{ "cells": [ { "cell_type": "markdown", "id": "3018f39e", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Time Series Anomaly Detection\n", "\n", "\n", "\n", "Feng Li\n", "\n", "School of Statistics and Mathematics\n", "\n", "Central University of Finance and Economics\n", "\n", "[feng.li@cufe.edu.cn](mailto:feng.li@cufe.edu.cn)\n", "\n", "[https://feng.li/python](https://feng.li/python)" ] }, { "cell_type": "markdown", "id": "2b2114ba", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## What do outliers mean?\n", "\n", "![Two types of outliers](figures/tsoutliers.webp)" ] }, { "cell_type": "markdown", "id": "3aec9310", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Are time series outliers all harmful?\n", "\n", "- **Baseline**: Whether outliers are noise or useful signal, it purely depends upon **business objective**. \n", "\n", "\n", "- **Business objective - How to retain Premium customers?**\n", "\n", " Here premium customers can be defined on the basis on their usage (let's consider monthly usage is more then Rs. 5000). Percentage of such customers over total customer base will be very less (let say 3%). So such customer will become outliers as their usages are very much different from the usages (let say Rs. 750) of most of the customers (here 97%). However those outliers are our main data of analysis. So these outliers are good & can't be excluded.\n", " \n", "- **Business objective - To analyse the usage pattern of customers.**\n", "\n", " If we will include above mentioned premium customers (or a customer whose average monthly usage is Rs. 1000 but one month, it has been Rs. 4000 due to some reason) in analyzing usage pattern of all customers then their effect will be bad on model's outcome. Hence these customer's usages are bad outliers & needs to removed these records.\n" ] }, { "cell_type": "markdown", "id": "a01d7c47", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- **Business objective - To analyse the fraud in shopping using credit cards.**\n", "\n", " If a customer never do any purchases in the night however their is an transaction at 2:00 AM. This transaction is a candidate of good outlier as it may be used to detect fraud.\n", "\n", "- **Business objective - To analyse the transaction of sale for the last 1 year for a product (e.g. Bread)**\n", "\n", " Normally the average units of bread bought in any transaction are 1-8 units. But one week suddenly it has been 10-20 units of bread transaction. On the further investigation it was found that, the people were stocking the bread because they were expecting the storm to hit at that location in that week. If you are interested in looking at sale of bread on regular basis, you may not want to involve a situation which include a storm in your model because it is not a normal behavior. So that weeks' transactions are bad outliers & needs to be removed." ] }, { "cell_type": "markdown", "id": "308c6bb3", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Two types of time series outliers\n", "\n", "### Point outlier\n", "\n", "A point outlier is a datum that behaves unusually in a specific time instance when compared either to the other values in the time series (global outlier), or to its neighboring points (local outlier). " ] }, { "cell_type": "markdown", "id": "2198db2a", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- Example: are you aware of the Gamestop frenzy? A slew of young retail investors bought GME stock to get back at big hedge funds, driving the stock price way up. That sudden, short-lived spike that occurred due to an unlikely event is an additive (point) outlier. The unexpected growth of a time-based value in a short period (looks like a sudden spike) comes under additive outliers.\n", "![Game Stop](figures/gamestop.webp)" ] }, { "cell_type": "markdown", "id": "6537792d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Subsequence outlier\n", "\n", "- Consecutive points in time whose joint behavior is unusual, although each observation individually is not necessarily a point outlier. \n", "\n", "- Subsequence outliers can also be global or local, and can affect one (univariate subsequence outlier) or more (multivariate subsequence outlier) time-dependent variables. " ] }, { "cell_type": "markdown", "id": "6db6fa0a", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "![Subsequence](figures/outliersubsequence.png)" ] }, { "cell_type": "markdown", "id": "50f7a255", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Anomaly detection techniques\n", "\n", "\n", "- STL decomposition\n", "\n", "- Classification and Regression Trees (CART)\n", "\n", "- Clustering-based anomaly detection\n", "\n", "- Detection using Forecasting" ] }, { "cell_type": "markdown", "id": "16f9e77d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## STL decomposition\n", "\n", "- STL stands for seasonal-trend decomposition procedure based on LOESS. This technique gives you the ability to split your time series signal into three parts: seasonal, trend, and residue.\n", "\n", "- It works for seasonal time-series, which is also the most popular type of time series data. To generate an STL decomposition plot, we just use the ever-amazing `statsmodels` to do the heavy lifting for us." ] }, { "cell_type": "markdown", "id": "dcc2af53", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "- Anomaly detection using STL decomposition is simple and robust. It can handle a lot of different situations, and all anomalies can still be intuitively interpreted.\n", "\n", "\n", "- The biggest downside of this technique is rigid tweaking options. Apart from the threshold and maybe the confidence interval, there is not much you can do about it. \n", "\n", "- For example, When you are tracking users on your website that was closed to the public and then was suddenly opened (due to COVID 19). In this case, you should track anomalies that occur before and after launch periods separately.\n", "\n" ] }, { "cell_type": "markdown", "id": "94dddb8c", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Anomaly detection with Sales Data" ] }, { "cell_type": "code", "execution_count": 1, "id": "2768c781", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from datetime import datetime" ] }, { "cell_type": "code", "execution_count": 2, "id": "ca7608cf", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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Total
Date
1986-01-019034
1986-02-019596
1986-03-0110558
1986-04-019002
1986-05-019239
......
2012-08-0114442
2012-09-0113422
2012-10-0113795
2012-11-0113352
2012-12-0112716
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324 rows × 1 columns

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" ], "text/plain": [ " Total\n", "Date \n", "1986-01-01 9034\n", "1986-02-01 9596\n", "1986-03-01 10558\n", "1986-04-01 9002\n", "1986-05-01 9239\n", "... ...\n", "2012-08-01 14442\n", "2012-09-01 13422\n", "2012-10-01 13795\n", "2012-11-01 13352\n", "2012-12-01 12716\n", "\n", "[324 rows x 1 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def parser(s):\n", " return datetime.strptime(s, '%Y-%m-%d') \n", "catfish_sales = pd.read_csv('data/catfish.csv', parse_dates=[0], index_col=0, date_parser=parser)\n", "#infer the frequency of the data\n", "catfish_sales = catfish_sales.asfreq(pd.infer_freq(catfish_sales.index))\n", "catfish_sales" ] }, { "cell_type": "markdown", "id": "3ff5407d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Introducing an anomaly" ] }, { "cell_type": "code", "execution_count": 3, "id": "5a21e186", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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Total
Date
1996-01-0120322
1996-02-0120613
1996-03-0122704
1996-04-0120276
1996-05-0120669
1996-06-0118074
1996-07-0118719
1996-08-0120217
1996-09-0119642
1996-10-0120842
1996-11-0118204
1996-12-0116898
1997-01-0120746
1997-02-0123058
1997-03-0124624
1997-04-0122154
1997-05-0122444
1997-06-0121471
1997-07-0121866
1997-08-0122548
1997-09-0121518
1997-10-0123408
1997-11-0119645
1997-12-0118278
1998-01-0123576
1998-02-0126650
1998-03-0126207
1998-04-0123195
1998-05-0122960
1998-06-0123002
1998-07-0122973
1998-08-0124089
1998-09-0122805
1998-10-0123241
1998-11-0121581
1998-12-0110000
1999-01-0123107
1999-02-0125780
1999-03-0128544
1999-04-0123488
1999-05-0123964
1999-06-0123720
1999-07-0125069
1999-08-0124618
1999-09-0124430
1999-10-0125229
1999-11-0122344
1999-12-0122372
2000-01-0125412
\n", "
" ], "text/plain": [ " Total\n", "Date \n", "1996-01-01 20322\n", "1996-02-01 20613\n", "1996-03-01 22704\n", "1996-04-01 20276\n", "1996-05-01 20669\n", "1996-06-01 18074\n", "1996-07-01 18719\n", "1996-08-01 20217\n", "1996-09-01 19642\n", "1996-10-01 20842\n", "1996-11-01 18204\n", "1996-12-01 16898\n", "1997-01-01 20746\n", "1997-02-01 23058\n", "1997-03-01 24624\n", "1997-04-01 22154\n", "1997-05-01 22444\n", "1997-06-01 21471\n", "1997-07-01 21866\n", "1997-08-01 22548\n", "1997-09-01 21518\n", "1997-10-01 23408\n", "1997-11-01 19645\n", "1997-12-01 18278\n", "1998-01-01 23576\n", "1998-02-01 26650\n", "1998-03-01 26207\n", "1998-04-01 23195\n", "1998-05-01 22960\n", "1998-06-01 23002\n", "1998-07-01 22973\n", "1998-08-01 24089\n", "1998-09-01 22805\n", "1998-10-01 23241\n", "1998-11-01 21581\n", "1998-12-01 10000\n", "1999-01-01 23107\n", "1999-02-01 25780\n", "1999-03-01 28544\n", "1999-04-01 23488\n", "1999-05-01 23964\n", "1999-06-01 23720\n", "1999-07-01 25069\n", "1999-08-01 24618\n", "1999-09-01 24430\n", "1999-10-01 25229\n", "1999-11-01 22344\n", "1999-12-01 22372\n", "2000-01-01 25412" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "start_date = datetime(1996,1,1)\n", "end_date = datetime(2000,1,1)\n", "lim_catfish_sales = catfish_sales[start_date:end_date]\n", "lim_catfish_sales.loc[\"1998-12-1\"]['Total'] = 10000 # Introduce an anomaly\n", "lim_catfish_sales" ] }, { "cell_type": "code", "execution_count": 4, "id": "ceb45378", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(10,4))\n", "plt.plot(lim_catfish_sales)\n", "plt.title('Catfish Sales in 1000s of Pounds', fontsize=20)\n", "plt.ylabel('Sales', fontsize=16)\n", "for year in range(start_date.year,end_date.year):\n", " plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)" ] }, { "cell_type": "markdown", "id": "1625fce4", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Anomaly detection using STL Decompose" ] }, { "cell_type": "code", "execution_count": 5, "id": "2560ec27", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "from statsmodels.tsa.seasonal import seasonal_decompose\n", "import matplotlib.dates as mdates" ] }, { "cell_type": "code", "execution_count": 6, "id": "62b1ec2b", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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9/V2kZnn86008/OVGXrvuSCb3C+w5ci635bfvruStxTu5floG54/rRWJUGPFdQtvVlXG32zI/M4/3lu7is9V7Ka2qpXtcBGeN7sk5Y3q2aD+s1buK+O+8bXywYheVNW7G9U3gikl9OWV490MOEKy15JRU7V9COiYilJOHd2vTJbkPV3FlDT9/ZSnfb87l1uMGcFuAB9nfbszhqVmb6ZsYdUCA1DO+i4Zg+sEL32dy38drmTogmWcuH0dkmO+HKVZUu7ju5cXM2ZLbrO0VFDR1EgqaRBx7iiq45/3VfLUum57xXfjNKYM5fWT3w/5nviWnlOtfXkxWXjl3nzaEqyanBfQXhI4kt7SK+z5ay4crdtM/NZro8BDW7Snm7Z9N8vtE86bsLqzg2IdmccygVJ66bJy/i9Msbrfl7g9W89qC7Qccj+sS6szTiAwlMSqcxKjQ/XM69s/l8DyOiQjBbcFtLbVui9vt3Lvq36zF5XbjckOt273/uDGGYGMIMhAUZAgyhuAgvI4bgoLwHPekM4ayKhefrt7DB8t2sbuokqiwYE4Z0Z1zx/TkyIykwwpKispreHvJDl6Zv42svHKSo8O4eEIffnJkH3ocpAe6oKz6wL11PMtCb8sro6zadUDaQV1juOuUQRwzKDXgP1tqXW7OfHIOG/eV8LfzRnL+OG2SLC33zpKd/PqdFYzpk8ALV03w6bDO8upafvqfxczbmscD549qVhtV0NRJKGgSgVkbsrnjrRVU1ri4+dj+XDMl3afzkEoqa7j9zRV8tW4f543txV/OGa55Tq3IWsvbS3byl0/WUVHt4qZj+vOz6RmUVtZy5pNzcLktH948pcHhVYHilteXMWPNXr664+iAmRjfHNZalm4vYE9RJfll3vM3PHM6vG7VLnfTGbah4CDDtAHJnDO2FycM6erzPdfcbsvszbn8d14WX6/PxgDHD+nK8UO7sreocv/Go5m5ZRRV/DDXJTjI0Duhi2fTUc8GpJ6NSFftKuKBGRvIzC3jiPREfnPKYMb2ObSe8bawYkchZ/1zTpPDnUSa8vnqPdzy+nL6pUbz8jVHkBITfth5llfXcs1Li1iYmc+DF4zi3LHNC+oVNHUSbR00Lc7K58mZm7luaoaWZBa/q3W5efjLjfxr1hYGd4vhn5eOpV9KdKu8ltttefybTTz61SZG9orj6cvGHfQqsxy6zNwyfvfuKuZtzWNCWgJ/PXcE/VN/GFK1dncx5z01l8HdY3jj+omtOib+UC3KyueCp+dxy7H9uePEQf4uTquw1lJe7XKCqvIf5nOUVNYSZCA4KIjgoHr3nt6h4CBDSJAhyHNfdyzIGMDits5wQbe1uN1Or5XLWqy1uDyP3W5POs9xYwyTMpJ88sWrOXbkl/Pawu28uWgH+Z55Mj3iIkhP+SEgqrv1SohsdDhfjcvNG4t28NhXm8gtreLkYd248+RBrfZZdjiem72VP3+yjgW/O46uAXzRQtqH2ZtyuP7lJXSLi+CVnx55WHOHS6tquebFRSzels8jF7VsGLeCpk6irYIml2di/KNfbdx/7K6TB3P9tIyAH04gHdPeokp+8fpSFmUVcMkRvfnjGcPapPfnizV7ueOtFUSEOvOcjsxo3jynGpeb3NIqsouryC6pIrukkuKKWsanJTC2T0LAzmmorHGxcmcRy7YXsHR7AUu3F+J2W04c1o3TR3bnyPREn8x5qa518+/ZW3ns602EhwTx21OGcPGE3g3OOfhs1R5ufHUp54/rxQPnjwyozyCX23Lmk9+TX1bN1788ulXG60vgqKxxsbOgnJ7xkYfds1VWVcvz32fyzLdbqKx1c+H43tx2/ICACk5+9t8lrN1TzHe/PsbfRZEOYsm2fK5+cRHR4SH896dHkpYU5VwocVus58LIARdK3J4LKNZ57HZbql1u7npnJct2FPLoRaM5Y1SPFpVBQVMn0RZB056iCm59YzkLM/M5e3QPfnfqEP708Vo+WbmH00Z05+/nj+w0+w1IYPAejvd/54zg7DFtuzDA5uwSrn95Cdvzy7nn9KFMH5TiBELFTjDk/XNOSRU5JVXkl1dzsI+/5Ogwjh/SlZOGdWNy/yS/9Z5Ya9lZUMHS7QUs217I0u0FrN1dTK3bKXjfpEjG9I6n1rNRY3m1i6SoME4a3o3TR3TniEMMoJZuL+C3/1vFhn0lnDaiO388Y2iTQ+8e+XIjj329iXtOH8q1ft5p3tsbC7fzm3dXtasFKySw5JVW8cQ3m3l1wTaCgwzXHpXODUf3I7aRrRLagrWW8X/+iqMHpfDwhaP9WhbpWNbuLuaKFxaQW1rddOKDCA4yPH7xGE4b2b3Fz1XQ1Em0dtA0Y81e7vrfSmpq3dx/9vD940OttTw3O5O/fraOfinRPH35uIAcSiAdS63LzSNfbeSfM7cwqKszHK9/qn/aXXFlDbe/sZyv12f/6FxIkCElJpzUmHBSYiJIjQ0nJTqc1NhwUmMiSI1xfu4SGszsTbnMWLOXmeuzKat2dp6fPiiFk4Z1Y/qglEb3lDpcFdUuVu4sZOn2Qk9PUiG5pVUAdAkNZlTvOMb2SWBMnwTG9IknOTr8gOd+uzGbj1fuOSCAOnl4N04b2Z0j05uefF9aVcsDn6/n5fnb6BYbwf1nDef4oV2bVXa323Ljq0v4cu0+Xrr6CKYNTDn0ivCRoooajn1wFhkpUbx1w6SA6gGT9md7XjkPfbmBD5bvJj4ylJuP6c/lk/r67aLK1pxSjn3oW81nklaxPa+cD5bvwuIEQMazyEuw8frZs/iLqf+zMQzqFnPIW1IoaOokWitoqqxx8edP1vLK/O2M6BnH45eMIT056kfp5m7O5ebXl1FT6+ahC0dx4rBuPi+LCDjD8W55fRkLs/K5aHxv7j1zmM8nereU2235eNUeqmpcpMZ6gqGYcBIiw1q8lG1VrYu5m/OYsWYvX67dR15ZNWHBQUzpn8SJw7pxwtCuBwQtLVFcWcOO/HJ25JezPb+crLxyVu0sYt2eH3qR0pIinQCpbwJj+8QzqGtMs3uNKqpdzNqQzcer9vDNumwqalwkR3sCqBE9OCI98UcB1Jdr9/GHD1azt7iSKyel8auTBrW4x7qsqpbznprL7sIKPrj5qAY/o9rS/R+v5YU5mXx081Htaj8pCWyrdxXx98/XM3tTLj3ju/DLEwdy1uiebT6k961FO/j1/1by1R3TDphnKNLeKWjqJFojaNqwt4RbXl/Ghn0lXD8tg1+dOKjRSay7Ciu48ZUlrNxZxC+O7c9txw8M2PkZ0j59uzGH299cTkW1i7+cM7zZK+K0Vy63Zcm2Amas2cuMNXvZWVCBMTC+bwInDevGScO6HbAiW63LzZ6iSrZ7gqK6W12QVH/X+rguoQztHsvYvvH7e5ISo8J8UvaKahczN2TzyQEBVDinDO/GqSO6k5YcyX0freWz1XsZ3C2Gv547gjGHsVrYjvxyznzye5Kiw3n355P9NoRpc3YJJz8629nt/ryRfimDdGzfb8rlb5+vY/WuYgZ3i+E3pwxm+qDUNnv9O992VhBdes8J6kWVDkVBUyfhy6DJWsurC7Zz/8driYkI4aELR3N0M4e8VNa4+OMHa3hz8Q6OHpjCYxePJj7SN1/CpPP68XC8MZ3uCqe1lnV7SvYHUOv3lgAwpHssSVFhbM8vZ1dhBS73D5+tocGGXgmR9E6MpE9iF3onRNIn0XncOzHSp3tiNKa8upaZ63P4dNUevl6/j8oaZ4nqsJAgbj1uANdPyyDUB4tIzNuSx+XPL2DawBT+fcX4Nr9oY63lyhcXsWx7ATN/Nf2QewRFmuJ2Wz5ZtYcHZmxge3457980hdG949vktY95cBb9UqJ57sqA+24pclgUNHUSvgqaCsuruet/K5mxZh/TBqbw0AWjDmnp1tcWbOePH66mW1wET182jmE9NERFDs2+4kp+8foyFmYGznC8QLA9r9wZwrduH1W1bvomOgFRXVDUJymSbrERAdfbW15dyzfrs1m1q4iLJ/Tx+VC6/87fxj3vr+bG6f246+TBPs27KV+v28e1/1nM3acN4adTM9r0taVzKiyvZsz9X3LrcQO47fiBrf56OSVVTPjLV/z2lMHccHS/Vn89kbYUqEGT35ZYM8ZcAFwOjAPigA3Ag9ba1+uluw74NdAbWAP82lr7db00PYEngeOBKuANT7ry1sqrNS3Ymsdtby4nt7SKu08bwjVT0ls8H6POT47sw5DuMdz4ylLOe2oufz13BOeM6dhDqcT3vvMMxyuvdvHQBaM4T7vO79cnKZLrpmVw3bT29eU8MiyE00f24PSRLVsKtrkun9iXdXuKecqzZ1dbrVxXVevi/o/X0i8liisnp7XJa4rER4YxvEccc7fkcdvxrf96S7blAzAhPbH1X0xEADj8cRiH7g6gFLgdOBOYCbxmjPlFXQJjzCXA08DLwCk4gc7HxpjhXmlCgRlAX+Bi4FbgAuBZ7xfzZV6tpdbl5pEvN3LJv+cTHhLEuzdO4adTMw45YKozpk8CH/3iKEb1iuf2N1dw74drqAmwneM7ui05pTz/fSYFZYe+fKc/1LrcPPTFBq58cSFJ0WF89IspCpik2e49YxhHpCfy63dWsnJnYZu85otzssjKc5ae98VQQ5HmmtwviWXbC6iodrX6ay3KKiA8JIjhGj0i0mb8NjzPGJNsrc2td+w1YJK1Nt3zeAMwx1p7jedxELACWGGtvcxz7BLgFaC/tTbTc+xCnB6iQdbaTb7OqzEtGZ5XXesmp9TZMya7uJJ/z97KoqwCzhvbiz+dNczney3VuNz8/bP1PPd9JhPSEvjnT8Y2ufdKHWstuaXV+yez78gvZ09xJaeP7M7kfsk+LWdHUVXrYsaafby2YBvztzpXBdOTo3jhqgl+X1WsOay13Pz6Mj5ZuYcLx/fiT2cO13A8abG80irOfHIOLrflw5unNPsz51Bkl1RyzAOzmJiRxPNXTWi11xFpyKwN2Vz14iJeufZIjhrQuv8Xz3ryeyJCg3nzhkmt+joi/qDhefXUD5g8lgHnARhjMoCBOL09dc9xG2Pe9j6G02u0qC7I8XgfqAZOBjb5Mq/mvLf8sur9G2jmlFZ6gqKq/QGSc7zqRytoRYeH8OhFo1ttY9DQ4CDuPn0oI3vHc9c7Kzn9ie956rKxjOvrdO9XVLvYUVDO9rxy595rta8d+RVU1Bx49axLaDBvLtrBvWcO4/KJfVulzO1RVm4Zry/czttLdpJfVk2vhC7cedIgBneL4c53VnLOv+bw7OXjOSLAh1X8a9YWPlm5h1+fPIifT+/v7+JIO5UUHc6/rxjPeU/N5WevLOH16ye22r42//h8A9UuN3efPrRV8hdpzIS0REKCDHO35LZq0FRWVcvq3cXcqLlMIm3Kb0HTQUwCNnp+rps5vL5emnVAojEmxVqb40m31juBtbbaGLPFKw9f5tWo1buKGHv/lz86HhEaRGpMBCkx4fRLiWZiRpJno80fbn2TotpkFa0zR/VgYNdobvjvEi5+dj7De8axs6CCnJKqA9JFhQXTOzGSvklRTB2Q4pnY3oU+iZH0SoikxuXmlteXcc/7q9mSXcrdpw1p9j4y/rKvuJJFWflkJEfTPzW60aXbW6LG5ebLtft4dcE25mzOIzjIcPyQVH5yZF+m9k/eP8TyvZ9P5uqXFnHZcwv4+/mBO79s5oZsHvxiA2eN7qF/zHLYhvaI5eELR3Hjq0v5/XureeD8kT5fInn5jkLeWbKTG47OaBc9udLxRIWHMKp3PHO35LXq6yzfUYjLbRmfduhbA4hIywVM0GSMOQ44G7jGc6ju06CwXtICr/M5nvv6aerSJXil9VVejUqOCeePZwx1AqFoJxhKjY0gKiw4oPZRGNwtlg9vPoo/fbSGPYWVHDsolT5JniWQE5zAKDEqrNEyR4QG89yVE/jLJ+t4YU4mWXllPHHJGGL8tC9LY3YWlPP0t1t4a9FOqj3zuUKDDQNSYxjSPZahPWIZ2t25xUU2v/w78st5feF23lq8k9zSKnrERfDLEwZy4YTedG1gGFLfpCjeu3EKN7yymNvfXMG2vHJuPW5AQLWNrNwybn19GYO7xfK3c33/5VY6p1NGdOfW4wbw2NebGNI9lmuPSvdZ3m635d4P15AcHc7Nx6hXVPxncr8k/jlzM8WVNa22R9mirHyMgbF9FTSJtKWACJqMMWnAa8AH1tqX/FualjPGXA9cD9CnTx+unuK7LwOtKa5LKA9fOPqw8ggOMvzhjKH0S43iDx+s4byn5vL8lRMO2OjTn7Jyy/jXrM28u3QXxsD543pz/rhe7CqsYN2eYtbuLua7TTn8b+nO/c/pGd+FoT1inWCqeyzDesTSK6HL/uCh1uXmq3XZvLZwO7M35WCAYwen8pMj+3D0wNQml5aOiwzl5WuO5HfvreLRrzaxLa+cv503otWGLLVEWVUt1/93MUFBhmcvH6c5TOJTtx43gPV7i/nLJ2sZkBrNtGbuO9eU95fvYvmOQh44f2RAXrSRzmNSvySe+GYzizLzOW5I11Z5jcVZBQzuFuu3jaNFOiu/B03GmETgM2AbcKnXqbpeoDgO7P1JqHe+wJOmvgSchR58ndePWGufxbPC3vjx4zvlxleXHtmXvolR3PjqEs7+5xyevWLc/rlS/rA5u4Qnv9nMhyt2ExocxGUT+3LD0Rl0j+sCwLi+CZw56oellrNLKlm3p2R/ILV2TzFfr9tH3f6kMREhDOkeS1pSJN9uzGFfcRXdYiO45dgBXDShNz3iu7SofGEhQTxw/kjSk6N4YMYGdhVU8Mzl40iI8t8GxNZa7nxnBZuzS3n5miMDJvCVjiMoyPDwhaM576m53PzaUp65fDwTMxIPqzeztKqWv322nlG94jhvbGAOd5XOY2yfBMJCgpi7Ja9VgqZal5ul2ws4X6uYirQ5vwZNxphI4GMgDDi93l5IdfOPBuMEVHg9zvfMQapLd8B8I2NMGJCBs8S4r/OSgzhqQDLv/XwK1/5nEZc8u4B/nD+y1Ra1OJi1u4t5cuYmPlu9ly6hwfx0agY/nZpOakzjK3alxkSQGhPB0V5XviuqXWzcV8Jar0Bqxpp9jOkTz/1n9eHYwamHNYfLGMNNx/Snd2Ikv3p7Bec+NdevK+v9a9YWPl21l9+fOqTVV36SzisqPIR/XzGe85+eyyX/ns/o3vHcMC2DE4d1O6QNgP85czPZJVU8ffm4w96eQeRwRYQGM75vQqvNa1q3p4TyahcT0gJ7ISGRjsifm9uGAG8DA4DJ1tps7/PW2q3GmI04+yTN8DwnyPP4M6+knwE/Mcb0tdbWBURnAuHA577OSxrXPzWa938+hRteWcJtby5na04ptx0/sNW/zKzYUcgT32zmq3X7iAkP4abp/bnmqHQSD6PnpktYMKN6xzOqd7zvCtqAM0f1oGd8BNe9vMRvK+vVLfxw5qge/HRq+xheKu1X78RIZv3qGN5ZupN/f7eVG19dSlpSJD+dmsH543oREdq8YaFZuWU8PzuTc8f0ZGwfze+QwDC5XxIPfrGRgrJqn48eWJTlbF+hRSBE2p4/92l6FrgOZ8nvhfVOL7PWVnntm/RHYA5wJXARMMFau9qTTyjOUuVVwD04w+seAb6q23/Jk85neTWmJfs0dWTVtW5+/94q3l6yk9NGduehC0Y1+4tQSyzKyueJbzbz3cYc4rqEcu1R6Vw5Oa1NViH0tW15ZVz90iJ25le06cp6WbllnPnk9/RMiOTdGydrHpO0KZfbMmPNXp75dgsrdhaRFBXGlZPTuHxi3ya/cF738mLmbM5l5q+mN7jwiog/LNlWwHlPzeWpS8dyyojuPs37568uYeXOIr6/61if5isSSLRP04+d6Ll/rIFz6UCWtfZ1Y0w0cBdOELMGZxjf6rqE1toaY8zJwJPAWzgBzxvAnd4Z+jIvaVpYSBD/OH8k/VKj+fvn69lZUMG/Lx/nk40trbXM25LH499sYv7WfJKiwrjr5MFcPqmvzzcEbkv1V9bLyi3ntuNbd2U9Lfwg/hYcZDh1RHdOGd6NBZn5PPPtFh7+ciNPzdrCRRN6c+1R6Q3Or5u9KYcv1+7j1ycPUsAkAWVkrzgiw4KZuyXPp0GTtZaFmQVM1fBpEb/wW09TR6Weph+bsWYvt72xnPjIUJ67cjzDejS01sbB1brcbNxXyrIdBSzfXsiS7QVszSkjNSacG47ux0+O6NOhvuxX17r53XureGfJTs4Z07PVVtaz1nLTa0v5fPVeXr6m9XewF2muDXtLePa7rXy4Yhcut+W0kT24YVoGw3s6nx01LjenPDab6lo3X9w+rVV6sUUOx1UvLmRHfjlf/3K6z/LMyi1j+oOz+Ms5w7n0SG0oLx2Xepqk0zppWDfe/tkkfvqfxVzw9Dweu3gMJww9+KpC+4orWba9gGU7Clm2vZBVO4uoqHEBkBgVxuje8Vx7VDrnjW3+3If2pK1W1tPCDxKoBnWL4aELR/Grkwby4pwsXluwnY9W7GZK/ySun9aPzdmlbM4u5dnLx3XIzwBp/yb3S+L/NuSwr7jSZz2hdfOZtAiEiH+op8nH1NN0cPuKK/npfxazencRvztlCD+dmk5ljZtVu4pYvqOAZdsLWb6jkD1FlYCz+ezQHnGM6R3PmD7xjO4dT5/EyE612eqHK3bzq7dX0DO+C09dNpbB3WJ9ku/MDdlc89IizhjZg8cuHt2p6lTan+LKGl5bsJ0X52Syr7gKgKkDknn5miPUdiUgrd5VxOlPfM+jF4322Sqyd72zks/X7GXZPSdopUjp0AK1p0lBk48paGpcRbWLX769nE9X7SUtKZIdBRW4PJsh9U7swujeCYzpHc/oPvEM7R6rq8jAkm35XPfyEvLLqjl6YArXHJXOtAHJh/xlUQs/SHtVVevig+W7+Xz1Xu4+bQgZKdH+LpJIg1xuy9j7v+SkYV35x/mjfJLnsQ/NIj0piuevmuCT/EQCVaAGTRqeJ22qS1gwT14ylqd6bGFBZj6njezOmN4JjO4TT3J0uL+LF5DG9U3kqzuO5tX523h5/jaufGEh/VOjuWZKOueM6dmioEcLP0h7Fh4SzIXje3Ph+N7+LopIo4KDDBMzEpm31Tf7NeWVVrE1p0xtX8SPFDRJmwsKcjZ1vekYf5ek/UiMCuMXxw3ghqP78fHK3Tz/fSa/e28V/5ixnp8c0YcrJqXRLa7xcfPWWu58ZwWbs0t5+ZojG1yRTEREfGNyv2RmrNnHjvzyw/68XbytAIAJ2p9JxG8UNIm0I2EhQZw7thfnjOnJoqwCXvg+k6e/3cKz323ltJHduWZK+kE3461b+OF3pw7Wwg8iIq1sUr8kAOZtyTv8oCkrn7CQoP0rSIpI21PQJNIOGWM4Ij2RI9IT2ZFfzktzs3hz0Q4+WL6bcX0TuGZKOicN60pIcBDgLPzw4BcbOHNUD66bmuHn0ouIdHwDUqNJjg5j7pZcLpxweMPqFmUVMLpXfKtsPyEizaOgSaSd650YyT2nD+W24wfw9uKdvDQ3i5teW0rP+C5cObkvEzOSuPX1ZQzuFsvfzxup1cZERNqAMYZJ/ZKZuyUPa+0hf/aWV9eyelcR10/TBS8Rf1LQJNJBxESEcs1R6Vw5OY2v1+3jhTmZ/N+n6wGIjwzVwg8iIm1scr8kPlqxmy05ZfRPPbTVHpfvKKTWbbU/k4ifKWgS6WCCgwwnDuvGicO6sWZ3EW8v3snpI7tr4QcRkTY2ef+8ptxDDpoWZxVgDIzto0UgRPxJQZNIBzasRxzDztTEYRERf+iTGEnP+C7M25rH5ZPSDimPRVn5DOoaQ1xkqG8LJyItEuTvAoiIiIh0RMYYJmYkMW9LHm7PRu4tUetys3RbgYbmiQQABU0iIiIirWRyvyQKymtYv7ekxc9dv7eEsmoX47U/k4jfKWgSERERaSV1+zXN3ZLb4ucuzsoHUE+TSABQ0CQiIiLSSnrEdyE9OYp5W/Ja/NxF2wroGd+FHvFdWqFkItISCppEREREWtGkfkksyMyn1uVu9nOstSzOytfQPJEAoaBJREREpBVN7pdEaVUtq3YVNfs5O/Ir2FdcxXgNzRMJCAqaRERERFrRxAzPfk1bmz9Eb9H++UzqaRIJBAqaRERERFpRcnQ4g7rGtGhe0+Jt+cRGhDAwNaYVSyYizaWgSURERKSVTeqXxKKsfKpqXc1KvyirgPFpiQQFmVYumYg0h4ImERERkVY2uV8SlTVulm8vbDJtflk1m7NLtQiESABR0CQiIiLSyo7MSCLIwNxmDNFbsq0A0P5MIoFEQZOIiIhIK4vrEsrwnnHNmte0OCufsOAgRvSMa4OSiUhzKGgSERERaQOT+iWxbEcBFdWNz2talJXPyF5xRIQGt1HJRKQpCppERERE2sDkfsnUuCyLt+UfNE1ljYtVu4q0P5NIgFHQJCIiItIGxvdNICTINDqvafmOQmpcVvsziQQYBU0iIiIibSAqPITRveMbDZoWeza1HddXQZNIIFHQJCIiItJGJvdLYtXOQooraxo8vyirgEFdY4iPDGvjkolIYxQ0iYiIiLSRSf2ScVtYuPXH85pcbsvSbQXan0kkACloEhEREWkjY/rEEx4S1OAQvQ17SyipqtX+TCIBSEGTiIiISBuJCA1mfFoCc7fk/uhc3ap66mkSCTwKmkRERETa0KSMJNbvLSG/rPqA44uyCugeF0HP+C5+KpmIHIyCJhEREZE2NKlfMgDzt/4wRM9ay6LMfManJWKM8VfRROQgFDSJiIiItKGRveKICgs+YIjezoIK9hZXan8mkQCloElERESkDYUGB3FEeuIBi0HUzWfSIhAigUlBk4iIiEgbm9wvma05ZewtqgSc+UwxESEM7Brj55KJSEMUNImIiIi0sUn9kgCYt9UZorc4K59xfRMIDtJ8JpFA5NegyRjT3xjzjDFmpTHGZYyZ1UAaY4z5nTFmhzGmwhjznTFmdAPphhpjvjbGlBtjdhtj7jPGBLdWXiIiIiKHamj3WOK6hDJ3cx6F5dVs3FeqoXkiAczfPU3DgFOBDcDGg6T5DXAP8HfgDKAU+MoY060ugTEmAfgKsMBZwH3AL4E/tWJeIiIiIockKMgwMSOReVvzWLKtAIDxfbUIhEig8nfQ9JG1tre19gJgTf2TxpgInEDnr9baJ621XwEX4AQ0N3sl/RnQBTjXWvultfZpnCDnDmNMrK/zEhERETlck/sls7OggneX7SI02DCqd7y/iyQiB+HXoMla624iyWQgFnjL6zllwEfAKV7pTgFmWGuLvY69gRP8HN0KeYmIiIgclsmeeU2frtrDiJ5xRIRqJoBIoPJ3T1NTBgMuYFO94+s857zTrfdOYK3dDpR7pfNlXiIiIiKHpX9qNMnR4VirpcZFAl2gB00JQKm11lXveAEQaYwJ80pX2MDzCzznfJ2XiIiIyGExxuzvbVLQJBLYAj1oaheMMdcbYxYbYxbn5OT4uzgiIiLSTpwyvBuxESEKmkQCXIi/C9CEAiDaGBNcr4coASi31lZ7pYtr4PkJnnO+zusA1tpngWcBxo8fb5t+WyIiIiJwyojunDy8G8ZofyaRQBboPU3rgWCgf73j9ecdrafefCNjTG8g0iudL/MSERER8QkFTCKBL9CDprlAMc7S4AAYYyJx9lj6zCvdZ8BJxpgYr2MXARXAt62Ql4iIiIiIdBJ+HZ7nCVpO9TzsCcQaY873PP7UWltujPkbcI8xpgCnp+cOnGDvCa+sngZuAd41xvwdyADuBR6uWzrcWlvpq7xERERERKTzMNb6bwqOMSYNyDzI6XRrbZZx+qx/B9wIJAGLgVustcvq5TUUeBKYhLP63XPAvd7zl3yZVyPvqQTY0FQ6OWzJQK6/C9FJqK7bhuq57aiu24bque2orluf6rjtDLLWxjSdrG35NWjqiIwxi6214/1djo5O9dx2VNdtQ/XcdlTXbUP13HZU161Pddx2ArWuA31Ok4iIiIiIiF8paBIREREREWmEgibfe9bfBegkVM9tR3XdNlTPbUd13TZUz21Hdd36VMdtJyDrWnOaREREREREGqGeJhERERERkUZ02KDJGNPfGPOMMWalMcZljJnVQJp4Y8wLxph8Y0ypMeYzY0z/BtKd7cmnyhiTaYy54yCvOcIY87ExpsgYU2KMWWiMGdeMshpjzO+MMTuMMRXGmO+MMaNb+n78oQPW8yxjjD3IbVLza6Z1tGV9G2OmN1IXM5pR1nbZrjtgHQdsm27rzw9jTHdjzIvGmF2evJYZYy5tZlnbZXuGDlnPatMtzOsgZVWbJmDqOSDbtDHmAmPMh15/y0uMMZc0kO46Y8wmY0ylJ81xDaTpaYx5zzjf23KNMU8aZ7/WFufVSHkbfa4xJsUY87hxvjdWG2Oymps3ANbaDnkDzgJ2AG8D64BZDaSZAewCLgfOBBYC24BYrzRTADfOXk0nAvcANcBt9fIaDZQArwAne273AEc1o6y/BSqAm4HjgU9x9gLo1pL3o3r2ST0PBSbWu30B5AAhnam+gdgG6uJCwNb/vXSkdt0B6zhg23Qb13UQsAjYClwKHAc85anrcztqe+6g9aw23YK81KbbRT0HZJsG5gGv4fxfOhZ40PO3/AuvNJcALk/dHQO87Hm/w73ShAKrgaXAaTifDfuAV+q9XpN5NVLW5pRjtOd1P/T8DrNaVB/+bvit+IsO8vr5nfp/UDgb11rgOK9jXYFy4Fdex2YAs+s99yEgHwjzOjYfeO0QyhkBFAF/8DoW5flD+XNz34/q2Tf13MDzwjxleMrfde2P+m7g9e/0fCj18EV9B2K77mh13MDzAqZNt2VdA4M9eZ1RL91S4M2O2p47Yj2rTe+v62blpTYd+PUcqG0aSG7g2GtAptfjDcAL3r8bYBVeARE/BDTpXscuxAlYB7Qkr0bK2pxyeLebB2lh0NRhh+dZa91NJBmNczVhltdz9gErcKJg73Rf1nvuF0ACzh8SxpihwJHAE4dQ1Mk4V5vf8ipHGfARcIrXsabej190tHpuwMmeMrx+CK/pc21Z3wdxCfCttXZ3E+Vot+26o9VxAwKmTbdxXYd67ovqpSsETBPlaLftGTpePTegs7bp5ubVELXpH9L5vZ4bEBBt2lqb28DhZUAPAGNMBjCQA9+fG6cH0Pv9nQIsstZmeh17H6jGea8tyetHmvvcw23PHTZoaoYIwGWtddU7Xg0MqZeuuoE0eKU70nOfYIxZYYypNcZsMcZc24xyDMaJvjfVO77Oc669a+/1fDGwE5jdjNcIBL6s7wMYYwYCY2jeh3hHbtftvY7bU5v2ZV2vBhYA9xljBhhjYo0xV+EMz3m6iXJ05PYM7b+eO2ubbm5eDVGb/iFdINZzILfpScBGz89172F9vTTrgERjTIpXugPSWGurgS1eeTQ3r4YcznObrTMHTZuBCGPMiLoDxpguwHAgsV66CfWee4Tnvi5dN8/9y8CrwAnA58BzxphTmyhHAlDawB9jARBpjAlrxnsJZO22nj0TFM8E3rKevtx2wJf1Xd/FOFfb/teMcnTkdt1u67gdtmmf1bXn/Z6C839vI05PyLPANdbab5ooR0duz9CO67kzt+kW5NUQtekf0gVUPQdym/YsrHA2zhBGcN4fOD3J3grqnU9oIE1duoR6aZvKqyGH89xm68xB0wwgE3jGGDPIGNMd5ypYHM4YyzpPA2d7VuRIMMacBNStrFKXrm7IwXPW2n9Ya2daa28CZuJMAKxbPSXE6xbcyu8vULTnej4DZ+yx34d8tIAv67u+i4EvrLX5dQc6abtuz3Xc3tq0z+raGBOEc8ElCbgIZ6Lwo8Dzxpi64SGdsT1D+67nTtumm5OX2nS7rOeAbNPGmDSc+UwfWGtf8mM5/NaeO23Q5OkWvBhnMt96YDeQgfNhv9cr6Qs4K/88hTMp713gfs+5unR1kezMei/zDc6KKABH41xBrrt97fXc6AZ+8QlAuaec7VY7r+eLgc3W2sVNvtEA4eP63s8YMwpnGEL9D/FO167beR23qzbt47o+3XM721r7lrV2lrX218B7wD88aTpde4Z2X8+dtk03My+16fZXzwHXpo0xicBnOCsGem8fUPe9LK7eUxLqnS9oIE1duoJ6aQ+alydw867nLS0sx2EJ8UUm7ZW1dqFx1tkfCNRaa7cYYz7GWaGtLo0LuNkYcw/QC+dqQ93Yybp06zz39Se5Gn64UrGEA7uASzz364FgoD/Oyh91fjT+s71qj/VsjInDGWLyj/rnAp0P69vbxThLd35Q73inbNftsY7ba5v2YV0PxvmSUn9uwTKcoTDQSdsztM96VptuVl5q0+2ongOxTRtnuODHOCv6nW6tLfc6XfceBuMEVHg9zrfW5nilG+x1HuMMTczgh7mOTeZljCniwHquamE5Do/141KGbXWjmctkAgOASuCEJtK9AMzxely3NOQ/6qWbBXzVRF4ROGO+7/Y6Fglkc5DlKJv7flTPh17PwFU4S4wO8Xe9+qu+653LpInlgg+nvlvyflTHh1bHgd6m2+Dz4yLP+x9UL92bwBpf1nVL3o/qWW3aF58fh5CX2nQA1nOgtWmczpVPcJZIH3CQNBtwpk3UPQ4CVvLjJcdrgb5ex86n4SXHG82rkbK26LkcwpLjHbanyRMZ1y0O0BOINcac73n8qbW23HNlYT3OJmMjcDbEesNa+6VXPhOBo4DlOMtGXgKc5DkGOF23xpj7gH8YYwpxNvY7D5iG02V7UNbaSmPM34B7jDEFnvLcgfPL3r+0dnPeTzOrxqc6Wj17uRhYYa1d18A5v2nL+q6XNg24vbnlbM/tuqPVsZeAa9NtXNefAtuB9z2fIzk4ywVfCNzUWDnbc3tubrnaUz176extmubk1RC16f35BEQ9ewm0Nv0vnHq+FUgyxiR5nVtmra0C7gVeMcZkAXOAK3GCyp94pX0H+D3wrqcu44BHcPbd9O6Vbk5eB9Os53q1k4E4i3HUPf7WNtUj5e8otrVuOF9A7EFuaZ40j+Ls8FyFszrKXdTbeRkYh/PlvBQoxom4RxzkNe/AuVpcjbOhVpO7n3ueZ3Aa006c4TmzgTEtfT+q58OvZ0+6ZJyxsr/xdzsOkPp+FGdFmvAWlrVdtuuOVseB3Kbbuq5xhsi8jTMnoRRnn5UbANNR23NHrGe16QPSNZmX2nTg13Ogtmkgqzm/f+A6T71U4WxkfVwDefXC2ZupFMgD/glENpCuybwaKW9zynGw9zO9qfyNJwMRERERERFpQKddPU9ERERERKQ5FDSJiIiIiIg0QkGTiIiIiIhIIxQ0iYiIiIiINEJBk4iIiIiISCMUNImIiIiIiDRCQZOIiIiIiEgjFDSJiIiIiIg0QkGTiIiIiIhIIxQ0iYiIiIiINEJBk4iIiIiISCMUNImIiIiIiDRCQZOIiIiIiEgjFDSJiIiIiIg0QkGTiIiIiIhIIxQ0iYiIiIiINEJBk4iIiIiISCMUNImIiIiIiDQixN8F6GiSk5NtWlqav4shIiIiItLuLFmyJNdam+LvctSnoMnH0tLSWLx4sb+LISIiIiLS7hhjtvm7DA3R8DwREREREZFGKGgSEREREWlEXmmVv4sgfqagSURERESkAW635eEvNjD9wVlk5Zb5uzjiR5rTJCIiIiJST0llDbe/uYKv1u3jgnG96BYX4e8iiR8paBIRERER8ZKZW8Z1Ly8mM7eMe88YypWT0zDG+LtY4kcKmkREREREPGZtyOaW15cRHGT477VHMLlfsr+LJAHAb3OajDEXGGM+NMbsMsaUGmOWGGMuaST9rcYYa4x5p4FzPY0x7xljSowxucaYJ40xkQ2ku84Ys8kYU+l5veMONS8RERER6TistTzz7RaueWkRPeK78OHNRylgkv382dN0B5AJ3A7kAqcCrxljkq21T3gnNMakAvcCOfUzMcaEAjOAauBiIB542HN/mVe6S4CnPfl8D1wNfGyMmWCtXd2SvERERESk46iodnHX/1by4YrdnDaiOw9cMJLIMA3Ikh/4szWcYa3N9Xr8jTGmB04w9US9tH8FPgZ6N5DP+cAQoL+1NhPAGFMDvGGM+ZO1dpMn3b3Af6y193vSfAuMAX7DDwFRc/MSERERkQ5gV2EF17+8mLV7irnzpEH8fHo/zV+SH/Hb8Lx6AVOdZUAP7wPGmCOAC3GCm4acAiyqC3I83sfpLTrZk0cGMBB4y+v13cDbnuc3Oy8RERER6RgWbM3jzCe+Z3teOc9fOZ6bjumvgEkaFGj7NE0CNtY9ME6rfQL4h7V210GeMxhY733AWlsNbPGcw+v+gHTAOiDRGJPSgrxEREREpB2z1vLf+du49LkFxHUJ5b2bpnDs4K7+LpYEsIAZrOlZlOFs4Bqvw1cDXYEHG3lqAlDYwPECzzm87uunK/A6n9PMvERERESknaqudfPHD1fz+sIdHDMohUcvHkNcl1B/F0sCXEAETcaYNOA14ANr7UueY3E4c5l+Ya2t8F/pmmaMuR64HqBPnz5+Lo2IiIiINCS7pJIbX1nKkm0F3HRMP+44YRDBQRqOJ03z+/A8Y0wi8BmwDbjU69TvgO3AF8aYeGNMPE6QF+p5HOxJVwDENZB1Aj/0JNXd10+XUO98c/L6EWvts9ba8dba8SkpKQdLJiIiIiJ+snJnIWc+MYe1u4t58idjuPOkwQqYpNn8GjR59j/6GAgDTrfWlnudHgSMxwlW6m5TgDM9P0/ypFtPvflGxpgwIIMf5ifV3deflzQYyLfW5nilayovEREREWknrLW8PC+L85+eR3CQ4Z0bJ3H6yB5NP1HEi9+G5xljQnBWrxsATLbWZtdLcjfwaL1jjwJFwB+BVZ5jnwE/Mcb0tdZu8xw7EwgHPgew1m41xmwELsDZhwljTJDn8Wde+TeZl4iIiIi0D9nFldz5zkq+3ZjD0QNTePjCUSRFh/u7WNIO+XNO079wNrS9FUgyxiR5nVtWt+GsN2NMIZBrrZ3ldfgd4PfAu8aYe3CG1z0CvFZvX6V7gVeMMVnAHOBKnIDtJ4eQl4iIiIgEsM9X7+W3766kvNrF/WcN47KJfbWcuBwyfwZNJ3ruH2vgXDqQ1ZxMrLU1xpiTgSdx9mGqAt4A7qyX7nVjTDRwF3APsAZnSODqluYlIiIiIoGptKqWP324hreX7GR4z1gevWgM/VOj/V0saeeMtdbfZehQxo8fbxcvXuzvYoiIiIh0Oku25XP7myvYWVDOjdP7cetxAwkL8fu6Z9ICxpgl1trx/i5HfQGx5LiIiIiIyKGqcbl5/OtN/HPmZnrEd+HNGyYxIS3R38WSDkRBk4iIiIi0W1tySrn9zeWs3FnE+eN68cczhhIToc1qxbcUNImIiIhIu2Ot5ZUF2/nLJ2uJCA3mqUvHcsqI7v4ulnRQCppEREREpF3JLqnkrndWMnNDDlMHJPPgBaPoGhvh72JJB6agSURERETajS/W7OU3766irKqWe88YyhWT0ggK0lLi0roUNImIiIhIQLPWkl1SxSNfbuSNRTsY2j2Wxy4ezYCuMf4umnQSCppEREREJCBUVLvIzC1ja24pW3PK2JpTytbcMjJzyiipqsUY+NnR/bjjBC0lLm1LQZOIiIiItBm327KrsMIJjjxBUV2AtLuo8oC0PeO7kJ4cxTlje5KRHMWE9ESG9YjzU8mlM1PQJCIiIiKtorLGxbo9xazZXXcrYsPeEqpq3fvTRIeHkJESxRHpiWSkRJOREkVGcjTpyVF0CQv2Y+lFfqCgSUREpIOodbnJK6smu7iK7JJKalyWKf2TtGeNtImiihrWegKjtbuLWb27iC05ZbjcFoDYiBCG94zjsol96VcXHKVEkRIdjjFayEECm4ImERGRAFdV6/IEQlXklFSSXVK1PzD64ecq8suq8Hw/3S8sJIijB6Zw+sjuHD+kK1Hh+tcvhy+npIrVdcHRriLW7C5me375/vNdY8MZ1iOOk4Z1Y1iPOIb1iKVXQhcFR9Ju6ZNTRESklVXVuiiuqKWksoaSylqKPff7H1fUUFxZ63Xuh3RF5c65+oIMJEeHkxobTre4CEb2iiM1JpyU2AhSY8JJjQmnxmX5bPUePl21hy/X7iM8JIhjB6dy+sgeHDs4VUOf5KAqa1zsLKhgZ0E5Ozz3O/N/eJxfVr0/bd+kSIb3jOWiCb0Z1iOWYT3iSIkJ92PpRXzPWGubTmSMG2g6oYe1ttN+Co8fP94uXrzY38UQERE/KCirZuO+EjZml7JpXwkb95WwObuU3NLqRp9njDOvIzYilJiIH+5jIkKI7RJKiic4So2JICXG+TkpKpzgZu5N43ZbFm8r4OOVu/l01V5yS6uIDAvmuCFdOW1Ed6YPSiEitNP+6+6Ual1u9hRVsi2v3BMIlbOzoIId+c59dknVAenDgoPomdCFXgld6J0YSb+UaIb1iGVoj1hiNfxTfMgYs8RaO97f5aivuUHTzfwQNIUCvwRKgQ+AbKArcBYQBTxkrX20NQrbHihoEhHp+OqCo037g6NSNmWXHBAcRYeHMKBrNANTY+iTFElsRAgxdUFRl7qgyLmPDgtps805XW7Lgsw8Pl65h89X7yW/rJro8BBOGOoEUFMHJhMeogCqI6iudbOzoJxteeVk5ZUdcL+zoJwa1w/fAYODDD3iI+gVH0nvxC70SnDueydE0ishktSYcG0gK22iXQdNBzzBmIeBPsAF1uvJxhmk+jawy1p7q09L2Y4oaBIR6Rgqa1zsyC8nK6+cbXllZOU5yyJv3FdKbukPV+Gjw0PonxrNwK7RDOwaw4CuMQxIjaZ7XETAz9+odbmZtzWPj1fs4fM1eymqqCEmIoSThnXjtJHdmdo/mZBg7YUTyCprXGzPLycrt+xHwdHuwooD5rhFhQWTlhxF36RI+iZFkZYUSe/ESHonRNI9LkK/awkIHSloygUutdbOaODcScBr1tokH5Wv3VHQJCLSflRUu9iWX0ZWbl1g5LnPLWNPcSXe/yLjI0NJS4piQGpdcOTct4fgqDmqa93M2ZLLxyv28MXavZRU1tI3KZKfT+/HOWN6aSNRP3K5LbsLKzybvHo2e/XsbbSrsOKAtLERIaQnR+0PivomRZGW7NwnRYV1iLYqHVugBk2HshBEMDAE+FHQBAwD9KkqIiIBo7Sqlm3eQ5Nyf7gav7f4wI00k6LC6JsUycSMpAO+bKYlRRIfGeand9A2wkKCOGZQKscMSqWqdjhfr8vmqVlbuOt/q3jsq03ccHQ/LprQW3OfWlFBWTVbc0udjV5zy8jMKWNrbilZeeVUN7Cv0fi0BC5I7nVAkNTR26mIvxxKT9OTwDXAH4APceY0peLMaboPeN5ae7OPy9luqKdJRKTtFVXUsN0TFGXlevUY5ZUfMJQOIDk6jLSkKNKSva7EJ0XRJymSuC6a0O7NWsu3G3P458zNLMoqIDk6nOumpnPpxL5Ea+nyZnO5LXllztLwOaVV5JQceNtdVEFmbhmF5TX7nxMSZOiTFElGchTpyVFkpER77rWvkXRsgdrTdChBUxjwd+AGwHs9ySrgWeDX1trGlwnqwBQ0iYj4XnWtm33FlewurGB3UQXb8g6c3O69/DFAt9gI+iZFkpYURd9kz70nQNKX/UOzYGseT87czOxNucR1CeWaKelcNTmNuMjOF2haaymtqqWwvIaiCudWUF69PwjK9gqIDrZ/FkBMeAgpseF0jYkgLTmKfik/BEi9EroQqjlG0gl1mKBp/xONSQRGAN2AvcAqa22+D8vWLiloEhFpmVqXm+ySKvYUVbC7sPKA+z1FlewurPxRb5Ex0COuywHD5/b3GCVGav+hVrR8RyFPfrOZr9btIzo8hMsn9eXao9JJjm6/+/KUV9eSmVvG3qJKiipqKCyvobCihuKKGgrLqyn0HCuucI4XVdTgaigKwukhqts/KyU6nJQY55Ya4/1zBMnR4WqnIg3ocEGTNExBk4iIMxypsLyavLJq8kqryS+rJq+s6oCf9xRVsreokn3FlT+6Ch8dHkL3uAi6xUXQI64L3eN/uO8e5+wVo7k1/rVuTzH/nLmZT1btITwkiEuO6MP10zLoHtfF30VrUGWNi2155WTmlu0fxln3877iqh+lN8bpCYqPDCM+MpS4Ls6t7uf4LmHE7f85lPjIMFJiwonvEqqluUUOQ4cKmowxEcA0oBcQUe+0tdY+5YOytUsKmkSkI6txudlZUEFWbhk7C8rJLXUCoHxPcJRX5gRFBeXVHOzfS3xkKIlRYXSLdQKgHp5AyDsw0maZ7ceWnFKemrWF95btIsjA+eN6c+PR/eiTFNmm5agbMrevuMozr63MK0AqZ3dRxQFtMikqjDTPfKH0ZKeXsmdCF08AFEpMRGizNw8WEd/pMEGTMeYo4H9AykGSWGttp738p6BJRNo7l9uyq6CCzHpX47Nyy9hRUPGjYUkJniAoKSrcuY8OIykqzPNzuPNztHM+ITJUe8F0UDvyy3nmuy28tWgn1S43MeEhxEWGkuDVU9PQz84tjHhPT05d+6iscZHvFYTnl1VTUFZNfnmN597z2CuN92atAHFdQp3AKCmS9ORo0pIjnQApOUqBuUiA6khB01KcRR9+Bqy11tY08ZRORUGTiLQXFdUulu0oYGtO2QFX5nfkV1Dt+mF548iwYNKSPFfjPYsqpCc7c4cSo8IUBMkB9hVX8u7SXewrrpsfVE2BZ8GEwvJqiipqGlwUoU5MRAgut6W82tXgeWMgvksoCVFhJEaGHXgfFUpydLgnUIoiIUrLb4u0N4EaNB3KEkKDgHOttSt8XRgREWk91lrW7y3hu405fLcph0WZBfuDo/CQIM/GrTGcMLQb6V7BUUqMljeW5usaG8GN0/sd9LzbbSmprKWwwgmm6gKpwnJnBbrC8hpCgownCAojIdK5r7vFddGwORFpe4cSNK3EWTFPREQCXF5pFd9vzuXbjTnM3pRLTokz4X1Q1xiumNSXKQOSGdQ1hm6xEZq8Lm0iKMg4CyhEhtI3yd+lERFpnkMJmm4EXjLGZFlrv/V1gURE5NBV17pZur1gf2/S6l3FgDPv6KgBKUwdkMy0ASl0i6u/ho+IiIgczKEETV8CkcA3xphqoKR+AmttalOZGGMuAC4HxgFxwAbgQWvt657zscAvgVNwhgRWAPOAu6y1G+vlFQc8CpwNBAEfA7dYa/PqpTsL+DMwANgK/Mla++ah5CUiEgistWzLK+e7TTl8tzGHeVvyKKt2ERJkGNsngV+eMJBpA1MY3jNOQ5pEREQO0aEETf8EfLG50x1AJnA7kAucCrxmjEm21j4B9AGuA54Hfo8TqP0WWGCMGWmt3eGV11vAQOCngBv4O/A+MLUugdeqf/8CbvG83uvGmAJr7RctyUtExN82Z5fy8crdfLRiN1tyygDokxjJOWN7MnVACpP7JRGj1cFERER8wm+b23qCo9x6x14DJllr040xUYDbWlvhdT4R2A48YK39k+fYJGAucLS19jvPsSOABcAJ1tqvPMdmAKHW2mO98vsUiLXWHtWSvBqj1fNEpLXsyC/no5W7+WjFHtbtKcYYODI9kVOGd+fogSmkJUf5u4giIiKHpSOtngeAMSYBGA70Bj6z1hZ4Nr2ttta6G3821A+YPJYB53nOlzXwnHxjzDagh9fhU4B9dUGOJ91CY0ym59xXxphw4BicHiZvbwAvGmPirLVFzcmrqfclIuJLe4sq+Xjlbj5euYflOwoBGNMnnj+cPpTTRnana6zmJomIiLS2FgdNxpgQ4P+Am4AuOEP1JgAFOMPfFgN/PMTyTAI2HuykMSYF6A+84HV4MLC+geTrPOcA+gGhDaRbhzNvaSCwqJl5iYi0qtzSKj5btYePVu5hUVY+1sKwHrH85pTBnDaiO70TI/1dRBERkU7lUHqa/oIz1+hmYCbOggp1PsDZ9LbFQZMx5jicxReuaSTZQ0Ap8JLXsQSgsIG0BUCGVxoaSFdQ73xz8hIR8bmi8hpmrNnLRyt3M2dzLm4L/VOjue24gZw+qjv9UqL9XUQREZFO61CCpiuA31hrXzTGBNc7t4VDCC6MMWnAa8AH1tqXDpLmRuAy4LxAW8nOGHM9cD1Anz59/FwaEWkPKmtcrNxZxKKsfBZm5jN3Sy41LkufxEhunN6PM0b1YFDXGG0qKyIiEgAOJWiKxwmOGhIG1A+kGuVZ3OEzYBtw6UHSnAk8gbPc+Hv1ThcAKQ08LYEfepLq7uMaSEO9dE3l9SPW2meBZ8FZCOJg6USk88orrWLxtgKWbCtgcVY+q3YVUeNyPi76pURx5aQ0zhzdgxE94xQoiYiIBJhDCZpWA2fR8KIIpwBLm5uRMSYSZx+kMOB0a215A2mm4CzY8LS19oEGsllPw8uBD8ZZKhycIK/Gc+zbemnc/DCPqjl5iYg0ylpLZm4Ziz0B0uKsArbmOmvbhAUHMbJXHNcclc6EvomM65tAQlSYn0ssIiIijTmUoOnPwP+MMV2At3EWghhtjDkHuAE4szmZeBaUeBtno9nJ1trsBtIMAz4CPufHK9/V+Qy4xxhzlLX2e8/zxuMME/wMwFpbZYyZCVwAPOP13IuAeZ6V85qVl4iIN2stuaXVbM0p3T/cbsm2AvLKqgGIjwxlfN8ELhjfmwlpCQzvGUdEaIs65EVERMTPDmmfJmPMhcA/cDagrbML+KW19q1m5vEszoIStwIL651ehjOUbglOUHYFUOl1vthau9Yrrxk4wdev+GFD2mxrbf3NbWcBT+L0Gp3qSX+y9+a2zcmrMdqnSaRjKq+uJTO3jMzcMrbm1N2XsjW3jJLK2v3p0pIiGdc3kQlpCYxPSyAjOZqgIA23ExERaY5A3aepRUGTMSYUOALItNbuNsYMBJKBfGCDbUFmxpgsoO9BTqcDaTir8zXkW2vtdK+84oFHgHNwlhD/GLilgc1zz8bpKRsAZAL3WmvfqJemWXkdjIImkfbL5bbsKqhga27pD4GR5+c9RZUHpO0Z34WMlCjSk6PISI4iPSWaId1jSI3RvkkiIiKHqqMETUFABXCKtfabVitVO6agSaT92FtUybLtBSzdXsCy7YWs2lVEVe0Pe3PHRoSQkRJNRnKUJ0CKJiMlirSkKLqEaYidiIiIrwVq0NSiOU3WWrcxZhPQrZXKIyLSKqpqXazZXczSbU6AtGx7Abs9vUdhIUGM6BnHZRP7MqhrDOkpTu9RYlSYVrITERGRQ1oI4vfA340xq6y1q3xdIBGRw2WtZXddL9K2QpbtKGDNrmKqXU4vUs/4LoxLS+SnveMZ2zeBod1jCQsJ8nOpRUREJFA1K2gyxkwDllprS4G7gSRguTFmF7APZ7GG/ay1R/i6oCIiB1PrcrNuTwkLs/JZnJXP0u0F7CuuAiAiNIiRPeO5ekoaY/okMLZPPKmxmnckIiIizdfcnqaZwCScVe5We24iIn5RWeNi2fZCFmXlsygrn6XbCiirdgHQK6ELEzOSGNsngbF9EhjcPYbQYPUiiYiIyKFrbtC0f1C/tfbqViqLiEiDCsurWZxVwKKsfBZm5bN6VxE1LosxMKhrDOeO7cWEdGeZ7+5xXfxdXBEREelgDmVOk4hIq9pVWMHirHwWZjo9SRv3lQIQFhzEyF5xXHtUBkekJzCuTyJxkaF+Lq2IiIh0dC0Jmk41xgxuTkJr7cuHWB4R6YR25JezIDOf+VvzmL81j50FFQBEh4cwrm8CZ47qwYS0REb1jiciVEt9i4iISNtqSdD0h2ams4CCJhFpkLWWnQUVzNuax4KtTqC0q9AJkhIiQzkyPYlrj0pnQloiQ7rHEhykJb9FRETEv1oSNB0DaNdWEWkRay3b88v3B0jzt+bt3x8pMSqMiRmJXD8tg4kZSQxIjSZIQZKIiIgEmJYETRXW2rJWK4mIdBj5ZdV8tzGHbzfmMH9rHns8QVJSVBgTM5K4MSORIz1BkjaPFRERkUCnhSBE5LBZa1m7p5iZ67P5Zn02y3cU4rZOkDSpXxJHZiQxKSORfikKkkRERKT9UdAkIoekrKqWOZtzmbkhm5nrc9hb7PQmjewVxy+OHcCxg1MZ0TNOw+1ERESk3WtW0GSt1c6QIkJWbhnfrM9m5oZsFmzNp9rlJiY8hKkDkzlmUCpHD0ohNSbC38UUERER8Sn1NInIQVXXulmUle8ESuuz2ZrrTGvsnxrNlZP7cszgVCakJRIarOsqIiIi0nEpaBKRA7jdlgWZ+Xy4Yjefrd5DYXkNYSFBTMpI4srJaRwzKJU+SZH+LqaIiIhIm1HQJCJYa1m9q5gPlu/io5W72VdcRWRYMCcO7cppI3swpX8SkWH6uBAREZHOSd+CRDqxzdmlfLhiNx+t2E1mbhmhwYbpg1I5c1QPjh/SlS5hwf4uooiIiIjfKWgS6WR2F1bw8crdfLB8N2t2F2MMTMpI4mdHZ3DysO7ERYb6u4giIiIiAUVBk0gnkF9Wzaer9vDh8t0szMoHYFTveO45fSinj+xO11iteCciIiJyMAqaRDqorNwyZm3IZuaGHOZszqXWbemfGs0vTxjIGaN6kJYc5e8iioiIiLQLCppEOojKGhfztubx7YYcZm3IJiuvHID05CiunZrOWaN6MqR7DMZos1kRERGRllDQJNKOZXp6k2ZtyGH+1jyqat1EhDrLg189JZ3pg1Lom6QeJREREZHDoaBJpB2pqHYxf2ueEyhtzGGbpzcpIzmKnxzZh+mDUjkyPZGIUK16JyIiIuIrCppEAlhReQ1rdhexencR32/OY0G93qRr1JskIiIi0uoUNIkEiNzSKlbvKmLN7mJW73ICpR35FfvPqzdJRERExD8UNIm0MWste4oq9wdIa3YXsXpXMXuLK/en6ZsUycie8VxyRB+G94hjWI9YkqLD/VhqERERkc7Lb0GTMeYC4HJgHBAHbAAetNa+Xi/ddcCvgd7AGuDX1tqv66XpCTwJHA9UAW940pW3Vl4izWGtZW9xJSt2FLJiZ9H+QCm/rBqAIAP9UqKZmJHI8J5xDOsRx9AescR10QazIiIiIoHCnz1NdwCZwO1ALnAq8JoxJtla+wSAMeYS4GngXuB74GrgY2PMBGvtak+aUGAGUA1cDMQDD3vuL6t7MV/mJXIwReU1rNhZyMqdhSzfUcTKnYVkl1QBEBJkGNg1huOHpO4PkIZ0jyEyTB2+IiIiIoHMWGv988JOcJRb79hrwCRrbbrn8QZgjrX2Gs/jIGAFsMJae5nn2CXAK0B/a22m59iFOD1Eg6y1m3ydV2PGjx9vFy9efBg1I+1FZY2LNbuLPb1IhazcWURmbtn+8xkpUYzqFc+oXnGM6h3PkO6xmockIiIi0ghjzBJr7Xh/l6M+v13irh8weSwDzgMwxmQAA4FbvZ7jNsa87X0MOAVYVBfkeLyP01t0MrDJl3m17F1KR2GtZWtuGUuyCli+s5AVOwrZsLeEWrdz0aFbbAQje8Vx/rhejOoVz4hecRpiJyIiItJBBNq4oEnARs/Pgz336+ulWQckGmNSrLU5nnRrvRNYa6uNMVu88vBlXtIJVNe6Wb27iMVZ+SzKKmDJtoL985BiIkIY1SueG47OYGSveEb1iqdbXISfSywiIiIirSVggiZjzHHA2cA1nkMJnvvCekkLvM7neO7rp6lLl+CV1ld5SQdUVFHD0u0F+4OkFTsKqap1A5CWFMmxg1MZ3zeB8WkJZCRHExRk/FxiEREREWkrARE0GWPSgNeAD6y1L/m3NC1njLkeuB6gT58+fi6NNMVay67CChZnFbB4Wz6LswrYsK8Ea53FGob1iOWyiX2ZkJbA2L4JpMaoF0lERESkM/N70GSMSQQ+A7YBl3qdqusFiuPA3p+EeucLPGnqS8BZ6MHXef2ItfZZ4FlwFoI4WDppW9Zackqq2JJTxpacUrbmlLE1t5T1e0r274kUHR7C2L4JnDqiO+PTEhjdO16r2YmIiIjIAfz67dAYEwl8DIQBp9fbC6lu/tFgnIAKr8f5njlIdekOmG9kjAkDMnCWGPd1XhJgKmtcZOaWOUFRTqkTIHkel1bV7k/XJTSY9OQojsxIZFzfBMb3TWRQtxiCNdRORERERBrhz81tQ4C3gQHAZGtttvd5a+1WY8xG4AKcvZPqlgm/AKdnqs5nwE+MMX2ttXUB0ZlAOPC5r/MS/3t36U5W7ixia24ZW7JL2V1UgffK+T3ju5CREsV5Y3uSkRJNv5RoMlKi6BYboblIIiIiItJi/uxp+hfOhra3AknGmCSvc8ustVU4G9G+YozJAuYAV+IEWT/xSvsO8HvgXWPMPTjD6x4BXqu3r5Iv8xI/emPhDtbsLiIjJdqzMENvMlKiyEiJIj05SsPrRERERMSn/Lm5bRbQ9yCn0621WZ501wF3Ab2BNcCd1tqv6+XVC3gSOB6owtmM9s56w/18mtfBaHPb1ldSWUN0eAjGqNdIREREpCMJ1M1t/RY0dVQKmkREREREDk2gBk1B/i6AiIiIiIhIIFPQJCIiIiIi0ggNz/MxY0wJsMHf5egEkoFcfxeik1Bdtw3Vc9tRXbcN1XPbUV23PtVx2xlkrY3xdyHq0zJjvrchEMdhdjTGmMWq57ahum4bque2o7puG6rntqO6bn2q47ZjjAnIxQE0PE9ERERERKQRCppEREREREQaoaDJ9571dwE6CdVz21Fdtw3Vc9tRXbcN1XPbUV23PtVx2wnIutZCECIiIiIiIo1QT5OIiIiIiEgjOmzQZIzpb4x5xhiz0hjjMsbMaiBNvDHmBWNMvjGm1BjzmTGmfwPpzvbkU2WMyTTG3HGQ1xxhjPnYGFNkjCkxxiw0xoxrRlmNMeZ3xpgdxpgKY8x3xpjRLX0//tAB63mWMcYe5Dap+TXTOtqyvo0x0xupixnNKGu7bNcdsI4Dtk239eeHMaa7MeZFY8wuT17LjDGXNrOs7bI9Q4esZ7XpFuZ1kLKqTRMw9RyQbdoYc4Ex5kOvv+UlxphLGkh3nTFmkzGm0pPmuAbS9DTGvGec7225xpgnjTGRh5JXI+Vt9LnGmBRjzOPG+d5YbYzJam7eAFhrO+QNOAvYAbwNrANmNZBmBrALuBw4E1gIbANivdJMAdzAc8CJwD1ADXBbvbxGAyXAK8DJnts9wFHNKOtvgQrgZuB44FOcvQC6teT9qJ59Us9DgYn1bl8AOUBIZ6pvILaBurgQsPV/Lx2pXXfAOg7YNt3GdR0ELAK2ApcCxwFPeer63I7anjtoPatNtyAvtel2Uc8B2aaBecBrOP+XjgUe9Pwt/8IrzSWAy1N3xwAve97vcK80ocBqYClwGs5nwz7glXqv12RejZS1OeUY7XndDz2/w6wW1Ye/G34r/qKDvH5+p/4fFDDJ84s/zutYV6Ac+JXXsRnA7HrPfQjIB8K8js0HXjuEckYARcAfvI5Fef5Q/tzc96N69k09N/C8ME8ZnvJ3Xfujvht4/Ts9H0o9fFHfgdiuO1odN/C8gGnTbVnXwGBPXmfUS7cUeLOjtueOWM9q0/vrull5qU0Hfj0HapsGkhs49hqQ6fV4A/CC9+8GWIVXQMQPAU2617ELcQLWAS3Jq5GyNqcc3u3mQVoYNHXY4XnWWncTSUbjXE2Y5fWcfcAKnCjYO92X9Z77BZCA84eEMWYocCTwxCEUdTLO1ea3vMpRBnwEnOJ1rKn34xcdrZ4bcLKnDK8fwmv6XFvW90FcAnxrrd3dRDnabbvuaHXcgIBp021c16Ge+6J66QoB00Q52m17ho5Xzw3orG26uXk1RG36h3R+r+cGBESbttbmNnB4GdADwBiTAQzkwPfnxukB9H5/pwCLrLWZXsfeB6px3mtL8vqR5j73cNtzhw2amiECcFlrXfWOVwND6qWrbiANXumO9NwnGGNWGGNqjTFbjDHXNqMcg3Gi7031jq/znGvv2ns9XwzsBGY34zUCgS/r+wDGmIHAGJr3Id6R23V7r+P21KZ9WdergQXAfcaYAcaYWGPMVTjDc55uohwduT1D+6/nztqmm5tXQ9Smf0gXiPUcyG16ErDR83Pde1hfL806INEYk+KV7oA01tpqYItXHs3NqyGH89xm68xB02Ygwhgzou6AMaYLMBxIrJduQr3nHuG5r0vXzXP/MvAqcALwOfCcMebUJsqRAJQ28MdYAEQaY8Ka8V4CWbutZ88ExTOBt6ynL7cd8GV913cxztW2/zWjHB25XbfbOm6Hbdpnde15v6fg/N/biNMT8ixwjbX2mybK0ZHbM7Tjeu7MbboFeTVEbfqHdAFVz4Hcpj0LK5yNM4QRnPcHTk+yt4J65xMaSFOXLqFe2qbyasjhPLfZOnPQNAPIBJ4xxgwyxnTHuQoWhzPGss7TwNmeFTkSjDEnAXUrq9Slqxty8Jy19h/W2pnW2puAmTgTAOtWTwnxugW38vsLFO25ns/AGXvs9yEfLeDL+q7vYuALa21+3YFO2q7bcx23tzbts7o2xgThXHBJAi7CmSj8KPC8MaZueEhnbM/Qvuu507bp5uSlNt0u6zkg27QxJg1nPtMH1tqX/FgOv7XnThs0eboFL8aZzLce2A1k4HzY7/VK+gLOyj9P4UzKexe433OuLl1dJDuz3st8g7MiCsDROFeQ625fez03uoFffAJQ7ilnu9XO6/liYLO1dnGTbzRA+Li+9zPGjMIZhlD/Q7zTtet2Xsftqk37uK5P99zOtta+Za2dZa39NfAe8A9Pmk7XnqHd13OnbdPNzEttuv3Vc8C1aWNMIvAZzoqB3tsH1H0vi6v3lIR65wsaSFOXrqBe2oPm5QncvOt5SwvLcVhCfJFJe2WtXWicdfYHArXW2i3GmI9xVmirS+MCbjbG3AP0wrnaUDd2si7dOs99/Umuhh+uVCzhwC7gEs/9eiAY6I+z8kedH43/bK/aYz0bY+Jwhpj8o/65QOfD+vZ2Mc7SnR/UO94p23V7rOP22qZ9WNeDcb6k1J9bsAxnKAx00vYM7bOe1aablZfadDuq50Bs08YZLvgxzop+p1try71O172HwTgBFV6P8621OV7pBnudxzhDEzP4Ya5jk3kZY4o4sJ6rWliOw2P9uJRhW91o5jKZwACgEjihiXQvAHO8HtctDfmPeulmAV81kVcEzpjvu72ORQLZHGQ5yua+H9XzodczcBXOEqND/F2v/qrveucyaWK54MOp75a8H9XxodVxoLfpNvj8uMjz/gfVS/cmsMaXdd2S96N6Vpv2xefHIeSlNh2A9RxobRqnc+UTnCXSBxwkzQacaRN1j4OAlfx4yfFaoK/XsfNpeMnxRvNqpKwtei6HsOR4h+1p8kTGdYsD9ARijTHnex5/aq0t91xZWI+zydgInA2x3rDWfumVz0TgKGA5zrKRlwAneY4BTtetMeY+4B/GmEKcjf3OA6bhdNkelLW20hjzN+AeY0yBpzx34Pyy9y+t3Zz308yq8amOVs9eLgZWWGvXNXDOb9qyvuulTQNub24523O77mh17CXg2nQb1/WnwHbgfc/nSA7OcsEXAjc1Vs723J6bW672VM9eOnubpjl5NURten8+AVHPXgKtTf8Lp55vBZKMMUle55ZZa6uAe4FXjDFZwBzgSpyg8idead8Bfg+866nLOOARnH03vXulm5PXwTTruV7tZCDOYhx1j7+1TfVI+TuKba0bzhcQe5BbmifNozg7PFfhrI5yF/V2XgbG4Xw5LwWKcSLuEQd5zTtwrhZX42yo1eTu557nGZzGtBNneM5sYExL34/q+fDr2ZMuGWes7G/83Y4DpL4fxVmRJryFZW2X7bqj1XEgt+m2rmucITJv48xJKMXZZ+UGwHTU9twR61lt+oB0TealNh349RyobRrIas7vH7jOUy9VOBtZH9dAXr1w9mYqBfKAfwKRDaRrMq9Gytucchzs/UxvKn/jyUBEREREREQa0GlXzxMREREREWkOBU0iIiIiIiKNUNAkIiIiIiLSCAVNIiIiIiIijVDQJCIiIiIi0ggFTSIiIiIiIo1Q0CQiIiIiItIIBU0iIiIiIiKNUNAkIiIiIiLSCAVNIiIiIiIijVDQJCIiIiIi0ggFTSIiIiIiIo1Q0CQiIiIiItIIBU0iIiIiIiKNUNAkIiIiIiLSCAVNIiIiIiIijVDQJCIiIiIi0ggFTSIiIiIiIo0I8XcBOprk5GSblpbm72KIiIiIiLQ7S5YsybXWpvi7HPUpaPKxtLQ0Fi9e7O9iiIiIiIi0O8aYbf4uQ0M0PE9ERERERKQRCppEJOBYa/1dBBGfUpuWjkZtWjobBU3tWK3LzT9nbmbMfV+wYGuev4sjctjKqmr57bsrmfy3b8gurvR3cUQO2+7CCi57bgHnPjUXl1tfMqX9W76jkBMe/pa731/t76KItCkFTe1UZm4ZFz4zjwdmbKCsysUDMzboqo+0ayt2FHL6E9/zxqId7Cuu5Olvt/q7SCKH5ZOVezj50e+YvzWPZdsL+Xjlbn8XSeSQudyWJ7/ZxHlPzSUzt4zXF25nc3apv4sl0mYUNLUz1lr+Oy+LUx+bzebsUh67eDT3nD6ExdsKmLNZvU3S/rjcln/O3Mx5T82lqsbF69dN5NyxvXh1wTb1Nkm7VFpVy6/eXsFNry0lPSWaL+84mkFdY3j8603qbZJ2aWdBOZc8O58Hv9jIKcO78eUdRxMeEsyT32zyd9FE2oyCpnZkT1EFV7ywkHs+WMP4tAS+uP1ozhrdkwsn9KZ7XASPfrVRvU3SruwqrOCSf8/ngRkbOGl4Nz67dRoTM5K4+Zj+1Lqtepuk3Vm2vYDTHp/Nu0t3csux/XnnZ5NIT47i1uMHsCWnTL1N0u58uGI3pzw2m7V7inn4wlE8cckY0pOjuGJyXz5csVu9TdJpKGhqB6y1vL9sFyc98h2Lswq4/+zhvHzNEXSLiwAgPCSYnx/TX71N0q58tGI3Jz/6HWt2FfHQBaN48pIxxEWGApCWHMU5Y3qqt0naDZfb8sTXmzj/6XnUuixv3jCJO04cRGiw82/25GHd1Nsk7UpJZQ13vLmcW15fxoDUaD69ZSrnju2FMQaA66dmqLdJOhUFTQEuv6yam15bym1vLqd/ajSf3TqVyyf23f+hVefC8b3U2yTtQkllDXe8tZxfvL6M/qnRfHrrVM4b1+tHbVq9TdJe7Mgv5+Jn5/HQlxs5fWR3PrttKhPSEg9IExRk1Nsk7caSbfmc+vhs3l++i9uOH8BbN0yiT1LkAWmSosPV2ySdioKmAPb1un2c+Mh3fLl2H78+eRBv/2wyaclRDaYNDwnm59P7qbdJAtqSbQWc9vj3vL9sF7ceN4C3b5hE36SG27R6m6Q9+GD5Lk59bDbr95Tw6EWjeeziMcRGhDaYVr1NEuhqXW4e+XIjFzw9D4C3fzaJ244fSEhww18X1dsknYmCpgBUWlXLb/63kmv/s5jk6DA+uOkofj69P8FBptHnXTihN91i1dskgafW5eaxrzZx4TPzcFvLWzdM4vYTDv6PuI56myRQFVfWcNsby7j1jeUM6hbDp7dO5ewxPRt9jnqbJJBtzyvnwmfm8djXmzh7TE8+vWUq4/omNvoc9TZJZ6KgKcAs2JrHyY9+x1uLd3Dj9H58cPMUhvaIbdZzw0OCuekY9TZJYNmRX85Fz87nka82ctaoHnx661TGpzX+j7iOepskEC3KyueUR2fz0co93HHCQN64fiK9EyObfiLqbZLAY63lf0t2curjs9mUXcrjl4zh4QtHE3OQHtP61NsknYWCpgBRWePiL5+s5eJ/zyc4yPD2zyZx18mDCQ8JblE+6m2SQPLesp2c8thsNu4r4bGLR/PwRaMPOnTpYNTbJIGixuXm4S82cNEz8/Z/Tt9y3IAme0y9qbdJAklRRQ2/eH0Zv3x7BUN7xPL5bdM4c1SPFuWh3ibpLBQ0BQBrLbe+sYx/z87k0iP7NKtL/GDU2ySB4vWF27n9zRUM7R7LZ7dO5azRjQ9dOhj1NkmguOf91Tz+zWbOHduLT2+dytg+CYeUj3qbJBBU17q54vkFfL56L3eeNIjXr5tIz/guh5SXepukM1DQFABeW7idGWv28btTB/Pns0cQFR5yWPmpt0n8bXN2KX/6aA1H9U/m9esn0iuheUOXDka9TeJvn63awxuLdnDD0Rk8eMEoog/jc1q9TRIIHv5yIyt2FvHEJWO46Zim5003Rr1N0hkoaPKzzdkl3P/xWqYOSOanR2X4JE/1Nok/VdW6uPWNZUSGhfDwhaMO6x9xHfU2iT/tLqzgN++uYlSvOH514iCf5KneJvGnuZtzeea7LVxyRB9OGdHdJ3mqt0k6OgVNflRV6+IXry8nMiyEhy4YRZAPvlzWqetteuxr9TZJ23pwxgbW7C7m7+eNJDU2wmf51vU2PfOdepuk7bjcltvfXE6Ny81jF4/Zv1nt4QoKMtxynNPb9MmqPT7JU6Q5Csqquf2t5aQnR3HP6UN8lm9SdDhXTHJ6m7bkqLdJOh4FTX70wOcbWLenmAfO9+2XS/iht2lRVgFzt6i3SdrG7E05/Ht2JpdP7MsJQ7v6NO+05CjOHt2TV+ZvI7tEvU3SNp7+dgsLMvP505nDDrpP3qE6ZXg3BnaNVm+TtBlrLb95dyX5ZdU8fvEYIsMObzpAfddNq+tt2uzTfEUCgYImP/luYw7PfZ/JFZP6ctwQ3365rKO5TdKW8kqruOOtFQxIjeb3p/nu6qW3Xxzr6W3S3CZpA8t3FPLIlxs5bWR3zh/Xy+f5BwUZbj1uIJuzS9XbJG3i9YU7mLFmH78+aTDDe8b5PP9kT2/TB8t3qbdJOpxGgyZjzCJjzMLm3tqq0O1drufL5cCu0fzu1Nb5cglOb9PP1dskbcBay13/W0lRRQ2PXzKGiNCWLZXfXOptkrZSWlXLrW8so2tsBP939giM8d3waW/qbZK2sjm7lPs+XsPUAclce1R6q72Oepuko2qqp2lNC2/SBGstd72zkuLK1v1yWefC8eptktb3yvxtfLUum9+cPJgh3Zu3GfOhUm+TtIU/frCGHfnlPHLRaOIiW7a3WEuot0naQlWti1teX9Yqc6jrU2+TdFSNDma11l7VRuXoNP47fxtfr8/m3jOGMrhb6365BIgIdXqb/vDBGuZuyWNK/+RWf03pXDbuK+HPn6xj+qAUrp6S1uqv593bdMPRGaTG+HY+oMiHK3bzv6U7ueXY/hyRfmh75rWEd2/TaSO6+2TFSRFvD87YwNo9xTx3xXifz6FuyHXTMnh53jae/GYzj1w0utVfT6QtaE5TG9qw1/lyecygFK6cnNZmr6veJmktlTXO1cuYiBAeOH9Uqw1hqk+9TdJadhaU8/v3VjGmTzy3HDegTV5TvU3Smr7b+MMCPcf7eIGeg1Fvk3RELQqajDFpxpi7jTEvG2Peqn9rrUJ2BHVfLmMjQnnggrb7cgk/9DZpbpP42t8/X8/6vSU8cP4oUmLC2+x1NbdJWkOty81tbyzHWnjsojGE+Gh58ebQ3CZpDXmlVfzy7dZdoOdgNLdJOppm/0cwxozDmbd0qec2ABgPnA9MBDTuqxF/+2w9G/aV8OAFI0mObrsvl3XU2yS+NnNDNi/OyeKqyWkcMzi1zV9fvU3ia/+cuYXF2wq4/+xh9EmKbNPXVm+T+Jq1ll+/0/oL9ByMepuko2nJZbQHgLeB4YABrrXWZgBHARb4h++L1zF8s34fL83N4uopaUwf1PZfLkG9TeJbOSVV3Pn2CgZ3i+E3pwz2SxnU2yS+tGRbPo9/s4mzR/fgnDG+X168OdTbJL70imcO9W9Paf0Feg5GvU3SkbQkaBoNvA64PY8jAKy1c4E/AX/zack6iOySSu58eyWDu8Vw18n++XJZR71N4gvWWu58ZwUllbV+uXrpTb1N4gvFlTXc+sZyusdFcN/Zw/1WDvU2ia94L9BzVRvOoa5PvU3SkbQkaLJAtXW+bWcDfb3O7cAZride3G7Lr95eSWlVLU/4+cslqLdJfOOluVnM2pDD3acNYWDXGL+WRb1N4gt/eH81e4oqeeziMcRGtN7y4s2h3iY5XP5aoOdg1NskHUVLgqa1QD/Pz/OA240xA4wxfYFfA1t8Xbj27sW5WXy3MYe7Tx/KAD9/uaxT19v02Feb1NskLbZuTzF//XQ9xw9J5bKJfZt+Qhu4+dj+1LjcPKveJjkE7y3byfvLd3PLsQMY1zfB38UhKMhwy3ED2JxdyqfqbZJD8LfPPAv0XNC2C/QcTHJ0OJd7epu2qrdJ2rGWBE3PAt08P/8O6A6sB7YCRwK/8m3R2rc1u4v4+2frOX5IVy47so+/i7NfRGgwN07vx8KsfOapt0laoO7qZVxkKH8/b6Tfr17WSU+O4uwxPXllgXqbpGW255Vzz/trmJCWwE3H9Gv6CW3k1OHdGZCq3iZpuZnrs/fPoT7GT3OoG3L9tAzCQoLU2yTtWrODJmvtf621f/b8vA4YApwCnAP0t9Z+0TpFbH8qql3c+sZy4iND+cf5gfPlss5FE3rTNTacRztZb1N5dS2vzN/GPe+vJiu3rM1fv6Syps1f05f+8sk6NmWX8vCFo0jywwqQjfnFsQOoru18vU3ZJZU8/vUm/vH5egrLq9v0ta21lFbVtulr+lKNy82tby7DGHjkotFturx4U4KCDLceP4BNnbC3aXN2CX/+eC3Pzd5Kda276Sf4UK3LTUW1q01f05dySqq4850VATGHuj5nblMa73ey3iZrLfO35vH791bx0Yrdbf6dq7LGRY2rbf+OOrKQQ32itbYUUKDUgD9/spbN2aX899ojSIwK83dxfiQiNJifT+/PHz9cw7wteUzu37FXi99ZUM7L87bxxsLtFFfWEhJkeHPxDn4+vR8/O7pfq88121dcyV8/XccHK3bzyIWjOXtMz1Z9vdbw1dp9/Hf+Nq6bms7UASn+Ls6PePc2XX90Bqkxrb/jvT+t2lnEi3My+WjlbmpcliADby7awe9OHcK5Y3u2+oWatbuL+cMHq1m1q4j3b5rit5W5DscTX29i2fZCHr9kDL0S2nZ58eZweps28fjXmzh1RHeCgwLr4psvud2Wbzfm8MKcTGZvyiUkyFDrtry5aAf3nz2ciRlJrV6Gb9bv408fraXWZfnstql+n9vWUs4cameBnteum+j3OdQNuX5aBi/Py+LJbzbz8EWj/V2cVlVZ4+LDFbt5cU4W6/YUExJkeHXBdt5avIP7zhpOenJUq76+y215dcE2HpyxgVG943n5miMC7gJ+e2RaEvUaYyKAaUAvPKvnebHW2qd8WDa/McYMBZ4AJgGFwHPAn6y1TV6CGjhslK0+4/+4floGvzu1bTeSa4nKGhdHPzCTvolRvHnDxA73x2StZWFmPi/OyeKLtXsxxnDysG5cPSWN3omR3P/xWj5euYf05CjuO2tYqwQCNS43L83J4tGvNlLjsqTGhlNSWcuXd0xrV1/qs4srOfmx2XSLjeC9myYTHhJ4/4wBMnPLOO6hWVwzJZ27Tx/q7+L4XK3Lzedr9vLSnCwWbysgKiyYC8b35srJaZRX13L3+6tZtr2QI9MT+fPZw1tlHmVRRQ0Pf7GB/87fRnxkGNZaeiVE8t7PJwdUT01TFmbmc/Gz8zhnTC8eunCUv4tzUB+v3M3Nry3jiUvGcMaoHv4ujs+VVtXyzuId/GfeNjJzy+gaG87lE/tyyRF9WL6jkD98sIZdhRWcO7Ynvzt1SKvscbg9r5w/fbSGr9dnk54cxba8Mi6a0Ju/njvS56/Vml74PpP7Pl7L/WcN4/JJaf4uzkH936freG72Vr6642gyUqL9XRyf21dcyX/nbeO1hdvJL6tmUNcYrp6SxumjevDO4h089MVGqlxubjy6HzdOb52Ltouz8vnDB2tYu6eYfilRbMkp46/njuCSIwJnqkhTjDFLrLXj/V2O+podNBljjgL+Bxzs26W11gbmt6kWMMYk4Gziuxb4O87iFw8Bj1hr727q+ZE9B9pj7nqe934+hbCQwP4S8Z+5WfzxwzXcfdoQUmLCqapxU1XrorKZ99W1bgZ2jWH6oFSOGpBMdPghd1z6TN3VnZfmZLF2TzHxkaFcckQfLp/Ylx7xXQ5IO3tTjjNUL6+c00d2557Th9I11jfBzNzNufzhwzVszi7l2MGp/OH0odS6Lac+PptjB6Xy9OXjfPI6rc3ttlz54kIWZeXz8S+m0j81sP/J3fHWcj5dtYe/nzcSa532UFXrbva9220Z0yeeYwalMj4tMSD+hgvKqnl90Xb+O28be4oq6ZMYyZWT07hgfK8Droa73ZY3Fu3g75+vp6yqluumZXDLsQPoEnb4H8tut+WdJTv5++frKSiv5rKJfbnjhIHM3ZLHz19dyl0nD+bG6YEzJ6gxReU1nPLYd4SGBPHJLVMD4nPrYNxuy0mPfofbWu44YRBVtc1rx1Vej0OCgpjcL4ljBqcytHssQQHQY7Utr4z/zN3G24t3UFJVy+je8Vw9JY1Thnc/4G+uotrFE99s4t+ztxIZFsKvTx7EJRP6+OQ9VFS7eOrbLTz97RZCPcMhr5qczkNfbuCZb7fy6k+PZEo7GYWxbk8xZz05h2kDk/n3FeMD+iJobmkVR/39G47qn8zZY3oe9PtFY99H4rqEMm1AMscMTqVvUuv22DTXsu0FvDgni09X7cFlLccN7so1U9KY1C/pgN9HdnElf/5kHR+u2E1aUiT3nTWcaQN9c9E2u6SSv322nneX7qJHXAR3nz6Uk4d149LnFrBqVxFf3jGN7nFdms4oAHSEoGkpUAX8DFhrrW3fEzQOwhjzW5zVAPtaa4s9x34N3At0qzt2MF16DLSrVyylXzu4glJZ4+LYB2exu6jhyfNBxhnKFxEaTHhI0P77cM99SJBh1c4iSqpqCQ02TEhL5JhBqUwflEL/1Og2/eDeV1zJK/O38dqC7eR5ru5cNSWNs0f3bPRLY2WNi6e/3cK/Zm0hLDiIX544kCsmpR3yUJg9RRX8+ZN1fLJyD30SI/njGUM5bkjX/eefmrWFv3++nn9dOpZTR3Q/pNdoS3WB9f+dM4KfBNCCJgeTmVvGiY98S42r4c+1kCDTYHuOCA0iPCQIl9uyYkcR1S43UWHBHDUg2dOmU+kW17a9gxv2lvDS3EzeW7aLyho3U/oncfXkdI4ZnNpo+8wrreL/Pl3P/5bupGd8F/505jCOH9r1oOmbsmpnEfd8sJrlOwoZ1zeB+84axrAecfvP3/jKEr5en81nt05tF597d7y5nA9X7OadGyczune8v4vTpE9X7eHnry496Pmw4CDCQ4MID/mhHXu38ZLKWlbvLsJaSIkJZ/rAlP0XuuK6tN0QNGstc7fk8eKcTL5en02wMZw2sjtXTU5jTJ/GVy3cnF3C799bzYLMfEb3jucv5ww/oA22tBxfrN3HfR+tZVdhBWeO6sHvTh2y/++7ssbFqY/Npsbt5vNbpxEVwEE1OMOwTnnsOwrKa/j81qkBN9+0IX/9bF2je+uFh3i149AgIkIO/B6yq7CCTM+85IzkKKYPSuWYwSkckZ7YpiMhqmvdfLZ6Dy/MyWLFjkJiwkO4cEJvrpyURp+kxof8fr8pl3s+WE1mbhmnjezOHw7jom2ty81/5m3j0S83Ulnr4rqpGdx8bH8iw5y2uy2vjJMfnc3EjEReuGpCQAfVAJuzSxnQNabdB01lwLnW2hmtWyT/MsZ8B+y21l7sdawPsA0401r7UWPPzxgy0m5dt7KVS+k7uaVV7Cuu/NEXyYjQYEKCTJN/XDUuN0u3FTBzQw6zNmSzfm8JAD3ju3DM4BSOGZTKpH5J+/94fa25V3eakpVbxj0frGb2plyG94zlL2ePYFQLvlBV1bp4/vtMnvh6M25r+fn0/txwdMaPut5rXW7O+ddc9hRV8OXtR5MQgHPevJ315PdgDO//fHLAf9DW2ZFfTmlV7f52vD84Cglq1hCysqpa5m7JY+aGbGatz95/UWFI91iOGZTCMYNTGdM7vlWGo7nclm/WZ/PinEzmbskjPCSIc8f25KrJ6Qzq1rLhdgu25nH3+6vZlF3KCUO7cu+Zw+gZ3/yrjAVl1TzwxQZeX7idpKhwfnvK4AbnS2WXVHLCw9/RPzWat26YFNBzbyprXIz80xdcNL439/txE9uW2rivBGv50Wd0WEhQs+o7t7SK7zbmMHNDDt9tzKGooobgIMO4vgkc4/nCOahrTKv8jVdUu3h/+S5empPFhn0lJEWF8ZMj+3DZxL4t+pJoreW9Zbv4yyfrKCiv5qrJ6dxx4sAW9RRuzSnlTx+t5duNOQzsGs2fzhzOpH4/ni+1KCufC5+Zx5WT0rj3zGHNzt8fVu4s5Mwn5/DgBaM4f1wvfxenWWpcbjbuKyE0uC4gcoL+cE/Q35x2mJVbxqwN2czckMP8rXlU1brpEhrMlP7JTPd8Trfk864lckureH3Bdv47fxvZJVWkJ0dx1eQ0zhvXq0XtsbLGxTPfbuWfszYTFhzEHScM5IpJfVv0v2X+1jz++MEaNuwr4eiBKfzxjKENDnt8/vtM7v94LY9cNIpzxgR2O/nvvCyumJze7oOmecDT1tr/tG6R/MsYkw38y1p7b73jZcC91toHGnv++PHj7eLFi1uxhIFtd2EFszbkMHNDNnM251Je7SIsJIiJGUnOF85BqaQdxgRIay2VNW6+WLuXF+dksbyFV3eayvuTVXu476O15JRWcemRfbjzxMHERTZ+NfbbjTn86cM1bM0t48ShXbnn9KH0Tjx4OdbtKeaMJ77njFE9eCSAJ8OWVNYw6k9fcPMx/bnjxEH+Lo5fWGvZlF3KzPXZzNyQzeKsAmrdltiIEKYOdNrz0QNTDmsvFGstheU1vLtsF/+Zm8X2/HJ6xEVw+aQ0Lp7Q+7AC6+paN89/n8njX28C4NbjB3DtUemENvJP2eWZgP+PGespqazlikl9uf2EgY1OjH936U7ueGsFfzxjKFdPST/k8ra2+VvzuPjZ+Tx3xfjD6n1rz2pdbpbvKGTmhmxmrs9h7R5n8ET3uAjniv2gFKb0Tz6sHha327KrsIJXF2znjUXbKSyvYWj3WK6eksYZo3oc1jyOovIa/jFjPa8t3E5qTDh/OH0Yp47o1ugX7fLqWp78ZjPPzc4kPCSI2zxfThv7O7j3wzX8Z14Wb98wifFpiYdc3tb27Hdb+L9P17Pw98e1q7myvlRR7WL+VudC1zfrs9lZUAHAwK7R+0cKjE9LaPT33ZRal5v1e0t4aW4WH67YTXWtm2kDU7h6ShpHD0g5rCGjWbll/OHDNXy3MYdhPWL589nDm+x93VdcyV88w/x6xnfhD2cM5cShXQ/6d+ByWy54ei5bc8v48vajA2L/roO56dWl/Ouyce0+aBoNvATcaq39thXL5FfGmBrgTmvto/WO7wRettb+rrHnd/agyVtVrYtFmQXOP+cN2WzNcbrT05OjmD4ohSHdYqmocVFWXUt5Vb37ahdlVZ77esfr9i3JSI7iykO4utOUksoaHv5yI/+Zm0ViVBi/P20IZ4/+8RX2Hfnl/PmTtcxYs4+0pEjuPXMY05u5L8YjX27ksa838fyV4w8YvhdIZq7P5uqXFvHaT4/s8CssNldxZQ1zNuV62nQOOSVVAIzsFcf0Qan0jI+grMpFeXUtZdUuyj1tuKF27N2+6z6GJ6QlcNXkdE4a1tWnPVk7C8q598O1fLVuHwO7RvPns0dwRPqPvwgu217AHz9cw8qdRRyRnsh9Zw1jcLemV8az1nLNS4uYvzWfL26f1uhFA3969Cvn7275H05s06FpgWxvUSXfbnQCqO8351JaVUtYcBBHpCcybWAyMRGhDX8WN9CWy6trKatyUVHjrJkUZOCkYd24anIaR6Qn+rQna9n2Au5+fzVrdhczbWAK95057EcX5Ky1fLpqL3/+ZC17iio5d0xPfnPq4GYFF2VVtZz06HeEBQfx6a1TA3I1OoBrXlrEtrwyvv7ldH8XJSBYa9mSU9cLlc3CzHxqXJaY8BCOGpDMZM8olLq22tzP6irP8vddQoM5f1wvrpzcl/6pvltsp66t3vfxGrJLqvjJEX349Uk/vmhbXevmxTnOhbAat+VnR/fjxqP7NWvu6ubsUk59fDbHD0nlX5cG5rxqay3j//wVS/9wYrsPmnKASJxV86qBkvpprLWBs5PaITqUoMkYcz1wPUCfPn3Gbdu2rS2K2u5syyvb3ws1b0ve/g8hcP65RoWHEBUWQmR4sHMfFkxUuHPv3EKICnfuh/WIZdphXt1pyupdRdz9vjOXY1JGEvefPZz+qdFU1rh49rut/HPmZoxx9gj66dT0Fo2lrq51c8YT31NUUcMXd0wLyOVt/+/Tdbw0J4sVfzzRJ4sJdDRut2XtnuL9Q0SWbS/Aex/SkCDjadPBRNbde7Xh/fee81P6JTOi16HN02iuL9fu494PnRXJzh/Xi9+eMpik6HDySqv4++freWvxTlJjwvn9aUM4c1SPFn3J3V1YwYmPfMfIXnG8+tMjA3I450XPzKOsupaPfzHV30UJSNW1bhZvy+dbz+f0xn0H7qcTHhK0/zO5/md1ZL12Hvv/7d15nFxVnffxz6+3pLN1OhtJVxJCIAtLSBrCJgyyCAmyJVERdJ5Rx0fHGXRcRhRRFHUcEEblcXAZRMdxFBUxBEQgoBBEJg0khCyQBJJOyEa2XrKn1/P8cW8llaK6uqpruXWrvu/Xq17dfevUqVO/Pn37nnvv75zqSmadelxOp3Pv7Ormfxre5DtPvk57Vzc3XnQSn7hoIv0qylm3cx9fe+RVnl/XxMljhvCNa0/lrDSvGP31jd387U9f4BPvPJGbryisdY/A+/wzvvEU186o41tzpwXdnIK0v62T59ft9vbTa3axfe+xOdzVleVH9sWxxxzH9G//68jB/Xj3tDE5PeGy73AH33vqDX7+vxsYNrCKW959MnPrvZO2f31jN197ZBXrdx3g0qmj+OrVp6Q9EcYPnlnHXQvXFmxe9Rs79nHZ9/7Cm9++KvSDptuApIWdc1/PQpsC5d+e94P4z6Lb87LrcEcXu/a1HdlBpXofc751dzt+/dImvv34Gg51dHHD2eN59vVdvNl0kHdPG82Xrzylz/dNL9/cytwfPl+w09tec89f6V9RzgOfOC/opoTCnoMd7G/vPHLQWAgz7yVysL2T7/95Hfc918ig/hXMqx/Lg0s3c7C9i4+cP4F/vnQSg/s4iL//hU3c8tDKgpzeNprP9HfnHl+UU9Lnws59h+nuhgH9yhlQWV6w08rv2Hv4mGUkzj9pOL95cTPVVeV8/vIpfPCc8X1u+82/X8EDSzaz4MbzOX3s0Ow2PEPLN7dy7Q+eL9op6bPNOce2PYepLDMG9KugurK8YHMwX92258gyEudOHMawgVU8tnJ7wgmm0tHR1c3cHz7P9j2HCzKv+n8Wb+TWh18N/6CpVPgTQWx1zt0Qs20csIkUJoLQoKk47d7fxr89tpr5L2/lxJEDue2a7KztFJ1FqNCmt917uIMZJZ7PVOxe37GPryxYxYsbmnnHicP5+jWnZry2k3POm952yx6eLLDpbRevb+KGn5R2PlOx+8vru/jqw94yEtfNHMsXZk/NeG2nvYc7uOy7z1I7oIpHPnlBQZ0M+c9n13P746Wdz1TMYpeRONzRxY0Xn8THL3z7BFPpem3bXq65569cM72u4BYZ/qdfLeWVTa0svuVdBTloSjsRxMyqgGnAMKAZWOmca892wwL0OHCTmQ12zkVvQXw/cAgo2lwuSW7EoH5897oZfPrSSYypqc7aP87PvmsyT766g5vnryio6W2XbGym28G5CWaWkuIw+bjB/Pbj59K4+wATRwzMypVeM+OOeacz6+6/8OWHVvHTDxXOmjENjU2UGZyVIJdLisOFk0ey8LMXsmNPW0aTAsUa0r+Sf5s7jY/+9xJ+uGgdn3nX5KzUmw0NjU2cNGqQBkxFqqzM+MA547ly2hjaurqy9ns+pW4I/3TRiXz/6XVcPb2Oi6cWRmaNc46GxmYumjKSxUE3pgdpHfn56xXtAF4EFgIvATvM7KYctC0oP8Zbj2q+mb3Lz1e6Dfhub2s0SfE7fvjArJ5p7F9Zzp3vPZ0tLYe4a+HarNWbqYbGZqrKyzijlxl8JNzMjBNHZndNtfHDB3DTrCk8vWYnD7+yLWv1ZmpxYxOn1tVoAogi16+iPGsDpqhLTz6Oa2fU8YNn1rFme2EcBnR2dfPSxhbOnaiTAMWuZkBl1gfGN15yEpOPG8QtD61k7+HCWHb1jZ37aT7QzrkTC/dkbcpHf2b2GeB24H7gYuBk4CL/59vN7J9z0L68c861AJcC5cAfgK8D3wO+FmS7pHidNWEYHzpvAv+9eCNLNjYH3RzAu5VpxvihBTtjlBS2D71jAmceX8ttf3j1yAyDQTrc0cUrfm6ASF987epTGdK/ki88uILOru7eX5Bjq7btZX9bZ0EfYErh6ldRzp3vnc6OvYe5/bE1QTcH8K6cApxXwH06nVPmNwJ3OOdudM79xTm31v96I/BtoCgGTQDOudecc5c456qdc2Occ7c657qCbpcUr5tmTSEytJovPLiCwx3BdrU9hzp4ddse/TOWPisvM779ntM52N7F1x5ZFXRzeHlTC+1d3erT0mfDBlbxjWtPY8WWPdz31w1BN+fIAeY5J6hPS9/MGDeU//s3E/n1i5v433W7g24ODY1NRIZWM7a2cHJh46UzaBoHPNPDc4uAwl5iWKSADexXwR3zTqdx9wHu/tMbgbYlms9UyGd7pPCdNGoQn3nXJB5buZ3HV74VaFsaGpuVzyQZe/e00cw69Ti++9TrrN+1v/cX5FBDYxOTRg0q6EVKpfB97rLJnDBiIF+cv4KD7Z2BtaO728tnOnfi8ILJg00knUHTJuDyHp67zH9eRProgkkjeP/McfzkuUZWbGkNrB0NjU1UVZRRP35oYG2Q4vDxv5nIaZEh3Prwq7QcCG6+oIbGJk6L1BTkemgSHmbGN689jerKcr744Aq6u4OZfbizq5uXNjTryqlkrH9lOXfMm8bm5mDzqo/mMxX2ia10Bk3fBz5vZveZ2WwzqzezWWZ2H/A54P/lpokipeOWK09mxKAqvvDgCto7g7lvvqGxmfpxymeSzFWUl3Hne6bTerCdbz76WiBtOJrPpANMydyoIf259apTWPJmC79YvDGQNqzcuocD7V3q05IV50wczt+ddzw//9/g8qqjt5sWep9OedDknLsH+AdgNvAYsARveu7ZwCeccz/ISQtFSkhNtTe97Zrt+/jhonV5f3/lM0m2nVI3hH+6+CTmL9vKM2t25v39X34zms9U2GcwJTzec0aEd04eyZ0L17K5+WDe37+h0TuwPUd9WrLkC7OnUldTzRd+H0xedTSfadyw7M58mW1pzZ3snPsJXm7T8cB5/tdxzrn7ctA2kZIU5PS2L23w12fSoEmy6JMXBze9bXR9ppkTdIAp2WFm/Nu8aZSZcfP8FTiX39v0ovlMmS7cKxI1qF8Ft8+bRuOuA/y/P+c3r9rLZ2oKxXFH2gvOOM9m59yLzrnNQE0O2iVS0oKa3lb5TJILVRVlgU1v29DYzDTlM0mWRYZWc/MVU3l+XRO/fWlz3t63o6ubJRubOU8Lj0uWXTh5JNfNHMu9f2lk5ZY9eXvf13fuo+VgRyj6dDrrNP2jv7ht9OcZZrYFaDKzpWam2fNEsiR2etuf5nF624YNTZyh9ZkkB2aMG8rH8jy97aH2Ll7ZrHwmyY0PnD2ecycO41t/XM32PYfz8p6rlM8kOfTlK09h+MAqbnpwed7yqhvWR6fPL/y7AdK50vQpIPZeoe8D24AP+vXckcV2iZS86PS238nT9LZePtNe/TOWnPlsnqe31fpMkktl/npkHd3dfPmhlXm5TW+xnzB/dggOMCV8aqor+ZafV/2jRevz8p4Njc2MrS38fCZIb9A0HlgLYGYjgfOBLzjnfgN8E7gk+80TKV2x09ve/PvcT2/74oZmnPKZJIf6V5bz7fecnrfpbY/mM9Xm/L2kNB0/fCCfv3wKf16zk4df2Zbz92tobGbyccpnkty57JTjuGZ6Hfc88wZrt+/L6Xt1dzte2BCOfCZIb9DUBlT5318MHASe839uBoZmr1kiAt70tl+96hRe2tjCr154M6fvFc1nmjFuaE7fR0rb2ScM40P+9LbLNrXk9L0aGpuYFqlhsPKZJIc+cv4J1I8fym1/eJXmHK5HFs1nCssBpoTXbddE86qX5/QK6todXj5TWPp0OoOmF4EbzexU4J+BJ5xz0XkJJ+LdqiciWTbvjAgzj6/lZ89vzOnOq6GxiTPH1yqfSXLuC7OnUlNdyc//d2PO3uNIPlMIkosl3MrLjG/NmUbrwQ4eWrY1Z++zcuseDrZ3cV5IDjAlvIYNrOKmWVNYvmUPL+fw5NbR9ZnCcbtpOoOmfwFOBVbiTTv+5Zjn3g88n8V2iYjPzLhu5jg27D7A8hzNaLPnYAevvaV8JsmPgf0quHLaGBa+up39bbnJbVr6ZgsdXU59WvLilLohnBYZwoIcDpoWr1c+k+TPVdPr6F9ZltMTAQ2NTYwbVs3Y2sLPZ4L0Frd9zTl3IjASmOCcez3m6c/7DxHJgdnTRtOvooyHXt6Sk/pf3BjNZ9I/Y8mPufURDnd08+Sr23NSf0NjE+Vlxszjlc8k+TG3fiwrt+5h3c7c5IE0NDYx5bjBDFc+k+TBoH4VXH7KaB5d8VZOZtLz8pmaOfeE8JzY6ss6TU0u7h4h59xK59yu7DVLRGIN6V/Ju045jj+seIuOHKzbtHh9E/0qypih9ZkkT848vpZxw6pzdhazobGJ05TPJHl09fQxlBk56dNePlOLTmxJXs09I0LrwQ4Wrd2Z9brX7thHa4jymSDNQZOZTTCzr5jZL8zsgfhHrhopIjB3RoTmA+0890b2z080NDZx5vG19KtQPpPkh5kxd0aE59ftZsfe7K5xc7C9k+VbWpX7IXk1anB/Lpg0kgXLtmV9ttMVW/ZwqKMrFAuASvH4m5NGMGJQFQteyf6JgOjtpmHKO01ncdszgVfx1mX6IDAJmAm8FzgXGJGLBoqI551TRlI7oJL5L2d359V6sJ3V25XPJPk3pz5Ct4NHsjxV88tvtvr5TDorL/k1rz7C1tZDvLSxOav1NhxZn0n7acmfivIyrp5ex59W72TPoY6s1t3Q2MT4YQOIDK3Oar25lM6VpruA3wGnAQZ81Dk3EbgAcMCd2W+eiERV+juvp17bwb7D2dt5aX0mCcrEkYOYPm5o1m9nWty428tnmqBBk+TX5acex4Cq8qyfmW9obGLq6MEMG1jVe2GRLJpbH6G9s5vHV76VtTqP5DOF7MRWOoOmGcCvgWhCRX8A59z/Al8H7shqy0TkbebUR2jr7ObxVdlLnm9obKZfRRnTx9VkrU6RVM2dUcdrb+3N6iKKDY3NTIvUMKhfRdbqFEnFgKoKZp/qJc8f7ujq/QUpaO+M5jPpxJbk37RIDRNHDmR+Fk9urdm+jz2HwpXPBOkNmhzQ7k8CsRM4Pua5zXi364lIDtWPG8qE4QOyOq3tYuUzSYCunl5HeZll7WrTwfZOlm9uDd0/Yykec+oj7DvcyTNrspM8v3JrK4c6ukJ3Vl6Kg5kxrz7Cixua2dJyMCt1Hl2fKVz76XQGTa8BJ/rfLwY+a2aTzOx44AvA+mw3TkSOZWbMqY+wuLGJt/Ycyri+1oPtrNm+VwnzEpjhg/rxzskjefiVrVlJnl/6Zgud3U4J8xKYd5w4nJGD+2XtREBDo5cfdY7ymSQg186IAPBwlvJPFzc2cfzwAdSFKJ8J0hs03QuM9r+/BRgDrAEagXPQOk0ieTG3PoJz2dl5vRDNZ9IBpgRobn2Et/YcpmFDU8Z1LV6v9ZkkWBXlZVw7vY5n1u6k5UB7xvUtXu/lM9Uqn0kCMm7YAM6eMIz5L28hbtWhtHV3O14M2fpMUeksbvs/zrl/9b9fDZwMzAbmAic5557MTRNFJNbxwwdyxvihWblFr6Gxif6VZZw+VvlMEpx3nXwcg/pVZK1Pnz62hoHKZ5IAzamP0NHl+GOGyfPtnd0sebM5dLcxSfGZUx9h/a4DvLptb0b1rN6+18tnOjF8t5umvbhtlHNuv3PuKefcI8657K96JSI9mlsfYc32fbyW4c6robFZ+UwSuOqqcmafNprHV27PKHn+QFsnK7bs0QGmBO7UuiFMPm5QxrfordjSyuGObvVpCdyV08ZQVV6W8bInYb7dNN3FbU83s9+a2XozazOzM/zt3zKzK3LTRBGJd9XpdVSUWUbT2rYcaGf1W3tDeYlcis+8+gj72jr50+odfa4jms+kA0wJWjT/dOmbLWxq6nvyfENjE2ZwzgnhOysvxaVmQCWXTB3FI8u30dnV3fsLetAQ0nwmSG9x2yuApXh5Tb8AKmOebgM+ld2miUhPagdWcdGUUTz8yla6+pg8/8IG72yPEualEJwzcTijh/TP6Ba9hsYmKpTPJAVijp88n8nJrYbGZqaOHqJ8JikIc+oj7N7fxl/X7e7T67u6HS80NoV28ql0rjTdDvzcOfdO4Ftxz72Ct46TiOTJvDMi7NjbxuL1fUueP5rPNDS7DRPpg/Iy49r6Ohat3UXT/rY+1bFY+UxSQOqGVnPuxGE8tGxrn5Ln2zq7/HwmXWWSwnDx1JHUVFf2+eTW6rf2svdwZ2jvBkhn0DQV+K3/ffxf/15Af9UieXTJ1FEM7lfB/GVb+vT6hsYmZh4/jKqKPqc2imTV3PoInd19S55XPpMUorn1ETbsPsDyLXvSfu2KLXuUzyQFpV9FOVeePoaFr+7gQFtn2q+Prs90TkhPBKRztLQTmNjDc6cCmzJvjoikqn9lOe+eNoaFq7ZzsD29nVfLgXbWbN+nM5hSUKaOHsLU0YP7lGi85M0WupTPJAXmimljqKoo46GX0z+51bBe+UxSeObWRzjU0cXCV7en/dqGxmYmDB/AmJrw5TNBeoOm3wDfMLMLYrY5M5sMfBH4VVZbJiK9mntGhAPtXTz1WnrJ8y/46+Eon0kKzbwzIryyuZUNuw+k9boj+UwTlM8khWNI/0ouO/k4/rDiLTrSTJ5v2NDEyaOHMHSA8pmkcMw8vpaxtdVpzwzZ1e14cUNTqI870hk03QosAZ7l6FWlh4FVwArg37LbNI+ZLTIzl+DRP65cxMweMrN9ZrbbzO4xswEJ6vuYmb1hZofNbKmZXZqgTEp1iQTt7AnDiAxNf+fV0NhMdWU50yJDc9MwkT66ZnoEM9K+Z76hsYnp44YyoEr5TFJY5tZHaD7QznNv7Er5NW2dXSx9s0VXTqXgmBlz6yM8v243O/YeTvl1Yc9ngvQWt21zzl0FXA78N3AfcD9wpXPuKudcR47aCPAMcF7c40imsJlVAguB44HrgU8D7wPuja3EzG4Afow3+98VwKvAo2Z2Wrp1iRSCsjLj2hl1PPfGbnbtSz15vqGxiZkTapXPJAVndE1/zj9xBAteST15fv+RfCbdxiSF58LJI6kdUJnWbafLN0fzmdSnpfDMqY/Q7eAPy7el/Joj+UwhXuYk7SMm59yfnXO3OOc+7py72Tn3VC4aFqfZOdcQ94j9b/pe4GTgPc65PzrnfoU3BfoHzGxSTLnbgP92zn3TOfcM8GFgHXBzH+oSKQhz6yN0dbuUd17NR/KZwrvjkuI2pz7Cm00HeXlTa0rll2xsVj6TFKyqijKunl7HU6/tYN/h1M4vR9dnOlv5TFKAThw5iOlja9I6EdDQ2MQJIwYyuqZ/74ULVJ9OM5vZADP7lJn9wMxuNbPjs92wNF0BvOSc2xCzbQHQDswGMLOJwGTggWgB51w38Dv/9SnXJVJIJh03mFPrhqS8FsiLfj6TzmBKoZp92mj6V5bxUIozQzY0NlNZbpyp9ZmkQM2pj9DW2c3jq1JLnm9oVD6TFLY59RFee2sva7fv67VsV7fjhQ3hnz4/6aDJzL5jZq/HbRsMvAzcDbwf+Cqw3J8QIlcuN7OD/mOhmZ0e9/xUYE3sBudcO7Def46Yr8eUA1YDw8xsZBp1iRSUufURVmzZw7qd+3stu3h9E9WV5VqfSQrWoH4VXH7KaB5d8Rbtnb0nzzc0NjF9rPKZpHDVjxvKhOEDUsrVi+YzhTlhXorf1dPrKC+zlHKqV7+1l30hz2eC3q80XQz8Mm7b5/Gu2HzMOTcCqAM24k0UkQvP4uUVzQI+DowHnjOzCTFlaoHWBK9t8Z8j5mt8uZa451OpS6SgXDO9jrIUk+cbGpuZOaGWynLlM0nhmlsfofVgB8++njx5fn9bJyu3an0mKWxmxpz6CIsbm3hrz6GkZV/Z1Epbp9ZnksI2YlA/Lpw0godf2Up3d/L808Xro3e4hLtP93bUNAFYGrftPcBrzrmfATjndgHfAc5P5Q3NrMbMpvb2iJZ3zn3NOfdfzrnnnHO/xBvIOeAzKX3CPDCzj5vZEjNbsmtX6rPjiGTLqCH9uWDSSB5alnzn1bS/jbU7lM8khe9vJo1g+MCqXm/Re0n5TBISc2ZEcA4efiV5/mlDY7OXzzQh3LcySfGbe8ZY3tpzmAb/tv+eNDQ2MXHEQI4bEt58Juh90FQBHJlP0MyG4U2S8HRcuY3A6BTf8314t8T19kjIObcdeB44I2ZzC1CToHgtR68kRb/Gl6uNez6VuuLbdK9zbqZzbubIkSMTFRHJubn1dWxtPcSSNxN2UwBe3NAMhP9sjxS/inIvef5Pq3ey51DPyfMNjU1UlhtnHD80f40T6YMJIwZyxvihvd4R0NDYxCljhlAzoDJPLRPpm8tOPo6BVeVJ+7S3PlMz5xTBcUdvg6bXgYtifr7K/7owrtwooDmVN3TO3eecs94evVXjP6LWEJdvZGZVwESO5idFv8bnJU3Fm51vV0y53uoSKTiXnzKa6srypPcXNzQ2MaCqnNPHJjovIFJY5tZHaO/s5vGVb/VYpqGxWflMEhpz6yOs2b6P17btTfj84Y4uXt6k9ZkkHKqrypl92hgeX7mdwx1dCcu8tm0v+9o6Qz8JBPQ+aLoHuNnMvm9mXwbuAjYAT8aVuxxvkducM7PRwAUce9vg48BZcbP4XQP0A54AcM414g0C3xdTV5n/8+Pp1CVSiAb2q2D2aaP544ptPe68Fjc2MXPCMOUzSSicPraGiSMH9ngiYN/hDlZt3aOEeQmNq06vo6LMepztdPlmL5/pPA2aJCTmnRFhX1snf1q9I+Hzixt3AxRFn0565OSc+zne7HjzgC8Ba4G5sQvZ+rPOXQs8nO3GmdnpZvZHM/uwmV1sZh8CFgHdeLP3RT2IdxVovpm921/E9h7gfufcGzHlbgM+YmZfMbOLgZ8Bk4A7+lCXSMGZUx9h7+FOFq3d+bbndu9v4/Ud+4vibI+UBjNj7owIL2xoZkvLwbc9v2Rji/KZJFRqB1Zx0ZRRPPzKVroS5J8u9tdnOkvrM0lInDtxOMcN6dfjLXoNjc1MHDmQUSHPZ4IU1mlyzt3unBvrnBvknLvQObcy7vldzrnRzrkf5aB9TYABt+PdEvhd4FXgHc65TTFt6MBbQ2kz3jpM9wC/x5ttL7atvwY+gbeo7RPA6cBVzrlV6dYlUojOP3E4Iwf3S7jgnPKZJIzm1EeAxMnzR/KZxmtiUwmPufURduxtOzKjWKyGxiZOrRtCTbXymSQcysuMOTMiLFq7i6b9bcc819nVzUsbmovmuKOg79Fxzm11zr3bOTfGOVflnBvunHuPc+5tuUXOuS3OuTn+4G64c+5G59zbTk06537inDvJOdfPOXeGc+7Pfa1LpNBUlJdxzfQ6nlm7k9aD7cc8F81nmhZRPpOEx7hhAzhrQi0PLduKc8eemW9obGLGuKFUV5UH1DqR9F168igG96t4222nXj5TK+eeUBwHmFI65tRH6Ox2/DEu//S1t6L5TMXRpwt60CQi6ZtbH6Gjy/HoimN3Xg3KZ5KQmls/lnU79/NqTPL8vsMdWp9JQql/ZTnvnjaGJ1a9xaH2o/mnr2xupV3rM0kInTxmCFNHD37bXS4Njf76TEVyu6mOnkSKzKl1Q5g0atAx9xdH85mKIRFTSs+V08ZQVV52zJn5JRtb6HbFkVwspWfuGREOtHfx5Gvbj2xraGyiTPlMElJz6yO8srmVDbsPHNm2eH0TJxZJPhNo0CRSdKIrzy95s4VNTd5dpS80RvOZ9M9YwqdmQCUXTx3Jw69so7OrG/AS5qvKy6hXPpOE0NkThhEZWn3MiYDF65s4ta5G+UwSStfMqMOMI326s6ublzYW1/T5GjSJFKFo8nx0WtuGxiYGVpVzmvKZJKTm1o9l9/42nveT55XPJGFWVmZcO6OO597Yza59bRzu6GLZ5lad2JLQGlNTzTtOHM4CP//01W172V9E+UygQZNIUYoMreacE4Yd2Xkpn0nC7uKpI6mprmTBsq3s9ddn0gGmhNnc+ghd3Y5HV2xj2SblM0n4zZkRYVPzQV7e1Hokn+mcItpP6whKpEjNOyNC4+4DPL1mJ2/s3K8FQCXU+lWUc+XpY3hi1XaeXbuLbgfnqk9LiE06bjCn1g3hoWVblc8kRWH2aaPpX1nGQ8u20NDYxEmjBjFqcHHkM4EGTSJFa/ZpY6iqKONrj7wKaH0mCb+59REOdXTx7SfWUFVepvWZJPTm1kdYsWUPv395C6dFahjSX/lMEl6D+1dy2SmjeXTFW34+U3GdBNCgSaRI1VRX8q6TR7Gl5ZCXz1Q3JOgmiWTkzPG1jK2tZkvLIWaMH0r/SuUzSbhdM72OMoMtLYd0YkuKwtz6OloPdhRdPhNo0CRS1ObWjwW8Wz4qlM8kIVdWZsz1Jzkptn/GUppGDenPBZNGAprdVIrD30wayfCBVQCcU2QLNesoSqSIvXPySKZFarhmel3QTRHJivedOY7xwwYw+9TRQTdFJCs+cv4EThw5kLOL7ABTSlNleRl/f8EJXDp1FCMH9wu6OVllzrmg21BUZs6c6ZYsWRJ0M0REREREQsfMljrnZgbdjni60iQiIiIiIpKEBk0iIiIiIiJJaNAkIiIiIiKShHKasszM9gFrg25HCRgB7A66ESVCsc4PxTl/FOv8UJzzR7HOPcU4f6Y45wYH3Yh4FUE3oAitLcTktWJjZksU5/xQrPNDcc4fxTo/FOf8UaxzTzHOHzMryBnVdHueiIiIiIhIEho0iYiIiIiIJKFBU/bdG3QDSoTinD+KdX4ozvmjWOeH4pw/inXuKcb5U5Cx1kQQIiIiIiIiSehKk4iIiIiISBJFO2gys5PM7D/NbIWZdZnZogRlhprZz8ys2cz2m9njZnZSgnJz/HrazGyDmX2uh/ecZmaPmtkeM9tnZi+a2ZkptNXM7BYz22xmh8zsL2Y2I93PE4QijPMiM3M9PM5LPTK5kc94m9lFSWKxMIW2hrJfF2GMC7ZP53v/YWZjzOy/zGyrX9cyM/tgim0NZX+Gooyz+nSadfXQVvVpCibOBdmnzex9ZvZIzN/yUjO7IUG5j5nZG2Z22C9zaYIyETN7yLzjtt1mdo+ZDehLXUnam/S1ZjbSzL5v3nFju5ltTLVuAJxzRfkArgU2A78DVgOLEpRZCGwF/g9wDfAi8CYwJKbM+UA3cB9wOXAr0AF8Jq6uGcA+4JfAbP9xK3BBCm39EnAI+CTwLuAxvLUARqfzeRTnrMT5FODcuMeTwC6gopTiDQxJEIvrABf/eymmfl2EMS7YPp3nWJcBLwGNwAeBS4Ef+bGeV6z9uUjjrD6dRl3q06GIc0H2aWAxcD/e/6VLgH/3/5Y/FVPmBqDLj93FwC/8z3taTJlKYBXwMnAl3r5hB/DLuPfrta4kbU2lHTP8933E/x1uTCseQXf8HP6iy2K+fzD+Dwo4z//FXxqz7TjgIPD5mG0LgefiXvsdoBmoitnWANzfh3b2B/YAX43ZNtD/Q/nXVD+P4pydOCd4XZXfhh8FHesg4p3g/W/yd0p12Yh3IfbrYotxgtcVTJ/OZ6yBqX5dV8eVexn4bbH252KMs/r0kVinVJf6dOHHuVD7NDAiwbb7gQ0xP68Ffhb7uwFWEjMg4uiA5oSYbdfhDVgnpVNXkram0o7YfvPvpDloKtrb85xz3b0UmYF3NmFRzGt2AMvxRsGx5Z6Ke+2TQC3eHxJmdgpwDvAffWjqO/DONj8Q044DwB+AK2K29fZ5AlFscU5gtt+GX/fhPbMun/HuwQ3As865bb20I7T9uthinEDB9Ok8x7rS/7onrlwrYL20I7T9GYovzgmUap9Ota5E1KePlgs8zgkURJ92zu1OsHkZUAdgZhOByRz7+brxrgDGfr4rgJeccxtiti0A2vE+azp1vU2qr820PxftoCkF/YEu51xX3PZ24OS4cu0JyhBT7hz/a62ZLTezTjNbb2YfTaEdU/FG32/EbV/tPxd2YY/z9cAW4LkU3qMQZDPexzCzyUA9qe3Ei7lfhz3GYerT2Yz1KuAF4BtmNsnMhpjZh/Fuz/lxL+0o5v4M4Y9zqfbpVOtKRH36aLlCjHMh9+nzgNf976OfYU1cmdXAMDMbGVPumDLOuXZgfUwdqdaVSCavTVkpD5rWAf3NbFp0g5lVA6cBw+LKnRX32rP9r9Fyo/2vvwB+BVwGPAHcZ2bv7qUdtcD+BH+MLcAAM6tK4bMUstDG2U9QvAZ4wPnXckMgm/GOdz3e2bbfp9COYu7XoY1xCPt01mLtf94r8P7vvY53JeRe4O+dc0/30o5i7s8Q4jiXcp9Oo65E1KePliuoOBdyn/YnVpiDdwsjeJ8PvCvJsVrinq9NUCZarjaubG91JZLJa1NWyoOmhcAG4D/NbIqZjcE7C1aDd49l1I+BOf6MHLVmNguIzqwSLRe95eA+59ydzrlnnHM3As/gJQBGZ0+piHmU5/jzFYowx/lqvHuPA7/lIw3ZjHe864EnnXPN0Q0l2q/DHOOw9emsxdrMyvBOuAwH3o+XKHw38FMzi94eUor9GcId55Lt06nUpT4dyjgXZJ82swl4+UwPO+d+HmA7AuvPJTto8i8LXo+XzLcG2AZMxNvZb48p+jO8mX9+hJeUNx/4pv9ctFx0JPtM3Ns8jTcjCsA78c4gRx9/jnntoAS/+FrgoN/O0Ap5nK8H1jnnlvT6QQtEluN9hJlNx7sNIX4nXnL9OuQxDlWfznKsr/Ifc5xzDzjnFjnnvgA8BNzplym5/gyhj3PJ9ukU61KfDl+cC65Pm9kw4HG8GQNjlw+IHpfVxL2kNu75lgRlouVa4sr2WJc/cIuN8/o025GRimxUElbOuRfNm2d/MtDpnFtvZo/izdAWLdMFfNLMbgXG4p1tiN47GS232v8an+RqHD1TsZRjLwHv87+uAcqBk/Bm/oh62/2fYRXGOJtZDd4tJnfGP1foshjvWNfjTd35cNz2kuzXYYxxWPt0FmM9Fe8gJT63YBnerTBQov0Zwhln9emU6lKfDlGcC7FPm3e74KN4M/pd5Zw7GPN09DNMxRtQEfNzs3NuV0y5qTHPY96tiRM5muvYa11mtodj49yWZjsy4wKcyjBfD1KcJhOYBBwGLuul3M+A52N+jk4NeWdcuUXAn3qpqz/ePd9fidk2ANhJD9NRpvp5FOe+xxn4MN4UoycHHdeg4h333AZ6mS44k3in83kU477FuND7dB72H+/3P/+UuHK/BV7NZqzT+TyKs/p0NvYffahLfboA41xofRrv4sof8aZIn9RDmbV4aRPRn8uAFbx9yvFO4PiYbe8l8ZTjSetK0ta0Xksfphwv2itN/sg4OjlABBhiZu/1f37MOXfQP7OwBm+RsWl4C2L9xjn3VEw95wIXAK/gTRt5AzDL3wZ4l27N7BvAnWbWirew33uAC/Eu2fbIOXfYzO4AbjWzFr89n8P7ZR+ZWjuVz5NiaLKq2OIc43pguXNudYLnApPPeMeVnQB8NtV2hrlfF1uMYxRcn85zrB8DNgEL/P3ILrzpgq8DbkzWzjD351TbFaY4xyj1Pk0qdSWiPn2knoKIc4xC69M/xIvzp4HhZjY85rllzrk24Dbgl2a2EXge+BDeoPIDMWUfBL4MzPdjWQN8D2/dzdir0qnU1ZOUXhvTTybjTcYR/flZ19sVqaBHsbl64B2AuB4eE/wyd+Ot8NyGNzvKF4lbeRk4E+/gfD+wF2/EPa2H9/wc3tnidrwFtXpd/dx/neF1pi14t+c8B9Sn+3kU58zj7JcbgXev7M1B9+MCiffdeDPS9EuzraHs18UW40Lu0/mONd4tMr/Dy0nYj7fOyj8AVqz9uRjjrD59TLle61KfLvw4F2qfBjam8vsHPubHpQ1vIetLE9Q1Fm9tpv1AE/ADYECCcr3WlaS9qbSjp89zUW/1m1+BiIiIiIiIJFCys+eJiIiIiIikQoMmERERERGRJDRoEhERERERSUKDJhERERERkSQ0aBIREREREUlCgyYREREREZEkNGgSERERERFJQoMmERERERGRJDRoEhERERERSUKDJhERERERkSQ0aBIREREREUlCgyYREREREZEkNGgSERERERFJQoMmERERERGRJDRoEhERERERSUKDJhERERERkSQ0aBIREREREUlCgyYREREREZEkKoJuQLEZMWKEmzBhQtDNEBEREREJnaVLl+52zo0Muh3xNGjKsgkTJrBkyZKgmyEiIiIiEjpm9mbQbUhEgyaRIrZg2VbuWriWba2HqBtazU2zpjCnPhJ0s0RERERCRYMmkSK1YNlWvjR/JYc6ugDY2nqIL81fCaCBk4iIiEgaNBGESJG6a+HaIwOmqEMdXdy1cG1ALRIREREJJw2aRIrUttZDaW0XERERkcQ0aBIpUnVDq9PaLiIiIiKJadAkUqRumjWF6sryY7ZVV5Zz06wpAbVIREREJJw0EYRIkYpO9qDZ80REREQyo0GTSBGbUx/RIEmKiqbRFxGRIGjQJCIioaBp9EVEJCjKaRIRkVDQNPoiIhIUDZpERCQUNI2+iIgERYMmEREJBU2jLyIiQdGgSUREQkHT6IuISFA0EYSIiISCptEXEZGgaNAkIiKhoWn0RUQkCLo9T0REREREJAkNmkRERERERJLQoElERERERCQJ5TSJiIiISEoWLNuqyVikJGnQJCIiIiK9WrBsK1+av5JDHV0AbG09xJfmrwTQwEmKnm7PExEREZFe3bVw7ZEBU9Shji7uWrg2oBaJ5I8GTSIiIiLSq22th9LaLlJMNGgSERERkV7VDa1Oa7tIMVFOk4iISC+U/C49KaW+cdOsKcfkNAFUV5Zz06wpAbZKJD80aBIREUlCye/5E7YBSKn1jehnCtPvSCRbzDkXdBuKysyZM92SJUuCboaIiGTJ+Xc8zdYEORuRodU8f/MlAbSoOMUPQMC7inH7vGkFe1CuviGSfWa21Dk3M+h2xNOVJhERkSSU/J4fyWZmS2XQFMRVKvUNkdKhQZOIiEgSdUOrE15NUPJ7dmUyAAnqNjn1jeIXtltGJXc0e56IiJSEBcu2cv4dT3PCzX/k/DueZsGyrSm97qZZU6iuLD9mm5Lfe9bXOGcyM1tQ6wepbxS36GB8a+shHEcH46n2aSkuGjSJiND3Az0Jh0wOfubUR7h93jQiQ6sxvHyVQs6zCVImcc5kABLUbXLqG8VNi/lKLN2el4CZnQL8B3Ae0ArcB3zdOdeV7HUiEqy+3kZRajNglaJM82Xm1EdKqi/09W8pkzhnMjNbkLfJlVrfKCXKWZNYGjTFMbNa4E/Aa8C1wInAd/Cuyn0lwKaJSBKZDHwyPaAuNWG8x18HP6nL5G8p0zj3dQCi9YOKXxD7HeWsSaxeB01m9nfpVOic+0Xfm1MQPgFUA/Occ3uBp8xsCHCbmd3pbxORApPJwEcH1KkL61U5HfykLpO/paDirPWDiltQ+x0NxiVWKleafh73c3RhJ0uwDSDsg6YrgIVxg6PfAN8G3gn8IZBWiUhSmQx8gjygDttVm7BeldPBT+oy+VsKMs6leJtcJvuPMO17gpqOXoNxiZXKoGlwzPdTgQeAnwLzgZ3AKOA9wN8D12W7gQGYCjwdu8E5t8nMDvrPadBUooL65xSmf2xBymTgE9SBXhiv2oT1qpwOflKXyd9SWOMcxv1sJvuPoPY9fY1zkNPRl+JgXBIz51zvpaKFzRYBf3DOfSfBc/8CXOOce2f2mpd/ZtYB3OScuztu+xbgF865W5K9fvDgwe7MM8/MYQslCPuHT6Vp4mxceeWRbdbVwfDGJxjUtKYgX1tqMo3V/uFTaRl/IV1VQyhv30vtpr+kHOO+vnZz/cfp6lfztu3lbXsYt+zelN4738LY5rDKpE9m+r6ltN8J6+fN5G8xiL/jTOIcts8qmXn22WeXOudmBt2OeOlOOX42sKqH51YBZ2XWnHAys4+b2RIzW9LR0RF0cyQHWsZfeMyOHsCVV9Iy/sKCfW2pGdS0huGNT1Detgeco7xtT1oHPYOa1jBu2b1MeOHfGbfs3rQGTE0TZ3v/lM3o6ldD08TZ7B8+tdfXdlUNSWt7Iajd9Bes69j9nHV1ULvpLwG1qDhl0q8ylenfUtiEdT+byf4jiH1PJnHOZL8Txv2sFKZ0Z8/bDHwEWJjguY8CWzJuUfBagLefkoBa/7m3cc7dC9wLMHPmTLdo0aKcNU76LpPbL064+Y8Jt3f3q6G333dQr81UGG9XebsP5Pwdzr/jaVzcLSKuvJJ+Z13Hopsv6fW1iW6DitQOSOn3G9Tv6O3vO4M59XNy/r6lJJN+lRu5/1sKSpD72Uxksv/IdN/TF5nGua/7nSA+q2TGzHovFIB0B023AL8xs1XAIxzNaboGL9/n/dltXiDW4H2WI8xsHDDAf05CKNN7mjO5xz+o12YijLk2QQkqaT7T31EmAy7d4597Yc0dC6OwzqyYyf4jiDzOTOOs6eglaGndnuec+z1wDt4aRjcAt/tfXwPO8Z8Pu8eBWWYWOwHG+4FDwLPBNEkylemq3pmsVB/UazOhVdBT19M//FST5m+fN43I0GoMiAyt5vZ50zJeRLQ30QHX1tZDOI4OuBYs29rrayU/MulX4P2Oz7/jaU64+Y+cf8fT+t0mEdR+NlOZ7D8yeW1fBRXnID6rFKe0F7d1zr1MccyS15MfA/8MzDezbwMTgduA72qNpvDKxoKL0LcZoYJ6bSaCOssdxlsCMz2L2dezp5n8jsI6bXgpCfIqZKkJ64x/kNlV33xfMQ4yzro6LtmQ9qCp2DnnWszsUuAevOnFW4Hv4Q2cJKSycftFUP+cgtjZB3G7SlgP9II6EMjkd6Rbv/IniPVhNChOnw6q80NxljDrddBkZg8AX3LOrfe/T8Y550Kf1+Scew0IItNWckT3NKcn03j15UAxzAd6QRwIZPI7CjqHI4xXFPsiqPVhNCgWEcm+VHKaRgLROSJH+T/39BiVgzaKZEz3NKcnk3j1NV9GB3rpyeR3FGQORynlUwWVG5hpPpSIiLxdr1eanHMXx3x/UU5bI9ILzfiVP32NV1+vGAV99SOM+vo7CjK3IMxXFNMV1IkAXVkXEcm+rOQ0mdlQ51xrNuoS6UlYc15KTV8PFHWgl19BnUQopSuKQZ0ICPPEBiIihSqtQZOZ/SMw2Dl3p//zDOBRYIyZvQJc65wrhgVupQCV0hnqMOvrgaIO9EpDKV1RDPJEgK6si4hkV1rrNAGfAmKn3f4+sA34oF/XHVlql8jblNIZ6jDLJF9mTn2E52++hA13XMnzN1+ig74iFNY1cfpCuZQiIsUj3dvzxgNrAcxsJHA+cKlzbpGZteNN0y2SE6V0hjrMdMVIkim1/qErPiIixSHdQVMbUOV/fzFwEHjO/7kZGJqdZom8nXJewkMHipKM+oeIiIRNuoOmF4EbzWwL8M/AE8656BHsRLxb9URyotTOUIuIiIhIYUh30PQvwB+AlcBm4O9jnns/8HyW2iWSkM5Qi4iIiEi+pTVocs69BpxoZsOBZueci3n688D2bDZOREREREQkaH1dp6kZGGtm44DlzrkDzrmVWWyXiIiIiIhIQUh3ynHM7J+ArcCbeJNATPG3zzezz2S1dSIiIiIiIgFLa9BkZjcB3wV+AlwCWMzTi/DymkRERERERIpGurfn3Qh81Tl3p5mVxz23FpicnWaJiIiIiIgUhnRvzxsNLO3huW6gf2bNERERERERKSzpDprWAe/s4bkLgdcya46IiIiIiEhhSff2vLuBH5pZO/Cgv22UmX0U+BzwsSy2TUREREREJHDprtN0n5nVAl8Fvu5vfgw4BNzmnLs/y+0TEREREREJVNpTjjvn7gLqgCuAvwXe7f+81Mwez27zREREREREgpXSlSYzGwrMBsYBjcAjzrkn/efeB/wZqAfeyE0zRUREREREgtHroMnMpgFPAsfFbH7ZzN4D3A+cizcBxN8Cv81FI0VERERERIKSyu15/wbsBc4DBgAnA83AS8BpwIecc9Occ792znXnrKUiIiIiIiIBSOX2vJnAp51zL/g/rzWzf8S7Fe/jzrlf5qx1IiIiIiIiAUvlStNxwMa4bdGfl2ezMSIiIiIiIoUm1dnzXA/bO7PVEBERERERkUKU6jpNC80s0QDpz/HbnXOjMm+WiIiIiIhIYUhl0PT13ouIiIiIiIgUp14HTc45DZpERERERKRkpZrTJCIiIiIiUpI0aBIREREREUlCgyYREREREZEkNGgSERERERFJQoMmERERERGRJDRoEhERERERSUKDJhERERERkSQ0aBIREREREUlCgyYREREREZEkNGgSERERERFJouAHTWa2yMxcgkf/uHIRM3vIzPaZ2W4zu8fMBiSo72Nm9oaZHTazpWZ2aYIyKdUlIiIiIiLFryLoBqToGeCWuG1t0W/MrBJYCLQD1wNDge/6X/82ptwNwI+B24C/Ah8BHjWzs5xzq9KpS0RERERESkNYBk3NzrmGJM+/FzgZOMk5twHAzDqA35jZ151zb/jlbgP+2zn3Tb/Ms0A9cDNHB0Sp1iUiIiIiIiWg4G/PS9EVwEvRQY5vAd7VotkAZjYRmAw8EC3gnOsGfue/PuW6RERERESkdIRl0HS5mR30HwvN7PS456cCa2I3OOfagfX+c8R8PaYcsBoYZmYj06hLRERERERKRBgGTc8CnwZmAR8HxgPPmdmEmDK1QGuC17b4zxHzNb5cS9zzqdQlIiIiIiIlIu85TWZWA4zprZxzbo3/9Wsxm58zsz/hXQn6jP8InJl9HG9Ax/jx4wNujYiIiIiIZFMQE0G8D/hJCuUs0Ubn3HYzex44I2ZzC1CToHgtsDymDH651rgysc+nUld8m+4F7gWYOXOmS1RGRERERETCKe+35znn7nPOWW+P3qrxH1FriMs3MrMqYCJH85OiX+Pzkqbizc63K426RERERESkRIQhp+kYZjYauABYGrP5ceAsMzs+Zts1QD/gCQDnXCPwOt6VrmhdZf7Pj6dTl4iIiIiIlI6CXqfJnyXvdrxpwd/EmwTiS0A3cHdM0QeBLwPzzexWvNvrvgfcH7eu0m3AL81sI/A88CFgEvCBPtQlIiIiIiIloKAHTUATXm7T7cBwYB+wCJjjnNsULeSc6zCz2cA9eOswtQG/AW6Krcw592szGwR8EbgVeBW4yjm3Kt26RERERDKxYNlW7lq4lm2th6gbWs1Ns6Ywpz4SdLNEJAFzTvMWZNPMmTPdkiVLgm6GiIiIFLAFy7bypfkrOdTRdWRbdWU5t8+bpoGTlDQzW+qcmxl0O+KFLqdJREREJOzuWrj2mAETwKGOLu5auDagFolIMho0iYiIiOTZttZDaW0XkWBp0CQiIiKSZ3VDq9PaLiLB0qBJREREJM9umjWF6sryY7ZVV5Zz06wpAbVIRJIp9NnzRERERIpOdLIHzZ4nEg4aNImIiIgEYE59RIMkkZDQlONZZmb7AE19k3sjgN1BN6JEKNb5oTjnj2KdH4pz/ijWuacY588U59zgoBsRT1easm9tIc4tX2zMbIninB+KdX4ozvmjWOeH4pw/inXuKcb5Y2YFueCpJoIQERERERFJQoMmERERERGRJDRoyr57g25AiVCc80exzg/FOX8U6/xQnPNHsc49xTh/CjLWmghCREREREQkCV1pEhERERERSaJoB01mdpKZ/aeZrTCzLjNblKDMUDP7mZk1m9l+M3vczE5KUG6OX0+bmW0ws8/18J7TzOxRM9tjZvvM7EUzOzOFtpqZ3WJmm83skJn9xcxmpPt5glCEcV5kZq6Hx3mpRyY38hlvM7soSSwWptDWUPbrIoxxwfbpfO8/zGyMmf2XmW3161pmZh9Msa2h7M9QlHFWn06zrh7aqj5NwcS5IPu0mb3PzB6J+VteamY3JCj3MTN7w8wO+2UuTVAmYmYPmXfcttvM7jGzAX2pK0l7k77WzEaa2ffNO25sN7ONqdYNgHOuKB/AtcBm4HfAamBRgjILga3A/wGuAV4E3gSGxJQ5H+gG7gMuB24FOoDPxNU1A9gH/BKY7T9uBS5Ioa1fAg4BnwTeBTyGtxbA6HQ+j+KclTifApwb93gS2AVUlFK8gSEJYnEd4OJ/L8XUr4swxgXbp/Mc6zLgJaAR+CBwKfAjP9bzirU/F2mc1afTqEt9OhRxLsg+DSwG7sf7v3QJ8O/+3/KnYsrcAHT5sbsY+IX/eU+LKVMJrAJeBq7E2zfsAH4Z93691pWkram0Y4b/vo/4v8ONacUj6I6fw190Wcz3D8b/QQHn+b/4S2O2HQccBD4fs20h8Fzca78DNANVMdsagPv70M7+wB7gqzHbBvp/KP+a6udRnLMT5wSvq/Lb8KOgYx1EvBO8/03+TqkuG/EuxH5dbDFO8LqC6dP5jDUw1a/r6rhyLwO/Ldb+XIxxVp8+EuuU6lKfLvw4F2qfBkYk2HY/sCHm57XAz2J/N8BKYgZEHB3QnBCz7Tq8AeukdOpK0tZU2hHbb/6dNAdNRXt7nnOuu5ciM/DOJiyKec0OYDneKDi23FNxr30SqMX7Q8LMTgHOAf6jD019B97Z5gdi2nEA+ANwRcy23j5PIIotzgnM9tvw6z68Z9blM949uAF41jm3rZd2hLZfF1uMEyiYPp3nWFf6X/fElWsFrJd2hLY/Q/HFOYFS7dOp1pWI+vTRcoHHOYGC6NPOud0JNi8D6gDMbCIwmWM/XzfeFcDYz3cF8JJzbkPMtgVAO95nTaeut0n1tZn256IdNKWgP9DlnOuK294OnBxXrj1BGWLKneN/rTWz5WbWaWbrzeyjKbRjKt7o+4247av958Iu7HG+HtgCPJfCexSCbMb7GGY2GagntZ14MffrsMc4TH06m7FeBbwAfMPMJpnZEDP7MN7tOT/upR3F3J8h/HEu1T6dal2JqE8fLVeIcS7kPn0e8Lr/ffQzrIkrsxoYZmYjY8odU8Y51w6sj6kj1boSyeS1KSvlQdM6oL+ZTYtuMLNq4DRgWFy5s+Jee7b/NVputP/1F8CvgMuAJ4D7zOzdvbSjFtif4I+xBRhgZlUpfJZCFto4+wmK1wAPOP9abghkM97xrsc72/b7FNpRzP06tDEOYZ/OWqz9z3sF3v+91/GuhNwL/L1z7ule2lHM/RlCHOdS7tNp1JWI+vTRcgUV50Lu0/7ECnPwbmEE7/OBdyU5Vkvc87UJykTL1caV7a2uRDJ5bcpKedC0ENgA/KeZTTGzMXhnwWrw7rGM+jEwx5+Ro9bMZgHRmVWi5aK3HNznnLvTOfeMc+5G4Bm8BMDo7CkVMY/yHH++QhHmOF+Nd+9x4Ld8pCGb8Y53PfCkc645uqFE+3WYYxy2Pp21WJtZGd4Jl+HA+/EShe8Gfmpm0dtDSrE/Q7jjXLJ9OpW61KdDGeeC7NNmNgEvn+lh59zPA2xHYP25ZAdN/mXB6/GS+dYA24CJeDv77TFFf4Y388+P8JLy5gPf9J+LlouOZJ+Je5un8WZEAXgn3hnk6OPPMa8dlOAXXwsc9NsZWiGP8/XAOufckl4/aIHIcryPMLPpeLchxO/ES65fhzzGoerTWY71Vf5jjnPuAefcIufcF4CHgDv9MiXXnyH0cS7ZPp1iXerT4YtzwfVpMxsGPI43Y2Ds8gHR47KauJfUxj3fkqBMtFxLXNke6/IHbrFxXp9mOzJSkY1Kwso596J58+xPBjqdc+vN7FG8GdqiZbqAT5rZrcBYvLMN0Xsno+VW+1/jk1yNo2cqlnLsJeB9/tc1QDlwEt7MH1Fvu/8zrMIYZzOrwbvF5M745wpdFuMd63q8qTsfjttekv06jDEOa5/OYqyn4h2kxOcWLMO7FQZKtD9DOOOsPp1SXerTIYpzIfZp824XfBRvRr+rnHMHY56OfoapeAMqYn5uds7tiik3NeZ5zLs1cSJHcx17rcvM9nBsnNvSbEdmXIBTGebrQYrTZAKTgMPAZb2U+xnwfMzP0akh74wrtwj4Uy919ce75/srMdsGADvpYTrKVD+P4tz3OAMfxpti9OSg4xpUvOOe20Av0wVnEu90Po9i3LcYF3qfzsP+4/3+558SV+63wKvZjHU6n0dxVp/Oxv6jD3WpTxdgnAutT+NdXPkj3hTpk3oosxYvbSL6cxmwgrdPOd4JHB+z7b0knnI8aV1J2prWa+nDlONFe6XJHxlHJweIAEPM7L3+z4855w76ZxbW4C0yNg1vQazfOOeeiqnnXOAC4BW8aSNvAGb52wDv0q2ZfQO408xa8Rb2ew9wId4l2x455w6b2R3ArWbW4rfnc3i/7CNTa6fyeVIMTVYVW5xjXA8sd86tTvBcYPIZ77iyE4DPptrOMPfrYotxjILr03mO9WPAJmCBvx/ZhTdd8HXAjcnaGeb+nGq7whTnGKXep0mlrkTUp4/UUxBxjlFoffqHeHH+NDDczIbHPLfMOdcG3Ab80sw2As8DH8IbVH4gpuyDwJeB+X4sa4Dv4a27GXtVOpW6epLSa2P6yWS8yTiiPz/rersiFfQoNlcPvAMQ18Njgl/mbrwVntvwZkf5InErLwNn4h2c7wf24o24p/Xwnp/DO1vcjregVq+rn/uvM7zOtAXv9pzngPp0P4/inHmc/XIj8O6VvTnoflwg8b4bb0aafmm2NZT9uthiXMh9Ot+xxrtF5nd4OQn78dZZ+QfAirU/F2Oc1aePKddrXerThR/nQu3TwMZUfv/Ax/y4tOEtZH1pgrrG4q3NtB9oAn4ADEhQrte6krQ3lXb09Hku6q1+8ysQERERERGRBEp29jwREREREZFUaNAkIiIiIiKShAZNIiIiIiIiSWjQJCIiIiIikoQGTSIiIiIiIklo0CQiIiIiIpKEBk0iIiIiIiJJaNAkIiIiIiKShAZNIiIiIiIiSfx/SE3dBW2EpHgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.rc('figure',figsize=(12,8))\n", "plt.rc('font',size=15)\n", "result = seasonal_decompose(lim_catfish_sales,model='additive')\n", "fig = result.plot()" ] }, { "cell_type": "code", "execution_count": 7, "id": "48a13785", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.rc('figure',figsize=(12,6))\n", "plt.rc('font',size=15)\n", "\n", "fig, ax = plt.subplots()\n", "x = result.resid.index\n", "y = result.resid.values\n", "ax.plot_date(x, y, color='black',linestyle='--')\n", "\n", "ax.annotate('Anomaly', (mdates.date2num(x[35]), y[35]), xytext=(30, 20), \n", " textcoords='offset points', color='red',arrowprops=dict(facecolor='red',arrowstyle='fancy'))\n", "\n", "fig.autofmt_xdate()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f49494be", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### CART based anomaly detection using isolation forest\n", "\n", "\n", "- The main idea is to explicitly identify anomalies instead of profiling normal data points. \n", "\n", "- In other words, Isolation Forest detects anomalies purely based on the fact that **anomalies are data points that are few and different**. The anomalies isolation is implemented without employing any distance or density measure.\n", "\n", "- Isolation Forest is one popular CART method, like any tree ensemble method, is based on decision trees.\n", "\n", "- When applying an Isolation Forest model, we set `contamination = outliers_fraction`, that is telling the model what proportion of outliers are present in the data. This is a trial/error metric.\n", "\n", "- The algorithm fits, predicts (data), and performs outlier detection on data, and returns 1 for normal, -1 for the anomaly." ] }, { "cell_type": "code", "execution_count": 8, "id": "64ed2d89", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler\n", "from sklearn.decomposition import PCA\n", "from sklearn.covariance import EllipticEnvelope\n", "from sklearn.ensemble import IsolationForest" ] }, { "cell_type": "code", "execution_count": 9, "id": "261e6402", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "catfish_sales.loc[\"1998-12-1\"]['Total'] = 10000 # Introduce an anomaly\n", "catfish_sales.loc[\"1993-3-1\"]['Total'] = 30000\n", "catfish_sales.loc[\"2003-3-1\"]['Total'] = 35000" ] }, { "cell_type": "code", "execution_count": 10, "id": "ae02011c", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.rc('figure',figsize=(12,6))\n", "plt.rc('font',size=15)\n", "catfish_sales.plot()" ] }, { "cell_type": "code", "execution_count": 11, "id": "dda90c06", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "scaler = StandardScaler()\n", "np_scaled = scaler.fit_transform(catfish_sales.values.reshape(-1, 1))\n", "data = pd.DataFrame(np_scaled)" ] }, { "cell_type": "code", "execution_count": 12, "id": "d8ba77ee", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "IsolationForest(contamination=0.01)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# train isolation forest\n", "outliers_fraction = float(0.01)\n", "model = IsolationForest(contamination=outliers_fraction)\n", "model.fit(data) " ] }, { "cell_type": "code", "execution_count": 13, "id": "53ac2f14", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "
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Totalanomaly
Date
1986-01-0190341
1986-02-0195961
1986-03-01105581
1986-04-0190021
1986-05-0192391
.........
2012-08-01144421
2012-09-01134221
2012-10-01137951
2012-11-01133521
2012-12-01127161
\n", "

324 rows × 2 columns

\n", "
" ], "text/plain": [ " Total anomaly\n", "Date \n", "1986-01-01 9034 1\n", "1986-02-01 9596 1\n", "1986-03-01 10558 1\n", "1986-04-01 9002 1\n", "1986-05-01 9239 1\n", "... ... ...\n", "2012-08-01 14442 1\n", "2012-09-01 13422 1\n", "2012-10-01 13795 1\n", "2012-11-01 13352 1\n", "2012-12-01 12716 1\n", "\n", "[324 rows x 2 columns]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catfish_sales['anomaly'] = model.predict(data)\n", "catfish_sales" ] }, { "cell_type": "code", "execution_count": 14, "id": "548e7363", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# visualization\n", "fig, ax = plt.subplots(figsize=(10,6))\n", "a = catfish_sales.loc[catfish_sales['anomaly'] == -1, ['Total']] #anomaly\n", "\n", "ax.plot(catfish_sales.index, catfish_sales['Total'], color='black', label = 'Normal')\n", "ax.scatter(a.index,a['Total'], color='red', label = 'Anomaly')\n", "plt.legend()\n", "plt.show();" ] }, { "cell_type": "markdown", "id": "18a8b3cd", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Exercise \n", "\n", "- Re do the above steps and change `outliers_fraction=float(0.01)` from `0.01` to `0.05`. What could you see?\n", "\n", "- When `outliers_fraction=float(0.05)`, why there are many outliers detected at the bottom left?" ] }, { "cell_type": "markdown", "id": "0b1123c2", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Anomaly detection using clustering method\n", "\n", "\n", "- The approach is pretty straightforward. Data instances that fall outside of defined clusters could potentially be marked as anomalies. \n", "\n", "- Dataset Description: Data contains information on shopping and purchase as well as information on price competitiveness.\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "af85fa00", "metadata": { "scrolled": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "
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54 rows × 54 columns

\n", "
" ], "text/plain": [ " srch_id date_time site_id visitor_location_country_id \\\n", "0 63 2013-05-23 11:56:25 14 100 \n", "1 90 2013-04-23 11:12:24 14 100 \n", "2 133 2013-03-14 11:27:28 5 219 \n", "3 148 2013-03-21 02:24:03 10 4 \n", "4 203 2013-01-03 20:48:24 5 219 \n", "5 375 2013-01-19 16:51:27 5 219 \n", "6 712 2013-01-26 11:34:23 5 219 \n", "7 751 2013-04-29 09:39:50 5 219 \n", "8 803 2013-03-25 19:43:44 5 219 \n", "9 932 2013-01-02 22:01:57 32 220 \n", "10 979 2012-12-17 21:37:18 15 55 \n", "11 1167 2013-01-11 07:46:51 14 100 \n", "12 1296 2013-05-19 19:52:42 5 219 \n", "13 1656 2013-06-27 14:49:05 15 55 \n", "14 1714 2012-11-14 17:18:51 5 219 \n", "15 1766 2013-01-10 19:22:49 5 219 \n", "16 1834 2013-03-27 14:49:27 5 219 \n", "17 1960 2013-05-20 08:14:41 5 219 \n", "18 2210 2013-06-30 08:49:46 5 77 \n", "19 2327 2013-06-27 19:02:34 5 219 \n", "20 2426 2013-05-21 18:49:33 31 219 \n", "21 2508 2012-11-25 18:24:55 5 219 \n", "22 2525 2013-04-07 22:42:16 5 219 \n", "23 2574 2013-05-24 21:03:54 5 219 \n", "24 2718 2013-05-04 08:31:26 5 219 \n", "25 2982 2013-01-28 21:14:48 5 187 \n", "26 3000 2013-01-25 16:58:42 5 219 \n", "27 3249 2012-11-02 16:05:35 5 219 \n", "28 3700 2013-03-01 18:51:53 5 219 \n", "29 3898 2013-06-15 10:13:01 5 219 \n", "30 3944 2012-12-09 11:39:06 5 219 \n", "31 4016 2012-11-18 22:06:17 5 219 \n", "32 4210 2012-11-01 03:06:43 5 219 \n", "33 4212 2012-11-25 22:29:04 32 220 \n", "34 4286 2013-01-23 18:36:47 5 219 \n", "35 4371 2013-02-09 20:24:55 5 219 \n", "36 4454 2013-05-30 16:19:31 14 100 \n", "37 4508 2013-04-16 06:05:58 5 219 \n", "38 5086 2013-04-24 16:54:51 5 219 \n", "39 5110 2013-01-09 12:24:36 5 219 \n", "40 5223 2013-05-08 13:46:34 5 219 \n", "41 5518 2012-11-05 21:05:35 14 100 \n", "42 5724 2013-05-02 18:20:27 5 219 \n", "43 5859 2012-12-31 11:13:27 5 219 \n", "44 5887 2013-03-29 23:14:12 5 123 \n", "45 5927 2013-05-17 17:25:15 5 219 \n", "46 5972 2012-12-18 07:56:34 5 219 \n", "47 6085 2012-12-20 08:37:44 5 219 \n", "48 6281 2013-05-08 22:15:41 5 219 \n", "49 6290 2013-01-24 22:08:31 5 219 \n", "50 6299 2013-05-20 10:25:55 14 100 \n", "51 6363 2012-12-27 11:21:45 5 219 \n", "52 6551 2013-05-12 06:11:34 5 219 \n", "53 6681 2013-02-28 15:19:54 5 219 \n", "\n", " visitor_hist_starrating visitor_hist_adr_usd prop_country_id prop_id \\\n", "0 NaN NaN 219 104517 \n", "1 NaN NaN 219 104517 \n", "2 NaN NaN 219 104517 \n", "3 NaN NaN 219 104517 \n", "4 NaN NaN 219 104517 \n", "5 NaN NaN 219 104517 \n", "6 NaN NaN 219 104517 \n", "7 NaN NaN 219 104517 \n", "8 NaN NaN 219 104517 \n", "9 4.00 246.15 219 104517 \n", "10 NaN NaN 219 104517 \n", "11 NaN NaN 219 104517 \n", "12 NaN NaN 219 104517 \n", "13 NaN NaN 219 104517 \n", "14 NaN NaN 219 104517 \n", "15 NaN NaN 219 104517 \n", "16 NaN NaN 219 104517 \n", "17 NaN NaN 219 104517 \n", "18 NaN NaN 219 104517 \n", "19 NaN NaN 219 104517 \n", "20 NaN NaN 219 104517 \n", "21 NaN NaN 219 104517 \n", "22 NaN NaN 219 104517 \n", "23 NaN NaN 219 104517 \n", "24 NaN NaN 219 104517 \n", "25 NaN NaN 219 104517 \n", "26 NaN NaN 219 104517 \n", "27 NaN NaN 219 104517 \n", "28 NaN NaN 219 104517 \n", "29 NaN NaN 219 104517 \n", "30 NaN NaN 219 104517 \n", "31 NaN NaN 219 104517 \n", "32 NaN NaN 219 104517 \n", "33 NaN NaN 219 104517 \n", "34 NaN NaN 219 104517 \n", "35 NaN NaN 219 104517 \n", "36 NaN NaN 219 104517 \n", "37 3.08 37.57 219 104517 \n", "38 3.00 135.03 219 104517 \n", "39 NaN NaN 219 104517 \n", "40 NaN NaN 219 104517 \n", "41 NaN NaN 219 104517 \n", "42 NaN NaN 219 104517 \n", "43 NaN NaN 219 104517 \n", "44 NaN NaN 219 104517 \n", "45 NaN NaN 219 104517 \n", "46 NaN NaN 219 104517 \n", "47 NaN NaN 219 104517 \n", "48 NaN NaN 219 104517 \n", "49 NaN NaN 219 104517 \n", "50 NaN NaN 219 104517 \n", "51 NaN NaN 219 104517 \n", "52 NaN NaN 219 104517 \n", "53 NaN NaN 219 104517 \n", "\n", " prop_starrating prop_review_score ... comp6_rate_percent_diff \\\n", "0 4 4.0 ... NaN \n", "1 4 4.0 ... NaN \n", "2 4 4.0 ... NaN \n", "3 4 4.0 ... NaN \n", "4 4 4.0 ... NaN \n", "5 4 4.0 ... NaN \n", "6 4 4.0 ... NaN \n", "7 4 4.0 ... NaN \n", "8 4 4.0 ... NaN \n", "9 4 4.0 ... NaN \n", "10 4 4.0 ... NaN \n", "11 4 4.0 ... NaN \n", "12 4 4.0 ... NaN \n", "13 4 4.0 ... NaN \n", "14 4 4.0 ... NaN \n", "15 4 4.0 ... NaN \n", "16 4 4.0 ... NaN \n", "17 4 4.0 ... NaN \n", "18 4 4.0 ... NaN \n", "19 4 4.0 ... NaN \n", "20 4 4.0 ... NaN \n", "21 4 4.0 ... NaN \n", "22 4 4.0 ... NaN \n", "23 4 4.0 ... NaN \n", "24 4 4.0 ... NaN \n", "25 4 4.0 ... NaN \n", "26 4 4.0 ... NaN \n", "27 4 4.0 ... NaN \n", "28 4 4.0 ... NaN \n", "29 4 4.0 ... NaN \n", "30 4 4.0 ... NaN \n", "31 4 4.0 ... NaN \n", "32 4 4.0 ... NaN \n", "33 4 4.0 ... NaN \n", "34 4 4.0 ... NaN \n", "35 4 4.0 ... NaN \n", "36 4 4.0 ... NaN \n", "37 4 4.0 ... NaN \n", "38 4 4.0 ... NaN \n", "39 4 4.0 ... NaN \n", "40 4 4.0 ... NaN \n", "41 4 4.0 ... NaN \n", "42 4 4.0 ... NaN \n", "43 4 4.0 ... NaN \n", "44 4 4.0 ... NaN \n", "45 4 4.0 ... NaN \n", "46 4 4.0 ... NaN \n", "47 4 4.0 ... NaN \n", "48 4 4.0 ... NaN \n", "49 4 4.0 ... NaN \n", "50 4 4.0 ... NaN \n", "51 4 4.0 ... NaN \n", "52 4 4.0 ... NaN \n", "53 4 4.0 ... NaN \n", "\n", " comp7_rate comp7_inv comp7_rate_percent_diff comp8_rate comp8_inv \\\n", "0 NaN NaN NaN 0.0 0.0 \n", "1 NaN NaN NaN 0.0 0.0 \n", "2 NaN NaN NaN 0.0 0.0 \n", "3 NaN NaN NaN NaN NaN \n", "4 NaN NaN NaN 1.0 0.0 \n", "5 NaN NaN NaN 0.0 0.0 \n", "6 NaN NaN NaN NaN NaN \n", "7 NaN NaN NaN NaN NaN \n", "8 NaN NaN NaN 0.0 0.0 \n", "9 NaN NaN NaN NaN NaN \n", "10 NaN NaN NaN NaN NaN \n", "11 NaN NaN NaN 1.0 0.0 \n", "12 NaN NaN NaN 0.0 0.0 \n", "13 NaN NaN NaN NaN NaN \n", "14 NaN NaN NaN 0.0 0.0 \n", "15 NaN NaN NaN 0.0 0.0 \n", "16 NaN NaN NaN 0.0 0.0 \n", "17 NaN NaN NaN 0.0 -1.0 \n", "18 NaN NaN NaN 0.0 0.0 \n", "19 NaN NaN NaN NaN NaN \n", "20 NaN NaN NaN 0.0 0.0 \n", "21 NaN NaN NaN 0.0 0.0 \n", "22 NaN NaN NaN 0.0 0.0 \n", "23 NaN NaN NaN 0.0 0.0 \n", "24 NaN NaN NaN 0.0 0.0 \n", "25 NaN NaN NaN NaN NaN \n", "26 NaN NaN NaN NaN NaN \n", "27 NaN NaN NaN 0.0 0.0 \n", "28 NaN NaN NaN 0.0 0.0 \n", "29 NaN NaN NaN 0.0 0.0 \n", "30 NaN NaN NaN 0.0 0.0 \n", "31 NaN NaN NaN 0.0 0.0 \n", "32 NaN NaN NaN 0.0 0.0 \n", "33 NaN NaN NaN NaN NaN \n", "34 NaN NaN NaN 0.0 0.0 \n", "35 NaN NaN NaN NaN NaN \n", "36 NaN NaN NaN NaN NaN \n", "37 NaN NaN NaN 0.0 0.0 \n", "38 NaN NaN NaN 0.0 0.0 \n", "39 NaN NaN NaN 0.0 0.0 \n", "40 NaN NaN NaN 0.0 0.0 \n", "41 NaN NaN NaN 0.0 0.0 \n", "42 NaN NaN NaN NaN NaN \n", "43 NaN NaN NaN NaN NaN \n", "44 NaN NaN NaN 0.0 0.0 \n", "45 NaN NaN NaN NaN NaN \n", "46 NaN NaN NaN 0.0 0.0 \n", "47 NaN NaN NaN 0.0 0.0 \n", "48 NaN NaN NaN 0.0 0.0 \n", "49 NaN NaN NaN 0.0 0.0 \n", "50 NaN NaN NaN 0.0 0.0 \n", "51 NaN NaN NaN 0.0 0.0 \n", "52 NaN NaN NaN NaN NaN \n", "53 NaN NaN NaN 0.0 0.0 \n", "\n", " comp8_rate_percent_diff click_bool gross_bookings_usd booking_bool \n", "0 NaN 0 NaN 0 \n", "1 NaN 0 NaN 0 \n", "2 NaN 0 NaN 0 \n", "3 NaN 0 NaN 0 \n", "4 14.0 0 NaN 0 \n", "5 NaN 0 NaN 0 \n", "6 NaN 0 NaN 0 \n", "7 NaN 0 NaN 0 \n", "8 NaN 0 NaN 0 \n", "9 NaN 0 NaN 0 \n", "10 NaN 0 NaN 0 \n", "11 16.0 1 270.27 1 \n", "12 NaN 0 NaN 0 \n", "13 NaN 0 NaN 0 \n", "14 NaN 0 NaN 0 \n", "15 NaN 0 NaN 0 \n", "16 NaN 0 NaN 0 \n", "17 6.0 0 NaN 0 \n", "18 NaN 0 NaN 0 \n", "19 NaN 0 NaN 0 \n", "20 NaN 0 NaN 0 \n", "21 NaN 0 NaN 0 \n", "22 NaN 0 NaN 0 \n", "23 NaN 0 NaN 0 \n", "24 NaN 0 NaN 0 \n", "25 NaN 0 NaN 0 \n", "26 NaN 0 NaN 0 \n", "27 NaN 0 NaN 0 \n", "28 NaN 0 NaN 0 \n", "29 NaN 0 NaN 0 \n", "30 NaN 0 NaN 0 \n", "31 NaN 0 NaN 0 \n", "32 2.0 0 NaN 0 \n", "33 NaN 0 NaN 0 \n", "34 NaN 0 NaN 0 \n", "35 NaN 0 NaN 0 \n", "36 NaN 0 NaN 0 \n", "37 NaN 0 NaN 0 \n", "38 NaN 0 NaN 0 \n", "39 16.0 1 633.92 1 \n", "40 NaN 1 NaN 0 \n", "41 NaN 0 NaN 0 \n", "42 NaN 0 NaN 0 \n", "43 NaN 0 NaN 0 \n", "44 NaN 0 NaN 0 \n", "45 NaN 0 NaN 0 \n", "46 NaN 0 NaN 0 \n", "47 NaN 0 NaN 0 \n", "48 NaN 0 NaN 0 \n", "49 6.0 0 NaN 0 \n", "50 NaN 0 NaN 0 \n", "51 NaN 0 NaN 0 \n", "52 NaN 0 NaN 0 \n", "53 NaN 0 NaN 0 \n", "\n", "[54 rows x 54 columns]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('data/TimeSeriesExpedia.csv')\n", "df" ] }, { "cell_type": "markdown", "id": "01082d7f", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- Detecting the number of clusters\n", "\n", " - First we need to know the number of clusters. \n", " - The **Elbow Method** works pretty efficiently for this.\n", " - The Elbow method is a graph of the number of clusters vs the variance explained/objective/score\n" ] }, { "cell_type": "code", "execution_count": 16, "id": "0adcc9af", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import KMeans\n", "data = df[['price_usd', 'srch_booking_window', 'srch_saturday_night_bool']]\n", "n_cluster = range(1, 20)\n", "kmeans = [KMeans(n_clusters=i).fit(data) for i in n_cluster]\n", "scores = [kmeans[i].score(data) for i in range(len(kmeans))]\n", "\n", "fig, ax = plt.subplots(figsize=(10,6))\n", "ax.plot(n_cluster, scores)\n", "plt.xlabel('Number of Clusters')\n", "plt.ylabel('Score')\n", "plt.title('Elbow Curve')\n", "plt.show();" ] }, { "cell_type": "markdown", "id": "fdc450be", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- From the above elbow curve, we see that the graph levels off after 10 clusters, implying that the addition of more clusters do not explain much more of the variance in our relevant variable; in this case `price_usd`.\n", "\n", "- We set `n_clusters=10`, and upon generating the k-means output, use the data to plot the 3D clusters." ] }, { "cell_type": "code", "execution_count": 17, "id": "d0f20f96", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X = df[['price_usd', 'srch_booking_window', 'srch_saturday_night_bool']]\n", "X = X.reset_index(drop=True)\n", "km = KMeans(n_clusters=10)\n", "km.fit(X)\n", "km.predict(X)\n", "labels = km.labels_\n", "# #Plotting\n", "from mpl_toolkits.mplot3d import Axes3D\n", "fig,ax = plt.subplots(figsize=(10,6))\n", "ax = Axes3D(fig, rect=[0, 0, 0.95, 1], elev=48, azim=134, auto_add_to_figure=False)\n", "fig.add_axes(ax) \n", "ax.scatter(X.iloc[:,0], X.iloc[:,1], X.iloc[:,2],\n", " c=labels.astype(np.float), edgecolor=\"k\")\n", "ax.set_xlabel(\"price_usd\")\n", "ax.set_ylabel(\"srch_booking_window\")\n", "ax.set_zlabel(\"srch_saturday_night_bool\")\n", "plt.title(\"K Means\", fontsize=14);" ] }, { "cell_type": "markdown", "id": "4ac053f6", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- We see that the first component explains almost 50% of the variance. The second component explains over 30%. However, notice that almost none of the components are really negligible. The first 2 components contain over 80% of the information. So, we will set `n_components=2`.\n", "\n", "- The underlying assumption in the clustering-based anomaly detection is that if we cluster the data, normal data will belong to clusters while anomalies will not belong to any clusters, or belong to small clusters. " ] }, { "cell_type": "code", "execution_count": 18, "id": "b228a0b9", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = df[['price_usd', 'srch_booking_window', 'srch_saturday_night_bool']]\n", "X = data.values\n", "X_std = StandardScaler().fit_transform(X)\n", "#Calculating Eigenvecors and eigenvalues of Covariance matrix\n", "mean_vec = np.mean(X_std, axis=0)\n", "cov_mat = np.cov(X_std.T)\n", "eig_vals, eig_vecs = np.linalg.eig(cov_mat)\n", "# Create a list of (eigenvalue, eigenvector) tuples\n", "eig_pairs = [ (np.abs(eig_vals[i]),eig_vecs[:,i]) for i in range(len(eig_vals))]\n", "\n", "eig_pairs.sort(key = lambda x: x[0], reverse= True)\n", "\n", "# Calculation of Explained Variance from the eigenvalues\n", "tot = sum(eig_vals)\n", "var_exp = [(i/tot)*100 for i in sorted(eig_vals, reverse=True)] # Individual explained variance\n", "cum_var_exp = np.cumsum(var_exp) # Cumulative explained variance\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.bar(range(len(var_exp)), var_exp, alpha=0.3, align='center', label='individual explained variance', color = 'y')\n", "plt.step(range(len(cum_var_exp)), cum_var_exp, where='mid',label='cumulative explained variance')\n", "plt.ylabel('Explained variance ratio')\n", "plt.xlabel('Principal components')\n", "plt.legend(loc='best')\n", "plt.show();" ] }, { "cell_type": "code", "execution_count": 19, "id": "9a0fd083", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "# Take useful feature and standardize them\n", "data = df[['price_usd', 'srch_booking_window', 'srch_saturday_night_bool']]\n", "X_std = StandardScaler().fit_transform(X)\n", "data = pd.DataFrame(X_std)\n", "# reduce to 2 important features\n", "pca = PCA(n_components=2)\n", "data = pca.fit_transform(data)\n", "# standardize these 2 new features\n", "scaler = StandardScaler()\n", "np_scaled = scaler.fit_transform(data)\n", "data = pd.DataFrame(np_scaled)" ] }, { "cell_type": "code", "execution_count": 20, "id": "f570c379", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "3 14\n", "8 10\n", "0 8\n", "7 4\n", "1 4\n", "2 4\n", "6 3\n", "5 3\n", "4 2\n", "9 2\n", "Name: cluster, dtype: int64" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans = [KMeans(n_clusters=i).fit(data) for i in n_cluster]\n", "df['cluster'] = kmeans[9].predict(data)\n", "df.index = data.index\n", "df['principal_feature1'] = data[0]\n", "df['principal_feature2'] = data[1]\n", "df['cluster'].value_counts()" ] }, { "cell_type": "markdown", "id": "429dbaf5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- Calculate the distance between each point and its nearest centroid. The biggest distances are considered anomalies." ] }, { "cell_type": "markdown", "id": "163b77f3", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- We use `outliers_fraction` to provide information to the algorithm about the proportion of the outliers present in our data set.\n", "\n", "- Similarly to the IsolationForest algorithm. This is largely a hyperparameter that needs hit/trial or grid-search to be set right – as a starting figure, let’s estimate, `outliers_fraction=0.1`" ] }, { "cell_type": "code", "execution_count": 21, "id": "b8e2041a", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "# return Series of distance between each point and its distance with the closest centroid\n", "def getDistanceByPoint(data, model):\n", " distance = pd.Series(dtype='float64')\n", " for i in range(0,len(data)):\n", " Xa = np.array(data.loc[i])\n", " Xb = model.cluster_centers_[model.labels_[i]-1]\n", " distance.at[i]=np.linalg.norm(Xa-Xb)\n", " return distance\n", "\n", "outliers_fraction = 0.1\n", "# get the distance between each point and its nearest centroid. The biggest distances are considered as anomaly\n", "distance = getDistanceByPoint(data, kmeans[9])\n", "number_of_outliers = int(outliers_fraction*len(distance))\n", "threshold = distance.nlargest(number_of_outliers).min()\n", "# anomaly1 contain the anomaly result of the above method Cluster (0:normal, 1:anomaly) \n", "df['anomaly1'] = (distance >= threshold).astype(int)" ] }, { "cell_type": "code", "execution_count": 22, "id": "2ffe18bd", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,6))\n", "colors = {0:'blue', 1:'red'}\n", "ax.scatter(df['principal_feature1'], df['principal_feature2'], c=df[\"anomaly1\"].apply(lambda x: colors[x]))\n", "plt.xlabel('principal feature1')\n", "plt.ylabel('principal feature2')\n", "plt.show();" ] }, { "cell_type": "code", "execution_count": 23, "id": "e404f15c", "metadata": { "scrolled": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df = df.sort_values('date_time')\n", "#df['date_time_int'] = df.date_time.astype(np.int64)\n", "fig, ax = plt.subplots(figsize=(10,6))\n", "\n", "a = df.loc[df['anomaly1'] == 1, ['date_time', 'price_usd']] #anomaly\n", "\n", "\n", "ax.plot(pd.to_datetime(df['date_time']), df['price_usd'], color='k',label='Normal')\n", "ax.scatter(pd.to_datetime(a['date_time']),a['price_usd'], color='red', label='Anomaly')\n", "ax.xaxis_date()\n", "plt.xlabel('Date Time')\n", "plt.ylabel('price in USD')\n", "plt.legend()\n", "fig.autofmt_xdate()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8d90b13f", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Anomaly detection using Forecasting \n", "\n", "\n", "- Several points from the past generate a forecast of the next point with the addition of some random variable, which is usually white noise. \n", "\n", "- Forecasted points in the future will generate new points and so on. Its obvious effect on the forecast horizon – the signal gets smoother.\n", "\n", "- Each time you work with a new signal, you should build a new forecasting model.\n", "\n", "- Your signal should be stationary after differencing. In simple words, it means your signal should not be dependent on time, which is a significant constraint." ] }, { "cell_type": "markdown", "id": "db23f0c9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- We can utilize different forecasting methods such as Moving Averages, Autoregressive approach, and ARIMA with its different variants. \n", "\n", "- The difficult part of using this method is that you should select the number of differences, number of autoregressions, and forecast error coefficients.\n", "\n", "\n", "- The procedure for detecting anomalies with ARIMA is:\n", "\n", " - Predict the new point from past datums and find the difference in magnitude with those in the training data.\n", " - Choose a threshold and identify anomalies based on that difference threshold.\n", "\n", " - We use a popular module in time series called `prophet`. This module specifically caters to stationarity and seasonality, and can be tuned with some hyper-parameters.\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "09ec89f4", "metadata": { "scrolled": true, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ds y\n", "0 1986-01-01 9034\n", "1 1986-02-01 9596\n", "2 1986-03-01 10558\n", "3 1986-04-01 9002\n", "4 1986-05-01 9239\n", ".. ... ...\n", "319 2012-08-01 14442\n", "320 2012-09-01 13422\n", "321 2012-10-01 13795\n", "322 2012-11-01 13352\n", "323 2012-12-01 12716\n", "\n", "[324 rows x 2 columns]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t = pd.DataFrame()\n", "t['ds'] = catfish_sales.index\n", "t['y'] = catfish_sales['Total'].values\n", "t" ] }, { "cell_type": "code", "execution_count": 25, "id": "18e4dbbe", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial log joint probability = -15.2405\n", " Iter log prob ||dx|| ||grad|| alpha alpha0 # evals Notes \n", " 90 697.457 0.00195447 191.233 1.882e-05 0.001 160 LS failed, Hessian reset \n", " 99 698.836 0.0012588 84.3828 0.2852 0.2852 170 \n", " Iter log prob ||dx|| ||grad|| alpha alpha0 # evals Notes \n", " 195 699.445 0.000884218 84.4718 1.121e-05 0.001 359 LS failed, Hessian reset \n", " 199 699.485 0.000215781 52.8067 1 1 363 \n", " Iter log prob ||dx|| ||grad|| alpha alpha0 # evals Notes \n", " 250 699.636 2.05622e-05 68.2599 3.669e-07 0.001 469 LS failed, Hessian reset \n", " 299 699.638 6.66519e-06 61.6449 1 1 537 \n", " Iter log prob ||dx|| ||grad|| alpha alpha0 # evals Notes \n", " 330 699.638 1.00984e-07 45.3758 1.725e-09 0.001 616 LS failed, Hessian reset \n", " 333 699.638 6.38716e-08 41.6343 1 1 619 \n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] } ], "source": [ "from prophet import Prophet\n", "def fit_predict_model(dataframe, interval_width = 0.99, changepoint_range = 0.8):\n", " m = Prophet(daily_seasonality = False, yearly_seasonality = False, weekly_seasonality = False,\n", " seasonality_mode = 'additive', \n", " interval_width = interval_width,\n", " changepoint_range = changepoint_range)\n", " m = m.fit(dataframe)\n", " forecast = m.predict(dataframe)\n", " forecast['fact'] = dataframe['y'].reset_index(drop = True)\n", " return forecast\n", " \n", "pred = fit_predict_model(t)" ] }, { "cell_type": "code", "execution_count": 26, "id": "4127b01e", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "def detect_anomalies(forecast):\n", " forecasted = forecast[['ds','trend', 'yhat', 'yhat_lower', 'yhat_upper', 'fact']].copy()\n", "\n", " forecasted['anomaly'] = 0\n", " forecasted.loc[forecasted['fact'] > forecasted['yhat_upper'], 'anomaly'] = 1\n", " forecasted.loc[forecasted['fact'] < forecasted['yhat_lower'], 'anomaly'] = -1\n", "\n", " #anomaly importances\n", " forecasted['importance'] = 0\n", " forecasted.loc[forecasted['anomaly'] ==1, 'importance'] = \\\n", " (forecasted['fact'] - forecasted['yhat_upper'])/forecast['fact']\n", " forecasted.loc[forecasted['anomaly'] ==-1, 'importance'] = \\\n", " (forecasted['yhat_lower'] - forecasted['fact'])/forecast['fact']\n", " \n", " return forecasted\n", "\n", "pred = detect_anomalies(pred)" ] }, { "cell_type": "code", "execution_count": 27, "id": "19f51a98", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "" ], "text/plain": [ "alt.LayerChart(...)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import altair as alt\n", "def plot_anomalies(forecasted):\n", " interval = alt.Chart(forecasted).mark_area(interpolate=\"basis\", color = '#7FC97F').encode(\n", " x=alt.X('ds:T', title ='date'),\n", " y='yhat_upper',\n", " y2='yhat_lower',\n", " tooltip=['ds', 'fact', 'yhat_lower', 'yhat_upper']\n", " ).interactive().properties(\n", " title='Anomaly Detection'\n", " )\n", "\n", " fact = alt.Chart(forecasted[forecasted.anomaly==0]).mark_circle(size=15, opacity=0.7, color = 'Black').encode(\n", " x='ds:T',\n", " y=alt.Y('fact', title='Sales'), \n", " tooltip=['ds', 'fact', 'yhat_lower', 'yhat_upper']\n", " ).interactive()\n", "\n", " anomalies = alt.Chart(forecasted[forecasted.anomaly!=0]).mark_circle(size=30, color = 'Red').encode(\n", " x='ds:T',\n", " y=alt.Y('fact', title='Sales'), \n", " tooltip=['ds', 'fact', 'yhat_lower', 'yhat_upper'],\n", " size = alt.Size( 'importance', legend=None)\n", " ).interactive()\n", "\n", " return alt.layer(interval, fact, anomalies)\\\n", " .properties(width=870, height=450)\\\n", " .configure_title(fontSize=20)\n", " \n", "plot_anomalies(pred)" ] }, { "cell_type": "markdown", "id": "0defcaf4", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## How to deal with the anomalies?\n", "\n", "### Understanding the business case\n", "\n", "- Anomalies almost always provide new information and perspective to your problems. \n", "- Stock prices going up suddenly? There has to be a reason for this like we saw with Gamestop, a pandemic could be another. So, understanding the reasons behind the spike can help you solve the problem in an efficient manner.\n", "\n", "- Understanding the business use case can also help you identify the problem better. For instance, you might be working on some sort of fraud detection which means your primary goal is indeed understanding the outliers in the data.\n", "\n", "- If none of this is your concern, you can move to remove or smoothen out the outlier.\n" ] }, { "cell_type": "markdown", "id": "055bfd3a", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Using statistical methods to adjust outliers\n", "\n", "- Statistical methods let you adjust the value of your outlier to match the original distribution. \n", "\n", "### Removing the Outlier\n", "\n", "- The last option if none of the above two sparks any debate in your solution is to get ride of the anomalies. " ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python3.9-virtualenv", "language": "python", "name": "python3.9-virtualenv" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }