diff --git a/Leave-Future-Out.ipynb b/Leave-Future-Out.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..bbc24def78bcb75c2d9412296133c4c88fc01777 --- /dev/null +++ b/Leave-Future-Out.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"Leave-Future-Out.ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyMrSUjl03L7aX5+54AVmzFk"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","metadata":{"id":"CrQoh1LEzvKK","executionInfo":{"status":"ok","timestamp":1622806725465,"user_tz":-180,"elapsed":336,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["#Import libraries \n","import numpy as np\n","import pandas as pd\n","import matplotlib.pyplot as plt"],"execution_count":1,"outputs":[]},{"cell_type":"code","metadata":{"id":"M6HpJN96ypJH","executionInfo":{"status":"ok","timestamp":1622806725806,"user_tz":-180,"elapsed":3,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["# Import data from drive libraries\n","# Imported with the help of this https://buomsoo-kim.github.io/colab/2018/04/16/Importing-files-from-Google-Drive-in-Google-Colab.md/\n","from pydrive.auth import GoogleAuth\n","from pydrive.drive import GoogleDrive\n","from google.colab import auth\n","from oauth2client.client import GoogleCredentials"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"HhvsqJGEmU5T"},"source":["# Datasets:"]},{"cell_type":"markdown","metadata":{"id":"7NPj7wLCmY16"},"source":["### Lake Huron"]},{"cell_type":"markdown","metadata":{"id":"dTZLv0bH0kQ4"},"source":["from R datasets\\\n","Univariate time-series"]},{"cell_type":"code","metadata":{"id":"mqQa1HgqmN2t","executionInfo":{"status":"ok","timestamp":1622806727000,"user_tz":-180,"elapsed":1198,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["# Import data from google drive\n","auth.authenticate_user()\n","gauth = GoogleAuth()\n","gauth.credentials = GoogleCredentials.get_application_default()\n","drive = GoogleDrive(gauth)\n","downloaded = drive.CreateFile({'id':\"1ge9HEVWWxQoQoS98T7iaiaebwJ4qk7oM\"}) # replace the id with id of file you want to access\n","downloaded.GetContentFile('lake_huron.csv') # replace the file name with your file"],"execution_count":3,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"cpG81USCy12P","executionInfo":{"status":"ok","timestamp":1622806727001,"user_tz":-180,"elapsed":11,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"e1977c59-98c2-40e2-f7c3-c45ab20388a1"},"source":["# Inspect data\n","lake_huron_full = pd.read_csv('lake_huron.csv')\n","lake_huron_full"],"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n"," .dataframe tbody tr th:only-of-type {\n"," vertical-align: middle;\n"," }\n","\n"," .dataframe tbody tr th {\n"," vertical-align: top;\n"," }\n","\n"," .dataframe thead th {\n"," text-align: right;\n"," }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n"," <thead>\n"," <tr style=\"text-align: right;\">\n"," <th></th>\n"," <th>Unnamed: 0</th>\n"," <th>y</th>\n"," <th>year</th>\n"," <th>time</th>\n"," </tr>\n"," </thead>\n"," <tbody>\n"," <tr>\n"," <th>0</th>\n"," <td>1</td>\n"," <td>580.38</td>\n"," <td>1875</td>\n"," <td>1</td>\n"," </tr>\n"," <tr>\n"," <th>1</th>\n"," <td>2</td>\n"," <td>581.86</td>\n"," <td>1876</td>\n"," <td>2</td>\n"," </tr>\n"," <tr>\n"," <th>2</th>\n"," <td>3</td>\n"," <td>580.97</td>\n"," <td>1877</td>\n"," <td>3</td>\n"," </tr>\n"," <tr>\n"," <th>3</th>\n"," <td>4</td>\n"," <td>580.80</td>\n"," <td>1878</td>\n"," <td>4</td>\n"," </tr>\n"," <tr>\n"," <th>4</th>\n"," <td>5</td>\n"," <td>579.79</td>\n"," <td>1879</td>\n"," <td>5</td>\n"," </tr>\n"," <tr>\n"," <th>...</th>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," </tr>\n"," <tr>\n"," <th>93</th>\n"," <td>94</td>\n"," <td>578.52</td>\n"," <td>1968</td>\n"," <td>94</td>\n"," </tr>\n"," <tr>\n"," <th>94</th>\n"," <td>95</td>\n"," <td>579.74</td>\n"," <td>1969</td>\n"," <td>95</td>\n"," </tr>\n"," <tr>\n"," <th>95</th>\n"," <td>96</td>\n"," <td>579.31</td>\n"," <td>1970</td>\n"," <td>96</td>\n"," </tr>\n"," <tr>\n"," <th>96</th>\n"," <td>97</td>\n"," <td>579.89</td>\n"," <td>1971</td>\n"," <td>97</td>\n"," </tr>\n"," <tr>\n"," <th>97</th>\n"," <td>98</td>\n"," <td>579.96</td>\n"," <td>1972</td>\n"," <td>98</td>\n"," </tr>\n"," </tbody>\n","</table>\n","<p>98 rows × 4 columns</p>\n","</div>"],"text/plain":[" Unnamed: 0 y year time\n","0 1 580.38 1875 1\n","1 2 581.86 1876 2\n","2 3 580.97 1877 3\n","3 4 580.80 1878 4\n","4 5 579.79 1879 5\n",".. ... ... ... ...\n","93 94 578.52 1968 94\n","94 95 579.74 1969 95\n","95 96 579.31 1970 96\n","96 97 579.89 1971 97\n","97 98 579.96 1972 98\n","\n","[98 rows x 4 columns]"]},"metadata":{"tags":[]},"execution_count":4}]},{"cell_type":"code","metadata":{"id":"r7fyf_f9zrng","executionInfo":{"status":"ok","timestamp":1622806727002,"user_tz":-180,"elapsed":8,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["water_levels = lake_huron_full.iloc[:,1]\n","#print(water_levels)\n","years = lake_huron_full.iloc[:,2]\n","#print(years)"],"execution_count":5,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"qHkRLU4g03kS","executionInfo":{"status":"ok","timestamp":1622806727002,"user_tz":-180,"elapsed":8,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"250199c2-9508-4066-c35e-87bc2aa3b5b4"},"source":["# Plot data\n","f = plt.figure()\n","f.set_figwidth(20)\n","f.set_figheight(5)\n","\n","plt.title(\"Lake Huron water levels in feet\")\n","plt.plot(years, water_levels, '-', color='black')\n","plt.plot(years, water_levels, 'o')\n","plt.show()"],"execution_count":6,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x360 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"xbuwejxummwm"},"source":["### Cherry Tree blossom"]},{"cell_type":"markdown","metadata":{"id":"3c2ep61m1WQt"},"source":["multivariate time series"]},{"cell_type":"markdown","metadata":{"id":"0UFUH12k1hho"},"source":["http://atmenv.envi.osakafu-u.ac.jp/aono/kyophenotemp4/"]},{"cell_type":"code","metadata":{"id":"_l9fD4xVn6fj","executionInfo":{"status":"ok","timestamp":1622806727718,"user_tz":-180,"elapsed":722,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["# Import data from google drive\n","auth.authenticate_user()\n","gauth = GoogleAuth()\n","gauth.credentials = GoogleCredentials.get_application_default()\n","drive = GoogleDrive(gauth)\n","downloaded = drive.CreateFile({'id':\"1wW0oiWwu6KyzIkcdLWKGoxpV7kxRYtUF\"}) # replace the id with id of file you want to access\n","downloaded.GetContentFile('KyotoFullFlower7.xls') # replace the file name with your file"],"execution_count":7,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"rMAvIb0EoFak","executionInfo":{"status":"ok","timestamp":1622806727723,"user_tz":-180,"elapsed":9,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"b7304dfe-595e-43b0-bdc3-7e133c0bba44"},"source":["# Inspect blossoom data\n","cherry_blossom = pd.read_excel('KyotoFullFlower7.xls', header=25)\n","cherry_blossom"],"execution_count":8,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n"," .dataframe tbody tr th:only-of-type {\n"," vertical-align: middle;\n"," }\n","\n"," .dataframe tbody tr th {\n"," vertical-align: top;\n"," }\n","\n"," .dataframe thead th {\n"," text-align: right;\n"," }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n"," <thead>\n"," <tr style=\"text-align: right;\">\n"," <th></th>\n"," <th>AD</th>\n"," <th>Full-flowering date (DOY)</th>\n"," <th>Full-flowering date</th>\n"," <th>Source code</th>\n"," <th>Data type code</th>\n"," <th>Reference Name</th>\n"," </tr>\n"," </thead>\n"," <tbody>\n"," <tr>\n"," <th>0</th>\n"," <td>801</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>-</td>\n"," </tr>\n"," <tr>\n"," <th>1</th>\n"," <td>802</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>-</td>\n"," </tr>\n"," <tr>\n"," <th>2</th>\n"," <td>803</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>-</td>\n"," </tr>\n"," <tr>\n"," <th>3</th>\n"," <td>804</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>-</td>\n"," </tr>\n"," <tr>\n"," <th>4</th>\n"," <td>805</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," <td>-</td>\n"," </tr>\n"," <tr>\n"," <th>...</th>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," </tr>\n"," <tr>\n"," <th>1210</th>\n"," <td>2011</td>\n"," <td>99.0</td>\n"," <td>409.0</td>\n"," <td>8.0</td>\n"," <td>0.0</td>\n"," <td>NEWS-PAPER(ARASHIYAMA)</td>\n"," </tr>\n"," <tr>\n"," <th>1211</th>\n"," <td>2012</td>\n"," <td>101.0</td>\n"," <td>410.0</td>\n"," <td>8.0</td>\n"," <td>0.0</td>\n"," <td>NEWS-PAPER(ARASHIYAMA)</td>\n"," </tr>\n"," <tr>\n"," <th>1212</th>\n"," <td>2013</td>\n"," <td>93.0</td>\n"," <td>403.0</td>\n"," <td>8.0</td>\n"," <td>0.0</td>\n"," <td>NEWS-PAPER(ARASHIYAMA)</td>\n"," </tr>\n"," <tr>\n"," <th>1213</th>\n"," <td>2014</td>\n"," <td>94.0</td>\n"," <td>404.0</td>\n"," <td>8.0</td>\n"," <td>0.0</td>\n"," <td>NEWS-PAPER(ARASHIYAMA)</td>\n"," </tr>\n"," <tr>\n"," <th>1214</th>\n"," <td>2015</td>\n"," <td>93.0</td>\n"," <td>403.0</td>\n"," <td>8.0</td>\n"," <td>0.0</td>\n"," <td>NEWS-PAPER(ARASHIYAMA)</td>\n"," </tr>\n"," </tbody>\n","</table>\n","<p>1215 rows × 6 columns</p>\n","</div>"],"text/plain":[" AD Full-flowering date (DOY) ... Data type code Reference Name\n","0 801 NaN ... NaN -\n","1 802 NaN ... NaN -\n","2 803 NaN ... NaN -\n","3 804 NaN ... NaN -\n","4 805 NaN ... NaN -\n","... ... ... ... ... ...\n","1210 2011 99.0 ... 0.0 NEWS-PAPER(ARASHIYAMA)\n","1211 2012 101.0 ... 0.0 NEWS-PAPER(ARASHIYAMA)\n","1212 2013 93.0 ... 0.0 NEWS-PAPER(ARASHIYAMA)\n","1213 2014 94.0 ... 0.0 NEWS-PAPER(ARASHIYAMA)\n","1214 2015 93.0 ... 