diff --git a/.DS_Store b/.DS_Store
new file mode 100644
index 0000000..1a54aa3
Binary files /dev/null and b/.DS_Store differ
diff --git a/.ipynb_checkpoints/README-checkpoint.md b/.ipynb_checkpoints/README-checkpoint.md
new file mode 100644
index 0000000..7933a12
--- /dev/null
+++ b/.ipynb_checkpoints/README-checkpoint.md
@@ -0,0 +1,13 @@
+
+
+# Project: Statistical Analysis
+
+## Overview
+
+In this project I did a gold prices forecast for two year by using two methods:
+
+Holt-Winters
+
+SARIMAX.
+
+---
\ No newline at end of file
diff --git a/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/.ipynb_checkpoints/Untitled-checkpoint.ipynb
new file mode 100644
index 0000000..7fec515
--- /dev/null
+++ b/.ipynb_checkpoints/Untitled-checkpoint.ipynb
@@ -0,0 +1,6 @@
+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/README.md b/README.md
index 2213bf6..7933a12 100644
--- a/README.md
+++ b/README.md
@@ -4,63 +4,10 @@
## Overview
-The goal of this project is for you to practice statistical analysis using the iterative data analysis process. For this project, you will use this [Housing Prices](https://www.kaggle.com/c/house-prices-advanced-regression-techniques/data) dataset we choose for you. You need to download the `train.csv` dataset then use your statistical analysis skills to analyze this dataset. **The goal of your analysis is to identify the most important features of houses that affect the sale prices.**
+In this project I did a gold prices forecast for two year by using two methods:
-**You will be working individually for this project**, but we'll be guiding you along the process and helping you as you go.
+Holt-Winters
----
+SARIMAX.
-## Technical Requirements
-
-The technical requirements for this project are as follows:
-
-* Try to apply everything you have learned so far about data analysis (in creative ways if you can) such as data cleaning, data manipulation, data visualization, and various statistical analysis methods.
-
-* Apply the iterative data analysis process -- setting expectations, collecting information, and reacting to data / revising expectations.
-
-* Conduct your analysis in Jupyter Notebook using Pandas, Numpy, Scipy, Matplotlib, Seaborn, Plotly, and other Python libraries you have learned, as necessary.
-
-## Necessary Deliverables
-
-The following deliverables should be pushed to your Github repo for this project.
-
-* **A Jupyter Notebook (statistical-analysis.ipynb)** containing your Python codes, outputs, and data visualizations. Make sure to include explanations for each of your steps in Markdown cells or Python comments.
-
-* [optional] A `README.md` file containing any additional information.
-
-## Suggested Ways to Get Started
-
-1. Explore data and understand what the fields mean.
-
-1. Examine the relationships between the sales price and other features in the dataset. Use data visualization techniques to help you gain intuitive understanding of the relationships.
-
-1. Make informed guess on which features should be investigated in depth.
-
-1. Data cleaning & manipulation. Apply the following techniques as appropriate:
- * Adjust skewed data distribution.
- * Remove columns with high proportion of missing values.
- * Remove records with missing values.
- * Feature reduction.
- * Convert categorical data to numerical.
-
-1. Compute field relationship scores with the chosen statistical model.
-
-1. Present your findings in statistical summary and/or data visualizations.
-
-## Project Feedback + Evaluation
-
-* __Technical Requirements__: Did you deliver a project that met all the technical requirements? Given what the class has covered so far, did you build something that was reasonably complex?
-
-* __Creativity__: Did you add a personal spin or creative element into your project submission? Did you incorporate domain knowledge or unique perspective into your analysis.
-
-* __Code Quality__: Did you follow code style guidance and best practices covered in class?
-
-* __Total__: Your instructors will give you a total score on your project between:
-
- **Score**|**Expectations**
- -----|-----
- 0|Does not meet expectations
- 1|Meets expectactions, good job!
- 2|Exceeds expectations, you wonderful creature, you!
-
-This will be useful as an overall gauge of whether you met the project goals, but __the more important scores are described in the specs above__, which can help you identify where to focus your efforts for the next project!
+---
\ No newline at end of file
diff --git a/drive-download-20210723T005516Z-001/.ipynb_checkpoints/Prediccion Oro final-checkpoint.ipynb b/drive-download-20210723T005516Z-001/.ipynb_checkpoints/Prediccion Oro final-checkpoint.ipynb
new file mode 100644
index 0000000..cbd97d5
--- /dev/null
+++ b/drive-download-20210723T005516Z-001/.ipynb_checkpoints/Prediccion Oro final-checkpoint.ipynb
@@ -0,0 +1 @@
+{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"Prediccion Oro final.ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyP/QjPdX0B29cKzKLLcfcCz"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","metadata":{"id":"saGBqjNtcYpf","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1626299556699,"user_tz":300,"elapsed":1256,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"db50c712-0e02-4859-c63b-084eff8b22dc"},"source":["import pandas as pd\n","import numpy as np\n","import matplotlib.pyplot as plt\n","import statsmodels.api as sm\n","\n","import itertools\n","import matplotlib\n","\n","from pandas.plotting import lag_plot\n","from statsmodels.tsa.stattools import adfuller, kpss\n","from statsmodels.tsa.ar_model import AR\n","from statsmodels.tsa.seasonal import seasonal_decompose \n","from statsmodels.tsa.holtwinters import SimpleExpSmoothing \n","from statsmodels.tsa.holtwinters import ExponentialSmoothing\n"],"execution_count":1,"outputs":[{"output_type":"stream","text":["/usr/local/lib/python3.7/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n"," import pandas.util.testing as tm\n"],"name":"stderr"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"h6KDSciKclAz","executionInfo":{"status":"ok","timestamp":1626299557283,"user_tz":300,"elapsed":17,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"bc3a141b-21c2-482b-e510-cdf3c9f6f911"},"source":["from google.colab import drive\n","drive.mount('/content/drive')"],"execution_count":2,"outputs":[{"output_type":"stream","text":["Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"j0JMC3EtclWB","executionInfo":{"status":"ok","timestamp":1626299557283,"user_tz":300,"elapsed":15,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}}},"source":["gold_price = pd.read_excel('/content/drive/MyDrive/Colab Notebooks/PROJECTS/P6 Statistical Analysis/Gold_Prices.xlsx')"],"execution_count":3,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":204},"id":"vn7QpmUZcvC3","executionInfo":{"status":"ok","timestamp":1626299557284,"user_tz":300,"elapsed":16,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"c0430d46-7b7a-4e37-8024-b0d78e65ccbd"},"source":["gold_price.head(5)"],"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/html":["
\n","\n","
\n"," \n","
\n","
\n","
Name
\n","
US dollars per troy
\n","
\n"," \n"," \n","
\n","
0
\n","
1978-12-31
\n","
207.83
\n","
\n","
\n","
1
\n","
1979-01-31
\n","
227.27
\n","
\n","
\n","
2
\n","
1979-02-28
\n","
245.67
\n","
\n","
\n","
3
\n","
1979-03-30
\n","
242.05
\n","
\n","
\n","
4
\n","
1979-04-30
\n","
239.16
\n","
\n"," \n","
\n","
"],"text/plain":[" Name US dollars per troy\n","0 1978-12-31 207.83\n","1 1979-01-31 227.27\n","2 1979-02-28 245.67\n","3 1979-03-30 242.05\n","4 1979-04-30 239.16"]},"metadata":{"tags":[]},"execution_count":4}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"VIyLXnr8czSO","executionInfo":{"status":"ok","timestamp":1626299557284,"user_tz":300,"elapsed":15,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"2d7e58a7-c1e0-4aee-91b9-16dcd4384e33"},"source":["gold_price.dtypes"],"execution_count":5,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Name datetime64[ns]\n","US dollars per troy float64\n","dtype: object"]},"metadata":{"tags":[]},"execution_count":5}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":359},"id":"zHejaex0c5S-","executionInfo":{"status":"ok","timestamp":1626299557285,"user_tz":300,"elapsed":10,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"56109e78-f738-4f01-a7d6-d954dc6b9ce0"},"source":["gold_price_new = gold_price.rename(columns={'Name': 'Date'})\n","ftd_gld=gold_price_new.tail(210)\n","ftd_gld.reset_index(inplace=True, drop=True)\n","ftd_gld.head(10)"],"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/html":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"trNhPFBDfCee","executionInfo":{"status":"ok","timestamp":1626299559321,"user_tz":300,"elapsed":19,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"2f7bc53b-fd9b-47d2-e6fc-61c2e9bfaa8d"},"source":["gold_price_new.columns"],"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Index(['US dollars per troy'], dtype='object')"]},"metadata":{"tags":[]},"execution_count":11}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":514},"id":"Qacb7ofefMSu","executionInfo":{"status":"ok","timestamp":1626299559322,"user_tz":300,"elapsed":17,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"14229e03-a3cf-4a41-9ba6-fc19c0d902b4"},"source":["lag_plot(ftd_gld['US dollars per troy'])"],"execution_count":12,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":12},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"e2hQZtJ-fRBO","executionInfo":{"status":"ok","timestamp":1626299559322,"user_tz":300,"elapsed":14,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"c63bcbb8-2353-4cab-ea54-bf6092f4604e"},"source":["print('Is the data stationary?')\n","\n","dftest= adfuller(ftd_gld['US dollars per troy'],autolag= 'AIC')\n","\n","print(f'P-value={dftest[1]}')\n","print(f'Critical Values:')\n","for k, v in dftest[4].items():\n"," print('\\t{}:{} The data are {} stationary with {}% of confidence'.format(k, v, \"not\" if v < dftest[0] else \"\", 100-int(k[:-1])))"],"execution_count":13,"outputs":[{"output_type":"stream","text":["Is the data stationary?\n","P-value=0.7026216320934455\n","Critical Values:\n","\t1%:-3.4621857592784546 The data are not stationary with 99% of confidence\n","\t5%:-2.875537986778846 The data are not stationary with 95% of confidence\n","\t10%:-2.574231080806213 The data are not stationary with 90% of confidence\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"EhInxRVBfbX_","executionInfo":{"status":"ok","timestamp":1626299559322,"user_tz":300,"elapsed":12,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"4b218343-ee43-4241-881f-55424b9ca06a"},"source":["adfuller(ftd_gld['US dollars per troy'],autolag=None)[1]"],"execution_count":14,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.4832605343359527"]},"metadata":{"tags":[]},"execution_count":14}]},{"cell_type":"code","metadata":{"id":"YaNxarplfez-","executionInfo":{"status":"ok","timestamp":1626299559323,"user_tz":300,"elapsed":10,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}}},"source":["def kpss_test(timeseries):\n"," print ('Results of KPSS Test:')\n"," kpsstest = kpss(timeseries, regression='c')\n"," kpss_output = pd.Series(kpsstest[0:3], index=['Test Statistic','p-value','Lags Used'])\n"," for key,value in kpsstest[3].items():\n"," kpss_output['Critical Value (%s)'%key] = value\n"," print (kpss_output)"],"execution_count":15,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"LylVKGmOolCw","executionInfo":{"status":"ok","timestamp":1626299559323,"user_tz":300,"elapsed":10,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"88cb17db-0a62-40d2-d1b4-cff6430f5c5c"},"source":["kpss_test(ftd_gld['US dollars per troy'])"],"execution_count":16,"outputs":[{"output_type":"stream","text":["Results of KPSS Test:\n","Test Statistic 0.965836\n","p-value 0.010000\n","Lags Used 15.000000\n","Critical Value (10%) 0.347000\n","Critical Value (5%) 0.463000\n","Critical Value (2.5%) 0.574000\n","Critical Value (1%) 0.739000\n","dtype: float64\n"],"name":"stdout"},{"output_type":"stream","text":["/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/stattools.py:1685: FutureWarning: The behavior of using lags=None will change in the next release. Currently lags=None is the same as lags='legacy', and so a sample-size lag length is used. After the next release, the default will change to be the same as lags='auto' which uses an automatic lag length selection method. To silence this warning, either use 'auto' or 'legacy'\n"," warn(msg, FutureWarning)\n","/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/stattools.py:1709: InterpolationWarning: p-value is smaller than the indicated p-value\n"," warn(\"p-value is smaller than the indicated p-value\", InterpolationWarning)\n"],"name":"stderr"}]},{"cell_type":"code","metadata":{"id":"DNiWp2Gnp6oR","executionInfo":{"status":"ok","timestamp":1626299559323,"user_tz":300,"elapsed":7,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}}},"source":["def test_stationarity(timeseries):\n"," \n"," #Determing rolling statistics\n"," \n"," rolmean = pd.Series(timeseries).rolling(window=12).mean()\n"," rolstd = pd.Series(timeseries).rolling(window=12).std()\n","\n"," #Plot rolling statistics:\n"," orig = plt.plot(timeseries, color='blue',label='Original')\n"," mean = plt.plot(rolmean, color='red', label='Rolling Mean')\n"," std = plt.plot(rolstd, color='black', label = 'Rolling Std')\n"," plt.legend(loc='best')\n"," plt.title('Rolling Mean & Standard Deviation')\n"," plt.show(block=False)"],"execution_count":17,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"nSYyGpTBopYU"},"source":["This test support that the data is not stationary because the Test is greater than the p-value\n","\n","\n","* Case 1: Both tests conclude that the series is not stationary -> series is not stationary\n","* Case 2: Both tests conclude that the series is stationary -> series is stationary\n","* Case 3: KPSS = stationary and ADF = not stationary -> trend stationary, remove the trend to make series strict stationary\n","* Case 4: KPSS = not stationary and ADF = stationary -> difference stationary, use differencing to make series stationary \n","\n","We have Case 1"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":499},"id":"ZnPEt0zWp9Pv","executionInfo":{"status":"ok","timestamp":1626299560158,"user_tz":300,"elapsed":842,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"df546061-51f1-4adc-87e2-4f2cf72ddcf1"},"source":["test_stationarity(ftd_gld['US dollars per troy'])"],"execution_count":18,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"ppoB9JvTomHw","executionInfo":{"status":"ok","timestamp":1626299560159,"user_tz":300,"elapsed":31,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}}},"source":["train, test = ftd_gld['US dollars per troy'][:-10], ftd_gld['US dollars per troy'][-10:]\n","model = AR(ftd_gld['US dollars per troy'])\n","model_fit = model.fit(maxlag=1)\n","predictions = model_fit.predict(start=len(train), end=len(train)+len(test)-1, dynamic=False)"],"execution_count":19,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":500},"id":"LarX8EJUqPB5","executionInfo":{"status":"ok","timestamp":1626299560160,"user_tz":300,"elapsed":30,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"9a5d07b2-c62f-4700-d684-69bca5f1f159"},"source":["## Turning our data into log\n","\n","gld_log = np.log(ftd_gld['US dollars per troy'])\n","moving_avg = pd.Series(gld_log).rolling(window=12).mean()\n","plt.plot(gld_log)\n","plt.plot(moving_avg, color='red')"],"execution_count":20,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[]"]},"metadata":{"tags":[]},"execution_count":20},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Kwwc6iecq0gw","executionInfo":{"status":"ok","timestamp":1626299560161,"user_tz":300,"elapsed":19,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"1196d230-1bea-4512-9862-a14e8ec3259a"},"source":["#Testing the log info\n","\n","adfuller(gld_log_moving_avg_diff,autolag=None)[1]"],"execution_count":22,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.2688263074253551"]},"metadata":{"tags":[]},"execution_count":22}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ConogaBcqoag","executionInfo":{"status":"ok","timestamp":1626299560162,"user_tz":300,"elapsed":13,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"a766dc2c-bb0b-4299-9c74-e81847309b49"},"source":["kpss_test(gld_log_moving_avg_diff)"],"execution_count":23,"outputs":[{"output_type":"stream","text":["Results of KPSS Test:\n","Test Statistic 0.344749\n","p-value 0.100000\n","Lags Used 15.000000\n","Critical Value (10%) 0.347000\n","Critical Value (5%) 0.463000\n","Critical Value (2.5%) 0.574000\n","Critical Value (1%) 0.739000\n","dtype: float64\n"],"name":"stdout"},{"output_type":"stream","text":["/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/stattools.py:1685: FutureWarning: The behavior of using lags=None will change in the next release. Currently lags=None is the same as lags='legacy', and so a sample-size lag length is used. After the next release, the default will change to be the same as lags='auto' which uses an automatic lag length selection method. To silence this warning, either use 'auto' or 'legacy'\n"," warn(msg, FutureWarning)\n","/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/stattools.py:1711: InterpolationWarning: p-value is greater than the indicated p-value\n"," warn(\"p-value is greater than the indicated p-value\", InterpolationWarning)\n"],"name":"stderr"}]},{"cell_type":"markdown","metadata":{"id":"oDISvjF3rA4P"},"source":["We must convert our data into stationary, so we are going to do it by using:\n","\n","SARIMAX enforce_stationarity=True\n"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":513},"id":"OoRokBWrqp1w","executionInfo":{"status":"ok","timestamp":1626299561697,"user_tz":300,"elapsed":1545,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"70be98f4-89c7-473e-e6f7-f5a0d90ae3de"},"source":["p=d=q=range(0,2)\n","\n","pdq = list(itertools.product(p,d,q))\n","\n","seasonal_pdq = [(x[0],x[1],x[2],12) for x in list( itertools.product(p,d,q))]\n","\n","mod= sm.tsa.statespace.SARIMAX(\n"," ftd_gld,\n"," order=(1, 1, 1),\n"," seasonal_order=(1, 1, 0, 12),\n"," enforce_stationarity = False\n"," )\n","resultados = mod.fit()\n","\n","resultados.plot_diagnostics(figsize=(16,8))\n","plt.show()"],"execution_count":24,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":458},"id":"Yn_eQWxAsHM2","executionInfo":{"status":"ok","timestamp":1626299561698,"user_tz":300,"elapsed":8,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"c01c4c5e-464f-4cb6-ab0f-e2b152a2cbd9"},"source":["print('\\n Upper and lower bounds by year.\\n\\n')\n","predicciones = resultados.get_prediction(start=pd.to_datetime('2004-12-31'))\n","pred_conf_int = predicciones.conf_int()\n","pred_conf_int.tail(10)"],"execution_count":25,"outputs":[{"output_type":"stream","text":["\n"," Upper and lower bounds by year.\n","\n","\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/html":["
\n","\n","
\n"," \n","
\n","
\n","
lower US dollars per troy
\n","
upper US dollars per troy
\n","
\n","
\n","
Date
\n","
\n","
\n","
\n"," \n"," \n","
\n","
2020-09-30
\n","
1881.648614
\n","
2088.757250
\n","
\n","
\n","
2020-10-31
\n","
1799.604694
\n","
2006.713328
\n","
\n","
\n","
2020-11-30
\n","
1800.501759
\n","
2007.610392
\n","
\n","
\n","
2020-12-31
\n","
1758.035801
\n","
1965.144432
\n","
\n","
\n","
2021-01-31
\n","
1831.912810
\n","
2039.021440
\n","
\n","
\n","
2021-02-28
\n","
1775.170283
\n","
1982.278912
\n","
\n","
\n","
2021-03-31
\n","
1700.438217
\n","
1907.546845
\n","
\n","
\n","
2021-04-30
\n","
1638.686830
\n","
1845.795456
\n","
\n","
\n","
2021-05-31
\n","
1692.588827
\n","
1899.697452
\n","
\n","
\n","
2021-06-30
\n","
1786.302633
\n","
1993.411257
\n","
\n"," \n","
\n","
"],"text/plain":[" lower US dollars per troy upper US dollars per troy\n","Date \n","2020-09-30 1881.648614 2088.757250\n","2020-10-31 1799.604694 2006.713328\n","2020-11-30 1800.501759 2007.610392\n","2020-12-31 1758.035801 1965.144432\n","2021-01-31 1831.912810 2039.021440\n","2021-02-28 1775.170283 1982.278912\n","2021-03-31 1700.438217 1907.546845\n","2021-04-30 1638.686830 1845.795456\n","2021-05-31 1692.588827 1899.697452\n","2021-06-30 1786.302633 1993.411257"]},"metadata":{"tags":[]},"execution_count":25}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":442},"id":"JccGlLMfsxiH","executionInfo":{"status":"ok","timestamp":1626299561971,"user_tz":300,"elapsed":278,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"2b2c4517-5387-4cee-b303-70325b0a97ed"},"source":["prediccion_futurista = resultados.get_forecast(steps=5)\n","pred_ci=prediccion_futurista.conf_int()\n","ax = ftd_gld.plot(label='Pasado')\n","prediccion_futurista.predicted_mean.plot(ax=ax, label ='Pronostico', color = 'green', alpha =.8, figsize=(14,7))\n","ax.fill_between(pred_ci.index,\n"," pred_ci.iloc[:,0],\n"," pred_ci.iloc[:,1],\n"," color='blue',\n"," alpha=.1)\n","plt.legend()\n","plt.show()"],"execution_count":26,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"_FkVzueZxi2L","executionInfo":{"status":"ok","timestamp":1626299561972,"user_tz":300,"elapsed":9,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"d3a66cd6-2417-4fba-b919-9a230257d178"},"source":["prediccion_futurista.predicted_mean"],"execution_count":27,"outputs":[{"output_type":"execute_result","data":{"text/plain":["2021-07-31 1916.989101\n","2021-08-31 2025.767557\n","2021-09-30 2005.207694\n","2021-10-31 1987.016527\n","2021-11-30 1954.780101\n","Freq: M, dtype: float64"]},"metadata":{"tags":[]},"execution_count":27}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":272},"id":"8xo3SAxns8-w","executionInfo":{"status":"ok","timestamp":1626299561973,"user_tz":300,"elapsed":8,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"187e011a-22e1-4f2f-8fb8-d0c07157c473"},"source":["print('\\n Upper and lower bounds forecast by year.\\n\\n')\n","pred_ci.head(11)"],"execution_count":28,"outputs":[{"output_type":"stream","text":["\n"," Upper and lower bounds forecast by year.\n","\n","\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/html":["
\n","\n","
\n"," \n","
\n","
\n","
lower US dollars per troy
\n","
upper US dollars per troy
\n","
\n"," \n"," \n","
\n","
2021-07-31
\n","
1813.434789
\n","
2020.543413
\n","
\n","
\n","
2021-08-31
\n","
1868.802908
\n","
2182.732206
\n","
\n","
\n","
2021-09-30
\n","
1815.773389
\n","
2194.641999
\n","
\n","
\n","
2021-10-31
\n","
1764.943032
\n","
2209.090023
\n","
\n","
\n","
2021-11-30
\n","
1707.941758
\n","
2201.618445
\n","
\n"," \n","
\n","
"],"text/plain":[" lower US dollars per troy upper US dollars per troy\n","2021-07-31 1813.434789 2020.543413\n","2021-08-31 1868.802908 2182.732206\n","2021-09-30 1815.773389 2194.641999\n","2021-10-31 1764.943032 2209.090023\n","2021-11-30 1707.941758 2201.618445"]},"metadata":{"tags":[]},"execution_count":28}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":442},"id":"ZO9oo_5kteBg","executionInfo":{"status":"ok","timestamp":1626299562224,"user_tz":300,"elapsed":256,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"14776f73-cf86-4f55-8129-298bf039d280"},"source":["prediccion_futurista = resultados.get_forecast(steps=24)\n","pred_ci=prediccion_futurista.conf_int()\n","ax = ftd_gld.plot(label='Pasado')\n","prediccion_futurista.predicted_mean.plot(ax=ax, label ='Pronostico', color = 'green', alpha =.8, figsize=(14,7))\n","ax.fill_between(pred_ci.index,\n"," pred_ci.iloc[:,0],\n"," pred_ci.iloc[:,1],\n"," color='blue',\n"," alpha=.1)\n","plt.legend()\n","plt.show()"],"execution_count":29,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"wC17Lx9FrUW1"},"source":["#Holt Winters"]},{"cell_type":"code","metadata":{"id":"qezSJZeCt2Zx","colab":{"base_uri":"https://localhost:8080/","height":585},"executionInfo":{"status":"ok","timestamp":1626299563569,"user_tz":300,"elapsed":1349,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"04f189fc-42d3-4eff-9cff-a9737dd6afbb"},"source":["decompose_result = seasonal_decompose(ftd_gld['US dollars per troy'], model= 'multiplcative')\n","decompose_result.plot();"],"execution_count":30,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAxAAAAI4CAYAAAD6cQ8SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdd3iUVfr/8fdJJr2RRhJSSOi9hqKAYhds2LCuXdfuurqrbnEt667rfte111VRVxFdGyp2RZAihE6oCSQB0ntvM+f3RyI/kBZgwiTh87quXEnOPM8z9xwx89xzzrmPsdYiIiIiIiLSFl6eDkBERERERDoPJRAiIiIiItJmSiBERERERKTNlECIiIiIiEibKYEQEREREZE2UwIhIiIiIiJt1m4JhDEm0RjzvTFmnTEm3RhzR2t7hDHma2PM5tbv4a3txhjzlDEmwxiz2hgzapdrXdl6/GZjzJXtFbOIiIiIiOyfaa99IIwxcUCctXa5MSYEWAZMA64CSq21jxpj7gXCrbX3GGOmArcBU4FxwJPW2nHGmAggDUgFbOt1Rltry/b13FFRUTY5ObldXpeIiIiIyNFg2bJlxdba6F+2O9rrCa21eUBe689Vxpj1QDxwDjC59bDXgbnAPa3tb9iWjGaxMaZbaxIyGfjaWlsKYIz5GjgdmLmv505OTiYtLa0dXpWIiIiIyNHBGJO9t/YjsgbCGJMMjAR+AmJakwuAfCCm9ed4YNsup21vbdtXu4iIiIiIHGHtnkAYY4KB94HfWGsrd32sdbTBLXOojDE3GGPSjDFpRUVF7rikiIiIiIj8QrsmEMYYH1qSh7estR+0Nhe0Tk36eZ1EYWv7DiBxl9MTWtv21b4ba+1L1tpUa21qdPQeU7VERERERDq0pVmlLM/Z5zLfDqM9qzAZ4BVgvbX28V0emg38XEnpSuDjXdqvaK3GNB6oaJ3q9CVwqjEmvLVi06mtbSIiIiIiXUJ9k5Pr30hj+guL+HjlHp+VdyjttogamAD8ClhjjFnZ2vYH4FHgXWPMtUA2ML31sTm0VGDKAGqBqwGstaXGmIeBpa3HPfTzgmoRERERka7g87V5lNc20Ss6iDveWUlZTSNXTUjxdFh71Z5VmH4EzD4ePmkvx1vgln1c61XgVfdFJyIiIiLScby1OIeUqCDm3D6J22eu4IFP1lFc3cgdJ/fFx7tj7f3csaIRERERETnKbCqoIi27jEvGJuLv481zl43iotREnvk+g0n/+J5nv8+gtKbR02HupARCRERERMSD3v4pB19vLy4Y3VI3yOHtxaPnD+XVq1LpGxPMP7/cyDF//5bHvthAk9Pl4Wjbdw2EiIiIiIjsR12jk/eXb+f0IbFEBPnubDfGcOKAGE4cEMPmgiqen5vJc3MzWZBZwtMXjyQpMtBjMWsEQkRERETEQz5dnUtVfTOXjUva5zF9Y0J4/KIRPHfZKLYWVTP1qfnMWprDjvI6XK6WLdWstWQWVfP+su18uGI7LcuL24dGIEREREREPOTtJTn06R7M2JSIAx47dWgcwxLCuOOdldzz/hoA/H28SIoIpKCygYq6pp3H5pTUccfJfdscx/KcMpZsLeWMoXEkRux/dEMJhIiIiIiIB6TnVrAip5w/nzmIli3UDiwhPJBZN4wnLbuMLUU1bCmqJqukhlFJ4YxM6sbIpHBe/GEL//5mEz0jA5k2Mv6A16xvcnLb2yvYUV7Ho59vYGxKBBeMStjn8UogREREREQ84JX5Wwn09d7vzfreOLy9GN8rkvG9Ivf6+N/PG8qO8lp+/7/V9OgWcMDRjTcWZbGjvI7Hpw8nt7yO95fv4Pfvr97n8VoDISIiIiJyhOVV1DF7VS4XjUkkLNDHrdf2dXjxwuWjSQgP4NdvppFVXLPPY8tqGnnmuwwm94/mvFEJ3HpiX76763jev+nYfZ6jBEJERERE5AibsSALl7Vc0067TXcL9OW1q8fgdFn+/PHafS6qfvq7DKobmrlvysCdbcYYRvcM3+e1lUCIiIiIiBxBVfVNvP1TDlPbsGD5cPSMDOI3J/dj/uZi5m4q2uPx7JIa3lycxYWjE+kfG9Lm6yqBEBHpxDIKq3j2+wzOevpHpjw5n4Zmp6dDEhGRA3hnyTaqGpq54bhe7f5cl4/vSXJkII98tp7mX2xC99iXG3F4efHbU/sd1DWVQIiIdEIul+XSlxdz8uPz+OeXG2lyulifV8mHy3d4OrT9qm1sJqu4hrU7KvhpSwnpuRWeDklE5Ihqcrp4dcFWxveKYFhCt3Z/Pl+HF/dNHUhGYTUzl24DWt5DHvtiA5+tzuP643oRE+p/UNdUFSYRkU5obW4FCzNLuHZiCtdP6kVMqB9nPfMjL87bwoWpiXh7/f9ygF+vK2B9XiW3n7T/euAb8iu55a3lPHj2ECb2jXJ7zHWNTo7/51yKqhp2a5/QJ5LfntJ/v/NtRUS6ig9X7CCvop5Hzh1yxJ7z1EExjEuJ4ImvNzFlSCwPzE7n09V5XDwmkdtO7HPQ11MCISLSCc1rnct68+TeRAb7tf7ch5vfWs7na/M4c1gPALKKa7h95grqmpwMjQ/jhAHd93o9ay33f5xOZlENv5m1gjl3TKJ7yMF9InUgH6/cQVFVA78/vT+9o4MJ8nWwIb+S5+dmcv7zCzmhfzT3TR1Iv5i2z8MVEekM1uVW8sXaPL5aV8CG/Cr6x4Qwud/e/x63B2MMfzpjEGc98yMn/t9cKuubuef0Adx4fK827z+xK01hEhHphOZtLmZIfOjO5AHgtMGx9IoK4rnvM7HW4nRZ7n5vFQ5vQ8/IQB7+dB2Nza69Xu/T1Xks2VrKtRNTqG5o5q53V+Fy7b1ix6Gw1jJjYRYDYkO46fjenDY4lol9o7huUi/m/f4Efn96f5bnlHPGU/N54ptN+4xTRKQzqaht4q53VzH1qfk8830GoQE+/PnMQbx1/Ti8vA7+xv1wDE0I48LRCdQ3u3j20lHcNLn3ISUPoBEIEZFOp6q+ieXZZXssvvP2Mtx4fG9+//5qfthUxIb8KtKyy/j3RcPpFuDL1TOWMmPhVm44rvdu59U1Ovn7nPUM7hHKH6YOpHd0MH/4cA0vztvCTZN3P/ZQLdlayob8Kv5+3tA93rCC/BzcPLkPF6Um8uAn63jim818viafh6cNYUxy+CG/wYmIeNI36wr4w4drKKlp5JYTenPNhJTdPvTxhL+fN5T7pg4kIsj3sK6jBEJEpJNZlFlCs8syqW/0Ho9NGxnPv7/ZxN/mrCeruJbTB8cybUQ8xhhO6B/NU99mMG1k/G7Tk57/IZPcinqeuHgk3l6GS8YmsiCjmH99tZGxKRFuWZvwxqJswgJ8mDYifp/HRAb78dQlIzlnRA/+9NFapr+4iF5RQZw1vAdnj+hB7+jgw45DRORIePKbzfz7m00MiA3hlSvHMDQhzNMhAS07WB9u8gCawiQi0unM31xMoK/3Xm/sfR1eXDepF5sKqgkNcPDIuUN2foL/5zMH0dDs5P++3Ljz+O1ltbz4QyZnDe/B2JQIoGWu7N/OG0psmD8Xv7SI3723iozC6kOON6+iji/S87loTCIBvt4HPP6kgTF8/dvj+ft5Q4kJ9eep7zZz0r9+4KFP1uF047QqEZH2kFVcwzPfb+aMYXHMvnVih0ke3EkjECIincy8zUUc0ysSX8fePwO6ZGwiS7eWcvn4nrsNl/eKDubqCSm8PH8LadlllNc2UV7b2FLib8qA3a4RFuDD/248lhd+yOSdpTn8b/l2Th8cy6PnDyMswOeg4n1rcQ4ua/nV+J5tPifYz8ElY5O4ZGwSBZX1PPt9Bq8u2EpOaS1PXTKCQF+9fYlIx/TYlxtweHnxlzMH7fPvdGenv8AiIp1IdkkN2SW1XDMhZZ/HBPo6eOFXo/f62G0n9iGvoh6XyxIe5EN4oC/H94umR7eAPY6NDfPngbMHc9uJfZixMIsXfsjkt7NW8vIVqW1e/Fff5GTmkhxOGhBzyLutxoT689A5Q+gdHcyDn6Qz/cVFvHLlmIOuWy4i0t6WZZcyZ00+vzm5L9278N8oJRAiIp3IvM3FAEw6xH0aQvx9ePqSkQd1TmSwH3ed2p/oED/u/zidZ7/P4LYD7CkBLYu9H/50HSU1jVx1bPIhxburK49NJjEigFvfXsGZT//IYxcM44T+R64MoojI/lhreeSz9XQP8TsiO0x7UtccVxER6aLmbyoiITyAlKigI/7cvxrfk3NHxvP4N5uYu7Fwv8d+lZ7PKY/P471l27l+UgoT+kS6JYYTB8Tw/k3HEh7ow9WvLeWPH66hpqHZLdcWETkcn6/NZ3lOOXed2q/LT7Ps2q9ORKQLaXK6WJhZwlnDe3iktKkxhr+dO5T1eZXc8c5K7j9zEOvzKlmxrZyMwmr8fbwI8ffB4WXYkF/FgNgQnr98FCOT3LvD9MC4UGbfOpHHv97Ey/O38GNGMf+9dtwhT5ESETlY5bWN/PGjtczbVER0sB8xof5kFFXTPyaEC0Ynejq8dqcEQkSkk1iRU051QzPH9zu06UvuEODrzQuXj+asZ37krvdW4evwYmh8GGcNj6Op2VLV0ER1g5NzRsRz3aQUfLzbZ6Db38ebP0wdyEkDunPFq0t4+rvNPHbB8HZ5LhGRXS3eUsKds1ZSVNXAtJHx1DU6KaisJ9TfwQNnD8b7CG8Q5wlKIEREOoG8ijru/3gtfg4vjuntuQQCIDkqiNm3TqS8tpHBPcI8WmVkXK9ILhqTyMwlOdx5Sj/iwvZcDC4i4g7WWp78djNPfruZ5MggPrj5WIYldPN0WB6hNRAiIh3c+rxKzn12IdvL6vjPlakHXUa1PaREBTEyKbxDlCi8flIvXBZe/XGrp0MRkS7s63UFPPHNZqaNiOfT2yYetckDtGMCYYx51RhTaIxZu0vbA8aYHcaYla1fU3d57D5jTIYxZqMx5rRd2k9vbcswxtzbXvGKiHQ01lq+31DI9BcWAfDejcfsdffpo11iRCBnDYvj7Z9yKK9t9HQ4ItIF1Tc5eejTdfSPCeGfFwwjyO/onsTTnh8dzQBO30v7v621I1q/5gAYYwYBFwODW895zhjjbYzxBp4FpgCDgEtajxUR6bK2ldby9LebOenxH7h6xlLiwwP48JZjGRgX6unQOqxfH9+bmkYnby7K9nQoItIJNDQ7cR3EzvbPzc1ke1kdD54zGEc7re3qTNotfbLWzjPGJLfx8HOAd6y1DcBWY0wGMLb1sQxr7RYAY8w7rceuc3O4IiIeV9/k5JHP1vPm4pab4HEpEfz6uF6cNbxHly8JeLgGxoVyQv9oXluYxXWTehHg6+3pkESkA7HW8mNGMQszS/hpSwmrt1cQEeTL6UNimTIkjrEpEftc/JxTUssLP2Ry9vAejO/lnpLUnZ0n3pFuNcZcAaQBd1lry4B4YPEux2xvbQPY9ov2cXu7qDHmBuAGgKSkJHfHLCLSrjYVVHHb2yvYWFDFVccmc92kFBLCVZb0YNw0uQ/TX1zEu2nbuNING9eJSNfx3NxM/vnlRhxehmEJYVw7MYXsklreTdvGG4uyd27+dum4pD0+sHno03R8vAx/mDrQQ9F3PEc6gXgeeBiwrd//BVzjjgtba18CXgJITU1t+5iUiIiHvbt0G3/+eC0h/g5mXD2Gydpd+ZCMSQ4ntWc4T3+XwZnD4ogM9vN0SCLSAeSW1/H0d5s5dVAMT1w8YrcEobaxmbkbi/jv4mz++tl6np+byXWTepEQHsCO8joyC6v5Zn0h900ZQGyYvwdfRcey3wTCGFNFy83+XllrD2pCrrW2YJdrvwx82vrrDmDXXTcSWtvYT7uISKf32oKtPPjJOib2ieLxi4bTPURvUIfKGMPD04ZwzjMLuOf9Nbx8xWiPbLgnIh3L3+asx1q4/6xBe4wuBPo6mDo0jqlD40jLKuWp7zL4xxcbdj4e6u/glEExXD0h5UiH3aHtN4Gw1oYAGGMeBvKANwEDXAbEHeyTGWPirLV5rb+eC/xcoWk28LYx5nGgB9AXWNL6XH2NMSm0JA4XA5ce7POKiHREPycPpw2O4ZlLR7XbpmtHk4Fxofz+9P789bP1zFyyjUvHaUqryNFsUWYJn67O4zcn9z3gtNDU5AjeuGYsGYVVOF3Qo5s/If6eL5vdEbV1CtPZ1tpdt/h83hizCrh/XycYY2YCk4EoY8x24C/AZGPMCFpGNbKAXwNYa9ONMe/Ssji6GbjFWutsvc6twJeAN/CqtTa97S9PRKRjmqHkod1cMyGFuRuLePjTdYzvFUGv6GBPhyQiHtDsdPHgJ+nEdwvgxuN7t/m8Pt1D2jGqrsFYe+DlAsaYhbSUU32Hlpv/S2i5yT+2fcM7NKmpqTYtLc3TYYiI7NWMBVt5oDV5ePqSUR1iM7aupqCyntOemEdSRCDv33SsEjSRo9DrC7P4y+x0Xrh8FKcPOeiJMwIYY5ZZa1N/2d7Wv6iXAtOBgtavC9FUIhGRg/b6wiwe+GQdpw5S8tCeYkL9efS8oazeXsET32zydDgicoQtzSrl75+vZ2KfKE4bHOvpcLqcNk1hstZm0bL/goiI/IK1luU55byzJIcgPwd3ntKPsIA9582+sajl07BTBrVMW1Ly0L5OHxLH9NQEnpubyfH9ujM2JcLTIYnIEbB2RwXXvLaUHmEBPHHxCBVTaAdtncLUj5YSrDHW2iHGmGG0rIv4a3sHeCg0hUlEjoSGZifvL9vBm4uzWZ9XSZCvN/XNLqKD/XjsgmEc1y8aaNlZ+p2lOTz7fSanDIrhWSUPR0xNQzNTn5pPs9Py+W8mEaoFkSJdWmZRNdNfWIS/jzfv3XgMPboFeDqkTm1fU5jamkD8APwOeNFaO7K1ba21dojbI3UDJRAi0p6stcxZk88/vthATmktA+NCuXx8EueMiCezsJq73ltFRmE1U4fGkl1SS3puJQBnDIvj39NHKHk4wlbklHHBC4s4a1gcT1w80tPhiEg7Kais59xnF9DodPHur49RAQU32FcC0dYqTIHW2iW/GAJqdktkIiKdyLrcSv740RpW5JQzIDaEGVeP4fh+0TuHyIcnduPT2yby+NebmLEgiyHxofxx6kBOHxJLYoR2lvaEkUnh3H5iX/79zSZOGNCdc0bE7/a4y2V58JN0Fm8ppb7ZSX2Tk0BfB3ef2p+pQ2PdNv3B5bJ4eWkqhae4XJatJTWU1TRSVttEVX0TQ+PD6NM9WFNcugBrLfe8v5qy2ib+d5OSh/bW1gSi2BjTm9ZN5YwxF9CyL4SIyFGjrKaRq2cswemCx84fxvmjE/Deyw2hv483f5g6kPumDNCNSQdxywm9mb+5iN//bzXx3QJITf7/6yEe+3Ijry/KZlLfKCKCfPFzeLF2RyW3vL2cUwfF8PC0IcSEHvoGfzvK6/j9/1aRWVjD4xcN59jeUe54SXIQXC7LTW8t48v0gj0eS4wI4KQBMVwwOoEh8WEeiK59FVbW8+An6yirbQTAGAj19yEpIpCkyEAig/zYXFDFmh0VpOdW0jcmmAfOGkxyVJCHIz8476VtZ+7GIh44axCDe3S9/44dTVunMPUCXgKOBcqArcBl1trs9g3v0GgKk4i4m7WWG/+7jO82FPLhzRO65I1GV1dS3cAFLyyipLqB/910LP1iQvjfsu3c/d4qLh+fxMPnDNmZ8DU7Xbzy41Ye/3oTvg4v/jptyB4jFwdireWjlTu4/6N0XNYSFeJHTmktt53Yl9tP7IOjDaVlt5XWUlHXxKC4UI1eHIZ/fLGB5+dmcvPk3ozrFUlEoC/+Pl4sySrl2/WFLMgoBmDWr49hRGI3D0e7d+W1jby2IIuTBnZnWELbYnS5LFe8uoSlWaUMSwjD2pZPgstqG9leWkej07Xz2JSoIAbEhvDj5mIanS5uP6kv10/qdcSnXDY0O3ljYTZv/ZTNsIRuXJiawITeUfv9959bXsdp/57HoB6hzLx+vP5fcaPDXQPhba11GmOCAC9rbVV7BOkuSiBExN1mLc3hnvfXcN+UAfz6IDYkko5lW2kt5z+/EC9j+MMZA7n73VWMSQlnxtVj97pXxNbiGn733irSssu4dmIK900Z0KYb/4ZmJ3e/t5pPVuWS2jOcx6ePIDLYl7/MTud/y7YzNjmCayamMLpnONEhfns9/7nvM3lubgZNTktUsB8n9I/m1MGxnDywu0a2DsKHK7Zz56xVXDouiUemDdlr3xVXN3Ducwuoa3Tx8a0TiO9gC28/X5PHnz9Op7i6AYeX4Y6T+nLT5N4H/Lf48rwtPDJnPX87d+geu7I7XZb8ynqKqxpIiQ7aWWCgoLKeBz9JZ86afPp2D+bXx/fmzGFx+Pt4t9vrg5aE+4u1+fz985a1ZaOSupFZVENFXRPx3QI4a3gPTugfzaie4bv9v2ptS5K0LLuML+44jqRITRV1p8NNIHKAL4BZwHe2LSd5kBIIEXGnrcU1nPHUfEYkduO/147Tp1ud3Pq8Sqa/uIiq+mZ6RQXx4c0TCAvcd3WmJqeLRz5bz4yFWRzTK5JnLh1JZPCeN/0/c7ksd8xaySercrn71H7cNLnPblPdPlyxnfs/SqeqoWUpYc/IQIYldKNf92D6xoTg423425z1ZBbVcPbwHhzXL5q5Gwv5YVMRVfXN3HpCH+4+rb/7OqQLW55TxsUvLWZUUjfevHbcfjcU3FxQxXnPLSQ+PID3bjyGkA5QsauoqoE/f7SWL9LzGRIfyp/OGMRbP+XwyapcRvcM574pAwCoamimocnJuJRIwoN8gZZSpuc+t4ATB3TnhctHH3TS+e36Ah79fAObC6uJCPLl4jGJXDMxhaj9/Ns/VLWNzdzxzkq+XldAv5hg/njGII7vF019k5Nv1hfwbtp2FmYU0+yyhPg7OKZXJN1D/Qjyc1BW08i7adt5eNoQfjW+p9tjO9odbgIRCJwJXAyMAj4F3rHW/ujuQN1BCYSIuEtDs5PpLywiq6SWL34zibiwjvXJpByaJVtLeerbzTx0zuA2L7b837Lt/OHDNUQH+zHz+vF7/aTTWsvDn67n1QVbuXfKAG7cx2hVQ7OTtTsqWZZdSlpWGem5lewor9v5eEJ4AH+dNoTJ/bvvbGtyuvjzR2t5Z+k2Hjl3CJeN083S3rhclrTsMj5dnctHK3bQLdCXj2+ZsPPGen/mby7iqteWclzfKF6+IrVNo01t4XRZSqob6H4Qa2myimv41as/UVjZwJ2n9OO6iSk74/l45Q7+9OHanUnoz3wdXpw1rAcXjUnk3g9WU9vg5PM7JrXpte+NtZaFmSXMWJjFt+sL6B7izytXpbp1jUFhVT3XvZ7G2h0V3DdlIFdPSN5rv1fVN7Ego5i5G4v4aWspFXVNVDc009js4rTBMTx/2Wh9uNMODiuB+MWFwoEnaVkD0b7jWYdICYSIuIPTZblt5nLmrMnn+ctGMWVonKdDEg9bta2cK19bQqCPN+/ccMweScRL8zL525wNXHVsMn85a9BBfepb09BMRmE1eRX1HNcvikDfPeucNDtdXP9GGj9sKuLlK1I5aWDMQb+GnJJawgJ99rrZYWf182aOn67OZc6aPAoqG/BzeHHigO787rT+B1WR57+Ls/nTR2sZEBvCX6cN2W3B/aHILqnhrndbpsENjQ/j8vFJnDW8By4L8zYV8c26AvIq6rl0XBJTh8bh7WVYu6OCq15bgsvCa1eNYfhe1mUUVNazIqeMID8HwX4OXNby4YodfLB8B7WNToyBt64dx7F93LNoPz23guteT6OirolnLh3JiQMO/t/eL20uqOKq15ZSWtPI05eM5ORBB3/NJqcLh5fRtL52ctgJhDHmeOAi4HQgDZhlrX3frVG6iRIIETlc1lr++NFa3v4phz+dMZDrJvXydEjSQaTnVnDZf37aLYnYXFDF20tyeG1BFmcMi+Ppi0e226ehNQ3NXPzSYjIKq3n+8lEc1ze6zc/1zboCbn5rOX4OL648NplrJ6Yc8qfTnvLOkhz+8+NWgvwcRAT6EBrgQ1pWGTvK6/B1eDG5XzRnDIvj5IExBPm1tdjk7r5Ym89Dn6STW1HPhaMTuHfKgP1OW/tZY7MLH++Wm1lrLW/9lMPf5qzH28tw+fiefLe+kI0FVQT7OWhsdtHodNEt0IdQfx9ySmtJiQrivJHxvDRvC6EBPrxx7Vh6H2Q50qr6Jj5asYMgPwfnjUo4pNe/L4WV9Vz7ehrpuRX86YxBXD0h+ZBu3Osanby6YCvPz80kwNebV68cw9AEFaboiA53ClMWsAJ4F5htra1xe4RupARCRPYnu6SGf365kY35VTw+fcRe37ge/3oTT327mRuP7829rfOMRX62axIRE+bPipxyHF6Gs4f34O/nD8XP0b4D9EVVDZz//EJySmuJCfXjtMGxnDW8B2P282n5F2vzuW3mcgbGhZIQHsDna/MJ8PHmmgkp/Obkvm6brtNerLU8NzeTf365kWEJYYQF+FBa00h5bRP9Y0M4c1gcpwyKcdvahdrGZp76NoP/zN9CSlQQn90+aZ8ViVwuy7+/2cRzczMBCPV34OvwoqCygUl9o3jsgmHEhQVgbcv0qveXbSc0wIeTBnRndM9wjDF8lZ7PM99nkJ5bSb+YYN64ZhyxYYdePri91DY2c+eslXyZXsCZw+L423lD27TDu7WWyrpmPl2Ty5PfbKawqoGTB3bngbMHkxCuhc8d1SEnEMYYb+CP1tqH2is4d1MCISJ7U1LdwNPfZfDWT9k4vLwI8XdQXtfEI9OGcGFqItBSs/+lHzJ5fVE201MT+Mf5wzQ0LnuVnlvBFa8sISLIl4vGJDJtZHy7LDDdl+qGZr5ZV8Dna/OYu7GIhmYXt57Qh7tO7bfHv9k5a/K4feYKhsSH8fo1YwkL8GFTQRVPfbuZT1fnccawOJ64aMR+Fxl7kstleWTOel75cSvnjoznsQuGHbFYv0rP54Y3l/GHqQO44bg917RUN7TcUH+9ruWGOjkyiIq6JirrmxjfK5KLxyS2+W/Iz1Ox+sUEd4hF3PvicllemJfJv77aRHy3AJ6+ZOQe06zKaxv5Kr2Ar9bls6W4hvyKemobnQCk9gznnikD9pvwSnN3qrIAACAASURBVMdwuCMQS6y1Y9slsnagBEJEfmlLUTUXvrCI8rompqcmcufJffH2Mtw2cwULM0u4eEwidU1OPl3dskfmRWMSeejswR3+U1nxrGanC+8OMP+6trGZB2evY1baNi4d17KnhbeXoaKuiZfnbeH5HzIZmdiN164es8eN6c/rNk4ZFMMzl47Ez+FNQ7OTr9cVsDy7nCaniyanC6fLkpoczumD4/Zbtao93PfBGmYuyeHqCcn8+YxBR3yx7DUzlvLTlhK+u3vybpsKbiut5brX09hcWMWfzxzEVcce2pSezmpZdim3z1xJYVU9o3uGE+LvQ4ifg5KaRha0Vk1KjAhgWHw3YsP8iQvzZ2BcKMf2jjyq+qkzO9wE4t+ADy1lXHdOX7LWLndnkO6iBEJEdlVU1cB5zy+gtsHJf68bx8C40J2PNTtdPPblRl6at4VgPweXjE3kqgkpHa4OvMiBWGt57MuNPD83kylDYhncI5SX5m2hsr6Zs4b34NHzhu5zTcAbi7K4/+N0JvWNond0MB+t3EF5bRP+Pl4E+Hjj4+3VUkmophFfby+O7x/Nr8b35Lh+0e3+ulZtK+ecZxdw3cQU/njGQI/ceGaX1HDKv+cxZUgsT148EoBFmSXc/NYynC7Ls5eNYlLf9u+Ljqi8tpF/fLGRzMJqqhqaqW5owsfbi1MGxXDm0B4MiQ9VstCJHW4C8f1emq219kR3BOduSiBE5Ge7LjidecP4fe4ym55bQWJEYJvm8op0ZP+Zv4W/frYegJMHxvDbU/oxqEfoAc6Cd5du454PVuPj7cVpg2OZnprAsb2jdu5hYa1l9fYKZq/K5ZNVuRRVN/D49OGcO9K9C3V/6brXl5KWXcaP95xI8CEuinaHx7/ayFPfZfDODePJKKzmgdnpJEUG8p8rUg+qypNIZ+K2Mq6dgRIIEYGW8n7XvZ7GjxnFvHzFaLeUHRTpDBZkFBPi72BYwt4T5n3ZXFBFdIgf3QL3X5mprtHZMq1nawlPXDySs4f3OOC18yvqeWB2OrFh/jxw9uA2xbN2RwVnPv0jd53Sj9tO6tumc9pLXaOTkx//gcq6JqoampncP5qnLhmpDx2kS9tXAtGmyb3GmBhjzCvGmM9bfx9kjLnW3UGKiOxNWU0jGYVVuFxt/8BjW2ktl738Ez9sKuKRaUOUPMhRZUKfqINOHgD6xoQcMHkACPD15pWrUklNjuDOWSuZsyZvv8fPXpXLaU/M48t1+cxYmMUnq3LbFM/T320mxN/BlROS23R8ewrw9eaBswdT09jMDcf14pUrxyh5kKNWW6cwfQ68Rks1puHGGAewwlo7tL0DPBQagRDp/N5N28aspdvYUlRNWW0TADGhfkwZEseUIbGMSY7Y60JK27qZ0v0fpwPw8LTB7T7FQuRoVd3QzJWvLmHVtnJOGNCd8b0iGd8rguhgP7JLa8kqruG7DYV8vjafEYnd+L8Lh3H3e6vJKqnhy98ct9uC5F9an1fJlCfnc8dJfbnzlH5H8FXtX3VDs0enUokcSYe7BmKptXaMMWaFtXZka9tKa+2Idoj1sCmBEOncNuZXMfWp+fSODmJ0zwh6RwcR4u/g2/WFzN1URGOzi56RgVwzIYULUxMI9G3ZlGnuxkJmLsnh+41FjE2O4F/Th5MYofriIu2pqr6Jf3yxgfmbi8kuqd3jcV+HF7ef2Icbj++Nw9uLzKJqznhqPuN7RfLaVWP2ucD2lreX88PGIhbcc+IRr/okIi32lUC0NYWuMcZEArb1YuOBCjfGJyICtIwg3P/xWkL8HbxzwzFE7LJL7kVjknbWvn99URZ/mZ3O419vYmKfKH7MKKaironIIF/unTKA6yf12rn4U0TaT4i/D3+d1jIhIbe8jsVbSqiqb6ZnZCDJkUHEhwfstmdD7+hg7j19AA98so6ZS1rKzv7SvE1FzFmTx82Teyt5EOmA2ppA/BaYDfQ2xiwAooEL2i0qETlqzV6Vy09bS3nk3CG7JQ8/C/ZzMG1kPNNGxrMsu4xXftzCoi0lnNA/mnNGxjOxT1SH3QxLpKvr0S2A80YdeMrgFcck8/X6Ah7+dB3bymo5e3gPBsSGsL2sjr/NWc/na/NJigjk2om9jkDUInKw2lyFqXXdQ3/AAButtU3tGdjh0BQmkc6pqr6JE//1A3Fh/nx48wSNIIh0YfkV9dz3wWrmbS7G6bL0ig5ie1kd3sZw8+TeXH9cL/x9vD0dpshR7bCmMBljLgS+sNamG2P+BIwyxvy1o24kJyKd0xPfbKa4uoH/XJGq5EGki4sN8+e1q8dSUt3AnLX5fLE2j1FJ4dx1aj/iwrSRo0hH1tZx/j9ba6uMMROBk4BXgOf3d4Ix5lVjTKExZu0ubRHGmK+NMZtbv4e3thtjzFPGmAxjzGpjzKhdzrmy9fjNxpgrD/4likhnMG9TETMWZnHxmCSG72OzNxHpeiKD/fjV+J68dd14/u/C4UoeRDqBtiYQztbvZwAvW2s/Aw5UKHoGcPov2u4FvrXW9gW+bf0dYArQt/XrBlqTE2NMBPAXYBwwFvjLz0mHiHQdc9bkce3rS+nbPZh7Tu/v6XBERERkP9qaQOwwxrwIXATMMcb4Hehca+08oPQXzecAr7f+/DowbZf2N2yLxUA3Y0wccBrwtbW21FpbBnzNnkmJiHRis5bmcOvbyxmW0I1ZNxzTpk2sRERExHPamkBMB74ETrPWlgMRwO8O4flirLU/b1eZD/y8NWw8sG2X47a3tu2rXUS6gJfmZXLP+2uY1DeaN68dq3KNIiIinUCbFlFba2uNMVnAFGPM6cACa+1Xh/PE1lprjGlbCag2MMbcQMv0J5KS9qwpLSIdh7WWf365kefmZnLmsDgenz4CX4dKr4qIiHQGbXrHNsbcT8uUo0ggCnittRrTwSponZpE6/fC1vYdQOIuxyW0tu2rfQ/W2pestanW2tTo6OhDCE3EMwor67nl7eXM31zk6VCOCKfL8seP1vLc3EwuHZfEkxePVPIgIiLSibT1XfsyYIy19i/W2r8A44FfHcLzzQZ+rqR0JfDxLu1XtFZjGg9UtE51+hI41RgT3rp4+tTWNpEuIau4hvNfWMhnq/P49ZvLSM/tWBu8W2tp614xu56TUVhNZX3THu3r8yq5beZy3v4ph5sn9+aRaUNUrlVERKSTaetO1LmAP1Df+rsf+xgJ+JkxZiYwGYgyxmynpZrSo8C7xphrgWxa1lYAzAGmAhlALXA1gLW21BjzMLC09biHrLW/XJgt0imt3VHBVa8twemyvHxFKvd/vJZrZizl41smEhvmf8DzNxVU8dgXG/jD1IH0ig52e3xV9U1MfWo+vt5eXDA6kfNGxRMTuve4rLWk51by6eo8PluTy7bSOoyB/jEhjOoZjrcxfLehkB3lLe33TRnAr4/v7faYRUREpP3tdydqY8zTgAWSgDG0VEECOBlYYq09r90jPATaiVo6um/XF3DHOysJ9XfwxrXj6NM9mPV5lVzw/EJ6Rgbx3o3HEOS37/x+Y34Vl768mJKaRqYMieX5y0e7PcZHPlvHf37cyvCEbqzcVo6XgRMHxPCXswaRGBG487iymkbuem8V320oxOFlmNg3ilMGxVBS3ciy7DKW55TR7LRM7BvFyQO7c8KA7nQPOXCCJCIiIp61r52oD5RA/DzdKADwoSWZaAbqAKy1r+/jVI9SAiEdVWlNIw99ks5HK3MZEBvCa1eP2W3TpO83FnLtjKWM7hnOnaf045hekRiz+xSfn5MHh7dhYp9o3l++nc/vmMTAuFC3xbm5oIopT87ngtEJPHr+MLYW1/D+su3MWJiFtZY/njGIS8YmsnJbObe+vYKiqgbuPq0fF45OJDxo9zKsLpfFZS0Ob61zEBER6UwONYHwAR4BrqFlypGhZTTiNeAP1tqmfZ7sQUogpCOasyaPP320lqr6Jm6e3IebT+iNn8N7j+P+t2w7f/1sHeW1TfTtHsyl45KIC/On2WWpbXTy6Ocb8PE2zLx+PBFBvkz6x/dM7BvltlEIay2XvvwT6/Iq+f7uyUTskhBsL6vlnvdXsyCjhBGJ3UjPrSAm1J/nLhvFsATtHi0iItKV7CuBONAaiMeAYCDFWlvVeqFQ4P+AfwK/cXegIl3R2h0V3PL2cobGh/HYBeMYELvv0YILRidw5rA4Zq/K5c1F2Tz4ybrdHo8N9eft68ftXPdw9YRknvoug/V5lW4ZhfhsTR6LtpTw8LQhuyUPAAnhgbx5zTje+imbv3++geP7RfOvC0do/wYREZGjyIFGIDYD/ewvDjLGeAMbrLV92zm+Q6IRCOlIrLVMf3ERmUU1fH/3ZMICDu5me0tRNfVNLhzeBoeXIS4sgADf/z9yUV7b6LZRiJqGZk761w9EBvsy+9aJ+62Q1NDsxNfba48pViIiItI1HOoIhP1l8tDa6HTnJnAiXdnsVbkszSrj7+cNPejkAThghaVugb5uGYUor23kxv8uI7+ynmcvG3XA8qp7m34lIiIiXd+BVjWuM8Zc8ctGY8zlwIb2CUmk66htbObvczYwuEco01MTD3zCIbpmYgohfg6unbGUO2et5MUfMvlxczHNTlebzt9SVM25zy1keXY5T1w0gtE9w9stVhEREencDjQCcQvwgTHmGmBZa1sqLVWZzm3PwES6gufnZpJfWc8zl45s1w3TugX68sTFI/jv4mwWbynhwxUt27QkRQRy/aQULhiduNu0p10tzCzmxjeX4ePtxdvXjyM1OaLd4hQREZHOb79rIHYeZMyJwODWX9dZa79t16gOk9ZAiCe4XJaX5m8hu6SGEH8fAn29eW5uJlOGxPLkxSOPaCzltY0szCzhpXlbWLmtnIggX353Wn8uGZu023E/bSnhileXkBQRyKtXjdltfwcRERE5uh3qGggArLXfAd+5PSqRLsJayx8/WsvMJTlEBftS3dBMfZOLUH8H904ZcMTj6Rboy9ShcUwZEsuSraX8+5tN3PfBGnaU1XHXqf0wxrAut5Lr3kgjITyAWb8+Zo+KSyIiIiJ706YEQkT2zVrLA7PTmbkkh1tO6M3dp/bHGENDsxPw7GJjYwzjekXy32vH8eeP1/LM9xkUVTVw4+TeXPnaEoL9WnbCVvIgIiIibaUEQuQwWGv562freX1RNjcc12tn8gAdq0qRw9uLv507lOhgP576LoMPV+wgwNebt288hvhuAQe+gIiIiEgrJRAih6ix2cVfZq9l5pJtXHVsMvdNGdCh90QwxvDbU/sTFeLHS/O28OTFI+kbE+LpsERERKSTUQIhcgjKalr2TPhpayk3T+7N707r36GTh11dcUwyVxyT7OkwREREpJNSAiFykDIKq7j29TTyKup54qIRTBsZ7+mQRERERI4YJRAiB2FZdhlXv7YEX4c379wwnlFJ2nBNREREji5KIETa6MfNxVz/RhoxoX68ee047ZkgIiIiRyUlEOJ2BZX1vLEoixuO601YgI+nwwGgoq6JNxZm8f7y7SRGBJLaM4IxKeGMTAzf5w7Nu/pibT63z1xBr+gg3rh2LN1D/I9A1CIiIiIdjxIIcavGZhc3/ncZK3LKKalu5NHzhx3R5/8qPZ//+2ojof4+DIkPY3CPULJLanl9YRZVDc0c2zuSoqoGnvh2E9aCj7dhSHwYY5IjGBQXSk5pLWt3VJCeW0lJTcPO69Y3uRiV1I3XrhpLWGDHSIpEREREPEEJhLjVXz9bx4qccsalRPDO0m1MGxnP+F6R7f685bWNPDA7nY9W5tIvJhhj4N20bdQ2OjEGpgyJ5ZYT+jC4RxjQMiKxPLuMJVmlLN1ayowFWTQ6XRgDKVFBjO4ZTmyYPwbAQKi/D1cdm0yQn/6XERERkaObsdZ6Oga3S01NtWlpaZ4O46jz4Yrt3DlrFddPSuG3p/TntCfm4fAyzLljEv4+LdOEvkrP5z/zt2KxOLy88HV4cfLA7lw2rideXvsug1pc3cB36wupbWymodlFQ7OL+ibnzu9fphdQXtvIrSf24ebJffB1eOF0WbYW1+Dn8DrgeoX6JidZJTUkhgcqSRAREREBjDHLrLWpe7QrgRB3WJ9XybnPLWBYQjfevm4cDm8v5m8u4levLOHWE/pw20l9ePTzDby2IIteUUHEhvnT7LSU1TayubCaY3pF8s8Lh5EQvueN/todFVz/RkvZ1F35eBv8HN74ObzoFR3Eg2cPYVCP0CP1kkVERES6tH0lEPqoVQ5bbnkd172eRqi/D89cOhKHtxcAk/pGc96oeF74IZNvNxSyPq+yZcfmqQPwc7SMSFhreTdtGw99so7Tn5jPPaf3Z8rQOKKC/QD4Ym0ed85aRXigD+/fdAwpUcH4+3jh6+2183lERERE5MjRCIQcluLqBqa/sIiiqgZm3jCeIfFhuz1eVtPIyY//QJPTxT8vHM5pg2P3ep1tpbX87n+rWLylFIA+3YPpEx3MF+n5jEzqxou/Gq3KRyIiIiJHkKYwidtV1DVxyUuL2VJczZvXjmNMcsRej8str8PH24voEL/9Xs/lsqzcXs5PW0r5aWsJq7aVc/LAGB6eNmTnGgoREREROTKUQMghaWx2UVhVT0FlA4WV9ZTVNlHb2Ex9k5Ov1xWwLq+S/1w5huP7RXs6VBERERFxow61BsIYkwVUAU6g2VqbaoyJAGYByUAWMN1aW2aMMcCTwFSgFrjKWrvcE3EfbT5Yvp0/fbSW2kbnXh8P8XPw1MUjlTyIiIiIHEU8uYj6BGtt8S6/3wt8a6191Bhzb+vv9wBTgL6tX+OA51u/SztpbHbxyGfreH1RNmNTIjh/VDzdQ/2JCfEnIsiXAF9vAn298dEiZhEREZGjTkeqwnQOMLn159eBubQkEOcAb9iWuVaLjTHdjDFx1to8j0TZxRVU1nPLW8tJyy7juokp3DtlgKodiYiIiMhOnkogLPCVMcYCL1prXwJidkkK8oGY1p/jgW27nLu9tU0JhBtZa/lo5Q4emL2OxmYXT10ykrOH9/B0WCIiIiLSwXgqgZhord1hjOkOfG2M2bDrg9Za25pctJkx5gbgBoCkpCT3RXoUKKis548fruGb9YWMSurGYxcMp0/3YE+HJSIiIiIdkEcSCGvtjtbvhcaYD4GxQMHPU5OMMXFAYevhO4DEXU5PaG375TVfAl6ClipM7Rl/Z1ZYVc/8TcWs2l5OTmktOSW1bCurxcsY/nTGQK6ekIK3l/F0mCIiIiLSQR3xBMIYEwR4WWurWn8+FXgImA1cCTza+v3j1lNmA7caY96hZfF0hdY/HJz1eZXMXpXL9xsK2ZBfBbRUUOoZFciAuBBOGxLL9NREUqKCPBypiIiIiHR0nhiBiAE+bKnOigN421r7hTFmKfCuMeZaIBuY3nr8HFpKuGbQUsb16iMf8sFzuSyLtpSwZkcFNQ3NVNU30+h0MaF3FCcN7L7fjdEamp24XBDge2ibp1lrySyq4Zv1BXy0Ygcb8qtweBnGJEdwz+kDmNQ3ikFxoXhppEFEREREDpI2knOzrcU1fLB8O+8v205uRT0AXgaC/Fpytar6ZkL8HJw+JJYxKRE4vAzeXobGZhfpuZWsyCljXV4lTU5LiL+DmFB/YkP96RkZSEpUEClRQVQ3NLMhv4qN+VUUVNYTE+pPQngAsWH+bCmqYUFGMXmtzz0qqRvnjoznjGE9iAjy9UifiIiIiEjnc1TtRB2dMsje99JHDIgNoX9sCKH+PtQ3OWlodtLssoT6+xAW4EOgrzetIyGHrL7JSXpuBd+sL+Tb9QVsKqjGy8CkvtFcMDqByf2jCfZzYIzB6bIs3lLChyt28MXafKobmne7VqCvN8MSwhiRGE6Iv4OiqgYKKuvJragnq7iGirqmncc6vAy9o4Pp0c2fgsoGtpfVUlnfTFiADxP6RDKxTzST+kaRGBF4WK9PRERERI5OR1UCEZrY30Zd/jiuA7w0H2/DyKRwpqcmMnVoLIG+LaMEjc0usktq2FZWS255PXkVdRRVNVDT6KS2oZmaBifFNQ0UVTVQVd+SBHh7GcYmR3DSwO6cOawHsWH++33u+iYnRVUNOF0Wp7UYICkicL97LpTVNLK1pIYgXwcpUUH4OnY/tqq+iUBfhxZBi4iIiMhhO6oSiNTUVPvjop/YXFDNhvxK6pqc+Du88fPxwuHlRVV9E+V1TZTWNPJVej5ZJbUE+zkYlxLBtrJathTV0LxL9uHtZYgM8iXY30Gwn4NAX28ig/yIDmn56hkZyKS+0YQF+HjwVYuIiIiIuM9Rl0C0dQ2EtZYlW0uZlbaNVdvKSYkKpl9MMP1iQkiKDKRHWADRIX76VF9EREREjir7SiA8tZFch2GMYVyvSMb1ivR0KCIiIiIiHd6+J9yLiIiIiIj8ghIIERERERFpMyUQIiIiIiLSZkogRERERESkzbpkFSZjTAWw2dNxtEEUUOzpINogDKjwdBAHoL50H/Wl+6gv3asz9Kf60n3Ul+7VGfpTfek+7urLntba6F82dtUqTLOstTd4OogDMcak7a00VkdjjHmpo/en+tJ91Jfuo750r87Qn+pL91Ffuldn6E/1pfu0d1921SlMn3g6gC5G/ek+6kv3UV+6j/rSfdSX7qO+dC/1p/sc9X3ZJRMIa+1R/x/WndSf7qO+dB/1pfuoL91Hfek+6kv3Un+6j/qyiyYQnchLng6gC1Ffuo/60n3Ul+6l/nQf9aX7qC/dR33pPu3al11yEbWIiIiIiLQPjUCIiIiIiEibKYEQEREREZE2UwIhIiIiIiJtpgRCRERERETaTAmEiIiIiIi0mRIIERERERFpMyUQIiIiIiLSZkogRERERESkzRyeDqA9REVF2eTkZE+HISIiIiLSaS1btqzYWhv9y/YumUAkJyeTlpbm6TBERERERDotY0z23to1hUlERERERNpMCYSIiIiIiLRZl5zCJCIiIiLS1blcli3FNazIKaNnZBBjUyKOyPMqgRARERER6eBcLktOaS3puZWk51awZkcFK7eVU1XfDMBl45KUQIiIiIiIHK0KKuuZv7mYtTsqWJdbybq8SqobWpIFh5ehb0wIZw3vwYjEboxK6kavqOAjFpsSCBERERGRDmBrcQ2frsrlm/UFrNpeAUCAjzcD40I4d2Q8g3uEMrhHGH1jgvH38fZYnEogREREREQ8aM32Cp6bm8EX6flYCyMSu/G70/pz4oDu9IsJwdvLeDrE3SiBEBERERHxgA35lTzy2Xrmby4mxN/BLZP78KtjehIT6u/p0PZLCYSIiIiIyBFU1+jkyW8385/5WwgN8OHeKQO4bFwSIf4+ng6tTZRAiIiIiIgcIfM3F3HfB2vYXlbHRamJ3DtlAOFBvp4O66AogRARERERaWf1TU4e/XwDMxZm0Ts6iFk3jGdcr0hPh3VIlECIiIiIiLSj9NwKfvPOSjYXVnP1hGTuOX2AR6soHS4lECIiIiIi7cBay2sLsnj08w2EBfrwxjVjOa5ftKfDOmxKIERERERE3KysppG731vFtxsKOXlgdx67YDgRnWytw74ogRARERERcaMlW0u5feYKSmoauP/MQVw9IRljOtZeDodDCYSIyFGmvslJcXUDpTWNlNY0Yi1Eh/gRE+pPZJAvXoexYVGT00VtoxN/Hy/8HJ13fq+IyKFwuizPfp/BE99sIikikA9umsDQhDBPh+V2SiBERLqo+iYna3ZUkJZVxob8SnJKa9lWWkdxdcM+z3F4GRLCA0iOCiI5MohQfwe1jU5qm5zUNTqpbWymtvHnn53UNf3/tvomJ01Ou/Naof4OokL8iAvzp2/3EAbGhTAgNpT+sSGdevGgiMjeFFTW85t3VrJoSwnnjOjBI+cOJdiva95qd81XJSJylKqqb+KTVXl8uGI7K7eV77yhj+8WQM/IQE4e2J2E8ACiQ/yICPIjIsgHMBRV1VNQ2UB+ZT05JbVsLa5h6dZSapucBPh4E+jrTYCvN4E+jpbvvt50C/QhwNdBoE/LYy2Pt3yva3RSVN1AcXUDO8rrmbV0G3VNTgB8vb0YHB/KqKRwxiRHMLFvVJd9kxWRo8PiLSXc8tZyahudPHbBMC4cndClpiz9kv5ii4h0ARvzq/jP/C18ujqPuiYn/WKCuWZiCqk9IxjdM/yQFu5Z25J8uONN0OWy5JTWsiG/khXbylmeXcZ/F2fzyo9b8fX24tg+kZw8MIapQ+O6zCJDEen6rLX8d3E2D36yjp6Rgcz69Xj6dA/xdFjtzvz8BtGVpKam2rS0NE+HISLS7oqrG/jXV5uYtTSHAB9vzhreg4vGJDIisVuH//SrsdnF8pwyvl5XwNfrCvh/7L15fNxXee//PrNoRtKMltFqW6styc5qJ5GdxDaBQAjLZWvKEn4FAuV3U0q4lEvhB/TX+6KX0t600AUKBEJL2bNQStkJYQkJWb0kceLEuy1LtrUvM5Jmn3P/+M5XGstaRvZI3yP5eb9e8xppJI+OnzNn+TzneZ5zcngSr1tx86X1vHVrIzvbqnFfQD6GIAjCUhJPpfnkD/dz765uXr6pln++dQtlfq/TzSooSqk9WuvOc14XASEIgrDySKQyfO3R43zhN0eIJdO847pmPnRTOxUlK9N7r7XmQG+E7+3u4QdP9zAymaQpVMKHbmrnjVvWiZAQBMEo+iMx/vTbe9nTNcIdN27gw6/cuCrnKREQgiAIq4THjg7yv/7reY4OTHDTJbV84rWXsKEm4HSzCkY8lebBF/q466Gj7D8dpr02wJ/fvJFXXVZn/KmKIAirn309o9z+zT2MRZN85i1X8ror1zrdpCVDBIQgCMIKp3csxp0/f5H/euY0jaFiPvWGy7lxU63TzVoyMhnNz5/v5R8ePMixgQk2N5TzkVdtZGdbtQgJQRAc4QdP9/Dx7z9HdcDH3e+6hsvWrr4SrbmIgBAEQVihDETiRKjsUAAAIABJREFU3PXQUb79ZBdoeN9L1/P+G9sumlKoqXSG/3z6FJ/71WFOjUa5bn2I/+/Vm7i6qdLppgmCcJEQTaT51E/2c89T3VzbGuJLf3Q1VQGf081ackRACIIgrDAisSRfeugoX3/0BIl0hluuWscHX9FOY6jE6aY5QjyV5p4nT/KF3x5hcDzBrVsb+dirN1EpVZsEQVhCDvZG+MB393JkYJz3vXQDH35lB163y+lmLQsiIARBEFYI6YzmP/Z085kHDjI4nuANm9fyoZvaWb+K8hwuhIl4is//+jD/+vvjlBd7+cRrNvHmVV5zXRCE5UdrzT1PdfO/f7yfoN/LP71tMy9pr3G6WcvKXAJiyeSTUuprSql+pdTzOa/9lVLqlFLqmezjtTk/+4RS6ohS6qBS6lU5r786+9oRpdTHl6q9giAIJvD0yRHe+MXf87HvP0dzVSk/vGMHn3/7VSIecij1efjEay/hpx/cyfrqUj76H/u4/Vt7GJtMOt00QRBWCZFYkg/e+wx/8YPn2NYa4ud/9pKLTjzMx5KdQCilbgDGgW9qrS/PvvZXwLjW+rMzfvdS4B5gG7AW+BXQkf3xIeCVQA+wC3i71vqF+f62nEAIgrDSiMSSfOaBg3zriS7qgn4+8dpNvGHzWvGqL0Amo/n3x05w589fpK7Mzxf/n6vZ3FjhdLMEQVjBPH9qjA98dy8nhyf585s38qcv3YBrFZZozYe5TiCW7CZqrfXDSqmWPH/9jcC9Wus4cFwpdQRLTAAc0VofA1BK3Zv93XkFhCAIwkriwRf6+F//9Tx9kRi3Xd/CR161kYBvyabnVYXLpXjvzlauaa7kju/s5c1ffoy//G+X8q7rm0V8CYKwKLTWfOuJLj79kxcJlRZx7+3Xs6015HSzjMSJFeoDSql3AbuBP9dajwDrgCdyfqcn+xpA94zXr12WVgqCICwx8VSa//OzA3z9sRNcsqaML7/zGraI9/y82NJYwU8/uJOPfO9ZPvmj/ew/PcZfv+lyfJ6Lo1KVIAgXxlg0yce/v4+fP9/LjRtr+Ie3biEkBRrmZLlTyO8CNgBbgDPAPxTqjZVStyuldiuldg8MDBTqbQVBEJaE7uFJ3vLlx/n6Yyf44x2t/PCOHSIeLpCKkiLufmcnH3xFO/fv7uHWu5+gPxxzulmCIBjOrhPDvO5fHuHBF/r4i9du4t9u2yriYQGW9QRCa91nf62U+irwk+y3p4DGnF9tyL7GPK/PfO+7gbvByoEoUJMFQRAKzmNHBvmTb+8B4CvvvIZXXVbvcItWDy6X4sOv7OCS+iAfvv9ZXv+F3/OVd3aKOBME4RzGJpPc+YsXueepbtZVFHPfn1zPNc1yv0w+LOsJhFJqTc63fwDYFZp+BNyqlPIppVqBduAprKTpdqVUq1KqCLg1+7uCIAgrkl+/2Me7v76LNeV+fvbBl4h4WCJec8Ua/vP92/G6Xbz1K4/z/T09TjdJEARDyGQ0P3i6h1f840Pcv7uH229Yz4MfvkHEwyJYshMIpdQ9wMuAaqVUD/BJ4GVKqS2ABk4AfwKgtd6vlLofKzk6BdyhtU5n3+cDwAOAG/ia1nr/UrVZEARhKfnxs6f5n/c9w6Vry/jGe7bJBWhLzCVryvjRB3Zyx3f28uffe5YXz4T5+Gs24blILoASBOFsMhnNL/b38s+/OsShvnGubCjnG3+8jcvWljvdtBWHXCQnCIKwDNz71En+4gfP0dkc4t/e3UnQ73W6SRcNyXSGv/npi3z9sRO8pL2af3n7VVSUiHgThIsFrTW/fKGPf3rwEAd6I6yvKeVDN3Xw365Yg/siLc+aL8texlUQBEGwPF5/98ABvvK7Y7y0o4Yvv+MaioukMtBy4nW7+Ks3XMYla4L85X89zxu/+ChffVcnHXVBp5smCMISorXmNwf6+adfHeL5U2Faq0v557dt4fWb14pwuEBEQAiCICwRE/EUH7rvGR58oY93XNfEJ19/GV4Jn3GMt21toq02wJ98ay9/8MVH+ae3beFmyUERhFVHMp3hZ8+d4V8fOc5zp8ZoCpXw2bds5k1b1koIY4GQECZBEIQl4HBfhA/e+wwHe8N88vWXcdv2FqebJGQ5Mxblfd/aw7M9Y7x7ewsfe/UmORUShFXA2GSSe3ad5BuPneDMWIz11aXcfsN6/vCaBnHenCcSwiQIgrAMRBNpPv+bw3z14WME/B7+/T3beGlHjdPNEnJYU26Va7zz59Ylfg8fGuAf37ZFSr0KwgrlxOAE//7ocb63p4fJRJrtG6r4mz+4nJd11OKSUKUlQU4gBEEQCoDWmgdf6ONTP3mBnpEob76mgU+8ZhNVAZ/TTRPm4dEjg3z0e8/SF4nzxztauOPGNkmwFoQVwnM9Y3zxt0d44IVePC7F6zev5b07W6WqUgGZ6wRCBIQgCMIF8vTJEf7Pzw7w1Ilh2msDfPpNl3Pt+iqnmyXkSTiW5G9+8iL37+km4PPwvpdu4D07WigpkkN6QTCR3SeG+ZffHOF3hwYI+j286/pmbru+hdoyv9NNW3WIgBAEQSgw3cOT3PmLA/x03xmqA0V86KYO3ra1UWJtVygHeyN85oGD/OrFPqoDRbxtayO3bm2iMVTidNMEQQAO9UW48+cH+M2BfkKlRbx3ZyvvvL6ZMimLvWSIgBAEQSgQE/EUdz10lLsfOYZLwe03bOD2G9YT8InHejWwp2uYL/72KL892A/ASztqeNOWddzQUUNILv8ThGWnLxzjH395iO/t6abU5+H9L2vjtu3Nckq4DEgStSAIwgWSyWh++Owp7vz5AfrCcd60ZS0fe80m1pQXO900oYBc0xzia+8OcWo0yn1PneS+3d08dHAApeDKhgp2tlVx6ZpyNtYHaKkqlbKQgrBERGJJ7n74GF995BjpjOY9O1r5wI1tVIqQdxw5gRAEQciDZ7pH+d8/3s/TJ0e5sqGcT77+Uq5pDjndLGEZyGQ0z50a46GDAzx0qJ9nu0fJZJfOIreLsmIPPo8bn8dFkceFz+Oyvve6WFPup7U6QGt1CRtqArRWi+AQCkMsmaZnZJJTozFOj0Y5MxZjZCLBaDTJ6GSCiXiKZFqTTGdIZzRBv4eKkiIqir2srSimoz7IxrogrdWlFHnM+kzGkmnu393N5351mKGJBK/fvJaP3ryRpioJJ1xuJIRJEAThPDg9GuWzvzzIf+49RU3Qx8devYlbrlonpQEvYmLJNEcHxjnUF+FQ3zjhaJJ4KmM9kmkS6QzxZIZoMs2p0SgDkfjUvy3yuGivDXDJmjI21Qe5dE0Zm9aUSWiUMCeRWJIj/ePWY2CcI33W88nhSXK3cEpBebGXypIiKkq8BHwevG4XXrfCpRSRWIqRyQSjk0l6wzHSWRXscSnW15TSUWcJipbqUtZWFLO2wk9t0L+sNzafHo3y7Se6uOepk4xMJrm2NcRfvPYSNkuJZcdYtIBQSt0y3xtqrf+zQG0rOCIgBEG4UEYmEnzpoSN84/EuAN67s5U7bmyTPAdh0URiSU4MTnK4P8KB3ggvnglzoDdylrCoLPGypjy7aSvz4/e48WQ3fn6vizK/l6DfQ2VJEZesLWNtuR+lRMSuNlLpDAd6Izx9coS9J0d5+uQIJ4Ymp35e5HbRWl1KW22ADbUB1leXsq6ymDXlfurK/HkXcIin0hwbmOBQX4SDvRHruS9C93D0rN9TCgJFHoJ+D8HsZzD364DPQ2n2EfC5Cfi8lPrcU68HfNO/M/OUI53RjEWT7OsZZU/XCLtPjPDUiWG01rzy0jrevb2V69aH5HPuMOcjIP49+2UtsB34Tfb7G4HHtNavW4qGFgIREIIgnC9D43G++XgXX3v0OBPxFLdc3cD/fGUH6yokz0EoLIPjcQ6csQTF8aEJesesUJT+SJxkKkMqo0llMiTT567T1YEirmyo4MqG8uyjgmq5c2RWYklrs3y4P8KJwUlOj0Y5PWaF/MRTaTIZazOb1hqttfV1RpPRZJ81Slmbd5/Xjd/roibgY015MXVlfhoqi2mtLqW1upSGyuK8QtS01oxOJjk+NEHX0AQHe8d5+uQI+3rGiCbTANQEfVzdVMGVDRW01wZoqw3QFCpZ0hC4iXiK7pFJzozGOD0WpW8sRjiWIhJLEYklred49jmWYjyeIpHK5PXeRW4XpT43HreLiXiKyUR66mcuBZeuLWNnWw1/dK1UPjOJ8w5hUkr9ErhNa30m+/0a4Ota61ctSUsLgAgIQRAWS9fQBP/6yHHu391NPJXh5kvr+MirNtJRF3S6acJFTiqdYTyeIhxNMTAeZ//pMZ7tHmNfzyhHBsanwljWVRRPiYnNDeVcurbsorsUL53RHOyNsPfkCHu7Rni6e5QTQxNnhfrUBH1WiE65H7/XjUsp3C5wu6wTH+t7NfW6y6XIZDSJVIZEOkM0kaY/Eqd3LEZvOHbWRlgpCPo8lJd4KfN7zzoRSGc0E3Fr0x2JpaaEAlhhRJetLeOqpkqubq7kqsYKGiqLV4T3PZnOTP2/JuJpxqe+nn62vk4zEU+RymTOOqG4ZE0ZWxorKJXTXSO5EAHxotb6kpzvXcD+3NdMQwSEIAj58kz3KHc/fJRfPN+Lx+XiD65ax3+/oZW2WhEOgvlMxFM8f2qMfT1jPNszyr6eMU4OT4e81AZ9dNQF2VQfZFtriGvXV1FevHpq5seSaZ48PszuE8PsPTnCMydHmchu6KsDlgf/kjVltNdZHvyWqlL8XnfB/r7WmuGJBMcHJzg+OEH3SJRwNEk4mmQsmiSZmd5juRQEfFYIUGmRh/pyP63VpTRXldIYKsbnKVy7BKFQXIiA+ALQDtyTfeltwBGt9f8oeCsLhAgIQRDmI5PRPHSon6/87hhPHh8m6Pfwjuuaec92uclUWPmMTCTYd2qMg71hDvWNT8W5x1MZlILL1pbx8o21vOaKNWyqD64IL3cuvWMxfvbcGR46NMCTx4aIpzK4XYpN9UGuaa7k6ibr0RhaGR58QTCZC6rClE2ofkn224e11j8ocPsKiggIQRBmI5HK8MNnTvHVR45xqG+cNeV+3ruzlVu3NUlytLCqiafSPHNylMeODvH40SF2dw2T0dBaXcrNl9Xx0vYarm6uLKh3vpAk0xl+c6Cf+3Z189DBfjIaNtSU8tKOWm7oqGZba0guFROEJUDKuAqCcNESS6a5b1c3dz10lN5wjE31QW6/YT2v37w276olgrCaGByP88v9ffz8+TM8fnSIVEbj87jY1hriyoZyOuqCdNQFWV9T6mhozfHBCe7b1c1/7OlhcDxObdDHWzobePM1jbRWlzrWLkG4WLiQEKZbgL/Dqsaksg+ttS5bioYWAhEQgiCAJRzufeokd/3uKH3hOFtbKrnjxjZe2lEjoQ2CkGU8nuLJY0P8/sggjx0Z4sjA+NQdAW6XormqhI7aIB31QTrqAnRkLx9bCvGttebowDgPHxrkgf29PHl8GLdLcePGWm7d2sjLNtbIRXyCsIxciIA4Arxea/3iUjWu0IiAEISLm1gyzXefPMmXf3eU/kicbS0hPnRTO9dvqBLhIAgLEE+lOT44waG+cQ5n8ycO94/TNTQxdQO3x6XYWB9k+4YqdrQtPoQokcowMG5VMuoamuDE0CQnBifYfWKY02MxwApRuuXqBt58TQN1kpskCI5wIQLiUa31jiVr2RIgAkIQLk5iyTTfyQqHgUica1tD/NlN7Vy/XoSDIFwosWSaI/3jHO6PcLB3nGe6R9jbNUoinZm6zbi9Lkh7bYCqgI94Mk0smWYikWYgEqc/Eqc/HKM/Emd4InHWeysFa8uLuWJdOTd01PCS9mq5C0AQDGAuAZGPu2C3Uuo+4L+AqWszTb6JWhCEi4toIs13nuziKw8fYyAS57r1IT5/61Vcv6HK6aYJwqrB73Vz+bpyLl9XPvVaNJFm14lhnjg2xKG+CM/1jPGz586cde+Cx6WoDvioK/PRUFnC1c2V1AZ91JX5qSvz0RSSMqaCsNLIR0CUAZPAzTmvaUAEhCAIjjKZSPGdJ07ylYePMTge5/r1VfzL26/iuvUiHARhOSgucnNDRw03dNRMvRZNpInEkxR73fi9bilUIAirkAUFhNb6PcvREEEQhHyZTKT49hNd3P3wMQbHE+xoq+JLr7iaba0hp5smCBc9xUVuiovkNEEQVjMLCgilVAdwF1Cntb5cKXUl8Aat9aeXvHWCIAg5TCZSfOtxSzgMTSTY2VbNn93UztYWEQ6CIAiCsFzkE8L0VeCjwFcAtNb7lFLfBURACIKwLEzEU3wre+IwPJHgJe3VfOimdq5pFuEgCIIgCMtNPgKiRGv91IwKJqklao8gCMIUM4XDDR01/Nkr2rmmudLppgmCIAjCRUs+AmJQKbUBK3EapdSbgTNL2ipBEC5qJhMpvvm4CAdBEARBMJF8BMQdwN3AJqXUKeA48EdL2ipBEC5KZuY4iHAQBEEQBPOYV0AopdzA+7XWNymlSgGX1jqSzxsrpb4GvA7o11pfnn0tBNwHtAAngLdqrUeUFR/1OeC1WCVj36213pv9N7cBf5l9209rrb+xuP+iIAim0z08yb27TnLvU90iHARBEATBcOYUEEopj9Y6pZTaCaC1nljke38d+ALwzZzXPg78Wmt9p1Lq49nvPwa8BmjPPq7Fqvp0bVZwfBLoxAqh2qOU+pHWemSRbREEwTAm4ikePjTA9/b08NuD/Sjg5Zvq+NOXrZfkaEEQBEEwmPlOIJ4CrgaeVkr9CPgeMCUiFrqJWmv9sFKqZcbLbwRelv36G8BDWALijcA3tdYaeEIpVaGUWpP93Qe11sMASqkHgVcD9yz8XxMEwTTCsSQ/f+4Mv9zfxyNHBkmkMtQEfXzgxjZu3dbEuopip5soCIIgCMIC5JMD4QeGgJdjnQIozv8m6jqttZ2A3QvUZb9eB3Tn/F5P9rW5Xj8HpdTtwO0ATU1N59E0QRCWgnRG89jRQb63u4cH9vcST2VoqCzmHdc2c/NldXQ2V+KRm2oFQRAEYcUwn4CoVUp9GHieaeFgoy/0D2uttVLqgt8n5/3uxkr2prOzs2DvKwjC+aG15hfP9/LZXx7k6MAE5cVe3ra1kT+8uoErG8qZURpaEARBEIQVwnwCwg0EOFs42JzvBr1PKbVGa30mG6LUn339FNCY83sN2ddOMR3yZL/+0Hn+bUEQlonfHx7k7x84wL6eMdpqA3zu1i28+vJ6fB63000TBEEQBOECmU9AnNFaf6rAf+9HwG3AndnnH+a8/gGl1L1YSdRjWZHxAPC3Sim7FMvNwCcK3CZBEApEXzjGp378Aj997gzrKor5zJuv5JarG3C75LRBEARBEFYL8wmIC1rxlVL3YJ0eVCulerCqKd0J3K+Uei/QBbw1++s/wyrhegSrjOt7ALTWw0qpvwZ2ZX/vU3ZCtSAI5pDOaL7zZBef+cVB4ukMH7m5g/9+w3o5cRAEQRCEVYiyCh/N8gOlQit1s97Z2al3797tdDME4aLg94cH+dufvcgLZ8LsbKvm02+6nJbqUqebJQiCIAjCBaKU2qO17pz5+pwnECtVPAiCsDy8cDrMnb84wMOHBlhXUcznbt3CGzavleRoQRAEQVjl5FPGVRAEAYCRiQQ/3nea7+89xbPdo5T5Pfz/r72Ed17fjN8r4UqCIAiCcDEgAkIQhDmJp9I82z3G40eHeOLYELu7hkmmNZvqg/zFazfx1s5GKkqKnG6mIAiCIAjLiAgIQTCAsWiSI/3jHB0Y59jABAOROFprMlqjAY/LRZFH4XG58LpdeD2KIrf1tdul8LjU9LPbhSf7dcDnIej3EvR7cLsUqYwmlc4QT2UYmkgwNB5naDxBOJZkMpFmMpEiHE0xEIkzMB5neCIBgFJw6Zoy/nhHK2/cso5L15Y5azBBEARBEBxDBIQgOEAileHJ40P8/sggjx4ZZP/pMHY9A69bURPw4XYrFAqlIJXWJNOZ7MP6OpHOMEcNhEXhdimCfg+lRR5KityU+jw0VZXQ2VJJTdDHJWvKuLY1JCcNgiAIgiAAIiAEYVnpHp7ku0+d5P5d3QxNJPC6FVc1VfKhV3Rw+boyNtQEaKgsxuN25fV+qXSGtNakM5pURpNOZ58zlsiIxFJEYkkisRRprfG6FW6XC5/HRVVpEVUBHxXFXlxyT4MgCIIgCHkiAkIQlhitNU8cG+arjxzjtwf7UcArLqnjbZ2NbG+roqTo/Iehx+2SQSwIgiAIwrIiew9BWCLSGc2DL/Ry1++O8Wz3KFWlRfyPG9u4dVsTayuKnW6eIAiCIAjCeSECQhAKzNB4nPt39/CdJ7voGYnSFCrhr990OW+5pkFKnQqCIAiCsOIRASEIBUBrzd6To3z7iS5+uu8MiXSG69aH+MRrLuFVl9XlndMgCIIgCIJgOiIgBOECiCXT/ODpU3zr8S5eOBMm4PPw9m2NvOO6Ztrrgk43TxAEQRAEoeCIgBCE8yCeSnPvU9188bdH6I/E2VQf5G/+4HLetGUdpT4ZVoIgCIIgrF5kpyMIiyCRyvC9Pd184TdHODMWY1tLiH++dQvXr69CKSmFKgiCIAjC6kcEhCDkQTKd4T/39vD5Xx/h1GiUq5sq+OxbNrN9gwgHQRAEQRAuLkRACMI8xFNpfrD3FHf97ihdQ5Nsbijnb2+5ghvaq0U4CIIgCIJwUSICQhBmYTye4rtPdvGvjxynPxLninXl/Nttnbx8U60IB0EQBEEQLmpEQAhCFq01+3rGuHfXSX70zGkmEml2tFXxj2/dwo42CVUSBEEQBEEAERCCwJH+CA/s7+PHz57mQG+EYq+b1125hndc18zmxgqnmycIgiAIgmAUIiCEiw6tNc+dGuOB/b384vlejg5MALClsYJPv+ly3rBlLWV+r8OtFARBEARBMBMREMJFQSSW5KnjwzxyeJAHX+jj1GgUt0tx3foQt21v4eZL66kv9zvdTEEQBEEQBOMRASGsCtIZzXgsRTiWZCya5NRolO7hSbqGJnnu1BjPnRojndH4PC5e0l7Dh25q56ZL6qgsLXK66YIgCIIgCCsKERCCcWQymu6RSQ71jTMQiROJJQnHkkRiKcLR7POM7yPx1KzvFfR72FgX5I6XbeD6DdVc1VSB3+te5v+RIAiCIAjC6kEEhOAYWmv6wnEO9kU41BuxnrOPWDJz1u+6FJQVewn6PZT5reemUAlBv5eyYo/1nP1ZWbGHtRXFNIVKqCiREwZBEARBEIRCIgJCWBa01hwbnGBP1wjPdo9yqC/Cwd4I4dj0yUFt0MfG+iB/dG0zG+uCtNcFqC/3U+b3UlLkljKqgiAIgiAIBiACQlgSook0+3pG2d01wt6uEfaeHGFkMglAmd/DpjVlvHHLOjrqg3TUBuioC0o+giAIgiAIwgpABIRQEM6MRdnTNcKerGDYfzpMKqMB2FBTyisvreOa5kquaQ6xvroUl0tOEwRBEARBEFYiIiCE8+L0aJRfvdjHrhOWYDg1GgXA73WxuaGC229YT2dLJVc1VsrJgiAIgiAIwipCBISQN/3hGD997gw/2XeGPV0jANSX+bmmpZL37myls6WSS9aU4XW7HG6pIAiCIAiCsFQ4IiCUUieACJAGUlrrTqVUCLgPaAFOAG/VWo8oK3P2c8BrgUng3VrrvU60+2JkcDzOz5/v5SfPnuapE8NoDZvqg3zk5g5ee8Ua1tcEnG6iIAiCIAiCsIw4eQJxo9Z6MOf7jwO/1lrfqZT6ePb7jwGvAdqzj2uBu7LPwhIxMpHgF/t7+cm+0zx+dIiMhrbaAH/2inZed+Ua2mqDTjdREARBEARBcAiTQpjeCLws+/U3gIewBMQbgW9qrTXwhFKqQim1Rmt9xpFWrlKS6Qy/PdDPfbu6eejQAOmMpqWqhPe/rI3XbV7DxrqglFEVBEEQBEEQHBMQGvilUkoDX9Fa3w3U5YiCXqAu+/U6oDvn3/ZkXxMBUQCOD05w/+5u/mNPDwORODVBH//vS1p5/ZVruWxtmYgGQRAEQRAE4SycEhA7tdanlFK1wINKqQO5P9Ra66y4yBul1O3A7QBNTU2Fa+kqZCKe4pcv9HLvU908eXwYt0tx48Za3ra1kRs31uCRJGhBEARBEARhDhwREFrrU9nnfqXUD4BtQJ8dmqSUWgP0Z3/9FNCY888bsq/NfM+7gbsBOjs7FyU+VjvpjObFM2EePjzAw4cG2NM1QjKtaa4q4aOv2sibr2mgrszvdDMFQRAEQRCEFcCyCwilVCng0lpHsl/fDHwK+BFwG3Bn9vmH2X/yI+ADSql7sZKnxyT/YX4m4ime6R5l94kRdncNs7drhIlEGrAqKP3xjlZevqmWrS0hudBNEARBEARBWBROnEDUAT/IxtZ7gO9qrX+hlNoF3K+Uei/QBbw1+/s/wyrhegSrjOt7lr/J5jIRT3GoL8KB3ggHzoR5unuU/afDpDMapWBjXZBbrm6gs6WS69dXUSsnDYIgCIIgCMIFsOwCQmt9DNg8y+tDwCtmeV0DdyxD04xAa81EIs3IRIKB8TiDkTiD4wmGxuMMjltfD+Z8PRZNTv3bkiI3V6wr509fusG6BbqpkvJir4P/G0EQBEEQBGG1YVIZ11WB1ppYMkMkliQcSxGJJYnEUtlHkrHo2Y9wLGU9299Hk6Qys6dwlPk9VAd8VAd8bKwPsiPgozboo6MuyKb6MhoqiyUkSRAEQRAEQVhSREDkwe8OWcnHsWSaeCpDLJkmlswQT6WJJzNMJKYFwng8RTI9fw6326UoL/ZSXuylLPvcFCqhvNhDmd/6vrK0iJqsWKgKFFEVKMLncS/T/1gQBEEQBEEQZkcERB48c3KUe586ic/rxu9x4fe68Xnd+Dwu/F4XdWV+2mo9BP0egn7v1HOZ/9zXyou9lBa55X4FQRAEQRAEYUWirBSD1UVnZ6fevXsZv6jwAAAgAElEQVS3080QBEEQBEEQhBWLUmqP1rpz5utyY5ggCIIgCIIgCHkjAkIQBEEQBEEQhLwRASEIgiAIgiAIQt6IgBAEQRAEQRAEIW9WZRK1UmoMOOx0O/KgGhh0uhF5UA6MOd2IBRBbFg6xZeEQWxaWlWBPsWXhEFsWlpVgT7Fl4SiULZu11jUzX1ytZVzv01rf7nQjFkIptXu2zHbTUErdbbo9xZaFQ2xZOMSWhWUl2FNsWTjEloVlJdhTbFk4ltqWqzWE6cdON2CVIfYsHGLLwiG2LBxiy8IhtiwcYsvCIvYsHBe9LVelgNBaX/QdW0jEnoVDbFk4xJaFQ2xZOMSWhUNsWVjEnoVDbLlKBcQK4m6nG7CKEFsWDrFl4RBbFhaxZ+EQWxYOsWXhEFsWjiW15apMohYEQRAEQRAEYWmQEwhBEARBEARBEPJGBIQgCIIgCIIgCHkjAkIQBEEQBEEQhLwRASEIgiAIgiAIQt6IgBAEQRAEQRAEIW9EQAiCIAiCIAiCkDciIARBEARBEARByBsREIIgCIIgCIIg5I3H6QYsBdXV1bqlpcXpZgiCIAiCIAjCimXPnj2DWuuama+vSgHR0tLC7t27nW6GIAiCIAiCIKxYlFJds70uIUyCIAiCIAiCIOSNCAhBEARBEARBEPJm1QuIE4MT9EdiTjdjXrTW7DoxjNba6abMS184RtfQhNPNWJCnT46QSGWcbsa8hGNJDvSGnW7GghzsjTA2mXS6GfOSSGXYe3LE6WYsSPfwJGfGok43Y0FWwlw0EIlzbGDc6WYsyL6eUWLJtNPNmJfxeIr9p8ecbsaCHOmPMDyRcLoZ85LOaPZ0DTvdjAU5NRqlZ2TS6WYsyJ6uYdIZs+ei4YkER/ojTjdjQZ4/NcZEPFXQ91z1AuJPv7OXv/rRfqebMS+7u0Z4y5cf58njZk88f/2TF7j9m3ucbsa8DETi3HLXY3xvT7fTTZmXf3vkOG/64qPGC5233f04n/v1YaebMS8/f/4Mt3zpMY4Pmi1uP3TfM3z8+8853Yx5ef7UGG/58uP89mC/002Zl888cIB3fe0pp5sxL5FYklu+9BjfenzW8GFj+M4TXbzpi48SiZntKLjta7v4+18ccLoZ8/LbA/384V2PGy/IPv79ffzP+55xuhnzcnxwgj+863F+9twZp5syL5//9WHe+pUnjHa6JNMZbrnrMb76yLGCvu+qFxADkTj7T5vt6R2IxAGMb2d/JM7h/ojRHrWhiTharwxbxpIZoze9yXSG0cmk8YuhPX5ePGN2n6+IuWg8OxedMrydkTg9I1GjT8dGJ5OkMnpFjJ9kWnO43+wTnZU0fl4wvZ2ROC+cDpMx2Lu/UvZFA+NxhicS9IbNjXQJR5MkUpmC23LVC4hILMnJ4UmiCXM3vbbn51Cv2cdgkViKjIajBocORGLWEZ35trT6/GCfue2csmVfxGjvit3Ogyugzwezi42pTNnS4M8l5Hw2DQ4dCE+NcXPnS1gZc2YsmSaRznC4P2L0pndqLV8B42cikebUqLkhlSvJlmD2+pO7lheSVS0gYsk08VQGreGIwd6VcNT8xRAsFQtw2OAF0W6j6ZvecHZAHzZ4crRtOTKZZHDc3E2vvVE7bPD40VpP9bnJC+JKGOMw3edm29Lq76MD46TS5oYqTtvS3D632xhLZug2OHZ/ai032JawMubMlTDGYWXMmbYtC+1MX9UCwlZdYLZHLZxzAmH2ptd8r7ndxnAsRV847nBr5saedEz2WoRzYqJNnsTtRdtkW04m0lPJgEbbMtvnRwfGjc7PmdqoGdznti0TqQxdwwZvelfARs3ubzB7nK8EW2YymvG4PWcavOnN9nnPSHSqvSayIvZFWVsW2pm+qgXEytkAWe00+Ugxd9IxetGOrjDRaHIbV9iifWJoknjKzFDF3LnIaFtm+zyV0ZwwuOLayli0c9afFdDnRttyha3lZ8ZijOX0v0lE4ilsP+VKsCWYflK/Ak6Wc9efArZzVQuI3BMIkzs3t52mHoONJ3ImHYOPPXMriZg86dh93jU8aWxS+lm2XAF9ns5ojg2YueldCWMczu5zU+fMVDrDZPYY3mxb5q4/JrfT6vOBSJwRQ/NzVo4tp9tpamnPlTDGwRI6NmaP8+kQJlPzc5ZqX7SqBYStYBtDxWZ7gGJJGiqLAXO9QLm27B6OFryecKEIx1L4PC6qAz7DPb1JGkPFRufn2F6LxlCx4bZM0Riyxo+pC2Lu+DlocH5OOJZibbkflzLXa25v0hpDxQxNJBgcNzNU0R4/DZXFxn4uwerzlTR+TG0jWH1u29LU8CDbY94YKuZI/7ix9yyEo0mqA0X4vS5j90V2nm1jqJhoMk3PiJkRJLl9LicQeWJP4J3NIU6PxYytcx2OpmioLKa+zG/s5Gh/ADubQ4DBm95okrJiLxvrAxwytI3xlDXp2LZcCX1+uG/c4E1vkisbKvC4lLm2zJmLxqLJqRKFphGOJqkO+mipLjXW05trSzB7/JQWublkTZmxbdRaE44mp21p6JyZ2+fHBiZIGpqUHo6m2FhXRmmR29g+z7VlPJXhpKH5OeFYkvJiL+21QWNtaTszjJ+LYklcCrY0Vhb0NGdVC4ipzm2pBMw9+gzHkpT5vXTUmzxQspNO1pamegQisRRlfg8ddUEO95lZ8s/+XF6xrpwit7nelUgsiVJwdVMFkXiKM2Nm1rmOxFJUlxaxvqbUWK/fzLnI5D4v83vZWGfyXDRjXjf2pCTrzKgLcnxwwsj8nFgyQyqjaa8LEPR7DLbldJ8n0hm6DM3PicSSVJR4aVsB4+ea5uxcZHCflxV7aa8LGGxLa180ZUtj25ki6PeyqT7IqdFowZzpq1pA2MeepqtDu3M7agMc7jPzSNEuQXnZ2nJ8HpexC004lrRsWRdk0tCkdPtzWVnqZX1NqcG2TBHwedhYXwaYOTlmMppIts/bDV607T43fdEOx1IE/R7a64KcGJowMj/HtuX66gAVJV5j71mwHUPtdQFSGW3kpZG2N7q82JozTRzjYPW5x6XY3FABGBweFEtlBbi5m96Zc5HJ7bSdGX3huJGXRtr7orUVftaWmxxBkiSYdaxC4Zzpq1tAxJK4XYr22gAlJh8pRpOUFXvoqA8ST2XoNvBI0Z50KmyPgKlH3dkQpumBYl6f25NOmd/LxvqguSdj2Qm8oy4AmJmUPpGwLjcsK/awsS5I98gkkwnz8nPsPm+pKqU6UGRsUmDuom3qpZH2presePqk0UTCUUuMbawv7KJdSOx53Xa6HDY0P8dyDHloqw1Y+TkG9nk6W6nQ3qgNjicYMjA/xx4/dWV+o3NKbGfG1FpuYFK6PX6mI0jMG+Mw7czYmLVloebM1S0golY4iysrIkwcKJmMZjyRym7UrM410QsUmVq0vXTUBo31mtshTO3ZTa/xtqyzjhRNrHMdzh4hV5QUURv0Gen1i+SIsY66gLFJ6eFYkiKPC7/XTXutuZ5eK2zAMyUaTZwzwzP63NSk9Ejccma0Vpfidikj58xpW1p9PjKZZMDATa8dzuL3ummuKjXyczlu2/IsB5Z5c5E9Zwb9HsNDFbPOwKwAN/HUNjKjz4/2m3lpZDg7rzdUFlPsdRds/VnVAsL+AAJ01JmpDu2azGXFXtprzfX0hnMmnY76IL1hM+tch7N9Xub3srbcb6Sn105OzhWNZvZ5kjK/B4CN9UEjS7mGZ4gxMHPRtpwZ1ly0sd5MT28ilSGaTFPm99JSXYrXrQy15XSfb6wLEjH00kjbgeXzuGmtNnPTmzt+pr2TZva5PX46DA0PmrJljtfcyDkzmqSkyI3X7aK9LsixgQnjLo20kvtTU+t4wOcxdo2E6bU8kTbz0kh7/Lhciva6QMHG+KoWEPYRGFiL9kAkzrBhda6nj5A9lPo82TJbZk7gxV5r0in0MVihsCcdu8876oNGei3sScf2AIGhnt6olVsAtgA3LyndFmNBv4fmqlKKPC4zbZkjxjrqgkZeGhnJ+Vx63S421ASM9poHfB6jT23tfCzAWE/vdAiGx2hP71lreV2QE0Pm3Z8zlhMOVlfmo8zvMdSWybNsaeKlkfFUhkQ6Q9DvQSlr02vkGI/OspYb2Od2ni1Q0Fyn1S0gcrwW7YZu1HIVLGBseJAd2gAYGx5kTzplOQPlyIB5Sem5HtSpI0VDw4PsPu+oCxBLZugeMcu7khuD6nYp2moCZi7a0STB4mkPKpg4F00fx4M1Z5o2xiFrS58Ht0tNnzoZ1uda63PmzK7hSaIJsza9ueFg1QEfodIi4z6XcO5abuKlkbm5OUqpbH6bibZMnbVGgnmiMXeNBFuAm7dG2nm2JUVu2moDKGXevgim82zBWn8KdWnkqhYQkVhO2IChXvPpGLppr/mxwXHj6lzbSTgA6yqKKS1yG3fUnXscD9bkmEiZV/IvEkvhUlBa5J4+UjTxqDuWPGehMW0Sj8RnLDT1ZibV2rk5kOvMMMyWM5wZG+sC9IyYd2mkHQ8PUFlaRE3QZ9xGbTKRJp3RZ60/2sCk9Mg5c6aZ4UG5YsxOSjdtzszNxwKyVeHMuz/Hzs0BWF9TikuZty/Kzc0By5bDBl4aac/rSimKi9w0hUqM2xfl5tlC7lp+4X2+qgVE7lFdXZmPoN9jnDrM9aCCNYEn05oThpX8y7WldaRoXnjQdG7BtNIGEz29VmiDUgrASqo1zJaZbEWRcze9ZrUzN4QJLE/v6bHYlJg0hVwxVl7stS6NNKzPz7WlvVEza0HMnYvAzE3vTGdGu7Ge3hRFbhc+j7UVsCoxmbfpzR0/LVWleFzKQFtOl8QFSzSORZP0G3ZppJ2bA+D3ummpLjVvXxQ79wQCzDtpzA3zBYwskGHn2QZzQmhBBMSC2CU9wdr0mngMFp7htTDW05vj9QNrQJvmAZoZDmYfKZpmy9zjRICN9QH6I3FGJ83Jz8lN7gcr3nxdhXkl/3JjUAFjE0HD0dRZfd5RHzSuLOGci7aBfV6Ws2h31AU53D9uVH7OTDHWUlVCkdtlZJ/bceZg2dK0SyOT6QyTifTURq3I47LuzzFtjMfOdWaAgeMndvamt6M2aOB8OZ2bAyY7A1PnrOUnDLs0cmY42JpyP0GfpyDjZ9UKiFQ6w0QiffZCk41JNMm7EsmJmwTYUGPVuTZNxZ6zaNdbda5NOlKcGQ5WUuShKVRinC1zQ+vATNE4M5wFrNAB07x+kXgKv9eFz+MGCutdKSSR2NnjZ2OdeZdGzgxnaQyV4Pead2lkZOaibeClkTPHj8ftYkOteUnp5ziG6s1LSh+fMa/DdFEHk7D7POA725lh3JwZO9eZYdqlkTPDwWqCPiMvjZw5r3dkk9JNujRypi2VUlaBGTmBmBu7rv5ZA6U2wOhk0qiSf7anyp50/F43LVWlHDgTdrJZ55BbBQOmPQImTY65lyLZtNcGDbTlzBAMa6E50GtOO2d6UMHyqJlW8m/mEbKdn2NSn8eSaeKpzAxbWpdGmlT9ZGafu12KttoABwwa43CuB9UOD3rRoD6feZoD1pxpnC2j09XBwPJGAxw4Y047Z54sgzVnnhyeNOr+nHA0RcDnweO2tlVVAR9VpUVG9blVqXDmpjdARpt1ajtz/Cil6KgNGrVGwvRlkTZTa7mR4+fs/dvB3gt3pq9aATG9GE4PlM2NFQDsPTniSJtmIxxLUlrknpp0wGrn092jxpyUWBVFkmcthleus2z5tGG2hLMXmi2N5RwdmGBs0pyY+NwqGGAdKdYEfTx9ctTBVp3NbBugLQ0VJNIZ9p8ec6pZ55BbHhXA5VJc0VDO093m2DIyo7oRwJZGe/yY085wLIlSECiatufmhgqe7R416qRk5qb30jVleN3KqD6fmY8Fli3PjMU4M2bOSUl4xrxeXuKlparErHk9eu74sdfyZ03q8xlzEWTXcoNsGU2mSWX02bZsyM5F3ea0M/euJJvNjeXsPxU26qQkPOMEor02QEmR26g+nxnCBFafj0WTHLvAk5JlERBKqa8ppfqVUs/P8XOllPq8UuqIUmqfUurqnJ/9Qik1qpT6yWL+5myq67K15fi9LnadGD6//8gSkJunYdPZUslAJE7XkBklM2PJDMm0PmuglJdYFw89dcKkgXLuqVNnSwiA3V0G9fmMRVspxdaWSp46blAbo+eKMduWZo2f1DnjZ2tLiP2nw8ZUD5pN2LbVBCgv9rLLsD4P+jy4XGrqta0tISLxlDGev0xGE4mf3efFRW4uX1duli1j556Gbp0aPybNmWefhoI1znd3jRjjwMq9N8fm6qYKXArj5szc/gZrLT86MMGQIaG+s50sN1QWU1/mN8uWsSQel8Lvnd6idraESKQzPHfKIAfWjP2bx+3iqqYKs/ZFsXPF2NRafoF9vlwnEF8HXj3Pz18DtGcftwN35fzsM8A7F/sHZ/OgFnlcXNVYyW6DOndmPDzANsM2auEZeRo2W1sr2ds1Yox3MpKddIq97qnXtjRW4HUroxbt2fp8a0uIU6NRThsSxz0znwSsONTW6lLDbJmc1ZbpjDbGuz+bLV0uSzTuMkjYzoyHB9jamhXghvT5RCKb3D/LnLmvZ8wY72Qkdu5G7ZI1QUqL3Ow2ZF6Hudef4YkERw25Z2G2fKyg38sla8qMcgzNzC2A6bV8d5cZ42c2Wyql2NoaYteJYWNEox3xYCf3A3Q2VwLm7Itmy7MFa/050Bs2phLgzDxbgA01pYRKiy54LV8WAaG1fhiYr9ffCHxTWzwBVCil1mT/7a+BRQeUzaa0Aba2VLL/9JgxsZMz4+HBSqSuKPEaM1Bmyy0Aa6CMx1PGxB7PrCgCVk7JFevKjbFlKp1hPJ6a5XNppmg8x6PWXMnuE8PGVLyZmZsDcJXtnTTFlnOMn86WEMcGJowpRDAztwCsnJK15X5zbDnLxhymvZP7eszwToajSXweF/4cZ4bH7eLqZsNOGmOzn4CDQXPRLCfLYM2Ze7tGjbkzaWY4C8AVDeUUeVzGnI7N5lgFa1/UF47TM2KGAyu31KxNVcDHhppSY2xp7yFnW8u1hj2GiMaZebZgicbO5soLHuOm5ECsA7pzvu/JvnbezBY2AJZHLaPNid2fbQJ3uRSdzSFjvH4zL3WxsTe9pnjUZgtnAavP9/WMGuGdnE7uP7udm+qDBHwec/p8LgHeGmJkMsmxQTMS7mYLAQz6vVy6tsycz+Vcc1GLWd792RZtsPp8tyHeydniecE87+RsYgysPj/YF2Es6rx3MpHKEEtmCPrO7vPW6lKqA0VG2RJmE+CVRJNpXjhtlgMrF5/HzZaGCnYZtplcCQ6s2cbPtlYrvM4EB9ZsuTlgObDcLmXU+jMzzxYsW54cnqQvfP4lm00REBeMUup2pdRupdTugYGBOReaq5oqcakLj/0qFLk31OaytaWSY4NmeCfn8lqsrShmXUWxMZPjbOEsAFubQyTT2gjvZGQOMWbHTpoygUdiSUqK3HhnTDomxXFbyf3nhmAAdDaHePqkGd7J2UKYAC5fV4bP4zJqoZlNgHe2hIzxTs4sSWhTWVpEe23AIFueG84C1qZXazMKecws22tjeSfNcmApxTlCx7RN72whgGD1+f5TY0wmnI96mMuZ0VEXJOj3GDGvw+zhYGDN65FYyoj7VGbLswWrfPzla8sMsuXc8zpcmAPLFAFxCmjM+b4h+1reaK3v1lp3aq07a2pqiMwx6QR8Hi41qHNnS7yC3M51fnKcealLLp0tlew6boh3cpZwFoBrDPJOjs0RzgJmeSdn86aBdSFWdaDICAEeT2VIpDOztnNrS4hoMs1+A7yTc4Uw+TxuNjeaJBpnHz9bsyEtJoTezLw4MBc7+deEnKyZpTJtrmqsxONSRoyf8BzCFqx5/UK9k4UiHE0SmJHcD1BX5qcpVGLE+JmtPKrN1pYQqYzmGQNysubqc7dLcU0BQloKxXy2BDMcwHOdjIE1Fz3TPWrEhXIzS83aXLa2jGKv+4L63BQB8SPgXdlqTNcBY1rrMxfyhuFYkkDRuZMOWB/Cp7tHHK9nr7We01N1xbpyfB6XEUJnLq8fWLbsj8TpHnbeOznXpFNZWkRHXcCIyXGuhHSYjp3ca8CJzsxSszZWxaiQEcm/c50ywvSm1wgBHkviUlBa5D7nZ9taQjx/OmyGd3KO8dNRG6TM7zEiYXWu01CAba2VlnfSgAvGwnN4o+2KUSZ492ertGazrdUc7/5suQU2nS1WURSnHVgTiTQZPfu8fnVzJUqZcWo7X59vbQlxpH+c4YnEcjfrHObq88ZQMXVlPkNsObcA39oSIpHK8LwBFaPmsqW3AFEPy1XG9R7gcWCjUqpHKfVepdT7lFLvy/7Kz4BjwBHgq8D7c/7tI8D3gFdk/+2r8vmbc8XDg9W5saTz9ewnE2nSGT1r5xZ5XGxprDBmAwRzbdQMW2hmGcxgeQT2GOCdnK2+tc10xShTbDnXoh2iezhK75iz3sm5jpABasv8NFeZ4Z2056Lc5H6bzpZK0gZ4J9OzlEe1cbkUnS0hQxbteU5Dm805tY3MUh7VZmtLJc/0OO+dnM+DeumaMkqK3IYIndk9qGAJ8KGJhOM3/851yghQXmyVPDdFgBe5z07ut7HXchOSf+fqc6WsuciEMT5XOBjkFiIwwJYLrOUvnglPhTMuluWqwvR2rfUarbVXa92gtf43rfWXtdZfzv5ca63v0Fpv0FpfobXenfNvX6K1rtFaF2f/7QP5/M3IHCEYYE6VidkumMplW6vlnXS6nn04mqLI7cLnOffj0l6brWdvwICeKx4erIUmEks5fnO2PVDL5/FOmmPLuRdtcH78hBcYP1tbQkZ4J+fKzQErvM6EilFTyf1zbnrN8E5Ol0c9154NlcWsKfcbUYM9PM9cZHsnn3M4J2uu3BzIVoxqMqNi1Fwx3GDO3TTzndKDtZbv7Roh5XBO1ly5BQBXNpRT5Hb+nqxkOkM0mZ57X9QS4vRYjJ4RZ+/Jmm//Vh3wsd6QilELreUZDXvP04FlSghTwZnv2LM26KelqsRxdTjbBTm5dGbr2T/j8G2bthibzYNqVYxyPnYymc4wmUjPurGAadHotBdorjKUNltbQjzb7Xw9+7mqYIBVz77EgHr283mjwfL0Dk0kLvi2zQtlrtwcsDbCm+rLHPf0zhfaAOaEhIVjSfxeF0WzODNs76QJOVnznYZO52SZ3eedLZVG1LOfT4wVqp79hTJfaCpYa/lEIs2LZ5x1YM0VpghWyfMrG5x3YM1VaMRmai13us+z4yfgm2P9aTajYtRcebYAWy6wYtTqFRDRuZU2MHUM5uRCs9AEbsptm3PF89p0toQcv21zPm8aWPXs15Q7f9vmQpNOZ3OlEbdtWuVRZ2/jlHfS6Ql8Aa9foW7bvFDmW7TB2pzvPemsd3KhDdBUPXunBcQcuTk2W1sq6Q3HHK0YFUumSaQyc7Zzqp6907ZcwIG11fZOOhzSYo2f2dtYqHr2F8p8IUyQU4jA6XbO48wAa858rmeMaMI5B9ZCttxUX0bQ5zHAlkmCPg/uWfJswRI6Y9Ekh/udK3k+X54tZIsKrSk7733R6hUQ85xAgHV0MzKZ5OiAc527UAiTKbdtzjeBg5W8CM7etjnbDZu5TCX/OiwaI7EUAZ/nnJrMNiYcyc9XHtXGhNs25ypDabO+upQqA7yT84UNgHXPwmQizQsOXsi4UAjGVD17p20ZnzucBXLu1nBwzlzIgwrZevYOX8gYiaWyyf2zt3O6nr3T42fhPu8amqTfwYpRC/X5mvJiGiqLHT/BW8iW21orrYpRDkY9LLQvcrsUV2cvNHWSucr22phQiCCanDvP1mZrtmLU+RQVWrUCYq6ShDYmJLks5AGCbMUoh+vZR+YJZwG4fJ3lnXRyQM91QU4uJty2OVd5VJtQaRFttQFHF+1oMk0qo+ft8612PXsHReNCfW6FtFQ6L8AXGD928q+jc9ECXj+w5sznTzntnZx/Xjehnv18RSdsOptDhGMpR72TdmjDbJUKIbeevXPjJ2Mn9+exljvpwMqnz7dmCxE4HfUw32bymibnCxHMVxzDZmtLJYf6xhmddC4nKzxPoQSAplAJNUGfIfui+dfyeCrD8+dRVChvAaGUunq+x6L/8hKzkNK2b9t88tjQMrbqbBYKYQJr0plMpB0tBzbfERhkvZONFTzpYKhIXhN41iPgaDsXmMCBqZMSp0Ja5itPZ7OlqQKPSzne5x6XoniWiiI2tnfyzJiDonGBPq8vt+rZOzoXLRACCNb4SWW0o5egLXSy7M7mZJk+r2+bmouc7fP5+hvskuejjuVkjSdSaD3/vH75unKKvW4j+nwhZ+DgeNzRnKyF+ry8xMum+qDjayQsLMbA2fDuheYipRTbWkI86WBO1kKhqTAd9fDkscXbcjEnEP8wz+Ozi/7LS0hGa6sm8wKde/2Gah49OuRg5y7sNb9uvdW5jx11dnJcaNO7fUMVz50aY2zSmZCWhUKYwKpnX1VaxGNHBperWeewUDgLWLaMxFI879AlaPnYsqTIw1VNFQ7bMjlneVSb7RuqAXjsiDPjJ5XOMJFI59XnTxwbcqzMcD59vq0lhMeleNTx8bPQXFTN0YEJx8oMR/KY1xtDJTRUFjtsyyRB3wK2bKsikco4dtKYjy29bhdbW0M86uAaGYml8Hlc+DxzOzO2b6gCcHzOnM8bDXD9hip2nRh2TDTm0+dbmirwe12O7ovyWcuv31DFmbGYY2WG85nXa4I+OuoCPHZ08Z/LvAWE1vrGeR4vX/RfXkLsRXihzt2xoYqBSJwjDh0jh2NJijyz12S2qQr4uGRNmaMLzUJhNwA72qrRGh53yAuUTwiTy6W4fkMVjx4ddNQjsNAEbi80TvV5PqF1YG3UnBSNC4WzAGyqDxIqLeLR85gcC4FdHnXBPm+rJhxLORnHdNQAACAASURBVHbSaI+fwDz2LPV52NJY4ehGbaGwAbA2vcB5LYiFIJ/TUIAdG6p5/KhzonGhQiMA21qrLNHolC3zOM0Bay0/0j/u2M3Z89Xat2muKmFdRTGPOuTMiKfSxJKZeUODwPpcxlMZx04a8xk/Po+brS0hA/ZFC3wu2ywHllNzZj77IrDW8vMRjeeVA6GUulwp9Val1Lvsx/m8z1JhT8j5du7vndqoLVBRxGbHhip2d4044hFIpDLZSWf+dm5uqKCkyO34pnfBRbutmr5w3LHkeevYc/7BXBXwsak+6Jwto/MnsdnsaKsm46RoXOAIGXJE4xFnROP0xYELn0CAg3NRLElJkRvvHMn9NtvbqnmuZ5Sx6PKLRquiyMJ9fkl9GaHSIkfndVh407u9rcpZ0ZiHLQM+D5sbK/i9Q5vefMJZIGej5uhaPv8YV0qxo62Kx44OOiIaF0pOtrl2fQi3gyeN4WgSpSAwR3K/zc62ag47KRrz6PMWWzQeNntftLOtmlhy8aJx0QJCKfVJ4F+yjxuBvwfesNj3WUqmTiAWmBwbQyU0hUoc8wjMVys8lx3t1SRSGUcSaxeqdGNT5HFxbWvIUU+VUhCcozyqzc6phcY5j8BCtgSrnU6Jxvlu2MxlS6MlGh3z9M5TajaXnVOicfmPkfOdwKuzotFRW+bhzNiZFY1POCAaY8kMybResM9t0fjYEWfCU/OJO4bp8Don58x85qIdDorGhUo121y6pozKEq/Da3l+tgzHUuw/j4TVCyXf05yg38vmhnIHbZki6PPMmdxvY4tGJ+ZMq1Lhwn2ulGL7hioedyg8Nd8+t0XjYkN9z+cE4s3AK4BerfV7gM1A+Xm8z5KR1vmFMAHsaKviyWNDjiSsLlQq02Yq9tiBgZJPcqXNjrZqjg1MOJKwGs6WR11o0mkMldAYcib2eGrSyefUqc0SjXsciD3Ot8+LPC62tTp3jJzv+NmxwbmFJl8xBlaf7zrhjGjMJ54XLNFY7HU7EsedTzyvzY4N1fSGY44krEZiSdwLJPeDFXu8qT7oWH7OQpUKbXZsqCKjcSRJOZJnOOWUaHQoPNW6X2Hhz+X1U+GpTtgyv3AWsOaifT2jjpTpzic0CCzRWOGQaJxIpBfMs7XZ0VbNWDTJCw7kNOaTZ2v93MuVDeWL3mOej4CIaq0zQEopVQb0A43n8T5LRibPECawvECReMqRi7vyiecFK/b4qqYKRzZqUxP4Asl2kONRc2BA53Mcb7NjQzWPOyAa7Uknnz7f1mqJRifCMPL1WoBlS6cSVvPJzQFoqrISVn/vwDFyvjGoYDkznBON+S3atmh05HOZ52YSLFuCMyEtdmjDfMn9Nucbe3yhpKfKoy7c51c1VVqi0YE47nxDmMDaqDmVsBpZ4K4km9qgn411zpw05nsaCtPhqedTmedCyfeU3uWyvPuPORCemk/VLRs7J8sZB/DCebY2O9uq2dcztijReD4CYrdSqgL4KrAH2As8fh7vs2TY+8J8BrSTCav5HnuCcwmr+cbDw3TCqhPeyXwSam22t1U7UuVoMYuhnbDqiC1jSYrcLnyehaeH7Y5v1BYnGpf7GNmejMvz6POphFWn5qI8x8+OtipHROPYIuaippCdsGr2vL6jrcpKWF1m0TieZzw8WKJxq2OicRECfINzeRCLWsvbqnjq+PKLxnxzc8C6RNDvdRk/F23fUM1pB0TjYsRYbdBPR13A+DVy+4Zq0hm9KNG4aAGhtX6/1npUa/1l4JXAbdlQJmOwQ5jy8ahNVzly5kgx387d2W5XOVreD2G+8bww7RH4vQMegXziEW2cEo0L3fY7kx1t1exzQDTa4Sz5eFDthNXltmUynSGaTOe/UWu3RONynzQups8DdpUjR04a8/P6gXMJq4sJYVJKsbPNmSpH+YYGAVy7vgq3AyeNiznNAdjZ5kyVo0gsSbF34eR+cLbKUXgRfe5UlaN8w8HA2SpHkTzDwcC5KkeLXcvtk8Z4anlFYyTPPFuAq5sXLxrPtwrTOqXUdqAJqFBK3XA+77NUpDOaYq+bojw8qGDFeO7pGln2G1bDeR57Qm6Vo+UeKAvfUJvLjrZq+iPLX+UoHFu4IoJNtUNVjha7aDtVGte+oTYfnCqNu5h4XnBONNqnTvOVR81le1v2pHGZE1bzDaeEHNG4zEfy0wm1+drSmSpH+SakQ45oXOYN0GJycyDnPpXl7vM8Ss3a2FWOlvukMZZMk0gtXKnQ5nwTVi+UxXjNYbrKUf8yi8Z8i2PAdJWj5T6pX0wIE+RUOeoaXcpmnUO+uTkwLRoXM8bPpwrT3wGPAn8JfDT7+Mhi32cpyWR03h0L2YTVdIbdXcsX7xdLpomnMnkP5qmEVQcmcMh/0d7hUB7EYhZtsPp8uascLSaECXISVh3YqOXb32D1+XJXOVpMngY4V+UoHEsS8HlwL5Dcb2MnrC5nlSOrPGr+p6Eul+L69ctf5Wix48epKkeLyccCq8+Xu8pRPrfN52JXOfr94eXf9C52Xh+LJpe1ytFiN+Z2laNlP3WKpnApKC1aOB4ecr375o4fu8rRY8t80rjYPneqNO5inNRg9fmhvvxF4/mcQLwJ2Ki1fq3W+vXZh1llXLXOu2NhOmF1OTe9kUV608BSsctd5SgcS2Ynnfza2VRlVTly4kh+MX2+s235S+NOe/3ys2WRx8W165c/9jjf8o42Ox0IaVnsBA7OVDnKp1Z4LnbC6nLacjKRJp1Z3Jy5o82qcrSsonGRXnO7ytHyL9r5e81hOmF1OUXjYm1phadWL3uVo8XO605UOVqskw2cqXJk2zKf0FRwpspRJqMZj+cfTgnOVDlabJ+fb5WjC2Wx42e6YmF+fX4+AuIYkH+LHCCd0YsazHaVo+X0Ti42NAicqXIUybM8ai47NlTzxDJWObInncWcOk2JxmXt8/xuJc5lxwZLNC5nwmokz+pGNnaVo+XcqC02hAmcqXIUybO6kY0TpXHP15awvCEtkVgKj0vh9+a/bG3fUM3uZRaNi+3zqSpHDvT5Yrz729uqlr3K0WLyScCZKkeLyc2xcaLK0WJt6USVo/FECq0XJ8acqHJ0Pvs3u8pRZBlFY2SR0QSXrrVFY362PB8BMQk8o5T6ilLq8/bjPN5nyUhn9KI6Fv4ve28aJdlVnYl+J+Yxh4ichxpVg6o0lkoTYCGQVBJgMCCr3GbZ7l6NTdMecDdNP9vt52c3LK/XHgDb3RgMGBvsZwEGxGyVQAIJDSCV5sqSVGNm5VA5ROQQkTEP5/24cWK898Y9956MvJk631q5pIzIjNy19z37nL33t/cBbq1MOUrnixskVSN47ldgODgURm/AjWcuds7p8GajASULlMwW8dpCcoOkakTN6RiXM1i5YbXTugT4Dmoso/b0ZAfl5KCzMLxhbxTPdFJGTgoToEw5chDg6U7anKOJjeENe5UpR/H13AZJ1QjebDRQm3LUUV1m+DKogKLLXLHcseb5YqmMVL7EpUuPy4Gju3rxdCeroRnjwzEYWAKr4zbn3ssVX1TuEKXFzF5+/Y4eeF0OPH2xk5USM7pUphzNrHSG9WDGrw+Efdg3EOqwXy/C53YY7rMFlOeyVKYdTWDx2tzpILhld9TwecNMAPFtAB8D8CSUMa7syzbgpTAByoZIKbCU7NCmbWKhOBwE45EA5jvY1MTLQQUUXQLo2MQOM5shoMjZWV0W4TU4k5lhR7Siyw5WIMwEjTsiAaykCx3L9PJMB2MIeV2IhrwdnSTDM0aPobZ+OuyLOGxOCMF4xN9ZXXJm04Da+ulUBS9p4jAJKDbvrC4rzf1e43KO9foBoOM+04wus4Vyx3pKzOzlXpcTw90+zHdojQNbZS83v346WaU3E4x1Wpe5Il+fLcOOqKJLI1UnM2NcvwjgftQCh3+pvGYblDkpTADQF/IAAGIdyvrVNho+4/aFvB2TETDnwPtCXgBALJnfCJFaYKYcDyg2j63nOlae5Rk1yxD2uuBxOTpm86rT4V4/is3jqQ7b3ObrJ5njt3lfuLJ+Ou2LTNg8tt4ZewPm1k/VF3VYl7wV8L6QFyvpfMdon8lsEUGPEy4D41EZ3E4HegPujumSUspNBwM2b/2YsXmsQwlLgJ/CBGzGuYifGgRsgl/nGHvNUPNFnT4X8ds8VyxjPdeejWNmCtPtAM4C+BSAvwVwxo5jXDtl3FSuiLlV/vIe70hPhmjQg7iJB3B6OW0qO8wz0pOhqssU34Iulsqm+LU1ahCfnNGQF9lCGWnO8b2Liayp5jeey+4YCCHoC3pMOR0zo3TNboZRFkBwOvG1dMFU1S+RKYAQIGSwuZ9BCRr5dXkxljI15cOMzaNBZdOOc66fbKGEmZU01+8A9b6oM5v27GrG1MhsnlGzDD1+N5wOwu0zy2WKCybWD++gBIa+kAeUAstpPjmXkjmscv4OYK7KCCjr3Mz+c25xnTtRky2UUShR/sRQkB16+eRMZAumRpaaqYYCQDTk4V7jADAVT6FgItA0Y3Oz56JcsYRLcTO+yFwyMBryYDmV56atXV7LIGXgoNyMBGefIAD43E6EvC5un0kpNbWXmz4XBdle3t7mZihMHwdwjFL6ZkrpbQDuBvBJE5+zYaDgP5ibzVR97Lun8e5PPcHtHM2UPQEluxJP8WXNV9N53PXJR/H3j1/k+lsA32V3DH6PE0GPk7sC8Q9PTOLYJx/FMmcW2wwHFTBn83KZ4t7PPIk/+dYE198CzJWQAcXmvM/lI68u4I6PP4oXpvnmTpulg5nNVH3oy8/j17/4DNfvAIrNeZv7AXOH3vNL67jj4z/GN5+f5fo9lkE1s8YB/grenz/4Gt7+1z/hDnSs2DyZLXIlJtL5Iu755GP434+c5fpbgLneHIeDIBL0cNv8/mcu4c5PPIpZzuSQGToYYK5qSynFr3z+Z/i9r7/E9bcAC74oxK/Lp87HcecnHsVTnHddmD2Ym61A/P7XX8L7Pv8zrt8BFJu7HAR+DmoqYK6CN7eawR0ffxRffvoS1+8B5tZPJGjOr/+fR87h7r96jDtpad4XeVEsUy7aWr5Yxs//zeP4ixOvcf0twByFCTCXwPrWC3O44+OP4twiXxBh+lzEsX7MBBBuSmlV45TSM7DhVCazC4Unu1IolfFvp+axmMxhkTOLmswW4XQQBAzOZGaIBj0olGiVK2gED7+yiGyhjJdm+C8x4bnUpR7RkJc7u/Ldl+ZQKFG8eplvHJuZKRiAkrUA+LIrL82uYXo5g5dMNGUmTJQ9gUrViVeXL14GALzMaXPzdDD+TNVKKo/Hz8Vw+nKCO6Nm9gBkpoL34Kl5lCm4G3FT+RLKlN+Bh70ueJwOrgpeuUzxvZfnkMgWMRXnq+KZz/opNucJ+B87s4RkztyN4GaCMUCxOe+m/d0XL6NMwT0a0qouedb5ucV1vLaQxMszZnTJT00FzFUgvvfyHABw+0zTfr26lxvXZTpfxMOvLOLc4jp3RprRWXia+wFFl7y0tRMT8yiWKV7itHmpOh6Vz+ZupwM9ATeXzSml+O5Ll5EplLgPvVb3cp7189MLccRTeVPnIjMUJoCtH/5zEQDuu02srh8jPtNMAHGSEPJ5Qsjtla/PAzhp4nM2FLzG9bgc6Pbz8TufvrhcjXhfm+ebOMRKYLxOp78SHS5xyHliYh4AcGaBbzGXyxTreeM3GdaDN1N1eS2DFytOkXd6k5npRgDQb6ICwXR5MZbivpY+aYKCATCuLF9g+8NXFgCY0KVJOkvURAXi4VcXUSpTFEoUk5zUNTPUIEDJrmQKJa5DArM59xo3WUImhCjrh8PmL86sVpuuz5iwucfJ19wPmKvgnZioPJecugTM27yfs4K3kspXp5CY0SVgpgLOv37Yczm3xk+pTJjoLQAUn8mz95TLFA9VbH6G0+ZrGf7xwgDQG/DAQfiSGY++toRcUTnIn+XO9Jrz6/0maGu1vZxPl+smqakAf9X27OJ6lYrMfy5S5AyZ3MuXOHxm/bmIm0Fi0ua856JUrojHziojVfn3H3M279/gCsR/BnAawIcqXxOV12wFM8aNhviykycm5uGpNKFxbzQmS2A1fpqxhzCdL+Kxs0vwOB2YjKe4SorJHP9M5qqcnJkqtsl4nA4Tm7ZZ3j5f1YlSihOnFJuXyhQXOC/RMp01D/HR1n52YRmJbFHR5TznZmhyCkbA40LA4zS9fswEOmarOYBxm8+uZvDSzJrJ59JcBgjgr+CdmFiAy0FACPCaCZuby0bz6TJfLOPhVxbgcTqwmMxhhaNykS+WkSmUOlLB++ErCyiVKTxOh+mgkVfOWg8Rz/pZqK6fs9z7D/9EK0DRZTJbNJw8eWFmFYvJnKJLs+uHU5cKbY13/dTt5SZsbnaNA8ZtvpzK4+mLyxVftM7F9zfbmwPwV21PnFIO5i4HMXUuCniccHM09wP8FbxymeKh08r6Wc8VMccxwYlSamq6HpOTR5ePnllCvli2tv9w+nYeNo6ZKUw5SuknKKXvBfDrAB6mlOpajRDyBULIIiHklMb7pHKfxDlCyEuEkCN17/17QsjZyte/NyqnOX6a8exKuUxxYmIetx/oR3/YayrSNpdB5aPdPHZmCdlCGcdvHAOl4Copmu3TAPizFg+emsfe/iCO7OwxtWnzzmQGasGYUTnPLa7jQiyF4zeOAeALGmtOx1zWgoe29uDEZfjcDvz8tcN4bSHJlV0xW4FQ5DRu83S+iMfOLOHeG0bhIGY3bXMVCMB4Be+hSpbq+I1jiKfyXM90wmQGFeDLVFGq+KJb90axIxIwtdGYzUYDxnX50wtxJLJFU+snaTKzD/BX8E5MzGO0x483XhE1nczgGY8KKAc7j9NhWJczK2m8PLtW1SV30GjS5mz9GD0EnTg1D5eD4D3Xj+Ls4jpXf05t/zG3foxmo/PFMh5+dRHvvHYEPreZQMfkXs5Zwfvh6QWUqeKLMoUS190MayaroQB/D96DE/M4sqMH+wbDpoJGs/4SgOGpVs9Pr2Apmav5Io79J1csI18qm7b5Mgdt7cFT84gEPbjz0IAFZgafzRltbUMqEISQHxNCugghEShjXD9HCGnXRP2PAO7Ref9tAPZVvj4A4NOVvxUB8McAbgZwE4A/JoT0tpOxN+DBcLev3Y+1oC/kMZzZZ5SBe64awoHBsKlIu9tUNo0v0j4xsYCegBu/essuAHxlMLMZIEDR5XIqb2jDYJSBmi75SoqJrDldelwOdPlchm3OSp7/6ba9cDsJly6Z0zGnS+NTrRhl4Pb9A7huvAdrmQJXfw5zOqaeTY4KHqMMvPPaEezqC3I7R7Mc1D7OCt6JiXnsGwjhnsPDAPg2Gmu6NJ6pYpSBY4eHsN/Mpm16Ig9fBeLExDwCHife/6Y9APgCCHYwN6vLTKFk6JJQRhm469AgDgx14fzSOld/DpsU5eRs7ieEcK0fVrH9j2/cjaDHaSKZYXb/MW7z+sD26K5e5Itlrv6cWhOoOZ9pdI986kIcyWwRb7tqCPsGOriXm1g/oz1+vOf6StDItX7M+6I+jiEE08tpTMwlcPfhIRwYDJlIDBVNydhToa0ZHSN+YmIBbifBB9+8FwCnLi34dTZtbSXdnnKYL5bxo1cXcdeVg7hyqAvTy3wToxLZApwOgiBnny1gvGprhsLUTSlNAHgvgC9RSm8GcIfeL1BKHwOgd7XdL1Q+i1JKfwqghxAyDGXC0w8opcuU0hUAP4B+IAJAufBmpMdv8J9TA89UBEYZuOPgIPZXDr08JcU1k04nEvSAEGORdqGkUAbuODiIvf1BeFx8ZbA1SwvFizIFVgzwOxll4O7DQ9g/FOYuKZrVJcCyK8Ztft14D8YjAezpC3VUl4AxmzPKwN1XKc8lwBc0rmXMOx2eCsSJiXn0Bty4aVekGjTywKzNeSp4jDJwz1VD2D8UAsC30Vi1eXw9byiQPnFqHoQAdx8axIHBMHd/jtkDEKOtGbF5uUzxg9MLuP1AP3ZFAwj7XB3UJctOtrc5owzcc9UQDgyFuPtzzOpSkZNv/RwYDGNPf0jJ9HKs8fVcEWVqUpcc/OgzC+uYjKcrugxXXuvcQY1HlwGPE2/a16cE4Ny9GiZ9EUcFYj1XxE/OxZQ9clDxRZ3TpRcJg7S1h04rgS3by3n7c8zq0lmhrRnRJQts37C3D2O9AQx1+bgCHSF7uQE5nzwfQzJXVPbyyvrh6c9huuTts2VyGvGXZgIIV+VwfxzAd038vhpGAUzXfT9TeU3r9Q1BNOjFWqaAfFE/48QewFv2RNEdcOPAUMhUSdH0Qgl4EDMQaTPKwN2HB+FyOnBFf6hjkTZPduXExAJGun24erQbByqHXt4FbXrTNuh0ZlczeHl2DXcfHgIA7B/iy/RacTq1CRNGdKlQBt56oBZA8AY65p2OsWk3jDJw55XKc7l/MMzVn1MsKZfcmA3AAWMViB++olAG7j48hP6QF70BdweDRg/ypXI1C6uHE6fncf14Dwa6fNg/FObuz7GyfqIGq7bPT1cC28NDIIQoQSMH7UbIpm0go3ZiQqEM3LgrUgvATawfMzBagYiv5/DM5DLuPjwIANwVcEu65KB9nphQAtu7Dg3iioEQd3/OWoWa6nWZyKAarOCVKhXbtxwYgM/txIGhEHd/jlmbM9qaEZ/56GtKYHv34UGEfW6M9vi5E0MA0B0w36thZNraiYl5HBwKY1dfsLqX8/TnWNrLDe4/ry0kMRVPb85ezlHBOzGxgKDHiTfs7TN5LjK3RwKVAGKDKhAfBXACwDlK6TOEkD1QLpbbVBBCPkAIOUkIObm0tGTqM1h2st1CYZSBu6+qPIAd3miM3mD54Kl5+N1O3La/HwBwYChsLtI24XSMRtoKZWAJxyoHi32mdGlhoYSNZapYY1ht0w5xlRQ7kbVgTd637lUC20jQw92fY/W5XE7l2tLWGGWAOfADQ2Gu/hwrdBavy4kun7HLfE6cUigDh0e6QAjhzk4ym1uirbWRc3o5jVOziZouTQeN/HxeJqeRTfvExDzcToK3HBwAUNu0jVIVO1HByxfLeOSVRdx55QCcDoK9/SE4HaRzyQyDFQgW2B6rOwDx9OdYei45KngPnprHkR29GAj7EPC4uPtz1tLWdJnOt6etPX9pBbH1HI5V/Dpv0iVbKCFXNEdNZbQ1I3Z7cGIe0aAHR3dFAFT2cptV8GKVwLb6XFYr4HxBoxldKnIaWz8PnqoFtoCyl/P051jSpcEKXqlM8YPT83jLQSWwHY8EuPtzrOnSY+iMaaaJ+l8ppddQSn+z8v0FSum9JmSsxyyA8brvxyqvab2uJtdnKaVHKaVH+/v7TQlhtKmWHSaPVR7AfR10OgC7wVJ/MddTBth4xv2DfCVFIU6njS4ZZYAdgLr9bgx385UUzXK4AcXmRjP7+wdD2NOvlI+ZczRaUlxLm9dlb8Ct0NbabNqMMsB0CZjLTprXpQdlirY349ZTBgBU6Q1GD+dWnkuAZVf0ZWSUgWOHB6vVmINDfP05a5kCwl5+PjxgvIJXTxkAgN19Qa7+HEopElnzAXjUQAWvxoXvqw5kODgU5urP6UQFr0oZqOjS53ZiVzTQ8QpEu+frxMRCNbAFFF0CxrOTVnQZ8LjgdzvbVp2ml9M4fTlRTbgAii/qpC6B9uunObA9OKTo1KjPtFKlZ3K202WuWMKPKhVb5ksODIW5+nOsUFOjBit4Pzy9AEprSbbRHj93f44VCqDRCt6JiQUc3dlbHVe6fzDM1Z/TiQrec5dWEFvPV32R00G4+3OsrR+FttaOjWOmidpHCPktQsjfVqYrfYEQ8gVTUtbwbQC/VpnGdAuANUrpZSiVjmOEkN5K8/Sxymsbgv6wsUPvidPzuH5HDwa7lEbtkNeFsV7jJUWrTsdIpF1PGWA4UOFxGy0pWuXDA+0PvYwLf+OuWm88byOo1azfarqg64hrlIF6XXZu03Y5HQptrd1zWaEMsMAWAHd/jiUOd7i9zZspAwCwMxLg6s8REkC0ObgyysA9dTbn7c+xEtgarUDUUwYAZTAAT3/Oeq6IUpma1mV/uD1tgFEGGnTJ2Z9jdjwqUHdHSRubM8rAG6/oq752YIivP8eKL+oPedvS1tZzRTx+NoZ7rhqqBra8FXDL+4+Bqi0bONHsM3n6c6zqEtCfEKYEtgt44xW1wHawy4sujv4cIb6ozfp58nwc67ki7rmqMTHE059jhZrab7CCd2JiHuMRPw4NK0GYw0G4+nNKZYqkSWoqYOxcdCmexiuXE+p7eQds3uV3we0k7c9FlXHxtx+oJcN5K+BW+7GA9sN6zFCY/gnAEJQG50ehVAV0/1WEkPsBPAXgACFkhhDyfkLIBwkhH6z8yPcBXABwDsDnALDqxjKAjwF4pvL10cprG4LaHQvaxl1N53FqNoE7rxxseJ0n02ulhAwYi7SfOKdcPsIyKwB/SXGtMirTjNPp8rnhcpC22ZUnzsXwlgMDcNXNfT4wFDZcUmR8eDOjZoHa4UKPtvbTC8soU+COOpuP9/KVFMXYXF+Xj5+L4ZrRbgx01SaQ8fbnMJubktHAhKOzi0nE1nN4a91zydufI0SXbbLRj5+LocvnqlIGAHDzUC1Vc0LtezWyhRJOTi436BLg4/RWdWl2/QQV2ppegPp45SKkO65s9UU8PtPr4r/sDlBoa2Gfq63NnzgXw5v29TX8Dd7+nI22+TOTy8iXyrijzuZ9IQ8iQY+J/cf8OjeiyysGQtgZDVZf2z/I15+zZvJ+BcBYBWJmJYNLy+kGXRJCKlRf43skYMEXBdvfTPzE2Ri8LgfecEW0+hpv0LhmcoQ4YKyCVy5TPHk+jjsODjacF3jORVbGxjM529HWnjjPfFFtL+ftz6mNxOXXJyHEkM0fPxfDzXsiDSNYeftzLO3lBit4ZgKIKyilfwQgRSn9IoB3QBmzqglK6S9ToXaGBgAAIABJREFUSocppW5K6Ril9O8ppZ+hlH6m8j6llP4WpXQvpfRqSunJut/9AqX0isrXP5iQ1zCM8NPYDYtsATPs5ygpisharOeKupvaxVgKI92+hr/BW1K00lvgcLTndyayBcTW89UJAww8JUUrfHigFmkv6WRXLsbWK3KFqq85HKSS3ec9qG0c1/xiLNX6XHJvNBayfpUKnl7W72Ll8HCgyeY8/Tlisn76DvxibB1XDIQa6Ee8/TlWegsiAWXa2pKOzS8tp1GmKrrk6M+xrktP22lrF2MpdPvd1YotAO7+nLW0+YM50P4G5XyxjJmVdDVIZDgwaLw/h1FTrfoivXXO1k+9z1T6c0IdpQDq+UtAsXmLLk1keq3rUlvOC1p7+aDx/hzLuqxU8PT+1sVYCrv7gg3N5Hv6g1z9OVZ0GfQqtDW9CsTcWga5Yln1XGS0P0fEcwnoH3ovxlLwuhzYGQlUX+Ptz1nLFBDyuhqSnlxytqnglcsUk/HW9cOTdKGUClk/7e6lMaMBRqBfJYRcBaAbwIDOz28ZBD1OeF0O3Uh7Kp4GAOzuCzS8zkqKFw2UFEVs2oC+c5yMp6q0BgZCCPYPhfHqfMLQ37HyAAIsu6Kjy5iiy13RRjkPcNAbROlSz+aT8TQGu7wIeBoPg/sHw3iVw4FbcTrKVBFte6dyRSwlcy02rx56DdhcBB8e0Hfgk5X1szPauH5Yfw6zpx6s2jwa8rSlrU3F0y26ZP05PAc1szK6nA70BvSrToy+0Lx+eDYa67pkpW59n9msS4CPE2/ZF7Wp4E2vKMFYs5zsoG5knVuhWQHGKnhT8RTCXld1mgsDz/05jJrKe9kdQ1+bCl6hVMbMSga7mvbIXVGlP8eoz7RCATQybY0lqHY32fxApT9nIdGBQ29Qoa0ldYL9yXiqZY2z/hye/cdKAN6uasvORc0234y9XPdcFEthZzQAR1NfmrKXd/BcpKPLxWQO2UK5xRdVewUN+MxUvmSJmtq3gRWIz1b6Ef4ISu/CaQB/buJzbAdCSFt+9MVYCoQAY72tByCgUwulfaZKWSgam/a88eyKFafT7gbLixUH3ux0qiXFDhyAjExo0dPlUjJnaLydFT6iIqc+13wyrn6YrPbnGOBxW+XDd/sV2lo7B94X8rTcjsnTnyOihwjQpq1l8iVcXsu26BLg46Fa3WjazbLXsjlPptfqodfI+rkYS2FXU8AIoFrBM9KfY12X+hU8Fow1r3Oe/hwR2WigTQU8nsbOvkALrZT158yutqcqWqGmAmzaWl7TbrMrGRTLtEWX1f4cA+vHKh/e51Zoa7rVnFgKAY+z2kzLwFO1FWZzjfVTKlNML2ews691/fBMYrK+/7TZy7WSGez+HJ5zkYmpj0xGoM25KK69l0/G04aoilYCWyZnO38JtOpyqMun3J/T0TOm4AoEpfTzlNIVSumjlNI9lNIBRkXaDugL6d+xMBVPYaTb38LFrZYUO5n10zDuWrqAlXShpUoCKM5xJV0wNIbPstMJ6h96p9imHWlcKH6PEzsNlhStOp0av1PvoJbGbrXDJMdBzXIw1oa2ppUBAirZyQ44HYeDIBLU789Ry6YB/Ju2xyQfHmifqbq0zHSpstEMhXFuaR1Fg1TFjazgTcbT6A24W579an+OAU6vsKyfhs/MFUuYW8uo2vzAUAjZQhnTK2lDcm5kBWKyWllulLPan9OB9cNoa7o+U2P98IzvtUJNBRRdlsoUqxrVwkmNzD5gvD/HapIAaH/onYqnsTMabA3GOHqdrFJTq1UnjfUzt5pBvlRW338Gw5haTiOTb3/oFZPM0H8uvS4HhupoigC47s/Z6HNRuUwxFU9rPpdG+3OsUFOB2hlTK4k7pZFYrd6fY0SXFqY+AkDA44TP7Wjbq2FmCtMgIeTvCSH/Vvn+ECHk/aaktCHaRofxtOohrTryrwNOp90BiDlw1Uib89BryelUKhBaC+ViPIWhLh/8KlOejGZ6rW40Ia8LXpf2ZT7JbAGx9Zx6Bohj005krTsdQNvmFzUyqECtP6fdSLZExlo/iSKn/qatlQGq9ucYtLlVGQHtg1otA6QegOeLZUwt6x96rfLhgfYVPK3KGE9/TtXmVrN+Gj5zejkNStUDW56qrbJ+rNl8RYe2NhlLIexzoVdFD0YzvWw8tlXampbNq9QgFZvXqIrtg0Zx60dj/6n6IjWfGcLMSgbrbfpzrOpSkbNNBU+jMlbtzzG4fqxRU/UrELp7ucH+HEqpZZu3G9d8MZZWpQZV78/pRAAR1N8j5xNZ5Ipljeeyc+eiaMiDfFGbtnYxnoLH6cBwt7/lvf1DxhgkVnVZZeNsAIXpH6GMUh2pfH8GwH8x8Tm2hML1a+d0WhczoMyQNvoAWmrCaXMA0ssAGZ25b7UJB1AWdK5YRkojQzIZS6keLABltrmRkqK4haJu82rPi4rNB7u86Pa7DQeNVh04oM1JnIyl0B/2qvKaDw6FUaw0ZrWTEbC2aUd1KnjpfBELiZxqZYz15xjdaKzJqJ+pqlKDNHj7QPvspIgDULRdNafSXKkGnk3bQYCQx1xw2+13w+kgmj7zokafE8B3f44om2tNMJmMK7pUo/XsHwzjsoH+HCHrR8fm08tplMpU9bms3p/TgWpotG0CK42gx1kd/1mP6v05beQUo0vtCl6xVMalZfXeHMD49CCrz2V1RKrWcxnTr+YA7au26XwJRQvUVEChWunR1rQqy0Dl/pwOHHp9bifCXm3aWlWXKnJW78/pRGK1TbP3ZCyFHdGA6v1BB4fCSGSLbftzrE4HAxSfKZzCBKCPUvpVAGUAoJQWARibcbcF0BdSnI7aQllN57GWKehu2kZKilYfQJ/biZBX+zbdyVgahAA7Iq0Htb6QF1EDI/+sNuGwvwVoZ1e0yomA8ZKiiI1Grzyrd5jkKikKqOYA2pv2lAbNCjCe6RXhdPp1Kng1mpX2pm00u2LV3oCeLlOIBj2q4wSN9udY7S0AgP6wF0kN2lq2UMKcRp8GYLw/hx0mmzOHRuFwEESDHs1barUaVQHj/TmlMkUyW7T4XOpPCNM7ABntz7FKGwD0K3haAzwYeKq2Qg69Oj5zl0YwZrQCbpWaCuhPu5lbzaJYpro+00h/jtVgrDfYrgKRhs/twGBXazBmtD9HVDCmRVsrlSkutdnLU/lS2/6chEVqKgDdyY/VAR4qcvL054hKZuitc7XKGGCc6iuCAtjfhrYGmAsgUoSQKAAKAOziNxOfY0tEQ14Uy1T1tmY9mgigbDRGSopWm3AUObUzVZPxFIa7fJoL0Uh2UlQ2GlDvL0hkC4in8tq6NJidFON0tCcc6ZXjAaVJrBOH3mhQfyrCxXhKU0aj/TkinA6r4KnpQ2tqEIPR/hyrugx5XfC4HNq6jGnr0mh/jqhsNKDOj671aWg9l8YPalZkBCrrR7MCoYxw7Ql4VN830p+TFFHN0cn65YtlzK5kLG/aaxU6mFlqqiKn9rSb9vuPsf6cDa/g6VTpx3sD8LudbalWog69K+mCqj4uxvX9utH+nIRFPrzb6UBvwK25fpgu1YIxo/05QpJsYW2bX15T+jSs7uUifBFLAKthMp6Cx+XAcFOfBoORCniuWEK2YJGaqnPfCxvhqrdHAu0r4CICcCP3VZgJID4MZfrSXkLIEwC+BOB3THyOLaGXnWyXATowpNzA+MLMqu7fSGSKlpwOoJ+pUhvhWo8DFR6dHj1IVBMbACypZCe1Rrgy7OoLwuN04IVpfV2KcTr6WQu1Ea4MB4a6kMgWq9kNNYhxOtpzmbVGuDJ4XU7s6Qsa0iVgMesX8iJbUKetaY1wZTg4rDjHFzfY5oQQ3XsBtMaOVuUc6sKL02u6QaOYyph2Ba9dMHZwqDO6BJT1o3VfRVtdDiv9OWoJm3oZAUG6VLG51ghXhtEeP8JelyFdWqGmMjm1K3jqI1wZDg4p/Tl6oz1FUFN7KrQ1NV1qjXBlcDgUquKLbfZIkYdetSqcXmUMqNvLO7B+oiGvZgVP7zAJKDY/Nbume+mqEF0GtSt4egM8gBpV8YVp/Tyz1T4noE0FIpbCzkhrnwbDwaEwZlYy+ndXCeoTBNTv+GEjXNWqJIDSnzMQ9rY/Y2atUVMBpYIX16GtARwBBCHkRkLIEKX0OQBvBvA/AOQAPARgxrSUNoNef4HWCFeGXdEA9g2E8M3nZ3X/hhCno8OV1WquZDh2eBDpfAknJuZ1ZQTELBS17IrWCFcGt9OBtx4cwHdfmtOd1y8sg6pxmU87Xd555QAIAR7QsbkIXfo9TgQ9TlWba43zrMexw4N44lwMC4msrpxWnY5edlJrhCvD0Z0RRIIePPBCB9aPRgVPb4Qrw7HDg5hdzeCZyRVdGYGNq+C1s/lglw/Xjvfggedn2wY6YrJ+2hUIrcw+ABw7NIRimeJ7L13WlREQpEu19dMms08IwV2HB/FvL8/r0lNFBWNatDWtEa4Mtx8YgNtJdPcfEXx4vWlrWiNc63Hs0CCenVrRvShU5KFXay9XG+HKcPVoN4a6fB3Zy/s0+i71RrgyHDs8iHgqj8fOLunKCFijU9YqEOq6BLR9UbffjVv3RPHN52d1D6PCfJFOn5NeMuOuQ8rt1Ho2F6FLvTtKLur0aTAcOzyIH55eaJt0sUJNBWq0Nb3eL55Uyd8BYJZ5A4A/BPApACsAPmtWSLtBL1OlNcKVgRCC40fH8ezUii6NSchC0ZjQojfCleGW3VGMR/z415PacZ/IhaKWXdEa4VqP4zeOIbaex49eXdSVU4TTKWosFK0RrgzD3X7ctq8fXzs5rZkFEsGHB7Rt3i4DBAD33TCOMgW+8Zy+c7TqdPQqeO2yaR6XA+++bhQ/mFjQbHYVwYdX5FTXpd4IV4a3XTWMkNeFr56c1vwZUXx4QH39aI1wrcfxo2N4dT6JU7PaFySJoFOyCl5zoKI3wpXhmrFuHBgM6+tSwGEyXKGtqT+X6iNc63H86DiSuWLbpIuI5xJQp61pjXBliAQ9uOvQIB54flZz4poIXTI5tdY4oK/Le4+MwUGArz2rv/9Ypabq9Y1pjXBlcDoIfvGGMTx6Zgnza/pJFyEVCJWDud4IV4a3HhxEJOjBv27w+tGbcKQ1wrUex28cw6XlNJ6eXNaVU4QuV9L5FtoaG+Gql8zYPxjGdeM9+OrJac2kiwhdup0O9ATcmroEtKv0gOKLcsUyvvPinObPiEqyAfoj7nkCCCellFn/lwB8llL6dUrpHwG4wqyQdoNepkprhGs93n39KFwO0nZBW3bgQQ+W0/mWQ6ve2DcGh4PgvhvG8fi5GKY1xlGKWCgelwPdfnV+p94IV4bb9vVjIOxte7gQkQECWjNVeiNc63H86Djm1rJ44lxMU0bA+qYdDapnqtpxowHlQHzT7gj+tY1zFHGwANSzflojXOtx/MYx5EtlfFOjCiGCDw9oV/D0Rrgy+D1OvPPaEXzvpctVeZpR5cOLCCDUKhBtKmMA8M5rR+B1OfCVk5c0f0bUpp0tlJFuys7rjXBlIITgvqNjeP7SqmaTsoj1QwjRvJdGb4Qrw827I9gZDeArz2j7Iqt8eEC7gqc3wrUe9x0dRzyVxyOvLqi+Ly6A0NYloH8AGur24c37+/G1Z2d0ky4i1jigUcFrUxkDgF+8YQxlCnz9OfVAJ18sI1MoWZazv00wprfOPS4H3nP9KH5wekGzClilI1ugpvYGPHAQrQqE+gjXetxzeBhhrwtf1Vk/InxRf8gDSoHldKOcbISrXmIIUPbyMwvreHFGnW4lgtoNaPdqsBGuIz2tI1wZrh7txsGhcAd0qU1BZ+AKIAghzDveAeCRuveseU0bgS0UreiwnQPvD3vx1oMD+Ppzs6rUG+Z01Ca88KAv7FUWSlOmykgGCADuvWEMRCcLJCxrrsFJnDIQjLmcDtx7wxh+9NoSFjWoN+xWVWsyqmeq9Ea41uPOQwPoCbg1Ax0R1Rwmp2o1J649wrUex4+O40IshZNT6tQbRZeiAohGXeqNcK3HwaEuXDPWja88ox7oWL1DpSpn2Kva7D1lYNMGlOx+plDSpN6sZQoIeJxwW+DDM9qaus21p54wdPncePvVw/jWC3OqlBjGh98om0+26XNieE8l6dJu/WxU1VZvhCsDIQT33TCGpy7EcUmj30mMLtUzvTMrGc0RrvW4bV8/hrp8+KpGdVmoL9Ko5miNcK3H8aPjuLyWxU80qDdC/HpYvYJXLCnN0e10uasviJt3RzQz0qJ0GQ16kMy20taMVMYARZeFEsU3X1DPSK9lCiAWqakKbU2rAt7+XOT3OPHO60bw/VOXNak3a2nrNo9qVG2N0HwB4OevHYbP7djwvTwa1DgXxdIYj/hVR7gyKEmXcbw4s4ZX59WryyJ8UVSHgs7As7vdD+BRQsi3AGQA/AQACCFXYBtNYXJW+J3N2ZXVdB6r6ULbBxBQFnRsPYcfv9bqHEU0qgL1N1iqb9pqI1zrMdrjx5uu6MPXnp1R5SUypxNucyhtK6dGeVZvUkc97rthDKUyxTc0eIlCS3Xr6k6n3WHS63Li3deN4qGJBaymW/+twioQGtNuJmP6pVmGt189hKDHqZm5EKHLiMa0qKlqA7UBmx8dx6vzSUzMtTpHkdWcQolWm+IYJuMpRIKetp9/3XgP9g2EdDcaqzIC6jZXRrhmdLO8DPcdHUMyq069EcGHV2RUr+AZ3bSjIS/uvHIQ39BIumx0Bc9IZQyoT7psnM21KniTBipjgLJ/3XvDKH782qJqv5NQXepUGfWCMQC440pGvdEOdKzKGPa64HE6Wip4c6tZFErUkM88fnQcU/E0nr7YSr0RGdgCKsnAWAo+twMDGn0aDAeGwrh2rFuzuswOk1aoqYB61alcppjSuU+jHsePjiNbKOO7L7YmXcplimTO2g3pioz656J2cnb53Hj7VcP4zgtzqv1OIm2utX7aBYyAknRxO8mGrp9qMkPnYmXDAQSl9E8B/DcoF8m9idaeVAe20RQmQD27Mtlmhn09bj/Qj34N6o3IEjLQGmkrfRraI1zr8Us3jmN2NYMnz8dV5RThdNTKs2yEqxFd7ukP4cZdvapZIMaHF7dpq1cg2lVKAMU55ktlfEslCySCDw8o5dnllDptzUgwFvC4FOrNy5dVb4IVQRtgtLVWXRqrjAHAuyrUm41cP6x5snmqiNFgjPU7PXdpFecWW6k3ogIItQoeowYZ0SXrd9pQXWpVIOLKCNdejalB9Th+41iFetPa77SWKcDjdMDnNl/NAdQreGyE624DNq/2O2lQb8QGEK26BIztP6zfSY16I/IAlCmUkGryI0YqY0Ct3+mh0/OqU5JE6FK5JLT1jhKjgS0AvP1q1u+krUsR2WhAbf9R/LqRPfj4jUrS5eXZ1lyuOF/UupdfTmSRL5YN6fJanX6nZLYISgXoUqOCN9VmhGs9jt+o9Ds9ONEa6AhbP0FPy95DKTWczGjX7ySit62H0dZ07hLi8siU0p9SSh+glKbqXjtTmcy0baA2VcRoBgioUG+OjOGRVxexmGzMAgkrIYfVI+2LBh9AQJk6oEW9EXkAaslGV6kN7XUJKBnpC0spPHepkXqznrXOMwfq+Z1NuoylMBDWHuFaj0MjXbhqtEtVl4ms9dFvgGLzMgVW6qocqVwRizojXJtx39FxpPMlfF+FepPIWnc6gLrN2Y3ERrLm3X437rlqCN98fralrF8do2exgtenwTU3GowB9f1OrYcLcbpszVQZ6XlhYP1OT5yLt/Q7ibgtm8kIqFTwDAZjQK3fSa13LJFRmubbZbXbyqlCW2MjXI36TK1+J1F8eK1pa5OxFEI6I1zrUet3mmlJuoijprbavFgqY3o5bWiNA0rQWChRfEul30kZdS5g/YRbK3g8wRjrd/r+y639TsLWj8aEI737aJrxTp2ki4jEEKA+LYrnXMT6nV6YXm25E0Jkcz+goUudEa71YP1OX31GPWi0Sk1lciazReSKtf1tIaGMcOXZy5dV+p1EjGoGGBtH/zZqa1rYpoiqlOom48oI1/E21CCG+44q1JvmkWDCmnCCrMGlNWtu9AFk1JsHJ+arWXIGkRSMtUyhIUrmceAA8I6rhxHwOFsWtCinw2hrzXOZp9qMfWvG8aPjmJhL4FRTFkiU02G0tfoFXa2SGDwAHdnRg739wZaNRpTTARSbN2dXpuL6I1ybcfzoOBLZIh463egcxdHBWmk32UJlhKtBm+v1O4natKMqWT+jvTkMWv1OoipjEY0MaruxifXQ63cS0ZwMqNPWpjh9kVa/U/UwaTGwBdRtPlnpGTMaRB0/Oo6LKv1OCWHU1NZ7AWZXlRGuRnWp1+8kzBepcM0nY2n43c621CAGrX4n4Xt5nZxshKtRXer1O4n065rVHINyvkdjyIwov97lU2hrrftP2nCSQK/fSaQugcZAp1YZM550Uet3yhRKKJSsU1MB7WEJDDKAUIFWBUJvhGsz9vaHcMPO3hZKi7CF4nfB7SQN5aW1TAHLqbzhBxBQJk3ki+UWjrTIsifQyO+cNDDCtR5BrwvvuHoY331prmE8myhdMjlbKxDGM6gA8AvXjsLjdLSMVxNZzQHUnY7RTBVrwDo5tYKZultWRTqdflVdGq+MAcCte6IY7fHj203ZSeGZqlRrMGZUl4CSBYqt5/BUEw1QlM3VaGsX4yn0tBnhWg/W7/RtlecSsK7L6rS1OpvniiXMrWa4bM76nb73cuNBTcR4VKBGW6vnxF/krIbW9zvVH9TE+qLWCp5RagMD63dqzu6LpKYCjRW8dvcBqOG+G5RRw/Vjz8tlKuRSMUC9gqfo0ngwdt14D64YCG3YXt4XbvXrbIQrry6T2SJ+/FojDVDkXp4plJDO1wLwyVj7Ea71iIa8uOPKgQ3TJSGk5Y4fdrtzuwEe9WBJl++81MG9nHP9OB0E7z2i9DvVJ4BFn4tkBYIT0ZAHqXypoYlm0sDUoGZcP96D80vrDdkVoQsl2HhrKW82DQAODXfB43Lg/FLjvRXiIu3W7ORkPN12hGszrt/Ri1S+hIW6f6/IhdJ8g+V6rojYunFqEKBkH/f0BzdQl60VCN4MEKA8lwBwYal2kZN4XbY2UfNshg4HwXXjPThfJyOT0+0k8FuYDw/UTVtLturSCIeb4fodTJcbZ/Nm2pqRqSctco73YCqeaqiUbKTNp5czKFNwbdp7+kPo9rsbnksmp5hsdOvN3lNxZYRrxAA1iOH6HT3Il8oNAbgoairQWoFgI1yNVpwApd/pwFB443SpUsHj6RljuH5HLwA0rPNkTgwfXpGz9ZJQo42qDIQQXD/egwuxpjUuqIIX8LjgdzstVZYB4LqKL2r1mdbvzQHqbJ6sT2C1H+HajOt39GIxmWughIkaLsPkrNflQlIZ4coTgA93+zHc5VPdy0U9l0DruajdCNdmXL+jF2Va27uYjIA4v651YTEgAwhVqDWy8WaAAGCs149sodxSJQAERYeVq8YZzGSAHA6CsR4/ZlYyDa+LaMIB9HTJF4yN9SqLama5ddMW4XSab7DkzQYwjPW26lJYBlVlQotyu3P7Ea4NMlZoePVyis5a1NPWMvkS5hNZrmoOoOhydiXTMCWMHYCs8uGr09bUKmMcNo8GPfC5HQ26LJSUOxFEVvAaM1V8lTEAGOsNoEzRcCnWRmaqzOhSkdPfcDAHBGb9WKa3yWfuMjA1qFlGAJjewPVTv8bZCFd+nxlQ9UUig7HmCoSREa6NMlb8ep3NRVGDACXTmy+Vq31otT4N3ucygIVEroGzLoqaClT28npdVhNDxm0e8Cg9MvU2p5QKo1NW959U4zo3s8YBhfLGIJ5N0Hou4gkaAfX1I1yXTT6z3QjXVhnZ+qnTpaDAFpAVCFNonsXNRrjyZIAA5QEEWg9qopxOtKnBxQwFAwBGmzZtkXx4tUvapjgzQIDGQhEZabdUc/gzQEDN6dRnvEQ5HUZba85a8GR5AWAw7IXLQRozqAKdDstUMdra1DJ/lQRQbJ4vlRv4rKICW6DV5pPxtKERrvUghLRsNKIzQEDNF7ERrmZ0CShNwwxVPrzF2etA67SoajVHUAAutALR5DP5ddnq10UfepdTuSptzUxlTJHTj7nVTAP9TZQuPS4HunyuJl0aG+Faj26/GyGva0OTGUDN5pfXlBGuvD6TrZ+51cYAXISMANvL6/bIygjXwbAxalC9nPV+PVsoI18qi/VFFZ/JRriaOZgDwMzyBu7lAs5FLIFVj42s4PEM8GAYVQnARe8/zReE1kMGECpozvpNmn0AI+rGFeV0miPtyVgKwwZHuDbI2XQAEtuE05ipUm53znNnLVhZb8M2mnAjbY23t4BhrNeP9VyxKhuTU4SMjLYWX7eWAXI5HRju8XVs0zZfzWEHtQ1aP00VvEmOqSf1GOv1Y2Z1Yxx4sy6rtzsLSmaEvS7LfHgmZ4Mu4yl0+Vzo4awONgfgIvnwkaAHhNQ27XxRoSHxVnP6Q154nI4N27T7KrQ1dqeM+WpOAMUybbgPQuz68TZW8EzQfJUA3L/hvojtkzwTzOqhVikRvZe3VOkjxka4NsoZaDj0boguKzZnI1xNswmadCmCmgqwak6NtjYZU0a4jnQbpwYxOS+vZVponyJ0GfQqtDW2l1NKTSUzunxudPvdG75+tCADCBU089N4ZtjXY1Tj0CvO6SizhKsLxUQECygLJZ7KV5ujRD6AAY8TPrejTpfsdk0+p+OrTM3YMKcTbD30DoS9CHJOK9GqlAjLVNVxzdN5ZYQr73MJAGM9gQ08ADVmzSdNcKOBDuiyJVOV4s6YA61Z843RZWMyg3ejGer2wUFUdCmA/gcoulxNF6qbLbsPgJdqNtbrR6ZQqlavGB9ehC6dDoJIoFYpmamMcOX1mQ4HqVRtN4Y20JydnIqnEfK6qs+CUaivHzF8eEDxmSwbzajhBLOTAAAgAElEQVRBZvcfVV8kiA8PWN/LtWifwnTZ1ENkJhgDWDKjRvsU6Yuq09YqNp+KmasyqtE+RVFTAeW5rKetTcZT2GFwhGs9mmmfIqmpQGOvxmIyh0yhxJ3MUOTUWD8C9x8tWK9db0OwWduf/OEZ/NUPz2JpPQengxge4coQ9rnRE3C38DvFOR0v8sUy7vrkY1hMZJHIFvG+m3dwf06Vk7iSwb7BcG3WvqCseV/Ii689O4PvvzxfvRdjd1/IlJwb5nQq/Ohf/fufIZEtYjmVx827IyZkrGXNrxrtFu50+kJe/PRCHG/+ix9VM4umAohePx49U7spfSOyFn/4wCnkS2XE1nPoC3kNj3BlGNUIIPb08/97teScWcngrR//MRYTOazniiZ1GcBquoBktoCwzy20obbb74bLQfCZR8/j8z+5UB3bzLtpeyqTUjaymgMAd//VY4iv57GWKeDd141wf059pSQa8gq7t6AqZ8iL7710GY+dWcJioqJLE8+Tmi8SxoevrJ/f+NJJpHJFxFN5XD3abSoYAxRfdNPuiFA+PKDY/JFXF3H7X/wIC4kcimVqev387MIyKKUghGyIL/rYd0/jT749gdh6DkGP8RGuDKq0z0yB+0ygJ2c8lcMdFV+UzBVx55WD3J8z1utHvqj43IEun1Bd+txOhH0ufPGpSdz/9CUsJs2tHzXap6h7c4CaL3rPp57AcoV+ftchc7oEFNrneCQglKYIKDZ/+JVF/NyfP4IF5otMnovqhyUkskWB1FT9dSIDCBX43E780tFxzK1lMNTlw2CXD9eN93BTgwD1jYZtklbxpn19uGVPBN1+N964N4qBLh/eff2oCRlrm/a+wXDdAUjM4/FLR8fx1IU4hrp8GOjyYW9/EPsHzSyUAJ6frs01T1RGEorAtWM9eNMVfQrvtGJzsw4cqB16q7oUsJgB5ZbmbKGEgS4fhrq8GOsN4K0HB0zIGcBiModsoQSf21l1jiEBco70+HHP4SFki6WqzW/Zwx+M1ZoCGzdtUTa/89AAJubWEA158Ob9ykzt+46Oc39Ovc2vHHbXbTTWdUkIwa/cshPnl9YxEPZhqNuLq0a6TWVnx3oDLbxjUbq8ZU8Ut+6JIuxz4U1X+DAQ9uKd15oJIGqb9rXjPUIPQIAytvrhVxcUv97tw65oENeN9ZiS86GJ2h0lInV5aKQLt+3vh9tBKuvch7cc7Of+HEb7nK7YnPHhRfn1d1w9gvh6Hv1hL+680oeRHj/ecc0w9+eM9fqRrNA+ewKeOp8p5h6Id147gkSmgMEuL4a6fDi6K8IdjDHa5/RyY9+LKJu/5WA/nplcRiTowc/t68dQtw/vPWJ+L59eSTcEEKJs/r6bdmBiLoGBii4PDIUxzEkNUuRspH2K1OWNuyJ4w94ogl4X3tDlxWDYh7ddbea5bKw6idble4+M4vsvX66eN3ZEAqb2ybHeAB47E6sG4IlMASFB1NSBsA+HR7owpfF+xwIIQsg9AP4agBPA5yml/6vp/Z0AvgCgH8AygF+hlM5U3vszAO+o/OjHKKVf2Wh5/+wXrxHyOWM9AZyrGwWWyBTQPSJmoVw53IUvf+BWy58z3sRJFL1p/84d+/A7d+yz/DnjET++//JlFEtluJwOoSXkaMiLf/71my1/TrffjXBdU6DIcjygzKe+94Yxy58zHmFNgRns6Q8pfHifi2sChBbcTgc+86s3WP4coDEAF8mHB4A37O3DG/b2Wf6c+o3myuEuoRUIAPiTdx0W8jljvX789ELtvoq1TAGDBue3t8Pe/hDu/8Atlj+nueok2hf9xm178Bu37bH8OWO9gSrtM+BxCa3mdPnc+NJ/vMny5zTTPkXr8h3XDJsKGJpRH4CzAMLlIAhwjPnWgsNB8L9/+XrLnwOo0z5F6fKGnRF85T9Z38vrdXnDTvE2/4O3Xynkc8Z6/XhherX6/VqmgN4AH0VP+7MD+JffsO6LmmmfonX5a7fuwq/dusvy59TTPtnFvaJkHOr24Xsf+jmQ31V/vyM9EIQQJ4BPAXgbgEMAfpkQcqjpx/4SwJcopdcA+CiA/7fyu+8AcATAdQBuBvARQkhXJ+QWAcZPY30KIo0rCn0hLzwux4YtFFGoNgVWSqciD5OiQAhpmGoluuwpCs3ZlUS2aDsZgcYG//W8OD68SDQ3BdrX5n7MVxofAXvavNYUaH9dAqg2rNrRFwGNAXj1tmybydk8LIHRrERQU0WiXpfFUhkpgdRUUWgOwO27fmq0T8Ce56Jm2qedz0VAY6DTKRk71UR9E4BzlNILlNI8gC8D+IWmnzkE4JHK//+o7v1DAB6jlBYppSkALwG4pwMyC8F4JFC9C6JgU6fjcDROwrDvQmm8C8KOTgdoPPTaXpeb4HR4MBap3QUhslFVJKJBD/xuZ4MufW4HvC7rGVSRGIs0NgXa1ebjka3gi5o3bXHNySIxHglUqSJ21eX4Jh6AeDAeqdE+WYOuCJqiSAQ8SrN986GXt/9so8Fszu6CsKvNxyL238vHI5u3l3cqgBgFMF33/UzltXq8COC9lf9/D4AwISRaef0eQkiAENIH4C0A+InKm4Qqp3c5LZQbLRpjvYHqjHi7Op0av9PmTqfXXxm3SW3rdAa7fHA5SIPN7SYjoNg8XypjMZkTTg0ShdooSrvrslYpyRZKyBfLttMlwKgiNt+0VapOdpMRqIyiXM2iWCrbNgDv8rtaaJ+2fC57a7RP0dRUkRhtSmCJoqaKRO1cpCSH7Lx+WMJS9EAHUWDTPjdjL7fTGNePAHgzIeR5AG8GMAugRCl9CMD3ATwJ4H4ATwFoudmCEPIBQshJQsjJpaWl5rc3DfWZKjs7nYZSt02dzkiPwteeWUnb3umk8iWspgu2dTpOB8FIj9/2Wb/6Q69dy/EAWip4dpRxXM0X2VDOetqnSD68SKjRPu2pyxrt0642V6N92k1GQGMvt6WcjXu5XWUEFL++ni+ibENqKqDYnNE+7Wrz5mmf2zGAmEVj1WCs8loVlNI5Sul7KaXXA/jDymurlf/+KaX0OkrpXQAIgDPNf4BS+llK6VFK6dH+fv6JFRuFek6iXR9AQFnQy6k8UpVpGHaU0etyYrBLGb1pd6cDbA2b2z1rPr5l1k/A9ofJWlNg2ua69FdpnyJHNYuEw0EwVgnAi6Uy1nP26ycBGmmf9ra5/dfP2JbxRXW0T5vqMlJH+7RrZQxQdMlon3alpgKbl8DqVADxDIB9hJDdhBAPgH8H4Nv1P0AI6SOEMHn+AMpEJhBCnBUqEwgh1wC4BsBDHZLbMkJeF3or0aG9nU6Nk2hXpwOwjSZte6cD1A5q0umYx2hPrcHS7hW8tUwBiWwBaxl7HibdTgeGu/2Ytv0BqEJVrBx67SgjoCSHplfStuXDA420T7tSU4FW2qcdbV5P+7T7+qmnfdpRxnrap12pqUDrXm5HXQI12menqakdCSAopUUAvw3gBIBXAHyVUjpBCPkoIeRdlR+7HcBrhJAzAAYB/GnldTeAnxBCTgP4LJTxrsVOyC0KLLtib6ezNRbKeOXQa2enMx5prEDYV5cBLCVzWEsXbMuH93uclaZAu6+fis2XM0IvixQNRhWxdQAeacz02lWXLX7dhoFtPe3Trnx4oEb7XEkXbDkdDGikfdp5/9kqezlLYNmZmtpM+7SjjECNTbDaYb/esZQJpfT7UHoZ6l/7f+r+/2sAvqbye1kok5i2LMZ6/TizkLQtHx5oLc/uG+C/6K0TGOsN4DsvXcZyKg/Ank6n2+9G2OeyvwOvHNQmLq8BsKcugVpTYCTogdNBELQZHx7YWpv2U+fjtg7GWFMgO1z0CJoPLxqM9nl5Tani2VGX9bTPcpnaUkagFoC/Op9AydZyKge1g0NhAPa0eTPt044yAorNn7u0amtf1Ez7tKOMQI32eSGm3Dm23ShMr2uwSLvT0SEP+kNeeCtNgXZfKKUyxZmFJAB76hJozE7aWUYAOD2XAGBnXfobHLjd+PBALYCYiqdty4cHak2BsXXlLhU7ylnfFGjv9aPY3P7rJyB1KQhjdRVwu1JTm2mfdtblWqZQHeVqxwoeo30qNre3Xwc6v35kANEBjPUGkCuWcSGWsq3TqZ+EYW+noyyUCbZQbOh0gPqNxs5Op1KB2AKb9uyqEoDbVUbWFHj6sv11SSnw6rwSgNuxGgo0HtS6bNhbAKj4oi2gS7vKON6kS/s+lwrtczGRta0uGe3z/FIKOZtSU4Gts35G66hWttVlZHP2chlAdADjVeOu2XaRAIoTP7e4bls+PFB/6LU37YZlze3sdAbCPridxPa6HO8NoFCiOLuYtK0uCSEYj/i3hC4BZf2EvfbkwwOKnKxB2ba6jDT6Irs+m+O9AVxey2I5lbetLrsDCu3T9uunYvPTlxO2lRFQDudbRZcTc2u2paYCyvrZOonVztpcBhAdADPu+aUUumw4AYNhrNeP80spAPbdDId7fCBE0aWdnc5YbwCpfAnziaxtbc6aAu1ucxY0KuvHntloQLF5VZc2tXmDLm1qb0CRcyqetjUfntE+t4LNS2WKqeW0bWUEmtaPzatOci+3jkZdumxJTQUqlzEmsljPFW1rczbts9M2lwFEB8CaAu28GQLKgi6VKQD7Zi28LicGwz6UytT2TgfYCjb3297mbKPZUrq0KbVuuNsHp4Mo68fWurS/L2K0z1KZwutywOe2bzIDqKwfmz6XwFbxRVvFr9t//fQG3Ah4nFtAlwrtE7CvLoFGm3cq0SYDiA4g6HUhElQmidj7AfRX/9/OcrLSp61lrGzawNaR067Z/a3yXG4FOV1OB4a6lNGedry3gGEr6BKoHc7tLeNW0aX95WS0T8C+MgJbQ5fsLgjAvjICtTUO2F1ORZchrwsuZ2eO9jKA6BC2xkKxv9MBtsamPbpldNl5p8MLn9uJvpAXgN11ubU2GnvLWBfY2lpO++uS0T4Bu+tSsbnTQRDy2jO4ZbRPwO663Cr7j2JzqUvr2AxfZM8TwzYEM669F8rWOgDZWZfdfnc1o29vXdo/GAO2xkFt62w09rf5VgvA7Swjo30C9paz6tdtTE0FtobNt9pebmcZGe0TsC81FdicYEwGEB3CVti0+0IeeF3KI2FnObeC0wHqbG5rp2P/YAzYGjZn9vbYmA8PbA1dsqZAwN5ybgW/DmwNm28FGQFgrMf+Nq9PZtiVmgpsDZs30j7tK2dNl52ztwwgOoStsFDqOYn2djr2d+DA1rB5TZf2tTewNWzOmgLtLCOwNZ5LYGvYfOvo0v5ybgV7A1tDl4z2aWdqKiBtLhKboUv7PlnbDFvhAQSUh9D+Tmfr6BKwt5wDYS/cTmJrGYGtYXMWgNtZRmBrPJeAYnM78+GBrVTBs7/Nu/3KXRC21+UWGOIBYIv4oq2iS/uvn9FN0KV9PfM2w+GRbvSFvDg4HN5sUXRxy54oymxmmU0x0uPHnv4grhrt3mxRdHHT7l488uoCegOezRZFEw4Hwa17+3DNWM9mi6KLG3b2oi/kwZ7+0GaLootb90Sxnittthi6ODgUxmCXF4dGujZbFF3cvDuCpWTO1nz4/pAXB4fCtvdFN+6OYPR5Pwa7vJstii7euLcPVwzYe41fN96LaNCDfYP2lvPWvVFciqc3Wwxd7OkPYbTHb39ftCeC05cTtqamhrwuXL+jB1d30BcRavPDohkcPXqUnjx5crPFkJCQkJCQkJCQkNiyIIQ8Syk92vy6fXkqEhISEhISEhISEhK2gwwgJCQkJCQkJCQkJCQMQwYQEhISEhISEhISEhKGIQMICQkJCQkJCQkJCQnD2JZN1ISQNQBnN1sOA+gDENtsIQygG8DaZgvRBlKX4iB1KQ5Sl2KxFfQpdSkOUpdisRX0KXUpDqJ0uZNS2t/84nYd4/oVSukHNluIdiCEnFTrbLcbCCGftbs+pS7FQepSHKQuxWIr6FPqUhykLsViK+hT6lIcNlqX25XC9J3NFmCbQepTHKQuxUHqUhykLsVB6lIcpC7FQupTHF73utyWAQSl9HVvWJGQ+hQHqUtxkLoUB6lLcZC6FAepS7GQ+hQHqcttGkBsIXx2swXYRpC6FAepS3GQuhQLqU9xkLoUB6lLcZC6FIcN1eW2bKKWkJCQkJCQkJCQkNgYyAqEhISEhISEhISEhIRhyABCQkJCQkJCQkJCQsIwZAAhISEhISEhISEhIWEYMoCQkJCQkJCQkJCQkDAMGUBISEhISEhISEhISBiGDCAkJCQkJCQkJCQkJAxDBhASEhISEhISEhISEoYhAwgJCQkJCQkJCQkJCcNwbbYAG4G+vj66a9euzRZDQkJCQkJCQkJCYsvi2WefjVFK+5tf35YBxK5du3Dy5MnNFkNCQkJCQkJCQkJiy4IQMqX2uqQwSUhISEhISEhISEgYhgwgJCQkJCQkJCQkJCQMQwYQEsJBKcW5xeRmiyEhISEhISEhIbEBkAGEhHD87OIy7vzEY3htXgYREhISEhISEhLbDTKAkBCOS/E0AGA+kd1kSSQkJCQkJCQkJERDBhASwhFL5QAAyWxhkyWRkJCQkJCQkJAQDRlASAhHLJkHACSzxU2WREJCQkJCQkJCQjRkACEhHLF1WYGQkJCQkJCQkNiukAGEhHDUAghZgZCQkJCQkJCQ2G6QAYSEcMTXJYVJQkJCQkJCQmK7QgYQEsLBKhAJSWGSkJCQkJCQkNh2kAGEhFAUS2Usp2UFQkJCQkJCQkJiu0IGEBJCsZIugFLl/xMZWYGQkJCQkJCQkNhukAGEhFAw+hIgKxASEhISEhISEtsRMoCQEAoWQIz2+JHMyQqEhISEhISEhMR2gwwgJISCTWDa3ReUFQgJCQkJCQkJiW0IGUBICAWrQLAAgrKGCAkJCQkJCQkJiW0BGUBICMXSeg4epwMjPX6UyhSZQmmzRZKQkJCQkJCQkBCITQ8gCCFfIIQsEkJOabx/kBDyFCEkRwj5SKflk+BDLJlHX8iDsM8FQDZSG8Xzl1aQzktdSUhISEhISNgfmx5AAPhHAPfovL8M4EMA/rIj0khYQjyVQzTkrQsgZCN1Oywms7j300/i/qenN1sUCQkJCQkJCYm22PQAglL6GJQgQev9RUrpMwDkSXQLILaeQ1/Igy6fGwCQkBWItpiYS6BMgal4arNFkZCQkJCQkJBoi00PICS2FxQKk1dSmDhwei4BAJhbzWyyJBISEhISEhIS7bFtAghCyAcIIScJISeXlpY2W5zXJSiliKdy6At7Ea5UICSFqT1YADG7mt1kSSQkJCQkJCQk2mPbBBCU0s9SSo9SSo/29/dvtjivSyQyRRRKFNGgbKLmwenLsgIhISEhISEhsXWwbQIIic3HUuUOiP6wbKI2ivVcERdjKYR9LqxlCljPyYBLwji+8dyM7J2RkJCQ2EZ48lwML0yvbrYYbbHpAQQh5H4ATwE4QAiZIYS8nxDyQULIByvvDxFCZgB8GMD/XfmZrs2UWUId7BK5vpAXQY8LhMgKRDu8Wqk+vOXAAADgsqxCSBhEtlDCh7/6Iv7DPzwjA3UJCQmJbYI/eOBl/PG3JzZbjLbY9ACCUvrLlNJhSqmbUjpGKf17SulnKKWfqbw/X3m9i1LaU/n/xGbLLdGK+HoeABANeeBwEIS8LhlAtAGjL911aBAAMMsRQCwksnjzX/wI5xaTGyKbhL2xlFQC9ouxFH7/6y/LW98lJCQktjgy+RIuLadxem4NWZtfxLvpAYTE9kF9BQIAunxuJGRmVBen5xLoDbhxZGcvAGCOo5H6helVTMXTmJiT8fTrEYwy+MYrovjey5fxxScnN1cgCQkJCQlLOLe4DkqBQoni1OzaZoujCxlASAhDbD0HBwF6Ax4AQNgnKxDtMDGXwKGRLgyGvXA6CFcjNeO+r6ZlkPZ6RKxSgfi9ew7ijoMD+NPvv7IleLMSEhISEuo4s1BjFDx3aWUTJWkPGUBICENsPY9I0AOngwBgAYQ83GqhUCrjtYUkDo90w+V0YKjLxxVATMbTAIC1jNTx6xGsAjHY5cPHj1+LgbAP//UrL2yyVBISEhISZnFmMQm3k2C0x4/npuydEJIBhIQwKLdQe6vfh31uWYHQwYWlFPLFMg4NKzMBRnp8XD0QrAIhA4jXJ5aSORACRIIe9AQ8+NVbd+JiLCVpgxISOpC9QhJ2xtmFdezpC+Horl48d2nF1s+rDCAkhKE1gJAUJj1MzCn8xkMjLIDwY26NowIRkxWI1zOWkjlEAh64nYobH+3xA5D3iUhIaOEzj57HW/7yx5hfk5d2StgTZxaS2DcYwpEdvVhM5riSip2GDCAkhCG+nkdfyFP9PuxzyWyoDk7PJeB1ObCnLwhACSDm17IoldtnHHLFUjXY2K49EH954jX87pefR0rejaGKpWQO/eFawD4iAwgJCV38+LVFTMbT+A//8LTcmyRsh3S+iJmVDPYPhnFkhzJY5blL9qUxyQBCQhhi6zlEVShMdi7BbSZOX07g4FAYrkoGeaTHj0KJVqdZ6WF6OQOm1sQ2rUB8+8U5fOuFOfzy535qSCevNyw1VfzGepUAYnZFBhASEs2glGJiLoGrR7txbnEd//mfn0W+WN5ssSQkqji3uA4A2D8YwsHhMHxuB56bsm8jtQwgJIQgnS8inS+1UJhKZYqMzWcZbwYopTh9OVGlLwHAaI8PgLG7ICZjSv/DQNi7LSlMhVIZs6sZ3LQ7gjMLSdz76Ser/2YJBc0ViP6QF24nwSzHKGAJidcLppczSGaLeN/NO/Bn916DJ87F8Xtff0kmuCRsgzMLSgCxbzAMt9OBa8Z68LyNJzHJAKJDWE3n8YkfnMFqOr/ZomwIYknl39VIYXIDkLdRM8TWc0jnFV3MrWWxmi7g0Eh39X0eCspkpYH6mrEerGa23zN1eVWhcv3ikTH8y2/cgkSmgPd++knEZSUCgBKAxtYbAwiHg2C427+lKEyUUpQNUPYkJKziVKXn7PBIF+69YQwfObYfDzw/i3/+2aVNlkxCQsHZhSQ8Tgd2RgIAgCM7ejExl7DthXIygOgALsXTeO+nn8TfPHwWj7y6uNnibAhiqcZL5ACgy+cCADnKFUCpTHHnJx7FDR/7IX77X57DlyqXfrEJTABfADEVTyPsc2F3X2BbViCmlpUAaUc0gCM7evGp9x3Bcipvaz5oJ7GeKyJbKKO/br0B/JO8NhufefQCrvqTE/jod05vqcBHYuvh1OwaXA6C/YNhAMBvveUK3LQrgr95+CwyeXse0CReXzizkMSe/mCV1nxkRw+KZYqXbXqhnGuzBdjueHF6Fe//4jMolJQs28w25SezS60aAwilApGQFQhcXstgNV3A9Tt68MS5GFbSBTgIcHAoXP2ZLp8bYa/L0G3Uk/EUdvcF0e13I1soI1cswetybuQ/oaOYqtxxsTOqZGIOjyqVmvNL67gLg5sml12wVFlv9RUIABjtCeDJ87HNEIkbs6sZ/PXDZzAQ9uFLT03iS09N4l3XjeDAYBjFMkWpTHFwKIxjh4c2W1SJbYCJuQT2DYbhcyt+khCCj9x9AMf/7in8008n8YHb9m6yhBKvd5xZWMcNO3ur3x+p/P9zUyu4cVdks8TShAwgNhBPnovh/V88iWjIgy9/4Ca873M/xfRyerPF2hDE1isUpnDjFCZAUpgA4FLF7v/92AHcuDuCJ87FUChRBL2NS3Ckx28ogzwVT+Pa8R50V279XssUMBDePgHEpeU0PC4HBsNKX0i3342+kBfnK01mr3doBxA+LCSyKJTK1fGudsX/+rdXAQD3f+AWAMDnf3IBX356Gt94brbh5/7p/Tfh5/b1d1w+ie0DSilOza7hrQcHGl6/aXcEt+3vx6d/fB7vu3knQl55JJLYHKRyRcyuZvDvbhyvvtYX8mJHJGDbG6ktrxZCyIf13qeUfsLq39iq+Nsfn0ck6MEDv/lG9Ie9GOv1b9sKBOOmR4JqPRDbj2LDCxY4jkcCcDsduP3AgOrPjfS0v406XyxjZiWNX7huBN1+Rcdr6QIGKodtkTi3uI7BLm/Vlp3CVDyF8V4/HJVbzQFgb38QF2QjNYDaLdQtAUSvH2UKzK9lMV7h0doRz0wu4zsvzuFDd+yr3l/xx+88jD9425UolstwOgiKJYp3/Z/H8X997SU8+F9uqz7rEhK8WEjkEE/lcdVod8t7/+2u/fiFTz2BLzx+ER+6Y98mSCchAZxdrDVQ1+PIjh48cT4OSikIIWq/umkQkaIKt/l6XYJShbd22/6+6iY/HglgZnW7ViBy6PK5Gmg0sgJRw6XlNFwOguFu/UP+SE/7JtjZ1QzKFNgZDdYCiA3og6CU4t5PP1nNFHcSU/E0dkaDDa/tHQjh3OK6nJqCWgWir6UHojLK1cb9BOUyxUe/cxrD3T588M17Gt7zuBwIeBQ/EvS68PHj12ExmcNHv3N6k6SV2A44NVtroG7GteM9OHZoEJ977MK2HXIiYX+cWUgCUEa41uPIzl4sJXN4acZ+fRCWAwhK6f/U+xIh5FbEzEoGa5lCQ8ZjrNePudUsiqXtN3s6tp5HX1M2NKzSRJ3KFfGN52Zed5NXLi1nMNrrrzZHaWGkx4+VdKE6rUkNbALTrmgAPRsYQKymC1jLFPDDVxY6eminlGJ6OY0dTRn0vf0hrGUKWE7JTX4pmYPLQar2Z9C6jfr/+9kUfvfLz3dMPj187bkZvDy7ht9/20EEPPpF8OvGe/Cbt+/F15+bwUMT8x2SUGK7YWIuAUKAK4dbAwgA+PCx/VjPF/F3j13osGQSncSFpXV85F9ftOUlgmcXkvC4HC2Js5+/ZgRDXT789v3PYc1ml8YKI8kSQnyEkN8ihPwtIeQL7EvU5281sK75qxsCiABKZYr5xPab0760nkNfsDGACHpcIKSxAvHA87P48FdfxGNnlzot4qbikpGl3gMAACAASURBVMqBWA21A6D2MzJVofFsdAWC3XS9kMhhYi4h/PO1EE/lkcqXqg3UDHv7Fcd6fknSmGKVS+TqKV6A9iSvbz0/h++8OGeLcYCf/MEZHNnRg3ddO2Lo53/nrftwaLgL/+OBl+UYXwlTODW3hj19wZaeM4aD/z975x3X1nm2/+tooYUkhNhiDzNsbAPee8V24jQ7aYaTNk2bpHnbpEnza/smbd/uNG0606xmtdlx9nQS770AgzGYvbcASYC29Pz+ODoCgSY6Akz8/Xz0sQ3SkQxHOs/93Pd1XfEybM2Px64zHZc6nHOYD8o78U5pB3710ezraNb1jiAzRgruhM90pUSAf91ahB6dCT96++ys2nxlU2X3CoB4AFsBHASgBjDM4vEvKs516sDnUpg3zmUnOYpeEM1FHUSv3oS4CeM5HA4FaQTPrYCo7aFPiffL3YWSc532QUNAM+mBWLm2DBggEXChkgpcBYQ2DDsT3eOKmP3TaD880YGJITOGbu029l8SUk8MkWMQ8rmIlgjcRpjsDoKqLh0cZCzpdKbQm6zo1pmwtSA+4HleAY+DJ25cCM2IBW+cuuTZf4ngOd+p86h/GM/yDCU0I2b06i8VqXOV0rYhcCjg3bIOfH6ue6Zfjhv1vcOTxpcYilOj8PMd+dh3oQ//2t8wza/MO2wWEFmEkJ8DGCWE/AfAFQCWsXj8i4qqTh1y4iLdNAHqKHpxONecmAgh6NGZEC+bvKCRCflu7cJa55zfF+d7MGL+emgjhk302E0gHYhEZxq17wJiFGkqCSiKgiyMHYhuZwciSSHC/trpKyDamAyICT+vJIUIETzOJScm0B0/TwUEQAupx6dRN/WPwOD0ub/QM7N7OkxRyhTKgZKXIEOhWj5nc3R8oRkxo2947nWtp4uBETO6dCaP+ofxLFArAACVHZeyZuYiNrsDZ9u0uGlJChaq5fjZ++fQO0umQYZNVnTpTK6MEk/sXJ6Kqxcl4i976nCobnZMcLBZQDArGC1FUfMByAF4tpqZ4zAC6gUTdjwSFEJQ1NzrQOiMVphtDsTLJy8KIoVjHQhCCOp6h5EbHwmT1YHdVV+Pmeb2Qfr3zXSgfBEnE4JD+S4gWgcMSHPOSXI5FCKFvDCNMJnA41C4rliN8nbttGkPWgcMoCh65G88HA6FdNUlJybA2YGQei4gEuUidA6NbVKMF98xQr2ZghmLYwrlYNgwL3Zaz8PZwj2vlOKmZ0/MSe3cdMCMX85P9N2ByE+QgUONCa4vMbeo7R3GqMWO5RlK/OWmRTBZ7Xj4ncpZMbLmcmCK9dyBAOjckt9fuwBp0RI88VXddL00n7BZQDxHUVQUgJ8D+AhANYDHWTz+RUPHEB0aNrFlGsHjIl4mnHMFRLeOruLjZZMXBXQBQS9u+4fN0BqsuGlJMlKUYrxf3jGtr3OmYDIgAulA8LkcxMmEbjvI47HZHWgfNLiN98hF/PB0ILRGxMmE2JwXC0KAg3XTs/vbNmhAvEzoCnwaT2asdFaPMPXpTS6HpHDhcBBoRiw+OxBdWpPrwniuUwexgIu8BNms6UAkeNhs8MfG3Ok9D2cD3TojzrQOoVkzik9n2cjFxQJTQBT4KSBEAi5y4iJReamAmJOUtdGdpaKUKGTGSPHI5Xk4VNePN0+3z/ArGxvtzo333SUTC3i4ZWkKKtq1Mz6OCrBYQBBCnieEDBFCDhJCMgghsYSQZ9g6/sVElQcBNYM6SoT2obk1wsSIwuPlkxc0kUK+qwPBjC/Ni4/E1YuTcKxxAD262dFCDCftQRQQAJAg954F0aU1weYgrg4EEL4CoktnQqJCiPmJcqikEdh3YXrapm0D3gXnmTFStA8aZoUYeDyjZhv+/EUtVj++H/e9XhbW5xoyWGB3EKikAo/fT1SIYLTaMeTUxVR2aDE/UY68hEjU9kyfGN4T3TojOBQQ66X48cWCpOk9D2cDXzi7tPEyIZ7c1zCrBJQXC1VdOiQrRZCL/eeIzE+So6pTNyt2pWeKmm49WgfmXpe3rHXIlccFALctT8WCJDleO9k6w6+MLiDEAq7rtfniqsWJ4FDAe2UzvwHLpgvTLzzd2Dr+xcS5Th14HHcBNYM6SozOOdaB6HUWAXFeOxDOAsJZZc+Li8Q1i5NACPDh2bkvpm4bNEAm5AV0AQPoBaC3IpOxcJ2WDoTOiAQ5Hea2fl4MDtb2TcsYReuEDst4MmMkcJAxofVMY3cQfFDeiU1PHMST+xsgE/LCPiY0FiLneQxovJWrze7A+S49FqjlmBcXiV69eUa97judXS1/dsaemO7zcDbweVUPcuKk+N8r8lDfN4IvLlnZBs35Tp3f8SWGQrUcmhGLq6v+dcNosePW50/izpdPwz7HitXS1iEUp0S5zBsoisKVCxNQ1alH2wxfT2q69ZgXHznJVc8TsZFCrM2JwfvlnTP+O2JzhGl03M0OYDuANBaPf9Fwzimg9jSCkRwlQrfOCOscugD26E2gKHhMQh4/wlTXOwyVVIBoaQTSVRIsTlF8LdyY2gYNSPGyIPZESWoUOoaMHmdxmZ2hNNVYB0IhZr+AcDhoYXyCc1Z9Y24s9Cabqw0cLgwWG/qHzZO8sBlmixPTwIgZ/9rfgLWP78cDb52FKlKAd+5Zge+tzXDlZ4QLZkTK6wjTuDC5+r4RmG0OFKrlrg2N2hkcY+rWmoIWUI9nus7D2YBmxIzTLYPYVhCPKxYkIF0lwT/3NXytd8eDpWPIgJYBg18HJgbmfue+pmNM75R1YHDUgsb+UXxS2TXTL4c1+oZNaBs0oDg1yu3r2+cnAAA+q5q58UBCCGqd2tBAua5IjW6dCccbB8L4yvzD5gjTE+NuvwOwHkCGn4fNOQghqPIgoGZQR4nhIO4WmRc7PToToiUREPAmn07MCBP9Jhlxcxm4dnESLvQMo3oaMwZmAk+haL64pkgNIZ+DV09Mbq22DBgg5HPcRkDkIj7rNq6aUTOsdoJE56z66mwVeBwq7C44jF7Em+VtBpMFMYPzn7vOtGPFH/bhT1/UIkUpxtO3FuHD+1ajJE3p+j2H02lNM+KngHC2wTuHjDjXMTZOyczX1s6gkJruagUvoGaYrvNwNvBVdS8cBNg2PwFcDoXvr89Edbf+a/F/Z4vnDzeDz6VwbVFSQPfPT5CBy6Fc75uvE3YHwfOHm7BQLUdufCT+vqd+znT6ylqd+ocJBUSyUoxCtXxGLV3prrDVr/5hPFvy4xAp5OHdGR5jYrMDMREx6CyIrxWdWiOGDFbMV3spIJT0xb1jDukgevQmj/oHgO5A2BwEBovd6XM8VkBcUZgIPpfCRxVzZ6djInYHQceQMaAMCAa5iI9vLEzEh2e73CxwLTYH9tb0Ijde5uahLxPxoTdaWd2ZHBO70os9mZCPJWnKsOdBMK3kVC8/L7GAh0S5cEadmF492YbUaDG++tFavPG95di+IMEV/pOipAuccI5Y+etARIn5EPI56NIaUdmpRWQED2nREsTJIiAT8vwKqcM1Z08IQbcutA7EdJ2Hs4HPq3qQohQjL4H+zLx6cRLUUaKQuxCEENz+4im8OcczNQZGzHjzdBuuXpQUsGhfyOciO1b6texAfHm+B60DBty9LhMPbM5Gk2Z0zlyby9qGIOByMD9p8iL98gUJqOjQzZi9fo1TlxZMB0LI52JHYSJ2V82sHT6bGohzFEVVOm/nAdQC+Btbx79YYMZO5nvxnL6YwuQ0I2asfXw/SlsHfd6PzoDwvKsYKaTn/mu69TBY7G66EKVEgMwYKRr65m7eYK/eBIvdEVQHAqAFXkarHe+XjY14/fd4C1oGDLh/c7bbfeUiPix2B0xW9naLul12m2MX3tXZKtT2DkMXhtA6BqYD4U0DAbDnxEQICVqMbbE5UNOlx4bcWGR78OxmRtVaB8NX4PQPmyHicyERTB6RBOjZ3iSFCJ1augMxP0kODocCRVHIjZehzkcB0dQ/grxf7EZZ2xDrr3tw1AKzzRFSBwKgx5hqe4fdwvIuBjQj5oC7rTqjFccaNNg+fyxwj8/l4J51mTjbrkVFCDvkHUNGHKrrx/NHmuf0ONR/jrXAbHPg7nXBDUIUquU4N4uF1M2a0aBHoLUGC+5+5QxavGy8EELw7KEmpCjF2FoQj8vy45GXIMM/9s6NLkRp6xAWqOVuuVwM2+fHA8CM2coH6sA0keuLk2C02me0e8JmB2IHgCudt8sAJBJCnmTx+BcF5zp14HIo5CV4Phni5bTP/8XgxLTvQh/aBg34qtr3bl+v3oR4L4sCmZAHADjTSi9IJgalJCpoy8m5gslqdxM2BWPhOp5CtQKFajlePdEKQggGRy34+956rMuJwYZ57vEqChHtxqM1sieO7ZrQgQBo8TsANPSHr+BrHaAF5wqxZ4chgNZBNPaNhHyB/9ueeqz+4/6gLpC1PcOw2B1eRxSlETxESwRh3c3qHzZDFSnwmeScqBChZcCAmu5hFI7rhs6Lj0Rt77DXn92RBg3MNofL/YdNukKwcB3Phlz6/N93oQ86oxUfVXThVx+fd412zVb+8NkFXPv00YBe596aXtgcBFudixuGLflxAIDyEAq8U830hlBD30hI42xag2XWuuiNmG34z/FWXJYfh6zYwHd2ATpQbnDUgq5Z+H+r6dZj0xMH8OKR5qAed6hegy/O9+L/Pj7v8ftnWodwtl2Lu9akg8uhwOFQeGBzNloGDPjg7MXdhTDb7DjXqZukf2BIjZagIFE2YzbJF7r1SJALAzZZYShKiUK6SoJdpR0z5koYcgFBUZSSoiglgOFxNyMAmfPrXyvOdeqRHSv1KKAG6F2kBLnoouhAMGmHvi5WJqddpPcOhLOAaGEKCPeglAS50LXbHW46tUasemwfKtrDI8AkhGD73w/jd5/WuL421QICAG5blor6vhGcah7EX7+qg8Fix6NX5E26nzwMadTdOiMieBwoJWML+SxnyE04/adpBybPAmqGzBgJRi129OqnvmDUGix4/nATNCNmtAfxXqxwptQudKbWeiIlWhzeEaYR7yFyDOooEWq69XSxM66AyImPxLDJ5nVxVOYs9A/Xa9h7wU66xiWbh0JmjAQpSjH+/EUtin/zFX74RjleOtqCz2Z5TkJp6yBMVgdeOup/8be7qgfxMiEWTTjP4mRCxEZGhDSjf7plEBIBF1wOhY+nMKLicBC8eqIVax/fj+uePjYrd+rfPNUGndGKe9ZlBv1YZnPg3CxMpH7iy1o4CD3eFgzMNfxAbT/2107eEHz2YBOixHzcUJzs+tpl+XEoSJTh73vrcKp58KLtRJzv0sNic6AoxXMBAdBjTGfbtTPS1bzQM+zRsdMfFEXh+mI1TjUPIu8Xu7HqsX249fkTeOv09I0mstGBKAVwxvlnP4A6APXOv5eycPyLBn8CagZ1lGjWayDsDoIjDfQi4lynzqtdGBMF78nCFRgbYSprG0KSQuT6N0OiQoQhgxVGC3sVtLcZ7ndLO9CpNeKr6l7Wnms8/cNmNGtG8fqpVteYT/ugARwKU5r7vnJhImRCHh7bfQGvnWzFbctSPI7NuAoIFkeLunQmJMiFbrvcyUoxBDxOWAuItoFRv8UWG05MLx9rwajznAvGdvVchw5RYj6Sld5/n6nKMBcQw2av+geGxHG7/IVJY4tQZs7W2xhTWZsWFAVUd+tZD8Trdl6cE6aQQj0eiqJw+4pUJMiFuGtNBt69dwWUEgHOd85eM4bBUQtaBgwQ8Dj477FWN23TRIZNVhys68e2+fEebR0L1fKQws5OtwxiWUY0VmZG4+OK7qAKgPNdOlz79DE8+kEVxAIeOrVGNM+QHsnbNclss+Pfh5uwIiMai30sGr2RGx8JHoeadTqIsrYh7KnpQ5JChLPtWvTpA++QlLdpsThFgQyVBL/9pNptBOpU8yD21PRi54o0iMaNRVIUhZ9tz0Ovzowbnz2O4t/uwQ/eKJ9xB7xgYTZFilK9b/pcvoB2Y5rucSCr3YHG/pGgx5cY7lmXiX/evBj3b8rGkrQojJrtrBuq+CLkAoIQkk4IyQCwB8CVhBAVISQa9EjTl6Ee/2KiU2vE4KjFbcfPE+ooMdoHZ3cH4lynDlqDFRvmxcBgsXtdZDEtbO8jTPTidnDU4rHKTnQuJrpY6kIMjlqw8NdfTsqXIIT26wfoechwUN1NL2BMVgfeOkPvArQNGpCoEIE/Bd97kYCL64rVKG/TIlLIxwObczzeTyEOQwdCa5w0asLlUMhQScJWQNjsDnQMGf1a3maEWECMmG146WgLVmVFAwDqgyggKjq0WKBW+BwfSlGK0a0zwmILz45dIAUE48QkF7kXO8wIoSchdf+wGW2DBuwoTAQAHGtktwvRrTNBwOMgWuJ9PC1Q7lqTgd0PrMVPt+eiOFWJgkQZqrpm14JvPGfb6c+cn2zLxbDZ5tFhDaDfAw+8eRZWuwNXL/bsHFSoVqCxf2RK4smBETMa+0exJE2JKwsT0TZoCHihfLplEFf/6yg6hgz4202L8OpdywCMjURNJx9VdKH4t1/hrIdu8qsn2tCrN+Pe9cF3HwBaoJoTF4nKaXRicjiI33yWP39RC5VUgCdvWQwA2FMTmJGA2WZHdZceS9OVeOSKPDT2j+KV4/T5t7uqGztfOIm0aDG+vTJt0mNXZ6tw5ueb8dStRdiSH4d9Nb347SfVwf3ngqC+d9g1+cAWpa1DSFaKPNrMM6SrJMhLkAXd2QmVpv5RWO0kKAH1eLgcClcuTMQDm3Pwt28uxgf3rcLdU+i6TRU2NRDLCSGfMf8ghHwOYCWLx5/1MN7ki5N973okK0XoHTbBbJtdabrjOVTXD4oC/mcjLdj19EENjKVQexNGMiNMwGT9A/24sdArNjhc349hkw1PTnAqOdepQ5NmFCppBM62a8PSjmUKiPlJMvznWCvsDkJnQExhfInhtuWp4HMp/PiyHER5WXgxHQgtqyNMJo87xZmxUjSEaQeqW0enbHtzYGKIk0VAIuCiqX9qO5+vnWiFzmjFw1tzkaQQoa43sP+P0WJHfd8IFvrZIEiJpsPuwtEOt9odGDJYESP1vYvPdLwK1XK3Ykcu4iNBLvSYSM0Ip3cuT4VCzGd9jMlTV4stChLlqOsdDlvRFirlbVpwORRuXpqMdTkxeOFw86SuKyEEP/+wCnsv9OFXV83HomTPO6YL1HIQQgekBctp5yjp0vQobC2IB58b2BhTt86Ie18tgzpKjK9+tA5XL05CZowEKqlgRgqI98s6oDVYcdd/TrvpjXZXdeN3n1Zj/bwYrMlWTfn4herpTaR++mAjVj22z2sX+WiDBscaB3DfhiwsSlYgRSnGV9WBLXbPd9GjjIuTo7AxNxZrslX42546/HNvPe59rQwFiTK89/1VXq8vMiEfly9IwJ9vWIirFyfhVPNgWHKsunVGfPO5E7jjpVM44GHMaipY7Q4cbxrAkjT/0/Tb58ejtHUIA9OopbrAODAlTK2AmGnYLCC6KIp6lKKoNOftEQAXt/omSMpahyDkc/yeDOooMcgsz4I4VNeP+YlyFKUooBDzcdZLcFOPjxRqwL2AmBcvnfR9Zh6arZ/FEeeip75vBAfH7WS8X94JAZeDH23JhtFqR003+0Lgmu5hJClE+J8N2ejUGrGnpjfoDIiJZMZIceaRLdi5Is3rfWTOAkLPUgFhszvQqze5jcEwZMVI0TFkDItoi3GjYDoM3qAoaspOTCarHf8+3IzVWSosSlYgO04a8AjT+S56lK/Qh/4BGNO7MKF/bDIwQu9S+u1AON9XnsYpaSH15J9dWdsQ+FwKhWo5VmWpcLi+n9UFVJc2tAwIXxQkymC1k7CngE+V8jYtcuMjIRbwcN+GLAyMWvD2mXa3+/xjbwPeONWO/9mQhZ3LU70ea0EIYWenWwYRweNgfpIccjEf63Ji8Ellt0/rXrPNjnteLYPRYsNzO4tdC02KorAkTYmTQRYQNrsjpARdk9WO400D2DAvBhabA99++TR0BiuO1GvwwzfOYlGyAk/dWhRSoTo/SY4hg5VVraLRYvf4njJZ7XjxSDNGLXYcqJu8cCaE4E9f1CJRLsQty1JAURS25MfhaMNAQF2ocmZjM4XunP5iRz5GLXY88VUdLsuPw+vfXe6mdfPFykwVRi121se7zDY77n21DCarHZkxUvzwjXJWPj+P1GugNVhxuTMwzhfLM+iOdPk0hlRe6BkGj0MhQ+X7mjdbYbOAuBlADID3nbdY59e+NpS3DaFQrfA7rqJ2jhfMVicmvcmK8nYt1uaoQFEUFiUrUN7ueeynR2+CRMCdpG1gkAh4YD7HPXUg4mRCUBQ7I0yE0LqNzXlxiJNF4PnDtFjRZnfg44oubMqLdTkY+bOmnQrVXTrkJciwOS8WSQoRnjrQCM2IJagMCE/4c2eIjKB/xmyNMPUNm+EgnmfVs2KlICQ8SdAnmwcg4HHcXIO8ka6STKkD8faZdmhGzLhvQxYA+pxs0owG1JFirDP9dSAYC9pwODH5y4BgUEeJ8OCWHNy8NGXS9+bFR6Kxb2TSLmJ5qxYFiXII+VysyVKhV29mdVytW2sMKQPCF0yC8GwMpbQ7CM620zPoALA0XYklaVF49mAjTjQN4NUTrfjJO5X46546XFekxkOXeR5VZFBJI5CkEE1pxOZMyyAWJitcdpZXLkxEt86EUi9GGYQQ/OKD86ho1+KJGxdO0mAtTVeiU2sMStN372tl+NFbZ4N+7Qwnm2kx+u0r0vDszhK0Dozi9hdP4nuvnEFGjAQvfWspxAKe/wP5gDFJYLO78uqJVux84RT2Thg9+uhsFwZGLeBzqUnfA+hRpbPtWty/Odv1e9uSHweL3RHQuE+5U3/IbPJlx0Xil1fm48EtOXjq1mKvhi+eWJ5B7+SznYD8m0+qcbZdiz/fsBAv3rEEFEXh7ldKYbCElnHwUUUX5CI+1ubE+L1voVoOHofy+l4IBxe69ciKlXoM4b0YYDOJepAQcj8hZLHzdj8hxO+7j6KoFymK6qMoqsrL9ymKov5BUVSDM2OiiK3XzCYmqx3nu/Q+lf4MzIJytjoxHWsYgN1BsDabftMtSlagvm8Ewx6Ef716E+J87CpyOBSkETxwqDHx63gEPA5U0oigR5j6hk2Tds0a+0fRrTNhQ24MvrUyHUcaNKjp1uNIgwaaEQuuWpSERIUIiXKhy1aWLYwWO5o1o8hPiASPy8HtK1Jdbk+hdCACgcOhIBfxWSsgXBkQnjoQYXRiOtE0iMXJioAuaOkqCbp0wXVCCCF49mATilOjXBfC7FgpLDaHyy3LF5UdWsTLhIj10m1jiI2MQASPExYhdf8I3alTSX3vGFIUhR9uyvZYvM6Li4TF7nDzhLfYHKjo0Lo+v1Y7xz8OsTTGZHcQ9A6bPZ5TbJCqFEMawWNNB9GpNeIPn9ewsgvK6BXGj7Z+f30WunQmfPO5E3j0gyp8XNmFaxYn4bHrFgS0c74gSR70LvCo2YaqLj2Wjhvn2JwXByGf43WM6YOznXjrDN0V2eZhF3dpOn2s0y2BLbSNFjsO1vajMgSHo4O1/RDwOFieEY0VmdF4/PpCVHTooJJG4L93Lg3aDtMTBYkyqKNEeK+cvaTfw05Tkt99VuMatSOE4MWjzciNj8TVi5JwoLZvUmH/0tFmJClEuK5oLJe3JDUKCjE/IEOQ8jYtFqW4d01vX5GGH27KdgVgBkq0NALz4iJxoom9AuKd0g68eqINd6/LwPYFCUiJFuOfNy9GXe8wHn6ncspdUKPFji/P92D7/PiAFuhCPhcFiTKX6Ho6qO0ZnrL+YTbAho3r35x/fkxR1EcTbwEc4mUA23x8fzuAbOftewCeDvU1h4NznTrYHARFKb7HGwAgXiYEj0PNWiemQ/X9kAi4rtj3RckKEAKP1oE9zrlmX8iEfKSpJF4XhokKEbqD8Nz+8GwnVvxhH/62t97t60edH9BrsmJwy9IUiAVcPH+4GR+Ud0Im5GFDLl0QFaVGsf4hUds7DAcB8p0BgjctSYaQT7+9wl1AAPRsO1vuCy6/fg8diHSVBBwKaGS5gNAZrTjfpXO1kf2RrpKAkOASn+v7RtCpNeKmkmTXIo3pigWig6js0Pk1SADoxXuKUozWGexA+IJx/BhfRNd062G2OVxe6eooMTJUEhypZ0fQ2Ddsgt1BQnZg8gaHQyEvIRLnWepA/Objajx7sAmb/3IQv/64GkOjU89YYSw0F4+7NqyfF4NnbivCf+5ciqM/3Yiq/9uKv960KGCzhQVqOZo1o0FtGpS3aWF3ECxJHysgJBE8bMyNxWfnuj124d442Y6cOCl+tMVzVyQ3XoZIIQ+nmgP7PD3TOgiL3YFOrXHKY0wH6vqwPCPa5Rh0zWI1Xr9rGd65Z4Xf4j5QOBzaIvNY4wAr12mLzYHTzYPIS5ChWTOK/x5vAQAcbRjAhZ5hfGd1OjblxUFvsrkszwGgbcCAY40DuGlJMnjjzg0el4ONubHYd2FywTGevmETOrVGLPaip5kKKzKjcbplkBUN58CIGY+8fw4rMqLx8GXzXF9fmxODh7fm4tPKbnxxfmquiftr+zBqsePKhYkBP6YoNQoVHdqwaDwmojNY0aUzYd4UHZhmA2x0IF5x/vlnAE94uPmEEHIIgK/ti6sA/JfQnACgoCjK/0DbNDNmFea/A8HlUEhUzM4sCEIIDtX1Y0WmynUxY8R85R6E1D06k1f9A0NqtBhLUr2LmBLlwoAFp++UduCBt86CAvDK8Ra3HejD9RqkKMVIiRZDLubjxpJkfFTRiS/O9+KKwkRX+7ckNQpdOhNrwm2AXoABcAUIKsQCXLNYDYqavgKC7Q6Ep8AvIZ+LZKWYdSH1mZZBOAgCLiCYmdFmTeCv45izwFyROfYcTEfFnxOTzmhFs2bU7/gSQ2q0OCwjTAfr+hHB44RYYgp7FwAAIABJREFUQESiIFGGpw40uHZCGQH1eKvD1dkqnGhiZ6HAFKXh6kAAtJC6plsf0nw9QG+U7D7fg2+tTMP1xWq8fKwZ6/60H/suTG0hU9aqhVzER7pqLN+Eoihsm5+AdTkxSFKIPNq1+oIZ8wtGSH2qZRAcCpM2ua4sTIRmxDJJy6AZMeNM6yC2z0/wulPN5dA6iFPNge1IH3OOvljtxGUBHgztgwY09Y9i/YSRlJVZKtaKB4britQgBHivrNP/nf1Q3jYEo9WOH23OxrqcGPx9bz0GRsx44UgTVNIIfGNRItZkqyDgcrC3Zuw821XaDooCri9WTzrmZflx0BmtPrs/Z136h+DtbL2xIjMaJqsDFe2hd/v21/bDbHPgkSvy3AokAPjumnQoxHx8eX5qzkgfne2CShoR8DUFoMPZTFaH63oeTpgQx4tVQA2wY+Na6vzzIHMDUAlgyPn3UEkCMF5t1uH82qyirG0IKUoxVH4CnhhSlGKvu56H6/sDbgmzTbNmFB1DRqzLGXOwUIgFyFBJJomLHA6CvmGz1xA5hhe/tQS/uXq+1+8nKkTo1pr8tirfONWGh9+pwKpMFZ67vRhDBis+cqZkWu0OnGgawKqssdd956p02BwERqsd14yzRCx2FjNs2rnWdOshjeAhOWqsWPjp9ly8/O2lXt0t2ITNAqJLS+taZELPc8RZMVLWR5hONNH6h8UBdPAAID2GXow1BeFBf7xpAOookdtYjySCB3WUCPV+/j9VzoWaPwE1Q4pSgrZBA6si5AO1ffjsXA/u25DlKoanAodD4f9ty0X7oBGvn6TtHMvatEiQC92KxtVZKhitdpS1hi4q7GIpA8IXBYkyGJyjhKHw5y9rESXm46HLcvCHawvx+f1rESsT4lcfV0+pOClvH3IJWNmCEVIHkwdxpoXeAZ+oV9uQGwuJgDtpjGlvTS8cBNha4J6GPZGl6Uo09o8GlLB9rHHANU4ylQKbcedZP8//THuoJCvFWJkZjXdKO3yKzAPhaOMAOBSwLCMaj16RB4PFjgffrsD+2n7sXJ6KCB4XkggeVmRGY09NLwghsDsI3intwNrsGI/aoTXZMRDw6PGzqk4dDtT2YXdVt9umWnm7FnwuhYJE9na5l6dHg6LYsXned6EXcbIIj6+Px+Vgw7xY7K/tC/p9pzdZsa+2DzsKvRe/nmA6sNMxxuRyYPo6jzAxUBR1gKIoJn26DMC/KYr6C1vHD+D5v0dR1BmKos7097PrI+wPQgjK2rQBjS8xrJ8Xg5puvdscMkC3On/wRjm+/1rZjMSTM6KsiaKjRckKnG3Xui2INKNm2BzEawYEg5DP9TmDmCAXwmi1+1wA76nuxc/eO4d1OTF4/o4SbJgXi3lxkXj5WAsIIaho12LEbHOz7kuJFmNHYSIyVBKUjOsM5SVEQsTnslpAVHfpkRsf6baTKBfRLifTAdsdiASFyOuCJytWihaNgVUr3GD0DwAgjeAhNjICzQEKqR0OgpPNg1jhYTcqO9a/ExOTQB2IwBsAUpQiGCx2aEamPvoyHqPFjp9/WIWMGAnuXpcR8vHWZquwIiMa/9zXgBGzDWWtQ5P0W8szo8HlUDjSEPrnqUtXEyYRNUB3IADaLWuqnG4ZxMG6ftyzLtO10J4XH4kHt+SgdcAQsHUmg95kRX3fiF9r72BRiAVIUYoDTqS22h0ob9N6tLMU8rm4rCAen1f1uNngfnm+F+ooEfL87JC6dBB+BMd6kxXnOrTY5ixIptKBP1Dbj2SlyK2bE05uKFGjbdCAUyFu6B1r0GCBWgG5iI/suEjsXJ6Kg3W0luPW5WNGB5vzYtEyYEBj/ygO1fejW2fCTUuSPR5TEsHDmiwV3jjVjh3/PIJvvXQa97xahod2Vbiu0+VtQ8hPkAUllPaHXMxHQaIsZCG1xebAoToNNubGeb3WbMyNxZDB6hoDDJQvz/fCYnMENb4E0J9PCXIhSsPsxDRqtuFE0wDkIr7fDdjZDJvSbzkhRA/gWtAjR8sAbGbhuJ0Axr+D1M6vuUEIeY4QUkIIKYmJmZ5FG0PHkBH9w+aAxpcYriikp7A+qXTf9dlf2wetwYr+YTPeOt3u6aFh5WTzINRRIqRGu39AL0pRQDNidhs16tXRO06hvgGYRYWvMaZD9f2IFPLw7E7aNYKiKHx7VRqqu/U43TKEIw0aUBSwMtN9gfjnGwrx0Q9Wuy3seVwOFiUrWCsgHA6CCz3DLv3DTMBuAeFb15IZK4XF7kD7uAVAbc8w/vB5DZ74shb/3FuPF440B5yMHaz+gSFdJQm4A1HTo4fWYHUbX2LIiYtEU79vJ6bKdh1So8VQiAPrJjHvn7ZBdqxc/7mvHu2DRvzu6gUhdR8YKIrC/9s2DwOjFvz+sxp0ao2TPr9kQj6KU6PwTmkHBkPQAAB0V0sawXMFS4aD7DgpBFzOlHUQhBD8aXctYiMjcPsE2+StBfFIVorwb6ezW6BUtutACALurAXDArUclZ2BLXSqOnUwWu2uxf5ErlyYAJ3R6tKRjZptONygwWX58X47J/MT5RDxuX7tXE820WOK1xfTo53BuhCabXYcaxzA+pzYsGSJeGJbQQIiI3jYdWbqYupRsw1n27VYNe6z5/5N2VBKBLihWO02tbAxLw4A3f15+3Q7lBIBNju/5olfXlmA310zH8/cVox3712B+zdl49PKbrx4tAU2uwOVHTpWx5cYVmREo7xNG9Im56nmQYyYbdiUG+v1PmtzYsDjUNh7IbhciI8rupCkEAW1qctQlMK+RhKgNQ/PH27Crc+fwKJff4nPzvVgSZpy2s7lcMBmAcFzahNuBPAJi8f9CMDtTjem5QB0hJDpzRv3g2t+OIg3aoJchKVpSnxc4f5fea+sAyppBEpSo/D0gcZpD5ur7NB5DDBivjY+UI7ZVfTXgfBHYgBZEEyewvjF01WLkqAQ8/HysWYcqddgQZJ80gIvgseFNGLyKE5xahSqu/Uh28QB9IVwxGxz6R9mAqaAYGNkpkvrOQOCwZMT06MfnMNzh5rw5P4GPPFVHX7zSTVePek5bXciweofGDJiJAGPqzC7ZZ4KiGynK5Ev0XNlhzbg8SVgzGmNDSemut5hPHeoCdcVqT2+/qmyOCUK2wri8fpJOjXd08X2FzvyMTRqxY93VYQ0xtGtC18GBAOfy8G8+MgpdyAO1WtwqmUQP9iY5RLoMnA5FO5anYHS1qGgLKDL24ZAUZjkgsMGhUlytA8aAxJ4MyOxJWmer1Grs2IgF/FdY0yH6vphsTlwWYH3xSsDM3roz/L0WKMGETwOlmUoERcpRPtgcB2I0820jmA6xpcYRAIudixMwOdV3RidQvI3QC+UbQ7iNl4bJRFg/0Pr8csrC9zum6QQIS9BhvfLO7GnphfXLE7y2b1PiRbj1mWp2DY/HsWpSjywORtbC+Lw+89q8NrJNhgs9rAUryszVbDYHSFtwu290IsIHsft5zIRuYiPJWlKN12IPwZGzDjSoMGVCxOntDgvSo1Cp9boyrgKFc2IGX/cfQGr/rgPv/20BpphC+5clY43vrscT982K01FA4bNAuLXAL4A0EgIOU1RVAaAej+PAUVRbwA4DmAeRVEdFEV9h6KoeyiKusd5l88ANAFoAPBvAN9n8TWzQnmbFmIBN+hZtisXJqC2d9gVoDU0asG+C324elEi7t+cjR69KaSdj2AZcHYYPI1p5MbLIOBx3HQQjAgu5A6Ec2HhKwuiY8joys9gEAm4+OaSFOyu6kF5uxarfXwQTaQ4Lcrlzx4qjOAqfwYLCIWYD7uDYNQSWsFpttmhGTH7nFWfWECcbdfidMsQHrk8D02/vxz1v9uOrFgpzgTY9j/RNAABN3D9A0O6SoLBUQu0Bv8LqOONA0hXSTwKw3PifAupu7RGdOlMAQuoATptnqIQkD2sL3QGKx5+pxJSIQ+PXJEX0rE88eOt88Ch6EUgMwI0nvlJcjy6Iw/7LvTh+SNNU34eOtk8fONLDAWJMpzv0k+pkP7X/gaoo0S4acnk7AyAHmeRi/j496HAuxDl7VpkxUjD0nlhHMECsXM93TKEtGgxYiM9v68FPA62FcTjy+pemKx2fFndiygx32300xdL05Wo6dH77IIeb6QTgSN4XCQrRUF3IA7U9kHA5bBaRAfC9cVqGCx2fHpuavuWRxo0EPA4rvl6BrmY77E42JwXiws9w7DaCW4s8Ty+5A2KovCnGxYiRSnGLz86DwCsj88BwJJ0JbgcaspjTIQQ7K3pw8rM6EnF+kQ25cWirnckYM3MsUbahn77fN/aHW8wGyllLORBfHi2E6v/uA/PHGzE+nkx+Pz+NfjiR2vxs8vzsCIzOmDXtdkKmzkQuwghhYSQe53/biKEXBfA424mhCQQQviEEDUh5AVCyDOEkGec3yeEkPsIIZmEkAWEkDNsvWa2KGsbokNIgjwZti9IAIcaG2P6pLILVjvBtUVqrM5SYXGKAk8faHSbSw0nzIVoQdLkhZyAx8GCJDlONA24Ls49ehN4HArRAQrHvaGSRoDPpVxOLRMhhKBjyOgmUGbYuYJObLU7iMu7PhCKktkTS1V36cGh6FnpmULuTKMOZDHtC2YszVcHQibkIzYywlVAPH+4CZERPNy0hLZH5XM5KEmNQmnrUEC71ieaBrEoJXD9A0O6y4nJdxfCZnfgVPOg1w7HmBOTZyH1++X0xKSvUYKJRPC4SJAJ0RZCB6K2Zxjf+NcRVHfp8IdrFgScFhsMWbFS3Ls+E9f62OncuTwV2wri8fju2ilfVLu0RtdGQTgpSJJDa7AG7OrGQAhBVacOW/LjvP4cxAIebluegi+qeyZp17wds7xtKCw7wMBYeN6X1T14r6wDj+++gF9+WDVprMThIDjTMuhR/zCeKxcmYsRsw1fVvdhb04tNeXEBX9OWpitBCLDfy6iJZsSMCz3DWJlFvweTo8ToDFIDcai+H0vTlSGHxAVLUUoUMlQSl2FHsBxt0KAkNSrgz7dNzs+ZhcmKKV1TZEI+nrmtGCI+F9ESAZKV7Bfu0ggeFiTJpyykbuwfRdugwfV/9QVzn30BjjHV942EdD0uSJRDwON4XRsQQvD0gcaAMmJePNIMdZQYex5chydvKZrRKYVwwKaIOoeiqL1MIBxFUYUURT3K1vFnKyarHdUBBshNRCWNwKosFT6u6AIhBO+UdSI3PhL5iTI6CGpjNjq1RrzPYpiNLxhB3vwkzyf51YuTcL5Ljz3OtMwenRmxkRFBh9FMhMOhEC8XukaiJjIwaoHRap/UgQDolu+2+fGQCLiTdnh8IRfzkRMnxekWFgqI7mFkxEhZFaoFC1NAhKqDcFm4+nHLyYqVoqF/BB1DBnxe1YObl6W4ubsUp0ZBb7L5tXudqv4BoEeYAP8FxPkuPYbNNq87l2IB7cRU58GJyeEgeOt0O5ZnKJEWpHAzOYQsiE8ru3HNU0dhsNjx5veWY/uC8DlXP7w1F49dV+j1+xRF4Y/XFyJeLsQPXi/HSJCjHHRXyxJWATUD4+YSrA6if9gMg8XuV5x7x4o08DkcvHDEfxeipnsYQwYrSnxYWIeCTMhHZowEr55ow4NvV+Dpg434z/FWHJyQTtzYP4Ihg9Ut/8ETyzOUUEkFeOzzC9CbbLgsP/CCeUmaEvkJMvz6k2r0ebBnZXaqV2bSmzzqKBG6dcaA/fbNNjsa+kbCVoz5gqIolKRFuWw3g4EpnHyN6UykMEmOHYUJeGBTdtDPxzAvPhIv3FGC310TWDDhVFiZGY3KDt2URruYkaSNPvQPDOkqCTJUEuwJcIypsW8EyUrxlK/HAh4HC9Vyr4nUB2r78cfdF/B/zg6PN0xWO6q79dicF+cxRHcuwGb/5N8AfgbACgCEkEoA32Tx+LOSyg4mQG5qbcIrCxPRMmDAh2e7UNGudUubXD8vBguS5PjX/kaPAs+abj0eeLOcNZ1EZacOGTGSSTZ/DN9ckoyMGAn+8HkNrHaH3xTqYEiQi7zmMjCtS7WHDgQA/P6aBXj3+yuDFpeuzFThRNNAyDqImm79jO8syFgrIJwhcn78+rNipWjsG8FLR1tAAfjWyjS375c4dzvP+CnQxvQPwS+ykqPE4HIovwXEcWdqqq/nyImL9DjCdKJpAG2DBnzTy1iLL1KjxVMaYXrpaDPue70MufGR+OQHq122wzOJXMTHY9cWolNrxOG64FyZelznVPg7EHnxMnCo4PIRAKDF2SmaaB4xkViZEFcvTsSu0nYMm3y/15hF0vrc8M3sP3lLEZ65rQh7HlyL87/aCmkEz2V1ysA4CPnrQPC4HFy+IAGdWiOEfA7WZAf+uvlcDv5x8yIYLDY85EEvc6xxAJERPMx3FnhqpRgOgoCzeNoHDXCQsU2D6SZNJUH/sDnoxfJY4RT4BgmHQ+HJW4qwIYDFtS9WZqmwbYpjPIGwLCMaNgeZUldy74U+5CXIAt5U2JQXi5NNgwFtXjT0jSArxAV7UUoUqjp1HkXizx5qBEBnWPgagT7fpYfVTmak6J0u2CwgxISQUxO+FrpCdRbw2blufP+10kniPJPVjo8q6PGGqZ4kWwviwedS+PkHVeBQwFWLxmzHKIrCfRuy0DZocO36j+epA4344GwXTgeYAuqPcx06FCZ5n/Pmczn46bZcNPWP4s3T7ejWGVmzIEtSiLyOMDF2f8leAtkUYoErXTcYthbEw2xz4GDt1G0qdc5xiZnUPwCAQkSPt+hDLCAqO3SI4HH8tr2zYqUYMdvwyolWXFGYMOlCkBYtRrREgDN+BKeM/mEqBbiAx0FylAhNfqxcjzcOICtW6nX+G6AdfDw5Mb11ph0yIW9KF+LUaIlzZzvwj8GPKrrwq4+rcVl+HN743nK/IY3TydJ0JSJ4HLcE60BwhchNQwdCJOAiM0aKqiA7EC3OcYR0PwUEQKfMm6wO7PXwmTyePRf6sDBZ4fO8C5W8BBm2zU9AVmwkxAIe1mSrsP9Cv5sG5EzLEFTSCKRF+w+0ZGwv12bH+J1Nn0hWbCQevSIfh+s1ePGoe4fmeKMGyzKUrpEoZhw1UCF1o/M9zgRITjdpzvMiWFOEY40aRAp5rtyOuURRigIcyr9970S0BgtKW4d8ui9NZGNuHCx2B47U+x6ZsjsImjWjyIwNsYBIjYLVTiat+So7tDjRNIj7N2VDIebj73vqvB6DKS7YTAGfbbBZQGgoisoEQACAoqjrAcwqt6SpMmSw4HCdBlf84wi+8/JpHGvU4F/7G7D6j/vx6ok2bMmPm7IOQC7mY212DIbNNqzJjpmUprk5LxZxsgi8ebrN7etagwVfOBMaj7IQ6NKnN6FHb8ICP04zW/LjsDRdib99VYdunSlkByaGBLkQPXqTx8AYRmznaYQpFJakRSFKzHf9HKdCtSuBembDYORiRgMRWgFxtEHjEjr6gtnhsdgc+O6aybkEFEWh2KmD8P18A1PSPzD4s3K12h043eI5/2E8ObGTnZh0Bis+r+rB1YuTpvT6mII30C7E0QYNHnr7LJamKfGPmxezYtfKJnRrP3j7Y0aPMB0dCIB28zraoAlKD9Q6MAoeh0JiAEF3i5OjEC8T4jMfotq+YRMq2rXYHOIucrBsyI1Fj96Emu6xbtqp5kEsTY8KaJSlOCUKNy9NxnfXTi1r5NZlKdiSH4fHd9fii/M92HWmHb/8sAotAwbX+BIA1wZFoEJqpsuYPkMdiFRn8dUSwNw7QM/Jv36yDR+e7cKqTFXQ+siLgUghH/mJsqAzMg7W9cPuINiYF/h7oyQtCpFCnl83pvZBAyx2BysdCAD4str9+Z49ROv97lqTju+uyfDZhShvG0KSQsR6Qvpsgs2z+j4AzwLIpSiqE8ADAO7x/ZCLg1uXpeLITzfioS05KG0bwi3/Pok/fVGL/EQZXrtrGZ7bWRzS8b/h7Dpc5yGunsfl4KaSZBys60fHuA/bjyq6YLE5ECeLcHl3B8rQqMVDZU3/25/TDEVReOTyPAyMWmCw2FnrQCQoRLA7CPqHJ6eZdgwZoZQIIPFgxxoKPC4HW/LjsPdC35SF6kzAmCcHm+mEDQ1E/7AZtb1jQkdfMMLj5RlKl5hzIiVpUWgdMHj8nTLPV92tDylsL10lRYtm1KtYu7JDC4PF7neEICeOLgAZRzQA+OBsJyw2h9cgJ38wrmwVATh9VXXqcPcrpchQSfHvO0pmVE/ji6LUKJzv8tza9wQhBK+dbEVsZITXEUS2uXlpCsw2B94pDVw71jJgQLJSHNBCj8OhsG1+PA7U9Xsdqdjn7E5sDkJHwAbrne+l/c4xpi6tEZ1ao9/xJQYOh8Ifri0M+P4ToSgKf7yuEAoxH3e/UoqH36nEW2faUZIa5dbFi5cJweVQbtc0XzT1j0AljQhrjogvmNG2QAqI9kEDdr5wCv/7/jksSlbgF1fmh/vlzRhL0pQob9MGfP3s0Znw+O5aJMqFWBiELTbfmUq9p6bXp26GMfYItQMRExmBbyxMxLMHm/DhWXrKpG3AgM/PdeOW5bTe746VaT67EGfbtR4t8ecSbLowNRFCNgOIAZALYB2A1Wwdf6aRi/j4waZsHP3JRvzlxoX47Idr8N87l2JVlipkkdKOwkQ8f3sJdngRSt7oXMC8Pc7S9e0z7chPkOHmpSk416kLOLRrcNSC6545hqv/ddTN57iyUwcOhYDC0BYmK/ANZ6ubrQ5EksK7lWv7oIH17gPD1oJ4DJtsrjn5YDnWOIDsWCliIkNzogoViYALLocKqYBgHDUCscONiYzADzdl4+c7vF8cmdl9b775h+udqedBzFpPJD1GAqPVjt5hz+Nv75Z1gsuhsMxPByIrVgq5iI+fvXcO75Z2gBCCN061YUGSfMrFYXasFLGRETjsp+1ustpx9yulkIv4+M+dS13F4GykxNnaD6QoAuiNjvI2LX68dZ5PP3s2yU+UoShFgddPtgVs59o6MOraZQ6EKwoTYLE5vO6I7qnpQ5JCFLS1d6jEyoSYnyRzuSGdDlD/wCZKiQCvf3cZnrxlMfY+tA7nf7UN79y70m2EjcflIFEReBZEU/8oMqYpfdoT0ggeVNIItGp8FzzVXXps+9shlLcN4XfXzMdrdy2bltG9mWJpmhJmmwNVAWSv6IxW3PHiKWgNFjx3e0nQ5itXFCZgyGDFMR/WsYxpR1aIBQQAPH59IZalK/HjXRU4Uq/BC0eawOVQuHNVOgD6nPDWhegbNqFjyDin9Q8ACwUERVEyiqJ+RlHUkxRFbQFgAHAH6NyGG0M9/mxDEsHDtUVqVlOHuRwKm/Pj3NKSx6OOEmNNdgx2nWmH3UFQ3aVHVaceN5aosSpLBUKA403+uxCjZhu+/dIpdA4ZYXMQvHKixfW9cx1aZDvnaAPhJ9tzsSZb5RLLhgoj2vUkquv0YuHKBquyVJAIuFMaY7LYHDjdPBiUQC5cUBQFhYgPbQgFxNEGDWRCXkALZoqi8OCWHJ/3nZ9EZ4d4E1IfqutHtETgcs6ZCpnORUWzBx1ETbceb55qw87lqX4tUEUCLt69dyWyY6V4aFcFrnnqGC70DLuK96lAURRWZ6twrHHAp53ti0eb0ak14okbF7JWkIcLJq3am0PJeExWOx7fXYuCRBmuL5rcXQ0nty1PRZNm1Odig4EQglaNwTXnHgjFKVGIjYzA5+cmf26YrHYcaejHprzpS0wez8Z5sShrG4LWYMHplkFII3jTbvKQFRuJHYWJyIyRel0oJkeJgxphmikBNUNatNhvB+I/x1pAAOx+YC1uXZZ6UacMBwJz/fengzBZ7fjuf8+gSTOCZ3eWeO1a+2JdTgwiI3j4tNK7nW5D3whiIiNY2YQR8rl47vYSZMZIcfcrZ/DWmXZctSjJTZfmrQtx1pmXdakD4Z9XAMwDcA7AdwHsB3ADgGsIIVexcPxLALh5STK6dSYcrOvDrtJ2CLgcXLUoCQvVCogFXBxt8H2htNgcuOfVUlR16fGvW4qwJS8Or59sg8lqByEE5zp1rmCiQEhSiPDKd5YhiaXdFSZ3YGIatcNBPIbIsYWQz8X63Fh8eb7Xo/7CFxUdWhitdqzIDNyiL5wwadRTgRCCow0DWJEZHbItL0MEj4uFarlH0a3DQXC4XoPV2SqvhXMgMDPRE3UQhBD85pNqyER8PLA5MDvErFgp3r57BX59VQHqe4ch4nNdnbapsiZbhcFRi0srM5GBETOe2t+IzXlxU7KynW6UEgEyYiQoDcD++IUjdGH06BX5If2Op8LlCxKgEPPx6gn/aegDoxYMm21BdSA4HArb58djf23fJGeeow0amKyOgDzuw8H63Fg4CD1rfrp5CEWpUay9p9lEHSUKqAOhM1gxMGqZ8QIiNVriU0RtsNjwSWUXrliQ4NXwY64RExmBDJXE1enyBCEED71dgVPNg3jixkVB5TWNR8jnYkt+HHZX9XgdmWrsD92BaTxyER8vf5vuCpusDnxvgjZIGsHDd1alY39tP+rGufidbdeCx6GmVChdTLBRQGQQQr5FCHkWwM0A8gFsJYScZeHYl3CyOT8OKmkE/nu8FR+Ud2JLQRyiJAIIeBwsS1f6FFITQvDjXRU4XK/BY9cuwOb8ONy5Oh1DBis+KO9Et84EzYjFYwL1dCET8SARcCcFQPWPmGGxO6AO4wfy1oJ4aEbMKA/Sju5YwwAoamoWpOFAJuJjaHRqQXJtgwZ0ao1BpXkHQnGq0uPMfHW3HgOjlpDGlwAgLlIIEZ87ycr1y+peHGscwINbcqAQBx7AxuFQuH1FGvY+tB7v37cy5J0sxv/9UL1np69/7K2H0WrHT7fnhvQ800lJahRK29xDAmu69bjt+ZN49mAjenQm9A2b8NT+BlyWHzftycEAvdi4oViNL6t70eshl2A8TCBUMB0IgC5SzDaHS2/AsKemDxIBd8Y+FxaqFVBKBPigvBO1vcM8+LaeAAAbt0lEQVRYEkQ+znSSHCWGZsTsV0/TqKHHUtJnyIGJIS1ajB69CUaL59e7u6oHoxY7rvegZZzLLElT4nSL99DQig4dPj3XjQe35IS8IbNjYQL0JhuONEz+PCWE0BauLIwvjSdeLsTb96zAi98qcWnlxnPr8lRE8Dh4aZzzWHmbFnkJslmrZWMLNgoI15YnIcQOoIMQ4vsT+xJBw+dycH2xGgdq+zFksLpF3K/KUqGpf9RrENvnVT34qKILD23JwQ3Oxy1Lp4N/XjzajEqnEHgmreYoikKCQjTp/zCWARG+OdIN82Ig4HKwuyq4MaajjRrMT5QHtUANJ4uSFTjRNODTm9obR5xC/JUsFxDMzDwj0mdgwq7W5IT2fBwOhTSVBE3jAuvMNjt+92kNcuKkuGVp8PkNAH3RmIo18ERiI4XIjY/0aD/Y1D+C10624ealyaxf9MJJSaoSWoPVrevz5y9qcaJpAH/4/AJWPLYXVz15FBa7Az+7PG/GXucty1JhdxC8eard5/1anHPtwQYFlqQpoZJGuLkxORwE+y70Ym1OzIy5aHE5FNblxGC/057aX4DcTMHs0vsTUjPjiTPdgWDOD2+uarvOdCBFKcbSWfrzDhclaVHQGa2o9xDECQBvnW6HiM/Ft1elhfxcq7NiIBPy8EnFZAe0/mEzhk02ZIbhPFFHibEx13NHUSkR4NqiJLxX1onBUQvsDoLKDu2c1z8A7BQQCymK0jtvwwAKmb9TFBWcGfclfPJN5zx2glzotlPM7HJ6GmMyWGz47SfVyEuQ4d71ma6vUxSFb69KQ13vCJ491AQeh5rxMLREhcgVZMbAzMiGSwMB0HZ0q7Ki8UV1T8CiS6PFjvK2oVmhf2B48LIcxMmEeHhXRcAuOQzHGgYQLxOyLlRk0sEn5kEcru9HXoKMFY/8DJXE1YGwOwie2t+ItkEDfr4jf1bYJ67JVuFMy9Ckncs/7r6ACB4H92/KmaFXNjVcOgjn77SmW4+9F/rww03Z2P/j9fjBxmyIBVz8z4Zsv8nO4SRdJcGabBXeONXmMYiToXVgFFwOFfQ4Jtc5xrTvQp8r66OqS4devXnGxpcY1s+jO3t8LjVr57BdVq5+xpiaNCPgcqiwXgMCIc2HE1P7oAHHmwZwfbF6zuseJsIUTJ7sXA0WGz6u6MLlCxK8BtQGg4DHwdaCeHxZ3TvpGsc4MGXFTr+l+p2r0mG2OfD6yVbU9w1j1GKfte87Ngn56koI4RJCZM5bJCGEN+7vM7sinWOkqSS4Z10mHt46z22mdV5cJKIlAo92rk/ua0CXzoTfXFUwaTF15cJEqKQClLdpkRMXOePttkS5cJKIusN5cQlnBwKgx5jaB40BuzGdaR2E1U5mZDzDGzIhH49dV4j6vhH8fW99wI9zOAiONWpYcRSbSJREgMwYiZuQetRsQ2nrENaG2H1gSFdJ0D5kxL2vlmLxr7/E3/fWY0t+XFBJuuFkdXYMLHYHTjaPnVvHGjX44nwv7lmXOeMOXsGSGSOBQsx3/U6fPtAIiYCLO1akIV0lwYNbcrD3ofW4P0DtSTi5bXkqevQmvFvm3dK1ZcCAJIVoSi5Rly9IgMnqwO0vnMJlfz2IG545Dg5FdzVnknU5MeBQQKF66hkr4Yax9fUnpG7WjCJFKZ42Fy9vpDBZEB5yZ94t6wBFebZin+ukKMWIjYzwKKT+tLIbI2Ybvrl06mYUE9mxMBEjZpuri83ApgNTsGTHRWJtTgz+e7zV9XNYPIVw1IuNmd+eu0RQ/HR7Lq6d4GjC4VBYkUmHJ43fQW/qH8G/Dzfh2sVJHt2ShHwubl2WCgBYmDzzYp8EuQiaEYvbzkL7kAExkRFhvwheUZiA1GgxHnjzLPr8zEwDtH0rj0NNqz1iIKzLicFNJcl49mBjwKNM1d16DBmsWBVA/sNUWJMdgwO1fS5f/uONA7DaCdaxtMAvVMthdxCcbddi2/x4/PPmxfjnzYtZOTYbLE1TQsDjuMaYhk1WPLyrEmnRYtzlIYRvtkNRFIpTaB1E68AoPqnswm3LU11hhrOJLXlxWJqmxO8/u+A1jyRYC9fxLE1Xojg1ClqjFSlKCW5fkYrndpZMOViULRRiAX64KRt3rU6f0dfhixhpBAQ8DjqG/HQgZtjClUEu4kMpEaBlgpDa4SB4p7QDKzOjWTMVuZigKApL0pU43TI4qYP/1ul2ZMRIUMKiDmdlZjSixHx8Uuk+xtTYNwJpBA9xspl57925Kg19w2b8Y18DFGJ+QMnvFzuXCog5wuosFfqGza42HiEE//dxNYQ8Ln56uXeB5m3LUxEtEcyK3dr5SXTD6vg468VwOjCNJ1LIx7M7izFssuH7r5X5DcY51jiARckK1sPt2OCRHXmIkwnx410VMNv8jzIx+Q+rWNY/MPxkWy5WZqrw410VeP1kGw7V90PE56I4jZ2Lypb8OJx5dDOO/XQjHr9+Ia5cmDirdl1FAi6WpEW5dCa//rga3Toj/nLTIogEs+d1BkNxWhSa+kfx2OcXwONy8J1ZulDlcCj8/toFMFrs+PUn1ZO+TwhBs2Y0aAE1A5dD4d17V2LPg+vw/B0leOSK/GkPj/PGA5tzsN1LttBsgMOhnE5M3jsQDgf9+5nJUbjxpEaLXaJ7hpPNg+gYMuKGYvZ22S82lqYp0a0zuRWDDX0jONM6hBtLklntbPO5HGybn4C9Nb1uY6EN/SPIjJXO2AjZupwYZMVK0T9sxqJkxddilO1SATFHYBZ/D79TiTtfPo0bnjmOQ3X9eGBLjs8585jICJx5dDMunwUXmtXZKkQKefh4nM9z+5Bh2hJsc+Nl+OP1hTjTOoTffjp5scGgM1pxrkM7q/QP45EJ+fj9NQvQ0DeCd0s7/d7/SMMAsmKlbv7WbCIScPH8HSXYMC8G//v+ObxT2oHlGUrWRKYURUEljZjVH9irs2JwoWcYr55oxa7SDnx/fRaKLuIWd4kzJPDzqh7cUKxGbJjOHTbIipXivg1Z+LiiyxWwxqA1WKE3BWfhegn2UPvJgujSGWG2OZDBojVnKKR5sHLdVdqOyAgethbEe3nU3IfpxB8b5wa560w7eBwK1xYlsf5831iYCIPFjtdOjtk0N/Sxa+EaLIyuFJj7+Q8MlwqIOUKyUoxtBfHQm6zoGzaBQ1HYuTwVt69I9fvY2bLwiuBxsbUgHl+dpwVSNrsD3VoTkqehA8HwjYWJ+O6adPz3eCve8zI3fap5EA6CWZP/4In182JQqJbj+cNNPkPMAKCqU8dqi9kTQj4Xz+4swdaCOBgsdqzLmfmO13Syxul9/ugHVShIlOGHm2ZeHxAKhWo5+FwKHAq4e22m/wfMMPesz0BWrBSPflDlltvQMkUL10uwQ7KfLIgmpwPTbOpAdOmMrjHbEbMNn5/rwY6FCRdtN5EN5sVHQh0lws/eO4cH3zqLut5hvFvWgY25sawYZUxkeYYS63Ji8Nev6tCjM0FvsqJXb0Zm7MyeJ9cVqXHz0hRcs5j9omk2cqmAmEM8s7MY+x5aj09+sAZv37MCv7l6PvizwIUmGHYUJmDYbMPheg169CbYHGTaOhAMP9mWiwVJcjx3qMnj9481ahDB46AodfbuMlAUhe+tzUCTZhR7anq93m/UbMPgqGVago8EPA6evKUIT91ahJuXTc1e9WIlP0GGaGduy19vWjTjgtBQEfK5+P/t3XuQVvV9x/H3d+/uBdgryMVdlou4CiICJd6QUQloRgzVxFRNOpPGpGMyZlozY2IbUyfWmEm1dWLbWJPWdFLbjMbWtCaKiRYbFEHl6gUBV10EFpDbLstt+faPc571yYLw7O7Z55xnn89rZodnz/Psmd/vy4Gz3/O7fOe3jOKmOY09i0uTrLSokO8tnsqWPV3cv+SjqrGpp8l93cJVojGuppy9XUfYd/DEBTBTu6sNxtac/dFUW4H7R1vPPrVmK11Hurk2j6cvQTCV7z9vuZA/ubiZp9ZtZf79S9nZcTjSxdPpzIy7Fp3N0WNBwdBUohnnCAQE/y/es3gqjXnyQCJ5E7glr104sS5cIPUBVWXBL5mp7f6ypaiwgCtaRnL/sxvYe+DIcYtDl23cxcym6tj2ec/UgrNHMbb6NP7phc3M/5jh9VThvmysM4Fg/moSpstlW0GBcefVZ1NSaCcsRpSLHrxhRtxN6JOZTTVcP2scj7zYyk2faKSxtoLWXZ2YZf//GAmcET64WPP+3hNWKN68o4OKksLE7FSWSjRbdx5gYkMVj73SRnN9BTPyYM//U6mrLOVbV57Fly5u5qGlm2jb3TXgQqEn01hbwS3zJnLfkg09u1LmUj2doSC3H4PJkBMskBrFs69v7ylMk+0RCAjmdLofX7+gfd9B3tq+f9AWHEcptbh1RetuXv2YKttbdmc3gchnV587mgXn5F/ylCR/dsVkigoK+P7TbwHBCMTo4acl/mHAUHXJ5HpGDy/jO79cf8LaNZt3dtJcH9/C2N5SO+u07uqkdWcnL7d+mJe1H06mvqqUO65q4R9uPH/Q6/B8eW4zzXUVPLn6A0oKC3oSUskOJRCSOFdNHU3n4W5+9tK7mMHoEdlfoHneGSMoLjRe7rW3dWonnYsn5sYc/s/MHMewsiIefuHE07FSQ/FxJGki2dYwrIwvXdLM/6zZymvv7aZ1VydNdbr241JZWsQ9fziNje0dPHCC2jWbd3TGXoE63YjyEoafVsy7uw7w+KttFBgsPi//aj8kRWlRId+95hwAmurKE1E4NJ8o2pI4c5prqK0o4c1t+xlZVRbL08Gy4kLOHTuC5b0TiLd3Ul1ezNmjc6NGYkVpETfOaeTX67Ydt/0gQNueLkoKC6iPed96kWy5+ZJm6ipL+Oun3qB1Z2fezFdOqrmT67nu/LH8aOlm1rbt7Tl+8Eg3H+ztSswC6pSm2nI27+zg8VfauHhSPaOGJ3cHsnxwwcQ6bpk3gc/Oyq91dUmgBEISp6iwgIVTgzn7cc5Nnj2+hnVb9nLgcLBri7vzfxuDis0FBbkzZP3HFzRRVFDAP/+u9bj32nZ3MXpEWU71R2QgKkuLuPXyyaxo3c3uA0fyouBT0v3FVS3UVpTwjcdW99TgeWdnJ+4kZgvXlMbaCl7ctIsP9h7kupkafUiCb3xySmJr0QxlSiAkkT41bTQQ79Sa2eNrOHrMee29oKLzhu0dtO8/1LMlZ65oGFbGHzTXHLeeA4I1EGO0/kHyzPWzxvVMjdEIRPyGlxdz96en8ua2/Sz426Vc9jfPc+PDywESUYU6XVNtOccchpUVcflZySgaKBIHJRCSSLOaapg9voaLYlysfH5jNQVGzzSmF97eAcBFCaja3VeTGqrY1N55XE2Itt1djB2hJ7CSX4oLC/jLq1qoLC3inDHD426OEFSUv33hFBpry5ly+jAuO6uBWy+bRMvpyZoumko4F00fk6iK9yLZpm1cJZEKC4yff/kTsbahqqyYltHDePmdXUCwgLq5roIxI3Lvif3Ehkq6wjnFqVGdg0e62dlxSCMQkpfmTWlgzZ3zNX0vQb4ydwJfmZvswoQzGqsZOayUG+Zozr3kN41AiJzE7KZaXntvDx2HjrJ884cn3Ks8F6T2x05tjQvZrwEhkjRKHqSvxtdVsPxblzNlVLJGRkSyTQmEyEnMHl/DoaPHeGRZK11HumOdUjUQk8IEYlN6AhHWgMjFERURERGJjxIIkZOY1VQNwENLN1NYYMyZUBtzi/qnuqKE2ooSNqYlEG2pInIqviMiIiJ9oARC5CRqK0uZ2FDJ3q4jTB83gmFlxXE3qd8mNFT2msJ0gMICY2SVakCIiIhI5pRAiJzC7PE1ADk7fSllYkMlG9s7cA92Ymrb3cXpw8tUvVNERET6RL85iJzChROCxOHSM3Nv+9Z0k8KRlJ0dh4GwBoTWP4iIiEgfKYEQOYUrp47iv792EeedUR13Uwbko52Y9gNhDYgYC/WJiIhIboo9gTCzBWb2lpltNLPbT/B+o5n9xszWmNnzZqba8ZJVZjYkik1NTNuJ6fDRY2zff1A1IERERKTPYk0gzKwQeBBYCLQAnzOzll4f+wHwU3efBtwF3JPdVooMDaOGlVFZWsTG9g627u3CXTUgREREpO/iHoGYDWx0983ufhj4d2BRr8+0AL8NXz93gvdFJANm1rMTU6oGxFitgRAREZE+ijuBGAO8n/Z9W3gs3Wpgcfj600CVmeXmZvwiMZtYH+zE1FMDQmsgREREpI/iTiAycRsw18xeA+YCW4Du3h8ys5vNbKWZrdyxY0e22yiSEyaNrKR9/yFe37oPMxg1vCzuJomIiEiOiTuB2AKMS/t+bHish7t/4O6L3f084I7w2J7eJ3L3h9x9prvPrK/P7e02RQbLxPpgIfXSDTsYNayMkqK4/wsQERGRXBP3bw8rgElmNt7MSoDrgSfTP2BmdWaWauc3gZ9kuY0iQ0ZqJ6bNOztVA0JERET6JdYEwt2PAl8FngbeAH7u7uvN7C4zuzr82KXAW2a2ARgJ3B1LY0WGgHE15T2jDtqBSURERPqjKO4GuPtTwFO9jn077fVjwGPZbpfIUFRYYDTXVfDmtv2qASEiIiL9EvcUJhHJstQ0Ju3AJCIiIv2hBEIkz0xqqALQGggRERHpFyUQInlm1vhqyooLOHNUVdxNERERkRwU+xoIEcmuCybUse47n6SoUM8PREREpO/0G4RIHlLyICIiIv2l3yJERERERCRjSiBERERERCRjSiBERERERCRj5u5xtyFyZrYXeDvudmSgDtgZdyMyMBzYG3cjTkGxjI5iGR3FMlq5EE/FMjqKZbRyIZ6KZXSiimWju9f3PjhUd2H6D3e/Oe5GnIqZrXT3mXG341TM7KGkx1OxjI5iGR3FMlq5EE/FMjqKZbRyIZ6KZXQGO5ZDdQrTL+NuwBCjeEZHsYyOYhkdxTI6imV0FMtoKZ7RyftYDskEwt3z/i82SopndBTL6CiW0VEso6NYRkexjJbiGR3FcogmEDnkobgbMIQoltFRLKOjWEZL8YyOYhkdxTI6imV0BjWWQ3IRtYiIiIiIDA6NQIiIiIiISMaUQETIzMaZ2XNm9rqZrTezW8PjNWa2xMzeDv+sDo+bmT1gZhvNbI2ZzUg7V7eZrQq/noyrT3GJKpZmNi8tjqvM7KCZXRNn37It4uvyXjNbF359Nq4+xakf8ZxiZi+a2SEzu63XuX5iZu1mti6OvsQtqliaWZmZvWxmq8Pz/FVcfYpLxNdlq5mtDf/PXBlHf+IU4XV5Zq/7zz4z+3pc/YpDxNflreG9Z32+xRH6Fcsbwnv4WjNbZmbnpp1r4Pced9dXRF/A6cCM8HUVsAFoAb4P3B4evx24N3x9JfArwIA5wPK0c3XE3Z+hEsu0c9YAHwLlcfcvF2MJXAUsIdj+uQJYAQyLu385EM8GYBZwN3Bbr3NdAswA1sXdr1yOZXitVoavi4HlwJy4+5eLsQzfawXq4u7TUIhl2jkLgW0Ee+rH3sdciyVwDrAOKA/vQc8CE+PuX8JjeQFQHb5eyO//jjnge49GICLk7lvd/dXw9X7gDWAMsAh4JPzYI0DqCfgi4KceeAkYYWanZ7nZiTRIsbwW+JW7Hxj0DiRIhLFsAZa6+1F37wTWAAuy2JVE6Gs83b3d3VcAR05wrqUESW1eiiqW4bXaEX5bHH7l1QK/KK/LfDdIsbwM2OTu7w5awxMowlieRfAL8AF3Pwr8L7A4C11IjH7Ecpm77w6PvwSMTTvXgO89SiAGiZk1AecRPAkb6e5bw7e2ASPD12OA99N+rC08BlBmZivN7CXLsyk3vUUQy5TrgUcHraE5YICxXA0sMLNyM6sD5gHjstDsxMownpKBgcbSzArNbBXQDixx9+WD1NTEi+C6dOAZM3vFzBJdLGuwRfhvXPefgcVyHXCxmdWaWTnBSHne3n/6EcsvEswsiMxQrUQdKzOrBB4Hvu7u+8ys5z13dzPL5MlYo7tvMbNm4LdmttbdNw1SkxMrolgSPkGfCjw9KA3NAQONpbs/Y2azgGXADuBFoHsQm5xoUV2bEk0s3b0bmG5mI4AnzOwcd8+7tSURXZcXhfefBmCJmb0ZPrHMKxHef0qAq4FvDkpDc0AE9583zOxe4BmgE1hFnt5/+hpLM5tHkEBcFGU7NAIRMTMrJviL/Zm7/yI8vD01nSb8sz08voXfz6DHhsdw99Sfm4HnCTLNvBJVLEOfAZ5w97wcro/wurzb3ae7+xUE8843ZKP9SdPHeMpJRB1Ld98DPEceTq+LKpZp95924Alg9uC0OLkivi4XAq+6+/boW5p8EV6XP3b38939EmA3eXj/6WsszWwa8DCwyN13RdkWJRARsiAN/DHwhrvfl/bWk8AXwtdfAP4r7fjnLTAH2OvuW82s2sxKw3PWARcCr2elEwkRVSzTfu5z5OnwcYTXZaGZ1YbnnAZMI3galFf6EU/5GFHF0szqw5EHzOw04ArgzehbnFwRxrLCzKpSr4H5BNNH8sYg/BvX/SeCWIYjYpjZGQTrH/4t2tYmW19jGcbpF8BN7h59suUJWFk+VL4IhoecYHHpqvDrSqAW+A3wNsHOATXh5w14ENgErAVm+kcr59cSzDlfC3wx7r7laizD95oInqAXxN2vXI4lUEaQyL5OsCBretx9y5F4jiJYR7IP2BO+Hha+9yiwlWDBYFu+/VuPKpYEyexr4XnWAd+Ou285HMvm8N6zGlgP3BF333I1luF7FcAuYHjc/RoCsXwhvP+sBi6Lu285EMuHCUZqUp9dmXauAd97VIlaREREREQypilMIiIiIiKSMSUQIiIiIiKSMSUQIiIiIiKSMSUQIiIiIiKSMSUQIiIiIiKSMSUQIiISGTPrNrNVZrbezFab2Z+b2UnvNWbWZGZ/lK02iojIwCiBEBGRKHV5UK38bIKCbguBO0/xM02AEggRkRyhOhAiIhIZM+tw98q075uBFUAd0Aj8K0FxLYCvuvsyM3sJOAt4B3gEeAD4HnApUAo86O4/ylonRETkpJRAiIhIZHonEOGxPcCZwH7gmLsfNLNJwKPuPtPMLgVuc/dPhZ+/GWhw9++aWSnwO+A6d38nq50REZETKoq7ASIikjeKgR+a2XSgG5j8MZ+bD0wzs2vD74cDkwhGKEREJGZKIEREZNCEU5i6gXaCtRDbgXMJ1uAd/LgfA77m7k9npZEiItInWkQtIiKDwszqgX8EfujBfNnhwFZ3PwbcBBSGH90PVKX96NPAn5pZcXieyWZWgYiIJIJGIEREJEqnmdkqgulKRwkWTd8Xvvf3wONm9nng10BneHwN0G1mq4F/Af6OYGemV83MgB3ANdnqgIiInJwWUYuIiIiISMY0hUlERERERDKmBEJERERERDKmBEJERERERDKmBEJERERERDKmBEJERERERDKmBEJERERERDKmBEJERERERDKmBEJERERERDL2/wNMYMaIDI3tAAAAAElFTkSuQmCC\n","text/plain":["
"],"text/plain":[" US dollars per troy\n","Date \n","2004-01-31 413.79\n","2004-02-29 404.88\n","2004-03-31 406.67\n","2004-04-30 403.26\n","2004-05-31 383.78"]},"metadata":{"tags":[]},"execution_count":31}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":513},"id":"XtlqVbgDrhPo","executionInfo":{"status":"ok","timestamp":1626299563571,"user_tz":300,"elapsed":6,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"27798038-3330-4942-c010-64d361019d7d"},"source":["m = 12\n","alpha = 1/(2*m)\n","ftd_gld['HWES1'] = SimpleExpSmoothing(ftd_gld['US dollars per troy']).fit(smoothing_level=alpha,optimized=False,use_brute=True).fittedvalues\n","ftd_gld[['US dollars per troy','HWES1']].plot(title='Holt Winters Single Exponential Smoothing');"],"execution_count":32,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":513},"id":"qOSQ_wLFriqY","executionInfo":{"status":"ok","timestamp":1626299564112,"user_tz":300,"elapsed":299,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"73a7f5d4-ca60-4fa7-8fd3-9eebe39c80e4"},"source":["ftd_gld['HWES2_ADD'] = ExponentialSmoothing(ftd_gld['US dollars per troy'],trend='add').fit().fittedvalues\n","ftd_gld['HWES2_MUL'] = ExponentialSmoothing(ftd_gld['US dollars per troy'],trend='mul').fit().fittedvalues\n","ftd_gld[['US dollars per troy','HWES2_ADD','HWES2_MUL']].plot(title='Holt Winters Double Exponential Smoothing: Additive and Multiplicative Trend');"],"execution_count":33,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":547},"id":"cKMjBrrKrobZ","executionInfo":{"status":"ok","timestamp":1626299564689,"user_tz":300,"elapsed":579,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"c1e71640-817c-49fc-8a70-91aa3ec2f10f"},"source":["ftd_gld['HWES3_ADD'] = ExponentialSmoothing(ftd_gld['US dollars per troy'],trend='add',seasonal='add',seasonal_periods=12).fit().fittedvalues\n","ftd_gld['HWES3_MUL'] = ExponentialSmoothing(ftd_gld['US dollars per troy'],trend='mul',seasonal='mul',seasonal_periods=12).fit().fittedvalues\n","ftd_gld[['US dollars per troy','HWES3_ADD','HWES3_MUL']].plot(title='Holt Winters Triple Exponential Smoothing: Additive and Multiplicative Seasonality');"],"execution_count":34,"outputs":[{"output_type":"stream","text":["/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/holtwinters.py:712: ConvergenceWarning: Optimization failed to converge. Check mle_retvals.\n"," ConvergenceWarning)\n"],"name":"stderr"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"jwhX27GYrrM4","executionInfo":{"status":"ok","timestamp":1626299564689,"user_tz":300,"elapsed":7,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}}},"source":["train = ftd_gld[:100] \n","test = ftd_gld[100:]"],"execution_count":35,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":475},"id":"wjukPEjurtP4","executionInfo":{"status":"ok","timestamp":1626299565080,"user_tz":300,"elapsed":397,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"6f5e7eeb-c32b-47a7-c06b-5b0160d19a5b"},"source":["fitted_model = ExponentialSmoothing(ftd_gld['US dollars per troy'],trend='mul',seasonal='mul',seasonal_periods=12).fit()\n","test_predictions = fitted_model.forecast(24)\n","train['US dollars per troy'].plot(legend=True,label='TRAIN')\n","test['US dollars per troy'].plot(legend=True,label='TEST',figsize=(14,7))\n","test_predictions.plot(legend=True,label='PREDICTION')\n","plt.title('Train, Test and Predicted Test using Holt Winters')"],"execution_count":36,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'Train, Test and Predicted Test using Holt Winters')"]},"metadata":{"tags":[]},"execution_count":36},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"bw95IdClrvS5","executionInfo":{"status":"ok","timestamp":1626299565081,"user_tz":300,"elapsed":8,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"f5d9e691-71c3-4f93-a2cb-cf2a49a21d88"},"source":["print('Holt Winters Value Predictions\\n\\n')\n","\n","print(test_predictions)"],"execution_count":37,"outputs":[{"output_type":"stream","text":["Holt Winters Value Predictions\n","\n","\n","2021-07-31 1869.894017\n","2021-08-31 1922.206900\n","2021-09-30 1956.126526\n","2021-10-31 2011.518541\n","2021-11-30 2103.250687\n","2021-12-31 2184.271688\n","2022-01-31 2215.703319\n","2022-02-28 2177.214485\n","2022-03-31 2132.114244\n","2022-04-30 2136.806053\n","2022-05-31 2103.853307\n","2022-06-30 2095.498566\n","2022-07-31 2135.086611\n","2022-08-31 2194.818625\n","2022-09-30 2233.548809\n","2022-10-31 2296.796645\n","2022-11-30 2401.538451\n","2022-12-31 2494.050034\n","2023-01-31 2529.939369\n","2023-02-28 2485.991962\n","2023-03-31 2434.495502\n","2023-04-30 2439.852714\n","2023-05-31 2402.226536\n","2023-06-30 2392.686907\n","Freq: M, dtype: float64\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":868},"id":"P8kGwc4wrxBI","executionInfo":{"status":"ok","timestamp":1626299565797,"user_tz":300,"elapsed":721,"user":{"displayName":"irving palacios","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjw6M4LpzTUVro1G-5_aqYZYQhXb8NkvR-4cdiB=s64","userId":"06814234566595318222"}},"outputId":"cf400482-8da8-4e41-bb23-7900ba185791"},"source":["test['US dollars per troy'].plot(legend=True,label='TEST',figsize=(9,6))\n","test.plot(legend=True,label='PREDICTION');"],"execution_count":38,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAiQAAAFzCAYAAAAOkBKiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdd3ib5bk/8O8jybY85b23EydO7ExnECCMAElYYZZVCNAWyq8t3ZSuA6f0nA5oT2kPcMphc8pqGKUpBZKUACFkOdOJk3jEQ56yLQ/ZliVLz+8PScZJPCRZ29/PdeW6ktevXt0OJr79PPd9P0JKCSIiIiJ/Uvg7ACIiIiImJEREROR3TEiIiIjI75iQEBERkd8xISEiIiK/Y0JCREREfqfydwCTSU5Olvn5+f4Og4iIiDykoqKiU0qZcub1KRMSIUQOgJcApAGQAJ6WUj4uhEgE8DqAfAD1AL4kpdQLIQSAxwFcDmAQwJ1Syv32Z20E8DP7o38ppXxxsvfOz8/Hvn37nPsMiYiIKOAJIRrGu+7Mls0IgO9LKecBWAngG0KIeQAeBLBNSjkbwDb7nwFgPYDZ9l/3AHjKHkAigIcArACwHMBDQogEtz8jIiIiChlTJiRSylbHCoeUsh9AFYAsABsAOFY4XgRwjf33GwC8JG12AYgXQmQAWAtgi5SyW0qpB7AFwDqPfjZEREQUlFwqahVC5ANYDGA3gDQpZav9Q22wbekAtmSlaczLtPZrE10/8z3uEULsE0Ls0+l0roRHREREQcrpolYhRAyANwF8R0rZZysVsZFSSiGERw7FkVI+DeBpACgvLz/rmWazGVqtFkaj0RNvF/DUajWys7MRFhbm71CIiIi8xqmERAgRBlsy8hcp5Vv2y+1CiAwpZat9S6bDfr0ZQM6Yl2fbrzUDuPCM69tdDVir1SI2Nhb5+fkYmxSFIiklurq6oNVqUVBQ4O9wiIiIvGbKLRt718yzAKqklL8f86F3AWy0/34jgL+NuX6HsFkJoNe+tfMBgMuEEAn2YtbL7NdcYjQakZSUFPLJCAAIIZCUlDRjVoOIiGjmcmaF5FwAtwM4IoQ4aL/2EwC/BvCGEOIrABoAfMn+sfdga/mtga3t9y4AkFJ2CyEeAbDXft8vpJTd7gQ9E5IRh5n0uRIR0cw1ZUIipdwBYKLvimvGuV8C+MYEz3oOwHOuBBhourq6sGaN7dNua2uDUqlESoptvsuhQ4ewcOHC0XtvvvlmPPjgg9i8eTN+/vOfw2q1wmw249vf/jY6Ozvx17/+FQBw5MgRlJWVAQDuvvtu3H///T7+rIiIiPxL2PKHwFReXi7PHIxWVVWFkpISP0V0uocffhgxMTH4wQ9+AACIiYmBwWA47R6z2Yy8vDzs2bMH2dnZGB4eRn19PebMmTN6z3ivGyuQPmciIqLpEEJUSCnLz7zOs2y8rL+/HyMjI0hKSgIAREREnJaMEBERUYCfZTOVf//7URxr6fPoM+dlxuGhq+a79dqhoSEsWrRo9M8//vGPcdNNN+Hqq69GXl4e1qxZgyuvvBK33HILFArmgkRERA5BnZAEmsjISBw8ePCs68888wyOHDmCrVu34rHHHsOWLVvwwgsv+D5AIiIKCSfa+lGcFhNSjQ9BnZC4u5LhD2VlZSgrK8Ptt9+OgoICJiREROSWOp0Ba//wCR6/eRE2LDpr4HnQ4r6BlxkMBmzfvn30zwcPHkReXp7/AiIioqB2qnMAAPDB0TY/R+JZQb1CEmjOrCFZt24dfvrTn+K3v/0t7r33XkRGRiI6OpqrI0RE5LbWXtuwzI9P6DA8YkGESunniDyDCck0PPzww6f92WKxjHvfe++9N+lzJmv5JSIiGqu1dwgAMGCyYHddN1YXp/g5Is/glg0REVEQae0xIjkmAuowBbZVtfs7HI9hQkJERBREWnuNyE+KwnmzUrC1qgOBPODUFUxIiIiIgkhr7xDSNWpcUpKK5p4hHG/r93dIHhGUCUmoZIPOmEmfKxERTU5KidZeIzLjI3Hx3FQACJltm6BLSNRqNbq6umbEN2opJbq6uqBWq/0dChERBQD9oBnDI1ZkaNRIjVNjYU48tlZ1+Dssjwi6Lpvs7GxotVrodDp/h+ITarUa2dnZ/g6DiIgCQEuPrcMmQ2P7QfWSuan43ZaT6Og3IjU2uH94DbqEJCwsDAUFBf4Og4iIyOfa7DNIMjSRAIA1JWn43ZaT+Oh4B25aluvP0KYt6LZsiIiIZirHDBLHCklJRiyy4iNDYtuGCQkREVGQaO01QqUQSI6JAAAIIbCmJBWfVutgNI8/nDNYMCEhIiIKEq29RqTFqaFQfHHK75qSNBjNVuys7fRjZNPHhISIiChItPQMITP+9OLVlYWJiA5XBv22DRMSIiKiINHWZxwtaHWIUCmxujgFHx5tw8DwiJ8imz4mJEREREHAMRTNUdA61lfPL0TXgAmPfXjCD5F5BhMSIiKiINA1YILJPhTtTEvzEvDlFXl4YWc9Djb1+CG66WNCQkREFAQcM0jSz9iycXhg3Rykxarx4JuHYbZYfRmaRzAhISIiCgKOKa1nFrU6xKrD8Mg1pTje1o+nP6nzZWgewYSEiIgoCLT1OVZIJh4Rf+m8NFxelo7Ht1WjTmfwVWgewYSEiIgoCLT0GBGmFEiOjpj0voevmo8IlQI/eftIUB1Ey4SEiIgoCLT2DiFdc/pQtPGkxqnx08tLsKuuG2/ub/ZRdNPHhISIiCgItPYakRE3fkHrmW5aloOSjDi8sPOUl6PyHCYkREREQaC1dwgZExS0nkkIgZvKs1HZ3Ieq1j4vR+YZTEiIiIgCnNUq0d47PGlB65k2LMpCuFKBv+7TejEyz2FCQkREFOC6BkwwWazInGAGyXgSosNx6bw0vHOwGaaRwJ9LwoSEiIgowLX22maQuLJCAgA3lGeje8CEfx1v90ZYHsWEhIiIKMC12qe0urJCAgCrZ6cgLS4iKLZtmJAQEREFuFb7lFZni1odlAqB65dk46MTHeiwD1YLVExIiIiIAlxrrxHhSgUSo8Jdfu0NS7NhlcBbBwJ7JgkTEiIiogDX2mt0aijaeApTYrAsPwFv7GsK6MmtTEiIiIgCnGNKq7tuXJqDOt0A9jf2eDAqz2JCQkREFOBae43InEZCcvmCDESGKbGpomnS+yqbe3Hn83tQ3d7v9nu5iwkJERFRALNaJdr7jEh3scNmrJgIFa5YkIG/H2pFZXPvuPdsqtDiuqd2YvsJHd72Q70JExIiIqIA1mkYhtkikelih82Zvnp+AcKUAlf+aQe+9eoBNHQNAABMI1b87J0j+MFfD6E8LwFz0mKxt77bE6G7ROXzdyQiIiKnOWaQZExjhQQA5qbH4eMHLsLTH9fhmR11+OeRVtyyPBdHW3qxv7EH915QiB9eNge/ef84XtzZAKPZAnWY0hOfglO4QkJERBTAHFNaM6ZRQ+IQpw7DD9bOwSc/vAg3LcvBK3sacaKtH0/etgQ/Xl8ClVKBZfmJMFmsODLB1o6zdP3DaLHPT3EGV0iIiIgC2BcrJNNPSBxS49T4j2vL8PULiiAEkJ0QNfqxZfmJAIA9p7pHf++OB988jANNPXjv/vOd6hDiCgkREVEAa+01IlylQGK060PRppKTGHVaMgLYDuWbnRoz7TqS42396B4w4f7XDmDEMvXhfkxIiIiIAlhLzxAyNGoI4fpQNHctK0hERb0eFqt7g9SGTBY09wyhNCsOe0514w9bq6d8DRMSIiKiANbaa0R6nOe2a5yxPD8R/cMjON7W59br6zoNAICvX1CEm8pz8MT2Gnx8Ujfpa5iQEBERBbBm/dBZ2yreVp6fAADYe8q9bZs6na2luDA5Bg9fPR/FqbH47usH0dY78QF/TEiIiIgC1PCIBe39RmQnTK/l11XZCVHI1Kixt17v1usdCUlBcjQiw5V44rYlMJotuP+1AxO+hgkJERFRgGrtMUJK+DwhAWx1JHvqu906kK+u04Cs+EhEhtvmmMxKjcF/XFuKPZOsuDAhISIiClBavW2OR06ib7dsAFv7r65/GA1dgy6/tk43gMKU6NOuXbs4G7+5vmzC1zAhISIiClBNelsy4I8VkuUFthkkrrb/SilRpzOgKCXmrI/dtCx3wtcxISEiIgpQWv0glArh8y4bAJiVEoP4qDCXE5KO/mEMmCxnrZBMhQkJERFRgNLqbTNIVErff7tWKATK8xJdLmyt1dlafguTz14hmfT9XLqbiIiIfEarH0KOj1t+x1pekIBTnQPo6J+4XfdMtY6WX66QEBERhQatftAv9SMO5fazbPa5sEpSpzMgMkzp8jYTExIiIqIAZDRb0N437POhaGOVZmqgDlNM2q57pjrdAAqSo6FQuDbqngkJERFRAGrpsbX8+nOFJFylwOKcBJcKW+s6DS5v1wBOJCRCiOeEEB1CiMox1xYJIXYJIQ4KIfYJIZbbrwshxB+FEDVCiMNCiCVjXrNRCFFt/7XR5UiJiIhmEH/OIBlraV4Cqlr7MDximfJeo9kCrX5o3JbfqTizQvICgHVnXPstgH+XUi4C8G/2PwPAegCz7b/uAfAUAAghEgE8BGAFgOUAHhJCJLgcLRER0QzhSEj8uUICALPTYmCVcGpAWkPXIKR0vaAVcCIhkVJ+AuDMtRoJIM7+ew2AFvvvNwB4SdrsAhAvhMgAsBbAFillt5RSD2ALzk5yiIiIyK5JPwiVQiDNDzNIxnKsdtTZ23kn47jHnRUSlcuvsPkOgA+EEI/BltSssl/PAtA05j6t/dpE188ihLgHttUV5OZOPNGNiIgolGn1Q8iMj4TSxeJQTytItq12ONp5J1PX+cWheq5yt6j1PgDflVLmAPgugGfdfM5ZpJRPSynLpZTlKSkpnnosERFRUNHqB5GT6N/tGgCIjlAhQ6NGbcfUKyS1HQakx6kRHeH6eoe7CclGAG/Zf/9X2OpCAKAZQM6Y+7Lt1ya6TkREROPQ6oeQHe/fglaHopSY0Qmsk6ntPPtQPWe5m5C0ALjA/vuLAVTbf/8ugDvs3TYrAfRKKVsBfADgMiFEgr2Y9TL7NSIiIjqD0WyBrn/Y7wWtDkUp0ajVDUBKOeE9jkP13E1IplxTEUK8CuBCAMlCCC1s3TJfA/C4EEIFwAh7zQeA9wBcDqAGwCCAu+xBdgshHgGw137fL6SUrp3WQ0RENEOMdtgEwJYNABSlxsAwPAJd/zBSJyiy7TSY0G8ccaugFXAiIZFS3jLBh5aOc68E8I0JnvMcgOdcio6IiGgG0uptLbb+PMdmLEeSUaMzTJiQODpsCt1MSDiplYiIKMB8MYMkMBISxzbMZJ02jg6bQjc6bAAmJERERAFHqx9CmFIgNTbC36EAANLj1IgKV07aaVOnMyBCpUBWvHvbTExIiIiIAoxWP4is+EiXD6jzFiHElJ027h6q58CEhIiIKMA06Yf8fobNmYpSolE3xZaNux02ABMSIiKigNOsHwyYll+HopQYNPcMYch09iF7phErGrsH3e6wAZiQEBERBZQhkwWdBlPAFLQ6OLpn6jrP3rZp7B6AxSq5QkJERBQqmntsLb8Bt0KSOnGnTVVrv+0erpAQERGFhqYAa/l1yE+KhhAYt9Nma1U7EqPDMS8jzu3nMyEhIiIKINpux1C0wFohUYcpkZMQdVanzfCIBf+q6sClJWlQKd1PK5iQEBERBRCtfgjhKgWSYwJjBslY43Xa7KzpQv/wCNaVpk/r2TMuIbFYJWo6DNhZ0znpIUFERET+YDvlN3BmkIxVmBKDuk4DrNYvvn/+s7IVsREqrJqVNK1nT3mWTSj46EQHPqhsQ1VrH06098NotgIAHr1hAW4sz/FzdERERF/Q6geRHWAzSByKUmJgNFvR0juE7IQojFis2HKsHReXpCJCpZzWs2fECskDmw5j8+FWRIWrcOvyPDx6wwIsyNbg91tOwmg+u5+aiIjIX7T6oYDrsHEoOuNMmz2nuqEfNGP9NLdrgBmwQmI0W6DrH8b3Li3G/Wtmj17PTojCLf+7Cy/urMe9FxT5MUIiIiKbgeERdA2YAjchSbW19dZ2GHBBcQreP9oGdZgCq4tTpv3skF8hae01AgAyzzjs55yiJFw0JwVPfFSD3kGzP0IjIiI6TXNPYLb8OiRFh0MTGTZaR/J+ZRsuKE5BVPj01zdCPiFpsf/HHe/0wQfWzUX/8Aie3F7j67CIiIjOotUHZsuvg+2QvWjUdgzgQFMPOvqHsb40wyPPDvmEpHmShKQkIw7XLs7C8zvrRxMXIiIifxgyWfCnf9VAHaZAYbL7E0+9rdB+6u8HR9sQphS4aG6qR54b8glJS88QhADSNOP3c3//sjkAgN9vOenLsIiIiEZZrBL3v3YAB5t68IebFkMTFebvkCZUlBKDjv5hvHOgGauKkqGJ9EysIZ+QNOuHkBITMWE7UlZ8JDaek4c392txvK3Px9EREdFMJ6XEw+8exZZj7fj3q+dPe8CYtzk6bWzbNZ6LNeQTkpbeIWRNsRf3jYtmISZChcc+OOGjqIiIiGz+5+M6vLyrAfdeUIg7zsn3dzhTcnTaKARw6bw0jz039BOSHuNZHTZnio8Kx1fPK8TWqo6zZvQTERF5yzsHmvGb94/j6oWZ+NHauf4Oxym5iVFQKQSWFyQiyYPj7UM6IZFSorlnaNyC1jPduiIX4UoFXtpZ7/3AiIhoxusyDONHbx7GysJEPHrjgoAcFT+eMKUCP7uiBD+w12B6SkgnJF0DJphGrMjUqKe8NyU2AlcuyMCmCi36jJxLQkRE3vXa3iYMj1jxy2tKpz123dfuPLcA5fmJHn1mSCckzXp7y6+TA2Y2rsrHgMmCTfu03gyLiIhmOItV4pXdjVhVlIRZqbH+DicghHRC4pgtkhk/9QoJACzMiceS3Hi89Hn9aScZEhERedK2qnY09wzhjnPy/B1KwAjphGSyoWgTufPcAtR3DeLjkzpvhUVERDPcy7sakKFR45ISz3WpBLuQTkhaeoyICle6NLRlfWk60uIi8DyLW4mIyAvqdAZ8Wt2JW5fnQqUM6W/DLgnpv4nmnkFkxUdCCOcrl8OUCty2Ig+fnNShpoMtwERE5Fkv72pAmFLg5uW5/g4loIR0QuLMDJLx3LLc3gL8eb3HYyIioplr0DSCTRVarC/NQEqs52Z4hIIQT0iG3EpIUmIjcOVCtgATEZFnvXOgBf3GERazjiNkExKj2YKuAROynOywOdNdqwowaLLgqe21Ho6MiIhmIiklXvq8HiUZcVial+DvcAJOyCYkox02U5xjM5GybA2+VJ6Np7bX4oOjbZ4MjYiIZqB9DXocb+vHHefkuVTbOFOEbEIyOoNE415CAgC/2FCKBdkafP+NQyxwJSKiaXn7QDNiIlTYsCjT36EEpNBPSNyoIXFQhynxP19eigiVAve8vA/9rCchIiI3Vbf3Y15GHKLCVf4OJSCFbELS3GOEQgDpTpxjM5nM+Eg8cdsSNHQN4ntvHOIEVyIickutbgBFqdH+DiNghW5Coh9CWpwaYR4YOrOyMAk/vbwEW46144mPajwQHRERzSQ9gyZ0D5hQmBzj71ACVsgmJO62/E7krnPzcc2iTPx+60m09g557LlERBT6anUDAIDCFK6QTCR0E5JezyYkQgh8a81sSAl8UMmuGyIicl6tztYYUZTCFZKJhGRCYrVKtPYYnT7l11lFKTGYnRqDfzIhISIiF9TpBhCmFMh2cxTFTBCSCUmnYRgmixXZHlwhcVhfmo699d3oNAx7/NlERBSa6nQG5CVF8zC9SYTk30yzB1p+J7KuNANWCWw51u7xZxMRUWiq1RlQxPqRSYVkQtLSYwTgnYSkJCMWuYlReJ/bNkRE5ASzxYrG7kEUsn5kUiGakHhvhUQIgfWl6dhZ24neIQ5KIyKiyTV1D8JskShM5grJZEIyIWnuGUJshAqayDCvPH9taTrMFol/Hee2DRERTa7O3vJblMoVksmEbELijdURh0XZ8UiPU+OfR7htQ0REk6vrtLf8cijapEIyIbENRfNsy+9YCoXAutJ0fHxSh4HhEa+9DxERBb/ajgEkRYdDE+WdVftQEcIJiXd7vdfOT8fwiBUfn9R59X2IiCi41XUaOBDNCSGXkAyaRqAfNCPLy8NnlhckIik6nEPSiIhoUnW6AY6Md0LIJSSODpssL6+QKBUCl85Lw7+q2mE0W7z6XkREFJx6Bk3oGjAxIXFCyCUkzV6cQXKmdaXpGDBZ8FlNp9ffi4iIgo/jUD1u2Uwt5BISb84gOdOqomTEqlX4x+FWr78XEREFnzr7oXocija1kEtIPq/tQmyECmmxEV5/r3CVAlcuyMR7la0ckkZERGeptR+ql8ND9aYUUglJW68R7x1pxZeW5fjsAKPbVuTCaLbi7f1an7wfEREFDx6q57yQ+ht6eVc9LFJi4zn5PnvP0iwNFmRr8MqeRkgpffa+REQU+Gp1Bo6Md1LIJCRGswWv7G7EpSVpyE2K8ul737o8FyfbDaho0Pv0fYmIKHCN2A/V48h454RMQvLOgWboB82469wCn7/3VQszEROhwiu7G33+3kREFJia9EM8VM8FUyYkQojnhBAdQojKM65/SwhxXAhxVAjx2zHXfyyEqBFCnBBCrB1zfZ39Wo0Q4kFPfhJSSjz/WT1KMuKwsjDRk492SnSECtcuzsLmI63oGTT5/P2JiCjw1Haww8YVzqyQvABg3dgLQoiLAGwAsFBKOR/AY/br8wDcDGC+/TVPCiGUQgglgCcArAcwD8At9ns9YmdtF0609+Ouc/MhhPDUY11y64pcmEaseHN/s1/en4iIAsvooXociuaUKRMSKeUnALrPuHwfgF9LKYft93TYr28A8JqUclhKeQpADYDl9l81Uso6KaUJwGv2ez3i+c9OISk6HFcvzPTUI11WkhGHxbnxeGV3A4tbiYgIdTrboXrxUeH+DiUouFtDUgzgfCHEbiHEx0KIZfbrWQCaxtyntV+b6Pq01XcOYNvxDty2IhfqMKUnHum2W5fnolY3gN2nzszfiIhopqnVGTgy3gWqabwuEcBKAMsAvCGEKPREQEKIewDcAwC5ubmj100jVvxuywlUNvdiXkYcSrM0KMvS4KXPG6BSCHx5ZZ4n3n5arlyQiV9sPoZXdjdiZWGSv8MhIiIf+c5rB3CqaxDXLc7C1QszkRAdjjrdAC6dl+bv0IKGuwmJFsBb0rY3sUcIYQWQDKAZQM6Y+7Lt1zDJ9dNIKZ8G8DQAlJeXSwDo6DfiG3/Zj731esxNj8WLnzfANGIdfc11i7OQGqd281PxnMhwJa5fko1XdjeiyzCMpBjvT4slIiL/qtMZ8M7BFiRFh+Ohd4/il/84hguKU3monovcTUjeAXARgI+EEMUAwgF0AngXwCtCiN8DyAQwG8AeAALAbCFEAWyJyM0AbnXmjQ429eDrL1egZ8iEP96yGFcvzITZYsXJ9n5UNveipsOAO3w4CG0qGxZl4oWd9dhbr8e60nR/h0NERF721wotlAqBf377fHQNmPBmhRbvHGwBAMzP1Pg5uuAxZUIihHgVwIUAkoUQWgAPAXgOwHP2VmATgI321ZKjQog3ABwDMALgG1JKi/053wTwAQAlgOeklEenem/9gAlf+p/PkRoXgbfuOxfzMuMAAGFKBeZnagLyP3Rhsq29S6sf9HMkRETkbSMWK96s0OLC4hSkxqmRGqfGz66chwfXz0Vd5wBmcyia06ZMSKSUt0zwoS9PcP9/APiPca6/B+A9V4LT9gzhxoJE/OmWxUiIDo4qZU1UGGLVKjR2MyEhIgp1n1Tr0NE/jBvLc067rlIqUJwW66eogpO7WzY+kaFR44W7lgXdoUQ5CVFoYkJCRBTyXt/bhOSYcKwpSfV3KEEvoL/TJ8dEBF0yAgC5iVFo0g/5OwwiIvKiTsMwtlV14NrFWQgLwu9VgYZ/g16QkxiJpu5BDkgjIgph7xxoxohV4ktnbNeQe5iQeEFOYhSGR6zQ9Q/7OxQiIvICKSVe39uExbnxmM1aEY9gQuIFOQlRAIAmdtoQEYWkg009qO4wcHXEg5iQeEFOoj0h6WYdCRFRKHpjnxbqMAWuXJDh71BCBhMSL8hOiAQAdtoQEYWgIZMFfz/UgsvLMhCrDvN3OCGDCYkXqMOUSI2N4JYNEVEI+vBYGwzDI9yu8TAmJF6SkxjF4WhERCHoiLYX6jAFluUn+juUkMKExEtyEiJZQ0JEFIJOdhhQlBIDpUL4O5SQwoTES3ITo9DaOwSzxTr1zUREFDRq2vt5Ro0XMCHxkuzEKFgl0Npj9HcoRETkIf1GM1p6jZw94gVMSLzEMYuEdSRERKGjpsMAAFwh8QImJF6Sk2hv/WWnDRFRyKh2JCRcIfE4JiRekqGJhEohOIuEiCiE1HQYEK5SINc+AJM8hwmJlygVAlkJkTz1l4gohJxs72eHjZcwIfGinATOIiEiCiXV7QbWj3gJExIvykmMhJYJCRFRSBgYHkFzzxCK05iQeAMTEi/KTohC14AJA8Mj/g6FiIimydFhMyuVBa3ewITEixxFT1rWkRARBb0vOmy4QuINTEi8KCeRs0iIiEJFdXs/wpUK5LHDxiuYkHhRToJ9FgkTEiKioFfdYUBhSjRUSn7r9Ab+rXpRYnQ4osKVHI5GRBQCqjv6MYsdNl7DhMSLhBDITYziqb9ERH42YrHiv7acxObDLW69ftA0gqbuIRRzQqvXqPwdQKjLTojilg0RkR8NmSz41qv7sbWqA0qFQJw6DKuLU1x6Rm3HAACeYeNNXCHxspzESDTpByGl9HcoREQzTveACbc+swvbjnfgp5eXYHZqDL7xl/2obu936TnVHbb72WHjPUxIvCwnIQqDJgu6B0z+DoWIaEZp6h7EDf+zE0db+vDUbUvwtdWFePbOZYgIU+LuF/eiyzDs9LNOthsQphTIS4r2YsQzGxMSL3O0/vJMGyIi3znVOYDrntqJzv5h/OWrK7CuNAMAkBUfiWc2lqOjbxj3vFwBo9ni1PNqOvpRkByNMHbYeA3/Zr3MMRyNdSRERL7zxr4m6AdM2HTfKizLTw6JL/YAACAASURBVDztY4ty4vFfNy1CRYMeP3rzsFNb6tUdBsxmQatXMSHxsmz7LBIORyMi8p3qdtvMkIm6Yi4vy8AP187B3w624K39zZM+a8hkQWP3IAtavYwJiZdFR6iQFB0OLWeREBH5TI0TM0Puu6AIC7M1+O0HxzFomvjMsVqdAVICs3mGjVcxIfGBbM4iISLyGaPZtqIx1SF4CoXAz6+ch/a+YTz9Sd2E9zkO1eMpv97FhMQHchOj0NA94O8wiIhmhFOdA7BK52aGlOcn4oqyDPz54zq09RrHvedkez9UCnbYeBsTEh+Ymx6Lpu4h9BnN/g6FiCjkOU7ldXbM+4Pr58JilXj0gxMTPi8/ORrhKn7L9Cb+7frA/Mw4AMCxlj4/R0JEFPpq2vuhEEBBsnMrGjmJUbjrvHy8uV+LI9res5/XYeB2jQ8wIfGB+ZkaAEBl89lf6ERE5Fk1OgPykqKhDlM6/ZpvXDQLSdHheOQfx0bbgCube/H9Nw6hvmsAc9LivBUu2fEsGx9IiY1AepwaR7lCQkTkddXtBpdP5Y1Th+G7lxbjZ+9U4tfvH8f+Bj321usRFa7El1fk4a7z8r0TLI1iQuIjpVlxXCEhIvIys8WKU50DuGRemsuvvXlZDl76vB5//rgOuYlR+NkVJbixPAeayDDPB0pnYULiI/MzNfjX8Q4MmkYQFc6/diIib2joGsSIVbo1xEylVODZjctwqnMA585KhlIhvBAhTYQ1JD5SmqWBVQJVra6dMElERM6rcZzK6+YQs5zEKKwuTmEy4gdMSHykNMtWEHW0hds2RETeUt1ua/ktSuXMkGDDhMRH0uPUSIoOZx0JEZEXVXcYkBUfya3xIMSExEeEEJifpUFlMzttiIi8pabDgNmcGRKUmJD4UGlmHE6292N4xOLvUIiIQo7FKlGrM/BU3iDFhMSHSrM0GLFKnGwz+DsUIqKQo9UPYnjE6vIMEgoMTEh8qNQxsZWFrUREHucoaJ3qlF8KTExIfCgnMRKxahULW4mIvKBG59qhehRYmJD4kBACpZkaVHKEPBGRx1W3G5AaG8HJqkGKCYmPlWbFoaq1D2aL1d+hEBGFlJqOfnbYBDEmJD5WmqWBacSKWh0LW4mIPEVKaWv5Zf1I0GJC4mPzHYWtnEdCROQxrb1GDJgsKGL9SNBiQuJjhcnRiA5XsrCViMiDqjtsq86cQRK8mJD4mEIhMC8zjmfaEBF5UHW741A9JiTBigmJH8zP1OBoSx+sVunvUIiIQkKtzoDE6HAkxUT4OxRyExMSPyjN0mDQZMGprgF/h0JEFBKq2w2YlcLVkWDGhMQPSrPiAIB1JEREHiClRHWHAbPY8hvUmJD4wayUGESoFExIiIg8oKXXiN4hM4pZPxLUpkxIhBDPCSE6hBCV43zs+0IIKYRItv9ZCCH+KISoEUIcFkIsGXPvRiFEtf3XRs9+GsFFpVRgbkYcW3+JiDzg89ouAMCKwiQ/R0LT4cwKyQsA1p15UQiRA+AyAI1jLq8HMNv+6x4AT9nvTQTwEIAVAJYDeEgIkTCdwINdaWYcKlt6ISULW4mIpmNnTSeSosMxJ41D0YLZlAmJlPITAN3jfOi/ADwAYOx31A0AXpI2uwDECyEyAKwFsEVK2S2l1APYgnGSnJmkLEuDfuMIGrsH/R0KEVHQklJiZ20XVhYlQaEQ/g6HpsGtGhIhxAYAzVLKQ2d8KAtA05g/a+3XJro+Y5VmcWIrEdF01XUOoK3PiFVF3K4Jdi4nJEKIKAA/AfBvng8HEELcI4TYJ4TYp9PpvPEWAWF2WgzClAKVHJBGROS2nfb6kXOLkv0cCU2XOyskRQAKABwSQtQDyAawXwiRDqAZQM6Ye7Pt1ya6fhYp5dNSynIpZXlKSoob4QWHCJUSc9Jj2WlDRDQNn9d2IlOjRl5SlL9DoWlyOSGRUh6RUqZKKfOllPmwbb8skVK2AXgXwB32bpuVAHqllK0APgBwmRAiwV7Mepn92oxWmqlBZTMLW4mI3GG1Snxe24VVs5IhBOtHgp0zbb+vAvgcwBwhhFYI8ZVJbn8PQB2AGgD/C+D/AYCUshvAIwD22n/9wn5tRpufpYF+0IyWXqO/QyEiCjpVbX3QD5pZPxIiVFPdIKW8ZYqP54/5vQTwjQnuew7Acy7GF9LK7IWtR7S9yIqP9HM0RETBZWeNrX5kFetHQgIntfrR3PRYKBWCJ/8SEblhZ20nClOika5R+zsU8gAmJH6kDlNidmoMjrCwlYjIJWaLFXtOdXO7JoQwIfGz0iwWthIRueqwtgcDJgvbfUMIExI/K82MQ6fBhI7+YX+HQkQUNBz1Iyt5fk3IYELiZ6VjCluJiMg5O2u7MC8jDgnR4f4OhTyECYmflWTEQQhwYisRkZOMZgsqGvU4dxZXR0IJExI/i45QoSglhmfaEBE5qaJBD9OIle2+IYYJSQAozYzjCHkiIid9VtMJlUJgWUGiv0MhD2JCEgBKszRo6zNCx8JWIqIp7W/UY36WBjERU872pCDChCQAOApbOSCNiGhyUkoca+nD/Mw4f4dCHsaEJADMs/+P5eq2jdUq0d5nhH7A5I2wiIgCTnPPEPqMI5iXwYQk1HC9KwDEqcOQnxQ1ZWGr0WzBr96rQo3OgGb9EFp6jDBZrEiJjcCnD1wEdZjSRxETEflHVWs/gC9+kKPQwRWSAFGapZlyhPxnNZ148fMG6AfMKM3S4K7z8nHfhUXQ9Q/j74dafBQpEZH/HGvpgxC2s8AotHCFJECUZmmw+XArugzDSIqJGPeevfV6qBQCb963CpHhttUQKSW2VbXjhZ31uGFpNoQQvgybZjApJeq7BrGjWodTnYP49iWzoYkM83dYFOKOtfaiICkaUeH89hVq+F80QJTnJQAA9tZ3Y11pxrj3VDR0ozRLM5qMAIAQAneuKsBP3j6CfQ16LMtnGxx5186aTrx7qAWfVneiuWdo9PphbQ9e/sqK074+iTytqrUfZdkaf4dBXsAtmwCxIDsekWFK7KrrHvfjwyMWHNL2jiYuY12zOBOayDC88Fm9V2O0WCWueeIzPLfjlFffhwKXacSKu1/ci38caUVZlgaPXFOK7T+4EE/etgT7G/W47y8VMI1Y/R1mSOsdNOPZHafQZzT7OxSf6zOa0dg9yILWEMUVkgARrlKgPD8Bu+q6xv14ZXMvTCNWlOefnZBEhatw07IcPLvjFFp6hpAZH+mVGD8+2YGDTT3Q9Q/jzlX5UCi4PTTTVLb0wmi24g83LTptJS8/ORr/eW0ZHnzrCL73xkE8fvNiKPn1MaXX9zaivmsQSiGgUAgohYAmUoVrF2dDE3X29teeU934zmsH0NJrRPfAMH64dq4fovaf446CViYkIYkJSQBZWZiERz84MW4dyb56PQBgad74WzK3r8zDM5/W4f92NeCBdd75R+qV3U0QwtZ2t7O2C+fN5tjmmabC/nW4ZJyVupuX56J3yIxf/fM4NJFh+OU1paxpmkT3gAk/evMIHHmbVX7xscc+PImNq/LwlfMKkRgdjhGLFX/cVo3//qgGuYlRWJqXgL/sbsQ3L5o9o7bIqlptnYjssAlNTEgCiOMY7T2nurG+7PQ6kn0NeuQnRSEldvyC15zEKFxSkoZX9zTi/jWzPd4C3NZrxL+Ot+OuVQXYVNGETRVNTEhmoH0N3chNjEJqrHrcj997QRF6hsx4anst0uPU+Naa2T6OMHg45g7931dWYNUs2/9LVqvE8bZ+PPFRDZ7cXovnP6vHbStyUdGgx/7GHtywNBsPXz0fR5t7cdPTu/DWAS1uW5Hnz0/Dp4619CExOhypE/w7SMGNNSQBZEG2BlHhyrO2baSUqGjQT7g64nDnufnQD5rxrhdagN/Y1wSrBDauysOGRVn4Z2XbjNzDnslsX4c949YxjfXA2jm4aE4KXt7VACnlpPfOZI42//lZXxRoKhQC8zLj8MRtS/Dhd1bj0nlpeHbHKVS3G/DHWxbjsRsXIiZCheUFiSjNisNzO07Bap05f8fHWvswLyOOK28higlJAAlTKlCen4jPz0hI6joH0D1gwrJx6kfGOqcwCXPSYvHCZ/Ue/UZgsUq8vrcJ581KRl5SNG5Ymo3hESs2H2r12HtQ4GvsHkSnYRhLp/g6FEJgTUkaOvqH0dg96KPogk9lcy9yE6MmbJWenRaLx29ejB0/uhifPHARrl6YOfoxIQS+cl4BanUD+Lha56uQp8VotuCXm4/hRFu/W68fsVhxor2f2zUhjAlJgFlZmIiT7QZ0Gr44aM+xbz9eQetYQghsXJWPY6192Gt/jSd8Uq1Dc88QblmeC8C2klOcFoNNFU0eew8KfF/UMU3+dQhgtP3ck1+HoeZIcy/KsqZuX82Mj0RCdPhZ168oy0RqbETQdL29vrcJz+w4hXtf3gfD8IjLr6/rHIBpxIqSDA5EC1VMSALM2DoSh30N3YiPCkNhcsyUr792cRZi1Sq8tqfRYzG9tqcRSdHhuHReGgBb4nPD0mzsb+xBTYfBY+9DgW1fgx6xahWKU6f+hjA7NQaayDDsqx+/jT2YvXOgGcv+Yyt6Bt0/Q0o/YIJWPzR6sKY7wlUKbFyVj0+rO91edfCV4RELntpei4LkaDR2D+Ln71S6/IxjLfaC1gzOIAlVTEgCTFmWBtHhSnxe+8W2zb56PcrzEpxqs40MV2J9aTo+PNYOo9ky7Xg6+ozYWtWBG8qzEa764svlmsVZUCoENlVo3XrugUY9frn5mEdiJN/Y36DHklznvg4VCoHyvATsDbGEREqJ//6oBrr+Yby1v9nt51TaT/Z2ZoVkMrcuz4U6TBHwqyRv7NOirc+IRzaU4ttrivH2gWa86eK/HVWtfQhXKVCYEu2lKMnfmJAEGEcdiaOwtcswjLrOgSkLWse6amEmDMMj+Oh4x7Tj+WuFFharxM3Lck+7nhqrxkVzUvD2AdvHXSGlxMN/P4ZndpzC/a8ewIiFg7QCXe+QGSc7+qcsaB2rPD8RtboBdI3Zfgx2n9V0oabDAHWYAq/tbXS7VstxkGZp1vTqIRKiw3Hdkmy8fbA5YP+eTSNWPPVRDZbkxuPcWUn45sWzsLwgET//WyXqdM6vsB5r7cOctFiEKfltK1Txv2wAWlmYhOoOA3T9w6hocK5+ZKxzCpOQHBM+7W4bq1Xi1T2NWFWUhILks38quWFpNtr7hvGJi0V1+xt7cKipB+cUJuHDY+144M3DM6pTIBjtb9RDSufqRxwcRdj7GkKnjuSFnfVIjA7HTy4vwcl2A/Y39rj1nMrmXuQkRiI+6uzaEFfdfW4BTCNW/GW357ZpPWlThRYtvUZ8+5JiCCGgVAg8fvMihKsU+NarBzA8MvUqqZQSx1r6WD8S4piQBKBzimx1JLtPdWFfgx7hSoVLS7sqpQJXlGXgX8c70D+N1twdNZ3Q6r8oZj3TxXPTkBAVhk37XFt6fW7HKcSpVXhmYzm+d2kx3trfjF9sPsYW0QBWUa+HUiGwKDfe6deUZWsQrlKETB1JY9cgth1vx63Lc3H9kmxEhyvdrtU60tyL0kzP1ELMSo3BhXNS8MLO+mnVtXiD2WLFEx/VYGFOPFaPmVuUoYnEb69fgKMtffj1P49P+Rxd/zC6Bkyc0BrimJAEoNLMOMREqLCrrgv76rtRlq1xedDZVQszMTxixZZj7W7HsflwC+LUKlw2P23cj4erFNiwKAtbjrWjut25ojqtfhD/rGzFLctzER2hwrcunoWvnFeAF3bW4w9bq92OlbyrokGPeRlxLp2wGqFSYlF2fMh02ry8qx4KIfDllXmIjlDh6kWZ2Hy41eWkv3fQdh7LdApaz/TA2rnoGzLjkc1VHnumJ7y1X4vmniF8Z83ss2aHXDY/HXeuysfzn9Xj2SlqYI6OTmhlQWsoY0ISgFRKBZblJ+CTk52obO5zad/eYUluArLiI6e1bbOrrhsrC5MQoZo4Gbrr3HzERYbh2id3YlvV1MnPy583QAiBO1blA7B17PzsihLcuDQbj2+rxl/3sZU40JgtVhxs6nFpu8ahPD8Blc29GDIFd/HywPAIXtvbhPWl6UjX2KbU3rwsF0NmC/520LX/xzxV0DrWvMw4fP2CIry5X4vtJ6ZfO+YJZosV//1RDRZka3DhnJRx7/nZFSVYX5qORzYfw8u7GiZ8lqPDZi63bEIaE5IAtbIwCY3dgzBZrCjPd76g1UGhELhyYQZ2VHeie8D1ZdzmniE0dg+OtiFPJC8pGu9+81zkJ0fhqy/tw1PbayfcehkYHsErexqxrjQdWWMOABRC4FfXlWFOWqzbXTvkPVWtfRgyW9xKSJblJ2LEKnGgKbhXSd4+0Ix+4wjutCfSgG0eT0lGHF7b69q2jWNkvCcTEgD41ppZKEqJxk/frnRrzoenvXOgGU3dQ7j/4rNXRxxUSgUev3kx1sxNxc/fqcQbe8f/gaSqtQ85iZGIU48/RI5CAxOSADU2EXDnGwEAXL0wEyNWiX9Wuj5Rdbe9y2eqhASwDW76672rcEVZBn7z/nF85/WD47bzvrlfi37jCO4+t+Csj6mUCpw/OxkHmnrYChxg9jk5mG88S/ISIMQXzwhGUkq8uLMepVlxp/2/KITALctzUNncN5pkOONIcy+yJhh2Nh0RKiV+e8NCtPQO4TdO1GV428u7GjA3PRZrSlInvS9cpcATty3B+bOT8aO3DuNvB89up3aMjKfQxoQkQM3PjENshAqFKdFIdPMfrnkZcShMica7Li4pA8Duum5oIsMwN925JdLIcCX+dMti/HDtHLx7qAVX//eO04a7Wa0Sz39Wj0U58RMmWMsLEmEaseKw1vl/3Mn7Khr1yIqPRIYmcuqbz6CJDMOctNignkeys7YL1R0G3Lmq4Kyf9DcsyoI6TIFXXShurXRyQqs7luYl4M5V+Xh5V8PoDxX+0NwzhMPaXlyzOMupc2fUYUo8fXs5VhQk4ntvHMIv/n4Mbx/Qoqq1D71DZpzqHEAJE5KQx4QkQKmUCty/Zja+vrrI7WcIIXD1wkzsqe9GW6/RpdfuOtWF5QWJTg3BGvt+37hoFp67cxkGhi340p8/x/feOAhd/zA+OtGBU50DuPu8s1dHHJYXJEII+PUfUjqdlBIV9Xq3V+kA27bN/gZ90M6bef4zW6vvlQsyzvqYJjIMl5dl4G8HWzBo+mKbpHvAhENNPWdtX/YZzajvGkRZtveKM3+4dg5yEiPx4FtH/Lba+EFlGwBg7fx0p18TGa7EsxuX2Q9mrMd3Xz+E9Y9/isW/+BBSgiskM4DzJfPkc19bXTjtZ1y9MBN/2FqNzYdb8NXznXteS88QGroGccc5+W6950VzUrHle6vxxEc1ePqTOmw52o6kmHBkaNRYXzrxP1DxUeGYkxaL3ae68S233pk8rblnCG19xmklJOX5CXh5VwOOt/V7tLPEF3T9w9h2vB33XVA0YafbLctz8db+Zjyw6TBMI1YcbelDc88QAFvR5tj/7xxbO/O9eEBcVLgKv75uAW57Zjee3XEK37holtfeayIfHG3DnLTYcecXTSY6QoVnNi6D2WJFnW4Ax9v6cLytH90GE1bNSp76ARTUuEIS4gpTYlCaFYe/u9Bts/uUo37E9WJah6hwFX64di7e/85qLMqNR33XIO5clT/llMUVBYmoaNDDHKQ/TYcax2C+6a6QAAjKbZuPjndASuDKBZkT3lOel4CSjDhsPtyK6g4DluQl4Mfr5+L82cl49IMTp00j9VZB65nOnZWM5QWJ49ZjeFunYRh767uxdpIfPqYSplRgTnosNizKwo/WzcVvbliAmAj+/BzqmJDMAFctyMQhbS+anDwKfnddN+LUKsxNn/5PcUUpMXjp7uV47/7z8TUnVmhWFCZhyGzBEReKBMk7jGYLnvn0FOKjnK8lGk9mfCSy4iODsrB1S1U7suIjJ50QKoTAm/edgyMPX4aPfnAh/nTLYtx7QREeu3EhIlQK/HDT4dHjFSqb+5CpUSMpJsLrsa8vTcfJdgNqXRjP7glbj7XDKoF1LmzXEAFMSGaENSW2wWYfn3RuxPuuui4sL0iC0oX6kckIITAvM86pepTlBbafpscWxJLvSSnxwKbDqGzpxWM3LIRqmueHLMu3HbQXTNN4jWYLPq3WYU1J6pSFmVHhKsSe0ZKaFqfGw1fPR0WDHs9/Zhv8Vdnc67Ntq3X2FYr37fUcvvL+0TbkJE6exBGNhwnJDFCUEo2s+Eh84kRC0to7hPquwWlt10xHckwEilKiWdjqZ09ur8W7h1rww7VzcMm88Sf1uqI8PxEd/cNodHKVLhB8VtMJo9mKS0rc//yvXZyFNXNT8egHJ3BE24u6zgGvb9c4ZGgisSgnHu8dcb3t3119RjN21nRh3fx0p7priMZiQjIDCCGwujgZO2u7pqzN2F1nW5lwZv6It6woTMK+er3LpwiTZ2w51o7HPjyBDYsycd8F7nd5jeWoI/mkutMjz5vKgUY9Hth0aFpdJlurOhATocKKaSTnQgj853VliFApcPeLewEApV7ssDnT5WXpONrSh8Yu3ySCHx3vgMliHV2dIXIFE5IZYvXsFBiGR3BgitNJd9V1IVat8mvP/4qCRPQPj6DKfn4F+c6Jtn5857UDKMvS4DfXL/DYT7nFaTGYnxmH5z875ZOTnX/z/nG8sU+L3314YtL7JtpCsloltlW1Y3Vx8qRHJzgjLU6Nh66aD13/MAB47FA9Z6wvtbUqv3/UN6skHxxtQ0psBBbnuF8ETTMXE5IZYtWsZCgVYsptm92nurGiINFj9SPuWFFgW53ZxW0bn9IPmPDVl/YiOkKFp28vd/lAx8kIIXDP6kLU6Qaw7bh3z1qp6TBgV1030uIi8MyOUxPWI71f2YZzfvUv7G88u9j2SHMvOvqHp7VdM9Z1S7Jw6bw0FKZEIyXW+wWtDjmJUZifGYd/+qCOxGi24KPjOlw2L82l+UVEDkxIZghNZBgW5cTjk+qJE5K2XiNOdQ74dbsGANI1auQlRWE3C1t9xmyx4v/9ZT/a+4bx59uXjh4g50lXlGUgKz4ST39S6/Fnj/XqnkaoFAJv3HsOshMi8YO/HsLAGWe77KztxP2vHkBbnxH/9rfKs7YHt1a1QyFsM3U8QQiBJ29bgne/eZ5HnueK9aXpONDYg9beIa++z6fVnRgyW7hdQ25jQjKDrJ6dgiPNvRMetvfF/BH/JiQAsDw/EXvruz22vN/RbwyIA8cC1S83H8PndV349XVlWJzrneV2lVKBr5xXgL31+tH5Jp5mNFuwqUKLtaXpyEuKxmM3LESTfhC/HnO2S2VzL+55qQJ5SVH4xYb5qGzuO+uU6a1VHSjPS/ToeTNhSoVfZmmsc2zbeHmV5P3KNsSpVQHx7wcFJyYkM8jq4mRICXw6wSpJINSPOKwoTELPoBknO/qn/SwpJa5/aifueWlfULWd+sprexrx4ucN+Nr5BbhuSbZX3+umZTnQRIZ5bZXkvSOt6B0y47YVuQBsX0d3n1uAl3c1YEd1J051DmDjc3ugiQzDS19ZjttX5mFZfgIe/eAEeofMAACtfhBVrX24ZJ5nVkf8bVZqDIrTYry6bWO2WLG1qh2XlKRNOfyQaCL8yplBFmTHIz4qDJ+cHL/TYXddN5bn+7d+xGGFB+eRnGjvR1P3EHbWduHDY+3Tfl4wGjJZ8M6BZjR0DZx2fW99N37+t0qsLk7Bg+tLvB5HdIQKX16Ziw+PtZ82wdRT/rK7EYXJ0ThnzE/pP1w7B4Up0Xhg0yHc/uxuSAAvf2U5MjSREELgoavmo3vQhD9uqwYAbKuy1bh4qn4kEKwrzcDe+u7RwlpP21Hdid4h87SmsxIxIZlBlAqB82Yl49Nq3VkrBTUdBtQFQP2IQ3ZCJDI16tE25On4+IRu9Jm/eq8KppGZN5b+/3Y14DuvH8QFj27Hxb/bjkc2H8P7lW247/8qkJ0QhT/dvNhniejGVfkIUyjwzI5THn3u8bY+VDToceuK3NO6g9RhSvz+S4vQ1meEfsCEF+9ajsKUmNGPl2ZpcPOyHLy4sx41Hf3YWtWOwuTo0+4JdutL0yEl8OExz6+SSCnx+LZqZGrUuHBOisefTzMHE5IZZnVxCjr6h3G87YutENOIFd99/SA0kWG4auHEZ3b4khACKwqTsPtU17S3Wbaf0GFueiweuaYU9V2DeOnzeo/EGEy2VLVjVmoMHr5qHrITovDy5w34+v9VYNhsxf/eUQ5NVNjUD/GQ1Fg1rluShU0VWnQaPPcT+yu7GxGuUuD6cbadFuXE49mNy/D6veeMe9LuDy6bg8hwJX7ydiV21XV5ZBhcIJmbHov8pCiv1JFsq+rAwaYe3L9m9rRbpGlmY0Iyw6yebfsJZmz77+8+PIEjzb34zfVlXumucNfygkR0GkzYNY1VEsPwCPY1dOOCOSm4aE4qVhen4PFt1RMW9oYi/YAJ++q7sW5+Ou48twAv3b0cBx+6FM9uLMdr967ErFTfrwR89fxCmEaseGlnvUeeN2gawdv7m3FFWcaEhagXzU2dcGx7UkwEvnNJMfac6obZIkNquwawJfjrSjOws7bLo1/7VqvEYx+eQF5SFK5f6t36Iwp9TEhmmHSNGnPSYkfbf3dUd+LPn9ThluW5o9X4geLysgzkJUXhm6/sd3vS5Oe1XTBbJC4otiViP7uiBIMmC/5ry0lPhhrQtp/sgFXitJ/6o8JVWFOShvk+HNI11qzUGFxSkoaXdzW43El1tKUXr+1pxMn2/tHX/v1QC/qHR0aLWd1xxzl5mJUag4SoMCzJjXf7OYHq6oWZsFglNh92/uTvqbxX2Yrjbf347iXFLGalaeN5zjPQ6uJkvLizAVr9IL77xkHMSo3Bv105z99hnUUTGYbn71yGa5/cibte2IO37jvX5a2Fj092IDpcifI8W5FsfScpEgAAGbpJREFUcVosbl2ei1f2NOKOc/IwOy30DwDbWtWBlNgILPDRGSrOuqQkFVur2tHcM4ScxCinX/fApsM42mKb4quJDMPSvATU6gyYkxaLpXnutyyHKRV4/s5l6Bk0T/swwUA0LzMO8zLisKlCizvOyZ/280YsVvx+y0kUp8UEzFYvBbfQ+7+OprS6OAUmixU3P70LvYNm/PHmxYgMD8y938KUGPz59qVo7B7EfX+pcKkgVUqJ7Sd0WDUrGeGqL77Uv3tpMaLClfjlP6q8EXJAMY1Y8ckJHS6ekxpw0zMdyeDJdudbu+s7B3C0pQ9fv6AIj924EOtL09HQNYCGrkHcfV7+tEfd5yRGjVtjEipuWJqNw9penGibfjv92weaUacbwPcuLQ6IzjwKfkxIZqBl+YlQhymg1Q/hwfVzMS/T/3NHJrOyMAm/vm4BdtZ24WfvHHG6yLWucwBa/dDodo1DYnQ47r94Nj4+qfPagK5Asbe+G/3DI1hTEngzNRy1K9Udzrf//sN+cu3t5+ThhqXZ+PX1C7Dt+xfi+CPr8KXyHK/EGUo2LMqESiHw5n7ttJ5jGrHi8W3VKMvSYO18tvqSZzAhmYHUYUpcuzgbVy3MxF3n5vs7HKdcvzQb9188C2/s0+LpT+qceo2j3ffMhAQAblqeA6VCYFtVaM8l2VrVjnCVAufNTvZ3KGfRRIYhLS4C1e0uJCSHW7EkNx5Z8ZGnXVeHKXncvROSYiJw8dxUvLW/GSNTnPw9mdf3NkKrH8L3Lyvm3zt5DBOSGepX15XhT7csDqp/TL57aTEunpuKJ7fXOvWP6faTOhSmRI9bnxCnDkN5XgI+OjH5YYPBTEqJbVUdOLcoCVHhgVkuVpwWi2onp/HW6Qw41tqHKxawXmE6bliajU7D8KTnWo1HSonD2h78+K3D+M/3jmNZfsK4yT6Ru5iQUNAQQuDGpdnoHTJj3xRbLUazBbvrunBh8cRbFRfOSUVVax/aeo2eDjUg1HQY0Ng9iDUB3MI6KzUGNR0Gpzpt3rNv11xexi2C6bhobiqSosOxqcK5bZshkwUv72rAFX/cgav/+zO8faAZVy7IwH/dtCiofqChwMeEhILK+cUpCFcqsHWKEfC76rowPGLFBZNMjrxoru1jH5/s8GiMgWKrfQR6INaPOMxOjcWgyYIWJ06i3Xy4FUvzEpChiZzyXppYmFKBDYuysPVYB/RTzCQxW6z42kv78PN3KiEBPLJhPvb89BI8euNCZCc43xlF5AwmJBRUYiJUWFmUhK1V7ZMWt358UocIlWL0TJzxzEmLRYZGjY+Oh+a2zbaqdpRmxQX0N/DiNHth6xR1JLU6A4639eOKssCalROsbliaDZPFincPTT6T5Jebj2FHTSd+fV0Z3rv/PNx+Tj7i1L6b6kszy5QJiRDiOSFEhxCicsy1R4UQx4UQh4UQbwsh4sd87MdCiBohxAkhxNox19fZr9UIIR70/KdCM8WlJamo7xpErW5gwns+PqHDysIkqMMmbmcWQuDCOanYUdMZcufbdBmGsb9RjzVzA3e7BhjbaTN5Hcl7hx3bNUxIPGHsTJKJ/GV3w+gp0Dcvz+X2DHmdMyskLwBYd8a1LQBKpZQLAJwE8GMAEELMA3AzgPn21zwphFAKIZQAngCwHsA8AP+/vTuPrrK+8zj+/iYhIZAFQhIEWYIQkKVuICqiR0UdrRy11dq6tbZO7b6M7WntcabLGZ2p7ZxO29HWOtrOHFtx3Fqt1r3WXRRlkZ0gEpaQQAIkJEBI+M4fzxMa9uTmuffJvfm8zrmHm+fe57nfL0/uzff+nt9ydfhckW47L+wTcbgRMtX1LXywpblLC32dM6GMHbvbMm7470srNgezs/bi/iMAgwbkUlaYx8qjtJA89X4Np1YM7lVLG6S7K6eO4P0N21m+qfGgx95cXc8PHl/CORNSswq0CHShIHH3V4CGA7Y95+5t4Y9vAR2LGFwGPOjuu919DVAFTA9vVe7+gbu3Ag+GzxXptmMH5TNpWBEvHKYgeT7c3pURAGeOK6VftvG3FZnVj+TFZbUMLcpjyrG9e44ZCC7bHGkukqq6JpZvalLrSMQ65iT56TMreHFZLXWNQefu6vpgEsLRQwbwy6tTtwq0SBRjAT8H/F94/1iCAqXD+nAbwLoDtp8WwWtLH3X+pKHc+ddgkbySTouptbS28ZuXVzNt9GDGlA486nEK8nKYPqaEl1bU8b2P7v9N0N354/wNLN3YSENzKw0trTQ0t1Kc34+ff/IkhhTkRZ5XFNyd11ZtYfaJw9Kimb2yvJCH563D3Q8Z71OLNmEGF/eytZbS3ZCCPD57ZgX3vraGF5cHBXl5YfA77Q73feZU9ReRlOpRp1YzuxVoA/4QTThgZjeZ2Twzm7d5c2Z2NpSeO39iOXsdXlq+f8vG717/kLqm3dxy8fFd/mN87oRyVtbuYMO2/Ud6PDRvHTc/tJDfz13L3DUN1O9oZfCAXOauaeCrD8zv0cRSyVTXtJum3W1MHNb7W0cg6EfS3NrOxsMMv/7L+zWcOrpEl2uS4NZLJrH4h//Aw188g+/PnsTMcaVUlA7kN9dPpaILBb1IlBJuITGzG4DZwCz/+3CHDUDn+ZtHhNs4wvb9uPs9wD0A06ZN694yoNJnTBlezNCiPF5cXrtv2fOG5lbu/ttqzp84lGkVhx9dc6BzJpRx21PL+NuKOq49bTQQzOHxwyeWcua4Idz/udP2Wwfm0XfX862HF/Ljp5fzz71wUcLqhmBl5FHdWLAuTuPDNW1W1TYdNANrVV0TK2qb+NGlk+MIrU8YmJfDqRUlnNqN94xIMiTUQmJmFwHfAS51987rwj8BfMrM8sxsDFAJvA28A1Sa2RgzyyXo+PpEz0KXviwryzjv+KG8snILu9vaAbjrpSqaW9v4zkUTunWssWUFjBicv2/476497Xxtznzyc7P52VUnHbQo3RVTR3DDjKCp+/EFh6yrY7W2PnhLjh6SHt9wK8ORNlWH6Efy54U14eUaTYYmkum6Mux3DvAmMMHM1pvZjcCdQCHwvJktMLO7Adx9CfAQsBR4BviKu7eHHWC/CjwLLAMeCp8rkrALJpWzY3cbcz9oYP3WFu5/cy1XTh2x7xt3V5kZ504o543VQXFzxzPLWVbTyE+vPIGhRYe+THDrJROZXlHCdx9dxJKN26NIJzLV9c1kGQe1NvRWgwfmUlqQe9Cqv+7Ok4s2Mr2ihPLDnAcRyRxdGWVztbsPc/d+7j7C3e9z93HuPtLdTwpvX+z0/Nvdfay7T3D3pztt/4u7jw8fuz1ZCUnfMWNsKf37ZfHislp+9vxKMPjm+eMTOta5x5fR0trOHU+v4Hevf8gNMyqOOOV6v+ws7rr2FAbl5/KF+9896oyXqbS2oYXhg/LJzUmfeQ8rywsPGmmzfFMTqzc3M/tErV0j0hekzyeWyAH698vmrMoy/rRgI3+cv4HPzqhgeIKtAmccV0puTha/fX0NE4cVccvFxx91n7LCPO6+fip1jbv5t78sS+h1k2FtfQujh6RH/5EOlUMLqKrdsd/su08u2kiWLteI9BkqSCStXTBxKNt37qEwL4cvnTM24ePk52YzY+wQ8vtl819Xn3zEGV47O2nkIC45YRgvLq/r0gJxqVDd0MKokvToP9KhsryApt1tbArnwnB3nlpUw4yxpZT20uHVIhItFSSS1s6bWE5+v2y+PquSQQNyj77DEfz7xz/CY1+esW868646q7KUhuZWltYcPONlqjXt2kNDc2satpB0jLQJLtss2djIh/UtzD5Bc4+I9BUqSCStlRbk8fats7hx5pgeH2tYcX5Cc3fMHFcKwKurtvQ4hp7aN8ImTYb8dugYadPRsfXPizaSk2VcpMs1In2GChJJe4X9+8U6I2l5UX+OP6aQV1fFP5HfvjlI0qyFZEhBHiUDc6mq27Hvcs3MytIet3qJSPpQQSISgbMqS5n34VZ2trbHGkdHC0m6TIrWWWV5sKbNgnXbWL91J7NP0Ogakb5EBYlIBGZWltHavpe5a+pjjaO6oZmSgbkUpuEaJJVDC1hZ28STi2rIzc7igkm9e6ViEYmWChKRCEyvKCE3J4vXetCPZGVtE995ZCF7erBGztr6lrRsHYFgLpKmXW08PG8dZ48vpTg//YoqEUmcChKRCOTnZjO9oqRHHVt/8eIqHpq3nqUbEx+tk45zkHSoHBp0bG3c1abLNSJ9kAoSkYjMrCxlRW0TtY2HXrX2SLbs2M1zSzYBwZDXRLS27aVm+860G2HTobI8GPqbl5PF+bpcI9LnqCARichZlcHw30Qu2zw8bz172p3cnCyW1iS2Ns76rS3sdRiVJovqHai0IJeywjxmTSynIC/hhchFJE3pXS8SkYnHFDFkYC6vrtrMFVNHdHm/vXudOW9Xc9qYEpzEW0jWNnSs8pueLSRmxpzPn07JQA31FemL1EIiEpGsLGNmZSmvVdV3axr516q2UN3QwjWnjWLy8CKW1zTRnsA09NVpOilaZ+PKC1SQiPRRKkhEInRWZRlbduxm+aamLu/zwNxqSgbmctGUY5g8vJide9pZs6W526+9tr6F/H7ZlBVq7RcRST8qSEQi9Pdp5Ls2a2td4y6eX1bLJ6aOIC8nm0nh1PVLNna/H0mwqN6AWGetFRFJlAoSkQgdU9yf8UMLeK2qax1bH5q3jva9ztXTRwHB0Nfc7KyEhv5WNzSn3ZTxIiIdVJCIRGzmuDLmrmlg154jTyPfvteZ8/Y6zhw3hIrSYGRMv+wsxh9T0O2Ore5OdUNLWvcfEZG+TQWJSMTOHl9Ka9tefv7CKtwP3zn1lZWb2bBtJ9dMH73f9snDilla03jEfQ9U17SbXXv2pu0IGxERFSQiETu7soxPThvJ3S+v5ruPLqLtEFPBuzu/f2stpQW5B63ZMml4EQ3NrWzqxgRrHYvqjVQLiYikKc1DIhKxrCzjx1d8hKFFefzyr1XU72jlzmtOIT83G3fn1VVb+M8XVjK/ehtfP28cuTn7fy+YPDzs2LqhkWHF+V16zbX1waic0Wk6KZqIiAoSkSQwM26+cALlRf35/uOLufq/3+LL54zlnlc+YN7arQwv7s/tH5vCVdNGHrTvxGFFmMHSmsYuT6Fe3dBClsGxg7pWwIiI9DYqSESS6LrTR1NakMfXH5zPTfe/y7Di/vzr5VO4alowzPdQBublMGbIwG4N/V1b38LwQfkHtbaIiKQLFSQiSXbRlGN4+AtnsGJTE5edPPywhUhnE4cXsXDdti6/xtqG9F3lV0QE1KlVJCVOHDmIq04d2aViBIJ+JOu37mR7y54uPb+6vplRJeo/IiLpSwWJSC80eXgxEPQjOZrGXXvY2rJHLSQiktZUkIj0Qt2ZQj4TFtUTEVFBItILlRXmUV6Y16Up5DvmING08SKSzlSQiPRSk4cXdemSzdoGzUEiIulPBYlILzV5eDGr6nYcdU2cN1fXM6y4PwV5GjQnIulLBYlILzVpeBHte52VtU2Hfc6i9dt4ddUWPn1GReoCExFJAhUkIr3Uvinkj9CP5K6Xqijqn8N1p49KVVgiIkmhgkSklxo5eACFeTks3nDokTYra5t4dkktN8yooLB/vxRHJyISLRUkIr1UVpZxxtghPPre+kOOtvnVS1UMyM3ms2eOiSE6EZFoqSAR6cVu+9gUBuXnctP989ja3Lpv+9r6Zp5YuJFrTxvF4IG5MUYoIhINFSQivVh5YX9+fd0p1DXu5mtz5tPWvheAu19eTU52Fp8/67iYIxQRiYYKEpFe7uRRg7nt8im8VrWFnzy7gprtO3nk3fVcNW0E5UX94w5PRCQSmrhAJA1cdepI3t+wnXte+YC3Pqhnr8MXzh4bd1giIpFRQSKSJv5l9iSWb2rknQ+3csUpIxiptWtEJIPoko1ImsjNyeJX107l2tNGcfOF4+MOR0QkUmohEUkjZYV53P6xj8QdhohI5NRCIiIiIrFTQSIiIiKxU0EiIiIisVNBIiIiIrFTQSIiIiKxU0EiIiIisVNBIiIiIrFTQSIiIiKxU0EiIiIisVNBIiIiIrFTQSIiIiKxU0EiIiIisVNBIiIiIrEzd487hsMys83A2i48tRjY3s3DJ7IPQCmwJYH9En29VO+XSH6ZnFtPXk+/l9Hsl8m5QWrzy+TcUr1fJucGyf1bMNrdyw7a6u5pfwPuScU+4X7zUhVjTPt1O79Mzi3VcWZybj34P8nY3FKdXybnlur9Mjm3RPNL9LU6bplyyebPKdqnJxJ9vVTvl8rXSofcevJ6+r2Mbr9UvlY65Jbo62VybnHsl8rXyuTcgF5+yaY3MrN57j4t7jiSJZPzU27pKZNzg8zOT7mlrzjyy5QWklS6J+4AkiyT81Nu6SmTc4PMzk+5pa+U56cWEhEREYmdWkhEREQkdn2+IDGzkWb2kpktNbMlZvaNcHuJmT1vZqvCfweH2483szfNbLeZfbvTcfqb2dtmtjA8zo/iyqmzqPLrdLxsM5tvZk+mOpdDxBJZbmb2oZm9b2YLzGxeHPkcEE+UuQ0ys0fMbLmZLTOzM+LI6YCYonrfTQjPWcet0cy+GVdeYUxRnrt/Co+x2MzmmFn/OHLqFE+UuX0jzGtJ3OcsjKe7uV1rZovCz403zOzETse6yMxWmFmVmd0SV06dRZzfb82szswWRxpkT4boZMINGAacEt4vBFYCk4CfALeE228B7gjvlwOnArcD3+50HAMKwvv9gLnA6ZmSX6fj3Qw8ADyZSbkBHwKlceeUpNz+F/jH8H4uMCiT8ut0zGxgE8EcB2mfG3AssAbID39+CLghQ3KbAiwGBgA5wAvAuDTLbQYwOLx/MTC30+/hauC48P22EJgUZ25R5hf+fDZwCrA4yhj7fAuJu9e4+3vh/SZgGcEHwWUEH+SE/14ePqfO3d8B9hxwHHf3HeGP/cJb7B10osoPwMxGAJcA96Yg9KOKMrfeJqrczKyY4MPjvvB5re6+LSVJHEGSzt0sYLW7d2UyxaSJOLccIN/Mcgj+eG9McvhHFGFuEwn+wLW4exvwMvDxFKRwWAnk9oa7bw23vwWMCO9PB6rc/QN3bwUeDI8Rqwjzw91fARqijrHPFySdmVkFcDJB68ZQd68JH9oEDO3C/tlmtgCoA55397lJCjUhPc0P+DnwHWBvMuLriQhyc+A5M3vXzG5KSpAJ6mFuY4DNwO8suNR2r5kNTFasiYjg3HX4FDAn0uB6qCe5ufsG4D+AaqAG2O7uzyUt2G7q4XlbDJxlZkPMbADwUWBkkkLttgRyuxF4Orx/LLCu02Prw229Rg/zSxoVJCEzKwAeBb7p7o2dH/OgjeqorR3u3u7uJxFUktPNbEpSgk1AT/Mzs9lAnbu/m7woExPFuQNmuvspBE2TXzGzs6OPtPsiyC2HoGn11+5+MtBM0CzbK0R07jCzXOBS4OHIg0xQBO+5wQTfXscAw4GBZnZdksLtlp7m5u7LgDuA54BngAVAe3Ki7Z7u5mZm5xL8wf5uyoLsgd6cnwoSwMz6EZygP7j7Y+HmWjMbFj4+jKDVo0vCJvGXgIuijjUREeV3JnCpmX1I0AR5npn9Pkkhd1lU5y78Noq71wF/JGh2jVVEua0H1ndqrXuEoECJXcTvu4uB99y9NvpIuy+i3M4H1rj7ZnffAzxGcF0/VhG+5+5z96nufjawlaBPQ6y6m5uZnUBwCfsyd68PN29g/9aeEeG22EWUX9L0+YLEzIzg+voyd/9Zp4eeAD4T3v8M8PhRjlNmZoPC+/nABcDy6CPunqjyc/fvufsId68gaBr/q7vH+m0twnM30MwKO+4DFxI0KccmwvO2CVhnZhPCTbOApRGH221R5dfJ1fSSyzUR5lYNnG5mA8JjziK47h+bKM+bmZWH/44i6D/yQLTRdk93cwvjfgy43t07F1PvAJVmNiZsuftUeIxYRZhf8njMPX/jvgEzCZqoFhE0Gy4guJ45BHgRWEXQA7wkfP4xBN86G4Ft4f0i4ARgfnicxcD3484tyvwOOOY59I5RNlGdu+MIesIvBJYAt2ZKbuFjJwHzwmP9ibDnfAblNxCoB4rjzisJuf2I4IvNYuB+IC+DcnuVoDheCMxKw/N2L0HLTsdz53U61kcJWnxW94bPkyTkN4egX9Oe8JzeGEWMmqlVREREYtfnL9mIiIhI/FSQiIiISOxUkIiIiEjsVJCIiIhI7FSQiIiISOxUkIhI0phZuwWr8C6xYCXsb5nZET93zKzCzK5JVYwi0juoIBGRZNrp7ie5+2SCyQIvBn5wlH0qABUkIn2M5iERkaQxsx3uXtDp5+MIZrIsBUYTTPbVsdjfV939DTN7i2A12DUEq4/+EvgxwYR8ecBd7v6blCUhIimhgkREkubAgiTctg2YADQBe919l5lVAnPcfZqZnQN8291nh8+/CSh399vMLA94HfiEu69JaTIiklQ5cQcgIn1WP+BOMzuJYKXX8Yd53oXACWZ2ZfhzMVBJ0IIiIhlCBYmIpEx4yaadYEXRHwC1wIkE/dl2HW434Gvu/mxKghSRWKhTq4ikhJmVAXcDd3pwrbgYqHH3vcD1QHb41CagsNOuzwJfCpdOx8zGh6syi0gGUQuJiCRTvpktILg800bQibVj6fNfAY+a2aeBZ4DmcPsioN3MFgL/A/yCYOTNe+ES6puBy1OVgIikhjq1ioiISOx0yUZERERip4JEREREYqeCRERERGKngkRERERip4JEREREYqeCRERERGKngkRERERip4JEREREYvf/HCZE3CjFb0IAAAAASUVORK5CYII=\n","text/plain":["