{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "If you were to pick the three most ridiculous fads of 2017, they would definitely be fidget spinners (are they still cool? Do kids still use that word \"cool\"?), artificial intelligence and, yes, cryptocurrencies. Joking aside, I'm actually impressed by the underlying concept and I'm quite bullish on the long term prospects of this disruptive technology. But enough about fidget spinners!!! I'm actually not a hodler of any cryptos. So, while I may not have a ticket to the moon, I can at least get on board the hype train by successfully predicting the price of cryptos by harnessing deep learning, machine learning and artificial intelligence (yes, all of them!).\n", "\n", "I thought this was a completely unique concept to combine deep learning and cryptos (blog-wise at least), but in researching this post (i.e. looking for code to copy+paste), I came across [something quite similar](http://www.jakob-aungiers.com/articles/a/Multidimensional-LSTM-Networks-to-Predict-Bitcoin-Price). That post only touched on Bitcoin (the most famous crypto of them all), but I'll also discuss Ethereum (commonly known as ether, eth or lambo-money). And since Ether is clearly superior to Bitcoin ([have you not heard of Metropolis?](https://ethereumprice.org/ground-breaking-metropolis-release-flying-radar/)), this post will definitely be better than that other one (though [this project](https://github.com/llens/CryptoCurrencyTrader) includes Ether).\n", "\n", "We're going to employ a Long Short Term Memory (LSTM) model; it's a particular type of deep learning model that is well suited to time series data (or any data with temporal/spatial/structural order e.g. movies, sentences, etc.). If you wish to truly understand the underlying theory (what kind of crypto enthusiast are you?), then I'd recommend [this blog](http://colah.github.io/posts/2015-08-Understanding-LSTMs/) or [this blog](http://blog.echen.me/2017/05/30/exploring-lstms/) or the [original (white)paper](http://www.bioinf.jku.at/publications/older/2604.pdf). As I'm shamelessly trying to appeal to a wider non-machine learning audience, I'll keep the code to a minimum. There's a Jupyter (Python) notebook available [here](https://github.com/dashee87/blogScripts/blob/master/Jupyter/2017-11-20-predicting-cryptocurrency-prices-with-deep-learning.ipynb), if you want to play around with the data or build your own models. Let's get started!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data\n", "\n", "Before we build the model, we need to obtain some data for it. There's a [dataset on Kaggle](https://www.kaggle.com/mczielinski/bitcoin-historical-data) that details minute by minute Bitcoin prices (plus some other factors) for the last few years (featured on that [other blog post](http://www.jakob-aungiers.com/articles/a/Multidimensional-LSTM-Networks-to-Predict-Bitcoin-Price)). Over this timescale, noise could overwhelm the signal, so we'll opt for daily prices. The issue here is that we may have not sufficient data (we'll have hundreds of rows rather than thousands or millions). In deep learning, no model can overcome a severe lack of data. I also don't want to rely on static files, as that'll complicate the process of updating the model in the future with new data. Instead, we'll aim to pull data from websites and APIs.\n", "\n", "As we'll be combining multiple cryptos in one model, it's probably a good idea to pull the data from one source. We'll use [coinmarketcap.com](https://coinmarketcap.com). For now, we'll only consider Bitcoin and Ether, but it wouldn't be hard to add the [latest overhyped altcoin](https://coinmarketcap.com/currencies/iota/) using this approach. Before we import the data, we must load some python packages that will make our lives so much easier." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DateOpenHighLowCloseVolumeMarket Cap
02017-11-218205.748348.667762.718071.264277610000136967000000
12017-11-208039.078336.867949.368200.643488450000134167000000
22017-11-197766.038101.917694.108036.493149320000129595000000
32017-11-187697.217884.997463.447790.153667190000128425000000
42017-11-177853.578004.597561.097708.994651670000131026000000
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" ], "text/plain": [ " Date Open High Low Close Volume Market Cap\n", "0 2017-11-21 8205.74 8348.66 7762.71 8071.26 4277610000 136967000000\n", "1 2017-11-20 8039.07 8336.86 7949.36 8200.64 3488450000 134167000000\n", "2 2017-11-19 7766.03 8101.91 7694.10 8036.49 3149320000 129595000000\n", "3 2017-11-18 7697.21 7884.99 7463.44 7790.15 3667190000 128425000000\n", "4 2017-11-17 7853.57 8004.59 7561.09 7708.99 4651670000 131026000000" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "import time\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import datetime\n", "import numpy as np\n", "\n", "# get market info for bitcoin from the start of 2016 to the current day\n", "bitcoin_market_info = pd.read_html(\"https://coinmarketcap.com/currencies/bitcoin/historical-data/?start=20130428&end=\"+time.strftime(\"%Y%m%d\"))[0]\n", "# convert the date string to the correct date format\n", "bitcoin_market_info = bitcoin_market_info.assign(Date=pd.to_datetime(bitcoin_market_info['Date']))\n", "# when Volume is equal to '-' convert it to 0\n", "bitcoin_market_info.loc[bitcoin_market_info['Volume']==\"-\",'Volume']=0\n", "# convert to int\n", "bitcoin_market_info['Volume'] = bitcoin_market_info['Volume'].astype('int64')\n", "# sometime after publication of the blog, coinmarketcap starting returning asterisks in the column names\n", "# this will remove those asterisks\n", "bitcoin_market_info.columns = bitcoin_market_info.columns.str.replace(\"*\", \"\")\n", "# look at the first few rows\n", "bitcoin_market_info.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DateOpenHighLowCloseVolumeMarket Cap
02017-11-21367.44372.47350.69360.4094991200035220200000
12017-11-20354.09372.14353.29366.7380702700033933400000
22017-11-19347.40371.29344.74354.39118153000033284900000
32017-11-18331.98349.62327.69347.6164963900031800700000
42017-11-17330.17334.96327.52332.3962173300031620300000
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" ], "text/plain": [ " Date Open High Low Close Volume Market Cap\n", "0 2017-11-21 367.44 372.47 350.69 360.40 949912000 35220200000\n", "1 2017-11-20 354.09 372.14 353.29 366.73 807027000 33933400000\n", "2 2017-11-19 347.40 371.29 344.74 354.39 1181530000 33284900000\n", "3 2017-11-18 331.98 349.62 327.69 347.61 649639000 31800700000\n", "4 2017-11-17 330.17 334.96 327.52 332.39 621733000 31620300000" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# get market info for ethereum from the start of 2016 to the current day\n", "eth_market_info = pd.read_html(\"https://coinmarketcap.com/currencies/ethereum/historical-data/?start=20130428&end=\"+time.strftime(\"%Y%m%d\"))[0]\n", "# convert the date string to the correct date format\n", "eth_market_info = eth_market_info.assign(Date=pd.to_datetime(eth_market_info['Date']))\n", "# sometime after publication of the blog, coinmarketcap starting returning asterisks in the column names\n", "# this will remove those asterisks\n", "eth_market_info.columns = eth_market_info.columns.str.replace(\"*\", \"\")\n", "# look at the first few rows\n", "eth_market_info.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To explain what's just happened, we've loaded some python packages and then imported the table that you see on [this site](https://coinmarketcap.com/currencies/bitcoin/historical-data/). With a little bit of data cleaning, we arrive at the above table. We also do the same thing for ether by simply replacing 'bitcoin' with 'ethereum' in the url (code omitted).\n", "\n", "To prove that the data is accurate, we can plot the price and volume of both cryptos over time." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# getting the Bitcoin and Eth logos\n", "import sys\n", "from PIL import Image\n", "import io\n", "\n", "if sys.version_info[0] < 3:\n", " import urllib2 as urllib\n", " bt_img = urllib.urlopen(\"http://logok.org/wp-content/uploads/2016/10/Bitcoin-Logo-640x480.png\")\n", " eth_img = urllib.urlopen(\"https://upload.wikimedia.org/wikipedia/commons/thumb/0/05/Ethereum_logo_2014.svg/256px-Ethereum_logo_2014.svg.png\")\n", "else:\n", " import urllib\n", " bt_img = urllib.request.urlopen(\"http://logok.org/wp-content/uploads/2016/10/Bitcoin-Logo-640x480.png\")\n", " eth_img = urllib.request.urlopen(\"https://upload.wikimedia.org/wikipedia/commons/thumb/0/05/Ethereum_logo_2014.svg/256px-Ethereum_logo_2014.svg.png\")\n", "\n", "image_file = io.BytesIO(bt_img.read())\n", "bitcoin_im = Image.open(image_file)\n", "\n", "image_file = io.BytesIO(eth_img.read())\n", "eth_im = Image.open(image_file)\n", "width_eth_im , height_eth_im = eth_im.size\n", "eth_im = eth_im.resize((int(eth_im.size[0]*0.8), int(eth_im.size[1]*0.8)), Image.ANTIALIAS)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "bitcoin_market_info.columns =[bitcoin_market_info.columns[0]]+['bt_'+i for i in bitcoin_market_info.columns[1:]]\n", "eth_market_info.columns =[eth_market_info.columns[0]]+['eth_'+i for i in eth_market_info.columns[1:]]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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wZdMtPLYp54RpK91MIPoiqfpL0HZdngcphOgv96DAQbYqCSGGFJVpIRh9pf8N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DEKKVaSnnNS3ZY+6Hu1JQA9ZN7ZTTZD3rlgG8XjqJRUS4DFAjjAmgMUdl7PMADdTBhIJQwGqd9T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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2,1, gridspec_kw = {'height_ratios':[3, 1]})\n", "ax1.set_ylabel('Closing Price ($)',fontsize=12)\n", "ax2.set_ylabel('Volume ($ bn)',fontsize=12)\n", "ax2.set_yticks([int('%d000000000'%i) for i in range(10)])\n", "ax2.set_yticklabels(range(10))\n", "ax1.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,7]])\n", "ax1.set_xticklabels('')\n", "ax2.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,7]])\n", "ax2.set_xticklabels([datetime.date(i,j,1).strftime('%b %Y') for i in range(2013,2019) for j in [1,7]])\n", "ax1.plot(bitcoin_market_info['Date'].astype(datetime.datetime),bitcoin_market_info['bt_Open'])\n", "ax2.bar(bitcoin_market_info['Date'].astype(datetime.datetime).values, bitcoin_market_info['bt_Volume'].values)\n", "fig.tight_layout()\n", "fig.figimage(bitcoin_im, 100, 120, zorder=3,alpha=.5)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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kiQB4Eo938rGTMeUYmpznZYzDah1EfX0tVq++OuMb1GWzbPyukeyiBN46rSZs4zMAKC7U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pmNYO6YVFxcSnX1LVLXIKacqydQHC2Bg4hlEjgIIcQMEDoJLi2tQFUtsmRphMTEJGprNwW/lsBB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\n6zrrl/iz2PWot7EozglVb/eCuzU+/L0In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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2,1, gridspec_kw = {'height_ratios':[3, 1]})\n", "#ax1.set_yscale('log')\n", "ax1.set_ylabel('Closing Price ($)',fontsize=12)\n", "ax2.set_ylabel('Volume ($ bn)',fontsize=12)\n", "ax2.set_yticks([int('%d000000000'%i) for i in range(10)])\n", "ax2.set_yticklabels(range(10))\n", "ax1.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,7]])\n", "ax1.set_xticklabels('')\n", "ax2.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,7]])\n", "ax2.set_xticklabels([datetime.date(i,j,1).strftime('%b %Y') for i in range(2013,2019) for j in [1,7]])\n", "ax1.plot(eth_market_info['Date'].astype(datetime.datetime),eth_market_info['eth_Open'])\n", "ax2.bar(eth_market_info['Date'].astype(datetime.datetime).values, eth_market_info['eth_Volume'].values)\n", "fig.tight_layout()\n", "fig.figimage(eth_im, 300, 180, zorder=3, alpha=.6)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Datebt_Openbt_Highbt_Lowbt_Closebt_Volumebt_Market Capeth_Openeth_Higheth_Loweth_Closeeth_Volumeeth_Market Capbt_day_diffeth_day_diff
02017-11-218205.748348.667762.718071.264277610000136967000000367.44372.47350.69360.4094991200035220200000-0.016389-0.019160
12017-11-208039.078336.867949.368200.643488450000134167000000354.09372.14353.29366.73807027000339334000000.0200980.035697
22017-11-197766.038101.917694.108036.493149320000129595000000347.40371.29344.74354.391181530000332849000000.0348260.020121
32017-11-187697.217884.997463.447790.153667190000128425000000331.98349.62327.69347.61649639000318007000000.0120750.047081
42017-11-177853.578004.597561.097708.994651670000131026000000330.17334.96327.52332.3962173300031620300000-0.0184090.006724
\n", "
" ], "text/plain": [ " Date bt_Open bt_High bt_Low bt_Close bt_Volume bt_Market Cap \\\n", "0 2017-11-21 8205.74 8348.66 7762.71 8071.26 4277610000 136967000000 \n", "1 2017-11-20 8039.07 8336.86 7949.36 8200.64 3488450000 134167000000 \n", "2 2017-11-19 7766.03 8101.91 7694.10 8036.49 3149320000 129595000000 \n", "3 2017-11-18 7697.21 7884.99 7463.44 7790.15 3667190000 128425000000 \n", "4 2017-11-17 7853.57 8004.59 7561.09 7708.99 4651670000 131026000000 \n", "\n", " eth_Open eth_High eth_Low eth_Close eth_Volume eth_Market Cap \\\n", "0 367.44 372.47 350.69 360.40 949912000 35220200000 \n", "1 354.09 372.14 353.29 366.73 807027000 33933400000 \n", "2 347.40 371.29 344.74 354.39 1181530000 33284900000 \n", "3 331.98 349.62 327.69 347.61 649639000 31800700000 \n", "4 330.17 334.96 327.52 332.39 621733000 31620300000 \n", "\n", " bt_day_diff eth_day_diff \n", "0 -0.016389 -0.019160 \n", "1 0.020098 0.035697 \n", "2 0.034826 0.020121 \n", "3 0.012075 0.047081 \n", "4 -0.018409 0.006724 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "market_info = pd.merge(bitcoin_market_info,eth_market_info, on=['Date'])\n", "market_info = market_info[market_info['Date']>='2016-01-01']\n", "for coins in ['bt_', 'eth_']: \n", " kwargs = { coins+'day_diff': lambda x: (x[coins+'Close']-x[coins+'Open'])/x[coins+'Open']}\n", " market_info = market_info.assign(**kwargs)\n", "market_info.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Training, Test & Random Walks\n", "\n", "We have some data, so now we need to build a model. In deep learning, the data is typically split into training and test sets. The model is built on the training set and subsequently evaluated on the unseen test set. In time series models, we generally train on one period of time and then test on another separate period. Rather arbitrarily, I'll set the cut-off date to June 1st 2017 (i.e. model will be trained on data before that date and assessed on data after it)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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shWWa4D8cSr4He5+yPlNFpf2eHS0J057gGkIFCzHdRYh4EAShpwnZOQ5eTetk\ny+SIcBB6lVtvvYnnn1/T6XaKorB06fV85zvzemFWgtANFAX0JjzBZ1HZl1pOAxoMOAkKTrDf97Cx\n2FowNO+C2o8swRCtb5larCMynfQmONCYiSLC8Yzo9VC/ERrKwTsEApMh+2hw2Z1Qe1oAKYr1uXmL\nraTpvU9Zn7XjKWnvPHQF1VWNt/ofhIrOwdRyJWxJEIQeJRwV4SAcZFx44SV897vfS1h20UU/4Mgj\nh3PddTcn/I0dPHhIj8zhf//393z99S5uv/2uHhlfOEQwonhqX0AzdnTSp8FZp1qhSfnT4rbtKSOx\nVahO0w6oWQ+NW60E51gYktM/oi+LhWTEhzjZngjTsAz25l3geRsCx0LuBLsnhmPE95CIcDwMnkJb\nPDwJTV917HmIKqiuPXhq1hLKn2+VoxUEQegmhmny3q49ZLndjB80oM16x+PgcYlwEA4SSkpKKClp\nm8Xv8/kYPfroXpnDBx+sp6RkcK8cS+iH2E+F3fVv4IpsSkE0QO+JhrikZ4DQPiuMp74cjGiid6En\njeheJ84T4eRlhCugci3Uvmd97nmTQPFgCQijh57s27kN7jwYdA7sedyqTNVJ2JLGp3hq/0U4b661\nWLwOgiCkiGma7KqtJ9vjpqKhka2V1QAMy8sl4PMmbCuhSsIhwcaNH/PIIw9RXv4xTU1NFBUVc+KJ\ns7jggosIBAKx7Xbt2sn//d+DfPjh++zfv5+sLD8jR47mP//zPGbMmMmOHV9w/vkLURSFL7/8ghNP\nPJ7588/mmmt+dQDPTjiosEWD1rgBd8O/SV67HxJKrhadBPnTsYzH1nVMMzY5YknP0ToI/htqP7Qq\nEyUIhoPRu9AF2giIStj3LDRshMGzQRveUja1J/IfnLwVdwBKzoavS+2chyTXiml5HlzG+xiuIqI5\nUyRkSRCElNANg3XbdrCvoRG3qjIoNzu2rj4cSRAOumGgG9Y9SDwO/YiwrlPbHDrQ00hKwOfFk4ZS\n7Srr17/DNddcyciRR3HNNUspLCxi06ZyHn74Qd59920eeOARvF4voVCI//7vS8jKyuKyy65k4MBB\nBINVPP30k/zqV1dz++13ccwxx7Jy5Z+57LILmTDhP/jZz35Ofn5Br52LcJATV3bVU/sybcqRJtun\n4JtQODOxuVrmJ2eNa+pQtwGq37Cq+6QrGLoy387Gz+RYKY3RTrjWnsdAGwV5J9p9M+ghI932argL\nYNB3reNJYPgnAAAgAElEQVSGKzvOeTDBXf8qhqsQwzdCxIMgCJ2yvaqGfQ2NAEQMg4ZwJLauMRJJ\n2Da+a7R4HPoJYV3nmU2fEtb77hNBj6Zy5rijek083Hnn7RQUFPKHP6wkJycHgEmTJlNUVMRvf3s9\n//jH0yxc+J989tmnVFTs45prlnLSSSfH9p8+/RusWvUwXq8Xt9vN6NFjAMjOzu610Cihn6AoYDTg\nqX0BRWnquOyqooJhQN4UKJptbdcj1X3iwp5C+6DqX1C/xVqkKnZlpDTuJ0aK5VdT0QSZHKtLOB4I\n2xNQVw4Nn0PBTAhMsTpX94T3wQlP8g6AgWfCnlLQ65I3iTNAcYXx1L5IyPU9TFd+5uYiCEK/xBEN\nDjVxD57rw62EQ1zXaK94HIT+yO7du/jyy8+ZP/+smGhwmDlzFqqq8tFHH7Bw4X9SVDQAVVV56qnH\nOfzwI5g0aTKqquJyubjggh8foDMQ+g12PoCn5l+oxp6OKygpKugG5I6BAXOt9z3x9NhpGGeaULse\n9r9qVRdyDOBMVBLyHw6eAXa51iTzVxQwQtDwKZgR2oZv2e+zhltP4DsSMopqnUPjtrhjZigPw4wT\nEHoDVKy1jlN0imXcWxuRWdViiwf/YTBwPux5AsxQ++JBwa60VIWndh2hgjOt/cXrIAhCEirqE4WD\nEXdfaQiHE9aF44RDOg9/RTj0ITyaxpnjjpJQJZu9e/cAsHr13/nHP55us15RFPbt2wtYSdc333wb\ny5ffxlVXXYbf72fixEkcf/wMvvOdeeTm5vbKnIX+iGX0uxo+xBXaAGYneQ2GAf4hMOD0uOZumTT+\n4hKgo3VQ+RLUf2ytcrwM6RrbimJ5CALHQmBS59tHaq0KQnok+Tb506xmbZ0R2mv1ZjD1zrftDqad\nZ6IADZ9ZnpqiORA4hpjgyuj3ZSdMZ4+yhGTFmpZKUG2+JyvfQTM+wdWwnmjONAlZEgShXRrCERoi\nye+59aHEdZG4aBb3wS4c1q9fz4UXXogSd3M0DINoNMrmzZspKytj+fLlbN++nSFDhvCTn/yEM844\nI7btI488wl//+lcqKysZM2YM1157LePHjwcgHA5zyy238OqrrxIOhzn++OO56aabyM/vm25gj6Yx\noJvd/PobzvXw7W+fyrnn/qDdbTyelvKFs2bN4YQTZvLee+/y/vvv8u67b7NixR088sifWL58hYQm\nCd3AegKtRPbirnutZVF7OE+RXTlQfAa4e6IuvxO3r0LjF1D5vGX4OsfIeL8Cgxah0s55xJbrdCpW\nzBTH6inBkHgw64eqQrTW6vgc+hoK54DmI+OeB8czlHcsRPZD9Vu2yEsiHkxw17+J4TkMwzM08/MR\nBOGgZ18rb0NrWocqJXoc1G4ft08IhylTpvDxxx8nLLvvvvvYunUrFRUVXH755Vx//fWcfvrpvPfe\ne1x22WWMGDGC8ePHs27dOu6++24efPBBxowZw8MPP8wll1zCSy+9hM/nY/ny5WzevJnS0lL8fj+/\n+c1vWLp0KStXrjxAZyukSkmJ1cchFAoxatRRKe3jdruZPv0Epk+3Gmxt3PgxV155Kffff4/0bRC6\ngQJmBE/tyyhqYwelV50n/RoUnw6+kpZQokwRM6xNqHkXql62ejLEmrf1VGnVzsKFupKUkMmxMkB8\nWdbgOxCqgOLT7NClDJfNVbDGLJxtJUo3bI3zELWel4KihfDUvERz0SJQ/ZmZgyAI/YadtXUAZLld\ndinWpoT1zdEoUcPApVp/hzLlccjgX7XMsXv3bh566CF+/vOfs3r1aoYPH85ZZ52Fx+NhxowZnHTS\nSTz++OMAlJaWcvbZZzNx4kQ8Hg8XXXQRiqKwbt06dF3nySef5Kc//SmDBg0iEAiwePFiXnnlFSoq\nKg7wWQqdUVJSwogRI/n3v99k//7KhHV79uzh1ltv4tNPPwHgzTdf57bbfks0Gk3YbsKE/2DgwEHU\n1NQALV4MXe+Np5rCQY399N5V/x5a9MuORYNib184E3KOTuylkJnJ2KIhCpUvQMVzVl6BqrY8ye9x\nlCSvAzVOprBFl6pA0+fw9Spo/LwH5mSLBNUNxd+x8j2MZB4puzmcuRt3/TsZnocgCAc7umGwu7Ye\ngMPycslyu9vdLr6yUsS2ezRVQU3DE94nhcNdd93FwoULKSkpoby8PBZ25DBu3Dg2bNgAwMaNGxk3\nblxsnaIojB07lg0bNrBjxw7q6uoYO3ZsbP2IESPw+XyUl5f3zskIaXHVVddgGCaXX34RL7/8Ihs3\nfsyaNc9w1VWXUlb2Jrm5eQDk5OTy/PNrWLLkCv71r5fYuHED7733Lrfffhu7d+/i1FNPAyyPRF5e\nHlu2bOaFF57n3XffPpCnJ/RV7Kf7SmQv7sa3O39IbpiQPdqq1BOroJQp7Jh8vQn2/t3qz+CUNu3v\nPRl6E9MWD5Gg1bit7mNakswzJMwcj5E7HwaebnWKjuU7tJkQGAquxvWooa9a5igIwiHP3vpGooZ1\n/x+Wl4vf3X4AUXwJVqdip0dNL0+1T4QqxbNz505efPFFXnzxRQCCwWCbTsN5eXlUV1fH1sc3AXPW\nB4NBgsEgiqKQl5eXsD4QCMT2Fw48Sgf13Y89dgr33PMADz/8J+644/c0NDSQl5fP1KnT+OEPL4pd\nG5MmHcNdd93H3/72CHfeuYy6ujpyc3MZOnQYv/71jZxyymmxMa+44mfcc89d3HbbLXzzm7OYOnVa\nb5ymcLBhGnhqX0VRGjuoomQnEbvzYcApoLjIbF6DAagQqYF9z1hPwjOVAC20xTQtL47RBPvWWGIt\n37k/ZCjPwBEPWSOh4Buw/1/JQ5bsEq3u2lcJFS0Cpf2nioIgHFpUNzUD1h1pYE52zPsAMKIwj+1V\nVpRFvHCIGNbv7jTyG6APCodVq1Yxd+5cCgsLY8vMNJ+ypLs/gJbmBy0k56231ne4fsKECSxbdken\n4xx33LEcd9yxnW43b94ZzJt3RqfbHQo417Vc33HYYUZaw0e4o9sBFdT2jEbnvQbF3wZfkeUBUDP1\nWZrW2OH9sO9paN4FLs2Oy48/fg/gCB9VaUnibTeh2d42frtkn1NsG5KMpSSOleEQJsXuJK2oSieu\ndifMLApVLwAhKDiRWEhapuZkAoUnQGgnNH4Gmtq+R8FQULWdEPoYPfd4qbIktEHu44cejVErBCnH\n68Hj1hgUyGZzRRUAYwYWxYRD1DRwuazrwvFQeF1abFl36HPCYe3atSxdujT2vqCggGAwmLBNMBik\nqKgIgMLCwjbeg2AwyOjRoyksLMQ0TYLBIH5/S3JZTU1NgjBJhUBAktOE/otc3zaOURapsRKQszyW\nt0HpwNuQdxwUH2NvkyFj15lHuBKC/wAqIMtL73kZ7HPzecDvSZ7o7czT5ba2i3qSRt3gd8ZKVlXJ\nPobiBp/bjv/P9HmBz9uVp/YKNL4FXhUGfIvMJkybgBeGnQa7/mL1lkj22WngNz6E7GPAUyDiQWgX\nuY8fOoQ+t0RAfraPgoJs8vKyaDIN8rN8jC4p4p+fbLccqG6NgoJsAEz74UmWzxNb1h36lHDYsmUL\nX3/9NSeccEJs2YQJE3j66cQa/hs2bGDSpEmx9eXl5SxYsACwyrhu2rSJRYsWMWzYMPLy8igvL2fw\n4MEAbN26lUgkwsSJE7s0t9raJvQ+3NFZELqDpqkEAn65vh1sg8wVfAVX877kCdFOnwPPAMg6AZoj\nGTTmnPCkIHz9GIT2xCVB9xLO+TWHwRPuXDhEItAUBj1M28pJ9vumMGjhzoVDc8R6Ge2NlcYpqQo+\nr5vmUATTSHVMe56710GzbnUBz6TRbpqgFIB/OlQ8b3tkkohUVyX6zheJFJyW3GsjHJLIffzQo7re\nqqDkUzWqqxsAOLqwAIBgsBGvptEc1amua4ytb2y2GsIphhlbFk+qYqJPCYdNmzaRn59PdnbL5OfP\nn8+KFSt44oknmD9/PmVlZbz++uuUlpYCcO6553L11Vczb948xowZw4MPPojX62XWLKuz8KJFi1i5\nciUTJkzA6/WyfPnyNqFQqaDrBtGo/IcU+idyfRMzCNXw1yh1H2I4PQfa4BizKhScBGo26HpLrf70\nJmGNH62FPU9B09d2p+NergLmJHw7L9Ns3+timm23tVa03rDVWO0c0zlGp2N1D0f2mIaJkbJwiAtR\n2/8qKF7Inw6GnqGqWfZ55hwDdZ9YnazbFQ8mRECJbMTwjsfwHJ5YSlYQkPv4oYJpmrEeDVluV7vf\nudflojmq0xSOxtY7+Q4uVU3rOulTwqGyspIBAwYkLCssLOTee+/llltu4eabb2bo0KEsW7aMo46y\n6vp/85vfZMmSJSxevJiqqiomTpzI/fffH2sMduWVV9LY2MiZZ56JruvMmTOHG264odfPTRCEPo5i\nVSly1f8bRQt14G3A7qo8Ia70aqZCVxTQm63qSU07bDEihsCBxREPJlS+DKrP6jKdke/dHld1Q9G3\nILTbSsxuz9NiKuCK4q4rI1Q4FJT0KqMIgnBw0hSJYtgPF7LjmuDG47X7NITiHjo5fRzS6eEAoJiZ\nyBw+BKiubhAlL/Q7XC6VgoJsub4db0Poc3xVj5O8e7FtKGq5MPQC8BSSmWo79m3YNGDvM1C3offD\nk+JxQpUGzYfA5BRClYKw80+g15M0VKlkEeSMTSFU6WvY/bDVpyKDoUqqquD3e2hqCnfB4xCHUw1J\n8cHgc6yqSJkWjfv/BVWvdRCyZM0jlH8Wun+M5DoIgNzHDzX21Tfy4mdfADD3qCMpzs5qs81rn3/F\nVzV1FGdnMfeoIwF49OPN6IbJpJJiJpQUt9mnuDg3peOn7WsV3SEIwkGP7W1w178Dmk5SIaBgGWv5\n0yzRYGZINDi1/KtetUVDB4ajcGBwjHSj2RJ3oX0tYiLtse1/8qeBd6CdGN7en2cFNBN3wztgREU0\nCMIhSEM4HPs9J5nHwWV7HOymuIZpotsPTNL1OHQ5VOn111/nxRdf5N1336WiooKGhgays7MpLi5m\n6tSpzJ07l5kzZ6Y1KUEQhN7DMv7V8OdokS+t3OSOejZ4SyBwLBlr9OYkutZtgOo3bWM02RyEA4oj\nHqJ1sG81DDkXtCzS9jo5AkTLgvwZsPcfSQSJCVFQlZ1ooU/R/WPTP7YgCAcVTn6Dpij4XO2LgNah\nSuG4kCVPb/Vx2LhxI7fccgsffvghhYWFHHfcccyYMYPc3Fzq6uqoqKjgxRdfpLS0lGOOOYZf//rX\nXa5cJAiC0PsoYERx170Lqg5Ge+Exdg1/U7G6Q2u+zISJOGM0fw2Va7E6fnX3KXYmjUel1c9UdlEA\ntZ1dlBaPSrfm0NcwLY9Q806ofAkGzsO6PjIgHjAhZwLUfgxNnyfxPFleB1fDe+jeo0DtU6mKgiD0\nMA22cMj2uO0Gum3xuqz7QjiqY5pmLL8Besnj8Pe//53rr7+eadOm8be//Y3Jkycn3fb999/n3nvv\n5fvf/z433XRTrEyqIAhCn8PJbYjssLwNyZ70KwoYBmSNgOzRZMbbYI+hN0PlcxBtSDNEKYMeCtMO\nn0o1x8I0rVKshtHO5+KEYqUae21ax02ovhTffM1M/j31Fo7gq/0AfEMgb0ryalFdHVd1QcEJ0LzD\n/vxbC1nL66ApO9FC26xcB/E6CMIhQ70dqpQsTAlaQpVMIKwbCR6HXukc/bvf/Y4//vGPzJo1q9Nt\njz32WO6//35ee+01fvnLX4pwEASh72I/3Xc3fACakaSSktJi0OWfYFXASdvbYLaEKFW9Ak070xQN\nCrgCVvO0pAZ1kvArUwczav2Oajdh06zNtayW7ZIcFrA8MAUzrXEUl3VejgfC2cgzuMOhYisUN7jy\nIVoDGNaYZiuxoNDy+R8oEeGcx/5/gfcw8JWkf104XoesIy2R2vBpS7ft1gfXTFyN76N7R4rXQRAO\nIZxQpewOmll647wKzdEo26taGil3JDhSIaW7zdNPP82QIUPaXVdfX88XX3zBoEGDKC5uydI+8cQT\nefLJJ9OanCAIQo8R8zbsQQ194Sxsu51TfjVruPUiEyFKWGPUb4Ga9XF5DV3FNjQVFww8A7xD7YpQ\nrefX0eBmi3BQHENfteak2n9gkp6vU2XKD4Wp5rYlEyGOwCiCoT+wkpD1MBiNENkPoQqIBq3f9QYr\nOTg2nBIX4tVLIsIRCXojVP7TyndQPaT39N+p3OSy+kU0busw10HTd6BGdmJ4j0zzuIIgHAwYpkmj\nLRxyPMmFQ463RRzsq2/k08pqAI4sCJDdwX6pkJJwGDJkCPfff38sDMlh1apV3H777TQ3NwMwa9Ys\n7rjjDvx+f2w/QRCEPoltqLqaNqBo4Q68DViGXN7xxJq8peVscBJs62H/S5ahn3YVJcVqRKf50hgj\nXcxWH1+r81EUUvrgFBVcuUB8acCj7CENKzE5UgPh3dD0BTTvBr3OrkRE7yaXm3a+Q9OXEPw3FM5K\n//pwvA7+I6ySrzGvQ3u5Dgauxg2EvUciokEQ+j+N4UjsztaR5yDX64kFOe4I1sb2Obq4KO05pBTo\n9MADD3DXXXcxYsSI2LItW7bwP//zP8ydO5enn36au+++m/Lycu666660JyUIgtAbKHoNWtMnycPv\nnafY/iOs8JFMVVLCtOr1h/ZnsPSqQSw/ADNDr66gtIQoKbb3Iv7VpQ/OPr7Z6qWo4M6DrMOtJ/KD\nvweHXQQDF1i5J6rP7jidAa9QV6aqKFD9b2jelZkSraZphYvlTbPCkJKV/TVAa/4MJVoZNxlBEPor\nTpgS0KHnQFUUcm2vQ0VjY2x5ljs9bwOkKByefPJJli5dyi9+8YvYsscff5zCwkJuueUWjj76aE46\n6SSuuuoqnn/++bQnJQiC0LNYBpbW9AkK9UlKsCotxmrgWMvr0K3qQPGHtQ3axi+g7oMk8evpoGT4\ndaCwj6+0esXEhNFiTLsDEJgEg/8ThvzASlRW/baA6I3zsMWk0QxV/wIj0rK8u8TnOviGJYlCMsFQ\nULRmXE2fpH1IQRD6Pqn0cHAI2MJBj2t4mW4pVkgxVGnnzp18/vnnrFixIrbshRdeID8/n/vuuy+2\nbM+ePVRUVLBixQqmTZvG1KlT056gIAhC5rGSgl3Nn1iPT9otwYplnPpKIGtUbLfuYxuYZtRq9GZE\npdFbl4mvruQQ543wDbFegWOh+jUrhyQ+kbqnMLG+y4ZtUF8OgWPSDFlSWrwOgcmW0Ozg2FrzZiI5\nU0DxdveAgiAcBDgeB7eqdioCAj4v1NbH3muKgqamLxxSHkGNO1hFRQWVlZVt+jSYppm0pqwgCEKf\nwDbU1cgu1Ohe0CFpUjRA7n+A5kkeLpLyce1Baz+ySm2KaMgQTlK32ZIc7RsMJefAwNNBzbLzH3ry\nb1Pc9xgsg2gjsS7j3cWZbtYo8AyI86C0Oq4OaqQSLbSj7VwEQehX1KfQw8Eh4E18kOBJ0iyuq6Tk\ncRg6dCgzZsxgzpw5ANxzzz14PB6uu+46srKyYts9/vjjvP3221xxxRUZmZwgCELGiSVFbwEtApFk\nSdGmlaSbNSYDB3USousg+Fb6ZTuFdlBa7OpYjsAU8AyCfc9AtIoeDVtyvA6hfVC7HgpPJD0j3r4u\nNT/kjof9r8QWtdnOZaI1bUH3HYUkSQtC/6UhhR4ODrmtyrV60mz85pCScJg3bx433XQTX331Ffv3\n7+ehhx7i3HPPTRAN5eXlrFixgrlz52ZkYoIgCD2GXo/W9Jn9JlkJViD7KHDnp2/oOw+Laz+AcJV4\nG3qa+HwI/zAoWQj7ngSzliTWdwYwwbRzMWrehZyJ4CkgrTKpzq7ZYyH4NhhNtDt/E7TwDhS9FlML\niDAVhH6K43HI6aCHg4Pf3Vo4pB+mBCmGKl1yySWceOKJ3HnnnaxatYpzzjmHn//857H1b775Jt/9\n7ncpKSkRb4MgCH0YOyk6vBvFrEleTcmJmc8Zn74B5hhxkVqofT+uXGimyXSVpIMdO4TJNMA7yOpz\nofno2YpLdl5DtB5q34st6jaOAPIMAP/hyZOkdVDMWtTwjrZjCILQL9ANg6aI1b8mlV4MfleibyBT\nHoeUhIPH4+Hmm2/m/fffZ/369Vx//fW44iY0ceJEVqxYwapVq8jLy+v2ZFauXMnMmTOZPHkyF154\nIbt27QKgrKyMhQsXctxxx3HGGWewevXqhP0eeeQRTj31VKZMmcL5559PeXl5bF04HOb6669n1qxZ\nzJgxg6uuuopgMIggCIcgthGnhT4DDdp/Emwb9p5BVkO1ZJt1lboPrf4DStxEMopd8jRW+rS9V1xp\n00zTunRqZ6/eEjOOePAfDoVzLK9ATx7WKc9a9zGEq9Mvz2pii9gJLe/boIAKWvOn9lvxNghCf6Mh\nrhRrKqFKLk3FHZef3KvC4bLLLqO+vj7p+kAgwMknn5wgJurr67n88stTnsiqVatYs2YNq1at4o03\n3mDkyJH83//9HxUVFVx++eWcd955lJWVce2113LdddfFxMG6deu4++67WbZsGW+99RazZ8/mkksu\niTWlW758OZs3b6a0tJS1a9dimiZLly5NeV6CIPQX7CfNej1a6MvkxqNjdOWMAc2bZlK0k9vQAHUf\ndXOMFDFCYIRBb2rn1WyXCW1V2jSTtC6d2tnL+Uyd8qo9ac07ydN5x1ndv3s0lMfxOtRB/Qb7+GkM\n5+zrO9wqPduux8S0ejqEd4Oe/G+1IAgHJzXNIVZv2RZ7n2r3Z7+7xS7v1RyHaDTK/PnzWbx4MWec\ncUanmdyrV6/mD3/4AyNHjkx5Ig899BC/+tWvOOKIIwD49a9/DcCf//xnhg8fzllnnQXAjBkzOOmk\nk3j88ccZP348paWlnH322bEKTxdddBGPPPII69at45RTTuHJJ59k2bJlDBo0CIDFixdz+umnU1FR\nQXFxccrzEwThIMe2/9XoXhSjlva7CyuWEav5IOuoxB3TOCb15VZuQyaag7U5AGBGoOIfWL0mjMR1\nYE1C9YIrz2pmlzPO7s6cZqWo2DQMiAQt8RI7rtHyqwLWcyrNamimuKykX9XTtrxqrIxphg17Eyth\nOn8GNHxplcXtqXwHx+tQ+yEEjgNXNul91ia4c61O0sEPQGtn3gYoSi1a+Ct0/1jJcxCEfsRXwdqE\n9zldEA61ISuhOlM5DikJh/vvv5877riDa6+9lrvuuos5c+YwZcoUiouLyc3Npa6ujn379rF+/Xpe\nffVVvv76a370ox+xZMmSlCaxd+9edu7cSTAY5PTTT6eyspLp06dzww03UF5ezvjx4xO2HzduXKzR\n3MaNGzn99NNj6xRFYezYsWzYsIGxY8dSV1fH2LFjY+tHjBiBz+ejvLyc2bNnpzQ/QRD6AbYRpTV/\nCS6j/WpKTlK0p9iKi4/br+vYhpsRgbq4J889ld8QqU5h7N1Qvxlq3oOB88F/WJoGpm0Mm1HYtwaa\nd8YlfrcjyhTVMt4VD2g54AqApxC8Q8A72EpEd+aSacPXCRHzHwm+odD0ZQ8mqTt5LUFo+ATyjk3j\nfGwxq6hWadbaj+K8YK3EoctEC31hCQcRDYLQb2iMRmO/H5EfwJ2i98AXFwnUq+VYFUVhyZIlnH32\n2axcuZJnnnmGv/zlLwmeB9M0CQQCzJkzh0svvZThw4enPIm9e/cCsHbtWh5++GF0XefKK6/kuuuu\no7m5mZKSkoTt8/LyqK6uBiAYDBIIBNqsDwaDBINBFEVpk3cRCARi+wuCcAhhRtDCO5InRTv4h1sG\nbjrGq7Nv85cQ3tODSdEOSucPtJ0n+eEKq0TpkB+0hL+k+4TfDFueD7MDYzy2uNEyqp3DKoCWa4m1\nnHGQfbTlkYjtlAkj2J6X6oLs0ZZw6NEvxFah9Rsh8B+Wl6W75+Jcg74jLHHleK9aY4Aa2Ql6A2jZ\nacxdEITeQjdMNu+rZHt1DQOzszhm8EB87kTz3EmKLs72M/PIw1IeW+uBHIeUhIPDkUceye9//3sM\nw2DLli1UVFRQW1tLIBCguLiYo48+OqFRXKqY9h+Ziy++mAEDBgDw3//931x88cWccMIJsfXdJd39\nAbQMuXgEoS/hXNf9/vq2jXglUotmVKPYyaSJRpz9BNflhpyjrKfRtN4m5QMCqmVEN5QDOmh2ku4B\nr7NvgkuDyH6ofx+K5tjLuzsvBVBBdV4pPsWPGb5OwnQ9NNVD0zaoeRvyp1sdmJ38hDQ/N8XOrVAU\nBTVnJNS8ZuWExMbvATQFwrss4egflp7XARM8OVZzu2i1/Tm33U41gripwcxkKJrQpzlk7uP9lPLd\n+/hoTwUAdaEwVU3NzBs3EjXuXtEcbamm5HKl/j27464Jn9vVpX2T0SXh4KCqKuPGjUv74A6OWMjN\nzY0tGzp0KKZpEo1G21RBCgaDFBUVAVBYWNjGexAMBhk9ejSFhYWYpkkwGMTv98fW19TUUFhY2KU5\nBgL+zjcShIOUfn99OwZbzSeQZYKRpCKFiVX6Mm+o1S2624aXvV+4Cowvwe/pY/abY9zvBq9i5Rp0\n61ztfQzA7wbctuDqriHuVH4KQt0/gV1Q/B3b+5AJI9jE53ODuxiyCyFS1cPfi2J1fNY/Bf9I0suX\nsa/honGgf9b+MKYVruT3VkPBmPSOJxx09Pv7eD+lfkck4X11UzP7Qs2MHTwgtqw5qgNQkJtFQUHq\n3sSsfS1/67KyPV3aNxndEg6ZpqSkhJycHDZv3hzLR9i5cydut5tZs2bx97//PWH7DRs2MGnSJAAm\nTJhAeXk5CxYsAMAwDDZt2sSiRYsYNmwYeXl5lJeXM3jwYAC2bt1KJBKJJVOnSm1tE7reWXyDIBxc\naJpKIODv/9e3bXS5q7aihcMQbS+/QQXdAPcgCCtAiLSNvJpPoD7YM1WM0kGxDVqjHhob0zDMHeEQ\ngaYINIctr4OZ5rXkeAEa37PmN+gsK9QnjaRpRVHw+dw0N0cwDQX0XGja08PN+Oyxq7ZA1jesBPXu\nGpcinYoAACAASURBVPPONWUOhLCWpBmcJRz0/VuJ0LW/ccLByyFzH++nVNU1AXBkQYCqxmZqQ2He\n2baLQpeH9Tv3MDQvJ9YxWtVNqqsbUh672OeL/e42lA73TVVU9AnhoGka55xzDvfeey9TpkwhOzub\ne+65hzPPPJMFCxZwzz338MQTTzB//nzKysp4/fXXKS0tBeDcc8/l6quvZt68eYwZM4YHH3wQr9fL\nrFmzUFWVRYsWsXLlSiZMmIDX62X58uXMnTu3yx4HXTeIRuU/pNA/OSSubyOEK7QPwzTtHIfWwsGu\nAuQ93FrvJKR2CxMMHeo2WwZ6X+sUrWALB/uldLengr2PYbSM5YQepYVuz1OF2k3gGQwFM+25dm9E\nJ4rWNA0MUwEtH3QnubuHGzs0V0LDF1ZuRbevK9P6uLUAaAUQabTC7RLmblofnbGHaLge1KxMnIBw\nkHBI3Mf7GaZpUmdXPcrxeMjzevloTwU1zSHWf7WHT/dX82llS1SNV9O69B0XZ2Ux4/AhuFSVbJc7\nI9dHnxAOAEuWLCESibBw4UKi0SinnHIKv/71r/H7/dx7773ccsst3HzzzQwdOpRly5Zx1FFWqcRv\nfvObLFmyhMWLF1NVVcXEiRO5//778djNMa688koaGxs588wz0XWdOXPmcMMNNxzIUxUEoVexjEPF\nqEOJ1iYxPG3jUfOBt6RlWbcOZz8ZDldDaLf9ULgPiYaDiZjn5j3InZSZErLOV6H6OtwsM5gtnqyG\nTy3hEPM+dfUcnORuD/iGQNMu2i3TZQA0ouq1GGqWlGUVhD7Cnrp63tu1l3EDBzC80CraE9Z1IoZl\nzOd4PLH/qoZp8un+tkV8/O7UyrDGM6Iwv/uTbgfFzETm8CFAdXWDKHmh3+FyqRQUZPfv69s2nLSm\nLXhrnk5SUck2yryDYOiPrMZv3Q4psZ8o134Ie5+JS2LtQ7daJ1TJWwJD/ysDoUph2PUXuxxrBkKV\n2pvrwPmQN7nbT+xVVcHv99DUGLIcI1WvQeW/4pLWewhFtTwyngEw9Ifp9XSIXVsfw96/t+NxsFEh\nnHsq0ezJIhwOAQ6J+3g/oPTjLTGRcP4xVp7w/sYm/rn1cwBOHnUEhmmybtuOpGPMO3okeT5vj8yv\nuDi3841IsXN0e0QiET777DPKyspiXZoFQRD6KmpkXzuVlGycRZ5B6YkGiIvP3x43eB8SDQcdipX0\nG9ppv83Q59lbtrTT0C5aDZFKe1l3B7Mn7R3cQVdzxeqzF63o7kEEQcgwpmnGRAPA7tp6dKMlTAkg\n1+PB7+o4ECjLfeADhbolHO655x5mzJjBvHnzuPDCC6moqKCiooJzzjmnTQUkQRCEA4r9tFWN7Em+\njWPI+YYkvu8y9o56s/X0XcKUMoQJ0XoyWiXI6K3vxQlX0qHpK2tROpVvAVw5VgO9jg4ZqQBTF2+D\nIPQB6sOJlZP+tX0Hb3+1O7ZcVRT8ble7oUh+Wyz43S5c3Wh5kGm6PIMHHniA++67j7PPPpt77rkH\nr9dymbjtk73jjjsyO0NBEIR0MSIoRn0HgsA27jwlyTZIDWf8cCXodemNJbSgYBnBmQgpirWPCHe4\nWWaxvQ7NX6bZy8PeT/NZoU/JdJQJil4Hhh0NIOJVEA4o+xub2iz7vLqG3bX1AOR43CiKgkdTE/o3\nDMrJ4oyjRzFt2GDmjDg8ofHygaLLwqG0tJTf/OY3XHvttZx00kmxk8jPz+cXv/gFL730UsYnKQiC\n0C1sg0kx6lGMhiS5BvaNWPVaT3LjFnXjgNaP5p1gRPteGdaDFROr43O3q1zFY38nkWr7e+6F78cx\n8MP7rK7OsYXdGcsezDPQHqL1xWpVDVOMRuuaFwThgNOecACoaGgEYGielV+g2J4HhwK/D7emMqqo\ngAJ/bxR06Jwu34X37t3L9OnT2103dOhQampq0p6UIAhCRrBtKiVajaI3tG+rOba9u6Dj8I9Ocers\nmxDalTgBIX1cBbR8Wd39XJ1QsrDlFYpb1CvojZZgycRxvYOSh8KZoCgh1Kh9LLkMBeGAUmkLh0E5\nWcweMSxBHAAckR+I/R7/3zXf1zfEQjxdFg6DBw9m06ZN7a7bvHlzrAu0IAjCAce2qVSjFlQzibGm\nxAkHL+lZdHaFocj+xAkI3cQWCqoKWcOtRemE3Ti7RmtAT1aatyewRaURhdDXrSbTTVx5lhemXSGl\ngAqKUZuRQwmC0H0M06S60QobLM7OYmggl7HFRbH1Aa+HwjhvQsjuEg2Q7++ZCkrp0OX07JkzZ3Lj\njTfS1NTECSf8f/bePE6Osk78fz9VfU7PdM+dZHJPzJ0QkIAJBglRQW6DEoL8Xq7r4gVfMIgXyKGI\nikSjuy8VX8iuGt1dDOAVd112JQtyBEVgIUwCgZCQO5nJTM/ZZ1X9/niq+pjpnqt7Znpmnvcrnemu\n46lPVVd3fz7P5zoHIQTt7e288cYbfOMb3+DCCy8cCTkVCoVi6GR4HNAAs5/QIVdmrevhlMq0dzO6\nZCLvuJjlLXGNUghZytTXAP456WWF0vMmGLFRDiWzvVFxu9pRoeeh+WUvCqMr/ybJ1sKOoVAoCiYc\niWHYEx41ZX4AFtVVU1Pm42RXDzMrg1m5Cy5NS1VgGqnSq4UwZMPh5ptvZt++fXz5y19GCIFlWVx1\n1VVYlsWaNWu4+eabR0JOhUKhGAbyy1gYnf03fhOA2+4mP+y697blkGi149hFyevlJY0QMpFY80DN\nWvm3oJ4E9vtsJqD7tYxjjOKbJJCGg5kAzc2wwq6czfUyGVqX7MrbmVwk7SqHJZBQqVBMVjLzGxzD\nQQhBfXmA+vJAn+3PnjmNJ/cfYnqwvCSqKPVmyIZDeXk5P/vZz3jllVd4+eWX6erqIhgMcvrpp7N0\n6dKRkFGhUCgKwMxIjM6FrYy6CslvgJRGlwzLUp/6KCulE4V061QQbqi9AMreQUrxHy5OInH3Xoge\nGX2jIZVf0QVmzDYcCkDzynClWJ4ywxYIM2qXZNULO5ZCoRg2juFQ5nb3yW3IxYxQBR9augCvqzQ/\nt8PuJDFjxgxOO+201OtDhw4VRSCFQqEoCs7stBFFGP2VYkUqYbqTnDbcxm/233jLOAlTKgVE36dO\nfwVPHdSsg/JFFN6/wemlEIG2Z+wOzKNc8SoVyhaRD1f5ME/LllsI2fG7v1Ow4mAllOGgUIwhPQnZ\nqyHk8wx6H18JNHrLx5B9IC0tLWzYsIH77rsva/mXvvQlNmzYQGuriqlUKBSlg7BiCDOWX8GykLHi\nBZditXdMTNbvQJF+iFwPrdfDUdwtaeSZ9sNdCdXvgekfLZ7RYB+GU/8rk5O1MSyTa0ZlcnYhOKK7\nKvotKSvMGGJU+1UoFIrexA2Z7OzRJ4YBP2TDYfPmzUQiEa666qqs5V/84hdJJpN9DAqFQqEYE1K6\npgEk8vRwsNE8hYeOgAwLMWL288KHG1dYSWkAWEbaCMh6mPJh2A/Hs6B5wVMNFctg6nqY/vdQc749\nI18EowGkkdL+F2j/mx2iVOjJDlMWJzyq4OaA9gm4KrJeZq23ABLSu5F7I4VCMQrEDZnoPFEMhyH7\nQp555hl+9KMfZYUpAZx++ul89atf5frrry+acAqFQlEowkwgzGRu/TPVFsANFPKlbiu4ZhKsWAHj\njFcEuGtk0q8QgEnaU+B4G3QQLtDKpMKrl0uDwVNvvy7LGC9D4R8ulpluGBf+K7T+CfzOXNkYKtEW\nsp9DMdCcxMo8vRxIIKxI2mZWIXQKxajjeBzceuklOg+HIRsO3d3dBAJ9s8ABgsEg3d2qU6VCoSgl\nkoDZv64o3Blx4IUoq3GZ+DppFDSn67YL6i9FenccrIxtbOMBTRoPOQ2CjD4bxagCJDT5Xpx6Etqf\ns/3rHsZ85l0Ayc7080LQ3BkhX73CrywAQ4bpKRSKMcGyLOLJSR6qtGzZMn72s59h2jVmHeLxON//\n/veHXVlp0aJFnHbaaaxYsSL195577gFg586dXHXVVZx55plcdtllbN++PWvfrVu38oEPfICVK1dy\n7bXX0tTUlCXXnXfeyXnnncfq1av57Gc/SzgcHpaMCoViHGLZhkN/aC6KkixrRGUDuEmHkM3z9LKM\nR8B+lMkkXs2brehapv1wEhAy8iGGjZMzYUD363D4ZxDeaSvoJWTNJQsNVXIalHjSXpVcaJBtzCkU\nitHEMK3Ur0qpVkkaKkP2OHz+85/nYx/7GI8//jhLliwhEAjQ0dHBrl27MAyDn/70p8MSRAjBY489\nxrRp07KWNzc3c/3113PnnXdyySWX8MILL/CZz3yGxsZGli5dyo4dO/jhD3/Igw8+yMKFC/n5z3/O\npz71Kf70pz/h8/nYsmULe/bsYdu2bfj9fm6//XZuvfVW7r///mHJqVAoxhfCTPSZjO27UYEVLJwJ\nXzMqq9hMSoZidBVqIAwwdqINOpvs7tDCLo9rrxvwZhgFUsZloU3gvMif8X6MAytZ2DEUCsWwccKU\nANyT1eOwYsUKfvOb33DRRRfR0dHB66+/Tjwe57LLLuPRRx/l9NNPH5YglmVh5aipvX37dubOncv6\n9evxeDysXr2adevW8fDDDwOwbds2rrzySpYvX47H4+G6665DCMGOHTswDINHH32UG264gSlTphAM\nBtm0aRNPPPEEzc3Nw5JToVCMM6z4wPqZKFJ3TisuZ7snJWIIj5GUAfDUwtQrYeanYeqHoWKJrJxl\n2h6JsW6IZhmF9ZBwxNfcoOVTRoT8N2kNWYVi7IllGA6eyZrjADBnzhzuuOOOYsvCd77zHV566SW6\nurq46KKL+PKXv0xTU1Of8KclS5bwxz/+EYBXX32VSy65JLVOCMHixYvZtWsXixcvprOzk8WLF6fW\nNzY24vP5aGpqYu3atUU/B4VCUVoIK5ERqpKvqlKhFZVsl4M1QEiUYnRxVUD5EvlINEP8FWh+ERI9\ndrdlGBvvQ2byeAEInQHn/5ThoFCMGYksw2FieBwGZTg8/fTTrFq1CpfLxdNPPz3g9mvWrBmyIKef\nfjrvfve7+fa3v82hQ4e4+eab+drXvkY4HGbq1KlZ24ZCIdra2gAIh8MEg8E+68PhMOFwGCEEoVAo\na30wGEztr1AoJjqDUOaL1SArFa+vKA3sHhFCA289VF4M7qXQ/Dj0vDmwQTliYmXek4UYEAN4cAQI\nxwNWQikeCsVkwSnFCpPMcLjuuut45plnqKmpSYUC5QorAjnjv2fPniEL8tBDD6WeNzY2csstt/CZ\nz3yGlStX5j3WYCl0fwB9griYFIpMnPt6Yt7fUiHTdYGmC7ByaE5OyIqm203BYFgalmXH7GsUNs5o\nkTpvkX7IFWMm0sjgnI9ln7KF8DegTd8IbU/LBwbyjRsF4yHrume8HtZ1z3jvrFwGhDyGrllYLuf8\nJtr7q4CJ/j0+vjEyJgnKvC5crvH/Hg3KcNi6dWtq1n7r1q0jKpDD9OnTMQwDTdP6VEEKh8PU1NQA\nUF1d3cd7EA6HWbBgAdXV1ViWRTgcxu/3p9a3t7dTXV09JHmCQf/AGykU45SJeX87lXrKIOkBI9fM\nsp0463eB38OwlSunZ4DhAZ9nHOhndiMyj0eet17AuY8zfF5dlt8NXAAVNdD8X8iSvaOBfd19HvB7\n+6+I1C/2e+Vyg98t7+/eb50lwGVBMABVASbL+zuZmZjf4+MbvTNdQa2+Nog21vlVRWBQhsPZZ5+d\net7T08OqVavw+XxFE2LPnj38/ve/50tf+lJq2b59+/B6vZx33nn8+te/ztp+165drFixApDlYZua\nmvjgBz8IgGma7N69mw0bNjBz5kxCoRBNTU2pak179+4lkUiwfPnyIcnY0RHBMFT8smJioesawaB/\ngt7ftsehK447Es9tODgVd3oiEIlTsOEQTUI0kTFOiYYtOedtxuV56zoFK5aOZ3cwQ/TJLRAZ+43M\nD6sQAp/PTTRmYFl2J3HPciiPQvNjpEPaRvA9c647SXndCzUcEvb7Z8Tpe78J0C0SehxDdNshW+Nf\naVH0ZWJ/j/dPezSGAIK+IhW4KDLhDtns0a1rtIeL1PhxhKiqyt2jrTdDTo6++eab2b59OzNmzBiy\nUPmorq7mV7/6FdXV1fzd3/0dR44c4Z/+6Z+4+uqrufzyy/nBD37AI488wuWXX87OnTt56qmn2LZt\nGwDXXHMNt9xyC5deeikLFy7kwQcfTBkcmqaxYcMG7r//fpYtW4bX62XLli1ccMEFQ/Y4GIZJMjm5\nPpCKycPEvL+lcmVZOrph2QpbLwRyeTKerrgz7ENZYGm9xilVwwHbcLAfooi5GYMeppcSm9rP7KXk\nFkfZ1Wwd3bIsTBPb0DGhYiVEWyD8FzvsZyQNB+xrLqSdIoZ7LHu/ZAIMI+PetrK3EWAYLvnZVobD\nhGdifo/npysWZ/tr+xDAB5fMx+cusKz2CBBN2M3fNH3CvDdDvsoXXXQRW7du5bbbbiuaEFOmTOGB\nBx7gO9/5Dvfffz9er5f169ezadMmPB4PP/7xj7nnnnu4++67mT59Ops3b2b+/PkAnHvuuXzuc59j\n06ZNtLa2snz5ch544AE8Hg8AN910Ez09PVxxxRUYhsH555/PXXfdVTTZFQpFiSPcAyuzVrRIx/LI\nnhCTrZKNZUDnq7J/AsjeAVbSTgJ2fiw1mYSuuUHzyBK4mhd0H7iCoFfYTeJ6dZZOeTKKrPRmjld9\nHvTsh/jJ4jQCHPDYemHnk3JoJeg3zMoCq+CKYQpFafJ6Syum/f1wvKubOVWhAfYYfZw+Dp4J0vwN\nhmE4BAIBnnzySf7zP/+TxYsX96loBPDd7353yIKsXLkyK0G697rf/va3effduHEjGzduzLnO7XZz\nxx13jEj5WIVCUfpYgzEcTEf5GqYyl6qr77MNlcliODhlaA3ZoTlyYvB5ximHgpDXTfeDVgaeGvDN\nAN9McFenS+VaVkYVpGJhl9DV/VC1Ck7+PkO4ETQedCfUt8DwMDPWf98QCwpubqhQlCiRRNpozmy0\nVgoYpsn+tnYOt8scB99kNhwef/xxADweD/v27euzXihXqEKhKCWEC6nN9uMmdhpyFfr9pfvkbLpZ\n2rGsI4LmkfFA2mCU7oz1lgVmBIwI0ArRw9DxMuhecNdB+SIILAFPVXr7ov7O2PIGloDnOYidHPmQ\nHldFccaxEgMbDsNr16RQlDzhaCz1vCteWpM1fztynDdPycI+AlhcVzO2AhWRIX+j7NixYyTkUCgU\nipHBMRyEmV+fdTo+CxcFzQJrHvmYjAVsnJwBtCE0wssoI5qZJ2whZ9Ojh+Uj/BcIng6hd4GryBWC\nhJ3XoHul8RA7ObIOBwsZluU8H9Zp2Dua8Ywxeif+A+hYmme4kioUJUvCMGjPMBy6Y/ExlCYby7JS\nngaAc2ZPZ1qwfAwlKi5DKumQTCZpbm4mmRyt0nUKhUJRGBZurHzhGqmc0iSynv9wsbU/4ZJx+hmL\nFP1hpR9WxsPRhp0+BUYntD4FR38JkSOMjGZvQdk8WelopBOk9bLijGV022Pm6lEiw/QsrUjHUihK\niJbuSNbrUvI4dMTiRJPy9+Sc2dNLMveiEAZlOFiWxfe+9z3OOuss3vOe93DWWWdx3333YZoTI0Nc\noVBMQBzdT7hknHx/8fFmzC5pWSBCA03VUi8OmYaEkGFQseNwfBv0HKSoxoNzb7gr5SO9sIiIdBfr\ngkOVbNmSnQNs5pH5I6AqKikmFEc6urJel5LhcKKrO/V8avnEM9wHFar0y1/+kp/85CdcfvnlLFq0\niP379/PLX/4Sj8fDpk2bRlpGhUKhGDq2omRpXizNhzDzKFkCMKNyVttdMfwYemc/Tw10OQOXaDnW\ncYdtQGgaJDugeTs0/H/gDhU350EPgKcOYq2gj1BpVt0HrkJmIK20TWN02bdYjh4OwsISHiytNOvb\nKxTD5VhHF6+3tGYtixsGb7S0Ma+mkj/vP8Txzm6CPi/vf8cc3KPcUftEl8xxC3o9+N0Tr6rZoAyH\nbdu2ceONN/KZz3wmtexd73oXd911FzfddBOaNv5baCsUigmK8GJp5WA159/GjA08eztY3LW5Y84V\nhWOZ0niIt0DbU1B3SZEcA7biLQS4KgfcetiHMJEeqZQXoIDBLAuMAZLwNS8w8RQXxeTlVE+EHW8d\nTL2eXRnk7XAHAH89fAwh0t6ItkiU451dzKzsW/1zJGnplp/LusDE8zbAIEOV3n77bd73vvdlLXvf\n+95HV1cXzc39/BgrFArFWCM0LC2QR0mzlUULOXtbELah4K7MiJNX4SFFx/EwdDVB4hRF8+w43gVX\ncIQMP/tecFWk82CGgyOWEYFkOL+sAizhLaA7tUJRehzvTIcB6ULwzoYpVHjSBQAOtLVnbd+TGN2c\n3J54InXMusDEDFsd1DdKPB7v02nZ4/Hg8/mIx0snk12hUCiykQqVpVf0owfahkPiVPr1sLD3c1eD\na+JU0Cg97DfSiMqKSxmLioKTozISDiMLGQqlFVi9C2QJ22RXv3aT5aoa/vgKRQnS2iOTogVw+eJ3\nUOZxc+niealPkhMm5NCTGN3ch5aedNJ27WT2OCgUCsW4xFaoLFeV3cahH20wYc9UDbdzsPPLpZeB\nXm7rhcrjMCI4lzV2dATGzmzUVMT3z2lg565Pvy4EIyLLCPeDqTuGgwqbU0wMTvVEAWisrqTMI8Pw\nNCHwu3NH3o+kx6EnkaAjGsPK+Cw7YUpuTSPonZilkAfdx0E1dlMoFOMVUwuBma+Xg63QJVrlLHaq\nq+9wsGQfB08dREdAqVXY2MadEUu/LGlseTU3eKdlLCuAZJvseJ7T0LXAAGuk8jUUiiJgWRbHOrsJ\n+bwEPPlzcTpjcYSA/a3tdNsehJqy7DCgMo87p5EQGSGPw18OHePNU20AvLNhCovra4gmkuy3Q6Vq\nA/4JqzcP2nD4xCc+gbtXdngsFuOzn/0sHk+2VfXQQw8VRzqFQqEoBKeykqsSSwsg6MypYyGQ8eLJ\nTmk4DCuKRMjkXSHAOx14eWT7AZQcE+RcrUzlo4jnZCFD2JxyrwVGxBE7KcfUclR/0sCyfJh6ZfrY\nE1OHUYxTkqbJ4fZOnnn7CG5N4/3z51Dl7ztps+fkKV48eqLP8uqy7G0DbjctpMOEvC6dWNKgJ158\nj8Oxjq6U0QDQdKKFxuoQTx04nOrfsGgCdYruzaAMh7POOivn8jPPPLOowigUCsVIYOnlWHqZXZK1\n9wyt/dyM2QnSdQUcydbOfDPsDtLxHMdTFAchrzEUVzE2o6nhi/a2Od2pPVPs5m8FCmxZED+ZJzHa\nLsWq+VXzN0VJcrKrm8f3HcS0Dd6EafLUgcNctmhe1iz9ya6ePkaDrgnmVIao7mVklPXyWMwKBXnj\nVBs9iQSWZRV19v//jp3Meh0zDB55dW/q9aK6ahomUKfo3gzKcPjFL34x0nIoFArFyCFcWFoFWH1n\nruR6AaYFsWNQNreA49h/3VWyOk+8Rc30jgROd+lU2E8RcBQLoztPb4RCsMcpm502IoZ1X9gGhxmB\nREvW0FkIsPSgav6mKEleOnoyZTQ4dMbidMbiBH3pimNHO9OV7mZXBqkLlDG/tgotx/0cyIiICXo9\n1Ab8vHGqDcOyiBsGXtegA2z6JW4YtEbk5MLp0+p5O9xBm/0aYEaogjMaphTlWKWKSo5WKBQTG/sH\nyvQMQsksONnWVjZ1H/hnqQTpkUT3gW9WkQbL8AAUq59HCttQ0Fzgm1mcIZMd0sDJd2sJMF11MtF7\nUoXLKcYD0WTu8KGT3dkVkZxE4/pAGWvmzGBhXXVOowFkaJJDpc9LWUay9F8PH89KYC6Elu50OFR9\neRmL67Irjp4+rT6vjBOFkjMcvvnNb7Jo0aLU6507d3LVVVdx5plnctlll7F9+/as7bdu3coHPvAB\nVq5cybXXXktTU1NqXTwe58477+S8885j9erVfPaznyUcDo/auSgUitLBdNWDAf3OIsdOymo1w62s\nBGlFzd+YEX8+sX9IRhWnR0b5ctml2+nFUQzMBCTbi/t2ObeSu06W6nWWDQfn3ooeASNfGJxMjDbd\nE3vWUzF+6e1tcPjLoWM0nWhJbeNUUKodRD+EzGTp+bXVBDJybw+GOzhgN4kbLq8cb+bXTXt5wm4+\npwlBtd/H7KoQXl0aLXWBMkK+id+pvaQMhz179vC73/0uFYt28uRJrr/+ej7ykY+wc+dObrvtNu64\n446UcbBjxw5++MMfsnnzZp599lnWrl3Lpz71KaJRebNt2bKFPXv2sG3bNh577DEsy+LWW28ds/NT\nKBRjh+muwRIB+a2XL0Ha6ICEPblQ6AyVt0GWZVX5DcVDaGCasmpV9bnp5n3FwuiS/TwERZypt2X0\nzwHdX5gh6RhIsSPpRni90cCyPJiuKanDKxSlQsIw+lQ/mhmqSD3/v2Mn6YjFaI/GSJomALVlAxsO\nFV4P7549nXfPns7UigAVXg+nTU3nqz379hF+v+dNjnUOr9Hn682niCSSqa+bmjIfuqahCcF5jTOZ\nWxVi9ayGYY093igZw8GyLL761a/y8Y9/PLVs+/btzJ07l/Xr1+PxeFi9ejXr1q3j4YcfBmDbtm1c\neeWVLF++HI/Hw3XXXYcQgh07dmAYBo8++ig33HADU6ZMIRgMsmnTJp544gnV7VqhmEw4lZX0oB33\nTW6FSwhZ3rPQcCXHW+GulKEpKlypQIR9/YQ0GtxVUH+F7MBcLG+Dow0k2sHo6bWwEOxKW7oLAvML\nHMvJb4hD9Fi/3a0tPYDlCqZlUChKhI5Ydu+RZVNqmRkKZi3bdyrMSxlJ0YNtpDanKsScqlDq9fKp\ndayYVp963RmL87/7DtIejQ1J5njSIG6YWctmZBg7dYEyzpk9nYoJ2rehNyVjOPz7v/87Xq+XSy+9\nNLVs9+7dLF26NGu7JUuWsGvXLgBeffVVlixZklonhGDx4sXs2rWLgwcP0tnZyeLFi1PrGxsb27Kb\nnAAAIABJREFU8fl8WeFMCoVikiDcMlwpJ7ZSZgGRgxSmkIq0sVDufP8or8PQEdLDADJx3bLAPxem\nbQT/dEakxmj07fwz+cNBAJaQHhLfDHvZMMdOGTdtsodDzmg6ARqY7qnpDtgKRQmRqbRfuXQ+K6bV\nM6cqyJrZ0ymzE5x3nzzFsc5uABbUVuVt7jYY5lWHcGnpz5wFHO3I9joc7+yi6URL3hCqrnja2Dmj\noZ61jTMndLnVgRj2u9Hd3U1HR0fOhJOGhqG5a1paWvjBD37AL3/5y6zl4XCYqVOnZi0LhUK0tbWl\n1geDwT7rw+Ew4XAYIQShUChrfTAYTO2vUCgmCbYyaHhm4Iq9TE5F3rLkVErssMxzKKRsprOLbza4\ngzKZtaTKstoCan4Q+RsvjZocqaf2NbKQf037ennrILgSgmfIJmpFNRpsQ8FMQM++Io3Za/yy+cWT\nO3JQNirM1b/BPpzpmZl+oTwOihIiHJGGg0fX8NmVjoQQzK4KoQnBnw8cTm1b4fXwzoapOccZLH63\nmwvnzyVmGDx38Chd8USW8WJaFo/vk3kLCcPg9BwVkbri6SZys0JByieJZyEfQzYcXnnlFb785S+z\nf//+vNvs2bNnSGPee++9fPjDH6axsZEjR45krSs0E75YmfS6XjLOGYWiaDj39WS5v0XZDES3HyGi\neXR4AWYHJJvBPaeAMCNbAfYGoXwRhJ8Hvcjx+HkPbYf19IdTDrRiAbjc9uvh3gP28XQNNF0qtINS\nVjMMhNQfKz2kXiZn6cuXQGChzA9IyT50WZ3cOSEEWubujochfhISJ+X7hCiCvu2ErPmhYkla0S/I\nmyEg+pYcS8txPwkAN8LXgMvlJPMow2GiM56+x09FZFWimjI/breetW52TQjXwSMk7QmDRfXVeD16\nnzGGSm2FDHWqbPbRFU/QGY/bnw+IZORbNJ08xcpZfavv9dhVoAQQLPNO+KpJAzFkw+HrX/86yWSS\n//f//h/V1dUFN9XYuXMnL730Evfccw+QrehXVVX1qYIUDoepqZEuourq6j7eg3A4zIIFC6iursay\nLMLhMH5/2mXb3t5OdXV2+azBEAwqt69i4jJp7m/TA7FpkDwCRi4PgN3PwXwb/AsKU/QsUyq49WdA\ncjdYiYH3KQbmwJsgkAp5/SrQ3RkLh4oTd2+BBzBcQwuAFchrpHlAeGX+gqce/DPBO1VWIXKMhFTv\ng8J+c3y+3h4W+xw6X5PnoHkpWn6DaUH5PKicnmHsFHCdk52gt4Lf07fylyXAZYFej79uZjoRe5Ir\nOZOJUv8eN02LVrtS0szaEFVVgT7brFs8l/9ueguvS+fMedPxFRCm1JupVeUcbu+kPRqjsrIMIQRm\nV3YJ2PKgD7eebaxE7XyLCr+XmuqJ29htsAz5HXnzzTfZunUry5cvL4oAv//972ltbWXt2rWANBws\ny2L16tX8/d//PX/4wx+ytt+1axcrVqwAYNmyZTQ1NfHBD34QANM02b17Nxs2bGDmzJmEQiGampqY\nNk1akHv37iWRSAxL9o6OCIYxmF9khWL8oOsawaB/Ut3fLmMqruh+SOYwHJxGcK1vgP+cAsNLnLyJ\nevno2Z8/vKRg7HMRGgSWgCsEVjLdKC2FBrpHKuVl8yGuAYUYNI7hYIA+H7zVtihGxnGFPK7Q5UPz\nyPAozSsTnF3loJXJsClXQG4DsnSukbQNsMF6MfIjhMDncxONJtITVI5iHWuB5pdk4nFRQspEepjK\nxRA15PtRqBHauRc6W5yFfY/pskj66kl2mED3sKVXjC/Gy/d4a08kVSkpoLtoa+t7j07zl/He+bMp\n97iJdMWIMLRE5v7w2rMasaTBseZ2/G43J3rlO/zmb6+xdt4s3Lb35pn9h3nzlJzALnPllnmikMuQ\ny8WQDYeamhrKyorXxv62225j06ZNqdfHjx/n6quv5ne/+x2GYfDAAw/wyCOPcPnll7Nz506eeuop\ntm3bBsA111zDLbfcwqWXXsrChQt58MEH8Xq9nHfeeWiaxoYNG7j//vtZtmwZXq+XLVu2cMEFFwzL\n42AYJslk6X4gFYpCmBT3t60kmvostMRzgJlHP7QgehIix+TM97C7/JJW+MpXQPf+dJLviGBJpbzy\nfPBUDW4X06TwUBYL0KHq3ALHsYeyFYu0WE5ITmHXTUs5LixMJ3cC+/1ofRoS3bZhV6TPgWWBdwr4\n5tm5GlZhp2Aa0Pk6JE0ZFtbnPrIgIUgE5mAkTeVtmISU+vf4iY707H6V15dX1qkBqcAW+1wqMno7\nnOqKMrVCpyeWPXFytKOLvSdbWVhXjWlZKaMBZHfqUr6+o8WQDYePf/zj/OQnP+Gee+7BVYQW3hUV\nFVRUpMtaJZNJhBDU18vqJz/+8Y+55557uPvuu5k+fTqbN29m/nxZ1u7cc8/lc5/7HJs2baK1tZXl\ny5fzwAMP4LFvjptuuomenh6uuOIKDMPg/PPP56677ipYZoVCMX4x3fWYeiWa1ZojXMlJlI1D9+vS\ncCgwJB2AsgUyBCd2YuS8Dhag+aTx0J+G6ijhRZjFzzFwP2NaOZ5mymnP0o+Wspuaxd8NXbsoXk+I\nDG9D8AzQvQWGvNn7JsMQOWD3IckhqAaWCGF4pttiKKNBUVq0RWSYUpnbVVClpOFSnmE4dNsJz9Gk\n0We7sJ083dmrdOz0oApTgmEYDgcOHOCVV15h3bp1LFmyhECgr2vju9/97rAFmj59elZy9cqVK/nt\nb3+bd/uNGzeycePGnOvcbjd33HEHd9xxx7DlUSgUEwRHkdIDmJ5ZaPHW/rfv3guV7waXn+GHKzl1\n/H0QfCc0/3EYYwwBV0geK6W55pC5CHkCuRlozN4VlEZKjsFgGw2xZmh5TM7mF9ItPMfwuKuhfOmA\nmw6ayAFIduWRU4BmYbgaQB9cuIFCMdqE7ea8lX7fmBzfnZE8njClwRCzE5/dmkZtwM+xzm46YzEO\nhjv4y6F0T58L5s+hbpD9JCY6QzYc/vSnP8kdXS727t3bZ32hydIKhUIxYjhlWX3vwBX5P/KWZRVA\nogVih8C1oLDiNI6iV74U2p+H+Kniex2c3AxPjZ0joKrp5MUyAU02ezu5XZbKLeb7IZBjBc+Q+RsF\nhQxZ6ZyRzt1keTN6b2eAUWE3mVNhSooSw7KsVBnUSp93TGTQhMClaSRNk4SdC+J4HHxuF0Gvl2Od\n3YSjMZ7KKAurC0HNILpXTxaGbDjs2LFjJORQKBSKkcdWpgz3dEytCs1qA7OfJOnOV2UScWEHlYqc\nKwChs2yvwwgodQJpOICyG3Ji5xkIDeJtcOLXED1khygVy2hwDLhqCJ5uLytgPKf0bOwExA6CsGT1\npN7H1CwsKjE8swo/pkIxAkQSyVT35bEyHEB6HZKmScJ0DAfpcfC69FTn51iv8KWAxz3pS7BmUvpF\nfxUKhaKYWBboZRi++fm/AR3FO7IP4i2FK5fCHrTiNPBOk8pl0X6IRLrykKeuSGNOJJyEdDunI/I2\nHHsIIofsjOlieX6cHAkBodVpb0MhWrxzj3TtBiOeO0zJPoThnQ26E4OtlBxFaRHOaLoW8o1NqBLI\nkCSgr8fB5UoZDr1xKkEpJIPyOKxZs4bt27dTVVXFmjVr+t1WCMFTTz1VFOEUCoVipDB8C3H3vAQi\nkTv0QwhI9kDPa7JzcUHYhofug6o1cra7WNV7UodwZyiOipTBIDSpR5txaP0rHHsCEj3FraAE9jEs\n2bQueBqFGyRO74ZuaTj0t52hkfQtsl+qMCVF6eHkNwgg5Bu7zstOj4Y3T7URjkZp6ZYN6XwZHofe\nLKmvHTX5xgODMhzOPfdc3G7ZNGfNmjUqj0GhUIxf7O8v0zMNwz0N3TyYu6eD87JjFwTPspOOC5hB\nTuU6LILOeTL5upix9XqZ7Icwackod+okgAsh+yd074OOZ4ET0oAYicpWFtJIqXq3rGxVqALv3Grd\nr0EinMfrJUC3MLU6TM8Me5H6fVaUHh1RWaGo3OtB18Yu2CUzQdoxGgC8LhcBjxtdExh2uebZlUFm\nhiqYEQqOupylzKAMh29961up5/fee++ICaNQKBSjgwVCx/AvRu88SO7ZYUsqmPEWWZo1uKI4uQNC\ng+q1Mr7ejBYhDEqAYckqPi67os6k0R0dY8FW0jOVZqMHet6Cjpcgsl9ekzIvqdCuYuLkNlQsg8CC\ntDzDxk6KNhPQ+XJ6vFy3iYCkb0lGGd5J8+YrxhEdMRmqFMwzqz9auPMYLT6XjiYE75rZwFunwnhd\nOiunTy1q5+qJwrCvyIsvvsju3bvp7u6moqKC0047jWXLlhVTNoVCoRghpHKV9C3A3bUToXXIEpo5\ntzOh40UoXwKaiwJLLMn9fdMg9C5ofaJ4M8SukDRKUg3rijGjPlZKqJX1J/uFyCgpm/kcSHZCvFl6\nc3relBWsnNWpfIZi99CwFXpXEKrP6/UeDBMLeV/0vAnRI3mMBjsp2gxg+AtN4FcoRhanJ8KYGw52\nqJJDyCf7Sc+yvQpzq0LMrQqNgWTjhyEbDq2trXzyk5+kqakJK2OWTAjBqlWr+MEPfpCzt4NCoVCU\nHHo5Sd9C3LHnc1dXsmyvQ/QI9OyTYUaFKoVyYKhaBT1vyLELCZ1x5PHWk1akx4LenZFzVKoatHAi\n60+OF9JrYEalRyh2DKKHIXYUEm3paylIK/Ij1bHbyW2oPldWtSo4xyDD29D+fLpRXS7LVgPD8w4s\nV02GMApFaRFPGqkk5Arv2FVUgr4eh7VzZ1I+xsbMeGPIhsPmzZtpbW3lH//xHznjjDMoLy+ns7OT\nv/3tb9x7771873vf4/bbbx8JWRUKhaJ42Apesmw5rsgrCBHLnSSNkHX025+XYSgFewhsI0HzQs37\n4Ni/yTj83AX6B3MiUia9QiqbToWlQuRLPdVtpXWQ+/Wn6A8aSzZkswx5XawkGBEwu2SicLID4ifl\nX6NL/jWTaUeQwDbEnOEchXskSuDaIUrli2T51WIYlSlvw35ZAUrYXq8+x7bA0EmW2Z5+lRStKDEM\n0+JoZ1fWRyI4honRkJ3jALKakmJoDPmK/fnPf+bee+/l3HPPTS3z+/1cfPHFeL1evva1rynDQaFQ\nlD62kmW56jG883AldudJkrYVssjbMtehfHHhSpqT11A2R1ZZOvW/2crucGh9AsLPkSfmqj9h+j4X\nAkwTas6DwPx+ztepBdoDbc/KxGOhkUpMxn6eKkVbn38sZ3m8FZr/U45pJcFKyHHNqO05yCGyEPL6\nOV6PkfIuZGEbDe5KqLkARKFhbJC6AcwEtP9FGj057wuZFG245mC6p9uLlNGgKB0M0+TJ/Yc41tmd\ntXysQ5U8GaFKuiZw6aorwVAZsuHQ3t7OnDlzcq5bsGABra2thcqkUCgUo0PK63AGrtbXQRh5E1Ax\nDQg/C2XzQHNTsJLo5CFUnSPDlbr3pisvDf1EZMhOMTGROQPO+LnO1VlsxKDjb5CM5b4kFjKvw1vf\nzwHtwcwYRA5Iw8UZy/mriezNM1+MirHg4BhYOtReCJ6q4sz4O96GrjdkQnc+Y9LxNgTfKWVQ3gZF\nibH75Kk+RoNL08Z8hj/T4+Aaw+pO45khX7X6+npeeumlnOteeeUV6uv7+2FQKBSKEiJVmnUGhrcR\ndMitINu5DpHDsps0eRS6oR3c/uOCug8UHh+vCZkAXJSHLv8ONkxJIKv6pPYXGQ/79aB/bkTfsZwY\nJCdXwXKSnEci2XkwItqyVK2WYUoUGh4G6dyGGISfSXtX+pyfAB0Mt33POvIoFCXE0Y6uPssaq0Nj\nXs4/01jQ1edmWAzZ9Lvkkkv4+te/TktLC2eeeSbl5eV0dXXx/PPP88ADD7Bx48aRkFOhUChGCAuE\nRiKwEr11P4hk3uqsAIR3QmAhuMooPDTFVkDdVVB3MRz7FVhxhpXvYBVRiR6O58OyABOsXPsOVa7+\nxhprNDBMKJ8PVe+haCVQHW9Dx8sQPdpPwrwFhiAZPMs27FQJVkVp0RGNcapH9kiYWh6gPRZjRqiC\nM6dPHWPJsj0O+qDztxSZDNlwuPHGGzlx4gSbN2/OWi6EYP369dx0001FE06hUChGHsfrMBvD24ie\n3Js71yGzr0P781CzNsc2wzm8kLHsZY1Q815o/mNGidGxVprH+vglhpP74auXhl4xQtYgnVSd6JC5\nDXnHs3Mb9FkYnrnpZQpFifDmqTb+cuhY6vXyqbXUl5dOpU23ls5x0DT12RkOQzYcPB4P9913H7fc\ncgtNTU10dXURDAZZtmwZtbWqLbdCoRiH2CFCicDZ6G37QSTy68wCaP+rTJL2TqEoiqMT+lJ5NiTb\nZaJxocnSiuLiVFByBaF+vUyKLmpugZAhSvHW/N4GYYGlkyw/W/YUUbkNihLjUHtn1uuaMv8YSZIb\nj65ClQplWH6aWCxGd3c369at4/LLL2ft2rUcPHiQSCQy8M55eO211/jYxz7GypUrWbNmDTfffDOn\nTsnmPTt37uSqq67izDPP5LLLLmP79u1Z+27dupUPfOADrFy5kmuvvZampqbUung8zp133sl5553H\n6tWr+exnP0s4HB62nAqFYgLi5Dp4Z5L0Lu4/10EIWR609QnpKSiKcu+UMrWgZh0ET5NKqlOhSDG2\nOIad7of6y8E3tQhlb22ce6rnbej4P/J2iE7lNszD8M5Ly6VQlBDRRDL1fE5VCL3EEpAzcxw09fkZ\nFkN+R99++20uvvhifvzjH2ct/853vsOll17KoUOHhixEPB7nH/7hH1i1ahU7d+5k+/bttLS08NWv\nfpXm5mauv/56PvKRj7Bz505uu+027rjjjpRxsGPHDn74wx+yefNmnn32WdauXcunPvUpotEoAFu2\nbGHPnj1s27aNxx57DMuyuPXWW4cso0KhmOhIbS1RfjaW4QOtv0pCArr2QucraaWyYGyFUehQd4nM\nozDN3DIoRhHn/XXL8KTAPFK9MwrFCVEyYtD6uF3OFnJaDsIC002iYlUR7zmForhEbMNhdmWQc2Y1\njLE0ffG40qFK00PlYyjJ+GXIhsN9991HQ0MDn/70p/ssnzNnDt/+9reHLEQ0GuXmm2/mk5/8JG63\nm6qqKi644AL27t3L9u3bmTt3LuvXr8fj8bB69WrWrVvHww8/DMC2bdu48sorWb58OR6Ph+uuuw4h\nBDt27MAwDB599FFuuOEGpkyZQjAYZNOmTTzxxBM0NzcPWU6FQjGRsfs6uOtIBs7o59vRVtiEKb0O\n8bYCyqj2FsEeR/PIme2yeaQ7BytGndT7qsnKVxXLkHVqnUpPhY5vG6ftf4HIoX4SoqW3Iek/DdMz\nnaIZLgpFETFMi0hSGg61Zf4xr6CUC4+uc86sBpbU17C4ToXXD4ch/xq98MIL3H777TQ2NmYtnzFj\nBl/4whf429/+NmQhgsEgH/7wh9FsF9Jbb73Fb37zGy6++GKamppYunRp1vZLlixh165dALz66qss\nWbIktU4IweLFi9m1axcHDx6ks7OTxYsXp9Y3Njbi8/mywpkUCoVCYnsdAisxqQY9X/6Crbgl2qF1\nR0bIUrE8D5as2jTlSmk8GMrzMPo4SrwOdRdB6J2kjIhiYNljRQ7LnJa8tqdMiLbMEInyVfa+xRFB\noSgmkUQi9bzM4x5DSfpnbnUlZzRMQVfJ0cNiyMnRiUQCK4+LVNd1Ehk3zlA5evQoF1xwAaZpsmHD\nBm688UY+8YlPMHVqdgmvUChEW1sbAOFwmGAw2Gd9OBwmHA4jhCAUCmWtDwaDqf0Hi666CyomIM59\nre7vTGQCrFn5Hlxtv5f5DnkVOgE9TdDVKBXLoiWr2lqkJwDTPgQnfy+7Vmt6ccuu5j28fQ5OLwZL\n5On2bG/r9Fuwcs3E9x6LPGOJdAfozN4NRULYSoLQxMCqv9BsT49XhicFVyA9DcX6nFjyfM0YtP43\nEAdds9/bHNdPQCL0bnSvk5CtPq+KNKXyPR6LGKnnFT4PLpe6TyciQzYczjrrLL7//e9z7733UllZ\nmVp+4sQJ7r77bs4888xhC9PQ0MCrr77KwYMHueOOO/jCF74AkNdQGSyF7g8QDJZWZQCFopio+zsH\nlWeBdgCie2R5VpEnhMSyoOdpqGqUnZGLWunGAiohcDWc/AN0vFo83bVf7ApCPg/4PfnDpZxzdbnl\ndklPXgcNfmesPNfHOYZwg89tJ4cX+7zA5x1oJtR+TzUf1F8GFUtIG2pFEsi5Bs1PAiehzEtOY9AS\n4LLAMw9/w2qZ/6IYt5imxYsHj3GotYMZVUHOmlvcHICx/h4/EU0XyJleHyLg9YyhNIqRYsiGw5e+\n9CU++tGPsmbNGmbOnEkgEKCjo4PDhw9TVVXF1q1bCxZq1qxZ3HzzzWzcuJG1a9f2qYIUDoepqakB\noLq6uo/3IBwOs2DBAqqrq7Esi3A4jN+f/kC1t7dTXV09JJk6OiIYhjnMM1IoShNd1wgG/er+7oOc\n+RX62Xgi+xBWFxjk1huFALMNDv0epl0jy2TKFUWVhYqLIO6B8HP2ZPwIJsg6pUejcfDEBzYcEgmI\nxMHI1bzOfh2Jgx4f2HCIJuTDHGYjvHynpAl8XjfRWALLzDOm0GRCurtSGg2uRohEKaq15px/1244\n/gzyxoLcCdFgxX3Ey1ZhhaOq/Oo4Z19LG08fOALA26famR4I4HcPWQ3rQ6l8j59sk92iNSGIdceJ\n9ww/AkUx+lRVDa7fxpDv2Llz5/KHP/yBRx99lF27dtHR0UFjYyMbNmzgQx/6EFVVVUMW9rnnnuOr\nX/0q//Vf/5VaJoRACMHy5ct57LHHsrbftWsXK1asAGDZsmU0NTXxwQ9+EADTNNm9ezcbNmxg5syZ\nhEIhmpqamDZtGgB79+4lkUiwfPnyIcloGCbJpFKsFBMTdX/nwgRRg+Vfhafrf+Tsb75OvkJA11vQ\n/CeZRGtZ6cTXYsmCDtXvB61C5lUYSRkiZI3A+yaQhoPzSJ1PL5yqQJnbyhW9N+w1Vo5jOscYcKzh\n4aj+lmlh9jEcbIEsA3wzoO5S8E3JqGpVJAPNUfyjJ+DEH8FM9GMAytyGhP8sEtoUSDqWq0pwGC9Y\nlsXh9k6CPi8hn5e3Wtuz1rd1R3GXlxXteKP9Pd4RjdF0ooUFddXUlPnpiMYA8LtdGMYohFQqxoQh\nT6M8//zzBAIBPv7xj/O9732Pf/7nf+a+++7juuuuwzTNPkr+YFi2bBldXV1s3ryZaDRKa2srP/jB\nD1i5ciXXXHMNR48e5ZFHHiEej/Pkk0/y1FNPcfXVVwNwzTXX8Lvf/Y6XX36ZaDTKj370I7xeL+ed\ndx6aprFhwwbuv/9+jh8/TltbG1u2bOGCCy4YssdBoVBMNqRClwycgeF+hwwZyWcIOHH77X+F9hdH\nwBtgK4xCQNVqmHqVnBU3nV4CahZ62AgNmXNgQcVp0mvkm2IbZMW8rk4PkCg0/wckOwc0Ggx9FonA\nyvQyxbji7XAHfz5wmP958wBdsThHO7qy1nfF42MkWX4M0+RUTwTTsjDzfIc54d+P7zvIW23tPLn/\nEEnT5GC4A4Bqv2/U5FWMPkP2OHz0ox/lmWeeyal4Nzc38+Uvf5kLL7xwSGOWl5fz05/+lLvvvpvV\nq1dTVlbGqlWr+MY3vkF1dTU//vGPueeee7j77ruZPn06mzdvZv78+QCce+65fO5zn2PTpk20tray\nfPlyHnjgATweGVt300030dPTwxVXXIFhGJx//vncddddQz1thUIxWRE68eD5+FpPILROMHPN+mYY\nFaf+B9w1UDa7yKVUM44bWADuamj+L+jZN4KhS1Y6GTuft8VikMfNHGuA9aOCnYxtmrL8bc17oHKV\nzCMoegKyc84mtDwGPQdlYn2+66ZZWFaAePB9oHlViNI4ZddxWfY9ljT43Z43+6zvipWe4fDswaMc\nDHegawLTtHjXzAbm1aTzWfe2tPLCkRMsqqumxy6GE0kkea25lbgdJrWwVk3MTmSENcjMYadpmlMm\n1ev19tlm9+7dHD9+nL/85S/FlbIEaGvrVqEcigmHy6VRVRVQ93d/2Eqb3rMLb8d/ZITQ5MDJDXBX\nQ8O14KkeGaXPMUjMBLT+WeY9WMl01aJClW/nPKaul7PwA5HsgkMPgNFJ3hyHaR+BwPyBx4o1w5F/\nlhWHihiao2kCv99DJBKXb6FlK/OeehleVjbX3rKYIWbOkPY90Po0nHq8n34NyO0ExCsuIBlwSsAq\no2E88tumN+juVWlydmWQ9miMcDTGnKoQ7549fcBxjnd2YQHTKnI3LCvm9/i//t/uPstmBCtYMa2O\nkM/Lv728p9/9K31eLl7YWJI9HBT9U1dXMajtBu1xaGho4KWXXgJkToKWo414MBhUXZkVCsXEwm4C\nZviXkYwfwRV/SVZZylkFx5JKYaIVmv8gQ4p0P0VX/oRdulNzQ+17wT8TTu2A2InieB+cXSNvAy5p\nlORUBCxAA6MLrAESIXveshOe82WZW4Aur51l5FhfJISQfTGEJkvoVp8HrnKKXjnJwTHyOnfJhoFC\n9GMLyRClpHuZbEKoPA3jlkgi2cdoWFhbzZnTp/DUgcOEozEOtLVT5feypD67EZlhmjx94AhJyyTg\ndrOvVRaIuWjBXKrLRr9y0uGOThBw+rT6AbddVFejjIYJzqANhxtvvBGAdevW8cgjj6gcAYVCMYmw\nZ4GDa9Fam9Fch/s3HoSAnv0ylr3+CqngF9146BW65J0ObU9DxwvppFsp0DAGtxOYO16UORuDkidj\n395jAbQ/B2EGR96xCkBocjjTkmVzq8+H8kX2YUaqO7c9bs+bcPI/SRtN+fMaTOqJh9bh3HOK8UlL\nd0/W63KPmxXT6hFCUJ7RHO2loyeZFQpS7vUQTSYRCI51dkllvReH2jtH1HAw+vGmNnf1cKSXTH6X\nC10TdMWlgeR16cypCubaXTGBGHKOw44dO0ZCDoVCoSh9NB+x4AX42h7uJ98BuUzToLMVUnB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NgxpkyZQlNTUyrsyGHJkiXs2rULgFdffZUlS5ak1gkhWLx4Mbt27eLgwYN0dnayePHi1PrGxkZ8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\ntJY327owbZuWrjB1ZZMfBC9UbeFI9vsyz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EJ0Idi2TVPTeVpaJFFaXBjLtsmMX6eT4+Bz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\nlovPr+EP+wb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "split_date = '2017-06-01'\n", "fig, (ax1, ax2) = plt.subplots(2,1)\n", "ax1.