0.0 NEWS-PAPER(ARASHIYAMA)\n","\n","[1215 rows x 6 columns]"]},"metadata":{"tags":[]},"execution_count":8}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"h2L4yuI1zXhj","executionInfo":{"status":"ok","timestamp":1622806728279,"user_tz":-180,"elapsed":562,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"42e6edd2-f9db-4b5f-e7b9-0046188c83fa"},"source":["# Plot \n","f = plt.figure()\n","f.set_figwidth(20)\n","f.set_figheight(5)\n","\n","plt.title(\"Cherry blossom date (day of year)\")\n","plt.plot(cherry_blossom['AD'], cherry_blossom['Full-flowering date (DOY)'], 'o')\n","plt.show()"],"execution_count":9,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x360 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"sdMy94wv15Fs","executionInfo":{"status":"ok","timestamp":1622806728622,"user_tz":-180,"elapsed":346,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["# Import temperature data\n","auth.authenticate_user()\n","gauth = GoogleAuth()\n","gauth.credentials = GoogleCredentials.get_application_default()\n","drive = GoogleDrive(gauth)\n","downloaded = drive.CreateFile({'id':\"1zNXdIVNWjVN69J6Xwp8j6SRmw-uX_Eql\"}) # replace the id with id of file you want to access\n","downloaded.GetContentFile('759Temp7.xls') # replace the file name with your file"],"execution_count":10,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"KRyCYfUr2nuk","executionInfo":{"status":"ok","timestamp":1622806728623,"user_tz":-180,"elapsed":7,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"637bd37e-afdf-4ed8-9e65-1f5f6a9df672"},"source":["# Inspect data\n","cherry_blossom_temp = pd.read_excel('759Temp7.xls', header=14)\n","cherry_blossom_temp"],"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n"," .dataframe tbody tr th:only-of-type {\n"," vertical-align: middle;\n"," }\n","\n"," .dataframe tbody tr th {\n"," vertical-align: top;\n"," }\n","\n"," .dataframe thead th {\n"," text-align: right;\n"," }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n"," <thead>\n"," <tr style=\"text-align: right;\">\n"," <th></th>\n"," <th>Unnamed: 0</th>\n"," <th>Unnamed: 1</th>\n"," <th>Unnamed: 2</th>\n"," </tr>\n"," </thead>\n"," <tbody>\n"," <tr>\n"," <th>0</th>\n"," <td>801</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>1</th>\n"," <td>802</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>2</th>\n"," <td>803</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>3</th>\n"," <td>804</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>4</th>\n"," <td>805</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>...</th>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," </tr>\n"," <tr>\n"," <th>1206</th>\n"," <td>2007</td>\n"," <td>8.3</td>\n"," <td>8.6</td>\n"," </tr>\n"," <tr>\n"," <th>1207</th>\n"," <td>2008</td>\n"," <td>8.9</td>\n"," <td>9.6</td>\n"," </tr>\n"," <tr>\n"," <th>1208</th>\n"," <td>2009</td>\n"," <td>8.9</td>\n"," <td>8.8</td>\n"," </tr>\n"," <tr>\n"," <th>1209</th>\n"," <td>2010</td>\n"," <td>8.9</td>\n"," <td>8.5</td>\n"," </tr>\n"," <tr>\n"," <th>1210</th>\n"," <td>2011</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," </tbody>\n","</table>\n","<p>1211 rows × 3 columns</p>\n","</div>"],"text/plain":[" Unnamed: 0 Unnamed: 1 Unnamed: 2\n","0 801 -999.9 -999.9\n","1 802 -999.9 -999.9\n","2 803 -999.9 -999.9\n","3 804 -999.9 -999.9\n","4 805 -999.9 -999.9\n","... ... ... ...\n","1206 2007 8.3 8.6\n","1207 2008 8.9 9.6\n","1208 2009 8.9 8.8\n","1209 2010 8.9 8.5\n","1210 2011 -999.9 -999.9\n","\n","[1211 rows x 3 columns]"]},"metadata":{"tags":[]},"execution_count":11}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"VqrSmXiI26Zb","executionInfo":{"status":"ok","timestamp":1622806728623,"user_tz":-180,"elapsed":6,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"ab3410c2-a442-48f8-f3b9-6ef5117fbc41"},"source":["# Rename columns\n","cherry_blossom_temp.columns = ['Year', 'Reconstructed temperature', 'Observed temperature']\n","cherry_blossom_temp"],"execution_count":12,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n"," .dataframe tbody tr th:only-of-type {\n"," vertical-align: middle;\n"," }\n","\n"," .dataframe tbody tr th {\n"," vertical-align: top;\n"," }\n","\n"," .dataframe thead th {\n"," text-align: right;\n"," }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n"," <thead>\n"," <tr style=\"text-align: right;\">\n"," <th></th>\n"," <th>Year</th>\n"," <th>Reconstructed temperature</th>\n"," <th>Observed temperature</th>\n"," </tr>\n"," </thead>\n"," <tbody>\n"," <tr>\n"," <th>0</th>\n"," <td>801</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>1</th>\n"," <td>802</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>2</th>\n"," <td>803</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>3</th>\n"," <td>804</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>4</th>\n"," <td>805</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," <tr>\n"," <th>...</th>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," </tr>\n"," <tr>\n"," <th>1206</th>\n"," <td>2007</td>\n"," <td>8.3</td>\n"," <td>8.6</td>\n"," </tr>\n"," <tr>\n"," <th>1207</th>\n"," <td>2008</td>\n"," <td>8.9</td>\n"," <td>9.6</td>\n"," </tr>\n"," <tr>\n"," <th>1208</th>\n"," <td>2009</td>\n"," <td>8.9</td>\n"," <td>8.8</td>\n"," </tr>\n"," <tr>\n"," <th>1209</th>\n"," <td>2010</td>\n"," <td>8.9</td>\n"," <td>8.5</td>\n"," </tr>\n"," <tr>\n"," <th>1210</th>\n"," <td>2011</td>\n"," <td>-999.9</td>\n"," <td>-999.9</td>\n"," </tr>\n"," </tbody>\n","</table>\n","<p>1211 rows × 3 columns</p>\n","</div>"],"text/plain":[" Year Reconstructed temperature Observed temperature\n","0 801 -999.9 -999.9\n","1 802 -999.9 -999.9\n","2 803 -999.9 -999.9\n","3 804 -999.9 -999.9\n","4 805 -999.9 -999.9\n","... ... ... ...\n","1206 2007 8.3 8.6\n","1207 2008 8.9 9.6\n","1208 2009 8.9 8.8\n","1209 2010 8.9 8.5\n","1210 2011 -999.9 -999.9\n","\n","[1211 rows x 3 columns]"]},"metadata":{"tags":[]},"execution_count":12}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"cK71-aaL3xRv","executionInfo":{"status":"ok","timestamp":1622806728869,"user_tz":-180,"elapsed":251,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"ef1016ea-2d7d-4e6b-ea91-cb0dfd418df4"},"source":["# Set -999.9 values to NaN\n","cherry_blossom_temp = cherry_blossom_temp.where(cherry_blossom_temp > -999, np.NaN)\n","cherry_blossom_temp"],"execution_count":13,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n"," .dataframe tbody tr th:only-of-type {\n"," vertical-align: middle;\n"," }\n","\n"," .dataframe tbody tr th {\n"," vertical-align: top;\n"," }\n","\n"," .dataframe thead th {\n"," text-align: right;\n"," }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n"," <thead>\n"," <tr style=\"text-align: right;\">\n"," <th></th>\n"," <th>Year</th>\n"," <th>Reconstructed temperature</th>\n"," <th>Observed temperature</th>\n"," </tr>\n"," </thead>\n"," <tbody>\n"," <tr>\n"," <th>0</th>\n"," <td>801</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," </tr>\n"," <tr>\n"," <th>1</th>\n"," <td>802</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," </tr>\n"," <tr>\n"," <th>2</th>\n"," <td>803</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," </tr>\n"," <tr>\n"," <th>3</th>\n"," <td>804</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," </tr>\n"," <tr>\n"," <th>4</th>\n"," <td>805</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," </tr>\n"," <tr>\n"," <th>...</th>\n"," <td>...</td>\n"," <td>...</td>\n"," <td>...</td>\n"," </tr>\n"," <tr>\n"," <th>1206</th>\n"," <td>2007</td>\n"," <td>8.3</td>\n"," <td>8.6</td>\n"," </tr>\n"," <tr>\n"," <th>1207</th>\n"," <td>2008</td>\n"," <td>8.9</td>\n"," <td>9.6</td>\n"," </tr>\n"," <tr>\n"," <th>1208</th>\n"," <td>2009</td>\n"," <td>8.9</td>\n"," <td>8.8</td>\n"," </tr>\n"," <tr>\n"," <th>1209</th>\n"," <td>2010</td>\n"," <td>8.9</td>\n"," <td>8.5</td>\n"," </tr>\n"," <tr>\n"," <th>1210</th>\n"," <td>2011</td>\n"," <td>NaN</td>\n"," <td>NaN</td>\n"," </tr>\n"," </tbody>\n","</table>\n","<p>1211 rows × 3 columns</p>\n","</div>"],"text/plain":[" Year Reconstructed temperature Observed temperature\n","0 801 NaN NaN\n","1 802 NaN NaN\n","2 803 NaN NaN\n","3 804 NaN NaN\n","4 805 NaN NaN\n","... ... ... ...\n","1206 2007 8.3 8.6\n","1207 2008 8.9 9.6\n","1208 2009 8.9 8.8\n","1209 2010 8.9 8.5\n","1210 2011 NaN NaN\n","\n","[1211 rows x 3 columns]"]},"metadata":{"tags":[]},"execution_count":13}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"S7JLyvYE7YvF","executionInfo":{"status":"ok","timestamp":1622806729281,"user_tz":-180,"elapsed":415,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"5b6a6e5b-e56b-4ecf-8489-392f2eb82de2"},"source":["# Plot\n","f = plt.figure()\n","f.set_figwidth(20)\n","f.set_figheight(5)\n","\n","plt.title(\"Cherry blossom temp\")\n","plt.plot(cherry_blossom_temp['Year'], cherry_blossom_temp['Observed temperature'], 'o', label='Observed temperature')\n","plt.plot(cherry_blossom_temp['Year'], cherry_blossom_temp['Reconstructed temperature'], 'o', label='Reconstructed temperature')\n","plt.legend()\n","plt.show()"],"execution_count":14,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x360 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"sz6F_IWGpSUf"},"source":["### Airline"]},{"cell_type":"markdown","metadata":{"id":"yOBYxlBdpUWX"},"source":["Box-Jenkins univariate airline data set, which shows the number of international airline passengers per month from 1949 - 1960."]