{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear Mixed Effect Modeling\n", "\n", "\n", "```{note}\n", "This chapter written by [Todd Gureckis](http://gureckislab.org/~gureckis) who adapted it from Gabriela K Hajduk and the University of Edinburgh [coding club](https://ourcodingclub.github.io) tutorial on Mixed Effect Linear Models and the [mixed models](https://www.kaggle.com/ojwatson/mixed-models/comments) Kaggle notebook by [OJ Watson](https://www.kaggle.com/ojwatson). The former is release under CC BY-SA 4.0, the latter under the [Apache 2.0](http://www.apache.org/licenses/LICENSE-2.0) license. The text is a mashup of these two resources with various editing to connect to the rest of the book for the current class. The notebook released under the [license](/LICENSE.html) for the book.\n", "```\n", "\n", "The goal in this chapter is to introduce **_linear mixed effect_** modeling (aka LME). Linear mixed effect models are among the most useful in psychological science. While previous chapters explore the virtues of linear modeling (e.g., linear regression), this chapter deals with a very common scenario where different observations might fall into various subgroups. For example, we might have data that are trials in an experiment which are grouped into which subject they came from. The subjects might be grouped by which condition of an experiment they were assigned to or how old they are. Linear mixed effect models are an useful tool for analyzing these types of data because they help to minimize the number of independent tests that are performed across groups (the multiple comparison problem) while also helping to ensure that the data is not broken into many small group (lowering power)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "hide_input" ] }, "outputs": [], "source": [ "# import modules needed\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "import numpy as np\n", "import pandas as pd\n", "import sklearn as sk\n", "from math import sqrt\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "class Caption:\n", " def __init__(self, fig_no, text, c_type='f'):\n", " self.fig_no = fig_no\n", " self.text = text\n", " if c_type=='t':\n", " self.c_type = 'Table'\n", " else:\n", " self.c_type = 'Figure'\n", " \n", " def _repr_html_(self):\n", " return f\"
{ self.c_type } { self.fig_no }. { self.text }
\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## An case example: Bounce time from a website" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rather than starting with a bunch of equations and terms lets just start with an intuitive example. We will start by analyzing a dataset (from Kaggle) that looks at the bounce times of users of a website with cooking recipes. The bounce time is a measure of how quickly someone leaves a website, e.g. the number of seconds after which a user first accesses a webpage from the website and then leaves. The phrase bounce is like when you are at a party and the cops show up: \"let's bounce.\" \n", "\n", "Most websites want individuals to stay on their websites for a long time as they are more likely to read another article, buy one of their products, click on some of the sponsored links etc. As such, it can be useful to understand why some users leave the website quicker than others.\n", "\n", "To investigate the bounce time of the website, we chose three locations in 8 counties in England, and got members of the public of all ages to undertake a survey/test questionaire. In the test we asked them to use our search engine to query for something they want to eat this evening. The search engine listed our website first, as well as other websites that would be returned. The users that clicked on our website were then timed and their bounce time recorded. We also recorded their age, and made a note of the county and location.\n", "\n", "We have been asked by the website to work out if younger individuals are more likely to leave the website quicker.\n", "\n", "Let's begin by reading in the data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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bounce_timeagecountylocation
0165.54852016devona
1167.55931434devona
2165.8829526devona
3167.68552519devona
4169.95968134devona
5168.68874747devona
6169.6193827devona
7164.4162738devona
8167.5104308devona
9179.6060687devona
10174.46548540devona
11164.78124838devona
12172.55946723devona
13179.0007747devona
14175.97040918devona
\n", "
" ], "text/plain": [ " bounce_time age county location\n", "0 165.548520 16 devon a\n", "1 167.559314 34 devon a\n", "2 165.882952 6 devon a\n", "3 167.685525 19 devon a\n", "4 169.959681 34 devon a\n", "5 168.688747 47 devon a\n", "6 169.619382 7 devon a\n", "7 164.416273 8 devon a\n", "8 167.510430 8 devon a\n", "9 179.606068 7 devon a\n", "10 174.465485 40 devon a\n", "11 164.781248 38 devon a\n", "12 172.559467 23 devon a\n", "13 179.000774 7 devon a\n", "14 175.970409 18 devon a" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# read in our data\n", "data = pd.read_csv('http://gureckislab.org/courses/spring20/labincp/data/bounce.csv')\n", "data.head(15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, there is the bounce time in seconds, the age of the person, the county they live in, and there is a location code for the place the person was recruited inside the county. Let's take the approach of kind of exploring the data with descriptive statistics and plots to get a sense of what is going on." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "
Figure 1.0. Histogram showing how many seconds people spent on the website.
" ], "text/plain": [ "<__main__.Caption at 0x11cde2128>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the distribution of the bounce times - this creates the object that will be plotted when matplotlib.pyplot\n", "sns.distplot(data.bounce_time)\n", "plt.show()\n", "display(Caption(1.0, \"Histogram showing how many seconds people spent on the website.\"))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "
Figure 2.0. Histogram showing the ages of people who took part in the marketing study.
" ], "text/plain": [ "<__main__.Caption at 0x11ff0b048>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the distribution of the ages\n", "sns.distplot(data.age, kde=False)\n", "plt.show()\n", "display(Caption(2.0, \"Histogram showing the ages of people who took part in the marketing study.\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we carry on it is often a good idea to **scale** our independent (explanatory) variables so that they are **standardised**. This is useful as it means that any estimated coefficient from our regression model later on are all on the same scale. So, for our dataset this would be the age, and let's create a new variable called **age_scaled**, which is the age scaled to have zero mean and unit variance (the z-score):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# lets use the scale function from the preprocess package within sklearn\n", "from sklearn import preprocessing\n", "data[\"age_scaled\"] = preprocessing.scale(data.age.values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We discussed z-scores in a previous chapter including how to compute them in python. Here we use the scikit-learn package, a machine learning toolkit, which has a helpful scaling function built-in [see here for full documentation](https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.scale.html).\n", "\n", "This scaling won't impact the statistical findings in our example but you may find in more complex models than the one in this tutorial this can be very helpful in speeding up your models fitting. It is also makes comparison between a continous variable like age, and a binary variable (0, 1) more fair." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "
Figure 3.0. Histogram showing the z-scored ages of people who took part in the marketing study.
" ], "text/plain": [ "<__main__.Caption at 0x1204c2320>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the scaled distribution\n", "sns.distplot(data.age_scaled, kde=False)\n", "plt.show()\n", "display(Caption(3.0, \"Histogram showing the z-scored ages of people who took part in the marketing study.\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple Linear Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thing we might want to do to see if the bounce time is dependent on the age is to plot this data, and then fit a linear regression to the data:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SyFgsnXNcPe0qPGqHZ1KYZ+phSz/fjsJitlFnfNt3HJo2V7N1mrnn37ERmy6ThbP4uY9LqjrD4yksCxRZmtG8kM9G3tSgMDyuomqGVy/2PMPTcOeZet/S15pXjwxM23I72/ipFNoN9EXjbN9xiLt/uH9GbTMf7vmXJTEbrtXU4AMmFz/3cWMxFdO0MEy7rc/ohIpuWHnNC/mSaWRZYkl7qG53FR61w9Nw55nzMfbXzZMvnig5LC3fbmAioZFMG9MENpTmdFzb3cHJ/nGee+UDVM1AABqCMgGflLP4ue/TwHACy7JjgWVJRDcsxuPqNLssFE6muckTsOclnsCdYwptn8/lh28mk8HAcIKAUpoN2y28DMNkLJYmrZtIov23oEhle/wP90bZ9+YZmsI+OloCjMfTxFM6oxNqTpQCTJo2vvHgL1A1AymTfSEKYFgCujHdnny+L6geuXgCdw6Z7xCw+aDYNXe1hRgcSZRkw3bmaNeLvZwdTiFLIgIgCALDEyoAoYBSltNxauJHc9hPwC/T0uDj7pvX5/2MJAmgg2lZdpYxgJB5PQ9ztaDWW4q2x3RqKnAfeughnn32WQCuvvpq7r77bn7yk5/w2GOPIQgCl112Gffddx8+n48jR46wbds2YrEYGzdu5L777kOWz631oN6zumpBsWvecs0qfrDr9ZLrV6zt7mDvgVN0toXwKxIDwwl0w0LAYjyhEQooZTkdK0n8WNrRwJnhBMm0ga6byLJI0CexqC1U0nfWgrlYzMsR6J7wz0/NnGb79+/n5Zdf5qmnnmL37t289dZb/MM//AOPPPIIO3fu5Omnn8Y0TXbs2AHAXXfdxX/9r/+Vn/3sZ1iWxRNPPFGroc0b8x0CNh8Uu+aNl3SVHZbmPqft3LILw+i6WbbTsZIKcddvWo4ii7Q2+lkaaaC10Y8ii/Pq6Kx1PHc5zs18sceFjj3fqJkKGYlEuPfee/H5bG9vd3c36XSa//7f/zvhcBiAnp4e+vr6OH36NKlUinXr1gGwZcsWvv/973PzzTfXanjzQjVCwBaa5lDKNZe75XafM+iXaWsKMDqhYlmU3T2hkgpx9WiXrUaK9ky/rXKcm+fjTq5UaiZwV69enf3/yZMn2bNnDzt37mTlypUADA8P8/jjj3P//fdz9uxZIpFI9vhIJMLAwEBZ39feHp72WiTSWNnga8QXrlvDw08exjBN+0eoGWDZr5cy1lePDLDzhRPIskBz2EcspbHzhRM0N4fYeEnXjJ978sUTDAwn6GoLseWaVTMeX01KueZy79PUc/oUkbamALdvWVv2dV0baaS5OcSTL57g7HCCzhLn59pII9d+9MKC78/1b29xJMzIeJKAa2FLpXUWR8Kz+m2dHVf5de8Qb70zhC+j1TcEFcBOQBmJpaedfziWpjEoIwiTNu1Cx843sxmPZVk511gKNTeSHj9+nNtvv5177rknK2wHBga47bbb+PznP8+mTZs4dOjQtM+VeyFDQzFMc9JLHIk0Mjg4MauxV5sVHSFuunbVNC1iRUeopLE++eIJ2zkj2qFIkiiiCwY/ee4oKzry2w/dtr2AIjI4kuAHu16fs7jPYtc89T6VosHPdh7zjfFbN67NeW02v535+O1de8USHn/+GLph5Wjq116xpKSx/OS5o9N+W7G0yr/+23HaWwL4ZBFNNzk7mqTNMAkFFFTNoDXsm3b+trAvb4JKvmPnk0rvk2lZJNMGTU1B2prKS1CqqcA9ePAgd955J1u3bmXz5s0A9Pb28gd/8Ad86Utf4tZbbwWgq6uLaHTSvjM4OEhnZ2cthzZvzMZjXU4IlUM9bO9KveZyHD/uczpC+sfPHauL7X25VMNMNFszRz6TRFI1MC17F9HaFGBwxI4/Ho9rSJJY0PQy14X85wKnQl1CNUiqOqZpEQ6Xnw1aM4Hb39/PHXfcwYMPPsiVV14JQCwW46tf/Srf+ta3+NznPpc9dunSpfj9fg4ePMiGDRvYvXs3V111Va2GtmApJ4TKod7LL7qpZHGohne+kvKMAZ8ElkVKM2cl5MsZf6kp0JWQz9auGSZKJsW5ISBjNAUYi6loujGjrbwebdyVY5HWLZKqTiqtz7refc0E7iOPPIKqqnzve9/LvnbDDTcQjUZ59NFHefTRRwH41Kc+xTe/+U0eeOABtm3bRjwe59JLL+UrX/lKrYa2YCk3hArqo1ZDqVSyOMxWgy9V4LmPEwToH4oDAq2NvpKFfD6BWer4ax32lU8rlUSBUEDJHhP0y4iiMGOMssNCT+axgLRmEE/paLpRtcYiNRO427ZtY9u2bdNev/322/Mev2bNGnbt2lWr4SxonAd1OJYRnJZFIqWXpDnMxfauWpETlSwOs9XgSxV47uMGJlQEQQQsJpI6i9p8ZWviAyNJ/v7JN9EMe8ve1KBkhVu+8dfaNJRPK/3oJZ3se/NMps6EcF7U+bCw7bOJlIauV79907mVWXAO4n5QG4My8ZSOYZh86brSnF613t5VU/OqZHGYrQZfqsDO6TxhmIiCkI39LfQZN9Pq7ibSmSaS9vncmXL5xj8XpqF8WunKxU3sPXCKkVia1nB5IXcLCcM0SaYNkikdw6xdnzxP4NY5+QLay9Vsarm9q6bmVcniMFsNvlSBndN5IlOwBkCWi3eeONwbpff0GKZlochS5oEWEAULC7tdejFn1HybhhZGq87y0QzTts+qBuYcNCT1BG6dU+uA9noYn5t8i8NM43dX+0qldQI+mes+sqzqiQ/u4xpDCsPjKUCgMSjn3Wo7Y3b6lzmPspqe/L8k2vV0mxt8RZ1R8+H5n7q7Opdqf6Q1k8GRZLau8VzhCdw6Z7aaTa2dLbXWvIr1HFuzvGWy2pdsp+nue/MMKxc3VdXkMvW4xe0N2SiFqULSSYOVJJG0ZmJaVt5tqmFCWBFLckbNdmGphGrsrmpFJUqEhR0PHE9q6LpJqyLNqbAFT+DWPW7NphLHRa2dLZVqXm5HoE8SCoZYucefSGlMJDWwyPYce+ZXpwgHFUKByq+vHK26lCiE3r5xBKA57MvYe8HEfuAd8wGAAKTSRkn3NKeMZAULSyWUu3uZq7TzcpUI07JIOY6wPCU05xJP4NY5bsFTruNiqu2wqcFH0C9X1dlSid3V/cCIRUKs7HFajEyoqGkDsBcep+eYYVokUlq2QwPM3plUya7gcG+UR585QiptoOkmArbAkiURy7KyZgRFErO2QkkUi8a0Ouw9cArdsJhIqOiGiSzZmnEttc1ydi9zWXq0FCVCEGz77K/fGeKFV96nfyhBa6OfT1y+hIuXt87q+3XD5Oh7Iyzuair7s57AXQA4mlU5qYjOAyAIAgKgGxbD4ynamgKIolDSlr9UjaVcp5z7gTk7kpwxxCqgiPQPJ3FneuuGhZJxVimSiG4YOeefrUmjkl3Brp+fYCKhZf/OdOqx27q7jtN0EwRbmEmSmBW2xTLl+qJx4ikNQRARBWHGLhPlUug+l7O7msuMxkKa91BmcU7r9iL85jtDPPXSO3Zau19mPKnx9L53+SyULXQty6IvGufg24O80RslqRp8+srCtTQK4QnccxTnAWgO+xieUBEyJQxHJ1SaM1ryTNRKY7G17nFMy0KWRbRML7GCIVaCU+JbRBCsaTa3oF8inrRm1ZBxqsA5HY3T2ujPOaaY1tw3lMjryTczrXic9+wryQheYM3ylpLm2d4KC2SaTMzYZaIcSrnPpeyu5jKjcarmLQoCoiSwZFkTwxPpbKLCi6+dRjcsYqk0hm4iySIBReKlN/pKFrgTiTSvn4hy6O1BBkaS2dfF8kq9ZPEE7jmK8wAImR/leMJ2FFgWJRWuqUYG11StCcho3WS1P9PKxLWKQt4Qq1TaoK0pwERCwzRtgSWJYJp27VtFFtl85XKOnhqtyHaYT+CkVINxMU1zeFLoFtOa3XZZXHZasPuetWQE+HjcFghpzeT//d01Jc9zKV0mKrGhFjNVlLq7msuwNUfz1kWB5gYfgigQS6RZs7yVtDa52xkYSZJM6wjYAtI0TOKGmVPkKh+6YXL01CiH3h7k2PsjuA/vbA2yvifCutWVKR2ewD1HcT8AoYCSre7U0uAryfFz7P1RFFmkOewn6Ld/JqVqLId7ozy65ygpVccwTcbjaR7dc5SmoGxvoxv92bAqSQTDtBAs8oZYOdfRlemmkEhpjMXSWJaVY/v8bIXzlE/ghUMKsaRGIGPvLkVrFkXbrmzrobksag9lq98F/TJWJlNwbXcHP37uWEmaYbEuE5XuSKplqpjLsLW13R3IksBLh/vpG4zjU0SuWbeUngtytVbDsMCy7w3Y98UwLfv1KViWRd9QgkNvD/LGiSgJVc++F/RLrO3uYMPFEZZ2NJRdydCNJ3DPUSp5ANwPrSJLdgZUxu4b9Mslayy7XuwlnkwjCCKSaLcejyfTxJMaSyP2D7atKZDR9iwkUWBxWzBviNXU63DMJNUqL5lvK9wYUjAMeyylaouL20OcjsbBsrVbR9N15r6Q5leqZujMQ75F4HBvlH94+jeomp7jHC1lR1ItU8VcFKx5690hXjrcz0gmsmXjmk4+9/GLCh4/uSvIaLiW6/UMsaTG68ejHDo2yJnhRPZ1QYDVy1rYcHGENctbsz6D2eIJ3HOUSh4At7bX1KAwnOmiMBZTbQ2uRI1lYDhBvofYNK2s8An6ZYJ+GcM0CQeUGeNPy72Ocigk8JZ0NBQt0OKQ0zpGAMECRbYdNZ+6Yoldj4D8C597QdF1g/G4Zm/tRYHDvdGcBI988wC2mSalGUgZDdVZJAM+qeiOpNyGmDNRq4xGQYC33h3mf+87SSqtYxgWmmEWdYB1tQaJjqdIpe1dkySJBHwy7Y1+fnNymMP/9wRv9g7lZJhFWgJs6Olk3eqOnMiXauEJ3DlmLlvklPsAuLU9p5DKeFxD1QzGY2lkScj2yJr5vAKCkKshCQJZoe0WPlgUFeKzfZBnmvPZboXdu4KO5gBjsTSGadHZEuDGT65ibXdHth5BoUw5sKMczo6ryJJIe3MA3bSmmQTyzcP2HYcyOxI7JdjW5ATG42lE0U9HcyB7/X3RuF1cXBJYmmkBX08NMd33qbMlwA1XrmDV0hYSKZ2f7nuX0ZiKT7aTMHyyRBpmdIB94vIlPL3vXZoafCiSSDKtk0zp9A8n+fFzx7LHBXwSl6/qYH1PhGWR2ZkMiuEJ3DmkXtukOz/0sVia8XialkbbbhsKKGi67WRoCvvwyWLeMU8VaE0hmdG4hsmk1mRZsLgtyI2fzO3U8IXr1jA2lmD7jkPzUlxnthp0jg04Yy93tPaZBKWbtd2ZTsQWuV0SKG4ScBbJppC9I3E0VS2zcDhRELphEU9pgK3RnhlO8Pjzx/jYZYsYGk+VZa+uBc598ikSna1BBFHgX1/s5ZNX2LbZsyNJAv5ccaVIIiOZoj/5uHh5K9eldf7t1Q84O57MyfYTBLj0wnY+fGErl6xoq5rJoBiewJ1D6qH7wlTcAqk5rDAykWZoLElbkx0nGk/phENKwTHnE2iaCT5ZwDBtJ4UkCgT8Ulbjc1/re9FETRehUuZ8Nhp0PhuwXym+lc93HkGAgYnJaIHGkFL0PI5JJLsjSWhouklAkbnl0z3Z659IqBnH2GSLmIBf5uip0exx81ks/N9e/YDWpgAhv10RLxFPo2oGv3i9j54LWmlt9DOe1PDJuQXSp4bvgV356+1Toxw6NsjR90ZzTAYdzQE2XBxh3eoIF17QyvBwfE6uz8ETuHNIPXZfcAskJ2d+LJZmdEKle2kziaRGY0jJ+Ywz5kLOGgA5pBAOKkUf4nK6wVZCree8oznA+2djdtsVlxUl5JdzbLDFCPgk+ofiOdECw+OZmg0z4DaJBP1yttrYxy5blBNtohkWsstbr+tmdh5qWU2uGE5GmJrRrM8mJmNd3RqsYx5IZ17XDPv4T1y+JHt8/1CcQ8cGef14lHhqMsrAr0is7W5nw8URLugM19RkUAxP4M4h811iLx9TBVIooBD0yyRSOnffvJ7tOw7lHXPAJ83orEmkdP78q5uKfn+hPm0nz4zzjQd/kVOo5bMFPNIz2WhrPeetYR9HT+nTXjdMszxN3XICytzJHVMCevOQzyQxWFHHAAAgAElEQVTiFPRxR5tYpoUBSKKAhV1Wcr5/e2nNJKHaPgJDN2bUYC9e3spnsW22IxNqNk13WWeY/W+e4dCxQfqik9qqAKxa1swVPRE+tHLuTAbF8ATuHFKPzfWKCaRCY5YFsaizphTy9WmLjiZJpU0k0TZHqJrB0/tPAkwTusVstIXG3xr2lSzQZ+KN3uGckCMHTbe94qVq6inNpLXRx0RSzzqvGoMyKa14POxUDXX7jkNousl4QiOtGdnYYMOcrFpmWQaJpMZNn1qV95xTF7EvXLemYGfocrAsUPXJil3OtJWiwV68vJWLl7dimCbH3x/j1aOD/Pi5Yzm22fbmABt6IlyxuiMncaVe8ATuHDIXsYrlUmwRKDRmJ2C/kLMmX23YfNecr09bMm0gCrY2BiAJdinD5175YJpQnGqjNQyTsViav3/y13Qvbeb6Tcun2Shbwz4OHD2LgFBUoLvJdx2ptI4kCpiGlU14sLAFcDmmC2fhW9Q2GYrkJKqUy+lonIRqZ1g5hX4cmeRk+UmiCAW21vkWsYefPMxN166q+LdarGJXIQ3WHYFwZjiRNRnEkpN1K/yKxIe729nQE2F519yYDASB6RkuJeAJ3DlmPu1l+ShlEcg35o7mUzM6a8DWtJwC3OGQQmNImaaBbryka5pAHBhOZIWtgyhAKj196+42iSRSWqZuhJ055HzXLZ/uycbUHu6N8v1dv8a0QBAsBMEWuoUEukMhTVqR7e4PTtlFZ9SiUJ7pYurCN5HQiCU04kmN7TsOlbUwT82wkiWBdKaC2fKuxuxxqmZkw/zc8x9LpKfZ1Q3TLNuunq+1+Ew4GqybRErnjV67lsHpKSaD7qXNXNHTwYcubMsxRdQKUbDTz/0+Cb8s0tZYR23SPRYOlSwCbgFhWRaWaadYtTX5Odk/nrUhpjUTwzQZnVAZi6fxydPLCk79/m88+AtUzcAde29aEPBN/7m6TSLjCQ3HLaTIYt6IikefOZL1WluWnWklS4UFukOhaIdwUGEkpk6Gv2WOD/rlGc1F+bRlZ+Hpi8ZJpg0agjJNDaV3BXawK3tZmJaQa+6YopH5ZJHT0fi0heTscIK2Jn+OmafcyAu3fbbcIt+GaXH8A7uWwZH3RnJMBm1Nftb3RFjfE6GlxiYDQQBJEPApEj6fhCKJyJKQvR5RLF/F9QSuR0XMFLD/zC9P0RB04niNyQfesrK5+mpaZ/uOQwzH0rRNqUJ13UeW8fT+kxhmJkstsyU2LXOatpebqWXbOwXBoqnBfhjd2/pdPz+R47120I1M6Foege4w1bmYSGmMxzU03aC10U8sqWW0SIGAT+KCznBBrbSQtuxo4lMdleVGbizpaLALt6h6NsTMzvzLFRC2+ciatpDIksh4XKMhmGveKKatO63FYykNXTPzVk+biYERu5bB68ejdqH5DH5F4rKL2thwcYQVXY01NRkImSy7gE/GJ9tC1v11s+0Q4Qlcj4opFLBvWiZJ1aA5PKnx2dt8W4DqJiRVu2NDvl5Zzrb+uVc+IJnROkN+iY6W4IyJC0Ojdiyrk7gBudv6gRH7/XxOLtOyuO4jywpeq1uTdkwXZFJ4FUWiSRSy9R2KVdYqFhvsLrrudqCVqmE6i1BLoz9rF08kNRCEaWUsZUnAN8WD3xz2MTSWyjl2poxAi0n7rFZma/GkOmky+GAwNyb2oiVNbLjYjjLwKbUxGQiAINpz4PNJ+GQxEz5XG6HuCdw5Zi5Te+eCfHGucsbLDGQlrvMYmpatrQowY6+sz378Ij778YtK0vYcwetojqIoYFlWnigQO+RKzDi53AR8EisXF67gf/2m5Ty65yjDYylbAGGfpznsL1sDLRYb7C66Lgq2I3BkIs3itmDRczvzAbl2WScaYepvb++BU9OiVCRJZElHQ04c9dQoBaeQzGgsjZIpJFNqjVnTtDhxeoyDbw9y5L3hHCdaa+OkySBfUkM1EATb7NIQUKApgE8Wc1of1RJP4M4h9ZraOxvyhZWFAnZ5Q1Uz8ClStkapIApImQ4Nvjyxt/k0uHISF9Z2z9xosastRP9QnCkNIhAEW5DncyDlLIgzPJGVRCQUjA3OKbrufK1ZMKqgVArZ6vNFqdz0qdxqbJNau8WbJ4f53y+/SyptYJqlFZIBODuazJgMBhl3dcfwySIfvqid9RdHWLGocZrpoxqIooBflvD7JRRJyNYo1lJpYG6ELXgCd06px9Te2ZIvrEyWBDZ/1C4KHk9qmKaVjVJI6yZDY6lsdINDIY9+uX21Zmq0eOM13Ty65yjj8XTO50QBJpIa6pnxggvi3gOnCAUVWpsCnBlOZOrF2nHH5ZSuLDRnbk3cXXR9Ms03QCptzHxi1zzkq0d86w1rpv3O3Nqwu7jN1CJFhmGSynS8/enL72YcoLmFZPYeODUtrGt5VyOHe4c4dGyQ98/Gcr77wsUZk8GFbTn3txo4tli/IuOXJRRFQHCZCea6W6+DJ3DnkHpM7S2XmbzrU7XCzxb4zEcv6bRLFmpG0V5Z5SSLFFvQ1nZ3cOsNazJhYXYolyTaziTDtFA1i+YCn3ffOyf2WMBC082yOykXC8WbWnQdyovJLVSPeNeLvXkXdue1x58/RkgSs0WKdr3YiyQJrFzUhD6SYDSTZhsdTU0rJGMYJkMTadpbAvh9EtHxFDv+7bjt8DTzmQw6aK0grGomBAEUWSLgk/ApIrJYH9llbmoqcB966CGeffZZAK6++mruvvtuADRN47bbbuPrX/86mzbZ6Z9Hjhxh27ZtxGIxNm7cyH333Ycsn1vrQT2m9pZDMe96IfJtZZ2ShcV6ZZWTLFLKgra2u4NwUHZ1OXAcaHa3hqkOJOfzUztoAHbnCSip6245zDYjsVA94gFXge2pOItVwGfX1GhrkkmqOnv2v8eXr1+DEpgU9vkKycQSGpIIKdUgMSXm1ieLXHZRO+t7IqxcXF2TgShkQgD9dmys0x+vXqmZRNu/fz8vv/wyTz31FIIgcNttt/H888/T3d3N1q1b+c1vfpNz/F133cV3v/td1q1bx9atW3niiSe4+eabazW8eaEaqb3z6XSrhknEGf/paBzDsEryPpcaJ1zKgna4N4puZBx3lokpCJnYYD9q2ijYnaHczhMz3adSSkbOZIsudv5C9Yhn8ryPTKi0NfsJ+BSSqs7wuIqmG6TU6WF07jRcSRCIpzS0jOPLnQHmk+241bu+uB6/r3omA1EU8Em2kPXJUk5sbD0LW6ihwI1EItx77734fPbK2N3dTV9fH6+99hq33XYb//zP/5w99vTp06RSKdatWwfAli1b+P73v3/OCdzZpva+emRgXp1uszWJOIJG0027Z5Rlb5UFgapcR7HuCUCm5qqIqjutdC2CfhlZErj6I8sKdmco594Vu0/FFq5ituhiArurNUD/cHJaPeJFbfl3UhYWKxc3MjCSZCKuZxNDCpU/XL2shY0Xd/LLN88QmxLXLIlCppayjGlZNAWVWQvbbAKCT8KfSUCQxMqFrLNY5YsBrzU1E7irV6/O/v/kyZPs2bOHnTt3snLlSoAcgXv27FkikUj270gkwsDAQFnf194envZaJNKY58j55dpII9d+tPx+9gAP7jqM3ydlA/R9ikQqrfPCa30Vn7McFkfCjIwnCbg0wFRaZ3EkXNJcv5AZfyypIWK3tnZy7Nub/QWv49UjAzz54gkGhhN0tYXYcs0qNl7SNe24ayONNDeH+NEzbzE4kkSWRDrbQiDAzhdO2NtOn5RtjDkaU0lrJmnd5M4vbGDjJV1cvmYRT754grPDCTqnfFep927qfdJ023H190+9yZqVbZwZTtLe7M8J4JclgZFYmkikMTtPhe5zsfe/+l/W8nc7D5FUdTtLy7JTmGMpgwd3Hc5ek6rqJFSdZFrnIx9azM7n3kbKxOU6sbc3fPwi2trsEpEaAr96s59f/bo/p/C3Ywu3LItw0C7TmdZNMHM/Xw6CALKYSaNVJHyKVFFm11RePTLAzhdOIMsCjUGZWEpj5wsnaG4O5f1NVZuaG0mPHz/O7bffzj333JMVtlOx8ixR5WaTDA3FcuxGxYLPFyJOKUNNn6wgJQoC/YOxObnWa69Yku0e4NYAr71iSUnf3z8YIxSQSWt2dTEnEULTjYLX4dbmAorI4EiCH+x6PWcrP3V7begmkdZgjmlAFwz6zsZZ3BFC081MZ4FQtoPuio4Qg4MTrOgI8a0b1+aMody5dd+nqfUdBkcSGfsxOT2zVM2gNexjcHAiO0+F7nOx91d0hLIt2N21LJoaFOIJlZ/821HORidY3tWY1Q6XtAZZt6qdlw9nnJmyQINf5sd7foMs22Ue+4dybcCdrUFiiTSBgB0JEE9pxJM6uqHS1RrkE5cvYUlrMFvk++1TIzMWp+ntG+O1Y3bH3HBQ5pp1S7l0ZRvpJFXjJ88dtXu2iWKmjoaILhj85LmjZVdDq0Shq6nAPXjwIHfeeSdbt25l8+bNBY/r6uoiGp1sxDc4OEhnZ2cth7YgyVfKsNpOt5lsg6XYFmfCsbHKmZKOArbDSpYK12YtZfudrxZAe3MAXPNkO8OsgjbacuahGO77lK++Q0NAJpbQ8Gcym6ba8ovZokuxVTu24O07DjGR1GgO+/ApMilVZ2Q8xc8OnOK2z3wIsAXh3gPvcXYkhSwJhAISiZTBqD5pj3VobvBxRU+EDT0RnvpFL6ZlZZ1n4aAPnyLRFFSy53Z4+9QIT+971144/TLjSY2f7n8XWRb50Io2PojGePG103YShGUxGlP5571Hq9ad2WG+I4VqFjfR39/PHXfcwQMPPDCjsAVYunQpfr+fgwcPArB7926uuuqqWg1twbLlmlV2E0bNwLKsbDjSmuUtbN9xiLt/uJ/tOw7ldpEtA0d42VXAJm2DzvnctsVlnWGawj72vXmm5O+7ftNyEkkNXTfQjclMsJkKvUTHUgUjByBXIDtZa7IkMhbLjbVN6yZdbaG88zf1e6fOw8BIkr9/8k2++f2XSppf933SdTOjRVpZjbapwUfAL9HS4COR0mlpyHW+Xb9p+YzjvH7TchIpnf5onA/OTtAfjZNI6dOuw+mm0NESQNMtoiNJu16xIGRNAo4gHB5XM9W9LOIpY1odhIBPYlFbkLtuvoLrPnIB7c0BRiZUFCn33hTqM/bSG332ouiXaQgqLGoPsaQjzBvHo7Q2+Xn2l+8xNJbizHCCDwbjjEyoaLqZjQeuFh3NgWymoMNcRgrVTMN95JFHUFWV733ve9nXbrrpJr74xS/mPf6BBx5g27ZtxONxLr30Ur7yla/UamgLlnylDN3V/WfrSCumTVYlcSOzjTNNM+s0FzOZXj9+7hgdzafK6tiQT2NpalAYHlen1Q246VM92eucSXN1X2dS1ZlIpLEsuwKWM78n+8c5emo073nc96lQfYeledqwu7XqgE+CjLkj7zizZjhhyt+2k0zT7PAsnyzSNxhHKdBJ4d9fO01SNbJRBtNuF7bGrsgCsYSWE9JVap8xR/AvaQ8hiiJp3SClGqQ1gzMpHcuCD1w1fJ105omkiRGtbs8xt2O1WAx4LaiZwN22bRvbtm0r+P5jjz2W8/eaNWvYtWtXrYZzzpCvun+1steKbbdmux3be+AUoYCc80DGkmnGYxqKIpXVsWGm7bcsSyxpDxEO+aYJxFK0cfd12llpAqJgoRu2OWI8bfDMr07R3hwouMiVXt/BZqppxKmHG/BP9/C7s94cLMti36/7WbWsJafI929d0sXT+97FYrKTgq4brFoW4V9/foKTA7Fp53eQRBAlEVG06+lOFaQzdWmYWnWroznI4FjSLnyewb1wTq3hm+1QUWAhqBR3tEmxGPBacG5lFpyHVNMmVQ3bYbljjSd1TMssuGAUC8cqJJBvymP7K7WWRUdzIFveMJU2skVk5Iwml0hpGKZV0iJXajhZOVq13RhSorlBoa05mC0QfnowPi1t2d1JITqWQhQFNN3iuVfeL3q/LAvCfom0boBFTrubqecejal0tYW45oqlfOiidvyymCkibwvQq9ctycy9lXfhzF/D10KWZh+ZMBXndzUfjvWyBG4qleK9996jp6cHVVUJBBZGhtS5TDWz14ppk7NN3Mg3Vk136rVOki87rJAGUk587N4Dp7K9vpyyh0GflCMoD/dGGRxJMDIxKbgsCwwLGjK2ZN0wUaRczXOmRa6UxI1iWvWYqvPML0/R3hLIpK5KyIqImtZJqjrxlEZTUJl2XlUziCU1LMgpGANwQWeYD87GCtatjbQESGsmTUGFGz5+EUtap1cru2RlG+tWRTJJCLnxsVPnAArfp3w1fIN+P115vnMhU7LAff311/nGN76BLMvs3LmTz33uc/zwhz9k/frCKZ0etaeajSmLPRSzTdzIN1ZJFEouZDPTuEsZw+kidkJHA55I6tmwNbelVNVsR5YoiARdW/2kqjM6oWJZtomnkoaL7sVIN0xEQbAjODJCPqka+BSBSEuQ1kY//dE4Z4eTCIJAc9iX03DRtCxO9k9w6Nggb74zlOMkagopXNET4YqeCJ0tQb7zT7/CMMkRugK2OeGb/8+67GttbQ3Z8C5RFAgodkyzTxFLLgoz033KV8N3vhus1oKSBe727dv50Y9+xJ/92Z+xaNEitm/fzl/8xV/wv/7X/6rl+DyKMJMQrCS0qZjwcr/vnN92dhU/v3usTmqvooi2BmZZ2YD5Uh60Sq6tmJ3Q2dYbpt0BQsgIPcekoOl2ARl38R3DMBkeTwECrY2+ihsuuhcjSbTbziNAc4OCgO10M0yTUwMTdsEdUbCjCnRbA/3E5UvobA3ywsEPeO3YoF0gPYMsCVy6so31PRFWLW3OSSBobw4yOJpEFCa38pZl0d48qVmKgoAsCoRDit0FQc6tvFUNZruYLxRKFripVIpVqyZbKl999dU8+OCDNRmUR3nkE5K1rr3rPj9YvNM3zvd3HWZJRwM3XtNd1ATgfLYhIDM8rhJL2HbRpR0NRR+0Sq+tmJ3Q2da744Tt4yxam4O0NPiykQVO8Z3e02NIol1XwdHUK2m46BY4iaSGJFl0NPtpCPg4M5xgIqFhmmYmIciiOeynOewn7JdZf3EnLx3u552+8ZxzXtAZZn1PhLXd7dkIialcv2k5u/79HdJpPbvQhEJ+PvOxlQR9crZ+bFd7A4Nm8Zbts6HUncpCpmSBK8syY2Nj2Qywd955p2aD8pg9ta69m9UGDZORWNpuVSIInB1JFhV+U2Nnmxp8+H1SjkCrxbUVsxM623p363fLsjXOQlq33eDQIjqawsIOAWtuUEippdWudbO2u4PLV3WgGSZvvjPEC69+wPH3R7Cw44uTaROwME0Yi6lIosjohMrJF3uz52gMKlzR08EVPRG6WoubNS5e3sqNV1/Er946QzJtsLg9xMc/vJhLV7bPtt65Rx5KFrh/+Id/yJe+9CWi0Sh/8id/wr59+/jzP//zWo7tnGSuqn1Fx+yHf2BCzeTF2+UHh0aTHO6Nzvo7HW1wIJO2KgoCZLRBSRJnFH6zjawo9/POnGe74QZkmhqCBZ2CkiTSGvbZxW9Mk87WUI7Wnqvd5/ZHsywYjWm0N5YvrVTdIJHUSesGi9oauOW6i/mrHYcI+GU7DTUpEEvqWFgYpq1Jg70gXLqy1TYZLGtBEgXePjXCT19+t2AaLUy2/f7IJV18bO3imvby8rApWeB+8pOf5KKLLmLfvn2YpsnXv/71HBODR3HmssVOwCfRPxQHhJwaExbVqczlaIO6bmbrrjppusWE52wjK8rtAuHMeUujHykT35rPfDHVjnjRkqasMHbbqmOJdFbDLuQjmlpFKx9OQoCaNkimdPSpnS2xGzpGx1XSmkFay93SL4s0cEVPhMu7O3IWoHxptE4LnEtWtrlKG85t/dhzrZ9fJZQVFhYKhfit3/qt7N8nTpzwhG4ZzGmLHcsChMyWN5diGmgpZLVBUchuve30VX9R4TnbbJ/ZdIFwzBdyZpGYmt021Y5YqFZDW5PdPHKqsLIdbEJOYRm3oOlqDXL9R5ezamkLyZSOqhvTzmFZFqcGYhw8NsjpwcRkQ87M+X2yyBWrOzg7kuTlN/p4652hHA3WSaO1W+BAU8CHJAoce3+UT1y+ZFalDSvlXOznVwklC9z777+fxx9/nMbGxmx1L0EQ+OUvf1mzwZ1rzGXhjJRm0troY2hMxcJ+UJ1W5dX4Tuch2fXzE/QNJZAlu4OtOIO9c+pnK8n2cYSXmjbQDR1JEmZ0tOWbc103ODuu0mlR9OHPt0jKksh4XKMh6Mvbct3CypZOdARNQ1BhcUcIw4Infn6Ca9cvo+eC3C3+aEzl9eNRDh4bZMh1f0QB26wAdLYE6F7azMFjg3k12IuXtzIaU2kO+wkFFHyKhG4YpNIGJz4YQxTyx8nWmnOxn18llCxwn3/+eV566SVaW0trhewxnblssZP9Lp+EblhZb7uUpzJXpVs9d/qq8/lS281Uku0z1TyQr0B4wXlwzfl4XEMu8eF328InHW0SEwm7K3HAJ5JQJzVQyy52xeXdbYCtbbY02maIwdEkmm4S8En84vU+ei5oRdNN3jo5zKG3B+k9PZZjoljS0cCGngiXr2rPiVX+p5++ldVggWwTxwO/OcPa7g56lrcyErPHG88kPaiaYVdQc83lXG7v57tKV71QssBduXIlTU1NtRzLOU81kxQK4W5hk1IN/D4RTTcwLFvFDfqknO+sxlZvrsJ5KtGS8s25bpg5wieR0hiPa5wdTrB9x6Ec4ePYwu3+Z3Z8rKZrtDUFaGnwMTSazEmSEAQI+GTeH4zzRm+U09E4Q2MpTIusNjwR10hrJk/94h0O9w6hapMRDQ1BhStWdbD+4giL2vJHGYxMqNkmjoosEvDJBPwiiaROW5Ofj17alb2n7t+ZU1Uu13nom5Ptfa2UjYVmFy5Z4H75y1/mS1/6Eps2bcpp7viNb3yjJgM7F6l1cLdbeLY2+hkX08RTeuZHLiBJAovaQtNaxiyUrV45WtJMlbdkUcg6qJwC4Vi28JomfDK2cLBcW3GBgCJy983rufuH+wkF5Gwb8YBPRtMNhsdT/H97jxJLatn4Vitj67awW6G/cvQsYNt816xoYUNPhJ7lLTkFXvKxqC3EREpDEIRM3QUNAYtISxDLyv87c1eVUzUD07SYSGooskgooNT8ntdC2ViIduGSBe7/+B//g/b2diYmzq0uCnNNLbXBqcKzOewn4JdnjG9dSFu9UrWkqQ+i83B/6bqenApeKrZ5gUw2WXPYP23BcWzhE0k9W3+hMSiTykQMXNDZgGpYjE2oaJpBLJ7GyGSzhSQRTbcy0QjTDadL2kOsvzjC2u4OwnnqILjJtgD3S1y+uoNnfnmSVNoO9zMt2278ibWLs8fnqyqnGxYTCRVVM23nHnZ9hVBAKfuel6tZru2eXfH6fCwkZcGhZIGbTCb5x3/8x1qOxWOWVCI8F1Lr9lK1pGIPolsDPDucQJHFbJ8zyJ0zZ34WtU22w7GwCPtlHn76TQaGkwxPqKTSBrIIFrYmG/LLJJJ2aNhUJ5Uii3S2BLhjS24rn6kIAhmbsWy3AJftEK7Xj0eRJQlJtNANC0W2j3n17cGCNXr7ovFsa3hBmCzIY2XMGeXc80o0y2KNMSthISkLDiV3fFi9ejVHjx6t5Vg8Zkkl1eyLdReoJ9Z2d3DLp3sKdkpwKNYlwo0kTo9Ddc+ZMz+6YRL0STQEFQQLzo6pvNM3jgX4lEwVsczUC4LAeEKzOxM736+ItDb6aG/2Ew7K/M7GC/Jeo63JijQ2+GhvDtDRHCDkl5Fc8bLRsRSNIYWuthBLI2G62kLIkkBfNF6wW4ddH9dOaZZctRQs7Ky1obEUfdF4SR0t8nXZcEINq/mZYsx394ZKKFnDPXv2LDfeeCNLly7Ntj4H+OlPf1qTgXmUTyV2snotGlJoy1qKSWYmrf1wb5RdL/bSF40jS6LtbEoZDI0laWsKZNOVnTm7fFUHsiTw0uF++ocS+BWRVNoALBRZwrIsJNEuS2iYVk7csyQKrO/p4KIlTbxy5CwjEyrNId+0rC8Bu1h30C9n24DPFCeb7/rGYukZIy8kScBMW5i6lRMJYVl2TeJwSKExpJSkrVaiWdZCG50LJ3S1KVng/smf/Ektx+FRBSoVnsWEWDF7XbU9xYd7ozz6zBFSaQPDtBiPp3n0mSPcuvmSks5b6EFcs7yFx58/xlgsnakEZpFQbW99Km0wOqHSvbSZzVeu4JKVbSTTOinVoL05yOc+flH2/NsfP4gki4zGVJKqnlco+mSRqy5fzKc22Jrs5asi044RRYFApt25IovZpNpicbKFIi/amnI7MrgFWnNIIZ7UcOuDYsZk0dYcmLFJ594DpxiOpWnLxEtXYoYq5TOV2IWh/pSFmSgqcHt7e+nu7qahofze8h5zT7WdcjPZ68Cd+GBXzKqGp3jXz08QT+nZsoimZRFP6ez6+YlppSHLqdvrbGtNy8puq03LQtVNli8KYxoW3/y9y0mmdKJjqZyUaIDxRJrXj0eJqwZaPLeYtyzZKdStTX5Cfplk2uDgsUGWRsI52qwoCPhkkWBQxieLFZU5zHd9sgD6DKYRBLucoyyKrjKMJoZpFTS/uO99Y3CymaYs2eaThoCMLAl2zQnDRBaFgnU6immjlUYcLLQKY0UF7vbt23n44Yf5oz/6o2nvCYLACy+8UJOBedQHhRxQu17sRdUMxmJpRNGuGzsyoWa35bPxFA+MpLIpsmBvuU0sBkZsba2UhzPfg/jj547Z5RclEd2wCGYKaPt9EpIo4pcFRsZzO87qhsmR90Y4dGyQ4++P5mSV2cXTbe10PJ4mHFLwK3ahGScZ4aU3+lizojUbYeCvUv2CQinIhQRaKm3Q1hRgIqFlEzgaQwFGM8WN8mme7nufUI1s2x/TEgkHZcZiarZXWsEkz4QAACAASURBVHtzAN20CgrJYtroQow4qISiAvfhhx8GYMeOHSxatCjnvePHj9dmVB51QyHbW380TntLEMO0s9gEAUxLYDyeprM1OEtPsTUZ/uq8YoEg5BYKdx5OwzAZi6X5+yd/TffS5pyCM+6Hu6M5QCylsaQjZLcwNyCpasTHNJKqzmc/dmHmuyx++eYZfvFGHxMJLcfmGfTLXN7dTkdzgLfeHWI0lqalwYeaNmhwZYMpskg4pCAC7c2BonbZ2VJMoDlb+i5XMoWqGXS12XORT1A7CxTA6ISKu+1PU4OPeNLW8hd3TO5+ZxKSM2mjpdh4F1qSQz6KCtzR0VEAvva1r/HYY49hWRaCIKBpGnfccQfPPfdczQfpMX+4GypOprbKgL01nlqsWzfMWXuKu9pC9A/FpxUK72qzH2z3w+kkLth1IixG42ke3XMULItQULE74CY1nnrpHa780CIOHY+S1gxbO59IoxsWna0Brt+0giUdDbx0uI9fvnmG0VhuM0ZFEvjtDy/m2g3Lsj3YfvvDk3Gv//TTt4irOk0hH00NSibmNU1AkZDzREIUo9rdOq7ftJxH9xxleCyFYZpIol2H4dYb1gD5BXVH86ms3VXLVIVzt/1xagG7qVUD04WY5JCPogL3T//0T9m3bx8AmzZtmvygLPM7v/M7tRuZR8nUcuVfs7yFYx+MImRCijTdJK2rtGba4ZRTrLtUbrymm0f3HCWl6pPCIeDjxmu6gdyHczyh4RgeFNnWeocz3WmXNvrxKRKCBWMJlUNvD3LlZYt46Y0+DN3igs4wv/3hxZgWHPjNAMemmAxkSSDkVwgGJAzT4v2BiWkNL8F2ft1w5Qr+7dAHaLrJRCLNeFzDMEw+++mesq+/ZsIlK/WFnL8LCerrNy3n0WeOMDyWQs9ULBMEaG20NXl3V16HWjUwPVdMDkUF7iOPPALAt7/9be6///68x5w8eZKVK1dWdWAepVHMqTVbQXz01ChNIR/JtJHT6TYYUFA1o2ix7kpY293BrTesKak1uq6bmZRZCwvbpNHY4MOviJimvRXWMseMqioXL2+l54IW+ocSHHx7kCf//Z2ceNmgX8I0rWz/LqfDiShYjLj6hImiHUsazHTQ7WwJImds15VWQHOuNZZIZ7PC3LuK2QiXvQdOEQoqtDZNCkNVM4qfM3v9jqMNoqMpFDmNJAkosoSqGTVvYLoQkxzyUVZ5xkJ861vf4qmnnqrKgDzKo6BT6+cnUHVz1lpSdCxFU4OP5rC7M6tdl+BL1/VMK9ZdLW1jpu2x++EcHEkiS7a9tCGgkEzrxBIaoxMGbu1LM2xt/OXD/Rw6NsiZ4UT2PUGA1cta2HBxhDXLW/nnZ48wntSywtb5fFdb0BayAZne02M8/8op+qKJaXHClVZAc+7TwHACLLtusVMwZzyuYhhm8RMWoBKBtffAKUIBmdZMZbaB4QSmORnHq0gin7piScHstnKZ6Z4vpIzImSirAHkhrFp4ATxKorBTK0F7S+H4ylKZ6YderZCcSu2VH+7u4G9/8jqDY0kSqs7AUAzDAtMEBEjrBrIoEE/ppNI6Q4bFe2fj2XNEWoJs6ImwrqeDptBkMs8nLl/C0/veJQ22DVYWaQop/OffXklbk583TpS35Z/p+vItmGQK3DgJYaIAhpXp5FshlQgs929rdEJFFAQkydZ0F3c0oGoGR0+NZut0lNvFuRwWYpJDPqoicN2agMfcUuhBgsLxlQ7uXl+6YU0r5n24N0osaZctlCWRpgYFWZaq+kN/9chA2fbKtG6nIqtpnTPDCXTDIJk2MEyQZJGmkN1wMZ02GJoSZRDwSVy+qoP1PRGWRRry/nYvXt7KFknk9RNR4imNkF/m6nVLuHRlG5ZVnj2xmD0234KZKU6GaVnOf0Gws9EqpRKB5f5t5XOauX9PtXZqLcQkh3xUReAW4qGHHuLZZ58F7Lbqd999N/v37+f+++9HVVV+93d/l29961sAHDlyhG3bthGLxdi4cSP33XdfThlIj/wUepC62kIF4yth8gHRDYt4SgME0OHMcILHnz/Gyf7xbDm/9uYAY7E0w+MqS9pD3JSnfkGlPPniiaLCS8g461TNIJnWMYzJUomNIYXxJEQCPgzTIqnqjCc1DMPKpOA6JoNm1vdEuGRFG4qcv4RItlhMQObKyxbxMVcUgptytufFhHO+KBBRFDLpvmKO3bxQfdynX35nWhWuz7oy46A0gTVVE3dKOjqtkDTdBAGaQrbTzP17mgunVrV2VNn50gwCipR3vmpFzSTa/v37efnll3nqqacQBIHbbruN//N//g8PPPAAjz32GIsXL+b222/n3//937n66qu56667+O53v8u6devYunUrTzzxBDfffHOthjcnzEXcYKEHCSjJ6zuRUDPFtW2NKpk2CPhlnnvlA5rCPvsBUiS7ZqpmEA75qnoNA8MJAkquAAwoEqMxlf+5+03GE2n8isiGiztZtaxl2uc/9uHFPPmLdxg30tOaLHY0B9hwcYR1qyM0N/imfdZBFO06BgGfhCLZnveZ7l0523NbCNsON3d5R0c454sCMS2LgCLS3Ogvqo0+/fI7PL3/JAICkmj3h3t6/0mAvEJ3pmpeUzXUfW+e4WOXLeLoqVFSqoFhajQEZIJ+eVqRo4Xi1HLPlywy43zVgpoJ3Egkwr333pstdNPd3c3JkydZsWIFF1xg55d/5jOfYe/evaxatYpUKsW6desA2LJlC9///vcXtMCdy7jBmR6kYl5f3TBzMrp03cQni6TSOh1yrgCpxQPU1RZicCRBQ0DBJwsoikQyZRBLanwwFMcyLTTD5NRL7/DZj12YTZP95Vv9/OL1PsYTWk6MqyjAqmXNfGr9Mi7oDBc0d/WeHuO144MkVINwQOaqdUu47MJ2oPi9K2d7HlBE+oeTGWe/hZo2UNO2V/9wb7RgFEg4qBAOKkUX6+de+SArbAEkAQzTfr0cAVJIQ3VstJFIIy/86t2qLELziXu+BEFAEq2K5qtSqiJw84WErV69Ovv/kydPsmfPHr785S8TiUwW8ejs7GRgYICzZ8/mvB6JRBgYGKjG0OaNeogbLMXr66S5ioJtK5QzAiTgk2c0SZTDTNrijZ9czb88d8S2aBgWY6NJzg4nCQZkO4bWlSb74munGR5X2fdmP8NTUnBlSeDKDy3idzZeUNhkALx7ZpxfvXmGvqEEac3A75MYjYk89rO3s6Uey6mnW3T3IjjdIgTcQQamZafBqmmDlkZ/3iiQP//qpunnm0IqreeUWwR70Umli7dpd1OKhlossWIhOLWqNV+VUrLAjcfjPPDAA7zzzjv83d/9HX/zN3/DPffcQ0NDAw8++GDBzx0/fpzbb7+de+65B1mWeffdd3PeFwQhb5RDuY649vbwtNcikcayzlFNhmNpGoNyznXIksBILD2rcRX77KtHBnjyxRMMDCfoagux5ZpVbLyka9pxX7huDQ8/eZiGoMLohIoTRBUOymDBf7mmm//7yvsYpi10Vc0Ay/5cOeN/9cgAO184gSwLtDT60E2TPb86RVNjkIuWtrCoQ6BneRvP/8eprA1SlgRawr7sbyOVNognNaKjKd4biGXPLUsCDUGFhoCMYVoMjKbo6rTH9mZvlOcOnCI6lmRpJMwNv72SgE/ihVc/oH8onrFHCiRUg0hrEL9P4oXX+rj2oxeWdO+ujTRy7UcvLHqf0oZFpDXE2eEkYMtfKXNev8+uUWCbECYXtlRaZ3EkXNI8BwMKqbSO7BqrYVkEA0pZ92lxJMzIeHLGcbjPl+939vUb1/Hkiyc4O5ygc4bf3nwSDCgkUhpO+rgzbaEy56tSSha43/3ud+ns7GRoaAi/308sFuM73/kOf/3Xf13wMwcPHuTOO+9k69atbN68mf/4j/8gGp0sbnz27Fk6Ozvp6urKeX1wcJDOzs6yLmRoKJZT3amcWMha0JapnOXWEFXNoDXsq3hcxa7JvRUOKCKDIwl+sOv1vEW6V3SEuOnaVew9cApNM7JRCpHmYFZb62zyT9PiVnSEyhr/vz5/lGBAJhxUkCUBNW0wnkjz+N7f8NX//CH6RpK89PoHNARlWsI+NMNkdFxlaFxFECCZsgWSg1+xa9A2hpSsBgy2ljI4HGd4OM7bp0bY86v3CId8XNAZJpXWefzZI2BZ6Bao/397bx4lVX3n/b/vVnvvXd10syg0myg7LgRlCQ+GiDgniApEmScmJ48zRhPH4IpDdCQawgkzZ0ajTHBmHpdfZIgDLjyECJIIGBVQEKFBkaZZmu7qvWu96++PW7f6VnUtt/aq7u/rnJzYRVXd771V9b6f72cV1Ii7lgHQ1etHTYUVLS43XK6+tD87/eekvRdNAyylWt7a9GSaUv226sh3JcwyXDi93tCxFs0cjrcPNgVdQwiN21k0c3hSn9PC6fV4ZWcj2jp9YaW/y+c1wOXqCzuneN+zh5aHT7HI528wGlNGV+CjE22hv7Wv1pTRFUmvNRWBNiy4J0+exHPPPYc///nPsFqt2LhxI2699daYz29pacH999+PTZs2Yfbs2QCAqVOn4uzZszh37hxGjBiBd999F7fffjuGDx8Os9mMw4cPY+bMmdi+fTvmzp2b9MkUEvnYYiXrxsh2aztRliGDgpmj4fYJ4HkJCtQtc6dXdQnsDq7ZxKoVXoIgQwbg9Ydv8ViGwg1X1+J/zRqJ//v/GqMWJlSWmEHTFI6f7YSz0gZFktHr5iErCkRZQUe3H3XVtgH9H3hBwuUOLxRFwYY3joRF59P97LTvAU2pDcqpoOum1MaBF+VQGp42aVmSFLAMFZqEkKjvsOZ3TJSlYAhd6a+sKHD71D7E9dV23HXzRFxRrWZJFIK7LFXOuzxJPZ5pDAsuHTFJVJKkAY/p2bJlCwKBAJ5//vnQYytWrMDzzz+PBx54AIFAAPPmzcPixYsBABs3bsTatWvh8XgwadIkrF69OtlzKSjykTeYyUhxrMBRU0tvzMoiRVGFjxcl+IPpWzyvpmmZ2H5rUZBkVJSozbJd3WpVVafXH0rj0qCg+pTrKq1YMGNEKGCmL0zgGBoKAIeFxdKbxqC6zIKWDi9YhgoTZDUnWRnQ/0GS1MopSZZRWWoZEJ1P97PTXqNNmWBoNZ9ZP1lCe45+tHlkoC5eIO+2G8cYEthEBRha6W9/QyA166Hbw+Plt45hxcKxMXOHCzEjIRqtnV4wdH/QTFHUKR2tusrDbGJYcK+99lr8+te/ht/vx4cffojXXnstrJlNJGvXrsXatWuj/tvbb7894LGJEydi27ZtRpdTFOS6OXImI8XRrJheXsJ7f21GVZkFdgsLnyDh3YNNoGkKo2pKQuO39R75SHEUJNVanNxQhf/313PodfNhY2k0mKAfV5aVMLEF1MKE2wB8erIVvKSgqtSCG6cMw9VXqlkGpcFRMZHXQWtFGNb/AaorparUEhoiqY/OZwLte6AXvHK7aYDgxbMa07UqkynA0BoC0cGxQWaOgSTLYbnDxZCREB0q1OYz9AilPp4LDAvuz3/+c2zevBklJSXYtGkTbrrpJvz93/99NtdGSJJMuDE0UTh9vnvANFt1y8rAGWzUwguqP3bHh9/gh7deHfX9NHH88OgldPT6wTE0aJrGjv1NYc/jWBqyLEOWAYpWRdPMseBFCR8evRQS3NPnu3D4lAuCKKPExmHx1P50rkTXYcW31c5dWnUdG7wBsBFR62xZa+n0g03XqjRSgKGJqKivKgt2RzNzTOhYxZKREI3aCgtaOn2QoYAGQl3uhlXm5mZhWHA5jsN1112H+++/H93d3Th06BDMZnPiFxJyRrJujFiVRQxDg2MZiJIMt5eH3cKi1G6GIEoQRWWAP9btiZ1SI8sKLrjcaO3ywRPhl60sMWPOtOEw0cBnp10429IHllWnCVjNajUTx9Do6lMDaM2tffjridaglayg28WHpXMZuQ5aubLbJ4BlaDDB5jCdvX5UBq3cZK21yOuo93caJZHVmK5VGSnYvoCIHncAbZ3eAX5rNVVQBkUpKLWrv/GAIIWOVcxltssXjA3Ny5MVBTRFwWJmsHzB2Jwc37Dgbtq0CUeOHMGrr74Kv9+PzZs34/Tp08TKLTCMujGibTHf+2szyuwmlDvMcFhYeHm1mqjbE4CPl9DepebHsro8V70/Vk9blw9HTrvwaWMbfIFwoTWxNBbMGI65U+tRVeVAZ6cHMyfU4HfvfBnm76Uo1Yc7wlmOqlIL3tzzFXrcPEwGttXRroN2zvohknIwPYgGhR53QN1GJ2GtRbuOen+nURJZjelalXrB9gVEdPb6oSgAxzID/NYenxBqUSnLMlraPRBlBfVVttDMsly7yzLFlIZq3LvkqpTaaGYCw4K7Z8+eUAvGYcOG4bXXXsOyZcuI4BYp+i0my9CwWznIigKz1s1fAfwBAX1eEaIoY3SdGfOn1+PwaRd4UQrzx940tR6AajUdO9OBI6ddON/mDjueiaNhM7OwmNXqtq/Od2PetOFhz9H8vWBplNpMYFkavoCIm6bUgWVoXHB50hrDEm2IJKBmDciKgoCgoNfN4+ZrRxj+AUbbquv9nUbQ1qymh4kDmggB6VuVesHucQdCI4xK7dyAqjJtTfoBoTUVVnj8Il546zgsZmbA+oqJVNpoZgrDgisIAjhON7OJ40iXsCKmzyugqtQME6cKoJ+X4PYKaA+IGBZ0iVpMHGiaRqmVw4+Wqj7a4U4HPjx6CV19AVSUmDFnSh0oisLv93yFE02dYS0EK0rM8AVElNg4cLosBc1NEMnVV1aizGHCx1+24lKHFw4ri6XfuhLXjFEXlO4YFm1bHVZdp6ilnQxNgWUplDpMOHD8Mq6sKzUkJu096sDL1r7+ZuHlJWbDvlX9msuDfWcjsxcygV6w2zq94FgGpXYOtuActmhVZbs+bkaNot5E+OAkC0UBeEEu2hE3QP8NTj/6veAs3BkzZuDhhx/G8uXLQVEUtm/fjqlTp2ZzbYQgmfqCUMGZY4KkqD0MenxQFCFUMMLQFGiKGmDBjqkvxe/e+TIksjdNrUdlqQVHTruwY38Tej398784lsbkMZWYPt6J0XWleOXdE+j1hY8Uj3RDaE29LRyD6nIrpo11IhqxttUTR5VjwxtHcOZiDyiKQpnDBIpjYgaGSu0mdPb6IevKbSkKKHOYE7ZajLQwLSYGLR2eYAMg1R/s6vKhrsqYD1dvIfsCIno9PARRwua3T+DHt00KrSETkz00y27DG0cM+YMj++Hqh0gWU+6tnsjR77m+cRgW3Keeegr/8i//gueeew4sy2L27Nn4yU9+ks21DSpS7RyWzhfk+NkO7PvsIjw+EeUlJkwbV43Rw8ogKwomj6nE2wfOqgEyLVrPUJg/vR7fXOpFV18AJo6BKCvYc/hisIyWRVu3D6/tPj0glevKuhLMHO/ENaOrYDb1/5BjpYUtmDECNguLylIzzJSCKNXdA4i2rdYH+rT+sZ1B69lm4cIsN02wGYZGRYkZPcFBkSyNUMAMiB79jyV4shTsdo6IczDYlF8TNc2vqooaBb8ghX3OmZzsYdQfnEw/3GJBfx0pisr5jcOw4NpsNjz++OPZXMugJZ3OYcl+QShKnaZ6oqkTbx9ogiDJkCUFHX1+nD7fHeq4pU/X0luuE0ZV4NszgVPNXXj7wFm4fULQMlbQ7Q63VMsdJswY78T08U5UlUaPluuP0+PhUVdlw8JZI3HN6CowNAWrmYO7N/6PNt7NasMbR0LXR82sUEBBQa9XgM3ChVlukYI9pr5UnR8W3DZrRLP2Ygledx+PihIT+nxiqNtXhcMEf0SryFhooqbuEvqnFHMsDSY4Iy1esUEqkz2M+oP1wpyoH26xkO+iDcOC+8knn+Bf//Vf0dPTE9Zs5p133snKwgYT6SStG/mCUJTaVjEgyeADEnhJxtsfnkW3lw9F/LWOW/qcVk14TzV34cOjl/D2/rOoKLmEm6bWY+/hC/DzEsQoumE1MWBoCj9fOT3U2jEeE6+owOSGatiCboNkSCZhX3MVKErwekT0bNVeE1kua8Tai/U5AApYlsGwyv5+u5Iso9zBwQiaqAmiBJqigr0QVFHTf87pTPaIhpEsA70wJ+qHmy+S3Tnmu2jDsOA+88wzuP322zFp0iQSLEuSdO6q0b4gCoBRtQ61jFaQVGGU5LBdbEevHxZz+DGjBas0S5ZhaJg4RnUZ/Ok0pIj5WVrfAQWA3cah1MolFFuapmAxMbCaWZhY2uguO4xkEvatZlYtz+1To/CR1VzRMDoJwesX0dXnDwabVHHt7gtAVoCOHn8wV1kdHQ8FhoVIO87mt0/AL0jggvPTtIbvmhCkOtkjGWKJlxbRj9YPF1B3GZnOxzUipKnsHCOt9lzfOJIqfPjBD36QzbUMWtK5qy6+fhTe+NNpgGNgtzAQZQa8IGHmBGfImotGRYk5bg8Djb98fhGSrMDPC/AHpLCyXJpS07m07lqKogbW9Klg0WBZCjYzB4uJCYlyqnNGE92sIoWIptWgWbQOabEwMgnBxNEIiOq22tWttlqkKQoVJSZIMuD2CpBkBcMjGr0YPf6Pb5sU1kshUghi3RiA+JM9jGJEvGLtDjLdZN/o+6ayc9Rfx4LOwx03bhxOnTqFCRMmZHM9g5JUk9YpCrh6dBW+f/ME/PnzS3D1+GBmacyZXIfRdWVxRSxWsEoTyo5eP46cduFcqxuRrQwsJgZQFFjMDFiWgVWU4PaJEGUFlaXqD13f20Bbq5llYLOw4DgmY5XpiW5W2a560n7UNgsHjqXR6xUQ4CVQFFBZaobNwsEXEEFRgD8gJX7DGBg5j3g3hnTPPxXxylbXMKPvm+rOsSjycM+fP4/bb78d9fX1YSW9xIebmGREQeu4JYgS/IIESVTgLLdi+fwGVFba0dlprI1ctKDYDVcPg9snYPM7X6KpJfyLxrGqNWE1sRBlGaVWDjdNrQ++XsbIGkcoqKaHpSlYLNo8sNTcBvEwcrPKZtWT/kdts6hb/QttbgBKSGy1nYaiKPjmUi/+6ZWPUV9pxfIFyVWbpXoemTj/VMQrWwEoo++bb39sKhgWXG26LiE1Yv0o9LmxgYAEXpRCDTXSZcKoCowbWY6zLb04csqF/953Ro00BymzmzCq1oFzrX0wccwAS1gLqkVbs4lVc2fNHA0K6bkN4jGloRpNLb0D+r1mS2AjfYcWjh7gI1Wr1NRz1rILANWHLivqXLG2bn9W8zszPaA0FfGKfI0vIIb85xveOJLymoyupRib6BgW3PHjx2dzHUMOXgxasbwESVLCphpkgs6gy+Czr9rDAmUsQ2HSlZWYOcGJhvoy0DQVylKITA+LRJtuazWx4FgqKwIbybEz7Thw/DJKHSZUsxbwopxUJViyx4r0HXr9YuhOov2oLSYGoNSAiyBKoCi1gIKm1P8BaltDfVpXKmuJJajZ8J2mIl7610iSHMojrigxpbUmo2spxiY6hgX3hhtuCDXs1bIUnE4n/vKXv2RtcYMFvRV7/GwH/nzkIlq7vCi1mWKKWyoEBAlfnu3E4VNtOBvhMhhZ48CM8U5MaagKJfhrxLJktbWzDB2qBEs3CJYsuZguoInbmYu9oCigvMQcynkGVLeJfoLuim+PDa2to9sHilIrsLRWhkqwOCDTzd+B+EUQqfRvaO/xq2PqKSpuL4do6AXvzMUeMDSNMocpVC4cuSajVnkyQpqKO6UoSnsbGxtD/y0IAnbv3h32GKEfKhjR50V1+kGAF3GyqQs7P2pCa5cfLEPBYePQ6xPw9oGzuA1IWXRlRUFTSx+OnHbh+DcdwdxMlVIbh+nBwoSacmvS52BmGdis3IA8z3hkequb7UR1vbjJipoEq2/VaGLpqBN0j51RZ/BZzSx8wSCaNkIHAEptpow2f9eLV7rX5NiZ9lCLQlGSISuqU6S63AJblEkU8dAE75HfHoTN0j940+sX0OsRBrR/NGqVZ8svXzSlvXo4jsOSJUuwZcsWPPzww5leU1GiWbG8KCPAS+BFGUpw+kGoassrgKZVP1+vh0eZwwyGocOKEfREbvVvuXEM6itU4ezq8+PI6XYcOe0a4DK46grVZTB2uOoySIYzF3vw+ddqz1iricH86cOTsppS2erGE+lsB0bCuqYFZ50BFHo9fMzeuJENZxivgF6POrnCxNKoLDUDVHJtHvUkEtR0r8m2D76Gx69mVmgZKgrUvOJ6pyOlHYR+TdqIHgQr5rTWnw4rB5slv3PQdn3cDFFS0OcNoL1bNX6sZrbwSnu7u7tD/60oCo4fP47e3t6sLKqYECUZAVFWZ3iJ0X2xHx69pM6wktUOVeoXnYLbJ6Cq1BK1c5a+IMFiZtHrE/D//bERV11RgUsdXnxzKfzax3MZGIFlKFxs9+AvRy+ClxQosoKeJO/+qWx1D51sjSvS2Q6MhFWqBWedUVAgxKhUi3aepXYTzCZ1UoLXL6Kt2w8Lx6Qc3EskqOlek9YutcOZ6h5SQtOLtU5vqewg9Gvq9QiAEt4QSJIVeP1CqGhEO86ldk9WCidicandA49fAEXRYGj1nHs9geCNNvuk5MMFgKqqKjz55JNZW1ihoqVtBQQJAUEdlJjIn9nVF4DFzIJhaci6abGSJMds4K2JNMeoPyifX4QvIGL/F5dDzymxcpg+vhrTxztRW5HchAGg321wod2NfZ9dxMmmTkgyQn64ZK2QVLa6b+37Oq5IZzswohc3zffY4+ahIHalWrTz1IJGNZU21FlYePxi3OBePKs+kaCmf02UUD9czf2lPqqSyg5Cvya1/WP4eCaOoSFK4XnKfV4BPl4dUpnJwol4qDcVKhTcpCkFkkKFtRXNJin5cIcS+oAXz0vgBQlSxKDERGhVXw4Lix4PH0r7ile11dHjh6QAXYHAgM5c14ypxMzxTowdUR7WSNso2lgRm4XFqeYuvPrH7J4BMAAAIABJREFUU2CCwk5RVMxuW4lIZavb2ulVgzY6TCyNizmyfCLFjWHohJVq0c6zx82DNdhkKJHrJd0iiETUVtrQ0uGBrKjTazWx4aJUuCWDtqZo7R+tZgYen4KAIIVuIm6vALuVzem4dYahAFGNfWgzzUAFH88BhgVXlmVs2bIFf/nLXyCKIubMmYP77rsPLJuSG7hg0TpjibIMXpAREETIEhKmbcVLrdKqvhiGRpmNi1m1xYtqlsGR0y70eMM7c3EsDYuJQWWJGav+V+wUvWjrAID9xy7Bz0sY7nRg7tQ6TApOuH3v4DnD3bYSkcpWt7bSBleXN+zH2evh4Q/kxvKJFDeLiQFL0Xht92lUlzUn7KKlnacoyarvVkesm5UR10s2izmWz2/AKzsb4Q+IwfQ1tUmGxcQY6j+RiGjXh2NpLJk9Kmz0vMcX7mIAst+5a3i1HZc7vfAFx0cxDA2ricGwyuR3iKnA/OIXv/iFkSdu3LgRn3/+Oe6++25MmzYN77//Pk6ePImbbropy0s0hs/Hh23t7XYzvF4+9guCUBSgQIEgKPAJIvq8PDw+dfsuiOoU2UTWrOZvFSR1pLSPl9B4rgvVZRZUl1mD/7OgtcMLPy+httKG224cjSXfuhJVpRY0t7qx9/AF/OHP3+DYmY6QT5eiVMvAZlIHOvoFCWaOQUWJGdVlA7MOoq3jxNkuXHB5UGI3wWJi0N4TwOFTLtRWWFFbacOO/WdhMalWGUNT8AVENYFfVmA2MZAkGcvmjkGtgS9kbaUNtRVWXGhzo8fDo7LEjGVzx8T98dbXlOCTL1vUggGaAi/K6PHwcNg42C3qVBGWoSErwIU2N+ZMrku4jmSprbRhzuQ61FZa8dlX7QClNt3xBEQc/bo9dK3inaeZowGaVgdT0hTcXh4dPX74eREnz3WhxMaF3kN/zTUYmkKPh8eia0caWvOxM+34r12N2LH/LD77yhX2/ole89cTrbCbGdit6iSOkU4Hvr9oPP73d68KXoeB72P09xTr+iybOwZzpw3HnMl1WHTtSMyZXIcvznTAExBD6XSAuiOqLDFn5XMGgBIbhy+bOmGzcHCWW8EwNCgKhr/jeuz25IfoGjZPP/zwQ/zhD38IjdmZP38+brvtNjzxxBNJHzTfaO0Meak/o0CObCiQBJq/1UgrRI1udwD7PruIw6dd6NDd0RmawlVXVGDGeCcURcHuT5vRFkwlqyqzQFKUmKlk+nWYOQaVVhY9fQF4/AJMPiY0y0ufkJ9ut61IkrXMZl1ViznXDAurJGNp9YehJxc9S5MJ+sVq5BIAEOBFdPYGAKi7mEgLPd0sg1SyQSJfw4syJFHC3Tcbb/KTDEa+B/moFNNXLrZ1+dIKbqaCYcFVFCVsppnJZAr7uxjQ58WKBoJdRtGCYnqitUIURBlfNnXiyCkXzlzsCbOch1fbMWO8E1PHVoWCNwBw4IsWVJWrIs4yqr8tUsw1ut0B2KyqVegNCOjq86PXw4OiEBp3DWS+21Y6HDrZOqCSrKPbH0qb08hFjXw6+a1hRQCXesHQFMpL+qdI6IU7XaEppEYz6ZCPSjF95aKR4GamMSy4EydOxC9/+UvcfffdAIDXXnut4Mt9Jbm/R0FAlEJ5sdEwWt4ajXitEBVFwfk2Nw6fcuHYmQ4EhP5Ird3KYdrYKsycUBPTh2REzLVqsBG1JbjQ5oYvoPqnZK22XxdYi1bv/v1F4/NWHhktS8Fh4+D2CbAECw9yVSOfruWpWXWPbf4rLBwd5jLQC3e6QlNIjWbSJZu+6mgUzYiddevW4dlnn8Udd9wBAJg7dy6eeuqprC0sVYRg8YHS6UFHT8BQj4JoOa/JVIBFa4UoCBLKaxzYtPVo2JeapihMvKIcM8c7MX5UORg6fhVXPDGnKQrmUINvCl09PvS4VYuWAkJuEklS0NLuUf2SfgGR9e7fXzQ+NB4710TLUiixcZAkGeV2U05vApna4kYLBEYKdzpCk4lGM0ZeMxjJ943HsOB2dHTgm2++QV9fHyiKQmtrK3w+H8rLy2O+xu12Y8WKFXjppZcwYsQIvPXWW/jd734HhmFw/fXX47HHHgPLsrh06RLWrFmDjo4OjB49Ghs3boTdbk/qRDx+ER6fWu2jKABn5gw3hDHig42H1grxz59fhKvLBxlqb9Qjp9tDz6mrsmHmBCemNFTDYTXuitGLOUMzECQJFhODpXNGo6rMDFbXEtHHy6H5WjyvNhNn6P5qol6vAIbu7+MKDKx3zzW1lTZcaO2DLyCGxoxbzSzqq+05vwlkaou7bP5YvLjt84z7JrXc3YvtHvgDEhw2DiU2LulGM8XSWSsb5PvGY7hI/qmnnsLy5ctx9OhRfP7551i0aBHWrl0b8/lHjx7FypUr0dTUBAD45ptv8M///M/4z//8T7zzzjsQRRGvvvoqAODpp5/GqlWrsGvXLlxzzTV48cUXkz4RX0BI2S/b1RcAx4Rfimg+2GioLoM+nDzXhcudPngCEnzByQk2C4s51wzDA7dPxgO3T8G3rqlLSmyBoJjPGY0Kuwksy6Chvgwrvj0OU8dWg6HD+89Wl1mC87VsMJlUny9Fqdunumo7GBpgGSbMR5zvbeXkhir0eAIQRLUgRBBl9HgCmDgq9o08HsfOtGPDG0fwyG8PYsMbR0I9D4wypaEaj6yagQ1/9y08smpGSjeiWVfV4vuLxqPcboLXL6Lcnr5PXAt6dXt4VJSYYbeycPsEdPcFDL3/lIbqjK+pGFl8/ShIwcIlRVEKd8ROb28v7rzzztDf99xzD7Zt2xbz+Vu3bsW6devwyCOPAABOnTqFadOmoaamBgCwYMECbN68GXfffTc+/fRTvPDCCwCAZcuW4e6778aaNWtSOqFk0Py2fV4ebp8Ah42D1ayKUawKMI1eD4/Pv2rH4dOu0MgVoN9lMGO8E+NHloelvKQCRQFTx1Zj9tV1qK8rRXu7O+Zz9VaMGGxiQ1FqitjlTi8kGZBkCV6/EBLdfG8rvzjTgVKbCT5eCk29tZoYNDZ347Yk3yuTbQvTbcKTad9kZNCrzGGGxcyi3G4yvBPItb+0ENHvYgp6xM6oUaNw9OhRTJ06FYBaeTZqVOy7wvr168P+njhxIp5//nm0tLSgpqYGu3btQnt7O7q6uuBwOEIFFE6nE62tramcS1Lo/bYldhN63Dx63DygKGBYJmoFmCDKOHmuC0dOu/DVhe4w63JYpeoymDo2OZdBLEK9Z839kxQSDe/Uf5k6uv2hPF63XwyVE8sK0NkbgKKo02bzva1s7fSi1G5CmaP/3BRFScnqzlQkPluzutIh377HwYR24ynIETtLly4FAHg8HqxatQoTJkwATdNobGxEQ0OD4QONHj0aDz/8MP7u7/4OFosFixcvxhdffBE2cl0jlanAZWW2ASWwlZWx/cAf7ToFE8f09zxlGXT3BdDnEzFmuAM3Xz8K1zRUQ1EUnLvch4++uIRPT7SqDamD2K0crptUi9mT6zFqWEnSaz5+ph27P25Ge48P1WVWfOf6UZgyrho2MweblYtqHTud8Y+z0FmChTeMxqGTrXj5rWPo6vOrfiOKAk1TKLdz8PhE9HgETLyyBMvmj8Wsq2qTXnsyHDrZirf2fY3WTi9qK21hx6yttKGr1xc2Pt3Pi6hzOhKeaySdbh4lVjbs+8MyFLrcfFLvtWfbMZhNDCwm9edh4hj4eRF7PruEhTeMNvQeya49EXVOR8auU6rk6ji5JNfnlFBwM5WJEAgEMGXKFGzfvh0AsHv3bowcORKVlZVwu92QJAkMw8DlcoXcDsnQ0+MFL/R3/Ek0/8vV6YHFzPbXkTM0qsss8AdE/O/FE9Dr5fHv/3MMx850hI2loSnVrzp9vBMTR/W7DIzOGtPQW9gOCwtJlvCnT87BzACTrqxCwDewqieZO/IV1TasWDgWL7z1BWRFAcfQKLWbYDWzcFg5eP0iHlo+Rb0WWbzL661FC0fD1eXFi9s+D/kPtQCTKClhwZyF0+uTXlelwzQgIBIQJFQ4TEm9V4vLDZuFjfjcKbS43IbeJxuW08Lp9Xj9T6czcp1SIR/WYLZJ95xSEeuEgnvdddeltJhIvF4v/vZv/xbvvfceTCYTXn31Vdx5553gOA6zZs3Czp07sXTpUmzfvh1z587NyDHjES3dihclcCyN/9rViNPnw10GDE3BxNFY+q0rMW2cM+3jf3j0EuxWDhUlFjA0BT8voccdwLsHz4X6HKTLlIZqNAwvy2tUNtE2XwswZSIPOFOR+HxHsqNRjONkCAPJWeeZiooK/OQnP8Fdd90FURRx6623htwV69atw2OPPYbf/va3qKurw29+85usr0dLtwooCiiovWkDwVSqtm7VL6b6QFl19Hcwv/ZQY1vagsvSFDiOgd3Gwc+LIcucy4JPLtfpQJHBpkvtHpSXxG/qog/maK9Xm8ckJyqZEqVCTaEiQa/iJ+uCu3fv3tB/33HHHaHCCT3Dhw8PpYjlivpqOxrqy3A0istg/MhynG9zo8TGgdYVJhhNFYsGRQEcq7ZEtHAMWJqCq9ufdSsql5ZRtGCTj5fAeMO7QsU6z0wEqzIhSsSaJGSLwdVbMQGiJKOxuRtHTrlw+nwX9DG2mgorZox3Ytq4apTaTPjdO1+qLgdd3CpRqlg0tN6z2nwszU2x6NqRhq2odIfe5coyiuY+sFtYuL0CzCYm4XkWUr1/oVuTmZ4dR8gNg15wFUXBpQ4vjpxy4ejX7fAG+rMMrGYGUxqqMXOCE8Or7WHR7WjlurGahUeDpSl10q2JDfUy0PuEjVpR2Rx6l4uBj6V2EyRZMVSmS1KfjBFrJ9DU0hvWbzabIhztuwOQXUEiBq3g9np47D/WgiOnXbjc6Q09TlHAuBHlmDnBiYmjKsDFmEirlesm09CGAsCyFGwWTu13isR5s4m+kNlqtpGNXNNYwabhBst0CylYVUgWZORa3D5hwE6gl5fw3l+bUVVmyXrucLTvzis7GwFFgc3KFUzuciEyqARXlGScPt+Nw6dcOHW+O6zHrbPcgpnja1SXQUSX+VhE9rCNRWikuIWDiUuvsiySbFl92di+pxtsKpRgVSEVPkRbS1unF1VlFkB3Y/L6BUiykhN3TLTvTmfw+1hRasn68YuZQSO4e49cwJ8/uwSPrjDBYmIwdWw1Zox3YoTTnlJBRTxC1WAmFhxLZay/rp5sWX3ZEPJ0g02FEqwqJF9ytLWwDI0eNx/WE0OUZHAME/babLljog7RlNXx8rk4fjEzaAT3UKMLHr8YdBmUYe6MkRhZZYvpMkgHlul3G9DUQP9sJtFbfSxDodfDw+0V4PEJoX628br8xxKvbAl5usGmQghWFZIvObpfnENnbyBsICNN0bCawwU3W+6YaN+daG1G8527XIgMGsGtLDVj+rhqTBvnRJndlLDSLFkoSm3baLOwMHFMAu9s5tBbfZc7ffD41UmnpXZT3K1uom1xvrbvkTeBu26eiCuqbTH/PR8WbiH5kqOthWUZ1FfZ4LD1ByJvuKoGB45fDhPhbH2e0b47FjMLKEpOjl/MDBrB/eGSSWH5tJmCptWBgpFpXfnA4xdAQa3tTxRAS7Qtztd4k8ibwMtvHcOKhWMxpaG6YHynheJLjreWFVFaK15ZV5qTzzPad2fFt8cOeIxkKQxk0Ahuht2zYBkKVgsHaw7cBvHQi5CiKMFuX35UllpCNwH9VlezEE+f7wbH0ihzmENzteJVeOWCaDcBSZax7YOv1VlgF3tBUUB5iTkv40+A/uvn5yVIkgiWoVBfbc+beCRzY8zl5xnrWERg4zNoBDcT5MttEA+9SHEsHbTiVV+u1cyGbXX14syx6mh1vTjn26cWzR8pijLaunyoUaBO6EhwQ8km+utXUWIOs2zzKSSF4NcmZAYiuCgst0EkepEqd5jR1u0DBQWCKA/oVq8X51I7h87gsMgedwA0TWV8W5ysvzWaP7KrLwA2uGaWpSFJsW8o2aaQshMKwZdNyDyZD+EXESxDodRuQnWZBaU2U6jRdyFRXaaODgfU/ruVweGRNEUNGJPS3uOHKZiVYbOoz2UZ1SrO9EgV/cgXvb813kibaONNBElBmUPNiy61ccGpygoEUcr5+BP99dPIR3ZCKteWUBwMOQuXAsByNOwWDmaWybjvN9NEpoUxDI0yR3TxjLQgbRYODEMnNYbFKKlYg9H8kRYTCz8vhtbLCxJ6vQIUBeh187j52hE5s+wKJTuhkCxtQmYZMoKbSjVYIWzrkpnBtPj6UXjlvZPo7PFDkhUwQVeJFkHOJKnmqkb6I8+1e0MTbiVJhtsngKYoVJSqQzMPHL+MK+tKB7RvzMZnUijZCYWUB0zILINecDX/rM3MJVUNVigpStrxDM9gCpnsCgAq8+kbQTJlDeobkJ+52AOGVi34aGPcs/2ZFEqlW6FY2oTMM2gFl6aAErsp5bSuQt3WxbPwdn3cDJuFDWshGRCkrKw5k9agdkN55LcHYbOEzyTTW3a5+EwKISOgUCxtQuYZVIKr98/WVNrR2RF7pHgiCnFbd+hka1wLL5drzoY1mMiyK8TPJBsUiqVNyDyDRnBNHAOHxRTyz2o9aFMl1W1dNnyM2nueudQLCrELA3K9Fc20NZjIshtKW+1Urm0hxBwI8Rk0gltmN0GSMpfTlcq2Llkfo5EfSDKVZoXSHyHVH3oiy45stWNTSDEHQmwGjeBmOn82lW1dMj5Goz+QZCrNItdsMTFgKTo4kLE5KxZPLn/oZKsdm0KNORDCGTSCmw2S3dYl42M0+gNJptJMv+ZUhTBZazWTP3Qjay6EoFYhMlT828UOEdwMkoyP0egPRP+ediuHSklGj5uHAqDcHjsnNxUhNCJ4qYxBNwqx0lJnKPm3i5khXdqbaaKVrsbyMepLdjWi/UAi31OrNLt/2WQ8smpGTCFKpUw12vw0hqGx6+NmANFLTn28hD6vkPA8jFAopbXFSDLfPUL+IIKbQaY0VOP7i8aj3G6C1y/G7V9g9Aeif0+3L/576jEq6HoSCV40QdbGoGfih57KmgkqyXz3CPmDuBQyjFEfYyp9Tg1VmgVJJaKfSh5sMmPQs7FmQj/Ev134EMHNI9n8gaQS0U81D9boGPRsrJlAKCaI4A5ikhX0QsiDJVYaYTCTVcF1u91YsWIFXnrpJYwYMQL79+/Hhg0bIMsyJk2ahGeffRYmkwmXLl3CmjVr0NHRgdGjR2Pjxo2w2+3ZXBohBvEEj1igBEJ6ZE1wjx49irVr16KpqSn02JNPPolXXnkFDQ0NePDBB7Fjxw7ccccdePrpp7Fq1SosWbIEL7zwAl588UWsWbMmW0sb1GS7vJNYoARC6mRNcLdu3Yp169bhkUceCT0mSRLcbjckSUIgEIDZbIYgCPj000/xwgsvAACWLVuGu+++uyAEt9hq04upvFO7tp1uHpVxevwSCIOJrAnu+vXrBzz2i1/8Avfccw8cDgdGjBiBxYsXo6urCw6HAyyrLsXpdKK1tTVbyzJMMYrXmYs9oCgKZQ4TKI4p2MIB/bUtsSZ3bYvtJkgg6MlZ0MzlcmHjxo149913MWLECDz33HN47rnncN999w14LpVC0+yqKseAx5zOkpTWCgB7th2D2cTAYgqOGOcY+HkRez67hIU3jE75fdMl8pwOnWzF7/d8DZalICsADSU0mNFu5cAyFLrcfOh1h0624q19X6O104vaShuWzR+LWVfV5vQcIq+tw8oZurb6cy1zmOD2C/j9nq9RVmbL+TkkIp3vXqFCzil9cia4hw4dwvjx4zFqlBrRvvPOO/Gzn/0MTzzxRMjNwDAMXC4Xampqkn7/jg43ZLm/g00yOavRaHG5AShwdfshijJYVrXGWlzutN43HaKd05u7GwEKYGgaHEtDlBQACjr7AjBxDAKChAqHCS5XX5hlaeFouLrU8Ta5TpBvcblhs7AQRDnUkIemqITXVn+uoqSo/09JeHN3I66otuVs/YlI97tXiJBziv76ZMlZpdn48eNx7NgxtLerk0f37NmDyZMng+M4zJo1Czt37gQAbN++HXPnzs3VsmJi4Wh09fGQJBk0pc7b6urjYTE4Dy1X6KvDSu0mAAoUBRATjFGPVrqbK6rLLOjzCmjt9KKppQ+tnV70eYWEFWWk9JdQ7ORMPRoaGvDTn/4Uq1evxtKlS3H8+PFQQG3dunXYunUrbrnlFhw6dAg/+9nPcrWs2FAUtLlgqosj+HeBjfnVl8NazSwqSy1g6MRj1DXyIVgTR5WjxxMIWrZq57MeTwATR5XHfR0p/SUUO1l3Kezduzf039/73vfwve99b8Bzhg8fjldffTXbS0kKPy+hslS1xERJBsvQKLFZ4OelfC8tjMhiBJqmDI9RBzIjWMkGshqbu1FqM8HHqxY4y9Kwmhg0NnfjtiTOlZT+EooNUmkWA02caiv7fYMBQUK53ZTxY6UTeTdSjKC9/8V2D/wBCQ4bhxIblxHBSiWbo73Hj1K7CWUOKuTDVRTF0Ij1ROdKIBQyRHBjkCtrKhPpZ/GKEfTvX1FiRi/Nw+0TIEky6qvtMcU5mw3I07G0SeEFoZghghuDXFlT2W66Hfn+ZQ4zLGYW5XbTgIYzqVqryU4a0N/MWIZKqaUjycclFCNEcOOQC2sq26NRsjH2R08q1qr+Ztbl5lGRZKVZMRWlEAh6iODmmUjB8gVEdPcFoCjAhjeOpG25ZWPsj55UXS+p9PjVIKN4CMVKYSWVDkH0kx+8fgGuLp8qWrKMby714pX3TuLYmfaMvH+mxv7oycekgUJJbyMQkoVYuHlGv70+fb4bCgCGBmiKgqwo8PhFbPvg65QFLBlfdLrWaq4gAxMJxQoR3AJAE6z/8+t9oBQZsgJIsgKKAmgKaO1Kz3JLdeyPhaPBcgxe230a1WXNBROYIvm4hGJlSAtuLiPdRo4lKwqk4I6eAqAogKQAoJUB75ctNHEu5MAUycclFCtDVnBzKShGj8UyFCR5oLiyTO7LiQs9MJXvfFySlkZIhSEbNMtlIxejxzJxDOigtmqyS1Pq47mGBKZio91Auz182A00neAmYWgwZC3cbOe/GjnWpXYPNrxxJGQlldk4MDQFHy+FWkJaTQyGVRpvPZgpy4sEpmJT6NY/oXAZsoKbS0GJdqw+rwAfL4VZSV6/CCgKKkrMKQWDMukmyXZgqphH7OTyZk0YXAxZwY0UlF4PD49fhNcnZKTgIN6xeFGG2yvAbmXDrCQAYGkKDiuXkoWaScsrm4GpeCN2snXMTEKsf0KqDFnB1QtKZBetTAfQoomXxycEG4b3Y2JpeP0invnh9SkdJ9OWV7YCU9F82gEA2z74GgFRLsjMCD0kLY2QKkNWcPX4AyIoigLLUGECkEmfXKR4bXjjSMatJCOWVyFE12PdGFravagqtxS8b5SkpRFSZcgKrn5bKysKKACdfQEAgM3CZd0nlw0rKdF7FkpubawbA6AUTWZEvtPSCMXJkBVc/baWYxmIkgIKCnq9AmwWLus+uWxYSYneM5fR9XiWdKz2jLWVNvCinLTVXwhWO4FghCEruPptbandhM5ef8zhi9kiG1ZSvPfMVXQ9kSUdqz0jgKSt/mxZ7UTECdlgyAquflurDV/U2iKW24srTcmoOKQaXc/GFIh47RmzPXEiEYXieiEMPoas4CYzfLGQOXamHa+8dxJ+XoIkK+j18HjlvZO4d8lVA84jFb9xrqZAaCRr9WfDaieFDYRsMWQFd7BEmrd98DU8fjHUWSxeS8dUzjme+MR6r3wXlaSbmUEKGwjZYsgKLjA4Is2tXf6g2KpNGCgAMpSYLR0zZUFebPfEtHxzmaeaamZGU0svGpu7o4owKWwgZIsh27xm8KBAiWgwpv6dmZaOsaZASJISsyFPLqdAJDpWtCILQZTx3kfNMZvPJDMlg0BIhiFt4RZLJDpe34HaShtaOjyQFSroUgAABbWV9rSOpV2TiaPKceD45QEWJMtQcXNmc7l7SDYzwxeQICtyTB/tYHE3EQqPISu4hRCJNiL48foOTGmoxvL5DXhlZyP8ARGSLIOhaVgsJiyf35DSeiKvyYHjlzHnmmEDtt+7Pm4uim13NPeAIMngmPgFFoPB3UQoPIasSyGX/XCjYbSn6q6PmyGIMrr6Ajh3uQ9dfQEIohxa55SGatx7y0SMqS9FRYkFY+pLce8tE1MSi1jX5NAp14DnFsu2O9o6GZqCzcKFPa8QbxaEwceQtXDzHYk2mnp0sd0Db0AEBTUwJkky+nwypHZP6DmZssaiXRNJktHW6UdNpS3sxvD9RePx/UXjC37bHc09cMNVNaqbRJBI8xlCTsm64LrdbqxYsQIvvfQSzpw5g9/85jehf2ttbcXUqVPx8ssv4+TJk1i7di3cbjdmzZqFp59+GiybveXlOxJtVPAlSYEiK5ABiIo6WJIKPp5pol2THjcPNsaNoRAFKpabJvJGcGVdacHfLAiDj6wK7tGjR7F27Vo0NTUBAObNm4d58+YBAFwuF1auXInHH38cALBmzRo8++yzmDZtGp544gls3boVq1atytrajKQuZTOoFkvwLRwdmgJh4Wj4eDEsC0FRtPyDzAtutGsiSjIqS81hz9OmVeTbBx5JMn554qMl5IOs+nC3bt2KdevWoaamZsC/bdiwAStWrMCVV16Jixcvwu/3Y9q0aQCAZcuWYdeuXdlcWsJ0omNn2vHKzkZ8c6kXXX1+fHOpF6/sbMzY3KpovkWvT0CvT0S3hwegoKXTNyDlC0Bw7ln6gyWPnWnHhjeO4JHfHsSGN44AwIBrUl9lA8uGz1RThTh2Wli+yLdfnkBIRFYt3PXr10d9vKmpCZ988kno39va2uB0OkP/7nQ60dramtSxqqocAx5zOkvivmahswQLbxgd9d+2/9cheHwCaJoCy9CQFcDjE7B9f1PM1yTDQmcJysrj7rZvAAAOXUlEQVRseGvf12jr9KKm0oY+Ew9RkmAxsbjoCqg+26AlS0G1aSkANE2B4+iE5xeNQydb8da+r3H+ch+8fgEldg7lDjPcfgG/3/M1/s+yKfj1T+eFPf/lt45BktU0qoAgAQrAcTTsFhYU1S/8LEOhy80nva5UziManW4eJVZja9KuQ2unF7WVNiybPxazrqrNyDqAzJ1TIUHOKX3yEjR78803sWrVKphM6sQDJYoZp//RGKGjww1ZN2I8WlOUZLjYpr6WgrqNp3SPp/O+eq6otuGh5VNCfz/y24OwWVgIogxekEFTAEUFCxmCiqsAcFg5DKu0Jb0O/ZbbFxAgyQq63TxoSo3ai5SEN3c34orq/qGVV1TbsGLh2AGulWhpYQFBQoXDlNS60v2c9FQ6TIbWpL8OFo6Gq8uLF7d9nrHijEyeU6FAzin665MlL4K7Z88ebNmyJfR3bW0t2tv7t+oulyuqGyK3UKCo8BsBlaGtfCz0fl2WpSEIUr9LQVFdCSxDg2PplAJW+i23JCtgaAqy0t8DOFaWRix/Z6GMmdF87ZGjkmKtiTSnIeSLnAtuZ2cn/H4/Ro4cGXps+PDhMJvNOHz4MGbOnInt27dj7ty5uV5aGLUVFrR0+iBDCW3nFQUYVpm9LIbwoBWFAK8+rlWQKQpQYmVTtsT0mREsQwebrqs9gIHkmr4USjWW3lqtKDGjl+bh9gmQJBn11faoa8p3SiBh6JJzwb1w4QKGDRs24PGNGzdi7dq18Hg8mDRpElavXp3rpYWxfMHYsLaHDE3BYmawfMHYrB1TL2Id3X4wDAWaoqAoCkwMDbuVg7PMkrKo6S1orem6rKjiG1m4YCTiXwiR/khrtcxhhsXMotxuwiOrZkR9Tb5TAglDl5wI7t69e0P/PWXKFGzdunXAcyZOnIht27blYjmGmNJQjXuXXJVzC04TMc2fGxkASscK01vQFhODEpsJbq8AE0cPaLpeLNvuVKxVMnWXkC+GbKWZEfQWnLa9fm336ZyIb3WZBa1dPvgCIkRJBquzcFMl0g1QW2HF3y6eEPU8jAhZITT/ScVaLRR3CGHoQQTXAPlodDNxVDlOX+gGBbULmCDK6O4L4KbJA90xyWDUDZBIyAqh+Q+QurVaCO4QwtCDCK4B8rG9bmzuRqnNBB8vQRRlsCwNh5VFY3M3bkvjfY1apYmErFBcDsRaJRQTRHANkI+odnuPH6V2E8ocmfPhJlv6CsQWskKK9BNrlVAsEME1QD6i2tGOGRCktI6ZrFUaTcg0C7nHHUCvh0eZwxRqdUgi/QRCfIZsP9xkyEfv12jHFEUlrWO29/jjTmlIhL6Hb3mJGZIso7M3AI+PL9h+uARCIUEs3Aji+Thz6SeMdsy7bp4YVnabLOla6mEWcrBBTHdfAD1uAQ3DrcR3SiAkgAiujkQ+zkyLSaIAVuQx0639Tjf/NNJvazWzsJgYeP1izCIDAoHQD3Ep6Mhlez+jI3YySbrTdGNN8CV+WwLBGMTC1ZHLyHsu0qqMTj8wCqnQIhDSgwiujlxmI2Rb3LNRmJCqL7sQKtIIhEKACK6OeBZcpkUj2+KeLQs6WQu5UCrSCIRCgPhwdcTycQLIuL8126lm6aaAZQoy9oZA6IdYuBFEs+A2vHEk49ZitlPNCqUFYSFVpBEI+YYIrgGyJRrZLEktlABXoQg/gVAIEJeCAYoxHSrdFLBMkY8qPQKhUCEWrgEKxVpMlkJo6kK6eREI/RDBNQARjfQoBOEnEAoBIrgGIaJBIBDShQguISlIEQOBkDpEcAmGIUUMBEJ6kCwFgmFIEQOBkB5EcAmGKZTqNQKhWCGCSzBMMeYjEwiFBBFcgmFIEQOBkB4kaEYwDMlHJhDSgwguISlIPjKBkDpZdym43W7ceuutuHDhAgDgs88+w5133oklS5bgH/7hH8DzPADg5MmTuP322/Gd73wHTz75JERRzPbSCAQCIadkVXCPHj2KlStXoqmpCYAqvg888ACeeeYZvPfeewCAbdu2AQDWrFmDp556Cn/84x+hKAq2bt2azaURCARCzsmq4G7duhXr1q1DTU0NAODAgQOYNm0aJk6cCABYu3YtFi1ahIsXL8Lv92PatGkAgGXLlmHXrl3ZXBqBQCDknKz6cNevXx/297lz52Cz2XD//fejubkZs2bNwmOPPYYTJ07A6XSGnud0OtHa2prUsaqqHAMeczpLUlt4AUPOqTgg51Qc5Pqccho0kyQJ+/fvx5tvvon6+no8+eST2Lx5M+bMmTPguRRFJfXeHR1uyLIS+tvpLIHL1Zf2mgsJck7FATmn4iDdc0pFrHOah1tdXY2pU6di5MiRYBgG3/3ud3Hs2DHU1taivb1/PpjL5Qq5IQgEAmGwkFPBvfHGG/Hll1+ipaUFAPDBBx/g6quvxvDhw2E2m3H48GEAwPbt2zF37txcLo1AIBCyTk5dCnV1dXjmmWdw3333IRAI4KqrrsKjjz4KANi4cSPWrl0Lj8eDSZMmYfXq1Um9N00PdEFEe6zYIedUHJBzKg5yfU6UoihK4qcRCAQCIV1ILwUCgUDIEURwCQQCIUcQwSUQCIQcQQSXQCAQcgQRXAKBQMgRRHAJBAIhRxDBJRAIhBxBBJdAIBByBBFcAoFAyBGDUnDfeecd3HLLLVi0aBFef/31fC8nZf7t3/4NS5YswZIlS7BhwwYAwMGDB7F06VLcfPPN2LRpU55XmBq/+tWv8NhjjwEYHJM+9u7di2XLlmHx4sV49tlnART/57Rjx47Qd+9Xv/oVgOL8rCInzsT6XHJ2bsog4/Lly8qCBQuUrq4uxePxKEuXLlW++uqrfC8raQ4cOKDcddddSiAQUHieV1avXq288847yrx585Tm5mZFEATl3nvvVfbt25fvpSbFwYMHleuvv1559NFHFUVRlCVLliifffaZoiiK8vjjjyuvv/56PpeXNM3NzcqNN96otLS0KDzPKytXrlT27dtX1J+T1+tVrr32WqWjo0MRBEFZvny5cuDAgaL7rD7//HPl1ltvVa6++mrl/Pnzis/ni/m55OrcBp2Fe/DgQdxwww0oLy+HzWbDd77znaKcHuF0OvHYY4/BZDKB4zg0NDSgqakJV1xxBUaOHAmWZbF06dKiOrfu7m5s2rQJ9913HwAMikkff/rTn3DLLbdg2LBh4DgOmzZtgtVqLerPSZIkyLIMn88HURQhiiJYli26zypy4syxY8eifi65/B4Ouqm9bW1tYdMjampqcOzYsTyuKDXGjRsX+u+mpibs3LkT99xzz4BzS3YyRj75x3/8Rzz00EOh9pyRn1Uqkz7yzblz58BxHH74wx/C5XJhwYIFGDduXFF/Tg6HAz/96U/x3e9+FxaLBddddx04jiu6zypy4kw0bWhtbc3p93DQWbhKlOZnyU6PKCS++uor3HvvvXj00UcxatSoAf9eLOf23//936irq8Ps2bNDjw2Gz0qSJHz00Uf49a9/ja1bt+KLL74I+Qv1FNN5NTY24g9/+AM++OAD7N+/HzRN48CBAwOeV0znBMT+vuXyezjoLNza2locOnQo9HdbW1vRTo84fPgwHnzwQTzxxBNYsmQJPvnkk7DJGMV0bjt37oTL5cLf/M3foKenB16vFxRFFf2kj+rqasyePRuVlZUAgIULF2LXrl1gGCb0nGL6nABg//79mD17NqqqqgCoW+wtW7YU/WcVOVlG+1xyOXFm0Fm43/rWt/DRRx+hs7MTPp8Pu3fvLsrpES0tLbj//vuxceNGLFmyBAAwdepUnD17FufOnYMkSXj33XeL5tz+4z/+A++++y527NiBBx98EN/+9rfx3HPPFf2kjwULFmD//v3o7e2FJEn48MMPsXjx4qL9nABg4sSJOHjwILxeLxRFwd69e3HdddcV/WcV6/eTy4kzg9LCfeihh7B69WoIgoDly5djypQp+V5W0mzZsgWBQADPP/986LEVK1bg+eefxwMPPIBAIIB58+Zh8eLFeVxl+qQ76SPfTJ06FT/60Y+watUqCIKAOXPmYOXKlRgzZkzRfk433ngjTpw4gWXLloHjOEyePBk//vGPsWjRoqL+rMxmc8zfT66+h2TiA4FAIOSIQedSIBAIhEKFCC6BQCDkCCK4BAKBkCOI4BIIBEKOIIJLIBAIOYIILoFAIOQIIrgEAoGQIwZd4QOBoCHLMn75y1/i6NGj8Hg8UBQFzz77LEaPHo3HH38czc3NKC8vh9PpxLhx4/DAAw/gzJkzWL9+Pbq7uyFJEu655x4sX74836dCGCQQwSUMWo4ePYq2tja8+eaboGkamzdvxr//+7/DZrNh7NixePnll9HW1oZly5Zh3LhxEEURDz74IDZs2ICrr74afX19uOuuuzB27NhQ6z4CIR2I4BIGLdOnT0dZWRl+//vf4/z58/j4449ht9vx6aef4n/+538AqC36tPLOpqYmNDc344knngi9h9/vx4kTJ4jgEjICEVzCoGXfvn1Yv349fvCDH2DhwoUYM2YM3n77bbAsG9aSj6bVUIYkSSgtLcWOHTtC/9be3o6SkpKcr50wOCFBM8Kg5cCBA1iwYAFWrVqFyZMn4/3334ckSZg3bx62bdsGAOjq6sL7778PiqIwevRomM3mkOC2tLTg1ltvxfHjx/N5GoRBBGleQxi0nDlzBj//+c8hiiIYhsGsWbOwe/du7NixA2vXrg0FzRRFwfz58/GjH/0IjY2NoaCZKIpYvXo1Vq5cme9TIQwSiOAShhyvv/46Jk2ahOnTp4PneaxatQoPPPAA5s2bl++lEQY5xIdLGHKMHTsW//RP/wRZliEIAhYvXkzElpATiIVLIBAIOYIEzQgEAiFHEMElEAiEHEEEl0AgEHIEEVwCgUDIEURwCQQCIUcQwSUQCIQc8f8Dyx6VCqpU87wAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's use the lmplot function within seaborn\n", "sns.lmplot(x = \"age\", y = \"bounce_time\", data = data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It would seem, from this simple analysis that older people do spend longer time on the website. To go into this further let's look at what the coefficients estimated are within our linear model. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quick Review of Simple Linear Regression\n", "\n", "We will start with the most familiar linear regression, a straight-line fit to data.\n", "A straight-line fit is a model of the form\n", "\n", "$$\n", "y = b_0 + b_1x \n", "$$\n", "\n", "where $b_1$ is commonly known as the *gradient*, and $b_0$ is commonly known as the *intercept*. So for our dataset, `y` would be the bounce time, `x` their age, `b_1` the rate of change of the bounce time with respect to `age` and `b_0` the intercept when `age` is 0.\n", "\n", "$$\n", "time = b_0 + b_1age\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use Scikit-Learn's ``LinearRegression`` estimator to fit this data and construct the best-fit line:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import LinearRegression\n", "\n", "# construct our linear regression model\n", "model = LinearRegression(fit_intercept=True)\n", "x = data.age_scaled\n", "y = data.bounce_time\n", "\n", "# fit our model to the data\n", "model.fit(x[:, np.newaxis], y)\n", "\n", "# and let's plot what this relationship looks like \n", "xfit = np.linspace(-3, 3, 1000)\n", "yfit = model.predict(xfit[:, np.newaxis])\n", "plt.scatter(x, y)\n", "plt.plot(xfit, yfit);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can have a look at these parameters within the model object, with the relevant parameters being ``coef_`` and ``intercept_``:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model slope: 6.279602007970818\n", "Model intercept: 201.31646151854164\n" ] } ], "source": [ "print(\"Model slope: \", model.coef_[0])\n", "print(\"Model intercept:\", model.intercept_)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
MethodRMSE
0Linear Regression14.928334
