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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"![My Logo](https://thoughtsociety.org/wp-content/uploads/2019/03/ts_notebook_header.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Segment 4: Visualizing Linear Relationships"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Seaborn Gym\n",
"\n",
"#### Although it will be tempting to crack open the statistics books, we will try to minimize that in this section\n",
"\n",
"You may get to use some of the muscles you built up in the Matplotlib section when working with Seaborn. Additionally, your experience with Pandas will come in handy in that Seaborn gets some of its super-powers from Pandas.\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Note: We will assume Anaconda for the Python Environment\n",
"#### Installation of Seaborn is already done if you use Anaconda\n",
"\n",
"This simplifies installation of many of the packages used in the course"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Seaborn Description\n",
"\n",
"This mad-sci https://github.com/mwaskom created Seaborn. It has gained serious following as a great window into statistical analysis with Python and is not going away anytime soon. The Matplotlib bindings give it the sturdiness and direct control that many of us have become comfortable with. An important distinction is how Seaborn abstracts away the dirty details of plotting and allows us to focus on what we are trying to visualize. You will see that since gaining experience with Matplotlib.\n",
"\n",
"[The great Seaborn Introduction](https://seaborn.pydata.org/introduction.html#intro-tidy-data) is a must-do to warm up for this gym.\n",
"\n",
"[There are very serious tutorials](https://seaborn.pydata.org/tutorial.html) that go deep and wide (if you need to) on the Seaborn pydata site which I suggest you get familiar with. \n",
"\n",
"### Tidy Data Concept\n",
"It should be pointed out that Seaborn likes what they call 'tidy data'. In that quest, Pandas dataframe integration makes it easy to prepare a dataset for a tidy existence. \n",
"\n",
"[Tidy Data is defined here:](https://seaborn.pydata.org/introduction.html#intro-tidy-data)\n",
"\n",
"Essentially:\n",
"\n",
"* Each variable is a column\n",
"* Each observation is a row\n",
"\n",
"### Numeric and Categorical Data\n",
"\n",
"What value would a visualization library have if it only handled numerical data? Often, those two types are used together to gain insights from data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# In this Gym\n",
"\n",
"Seaborn has extensive visualization methods. For clarity and continuity of your learning path we will loosely follow the framework of the [Seaborn tutorial](https://seaborn.pydata.org/tutorial.html)\n",
"\n",
"### We will be dividing the gym into four segments:\n",
"\n",
"1. Visualizing Statistical Relationships\n",
" - Using **scatter or line** - Relating two variables with the ability to map in Hue, Size and Style\n",
" - **relplot()**\n",
"2. Plotting from Categorical Data\n",
" - **stripplot(), swarmplot()** for categorical scatterplots\n",
" - **boxplot(), violinplot() and boxenplot()** for Categorical distribution plots\n",
" - **pointplot(),barplot() and countplot()** for Categorical estimation plots\n",
"3. Visualizing Dataset Distribution - Histograms (Univariate distributions), Scatterplots for Bivariate data\n",
" - **distplot(),rugplot(),jointplot(),pairplot() and kdeplot()** - Kernel Density Estimation\n",
"4. Visualizing Linear Relationships - Linear Regression Model rendering\n",
" - **regplot(), lmplot()** - Regression plot and figure-level combining regplot() and FacetGrid\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First, our imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Imports\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import seaborn as sns\n",
"sns.set(style=\"darkgrid\")\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Here is a quick illustration of what Seaborn can do"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# For ignoring warnings\n",
"import warnings\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"sns.set() # Initialize theme, scaling and color palette\n",
"sns.set(color_codes=True)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>total_bill</th>\n",
" <th>tip</th>\n",
" <th>sex</th>\n",
" <th>smoker</th>\n",
" <th>day</th>\n",
" <th>time</th>\n",
" <th>size</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>16.99</td>\n",
" <td>1.01</td>\n",
" <td>Female</td>\n",
" <td>No</td>\n",
" <td>Sun</td>\n",
" <td>Dinner</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>10.34</td>\n",
" <td>1.66</td>\n",
" <td>Male</td>\n",
" <td>No</td>\n",
" <td>Sun</td>\n",
" <td>Dinner</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>21.01</td>\n",
" <td>3.50</td>\n",
" <td>Male</td>\n",
" <td>No</td>\n",
" <td>Sun</td>\n",
" <td>Dinner</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>23.68</td>\n",
" <td>3.31</td>\n",
" <td>Male</td>\n",
" <td>No</td>\n",
" <td>Sun</td>\n",
" <td>Dinner</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>24.59</td>\n",
" <td>3.61</td>\n",
" <td>Female</td>\n",
" <td>No</td>\n",
" <td>Sun</td>\n",
" <td>Dinner</td>\n",
" <td>4</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" total_bill tip sex smoker day time size\n",
"0 16.99 1.01 Female No Sun Dinner 2\n",
"1 10.34 1.66 Male No Sun Dinner 3\n",
"2 21.01 3.50 Male No Sun Dinner 3\n",
"3 23.68 3.31 Male No Sun Dinner 2\n",
"4 24.59 3.61 Female No Sun Dinner 4"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tips = sns.load_dataset(\"tips\")# Read in a 'tidy' dataset into 'tips' which is a Pandas Dataframe\n",
"tips.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Functions to Draw Linear Regression Models\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Regplot and Lmplot are similar\n",
"\n",
"Both use regression using a scatterplot of x and y with a fit of the regression model y ~ x plus a 95% confidence\n",
"interval of the regression."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1e9612b0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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GgAkMiiRAUUQokgBJECA0Qx4DQdSSZgzjDHW4kcjo+RMD0PhiVg61LmTHOcdINIXBcASD4WjRjmcDfSFcsiEAv1ep6lgqjcAYRJHBpYhQJBGyxCAwtmh/TMnCMDU1BVEU0dbWOpnHRPPTaP6DUtixpRe/ePkIDGY2jZiVQq1zD8Ym0zhwxBaDYolnA30hbO4LosvfPLXaGANExqDIIhRFhCwySKLg+Cwr8bkuKAxHjx7F3/zN3+DgwYNgjOGyyy7D7t27sXLlysU/nSBqQCP5D0qhvy+Ejg7vkolKypmLUpnq5x5MxFW8F47iQDiCkRmJZ6Fcx7ONISzrbI7Es1nmIVGAKAooNA5VQ2AXFIZvf/vb+NznPofPfvaz4JzjP/7jP/Cd73wHjzzySOVHQxAEAOATm3qwNlTDQj8VprBURbXNRfGUhveOjmMwHMHQaMLxu842BZs3BDGwMYQVTZJ4xphdP8uliJBFAYokgLHqCMBcLCgM6XQad9xxR/7nL33pS3j88cerOiiCIJqTWpmLSkk8G9gYwpqetoZPPLP9BIBLkaCIIpZ1eaGAV9w8VA4LCsOGDRvwzjvv4PLLLwcAHD58GKtXr676wAiikWiFJjh7Xj+KF393ChnNgFuRsP2K1bj16g0lvbewVIVZpeiipZJ4lgsjzZ0KJEGAJE47jGf6DOrBgsIwPDyML33pS7jgggsgSRI+/PBDdHd345ZbbgEAPPvss1UfZLPQCotHK1KrJjiF358V3W244bKVNfv+7Hn9KPbsOw4GBlFgUHUTe/YdB4A5xaEWpSpyiWcHjkRxaGhG4pkkYNPaLgz0BXFeAyeeMWafChRJhKIIkEVh1ljrLQQzWVAYvvGNb9RiHE0PddBautSi+upgOIKfvXAoWzraQjyl48RIDHfedGFNvj8v/u5UXhQAQGSAadmvFxOGapaqMC2OD49F8ca7p/HB8dmJZ+ev6UR/n93xTGnQxDNBYLZ/IJdPMMNh3OjMKQzhcBh9fX3w+YrX8b744ourNqhmhDpoLV1qUX31yVfDSKY1MCZAFARYnCOZ1vDkq+GafH8ymjHL/CIw+3XA3vUapoWMZvdNrnRWssU5hkbjGDwSxXvHmi/xjDHY+QSyBJckZjPXF59PUC/m/IR3796Nn/zkJ/jc5z6HFStWgBfMMJ1O480336zJAJuFWpdubiVKMdFVo4dy7n6pjN0Apt03nfxUmHBWiWePjqcAMOTWZoExWGDZ18ub57mMx61IUHUTIrMXadPiYIyhzSPj/eNRrAn5oeomrAqudJxzDEdTGMzmGkwlnYlna3v86N8YxCXr7cSzj4Ym8NiLH2EirqLL78I1AytxQW/XnPf/aGgCrx0YLvn6cig1n6BZzctzCsMDDzyAyclJ9PX14dFHHwXn9hdF13X86Z/+aS3H2BQ0Y+mFZqAUE12lzXgz72eYFqaSKgDA75UdCWeVezYDY85F1w6mmd7FV/Oz2H7FauzZdxyGySGJAvxtClyKCMuy8G97D2HnlesqtqienUznxWDmxmll0Iv+vhCu+YPVYOa0P+GjoQnseeOY3WXPJSGW1rHnjWO4FSg6rnKvL4WceciliJCLmIdmamYzm5fnFIa//uu/xhtvvAHGGLZu3Zp/XRRFfPrTn67J4JqJZiy90AyUYqKrtBlv5v1y/XlVzYQoMMfOb/fP36nIs3u63BgZT8MCB4O9yHAOLA9Mbyyq+VncevUGyJKA3xwYAQeQTOvQDRPtPhc0w8RrB4YXJQwT8Yzd8SwcnTPxbGBjCN3ZxLNAh8fR3vK1A8MQRQGKZM9LkURo2deLjavc64vBmN03WzlH81Azm5fnFIaHH34YgJ3g9sMf/rBmA2pWmrH0QjNQiomu0ma8Yvdr9ylIZQzs/otPlj2+Urj9+o342fMHkdFMmBaHJAIeWcLt128s61nnMh4OOxT0yotX4DcHhiEKgqNZvSwKmIirZc0HyCWe2WJQLPGsP9v+spTEs4m4CvcM38J84yr3eqDy5Saa2by8oBeHRKF0mq30QjNQiomu0ma8cu5XqWf394Vw585N84arVvqzMK2CyqbZSq4+t4xYWs/vtAE7g7nUekKpjIEPjttZyEeHY7MTzzYEMNBXfuJZl99V1rhKvV4QGJRs9FAp5qFyaGbzcuO59wmigFJMdJU245Vzv0o+u3Bj0d3tx9iYs69wZT4LDs3gyGjFcw+uGViJPW8cgwZ7h62b9vuvGZi7NpqaSzw7EsHHp6ZmJZ5dsj6A/r4Q1q9sLynx7KOhCby59yOMjSfzTuNyx1XsesuycN3lqyBLLJ9lXM3ooWY2L5MwEA1NKSa6Spvx+vtCOD4Sm5UFXOx+tTQhnutn8Zkre7F5Q6ik3IMLertwK7BgNM904lkEh05MQjeLJJ5tDOG81R1lJZ7lnMaKLDqdxletx61XrS85yig3jzffP4O0amBlyI9tl67EprVdValGWoxmNi8zzpsr0jYaTdS0GXi9KLZjbCXqOf/CaJLCnd4Xbzy/Zn/UlZq/aS0+9yAX9jkey8DtkuDzyDg9lqxK4tm/PPsBYmkdXpeUN29phol2j4y7blk4dypfjbQguWxmNdJGp9LffUFgCAbLa5dAJwaCmEEzR5PY2OaitGpA1RaXe3DoxDie+s1RGCaHppuYTOoA0gDsBLi+VXbi2UXrKpN4di5OY0GwncQuWYBcwWY1rQwJA0HMoFmjSTg4VN1adKkKzjmGI0kMhqPY9/4Zh88AsEM4O3wKvnzbJWjzlN9PeD5yTmNZmjY/zXQazxQCSZztJyBRWBwkDAQxg2aJJhkMR/Crd04jpRoItLuweYNdWfRcOTuRxoFs+8voDBGURQEel233FwWGjGpUXBSAaaexqpsQGINhWpBEhhuvWIM2rwyFhKAmkDAQxAyaIZrkw+NR7P3tECxu76jDwzEcPjmJW69aX1YiWi7x7MCRKM7MKL/R3emGYVjgDPC6pkVAM8yqtcO8oLcL/0NgePdIFPGUhu4ONz65eTkuWR8kIaghJAwEMYNGjibhsPsevPS7k5hMqBCYbXIpJ7M3ltLw/lFbDE6eLZZ4FsLAxiCWB7w4fHLSDvs0zJLDV8sll1gmZ8tSX3nJcvzxp85HJDI9NhKC2kLCQBBFaKRkxVxl03Q2usi0OIZGE2U5aVMZAx8ci+JAOIpjI87EszaPjM0bgujvC6K3p82RhVxq+Gq5LFR3qBlacC5lSBiIsmmUipG1GEe956rpFlKqDk23HNFFpWT2qrqJg8cncCAcwccnpxzv97hEXLzeFoMNK9ohzJN4dkFv16KFINe1zKVIcMm2EDRzWeqlDgkDURaNUjGymuPIicFwJIm0ZsLnltDuU2o2V4tzxJMqorE0jDnaZM6VCfzJS5ZneyHPTjxTJAGb1nWhv6/8xLNzQZiRT9DoXcuIaUgYiLJolBj/ao2jUHBU3S4ZEc+GT3rdctXmypi940+rJtKqgU4mQDfmXjkLTTy5xLMOrxtPvHoUqu5MPLugtxP9fSFc2NtZ1Y5nzmY1AiSJTgXNCgkDURbVjPEvp+dxtcZRKDimxSEKDBbniKV0eN1yxfMZOABdt5DK6Hj/WBSvvnsaE3EV3QEftl60bE4TjsU5FFlEd5cXoxNpTI6nUSzx7OL1AbiV6v2Z508FruypQKBTwVKAhIEoi2rF+M80DU3E0vOabao1jkLBkUQBhmn3RzCyTegrlc9gcZ6tXaTDNDgOzWgsM5XIzGoswznH6Wzi2XvFOp4t92OgL4hLNgSrkmMAzG5hKcuUZbwUIWEgyqKcGP9yHLczTUNuWYRh8rzZZua9LuztxBvvn6l4rkGh4LT7FIzHMrC4LRKqbi7qGYwBusGR1gykVcNR82tmYxmXJMC0OF47MIxOvwuDR+y+BtGY87SyKuRDf18Qm/uC6GyrfG4BY3abUSUbSqqIAkSRobCzHInC0qNuwvDAAw9gYmIC999/f72GQJwDpcb4l+scLmYaMk0L4dNT+KsfvzbLCfzG+2dw1SXLcWhosqIRQ4XC51ZE+L0KEikdiiyg06ec8zPsvgcGtDlKVcysEWSYFlTNxImYin94YtBxbXenBwMbg+jfEEQo2/GsUhQWoZMLnMYUPNpa1EUY3nzzTTz99NO47rrr6vH4hmTmjvjz2y/E2pC35s8tZeErFIfhSBI/3fMhRJFhVciXf3/hCSCV0RFL6dANC//09PtY1uVBRjMdz5tpGkpmDIxnd8fxtA7OgcmEBsvi6Gp3QwVwaGgS937h8orOb6bw9XR5sG1gRV6A9u4fclxX+Jwnf3UEoxMZABxrl/vxx9dsQO9yPzIlVDbt8rswmdRgmHbxO92wZv3e7nhmJ55VMs5fYAySVPkidPUO9SXOnZqX3Z6cnMTdd9+Nm266CYcOHSr7xLAUy24XK/MMDtxxw8aq/iGda3np3PsMkyOWVAEwgAF+jwxZEvDFG8/Hv794GF63hLRqYDyuggGwLA6LA6IABNrdEEUh/zwAjrGMjqeh6SaYAFjONRLdnbaNfzKuoqPNVdKp5VzLZ5dyj8FwBD97/mD+VON1S9ANCyYHbtm6dt4cgFRGxwfHxvHmB6OzSlIwBlzY24ltl67CmmVtFRODXE6BIot2glkVcgoW+9m3ctn5liy7/b3vfQ9f//rXMTIyUutHNyzFQi9Ny6p6COi5hnzm3hdPqWBMgMBsZ2paM+F2Sdi7fyh/AoildDDYu1Izu/IwJiCe0tET8Oafl9v553aYFueQRAYOgDMOzm0zB0fu5GBBFOY3U1UipLWUe/zft07ZZiefDFU1MRHLQDM4BFa8RMV8iWcCs/0ZywJeXH/ZSmxaGyhpnPORNw9JBTkFVY4eapSwZuLcqKkwPPHEE1ixYgW2bt2Kp5566pzuUa7yNQPjCQ1+j+TYEUqcYSKhobvbX9vnigs/N/e+yGQGds4SgwDbJ+BzS5hIaPjKrn785KlBGIYFUbAXdJ69vygAhsmzpRCmn3dDtx83XLkeAHDfP7+BD49GIQoMTGTQDSuf6KUbFkSBIdjhthu3yyIymoGX3x3Ov38x8yvnM8poBnTLQkYzMJkwwbPWeEEATJNjKqUjEPBBN0y8H47idwdH8d6RiMNU5JJFDJzfjU9s6sFF6wMVSTxjDJAEe2FWFAGKLJXUVrNSVOKzr+Z3v9Gp99xrKgwvvPACxsbGcNttt2FqagqpVAp/93d/h/vuu6/keyxFU1KgTZkVemlaFrralKoep4s9V9XNBZ+be58kMhgmh8A4LM4higKSGQNdbQrWhry444aN+OmeD6Hqhl1fXxLAOYdp2YuEblhzPm/XdRtx6Ph4PpdAFJj97549NnT5FSiymF9gBcYwMpZw3Odc5zffZ2RH6QDrVvjx8bEIVN2ErplIq3ZDnNzaa3H7Ollg+Ml/HsCHxyeKJp4NbAzhgt7OfDRSbMrORQgEfBgfT5Y0xty4cmGkSrbkhAAOLWNCq0MbicV+9mRKaiFT0iOPPJL/76eeegq//e1vyxKFpUqxEFBwVL3M87mWl869z+OSEEuqMLntY/AoouP9/X0h3H3rRfjJng+Q0QqjcTi6/O55wz8/sakHO6/sxfNvDsG0LEiiAK9PgSQyuCQBM5OCi+UXnMv85gqLNUUBHT4ZjDEkUhou6u3Kt7a8ZmAlnnw1jLRqwOS22Ss3vDMTaZyZcCaeDWwM4aJ1XYtOPBOy5qF8IboGSi5rhtLlxNxQHkMDUCwEtBZRSYspL+2SBEzGMwAYJNF2ZC4PeGe9//hIbIYo2CTTOnp7/PM+79arN2DdivZZ4wNQ0qJT7vxmhthOJTW883EEN/zBKhwdjuP0WAJuRcS2S1fhvDWd+fedv6YT1122Mts0x5x133XL/ejfGMQl6xeXeCYwBlEEXIoERaxsclmlI4gauXQ5sTA1j0paLEvRlFSMRj1Klxtt8j8f/A1U3XTYt02LwyWLeOjr1875nIXmX41QyN0/fweTSQ0+twSXIkKRJSRSGiQB+LMdm2ZdPzqRmj/xbGMQmzecW+JZIODDxEQyHz2kyCJk0W5pWem/2EpEb1WaRv3+14KWMyURzU+50SYZzZjl9BSY/fpiWGy/hEJhcSsiwDkmEhr9WxQuAAAgAElEQVQ62hTIkgjd4Igl0jAtCxl1eqzjMbvj2WC4WMezbOJZXxChjvITzwqjh9q9MgTLXRPzEEUQETMhYSDKotzidW5Fsk8MBdpgcVS1sNtCFO6QRYEhntLh80jwuSVMxlWMjqfQ0eaCW5Ggmxb8XhlvvDeCwfDsjmeLTTyzzUPMPqFIdigpY4Df50ImpS18gwowHEna/h6LQxIFtPsUuBWxosUCieaChIEoi2LF62JJDZpu4S9//BpUzV5gBAb0BLzoXebDoZNTMC2eL6vABGD7Favz7y9mFrphRrjeYDiCJ18NY3Q8BYCh3SvB45ZnZVCXYmLau38IHpeEjjYFUwkNumEhOpWGYWZ7H3AgllSh6SYymomIyTF0djpCyO+RsbkviIGNQazuLi/xLF97KJ9cNts8VEvj7mA4grRmlxcXBTvKbDyWgd+roKersuU2molWz9omYWgRKvVFnxltEktqiKU0eBQJiWzpCgDgDDg9lgSYXXNI1Uxw2OaSLRcuw61Xb8iPq1hNpY4Ob975PhiO4GcvHEIyrWXvYCEa18DiGkKd7vx7jo/E8Mo7p5HJilMsqeFnzx/EnTs35efKmL3wtvsUJDMGhiMJWJZ9igGQTdYDLBNIpKdNSB6XhEvWB9C/MYj1y+fveDYTQbAXf9cctYfq6eXbu38IPreEeFqHxW3xtjiQSOn48x0X1G9gdaRRmlHVExKGFqCSX/TCaJPTkSSS2cUzpRrOXW/uf7P/0bvcPgGouomJxLSJZC779lOvHsHXb+/PX5NRjXyWtW5OP6gwg/qX+4fsMtkM+WzsZMbAf/0mjP6+ULbMtQGA48x4CookgheIAuD8b0UWcNFaWww2rnJ2PPtoaGLOPsgzcwqqUXKiUkSmMmj3KZAlAbGUDsOwQ4MVWWiZRXAm5HMhYWhqSj0FVPqLnnvPYy8dRiqjQ2DMsVgzOHfBxoz2koW267l8Fmezjt3BcATh01PQsws+ChZYXnBvRRKg6hYk0Q7hBACvS4LbJUI3gchkOl/I7g839eDp144intRgzrFYd/gUfP3zA46eyjk+mtE7IaUZePmdU/B7ZVy0PghZZFmHe+OXps6ZBr1uGV63HUqr6iY6fUqdR1Y/qtmMqlkgYWhSyjkFVOOLnhMbWRKzu3TuWLBZNkPZLoMxvdOemYg2V8OdZQFvfo4sezPOkW+ckzNL5e6tGVa+JpPfK8PjsgvZxZMaNN2EZlo4PhLHbw6cxpFTMUd9ImTvBWZnZLd5ZICjqCgAwOuDw/B5ZLR5bCctACTSOn79+2Fcfv6yc/5M6wElos2mWk2gmonqdgMnqkbhKYAxBpcsQhSFfFnoQkIdbjubuoDFftEjUxk7rNKnAOCz6/UXZP/qpt26slim844tvTBNuzQG5zx/za7rNubn2NGmoDBqs3BJ93tlqLoJSWDYsKodoU43LG6fEMYm00irJhRZxO7H3sG/PPchDhcUrbNPF0CbV8KKkA8rgj50d3ohigK6/M7cA5YVDZ9HhixL6GxTwDnHVFLDRNx2VI9EneGrzUB/XwhfvPF8dPoUpDIGOn1KXfMXGoG5vpOtJJZ0YmhSyjkFlLorLMdB7ZYFnImm7AgkwS6Mx7NRPTkHriQyeFwi0qqJsckMRIFhRcAZ6TJXhiwAhE/bO3tJEtDmlpHWzHxtpKBfgc+jAAxYEfLhExd0I6Oa+MUrR6CqOgp10M5GtjOSJZHB65bhUcRshVgN6YwBt2JCFgXopv3ZXDOwEoLAIM9wGgMAOEdkaunsKBebE7LUoKxtEoampZzjbilf9PlMUzPfe2FvJ2JpA6ZlAWDg2fpAfq+MO3duwt79Q/mxpTI6Uqqd+SyJDAbHLJNXbmHKCdPDzx9ERjORq6dqmhaSpoWA3wVRFLCs0417bh/IdkXTYZgckakMPj45BUVkSM7o3yAKDLJkRwJ1+l2O8NI2jwzL4mj3yIilNCwPeHHdZatw0fogFKm407iRzC+tHlZZLVpdLEkYmpRyF6eFvuhzOaif/NURqIblEIzn/3sIbR4ZwQ4PYkkNhmmXwW73KejvC+Wb9ACY7scgsHwpjGKO70JhSs/oeCYwQJYEWBZHsFPBNQMrEZnKYDKuZrOQIzg15qxEKggMXpcEj0uCLAnQDBOJpA7dtPK+A8bs6zau7sBdN19kdy8T7QSzHMWcxoVCOzQaR0azYHGOn+75ENuvWJ0Pxa025Yg5CQZRDiQMTcpij7szd5qnI8lZdnVFEjASSSHY6Z7RRIgjldGxPOiDx2V3aZtKqBiOJLH75+/ALU8LlZqtQMpgm4Ry951p8soJk2laDlFwKSJ8bhmKLEDTDFzaF8LpsSReeHMIx0dis/wN/RuCGAxH4PPIEAocE3K2ib3AAFkW0OaRwQBkVAM3fmINfO7yitv194VwfCSGw6cmwRiDLDCouok9+44DwKLEYTAcwctPDmJkLHFO0WbFxLzV4vCJxUHC0MSc63G32E4zo5qImGmYHHYsuyTAo4gAOBTJGaMgiwIM017w06rdm5lzQJZETCY1pDIGdN2AZkxHEHHYxfPSqgFBYLNMXjmfyWhchcAAj1u2zTycI53RMBU3oSgiHn8l7IgoyiWeDWwMYl028WwkmkQsrUMR7FOBIotgDOjtacPV/Svwq3dO40w0hXafgps/uQ4XrTu3Lmkv/u4UGFi+FpTIANOyXz9XYcj927gU8ZyjzYqJeavF4ROLg4ShBdm7fwi6YU0nNEkCBAF5XwDnHKpm5nf7Q6OJWfdgAKYSKtLZxDYODtOyMBpNAdnsYsacEUSWxXE225sgllCx++fv5E1f8ZSGeEqHxy0h4HcjpeqITKZhFpwe0gUlrRmAjjYZt3xyPTbNWNi3XboKz+8fgmVZEAQBqbQOJjB88qrluHhdEBevC1bkcyylQGAxHwAw90kvdwpwK3a47XyL+lx+pmJiXo84/HLnXsr7SdhqAwlDC3I6kkRKNbJx/7Zz18hmegkM0K353w/YWcHJtAHdtCCLDIZlZxrnag0B0z2ai5HWTIxOpPGvez+CJACdfjdMy0I8pWMyrs77bNtnAcSSOp76zVHcLjBsWhuAKDG4ZRGBdhdkAYglDaRUe/F2K6LDX1CJRWehAoHFTmY/e+EQwDm8HrnoiaAS0WY9AS+0rKjkqHXUVNG5P38QYAxet7Tgaeitg6MtX5ainpAwtCCmaScZ5Or92P8/W0pCFCDBgmnx+bN1GUOw04VYIud8hmN3DzjLS8zELYtwKyIEBkwmdGQ0bdb7Cx5lC1hWsKRsZrGiiPC6JBw+OYlQpxuvvH0aw5Ek4ikdiiwg0OFG7iyh6mZ+112pEiHbr1iNPfuOw7SmQ3Q5eL5AYDEfwHh2ge9qd+dfKzwR5E4ByiKizYDSGhlVk3nnnvVlzXcaeurVIy1flqKekDC0IJLIoOocFmf5BS2HYVgQ2MIlHAzDysb2M2Q0C2xGJzEh16O5AFmyF2K3ItpVSyfTjlIacyFmI5okUYDHJcLvkSEIDGnVQDyl44Pj4zhyespeSBQRkak0VINln2c7lQt33ZUqEZLzI7z4u1PIaAbciuSISiq2+8+F+BZSOLbcKSCjGRAYW1S0WT3NMMXnnvM2TTPXaWh0PAW3XH9zWKtCwtCCrAz5MDqRRlo1YJh20TTbLGJlq2vyec1ADICU3YmuDPmQSOs4O5GGZfFsCQy7ThAHhygyeLJho6bJEU9pmEoU7zMgFJwMcmU12twSZNkOOeWcI6OZdplvww4RtVtbCvC6pxd6u9GO7UPJCUPhrruSJUJuvXrDnI7mYj4AUZhdbKBwbLnF++V3hxeMSpqPesfhF5+7s34UMPdpqCfgxdhEaskkETYbJAwtQLEG99FYBp1+l8PU8Ed/sBxvHTqL4WgKgjBtupkFAzyK6NjJPvbSYSTTdjKbxQGPS0SnzwPVMBFP6Yin0rNuIzBAFAUw8LyPwy5MJ8LtEiGLIjTD7okQT6p2IT3Yp5Fc+Wy3y144Cp2t7T4F0ak0dMMC53zWrrtWtXCK+QDcLgnIllmYy8zT3xfCDVeub+rWlkXnrogAY/POPceu6zbin578fUMkEbYi4t/+7d/+bb0HUQ7ptNawlSoric/nQqoCHbwGwxH87PmDGJvMIKUamEpoOHk2gW0DK5FI65hKagj4Xdh17QZce+kqXH/5aqxb4cdEXIWqm3bNIz7tmM6Zg1YGfdh17Qb094XQE/Aik9FxfDQBv1dBm1tGRjcwmVCRyhi2T6MAIdujYc2yNtz8yXW4dGMI8YwOtyzC45JhmBYympGPetJ0CxYHFIlhRdCHVEYHA8PygAdf3H4BRifSSKpGvmSFLAkAWH5vmptfbgft98o4cCQCi9u72Nyis+vaDegJeBf9mefoCXjR0+XBqbOJ/Of8uev7cNn53Y7XCseWo1L//vWi+Nw34rLzQgvOHQDOWxtAm0ss6dqlRqX/7Rlj8HrLq5bLOG+uZTYaTcyyXS9FKtUQ/Hv/8t8YGU+DsekoIc6BFQEP/tddVy76/ozZtuP//fjvcWIkjrRmwJpx0vC4RFx+Xjf6N4awutsHxhgEgUERBSguES5RgCRNdzH7nw/+BqphQixIQc5lTT/09WtnjeFcmtk3eihkpRvCNxutPP9Kz10QGILBtrLeQ6akBuWtg6P4jxcPLXrhGp3I5Es8GAWRRiPjs007pcKY7XyeSml4+9AY3j48hsMnJ+e83iULOG9NB9Yu90OR7B4GM+sQFW5PRJGBGTN8HdnmN8U4lyzwetvgCaKRIWFoQAbDEfzi5SMAQwViuDksi+cjj3ILrWlxDIYjJd8vJwbxjI53D4/hncMRfDQ0kfcNFMN2aovoCfhwaGgCV/evzDfRAeaOfFoV8mFsKo1E2nBkYS+fx8xTzkJfj9NCo59QCKIQEoYGZO/+IUgSy0ewzAynnG+RGQxH8Oj/+QjjMTXfzKZw/c39tygw/HTPh3bFU9OOHloV8s1YsDgMiyOdMXAgHMU7h8fw/tHoLDFY29OGyYSKqaQOWRLgcdkhqYwxZDQDiZSGkUgSP/r/3y1pYdyxpRe/ePkIuvxixR2P9ejnSz2EGxMS67khYWhAIlMZdLQpjgU4F065UEXNn+z5wFE6Yq79vGlxZDQja2ZigAFEYxk88/pRiAJDb48fB0+M453DEbx3dBxp1ZjjTsDpsSSuuLAbR0fiALPzCybiKvRsTkQibbf/tFtILrww9veF0NHhzZvS3LIASRbx7y8eRqhjaFF/wPXo50s9hBsPEuv5IWFoQEIdbiQyuiPmPRdOOd8iAwCZfDVTm5nCkAvzzOFWZHhcIlyK7fxNaxYefv4gTIsjntKn3we70qmu2+GoTLDzE7wuCaLIcPjUlB1aqprTYaXZstaGyeFvk8taGD+xqQdrQ96K/wHXo58v9RBuPEis54daezYgO7b0wjB40daCuZaaheQWmchUZt5QXikbteNWRHT6XegJeOH3SlA1A2ciKQxHUjgTTWEyoeVFYXW3Dzu3rsU3v3g5vC674mew041lXR7IkoBYSsOZaAoTCQ2mCQQ7PejudEPJmpIEZmdXt89oLl/qwlhOC9NSqEab00Z8JjE/8/0dEXRiaEhmmlIK7Z+hDmd3tFhKh25Y+eJxM08EgO1P8LhE+L0KBIEho5lQVR1jKa2o81iWBFx36Sr0bwwi2O6GwBgUScAFvV0In57CVErPV17Nv0e0y2OYpt0HoN0rYypbR0kSBcRTOtp9yqwxL+QAr/Ruux7d1xqp4xthU6skx2aFhKFByZlSZpJbZKZUA/G0DnC7+IRLERFLapBFe+GRs2GhbkW0M4Vhh3tOxFSkVdPR0yCHfZoQ8D+u7cOFa7sgS3YGsksSIYkMWy7qwYEj0VmiAACiYJfa2LGlF0++GsbZ8QwkUUCg3QXD5JhKqtB0E5ls0lxuzAuZhSr9B1yPfr7UQ7jxILGeHxKGJiO3mPx0z4cA55AlEe0+Jb+r9sgCLDCMx1RkNLuJjsAYOAB9hjlDzJaWEMAgSXZU0nWXr8bmviDcit3mkvPp6I1cue6ZMAC6yfOL3d79Q1gW8DoWc8Auk83Y9Jg9LslR9bQYO7b04mfPH8T4VAamxfMltO/41MZFfYa1XpQpb6KxILGeHxKGJqS/LwSvW8KygAduRYIiC9B1C+OxDMYmdLR5ZEwlVXCOrKlo+nTgdUm4ZEMA/X0hrFvht30A2cX25Nk4fvXOaTz7xjF0trkcdZB0w3KIQq4CKxMYZNG2/ef+qIqZf9p9CmJJDau628AKchlKMguxQlc6g6Mp8xxQKCKxECTWc0PC0KT0rWxHXDVgmRyj4ym7M1p23UxmnLt6xuwFuKvNha9+djNEQci+JsLjtrOQPzw+jkf/z0d2WQlZzEf/uCQBoiggltLBMB3VxGEXvJNEhk6/C50FzuW5zD9uRSq7gcze/UPwuiVHP+qFThkUikgQi4OikpqAXD0i1TARS2mITKZx0foAhs/GMRxJ4OxEOr9YF7oOGLOboiwPeBFod0M3LbgkEW1eGcEONwLtLrhlEQJjeOHNExBFId9+MzKZxlRCw8h4GookwDCsfAgqss9h4NANc5ZtdseWXpimNSuqavsVq4u+Pp9d91yiRyodyUQQrUZdTgwPPfQQfvnLXwIAtm3bhnvvvbcew2hoTMsuF60bJlTdgpHtP2BZHMfOxPD+0XGkVft3hbhkEYZlwcrmEnhckr0wSgzr2v0IdXry1xaKSGTKrqk0EVcB2GGmumGBAzh5NpEdk9OKY1gcHkWaVaxuPvvtuhXtZZl4zsX5XGokU63NTWTeIpqFmgvDvn378Prrr+Ppp58GYwx33XUXXnrpJdx44421HkrVWGgBmPn7z1xp/94wLegmx/vHonjjvfcQPjmBRIFZSBKZo+5R4evc4jA5oOmmbeYRGHwe2U5US2tIpg2ET03hzQ9Gbf8AbGEQGANj3NF7gYGDC9OeiUIBmfnfKdXAk6+GAWBeccjt1uez6xZ+Lm1eBYZuYCqlI6OaaPPK8HvlkqJH3LKAM9GU3fVNskNnRVFwiMme14/i+f8eyju0J+IZHD45iZVBL26/fmPZC3Yp/+almLdy9xlPaFBE226X0S0SEqKm1LwfQyaTwZYtW7Bq1SqIooj33nsPoiji0ksvLen9jd6PIbcA5BqTJFUDB45E0NPlwehECv/49Ht4+e1TUDUTnX4FiiLh45OTkCQGlyzh9x+P4T9fDePsRArJjDMs1OLOTGYGwK0I0Ayef93jktDRpsDvU+wuZknVLkZXsPLPrJ1U7PN0mKQWmHM8pePDExNYGfLm+xnM9zkU63lQeD3ntt8kkTbQ5pEgiQKSGQOmaaG70zNvXf7BcAT/ffAsVN0AwMA5R1o1wQB87vqN6Anksqk/zlZvtZsEcW6fhtKaicOnJucc51zPXGiu/9/eQ3n/CmMMkijA4sCpswlctXnFrPswhvxn4HGJ0Ew+7+e31Gj2fhSLoRH6MdTcx3DeeeflReD48eP45S9/iW3bttV6GFVjLvv2f/0mjP967RgM00JPwAe3S0QkpuLsRBKRWAYv/fYkLM7xytunoOoWUpnZuQKFyKIdTaRqFmSRod2noCfghc8jIZUxcCaaQixZPIGtXEq5Q0Y1HDb8cu38hdfHU3q+S1s8baCjzYVghxsrQz7c+4XL590155zVwQ5PtmGPfXpq9ymOU4zFLYgCc5y+OLdNeOX6I0qZaym+ksL7TCU0MCbkPwPykxC1pG5RSR9//DG+/OUv495778W6detKfl+5DSdqzXhCg98jgWWzheXs/w1HUvC5BZyd0GFYJji3zT+axhBod+HMRBo/2fMBTo4lS3sQY/AoAhRZgtclIJYyEE+qMC07aqeW5Mp4TyQ0dHf7ATg/hxySyBzXFFJ4vWFyiALAYWdSy5Iw73vnuk+uDAfnHIm04RibLIkwremTQs55r8gCfG6ppGcVe+Zcc13R3YaJWBruAl9JRjOworut6GemG5b9GfDyP4OlQqvMsxj1nntdhOHtt9/GPffcg/vuuw87d+4s672N3sFtZcCDtG7C65KhGyaSGQPxlIboZBrdXV4YlgXTBBjsdpWGzjEStZvmnDizcNcmSWTwumW0e2XoJkcipWEqYWcyi8LC8f3lIs7X+zkLg70r72pT8p2nAm3KLKexqpuOawopvF4SWXbRtnfvumHN+9657jPXcwNtCnTdRDyl2WXJC75ObR4ZyYxR0rPKeeYNl63EYy8dhmFyR6btDZetLPqZyZKQTUgs/zNYClAHt/p2cKu5KWlkZARf/epX8aMf/ahsUWhUOLcjZZKqgSsv7kEsoeLUWBzRqQwmE3YpiGCHB6phQhYFmBaHYcFhxnDJIi5Y0wlxjn8Rj0tCqNOdjyo6M57C6LjtYOXg8CgiLItXxHQEAO1eGd2dbkiSWEo+GdwuyeEQvrC3E9GpDE6eTeBMNIWphDqv07gwxNXvlWFld/N+j1RSWGux+8wVErtjSy8kkcHvVRxd4fxeCaIolF0aoZRn9veF8MUbz0enT0EqY6DTp8yK5iq8T0ebAs6tc/oMCGKx1PzE8PDDD0NVVdx///351+644w78yZ/8Sa2Hcs4whnwEkaqaUA17QeAc6O1px/YrevHagWFMxFV0tClY2+PHsTNxjI7ObqfpVgRcvXklVgS9eO7N49n8AOQji7xuCV63DMO0YBgmxmMZWNmw0Vx+w5YLl2EioeHwycns6/YduDW3fyD3jFxUEucMHPZuVmCA1yPb7TezC+VVlyzHW4fOYjiacgiawOwaSbdf1+doFvTG+2fQ5pGRyugwTBPJNMfOrXNH1cyMYlrT44ehG8joFjp9SskROaWUOii8JldiIxf9U86zynlm7rqF2o3m7jOR0LAi6FvUuAjiXGGcN3KMz2zqYUpizO4/rBt2QldGN2EavGghOsAWjSOnpnAgHMHB4xOOkssMgCQJCLQpuPGKNbhofRAA8C/PfoBYWkcsqUESGNwuGYosIK0aSKZ1GCZHu1eG1yPPMll0+hTc+4XLce8/74PX7bR1c84xEVfhVmznZaEZY+aONUdhbSTT5JBEli+QV8rCtPvn7xQ1reTGWQqtbEoAaP6tPP9GMCVRSYw54TBNDs20oGqmHUZp8Tl34JbFcWwkhsFwFO8fc3Y8ExjDeWs6MNAXwqa1XXAp4qz3TyU1dLW7EerwIDKVRjJtYDzmLG0RS9m77+4uX/41wzARPh3Dvf+8D6mMHZba0TZdPsIWAV5WU5Lca7m4e0USyiorQY1pCKK5IWEoIFeBVDNMZDQDZja+fc7rOcfJswkcCEfxfjhql8HOwgCsX9mOgb4gLl4fnLVQ5q9jgCyJOH9NJyKxDKYSKiKTcy+gKdVCKqPD67bNNBNxLW9yMi27vDVgF63LnQwkkcEwTEzEVRiGBUkS4PdIC5aVMEyOeErN91TwuKSSOlxRrXuCaG5aWhhyNno9dyrQTJh8YTE4M57CYDiKwXA0W0JimjXL2tDfF8TmviDaC5JKPhqayPsdAn4XrvuD1di8IQiPyy5it+WiHvzshUNIphdObIlMZiAIKsysSc3iHKeyZSsA+/QRS2pwKxK2X7Eabx06i5HxtF1imwGmaWEirmFFwDPXIzAcSSKZ0cGYYDtUNRMZzUQsqS3YXKeUWvfNXB6imcdOEKXQcsLAkXUcGxY0zYRmWiX5LCKTaRzIisHYpNOJvDzgRX9fEP19QQTaZ++KPxqawJ43joExBlFkSOsm9rx+DJPxDHZuXZ8XooxqLBgampuDWTDmXAx+IaFON0RRwBvvn8nenwMQCjq8WfOWr7ajmxg4txxjsiy+oElpIWdsM1c/beaxE0SpLHlhKIwg0jQTmr7wqSDHZELFe+EoDoSjGI44E8+C7W70b7TFoKfLWaLgo6EJ7N1/AtEpFQCHxy2ho80Fy+JIZQwk0ip0w8KeN05gzTI7keWxlw7DsDhkkdmJXZZVVumPXJRR7r/jKR09AS9UANHJNALtbsRTet4s5Pe6kSnSiS2HKDLAAKwZlzCB5TNwF4qwmev3zdyIvZnHThClsuSEIbcj1rK+AlUzYJqYM4JoJom0jveP2mIwM+HMLqtgi8GqkM8R/ZPjo6EJPPlqGKpmwOeR4XXL0E0L0SkVqmZAyiYqCFkzVq7EgSjaGdKmaUFgAMuGic53mJkr+UwQkK+NZJdhsBfzwho7uSihuVgV8uHMeAqTCdu0ZZuhGGRJWJQjeTAcQfh0DBafLnDndctN45wmxzrRCiwZYTAsyxaDEiKIZpJWDXx4fByD4SjCp6cci7HXLWHzBlsM1i63O57Nx39/cAY+t4ROvwuqZmIqoSGtGnYPnYK3cgCyWLigcJimle+4JgrZ6+eZBCu4wFFcj9nlEwBbIHu63FANq6z+tjk/gSIJWVG1n5Vzap+LIzlnhskN2zQtjGd9NDOrnzYq5FgnWoGmFAbbPMRhWFmnsW7m696UimaYOHRiEoPhCD4amnTY7F2yiIvXd6G/L4S+VR0llZoQBAaPSwLAkNFMTCbsvgaAbZbJVfAszGlQJHuhSaQ0h3PY4tMnAVFgjrHlEAWWr/MD2Lv5XJId5xb8Xnc+W/aOG88HUF5/29zvnvzVEQxHU5BEho42FwSBnXMGbs4M0+l3YTyWAcDAwDGV0NDRpjRFVi81kSdagaYThrRqIJkx8o1rymG+xDNZFHDh2k4MbAzhvNWd+cqc82EnqzF43HK+ExpjQEYzYfHpbmdALrt4+n0AkNFNXNjbibc+GsO0c3jakyyw4iYwgdknmQ6vDDCWr6Iqiiz/WkYzZ2XLlmsDz/kJCqNwFpOBmzPDMMYQaHcjltTyzYDmSrZrNKiJPNEKNJ0wJNJ6trhYaVgWx9Fs4tkHx6JIq9PeVFFgOG91B/o3ZhPP5NmJZ8VgDHBJIlrU3HAAAAupSURBVLxuCcqM9+zY0oufPX8QyYwBCzwfESQwBrfLruhZmBdwaGgSGc3MO4fVbLSqlPUxiKIAzq2s0DCIAsOyTjf+111XlvwZLJZKNU0vNMN4XBI8Linv62imhbUZmshTSC2xGJpOGEohn3h2JIr3j86ReLYxhIvXBeZMPCtGbnHP5R4UO7D094Vw585NePJXRzA6kQFjHD0Bn53Z7HfNKleR+8OdTGroCXhx6mzCPmnkTUR2+WkAWL2sDZzbkU3NCJlhagOF1BKLZckIA+ccI9EUBsMRDIaj+WiaHL09duLZJRuciWelIAoMHrcEjyJCFITs8+a+vtiOslj9oJzTsnDBlEQBhmnlayrl3AtS1rRVjqOz0XaNZIapDRRSSyyWpheG6cSzCMZmlJJYEZxOPOvylxc1wpi9SHvdEtyKCLZgg8v5mW+3XLhgJtM6LIujvU2BwJB30pZberlRd43NYIZpdiikllgsTSkMkwnVLklxJILhaMrxu1zi2UBfCMu6PPhoaAL/+WoYE3EVXX4XrhlYiQt6u+a8t8AYFFnIx9YDpe+857tuod1y4YI5GI7g5XeHMTKWOKfSy4PhCH6650NkdBNyQa5AtXaNjXYyaXUopJZYLE0nDD9/6WO8+/GY47UOn4LNfUEM9AWxsiDxLFeKQhQFuF0SYmkde944hluBWeJQaC6SxGn/Qak771KuK3W33N8Xwg1Xrj+n0ru5cai6AZExR66AxzV/4bxzoVFPJq0M+XKIxdJ0wnA6YheL87klXLJA4tlrB4azZaPtnZMiidCyr1/Q2zWnuajQf1CqvbZR7Lq5cciSCMPk+ZDXWEqvShJZo8ybmIZ8OcRiaTphuGR9EGu3tmHDyoUTzybiKtwu5xRlUUBKNfLhkopUEAJUhFLttY1i182No92n2N3euC13epV2jY0yb8IJ+XKIxVDzns+L5TNX9uK81Z0lZSN3+V3QsynELJsU1tXuRm+PH51tSr6O0HyEOtyORDiguL221OuqTW4cHpeEQLsbkshgcQ63LFYliaxR5k0QROVoOmEoh2sGVoIBcLtEdHd6wBgwEUvjk5csL7l8RimN3su5rtoUjsOtiOj0uxBod+PuWy+qyg6yUeZNEETlaDpTUqkIAsNl53cj1OnGy2+dwumxBILtbnz+U+dVrdF7KddVm1qPo1HmTRBE5WCcl1lwqM4cCo/NWxJDEhm8bhluRVywEmoj08rN0AGaP82/dedf6bkLAkMw2FbWe5bEiSHXN9nrluCSxPkakxEEQRAL0NTCIDAGlyKWFF1EEARBlEZTCoOUTUZzF9QuIgiCICpD0wlDe5sLcgmhqgRBEMS50XTbbVcJDXQIgiCIc4dWWYIgCMIBCQNBEAThgISBIAiCcEDCQBAEQTggYSAIgiAckDAQBEEQDkgYCIIgCAdNl+AmtFByWyvNtRg0f5p/q1LJuZ/LvZquuipBEARRXciURBAEQTggYSAIgiAckDAQBEEQDkgYCIIgCAckDARBEIQDEgaCIAjCAQkDQRAE4YCEgSAIgnBAwkAQBEE4IGFoIBKJBG6++WacOnUKALBv3z7ccsst2L59Ox588ME6j656PPTQQ9i5cyd27tyJ3bt3A2iduQPAP/zDP+Cmm27Czp078cgjjwBorfnneOCBB/Ctb30LAHDw4EHs2rULn/70p/Gd73wHhmHUeXTV40tf+hJ27tyJ2267DbfddhsOHDiAZ599FjfddBO2b9+Oxx57rPaD4kRD8Pvf/57ffPPN/OKLL+YnT57k6XSab9u2jQ8NDXFd1/mdd97JX3311XoPs+K88cYb/POf/zxXVZVrmsb/7M/+jD/77LMtMXfOOd+/fz+/4447uK7rPJ1O8+uvv54fPHiwZeafY9++fXzLli38m9/8Juec8507d/J3332Xc875t7/9bf7YY4/Vc3hVw7IsfvXVV3Nd1/OvnTlzhl9//fV8YmKCJ5NJfsstt/CPP/64puOiE0OD8Pjjj+P73/8+li1bBgAYHBzE2rVrsWbNGkiShFtuuQV79+6t8ygrT3d3N771rW9BURTIsoy+vj4cP368JeYOAH/4h3+If/u3f4MkSYhGozBNE7FYrGXmDwCTk5N48MEH8ZWvfAUAcPr0aWQyGVx66aUAgF27di3Z+R89ehQAcOedd+LWW2/Fv//7v2Pfvn248sor0dnZCa/Xi09/+tM1nz8JQ4Pwgx/8AJ/4xCfyP589exbd3d35n5ctW4bR0dF6DK2qnHfeefkF4Pjx4/jlL38JxlhLzD2HLMv48Y9/jJ07d2Lr1q0t82+f43vf+x6+/vWvo729HcDs7353d/eSnX8sFsPWrVvxj//4j/jXf/1X/OIXv8Dw8HDd//1JGBoUy7LA2HS5XM654+elxscff4w777wT9957L9asWdNScweAe+65B2+++SZGRkZw/Pjxlpn/E088gRUrVmDr1q3511rpu3/ZZZdh9+7d8Pv9CAQCuP322/HjH/+47vNvun4MrcLy5csxNjaW/3lsbCxvZlpqvP3227jnnntw3333YefOnfjtb3/bMnMPh8PQNA2bNm2Cx+PB9u3bsXfvXoiimL9mKc//hRdewNjYGG677TZMTU0hlUqBMeb4949EIkt2/m+99RZ0Xc8LI+ccq1atqvv3n04MDcrAwACOHTuGEydOwDRNPPfcc7j22mvrPayKMzIygq9+9av40Y9+hJ07dwJonbkDwKlTp/Dd734XmqZB0zS8/PLLuOOOO1pm/o888giee+45PPPMM7jnnnvwqU99Cj/84Q/hcrnw9ttvAwCeeeaZJTv/eDyO3bt3Q1VVJBIJPP300/j7v/97vPnmmxgfH0c6ncaLL75Y8/nTiaFBcblcuP/++/G1r30Nqqpi27Zt2LFjR72HVXEefvhhqKqK+++/P//aHXfc0RJzB4Bt27ZhcHAQf/zHf/z/2rt7l0baKIzDv2xCarWxUFBQIigoYiNWiYFBUWMiKipMFC0sbLQJCFYS0EIkIoiFjf9AFBT8AIkgFrERizRCiqggaayC4leyxcIug7vsZk32fSH31eYwZ04R7nmekGew2+0YhkFPTw8VFRUlMf+vrKyssLCwQCaToampiWAw+F/fUlF4PB6urq7w+/1ks1nGxsZoa2tjbm6OYDDI6+srg4ODNDc3/9P70hvcRETEQltJIiJioWAQERELBYOIiFgoGERExELBICIiFgoGERGxUDBISZqcnOTh4eHTNfF4nN7e3t/2a2ho+Om1Tk5OCIfDwLfjlw8PD7m7u6O1tfW31xQpFv3BTUrS+fl5QWo+y+v14vV6i95HJB9aMUjJmZ+fB2B8fJyLiwtM06Svrw+fz8fu7u6Hmvv7e2KxGCMjIwwMDOB2u4lEInn3jUQiBAIB+vv7icViAESjUaanpws0mUhhaMUgJWdpaYloNMr29jbDw8OEQiEMwyCdTjM0NERNTY2lpry8nFAoxPLyMrW1taTTaTweT97HNFRXV7O4uMj19TWmaXJwcFCkCUU+R8EgJSuZTPL8/IxhGABUVlZiGAZnZ2eWPX6bzcbm5ianp6fs7++TTCbJ5XI8PT3l1W90dBQAl8tFXV0dl5eXhRtGpIC0lSQly2azfTjnPpfLfXi/8OPjI4FAgEQiQWNjI6FQCIfDQb7HjH358uPrls1mcTj0XCb/TwoGKUl2u52qqiocDgfHx8cApNNpjo6O6Ojo+F7z9vZGKpUik8kwOztLZ2cn8Xicl5cXstlsXj13dnYASCQS3Nzc0NLSUtihRApEjyxSkrq6upiYmGBjY4NwOMz6+jrv7+/MzMzQ3t7+vcY0TdbW1nC73XR3d+N0OnG5XNTX15NKpXA6nX/c8/b2Fr/fj81mY3V1lbKysmKNJ/IpOnZbREQstGIQKYCtrS329vZ++tnU1BQ+n+8f35HI39OKQURELPTjs4iIWCgYRETEQsEgIiIWCgYREbFQMIiIiMVXWnH5Wo0ZiXgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.regplot(x=\"total_bill\", y=\"tip\", data=tips)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1f06a7f0>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Seaborn creator stresses there are differences but Lmplot is a subset of regplot. \n",
"Non-optimal scatterplot using tip for the regression is too simple to provide insight."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1f146550>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(x=\"size\", y=\"tip\", data=tips)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1f452ef0>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# add some jitter which is random noise to the discrete tip values to make it clear.\n",
"# Only applies jitter to the scatterplot data and not the regression\n",
"\n",
"sns.lmplot(x=\"size\", y=\"tip\", data=tips, x_jitter=.08)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Why not collapse over the observations in each discrete bin showing an estimate of central tendency and confidence interval. Helpful to understand the x_estimator:\n",
"\n",
"**x_estimator** from Seaborn API Reference: callable that maps vector -> scalar, optional\n",
"\n",
"Apply this function to each unique value of x and plot the resulting estimate. \n",
"This is useful when x is a discrete variable. If **x_ci** is given, \n",
"this estimate will be bootstrapped and a confidence interval will be drawn."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1f596780>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(x=\"size\", y=\"tip\", data=tips, x_estimator=np.mean)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fitting Different Kinds of Models\n",
"\n",
"Fun with Anscombe's Quartet to show linear regression will yield similar results but visually they are different.\n",
"This is a small dataset with slightly different linear relationships but when plotted, is visibly different.\n",
"\n",
"Mr.Waskom (Seaborn) thought of everything it seems."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"anscombe = sns.load_dataset(\"anscombe\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1f70f470>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'I'\"), # pick from Anscombe's 1st dataset\n",
" ci=None, scatter_kws={\"s\": 80})"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1f58dc18>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# the second dataset has a similar linear relationship but... oh - that's looks way different!\n",
"sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'II'\"),\n",
" ci=None, scatter_kws={\"s\": 80})"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1f8739b0>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# watch lmplot fit a polynomial regression model to explore simple kinds of non-learn trends in the dataset\n",
"# With order > 1, numpy.polyfit is used for the regression as a polynomial fit\n",
"sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'II'\"),\n",
" order=2, ci=None, scatter_kws={\"s\": 80})"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1fb22fd0>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Here we see an outlier observation\n",
"sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'III'\"),\n",
" ci=None, scatter_kws={\"s\": 80})"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1fc97390>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Well if we have outliers, why not fit a robust regressions using a \n",
"# different loss function to downweight relatively large residuals\n",
"# robust=true has the effect of de-weighting outliers\n",
"\n",
"sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'III'\"),\n",
" robust=True, ci=None, scatter_kws={\"s\": 80})"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a1fb229b0>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Adding a 'big_tip' column that includes any tips over 15%\n",
"# add the jitter so we can see it\n",
"\n",
"tips[\"big_tip\"] = (tips.tip / tips.total_bill) > .15\n",
"sns.lmplot(x=\"total_bill\", y=\"big_tip\", data=tips,\n",
" y_jitter=.05)\n",
"\n",
"# But: Implausible results - sorry - What? tips at 100%?"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a200cb278>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Becomes a logistic regression - low probability of y = 1 for given value of x\n",
"sns.lmplot(x=\"total_bill\", y=\"big_tip\", data=tips,logistic=True,\n",
" y_jitter=.05)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a201ffe80>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Standard lmplot fit of tips\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a20371b70>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# fit a nonparametric regression using a lowess smoother\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips,\n",
" lowess=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Conditioning on Other Variables\n",
"\n",
"How do the pairs of variables relate as a function of a third variable?\n",
"Using color can provide that"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a204b9c88>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 418.459x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", data=tips)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a2061b198>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 418.459x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Markers add readability\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", data=tips,\n",
" markers=[\"o\", \"x\"], palette=\"Set1\")"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a2061bf28>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 778.459x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# To add “facets” for a level of the variable \n",
"# this adds a column as a facet for 'time'\n",
"\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", col=\"time\", data=tips)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a20a87ba8>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RkZ4UCIjIqIvjmGIQnethiIiISA8KBERkVMUm5kS2hDHneiQiIiLSk3uuByAiF64ojunIlAgjRQEiIiLjjQIBERkVYWzoTJcIYwUBIiIi45ECAREZcWFk6MwUFQSIiIiMYwoERGREhZGhI1MkUhAgIiIyrikQEJERE0QxnZmSggAREZHzgAIBERkRfhiTyioIEBEROV+ofKiIDJsfxnQOMwiwUZ8BERGRsaRAQESG5WQQEA8xCLAssIIcxi+M8MhERGRkGOyoeK4HIaNAgYCIDJkflNcEDDUIAIMppolyGQxKKRIRGW8sE0DuBHFQOtdDkVGgNQIiMiR+ENGZ9YmH2DLYIsLkU8S+P8IjExGR4bIswM8TF7KYOMa29ZXxQqS/qogMWimI6MyWGGIMgGXCchAQBCM7MBERGTaLGFNIExeVDnShUyAgIoNSDCJSwwkCohJxPoWJ4pEdmIiIDJsV+8SFDEY3aqrCqK8RyGazrF69moMHDwLw/PPPs2bNGlauXMm3vvWt0f54ERlBwwkCyouC88TZTgUBIiLjjDEGK8gRZzoUBFSRUX0isGXLFv74j/+Yffv2AVAsFvmjP/ojHnjgAaZOnco999zDxo0bWbFixWgOQ0RGQMEPSef8IQUBjgVWKUsUFhnyowQRkSqwdc8xHn/xAMdSRSY117DqmpksnjNpVD/TMhFh5jhRLjOqnyPjz6g+EXjooYf4yle+wuTJkwHYunUrs2bNYsaMGbiuy5o1a3j88cdHcwgiMgLywwgCXMvg+GmiQlZBgIhIH7buOcaD63fRmfOpq3HpzPk8uH4XW/ccG7XPtKIScfYEJlDhhmo0qk8Evva1r/V6ffToUVpbWyuvJ0+ezJEjR0ZzCCIyTHk/JDPEIMCzYiikCYIStfWJkR+ciMgF5PEXD+A4NknPASDpOZS6to/GUwHLzxIVcrpJU8XGdLFwHMdYllV5bYzp9XogJk5sGNYYWlsbh7X/+UjnfOEbrfNNZ0v4WExIeIPe1459TC5FVOcAdTTWedTVnP04dk09bv3Az6Pa/sajabjzKlTf36Pazhd0zmPhRNansdbt9d3IdSw6sv6IjsVEAWE2hbEN1NRVtk+4qP6s+9iJWtzG6vs3cKEb00Dg4osvpr29vfK6vb29kjY0UMePZ4fcvKi1tZH29urKf9M5X/hG43wtC7LFkGx+8E8CLAs84xPlUsRx96JgEyYo5c/+6NmuA/IDy1aslr/xWH0JGc68CtXz9zip2s4XdM5j5aKGBJ05v/JEAMrlmic0JEZsLGer3Dbhono6TuTOup+djKF4/hebrMaAti9j2ll4yZIl7N27l/379xNFET//+c+54YYbxnIIItIPy4JsISA7hHQg2wI3yhNmO3sFASIi0r9V18wkimJKQYQxhlIQEUUxq66ZOQJHN1h+hkiV26SHMQ3tkskk3/jGN/i93/s9SqUSK1asYNWqVWM5BBHpkyFTCMnlAwZ7f9ixwfEzBMU8g95ZREQq6wBGumqQZSJMIUWkTu5yijEJBDZs2FD5/8uWLeOnP/3pWHysiAyKIVsIyRYGXz/atWOsYoagpC6UIiLDsXjOpBFdGGyHRaJCWk8B5IzO/2QvERkBXU8ChhAEeFaEyacI1YBGRGQcMVDKEBYLqgokZ6VAQERI5wPyxXBQ+1gWeATlRcFRNEojExGRwbLiEFNIE6s3gPRDgYBIFTNAJu8POgiwbau8KDifwQyj2oyIiIwcywIrUCqQDJwCAZEqls75FEqDCwIcG5wgS1jIYfS4WURkfDAGU8oQKRVIBkGBgEgVMhhSOZ9iaXApPa5tsIppLQoWERlHLBNi8iniUVyrZeKIwbWAlfOBAgGRKhMbQyrrUwoGHgRYgKtFwSIiIyI4sJVg62PEmXbsxla8xbfhzVw86ONYFlh+gaiYGbVUoOjoHkqv/AyT76T+I3+G3XLxqHyOnBsKBESqSGwMnVkffzBBQM9Owco5FREZluDAVkqbHgDbhUQ9ca6z/Jp1gwsGRjkVKM6n8Lf8B9HbW8obbAdjVBjiQqNAQKRKRHE5HWgwQYBtgRPlCfNZrQcQERkBwdbHwHaxvGR5g5fEBOXtAw0ERjMVyMQR4a5N+NuehLBcdcieOJOaD/xnnAmXjPjnybmlQECkCsRxTGe2RBAO/Mu8a4NdShOUCuoULCIyQuJMOyTqe290E+Xt/aikAhUymHjkn9BGR3ZTeuWnmPTR8oZkPYnFt+FeehVOTX3fO8t5SYGAyAUuimM6siXCQQQBnhVDIU3gl0ZxZCIi1cdubCXOdcLJJwIAoY/d2NrnfhYGU0gTlYojngoU51Mc/81DFPe83PVhFu6cD5C4YiVWonZEP0vGFwUCIhewMDJ0ZkqEA6z1b1ngmhCTSxFFgysrKiIi/fMW30Zp0wOYAHAT5fSbOMRbfNtZ97FMgMmnRzwVyEQhwZubCLY91SMNaBaJq9biTJg2op8l45MCAZELVBDFdGZKRAMMAmzLwo0LRPkM8Sg8chYREbrWAawbUNUgywL8PHEhO+KpQNGRNym9/FNMV0qSXduI+55VuLOuwrJUKLRaKBAQuQD5YXlNQDzAIMCxDU6QU5MwEZEx4M1c3O/CYIsYU0gTF0e2b0uc78R/9VGig691fZCFO3cZk69bSyqn+b/aKBAQucD4QVcQMMAv9K5tsNUkTERk3LDioBwEjGAqkIlCgl3PldOAovJx7UmXkrxqLXbLVOxkHeRyI/Z5cn5QICByASkFEamsP+AgwOtqEhaoSZiIyDhgsII88QiXbI7efbNcDagrDciqacBbfDvurKVKA6pyCgRELhDFICKVLQ2omER3k7A0caQGMSIi55pFhClkylWBRkic68Tf8nOig693fYiNO3cZictvxUrUjNjnyPlLgYDIBSDvh2Ry/oCCADUJExEZX6yoRJxPY0boxkw5DeiXBNs2nJIG9GHslotH5DPkwqBAQOQ8ZlmQypYGHASoSZiIyHhSTgWK8tkR6w0QHt6J/8rPMNljAFg1jSSW3I4z80qlAclpFAiInLcMmUJIwlgDun54VgzFNEFpfDUJM8YQH9lNZBvcedfrQiUiVcEyUblB2Ag1boxzHfiv/pzonTe6PsDGnbecxOUfxPKUBiRnpkBA5LxUDgJyhYCLahJ9vnM8NwmLU+9SevXnxEd2A1A3aQ7ORZec41GJiIyukUwFMlFAsPNZgu3PdKcBtV5WrgbUrDQg6ZsCAZHzjAEy+YB8sf8v9eO1SZgp5fBfX0/41ouVx+HuzMXYLVPO8chEREaTwfKzRIX8iKQCldOAforJHgdOpgHdgTNziZ6uyoAoEBA5z6RzPoVS/0HAeGwSZuKIcPdm/G1Pgl8AwGqcROLK1STmvBdsTUkicmEqpwKliHx/2MeKcyfwX/k50aFtXQe3ceddS+LyWwaVBmSAIIpIuM6wxyTnJ111Rc4TBkMq61P0+3+UPB6bhMVH3qTw2n9g0kfLG7waEotuwZ27DMvRVCQiF65yKlAKEw3vyayJAoIdzxLseBq6Uj3tybNJLl2L3TyIJ6pWuflkvuumUqJBgUC10tVX5DwQm3IQUAr6DwLGW5MwK3ecxM4niNt3ndyCO/t9JK5YiVXTcE7HJiJyUnBgK8HWx4gz7diNreRu+E/QNG+YRx25VKDw0A78V3/WnQZU21ROA5qxeFBpQGFsyBcD/DDCGHBde1jjkvObAgGRcS42hs6sj99PEDDumoQFRby3nsXd/yKWKd8Fs1svI3HlGpwJ087x4EREugUHtlLa9EA5PTFRT5zr5Pjjf4/7gbvxZi4e0jFHKhUozp7Af/VnRIe2dx3Yxpt/Hd6iW7C85ICPExlDoRRS9MORqlQqFwAFAiLjWBQbOrMlgrDvx8m2BW5UICxkMPE5nuFNjPPOqyTe3IDl5wCIa5pxl9xOzczB3bkSERkLwdbHwHa7v1h7STABwdbHhhQIjEQqkAkDgp0by9WA4pNpQHNJXnUndtPkgR8HQ8EPKZQi4nN9fZBxR4GAyDgVx3FXEND3xG0ZgxtkCYq5c94kzO7YT2L749iZdwEwjkdw2XWEly6jqaleQYCIjEtxph0S9b22WW6SKNM+6GNZfmbYqUDhoe3lpmC5E+Vj1jaRuHI1zvT3DHgeNUApCCkUQ8JhBgCWY2N7CcZP7TkZKQoERMahKI7pyJYI+wkCXDuGQgdBITdGIzszq9CJt+tJ3HffqGwLpy0mmHcLpqbpHI5MRKR/dmMrca6z/CSgiwlL2I2tAz7GSKQCxdnj+K/8jOjwjq6BOeU0oIU3DyINyOCHMbliQBgNMwDwPOxkLcatJUY3ci5ECgRExpkwNnRmSv1O4J5dXhQc4Y3RyM4g9PH2bsLd9zxW16PrqPkSgrZVxC3Tz924REQGwVt8G6VND2ACwE1A6IMV4y2+bUD7D7dBmAkDgh3PEOzY2J0GNGUuyaWDSAOywA9jCsWQIIyG/oDYsrBdDztZR+wmMQoALmgKBETGkTAydGaKfT7GrXQKzp7sFHwOAgFjcA6/hrfrSexSBoA42UAw/4NEUxeXBykicp4orwNY16tq0MQb/hP5fqsGDa8qkDGG6ND2cjWgXAcAVl0ziSWrcaZfMeA0oNjE5AoRpWA4C4Et7EQSK1mHcRJ6AlAlFAiIjBNBFNOZKRH1EwR4plSuDHSOOgXbqXfwdjyO03kQAGM7hJcuJ7jsuvKdNBGR85A3c3GvhcH1rY3k2zNnff9wU4HizLFyGtC7O8sbbAdv/vV4i27GGuBcGhtDIQgpFiPiIUYAtm3j1NThNl2EZXxVFKoyCgRExgE/LC8M7quiQ7kyUJ4wnz03nYJLGRK7nsI9tKWyKZyyiGDBrZjalrEfj4jIOWJHJaIhVgUyoU+w/RmCnRshLqcSOVPmkbjqzgGvSTAGimF5IXBfN4/64jgudk0ddrIWauqwvSTGDL/rsZxfFAiInGN+0BUE9PHl3rUNdilDUCqMfWWgKMTd/wLeW89hReWLRNw4Bb9tFfFFl47xYEREzqVyKlA4hFSgchrQtnI1oHwnAFZdS7ka0CWXDzANyFAKY/LDWAjseC52sp7YqSGIwaCGYtVMgYDIOVQKIlJZv88gwLNjyKcJgtIYjozyOoCjO/B2PoFdKF+0jFeHP+9moulLwdLFQ0Sqx3BSgcppQD8lererw7rt4C24AW/hTQNLA+qxENgPB78g2bIsHDeBVVNHZCfwY1AtUAEFAiLnTDGISGVLZ72pZAGu1XNR8NixMkdI7PgFzom9ABjLJpz5foI5K8CrGdSxgijm9QN5JjYleO/s5tEYrojIqBpqg7ByGtDTBDuf7U4Dung+9vQriA68SvCLb2HXT8BdsAJv6oIzHiM0MYUhLgS2LAunawFwhEdkUAAgvSgQEDkHsm+9QrjlMWpyx4nrJxLO/yDR1CsqPy8vCvaJsqmxXRTs5/F2b8B9+2WsrhykaNI8/LaVmPpJgzpUMYh58c00m3amyRTLF8DvfqaRpKcnCSJyvhhaVSBjDNE7b+C/+vPeaUBL1xBbDsErj4DlgldLnM/gv/wwXPXhXsFAbModgYulwS8Etm0bJ5HEJOqILE8dheWsFAiIjCHLgszuV4g2Pwi2g0nUYRVTJF59CB+Ipl5RqQwU5lKYsZq84wj37Zfwdm/ECovlTfWT8BesJG7tr3xeb7lSxKadaV7YlaYYlIMYx4abr7iIhKtydCJyfjBhAPmOQacCxZn2rmpAJ9OAXLy2G/DabsRyExSe+TuwXCyvKyXIS2ACCHdurAQCeT+kUAoH/QXedmycrgZgIW45gFAZIOmDAgGRMWJZkC2GhFsfA9sBt6tLpJvEhCXcXU9ipl2BM8aVgez23SR2/gI7dwwA49YQzF1BOON95XEOUCof8uz2FC/tyRB0LWLzHIv3zWnkhoXNzGitG3BNbBE5v2zdc4zHXzzAsVSRSc01rLpmJovnDO4p4nhih0XCTJZ4EEGACX2CbRsIdv2yOw1o6gISV67Bbuz+XcS5DvBqe+/sesS5DkphNKSFwCcrAMVuksDYXd/9FQBI/xQIiIwJQ7YQks0H1OSOYxJ1vX/sJPDiEibIEhRzYzJ/W7ljJHY8gXNPilthAAAgAElEQVTsza4RWoQzriKYezOcOr4+tKcDnt3eySv7spxMn63xbJbPb2L5gibqkwMPJkTk/LN1zzEeXL8Lx7Gpq3HpzPk8uL58N/z8CwYMlDKExcLp8/TZ9jCG6J3Xu9KAUgBY9RNIXLkGZ9rC026A2PUTiPMZ8HosEg594mQL6dzAAw/LsrBdt9wB+GQFIOX/yyApEBAZdYZMISRXCACI6ydiFVPdTwQsCzdZg/FqCQq50R9OUMTbsxH3wK+wuq4a0UWX4retwjROGfBhDp0o8cy2FK+/navELY01Dte1NfH+uU3UaC2ASFV4/MUDOI5N0isH/UnPodS1/XwKBCwTYvIp4iAY8D5xup3SKz8lPlK+odKdBnQTlnvmru/ughX4Lz+MCQDXwwQlTBwTXLpsYOO0LRyvewGwrwXAMgwKBERGkQEy+YB8sbvqTzj/gyRefQgTlsCrxa2pxRSzlKZdPcqDiXEOvkLizQ1YQR6AuLaFYMFKoslt5dyl/g5hDPvaizz9Roo33y1Utk+od1mxsJmrZjfgOQoARKrJsVSRupreXycSrs2xVPEcjWhwLAssv0BUyGAGWJzBBCWC7RsIdj3XIw2ojcTSNdgNE/vc15u6ALN0Lf72jZhcB3FtC9Fly4n6WY+lBcAyGhQIiIwSA6RzPoVS79Kf0dQr8AFvzzN4hISRIbj0+n4vAsNhn9hHYsfj2Jkj5bE5HsHs6wlnLQOn/2nAGMPOQwWe2dbJ/mPd/QymNHusWNTC4pn1OLby/0Wq0aTmGjpzfuWJAJRr3k9qHlyp4XPBIsYU0kTFgQUtxhiig6/hv/oopnAyDegiEktX405b1P/+lCsBFRovJb561oA+03YcnGRdef0WXfn/WgAsI0SBgMgoSeVKFEtnbvxipr2H+OI55PKZUa0MZOU78Hatxz2yvbItnLaEYN4tmJrGfvePY8Nrb+d4ZluKdzu7c1dnTExy46Jm2i6pw9YCYJGqtuqamTy4fhclyk8C/DAmimJWXTPzXA+tT1YcYArpAacCxemjlF7+KfHR3eUNjovXdiPeghVnTQM6yQClIKRQDAkHOOeXOwB35f8bS9/9ZVQMOBBIpVI4jkNDQ8NojkfkvGcwpLI+Rf/MQYBjgRPmCAujWBko9PH2Poe773msrsfWUfN0goWriJsv6X/3yPDy3gwbt6c4ke1+ojH34hpuWtTCZZNrVAFIRIDuBcHnT9UggxXkiQdYnc0EJYJtT5XTgLrWVTnTFpK4cnW/aUBY4Acx+VJIMICOwOoALGOt30Dgrbfe4ktf+hLbt2/HsiyWLl3KX/7lXzJt2rSxGJ/IeaW/IMC1wS6lCYqFM/58+AMwOIe34u16CruUASBONhLMv7XcsKyfL++lIOZXezI8tyNFulA+Bwu4fEYdKxa2MH1icnTGLSLntcVzJo3pF//gwFaCrY8RZ9qxG1vxFt+GN3Nxv/tZxJjiwFKBjDGEB7bgb3kUU0iX96+/iMTSO3GntfW7f2RicoUQP4j6vZt/cgEwJ/P/tQBYxki/gcC9997Lxz72MT760Y9ijOFf//Vf+fKXv8z3v//9sRifyKgb6gXlVP0HATFWMU1QKp3x58Nldx7E2/E4Tuqd8nhsl/DS5QSXXQtuos99c6WIF3aleX5XmoJfvvrYFiy9tIEbFjYzubnv/UVEhmugc3FwYCulTQ+A7UKinjjXWX7Nuj7nbisOiAtpzABSgeLUEY5tepTSO11NwRwXr+0mvLYbsJy+04AG0xG4ZwOwyHLLC4CVAiRjqN9AoFAo8F/+y3+pvF63bh0PPfTQqA5KZKwM9YJyJn0FAZ4VYfIpwkGUpRsok0+R2Ppz3MNbK9vCiy8nmP9BTG1Ln/um8iHP7Ujxqz0Z/LB89XEdi/fNLjcBa6kfu2VEFrr+iVSrwczFwdbHwHaxvK4nlF4SE5S3n3neNlhBgTif6TcV6MxpQIu60oAu6ntfA8WwvA4g6mcdwBkbgGkRgJwD/V7lZ8+ezcsvv8xVV10FwK5du5g+ffqoD0xkLAz+gnK6vp4EWBa4JiDOpYij/vNDByUKcPe9QLj3Odyoq0dB48X4bauIL+q7GsWxTMCz21O8vDdTaQKW9CyWzWvi2gXNNNSMURMwy8KybexkLXjjv8KIiIyOwczFcaYdEvW9D+AmyttPMdBUIGMM0dtb8Lf8RyUNyGmahLtkNe7U/tKADH4Yk+unI7AagMl41G8gcOjQIdatW8eCBQtwXZdt27bR2trKmjVrAPjZz3426oMUGS2DuaCcSV9BgG1buFGecKQrAxmDc2Q73s4nsIvl8nUmUY8/72aiS64E6+x1/A93lJuAvfZ2rnLzqSFpc21bMx+Y20RNYmx6AFi2jeUlsBK1GCepJwEi57mte44Na7HwYOZiu7GVONcJXo81S6GP3dja630DrQoUp45QevkR4va3yhscD2/hTUz+wCo60310+rUgiGLyhRC/j4XAlmXhJJJYiVoiK6EGYDKu9BsIfPGLXxyLcYicEwO9oJxJbMpBQCk4/QLg2AYnyBEWciNaGchKv0tix+M4HfsBMJaNM/86stOXd3cqPoN97UWe2dbJzkPdi5Rb6l1uaGvm6tkNeO7oBwCWZWF7HlayFpwkxnIUAIhcALbuOcaD63fhODZ1NS6dOZ8H15dz6wcaDJxpLjbFDARFsj/4Yq81A97i2yhteqCrM28CQh/iEG/xbSf3HFBVIBMU8d94kvDN57vTgC65vJwGVD+hqyTomQOByBgKxZCiH541o+eMDcA06ck4c9ZAYM+ePcyZM4f6+voz/vzyyy8ftUGJjJX+LyhnFhtDZ9bHP0MQ4NoGu5gmKI1gV00/h/fmBtyDL3Oy7k/YOp9gwUqaps2AVP60XYwx7DpcbgK2r717gfLkJo8Vi5pZMqthTJqAOY6LnUxiNzRBMolBZUdFLiSPv3gAx7ErDcWSnkOpa/tAA4FT52JTzEC+E2qbz7JmYN0ZFxZbRJhChqiP+dcYQ3Tg1XIaULFcXc1qmETiqjtxL57f71jzfkihFJ61s2+5AVh5AXCIU14wPM7y/8MoZu/hNDv2d5LKlfj0bW1MmtR/bxm58Jw1EPjLv/xLvve97/Gxj32MqVOn9oqqC4UCL7zwwpgMUGQ09XVBOZsoNqSyJfzw9Ge7nh1DPkUQ9PE4eTDiCPfAr/D2bMQKy1/m4/pW/LYPEU+ac+ZdYsMbB/M8s62TQx3d45je1QRs4Rg0AbNtGzuRxPJqiO0EgYHY9kBBgMgF51iqSF1N768TCdfmWGrgN0NOnYsJilDbjF3X3PWG3msGTv6vJysqEefTmD7WY8Wd71J65RHi9r3lDY6Ht+hmvPnXY/XTZb0URuT7WAdw5gZg4ycAyOR9dh7oZMeBDnYfTPW6hr321nEWzp18Dkcn58pZ/9X/7//9v+ns7GTOnDk88MADGGOwLIsgCPjkJz85lmMUGVVnuqCcTRwbOrMlglOCgPKi4BCTTRFF4Vn2HgRjsI+9SWLHE9j54+VNbg3B3JsIZ7wX7NMX84aR4ZV9WTZu7+R4pnsMc6bUcOOiFuZMGd0mYJVGOMkaYtsjwi3fCVMurMgFbVJzDZ05v/JEAMAPYyY1D64AQM+5OPuDLw5i/ZbB8nNEhdxZ77wbv4j/xnrC3S+ckga0Bru+r+pqBj80Z20INp4bgBljOHw8z44DHezY38E77bleYYkFzJjSwBWzJ3LDEvWGqlZnDQS+8IUvsGnTJizLYtmyZZXtjuPwoQ99aEwGJzKexCbmRLZEGPa+0NiWhRsXiPIZ4nj4VwAr205i5xM4x8pt7A0W4YyrCebeCIm6095fCmKe25HiuZ0pUvnuC9Wi6XXcuKiFGaPZBMwCx3axkzUYN3lKHuz4uRMmIqNn1TUzeXD9LkqUnwT4YUwUxay6ZuaQjzngBcEmwhTSRP6Z+7N0pwE9iilmy/s0Tio3BesrDciCkh+QzgX40ekNwSzbwvWSmER9uf7/OFkAHIQxew6l2LG/g50HOknlej+dTng286a3sHDWBObPaKGh1sPzbFxnbApFyPhz1kDgH/7hH4ByQ7G/+Iu/GLMBiYxHURzTkSmd9kjYscAJc4SFgbWq71NQwNu9EfftX2F1HSuaOBt/wYcwjac/si34Ec/vSvPCmxlyxXIAYFuwZFYDKxY1M2UUm4CdXASHV0PUlfqjOtgi1enkOoC+qgYNtqrQQNZvlVOBUpjozN/A487D5WpAx/aVNzge3qJb8OZf12caUGRi8oUI31iUTnkK0LMBWHjyqec5nvZSOZ+dXXf997yTJjjl9zGhMUnbrAm0zWzhsqlN+tIvvfRbNUhBgFS7MDZ0pkuEpywMc22DXcoQFAtn2XOA4hj34G/wdj+NFZSPFddOIGhbSdS6oJx31EO6ELJpR5rNu9PdTcBsi6vnNHBDWzMTGvruejlUlm3hOF2pP06C0DhK/REZAcMtvTkeLJ4z6axjHkpVob7XbxksP0tUyJ/x5oPxC11pQJu704Cmv4fElXdg1509DejUjsDJ2u6bKeUGYLXEbk13A7BzFAHExnCoPcf2Ax3s3N/BoeO9i0VYFsya0kjbzAm0zZpAa8vopoXK+W3s2ob2sG7dOk6cOIHrlj/+vvvuY8mSJediKCJ9CqKYzkzptC6RnhVDPk0QnPlxdE97D6X59Y6jpHM+TfUJrm6bzGXTmgCwj+8lseNx7OxRAIyTIJhzA+Gsa8odNns4kS03AfvNW9lKUJJ0LVZcMZGrL62lJbsXZ9uj2IVO4toWosuWE7XOG94vwOq6ACZqMW6iO/UnhnN+G0zkAjASpTfHQm7Py+Sf/XGvL+XAgAotDKWqUHBga69j21PbCF57nODVR7Brm7GmL8GbuqDXPsbEhPtfwd/yGJROpgG1krzqTpwpfc+FpTAiXwhOu+HjeF55AbCdJMAakQZgzuHXcXc9iZ07Tlw/kXD+B4mmXtH3+IKIPe90p/xkCr17I9QknF4pP6cu3hY5mzH/l2KMYd++fTz99NOVQEBkPPKDiM6c36tEnGWBS4jJp4jC/hcF7z2UZsPLB7Edi0TCIVsK2PDyQT7kNzC74wXcozuA8lfq6JIr8efdAsmGXsd4t9PnmW2dbD3Q3QSsPmlz7YJmPjCvkYtbG8nu3oK3/TGMbWO8Giw/g7f9MYAhBQO2Y+N4SUjUElmeUn9ERslIlN4cbcGBrRzf/CCxsSulPIsb/wGMwUrWn6W8Z7fBVhUKDmwtH8t2IVFPlDpC3L4XZ+J0YmMRtL8NR/fCVR+uBANR5yH8lx8hPlbusYKbKKcBzbu2zzSgID69IVi5AVgCt6EFQ4gfWyN238M5/DqJVx/C2A4mUYdVTJF49SF8OC0Y6MgU2bG/XOXnrUPp025ITWquYeGsCSyY2cKsixtxbKX8yOCN+Tfxt94qd+773d/9XTo7O7nrrrtUhUjGFcuCXDEkk/d7fe+1LPBMiSiXHvCi4F/vOIrtWHhO+SJfZ8cstl5nzs5dOF05NVHLDPy2VZjm3lUbDhwr8sy2FNvf6X7s21zncH1bM++b00iiRxMwZ+/zGNsGp+tRtpPA4OPsfX7AgcCpqT+Vx9/67i8yakai9OZoC7Y+huW4WFZX2qGXxGTL1cyshou6t/Uo79nTYKsKBVsfA9vF6loobNk2dkMLUee7UNuM5SUwAYQ7N+JOnIn/+nrCPS9UblQ4MxaTWHJHd+nRM4hMTKEU9WoIdloDMLeGKM4N+vfVF3fXkxjb6W4A6SYxYQl315MEUy7n7aPZSpWfIx29005ty+LSqeWUn4WzJjBxkFWZRM5kzAOBdDrNsmXL+JM/+ROCIOBTn/oUl112Gddee+2A9p84saH/N/WhtbX6GmbonAcu7uoR4BqLCcmeufYG288SFgJoHPjkmy4G1CUcLGCu2cvV5lXqrK4LfF0zzuLbcWcsoaYrf9MYw/aDOX7xSjtvHuoOAKa0JFh55STeN6/5jAu9XD8FXm3v9QR2EvwUtc2nVxrqyXZs7GQteDUY2xu1m/7N9Qka6kZuAXM1/rseLcOdV6H6/h4jdb5TWxvoSBeo6fElueiHTG1tGDe/0wO541g1Dbg95hffRICF63aP2zi1mNzx08b9n1e28b0fbyWK4/ITjyACU95+pnM8kDuOW9OAZTvYtY0Ex3OE6eMQx3gNEwCIrQRx6gjFX/x/xIVyUzB3wsW0XPtb1ExfcNoxTwrCiEIxJAgiEjUOiZoElm3jJGvAq8M4bq858KKLztxUdahKxROQqK/k7Bcih+2lVt441sz2B18me0rKT0Otx+WzJ7J43iQWXTqR2lFI+fEci0ld5zle/s3J2BnzQGDp0qUsXbq08vq3fuu32Lhx44ADgePHs2ft5tef1tZG2tszQ9r3fKVzHjgDpHM+hVLvlB/XBruUHtKi4KYaj4bSYa63X2UyJwAIjMMbziLmL18DjgfpArExbOtqAvbOie5yb9MmJLjp8hYWXVKHbVvksqffJWxuriNMNGP5me4nAgCRj0k0kz9D1+Hu2te1xCSJcmCMD4xQI7QziIOQQq7/NRUDUS3/rsfqojyceRWq5+9x0kie7y1Lp/Hg+l2EkelVevOWpdPGze/U1E+EUprI6nFzxCoHAGGPlBoTlLDrJ/Yad3BgK61bH+OLNe9yJKhnY/YK0s3zWXXNTGZNqjvjOZr6icR+Hqe2iSCfJsqlII7AcQmjGBP6kOuAOCw/sHQTJBZ9EHfecgqOS+HE6XfxQxNTLEWUgqjyb91xuxqAuTVEeQtjSkCJnQc6+OWWQ3TmA1rqPK5fMo0FMyeMyO8yWXMRxzIB20pT2ZafyJ5CMzEnb+6Ug4DJE2pZOGsCbTMnMGNyA3ZXB/hCvkQhPzJzaE+eZ2PHMZMmVcd/xwp2ehvzQODXv/41QRBUehMYY7RWQM45Q7nr4ulBQIxVTBOUBj/5WsU0a+t+Q0uwo7Jtl5nJpvA9vH/xfHA8otjw6r4sG7enaE933wm6bHINNy5qZt7FtQOq9hBdtry8RgAfbA/iACuOCS9b3ut95YW/SYyXJLISPRb+isi5MJDSm+eat/g2ws0PYkzcXcozUQvGYILSWct79sz1T9Q3MSP0+WT8G5LXLsKbefbzSyxdTfDyI4QdRzCWVX7aGabBSWJyHeB339xwZi4hsfj2s6YBnUwBKvnlSkCWZVUWAEdODUFMrwXAOw908NNNe3Ecm/qkQ7oQ8NNNe7kThhwMRHHM/nez5RKfB5fRnjtlQTIRc1oTzJ83g4WzWpgwiKfOIsM15t/AM5kM3/nOd/jhD39IEAT85Cc/4c///M/HehgiPRgy+YB8sTsIsADXKi8KDoNBdgqOAtx9z+Pt3URtVP5yf8y6iGf8JeTqpvH+xZO5ZHIDz+9K8cvtKTp7NAFbeEkdKxY1M2vS4C4EJ9cBOHufr1QNCruqBtmOje0lsbwaYtX8Fxl3+iq9OR54MxfT3FLLsZ5Vg5Z9HOi7atCpuf59rSM4yTIBbsvFRHOvJd65EZPrwGq4CGvCNOLDOyvf2q26FpLv/xjO5DlnPE5kDEU/pOiXnwBYloWbSGIl64isBP5ZGoD9csshHMcm4TpYlkXCdfC7tg8mEMgXQ3Yd7GTH/g52vd1J0e/dj6DR8VmUPMLCljyzl1yFO+M9Az62yEga80DgpptuYsuWLXz4wx8mjmM+8YlP9EoVEhlbhkwh7B0EWOAZnyiXIj5Lo5ozH8rgHNmGt3M9djFV3pSox59/C3XTruR2y6LgR2x+M8ODm98mV4orn7d4Zj03Lmrh4pah59BHrfMqAYFt29ieh+eVF/5GqvkvIsNQP+cq8k2nFx442xd6gDjTDolTcuzdRHn7KSwL8PPEhSwmjvGmLsCbuoDoxMFyNaD27d1v9GqgfgJxFOKccpzYGIpBSKHUIwBI1sDJBcD9FEDoyJSoSfb+auQ5Nh2Zvp8KG2No7yxWFvruP5I57V7L1Il1XY29JnBJaz22avvLOHBOcnI+//nP8/nPf/5cfLRID+UgINdjcZZjgRPlCfOD6xRspQ+T2PE4TseB8pEth3DWNQRzbgA3SaYQsWlnis2705SCrvxUG957WSM3LGxmYuPwm4BZloXtlmv+x06SyHJU819Ezhm7sZU41wknnwgAhD52Y2uv91lEmEKGuNi9BsqU8viv/4Jwz6+ozF9OolxeOVGDKWTxX364UkI0MoZSUG4GFvUKAOqJ7K7+JwOYBic0JkkXAhI9FkEHUcyExuRp7w2jmH2HM5Uv/ydOCRZcx2LuJc0smFnu6tvccPoxRM41JedLVTJA9pQgYEidgktZEm9uwHnnFU7e2wknLyCYvxJTfxEd2YBndxzj129lCaPyVSjhWlwzt4nrFjTRVDe8/wQty8JxHLz6RoyTIMYtP/JW6o+IjJJTm32drZGYt/g2SpseIM4Xy3n9UQi2jT33A5X3WFGJOJ/GROXUGWNiwr2/xn/tF1AqL/q1mqaAbWPCEMvremrao4RoMHF29xMA28Krqe0uARobGMRC+OuXTOOnm/biA47t4IcRURRz/ZJyeedsIWDX2+WUnzcPpsoVkHpoqk+wYEa5sdfsS5p6BRQi45ECAalKp1YH8uyoq1PwAKvmxCHu/hfx9jyLFZX3iRta8dtWEU+czZGUz8YX2tmyP1u5BtUlbJYvaGLZvCbqksO7OJQbftVgvBpobCYI8/reLyKj7tRmX301EvNmLubQzqU07X0KTExsOdhuHdau5winzMWbPIuokKvctKikAZ14u3wAN0niiltx5y4j/9g3y4uGe3JcwswJioUQ27bxamowiTpCvHIq5BAmxQUzJ3An5TUBqXxAU63LFXMmcuhYng0vv8PBo9nTHixMb62vpPxMnVg3oAIPIuOFAgGpOp3ZUmXhlmWBawLibIo4ivrZk/I6gPZdeDufwM6Xy4Ear5Zg7k2E09/L2x0Bz/zyCNsOdle1aKotNwF7/9zeTcAGq5L6kyyn/pxs+GWwFASIyJgYzALgrXuOwVuvE1uNhF09SkzJ4uKmFsLtT2E33AWAKeXwX3uC8K3uNCBn1lISi2/Drm0CwK6fQJzPlJ8EGEMcG0zkYzVdjFfXgHFrCehqgjjMVMjZ08oViPYdzbJlVzs/27S/188Trs3c6c20zSx39W0cwf4oImNNgYBUlZ5BgG1buFGeMJ/BDODRsZVtJ7HjFzjH9wBgLItwxvvw56xgzwmLZ545wp4j3TmuExtdVixsYemlDbjO0O8QVbpderXElnfWahciIkM10HSfwSwAfvzFA3zcylCkHDQ4iSReXQPpTJaWfDteHBPufamcBtRVEtRqvpjkVXfitM7udSxnwQri3zxM5McYO4Htubj1TfjzVxK49cO+GZLO+ezsSvnZ/U6KIOw9yU5oTFa++M+e1nTGxo4i5yMFAjKubd1z7LT62gu9QwRbH6N4oqtBjd/doAbgqR9t5XB79rR63J257iDAscHxM4TFfJ+Lgp32N3H2/BInewQiv7IOIJo4h+KClWxL1fPMM50cPN69SGxqS4IbL2/miun1lUYwg1W+++9gJ+qI3e67/1rzKyIjoefcurTuXT5kPUcimTxjus/WPccq8+rvJGqYHBWoqevuWF4qFDhaquH79z/fa949liqSdpuoM3msuhZc1yPIHMcOC5Qa6jj+479mYnwcgNhJUPOelbhzl2HZPVMnDX4Yk2u8FLPwdhKHX8WNAyKvnsKs5YStbUOaF2NjOLJjKzu37WJbupGDQUuvn1sWzL6kmbnTmmibOYHJEwbW00XkfKNAQMatrXuO8eD6XTiOTV2NS2fO54X1TzK97lcY2+VYwabGynKH8zyPZ23+8dEcWBZN9V7l/eX9LS5pbaBYKgcBrm26moSd3qW3J+foTrzXH8EKilhdVxpj2ZQuvZ7fuO/lmWdTHE13d7C8tDXJjYtamD916BeM7tz/WmLL1d1/ERlxp86tV5R+TaeJaPIcai2rV7rP9qDc+TiZcKircXkuWMwduadxix3YJia2bEqRy3PWTb3mXYBJzTW8WFjKHQ1vEIYBpVQKlxL1Vgkvm2Vi1zS5k0t5PngPH6xdRFslCDD4oaFQCgmiCNv1sC+7mtKcaxlMVeee/CBizzspdhzoZMfedjIlA8yo/LzGCph3cS1tC2Yxf2YLM6a1cOIMXYpFLiQKBGTcevzFAziOTdIrXxiSnsNys5VMyRBaYFk2oWWDCVhubeE3/mSg3J49CGOSnoNb6/LMK4f46Ipy0xnPjrqahAVn/VwA+9geElv+HSsuv89gESYa2VyczYYtUzgRHqu8d8G0Wm5c1MKlrUPrBtmd+1/Xlftv6e6/iIyaU+fWCWTIW0lSOZ/akzX0u9J9Tr63JuEShDGeY0NkiGKDbUMUG7AMnmNjWRZJz6HU9Rmrl81iw698nisUucLfwgSyJEyAYxmw4DgT2OxczRF7MkEQ8csth2ib0VIJAMI4xnYTuLVNfTYB60tnttRV3rOTtw6lKtXbTprk5bm87jiL6o4z2zuKXdtEaf7Vw/8li5wnFAjIuHUsVaSupvc/0QlkyMUJIK6k3YS4NJt0+YLU49tzfY2LbVvsPZQa8KJgK3cCb+cTuO07oetooVvPpqCNJ4/OJROXc10tC94zo54Vi5qZNmFotaHLd/+V+y8iY+vUuTVlNVFnchBGFI91YJsIY9nE9ZM4lu793vfFr1CihoxxmX5RA+3tWRJWyPviV9jvzAIg6dnEccSiix2sy1t44zcurgmptXywoGQ8XnYWs8Oej7HKufb1tS4GSOWCcgDgJbFrB9cDACCODQfbs+w40MnOAx0cPp7v9XPbglkXN/Ge/GYWNaaZnOzxZNh4WLnjQ/ulipynFAjIuDWpuYbOnF+5awXQQSNNdoHQ8rqaxoBLSMpqwrEt6Mrir691cWybd7Nvb2YAACAASURBVE/kmDaxDi8qEBb6WBQclvD2PIu7fzNWVwv70KllU2ke/9FxOUVTbvjlEHN14//P3p1HyVVdh7//nnOHmnuQ1JrVQhJCEhISszCTsA1G2GBix/azzYJ4ipOX5MXLy05sx2vZiePYiR3HTlgJL/n5l8WLIX4PEjCeEAiIBwSWkEEjGhAIzUOP1d013nvPeX/c6klSSy2hsWt/Vga6qqvurWq49+xz9tn7EDcuu4YJp9AELO7466O8BMZJEFpdK3N30m8lhBCn5Ir0QRZV1tJML3nVwG6mscRuIKUqWDRWxU2+qn155rv72BHOwK9dhxttD0USA5tlXUcTmHgyBsBzNTnf0OhUiPLtXHTgGaZX1vZfmnEvuorHDs2ireTiOZqEF682FMsBvquxro8+yR4A5WrIjr15tu7u4tU3uwb2gvVLJRzmzWhm/swm5k5vIpVwSfzyaVQ5DwyZyImqmMz4t/4FC3EBkUBAnLeWL23l4ZXbqRCXa6uGhhfMYj6YXoPV0F4weES4GF6wS0j6DiiF5yoUcKizQFPa4e0LsgSFnmMfxBqcfevwX3sOVY1zQcNEI7/x38aP9kwgMPHNzlcRb8vs4pbs62QWvZ3oJIKAYak/2peOv0KIcybYvYHb1fN024iiSpC2BRayhYpxSegAjSXCoUiaSCmuta+wzUyjXA3RStFFjowt0JDJAdCY8enp6aVL5cgkHLJOhVK+m2UXdVF88iEI4hl33TQF/8q7cSZcxDV7ulj50m4ySRdjLH2lAOsmWLxkNqHfOKoeAJ095YGUn50H+leEB7mOwnM1jla876bZLLho3LDnw0tuxV/3CDasxB2LoyrKRASX3Hoav20hzn8SCIjzVn+1n6FVg9629FZy3qUEG56kxRziUJCtVQ26mE+8sxXP0fxiwwHe3Jfn4slJrpqZZGrTsQftums3/tYV6J4DABjtsd67gh8evJiKjf/TSLmWG3O7WZZ4lVQmQzTr7UQtc0d1/korHC+BSsSzW1VD3XX8VSoOhKTWhhDnh2DDk/iJBA2eQ75QpRq5JLWiUffQoZrj/2j7WUuD7eWe2y7h2Vf2c6Ctj03pq+MKQzrCWoekjnCyCbambiRZ6GFBaROXq/XonbV9WI6Pv/gO3DlLUVpjgdlTGli2ZCqvvN5F0TjodJrL501ixuSmOAg4hshYdh/qZdvuLrbu7uZw1/AO8I5W+K7GEPcYMCbex+C5mlUbDxwVCERTFlEF3O3PoAsdmMx4gktuJZqy6DR+20Kc/yQQEOe1xXMmDAQEgybgtS4mDYwDFtQeNdaS76vyqfcuorezk6jQgzFHJ92rUh5v+0rcg5sHHnvNmctD7UvotnFJvFzK4cZ5jSy9OEfCmw3cwmh6Diul0NpBJ5JYN0mk3JPKb71Q9Q/4Ha3wHI3ralxHoZVC6/j/K1VXMZAQ56X+PgAppQY2BltrCTp6cAkJiSdOErZKhj60gglb/jfXvev95LuhsuZlbHceWzagFDqZI9kwnmXqFW5O9GFLB4YcTUFUJXhjNWTHEU2YQ6kSYrVD60XTmD57NpFVI14eS5WQ7Xu62ba7m217uod1g4d4H9i81ibmtzZz8fRGvvP/rqNSieLrsFJEkaWvGBBFIwQXUxadkYH/tt1d/Hr9frp6KzTnEty0ZCrzWptP+3GEOB0kEBDntVE3ubGGrt4qJjKoai9hX/7o/gBhFe/NVbg7X0CZ+IZyUE3kP7uvYlfUAsC4rMuyBY1cMSsbV8cYDQWOdtF+AusmMNoj6F/ZHmMj34EBv6PwdG3Ar+PBvuvo4w72x9hXIcQ5Ndpr45F0rgVT6AZvSG58WCXKtKD7CriAxpCjFyyYZDOm0E37T/6ZqFqBsBpfCLSDk2nAogm7DtUagtX+I9dOnNuv4wuC7W2n/PJPMJe9l93OTH61uY297btpzPjDBsnWWtrzgyk/uw72HLVFYPK4NPNnNjO/tYnpE7PoISsY/QP+/vYtWkFkGTEQOBO27e7ix6t2xpWWEi49pYAfr9rJe0GCAXFekkBAnLeC3RvipjbaPWaTG4jvR+VqRE+hisLgVHoIlR4eBFiLc3AT3vZn0OV4r0AfaX7UdwVrq7OxKCY3eiy7tInLWjO1Tccn1t/xFz9FpIYM/i/wyj+KWjqPAsfRcZ6to3C1xtG1Dc8jDPhlsC/EmTeaa+NIvMV3UFn1A2wAuH48sDchjTfdS9eBPOGmp5gUHsAqB5tqJJmN9wJEfW0QxRMoykvipBuJir3YavHog5h4s661DspNoJNpdEMLvTtW8/BBjdYa33PoKQU88fwbXLtgEoVyyNZd3XT0DO/v4jqKOVMbmTcznvlvyo5cpc1xFETx6rCiFpao2uNnya/X78dxNL4bb672XYdq7fHzNRCQ5M36JoGAOG8FG54E7aL6Z66GNLnxWhdjgd5iQKkS4NgQW+ohCAJIDna81Pn9eFtX4HTvASC0Ds+VL2VlaRFVPGZOSLDs0ibmTx1dEzClFY7joxJJjOMTWueCrfqjVHwD0Jp4kF9L53F0vMHO0SOn88iAX4hz50TXxmG/e4yVg8QN9w57TE+ZT7DhSab0tqEntRB19aDSzQPXRFstDQQBOt2AchOE+TawQ2Y93ASEcYd1CygvgZPMoBwfE1QIC32E3d1ofQOO1pQqIeVqRKUa8fRLe4edc0PaY15rM/NnNjNnasNAxaITmdScoi1fphxERKHBcTVJz6Gl8dR6vJyKrt4KycTwoZXnaLp6KyO84vTqv40pFLX/QWnQKp7A0XowXVNrhSa+r8k1vX5JICDOW/25rMPUmtxExtJbrFINIlxTJir2Dt8PUOnDf+1ZnH3rBuY61lVbeaJ4FZ0mx9zJKW5Z2MisluSJA4D+1J8j8/7P86o/AzcEpWo3gDiNx3EUjjM42D9e/r7cHIQ4/xzv2jjUkSsHpe4OOp/6Pj8Nr6en8TaWL21lgbf/qNUFqiWsdsHxsH2dWBOAdnEyTdhKgajYM3wOWTtYawCF8hO4qRxYiMp92GonJt3CgZLPquIi8mGVIDx62XTahMxAys/UCZkRr8vHy7+/aclUfrxqJ42+j+dogsgQRYablkx9C9/2yWnOJegpBQMrAgBBZGjOnXy/meMN6p3+gbyOB/JaxYN6atf7eL9a/Nr+95HruTgWCQTEeWukXFYyE+jsKaMwuNVewkp5MBXIhERbfkHq1WdRUby9d1/YzGPFa3g9nMzCGWk+emkT08ad+KI8UPO/VvXnfMv775/RV4qBTbpOrVye4ygUqpbKowbyaCV/X4gL30jXRp1rGfgx2L2B8nP/NwQVcD2qTob2ksJXmpvcjTxcuIiHV27nc+OfJa1dysYh31UijAw55ZMp5tHWYLHoRAbl+Zi+DhiadlNj/AYcU8HJjYv7o/R1EJZLvBZM5tXgMjbnW+mM+ldq4yDAJeJi7xDTvG6KqSnc9f7rTvi5j8y/b8uXeXjldhKew6TmFDctmcp7b5h1Tjfq9gcjVTgqGFFQG9APDuy1o3CVPsagXsWDfgYfA05pUC/Xd3E8EgiI89axcllNFFCd+060DbGlPEEQsHN/D2u3HGJ86U1u9jZg6EMBfSbBz0uXs7oyh8unaD53UciUwyvQG7sxqSaiWdcfsxSo47joRCqe/efcpv4MVuMBz3EGZvP1kFmfluY0nrWyUVeIOjFSnr+3+A6gFgT84vu1DbxAYHCCMp7JUrQ+GdVNe1+JbMoj6G6jnMnR15tnnCrgqNpsvQHruOhUDlspYCtxn5X+a4kFrHLQzdPwvAQ2KNBRVrxanczm4kK2F5up2uFDjEzSJRP1cFviFVq9LgwKz4aknR08/SPLSz0TiSKL46iBgf3QQfzQ/PtSJaBQDsBCNYwGN+XeMItP3bVwVN9j/+rCoa7SUccFeHHFNto6C8cMKNTA/xkc2AMsnDWOVMJhzZbD9BQDxjckuOGyKVwyowkYnKUfOlsvg3pxLkkgIM5bca5rnMsa9bQRpccRzb8d3TKLqK8TYww79/ew7uXNvN1ZR6t3GIDIKn5dmc+z5YUsybTxpXG/ZJzphjfA+kmsl0RVe/G2PBn/fsvcI5p+JQjoz5k8s1fdoQN9Vzs4bn9uvhoY7J+oGo9Tq24kNwgh6sPQa+OxqgZV1jwCtYE7EM/qW2hQRSLr0GFyhJGlUA7ocLO09HXTrIoMLeSpEimU42IKXQNpQEOvMSW3gReSt5CatoSuYsS2HfvZ0z085UdhmdHsMP/iacxrbWLyuDTm6e8Q9HZSMW5cfcxLUSyXWGJ/y68qt8UvjKAtXz6q2s7Q/Pu+chjPqGuFMXbUm3L7B/Db93SzYs1urAWtwdHxdbYcRjyzdi9aQTbjMW1iFmPhpa2HGd+Y5JLp8YAeRW0yJn7D/mu5VtDSlOLaBZNH9beU67Y41yQQEOc1Pf0ywgnzKVVCHGXQ5V6CQj4en1eLsPGnfMTdgVbx1fTV6jR+VrqcWV4bn5+2hqwTN7VRfZX4Fuc0xG/s+FiquHvWoqZfBn4aozyqljMy9h+4SWjwagN+z9W4Kp7hP9GskNwshBBDea2LR6wQZPOHahcdF2qlki3gKUPCNbzCVUyZkCGKDC+pK3gfKwaCAOV48YRIuQ9bLcVpQLVFUQUEbprX1EWsLUxjXUczZs+uYcdO6JD5iTYWNBaYu3gJqYsuG/Z8Nspjm3IDOS7t3SUi5dJI78BA2lhLOYho9P1hA/uh+fdRaAbKhPqeU+sk7FKuRvHeJw1Of8qNU9sPpdXALPzmNzppyiXo6q3gORqlFMYqqlVDGBmMsWQzPqVKiDFQqob8/MVdLPro+OP+XeRaLS40EgiI81JkLMVKGDeQseDZKqbQSxCFYCIK235DbvevWUgFFByKGvhx8WravCl8quGnWKvIOqnBNzQRqnarU46L9lNoLwnVItVk02lt+qVrA363VnrTdYdvzJVNuUKIk3WsvbPGxrX3jbEYGw+go/jBeN+UdkC7WBOhsFjg0b5reTUYj7XxikEhOYn3pH1cKuhUBsIAU8wDg5fEbpNkczSLLVEr28oTCGz/Rtj4N8blEsyb2cyC1mYumpLDPU4PFpMZjyrn4ypDxDX+fR3RGWaH1f9XFrJJj0oQ4boKrTTLr5vJyrV78DwHz9WEUdyuvSGTwHcdykFIS6NHS1PqhLn0bxzoIZ106eguD6RZxt9p7btDEYSGsNaDwHc17fnysd9MiAuYBALivGJsHAAUyyHGWFxt0UEBu3cDzuvP095VJmX6aNF9ABSNx8rKYrbpuTTkFBOUoWoTZNTw9vM4HiqRwm0YD0pjqhWC3jasn4uDgFOkFDhK4bo6vjnpuOb+SL0IZMAvxNjXPwg1htrwm4FUw2EtThhyTbAWAxgTD0T7B/m2/z1qhcostYGqjQOB+KnB93UObMJXGmWqEMXdfw0aMByKmthcnTZwfEfDNQ2HSXlJtHWwpd6B58rGZW11Fi9W57E3HDf882GY6ubpclsYl/X5P9932ajKLwOEl9yKv+4RbFgBxyfpRGhrWONcTnNDEt/VoOLvxvcdxjUkaGmMJ3XG5SaS9BxWrN5FZ0+ZciUim/ZwdEBXWCGKDHdc2zrk+x7ZhMYk3YUqrquJIoMi/j5dRx/znlANDRPOYhlSIc4WCQTEecFYS6kaUSwFRCbe+OqpEFvME+3bwu5XXsQNi8x2D4MGYxXrzMUcnHQju/b3kXENirhCw8t2HsuT6yGqovwM2vPRyRS2Wibq68bW2t4rExEsuvWE5zY097O/3r5Tq/TgOHFuqRBi7Bsc4NuBmWNr45+j2my8iSyhsRhjBrviDmywPdZy4OnLRnQObMJf9wh4aYiC2ptbFJqCTfLT0pUDee3WwhXZNt6bXo/u68XWUojK1uXJ4hJ+Wbk0vlbWpFTARe5h5vkHuMQ7yC+4lmKkeefVM04YBPQ3KdQa3JlL0EkXtflpbF87qabxrOidzz47g96eMmEUf7e5lEe1GvHupZcMG9Qvmj2eRbPj9JwNr7ezYvVu2vNlJjQmWb60lcVzJozqu1q+tJWHV24n5Tv0lky8koIllUgMrKqUqyFaKaphXPln+dLWk/lzCHFBkEBAnDMWCAJDOYgby/TPwjganLBEUOhl8xvtmM0vcZW3C9eNN6LtDsdT8hpZ1Bww/6pWZk7pYe3Ww/QUqjRkfBZffQMqmo1zaBO6lCd0U5Rn3QSAu/0ZdKEDkxlPcMmtRFMWDTsnpeLUHs/RuJ7GHVJv39GKTW908NSa3RzqKjG+4eRuPEKI88OR49aB6sO1NJv+mfr+n/sH+JGNB/hVFF35wbLF58tKn7v9Gax2wE/Hq6CVHogClJvg0KwP0rEthc6X0FqzcBJ8IFqD09MBxLPhL1Qu4WelKyjaOG1nYjrikounszDTzfyetQQdBzgcpPmf6jV0ZOfw3mOU5hzo4l7oQGUnoC9bjte6pNassJYamb0S5lwJQA64/PV2Dq7eTW+hiiKu3jN5XPqE19fFcyac8vW3/3UrVu8mai8QRRa3VjWof8D/7Cv7OdDWd9JBhhAXEgkExFkXRoZyEFEuh4TG4hyIbxxOtQ/VPI3KpMt4ob2Bnm0vcYv+LTk/zsvsMSl6vfFMzYYoVUSVy4TArKkNzJoabwJ2XJemiePpLsygOHPpUTfo/oF//yy/58SDfs/VtY66tf4Bx9i8u35HOw+v3I7jaFIJl+5ClYdXbgeQG4QQFwiloLuvQmRqqTe1Wf3+ImHDU3mOrX8V4HzhHNiEt/FH6J79tQc8rDfYYV1FATNasvxfixay71A34eaVzO1aRULFxRTeDCfwaGEp+6NmLk52sTCxnQXeXhrf9kGiKTOBmaTGXU+ps8A44H1Djt2fHul7Ds7hzZj1j6K0C8kslHuwq/8T5Tro1sUjfqdvZUD/VpzouO+8bhZtbb0jPi/EWCCBgDijVK0CRBBYKmFEJQiJoiPyWTc+hpNuoJIax/NvanZufIPbU+uZ7nYBEFiHXqeBxlyCjIqgltpjUk21YwyW/oycJMbLEJrCsHPQKq7SM5jHP/KAH4792IrVu3EcTaLW7j7hOVRqj0sgIMSFY+gm0Audc2AT/tofoPp7BkC8ChDlQTmUrM+W6jS2/GIHpfB17vRWM8XtBhX3WllRWkyZBO8at5v5ybX4pY640pDV2HWPUIVhK6dxd1tF0nPwvFpBhFp6ZHHz0yjtovobnXkJbADBhidHrHAkhDi3JBAQp11k4nzLSmCoBiF23yacrSvRhQ6czHjskJScxO4XKScn8ItD49mQz/GuxEbekRssR9c7YRH+5Itpev2XtTb3HpgAZQzRnBtxE0mUnyJSPlULutZNN51w49QepeMycs6xB/0ns6Tfni+TTg7/T0YqSQghziV3+zMQlmv5Tg7YiLYox+ZgOpurM3g9nEhWlfmd9FquSr0JxHusdqYXoUtdfKDlNRw/QVTswRaGFFmwBsp5vI0/IpqyCK0gnXRJei6+d+x9Uaa3DfzMESfox48LIc5LEgiIU6ZUXBXDGENgLNVqRDWMiMwRM/7rHsFqB+unUeU8/rpHCB2HnswMVr7ZyEs9E7k5uYXP5p7HVxEAAR7R0t/DaZpGBOCncXa+gC7loXESdu4y1NSFGO2DgqTrkHAdXFcxaXyWtmMs27/VPN7+KhP9KwIglSSEEOeWLnRgIsvOaCKbq9PZXJnCYdMYP4dhWXILy1PrSap4M3A1NQHtesxR7eiMhylA2H2Yo7csK5Q1qN6DNOa3k9Vpqs8/TrW3jfCIBmYD55JrwRS6oX9FACCsonMtZ/AbEEK8FRIIiBNSKq7r31/NIYoMYWgJTTQkz/bYrx3YvOYmKFdCioFDnzOOXz2znXWFbq7wQv6s8ac06XhZ2ygH/BQqNR7TNFjmLmqZC1MWQDKN8pIkkgk8J67eM1Jt/iMFuzeM2IlzNPqrTFSIVwKkkoQQ4lwplgO278mzPb+UbX0NlKw/7Pkl/i5+N72GRh3P8lsUNpHFxaBTGZSfIuzajyp1H/P944a5GpQi+u1/0WUCjNXgZzCFbiqrfgDcO+wa6i2+g8qqH2ADwPUhrIIJ8RbfcWa+BCHEWyaBgAAGy8lFxhBFEFpDFNUG/cZgotqA/yTfVxc6sH6aSmDZWR3Hi4VWNhfGM8Pp4E+zK5jlxUvGFrB+BusmUNYSzb6hdl4K1/fwUzl0MoXnOriOZmjRj9EGAZVVPwDtHvdGdjxDq0ycSrk6IYQ4VdZa2rrLbN3VxdbdXew61Fu79g1ef6b7PVyd3M21zmYyqhK/Doh0gqJxCEyaZCqLE4AX5MHPoAodtbQiBdbUrq2K/tKjZJrjTsVNE1HKiw80Qu5//M/3vqUJFyHE2SWBQB0a2MAbWiITb5qLwlpb9VrJvONxDmwaVoYzPKIM57bdXfx6/X66eit8KpWmZJt5umsm24vNNKgiH82s4trEGwO/325yGO3TZAN0ooE9jZfTvv5VLk8+g+8pKpUqXVOXMuOdHz7lzxxseBJOwya2c1XdQghRX5wDm2Drs+zsgs1hK5urU+ksHn1tzqZcbphhub7yaxr73hgymK9N7gAdYYqXEku5JbmFnp4+MlEPvirXeq3Hv9jpTqQhbMch7kKslIZEBordEAWEHfvjm4fro1KN4CUxvW1H1fKf39rE2kO30NSznVs6N9Oy/3+RaJ5I89K7j3utPXLFdl/L9Tz+eob97QXCKC4pOm1CRiZfhDjNJBAY4yJjqQYGQ60edmQJonjQb83Jz/AfmfMf9HRSWfUQPw3eRkf2YmZPbeC329twHEU66fK/e2+is+ziEnFbciPvSm0Y3AdgNYUogecafmkuZVdpMldMb6GxbR3X5A4QFYuU+4poILfjKXYZw8zbPnpK34NsYhNCXAj6SgGvbdzEtm1vsq18FRXbf5uOr9bphEtkDA0ZnxlNLlPDnVzbvooGeoYFAP10Ksu4RJar+9bj5w/Togz9u5wUgzsDkmEXvaRppBBPBnlp3HJfvGm4//jWQhRg+zog1UDJbx4oqZxOuhzqKrFtTzfz3X28L72a0Dr0hh7VjnbcXzxI7paPHTMYOHLFttTdgb/vEXLRDRTKE+MzDeFgZ1FKNgtxmkkgMMZFkaG7UDltNa+PzPnPl8BTihu9jfygNJNfrttPLu1RLAa0VyuAwxJvF+9Pv0STU9sHQNwToGR8UIoEEde6r8H4BbzZBR8MthD09hDffhQG0EB65y+BUwsEZBObEOJ8ZK3lYGeRbbu72bKri72H+2qD8ykAKCwzEr1cmjzEpU1lnuJGXB3iRxWm9W7kBrsGPy6pMGxiR7k+TqYRE4WQ30+zUeRtmgmqD45oqGaAJAEhCTpowioYH+TBcYhbuUeDAYGJQDtQ7uXZ8MZhJZVLlRBr4R3JzYQ4BMoFCxXr0lsxJEdYgT1yxba7DFo5XMc6XlHL0Wqw+3wy4UrJZiFOIwkE6oB9q+VyhujP+Yd45goFofLI6TJebX6ps7cKwFSniw9k1jDHPQRAZBUhDj0qS1i7p7iOQieyNKeSHA6SbNmV5yMN3UTUclZrDODZ6imft2xiE0KcL4LQ8Mb+PFt3d7N1Vxf5wvBrW0KFXJLqYmGmgwXpDnJeiPaSOMriduaplovMDrZws78ZXbtMWsvAFL9O59B+mqiQxwZlFOAoTaRTYPsGD6QUkVGgLLoWRpRVijXqct4Z/YpxTeOwXfvimXpr4iAAG//s+rxSmEw6OVhKNIziC/t43UuRIZMuFspGj7gCe+SKbRgZtHJpVn0Dn08BYWikZLMQp5kEAuKkmMx4VDkPbiLeTOyneTWYzvNdM+iJ4uoUGVXmnswqLvX2xXvQgD1qKuVL3kV2+89JmCJGeziOwss2orWirWBoC6v4rkPFevgqxAw5rgYC5R91PqMlm9iEEOdST7HKttrAf8e+PEFohj3flPWZP7OZ+a3NLNjx/+BVu8FLov0UjpfF9LYRFrv5PyqP4KsALxGvAkRWYSw4yqK0i5ttwhpDmG8bmMW3CkLrEEQGoxXK2lrbAQ9siFPrp1wiQdoWeKf9FaGuTZg4LpgIpR2sIp65TzejM01McIeXVHYdTRhFdJgcDbpE0D/EUJDUBp2bfMzv5sgVW9fRaFOly2YxlrgHDODWqrVJyWYhTh8JBMRJCS+5FX/Df1HCZ62azYvtkymaeIDuEPGh9G+4JvEGjopnlyKrWGMupeHydzFragNO9lb8LU9i/BR9KoutFol6e3ieG4mM4V3XTOeF9Yt4u/sKGgbSghSW4qxlb+ncvdbFMvAXQpwVxlr2txfYuquLbXu62ddWGPa8UtA6Kcf81ibmtzYzsTmF6p85cd+Js+Vn6FQaE0QEh3eiKz0opcmo2uC+lnLTZxJoBc1Ji5vOYUq9mEqty/BA8R9Fr0lgLfQan0an0n+SOBiwUFBpUIrAelhracj6cYdhPw3FPLZ2XLzUwGrq8mDqsJLKqYRLJYh4rryQD6RXg4UAh4SKyCWcEVdgj1yxbUpCXyHiN1yOtYbIKlCQ8h0p2SzEaSaBgBg1rRR9TRfzvH8XL7xepmLiWSCN4er0Xn438fxA0xqDos8kibTDZQ159NQGtFakZ15KYnwzwc6XCPa+wb4+j2dK1/Cmnsy7rpnMe2+czYYpH2XVsw5Xm/UkVEBVeZRm3XLKG4WFEOJsqAYRr+/Ls2V3N9t2d9FbDIY9n/AcLpnRyPyZzVwyo4lM0jvqPRwNzpS5hNE7Yfsv0IUOVCVO51G1GX5j40kSh5Ck42KyLfRpTbb3ACqK04wsYKwmb9N4hDgYJjp5PBVhAGMdXBOhUIR+llKUwkQG19E0pLMkVYXEDfcRbHiSyIRoE2GUxmmaPLCa2j+t0l81aFJzimVLprB2W4bHe+AWfzMtXoFE80Ryx6kadOSKbaqphc6519P7eoZMOFg1aPK4VcXMfgAAIABJREFUtFQNEuI0k0BAHJcCtIbufB+/eGUfL23vJjQWcEiogFszW7nR20xaDd58rJfGJnJktAZrUUEfoaNpyCbw0xlsyzQ2m1k8vH07jqfxU5qG0LBq00EumtJQK9H5x6M6v2M1CaPlhjP2fQghxFDdfZVabf9u3tifJ4yG78ka35hkQWsz81qbuGhKDkfro95DKXCw7NnfxsubdtHWUSCb8lg2bQkze1fUSiYMbgZWEFf+8RNUUhMpVwzN1b1EQJSdQuONHxkYdDcDz/z7A1wZrkVZQ2A1JZPAoHnOuZkPT92JKnQzeUghBRtU0JmWYauoLS052tp6jzr3Y5VUfu+Ns4GlJ/U9HrliOxf485N7CyHEKZBAQByT1grHRhxqz/Pcy/tZ92Yv/YWHMrrCO7I7uNl/Fc+UBkvW9f+Tm4ijBwATQKaZpoYUbqYR68Q3mxWrdw+rNpHwHCq1x0c72zNSk7BCUwoa5p6mb0IIIQYZY3ljX541G/ezdXc3BzuLw57XCmZObmD+zCYWtDYzoSk14nspBY4yqLDMm7sO8fTqXSgNTW6J66qruOjNfQDHKPOscDIN4CXIFA5iA02nyRIqF7+3iD6iVOfE6h66VZZyNHjL9wi5PHiZfS3vYUrvj6WQghB1SgIBMUCp+CbmmCq79nTy7PrDvLp38CbXmHa4JbmVG71NeGEBZQZnqeK+Ajl0uQdV6cW6CTABjtakrroTNzceq5yB92rPl0knh//rd7LVIEZqEpZ/8Qm82z9/6l+EEEIMUa6GvLY3z7bdXWzb3U2hHA57PpVwmTejifkzm5g7vYlU4vi3Vq0UDiEqLBFVSkSR4cUN+3F0xNX6Na5gM646uiQogHI8nGwTNgyodnegiPCtQ7fNxJV1tE9vJRxWqnO800c+HNy4CxBYh3FOH4+8nuGzN0ohBSHqlQQCojb7H0JYZvuuTp7d2MEbhwYH5BNyHssWNHJVQzvpV1ajgiHL1EqDjatQWD+FQcWb2oIy7vipJJcsx52xmCMrmE5oHF5tAjjpahAjNQkLuw9zdOatEEKMXmdPmS274oH/zgM9REf0YpnYnGJ+azPzZzbROjGH1mqEdxoUX2sDVLVIVK1gzGDloKbibn7He4VG4v0ABVIoDK6t4tWKL+hkBieZJSzmsdUy/aP6/uIM1sYTOkeW6vSaWvDa2ger+FjwiOhRDbTny3it18vAX4g6JYFAnerP/XdMlahUZMPOLv5nUxd7OwfrWU9t9rnl0iYWja+QeO1J3B1bBp4zXgoVBbU7T7wiAICjMc2tpG/7IxK5Zqx2jwoCAJYvbR1WbaIampOuBjFSkzC3aeJJfhtCiHoXGcvuQ71s293Fll3dtHWXhj3vaMXsqQ3Ma21i6eJpOMaM8E5HcxRoG0C5SBRUsEOCClXqxtu6gru9bUBcaGEj83iZRdxqf8Vk1QZK42abAEXY04418WqBwmLQGBsHBErFl+QjS3U2L72byor/BVFIYB18FeFrwy/U5Rd0Kc4Nr7cPbFSe0JiUjcRCnAIJBOpMvCQdQVQmLBRZ+3o3v3w1z+GeweoWs1qS3LKwkbkTHPw3n8d94UVU7cZjMhMgrGBdHyIT9xQArJeFqIpScSqQ3zABq0aeIeu/WL+Vi/hITcIa33Y3xRO+WghR70qVkO17utm6u4vte7opVaJhz2dSXi3lp5m50xpJ+PGEx7imFJ2dhWO95TCOAsdWsaUiUVgd3twxCnHfXIX3xvMoE6ca7TEt/Jor6dXNhMawUc9nhpvHzTZhKgVMaUgzsHgOBgWUrYtHSKRcXFsllxxeqtNrXUx5yYcorXuSZtVLj2rgf+wSdpjp3HOBluLc8Ho7D6/cjuNo0kmX7kKVh1duB5BgQIiTIIFAHRg6+28rJSqlMqt39PDrrXm6C4O5rvOnplh2aRMXTUjg7N+At+pZdCWuEmGSDQRzbyWasginfQfOzhdQpW5MdkJ8Q4qqqGwL6SvuwJu55JirAEc6VrWJkzFSk7DMnCspHqO6hRBCHOwo8vzGA7z6Zie7Dg4WQeg3eVy61tiriekTs+jjTGiMxNHgmAqmVCAIg6MS/XXba/hbnkSXugAwiRzBvHfRY2YQbGtDhxGtE7Ncs2gZ3s5uwn1bseHgaq0ibhKmgJLxeLR8E8v8TYyzffTpBqJ5dzDuiFSfuUtvYsOEBfxwyOTLPRfwDPrpKDghhJBAYExTCmxYxTMlonKR3lKV32zvYdW2PH0VM/A7i1szLFvQxJRmH929F2/1Cpx8rVqFdglnXU9w0Q3xrDsQtcwlahlelSedSZIbPx6UP6og4HSRJmFCiNH6zeaD/NtPXh32mOso5kxrZF6tsVdTNjHCq0/M1aCjMqZYIAjCo55XxS68rU/htsVpQFZpwpnXEcxZBq7PHK1YePF4Up6Lm0iiUg1Uk7cS7N0y9F0Ai1IOaAe3eToHO2bzX87Fg2mWrxjumdB+1ID4rU6+nE9OR8EJIYQEAmOURUdVTKVIaDRdHV08vzXPi6/1UAniUbqj4cpZOW5e0MiEnIcq9+Bt+BnugQ0D7xJOXkhwyW3YVOOIR1IKsg050k3jiHsACyHE+SmI4gmQXNqrbfRtZs60BnzXOcErR9bfA0CbMqZQJAiPDgCIAtydq/B2rhpIA4rGzaK64A5stgWtFMmEQ9J3cbVGp7NxPxYUXutiosvvJHjlx2Ai4iXY2vl6SZ4tLqzLmfHTUXBCCCGBwJiibARhGVMuEkYRvaWQ/+/5Lp5d3z7Q5MZ3FUsvznHjvEYa0m58g3r9V3g7n483/wKmYQrV+bdjmmce93iOo8k1jyOZzWLtyS+fCyHE2XTjZVO4et5E+kpVotHv9T2m/h4AOixjyiWC6BgBAKAPb8ffumJ4GtD824kmXYrSipTvkk44aKXRnodKNWD18LpnyavuxmmZRXXNo5j8wfj4jZNIXPshXvlZH+nk8EmYepgZPx0FJ4QQEgiMARYVVbFBGVOtYIdUsviPXx7glTfjXPmUr7n+kgbedkkDmYQD1uIc3Iy3bSW6f8Ovn6E69x1E0y6Py4Ieh+t75MZPwPeTZzUVSAghTpVSinTSpVAOOFabrtHQWqFNgBf2EVVKA6sMRx2r2IW/dQVOW7yB1SpNeNHbCGbfjPJ8Ep5DOuHhagVKoZMpSOQGGzMeYaQ0yAmNL9flzPjpKDghhJBA4IKnoipRXzfHGo1fOiNDvhyxYGqSa2bnSHjx4F71HMDf+hRO1y5gaJ7qzXFX4BPwkkky48bje/7p/TBCCHGechQ4BNhykUg5BMURqgZFAd7OVbg7nx+othaNn011/h2QnYDvOqSSLr6ra1k+GifdiHFObW9CPc+Mj6U9D0KcKxIIjAUjTMm/feE47nrbVN7c2xX/SqWAv+M5nL0vD8w5hS3zCOa9C5sZd8LDKKXw0lkyTU34rvyrI4QY2xTxfiod1VIuwxBrLTaZPubvO4e34W1dgS51A7Vqa/NuJ5q0AM+LU4B8V8fvbEH7CVSqAaNOfY+CzIwLId4KGc3VAxPh7lqN9/qvUGElfijbQnXe7ZgJc0b1FlprvGwjmYYGPEc2BQshxq44/9/G+f/F4oj5/wO/X+yspQG9BgxPA3ITCRqSHokhG5KV1uhUZmBD8FslM+NCiFMlgcAYZq2lsnszief/G13sjB9zkwQXv51wxtVxc4FRcBwXN9tIJpeVIEAIMWbFDRdDVFgmqhRHzP8fEAV4bzyP++aqIWlAc6guWI6TayGbdEm6LkNbEWjPQ6UbsMob4U2FEOLskUBgjDI9h6mu+ynFg9vRgFWKcMbVBHNuAf/Yy9rH4iYS6FQj2Wwa15HKQEKIsUcrcGwI1SKmWsGY4wcA1lqcQ1vjNKBasQWTbCCYvxw7eQHppEvSc4c3I1MKJ5XG+tnTsgoghBCngwQCY4ytFKm++gzhjt+AjW9m8Ua127HZiaN+H6UUbjKNSubIZZNxZQshhBhDHG1xTG0DcFDFjqIEmip0EK1/msTB/mpADuGstxHNvplkJkXSd3GO6EasHAedbsCe4oZgIYQ4UyQQGCOsiQjfWEN100qoFgFQ2fE0vO13OKinndQMlNIKN51DJ3Lk0h6OBAFCiDHEUaBtLf8/DEZXSTSs4u38Ne7OF7F2MA0ouPQOEs2TyCUcnCPLLiuFTiRQyQasNFwUQpyHzkkg8JOf/IQHHniAMAz5vd/7Pe65555zcRpjRnRoB5V1P8HmD8UPuAm8S9+BN/cGks1Z2Ns16pLZ2nHQ6UbcZIpc2kPJErYQYoxQGFS1BIUugmowuhdZi3N4K97WpwbSgEg3U7nkXbhTL6Ux7R9zxVQ5GifVgPWk14oQ4vx11gOBQ4cO8d3vfpfHHnsM3/f58Ic/zNKlS7n44ovP9qlc8ExvO5UXHiLcta72iMKddRX+ZbejkrmTfj/XS6DSDfjJBNmkCxIECCHGAGUjCIqYSglrDOYEVYAGXlfowN/yJE7H60B/GtD1NFx1O16kBkuBHkH7PirVGJcFlSBACHEeO+uBwAsvvMB1111HU1MTALfffjsrVqzgT/7kT872qVzwSk/fj+mIm4LpCRfhX34nzrjpJ/9GCrxEChINZDKJYR0qhRDiQqQUYAJstYSplAe7ro9mfmNIGpDqTwOacDHRwneTGT+J8eNydHUVj3FMhU5nT1tZUCGEONPOeiBw+PBhWlpaBn6eOHEiGzZsONunMSY4U+cDFm/uDTgzFqPUyd94lFa4qRzWS5PLJGozXEIIcWFSCoiq2EpcAeik8nKsxTm0BW/bU+hyDwAm1UR06XJSrYtIeO6QgwynPQ+VasBqKQsqhLhwnPVAwBgzbMBqrT2pAez48dm3dPyWlpNPmTlvvffTmEqZsK9zxF8JwojGhvQxV6e1o9HpRnATjGtIkvDHzt7xMfV3HoV6+7xQn5/5THmr11U4P/4eplImKvdhVRVcBzLHLpUcoYiOuCjanjaidU9gD8VNwdAuzoJlNF1+G5lMGnXEPoDmcZmBf9Z+CifTgNJjezX1fPgbn2319pnr7fOKcxAITJ48mbVr1w783NbWxsSJoy9r2dHRhzGnlnTZ0pKjra33lF57vlJRhai3MOLz2YYk+Z7iUZNibiIBiQy2ENGcjejJl87wmZ49Y/HvfDz19nmhfj7z2bopv5XrKpxHf49iV7wKcDwKenrLhP2RQFjFe+NXuG++iOovudxyCc7l7yHRPJEggO7u4WlAzeMydHUW4g3ByRzWutjy0alCY8l58zc+i+rtM9fL55VgZ7izngdy/fXX8+KLL9LZ2UmpVOLpp5/m5ptvPtunUbeUUnipDCbZBI7DuGwCZ5QdhoUQYsywFufgZpKr/hlv5yqUNZhUEyy9h8wtHyfTPOm4VdO056Mz4zBeSqoCCSEuWGd9RWDSpEl89rOf5b777iMIAj7wgQ+wePHis30adUlrjZPOEjppHK1oyibQ0iNACFFv+tpIbPo5TudOAKx2Ye5NpBbeguueoOmXUuhEBoySDcFCiAveOUkKv+uuu7jrrrvOxaHrluO6qFQjgXLxHE1T1kefwuZiIYS4UNmgQrDlObxtvx5IA7KT5pG48i683IQTvl45GifdiJtthNLYT6EQQox9Y2d3qBiR6yewiQYCq/FdR4IAIURdsdYS7dlAdf3PsKUeFGDTzXhX3EVi+qWjqvU/rDeAEEKMERIIjHHaT2JSPmEECc+hUYIAIUQdMflDVF75MeZw3BQMx8WZt4zEpbegtHfiIEApnFQa62clFUgIMeZIIDBW1W5eOtOMae8k6Wsas/5xN78JIcRYYYMK1c3PEL62CmppQM7US/EvvxOdHTeq91COxkk1YNzkmTxVIYQ4ZyQQGIOUUjjpBoyXQilFOuGSSXkSAgghxrw4DWg91fU/x5bipmAqOx7/ivfiTpk36vfRno9KSyqQEGJsk0BgjFGORmeaMNoHwHM1ubQn5e2EEGNe1H2A8ur/wrS9ET/geHgL3o437yaUM8qOv0rhJFPYRE5SgYQQY54EAmOI9jxUuhGrBv+sSikJAoQQY5o1hsqaRwg2Pj2YBjRtYZwGlGke9ftIKpAQot5IIDAWKDUYBCDL2EKI+hLuXEuwYQVwamlAUEsFSjVgtNwWhRD1Q654Y4CTSGGTsowthKhPzuS5uLOvQTdOwp19Hco5iVubVAUSQtQxCQQudI6HdXyQG5gQok7pTDOpW/8Yil2YamXUr5NUICFEvZNA4AJn0ef6FIQQ4oIjDcKEEEICASGEEPVEUoGEEGKABAJCCCHqgnIcdLoB6yTO9akIIcR5QQIBIYQQY55OJFGpnFRWE0KIISQQEEIIMWYprdGpLNZLSSqQEEIcQQIBIYQQY1LcX6UBq0bZVVgIIeqMBAJCCCHGFqXQyRQkpL+KEEIcjwQCQgghxoz+3gDWS2LtuT4bIYQ4v0kgIIQQYkxQjotK5jDaBQkChBDihCQQEEIIMSbYRBbpsi6EEKMnbWmFEEKMERIECCHEyZBAQAghhBBCiDokgYAQQgghhBB1SAIBIYQQQggh6pAEAkIIIYQQQtQhCQSEEEIIIYSoQxIICCGEEEIIUYckEBBCCCGEEKIOSSAghBBCCCFEHZJAQAghhBBCiDokgYAQQgghhBB1SAIBIYQQQggh6pAEAkIIIYQQQtQhCQSEEEIIIYSoQxIICCGEEEIIUYckEBBCCCGEEKIOSSAghBBCCCFEHZJAQAghhBBCiDokgYAQQgghhBB1SAIBIYQQQggh6pAEAkIIIYQQQtQhCQSEEEIIIYSoQxIICCGEEEIIUYckEBBCCCGEEKIOSSAghBBCCCFEHZJAQAghhBBCiDokgYAQQgghhBB1SAIBIYQQQggh6pAEAkIIIYQQQtQhCQSEEEIIIYSoQxIICCGEEEIIUYckEBBCCCGEEKIOSSAghBBCCCFEHZJAQAghhBBCiDokgYAQQgghhBB1SAIBIYQQQggh6pAEAkIIIYQQQtQh92wf8PHHH+c73/kO48ePB+CWW27hs5/97Nk+DSGEEEIIIeraWQ8ENm3axBe/+EXuvPPOs31oIYQQQgghRM1ZTw3auHEjjz/+OHfddRef//znyefzZ/sUhBBCCCGEqHvKWmvP5gH/+I//mE984hNceeWV/MM//AP79+/nO9/5ztk8BSGEEEIIIereGQsEnnzySb75zW8Oe2z27Nk8+OCDAz/n83luu+021qxZM+r37ejow5hTO+WWlhxtbb2n9NoLlXzmsa/ePi/Uz2duacmdleO8lesq1M/fo1+9fV6Qz1wP6uXznq3r6oXijO0RuOOOO7jjjjuGPdbb28uDDz7Ixz72MQCstTiOc6ZOQQghhBBCCDGCs7pHIJ1O8/3vf5/169cD8NBDD3HbbbedzVMQQgghhBBCcJarBjmOw/e+9z3+8i//knK5zEUXXcS3vvWts3kKQgghhBBCCM5B+dCrr76axx9//GwfVgghhBBCCDGEdBYWQgghhBCiDkkgIIQQQgghRB2SQEAIIYQQQog6JIGAEEIIIYQQdUgCASGEEEIIIeqQBAJCCCGEEELUobNePvSt0lqd09dfiOQzj3319nmhPj/zmXI6vst6+3vU2+cF+cz1oN4+rwBlrbXn+iSEEEIIIYQQZ5ekBgkhhBBCCFGHJBAQQgghhBCiDkkgIIQQQgghRB2SQEAIIYQQQog6JIGAEEIIIYQQdUgCASGEEEIIIc6yvXv38v73v/+cnoMEAkIIIYQQQtShC66hmBBCCCGEEOfKvn37+PznP09fXx9Tp07lgx/8II888gjlcpm9e/fymc98hmeffZZNmzbxyU9+knvuuYf9+/fzxS9+ke7ubqZMmcI3v/nNYe/53e9+l7a2Nr7xjW+wdu1avvWtb1GpVFiyZAlf/epXeeKJJ3j88cdpb2/nM5/5DMuXLz8tn0UCASGEEEIIIUbpscce4/3vfz8f/OAHefDBB9m2bRubN2/m5z//Odu3b+f3f//3WblyJZVKhY9//OPcc889fP3rX+fDH/4w7373u3n44Yf5+7//e/7oj/4IgEcffZTXXnuN+++/n2q1yre//W2+//3v09DQwNe//nV+9KMfoZSiXC7z5JNPntbPIoGAEEIIIYQQo3Tttdfy2c9+lpdffpnly5eTTCbZuHEjjY2NTJkyhZkzZ9LS0gJAT08PABs2bOCf//mfAbj77rt58MEHAdizZw9/9Vd/xb//+7/jOA47duxgx44d3HvvvQBUKhWSySSzZ89m4cKFp/2zSCAghBBCCCHEKC1dupQf/ehHPPPMM3zve9/jfe97H77vDzzvOM5Rr7HWDvvnKIoASCQS/PVf/zV/93d/x6OPPooxhoULF/If//EfAPT19aGU4qmnniKVSp32zyKbhYUQQgghhBilb33rW7z44ot89KMf5eMf/zgPPfTQCV9z2WWXDaT1/PjHP+aKK64AYOLEiSxfvpxJkybx3//938yaNYs333yT119/HWstf/EXf8HPf/7zM/ZZJBAQQgghhBBilD7ykY/wn//5n7zvfe/j0Ucf5Q//8A9P+Jovf/nL/PCHP+TOO+9k5cqV/Pmf//mw57/whS9w//33U6lU+OY3v8nnPvc53vOe95DJZM5oiVFlh65VCCGEEEIIIeqCrAgIIYQQQghRhyQQEEIIIYQQog5JICCEEEIIIUQdkkBACCGEEEKIOiSBgDhn7r//fq677jruvvvuYf+7cePGM3rcvXv3DpTtOhnveMc7jvn4o48+ysMPPwzAD3/4Q/7t3/7tLZ3fW7V69WruvPPOM36cxx57jD/4gz8448cRQoyOXFPPjNWrV7N48eKB7/Ouu+7ivvvu44UXXhj4nS9/+cvDfhbiQiENxcQ59e53v5uvfOUr5/o03pLf/va3zJ07F4hLigkhxLki19Qzo7W1lSeeeGLg561bt/LJT36Sf/mXf2HJkiX8zd/8zTk8OyFOnQQCdapQKPClL32JXbt2obVm4cKFfO1rX0NrzXPPPccDDzxAEAQkk0m+8IUvcMUVV/ClL32JYrHIP/7jP/Laa69x33338dBDDzFnzpyB992xYwef+9znjjrefffdx+/+7u+e1Dk+8MADPP300xhjmDZtGl/96leZNGkS9957LwsXLmTdunV0dnbyoQ99iPb2dtasWUOpVOJ73/se8+bNY926dXz729+mWq3S1tbG9ddfzze+8Y1RH2c0Vq5cyXPPPceqVatIJpN0dnbS1dXFV77yFd7xjndw55138pvf/IZ8Ps+nPvUpXn75ZTZv3ozrujzwwANMmjSJQ4cO8bWvfY0DBw4QBAHvec97jlmT+E//9E/ZtWvXsMemT58+0LJ8NO69917uueceli9fftTPl112GZ/+9KdZtWoVhw8f5lOf+hQf/ehHAfjXf/1XHn/8cVzXZebMmfzt3/4tAG1tbXz605/mwIEDOI7Dd77znWH/PghRL+SaeuLjjMaFck2dP38+9957Lw8++CDf/e53B66lixYt4mMf+xjLli1j/fr19PT08Gd/9mfcdttt3H///ezbt4+2tjb27dvHpEmT+Pa3v83EiRNHPOe9e/dyzz33MGfOHPbt28cPfvADJk6cOKrvUlyYvva1r9He3s4//dM/DTz2/PPP89WvfpUnnniCbDZ7eg9oRV16/PHH7Sc+8Qlr/3/27jxKrrO+8//7uUtV762ttdmSrcVabMf7Kpt4A+HdCQ6cEOyQYZJwMmfmHGayDCYQJjAQw+EkwTkJyRkmyS8MGcIECEnABhuDDcLGMt5BtqxuLZa1q9Vde93t+f1R3dXdVkvqpap6qc/rHJ/jru6q+9yWdO/9Ps/3+X6ttVEU2T/8wz+0e/bssbt377Z33nmn7e/vt9Zau3PnTnvdddfZfD5v8/m83bp1q/36179u77jjDvvNb35zWmN46KGH7NVXX23vvvvu6n9/8Rd/UR3fhz70IRuGobXW2q985Sv2N3/zN6211t533332P//n/2yttfaFF16wGzZssN/73vestdZ+6lOfsh/96Eettdb+1//6X+3TTz9trbU2l8vZq6++2r788sv2jTfesJdccskZj/NWN91007iv//f//t/tF7/4xeo5/fEf/3H15z/96U9ba6391re+ZTdt2mR37NhhrbX2P/2n/2S/8IUvWGutvf/++6vjL5VK9v7777ff+ta3JvnbHPH000/bO+64Y9zv3Xffffbhhx8e9+sNGzbYL33pS9Zaa19++WV74YUX2lKpZB977DG7detWOzAwYK219tOf/rT9q7/6K/u1r33NXnHFFXbPnj3WWms/+clP2gceeGDK4xaZy3RNbb5r6ve//317++23W2tHrqVvvPGG3bBhg3388cettdY+8sgj9sYbb6yeyy233GKz2ay11toPfvCD9vOf//xpxzz8edu3b5/y+GVuyeVy9qabbrKPPfaYtdbafD5vb7nlluq/vVrTikCTuvzyy6uzGFu2bOH9738/55xzDl/+8pc5cuQIv/Ebv1H9WWMM+/btY9OmTfzZn/0Z73nPe7j77ru5++67T/rcyc5enWoZ+/vf/z4vv/xy9T1JklAsFqvff8c73gHAqlWrAHjb294GVJZvn3nmGQAefPBBnnzySf76r/+avr4+yuUyhUKBBQsWTPg407V169bqOJcsWcKmTZuq4xwcHKRQKLB9+3YGBwf5/Oc/D0ChUODVV1/l9ttvH/NZtVgROJNbbrkFgAsuuIAgCCgUCjz11FPceuutdHd3A/DAAw8AlT0CF110Eeeccw4Amzdv5tFHH63ZWETmEl1TJ3ac6ZpN11RjDC0tLSe97vs+N9xwAwDnn38+AwMD1e9dddVV1Rnd888//4xjvuiii/A8j0suuWRCY5LGeXbHYb7+g10c7i+wbFEb77pxPVdsntjK1+m0t7fzP//n/+S8zud6AAAgAElEQVQjH/kI1157LQ899BA333wzV199NS+++CJ/8id/QrlcZtGiRXziE5/grLPO4otf/CLf/OY38TyPiy++mP/xP/7HhI+nQKBJrVq1ikcffZSf/OQnPP300/yH//Af+MQnPkGSJFx77bX8+Z//efVnDx48WF2K3L17NwsWLGDHjh0EQUAqlRrzuevXrx+TRzlVSZKMSU0JgoDBwcHq9996XN/3T/qM++67j40bN/K2t72N2267jRdffBH7lkbaZzrOdI0e53hjTJIEay1f+cpXaG1tBaC/v590On3Sz45eJpyO0b+DMAzHfG/4uMaY6s+6rlv9GiCTyZDJZADwvJFLiDHmpN+vSLPQNXVix5mu2XRNffnll9mwYcNJr/u+j+NUarGMvnYCYwKH4Wvm6cZ84sQJUqnUmGutzLxndxzmb77+Ep5n6Gz1OJEp8jdffwnedVFNgoEtW7Zw/fXX88ADD9DX18f/+3//jyAI+OhHP8r/+l//i+XLl/ODH/yAP/qjP+ILX/gCf/u3f8uTTz6J4zg88MADHD16lJ6engkdS1WDmtQ//uM/8sADD3D99dfz+7//+1x//fX8/Oc/59prr2Xbtm309vYC8MQTT3D33XdTKpXYv38/n/rUp/jbv/1b1q5dy+c+97m6je/666/nn//5n8nlcgB8/vOf5w/+4A8m/P5MJsPLL7/M7/3e77F161YOHTrEvn37SJKkpscBcF2XKIom9Z5hHR0dXHLJJfzd3/1dddzvfe97+d73vjelzzuTRYsW8corrwCVmcbXXnvtjO/ZsmULjz76aPV39Bd/8Rf8/d//fV3GJzJX6Zpam+PA3LimvvTSS/zf//t/ef/73z/tz2r0fUCm7+s/2IXnGVpSXmVlKOXheYav/2BXzY7x4Q9/mG3btvHRj36UlpYWent72b9/Px/84Ae55557+NM//VP2799PKpXiwgsv5Fd+5Vf4y7/8S37rt35rwkEAaEWgaf3SL/0SzzzzDLfffjutra2sWLGC+++/n+7ubj7xiU/w3/7bf8NaW92AlU6n+d3f/V3+43/8j2zYsIE/+qM/4q677mLLli3ceOONNR/fu9/9bg4fPsx73vMejDGsWLGiukF1Irq6uvjt3/5tfvmXf5m2tjaWLVvGZZddxt69e6tL37U4DsAv/uIvTvo9o33uc5/jk5/8JHfddRdBEHDnnXeOmyIwGb29vSeV83vyySf5nd/5HT784Q/zxBNPsHbtWq644oozftYNN9zArl27qtU71q9fzyc/+Um++93vTmuMIvOJrqm1OQ7Mzmvqvn37uOeeewBwHIeOjg4+97nPVVOTputUY96/f39NPl9q63B/gc7WsY/Qad/lSH+hZsfo6Oigq6uLs846C4A4jjn33HP5xje+Uf36+PHjQKWgx/PPP8+TTz7JBz7wAf70T/90Qvd3AGO1li8yITfffDOPP/74TA9DRGRe0DVV5qqPfGEbJzJFWlIjwUApiFjY1cqnf+e6mh3n5ptv5h/+4R84++yzKZVKvP3tb+ehhx7isssu4x//8R/57ne/y2c/+1l+4zd+g3/+53+mra2NP/iDP+CSSy6ppuediVYEREREREQm6F03rudvvv4SJSLSvks5jIkiy7tuXF+3Y7a0tPDnf/7nfOpTnyIIArq6unjwwQdZunQp9957L+9617toa2tj7dq1/PIv//KEP1crAiIiIiIikzBcNehIf4GlNawa1GgKBEREREREmpCqBomIiIiINCEFAiIiIiIiTWjObRY+fjxHkkwtm2nhwjZOnKhdaae5QOc8/zXb+ULznHNPT2dDjjOd6yo0z5/HsGY7X9A5N4NmOd9GXVfniqZaEfA8d6aH0HA65/mv2c4XmvOcZ7Nm+/NotvMFnXMzaLbzlYqmCgRERERERKRCgYCIiIiISBNSICAiIiIiMkvs37+fjRs3sm3btjGv33zzzezfv7+mx5pzm4VFRERERGZSvvc5Bp/6JtHAEbwFS+m+9h7a111Ws8/3fZ+Pfexj/Ou//isdHR01+9y30oqAiIiIiMgE5Xuf4/gjXyTKncC0dBDlTnD8kS+S732uZsdYunQpW7Zs4TOf+cxJ3/vrv/5rbr/9du666y4efPBB4jie8nEUCIiIiIiITNDgU98E18PxWzDG4Pgt4HqV12vowx/+MD/60Y/GpAg9+eSTPP7443zta1/jG9/4Bnv37uUrX/nKlI+hQEBEREREZIKigSMYLz3mNeOliQaO1PQ4HR0dfPKTn+RjH/sYuVwOgKeffpo77riD1tZWPM/j3nvv5amnnpryMRQIiIiIiIhMkLdgKTYqj3nNRmW8BUtrfqzrr79+TIpQkiQn/UwURVP+fAUCIiIiIiIT1H3tPRBHJGEJay1JWII4qrxeB8MpQkeOHOGaa67hW9/6FqVSiSiK+NrXvsY111wz5c9WICAiIiIiMkHt6y5j8a2/idexEFvK4XUsZPGtv1nTqkGjDacIhWHIjTfeyI033si9997LHXfcwcqVK7nvvvum/NnGWmtrONa6O348R5JMbcg9PZ0cPZqt8YhmN53z/Nds5wvNc849PZ0NOc50rqvQPH8ew5rtfEHn3Aya5XwbdV2dK7QiICIiIiLShBQIiEjTSmxCHJ+88UpERKQZKBAQkaaUWMtgLmBO5UaKiIjUkAIBEWk6FsjkA4JIqwEiItK8FAiISJOxZAsBpWDqLdlFRETmAwUCItJU8uWYQmnqzVdERETmCwUCItI0SmFMrhDM9DBERERmBQUCItIUgighkwuYW51TRERE6keBgIjMe4lNyOTKJIoCREREqhQIiMi8lljLQDYgmkbnXBERkflIgYCIzFsqEyoiInJq3kwPQESkPizZQqgyoSIiIqegFQERmZdUJlREROT0FAiIyLyjMqEiIiJnpkBAROYVlQkVERGZGAUCIjJvJInKhIqIiEyUAgERmRcSaxnIqUyoiIjIRCkQEJE5T2VCRUREJk/lQ0VkjlOZUBERkanQioCIzGkqEyoiIjI1dQ8Ecrkcd955J/v37wfggQceYOvWrdxzzz3cc889PProo/UegojMU2WVCRUREZmyuqYGvfjii3z0ox9lz5491ddeeeUV/s//+T8sXbq0nocWkXkujBMGVSZURERkyuq6IvDVr36Vj3/849WH/mKxyIEDB/jIRz7CXXfdxUMPPUSSaHOfiExOEMYMZlUmVEREZDqMtfW/k9588838wz/8A9ZaHnzwQT7+8Y/T2dnJBz/4Qe68807e85731HsIIjJPRHFC/2CJMK7NJMLi7hZaUqqbICIizaehd79Vq1bxl3/5l9Wv77//fv7lX/5lUoHA8eM5kinWCe/p6eTo0eyU3jtX6Zznv2Y6XwsM5sq0dbTQ35+f9ucZA04c47mzs25CT09nQ44znesqNNffQWi+8wWdczNolvNt1HV1rmjo3e+1117jO9/5TvVray2ep5k4EZkIS7YQqEyoiIhIjTQ0ELDW8ulPf5rBwUHCMOSf/umfeMc73tHIIYjIHKUyoSIiIrXV0On4TZs28du//du8973vJYoitm7dyp133tnIIYjIHKQyoSIiIrXXkEDg8ccfr/7/+973Pt73vvc14rAiMg+oTKiIiEh9zM4dciIiQJIkKhMqIiJSJwoERGRWslgG8iHRNKrZiIiIyKkpEBCRWccCg/mAIFSFIBERkXpR7U4RmWUs2UJIqawgQEREpJ60IiAis0q+HFNUmVAREZG6UyAgIrPGcJlQ7QoQERGpPwUCIjIrhHHCYF5lQkVERBpFgYCIzLhqmVBVCBIREWkYBQIiMqNUJlRERGRmKBAQkRmjMqEiIiIzR4GAiMwIYyBXVJlQERGRmaJAQERmRL4UUSiGMz0MERGRpqVAQEQarhzGZFUmVEREZEYpEBCRhlKZUBERkdlBgYCINIzKhIqIiMweCgREpCFUJlRERGR2USAgInWnMqEiIiKzjwIBEakrlQkVERGZnRQIiEhdqUyoiIjI7KRAQETqRmVCRUREZi8FAiJSFyoTKiIiMrspEBCRmksSy2BOZUJFRERmMwUCIlJTlTKhAVGsIEBERGQ2UyAgIjWjMqEiIiJzhwIBEakJlQkVERGZWxQIiEhNqEyoiIjI3KJAQESmTWVCRURE5h4FAiIyLSoTKiIiMjcpEBCRKVOZUBERkblLgYCITInKhIqIiMxtCgREZNJUJlRERGTuUyAgIpOiMqEiIjLTYqWk1oQCARGZFJUJFRGRmRLGCcczJcpaka4Jb6YHICJzR9DkZUKNjcA4WM2hiIg0lLVQKIfkiiHWQmt6pkc0P+huJiITEsWVzcHNWCbUGHDCIjZ3Amwy08MREWkqUWw5kSuTLYRNeQ+qJ60IiMgZJYllIFdqyjKhhgRbzBKXSxjAzPSARESahAUK5Yh8ISSpSQRgiUt53Jb2GnzW/KBAQEROq5nLhJokxBYzJOHQngijMEBEpBGixJLNBzXbC2BshC1miN20AoFRFAiIyCk1b5lQiwmLJIUsVuvQIiINVShH5Gq4CmCCHEmxMHQ91+aC0RQIiMi4jIFsofnKhBriaiqQiIg0TpwkZPJhTVYBjAETlYlLuZFVXTmJAgERGVczlgk1cZmkkMHGzRX8iIjMLEshiCurADXYi2bs0IROUEa7i09PgYCInKT5yoRaTJAnLuZ10xARaaAkScgUQkpBLSZgLCYskJTy2FgV3iZCgYCIjNFsZUKNTaAwNHMkIiINYikOrQLUokuwSYLKKoDSgCZFgYCIVMVNVCbUGPAJsbksSROtfYiIzLQ4sWSLQU32oBlibDlPXCpqRXcKFAiICFApEzrYJGVCXcfihsXKJrL2FI6j3ooiIvVmDBSDmGw+mPYqgKHS6DEuZZUGNA0KBESkqcqE+iaBUoawXFZbABGRBkmsJZsPKZWjaa3BGgOeiTGlASIb1Wx8zUqBgEiTa5YyoY4xeLZMnM+QqCqQiEhDGAOloVWAaJqrAJ4DTlQgLuaJ0y6k9Bg7XfoNijS5ZigT6jnghDmiYl4NwkREGiSxllwhpFiOppW+7zgGNwmwhSxhdTOwW5MxNjsFAiJNbL6XCTWA58RQyBKGqgokItIIw3sBctNcBTCA6yQ45RxRuaSJnDpQICDSpOZ7mVDHMXhxkTiXJdFGMhGRhhiuCFQux9OaZHINuEmJOJcjVDpn3SgQEGlC871MqOdYnCBLVCpqBklEpCEspTCZdkUgY8AjhnKOMCgxb5esZwkFAiJNZj6XCa3cQCJsITMqj1REROqpVn0BRm8GThKt5DaCAgGRJjKfy4Q6BrykSFzI6QYiItIQtVkFcIzBtW/dDCyNoEBApEnM5zKhnmNxylnCclHLyCIiDZBYO3RPmV5fgEoqZ46oVFAq5wxQICDSJPLl+Vcm1BjwbIQtDBKGaiwjIlJvtaoI5BjwbJkklyOMdf2eKQoERJpAMLR0O5/mWlwDTlwgLuaw83TTs4jIbFKLvgDDnYEp5YiCslYBZphT7wPkcjnuvPNO9u/fD8CPf/xj7rrrLrZu3cqf/dmf1fvwIk0vThIG8+V5VSbUsTFOeZAon1UQICJSZ8ZU+s70D5YolKYeBLgO+HGRJNuvvgCzRF0DgRdffJH3vve97NmzB4BSqcRHPvIR/uqv/opvf/vbvPLKKzzxxBP1HIJIU0usZSA3vU1cs4kx4BOS5I4TlUszPRwRkXlvuNLciVx5yqlAlWt3hFMYIMxnVNBhFqlrIPDVr36Vj3/84yxduhSAl156iXPOOYdVq1bheR533XUXjzzySD2HINK0LJDJB4TR/Ljgug74UYE4d6LhDcJsHBG8+gT5f/8M5ZcfbeixRURmShAmHM9MbxXAcyx+lCfO9xPNcId3W87P6PFno7ruEfjUpz415usjR47Q09NT/Xrp0qUcPny4nkMQaUrVCkHB/KgQ5JsEShnCcuNvItGhnQTP/xs2exSA5Pi+ho9BRKSRLJZcMaJQCqccADiOwUvKJPksYTSzm4FtKUe484eEu55i0W8pLX20hm4WTpIEY0z1a2vtmK8nYvHijmmNoaenc1rvn4t0zvPfW883my+TtoZ0a2qGRlQbBjBRibiYxxoXWtqq3+vubjv1GyehuzNFyj/5Uhhl+xn88dcp735xaDAOHRf+Iotv+XXc9vn192u611XQv7lmoHOe/3p6OimWQzK5gHSrM+V7iGMjKGaJgjK0p4Da34s6Wjza207/uXExS+7Fx8m98iQ2Cmo+hvmgoYHA8uXLOXr0aPXro0ePVtOGJur48RzJFHPUeno6OXo0O6X3zlU65/nvrecbhAkncqU5vznYdcAN80TF/Ekbyrq72xgcLEz7GMaAk8R4zkiWpI1DwteeJNzxA4gr5VadnjWkL70bFq7kRD7BFhrz96tRDyHTua6C/s01A53z/LdocQf73jxBvjj1VQDXsbhxibiYq3sKZxz4BKXxS2KPXgFgOADwW/A3vK2uY5qLGhoIXHzxxezevZu9e/dy9tln8+///u/ce++9jRyCyLw2XyoEzVQqUHRgRyUNKN8PgGntInXx7birLp706qWIyFwRxgnHThTJFabWa8YY8IigmCMMZm4fwLgBQKoVf8P1+Ouvw6RaZmxss1VDA4F0Os2DDz7If/kv/4VyucwNN9zArbfe2sghiMxb86FCkGMMni0T5zMkceP2NyS54wTP/xvxwVcrLxincuM4/xaMn27YOEREGskChVJIvhixYKE7pc/wjMWJCkSl/IyVc7alHOFrPyTsVQAwWQ0JBB5//PHq/1977bX867/+ayMOK9I0LJApzO0KQZVUoNy4qUB1E4dErzxJvPNJSCqBh7NsPelL78bpmlzaoojIXBIllkw+IAinNuniOAbPBiTFzIx1dq8GALt+XE3lVAAwOeosLDIP5IohpfLcrRDkOw1OBbIW9/AO/Ne+S1waBMC0LSB1yZ24Z12gNCARmbcsUCxH5AohyRQnXTwnwSnnZq4pWJAn6fsJhb6nFQBMkwIBkTkumy9TOMWGqdmumgqUa1wqkMkdI/Xqw7jH+4YG4eJv/EX8zTdhvLldZUlE5HTiJCGTDylPcRXANeAmJeJcjrCB6ZtVQR5/94/x3tiuAKBGFAiIzGFBlBAWpl7hYSZ5DjiNTAWKyvi9T+LtfRpjKylUcc95tF5+N35XzxneLCIyl1kKQVxZBZhCHn9lM3AM5RxhUKosKzTSqADADAcAfiv+xrfhn7cF4ysAmCoFAiJzVJwkDObKdC+oTT39RjGA58RQyBI2osuktbiHXsF/7VGccqUUYNK6kGDTrdhlG2jr0GZgEZm/kiQhM40Gk64DblQgLuZJkgbvQxsnALBeC+G515LeeB2p9un3QGl2CgRE5qDEWgbnYIWgSipQiTiXbUgqkMkeJrXjYdwTewGwjke49nqic68D10M7AURk/rKUwoRsfmr3CscYXBtiCxnCsMHpp+U8/p7xA4DonKvBS9Pi+40d0zylQEBkjhmuEBTMsQpBlVSgLFGxUP9UoLCEv+v7lZvI0LGiZZsJN27Fti6o77FFRGZYnFiyxWDKRSQ8xw6lbjbgej3aeAGA30p4zjXVAEBqS4GAyBxiDGQLc6tCUDW3tBGpQNbiHniB1M7HMEGl83DSvphg020kS9bV99giIjPMGCgG8dRXARyDl5RJ8lnCqIElQU8VAJx7LdHqqxQA1JECAZE5pFCO5lSFIMeAl5SIC9m655aazEFSO76NO7AfAOv6hOtuIDrnGnCm1ihHRGSuSKwlmw8plaMp7eV1bIxXHmxsSdByHn/PNrw3nlUAMEMUCIjMEUGUkMkHc6ZCkOdYnHK2/jeVoIC/63G8N35azfmPll9IuPEd2Jau+h1XRGQWMAZKQ6sA0ZT2AgxN2OTyhKViHUY4DgUAs4YCAZE5ILGVCkFzIQgwBjwbYQuD9e02aRO8/c/hv/44JqzcvJKOpQSbbyNZdG79jisiMktUVwGCaNL3B2PAMzGUKiVBrduACnQKAGYdBQIis5zFMpCdGxWCXANuXCQqZrF1HG9yfC/p7d/AzRwEwHppwvU3Eq26ChynbscVEZkdKhWBclNcBXAdixuViIu5xpQEVQAwaykQEJnFLDCYnxsVgnyTQDlLWC7V7yDlPKnXHyN+8wWGs/6jlZcQbLgF0qonLSLz33BFoHI5nvRegErxhggKucb0cVEAMOspEBCZpeZKhaBKb4BKlYk4rlMqUJLgvbEdf9f3MVHl5pV0LifYfDvJwlX1OaaIyKxiKQ51B57KCnGlhHOBqJSr64otAOVcpQrQvu2YpHJfUAAwOykQEJml5kKFINcBN8wRFfN12xDs9O8ltePbOLkjQKWpjHvRbRSWXAhGaUAiMv9NpztwpTFYgC1k698YTAHAnKNAQGQWCqKEbD6ctZuDDeA59e0NYEpZ/J2P4h18GaikSUVnX0543s109yyBwUJdjisiMpsUgohcISSZ0ipAgxqDKQCYsxQIiMwyiU3I5MokszQKcByDFxeJc1mSuA57F5IYb+9P8HufwMQBAHH3WYSbbyfpXln744mIzEJxUpkQKoVTWAVoVGOwcg5/99AeAAUAc5ICAZFZxGIZyIVTqgLRCJXeAJm69QZwjveR2vEwTv4YADbVRrDh7cQrL6lsmhARmecsUCxH5IpTXQVIcMq5+vZwOWUAsIVo9ZUKAOYQBQIis8hgPiCYwuxPvQ1XmrCFTF1yTE1xEP+17+Ad3gGAxRCtvpJw/Y3gt9b8eCIis1GUWLL5gPJUVgGqjcFyhHGd7iMKAOYdBQIis4AxVDaCzcIKQcO9AepSbzqO8Pb8GL/vh9WbSrxgNcH5t2M7l9X2WCIis5SlUiAiXwgnnRZamahJMOUsUVCuzyrAKfcAKACY6xQIiMwC+VlaIchzEpxSfXoDOEdfr6QBFU8AkKQ7CDdsJV5xodKARKRpRLElU5jaarBrwE2GJmrqsWfrtCsAV4GXqv0xpaEUCIjMsCBMyOaDWVUhyBjwbIjNZ2q+0cwU+vFf/Q7e0Z0AWOMQnXM14bobNKskIk0lVwrJFydfIa7aGKycIyzXoXKbAoCmoUBAZAZFiWUwX55VQYBrLG5cJCrWuOlMHOL3/QhvzzZMUpn5ihetIdh8G7ajp3bHqSdjqBRPFRGZuiBKyBYCwil0jR9uDBaX8rVP11QA0HQUCIjMkDixDGRLU+oQWS++SaBc41Qga3GPvIr/6ndwSoMAJC1dhBvfSbxs85xIAzKug5NuBb8Va9yZHo6IzFEWS65YSQWd7ASQ4xg8G5AUMoRhjUuClnPEL3yP1l1PKwBoMgoERGaAxTKYD4ji2REEGAM+IUk+QxzX7gZj8sdI7XgE93gvANa4RGuuJVzztjlxYzG+j5NqBb8Fi7oYi8jUVVYByoTRLCoJOmoFIEkiDGD9NsI1W4hWXTknrtMyPQoERBrMMrvKhLoOuGGeqJiv3Q0mCvD7nsTb8xTGVpau4yXrCTbdim1fXJtj1IsxOL6Pk2oj8dJYpQKJyDRMZxWgshm4DiVBx0kBIt1OsPoarQA0GQUCIg1lyc6SMqGVzWYxFLKEYY02m1mLe+hn+K99F6ecBSBpXUC46Vbing2zOg3IGINJpTHpNnBTzKKMLRGZg4yBcpCQKZQnvfpbvT6Xs7XdDDzuHoA2wnOvpe3CGygUZv7eJI2lQECkgfKliEKpju3eJ6jaeKaQrdlmM5M9QmrHw7gn9gBgHY9wzXVEa64D16/JMerBOC5uW9tQ/r+HhcqyjYjIFFksmXxIsRxNehXAcyxOWKztZuBTBQCjUoCMnwYKtTmezBkKBEQapBTG5Ioz3yvAcyxOOVu7XNOwhN/7A7x9z2CGPi9auolw0zuxrQum//l1MFiMeG5PgR1vFrhy8zLu3KLmZSJSG0GYkCmWiSa5F8AxVDYD57O1K9tczg4FAD89ZQAgzU2BgEgDBFFCJjezvQIqvQEibGGwNhUnrMU98CKpnY9hgjwASdtigs23kixZP/3Pr7E4sew8WGR7X45X38xX/yzaWge4c8vMjk1E5odsMZz0XgBjwDMxlHK16wysAEAmSIGASJ1FiWUwV5502/hacg1DvQGyNekNYDIHK2lAA28AYF2fcO0vEp17LTizq7zm8WzIT3fn+GlfjkxxJABqb/G4fGMPd205d+YGJyLzQhgnZPKT7wvgOWCiAkmxRmlACgBkkhQIiNRRnFgGcjPbK8BzEpxSjXoDBEX8XY9X8kyHXoqWX0C4cSu2pWv6n18jUWz52f48z/bl2HWoWH3dAOvP7uaKTUvZfM5CfM+hu0PdjEVkaixQKIXkJtkd2HEMXlImKeSIwhqkjCoAkClSICBSJ9VeAVOoGV0LlVSgEJvLEE63N4BNcPc/T+r172HCyoN10tFDsOk2ksVrajDa2jgyGPBMb5bn9+QolEdm17rbU1y+sYfLN/awsLNlBkcoIvNFlFgykywFXakGlGBq1ROgnMXv24a3XwGATI0CAZE6mOleAa5jccMiUSk37VQgZ2A//o6HcTMHALBuinD9TUSrr5wVaUBBlPDyvjzbe7PsPTZSZs8xsOmchVyxaSkbzl6A48ze0qUiMpdYCkFMrhCSTOL66jrgRkXiYm76aUAKACbFOA7G8zB+Gq9z4UwPZ1ZRICBSc5XmMTPVK8A3CZQy0689HeRJ7XwM780Xqi9FKy8m2PB2SHdMc5TT92Z/me29WV7Ym6ccjtxUF3WluXLTUi7d0ENXm26GIlI7SZKQKYSUgolf3x1jcG2ALWQJp5sGpABgYozBOAbjpXH8NNbzwbhYC46vdNDRFAiI1Fi+HJOfgTKhjjF4tkycz5BMpwNlkuC98Sz+ru9josq+gqRzOcHm20gWrq7RaKemFCS8sDfHc3sO8saxkT0PrmO4YM0irn4kkkQAACAASURBVNy0lDUru3BmceMyEZmLLMWhVYDJ7PnynASnBmlAppTF2/0jvP3PjQQAqTbCc68jWnWFAgCodIX3PIyfAjeFdVOAoTpNpP4w41IgIFJDpTAmVwgaflzPASfMERXz07rZOCf2kfr5t3FyhwGwXgvheTcTrbocjFOr4U6KtZa9x8o825vlpX15wlEdOpcubOWKjUu5dMMS2ltmb9MyEZm74sSSLQaTWuV1DbhJiTiXI5zGxMxIAPBTTFL5HAUAIyopPz4mlQYnBa43o2W65yIFAiI1MhO9Agzg2AhTGCAMp5EKVM6Seu0xvIMvAZWJk/jsywjOuxlS7TUZ62TlyzHP786xvTfLkczICovvOVyxeRkXrVnE6mUdGM3+i0gdWGsphTHZfDDhVYDKZuAYyjnCoDTlWWgFAOMzxuA4Lo6fwuvswGltqab8AJr1nwIFAiI1EM9ArwDHMXhxkTibJ5pqEJDEePt+gr/rCUxcWcmIu88i3HwbSfdZNRztBIdjLX2HS2zvzfKz/XniUfvpzlrSzhWblnLx+sWsXN5Nf3++4eMTkdp7qfcYj/xkH8cGSyzpbuHWq1dz0bolMzqmOLEcHywxkJ34tdVzwIkKxNPoCaAA4GTGGBzPxfFbsG6axPEILcROCourh/9pUiAgMk2JtZxocK8Az7E45Uwl77SrdUqf4RzvI7XjYZz8MaCy4SzYcAvxWZdWprUaKFOMeK4vx/a+LP25kVKnLSmXS9Yv4YpNS1m5pLYrE45jSHmOVhREZtBLvcf48qM7cV2HthaPgXzAlx/dCTBDwYClFCZk8wHdCyaWDjm6J8BUNwOPHwC0VzYBn918AYDjODhuJeXHuj4JHiFUZv5r0HdNRigQEJkGi2Uw17heAZVl5whbyEz9hlMcxH/tu3iHfw6AxRCtvoJw/U3gTy2omIoksew8WGR7b5ZXDxQYHUedu7yDKzYt48I1i0j5tSlRagDjGFp8l1TKJeU5uI5RPqnIDHrkJ/twXYf00L/ztO9SHnq90YFAYi3ZQkipHE1okrkWPQFMKYO3e5sCAIYe/v0Uxk+TOCli41bKs+oaXVcKBESmyAKZfEi5Qb0CHANeUiQuTLEGdRLh7XkKv++HmLgSRMQLVhFsvh3btbzGoz21E/mQZ3tzPNuXJVMc+d21pV0u39jDZRuXsmxhW02OZQy4riHte6T9ysP/aAoCRGbWscESbS1jH0VSnsOxwRp0Qp+wkVWAia7sVnsClHIk8eSvxwoAAAOO4+L6KfDTJI5PzKiHf12gG0KBgMgUGAPZQkixPM2OvRNUSQXKEpaLU5odcY6+TurVR3AK/QDYVAfBxncQr/iFhqQBRbFlx5sFtvdm2XWoOOYU1p/VyZWbl7P5nIV47vQrEznG4HkOLUOz/rX4TBGpjyXdLQzkg+qKAFQKLyzpbkwH8Mn2Baj0BAinvCrb7ClA1c2+qXTl4R+PEDMq5UcP/42mQEBkCvKliEIDegUYA56NsIVBwnDyQYcpnMB/9RG8o5WcW2sM0eqrCdffCF79m6oczQQ825vjp7uz5Msjs2ZdbR5XbOzh8k3LWdg5/XE4jiHlOqTTLinPxXOV8iMyF9x69Wq+/OhOylRWAoIoIY4Tbr263j1LJt8d2HNspUxzqTDpju3NvAJgHIPjnrzZd7LXaGsrG7j7DmbYczDLou4Wfu3t56lvzDRNOBAYHBzEdV06Oma+o6jITCqHMdlCUPd5C9eAExeIi7lJ33SIQ/zdP8Lbva1604kXnUuw+TZsx9I6jHZEGCW8/EaeZ3tz7D46srxvDGxa1cVV5y/nvFULp33xdozB9xxa0i5p3x2T768gQGRuGN4H0MiqQXGSVPYCTHQVYHgzcD5LGE1uQubUAcBQFSB3fvY/GbvZN0WCO+nNvtZajg6W2H0gw+6Dlf+yhbETcHdcc05NJpOa2RkDgb6+Pn7/93+fHTt2YIzh0ksv5bOf/SwrV65sxPhEZpUgShhsQK8A3yRQzhKVJ5knay3ukVfxX/0OTmkQgKSli3DjVuJl59c1DejgiTLbe3M8vydHKRy50i/s8Llq0xIu27SczrbpXbCNAd9z6WrzcZM0nuvo4V9kjrto3ZKGbAy2QLEckStOfBXAN1PbDNyMAYDjOjje1Df7Wms5MlAc9eCfJTfOyntb2mPNyi6uuWCZgoAaOGMg8MADD/Dud7+be++9F2st//RP/8Qf/uEf8nd/93eNGJ/IrBEnSd17BRgDPiFJPkMcT3LmKX+M1I5HcI/3AmCNQ3TuFsK1b6vbsnM5THhxb6Xp1/7+kY7KrgMXrO7iqvOXsXbV4mmlfQ7n/KdTLmnfwXcdOtvTlAqNbd4mInNXFFuyhWDCxR1cA05YIMn3k0yiM3AlAPgR3hvPYexbUoBWXTm/AoAxm31bhjb7OhPe7JtYy5ETxTEz/vnSyfe99haPNSu6WLOyizUruli6sBXHGLra5286VSOdMRAoFov86q/+avXr+++/n69+9at1HZTIbJNYy0CuXNdeAa4DblggKuYmNfNkwzL+zsfw9jyFsZWZ+HjJeoJNt2LbF9d8nNZa3jheZntvlpf25QlGlU5d0ulz9abFXLF5Ba2tLZWgaZK/MmMqD/8pzyWddvFdo5l/EZkSiyVXjCiUwgldO4ZLNFPOERl3wkHAqQOA+bUCYMxwvv/QZl/jj+T7n2Gzb2Ith/sL7D6Yoe9AJc+/ME7BjY5WnzUrOlmzsou1K7rpWdCifi91dMZAYO3atTz33HNcdtllAOzcuZOzzz677gMTmU0GcwFhHXsF+CaBUoawPIkOwdbiHvoZ0euP4hczACStCwg3vZO4Z2PN04AK5Zjn9+R4tjfLocGR5VrPNVx0TgfXnL+Uc85aTELloX0yKyejZ/19tzLrP3r4evgXkckwBspBTKY48T4vlc3ABaJSvrIvq+XMZYybIQCobPb1cFItleZexiO0Q3uyTvOrTRLLodEP/ocyFMsnB1adbX5lxn9o1r+nWw/+jXTGQODAgQPcf//9bNy4Ec/z+PnPf05PTw933XUXAP/2b/9W90GKzKTB/MSXkyfLMQbPlonzmcktP+eOkNrxMG7/HgCs4xGtuY5wzXU1vfFYa9l9tMT2XVleeaNANGpFZPmCFNdsWMhlm5eRbm0jTiCexAP7cKWflhYP33VU6UdEaiKxltxQeeeJXFMcA54tk+RzE94MPN8DgHE3+w7P/J/id5okloP9hTGpPuNtyO5qT7F2RVdl1n9FF4v14D+jzhgI/N7v/V4jxiEy6xgDmTr2CvAccMIsUbEw8VSgsITf+wTevp9ght5jVp5Pcd3bsW0Laza2bDHmud1ZtvdlOZ4dOf+UZ7jk3A6u2bSEs1csInFTJIllov10HMeQ8hxa0t5JnX0VBIjIdBgDpSAmmw/GTFqc7uc94koaUFCe0HV4PgcAxnHw0i0T3uwbJ5aDx/LVh/49h7LjPvh3t6dYu3Jkxn9RZ1oP/rPIKQOB3t5e1q1bR3t7+7jfv+CCC+o2KJHZIFenXgHVm08hSxhOMBXIWtwDL5Ha+SgmyAOQtC0i2HQbnesvwg4Wpj2uJLG8fqjI9t4sO94sMPo+umpxmqvO6+ayDUtItXYQ4xJV8n9O+5ljOvt6Lr5vcIwe/kWktia7ClBJAyoSl/IT6tRuShm8vh/h7Z8/AUCluZeDM7TZ1+nqIo7LI3u73vKLjJOEA8fy7D6Qpe9ghr2HsuOuli/oGPXgv6KLhXrwn9VOGQh89rOf5W/+5m9497vfzYoVK8ZEysVikaeeeqohAxSZCaUwJleHXgGOY/DiInEhO6GbD4DJHKykAQ28AYB1fcK1byM691pwpt8TcCAf8Wxflp/2ZRkojFzUW1MOl57bwdUbF3DW8oUkbguxNYQWTjVFZKjkk6aG8/09B88Z29lXD/8iUivVvQCFgGgCuYmTTQM6dQBwPdGqy+dcAFDd7JtKY9001hnZ7Gtxx+ztipOEN4/m6RtK9dl7KEsQnXzfWtiZrqT6rKyk+yzsbExXaKmNUz5FfOYzn2FgYIB169bxpS99CWstxhjCMOS+++5r5BhFGioIYwZz5Zo/sHqOxSlnJl6POiji73oc742fYoYevKPlFxBu3Ipt6ZrWWOLE8uqBAtt7s+w8WBxzrmuWtnDVuk4uXreQVFsHsZMiSDhlExjHmMqsf6rS1df3xs76i4jUw2RWAYwBz8RQmlgakClliHu/S0vvM3N+BeDkzb5vrfRTEcUJew9lq5t79x7OEo7z4L+oa+jBf+jhf0GHavnPZacMBH73d3+Xbdu2YYzh2muvrb7uui7vfOc7GzI4kUYLooSBGjcMGy5HZwsZwnACqUY2wd3/PKnXv4cJiwAk7T0Em28jWbxmWmM5lg15tjfLc7tzZEsjs/8dLS6Xreng6vVdLFvSifXbiB2fILHjBgCjc/3fWt4TNOsvIvVT3QswwVUA1wE3KhIXc2dciR29ApDYGMPcXAFwHAfH8zGpFqwzVOknsWM2+0ZxwhtHctUc/32Hc+M++C/ubhk1499Ft+r3zyunDAT+9//+30Clodif/MmfNGxAIjMlim3NG4Y5hkoq0CluQO7R13F3/xinOEDSuoBk6Qbcg6/gZg4AYN0U4fobiVZfBY47pTGEccLP3qjM/vcdGelUbIDzVrRy5bpOLljdSaq1Deu1Eg0vD78l/99xDC3+cG1/bfQVkfoJ971E+NLDJNmjOJ09+Bfdhr/6IuLEkiuGlIJTrwK4B1/B2/kYbpDDWXgW4fJfIOheddrjjZcCREsHwTnXzZkAYGxnX5/YeGOae4XRWx/8s+MGUj0LWkbKea7oUuOuee6MCcYKAqQZJElS84ZhnpPglLKEQWnclHr36Ov4Ox7GOg7WTeFkD+Kd2FP9frTyYoINb4d0x5SOf3gw4JldWZ7fk6MYjAQh3W0uV6zt5Iq1nSxe0IKTbiNxW0bqQo8arOMYWlIuLb6L7zsYRjZ86eFfROoh3PcS5W1fquyBSrWT5Acob/sSQfRrFBZtOu112j34CqmXvobb3g0dC4j79+Ec3oW7+TbinvNO+nlTHKxUAdr//KgUoA7CNdfRdsH1FPL1qRpXC5XNvu7QZt9Kc68Yp7rZNwxj9h3JVst5vnEkd4oH/1bWruziF87roaczRWebHvybyfR3Gk7B/fffT39/P55XOfwnPvEJLr744pkYishQ1+Dxl5iHZ5ac/HGS9sVEG95OvOLC036eMeDZEJvPnHYzmrv7x1hjMHGIKfVX9wFY16d8+X0kC1dP+lyCKOGlvXme6c3yxvHRFYks7W7C8k645ZLFnHdODybdNm7+f6Wrb6W+f8pzcFTtQUSm6KXeYzzyk30cGyyxpLuFW69ezUXrlpz2PeFLD4PjYfxK7rn1UyRBQvziw8Q3bDzte1N7tuF1LiIpZLDZI5gkBuPg7XxsTCBwugBgeAXAeClgdgUCb93sm4za7BuEMfsOZ8Y8+I8XNC1b2FrN7z93eWf1wX/Ronb6+/ONPiWZYQ0PBKy17Nmzh+9///vVQEBkplgsg7lg3EoI7sFXSL3wVazjYlNtmNIgqRe+SgCnDAZcx+JGRaJirtKZ8jSc/DFMVMIk0dBYDDbdATiTCgKstbzZX+aZ3iwv7slRHtVFs6vFwU/KdLfEdLX6OOkWtvUWSToMa1emqgGAYwy+59CSrmz4VXMvEZmul3qP8eVHd+K6Dm0tHgP5gC8/uhPgtMFAkj0KqUrp8sRaksRinRRO/vgp3zO8F8stDRIVspjSwNA3HEgSnNxR3KOvk3QsPWMAMNuMbPZtHdXZt7JPYt/hgaEH/yz7j47/4L98UVv1wX/Nik7aW2bfOcrMafiTeF9fHwAf+MAHGBgY4D3veY+qEMmMGcydumuwt/MxrOOCN1QRwUtjo3JlZmmcQMA3CZSyhOXSSd8bo5wl9dpjOEEOGErf9Fux6U6wMTbVOaGxF4OYF/bmeW73QfYfHzmm5xguWNXGles6ee6VN4kdh9a2borW50TZki0EPP7T/aw/awG+55BOu6Q9Z8yGXwUBIjJdj/xkH67rkPYr+5vSvkt56PXTBQJOZw9x/gSxkxpJVIwDkvbF4/58pSdAgaiUJ0zALQ9WvmGGShcbg8Xg/+zfMEEeYyszIDbVQbj2OqKzZ18A8NbNvrHxyJci9r45UtXnzaP5k/a0GWD54sqD/9qhGf82PfjLaTQ8EMhkMlx77bV87GMfIwxDfv3Xf501a9Zw3XXXTej9ixdPLV96WE/PxB6y5hOd88mSxNKfKdHWYWg7xc+US/2Qah/TCMU6LVDqp33RSKM9A5ioRFLMkxgHWsb/RJvEJK9vI/nZYxANpe04LibdiUm3QRQCCe6FN9HafYrPsJbeQwW27TjBc30ZwlGz/ysWprlu80Ku3tBNe4uH67o82zdIgs+REkRxjO85LFvYhgXOW7OYlD+1DcizQTP+va6X6V5Xofn+PJrtfGHy59yfC+hs9cZcQz3XcCIXnPKzgjAmuuwOik/8fziE4KUgCoAE7/I7x1x7weKEJZJSloQE/FaSC28i/uHfDwUBFmwC1lZSL8vZyttaOnE23Yiz9mpS3ukfkrtPcS2uB+M4uEP5/tZNUQwtr78xwOv7jrBz3wn2HcqO++C/alkn561ewIbVC1m/asG0ZvwXLRq/iexs1Nnq06XSpdPW8EDg0ksv5dJLL61+/Su/8is88cQTEw4Ejh/PVXbBT0FPTydHj2an9N65Sud8MmMgUwjJn6FrcLplEaY0OLIiABCVsS2LyA/lUboOuGGeqJg/bV1q5/huUju+jZM/BoD12wg23AKpDtw9T1WrBsVrthC3rYa3dArOlWKe351je1+Wo5mRcfuu4YrzurlkVSurFqdxHAcSQyFJE5MiF/oUyhGdbWm62lOVutvFkBbPYXBg+t2IZ0qz/L1u1MPmdK6r0Dx/HsOa7Xxhaue8qCPFQD6orggAlMOYhR2pcT7LUijH5IohScta3IveffL+rI710J8f6c5ezhG/tSdA22rS7T2YwvFq2qWpHgHisy8j2HRrZQUgHwKnvg90d7cxWIOu7acyOt8fL02+aOjry9F34AB9BzMcOJY/aXXWGFi5pL1a0efc5Z20pkce5cqFgHIhmNJ45toegag9Rbk4+XNtxiD+dBoeCDz77LOEYVjtTWCt1V4Baah8KaJwhiAAINrw9soegagMbgriAJPEhBvejgE8J4ZiljAon/IzTHEQf+ejeId+BlT2AUSrLidcfzOkWgGIl24Y972JtfQdLvFMb5af788Tj9rGcNaiFFet6+SiczpYtqSDbLaEm0pX6v8bDwt4jsMdW87l4af3EsYx5VxEKYiJ44S73zH+MUVEauXWq1fz5Ud3UgZSnkMQJcRxwq1Xj90DFSeVlMVSMJKmGa+4cNwUTM9YnLhIXMyPW5LZFAehtRuTPzImAACD9dtxju/G7d8zbgWhRnAcB8f1Mak0hcjQe6hI74Hj9B3IcPD4yQ/+ztCD/9qhGv7nLO+kJaVnJqmdhv9tymazPPTQQ3zlK18hDEO+8Y1v8Md//MeNHoY0qVJYaUIzkbnPeMWFBDBmVirc8HbsWb+An5SIc1mSePz9BSQR3p6n8Pt+iIkrQUe8YBXB5tuwXStOe9zBQsRzu3Ns781yYlTpuhbf4ZJz27lyXScrF1ZWKRzXwWttw7GVAMBxDO1pj7Tv4LsOi7taMFRyco/lJl61Q0RkuoavM6euGmQphQnZfHDG0s2OAc+WSQq5cauxjVQBem5kD0D1zR423Yn1WyAOcHf/uHGBgKFa4rMYu+w6VKT34CB9BwY5dLxw0r3IMYazekY9+C/rJJ2auymcMvs1PBC46aabePHFF/mlX/olkiTh137t18akConUSxAlZCbZNfits1KeA26QJSoVTpkK5BzdRerVh3EK/UClK2Ww8R3EKy6qrOuOd5zEsvNgke29WV49UBgzxnN70ly5rpMLV7WT8iqb31zfw0m1Yf0WTEsHaRvQ4nt4LgwvhA9/xkXrlujBX0RmxKmuP3GSkC2EY1YBxjM6DSh6axoQ4wcASbqDaM31eLufwqZax153HR+nODD9EzvtmCspP8XEpe9IwK6DOXoPZDjcf/KDv+sMPfgPVfVZvaxzTCqVSL3NyPrShz70IT70oQ/NxKGlSU23a3D1ZlTIEIbj5ySawgn8176Dd+Q1AKwxRKuvJlx3A/gt476nPxfybF+On/ZlyRRHbojtaYfL1nRwxbpOlnalhsZgcL0UpqUN46XwfJ+077J0UTvHj6vMj4jMDflyRL4YnnFfimcsTlQkLp2cBlQJAH44VAZ0bAAQnX0ZuD7O4VcxQbaS2jksCUlaF9T8nBzHoRAY+vpD+g4V6T2Y5VB/8aSfcx3D2Us7Rj34d5Dy9OAvM0eJZjLvJYllIFeactdgx4CXlIgL2XFzUolDvN3b8Hdvq25OixedW0kD6lh60o9HsWXHmwWe6c3Qe6g0ZoZo/fIWrlrXxeaz2vDcyiyW4zi4qTSk2vD8NKm0R8uoGSPHUcMvEZm4qTT5mj5LOUzIFgOi6PTXYteAe4o0oIkEAMPiNVsq3dsJwPEhCTFJQrRmS03OKB8k7DkW0Xe0TO/BHIdPnFw62nMNq5Z2VOv4r17aiT+0sisyGygQkHnNYhnIj981eCI8x+KUs0Tl0smpQNbiHn0N/9XvVJeak5Yuwo1biZedf1Ia0JFMwLO9WZ7bnSNfHgkoulpdLl/byRVrO1jUMXITc1wHN92G47fit6ZJ+y7+qFr/IiKTNdUmX9ORJAmZYki5HJ92f9ZwUzDKuUoRhlE/PJkAYNjwPgB394+rldmiNVumvD8gU4zYc7TM7mMhfYcLHBk4uVBE5cG/s5rjv2pphx78ZVZTICDzwugZrhU9Hdxy6Up+Yd0SBvMBwSkahp3O8A3JFjKE4ckVhkz+OKlXH8E9tgsYagrW0l0JApafX/25IEp45Y0823uz7Dk6ctMwBjatrDT92rCiFXfUrL7rebgtbTjpdlrS/ph8UQUBIjIdU23yNVXFICJbmEAakGNxwnxl/9WonzXFAby+H+G9OV4AcDm4p3+MiXvOm/KD/0Au5MU9OXYfLbH7SJmjmZPTQn3XYdWyjmoDr7N79OAvc4sCAZnz3jrDdSJT5OtP9hInCSum0CjJNeDGReJi7uRUoCjA73sSb89TI5UpXJ+kpRuw+DsfA9fnDW8123uzvLAnTykc+YyF7R5XruvksjUddLeN/PMbzv93WttItbaR8j1Snmb/RaS2jg2WaGsZe+tPeQ7HBs/QER0I971E+NLDJNmjOJ09+Bfdhr/6onF/NoorJUFP1bl9mOuAG5dIcnnCeCQNaLoBwFQM5CN2HynRd6TI7qNljmdPngTyXYdzlncOpfp0cnZPB56rB3+ZuxQIyJz31hmu7rZKW/qHn9rHB+48//RvfgvPSXBKWcLyW26K1uIe/jn+a9/FKWUqLzkeid8KqXYwhlLi8lyhh6d/WGR/+UD1ra4D55/dzlXrOlm7rAVnVMqQ4zi46TReSzupllZSvlv9voIAEZlOPv94713S3XJSk68gSljSPX5Bg2H53ucob/sSOB6k2knyA5WvuX9MMGCxQ71aompxBvfgKyc1B7Nn/QJuEkAhTxiOWi1tYABwIh/Sd7jE7iMldh8t0Z87uSxpyht58F+7souVS9r14C/zigIBmfNGz3D5nkNb2uNQf55c4cxNw4YZA54NsfnMyZvTckdJ7XgYt383ANZxidZch7v/Razfyt7yAp7OncUL+eUEduTm2tPlc+W6Ti49t4OOlrFVIRzXwWtpI93Wjp9uwXcNI/0vRUSml89/qvded+Fytr1y6IxNvt5q8KlvguNh/KFO634aG0L40sNDgUClJ0CuMHZPlnvwlUpjRsfFptpwwgJtux4lMBFhx8rq3qt6BwDWWk7kI/qOlIZm/UsM5Md58Pcdzl3exZoVnVyyaRkdKQfX0YO/zF8KBGTOG57hakt7dLal6M+WKAYxCzvTE3q/61jcqEhUzI3JTSUq4+/6Ad6+Z6o3pqhnI+Gmd5Jzu3i5L+InR5dxKBppV+6bmIvbj3H5NZdwzpI05i0bhj3Pw29rI9XeScr3x6wOiIiMNp18/lO999V9A7zvHRsmvcoQDRwBr3Xsi16KJHuUKEnI5UNK46QBeTsfwzoupFpx0+0Y1yXKHoOffRd71ftPEQB0jtoEPLXHFGst/bnRD/5FBgsnjy+dcjl3eMZ/RRcrlrRX92wtWtROf39+SscXmSsUCMicd+vV/z97dx5c13UfeP57zrnrWwGQABeJOyWCkkzJEiXZViTLdrQwieJ0xslk2u0kk6nJ1FT6n9T0VKUq/6QrM5WKq5J0VacqPVOpGU8nnkylE7sTx5Zs2Y5jW7IkSpZEUeIiiZvEDSB24G13OfPHfe8BIAASO0Dh9yk7IR/fve8+kL73/M75nd9vJ3/z3XcJfIfhsRqVekySpDx67/abHuuqFK5PBbIWc/kY3qnnUY3sIZDmuqgfeIr37A6OvjHG2x98QJzubx9ymzvKJwrneSD4EOfuJ0i6J5fZlVI4noefL+LlcrhGakYLIW5uKfn8Nzp2MU0GnY4ekuEBcKdMsMQNbH4TgyOz92gxl49jBs6i/RzKc0mqIyRJAtaiG4O4b//TsgUA1loGxps5/lernOmrTevN0hJ4hj1bi+xpVvXZtikvJZjFhiaBgLjlHdq3GcfRPPfSeYbH6nR35fnkXT0c2Nk55zFTU4GSqRvURq/gnfgWZvgDINsIPL7jEV6I7+bll6sMjl9pv9d3FPdtSfikeoNd6YekYQfJnicmS9YZjRuEBMUiruejlSwvCyHmb7H5/Es9djblT36evm/+n9gIcDxs3MDGEfV9n5szCPDf/gecjm5sANS/TQAAIABJREFUo0YydBVsAl4BldRRcR33w9eAVgDwyIJSgKy1XBuL2jP+Z+cY+Ie+Ye+2Iru3ldmzrcTWrpwM/IWYQgIBcctL05SezpB//cQB4ObLubOmAkVV3Hf/GeeDV1HN4tVD5QN8q/4gr76uSe1Y+/idm30e3Ffk0M48nqOBfUydn3NcQ65QxMvlcVwXa+WhI4RYuKcf3slXnz+94Hz+pR47m/y++/Ef+RLRsWdJRvtJwi6ie36WZNs9M96rgPDMD9AkJKND2LjefNWi66Pt3VCpXyTe+zPEt918BcBaS99o1B70n+2rMVabOfDP+Ya92wrsva2D3dvK9HSGkoIpxA1IICBuaUlqGR6/eafKlhmpQNZiLr6Od/p7qKgCwJjTyd9XHuL1s1vax4We5uO7Czy0v8iWsjfjvEqB53nkSiXcMEQpp3V6IYRYlFb6zmKqBi3l2LnY7fdQ7zxww5KgRlvcq+/A0AXiWmVKY0XbDgCsGxLtf/yGAUBr4N+u6tNXZbw+s7N73jfs3ZZn3/YOdt/WQXdniJLCC0LMmwQCYs0stCze9TWsnUNPM95xgCie+XC4nlYKx9ZJJkZJk+whpkcu4r7zLcxoVuqzgcu3Kof4l9pBUrI0nn1bAg7vLXL3jhzuLCXjjGMIwxA/X8DxfUDSf4QQy2cx+fzzPTa6cIz6K3+LHblKai2Dtsy34wcZLd857X6cpJaBkRqvvHOFH7x+kaGxOp1Fn73bS5y5NMrQWJ2tXTk+e183uzsM9q1nSerVbHXVppMBAJCGXdQf+Z9nBACptfSNRFkN/+aM/8QsA/9CYNi7JWTf9hJ7b++gu6uIRcmkixCLJIGAWBMLLYsXXTg2o4Z17Ud/RXLfr8IsS9NTOcqi43HiaiUrVdeYwDv9PczF19sPqFfqe/lG5X5GbY5CYHhgT4HD+4psLs5sW68A1zPkCiW8fB5tXHkICSFuKdGFY9R+8JdQnyAlG+x3qEE+b37IP41r/t/v1nAcza6tJSaqER+eHeTrPzqDMZrAd7g2WuPslTE6Cj63bwrxqPD9H73NZ3vz3DHyIdhkWgDQSg2KDz4NxiG1livDjXYpz7N9NaqNmQP/YmDY0xOwb2uO/beX6d5UwhqP1GYrrjdpWCyEuAkJBMSaWGhZvOjYs9NqWMfaxeoU5/R3Z81RheaGYGJsdZQoirKZqfNHs70AadbA5mLcyd9VHuJssoU7t4X84t4ivbfl2uXjptJKEQQeYaGIm8thya5dggAhxK0mOvYsRDXQiiQBq7KBukedR80xRot38u2XL/Df/eydAHynec/2nOy+F8Upm4suXWGMGw3j1EZ4lOPsP3W2vc/KorBKoawlUQ4XnV2cHOjh7ImrnO2rTeu63lIKs4H/3ubgf8umAsoLSbVHYiG2wM0XgYUQ8ySBgFgT8y2L10of+rWxD4l1QLlocNI6qjaKSiKYGMBcPj4jGMg2BNdIquOkacrQB2fInXqWzuQaAJXU45vV+3jHHOTjvWV+ZW+RjvzM/zkowBhFmAsJCwW0l8sebsv74xBCiFWVjvVnVXyUxlrbTOVXGBKK6SjDo3UqtcmmjNdGqviORinIBw45BbY+xu0j7/G53DvkqLW3A1g3JLWKD+nhvWgL71U7OFPvomZduDo47TpKoWFvT8DeLSF7t4R0l3yM54PrkyqXuJX2I4N/IVaEBAJiTcyntN3U9KFxU6JAhfHROh1qIpvuV9lsk/fG39IAkm33oBRoG6Nro4yPVzh55iqlc9/nbt5rn/el+n5OdzzCx+7t4cjWcNZSclopPNeQy4V4+QLW8UECACHER4QudpNURoEUrbOVTYUlQTNkC9ST6U0Zu8shtSiiJ6ehMc742CWecF9nb9jXTgGKrOF0tI0f8yhnRhxqycx7a0fO0F10qFerqLjBlo6Ahw6U2L1jM9b4pNohaqb9yA1XXE+1/49YLhIIiDUxn9J2rfShct7jHfUQD499j7ydIMVimlNPNiiDNjinvwvb70EnFd5/r49/fv0KxSuv8qT/JoHKZrUupps5v/Vz7Ou9g0Ph7E29HK0IQpcwl8MJ81jtSeqPEOIjQ6lsY6665yno+0/YuIEhG3hboKFCfpwemtaUUSv4pU9t59v/8jYMDfIA73BneBajspvjWOrzfPVj/Lh+gITp99bOvMPenqCd7jM8WuWFt69QKAW4fonxCP7rGyM8YcrcsSM/beb/1IUhfvTmpfbm5Efv3X7D/jBifbh+sK6az2sFKA1aabTKJtyUUqAmi0up5vuzub7m/7fNP2m9p/lL6QexPCQQEGviZqXtogvHODL2d3TpccZrJV5M7+U7PMq/Us+BBasN1i+ClwOliVPFT944y0unhiiMX+ALuZfZFowAUFMBA7d/mo7eh+jUM6v6KAWuMYShS5DPo9wcVjvZ80iCACHELag1sKqff5P6y/+FdOQKaWoZpIOjwSMc2NnBXqYM0IAUxcloG495b/GF4GW8s13oiwHUJ3BRHMHSbc9nAYCC4TTH89V7+En9jnYAsMmpsN/rZ+ehB9jTE9CZzwouaK3RrsdP3h0jCjqpppr6aIK12Wrwv7xxkTt2dLSv/9SFIf7xhbPtzcmj1Yh/fOEsvwgSDMxhqbPl2SCcyfKr6rrXFajrBvHZwF6hdWvQPjmwnzxOoVBMffzKBNv6IYGAWDNzlbZrVQjqcBIqiYcXj/M5fsjzPMaHdgslVaGjWMJaOBd389LwFt4Y7SLHGX4p9xr3l84B2Ua12vb7sQc+R6cXzvgc59p7eOdfQqcNnK7tmAOPQdc2GfsLIda91kA/q55jSa0lTSyxtSSJJYlTkovHcF7+z1CfIGne2LrUII9Vnyc6aUDXSazBNs+nbcJ9znmS4m04QQ/nhlI+GE/ZpBN6nQ/ZOksA0OnUOFy4zL5giH3BEJ1qDOsVaex5HG002vVRjkeqXRLl8PbF9/E9B6Um77Su0QyN1ad9vx+9eWna5mTPMTSar3/UA4H27LhSzZlvMEo3B9vZ4FsphZ42a56NvLWafo6baQ3IlYKujhCdJoBqD/yxU3593TELJYP/9UkCAbFuKJWVsKu98U1SNF7gUhlr0FAOnoIH7eu8kHyMI/4bfH9wO69M7KSvEWBIeDx4h6fCY/gqBiA1PvEdn8HuenjGZzjG4I+cQV14ERXkSFOPaOBDoh9+Bf+RL+HuPLQWX18IsYFcP1DLymBa0rQ1sAesba5M2ikDfkgTS2ItqU1JU7JVUuyMgZZ/4nmIa6SorJ2Xyj7DVw3yJCRWt1+PrOGSvp0z6XbeudxNJYLHg3d4xD/ZTgEaTnP8pHGA4a0Pk/M0j/ed4jH7ElZpfDfAVxbteCQHn8AtdpIqlwRN2so7spaOgs9oNWoP8AGiJJ22HwFgaKxO4E8foswWMKyFyTSWOUbbauZvVXPZpf1HSqGbA26tFUZns+pGKZTOBvlaZzPp7U3YKzyQ9lyDuX7VfJU+W6wdCQTEmpjaHEwVNsM9TxF130UjTvFHr2G9HL6jKBdgvBpRjw0DSUhffh//e9+W9uxWr3uR/7ZwlC41CmQl8FRYxqJxzr+MzXWR9tyB0QrfM/iugxsE1E+dJEGR1iqARRkXm6ZEx56VQEAIMedA3VqI4oQ4SUHRHoinWKzN/rw1YLezFLm3UwbtqbXZr9MpWYjNP2/+Z0n0xAAqTbNrbw3oUGgSIgxnoh7eT7ZyJtnKhaiLyBq69BhPBG/xcO79dgBQST2u2TIlNc7T4THOd+ziG++6aLOJF/QD3GfexzMpcXk75o5HiHoOTg7+r/sWj967nX984SwNsoF9lKTT9iO0dBbnFzDcyPV/h2pqnvmU9yjVylvPBuNag9KKUs4jjeLJ902ZdW+lvNzws9vvVzN+Di3zGWDLIFysJAkExKpSqpmz+sJfgXJITYgdH0K9+FWi+36VdNs9pPlNqNoIOD41k+On6TZeHt/KUBLC+DgA27wJ/k3X69zeOAM0J5ucABuWMY4DSQpJA//CT/D33oPrOKggRDkhVjtEV98DLz/9Ru54WUk9IcQt5/oxmW1VnlGTg3M79XUmZ9mvH7y3fp+0BvfXDdQTpRkcrbV/v17HaWl+E7o+irYptdRwPtmcDf7jLVyIN03b2Nulx3gifIuH/ckAIG2mhYS6wU49hLUpVmm6zj3PXv9BhsI9jHh38530EIPVFHdQ8T90995w5HpgZye/CDfdBPzovdv55k/OkVqL72gSa/FdzecO78BzzeSM+dSNpUwO0HUzJ336v4tWnrqadXB+/WUX8x61yhJWINqz6ev1X4gQEgiIVZJaSyNOqdVj+Ok3AQPGy/7Q8bFxvd0crL7/c7z38r/w0sROTlS7s6Xrpv3dLp/vOMGOoVdQjWymJuncjZoYwPr59gMArcDJoYnxi2VwAyymfdvXxW7SiWFwp8wuxQ10sXt1fiBCbGDXD87StDkz3hyszzrL3np78z3NX04buKeQDVYt1x3TnGWfctxStAKK1WQuH8c5/V30xABpfhPxnT87azPF1vuisWHeTXt4f+Je3mtsnjHwbzngXOTp8Bi7nf52frlFYZ0QFVeZ/CnarKljaQs6cTms+vgv0ceojSUkaYK1lrF6fNPvoYDeXZ0c3NXV3lSqtcJRGuNkA3St4BP3bGVTR8ALb15mYLRGd8Hn8Y9v5+49m7KrWerfoQzOhQAkEBArRCmIE0uUpNTrCfU4IU0t5vJx/GtnwKZgXKxfwnohGI/BkQovvHKB1043GKscbp8rVA16cjEHvKs8od/EG8jSgFK/SHTgSdJtd+Mf/c+YxjjK8XGCgNQ0B/iOj3XzM67PPXSE+gt/hY0Ax4O4AWmMe+jIavx4hPhIsFjS1FJrxMRJOi2vfepMuyX7n3xrUyuWbLY9nT7Ibw/O1vEs+1owl4/jvfG3WbU0L4eqjaCO/g3fSR/hzcpWOos+n7h7K+MfvsvQuVOcje7gUtJJyvR8b4Vli1sh7yvuvi3gkfgn+EPvt6daavhMdPVSTofRtRHSoIAe70f7eXSuRBoUsFZT6R/Gi/uZMJMD/zjJ+sC0Z+QVOEZjTLbJdWrO+7RfNy9xtnH5Pbs3cc/uTdNeW6/j91bzy9mq4AmxnkkgIJaNxRJFlkaSUG8kJEnzod/Ufpg1S4mRJiSVEY5VtvKTiZ28W9sEVy613+8YRTEw7HGHeCR9hf3qKkSQKk2y6xMkd3waP8zhuQZ192eI334eHZZQnkc6NoytT+A/8qVZrzXbB/Cl9j4FXezGPXRE9gcIsQATtZiJakSqDYOjtXU7SLvVOae/i9UGnGyCo5YYhqqajuQ8jbiHC33jnLn8bvPdB6YcadnujXNnR4Pd99zHri5DGA3jvfNNdP9kAGDdHNH+x0lv/zihdmgAKDCOQ/D2P2Irw6SNKkn/eVQaswnNNVXE9wyhb7I3W8uRh3eyqRRgTDazv1Hy36c2v8wFDsMTDb76/GkACQbEuieBgFi0uWb959J+mAVlro4l/KR2B6/WdzNhJ7sJl/IeDxzo5lLfGE59mPsaL3O/Oo3jZF1mziU9nOp4hF944DCu0VlFBaPR+w8TFTfTOPYsyeAlVH4T3uFfvuHA3t15SAb+QizRlIIwYoXoiQEqTpGzEx28V+3g1HiJK0kJiwYmZ+UVli1mlJ3uELvz4+wp1MjZCmUmqBX34Z76EebiG+0e6VZprBuCdrFhR5b6oxTG8bKKasajtuNhvJf/H4gqWdolYGzKJi/iLucir49tpSPv8uRDO9tpO7Cx/j20ml/6bpZ65buGevN1CQTEeieBgFiwOEmzfP9GQhyn02b9byQaG+aNaBcvjW3nXK3cfl2T0rvF5fDH93NgRweeSvjxf32Rw9ErlEwVyDatDaoSb5sDXKmEeMagjEEHOaybw6Jwbr8b5/a76e4u0t8/tiLfXQghVkO1HnPuyhhnL49yrv/TXKznp+2Xgmzg7zgGzzVUqhH/U8eP2V5OsSYkrVdIJioQV7CBJvjxn6NsNqFilcb6Bayba9ZtbuBeeAVz+yF0mMPxQ1yjs5n98mEqx/+BdLSebd4wLios4yrNkfxJ/pt//fm1+PGsK9dGauSC6cMpz9FcG6mt0RUJMX8SCIgbatX2j5OUepRSj2KSZGa96hu5eG2CoyeucuzKz1JLJ//JbXKqPFz4gMObxgg+9zsYDWbwLPr1v+ez8RnQ2axSTXmMEmKShE/pNzhRLGHyJawbzngwCiHErahajzl7eTT776VRLg9UpuyTKADZpMnt/hi3qz52O/287/Zy0d1J6BmiWoXT6gDbq0eJ6gNZ+UuqeDpGNbKzWKWbmzVSVFQFbTC5EtrrRNmYYOuWWVN6bFTF3XQ7SZJOvmatVFlr2lwOGJ5otFcEIOuWvLkc3OAoIdYHCQTEDFnKTzbrX68nNJL0hik/s6k1Yt58b4CjJ/u4dG2i+aqDIeFQro9PlK+wz+3D2ITonl9DxWOYY99An32xPWtVw6NqHWqJhzIO5DsxvuFwcD6byRJCiFtUpRZx7soYZy5lg/8r0wb+Ga0Ut/fk2bOtxH5/kH2DPySs9jPudPDtibsYC3ew3UmZGBtlfKTC8STAeDv5dPAOBeqTjaiUxjoBKqo2p04UynHRrovyQtJGFbwAxex5/brYja2PgnInX5Qqa21PP7yTrz5/mjrZSkAjznojPP3wzrW+NCFuSgIBATQH/3FKPUmp1ReW8tNireXC1XGOnuzjrTMDRPHk7FF3R8iDvT0cLl2jfP5oVgIv103a+wRmoh/zyldQ9axHAPku/I//ItErXyOJPRwvj3J9bFTDT2L8iZHl/OpCCLHixqsR5y6PcvZylu5zZbAy4z1GK27vLrBne4k924rs2lLEa88y70TrjxPZhDBtcN+FPo6+fYmBviq1RkKPX+Fh5yQH1Xl0sw9Agsb4ISoooSYGQBuUcTG5AlYp0uoEdnwYlSvjHf5Xc167e+gI8UtfxdpUqqzNorUPQKoGiVuRBAIbmKU58x8lWb5/ki5qg9dELeL109d49VQffUPV9usOMXf5l/lk8RIH/GtwxYerisrYGP2qi3ONHg784G+4TV+bPJnSYBys1uS27SFMYmyaYhs18DU2itB5mYUSQqxvY5XGtBn/qffGFqMVO3paA/8SO7cUpnXShazMprYJOm1w7lwfrx6/xLXhKqW8x+HeHvZ2JJz5wT9y0JxHN9cUJlSeU/4h7qi9STEsNxsnanSxC0VKUhnBRs1GWUrjP/KlmxZWKHeEXPvh15atytpHrdzmoX2bb+nrFxuXBAIbSCvlJ0osUZxSr8ckdmH5/i2ptZy5NMqrJ/t4++wgyZTUoW1miPv8CxzyLtCjhiGBpJ7DrQ1jtSENe7itdo090TlUq4Y0oNCgDCaJSU/+AL3nMPE7PwBtZBZKCLGujVUazRz/bPDfPzxz4O+Y5sB/W4k920vs7CniOnrG+5QCoyw6qWNrddKowekPh/n+Tz9EG4XnGXR9CPXmCwT6PHeb7P5bUXlO+B/jFHsZq6Vs12copimm2Alak0wMYWvNlVfjZvsF1MzPn01+3/1USncs/gc0hZTbFGL9kEDgIy5Ns46+UZw0m/4sbuDfMlpp8NNT/bx6qo/B0cnW675ruO+Ozdxz8e/o1RfQyqKxpCisVRhbQ+dK2DShNPFhlqeqmqsSVoEy+IUS2s+R1sZJBi5iHB//kX8jtf6FEOvO6ESjvbn3zKXRWSvEOEaxc0sxG/hvK7GjpzDrwB+aHXYVGBtBo0oS1YmmbM599WQf2ii6dIX7eZs79Ln2CkDslXg5PsA76W5M7BI1Uzv9jz2Bc+1V0kadtFGHVhCgW49+BUGR6Nizq3pflXKbQqwfEgh8BFnIZvyjhHhwgqGxpTX6SVPL6Q+HOXqij1MXhpi6b3jXliKHe7v52N5NhNdO4F4+R6oUKRpDjMFigzyO65NWRiBNUGTVgFJAA06Qw4YlVBIRj16DNAGbko71S61/IcS6MDxeb8/4X7g6Nmuqj2s0O7dmM/57t5e4vbuAY248424UaGJUXCet14jSePa2yhODfM47yZ2cm5YC9Dp38eQzn2fnpTHOv3mJobE6WzcX+JnD+9m5ZxvRhR6iY8+iaqNZH5dWpTVtUGEZ3GDVq/9IuU0h1g8JBD5CGlFKPU6ylJ/UYgE/9BYdBAyN1Xn1VB8/PdXPyESj/XrOd/j4nZs53NvDls7J6j3O6e+SKIOyNnvWuAHGz5PWx0nGJya7WFqI0BjXw+RLkMTEo/0kQNZv3oIyUpFCCLFmhsfr7fz+s5dGGRyrz3iP62h2bSmyt5njf1t3/qYDf8jy/o2NUUkj69gbx9g5btSqMoh75kd8yXuzHQCkKMZUgRfsvQzn9qCMQ++OTnp3dqH9AOUXsCqbbZ86mVL5pz8mnRhGuX77/Daqr/q9VsptCrF+SCBwi2rV92/EKY1GQi26cVff+YqTlBPnh3j1ZB/vfTgybWJq320lHuzt4a7dXbM+7PTEALFbxE2r6CCPSuqk4wPZ9TI5yWWNg58vo5WmMT6MjhvtMnfY5oPBD2QvgBBi1QyN1ZoD/6yqz9AsA3/PzQb+d+/bzNaOgNu68xg9vxx7rRRapVnef7VGEjewN7hntwIAc+nNbHKFLACopB5jqY+jUj6lXifauTU7v+uiggI4/pyTP+6hI9Rf+CtsxJruu5Jym0KsHxII3EKmlvhsLLK+/1z6h6u8erKPn57uZ6I22bK+mHN54M5uHujtYVNp+myNuXwc5/R3s1Kg+U0QFAhLAXF1HEYvZxvRmLrKrTC5Yla3ujJGvV7BYrBK4xgDSZQ1uum6Df+hX5WUICHEirDWMjQ2Zcb/8ijD440Z7/Ndw+6txfbm3u2b8xit6OrKMzg4McuZp1MKDBZtI2jUZuT9z3rMLAEAYQeRVYxWGjRsVss/RqOJKQ8cw+Q/0+6wPmtaUVN2T/3Smu27ii4cIzr2LHvH+vlfNpX5XuVuXq9s/UhUDRLiViWBwDrXyvdfrs2+U0VxyvGzWdOvc5fH2q8rBQd2dHC4t4cDOzsxemb3XnP5ON4bf5vlnIYlXAOkCem1c5h4ciatdanKC3FyJWxUIxkbgCTGae6OU4XNKC/MlsYbExS+8L8tzxcUQgiygf/AaC2b7W8O/qemO7b4rmHPtmK7nOe2TflZ7383osgyHHUaoRpVkqhBlCQ3P27WAKCMd9dncXY/QN/f/xGJ9toPbe16mNxmkloV6+bnfX1rte8qunCM+gt/lW1U9vLk4grPeD/hC5+5celSIcTKkkBgnVEqK80ZRSm1KKHRSBZd4nMulwcmOHqyjzfevUatMfmA6ihkdakfuLObcsG/wRmy/QC4PibXAVqTDl2EiSFUc+jfvlztYfIFtDIk40PYNGHyy1hUYRPKC7PfLqBTZWtmSaoJCSGuZ61lYKTGmcuTOf6jlWjG+wLPtCv67NleYltXDr3AgX/LZN5/nbRaJUmSOfP+p5otALBhB+7Bz+DteSDrqg4MpXnyukqqfZx8CbRLWhniSt2hZ1FXvLqiY8+Cdib3J7g+NmLVKxYJIaaTQGAdaNX3b8Qp9UZCI16+lJ+WeiPh2PvXOHqyjw/7J5e0jVYc3NXJgwd72HdbGa1u/hBUClwboQqbSMb6YawflWbpRBaFdQJsUMJJquigiK0OE9ean2k8IIVcB9TGQOnsYbmAXNXrZ5bSieHs98jMkhAbkbWW/pFae7b/7KVRxqozB/6h72Qz/s3B/9YlDPxhaupPA1vLUn9ulPc/7diJZgBweWoAUEYfeJzcvgfbAUDLe/49POS+g/XyVGsNVG0QQ8Lb4We4Fe566Vg/eNetXDjeqlcsEkJMJ4HAGoqTlHqcUqvHi+7qeyPWWs5eGuF7L5/n2PsDNOLJ3NTN5YAHe3v4+J3dFEJ3XufLmtyk6LhGogxcPolOsuX17NJVtlcg7MBxNKoKyfg1SCb3HLQa2ChtcO77BdLLJxc8qy8zS0JsbNZa+oarkwP/y2OMzzLwz/lOO81nz7YiW7py85rsuBmFxSVGRTWSRm1eqT/tY2cJANKgDHd+mvCOB3HMzPux0pq7P/1ZvvdCkXtHXqPDjjBEkRfTQ3zyZx5b8vdZDbrYTToxDFMqFi1kFVgIsTIkEFhljWZ9/3qjWeJzmQf/ANV6zOvvXuPVk31cGay0X3eM4mN7N3G4t4fdW4vNtvM31w4AoipJdRT7/ouogXNTVgEgy4xVGMdgd9xHeu4lVFSfEgSorEOwTdEd2/Ae+pXmoP3zC/5+MrMkxMaSWkvfUDbwP3N5lHOXR6cVNWjJB047zWfvthLdneGyDPxheslPxqsk42PzSv1pmSsASPY/RrD/MIHn0a7x3z5ItcuB7isZJmzAt17exbWR2i23wXa9VCwSQkwngcAKmlris95IqEcJtlnff7lZazl7eYxXT/Zx/OwAcTL5KVu7cjx4sIf79m8m9Of/Vz4ZANRI6hMkV9/FO/EsupKVBLUorFLZQ80L0Z3bsSjSS8cJHvwV0uPPkQwmWYMw42A6b1uWXH6ZWRLioy21lquDlXbX3nOXx6jUZw78C6E7bXNvT0c47wmO+dBaoW2CThvTSn4mTm7eQUAWAPwQc/nYtAAg3vcYZvfHKeZCzCzXrF0PFRax2m0/Mw7t2zznwP/Y+9d47uUL6zZIWOuKRUKI2UkgsOwscWvwX0+IlrHE52zGKg1eP32No6f6GJjSldFzNffu28znHt5F0dMLejgqBQ4pKq6S1CvE44O4J7+N03cSAKsU8Y6HMFdPYL0cKixggjxxrYJt1DBxlWD3vbD73mX/viAzS0J81KSp5crUgf+VUar1mek2xZw7bXNvdzlY1oF/s5AZ2kaoJMbW6qRJRJTeuOTn9c5eGuXUifc5WH+TA+bCZCOwoEy07zHOOXt59+IYV0+8Sxg4PLHy1XT6AAAgAElEQVSzypbBn5JODGE6tuEfegp2HMrKgc7Dsfev8dXnT2OMJhc4DE80+OrzpwFuGAysdtEF6RQvxPojgcAyUQrGq9Gyl/icTZpa3rs4wtGTfZw4N0Q65cN29BR4sLeHj+3bhO+aede7hqzhjSFGNSokjRpp1MA5+wLu2R+304CSzl00Dh7BFregKwM4rsEqh2h8BGyKsRGmtLIz8zKzJMStLU0tlwcm2s27zl4enVbBrKWU99jbzO/fs73EptLyDvyh2eiLtFnrv04aNUjS+VX8mc3FsxfQJ7/PL6kLaJOdY9TmGL/9U3Te/QmujtR55c1LVOspjlGUK+dxT7xGLZ8j7NoOaUr1J/8fvlXzvqc99/IFjNHtTr2+a6g3X58rEJCiC0IIkEBgWVUbMXG8chHA8Hid107189qpvmnNb0LfcN/+bh482MPWrtyCz5vlvjZQjSpxo4ZNLabvFMHJ59DVYQBSv0h04AmSrfeAUhjHgXuOkL7xNdIkBuNh0ghlk1WZmZeZJSFuHUlquXxtol3O89zlMerRzIF/Oe+xt725t0RXyV/2gX82669QrZSfqEE6z1r/NzxvMwVo36VjaJ09B8bI8zp38Y7dSddogS8WcnzzpQ+p1BLc5qD945xE50rU/DJhEmOjOtiFFT+4NlIjF0x/nHuO5tqUVeLrSdEFIQRIILDuJWnKqQvDHD3Rx+kPh6etNOzZVuTB3i3cvacL15lfm/uptFaYNILaRLvsnZoYxD/1HKb/XQCs0sS7PkG07zFwsoey4wekfpFauAlz9+dxTn8XUxnAlLtxD/2cPESE2OCSNOXStYlm594xzl+ZfeDfUfDYs63UHvx3Fpd/4A/NWX9lUWmEihukUZ00yQo2LNVsewBGyfM6d/MuuzGuS1foUK3GeI7m6lClvVfL8xy68jkmYk19aJCOzc2JnAUWP9hcDhieaLRXBCArTLG5HMx5jBRdEEKABALr1sBojVdP9vHTU/3T6mEXQpf779zM4d4eNpfDRZ3bKDBE2NoESaPRruPvnv0xztkXUTZ7YCeb9tLoPYItZEvL2mhMWCQ2YXvfQ7LtHpyd91Iq3rgBmRDioytJUi5cHWvn+J+/MjatXHFLV9Fv5/fv2Vakszj3QHUpWrP+2saoNMI26qRxRJqmi075mfEZEwPNKkBTNgGHHbzUOMCb0e04jkc+dPFdw8h4ncDLBumdRZ9KPaFUylNXIddGIYgGcbQ3efIFFj94+uGdfPX509TJVgIacUqSpDz98M45j5GiC0IIkEBgXYnilHfODXL0ZB9nLo22X1fAHTvKHO7dwsFdHRi98Nl/AKMtJo2w1Qpx3AwArMVcPYF76tvoWvaZaVAm6n2KpKc3e6IqcLwA/CKR1dMa5jiOolzw5vpIIcRH1If947xy4ionzw/zQd/4rDP+XSU/y/Fvzvh33KRj+VK0cv2VjZuz/rWsu+8yF2tQEwPEJ79BcP71dif1NOwg2vsoyfZ7KV+ZQB+/TDHvYdOUa8NVkjTliQd3APC5h/bwrZ9e41JFkyQRP47u4kn7I0oBC26u2NLaB7CQqkFSdEEIARIIrAtXByscPdnH6+9eozqlRF457/HAgW4O9/Ys6QFqNJikRlqpEMVRq/A/arwf7+RzmIEzAFhtiHd/imjvo9BsatNaBUh0QGKvP6+ioxAsW51uIcSt4epghX//fx+dkVqzuRxMmfEvUc6v3CSBUqABTTJl1r9BkqasRI3m9grApWPYZj2fqQEAOpvx793ZSVfZ50dvXKJ/tE5n0efRe7dzcG8Pxsux/86tPG5K2aB9osFQeT+NfdsI+19cUvGDG5UWnY0UXRBCgAQCa6YRJRx7f4CjJ/v4oG+8/bpWit5dHTzY28Mdt3eg9eIG2VkPAIuOJlATA0TxlBrccR33/X/BOf8yymbL93H3nUS9T2FzXe23Ob4PQZHImhlVkJTKAhVnkdcnhLh15QKH7Zvz1KOE3VuLfOyObrqLPqUVHPjDlAo/xBDXSaP6isz6TzU1AGitAJDvpL77Z6YFAEYrcoFD4BpK+Q72b+/IjjcaHeSxTo60OWky+6D90RX7DnORogtCCAkEVpG1lkvXJjh6so833xuYtpS+qRRwuLeb++/spphb/MO0XQI0rpHUq8T4JK0gwFrM5bdwTz+PrmfBRxp20uh9mrTnzvY5lFY4YYHECUnSmQN9BRTzHt6UjWlCiI2jmPP497/1EOO1iPFKtKAyxQsx16x/tEKz/tM+e2Ig2wR86a0ZKUD5g5+kMlZvv9f3DPnAndYYTCmFCnMoL4dF7pVCiPVJAoFVUGvEvPHuNY6e7OPyQKX9umMUd+/p4nBvD3u2lZaUYmOaTXCoV0ijBul1DXDU2FW8E9/CDF0AwGqHaO+jxLs/BWbyn4FxXVRYIsLBztFDJxe65H1nRXslCCE2prWY9Z/qRgFAawVATVkFyIcuvqNhSvMv7TW7Ait3peMVIYRYEgkEVoi1lvNXx3j1ZB9vvT9IlEyOqns6Qx7s7eHjd2wmF7iL/gylwGDRaZ20ViGJ4xkVMWyjinviWZwLR9sPtXjLXUQHnsSG5SnnUjhBjtTLE82yCtAS+IZC6EoQIIRYFms56z/tOuYRAEwVeA65wJm+CmA0JiiSusG8uwILIcRakkBgmU3UIl4/nc3+9w9X26+7jubQvk082NvDjp7CkmplZ+k/STP9pzJ7IxxrMZfeJH73e7itNKD85iwNaPO+6eczBpMrEWu/XRZ0Nr5rKOc9ebwJIZZkrWf9p5o7AHiMZPuhGQGAYxSlvEtN2clARSm076P8IqmSNCAhxK1jTQKBb3zjG/zFX/wFcRzzG7/xG3zxi19ci8tYVu+cG+Tbr3zA22cHp1XSuK07z+EDPdy7fxOBt7Qft1ZgbIRqVEka9RnpPy1q5BLeiWcxIx8CYI1HtO8x4l2fmPlQ87OyoA2r4QYPYdfRlAseSsIAIcQCrZdZ/2nXNHEN9/0fYS7PLwBQCkLfIec7hL5LbSLr7q6MwYRFrBvISqkQ4paz6oHA1atX+bM/+zO+9rWv4Xkev/Zrv8bDDz/M/v37V/tSls2Pj13m//rWifbvA89w7/7NPNjbw/bN+RscOT9GgbENbK1CEjXmbojTqOC++32cD19rD9fVzvuo7vkMNihNe6vSChMWSE1uRlnQ6zla0Vn0pEyoEGLe1tOs/1RqYgD3/R/OOwAAcB1DPnRwp/RwUVqjgxzWy5Oi1iygEUKIpVj1QODFF1/kE5/4BB0dWWm1p556iueee45/+2//7WpfyrIphC6eo7mtO88DB3q4Z28XnrP05WGtwLGN6Q3AZmNTnA9/ivvu91FRlo6UFnpoHDxCcc9d2JHKtLcbx0GFZWJ18w2/WivKRR+tFtfETAixMazHWf+pZl8B6GzuAZg9ANDtkqDO5FqoUmjXRxdCrJbsWiHErW3V72J9fX10d0+2MO/p6eHYsWOrfRnL6r47NvN//K+P0z9SJY6X/sSbrAA0Qdy4QQAA6OEP8E48ix69DIB1fKL9nyHe8SDM0oHY8QNsUCRK9U0fzq1eAa6RIEAIMZNS4GjQSR03Hl83s/5TzZkCtO8xkm2zBwCQ7YkqhM60SRDtuqiggFPahK2Prcr1CyHESlr1QCBN02kbZa21C9o4u2lTYUmf391dXNLxNxIrRTJHyc35UFhUXMfWJ0jiCAIDQTjre21tjOTYs9hzr00ev/sBnENH8ILp37FczqGUwoQ5rFeYdzWLYuhSWkJH47W0kn/P69FG+76wMb/zSlnofdWmCWlUxxmu4NQniMdSci7grmxDsYWwo/0k73wP+8EbtJc+812Yuz6Ls+t+/DkCAKUgHzjkAzf7DVkqpfYL6DCPagYGG/Hfn3znj76N9n3FGgQCW7du5dVXX23/vr+/n56ennkfPzAwfsPKNjfS3V2kv39lZnGUgqFFrAhMKwFan8iaf93oFGmK88EruO/9ABVnDW3S0jYaB4+QduyAOlCfTAUql3OMVyJUUCKe0Njxyhwnni4fuvjK0l9tLOj7rAcr+fe8Hm207wsb5zuv1kN5PvdVRYqKG6RRDRs1sGnKRCOiUo0pl3OMjMzv3rLSshWAH2IuH587BWhKM7CpfMdQyDk0qpZGNcrSgDwfFRSxMTCRNU3bKP/+ppLv/NG3Ub6vBDvTrXog8KlPfYr/+B//I4ODg4RhyHe+8x3+8A//cLUvY81d3wF41hKg1x8zeC5LAxrvA8C6IdEdnyW+/X6YJYdfKYUThkAh6w0wzxgl8KRXgBAbnVKATVBxRBrVSJuD//VqzgBg36M3TAGC7H4cBg65KZXdpBqQEGIjWPVAYMuWLfzu7/4uv/7rv04URXzhC1/g0KFDq30Za+ZmHYBno2qjuKeex7lyHMjG8/HtDxDd8VnwcrN/jutms1h+mbg5izUfrqMpSa8AITYkpYA0QSUN0kYNG0frevAPNwoAHiPZ9rEbBgAAjtEUcx6Obt71lEIHIcovkHLzvVRCCHErW5OSB8888wzPPPPMWnz0mlAKjLLoZO4OwLNKE5zzL+G+/y+oJAIgKd9G4+DPYcvb5/is6R2CF/IMM1rRUZAyoUJsNMqm6Lh2ywz+AdT4tawR2CJWAGCyL0Den+zurl0XFRax2pPxvxBiQ5DaZytIa4WxC0v/aR977X28k8+iJwYAsF6Oxp1PZK3u5xioZx2Ci8Q6WPA+CqWgXPAxs1QaEkJ8tNnKMHF99rz59WbuAGB+KwCQdQfOBx6ek93vlNHooIB1w3kXUxBCiI8CCQRWgFFgiJoNwOoLKqWnqsO4J7+D05c1KLMo4p0PEu3/DLjBnMc5vg9+6aYdgmf9TAWl/ORDUQixscxrhXKNLUcAoBQEXtYdWCuVpQH5AcovYNXSe78IIcStRgKBZZTl/9dIaxXi+ab/tCQxzrkXcM/8GJXG2Uudu2gcPIItbpnzMKUVTlggcUKSdHEzWfnAJeffvLmYEEKsthsHAIdm7Zcym/YqgJvl/bd6AuD4cu8TQmxYEggsA0WKalRRE0M06tGCj9d9p/FOPoeuDgGQ+gWiO58k2XbPnGlAAMY4qFyJSLnYRab0hr4jFYKEEOvOZADwVjtZZzEBQGsvQM53UCiUbqUB5bKwQu59QogNTAKBJVA2hqhKWq9i0zTrAbCQ4yuDeCefw/S/C4BVmnjXw0T7Pg3OjRt5OX4AfpHILr6qhecaSnn35m8UQohVslwBAGQVgfKhi2e0pAEJIcQsJBBYMItKGthGdXpd7YVk5SQR7pkf4Zx9EWWzDcTJpr00eo9gC5tveGjWG6BA4i4+FQiyZfJy3kPJxjghxDqwnAHA9RWBJA1ICCFmJ4HAPGVdNeuk9Uqz++8inibWYvpO4p78Nro2AkAalIgOPEWy5eAN04CgVRWoRKS8RacCQVbNKKsQJEGAEGJtzRoA5LqI9rY2AS+siIFjFPnQwzO6mQaUw7p5rJp/U0UhhNgoJBC4AaWAJMbGzfSfZPGjbzV+De/ks5iBMwBYZYj3fJJoz6PgeDc9flpVoCU8zJSCct7DNVIhSAixdtR4f9YI7Mrx6wKARxe8AgCTFYHyQbYXQHseKixhlTzmhBBiLnKHnINSYKsjpPXa4mb/W+I67vs/xDn/Eqo5jZ9svoNG79PYfNc8rkPhhHkSN88S4pC2Qs7DdyU/VgixNuYOABa3AgCtikAunmtQWmOCIqkbSE8AIYS4CQkEbiRJFh8EWIu5chz31PPo+hjQzHftfYqk58C8TtFKBYqVv+AGYbPJBQ55X4IAIcTqW+4VALiuIpDS7c3AqWwGFkKIeZFAYAWosat4J57FDJ0HwGqHaO/PEO9+BMz8fuSO60OuSCM1S1uRaApcQzG8eQqSEEIsp5VYAYDr9gK4Llo2AwshxIJJILCcoiruqX/G+eAoqvk0int6iXqfwoYd8zpFlgqUI3ULxMuQCgTgOIpSwbvZXmQhhFg2KxUATO0ObLRGhzmsV8jSgCQIEEKIBZFAYBlYmxKf+ynuG8+iGhMApLlNNA4+Tbp5/7zPo43OUoF0sCypQABaQUchQEsUIIRYBSsVAAAYrciHLr5r0I6HyhWxSnqhCCHEYkkgsETJ4Ic0Xv9H0oELKMAal2jfp4l3fQL0/PNUHd+HoESUauwyBQFKQbngMzFWW5bzCSHEXFYyAADwXUM+dHEcM70zsBBCiEWTQGCRbH2CxvHvEL//Cq316GTbPTTufAIblOZ9HqWbDcKcpTUIm3FeoJjzyAWuBAJCiBWjxvuJ33mB4IM3pwcA+x4j2br0AEBrRS5wCD0H7QWooCAlQYUQYpnI3XSBbJoSnz1K461vQ6MCgCpvwb//FxkNb8Mm85+jMsZB5UpEyl1Sg7DZ5EKXfCB/vUKIlZGOXIXjzxNcPI4lm3xYzgAAwHUMhZyL6ziYsIh1A9kMLIQQy0hGiguQDFyg8dN/IB26mL3g+nh3P4Gz/5MoY2ABM++OH4BfJFpig7DZBL6hELrywBRCLLt05CqNd75H8sFb0KrUX9hMfc/PLFsAoBSEgUPe99BBmJUEZfnvlUIIsdFJIDAPtjZO49izxOdea7/m7H4A79DTqKC4oHNlVYEKJO7ypgK1uI6mlPOkjY4QYlldHwAAUNhEfc+j5A88RGWsviyf0yoLGgQ+KixitSfjfyGEWCESCNyATROid1+gcfx5iLLZft2xHe/+z2M271rw+Yxx0LkikfKWPRUIsooaHQVPKgQJIZbNbAGAKm7Gu+tz1LccJKlb1AIKI8ylVRa0kPMwYWszsNzLhBBiJUkgMIf40ilqP/oK6fDl7AUvxLvnKZy9D6EWsfTdSgVqrEAqEIBWinLBxyzDsrwQQtwoADA7DqG0od6IgHjJn+VoRT7nEeZC8ItYLY8mIYRYDXK3nUV88R2q3/xy83cKZ++DeB97CuXnF3wurTUmLJCYkAXsI14QpaCYd/EcCQKEEEsznwBgOfmeoZgLcPMl2QwshBCrTAKB2SgF2qC7bse77xlM1+2LOo3j+hAWiHBW9OGWD11y/sp+hhDioy0duULjne9PDwAKm/HuXpkAQGtFIXQJi0XZDCyEEGtEAoFZONsPUvzv/wJq46RRY8HHZxuC86RunngF9gJMFfoOhUCCACHE4tVf/Tr1kz9m5grAvYtKhbwZzzGUSiFOroQ1voz/hRBijUggMAflLK5SRWtDcKx80mXqEDwXzzWU8i7IhjohxBIkl08CdsUDAKUgn/PIlztANgMLIcSak0BgGRk/IHYLNFLNSk/RO0ZRznsoeZAKIZZI5bvwez+7YgEAZKWNy+UCTq4sm4GFEGKdkLvxclAKE+aw2iGOVn6RW+tWhSAJAoQQSxc8/j+Sxkuv/jObbBUgpNBRBjeUNEYhhFhHJBBYImUMOlcCxyepVVf+8xSU8h6ukQpBQojlsVKrAJ5jKHaUcQtF7AqVThZCCLF4EggsgfZ8VFjCKrNqCTqFnEfgLm/1DiGEWE5aKcJ8jkJnB2hPVgGEEGKdkkBgEZRS6Nzqd77MBQ55X4IAIcT65bouhc4yXpgHZOVSCCHWMwkEFki7brYKoN1V/VzfNZRy3qp+phBCzJfSijBfpNBZQqnVvT8KIYRYHAkE5ksptB+ggiJ2lWe5HEdRLkgQIIRYn4zrUeou4weB1DETQohbiAQC86CMxgRFrLf6FS+MVnQUArSSx6sQYn3RxpDrKNG1dQtjY7W1vhwhhBALJIHATWjXQ4UlUu2sesULpaCc93GkTKgQYj1prpD6Th5jHILAlUBACCFuQRII3IDyA6wTrkn3SwUUcx6eK5vthBDrh3ZdVFDAGl8eIEIIcYuT+/gcrAWc3Jp9fi50yQeOlN0TQqwLymh0kF/1amlCCCFWjgQC61DgGwqhK0GAEGLtKYX2fZRfxCopXyyEEB8lEgisM56jKeU8mW8TQqy5VhoQji8TE0II8REkgcA6YrSio+hJhSAhxJpSWqODHNbNY5Va9UIJQgghVocEAuuEVopywUcr2RwshFgjSmWV0oIiVsvjQQghPurkTr8OKAXFvIvnSBAghFgbyhhMWMS6gaQBCSHEBiGBwDqQD11yvlQIEkKsDe0F4ASkaEkDEkKIDUSmoNdY6DsUpEyoEGINWS+PlceBEEJsOHLnX0OeayjlXZAaQUIIIYQQYpVJILBGHKMo5z2UBAFCCCGEEGINSCCwBrTOKgQZLUGAEEIIIYRYGxIIrDKloJz3cI386IUQQgghxNqR0egqK+Q8fNes9WUIIYQQQogNTgKBVZQLHPK+BAFCCCGEEGLtSR+BVeK7hmLorfVlCCGEEEIIAciKwKpwHUW54KFkb7AQQgghhFgnJBBYYUYryoUALVGAEEIIIYRYRyQQWEFZhSAfR8qECiGEEEKIdUYCgRWigGLew3PlRyyEEEIIIdYfGaWukFzokvdlL7YQQgghhFifJBBYAYFvKIQu1q71lQghhBBCCDE7CQSWmedoSjkP2RUghBBCCCHWs1XPXfn617/On/zJn7Bp0yYAHn/8cX73d393tS9jRRitKeddqRAkhBBCCCHWvVUPBI4fP87v/d7v8Qu/8Aur/dErrhC6aCWLLEIIIYQQYv1b9VHrW2+9xde//nWeeeYZ/t2/+3eMjIys9iWsCGvBNRIECCGEEEKIW4OydnW3tP7O7/wOv/Vbv8X999/Pn/7pn3Lp0iX+5E/+ZDUvQQghhBBCiA1vxQKBZ599lj/6oz+a9trevXv5yle+0v79yMgITzzxBK+88sq8zzswME6aLu6Su7uL9PePLerYW5V854++jfZ9YeN85+7u4qp8zlLuq7Bx/j5aNtr3BfnOG8FG+b6rdV+9VazYHoEjR45w5MiRaa+NjY3xla98hd/8zd8EwFqLMWalLkEIIYQQQggxh1VNas/lcvzlX/4lb775JgB//dd/zRNPPLGalyCEEEIIIYRglasGGWP4D//hP/AHf/AH1Go1du/ezZe//OXVvAQhhBBCCCEEa1A+9PDhw3z9619f7Y8VQgghhBBCTCH1LoUQQgghhNiAJBAQQgghhBBiA5JAQAghhBBCiA1IAgEhhBBCCCE2IAkEhBBCCCGE2IBWvWrQUmmt1vT4W5F854++jfZ9YWN+55WyHD/Ljfb3sdG+L8h33gg22vcVoKy1i+8rL4QQQgghhLglSWqQEEIIIYQQG5AEAkIIIYQQQmxAEggIIYQQQgixAUkgIIQQQgghxAYkgYAQQgghhBAbkAQCQgghhBBCbEASCAghhBBCCLEBSSAghBBCCCHEBiSBgBBCCCGEEBvQhggEXnvtNb7whS/w+c9/nt/4jd/g4sWLAIyOjvLbv/3bHDlyhC9+8Yv09/ev8ZUun2984xv83M/9HE8++SRf/epX1/pyVsyf//mf8/M///P8/M//PF/+8pcBePHFF3nmmWd48skn+bM/+7M1vsKV8cd//Mf83u/9HgAnTpzgl3/5l3nqqaf4/d//feI4XuOrW17f//73///27jWkyfeNA/h3OVdJxYo8RIWhplGQBUFqkUfMNedSOmgwCwtUJM0XLY0ICkFfSBpFByoqot4IHlDSDHFkGoriKwsSSa1YS7EDHtrx/r8ITCnoL7/Z9Hm+n3d79rjnuri3r1y7N4a0tDRoNBqUlJQAkMcaL3RyzFVAHtkq11wF5JOtzFWaJmQgNjZWvHnzRgghRFVVlcjJyRFCCHHp0iVx+/ZtIYQQNTU1oqCgwGM1utOnT59EbGys+PLli5iYmBA6nU709/d7uiy3a29vF0ePHhVWq1XYbDaRmZkp6uvrRXR0tBgeHhZ2u11kZWUJk8nk6VLdqqOjQ+zevVucO3dOCCGEVqsVvb29QgghiouLxePHjz1ZnlsNDw+LvXv3CrPZLGw2m8jIyBAmk0nya7wYyC1XhZBHtso1V4WQT7YyV2kmye8I2Gw2FBQUYMuWLQCAsLAwmM1mAIDJZIJOpwMAJCcn48WLF7Db7R6r1V06OjoQEREBtVoNHx8f7N+/H01NTZ4uy+18fX1RVFQElUoFb29vBAcHY3BwEIGBgdi4cSOUSiV0Op2kev/69SsqKiqQk5MDAPj48SN+/PiBHTt2AADS0tIk1e/z589x4MABBAQEwNvbGxUVFVi+fLmk13gxkGOuAvLIVjnmKiCvbGWu0kySHwRUKhX0ej0AwOVy4fr160hISAAAfP78Gb6+vgAApVKJFStWYGxszGO1usvMvgDAz88PFovFgxXNj82bN0+H9ODgIBobG6FQKCTd+8WLF1FYWIhVq1YB+H2tfX19JdXv0NAQnE4ncnJyoNfr8eTJE9k8vxcyOeYqII9slWOuAvLKVuYqzaT0dAHu1NjYiNLS0lnHgoKC8ODBA9hsNhQVFcHhcCA7O/uPfy+EwJIli382crlcUCgU07eFELNuS01/fz+ys7NhNBrh5eWFwcHB6fuk1HtVVRXWrVuHyMhIVFdXA5D+WjudTnR3d+PRo0fw8fFBbm4uli1bJumeFxrm6i9Sf73NJJdcBeSXrcxVmklSg4BGo4FGo/nt+MTEBHJzc6FWq3Hz5k14e3sD+Dnxjo6OIiAgAA6HAxMTE1Cr1f+6bLcLCAhAd3f39O2RkRH4+fl5sKL509PTg/z8fJw/fx5arRZdXV2zvpwopd6fPn2KkZER6PV6fPv2DZOTk1AoFLP6HR0dlUy/ALB27VpERkZizZo1AICEhAQ0NTXBy8tr+hwprfFCxFz9RS7ZKqdcBeSXrcxVmkkab9P8xdmzZxEYGIjKykqoVKrp49HR0aitrQXwMwh27do1/c9sMYuKisKrV68wNjaGqakpNDc3Y9++fZ4uy+3MZjPy8vJQXl4OrVYLAAgPD8e7d++mtz4bGhok0/v9+/fR0NCAuro65OfnIy4uDqWlpVi6dCl6enoAAHV1dTlhPAUAAAPPSURBVJLpFwBiY2Px8uVLfP/+HU6nE21tbUhKSpLsGi8mcstVQB7ZKrdcBeSXrcxVmklSOwJ/8vr1a7S0tCAkJASpqakAfr5jdefOHRQUFKCoqAharRYrV65EeXm5h6t1D39/fxQWFiIzMxN2ux2HDh3C9u3bPV2W2927dw9WqxVlZWXTx9LT01FWVobTp0/DarUiOjoaSUlJHqxy/pWXl+PChQsYHx/Htm3bkJmZ6emS3CY8PBynTp3CsWPHYLfbsWfPHmRkZCAoKEhWa7zQyDFXAXlkK3P1F6lmK3OVZlIIIYSniyAiIiIion9LFh8NIiIiIiKi2TgIEBERERHJEAcBIiIiIiIZ4iBARERERCRDHASIiIiIiGSIgwARERERkQxxECDJycrKwtjY2H8+p7OzE8nJyX+9XlhY2B8fq6WlBSUlJQAAg8GApqYmfPjwATt37vzrYxIRLSTMVSJpkvwPipH8tLe3u+Wc/yo+Ph7x8fHzfh0iovnGXCWSJu4IkKQUFxcDAI4fP46uri4YDAbodDqkpKSgtrb2t3PMZjNaW1uRnp6OtLQ0xMTEoLKycs7XraysRGpqKvR6PVpbWwEA1dXVyM7OdlNnRESewVwlki7uCJCklJaWorq6Gg8fPsSRI0dgNBqRmJgIi8WCw4cPIzAwcNY5q1evhtFoRFlZGTZt2gSLxYLY2Ng5/5T8hg0bcPnyZbx9+xYGgwGNjY3z1CER0b/FXCWSLg4CJEkDAwOwWq1ITEwEAPj7+yMxMRFtbW2zPkuqUChw69YtmEwmNDQ0YGBgAEIITE1Nzel6GRkZAIDQ0FAEBwejt7fXfc0QES0AzFUi6eFHg0iSFAoFFArFrGNCCDgcjlnHJicnkZqair6+PmzduhVGoxFKpRJCiDldb8mSXy8ll8sFpZIzNhFJC3OVSHo4CJDkeHl5Yf369VAqlWhubgYAWCwWPHv2DFFRUdPnOBwODA0NYXx8HGfOnEFcXBw6Ozths9ngcrnmdM2amhoAQF9fH4aHhxEeHu7epoiIPIi5SiRNHK9JcpKSknDixAncuHEDJSUluHbtGpxOJ/Ly8hARETF9jsFgwNWrVxETEwONRgOVSoXQ0FCEhIRgaGgIKpXq/77m+/fvcfDgQSgUCly5cgVqtXq+2iMi+ueYq0TSpBBz3asjIiIiIqJFjzsCRH9x9+5d1NfX//G+kydPIiUl5R9XRES0uDFXiRYG7ggQEREREckQvyxMRERERCRDHASIiIiIiGSIgwARERERkQxxECAiIiIikiEOAkREREREMvQ/OGdEhM3l3ZIAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 778.459x720 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# This adds col for time and row for sex - now we will have a 2x2\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\",\n",
" col=\"time\", row=\"sex\", data=tips)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Controlling the Size and Shape of the Plot\n",
"\n",
"Size can be controlled by creating a figure object"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a20fe7ac8>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize=(6, 6))\n",
"sns.regplot(x=\"total_bill\", y=\"tip\", data=tips, ax=ax)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a214af6d8>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Size and shape are controlled by FacetGrid with its 'size' and 'aspect' vars.\n",
"# This applies to the facet, not the overall plot \n",
"\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", col=\"day\", data=tips,\n",
" col_wrap=2, height=3)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a215f7160>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Size and shape are controlled by FacetGrid with its 'size' and 'aspect' vars.\n",
"# This applies to the facet, not the overall plot \n",
"# some variations of the col_wrap and height\n",
"\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", col=\"day\", data=tips,\n",
" col_wrap=4, height=4)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1a21750400>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Aspect affecting the shape\n",
"sns.lmplot(x=\"total_bill\", y=\"tip\", col=\"day\", data=tips,\n",
" aspect=.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting a Regression in Other Contexts\n",
"\n",
"kind=reg can be used to show linear regressoin fit on joint axes in jointplot"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x1a21b7cef0>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x=\"total_bill\", y=\"tip\", data=tips, kind=\"reg\")"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.PairGrid at 0x1a21b95ac8>"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Nifty complex application of pairplot with kind=reg with pairgrid used to show multiple relationships between \n",
"# different pairings of the variables in a dataset\n",
"# Note: x_vars=['total_bill','size'] against y_vars['tip'] and aspect, height forcing everything into a multiple \n",
"# facet plot\n",
"\n",
"sns.pairplot(tips, x_vars=[\"total_bill\", \"size\"], y_vars=[\"tip\"],\n",
" height=5, aspect=.8, kind=\"reg\")"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.PairGrid at 0x1a22023a58>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 634.459x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Get additional categorical variables involved with the hue parameter\n",
"sns.pairplot(tips, x_vars=[\"total_bill\", \"size\"], y_vars=[\"tip\"],\n",
" hue=\"smoker\", height=5, aspect=.8, kind=\"reg\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Visualizing Linear Relationships\n",
"\n",
"Takeaways:\n",
"\n",
"1. Functions to Draw Linear Regression Models\n",
"2. Fitting Different Kinds of Models\n",
"3. Conditioning on Other Variables\n",
"4. Controlling the Size and Shape of the Plot\n",
"5. Plotting a regression in other contexts\n",
"\n",
"These built upon other methods but we saw how adding keywords and variables to methods allowed expansion of the complexity of the plot without adding it to the code. This is the great power of Seaborn and ultimately its utility."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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