},{"cell_type":"code","metadata":{"id":"iU6wx3srn3jp","executionInfo":{"status":"ok","timestamp":1622806729283,"user_tz":-180,"elapsed":6,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["#!pip install sktime"],"execution_count":15,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"97ph26V7m6r-","executionInfo":{"status":"ok","timestamp":1622806729812,"user_tz":-180,"elapsed":534,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"8508a7d1-186e-4354-934d-28d06af84432"},"source":["from sktime.datasets import load_airline\n","from sktime.utils.plotting import plot_series\n","plot_series(load_airline())"],"execution_count":16,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(<Figure size 1152x288 with 1 Axes>,\n"," <matplotlib.axes._subplots.AxesSubplot at 0x7fbffcda7610>)"]},"metadata":{"tags":[]},"execution_count":16},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1152x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"SJBl40jNzlNb"},"source":["# Leave-future-out cross validation"]},{"cell_type":"code","metadata":{"id":"5cHStVlbKHYU","executionInfo":{"status":"ok","timestamp":1622806730432,"user_tz":-180,"elapsed":623,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["# L: How many observations needed before making predictions\n","# M: How many steps ahead wish to predict\n","def leaveFutureOutCV(X, y, model, L, M):\n","\n"," # Initialize matrix where i:th array has predictions for the i:th step in to the future\n"," all_abs_errors = []\n"," for i in range(M):\n"," all_abs_errors.append([])\n","\n"," # Train with 0 to i datapoints and predict to M steps ahead in the future. Saves all errors.\n"," for i in range(L,len(y)):\n"," X_train = X[:i]\n"," y_train = y[:i]\n","\n"," X_test = X[i:i+M]\n"," y_test = y[i:i+M]\n"," \n"," model.fit(X_train, y_train)\n"," predicted = model.predict(X_test)\n","\n"," # Save absolute errors\n"," for j in range(len(predicted)):\n"," all_abs_errors[j].append(np.absolute(y_test[j] - predicted[j]))\n","\n"," return all_abs_errors"],"execution_count":17,"outputs":[]},{"cell_type":"code","metadata":{"id":"-UeMuN-K9Vu5","executionInfo":{"status":"ok","timestamp":1622806730436,"user_tz":-180,"elapsed":11,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["from sklearn.linear_model import LinearRegression\n","from sklearn.neighbors import KNeighborsRegressor"],"execution_count":18,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"9JMUv6dK8bZX"},"source":["Linear regression"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"GPo_vCmmT2Uv","executionInfo":{"status":"ok","timestamp":1622806730436,"user_tz":-180,"elapsed":10,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"afda702d-2559-4a21-bf0b-3472bbaa76ab"},"source":["L=5\n","model = LinearRegression()\n","\n","errors = leaveFutureOutCV(np.transpose([np.array(years)]), np.transpose([np.array(water_levels)]), model, L, 10)\n","\n","# Average prediction error in i:th step to future.\n","for i in range(len(errors)):\n"," print(np.mean(errors[i]))"],"execution_count":19,"outputs":[{"output_type":"stream","text":["0.9636365207108785\n","1.0535607064580699\n","1.1282190732901158\n","1.1873081309234306\n","1.2300752768116205\n","1.269836215897243\n","1.2857329845605532\n","1.3047497281167533\n","1.3287711542901888\n","1.3537451790591997\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"2fKNYemP8Zhr","executionInfo":{"status":"ok","timestamp":1622806730437,"user_tz":-180,"elapsed":10,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["# Lets visualise predictions\n","\n","model = LinearRegression()\n","L=80\n","M=15\n","X_train = np.transpose([np.array(years)])[:L]\n","y_train = np.transpose([np.array(water_levels)])[:L]\n","X_test = np.transpose([np.array(years)])[L:L+M]\n","\n","model.fit(X_train, y_train)\n","predicted = model.predict(X_test)"],"execution_count":20,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":320},"id":"RyDFPET7944C","executionInfo":{"status":"ok","timestamp":1622806730438,"user_tz":-180,"elapsed":11,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"219f2d00-e97a-41df-b5bb-709dbac863e7"},"source":["# Plot data\n","f = plt.figure()\n","f.set_figwidth(20)\n","f.set_figheight(5)\n","\n","plt.plot(np.transpose([np.array(years)]), np.transpose([np.array(water_levels)]), label='Actual data')\n","plt.plot(X_train, y_train, label='Train data')\n","plt.plot(X_test, predicted, label='Predictions')\n","plt.legend()\n","plt.show()"],"execution_count":21,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x360 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"8Arqw_EqB3ZX"},"source":["kNN"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"wq4M9QzH2B0K","executionInfo":{"status":"ok","timestamp":1622806730439,"user_tz":-180,"elapsed":11,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"c5ddf03f-94b5-4465-bf2e-5dad8efddfb2"},"source":["L=3\n","model = KNeighborsRegressor(n_neighbors=L)\n","\n","errors = leaveFutureOutCV(np.transpose([np.array(years)]), np.transpose([np.array(water_levels)]), model, L, 10)\n","\n","# Average prediction error in i:th step to future.\n","for i in range(len(errors)):\n"," print(np.mean(errors[i]))"],"execution_count":22,"outputs":[{"output_type":"stream","text":["0.7698245614035003\n","0.97666666666666\n","1.069534050179207\n","1.160398550724635\n","1.195128205128205\n","1.1797407407407414\n","1.1683520599250938\n","1.1774999999999987\n","1.2121839080459762\n","1.247170542635655\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"zA6mA2nrU327","executionInfo":{"status":"ok","timestamp":1622806730440,"user_tz":-180,"elapsed":10,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["# Lets visualise predictions\n","\n","model = KNeighborsRegressor(n_neighbors=5)\n","L=80\n","M=15\n","X_train = np.transpose([np.array(years)])[:L]\n","y_train = np.transpose([np.array(water_levels)])[:L]\n","X_test = np.transpose([np.array(years)])[L:L+M]\n","\n","model.fit(X_train, y_train)\n","predicted = model.predict(X_test)"],"execution_count":23,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":320},"id":"8ihSc_D8DI-0","executionInfo":{"status":"ok","timestamp":1622806730942,"user_tz":-180,"elapsed":511,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"75236eeb-8cfa-44df-c4b9-a89d7893c599"},"source":["# Plot data\n","f = plt.figure()\n","f.set_figwidth(20)\n","f.set_figheight(5)\n","\n","plt.plot(np.transpose([np.array(years)]), np.transpose([np.array(water_levels)]), label='Actual data')\n","plt.plot(X_train, y_train, label='Train data')\n","plt.plot(X_test, predicted, label='Predictions')\n","plt.legend()\n","plt.show()"],"execution_count":24,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x360 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"Pf7b8qMlUaQS"},"source":["Lets try to use Sktime to Airline data\n","\n","https://github.com/alan-turing-institute/sktime/blob/main/examples/01_forecasting.ipynb"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"KheCLWT1sP4P","executionInfo":{"status":"ok","timestamp":1622806730943,"user_tz":-180,"elapsed":10,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"e2ffc66a-bb9f-4309-e9a1-6b5b5dca85b5"},"source":["y = load_airline()\n","y"],"execution_count":25,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Period\n","1949-01 112.0\n","1949-02 118.0\n","1949-03 132.0\n","1949-04 129.0\n","1949-05 121.0\n"," ... \n","1960-08 606.0\n","1960-09 508.0\n","1960-10 461.0\n","1960-11 390.0\n","1960-12 432.0\n","Freq: M, Name: Number of airline passengers, Length: 144, dtype: float64"]},"metadata":{"tags":[]},"execution_count":25}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"MvGHTlmCsy4K","executionInfo":{"status":"ok","timestamp":1622806730943,"user_tz":-180,"elapsed":8,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"68c5bdbd-ab0e-4b28-dc5b-59f267979b0e"},"source":["from sktime.forecasting.model_selection import temporal_train_test_split\n","from sktime.forecasting.base import ForecastingHorizon\n","\n","# Split data in time into train and test\n","y_train, y_test = temporal_train_test_split(y, test_size=36)\n","\n","# Define forecasting horizon points\n","fh = ForecastingHorizon(y_test.index, is_relative=False)\n","fh"],"execution_count":26,"outputs":[{"output_type":"execute_result","data":{"text/plain":["ForecastingHorizon(['1958-01', '1958-02', '1958-03', '1958-04', '1958-05', '1958-06',\n"," '1958-07', '1958-08', '1958-09', '1958-10', '1958-11', '1958-12',\n"," '1959-01', '1959-02', '1959-03', '1959-04', '1959-05', '1959-06',\n"," '1959-07', '1959-08', '1959-09', '1959-10', '1959-11', '1959-12',\n"," '1960-01', '1960-02', '1960-03', '1960-04', '1960-05', '1960-06',\n"," '1960-07', '1960-08', '1960-09', '1960-10', '1960-11', '1960-12'],\n"," dtype='period[M]', name='Period', freq='M', is_relative=False)"]},"metadata":{"tags":[]},"execution_count":26}]},{"cell_type":"code","metadata":{"id":"U0UtqyzGDKdr","executionInfo":{"status":"ok","timestamp":1622806730946,"user_tz":-180,"elapsed":10,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["from sktime.forecasting.exp_smoothing import ExponentialSmoothing\n","\n","# Lets use exponential smoothing. Seasonal periodicity is 12 due to seasonal data.\n","forecaster = ExponentialSmoothing(trend=\"add\", seasonal=\"additive\", sp=12)\n","forecaster.fit(y_train)\n","\n","# Predict time horizon with this model\n","y_pred = forecaster.predict(fh)"],"execution_count":27,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":299},"id":"L7vJtcxDtqCY","executionInfo":{"status":"ok","timestamp":1622806731300,"user_tz":-180,"elapsed":363,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"60c2c186-9d0e-4ac9-cb78-9b5780475b5e"},"source":["# Lets plot\n","plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])"],"execution_count":28,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(<Figure size 1152x288 with 1 Axes>,\n"," <matplotlib.axes._subplots.AxesSubplot at 0x7fc00d019d90>)"]},"metadata":{"tags":[]},"execution_count":28},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA7MAAAD4CAYAAAA+abFdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdeXzU1b34/9eZNTtZJwlbgmzKvu8oEJW2ioAo2CoK1Np7W6vWtt/rrffa3l/be9tbe1ux1e5YWy2gLIq4VRYFwiabsi+BQEKSISFkT2b5nN8fmaSETMgkmcnG+/l45JF8PnM+Z94zCTzm/TnnvI/SWiOEEEIIIYQQQnQlpo4OQAghhBBCCCGEaClJZoUQQgghhBBCdDmSzAohhBBCCCGE6HIkmRVCCCGEEEII0eVIMiuEEEIIIYQQosuxdHQAbZGYmKjT09M7OgwhhBBCCCGEECGwb9++Qq11kr/HunQym56ezqefftrRYQghhBBCCCGECAGlVHZTj8k0YyGEEEIIIYQQXY4ks0IIIYQQQgghuhxJZoUQQgghhBBCdDldes2sP263m5ycHKqrqzs6lE4jLCyM3r17Y7VaOzoUIYQQQgghhAiKbpfM5uTkEB0dTXp6Okqpjg6nw2mtKSoqIicnh379+nV0OEIIIYQQQggRFN1umnF1dTUJCQmSyPoopUhISJCRaiGEEEIIIToprQ08Ffm4S8/jqchHa6OjQ+oSut3ILCCJ7DXk/RBCCCGEEKJz0trAVXgY54YFeEqzscSk4ZizBlviMJTqdmOPQSXvjhBCCCGEEEJ0EG+lsz6RBfCUZuPcsABvpbODI+v8JJkVQgghhBBCiA6iva76RLaOpzQbvK4OiqjruOGTWcPQ5JdVk11cSX5ZNYah2+V5z507x+uvv96qa6dMmRLkaIQQQgghhBAdQZltWGLSGpyzxKSB2dZBEXUdN3Qyaxiaw/mlTF6+nX4/2cTk5ds5nF/aLgnt9ZJZj8dz3WszMzNDEZIQQgghhBCinZkjHDjuWlmf0Fpi0ki84w9or7uDI+v8umUBqDpPvXWYQ7mlTT7+H3cM5NHVh8gurgIgu7iKuSv28seFI/nxP075vWZkrxh+NXdYk30+99xzxMfH89RTTwHw7LPP4nA4ePLJJxu0e+aZZzh27BijRo3ikUceIS4ujrVr11JeXo7X62Xjxo3MnTuX4uJi3G43P/7xj5k7dy4AUVFRlJeXs3XrVn74wx+SmJjI4cOHGTt2LH/729+k4JMQQgghhBBdhFIm3KXZxN/6PLbE4aAUhZu+iefKGVIXbQMMtNeFMtswRzikKNRVbuh3IspmqU9k62QXVxFla32Ov2zZMl599VUADMNg5cqVPPTQQ43a/fSnP2X69OkcPHiQb3/72wDs37+fN998k48//piwsDDWrVvH/v372bJlC9/5znfQuvGI8YEDB/jVr37F0aNHycrKYseOHa2OXQghhBBCCNH+anI+4dKHy7D06Ie1Rz/ip/wX5ui+uIuPkbdqOjl/HkDequm4Cg/Ltj1XCenIrFIqFvgjMAzQwDLgBLAKSAfOAQu11sWqdjjxBeBLQCWwRGu9vy3Pf70RVID8smrS4sIbJLRpceGkxYez5RutW5eanp5OQkICBw4coKCggNGjR5OQkBDQtXfccQfx8fEAaK35/ve/zyeffILJZCI3N5eCggJSUlIaXDNhwgR69+4NwKhRozh37hzTpk1rVexCCCGEEEKI9ucqOoItfkj9DEt7yngSM35Dwfq7GlU5Tl20DUtkyvW6u2GEemT2BeB9rfXNwEjgGPAMsElrPRDY5DsG+CIw0Pf1GPByiGPDEWnnraXjSYsLB2oT2beWjscRaW9Tv48++iivvPIKK1asYNmyZQFfFxkZWf/za6+9xqVLl9i3bx8HDx4kOTmZ6urqRtfY7f+M1Ww2N7veVgghhBBCCNF5aK1xFR7Gmji0wXllCZMqx80I2cisUqoHcCuwBEBr7QJcSqm5wAxfs78AW4F/A+YCr+raubS7lFKxSqlUrXVeqGI0mRTDUmLY+cQ0ajwGdosJR6Qdk6lta07nz5/Pc889h9vtbrLIU3R0NGVlZU32UVJSgsPhwGq1smXLFrKzs5tsK4QQQgghhOiajEonRnURtoRrkllfleOrE1qpctxQKKcZ9wMuASuUUiOBfcCTQPJVCWo+kOz7uRdw4arrc3znQpbMQm1CmxIdFtQ+bTYbM2fOJDY2FrPZ7LfNiBEjMJvNjBw5kiVLlhAXF9fg8QcffJA5c+YwfPhwxo0bx8033xzUGIUQQgghhBAdz1V0BKBRMmuOcOCYswbnhgV4SrOxxKThmLMGc4SjI8LslEKZzFqAMcC3tNa7lVIv8M8pxQBorbVSqkX74CilHqN2GjJ9+/YNVqxBZRgGu3bt4o033miyjdVqZfPmzQ3OLVmypP7nxMREdu7c6ffa8vJyAGbMmMGMGTPqz//6179ufdBCCCGEEEKIducqOgo0TmaVMmFLHEbinX9EmWxYevSTasbXCOU7kQPkaK13+47fpDa5LVBKpQL4vjt9j+cCfa66vrfvXANa699rrcdprcclJSWFLPjWOnr0KAMGDCAjI4OBAwd2dDhCCCGEEEKITsxddARTWAImPyOuSpmoOvse+WvuxByeJInsNUI2Mqu1zldKXVBKDdZanwAygKO+r0eAn/q+v+W75G3gcaXUSmAiUBLK9bKhMmTIELKysuqPP//8cxYvXtygjd1uZ/fu3ddeKoQQQgghhLjBuIqOYEsYWl/J+FrWuEFobw2esvNYe/Rr5+g6t5BuzQN8C3hNKWUDsoCl1I4Gr1ZKfRXIBhb62r5L7bY8p6ndmmdpiGNrF8OHD+fgwYMdHYYQQgghhBCik9Fa4yo6StQtDzbZxho3CAB38UlJZq8R0mRWa30QGOfnoQw/bTXwzVDGI4QQQgghhBCdhbc8B+0qbbRe9mpXJ7Okz26v0LoEmXQthBBCCCGEEB3AVVhXyXhIk21M4UmYbD1qk1nRgCSzQgghhBBCCNEB6rblsV4nmVVKYY0bJMmsH5LMdpBz587x+uuvt/r6//7v/w5iNEIIIYQQQoj25i46gjmyJ+aw+Ou2s8ZLMuvPDZ/Mam3gqcjHXXoeT0U+Whvt8rySzAohhBBCCHFjcxUdve562TrWuEF4y3MxXOXtEFXXcUMns1obuAoPk7dqOjl/HkDequm4Cg+3KaF97rnn+NWvflV//Oyzz/LCCy80avfMM8+wbds2Ro0axS9/+Uu8Xi/f+973GD9+PCNGjOB3v/sdAHl5edx6662MGjWKYcOGsW3bNp555hmqqqoYNWoUDz7YdOUzIYQQQgghROekDS/uy8ewJgaWzAK4r5wKdVhdSqi35ulQRVu/g+vSoSYfj534fQo/+jqe0mwAPKXZODcsIPH233Flt/+RT1vSSBJm/KLJPpctW8a9997LU089hWEYrFy5kj179jRq99Of/pTnn3+ed955B4Df//739OjRg71791JTU8PUqVO58847Wbt2LbNnz+bZZ5/F6/VSWVnJ9OnT+fWvfy1b/gghhBBCCNFFeUrPoj1V1y3+VOfqisZ2x+hQh9ZldOtktjnKGlWfyNbxlGajrFGt7jM9PZ2EhAQOHDhAQUEBo0ePJiEhodnrPvzwQz777DPefPNNAEpKSjh16hTjx49n2bJluN1u5s2bx6hRo1odmxBCCCGEEKJz+Gcl4+ZHZi2xAwAl62av0a2T2euNoAJ4KvKxxKQ1SGgtMWlYYvqSev9HrX7eRx99lFdeeYX8/HyWLVsW0DVaa1588UVmz268d9Qnn3zCxo0bWbJkCU8//TQPP/xwq2MTQgghhBCiM9LawFvpRHtdKLMNc4QDpbrvqkj35aMAWONvabatyRKOJbqvJLPX6L5/HQEwRzhwzFmDJSYNqE1kHXPWYI5wtKnf+fPn8/7777N3716/ySlAdHQ0ZWVl9cezZ8/m5Zdfxu12A3Dy5EkqKirIzs4mOTmZr33tazz66KPs378fAKvVWt9WCCGEEEKIriwUtWw6O1fhESwx/TDZojC0QX5lGdnlxeRXlmH4ed2yPU9j3XpktjlKmbAlDiN10TbwuiBId4BsNhszZ84kNjYWs9nst82IESMwm82MHDmSJUuW8OSTT3Lu3DnGjBmD1pqkpCTWr1/P1q1b+fnPf47VaiUqKopXX30VgMcee4wRI0YwZswYXnvttTbFK4QQQgghREfyVjpxbljQqJZN6qJtWCJTOji60HAVHcGacAuGNjhcnM+8TSvILi8mLSqO9RlLGRaXgumqvMQaP4jqIzvRWqOU6sDIOw+lte7oGFpt3Lhx+tNPP21w7tixY9xyS/ND9aFkGAZjxozhjTfeYODAgR0aS53O8L4IIYQQQgjhj7v0PDl/HtDofJ9lp7HE9O2AiEJLe12c+00sPcZ8G9eYZ5iycTnZ5cX1j6dFxZF51xM4wiNxVlVQY3iwVBeiP1pKyt2rsET16sDo25dSap/Wepy/x27okdlQOHr0KHfffTfz58/vNImsEEIIIYQQncm162O1q9RvLRvMtg6MMnTcV06B4cGWOJQyw9MgkQXILi+m3F1NflUp925+pX7Eds30l0goz7+hktnrkWQ2yIYMGUJWVlb98eeff87ixYsbtLHb7ezevbu9QxNCCCGEEKLD1a2PrZtWbIlJI+mLr5H0hVe59P7D9eeCUcums3IV+Yo/JQzFbrKQFhXXaGTWZXjrE1moTXAXZG5g28xFSCpbq0XJrKpdTBqltS4NUTzdzvDhw2U/WCGEEEIIIXz8rY+99N6DpD6QSeqibXhKs9HuSmyJw7ptNWN30RFQZqxxg0kyWVkx7QGWbl/ZYM2szWzxO2LrQtbL1mk2mVVKvQ78C+AF9gIxSqkXtNY/D3VwQgghhBBCiO5Fe10NphNDbUKLpwpLTF+Kt3+fqgtb6Pvo2Q6KMPRchUewxvbHZAlj96Vs/n3fRtZlLCXOFo7NZKlfK+tvxNZScxno33HBdyKB3OoY4huJnQe8B/QDFl//EiGEEEIIIYRoTJlt9Vtj1rl6faw1bjDe8lwMV5m/y7uF2krGQwH488k9fF6cR7+oePpGxZESEY1JmXCER7I+YylpUXFAbSK7dvp9WA4835GhdyqBTDO2KqWs1Cazv9Zau5VSXbcEshBCCCGEEKLDmCMcJH3pdS69+xW/62Ot8YMBcBefxJ48tiNDDTqtDbwVBSTe/ltMlgjKXFWszDrIwn6jiLGFNWhrUiaGxaWwdtYSStzVpEfFEZu1hstn3kJ7alAWewe9is4jkGT2t8A54BDwiVIqDZA1s0IIIYQQQogWU8pE9cVdxN/2C2xJI1FmO+YIR/36WGvcIADcxSe6VTLrr/DVeyN/SrmnhmUDJ/i9xqRMaGDWey/zt9seZI4tErSBu+Q0Nt/I7o3sutOMfQWfCrTWvbTWX9K1m9KeB2a2S3RCCCGEEEKIbqcq621K9v4v1pg0LJEpDQo9WXv0B2XGfflEB0YYfP4KX/3x0DsMjo5niiO9yeuGx6UQZbGTWXAWa1zdqPWp9gi507tuMqu1NoD/d805rbX2hDSqdmRog/zKMrLLi8mvLMPQRkeH1CqvvPIKjz/+eEeHIYQQQgghxHVpbWAoE8aMl/x+BlcWO5Ye/XAVd69k9trCV6dM8exTCSxJH4JSTVcotpjMTEzqy05nNtbYgUDtFGwRWAGoj5RS31VK9VFKxdd9hTyydmBog8PF+UzZuJyb3vgJUzYu53BxfqdKaL1eb0eHIIQQQgghRNC4y3JxTvo5t27b0ORncGvcoG6XsF1b+OoN2xAs2uChfsObvXayI41DxRepNNkxR6R0u/emtQJZM7vI9/2bV53TwE3BDye4vr37LQ5dzm3y8f8YeQeP7ljdYCPieZtW8MepC/nxoX/4vWZkfC9+OXFuk30+99xzxMfH89RTTwHw7LPP4nA4ePLJJxu027p1K8899xzR0dGcPn2amTNn8tJLL2EymYiKiuLrX/86H330Eb/5zW84d+4cy5cvx+VyMXHiRF566SXMZjMrVqzgf/7nf4iNjWXkyJHY7bIIXAghhBBCdG6FHi8LMjc0+gyeedcTpEREA2CLv5nq85vQhhdlMndkuEFjjnDgmPMmzg33UVl6gfW2odydmk5qfL9mr53sSMfQmj2XznNLN0z0W6vZkVmtdT8/X50+kQ1EpNXmdyPiSKut1X0uW7aMV199FQDDMFi5ciUPPfSQ37Z79uzhxRdf5OjRo5w5c4a1a9cCUFFRwcSJEzl06BAJCQmsWrWKHTt2cPDgQcxmM6+99hp5eXn84Ac/YMeOHWzfvp2jR4+2OmYhhBBCCCHaS41h+P0M7r1q+V/VkK9hSRqJpyy7iV66HqVMaK+L+Fuf58Dt67is7Hx12O0N1gs3ZVJSGgpFpvNctxy1bq1mR2aVUhHA00BfrfVjSqmBwGCt9Tshj66NrjeCCpBfWeZ3I+K0yHg2f/EbrXrO9PR0EhISOHDgAAUFBYwePZqEhAS/bSdMmMBNN9XeF/jyl7/M9u3bue+++zCbzSxYsACATZs2sW/fPsaPHw9AVVUVDoeD3bt3M2PGDJKSkgBYtGgRJ0/KH7UQQgghhOjczNWFjT6D39NnKBcrS1m09VWyy4tJi4pjzfSXiC8vwNqjW4yjAVBz6XOuRPThpuRBbLg9jTt7Dgroulh7OENjk8l0nuNbiYMwqi/jrSrEHJ4Y4og7t0DWzK4AXMAU33Eu8OOQRdSO/G1EvD5jKY7wyDb1++ijj/LKK6+wYsUKli1b1mS7axd61x2HhYVhNtdOp9Ba88gjj3Dw4EEOHjzIiRMn+OEPf9im+IQQQgghhOgIWmsse/6LFVMXNvgM/vyEOfWJLNSO1C7I3ECxzf+gUFdkaIOziZOZuX8Pk995kcd3reNoiTPgej2THensupSNWYpA1Qskme2vtf5fwA2gta4Emi631YXUbUScedcTnL3/WTLveoJhcSmYAhjqv5758+fz/vvvs3fvXmbPnt1kuz179nD27FkMw2DVqlVMmzatUZuMjAzefPNNnE4nAJcvXyY7O5uJEyfy8ccfU1RUhNvt5o033mhTzEIIIYQQQoSat+wCh3L28+/732PtrCX1n8EtJrPfqceugNKVrsFZVc6929c2WivsrKoI6PrJjjRKXNWcsdTOzJTteQIrAOVSSoVTW/QJpVR/oCakUbUjkzLVLzQPFpvNxsyZM4mNja0fYfVn/PjxPP744/UFoObPn9+ozZAhQ/jxj3/MnXfeiWEYWK1WfvOb3zBp0iR++MMfMnnyZGJjYxk1alRQX4MQQgghhBDBVuM8wBu2oRwozKFPZCwJYbUzIpta/meuLgQGdFC0wVXtrvSfsBuB7Xo6Nbm2UNTuSjd3mKy4u9nWRa0RSDL7A+B9oI9S6jVgKrAklEF1dYZhsGvXrmZHS2NiYnjnncZLj8vLyxscL1q0iEWLFjVqt3TpUpYuXdq2YIUQQgghhGgnpQX7WW+7mXl9h9QnsvDP5X/zNq2oXzO7dvr9WHd9F/q83YERB4/VVeo3YbeZAknJoH90Aklhkex0nuehe9ZiDkvAU5GPOcIRUBGp7qjZd05r/Q+l1H5gErXTi5/UWheGPLIu6ujRo9x9993Mnz+fgQMHdnQ4QgghhBCik9LawFvpRHtdKLPthkhK3s49Q4lK4as3T2lw/urlf0U1FZwqvYQlfyfV597HW30Fc1hsB0UcPPbjr7J66ldYuGNdfcLekno9SikmJ6WTmX+SotN/w1OajSUmDcecNdgSh3X7vx1/AqlmPMb3Y57ve1+lVA8gW2sd2Jj4DWTIkCFkZWXVH3/++ecsXry4QRu73V5fjVgIIYQQQtx4tDZwFR7GuWHBDZWUvFam6GP1Miu18dThuuV/V1xVLNj8F34zaBCzqS10ZE6d0P7BBpHWmopjr3DIHcP/TbiHEXE9ibDYcIRHtqhez8S4BN6+cISCMicJgKc0G+eGBaQu2oYlMiV0L6CTCmRM+yVgDPAZtSOzw4AjQA+l1L9qrT9s6kKl1DmgDPACHq31OKVUPLAKSAfOAQu11sWqtpTvC8CXgEpgidZ6f2telNa6UaXgjjJ8+HAOHjzYoTForTv0+YUQQgghREPeSmd9Igs3RlJysuAYO0zJ/HtSj+smcIN6JBJvj2BvjfIls8cJ6+LJrOfKaYxKJ2+XVHJkzwZO3//9VvUzOc4BwH5zKnd4agfQPKXZ4HUFLdauJJDbABeB0VrrcVrrscBoIAu4A/jfAK6fqbUepbUe5zt+BtiktR4IbPIdA3wRGOj7egx4OfCX8U9hYWEUFRVJAuejtaaoqIiwsLCODkUIIYQQ4oZlaIP8yjKyy4vJryzD0Lo+ka3T3ZOSFUc2YdIGSwZNvG47kzIxKSmN3VeKwWTpFlvQVF/cgQZ2V3qY5ivk1BpjE3tj1QYHLP+84WGJSQOzLQhRdj2BjMwO0lofqTvQWh9VSt2stc5q5ejnXGCG7+e/AFuBf/Odf1XXZqG7lFKxSqlUrXWe316a0Lt3b3Jycrh06VJrYuuWwsLC6N27d0eHIYQQQghxQzK0weHi/AbFjdbNXIyj/1yqz7xV3647JyUew8tfc7OZ7jnPTX0mN9t+iiOdd3OOURFzMxGXu37V3urcHWSHp3PJVV1flbg1IqN7MjrOwYHiflCdWT893RzhCGK0XUcgyewRpdTLwErf8SLgqFLKjm/v2evQwIdKKQ38Tmv9eyD5qgQ1H0j2/dwLuHDVtTm+cw2SWaXUY9SO3NK3b99GT2i1WunXr/V/IEIIIYQQQgSTs6qiPpGF2u1Y5m/5K7tm/wbziMdxW2OwuktJiu7ZbZOSD3JPkOfR/MB2GZOt+W0xpySnA3Aoeii3FR8KcXShV31xBwfiJkMFTE++qdX9KGViSq9beLm0mKQH96NKzqANT7deZ309gbzqJcBp4CnfV5bvnBuY2cy107TWY6idQvxNpdStVz/oG4Vt0XxgrfXvfVOexyUlJbXkUiGEEEIIIdpdjeFptL9oSng0OS4XM/ZsZ9AHrzFjz3ZOEtmyD8ZdQN30akdYNG/NWsycgbc2fxEwPrEPZmVivzkV95XahK2r8lTk47lymn22viSFRTK4R9tymKmOm6gxvHzmNnPpvYeoOP56kCLteppNZrXWVVrrX2it5/u+ntdaV2qtDa11eTPX5vq+O4F1wASgQCmVCuD77vQ1zwX6XHV5b985IYQQQgghuiwbBmlRcQ3O/efIO7hvy18ajNbO27QCZ1VFR4QYEnXTq6dsXM6kd17giT3vUDBwMYY2mr02wmJjdEJPPvWEg+HGU3K2HSIOjZqLmQDsrjYx1dGvzYVqpyX3Y82sR4gOi8V872ZcJdk3bL2gZpNZpdRUpdQ/lFInlVJZdV8BXBeplIqu+xm4EzgMvA084mv2CFC3UOBt4GFVaxJQ0tL1skIIIYQQQnQ2lZVF/GHqwvqENi0qjgEx8Y1Ga7PLi3F14RHIa/mdXv3xyoAT9slJ6eyrqMaNCXdx1103W527A6c1gbNVFW0q/gS+ke6qUp7e8zaj3voFt2V+SP7Y/6SmC78/bRHImtk/Ad8G9lG7xU6gkoF1vjsPFuB1rfX7Sqm9wGql1FeBbGChr/271G7Lc5rarXmWtuC5hBBCCCGE6JR+f+YgOwrz+HDsJFRYPJaqS6jyC6RFxTVIaNOi4rCZAvl43jX4m17dkoR9SnI6Lx7bznFzIslduKJx9cUdHIyfBtW0OZn1d4NgQeYGPrltPjdiuddA/rWUaK3fa2nHWussYKSf80VAhp/zGvhmS59HCCGEEEKIzsptePlb9jHGRkVi3/oveEqzMcWkkTTvXdZnLG1Y4XjGQzjCIzs65KCxmyxtStinONIBOBA+kMldtKKx4SrDdekg+/rOJNKjGJ3Qq039NX2D4MacZhzIX9IWpdTPgbVATd1JrfX+kEUlhBBCCCFEN/DuhWPkV5VxH5+T9IW/YInqDWYb5ggHw4DMu57gYuUVciqKSbtyEFNSWkeHHDSO8EjemPkI9/vWBqdFxbE+Y2nACXvvyFj6RMZysOamLjvNuCZvN2iDPZ4wJjlSsJjMbeqvqRsE5opc3FfsWGMHtDXkLiWQasYTgXHAfwO/8H09H8qghBBCCCGE6A7+dGo3KfYwJudvwFOWgyWmL5bIFJQyYVImUiKiOV7iZP7mVzmUndnR4QaVSZk4UpzH/024h5Pzn2bHncsYGuvA1IJtZCY70vlU98DdBacZa21gsscSNvc9DpeXMdU30twWjvBI1mcsbbD+et2sRzDv/f+oOP1WM1d3P82OzGqtm9t+RwghhBBCCHGN3IoS3ss5zhMJYVicmvC+s/y2m+KoXUe563IBt7VngCGmtcHqkzs4UXCcD0v/jCcmDc+cNZgShwW8L+pURzqrzx4kp7qa3lWFmMMTQxx1cGht4Co8jPPdL/NRJejIuUwKqz3flj1hTcrEsLgU34h+CbmVJQyNTaHA66LyzFvEjvtOEF9F5xdINeNkpdSflFLv+Y6H+Io3CSGEEEIIETDD0OSXVZNdXEl+WTVGN1/n9+rpTzG0ZkHVfmxJo5pMxNKi4kg2edhT4WrnCEPLXVFAZkEWY93ZAHhKs3FuWIC30tnMlf80uW7drCW1S43OeiudODcswFOazV5zLyzaS7+dT7botTelbkT/ROkl5m1awYHLF4kYMJeavF14Km6szWACuS3wCvAB0NN3fBJ4KlQBCSGEEEKIru/axNXjMTicX8rk5dvp95NNTF6+ncP5pd02oTW0wZ9P7eG25HRSCz5uclQWQCnFhAgrnxpRaKMlm4d0bkeL8ylRNsZ7cuvPeUqzwRt40j4iPpUIs4X95q6VzGpPde1rBfZZUhnqvYS1NKtFr705s1Jr18duyjtFZP+5AFSe2RC0/ruCQJLZRK31asAA0Fp7aNkWPUIIIYQQ4gZiGLpR4ppdUsXcFXvJLq4CILu49thZUdNMb13Tx/lZZJUVsTg+Grwuwvo22syjgUnxyeSYYjjvPNpOEYbejssFADlzcUIAACAASURBVIz1/nO00BKTBmZbwH1YTWbGJ/bls4Rp2JJG4anIR2sj6LEGU03+XtyXj2OJSaMGM4fMKYzzXmzxa29Ocng0I+JS2XzxNNaEoVhiB1B5g62bDSSZrVBKJQAaQCk1CSgJaVRCCCGEEKLLclbUNEpc80tr6o/rZBdXUePp3IlJSxnaIL+yjGirnfUZS/mSrQzMNsJ6Tr3udVNTBgGQef5Ae4TZLjKLC0mxh3NTVCxQm8g65qzBHOEIuA+tDSZGR/JZWSmnX59C3qrpuAoPd6qEVmsDT0U+7tJsapwHKPr4u5R+9kccd63iSMwI3MrMRJu7xa89ELN6DmS78yzVXg8xI79J9IjHcJec6xJJfzAEsjXP08DbQH+l1A4gCbgvpFEJIYQQQoguq8ZjNEpcneU1pMWFNzifFheO3dL6YjidjaENDhfnN9g7ds3U+fQasgyTNeK6147rMw777s1kOs/x5XaKN5S01mwvOMukcDMJE57HljQSZQnDHOFoUQEkb6WTaVd2MDHjWyjrUoyqPC7v+hFJs17EEpkSwlfQmKENnFUV1Bge7CYLjvBIFNQWevKtj7XEpJE0+xUsCcMw26M5MeL78Pk27p73Kra4tDYVf/InI3UgvzryCdsLsri152ScGxfVx+GYswZbC4ptdUXNvjLffrK3AVOArwNDtdafhTowIYQQQgjRNdktJtLiwhuce/XTC6xdMr7+fFpcOG8tHY8j0t4RIYaEs6qiPpEFyC4vZsGOdbiHf6PZa8OiUxlhFLK7pHtMgDxfUUxOZQljyg5Ssv9XWHuk129J1BKG1qSO+RZP73mb4R/8hZn795I/5j/Run3XWtfdqJiycTk3vfETpmxczuHifDxVl+sTWahdE3zpgyXgrUIDU3oNZftdj6PDEglFxLem3IRFmdh0/lB9IlsXR0uLbXVFgVQzvh8I11ofAeYBq5RSY0IemRBCCCGE6JIirWb+tHBkg8T1v2YPZnhyNDufmEbmt6bxh/tHMiwlBpNJdXC0wVNjeOoT2TrZ5cV47LHNXquUYpzNzWcuqPK4QxViu9lWcBaAUVf2EJE+u9X9FGHjvsy3G94gyNxAIcFbexoIfzcq5m1aQaGX+gSyjqc0G601nxfns2z7KqZt/HV98msEeepvlNXOJEcamwvO+Y0jmAWnOqNAbo38p9a6TCk1DcgA/gS8HNqwhBBCCCFEV7XucD7PvnecDx+bxNlnM9j5xDSGpcRgsZhIiQ5jzWd53P2nPbi83WtNn91kIS0qrsG5tKg47M1MMa4zMToaN4p9RTmhCK9dbc8/S4zZxGCjiPD0L7S6HxcmvzcIXAGlMcHT1I2KEq+HsP5zMc15B2Phbkxz3sHcfx7Ha7zM95P8Oqsqgh5bRupA9hc7KY8Z0OB8sAtOdUaB/BXUVS6+C/iD1nojtPOtECGEEEII0WWsOniR/LIaBiRGkhYXQUp0WIMR2Ok3xePyGuy9cKUDoww+R3gkb8x8uD6hTYuKY+30BTjCowK6flJibwB25J0OWYztZXtBFuPMldgiU7AljWx1P03eIDAFUvoneJqKI6+qnNPjf8rM/XsZ9MFrzNy/lzNjf0KF1+s/CTc8QY8to+dANHB03M9qE1haV2yrKwokmc1VSv0OWAS8q5SyB3idEEIIIYS4wRRW1PCPk5dYNKoXSvmfQjw1PR6A7Wcvt2doIWdSJj67nMf/TbiHU/d+jy1jxtO/9CimANeJpiYNop+3mMy8YyGONLQKqys4VuJkTMVRwtPubPLvIBCO8EjWZyxtcINg3cyHcYRHBivcgONYNWNxwzhmLSXBauWRbSsbjMB+dcdqksOj/Sa/thAk4ROS+hJlsfNJuYvUhR+Tct9HOL70925f/AkCq2a8EPgC8LzW+opSKhX4XmjDEkIIIYQQXdGaz/LwGJovj+7ZZJuESBtDkqO6XTILsPrcIXIrrrC9fyxFm79J2COHA77WGjuIMd6/sbUwCa11m5LAjrTDt152bE0WEenNF7+6HpMyMSwuhcy7nuBsWSGVVUXcdHkvpsQ+wQi1RXG8e+EYyyfOZ3h8an014+zCM35HYMNMZtZnLG1Q2Xp9xtKQJOFWk5lbU25iU94pLFMWULB+DubInqTM3xD05+psAknVU4GNWutTSqkZwP3AnpBGJYQQQgghuqSVBy5ysyOKEakx1203tV88mecu4zXatyptKHkNg53Oc0xLvomqC5swR/fBEjsw4OstsQMY7cmjyOPhdGlhCCMNre0FZ7EpGGEUEtb39jb3Z1ImUiKieePcZ9y9+TWKTqwKQpQtY2iD357YycqzB0iLiiMlIhq8LkzlF/yOwKqrk/D7nyXzricYFpcS8Ch9S93ecyCnSgs5X16MLXkcNQV7273ic0cI5N1cA3iVUgOA3wN9gNdDGpUQQgghhOhyckuq+ORsEQ9cZ4pxnWn94imp9nAkv6ydogu9Q5cvUuauYZojjeoLWwnvM6tFo6vmsFjGWasB2OE8F6IoQ2+H8ywjKSGm5wTMYc1Xcg7U7T0H4VJmMi8eQxve5i8IooNFF3FWlzO7183156rOvot593Osm/FQg+nHdSOwdUl4X1/yG6pEFmBWau1Nk015p7CnjMeovoynJKvJ9oY2yK8sI7u8mPzKsqBXWW4vgUwzNrTWHqXUvcCLWusXlVIHQh2YEEIIIYToWlYfuojW8MB1phjXmd4vAYBtZ4sY0fP6o7hdxQ5n7fTaiREWHHevxhyWgNZGi9Yt3tIjmR6VHnY6z7Fk4PhQhRoyFe4a9hXm8GjVSSKGfCmofdfuqarYbsSzwHkAe8q4oPZ/PR/kngDgzl6D6s+VH/87Rul5hsX3IvOuJ3AZHmy+6cehTFz9GRaXgiMsik0XT/GVW8YCUFPwKdbY/o3a1u2Ze+0U6FCOHIdKING6lVJfBh4G3vGds4YuJCGEEEII0RWtOnCRMb16MCip+eq9aXHh9OoRxo5utG52W34WfcIjsb1/P/lv3k7B2/NwFR5Gt2DUyx43kNHGJXZ20ZHZ3ZfO49EG47wXCW/D/rL+RFntTEzoRaalD1XnNwW17+Z8kHucMQm9SA6PBsBbXUzlufeIHLwQs9nSbiOwTVFKkdFzIJvzTmONH4oyh1GT/6nftk3tmRuKbYNCLZB3eikwGfiJ1vqsUqof8NfQhiWEEEIIIbqSM4UV7LlwhQdG9wqovVKK6f3i2Xb2crdY26e1ZnvBGcZWHsdTmg2ApzQb54YFeCudAfdjjR3AaNc5jlwp4EpNVajCDUhrpqJuLziLQjPertu0JU9Tbu89hMMWB3nntwa976aUuKrIdGY3mGJceXo9eF1E3fzldoujOfenj+KlyfeSVVmKad4HeN3+k9Om9sytCcG2QaHW7DRjrfVR4Imrjs8CPwtlUEIIIYQQomtZeTAXgIUjUwO+Zmq/eFYevEh2cRXp8RGhCq1dnC4tpKC6krHVpxqc95Rmg9cVcD/WuIHcnpDMtImPkF9VSrXX0yHTVls6FdXQBs6qCr7Q+2YmxiXRMz8xJNWYZ/UcyH8d/JCPnTkMdldisob+72bTxdN4tcHsXoPrz5Uf/zuW2AHYHGNC/vyBMLRB36hYFmx+pf73tWbKv5LgdWM2N5xUa8MgLSquQUKbFhWHja63brbZfxVKqYFKqTeVUkeVUll1X+0RnBBCCCGE6BpWHbzItH7x9I0LPLmoWzfbHbbo2e5bLzsprOF5S0wamG0B92NJHIFj6g95es/bDF33c6ZsXM7h4vx2L9DTkqmodYnvlI3LmfzOcv5177tc6P9ASGKemNSXKLOZHaZUai5mBr1/f97PPU6MNYxJjjQAPOW5VOd8TNTNX+402yc5qyrqE1mo/X0tyHwbZ0VRo7YJuPj7lHkNilatmTKHRAK/6dJZBHKLZwXwMuABZgKvAn8LZVBCCCGEEKJrMAxNVlEFL84fzvJ5wzBasNXO0JRoeoRZ2Ha28QfurmZ7wVni7RFM+uJvaxNYahNZx5w1mCMcAfdTbE/ivswNHb6e8XpTUa+dfuysKm+U+M7f+npIYq7dU7U/O61922XdrNaaD3KOk9FzIFaTGYCKE6sBTdTgB0L+/IFq8vflaZygmpRi/f6/88L4uzk5+0G2jBlPyv4fdZrEvCUCqWYcrrXepJRSWuts4IdKqX3AcyGOTQghhBBCdGKGoTmcX8rcFXvJLq4iLS6ct5aOZ1hKDCZT8x+MzSbF1PT4blEEanv+WaY6+uHK20X8bb/AljQSZbZjjnC0qJpxjWH4TUpc7bye0W6y+J2KerGyhEvV5Szc8mr9dNb373ysXddgZvS6mXdzT3L6/A4mtLEvr+HBWVmCyzCwmUw4InpgNv0zRTp6pYCcyhL+o9dgtDbwVjqxp04mef67WPxUCu4oTf2+LDXFQN8Gbb32eH53xcuZzT/hZ6XrMcWkEd/Cmy6dRSD/smpU7b/AU0qpx5VS84HmS9QJIYQQQohuzVlRU5/IAmQXVzF3xV6cFTUB9zG1XzxHC8opquh6Uxzr5FeWcrqskOnJ/ag8vY6ST5/HGpOGJTKlRYks/DMpuVpaVBw2UyBjUMHjCI9k5YzFDaairpqxGJfXW5/IQm3Seqa00H/MIVqDmeHbU/XjK6V4qwpb3Y/X8HD48kWmvvdbblrzM6a+91sOX76I96ok/IPc4wDM7jUIV+Fh8lZNJ2/1rRRt+tcWV6oOJUd4JOszljb4fa2dtgDrwV82ars57wwlHjcLR86nz7LTpC7ahi1xWIv/VjuDQCJ+EoigtgjUWGAx8EgogxJCCCGE6EoMQ5NfVk12cSX5ZdUtmmrbldV4jPpEtk52cRU1nsA/4E+/KR6AHee67uhs3XrZqY6+uJwHsCe3fv9TR3gka2+9v0FSsj5jKY7wyKDEGiiTMvHuhaMsnzifrPufJfOuJxib2LvR6B/Ajw79gzUzF7fbGsxhcSkk2exkWnpTfWFrq/txVpYwf8tfG06P3vJXnJUl9W3ezz3B0NhkeioXzg0L2lSpOpRMysSwuBQy73qCz+d9l/+bcA9lF7ZQeXIVhruyQds3T3xMpHZxq7kES0zfVt106SwCqWa8F8A3OvuE1ros5FEJIYQQQnQRbZ1q25XZLSbS4sIbJLRpceHYLYF/MB7XOxab2cS2rMvcMzQlFGGG3Pb8s4SbrQxTZVzyVGJPHtvqvkzKxE3F+9kyZjz50YMpddc0WUE4lAxt8NsTO7mj7DJ39x1Sfz7MbG2U0OZXlZHiLmTLmPF4wpOwVF3Ctv9HqFkvhiQ2pRQZvW7mo6wrVGZvJnLQfa3qp+kp3bU3YyrcNWzLz+LxW6ahva76RLZOSytVh5pJmUiJiCbGZmfKxhe5Jz6W/9JeXJcOEtZzCgAew8uG3NPM9GSTMPgHHRxx2wVSzXicUupz4DPgc6XUIaVU6/+FCiGEEEJ0I8GYattVOSLtvP7gGNLiwgHqE3lHpD3gPsKsZib0je3aI7MFZ5mU1Bd96SAAtjaMzAJY7DEYG+7mneMf8cUP/0CJqzoYYbbIgaKLXKquYHbvwQ3O+5vOuj5jKbEmhenjb2JaPRHTx98kftJ/hnQNZkbPwRSqcLJTZuEuPY+nIv+6U36vLVqVVVLAqaamR5tqU6St+WdwGV5m9x6MMtvqC3vVaWml6vYSYbGxsN8o1hddpgIrNfl76x/7JP8MRQbcExeNOTyhA6MMjkAm3/8Z+IbWehuAUmoatRWOR4QyMCGEEEKIrqCpqbal1R4ckRpnRQ01HgO7xYQj0t6tRmtNJsXr+3P43X0jGOyIavVrXDSqJ716hHHuciVh1q71PpW6qjlUfJFnR95OTcE7KFsM1riBberTGj8Ux91vMMuI5r/PHGNL3inuTR8ZpIgDU7dWdFZsLO7S8yizDXOEo8F0VpfhwWayEHlxM8Wf/pzke9ZhssWAr20op65mpNYWX9q49w8kbPpKfeVof2s//e2Z+8epC9lw9gCrbvsKiz5+vf78H6Yu5Hcn9/K94TOIt0ew9YvfoH9MAoa3ksTbf0fhR1/HU5rdqkrV7WnJgPH86eRuPoiewOKCT+vPv3nkQ8K0m7uHfqkDowueQJJZb10iC6C13q6Uat9yakIIIYQQnVRTU21zS6ooKKvh4b8f6LbTj72G5i/7cjBQ/GZw6z7UG4ZmYt847n/10y75Pu28lI2hNdOS+1Fz/FPsjjFtSuK0NjBcJVz+5Lv0Kr1AZMy/8I+sPcxPG96u6xrfzznO6B4JeN/6AjlXJW+2xGH101kBvJVOcv7xNWxJI7EmDG237V16mdyk63K2eaJ4mH+uYU1dtA1LZMPp6v62Dnp0x2o2ZyymT2xPdnzxX3AZXiyeKt45tZ0PLxUxM3UgS7evrE9y106/j54n15Jy/2aU1u2SsLfFZEcag3sksaZyKAvza7cwMrTBW3lZ3OrNJWngvA6OMDgCefc/Vkr9Tik1Qyl1m1LqJWCrUmqMUmpMcxcrpcxKqQNKqXd8x/2UUruVUqeVUquUUjbfebvv+LTv8fS2vDAhhBBCiPbgiLTzxsPjGky1Xb9kPAmR9vpEFrrn9OMj+WWU13iZnBbXfOMmOCtq6hNZ6Nj36dqpqEYAlWq352dhViYmxqXguvRZm9bLQm1yWFdoyIrBeM8FPjq3r10LDV2pqWLXpWymXslstuBR0Sf/D8NdQcKsF9t1n1LtdfFQrI0nZv8A78LdmOa8g4pI9ruGtcbj8rs2VlkiMJsspEYlkBbjwLztSWbve5I/T72/PpGta3vvtjdxDf8G1ug+XaJoklKKRwaMZ7c7jNNlhXiritiVf4Z8r4l7EhMwWSM6OsSgCGRktm5Ow7UrhEcDGpjVzPVPAseAGN/xz4Bfaq1XKqV+C3wVeNn3vVhrPUAp9YCv3aIA4hNCCCGE6DAmk2LdZxdZPn8YI1JisPumyV4oqWpzpd/Obtf52g/7k9qQzAajInIw+JuKuj5jaZPFlwxt4Kyq4O4+Q7g15SasFTlguLGntG297LWFhqZ4LrDV2o8LZUX0i2yfAlmb8k7h1ZppFZ81OO8pzUZ7quv3WzVqSogcMB97z6nY4m9ul9jqWSL40qR/5cs71tb/vtbc+luSLY2TNJvC7x6stmty7/jpPyP3b6Oxeyr8Jr/eiOSQvJRQWTxgLP+x713WWm9hYsE+Vp88glV7mTd8TkeHFjTN3k7QWs+8ztd1E1mlVG/gLuCPvmNFbfL7pq/JX4C6Me65vmN8j2eo9ry9I4QQQgjRCkUVLn7xyVk2nSokLT6ClOgwTCZVP/34ai2t9NvZ7TpXTGKkjf4JrR/l6Szvk7OqotFU1HmbVuCsqmjUti7xnbJxOVM2vsjXM9/khBGGNWVCm4s/XVtoaKrnAgBbCvPa1G9LvJ9znB5WO+OuKeRliUnDU56Ly3mAvFXTyX11OJc/+S5hqRPbfb/VImz1iSzU/r4W7HiLIhoXZEo0w8qp8xtuHTR1Lonmhu1s8YOJGfkNTGVn/RaGsnfCYk/X0zOiB7N7DmCNbQiV+XtYn5fNVJ1Pyk1f6OjQgibU/0v8Cvh/UL9jcgJwRWtdt+Y2B+jl+7kXcAHA93iJr30DSqnHlFKfKqU+vXTpUihjF0IIIYRo1usHcnF5DZaO79PgvCPSzltLx7ep0m9ntzP7MpPT4to0vbSzvE81hqeJbVoal4rxl/jO//jveCf+CEt03zbFYY5w4Jizpj6hHRIVhcMWxpaigjb1GyitNR/kniCj5yBSv/R6fRyWmDQcd60CrXFufKDD91utMbxN/L68jdpawuN57/xhXpgwhxOzH2TrhGncEmbHEh7fqG3sxGexHvxlo71+181a0u57/QbDksGTKTBF8cszR7lgWJiXlIIyBTI5t2sI2StRSt0NOLXW+5RSM4LVr9b698DvAcaNG3dj7EguhBBCiE5rxZ7zjOnVg5E9ezQ4bzIphqXEsPOJaVwsqSanpJqbHVFdoqhRIC5XujhxqYKHx/VpvvF11L1P2x+fyunCSiKspg4p/mQ3WfxORb3iqqKnN5rCmipqDA92k5lSd43/aaiRqW1eN6qUCVviMFIXbcNTdgGjuohZ5wrZnHcarXXI16UeuZJPbmUJX+h9M9W5O4i/7f+wJY1Ame2YIxx4yi50iv1Wm/p92fwkah6tWX58F1+4nMNfpt0H5tQmizeZw+KIGbaMOKOErROm4bbGYHWX4lCVdMV/uXP6DOV2R1/GD3uELfYI0sOj8BoezN0koQ3lyOxU4B6l1DlgJbXTi18AYpVSde9ebyDX93Mu0AfA93gPoCiE8QkhhBBCtMmB3BIOXixl6QT/CZ3JpEiJDuPClWrmrdjL9rPFftt1Rbuya19LW4o/1TGZFL16hPPv7x7jqbeOdEjC7wiPZOWMxQ1G416Z/gDLj2xjhzObKRuXc9MbP2HKxhfRaP/7kxKcqbZKmbBEpuByHqRg/T3MiA4nv6qMo1faPjrbXJGrD3JOADC712AqTq6k9MByrDFp9QWPlNneKfZb9bff7boZX/E7evrRya1c0SbuCq8JqHhTWK9pFL73Fbzr7sC0eiLedXdwaf2X2n30ORgsCn4w7m6e3vM2M997mRkf/pHDly/i9TPjoCtqNplVSkUopf5TKfUH3/FA36jrdWmt/11r3VtrnQ48AGzWWj8IbAHu8zV7BHjL9/PbvmN8j2/WWsvIqxBCCCE6rRV7L2Azm/jy6F7XbZcxMBG7xcQ7x9pnqmh72JldjEnBuD6xQetz5oAE9ly4Qmm1O2h9BsqkTGy8cJTlE+eTdf+zZN71BFMd6Xx72G2NKts+s3cja2ctabgGc8oc4t3BvVkROWAuKBMTyw8CsOniqTb1d/Va39rEfDmHi/MbJLQf5J5gWGwKPa0WXM6D2HtObtDHtdOgO2q/1av3u90z5yl+NWEOCcf/5LdY1xvHNhGhXcwZ85WA+r62CBd0zOhzMDgrS3jok783nBK/5a84K0s6OLLgCGRkdgVQA9T9JecCP27Dc/4b8LRS6jS1a2L/5Dv/JyDBd/5p4Jk2PIcQQgghREjVeLy8vj+H+cNTiI+4/qhUlN3CzP4JbDzafZLZXdnFjEiNIcoevOmKGQOS8BqabVmXg9ZnoAxt8NvjO1l97iBpUXGkRERjNpmJstobTSl++8IRksOiyLzrCc7e/yzbZtxH0rZvYI8dENSYzBEOwnrfRvy5dQyITuSjvJNt6q+5Ilfl7hq2FWQxu/dgagr2gvYS1nNqgz6ungbdZ9lpUhdtw5Y4rEO2qanb77bS42L+5ldZfeR9DHfDgl0er5eNV8qYZa0gukdaEz01dG0RLuiY0edgcBlGE2uLu0dV9UD+6vprrf8XcANorSuhZVPGtdZbtdZ3+37O0lpP0FoP0Frfr7Wu8Z2v9h0P8D2e1cLXIoQQQgjRbt4+UsDlSnejwk9NuWtIMqcKKzh5qTzEkYWe19DsOX+lTVvy+DMlPY4wi4lNpwuD2m8g9hflUlhTwexeDbeYqVubebW0qDiUL5HqGxWHde+PMCryMEcGf+uWyAH34i4+ycz4BD7Jz8Ltp8BRINyGl4LqsusWudqafwaX4WV2r9r1sqAIS53UqK+6adCdZb/Vacn96B8eyRvmAVSefbfBYx+f/IhC7MzvMyTg/jrL6HMw2Ewm/1PiTd2jqnogr8KllAqndk9ZlFL9qR2pFUIIIYS4Ya3Yc57ePcLIGJgUUPu7b6lNdN7pBqOzRwvKKKvxMDk9uMlsmNXM1H7xbD7V/snsBzknUCju7DWowXl/azPXZyxtsDazpmAf9uSxIYkrcsA8QDHZnU2Zu4a9ly4EdN3Va2PPlhXxte2rOVtW5DexAcivLKNXRAzrMpYw1ZFOzcWd2BKHYbL38NN756KUYsnN09hj6c2x4281eOyNY5uwaQ/zxjzQgv46z+hzWzkierBuZsO14OtmLsYR0fl/r4EIZF7ID4D3gT5KqdeoLey0JJRBCSGEEEJ0VoahySmp4t9mDSTCagp4ulpafATDU6PZeLSAp2/rH9IYQ21nffGnxlubtNXMAYn8x3vHcZbV4Ihuv+15Psg9ztjEXiSFRTU4f/XaTJfhwWay4AiPrF+b6a2+jKfkDNHDloYkLnNkMmG9pjMm/30UM9mUd5IpyenXvaZubWzdlOK0qDj+NG0RURY76zOWNji/esbDnCu/zJJtK+vPrc9YSoL2YO85JSSvKRQeHjieHxx4n7/lXWSsuxKTNQKv4eWdK+XMsBnExlx/Xfu16kafuzqzycKw+J7s+OK/4DIMbCYTjogeN041Y631P4B7qU1g/w6M01pvDW1YQgghhBCdj2FoDueXcttLmcx8OZOFf93H4fxSDCOwmpV33ZLMtrOXuVLV/gWOgmnXuWISI230T4gIet8ZAxIB2HKm/UZni2sq2Xkpu9EU4zqmq6YUp0RENygy5CrYD4A9eVzI4osctICo4s94KH0oUx39mqxEXMff2tivbl9Fn8jY+sT8rK/IVUpEdH0iW9d23qYVeEZ9h7Brij91Zr0jY5mV4GCtZQAVZ98DIPP4++SpCOb3DXyKcXdkNllIjUogLSaJ1KiEbpPIQuBb84QBxUApMEQpdWvoQhJCCCGE6JycFTXMXbGX7OIqALKLq5i7Yi/OisBWYN09JBmPofngRNfb4uNqO7MvM6lvXEj2PB3buwcxYRY2teNU4015pzC0ZnavwS2+tqbgUwBsjjHBDqtexIB5WFMm8tjNU3l0x+omKxHXx2R4mlwbe21i7tXab1tPeBL2a4o/dXbLht7ORVMMHxx5B6idYmzRBgtGL+rgyESoBLI1z8+AHcCzwPd8X98NcVxCCCGEEJ1OjceoT2TrZBdXUeMJrDLoxL5xJERYu3RV48uVLk5cqmBSkNfL1rGYTczon8CWdiwC9X7OCXrYwpiY1LfF19YUa0iG5AAAIABJREFUfIo1biDmsOBtUXQtS2QqxtSf89D21U1WIr5aU0WrbH5G5Jpqa3WVYolu+fvRkeamjaCH0rxWWIy3powNJZVMs9WQ8P+3d+fhUVZn48e/Z5bsK4SQsIUdBJQtCMiiLO7iggVRUECttmq1+vbX2tdW29q+ta+vbV1aW4sKuAAuCFitG64Iguz7KgQSSEIgkH2d8/tjZuIk80wyk8wa7s91zZXkmWeeOc+cmcncc+5zn0T/F+YS4cGbkdnrgQFa66u11tMcl2sD3TAhhBBChC+bTZNfWkVOcQX5pVVep9lGumiLiazU2EbbslJjibZ4l+xmNimuOq8z7+8tpD5CH7P1DfNlAxPMgn3e7KFTFeScrgjYfThprfkwby9Tu/THrBR15fnUlhylrjwf7SGN1347G3Xl+SSPeJCOU//Z7L7+UB+f2WwlYlfpsfG8MvGWZotWue7btMDV2+OuIz7v04CMvAdSjMXKzC5ZfGjpzeoDn3FUJTBj0NSA940IHW8Spr8DrEgFYyGEEELw/bxRZ7ptVmosK+ePYkhGEiZTZH349VV6fDSv3DycW5dsaXTu6fHeFyq6+rzOvLIpl29yihnXy/8FlAJtXU4xJgWjugduJNI5b3b1wSJuvzCwo4M7i/M5XlHCFV0HUFO0k8J3b6SuJKdhORajKrZa27ze119iohLISkhtFNB6Gm21ac3jWz5i0YSbG/ZxFq3S2kZ9RSG6vgZljsIcl96owJVV11P/3vVYBt4ckPMItNuHTmN7zbvUJWbx2RU/pmvNcaqLDxGd2iciqxGL5nnToxXAVqXUP5VSzzgvgW6YEEIIIcJTW+eNRjIN/O6j/bx6ywgOPzKFdfeP9zmIv3xAJywmxb/3RGaq8Tc5xZyfmURCdOCKyAzOSKRzYrRfluhxXaLGqGjSh3l7AZiS2qEhOAWoK8mh8N0bqa9wn99cX1Ho9b7+0jk+leUTZng12vpl/nd8fOIAhVVljYpWOYPwE8smkPtSX04sm0BN0U4UNMyjTcz7hNr8DcREUCVjV8MSEvjjiCu4b8O/mfTB81y64Uv2VFVTV3k61E0TAeDNu9Aqx0UIIYQQos3zRiPZlryzfHKwiPmje7R6VDU51spdY3pwSZ+O5BRXEG0xkR4fHZJRbZtNU1heTXWdrcV22GyawrJqfn1pf8wmhc2mA9ZmpRST+6bx6cEitNatTnc1WqJmxZT5DEnNaKhI/GHePs5PzaRLdDS5juDUqa4kB+pr3I6r62saAtmW9vUXBQw01/D5heM5FtWFqpoy+lNuuDTU8pwdxJqtXNGkoJWnIDzzpq8alqGpOr4WZU0gKu38gJ1LIJ2yKeZ//WajucU3fr2Sr6+4m8wQt034X4vBrNZ6UTAaIoQQQojI4Jw36hrQZqXGYoqw+XWt8cmBkwBMdqTBtobNppkzsjs3v7oppGnavqSLhyK1fHLfNJZsyWN3QRmDMxJbdQyjJWquX/1yw5I0ZbXVfFVwmAcGTUCZo7AkZTUKUi1JWWCOcj+wrdb7ff2kvqKQk+/eQH1JDsujR/HXmLF8pT/iwps+arQeqk3bWJGzkyu6DSTe2jj93ZsgvPr4WqIzx6AidPmWGo3x3OLInKIuWuAxzVgp9Ybj5w6l1Paml+A1UQghhBDhJD0+mjdvy24ohJSVGsuLM4fymw/3UlHjXoymPVl9oIgLMpPonOj9HNmmCsurGwJZCF2ati/p4qFILXd+YfBpG6oaN7dEDcBnJw5Sa6vn8q4DMMel0+nKV+xBKfbgNG3qC9SeOdT4mIVbKFp9H2mXLmi0b/q0tzHHpbe6rS1xDUSn1+xBac2b1Uluo8HrCnM4UVnC9Cz3kVWlzA1tdnINwm3VZ6kp2hFR68s2FW2JMqzOHG0J3BcNInSa+8rlAcfPa4LRECGEEEJEBpNJ8fnBIv563RCGdkkixmpid0EpCzfmkhYfxYMT+1Bd33LaaqSprK1nzeHT3HNRzzYdJ1zStD21o6y6Hlv89+nHVpOJM1W1QW9zr45xXD+4MxdkJrY6Hdu57Ix70SQzYE8xjrdEMa5zL5QycXbLc6RN/SfWlL6gTJz++lHK9y8l/dqVRHc6H11TRl1ZHlhisaT0IfOmr+zBpKOQUiALDLmOHHfRZVxUd4zl0efzJ5O10X7Lc3YQZTJzTfdBbsco2bWItKn/pOiTuxsKV3W6YhGm2E4AVJ1YD2hiImx9WVfpsQmsmDLfLbU8PTYh1E0TAeAxmNVan3D8zPG0jxBCCCHOPVprnvv6CMO6JrFi/oUAZCTG8Ootw0lPiGbss2vaZZXjrw+fprrOxtR+rU8xBs9p2t4u7+Mvntpx7EwFBaVVzHn9+4rNH/xwTNDbbLNp/uuSvsx5fXOrn0/OZWdcA5t/jZvJkkNbmNF7KDf3Hs4Pel6A1WSi5tQuKva/QWzXccT2mAxA2qS/gCUGk8nMiWUTvq9cfM0bWBK6BLU6rjkunfRpbzfMeZ1pKeQB1YM1JaVMTrDPBtVa807ODqZ26U9SVEyj21fmfMLZb36DedIzDUF4XUUBpz9/kPgBs0gefh/Vx78GZSY648KgnZe/mZSpUXVm10rOov1pLs24VClV4vKzxPXvYDZSCCGEEOFjx4lSjp6pZNqgjEbbJ/VN4843toU8fTZQPjlQhNWsmNC7Y5uOkx4fzcr5oxqlafu6vI8/pMdH8+otwxu14515o0iJtTYEsmDvx4ff283yecFtc2F5dUMg62yHr88n18Dm8IxHWHv1T1AahnbswsT3/8bE9//G7WuWsbM4n8q8taBMxPW94fvbRyfTYcyvGkYywVE06d8zA1q52IhSJqLShpB501dkzvicW6Y8RrI1hoUHNzbss+lULjllxUzv2TjF2FZbTtHqe7Cm9iNx8Dws8RlYknoQ3Xkk5rjOlO9bRs3pfcT2uprO17+LssYF9dz8zaRMDdWZnZWcRfvU3Mhs62baCyGEEKJdW7U7H4Crz2s8PzBc0mcDZfWBk4zNSm3zkjQmk2JIRhJrfzKeg0XlKEVIRq+Vgj+sPsDim4fTwzHKmh4fzbGzlW79uHJXAX+bfj7r7h/vVeVjf/DX80kBabocbatBqSgGpXbmoveedSsK9fmFE4npOrFRMSUAbasLeuViT5QyYYnP4MyGP1K2ayE3DX+BVw5t5dkxlSRHxbL8yA7MysS13Qc3ul3x2seoKzlC5oxPMVliGh0v7YrF1BRuomDFNUFbM1cIf2n2GaqUMiul9garMUIIIYQIf+/uKmB0jxQykhqnMTrTVl2FIn02EE6V17A57yyT+3byy/FMJkVmUgwL1h/l+pe/xaaDX2p1x4lSPth7kkOnKshKjSMjMQaTSXnsR5NJkZEY02jfQPL1+WSzafJLq8gpriC/tAqbTRuuq1pVW2lYFKrWmkB8/xlux3XOVXUV6MrFLYnrfQ26rpKbEzSV9bW8cXgbWmuW52znksw+dIyJR2sbdeX51BQfIKbrBFLG/Q8xXce7HUvXllL00R1BXTNXCH9p9r+L1roe2KeU6hGk9gghhBAijJ0oqeLbY2eYNjjD7Tqj9NkVIUifDYTPDhahNUzt37b5sk1NG9SZ0xW1rMspbnlnP/tov32ZoUubnFM4pUF72w7n0kFjn1lDrz+sZuwza9iZX2K4rqrpzF7DareWqiLi+17vdmznXNVgVi5uSWzXiShrAucVfsmglM4sOvAtO4vzOVBSxPSs8xsF8XmLBnP6y58R1/NStHYf1Q7FmrlC+Is3eTKpwC6l1Aag3LlRa31twFolhBBCiLD0790FgD0Ia8qZPrvu/vGcKq9h/8lyqmrr20Xxp08OFJEYbWFU9xS/HveyAZ2wmhWrdhW0eS6urz7Zf5JBnRPomtx49NO1H4OVUmzE2Y41943j0KkKrI6/jdrhaemgPff2cwvUTOse4Z1Ll3LDp4saikK9Pe56YvctwNz7Urdju85VDVbl4pYoSzSxPS+j8sh7/HzS2yRao6m21fH25LmMS+9lGMQXvvsDMm/6yi2N2qf1dYUIM94Es78OeCuEEEIIERHe3VVAz9RYhmQYl9ZwpqKmxFiZ/Pw6xvZMbah4HMlWHzjJJX06YjX7N4BJirEyqU8a7+7O58lp7kupBEpVbT1ffneKu8ZmGV7v7MdQM5kUXZNj+a9Vu/n0YBF5j16KCfdg1tP82npldQvUdEUBg2JjGqrdWm3V1L//A2KH3O6xHc65quEkrvc11JbmMiS5Ezd+/mqjZWiSo5TXo61NqySHw8izEN5q8R1Za/2F0SUYjRNCCCFE+KioqeOTAyeZNjgDpZofpYuxmrlzTA/e3V3A4VMVQWphYBw+VcGhUxVMaeOSPJ5MG9yZ/SfL2VdYFpDjG/n6yGmq6mxc2s8/c4AD7ZYRXSkqr+GjfScNr/c0v7bS0sEtRbjTVUuwxHZoqHYbve1pags3E9fnuoCfhz/F9byS+gsfawhk4ftiVqfwfp6v68hz99sPknnTV1L8SUSM5pbmWeP4KUvzCCGEEIJPDhRRVWczTDE28uOxPTEpxd/XHglswwJs9UF7ADU1QIHfNefZH893HSncwfDRvpNYzYqL+wQ3tbm1rhiQTmqslSVb8gyv7xBr5eWbhrnNr+0QG90QqHW7/QAdpzxP8dpHsVXY+1RrTfmBt4ntPgVzbGQ8Fk7m2I7Ux3czLGZVY6snbeo/vZ7n6xx5tiT1wBKfIYGsiBjNLc0z3vFTlugRQgghBKt2FZAUY2Gil3M7u6XEcsOQDF7acJTfXt6fuKi2LWkTKqsPFJGZFM15nRMCcvysDnEM7ZLEu7vy+dklfQJyH019cuAkF2V1aPMyQ8ESZTHxg6GZvLYpj7LqOrd2L916nOfXHuH9O0cTF2VuMs9XNaQI67oKqvO+oujTe0m/5k1qCjZSV3KElNG/CsFZtV20yURWQmqjgDYrIRVTaQ5nvv1fMmd8BtoWFvN8hQgEr5/RSql0pVQP5yWQjRJCCCFEeLHZNO/tKeDKgelE+bDUzn3jelFcWcvrHkbUwpnNpskvqeLei3qy7NaRBHL1nGmDOvP1kdMUlVcH7k4cTpZVsyWvxO+VmQNt9vBuVNTWs3JXfqPtNpvmiU8PUllrY2B6QrNLB0V1OI/Ui35LfXk+tad2gclK+jVvERthKcZOaVHRvH3RtIbqzFkJqbxzyRzUVw8S1/MyLIndZLRVtGstfh2nlLoWeAroAhQCWcAeYHBztxNCCCFE+2Czab47Xc7SOSPpGGfFZtNeV7ad0LsDF2Qm8dyaI9xxYY8W59oGms2mKSyvbrFKr3OpF2eFXGfaqqdqum01bVAGv//kAO/vKeS27O5tOlZL57j6QBEAl/aPjPmyTuN7daB7SgxLNucxe0S3hu3v7DzB3sIylswZ4dXzK3HY/UR1HkXBqhsaFzyKjrx5otHJPclcczNfjH0QndKPKJMZ9eVPqSkvIHHoPaFunhAB580r9nFgDLBfa90LmAJ8E9BWCSGEECIsOIO6S//5DZOeX8u0lzawM78Em827YUqlFPeO68n2EyV89d3pALe2eZ7WIq2rs5FfWkVOcQX5pVUNwaDRUi+FARo5Hdktmcyk6Ialj1rL0zm69tdH+0+SGmtlZDf/LjMUaCaTYtawrny4/yQny+z9oLXmf1YfoF9aPD+4oItXx7FVFVH00e1Nlq25kfqKwoC1PZCikrKoWz6JblYz8TmrqNj7KqnjfofJEvpq1EIEmjfBbK3W+hRgUkqZtNafAdkBbpcQQgghwoA/grrZI7oytW+a4/bfB4zBZnQuj324jx0FpY2Cv015Z8kvqTZc6qW6zhaQtplMimsGdeaDfYVU19W3+jgt9ZfWmk/2n2RKvzTMEbj+7+wR3ai3ad7cdgKAD/YWsiWvhF9M7uv1+ej6Gq+XrYkEcf1nkn7V69SV5WKO6Uj8wFuJH3BTqJslRFB4E8yeUUolAF8CrymlngbKA9ssIYQQQoQDT+t3+hLUxVjM/OaKAcxdusXjaGEwGJ3Lbdndmb6wcfA3c/FGj0u9RPswX9hX0wZlUFZdz+eHTrX6GGcr65rtr30ny8g9W8XUCEsxdrqgSxJDMhJ5fUtuw6hs95QY5rikHbdEmb1ftibcaW1DmSyc/vJn5L0yjFOf3U/ycEkvFucOb96RrwMqgAeBD4BDwLRANkoIIYQQ4cEfQV1heTWzX9sctJRdT4zOJT0h2jD4S46xsHL+KLelXtLjowPWvin90pjQK5WkaItXI9g2m25Ijz5aXMGjH+xld0Fps/318X7HfNkIWV/WyIMTe/NfF/dhd0EpD13chyevGeRTUTJzXLrb2rPNLVsTzuorCil898bGKdPvzYrYlGkhfNViASittXMU1gYsCmxzhBBCiPDkbeGg9iY9PpqFs4Yxb+nWRoWQfAnq/DG66xcaFswcyp1vbGs4l8ykaLJSYxu1Lys1FpNJMSQjiXX3jw9an0ebTfz+yvO4xRH4N1d0yqhA1Yszh3K2spYV80dxvcv2hbOGEW1yBLP7TtKnYxy9OsYF7DwCyWbTDOua3DCanpUay4r5o3wqSqaUqWHtWeprInrZmvaWMi2ErwK2uJhSKgZ7anK0437e0lo/ppTqBSwFOgKbgFu11jVKqWhgMTASOAXcpLU+Eqj2CSGEEN4KdmXbcJJTXMnD7+3h7bnZdIyPalVQ5xwRbRowBjJl18jCjcdYuTOfz358EUrZ25UWG8XK+aPc+tZ5jhmJwSuiU1hezW1LtriNYK+7f7xbO4zmxt7xxjbW3T+e9PjohiC8oqaeu9/aRvfkWP549Xn8v0l9MJuUT8FfOCksr3ZLC7/ew2PUHKVMDWvPRjJnyrRrQBupKdNCtEYgV8quBiZrrcuUUlZgjVLqP8BDwF+01kuVUv8A7gCed/ws1lr3VUrNAv4EyOx1IYQQIeepqI6vH6Aj0Vvbj7P+6BlSY6PISm3daF56fLTHgDFYtNYs3phLxzgrPTs0Po9gj8B64ssIdnP7Ng3Cn7p2MKVVdVz897UR/2VM2IzyhwlnyrQz1TiSU6aFaA2PX4kqpVY7fv6pNQfWdmWOP62OiwYmA285ti8Crnf8fh3fpzG/BUxRoV6MTgghhODc/gD91vYTZHdLblNaqmvK7uYHJ/KX6waTmRTcgPHbY2fYW1jG3FHua7g6g7+s1DgyEmNCFuD5Mj/Zl327p8RyhyO1GkI3Z9kfQlGYK5y5pkx3v/0gmTd9RVRa5K2XK0RrNfdMz1RKXQRcq5QarpQa4Xrx5uBKKbNSaitQCHyMvXjUGa11nWOXXKCr4/euwDEAx/VnsaciNz3mXUqpjUqpjSdPnvSmGUIIIUSbePoAfaKkitKqWrc1StuLnNMVfHvsDDd6uX5nc5wBY6zVzPSFG3lpQ64fWui9RRtzibGYmOGHcwkU5wi2N0WntGP+rzf7tqcvY3x5jM4VzpRpS1IPLPEZEsiKc0pzacaPAr8GugF/bnKdc4S1WVrremCYUioFeAcY2Mp2uh7zBeAFgOzs7PbziUEIIUTYSo+PZumtI5n1yqaGNM1XbxnBv77JYc7I7ty+bGvEp28aeWu7fS3PGUMz/XbMAekJTOjVgRc3HOXnk/oQjCSs6rp6lm7J44bzM0mOtQb8/lrLdQQ753QlpypqGJSeaPhcenbNYT4/WMTnP74IHPN/PaVHh8ucZX8IRWEuIUT48vguprV+S2t9JfC/WutJTS4tBrJNjnUG+AwYC6QopZxBdDcgz/F7HtAdwHF9MvZCUEIIIURImUyKF9Yd4fkbL+DwI1NYd/94xmal8ssp/RsCWYjs9E0jb20/zoiuyfTuGO/X4945pgcHi8r58rvg/Jt/d1cBxZW13Jbt/VqkoeIcwT56ppJrXtzA+/vcl1ipqq1nwfqjdE6MJqtDXIvp0e1tNDNc0sKFEKHX4ldyWuvHlVLXKqX+z3G5xpsDK6U6OUZkUUrFApcCe7AHtT9w7DYXWOn4fZXjbxzXf6q1lpFXIYQQIbfjRAkvf5vLnsLSRh+grWbVbtI3mzpaXMH6o2e48QL/jco63Xh+JskxFhasP9rmY7muteopzXvxxly6JMUwNYLWVr1+SAZdk2P429eH3a5btvU4ReU13De+l1fHch3NdH4Z016yB4QQ57YWg1ml1B+BB4DdjssDSqn/8eLYmcBnSqntwLfAx1rrfwO/AB5SSh3EPif2Rcf+LwIdHdsfAh729WSEEEKIQHhxw1GsZsWtIxuP7LXnYjRv73CmGPt/jmlclIVbRnTjre0nKK5o/XqYziWTxj6zhl5/WM3YZ9awM7+kUUBbUFrNf/YVMmdkN8wRFLxZzSZ+NDaLj/cXsbewtGG71prnvj7MeekJTO6b5vXxZDRTCNEeefPf9mrgUq31S1rrl4ArgBZHZ7XW27XWw7XWF2ith2itf+fY/p3W+kKtdV+t9QytdbVje5Xj776O679ry4kJIYQQ/lBVW8+rm3K5YUgmaU3SMo3SN1dEcPqmq7e2nWBYlyT6pvk3xdjpztE9qK6z8drmvJZ39sDTkkmuad6vb8ml3qaZGwEpxk39cHQWUWYTz6050rDtm5xiNuWe5d5xvYIy31gIIcKZt18dp7j8nhyIhgghhBDh6J2d+ZyuqOWO0T3crnNN39zz80n8+drBHCuujPhRr9wzlazLKQ5IirHT8K7JjOiazIL1R/F2VpFrSnHe2UqKK2oN07zLqusb9h3TI5UP7xrDgE4JgTiNgEpPjOamYV1YvOkYJVW1ADz39RGSYiwRMf9XCCECrblqxk5/BLYopT4DFDARSQEWQghxjnhx/VF6psYyxUNKpzN9s3OC5geLNmI1K64e1DmiR80CmWLs6peT+2IyKQ4UlZMUY2m2Kq0zpdg5EpuVGssHPxxjWKX32JkKTpRUcduSLRFfZfq+cb14ZVMuizbm8oMLMnlz23HuGdeThGhvPsIJIUT75k0BqCXAGGA58DYwVmu9LNANE0IIEZ68KbjTXhwqKufTg0XcPrpHi0GQUooHJvZi6/GSoFXpDZS3t5/g/MxE+gdwNNNm0/RJi+ehVbsY+KfPDOe7ujJKKX74vd0sn9c4zfudeaPoEBfVEMg6943UKtOjeqQwf1Q3+qXFUVhWzbJbR/LgBO8KPwkhRHvn1dd6WusT2KsNCyGEOIcZjY5F6oiXN1769igmBfOyu3u1/+wR3fjle3t4+qvDXNzH++I8wWazaQrLq93W6bTZNLlnK3n8ioHER5mx2XTA+rWwvJobFrrPd113/3gyEmPc9q+us7mlFK/cVcDfpp/vtubosbOV7abKtM2muXtsT25yWeN45fxRAe0bIYSIFJFfblEIIUTQFJa1XHCnvairt7Hw22NcOTCdbimxLd8AiLWauXtsT1buyue7U+UBbqF3mo6k19XZDCsAV9fWsf1ECRf/fS2Tnl/LjMUbmx0pbSuj4LS5gNNT5WijKr3tqcp0YXl1QyAL7fs1J4QQvoq8d3UhhBBB0TQI2nD0NEeKK9rNiFdzbDbN/qJyXp89kj9dM8ingO6ei3piVopn17ivDxpsRkvXHDlTYfiFxKFTlYYjpYEKmnwNOGvqbCyYObRRSvFKD5WjjapMe9o33Pka9AshxLmk2TRjpZQZ2KW1Hhik9gghhAgDRunEC2YOxaKUYcGdSBzx8qStqdRdkmO4aVgXXtpwjN9ePoCkGGsQWm3MaJ5pQWmNYXBkNaugBk3OgNP1cX57brbHgPOlDcf4cF8hX9xzERoapUc35VplumkqdaRxBv3t+TUnhBCt1ew7oda6HtinlHJfj0AIIUS7ZRQE3fnGNs7rnNBuRrw88Wbt0pY8MKE3gzoncOhURUgLZRmN6hWWVRuOiMZYg5ua6xpwHvrvyfz1uiF8tO+kYcCptea1zbkkRFvokRrXKKW4ueM3TT+ORO1plFkIIfzNmwJQqcAupdQGoGECkNb62oC1SgghREh5Sm2srLM1BCBFZTUcKCrHpIjYQMGIP9I6R3RN5k9XD2L6wtAWyrKa3Ef1Fm88xvJ5o9zalpkQ4zZSGuigyRlwAvzuo/28veME947rRWJM448n3+QUc+hUBb+a2j9gbQlX7WmUWQgh/M2bYPbXAW+FEEKIsGIxeU4ndgYgcVYzFz23hhuGZLLo5uEhbK1/KWhzWmdheTVzl7ovDeOpUm+gbMo9w4KZQ7nzjW0NAepvLx/AoPREw+AolEHTXWOyWLQxlyVb87hrTFaj617ZlEus1cT08zOD0pZw4xr0CyGE+J4368x+ARwBrI7fvwU2B7hdQgghQuiFdTktFttJirEyN7s7y7Yep7C0/VRWfXPbca8LDXkSDkV7tNY8+uE+Xlp/lHU/Gc/hR6aw7v7xDMlIwmIxGabghjI1d0xWKudnJvLCupxG22vqbLyx7TjXD8l0G7EVQghxbmvxv4JS6ofAXUAHoA/QFfgHMCWwTRNCCBEKr2/O5fFPDvBCamyLo3T3jevF374+wgvrc9pFCujxs1X86oN9PDK1b5tGKMOhaM8Xh06x7XgJ943rRUZS+I/qKaW4a0wWP3lnJxuPnSG7ewoA7+8t4HRFLXNGdA1xC4UQQoQbb/6r3guMA0oAtNYHgPRANkoIIURo5Jyu4J7lO7ioZyrzsru3OEo3ID2By/p34p/rcqitj/ylQp78/CB1Ns3Nw7q1aYTSqGjPiiAX7Xn6q+9Ii4/ilggKAueM6Eac1cwL33w/Ovvqplw6J0Zzaf9OIWyZEEKIcORNMFutta5x/qGUsgDBL8kohBAh0nS91VBUpQ0k1/M7eKqckV2TeeXmEVjM3o0i3juuJ3lnq1ixMz/ALQ2s/JIq/rkuhzkjutInLb5Nx3Kdf7rjZxfz52sHU1JV55e0XW+ej4eKylm1u4C7x2YRazW3+T6DJTnWyk3Du7BkSx4lVbUUV9Tw790Z90wMAAAgAElEQVSFzBrWxevnoxBCiHOHN5NPvlBK/TcQq5S6FLgHeDewzRJCiPDQ1jVHw53R+S27daTbEi3Nueq8zvTqEMdzaw4zY2iXALY2sJ78/BA19Tb+e0o/vxzPOf+0Y1wU1770LR3jrKx/YAJKtf554+3z8dmvD2MxKX48tqcfziS47hqdxcsbjvH65jyUgpp6G3NGdgt1s4QQQoQhb77mfBg4CewA7gbeB34VyEYJIUS48Meao+HM6PxuemWTT+dnNinuuagnNfU2Dp0qj8gR7ILSav6x7gizR3SjX6cEvx7bajbxyyl92Zh7lv/sLWzTsbx5PpZU1fLyhmPcNLQLXZLDf65sUxf2SGH2iK707hjHsC7JvH/naIZlJoW6WUIIIcJQiyOzWmubUmoRsB57evE+rXXkfEIRQog2qKypD3lV2ubYbJrC8mq3QkWetjflr6q7d1zYneFdk5j6j3UhH8H29txd980vqea1W0YwrGtggqbbRnbnD58c4Hcf7efKgemtHp31pr9e2nCM0uo6HpjYu01tDhWt7YXFZr26KeTPJSGEEOGtxZFZpdTVwCHgGeA54KBS6spAN0wIIUJtV34pewvL3FJug12V1hNnyunYZ9bQ6w+rGfvMGrafKKG2tt5t+878EsOR0pKqOr+cX1W9jTsca5lC6EawjR4TT+fuuu+Iv3zJg6t2UVJVF5AR5SiLiV9O6ceGY2f4cN/JVh+noqbesL8On6og90wl+SVVjOqewsd3j2F4l+S2NjskCsurGwJZaH/ZEEIIIfzHm08rTwGTtNaXaK0vBiYBfwlss4QQIvhcC+vszi/lvuXbee7rw7w1N7tNa44GilHK6Q0Lv+XAqQqPqaiu57g17yx//fIQi24e3ubzC4d1VcG3tPBgp5DPy+7OtYM6YzEpr1Oxm/bXU58fZOGsYY36a8mckbyxNY/9J8sY++waJvzta+58Y5vHID7chctzSQghRPjzpgBUqdb6oMvf3wGlAWqPEEKEhFFhnYWzhjEwPYFO8dGsu388uWeqOF5SRc/UuLBId/T0od9qVobbz1TWcqKkmukLvz/HxTcPZ1TX5DatqQrhsa4qeH5MnEGh8xxTYiwUldcENWiymBS/nNLP6/RZo+fk4puHM6KLe391SYrm4r+vdQvM190/nozEyJo3Gy7PJSGEEOHP438GpdR0pdR0YKNS6n2l1Dyl1FzslYy/DVoLhRAiCIxG6eYt3Yrm+6q0SsH1L3/Lv9YfDW1jHZwf+l1lpcYSYzXebrPREMiC/RxvW7KFMzV1bVpTFYzXVQ3FCLbRY3Ld4M4cL6lulHq8LucM+SXVQU0h9zV91ug5eduSLZTWuveXdlzvKlJHM8PluSSEECL8Nfcfe5rjEgMUABcDl2CvbOz9mg1CCBEByqpbLvQ0slsKl/TpyNNffUdtfeiDhPT4aJbMGen2oT8zIcYwGIixmgIW8Liuq7rtIfu6quU19UEfwY4xm1gwc2ijc39y2iBmLN7YKCi8fdlW+qTFsSKIQZOv6bO+7O/pi41IHM10fS4dfmQK6+4fL8WfhBBCGPKYZqy1nh/MhgghRLA0rXZ7sKic4opar1IbH7q4D9e+tIE3tx3nlhGhXftSKXjmy+/414yh9OsU3yhF2BkMuKaiFpZXBzR90zmCnRprZfqib4m2mNj60MVYzMELqFbtLuD5tUf4+O4xWM0moi0mj0GhSSnON3icAhU0+Zo+azEpr/d3jmY2XX82Ukcznc8lIYQQojneVDPupZT6s1JquVJqlfMSjMYJIYS/GVW7ra6zsenYGZbPa3mU7qqB6QzoFM9TXxwi1KuUbc47y9Jtxzl0qtwtRdgZDLhuD1b6ZrTFzJPTBrG7oIx/fpPj12O3ZMXOfHLPVtG7Q3zDuTc3amn0OAWK0eO/ZM5Ij4//8u0n3EaZPfWXjGYKIYQ4F6mWPowppbYBLwI7gIbcJq31F4FtWsuys7P1xo0bQ90MIUQEyS+tYuwza9xGu76+bxwZiTFerU/6r29yuPut7az+0Vgm9U0LZvMb+ck7O1iw/ignHruMlFirV7fxZQ3WttBaM/Uf69h2ooQDD08mNS7K7/fRVEVNHZ0e+5D5o3rw3PTzG7YbFVIKhzVwD5+q4PGP9/P6nJF0TmwcoB4sKmfwk5/xqyn9+OHYrKCMHAshhBDhSCm1SWudbXSdN9WMq7TWz/i5TUIIERKeUk5rbdrr1MZbR3bjV//Zy5+/OBSyYLamzsbSLXlcNzjD60AWgpe+qZTiL9cN4UdvbWPfyTIyk2ICHox9uO8klbU2bjg/o9F2T2nXoQgKXR//qlobXx0+za8/2MsLM4Y22u/n/95NlNnEHaOzJN1WCCGE8MCbYPZppdRjwEdAQ8lFrfXmgLVKCCECxB/LfsRYzfzhyoF0jI/iYFEZCdGWoAdH7+0p4FRFLXOzQztvtzlDMhJ5ctpgbn51c1BGRFfszCc11srE3h3drgvHOZgD0hO4d1xPnllzmHsu6smwrskAfHqgiBU78/n9lQPpkhxebRZCCCHCiTef3s4Hfgg8ATzluPxfIBslhBCBkh4fzRu3ulcA9mXeqM2mye6ewkOrdtH/ic8Y+8waduaXYLMFbw7t4o3HyEiM5tL+nYJ2n74qLK9mzuubvV6Kpi1q6228u7uAaYM6Yw1iwam2evTS/nSItfLQql1oram3aR5atYus1FgenNg71M0TQgghwpo3I7MzgN5a65pAN0YIIQLNZFIs+CaHv08/n0EZia1KOS0sr+aGJuu1Xvfyt6y7f3xQRv9OllXz3p5CHpjQO6iVgn3l61I0nngzz/eLQ6c4U1nL9U1SjMNdalwUv718IK9sOsaegjJsaB67rD+J0WZireZQN08IIYQIa94EszuBFKDQlwMrpboDi4HOgAZe0Fo/rZTqACwDegJHgJla62KllAKeBq4CKoB5ksoshPC3LXln+deGYwzMSOTK8zq36hj+CtJaa8mWPOpsOqxTjKF1Kd1NA9e02Ch2F5a2WLzpnZ35xFpNXBbGI9We/HB0dwZnJHD1i+sbznHF/FHYHPO4hRBCCGHMm6/0U4C9SqkPfVyapw74L631IGAMcK9SahDwMLBaa90PWO34G+BKoJ/jchfwvI/nIoTwkc2myS+tIqe4gvzSqoY0WU/b24Nn1xwmzmpm/qgerT6Gp6VeooI0Srp4Yy4juiYzJDMpKPfXWkZL0bw9N9tjSrfRsklHzlQ0BLJgnKpss2lW7sznigHpxEV58x1teDlVWcu8pVsbneP1AUrHFkIIIdoTb/7rP9aaA2utTwAnHL+XKqX2AF2B64BLHLstAj4HfuHYvljb1wr6RimVopTKdBxHCOFnRsuVvDNvFFkpMeScqWpIow3lMib+VlRezZItecwb1d2nCsBNOYM018duwcyhLNuax08n9mlzOz2l1dpsmiPFFTx17WCSYyxhP3LnWkW4sraeHSdKWbkznxHdUgz3LyyvdgtcC0prWhwF//bYGY6XVEVcirFTqEf6hRBCiEjVYjDrj/VklVI9geHAeqCzS4Cajz0NGeyB7jGXm+U6tjUKZpVSd2EfuaVHj9aPrAhxrjMKHG5Y+C3v3TE6pPNBW9KWdVIXrD9KdZ2Ney/q2aY2GC318vqmXH727z0kxVi5/ULv3puMzgUwXBN1UHqiV+m24ca1ivDza3P48xeHuDW7O33T4t32rap1D+oKy6oNU5UtTVKMLSbFNa1MGw81f1TYFkIIIc5FLf6nVEqVKqVKHJcqpVS9UqrE2ztQSiUAbwM/1Vo3up1jFNan/EWt9Qta62ytdXanTpE3N0qIcOFpNCjKosJ2lMgoDdXbKsJ19Tb+sTaHSX06+iU91xmkZaXGkZEYw/0TenNp/zRe2pDDgZNlLaZoG53LhmNn2JJ31jCtdv+p8hbTbcPdgxN7YzWb+NNnBw2vdwaurhZvPMbyeY1TlRfMHMofPt5PZW09Wmve2XGCS/p0JDUuKuDnEAhG6di+VtgWQgghzkXejMwmOn93FGm6Dvsc2BYppazYA9nXtNbLHZsLnOnDSqlMvi8slQd0d7l5N8c2IUQAVNTUexwNCtdRIqPRZG9Hjd/dXcDRM5X85brBAWmbxWzijTkj2XKihMte+KbF0VOjc7n51U38587Rhl8mWE3h+yWDtzKTYrj9wh4sWJ/Do5f2p3vK94HrF4eKePi9Pbx6y4iG5XyyUmP57eUDGJSe2GgUfGveWf65/ijxURZ+NK4nL8wYSnJs+Kdde2I00h/sdYuFEEKISOTTp1NttwK4vKV9HYHvi8AerfWfXa5aBcx1/D4XWOmy/TZlNwY4K/NlhQiMgtJqHlq5k4WzhrmNBmUmxLiNEi2YOZQNR4tDXhSqLXMLn1tzmB4psUwbFLhU1Mp6G/ObFPLxNHrq6Vxio8yGxaVirMZFp8LhSwZf/PySPmgN//f5oYZtxRU13LZkC6cqahmWaQ/qDj8yhXX3j2dIRhIWi6nRKPgVAzuzZM4Irjgvnan/WMek59dyw8vfBn2tX39qOtIvgawQQgjRshZHZpVS013+NAHZQJUXxx4H3ArsUEptdWz7b+AJ4A2l1B1ADjDTcd372JflOYh9aZ753pyAEMI3WmvuWLaVL747zbPTYw1HgxqNEplNrNp1gj5pCYx9Zk3I5mvW2zTHS6oMR41PldfQIyUW+3dojTmLJj162QASos2YDPbxF1+C7Siz8Qh4XJTJrbiU65cMTbdHWipqVoc45ozoxoL1OTwypR+dEqK4d/kOjpdU8/V944iPsRAf03Jtwom9OzY8HyH85nYLIYQQIvC8qWY8zeX3Ouxrw17X0o201msAT58apxjsr4F7vWiPEKIN/r72CO/vLeSZ64cYFuGBxkV7AK4dnMnYZ4MfODgLJNkLA1WweOMxXps9gtmvfZ+G+sotw7l3+Q4u7d+JH43NotamWyymFKgg3JcU7Q/3FbJg5lDufGNbo7Z1jI2mY2x0y18yRHAq6i8m92VPYSlHiisoKq9hxtAuTO2fxoU9Ur0+hlQAFkIIIYQ3c2ZlhFSIEGpL9d6mxyirrqNbciwPTOjFveN6en376vrgBw5GSwctnTOSkV2TGwV0neKiuHtsFt1TYhn33NcN+742ewRmpZj16qagBeGeluwpKK1udH87T5Two7d28NDEXqz7yXiq69371qh9Tb9kiFT90uJ5ctogbnplU8PjtGL+KJ/mvIbz3G4hhBBCBIfHYFYp9Wgzt9Na68cD0B4hhAujgM7XkUWjYyyfNwqtwduM21AEDkYFkma9uskwEL1iYLpbyuns1zbznx8aF1MKVBDedPTUrBQPrNjB+qNn2fTgRDonRlNbb2Pu0i0kx1h48OI+dEqIrDRhfygsr+bW17c06q/rffySweiLg0hMuxZCCCFE6zX3SbTc4AJwB/CLALdLCIHn6r3NLcdis+lGhZpOlFS5HWP6Qt+WdDFaOuTVW4b7LXBo2uaC0ipyz1R5HYh6LKZkNS6mFMgg3LWQT7eUWB69bACnK2r47Yd7OVFSxe6CUn41tT9Lbx1xTgay4J8UYdcvDlyLRUVi2rUQQgghWsfjyKzW+inn70qpROAB7EWZlgJPebqdEOHMKGUXaHMab6D4+qHfaBT2Az+MTjYdcSworeaBFTv51dT+XN3G6sBGbX5x5lA0eD0a7Gnk2FMxpWCO3g3tksybc0cSYzFz0bONC2hF6lIybeWvkf72knYthBBCiNZp9pODUqqDUur3wHbsge8IrfUvtNaFzd1OiHDkDJrGPrOGXn9Yzdhn1nCgqIwdTbaF0/Iezg/9rrJSY6n30D6jkdxDpyr8MjrpOuI4tEsSFbX13PXWNk5X1Hh9jKYjsM4vF5q2+Y43tnFeeoLbaLCnQNRo5NhZTCkcRu9GdktpKPQE3o2wt2ee+ktShIUQQgjhi+bmzD4JTAdeAM7XWpcFrVVCBICnQO/e5TvCdnmP6tp6t4q3L900jHve3s5zN5xPQoylYURZgWFq7uMf72f5vFFMX+i/0cloi5mFs4Yz+umveGDFTl65ZUSLtzEagX3ztmyizCbDkeNam/a6em9LlX5D3ZdSebex9lSZWQghhBCh01w14/8CqoFfAY+4rN+osBeASgpw24TwK6OAIj7KYhhkVNWGR5Dx8Pt7yS+p4st7x2HT9iVnqmrrsZgUx85WcfsLW1tMzc0vraZbivFSL20xvGsyj0ztxwd7C9mdX0p8tLnZYxt9mTBj8Ubeu3O0x5RTX9JIwznlVCrvugvn/hJCCCFEZPD4SUprbdJax2qtE7XWSS6XRAlkRSQqrapzS7ctr3HflpUay8GicgpKq9xSYoNpc+4Zlm09zvjeHemeEktWahwZiTH07BDPs9Mv4PZlW91Scwd6SM3tGBvdkCKckRjjtxGwX07uyxNXn8fVL65vMU3b0+hkcoyl3aecSlqtEEIIIYT/tbjOrBDtwZHTFTywcieLZg1n7tItDaOZfTvGsWL+KK53SX1947ZsXl6fg9nUtSFgbM2SOG31yH/20iHOys8u7uN2nUlhGBjW+ZCa6w+nK2uZt3SrV2nankYnzedAyqmk1QohhBBC+J8Es6Ldq7dpbluyhW3HS+jdMc4toADctnWc1Jcp/1gXsrm0nx0s4sN9J3nymkEkx1rdrm8ubTWY6Zu+zAXdV1jmNv/XOTp5LqScngvnKIQQQggRTBLMinbviU8PsObwaRbfPJxuKbGG+zQNMswmFZKCPTabprCsmlirmXdvv5DJfTsa7udMWw3lkjPQTFBtbjyD4WhxBdMXbuSaQel8fd94am0yOimEEEIIIdpGgtl2LtLWVfUX53mXVNUxOCORR6b0ZfaIrl7fPhQFe4yq/XpKbQ6XtFWjoHrBzKGs2pXPXWN7AlBbb+OW1zZTZ9P8+tIBdEmW0UkhhBBCCNF2SuvwWE+zNbKzs/XGjRtD3YywZRQcffjD0VTW2RrNEQ32XNBAMzrvd+aN4oJM78/R6BjLbh1JdrcUvzxORl8yFJZXM/aZNW4BdLgsE+RJo3Mxm3hxw1F+/cE+XrtlOJP6pZFfUs3h0xXEWc1cPjA91M0VQgghhBARRCm1SWudbXSdjMy2Y0ZLoRwM83VV/cHovG9Y6Ns5Nh353F9YxuMf7ef1OSNJjGnby8YoUF46ZyRWc2hSm9uq6VzQhyf3o6y6jvTE6Ibg3Pmlic2m282XJkIIIYQQIrTO3UUOzwEVNfVer6saTgGTzabbtCSOL0WJmuMM0rJS40iMsfLe3kJ+/8l+n45hdC5GwfasVzcRF2U2XCYo0tYiNZsU90/o3VDoCb7/0qSwvDrErRNCCCGEEO1FZH1KFl7bf7KMfYVlXq+rWlZdH8zmeeQctRz7zJoW1y31JMps8ntQOCYrlfkXducvX37H3sJSr25jdC7f5p7hREmVYbCdFN1+1lutqffPFwpCCCGEEEJ4IsFsO+E6AnjgZBk/Wb6Dp7/6jrfmZjcKjpzrqrpuWzRrOHe+sZXn1x4mv6T1I6L+YDRq6RzR83bEdvWBkyyYOdTvQeEfrzyP+Cgz97+zE2/mmhuOwL6yiViL8Qisa2rz4UemsO7+8RE7l9lZQMtVJI4yCyGEEEKI8CVzZsOAUTEgXwIYozmYL88aRp8OcXRNjm1xXdWUGAvXDupM/04JjH228RzHYAdTnlKET5XXkHumihmLNzbbvqPFFfz47R3cPTqLdT8ZT3W9/yr9pidG87srBvL65lz2FJQRH21u9tieziUpxuJxWZ32shZpuCwdJIQQQggh2i+pZhxizS3HAt4toZNfWtXmKrj+OEZb1ds063JOc+vrW9za8f6do7lqwfoW23fDyxv4eH8Ru/7fJWR1iPN7G2vr6lmbU8y8pVtbDPqbe0yd1YvPheWR2vM5CiGEEEKIwGqumrHk/IWYp7TaU5XVXs8d9UfBI38VTWotm03zwze38f/e3c3rs0e6pQjHWs0ttm/lznxW7irgscv6BySQBThVWdsQyDrb4KmwUYzZxEszhxmmO7sWl8pIjGmXQd65cI5CCCGEECJ0JM04xDwFkWcq6gyD3KYjkTab5kRJFVmpsW4jgL7MT3TOcXQ7hjlw33e4jtzlnqliT0Eplw9IZ3SPFLfU6MLyasP21dXb59FW1dqwmhW3DO/CTyf2DlibfQn6H/1oPxuPFrP6R2Mxm5SMTgohhBBCCOFHEsyG2OnyGsMgzaYxDJqcRZCq62xEm038a30O7+8p5LXZI5j92uZWz080muO4YOZQVu3K566xPf11ug2M0qtfnz2CC7unGM4bNWrfW7eNJPdsZaOU37fmZmNWgQsWPQb9Tb442FNQyvNrj3Dn6B707hgfsPYIIYQQQghxrpI5syGiteY3H+3no32FPDltUMM80YZANCG6oRiT03WDO/PrS/tz46KNjQLO74rKuf3CHpysqGnT/MRGcxzNJhZsyOHRD/bzzvxsRvdI9evcx9bM0W06B1NruOjZ4M7z9VRsa1TXFOJjvv9u6Kp/fcPanGIOPDyZTglS9EgIIYQQQojWaG7OrIzMBpFrMHaipIqP9hVyXudERnd3T6sF3EYi/3TNIC5/4ZtGqcd3vrGNdfePx2w2tTmAazoi+otJ/ThZWkNClKUh8GypyrG3RX/OVtb5PEe3aftyiiuCPs/Xdfmc6jobVbU25i/dQlaHOF6fPQKlFP/ZU8AH+07y5DWDJJAVQgghhBAiQCSYDRKjEb3XZo/gwm4pWCwmMhLNbrdxDZqiLSaqa4NbpMlqNvHzyX0Z/9zXLc7d9XSORpWZC0urOVtVF7h5vgFey7RpUH3dkEx++f4epg1KZ1LfTiTHWnnvzguZ3CctoO0QQgghhBDiXCbVjAPEObc1p7iC/NIq8s5WuhV0mv3aZooqazweo2k12GirqaEyrlOgg7c6m/Y6gPZUmXlPQQmb8s42VGae+com0uKtrJg3yrDSr7ec82jbcgx/+PmkPvz8kt50TozhomfXMP65r7nn7R3sO1lmWH1aCCGEEEII0XYyMhsARiOUH/xwdJtHVY2KIAU6ePNl9LO8ut7wHK0WMzNfapwefcPCjWz46Xi39Gpf5uI2TfkNVbVgpRQ/mdDb6xFsIYQQQgghRNtJMBsARiOUh05VtDklNhTBm1EA/dJNwyirqoPE7/fbnV/K4dPG52gxKcMgt6LGRlZq29aDNap8HAq+jGALIYQQQggh2k6C2QAwWov08Y/3s3zeKKYvbNuoarCDt6YBtNZw3/Lt1Ns0f7vxAswmRV295sGVO7GYFW/PzW5UbXnl/FHEWc0hmdsaTKGavyuEEEIIIcS5KmBL8yilXgKuAQq11kMc2zoAy4CewBFgpta6WCmlgKeBq4AKYJ7WenNL9xGuS/N4WnZmw0/HU28jpCmx/nD4dDlHTldy+7Lv13d9+aZh9O4YR7fkWLdqxoDHwlCReP5Gmit+1V7OUQghhBBCiGBrbmmeQAazE4EyYLFLMPu/wGmt9RNKqYeBVK31L5RSVwE/wR7Mjgae1lqPbuk+wjWYbe+BjT/WiI3UQL4558I5CiGEEEIIEUwhWWdWa/2lUqpnk83XAZc4fl8EfA78wrF9sbZH1t8opVKUUpla6xOBal8ghUthokAxSqP2dY3Y9uhcOEchhBBCCCHCRbDnzHZ2CVDzgc6O37sCx1z2y3VscwtmlVJ3AXcB9OjRI3AtbaP2HNjI/FAhhBBCCCFEqIUs+nCMwvqc46y1fkFrna21zu7UqVMAWiZaEi7ruwohhBBCCCHOXcEemS1wpg8rpTKBQsf2PKC7y37dHNtEGGrvadRCCCGEEEKI8BfskdlVwFzH73OBlS7bb1N2Y4CzkTpf9lzhTKPOSo0jIzFGAlkhhBBCCCFEUAVsZFYptQR7sac0pVQu8BjwBPCGUuoOIAeY6dj9feyVjA9iX5pnfqDaJYQQQgghhBAi8gWymvHNHq6aYrCvBu4NVFuEEEIIIYQQQrQvUn5WCCGEEEIIIUTEkWBWCCGEEEIIIUTEkWBWCCGEEEIIIUTEUfbpqpFJKXUSeyGpcJYGFIW6EaJNpA/bB+nHyCd92D5IP0Y+6cP2Qfox8p0rfZilte5kdEVEB7ORQCm1UWudHep2iNaTPmwfpB8jn/Rh+yD9GPmkD9sH6cfIJ30oacZCCCGEEEIIISKQBLNCCCGEEEIIISKOBLOB90KoGyDaTPqwfZB+jHzSh+2D9GPkkz5sH6QfI98534cyZ1YIIYQQQgghRMSRkVkhhBBCCCGEEBFHglkhhBBCCCGEEBFHgtkmlFIvKaUKlVI7XbYNVUqtU0rtUEq9q5RKanKbHkqpMqXUz1y2PaCU2qmU2qWU+mkz93eFUmqfUuqgUuphl+33ObZppVSav8+zPfOlD5VSPZVSlUqprY7LP1xuM9Kx/0Gl1DNKKeXh/jz14WSl1GbH82CRUsoSyPNub/zRj0qpOKXUe0qpvY7X4hPN3J9hfyulfqOUynM59lWBPvf2xF+vR5fbrnI9lsH18p7qZ358T/3c0TfO69I93J+n12Kz/4uFZ356P0102bZVKVWklPqrh/uT99MA8ONr8Sal1HbH/8U/NXN/nvpxhuO2NqXUOb0sTGv40o+O6y5wXLfLcX2MY7t8TgXQWsvF5QJMBEYAO122fQtc7Pj9duDxJrd5C3gT+Jnj7yHATiAOsACfAH0N7ssMHAJ6A1HANmCQ47rhQE/gCJAW6sclki6+9KHjMd7p4TgbgDGAAv4DXOltH2L/ougY0N+x3++AO0L92ETSxR/96HgNTnL8HgV8ZdSPzfU38Bvna1suoelHl9tNB15v5jUr76lh3IfA50C2F/fn6bXY7P9iuQS+D5sccxMw0cc+lPfTEPcj0BE4CnRy/L0ImOJjP54HDPD2NS2XNvWjBdgODHXpP3Nz/ThHqkoAAAV8SURBVNPkvtr951QZmW1Ca/0lcLrJ5v7Al47fPwZudF6hlLoeOAzsctn/PGC91rpCa10HfIH9Q1hTFwIHtdbfaa1rgKXAdY52bNFaH2n7GZ17fO1DI0qpTCBJa/2Ntr/KFwPXG+zqqQ87AjVa6/3e3qdozB/96HgNfub4vQbYDHRrup8P/S185I9+BFBKJQAPAb9vZjd5Tw0Af/WhN1p4LQbkPs8F/u5DpVR/IB37F4RNr5P30wDxUz/2Bg5orU86/v7E6DbN9aPWeo/Wel/rzkL42I+XAdu11tsctz2lta6Xz6nfk2DWO7twfCACZgDdoeHD1S+A3zbZfycwQSnVUSkVB1zlvE0TXbF/K+KU69gm/M+wDx16KaW2KKW+UEpNcGzrir0/nDz1jac+LAIsLuk3P8D4OSB842s/NlBKpQDTgNUGx22pv+9zpGS9pJRKbdMZCGhdPz4OPAVUNHNceU8Nnta+Fl92pDz+2kNKXHOvxebuU/iu1e+nwCxgmeNDdFPyfhpcvvbjQWCAIw3Zgj0A8vQZ1ZvPQcI/PPVjf0ArpT50pAT/3LFdPqc6SDDrnduBe5RSm4BEoMax/TfAX7TWZa47a633AH8CPgI+ALYC9UFrrTDiqQ9PAD201sOxj/q8rvwwD8vxD34W8Bel1AagFHkO+EOr+tHxD3sJ8IzW+jsf7/N5oA8wzHE/T7XtFAQ+9qNSahjQR2v9TmiaKwy05rU4W2t9PjDBcbnVT/cpWqct/xdnYX9P9ZW8n/qfT/2otS4Gfgwswz6yfgT5fBIOPPWjBRgPzHb8vEEpNaWtd9aePqdG5kTfINNa78U+zO9MrbnacdVo4AdKqf8FUgCbUqpKa/2c1vpF4EXHbf4HyFVKdQfeddz2H9jz1l2/BekG5AX6fM5FnvpQa10NVDt+36SUOoT9W7A8GqejdgPyfOlDrfU67B/YUEpd5jiuaINW9ONGx01fwJ5W9VfHbc3Y53sBrML+Acutvx3HK3BuVEr9C/h3IM7tXNKKfhwFZCuljmD/v5WulPocezAk76kh0JrXotba+ZoqVUq9DlyolHoN71+Lnv4Xi1Zo7fupUmooYNFab3L8Le+nIdTK1+K7ON47lVJ3AfW+9KPwv2be33KBL7XWRY7r3sc+3/ZV5HOqXbAm50bShSaT5oF0x08T9pz02w1u8xtcihq43KYHsBdIMbiNBfgO6MX3k7IHN9nnCFKsJGB9CHTi+4n0vbG/wDs4/m46sf4qX/rQ5T6jsae2Tg714xJpFz/14++BtwFTC/dl2N9Apss+DwJLQ/24RNrFH/3o6VhNrpP31DDtQ0ffpDm2W7EXTvyRh/vy9Fps8X+xXALXhy63ewL4bQv3Je+nYdyPLrdJxZ492N+XfnS5/nOkAFSg+zEVe70P16KyV3vTP4592v3n1JA3INwu2NNmTgC12L8NuQN4ANjvuDwBKIPb/YbGwexXwG7Hk8awSpxjv6scxz0EPOKy/X7H/dcBx4EFoX5sIuXiSx9in+y+y/FmvhmY5nKcbOzznw8Bzxn1ewt9+CSwB9gH/DTUj0ukXfzRj9i/gdSOftjquNzp4f4M+xt4BdiBvZrgKlw+jMklOP3Y5Hg9ab7isbynhmEfAvHYR322O65/GscHbYP78/RabPF/sVwC14cux/oOGNjC/cn7aRj3o+M4ux2XWa3oxxsc918NFAAfhvqxiaSLL/3o2H+Ooy93Av/bUv8Y3F+7/pzqfFIKIYQQQgghhBARQwpACSGEEEIIIYSIOBLMCiGEEEIIIYSIOBLMCiGEEEIIIYSIOBLMCiGEEEIIIYSIOBLMCiGEEEIIIYSIOBLMCiGEEEIIIYSIOBLMCiGEEEIIIYSIOP8fXY5Q1EiTdqYAAAAASUVORK5CYII=\n","text/plain":["<Figure size 1152x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"SxWZ4vg7vYac","executionInfo":{"status":"ok","timestamp":1622806731301,"user_tz":-180,"elapsed":10,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}},"outputId":"8c97d127-c4c3-4a5f-e570-b4ce03adf954"},"source":["from sktime.performance_metrics.forecasting import (\n"," MeanAbsolutePercentageError,\n"," mean_absolute_percentage_error,\n",")\n","\n","# Mean absolute percentage error\n","mean_absolute_percentage_error(y_pred, y_test)"],"execution_count":29,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.050276517173375584"]},"metadata":{"tags":[]},"execution_count":29}]},{"cell_type":"code","metadata":{"id":"vgHQv_NywVNf","executionInfo":{"status":"ok","timestamp":1622806731302,"user_tz":-180,"elapsed":8,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["yy = np.transpose([np.array(y)])\n","#print(yy)\n","\n","XX = np.transpose([np.array(range(len(yy)))])\n","\n","#forecaster.fit(yy, XX)"],"execution_count":30,"outputs":[]},{"cell_type":"code","metadata":{"id":"_EbbxvEAv2v1","executionInfo":{"status":"ok","timestamp":1622806731303,"user_tz":-180,"elapsed":9,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":["#leaveFutureOutCV(fh2, y, forecaster, 10, 10)"],"execution_count":31,"outputs":[]},{"cell_type":"code","metadata":{"id":"-9Cg9JDVwMSF","executionInfo":{"status":"ok","timestamp":1622806731303,"user_tz":-180,"elapsed":8,"user":{"displayName":"Elias Ervelä","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhcVQbqAobpSX3NE6w5d6aZPU_VzlnsvBC9GkyMtw=s64","userId":"11858975235946053692"}}},"source":[""],"execution_count":31,"outputs":[]}]} \ No newline at end of file