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" ], "text/plain": [ " Method RMSE\n", "0 Linear Regression 14.928334" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# and let's store the rmse\n", "y_predict = model.predict(x.values.reshape(-1,1))\n", "RMSE = sqrt(((y-y_predict)**2).values.mean())\n", "\n", "results = pd.DataFrame()\n", "results[\"Method\"] = [\"Linear Regression\"]\n", "results[\"RMSE\"] = RMSE\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So from this we would say quite confidently that as age increases so does the bounce time. (To test if this increase is significant see the take home challenge 1.)\n", "\n", "However, to run a linear regression a number of assumptions about the data need to be met. One of these is that the residuals are **homoscedastic**, which means that the residuals are normally distributed in relation to the predicted value, i.e. are our predictions equally bad (or good) across our predicted values. We can look at this by plotting the residuals, using my new favourite package yellowbrick:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#!conda install -c districtdatalabs yellowbrick\n", "import yellowbrick\n", "from sklearn.linear_model import Ridge\n", "from yellowbrick.regressor import ResidualsPlot\n", "\n", "# Instantiate the linear model and visualizer\n", "visualizer = ResidualsPlot(model = model)\n", "\n", "visualizer.fit(x[:, np.newaxis], y) # Fit the training data to the model\n", "visualizer.poof() # Draw/show/poof the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Actually not toooooo bad - you could say that there are more positive residuals than negative residuals at the highest and lowest predicted value ranges, e.g. predicted value < 195, and >210 there are more positive residuals than negative. You can have a look at this also using seaborn's `residplot`:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.residplot(x = \"age_scaled\", y= \"bounce_time\", data = data, lowess = True)\n", "ax.set(ylabel='Observed - Prediction')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Okay, so perhaps its not ideal...\n", "\n", "Let's check some of the other assumptions. For a good list of the assumptions (with code in R), have a look here http://r-statistics.co/Assumptions-of-Linear-Regression.html. \n", "\n", "One of the other key assumption is that the observations of our data are independent of the other data. When we collected our data we were doing it in 8 different counties and in 3 locations within each county. So we could check this by comparing the bounce times for each county. To do this let's use one of the categorical plots in seaborn:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.catplot(x=\"county\", y=\"bounce_time\", data=data, kind = \"swarm\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ah... clearly there is substantial grouping - us Londoners seem to have short attention spans (maybe...). So we can definitely say that our data is not independent, and thus it is inappropriate to use a linear model for this data. \n", "\n", "What next? Well maybe we could do a separate regression for each county." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Separate Linear Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Same as before, we are going to fit a linear regression to the data, but first separating it by county. Mathematically, this now looks like:\n", "\n", "$$\n", "time_c = b_{c0} + b_{c1}age\n", "$$\n", "\n", "where the subscript *c* here represents the county. As a result we will be estimating 8 different intercept and 8 different gradients, one for each county. Let's have a look at that using the facet grid options within `sns.lmplot`." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's use the lmplot function within seaborn\n", "grid = sns.lmplot(x = \"age_scaled\", y = \"bounce_time\", col = \"county\", sharex=False, col_wrap = 4, data = data, height=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now we have 8 different analyses. This is fine, but we have started to reduce our sample size a lot already as a result, and we are now perhaps going too far in the other direction from before. Before we were saying that all counties were identical, whereas here we are saying that the impact of `age` on `bounce_time` share no similarities between counties, which is probably again not true.\n", "\n", "In addition, what about our location variable, maybe our data is also not independent when looking at location. Let's have a look at this too, using a swarm plot:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qU15eztSpU8nIyKCsrIyxY8fStGlTZsyYgWEYNGvWjNmzZ+Pu7s7y5ctZtmwZ7u7ujB07ll69epkdX0SqMcPhwGK1mh1DREREREQuMxWURaRWK927h4zZj2NP20/gbQNo+LeJWCwWs2OZZtWqVQQEBDB37lzy8vLo378/bdu2ZdKkSXTr1o0pU6awbt06OnbsyOLFi1mxYgV2u534+Hji4uKw2WxmP4KIVDN5H68h7cH7KUs/SINbb6P5/Ndw8/Xl6LvLKfrhO/zjetLg1v5mxxQRqRNyl/6HvDWr8Yq6gkb3P4h7gwZmRxKR3+nQsRR+Sv8Kp+GgbcTVNA1qZ3YkERWURaT2MhwOdve7EXvqfgCKNn+Hxd2DhmP/ZnIy8/Tp04fevXsDYBgGVquVefPmYbVaKSsrIycnBz8/P7Zv306nTp2w2WzYbDaaNGlCcnIysbGxJj+BiFQnjoIC9o4airOgAIBj77+LZ7Nm4HRy+KXnAch69WUiZj5J+MNTTUwqIlL7Zc1/hQOTJ7qOC77ZQPRnX5mYyFxnm5kXHh7OrFmzsFqt2Gw25syZQ3BwsGbmSbV1vCSHz39+A6fhACA7P5WbO9xHsH+kycmkrlNBWURqreLtP7qKyScdW/1BnS4o+/r6AlBYWMiECROYOHEiVquVjIwMRo0ahZ+fH23atGH9+vX4+/tXuq6wsPCC909KSrps2UWk+jF+TsL4pZh80uEvv4BdOyu1ZbzyIpl/6l2V0S6bLl26mB1BROSsct9aUum4cOM32FP349msuUmJzHW2mXmNGzdmxowZREdHs2zZMhYtWsSYMWM0M0+qrfSju1zFZAADg4NHd6qgLKZTQVlEai1b4yZYbDaMsjJXm1eLViYmqh4yMzMZN24c8fHx9O3bF4CIiAg+/fRT3nnnHZ599lluuOEGioqKXNcUFRVVKjCfS0xMDJ6enpctu4hUL47oaLZNfQjHsWOutrA+N5F9MA1HaamrzeZfjw4qxIqIXFYeDRtWOrZ4emINqLtLXpxtZt7zzz9PaGgoAA6HA09PT83Mk2qtvnfwGW31vENMSCJSmQrKIlJreYSEEPn0XA5OfwSjtBTvtjGEPzrd7Fimys3NZfTo0cycOZMePXoAcO+99zJlyhSaNWuGr68vbm5uxMbG8uKLL2K32ykrK2Pv3r1ERUWZnF5Eqhurjw+t3nyXAw9PouxAKoG3DSR88qN4BAVz4OEHTpxksRAxdaa5QUVE6oCI6Y9T9N0mKo4eATc3IqY/jntAgNmxTHO2mXkni8mJiYksWbKEpUuXsmHDht80Mw80O08uP8MwaGBtzjHHiZm39a2NOXaggi0Ht5icTOqC883MU0FZRGq1hveOI+jOeMqzDuN1RZs6vSEfwIIFC8jPzychIYGEhAQAJk6cyJQpU/Dw8MDb25vZs2cTEhLCsGHDiI+PxzAMHnjgAY08FpGzqnfNtcRsrPxLTcP7xuMXdzVFP3yPf484vNtq8xgRkcvNt0MnYnfuo3DTN3i1isKzaTOzI5nubDPz1q5dy/z581m4cCGBgYH4+fn9ppl5oNl5UjW60pXisnwMw8DXs77ZcUQAsBiGYZgd4lKy2+0kJSWpYxcRqULqe0VEzKH+V0Tk7HJzcxk2bFilmXkrV67k7bffJiEhgYBfRm/n5OQwevRo3n33XcrKyhg4cCArV648b5+qvldE6jqNUBYRERERERGRWuX0mXkOh4OUlBTCw8MZP348AN26dWPChAmamSci8j/SCGUREfnd1PeKiJhD/a+ISNVT3ysidZ2b2QFEREREREREREREpGZQQVlERERERERERERELooKyiIiIiIiIiIiIiJyUVRQFhEREREREREREZGLooKyiNQqjsJCSnYlYzidZkcREREREREREal1VFAWkVrjyNtv8mOrxiR1iSGpSwyle/eYHUlEREREREREpFZRQVlEagVHcTFpD/wNZ2EhAKUpu0l/bBqOggIyX/oHaZMmkL/+v+aGFBERERERERGp4dzNDiAicilUZGfhyM+v1Fa6J4Xdt99M4cZvAcheNJ9Wb75Lg779zIgoIiIiIiIiIlLjaYSyiNQKns2a4x0TW6nN76rurmIyAIZBzr8WVnEyEREREREREZHaQwVlEak1Wr/zAUFDhuLTuSvh0x6j0YRJYLFUOsfNz9+kdCIiIiIiIiIiNZ+WvBCRWsMzsgktFr1RqS1k5BhyXl8EgLVePcIefNiEZCIiIiIiIiIitYMKyiJSqzWbN5+g+KHY01Kp/+feeAQHmx1JRKRWKc/NJXv+POzpBwkaMIj61/fBcDo5svwtijZ/h3/cNQTeMdDsmKYqLy9n6tSpZGRkUFZWxtixYwkPD2fWrFlYrVZsNhtz5swhODiY2bNnk5iYiK+vLwAJCQn4+2t2jYicnyM/n7SH7uf4px/jHd2Wps/Pwzu6rdmxRESkllJBWURqPf8ecfj3iDM7hohIrWM4ney65QZKkrYDcGTpf2j15rsUfLuBrFdeAiB7YQIlu5OJeHSGmVFNtWrVKgICApg7dy55eXn079+fxo0bM2PGDKKjo1m2bBmLFi3i0UcfZceOHbz22msEBgaaHVtEapCD0x7hyJuLASjY8BV74gcSk5iE5bTl30RERC4FraEsIiIiIr9J0dYtrmLySTmLXyfnn5U3QM1eOL8qY1U7ffr04f777wfAMAysVivPP/880dHRADgcDjw9PXE6naSlpTFz5kwGDx7Mu+++a2ZsEalB8tevq3RcmrKL8sxDJqUREZHazvQRytu2beO5555j8eLF7Nixg8ceewybzUZ0dDTTpk3Dzc2NsWPHcuzYMTw8PPD09OS1114zO7aIiIhInefe4MxRtO6BQbh5++AsKXG1Wf38qjJWtXNy+YrCwkImTJjAxIkTCQ0NBSAxMZElS5awdOlSiouLGTp0KKNGjcLhcDB8+HBiYmJo06bNBX9GUlLSZX0GEanenE2bw949vzaEhLA9PQNL5mHzQl1CXbp0MTuCiIicwtSC8qJFi1i1ahXe3t4AzJgxg+nTp9O5c2deeOEFVq9eTb9+/UhLS2PNmjWariMiIiJSjXi1aEnoX8aSvejECGT34BDCJj2MX5dupE0af+IkNzfCpz1mYsrqITMzk3HjxhEfH0/fvn0BWLt2LfPnz2fhwoUEBga6isgnvxt3796d5OTkiyoox8TE4OnpeVmfQUSqr7L/+yf7Rt5FwTcb8GgURuTfnyfoyivNjiUiIrWUqUteNGnShHnz5rmOs7Ky6Ny5MwCdO3dmy5Yt5Obmkp+fz7333suQIUNYt27duW4nIiIiIlWs6QvzaPvN97Ra9h6xSSl4X9GG0L+Opd2mrTR7dSExP/xE8OC7zI5pqtzcXEaPHs3kyZMZMGAAACtXrmTJkiUsXryYyMhIAFJTUxkyZAgOh4Py8nISExNp166dmdFFpIawhYXTZO4LWAODKD+cyb6Rd5H50j/MjiUiIrWUqSOUe/fuTXp6uus4MjKSzZs3c+WVV7Ju3TpKSkooLy9n9OjRDB8+nOPHjzNkyBBiY2MJCgo677017U9EajtN/ROR6sK3Qyd8O3Sq1OYT0x6fmPYmJapeFixYQH5+PgkJCSQkJOBwOEhJSSE8PJzx40+M5O7WrRsTJkygX79+DBo0CA8PD/r160fr1q1NTi8iNUXG7MdxHD1y4sDpJGPWY4SMuBv3gABTc4mISO1j+hrKp3r66ad56qmnePXVV+natSs2m43g4GAGDx6Mu7s7QUFBREdHs3///gsWlDXtT0RERESqg+nTpzN9+vSLOnfMmDGMGTPmMicSkdqo7HDl9ZKN0lIcecdUUBYRkUvO1CUvTvfVV1/x3HPP8e9//5u8vDzi4uL49ttvXbtiFxUVkZKSQosWLUxOKiIiIiIiIlJ9nL68kF+PP+DZrLlJaUREpDarViOUmzZtysiRI/H29uaqq67i2muvBeDrr79m0KBBuLm5MWnSJAIDz9xRXERERERERKSuanjfeKz16nFszWq8oqIIu/8hsyOJiEgtZTEMwzA7xKVkt9tJSkrSkhciIlVIfa+IiDnU/4qIVD31vSJS11WrJS9EREREREREREREpPpSQVlERERERESkhnGWlFCctB2n3W52FBERqWNUUBYRERERERGpQfLXfcGPVzRlR/fObLuiGQUbvwHg6Afvse+vozj03LM4CgpMTikiIrVVtdqUT0RERERqvvKsLA48+hBF33+Hf9w1RD7zHO4NGpgdS0Sk1kh94G84jh4FoCI3hwMP3k/ImHtImzDWdU7BV+u4YvUnZkUUEZFaTAVlEREREbmk9v1lBPlffg6Aff8+HEVFtFq8zORUIiK1g+F0Yt+3t1Jb6b495P7nX5Xa8td9gf1AGp5NmlZlPKlh8krKWLhxN5n5JQzp3JwrmwSbHUlEagAteSEiIiIil4zhcLiKyScd/1wj5ERELhWLmxsNbulXqa3BrbfhHhhU+TybDauff1VGkxrG6TTo9eqnPLpmKy9vSObqeR+zbs9hs2OJSA2gEcoiInVIeXk5U6dOJSMjg7KyMsaOHUt4eDizZs3CarVis9mYM2cOwcHBzJ49m8TERHx9fQFISEjA31+/lIjI+VmsVrzatKU0+WdXm0+7GBMTiYjUPs3mv4ZHRGOKfvgO/z9cTfjUxyj5OYmCjd/g/GXt5LAHH8E9MNDkpFKdfZOazfbMY65jh9Ng0cYUerVqZGIqEakJVFAWkRqrcMv3ZC+cj8VqpeHYv+HTvoPZkaq9VatWERAQwNy5c8nLy6N///40btyYGTNmEB0dzbJly1i0aBGPPvooO3bs4LXXXiNQv4iIyP+oecJC9o68i7IDaXi2ak3TF181O5KISK3iXr8+Tee+UKnNr9tVdPh5H/nr/4t36yi827YzKZ3UFP6eHme2ealMJCIXpp5CRGqk0pTdJPfuhVFaCsDRFcuJ+eEnPCOb/OZ7lh3OxL5/H75duuFms12qqNVKnz596N27NwCGYWC1Wnn++ecJDQ0FwOFw4OnpidPpJC0tjZkzZ5Kbm8uAAQMYMGCAmdFFpAbxu7I70V9+Q8H6ddS77no8grUeo4jI5eYsLeXQM7PIW7sar9ZRRD7zHN5tos2OJdVYx4hA7ohtwortBwAI9LHxQM+2JqcSkZpABWURqZGOvv+uq5gM4Cwq4tiq92k07v4LXpv38RoynnoSR0E+oXf/lUbjHyArYR4Hp07GqKjAIyycK1Z+VCtHdZxcvqKwsJAJEyYwceJEVzE5MTGRJUuWsHTpUoqLixk6dCijRo3C4XAwfPhwYmJiaNOmzXnvn5SUdNmfQUSqP+PLzzGefhzKy8HTE8uTz2Lp/gezY10SXbp0MTuCiMhZZTz1OFkJLwNgT91P6d49tP9xJxY3bZ0k5/b28J6s23OYzPwSboqOoIGPp9mRRKQGUEFZRGokj4ZnruvlKCoiZcgAnMVFhN59Dw1u7Q+cGK3hOJ6HR8NG2NMPsmfIAIzycgAOPjoZa1AIB2c+ilFRAUB55iEyZj9OqzffqbLnqUqZmZmMGzeO+Ph4+vbtC8DatWuZP38+CxcuJDAw0FVE9vb2BqB79+4kJydfsKAcExODp6e+hIrUdT8OuZ3yX/pZ7HY8X19E+3HjzQ0lIlLLHf/8s0rH9n17se/dg1frKJMSSU1gsVi4rnWY2TFEpIbRq0oRqZECBw7Gr3sP17Ffjzgyn3uWvNUfkP/FZ+y5ayAFX68n960l/NiqMT+2bMzO668lb81qVzH5pPxPP6o02hnAnn6wSp6jquXm5jJ69GgmT57sWsJi5cqVLFmyhMWLFxMZGQlAamoqQ4YMweFwUF5eTmJiIu3a1b4R2yJy6RkOBxXZWZXayrMyTUojIlK7lWWkU3HsxKZqPu1jK31mbdAAW+NIM2JJDZeZX0xxWYXZMUSkGtMIZRGpkaw+PrT5bD2F323EYrVSunsXhfeM/vUEw+DI8rfIfXOxq1hcuPEbbOERZ9zLP+4aSvftpTjxB1db0MA7L/szmGHBggXk5+eTkJBAQkICDoeDlJQUwsPDGT/+xOjBbt26MWHCBPr168egQYPw8PCgX79+tG7d2uT0IlLOQXnrAAAgAElEQVQTWKxWAgcN4cibi11tQYOHmphIRKT2cRQVsXfoII5/9gkWm42wSQ/T+ImnKN2bQtF3m3APbUizeQtw+2W2mcjFOFpsZ8AbX/HV3iz8PT34e9/O/LWHRriLyJkshmEYZoe4lOx2O0lJSZp2LVLHFHyzgeTevSq1NfzbRLJeebFSm//VPanf+0YOPTsbZ2kpQYOG0CxhEY5jxzg09xnse3YTcPOthNz9VywWS1U+Qo2mvldETuUsLeXwKy9S9MNm/OOuoeHY8VjcNY7hclD/K1I3Zb74HOnTp1Rqa7dpK57NmnP807X4xHbCq5UGA1wuNbnv/WzXIX7OOs71UWG0bRRQ6bOHV2/hH//92XXsYXUjbcbtNPTXiwkRqUzf7EWkVvCPu4aQUX8h543XwDDwv+Zawh6ZxtEVyynPPOQ6r/4NfQh7YDINx47HKC/H6u8PgFtoKE3nvmBWfBGRWsXNy4vwh6Zc+EQREflNSnfvOqMt75O1HH7pHziOHgWLhcZPPEXYpIdNSCfV1YMrf+DF9TsBsLpZeHt4T25r38T1edLhvErnlzuc7M7JV0FZRM6gNZRFpNZoNm8+sT/vJeaHn2jz0Rd4NGhA1PsfUv/63ni1voLwR6bR6P4HgRPFjpPFZBERERGRmiTgxlsqHbv5+pK//r8niskAhkHGU09QkZd3lqulLjpeUsar3/z6IsLhNPj7l0lkFZQwbe1WRi/7lpZBfpWuCfHzpGtkUFVHFZEaQCOURaRW8YxsUunYJyaWqPfXmJRGREREpPYoKD1Kau5PeLr70CKkA+5Wm9mR6qwGffvRbN4Cct54DWtAA8IfncGBhydVOsew23HkHcM9IOAcd5G6xGkYOE9b8bSswkmvVz9lV06+q21Y1xZsOXiEiPo+PH1zJ7w9VDYSkTOpZxAREREREZHzOlZ0mDXbEqhwlgGw+/B33NThPtwsmvRqlpBRYwgZNcZ1HDxkKAdO2WTar0ccns2amxFNqqEGPp4M79qC1zfvdbX1iY7g2S+SKp1XWu7gp4dvrep4cgH2imIMw8DLw9fsKCKACsoiUouUZ2WR+cLfsaemEnjbHQTdGW92JBEREZFaYdfhTa5iMkBuYTqHj+8jPKCViankVA3H/g1rQAB5a1bj1TqKRhMmXfgiqVP+b2B3/hwVxo7DefRpE0F9L48zCspBvjVrk8HazjAMNu9bTfLhTWAYtAztzB9a36GXeWI6FZRFpFYwDINdt/ahZMdPAOR9uBJnaSkhI0ZTkrwT+4FU/K++FquPj8lJRURqP3taKqn330fR99/hH3cNTV+ej61RmNmxROQSs2AxO4KcJnjIUIKHDHUdOwoKOPTcMxT/uJV6f7yOhn+biJuHh4kJxUxWNzcGd6o8an1Et5b8+/sTo5bD6nnz4B/bmhFNzuFQXgo7M791He/J3kJ4gyhahHQwMZWICsoiUkuUJG13FZNPOvL2m5Tu28Phf/wdAPeQUNp89AXebaLNiCgiUmfsGzOCwo3fAJC39kMMwyDqnZUmpxKR36NNWA/2Zm+l3GEHINg/kkb1tZyC2RxFRVh9zz0Fft+Y4eStWQ1A/hefUZ6dRZNnnquqeFID/GvwH7gv7goy84v5U+swfGwqE1UnecVZF9UmUtU0Rl5EagWP0IZgtVZqs9YP4PALv35hrsjJ5tDcZ6o6mohInWI4HK5i8kkFG74yKY2IXCoBPg3p3/kBujW/matbD6RPzF+xaMq1aYp+TOSnLu1JbFifHT27U7pvL4bDQeYLc9l5fU/23/cXSlJ2k7f2w0rXHX13uUmJpTpZtnU/PV5aS895H/Phz+l0jQyib7tIFZOroYgGUVgqle4sNG5whWl5RE7SNwARqRU8GjYifMp0sJyYeukRFk7wXcPA6ax0XkW23uaKiFxOFqsVnw6dKrX5du5qUhoRuZR8PQNoF3ENrRp2wd2qZRPMtP8voyjdtROA4sQfSLv/PjL/MYf0GY9SuPFbcv/zOnuGDcY9OKTSdbbGjc2IK9XIt/uzuWvJ12w+cIRvUnO4/fX/kpx13OxYchp7RQkOZwUBPg3pFT2UEP8mBPk1pmfUnYTWa2p2PBEteSEitUfEozMIHjIUe1oqft3/gMVmwye2I8Xbf3SdEzx0hIkJRUTqhuYLX2ffmBGU/LQN367daDZvgdmRRERqDafdTsnOHZXairZuoeLo0UptpUnbiZzzPOmPTcUoLcXaoAGRT/29KqNKNfRRckalY4fT4JNdh2jTsL5JieRU5RV2vtr1FunHkrFZvejW/GZaN+pGkyCtbS3ViwrKIlKreDZrjmezX9fzi1r1MVmvvIA9NZUGtw0gsN9tJqYTEakbfNrFELNxC067HTdP7RYvInIpuXl64ntVd4q+2+Rqq9ezF7i5Ubxt66/n+foSMnwUwYPvoiT5Z3w6dj7vestSN7QJPbNw3DzQl8z8YsLqaQNzs/2U8RXpx5IBKHOU8u3e94kIvAIfWz2Tk4lUpoKyiNQ6RYk/cGzV+3g2a0HQkKE0fvwpsyOJiNRJKiaLiFweLf+1hLSJ4yhK3IL/NdfS9IVXcOQdo3jbVuz79+Hm7U2Tv7+A1d8fAP+4a0xOLNXFnR2b8emuTN5M3I+bBf7QLIS7lnxNcbmDP7VuxPIR1xLgbTM7Zp11rCiz0rFhOMkrOszx4hychoOwgJa4WaznuFrMcmzVB+T8+59Y6wcQNulhfGLamx3pslNBWURqlbxP1pIysL9r7eRjK98j6v01JqcSEZG6rLy8nKlTp5KRkUFZWRljx44lPDycWbNmYbVasdlszJkzh+DgYJYvX86yZctwd3dn7Nix9OrVy+z4IlINeTZtdsZ3XI+QENr/uJOSnTuwNW6Ce0CASemkOnO3uvHv+Dieu7ULmfkldHl+DU7DAOCLlMP84787mHVjpwvcRS6X8IDWHDy603XsYfUi8cDn5BYcACDQN4wb29+Lh7te2lcXx9d9zp74Ab8ef/YxsT+l1Po+WAVlEalVshe8WmkjvuOffUJpym68WkeZmEpEROqyVatWERAQwNy5c8nLy6N///40btyYGTNmEB0dzbJly1i0aBFjxoxh8eLFrFixArvdTnx8PHFxcdhsGikmIhfHYrXiExNrdgypAUL8vPgx46irmHzSjsPaoM9MbcK6U1pexL6crfjY6tGofiu2Hfzc9fnRokz25iTSJqyHiSnlVMdWvFvp2HHsGPlffk7g7QPOcUXtoIKyiNQqlrP90m214igocE35ExERqUp9+vShd+/eABiGgdVq5fnnnyc0NBQAh8OBp6cn27dvp1OnTthsNmw2G02aNCE5OZnYWBWHRETk0uvRLIQG3jaOlZS52m6KjjAxkVgsbnRqej2dml4PwM5DG884x15eXNWx5DxsTZpcVFtto4KyyO9QWJrHd/tWcaQwnUb1W3JVy754umsjAzM1mvgQx7/4DKO0FAC/q3uy8889qcjOov71vWnx+tJaP/VERESqF99fNsEqLCxkwoQJTJw40VVMTkxMZMmSJSxdupQNGzbgf8rLT19fXwoLCy/qZyQlJV364CIi1USXLl3+52vOttzQn/70JwCefvppmjdvzpAhQwCYPXs2iYmJrv46ISGhUn9cW/l5evDRX//EjI9+5HBBCXd1bsHdV7UyO5acomlwO7amfUKZ48Tvt+5uHjQP6WByKjlV6F/vI2/NKoq2/AAWCyGj/4pf1yvNjnXZqaAs8jus3/0W2flpAOzL2YphOLm2zRCTU9Vt/j3iaJ+4g7yP1uAe2pD994zCKD7xBvf4Z59w6JknaTLneZNTiohIXZOZmcm4ceOIj4+nb9++AKxdu5b58+ezcOFCAgMD8fPzo6ioyHVNUVHRRRc0YmJi8NQmiCIiLmdbbqhTp048/PDDpKamcvfdd7vO3bFjB6+99hqBgYEmJjZHtybBfHzPn82OIefgY6vHzR3GkZy5Eafh5Iqwq6jnHWx2LDmFe0AAbb/aRPH2H7HWq49ns+ZmR6oSKiiL/EYVjnJXMfmkQ3kpJqWRU3k2aUrDe+6jcMv3rmLyScXbfjQplYiI1FW5ubmMHj2amTNn0qPHiTUPV65cydtvv83ixYsJ+GXmTGxsLC+++CJ2u52ysjL27t1LVJT2ABAR+S3OttxQUVER48ePZ/369a7znE4naWlpzJw5k9zcXAYMGMCAAbV77VOpGRzOCqxu7tT3CeGqlreaHUcuwCe2o9kRqpQKyiK/kbvVg3reIeSX5LjaAn3DTEwkp/Np1x734BAqcn/9N6r3x+tMTCQiInXRggULyM/PJyEhgYSEBBwOBykpKYSHhzN+/HgAunXrxoQJExg2bBjx8fEYhsEDDzygUccick6G04k9LRVbeARu6ivOcLblhiIjI4mMjKxUUC4uLmbo0KGMGjUKh8PB8OHDiYmJoU2bNhf8GVpuSC6HYudR0ss2YzcK8HULJtJ2FR4WLa0pVe98yw2poCzyO1zdeiAbdi+joPQoDXwa0b1Vf7MjySncvLxo/e5KDj46GXtaKoG33UGjSQ+bHUtEROqY6dOnM3369Is6d9CgQQwaNOgyJxKRmq4keScpd96Gfe8e3IOCab7wXwT0vsnsWNXO2ZYbOp23tzfDhw/H29sbgO7du5OcnHxRBWUtNySXmmEYvLflOexGAQBFzlyKfVO5LnqYyclEKnMzO8C2bdsYNuzE/xg7duxgwIABxMfHM2vWLJxOJwCvvPIKAwYMYPDgwWzfvt3MuCKVhNZrwu1dJjPkqpn06zyR+t4hZkeS0/h1vZLoz76i4+40msx5HjebzexIIiIiIiK/y4EpD2LfuweAiiO5pI67h/LcXFIG38H39T35qUt7Cr7ZYHJKc51cbmjy5MnnXcIiNTWVIUOG4HA4KC8vJzExkXbt2lVhUpFf2SuKKSg9UqkttyDdpDQi52bqCOVFixaxatUq15vAGTNmMH36dDp37swLL7zA6tWradWqFZs3b+add94hMzOT8ePHs2LFCjNji1RisVjw9ND0ExERERERqRqlu5IrHZcfzuTgtIfJ+3DlL5/vZM+wwXRI3l9nB1ScvtwQnKhBeHl5VTqvZcuW9OvXj0GDBuHh4UG/fv1o3bq1GZFF8PLwJcCnIXnFWa62IL8Ivt+/5sSmfI2uJMCnoYkJ5VwMpxMsFiwWi9lRqoSpBeUmTZowb948Hn74xBT0rKwsOnfuDEDnzp354osvOH78OFdffTUWi4Xw8HAcDgdHjx6tk7uvioiIiFRnhd9tJOf113Dz8aXhfePxatWaoyvfJ+PJmTiO5xEyagzhU2fWmS/aIiKXS8CNt5C9MMF17HtV9zM2n67IzqIsLRWv1nVzc8/zLTd0cv36k8aMGcOYMWOqIpbIBf2xzV1s3PM+x4oyaVi/OVnH93Pw6M8ApGR9T79O9+PvFWRySjnJqKgg7aGJ5C5+Hat/PRo/8RQhI0abHeuyM7Wg3Lt3b9LTfx26HxkZyebNm7nyyitZt24dJSUlFBYWuna+hhML6xcUFFywoKzF8UWktjvfAvkiIlWtaNtWkvtch1FeDsDRd9/mig8/Zd+IIRgVFQAcemYWni1bETz4LjOjiojUeJFPzcHiaSP/i8/xjm5LxJNPk/XS85Qk/bpEpEdYOJ7NW5iYUkR+iwCfUG6MvQeA5MxNHDy60/VZhaOMfdk/0qHJn8yKJ6fJ+fe/yHltAQAV9hxS/3YP/lf3xKtlK5OTXV7ValO+p59+mqeeeopXX32Vrl27YrPZ8PPzo6ioyHVOUVER/v7+F7yXFscXERERqTpHl7/lKiYDVBw9QvY//89VTD6pYMNXKiiLiPxObt7eNJ45i33p6Rx9/12Of/Ep4VOmEzjgTvLWrsar9RU0fWEeFvdq9Su/VEOGYbBuz2Ey80u4KTqCBj6qo1QnNnevs7Rpyc3qpOiHzZUbDIOiLT/U+oKy6Zvyneqrr77iueee49///jd5eXnExcXRuXNnvv76a5xOJ4cOHcLpdGq5CxEREZFqxj0k9Iw2305d4LTlLXw7aXaFiMilkJXwMsfefxecThx5eRyc+jCNn3iKLtn5tPvme/yu7G52RKkB7vzPeq5f8DnD3/yGqGc+IDnruNmR5BRNgtoR7B/pOg7waUjL0E4mJpLT+V/ds3KD1Ypfjz+YE6YKVavXlU2bNmXkyJF4e3tz1VVXce211wLQtWtX7rzzTpxOJzNnzjQ5pYiIiIicLmTE3Rx5cwklP59YdsynU2dK9u0h5K9jOfbO2zgKCwgeOpKQkXebnFREpHYo3r6tcoPTSXHST3g2bWZKHql5fsw4yortB1zHR4vLeGH9z/zfwB4mppJTubt5cFPsWDLz9uA0HEQEROHmZjU7lpwiKH4YpSm7yXnjn1gDAmg8cxaekU3MjnXZWQzDMMwOcSnZ7XaSkpK05IWISBVS3ysiAIbDQcGGr8h9awlHlv7H1R7xxFM0mjAJNw8PE9PVTup/RequnDf+Serf7nEdu/n4EHTXcPLXfYF31BU0nj0H76grTExYe9WWvnfDviz++Oqnldru7NiMN4ddY1IiEakpqtWSFyIil1p51mEOTHmQlCEDOLJ8mdlxRERqNYvVin/PP3LsgxWV2rPnv6JiskgtkV+SS2l5odkxBAgeMZrwaY/h2aw5vl27Uf+mvuQsWoB9Twp5az8kZVB/DKfT7JhSjcU1CyU2rIHr2Opm4a89WpuYSERqimq15IWIyKVkGAa7+vZxTb/OW/0BRpmd4KEjTE4mIlKLWSxYTisen34sIjVPWUUpX/z8Bln5qVgsbrRv/Ec6N73B7Fh1msViIeLRGUQ8OgOApB6V16i370nBvm8vXq1UIJSzc3Oz8OV917NoUwqZ+SUM7tSMq5qGmB1LpMbJ+2QtOW/8C/eAABpNfAjvK9qYHemyU0FZ5Hcosh9n877V5BamE1a/Jd1a3IKnu7fZseQXJT9tcxWTTzqybGmdLiiXl5czdepUMjIyKCsrY+zYsYSHhzNr1iysVis2m405c+YQHBzM8uXLWbZsGe7u7owdO5ZevXqZHV9EagCLxULY5EdJn/aIqy384akmJhKRS2HnoW/Iyk8FwDCcbD/4Jc2DO9DAt6G5wcTFu207Sn76dV1la0AAtojGJiaSmqCBjycPXxdjdgyRGit//X9JGdAPfllROG/NamKTUrDWq2dysstLBWWR32H9rrdcX6z3ZG/BaTjoecVgc0OJi3tIKFit4HC42jzCwk1MZL5Vq1YREBDA3LlzycvLo3///jRu3JgZM2YQHR3NsmXLWLRoEWPGjGHx4sWsWLECu91OfHw8cXFx2Gw2sx9BRGqAsPsfxL/7Hyj8YTP+f7ga305dLnyRiFRr+SW5Z7aV5qqgXI1EPvk0pSm7KU78AfegYJrNW4Cbtwa7iNQkxWUFHDiyAy8PX5oEtnVtwFdkP47TcODvFWhyQjnd0XfedhWTASqOHuH4F58ReNsdJqa6/FRQFvmNKhzlrmLySRnHdpsTRs7KFhZO+ORHOTTnKTAMPMLC6/wouT59+tC7d2/gxJIgVquV559/ntDQUAAcDgeenp5s376dTp06YbPZsNlsNGnShOTkZGJjY82MLyI1iN9VPfC7SrvEi9QWTYLasTdnq+vYZvUirH5LExPJ6WwRjWm3fhNlhzMp3raVjCcfI+3BCQTfNYyImbOwuGkLJZHqLK84mzXbEih3lAIQVr8VN8SM5uuUd9mbvRUwaBLUjj9eEe8qNIv5bBERF9VW26igLPIbuVs9qOcdXGm0RgPfRiYmkrOJmP44QXcNpywtFb8ecbjV4F2YLwVfX18ACgsLmTBhAhMnTnQVkxMTE1myZAlLly5lw4YN+Pv7V7qusPDCG/AkJSVd8BwRkZqsSxeNtpa6qWlwDHGtB5CS9T2e7r50bPInbO5eZseq0wynkyNvv0nR95vxv7ongbcPAMDNw8beYYNxFhcDkPncHGwRkYT+5V4z44rIBew89I2rmAyQeXwPSRlfszc70dV24MgO9uduo2VoZzMiylmE/vU+jq5837XkUPCwkfhd2d3kVJefCsoiv8PVrQfy1a63KLLnEeDTkO4t+5sdqU6zp+4n88V/UJGbQ/DQ4QT0uRkAr+Yt8GrewuR01UdmZibjxo0jPj6evn37ArB27Vrmz5/PwoULCQwMxM/Pj6KiItc1RUVFlQrM5xITE4NnHS/ai8gJhsNBWeYhbOERGhUnUku0btiV1g27mh1DfnHgkQfJnj8PgOyFCZTufpzwKdMp/OE7VzH5pPz/fqmCskg15zQcZ7QVlh49o+1sSxCJedwDA2n37Q8U/bAZa/0AvKOuMDtSlVBBWeR3CK3XlAFdH6a0vBhvm5/Zceo0Z0kJO6+/lvLMQwAc+2AFUR+swadjF7JeeQF7WhqBtw2gwa11u+ifm5vL6NGjmTlzJj16nJiKvnLlSt5++20WL15MQEAAALGxsbz44ovY7XbKysrYu3cvUVFRZkYXkRqkYNO37Bt5F2XpB/Fs3oJWS5fjE9vR7FgiIrWG4XCQ8/qiSm3ZixYQPmU6Pu07YHF3x6iocH3m00mjGUWquysadWdv9o84jRP/7wb5RtA2PI6UrO9dxWYLFiKD2poZU87CYrHg1+0qs2NUKYthnLJydC1gt9tJSkrSKDmROibvk7Wk3HFrpbagIXdR8vPPFG/7db2/Fv9aTNCgIVUdr9qYPXs2H330ES1anBix7XA4SElJITw8nHq/7ELbrVs3JkyYwPLly3n77bcxDIN77rnHtfby2ajvFZFT/dSlPaW7drqOfa+8irZffmNiotpL/a9I3WQ4nWxt1gjH0V9HL3q2aEXI3X8hb81qLBY3in9OwpF/nMDbB9I8YZE26LuE1PfK5ZJXnM3+nG14efjRqmFnPKyeZObtISljPU6nk7YRcUQGRpsdU0QjlEWkdrCFhZ/RZnF3r1RMBshd8u86XVCePn0606dPv6hzBw0axKBBgy5zIhGpbQyHg9LdyZXaSnb+bFIaEblYRwoz2Ju9FS8PX6IaXYmXh6/ZkeQ8LG5uREx9jAMP3X+iwc0Nn44dSZ/2iOsc7/YdaLvuAG5eWutazu39nw7w0KofyMwvYWiXFrxy+5XY3LXhm1kCfELp1PT6Sm1hAa0IC2hlUiKRs9OCdiJSK/jEdiRk5BjXsVfrKELvGQenrdvpHhJa1dFEROoUi9VKvT9V/kUo4IYbTUojIhcjOz+NNdsS+PnQ1ySmfcJH2//vrGt5nupIYQYb93zA9/s+pKD0CAB7s7eyfPMzLPl2Jpv3rcYwnFURv85qeO842m3aSrOERbRP3IF9795Kn5f8tI2yQxkmpZOaIKewlLuWbCD1aBH2Cif//G4PL67feeELpUplHNvNxz8t5KPtC0jL1Sbo1ZVRUUEtWwTivFRQFpFao9krC4j54SfafPwlMd9vx7djZxrdP8n1uXtIKOEPTTExoYhI3dBi4RsEDRmKV+sogkfeTdOXEsyOJCLncer6nADHS7I5nLePI4UZJGdu5FjR4UrnHyvKYu32+ew6vIkdh77mwx8TOFKQwde7l1NcdpwKZxk/H/qGlKwfqvpR6hyfmPaEDB+FV6vWeDZrXukzN19fPDSYQs5ja8ZR7BWVX/xsTM0xKY2czfHiHD7/+Q0OH99HVn4q65KXklNw0OxYcgqjooLUCfexJbQePzYLI+f118yOVCW05IWI1CrebaKBX9eUipz1LIEDBlOavJOAW27F6qvpmyIil5tHaCgtFr1hdgwRuUjubrYz2tKP7eLnQ1//cmQhrvUdtG7YFYB9OVtxOH/d8M1eUcSurM0YVB6ZlZ2fRlSjKy9bbqks4rFZFP2YSFlaKhYvL5rMeR6rv7/ZsaQa6xwRiJe7ldKKX18oxTXXS4jqJP3YrtNmexikH91JiH+kaZmkspw3/knOvxYCUHEkl9QJY/G/5lq8WrU2OdnlpRHKIlKr5S5byq5brmff3cNIuf0WynNzzY4kIpdAdv4BtqZ9xv6cbTg1pVpE5HdpGxFXac3kxg3asDc78ZQzDH488LnryNPd54x7BPlGYDnt18vQes0udVQ5D++oK4jdvou233xPx90HCBl5t9mRpJoL9vPirWHX0CrYH1+bO/f0iOL+ntrwrTqp7x1yRlu9s7SJeYoST5uNYxgUJW4xJ0wV0ghlEam1Ko4dI238vThLSgAo+GYDh56ZRdN/vGRyMhH5PfblbGP9rmXwy0i4Vsd2c3XUQHNDyRnsBw9QvDUR3yuvwtYozOw4InIe/l5B3N5lMgeP7sTbw49G9Vvw5qYnKp3jcFaw+/BmUv6fvTuPjrq6/z/+nC37vhKyEBLCGgIYkB1FUHBBsKUoVLAi9isiiLZSq4itgkuxrW394UY30RZprYq7FRe0KAjIEiDsCSQEyL5MkplkZn5/ACMRBJQhnyyvxzk9h3vnzicvTo9D5v25n/c9sh6b2Z8Q/0hqHOUAdAhPI6NDNlaLjY357+FsrKNr/AAy4rON+Ou0ayaLheA+/YyOIa3ItZnJXJup3a4tVWJkV7p2uJjdh7/EA3SOyaJzbJbRseQkoUOHU/LCX71jk9VKyOAhBiZqHiooi0ibVb9vj7eYfELdtq0GpRERX9le+Bmc9Fj13qMb6d/5qia768RYJf98kf233QIuFyabjfQXlhM5brzRsUTkDPysAaTHfV2I7J4wmJzCT7zjhPB01uz5j3dsNftzSbcpBNiC6RCehslkIj2uX5NriEjLZ3c08MKGfRyuqmNS31R6dYgwOpKcxGQyMaTLD+iXcjkej4cg/zCjI8k3RE+ZimPfXo7+dSnWiEgSFzyEf3KK0bEuOBWURaTNCurdB1uHBBoOF3nnwq8Ya2AiEfEFk8n0zRlMfHNOjFQw/15wHevH6GlooGDBfSooi7Qy2aljiSRKwCcAACAASURBVA5JpKT6APHhnckryWnyeqPbgdlsISEi3aCEInK+PB4Plz/zAWsPHGsL+JsPt7Fq5uUMUR/lFifQT/3QWyqTyUTiA78m8YFfn31xG6IeyiLSZpn9/Oj6nzcIG3U5/l0ySLjnl3SYc7fRsUTkPPVOurRJn85uCQPxt53az1OM4XG7aSwvazLXWKr+9SKtjclkonNsFgPSriEluhfhgTGnrDldb08RaT0+zyv2FpMBnC43T6/ZZWAiEWkttENZRNq0oKy+dHv9HaNjiIgPpUT3ZPxFd1JQtpPI4A50jGjbJyi3NiazmZgp0yj+21LvXMy0nxgXSER8okfHoRRV7uVw5T7MJgu9ky4lIki7GEVaMz+r5ZQ5f6v2HYrI2amgLCIiIq1ORFA8EUHxRseQb5Hy+z8R2LMXNevXETp0OLE3zzA6koicJz9rAGN7/5Tq+jJsFn/1rRdpA/onRzO2e0fezT0EQKi/jTnDexicqn2rqithy8GPqG+w0yU+m9SY3kZHEjktFZRFRERExKfMNhvxt89GJf9jGhoauO+++ygsLMTpdDJz5kxGjRoFwCOPPELnzp2ZPHkyAAsXLmTjxo0EBx8r1i1ZsoTQUPVNlJYjNCDK6AhyBlUff0jF228S0LUbMVN/gtnf3+hI0sK9Pn0kb24voKi6jvG9kukYrjZiRml0NfDOlmepa6gGoKA8l1E9ppEc3dPgZCKnUkFZREREROQCWrlyJRERESxevJiKigomTJhAv379mDdvHnl5edxyyy3etdu2bWPp0qVERaloJyLfTenL/2DfLdO848oP3iNj+X8MTCStgdViZkLvFKNjCHC4cp+3mHzC/pIt1DjK2XzwIzweNz0Th9En+TKDEop8TQVlEWnzPG437vp6LEG62y4iIs1v7NixjBkzBgCPx4PFYsFutzN79mxWr17tXed2u8nPz2fBggWUlJQwceJEJk6caFRsEWlljjy3pMm44s2VOAsL8EtMMiiRiHwXwf7hp8yZMLF23xve8Vf57xMdnEhSVLfmjCZyChWURaRNK3/jdfLvnk3D4SLCx15F2tIXsIaf+g+1iIjIhXKifUVNTQ1z5sxh7ty5JCcnk5yc3KSgXFtby4033sjNN9+My+Vi2rRpZGZm0r1797P+jJycnAuWX0RaB3eju+mExcKW3FxMh48YE8iHsrOzjY4gcsFFBnegZ8ehbD+0BvAQERRPaGD0KeuOVuepoCyGU0FZRNosV1UV+269CXdNDQCV77zFocceJuXRJwxOJiIi7U1RURGzZs1iypQpjBs37rRrAgMDmTZtGoGBgQAMGjSI3NzccyooZ2Zm4q9eqSLtWtXDj7DruqvxOBwAxM+8g5RRow1OJSLfxcVp4+jRcSj1DXZiQhIpri5g04EPmqyJDe1kUDqRr5mNDiAicqHU7d7pLSafULtxg0FpRETaJo/HQ8X773D4qSep25l7xrXVaz6jcNGvKX/jdTweTzMlNF5JSQnTp0/nnnvuOWMLi7y8PCZPnozL5aKhoYGNGzfSq1evZkwqIq1Z2IhL6b05l9T/9xzd//sJKY/91uhIIvI9hAZEERuajMlkJi4shYs7X0OALRg/SwD9Ui4nOersN5pFLjTtUBaRNiuoV2+s0TE0lpZ450Iv1QEGIiK+lD/3Dor//CwABfPvpcvL/yH8iispX/ka9i+/IHTocCKuvIbiv/+FvFk/9b4vftYcUh7/nVGxm9UzzzxDVVUVS5YsYcmSYz1On3/+eQICApqsS09PZ/z48UyaNAmbzcb48ePJyMgwIrKItFL+ScnE3jTd6Bgi4kM9E4fRM3GY0TFEmjB52tj2EIfDQU5Ojh77ExEAatZ+zoFf/hxHXh5R100k+dHFmP38jI7V5uizV6R9aiguZlN6Iri/7tsZOnQ4wQMHcfh3i71zSb9eRMk/XqR+5w7vnMnPj34FJTow9Tzp81dEpPnps1dE2jvtUBaRNsVZWICz6BDB/bIxWSyEDBxMzw//Z3QsEZG2ye2Gb+xNcDc2cvTZJU3mjiz5E9aobxwqYzZjMpkudEIREREREfEx9VAWkTbj0GML2dwjjR2XDmHrRb1wHDxgdCQRkTbNFh9P1KTJX0+YTMTPmoPpG0+CmPz96fCzeXBSATl+1hzMxw+fExGR8+ey29l/x//xVeeO7LjiUmq3bDI6kohIu+B2OKh4722qv1hjdJRmox3KItImOAsLKHzkIe9j1469eyha/BjRU27k4C/uxpGff6zlxWNPYNZjaSKtmqOxljW7X6WgPJeIoDgGp19HTGiS0bHarbRn/0LEmCup35lL+NirCBkwkIbCAg7+8h7vmo6/uJ+YG35MYPceVH20iqA+fQm/7HIDU4uItD2FDy+g5G9/BqCm+Ci7r/8BWTm7MVksBicTEWm7Go4cZsfoETj27wMg4ppryVj+H4NTXXgqKItIm+AsLGjSwxPAkZ/HnknX0VhWCsDR55/GGhND4v0PGhFRRHxk/f53yC/dCkBpTSEf5b7IxP7zMJn04JURTFYr0SfvUgY6zL6LkMFDsX+5jtChwwjK6gtAcN+LCO57kRExRUTavKpPPm4ydh48gGPfXgIyuhoTSESkHTjy7BJvMRmg4s2VVH+2mtBhIwxMdeHpm5eItAnB2QPwT0tvOnfxxd5i8gnVqz9uxlQiciEcrcprMrY7KrA7Ko0JI98qsHtPQgYOIiCjm9FRRETaheB+TW/YWaNj8EvpZFAaEZH2obGs7Jzm2hoVlEWkTTBZLHR74z1ifzKDsNFX0PmZP5Mw+27MISFN1gVdlG1QQhHxldjQlCbjIL9wgvzDDUojp1Px/jts7prC9hGD2NStE9WfrTY6kohIm5f0q0WEjRwFgF9KJ9L+8oJavYmIXGAxU27EZP26AYStYyJho68wMFHzMLzlxebNm3niiSdYtmwZO3bs4MEHH8RisZCamsqiRYswm80sXLiQjRs3EhwcDMCSJUsIDQ01OLmItDT+nVJJfeqZJnNpf15G/t2zaThUSMTV40j85QKD0omIr/TvfBWOxloKynIJD4pjSJcfYFa7ixblwN1zcFVVAeAqK+PAvLvptWa9walE5Hy53I0crtxHgC2Y6JBEo+PIN9ji4uj2xnu4amsxBwZiOukgVBFpvY5W5bOtcDVuj5seHYfQMSLD6Ejtmsftpnzla9RtzyH88jGEXDyIbu9+SMmLf8caHk7czNlYgoKMjnnBGVpQfv7551m5ciWBx0/4fuqpp5g1axaXXHIJP/vZz/j444+57LLL2LZtG0uXLiUqKsrIuCLSCkVePY6Iq67B43Rqh4ZIGxFgC2ZUz5uMjiHfwuNy4TiQ32TOkb/foDQi4iu1zire2fIM1fXHHuNNi+3LiG43GJxKTqc9FDJE2ovq+jLey3kel7sRgILynYzrcwdRIR0NTtZ+5d81m+I/PwvAoUcfJu3PLxA9aTKhg4YYnKx5GbqdJyUlhT/96U/ecY8ePaioqMDj8WC327FarbjdbvLz81mwYAE33HAD//73vw1MLCKtkclkUjFZRKSZmCwWIsdNaDIXed1Eg9KIiK9sP/Q/bzEZYF/xJkqqDxqYSESk7TtYut1bTAbweNzkl24zMFH71lhRQfHfln494fFw+I+/B8BVXY3b4TAoWfMzdIfymDFjKCgo8I5TU1N56KGHePrppwkNDWXgwIHU1tZy4403cvPNN+NyuZg2bRqZmZl07979jNfOycm50PFFRAyVna1+0CLSMnV+5s/4p6ZS8+U6QocOp+O8+4yOJCLnqd5Zc8pcXYPdgCQiIu1HSEDkOc1JMzGZMJlMeJrMwd5bplH2r+WYg4NJvP9BOtwx16iEzcbwHsonW7RoES+99BIZGRm89NJLPPbYY8yfP59p06Z522IMGjSI3NzcsxaUMzMz8deORBEREZFmZwkNJXnRb4yOISI+lB53EXuPbsRz/Gt0sH84CRHpBqcSEWnbkqJ6kBrTm7ySrQB0jOhKWmxfg1O1X9bwcGJvncnRp493WzCbCcrMomTZ3wBwV1dz8N6fEz56DIHdexgXtBm0qIJyeHg4ISEhAMTFxbFx40by8vKYO3cur732Gm63m40bN3LdddcZnFRERERERKT9SIhI54rMW9hzZAP+tmB6dhyG1WwzOpaISJtmNpm5tPuPqawrxuNxExEUb3Skdi/lN78jfPTl1G3fRvjoKzjy9FOnrKndukUF5XNVWVnJ4sWLOXDgAH/4wx/4zW9+w7333kt4ePg5X2PhwoXcddddWK1WbDYbDz/8MElJSYwfP55JkyZhs9kYP348GRk60VJERESkJfO43TQWF2ONi8NkMhkdR0R8ICGiCwkRXYyOISLS7oQHxhodQY4zmUxEjLmKiDFXARA2cjQlL/z169f9/AgdNtyoeM3GZwXlBx54gKFDh7JlyxaCg4OJi4vjnnvu4bnnnjvj+5KSklixYgUA/fv3Z/ny5aesmTFjBjNmzPBVVBFpZzxuNx6nE3NAgNFRDNfQ0MB9991HYWEhTqeTmTNnMmrUKAAeeeQROnfuzOTJk4FjN/k2btxIcHAwAEuWLCE0NNSw7CLSetSsX8e+n/wYR95+AjK6kb5sOUGZvY2OJSIiIiLiU9E/uh5nwQGK/7oUS0QkifMfxC+ho9GxLjizry5UUFDA9ddfj9lsxs/Pj7vuuovDhw/76vIiIt9L+Zsr2dy9MxtiQ9k9aQKNlZVGRzLUypUriYiI4B//+AdLly7l4YcfpqysjBkzZvDhhx82Wbtt2zaWLl3KsmXLWLZsmYrJInLO8mbeiiNvPwD1u3eSf9csgxOJyPlqdDewv3gLe49uxNlYb3QcERGRFiPhrnvI2rKTXqu/IOKKK42O0yx8tkPZYrFQXV3tfaQxLy8Ps9ln9WoRke/MVVXFvhnTcNccO5W84u03OfTYw6Q8+oTByYwzduxYxowZA4DH48FisWC325k9ezarV6/2rnO73eTn57NgwQJKSkqYOHEiEydONCq2iLQiHpeLuh3bmszVbt1iUBoR8YVGdwNvb15Cmb0IgGD/CK7pcweBfiHeNXXOahpcTsICo42KKSIiIs3EZwXlOXPmMHXqVIqKirj99tvZtGkTjzzyiK8uLyLyndXt3uktJp9Qu3GDQWlahhPtK2pqapgzZw5z584lOTmZ5OTkJgXl2tpabrzxRm6++WZcLhfTpk0jMzOT7t27n/H6OTk5FzS/iLQS2RfDhnXeoTv7YjZsaBufv9nZ2UZHEGl2B0u3e4vJAHZHBXuOrqd30qUAfLn/bbYXfoYHNwnh6VzWcxo2i79BaUXk2zgaXTy7ZhcbC8sYlZHA1P5pRkcSkVbKZwXl4cOH06tXL7Zs2YLL5eKhhx4iJibGV5cXEfnOgnr1xhodQ2NpiXcu9JKRBiZqGYqKipg1axZTpkxh3Lhxp10TGBjItGnTCAwMBGDQoEHk5uaetaCcmZmJv7++QIpxPB43DS4nflb1TDdSw4r/cGDe3dSsX0fo0OGkPPZbrFFRRscSkXNUUJbLxvz3cTTW0jV+AEH+px603uhqAKCkuoBthV/flC6q3MvOoi/ITLqk2fKKnM53OTtkxYoVLF++HKvVysyZMxk5sm1+Z7h1xee8tOFYS6pl6/dxsMLOfaN1xoGIfHc+KyiXlZXx1ltvUXm8P+mOHTsAuOOOO3z1I0REvhNzQABdXv4PB3/5cxx5eURdN5GEn/3C6FiGKikpYfr06SxYsIDBgwd/67q8vDzmzp3La6+9htvtZuPGjVx33XXNmFTk2+07uokdRWswmyxkJY8kMbIrAIXlu1iz5xXsjkriwzpzSfcpBPmp97cRbPEdSP/7P4yOISLfQ62zig93vIjb0wjAVwf+y+D0CQT5hVPrPPZdz2bxx2q2kVeyFZe78ZRrVNWVNmtmkdM5cXbI4sWLqaioYMKECfTr14958+aRl5fHLbfcAkBxcTHLli3jlVdeweFwMGXKFIYOHYqfn5/BfwPfsjsaWP5VXpO5P6/dzQ39UnlsVQ5FVXXcmJ3G9f1SDcknIq2LzwrKt956K127diUxMdFXlxQROW+hg4bQ86M1RsdoMZ555hmqqqpYsmQJS5YsAeD5558nIKDpbs709HTGjx/PpEmTsNlsjB8/noyMDCMiizRxpHI/q3ct945XbT/Addl3E+QXzqe7Xqa+wX5sXdV+Nux/m+HdrjcqqohIq3S0Ks9bTPbOVR9gXN872H1kPXXOavYWb2JD/rsAxAQnYTX70eh2etenRPdq1swip3OuZ4ds2bKFfv364efnh5+fHykpKeTm5pKVlWVU9AvCz2ohxM9KZX2Ddy48wI+R/+99CiprAXh7RyEWs4mJfToZFVNEWgmfFZQBHn30UV9eTkREfGz+/PnMnz//tK/Nnj27yXjGjBnMmDGjOWKJnJHL3Uh57WHCAmI4WJbb5DW3x0Vh+S46RnT1FpNPKLUfas6YIiJtQlRwR8AEeLxzkUEdcLldZCWPZEPeuzgba72vldgLuLjzOIoq9+BsrKNrh4EkRXVr/uAi33CuZ4fU1NQQGhra5H013ziH5du0tvNDfpoZzRPrD+MB/MwmhsRaefpQeZM1z370FZ0bS05/ARFpV850dojPCsqjR4/mX//6F4MGDcJisXjnO3bs6KsfISIiIu1MSU0Bq7b9nbqGaqxmP9LjLjpljZ8liDpnNSEBUdTUl3nnEyK6NGdUEZE2ISwwhoFp1/JV/ns0uJzEhiaz6cAq1ue9TXRIElHBCae8JzggglGJNxmQVuTMzuXskJCQEOz2r29K2+32JgXmM2lt54dkZ8Mto6vYdKic4Z3jqHI08PTm15us6d05UQfQishZ+aygXF1dzXPPPUdkZKR3zmQysWrVKl/9CJFWoaHRQe7hz6mqKyEluhfJUT2MjiQi0mp9ue8t6hqqAWh0O8kr2UpqTG/ySnIwYSI6JJFPdy3Hg4cgvzBiQztR4ygjOaoH2Z3GGJxeRKR16tFxMN06XEx9g53/bFhMo/vYI/KlNQUE+4djNdu8c2GBMSRFakeytDznenZIVlYWTz75JA6HA6fTyd69e+natWszJm1eGbFhZMSGAdCBQO4Z2YsnPt6GxwPdYsP4+aVqWdPSuD1uDlfsxe1x0TEiA7PZcvY3iVxgPisov//++3z++een9OEUaUsqa4uxOyuJD0vFYj79fz6rdvydw5X7ANh9ZD3DMn5El3jd4RUR+T5qHGVNxo5GO0O6/JCL066lvqGGN776I57jj2XXOqtIiurO1X1mGhFVRKRNMZstOBprvYXjE+qc1YzrN4e9R7/CzxJARnz/b/29WMRI53p2SGxsLFOnTmXKlCl4PB7uuuuuVrXr+Hw9ds1F3DakK0eq6xiQHIPZbDI6kpzE5W7k3a3PUVx9ADjWgujKrNvws6r2Jsby2b/8ycnJVFZWqqAsbdaX+99iW+GnAAT7hzO29/9hwsQXe1+ntKaQDhFp9Ow4zFtMPmHXkS9VUBYR+Z46Rfdm+6HPvOO40E7kFK7GYrIQFZLoLSafYHdUNHdEEZE2KzwojhD/qCY395IiuxEeGMtFna4wMJnI2X2Xs0MmTZrEpEmTmiNWi5QaFUJqVIjRMeQ08ktzvMVkgPLaw+w9+hU9On77rnuR5uCzgrLJZOLqq68mIyMDm83mnX/hhRd89SNEDFNdX8q2wq8LGnZHJVsLPqbCfoSj1fkA7C/eTKOrARNmPLi9a/2tgc2eV0SkrchOHYufNYBDFXsIDYgkv2Sb93M30BZ6St/kzjF9jIoqItLmmE1mRvf6CRvy3qW6vgSr2Y8tBz9m15Ev6Z96JZ1j9ZkrInIhORvrTjNXe5qVIs3LZwXl2267zVeXEmlx6pw1cMouuEpvUeOEo1V59EoaTk7BJwDYLP5kJV/WXDFFRNoci9lK35TR9E0ZzVf5/6XR7fS+VtdQTf/Eq6iuL8XuqKBzbJ/THtonIiLfX0RQHKN6TiO36HO+2Hvs8C67o4LVu14mLiyVYP9wgxOKiLRdnaIz+Sr/vziOF5GtZj86x/Y1OJWIDwrK27Zto1evXphM6rMjbVdMaDJhgTFU1ZV45zLis6mpL6Oyrtg7FxXS8dhujZg+VNWVkBCRToAt2IjIIiJtjtViO2Uu2D+CzKQRBqSRM2koKaHggXupWbeW0KHDSXr4UazhKjqJtGZHq5pupPB43JRUH1RBWaSV21tSzaOrtlJUVceN2WlMvqiz0ZHkJIF+oVzd53Z2Fn2B2+Oma4eBhAVGGx1L5PwLyv/85z9ZuHAhf/zjH095zWQyqeWFtAlmk5mxmT/l872vUllXQmp0JqkxWQT7R/Lpzpepqi8hKrgjg9MnABAd0pHokI4GpxYRaVsy4vuTW/SFt09yZFAHkqK6G5xKTmf/T39C5fvvAlC/cweu6irS//qiwalE5HzEhnZiX/Em79hkMhMTmmxgIhE5X45GFyOXvE9h5bHdr+/mHsJqMfOjPp0MTiYnCwuMYUDaNUbHEGnivAvKCxcuBOCBBx6ga9euTV7btGnT6d4i0irtPLyWg2U7ANhS8BFWix9ZySO5Lvtn1DXUEOQXanBCEZG2LcAWwoSL7mL3kfXsOLSG8trDvLrhCYZmTCQxsuvZLyDNwuNyUfnf95rMVbz7lkFpWoaGhgbuu+8+CgsLcTqdzJw5k1GjRgHwyCOP0LlzZyZPngzAihUrWL58OVarlZkzZzJy5Egjo4t4dUu4mKq6YnYfWY+/LYj+qVdqd7JIK/fZvqPeYvIJKzblqaAsImd13gXlDRs24Ha7mT9/PosWLcLjOdZntrGxkV/96le89957Z7mCSOuw/dBnp4wTI7vy6a4VVNQeITY0hRHdbiA0IMqghCIibZ/N4k9x1QGq60sBqHVW8emuFfxowL1YzD47GkLOg8liIaBLV+p37/TOBXbvYWAi461cuZKIiAgWL15MRUUFEyZMoF+/fsybN4+8vDxuueUWAIqLi1m2bBmvvPIKDoeDKVOmMHToUPz8/Az+G4iA2WRhYPq1ZCWPxGrxw2bx977maKzF43ETYAsxMKGIfFcpkae2Z0yJUMtGETm78/7mtWbNGtatW8fRo0f5wx/+8PWFrVauv/768728SIthNllOGZ8oJgMUVx/g8z2vcUXmdCPiiYi0G2X2oibj+oYa6pzVhAREGpRIvin1/z3L3pum0FB0CL+UTnT6/VNGRzLU2LFjGTNmDAAejweLxYLdbmf27NmsXr3au27Lli3069cPPz8//Pz8SElJITc3l6ysLKOii3g1uJx8kvsPCspzsZht9E0ZTe+kS/hy/1tsP/Q/PB4PabF9GJbxI8xmy9kvKCKGy4gNY97IXjzx8XbcHg894sP5+cieRscSkVbgvAvKs2fPBuC1115jwoQJp13z8ssvq7gsrV5W8mV8uf9N7zgz8RLW7X+jyZrSmoLmjiUi0ua53S6q6ksJDYjCYrbSMaILlXVHva+HBcYS7B9hYEL5ptAhw+izYx/OgoP4pXTCZDYbHclQwcHHdnvV1NQwZ84c5s6dS3JyMsnJyU0KyjU1NYSGhjZ5X01NzTn9jJycHN+GFvmGow25HGnMBcDlbmBD3jscKSyloGGdd82+4k04K2xEWlMNSiltVXZ2ttER2qxHr7mImUO7caS6juykaMxmk9GRRFqdo0ufpfivS7FERJD4ywcIHdb2Dw332bOh31ZMBli+fLkKytLq9UocRlxYCkerDhAflkpMaBL7ijdRUnPQu6ZDeJqBCUVE2p7i6oN8tGMZtc4qAmwhXNJtMtmpY3F7XBwo205kUAcGpl2LyaQvPy2NyWrFP1UnxZ9QVFTErFmzmDJlCuPGjTvtmpCQEOx2u3dst9ubFJjPJDMzE39//7MvFPmeVu/cDcVN54KiPHCk6VxEXCDZnVX8E2lNUiKDT9v+QkTOrnzla+TPneUd7/pyLVk5e7DFxRmY6sJrlu0iJ/oqi7R2saEp9EocRkxoEgAjut1Ax4gM/KyBdIruxaD0b7+xIiIi390Xe1+n1lkFHGtt8fmeV7E7KjlUsYc6ZzXF1QcotR8yOKXImZWUlDB9+nTuueceJk6c+K3rsrKy2LBhAw6Hg+rqavbu3XvKodcizami9qi3zVBSZPcmr1nNfnTtMBCTqelXyqSoputERETasor33m4ydtfWUrX6Y2PCNKNmOb1Gu4akrQoLjOaKzFuMjiEi0mZV1TXdDldVX8qX+9/2HsrX4HLwxZ5XSYnuidVsMyKiyFk988wzVFVVsWTJEpYsWQLA888/T0BAQJN1sbGxTJ06lSlTpuDxeLjrrru061gM4fa4+ST3JfJLtwGQEJ7OqF4/YUDDNew5sh5/WxD9Uq4gJjSJUT1uYkvBR7jcDfRIGKIn9kREpE2r/mw1R5b8CYD4WXMI7HbqjdTA7m3/5qqOQxcREZEWKzmqJ/uKvzpp3N1bTD7B6arH0WDHqj7KLYa7vp7Df/wd9vXrCBk6nPjb52C2td+C//z585k/f/5pXztxHskJkyZNYtKkSc0RS+RbFZTt8BaTAYoq97Lv6Fd07TCAYP9w/K1BxIV1AiApqhtJUd2MiioiItJs6nbmsvPasXicTgAq3n2Lnp98QcRV11Dx9puY/P1J+Pm9BGW2/QOVVVAWERGRFmtw+gT8rYEcqdpPTGgK2Z3GsK3wUypqvz6ULzokUYfytTB5s2+j9J8vAlDx9ps4Dx6k0xNPGpxKRM6V3VF5yly5/TCbDnzgbUOUHNWDUT1vau5oIiIihql483VvMRnA43RS8d7b2BISwWbDHByCX0JHAxM2n2YpKJ/rYSIiIiIiJ7NZ/RmYfm2Tub4pozGbLRwsyyUiKI6LOo0xKJ2cjsflouxfy5vMlb78kgrKIq1IclRP1ue9g8vdAIDJZMbpqvcWkwEOlu3g/MiD9QAAIABJREFUaFW+d6eyiIhIW+eXnHLKnGP/Pkr+/hcAXGWl5M2+jdDhlxCQ3qW54zUrnx3K53Q6efrpp5k3bx41NTU89dRTOI9X7V944QVf/RgRERFp58xmC31TRjOu7x0M7zqJYP9woyPJSUwWC9a4+CZzfh3ax04NkbYiJCCCsb1vJTUmi5ToXlzR6xbMplO/Ojob6w1IJyLSvrg9bg5V7KagbCdut8voOO1a5HUTCR97lXcccdU1eFzf+P/E48G+YX0zJ2t+Ptuh/NBDDxEVFcX27duxWCwcOHCA+++/n8WLF/vqR4iIiIhIK5Dy+O/YN2MaHocDc1AQyY88bnQkaUHcbg+/fn8zL27YR0JoEI9c3Y8R6fFsP1zB02t24fF4uG1IVzITIo2O2q7FhqZwafcp3rHFbGXP0Y14PG4AQgOiSYhINyqeiEi74HI38u7W5yiuPgBAZFAHrsqaic2qQ3uNYLbZ6PrvldTt2A4mE4Hde1Dy0guUvvh37xqT1UrI4CEGpmwePisob9u2jVdffZXVq1cTGBjI448/zrhx43x1eRERERFpJaKu+yGhw0ZQm7OZ4L7ZWCNVGJSvPb1mJwv/uxWAvDI71/75I9bMGcuQP75LteNYi4VlG/ax+efjSI0KMTKqnCQurBNXZd3G3qMb8bcG0z1hEBazjuQREbmQ8ktzvMVkgPLaw+w5upEeHQcbmEoCe/T0/jl6ylTq9+ym+G9/xhoRQeKCh/