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,7]])\n", "ax1.set_xticklabels('')\n", "ax2.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,7]])\n", "ax2.set_xticklabels([datetime.date(i,j,1).strftime('%b %Y') for i in range(2013,2019) for j in [1,7]])\n", "ax1.plot(market_info[market_info['Date'] < split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date'] < split_date]['bt_Close'], \n", " color='#B08FC7', label='Training')\n", "ax1.plot(market_info[market_info['Date'] >= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date'] >= split_date]['bt_Close'], \n", " color='#8FBAC8', label='Test')\n", "ax2.plot(market_info[market_info['Date'] < split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date'] < split_date]['eth_Close'], \n", " color='#B08FC7')\n", "ax2.plot(market_info[market_info['Date'] >= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date'] >= split_date]['eth_Close'], color='#8FBAC8')\n", "ax1.set_xticklabels('')\n", "ax1.set_ylabel('Bitcoin Price ($)',fontsize=12)\n", "ax2.set_ylabel('Ethereum Price ($)',fontsize=12)\n", "plt.tight_layout()\n", "ax1.legend(bbox_to_anchor=(0.03, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "fig.figimage(bitcoin_im.resize((int(bitcoin_im.size[0]*0.65), int(bitcoin_im.size[1]*0.65)), Image.ANTIALIAS), \n", " 200, 260, zorder=3,alpha=.5)\n", "fig.figimage(eth_im.resize((int(eth_im.size[0]*0.65), int(eth_im.size[1]*0.65)), Image.ANTIALIAS), \n", " 350, 40, zorder=3,alpha=.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see that the training period mostly consists of periods when cryptos were relatively cheaper. As such, the training data may not be representative of the test data, undermining the model's ability to generalise to unseen data (you could try to make your data stationary- discussed [here](https://dashee87.github.io/data%20science/general/A-Road-Incident-Model-Analysis/)). But why let negative realities get in the way of baseless optimism? Before we take our deep artificially intelligent machine learning model to the moon, it's worth discussing a simpler model. The most basic model is to set tomorrow's price equal to today's price (which we'll crudely call a lag model). This is how we'd define such a model in mathematical terms:\n", "\n", "\\begin{align}\n", "PredPrice_{t} & = ActualPrice_{t-1}\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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Jiezduxc/Pz/Cw8P13Y7yubu7ExqqG+AZFhaGu7u7fp9CocDNzY3Q0FCionQL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PQkmYeSHpnKpXETvnMISovLy479lXy+r4xDJXX+c1sr0CadwGiq/dZjvpOqAcVHbYudVXmv+Stn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jsrKSz3zmM/zkJz9h8+bN/PM//zMOh4PrrruO/v5+HA7HsNc7nU41AzIStNqRx1iyLLPlgJJl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\nY2jYLmIs1gINdct1/ObgOn8zcb1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# trivial lag model: P_t = P_(t-1)\n", "fig, (ax1, ax2) = plt.subplots(2,1)\n", "ax1.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax1.set_xticklabels('')\n", "ax2.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax2.set_xticklabels([datetime.date(2017,i+1,1).strftime('%b %d %Y') for i in range(12)])\n", "ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= split_date]['bt_Close'].values, label='Actual')\n", "ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= datetime.datetime.strptime(split_date, '%Y-%m-%d') - \n", " datetime.timedelta(days=1)]['bt_Close'][1:].values, label='Predicted')\n", "ax1.set_ylabel('Bitcoin Price ($)',fontsize=12)\n", "ax1.legend(bbox_to_anchor=(0.1, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "ax1.set_title('Simple Lag Model (Test Set)')\n", "ax2.set_ylabel('Etherum Price ($)',fontsize=12)\n", "ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= split_date]['eth_Close'].values, label='Actual')\n", "ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= datetime.datetime.strptime(split_date, '%Y-%m-%d') - \n", " datetime.timedelta(days=1)]['eth_Close'][1:].values, label='Predicted')\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Extending this trivial lag model, [stock prices are commonly treated as random walks](https://www.tcd.ie/Economics/assets/pdf/SER/2007/Samuel_Dupernex.pdf), which can be defined in these mathematical terms:\n", "\n", "\\begin{align}\n", "PredPrice_{t} & = ActualPrice_{t-1} * \\epsilon, \\epsilon \\sim N(\\mu, \\sigma)\n", "\\end{align}\n", "\n", "We'll determine μ and σ from the training sets and apply the random walk model to the Bitcoin and Ethereum test sets." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we may want to make sure the daily change in price follows a normal distribution. We'll plot the histogram of values." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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y8vKVm2u/De9i93yS/TPaLd/ZDnS75ZXsmakgu+czqTJqaSBsf7tntEu+kupT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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1,2)\n", "ax1.hist(market_info[market_info['Date']< split_date]['bt_day_diff'].values, bins=100)\n", "ax2.hist(market_info[market_info['Date']< split_date]['eth_day_diff'].values, bins=100)\n", "ax1.set_title('Bitcoin Daily Price Changes')\n", "ax2.set_title('Ethereum Daily Price Changes')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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veS8lJSWsXx/Orl07uHbtCtnZ2boxFAqFArVa89DrIIQQQoinkwQOotJVMzOi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(202)\n", "bt_r_walk_mean, bt_r_walk_sd = np.mean(market_info[market_info['Date']< split_date]['bt_day_diff'].values), \\\n", " np.std(market_info[market_info['Date']< split_date]['bt_day_diff'].values)\n", "bt_random_steps = np.random.normal(bt_r_walk_mean, bt_r_walk_sd, \n", " (max(market_info['Date']).to_pydatetime() - datetime.datetime.strptime(split_date, '%Y-%m-%d')).days + 1)\n", "eth_r_walk_mean, eth_r_walk_sd = np.mean(market_info[market_info['Date']< split_date]['eth_day_diff'].values), \\\n", " np.std(market_info[market_info['Date']< split_date]['eth_day_diff'].values)\n", "eth_random_steps = np.random.normal(eth_r_walk_mean, eth_r_walk_sd, \n", " (max(market_info['Date']).to_pydatetime() - datetime.datetime.strptime(split_date, '%Y-%m-%d')).days + 1)\n", "fig, (ax1, ax2) = plt.subplots(2,1)\n", "ax1.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax1.set_xticklabels('')\n", "ax2.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax2.set_xticklabels([datetime.date(2017,i+1,1).strftime('%b %d %Y') for i in range(12)])\n", "ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= split_date]['bt_Close'].values, label='Actual')\n", "ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[(market_info['Date']+ datetime.timedelta(days=1))>= split_date]['bt_Close'].values[1:] * \n", " (1+bt_random_steps), label='Predicted')\n", "ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= split_date]['eth_Close'].values, label='Actual')\n", "ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[(market_info['Date']+ datetime.timedelta(days=1))>= split_date]['eth_Close'].values[1:] * \n", " (1+eth_random_steps), label='Predicted')\n", "ax1.set_title('Single Point Random Walk (Test Set)')\n", "ax1.set_ylabel('Bitcoin Price ($)',fontsize=12)\n", "ax2.set_ylabel('Ethereum Price ($)',fontsize=12)\n", "ax1.legend(bbox_to_anchor=(0.1, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wow! Look at those prediction lines. Apart from a few kinks, it broadly tracks the actual closing price for each coin. It even captures the eth rises (and subsequent falls) in mid-June and late August. At this stage, if I was to announce the launch of sheehanCoin, I'm sure that ICO would stupidly over-subscribed. As pointed out on that other blog, models that only make predictions one point into the future are often misleadingly accurate, as errors aren't carried over to subsequent predictions. No matter how large the error, it's essentially reset at each time point, as the model is fed the true price. The Bitcoin random walk is particularly deceptive, as the scale of the y-axis is quite wide, making the prediction line appear quite smooth.\n", "\n", "Single point predictions are unfortunately quite common when evaluating time series models (e.g.[here](https://medium.com/@binsumi/neural-networks-and-bitcoin-d452bfd7757e) and [here](https://blog.statsbot.co/time-series-prediction-using-recurrent-neural-networks-lstms-807fa6ca7f)). A better idea could be to measure its accuracy on multi-point predictions. That way, errors from previous predictions aren't reset but rather are compounded by subsequent predictions. Thus, poor models are penalised more heavily. In mathematical terms:\n", "\n", "\\begin{align}\n", "PredPrice_{t} & = PredPrice_{t-1} * \\epsilon, \\epsilon \\sim N(\\mu, \\sigma)\\ \\& \\ PredPrice_0 = Price_0\n", "\\end{align}\n", "\n", "Let's get our random walk model to predict the closing prices over the total test set." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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6ya6TlY/kvHKSvD/9JMeVT2XL+byVYZw8f1P3e1vvGrz5QgMUCm3xkJyWw1f/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CDrVoLPudtpd9lZe/hd7ywtBm0g2ZFZhOqDCdWHEKoPJVTnedx5l3Nn1R6+Lt/pc8c9RBfM/KRZ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\niK/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u+HVM9oob6aGOqbwyNVprmpL3OI9GuJoFeTty9BTUtnRjMputaUoeLrYE+1w9n72C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\nYwA4e/Yszp49iw8++AD9+vWDlZUV5syZg9T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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bt_random_walk = []\n", "eth_random_walk = []\n", "for n_step, (bt_step, eth_step) in enumerate(zip(bt_random_steps, eth_random_steps)):\n", " if n_step==0:\n", " bt_random_walk.append(market_info[market_info['Date']< split_date]['bt_Close'].values[0] * (bt_step+1))\n", " eth_random_walk.append(market_info[market_info['Date']< split_date]['eth_Close'].values[0] * (eth_step+1))\n", " else:\n", " bt_random_walk.append(bt_random_walk[n_step-1] * (bt_step+1))\n", " eth_random_walk.append(eth_random_walk[n_step-1] * (eth_step+1))\n", "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "ax1.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax1.set_xticklabels('')\n", "ax2.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax2.set_xticklabels([datetime.date(2017,i+1,1).strftime('%b %d %Y') for i in range(12)])\n", "ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= split_date]['bt_Close'].values, label='Actual')\n", "ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " bt_random_walk[::-1], label='Predicted')\n", "ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= split_date]['eth_Close'].values, label='Actual')\n", "ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " eth_random_walk[::-1], label='Predicted')\n", "\n", "ax1.set_title('Full Interval Random Walk')\n", "ax1.set_ylabel('Bitcoin Price ($)',fontsize=12)\n", "ax2.set_ylabel('Ethereum Price ($)',fontsize=12)\n", "ax1.legend(bbox_to_anchor=(0.1, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model predictions are extremely sensitive to the random seed. I've selected one where the full interval random walk looks almost decent for Ethereum. In the [accompanying Jupyter notebook](https://github.com/dashee87/blogScripts/blob/master/Jupyter/2017-11-20-predicting-cryptocurrency-prices-with-deep-learning.ipynb), you can interactively play around with the seed value below to see how badly it can perform." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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zZ87selWni1X3PBDXnrLnwM/H1/Db8T8B2JcYR1p6Dg6K3C29Fsn/vpBzoOb5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cAAAg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\nCCGEEEIIMToKRAghhBBCCCFGR4EIIYQQQgghxOgoECFNzrJlyzB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from ipywidgets import interact, interactive, fixed, interact_manual\n", "import ipywidgets as widgets\n", "\n", "def plot_func(freq):\n", " np.random.seed(freq)\n", " random_steps = np.random.normal(eth_r_walk_mean, eth_r_walk_sd, \n", " (max(market_info['Date']).to_pydatetime() - datetime.datetime.strptime(split_date, '%Y-%m-%d')).days + 1)\n", " random_walk = []\n", " for n_step,i in enumerate(random_steps):\n", " if n_step==0:\n", " random_walk.append(market_info[market_info['Date']< split_date]['eth_Close'].values[0] * (i+1))\n", " else:\n", " random_walk.append(random_walk[n_step-1] * (i+1))\n", " fig, (ax1, ax2) = plt.subplots(2,1)\n", " ax1.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", " ax1.set_xticklabels('')\n", " ax2.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", " ax2.set_xticklabels([datetime.date(2017,i+1,1).strftime('%b %d %Y') for i in range(12)])\n", " ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[market_info['Date']>= split_date]['eth_Close'].values, label='Actual')\n", " ax1.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[(market_info['Date']+ datetime.timedelta(days=1))>= split_date]['eth_Close'].values[1:] * \n", " (1+random_steps), label='Predicted')\n", " ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " market_info[(market_info['Date']+ datetime.timedelta(days=1))>= split_date]['eth_Close'].values[1:] * \n", " (1+random_steps))\n", " ax2.plot(market_info[market_info['Date']>= split_date]['Date'].astype(datetime.datetime),\n", " random_walk[::-1])\n", " ax1.set_title('Single Point Random Walk')\n", " ax1.set_ylabel('')\n", " # for static figures, you may wish to insert the random seed value\n", "# ax1.annotate('Random Seed: %d'%freq, xy=(0.75, 0.2), xycoords='axes fraction',\n", "# xytext=(0.75, 0.2), textcoords='axes fraction')\n", " ax1.legend(bbox_to_anchor=(0.1, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", " ax2.set_title('Full Interval Random Walk')\n", " fig.text(0.0, 0.5, 'Ethereum Price ($)', va='center', rotation='vertical',fontsize=12)\n", " plt.tight_layout()\n", "# plt.savefig('image%d.png'%freq, bbox_inches='tight')\n", " plt.show()\n", " \n", "interact(plot_func, freq =widgets.IntSlider(min=200,max=210,step=1,value=205, description='Random Seed:'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the single point random walk always looks quite accurate, even though there's no real substance behind it. Hopefully, you'll be more suspicious of any blog that claims to accurately predict prices. I probably shouldn't worry; it's not like crypto fans to be seduced by [slick marketing claims](https://uetoken.com/)." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Long Short Term Memory (LSTM)\n", "\n", "Like I said, if you're interested in the theory behind LSTMs, then I'll refer you to [this](http://colah.github.io/posts/2015-08-Understanding-LSTMs/), [this](http://blog.echen.me/2017/05/30/exploring-lstms/) and [this](http://www.bioinf.jku.at/publications/older/2604.pdf). Luckily, we don't need to build the network from scratch (or even understand it), there exists packages that include standard implementations of various deep learning algorithms (e.g. [TensorFlow](https://www.tensorflow.org/get_started/get_started), [Keras](https://keras.io/#keras-the-python-deep-learning-library), [PyTorch](http://pytorch.org/), etc.). I'll opt for Keras, as I find it the most intuitive for non-experts. If you're not familiar with Keras, then check out my [previous tutorial](https://dashee87.github.io/data%20science/deep%20learning/python/another-keras-tutorial-for-neural-network-beginners/)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "for coins in ['bt_', 'eth_']: \n", " kwargs = { coins+'close_off_high': lambda x: 2*(x[coins+'High']- x[coins+'Close'])/(x[coins+'High']-x[coins+'Low'])-1,\n", " coins+'volatility': lambda x: (x[coins+'High']- x[coins+'Low'])/(x[coins+'Open'])}\n", " market_info = market_info.assign(**kwargs)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Datebt_Closebt_Volumebt_close_off_highbt_volatilityeth_Closeeth_Volumeeth_close_off_higheth_volatility
6902016-01-01434.3336278900-0.5606410.0202920.948024206062-0.4184770.025040
6892016-01-02433.44300966000.2505970.0096410.9371242555040.9658980.034913
6882016-01-03430.0139633800-0.1738650.0208270.971905407632-0.3178850.060792
6872016-01-04433.0938477500-0.4742650.0126490.954480346245-0.0576570.047943
6862016-01-05431.9634522600-0.0133330.0103910.9501762198330.6979300.025236
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" ], "text/plain": [ " Date bt_Close bt_Volume bt_close_off_high bt_volatility \\\n", "690 2016-01-01 434.33 36278900 -0.560641 0.020292 \n", "689 2016-01-02 433.44 30096600 0.250597 0.009641 \n", "688 2016-01-03 430.01 39633800 -0.173865 0.020827 \n", "687 2016-01-04 433.09 38477500 -0.474265 0.012649 \n", "686 2016-01-05 431.96 34522600 -0.013333 0.010391 \n", "\n", " eth_Close eth_Volume eth_close_off_high eth_volatility \n", "690 0.948024 206062 -0.418477 0.025040 \n", "689 0.937124 255504 0.965898 0.034913 \n", "688 0.971905 407632 -0.317885 0.060792 \n", "687 0.954480 346245 -0.057657 0.047943 \n", "686 0.950176 219833 0.697930 0.025236 " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_data = market_info[['Date']+[coin+metric for coin in ['bt_', 'eth_'] \n", " for metric in ['Close','Volume','close_off_high','volatility']]]\n", "# need to reverse the data frame so that subsequent rows represent later timepoints\n", "model_data = model_data.sort_values(by='Date')\n", "model_data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I've created a new data frame called `model_data`. I've removed some of the previous columns (open price, daily highs and lows) and reformulated some new ones. `close_off_high` represents the gap between the closing price and price high for that day, where values of -1 and 1 mean the closing price was equal to the daily low or daily high, respectively. The `volatility` columns are simply the difference between high and low price divided by the opening price. You may also notice that `model_data` is arranged in order of earliest to latest. We don't actually need the date column anymore, as that information won't be fed into the model.\n", "\n", "Our LSTM model will use previous data (both bitcoin and eth) to predict the next day's closing price of a specific coin. We must decide how many previous days it will have access to. Again, it's rather arbitrary, but I'll opt for 10 days, as it's a nice round number. We build little data frames consisting of 10 consecutive days of data (called windows), so the first window will consist of the 0-9th rows of the training set (Python is zero-indexed), the second will be the rows 1-10, etc. Picking a small window size means we can feed more windows into our model; the downside is that the model may not have sufficient information to detect complex long term behaviours (if such things exist). \n", "\n", "Deep learning models don't like inputs that vary wildly. Looking at those columns, some values range between -1 and 1, while others are on the scale of millions. We need to normalise the data, so that our inputs are somewhat consistent. Typically, you want values between -1 and 1. The `off_high` and `volatility` columns are fine as they are. For the remaining columns, like that [other blog post](http://www.jakob-aungiers.com/articles/a/Multidimensional-LSTM-Networks-to-Predict-Bitcoin-Price), we'll normalise the inputs to the first value in the window." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# we don't need the date columns anymore\n", "training_set, test_set = model_data[model_data['Date']=split_date]\n", "training_set = training_set.drop('Date', 1)\n", "test_set = test_set.drop('Date', 1)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "window_len = 10\n", "norm_cols = [coin+metric for coin in ['bt_', 'eth_'] for metric in ['Close','Volume']]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "LSTM_training_inputs = []\n", "for i in range(len(training_set)-window_len):\n", " temp_set = training_set[i:(i+window_len)].copy()\n", " for col in norm_cols:\n", " temp_set.loc[:, col] = temp_set[col]/temp_set[col].iloc[0] - 1\n", " LSTM_training_inputs.append(temp_set)\n", "LSTM_training_outputs = (training_set['eth_Close'][window_len:].values/training_set['eth_Close'][:-window_len].values)-1" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "LSTM_test_inputs = []\n", "for i in range(len(test_set)-window_len):\n", " temp_set = test_set[i:(i+window_len)].copy()\n", " for col in norm_cols:\n", " temp_set.loc[:, col] = temp_set[col]/temp_set[col].iloc[0] - 1\n", " LSTM_test_inputs.append(temp_set)\n", "LSTM_test_outputs = (test_set['eth_Close'][window_len:].values/test_set['eth_Close'][:-window_len].values)-1" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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bt_Closebt_Volumebt_close_off_highbt_volatilityeth_Closeeth_Volumeeth_close_off_higheth_volatility
6900.0000000.000000-0.5606410.0202920.0000000.000000-0.4184770.025040
689-0.002049-0.1704100.2505970.009641-0.0114980.2399370.9658980.034913
688-0.0099460.092475-0.1738650.0208270.0251900.978201-0.3178850.060792
687-0.0028550.060603-0.4742650.0126490.0068100.680295-0.0576570.047943
686-0.005457-0.048411-0.0133330.0103910.0022700.0668290.6979300.025236
685-0.012019-0.061645-0.0036230.0127820.0029910.498534-0.2145400.026263
6840.0546131.413585-0.9514990.069045-0.0063492.1420740.6816440.040587
6830.0435150.5709680.2941960.0327620.0408901.647747-0.8067170.055274
6820.030576-0.1102820.8141940.0170940.0409370.098121-0.4118970.019021
6810.031451-0.007801-0.9195980.0177580.0540140.896944-0.9382350.025266
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" ], "text/plain": [ " bt_Close bt_Volume bt_close_off_high bt_volatility eth_Close \\\n", "690 0.000000 0.000000 -0.560641 0.020292 0.000000 \n", "689 -0.002049 -0.170410 0.250597 0.009641 -0.011498 \n", "688 -0.009946 0.092475 -0.173865 0.020827 0.025190 \n", "687 -0.002855 0.060603 -0.474265 0.012649 0.006810 \n", "686 -0.005457 -0.048411 -0.013333 0.010391 0.002270 \n", "685 -0.012019 -0.061645 -0.003623 0.012782 0.002991 \n", "684 0.054613 1.413585 -0.951499 0.069045 -0.006349 \n", "683 0.043515 0.570968 0.294196 0.032762 0.040890 \n", "682 0.030576 -0.110282 0.814194 0.017094 0.040937 \n", "681 0.031451 -0.007801 -0.919598 0.017758 0.054014 \n", "\n", " eth_Volume eth_close_off_high eth_volatility \n", "690 0.000000 -0.418477 0.025040 \n", "689 0.239937 0.965898 0.034913 \n", "688 0.978201 -0.317885 0.060792 \n", "687 0.680295 -0.057657 0.047943 \n", "686 0.066829 0.697930 0.025236 \n", "685 0.498534 -0.214540 0.026263 \n", "684 2.142074 0.681644 0.040587 \n", "683 1.647747 -0.806717 0.055274 \n", "682 0.098121 -0.411897 0.019021 \n", "681 0.896944 -0.938235 0.025266 " ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "LSTM_training_inputs[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This table represents an example of our LSTM model input (we'll actually have hundreds of similar tables). We've normalised some columns so that their values are equal to 0 in the first time point, so we're aiming to predict changes in price relative to this timepoint. We're now ready to build the LSTM model. This is actually quite straightforward with Keras, you simply stack componenets on top of each other (better explained [here](https://dashee87.github.io/data%20science/deep%20learning/python/another-keras-tutorial-for-neural-network-beginners/))." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# I find it easier to work with numpy arrays rather than pandas dataframes\n", "# especially as we now only have numerical data\n", "LSTM_training_inputs = [np.array(LSTM_training_input) for LSTM_training_input in LSTM_training_inputs]\n", "LSTM_training_inputs = np.array(LSTM_training_inputs)\n", "\n", "LSTM_test_inputs = [np.array(LSTM_test_inputs) for LSTM_test_inputs in LSTM_test_inputs]\n", "LSTM_test_inputs = np.array(LSTM_test_inputs)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] } ], "source": [ "# import the relevant Keras modules\n", "from keras.models import Sequential\n", "from keras.layers import Activation, Dense\n", "from keras.layers import LSTM\n", "from keras.layers import Dropout\n", "\n", "def build_model(inputs, output_size, neurons, activ_func=\"linear\",\n", " dropout=0.25, loss=\"mae\", optimizer=\"adam\"):\n", " model = Sequential()\n", "\n", " model.add(LSTM(neurons, input_shape=(inputs.shape[1], inputs.shape[2])))\n", " model.add(Dropout(dropout))\n", " model.add(Dense(units=output_size))\n", " model.add(Activation(activ_func))\n", "\n", " model.compile(loss=loss, optimizer=optimizer)\n", " return model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, the `build_model` functions constructs an empty model unimaginatively called model (`model = Sequential`), to which an LSTM layer is added. That layer has been shaped to fit our inputs (n x m tables, where n and m represent the number of timepoints/rows and columns, respectively). The function also includes more generic neural network features, like [dropout](https://machinelearningmastery.com/dropout-regularization-deep-learning-models-keras/) and [activation functions](https://dashee87.github.io/data%20science/deep%20learning/visualising-activation-functions-in-neural-networks/). Now, we just need to specify the number of neurons to place in the LSTM layer (I've opted for 20 to keep runtime reasonable), as well as the data on which the model will be trained." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/50\n", "6s - loss: 0.1648\n", "Epoch 2/50\n", "6s - loss: 0.1117\n", "Epoch 3/50\n", "6s - loss: 0.1064\n", "Epoch 4/50\n", "4s - loss: 0.0952\n", "Epoch 5/50\n", "4s - loss: 0.0870\n", "Epoch 6/50\n", "4s - loss: 0.0848\n", "Epoch 7/50\n", "5s - loss: 0.0835\n", "Epoch 8/50\n", "4s - loss: 0.0801\n", "Epoch 9/50\n", "4s - loss: 0.0788\n", "Epoch 10/50\n", "4s - loss: 0.0784\n", "Epoch 11/50\n", "4s - loss: 0.0752\n", "Epoch 12/50\n", "4s - loss: 0.0743\n", "Epoch 13/50\n", "4s - loss: 0.0740\n", "Epoch 14/50\n", "4s - loss: 0.0690\n", "Epoch 15/50\n", "4s - loss: 0.0675\n", "Epoch 16/50\n", "4s - loss: 0.0691\n", "Epoch 17/50\n", "4s - loss: 0.0746\n", "Epoch 18/50\n", "4s - loss: 0.0682\n", "Epoch 19/50\n", "4s - loss: 0.0705\n", "Epoch 20/50\n", "4s - loss: 0.0710\n", "Epoch 21/50\n", "4s - loss: 0.0680\n", "Epoch 22/50\n", "4s - loss: 0.0714\n", "Epoch 23/50\n", "4s - loss: 0.0676\n", "Epoch 24/50\n", "4s - loss: 0.0665\n", "Epoch 25/50\n", "4s - loss: 0.0692\n", "Epoch 26/50\n", "4s - loss: 0.0658\n", "Epoch 27/50\n", "4s - loss: 0.0654\n", "Epoch 28/50\n", "4s - loss: 0.0652\n", "Epoch 29/50\n", "4s - loss: 0.0685\n", "Epoch 30/50\n", "4s - loss: 0.0686\n", "Epoch 31/50\n", "4s - loss: 0.0666\n", "Epoch 32/50\n", "5s - loss: 0.0689\n", "Epoch 33/50\n", "4s - loss: 0.0695\n", "Epoch 34/50\n", "4s - loss: 0.0688\n", "Epoch 35/50\n", "4s - loss: 0.0655\n", "Epoch 36/50\n", "4s - loss: 0.0676\n", "Epoch 37/50\n", "4s - loss: 0.0655\n", "Epoch 38/50\n", "4s - loss: 0.0660\n", "Epoch 39/50\n", "4s - loss: 0.0676\n", "Epoch 40/50\n", "4s - loss: 0.0658\n", "Epoch 41/50\n", "4s - loss: 0.0668\n", "Epoch 42/50\n", "4s - loss: 0.0663\n", "Epoch 43/50\n", "4s - loss: 0.0646\n", "Epoch 44/50\n", "4s - loss: 0.0657\n", "Epoch 45/50\n", "4s - loss: 0.0651\n", "Epoch 46/50\n", "4s - loss: 0.0661\n", "Epoch 47/50\n", "4s - loss: 0.0666\n", "Epoch 48/50\n", "4s - loss: 0.0633\n", "Epoch 49/50\n", "4s - loss: 0.0663\n", "Epoch 50/50\n", "4s - loss: 0.0625\n" ] } ], "source": [ "# random seed for reproducibility\n", "np.random.seed(202)\n", "# initialise model architecture\n", "eth_model = build_model(LSTM_training_inputs, output_size=1, neurons = 20)\n", "# model output is next price normalised to 10th previous closing price\n", "LSTM_training_outputs = (training_set['eth_Close'][window_len:].values/training_set['eth_Close'][:-window_len].values)-1\n", "# train model on data\n", "# note: eth_history contains information on the training error per epoch\n", "eth_history = eth_model.fit(LSTM_training_inputs, LSTM_training_outputs, \n", " epochs=50, batch_size=1, verbose=2, shuffle=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If everything went to plan, then we'd expect the training error to have gradually decreased over time." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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AAADUlltB+LfffpPD4ah0bcaMGVXCsaSAD4euFWGH06miknIfVwMAAIDaqvVo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1,1)\n", "\n", "ax1.plot(eth_history.epoch, eth_history.history['loss'])\n", "ax1.set_title('Training Error')\n", "\n", "if eth_model.loss == 'mae':\n", " ax1.set_ylabel('Mean Absolute Error (MAE)',fontsize=12)\n", "# just in case you decided to change the model loss calculation\n", "else:\n", " ax1.set_ylabel('Model Loss',fontsize=12)\n", "ax1.set_xlabel('# Epochs',fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've just built an LSTM model to predict tomorrow's Ethereum closing price. Let's see how well it performs. We start by examining its performance on the training set (data before June 2017). That number below the code represents the model's mean absolute error (mae) on the training set after the 50th training iteration (or epoch). Instead of relative changes, we can view the model output as daily closing prices." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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a1I1Ro76mfPkKeHrW5quvxhMUdJX9+/dlWW/p0kW0a9eBrl27U7p0GZo2bU6f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\nqKgoRowY4ah5++ijjxgxYoTTtocOHSIyMpLS0tI6a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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes\n", "from mpl_toolkits.axes_grid1.inset_locator import mark_inset\n", "\n", "fig, ax1 = plt.subplots(1,1)\n", "ax1.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,5,9]])\n", "ax1.set_xticklabels([datetime.date(i,j,1).strftime('%b %Y') for i in range(2013,2019) for j in [1,5,9]])\n", "ax1.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " training_set['eth_Close'][window_len:], label='Actual')\n", "ax1.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " ((np.transpose(eth_model.predict(LSTM_training_inputs))+1) * training_set['eth_Close'].values[:-window_len])[0], \n", " label='Predicted')\n", "ax1.set_title('Training Set: Single Timepoint Prediction')\n", "ax1.set_ylabel('Ethereum Price ($)',fontsize=12)\n", "ax1.legend(bbox_to_anchor=(0.15, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "ax1.annotate('MAE: %.4f'%np.mean(np.abs((np.transpose(eth_model.predict(LSTM_training_inputs))+1)-\\\n", " (training_set['eth_Close'].values[window_len:])/(training_set['eth_Close'].values[:-window_len]))), \n", " xy=(0.75, 0.9), xycoords='axes fraction',\n", " xytext=(0.75, 0.9), textcoords='axes fraction')\n", "# figure inset code taken from http://akuederle.com/matplotlib-zoomed-up-inset\n", "axins = zoomed_inset_axes(ax1, 3.35, loc=10) # zoom-factor: 3.35, location: centre\n", "axins.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,5,9]])\n", "axins.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " training_set['eth_Close'][window_len:], label='Actual')\n", "axins.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " ((np.transpose(eth_model.predict(LSTM_training_inputs))+1) * training_set['eth_Close'].values[:-window_len])[0], \n", " label='Predicted')\n", "axins.set_xlim([datetime.date(2017, 3, 1), datetime.date(2017, 5, 1)])\n", "axins.set_ylim([10,60])\n", "axins.set_xticklabels('')\n", "mark_inset(ax1, axins, loc1=1, loc2=3, fc=\"none\", ec=\"0.5\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shouldn't be too surprised by its apparent accuracy here. The model could access the source of its error and adjust itself accordingly. In fact, it's not hard to attain almost zero training errors. We could just cram in hundreds of neurons and train for thousands of epochs (a process known as overfitting, where you're essentially predicting noise- I included the `Dropout()` call in the `build_model` function to mitigate this risk for our relatively small model). We should be more interested in its performance on the test dataset, as this represents completely new data for the model." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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fPwlFUZg8+T0mT56E0Wjgo4+m2c1xO3nyNJo1a8F33y3h7bdHsH37FiZMeJ+X\nX36FJ59sz6lTfzFt2kdae1lSVwghhMigqI5GsDxmwsKyX3Bh4q9TbLK27zd7h+IeAQ+zWwVSYRk8\nJmzJ+1o4yftaOMj7WDjJ+5p7AQHe2baRjG0OmFQTcWm2S6wmScZWCCGEEKJAkcA2B+LTEjCptt+m\nJLAVQgghhChYJLDNAes5bC1kyi8hhBBCiIJFAtsccBTYyuAxIYQQQoiCRQLbHLAeNGYhpQhCCCGE\nEAWLBLY5EJs+1ZeLkzMeevPyqklSiiCEEEIIUaBIYJsD0ekZWx9XH9y1wFYytkIIIYQQBYk+vzvw\nKLBkbH1dfEgxpgAS2AohhBBCFDQS2OaApcbW19WbuFTzSk8S2AohhBBCFCwS2OaAZVYEX1cfDCYj\nIDW2QgghhMXHH3/A1q2b6NbtaSZOfN9hmwkTxvDrr/sYOHAwr746yG7/1KkfsmXLRvr1G8CQIW9m\nul9RFBwtmqooCrt2HcDZ2TnH/T5x4jhffbWAc+fOoNc707RpM4YPH0OxYsWyPG7DhnX8/POP3Lp1\nA1/fInTq1IXBg4eh1+uz7KuiKGzcuAMfH18ALl68yIwZszhx4jjx8XGULVuO559/iWef7WlzvuTk\nZKZP/4Rt2zbz9tsT7PaLDBLYZsOkmohNzShFSEwzB7SSsRVCCCHMFEXBzc2dvXt3M3r0ONzc3Gz2\nx8RE89tvB3Fzc3d4fGJiInv27KJq1Wps27aZ118fhqIodu38/Pz57rtgwD6wBXIV1P7zzzXGjHmT\nDh06M27ce8TERDN37izGjBnON9/8gE6nc3jcli0b+fzzqQwfPprWrZ/k0qWLfPrpFJKSkhkzZpzW\nrnbtukydOt2ur5ag9vbtW7z66ssEBdVn5sx5uLm5sX79GqZP/wSdTsfTTz8LwOXLl3j//QkoiuLw\nmghbMngsGwlpidqqY76uPrjrzX+sEtgKIYQQGapXr4Fer2f37h12+3bs2ErZsuUoUsTP4bE7d24D\nVCZM+B/h4WEcOnTAYTtFUfDz88PPz9/hf7nxww9LKVLEj3Hj3qNcufLUrl2Xd9/9gCtXLrF3765M\nj1u6dAmdOnWhV6/elCxZilat2vDaa0NYv34N4eHhWjtnZ2eHfbX49dd96HQ6pkyZRtWq1ShbthxD\nh75FmTJl2b9/r835mjZtwbRpMx1mqoUtCWyzYb04g4+Lt1VgK6UIQgghhIVOp6N585Zs3rzBbt+W\nLZto1eqvIGAxAAAgAElEQVRJMsu0btwYQps2balePZDateuyaVPIA/Vly5aNtGnThH/+uZZpmyNH\nDtOkSTOcnDJCofLlK1CqVGl+++2gw2Nu3LjOrVs3adaspc32Zs1aYDKZ+P33QznuY69evTl48KBd\nlllRFK2kAWDIkDcZPnxUphlkYUsC22xYL85QxGq6r2RjinxzEkIIIax06tSVEyf+5ObNG9q2K1cu\ncfHieTp16uLwmMuXL3H27Gmeesp86/2pp57h0KEDREdH33c/OnToTEjIVsqVK+9wf1JSEuHhYZQp\nU9ZuX9my5bh27arD4/755xqKotgdV6JESZydnTM9LicSExNZunQJ4eHh9O79srbdUR9F5iSwzUZM\n+lRfAD4uGaUIJtVEijE1v7ol8sCWLRtp3bqx3X9t2zbj+eefZurUD20+nB+2994bS+vWjQkNDbXp\n35YtG/+1PmRn9eoVBa5PQoiCo3Hjpvj5+bNp03pt2+bNG6lUqQqVK1d1eMzGjSGULl2GBg0aAeag\n1NnZmW3bNtm1jYqKpFOnNnb/de78JF999aXWzsXFBT8//0xrUhMSEgDw8PC02+fh4UlCQnwmx8Vn\ncZyHzXFRUZF8/PEHvPRSD55+uhNjx47i4sULDp+zU6c2dOnyJNu3b2HWrPnUqRPk8PwiezJ4LBux\n6RlbZydn3PVuuOkzCuKTDEm46V3zq2siDyiKQt++/6Fdu47atoSEeM6dO8Py5d/xyy+7WbDga6pU\ncfyBnMe9sfkQbtmyDUuWfE+pUqVz/UzvvvsOnp5emY5OfhAyeEEIkRmdTkeHDp3ZunUTgwcPxWQy\nsWPHVl56qa/D9mlpaezYsYVevfpo29zd3WnXriObN2/gpZf62bT39S3CokXfOrxj6u3tk7cv5gF4\nenqhqir16jWgX78BhIXd4ZtvFvPGGwP59tsfbTLJHh6eLF36I9HR0WzaFMKoUUOZOvVzGjdulo+v\n4NElgW02tKm+XLxRFEVbUhfMA8gcl8GLR4WqqhQvXoIaNQJttjdo0Ii6devxxhv/ZdGieXz22ex/\nvW8+Pj74+OT+g1pVVY4f/4OWLds8hF4JIUTWunTpxurVP/P7779hNBqIjo6iU6euDtv+8stuYmJi\n+PrrRSxZslDbbvkCffbsaWrWfELb7uTkROnSZR64j15eXgAOM7MJCfGZBsleXt7pbRLs9iUmJmrH\nvfXWGJt9FStWombN2vTs+RTLl3/H+PGTtH2W0oYyZcryxBO1CQ8P54svZvL99yvu78U95iSwzUaM\nZaovV/Mvq7tNxrbwzoyQZEgiNCHMbrtepxBucicuNgmDMf9qjEt6Bmj1zg9L7dp1CQgozl9/HQcy\n5mn85pvlzJgxjYsXz/PVV8uoXLkKYB7Vu3r1Ci5duoiqmihTpixdujzFiy/2sRkIEBUVyRdfzOTw\n4UOkpqZQpUo1Bg4cbHf+LVs2MnXqh0yc+D7duj2tbT948FeCg3/gwoVzKIoTlStX4eWXX6F585b8\n+ecxRowYgqIobNmyka1bN/Hqq4O0OSPPnj3Nd999zalTf5GQkEDRosXSR/QOxs8v49aa0WhkyZKF\nbNu2mejoKEqUKMlzz72ATqeT2nIhRJYCA2tRrlx5du7chsFgoE6dIAICijtsu2nTeho0aMSIEWPs\nPlv+97/xbNq03iawzStubm4UL17CYbnZ9ev/0KhRE4fHVahQEVVVuXnzOk88UVvbfvv2LdLS0qhY\nsVKm5/Ty8qJkyZKEhZn/bT1x4jjOzlCrVj2bdpUrV+HwYceD10T2JLDNhiVj6+MwsC2cMyMkGZKY\ndHBagX597np3Pmox/qEHt87OzhiN5uneLHMIzpkznY4dOzNixGitTOCHH5ayaNF82rRpy5Qpn6LX\n6zl48FcWLZrHxYvnef/9KYA5m/r2229x+fJFXn11EHXr1uPOnVDmz5+NwWCwO/+9t/23bdvMlCnv\n07lzV1555TVMJhOrVgUzbtwoPvroU5o0aca0aTMZP340LVu2ZuDAwRQtap5o/MSJPxk1ahjly1dk\n1KhxFCsWwPnzZ/j22yUcOXKYdevWaueZP382K1cG07XrU3Tu3JXk5GTWr1/LnTuhUooghMhW587d\nWLt2FampqQ4XWwBzMHjs2BEmTnzfYblXhw6dWbkymBEjxuDi4pLnfWzevBUHD+7HaDRqMw5cuHCO\nO3dCadXK8R2v0qXLUKFCRQ4c2Efnzt207fv27UGv19O0aQvS0tKYPftzmjRpxpNPttfaxMbGcPPm\nDRo2NAfNGzeu58CBfaxduwmdLmNmhIsXL2if2yL3JLDNhnUpAmATSBXmjK2AmzdvEBp6WxvQYFGt\nWg1eeKG39jgqKopvv/2Khg0b8/HHn2vbGzZsTFpaKuvWraZXr97UqlWbI0cOc+HCOXr16s2AAf/V\n2tapE0Tfvs9n2R+TycSXX86levVAJk36SNturuF6gfXr1/Lkk+20fyB8fHypXj2jxGLOnOl4enrx\nxRdfahOEBwXVo3jxEkyaNJ7ly5fzwgt9SUxMZN26NVSrVp133/1AO75581a8/HKvXFxBIcTjqkuX\n/+Prrxeh1+ttxjBY27gxBGdnZ9q0aetwf/v2nVi6dAl79+7SgkhVVYmMjMj0vJ6eXri6upKSkkJC\nQjxFivjZTOdlrV+//7Bz51amTfuI//xnIHFxsXz++VRq166TPjWZWd++z9Ojx/O8+KK5Tvi114bw\n/vsT+fnn5Tz5ZAcuXjzH0qVf8+KLfSlSpAhgXpDi008/Jjk5mTp1goiICGfRovnodHqef/5FAF5+\n+T/s3LmNd98dxyuvDMLT05OdO7dx5MhvNl8GLK83KioSMJdBWLZl9foeVxLYZkFV1YxVx9Iztm6P\nQSmCJRuaWSmCt0/hLkVISkri/PmzzJ49HScnJ7ulH5s2bW7z+OjRw6Slpdl8e7do27YDa9eu4sSJ\n49SqVZuTJ0+gKApNm7awaVemTFmqVq3OxYvnbbZb35o7d+4MERHhNmUJAHq9np9/XpflawoPD+fi\nxQt07fqUFtRatGjRGmdnZ44dO8YLL/Tl3LkzpKWl0qSJ7evU6/W0avUkK1b8mOW5hBCiZMlS1K1b\nDx8fX7y9va32KNoys1u2bKRZsxYOZxgAqFSpMpUrV2HTpg3a52t0dBQ9eth/1lpMmPA/unV7mt27\nd/DJJ5P54YeVlC9fwWHbUqVKM2fOQubNm8Wrr/bF1dWVli3b8Oabo2za3bhxnaioKO1x27YdeO+9\nD/n++29ZtGgB/v7+vPRSX1555TWtzaRJH7Fs2TcsXbqEu3fv4OrqRt26QSxYsISyZcsB5rKG7777\njpkzZzFy5BuoqkrZsuW112Dx7LNdtTtliqKwcOFcvvzyCxRFYcWK9ZQsWTLT6/E4ksA2CwlpiRhV\nI2BeThfA2UmPs5OeNJOB5EIa2II5uK3kaz//n17vhJ+fJ1FOCRgMpnzoWd6bPftzZs36zGaboijU\nrPkEs2cvoG5d2/qne28R3bkTiqqqfPLJZD75ZLLd8yuKwt27d4CMb96ObjMVL17cLrC1FhZ2FwB/\n/6I5eFW27twxTyG2bdtmtm61n0JHURRtmrHs+iiEEPdyNAPLvHmL7batXJmx8MKaNfafRfcyL5+b\ncY6czvTSrdvTdkkAR2rUCGTu3EVZttm373e7bZ06dc10QByAq6srgwa9waBBb2T53EFBQcyePT/L\nf0/37z+S5XMIWxLYZsF6cQZLxhbMWdu01HgSC3ANqsi5l19+hfbtO2mPdTodRYsWy3RGAuuBYJBR\ne/vGGyNo3Lipw2Msz5XVwCuTKesvCopivt2UlpaWZTvHx5r/365dB/r3H2i3X6dTKFr0wfsohBBC\n5CcJbLNw73K6Fh56d+JS40kyFt6M7eOkWLEAqlatdt/HlyxZWgsGs3seyzrhllopa7dv38rmPObb\nTXfvhtrtS0xMIC0tDV/fIg6PtQxyS0pKdthHLRMflfBAfRRCCCHyk1QcZ8Ey1ReYl9O1sNTZJqVJ\nxlZA48ZNcHFxYcuWDXYZzd9//40vvpih3d6vVas2qqpy4MB+m3ZXr/7N339fsXtu6xkIKleuiq9v\nEfbt20tqasaqdyaTiQED+jBkiCUTaz7GaDRqbfz8/AkMrMnRo4e1sgSL8PBwPvrofU6ePAlA9eqB\n6HQ6Dh781aZdamqqXb+FEEKIgkQC2yxYMrZ6J73NQCV3XXpgKxlbgXn2gddee4OrV//mrbfe4NCh\nA5w4cZwff1zGpEnjOHnyhDZgq2nT5lSoUIl161axdOkS/vzzGJs3b2Ds2JFUqWKfSbUuC9Dr9Qwd\nOoLw8DDGjBnOkSO/ceTIb7z77lju3All0KChAPj5+aHT6fjzz2Ps2rWDEyf+BGDEiDEoisKbbw5m\nx46tnDr1F1u2bGT48MH8+ut+fH1901+PD926Pc2VK5f46KNJHDlymF9+2cPIkUPx85MlSYQQQhRc\nUoqQBctyur4uPjaZM3dnc5BbmAePPS7yak7WPn1eplSpUqxcGcwHH0wkLS2N4sVL8Oyzz/PKK//V\n6nL1ej0zZ85l7txZBAcv54cfllKpUhXefnsC+/bt4cqVS1n27//+rzs+Pj4sX76Md98dh8lkpEqV\nakyf/gVNmpiXX3R1dWXo0BF8993XTJ36Ad27P0dQUH3q1Ali4ULzKN05c2YQHx+Hr28RGjVqzH//\n+zrly5cnKsq8ms6YMePx9PRi167t7Nmzi+LFS9KzZy+KFi3Khx++lyfXTAghhMhriirLCBEWFudw\n+1cnv+d42Ekq+1ZgTMNh2vblZ1dx8PbvlPQswaSmYxweW1hZ12IWllkRhLyvhZW8r4WDvI+Fk7yv\nuRcQ4J1tGylFyEJiWiIAns4eNtvdnc2lCJKxFUIIIYQoOCSwzYKlhvbehQDcdebHMt2XEEIIIUTB\nIYFtFiyzHtgFtumzIqQaUzGajHbHCSGEEEKIf58EtlmwLJnrbrWM7r2Pk40p/2qfhBBCCCGEYxLY\nZkJVVatShMwD2yQpRxBCCCGEKBAksM1EijEVk2oepehhV4qQ8ThJBpAJIYQQQhQIEthmwjoT6yYZ\nWyGEEEKIAk8C20xYZ2LtM7ZuDttZS0xL5IezKzkS+ufD6aAQQgghhLAhK49lwjpgta+xzb4UYd/N\nQxy6fYRDt4/g4ezBE0VrPJyOCiGEEEIIQDK2mbIuMbg3sHXTu1q1cxzYXo+7pf383ZmfiEqOzuMe\nCiGEEEIIaxLYZsI2Y2tbiuCkOOGmc0tv57jG9lbCbe3nhLREvjn9o8x5K4QQQgjxEElgm4msMrbW\n2xxlbFONaYQlRgBQzM0fgCsxV9lwZdvD6KoQQgghhEAC20xZAlZnJ2f0TvalyFkFtqEJd1BRAXix\nxnNUK1IZgB3/7OV0xLmH1WUhhBBCiMeaBLaZsASsHg6ytWAd2NqXItxKCNV+LutVmlef6Iu3sxcA\nO//Zl9ddFUIIIYQQSGCbqcT0gNXtnvpai6wytrfizYGtp7MHPi5e+Lr6UK94HQCikqMeRneFEEII\nIR57BS6wnTp1KoGBgdrjQ4cO0atXLxo2bEj37t3ZsGGDTftly5bRtWtXGjVqRL9+/Th9+nSe9CM5\nm4ytW1aBbXrGtrRnSRRFAcDHxZyxjUmNy5P+CSGEEEIIWwUqsD179iwhISFaMHj37l2GDh1K3759\nOXToEBMnTmTSpEla8Lp7927mz5/P559/zsGDB2nbti2vv/46ycn3v8zt3ahE0gwmLWN774wIFpZF\nGxyWIqRnbEt7ldK2+br4AJBqTCXZkHLf/RNCiPuhqirX426SakzL764IIcRDU2ACW1VV+eCDDxg4\ncKC2bcOGDVSqVInnnnsOFxcXmjdvTvv27Vm5ciUAK1asoGfPntSpUwcXFxdee+01FEVh9+7d99WH\nE5fCGb/oN6YsO0pCmiWwzV3GNiEtkZjUWABKe5bQtvu4ems/x6bvF0KIf8vay5uYdmQO35/9Ob+7\nIoQQD02BCWx/+uknXF1defrpp7VtZ86c4YknnrBpV6tWLU6ePAnAqVOnqFWrlrZPURRq1qyp7c+t\nSzdjALh+N56wWHPJQGaBbUbGNhlVVbXtt+Iz5q+1ztj6uFgHtvH31T8hhLgfFyIvsyt94OqVmGv5\n3BshhHh4CsSSuuHh4cybN48ffvjBZnt0dDQlS5a02ebr60tUVJS238fHx25/dHTuVvlyclJwclJI\nM5i0bYlpSSgu4OHijl5vH/97upgDW6NqRHUy4axzBiA06a7WppxvKe1Yfw9fbXuCId7hcz4KdDon\nm/+LwkHe18JJp3MiOS2ZZadXaNsS0hIf2c+fx5X8fRZO8r4+HAUisJ02bRovvPAClStX5ubNmzb7\nrLOhD4u/vyeKoqCm1/YCoDPXofm4e+Hn52l3TLG4jEDV1VOhiLu5TfjlcAACPPwpHVBUa+NtzFiG\nN1WX7PA5HyU+Po5rj8WjTd7XwufrY8GEJUVoj9NMaXh6O+Oid8nHXon7IX+fhZO8r3kr3wPbQ4cO\n8eeffzJlyhTANpD18/Ozy75GR0dTtKg5YPT399eyt9b7q1evnqs+REYm4OSkEBdvHtTl7Kyi6MzZ\n26OnIulULsHuGFNKxjes2xGRqJ7mS/l3xHUASnqUICrK9jgvZ0/i0xIIjY6w2/eo0Omc8PFxJzY2\nCaPRlP0B4pEg72vhdDH6Mtsu/QKAt7MncWnmz50bYeH4uflmdagoQOTvs3CS9zX3cpIUzPfAdv36\n9URGRtK2bVvAHNiqqkrz5s159dVX2bhxo037kydPEhQUBEDt2rU5ffo0PXr0AMBkMnHmzBl69eqV\nqz6YTComk0pSigGASmU8uJ6+78LVeI5fDKN2paI2x7goGRnYuOREirmaUFWVm3HmGRFKeZbEYLD9\nRfVx8SY+LYHopFi7fY8ao9H0yL8GYU/e18Ij2ZDCt38FA+Y5tV+o9gzfnvkJgNjkeLz13lkdLgog\n+fssnOR9zVv5XtgxceJEtm7dSkhICCEhISxevBiAkJAQunfvzq1bt1i1ahWpqan88ssv7N+/n5de\negmAPn36EBISwokTJ0hOTmbBggW4urpqQXJupaQZAdC7GLVtqsGZHUdu2LW1nt/WMuVXVEo0yUbz\nLAmlPUvaHWMZQBYrc9kKIR6y30OPEZG+IEyfmj0pYTVLS0Lao3nHSAghspPvGVtvb2+8vTMyBwaD\nAUVRKF68OAALFy5kypQpTJ48mTJlyvD5559TrVo1AFq3bs3o0aMZOXIkkZGR1KlTh8WLF+Picn+1\nYylp5m9MOqvAFqOemHj7eWfd9R7az3/H/kOtojW0+WsBSns5CGzTp/yKkem+hBAP2ZnI8wCU9SlF\noxJBhCVEavvi0xLzq1tCCPFQ5Xtge68yZcpw9uxZ7XGjRo1Yt25dpu179+5N79698+TcqekZWyd9\nxgTmqlFPQrL9hOY+Ll5U9q3AlZhrbLu6m3oBtbXA1klxooRHgN0xlkUaJGMrhHiYjCYjF6IuAxBU\nshaKouDpnFGbliCBrRCikMr3UoSCJDnVEtjaliIkJBvs2iqKwsuBvXB2csaoGvnuTDD/xJtndCjh\nEYDeyf47g2VZ3fjUBIwmo91+IYTIC3/H/kOKMRWAoJI1AXBxctY+lySwFUIUVhLYWrHU2GKVscWo\nJznViMHBiMUSnsV5tko3AG7G3+bPu38BjutrAXxczRlbFZV4qXETQjwkZyMvAKBXdNQMMJduKYqC\nZ3oJldTYCiEKKwlsrVhKEXAyB7YKCph0ACQ6yNoCPFm2BdWKVLbZZr3imDXb1cekHEEI8XBYAtuq\nfpVxtZqv1tPZHNgmpi8ZLoQQhY0EtulMJpXU9Ok2TE7mINbVyQ0wL9rgqM4WzPW0/Wu+iJsuY/qv\n0lajj635WgW2MSkygEwIkfcS0hL5J9Y8k0utorZzelsC2wSDZGyFEIWTBLbptDIEQHUy16a5WgWr\njupsLYq6+/N8te6A+dZfeZ+yDttZZkUAiE2Nf6D+CiGEI+ejLqFiXujGPrA1DyCTGlshRGFV4GZF\nyC+pVoGtUTEHth76jGXuEpIcZ2wtmpdqjLeLF246N4q4Ol7Rx03nhrOTM2mmNGJlyi8hxENwNsJc\nhuDl7EkZb9uyKC1jK4GtEKKQksA2nXXG1kB6YOtsFdhmUopgoSgKdYrVyraNj4s3EcmRUmMrhMhz\nqqpq9bWB/tVwUmxvyklgK4Qo7KQUIZ1lqi8Ag2oObD1drDO2mZci5IZlAFlMigS2Qoi8dTcxjKiU\naABq+le3228d2JpUWcJTCFH4SGCbLjUt40M+TTWvNObh7I6Ha/q8j9lkbHPK11WW1RVCPBxnIy9q\nPwf6V7Pbb5nuS0Ul2ZD8r/VLCCH+LRLYprMuRUgxpQe2enc83S2Bbd5mbGNlVgQhRB47F2UuQyjt\nWdJhrb8lYwuyrK4QonCSwDadTWBrNGcy3PRueLg5A3mXsfWxWlZXVdU8eU4hhDCYDNoyuoH+1UhK\nMfDDtvPsPnpda2O9rG6iQQJbIUThI4FtuhStxlYl1ZQxK4KXW3rGNq9qbF3Ny+qmmtJINqbkyXMK\nIcTvoX9qy+jW9K/Oij2X2H7kOvNWHifVYP58s87YygAyIURhJIFtOi1jqzNoc0C66d3wdM/bjK1v\nesYWpM5WCJE3kgzJrL+yBYCSniXwSCvJvuO3AEgzmIhPNH9+SWArhCjsJLBNZwlsnfQZAayH3g1P\nSylCNvPY5pTNsroyM4IQIg9su7qbuPRFX56v+jTBuy5jXehkGSNgMze3BLZCiEJIAtt0lsDWxTXj\nnwP3hzF4zGb1MRlAJoR4MHcTw9lzfT8AdYrVJCHMjwvXo23aWL6Y65x0uKcHtwlpsqyuEKLwkcA2\nnaXG1tk1YxCZu94ND9eMUgRTHgz28nb2QkEBZFldIcSDW3tpEwbViE7R0b3i/7Fit3nKL8tUhWBb\nSuWpBbaSsRVCFD4S2KazZGz1NoFtRsZWVSE5xejw2NzQOenwSh+ZHCNTfgkhHsC5yIv8FX4agLbl\nWnLsZCIRseZBqS91qKq1i7cqpbLMjCCBrRCiMJLANp0W2DpnLNTgoXfDK73GFvJwyi9ZpEEI8YBU\nVWXtpU2A+U5QM/9WbD50DYDA8kVoWacUTor57lCiVSmVLKsrhCjMJLBNZylF0Dln/ANgPSsC2P7j\n8CC0RRoksBVC3KdkYwo34s0zH3Ss8CQbf71JqsGEokDfjtVxUhTtjpNtxjY9sJV5bIUQhZAEtulS\n0pfUdUoPbN10rjgpTni6ZdSpxefZIg0S2AohHoz16oXGRA9+O3MHgLb1y1C2uHm+bA8Hs7pIxlYI\nUZhJYJvOUoqg6MyBrWXksId1KUIeT/klNbZCiPsVY/XFeP+xKAA83fQ817qytt3LwawuGYGtzIog\nhHh05HS1Vgls02Us0GAOXt31bgA2Gdu8mvLL19W8SENCWiJG04MPSBNCPH6sM7a3Qs2fTc+2qoSX\nVfmUo3m4LYPHUoypGEx585kmhBAPU1xqPO8e+DhHbSWwTWepsVW1jK05sHVx1uGiN1+m3GRsI2KS\nmbb8D7b8ds1un4+L+Tahikpcmkz5JYTIPS1jqwJpLpQu5knb+mVs2liCXOsyKll9TAjxqDkZfoaY\nHM79L4FtOkvGVnUyr7VuCWwBbQBZbgaPbT58jQvXo1n1y2Vi4lNs9vlYL6srq48JIe6D5UNeTXMB\nnOjToRp6ne1Hukf6HafEJPtSBJDAVgjxaLgVH5rjthLYpktND2yNiqUUIWPpSUs5Qk4Hj6mqyl+X\nItJ/hmMXwmz2264+JoGtECL3IhMtga0r9aoW44lK/nZtHGZs9daBrdTZCiEKvpsJEtjmmiVja8SS\nsbUObO3r1LJyKzyBiNhk7fHvZ+/a7Pd1yQhsc5paF0IIa7di0r88p7nSvWVFh22s7zaZTOaBFzYZ\nW0PSw+2kEELkgVvxt3PcVgJbwGA0YTCaP/QNmMsGrEsRLLfzcjp47K8rETaPL16PJiouoxzBVeeK\ni5P5H5zYFKmxFULkXmRSDABuiicVS3o7bGM9+DUxxfz5ZVuKIBlbIUTBFpsaR3wuPqsksCWjDAFU\n0tTMa2xzuvKYpQzB38c1/Vnh2PmMrK2iKPi5+QFwM32CdSGEyKm4xFRSMdfHlilSFCV9hbF7WS8w\nY/n8ctW5olN05m1SYyuEKOByU18LEtgCGYsz4GRCxfyzh1UpgmVZ3ZwMHktMNnDxhjmT0qZuacqX\nMM+AcOScbTlCoL95HfezkRdkyh0hRK78fv42it78uVG9VIlM29ksCZ4+gExRFFmkQQjxyLiVXl+r\n4PgL/L0ksMV+DlswL6drYVmWMic1tqevRmJKn0S4TpWiNA4sDsDFGzE25Qh1itYCzMtiXoy+8mAv\nQAjxWPntQsY0ghX8i2XazsNBxhZk9TEhxKPDkrEt6m4/QNYRCWzJmMPWsuoY2GZsLYPHUg0mq7IF\nx/66FA6Aj6cLFUp607hmRjbFOmtb1a8yrjoXAE6Gn33AVyCEeFxEx6fwd1jGTCs+rj6ZtvWyWWBG\nAlshxKPHEtiW8SyZo/YS2GK1nK4+44Pf3dl+8BhkPYDMpKqcTB84VrdyUZwUheJF3LWBHUfO3dHa\nOjvpqelfA4BT4WdyvFScEOLxdvTcXXDOuPtjPcvKvWxqbG3msjWvPiaDx4QQBZlJNXE7vRShtJcE\ntjmWUYqQ8cHvrrMfPAZZDyC7FhpHbKJ5f90qRbXtjWuayxEu34wlIiZjGrA6xWoCEJEcxe2EOwgh\nRHZ+P3sXxSqw9ckisNXrnHBzSR8o5mAuW8nYCiEKsvCkSFJN5s+u0l6lcnSMBLY4LkVwd7YfPAZZ\nDyD767I5W6tzUqhVMaMWpHGN4trPB05mzMX2RNFArRj6ZPiZ++2+EOIxERGTzKWbMSgu5sDWU++B\nszOMh/QAACAASURBVM45y2O8PMwlT9afXVopgkECWyFEwXXLamGG0lKKkHOOBo/ZZGytSxGyGED2\n12VzfW21sr425QvFirhTubS5Dm7dr38zPfhPrtyKxdvFi0q+5QGpsxVCZM9Sp2/J2FqvYpgZbw/7\nBWasa2ylDEoIUVBZFmbQO+kJcC+aTWszCWyxr7HVO+ltsiDWpQiZLasbk5DK37fNy+PWrWI/Srl3\nh2ra8pZnrkYxZdlR5q7+i8AigQBcjf2HuFRZrEEIkbk/LpoHjXl6mz+zfF0yHzhm4eVuztgmOMjY\nmlQTycYUh8cJIUR+swwcK+VRHJ2TLkfHSGBLRmCr8zQHpkXTF0+wcHPR4ZQ+Abr1AAxrJ9JnQwDb\n+lqLqmV8+XRIc3q0qqTVvP15MZy718wZFxWVUxHnHvCVCCEKs7tR5iVw9W7mL9g5ydh6edgvMGO7\n+piUIwghCqZb2sCxnNXXggS2gKXGVsXJx1wjW8Ovqs1+RVG00oLEFMcZ22PnzZmUEv4elCrq4bCN\nu6ueZ1pV4rM3WlCljDnTcvWqSlE3cz3uKamzFUJkIs1gJDbBvDKiQTEHoznJ2Hp7OMrYemo/y8wI\nQoiCKNWYxt1Ec9IwpzMigAS2gDljq3jGQnopQqB/Nbs22rK6DjK2ickGzlyNBKBRjYBMl7e08HJ3\npmF184CyG3cTqOlnnvbrbOQF0mQVMiGEA5HaAi8mUlRz5vZBa2xBMrZCiILpTuJdVMxjAHI6cAwk\nsAXMS+rq0rO1CgrVilSxa2OZ6NzRdF8nLodjNJkvfoPqATk6Z43yRQBQAR9jOXM/jKmcjTif6/4L\nIQq/SMtUgc6p2ras5rC10L6UJxu0gWIS2AohCjpLfS1IxjbXUlKNOPmY090VfMrhYTXVl0VGxtY+\nsP0jvQyhqI+bthhDdsqX8MLV2VxrG3/XW5uLctu1PTJKWQhhJyLWnLG1TPUF4JOLUgSD0USqwQRk\nzGMLEtgKIQoeVVXZdcY8W5S73j1HZVcWEtgCSWkpOHlHAY7LECBj9bH4e+axTUk1aquNNcxBGYKF\nzsmJqmV9Abh0I45OFdoC5tkRzkRK1lYIYSsy1pyxdXazytjmqBTBRfvZ8sVc56TDLX1KQ5nLVghR\n0NyKSOSfmFsAuBmL5Di2AglsAYghFMXJnCUNvGfgmIVn+iINifeUIpz6O0LLguS0DMGiejlzOcLV\n0DgaF2us3VbceGW7ZG2FEDYi0gNbL2+Tti0nGVsvd8cLzHim35mSjK0QoqC5cjMGJw/zTFUx4a4Y\njKZsjsgggS0QrzdPAKyoOir5VnDYxrJIw72DxyyzIfh6umgZ2JyqkR7YGk0q1+8k0rlCewD+ibvB\nqQhZsEEIkcGSsXXzNH8GuepccNO7ZnucZbovsB0j4OXiBUB4UkRedlMIIR7YuVt3tbKr5FgPLdbK\nCQlsgWRnc4Gyt6kkeie9wzaWGtvEFAOm9IFiaQYTJ9JXG6tfPUCb6zanKpXyRq8zvwUXrkfTsnQT\niriag+NNkrUVQlix1Njq00sRclpzZl2KEG/1xbxakcoAnI+6RLJBFmkQQhQcl6L/1n42Jfiy648b\nOT5WAlvA4BoNgB9lM23j5WZ1Oy/F/I/D2WuRJKWYF3doWCN3ZQgAznqdttTuhevROOuc6VKhHQDX\n42/xV/jpXD+nEKLwUVVVy9iSi+V0wTZja11KFRTwBAAGk4FzkRfyqKdCCPFgklIMRHPT/MDojJro\nw6UbMVwLjcvR8RLYWgnQlct0n2XwGGQMwDianhr3dNNrZQW5ZamzvXwrljSDiealm+Dnat626e8d\nmNSc15UIIQqnhGSDVstvdDLPYZvTjK27qz5j5USrGtuKPuXxTi9HOCFfooUQBcTV0DicvM1rA1Tw\nqoCL3jyDVE6zthLYplNTXfB3Lpbpfk936zo1A3GJqfx5wRzY1qtWTCspyC1LQJxmMHE1NBZnJz1d\nKpqztjfjbxOacPe+nlcIUXhEWOawBVJV82CvnGZsFUXB091+Hm4nxYm6xWoBcCr8LEaTMa+6K4QQ\n9+3szVCcPOIBqF8qkGZPlADg8Jk7OTpeAtt0xtiiuLo4rq+FjMFjAOExScxccULLfjStVeK+z1ul\njI+WTblw3VwSUd1qgYiI5Mj7fm4hROGglSGgkmg0L4Gbm3kdLbO6JNwzXWHdYuZyhERDkk1NmxAP\nk6qqfHv6Rz449ClhiTJ4Udg6G35J+7lm0aq0b2AuE00z5OwOtgS26UyxRXF10WW63zpju2zrea3W\no0uTcjxR0f++z+vmoqdC+qIO59MDWz83P21/ZHL0fT+3EKJw+H/23jxMrrLM+/+c2vfqfU/IvocE\nkkAigQAioAKjDGFQ9P0hqIOOjsZRmXEbceQ3Ijo4iKgw8+KAjA7KJg6y7yHs2bdOOklv6aWql6qu\nfTnn/ePUOVXVa3XSS3XyfK6Li+6upZ90VZ3zPffzvb+3FvWFKYmMenD3FDB1TGOkATOLSxdgNarN\nZcKOIJgqOiPdvNu1A1+0hxdaX53u5QgmkL5Yf97EsPGiKAqdiVYATIqVOlcNs6vdLBpH6pQQtoCS\nNpAOVGAzjyJscyq2WvPYxjNrufaiBeMKDh4OzY5wuC1AWpaxGM24zar3rTfWd1LPLRAIZj69mUQE\ntydrF/BaC6/YuoaxIgCYjWaWlS8BYJdvr0hiEUwJB3oP6V+/17WDpJwa5d6CmUI8neC2t+/k/3/7\nTloGCk8xyKUnGCNlV22etdZZGCRVpl6yduQeqMEIYQvED5wDSRuWUYSt0WDAbs3evmZxJTdcvuSk\nRS1kG8hiiTSt3aqvpCxTtRXCViAQaBVbtzd3OMM4KrYjWBEAVmXsCH3xflpD7SezTIGgIHJTOCKp\nKLv9+6ZxNYKJojviJ5qKoqDwXtfOE3qOva0dGOyq3WpZZXYS7JrFlXzuymUFPYcQtoASVoWl1TL6\nn6O23AnAsjmlfP7K5RgMJy9qgbzBDprFocymrklYEQQCgeaxtTtPrGI7khUBYHn5Er0qsssn7AiC\nySUlp2jsP5L3s7c735um1QgmkoFENo5rT8+BE3qOXV3Zi5419Uv0ryVJYsPymoKeQwjbHKyjVGwB\nbr5qOZ+/chlfueZMzKaJ+9O57GYcVnWrUKvMlOrCVlRsBYLTHe24YLGrwtRkMOEw2Qt+vD45cZiK\nrcNs1xtWdwphK5hkjgaaSaTVISNnuNXt5b09BxlIhKZzWYIJIJgjbDvDXfij429+b4k0A2CQrdQ5\nCxOygxHCNoexhG1FiZ31y2swm0a/34lQ7rUB2VgfzYoQTAwI/5FAcBqTSssEQqoQ0EZMeizucdmg\nXJmKbTRncmIu2rCG4+FO0aUumFQ0f63JYOK6JR8HQFZk3u3aMZ3LEkwAucIWYE/P/nE9PpWWCRvV\nxrNKY/0JWz2FsM1htFSEyabcM7ywBbXLUCAQnJ70DcTRpKhiVI8P3nH4ayHrsYVs82suZ2aELcB+\nMYVMMInszwjb+d45zHY36FXbtzrenc5lCSaAwVX3vf7x2RH2t3cg2VR/7cLSBSe8DiFscxirYjuZ\n6BXb4FBhK+wIAsHpSVpO82b7+5jP2Id1+Rs0x1RR4BmHvxYGDZgZxmdbYvViz1gbBlddBIKJIpyM\n6N3yS8sWAXBu7RpAHSPfHuqYtrUJTp7Bx47G/ibiGdtJIbzXnhXC584urFFsOISwzWFahW2mYts3\nkCAty3rzGIgGMoHgdOXp5hd5uusJTNUtGJxBlEztdoF3zrieR5s8BhCKDRW2AM6MsI2kIie2WIFg\nDA72Hdbfw0vK1I73NdWrMErqufct0UQ2ownGVWHrMquN9ik5RWPf4dEekkdTUG0qlFJW5pbWnvA6\nhLDNYTqFbUWmYisrCn0DcRwmux6c3icqtgLBaYk2DUxJG5H7q7hy3uX8w5ovctGs88f1PHlWhGEa\nyAAcZgegVtUEgslAi/lymZ3Uu2r1r1dULAXgnc7tYrTzDCaYVK0Iy8uX6M2tu/2F+WwVRaFPOQ6A\nl7qTilIVwjaD2WSYsPiuE6EsU7EF1WcrSVJOlq2o2AoEpyMdYbWRIu1rwOs7j8vnXMw875xxH/Rd\nY1gRAJwZYRtJRk9wtQLByCiKojeOLSlbqEfMAZxbo9oRgokBDg2KAhPMHAYyFdtSq5dl5YsB2Ntz\noKDBL7uPdaJYVH/t/JIzTmodRSNsDxw4wA033MDatWvZuHEjW7Zswe/38/bbb7NkyRJWrVrFqlWr\nOPPMM1m1ahXPPPOM/tgHHniAyy+/nLVr13L99dezd+/4I2ums1oLWY8tDPXZCo+tQHD6EUqG9WYM\nOerS7UongiNncuJwkV+AXmGJpISwFUw8vmgPPZlz2ZLShXm3LStfjM1oBWCHb8+Ur01w8qTkFOGM\njcltcbM8M9GwPx4oyDv9/L5sZXfDvMUntZaiELaJRIKbbrqJ9evXs23bNp588kn8fj+33norAPX1\n9ezcuZOdO3eya9cudu7cyWWXXQbAiy++yC9+8QvuuOMO3njjDS688EL+9m//llgsNq41TLew9TjM\nejbu4GQEIWwFgtOPjlCX/rUSdVHmsZ7wc5mMBj31ZfBYXY1sxVZYEQQTT+60Mc1fq2E2mHQ7wk7f\nHmRFRjCzyE1E8FjdLCtfjIS6szTWsIZQNEmjr0X/fk5J/UmtpSiEbSwWY8uWLXz+85/HbDZTWlrK\npZdeSmPj2LEzDz/8MFdffTUrV67EYrHw2c9+FkmSePHFF8e1humM+gJ1qoZmR9Artla1gawvHhAf\ndIHgNKMjnBW2J1uxBXBpQxqiY3hsRfOYYBLQbAg1jip9AFEuqytXAqod4ViwZcjtguImNxHBY3Hj\nMjuZ61UtBXvHyLPdtrcTxR4AoMRSit10cse6ohC2Ho+Ha665BoNBXc6RI0d47LHH+OhHPwpAKBTi\nS1/6EuvXr2fTpk385je/0R+7Z88eli3LxkJIksTSpUvZvXv3uNZgNU//n6IiU5HJVmzVD39aSYsI\nHoHgNEMTtkrCCmlzng//RNAayEas2GpWhGRUXEgLJhxtO3p+ydxhb19WvhizQb342t49vvO3YPrJ\n1ShuiwuAFRk7wtFAC/3xwLCPUxSFV3ccx+BQHz/H23DSazGNfZep4/jx41x66aXIssy1117Ll7/8\nZfbv38/ixYu54YYb+NnPfsZbb73FV77yFTweD1dffTX9/f14PPmZjl6vl/7+8TVc2SwmTBM4JvdE\nqCixA330BOOYTAYqXeX6bYFkgApn6cgPniKMRkPe/wWnBuJ1LT46I6qwlaPqSaKyxD7uY1Tu6+rM\nmT423PO4rGpEj4JCiuS4RvYKJpdT4fMZyuwElNq9w77/TCYbyyuWsKN7Dzt9e7h2yVUn1Rk/EzgV\nXleNcCqsf13mUF/jtbWr+NORp1FQeKPjLa5acPmQxx1q66e9ZwDbHFXYzvbWn7QWKyphW1dXx549\ne2hpaeG73/0uX//61/npT3/KAw88oN/nvPPO47rrruPRRx/l6quvnrDf7XJaKC11TtjznQizajzA\ncXqDMUpKHMyzZn0mcWNk2teXi8cjTnqnIuJ1LR40YatkhO3cWaUnfAzweOyUZhpUB2IpSkocQ0RD\ndSR74WxyKJS6iud4I1CZqZ/PVDpFLKXuRFZ5R34fb5y7lh3de+iJ9RGQ+phbOmsqlzltzNTXNZdk\nhzru22I0U1tRhiRJlJY6WV2zjB2d+3it/U0+efZVmI3mvMdte6YRyRZGMqjJCUtr55201ikqYasx\ne/ZstmzZwnXXXcd3vvMdSkvzK5X19fU8++yzAJSVldHXl99c1d/fz6JFi8b1Ow1AX194zPtNJs6M\nzzeRkmlu68PtNGOUjKSVNC3+Tpa5p3d9oF5Zejx2gsEo6bTYrjxVEK9r8ZBIpvGHAwTjmUSEiDo+\n14wy7mNU7utqyzTIHm7tZ8udr/DJDy1kYUPW66jEs30Gx/09WJKOk/2nCCaImf75DMSD+teGpGnE\n9/E8xzwMkgFZkXnl8NuULCibqiVOCzP9dc2ls78HUP21/f1Zn/75dR9gR+c+gvEQz+3fyob6dfpt\n0XiKV3e0YfBk3x+lUtmox7lCRG9RCNs333yT73//+zz99NP6zyRJQpIkXnnlFaLRKJ/4xCf025qa\nmpg1S72SW7FiBXv37uVjH/sYALIss2/fPjZv3jyuNZhNBlKp6X1jlbgs+tddvVGcNjMlVi89sV78\nkb5pX18u6bRcVOsRTAzidZ1e2rpD/PDBd0nZfFjVJnHkqAuX3YzRIJ3wa5NOy1y4uo7dTX58/TGa\n2gP8y2/eZd2SKj516SLcDgtWQ9bDOxALk3KK90GxMVM/n4FotmPebnSM+G+wSjYWly5gf28j73fu\n4qNzLp2qJU4rM/V1zSWQybB1m115/5ZF3gVUOSrojvh5ofk11ladre8Wvb6rg0RSxpTx1zrNDlxG\n90n/LU7a2FFI8O5YrFixglAoxB133EEsFqO3t5e7776btWvX4vF4uP3223njjTdIpVJs3bqVRx99\nVBe6n/jEJ3jiiSfYuXMnsViMe+65B6vVyoUXXjiuNUx33BeMlGWbSUYQkV8CwSnP2we6SCRlJHtW\nCChRFw2VJ28LaKh08cPPrudvLl6Aw6rWNN450M3jr6vTzRymbIVWJCMIJpJQMluBc5pHfy+vrlwB\nQGekm86cZBBBcaON0/VY3Hk/N0gGLmzYCEBr6DhNgWP6be8f7AbAXqK+PxpcJzdxTGPcFdvXXnuN\n5557jnfeeQefz0c4HMbpdFJZWcm6deu49NJL2bhx47ie0+Vycf/99/ODH/yADRs24HA4WL9+Pbfd\ndhtVVVV8+9vf5gc/+AGdnZ1UVFTwne98h0suuQSA888/n6997Wt89atfpbe3l5UrV3LvvfdisVjG\n+K352KY57gug1G3FIEnIijJMlq2YPiYQnOq0dKmC1lUaIwHYJBeXb1zEucuqJ+T5zSYDl50zm/NW\n1vKvv32Pjp4I/QOqN85hzvr8RJatYCLJFbYu8+gWlzMrl/P7g4+hoLDDt5fLnRPz3hdMLgOZVAS3\n1T3ktnNr1vCnpqeJpWO83LaVBZlkjFZfGFDAploRGlx1E7KWgoXtnj17+OEPf8iOHTsoKytjzZo1\nbNiwAbfbzcDAAD6fj+eee46HH36Y1atX8+1vf5uVK1cWvJCFCxfy4IMPDnvb5s2bR7UWXHfddVx3\n3XUF/67hsBRBxdZoMFDqttATjA87pEFRlFO+S1QgOJ1p7lJPDlZPhAQwr6yeK1fNmfDf47KbqSyx\n09ETIZZIA2pIvsVoIZFOEBZjdQUTSHgcFVuPxc087xyaAkfZ4dvN5XMunuzlCSaAYGZAg8fsGnKb\nzWTlA3XreLH1NXb69tAX68coOwiGE0iWGClJvbhucE+hsH388cf53ve+x7nnnsvvfvc7zjrrrBHv\n+/777/OrX/2KT33qU9x6662697XYKQYrAkC5x6YK20FWhFg6TjQV1UPUBQLBqUUgnCAQSgAKcUMA\nFKidxGqVtksVS2QHNjhNDhLpBBFhRRBMIOHMDoDFYMYyqCt+OFZVLqcpcJTWgXYiyWjeboKg+Eik\nE8TSqmbxDFOxBdjU8AFean0dWZF5tX0bi4znAiA5svm3E1WxLchj+6//+q/8/Oc/57777htV1AKc\nffbZ3Hvvvfz85z/n9ttvn5BFTgXFMKABsj5b/6CKLQg7gkBwKtOSqdZiTpBQ1M9/rbNm0n6fzaLW\nNbSKLWTtCBFRsRVMIJoVYaxqrcYZnmzMlzbYQVC8BHPH6VqGF7YV9nJ9bPKrbdto6vIBYHCoNgST\nwUS1o3JC1lOQmnvsscfYtGnTsLeFQiH27NmDz+fL+/kFF1zAI488cvIrnCKme6SuhiZsB1dsQbUj\nCASCUxNN2Joc2ZNE3ZRUbLPC1mkSY3UFE08oob6fXJbChG29q1b/ui10fFLWJJg4BvKmjg0vbAEu\nO0O1lcTSMd4JvAaA3au+N+qc1RgNE6PDChK2dXV13Hvvvdx88815P3/ooYc4//zz2bx5MxdccAE3\n33wz0Wg073EzhWKyIoCa7xaJpSi15gpbUbEVCE5VmjONY96KhP6zakfVpP0+u1Wr2GatCJrVSTSP\nCSYSzWPrNBVmpbObbFTY1AxbUbEtfnLH6Y5UsQWY653NuTVrAPAbG5GcASTHxDaOQYHC9r777uOu\nu+5i3rx5+s8OHDjAbbfdxqWXXspjjz3GL37xC/bu3ctdd901YYubSopG2A6K/DIbzfobRavYyrLC\n/mO9ROOpYZ9DIBDMPLSKrcOjFgfKbaXYTNZJ+325FVsttlEboxtOCSuCYOLQPLaFVmwB6jONRO2i\nYlv05Avboc1jufzV/A9jM1pBAsucvSSN6gV9/QQ1jkGBwvaRRx7hn/7pn/jmN7+p/+wPf/gDZWVl\n/PCHP2TJkiVcfPHFfOUrX+Evf/nLhC1uKikaK4InR9hmfLalGTuCJmx/++xB7vj9Dh56rnHqFygQ\nCCacaDxFd58qJmWbepKYzMYxyApbRYFEUg1Ed4qKrWASGK/HFqAhY0c4Hu4iLafHuLdgOtE8tjaj\nFYtx9KhVr9XD+dUXAGBwZieOTWTFtqBUhLa2No4ePcrdd9+t/+zZZ5+lpKSEX//61/rPOjs78fl8\n3H333Zx77rmsW7duuKcrSoqmYusZbkhDKc3BVnrj/XT1RXh1p7o1c6BFeG4FglOB1m7NV6sQVtTP\n9WQ2jkG2eQxUO4LVYsxpHouIeEHBhKFZEcbKsM2lPiN0UnKKroiPOtfkfh4EJ45WsR3NhpBLvbQS\nOboVgz17AZ3rqz5ZCo4CMBiyd/X5fPj9/iE5tTP1QCgBbsf4BjpMFhazEbdDjUPJZtlmK7Z/3noM\nObNt2BuME0+KK1mBYKbTrCcixInLWiLC1FRsIdtApnkgU0qahJyc1N8vOD1IySliaTWntK9fIZUu\nbFxqbgVPNJAVNwPaON0ChW2HP0qyZan+fYW9HLvJNsojxkdBFdv6+no2bNjARRddBMA999yDxWLh\nu9/9Lg5H9grsD3/4A2+99RZf+tKXJmyBU8H/9+EleJ3FIWxBrdoORJL4MxXbCls5AAOJENv2t5H7\nsnX3RZlVNbqnRSAQFDetmcaxssokmrt1OoRtbk52JBnBOsa2okAwGm2+EFv3H9W/f/kdH71H9vB3\nH1+JwTB6EazMVoLdZCeaiooGsiJHH84whr9Wo607hByoxBKuJ+FsZ1nZ4gldT0HC9oorruDWW2+l\ntbWVnp4e7r//fj7xiU/kidq9e/dy9913c+mll07oAqeCC1YVV3pDudfGsc4BvWJb48xmuym2EISz\nSQldvREhbAWCGY7aOKZgqGkC1PnqNc7JS0SAoVYEAGdOEH44GdH9/QLBeHl5RzsPPH0QyT6ALbO5\nq6QsbD/k57+fb+T6Dy0adYdXkiQaXLUc6j9C24Co2BYzuhVhhOEMg2nzqdaUZdIH2XSWjTme2RO6\nnoKsCH/7t3/LBRdcwM9+9jMeeughrrnmGr7xjW/ot2/dupW//uu/pqamZsZVa4sRzWereWxrcio3\nBnuY88+sxWRUDwidvaLJQyCYyaTSMu3+MKb6w4RNnQBcPOv8MZswThabNVuxjWoV25w4JjF9THAy\n7DnSC4DBnLW0zC5TBw69+H47T7/dMuZzaL5LUbEtXlq7BuiPqU1ghXhsE8k0XX3qsWVWpYdFpQsm\n/FhXkLC1WCz84Ac/4P333+fdd9/le9/7HiZT9mp/5cqV3H333Tz00EN4vd4JXeDpiBb5FQwnaO4c\nwG5wYFTUF95oD3HleXOoKlVPQF1C2AoEM5p2XxjF3Y25Xq3WzvfO4ap5l0/6782r2Ma1im1W2IbF\n9DHBSRCKqHnMc2dlvZM3Xr6a2nL1PfaHl5p4c1/nqM+h+WwHkiEC8YFR7yuYHn7xpx2kUY8fhQjb\njp4ImTYhGioLT8kYDwUJ2y984QuEQqERb/d4PFxyySV5YjcUCvHFL37x5Fd4GlKRk2V762/e4Yv/\n9irJkHowKK9KUeG1U12qbhl29glhKxDMZPYfb8cyfxcATpOTG1dcP2ETeEZjTI+tqNgKToJQTBU7\nJku2Ylvl9rLl2lV4XWqh5j//vJ+Do6T71LvFBLJiJpZI4QtlB0cFA2OHB7T5slqyvnJybJQFCdtU\nKsVVV13Fn/70Jz3IezSefPJJPvaxj5FOi479E2HJ7NK8K5m0rCBH1TeAwaF6U2rKtIqtqKoIBDOV\nWCrGS31PIpmSoMCNKz5JiXVqdr0sJgOGjMdRE7YWgxmTpAreiKjYCk4CrWJrsKgC12K0YDGaqfDa\n2bJ5FVaLkbSs8IvH9tDdP/x7rdZRjUFSZYoY1FB89ARiSOa4/v1L7/hJpkZPvdCErdNmosQ1OXar\ngprH7r33Xu68806+9a1vcdddd3HRRRexdu1aKisrcbvdDAwM0N3dzbvvvssrr7xCR0cHn/nMZ/ja\n1742KYs+1bFbTdx64zn0hxK0dg/Q0hViZ6CH47TRF+8jmU5SnRG2oWiSjkAf3Yl2lpUvwWwo6CUV\nCATTTE+0j1/tup+Q5AOgNLKSJWULp+z3S5KEzWIkEk/pzWOSJOEwOwgmBvRpUQLBeJEVhVA0MxnT\nmIAUuHKGM8yudnPzVcu564+7CEWT3PXHXXz702v0Mc8aZqOZGkcVx8OdooGsCPEFYmDOjgD3+RT+\n8lYzV503d8THaI1jDZWuSYuHLUgFSZLE1772Na6++mp++ctf8sQTT/Dggw/mLUpRFDweDxdddBE3\n33wzc+eO/A8TjI0kSZS6rZS6rZw5v4K5PTHu2fkOCgrdUb9esQW4f99DtEdbuGLupXx47iXTuGqB\nQFAIRwLHuHfXAwwk1epFylfP6ur1U74Om1UTttndNU3Y5loRovEU9z25j4YqJx8/f96MzCsXjx1r\nlAAAIABJREFUTB3ReErPW1eMcUjl+7cBVi2oYPNFC3j4pcMc94f59Z/28vd/feaQGLB6Vx3Hw52i\ngawI8fdH8yq2pCz8+Y1mzllanadRctEqtg2TZEOAAoWtxpw5c7j99tuRZZkDBw7g8/kIBoN4PB4q\nKytZsmRJ3iAHwcRR48hG/3SGu1hQtkz9xpikPap2l2737RbCViAoct7v3sV/7f0dKUUVk8mWRaQ6\n53LGqqlvvFUbyOJ6xRbAYVL9+7nNY2/v72LHYT87DvuZX+dl1YKKqV6qYAYRimR9tWlJFT6uYcbp\nXnbOLI77w7y+u4NdTT388eUmrr14Qd59Gty1vNMFXREfiXQSi9E8uYsXFIw/x4pgN9pJGoyk0jIP\nPH2Ab3zirCEXwKFokkBIrfDWV01O4xiMY/JY3oMMBpYtW8amTZu48sor2bRpE8uWLROidhIptZVg\nMagf6M5wNx6HGbvViMGVNd63hzpE56hAUMTE0wke3P8wKSWNpBiJN55FqnMedquZxbOnPjNWayDL\nrdg6c8bqauR6IP/4chOyPHavheD0JRTNCtsEamzl4IotqDuTn75sMQsb1Iu6p99u0aOgNLRkBAWF\njvDoKQqCqcXXH0XKWBG8Ng8fWX8GAAda+vmvpw+QlvP9tm3d2caxyazYCiU6QzBIBqozge0dkW4k\nSaK61IHBnd9ReqC3cTqWJxAICqA52EIirZ4IYodWIferW3a3fPIsPNMw1ns4Yatl2YZzrAjasBiA\ndn+YrbvFtrBgZAZyhG1cVi+KnMNUbAHMJgM3fiQ7XrW5M784o2XZgkhGmAxkReb/7nmIO9//JbFU\nfOwH5JDbPOYxu/johjnMqVEjv17d2cE9j+0hkVSPLYFQnOffa9MfW19RZBVbwfSg2RG6wt3q92VD\nhe1+IWwFgqLlQM8RABRZQg6Ws/HMWv75hnXMri5sYs9Eo2XZajm2kK2s5aYi+HOELcBjrx0hmkgi\nEAxHrhUhmlbfR65hKrYalaV2rGb1Iuu4P5x3m9viwmvxANA2IC6oJpojgWbe697J4f6j7PHvG9dj\nfbnC1urGbDLwjU+cxZLM7tP2Q37+7eGdPP7aEf7x12/yfqPaKDuryjWkUXAiEcJ2BqGN2OyO+EjL\naSpKLRicAQCMmYie/b2NyMrocRsCgWB62N6uXngqEQ83Xr6CGz+yFKtl8jNrR6LQiq0mbLXx3UFj\nO7e8/s88dvh/p2qpghmEZkUwGGTi6ZE9thoGSdIHN7QPEraQzbM9Fmye6KWe9hzsO6x/3TaOBr1w\nLEk0nkKyZIRtZjiD3Wpiy7WrWLO4EoDG1n7+tPUY8WQaCThvRQ1f3bxq4v4BwyCE7QxCG62bUtL4\nY70YXP1IBtXrtqZiDQChZFh0jwpOSRRF4WigmYHEyMNiipmUnKY7qW6luuRqNp5ZO8YjJh9N2EYT\nuRVb1WObSCdIyikSyTTBsGqfuGBVHUtml2CsOE6aFK+0vUFKTg19YsFpzUBUfb84czYiRrIiaNRl\ntqYHV2wBlpSqMXgtA+00B1snaJUCgIO9WWE7Hu3g748hWcO6sK1yVOq3mU1GvvBXK7jwrHr9Z8vn\nlPLPn1nHTVcso9RtnYCVj8wJC9tkMsnhw4fZtm0bsVhs7AcITpr8ZIRuIqYuQN3WXGZfh4Tagbi/\nR9gRBKce2327+cl7v+Dft/+6oEExxcbrjY1gUEXgmobF07waFW07cHDcl0YkGc2zIVSW2Nh80QIM\nNvXiIiknOSaEhmAQ4UzF1u7M7h4O1zyWiyZsu/uipNL5u44batdiMaoe9Jdat07kUk9r4ukEx4It\n+vfjGYLh649iLO3Wv19ZsTTvdoNB4tOXLuKrm8/kH68/m3+47qwps1ydkLC955572LBhA1dccQU3\n3ngjPp8Pn8/HNddcQ39//9hPIDghKu3l+hSWrnA33Qn1TSiHvYQGTMzxzAJgX+/BaVujQDBZHOk/\nBkBHuIvOSPfody5CXmncrX996bLJ3YorlGFTEUz5Y3VzhW25184ZNS6MjqxNIXcrUyAAGMh4bG32\n7PtqNCsCQF25entaVujqy59E5jA7WF+zFoD3u3fSHw9M5HJPW5r6j5JWsq9RIDFQ8I6YPxDDUKIe\nh2e7G4admChJEmfOr2DRrKlNfBm3sL3vvvv49a9/zdVXX80999yD1aqWlM1mNYrqzjvvnNgVCnSM\nBqNe7m8Pd9AcUq+05IFSunojLC1bBKhm8EK7G9szwdgHmkee1y0QFAP+WI/+de722Uyguz9KR7wd\nAAdeyhyeaV6RitY8lkzJejSPI2NFALVi2xPIiowKj43eWD+KlD0ZNgphKxiE5rG12nKErWUsK0L2\ngqpjGDvChQ0fACCtpHmt/c2JWOZpT2Nf05CfFWpH6Aj06s3rqypXTOi6TpZxC9uHH36Y73znO3zr\nW9/i4osv1gN4S0pK+OY3v8nzzz8/4YsUZNHsCLv8+/TYIHmglM7eCEvLVWGbVtIc6h/6hh2OZ95q\n4a19Xfzh5cLuLxBMFz3R7MXXTKsSvvheG1Imc3pJ+bxpXk0WW07jmla1zd0yzq3Yuh1mrBYjneGu\nvOc4GshGmAkEkBW2Rms2HSF3J2A4Krx2zCZVkgzns612VrG8fAkAr7e/STItUjlOloN9hwBYUDJX\ntzIWGqnWEjuCNn/hzIplk7K+E2Xcwrarq4v164cf/VhfX08gILYIJhMtGUE/kSggh9SK7RnuWdhN\nNqDw2K++kFrZ9QeiY9xTIJg+FEXBH+vVv2/sayItp0d5RPEQT6R5bf8RDFZVIC6tXDDGI6aOPGEb\nV/+ejhwBEk5mhW2FVz22dEV8ec+RVtI0BY5N8koFMwnNimAwq/+3GC2Yx5gYZjBI1GbGsB7vGSps\nAS6atRFQm6Tf6doxUcs9LYkkI7QOqCJ2RfnS7G5wgRXbXklNqLDKbmozje3FwriFbW1tLfv2DZ91\ntn//fioqxKjFySS3gQzAYyyHtBlffwxFkVhcqp40CxW22pX1QCRJMiViwgTFSSgZzqsKxtIxWgba\np3FFhbNtXycJS1YMzveeMY2ryUezIgD6WF2byapXbyI5wrbcq1oUOjM52nLchpJWTyHDbWkKTk9k\nRSEcU88rkkn9/1j+Wo3RkhFATUfQ0oFebnt9RjaRFguN/UdQUP9+i8sW0JAZhDFY2HZH/Pz7+7/m\nlbY39J/FU3GSdnXnptY0b8jo3Olm3MJ248aNfP/73+fxxx+nu1udgBUIBHjxxRe57bbbuOyyyyZj\nnYIMNYOujBrsswH1YOIPxHSfbXfET0+0d8jjB5MbpB0IjW/qiEAwVfiHeS/PFDvCK9uPY3CrTbUu\nszMvFme6Gc6KYJAMOEyqiA2nsh5brWKrNe4pETdyqBSYOa+FYPKJxFJoelM2aBm2o9sQNGozwraz\nNzJkHCuozUgXNZwHqAKsUMudYCiaN95hstPgqtMnvHWGu/Mi/J46+jyN/U083Pg427vVBtj3O/Yj\nGdTXZ6GnOBJechm3sN2yZQuLFy/mH//xH9m0aRORSITNmzfzxS9+kfnz57Nly5bJWKcgQ7WjUq+m\nACwpn69/3ZnTQAbqFdlY5M707h0QwlZQnPTk2BBKrWqHbbGKqUQ6yR7/fsLJCF19EZq7BjBk/LXz\nvHOKqroxnLCFbAPZQDxMMHPxW+G1oSiKPvlQjrqQg+UAtATbiKaEnUmQf05JSeo5ZawMWw0tGSGV\nVvD1Dx8jek7N2bpfd1vHuyez1NMarQF3Uel8DJJBF7ZpJa3vyiTlFLtzppH9dv/DdIa7eb9rDwBK\n0sKSiuLpGdAY90wzl8vFb37zG3bt2sXOnTsJhUJ4PB5Wr17N8uXLJ2ONghwsRjNltlL9RL+6bjH/\nLb2HokBXb4RV82fhMNmJpKJ0D/LCDSaZShNPZk9m/aJiKyhStIqtSTKyruYsnm1+iSOBYyTSSSxj\nePemkkA8yC933U/rQDtei4cV0mVgTCI5BgCYXzJnehc4iOGsCJDJso320BcJAeqFRIXXRigZzk4k\nizlJR12YAQWFw/1HWVlkTSSCqSd3FzCJKk7HyrDVqK/MCuDj/jA1ZUMfZzFaWFmxjDc736WxrwlF\nUYrqYnEm0B8P6DsvizL2xQZ3nX57e6iDBncdB3sPEUtnLzBi6Tj37X6AvmgQgHR/JdWlhV20TCUn\nPKChoaGBT3/603zhC1/g+uuvx+Mpjvia04HaTANZpb2ccoeXck+mqaM3giRJVDpUn/NYwjYUzZ8Y\n1CcqtoIiRbPVlNlL9V2JlJziSBE1LR0PdXLHu3fTmvH+BhJBtkYfxdxwSO8enuedM30LHAabdfiK\nrVYRC8azmZblXnteIoJVLkEJezChBucXawVdMLVoU8cA4rJaxS/UY1tZYsNkVD8sI/lsQfWEgirQ\nxjrPCYaS64nX+nK8Fo9+AaIlI2jWA6fJwdULrgBUK1JcyYjdQDVel2Wqll0w4xa2fr+fa6+9lh//\n+Md5P7/lllu49tpr6e0d29cpODkunnUB9a5arph7KQBVpeq2oS/T5FFlVz183RH/qM8zEMmP6BHC\nVlCsaDsU5bYy5nrPwGxQq7TFIqYO9B7ip+/dQ19c9dKurV6NUTKBIY2pWs2bNhtMzHLXj/Y0U06u\nFSEaz63YZjy2yewghgqvLW8whttYChhwpVXfv2ggE0C+FSGaqe4XKmyNBoNepR0pGQHU7XONYjkG\nzCS0v5nX4qY64/mXJIl6l1q1bQ91kJbT7PLvBeDMyuVcPOt81lav1p9DSRsppQFDEVbLxy1s77jj\nDqLRKJs3b877+Te/+U1SqdQQwSuYeBaXLeBb52xhbc1ZgJr/B+DvV6+OqzMVW1/Uj6yMnHQQjubn\nAAphKyhWNCtCub0Ms8HE/EzlczoGNciKwu9fOMSjrzYhKwqtA+38Yud/EkvHMEgGPrVkM59Z/knW\nW/4KJZGtZsx2z8JsGLf7a1IxGgxYMtmheRXbTOUmmlaPKR6HGavZqHvvvBYPHqt6H0tcFbbtoY6C\npxYJTl30DFujTFxWiyeFemxh7GQEgBKrl+pMQtBBcUE1bg5l/maLShfm2ThykxEO9h0mkvHNn1W1\nEkmS+OSSa6hz1gCQ7q+i0uua4pUXxriF7datW7nttttYs2ZN3s9Xr17N97//fV5//fUJW5ygMCpL\nVCuCPxBDlhXdipCUU6OOHhwYLGyFx1ZQhKTltF4JrbCVAdmtyJaBNiLJqW1aOtwW4Nl3WvnzG83s\nburhva6dyIqMyWDi71bdxIa6der9DhmI79uAOaF6VM+uPnNK11kow43V1bJsE4p6TBgc9VXjrMLt\nyIj2ULn+uEMFNKwKTm00j63TlY3iKtRjC9kGso6eCLI8cpzX4kzV9lBf06gFHEE+iXSSnpjazFpj\nq827TWsgCyXDeryX3WTT7QpWo4Wvnn0zts6zSR5bSmUmKaXYGLewDYfDOJ3DX315PB7C4ZGvsgST\nQ2WJetJJywr9oThVjmyW8Gh2hNBgYRsUwlZQfPTHA/qJq9yuCtslpQsBtWlpqiN/Onuz2/Ov7jyu\n+9HOcM9iSZm6Ll9/lGOdAygJOx8u/STfX38Lm+o/MKXrLBStgSy3eUwTIrKUAJQhUV+qsFXtINGg\nQ99qFnYEgVYwsTuzorRQKwJkK7bJlIw/OHwyAmS9oeFUpOChAgLwRbKjyduP5184aFYEgD09+wFY\nWbEMU85Ok91oJ9hWDWkLFSV2ipFxC9sVK1bwm9/8BnlQxlwikeBnP/uZSEaYBipz3ly+/ihV9hMT\ntv2hOLIIvBYUGblRX1rFtsFdp2etHphiO4KvP1sh3nnYT0uwXV+TxnsHsw0t65bWUOkoL9rO7eEr\ntjknLGOSCq+NWCqm7wDVOKpwZSq24UiSOR41T/u4EBinPVrF1ubIvp9clsKFrZZlC6PbERaWztej\nL4XPtnAOdmY/o9FgfqJMjbMKg5QvC8+qXJn3fd9AnHSmkl5RpBXbcRu+vv71r3PDDTfwwgsvsGzZ\nMpxOJ8FgkN27d5NOp7n//vsnY52CUch9c/n6YyyeXYrX4iaQGKA7OnLHaG4sC6gV31AkicdZfF2O\ngtOX3OEMFZmKrUEysLB0Pjt9e2gKHJ3S9eQKW9kUI5xST76zcqod7xxQK5vz6zyUeYrz4K8xnLDN\n3TqWTKqwzR2lW+2oIp6p2IZjqUzD6v4h43YFpx+hzNQxs23oDkAhVJfaMRok0rJChz/M6gXDTzN1\nmh00uOtoHWjnYN9hLpm96eQWfppwuDsrbEPBfAloNpiocVRxPNwJqNaD3Gx8AH8ge/zT+nuKjXFX\nbFetWsVjjz3Ghz/8YYLBIAcPHiSRSHDllVfyyCOPsHr16rGfRDChuOxm/eSknXSzkV+FV2xBNJAJ\nig8t6stusqn5qhlmuxuAoZNyJpvc4HhDJp8WshVbfyDK0Q4153HtkvwR2MWIzTrUipD7d5YssUzU\nVzYRocZZhduerfaUmNULjlAyTCgh7GinM1rBxGzJFbaFV2xNRoOe9DNaxRaydoTD/Uen9Bgwk2kP\nqhefStJMb396yO25doQV5UsxD8oJ10ZsA1SUFOdF+wm16M6ZM4fvfve7E70WwQkiSRKVJXZau0P6\n1VSVvZLD/UfxFSBsK7w2/c3aNxDnjBr35C9aICgQf07UVy6zMkIyraTpCHfr30822sVjhddGv0MV\nsAYM1GbGXW/d3anfd83i4hmfOxLDVWyrHZUYJRNpJYV5ViNlnst5L6gKW7vJhsfixu3IES5Sif51\nV8Q3rq1nwamFdl4xWJIgq1W/8aaB1FU46eiJjBr5BepwgedbXiGRTtAcbCu6ASjFSG+sH6ygxO30\nBuOkZRmjIVvjbHDX8k4mrvqsqqENr9rxz2o25l3cFhMFvdtef/111q9fj8lkKij1YOPGjSe9MMH4\nqPDaaO0O6dUkrYHMH+slLacxGoxDHqOZ/GdVuXKE7chmfYFgOtAqtpoNQaMhp7LQNtA+JcI2Gk/p\nJ+4PrZ3F461vAWBJezEZTGzd3cGfXletEQvqvUW7VZfLSFaEpdZz2RPbisEVYH94ezYRwVGFJEl6\n8xiARfbqX3dFfEJgnKbIspKNkTSqwnY8jWMadeVO3sNHa3eYlq4BZlcPX2xZUDIXg2RAVmQO9h0S\n77sx6A3GSBlDGAAlYUdWFPoHEpTn2BmXlS3mCekveC0elpcvHvIcmlaoKLEVbd9AQcL2s5/9LFu3\nbqW8vJzPfvazSJKEMkKTkSRJ7N+/f0IXKRgbrYHMp1VsM8JWVmT8sV49hDkXbcuo3GPDYTURiadE\n5Jeg6BipYuu1enBbXAwkQnoywWST66+tq3BiC4aJAZE+B8+/28rvXjiEgpr7esOHl0zJmk6W4VIR\nAMpiS5HDuzE4gzzV/Cw2oxWA6szkQz3uC0jFTTjNDsLJCF05QxwEpxfhWBJNGSQlNdPYZR5/1ulZ\niyr487ZjpNIyP/n9Dm65/mzqK4YKZKvRwlzPbJoCx2jsa+Ijcz90Eqs/9TncHkCyqscwOZ7Jvw9E\n84RtnauGH37gW1iNFizGof02LV2q/aqqSBMRoEBh+8ADD+D1evWvBcWHJmwDoQSJZJqqHCHri/iH\nF7YZk7/LYabUYyXiSwmPraCoSKQTeuh/+aCKLahV2/29jbQOjF/YhhJhLEYLFmPh22m5/lqPG2KS\nakVIhd389/OHANXz/vVPnKXHFhU7esU2nu+36wnESbQux7b8TRLpBIm0GrZfkwnGd+VsQw5EklQ7\nqjgSOCaE7WlMtm9DoTulpoWc4Zk17ueZU+Phc1cs474n9xGKJvnJ77Zzy/Vn61PJcllcuoCmwDGO\nBppJpBPDijGBysG2HiSz+jlW4urf0h+IMbgu67V6hn28vz9Km0+1hyybM/R4XCwUJGzPOecc/etI\nJML69eux2YrTNHy6Uplj4vYHYlSWlSMhoaBkZmkvzbt/MpUmntl6dNvNlLqstPvCQtgKiorhEhFy\nmeWuZ39vI+2h48iKPCSqZiSa+o9x5/u/ZK53NlvO/kLBj9MqtpIEEUO//nMlop4InDYTX79uNQ2V\nxTmRZzi0im00kUJRFH170R+IoUS8VCSW4bfu1e9fk6nYmk0G7FYj0XiagUiCmorKjLAVyQinK5qw\nlRxB4rJ6EagNUxkv65fXkEzL3P/UAQLhBHdkxO3gSuHisoU8dex5UkqaQ/1HWF4+M3ZKxsvbne+z\nvXs3tc5q5npnM8czG7dlfMeZQ10dkHFsGVMO0kDPoKzgaDzFLx7bTYXXzv+5fHHeyNwdh7M9O6sW\nlFOsjDsVYcuWLfj9IzckCaaHXC+frz+K2WCizKY2dHRFh75eoWhO44fdTIlb3WYUwlZQTORm2A62\nIkB2BGQsHacn2lfw82737UJB4UigmX09Bwt+nGb1KffY6AhnY3PkiBuH1cTXrztrRD9gsWKzqhVb\nRYFEKptPrnnpltrOpcKePYnVOKr1r7Wq7UA0qe8S+aO9okP9NEWztxm96hAACYlFJfNO+PnOP7OO\nT1+m1hP7BuL8x5P7htxnjmcWdpNa2PnL0RdGtEnOZGRF5ncHHmGXfy/PNL/Ir3b9hn98/Qf87P1f\nEU5Gxn4CIJ5I0xnKaoESi6oPclMOQI0q3Hesj1d3Hmf/sfxjqiZsZ1W5irp/YNzC9sMf/rCwIxQh\nuVm22htVO9EMl4wwEEnoX7vtZsoywrZfeGwFRUSuWC23lQ65vcFdr389Hp9tR6hL//rV9m0FP06P\n0yux0xpSt1orbGXc8jfn8MPPnTsjE0U0KwJkG8hiiWyTXHWJm08t2YzNaOUM9yzK7dnXQfPZhiJJ\nvZIrKzL+aHa6keD0QWtINnjU13+2pyEvOu5EuOiseq46bw6gekSPHA/m3W4ymLh8zgcBOBps5t2u\nHSf1+4qRnmgfCTnzt83ZXTrUf4Q/H3lmyP2PBJr50ds/46XWbLP/sc4giiUng9ahFgp6Bgnbtu6Q\n/vUrO7PH1EgsxcEWdZdqpGzhYmHccV9Op5NXXnmFp556iqVLl+LxDPVi/PSnP52QxQkKx2I24nVZ\nCIQS+sm3ylHB/t7GYbNswzkZti6HRa/YRuNpovEUdusJJcEJBBOKVrH1WjxD8hQBKu3lWIwWEukE\nbQPtnFW1csh9hkMLIAfY13MQX6SHSsfYW2uax7ayxEZ7xtfb4K5n8eyhonumoFkRQBW0Xqclr4pT\n7rGxsLSe2877NhajJe/EqsX9DEQSVDuyXsrOiI8aZ7ayKzg9CEWTIKUxuNULUi1n9mS5dN1snnm7\nlXgyzQvvtTKvLn/C6YUN5/F6+5v4oj083vQUZ1Yux3oKeW1zfeu3rP17FODPR55hT89+Xmt/k431\n66nP7F5FklH+c89v6Y8H8B15hk0NH8AgGfIax1xmF1VeN/sIDhG27TnZwdsbfQQjCTwOC3uO9ugT\nx1YvLG5hO+6K7QsvvEAymcRisdDU1MT27dvz/tux49S7Wpop6MkIWlUpM1q3L96vN35oDOQK24zH\nVkNUbQXFguaxHa5xDNTqhWZHKLRiG0qECSaygxUUFF4roGorywo9mhXBa+F4WK36TlV+7mRhz63Y\nZhrIunqz25vVZepxxWayDfEiaxXbgWiSclsZRkl9ru6w8NlOFuFkhJ2+PeOy3hSKrMi0hzpoD3XQ\nF+snloqPa2s/FElicPUjGVRLy5LShROyLofNxHkrawB4e383gUHnKJPBxF8vvBKA/niA55pfmpDf\nWyxovnUJiWpnFbPcdVy3+OOYDWYUFP546En9dfrjoT/po69j6bj+2MNtAaRMxbbcXqrv8vYEY8g5\nr3G7L1uxTcsKb2RyuTUbgtdlKfqdqXGX5V588cXJWIdgAqj02jjcFsjJss1JRoj26Fd0kD91zGU3\nUerWhK1CZ3+A2vKZ0dEtOLXpGRT1FU+ksZgNefmJDa46jgSahyQjaD5P06Bw+I6cam2FrQx/rJc3\nOt7hinmXjtpR3R+Kk0qrJwCzK0I6ltZ//0xmcMUWoDMjbI0GadR58FqW7UAkidFgpNJeTmekm06R\njDChyIrMzs59PHPwNXZ07SalpKl2VPHdc//hpLJEmzsH+J8XDzG/3svHz5/Hk0ef4dlBotBhsnPT\nik+xpGxskRqKJjFk/LVmg4l53jNOeG2D+eCaBl58v520rPDyjuP81ca5ebevKF/K0rJF7O9t5PmW\nV9hQu27EC+KZhiZOy+1l+rCLUlsJHzrjQp46+hyNfYfZ5VcbPN/qfC/vsccCLdQ4qjjcHsAwT/1c\nl9tKKTeon+u0rBAIJSh1WwmGEwQjmuVBQlYUXt15nEvWNrDrsPq6rl5QkddQVoyMq2KbSqXw+Xyk\nUqIxoBjRKrb+QBRFUah2ZLcLBtsRNGFrtRgxm4y6sDWfsZ//aP4Zb3XkfzgEgskknk7wWvub/Oid\nf+fWbT/mueaXiaXi+nCGUmsJv3/hEH9356v8+x935T1WG2UbSAT1aLBkOslP37uHb7z6z3mjYAG9\n0groVZ5oKso7XdtHXWNuhm3SnE1EaJjhFdvhPLaasK0qtedNJRpMrsdWVhQ941YkI0wcoWSYW9/4\nCbe98nPe7dxBSslU1SPd+E7Cy9zY2s+Pf/c+B1r6+d9tzdz15Fu80PLqkPtFUtFhfz7sWqNJjBl/\n7Xzv3GHtQydKbbmTFXNVofrS9nZSaTnvdkmS+OuFV2KQDCTlFI81PTVhv3u66c58ngbHdn5o9iZK\nrWoT2COH/szvDjwKQInVizuTH3ws2EJnb4RwLKVbEcptZYP6ctSf51ZrLzxLPa519kZ4alszkbiq\n+4rdXwsFCltFUbjzzjtZt24dF1xwAevWrePHP/4xsiyP/WDBlKF1KcYSaULRJKXWkuzW4KATjda9\n6rKpBx6X3YzJaMBQot7vzY53p2rZgtOYYGKARw/9mW9vvY3fH3yU1oF2uqN+Hm96iu/+Q9DIAAAg\nAElEQVS98a/E0uqW4ytv9/HsO63IisKupp685sf8CWRq1fb142/RMtBGQk7y7iDBqvlry2ylrKxY\npo/CfbVt26jbrt05wnZAUU/eLrMTr2X4zMeZwnDCtqtX/bdWl47e+KOlIsiKQjSe0k+8XZHuU7I7\nfTrY7d+vX5w5zQ421K7TbzsaaD6h59xzpId/+58dRHOyi/fH3iStpDFg4KYVn+KmFZ/irErVs97Y\nd5hYauyplIFYCMmpboOfaMzXaFyytgGAYDjBOweG7grUOqu5oH4DANu7d3G4/+iEr2E60HZABgtb\ni9HCxxd8BFB3twaSqjC9fsk1erW8OdjK4fYAGFJIZvW8X2YrHbbhXMuoBbhq41y91+ZPW4+pv89s\nYOkZxd9PUJCw/e1vf8t9993HZZddxi233MJVV13Fb3/7W+66667JXp9gHAzOsjUajHpMT3d0+Iqt\nK7OVKEkSpW4LkkkVDEeCzSTTSQSCyeTeXQ/wQuurRFOqkKp31TLPOweAcCrr8wz25Vd+jnZkO6Pr\nnDW697MtdJx4OsEzx7KWqcEnt+OhzszjqpEkiQvqP6A/9sgoQkGz+NitRrqiatTXLHd90Y6VLJTR\nrAg15aML29yxuuqQBvXEG03F9JOs4OTQxGupzcvtm77H9UuuwWtRPY5NgWPjfr73Dnbz73/cRSIl\nYzYZ+LuPr2DxIiPGCvWi0B6ewxLPMs6uOpMPzt4EQEpJs6+3ccznDtCB9nGYqMaxXFbMK6eqVC3g\nPP9u27D3+cjcD+Ewqfd5/PD/FuUFVlJO0R3xcbD3MP2x4Kj3jaai+k5U1TCDls6uWsX8zDETYGPd\nuSwrX8wcz2wA2sOdNLb36NVaUC0NbqcFk1E9bmoNZO1+9fdUltjwOCxsWK5e9Gse3OVzyrCYsxfC\nxUpBwvbhhx/my1/+Mj/60Y+44YYbuPXWW/nRj37EQw89JKq2RURlSX6WLWRH645kRXDnTA8qcZmQ\njOoVfEpOcSzYMqnrFZzeyIpM64B6cprvncNXz7qZf1r3Vb529hf4+9Wfp9amVmeUtBG7XMpNH12q\nH4hzI3/MRrM+Dat1oJ1X2rbmiapjwRbdb6soiu6xrXWqzSjn1Jylj4t96uhzpOX8CVwa/sxnqsJr\noy2kCtuZ7q8FMp5l9Wttt0c7Pgw36SmX3LG6ajJClf59V1j4bCcCTdguqpiH2WBCkiTmZoTMeCu2\n3X0RfvXEXtKygs1i5GvXrmLN4iq8848iSaDIBvyNs3noOTXb+QxPA56MiN7lG5ohO5ioRf1smbAy\nKyeKb6IwSBIfXKMeF452BGk6HhhyH6fZwWVzLlbvE2xhh2/PhK+jUBRFIZ3RSGk5zQP7/odvb72N\nLS9/m1vfvIN/e/dX/NNzPyI5Su5zrq1nuAmikiTxN4s/jt1kZ5a7no8vuALITnyTFZnDPa164xio\nHluDJOmjdAdXbOsrVBvDBavyj28zwYYABQrb5uZmLrnkkryfXXLJJYRCIXw+4aUqFkpcVkxG9Qyl\nC1u7JmzzXyctFSF3LKbbm/98jf1HJmupAgHBxIDuFzy/fgMLS+chSRKSJLG4bAEr0lcQ2/MBUvs3\nctuN53PeylrOqFEPuEc68qscms/1aLCF55tfAcBpUkVZUk7ROqBmzvbHA0QzW6p1LlXY2kw2zqs/\nF4ADfYd4cP8fkJWhF+zd/SEMXh/Juu3E0rG83zuTkSQpO30sntKrtVCIsB2+Ygtq5JdgeHb59vKD\nN3/Co4f/TGSUgP1oKkpHxhO+qDw76GB+Zpu5I9xFJBkd9rHDsedorx7Z9A/XrWbx7FKOBprZ3aOK\n1orEEkja2HG4B1lWMEgGVlaoUyv39uwf8aIPIC3LyE61gFJpaih4mt942biyFmvGPvPIy03DVmQ3\n1X+Askzu9RNNT4267skiEktyx++286U7X+MvbzbzUuvrvNX5Hv3xAArZNfdE+jjaP/IFSlc4V9hW\nDXufelctt2/8Ht9c+2VsJvUifbanAQlVD/SmO/MqttrfRk9GCESRFUWP+mqoUpvHZ1e7mVurXthI\nwJmnkrBNJBKUleV3F1osFmw2G4lEYoRHCaYag0Gi3KO+UbPJCOobMZQM5x0AdY9tjrB1OPMPEIf6\nmiZ1vYLTm95YzvCFYbqXj3UOoEQ8zC6pxuNUK4PzatWrr6PHg3kntFmZymlvrE+3MHx62bX6gV2z\nI+Q2jtVlKrYAV867XI8meqfr/bz4nM5wN/994BE6ap/Auvg9Ahb1gk9CmtCu7+lE89nGEulBUV/j\nEbYJHGa7PuZz8MX0qYaiKAVPfQLo6AnrY8yfb3mFrkg3L7S8yj9vu50XW18bdlrbsWCrLoIWVWRT\nALSKrYLC0XHsrB3N7HRUltiYX+dFURSeaPoLAHaTjcvnXgSoFzhtmUaiMyvUzNhIKkpTYGTP6vFg\nLwa7Koxm2ecUvKbxYreauGydWo080NKfN0RAw2w0c+W8ywA1Eej1429N2nqGIxxL8pPf7+BASz/x\nZJo/bN3L44fUQQp1zhquWXgVn1vxaUyZHpgDvYdHfC6tYmsz2vCMMkLXaDDmXUzYTTZ9aAqOfl3Y\nui0uLJmmPk0v+INxegMx/f2pVWwB/mrjPAySxIYVNXidMyMbeHIuqQTTRm4yAmSzbCF/PGkolu+x\nBbDa869qjwZbhM9WMGmMNlVMURSOZaqyc2uyzVlz69TqQTiWymvmGlw5XVq2iJUVy/SIO+2ErNkQ\nDJIhr7poNpj43Mr/o/vSXmnbyu8bH+OXO/8v//LWT9h6/C0wqsLDLFlZX7uWr635gl75mOnkClut\nYmu3mvA4Ru9qt5qNuj1kIHOxrNlCTvXIr//c+xC3vHYre/z7x7zvuwe6+fZ9b/GT/9lOWk7TmpO5\nHElFeeTQk/zLWz/Vc5s1NKuBUTIyt3S2/vNZ7jo99unoOHy2RzvV/Oa5tepn6kDvIQ5lduYumX0h\nK2ZnIyEPtWWawEoX6DF4I9kRFEXhxZzkhPmeEx+jWwgf3TCH+gq1qvjwi4fpDQ5tbFtbvVq/4H3q\n6HMFNb9NBJqoPZb5W3ucFsyzDqIYUqDAauvFXDRrI6urVjKvZA6gvg6DURSFUDSpC9tqR+W4/fya\nHcHgCmDICNuKnNHk2YptjNacRISGymzc55nzy/nlP2zipo8uHdfvnk4KFrYzvUHidGHwkAZ3zhVe\nKKleTSdTaf3KLLdia7HlVwyEz1YwmWgXWiaDKe99CtAbjOt5inNqs2Hg8+qyfplcn+1gr+sV8y4F\nYH6JWuVq6j+GrMh641ilvWJIFJHNZOWLq27UK7mvt7/Jnp4DgCosUv464gfW8pnZX+bTS6/Vm9xO\nBTQrQiyRtSLUlNnHPO5LkqRXbTVfrtbg0nWKD2nY33MQBUV/j4zGvmb1Iq6pPciOlhZ9YM6HZl+o\niw9/tGfIeNSjAfX4O9tTr1fZQP3MzHarjxut4TGXaDxFR2areV5G2D7d/AIAbrOLi2ZtxOO06PaT\nxlY10s5sNLOsbBEAu/x7h2z9y4rMHw/9ibf9b6rfh7zUe4bfMp8ozCYDn/nIUiRJvRj7r6cPDlmX\nQTLwsQUfBdRz3/Mtr0zqmkD9DPzkdztozojai8+u5+ZP1mCqUD35Kd8sHn2ml+OZ12FJJjniaKCF\nWCp/6MRjrx3h7//9NZr8qo1quMaxsdAu1A3WKEaXeqGSezGuCdtUWmbfMfU9ajRIQ3ZqzCbDjNKA\nBQvbz33uc1x33XV5/8Xjcb7yla8M+blg+qjIJCP0BuOkZRmnOXvlFU6oH6ZQNCtgc4WtwZytzhoy\nb41GYUcQTBJaxVZtZMg/FB3rzIrWObXZim2l16a/Z4/mCFuH2aHbblZWLNMP6AsywjaSitIZ7taj\nvupGGPfqNDv40urP6lUNp8nB5WdczN/UfJ7kkTORgxXUlI68HThTGa5iO5a/ViM7pEEVazWZE3Bv\nrI/EKbrjIyuyHkXXM6jKCmpR4MH9D/O/R54F1KYtjdcPZ4Xwxvr1fGPNlzi3Zg0AO/17ddErK7Ju\nMxjO8qL97FiwpSAP6bHOAd3ZObfOw5HAMd2ic/Hs8/URtItmqRePjW39uljU7Ag9sb68cdSyIvPQ\ngT/ycttW9fuIi3jj2XlNhZPFvDoPl52jfs53H+nhjT2dQ+6zpGwhy8oWA/Bi62uT7rV94JmDNHep\novaDaxq47oPz+ePhJwCwGewk2xaiKHAwc9GgRaLJijwk4eKd/d2AQjCt3rfGeeLCFgCLWrHOtX2V\n50R+7cxMFqstd+i7MDOVgla/bt06HA4HZrM57781a9bgdDqH/FwwfVRmsmzTskJfMI7LnD05hTLe\nw9ypY7mpCGSivpS0kUqLWgE7JBrIBJOE5rEdbjv/aId6crBajNTmCCxJkphXpwrdwQ1kn176N3xw\n9gV8aslm/WfzvVlfYmN/E50Zj22tq4aR8Fo93LLuK3xx1Y38y3nf4sr5lxMeUIWfRP7J4FRBE7bR\neCqbYVuwsM2M1c1U2LUhDQoKvkExg6cKudvauRYvjT09B3iz412eOvY8x0OddPdlbTOHelSxajfZ\nKbeVIkkSH6g7B4BEOsFuv7rd3x3x6TF480pGFrbxdCJPbI6EFpFnkCRmV7t55thLmXXYOD+T/Qqw\nsEEN/A+EEvrO3/LyJbpfXbMjBBMD/Mee3+qZ55ZEGfH950DKmlcwmUw+tnEu1Zn4r989f2jYcfAb\n69cD6t9pcOzlRBJLpNhxSN2l2LC8mk9espBX29/Qm/+uXvgRyh3q7lNLRvzO8c7Cmmn2auzL+mxT\naRl/IIZkierjiU+kYlvrqAI5X+blV2yzSUpaMkJ95cy/cC9opO6DDz442esQTBB5kV+BGBUldmxG\nG7F0LFuxzQm3d+YcgFKSelBQkha89lq6aNN9thM5QUYggNxxucMJW/UkPKfajcGQvwU2r9bDrqYe\nWroGSGayOEE90Q+ubHmtbirt5fiiPbzV8Z4eq5PbODYcDrOd5eVL9O+1Zswyj3XGVzOGQ7MiHPeH\n9YlO46/YZoRtzgm4K+LLG+V9qhDJFbbRXmRFztt16M6xYRzoOUxPMHvMTVn6MaI2PGrbu/O8Z1Bi\n9dIfD/Bu107WVK/mSCBrA9O8mLnMzXmvHwk0jxmvpe1wNFQ68ce72dOjeoPPr9+A3ZS9WFs0q0T/\nurE1QFWpA5fFyfySORzuP8p23y5SSooXW14jIav/rnSwjEDj2SCb8DotWKco69RiNvKZjyzl9ofe\nJxJPcf9TB/jq5jPzts1zP+sd4S59IMtEs/dorz5y++KzG0graZ46plo9znDPYkPdOt6r2kNPME5L\nl+pnNRlMLK2Yz47OfXnCticQIy0rejMegF0ZFFtUAMFwinTYi9Gd7WfI9dh6XRaMBklPygB07/JM\npmiO0AcOHOCGG25g7dq1bNy4kS1bttDTo0732bZtG5s3b2bNmjVceeWVPPnkk3mPfeCBB7j88stZ\nu3Yt119/PXv37p2Of0JRUJE7pCFzta1VbUOZDt6B3IptzpZRRAvET1mwxtWTU0pOjavrViAoBFmR\n6Y2pW2zltrJBtyl648Xc2qFTveZmKraptKJ3bo+G5rNtGcgGuteNUrEdDp/WjJlz4XgqYbOqQiQc\ny9qUCha29kzFNqqKnDJbKaZMY9OpmoygVVJBHV4QTAzk3Z5bqd7rP0TW/qlgcKoCM1eIGiQDa6tX\nA7Cv5wCRZERvHCuxeGlrT9Pcmb9D4ba4dPvNkQIayLQdjrl1Hp5rfhlQmyYvnnV+3v0qvDZ9xHpj\nW3Z0tGZHaA918PSxF3RRm/LXkTi4huoSDxeuruOrm1dNqR9z0awSLlmr+o13H+nhpe3tebeX20sx\nG9SLr46cVJSJZsch9TX3OMzMrfPQ2Nekv08+Ou9SDJKB2dVqNbTNF9LzbVdUq1aJ1oHjevRbV8a6\nItlUYaso8PbO8Q88aekKIYfyBXGZPVtIMEjZJCWNhlOgYlsUwjaRSHDTTTexfv16tm3bxpNPPonf\n7/9/7J13eFzlmbfvc6YXzWjULcmyJFtyb2AwxtiY3gILBoIJSRZ2gSQk+bLky5ddUnZTl01IsmwS\nspvsJrshCckmlBBSILSAsSk2bnLBXZZkyaoz0vR6vj/OnDMzKpZkS1Z77+vyZWlmzpl3dM6c83uf\n9/c8D1/60pfo7OzkgQce4AMf+ABvvvkmn/vc5/jiF7+oi9dXXnmFxx57jEceeYStW7eyYcMGPvKR\njxCJnJsMyMmG3WLUI0p96cisw6zOwILp5LFglrB12jJB+0A6oqskTLQ2mfVSJKLsl2Cs6Y32kUzX\nsC205UZsO7xhwum+5NmJYxrZYjc7gWwo5mXZEQBIyfz5jS72Huse0G9+KLQl2aLpKmzNAyNsw7XT\n1dAqq2glBGVJpsCqRv0G859OB7KFLTCgmkFnuFv/udF/AtLu1vnzLEjGdJKdNXdypQnbhJJk+6k9\n7O9Ur7vedjvf+uVOPv2vr9HWHczZptZVDQyfQOYLRPH61RW54hKFdzt2A7Bm1oUDEjclSaKuUhVD\nh5sHCluNpK+IyN6LWeu+jm8/sJ6H77+ID1+7gDllA7+z481tG2pzqiRk/51kSdZ93+MlbFMphd1H\n1WO+fF4RsiSxu0vVKDajlfmeuYBaFxYgnkhxKm35WVKiClsFRbf+ac/JmrCN2XhjV4feIWykNHX4\nUYL9hK0lP+f3/taqimIRsR0TIpEIDz74IPfffz8mkwmPx8PVV1/NoUOHeO6556ipqeGWW27BbDaz\nZs0aLr/8cn7zm98Aale0jRs3snTpUsxmM/feey+SJPHKK68M867TE0mScDnUG01fUL2AOtIR22C/\niK3FZMBkzNzQNOGrJMy0tEeYZVcjCsJnKxhrurNq2Bb0i9g2ZnlnB4vYOm0m3Vd3bJDOQ/3RIrYa\nqbCTV3e08Z1f7+a7T+4ZtuVmLJ7UrQjTNWJrM+e60jx5Fr0I/nBoVoRYIqVXW9Gi8NnHeToR6lc6\nqr+Az+70GEmFkKxBJGD5koylq6fDkrNNpbNct3E82fAq3rgqlOJ9qjCJJVI8+WpukEGz3vREvPii\nQ38XsltQt8kNunXiyqr1g75esyO0e8P0pn2rxfZCbqy9hlpHPdEDFxI7tIpaTyUfuLJOj/BOFCaj\ngftuXITRIBFLpPjRc/tzJq1laTvCeAnbIyd79dyVFXVFpJQUDZ2qsF1cuEBfwagqyUwimjWfbf5s\nvQXwwXQQSYvYmp3pCVTYQTKl8NzWxlGNq7kjQCqQEbJuc94AW2FRlrC1mA3TIodgUghbl8vFbbfd\nhiyn22UeO8YzzzzD9ddfz759+1i8OHemuGjRIhoaGgDYu3cvixYt0p+TJImFCxfqz89EXHoyhxqx\ndZpyI7aDNWeAjFWBhPq4OaJeZI/3npi22c2CiSG3OUNuxFZLHHPaTDkX3Wxq9ASyzBJwKqUMWs+y\n2FaIUckI0gJTkR6h3Hu8h4Zj3QO2yebp14/pN8nqCYhGnQv6R2xHakOAjBUBMtcczTc9fSO2/YRt\nVgJZNBmjN5a7kiC7eihwWYib1PNeSRpoOJC7D0mS9Kht0urV2xyfX1HPRYtVX+i29zo4ejIjYLO9\nt6eL2mrC1myL0+Dbpe63ZMWgjVEA6iszYkirZwuwpngdLe8sIOUvwGE18tGblkwaz3lVaR4b16uR\n0ROn/PxuS6aZhFYFpSPUOS6VEXalKwqYjDKLqgs40ddMb9qesrx4if66QrcVu0UVuU0dqrVAlmXq\nC9Rxaz7bjp5cK0KZU03I3NLQllNhYzia2wMoMat+/RvseGdfYyuKHMhTqKzXUIwoeexc0draytVX\nX00qleL9738/n/zkJ7nvvvsoK8tdsnG73Xi96gXC5/PhcrkGPO/z+RgpsiwNSFCZyrid6o2mLxTH\naJTJS1sRAokQRqNMKL3Mm+cwYTRmLkpandsih5s2oPOkA8rUpbGmQBMLCuswpC9ihklyMROMDef6\nuHqj6vfXJJvw2Fw5njyt1FfNLBemIZJQ5lW6eWtfO+09IaLxJL5gjO8/tYeTnUHuu3ER6/r1OJeC\nBeBUvXeXL17IZdes5zOPbcEXiPHCO82cN3/wupsHm7y8uK0ZgOXzCllRVzSl6jmO9Lg6+k1yZxU5\ncq4NpyM/K1oXiiUwGmWKHYUA9ER9yAbGrb3qRBFN5YrSnqhX/3u1hwdGqeW8HkrtdlqCBwFIhfI4\n2uKnuy+SU31idfl5/OH4i/rvBsnAR669mHgcGo52E4wkePIvR/nch89HkiQqXKXYjTZCiTDH+xq5\nsHzFoONtTE8AC6o76E0nUF5Xe9mQx7hqVh4Oq5FgJMGRk71ctKSMWDzJfz63j96gOnm576bFlBaO\nfAJ0Lrj+4jk0HOvmwAkvf3jzBBcuLKV6losKl6ohUkqK7lj3qD32w6GVylpSU4DDZqKhWa0cYZSN\nLCtZkPN3nlOWx4ETXpo7Avr3clFRHbs69qotkpNB2r1hkBMkDWrEdvXcubTsSpBMKfzy5SN8+o7h\nfczhqNbERqLSUkNjbD9z86sHHPOSLMvR7BLniL/3k5kzFraBQAC/3z/oMl55+Zn1Ty8vL2fv3r00\nNTXxxS9+kf/3//4fwLBLhWdLQYFjSt2shqPY4wC6CUUTeDwOit1q9CQYD+LxOIjE1ehTgcuGx6OK\n3mgiRjylRmUXVpXRdgDamy24y03EUnF29uxhzbzMRdPlmp5LsjOdc3Vc/Sn1RlviLKSgILM8l0ym\nOJHOGF5UW6ifn/1ZuaCMn79wCIDfvXmCV7c3E0kvg7/zXgc3bajTXxsIxwl256FZCevLqiktcXHT\n+rk8/scDHDjhpSsQo252buQ4HE3w4z8cQEGNHj/4gfMpcE/N836441pYkPt3nluZP+Tfvj+V8cyS\nryIb8HgczPHPgsOqkFAscTyOwSODUxXlZG7Uzxfv1f9eh4OZJJ8lJfPZ23EQQ14PlZY8GtIdx5SQ\nGozZcaSbD1yTqSLh8TgwxT16ZHduwRxKClUrwq2X1/H4Hw9wsNnHkbYAFy5WxdmCknnsaG3gtZY3\nuWDOMs4vX5oztlRKSXccSxF1HQcFlpbOZ0nVvNN+xkW1hWzb386Rk32YrWa++cu39SL+f7V+Lles\nrh7Nn+yc8ZkPreLj33yFSCzJb/5yjK9/7GIWmGpADVTTh4/Fac/rWNDS4aetW42irl1RicfjoKFb\nFbbLShcwq7gw5/V1czy6sM3LU6Olq6qW8sT+ZwBoDJ2guy+CZM/4hFfW1BJfn+SZvxxh95Eu9jX1\nsm5FJvkwmVLYvOskpR47C2vU71rb8cxK1KYlt2F1B6gvrMFoyJV9NVnXvfo5BSP+3k9mRi1s3377\nbb7whS/Q0tIy5GsOHBi+xeDpqKqq4sEHH2TTpk1s2LBhQPTV5/NRWKieLAUFBXr0Nvv5+vr6Eb9f\nT09wWkVsLSb1s3j7Ini9QQxpa0EsGae9y0tPnzoLtBhlvF71y6NlqAPMKyniVakHRTFQKtXRzH7e\nOLGN9825hnybC5fLRl9fmOQIE28Ekx+DQT6nx7W1V2236jHn6+cgqPUdY3FVNMwqsOU8l02+zYjR\nIJFIKvypn+9s//Ee2jv7MKf943uPdZPylaDMPojFaKLYUILXG2TNwhL+98VDRONJfvXng3xiY64g\n+Omf3uNU+ob1wavrkVOpIcczWRnpcU3GcrsOumzGEX9WJZERea3tfXjLnFhTmZvj0VMtGAom1oOp\nsbtjH3u7D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IVt5ibjtJnId5rxBWL09sKFlSvZ0voOb5x4hxurr8UizbwvjODMCUeTxBIp\nTJaMP1GSJIwGCadNHtAJ70wwyDLzZ3vYdaSLAyd6sKQbPNSUu047CS/Kt3HnlTP7mvb3HzgPfyhG\nwSgSx7KRJYmb19VSM8vFj57bRzSq3pgVFLzRXorSnttntzSiAMFIgkd/vZsvfPh83M7xKQe2r7GH\nP755gpvWVmPJz0Rs80xO/PEAb7Vt54aaq0bVQCKlpLKErY1CWwFN/ha6w149cUxCwmPOp9OnnuvF\npgpOJg8iSzLljln6vlYvKmXr3lMEIwl2HlZF8aKaka2GbVxfy85Dqu/zmc3HuO/GzNL3s5uPc2if\nHUPREsy1qpf40sq1MzIQVVXqpNBlobsviinpImnooS3YzvG2PpLpakh1WZ3Wnjv6PId8R/nggtsp\ndWQat/TF/Lzc/DqgitqPr/hbvVUuQIHVwydW3EssGcdsOP21LNv3euxkry5sNSsKkNO4YzTYLEbu\nv3ExP33+PdYtK5+Rx3zUawx1dXWEQiNv6SaYGLSIV18wt61uICtJTMtkhozH1mHKjZ4Up2ernb4w\na2apSQfxVILG3mYEgtHQG1SFhWQZmHgzlmhlvlo6g3qVhdoRenZnMiajfMaiNpvl84r4q7U1KNFM\nxElrrXv0ZK+eIAjQ3Rfh0Sf3EOlXR3eseP6tExw44eXp14/leGzXVVwEqAmx+7sPjmqf0WRMXwmw\nGW0UWVUh2hXpoS2g1g4tsHroCyb0ZKNl+SuxGMxcVHZ+juhZOMczYEK3+DT+2mxmFTpYv0LNZ3lr\nXzvPbW3kt5uP8ZM/HOC5dG3n2caF3Lf4bjbN38iaWatG9TmnC5IksbJObYIR6lXPybZQh94q2CBL\n+vXBHwvw/IlXONZ7gh/v+wXxVOa8fL7xZf0c2lj3vhxRm81wohZU8amVFjyW1SK5Patd7pl43TXq\nZ+fz9fsuGjKqO90ZtbD9p3/6J7773e/y5ptv0tvbSywWG/BPMPFoPlstcUarjKAJWLvFqPtyINuK\nMISw7Q1TkdWGsD3YMU4jF0xXfOklNl3YDtGn/mzRhC2gR2RqywdWRBCMH+tXlGOTMsutms/2T2+r\nGeNWs4ErV6nZ3idO+fnhs/tIpsa+fqZ2/TvW2kcgmmmDe37pCv1a92bbtlHtM7vUl91o1c/jYDzI\nm0fVZepiW2FO9G1paR3fWv8V7lqYW1/daJC5YEEmKihJsGDOyCd8f7W2GovJgAI88/oxfrelkTca\n2gC1ZN4nb13GitJFrKu4aEZG7jTOq1eFbTKoHvOOUCeHWtTJVlVpHpa0x/yw75i+zclAG78/ptbQ\n7wp388bJtwFYVbpCt5OcDbPT3tdjrVnCtke9PxsNYzPJnKmM2orw4Q9/mGQyydatWwd9XpIk9u/f\nf9YDE5wdWsRW821pkdhwUv3iFPfzcGmRXIc5d/lD8+d0+SKYZBMF1nx6Ij5OhToRCEZDbyAKpJDM\nqsAoGKeIbUWxA5fdRF8ok5QxVOKYYHywmo1ctaKWF8JGJGOCY11t1FiC7DykXjc2rKzg9g1zCYTj\nvLWvnd1Hu3n6tWPcftnp27yOlmBEjbglUwpNXZlIscNkZ3XZ+bzc/Dp7uvbTG/Xjtowse1yzIYAa\nsbUYMjYKxa4mIPYXtiUe25B2h9WLSnl1p1q1oLrMhcM6ckuO22lh4/pafvnyYXU8FiNOm5FSj533\nXzZv2FrQM4W62W6cNhOhsComU0qKo12tgF0vEQhw2HssZ7uXm15nceECtra+Q1JJIksyN9RcPSZj\nqipx8u7BTppO9eEPxbCZjZzqUc+ZUo9NL7cpGD2jFrZ/8zd/M6NnflMFrZatP6RZEVTBGlPUi3Jx\nfmY2qCgKwUQo/brBI7bReBJ/KE6po4SeiI/2oBC2gtHhC8SQzBEkSY2iFlrHJ2IrSRIL5nh454C6\nqlDisY2Jf1cwOq5YNZsXXrGB0c/+1pMkTjahoC79XrVqNpIkcc91C+npjXCopZfXdrVy24a5Y3p/\nCUUzS8nNWcLWbDBzcfkFvNz8OiklxZOHn+Vvl3xwRPvMFbZWrMaMeNSGngjbdGHrspuwWYa+1c6r\ndFNaYKe9J8R59aOvBnLVBbNZv6Ico0EakNkvUDHIMsvnFbL1UCY6GjX0AXbqsxLHDvuOAmrZtPZg\nB8FEiJ/s+4Ue+LmkfPVpqx2MhsU1hTyz+TiJpMKvXj7MPdctpCNtRThTf61AZdTC9pOf/OR4jEMw\nxuRpHttQbsQ2Jak+x+yIbTQZ0wtWDyVsQfXZltqLOdB9SFgRBKOmLxjLqWE7Xh5bUO0ImrCdK6K1\nE4LTZqLIVkA3frxRL1sOngJgzZIyPZJoMspcurKCQy29hKIJuvsiFLnP3FuYTSqlEM4Stm3ePnCr\niV0m2UiZo5S15ReypfUddnTsYXn7LlaVrhh2v9lWBJvRRr7VrZagydLjDe9FqDCpIqXEc3qRIksS\nD75/OUdafKxeVDq6D5lGS5IUDM159cVsaWhDScpIhhSy3U/KW8a8dMQ2EAvqXcnOK1mG2+Lix3t/\njj+mVrMwyyaurb5yzMZTW+5i7dJZbGloY/PuNtYsKuNU2opwNv5awRkI2zfeeGPY11xyySVnNBjB\n2KF1S4rFU0RiCZyaxcCQBCmZU8IkGM/tOpZNf2Fb5lG9St5oL9FkDIth+ndlEowNvmA0V9iOk8cW\nYGFWHVDhr5046kvLebP9BJIlrPudr+uX0FKVlSHe3B4YM2Eb7peQ1h0IYnSryT2aLWDjvPfxXs8R\nuiM9/O/BZ6jLr8VtOf1EKBTPErYmK8FQklTMimzJRHK72g10RdUqB6crM6dRkm/Tk4kE48Pi6gLM\nJgNKxInk6EO2BSgrsOurm0ey/LV1+bVU5pWzr2wVb53aDsDls9eN2K4yUj5wVR17jnbjD8X48R8O\n6NYZEbE9O0YtbO+9914kSUJRFP2x/ktHokHDxJOX1aShLxTPrXZgjOdYEQI5wjY3Yut2mjEaZBLJ\nFJ29EeZXZhIdOkKdY2KiF8wMegOZiK3VYMFuHL8beUm+jRsvrqap3c+axWXDbyAYFypcxdAOmKIg\npVg5r4RZhbnXmLJCu36NaeoIsDKd6HO2hCK5wlaR1N+zPbFWo5UPLbydf9v5I0KJML9470k+tuye\n09ohwsksK4LBytuNHWoFCE3YKqi/p2+RIxG2gvHHbDKwtKaQPWEnsqMP2eljrj0jVA+lha3daKM8\nnSh9W/1N9Mb6UBSFK+dsGPMx5dnN/O1Ni3n0Vzvp7sucVyJie3aMWtg+/vjjAx4LhULs3LmT119/\nnS9+8YtjMjDB2eHKqlHbF4zhtGdmgJIxRnFWVCS7nW5/K4IsSRTnW2nrDtHpC3OpPdMu+UjnSR57\noom55W7ufd9C4b0WnBZfIIrkVoVtQbqG7Xhyy/racd2/YHi0BEFJAoM1wg1rqge8xiDLVBY7aDzl\np7kjMOD5M6W/sJUMahe6/qtMdZ65XDb7El5p3sy+7vfY2vYOa8tXD7nfcDyi78cgG9h3vCdd2kyt\n/OA0uggrGWuAELaTh/Pqi9n5RinGolYkcxR7Xrf+nBaxnZtfo0f0bUYrn1hx77iO6fJVs3nhzUYO\nnMh06DuT7n+CDKMWthdeeOGgj2/YsIHq6mp++tOfct555531wARnR3bnJn8wRok7I1hlU5zCrG4k\n2VaE/sIWVDtCW3eILl+YfKsbs8FELBlnR1MjHd4iOrxhzqsv5vz5YxNpEUxPegMx5HI1gacsq/C5\nYPpSlGU3+fCNs4esTjG7xEnjKT9N7f4xe+9QJFMVI89uIiKrQtc8iH3qxtpr2d99kFOhDp4+/Acu\nKF056Osg47G1GW0oisK+Ri+KOyNEyvOKKZidz8F0vd7SYTy2gnPHsnmFSH8sIRVVrSMtyl5gPcF4\niNaA6gGvzz+3E2JJkrj7+gV8/kdvk0imsJgN57TV9HRkTFMoV61axZYtW8Zyl4IzJDti2xuK5Xhn\nnXlKTv9vzYogIWE3DYwuaNHdTl8YWZKZlacmOHSEM5URntl8jFRKGbCtQAAQiycJpQLINnV1oN4z\nd4JHJDgXZJd0y/ZX90drMdrVG8kRpGdDMCtiu7KuSI/YmuWBosFsMHHzvOsBiCQjtA9SzjAcTbDj\nUCeBmHoO24xWWjqD9AVjOc0oiu1FbLqiDqtZbWdaWXxuWgYLhsdhNTG/qoBkx2wAGgONtAXbOeI7\npjfdmOc59ys9swod3Hap+r7L5xaK1c+zZNQR29Px1ltvYTCI7MzJgMVswGIyqGW6grEc76zDmStA\ng+lSJnbT4LUWi9J+3B5/lEQyRXleKSd8LQRSmfI5rV1B3tx3irVLZw3YXiDoC8YwuDLLfvM9Y1uv\nVDA5sRmtOIx2gomQ3qRhMLJbjDZ3BJhfdfYVM7JLfa2sK+atPaqwTcYHj+fMcmS82F3hngH5A795\n9Qh/2dWKZ+kpsKkR233H1SL/OcLWVsicsjy+8dE1WEyGnEY4gonntg1z+e8/B+jhKClSbD75Zo71\noNJZPswexoerL6zi/Pkl5OeJaO3ZMmphu2nTpgGPKYpCT08PLS0t3HjjjWMyMMHZk2c3Ee1N0heK\nY5KNkDKCnMBqz+3wExii65iGVhlBUaC7N0KFS43YKuYAoKSTCeHZN46zelFpTjRYIADwBWPIblXY\nOo15FNvGphakYPJTYPMQ9If0trqDMS7CNh2xlSWJRdUe5P2qsA1HBo+GeSxuZEkmpaToCncPeP5o\nax8AwVgYg03tOrbviPqZKlyl9KS3LXeqk/s8uxAok5HqMhdf/vA6/ntfM9vbd/F227u4LWrllLnu\nmiEbaZwLsi2CgjNn1EfQZDIN+GexWJg/fz4PPvggX/7yl8djnIIzQPPp9AVjKIqCElcrJZisuUkV\nWvJY/4oIGtklvzq8YcrTVgTJkARTlBsvrgbUZcTXdrWO6WcQTA98/ghynioC5rnGtgi/YHKjNeLo\nOU3E1mYx6uWumsYogSwUVS0NdqvaPtxsUVeqgsHBW/caZAMFFrVY/2DR5a5eNWlMMqj7jUZkDqV9\ntMvmlHPP4g9wy7wbWFhQNybjF4wvl1ZeDEAkGaU9pNa8rpsAG4Jg7Bl1xPZnP/vZeIxDMA5kdx/r\nDcZQEiYkSxjZlOthCw4TsS3KmkV2+sKsrM0UETc7Q7zv4mp2H+nmRLuf57Y2csnSWXrvbYEAoKWv\nQ6/zubhY3PhnElojjq7I0BFbUKO2Hb4wze1jJGzTEVt7uuuXyaQQB/yBFCc7A+w83MW29zqQJPjM\nppU4bSYKbQV0RXoGRGxDkUSm2YNR/f9gY4B4QhXJi6oLWFgifONTiRrXHCqcszgZaNMfqzvHiWOC\n8eGMY+4dHR289tpr/OY3vyEQUC9E0Wh0zAYmOHtcDjVC2xuM0ekLo8RVoavIsZzXBeNaO93Bs3fV\n/uPqvjp9YT15DKCgKIHRIHNr2vjeF4zx0rvNY/tBBFOeptBx/edFRfUTOBLBuUZrxOGPBYglh04M\nm12q2hFOdgVJJAePqo4GXdhaVWGrJY+lEga++ON3ePr1YzR3BGhqD7C/URXdWhWH/raJ7BqjZos6\ntmRc3a/ZJDOvQjQBmWpIksSlFRfrv1sNlgnz1wrGllEL21gsxuc//3k2bNjARz7yEf7xH/8Rr9dL\nS0sL1157La2tYil6sqBZEfyhOF2+CEpCFacJIjmv0zy2Q1kRIGNH6PCF1d7ocTWKa3Ono3A1BXrP\n7b/sbM1p4CEQtMdbAJBjTvItQgTMJLJbJ/ecJmpbVaJWRkgkU3pr0bNBSx7ThG2CtKhOqatJ2WYY\nn18NyhRZC9Pj9JJSMuK6q1er6KCQ0gID6evp/NkeTEaRVzAVWVW2EptRvZfV5ldjkMVK43Rg1N/G\n733ve7z00kv8/d//Pc8++yxWq3pSFBYWMnfuXL7zne+M+SAFZ4aWvBAIx2nrCUFC/T2cypTdURQl\nS9gOXW9R61TW6Q3T0xchGU6/1pIuFSZJXJKuiNDdFxmTG5NgepBSUvRJ6nKfIyG6gM00slsndw6S\nlKVRlY7YIiXZ3nyAE33NdIe9p43yno5gRPPYmlAUhVhSFaSzPC7ef9k8HnngYtxO9ZrYkxa2hTZV\nhCeUJL3RPn1f3Wl/LXJKF7weuxoIuHiJOKenKhaDmU3zNzLHNZv31Vw90cMRjBGj9tg+99xzfPnL\nX+baa6/Nedxms/HJT36S+++/f8wGJzg73FlFno+39ekR2+yGDJFkRL9QD+WxhdyI7ZFmH0rYAa4e\nwvTqr1lSm7mB7T3WM6B1pmBmcjJwipSsCocCuXKCRyM41xTZCpGQUFBoD3WydIjXefIsOKxGYhW7\neNF3ihe3Z54rsHr42LJ79FanIyHbYxtPxfU6pVedV80lFVXqezot9AZi+AJRfawaXeEePNZ0Mlna\nipCXJ6Gl3t66bj6zr6gX17kpzqrSFawqXTHRwxCMIaOO2Hq9XhYvXjzocwUFBQSDwUGfE5x7ssvN\nHG/tQ0lHbKPJGPF0FEQrNg7gNA8vbEORBLuPdJGKqK/ti/fqEZV8p4XKYjXqsvf46RNFBDOHg97D\ngFoursJaNcGjEZxrTLKR4rRgbA92DPk6SZIoqYhiLDw14LmeiJednQ2jel/NiuCwGokmM3kFFoNF\n/9mTp/7s1SO2mcl5drKbVhEh350xMOSZHULUCgSTkFEL29mzZ/P2228P+ty7777LrFmiQP9kwWU3\n6T+HogndEwYQTKiCNpAVvT2txzarMsKW3a0oaWGroNAZ7tKf06K2B5u8xBPJs/wEgunAwZ4jACgh\nF0XOwVuqCqY3pQ613fapQTp6ZRMp2K/+kDTyieX3ct+SD+krSeH40J3LBiM7eSxX2GYm/P2FrcNo\nx5oWvt1ZtgnNiuDKy9wybSZRc1QgmIyMWtheddVVfO1rX+P73/8+O3fuBODQoUP87Gc/4+GHH+bm\nm28e80EKzoz+/aa1qgiQqYSQbUsYqioC5Nay7emL6MIWyGk/ubRGFbaxRIpDLRmbgmBmkkwlOeJT\nKyIk+wpy7DGCmUOZXa2k0h7sGDKx9JD3CD7pJADxtmrKzHNYUbIUt0WdDIUSIxe28URSL8VltxiJ\nJjMVewaL2PoCURRFbTajRW27wplatlrE1uHIjN1mHNh+XCAQTDyj9tg+8MADdHR08IMf/IDHHnsM\nRVH4+Mc/jsFg4NZbb+VjH/vYeIxTcAY4bCZkSSKVvpEoWRHbQLqNbiBHzdVUugAAIABJREFU2A4d\nsfW4LLn7itqQMZAiSUeWsJ1XmY/ZJBOLp9h7rJvF1QVD7VIwA2jsayaWUqNlqb5C3E7LMFsIpiOl\ndjViG0yECMSD5JmdOc8risLvjr6g/hw3kThVTXOHH0+eBXtaQIYTudVcTocWrQU1eSyazCrXlRWx\nzU+fj4mkgj8cx2U3U2Qr5GSgje6IGrGNxpIEwqrdymZXIO3esgthKxBMSkYtbE0mE1//+tf51Kc+\nxd69ewkEArjdbpYsWUJhYeHwOxCcM2RJIs9uojeoCgvNYwsDrQiyJGM1Dr20ZpBlCt0WOn3aDUKi\nwFJAV7STU8GMsDUZZRZWedh9tJuGxnZW9EjUeWontE2hYOJ4t2M3AEpKIuX3kO8UEduZSJmjRP/5\nVLBjgLDd1/0ex/tOAJBqr4WUkab2AMvmFumR0fAoIraavxY0K0J2xDZzDhbkZSZaPn8Ul92caSiR\nrmU7oIZtWtie7nopEAgmjlGrjW9+85v09fVRUlLC5Zdfzk033cSll14qRO0kJadf+SARW82S4DDa\nhxWf2XYEk1GmIt2ooaOfb25JrXoudHm28N1dP+K5Yy+c+QcQTFl6Il62nHwLgKS3FFJG3A4RsZ2J\nlNozwlZrX6qRUlL6NcJtzqM0uQiAlk618Y9WZ3Q0VoRgJFfYxoZIHsvPEraaz1arjNAX8xNLxnQb\nAoDRrOYNmGQjJnnUcSGBQHAOGLWwfeqpp+joGDqzVTC5cDsyYtZls+rLcJq3Vuvf7jhNRQSNIndG\n2FaV5ulRmPZQB8lUJlFsSU0BksOHwa0u5b3WsmVU0RbB9OBPx18ioSQBicTJeZiNMjaLKIA+E7Gb\nbLjMagOGU/2E7e7OfbQE1MY+11ZfgduejtBG1WvKWVsRLP2Sx4wDk8cgW9hm7FPdEW9OxFYyqfsV\n/lqBYPIyamH74IMP8o1vfIOjR4+Ox3gEY0xeVrJOUb5N99EG4yGa/a3s6NgDwGxnxbD70po0ANTM\nyqPGrZZuiiSjbG3bpj9X4rHhqGrSf48mY7zZllWUUjDtaQ918tapdwEoTtWhRJy4nWYkSRpmS8F0\nRfPZtgdzV3h2pO0q+RY3F5dfiNmkTn6icVXYahHb0VkRMk0dVI/t4MljVrNRn2zpJb+sWSW/wt16\nRQSH1Ug8FU2PSQhbgWCyMuq1lF/96ld4vV7e9773YbFYcDpzvVKSJLF58+YxG6Dg7HBlWRGK8214\nTXZ6Il788QC/PPgUKSWFWTZxY+01w+4r24pQXeZicWEJFc5ZnAy08Xzjy1xUdj4mg4nuiJeksy1n\n2780b2FD5VrhtZ0h/OHYn0kpKYySAbd/MRAWNoQZTpmjlMO+YzlWBEVROOw9BsCSwgUYZSMWk3qN\n0IWtSb3uRBJRUkpqRNeQoSK2siRjlHJXDTx5VsLRIN6AJmwzLYC7w166etUW0EVumx41tgt/rUAw\naRm1sF24cOF4jEMwTmSX/CpyW4mnI7a7OveSSKkX/xtqr9ZbSZ6OOaV5SIAkwfyqfGRJ5sbaa/iP\nPf+DL9rL5pNvcnnVel5t3gySgqJIJJrrMVUdpDvSQ0PXfpYXLxmXzymYPLT4W/WksUsqLuJQswkI\n6+1LBTMTLWLbE/ERS8YwG8y0hzrwx1UvbV1+LQCWdMQ2pkdsVWGroBBJRLGbho+WasLWbJQxGWVd\n2FoMA1cNPE4zrV1BfOmIrclgwm120RvroyvSTXefOiErdFt1n69IHBMIJi+jFrYPP/zweIxDME7k\nZTVpKM630WdUa9VqorbCOYvLKi8Z0b5KC+x89q7zcLtslBbYSCRSLClcSLWrisa+Jl448SorS5bp\ntoRUTxmJ9jk4q1qIEuTV5jeEsJ0BaIlAZtnENdWXs+1ltWNUvojYzmjK0glkamvdLmbnlXMoHa0F\nmOdRhW1/K0J2dDScCI9K2Nqt6i1OsyJk2xA08vs1aQDVZ9sb66M77KW7V7UmFLqsnNQjtsKKIBBM\nVs54XXjXrl384he/4NFHH8Xn8wGIpLJJSHZB/OJ8W053MQmJDyy4FYM88oSexTUFLJ1XlNmHJHFT\n7bWAWjrsuzt/pGcgVxmWgSITbq0E4LDvGM3+1rP6PILJzclAG3u7DwBw2ex15Jmc+ALq+SAitjOb\n7JJf7cF2AA771FyNEnsR+RZ1yV+L2EZjuRFbgNAIE8g0j63dqk7ssyO2/enffQwylRE6w936+Vvk\nturvbxMRW4Fg0jJqYev3+7n77ru58847+epXv8oPf/hD/H4/R48e5frrr+fgwYPjMU7BGVJb7sZh\nNeJ2mqkuy8vpLrauYg3Vrqqzfo/5BfOo98wDoCPdXneuu4a7Lr4QCYieqkBS1JvVX5rfOOv3E0xe\nsrvQrS2/kFA0QSKpdoASwnZmk29x61VZToU6c/y1dflz9ddZzGkrQrpzWLawHWkC2YCIbeI0wjbd\npCEUTehR4kwt225AbUpT6Lbq7y+SxwSCycuohe0jjzxCU1MT3/ve99i+fTtWqzpzramp4fLLL+df\n//Vfx3yQgjPHaTPxyAMX842PrMFmMVLrrgbUzN+b5g6fMDZSbuqXfHZF1XrmlOVx6coKSJiJd84C\nYHv7TnqjfQAEI3G9o49gepAtPBwmhx7tgkyXJ8HMRJIkytI+21Ohjhx/bX3aXwuqLxYgnkiRSikD\nrAgjQatja7eowjaWtiKYB43YZvbv61fLNp6Kg1G9RhVlCVthRRAIJi+j9ti+/PLLfOMb3+CSS3J9\nmbIsc8899/ChD31ozAYnGBus5sxhXlBQx+cv/DQeq3tMow417jksLVpEQ9d+SuxFLC1Skww3rq9l\n24F2Qu1zMJa0kFCSPLrjhyxSrubFLV6MBol/+eianOoNgqmLljUuSzIWg5neQKZlc7YtRjAzKbWX\n0OQ/SXuwY1B/LWSsCKD6bM/MitDfY6tFbAdOrrJr2fb4o5QW2CnMqmUrWUIoCTPuPCPxdG6CSB4T\nCCYvo47YhkIh5syZM+hzdrudaDQ66HOCyUO5s2xcltI+vPAO/mrudXxs2T16SR6nzcTGS+eihPOI\nt1UD0BHu5NXAr0nZu4jEkjS2+cd8LIKJQRO2NoMVSZLozYrYukXEdsaj+Ww7wl0c8h4BoMSW8ddC\nxooAamUEq9GChFrJIJzulDgcoYgaZXVYhvfY5vdrqwu5TRpkSwir2YBkyCohJoStQDBpGbWwnTNn\nDi+8MHiL1Ndff52qqrP3bAqmJnaTjavnXEZJerlR49Ll5VSVOkk0zyd2YgGKApIxjnn+NgyFJ/H6\nR95RSDC50YStFtHq8WsRXCmnQodgZqK11k2kEjSkkwzrsqK1kKmKAGrEVpZkrMa0D3akEdu0FcE2\ngqoIeXYTBlkVzlotW5c5D2O6Za5kCas2hGTmvW0jqMwgEAgmhlFbEW6++Wa989jatWtRFIXXX3+d\n5uZmfvnLX/LZz352PMYpmMLIssRdV9Xz8M93kGyvRo45sdTtJinHMdU20Ny3EBi+85lg8hPplzXe\ncFRtq1xR7EAWXcdmPNmVEbSSg9mJY9DfipBJIAsnIiPy2KYURbciOPpZEQbz2MqSRL7TQndfRK+M\nIEsyhdYC2kMdSJYwhXZrznuL5DGBYPIyamF79913EwqF+MlPfsIzzzwDwFe/+lVcLhcf//jHueuu\nu8Z8kIKpT11lPndft4Bjrb1cc+FqkuZLePidf0OSFBojh4BVEz1EwRgQzhK2Xb1hDrX0ArB6UelE\nDkswSSi2FSJLMiklpT/WP2Lb32ML2W11h4/YRmNJFLWQQVby2NBWBFB9ttnCFqDQ5lGFrTWkCtt4\nVsRWWBEEgknLqIUtwAMPPMD999/P0aNHCQQCuN1uampqMBhGXg9VMPNYv7yc9cvL0785sMVLCJvb\n6eL4hI5LMHZkl0N650CmrvWFC0uG2kQwgzDKRopsBXSE1LKA/f21AGZTxiEX05s0qBHS0Agitjnt\ndEdgRYDBmzQUWlSfrWzzk+8yEk5mEiGFsBUIJi9nJGwBjEYj8+fPH8uxCGYYxdTSRDtxYy/toU69\n5aZg6pIdsX1rn1qEv67STZFbLN0KVErtJbqw7R+thcEjtpqwHYkVIRjJlBC0W02klBSxlPrYkBHb\ndGKjL5ARtrNtNcCbSKY4J6TteOLVmf0KK4JAMGkZtbDt7OzkW9/6Frt37yYYDKJoaz5pJEli8+bN\nYzZAwfRljm0eJxJvIkmwu2MvV1dfNtFDEpwlmrBNxA20dKo1Si8SNgRBFmX2EhrYD8C8/JEJW5su\nbIe3IoSjWRFbi1G3IcDQEVut5FdvIEYylcIgyxRSRdJbjMHTyYHgDiw96n4MkgGTLBIhBYLJyqiF\n7UMPPcS2bdtYvXo1BQUFSCIhRHCGlLkLSJ3Ix5DnY0dHgxC20wAtotbdo4oLgyyxaoGwIQgylDvL\nALWld71n7oDns4VtTEseM6lL/6H4SCK2GWHrsBr1xDEAi2FwQaoJ25Si0BeMpz23UWKNi7G6NoMh\nyc7OBnUsRqu47wkEk5hRC9t33nmH73znO1x55ZXjMR7BDKIgz0LKW4ohz0dzoIWeiJeCdCtLwdRD\nURQiaS9ja7v6/+KaAvJE8w1BFitLltHY10y5o3SAvxbAlOWxjcZGH7Ht77ENZHljh4vYguqz9eRZ\naOsOQdyKcnIBUtU+/XnhrxUIJjejrmPrcDior68fj7EIZhiePCvJnswy9e7Ofad5tWCyE03G9Gx3\nreGYqIYg6I9JNvL++r/ikoqLBn1eliQ9gay/xzaSjORUVBgMrTmDBFgt/SO2g0+y8vsJ21g8yeY9\nrQDMtS5lrrtGf16U+hIIJjejFra33XYbL7744niMRTDD8ORZUGJ2UkEXALvSS32CqUkkq4C9kjBh\nNsqsrCuawBEJpipmo2pHiCVyy31BplbyUGg1bG0WI7Ik6RUR4DQRW2dG8PoCUd5oaMMfUgXydaur\nuWvBrXrDBpE4JhBMbkZkRfjtb3+r/1xdXc1Pf/pT9u7dy/Lly7HZBn7J77jjjrEboWDa4rAaMRtl\nkj2lyI4+jvoa6Yv5cZnzJnpogjMgx/+YNLKirgir+YwLrwhmMBaTgUA4TjSWadCgEUpEsJvsQ26r\nWRHs/ZozwOANGgBMRgNOm4lAOE5Xb5h3D3YCUFXqZFG1B0mSuHP+Rv54/KUhI80CgWByMKK7zj/8\nwz8MeOzQoUP86U9/GvC4JElC2ApGhCRJePIsdHhLMc0+jILCns594sYxRcmJ2CaNXLSobAJHI5jK\nWMxqxDZjRchEbIcr+RUcIGyzI7ZD+709eRYC4ThbGk4RCKvR2usvmqMnil00axUXzRKNZASCyc6I\nhO3LL7883uMQzFA8eRbavU7MCRcxYx+7OvcKYTtFCcYygiPfZmdJbcEEjkYwlbGkPbaxfuW+YHhh\nq5X76t91DIa2IoB6LWruCOiitiTfxqr5oqKHQDDVGJHHtqKiQv/3zDPPUFBQkPOY9i+VSvH444+P\n95gF0wgtG9kQUDuSHfQeGVHms2DysbuxTf/5ugvmYTSM2sIvEACZkl/969iCakU4HVqDBodVLe01\nkuQxgHxnrui9dnUVsizKegkEU41R33kee+wxwuHBZ8zt7e088cQTZz0owczBk6cuMUa7CwFIKSmO\n+I5N5JAEZ0A8kWT74Vb993WLqiZwNIKpjrmfsLWbsqwIw9Sy1ZPH+lkRjLIRgzx02/eCrMoILoeZ\ntUuFlUYgmIqMOLPj8ssvR5IkFEXh1ltvRZZzNbGiKHR1dVFWJi4GgpGjRWyD3Q7y6y1Ek1EOeo+w\ntGjRBI9MMBpe3dlKKB7BBMgYsJhE7VrBmdNf2FoMFiQkFJRhrQh68pglN3nMIp/+nMwu+XXVqkpM\nxqFFsEAgmLyMWNg+/PDD7Nixg3/7t39j0aJFWCwDvUoul4tNmzaN6QAF05tMlERmjmMOh/oOcbDn\nyISOSTA6wtEEv9/aCIXqEnB2dE0gOBMyHlu1KoIsyViNVsKJ8LBWBE3YOqy5HtuhKiJoLJzjwWiQ\nKcizcNnKyrMav0AgmDhGLGxXr17N6tWraWpq4vOf/zxOp3M8xyWYIXhcmQlSmbmKQxyiNXiK3qgf\nt0WU/ZoK/HlbM4FwHJMhHSkTdT4FZ0l/jy2olRHCifBpI7aJZCpjX9A9tqoVwWIcOnEMoDjfxqOf\nvARJUmvgCgSCqcmIPLaxWMZ8//DDDw8paqPRaE7NW4FgODSPLYBLqdB/PuQVUdupQDyR5IV3mgDI\nd6uXE6toOSo4SwYTtiNpq6v5a2FgHdvTJY5lbyNErUAwtRmRsF2+fDnd3d05jz366KP09vbmPOb3\n+3nooYfGbnSCaU+e3YQhnXmcCjlwp5szvOc9PJHDEoyQ7r4okZgqPjz5qhixCWErOEs0YRvLEbbq\neRVKhIbcLhzJEraW3OSx05X6EggE04cRCVtFUQY89vjjj9PX1zfmAxLMLOR0kwYAnz9GvacOgIM9\nRwY97wSTC38os5qTlNSfbcKKIDhL9OSxWEq/DmgWl1B86IhtMEvY6uW+ElrE1jQuYxUIBJOLMy40\nKUSHYKzQhG2PP8KCgnkAeKM+OsNdEzkswQgIhOL6zwlFE7YiYis4O7TksZSikEiq95qMFWFoj20o\nmjkf9XJfKU3YioitQDATEBXUBROOJmy9/ijzPfP0x98T1REmPf5wRkjEUuqSrxC2grNFi9gCxBLp\nJg3pahun9dgOakUYucdWIBBMfSaNsG1tbeUTn/gEq1ev5pJLLuGhhx7C7/fzzjvvsGDBApYvX87y\n5ctZtmwZy5cv54UXXtC3ffzxx7n22mtZtWoVd911F/v27ZvATyIYLQXpBDKvP4rHmk+pvRhQu5AJ\nJjeaFcFokIgkVcEhkscEZ4slS9hG0x5u+0gitjlWhLSwTQiPrUAwk5g0wvajH/0obreb1157jaee\neorDhw/zzW9+E1Bb+u7evZvdu3ezZ88edu/ezTXXXAPAK6+8wmOPPcYjjzzC1q1b2bBhAx/5yEeI\nRERb1qmCFrHtC8ZIJFPMT/ts93cdxus/fTF2wcTiT1sRnHYTkXSSjij3JThbLOYsYduvrW4kGSWZ\nSg66nVYVwWiQMBnTtXBHWMdWIBBMD0YkbCVJQpLGr2e23+9n6dKl/N//+3+xWq2UlpZyyy23sG3b\ntmG3/fWvf83GjRtZunQpZrOZe++9F0mSeOWVV8ZtvIKxRRO2CtAbiOk+25gS4ft/2jKBIxMMRyBt\nRXA4Mo+JiK3gbMmO2GpNGrInTNokqj+nutWKCQ6rSb9nZTy2QtgKBDOBERXsUxSFG2+8MUfcRiIR\n7rjjjpzWumeaUJaXl8fXv/71nMdaW1spLS0FIBAI8IlPfILt27djsVi45557uPvuuwHYu3cvN9xw\ng76dJEksXLiQhoYGrr/++jMaj+Dc4slqZen1RylxVqIoIEnQHG6kLxjD5RA3pcmIFrG126En/Zjw\n2ArOlhwrgh6xzZxXf3j7MBvXLMVoyNx/unrDvLnvFACLawoASKaSJFJqFFdYEQSCmcGIhO0tt9wy\n3uPIoaGhgSeeeIJ///d/x+l0Mn/+fO6++24effRR3n77bT71qU/hcrnYuHEjPp8Pl8uVs73b7cbn\n8434/WRZQpbHLyI9nTCkbyQGw9i5WIo9mUhMbyjG7qN9KEE3krMX2dXNe01eLl46a8zeTzCQMz2u\nwYgmbDOT2jyLHaNx0ricZjTj8X09F2gVDQASqRRGo4zTYtcfe2HHMSy4uHXDXP2xP7x5gmRKQZYk\nbllfi9EoE4tnIrt2k2XKnpdT9TgKTo84ruPDiITtww8/PN7j0Hn33Xd54IEH+MxnPsNFF10EqMlh\nGmvXrmXTpk08/fTTbNy4cUzes6DAMa5Wi+mIyzV2PkqXy4YsQUqBLn+UV3acJFlUiOzsRc7rYV9L\nFzesnzf8jgRnzWiPayCdrON0yZDO2ynxePB4HKfZSnCuGcvv67kgkeWSM5pNeDwOyqQC/THJkOC5\nrY2sP3829VUeWrsCbN7TBsAVF8xmwVw1ATWVVWe5wO2a8uflVDuOgpEhjuvYMql6B77yyit89rOf\n5R//8R+56aabhnxdRUUFf/7znwEoKCjA6/XmPO/z+aivrx/x+/b0BEXEdoQYDDIul42+vjDJZGrM\n9ut2WvD6o/zu9aOEo0nk3mKoOIYkK+w4cYDuniXIU2zyoSgKj+/7NcF4iPuWfRDTJC4Qf6bHtS+Q\njohJWfVswwpeb3Cshyg4A8br+zreRLLKyHm9IbzeIDnFEIxxUimFb/18O1+9dzWP//EAqZSCQZa4\n9sLZ+vnXEcys3MUjU/e8nKrHUXB6xHEdPSOZnE4aYbtjxw4eeughvve977FmzRr98eeffx6v18ud\nd96pP3b06FFmz54NwJIlS9i3bx8333wzAKlUiv3793P77beP+L1TKYVUSjScGA3JZIpEYuy+iJ48\nVdiGo6qfrq5gDqekXcSUKDHrKY6d7KW6zDXMXiYXrYFTbG1VEyB3nNrL+aXLJ3hEwzOa4xpPJPV2\nugZTHNJaxIRlTM8Nwdkz1t/X8caQNYkNRRMkEilMUsYjKxnU5YG27hD//tu97DjUCcC65eV4nJnz\nLxTNVMcxYppSf4PBmGrHUTAyxHEdWyaFsSOZTPLFL36Rz3zmMzmiFsBkMvHNb36TrVu3kkgk2LJl\nC08//bQudO+8806effZZdu/eTSQS4Qc/+AEWi4UNGzZMwCcRnCnZCWQAN6ypYUGBWvZLdnfScLR7\nIoZ1VviivfrPzf6TEziS8cGf1XVMNmXKL4nkMcHZYjRI+gqNVsdWrWqgPiYZ4yypVa0J7x7sRFHA\naJB535o5OfuJZlVPEMljAsHMYFJEbHfu3MmxY8f42te+xle/+lUkSUJRFCRJ4vnnn+dzn/scX/nK\nVzh16hRFRUV84Qtf4MorrwRg3bp1fPrTn+bv/u7v6Onp4f+3d+fxUdX3/vhfZ/bJTGayAEmAAGEN\nSxJABFNUEL2WiqjQa8FqW1vtVanWXku5tT/pVWvb20sf1nu1aq1VS8vPW3BH64YgoiCCIjuCgCEL\nCWSZSWYy+3y+f5w5Z85kI8AkmUlez8fDh8ls5ySTIa+85/15f0pKSvDUU0/BZOIq+nSiDbYj8uyY\nPCoHzScnYk/DPugsPnx+ogILZxf14Rl2LBwNo7KlGiMyh0Ov0ydc5wo0qx/3x2Dr0bxdrFTQTDpj\nu+8D0dmSJAlmkw6+QATB2FQEnaSDASaEEYDRHMX3vzERv/zLdnhjfd5zpw5FjiPxjypl1zGA476I\nBoqUCLYzZszAwYMHO73++uuv77K1YOnSpVi6dGlPnBr1EmX3MQC46qKRkCQJk3LjfdJVgeNo9V+M\nDEtK/Miq1h5+FR/VbMf8UZdj4eivJ1zn1gTbEy1V6h9r/YW2Yit08ses1lKymAx6+AIRddwXAOiF\nCWEpAJM5guxMM268cjyeeu0ArGYDFrSp1gKs2BINRKmVEmjAmjZ+ENZvPY5R+Q7MmDAEAJBldmKw\nOQ+nA3WQHKdxsKIJF0wY3MdnmqjKUwMAOOo63u46dzAebFvDPjT6m5BrzWl3u3TV4otXw6KSEmy5\nupeSQ5llqw22UtQI6AF9rPXlokn5yM/JgM1ihNPePrgGIvE/vswpvHiTiJKHwZZSQl52Bh79yaWA\nQMKEirK8idhwog46RyP2HK9LuWAbiv3ibNL00yq0FVsAONFS3b+CraZiG4YcclmxpWQxxYKtsvMY\nACBiAPSAzhhWL+pqUam2YsstdYkGhpRYPEYEADqp/UYZU3InAAAkXRR76w6ru9t91XwCH1Z/3Ome\n8b0lGJXDnSvgbrfznqtN2D3RUtVr59UbPLFga7MY4I/Iq8+5nS4li9kk/3rSVmyjoVgtRh/u6C7t\nKD22Jp0ROom/7ogGAlZsKaWNdo6CQTIhLILwGmtwsqEVJyNH8NyB/0NURGHUGTGr4II+O79Q7Bdn\nOBqGJ+RFpsmuXte2YtvRAjJf2A+z3pSWv3RbYovH7FYjfGE52LJiS8nSUStCJBZslZ7uM1Eqtuyv\nJRo40u+3KQ0oep0e47PkbTN1WfV48/A2PLv/eUSF/PZkpadvpw0oFVsAaPTHNwqJiiiagy0AAINO\n/mVc2VKdUNX9/PQ+LP/gl3hu//O9dLbJ5Ynt6pSZYdIEW/bYUnKY1VaEeLANB+XLopIcWE+1nsYD\n2/4bj+76M4KR9mFXrdiyDYFowGCwpZQ3dcgkAIDO0orPfO9AIB4O6319O99W+8tU22fbEvSo5zk+\nWw7mnpAXTYH4TkjvVGwCAHx6ajeOu0/0xukmldJja7ca4Y9tC8WKLSWLqU3FNhSOqsE2jCCiIorV\nB9bilK8eh5qO4JWj/2z3GMFYsOWoL6KBg8GWUt6kWJ8tAEAC7EYbRjvl0T71vsY+OisgEo0gIuLV\npCZ/PLRq+2tLciepHyvtCHXeU6horlQv33Bic0+eao9Q5thmZhjRylYESjKzUemxld+d8fhCEBH5\n3Y8wQthwYjOON1eot99c9RH21SeOjWQrAtHAw2BLKS/bkoUMIU8TkMJm3D3tNkzMkWfc1vsa2y3a\n6i2haOJbn9pqrLa/dkL2GJh08qihE7Fg+0ndroT77j69D6daT/fUqfaIllgrQoZVr34v2IpAyaJW\nbGM7j3l9ISAcH9m1/tjbAIBC+1A4TJkAgL8dXAt3QG4BcgeacdJbB4AVW6KBhMGW0kKZ6XKETo5C\n5ItyFNjyMMiaC0AOl0ova28Ltgm2Ln+8SqudYZttycLwzKEA5IptVESxo/YzAMCIzGHQS3oICGw4\n8UEvnHVyRIWAxyevTLdY439YsGJLyaL22IZjwdYfgojEg21URGGQ9PjupKX47sQlAOR2n78d/Afe\nr/oID378ezXYDupHY/aIqGsMtpQWRjiGIVxZjIDXAn8wogZbADhBFaO9AAAgAElEQVTdR322bRer\naCu2yna6VoMVJr0JhZnDAMgjv465K9AQW2h2WeEluDB/GgBge+2narUp1bX6w4jGKuVmS3zOKIMt\nJUvbqQgeXwgIJw7yuaroXzDUno+JueNxeeGlAICDjYex7vCr8Ef8kCDh4mEXYdHYBb178kTUZxhs\nKS1k2eNvJbo8AQzWBNuGPuqzDWr2oQeAJm3FNhZsnWZ5eHxh5nAA8qKydyveByCv1C4bPAVXjJgD\nQB4Ztrnqo54+7aRQ+msBwGiK9xlb9Ay2lBxmzQYN8jsEiRXbkZmF6msHABaOmY9C+1D180L7UCyf\n8SPcMGEx5ysTDSAMtpQWnLb44g+XJwi70aaO8Omrim3bHlt3sFkdQ6YE2yyTHGxHxCq2ALCvQV7g\nMm1wCcx6EwpseSgZNBEA8EH1NvhjC7FSmdJfC8S3NwWADCN7bCk5TMb4r6dQKCoHW78NwmeH0+TA\ndyZ9C3qdXr2NUWfAv5V+D+UFF2LJ+EX42Yy7MMoxoi9OnYj6EIMtpYWszHiwdXsCkCRJrdr21WSE\ntq0IURFVA63SY6tUbPMzhsCoS3wbdWb+dPXjK0bMBQD4wj5srNzSU6ecNB7Ndro6Iyu2lHxKxRaQ\n2xG8/jAgdDAdvwwPlP8HCmx57e6TY8nGTROvx6XDyxNCLxENHAy2lBYyM4zQSfJ2uy6PXC0cZJEX\nhPTVLNu2i8eA+CxbZdyXEmz1Oj2Gad4mdZoc6nxbABjjHKWOMHvj+LvYXLW1x847GVo0rQjaXaDY\nY0vJ0jbYquPlrCYY9cbO7kZEAxyDLaUFnSTBGeuzdXnk2ZSD1IptH7UitOmxBeRZtqFoGN5QK4B4\nsAUS2xFm5E9N2EZXkiR8Z+K34Iy1Lqw9/Ao2VX7YU6d+3pRWBINeQgTy8yFBgsXAeaGUHCZTPNgG\nQxF53BcAm4Whlog6x2BLaSOrXbCVK7YtIQ/84UCvnEN1vRernt+FbftqO6nYutCsmWGbZXaqH490\nFKofz8q/oN19h2QMxk+m367e54Ujr2Fjio4AU3Ydy8wwwacZgq8N60TnI7FiG1UrtnYrgy0RdY6/\nhShtKAvI1FYE7WQEf+/02X7weQ0OVjTh5S3HENL02NqMGfK5+d0JM2yVCiwAzMibikuHleOb4xZi\nmL2gw8cfkjEI/z79dmSbswAAL375ervdlFKBNmT4uesY9YAOe2wB2K2Gzu5CRMRgS+lDWUDmblOx\nBXqvHaHFJ4fq5tZgQsV2iHUQALli60qo2MaDrUFnwJIJizCv8JIujzHImot/n347MmK7eO1vOJS0\n80+WeMXWiNawDwCDLSWXdiqCtsfWxootEXWBwZbSRpZNaUUIQgiBHEs2JMgLynpr5FdrrGoUDEXh\nC8kB26gzItsiV1ib/G51MoIESd3q82zlWnPUUUXK7kmpxBML+KzYUk/RVmy1PbZ29tgSURcYbClt\nKBXbQCgCfzACg86AnFig7K1NGrz+eJXWE5ADnUlvVFsHmgIuNdjaTbbzGjmUbxsCIDWDbUKPLYMt\n9QBtsHV7gohE5Z3uWLEloq4w2FLaaLv7GADkxvpstRXbYCiC/3/DYXy092TSz0Gp2AJAa1A+B5PO\npFZsW4Ie1Mf6fbM0/bXnosCWDwDwhLxoCXrO67GSrUUdvWSEL9aKwN2dKJm0wbahOb5pCRePEVFX\nGGwpbbTdfQwABsf6bLUV288On8aGnVV47s1D8AXCSKaEYKu0IugNyI5NMhAQONFcKZ+v+XyD7RD1\n41Sq2obCEQSC8qYMmRlGTcWWu45R8uh0Egx6+VdUY0t86gmDLRF1hcGW0kbb3ccAYJBFrtg2+JvU\n7WyV6k4kKlDvTu72tF5NsPWH5HCtrdgq5wK0D7a+QBiPrNuNv7/zBaKxt1W7kq/ZWak2hYLtscaT\n0A85ARj9sLMVgXqQObaArElTsbVZOBWBiDrHfyEobSi7j0WFiI/8ypCDbURE0OR3I9earfZ/AkC9\n24fCIfakHD8UjiAciaqfK7NzTXojssxZ7W7v1MywBYCt+2qx56jcMmG3GnHdJaO7PJ7VYEGW2QlX\nwJ0yFdtQNIxnDj0L06gWiBGHsNvbymBLPcZk1MPrD7MVgYi6jRVbShsd7j5maT/yy6PZ7rXelbyK\nrbZaCwCBsHwck86ETJMNeilxoVjbHtvDlS714/UffYV9x888yaEgVrVNlWC7s+5zeMItAABJF8Uu\n9yeICLktgcGWkk3ps3V74rv8cfEYEXWFwZbSitPW8ba6AFDvl4OitmJ72u1L2rHbBltlgwaj3gCd\npEvYZQxIbEUQQuBwVTzYCgBPvXYATS1d75jWW8FWiDO3RgghsKlyCwAg6s9ApDEv4foMQ0aPnBsN\nXEqwVX46LSa92ndLRNQR/gtBaSXLnrj7WIbRqm5kUB9bQKbMWAWAhiT22Lb6E7fQDYl4xRaAuoBM\noQ22p1w+ter0tSn5kCBXlp94dV9Ce0NbSrDtyckIza1B/Ozxrfj/nvioy3M53HQU1R550kT45CgE\nv5yG5dPvwtTBJZiYMx6Tcsf3yPnRwGU2Jv6KsnGGLRGdAYMtpZW2u48B8aqt0oqQULFNYitCa5uK\nbTiqVGzlX7aZxsTWA20FV9uGcN0lRVjwtVEAgC+r3Hhq/QHUNbV2eMzeWEC2/3gjTjX5sOfLeuw6\nfLrT222s/AAAYIAZkYZhsFkMKMoqxA9LvoM7p97KqQiUdCZTYnsP+2uJ6EwYbCmttN19DIhvrasG\nW02PbUOzr1tvs3dH22Abgfy5UrG1SvFFaiIqodUrqZ8fqXQDAHIdZgxyWnHdxUUoHiEvONt56BR+\n8aeP8fjLe3H8ZHw7XqDtyK9TSfk62mrULMx5f1cNApEgNlV+iGPurwAAW/bU4O4n38S+2Na+QyLF\nQFTPkEE9TjvLFgDsVq53JqKu8V8JSittdx+zmg2aim1jwoxVAPAFIvD6w0kJYd42rQhqsI1VbI3C\npl4nQmbsPdqIvBnyZUrFdlyhHGZ1OgnLFpXgHxuP4OP9dYhEBXZ+cRo7vziNG64Yh3+ZUQhAng3b\n05MRGprj1e99xxrwztEP8VbVWwCAiwvK8dGmLISGfCn/YyF0MLtHA/AhM8PU4eMRJYvJkBhsuXCM\niM6EFVtKK8riMUC7gEyu2LaGfTjV3NzuPsnqs21bsRWSHKCNOvmXrRTWvBUfMmN3bLRXU0sAp1zy\nIrbxw+NjwexWI25ZMAm/u70cV15YqFanPj2UWJlV+mx7qhVBW7EVAPbWVKiff3hyGyJjP4B+UA0A\nINyQjwNf+tTzJ+pJZrYiENFZYrCltKIsHgO0u4/FJyNUutu/XX/alZzJCK1tdzHTycFWqdhG/fFx\nVyJowRcnmuALhHFEMw1Bqdhq5TgsWHr5OMyZOhQAUNuUeL75sXaEnqvYJgb/k255gwld7J8HndUL\nSS9/reHakertMjMYMqhncfEYEZ0tBltKK1n2eMVWWUCWY8lWLzvlbWx3n2TtPpbYiiAg6eQJAkqP\nbcgfPzcRMiMcETjwVaPahmC3GjE0t/ORWPk58nXN3mBCdVip2LaEPPAEvUn5WrSUiu3I/EwAQFiS\nF7Ll6UcjeHwyRESumo3LGo0FU8vU++U6OLeWelb7HlsGWyLqGntsKa1kZpja7T7m1GyE0OhzAZCr\numaTHoFgBPVJmmWrhE29TlL7a4F4xdbrkSDMJkjGIEyRTIQAfP5lPSpq5Q0Nxg13QpKkdo+ryMuJ\nh966plYUFchfV4FmMsJJbx3GmbresexsvyZfQK7GXjW7CGveOoSgSf6DobY2isjpQoyyFaH8a8D0\nvDJkmZ0oKsjEwYomzJ02LGnnQdQRBlsiOlus2FJa0ena7z5m1BthM8qh0BWI99iOiG2lm7yKrRxm\nc50WQBef96r02Lo9QQSPliGndQpKsqcCAD4/Uo/q03KVdXwHbQha+dpg2xgf/5WfoRn51ZrcdoTG\nlvj3Jj/Xhtkl+YBB/oMh6JO/rsXlJZg34lJ1fNm0cYPx7SvGw2Hj4jHqWSYjF48R0dlhsKW003b3\nMSA+M7YlJFdHbRYD8rLloJisYKtUbPOyMyDp4pMXlIqt2xtEtDkXY/QX4oKxBQDkMKwMGztTsM2y\nm9QKVa0m2GYYrWpVOtl9ttqFY4OzrJgxxQlJJ5+xCJkxvjBLHUtG1NtMbXtsOe6LiM6AwZbSTtvd\nx4D4Ll+tETnY2jNMGJQl94DWu5Mzy7Y1IPfYDsmyqgvHgHiPrXI+DpsZk0blwKCPtx2YTXqMyLOj\nK5IkIS9HnqxQ12YBWXxr3eTOstWO+hqcZYXFFv+6RNCMa2eP6rJ9gqgnsRWBiM4Wgy2lHWUBmXb3\nsSyTXLH1C/lt/8wMIwY55WAbDEUTdiM7V0orQmaGERbNuimj3ohgKAJfbGpClt0Eq9mACSPii9rG\nDnVArzvzy01pR9BWbAFtsK09r6+hLaVia7caYTEb4Na0ckwuLEDxyOzO7krU4xhsiehsMdhS2umo\nYpsVq9iGYiv6M61GDHLG58qePs8FZJFoVN34IcNigNUar2Ka9Ea4vZrqsU0+v7Ix8TFkZ2pDUCjt\nE3WNrQlVZnUyQtADTyh5kxGUUV+5sT8CtMH2h/Ons1pLfUobbCUJsJrZikBEXWOwpbSjLB4LaKuk\nsR5boQsDunBCxRYA6l3n12erHb9lsxhhMWuCrc4ItzZkx85v2rjBajvClNHxkNsVpWLrD0bQrAnL\n+ZrJCDWek+fwFXSsMdZ/rIzuUoKtUWeAzWjt9H5EvUG7QYPNYoSOf2gR0Rnwz19KO4mbNARgNRvU\nHlsAkEx+2K0mZGWa5dFcUXHeI7+0wTbDYkhsRdCZEhayKcE712nBf9w4Hf5ARB3ddSbakV+1ja1w\nxr7WYfYCGHVGhKIh7KzbjfHZY8/ny1EpPbZtK7YOk4PVWupz2qkInIhARN3Bii2lnY52H1MqtoAc\nbDMz5OqOEtjOdzKCt02wNcVPodNWBAAYM9SJyUU53T6OsngMSFxAZjGYMX1IKQBgZ90u+MOBdvc9\nW9GoQFNLLNiqFVt58Z3TnHnej090vsyG+K8oOyciEFE3MNhS2ulo97HEYBtQF5kMTlKwVSYiAECG\nxQiTKd7/atLHK7Y2iwFGw7m/rGwWo7pVbdsFZF8bOhMAEIgEsevUnnM+hsLlCSAa6+NtW7HVbnpB\n1FdMmlYEO7fTJaJuYLCltJOZYYJeJ79Nrix+shkzoJfkX4KS0Y/MDDn8DsqSK6D1ruS1ItgsBhg1\nwdaoM6g9tk5NNflcKe0IdW2C7RjnKORlDAEAfFTzyXkfp1Ez6qttj63DzGBLfc/MVgQiOksMtpR2\ndDpJDazK2/WSJMGml98+l0wBteqpLCBraPar1clz4W0TbPWG2CYGUR1CYQGXVw6JziTsxpWf3fHI\nL0mS8LWhFwIAjjdXoMZzfqO/GjSbM+Q4zBBCwB2MtSKY2IpAfc9k0EHp9OaoLyLqDgZbSkv52bFg\nqwl/Vp0NQKzH1qoEW/l24YhImFxwtlr9ciuCQa+D0aCH3hDbUjeqh6c1pD62tk3iXCl9tqeafIhE\nownXzcq/QK1Mbzu547yOo8yw1eskZNnN8IZaEY7KAZ4VW0oFkiQhM/bHYk7m+b8bQkT9H4MtpaX8\n3PZv15sQC7ZGP+xtKrYAzmsygtKKYLPIC1h0eiXY6uDxhdTFY8loRVBGfkWiAg1teoMzTXaUDpoE\nANhe+ylC0XC7+3eXUrHNzjRDp5Pg8sVn2LJiS6ni5m8U44oLhmN2aUFfnwoRpQEGW0pLSh9qc2tI\nrabqI3KlUzIF1N48pWUBOL9ZtkorQkYs2EIvb9Ygonq4vUG0xIJtVhJaERJHfrUP47OHzpLPKdSK\nPaf3nfNxlB7bnFh/baPPpV7nZMWWUsTUsYPw7X8ZDxsXjxFRNzDYUlpS+lABTZ9tWA5okjGAqJAr\nqo4MI0yxKQXns/uYEp6VYCvp4q0INfVeKN27yajYDsmyqn2FbReQAcCEnLHIschb3W6tOfd2BHXX\nMUdsJzd/vGLrYMWWiIjSEIMtpaWEqmaDHP6igVjbgQQ0xxZBSUmaZetVWxHkqlEUsRaAqA7Vpz3q\n7ZKxeMxk1KtV1Nqm9sFWJ+lQXjADAHCo6QhcAfc5HUfpsVWO1eRzq49vM2Z0ej8iIqJUxWBLaSnL\nblLbDZTpASF/PFRqw16u0wxdZgNOuZtxrloDia0IYSFXcEVEj6p6r3o7ZxIWjwEd9xBrKZs1AMDh\npqNn/fi+QFgN68qorya//D1zmhzQSfyngYiI0g9/e1FakiRJnR5QF6tqBrzxHjxXIB5iw9lHYZ64\nA5WOdxGIhHAulFYEm1k+RlB5nFgrgiIrCa0IQLzVorNgm5cxRN1E4YvGL8/68Rtb4jNslYqtK1ax\ndXDXMSIiSlMMtpS2lOkBSsW2tSU+zF1bsW21VMkfWJvxwoG3zulYylQEa6xiG4rGKrZRPUJhud/W\nZNTBotkp6Xwoob2hOYBgKNLuekmSMCFnLADgi6YvIc5yRm+jZoat0mPb5OeuY0RElN4YbClt5as7\ndPkghIDHF4EIya0Ayg5awUgIjeE69T7bTn+EypaaszpOVAi1FUEZ9xWv2MZfQlk2MyRJanf/c5Gv\n6SE+1dTxorcJ2XKwbQq4cNpXf1aPn7g5Ayu2RETUPzDYUtpSFpAFQhGccvkQDEUhgrEV/rGKbUVz\nJSIiXvEUiOLvB9ciEm1fBe2MPxCBUhBVemyD0dhmD9F4hTZZ/bVA25FfHbcjKMEWkKu2Z0Op2GaY\nDbCa5a8p3mPLYEtEROmJwZbSlraq+WWVHMpEKFZ9jAXbo+7jAAAJEkKV4wEAVZ4avFPxfrePo/TX\nAvGpCErFViQE2+TtjJTrsMCgl1+e731a1WE7QrYlC0MyBgFo32cbFQJuT6DTFoUGtzLDVj5nf9gP\nfzi2LTBbEYiIKE0x2FLaysuOb75wRAm2sYqt0orwpUsOtkPMBQifLEKkRZ7/+uZXG1Djqe3WcZTp\nAYBc4QSAkGbxmCIZo74UOp2EOVOHAgC+qHThsZf2IhRuH24nZI8DABx2HVVn9wLA61u/wr8/9hHW\nb/2qw8dvakkc9eUOtKjXsRWBiIjSFYMtpa0MixGO2Na5R6uVYBuv2EaiERx3VwAAJg4aA4Nej9Dx\nKdBBj4iI4J2KTd06jtJfKx9TaUXooMc2ia0IALD08rG4sHgIAGDf8UY88cp+hCNyeBVCoNUfwvis\nMQDkXciqPSfV+27dJ4f2d3dUqvfRim/OoARb7Xa6rNgSEVF6MvT1CRCdj/ycDDS3ulEdG7mlBNtg\nNISj7uPwR+S318fnjMZXw4M4WBGFxTsCrbbjOOI6BiHEGRd8tW1FiIpowlQEhdOWvFYEANDrdPjh\nwkkIR6LYdaQen39Zj4dW74QECadcrfAFIhieb4I0QoKAwBdNX6Iwcxg8vpC64MzrD+PAV40oHTNI\nfdyoEJrtdBMr3AArtkRElL5YsaW0pl1kBQAIxcPlzrrd6sdjskZh0ii5DcFdZwcgV3Ub/U1nPEZC\nK4LFgHA0/rm2FSHZFVsAMOh1uP3aKSgdkwsAOFHnQUVdC3wBuS2hqjaIweY8APE+269OJm5Esf3A\nqYTPaxtaEYnKvbdqxVbZqQ0SMo32pH8dREREvSFlgm1NTQ3uvPNOzJo1CxdffDHuvfdeeDzyVqXb\ntm3D9ddfjwsuuAALFy7E+vXrE+67evVqzJ8/HzNmzMCNN96I/fv398WXQH0gv02wtUjxUPb56b3y\nbWx5sBttmDQqBwAQaclSb3PU/dUZj6HMsNVJEiwmfXzUF9BmKkJyK7YKo0GHHy2agtkl+SgqcGDm\nxCFYUD4Sulil2R4pAAB86TqGcDSMY22C7a4jpxP6c9/7VJ7rq9dJmDAiFvZjFdtMkx16XXJm8RIR\nEfW2lAm2t99+O5xOJzZv3owXX3wRR44cwe9+9zucPn0ay5Ytw7e//W1s27YNv/jFL7By5Uo1vG7c\nuBF//OMfsWrVKmzduhVz587FbbfdBr/ff4YjUn/QtmJrN8bfRveG5DFZY52jAAAj8zKRYTZABDJg\nFPLCs6OxxWVdaQ3IQTbDYoAkSWobAgAITY9tMsd9tWU06HHLgklY+b0ZuP3aKfjmnDEYkSeHeH+j\nHE6D0RC+aq7E8Ro5pJpjm0X4gxHsOdoIAGhuDeLDvXIv7syJecjOTGxFcJrZX0tEROkrJYJtS0sL\nSkpK8NOf/hQWiwV5eXlYtGgRduzYgfXr16OoqAiLFi2CyWRCeXk55s2bh3Xr1gEA1q5di8WLF6Ok\npAQmkwm33norJEnCxo0b+/irot7QNthmmjNg1CW2jo/JKgIgTxqYODIbgAR45eptdyq2SiuCunAs\nEoxfGavY6nUS7FZju/v2pPGFcuW55isTDJJ8Hocaj+B4rGL7tcn56qSGTw7Km1S8/1m1ulPa12cW\nqo+lTEVwsr+WiIjSWEoE28zMTPz6179GTk6OetnJkyeRl5eH/fv3Y/LkyQm3nzRpEvbuld9m3rdv\nHyZNmqReJ0kSJk6cqF5P/duQLCu0a78cGWY4zc6E24yNBVsAap+tt0EOcCe9dfCEvF0eQ2lFUEZ9\nBTUVW4tBDo4Om0ltDegtSrD1+YEC63AAwIaKzQgUbYZp7C64HLswbOIp6LJOYXf1MTS0ePDeZ3Ib\nwuSiHIzIi4dYVmyJiKg/SMmpCHv37sWaNWvw+OOP4+mnn0Z+fn7C9U6nE01N8qIfl8sFh8PR7nqX\ny9Xt4+l0EnS63g0l6Uof2zRA+X9fMxh0GOy04pRLngLgsJkQtjhR72sAENvEwJ6r3r5k7CDgncOI\nxubZAkBFywmUDUn840nLFxv3ZbcaYTDoEIFmMZnJglYAWXYzDIbe/Z5MHBX/GrLFCFSiAiERgs4W\nAmzNOOSrA3SAWd6XAv+5/WMErJOA1qFYUD4y4XyVYJttcfb610E9J9Ver3Ru+Dz2T3xee0bKBdtP\nP/0Uy5Ytw/Lly1FeXo6nn366092TkiUnx3bGkU+UyOGwnvlGvWR4fqYabAfnZMCQmYMjTccAAJOH\njEN2tk29bVZWBgZnW3G6KQqdMCAqhVHlr8bc7JmdPn4g9tZ9lsOC7GwbzAHNgrGMDNQjgiE5GQnH\n6Q3Z2TYU5tlRWeeB3jUGP54zDq/v3I3DtTUwWP3Izo2q2+QCgNCFYRy9B0Ocdlw8vVD9mQ+Gg2gN\ny9+/PGdur38d1PNS6fVK547PY//E5zW5UirYbty4EStWrMAvf/lLXHPNNQCA7OzsdtVXl8uF3Fy5\nCpeTk6NWb7XXjx8/vtvHbWz0smLbTXq9Dg6HFc3NPkQ6GPzfFwZlxqcRGHVAhhQPZiNshWhqSmw1\nKMjJwOkmH8yhQfCZarG/9jCaRnTejtDskWe+GvUSmpq8aHTHd+m6tGQY4Hdh3rSh7Y7TG8YOdaKy\nzoP9XzbitqsvwSuVrQhVDsb4ohz8x6LpCEVC+Numz/HBF4dhKtoHyRBC86Dt2PrlZEwaNAEAUN/a\noD6eWVj65OugnpGKr1c6e3we+yc+r2evO4WXlAm2n332Ge699148+uijKC8vVy+fMmUKXn755YTb\n7t27F2VlZer1+/fvx3XXXQcAiEajOHDgAK6//vpuHzsaFYhGe7Yq3N9EIlGEw6nxQhycFf9r12Y2\nQqfZOasoc1S788yM7VYGbw5gqsVX7kq0BgIw6Tte/OX1yT21FpMe4XAUvlBAva5sdB4uKR4LAH3y\n/Rg7zIlNu6rh9gZRdcqD47VyS8Go/EyEw1FI0GNO8Xi8/7EbgaAZluIdiOojePzz5/D9yTcgIqI4\n2HBYfbxMY2bKPK+UPKn0eqVzx+exf+Lzmlwp0dgRiUSwcuVKtf1A65prrkF1dTVeeOEFBINBbN68\nGVu2bMGSJUsAADfccANeffVV7N69G36/H48//jjMZjPmzp3bB18J9QXtLFt7hhGTc4thNVgxLms0\n8m1D2t1e2SEs4JIXmUVEBBXNlR0+thBC3VLXZpGDr3aOrUnXu5MQ2hpXGF8ot2lXNYIh+R/H0QXx\ncD8iz46iAgeENwuXOq+DQWdAKBrCU3tX4y/7/o6tJz9Rb5trjfftEhERpZuUqNju2rULx44dw0MP\nPYRf/epXkCRJ3er0rbfewpNPPomHHnoIDz74IIYNG4ZVq1Zh3LhxAIBLLrkE99xzD37yk5+gsbER\nJSUleOqpp2Ay9dxMUUoto4c6kJ1pRjgSxeihDtgsRvzXxSuhl/Qd9k4rI7BaG2zIKNIhiiiOur/C\nuOzR7W4bDEcRjsjVfHXcVzQ+7svYx8F2kNOKXIcZDc0BbNlzUr28aGg82EqShHuWlOG0y4dR+Q5M\nqs/EU3tXIyrkEGzRm1HoGIa5oy+C0+xg5YCIiNJWSgTbGTNm4ODBg51eX1BQgFdeeaXT65cuXYql\nS5f2xKlRGrCaDfjd7eWIRgVMRnlhl0HX+Y+2IxZsRdSAAlsBqr3VOOrueKOGVu12urFxX6FYxVYv\n6VNil65xhVlo2F+HQFDeXSzHYUZWm13QbBYjbPlyCC8ZNAn/MePHOOWrx3B7AQZZc2EyGpCdbWN/\nLRERpbWUaEUgOl8GvU4NtWeiVGwBoMAsz3897q5QK5haXn+87UBtRYjNse2sJ7e3jR+elfB5UcGZ\nZ9EOzxyK6UNKMSRjMHQS/xkgIqL+gb/RaMBxaIJtjn4oAMAX9qPGU9vutgkVW0tixbav+2sV4woT\ng+3obgRbIiKi/ojBlgYcpz0ebG2R+OKyYx1sr6sNtrY2PbZGfWr0cQ/NzUjYzrc7FVsiIqL+iMGW\nBpwMswEGvbyoLODTI9ciTwKobKlpd1ttK0JGm6kIqVKxlSQJ44bL0xEkACPzM7u+AxERUT/FYEsD\njiRJajtCszeEYXa5HaHac7LdbZUZthI0i8diPbbGFOmxBUxAQqkAABnySURBVICZE/MAAJOLcmA1\np8SaUCIiol7H34A0IDltJjQ2B+D2BjDcXoA99ftR461FVEQTFlN5YhXbDItB3Z0u1Sq2ADBrUp46\n9oyIiGigYsWWBiRlk4ZmbxDD7QUA5Ersqdb6hNt5fHKPrbaHNRiRe2xNKdJjqxicZYVBz5c0EREN\nXPwtSAOSwyYHVbc3qLYiAEC1J7HP1hNrRUgIttHUq9gSERERgy0NUA5NxTbXmg1zrPpa1abPVumx\ntWmCbSr22BIRERGDLQ1QyiYNXn8YkQgwLNaO0HYBWYcV2xTssSUiIiIGWxqgtLuPtbQGO52M0HGw\nTc0eWyIiooGOwZYGJO3uY3KfrVyxdQXc8IS86nVdtSKwYktERJRaGGxpQHK2CbbKZAQAqG6Rq7bB\nUATBcBRAxxXbVNl5jIiIiGQMtjQgaSu2zd4ghtoLIEGeU6tMRlDaEIB4sBVCIBSVR4CZdBwDTURE\nlEoYbGlAspj0MBnlH3+3JwCz3oTB1lwA8ckICcHWIofYcDQMAQGAFVsiIqJUw2BLA5IkSXBkxLfV\nBdpPRvBqgq3SY6vMsAXYY0tERJRqGGxpwHLa5WDr9gYAQJ2MUOutQyQagccfVm+rtCIo/bUApyIQ\nERGlGjYJ0oClVGzdXjmsDs+UK7ZhEUFt6yl4fFH1tkqwDWkqtkb22BIREaUUVmxpwHLa47uPAfFW\nBEBuR1B6bE0GHUxGPYD45gwAK7ZERESphsGWBixl5JdSsc02Z8FqsAIAqjw1Hc6wTeix5Za6RERE\nKYXBlgYsZeSXPxhBIBSBJEnqPNvqlpNd7joGACYdK7ZERESphMGWBixnm1m2QOJkhI6CbYgVWyIi\nopTFYEsDVtvdx4D4ZISWkAfNgWYAbVoRItrFYwy2REREqYTBlgastruPAcAwe756WUu0EUCbVgRW\nbImIiFIWgy0NWI4OKrY5lmz1Ml/UCwCwW+NjvULssSUiIkpZDLY0YJmNelhM8hgvt0fepMFmzIBe\nio32kloBAHZL+4qtTtJBr9P35ukSERHRGTDY0oCm9Nk2t8YDq8OUCQCQjLGwq108Fuux5Xa6RERE\nqYfBlgY0dZZtrGILAFlmBwBAMvkBdNxja2R/LRERUcphsKUBzaFWbOO9s85YsEWsYqsNtv6wHHbN\n7K8lIiJKOQy2NKA5bfK2um5P+2ArmdoH26aACwCQZXH21ikSERFRNzHY0oDmsMcqtt4ghBAAAKcp\nFmyNfgAioce20S8H22xzNoiIiCi1MNjSgKb02AbDUfiDEfkypWKrE5AMIWRY4uO+mmLBNseS1ctn\nSkRERGfCYEsDWkebNKg9tgAy7BHoJAkA4A8H0Br2AQCyGWyJiIhSDoMtDWgdbaurtCIAgMUeVj92\nxfprAVZsiYiIUhGDLQ1ozg4qtlmaiq3JGl9UpvTXAkC2mcGWiIgo1TDY0oCWmREPtq7YLFurwQpJ\nyLuK6c3xYNukDbas2BIREaUcBlsa0IwGHXIc8siv6novAECSJEhhi/yxMb5xQ2OsFcFqsMJqsPTy\nmRIREdGZMNjSgDcyT95C96vaFvUyEZLDrjD41Mua1FFfnGFLRESUihhsacAbVSD31Fad8iAUjgIA\nIgE52IZ18WDb6G8CwIVjREREqYrBlga8UflyxTYSFaiu9yAQiiAaiM23Rat6O7Via+HmDERERKmI\nwZYGvJGxYAsAX51sgdcXggjKPbR+4UVURBEVUTQF3ACAHE5EICIiSkkMtjTgOTJMyI0tIPuqtgUe\nXyjeYwsBT8iLlqAHESHvTMaJCERERKmJwZYIwKh8uc/2q9pmOdgGzep17kBz4gxbBlsiIqKUxGBL\nhHg7QvVpL1yegFqxBeRg28Rdx4iIiFKeoa9PgCgVjCqILyA7dMKl9tgCgDvYDF/YDwCQICVsuUtE\nRESpg8GWCPFWBADYf7wRiBogInpI+gjcgWa0huSxX1lmJ/Q6fV+dJhEREXWBrQhEAOxWIwY55Spt\nU4u825gutvuYO9Cs7jrG/loiIqLUxWBLFDNKM/YLAAzRDAByK0ITN2cgIiJKeQy2RDEj2wRbE2LB\nVjMVIZszbImIiFIWgy1RjLK1rsKqswEATvsa4Ql5AbBiS0RElMoYbIliRuYlVmxtBvlzX9inXsYe\nWyIiotTFYEsUY7caMTgrPuYr05jZ7jZsRSAiIkpdDLZEGiM1Y7+yzO3n1bIVgYiIKHUx2BJpFGkW\nkOVYnQnXmfUmWA3W3j4lIiIi6iYGWyIN7WSEQbbE6my2JRuSJPX2KREREVE3MdgSaYwbnoWiAgfy\ncjIwacTghAptDvtriYiIUhq31CXSMBp0WPm9GRBCQJIkOM0OdSoCJyIQERGlNlZsiTqgtBxkmeIL\nyLhwjIiIKLUx2BJ1wamZjMBRX0RERKmNwZaoC9pgy4otERFRakuZYLtlyxbMnj0bP/3pTxMu/+ST\nT1BcXIyysjKUlZWhtLQUZWVlePvtt9XbrF69GvPnz8eMGTNw4403Yv/+/b19+tRPOTWtCNmW7D48\nEyIiIjqTlFg89vTTT+PFF1/EqFGjOrx+2LBheO+99zq8buPGjfjjH/+Ip59+GhMmTMBf//pX3Hbb\nbdiwYQMsFkuH9yHqrrFZRZAgYZA1B9lm55nvQERERH0mJSq2FosF69atw4gRI876vmvXrsXixYtR\nUlICk8mEW2+9FZIkYePGjT1wpjTQDM8ciodm/wL3zvx36HX6vj4dIiIi6kJKBNubbroJdru90+s9\nHg/uvPNOXHTRRZgzZw6ee+459bp9+/Zh0qRJ6ueSJGHixInYu3dvT54yDSBZZifMelNfnwYRERGd\nQUq0InTFbrdjwoQJuPnmm/HII49g+/btuPvuu+FwOLB48WK4XC44HI6E+zidTrhcrm4fQ6eToNNx\nR6nu0Ot1Cf+n/oHPa//E57V/4PPYP/F57RkpH2wnTZqE1atXq5/Pnj0bS5cuxUsvvYTFixcn5Ri5\nuZ1Xi6ljDof1zDeitMPntX/i89o/8Hnsn/i8Jlda/pkwbNgwnDp1CgCQk5ODpqamhOtdLhdycnL6\n4tSIiIiIqI+kfLB966238PzzzydcdvToURQWFgIApkyZkjDeKxqN4sCBAygrK+vV8yQiIiKivpXy\nwdZoNOK///u/sXXrVoTDYXz00Ud46aWXcMMNNwAAbrjhBrz66qvYvXs3/H4/Hn/8cZjNZsydO7dv\nT5yIiIiIepUkhBB9fRKlpaWQJAnhcBgAoNfrIUkSdu/eDQBYt24d/vKXv6C2thaDBg3CsmXLEvpr\n/+///g9/+tOf0NjYiJKSEtx///0YO3Zsn3wtRERERNQ3UiLYEhERERGdr5RvRSAiIiIi6g4GWyIi\nIiLqFxhsiYiIiKhfYLAlIiIion6BwZaIiIiI+gUG237usccew5IlS/r6NIiIiIh6HINtGjlw4ABK\nS0sxZcoUXHzxxd2+nyRJnV73z3/+E9dccw2mT5+Ob37zm/joo48Srq+vr8ctt9yC4uJiBIPBLo9T\nU1ODO++8E7NmzcLFF1+Me++9Fy0tLer127Ztw/XXX48LLrgACxcuxPr16xPu39raiuXLl6O4uBjH\njx9PuK60tBRlZWXqf6WlpSguLsbOnTu7+21IKR9++CGKi4vxq1/9qsePxee454XDYfzv//4v5s+f\nj2nTpmH69On43ve+16Pnzue1Z+3btw933XUXysvLMW3aNFx55ZVYtWpVwvflTJ577jlEo9FOr1+9\nejXmz5+PGTNm4MYbb0zYRRMAKioqsHjx4m79e3/o0CF8//vfx4UXXoi5c+fiN7/5jTobHjj3n5ea\nmppOn8OTJ09291vRp+bNm4c5c+bA7/cnXP7JJ59g3rx5PXJMvj77kKC089JLL4nZs2d367aPPvqo\nWLJkSYfXHThwQJSUlIgPPvhABAIB8dprr4mpU6eK2tpaIYQQX3zxhZg7d65Yvny5KC4uFoFAoMtj\nLVy4UPziF78QPp9P1NbWim9+85vivvvuE0IIUVdXJ6ZOnSpeeuklEQgExNatW0VZWZnYt2+fev3X\nv/518fOf/1wUFxeLY8eOdXmsTz/9VFx++eVnPKdUdffdd4t77rlHzJw5s0e/Bj7HvePBBx8UixYt\nEkeOHBHRaFR4vV7xxBNPiLKyMlFVVZX04/F57VkffvihmDp1qnj66aeF2+0WQghx9OhR8W//9m9i\nwYIFwuv1nvExGhoauvzev/fee2LmzJliz549IhAIiKeeekrMnj1b+Hw+IYQQ27ZtE5dccon48Y9/\nfMZ/771er5g9e7Z45JFHRDAYFMeOHRPz5s0TTzzxhBAi+T8v69ev7/T3Siq67LLLRHl5ufj973+f\ncPn27dvFvHnzkn48vj77Fiu2aW779u3t/uK75557cO+9957xvi+88ALmzp2LSy65BCaTCQsXLsT4\n8ePx2muvAQAaGhrwhz/8Addff/0ZH6ulpQUlJSX46U9/CovFgry8PCxatAg7duwAAKxfvx5FRUVY\ntGgRTCYTysvLMW/ePKxbtw4A0NjYiBUrVuDOO++EOMOeIdFoFA8++CBWrFgBk8l0xnNLNU1NTdi0\naRPuvvtuZGVlYcOGDQnXz5s3D//4xz/Uz7ds2YLi4mL18z179qiVwWXLlmHNmjWdVh34HPeOrVu3\nYsGCBRg7diwkSUJGRgZuv/12PPTQQ+r5BwIBPPjgg7jsssswbdo0fO9738PRo0cBANXV1SguLsY7\n77yDq6++GmVlZfjOd76DhoaGDo/H57XnCCFw//334zvf+Q5uueUWOBwOAMDo0aPx2GOPobW1FX/6\n05/U23/44Ye49tprMW3aNCxatAgff/wxGhoacOmllwIALrzwQrzyyivtjrN27VosXrwYJSUlMJlM\nuPXWWyFJEjZu3AgAcLvdeO6557q1PXxDQwPmzJmDu+66C0ajEUVFRbjyyivV5zCZPy8ejwerV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1,1)\n", "ax1.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax1.set_xticklabels([datetime.date(2017,i+1,1).strftime('%b %d %Y') for i in range(12)])\n", "ax1.plot(model_data[model_data['Date']>= split_date]['Date'][window_len:].astype(datetime.datetime),\n", " test_set['eth_Close'][window_len:], label='Actual')\n", "ax1.plot(model_data[model_data['Date']>= split_date]['Date'][window_len:].astype(datetime.datetime),\n", " ((np.transpose(eth_model.predict(LSTM_test_inputs))+1) * test_set['eth_Close'].values[:-window_len])[0], \n", " label='Predicted')\n", "ax1.annotate('MAE: %.4f'%np.mean(np.abs((np.transpose(eth_model.predict(LSTM_test_inputs))+1)-\\\n", " (test_set['eth_Close'].values[window_len:])/(test_set['eth_Close'].values[:-window_len]))), \n", " xy=(0.75, 0.9), xycoords='axes fraction',\n", " xytext=(0.75, 0.9), textcoords='axes fraction')\n", "ax1.set_title('Test Set: Single Timepoint Prediction',fontsize=13)\n", "ax1.set_ylabel('Ethereum Price ($)',fontsize=12)\n", "ax1.legend(bbox_to_anchor=(0.1, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Caveats aside about the misleading nature of single point predictions, our LSTM model *seems* to have performed well on the unseen test set. The most obvious flaw is that it fails to detect the inevitable downturn when the eth price suddenly shoots up (e.g mid-June and October). In fact, this is a persistent failure; it's just more apparent at these spikes. The predicted price regularly seems equivalent to the actual price just shifted one day later (e.g. the drop in mid-July). Furthermore, the model seems to be systemically overestimating the future value of Ether (join the club, right?), as the predicted line near always runs higher than the actual line. I suspect this is because the training data represents a period during which the price of Ether rose astronomically, so it expects that trend to continue (don't we all). We can also build a similar LSTM model for Bitcoin- test set predictions are plotted below (see [Jupyter notebook for full code](https://github.com/dashee87/blogScripts/blob/master/Jupyter/2017-11-20-predicting-cryptocurrency-prices-with-deep-learning.ipynb))." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/50\n", "4s - loss: 0.1007\n", "Epoch 2/50\n", "4s - loss: 0.0630\n", "Epoch 3/50\n", "5s - loss: 0.0451\n", "Epoch 4/50\n", "5s - loss: 0.0426\n", "Epoch 5/50\n", "4s - loss: 0.0375\n", "Epoch 6/50\n", "4s - loss: 0.0333\n", "Epoch 7/50\n", "4s - loss: 0.0300\n", "Epoch 8/50\n", "4s - loss: 0.0321\n", "Epoch 9/50\n", "4s - loss: 0.0312\n", "Epoch 10/50\n", "4s - loss: 0.0293\n", "Epoch 11/50\n", "4s - loss: 0.0273\n", "Epoch 12/50\n", "4s - loss: 0.0288\n", "Epoch 13/50\n", "4s - loss: 0.0272\n", "Epoch 14/50\n", "4s - loss: 0.0278\n", "Epoch 15/50\n", "4s - loss: 0.0277\n", "Epoch 16/50\n", "4s - loss: 0.0272\n", "Epoch 17/50\n", "5s - loss: 0.0263\n", "Epoch 18/50\n", "5s - loss: 0.0260\n", "Epoch 19/50\n", "4s - loss: 0.0257\n", "Epoch 20/50\n", "4s - loss: 0.0258\n", "Epoch 21/50\n", "4s - loss: 0.0242\n", "Epoch 22/50\n", "4s - loss: 0.0244\n", "Epoch 23/50\n", "4s - loss: 0.0246\n", "Epoch 24/50\n", "4s - loss: 0.0256\n", "Epoch 25/50\n", "4s - loss: 0.0236\n", "Epoch 26/50\n", "4s - loss: 0.0251\n", "Epoch 27/50\n", "4s - loss: 0.0241\n", "Epoch 28/50\n", "4s - loss: 0.0238\n", "Epoch 29/50\n", "4s - loss: 0.0248\n", "Epoch 30/50\n", "4s - loss: 0.0245\n", "Epoch 31/50\n", "4s - loss: 0.0240\n", "Epoch 32/50\n", "4s - loss: 0.0225\n", "Epoch 33/50\n", "4s - loss: 0.0233\n", "Epoch 34/50\n", "4s - loss: 0.0235\n", "Epoch 35/50\n", "4s - loss: 0.0243\n", "Epoch 36/50\n", "4s - loss: 0.0241\n", "Epoch 37/50\n", "4s - loss: 0.0237\n", "Epoch 38/50\n", "4s - loss: 0.0232\n", "Epoch 39/50\n", "4s - loss: 0.0237\n", "Epoch 40/50\n", "4s - loss: 0.0251\n", "Epoch 41/50\n", "4s - loss: 0.0233\n", "Epoch 42/50\n", "4s - loss: 0.0229\n", "Epoch 43/50\n", "4s - loss: 0.0224\n", "Epoch 44/50\n", "4s - loss: 0.0230\n", "Epoch 45/50\n", "4s - loss: 0.0240\n", "Epoch 46/50\n", "4s - loss: 0.0238\n", "Epoch 47/50\n", "4s - loss: 0.0220\n", "Epoch 48/50\n", "4s - loss: 0.0226\n", "Epoch 49/50\n", "4s - loss: 0.0232\n", "Epoch 50/50\n", "4s - loss: 0.0230\n" ] } ], "source": [ "# random seed for reproducibility\n", "np.random.seed(202)\n", "# initialise model architecture\n", "bt_model = build_model(LSTM_training_inputs, output_size=1, neurons = 20)\n", "# train model on data\n", "# note: eth_history contains information on the training error per epoch\n", "bt_history = bt_model.fit(LSTM_training_inputs, \n", " (training_set['bt_Close'][window_len:].values/training_set['bt_Close'][:-window_len].values)-1, \n", " epochs=50, batch_size=1, verbose=2, shuffle=True)\n", "# #eth_model.save('eth_model%d.h5'%j)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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FX3/9xeeff84LL7yg5Sh6eXmhqio//fQTp0+fBiAlJYWbN28WWDuK6v68/fbbnD59mnHj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Wzhu3nzZm677TaampqOuM727dtPaFICgeDkJi18iz1WelKHCCeNE2594czxnNZJz0DhG+4XvnZz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\nzvH444+zfv16Fi5cyMqVK0lOTvarL3fddRdJSUmsWLGCBQsW8OGHH7Jgw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes\n", "from mpl_toolkits.axes_grid1.inset_locator import mark_inset\n", "\n", "fig, ax1 = plt.subplots(1,1)\n", "ax1.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,5,9]])\n", "ax1.set_xticklabels([datetime.date(i,j,1).strftime('%b %Y') for i in range(2013,2019) for j in [1,5,9]])\n", "ax1.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " training_set['bt_Close'][window_len:], label='Actual')\n", "ax1.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " ((np.transpose(bt_model.predict(LSTM_training_inputs))+1) * training_set['bt_Close'].values[:-window_len])[0], \n", " label='Predicted')\n", "ax1.set_title('Training Set: Single Timepoint Prediction')\n", "ax1.set_ylabel('Bitcoin Price ($)',fontsize=12)\n", "ax1.annotate('MAE: %.4f'%np.mean(np.abs((np.transpose(bt_model.predict(LSTM_training_inputs))+1)-\\\n", " (training_set['bt_Close'].values[window_len:])/(training_set['bt_Close'].values[:-window_len]))), \n", " xy=(0.75, 0.9), xycoords='axes fraction',\n", " xytext=(0.75, 0.9), textcoords='axes fraction')\n", "ax1.legend(bbox_to_anchor=(0.1, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "# figure inset code taken from http://akuederle.com/matplotlib-zoomed-up-inset\n", "axins = zoomed_inset_axes(ax1, 2.52, loc=10, bbox_to_anchor=(400, 307)) # zoom-factor: 2.52, location: centre\n", "axins.set_xticks([datetime.date(i,j,1) for i in range(2013,2019) for j in [1,5,9]])\n", "axins.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " training_set['bt_Close'][window_len:], label='Actual')\n", "axins.plot(model_data[model_data['Date']< split_date]['Date'][window_len:].astype(datetime.datetime),\n", " ((np.transpose(bt_model.predict(LSTM_training_inputs))+1) * training_set['bt_Close'].values[:-window_len])[0], \n", " label='Predicted')\n", "axins.set_xlim([datetime.date(2017, 2, 15), datetime.date(2017, 5, 1)])\n", "axins.set_ylim([920, 1400])\n", "axins.set_xticklabels('')\n", "mark_inset(ax1, axins, loc1=1, loc2=3, fc=\"none\", ec=\"0.5\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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ly0Z69+7Oxx+3R6fTceTIQc6eDXmt10cIIYR4V0ngK8QT1q1bg4mJCW3b/uep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\nRG1trdi+fbvw8/MTxcXFQgghzp49K4KCgsTChQuFQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1,1)\n", "ax1.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax1.set_xticklabels([datetime.date(2017,i+1,1).strftime('%b %d %Y') for i in range(12)])\n", "ax1.plot(model_data[model_data['Date']>= split_date]['Date'][10:].astype(datetime.datetime),\n", " test_set['bt_Close'][window_len:], label='Actual')\n", "ax1.plot(model_data[model_data['Date']>= split_date]['Date'][10:].astype(datetime.datetime),\n", " ((np.transpose(bt_model.predict(LSTM_test_inputs))+1) * test_set['bt_Close'].values[:-window_len])[0], \n", " label='Predicted')\n", "ax1.annotate('MAE: %.4f'%np.mean(np.abs((np.transpose(bt_model.predict(LSTM_test_inputs))+1)-\\\n", " (test_set['bt_Close'].values[window_len:])/(test_set['bt_Close'].values[:-window_len]))), \n", " xy=(0.75, 0.9), xycoords='axes fraction',\n", " xytext=(0.75, 0.9), textcoords='axes fraction')\n", "ax1.set_title('Test Set: Single Timepoint Prediction',fontsize=13)\n", "ax1.set_ylabel('Bitcoin Price ($)',fontsize=12)\n", "ax1.legend(bbox_to_anchor=(0.1, 1), loc=2, borderaxespad=0., prop={'size': 14})\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As I've stated earlier, single point predictions can be deceptive. Looking more closely, you'll notice that, again, the predicted values regularly mirror the previous values (e.g. October). Our fancy deep learning LSTM model has partially reproducted a [autregressive (AR) model](https://dashee87.github.io/data%20science/general/A-Road-Incident-Model-Analysis/) of some order `p`, where future values are simply the weighted sum of the previous `p` values. We can define an AR model in these mathematical terms: \n", "\n", "\\begin{align}\n", "PredPrice_{t} & = \\phi_0 + \\phi_1*Price_{t-1} + \\ldots + \\phi_p*Price_{t-p} + \\epsilon_t, \\ \\epsilon_t \\sim N(0, \\sigma)\\\n", "\\end{align}\n", "\n", "The good news is that AR models are commonly employed in time series tasks (e.g. [stock market prices](https://upcommons.upc.edu/bitstream/handle/2099/3572/04marcek.pdf)), so the LSTM model appears to have landed on a sensible solution. The bad news is that it's a waste of the LSTM capabilities, we could have a built a much simpler AR model in much less time and probably achieved similar results (though the title of this post would have been much less clickbaity). [More complex does not automatically equal more accurate](https://pdfs.semanticscholar.org/696c/2fa5697f58914921ff37d69ced44ddea143f.pdf)). \n", "\n", "We'll now build LSTM models to predict crypto prices for the next 5 days." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/50\n", "5s - loss: 0.2213\n", "Epoch 2/50\n", "4s - loss: 0.1576\n", "Epoch 3/50\n", "5s - loss: 0.1449\n", "Epoch 4/50\n", "4s - loss: 0.1378\n", "Epoch 5/50\n", "4s - loss: 0.1286\n", "Epoch 6/50\n", "4s - loss: 0.1257\n", "Epoch 7/50\n", "4s - loss: 0.1244\n", "Epoch 8/50\n", "4s - loss: 0.1265\n", "Epoch 9/50\n", "4s - loss: 0.1200\n", "Epoch 10/50\n", "4s - loss: 0.1205\n", "Epoch 11/50\n", "4s - loss: 0.1169\n", "Epoch 12/50\n", "4s - loss: 0.1200\n", "Epoch 13/50\n", "4s - loss: 0.1162\n", "Epoch 14/50\n", "4s - loss: 0.1174\n", "Epoch 15/50\n", "4s - loss: 0.1173\n", "Epoch 16/50\n", "4s - loss: 0.1196\n", "Epoch 17/50\n", "4s - loss: 0.1153\n", "Epoch 18/50\n", "4s - loss: 0.1167\n", "Epoch 19/50\n", "4s - loss: 0.1159\n", "Epoch 20/50\n", "4s - loss: 0.1151\n", "Epoch 21/50\n", "4s - loss: 0.1135\n", "Epoch 22/50\n", "4s - loss: 0.1118\n", "Epoch 23/50\n", "4s - loss: 0.1128\n", "Epoch 24/50\n", "4s - loss: 0.1102\n", "Epoch 25/50\n", "4s - loss: 0.1145\n", "Epoch 26/50\n", "4s - loss: 0.1109\n", "Epoch 27/50\n", "4s - loss: 0.1125\n", "Epoch 28/50\n", "4s - loss: 0.1112\n", "Epoch 29/50\n", "5s - loss: 0.1122\n", "Epoch 30/50\n", "4s - loss: 0.1108\n", "Epoch 31/50\n", "5s - loss: 0.1110\n", "Epoch 32/50\n", "4s - loss: 0.1102\n", "Epoch 33/50\n", "4s - loss: 0.1090\n", "Epoch 34/50\n", "5s - loss: 0.1087\n", "Epoch 35/50\n", "4s - loss: 0.1091\n", "Epoch 36/50\n", "4s - loss: 0.1091\n", "Epoch 37/50\n", "5s - loss: 0.1079\n", "Epoch 38/50\n", "4s - loss: 0.1066\n", "Epoch 39/50\n", "4s - loss: 0.1100\n", "Epoch 40/50\n", "4s - loss: 0.1061\n", "Epoch 41/50\n", "4s - loss: 0.1083\n", "Epoch 42/50\n", "4s - loss: 0.1069\n", "Epoch 43/50\n", "4s - loss: 0.1048\n", "Epoch 44/50\n", "4s - loss: 0.1054\n", "Epoch 45/50\n", "4s - loss: 0.1063\n", "Epoch 46/50\n", "5s - loss: 0.1042\n", "Epoch 47/50\n", "4s - loss: 0.1016\n", "Epoch 48/50\n", "4s - loss: 0.1023\n", "Epoch 49/50\n", "4s - loss: 0.1002\n", "Epoch 50/50\n", "4s - loss: 0.1009\n" ] } ], "source": [ "# random seed for reproducibility\n", "np.random.seed(202)\n", "# we'll try to predict the closing price for the next 5 days \n", "# change this value if you want to make longer/shorter prediction\n", "pred_range = 5\n", "# initialise model architecture\n", "eth_model = build_model(LSTM_training_inputs, output_size=pred_range, neurons = 20)\n", "# model output is next 5 prices normalised to 10th previous closing price\n", "LSTM_training_outputs = []\n", "for i in range(window_len, len(training_set['eth_Close'])-pred_range):\n", " LSTM_training_outputs.append((training_set['eth_Close'][i:i+pred_range].values/\n", " training_set['eth_Close'].values[i-window_len])-1)\n", "LSTM_training_outputs = np.array(LSTM_training_outputs)\n", "# train model on data\n", "# note: eth_history contains information on the training error per epoch\n", "eth_history = eth_model.fit(LSTM_training_inputs[:-pred_range], LSTM_training_outputs, \n", " epochs=50, batch_size=1, verbose=2, shuffle=True)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/50\n", "5s - loss: 0.1042\n", "Epoch 2/50\n", "5s - loss: 0.0645\n", "Epoch 3/50\n", "5s - loss: 0.0528\n", "Epoch 4/50\n", "4s - loss: 0.0482\n", "Epoch 5/50\n", "4s - loss: 0.0446\n", "Epoch 6/50\n", "4s - loss: 0.0436\n", "Epoch 7/50\n", "5s - loss: 0.0419\n", "Epoch 8/50\n", "5s - loss: 0.0407\n", "Epoch 9/50\n", "4s - loss: 0.0412\n", "Epoch 10/50\n", "4s - loss: 0.0411\n", "Epoch 11/50\n", "4s - loss: 0.0397\n", "Epoch 12/50\n", "4s - loss: 0.0393\n", "Epoch 13/50\n", "4s - loss: 0.0395\n", "Epoch 14/50\n", "4s - loss: 0.0391\n", "Epoch 15/50\n", "4s - loss: 0.0383\n", "Epoch 16/50\n", "4s - loss: 0.0397\n", "Epoch 17/50\n", "4s - loss: 0.0381\n", "Epoch 18/50\n", "4s - loss: 0.0382\n", "Epoch 19/50\n", "4s - loss: 0.0386\n", "Epoch 20/50\n", "4s - loss: 0.0382\n", "Epoch 21/50\n", "5s - loss: 0.0383\n", "Epoch 22/50\n", "4s - loss: 0.0382\n", "Epoch 23/50\n", "4s - loss: 0.0374\n", "Epoch 24/50\n", "4s - loss: 0.0366\n", "Epoch 25/50\n", "4s - loss: 0.0373\n", "Epoch 26/50\n", "5s - loss: 0.0376\n", "Epoch 27/50\n", "5s - loss: 0.0371\n", "Epoch 28/50\n", "4s - loss: 0.0369\n", "Epoch 29/50\n", "4s - loss: 0.0376\n", "Epoch 30/50\n", "4s - loss: 0.0358\n", "Epoch 31/50\n", "4s - loss: 0.0371\n", "Epoch 32/50\n", "4s - loss: 0.0357\n", "Epoch 33/50\n", "5s - loss: 0.0359\n", "Epoch 34/50\n", "4s - loss: 0.0358\n", "Epoch 35/50\n", "4s - loss: 0.0357\n", "Epoch 36/50\n", "5s - loss: 0.0357\n", "Epoch 37/50\n", "4s - loss: 0.0357\n", "Epoch 38/50\n", "4s - loss: 0.0343\n", "Epoch 39/50\n", "4s - loss: 0.0356\n", "Epoch 40/50\n", "4s - loss: 0.0357\n", "Epoch 41/50\n", "4s - loss: 0.0365\n", "Epoch 42/50\n", "4s - loss: 0.0349\n", "Epoch 43/50\n", "4s - loss: 0.0353\n", "Epoch 44/50\n", "4s - loss: 0.0347\n", "Epoch 45/50\n", "4s - loss: 0.0346\n", "Epoch 46/50\n", "4s - loss: 0.0344\n", "Epoch 47/50\n", "4s - loss: 0.0340\n", "Epoch 48/50\n", "4s - loss: 0.0347\n", "Epoch 49/50\n", "4s - loss: 0.0337\n", "Epoch 50/50\n", "4s - loss: 0.0341\n" ] } ], "source": [ "# random seed for reproducibility\n", "np.random.seed(202)\n", "# we'll try to predict the closing price for the next 5 days \n", "# change this value if you want to make longer/shorter prediction\n", "pred_range = 5\n", "# initialise model architecture\n", "bt_model = build_model(LSTM_training_inputs, output_size=pred_range, neurons = 20)\n", "# model output is next 5 prices normalised to 10th previous closing price\n", "LSTM_training_outputs = []\n", "for i in range(window_len, len(training_set['bt_Close'])-pred_range):\n", " LSTM_training_outputs.append((training_set['bt_Close'][i:i+pred_range].values/\n", " training_set['bt_Close'].values[i-window_len])-1)\n", "LSTM_training_outputs = np.array(LSTM_training_outputs)\n", "# train model on data\n", "# note: eth_history contains information on the training error per epoch\n", "bt_history = bt_model.fit(LSTM_training_inputs[:-pred_range], LSTM_training_outputs, \n", " epochs=50, batch_size=1, verbose=2, shuffle=True)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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5mCepUCQOiqLwzTffsHfvXmrWrElgYCAajYaRI0eSkJCAnZ2dQXl7e3v9+Iec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\nliciIiLLxMCByAw83O4OkAZwubK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# little bit of reformatting the predictions to closing prices\n", "eth_pred_prices = ((eth_model.predict(LSTM_test_inputs)[:-pred_range][::pred_range]+1)*\\\n", " test_set['eth_Close'].values[:-(window_len + pred_range)][::5].reshape(int(np.ceil((len(LSTM_test_inputs)-pred_range)/float(pred_range))),1))\n", "bt_pred_prices = ((bt_model.predict(LSTM_test_inputs)[:-pred_range][::pred_range]+1)*\\\n", " test_set['bt_Close'].values[:-(window_len + pred_range)][::5].reshape(int(np.ceil((len(LSTM_test_inputs)-pred_range)/float(pred_range))),1))\n", "\n", "pred_colors = [\"#FF69B4\", \"#5D6D7E\", \"#F4D03F\",\"#A569BD\",\"#45B39D\"]\n", "fig, (ax1, ax2) = plt.subplots(2,1)\n", "ax1.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax2.set_xticks([datetime.date(2017,i+1,1) for i in range(12)])\n", "ax2.set_xticklabels([datetime.date(2017,i+1,1).strftime('%b %d %Y') for i in range(12)])\n", "ax1.plot(model_data[model_data['Date']>= split_date]['Date'][window_len:].astype(datetime.datetime),\n", " test_set['bt_Close'][window_len:], label='Actual')\n", "ax2.plot(model_data[model_data['Date']>= split_date]['Date'][window_len:].astype(datetime.datetime),\n", " test_set['eth_Close'][window_len:], label='Actual')\n", "for i, (eth_pred, bt_pred) in enumerate(zip(eth_pred_prices, bt_pred_prices)):\n", " # Only adding lines to the legend once\n", " if i<5:\n", " ax1.plot(model_data[model_data['Date']>= split_date]['Date'][window_len:].astype(datetime.datetime)[i*pred_range:i*pred_range+pred_range],\n", " bt_pred, color=pred_colors[i%5], label=\"Predicted\")\n", " else: \n", " ax1.plot(model_data[model_data['Date']>= split_date]['Date'][window_len:].astype(datetime.datetime)[i*pred_range:i*pred_range+pred_range],\n", " bt_pred, color=pred_colors[i%5])\n", " ax2.plot(model_data[model_data['Date']>= split_date]['Date'][window_len:].astype(datetime.datetime)[i*pred_range:i*pred_range+pred_range],\n", " eth_pred, color=pred_colors[i%5])\n", "ax1.set_title('Test Set: 5 Timepoint Predictions',fontsize=13)\n", "ax1.set_ylabel('Bitcoin Price ($)',fontsize=12)\n", "ax1.set_xticklabels('')\n", "ax2.set_ylabel('Ethereum Price ($)',fontsize=12)\n", "ax1.legend(bbox_to_anchor=(0.13, 1), loc=2, borderaxespad=0., prop={'size': 12})\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The predictions are visibly less impressive than their single point counterparts. Nevertheless, I'm pleased that the model returned somewhat nuanced behaviours (e.g. the second line on the eth graph); it didn't simply forecast prices to move uniformly in one direction. So there are some grounds for optimism.\n", "\n", "Moving back to the single point predictions, our deep machine artificial neural model looks okay, but so did that boring random walk model. Like the random walk model, LSTM models can be sensitive to the choice of random seed (the model weights are initially randomly assigned). So, if we want to compare the two models, we'll run each one multiple (say, 25) times to get an estimate for the model error. The error will be calculated as the absolute difference between the actual and predicted closing prices changes in the test set." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# warning: this cell may take some time to execute\n", "# this code builds 25 LSTM models for eth and bitcoin each (with 25 different initialisations)\n", "# the models are then saved so you hopefully only need to run this cell once\n", "\n", "# random seed for reproducibility\n", "# for rand_seed in range(775,800):\n", "# print(rand_seed)\n", "# np.random.seed(rand_seed)\n", "# temp_model = build_model(LSTM_training_inputs, output_size=1, neurons = 20)\n", "# temp_model.fit(LSTM_training_inputs,\n", "# (training_set['eth_Close'][window_len:].values/training_set['eth_Close'][:-window_len].values)-1,\n", "# epochs=50, batch_size=1, verbose=0, shuffle=True)\n", "# temp_model.save('eth_model_randseed_%d.h5'%rand_seed)\n", "# temp_model = build_model(LSTM_training_inputs, output_size=1, neurons = 20)\n", "# temp_model.fit(LSTM_training_inputs,\n", "# (training_set['bt_Close'][window_len:].values/training_set['bt_Close'][:-window_len].values)-1,\n", "# epochs=50, batch_size=1, verbose=0, shuffle=True)\n", "# temp_model.save('bt_model_randseed_%d.h5'%rand_seed)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "# assuming the previous cell was completed, this cell loads in the different initialisations\n", "# and calculates the average mean absolute error (mae)\n", "\n", "from keras.models import load_model\n", "\n", "eth_preds = []\n", "bt_preds = []\n", "for rand_seed in range(775,800):\n", " temp_model = load_model('eth_model_randseed_%d.h5'%rand_seed)\n", " eth_preds.append(np.mean(abs(np.transpose(temp_model.predict(LSTM_test_inputs))-\n", " (test_set['eth_Close'].values[window_len:]/test_set['eth_Close'].values[:-window_len]-1))))\n", " temp_model = load_model('bt_model_randseed_%d.h5'%rand_seed)\n", " bt_preds.append(np.mean(abs(np.transpose(temp_model.predict(LSTM_test_inputs))-\n", " (test_set['bt_Close'].values[window_len:]/test_set['bt_Close'].values[:-window_len]-1))))" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "eth_random_walk_preds = []\n", "bt_random_walk_preds = []\n", "for rand_seed in range(775,800):\n", " np.random.seed(rand_seed)\n", " eth_random_walk_preds.append(\n", " np.mean(np.abs((np.random.normal(eth_r_walk_mean, eth_r_walk_sd, len(test_set)-window_len)+1)-\n", " np.array(test_set['eth_Close'][window_len:])/np.array(test_set['eth_Close'][:-window_len]))))\n", " bt_random_walk_preds.append(\n", " np.mean(np.abs((np.random.normal(bt_r_walk_mean, bt_r_walk_sd, len(test_set)-window_len)+1)-\n", " np.array(test_set['bt_Close'][window_len:])/np.array(test_set['bt_Close'][:-window_len]))))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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8jRs3To0bN9bevXuLrBs4cKCaNWum5s2bKyoqSlFRUerZs6erywcAAEAlVCnm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\nd3jPuDbqaFX8TOBB8Z7595wedCWpoqKiVvVls/n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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1,2)\n", "ax1.boxplot([bt_preds, bt_random_walk_preds],widths=0.75)\n", "ax1.set_ylim([0, 0.2])\n", "ax2.boxplot([eth_preds, eth_random_walk_preds],widths=0.75)\n", "ax2.set_ylim([0, 0.2])\n", "ax1.set_xticklabels(['LSTM', 'Random Walk'])\n", "ax2.set_xticklabels(['LSTM', 'Random Walk'])\n", "ax1.set_title('Bitcoin Test Set (25 runs)')\n", "ax2.set_title('Ethereum Test Set (25 runs)')\n", "ax2.set_yticklabels('')\n", "ax1.set_ylabel('Mean Absolute Error (MAE)',fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maybe AI is worth the hype after all! Those graphs show the error on the test set after 25 different initialisations of each model. The LSTM model returns an average error of about 0.04 and 0.05 on the bitcoin and eth prices, respectively, crushing the corresponding random walk models.\n", "\n", "Aiming to beat random walks is a pretty low bar. It would be more interesting to compare the LSTM model against more appropriate time series models (weighted average, autoregression, [ARIMA](https://dashee87.github.io/data%20science/general/A-Road-Incident-Model-Analysis/) or Facebook's [Prophet algorithm](https://github.com/facebook/prophet)). On the other hand, I'm sure it wouldn't be hard to improve our LSTM model (gratuitously adding more layers and/or neurons, changing the batch size, learning rate, etc.). That said, hopefully you've detected my scepticism when it comes to applying deep learning to predict changes in crypto prices. That's because we're overlooking the best framework of all: human intelligence. Clearly, the perfect model* for predicting cryptos is:\n", "\n", "\\begin{align}\n", "& Price^{Crypto}_{t} > Price^{Crypto}_{t-1} \\, \\forall \\ Crypto \\neq OmiseGo \\textrm{, } \\\\\n", "& \\textrm{ where } Price^{Crypto}_{t} \\to moon \\textrm{, as } t \\to \\infty \n", "\\end{align}\n", "\n", "* This blog does not constitute financial advice and should not be taken as such. While cryptocurrency investments will definitely go up in value forever, they may also go down.\n", "\n", "## Summary\n", "\n", "We've collected some crypto data and fed it into a supercool deeply intelligent machine learning LSTM model. Unfortunately, its predictions were not that different from just spitting out the previous value. How can we make the model learn more sophisticated behaviours?\n", "\n", "* **Change Loss Function**: MAE doesn't really encourage risk taking. For example, under mean squared error (MSE), the LSTM model would be forced to place more importance on detecting spikes/troughs. [More bespoke trading focused loss functions](http://www.faculty.ucr.edu/~taelee/paper/lossfunctions.pdf) could also move the model towards less conservative behaviours.\n", "\n", "* **Penalise conservative AR-type models**: This would incentivise the deep learning algorithm to explore more risky/interesting models. Easier said than done!\n", "\n", "* **Get more and/or better data**: If past prices alone are sufficient to decently forecast future prices, we need to include other features that provide comparable predictive power. That way, the LSTM model wouldn't be so reliant on past prices, potentially unlocking more complex behaviours. This is probably the best and hardest solution.\n", "\n", "If that's the positive spin, then the negative reality is that it's entirely possible that there is no detectable pattern to changes in crypto prices; that no model (however deep) can separate the signal from the noise (similar to the merits of using [deep learning to predict earthquakes](https://www.scientificamerican.com/article/can-artificial-intelligence-predict-earthquakes/)). And any pattern that does appear [can disappear as quickly](http://site.iugaza.edu.ps/wdaya/files/2013/03/A-Random-Walk-Down-Wall-Street.pdf) (see [efficient market hypothesis](results_merge.click2)). Just think how different Bitcoin in 2016 is to craze-riding Bitcoin of late 2017. Any model built on 2016 data would surely struggle to replicate these unprecedented movements. All of this suggests you might as well save yourself some time and stick to autoregression (unless you're writing a blog, of course).\n", "\n", "But I'm sure they'll eventually find some use cases for deep learning. In the meantime, you can build your own LSTM model by downloading the Python code [here](https://github.com/dashee87/blogScripts/blob/master/Jupyter/2017-11-20-predicting-cryptocurrency-prices-with-deep-learning.ipynb). Thanks for reading!" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" }, "widgets": { "state": { "200ff45abb3b47f3ade09c6ce91695fb": { "views": [ { "cell_index": 21 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 1 }