E/TWuMtsZnvwGYTCacTicmkwmA8vJy759FREREpH2xxcYSPnK00TGkBfpgV1GTcbWjgT99mustJgPUOBr516Z87rmsV3PHkzOIDU0hNrTtf0kWaS88Hg+rdh/mUFUtV/dIIjpYu15bGmdj3Wnmag1IIt/GZDKR9ODDJD34sNFRmpXPeihPmzaNm2++meLiYhYtWsQPfvADbrpJp/6KiIiIiMjX+iZGNRlbzSa6xZ/aCz0q2K+5IomItEs3LPuUMc9+wM3/XEPXR19j++EKoyPJN3SKzsTPGugdW81+dI7ta2AiOR1PYyNVn3yEffNXRkdpNj7boTxhwgQyMzNZu3YtLpeLZ599lm7duvnq8iIiItJOHa3Kp6SmgPiwzkSH6HA3kdbuZ5f2ZFNhGW9sLyAy0I/Hr8lm8kWprPgqj7UHSgDonxzN5H6dDU4qItJ2bTlUzr8353vHFXVOfvfJdpZe3/Z7v7YmgX6hXNNnFrlFX+D2uOjWYSBhgdFGx5KTNBQXkztmJPW7cgGImng96X97yeBUF57PCso7d+7kmWee4fe//z179+5lwYIFPPzww6SlpfnqR4iIiEg7s7XgYzbkvXt8ZGJoxg/pHNOH9XlvU1C2k4igOC5Ou4awwBhDc4rIuQvxt/Hq9JFU1TsJtFmxWY49NPnZ7LF8vPcwHg9c2iUei9lnD1OKiMg32J2N5zQnxgsLjOHitGuMjiHf4uhzS7zFZICyf79M3P/dTujgoQamuvB89lvaAw88wHXXXQdAeno6t99+O/fff7+vLi8iIiLtjNvjZsvBj06a8bDl4EdszH+X3KLPqXGUUVCey6rtL+DxeAzLKSLfT1iAn7eYDGA2m7gsI4FRXRNUTBYRucAGpsRwUdLXLYgsZhM/HdzVwEQirVPDkSPnNNfW+Ow3tbq6OkaMGOEdDx06lLq6U5uHi7Q1FbVH2Xd0EzX16jclIuJbHtwed5MZt6eRwvLdTeYq645id1Q2ZzARERGRVs1sNvHBbZfzi8t60Ss+nAHJ0RyuUg2npXJ7XLjdLqNjyGlE3zAFTroRbo2LJ3z0FQYmah4+a3kRFRXFP//5T6699loA3n77baKjz97XZfPmzTzxxBMsW7aMHTt28OCDD2KxWEhNTWXRokWYzWZWrFjB8uXLsVqtzJw5k5EjR/oqtsh5yS36nC/2rgQ8mExmLu02hU4xmUbHEhFpE8wmC90TBrOtcLV3rmfHYRRXH6Sy7qh3LsAWTKBfiBERRURERFqtAJuFlzbsp6CyFoAv8j/DZjEzsU8ng5PJyTYfWMXWwk/weNx0TxhC/9QrMZlMRseS40KHDKPbyncpXvY3rOERxM+eiyWk7X838VlB+dFHH+XXv/41v/nNb7DZbAwYMIBFixad8T3PP/88K1euJDDw2ImVTz31FLNmzeKSSy7hZz/7GR9//DG9e/dm2bJlvPLKKzgcDqZMmcLQoUPx89Opz2Ist8fNxvz3gWOPWXs8br468F8VlEVEfKh/6pXEhiZTUlNAQng6iZFdsTsqqK4vo7SmgEBbKEMzfojF7LNfaURERETahf/tP+otJp/w8qY8FZRbkMOV+/jqwH+9422Fq4kL60Sn6F4GppJvCrv0MsIuvczoGM3KZ9++OnbsyLPPPvud3pOSksKf/vQn5s2bB0CPHj2oqKjA4/Fgt9uxWq1s2bKFfv364efnh5+fHykpKeTm5pKVleWr6CLfi8fjptHlbDLnbNQjQiIivmQymUiN6U1qTG/vXLB/BOP63kGdswZ/WyBmk8XAhCIiIiKtU1JE8ClzKaeZE+OU1hSeZq5ABWUxnM8Kyp9++ilPPvkklZWVTQ7GWbVq1be+Z8yYMRQUFHjHqampPPTQQzz99NOEhoYycOBA3n33XUJDQ71rgoODqampOWuenJyc7/k3aVk2HrXzxaEa0iMCGJ0ShsWsxxqM1OCpx+GuItAchcVkJdycQrlrv/f1EHcyGzZsMDChtCfZ2dnf+T0NDQ3cd999FBYW4nQ6mTlzJqNGjQLgkUceoXPnzkyePBlA7YakxVObCxEREZHvr2tsGPNG9mLxx9vweKBHfDg/H9nT6Fhykg7haYCJE09GH5tLNyyPyAk+KygvXLiQe++9l4yMjO/dy2XRokW89NJLZGRk8NJLL/HYY48xbNgw7Ha7d43dbm9SYP42mZmZ+Pv7f68cLcVf1+3htg+2e8d5rkCemzTYwETt2+4j6/l8z9u4PS78LAGM6vUT+oXOYNfhLymtLiAhogtpcX2NjilyRitXriQiIoLFixdTUVHBhAkT6NevH/PmzSMvL49bbrkFgOLiYrUbkhZjf/Fm1ue9Q32DnYz4/lycdo12JYuIiIj4wKPXXMRtQ7pypKae/knRmLWJrUWJDklkaMYP2XrwY9weF70Sh9ExoovRsUR8V1COjIw8791r4eHhhBxvXB0XF8fGjRvJysriySefxOFw4HQ62bt3L127dvVF5Bbvj6tzm4z/9uVeFo/LJjxQBZ3m5nI38uX+t3B7jp2q6nTVsyHvHQanX8fuI19SWlNItaOM+PBUgv0jDE4r8u3Gjh3LmDFjAPB4PFgsFux2O7Nnz2b16q8PPlO7IWkp7I5KVu96GY/HDRw7DDU8MIYeHYfS6Gpg04EPOFy5j5jQRPqlXIG/LcjgxCIibVtVXQk2S4CeEhFpQzpFhdApSv9Nt1QZ8f3JiO9vdAw5g7pdOyl7+R9YIiKIufEnWCMjjY50wfmsoJydnc2jjz7K8OHDm+wMHjBgwDlfY+HChdx1111YrVZsNhsPP/wwsbGxTJ06lSlTpuDxeLjrrrta/c7jc2WzNL0zaDGZMOskT0M0uhtO6Y9c66hm9c7llNceBo41y/98z6uM7nWzERFFzklw8LGeaDU1NcyZM4e5c+eSnJxMcnJyk4JyTU1Nu243JC1HpavQW0w+ITd/E7VFARQ413vbDpXUHKTwSB6p/sONiCntyPdpNyTSFjgb61m1/W8cqcrDZDLTO+kSLuo0xuhYIiIihqrN2cqOkUNw1x2rGRX/9c/0+mIj5jb+dK/PCspbtmwBYPv2r1s0mEwmXnjhhTO+LykpiRUrVgDQv39/li9ffsqaSZMmMWnSJF9FbTXuHdWb619Yjft4T+o7R/QgNMBmcKr2yd8aSFJkdwrKv941nhrTm5zCT5qsK64+2NzRRL6zoqIiZs2axZQpUxg3btxp14SEhLTbdkPSstQ6MihYv9b7hAhA904X0aNjNru+eKvJ2mr3Efr264PF7LNfb0RE5Ljthz7jSFUecOxw6i0HP6JzTF8ig+ONDSYiImKg4r//xVtMBqjflUvVB+8RcdXpv2u3FT77xrVs2TJfXUqO+0FWCituGs7f1+1jcGoMvxjV++xvkgvmkm6T2Vr4MWU1RXSMzKBHwmCKKvZQav/61NW4sFTjAoqcg5KSEqZPn86CBQsYPPjbe7K353ZD0rIE+Ycxotv1rN//LvUNNYQHxbK/eBM1jnJCA6Jw1NR61wb7h6u3sojIBVJdV3rKXFV9iQrKIq3choOlPPDuJg5X1XFjdhp3X6pD+US+C7P/qTuRTQEBBiRpXj4rKE+dOvW0h/GdbYeyfLsVm/L48Yuf4fZ4eGN7AUdrHPx2vPrmGMVm9T/lsb4R3W5gzZ5XKKkpJCE8ncFdJhiUTuTcPPPMM1RVVbFkyRKWLFkCwPPPP0/AN/7Ba8/thqTlSY3JIjUmi//tfoXdR74E4Gh1Ph3C0gn0C6XOWY2fNZDBXa773gcDi4jImaVE92Jv8VfesZ8lgITwdAMTicj5qnE0MPa5DyirdQKw+dAGwgNt3DIww+BkIq1H3IzbKHnxBRpLigEIGTyEsEtHGZzqwjN5PMf7KZyndevWef/c2NjIqlWrCAsL48477/TF5c+Zw+EgJyenTTx2PeD3b7GxoMw7tlnMFD80SW0vRKTFaUufvdJyvfT5r2hw1XvHJkz8ePBDVNeXEhoQjdWifx+l/WnNn78ej0c3gVqZ3UfWs/vIegKsQfRJGUV0SKLRkUQM0Zo/e0/2352HGPvcqiZz4zOT+c/NlxoTSKSVaiwtpfzN17GERxBx1TVtvn8y+HCH8sUXX9xkPGTIEH70ox81e0G5LXG5m9b6PR6Pt5+yiIhIexMaEEmZvcg7DvaPwGqxERncwcBUIvJdORpd3P7vtfxj4346hAXyxLXZ/DCrE5/sPcLvP9mOxwNzL+nByC76b7ulyYjvT0a8npgUaSu6xYVjNpma1Bl6xocbmEikdbJGRxN703SjYzQrs68udOjQIe//CgsL+eSTT6ioqPDV5duluy5p2rtoxqAMwgPb/l0OEZGW4EC5nco6p9Ex5CQD067F3xoEgNXsR2JkN4oq9hqcSkS+qyc/2cHfvtyL0+XmQLmdqS99xhf5xYx99gPe2FbAm9sLuPK5VWw/rO8SIiIXUkpkME9cm02g7dgZFJemx/Pzkb0MTiUirYHPdijfeOON3j+bTCYiIyOZP3++ry7fLk3tn0aXmFDe33mIzIQIrstMMTqSiEibV1Hn5Id//ZiP9x7B32rmV2P6MO+yTKNjCRAf3pkfDfgluw6vZd3+t9h5+At2Hv6CXh2HMSDtGqPjicg5+jy/uMnY0ejmz1/swelye+caXG5ezzlIzw4RzR1PRKRduXNED6Zf3IXKeidJEcFGxxFgz5EN5BSuBiAzcQRd4rMNTiRn4nG7OXjfPRT/dSmWiEiSfrWQmMk3nv2NrZzPCsoffvihry4lJxmcGsvg1FijY4iItBu//2Q7H+89Ahwrctz39lf8MKsT6TGhBicTAKvFRl7pVuDrRzN3FH1OVspl3t3LItKyDe8cxxvbCrzjQJuFwakx/GXdnibrOkWFNHc0EZF2KTTAprOaWoji6oN8tvtf3vFnu/9FeFAcsaHJBqaSMyl54a8ceeoPALjtdvb/33RCBw/FP7WzwckuLJ+1vCgrK2Pu3LkMHDiQ/v37c8cdd1BSUuKry4uIiDSL3KNVTcYeD+wqrvqW1WIEl9vVZOz2uPF43N+yWkRamjkjenD70G6EBdjoFhvGy9NGMK1/OhN6f/1l+ZqeSfyoTycDU4qIiDS/ooo9p8wdqthtQBI5VzXrvmg64XZTs26tMWGakc8KygsWLKB3796sWrWKDz/8kD59+nD//ff76vIiIiLN4pqeSU3GkYF+DOscZ1AaOZ2eHYc0GafF9iHApp2MIq2FzWLmTz+4mPJFN/DGjMuICPTDZIJXfnIpO+4dz/ZfXMvrt4zEZvHZVxUREZFWITI44ZS5hkYHK7/6A69t/D27D39pQCo5k5CBg5tOmM2EXDzQmDDNyGctLw4ePMhTTz3lHd96662sXLnSV5cXERFpFlP7p1FZ5+SF9XuJCw3k12P66BHAFiY97iKC/SMoKMslIiietLi+RkcSke/hZ6+v58nVOwDIiAll1e1X0DU2zOBUIiIixkmK7EavxOHsOPQ5AJ1js9hWuBrP8XZv/9vzCmGBMcSHt+12Cq1JzNSfULdzB8V/XYr1eA/ltt7uAnxYUDaZTBQVFZGQcOxuyqFDh7BafXZ5kRbJ7XGz9+hGSmsK6RCeRmpMb6MjiYgP3DG8O3cM7250DDmDDuFpdAhPMzqGyDlpaGjgvvvuo7CwEKfTycyZM+nSpQv33nsvJpOJjIwMHnzwQcxmMzNnzqS8vBybzYa/vz9Lly41Ov4FsfNopbeYDLC7pJrffryN340fYGAqERERY5lMJgZ0vpp+KZcDsPPwWvayscmawopdKii3ICazmZRHFpPyyGKjozQrn1V877zzTq6//nr69OkDwKZNm3j44Yd9dXmRFmnt3pXsPHysX05u0edc1GkMWckjDU4lIiIiLcnKlSuJiIhg8eLFVFRUMGHCBLp37+49f2TBggWsWrWKyy+/nPz8fN566y1MJpPRsS+owsraU+YKKk6dExERaY+sFj/g9C0wok4zJ9LcfNaYbNiwYUyaNIm1a9eybt06brrpJi655BJfXV6kxXG5G9l9pGn/otyiL75ltYiIiLRXY8eO5c477wTA4/FgsVjYtm0bF198MQAjRoxgzZo1lJSUUFVVxW233cbkyZP56KOPjIx9QQ3rHEdKZHCTuQCrmaj7lxN5/3IW/XeLQclERERajo4RXchMugSzyYrJZKZbh0F0is40OpaI73YoP/TQQ9jtdh577DE8Hg+vvfYajzzyiA7mkzbLZDJjMdtwu1zeOdvxu4giIiIiJwQHHyuc1tTUMGfOHObOncvjjz/u3YUcHBxMdXU1DQ0NTJ8+nWnTplFZWcnkyZPJysoiOjr6rD8jJyfngv4dLoQ/DE/ghe2llNY30i3Sn+c35nlfW/DuZiIc5QxK0IGbIgLZ2dlGRxAxTP/UK+mTPAo8HmxWf6PjiAA+LChv2rSJN954wzseOXIk48eP99XlRVocs8lM35TRfLn/TQBMmOl7vM+RiIiIyMmKioqYNWsWU6ZMYdy4cSxe/HWfPbvdTlhYGDExMdxwww1YrVaio6Pp0aMH+/fvP6eCcmZmJv7+retLZjZw7fEHGh9btRW2ljR5vdw/kuzsrOYPJiIi0sJo85q0ND4rKMfHx3Pw4EGSk5MBOHr0KLGxsb66vEiLUuuowuVpoFfiMBIi0imtLiA+vDNhgTFGRxMREZEWpqSkhOnTp7NgwQIGDx4MQM+ePVm7di0DBw5k9erVDBo0iDVr1vDiiy/y/PPPY7fb2b17N2lp7ePwyaGd406ZG3aaOREREREx3nkXlKdOnYrJZKK8vJxrr72WAQMGYLFY2LBhAxkZGb7IKNKifLH3NXYWrcWDh8TIrozsPlVN8UVERE7DVVuLJSjI6BiGe+aZZ6iqqmLJkiUsWbIEgPvvv5+FCxfyu9/9jrS0NMaMGYPFYuGzzz5j0qRJmM1m7r77bqKiogxO3zyGp8Xz5IT+/ObDbbg9cM/InlzapYPRsURERETkNEwej8dzPhdYt27dGV8/cdhIc3E4HOTk5LTKx/6k5TtcuY93tz7XZG5Q+ni6Jww2KJFIy6DPXhE5WW3OFvbdchN127YSdFF/0v+yjIAu2mhwIejzV0Sk+emzV0Tau/PeodzcBWMRI1XVlZ5mruQ0K0VERNqv/T+dTt22rQDUblxP3uzb6P7OKoNTiYiIiIiIL/ish7JIe5AY2RWL2YbL3eCds1kCWL//bTqEp5MU1c3AdCIibZPH46HB5cDPGmB0FDkHHpeL2i2bmszZv9pgUBoREWmvGhoauO+++ygsLMTpdDJz5ky6dOnCvffei8lkIiMjgwcffBCz2czMmTMpLy/HZrPh7+/P0qVLjY7frOobXNQ4GogJ0e9aLVV1fRkej4ewwLMf1CvSHFRQFvkOgv3DuaLXLWwt+IgGlxObxZ/NB4/tuMopXM2AzlfTK3G4wSlFRNqOkuqDrN71MlV1JUSHJHJJtymEBUZzoHQ7BeW5RATG0TVhIFazzeiocpzJYiFkyDBq1nzmnQsbcalxgaRVcTS6APC3WgxOIiKt3cqVK4mIiGDx4sVUVFQwYcIEunfvzty5cxk4cCALFixg1apVXH755eTn5/PWW29hMpmMjt3snlmzi3vf3Ei1o4Ex3TuyfOpwwgL8jI4lx3k8bj7dtYJ9xcdu1idH9eDS7j/GYlY5T4xlNjqASGsTH57K6F43MyZzBkWVe5q8tv3Q/wxKJSLSNn26a4W3tVBpTaH3YNQPd7zArsPrWLf/TVbn/tPglPJNaUv/TvgVY7FERRFxzXhS//SM0ZGkFbj/7a+Inv8yUfe/zL1vbjQ6joi0cmPHjuXOO+8Ejj3tZLFY2LZtm7dt54gRI1izZg0lJSVUVVVx2223MXnyZD766CMjYzerggo7c15dR7Xj2BO47+Ue4rcfbzc4lZysoCzXW0wGOFi2g/3Fmw1MJHKMbmmIfF8mMJssuGj0TukuoYiI7zS6nFTWFTeZK60ppL7B3mTuQNl26pzVBPqFNmc8OQP/lE50/c+bRseQVuS93EM8tirHO1780TaGp8Vxdc8kA1OJSGsWHBwMQE1NDXPmzGHu3Lk8/vjj3l3IwcHBVFdX09DQwPTp05k2bRqVlZVMnjyZrKwsoqPP3logJyfnrGtasi+KanC5PU3mPt2Rx4ZYl0GJ5JtKGnefMrdrfw6VBQaEkXYnOzv7W19T9UvkezKbLPROGsnG/HePz5jok3yZoZlERNoSq8WP2NAUiqsPeOcSIrpQ31DTZJ3ZZMWilhcirdpXhacefPxVYZkKyiJyXoqKipg1axZTpkxh3LhxLF682Pua3W4nLCyMmJgYbrjhBqxWK9HR0fTo0YP9+/efU0E5MzMTf3//C/lXuKC61jfwwOdFVNZ/fUbQpIE9yc7uamAqOVlVXSqvbdyK23OsyG/CzMDM0USHJBqcTNo7tbwQOQ9ZyZdyVdbtDEy7lvH97iQ97iKjI4mItCkjut1AUmQ3AmwhdI7tw6D08fRJHtXkiZDeSZfowD6RVm5klw6nzF12mjkRkXNVUlLC9OnTueeee5g4cSIAPXv2ZO3atQCsXr2a/v37s2bNGm9rDLvdzu7du0lLSzMsd3MKDbDx1q2juDQ9nm6xYTx8ZV/+b3CG0bHkJGGB0VyReQtJkd3pGNGVUT1vUjG5BTr63NNsG9Kf3CtHUfXpJ0bHaRYmj8fjOfuy1sPhcJCTk9Pq7xSe7HBVHTHB/lgtqv+LSMvUFj97pWWrdVSxr3gTcWGdiAvrZHQcEcO0pc/fv6zdw6OrtuL2eLh3VG9uHaSihoh8fwsXLuSdd95pUhy+//77WbhwIQ0NDaSlpbFw4UIsFguLFi1i8+bNmM1mZsyYwejRo8947bb02Ssi56d85WvsmTLROzYHBpK1bS+2uDgDU114annRgu0rreZHf/uETYfKSQgL5C83DOGKbh2NjiUiImKoqroSPtj+d6rqirFZAhia8QNSY7KMjiUi58HldvPfXYfYV3qspc1/dx7i5gHp2lAhIt/b/PnzmT9//inzL7744ilz999/f3NEEpE2qOK9t5uM3XV1VH3yEdE/ut6gRM1Dv6G1YD97fT2bDpUDUFRVxy3L19DochucSkRExFjr896h6vhhfQ2uetbseZVGd8NZ3iUiLdlrOQdZsSnfO35lywFe2XLgDO8QERERMV5g9x6nzvXoaUCS5qWCcguWc7iiyfhQVR2ltQ6D0oiIiLQMJ4rJJzgb63A02A1KIyK+sK+k5pS5vaXVBiQREREROXdxM24j4upxAJj8/Umc/yuCMnsbnOrCU0G5Bftme4u+HSOJDw00KI18m/qGGooq9uBsrDc6iohIu5Ac1fSOf1RwAsH+EQalERFfuKZXElazyTu2mk1c2yvJwEQiIiIiZ2cODCTj5Vfpu7eAfvuL6Hjvqa122iL1UG7BfnPNRZiA93YeIrNDBL8d39/oSPIN+4o389muFbg9LmwWfy7rMZWEiC5GxxIRadP6pVyOyWSmoGwHEUHxXNRprNGRROQ89YgP561bR/H7T7bj9sD/Z+/OA6os8/6Pv885rLILbgiouOKCiiiapWklZpqmZeqYNVYzOWXZ4mSuNZX9TMuZTMd5tKcam+rRbNGsbDJz300T3BUXEFFEVlnPuX9/MJ4RsTQT7gN8Xn95Xefm9oPWxfF7rut7j+sRRdsGQWbHEhEREbkm7vXqmx2hUqmg7MJ8PN15e0ic2THkZxiGg61Hl+Mw7AAU2wvZnvQ1AzqONTmZiEj1ZrXaiGnUh5hGfcyOIiI30O0tGtAhtLSIHOLrZXIaERERkWuXt/tH3AIC8WzcxOwolUIFZZHr5DAc5Xp25hVlmZRGRK7X+QuFvPrdHvakZtK3VShP3tIKm1UdoUREKpPDYfCnpVt4Z8thAB7sHMn/3NcN6yVtMERERERcTUlmJgcH9iVvx3YA6jz8Rxr/ba7JqSqe6QXl3bt3M2vWLBYtWsTTTz9Neno6ACkpKbRv357Zs2czZswYzp8/j7u7O56enixcuNDk1CJgs7rRKKQdx9J/cs41rdPBxEQiV1dcXMzEiRNJSUmhqKiIMWPG0KxZMyZMmIDFYqF58+ZMmzYNq9VaY9beoe+v5fvDpwH47mAqWfnFvNi3PQfOZJFwOpOekfW0U05EpIJ9uTeZBZsPOcfvbj1Cv6gwBkdHmJhKRETEfEXmqm/gAAAgAElEQVQlBSSd3Y3DcNCkTjRe7j5mR5JLnPmfec5iMsDZd/5ByAMP4hvbxcRUFc/UgvKCBQtYtmwZ3t6lD5qbPXs2AFlZWYwaNYoXXngBgOPHj7NixQosFu1QENdyc/N7CfCuw7ncFBoENiUq9CazI4n8omXLlhEYGMjMmTPJzMxk0KBBtGrVinHjxhEXF8fUqVNZtWoVd9xxR41Ye8/mFjiLyRf9365j+Hq68fyXOwGo5WHjy0duo2fTemZEFBGpEfallT/ltS8tE1BBWUREaq6ikgKW75pDTsE5APYkr2ZAhyfx9vA1OZlcVHTixJXnqnlB2dQzvREREcyZM6fc/Jw5cxg5ciR169YlPT2d7OxsHnvsMYYPH87q1atNSCpyZRaLFU/3Wni6eePh5o3F3P+lRK6qb9++PPXUUwAYhoHNZiMxMZEuXUp/2PXo0YONGzfWmLXX38udQG+PMnMNA7x5ceVu5/hCkZ0Xv9lV2dFERGqUO6MaYr3kA0yrxcKdUQ1NTCQiImK+4+l7nMVkgAtF2Rw5s9PERHK5oCH3lhnbgoLw7327SWkqj6k7lOPj40lOTi4zd+7cOTZt2uTcnVxcXMzo0aMZNWoUWVlZDB8+nOjoaIKDg82ILFLGpsOfcfjMDgCOnP2R3IIMOuohUeLCfHxKj0fl5uby5JNPMm7cOGbMmOHchezj40NOTs51r70JCQkV/j3caE+2D+G1rakUOwyCPG0MCfdk9WF7mWuSz2WxY8cOkxKKiCvp1KmT2RGqpejQIJY82IM3ftiLYcDTt0YRE6b3+yIiUrMZv2JWzBHQ63aafbSUs+8txBYYRIOnx+MWGGh2rApneg/ly33zzTf0798fm80GQEhICMOGDcPNzY3g4GCioqJISkqqlkUNqVochp3DBWU/GUw8uRFHuv7xI5XjeosaqampPP7444wYMYIBAwYwc+ZM52t5eXn4+/tf99rbtm1bPD09ryuXWTp1gvtuyWT0xxvZdvIccxIy6d6kDhuSzjqveeLWdnTqFGViShGR6i+7sJjM/CIMILug2Ow4IiIipmsc0o6fTn5PbuF5ALzcfYmsG2NyKrlc0ICB+HTugtW7Fm4BAWbHqRQuV1DetGkTY8aMcY43btzIBx98wIIFC8jLy+PQoUNERkZe9T5VsahxJZuPn+Xb/ado2yCIQW3D9aRrF+IwHBze8g2FJRecc761AugUo51L4rrS09MZPXo0U6dOpVu3bgC0bt2aLVu2EBcXx9q1a+natet1r71V1eurE9l2svQo2YGz2WQXejO9X0f2ncmib6tQhnVsYnJCEZHqbduJdH7/0Ubn+JH/20RUvQC6NqpjYioRERFzebh5MaDDWI6e3YXDsBNZp6P6J7sY+4ULHHlwOFlfr8Di6UmD5ybQ8IUpZseqcC5XUE5KSiI8PNw57tmzJ+vXr2fo0KFYrVaeeeYZateubWLCyvPBjqM8+OEG5/ixm1owd0iciYnkUlaLlU6N+7Lp8GcYGFgtNjo1ijc7lsgvmj9/PtnZ2cybN4958+YBMGnSJF555RXefPNNIiMjiY+Px2az1ai1d+vx9DLj1Ox8hsc0ISJIT1AWEakodoeDjcfOEuLjxapDqeVe/+5gqgrKIiJS43m61yIq9CazY8jPOPvOP8j6egUARmEhp159iaABA6nVNtrkZBXL9IJyWFgYixcvdo5XrFhR7ppJkyZVZiSXMfuHvWXGCzcf4rW7OuLv5fEzXyGVrUX9Ltis7qScP0BknQ6E1W5ldiSRXzR58mQmT55cbv6DDz4oN1eT1t5bmtblwNls5ziyti8nM/MotjtoGuJnYjIRkerpTE4+veZ9y/4zpWtvfMsG5a5pHxpU2bFEREREfpX8/fuuMLe/2heUrWYHkJ93eXsLi8WCBbW8cCW7TnzHuoP/x9Gzu/hu73scPL3N7Egich1e79+J+zs0xs/TnZiw2jgMgx5vr6TFa5/z9Of6/1pE5Eb727r9zmIywMoDqTzQKRJPNyueblae7hlF/9ZhJiYUERERubrA+H5lxlZvb/x73GpOmEqkgrILG9+rDZZL6sd/6t4CPy938wJJGQ7DTkLy2jJze5J/MCeMiPwmAd4efPjALWROH0avZvU5dj7P+dpb6/az93SmielERKqfU1kXys31bxPG34fEMXdIHC/Ft8di0UYKEZGKtu5oGrfM+YZmr37Gi9/sxuEwzI4kUqUE3T2IRn+dS632HfHr2YsWn63AvW5ds2NVONNbXsjPG9qhMS3q+PPvA6m0bRBI31ahZkeSSxlgUPaHrWE4TAojIjdKcmb5Ikdy1gVa1w80IY2ISPU0IqYJi3YcxfjPW6l6vl5M+fpHDp7NAeD17xPZ/NSdBHir1ZuISEXJyi/i7ndWk11QDMDL//6Jen5ejOne0uRkIlVL3Uf+SN1H/mh2jEqlHcourkPD2ozv3YY7oxpql4aLsVpt5Rrjt2nYw6Q0InKjDOvYuMy4YUAtekTWMyeMiEg1dUfLUJY93Jsh0RH8sVsLnrillbOYDHDwbDYf/phkYkK5koTkNXy24w2++unvpGYeMTuOiPxGW06kO4vJF3174JRJaUSkKtEOZZHfILbxndTza0R6bgr1AyJpENjU7Egi8hvd3TacJQ/25J/bj1DPz4s/92qLl7vN7FgiItVOv6iG9ItqCMCcdeUfaFNQbK/sSPILjpz5ke3Hvi4d5MOqve9xb+cJeLn7mBtMRK5bm/qBuFktlFzS5qJDw9omJhKRqkIFZZFfIfPCGfamrKfYXkiL+l1oENiU8ODWhAe3NjuaiNxAg6MjGBwdYXYMEakmiouLmThxIikpKRQVFTFmzBiaNWvGhAkTsFgsNG/enGnTpmG1Wnn77bf54YcfcHNzY+LEiURHV+8nhF80tENjpn+XwJncAgBCfDzLnRgRc6WcP1BmXOIoJi0riUYhbU1KJCK/VcOAWswdEsfzX+4kq6CI/q3DePZW/dtWRK5OBWWRa1RYcoGvf5pPYUlpf9Vj6Xvo1/4x6vip6CRSXb279TCf/nSCpiF+TOjdlvr+3mZHEpEqaNmyZQQGBjJz5kwyMzMZNGgQrVq1Yty4ccTFxTF16lRWrVpFaGgoW7duZcmSJaSmpjJ27FiWLl1qdvxKUc/Pm21P9+O9bUdwOAwe6tKMBv61zI4llwjyaQBnd10yYyHIp75peUTkxnika3NGxUaSX2xX33oRuWYqKItco+SMA85iMoCBg6NndlHHL4JiexHuNv3wFalO5m88yONLtzjHa4+ksfPZ/iYmEpGqqm/fvsTHxwNgGAY2m43ExES6dOkCQI8ePdiwYQNNmjTh5ptvxmKxEBoait1uJyMjg9q1a8bx47BAHybfUTN2ZFdFUQ1u4mzOCU6c24ubzZ2OEXfg7x1idiwRuQE83Gx4uKnFm4hcOxWURa5RLQ+/cnMGBp/teIOs/LOE+IbRs9Vw/LyCTUgnIterxO7g6/0pZOYXc3ebMOfOjI8vexjU7lPnSTydSZv6gWbEFJEqzMentMdsbm4uTz75JOPGjWPGjBnOBy77+PiQk5NDbm4ugYGBZb4uJyfnmgrKCQkJFRNe5BIBtCbKqxlWbBSctrHj9A6zI0kN0alTJ7MjiIjIJVRQFrlG9QOa0jikHcfS9wAQVKs+pzIPkZ2fDkB6bjKbDn9On7YPmxlTRH4Fh8Ogzz++Y82RNADq+3mz6ak7iQjyIfSyo9buNit1fb3MiCki1UBqaiqPP/44I0aMYMCAAcycOdP5Wl5eHv7+/vj6+pKXl1dm3s+v/AfaV9K2bVs8PT1veG4RERERkctZzQ4gUlVYLBZubfU7BnR4kjvb/ZF+0WOcxeSLzuWmmJRORK7HqkOpzmIywOmcfOZvPEBRiZ3bWzRwFpCtFgt/6dueOiooi8h1SE9PZ/To0YwfP557770XgNatW7NlS2lbnbVr1xIbG0tMTAzr16/H4XBw6tQpHA5HtW13kVtYzN83HuDVf//E4fRss+OIiIiIyK+gHcoiv1Kwb6jz13X8Ijibc8I5rh/Q1IxIInKdLhTby82l5RQQNeMLjmWU7hLsF9WQeUPiCA/yqex4IlJNzJ8/n+zsbObNm8e8efMAmDRpEq+88gpvvvkmkZGRxMfHY7PZiI2N5f7778fhcDB16lSTk1cMu8PBrXO/5ceUDAD+3/cJrB/bl/ah1bN4LiIiIlLdWAzDMMwOcSMVFhaSkJCgY39SKXIKMth85HPSc1JoEBhJ16aD8HJX0Ulqnqq69hYU22k/azmH03MA8HKzMTg6nA93Hitz3Y/P9ic6NMiEhCIiv6wqrr/fHUwl/h/flZn7Q7fmjIhpwl/X7sMw4KkeUfRsWs+khCIiv6wqrr0iIjeSdii7uFUHU1l54BRtGwTyu5gm2KzqUuJK/Lxqc0eb0WbHEJHr5OVuY8PYvryz5TCZ+UWMjI3kte/2lLsuLScfUEFZRORGcLNays3lFZbQZ/53FNkdAHy1L4Ufn+1PVL2Ayo4nIiIiIlehgrILW7j5EH9cstk5XnM4jXeG3WRiIhGR6ifE14vnb2vrHI+MjeTjXce4eH6ncW0f7ZITEbmBekTW4+YmdVmfdAaAAC936vt7O4vJAMV2B5/vOUFUvXZmxRQRERGRn6GCsgt7e/3+MuNFO47yxsBYAr09TEokIlL99W3VkC8f6c2i7Uep5+fFMz1b4+FmMzuWiEi1YbVa+Pax2/lszwnO5RUyODqCdUfPlLuuUW1fE9KJiNQ8+cUl5BWWEKIHUIvINVJB2YV5XVbAcLNarnhEUEREbqy+rRrSt1VDs2OIiFRbnm42hnVs4hzf0y6CAW3CWJ6YDJQ+EPW+9o3MiiciUmP8feMBXvjyR3IKi4lvFcrHD9yCv5c2sYnIL1NB2YW9cHs77nt/DXZH6bnrp3u2xtfT3eRUIiIi5su8cIZT5w8SWKseoUHNzY4jIr+Ru83K56N7sT8tC4dh0Lp+oNmRRESqveTMPJ76bJuz5rBy/yne+GEvL/XtYHIyEXF1Kii7sIFtw0n4892sOphK2waB3BKpHp4iIiInM/bx/d5FGJT2W41qcBNxTe82OZWI3Ait9BA+EZFKszcty1lMvmhPaqZJaUSkKlFB2cW1qONPizr+ZscQERFxGXtO/uAsJgPsP72ZDo1ux9OtlompRERERKqWbo3qEODlTlZBsXMuvlWoiYlEpKqwmh1ARETEldgdDsYv20G9qYuJnrmMr/almB1JLuMw7GUnDAPDMK58sYiIiIhckZ+XOysevY1OYbVpGFCLqX2i+UNXtRJzRYbe74qLUUFZRETkEn/fcJA31+wlPa+QxNNZ3PfeGtJzC8yOJZdoHXpzmXFk3Y54ufuYlEZERESk6lqw+RA7kjNIybrAgs2HOHou1+xIcpmE5DV8tPkl/rV5GjuPf2t2HBFALS9ERETKWHs0rcy4oMTOlhPp3NU6zKREcrnIuh3w9QoiOWM/gbXq0bhOO7MjiYiIiFQ5CanneX/bEec4NTufN9fsZe6QOBNTyaXSso+x/djXzvFPJ7+njm8Y4cGtTUwloh3KIiIiZXQODykzdrNa6Niwtklp5OfU9W9ETON4Iut2wGqxmR1HREREpMo5d6Go/FxeoQlJ5Oek55wsN3c2t/ycSGVTQVlEROQST/ZoxajYSNysFur7efO/w24iNEAPexMRERGR6qV74zq0rOPvHFss8PsuzUxMJJer59/4CnNNKj+IyGXU8sLF7Dh5jmKHg7iIECwWi9lxRERqHE83G+8O786Cod2wWS1ai0VERESkWnKzWVn9eB/eXr+f1Ox8RsQ0oXfzBmbHkkuE+IXTrek9/JT8PQ7DQZvQW2gY1MLsWCIqKLuKEruDu/93NSv3nwKgW6M6rPzjbfh4upucTESkZnKz6RCPiIiIiFRv9fy8efnOjmbHkF/QskEcLRuor7W4Fv1r2UUsS0x2FpMBNh0/ywc7k0xMJCJSc6VkXWDu+v0s3nWMYrvD7DgiIiIiIiIiLkM7lF3E6ez8cnNH0nMY+M5qVh44RbsGgfzjvq7EhAWbkE5EpOZISD3PzXNWklNYDEDvZvX595g7TE4lIiIiIiIi4hq0Q9lFDGwXjq/nf+v7HjYr+9Oy+HJvMsV2BzuTMxj2z3UYhmFiSrlcXmEWq/f9i0+2zWD9wSUUlpT/YEBEqpY56/c7i8kA3x8+zaZjZ01MJCIiIiIiIuI6tEPZRTQMqMXaJ+J5a+1+ih0O/tS9JSM/WF/mmiPnckjLKaC+v7dJKeVyaw98TFp2aWuSw2d24DDs9Gg5zORUIj+vuLiYiRMnkpKSQlFREWPGjKFZs2ZMmDABi8VC8+bNmTZtGlarlbfffpsffvgBNzc3Jk6cSHR0tNnxK0WJvfwHdyUOtb0QERERERERARWUXUr70Nq8M+wm57hb4zokZeQ6x02D/ajn52VGNLmCEnuxs5h8Ucr5gyalEbk2y5YtIzAwkJkzZ5KZmcmgQYNo1aoV48aNIy4ujqlTp7Jq1SpCQ0PZunUrS5YsITU1lbFjx7J06VKz41eKMd1b8vGPxygosQPQJSKY7o3rmpxKRERERERExDWooOzC3hwYS1ZBESv3n6JdgyD+cV9XLBaL2bHkP9xs7vh7hZBdkO6cC/Kpb2Iikavr27cv8fHxABiGgc1mIzExkS5dugDQo0cPNmzYQJMmTbj55puxWCyEhoZit9vJyMigdu3aZsavFLHhwex89i4W7zpOXT8vRsY0wWrV2isiUtH2p2Uxf9NBDMPgsZtaElUvwOxIIiIiInIFKii7sDq+Xix7uLfZMeQXdG9xL2sPfExeYSaBterStekgsyOJ/CIfHx8AcnNzefLJJxk3bhwzZsxwfljl4+NDTk4Oubm5BAYGlvm6nJycqxaUExISKi58BTAMg62n8zh9oZjuoX6EeP/3x2K/YMgpKuDdbzcSGehJvVruJiYVEVfRqVMnsyNUS8mZeXR762uyC0p72L+/7Si7n+tPo9q+JicTERERkcuZXlDevXs3s2bNYtGiRTz99NOkp5fu9kxJSaF9+/bMnj27xvbxvFaH07N5b+sRPGxWHunanNCAWmZHqjHq+Tfm3tg/U1Cch7eHn9lxRK5Jamoqjz/+OCNGjGDAgAHMnDnT+VpeXh7+/v74+vqSl5dXZt7P7+r/jbdt2xZPT88KyV0RHvjXej7ceQIAP890Vv+pDx3DSovma46kMfCd78ktLMFmtTB3SByPdm1uZlwRkWrrk93HncVkgJzCYpbsPs5zvdqYmEpERETk6s4t/piz7y3EFhBI6J9fwKdj9d+AYGpBecGCBSxbtgxv79KHzM2ePRuArKwsRo0axQsvvEBiYmKN7eN5Jf+z6SD/2pFEfX9vpvaJxtvdRufZXznfgP/P5kPsGT+AoFpVp6BT1VksVhWTpcpIT09n9OjRTJ06lW7dugHQunVrtmzZQlxcHGvXrqVr165EREQwc+ZMHn74YU6fPo3D4ah27S4Ons3mw53/7YOeU1jMrB8S+dfIWwCYtOJHcgtLALA7DCZ8uZMHYyPxcLOZkldEpDoL9C7/3jXQ28OEJCIiIiLXLvPbrzk6eqRznLPme6ITDuNWzf79fDlTC8oRERHMmTOHP//5z2Xm58yZw8iRI6lbty7ffPNNjenjWVhiZ09qJi3q+OHvVf4N9KLtRxnzyRbneN3RNB6Oa1ZmN0dqdj6f7TnJ6LhmlZJZRKqW+fPnk52dzbx585g3bx4AkyZN4pVXXuHNN98kMjKS+Ph4bDYbsbGx3H///TgcDqZOnWpy8hvvQlHJL86dzskv81pWQREFJXYVlEVEKsD9HRsxf+MBtp08B0BMWG2Gd2xsbigRqdKKi4uZOHEiKSkpFBUVMWbMGJo1a8aECROwWCw0b96cadOmYbVadSpaRK7b+WWflxnbs7PJXr2K2kPuMylR5TC1oBwfH09ycnKZuXPnzrFp0yZeeOEFgBrTx3PvuXyeWXOCjAI73m4WpnVtSO8I/zLXvLfuZJlxWk4Be4+V/fMDOJNygh07sio0r5RyGHbSSw6S78jAx1aXYFszPThRKs319PGcPHkykydPLjf/wQcflJsbO3YsY8eOva5sVUGHhrXp3rgOG46dBcBqseBmtVJ70scE1fIgpmFtkjJyndff3Sb8ih/2iYjI9TMMA4vFgre7Gxue7Mv3h07jMOC25vVxs1nNjiciVdiyZcsIDAxk5syZZGZmMmjQIFq1asW4ceOIi4tj6tSprFq1itDQUJ2KFpHr5tUkstycZ2T5uerG9B7Kl/vmm2/o378/NlvpDrCa0sfzmbdXklFgByC/xOCvu88xuk83xn66jZUHTtGuQSBNG9SF5Bzn11gsMLF/N3b/c52z6BETVptxA3ri5a4ddJVhzYGPSDtb+uFFtuMUwXX96dSkn8mpRORaffWH23h362FOnL+Ah83C//s+EYCsgmJOnM/j1Ts7sD05gw4Ng3i6R5TJaUVEqo8vEk7y9OfbOJWdz7COjZl/b1e83G3c0TLU7GgiUk307duX+Ph4oPTDK5vNRmJiIl26dAGgR48ebNiwgSZNmtSYU9EicuPV/cOfyFz5Nbkb14PVSr0/jVUPZTNs2rSJMWPGOMcxMTHVvo8nUGYXHJQetX768+38365jAKw7eobU7AvEhtVme3IG7jYrU/tE0yk8hN3P9Wf53mQ83WzcFdVQx7Erid1RwrGze8rMHTnzI7EqKItUGb6e7oy9pbRQ/PuPNpR5zWFAZIgfE25vZ0Y0EZFqK+NCIb/7YB35xaWbKRZtP0rTYD+m9Ikmt7C0lZuvp7uZEUWkGvDx8QFKTz0/+eSTjBs3jhkzZjhPlF48/Xy9p6Kh6p2MFpEK8tobWE4ch1q1OBtSh7M7dpid6Ib4pVPRLldQTkpKIjw83Dlu27Ztte/jCTAkOoK31u13juNbhbLxP8ewLzqcnkvKtHvJzC8i2MeTOr5eAPh4ujOsY5NKzStgtVjxdK9FQfF/Pwzw9vA1MZGI/BZdG9fhn9uPOsdWi4UuESEmJhIRqZ52nzrvLCZftPn4WZ79YjvzNhzAAP7YrTl/HdRZrcRE5DdJTU3l8ccfZ8SIEQwYMICZM2c6X8vLy8Pf3/+6T0VD1TsZLSI3nuFwkPziJM6+uxC3wCAaTnuF4HuHmh2rwpnemCwsLIzFixc7xytWrMDfv2zv4LFjx7JkyRKWLl1KbGxsZUesFDP6x/BifHtuiazL2Fta8a/f3UxseHCZaxoF+VDX14tW9QKcxWQxj8VipXOTu7BaSneEu1k9iG2s3ckiVdUjcc144uaWeLvbqOPjSZ+WDfhk93Ey84vMjiYiUq10bFgbH4+y+1rq+nrx17X7KLI7KLY7eHv9AZYnln9WiIjItUpPT2f06NGMHz+ee++9F4DWrVuzZUvpg+7Xrl1LbGwsMTExrF+/HofDwalTp6rtqWgRqRjp//onp9+cif38eQqTjnL04QcoPH7M7FgVzuV2KNdUHm42pvSJZkqf/z5NdvagWNLzClh9OI2Wdfx5Z9hNWK3apeFKmtbtSIPAppzPO02IXxiebrXMjiQi18lmtfK3e7owtENjes/7lm/2n+Kb/af4YMdRdjxzFzar6Z/BikgVt3v3bmbNmsWiRYtITExk2rRpeHh4EBUVxaRJk7BarYwZM4bz58/j7u6Op6cnCxcuNDv2DRfo7cHiB3vw3LIdJGdeYERMExoGeJe77qfU89zdNvwKdxARubr58+eTnZ3NvHnzmDdvHgCTJk3ilVde4c033yQyMpL4+HhsNluNOBUtIhUjd+P6shN2O7lbNuPZqLEpeSqLxTAMw+wQN1JhYSEJCQnV6uhJUYldfZFFxKVVp7X3oY82sOiS1hcAq8bcwa3N6puUSESqgwULFrBs2TK8vb1ZvHgxgwcPZvLkycTExDB79mwiIyMZOHAg/fr1Y8WKFdfc6qG6rL87Tp4j7m9fcem/TDY+2Ze4RnXMCyUi8jOqy9orIr/d2XcXcmzsY/+dsFppt2sfXpFNzQtVCbTdqgpQMVlEpPJcfgz75+ZERH6NiIgI5syZ4xynpaURExMDlD6EeseOHaSnp5Odnc1jjz3G8OHDWb16tVlxK12n8GD+OeJm2ocGEd0giPeGd1cxWURERFxeyKjfU/exJ7B4eeFerz5N5i2o9sVkUMsLl+dwGBw5l0NYYC283fXXJSJS0Z7qEcXiXcfIuFDaO7l/6zA66+F8IvIbxcfHk5z8357A4eHhbN26lS5durB69Wry8/MpLi5m9OjRjBo1iqysLIYPH050dDTBwcG/cOdSCQkJFRm/UrQEFtza4D+j8+yoJk9IF5HfrlOnTmZHEBG5IovNRqNZfyVi5uwa9TBhVShd2P60LAb+72oOp+cQ5O3BO8NuYqD6yImIVKgWdfw58MIgvtybTD1fb+5o0eDqXyQi8itNnz6dV199lblz5xIbG4uHhwchISEMGzYMNzc3goODiYqKIikp6ZoKyjp2LSIiImKemlRMBrW8cGnPLd/B4fQcAM7nF/HYks0U2x0mpxIRqV5Ons9jeeJJzuYWOOdq1/JkVGxT4luFcia3gNzCYhMTikh1tGbNGmbNmsX7779PZmYm3bt3Z+PGjTz11FMA5OXlcejQISIjI01OKiIiIiJSlnYou7CDZ7LLjM/kFpBxoZB6fuWfgi0iIr/ee1uP8Iclm7A7DLzcbHzyUE/ujGoIQG5hMUP/uZaV+0/h7W7jpfj2PNurjcmJRaS6aNSoEQ899BDe3t7ExcXRs2dPANavX8/QoUOxWq0888wz1K5d2+SkIiIiIiJlqaDswga0CeOva/c5x3ERISomi4jcIHaHg+e/3IHdYQBQUGJn4oofnQXlv63dx8r9pwDIL7bz/IqdDGwXTrMQf9Myi0jVFtHEs0kAACAASURBVBYWxuLFiwHo3bs3vXv3LnfNpEmTKjuWy/h8zwne+GEvhgFP3xrFkOhGZkcSERERkStQQdmFTb+rIx42KysPnKJtg0BeuyvG7EgiItVGicPgfH5Rmbmzef9te5F4OqvMa4YB+9KyVFAWEakAu09lcN/7a3EYpR/ybflnOlvG+RITdvX+0SIiIiJSuVRQdmGebjZe6x/Da/1VSBYRudE83WwM69iYf+1Ics51bRRCt799RYnDIDa8bBHDz9OdWyLrVXZMEZEa4Zt9p5zFZACHYfD1vhQVlEVERERckArKIiJSYy0Y2o3oBkFsP3mOlnX9efXfe7hYztiZnMETN7dkzZE06vp68WJ8ewK9PUzNKyJSXUXVC7jCXKAJSURERETkalRQFhGRGsvTzcZz/3nQ3uw1ezEuez3Q24Ndzw2o/GAiIjVM/9ZhPNq1Oe9sOQzAg50jGdQ23ORUIiIiInIlKii7gIJiO6+t2sO6o2eIiwhh0h3t8PV0NzuWiEiN0qZ++Z1wV5oTEZEbz2q1MP++rrxyZwcMoI6vl9mRRERERORnqKDsAsZ+upX/3Vq6G2PNkTSOnc/lowd6cCYnn50pGXQKC3a+qf7n9iN8vuckzUL8GN+rjd5si4jcIH1ahvJUj1bM23AQh2FwU+M6+Hi44XAYWK0Ws+OJiNQIIXpvKyIiIuLyVFB2AUt2Hy8zXvrTCT7ZfZxRH66nsMSBp5uVjx7owemcfP70yRbndT8cPs3Wp++q7LgiItXWmwM7MyKmCfH/+I51R8+w7ugZ7mrdkGUP9zY7moiIiIjIDZd0LocZ3yeSmp3PyNhI7mvfyOxIIlIFqKDsAhrX9mFPaqZzHBHow/Nf7qCwxAFAYYmDPy/fQX0/7zJftyM5g/1pWbS6wkNMRETk+vzvliNk5hc7xyv2prDtRDqdI0JMTCUiIiIicmMVldjpNe9bTmZeAODLvcnYHuzJ4OgIk5OJiKuzmh1A4K+DOhPk7QGAn6c7cwZ34XR2QZlrUrPzqe9ftqDsbrMS4uNZaTlFRGqCC8Ul5ebyisrPiYiIiIhUZeuTzjiLyRd99GOSSWlEpCpRQdkF3NqsPiemDmHjk305OXUId0Y15IHYyDLXPBAbydQ+0dTzK+0rZ7VYmNYnWn3mRERusD90bY677b8/HqMbBHFLZF0TE4mIiIiI3HgNA2qVmwu7wpyIyOXU8sJF1PJwI65RHef4rXs60zzEj493HcNhGIT6e9Okti9HJt3DxqSzRAb70iTYz8TEIiLV001N6rL5qTv5aGcS9fy8GR3XDJtVn7+KiIiISPXSsm4Az/Rszey1ezEMaFHHn+d6tTE7lohUASoouygPNxsOA3YmZwCwK+U820+e47PRvbitRQOT04mIVG8dGtamQ8PaZscQEalRvtybzBurEzGAp3u2ZmDbcLMjiYhUezPv7sSY7i04nZ1PXKMQbaQQkWuigrILe2/b4TLj5XuTOZdXSLD6JouIiIhINbIn9TyD3/0Bu8MAYEPSWbY93U8f7omIVILIYD8idQJaRH4FffTkwupc1h/Zx8ONWh42k9KIiNQcc9bto/PsFfRbsIptJ9LNjiMiUu19vS/FWUwGcBgGK/Ymm5hIRERERH6OCsou7KW+HfDxKN1EbrHAy3074O2uTeUiIhVp0fajjPt8OzuTM1i5/xR9/2cVOQXFZscSEanWWtTxLzfXsm6ACUlERERE5GpUnXRhPZvW49iUwaw/eoY29QNpGqIjKCIiFe3Ly3bEZeYXsT7pDHdGNTQpkYhI9Xd3m3Ae6tyUf24/ioHByE6R3NNOPZRFREREXJEKyi6udi1P7tYDSUREKk3UZTviLBZoWbf8zjkREblxrFYL7wy7iel3dcQwoL6/t9mRRERERORnqOWFiIjIJZ7uGUWvZvUA8HKz8f/uitFDSkREKkk9P28Vk0VERERcnHYoi4iIXCLA24PvxvTh5Pk8Arzd8ffyMDuSiIiIiIiIiMtQQdmF5BUW89a6/ew+dZ4+LUP5fZemWCwWs2OJSDW0e/duZs2axaJFi0hMTGTatGl4eHgQFRXFpEmTsFqtjBkzhvPnz+Pu7o6npycLFy40O3alCg/yMTuCiIiIiIiIiMtRQdmFPPDhBr5IOAnAkt3HScvJ54Xb25mcSkSqmwULFrBs2TK8vUuPFE+ZMoXJkycTExPD7NmzWb58OQMHDuT48eOsWLFCH2yJiIiIiIiIiJN6KLuIzPwiliWeLDP3/rYjJqURkeosIiKCOXPmOMdpaWnExMQAEBMTw44dO0hPTyc7O5vHHnuM4cOHs3r1arPiioiIiIiIiIgL0Q5lF+HlZsPP053sgmLnXLCPJ2M/3crK/ado2yCQN+7uRBM9GEpEfqP4+HiSk5Od4/DwcLZu3UqXLl1YvXo1+fn5FBcXM3r0aEaNGkVWVhbDhw8nOjqa4ODgX7x3QkJCRccXETFVp06dzI4gIiIiImIqFZRdhJe7jVfv7MhTn2/DYRj4eLhRz9eLeRsOAHDkXA7HM3LZ8Wx/k5OKSHUzffp0Xn31VebOnUtsbCweHh6EhIQwbNgw3NzcCA4OJioqiqSkpKsWlNu2bYunp2clJRcRERERERGRyqaWFy7kTze35OALA/l89K0cmzKYPaczy7y+69R50nLyzQknItXWmjVrmDVrFu+//z6ZmZl0796djRs38tRTTwGQl5fHoUOHiIyMNDmpiIiIiIiIiGspOHqEUzNeJW3+XOzZ2WbHqRTaoeximgT7OdtatK0fyNFzuc7XGvh7E1xLO/9E5MZq1KgRDz30EN7e3sTFxdGzZ08A1q9fz9ChQ7FarTzzzDPUrl3b5KQiIiIiIiIiriN/31729roJR25p/e7s/y6g9YZtWN3dTU5WsUwvKO/evZtZs2axaNEizp07x+TJk8nOzsZut/P6668TERHBK6+8ws6dO/Hx8QFg3rx5+PlV/17CbwyM5VhGHj+lnqe+nzfv3H8TbjZtKheR3y4sLIzFixcD0Lt3b3r37l3umkmTJlV2LBEREREREZEq4+y7C53FZID8vQlkr/qWwL53mZiq4plaUF6wYAHLli3D29sbgJkzZzJgwAD69evH5s2bOXr0KBERESQmJrJw4cIatzsuMtiPH5/rT2r2Ber4eKmYLCIiIiIiIiIi4ircbOWmLG6m79+tcKZWKCMiIpgzZ45zvHPnTtLS0njooYdYvnw5Xbp0weFwcPz4caZOncqwYcP45JNPTExc8faezuRva/ex6mCqc66Bfy0Vk0VERESquN27d/PAAw8AkJiYyL333suIESN4+eWXcTgcALz99tvce++9DBs2jJ9++snMuCIiIiJyFXUfeQzbJRtgfTp3wb/X7SYmqhymlszj4+NJTk52jlNSUvD39+e9997j7bffZsGCBTz88MOMHDmS3//+99jtdkaNGkXbtm1p1arVL947ISGhouPfcKtPZvPC+mQcRul4ZFQwT3asZ24oEXFZnTp1MjuCiIhco8tP5k2ZMoXJkycTExPD7NmzWb58Oc2aNWPr1q0sWbKE1NRUxo4dy9KlS01OLiIiIiI/xyuyKS2Xr+TUjOm4BQcT9pfXsNjK71qublxqD3ZgYKCzj2fv3r2ZPXs23t7ejBo1yvnmu2vXruzfv/+qBeW2bdvi6Vm1HmD3p3VfOYvJAIsPnuftkXfg51W9G3mLiIiIVHcXT+b9+c9/BiAtLY2YmBgAYmJiWLVqFVlZWdx8881YLBZCQ0Ox2+1kZGTUuLZvIiIiIlVFwaGDHOh3O/asLAAu/LiT1j9srPZtL1zqu+vUqRNr1qxh0KBBbNu2jWbNmnHs2DHGjRvH559/jsPhYOfOndxzzz1mR60QxXZHmbHdMEjKyGH7yQyiQ4OIDQ82KZmISM2SmV/Eir3J1PPz5rbm9bFYLGZHEpEq7vKTeeHh4WzdupUuXbqwevVq8vPzyc3NJTAw0HmNj48POTk511RQroqn8y5XZHew4VTpQ226h/rioZZvIvIfOpknIq7qzDv/cBaTAS7s2knW9/8msM+dJqaqeC5VUH7++eeZPHkyH3/8Mb6+vrzxxhsEBAQwcOBAhg4diru7OwMHDqR58+ZmR60QT/WIYvTHG53j25rXp8tfv3YWmqf1iWZqfHuz4omI1AiHzmZz85xvSM8rBODuNmF8NrqXyalEpLqZPn06r776KnPnziU2NhYPDw98fX3Jy8tzXpOXl4efn9813a8qns67VF5hMd3nfMOe1EwAWtcLYOOTd+qknoiIiIgLMr2gHBYWxuLFiwFo2LAh7777brlrHnnkER555JHKjlbpHuzclMhgX1buP0XbBoH8bc2+MruWZ3yfyLO3tsbHU2+sRUQqyt/W7nMWkwGWJSaz/eQ5nRIRkRtqzZo1zJo1i6CgIF5++WV69OhBcHAwM2fO5OGHH+b06dM4HI4a0+7i413HnMVkgL1pWXz4YxJ/7NbCxFQiIiIiv6zO6D+Q/s93sWdnA1CrfUcCet9hcqqKZ3pBWcq6JbIet0SWPohv+nd7yrxWZHdQZHfgY0YwEZEaIqew5ApzxSYkEZHqrFGjRjz00EN4e3sTFxdHz549AYiNjeX+++/H4XAwdepUk1NWnrwrrL25BVp7RURExLV5t2hJm627Of/pEmwBgdS+9/5q3z8ZwGIYhnH1y6qOwsJCEhISqvyxP4C/bzjAE59udY5HxDRh0e9uNjGRiMiVVae1d/3RM9z2928p+c9TUtvUD+DHZ/tjs6qXp4i4nuqy/qZmXyB65nIyLhQBEOTtwe7xA2gYUMvkZCIi5VWXtVdE5HpV/5J5FTame0signycLTB+36WZ2ZFERKq9myPrsuHJO/lw51Hq+XrzaLfmKiaLiFSwBv612DquH+9sOYzDMHika3MVk0VERERclArKLu6u1mHc1TrM7BgiIjVKbHiweiaLiFSyJsF+vNKvo9kxREREROQqtOVKRERERERERERERK6JCsoiIiIiIiIiIiIick1UUBYRERERERERERGRa6KCsoiIiIiIiIiIiIhcExWURUREREREREREROSaqKAsIiIiIiIiIiIiItfEzewAIiIiIiIiIiIVYffu3cyaNYtFixaRmJjItGnT8PDwICoqikmTJmG1WhkzZgznz5/H3d0dT09PFi5caHZsERGXpoKyiIiIiIiIiFQ7CxYsYNmyZXh7ewMwZcoUJk+eTExMDLNnz2b58uUMHDiQ48ePs2LFCiwWi8mJRUSqBrW8EBEREREREZFqJyIigjlz5jjHaWlpxMTEABATE8OOHTtIT08nOzubxx57jOHDh7N69Wqz4oqIVBnVboeyYRgAFBUVmZxERKTieXh4uMROCq29IlKTuMraC1p/RaTmuJ61Nz4+nuTkZOc4PDycrVu30qVLF1avXk1+fj7FxcWMHj2aUaNGkZWVxfDhw4mOjiY4OPhn73tx7U1ISLi+b0ZEpApo27btz6691a6gXFxcDMDBgwdNTiIiUvHatm2Lp6en2TG09opIjeIqay9o/RWRmuNGrL3Tp0/n1VdfZe7cucTGxuLh4UFISAjDhg3Dzc2N4OBgoqKiSEpK+sWC8sW1V0SkOktISPjZtbfaFZR9fHxo0aIF7u7uLrNzRESkonh4eJgdAdDaKyI1i6usvaD1V0Rqjhux9q5Zs4ZZs2YRFBTEyy+/TI8ePdi4cSMffPABCxYsIC8vj0OHDhEZGfmL99HaKyI1xc+tvdWuoGy1WvHz8zM7hohIjaK1V0TEHFp/RUSuXaNGjXjooYfw9vYmLi6Onj17ArB+/XqGDh2K1WrlmWeeoXbt2r94H629IlLTWYyLzX9ERERERERERERERH6B1ewAIiIiIiIiIiIiIlI1qKAsIiIiIiIiIiIiItdEBWURERERERERERERuSYqKIuIiIiIiIiIiIjINVFBWURERERERERERESuiQrKIiIiIiIiIiIiInJNVFAWERERERERERERkWuigrKIiIiIiIiIiIiIXBMVlEVERERERERERETkmqigLCIiIiIiIiIiIiLXRAVlEREREREREREREbkmKiiLiIiIiIiIiIiIyDVRQVlERERERERERERErokKyiIiIiIiIiIiIiJyTVRQFrnMyZMnmThxYoX+Hg888ABbtmypsPu/9dZbbN++vcLuLyJyI1XEuvvpp58yYcKEG3Kvli1b3pD7iIiYqTLe417Uu3dvkpOTf9M9tmzZwgMPPFBuPi0tjUcfffQ33VtExGyVuSaLVAQVlEUuc+rUKU6ePGl2jN9k27Zt2O12s2OIiFyT6rDuioi4uuqy1tarV48FCxaYHUNE5DepLmuy1FxuZgcQ+bUMw2DWrFl899132Gw27r//fh588EGSkpKYOnUqmZmZ1KpVi0mTJhEdHc2ECRPo0qULgwcPBkp3mh04cIA5c+aQlpbG8ePHSUlJ4b777mPMmDG88sorJCcn89JLL5Gbm0tsbCz3338/ULqz+LnnnqN9+/bOPA8//DDp6ellMr7wwgt07drVOS4qKmLSpEkkJCTQsGFDzp8/73xt/vz5LFu2DJvNRvfu3Rk/fjypqak88sgjBAUF4enpyYQJE5g6dSolJSV4enry2muv0bhxY9auXctbb71FSUkJYWFhvPzyy6xZs4aEhAQmT57M22+/rZ11IvKbVcV191K7du3i1VdfpbCwkKCgIP7yl7/QqFEjHnjgAdq1a8eOHTvIyMhg8uTJ9OzZk+TkZMaPH8+FCxfK/L75+flMnjyZAwcOYLFYePjhhxk0aBCffvop69atIysri5MnT9K9e3defPHFG/y3ICLVXVVcawsLC3nppZfYsWMH7u7u/OlPf6Jfv34AzJ07l3379pGfn8/rr79O+/btOX78OC+++CKZmZl4eXkxZcoUWrduzfLly1m4cCE2m42wsDBmzpwJQEZGBo8++ignTpygSZMmvPXWW5w5c4ZRo0bx/fffM2HCBDIzMzl+/Djjx48nJCSE1157jYKCAoKCgnjppZcIDw+v0L83EamequKabLfbef3119m6dSt2u53Bgwfz0EMPcfr0aZ577jkuXLiA1Wpl8uTJdOjQgRkzZrBhwwZsNhu33XYbTzzxBHl5efzlL3/h0KFD2O12Hn30Ufr3789rr71GRkYGM2fOZPny5XzwwQd8+OGH2Gy2SvjbEJdkiFQxX331lTFs2DCjsLDQyM3NNe6++27jzJkzxpAhQ4yVK1cahmEYP/74o3HrrbcahYWFxvPPP28sXbrU+fUtWrQwDMMw3nrrLePee+81CgsLjfT0dKNDhw5GVlaWsXnzZmPkyJGGYRjGpk2bjBEjRhiGYRjJyclGv379rivzwoULjeeee84wDMNISkoy2rVrZ2zevNn44YcfjPvuu8/Iz883iouLjccee8z44IMPjJMnTxotWrQwTp48aRiGYUyYMMH46quvDMMwjBUrVhifffaZce7cOePuu+82MjMzDcMwjI8++siYOHGiYRiGMXLkSGPz5s3XlVVE5HJVcd1dunSp8fzzzxuFhYVGr169jN27dzu/l8GDBxuGUbpWvvLKK4ZhGMaqVauMe+65xzAMw/jDH/5gLF682DAMw/jss8+c+WfMmGG8/PLLhmEYxrlz54zevXsb+/btM5YuXWr07NnTyMnJMS5cuGD06NHD2L9//3XlFpGaqyqutQsWLDCeeuopw263G2fOnDH69evnXHcXLlxoGIZhLFq0yBg7dqxhGIZx//33G4mJiYZhGMahQ4eMPn36GIZhGL179zbS09MNwzCMN99809i7d6+xefNmo0OHDsaJEycMu91uDBkyxFi9erVx8uRJo1evXoZhGMbzzz9vPP/884ZhGEZhYaExYMAAIyUlxTAMw1i7dq3x4IMPXtf3JSJSFdfkDz/80Jg+fbphGKVr4siRI41t27YZc+bMMRYsWGAYhmFs3rzZWLhwYZnfp6CgwHj22WeNgoICY+bMmcb7779vGIZh5OTkGHfddZdx4sQJIz8/3+jbt6+xfPly49ZbbzWOHz9+XRml+tAOZalytm3bxp133omHhwceHh588cUX5OXlceLECfr06QNAhw4dCAgI4OjRo794r7i4ODw8PAgODiYwMJCcnJxyr0+ZMoXk5GS++OILBg4cWO4e1/JJ4datW52fNjZu3JiOHTsCsHnzZu666y68vLwAGDJkCJ9//jk9e/YkODiYsLAwAHr27Mlf/vIX1q1bR69evYiPj2ft2rWkpqYyatQoABwOBwEBAdf85ygicq2q4rp70bFjx/D39yc6OhqAO++8k6lTpzp/31tuuQWA5s2bk5mZCZSu2W+88QYAd999N5MnTwZK1+zp06cDULt2bW677Ta2bt2Kr68vHTt2xNfXF4Dw8HCysrJ+8c9BRORyVXGt3bZtG0OHDsVqtVKnTh1WrFjhfO32228HoFmzZqxcuZK8vDwSEhJ44YUXnNdcuHCB8+fP06tXL4YPH85tt91GfHw8UVFRbNmyhVatWjl3GDdt2rTMKb+LLq7vx44d4+TJk4wZM8b5Wm5u7i/+OYmI/JyquCZv2rSJffv2sXnzZqB0jT1w4ADdunVj7Nix7Nu3j549ezJy5EhsNhuenp4MGzaMXr16MW7cODw9Pdm4cSMFBQUsXbrUeY9Dhw4RHh7Oa6+9xrBhw5gyZQoRERG//g9VqhUVlKXKcXMr+59tcnIyAQEBGIZRZt4wDOx2OxaLxflacXFxmWs8PT2dv770ukvnBg0axIoVK/jmm29YuHBhuTzvvPPOVTNbLBYcDke57+HSuYtKSkoAnEVmgL59+9KxY0dWr17N+++/z5o1a7j11luJiYlh/vz5QOmRw7y8vKtmERH5tariunvRldbZizkvzWOxWMpdc3H+4ms/9/1ey/clInI1VXGtvTzz8ePHadCgAYDzGPTFNdThcDiLMhedPn2awMBAJk+ezP79+1mzZg3jx4/niSeeoH79+mXu/3Nr68X3zA6Hg7CwMOf97XZ7ueKLiMi1qoprst1uZ/z48c6Cd0ZGBrVq1cLLy4sVK1bwww8/8NVXX/HZZ5/x7rvvsmTJErZu3cratWsZNmwYixYtwuFwMHPmTNq0aQNAenq6c+NaUlIStWvXJiEh4apZpPrTQ/mkyuncuTP//ve/KS4uJj8/n0ceeYT09HTCw8P59ttvgdJ+menp6TRv3pzAwEAOHz4MwHfffXfV+9tsNmdRF2Dw4MF8/PHH1K9fn3r16l1X5m7duvHll1/icDhISUlh586dAHTt2pUVK1ZQUFBASUkJS5cuveIOu3HjxvHTTz8xbNgwnnrqKfbu3Uv79u3ZtWsXSUlJAMybN4/XX3/d+T3ooXwicqNUxXX3osjISDIzM/npp58A+OqrrwgNDSUwMPBnv+amm25i2bJlAHz77bcUFRUBpWv2J598ApS+QV+1ahVdunT5TflERC6qimtt586d+frrrzEMg3PnzjFy5Ejnmnk5Pz8/Gjdu7Cz4btiwgd/97neUlJTQp08fgoKC+OMf/8jAgQPZt2/fr84SGRlJVlYW27dvB2Dp0qU899xz1/V9iYhUxTW5a9euLF68mOLiYvLy8hgxYgS7d+/m9ddf54svvuCee+5h6tSp7N27l7179zJy5Eg6d+7M888/T9OmTUlKSqJr16589NFH/H/27jMwyipt4/h/ZtIzgRASSiChI4GI9CJNsIAKUkRKBBSsLAJBxRepukbWLLZ90YjCuxYsCLIuYNldF0EWQRCiYCLNQAKEQAiQMmmTzMz7ARmNRGCVyRMm1++T58wzz1zzYQ+be85zH4Ds7Gxuu+02srKyOHHiBC+++CLvv/8+e/bs4YsvvvhNGcV7aIeyXHFuvPFGUlJSGDFiBE6nkwkTJtCsWTMWLVrEE088weLFi/H19WXx4sX4+fkRFxdHfHw8Q4YMoUePHkRERFzw/i1atKCgoICZM2eyaNEiGjZsSMOGDRk+fPhvzhwXF8eBAwe4+eabadSoEa1btwagf//+7Nmzh9tvv53y8nL69OnDuHHjOH78eIX3P/jgg8yZM4ekpCQsFguzZs0iIiKChQsXEh8fj9PppH79+u4DTPr06cOCBQtITEykU6dOvzm3iAhcmevuOX5+frzwwgs89dRTFBcXU7t2bV544YULvmf+/PnMnDmTFStWcPXVVxMcHAzAlClTeOKJJxgyZAgOh4MHH3yQdu3asW/fvt+dU0TkSlxr4+LiSEhI4LbbbgNg3rx57vY/lTn3XZYtW4avry8vvPACvr6+TJs2jYkTJxIQEECtWrVITEwkPT39v8ri5+fHX/7yF/chrFarlcTExN/83USkZrsS1+QxY8aQkZHB8OHDKS8vZ8SIEXTv3p3o6GgeeeQRPvzwQywWCwsWLKBt27Z06NCBwYMHExgYSExMDH379qVbt2488cQTDB482L3jOTo6mvvvv5+JEycSFRXFH//4R6ZNm8batWupVavWb84rVzaTS89kivwql8tFdnY248eP56OPPsLPz8/oSCIiXk3rroiI52mtFRGpPrQmy5VILS9ELuCf//wnQ4cO5eGHH9aiLiJSBbTuioh4ntZaEZHqQ2uyXIk8skO5rKyM2bNnk5mZid1uZ/LkyVx//fUALFy4kGbNmjF27FgAVq5cyYoVK/Dx8WHy5Mn079+/wr2+/fZbnn76aSwWC7179+ahhx663HFFRERERERERERE5BJ4pIfy2rVrCQ0NZdGiReTm5jJs2DA6duzIY489Rnp6Ovfccw8AJ0+eZPny5axevZrS0lLi4uLo1atXhV9kFixYwOLFi4mKiuL+++/n+++/p23btp6ILSIiIiIiIiJeoLKNbpGRkTz11FNYLBb8/PxITEwkPDychIQEkpOT3ecmJCUlERISYvA3EBGpvjxSUB40/2IM9gAAIABJREFUaBADBw4EzvaCsVgsFBYWMnXqVDZt2uS+bvfu3XTs2BE/Pz/8/PyIjo5m7969tG/fHgCbzYbdbic6OhqA3r17s2XLlgsWlF0uF3a7HT8/P0wmkye+noiI/ILWXhERY2j9FRGpXGUb3Ro3bsy8efOIiYlhxYoVLF26lMcff5zU1FSWLVtGWFjYJd1ba6+I1HQeKSif+1XPZrMxbdo04uPjiYqKIioqqkJB2WazVfjVLzg4GJvNVuH1n58SHBwczJEjRy742Xa7nZSUlMv1VUREqq3OnTsbHcHt3NobGxuLv7+/0XFERGoMrb8iIpWrbKPb888/T7169QBwOBz4+/vjdDrJyMhg/vz55OTkMHLkSEaOHHnBe2vtFZGaziMFZYCsrCymTJlCXFwcQ4YMqfQaq9VKYWGhe1xYWFihwFzZ67Vq1bqkz9fCLiIiIiIiIlIzVbbR7VwxOTk5mbfffpt33nmHoqIixo0bx8SJE3E4HEyYMIHY2FjatGlz0c/QZjYR8WYX2sTmkYJyTk4OkyZNYv78+fTs2fNXr2vfvj0vvvgipaWl2O120tLSaN26tft1q9WKr68vhw8fJioqis2bN+tQPhGR36GyXnItW7Zk1qxZmEwmWrVqxYIFCzCbzbz00kts3LgRHx8fZs+e7W5HJCIiIiJyJahso9snn3zCK6+8wmuvvUZYWJi7iBwYGAhAjx492Lt37yUVlLWRTURqKo8UlJcsWUJ+fj5JSUkkJSUBsHTpUgICAipcFxERwfjx44mLi8PlcjFjxgz8/f3ZunUrO3fu5KGHHuLJJ5/k0UcfxeFw0Lt3b6655hpPRBYRqREq6yXXpk0b4uPj6d69O/Pnz2f9+vVERkayfft2Vq1aRVZWFlOnTmX16tVGxxcRERERuSSVbXRbs2YN77//PsuXLyc0NBSA9PR04uPj+fvf/47T6SQ5OZnhw4cbGV1EpNozuVwul9EhLqfS0lL1MhIR+RWFhYW4XC6sVitnzpxh5MiR2O12Nm3ahMlk4t///jdffvklzZo1o6SkhPvvvx+AYcOG8de//vVXDyrR2isiYgytvyIilUtISODTTz+lefPmwNmeyQcOHCAyMtLdSrNr165MmzaNZcuW8emnn+Lr68vQoUMZO3bsBe+ttVdEajqP9VAWEZHqp7JecomJie7TqYODgykoKMBms7l3bfx8/mInX6uPnIh4u+p0IKqIiPy6uXPnMnfu3Eu69t577+Xee+/1cCIREe+hgrKISA3zy15yixYtcr927vDTix2a+mu0S0NERERERETEu5mNDiAiIlXnXC+5mTNnMnLkSADatm3Ltm3bANi0aRNdunShU6dObN68GafTybFjx3A6nRfdnSwiIiIiIiIi3k87lEVEapDKDk2dM2cOCQkJPP/88zRv3pyBAwdisVjo0qULo0ePxul0Mn/+fIOTi4iIiIiIiEh1oEP5RETkd9PaKyJiDK2/IiJVT2uviNR0ankhIiIiIiIiIiIiIpdEBWURERERERERERERuSQqKFdjp4tKuePNL6j1+Hv0+t9P2X3sjNGRREREREREREREpAZTQbkae3jNDv62+zCF9nK+yshh9Fub8LKW1yIiIuKlzny0lqNPzCHvs38YHUVEpEbR34wiIsaybf+Kk2+9TunRI0ZH8RgVlKuxzQezK4z3n8znREGJQWnk12TnH2bPsS2cKTxudBQREZFq4egTc/lhzAiynk1k//DBZL34rNGRRES8Xvnp0xwYPZwdtf35rmM7CjZvMjqSiEiNc2TBbPYM6E36H+7ju/ZXkbfh30ZH8ggVlKuxbtHhFcbNwqzUswYYlEYqs/vIRj7ZncS2g2tZ881fSMtONjqSiIiIoVxOJydeWVxh7sRLfzEojYhIzXF0wRxyP14HTiclB/bxw4SxOO12o2OJiNQY5bm5nPjfF9xjl91OVuJCAxN5jgrK1dgLw7pwY+uGmEzQrkFt3h3fB7PZZHQs+ZHT5eC7oxt+NuNi15HPDcsjIiJSLZhMmHx9K079YiwiIpef7ettFcbl2SewZ6QbE0ZEpAZylZbiKiurMOcoKjIojWepoFyN1Q8J5B8P3ID9z+PYPfO283Ysi8FcZ4vKP+dwlhsURkREpHowmUw0nPl4hbnIx2YblEZEpOYIubZ3hbFvZCP8mzU3KI2IiPcpz83lh/Fj2FmvFql9e1D4zU4ATiQtJqVbB34YNwrrL9bievc9aERUj/MxOoBcnHYlV09ms4WrGvTg+2Ob3XNtI3sZmEhERKR6aDj9EUJ6XIttx3ZCru1NcMfORkcSEfF6jZ9IoPz0KXI/Xod/y5Y0/d9XMPnoT34Rkcvl6NxZnPnwAwCKknfww52jaJyQyOHHZvx0kb8/jZ/6E/bMTEJvvoXa199kUFrP0r8uIr9D12a3EhESzSnbURrUbkHjsKuMjiQiIlItWLv3xNq9p9ExRERqDHvWMWxfbcFZXETJvr0U7d6FtWt3o2OJiHiNgi2bK4zthzM4s+ZvFS8qLcWvcTQNZ8yswmRVTy0vRH4Hk8lEs4j2dGl2i4rJIiIiIiJimMwn52E/egQ4exDUkccfxVFQYHAqERHvYe1W8Uc630aNCe7c5bzrAtu2q6pIhlFBWUREREQuu+I935Pz9puU/HDA6CgiIjVC6eGMCmNnURFlJ7MNSiMi4n0aJyRS++ZbwWwmMKYdLd96j/r3/4E6tw0HkwlzYCCNnkggqF2s0VE9Ti0vREREROSyyl72KhnxU84OzGaaL3uTuqPGGhtKRMRLuRwOTBYLYcNvp+jbZPd8UIdOBDRvYWAyERHv4hseTutVa3C5XJhMP5131vLdVZTl5GAOCMBitRqYsOpoh7KIeI3s/3uNb1tGkRwVQebTTwLgKCgg68VnyZgxlfwvNhicUETE+7lcLjKfWvDThNNJZsITRsUREfFauf/4mF1tW7CjTiA/jB9DxH2TiUp8jpC+1xFxzwO0+mCN0RFFRLzSz4vJ5/iGh9eYYjJoh7KIeImi3d+SMf0P7vGxPz1FUPsOHP/f57Bt3QJA9rIltHz3A+oMGWpUTBER7+dy4Si0VZhy5OcbFKZ6KCsrY/bs2WRmZmK325k8eTJNmjRh3rx5uFwumjZtSkJCAj4+PiQkJJCcnExwcDAASUlJhISEGPwNRKS6cRQUkDZxHM4feySf+fAD/Js2JeqpZ2gwZbrB6URExNupoCwiXsH21dbz5s6sW+MuJgPgcnHyr6+poCwi4kEms5mIifeR/cpi91y9ex8wMJHx1q5dS2hoKIsWLSI3N5dhw4bRtm1bHn74Ybp27cqsWbPYsGEDN954I6mpqSxbtoywsDCjY4tINVa893t3Mfmcwq+3U7xvL3n/+pSAVq2pPfCWSnfRiYiI/F4qKIuIVwju3uO8OWv3Hpx6bzm4XO45c0itqowlIlIjRSc+R3CHjti+3k5Irz7UvWO00ZEMNWjQIAYOHAicbQlisVhYvHgxFosFu93OyZMnsVqtOJ1OMjIymD9/Pjk5OYwcOZKRI0canF5EqqPAdldjqVMHx5kz7jnfyEhSu3fAVV4OQMTd99L0pSVGRRQRES+mgrKIeIXgazoS/dz/cuxPT+Gyl1LvwYeod8/9FO36lpN/fQ0AS61aNHzkMYOTioh4P5PZTPidEwi/c4LRUaqFc+0rbDYb06ZNIz4+HovFQmZmJhMnTsRqtdKmTRuKiooYN24cEydOxOFwMGHCBGJjY2nTps1FPyMlJcXTX0NEqhnXEwth8fNwPAuuu57Te/fCj8VkgJNv/ZWcoSMwhdU1MOXl0blzZ6MjiIjIz5hcrp9t3fMCpaWlpKSkEBsbi7+/v9FxRKQaKPhqC/aMdGpdfxO+4eFGx/FKWntFRC4sKyuLKVOmEBcXd96u41WrVrFjxw4WLlxIcXEx1h8PdPnzn/9M69atGTZs2K/eV+uviJyz58Z+2LZ++dOEycQ1+zPwaxhpXCgvpbVXRGo6s9EBREQ8LaTHtdQdHadisoiIGCInJ4dJkyYxc+ZMdzH5wQcfJD09HTi7g9lsNpOens7YsWNxOByUlZWRnJxMu3btDEwuIleS+g/Fw896JofdMUbFZBER8Qi1vBARERER8aAlS5aQn59PUlISSUlJAMTHxzNr1ix8fX0JDAwkISGBevXqMXToUEaNGoWvry9Dhw6lVatWBqcXkStF2NDh+H+xldxPPyag1VWEjVAPdhER8Qy1vBARkd9Na6+IiDG0/oqIVD2tvSJS06nlhYiIiIj8ZsX79nJgzO2k9OjEsWcScDkcAJTn5VGw9UscNpvBCUVERERE5HJSywsRERER+U1cDgf7RwzGnpEOQGbKbkz+/gRe1Ya0ieNwFhZiqV2blu+sotZ1A4wNKyIiNUpZWRmzZ88mMzMTu93O5MmTiYyM5KmnnsJiseDn50diYiLh4eGsXLmSFStW4OPjw+TJk+nfv7/R8UVEqjUVlEVERETkNylO/c5dTD4n95OPyF66BGdhIQCOvDwOz3qU2K+SDUgoIiI11dq1awkNDWXRokXk5uYybNgwGjduzLx584iJiWHFihUsXbqUe++9l+XLl7N69WpKS0uJi4ujV69e+Pn5Gf0VRESqLbW8EBEREZHfxC+qCebAwApzAa2vwp55tMKc/ejhqowlIlJj2Y9lcnL5G9i2bTU6iuEGDRrE9OnTAXC5XFgsFp5//nliYmIAcDgc+Pv7s3v3bjp27Iifnx8hISFER0ezd+9eI6OLiFR7HtuhXNnjJS1btmTWrFmYTCZatWrFggUL2Lx5M0uXLgXOLvI7d+7ko48+okWLFu57vfHGG6xatYqwsDAAnnzySZo3b+6p6CIiIiJyCXzq1CH6+cUcfmwGzoICgjp2ptG8J3HabJxevdJ9XdiIUQamFBGpGfL/8wX7h9+Kq6QEgPrTZhC9cJHBqYwTHBwMgM1mY9q0acTHx1OvXj0AkpOTefvtt3nnnXf4z3/+Q0hISIX32dT/X0TkgjxWUK7s8ZI2bdoQHx9P9+7dmT9/PuvXr+fGG2+kb9++ACxbtoxOnTpVKCYDpKSkkJiYSGxsrKfiioiIiMhvEDH+bsJG3EF5zkn8mzQFoGnSUvybNadwx3asvfrQ8OHHjA0pIlIDZP15obuYDJCdtJiGD/8PvuHhBqYyVlZWFlOmTCEuLo4hQ4YA8Mknn/DKK6/w2muvERYWhtVqpfDHNk0AhYWFFQrMF5KSkuKR3CIi1UHnzp1/9TWPFZQHDRrEwIEDgZ8eL0lNTaVbt24A9O3bly+//JIbb7wRgOPHj7NmzRpWr1593r1SU1N57bXXOHnyJNdddx0PPPCAp2KLiIiIyH/JEhyM5cedYOfGjZ9IMDCRiEjN4ygqrDB2lZfjKi35lau9X05ODpMmTWL+/Pn07NkTgDVr1vD++++zfPlyQkNDAWjfvj0vvvgipaWl2O120tLSaN269SV9RmxsLP7+/h77DiIi1ZXHCsqVPV6SmJiIyWRyv15QUOC+/vXXX+fuu++utPH9rbfeSlxcHFarlYceeogNGzZc9NRV/VIoIt7uQr8WioiIiEjNUu++yRza9pV7HHrLYPwaNTYwkbGWLFlCfn4+SUlJJCUl4XA4OHDgAJGRkUydOhWArl27Mm3aNMaPH09cXBwul4sZM2aoSCwichEeKyjD+Y+XLFr0U/+mwsJCatWqBYDT6WTjxo3MmDHjvHu4XC7uuusu9yMn/fr14/vvv79oQVm/FIqI/Lpdu3bx7LPPsnz5clJTU1mwYAF+fn7ExMQwZ84czGYzkydP5syZM/j6+uLv78+yZcuMji0iIiIivyJ8zJ341q9P7scfEdj6KsInTDQ6kqHmzp3L3LlzL+naUaNGMWqU+v2LiFwqjxWUK3u8pG3btmzbto3u3buzadMmevToAcD+/ftp1qwZAQEB593HZrMxePBgPvnkE4KCgti2bRu33367p2KLiHi9pUuXsnbtWgIDAwGYN28ec+fOpVOnTrzwwgusW7eOoUOHkpGRwccff+x+skREREREqrfa/W+gdv8bjI4hIiJezuypG//88ZLx48czfvx44uPjWbx4MaNHj6asrMzdY/nQoUNERUVVeP+6det4//33CQkJYcaMGUyYMIG4uDhatmxJv379PBVbRMTrRUdHs3jxYvf4xIkTdOrUCYBOnTqxc+dOcnJyyM/P58EHH2Ts2LFs2LDBqLgiIiIiIiIiUo14bIfyrz1e8vbbb583d/PNN3PzzTdXmDt3AivAsGHDGDZs2OUPKSJSAw0cOJCjR4+6x1FRUWzfvp1u3bqxYcMGiouLKSsrY9KkSUyYMIG8vDzGjh1L+/btqVu37gXvrf71IuLt1L9eRERERGo6j/ZQFhGR6m/hwoU8/fTTvPzyy3Tp0gU/Pz/Cw8MZM2YMPj4+1K1bl5iYGA4dOnTRgrL614uIiIgYx1FQQMHWzQS0bE1A8xZGxxERES/lsZYXIiJyZfjiiy949tlnefPNN8nNzaVXr15s2bKF6dOnA2cPUT1w4ADNmzc3OKmIiIiI/JrCb3ayq21zDowYwnfXtCHruUSjI4mIiJfSDmURkRquSZMm3H333QQGBtK9e3d3n/rNmzczatQozGYzDz/8MGFhYQYnFREREZFfk/n0kzjOnDk7cLnIXPhHIibdj0+dOsYGExERr6OCsohIDdS4cWNWrlwJwIABAxgwYMB518yZM6eqY4mIiIjIb1R+MrvC2FVaiiM/TwVlERG57NTyohordzhJXJ/CgKR/Me1v28mxlRgdSUREREREaqjS8mLSsr/h6Ol9uFxOo+PIL9QdO77COKRXH/ybNDUmjIiIeDXtUK7GFvxzF8+sTwHgi7QTpBzP5fM/3GRwKhERERERqWkKSk7x8a5XKCmzARAZ2pqbYicZnEp+rv6DU7CEhpL78ToCW19F/akzjI4kIiJeSgXlauyDXRkVxl+kneCkrYQIa4BBiUREREREpCbac2yLu5gMcCx3Pyfy0qlfu6lxoeQ84WPuJHzMnUbHEBERL6eWF9VYkzrBFcZhQX7UCvA1KI2IiIjIpSs5sJ+cFe9Qmn7I6CgichmUO8rOn3PaDUgi5xTv30fOO29RvH+f0VFERKSGUUG5GvvzkM40CAkEINDXwovDuuLvYzE4lYiIiMiFnXx9Gd91asehe+9i9zVtOPXBSqMjicjv1LpBV8ymn/4WqR0YQcPaLQxMVLOdfOt1UjrHcuiBSaR0jiXn7TcByHn7TQ6MHcmRBbMpP33a4JQiIuKt1PKiGuvQKIxDc4ez69gZWoaHUCfI3+hIIiIiIhd19Ml54HKdHTgcZP5xHnVHjjI2lIj8LuEhUQy+ZgppJ7/B3yf4bIHZrM0uRsl8asFP66zLxdGnFuDIz+fwYz/1TbZt2UzMZ5sMSigiIt5MBeVqzs/HQtfocKNjiIiIiFwSl9OJw1ZQYc6Rn29QGhG5nMKskYRZI42OIXDeOussyCdnxTsV5mxbt1Cafgj/ps2qMpqIiNQAankhIiIiIpeNyWwm4q57KsxFTLrPoDQiIt6p3j33VxhH3PsAvvXrV5gz+ftjCa1TlbFERKSG0A5lEREREbmsov/8PEHtr6Hw6+1Ye/eh7ug4oyOJiHiVxk89Q2C7q7F9tRVrz2upOzqO4u92Ubh9G+WncsBsptH8P+ITGmp0VBER8UIqKIuIiIjIZWWyWIi4axIRd00yOoqIiFcymUyEjx1H+Nhx7rmg9h1ov+cgtm1bCGjRCv/oJgYmFBGpGVwOB4dnPUrOG8uw1A6l8ZNPE37nBKNjeZxaXoiIiIiIiIh4AUtQELX736BisohIFcl563WyX1mMs7iYsuNZHJp8LyUH04yO5XEqKIuIiIiIiMhFlZTZ2H98Oxk5KTidDqPjiIiIGM62/auKE04nhTu+NiZMFVLLCxEREREREbmg/OIcPt6VRGl5EQANajdnYOx9mEwmg5OJiIgYx3ptb3KWv/HThMWCtXsPw/JUFe1QFhERERERkQvac2yLu5gMcDzvICfyDxmYSERExHjhd06gwYxHsYSG4t+0Gc2XvYV/k6ZGx/I47VAWERERkcuq5MB+Dv3hXmzbtxHSqw/NXv0r/lHRRscSkd/B4Tq/xYXaXoiISE1nMpupM3QEjvwCfOqEEtKrt9GRqoQKyiIiIiJyWR287y5377iCTRtJf+gBrlrzqcGpROT3uKpBN9Kyd+JwlgNQJ6gBDUKbG5xKfunMujXkfrKOgFatqXf/H7BYrUZHEhHxaradX7P3hr64ys/++3hqxbvEJqdiCQoyOJlnqaAsIiIiIpeNy+E47yAS27atBqWpHsrKypg9ezaZmZnY7XYmT55MkyZNmDdvHi6Xi6ZNm5KQkICPjw8rV65kxYoV+Pj4MHnyZPr37290fBEA6lobMaTDNA6e/JYAnyBa1u+C2WQxOpb8zMk3/o/0hx5wj/M3fs5Va/9hYCIREe936u233MVkAPvRI+T/+1/UuW2Ygak8TwVlEREREblsTBYLwV26VigqW7v3NDCR8dauXUtoaCiLFi0iNzeXYcOG0bZtWx5++GG6du3KrFmz2LBhAx06dGD58uWsXr2a0tJS4uLi6NWrF35+fkZ/BREAQoPq0anJTUbHkF9x8o1lFcb5n/+b0iOH1XJIRMSDLLVrnz9Xp44BSaqWDuWrZrILinl2Qyp//jyFY3lFF3+DiIiIiIEKvtpCSrcO7AgN4MDYkZSfOUPzpW9i7XEt+PgQ0q8/TV961eiYhho0aBDTp08HwOVyYbFYWLx4MV27dsVut3Py5EmsViu7d++mY8eO+Pn5ERISQnR0NHv37jU4vYhcKXzqhFUYm3x9sQSr5YWIiCfVe3AKftFN3OPag24hpHdfAxNVDe1QrkZOF5XS5YVPyPyxkPz8F9/zzSODaVjLu/uuXMnyi3PY+sOH5NiO0qB2C65tOZxAvxCjY4mIiFQJZ1kZaeNGU3Y8C4DcdX/naEQ9wu+aSNmJ41BeTllWFo78fIOTGis4OBgAm83GtGnTiI+Px2KxkJmZycSJE7FarbRp04ZNmzYREhJS4X02m+2SPiMlJcUj2UXkyuEadgds/g8Un/170jV2PLsOHYJDhwxO9vt17tzZ6AgiIpXya9CQq3emkLf+M3xCQ7H26oPJZDI6lsepoFyNrPw2w11MBjhpK+XdnYd4pH87A1PJhXyxbwWnbEcBOHL6e7ammRgQM97gVCIiIlXDfjjDXUw+x7ZtK7atX1J66CAAJfv3khH/B2I+22RExGojKyuLKVOmEBcXx5AhQwBo1KgR//rXv1i1ahXPPPMMN910E4WFhe73FBYWVigwX0hsbCz+/v4eyS4iV4jOnSkfPIT8TRsJaNWaoNirjU4kIlIjmAMDqTP4NqNjVCm1vKhGfC3n/4LhazFzqrAUh9NpQCK5kHJHmbuYfM6JvCv/138REZFL5d+kKb4NIyvMWbv3oHhPaoW5ou92V2WsaicnJ4dJkyYxc+ZMRo4cCcCDDz5Ieno6cHYnstlspn379uzcuZPS0lIKCgpIS0ujdevWBiYXkStN8YF9ZL2wiL23XE/61Mk4S0qMjmSYsrIyZs6cSVxcHCNHjmT9+vXu1xYuXMh7773nHickJDBixAjGjx/P+PHjKSgoMCKyiMgVQzuUq5FR1zRl0eepHMg5+49Xo9pBvPl1GjPW7KBx7SBeH3stA1o1NDilnONj8SU0qD65RSfcc+EhjQ1MJCIiUrVMPj60fGcl6dOnULJvD6G3DKHxH/9E6cE08jd+7r6u9vU1+xCvJUuWkJ+fT1JSEklJSQDEx8cza9YsfH19CQwMJCEhgYiICMaPH09cXBwul4sZM2Zo17GIXDJnSQk/jB5B+akcAE6+vhSfiAgaz/+jwcmMUdmBqB07duSxxx4jPT2de+65x31tamoqy5YtIyws7AJ3FBGRc0wul8tldIjLqbS0lJSUlCv2sT9baRkf7DqMw+VkTcoRPv4+0/1ao9pBHJwzHB+LNpZXF6dtx/jP/pWcKTpOvVpN6dt6NNYA7z/NU+SXrvS1V0QuL/vxLA4/9jCFO7YT0qsP0c88h0/dukbH8kpaf6Uq7Tu+jQMndhDgE0yH6OsJD4kyOlKNV/LDAU5/+AG+9RsQ0Poq9t5Q8SAoa89exHz2hUHpjFVYWIjL5cJqtXLmzBlGjhzJG2+8wenTp9m0aRPh4eGMHTsWp9NJ79696dSpEzk5OYwcOdL9NMmv0dorIjWddihXM1Z/X+7u1gKAZ9ZXPFwlM6+InMJSGtQKNCKaVCLMGsnQTvE4nQ7MZovRcURERKoFvwYNafnWexe/UESuGOk537H1hw/d4xP5hxjZdRb+PvrbxCiFyTvYc9N1uH5saxHcrTuWWrUqHIQa3LmLUfEMV9mBqFFRUURFRbFp0099/YuKihg3bhwTJ07E4XAwYcIEYmNjadOmzUU/Qweiiog3u9CBqCooV2M3tG7Ia1sPuMdXNwxVMbmaUjFZRERERLzZ4VPfVxiXOUo5nneQJnV1gLhRTrya5C4mAxRu30bjhESyX30Ze+ZRQm8ZTOTj8w1MaLzKDkT9pcDAQCZMmEBg4Nm/tXv06MHevXsvqaCsHcoiUlOpd0I1tmhIZ+7t0ZKo0CBujmnEB3f3MzqSiIiIiIjUQLUDwyuZizAgiZxjMp//53xQ+2to8txfaPdVMq1W/A2f2rUNSFY9VHYgamXS09MZO3YsDoeDsrIykpOTaddOP5SIyMW5nE4Kk3dgzzpmdJQq57EdymVlZcyePZvMzEzsdjuTJ0+mZcuWzJo1C5PJRKtWrViwYAFms5nJkydz5swZfH198ff3Z9myZRXu9fnnn/Pyyy/j4+PD7bffzqhRozwVu1qx+vvy6h09jY4hIiIiIiI1XExkL7Ly0jiedxCzyUKLfePvAAAgAElEQVT7qP6EBtUzOlaNVn/yQ5xevRJnUREAQR07kzZ+NI68PAAazXuSyP+ZY2REQ1V2IOrSpUsJCAiocF2LFi0YOnQoo0aNwtfXl6FDh9KqVSsjIovIFcSeeZR9gwdScmAfWCxEzppLo8fnGR2rynjsUL7Vq1ezd+9e5syZ4z5RtU2bNkycOJHu3bszf/58+vTpw4033sgtt9zCxx9/jMlkOu8+ZWVl3HLLLXzwwQcEBgYyduxYXn31VcLDz/+FHNQcX0TECFp7RWqu8tOnOfHyXyg9nEHY8NsJveXsI8XOkhJKD6bh36o1Zl9fg1N6L62/UtUKSk7jZwnA3zfI6CgClB7O4Myav+FbvyE57y0n/7N/ul8z+fnRIS0Tnzo6NPxy09orIhkzppK99JWfJsxm2qf+gH9UtHGhqpDHWl4MGjSI6dOnA+ByubBYLKSmptKtWzcA+vbty5YtW8jJySE/P58HH3yQsWPHsmHDhgr3SUtLIzo6mtq1a+Pn50fnzp35+uuvPRVbRERERP4L+4bezLHEpzn13tscGDWcU6veJ3/DenZd1ZSUbtewu00zbNu/MjqmiFwmIQFhKiZXI/7RTWgwdQZ1R43BcfpUhddcdjuO/DyDkomIeLfSw+kVJ5xO7EePGJLFCB5reVHZiaqJiYnuXcjBwcEUFBRQVlbGpEmTmDBhAnl5eYwdO5b27dtTt25d9/tDQkIq3Ndms13083Xaqoh4uwuduCoiUhWKUnZT9M3OCnM5y1+nNCOd8lM5AJSdOE7GI9Np959tRkQUEakxwsfdTeHOHe5xSJ9++DdpalwgEREvFnb7KPL++al77NekKcFduhmYqGp5rKAM55+oumjRIvdrhYWF1KpVi/DwcMaMGYOPjw9169YlJiaGQ4cOuQvKVquVwsLCCu/7eYH51+jRExGRX7dr1y6effZZli9fTmpqKgsWLMDPz4+YmBjmzJmD2WzmpZdeYuPGjfj4+DB79mzat29vdGwRqWYsoXXAbAan0z3nE1aX/I2fV7iuNO1AVUcTEalx6t33IJY6YeR+so6AVq1pMGW60ZFERLxWeNx4cDo5tfI9HHl5lJ3KYe9N/Wg09wlqX3+T0fE8zmMtLyo7UbVt27Zs23Z2d8qmTZvo0qULW7ZscbfGKCws5MCBAzRv3tx9nxYtWpCRkUFubi52u50dO3bQsWNHT8Wulk4UFFPucF78QhGRS7B06VLmzp1LaWkpAPPmzWP27Nm8++67WK1W1q1bR2pqKtu3b2fVqlU8//zzPPnkkwanFpHqyL9xFPUf+qlg4VM3nMjHZhN6860VrgsdPNT93y6Ho8ryiYjUNHVHjqLFX5fT6PF5WGrVMjqOiIhXCx93FxF33UPhzq+xpx+i8OvtHBg1HPvxLKOjeZzHdihXdqLqnDlzSEhI4Pnnn6d58+YMHDgQi8XC5s2bGTVqFGazmYcffpiwsDDWrVtHUVERo0ePZtasWdxzzz24XC5uv/126tev76nY1cqhUwWMfOMLvj12hoa1Anl9zLXceFWk0bHkAk7ZMvnu6BeUO+xc1bA7UWExRkcSOU90dDSLFy/mscceA+DEiRN06tQJgE6dOrF+/Xry8vLo3bs3JpOJyMhIHA4Hp0+fJiwszMjoIlINRS9cRHjceEozMqjVrz8Wq5Vmr75O5pPzsO3YTkiv3jSa+yQlaT9w8P67Kdz2FcFdutLstTcIbH2V0fFFRLyCy+UCpxOTxeKesx/LpPRgGsFdumEOCDAwnYiI98pb/68KY1dpKQX/2UTdO0YblKhqeKygPHfuXObOnXve/Ntvv33e3Jw5c86bGzJkiPu/BwwYwIABAy5vwCvAw2t28O2xMwBk5RczacUWDs0dgY/FYxvL5SLSsr9h95HPcboctI3sTUzkte7Xiu02/vHda5Q5zu76PHpmHzdf/QD1azc1KK1I5QYOHMjRo0fd46ioKLZv3063bt3YsGEDxcXF2Gw2QkND3dec63t/sYKy+teL1DyutAO4li6B7OOYBtwId94FRYW48vKgvIyiM7lk796Fa2Y87PoGgMIdX5MybjTmV/7P4PT/PfWvF5HqJnvpEjKfWoCj0EbExPuITnyOE0te5sjsmeBw4Fu/Aa3X/oOgdrFGRxUR8TpBsee3hgyKvdqAJFXLoz2U5fdJOZ5bYXwsv5hTRaXUDwk0KFHNdtp2jP/sXwm4ANh2cC21gyKIDG0FQOaZfe5i8lku0nN2q6As1d7ChQt5+umnefnll+nSpQt+fn7qXy8il8RZWsruUUMpO3EcAFfaD0S3voqCzZs4s+ZvZy/6bjd1fSyc2vv9j/+C/mhPqoqzIiK/U/Ge78mY8ZB7nL3kJQJat+bogtnwY4uhshPHyXxqAa1WrDYqpoiI14q4535s27Zy+sMPMAcGEjl7PoExbY2O5XHa6lqN3fSL9hYdIuuomGygrLyDUPFPYbJy08gtyuZg9rdYzL7nvccaUKeK0on8dl988QXPPvssb775Jrm5ufTq1YtOnTqxefNmnE4nx44dw+l0qt2FiJynMHmHu5h8Tu6nH3Fm3d8rzJ35+2pCevWpMPfLsYiI/PcKk3ecN2fbugVXSUmFOfuxzKqKJCJSo5j9/Wnx5rt0PJxNx/TjNJz+iNGRqoR2KFdjfx58tqfpv/YdI7ZBKM8N7WJwopot3NrovLmSskL+nvwC4MJkMtOgdguO56UBUK9WE1o36FbFKUX+e02aNOHuu+8mMDCQ7t27069fPwC6dOnC6NGjcTqdzJ8/3+CUIlIdBTRvicnXF1dZmXsuMKYtpQfTKE0/5J7zb9qcpklLSX/oAWxbv8TarQdNX3rViMgiIl7F2rMXmM3g/OkQ99BbhlB6KI3CHV+75+qOGmNEPBERr3T85b+QveRlzAGBRM6aS9jtd+Dzs5aRNYHJ5XK5Ln7ZlaO0tJSUlBQ9di0e8e3hf5NydBNOl5OrGnTnh+ydlDl++vU/NKg+A2ImUO60Exbc0MCkIlVLa69IzZW97FWOzHkMZ2Eh1h49abniQ4q+2UHa3XfiyMvDJ6wuLd/7QDuSPUTrr4icWvU+mQkLcBTk4xfVhPLsE/g1bYZ/4yjKT58i9NbbiJh4LyaTyeioXkNrr0jNlfuPjzkwcuhPE2YzsTu+q3GHTWuHssh/oUP0DVzd+Dr3eN/xryq8bi8vplZg3SpOJSIiYpx69z5A3TF3Up57Bv/GUQCE9O1P/fhHKdj4OaE33Yy1e0+DU4qIeK+6d4ym7h2jOTL3fzj+4nMA2I8cpqxZc67etReTWZ0uRUQul/yNn1eccDop2LRRBWURuTCL+af/2bSs15n9J7a7x2pxISIiNZHFasVitbrHGfFTyFn+BgAFX2zAnpVJ9DPPGZRORKRmyFv/7wrj0kMHKU37gYBWrQ1KJCLifYI6dDpvzp59gj03XYdPnTo0fGw21s5dDUhWtVRQFvkderQcSpg1klO2ozSs3ZLm9ToYHUkq4XK5cJWVYfbzMzqKiIjXczmdnFrxToW5nHeXq6AsIuJhQVe3p/i7Xe6xpU4d/KKiDUwkIuJ96o4ai+2rreS8+X+Y/P2pc9swshb+0f16/qaNXJPyAz51vfvpdT37IvI7mE0W2jTsQa9WI1VMrqZyP1nH7pjm7Ay3cmDM7Tjy842OJCLi1UxmMz7hERXmfCPqG5RGRKTmaPzHhVh7XguAb/0GNH/tdcwBAQanEhHxLiazmaYvvkSnY6fpeDgbk1/FPurOgoLz22J4IRWURcRrOQoKSJs0HvvRI+B0kvvRGjKfecroWCIiXi/q6T9j8vUFwBQQQFTCnwxOJCLi/fwaNCTms010zDjBNfvSCb15sNGRRES8ljkwELOfHwHNW5z3mn+L8+e8jVpeiIjXKt6/F6fNVmGuaOcOg9KIiNQcdUeNIaRvP4q+TSa4czd8IyIu/iYREbksvP0xaxGR6iD3k3WcWbcG30aNsV7bG9uWzWCx0GBqPMGV9Fn2NiooXwEy84qoZw3A16IN5SL/jaC2sfiE1aX89Cn3XEiffgYmEhGpOfwaNMRv0K1GxxARERG5ojmc5Rw5vQeny0FUWFt8LTobyGg5773Nofvudo9DevXh6l17sVhD8K1fM1q9qaBcjaXlFHD7Gxv5LiuX+iEB/HXMtQxq08joWCJXDHNgIC1XrObwrEexpx+izvCRNJz5uNGxRERERER+t7ITJzi18l0wm6k7+k58w8ONjiQil1m5w87Hu5I4U3QcgJCAugzuMAV/nyCDk9VsJ19fVmFc8OV/wOWqMcVkUEG5Wntk7Q6+y8oF4ERBCfes2ErGvBH4aKeyyCULubY37TZ9ZXQMEREREZHLpiw7m9RrO1N24myR6cTiF2m3ZSc+YWEGJxORyynjVIq7mAxQUHKKtBPJtG3U28BUct5aa7FgCallTBiDqDJZjaUez60wPl5QzKmiUoPSiIiIiFyakgP72XNjX76u7c/eW26g9MhhoyOJiHiVUyvfdReTAexHj3B69UpKD2eQ/delFGzeZGA6Eblcyh1l5885z5+TqhX5P3Ow1PqpgFyrTz/2DRnInhv7kb/xcwOTVR0VlKuxX7a36NQ4jPohgQalEREREbk0B++7C9vWLeBwULBpI+kPPWB0JBER72I6/0/5krQDfNexLRnTJrN30AAyZs4wIJiIXE5NwmMJ9A1xj/0sATSP6GhgIgEI7tiZ9qlptHh7JY0TEsnf+DnF36dg2/ol+0feRtmJE0ZH9DgVlKuxxMGdeKj3VbQKD2H41dGsukuHiYmIiEj15nI4KNzxdYU527atBqUREfFO4WPuxC8q2j32b96Com+/wVX60xOt2a8lUXbypBHxROQyCfANZnCHh+gQfQPtowYwpOM0rAGhRscSwKdOHcKGjaBk/94K866SEvI3bTQmVBVSD+VqLMjPh78M72Z0DBEREZFLZrJYCO7StUJR2dq9p4GJRES8j0/durTbspPTf1uFyWymzog7OHD74IoXORy47GqZKHKlC/avTYfoG4yOIb8isG27S5rzNtqhLCIiIiKXVfOlb2LteS0mHx9C+vWn6UuvGh1JRMTr+NSpQ7177idi4r341K5NvfunVHg9dMgw/Bo1NiidiEjNUO/eB6lz23AwmTAHBtLoiQSC2sUaHcvjtENZRERERC6rgFatiflMB0KJiFSluqPG4NuwIbmfrCOwdRvqxo03OpKIiNczBwTQ8t1VlOXkYA4MxBIcbHSkKqGCsoiIiIiIiIgXqNWnH7X66OwdEZGq5hsebnSEKqWWFyIiIiIiIiIiIiJySbRDWURERETEg8rKypg9ezaZmZnY7XYmT55MZGQkTz31FBaLBT8/PxITEwkPDychIYHk5GSCf3xcMikpiZCQEIO/gYjIlaeytff6668HYOHChTRr1oyxY8cCsHLlSlasWIGPjw+TJ0+mf//+RkYXkSuEy+mkYNNGAEL6XofJbMZZUsKpVSsoO5ZJnaEjCGwTY2xID1FBWURERETEg9auXUtoaCiLFi0iNzeXYcOG0bhxY+bNm0dMTAwrVqxg6dKlPP7446SmprJs2TLCwsKMji0ickWrbO3t2LEjjz32GOnp6dxzzz0AnDx5kuXLl7N69WpKS0uJi4ujV69e+Pn5GfwNRKQ6cxYXs/eW6yn8ejsAwV260ubTz9k/YjAF//kCgGOJT3PVJ/8mpMe1Rkb1CLW8EBEREZHfzX4sk5IfDhgdo1oaNGgQ06dPB8DlcmGxWHj++eeJiTm7Y8XhcODv74/T6SQjI4P58+czZswYPvjgAyNji8gVyOV0Urznexz5+UZHMVxla29hYSFTp05l6NCh7ut2795Nx44d8fPzIyQkhOjoaPbu3WtUbBG5Qpz+2yp3MRmgcMfXHHsu0V1MBnDZ7WQvedmIeB6nHcoi4tXyN23k8MwZlGYcImz4SJo8vxhzYKDRsUREvErGjKlkL1sCLhe1rhtAy/c/rDEnXF+Kc+0rbDYb06ZNIz4+nnr16gGQnJzM22+/zTvvvENRURHjxo1j4sSJOBwOJkyYQGxsLG3atLnoZ6SkpHj0O4hI9ec6egTX/8yAo0cgMBBT/ExMg241OtZl0blz5//6PZWtvVFRUURFRbFp0yb3dTabrUJroeDgYGw22yV9htZekZrLtevb8+ayKtlccTovj9ydO6si0mV3obVXBWWR3ym3KJtTtkzq12qGNSDU6DjyM46iIn648w4cZ84AkLP8DXwbNKTxgqcMTiYi4j0Ktmwme+kr7nH+xs85+cb/0WDKNANTVT9ZWVlMmTKFuLg4hgwZAsAnn3zCK6+8wmuvvUZYWJi7iBz44w+fPXr0YO/evZdUUI6NjcXf39+j30FEqrcfXlzEmaNHzg6KizEtfp4O0x/GYrUaG8xAla29v2S1WiksLHSPCwsLL7l3vdZekZqrtF4EKctfx1lQAIDZaiX2jwvJyMsl77N/np0LCqLNvCcI7vTf/yhW3amgLPI77M3ayldpawAwmcxcd1UcTcJjDU4l5xR/n+IuJp9j27LZoDQiIt6p9NDB8+cOppHzzlvYvt5OSK8+1L1jtAHJqo+cnBwmTZrE/Pnz6dmzJwBr1qzh/fffZ/ny5YSGnv1BOj09nfj4eP7+97/jdDpJTk5m+PDhRkYXkStI6cG0CmOnzUbZieNYrC0NSmSsytbeyrRv354XX3yR0tJS7HY7aWlptG7dugqTisiVyD8qmrbrN5O9dAmFu5KxHzvGD+NG0+jxuYSPn4j92FHqDBmGf5OmRkf1CBWUqzl7uYPdWbm0DA8hNFCHAlQnTpeT5Ix/uccul5NvDn+mgnI1EtimLZZatSr0kAvu1t3ARCJyuZzIO8SRM3upE1SfZhHXYDZZjI5UY9W+4SbMwcE4f7a7q+x4FocemATAyWVLKNm/l0ZzFhgV0XBLliwhPz+fpKQkkpKScDgcHDhwgMjISKZOnQpA165dmTZtGkOHDmXUqFH4+voydOhQWrVqZXB6EblShA6+jaJd37jHge2uJqBFzSwmw/lrL8DSpUsJCAiocF1ERATjx48nLi4Ol8vFjBkztOtYRC5JYNt2WK/t7X5ar+zoEX64cxTtU3/Ar2Gkwek8y+RyuVxGh7icSktLSUlJ8YpHT77NPM3gZZ+TlV9MoK+F10b1JK5TM6NjyY8cznLe2boAp8vhngvyq8WobrMNTCW/lPfZP8h4ZDqlGemEDbudpi+/VqMf+/MUb1p7pfpLy/6G/+x/3z1uHtGRvlfV7B2wRrNt/4qs5xJx2GxE3HM/h+6fiKukxP26T3gEHdOzDEzovbT+isg5LoeDrGef4fTqVQTGtKVxwjP4R0UbHcsrae0VkXMO/eE+ct56vcJc89ff8fon9MxGB5Bf9z8fJZOVXwxAcZmD6R9ux17uuMi7pKpYzD60rFexD07rBt0MSiO/pvaNg2i/ex9dckto8ea7KiaLeIHvj31ZYXzo5LeUlF3a4TniGdZuPWj1/oe0+fgzwoaPxBJcca21XGIvShER+e1K0n7g5Jt/pfj7FM58tIb8f//r4m8SEZHfJejqayqZa29AkqqlgnI1ln664h/Hp4vs5JWUGZRGKtOj5VB6thhOq/pd6dt6DB2ibzA6kvwKk8lkdAQRuUws5l+0tzCZMJn0f2mqC5PJRKN5T/40YTZXHIuIiEdkPjkP++EMAFylpRye9QiOHw+LEhERz4iYdB9ho8aC2Yw5JISoPy0isE2M0bE8ziM9lMvKypg9ezaZmZnY7XYmT55My5YtmTVrFiaTiVatWrFgwQLMZjOJiYkkJydTXl7O6NGjGTVqVIV7ffbZZyQmJtKwYUMApk6dSrduNWMX6MhrmvDM+hT3uF+L+kRYAy7wDqlqTqeD4rICiu0FFJcV4HQ51MdTRMRDXC4XJpOJqxv35/M9b+FyOQGIaXgt/j5BBqeTn6t37wOE9OpD4c6vsfa4loCW6gMsIuJppRnpFcbOwkLKTmbrKREREQ8y+/vT4q/Lafriy5j8/THXkDY4Hikor127ltDQUBYtWkRubi7Dhg2jTZs2xMfH0717d+bPn8/69esJCQnh8OHDvP/++9jtdm699VYGDhxI7dq13fdKSUlh5syZDBw40BNRq7UnB15DiL8P/9qXRWyDUObf5P1b5q80mw98QHrObgCOntlLkT2frs1uNTiViIh3KXOU8uWB1WTkpGANqEOPFkMZ3ulhMs/sJzSoPg1DWxgdUSoRGNOWwJi2RscQEakx6gwbQdG3ye5x0DUdCWiufyNFRKqCpVYtoyNUKY8UlAcNGuQuALtcLiwWC6mpqe6dxX379uXLL79k1qxZxMT8tA3c4XDg41MxUmpqKnv27OHNN9+kffv2PProo+dd4618LGZmXX81s66/2ugoUgmHs5yMnO8qzKVlf6OCsojIZbbr8Hr3j3cFJafYuPddRnWbTUzktQYnExERqT4aPvwYZn9/cj9eR0Crq4icPc/oSCIi4qU8UpkNDg4GwGazMW3aNOLj40lMTHT3MA0ODqagoAB/f3/8/f0pKytj1qxZjB492v3ec3r16sUNN9xA48aNWbBgAStWrGDcuHEXzZCSknLRa0R+D5fLhQU/yin9abLch507dxoXSmqUzp07X/wiES+QXXC4wrjMUUJeUTbhIY0NSiQiIlL9mMxmGkydQYOpM4yOIiLi9cpOnsQcFITlF3XMmsJjW32zsrKYMmUKcXFxDBkyhEWLFrlfKywspNaPW8Hz8vKYNm0a3bp144EHHjjvPrfffrv72uuvv55//vOfl/T5sbGx+NeQviVinLCTPmzevwqny4GPxY9+MSNpGNrS6FgiF7Vr1y6effZZli9fzp49e1iwYAEWi4WmTZvy9NNPYzabSUhIIDk52f1DX1JSEiHqwScGqF+rKdn56e6xn08gB058zRf73iM0qB5dm91KrcBw4wKKiIiIiEiN4Cgq4uDdceR+8hHmwEAi5yygYfyjRseqch4pKOfk5DBp0iTmz59Pz549AWjbti3btm2je/fubNq0iR49elBSUsLdd9/NxIkTue222867j8vl4rbbbmPFihU0aNCArVu30q5dO09EFvlNmkd0oGHtlpwpOk64tTF+Pjo0Uaq/pUuXsnbtWgIDAwF46aWXmDJlCv369eORRx5h48aNDBgwgNTUVJYtW0ZYWJjBiaWmuyZqAMX2/2fvzsOjrM7/j79nz57JvpCErEBCCLIvIqsaUFlUBKFCFbFKFQS3r8piK7gVq/1VSlFsbVkqgrQWxZ0dQRCQJWEPSci+r5N9Zn5/pIwMQYia5Jkk9+u6el05Z55n+EToZHLPOfepIK3oBO4Gbzyc/TiTewBobIFRUVPExD4LbDuhhBBCCCGEEKI15K9aQemnnwBgqa4mc9GzGG8bj3O37gona1vq1njSVatWUV5ezsqVK5kxYwYzZsxg/vz5vPXWW0ydOpX6+noSExPZsGEDGRkZbNq0yXZdRkYG+/fvZ8WKFahUKpYtW8Zjjz3GfffdR3V1NVOmTGmNyEL8bM56N4KN0VJMFu1GWFgYb731lm0cGxtLaWkpVqsVk8mEVqvFYrGQnp7OkiVLuPfee/nwww8VTCw6O61Gz7Bu93DfkBeZ2Hc+pVV5do+XVuVjqi1TKJ0QQgghhBCis6g+dfKqcw1lZViqqxVIpAyV1Wq1Kh2iJdXW1pKUlCQtL4QQ4hoyMzN54okn2LhxI5988gkvvvgi3t7euLu7s27dOurr61mzZg0PPPAAZrOZmTNn8vLLL9OjR4+rPt+l114h2sLFuv2UmTNtYw0GejjdgVrVKp+TC2HH0frXy3tfIYRoe/LaK0TnVbRxAxdm/XC2m9rVFY9RN1P66ceNLTCeX0LQ408qmLBttFoPZSE6mgZzHefzj1BdV064bwJeroEA5JSmUFSZSaBnJL7uoQqnFOKne+mll1i/fj0xMTGsX7+eV199lUWLFjFz5kxbW4zBgwdz+vTpHy0oXyJvqkVb6F4TxY5TaykyZeGkc+PGmMmEel/736YQQgghhBBC/FI+U+6lviCPwn++h9bbG+f4BPJXrQDAYjKRufD/MN46DufYOIWTti5ZyuMgzhWUc+uqr/Bb/AFT1+ymsLIGgOyyKtYfvsDx7BKFE3ZuVquVL5P/xrcpH3EsYzsfH32LvPI0jl78mi+SVnMo7TM+OfYXzuZ+p3RUIX4yT09P3NzcAPD396e8vJy0tDSmTZuG2Wymvr6eI0eOSA974TCcdK74eYThojfi49oFD2cfpSMJIYQQQgghOonARx8n/uBReny+HUuVqcnjVUknFEjVtmSFsoOYvm4PRzKLAfjwWDoalYr7B0Yx6e87qG2wAPDSbTfw7JheSsbstAorM8kvT7eNLVYzp7L3kVl82u66E5k76RY4oK3jCfGLLFu2jAULFqDVatHpdCxdupSQkBAmTpzIlClT0Ol0TJw4kZiYGKWjCgHA4fTPOZ2zH4CqulK2nyxhUl85lM/R1VxIQePqhi4gQOkoQohmyCtLI6v0DEaXAMJ9E2xthUqr8tFrnXHRuyucUAghhFCex+hbKFzznm2sMhhwv2m4gonahhSUHUB5TZ2tmHzJzpRcLpaYbMVkgGVfnWDeTbG46OWvra1drS+nWqXBin0LcqvV0uQ6IRxRSEgIGzduBKB///5s2LChyTWzZ89m9uzZbR1NiOvKLjlnNy6rzsdUW4qbk5dCicTlajMzKPv8UwwREXiMvgWLycS5qXdSsWsHaDQEPDqPsJeXKx1TCHENKflH2HN2o22cU3qe/hG383XyexRUXESFmviQ4fQLH6tgSiGEEEJ5PpOnUJ+dScF776IxGumy6HfoA4OUjtXqmt3yoqyszNZTs6SkhOeee46yMjlRvSV4OOnp5udhN9cvxIeymjq7uZoGM7UN5raMJlUjC7IAACAASURBVP7Hx60LIV4/9OfUavT07HITscFD7a7r2aXjfwolhBBKu9TD/hInnSvOslLOIVR8u4+kPnGkz3+UsxNvI23ObPLfXdVYTAYwm8n785uYjhxSNqgQ4pqSs/bajc/nHeFE5k4KKi4CYMXCicydlJhylYgnhBBCOJTAeU/Q6/uTxO3Yh+eYW5WO0yaaXVBevHgxvXr1orS0FFdXV/z9/Xn66adbM1unsvZXw4gN8ARgaLgfK+4ayG+G2G8vn5zQFS8XOexKKaPjZjAqdgaDoyZyZ98n8XELpn/4OMbEzqR36BgS4x8iNniI0jGFEKLDGxBxGz5uIQA469wZFjMFjVp27ziC3D+9jqW62jYuXPdPqo4dbXJdzfnzbRlLCPETqVUau7FKpaKyuumZLhU1RW0VSQghhBAOpNm/fWVmZjJ16lTef/999Ho9CxYsYMKECa2ZrVPpH+pD0jMTqK5vwFnX+Ncy96ZYuni68sWZLHoFevHQEOlfqiS1SkNXn6aHkoX6xBHq07FP7xRCCEfiajAy/obHqK6rxKBzblL4EMqx1NQ0mXMfPpLiTT+01VG7ueEx+ua2jCWE+Il6hY5k56n1WGls5xYbNIQAzwjSio7brtFrnQn0jFIqohBCCCEU1OyCskajoaKiwnbgTVpaGmp1sxc4i2a6VEy+5K6EMO5KCFMojRBCCOG4nPVuSkcQVwh4+LeUb/8aLI1FKI+bb8X/gdloXFwo+PtqNJ6eBD39HDpfX4WTCiGupatPTyb2fZysknN4uQYQbGxc2HJTtymczf0OJ50rCaGj0WudFE4qhBBCCCU0u6A8b948ZsyYQU5ODr/97W85evQoL7/8cmtmE0IIIYQQ7Yhx3B3EbttDwZp/UPnNbir2f8PZu8cTvuJtfKZOVzqeEOInMLoEYHQJsJuL8u9LlH9fhRIJIYQQjsNSV0fN2TM4RUWjdnZWOk6ba3ZB+aabbqJnz54cP34cs9nMiy++iK+sLhFCCCGEEJdxGzCIjOeeoubsGQDKvviMtMceptvmjxVOJoQQQgghxC9XeWA/56ZNpiE/D423N1Hvres0h/Fd0uyCcnFxMVu3bqWsrAyAU6dOAfDYY4+1TjIhhBBCCNHuWM1mKr/dbzdX8c0ehdIIIYQQQgjRstKfmk9Dfh4A5uJi0uc/RsKJswqnalvNboL80EMPcfLkydbMIoQQQggh2jmVRoNLn352c679BiiURgghhBBCiJZVe+G8/Tg9DWtDg0JplNHsFcoAr7zySmvlEEIIIYT4UfnlF6mqKyPYGCOHQLUDke+8x4XfPEDV94dxGzyE8BVvKx1JCCGEEEKIFuE14U4K1/7DNvYYMYrs5a+gNXrhM30GWk9P5cK1kWYXlG+++WY2bdrE4MGD0Wg0tvng4OBWCSaEEEIIAfDNuQ85l3cIAIPWhXEJj2B08Vc4lbgW59g4eu45gNVsRnXZ+0YhhBBCCCHau7A//hmtjw8Ve3djiIiiZOsWyndsA6Dg76uJ++Y71Hq9wilbV7MLyhUVFbzzzjt4eXnZ5lQqFdu2bWuVYEIIIYQQZdUFtmIyQG1DFUmZuxjW7R4FU4nmkmKyEEIIIYToaDQuLoQuew2Ai888gbWqyvZY9alkyrd9iXHcHUrFaxPNLih/+eWX7N+/Hycn2WYqhBBCiLZR11DTZK62oYqjF78ms/g0RpcA+nS9FVdDx99WJoQQQgghhHAsKl3T0qqqg69Ohp9wKF9oaChlZWWtmUUIIYQQwo6vWwjerkGXzajQqLUcvfg1hZWZnM8/zPZTaxTLJ4QQQgghhOi8/GY/gtbbxzZ2HTgIj5FjFEzUNpq9QlmlUnH77bcTExODTqezza9ZI7/ECSGEEKJ1qFQqEuMf4nTOfkx1ZUT49ubAhf/aXVNUmYWpthRXg1GhlEIIIYRwNPX19Tz//PNkZWVRV1fHnDlziI6O5tlnn0WlUhETE8MLL7yAWq1mzpw5lJSUoNPpMBgMvPvuu0rHF0K0E04RkcQfOkHJlv+gMXrhNX5ip2j71uyC8iOPPNKaOYQQQgghrsqgc6F32A+f8rs7+VJalW8b6zVOGHSuSkQTQgghhIPasmULRqOR5cuXU1payqRJk+jRowfz589n0KBBLFmyhG3btnHLLbeQnp7O1q1bUalUSscWQrRDOn9//Gc/rHSMNnXdlhfJyclA4wqhq/1PCCGE6GjWH75A4ttfM/NfezmdJ+2eHE3/8HG4OzVuK9NpDAyOnoRWrbvOXUIIIYToTMaOHcvjjz8OgNVqRaPRkJyczMCBAwEYPnw4+/bto7CwkPLych555BGmTZvGjh07lIwthBDtwnVXKL///vssW7aMP//5z00eU6lU0vJCdHrZJecorMwk0DMKf48wpeMIIX6hzcfTmfmvb2zjr8/mkLLwTpyvctiCUIanix939XuSsuoCXPVGdFqD0pGEEKLDySo5S0bxSTycfOkWOBCtpuMfMCQ6FlfXxt1LlZWVzJs3j/nz5/Paa6/ZFsa5urpSUVFBfX09s2bNYubMmZSVlTFt2jQSEhLw8fG51tMDkJSU1KrfgxBCKKlfv34/+th1fztetmwZAIsXL6Zbt252jx09evQXRhOiffs+/UuOZWy3jYdG30W3wIEKJhJC/FIfHku3G+dV1LA7JZ/EHsEKJRJXo1KpMboEKB1DCCE6pAv5R9l9doNtnFV6llt6zuJ0zreczzuEQefCDWE34+cuiymEY8vJyeHRRx9l+vTpjB8/nuXLl9seM5lMeHh44Ovry7333otWq8XHx4fY2FhSU1ObVVCOj4/HYJAPtoUQnc91C8qHDx/GYrGwaNEiXnrpJaxWKwANDQ387ne/44svvmj1kJ3ZxqNpfHE6m15BRh4Z2h0nXcdv7N1eWCxmkrP22M2dyNwlBWUh2rlwL7cmc129pD+vEOLnu9rBUMHBwSxduhSNRoNer+e1117D19eXjRs3smHDBrRaLXPmzGHUqFFKxxed0Oncb+3GWSVnOZW9jwMXttjm8svTmTzg/zBoXdo6nhDNUlhYyKxZs1iyZAlDhgwBIC4ujgMHDjBo0CB2797N4MGD2bdvH+vWrWP16tWYTCbOnTtHZGSkwumFEMKxXbegvG/fPg4ePEh+fj7/7//9vx9u1GqZOnVqq4br7P606yRPbjlsG+9LK2Djr0comEhcz6UPXIQQ7dcTI+P44kw2x7JLUKtUPD0qjh4BnkrHEkK0Y1c7GCokJITFixcTGxvLhg0bWL16NbNnz2bt2rVs3ryZ2tpapk+fzo033oheL60GRNvSaexXXKpQk1t2wW6u3lxLblkqXX16tmU0IZpt1apVlJeXs3LlSlauXAnAwoULWbZsGW+88QaRkZEkJiai0WjYu3cvU6ZMQa1W88QTT+Dt7a1weiF+cDb3IMcytmO1WogLHkZ8yHClIwlx/YLy3LlzAfjoo4+YNGnSVa/54IMPpLjcCt49cN5u/O8TFymuqsXbRbbUOAK1WkNc8DCOZ/5waIO8sAvR/vm5OXH4ids5ll2Cr6uBEKOsThZC/DJjx44lMTER+OFgqDfeeAN/f38AzGYzBoOB48eP06dPH/R6PXq9nrCwME6fPk1CQoKS8UUn1Dt0NHllF2iw1AMQGzwUg86F9CL7frGezn5KxBOiWRYtWsSiRYuazK9bt67J3MKFC9sikhA/WWFFJvvO/9s2PpT2Kd6uQQR7xSiYSohmFJQv+bFiMsCGDRukoNwKvJztV6M46zQ4aaXlhSPpG56Iv0c4Rf87lC/AM1zpSEKIFqBSqbihi6xMEUK0jKsdDHWpmHzkyBHWrVvH+vXr2bNnD+7u7nb3VVZWNuvPkIOhREuL1o+l0pyHQe2GpsSHWms9bmp/Ki35qFDjp40l5VQGkKF0VNEJXOtgKCE6srzy1CZzueUXpKAsFNciR9bLNv/W8bvE3kz42w5qGswALLmlNy76FvkrEy0oxLs7Id7dlY4hhBBCCAd25cFQAJ9++il//etfeeedd/D29sbNzQ2TyWS7x2Qy2RWYr0UOhhItzWq1cijtM87k7EWnMdCn6y0MDHyCyppSdFq99E4WQog24OsW2qw5Idpai1QnVSpVSzyNuMKYbkGkLLyTXSl59AoyEhdoVDqSEO1S7cV06i6m4zpwMGrpQymEEKKNXe1gqP/+97988MEHrF27FqOx8T1eQkICf/rTn6itraWuro6UlBS6deumZHTRiV0oOEpy1m4AGix17Dv/H/w9wjG6+CucTAghOo8Az3D6hY/leMbO//VQvpEwnzilYwnRMgVl0XoCPZyZ2idc6RhCtFvZry4j6+UXwWJBHxJK961f4RQVrXQsIYQQnciVB0OZzWbOnTtHcHCw7bySAQMGMG/ePGbMmMH06dOxWq0sWLBAVh0LxeSXp18xY6Wg4qIUlIUQoo31ChlJfJfG85pUKrXCaYRoJAVlB1deU8e36YXEBXjKwVBC/ER1uTlkvbIULJbGcWYG2X94mci3/65wMiGEEJ3Jjx0MdTVTpkxhypQprZxIiOsL8AjnTO63l82oKDHl8u9Dr2PQudC3660EGeVDeiGEaAtSSHZs5Xt2UbjmPTRGLwIfnYchPELpSK2uRQrKze3tJn6a/WkF3L56G2U19WjUKv5850AeGSrbHoVorvq8XDCb7eeyMhVKI4QQQgjRfkT49aa0Ko/TOfvRaQ0EG7txMntv44M18PXJf3LPgGdx0smiFyGEaClncw9yNvcgeq0zvUPHEOAZDkBtQxVWq1Vecx1Qxf5vOHP7LbaFbCX/3kSvY6fRuLkpnKx1Nfsjjrq6Ov7617/yzDPPUFlZyYoVK6irqwNgzZo1Ta6vr6/n6aefZvr06UyePJlt27aRnp7OtGnTmD59Oi+88AKW//3HXrFiBZMnT+bee+/l+PHjTZ5r+/bt3H333UydOpWNGzf+3O+13Vn46feU1dQDYLZYeW7rEWrqzde5SwhxiUuv3jj1sO8v5T1lmkJphBBCCCHaD5VKRd/wRKYP+R33DHgOs6Xe7nGzpZ68slSF0gkhRMdzsegk+87/m8LKTLJLz/FV8t+orqvgQMoWNhxYxgcHlrH37CYsVovSUcVlijb8y1ZMhsaFbWXbvlIwUdto9grlF198EW9vb06ePIlGo+HixYssXLiQ5cuXX/X6LVu2YDQaWb58OaWlpUyaNIkePXowf/58Bg0axJIlS9i2bRvBwcEcPHiQTZs2kZOTw9y5c9m8ebPteerr63nllVf48MMPcXZ2Ztq0aYwePRpfX99f/t07uJzyartxeU09proGnHQahRIJ0b6o1Gq6f/IFOX/8A3XpqXjdORnfafcpHUsIIYQQot3xdg3iQsHRy2ZUeLkGKpZHCCE6moziU3bjBks9J7O/4VTOPtvc+fzDBHt1I9Kvd1vHEz9C5+fXrLmOptkrlJOTk3niiSfQarU4Ozvz2muvcerUqR+9fuzYsTz++OMAWK1WNBoNycnJDBw4EIDhw4ezb98+Dh8+zLBhw1CpVAQHB2M2mykuLrY9T0pKCmFhYXh6eqLX6+nXrx/ffffdz/1+25X7+tn3XBnbIxgfVzmYRYifQh8YRNflbxKz8SMpJgshhBAOrsFsocEsK68cUY+goXT16QWo0GkMDIy8Aw/njr/IRwgh2oqnc9MipMXSdJd6aVVeW8QRzeT/m9/iFPNDe1qvOyfjPnSYgonaRrNXKKtUKurq6lCpVACUlJTYvr4aV9fGvi6VlZXMmzeP+fPn89prr9nucXV1paKigsrKSoxGo919FRUVeHt72+6/vEezq6srlZWV182blJTU3G/NYSV6WakaEMT+nEqijQbui3Xn8OHDSscSQjiIfv36/ex7jx07xuuvv87atWs5deoUL7zwAhqNhvDwcF566SXUajUbN25kw4YNaLVa5syZw6hRo1owvRBCCGHv918c4487TwLw+PAeLB3XR+FE4nJajY4RPaaRXXoOF50H3m5BSkcSQogOpUfQYHLLUsgsOYNapaFXyAgi/HpzMvsbrFz6sFVFiFd3RXMKezp/f3oePEbF3l1ojV649vn5v6e3J80uKM+cOZMHHniAgoICXnrpJb766isee+yxa96Tk5PDo48+yvTp0xk/frxdewyTyYSHhwdubm6YTCa7+csLyNd7/MfEx8djMLT/1bz9+yudQFxLvbmOpMxdFFVmEegZSVyXG1GrpCWJcGyrV69my5YtODs7A4197B999FFGjBjBk08+yc6dO+nVqxdr165l8+bN1NbWMn36dG688Ub0er3C6YUQQnREX5/N4cUvfzhL5eWvkxga7s+42C4KphKXq66r5IukdyitygegW+BAhkbfpXAqcSXTkUOUfrYVp5jueN81GZW22b/yCyEUptXoubnnA5hqy9BqdBi0LgCMir2PE5k7sVgt9OwyDH+PrgonFVdS63R4jrpZ6Rhtqtk/XSZNmkR8fDwHDhzAbDbz9ttv0737j38qUlhYyKxZs1iyZAlDhgwBIC4ujgMHDjBo0CB2797N4MGDCQsLY/ny5Tz44IPk5uZisVhsq5MBoqKiSE9Pp7S0FBcXFw4dOsSDDz74C75lIVrON+c+JK2w8ZefzJLTVNeVMyDyDoVTCXFtYWFhvPXWWzzzzDMAxMbGUlpaitVqxWQyodVqOX78OH369EGv16PX6wkLC+P06dMkJCQonF4IIURHdCijsMnc4cwiKSg7kFPZ39iKyQBncw/SPXAQPm7yd+QoSrZ8xPlf3QNWKwCln28l6u9rFU4lhPipXA2eduMwnzjCfOJ+5GohlNHsgvKZM2dYtWoVb775JikpKSxZsoSlS5cSGRl51etXrVpFeXk5K1euZOXKlQAsXLiQZcuW8cYbbxAZGUliYiIajYb+/fszdepULBYLS5YsAeDjjz+mqqqKqVOn8uyzz/Lggw9itVq5++67CQgIaIFvXYhfxmxpIL3whN1cSsFRKSgLh5eYmEhmZqZtHB4ezosvvshf//pX3N3dGTRoEJ9//nmnbTckHFuZOZOihvOo0OCn7YGbpuMfeCEcyy9pNyR+3Iiopoe7jYiS9/yOxFRX1mSuqrZMCsoOJHfFn2zFZIDiTRsIfek19EHBCqYSQgjRETW7oLx48WJbi4uoqCh++9vfsnDhQt5///2rXr9o0SIWLVrUZH7dunVN5ubOncvcuXPt5saPH2/7evTo0YwePbq5UYVoE2qVGoPOlZr6H4psrnrPa9whhGN66aWXWL9+PTExMaxfv55XX32VYcOGdep2Q8Ix5ZWlcuLEh0DjL8vVDYXcmfAUbk7Ga98ohHB4Q8L9WDl5EMu3J2PFylMje3JTpBSUlVRVV8HxjO2UVxcS5tOTCN/epOQfsT3urHMnyBitYEJxJZVafcWECpVa2vEJIYRoeerrX9Kourqa4cOH28Y33ngj1dXVrRJKiPZApVIzMHK8rWeyTmOgf8Q4hVMJ8dN5enri5uYGgL+/P+Xl5SQkJHD48GFqa2upqKggJSWFbt26XeeZhGhdF4tPcqmYDI07RbJKzygXSAjRoh4e0o3zC+8kZeFdzLlRDhxS2tfJ73E6Zz/Zpef4NuUjyqoLGBP3a7r69KRb4EDGJTyMViNnKziSwAVP2fVM9p35ADrZ3SuEEKIVNHuFsre3N++//z4TJkwA4NNPP8XHx6fVggnRHkT69SbYGEWJKRcftxD0WielIwnxky1btowFCxag1WrR6XQsXboUPz8/ZsyYwfTp07FarSxYsEBWHgvFeTj5NmtOCCHEL1NWVUCxKdtuLrXwGInxszFb6jFoXXF3kt8FHY0x8TZ6HjhK2Zef4RTTDc/E25SOJIQQooNSWa2XNVm6huzsbH7/+99z8OBBdDodAwYMYPHixQQGNu13pqTa2lqSkpJk27UQQrQhee0VbcFsaWDn6fVkFJ9ChYpgYwwDo8bj6Sx9lEXnJa+/ojXUNlSx8eDLmC0NtrkQr+4UmbKprqsAINQ7ljFxv1YqohCKktdeIURn1+wVysHBwbz99tutmUUIIYQQ4kdp1FrGxP2atMIT7D27iazSs/zn8Bv0C0+kV8hIpeMJIUSHYdC60K/rWL5L+xSr1YKL3hMnrautmAyQUXyK/PJ0/D26KphUCCE6pqTM3ZzPP4RB60rfrokEeIYrHUkIO80uKO/Zs4c//elPlJWVcfmi5m3btrVKMCGEEEKIqzmTc4AGS93/RlaOXtxGj8Ah6LSyQkgIIVpKXJdhhPv1prKmGF+3EPan/KfJNXUNNQokE0KIju183mEOpX1qG3918u/cM+BZDFoXBVMJYa/ZBeVly5bx7LPPEhMTg0qlas1MQgghhBA/qqbBZDc2W+qpt9SiQwrKQgjRklz07hi0zhSbcgj3TeB8/hGsVgsA7k4+BBmjFE4ohBAdT1bJWbtxg7mO7OJz5JankluWgo9bCAMibsNZ765QQiF+QkHZy8uLUaNGtWYWIYQQQojrivHvx8HUT2zjLl7dcNF7KJhICCE6pqLKbL4++R7VdRVo1TpuCB1DdX0lTjpXugcORqNu9q+TQgghmsnoGgCFl8+oSC08zsXiZADKqguorisnsddDiuQTAn5CQblfv3688sor3HTTTXZN5wcMGNAqwYQQ4qcq/s9msl9ZiqXKhP/DvyVw7gIATEePUJuejsfI0Wg9PRVOKdqDL89ks+7wBfzdnFgwIo4unrK9zJHEdRmGk96NzOLTGF0CiA0eqnQkIYTokA6lfWrrm9xgqedk9jdMGfi8FJKFEKIVxQUPo6D8Ipklp9Gq9fTpegvHM3bYXZNTlkKDuR6tRqdQStHZNfudwPHjxwE4efKkbU6lUrFmzZqWTyVsjmeX8NWZbOKDvEjsEax0HCEcVs35c6TcPx3MZgAynnsaQ2Q0Fbt2kLfyzwBovLzo8dl2XOJ7KRlVOLgvTmdz+7vbuHRcwEcnMjj5fxPQazXKBhN2Iv1uINLvBqVjCCFEh1ZZU2I3rm2oot5cg0btplAiIYTo+HQaPTf3vJ+a+kq0aj1W4GJRMnnlabZr3J285cM9oahm/+tbu3Zta+YQV7HpWDrT1+7B8r+qxoIRsbw+ob/CqYRwTBV7dtmKyZeUfPJfitb90zY2l5SQ8/qrRP1jfVvHE+3I2kMpXHb2LKnFley+kM/N3YKUCyWaqKk3kVeWiqeLP0YXf6XjCCFEhxTu24sTmTttYz/3UFLyv8egdSHcN0FWxgkhRCuqqClmz9mNlFcX4uUSiKvBiKm2FGe9O0Oj75bzzYSiml1QnjFjxlX/scoK5dbzh+1JtmIywIq9Z3jh1t64O8kbNyXklaXxXepWTLWlRPgl0D/8NtRqDcWmHIoqMgnwjMDD2VfpmJ2Wyw19msw5hUdgVxkEGkqK2yqSaKf83Z2azrk1nRPKyStL46vkv9NgqQOgb9dEEkLlnAchhGhpfbregk5jIKvkLC4GTzKKTlJQsRWA07nfcnvCHFQqtcIphRCi47Farew+8wEVNUUAlFTl0sXYnXG9HsZF74FaLbsnhbKaXVCeO3eu7euGhga2bduGh4ccgNOazBb7QpjVarUrMIu202CuY9upf1LXUA3AyexvcNK5oVHr+O5/B0OpUDO8+71E+CUoGbXTcu3Tj5Clr5D9h5ex1tTgO3MWQU89S+lnn2A69J3tOr+ZsxRMKdqDBcPj+OhEBuklJgAeGBhFQrCXwqnE5Y5e/MpWTAY4lrGN2KCh6LSGa9wlhBDip1KrNCSEjiIhdBTfpnxk99pbWJFBblkqQcYoBRMKIUTHVG+utRWTLyk2ZePmJL+XCMfQ7ILywIED7cZDhw7lnnvu4fHHH2/xUKLR/BGxPPD+Ptv4wUExeDrrFUzUeRWZsm3F5EtySlMorMy0ja1YOHrxKykoKyhowdMEPDYfzGbUTo0rSrt99Bn5q1ZQm56G1513Y7x1nMIphaML9XLl5P9N4G8HzhPl487Y2C5KRxJXqG2oshubLQ3UW+rQIQVlIYRoS1ZksYsQQvxc5dWFZJacwdPZj2BjjF1XAL3WCR/XLhSZsmxz1/sAr95cx6nsfZRV5RHi3YMIv97UN9TyXdqn5JSex8ctmAERd+BqkIPqxS/X7IJydna27Wur1cr58+cpLS1tlVCi0cz+UUT7uPPlmRzig4zc1StM6UidltHFH41ah9lSb5vzdgsirzzV7rp6c92Vt4o2ptbpQPdDWxit0Ujws4sUTCTam/yKahLf3sbxnBLUKhVPjozj1Tv6Kh1LXCYmoD8HLnxsG4d4dcdF765gIiGE6Pi6Bw7mfP4RGv73ftfXLYQgz0iFUwnx4+rr63n++efJysqirq6OOXPmEB0dzbPPPotKpSImJoYXXngBtVrNihUr2LlzJ1qtlueff56EBFkkJFpXdsk5vj75DyzWxnOAugUOYmj0nRRVZnGh4CjOOjeGxNzFkbTPKarMwsXgiau+sYeyq8FIXUMNp3O+xVRbQrhvAkHGKHaeXk9WyRkAUgq+p6a+kmJTDufyDgFQUVNEVW05t/Weo9j3LTqOZheU77vvPtvXKpUKLy8vFi2SIk1rGxrhz9AIOWxIaQatCzd1u4cDKR9TXV9JqHcsN4TeTIO5njO539qu6xE0WMGUAsBqsWAuLUXr7a10FNFOvbHrFMdzGk+1t1itLN+RzP0DougRIJ/kO4rY4BupbagmrfAERpcAhkTfqXQkIUQLeHv/Wf6wPQmrFZ4a2ZPfDuuudCRxGS/XQCb2mU9a4QmctC5E+PWW/snCoW3ZsgWj0cjy5cspLS1l0qRJ9OjRg/nz5zNo0CCWLFnCtm3bCA4O5uDBg2zatImcnBzmzp3L5s2blY4vOrgTmbtsxWSAc7kHCfHqzo7T67BaLQB4uQRya/xsPj76Z0pMOZSYcjibd5AJfR5nx+l1FFZkAHAmG71J5AAAIABJREFU9yA3Rt9lKyZfcjbvEDX1lXZz+RXp1DXUoNfKGTHil2l2QXn79u2tmUMIhxfum0BXn3jMlga0msbWI4OiJuDrHkJRZRaBnpGE+/ZSOGXnVr5zO6mPPEhdZgau/foTtfYDDGFdlY4l2pn0ksqrzJmkoOxALuQf5ejFrwEorcpDo9ZyU7cpCqcSQvwS+9MK+O2HB2zjuf85SK9gIzdFBiiYSlzJ3cmbXiEjmsxbrRYpLguHM3bsWBITE4HGXdYajYbk5GRbO8/hw4fzzTffEBERwbBhw1CpVAQHB2M2mykuLsZbFqiIVmSxNtiNrVhJyT9iKyZD40F8JzJ3UlVXbpurbajiROYuWzH50t2phcfQqLWYLT88r5PWBWedG9V1FbY5N4MXOo20UhW/XLMLysXFxbz44ovs378fs9nM4MGD+d3vfoevr29r5uvUquoaePaTI3x5Jpv4IC9en9CPcG83pWN1aiqV2lZMBlCr1MQE9CcmoL+CqQSAtaGBCw/dT31OY3se0+FDZDz7FFHrN1Kxczu1F9PxvHUs+qBghZMKR3dP73A2Hk23jQPdnRkeJTtFHMnJ7L124wv53zMg4jacdPIzUoj2aldK7lXm8qSg7ODqzXXsO7eZtMITuBg8GBw5gVCfOKVjCQGAq6srAJWVlcybN4/58+fz2muv2frUurq6UlFRQWVlJUaj0e6+ioqKZhWUk5KSWie86PAM5iAgzTb21IRQUVrd5LrCvKImc0UFxU3mTBW1+Kp7kGdp/DepRotzdRhalQGDKo9aazlanPGzJnDkyPct9n2Ijq1fv34/+lizC8pLliyhT58+LFu2DIvFwgcffMDChQt5++23WySkaOr/PjnCym8atyycK6wgrbiSQ0/crnAqIRxTQ1GhrZh8SdWJY6TNmU3hun8CoHZ1pfvWr3DrP/BqTyEEAHclhLHuV8NYc+gCAe5OPDcmHmdds39cijagVmnsJ1QqWRknRDvXP7TpIpX+oT4KJBHQuALum7MfklFyGk9nP4ZG34W/R1dqG6rJLD6NQedCF2MMJzJ3kFp4DABTbSm7zmxgysDnZSu1cBg5OTk8+uijTJ8+nfHjx7N8+XLbYyaTCQ8PD9zc3DCZTHbz7u7NO5shPj4eg0EOBRY/Rz/yy/uQWXwKD2dfIv1uoKK2mE+P/dV2AHWodyzDu09j67EVlFblA40rjMfccA9H0r/gbO5BAPQaJ0Yk3IW3axClVfmUVeUT6BmJQecCwFBGUlVbjpPeten7aCF+pmb/hpyRkcGKFSts44ceeogtW7a0SijR6PPTWXbj77OKyauoJsDdWaFEQjguXUAgznHxVJ/8YZWA64BBtmIygMVkIvdPfyR63QdKRBTtyLS+EUzrG6F0DPEjeoWOZPuptbYtgT2ChmDQuiicSgjxS9zcLYgXbk3gj7tOYrXC/OGxjO3RRelYndbh1M+5WHwSaGwttPP0ehJ7/YbPjq+y9ePs4tUNi8Vid1+DpY6SqlwCPMLbOrIQTRQWFjJr1iyWLFnCkCFDAIiLi+PAgQMMGjSI3bt3M3jwYMLCwli+fDkPPvggubm5WCwWaXch2oS/Rxj+HmG2saezH3f1e4qM4lM4690JNkajUqm5o/djpBclY7Ga6eoTj17rxNDou4j270dlbSldvGJs74WNLv4YXZrurnQxeLTZ9yU6h2YXlFUqFTk5OQQFBQGQnZ2NVisrtlpTz0AjF4p+6OUZ6O6Mj4t8+inEj4n+1yYuPrOAquQkPG9JxO/+2RRvfN/uGkuV6UfuFkK0F6HesUzqs4Cs0rMYXQIINkYrHUkI0QKWJPZm4S29sFpBq5FdB0rKr0i3G1fVlXMiY7vd4U5ZJWeJ9rdv+6bTGPB2DWqTjEJcz6pVqygvL2flypWsXLkSgIULF7Js2TLeeOMNIiMjSUxMRKPR0L9/f6ZOnYrFYmHJkiUKJxedmUHnQnSAfZuB1IJjHM/cgcVqpq6hhp5dhgHg79EVf+TMIKGMZleEH3/8caZOnUrv3r0BOHr0KEuXLm21YAL+OKE/acWVnMgpJcDdib/dO0TeXAtxDU7RMXT79yd2c+7DR1Kxe2fjQKXC/6FH2j6YEKLFebr44enip3QMIUQL06jlva4j8PcIp7QqzzZ20Xuiouk26a4+PVGr1aQWHMfNYGRg5B3oNLIARjiGRYsWsWjRoibz69atazI3d+5c5s6d2xaxhPhJCisz+eb8Ztv4u9RP8HININgYo2AqIX5CQXnYsGFMmTKFNWvWoFKpeOihhxgxoukJv6LlRPm6c/Sp8aQWVRBidEUnxWQhfrKYD7dQuOY9atNT8Zp4F+6DhyodSQghhBDCofULH0ttfRUZxacwuvgxJPpOQEVKwREsVjMAHs5+dPHqRqhPLEOj71I2sBBCdFB5ZalN5nLLLkhBWSiu2QXlF198EZPJxKuvvorVauWjjz7i5ZdfZuHCha2Zr1PLLqviV+v2sPtCPjG+7vzt3qHcGNG0F44Q4sdpXFwIeORRpWMIIVqB1WrBilUOFxFCiBZm0DozKvZXTeZv7/0oFwq+x6B1pVvgANRqef0VQojW5OsW0qw5IdpaswvKR48e5eOPP7aNR40axcSJE1sllGi04L+H2H2h8STPc4UV3Ld+L+efnyRbAYUQQnR6p7L38f3Fr2gw19MtcACDIsejUsnPR+GY6uvref7558nKyqKuro45c+YwZswYAF5++WUiIiKYNm0aAMuWLePIkSO4uroCsHLlStzd3RXLLsTlfNyC8XELVjqGEEJ0GgGeEfTtmsiJzJ1YrRZ6BA8lzKen0rGEaH5BOSAggIyMDEJDQwHIz8/Hz096F7amwxlFduOLJSYKKmsJ9HBWKJEQQgihvBJTLgcubLGNT+fsx8etCzEB/a9xlxDK2bJlC0ajkeXLl1NaWsqkSZPo06cPzzzzDGlpaTz44IO2a5OTk3n33Xfx9vZWMLEy1h66wPIdSVit8OTIntw/MErpSEIIIYTiEkJHER8yAmRnnnAg1y0oz5gxA5VKRUlJCRMmTGDAgAFoNBoOHz5MTIz0bGlNI6MDSD34w0nKsQGeUkwWQgjR6RVWZjaZK6rMlIKycFhjx44lMTERAKvVikajwWQyMXfuXHbv3m27zmKxkJ6ezpIlSygsLGTy5MlMnjxZqdht6lBGEQ9s+AartXH84Af76BHgweCusoBFCCGEUMtOPIdmNZup/HYfGk8jLvG9lI7TJq5bUP6xk04feOCBFg8j7L0+oT819Wa+PJNDryAjb901UOlIQgghhOICPMJRocKK1TYX6BmpYCIhru1S+4rKykrmzZvH/PnzCQ0NJTQ01K6gXFVVxX333ccDDzyA2Wxm5syZxMfH06NHj+v+GUlJSa2Wvy2sSS60FZNtczsOo+slBWVHYrFaMFkK0Kr0OKu9lI4jOpF+/fopHUEIIa6qvrCQM+PGUH0qGQCfe39F5Lv/VDhV67tuQXngQCliKsXorGfdfTcpHUMIIYRwGOmFSZzN+w4/9zBMdWVYLGZ6BA0m3DdB6WhCXFNOTg6PPvoo06dPZ/z48Ve9xtnZmZkzZ+Ls3LgjbfDgwZw+fbpZBeX4+HgMBkOLZm5L+S5Z/OXYdru5cQN60q9nqEKJxJWq6sr57PjbVNQ1tuWL9OvD8O5TFU4lhBBCKCv/nZW2YjJA0Yb1+M1+GPfBQxVM1fpkzbwQQggh2oWskrPsOL2OrJIz5Fek02Cu485+T9I7bIzS0YS4psLCQmbNmsXTTz99zRYWaWlpTJs2DbPZTH19PUeOHKFnz85x8M642C48OTIOg1aNXqNm/vBY7oiTU+wdycnsb6io+eGMlwsF31NYkaFgIiGEEEJ59bm5zZrraJp9KJ8QQgghhJLSCo/bjWsbqsguPUe4b+foUybar1WrVlFeXs7KlStZuXIlAKtXr8bJycnuuqioKCZOnMiUKVPQ6XRMnDixU51Zcmv3YI5lF2O1Nn6tUqmUjiQuU1NX2WSuur7pnBBCCNGZ+Ey5l4J/vAsWCwBaP388x9yicKrWJwVlIYQQQjg8s6UBN0PTfp1XmxPC0SxatIhFixZd9bErzyuZPXs2s2fPbotYDuVUXhm3r95Gg6WxkfKulDwOP3E78UHy/3FHEeXfl/P5R+B//etd9J4EeUYrG0oIIYRQmPuw4XT7aCuF/3wPjaeRwHkL0Li7Kx2r1UlBWQghhBAOq8SUx56zH1BsysbbNRijSwClVXmAihDv7hh0LkpHFEK0gE+SM23FZIAGi5UtyZlSUHYgQcYobo1/kPN5h3HSuRAXfBNajU7pWEII0aEUVGRwKnsfKiA2+EZ83RvbP1msFsCKWqVRNJ+4Os/Rt+A5uuOvSr5cqxaUjx07xuuvv87atWtJTk7mhRdeQK/XExsby8KFC9m7dy+rV68GwGq1cvjwYT755BOioqJsz/GPf/yDTZs24e3tDcDvf/97IiPlJHchhBCiM9h7bhPFpmwAik3ZBHhEMKzbFA6c/4jM4tNkFZ+hf8Tt9OwyTOGkQohfItLXrclclE/HX93T3gQbowk2yqpkIYRoDeXVhXx+4m3MlgYA0oqSmNR3PhcKjpGUuQuL1UJs0FD6R4xTOKkQrVhQXr16NVu2bLGdUr148WIWLVpE3759efPNN/n444+ZOHEiw4cPB+Ddd9+lb9++dsVkgKSkJF577TXi4+NbK6oQogOxms1kvfR7ije+jy4omNBlr+I2aIjSsYQQP4PVaqWoMtNurrAyE02+lnpLXeM1WPk+/Qu6BQ5ApzEoEVMI0QImxYcy9YZwPjiaBsDdCWHcnRCmbCghhBCiDaUVJtmKyQBmSz1JmXs4k/utbS4paxd+HmF09ekch/YKx9VqBeWwsDDeeustnnnmGQDy8vLo27cvAH379mXbtm1MnDgRgNzcXP773/+yefPmJs+TnJzMO++8Q0FBASNHjuThhx9urchCiA4gb9VfyPnDywDUpqVydvIEep9OQ+PqqnAyx3L5DpIFCxZQWFgIQFZWFr179+bNN99kzpw5lJSUoNPpMBgMvPvuuwqnFp2NSqUiwCOCvPJU21ygZyRVtWV21zVY6qlvqJWCshDtmEat5l8zbuLl2/tgtVqJkNXJQgghOhkXfdOfffXmmiZzRZWZUlAWimu1gnJiYiKZmT+sKgoNDeXgwYMMHDiQHTt2UF1dbXvsvffe4/7770ev1zd5nttvv53p06fj5ubGY489xo4dOxg1atR1//ykpKSW+UaEEO2K5T8f2o3NJSV8//56VH36KZSo9fTr9/O+pyt3kLz55psAlJWVMXPmTJ577jkA0tPT2bp1KyqVqmUCC/Ez3NRtCvvO/4eCiosEeIQzNPouLhQc5VDap7ZrgozRuBg8FEwphGgJb+05xWvbk7Fa4elRccwfEad0JCGE6BRKqmoprqojylc+zFNShF9vzucfJrfsAgBBnlH0CBrChYKjdtcFekobWKG8NjuU7+WXX+all17iL3/5C/3797cVjy0WCzt37mTBggVN7rFarfz617/G/X+nI44YMYKTJ082q6AcHx+PwSArlYTobDKH3UTOt/tsY5VOR1SXYCwpZ/EccytaHx8F0zmGK3eQXPLWW29x33334e/vT2FhIeXl5TzyyCOUl5fzm9/8plmvvR3FB9+nsfbwBfzdnHhuTDwxflKsVIqbkxe3xs+ym4sPGY5B50Jm8WmMLgH07HKTQumEEC1lz4U85n90yDZ+csthbujizcjoQAVTCSFEx/eH7Um88Pkx6swWhnT1478PjsLHVWopStCotdza80F2nF5HZvEZSqryKKsu4MbouzmeuROL1UzP4GEEG2OUjipE2xWUd+3axeuvv46XlxdLly619U4+e/YsERERODk5NbmnsrKSO+64g08//RQXFxcOHDjA3Xff3VaRhRDtUNAT/0fVieOUffEZGm9vXHomcP6eSQBoPDzo/tk2XHv3UTilsq7cQQJQVFTE/v37bauT6+vrmTVrFjNnzqSsrIxp06aRkJCAz3UK8h1hd8jOjHKe2fPDf5+tSen8e3w0Tlq1gqlEUyo8iMVSBScKk5UOIzqRn7s7RFzbN6n5Teb2puZLQVkIIVpRWnElCz89isVqBWB/egGv70jmlTv6Kpys8zqT+y0ZxacAqKmvZN+5f3N3/6eJCRygcDIh7LVZQblr167cf//9ODs7M2jQIEaMGAFAamoqoaGhdtd+/PHHVFVVMXXqVBYsWMDMmTPR6/UMGTLEdp8QQlyNxsODbps/pqG0lIaiQk7cEGt7zFxeTs4f/0D0mvcVTOiYPv/8c+644w40Gg0Avr6+3HvvvWi1Wnx8fIiNjSU1NfW6BeWOsDvk9ZO77caF1Q1Uenbhxh7BCiUSQoiOb1BXvyZzA8N8FUgihBCdx7mCclsx+ZKzheUKpREABRUZdmMrFooqswCwWC14OMuOW+EYWrWgHBISwsaNGwEYPXo0o0ePbnLNuHHjGDdunN3c+PHjbV9PmjSJSZMmtWZMIUQHpDUaqcvKhCveIJnLy37kjs5t//79zJkzxzbet28f69atY/Xq1ZhMJs6dO0dkZOfo1RVmbHqAY5iXHOoohBCtaVR0IC/ddgN/2J6MFXhiRCwpRRX8at0eBnf15ZGh3dFpZKeIEEK0pBsj/PF1NVBoqrXNTegZeo07RGsL9Iy065msVmlIyT/KjtPrAAj1jmVkj1+hUbfZ+lAhrkr+BQohOiyXnvG4DRlK5f4feir7z/qNgokc15W7RUaMGMHevXuZMmUKarWaJ554Am9vbwUTtp0nRsbx2eksknPLUKlgwfA4YgM8lY4lhBAdSoPZwnNbv+dfR1IJ9nTmD+P78eyYXjw7phdWq5WnPz7M7744DsCG79M4mVfGXycPVji1EEJ0LC56LV8+cjO//+I4ueXV/KpfBL8eEKV0rE4tJqA/5TVFnMs9hEHnQrhPPMczd9gezyg+RWrBMaIDpAWXUJbKar1i+V47V1tbS1JSUofYdi0cn8Vi5mzeQQorMgkyRhHp1weVSqV0LHEZc0UF+X97m9q0NLwn3YXHyKY7JcQv19Fee5dvT+Kdb88R4ObM8gn9GBLedCu2EEI4gvb6+vvmrpM8teWwbexu0HFxyV14ODUe3O2z6ANKq+tsjxu0akyvTpf3WUIIh9BeX3tF+3Myay8HUz+xm+sdOpo+XW9VKJEQjWSFshC/wP6U/3Aur/FE8vP5h6moKeaGsJsVTiUup3F3J2j+U0rHEO3IewfP8+zW7wG4UFTJbau3kb74hyKHEEKIX27H+Vy7cUVtPYcyiugV5IXVasXX1WBXUPZxMUgxWQghRKcT4h3LobTPsFjNAKhQE+bTU+FUQoA0IhPiZzJbGkjJ/95u7mzuQYXSCCFaymensuzG5TX17E0tUCiNEEJ0TP1C7A8V0mvUvHfwPMG/+5Auv99MiKeLrWeyRq3i1Tv6KhFTCCGEUJSHsw+3xj9IiFcPgo3dGBP3a3zcuigdSwhZoSzEz6VSqdFpDNQ2VNnm9FpnBRMJIVpCfKCRzccv2sZqlYo46aEshBAt6qmRcZzMK+Pfxy/i52Zget8I3tx1yvb4zpQ8Vt0zCF9XJ/qH+BAqh6MKIUSbyCgx8e6Bc9SbLcwaFE20r4fSkTq9QM9IAj07xwHpov2QgrIQP5NapaZP11v5NuW/gBW1SiN9jNoRa0MDDcXF6Pz9lY4iHMyCEXHsTy/kyzPZuOq1LB13A+HebkrHEleora8itzwVo4s/ns7S41qI9sbVoOODmcOpqTej16hZviO5yTX5FTU8NLibAumEEKJzKqysYeCfPiW/sgaAVfvO8v2Td9BV3gsLIa4gBWUhfoEeQYMJMkZRVJlNgEc4rgZZxdgelH72CamPPkxDfh6u/QcQvX4T+i4hSscSDsLdScdnvxlDbnk17gYtrgad0pHEFfLL0/ky+W80mBv7q/YLH0uvkJHKhhJC/CxOOg0A42K7sOizo1j+d164WqXitlj52exoqusquVicjJPWlVDvWNRqjdKRhBA/QVl1Hf/8LoWS6jqm9Y2gm5/96uMPj1+0FZMBymrq+deRVJ67uVdbRxVCODgpKAvxC3k6+8nqOAdWvmcXF59eQN3FNLzunEzoS38g9eEHaSguAsB06DsyFj9H1N/XKpxUOJpAD2lh46i+T//KVkwGOHpxGz0Ch6DTyinrQrRXCcFebL5/BH/ceRKr1cqCkXH0CfFWOpa4THl1IVuPrbS1ewv0jCQx/iE5LFGIdqLebOGmFZ+TnFsGwOs7k9k3bxy9grzYeyGfnIpqNFc5ZcvNIGUjIURT8soghOiwzFVVnJ8+GXNJCQCF//w7KoPBVky+pDrphBLxhIOyWq28si2JNd+lEODuzLLbbuCmyAClY4nL1DSY7MZmSz31llp0SEFZiPZsQnwoE+JDlY4hfsSp7H12Z4fkll0grzxV+noKh3fs2DFef/111q5dS3JyMi+88AJ6vZ7Y2FgWLlyIWq1mzpw5lJSUoNPpMBgMvPvuu0rHbnFfn82xFZMBqurMvLP/HMVVtWz4Pg0AX1c9cQGenMxrvC7G150Z/aOUiCuEcHBSUBZCdFjVJ5NsxWTbXNIJnGK6UXPurG3O4+Zb2jqacGB/O3CexZ8dBeBcYQV3vLud9MV3Y3TWK5xMXBLj34+DqZ/Yxl28uuGilwNjhBCiNZmt5iZzFkvTOSEcyerVq9myZQvOzo07zxYvXsyiRYvo27cvb775Jh9//DETJ04kPT2drVu3dugV9/qrLD8ur6m3FZMBCk11TIwPY+m4G6i3WLkjrgvOOikbCSGausqGBiGEaJ/MVVXkrXyL9KfmU75rB8494tB42BeZ3AYOIvqD/+CZOA5DeAT+c+YSsmSpQomFI/ryTLbduLK2gX1pBQqlEVcT12UYw7vfS6TfDfTtmsjIHr9SOpIQQnR43QMHolH/UFjycgkk0Cirk4VjCwsL46233rKN8/Ly6Nu3LwB9+/bl8OHDFBYWUl5eziOPPMK0adPYsWOHUnFb1ajoQP5/e3ceHmV1v3/8PTOZ7HsgkEACJAQChABJJCDIphIUkUVkKyCCtVpFkSqVVatg6w8q7RdFK9Si1rogakHckaWKssqSALIHEsJO9n1mfn+gI2GRiJBnJrlf19Xr6jnzzMMdNR+Sz3PmnK7NfjqQPMzXiz7xkRdcV1BWwYC20dzZromaySJySaoOIlJr7B06kPyVKwA4/tLzxL72FjGL3iBzwnjKsw8T0n8QkY9Px+LvT4slywxOK66qXWQIS7Ydco7NJhMJDYMNTCTnczgcVNrKz/7PXo7dYTc6kohIrRfm34h+7R/iwIkteFn9aB6ejNmkQ/nEtaWlpZGVleUcR0VFsX79ejp27MjKlSspKSmhoqKCsWPHMnr0aPLy8hg+fDiJiYmEhYVd9v7p6enXMv5V92zHMFY38qSg3EaPxgEE2k4RE+TF/rwyAMwm6BbqYNOmTQYnFRFXkJycfMnX1FAWkVqhdN9eZzP5R8cXvkTY8JFUnjkFNhvlWYewFxVh8fc3KKW4gwndWrHh8Ck+3JFFgKeVEcnNOJJfTHSIn9HR5AcZ2WvYePBjAA6d3sGJ/EOktf2twalERGq/YN9wOjTpbXQMkSv2zDPPMGvWLF544QVSUlLw9PSkXr16DBs2DA8PD8LCwmjVqhUHDhyoVkM5ISEBLy/3OsOh03njb1u35cW135OTX8LwDs3oGhN+0feJiJxLW16ISK1g9vEBc9WSZvL0IvORB7EXFABQtH4dR/4y04h44kb8vKx8MLYn2x7tR7CvlZfW7qbL/33CkFdXGx1NfrDv+HdVxjl5+yguyzcojYiIiLiL1atXM2fOHF599VVyc3Pp0qULa9eu5eGHHwagqKiIPXv2EBNTd7ZzCfPzYtrNibxwR6qaySJSbWooi0it4BnZiPB77nOOzb6+hA4ajKO0tMp1JTszajqauKl/b9rPoTM/nWa/ZNshvtFeyi7BxzOgytjDbMXq4V6rg0RERKTmNWnShDFjxjBs2DD8/f3p3r073bt3p2nTpgwZMoRx48YxceJEQkNDjY5aY2x2Ox/uyGLBt3s4VlBidBwRcRPa8kJEao0mz/0foXcOpWz/PoJu6o0lNIzsmU9ScSTbeU3QLX2NCyguqdJmZ+3BE0QE+hBX/6dDHE8WlV1w7cmi0gvmpOYlNenNycIsyitLMGEmqWkfrBY1lEVERORCjRs35p133gGgV69e9OrV64Jrpk6dWtOxXMbAf61i+Y6zvy9NWmblfw+mkRARYnAqEXF1aiiLSK0S0LkLAZ27OMct3l9O1pNTKT94kJBBg2n44AQD04mrycototf8z9l36uy2KBO6teKv/VMAGJ0Sy6IN+7DZHQBEBftyU4sIw7LKT+oFRHHndY9zIv8QgT718ffWoYkiIiIiv9Smw6eczWSA/NIK/r5mFwuGdjYwlYi4AzWURaRW822TQIvF/zU6hrio2SsznM1kgL+t2cm41Ob8c91eXtu4j0Y/rFpu3yiUh26Ix8eqvzZdhdXiRWRInNExROQK2ex2ZnyylTc27Scy0Je/3JZEt9gGRscSEalTSittF8yVVFQakERE3I1+MxYRkTrrSP6F+8S9tPZ7Xvh6NwCni8s5XljGGyNvoL6/d03Hkx8cPr2LDQc+pLgsn5jwDqTG9MNi1o8wIu5s/tff85cV6QAczi2m/ysryZw+iEBvT4OTiYjUHZ2b1CclKoyNh08BYLWYue/6lgankmN5B6m0lxMRFIvZbDE6jshF6bcxERGps0YkNeO9bYec46ahfmSf12QurbSx/tBJ+rZuXNPxBCirKGb1rjeotFcAsPvoOgK8Q2jbuIexwUTkV/li99Eq4/zSCjYcOkVS47MHYYX4al90EZFr4dCiDAw2AAAgAElEQVSZIrblnKFzk/qE+XnxxX038+qGfeQUlDCkfRPaRYZSVmnj453ZeHpY6N0iAg+L2ejYdYLDYeeLHYvIPnN2cUuQT31uSbwPb6ufwclELqSGsoiI1FkD20az+K7uvLF5PxEBPjzWsw3vbs3kg+2HnddYLWZng0Nq3qmiI85m8o+O5R0kKvQ42Wd2E+wbTmRwHCaTyaCEInIlOjQK5cMdWc6x1WLmjU37uXXBChzAuNTmvDAoFbNZ39siIlfLwm/38Psl67DZHfh6WnhvTA9ubhnJgzfEO6/JLSmny/99zK7j+QB0jA5j5e/T8LZqpey1lp27x9lMBsgrOcHuoxuoHxBFRvYa7A47rSO70Dg0/mfuIlIz1FAWEZE6bVBiNIMSo53j8TfEs+NYHm9sPkB9Py/+X79kIgJ9DUxYt4X6RWAxe2Cz/7Sfn5eHD//d/Dcc2AFoFXE9qbG3GxVRRK7Aoz1bsy3nDEszDhPq48XIlBj+vman8/WXv9lD75aRDGwb/TN3ERGR6qq02Zm8fLPzwOnichtTP/qOm1pEsGLPUXLyS+jbuhH/3rjf2UwGWH/oFB+kH2JYh2ZGRa8zyiqKL5grKD3JlkOfY3ec3e86J3cft7V/gDD/RjUdT6QKNZRFRETO4elh4Z/DrmfBkM5aGecCvK1+dG85nPX7l1Ncnk9M/XbkFZ9wNpMBdh39lvbRN+FlVeNfxF34e1l57+4eFJZV4O1h4a+rdlxwzY6juWooi4hcJeU2O7klVT/1dbywlDtfXcP7289uARfi48lvki9sHOeVVlwwJ1df49B4vK3+lFYUAmA2WfC0+DibyQAO7Bw6laGGshhOG+GIiIhchJrJriM6rA2Dr5vE6C4z6drizirNZAAcDhw4jAknUg0VFRU89thjjBgxgsGDB7NixQrna8888wxvvvmmc/zOO+8waNAghgwZwsqVK42IW6P8vax4WMykxUdiPmfrGpMJ0uL1y7KIyNXi6+nB4HZVH9KltYx0NpMBzpSUc7ywFH+vn9Ye1vf34g493KsRXh4+9G13P60ju9CiQUduSbyPhsExF1wX4B1mQDqRqrRCWURE5Bx5JeWcKCqleb1A59zqfcfYeOgk3WIbcF10PQPTCUDrRl1Z8/3b8EMTOSa8gw4rEZe2dOlSgoODmT17Nrm5uQwYMIAOHTowadIkDh48yLhx4wA4ceIEr7/+OkuWLKGsrIwRI0bQpUsXPD09Df4Krr32jUJ5c9QN/HVVBnYHTOzempQo/cIsInI1/WtYF9pHhrI5+zQ3xjUkPjyIhev2VrnGbDKx7uFbWbhuD54WM/d2bkE9f2+DEtc9Ad5hdIzp5xw7HHZi63dg34nvAIgKbU2z+u2MiifipIayiIjID+b9byePf/gdpZU2UqLCWDauJwvX7WX6x1uc17x0Zyd+2ynOwJQSU789/l4hZJ3ZRbBvA5rWSzQ6ksjP6tOnD2lpaQA4HA4sFgtFRUWMHz+eNWvWOK/btm0bHTp0wNPTE09PT6Kjo9m1axeJiXXjv/HB7ZowuF0To2OIiNRa3lYLf7wxwTm22x20jwxhy5EzAFjMJu7t3IL4BkHMuT3FqJhyDpPJzA0th9KhSW/sDjuBPnrYKq5BDWURqfWKvttE2cGDBPa8EY/gYKPjiIvKyS/m0aWbqPzhoJKNh08x64vtvLphf5Xrnl2RroayCwgPbEJ4oBpP4h78/M6uoC8sLOShhx5iwoQJREVFERUVVaWhXFhYSEBAQJX3FRYWVuvPSE9Pv7qhRURcSHJystERaiWz2cSK3/dm4bd7yMkvYViHpvo0novy9w4xOoJIFWooi0itlvnoBI6/9DwAlpAQ4j9egW9C3VjpJb/MvpOFzmbyj3afyMfmqLpfb6X9vP17RUSqIScnhwceeIARI0bQr1+/i17j7+9PUVGRc1xUVFSlwfxzEhIS8PLyuipZRS7ldOER9p3YgpeHLy0bdtRhqCK1QLCPJ4/2bGN0DBFxMzqUz8XtOpbHC1/tYvW+Y0ZHEXE7ZYcPcfwfLzjHtjNnyJnzrIGJxJVdFx1GRKBPlbn+CdE8dEOrKnMTu7euyVgiUgucPHmSsWPH8thjjzF48OBLXpeYmMimTZsoKyujoKCAffv20aJFixpMKnJpJwsO8+HWF8jIXsPmzE/4aNuL2O02o2OJiIiIAbRC2YV9sP0QQ15bg+2HFXN/7NWGZ/omGZxKxH3Y8nLBUXXFaeWZ0walEVfn5WHh09/dxBOfbGXHsVyCvD05fKaQ8Te0olOTemw8fIrusQ3oFRdhdFQRcTMvvfQS+fn5zJ8/n/nz5wOwYMECvL2rHnJUv359Ro0axYgRI3A4HDzyyCN1ftVxXkk5RwtKaBkeZHSUOm/30Q3YHT81kPNKTpCTt49GIXroISIiUteYHI7zui1urqysjPT09Frxsb/Uv33ExsOnnGMvDzPHnxqCv5fVwFQi7mVHz+sp2rDeOY59/W1CB95hYKLaqTbV3hW7c+jz8grsP/z1GFcvgO2Tbsdq0Yd6RMT1uGv9Lau08cq6vWQczeXW1o25tVWjC6558evveXTpJkorbSRGhPDhb3vRKEhbLBhl/f5l7DjydZW5W9reR4OgpsYEEjGQu9ZeEZGr5Zr+drx161ZGjRoFQEZGBoMHD2bEiBE8/fTT2H/Yg/L+++9n2LBhjBo1invuueeCe3z55ZfccccdDB06lHfeeedaxnU5ZZVVP0JWaXdcsL+niPy8Fu9/RKMZT1HvrrG0+GC5mslyWYs27HM2kwH2nCxgjbYdEhG5qka+8RUPvreeF9fupt/CL1n47Z4qr58sLGXifzdS+sPPw9tyzvD0Z9uMiCo/aBV5Pd5WP+c4MriFDkcVERGpo67ZlhcLFixg6dKl+Pic3Y9y+vTpTJs2jaSkJObOncuyZcvo378/mZmZLF++HJPJdME9Kioq+POf/8y7776Lj48Pw4cPp1evXtSrVzdOHR1/Qzz3vvOtczw6JYZgH08DE4m4H4/gYCInTTE6hsvZunUrc+bM4fXXX+eRRx7h5MmTAGRnZ9OuXTvmzp3L888/z6pVq/Dw8GDKlCkkJtaNwwxDfS+ss6G+WnkiInK1HC8o4f3th6rMvbR2N8M7NOX99MM4HNA01I9yW9VDUPecyK/JmHKeAO8wBiY/StbpnXh5+BEZEnfR3+FExLXtO1lAuc1OqwbaSkhErtw1ayhHR0czb948Jk2aBMCxY8dISjq7/29SUhIrVqygS5cu5Ofnc99995Gfn8+9995Lz549nffYt28f0dHRBAWdLXTJycls2LCBW2655VrFdinjUuOICQvg011HSIgIZniHpkZHEpFa4PwHfnPnzgUgLy+P0aNHM3nyZDIyMli/fj2LFy8mJyeH8ePHs2TJEiNj15hHurfmvW2HOJJfAsDwDk3JLS3nlXV7uaVVJBGB+ri1iMiv4eVhwWo2V2kY+1gtpMz9iN0/NI1jw/yJDvbjUG6R85r+CVE1nlWq8vLwITZcZ7qIuCO73cFdb37NfzYfAOCmFhH8d2xPrBYTn+w6Qk5+Cbe3aUx4gM9l7iQicg0bymlpaWRlZTnHUVFRrF+/no4dO7Jy5UpKSkqoqKhg7NixjB49mry8PIYPH05iYiJhYWEAFBYWEhAQ4LyHn58fhYWF1frz09PTr+4XZJBA4M4IgDNs+e6MwWlExJUkJydf0fvOf+D3o3nz5jFy5EjCw8P55JNP6Nq1KyaTicjISGw2G6dPnyY0NPRqRHcpdruDP6/YzpvfHSQy0Idn+ibx/eQBfLE7hwYB3iz8di83vfg5AH6eHnxx/810jK4bn5QREbkWgnw8ebRna5754uzP614eZq6LCuPv/9vlvGbfqUKm39yWXcfzyTxTyODEJoy/Id6oyCIibu/T7484m8kAX+zO4fVN+/kwI4sPd5zt3UxaZmXNg2kkRIQYFVNE3MQ1ayif75lnnmHWrFm88MILpKSk4OnpSb169Rg2bBgeHh6EhYXRqlUrDhw44Gwo+/v7U1T006qEoqKiKg3mn6PN8UVELu78B34Ap06d4ptvvmHy5MnA2Qd6wcHBztf9/PwoKCi4bEPZHR/mLd59mtkbjwKw81gevV/8lGX942jkYebIqXJeWb/XeW1ReSVT3vuKZ2/QKjmRuupKH+ZJVU/f0oH+CdFkHM3lphYRvL/t0AXXBPt48tbobgakExGpfQ6evnBx3rcHTzibyQB5pRX8fc0uFgztXJPRRMQN1VhDefXq1cyZM4eQkBCefvppunXrxtq1a/n3v//NggULKCoqYs+ePcTExDjfExsbS2ZmJrm5ufj6+rJx40bGjRtXU5FFLsvhcJB5Kp2ThVlEBMXSKKSF0ZFErsgnn3zCbbfdhsViAa78gZ47Psx78rsvq4zzymxUhEXRpXlDfI/lwdK9VV63+gaooSQichWkRIWREnV2IcmQ9k14ZsV2jhWUAlDf34thHZpRXmmjoKySMD/3+rtFRMTV9G3dmMeWbaKk4uxhpxazieub1mfRhn1VriupqDQinoi4mRprKDdp0oQxY8bg4+NDamoq3bt3B+Crr75iyJAhmM1mJk6cSGhoKMuWLaO4uJihQ4fy+OOPM27cOBwOB3fccQcNGjSoqcgil7XxwHIyjnwFQHrWaq5rdhttGnU1OJXIL/fNN99w//33O8dJSUnMnj2bcePGcfToUex2e63c7gKgTcNgPtqZ7Rx7mE2s2nuMCR9sINzfm6TGoWzOOg2AyQT3X68HRyIiV1t4gA8bH+nLqxv24QDuui6WFXtymPDBBk4Xl9OreUPevqubDkkVEblC0SF+fH7fzfx11Q7KKm080LUlvVtE8vK3e9h4+BQAVouZ+65vaXBSEXEHJofD4TA6xNVUVlZGenq6W66SE/dit9t449snsNl/eoLr5xXMndc9bmAqkerJyspi4sSJvPPOOwD07duXN998k8DAQOc18+bNY82aNdjtdiZPnkxKSsol7+fOtTe3pJw7F63my71HCfCyMiAhitc37Xe+HuDlwbSb25KTX8qgxGi6NAs3MK2ISFXuXH9/zuniMqKfWuJcSQfw0A3xzB1wnYGpRETOqk21t6C0gkUb9pKTX8KQ9k1p36h2LiIRkaurxlYoi9Q6JjCbLNj4qaFsMelbStxD48aNnc1kgOXLl19wzfjx4xk/fnxNxjJEsI8nn99/M8cKSgj0tjLmzbVVXi8oq6R1wxAe7dnIoIRSWlFEbvExwvwbYbW49y9tInJWQWkFn+0+QmSgL52b1gfAZrezYs9RHI6zD/PObSYDbM/RAdUiIldbgLeV8Te0MjqGiLgZdb9c0IFTBXyx5ygJDYOdP2CL6zGbLLRt3IPNmZ/+MGMiMaqnoZlE5Mo1CPABoHWDoCrzZpOJVuGBF3uL1ID9J7bw1e53sTsq8bR4c2Pruwj1j2TdvqVknfmeYN9wUmNuJ8SvodFRRaSa9pzIp9vzn3K88Ox+yaNTYpg/OJWeL3zGhh8+dt2+UQjh/t7OawB6t4w0JK+IiIiIVKWGsov5eGc2A/+1igqbHYCpN7XlqVvaG5xKLiUxqicNg2I4WZhFw6AYQv0ijI4kIr/SxO6t+ebgCT7fnYOvp4WZt3SgWdjlDySUq8/usLN+/zLsjrOfBCm3lbLh4EfU82/E3uObADiaV8iXO19nUPKjmEwmI+OKSDXNWZVRpVH82sb9xNULdDaTAbZkn2HqTW35NvMEB08XcWf7Jkzs3tqIuCIitdquY3nM/HwbRwtK+E1yDHd3bG50JBFxA2oou5hZn293NpPh7A/cj/VsQ4C31cBU8nPCA5sQHtjE6BgicpUEeFv55Hc3cTS/hAAvD/y8VH+NYrNXUlpRXGWuuCyPnMrSKnMFpacoKsvF3zukJuOJyBXKLam4YO5oQckFc4HeVj677+aaiCQiUieVVFRy44ufO2vwyr3H8PawMDypmcHJRMTVmY0OIFUVlVdWGVfYHFTY7Ze4WkREfq1lGYfp/dLn9F2wglV7jzrnGwb6qJlsMKvFk6jQqnv6NavfnjD/qvtZ+1gD8PXUtiQi7mJsx+ac+4GCNg2DeLRnawLPWUAR4GVlSPumNR9ORGqdrVu3MmrUKAAyMjIYPHgwI0aM4Omnn8b+w+/azz//PIMHD2bYsGFs27bNyLg16usDJy54oLdk2yGD0oiIO9EKZRfz+64tuW/xt87xjXEN+b81u0iICGZQ22jMZn2cV0Tkatlw6CSD/rUau8MBwMq9R0mfdDsxYQGUVdqwms2quwbr1mIo27NWcbIwm8jg5rRu1IXSiiKKyvI4ln8Af68QusTdgdlsMTqqiFRTWnwkX9x3M29+d4DIQF8e6NKSev7efPvwLby0djcO4HedWxAd4md0VBFxcwsWLGDp0qX4+Jw9K2P69OlMmzaNpKQk5s6dy7Jly2jevDnr169n8eLF5OTkMH78eJYsWWJw8prRLNQfkwl++FHYOScicjlqKLuY33aKIzrYj092ZZNfVsGi9fv4fHcOcPYH6/mDUw1OKCJSeyzNOOxsJgOUVdr57/bDbM4+zdtbDhLm68Wz/ZIYnRJrYMq6zerhRVLTtCpzvp6B3JL4Oyps5XiYrdo7WcQN9WjekB7Nqx6m2TI8iLkDrjMokYjURtHR0cybN49JkyYBcOzYMZKSkgBISkpixYoV5OXl0bVrV0wmE5GRkdhsNk6fPk1oaKiR0WtEbL0Apt+cyKwvtmOzO2gXGcJjPbVfvYhcnhrKLigtPpK0+EiS/vphlfl/rtvDn/t2IMjH06BkcjEVtnLyS04Q7NsAi1nfUiLuJOYih+2lHz3DfzYfAOB4YSm/ffsbboyLoFGQb03Hk8uwWvT3oYiIiFxaWloaWVlZznFUVBTr16+nY8eOrFy5kpKSEgoLCwkODnZe4+fnR0FBQbUayunp6dckd026rR506h9HblklsUFeHN69g8NGhxIRl5CcnHzJ19T9cmGW8z5mbTaZMGsVlks5fHona75/iwpbGd5Wf25sPZr6AdFGxxKRavpNUjP+m36YZRlZmEwwOiWW/NLyKtdU2h1syT6thrKIiIiIm3vmmWeYNWsWL7zwAikpKXh6euLv709RUZHzmqKiIgICLlx0cDEJCQl4eXldq7giIi5Lh/K5sEm9Eqo0kB/o2pIAbx0Q5SocDgff7P2AClsZAKUVhazf/+Fl3iUirsTTw8IHY3uyZ8oADkwdxCvDrqdn84gq1/hYLXRqUt+ghCIiIiJytaxevZo5c+bw6quvkpubS5cuXUhKSuKrr77Cbrdz5MgR7HZ7ndjuQkTk19AKZRd2Z7smtKwfyBe7c0iICKZ3y0ijI8k5bI5Kisvzq8wVlJ4yKI2I/Brnbn3xu+vjOJxbxGsb99MgwJs/900izE8rT0RERETcXZMmTRgzZgw+Pj6kpqbSvXt3AFJSUhg6dCh2u50ZM2YYnFJExPWZHI5zz/N0f2VlZaSnp9eKj544HA7+8c0ePt2VTduIEB7r2UYrlF3MFxmLyDqzyzlu2TCVzs0HGphIxBi1qfaKiLgT1V8RkZqn2isidZ1WKLuwZ77YzoxPtgKwNCOLTVmnWP7bGw1OJee6oeVQtmR+zqnCbBoGx5AY1cvoSCIiIiIiIiIiIteMGsou7N+bDlQZf7LrCKeKyvTRaxfi5eFDauztRscQERERERERERGpETqUz4VFBPpUGQd6W/Hz1DMAERERERERERERMYYayi5s1q0dCPphz2SL2cSf+ybhbbUYnEpERERERERERETqKi13dWGdm9Ync/odfJt5glYNgmgc7Gd0JLmIU4XZnCrMpkFgM4J86xsdp86rPHWKE/9ehD0/n7DhI/FuHmd0JBEREfkZp4vLWLR+H/mlFfwmuRlx9QONjiQiIiIiP0MNZRcX4G3l5paRRseQS0jPWsPGgx8BYMLEDS2HEVO/ncGp6i57SQk7enWhbN9eAI4+/zdar/4Wn/hWBicTERGRiymtsHH93z9mz8kCAJ5bvYN1E26lVYMgg5OJiIiIyKVoywuRK2R32Nh6+Evn2IGDrYe+MDCR5H72ibOZDGAvKuLEa68YmEhERER+zse7sp3NZICi8kr+uW6PgYlERERE5HLUUBa5Qg6HA5u9ospcpb3coDQCYPb2unDSZufw9MfZO3o4p99fUvOhRERE5JK8PC48H+RicyIiIiLiOtRQFrlCFrMHLRp2rDIXH3G9QWkEIOjG3vh1THWOPcIbkPvFZxydO4cz7y1m36ihnHzrDQMTioiIyLl6t4igU5N6znF9Py+GtGtiYCIREamuzNOFzPp8G3NWZnCisNToOCJSg7SHssivkBrTj/oBUZwsyCIiOJbosDZGR6rTTB4exH+yktzly7AV5OMdE8uuPr2qXHPqjdeoN+w3BiUUERGRc3lYzKz8fW/+m36YF7/ezf8OHOO6v33E3R1jefGOTpjNJqMjioi4ra/2H2f70TPcFBfxiw48PVZQwsq9R2ndIJjEyBAAckvKWZaRRbCPlVviG5GdV0zyc8s5U3L2U7rzv/6eLY/eRqC35zX5WkTEtaihLPIrmExmYsOTiA1PMjqK/MDs6UnowDsAKD+SDWYz2O3O160NGhoVTdzIhzuyeH3jfhr4e/OHHq1pEupvdCQRkVrL08OCt9XC6v3Hzk44HCz8di994hsxsG20seFERNzUtI++488r0gHwMJt4d0x3+rWJuuz7Vu87Rt8FKyipsAHwZFo77roulk5//4hjBWdXIfeIbUD32AbOZjJA5pki3t9+mLuui70GX42IuBpteSEitZZnZCMiJj7mHHuENyDisckGJhJ38NHObPr/cyXvbs3kha+/p8f8zyirtBkdS0SkVttxNO8ic7kGJBERcX+FZRU8t3qHc1xpd/DMF9sBOHi6kMzThZd879OfbXU2kwH+vGI7f1uzw9lMBli17xiHc4sveK+nRS0mkbpCK5RFpFZr/OQsgvsNoHjbNsKGDsfi62t0JHFxb2zaX2V86EwRa/Yd4+aWkQYlEhF3V1FRwZQpU8jOzqa8vJz777+f5s2b8/jjj2MymYiLi+OJJ57AbDZz//33c+bMGaxWK15eXixcuNDo+DUiLT6SaR9vwe5wAGAyQZ/4RganEhFxT5V2BxU2R5W54nIbw15bw+KtmQAMbd+U13/Thc1Zp5n28RaO5pcwMjmG3JKqB82XVdrJL616GD1A15hwPvv+CFl5ZxvLbSOCGdD28iugRaR2UENZRGq1Y/+Yz+Gpk3CUlnL8pedp8f6HeEbqF1S5tIYBPhfOBV44JyJSXUuXLiU4OJjZs2eTm5vLgAEDiI+PZ8KECaSmpjJjxgxWrFjBzTffTGZmJsuXL8dkqlt7B7dvFMrbo7vx11UZ2B0OJvZoQ3JUmNGxRETcUrCPJyOTm/Haxp8WSnRuUp8F6/Y4x29vOUjf1o14+P0Nzq0rHl++mRFJTfku+4zzun5tGjP+hnje3HyQ0h8+tde8XgDDOjSlf0IU7207hJeHmUGJ0fhY1WISqSv03S4itVbFiRMcnvwojvKzPyCVZGznyJ9n0nTeiwYnE1c2sUdrlmVkse9UAQC/69yCthEhBqcSEXfWp08f0tLSAHA4HFgsFjIyMujYsSMA3bp14+uvv6ZDhw7k5+dz3333kZ+fz7333kvPnj2NjF6jBiVGMyhReyaLiFwNC4Z0pkfzhqTn5JIWH8mGQycvuGbV3qNV9kEGKCq3sWRMd5bvyKZNwyB+d30LfKwerH/kVl7fuJ8QH0/GpTbHy8OCl4eFsanNa+pLEhEXooayyK9QVJbH+v0fcqowi4ZBMVwXcxteHlrJ6CrKsw45m8k/Kt2726A04i4aBfmS8cfb+frAccL9vWndMNjoSCLi5vz8/AAoLCzkoYceYsKECTz77LPOVch+fn4UFBRQUVHB2LFjGT16NHl5eQwfPpzExETCwi6/Ujc9Pf2afg0iIkZKTk42OoLb8bCYqxyQ1zDAmyc/3Uql/exWGB5mE8M6NGPRhv3O7YYA2jQMYkDbaAacdyhqm4bB/OU2HUYvImepoSzyK6z5/k2O5R8EYO/xTdgdNrq1HGZsKHHybdsOzyZNKc886JwL6TfAuEDiNqwWMz2aNzQ6hojUIjk5OTzwwAOMGDGCfv36MXv2bOdrRUVFBAYGUq9ePYYNG4aHhwdhYWG0atWKAwcOVKuhnJCQgJeX17X8EkRExI0lRISwdFwv5q7egclkYmL3VtzYIoK5/VOY8tF3FJVXcmNcQx7t0cboqCLiBtRQFrlClbYKZzP5R9lntPrVlZg8PGj534/JnvkkZZkHCB10J+H3P2h0LBERqWNOnjzJ2LFjmTFjBp07dwagdevWrFu3jtTUVNasWUOnTp1Yu3Yt//73v1mwYAFFRUXs2bOHmJgYg9OLiEhtkRYfSVp81YOmH7whnrs7xpJfVkFEoA4wF5HqUUNZ5Ap5WKwEetcjv/SnvahC/LSi0dV4N48jdtEbRscQEZE67KWXXiI/P5/58+czf/58AKZOncrMmTN57rnniImJIS0tDYvFwldffcWQIUMwm81MnDiR0NBQg9OLiEht5+dlxc/LanQMEXEjJofjnM1yrrKtW7cyZ84cXn/9dTIyMnjiiSfw9PSkVatWTJ06FbPZzLPPPsvmzZuprKxk6NChDBkypMo9Pv/8c5599lkiIiIAGD9+vPMAk4spKysjPT1dH/uTGnE8P5PV379JUVkuwb7h9IgfSbBvuNGxRGqcaq+IiDFUf0VEap5qr4jUdddshfKCBQtYunQpPj5nDyibPn0606ZNIykpiblz57Js2TIaNGjAoUOHePvttykvL6dv376kpaURFBTkvE96ejqPPfaY82RsEVcSHtiEwSmTKK0owsczwOg4ItV27gO/U6dOMW3aNPVm6DIAABR7SURBVPLz87HZbPy///f/iI6OZubMmWzevNl5mNT8+fMJCKg7/50fySsmwMtKgLdWa4iIiIiIiIj86Jo1lKOjo5k3bx6TJk0C4NixYyQlnT0RNCkpiRUrVjB16lRatWrlfI/NZsPDo2qkjIwMdu7cyauvvkpiYiKPPvroBdeIGMlkMquZLG7l/Ad+s2fPpl+/ftx66618++237N+/n+joaDIyMli4cGGd+7h1fmk5gxetZsWeo/hYLTzVpz0Te7Q2OpaIiIiIiIiIS7hmndm0tDSysrKc46ioKNavX0/Hjh1ZuXIlJSUleHl54eXlRUVFBY8//jhDhw51roT7UZcuXbjpppto3LgxTzzxBG+99RYjR4687J+fnp5+1b8mkfPZHBUcr9xJif0M/ub61POIx2wyGx1L6ojk5OQret/5D/w2b95My5YtGTNmDI0aNWLq1KnY7XYyMzOZMWMGJ0+eZPDgwQwePPhqxndZz63ayYo9RwEoqbAx6cNNDGwbRbMwPTgSERERERERqbGlvs888wyzZs3ihRdeICUlBU9PTwDy8vJ46KGH6NixI7/73e8ueN8dd9xBYGAgADfeeCOffvpptf487WUkNeHLHa9x8vT3ABTZjxNSP5DrYvsbnErk553/wC87O5vAwEAWLVrE888/z4IFCxg3bhwjR47k7rvvxmazMXr0aBISEoiPj//Ze9eGh3lrv8+qMnY44MO1m7g+Ug1lEbnyh3kiIiIiIrVFjTWUV69ezZw5cwgJCeHpp5+mW7dulJaWMmbMGO6++25uv/32C97jcDi4/fbbeeutt2jYsCHffPMNbdq0qanIIj+r0l7BodM7q8wdPLmdTmooi5sJDg6mV69eAPTq1Yu5c+fi4+PD6NGjndtidOrUiV27dl22oVwbHub9xh7MikNrneMgbytjbu6ivZRFRERExO0dOFXA9I+3sO9UAQMSonmsZxvMZpPRsUTEzdRYQ7lJkyaMGTMGHx8fUlNT6d69O4sWLeLw4cMsXryYxYsXA2dXMmdlZbFp0yYefPBBZs6cyYMPPoi3tzexsbEMGTKkpiKL/CyLyYKvZwDF5fnOOX+vYAMTiVyZ5ORkVq9ezYABA9iwYQPNmzfn4MGDTJgwgQ8++AC73c7mzZsZOHCg0VFrxF3XxXKmuIzXNu4n3N+bp25pr2ayiIiIiLg9u93BrQu+ZPeJs7/Drj90CpMJJvVKMDiZiLgbk8PhcBgd4moqKysjPT29VqySE9eXeTKd/+1+m0p7BV4evvRqNZoGQU2NjiVyWVlZWUycOJF33nmH7Oxspk2bRklJCf7+/vz1r38lKCiIhQsX8vHHH2O1Wunfvz/Dhw+/5P1Ue0VEjKH6KyJS89y19mYczSVx9rIqc52a1OPrh24xKJGIuCs1lF3cfzYf4LPvj9C2YTC/79oSH2uNLSqXaiqrLCGv+DihfhF4WDyNjiNiiNpWe0VE3IXqr4jIz9u6dStz5szh9ddfZ+fOnTzxxBNYLBaaNm3KrFmzMJvNzJw5k82bN+Pn5wfA/PnzCQi49PkZ7lp780rKafSndympsDnnBidG07x+IDn5JfwmqRk3togwMKGIuAt1J13Yc6t28NiyTc7xN5kneXdMdwMTycV4efgQHtjE6BgiIiIiIiJyjgULFrB06VLnuSDPP/88DzzwAN27d+cPf/gDq1atolevXmRkZLBw4UJCQ0MNTnxtBfl48veB1zHhgw0Ul9uIDw9kc9Zp3t12CIDXNu7jw3t60Se+kcFJRcTVmY0OIJf2yvq9VcYfpB/idHGZQWlERERERERE3Ed0dDTz5s1zjlu1akVubi4Oh4OioiI8PDyw2+1kZmYyY8YMhg0bxrvvvmtg4mtvXGoc2U8MJmPS7bxwRyr7Txc6X3M4YNH6fQamExF3oRXKLizUp+r2Cb5WD7w9LAalERERERG5dhwOB18dOI7DAV2bhWM2m4yOJCJuLi0tjaysLOe4adOmPPXUU7z44osEBASQmppKcXExI0eO5O6778ZmszF69GgSEhKIj4+/7P3T09OvZfxr7nhu6QVz9uJ8Nm3adJGrRaSuSU5OvuRraii7sD/d0p5+C7907m/0ZFo7fD31r0xEREREapfSChtp//iCrw4cB84eEvXF/Tfr/BARuapmzZrFG2+8QVxcHG+88QZ/+ctfmDZtGqNHj3Zui9GpUyd27dpVrYayu+2hfL5k4NMTJhZtOLsqOSLQh7/c2Z2YsEvvHy0iAmoou7SezRtyYNog1uw/RkLDYFqGBxkdSc5TVlnMd5mfc6owm4ZBMbSLvhEPs9XoWCIiIiJuZfHWTGczGeDbzJO89d1B7u7Y3MBUIlLbBAUF4e/vD0B4eDibN2/m4MGDTJgwgQ8++AC73c7mzZsZOHCgwUlrzj+HXc/9XVqSk1/MjXERWsQmItWiSuHidh7LY3PWacor7TSvF4DFrG2vXcn/vn+HrDO7ADhRcIiyyhKub153fvgQERERuRpOFF74seuLzYmI/BozZ87kkUcewcPDA6vVytNPP03jxo3p378/Q4YMwWq10r9/f+Li4oyOWqNSosKAMKNjiIgbUUPZhf1r/V7uefsb53jVvqP8487OBiaSc1XaK8g6832VuUOn0tVQFhEREfmF7kiM5k+fbaWwrBIAX08Ld7ZrYnAqEakNGjduzDvvvANASkoKb7311gXX3HPPPdxzzz01HU1ExG1puasL+781u6qM/7V+H3kl5QalkfNZTB74eQVWmQvw1lNdERERkV+qSag//3uwD7/tFMc9nZrzvwf70Ex7eIqIiIi4JK1QdmFWS9WTrS0mE2aTTrt2FSaTiU6xA1nz/VtU2ErxsQbQMeY2o2OJiIiIuKXEyBBeurOT0TFERERE5DLUUHZhj9/YlqGvrcHucADwcLdWBHjrwDdXEhUaz5COUygoOUmQbzgWs76lRERERERERESk9lL3y4UNSoxm66O38cXuHBIigukVF2F0JLkIq8WTUP9Io2PIz3DYbNiLi7EE6KOzIiIiIiIiIiK/hvZQdnGtGwbzULdWaiaLXKHT7y9hS1w0myNC+H7ArVSeOWN0JBERERERERERt6WGsojUWpV5eRy4byyVx48BkP/FZxz5y9MGpxIRERERERERcV/a8kJEaq3SvbuxFxVVmSveusWgNOJOXlz7Pa9v2E99f2+eTGtHh8ahRkcSEan1lu/I4rlVO3AAE7q14vaEKKMjiYjUetuOnOHJT7dyNL+Ekckx/L5rS6MjiYgbUENZRGot34REPOqHU3niuHMusOeNBiYSd/DGpv08uGS9c7z24HEOTBuEv5cORRURuVbSc84w8F+rsNnPHkb9v/3H2TjxVtpF6oGeiMi1UlxeSe9/fM6JwjIA1h06iZ+XB3ddF2twMhFxddryQkRqLbOXF3GLP8D/+q5YGzWmwYMP03DiJKNjiYtbmpFVZXy6uJz/7T9+iatFRORq+GhntrOZDGB3OFi+I9vARCIitd/agyeczeQfLc04bFAaEXEnWqEsIrWaf0pHWn22yugY4kZa1g+sMjaZoMV5cyIicnXFXaTOXmxORESunub1AjCbTNgdPz3Qa1FPtVdELk8rlEVERM4xsUdrujYLB8DTYubpPu2JrRdgcCoRkdqtf5so7rouFpPp7IO83yQ3Y1Bb7aEsInItNQ31Z9at7fG0nG0NdWpSj0d7tjE4lYi4A61QFhEROUewjyerH0xj/6kCQnw8CfH1MjqSiEitZzabeGXY9cy6tT0OB0QG+RodSUSkTpjUK4F7OsVxuriM5lqdLCLVpIayiIjIRcSEaVWyiEhNiwhUI1lEpKaF+noRqkUUIvILaMsLEREREREREREREakWNZRFREREREREREREpFrUUBYRERERERERERGRalFDWURERERERERERESqRYfyiYiIiIhcQxUVFUyZMoXs7GzKy8u5//77ad68OY8//jgmk4m4uDieeOIJzGYzzz//PKtWrcLDw4MpU6aQmJhodHwRERERkSrUUBYRERERuYaWLl1KcHAws2fPJjc3lwEDBhAfH8+ECRNITU1lxowZrFixgsjISNavX8/ixYvJyclh/PjxLFmyxOj4IiIiIiJVqKEsIiIiInIN9enTh7S0NAAcDgcWi4WMjAw6duwIQLdu3fj6669p1qwZXbt2xWQyERkZic1m4/Tp04SGhhoZX0RERESkCjWURURERESuIT8/PwAKCwt56KGHmDBhAs8++ywmk8n5ekFBAYWFhQQHB1d5X0FBQbUayunp6dcmvIiIC0hOTjY6goiInEMNZRERERGRaywnJ4cHHniAESNG0K9fP2bPnu18raioiMDAQPz9/SkqKqoyHxAQUK37JyQk4OXlddVzi4iIiIicr9Y1lB0OBwDl5eUGJxERufY8PT2dK9yMpNorInXJL629J0+eZOzYscyYMYPOnTsD0Lp1a9atW0dqaipr1qyhU6dOREdHM3v2bMaNG8fRo0ex2+2XXZ2s+isidYWr/NwLqr0iUndcqvaaHD9WwlqioKCA3bt3Gx1DRKRGuMqKNNVeEalLfmntnTlzJh9//DExMTHOualTpzJz5kwqKiqIiYlh5syZWCwW5s2bx5o1a7Db7UyePJmUlJSfvbfqr4jUFa7ycy+o9opI3XGp2lvrGsp2u52ioiKsVqvLPL0UEblWXGWlhmqviNQlrlJ7QfVXROoO1V4RkZpXZ1Yoi4iIiIiIiIiIiMi1YTY6gIiIiIiIiIiIiIi4BzWURURERERERERERKRa1FAWERERERERERERkWpRQ1lEREREREREREREqkUNZZFf4b333mPOnDlGxxARqXNUf0VEap5qr4hIzVPtFVekhrKIiIiIiIiIiIiIVIuH0QHk0goLC5k6dSoFBQUcP36cESNGMGLECKNjyXm2bNnCXXfdRWFhIePHj6dHjx5GR5JzlJaWMnnyZI4cOUJFRQXTp0+nQ4cORscSF6ba6z5Uf12Xaq9cCdVf96Da69pUf+WXUu11D6q9rq0u1l41lF1YZmYmffv2pXfv3hw7doxRo0apsLsgHx8fXn75ZU6fPs2dd95Jt27dMJu1+N9VvPXWWzRq1Ii5c+dy8OBBVq1aVesLu/w6qr3uQ/XXdan2ypVQ/XUPqr2uTfVXfinVXveg2uva6mLtVUPZhdWrV49XX32Vzz77DH9/fyorK42OJBeRnJyMyWQiLCyMgIAAcnNzCQ0NNTqW/GD//v1069YNgKZNmzJmzBhjA4nLU+11H6q/rku1V66E6q97UO11baq/8kup9roH1V7XVhdrrx5nuLBXXnmF9u3bM2fOHPr06YPD4TA6klzE9u3bAThx4gTFxcWEhIQYnEjOFRsb6/x3dPjwYf7whz8YnEhcnWqv+1D9dV2qvXIlVH/dg2qva1P9lV9Ktdc9qPa6trpYe7VC2YX17NmTmTNn8tFHHxEQEIDFYqG8vBxPT0+jo8k5SktLGT16NMXFxTz11FOYTCajI8k5hg0bxpQpUxg5ciQ2m40pU6YYHUlcnGqv+1D9dV2qvXIlVH/dg2qva1P9lV9Ktdc9qPa6trpYe00OPX4SERERERERERERkWrQlhciIiIiIiIiIiIiUi1qKIuIiIiIiIiIiIhItaihLCIiIiIiIiIiIiLVooayiIiIiIiIiIiIiFSLGsoiIiIiIiIiIiIiUi1qKEudtm7dOkaNGnXV7jd58mSys7MB+O1vf8uxY8eu2r1FRGoL1V4REWOo/oqI1DzVXqmN1FAWuYrWrVuHw+EAYMGCBTRo0MDgRCIitZ9qr4iIMVR/RURqnmqvuAI1lEWAAwcOMGrUKPr168fQoUPZtm0bANnZ2YwePZrbbruNwYMHs2vXLgDmzp3LkCFDSEtLY9iwYZw4cYKXX36Z48ePc++993LmzBl69epFVlYWdrudmTNn0rdvX2677TZefvll4OxfAmPHjuX3v/89aWlpPPTQQ5SXlxv2z0BEpKap9oqIGEP1V0Sk5qn2Sm2ihrII8NhjjzFq1CiWLVvG5MmTefjhhykvL+dPf/oTaWlpfPjhh4wfP54XX3yRzMxM9u/fz1tvvcWnn35KdHQ0y5Yt49577yU8PJyXX36ZkJAQ573ffPNNcnJyWLp0KYsXL+azzz5j1apVAHz33XfMmDGDjz/+mCNHjvDVV18Z9E9ARKTmqfaKiBhD9VdEpOap9kpt4mF0ABGjFRUVkZWVRe/evQFo3749QUFB7N+/nw0bNvDcc88B0L17d7p37w7AH//4RxYvXsyBAwfYsmUL0dHRl7z/unXrGDhwIBaLBR8fH/r168c333xDr169iIuLo2HDhgDExsaSl5d3jb9aERHXoNorImIM1V8RkZqn2iu1jVYoS53ncDic+w+dO2ez2fDw8Kgyt3fvXtLT0xk3bhx2u520tDRuuummC95/LrvdftF7A3h5eTnnTSbTz95HRKQ2Ue0VETGG6q+ISM1T7ZXaRg1lqfP8/f2Jioris88+A2DLli2cPHmSuLg4UlJSWL58OQBr165l+vTpbNiwgY4dOzJ8+HCaN2/O119/7SzUFovF+f9/1KlTJz744ANsNhslJSUsW7aM1NTUmv0iRURcjGqviIgxVH9FRGqeaq/UNtryQgSYPXs2Tz75JPPmzcNqtTJv3jw8PT2ZMWMG06ZN4z//+Q8+Pj7MnDmTgIAAHnzwQfr164fVaqVly5ZkZWUB0KNHD+69914WLlzovPfQoUM5ePAg/fv3p6Kigttvv52bb76ZdevWGfXlioi4BNVeERFjqP6KiNQ81V6pTUwOrXUXERERERERERERkWrQlhciIiIiIiIiIiIiUi1qKIuIiIiIiIiIiIhItaihLCIiIiIiIiIiIiLVooayiIiIiIiIiIiIiFSLGsoiIiIiIiIiIiIiUi1qKIuIiIiIiIiIiIhItaihLCIiIiIiIiIiIiLVooayiIiIiIiIiIiIiFTL/wd3AnGGI9sK2QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.catplot(x=\"location\", y=\"bounce_time\", col=\"county\", col_wrap=4, sharey=False, data=data, kind = \"swarm\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we could carry on and then do an individual regression for each location within each county... hopefully you can see why we can't always just do an individual regression for each new group. If we did we would have to to estimate a slope and intercept parameter for each regression. That’s two parameters, three locations and eight counties, which means 48 parameter estimates (2 x 3 x 8 = 48). \n", "\n", "Also we would now be taking our nice dataset of 480 observations, that presumably took a long time to collect, and effectively reducing it to lots of sample sizes of 20. This really decreases our statistical power, and thus also increases our chances of a Type I Error (where you falsely reject the null hypothesis) by carrying out multiple comparisons.\n", "\n", "So what could we do? Well we could modify the model to account for the different counties, and add it to our linear model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "___\n", "## Modelling county as a fixed effect\n", "\n", "One way to incorporate the impact of county is to bring the county in to our equation for the linear model by treating it as a fixed effect. This would look like: \n", "\n", "$$\n", "time_{c_{i}} = b_{0} + b_{1}age + c_i\n", "$$\n", "\n", "i.e. each county has it's own additional term that wil change the intercept. To model this we will need to alter our dataframe to encode our counties as numeric variables. So we will use **one-hot encoding**, where we will make a new column for each county:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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bounce_timeagecountylocationage_scaledcheshirecumbriadevondorsetessexkentlondonnorfolk
0165.54852016devona-1.51265400100000
1167.55931434devona-0.72287100100000
2165.8829526devona-1.95142300100000
3167.68552519devona-1.38102400100000
4169.95968134devona-0.72287100100000
\n", "
" ], "text/plain": [ " bounce_time age county location age_scaled cheshire cumbria devon \\\n", "0 165.548520 16 devon a -1.512654 0 0 1 \n", "1 167.559314 34 devon a -0.722871 0 0 1 \n", "2 165.882952 6 devon a -1.951423 0 0 1 \n", "3 167.685525 19 devon a -1.381024 0 0 1 \n", "4 169.959681 34 devon a -0.722871 0 0 1 \n", "\n", " dorset essex kent london norfolk \n", "0 0 0 0 0 0 \n", "1 0 0 0 0 0 \n", "2 0 0 0 0 0 \n", "3 0 0 0 0 0 \n", "4 0 0 0 0 0 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# make a new data frame with one hot encoded columns for the counties\n", "counties = data.county.unique()\n", "data_new = pd.concat([data,pd.get_dummies(data.county)],axis=1)\n", "data_new.head()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# construct our linear regression model\n", "model = LinearRegression(fit_intercept=True)\n", "x = data_new.loc[:,np.concatenate(([\"age_scaled\"],counties))]\n", "y = data.bounce_time\n", "\n", "# fit our model to the data\n", "model.fit(x, y)\n", "\n", "# and let's plot what this relationship looks like \n", "visualizer = ResidualsPlot(model = model)\n", "visualizer.fit(x, y) # Fit the training data to the model\n", "visualizer.poof() " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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JJ/Haa6/B5XIBANasWYMrr7wSCxYswK233oqNGzfirLPO0rpZsujoFZ5zbT8wqHFLikdoLrpnOIS+YBTT0w/nFS9vxiSvC+F4UjNx4w/49S47/JE4qLRhwRkY/DBu9iBZrGgYyfNTI4lK6XXlpRocxZ6bUQVRCqOKmxrTZ0aZkjMqevVhzYV86tSpePjhh3HttdcCALZt24aWlhYAwOmnn44PPvjAsEIOExdI4newvnTyUjSZCmULCbtW4pY94HPTFwf9QSQA0BYLLBQwyevKeQ9/kCxGNMzq+clBjXXlgDZZ22oJotrRF6OKmxrTLmZZiqcXehl1mgv54sWL0d09ulSIZVlQ6QnRqqoqjIzIs1w6OjpUaR9Ha2tr3rGjPVZ80Z+fPHK0xyH4eiNRS8WxPxjL/B5OJ8HYaQrBUAgHAjEwDItwjEEwNDp98Ju3PkFDYIpm7WwAcPncOry+h0JPIAYHbcHhcBw0E0cwNHrtT63zlHzNO/YdhFC+dcf+kOHvoxT3v9+NYCj/Ph/0B0Ez9sxxOeeq9bU4rY7F1n2hvOPl3Ot/9Qbw6OeHMr9vDQaxct9B/PyECVg4SXjjoGJpAHDRDA9e3zOEnkAMkz12nD29Fg2BXtHteOWgxPVvAHD1cW4Aqbr5KLNNan2mUSn2HqjRh+Wge7Jb9nx4MBiE1+uV9b45c+bA4XCo0qbW1lY0NzfnHb/TM2k02S0r6efOc1vQbHCL9CrPpByvwRVmEE0kcYTXjSqnDcmROCwWCg4rndksAwCGWErwWqhJM4CFWfdgfaevaA+gkBc254ugoNXcNM6r+rmq7R0O/fMgqtyjjzV3nxNAzn2VOlexZ0BNmgHMmFH8vS7E2nWbcs6b44NBS2Z5nRI0A7hMsU/T5/oTcinlHqjRhzmi0aioA6u7kB933HH4+OOPsWDBAmzatAkLFy7Uu0miLJrViIfOazFlWIkfEps3qQ4+fygTbnVYaYTiibzqXVLV0bRIGis2rCtWZIab/3fZaPgj8aKSt5RAi7l50XXldG6OwdzGWixbt8lwy7yUDuHrNWdphGRKgn4ouYeFHHQX8uuuuw633HIL7r//fkyfPh2LFy/Wu0kFMWqFJzkDB7/t2Z7ulFo3dh7y51XvKlQdzUhJY9nwt3O0UBTiDJOZ/+cKZHjsNsXWWsttlxBKzs2LriuvcSMcT53r3MZavLJ1X+Y1RrlvaqDHnKVRnws1IYZLijG1/GzKlCn405/+BACYNm0annvuOT2aUTGU2nn4xSP6g1EcDkaRZBjQFgvGS1RH0ytpTGrQ4G/nGI4nwYJFCKO7Q3mdNkz0ugpu+qE0WniHcpKRlq3bJPjeSkj246NHIlolJ1MKMRYNFzHGzPIzI1EpVqQSnaetZxBD4RhsFgo2SyoMOxSOoa1nQPQ9eoQt5Qwa/O0cufAWy4tyab2sSSvvUCpqZNZlXqWgR5b1WLq+wNgzXAoxZpafGYVCgmC2vYKU6Dyl7GWsR9hSzqDBX3NOgQILNlMtjkPrdb5GWaZk1HXPaqH1dNhYu75jzXAphF733pgl1DSgkCCYjWkNwstoiuk8pexlvKKlSfC4msIkZ9CYP7kek2vcmY1DXDYaNtoCty3XbtVaQBfNasTqJSeiaZwXtIVC0zgvVi85MS9vYdm6TVj4wBtYtm4T1nf6FG9HKfdNi3ZVCno8F3qixPhTKeh178esR15YEPKXqxgZJTy9UvYy1iNsKcfiFdvOMTvhS6/VBoW8Q63mGs1cCc8MjLWiKUaJNBkBve79mBXySgp/KdF5SqmnzX23lgOUnEFDzvXgPEwj5UdoOddIKuEVR7H5NEZd3SKHUs4VGDuGixzG3PIzvSgoCAHzVSkqd+Awy8Mot51Snq8Rd7HTc66RP3ifVseCK4Ux1udAx1JEQokVMGOZMbX8zAgUEoRKLTcohVkexnLbKbaL3bWvteKZifqtYtArSiQ0+GzdF8KMGT4smtWIaQ0ebOkeyJt2kSoWVCkYKSKh9kobI52rGSHLz3TALMJlZMy4hE9oF7sky+KLQ8OwW1PJfXp4XStamnIiBZxgqj3XKDX4zGusw+vbRvdHkFMsqFSK7U+l9L9i37O3P5BTYIi7L1pHJLTw9sZ69KVcDLv87OWXX8bdd98Nv98PYHSTk+3bt6vaMILxMWqIWhKBXezk7HteqUgNPlt9g5hc484TskLFgkqhWKEqRdhKeY/LRmPbgfwITqNX26RYIYPLH4nj4j99hInVLkUMaa2iQmZ0AOSgV/RKUsgfeeQRrFu3DjNnzlS1IQTzIRaivmtjh+4PZcFNUybW4tP9/TmvZ8HmLU8DtPVEntm8G16nLS/hUG1jQmrw3tsfEGwX/9qUOzgXG5YsJYypaOhT422N+QYXt/UwKGCCx5m3p0Ap90CLDPRKzjnQMnqVjaSQH3HEEUTECYJ0HBD2yNp7BzVuSS5SA8UNZ87N28XOQlF5e54D2q5iUCssJyWwUoO3HC9NaqMauSFsweMi51/K9SrlPeF4cjQikbXroVgRJbXg34e+YBQAMhvicMLO7SlQikBqkfRayfPwOdGrrL6idPSKj6SQH3/88bjiiitw6qmn5mwbeu6556raMIIJ0GZlRdFIDRSLZuXvYsffSIRDy7WwaoQ15Xg/QoP3qXWezHE5Xhr/mpciKsWefynXq5TQJ/c9/IiEHpUBs6eyogkGVprCuKrUuMwJezSRW42xWIFUO3eokufh5UavlEZSyAOBAKqqqtDW1pZznAg5Yc6k/BA1AMydWKdDa0aRM1AIDVbNUxok156rOa+nVFgzu50HRsJwWmnJcD3/erS2tub8jXuP2LXhX/OMqCTli0qx51/K9Sol9KlVwZPs+1ZLxXGVZ5J4/6IAiyU3ts8JOFfRkEPtiE6xVFINDz56nZukkK9ZswbxeBx79+5FMpnEjBkzYLWO6WR3QpqcEHWWd3P9mXN0bVepD5PeVdeUCGvy29mfFlTAnSPmxQ7uUl4a39ONJhhYLRTc9tyxotD3Fnv+pVyvUhL3tAg38+/b/mAsr3/xcyiyox5epw0OK41oIpnx0DnUjugUi1zDyIwJcXpVuZNU5I6ODlxxxRWora0FwzDo6+vDI488ghNOOEHVhhGMj1CIupQBTuiBbZD4e6HvUONh0mper9ywJr+d3ODODfYcSnsIfE8XAOIMk1fDvxxjSonXlxr6VDvcLKd/8aMe3F7z/aEoaAuFeY118A2Hiq7OWG67ikVu5UUzJsQtmtWI1u5+PP7hTgyEYqh323HJKTNVb7OkkK9evRq/+c1vMsLd1taGO+64Ay+99JKqDdMCM1p8RqPcAU7sgb1ohgfNBf7OfbdYm5R+mMwyr8dv57gqB3qGQ3khbqU9BH6Sj8tGI84webvn6V1/26hhXTn9S6jtXqcNJ01pwAvLvw4g9bwoGTlQq99LjRtmTYhb3+nDK1v3YYLHiQkeJwDgla370DylQd+CMKFQKMf7nj9/PqLRaIF3mINK2sbUSBRrHIk9sK/vGcJlBf5e6IFW42EyqgDw4beT89qiCQa0hVKt9K6Qp+uPxDPeolLfW67xbdQNPuRuBiRnnwEl722p/b7c+2QWw5mPYSu71dTUYMOGDTjzzDMBABs2bEBtba1qDdKKQhf86uPMtfuZUSjFexZ7YHsCsYJ/L/RAq/EwGUkACg2SQu30Om1526UqjRxvsVyUCLdqMd9dCkpuBqRklLGUfq/EfTKL4czHsJXdbr/9dlx77bW46aabwLIspk6dinvuuUfVRmlBJW1jahRKEVCxB3ayx17w74UeaDUeJrUEoJSSpIUGSS2FKrvtLhsNfyRecH5W64IxYqg9310K/Ps2tdqOlYvzjS9+27N38XPZaPT6w5l7oMS8cin9SYn7ZCTDuRgMm7U+bdo0/PnPf0YoFALDMPB4hDeRNxtiF9xls+Km97sx9M+DZN68SEoRULEH9uzptQX/XuiBVuthUloASvFc5AySWggVv+3BWKo4isdhE9zzvVQvLVv8u/pH0OB2aL5GVyuy71trayuaJe4h/5q29w6ll6DlrlAoN6xbyHgQGiOVMKSNGjmRwnBZ67fccgvuuOMOLF++HBSVX4vw2WefVbVhaiN0wf2ROPyROGgmjiq31TSZkkahFAEVe2Ab0lvJlvJAG8maL+SFluK5GGXuUKjtXqcNE6tdgqF0uee6ZmN7OkkxCrfNChttyVTcY1mkSwK7Vc3AF8IoibHZ14dhgTqXPXN9uHXk/BUKSvYNOQaZUoa0ESMnUuhlgIgK+Q9/+EMAwOWXX65qA/RC6IL3+kMIxhIIhuI5rzV6pqRRKFVAhR7Y7K1kS1mSBOhvzUsNeqWIslHmDtUop7pmYzt+/XZ75veBUAxsunzgJK8rk4HPFyq1DbRSN2dRWvj51yeaSOLASBhA6vpwSw35ld2U7BtyDDIjGdJ6oIcBIirkc+akinq89dZbuOWWW3L+dt1116GlpUXdlmkA/4IvfOANwddVSuhObXKXfUVR73bg32dMxDObd+PWf7RhWoMH8xrrsNU3qLpnYwRrXmrQK0WUjTJIqlFO9fEPd+b8jRPxw8EoJnldeeumtZr/l1sdL/u9aqyB5l8fChRYsJnrwxk6/MpuSvYNMYOsrWcgJ9z+vXlT0e4bMnxY3CiRlnIRFfKbbroJ+/fvR0dHB3bt2pU5nkgkMDJSmcJmFG+nFIzQIfnLvvyROP7c9hUm16RCoVu6B/D6tu7M75U+dSHlhZYiykaJNqhRTnUglLuslROqJMNkjimdCS9EudXx1FqCxL8+VppCPDl6fThDp9HrRjiRn6egBEJjJLdXO3e8q28EXX0jqq+UKBezFp0RQlTIL730UvT09ODOO+/E5ZdfDpZNWcc0TeOYYyozRGIUb6dYjNIh+QMYV2+bC4Xyf+eo1KkLKcOwVFE2QrSh2LbLeX2925ElmqNCRVssmWP+SBy9/hAWPvCGagZrudXx1MpjqHc7cCgQQSLJggULChRoioKNtqgeoeAQGiP7gtG8srCAMZ5rpXNUjIqokE+ZMgVTpkzBCy+8gFdffRXnn38+Dh48iD/+8Y847rjjtGyjZnA37zdvfYIhVpsHo1TKCf2pBX8A4+bqxH5m3lehUxd6FPDQklJyFwq9/pJTZubMAdMUBYai4LbS2HFoOJP8xmXIq2WwilbHS8irUqdWZO/fZ0zEuk/3ZH5nwSLJAj+efxSe/tGpZX22XIQMspFoHNUOW95r9X6u1chRMSqSy8+uueYazJo1CwBQVVUFhmFw7bXX4uGHH1a9cXqwaFYjGgJT0NzcrHdTRFFrY4xy4Q9gDiuNUDwBhgW2HxxGnGFhAfI20jDD1EUpGCUMbhZu+NZc7Drsx5/bvkIkkYTNYkG104Zp9aklr3v6AwjGYqiyW1WN6JRbHU+tyF44nsTEahcOB6NIMgxoiwXjqxyIxBnpNysI3yBbtm6TIack1chRMSqSQu7z+fDYY48BADweD1auXIlzzjlH9YZpgRHmleVSyAPXamMMKfgDmMtGYzgSgy0dGrVQQDyZv5GG0acuysHMHrcW8IvK9PrDOPaIGgAp4Y7Ek5lCM3KXV6lRxrWY6nhqGXB7+wOY5HVllpsBqamGt3f6VJ1qkMKoU5Jq5KgYFUkhpygKnZ2dGa+8q6urIrYxNVOtdSkPvNjQn1rwBzDaQmFitQvheBLRZBJuqxUuNw2rRbs5PYJxkSpowhduOcurjFLGVQ0Dju9BctuYOqw0GJYVPFctnBWjRp7UylExIpKKfN111+GnP/0pjjjiCADA4OBgRZRoNVOtdankG602xpBD9gC28IE3wKSTJLOhLRQ++sUSrZuWg5miMZUKv19LCbec5VWlbrIj1BeM1h/4HiSXPMpPNOPOVcskWD2ul9QzrFaOihHHDkkhP+WUU/Duu+9i586dsFqtmD59Oux2uxZtUxUz1VqXk3wjJ/SndQfUcg6qmHMzSpa/Uug1sCi9w5WUcMtZXrW3P5BZDhVNJOGw0hhX5RDNF1nf6cMVL2/OvH533wi2dA/gofNaDNcX+B4kRSGzlDMb7lwrKSubj5xnWA2P26hjh6iQP/zww7j88stxww03CP59zZo1qjVNf2s3AAAgAElEQVRKC8yU6KDE1pR6dECt5qCKPbdKGuD0GljU2OGqFOHm47LR2HYglPk9mkiiZziERq+wcb5mQ3u67Gvu6+/a2GHIvpDtQUolmVVSVjYfuc+w0pGCZzbvFjQU9R47LGJ/OP744wEALS0tgv+bnRUtTYLHjZjoINRWr9OGx3+wEB/9YgleWP51yU5UqOOrxaJZjVi95EQ0jfOCtlBoGudVpUhEsedWSQOcHvdVqe/l92uv04bJNW7Mm1SX6S8XtRyDI7xOsOxopbeSyN8uAgDQcWBI8Hh772Dp36URUmPYtAbhDa6M6KwUi17PcFvPYE40lDP82noGVP1eKUQ98tmzZ8Pn82HBggVatkczCoVdsut8GwElQkTFhhyVQou5s2IfajNFY6RQakDjh8kb2BDWfqHvDleleP3heBKTa9ypfp5MwkGn+nk4nhBuRBm2gd5IXb9Kysrmo9czLNaPwvGk4HGtEBXyCy64ABRFIRqNor+/H0ceeSQsFgv27duHqVOn4s0339SynapgxIQWMcptq8tGY2tvMFMVKppgEIonREOOZqLYh7qSBjglBjS+YG7pHsD+wQCOrPOIltLVYoerUsKYXLv488Zi7ZozqRaf7u/POz53Yl1R56EXha5fJWVl89HrGeYvnR09Lhrc1gRRIX/nnXcAACtXrsT555+Pk08+GQCwdetWPPXUU9q0jqAYg+EY4snRwhEsWMSTLAbC0QLvMgfFPtSVNMCJbcdbTBlTqdK6HFrscJUdGdhxcBiRRBJMOqzOGZ8WkTB5Ke264cy5OclunLFw/ZlzSm63UTKZAXM5K8Wg1zM8f3I9WBZ5/WX+ZH0XLUtmrXd1dWVEHADmzZuHvXv3qtoogvL0DIdgoy05dZqtNJWT6GNWSnmoK2WA45+7y2qFPxIvqoypaGndpHgpXS0ygsOJJBIMCwoARWUZn6GY6GcU265Fsxrx0HktZZ2H3CkAo4q9WdHjGV7R0oSuvi15ER+9o3mSQj5x4kQ8+OCDWLJkCRiGwWuvvYajjz5ag6YRFIVN1a6mrQXcGRNTKcJcKixYsCywZ2AETmt++E9OOJrDYaURjjFw0Lmfww9Pq5ERnA1Xg4BFbq5aJFF4PrLYdpV7HnKmAIy6bIlQHHIMRT0MNkkhv/fee/HQQw/hqquuApBaV272pWdjEbXmAivJyyj3XPS4FkrU3eeHo8dVObA/Fs8rNKK218GPDFCZjUxHf7fSqd2+jASXyczBZTJbqFHzQ6klj2r0sUp6hrWgkOGnl8EmKeQ1NTW4+uqrsW/fPsycORORSARut/kTpMYaSs0FZlNJXka55yL2/tbufmz1Dao2SJa75SaQ72WcNKUBZ052YoCq0nT+kR8ZcNlSm+5YQMFhHRVvoyWiyclkViLLX43nTegzr3h5MyZ5U6WVibAXh141KiSF/KOPPsKtt96KZDKJF198EUuXLsXatWtx2mmnqdYogvIoMRfIR69Oq4YHUe65CL3fH4njvne/wPT0el41DB3Rqn/J4uru872M1tZWzXcA5EcGJnld2DcYhI22gGFZRYxPNZCTyaxElr8azxv/M7n67X3BKKan22xW41wP9FrfLink999/P1544QX87Gc/w/jx4/Hcc8/hqquuIkJucLSoH11Kp1UifK1GFKDcB1Do/dxaZj5KGjpCVf+CMTuGwjHsOORHvduOS06ZaYpBWCgycFHLMWj3DRl6dYGcTGYlsvzVEAl+fYk4w8JCIW9jGr0rl5kFvda3Swo5wzAYP3585vemJuFqQgTjoFXIu9hOq0S7Si2RKGVAlPsACr2fax8fJa1zvkD4I3EMhWM5Nbhf2boPzVMairr3/+oNYO068YIwQigRKVHC2JRqh9IRHTmZzEpk+Qv1MX8kjkgiWfI2pvyStkmGQRKAzZYrDWaseqgHeq1vl5W1/u6774KiKPj9fjz//PNobKwsyywUS8BhtYC2GCuJplS0CnkX22mVaJecxCI+cgyIch9AofdzRgYfJa1zvkBEEknBjTSKucbrO3149PNDqErnwsgxuIySLyE158vtec5dHyXaKVekyzVShIy2nuEQJte4RbcxLZbc9MJRzFj1UA/0Wt8uKeS333477rzzTvT29uKss87CggULcPvtt6vaKC25951tuOkfW8CywMRqJxpr3HAzURz3ZQKNXhcmed2YXONGY40LjV436t12UAVEwwhoNU9TbKdVol2llEiUY0AsmtWI1u5+PP7hTgyEoqh3O4oKSQtdi+/Nm4pXtu7Le63S1nm2QIhtHVvMNS7F4BLLEbj4Tx9hYrVLs6QpqTlf/p7nHOUauVosf1TDaMspaZtIGTrxJJPXh/ReJ20m9FgKKynkzz77LO6//34t2qILH3x5CEkm1Wl9/jB8/jAAYFPPTsHXO6wWNHrdaPS60Jgl8JO8rrTgp/7mcdgE368FWs7TFNNplWhXKSUS5RgQ6zt9eGXrPkzwODHB4wRQfEha6Fo0T2nIEfe5jbV4ZvNu3PqPNlXETYlrvLc/gGCcwcH+gOy6/PxrzAkoKGCCx6mZh85vB1eljstV4O95nnmfSULHShttQiVt/ZF4UTsrEvRHUsjfffddXHnllYb3Qkvl0f9cgLmTarG3P4DetJDvHxxBOCG8m0I0wWDvQAB7B4TFgcPrtKXE3jsq7o01afFPGwKTvC7YBeZQy0WpeRo15hLLbVcpJRLliJua0xFcsZZefwifdfcXHdYt5j4ocY1dNhqHQ3FY0lNNma1Aa3KXnWa368BIGE4rnTk3TkD5RWWUnt7hXxuXjc5UtePant0O/p7nHOUauXqsxVbCaBPqL16nTZVdCisNhmExHIlhIBTDQCiKwfDoz8FQDF6HDRf+23R4nXbV2yIp5LW1tfj2t7+N448/Hg7H6HxfpRSFaaxx447vnJhz7NNPP8XMOfPgGw6jZzgEnz+MXn9o9N/DYfT4Q+j1h3Pql2fjj8Thj8Sx45C/4PeP9zhyxd7rzhL8lJc/vsoJS6EC0zyUmKdRY85TiXaVUiJxRUuT4Br67PeoMR3Bv4btvUMIxROwWXKXUxUSt2Lvg6pzdFm2Lb9dTiudzl1IhXo5oeTnCCjp+QpdG38kDgCZ/sEJN9cO/p7nQPG16eW0Q4vogxJGm15zukYiHE+MinGWKLfv7McrB7eMCnQolvPvoUgMAgGRHIYjMdx01jzVz0FSyL/3ve+p3gijQVEUvE47vE47Zh9RI/o6hmHRH4pmBN43HEr97w/D5w/BN5z6eSgQEb3hhwNRHA5E8blPfP9jq4XCxOp8j37U00/N49c4bZnIiRJlJ4XQey6x7IFHxB5SYzqCfw1D8QTiSQaJJAuH1SIrUa+U+1DuNQ7Hk6i20xiKMUgyDGiLBeOrHAgnRj1dfrtSwunOhGQbqhw5HjqH1PUsxrMVujZepw0euw0TvS7sHRjBvEl18PlDmXZw7Wz0uhFOJOCyFV+bXk47APWXbCklwnrM6SpNkmEwFI5jMBzNEeWU+EZzvGb+sWhC2BlLcbDkNrntNE6aos1mKgWFfMeOHXC73Zg7d27FZaqXithAM3+y+HviSQYHOHHnBF/g51A4Jvj+BMOieziE7uEQgPwyqxwuG41GrxuTa1JJeo01KY9+UtrT5/7ttkvab5oWNhC6poW6f7EDzzObd8PrtBVMClLCu+GfR1vPIKodo9c6nYqRlxVcKFFPjwITLhuNkVgSNosFNkvKcx0KxzBjvLdgu7xOG2gLhY9+sSTPSwWkPd9iPVuxaxNOJPDC8q/nfK6Y2C1btwmBaDzvM+7a2CHboNCrCAhQmggbuSQry7IYjsQxEIqiPxhFf/rnYCiW+fdAKIr+tAin/o+Jjp1KYaMtqHfbUeeyo97tQJ3bjjqXI/+Ye/RYo9eNaqc2uVKiI/rzzz+PBx98EEcffTS+/PJL3HHHHVi8eLEmjTIqpYbQbLQFR9ZV4ci6qoKfH4olMp78mzt68OYOHw74w7BbLahx2hGOpzw4sU0jwvEkuvpH0NVfeACpddlHxT4dvp9SW4UptW4cWevGlJoqHF1fhT0CA5TSCXNi1/SiGR4oVVdMzkBbrncjdB6HAxGwrCNjQFgAJJFa4pNNdqKe1Jwvhy7LgbLsD6kIBn8VgNtuhc1iKej5FuvZyo2iFBI7ob7hj8Sx/eAwjk1H46Se82kNHmzpHsibuuF7Y8Wsb6+l4rjKM6lskZ7XWJdTInheY13OSgq1SrKyLItwPJkRY058U6IczRLlWEa0B9JeMpd8rAY1Thvq3GnhdeUKL1+ge7/swmnN81HvtsNttxo6T0xUyF944QX84x//QENDA3bs2IFVq1aNeSFXO4TmtlvRNM6LPf0BbNjZC6uFwpTa0QSje7/bjLNmTsJQOJbx5HuGU/P3Pn9qPr83bQj0joRFH4ihcMqC3XZgWLQtDtoCUICdtsBGW2BP///dOUfic98AjqytQp2r/KV4Ytf09T1DuKysTx5FiQFfCqHzGFflyMmOdtutCMUSeSVHuUQ9OXO+QPlzulKE40mMd1sRSFA5wpQdWpeKYPBXAezpDyAYjaHKbhVd9lWsZ6tEFEWob/QFo4KFfMSe83mNdXh9W3fmd27K5KKsdqzv9OXkaezuG8GW7gE8dF4LFs1qzLv3+4OxokP8/M/Y0j2A17d1Z5aodfWN4O3OXoyrGjUu5ZRk5cLWnPj2BSPoD6YFOMtzHgjm/l44ZF06tIVCvduOBrcjI771aUEWFWiXHbUuO6xFbLjTOtwj6XwJYajdz2w2GxoaUgPM7NmzEQqZf9/qcuGXM5SzLKcUpAyGOrcDdW4Hjp9YK/oZSYbB4UAUPn6S3nAIvnSins8fwuFAVPD90XQSH/9hXPXm51j15ucAUiHYercD8SSDJMNiQrUD35qR8iJS3r202IsN3j0B5UJlWlRbEgs1WyigaZw3NV/bWAffcEg0UU90ztdhw8Tq1JyvEnO6Ukxr8GAkGMQEXpZ6tuEjFcHgn4ucZV/F5ikolTzJ7xvR9PpsPmLP+VbfYM5abG5caPcNZV6zZkO7YCGjuzZ2YNGsRkWcBP5n9AWjSLIsvhwMwmah4LDSCMbiYFgWNppCIsnCl07YjTMM9g+FkGQYJBgWFzz3PurddvSn55rV8pFrnDY0VDnQkB7TGtx2NFSlBLrB7UB9lSMj2txxr8NWVPKvlkgZbGohKuT8wddqlZ5XrXT45QzFluWUixJzbrTFgoleFyZ6XQUTLqKJJHzp+ff9QyH0DIWwfyiI7uGUAbB/KIiDIxHB93Khfo7+UBTbD/rx2/c7M8fcdhpTaqowpcaNKbXc/6nfj6ytQmONC/sHg3n9bbJHuSUbWmTmionQxGp3ZvnZEdVOnDVrkmjtcNE53/jonK/YnK6S22GuaGnCyn35ST58w6eYkLWcZV+lGFxqJE9W2a1FTWfs7Q8I5mBkP68dB4b4bwMAtPcOZj5D8LN5zzzLsogkkhgOxzEcSUXWhiNxDEfi2PxVHxJMyqhOpJdGcUG5eBIIpXMxYsnU6/kcCuQ+5/0hYSNfCJeNzohtQ9pL5v5dn/6/ocqeEeiGqpSXXIyHnOqzWww5t88harBt6NBHyIeGhvDXv/5V9Pdzzz1XsUYwDIPbbrsNnZ2dsNvtWL16NY466ijFPl91FDZXtSzo4rDSmNZQjWkN4p8dS3dGvtj/tWMfBkMxxJIpK16IUCyJnYf92HlYfBmehUJO+N5GW9A0yYW/f9GNI9Nz9+WG8dXOzBUSIW4JYiCWGjS70tb5JK8LLJuf9CbnvmuxHeaiWY34+QkT8MGgRbG64ELLvgDl65GXQnbfiMSTeLVjH+58ux1JlgXDpowwlmUxc4IXL275ErEkk9pgJMkgwTCIJxn0BSOjd5NNDQkNVQ7c+fZWMGwq/0XoGWFYFle9+gkGQlEMhVPCy4JFPJGEJZiAw0qj5Td/x3C6hv5wJC665FUpaIqCy0bjuIk12DcYRCzJwGqhYLVYYLVQoC0Ujqrz4L5zTs6IspwE2nIwSglgKTp6RQy2A+KrkpRA9OovXLgQH3/8sejvSgr5hg0bEIvF8OKLL6KtrQ133XUX/vd//1exz1cKfjlDoblDJZDjmWg5D2MXEfvN+/owsdoFIDUgxZMMhsKptZZ1LgecNhrjPU7EEkl0D4dEPXuGTYXws8P4L45E8OLOdzO/u+2pjHwu3NaQtvBzfnc7UO20wW2jUWW3wm23wm2zwm2nVa+jLyRCvf5QjmcnNR8p576XYuTx+8qBdPVCPtle/cJJHlx2dnHphtnf47LR8Efiosu+1KhHzjAsRqKjgpf6GcNQOA5/lvea85P32kLzunes31pUe3z+MNpFBnaOBMPiwU07xM4II9FEpriOUlgtwPET6+CPxOC2WTEcicHrtKfFmgJFUZmCMGLV40LxBOZPrle0XYXQa4lf0egU8RcVci0LvrS2tuLrX0+FDufPn4+Ojg7J99xzzz245ZZbAADvvPMOfvOb3+Dyyy/HokWLAAC33HIL2tra8PLLL8Nms2FoaAjLly/Haaedhuuuuw4A8Morr+Dpp5/GzTffjAULFgAArrjiCnz11Vd49dVXAQBffvklLr/8cpx99tmY1nAsuvpGUL37I7C7W0Gd/iNQTg+m1VfjwgsvhMvlwuOPPw4AaGtrwy233ILzzz8fP/rRjwAADzzwADZu3IinnnoKRxxxBADgnHPOwezZs3H33XcDAN577z08fN99+P73fow225TUvOinf4Pl8Fc4/dKXAQCvfrYTd6z8OTCpCZYFS9HVN4KbHv7/cM/uj7D6tluxcOFCAMCVV14Jn8+HP/3pTwCAffv24bLLLsN3vvMd/PznPwcA/P73v8dLL72Ee+65B8ceeywAYMWKFbBarXjyyScBAO3t7bjxxhuxbNky/PjHPwYAPPjgg8Crr4P995+A8tTCQlGgX38YTncD7M3fwxHVTrDdnYi8+Qb+a/kKXLfyfMQSSVy3+m5s/mIXfrbyOhwOJ7Hn8BBefWcT6JrxSLprRMU+FEvNN+1GafkIDqsFVXYrrGARGBpErdeDIxrq4bTSOHywF8P9h3HivLmo8VTBaaOx6d13UOtx48wzvgmnlcYBXzc++L/3cNrXFqJ5/jw4bTTeeO01dO3cgZuuvxYTaqpRa6Nw8OVHcPoJc/Crn9+Ab/z2TbB7Pge79R1QJy9Bnyu1RrHhs1fAhAdg+e4vAABPbvgED1/zFM4880ysXvJf+N3mLuz+4C1YOj/Gf199Q2ag+tnPfobISAhYkLoHbL8P7D9fBDXj3/CTX14OAHj00Ufxj3/8A4888gimTp2K9Z0+3Pjz/wdU1cFyxvno6hvBV198jsYdGzB4zCnon3gcHFYakzs3YuehPfCf8zK8Xi9isRiWLl2K5uZm3HbbbVjf6cODz76Ig+//HZPOOA+XLzsXi2Y14rrrrsOOHTtw2T3/i5vf2AI2NAx2/dMYmXoccNy/w+OwIbD1fVg6P8LVK6/Dz757JgDgkksuwXNvh7Ho2WcBAJ2dnbjmmmtw3nnn4aKLfoL+UBS/ffpZrH//Y/z4vy8B7a7BYDiK5/78Cuiqasw64SQMh2Po7htC9+F+UE4PwgwkC3QYHpaBBQBN0/A67WCjQcRCQcyafhQaPG7UOK341/+9i8aGWpy96Fuoddqxv6sTG//xOpaddw7cU5rwxnYf9r/5POK9e7Br4U/AwAI6FsCM1hcxMv4YBOaehc+uPhsvvfQSfv/7J7FkxWX4Z7AKewdGYPu/51GDGBat/A8AQCMC2PfXJ0AdcyKoud9MNbH9/8Du3YLd/zEzsxvmBRdcAK/Xi0cffRQA8Nlnn2HVqlVYvnw5fvCDHwAA7rvvPrz33nt4+umnMztqLl26FHPmzMnojdhYvmvTR6CWXg6KtoKNBMG++QTQOAN7Fy4FID6WHzp0CH/84x8B5I7ll1xyCQDgmWeewcsvv4y1a9di1qxZAJAZyy+++GIAxY3lx9jqsK0p1W7Pod2YsPM9HG46FbNbUvp22223obW1FX/+85/hdDrh9/tx/vnn42tf+xpuvPFGAMCrr76Kp556CjfddFPOWB4IBHDppZcKdhtDTHwHAgF4PJ7M7zRNI5FIFJyXHx4eRmtrKwCgq6sLsVgMe/bsyRwbGBhALBbDZ599BqvVikAggFgshkOHDmVe89VXXyEWi2HXrl2Z7/L7UyFg7jUHDhxALBaDz+fDaf82G1v3hWCNx0GzDGKRCNhQCKfWefBuKIREIpF53+7duxGLxbB///7MsYMHDyIWi6G9vR3d3aks12g0isHBwbxzqY4O4eoTZgJw43e7rdh5KIktW7bAbrfjkY27wLAMmEQC8XQSIh2NwR+OYteuXbDZbJlrFA6H876/t7c3c6ynpwexWAzbt2/PJDQGAgHQNJ15zZ49ewTPxWkB+iJhsJbUfDbNsGDBwmNlEQyFYIlGYWUYPPnhDjx38M+Y7LGjrqcbnmEfZjD9mFvjxNfsLPZ8+R6OPfZYLP/hcsSTLN58/2O88c+P0PyNs2BvmIiDoTg+7tiJ4SQF7/hGDMcSGIkxRc1opDz+dAKd3YNQBPD1DKT/agWqJmF9Vx+AvtSh6qPxFYDP3/ti9EPGn4Adu8N4ajcXmRoHTD4N/7nuw9HXTP8PvDcCrL3+BVAAKFsj6HnfB8XYEU+vdfUd+W+wxULAoWFQFPBVMoqampmI+2IIduzAKbU06qfU4/OeGlD+Pnz8yaewWiiMjIzAmkziohkevL5nCL5oBA6wOGmcHQ2BXrS29qK3txexWAwdHR04fPgw7n+/GwzDgE0mEU7fX5ZlkWRYxBJJMAyDcIxBIBpHHcuira0NVVWpTN1YLIb+/n488vr/4dHPD4Hu98PKMvjy8BBWvvQBfn7CBAwODiIajeL+Nz9BMBQDwmE4WAbJeBw0E4cjEca3p1fjra/siAz14dm33sdQNIHPE16ErHW44Im/YzCahG8ogD1HnoVN2yhcfO1z6bldF3DkN7H5rdGcC1RPBwBsb98/eszmSa3rKwIbxYKKRVBX5cD46ipU2Sw43P0Vov5BnHHqQlTbLbDEY3jn7Tdx9JFH4rSvLYDNQmF7Rzs+/6wVS769GMccNRUWC/CH559HJBzGxRf/DBSAw4cO4Q8vvIDmk07EGWecAQuVEqh/ffwJbAvPRh/txcQqG8LvPI+E1YlQ83cx2WPHv9H9aP37n7B48WJ84xvfAAD88Y9/xNZdW3H9f14Pr9cLhmFw8/MfYbp9OhbXfR1ADNboAdQNfoWqoR40HzMRJ8/34qlPbfjkIAWaQup/CwWk/sPRHitaW1uxb98+xGIx1EQGcPVx4wG48WArDb8/nnnOm70svkzfz0S6/1jjcdRZgC+++ALDw6mVL9zYwb3vrx99joP+EO58awue7nVg6TG1OHToEGKxGLZu3Yra2tpMHxMa//hjuQUsguEwYKGBaKqPMYkExlOptoqN5dnjX/ZYLjT+BQKBzLkk0lHW1tbWosbyKTUWHHDSGI4mMpGMapsF/znVgdbWVvT39yMWi2XG8mAwiFgshr6+PkFdyh7LEwUivxTL6m/DrlmzBieccAKWLFkCADj99NOxadMmwddGo1F0dHRgzpw5OSVjlaS1tRXNzcJhxULFJbRCLNzFFePQkuzrsbtvBA3u/KUtoIBjJ4xWyJNTx7nQPQBSWfnZRSL604UhgtEEQvEEQrEEgrEEQvFk1r8TCMdSCVfRJINIPP/fkURStWUz5eBxWOG00rClcwhsllSBiklZFf7GeZzw2K2odthQ7bTBY7fiv1/8CBQA2gJYqFTYtPOQH6F4As6s+WqWZdE8ZRxe/e8zkGRYfNbWhuPnzEWSYXHZXz7Gl4OB9Nxvas6YYVk0et245t+Px2Aohhv//ll6zphN/89kflKgEFN4Xtdtp1HnGl1WVOOyodZlhz8Sxyf7+kCnw8Q0ZQFtoXDZabOxeHYjap021LjsgsvLtESoYA4w+mxI9X+535HJoE4m4aBTU4H8DGo569uLGfOkzq3Uc1H6M6Uo9R6opRGFtK8oj/zw4cOZkIiSnHTSSXj33XexZMkStLW1YebMmYp/h1IYoZyhlslwUmRfj2XrNuW0S82NM2iLBeM8ToxL71SmJCzLZhKaoom0yCeTabFn0mI/+u9wPIlANI5ANIGRrJ8f7+tDh28QfAmzUEgnu8knEE0gEM21yLvEi/zJIhxP5rTh/S8PoeHmF0cPvCy8AyBH5+ERvNslp4Rl4TO1UBTGexw4wuPCeI8DEzxOHFHtSq1Br06tQx9XlVqeVOtMCbbYZkPL1m0SXDr20ZeHcfnXZwOQLpqix3arHErO+S6a1YiHzmspKCpykshKqaQoRDnnZqaa8HpoRFFCfvHFF+OVV15RvBFnnXUWPvjgA/zoRz8Cy7L49a9/rfh3VBJarIsuBX67tNg4Qw0oKrXmVsprW9/pw5/avhQVgKPv+AucvG1XkwwL2kJhzqRaHFXnwQ9PPBoLpo6DPxJP1YEOxzCYzmAeDMfQ1jOATV0HkWRYMEgZGSyAI2urkGRY9AyHBJdKyUGtUBwFwEqnspxnTfBi5ngvxlWlxHhcVSrLOSPUHica3A7F1gVLZfXLKZqix3ar/HYqhZSoqCG6ap2bEZwoORiqIIwQakXhLRYLbr/9dlU+uxIxqnXKb1epG2eYATmezIDAOlw6nRXMnwJpFNmbZ9m6TTi63pN3vGmcN7O2fCQ9hTEQiiIQS0UDRiIJBGNxjETj2Oobwmfd/RgMp7KUPQ4ruodDYFkWFChY0mH3hUeNxzHjqkFTFPoOH8LkSRNBWyh8ORDEe7sPAAAoKlVi1kIB/3nCUThpSgPq3XaMq3Ji+8EhvNbRjf1DAUxv8OrSJ6WiVUJFU7ifYhXn9GinVqghukY5Nz3Qa5lcUQHCGB0AACAASURBVEI+YcIEtdpBKBKjWqfZ7RKb19I7ciBGuTtvAbkCUO92oF9g6VCDW35uh5yBttppw2yn+C59QkjN46XmB0+S/XoAOPnIBiw/Wf+oUKEta/nXk4saRZO52XJqR42MElVTQ3SNcm56oNcyuaKE/IknnlCrHYQKxKiRAyGU2nkrWwAuOWUmfv12e95rLj5lhux2qeXdFGsIGtVwLBb+9eQqzvHzONT2HrV6NqSMU6VEl/8935s3VbSCYSWj1054hlh+RqhczCIAcizp7MHqwEhYctrghm/NBQA88eEu9IeiaHA7cPEpMzLH5WAU78bIW19mI7VlLf96chXn+HkcWlxf/rOxvtOHZes2lbX7WTZyE9mA8gwKoe/p6htRNaPcqOg1rUCEnEBA8UlSTiudrqnszhENvgDc8K25RQk3H72iGv/qDWBtWlRcNhq9/nDmPI1aHhOQvo/863nSlAZc1HKM7t6jEruf8ZEb5i3X2DZN1TUN0MvwJkJOIKD4JCmu5Gg0wYC2UIoJgJjnq+WAuL7Th0c/P4Qqd2oZV3vvUHou2a1pQlgpyPGIjBglMlP2uF7fYwb0MrxFhXz27Nk5m1RYrVZYLBbEYjF4PB588sknqjaMQFCScucKxbYpVbIIj1E2hihlC9JSUTpkb5SpiGIxc/b4WM5SF8JQ68h37EgV8l+1ahVOOukkfPe73wVFUXjrrbfwz3/+U7MGEgh8ih38lZgr1GKwMkqIUmgL0lA8AX80ju0HhzOZ4IW2x5WDGoaLmRIsszFz9rhZjadKQjK0vnXrVvzqV7/K/L548eJMYXwCQQqlPa5SBn8l5gq1GKyU8srKvebTGjzYGgxmfnfZaAxHYqDSWztxeyxfVOa5l2K4yDk3I4bOpZDbv4q5t1oZNWY1nioJSSF3uVz4y1/+gu985ztgGAavvvpqpuA9gVAINTyuUgZ/JQRSi8FKCa9MiWu+oqUJF3f5cLA/kNp3m2FBp6vdMSyb8cjbfYW36JSi2PtilKkHNeD3r6nVdqxcnJv1nVM7PZHaDXBL90Be7XT+52pxbcxoPFUSkkJ+77334o477sDq1athsVhwyimn4J577tGibQSTY5QEHrkCKeXtqDFYFdrDm6MYr/+Zzbvhj8TzCqIUf82pzA+GZWG1UJjkdRU1Ry51Pac1eLCleyCvrWIhe6NMPahFdv9qbW1FM++c1mxoT6+USMFFRu7a2FER568GZlk2WS6SQj558mQ89thjGBoaIp44oSiMksAjFLb0R+Lo9Yew8IE3MhtnvLJ1X+bvWnh7fA+Tq5nusdsQTiRK8vrbegYEB/tiSpnnCCabKt8K5Ce7uazWzLpn/iApx3ue11iH17d157VVLGSvZ3a0EQSh44BwBKS9d1DTdpiFSo7g8JEU8u3bt2PlypWIRCJ48cUXccEFF+CBBx7A8ccfr0X7CDJRYqBRerAySgIPP2zpslnhj8QzwtnVN4K3O3vhstEIp7czLd2TlY+Qh+l12jDR68rUUS+WcFx4Y+5wXP42om09gzgcisNisQBI7dYWTzIIYXRzFn8kDn8kjkAsDiB/kJTjPW/1DWJyjTtvm02xkL1e2dGGEQTdN5w2F5UewclGUshXr16NRx55BFdffTWOOOII3HbbbVi1ahVeeuklLdo3JihXQJUYaNQYrIxU/jE7bLls3SYEovGcv4diCfgjcTisKfEqxZMtFjU8TJfNCiC/vrvLJn//7XA8dzc1mqIA2gKaojJr5nv9wruucYOknHPb2x8QrMImdv56ZUcbRRDmTKrFp/vz966dO7FO0e8xQvRBCcbS+nZJIQ+HwzjmmNEH5dRTT8Xdd9+taqPGEkoIqBIDjVH3EFaj/KPQA84AYAVcnkKebCkDXrFlXotl/uQ6sCyb5+XOn1wv+zOERJ+mKBxZ686smV/4wBuC7+UGSTnec7Eetl7Z0UYRhBvOnCu4Icz1Z85R7DsME31QgLG0vl1SyGtra7Fjx45McZjXXnsNNTXF7bREEEcJAVVioDHqHsJqGBhCD7iFAhjku99inmwpA16pZV6l4CfMAcD0htytT4tZxjR/cj3CkQgCCSpHMOZPHk1Ckxok5XjPpU6TaC0oRhGERbMa8dB5LaoaMkaJPghRrOE8lta3Swr5bbfdhuuuuw67du3CySefjKOOOgpr167Vom1jglIFVGnPTmiw8kfiiCSSmYQwPUJsahgYQg+422aFy52eI5fhyZYy4KlR5lU0Yc5hQzgunDAnZIRc8fJmTPK6EI4n08YAlWMMCCUHCokbN0jK8Z7Nsv7YSIKghCHDF8R5jXXY6hvE3v4AuvpG0FDlkD3doRWlGM5m6V9KICnkwWAQf/jDHxAKhcAwDDwej9RbCEVQirWvhmfHH6z8kTh6hkOYXOMGw7K6hdjU8IaEHvDvzZuak7XOIXYNSzEw5JR5zd4BS47xJJowVy2eMMd/D3ev+4JRTG/wpI0BNmMMuKz5yYFdfSOSuQpyRMcM648rSRD4Y8eW7gG8vq0bk2tSYwcLCI4leoejS40UmKF/KYGkkN98882IxWJYunQpli5dSoRcYUqx9tXw7PiDVSSRzDzc2WgdYlPLGxJ6wJunNBQcrMuNgkgZJaV4HUoYFH3BVHIcV1MdAKpsdMYYWLZuUyY7PZt231DJ2fVmo1IEgT92cPeeW1rIbevKX2qodzjaKHkKRkVSyP/yl7/gyy+/xN///ndcfPHFqK2txXe/+13813/9lxbtq3hKsfbV2sAje7Ba+MAbYNj85K9yi4CU0iZAG2+o0GCtRBREyiiR63UobVBwAu6w5uYDcPeaDKKVA/9ecvc+mkz95JyC/lBU0V39ysUoeQpGRdY2pkcffTRWrFiBqVOn4plnnsGTTz45ZoVcjaUZxVr7WnRqJUL+SoXj+den2PCzEigRBZEySuQIphoGhcNKI5pIYlyVI+d13L3WcxA1Yn0EtchuZy0Vx1WeSYq3k38vuXvvoEeNOK/ThpOmNBgq2mKkPAUjIink69evx+uvv46tW7fim9/8Jm6++WacdNJJWrTNcBhlaYYWnVqJkD+HkuF4ve6BUlGQQkaJHO9aDYNiXmMdfMMh0dKweg2ietZH0EL8+asNev3hzD3YH4yp0q/595ILpfONOKMJZCXlKaiBpJD/7W9/wznnnIP77rsPNptN6uUVjVGWZmjRqZUK+QPKhmD1ugdqeKWleNdqGhTZ9/rUOk/m73oNonrVR9DCWOR/R3vvUDrMnXvvle7X/Ht50pQGXNRyTNEFlvSgUvIU1EBSyPfv348zzzxTi7YYHiPNFWrRqY0Y8he7B209/aqG29XwSkvxrtW6xvx73draWvDvWqBXfQQtjEX+d3Bz1fwkMzXGFiMIolmmO8yCpJCPGzcOn376KebNmwe73a5FmwwLSbgojBYhWLH17n3BaOY4f120UZPuSvGuV7Q0CVb3MlooVAmUeN5K+QwtDHb+d3Bz1dkrB4DKHFtK2Y6VUBhJIe/o6MAFF1wAAKAoCizLgqIobN++XfXGGQ2ScFEYIbGb21iLZzbvxq3/aFNEUIXuQV8wmjPHx18XLRQaLcUjUNqTKVuoVKwDbwSUMFpKeWaV2hdeagvX7O/g5qr5KwcqcWwR3Y51Q+HtWIkXL46kkP/rX//Soh2mgCRcSJMtdmrMNQrdg5FoAtWO0a6cWRedzPVuuNConkmL5e4//szm3YIbjehRQlPTgTVttARjCazZ0C7bMCzlmS3XYJfTv/jfwU2rNHrdCCcSmFptx8rFpe8noDXF9IWOXpHtWA+Ib8eq1jNbKcaBpJDHYjE8/fTT2Lt3L2655Rb87ne/w8UXXzxmw+xGmF8yC2rNNfLvwbJ1m4TXRdPC66L1SpgrpZwq9z5usOnqH0GDW/8SmloYQ/x90eNJBoFoHIeDUdgslOyQbLHPbLkGu1j/umtjh+xd/FpbW9FsknGm6L5QQiRJjWfWKKuQlEBSyG+//XbU19dj27ZtoGka+/btw0033YR7771Xi/YRTIYeolPsumi9khaf2bw7M5+fHSouVE6VP9iwLLBvKAibxQKGZTOfcdKUBsH3q4UWxlBbz0BOCDYUT4BhAQosbBZadki2FMox2IX6lz8Sx/aDwzj2iNSGU0rs4mcUiu0LcyaKbMc6SXw7VjWeWaOsQlICi9QLtm3bhquuugpWqxUulwt33333mJwfHwtwa5oXPvAGlq3bhPWdvqLff/MbW9DVNwKGZcGyqbrN/khueU+lE3gWzWrE6iUnommcF7SFwrxJdYLlZbnQ6LQG4TLDaicWccKUqaaVFqK2nvxBjYM/2LhsNOJJBuF47mfMbaxVr+ECyC1eU05/4s6Rg8kvNAigcEhWD4T6V18wmjf/DaREw+wUK7I3nDkXk2vcqetBpQzvyTVuXP8t8e1Y1XhmjbQKqVwkPXKKohCLxTLbmA4ODmb+Tagc1NgXXcu6zVLrorPDlnolLfKFafS4+J7n/MEmHE/CZrEgkS6fy3nk7T7heUe1UKNuPB+XzQogWn5jNUaof0XTexfwUVo09JjzLWVf+WK3Y1Xjma2kVUiSQn7hhRdixYoVOHz4MO68805s2LABl112mRZtI2iIGvuiC9VtVjqLXYxCodFS50ClBkmpv4sJk9ie54BwXXTaQsFtteZsM6q1F6FU3fhCzJ9cB5ZlU1MRySSsFgpJhoWF50jwQ7J6JzAtmtWI1u5+PP7hTgyEYqh32zG9wZPnkSu9TbBec75a7CuvRqJxJa1CkhTyc889F3PmzMHHH3+MZDKJxx57DLNmzdKibQQNUSLMJGThZtdtNlJySbEDiVTb5ZwbX5gcNA2XjUYonhAdzPlLsOIMCwsF0fl/tRASx+/Nm5ojVpecMjPTdrF54rd3+mQL14qWJnT1bclEc/yR+Gh+ANjM9WNZNmef9OztaLv6RvD//vgh4kkGoXgC9W4HLjllJm741lyFr9Ao6zt9eGXrPkzwODHB48y0PZpgcs5F6W2C9Zrz1Wo1j9KJxpW0CklSyIeGhnDo0CGcf/75eOyxx/DII4/giiuuQFNTkxbtI2iEWKGVYjwGLbw0vZBqu1giW/a5CQlTsYO5g7YgzuSH4tX0IoSMlCte3gwAOWL1ytZ9aJ7SgEWzGvP6E3euDist+1ylyom6bFb4hkM5+6S/3dmLcVWjCZa9/jAOjIRBgYLDakF/MIpfv90OAKqJudge8R5Hap94tbYJ1nPO16yreczabj6SQn711VfjjDPOAEVRWL9+PS688EKsWrUKzz//vBbtI2gEX4RLERmpgjBdfSNoqNJ/6ZQYhUKyUoNkW8+gYJGL7DAw//rIGcyF1o1z3p1W20wKCRO3Vl+s7fz+xL2eH0mQEq5CA+2ydZsQiOYmUkYTyZycjMPp72UxmimXZFj8+u12vNq+X5XQu1hfCccTmdUJpW4TXIhKmvMlFIekkA8PD+OCCy7AHXfcgXPPPRfnnnsunn32WS3aRtCQUkRG7HPECsKwgOCmIEYYaKRC41KDZDieEPxcfoJb9vWRM5irtfd8MQi1gV9KNPPadNv5/YmiINifihWunOWNAoahw0rnFAJKpqMXVHrxcpJhEWcYxBkoFtLmI0dQ1RDdSprzJRSH5PIzhmHQ0dGBDRs24IwzzsD27duRTAo/xATzwyK1bCwYFRamYgZeoSx2YNQ74zDCQFModA6kBkkhuLaLJay5bOKPmJwlNXotlcv5LoE2OKy04HKq7HYtmtWIF5Z/HR/9YgnOnDkpT8T5r5cib3kj8pc3jqty5BQCoi2p62+lU0KeSK9hs1py70u5y8DWbGzH0Xf8Bd4bXsC7uw6g1x/Oe012P5fqT6XAX4bZNM5bEevUCdJIeuS//OUvcc899+CnP/0pjjzySPzgBz/ADTfcoEXbCBqihvcsJ4vdKMklUqFzqcSY+ZPrwbLImyOfP1m8UIscD8oIXpZQG/ghcg6xdilxHvw8BAtFIZlOHuT6qNdpy5lHnz3Bi52H/aDTUxxciJ3f/nJC2ms2tmfm3YFUxb4ky6KhygGXjRbs52olWlXKnC+hOCSF/Gtf+xqam5uxd+9edHV14Q9/+ANoWny5DMGcqLEGXCqL3UjICXUWGiT5iWwccxtrRbdXlTOYGyGzVqwNxbSr0GfI3X6Wn4fATUskmML5Ams2tuOJD3ehPxSF00qj1mXHJK8r5zXlRDge/3Bn3jGaojAcjqPtmqWi7yOiS1AKSSHfvHkzrr32WtTX14NlWQSDQdx3332YO1e95RsE7VHDezaCNymXctsqlujHXwrFn4+VM5gbYcAXa0Oxa4H56+6LWY4olIdAUxTqXI6C+QI3fGtuJkOd/50c/PtczFr0gZBw0Zp+keMEgtJICvldd92Fxx9/PLN2vL29Hb/61a/w0ksvqd44gnao4T0bwZuUixJt5QvVsnWbBF9nhuV2WlDscsRS8hD4yLnPcgyMbKFn2FR0gOYVqmlwC08/jAX0Lsoz1pAUcgA5BWDmzp1Lkt0qELW851K8yfWdPtz/fjeG/nlQ00FAac+3kmo5q0GxRWNKyUMQQuo+SxkYfKGvc9lxYCQM0JYcMb/4lBlFtatSMFLhp7GCqJB/8sknAIBp06bh1ltvxfe//31YrVb87W9/I2H1CsQo3jM3CARDMVS5raYeBOTMu6vhuazZ2J6uuBbVpJJZqRRbNEYsD0HpqRopA4wv9Nx8+1A4tSdFg9uBi0+ZYchrrgVmLvxkVkSF/KGHHsr5PXvbUrJpSuXCLT/LLqChJFLCVUmDgFSUQw3PhZ9BrUUls1IptmiMVsamlAEmJPSTvC5MqXVn5uq5nd/GYmiZRKK0R1TI161bp2U7CDqjRThMzndU0iAgJTxqGC1CGdQA8MSHuwwn5KUUjdEi8U/KANNi5zfuc8w4z0wqzGlPwTnyTz75BI8++ija21MW/dy5c3HZZZfh5JNP1qRxBO3QwhOW8x1GGgSUGEgLCc/e/oBgffZyjBazZVBnX59l6zYZ4t5LGWBa7Cnwr94Afr/LnPPMZlqtUimICvlHH32Ea6+9FpdeeiluvPFGxONxbNmyBStXrsTatWuxYMECLdtJUBktPGE532GUQUCLCIXLRmPbgfz67I0C+1bLpd7tQH8wX7TNkEFtlHsPlLcNrhLP0t+6huCPsAU34TEqRsm3GUuICvkjjzyCJ554Ascee2zm2HHHHYcTTjgBa9asIZumVBhaeMJyi64AwG/e+gRDrH7V33Sdqy8jPeGSU2bmzJFzmCGD2kwCUEjolXiWOgfD6IuM7nI3uglP8W3VAyPUPhhLiAp5IBDIEXGOOXPmYHh4WNVGEbRHyBvyR+Lo9Ydkb2NayncA+R7XolmNaAhMQXNzc8nfVS5aRCjC8dTGNHyvK5wQrnMvB24enKtkZrYM6koQACUiC9GksDUXjudvYUsgiAp5KBRCIpGA1Zr7kkQigUQZA43ZMWsCihR8b8hls8Ifiefs9VxuaNlMHpeWEQp+cle535FdyYygPYtmNaK1uz+9BDCGercdl5wyU7KfZ48tIzEGSSCvyIxYUZyxQKWOvUogKuSnnXYa1q5di+uvvz5zLJlMYs2aNfjmN7+pRdsMh5ELHSidmCW01zNQfmjZLB6XHK+q3GtupDlhgnKs7/Th95u7EIgmwLIsAtEEfr+5C81TGkT7B39soS1AkgEsFgoMy8JBc8Vv6rU6DUNh5LHXCIgK+TXXXIP/+Z//wVlnnYU5c+YgmUyio6MDTU1N+O1vf6tlGw2DUdc4q9HJK2kZWClIRQ+UuOZmilCMdYox2tZsaM/Z3IWb375rQ4foe/hjS62DRn+Egc1iwfSsbWTHqpFn1LHXKIgKudvtxrPPPovNmzejvb0dFEXhwgsvHNNLz4wqbmp0ciMtA9OLQtEDpa65WSIUpVApodBijbaO3iHBz2k/MCj6HfyxpcpGw+lwqrLlrxnvi1HHXqMgWWu9paUFLS0tWrTF8BhJ3LIfxq7+ETS4HQULaRQLCfsWxkgDixEH5koKhf7/7d17dFTVvQfw78xkMnkMISHhKkHixfIoLAwhrGBaw2UJViXVtkAC1MrLvmyxxgJxeV3LB5rErmLu9UIFrLpysxRboIJNW1EivTWXgsLNIpgUGwygPBJYJCEmE8i87x9hQuadTM6cc/aZ7+cfV4Z45pdzZvbvd/beZ+9hF20RzCyXa8vf/c2teGzPkYEJli3tPTh2vhObF89R9XVRU9urRkPfNoiwZs6kgK8r9YzzqfYeuNz9S6pe+Ooquvu8x7RH8iG/Z2omygpnYVJGCgx6HSZlpKCscNaIv+yepSvzX34P33+zDvubW0d0PKVMHNTd6fW6zA2Lp2GubW7DPy52oba5DY/tOSLLeQ11LauOtKC7z47THRZ8dukrnL6++M1/HzkV9bikNtyibcbNqQFfv31cWtD3kKtt8XT7Wx39G18NdPsfaJL0fcIZbjuglrZXrYa0+5nUamtr8f7776OyshIA0NDQgPLychgMBhQUFODRRx9VIqyw1DKm6XuHkJFswoWvrqK91+p1V67EzmWhaOkubc2cSV53Np5Hx+RuWIYyHhuNO/Zw17LhwpWAcekF3KdhuHeD/3737Tc+G07nwES1JxfMCPoevm1L1qh4/PLekRfOvpouBun2bwve7S+1SNoBtbS9aiV7Ii8rK8PBgwe9nlF/9tlnsWXLFkyYMAE/+clPcOLECUyfPl3u0IZEDWOavncI/ck7KSrjaVLS7IQVBXNTuPHYaBVP4a7lNXvgR1Sv2cXbAnm4w0z3TM3E5sVzhp10Brct9fX1mB2N70R09kIalkjbATW0vWoleyLPzc3F3XffjZ07dwLoX3jGZrMhKysLQP9jb4cOHVJtIlcDucbTpKamceWRqjrSgpQEo9+8hHCNkeR3x2GKiGgVT+GuZbDnnRON4o3mRXI3qNakM2NcKv7vXIff67ffHLzbX2paagfUImqJfPfu3aiurvZ6raKiAoWFhfjkk08GXrNYLDCbb4w3Jicn49y5c2GP39QU3TGd+vr6qB5/JArS3Pj07FW/1+9MM6s67lSdHed6bX6vZ42KDxi3mv+WprOXEGiNraZzV4PG/XGbBS98fAFXrE44XcCxCx34n+bzeDp/PPLHBR5zD+dfzXE40eE9N8LpBkx64Pby3ThvsWG0KQ7JPgk0VJweof493LW8NVGHa316dFmdsDvdMBp0SDUZcGuSLuRxP26z4E+nunDBYsN4czwe+FpqxOdGSukA1k9PAnB9HXxLG+rr26L6ntH4/BfdmoAzl/2vy5JbTSE/t1Jek+G2A0pSWzzBRC2RFxcXo7i4OOzvmc1m9Pb2Dvzc29uLlJSUsP/fjBkzYDJFZyOI+vp6RZcHDWc2gMmTW4UYLxp8B5poTIBT7/a7i/3lvbP8uhHVfg1mnOgNOG46KSMlaNwPb6pBR19/17JOB7jcQEefE6991o2198+LKI5y8ziv8Vi9Tge304WMUUlITDDCcM2Fjj4nEkzeTzWEihMIf/7XmccF7G72XEvPv/9LkH8PZH9zK7Y03ph30HbNhS+uXsHkyZNV+dmOpmh9/ofbduxvbr2+C1scEpPi0OkCqj+3jOiahPvsqIXa2iCr1Rr0BlaRyW6Dmc1mGI1GnD17FhMmTMDBgwcVney2v7kV/3HwPLr+95JqHuUJRK1dd4P5js96lns1m4y4ZncMNCJA/0pyg7ub0xWJeOgieTzv5OXAXYfNl7sjjsN3PLat+xoS4gwDSTuaEyGB4N3NkXRHR7KQilzU+IhfpMK1HYP/1os93p8nj5EMzXDimvQUT+QAsHHjRmzYsAFOpxMFBQWYOXOmInF4Ek/vVRuSk+KEnlWtBoHGZ1MSjLh5VOLAWH6wyVirJpuhnlrYXySNkdMdeKZRsNeDCZRUPOcz/+X34Bp0vGhOhAyXEIZbbDa1dcHpcsPhcsMNN3TQIU6vC7mQihy09LRFOL5/640tcZO8kvlIx7OVuhHRUkE2mCKJ/I477vDazzwnJwe7du1SIhQvmp1VrZChTGoJds7/fLoLa6MSlXSG2xiNSYxHx1X/vcLHJMUP+RjhkoqoEyEBwO5ywe66MfPADTfsLjfsTmV3/IqldsH3bzXFGWB1OP16dERciEXLBZl4U0ijiLMpR27wQg8Xe675LVIDeDcCwc75BYv/ZBjRlcybBqNBD931qeY66GA06FHyb/7bBQcTKqkAYi+ckRAXeKZ7gsI7fsVSu+D7t2Yk989Dsjq9HxsU4fPkK9x3R2Sq6FpXCy0tA6hEF5JvxZsQZ7g+5pkUdHw22Dkfbx76XaoopNgrPFxSEXn8MS3JhG6rHQ7noK51gw5jEqMzqXWotNQuhOP7t3qGZqwOl6rXqBgKLRdkTOSDaGV9caW6kHwr3qE0AsHO+f23BV7mUnQj3St8KElFhImQgeSMT4Pb7fZbEU3prTtFaheisbVuSoJRkuWZlablgoyJfBDPB/U/PziKLre41adSY3qBKt6UBCMMeh0OlxQG/H+C3UGmW6L7jK6oREoqw7VmziScaj/mN0Na6b9NlF4Obq0bmpa/O0zkPu6Zmol0yy2qen5wuCLtQhppNT8x3Yxj5zv91h/PveXGw2TB3sP3faK92IaotNbQ+n4eFmVnobG1S3V/mwi9HNxaNzStfXcGYyJXQLTHryPpQpKims/OTMOf/3F+4GfPc8Crrle8os8aVcujK1ppaEXdUlOttDwGLBWtfHd8cda6zHy3IPUkMym3nYxk5rIUMzo/bb2C8aOTYIozALr+R1fGj05CY2vXiN5DDVufynHdhhOL0udDCkG31PxQ3i01tUItW+uS/HhHLjM5xq8j6UKSopo/02EJuJGI5xiRvIda7uLlmnfw4oFGvHroJDqvWjEmyYSffnOK1+Q4tZwPKYTbuY2G4ddAQQAAEL9JREFUR8tjwBQaE7nM5Or+Gm4XkhQzOsMdI5L3UMtiHHJctxcPNKKitnHg545e68DPnmSulvMhCfG2Jlc1LY8BU2hM5DJT6yMQUlTz4Y4RyXuoZdxPjuv26qGTAV//r7rP8GnrFZzpsOBURw/Sk0xBez1EMuPmIFtqjpNvS02t0dIYsFrmpIiAiVxmau3+kqKaj8ZGGmopfOS4bp0Blm91ut3o6LUOnAO3GwEX2VG6EIzEv999u9fObZ7nxp9cMGPgd3wb8+zMtIGiho27dmlpCEkOTOQyU1P3V6jNNyIl9UYaail85LhuY5JMgzap6OdwumHQ35iTGq3dzJTgu3Ob7zn1bcyPne/En/9xHuNH9xcxbNy1S1NDSDJgIleAGrq/RKl4AyXQ2zNTUXWkBc/sa5D1rkyK6xaqu/Cn35ziNUYO9G8cMjY5YeDnaO5mpoRQ59S3MW+/XuT4FjFs3LVHLUNqomAiF4TU40UiVbyDG3tRCpBAwsUeaC32lIS4/sf5BhFlN7OR8m3MBz+m5vV7UV7oiOSnliE1UTCRCyAayUvUilekAsTXUGL3XYvd99p7iNiVPly+jblnS03fwibaCx0pJZYLELUMqYmCC8IIIBrb74m6eISoBQgQWez3TM1EWeEsTMpIgUGvw6SMFE1sYDEUvgsbebbU9PzXI9oLHSnh4zaLahYgUkIsf+4jwTtyAQRKAN19dtSebEX+y+9JtssRoP6KV+Qut0hjV8OcCiX4zo/IvSUdq+Z8bVhrsYta+P3pVBcCNc8i9DxJJVY/95FgIheAbwLo7rPjwldXYYozeFXrgPZ3ORK1AAGGFrtI3alyxDrSxlzUwu+CxYbEJP/mWe0FCCmDiTwMNTSsvgnAM3vXt4sxFnY5ErUAAcLHLtJ4riixilr4jTfHo9Pl/7raCxBSBhN5CGpprHwTgE6HgWdpB4uVal3EAsRjOI9beaixO1WUWEUt/B74WiqqP/cfFlB7AULKYCIPQU2N1eAE8P0364TsLqTQRBrPFSlWEQu//HFmTJ48WbgChJTBRB6CWhsrUbsLKTSRxnNFilVUIhYgpAw+fhaCWh/RCvRoxqLsLFQdaRF+j+pYFsk+8koRKVYireMdeQhqvvPVympndINI47kixUqkdUzkIYjSWKlpLJ9GRqTuVJFiJdIyJvIwRGis1DqWT6QVangMdShEiZOkxUSuAZx4RBQ9ogxdBYrzsT1HMC4lEdfsTiZ2DeNkNw3gxCOi6BFlvXbfOD0rQDa2dcXkeu2xhHfkGiDKWD6RiEQZuvKN07MCpO+2r5w7oz1M5Bohwlg+kYhEGbryjdOTwH23fVVbASInrc4hYNc6acL+5lZ8/806PkdPkhNl6GrNnEno7rPjdIcFn136CnaXG063229PBrUVIHLxzCHQ4tawvCMXhFYrSSlwkg9Fk6hDVyaDHnan/84raitA5KLlx3SZyAUgyqzZQOQoQIJN8mnvteK2692NopwvUicRhq6qjrQgJcHotZlSd58dVocLBr1OmAIkWkSZ6xAJJnIBiFpJylWABJ3k41T/JB8pCh321hAQOFGlJBhh0OtwuKRQgYjURZS5DpFgIheAqJWkXAVI0Ek+BnVP8pGi0OGwgjLUWDxpOVFJQc1Lbo8UJ7sJQK2bt4QjVwHiOxnJM0tX7ZN8pHg+mc8Oy0+tk6ZEmZSnlECbTZUVzlK8AJMC78gFIGolKdcdgu9kpOxxaWjtvuo1Vgio73xJUeiIPKwgKrUOdYk6KU9OIsx1iAQTuQBE/YLKWYD4fkH3N7eq/nxJUeiIOqwgMjUPdWk1UVFoTOSCEPELqmQBIsL5kqLQ8T2GKc4Aq8Op+mEFkXEsmtSGiZyiSoSEqhQpCh1RhxVEJupQF2kXEzlRhKSYuSxFoSPisILIRB3qIu1iIieKgJoX6YlGL4gaH7dSEnuaSE34+BlRBETZ2lIKan3cioj6MZETRUDNM5elFktFC5GImMiJIiDqIj2RiKWihUhETOREEYilVbRiqWghEhETOVEEtLzco69YKlqIRMRZ66QJSsyqjpWZy3zcikjdmMhJeGp+FEwrYqVoIRIRu9ZJeJxVTUSxjHfkJCspusB9j9Fw4QpGmfw/ypxVTUSxgImcZCNFF3igY1y29MHtNvmtL85Z1UQUC9i1TrKRogs80DEykk0D+3APxlnVRBQLeEdOspFiYZFAx0hJMEKvAyZlpHBWNRHFHFkTeU9PD0pLS2GxWGC32/Hkk09i1qxZaGhoQHl5OQwGAwoKCvDoo4/KGRbJRIp9nIMdI2d8Ot5eMXdE8RERiUjWrvWqqirk5+fjrbfewosvvojnn38eAPDss8+isrISv/vd73D8+HGcOHFCzrBIJlIsLMLFSYiIvMl6R7569WrEx8cDAJxOJ0wmEywWC2w2G7KysgAABQUFOHToEKZPny5naCQDKRYW4eIkRETeopbId+/ejerqaq/XKioqkJ2djcuXL6O0tBRPPfUULBYLzOYbazknJyfj3Llz0QqLFCbFwiJcnISI6Aad2+12y/mGzc3NWLduHZ544gnMmzcPFosFS5cuxXvvvQcAqK6uhsPhwA9/+MOA/7/VakVTU5OcIRMREanCjBkzYDKZvF6TtWu9paUFJSUlePnll/H1r38dAGA2m2E0GnH27FlMmDABBw8eHNJkt0B/jFTq6+sxe/bsqBybhobXQFk8/8ri+Vee2q5BqJtYWRN5ZWUlbDYbysvLAfQn8W3btmHjxo3YsGEDnE4nCgoKMHPmTDnDIiIiEpasiXzbtm0BX8/JycGuXbvkDIWIiEgTuLIbERGRwJjIiYiIBMZETkREJDCutU5EkpBii1otxUEkFyZyIhoxKbao1VIcRHJi1zoRjZgUW9RqKQ4iOfGOnIhGTIotauWKg13vpDW8IyeiEZuYbg78+jC2qJUjDk/X+6n2Hrjc7oGu9/3NrXKGSSQpJnIiGjG1bC8bLg52vZMWsWudiEZMLdvLhotDLUMARFJiIiciSahle9lQcUxMN+NUu3/SlnsIgEhK7FonopihliEAIinxjpyIYoZahgCIpMRETkQxRS1DAERSYdc6ERGRwJjIiYiIBMZETkREJDAmciIiIoExkRMREQmMiZyIiEhgTOREREQCYyInIiISmHALwrjdbgCAzWaL6vtYrdaoHp/C4zVQFs+/snj+laema+DJeZ4cOJjOHehVFevp6cHJkyeVDoOIiEh2U6ZMwahR3pv8CJfIXS4Xent7YTQaodPplA6HiIgo6txuN+x2O5KTk6HXe4+KC5fIiYiI6AZOdiMiIhIYEzkREZHAmMiJiIgExkROREQkMCbyAHp6evDII4/goYcewrJly3Ds2DGlQ4pJtbW1WL9+vdJhxBSXy4VnnnkGy5Ytw4oVK/Dll18qHVJMOn78OFasWKF0GDHHbrejtLQUDz74IIqKinDgwAGlQxoS4RaEkUNVVRXy8/OxevVqnD59GuvXr8fevXuVDiumlJWV4eDBg5g2bZrSocSUDz/8EDabDTt37kRDQwN+9atfYdu2bUqHFVNee+011NTUIDExUelQYk5NTQ1SU1OxadMmdHV14Xvf+x4WLFigdFhh8Y48gNWrV2P58uUAAKfTCZPJpHBEsSc3NxfPPfec0mHEnPr6esydOxcAkJOTg6amJoUjij1ZWVnYsmWL0mHEpPvuuw8lJSUA+p/bNhgMCkc0NDF/R757925UV1d7vVZRUYHs7GxcvnwZpaWleOqppxSKTvuCnf/CwkJ88sknCkUVuywWC8xm88DPBoMBDocDcXEx31TI5t5778X58+eVDiMmJScnA+j/Hjz22GN4/PHHFY5oaGL+21lcXIzi4mK/15ubm7Fu3To88cQTmDNnjgKRxYZg55+UYTab0dvbO/Czy+ViEqeY0tbWhrVr1+LBBx/EAw88oHQ4Q8Ku9QBaWlpQUlKCyspKzJs3T+lwiGSTm5uLuro6AEBDQwOmTJmicERE8mlvb8fDDz+M0tJSFBUVKR3OkLHUDqCyshI2mw3l5eUA+u9SOOGHYsG3vvUt/P3vf8fy5cvhdrtRUVGhdEhEstm+fTu6u7uxdetWbN26FUD/5MOEhASFIwuNa60TEREJjF3rREREAmMiJyIiEhgTORERkcCYyImIiATGRE5ERCQwJnIiiroVK1YMa6W+LVu2cJlSoiFiIiciIhIYF4QhEpzD4cBzzz2Hzz//HO3t7Zg4cSJ+85vfYNeuXXjrrbcwatQo3HbbbcjKysIvfvEL1NXVYfPmzXA4HLjlllvwwgsvIC0tLejxq6qqsHfvXuj1emRnZ+P555+H1WrFxo0bUV9fD6PRiJ///OcoLCzEvn37UFVVhb6+PlitVpSVlSEvL8/reL/97W+xb98+OJ1OFBQUoLS0FDqdDq+//jp27dqFtLQ0pKSkIDs7O9qnjkgTeEdOJLhjx47BaDRi586dqK2thdVqxeuvv44dO3Zgz549ePvttwf2Fe/s7ERlZSXeeOMNvPvuuygoKMBLL70U9NgOhwOvvvoq3nnnHezZswc6nQ6XLl3Cm2++iatXrw4k7ldeeQU2mw2///3vsX37dtTU1ODHP/4x3njjDa/j1dXVoampCX/4wx/w7rvv4tKlS6ipqUFjYyPeeecd7N27F1VVVbh48WJUzxmRlvCOnEhweXl5SE1NxY4dO3D69Gl88cUXuOOOO3DXXXcN7GT27W9/G93d3Th+/Dja2tqwcuVKAP2boowePTrosePi4jBr1iwUFRVhwYIF+MEPfoCbbroJR48exdKlS6HX6zF27Fj85S9/AQC88sor+Otf/4ozZ87gyJEj0Ou97xUOHz6MTz/9FIsXLwYA9PX1ITMzE+3t7Zg3b97A7lP33XcfXC6X5OeKSIuYyIkEd+DAAWzevBkrV67E4sWLceXKFYwaNQrd3d1+v+t0OpGbm4vt27cDAKxWq9duZ4Fs3boVDQ0NqKurw49+9CO89NJLfjuiffnll0hPT8eSJUvw3e9+F3l5eZg6dSp27Njh9/6rVq3CmjVrAADd3d0wGAzYuXOnV+KOi4uDzWaL6HwQxRp2rRMJ7vDhw1i4cCGWLFmCjIwMHD16FADw0UcfwWKxwGazYf/+/dDpdJg5cyYaGhpw5swZAP1J+te//nXQY3d2dmLhwoWYMmUKSkpKcOedd6K5uRl5eXnYt28f3G43Ojo68NBDD+HEiRPQ6/V45JFHkJ+fj7q6OjidTq/j5efn449//CN6e3vhcDiwdu1afPDBB/jGN76Bv/3tb+jp6YHVakVtbW30ThiRxvCOnEhwxcXF2LBhA95//33Ex8cjJycHnZ2dWLlyJZYtW4akpCSkpaXBZDJh7NixqKiowOOPPw6Xy4WbbroJmzZtCnrsMWPGYPny5SgqKkJiYiLGjRuHRYsWIT4+HmVlZfjOd74DAHj66acxe/ZsTJs2DQsXLkRCQgLy8vLQ2trqdbz58+fjn//8J5YuXQqn04m5c+di0aJF0Ol0WLVqFYqKipCSkoLMzMyonjMiLeHuZ0QadObMGXz00UdYvXo1AOBnP/sZiouLMX/+fGUDIyLJ8Y6cSIPGjx+PxsZG3H///dDpdCgoKMBdd90V9PfXr1+PlpYWv9fnz5+PkpKSaIZKRCPEO3IiIiKBcbIbERGRwJjIiYiIBMZETkREJDAmciIiIoExkRMREQmMiZyIiEhg/w8cHAcSXedmpgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# and let's plot the predictions\n", "performance = pd.DataFrame()\n", "performance[\"residuals\"] = model.predict(x) - data.bounce_time\n", "performance[\"age_scaled\"] = data.age_scaled\n", "performance[\"predicted\"] = model.predict(x)\n", "\n", "ax = sns.residplot(x = \"age_scaled\", y = \"residuals\", data = performance, lowess=True)\n", "ax.set(ylabel='Observed - Prediction')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The residuals are much better than before, being more evenly distributed with respect to age, and if we look at the predictions with each county:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data_new[\"y_predict\"] = model.predict(x)\n", "grid = sns.lmplot(x = \"age_scaled\", y = \"y_predict\", col = \"county\", sharey=False, col_wrap = 4, data = data_new, height=4)\n", "grid.set(xlim=(-3,3))" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MethodRMSE
0Linear Regression14.928334
1Fixed8.563396
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" ], "text/plain": [ " Method RMSE\n", "0 Linear Regression 14.928334\n", "1 Fixed 8.563396" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# and let's store the rmse\n", "y_predict = model.predict(x)\n", "RMSE = sqrt(((y-y_predict)**2).values.mean())\n", "results.loc[1] = [\"Fixed\", RMSE]\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can se that the coefficient for the gradient given to age is substantially smaller, and is likely no longer significant. Let's just check that by making a table of the coefficients:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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01
0age_scaled0.048782
1devon-21.381957
2cumbria9.391460
3norfolk9.824419
4kent7.938668
5dorset-2.079637
6london-21.437323
7cheshire18.372916
8essex-0.628546
\n", "
" ], "text/plain": [ " 0 1\n", "0 age_scaled 0.048782\n", "1 devon -21.381957\n", "2 cumbria 9.391460\n", "3 norfolk 9.824419\n", "4 kent 7.938668\n", "5 dorset -2.079637\n", "6 london -21.437323\n", "7 cheshire 18.372916\n", "8 essex -0.628546" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# coefficient for age and the counties\n", "pd.DataFrame.from_records(list(zip(np.concatenate(([\"age_scaled\"],counties)), model.coef_)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But what model have we actually fitted here? Is it what we wanted to investigate initially? The model is estimating the difference in bounce times between the counties now as well, and we aren't actually interested in that. If you were then this is correct to do so, but the website company just wanted to know whether age affects the bounce times. And by including county in we are obscuring this. So to look at the impact of age on bounce times we need to control for the variation between the different counties (as well as between the locations). So to do that, we have to treat our counties as **random effects**, and build a **mixed effect model**!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mixed effects models\n", "\n", "As we have discussed above, a mixed effects model is ideal here as it will allow us to both use all the data we have (higher sample size) and better acknowledge the correlations between data coming from the counties and locations. We will also estimate fewer parameters and avoid problems with multiple comparisons that we would encounter while using separate regressions.\n", "\n", "So in this model we treat our `age`, which is what we are interested in, as a **fixed effect**, and `county` and `location` as a **random effect**.\n", "\n", "But what does that mean? Well it's sort of a middle ground here between assuming our coefficient for the gradient and intercept are all the same (what we did in the first regression) and assuming they are all independent and different. If we look back at our equations, we now may assume that while $b_0$ and $b_1$ are different for each county, the coefficients all come from a common group distribution, such as a normal distribution:\n", "\n", "$$\n", "\\begin{align*}\n", "time_c = b_{c0} + b_{c1}.age \\\\ \\\\\n", "b_{c0} \\sim N(\\mu_{b_0}, \\sigma^2_{b_0}) \\\\\n", "b_{c1} \\sim N(\\mu_{b_1}, \\sigma^2_{b_1})\n", "\\end{align*}\n", "$$\n", "\n", "So we now assume the intercepts $b_0$ and gradients $b_1$ come from a normal distribution centered around their respective group mean $\\mu$ with a certain standard deviation $\\sigma^2$, the values of which we also estimate." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fixed vs random?\n", "\n", "So what makes a variable a fixed or random effect. Hmmm, it's tricky and there are lots of answers out there. In brief, we view fixed effects as the variables that we are interested in. We wanted to know about age so we recorded data on that and wanted to see how it impacted the response variable. County was not we were interested in, but we recorded it as we were aware that our sampling methodology could lead to clustering in our data that could invalidate the linear model from before. If we hadn't recorded that someone who was given this dataset to analyse may have incorrectly said that age was an important predictor of bounce rate.\n", "\n", "Random effects are often our groups we are trying to control for, like county in our example. In particualr twe control for counties when we have not exhausted all the available groups - we only had 8 counties in England. If we wanted to make predicitons about the counties, then we would have tried to sample them better firstly, and also treat them as a fixed effect. \n", "\n", "Further reading for those who want a better answer!:\n", "\n", "https://dynamicecology.wordpress.com/2015/11/04/is-it-a-fixed-or-random-effect/\n", "\n", "And see the discussion in the paper linked in the take home challenge 3. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting our mixed effect lm\n", "\n", "We will now fit our model using the `statsmodels` library. In this initial model we will look at how the bounce time relates to the scaled ages, while controlling for the impact of counties by allowing for a random intercept for each country, i.e. we are saying that each county has its own random intercept but that the slopes are still the same with respect to age." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Mixed Linear Model Regression Results\n", "=========================================================\n", "Model: MixedLM Dependent Variable: bounce_time\n", "No. Observations: 480 Method: REML \n", "No. Groups: 8 Scale: 74.7350 \n", "Min. group size: 60 Log-Likelihood: -1733.0397 \n", "Max. group size: 60 Converged: Yes \n", "Mean group size: 60.0 \n", "---------------------------------------------------------\n", " Coef. Std.Err. z P>|z| [0.025 0.975]\n", "---------------------------------------------------------\n", "Intercept 201.316 5.175 38.902 0.000 191.174 211.459\n", "age_scaled 0.136 0.612 0.221 0.825 -1.065 1.336\n", "Group Var 212.999 13.382 \n", "=========================================================\n", "\n" ] } ], "source": [ "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "\n", "# construct our model, with our county now shown as a group\n", "md = smf.mixedlm(\"bounce_time ~ age_scaled\", data, groups=data[\"county\"])\n", "mdf = md.fit()\n", "print(mdf.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this summary of the model, we can clearly see that the `age_scaled` is having a more noticable impact than in the fixed model earlier (coefficient of 0.136 rather than 0.048), however, importantly it is still not significantly different to 0, with the 95% interval for this coefficient spanning -1.065 - 1.336.\n", "\n", "And let's look at the predictions." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# and let's plot the predictions\n", "performance = pd.DataFrame()\n", "performance[\"residuals\"] = mdf.resid.values\n", "performance[\"age_scaled\"] = data.age_scaled\n", "performance[\"predicted\"] = mdf.fittedvalues\n", "\n", "sns.lmplot(x = \"predicted\", y = \"residuals\", data = performance)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = sns.residplot(x = \"age_scaled\", y = \"residuals\", data = performance, lowess=True)\n", "ax.set(ylabel='Observed - Prediction')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'y' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# and let's store the rmse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0my_predict\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmdf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfittedvalues\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mRMSE\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msqrt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0my_predict\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mresults\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mloc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"Mixed\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mRMSE\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mresults\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'y' is not defined" ] } ], "source": [ "# and let's store the rmse\n", "y_predict = mdf.fittedvalues\n", "RMSE = sqrt(((y-y_predict)**2).values.mean())\n", "results.loc[2] = [\"Mixed\", RMSE]\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Huh, that's strange - it's very similar. In fact the residuals plot looks alomst identical to the previous one where we were treating the county as a fixed effect. Why? \n", "\n", "Well, have a think about what we have actually just implemented. All we have done is say in the last one that the county has a randome intercept, but the same slope. This is very similar to the fixed effect approach, where county was included as a term that would impact the intercept. All we have changed is sayng that the intercepts for each county are probably drawn from a similar distribution. To ensure that each county has its own random slope we need to include this in our random effects forumla, like so:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n", " ConvergenceWarning)\n", "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/regression/mixed_linear_model.py:2202: ConvergenceWarning: Retrying MixedLM optimization with lbfgs\n", " ConvergenceWarning)\n", "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n", " ConvergenceWarning)\n", "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/regression/mixed_linear_model.py:2202: ConvergenceWarning: Retrying MixedLM optimization with cg\n", " ConvergenceWarning)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Mixed Linear Model Regression Results\n", "====================================================================\n", "Model: MixedLM Dependent Variable: bounce_time\n", "No. Observations: 480 Method: REML \n", "No. Groups: 8 Scale: 72.8722 \n", "Min. group size: 60 Log-Likelihood: -1733.3946 \n", "Max. group size: 60 Converged: No \n", "Mean group size: 60.0 \n", "--------------------------------------------------------------------\n", " Coef. Std.Err. z P>|z| [0.025 0.975]\n", "--------------------------------------------------------------------\n", "Intercept 202.140 8.356 24.190 0.000 185.762 218.518\n", "age_scaled 0.161 1.196 0.134 0.893 -2.184 2.505\n", "Group Var 558.143 \n", "Group x age_scaled Cov -51.614 \n", "age_scaled Var 8.621 \n", "====================================================================\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n", " ConvergenceWarning)\n", "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/regression/mixed_linear_model.py:2206: ConvergenceWarning: MixedLM optimization failed, trying a different optimizer may help.\n", " warnings.warn(msg, ConvergenceWarning)\n", "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/regression/mixed_linear_model.py:2218: ConvergenceWarning: Gradient optimization failed, |grad| = 7.170191\n", " warnings.warn(msg, ConvergenceWarning)\n", "/Users/gureckis/.virtualenvs/science/lib/python3.7/site-packages/statsmodels/regression/mixed_linear_model.py:2261: ConvergenceWarning: The Hessian matrix at the estimated parameter values is not positive definite.\n", " warnings.warn(msg, ConvergenceWarning)\n" ] } ], "source": [ "# construct our model, but this time we will have a random interecept AND a random slope with respect to age\n", "md = smf.mixedlm(\"bounce_time ~ age_scaled\", data, groups=data[\"county\"], re_formula=\"~age_scaled\")\n", "mdf = md.fit()\n", "print(mdf.summary())" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# and let's plot the predictions\n", "performance = pd.DataFrame()\n", "performance[\"residuals\"] = mdf.resid.values\n", "performance[\"age_scaled\"] = data.age_scaled\n", "performance[\"predicted\"] = mdf.fittedvalues\n", "\n", "sns.lmplot(x = \"predicted\", y = \"residuals\", data = performance)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = sns.residplot(x = \"age_scaled\", y = \"residuals\", data = performance, lowess=True)\n", "ax.set(ylabel='Observed - Prediction')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'y' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# and let's store the rmse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0my_predict\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmdf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfittedvalues\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mRMSE\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msqrt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0my_predict\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mresults\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mloc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"Mixed_Random_Slopes\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mRMSE\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mresults\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'y' is not defined" ] } ], "source": [ "# and let's store the rmse\n", "y_predict = mdf.fittedvalues\n", "RMSE = sqrt(((y-y_predict)**2).values.mean())\n", "results.loc[3] = [\"Mixed_Random_Slopes\", RMSE]\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "\n", "So our mixed model with the random slopes is now performing much better, with our residuals much better ditributed. Crucially though, we can see that age does not impact the bounce rate, with the confidence intervals for the gradient with respect to age spanning -2.184 - 2.505 after we have controlled for the random variation caused by the county properly, i.e. with a random slope and intercept. \n", "\n", "```\n", "--------------------------------------------------------------------------\n", " Coef. Std.Err. z P>|z| [0.025 0.975]\n", "--------------------------------------------------------------------------\n", "Intercept 202.140 8.356 24.190 0.000 185.762 218.518\n", "age_scaled 0.161 1.196 0.134 0.893 -2.184 2.505\n", "Intercept RE 558.143 \n", "Intercept RE x age_scaled RE -51.614 \n", "age_scaled RE 8.621 \n", "==========================================================================\n", "```\n", "\n", "What we have seen in our data was that individuals in certain counties took longer on the website, and that they happened to also be old. However, to get to this distinction we had to first treat county as a random effect. But what about location? Eh? Forgot about that. See the take home material 4. for that one." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "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": "3.7.3" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }