{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "41b4ea8e", "metadata": {}, "source": [ "#
Forecasting Auto Loan Performance Using ARIMA: Buy Here, Pay Here Car Dealerships" ] }, { "attachments": {}, "cell_type": "markdown", "id": "542be118", "metadata": {}, "source": [ "Business forecasting is a competency that can make or break a firm. Forecasting future sales, profit margins, and cash flows is a key to sustainable operations. Cash flows management can significantly affect the financial performance of buy here, pay here car (BHPH) dealerships. BHPH dealerships typically extend credit to auto buyers who cannot meet credit standards elsewhere. Usually, these buyers have substandard or no credit history. As such, loans tend to have high-interest rates and increased default risks. A cash crunch can cause firms to go out of business. To assess the dealership's future financial health, it is crucial to forecast how well it will collect loan payments from car buyers.\n", "\n", "This notebook develops a forecasting model for a lending firm with the mission to provide funds and loan management to BHPH dealerships. The model predicts the rate of return on car loans extended by a BHPH dealership of used cars in the southeastern US. The resulting model confidently forecasts that the dealership will have higher than its typical performance during at least the next four quarters: 2022Q2-2023Q1." ] }, { "attachments": {}, "cell_type": "markdown", "id": "49fa4e7a", "metadata": {}, "source": [ "# Initial Data Exploration and Observations\n", "The dataset contains 4,104 instances of sold cars between February 11, 2008 and March 22, 2022. The dealership has been selling used cars with a typical age of about nine years and an average price of $14,649. The dealership sold 273 cars in a typical year, with about 78 percent of those financed by the dealership. \n", "\n", "Typically, loans were issued for about three years with an average APR of 28 and a down payment of $1,640. However, payments on loans were made for about a year on average. That is, car buyers did not make payments for the remaining two years. However, the dealership recovered losses on many defaulted loans by repossessing and reselling loaned cars. The percentage of cars in the dataset that were later resold at least once was 40.\n", "\n", "Because my focus is to forecast the rate of return on loans issued by the dealership, I use a subset of the dataset that included only 'BS' and 'BP' values for the typedeal column. The heat map shows that the dataset does not have many missing values, except for the nextpaymentdate column and, to some extent, the lastpaymentdate column. I dropped the nextpaymentdate column because it has too many missing values. To address missing values in the lastpaymentdate column, I dropped the rows with missing cases and kept the column. I also used the lastpaymentdate column as the dataframe's index." ] }, { "cell_type": "code", "execution_count": 1, "id": "179e59c8", "metadata": {}, "outputs": [], "source": [ "#import Python libraries\n", "import pandas as pd \n", "pd.set_option('display.max_rows', None, 'display.max_columns', None, 'display.width', None)\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import matplotlib.style as style\n", "import seaborn as sns\n", "sns.set(rc={'figure.figsize':(17, 4)})\n", "import numpy as np\n", "import datetime\n", "from statsmodels.tsa.statespace.sarimax import SARIMAX\n", "from statsmodels.tsa.stattools import adfuller\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "from math import sqrt\n", "from sklearn.metrics import mean_squared_error" ] }, { "cell_type": "code", "execution_count": 2, "id": "95a7653c", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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accountnoyearmakemodelvinodometersaledatetypedealaprcurrentbalanceamttofinancefirstpayduedatepaymentamountlastpayamountdownnextpaymentdatelastpaymentdatenumberofpaymentspaymenttermspaymentperiodnumbertradinsopenbalancetotalsalepricetotalofpaymentstradeintradeacvtradepayofffinancechargeprincollectedintcollectedsalenoaddresscitystatezip
1014115042003-01-01HONDAODYSSEY EX WAGO5FNRL18613B0272431071882012-02-11BP9.90.008309.582012-03-01146.160.01000.02014-08-012014-12-316565 SEMI-MONTHLYSEMI-MONTHLY110500.4013000.4010500.401500.000.01190.827334.161176.26539512 SPRINGWATER DRNORCROSSGA30093
1758142592008-01-01NissanRogueJN8AS58V38W4121461310412016-09-26BP29.84936.7811115.752016-10-08206.460.0600.02017-07-012017-05-088484 BI-WEEKLYBI-WEEKLY117342.6418942.6417342.641000.000.06226.891186.862160.1415394493 LAWRENCEVILLE HWYTuckerGA30084-
3880169042014-01-01DodgeAvenger1C3CDZCB5EN11736402021-05-17BS29.85148.5411363.382021-06-03221.700.02000.02021-09-092021-08-317878 BI-WEEKLYBI-WEEKLY011363.3819292.6017292.600.000.05929.22552.34966.86511797 TREEVIEW LNLithoniaGA30038-
\n", "
" ], "text/plain": [ " accountno year make model vin \n", "1014 11504 2003-01-01 HONDA ODYSSEY EX WAGO 5FNRL18613B027243 \\\n", "1758 14259 2008-01-01 Nissan Rogue JN8AS58V38W412146 \n", "3880 16904 2014-01-01 Dodge Avenger 1C3CDZCB5EN117364 \n", "\n", " odometer saledate typedeal apr currentbalance amttofinance \n", "1014 107188 2012-02-11 BP 9.9 0.00 8309.58 \\\n", "1758 131041 2016-09-26 BP 29.8 4936.78 11115.75 \n", "3880 0 2021-05-17 BS 29.8 5148.54 11363.38 \n", "\n", " firstpayduedate paymentamount lastpayamount down nextpaymentdate \n", "1014 2012-03-01 146.16 0.0 1000.0 2014-08-01 \\\n", "1758 2016-10-08 206.46 0.0 600.0 2017-07-01 \n", "3880 2021-06-03 221.70 0.0 2000.0 2021-09-09 \n", "\n", " lastpaymentdate numberofpayments paymentterms paymentperiod \n", "1014 2014-12-31 65 65 SEMI-MONTHLY SEMI-MONTHLY \\\n", "1758 2017-05-08 84 84 BI-WEEKLY BI-WEEKLY \n", "3880 2021-08-31 78 78 BI-WEEKLY BI-WEEKLY \n", "\n", " numbertradins openbalance totalsaleprice totalofpayments tradein \n", "1014 1 10500.40 13000.40 10500.40 1500.0 \\\n", "1758 1 17342.64 18942.64 17342.64 1000.0 \n", "3880 0 11363.38 19292.60 17292.60 0.0 \n", "\n", " tradeacv tradepayoff financecharge princollected intcollected \n", "1014 0 0.0 1190.82 7334.16 1176.26 \\\n", "1758 0 0.0 6226.89 1186.86 2160.14 \n", "3880 0 0.0 5929.22 552.34 966.86 \n", "\n", " saleno address city state zip \n", "1014 539 512 SPRINGWATER DR NORCROSS GA 30093 \n", "1758 1539 4493 LAWRENCEVILLE HWY Tucker GA 30084- \n", "3880 5117 97 TREEVIEW LN Lithonia GA 30038- " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#read in the dataset into dataframe and subset it by BS and BP deal types\n", "df = pd.read_csv('data.csv', parse_dates=['Year','SaleDate','FirstPayDueDate', 'NextPaymentDate', 'LastPaymentDate'])\n", "df.columns = df.columns.str.lower()\n", "df = df[(df.typedeal == 'BS') | (df.typedeal == 'BP')]\n", "df.sample(3)" ] }, { "cell_type": "code", "execution_count": 3, "id": "98e8f75a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Index: 3212 entries, 0 to 4103\n", "Data columns (total 35 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 accountno 3207 non-null object \n", " 1 year 3212 non-null datetime64[ns]\n", " 2 make 3212 non-null object \n", " 3 model 3212 non-null object \n", " 4 vin 3212 non-null object \n", " 5 odometer 3212 non-null int64 \n", " 6 saledate 3212 non-null datetime64[ns]\n", " 7 typedeal 3212 non-null object \n", " 8 apr 3212 non-null float64 \n", " 9 currentbalance 3212 non-null float64 \n", " 10 amttofinance 3212 non-null float64 \n", " 11 firstpayduedate 3212 non-null datetime64[ns]\n", " 12 paymentamount 3212 non-null float64 \n", " 13 lastpayamount 3212 non-null float64 \n", " 14 down 3212 non-null float64 \n", " 15 nextpaymentdate 2718 non-null datetime64[ns]\n", " 16 lastpaymentdate 3121 non-null datetime64[ns]\n", " 17 numberofpayments 3212 non-null int64 \n", " 18 paymentterms 3212 non-null object \n", " 19 paymentperiod 3212 non-null object \n", " 20 numbertradins 3212 non-null int64 \n", " 21 openbalance 3212 non-null float64 \n", " 22 totalsaleprice 3212 non-null float64 \n", " 23 totalofpayments 3212 non-null float64 \n", " 24 tradein 3212 non-null float64 \n", " 25 tradeacv 3212 non-null int64 \n", " 26 tradepayoff 3212 non-null float64 \n", " 27 financecharge 3212 non-null float64 \n", " 28 princollected 3207 non-null float64 \n", " 29 intcollected 3207 non-null float64 \n", " 30 saleno 3212 non-null int64 \n", " 31 address 3212 non-null object \n", " 32 city 3212 non-null object \n", " 33 state 3212 non-null object \n", " 34 zip 3212 non-null object \n", "dtypes: datetime64[ns](5), float64(14), int64(5), object(11)\n", "memory usage: 903.4+ KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 4, "id": "685181cf", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create heatmap for missing values\n", "sns.heatmap(df.isnull(), cbar=False)\n", "plt.title('Heatmap of Missing Values', fontsize=20)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "4669bf2a", "metadata": {}, "outputs": [], "source": [ "#drop missing values and set lastpaymentdate as index\n", "df.dropna(subset='lastpaymentdate', inplace=True)\n", "df.drop('nextpaymentdate', axis=1, inplace=True)\n", "df = df.set_index('lastpaymentdate')\n", "df.sort_index(inplace=True)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "214c5ccd", "metadata": {}, "source": [ "# Feature Engineering\n", "To calculate the rate of return, I created a collections column (sum of princollected and intcollected columns) and divided it by the totalofpayments column. To convert the resulting column to a percentage form, I multiplied it by 100. Then, I created a lastpay_year column, which indicates the year when the last payment on a given loan was made.\n", "\n", "Using these new columns, I created a bar plot to depict the average rate of return per sold car across years. The plot reveals that the rate of return was relatively low in 2010 and 2011, then picked up between 2012 and 2015 and stabilized starting in 2016. The rate of return averaged 30% across years.\n", "\n", "To determine the contractual duration of loans, I created a loan_length column using values in the paymentperiod and numberofpayments columns. I used values of the vin column to identify cars that were resold. The dataset indicates that 40 percent of cars were resold again at least once. By taking into account the proceeds from resales, the cumulative rate of return per car sold was 45%." ] }, { "cell_type": "code", "execution_count": 7, "id": "96fcaa89", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#create new features\n", "df['collections'] = df.princollected + df.intcollected \n", "df['return_rate'] = df.collections/ df.totalofpayments * 100\n", "df['lastpay_year'] = df.index.year\n", "\n", "#create bar plot\n", "sns.barplot(x='lastpay_year', y='return_rate', data=df) \n", "plt.title('Rate of Return Averaged 30% (2010-2022)', fontsize=20)\n", "plt.axhline(df.return_rate.mean(), label='mean')\n", "plt.ylabel('')\n", "plt.xlabel('')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "e5d20687", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average annual loan lenght: 3\n" ] } ], "source": [ "#calculate length of loan contract in days\n", "def dur(string):\n", " if string == 'BI-WEEKLY':\n", " return 14\n", " elif string == 'SEMI-MONTHLY':\n", " return 15\n", " elif string == 'MONTHLY':\n", " return 30\n", " elif string == 'WEEKLY':\n", " return 7 \n", "df['loan_length'] = df.paymentperiod.apply(dur)*df.numberofpayments\n", "print(\"Average annual loan lenght: {:.0f}\".format(df.loan_length.mean()/365))" ] }, { "cell_type": "code", "execution_count": 9, "id": "d56fb34e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Percentage of cars that were re-sold at least once: 40\n" ] } ], "source": [ "#calculate percentage of cars that re-sold at least once\n", "print(\"Percentage of cars that were re-sold at least once: {:.0f}\".format((1-df.vin.nunique()/len(df))*100))" ] }, { "cell_type": "code", "execution_count": 10, "id": "b95a189b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cumulative rate of return per car: 45\n" ] } ], "source": [ "#calculate cumulative rate of return \n", "pivot = df.pivot_table(values = ['collections','totalsaleprice'], index='vin', aggfunc=[np.mean, np.sum])\n", "pivot['cum_return_rate'] = pivot[( 'sum', 'collections')] / pivot[('mean', 'totalsaleprice')] *100\n", "print(\"Cumulative rate of return per car: {:.0f}\".format(pivot.cum_return_rate.mean()))" ] }, { "attachments": {}, "cell_type": "markdown", "id": "9fd7cbbf", "metadata": {}, "source": [ "# Forecasting\n", "Quarterly frequency is more meaningful and aligns better with typical business planning than daily frequency. As such, I transformed daily sale transactions to quarterly frequency and used the transformed time series to forecast the future rate of return. I used the Autoregressive Integrated Moving Average (ARIMA) model, one of the go-to time series tools. I followed the Box-Jenkins method, a best-practices framework for using the ARIMA model to go from raw data to a model ready for production. The approach has three main steps: identification, estimation, and model diagnostics." ] }, { "cell_type": "code", "execution_count": 11, "id": "a48e080b", "metadata": {}, "outputs": [], "source": [ "# Create time series with quarterly frequency\n", "return_rate = df.return_rate\n", "qrt = return_rate.groupby(by=[return_rate.index.year, return_rate.index.quarter]).agg('mean')\n", "qrt = qrt.reset_index(0).drop('lastpaymentdate', axis=1)\n", "index = pd.date_range(start='2010-04', end='2022-01', freq='QS')\n", "qrt.index = index\n", "qrt.index = qrt.index.to_period('Q')\n", "qrt.index=qrt.index.to_timestamp('Q')" ] }, { "attachments": {}, "cell_type": "markdown", "id": "ddf70514", "metadata": {}, "source": [ "## Identification\n", "To model time series, it must be stationary. Stationary means that the distribution of the data doesn't change with time. For a times series to be stationary, it must fulfill three criteria: the series has zero trends, the variance is constant, and the autocorrelation is constant. There are two ways to examine if the data is stationary: visual assessment and the augmented Dicky-Fuller test. This is a statistical test with the null hypothesis that your time series is non-stationary due to trends.\n", "\n", "The first plot shows that the series appears non-stationary. Thus, we need to transform the data into a stationary form before modeling it. I take the series difference to make it stationary by subtracting the previous value from each value in the time series. The second plot indicates that the transformed time series appears stationary. The test statistic of - 7.77 and p-value of smaller than 0.05 confirm that the data is stationary and can be used to make forecasts with the ARIMA model." ] }, { "cell_type": "code", "execution_count": 12, "id": "144fb9b6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Plot original time series\n", "qrt.plot().legend('')\n", "plt.title('Original Time Series',fontsize=20)\n", "plt.show()\n", "\n", "#Plot transformed time series\n", "qrt.diff(1).dropna().plot().legend('')\n", "plt.title('Transformed Time Series',fontsize=20)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "76f9fa4b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -7.77\n", "p-value: 8.972545875574345e-12\n" ] } ], "source": [ "# Augmented Dicky-Fuller test\n", "adf = adfuller(qrt.diff(1).dropna().iloc[:,0])\n", "print('ADF Statistic:', round(adf[0],2))\n", "print('p-value:', adf[1])" ] }, { "attachments": {}, "cell_type": "markdown", "id": "74c1ed30", "metadata": {}, "source": [ "## Estimation: Hyperparameter Tuning\n", "Akaike information criterion (AIC) and Bayesian information criterion (BIC) are metrics that tell us how good a model is. A model which makes better predictions is given lower AIC and BIC scores. AIC and BIC penalize complex models with higher order. AIC is better at choosing predictive models, while BIC is better at choosing a good explanatory model.\n", "\n", "To find the best model order, I wrote loops to fit multiple ARIMA models to the time series. I looped over AR and MA orders between zero and two and fit each model. Then, I printed models along with the AIC and BIC scores. Results indicate that the model with the lowest AIC and BIC scores has zero autoregressive lags and two moving average lags." ] }, { "cell_type": "code", "execution_count": 14, "id": "6d4d3f58", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " p q aic bic\n", "2 0 2 358.820944 364.371387\n", "6 2 0 359.143355 364.693797\n", "5 1 2 360.579028 367.979618\n", "1 0 1 360.627000 364.327295\n", "4 1 1 360.742138 366.292581\n", "7 2 1 360.913988 368.314579\n", "3 1 0 361.427987 365.128282\n", "8 2 2 361.956577 371.207315\n", "0 0 0 373.783665 375.633812\n" ] } ], "source": [ "#Searching over AIC and BIC\n", "order_aic_bic =[]\n", "# Loop over AR order\n", "for p in range(3):\n", " # Loop over MA order\n", " for q in range(3):\n", " # Fit model\n", " model = SARIMAX(qrt, order=(p,1,q))\n", " results = model.fit()\n", " # Add order and scores to list\n", " order_aic_bic.append((p, q, results.aic, results.bic))\n", "\n", "# Make DataFrame of model order and AIC/BIC scores\n", "order_df = pd.DataFrame(order_aic_bic, columns=['p','q', 'aic', 'bic'])\n", "\n", "# Sort by AIC\n", "print(order_df.sort_values('aic'))" ] }, { "attachments": {}, "cell_type": "markdown", "id": "1a5324c0", "metadata": {}, "source": [ "## Model Diagnostics\n", "The next step is using standard model diagnostics to confirm that the model is behaving well. To diagnose the model, I focus on the residuals of the training data. The residuals are the difference between the model's one-step-ahead predictions and the actual values of the time series. The residuals should be uncorrelated white Gaussian noise centered on zero for an ideal model. The generated four standard plots seem to indicate that this is so.\n", "\n", "I used previous series values to estimate the next ones to examine in-sample predictions. This allows to evaluate how good the model is. The line plot shows the best estimate prediction marked with the red line, while the uncertainty range is shaded—the uncertainty due to random shock terms that the model cannot predict. The plot shows that the predicted values catch up to the observed values. Thus, predictions seem to align with the ground truth very well. Root Mean Squared Error (RMSE) is also reasonably low. RMSE indicates that the average distance between the predicted values of the return rate from the model and the actual values in the dataset is five." ] }, { "cell_type": "code", "execution_count": 15, "id": "4bc87a20", "metadata": {}, "outputs": [ { "data": { "image/png": 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aBMfHx1tH/D59+jQeHh4888wzdO3a1ZqYm83mEstYtWoVer0evV7P33//XWydlJQUJk6cyLRp06yt8wBhYWFER0dz6NAhAM6ePUv//v1JSkoqVbkl6dq1K+vWrSM5ORkoHIH0+rNRY8eO5ezZs4wYMYL33nuP7OxsUlJSrNu2a9eOixcvEhkZCVDkhOXh4cGFCxfQ6/UYjcYirRu7d+/m2WefZdCgQQCcOHGixLq6Vcy//fYbsixjMBhYunQpnTt3LvX2giAIQs0UGRnJkCFDCA4OZtKkSTz66KOcOnUK+PcaAG5+HmndurW1BxzAxo0byc7OLpKwXbd7926GDx/O6NGjqV+/Ptu2bSvTuawk+/fvtw6QtnjxYnr27FlkuYuLC0aj0Tpa+rp166zL5syZw1dffUWfPn2YMWMGISEhRWasAahfvz5ardaanCckJDBkyBBOnz7NokWLeOONN+jatStTp06la9eunDlzpljdldWePXvo2bMnDz30EM2aNWPLli3Werqx3E6dOrFnzx4uXboEwI4dOxg6dCgFBQV069aNZcuWYbFYyMrKYuvWrSXu62brOTk5ERYWxo8//ggU9hB88MEHb1rOda+88gp///03gwcP5q233sLJyYmYmJgi6/y3bh5++GF++eUXZFmmRYsWd1Bjwr1CtJwLNVr9+vX53//+x9y5c0lMTMTOzg5nZ2fef/99goKCgMIuaOPGjePzzz/nvvvuY+DAgWg0GmvX7Ojo6GJ3gW/01ltv8cYbbzBw4EB8fX2t3d66dOnCsmXLGDBgAJIk0b59ezw8PIiOji5WxtixY4mJiWHIkCG4ubmV2GXsyy+/JC0tjZ9//pnvvvsOAG9vb7799lu++OILPv74Y/R6PbIs8/HHH+Pv71+qckvStWtXJk6cyOOPP44kSTg5OTF//nwkSeLVV1/l/fffZ968eUiSxHPPPYe/v791Ww8PD+bMmcOrr76KWq2mXbt21mVdunShXbt2DBw4EC8vLzp06GDtZv/SSy/x7LPP4uDggJOTE+3atSt2sruVmTNnMmvWLMLDwzEajXTr1o3JkyeXentBEAShZmrUqBEDBw5k5MiRODg4oNVqrQPC9urVi88++wyj0XjT84hGo+Gzzz7jtddeQ6FQ0KxZM1QqlbW19UaPP/44//d//8eyZcuAwhvo58+fv6v4fXx8mDp1KikpKYSEhPDuu+8WWe7s7MzUqVOZOHEiHh4eRXoFTpgwgddff936iFvDhg0ZPHhwke01Gg1fffUVs2fP5rvvvsNkMvHCCy/Qpk0bGjduzMGDBxk0aBD29vbUrl2bcePGAf9eP93JtGRjx47llVdeITw8HJPJRJcuXdi0aRMWi4WwsDD+97//8dxzzzF//nzeffddXn75ZWRZRqVSsWDBAhwdHXn++ed56623GDhwIB4eHtZGl/+61Xpz5szhvffeIzw8HIPBwJAhQxg6dGiR3g7/9cwzzzBjxgyWLFmCUqmkT58+tGvXrsh0rN27d+fDDz8ECgfObdSokbX3oSDciiSXpd+oIAiCIAiCINxDcnNz+eqrr3j++eext7cnIiKCSZMmsWvXrhJbz8vTf2c5EaqnmJgY67z0Jd3UEYTrRMu5IAiCIAiCINyEk5MTarWaUaNGoVKpUKlU1t5jgnA7n3/+OUuXLuWdd94RiblwW6LlXBAEQRAEQRAEQRBsTAwIJwiCIAiCIAiCIAg2JpJzQRAEQRAEQRAEQbAxkZwLgiAIgiAIgiAIgo2J5FwQBEEQBEEQBEEQbKzajdaekZGHxXL3Y9h5ejqRlpZbDhHVfKKuSk/UVemJuio9UVelV9XqSqGQcHd3tHUYNVp5XRfYUlX7vS1P4tiqJ3Fs1ZM4tqrvdtcF1S45t1jkcjsJV/eTeWUSdVV6oq5KT9RV6Ym6Kj1RV/eW8rwusKWacAw3I46tehLHVj2JY6veRLd2QSiFU5fTMJrMtg5DEARBEARBEIQaSiTngnAbCWl5zF16guU7Lts6FEEQBEEQBEEQaiibdGufP38+69evB6BHjx5MmzbNFmEIQqmkZhUAsOXwVbo2r42/t5ONIxIEQRAEQSg9Zxd7tHZlu+z38nKukFgK9CZysnUVUrZgG7Isk5GRgsFQAFRM1/PkZAUWi6VCyi5/EhqNFnd3LyRJKtOWlZ6c7927l927d7Ny5UokSeLJJ59k8+bN9O3bt7JDEYRSyczRA6BUSvy2+TyvPdSqzH9ogiAIgiAItqK1UxH+ympbhwHAmk+HkWPrIIRylZubhSRJ+Pj4I0kV0zFbpVJgMlWP5FyWLWRmppKbm4Wzs1uZtq30bu1eXl68/vrraDQa1Go1wcHBxMfHV3YYglBqGbmFyfmYniGcj81k/5kkG0ckCIIgCIIgCFWDTpeLs7NbhSXm1Y0kKXB2dkenK/vo8pVegw0aNCAsLAyAqKgo1q9fT48ePSo7DEEotcwcPU72anq2rkP92s4s3XYRnd5k67AEQRAEQRAEweYsFjNKZbWbBKxCKZUqLJayDyZts1q8cOECkyZNYtq0adSrV6/U23l6lt/zvhX1LE1FyszRo1JKODloKnW/1bGuyku+wYKXuz0+3i48N6YVr36xk01H4nhyWLMS17+X66qsRF2Vnqir0hN1JQiCIAiVSzzyWdSd1odNkvMjR44wZcoUpk+fzuDBg8u0bVpabrnMcefl5UxKSvV64sVktjBtwV5y8o00qedBu0betAqthaNWXaH7rY51VZ6S0vJwcdSQkpKDu72K7i39WLPrMm0aeOLvVfRm0b1eV2Uh6qr0RF2VXlWrK4VCKtebyoIgCJVPxl2Rh15Wky9rAJGECbd3J4MQlkZpBhRMSIjn+ecnsWzZmiLvd+3alg8//JTIyLM8+eTkErc9c+Y0//yzjWeemVJuMZdFpSfnCQkJPPvss8ydO5dOnTpV9u6rtVOX0sjMNdC2kTdRCdn88PdZlBskmtb3oH1jb8JCvHDQii4l5S0jV09d338vrkf2COZwZDK/bRKDwwmCIAiCULM4SHoCVanUU6ZSV5VCXVUqjgoDAHpZRabFgSyLAxkWxyLfp5mdSLK42TZ4ocqoqEEI73ZAwa5de9C1680fqY6KukJGRvpd7OHuVHom9/3336PX6/nwww+t740dO5YHH3ywskOpdnafSsDFUcOkoU1QSBJRiTkcOpvMocgkvruUhkoZSbP6nrRr7E1YSC3sK+Bu1b3GZLaQk2fAzcnO+p6TvZqR9wXzy4ZzHDiTRMemvjaMUBAEQRAE4c55K7IIVSdQV5VKPVUK3srC1MciQ6LZjZOGQGLNnqgx46bIx02Rh5sin1BVAq4KHQrp3x6tl41ebC5ozhljHUQLu1AV/f33Go4dO8KMGW8zf/48Dh06gEIh0a3bfYwe/SDffbcQnU7Hzz9/z4QJT1R6fJWevc2cOZOZM2dW9m6rvex8AycvpdG3bQBKReE4fvVru1C/tgujewZzOSH7WqKezPGLqXi6aHn/qQ6oVUobR169ZecZkAF3Z7si73dv4ceuE/Es2XaRluJGiCAIgiAI1Yy/Mo3+9idpoYkFINuiJcrkxQF9CNGmWsSYPNFz6zGOFFhwlnS4KfKpp0rlPu0ZJjlvI97kxpaCZhwz1MNS+eNPCwKpqSk8+uhDN12emJjA/v17+e23pRQUFPD++++g0Wh48snJHDt2xCaJOdhwQDihbPZHJGG2yHRuXryVVpIkgv1cCfZzZUyvEPadTuT7dWc5eSmNNg29bRBtzZFxbY7zG1vOofA50kf6NWTWz4dZvfsKY3s3sEV4giAIgiAIZVJXmUJ/+5M01cSRb1GzQdeCA/oQ0i2OlLW124KCLNmRLLMj0WYvdukb0kZzhd7a04x32s0g83G2FTTlgD4EE6LBSKg8tWp58dNPi4q817Vr2yLL7ezsePrpx+ncuRtPP/08dnZ2/y2m0olbWdXEnlMJ1PN1LjYA2X8pJImOTX1wcdSwP0LMx323rifn/205h8KeC93D/Nhy+CpXU8o+j6EgCEJNt2bNGgYNGkS/fv34/fffb7reP//8Q69evSoxMkG49wSpknjaeTMvu66nniqFtflhvJM1kvW6MNItTpRHN3QLCg4Zgvkoeyjf5txHrqxljOMB3nJbTm/taeww3P2BCEI5UKlUfPPNTzz55NNkZWUxefJjxMRE2zos0XJeHcQk5RCbnMsj/UJLtb5SoaB9Y2/+ORZHfoERhwoezb0my8y91nJeQnIOxQeHEwRBEAolJSUxd+5cVqxYgUajYezYsXTo0IGQkJAi66WmpvLRRx/ZKEpBqNlkWcYcf5b4jet4wSWCHIuW1fmt2V3QEAMVd30oI3HaGMhpYwAhqiT62J9iqMNRemkj0EU3Boe6FbZvQSiN8+cjmTv3E7788mvatGnHhQvniImJRqlUYjaXfX7y8iJazquB3ScTUCkl2jf2KfU2nZr6YjLLHD6Xclf7NposGE22+wW1tYxcPUqFhJN9ySew64PDnY/N5MAZ0VNBEAThur1799KxY0fc3NxwcHCgf//+bNiwodh6M2fO5LnnnrNBhIJQs1nyMtBt+Azduo8xpsWzIq8t72SOYFtBswpNzIuSuGjyZWFOX+ZkDSJX1pKw6F0MZ7ZV0v4FoWShoY1o1qwF48c/wOOPP0y9evXp2LEzjRs3JSLiFAsWfGmTuETLeRVnMlvYfyaJsAZeN00QS1LP1xkfd3v2RyTSvaXfHe1blmU+XXwMe3s1L4xscUdlVHeZOXrcnOxQ3GK6tO4t/Nh5vHBwuN4d61VecIIgCFVYcnIyXl5e1tfe3t6cPHmyyDq//PILTZo0oWXLlpUdniDUaMYrR9Dv/BHZZMCu04PU7j6UHa+tL7qSZEFyyEHhlIGkNN22TIvOCUuuGxi1dxRTrLkWc7MH8mW7C+Tv/gVLWix2nR9GUop0pCYq0JtY8+mwCin3dmrX9is2xznA7t2HARg0KByAZ599gWeffaHIOoGBdVmyZNXdB3qHxF9DFXfiYhq5OiNdm9cu03aSJNGxqS9/7b5CRo6+xGemb+dSfDbnr2YBcD42k9AAtzKXUd2Vpu4UColx/QsHh1u8+TzhHQMrKTpBEISqy2KxIN1wY1OW5SKvz58/z6ZNm/jpp59ITEy84/14et56LJbqwsvL2dYhVBhxbJXHYtCRtulHCk5sReMbjPf9L6DxrFO4UGVA4ZR57X8GCscsJKWl7PsosMeS64Yl1x1LjhuyzpnSPq9eIGvwGf0a6f8sImvfKpR5yfiMeAWlo2uZ47gbVe3nVp5scWzJyQpUqqIdsnX5enT5+grZ33/3VVUpFIoy/zxEcl7F7TmVgKuThqb13cu8bcemPqzefYUDZ5IY0KHsCePmQ7E42KlQqxWs2xd9TybnmbkG/L1vf+FXv7YLHZv68vfeK/RsWbtMvRwEQRBqIl9fXw4fPmx9nZKSgrf3vzOIbNiwgZSUFEaOHInRaCQ5OZmHHnqIRYsWlVTcTaWl5WKxyLdfsQrz8nImJSXH1mFUCHFslcecfBndtq+Rs5PRhA1B1XooO5POczpiI9G5sdi3LrwJJlsk5HwXzCkBmHPcr7WG36YRR5KRHLJROGWidM5A6ZKOqlZCYXlmZWGynuOOObUOssH+1kUplFia34/W3oeCHT8Q891U7Pu/iNIzoDyq4baq2s+tPNnq2CwWCyZT2W/0lIVKpajwfZQ3i8VS7OehUEi3vKkskvMqLCuvcG7z/u3/ndu8LHzcHQjyc2F/RGKZk/O0rAKOnEuhf/sAvDwd+eXvs0Qn5lDXt+beaSxJRq6eZkEepVp3YMdA9kUksu3oVYZ2qV/BkQmCIFRtnTt35ssvvyQ9PR17e3s2bdrEe++9Z10+ZcoUpkyZAsDVq1cZP358mRNzQRBAtpgxHF+L4chqJEd3pEEvs0fO5J+Dn5FWkI6jyoGG3sFEnXEubO3OcwVLGac1kyXkPDfMeW6Yk+oBMpJGh8L535Z4VZ2LqOpcwpzugzmpLpbcWzcsqUM6oXDxQbfpC/JXz0LbcyLq+m1vuY0g1HTVo0/APWp/RCIWWaZLGbu036hjEx9iknOJK+NUX9uOXgWgV2t/BnWuj72dknX7bT+9QGXS6U3oDeZSPxLg7+VEm0bebD1yFYPx3h1ETxAEAcDHx4eXXnqJ8ePHc//99zNkyBBatGjBxIkTOXXqlK3DE4QawZKdgm7NhxgOryQruBUbWnXmrUtLWX5hDW52LjzZbBwfdH2T17s9gykhGEuOR9kT8xJJyAYHzGl+GKOboI/ogv5ED0yJ9VC6pmLX5AB2Tfah9EgA6eatnUrvIBxGvI3Cow4Fm+ejP7IKWa5eraOCUJ5Ey3kVJcsyu08lEOTngl8txzsup31jHxZvvcj+M0mM7FG65/L0BjM7jsfTpqEXnq5aHO3V9Grtz9/7oklIy6O2553HU51cn0bN3an0z+uP7NmA6Qv2sPd0Ive1qlNRoVVZsixz8lIaoQFu2NuJjxdBuNeFh4cTHh5e5L1vv/222Hr+/v5s2yZGbxaEsjBeOYzun++4Yqdif/OWnNJdRUqMo413S3oGdKWuS+V0E79ONthjim2IKS4YZa04VL7RaEJOYNFrMScHYkoOAHPxx/4UDm44DHmdgt0/YziyCktWItr7nkK6g16jglDdiavnKio6KYe4lDzG9W94V+W4OGpoUt+d/RFJDO8edMtRx6/bczqBfL2Jvu3+/VDv2zaAzYdiWb8/hscHN76rmKqLjJxrc5yXITlvFuxJPV9nNh6MoXtLPxSK0g2QUlPsP5PEt2vOUNvTgedHtsDXw8HWIQmCIAhCjSLLMsZTGzhxchWb/d2JU1pwNGbRr25Puvt3ws2ucgdXK8aiwpxcF3NyIAq3FFQ+UagDzqPyu4Q5tQ45+t7FNpFUGrQ9nsTg6ovh0HL0ai12XScUGURSEO4FIjkvgdli4ej5VKISsukR5oe3+50nGLk6I3/tuUKB3sy4/g1Rl3J0wT0nE1EpFXRo7H37lW+jUxNfvl17hotXs247qJtFltl8+Cr1a7sQ7Odifd/FUUP3ln5sPxbHsK718XS9s2k0qpPryXlZRrqXJIkBHQJZuDqCYxdSadPQ6/Yb1RAms4VVuy7j7W5PTr6R934+zKShTWgRXMvWoQn3AFmW2XY0Dv/aLjS84bNLEATBlpxd7NGWY08y2WLm4oaFLEo4TISfK75OnjzVqC/d6nbATqUpt/2UDwlLpjeGTG8k+xxUvlEovWN5cf073B80iA6+bYok35IkYdcqHIwFGI6vQ9I6Y9dupA3jF4TKJ5LzG+TkG9h5Ip5tR+OsidmmQ7H0aevPkM71cNSWfgRus8XCjuPxrNx5mXy9CVkuLP+Z4c1vm6AbTRb2n0mkdWgtHMqwz5tpFVoLjVrB/jNJt03OT19OIyk9n6eGNil2t3JAh0C2H4tjw8EYHu4betdxVXXXu7W7lXEaujYNvajlqmXDweh7KjnfdSKelMwCXhzdAr9ajsxfforP/zzJiB5BDOpYV9z9FiqMRZZZtPk8247GAfBgnwb0bVu53TkFQRBKorVTEf7K6nIpS4OeDoE7OOltwuSgxRjbgCuJ9fl8Wzqfs/6W21bEfNNlIeucMV5pjimxHrXvS+DXs0vZn3CYsQ2H4+voU2RdTbtRyAU5GI6tQbJ3QdOsr42iFqqro0cP88MP3zB//jcA5Ofn8eKLz9K8eUt27NiGVqtFpVJjMhmpVcuLyZOfp1Gjwp7Bo0aFW5dfFxrakOnT36qU2EVyDsQk5bD1yFX2n0nCaLLQuK474/o1pK6vM6t2XWbTwVh2n0xgWNf63NeqDirlrZPrs9EZ/LHlPFdT8mgU6MZDfUK5EJfFrxvPsWDVaZ4Z3uyWZZy4mEpeganMc5vfjFajolUDLw6dTeKhPg1uue/Nh2Jxc9LQtmHxFnsPFy2dmvmy80Q84Z3r4eJY1e7Qlq/MHAMOdirs1GUbOEWpUNC/fSC/bz7PhauZNPB3q5gAqxC9wcxfe6Jo4O9K8yBPJEnijXFt+Gl9JMt3XCY6KZcnBjXGTlMeg9AId+pqSi6+Hg63/QyrTkxmCz/8fZb9EUn0axdAToGJP7ZcwGA0M7hTPVuHJwiCUC6cnBJxDzrGYa2ES7YjyVfaIeur36Njss6Zd3s/xF8ntrHq0t+8f3AefQN70L9ebzTKwmRIkiTsuk5ALshDv/d3JDtH1A062zhyobrKz8/nlVeep1WrNjz99PPs2LGNTz75nNq1/QDYu3c3r7zyHL//vhw3NzeAIssr2z2bnJvNFo6cS2bL4auci81Eo1LQpZkvvdv4U8fr34HTHhvUmN5t/Fmy7SKLtlxg69E4xvQMJiykVrGWwJRMHUu3XeTI+RRquWp5dngzWod6IUkS/t5OWCwyv28+z8LVEUwe1vSmF8i7TyXg7mxHk3qlm8KrNDo28eHAmSROX04nrEHJ3YzjUnKJiMpgZI+gm8Y2qGNd9pxMYPPhWEb2CC63+KqijFx9mVvNr+vavDardl1mw4GYeyI533Iklqw8A0/f38z6d2GnVvJUeBPq+jjz5z8XSUzL5/mRzfFyu/X8p7aQX2Bi5a7LHDqbROfmtRnSqR4O2pr18bj5cCx/bLlAhyY+TBra1NbhlAuD0czC1REcv5jKiO5BDO5UF09PJz78+SDLd1xGbzQzvFvQHfXaiE3ORW80o1UrsdMU/teqlahVCtELRBCEyqM04hpwGoNXInqzjPeVQKJTmgDV93NIISnoUqcDLbyasvLiOjZEb+Nw0nHGNBxOU8/CsZYkhRJtr0noNsyl4J/vkeycUAW2sHHkQmkZz+/BeG5nuZYpSRKyLKNu2B11aJdSbaPT6Zg69QVat27HxIlPl7hO585dady4KZs3b2D06LHlGfIdqVlXn6W0/0wiq3ZdITlDh6eLljE9Q+jaojZO9iV3IQ/0cebVsWGcvJTGkm0X+XL5KRoFujG2dwMCfZzRG8ys2x/NhgMxKBQwvHsQ/dsFoPlPi2vvNv5YZJk/tlzgm78ieGpo8QQ9M1fPqctpDOpYt1wHE2ta3wMnezX7zyTeNDnffPgqapWCHmE3H2Xc18OBto282Xb0KgM7BJZLt/uqKiNHj7vTnfUOsNMo6dXanzV7o2r8CPd5BUbW74+hRbBnsccmrj+D7+/lyMLVEbz70yGevr9Zud54uhuyLHPgbBJLtl4kO89AaIAbGw7EsOdUAsO7BdWYQf02HYxh8baL1HLVcuBMEi2DPenY1NfWYd0Vnd7EF8tOcj42k0f6hdKrtT8ASqWCJwc3QaNSsHZvNHqDhbG9Q0qdUKdm6vhj6wWOXUgtcbkkFd54up6s29upcHJQ42yvxslec8P3apwd1Hi4aPH0LN1MGYIgCP+SUXokoK17BqPKSNtMI5eiOhJtvPuxiKoKZ40T45s8QMfabVh8biVfnfie1t4tGNkgHDc7VySVBvt+U8hf+yG6zfNxGDwVpW8DW4ctVBN6fQHTpr3IpUsX+eCDObdcNygomOjoKOvrqVNfKNKtffTosQwePLSiQi3inkvOz8Vk8N2aswT5uzL6vhBaNahVqotvSZJoGVKLpvU92HE8ntW7r/DOj4do28ibi3FZZOTo6djEh1H3BePhcvPB0vq2DUC2yCzedhHF2jNMDG+C8oapIvZFJCLL0LlZ+V44q5QK2jX2Zs/JBHR6U7FprnLyDeyLSKRzM9+b3qS4bnCnuhyKTGbr0TjCO9crdQwFBhN2amW1aXXKzNXjV8v9jrfv3cafDQdj2HgwhkcH1twR7tfvjyFfb2JE96CbrtMsyJM3H23L/OWn+HTJcR7oGcJDg5pUYpTFJaTl8dum85yNzqCerzNTRrWgfm0XohKzWbzlAr9sPMe2o1cZ27tBlbmZcCfWH4jmz+2XaNvIm4lDGvPJH8f5ddN5QvxdqeVa9XoxlEZOvoG5S08Qk5TLxPAmxW40KBQSEwY0QqNWsvlwLAZT4YCct5qtwmgys/5ADOv2RSNJMKJ7EPV8nSkwmNEbzUW/GszojSYKDGbyC0zk5htJTMsnR2dEbzAXKdfb3Z7vZ/arkHoQBKGGUphQ1z+NyjOR2gVGul2FVWm9yLDUzBt9oe4hvNH+JbZE72BD9FbOpV9kfJMHaFarMZLGHvuBr5D/12zyN8zFYeh0lB7+tg5ZuA11aJdSt26XlkqlwGSylHr9s2fP8OSTk6lbtx4ffjiL99//5BZrS9jZ/dtbVnRrryRZuXoWro7Ay03L7MmdycspKHMZKqWC3m386dTUh7V7o9l8OBZ/bycmD2ta6u7L/doHYpZl/tx+CYUk8eSQJigUhV019pxKJLiOS4W0tHZq4sv2o3EcPZ9Cl/88z77jeDxGk4U+pRhEKdDHmRbBnmw+FEu/tgG3fY7YIstsPhTL8h2XGN4tiIEd697VcVQGi0UmK9dQpmnU/svFUUOXZr7svtYK63oXZVVVmbl6thyOpWMTHwJ9nG+5ro+7A9PHteGHdWdZvO0iuQYzI7rWr6RI/2Uwmlm7L5oNB6JRq5Q80i+U+8LqWG/S1fN14bWHW3PkXApLt19kzuLjhIXUYkyvkGo3Ndy6fVEs33GZ9o29rTcCnwxvwts/HOS7tWeZ9mCratczICNHz5zFx0jNKuC5kc0JCym5J5AkSTzYuwF2aiXr9kVjMJp5fHDjIjdDrzt+MZU/tpwnJbOAto28Gdsr5JY3WW/FaDKTqzORk28gV2fEbJHvqBxBEO5Nkn02mgbHUdjl0z8tF99kF37KvY8CueaM82MwmvHyKn7NMN7nfvo07sS8vd+x4OSPDG3Uj7HNh6JSOGN85G3if56BfsNn+E2Yjdrt7noQXN9/gd5ETrbursoSqqZmzVrw6KNPUlBQwKOPPsSqVcu5//6SR/+/dOkiPXv2quQIS3bPJOdmi4Wv/4pApzfxygNhOGjVd5ScX+egVTOmVwgjegShVEhlbg0e2KEuFovM8h2XkSSJJwY3Jioxh/jUPCYMuLu5zW8muI4LtVy17D+TVCQ5N5ktbDt6lab1PahTq3Q3BQZ3qssHvx1l54n4IvOh/1dGjp7v153hTFQGdholW45cpV/7gBIvkEtLlmUuxmUR7OdaYYlFdr4BiyyXaRq1kvRvH8iO4/FsOXK1Rj6jv2ZvFGaLzP3dSpdk29upeHp4M5Zsvcja3VfwcdUWu1FUkU5eSuP3zedIySygU1MfxvRqgGsJAxtKkkTbRt60DPFky+GrrNkbxZvfHaB3G3/Cu5Rt5gZbWbPnCit3XaFjEx+eGPJvUurtZs/DfUP5ft1Z1h+IrlaDpiVl5PPp4uPk6oy8PKYlDQNv3bNFkiRG9ghGo1aycudlDCYLk254nCg5I58/tlzgxKU0ans68OrYsLvuJaFWKXF3Vlo/O6rbzQ9BEGxFRul1FXXds9iZ4dG4DDKz6vBNXlcs1JxBPAE0auWtR7CXGqOuK/EXm1h56CCGi2Fg1FJb2YXnnTeS+MU05mUPIFe++95faz4dRs5dlyJURSpVYZqr1Wp58813eemlZ2nZslWx9Xbv3smFC+d4770PKjvEEt0zyfmqXVeIjMnkicGN8fcuv25BdzPq8eBO9bDIsHLnZRQKUCsVqFUK2jXyuf3Gd0CSJDo29WHdvmiycvXWltzDkclk5hp4dGDppx5q4O9GwwA3NhyMoWfrkkewP3o+hR//PovRbGHCgIa4OGj4csUpTlxMo3XonU8xtvNEPD9vOEev1nV4uG9ohXSTt85xfpet3T4eDrQO9eKfY3EM7lQXrabm/MklZ+Sz83g83Vr64e1e+hZlhSQxplcwiRk6ft14jrq+zvh7VWxXveSMfP785xJHzqVQ29OBqQ+2onHd2z+yoFYpGdixLp2vDfC3+XAse08nMjG8Cc2DPCs05ruxevcVVu++QqemvjwxuHGxBLFzM19OXEpj1a4rNKvvSV3fW/d6qApik3P5dMlxLBaZaQ+1op5v6ecyD+9cDzu1ksVbLzB/xSmeHNKEzYdiWX8gBqVSYkzPEPq09a9Ro9gLglCNKEyo60WgqpWAe46GZ1PjiMgP4o+8Tsg1LDEvFVmJMaoplmx31PUj0Dbbg+FyCxKyvPgmtxfPOm9movN2vszujwkxC4xwe02bNuOBBx7i7benYzAYijxT7urqxqeffomDw78NlP995lyr1bJw4Q+VEqtNMoU1a9awYMECTCYTEyZM4OGHH67Q/Z24mMq6fdF0b+lXqa10pRHeuR4Wi8zq3VeAwlHVK3KU6I5NfFm7N5qDZ5Pp2y4AWZbZdCgWXw8HmgWVrcVocOe6fLbkBHtPJ9K95b/PZegNZhZvu8CO4/HU9XXmqfAm1PZ0xGyx4O5sx/ZjcXecnF+PV61SsO1oHO7OdhXS8nenc5yXZECHQI6cT2HXiYRb9jKoblbtvoJSIZVp3IHrlAoFUx9pw/NztvPVytO8OaFtsXEQ7lZ+gYnD55LZeyqB81ez0KgUjOwRRP/2gWVOwlwdNUwY0Iherf1ZuPo0v2yI5P2nOqFWVa2LJlmWWbXrCmv2RtGluS+PDSyemEPhjbrx/RtyKS6Lr/+K4K3H2pV5ysDKFJ2Ywyd/HMNOo2Tag63wK2UPnxv1axeARq3g1w3neHn+bkxmmY5NfBjdM+Sue8gIgiDcKck+B03IcSRtHiGJDjyeG8X+ggYsze+IXI1HZC8P5nQ/LPkuaEKOY9fwCMb4IKKuhvBrbleecN7BGMf9LMrrTHUeuV6oGK1bt6V167ZF3nviiUk88cSk2267bNmaigqrVCr9yjIpKYm5c+eyaNEiVq1axZIlS7h48WKF7S81U8d3a88Q6OPEw32r5giPw7rWJ7xzPSSgR1jFDj7gV8uRQB8n9p9JBOBSXDZRiTn0bet/y8GSStK0ngd1fZ35e380lmvPVUYlZvP2T4fYeTyeQR3rMmNcG+vz80qFgh5hfkRcSSc5I/+O4j99JZ2EtHzG929IxyY+LN9xmT2nEu6orFvJvNZyfjfPnF8XXMeVBv6ubDoUi9lS+oEsqrLY5FwORCTRu63/HSc27i5aJg9rSlJGPj9viESW7/7ZXJPZwomLqSxcfZqX5u/mp/WRZOcbGdE9iPef6sjgTvXuqnU0wNuJh/qGkpat55/jcXcdb06+oVyOGwoT8xU7L7NmbxTdWtTmsUElJ+bXOdmreWJwYxLT81m6veI+g+9WYno+ny09jtZOyRsPt76jxPy6+8LqMHFoExr4u/HaQ614amhTkZgLgmAjMspaV7Frsg9JaaRjlBNP5kaxu6ChSMxvIBc4oT/TCVOyP2q/y2gaHeIkPqzXtaCD3SXusztr6xAFoVxVesv53r176dixo3WS9/79+7Nhwwaee+65Um1/ODKZ/AJTqdY1Wyys3RuNwWShfWNvDpxJti5zds4g5y6eOS9vXm72PNQ3lJTMAlIyyz/ZvJGPuwOHIpP5e18Uh8+loLk2b+/ukyXv91Z1Feznwrajcfy66Rx5OiNHzqdgb6diQIdAfD0c2B+RVGR9rUaJBPy2+Tzt76D7/oYD0djbKTFbLDSq60Z0Ug4//H2W2OTccu0affJyGhJw+nJambrN36yu6vo4c+FqFr9tOk+wn2u5xWkrmw/FoFYp8HDW3vT35nau11XrUC8Onk1GoZBoUrfsz/vKyKRn6bkYl8Wl+CwKDGbs1EpCrt0U8XTVIiFxJirjjuIsaX++Hvas3HkZlVJCrbyzFueE1FzWH4zFz9OBzs18cXG8eZJ4u88rGZnDkcmcupxOwwA3Qvxd2XsqsVRxNK3vwfajcagUEgHeVat7e16BkbXXxjXo1y6AyJhMiMm85Tal+Wzv1NS3Uj5rARy0Kvp3qZkjLAuCcIckc2E3dq94zFkeDEww0Et1mW26JqzWtUG0BP+HRYkxqhmWHHfU9c6gbbaXzRdb4GfIZJjDERLMbpwz2WZkbUEob5WenCcnJ+Pl9W+XZm9vb06ePFnq7R0d7VCqSxf2tiMxpGUXMKRrfer4FE+InJ3vbDTeilJZl8UtQr04FJlMREwm0Yk5tG7kjbvbrZ8ZvlldNXOy49iFVHaeiEeWISTAjT5tA7C7ybPVzs5agv1duXg1ix6tA8rUipmapSM+LZ/OzWvj6lIY7/33hfDn1vNsO3qV0b1C8S6n0bSNZhkHexUuLmUfbKSkumriZMeR8ymcicogrKE31fnEG5+aS2xKHp1b1KaWx93NKuDsrKVLyzqk5+g5eCaJun6u+JahzMS0PLYdjiUlU4dCkgiq40Ljeh7Ure2KsgIH4ureOoClW85zKT6Hdk3KPu2h2WJh365kHLUqUrMKWLHzCu2a+NC2sc9N/yZu9jcYl5LLgYgEYpNyaR7iSc/WAWW6odSzbQCJ6fnsPpXIIwPccKgig93p9EY27y4cxG1UrwZlGtegKn22a28zm4UgCPcYtR67BkdROGVhigtidGYSHeyusFHXnL91YVTn64OKZk6rgyXPFU2DY6gbHeH3qFBe1GfzqNNOPsseRIql9GORCEJVVenJucViKXLhKMtymS4kGwe4WrtQ38q+iEROXUxjYIfAEqdr8vJyJiXl3h2fce+JeM5eSUchSYztGYKn680vZm9XV+Y+Dfh14zlG3RdCl+a+t/15qqX6zFl8HIPeSJumpU9sfvg7EY1KwdheIUXmYm9Q25nZvxxh3Z7LTB/XpkwX8Tez5WA03m72tKxftnnOb1VX2V3r89P6SNQSNKl35/On25Isy6zfcxkXRw3j+oTedhq9W7mxrkJqO/POj4fYciCatx5rX+TnWxKjycyqXVfYcDAGd2c7xvVvSPvG3pU2inrL+u6cj0rn2PkUHuwdUub9rt0bRWaOnpfGtCTA24kl2y5yICKRK/FZPNIvlGb1iw42V9LvVWR0Bn/tKRzo0sVRw4O9G9Cnrf8dDZDoPaoF7/50mIOnE5gyqkWFDLJYFjq9iU/+OEZOfulGZb9RVftsF6O1C4JwnWSfjSb0KJLKiPFCSx42XKC1XRTr8sPYVNDC1uFVC3KBE/qITmhCjqOsf47/JdXltaxInnTezmdZA9FTc6acE+5Nlf7Mua+vLykpKdbXKSkpeHvf3VyF/xWXksvPGyIJDXBjRI+gci27pujYpLBLeZuGXrdMzEujTUNv5k3pRtcWtUt1Ud+4rjs+Hg5sP1b6Z3az8gzsj0ikc/PaxRI3Nyc7Xn6gJWaLzGdLT5CdZyjzMfxXZo6+XJ43v1Gnpj64OGrYcCCmXMutTKcup3P+ahZDu9S7q8T8v5zs1TwzvBlZeQa+W3sGyy2ew74cn83bPx5i/YEYurXw470nOtCzVZ1Kn95sePcgdHpTmX+eKZk61uyNom1DL5oHeeLmZMekoU15ZWwYEvDZkhMsXH3aOmPAjWRZ5mxUOh/+fpSP/zhGQlo+Y3s34KPJnejbrmwt5jfy93Ji9H3BnLiUxj/H4++ojPJiNJmZv+IUMUm5PD2sWZkSc0EQhKpK4ZaMXZMDSJKM6WxbxhvP0douitX5rUViXlYWFYbzrTEl1sXsk8CnPv44q3IY77QbiZoxto9w76r05Lxz587s27eP9PR0dDodmzZtonv37uVWvk5v4n8rT6PVqJg8rOldzaddk7Vt5E2bhl4M7VKv0vctSRL3hflx8WoWV5NzS7XN9qNXMZll+rb1L3F5bU9HXhjdkswcPZ8vO0GBoXTjEtxMRo6+3AeKUquU9G3rz+kr6ew7XbrngasSiyyzYsclarlqi4zOX17q13ZhbO8GnLyUxvr90cWWG00Wlv1zidm/HqbAYOblMS15dGCjch/lvbQCvJ3o0MSHzYdjycotnkjfzB9bLhT2WOlddIDKpvU8ePeJ9tzftT5Hz6cy49v9bDkci8UiI8syEdeS8k8WHyc5I58H+xQm5f3aBZTLSOu92/rTtL4HS7ZeICEt767LuxNmi4WFqyM4G53BE4MbE9aglk3iEARBKC+yLKPyvYKmwVFknSOGiA6MV5ygpSaG5Xnt2FbQzNYhVlMKjDGNMVxpQoFzLp/41cbPIZ7B9sdtHZgg3JVKz1x9fHx46aWXGD9+PPfffz9DhgyhRYvyuWMoyzI/b4gkKSOfSUOblnvLZ01ib6fi2eHNqVPB80vfTJfmtVGrFGwvxYjXRpOZ7cfiaBnsaR35vSQhdVyZNKwpUYk5LFgVgcl8Z3dP9UYz+XpThfz+9G8fSKNAN35cf5ZzMeUzQFll2Xc6kZjkXIZ3C6qw+aB7tqpD+8berNh5mbPR/9bPlYRs3vnpEH/vj6Zr89q890QHmlWBecbv71Yfk0lm7b7iNxNKcux8CscvpjKsa308XIr3WFGrlAztWp/3nmxPcB1XFm25wHs/H+a1+bv5dPFxUrMKeLhvaGFLedsANOU4/ZlCknh8UGM0aiWzfjnMZ0uP89eeK0REpaPT393NrtKwyDI/rY/k2IVUHuzTgE7Nyv4svyAIQlVisphYcOhX1IHnMKf7YoxsxwS7g7TUxLAsrx079Y1tHWK1Z04JxHC+LTq1zDx/Lxq4n6OV5oqtwxJsLCEhnq5d23Lo0P4i748aFU5CQjxms5np06dSUFCA0Wjkvffe5OGHR/H44w8THR1103JTUpIZNqy/9XVychKzZr1VrrHbpFk5PDyctWvXsnHjRiZOnFhu5UZcSefg2WTu7xZE47qiK2RV5mSvpn0jb/adTrxtK/e+iCRy8o30K8Uc4a0aeDGuf0NOXU7jl43n7miaqutznFfEFEsqpYJnRzTHy82e+StO2ayFsqwirqTz84ZIQuq40qFJ2UfZLy1JkpgwoBG+Hg58/VcEqVk6lu+4xOxfjqDTm3hxdEseG9QYB61tWsv/y8fdgW4ta/PPsThSs3S3XFdvMLNoy3nqeDnS5yY9QG4s9+UxLZk8rClZeXpSMnWM6xfKh5M60buNP2pVxQwy5u5sx0tjWtKukQ8Z2XpW77rCp4uP89y8nfzf9wf5ZeM59pxKICkjv9ymgIPCG6tLt11kz6lEhnapR9+2t/9bFwRBqMpyDXl8efxb/rmyD2NcMOZLzRlvv5cwTQwr89qySyTm5caS7Yn+TEf0Jnu+8XOnie9h/JVptg5LsDGVSsVHH80mP7/4tfaqVcto374jWq2WP/9cjFZrz++/L2PKlFeYPfvtEsvbt283zz8/mbS0f3+3vL198PDwYN++3eUWd43p8y3LMqt3X8HTxY6BHQJtHY5QCve1qkOBwVxsurUbybLM5kOxBHg70aiUN1zuC6vD0C712H0yga1HrpY5Lusc5xU0/7GjVs0Lo1uiUEjM+/ME2fl3/4x8RbpwNZMvV5zE18ORKaNaVPgAV/Z2Kp65vxkFBhNvfL2fdfui6dzMl/eeaE+LYNu3lv9XeOd6SJLE6t23vlO/Zm8Uadl6xvVrWKqeB5Ik0b6xD58915UfZvalZ2t/1KqK/8iuX9uFRwc24r0nO/Dli915+YGWhHeuh6uThgNnEvl+3Vne+Ho/L83fwy8bIjkbnVGqQTpvZd2+aDYdiqV3G3+GlTCApyAIQnWSmJfEJ4e/JCo7likdH8MSF8wjjntoZRfNqvw2/KNvYusQaxy5wImCiI5Yct1Y4etMg3p7cJLybR2WYEO1annRrl0HvvxyXpH3ZVlm2bIl9OlT2AK+b99u+vUbCEBYWGsyMzNITCz++Onatat5//2Pi70/YMBgfv/9l3KLu2o0P5WDiCvpXIrPZvyA0l34CrYX5OdCoLcT24/F0SPMr8TBrCKi0olLzeOJwY3LNNjVsGvP7Z64lEafMrbCZVxvOa/AxyK83eyZMqoFHy86xpfLTzJ1bKty7aJcXqITc5j35wncnbW8MjbstqOol5c6Xk48Pqgx6/ZFM7JHEC2Cq+6zxx4uWnq1rsPmw7EM7FAXv1rFH72IS81j48EYujavTWiAW5n3YavR0x20KprV97SOHm+xyMSn5XExLovI6Az2RSTxz/F4XB01tG3oTbvG3oT4u6K4TbxGk4WY5Bwux2Vz/momR86l0KmpDw/2aWDzkeIFQRDuxvmMS3xz6mdUkooXWk2ifUBj4h2X0sYuir/yW7O9oKmtQ6y5zBp059rjVu8Y+71SCFLvIPJcb8yyGMG9sh1IOMK+hEPlWqYkgSxDp9rt6FC7Tam2ee65Fxk/fiyHDu2nXbuOAOTl5eLk5ISTU+GjvampKXh6/nud6elZi5SUJHx9iz5eN3v2JyXuIygohKioy2RnZ+HiUnzq7rKqEcn5ja3mXZvXtnU4QilJksR9revwy4ZzXI7PJrhO8V/oTQdjcXXU0L5x2bpSS5JEvdrOnLiYWubp+jJzCluyK3rMgmA/VyYOacKCVaf5bt1ZJg9retukpjLFpebx6ZLjONipmDo2DFfHyj25tW/sU+afu60M6lSXHSfiWbXrMs8Mb15kmSzL/L7pHFqNklE9g20UYflQKCT8vZzw93LivrA66I1mTl5K4+DZJHaejGfr0au4O9vRtqE37Rt7E+RXOOdseraeS/FZXI7P5lJ8FtGJudYxITxc7Ojd2p8HeodUqd9/QRCEsjqYeJTfzv6Jl70nz7R8Ag87V1LWfkVbuyuszW/FVjH4W8WTFWReaU2g4SiX66RQu8k/XD3XA0xiHKp7kaOjE6+9NpOPPprNL78sBuDQoQN4ef17fVk8T5CRpLI19Hp5eRMfHyeS8+tEq3n11bGJD0u3XWT7sbhiyXlcSi6nr6QzvFv9O+rOG+jtxO6TCWTlGcqUaGfk6LFTK7G3q/iW7LaNvBndM4Sl2y+y3E3L6PtCSrVdVp6B7UevUmAw07dtwF1Ph/dfyZk6Pl18DKVC4tUHW5U4eJnwLxcHDf3bBfDXniiiErOp5+tiXbb/TBKRMZmMH9AQF4eadffeTq2kXSNv2jXyRqc3ceJiKgfPJrP92FU2H47F08UOk0UmK7fwhpdapaCerzN92vgT5OdCcB3XChnbQRAEoTLJsszG6O2subyBBm5BPNV8PPYqLQU7fsB0fjfr8sPYXND89gUJ5UQiJq4NrU37uRCQgXvTXWRGdkbWO9g6sHtGh9ptSt26XVoqlQKTqeyDPbdv3/E/3dslVKp/U2AvL29SU1OpU6dwPKC0tDRq1fIq0z6USlWZE/qbqfbJuWg1r960GhWdmvmy60QCY3s3KNJtevPhWNQqBfe1qnNHZQd4F3ZXiU3OLVtynqvHzdmu0rrX9m8fQHJGPuv3x+DtZk+PsJsfb0JaHhsPxrL3dCJmswWFQmLrkat0a+nHkE51yyWJzsjRM+ePYxhNFl57uDU+7uJkVhr92gWy9chVVuy8zMtjwgDILzCyZOsF6td2qZDp56oSezsVHZv60rGpL/kFRo5dSOXo+RTsNEqC/VwJ8nMhwNtJ3EAVBKFGMVvMLDm/kj3xB2nrE8YjjcegkhTod/2E6fxu3LqNYdNqcYPbFo4ldWCQZTv7AgtwaLKH/PPtkPPcbB2WYAPXu7enp6fRrl17tm/fYl3WqVMXNmxYR8uWYZw4cRyNxq5Yl/bbSUlJonbt8rnOq/ZXSddbzQd3ricu+qqpnmF1MJkt7DmVYH0vO8/A3tNJdGnmi/MdtjYGeDsDEJOUU6btMnP1uDtVXgunJEk83C+UZkEe/LrxPKevFB9h9GJcFvNXnGLmtwfYezqRrs19ef+pjnw0uRPdWvqx60Q8r3+9j183nSM9u+COY8nONzBn8TFydUZefiAMfxtNtVcdOWhVDOpUl9OX063T5K3YeZkcnZHx/RveU122HbRqujSvzfMjW/BUeFN6t/Gnfm0X8RktCEKNUmAsYOGpn9gTf5D+dXsxocnYwsR89y8YI3eiaRWOe7cxtg7zniUjsSmlO8OjLbhgQNv4IAq3ZFuHJdjA9e7tRqMRR0cnsrIyyc3NBWDkyAcwGg088sgYPv/8E958810AIiPP8OqrU25b9uXLFwkMrIeLi8tt1y2Nat1yLlrNawZ/bydC/F3551gcfdsFoJAk/jkWh8lsoW8ppk+7GQetilquWmKTc8u0XWaOnhD/u39mpCyUCgVPD2vGB78d5auVp5n+SBv8vBw5cTGVDQdiuHA1C0etisGd69G7jX+R57/H92/IoI6BrNsXzc7j8ew6EU+PlnUY1KlumboM5xcY+WzxcdKyCnj5gTDq1y6fD5l7Sa/W/mw6FMuKnZcZ27sB24/G0auNP3V9nW0dmiAIglCOsvTZzNn+M9GZcTzYcARd63REli3od/+K8ew/aMKGoGk7QgxyaWNGVCxL68lkeT1L/SCxwVEM0Y0xJ9e1dWhCBapd249ly9YUea99+47s3n0YgNGjH2TjxnWMHPkAdnZ2zJz5TrEyGjZsXGL39utlXLd27WoefHBcucVerZsxrK3mnUSreXXXs1UdkjJ0nI3OwGgys+3oVVoEe1Lbs/jI12UR4O1ETFLpk3NZlq+1nFf+c7D2dipeHN0CrUbJ3D9P8OZ3B/hy+SnSs/U82KcBnzzTmRHdg0ocmK2Wqz0TBjTig6c60rlZbf45HsdrC/fx++bzZFybGu5WCgwm5v55grjUPJ4d0fyORhQXCp/BHtq5HheuZvHF8pM4O2oY3i3I1mEJgiAI5SghL4lPDs8nPieZSc0n/Ccx344mbDCadiNFYl5FZMmOLM7swcS4DAJzQVPvLKqASODupgEVqq/hw0dx6NABCgpu3ts0OTmJ/v0H3bKcpKRE0tLS6Ny5a7nFVm1bzq+3mnu42NG1hWg1r+7aNvTmjy0X+OdYHOnZBWTnG++q1fy6QB9njl9IRW8wY6e5/QBvuTojJrNcYXOc346Hi5YXRrXk4z+O4uyg5qmhTWjXyBulonQ3n2q52fPowEYM7lSXtXuj2H40jq1HrqJSSigVisKvSgVKhVTkPZ3eRHqOnqeHNaN5UNWbS7w66dbSjw0HY0jJLOCp8CY4aKvtx6wgCILwH9enSlMr1LzT82Wcze7Isox+z2+FiXnLQWjajRKJeRUTbfZieW5nJrObbwx1iKodhaQpwGAebOvQBBtQqVR8+OFnt1zHx8cXH59bP3vu4+PLO++8X56hVd/kPCLq2gjt/cUI7TWBWqWga4vabDoYS2xSLv5ejjSp637X5QZ6OyEDV1NzCfa7fVf1663Mtmg5v66urzPznu+GSind8cndy82exwY1ZnDnehyISKTAaMZslgv/WyyYinyVMZstjO3dgDYNvcv5aO49KqWCJ4c04WxUBh2aVI+p4ARBEITbO5BwhN8jl12bKu1xgjwCSU7ORr/nV4xnthUm5u1Hi8S8ijpiCKK2LpNJnOZ/+lCu+iXy3vZ5PN54HE6au+upKQjlpVom56LVvGa6L8yPDQdiSM7U8digRuVycrOO2J5UuuQ8M7cwObdVy/l1dzJ1XEm83ewJ71K/XMoSSq+BvxsN/N1sHYYgCIJQDmRZZn3UFtZd2UyoWzATm4/DQe1wrcVcJObVyTpdK3yUWTwjX+Czy224rIhhzpH5PNPycbwdyjZ9llBU8fnC722yfGePTVTLJueIqHQuxWUzRDxrXqN4uzvQItgTVycNHcupxdHTVYu9narUg8JVhZZzQRAEQRCqBpPFxK9nl7LuymY6+Lbh2bAnrIl52sbvMJ7ZhrrFQJGYVxMyEr/mdiXB7MYzphO8ETYWnamAOUf+x8XMK7YOr9pSqTTk5WXfcUJa08iyTF5eNipV2Wd/qnYt56LVvGabGN4EvcGMWnX758NLQ5IkAr2diEku3XRqmbkGAFwrcSo1QRCEmmrNmjUsWLAAk8nEhAkTePjhh4ss37JlC19++SWyLOPv788HH3yAq2vlzpYhCDeTb9Tx7alfOJ95icH1+zKwXh8kSfr3GfMzW1G3GIBdhzEiMa9GDKj5NrcnL7qsx3PdD7zc92kWXl7Nl8e+YVyTB2jrE2brEKsdd3cvMjJSyM3NrLB9KBQKLBZLhZVf3lQqDe7uZe+NUe2S8wtXs7gUJ541r6kctWoctepyLTPA24ldJxOwyPJt55rOyNHj4qAWv1uCIAh3KSkpiblz57JixQo0Gg1jx46lQ4cOhISEAJCbm8vbb7/N8uXL8fHx4fPPP+fLL79k5syZNo5cECBNl85XJ34gRZfG+MYP0KF2G6CwkUi/tzAxd+0wFHOL4SIxr4YyLE58ld2XmY7bcdzyDS8PfIlvL6/hx4hFpOnS6Ve3p/i5loFSqaJWrYptNPXyciYlpXSNbdVZtctANh+OFa3mQpkE+DihN5pJydDddt3MXL3NnzcXBEGoCfbu3UvHjh1xc3PDwcGB/v37s2HDButyo9HIW2+9hY9P4WNMDRs2JCEhwVbhCoJVVHYMnxyeT5Yhh+fCnrwhMbcUtphHFLaYe/QeLxK4aizJ4kbtB99E1ucjbZrPs40KW83/uryBRZHLMFvMtg5RuAdVu+Q8OjFHzGsulEmgtzMAMaV47jwzR4+beN5cEAThriUnJ+Pl9W+XPm9vb5KSkqyv3d3d6du3LwAFBQV888039OnTp9LjFIQbnUg5zbyjX6NRani1zTOEugcDIFvMFOz44Yau7A+IxLwGsKsdjP3Al5Bz0zFtmMeE4KEMqNebvQmH+OrED+hMN58HWxAqQrXr1u7mZEfX5qLVXCg9v1qOKBUSMUk5tGt066nCMnL11PdzqaTIBEEQai6LxVIkebnZSL45OTk8++yzNGrUiOHDh5d5P56eTncVZ1Xh5eVs6xAqTHU4NlmWWXtuK7+dWkGwR11e6/Y0rtrC6wHZbCR59eeYzu/DvfsDuHX9d/C36nBswq3Vbt6GfIdpJC79ENPWL3n0oTep5+XHt4d/5/MTC3mt69N4O9WydZilVpN/J2vysV1X7ZLznq39y22aKeHeoFYpqO3pcNsR240mCzn5RjFSuyAIQjnw9fXl8OHD1tcpKSl4exe9QZqcnMwTTzxBx44dmT59+h3tJy0tF4uleo8QXJOfpawOx2Y0G1l0bjkHE4/Syqs545s8gCFHIiUnB9lkQLd5PubYk9h1HIup0QBSUwuvJ0pzbPdCMlHdpaTkgEsI2l6TKNj6FbGLPqBZ/xd4puUTfHf6N17b9AFPNnuEUPcQW4d6W9Xh7+1O1ZRjUyikW95UrnZZbrtGYg5CoewCvJ1vm5xnVZE5zgVBEGqCzp07s2/fPtLT09HpdGzatInu3btbl5vNZiZPnszAgQOZMWOG6CIs2ESmPou5xxZyMPEoQ+r344lmj6BRFs7YIht06NZ/hjn2FHbdHkXTYoCNoxUqkjqoHdoeT2COi6Bg20IaugUxre1zOKud+PL4d+y8uldMFSZUuEpvOT9y5AgffPABRqMRNzc33n//ferUqVPq7VVKRbW/Qy5UvgBvJ/ZFJJKTb8DZoeRp0q5PoyaeORcEQbh7Pj4+vPTSS4wfPx6j0cioUaNo0aIFEydOZMqUKSQmJnLmzBnMZjMbN24EoFmzZsyePdvGkQv3iitZMXx76mcKzHqeaj6ell7NrMtkfR756z/FkhKFttdTqEM62TBSobKoQ7siGwrQ7/2Ngn++w6vnRF5t+xw/RfzBkvOruJqbwJjQYagU1a7zsVBNVPpv1tSpU/nqq69o1KgRy5YtY9asWSxYsKCywxDuMYE+hd1HYpNzaVLPo8R1Mq61nLuLlnNBEIRyER4eTnh4eJH3vv32WwCaN29OZGSkLcISBA4kHGHRueW4alx4NWwifk6+1mWW/Cx0f8/BkpmAtu9zqOu1tmGkQmXTNOuDbMjHcHgFerUWbddxTGoxgTWXN7IpejuJeUlMbD4eZ03NGO9CqFoqtVu7wWDghRdeoFGjRoCYNkWoPAHehR+gMUk379qekSOSc0EQBEGoycwWM8svrOGXs0sIcq3HtHbPF03Mc9PIX/MBluwk7Ae8KBLze5SmVTialoMwnt1Oweb/IZmMDAseyGNNHyImJ46PDn1BbE6crcMUaqBKbTnXaDQMGzYMKBzFdf78+WLaFKFSODtocHe2Izb55gNJZObqUSkVOGpFVyVBEARBqK6cXezR2hU/l+ca8vh834+cSDzLgAb3MT5sFCqF0rrcmJ5AwroPoSAPv4f+D21A49vuSwz4VjNJkoSm/WgkBzf0+/8gf8372Pd/kbY+YXg71OLrkz/z6ZGvGNd4DG18Wto6XKEGqbAsZP369XzwwQdF3gsKCuKnn37CYDDw+uuvYzKZmDRpUpnKLc8pU8QHaunVhLoK9ncjIV1302PRGSx4umrx9r67qdRqQl1VFlFXpSfqqvREXQnCvU1rpyL8ldVF3pPsc9A0OIak0WGMasbKg1pW/r7Wury+KpknnbYDsCCnD1fnnQfO33Usaz4ddtdlCLYhSRKa5v1QuHqj27qQ/FXvYt//RQJr1eW1dlP49tSv/BDxO1dz4xlSvx/KG270CMKdqrDkfODAgQwcOLDY+3l5eTz99NO4ubmxYMEC1Gp1mcotrylTaspw/JWhptSVr7uWY+eSiU/IRK0q/gGamJqLi4P6ro61ptRVZRB1VXqirkqvqtXV7aZMEQShoskova6irnsWTGoMke2x5LoXWaOV5goPO+4hw+LINzm9SbHc3U16oWZRBYbhMHQGug1zyf9rNtpek3Gp15oprZ7iz/Or2RS9nUuZV3is6UO4a91sHa5QzVX6VGpTp06lbt26zJs3D42m5FGzBaEiBHg7Y7bIxKfml7g8I1cvnjcXBEEQhJpCaUQdfAJN/QgsOe4UnO78n8Rcpq/2JI867SLa5MXc7IEiMRdKpPQMwGH4/6Fw96dg05cYTqxHJSl5qNFIHm3yIFdz4/ng4DxOpZ6xdahCNVepD9eeOXOGrVu3EhISwvDhwwHw9va2jtwqCBUp0DooXA51fYt2e5VlmcxcPW5OtWwRmiAIgiAI5UhyzEITfBzJrgBjbCimhPqAZF2uxMwDjvvpYHeJQ/og/sjrhBnRLVm4OYWDGw7hr1Pwz7foDyzBkpWAXdfxtPNtRV0Xf344/TsLT/5Ez4Cu3B88SEy3JtyRSv2tadKkCefOnavMXQqClZe7PXZqJbHJxUds1+lNGIwWMce5IAiCIFRjsiyz9txW7BrvRzbaYThbvBu7vaTncacdhKoTWZ/fkg0FLbgxcReEm5FUGrS9n8bg6ovh2Bos2SnY930ObwcvXmn7HCsvrmN77G4uZUbxeNOH8XLwtHXIQjVT6d3aBcFWFJKEv7cjMSUk52IaNUEQBEGo3nKNeSw8+RO/HF+GJdMLfbFu7OCpyOFFlw0EqZL5NbcrGwpaIhJzoSwkSYFdu5Fo75uIOfE8ecv/D1PMSdQKFWNCh/FU8/Gk6NL48NA8jiQdt3W4QjUjknPhnhLo7Uxsci6yXHRQwcxcAwBuTmIcBEEQBEGobi5mXuGDg/OITD/PY63GYLjYCsxFz+n1VCm85LIeZ0nHVzl9OWwIslG0Qk2gDu2CQ/gbSCoNug2fodu6AEt+Fi29mvFGuxep7ejLDxGLWBS5DIPZYOtwhWpCJOfCPSXAxwmd3kRaVkGR90XLuSAIgiBUP3qzgeUX1jDv6ELUChWvtH2WgaE9KdoaLtNBc4HnnDdSIKuZmz2ISyYfW4Us1CBKnxAcRr6Lps1wTFeOkLf0DQyRO/DQuvJS68n0q9uTPfEH+eDgPC5kXLZ1uEI1IEYqEO4pAdcHhUvOpZabvfX9jNzC5Fw8cy4IgiAI1cPZ9PP8EbmCtIJ0utXpxP3BA9GqtEXWscPIGMf9tLW7wjmjLz/ndidP1t6kREEoO0mpxq7NMNTB7SnY9RP6nT9iurAXu24TGBY8kEbuDVgUuYx5xxbS1a8D94cMwl5lf/uChXuSSM6Fe4q/lxOSVDhie+tQL+v7mTl6HLUqNGoxUqsgCIIgVGV5xnyWX1jDgcQjeDvU4qXWTxPiVr/YenWUaTzmtBNPRS5r88PYUtAMWXQaFSqIwq029kNex3RuFwUHlpC/7P/QhA0mtNUQpnd4mXWXN7EtdhenUs8ytuFwWng1tXXIQhUkknPhnmKnVuLr4VBsxPbMXD1uoku7IAiCIFRZsixzNPkkf55fTZ4pn/51ezGwXm/USnWx9brZRXK/w2FyZS1f5vTjsujGLlQCSZJQN+qOsm4Y+n2LMBxdjenyQew6PsDwkEG08WnJ75HL+PrUz7T2bsHo0GG4aJxvX7BwzxDJuXDPCfB24nJ8dpH3MnL0uIsu7YIgCIJQJWXqs1h8biWnUs8Q6FyH5xo9ib+zX7H1ZH0eScsXMMrxIBGGOvye10V0YxcqncLeBftekzE16ELB7l/QbZiHwt0PvxYDmdbqabbE7WH9lS1Epl9gRINwOvq2QZLErAGCSM6Fe1CAtxMHzyaTX2DEQVt4tz0jV4//tefRBUEQBEGoGswWM3viD7D60gbMspnhIYPp6d8VpaL4Y2jmpIvoti5Azs9kZX5b/ilojJgmTbAlVUBzHMd8gOnyQQwn1lOw43ukQ8vp2awPLcMm88fldfx2dimHE48xJnQYPo7etg5ZsDGRnAv3nECfwu5Dscm5NAx0x2yxkJ1nEIPBCYIgCEIVIcsyJ1Ij+OvSepLyU2joHsKDDUfi5eBZfF2LBcPJDRgOLUdycsdv/Gz++eyMDaIWqhuD0YyXVyV0K/ftj9ypH7orJ8ja/xe6g8twPraWl8J6c6RJUxaf38qsg5/R2a89g+r1xdVOdHW/V4nkXLjnBN4wYnvDQHey84zIsphGTRAEQRCqgkuZUay6tI7LWdH4OHjzVPMJtKjVpMRuv+bkSxTs+gVLWjSq+m3Rdn8MbR1fQCTnwu1p1ErCX1ldyXttSR1lAD21Z2h98G9CgD7mQHTdm7At/iAHE47QO7A7fQJ7FJt9QKj5RHIu3HNcnexwcVATm1Q4KJx1jnPRci4IgiAINpOYl8SqS+s5lXoGV40LDzUaSUfftiV2YZcLctEfXIYxcgeSgyva3s+gCmonntsVqoU4swe/5XVlra4VPezO0ll7Ae3eaFo5ubLJz4v1UVvZFbefgfX70NWvAyqFSNnuFeInLdyTAnycrSO2X0/O3Zw1tgxJEARBEO5Jmfos1l3ezL6EQ9gp7QgPGkCvgK5olMXPy7JswXR+D/oDS5H1eaib98Ouzf1IGjFvtFD9ZFocWa1ry9+6MH6Z6Ifq2E4evHycrkoLG7wt/Hl+NduvbCO8wRDa+ISJm0/3AJGcC/ekQG8nNh+OxWS2kJkrWs4FQRAEobKlF2TwT+wedsbtwyJbuM+/CwPq9cZJ41ji+ua0WAp2/4wl6SJKnwbYdR2P0jOgkqMWhPJnRIVTo07oPJshG/U0iDlBvcsHOJN4hvXuJn488wdbzq6ij087whr0QqV2sHXIQgURyblwTwrwdsJklklMyyczV49SIeHsKFrOBUEQBKGiXc6KZlvsLk6knAagjXdLhgT1o5Z98cHeAGSDDv2RVRhPb0ayc0Tb4wlUoV2QJEVlhi0IlUJS26EObo86uD1tDDqaRx/nQNQ/bLak8mPiTtxit9MVFzp5tcI5sCUKzwDxt1CDiORcuCcFXBuxPSY5h4wcPa5OGhSiq5AgCIIgVAizxczxlFNsi91NVHYM9iotvQK60cO/Mx5a9xK3kQ35GCK2YTy9CVmXg7pxD+zajULSiqlPhZqn5JHjnaFOP/w792OYQce+k+vZEL2ftaYcNqXvpG3UJroZlAQEtMA+qCUmuxZ4eZV8k6u0CvQmcrJ1d1WGcOdEci7ck3w97FGrFMQm55KZqxfTqAmCIAhCBcg15LE5+h/+ubqHTH0WXvaejAm9nw6+bdCqSj73WnTZGE9twhCxFYw6lAHNsWszHKV3UCVHLwiVp3QjxyuBLkgOWUi+l9jrmcxeIDTtNPdd2k/9AiOpZmcumXy4aPThksmbdIsTUPoGqDWfDiPnLo5DuDsiORfuSUqFgjq1HIlJKkzO/TxLfr5NEARBEISyMVvMnMu4yOGk4xxPOYXebCDULZixDYfT1LMRipt0wbXkpGI4uR5j5E4wm1AFtUUTNhhlrXqVewCCUMXJ+a7kX24NsQWofGI45x3LeX81Djo1DbMtdMuLpaPdRQAyzA5cMvkU/jd6k2RxpSzJulC5RHIu3LMCfZw4ej4Vs8VCk3oetg5HEARBEKoti2zhclY0R5KOczT5JLnGPLRKLZ0D29KhVnsCnP1uuq05Ix7DiXWYLuwHQNWgM3Zhg1C41a6s8AWhejJqMV0NxRQfjNIzDotXHMd8sjiGK8ocZ/yy1LTK1dFUnUhbuysA5FrsuGLy4orJmysmL2JMtTBRfLpCwTZEci7cswK8ndl5IgEANycxGJwgCIIglIUsy8TmxnE46ThHk06Soc9ErVDTvFZj2viE0dSjIX6+HqSkFO8kKxsLMEUdxXhxP+bYU6BUo27aC02LASic7u6ZWUG451iUmFMCMacEItnlofRMxOKRQKx/OjGyxMqsethnuBOaYyZEmUp9VQrNNVcBMMkKYs0eXDEWJuum3EwQybrN2Cw5P3PmDGPGjOH06dO2CkG4xwV4/zugjLuzeOZcEARBEG6nwFTAhczLnMu4SERaJMn5qSgkBU08QhkaPIAWtZqgVWlL3Fa2mDBfPY3xwn5M0UfBZEBy9EDTagjqZn1R2LtU8tEIQs0j6x0xxQdjig9Css9F6RmP0jMRg1sapywKTmR5Ys4Owy7bmfqmPIJUKdRXpdBNG0kv6Qwxn+9AcvZC6R2M0jsIpU8wCs9AJKXa1od2T7BJcq7T6XjvvfcwGo222L0gAP9JzsWAcIIgCIJQjMliIio7lnPpF4jMuEhUdgwW2YJaoSLYtT69A7oT5t0cJ3XJY7fIsgVT4nlMF/djunQQWZ8Ldo6oG3RGFdIJpW8DMQ2UIFQICVnnjOlqQ0xXQ1E4ZaL0SEDhlorGPQUZuGSw43y2J5bs5pDlhr8ln1kjvMm+HIE58TymS4WPmqBQoagVeC1hL0zaJWcvJDHTUbmzSXL+4YcfMmHCBI4ePWqL3QsCAPZ2Krzd7EnO1OEmWs4FQRCqJU/Pyp1Wq6ZPM6Qz6biaE090zlXOZ1ziQuZlDGYDEhKBLv70CexBI/cGBLnWRX1DS5qziz1au8LLSnNeFrqYCAqiI4i9eARTVgqSSoNDaDucmnbDIThMtMIJQqWSsOS6Y8l1hxiQNPkoXNJRuKaidE1FVSsegESdI8vVTvi16EqA8wN4WpTIKZexJF/GnHwJY+QOjKc3FxZp54iyVj2UteqiuPZVcvESN9vuUqUn51u3bqWgoIABAwZU9q4FoZgAb6fC5Fy0nAuCIFRLT8zaRHJG5SXLNWmaoVxjHldz4onNiSM2J46YnKuk6NKsy30cvOjo25aGHiGEugXhoHYosRyLLhtT6ml+WrSGBqokaqsyASiQVVwy+nDU0JVThgD0yWrYHQ/EV+hxrfl0WIWWLwjVnWxwwJzqgDnVHyNyYfd311QULmn8E7UfvUkPgJ1Sg79THQLd6xAQ2I8Ap9rUKtBDyhUsqdGYU6MwnNoIFnNhwWr7a8l63cKv7nVQuNVGUomxnUqrwpLz9evX88EHHxR5LygoiNzcXH766ac7Lrc875B7eTmXW1k1XU2tq/vaBmCSZQL93cutzJpaVxVB1FXpiboqPVFX95Ze2gjStLkYZDV6WYUeFfrr38tq8mQ78ix2GFBxL04fZLaYydBnkaJLJSU/rfCrLpW43ETSCzKs63lqPQhwrkPH2u0IcK5DgLMfLprif0uyPg9LRjzmjDgsaTGYE85hyYgjD+hgp+KS0ZtD+UFcNPoQa/bEgmhFE4Sq7Vr3d50zJNZnycQhnI6+REz2VWJzC2/c7Yk/gMFS+DiyWqGmjlNtfGt54xXYnVp27ngazXjkZmGXHo85NQrjmW0YzdceX5YkJGdvlO5+hcn69a9uvkgq0Tj2XxWWnA8cOJCBAwcWee/PP//k66+/5uGHH7a+N2zYMH7//XecnEqXdKel5WKxyHcdn5eXc4mjhwrF1eS6ahroRtNAt3I7vppcV+VN1FXpiboqvapWVwqFVOndrquSNWvWsGDBAkwmExMmTChy/gc4e/YsM2bMIC8vj7Zt2/LOO++gUpXt0qSz3Xlkh+TbrmeUFeTJWvIsduTJduRa7MiX7ciVteRatOTKduRY7MmT7cixaMmT7ZCreGIpyzIF5gKy9DlkG7LJ0ueQZcgmoyCTFF1hIp6my8Asm63bqBVqvOw9qe8SSPc6nQh09sff2Q/HG1rFZVkGQz7mpIuFSXhGPJaMOCwZcch5/yb0qLUofULQNOhErSZteOCzCJGMC0I1p1IoqeNUmzpOtelEO6BwqsTk/BRirvWyuZoTT2TGBfYnHi6yraPaAS//WniFhOApaXA2mnDW5eGUm4lTdiKOMSdRWj+PJCRnTxTOXiicayE510Lh7PXvVwfXe7KLfKV2ax89ejSjR4+2vm7YsCGrV6+uzBAEQRAEQagESUlJzJ07lxUrVqDRaBg7diwdOnQgJCTEus7UqVOZNWsWYWFhTJ8+naVLl/LQQw+VaT+zsoaTlpGLnWTCTjKiwWT9XisZcZT0OCj0OEl6HBUFOEp6HCU9dVQZhcskPYoSGtQtMjck74WJfJ7FjrRt2ejNaiStE5Kd07WvjkgaBySNFlRaJEXZLyjNFjN6swGdSUe+SUe+8dpXU/4N3+vIM+SRZcghW59NliEHo6X44LpapR1e9p7UcfIjzKs5Xva18LL3pJbWHVdUYCxA1mVhyctAjr+CnHcUXV4Gcn5m4Xt5GXCtWysASg0K99oo/RqjcK+D0r0OCvc6SM6e1otnrZczFs6W+bgFQaj6FJICX0cffB19aO/b2vq+wWwgVZd+rUdOGin5hV8vZUdzuCATmWsNqkrAHST3WjiptDhLGlxkCSejCa0xB/uMJLSJOhzMFuwtMvYWC/ayAgd7NxwcPFDbu5DqUQs99kj2Lii0LkgOLkhaFyR7FyR1zWmBF/OcC4IgCIJQ7vbu3UvHjh1xc3MDoH///mzYsIHnnnsOgLi4OAoKCggLCwNgxIgRfPHFF2VOzlHrMauN5AP5qJAkJXD9Qk3+94ssX3t57T2p8KuEBXuFHnuFAQep8Ku9Qo+90oBW0qNVGAqTfikXtTKTXafjsMgWzJKEBbBIYJEkTBKYJAmTJGFWKDGpVJiVKkwKJSalErNCgUGSMEgyBsCAjEGyYJAtGLBg4ta9AhVI2EsqHBRqXBUaAlDTVFULF1Q4o8RFVuAiSzibJbRGI+TpkA1XwHAG2ZCPbNCBSU9eiYUrkRzckBzdUXoGIAU0R+HojsK1NgqPOkhOte7ohoMgCDWbRqnBz8kXPyffYsvMFjPZhhyyDTlkXbuZeP2mYmFPn2ySlHnkqwzoNSrgZo+kpSPJ6ajTrqCxWNDIoLHIhf/lwq9qQCUpUUpK1AoVKoUKlVKNWqFGpVSjUmpQKlUori1TKFQolWqU174qFGqUSjWSpEChUKGQFCgUSiSFsvCrpER57XskCQkFkiQhSYpr/6VrNyqlwn8KqfB7qfCrAunadqDR2N2yR51Nk/Nz586VeRtFSbe371B5llXTiboqPVFXpSfqqvREXZVeVaqrqhRLZUtOTsbLy8v62tvbm5MnT950uZeXF0lJSWXej1+bSLS6zLuK9Ua6a/8L2fFvol96CiRUSCgpbDBSyaCUZVQWGQcZ1BYZtWxBbbGgMVtQyxZU1y407cwyWtmC1gJac2ELkvba+tK1tJ4bU2xJCQoFKFRISiUoVKBUI6m14OiKpNYWfq/WImm0117bI2kdkexdwd4Vyc6hXLqPervb33UZ5UXEUlxViQNELDdTVWIpj3OXQqHCU+WOp8Ptx3WyWCzozAXoTIX/C8wFFBh16MwFFJj0GC1GFBrIzsnFYNIV/jfqMVoMGMxGCixmzLIFExbM1252mrl+K9Z07f/1nV37byohkErgYe/GewFTb7q82rWcu7uXPI/mnbiXnwMsK1FXpSfqqvREXZWeqKvSE3VVNVgsliJz4MqyXOT17ZaX1nt9bn6RI1Su72f2s3UIViKW4qpKHCBiuZmqEottzqMuNthn1SP6KAmCIAiCUO58fX1JSUmxvk5JScHb2/umy1NTU4ssFwRBEIR7jUjOBUEQBEEod507d2bfvn2kp6ej0+nYtGkT3bt3ty6vU6cOdnZ2HDlyBIDVq1cXWS4IgiAI9xpJluW7n5dMEARBEAThP9asWcPXX3+N0Whk1KhRTJw4kYkTJzJlyhSaN29OZGQkM2fOJDc3l6ZNm/LBBx+g0WhsHbYgCIIg2IRIzgVBEARBEARBEATBxkS3dkEQBEEQBEEQBEGwMZGcC0IVcfXqVRo2bMiff/5Z5P3vv/+e119/vdLjWbFiBZMmTSpxmU6n49NPP2XQoEGEh4cTHh7O3Llz0el0Ja5/3aZNmxg7dqx1u2effZbIyMiKCF8QBEEQqjWz2cyPP/7IiBEjGDZsGIMGDeKTTz7BYDBUyP4OHDjAkCFDKqRsQRBKRyTnglCFKBQKPvroIy5fvmzrUG7KZDLx+OOPo9PpWLFiBWvWrGHp0qXk5eXx+OOPYzKVPHHkokWL+PLLL5k9ezZ///03a9asYcyYMTzxxBNERERU8lEIgiAIQtX29ttvc+zYMX7++WdWr17NsmXLuHLlCjNmzLB1aIIgVJBqN8+5INRkWq2Wxx57jFdffZXFixcXGxgpJyeHd955h8jISCRJolu3brz88suoVCqaNWtG7969iYyMZM6cOTz00EM89thj7N27l/z8fJ577jk2bNjA+fPn8fb2ZuHChTg4OLBs2TKWLFmC0WgkKyuLiRMn8tBDD900xs2bN5Ofn8/06dNRKArv79nb2zNjxgzuv/9+Nm3axKBBg4psYzAY+Pzzz/nhhx8IDg62vt+jRw8mTpzIvHnz+Pbbb8uxJgVBEASh+rp69Spr1qxh9+7dODkVzjnt4ODAO++8w9GjR8t0PfDggw8Wee3g4MDs2bPJzMzEbDYzbtw4Ro0aVWT/typ/x44dzJkzB4VCQePGjdm7dy+LFi3i4MGDLFu2DJ1Oh5OTE19//TVvv/020dHRZGZm4ujoyJw5cwgKCmLcuHE0bdqU48ePk56ezpgxY0hNTeXgwYPodDrmzZtHw4YNbVH1gmBTouVcEKqYp59+GgcHB+bOnVts2axZs3Bzc2PNmjUsX76cc+fO8cMPPwBgNBrp2bMnGzdupHnz5hgMBmrVqsWyZcu4//77mTlzJjNmzODvv/8mNzeXrVu3kpeXx59//sk333zDqlWrmDt3Lp988skt4zty5Aht27a1JubXSZJE586dOXr0aLFtLl68iMFgoGnTpsWW3WwbQRAEQbhXRUREEBISYk3Mr/Py8qJ///5luh648XXjxo2ZMmUKr7zyCitWrOC3337jhx9+4Pjx40X2c7PyMzIymDZtGp988gmrV6+mQ4cOJCUlWbe7ePEiv/76K7/++is7d+7ExcWFJUuWsHHjRpo1a8bvv/9uXTcuLo7FixfzySef8Mknn9C+fXtWrFhBt27d+O233yqucgWhCqtRyfn8+fMZPHgwgwcP5uOPPwZg7969hIeH069fvxKTnWnTprFixYoi7/355582eca3MpVHXR0+fJgRI0YQHh7O5MmTycrKqrT4K1N51NXKlSvp2rUrw4YNY9iwYSVuc51CoeCTTz5hxYoV7Nmzp8iynTt38sgjjyBJEhqNhrFjx7Jz507r8rZt2xZZv3///gAEBgYSGhqKj48PCoUCf39/srKycHR0ZOHChezYsYN58+axcOFC8vPzy15J1xw7doy//vqrWF298MIL6HS6Eo/7s88+sz4/l5aWZq2jYcOG0atXL1q1anXH8VRl5fF7dfLkSUaOHEl4eDiTJk0iJSWl0uKvTGWpqy1btjBs2DCGDh3KM888U+xzad68eXz55ZeVGr8glEZNPqceOXKEUaNGMWzYMCZMmEBcXJytQyp35f3ZolAosFgsN11e1uuB66+joqKIiYlh+vTpDBs2jEceeYSCggLOnDljXXfNmjX89ddfbN26lUWLFhUp//DhwwQHB9OoUSMAhg8fXuQGQsOGDa2vBwwYwPDhw/n111+ZNWsWBw8eLHKN0bdvXwACAgIA6NatG1B4zVJRv/+5ubkMGTKEq1evVkj5tlTSubKm+Pzzzxk0aBCDBw/mxx9/tHU4FarGJOd79+5l9+7drFy5klWrVhEREcHatWuZPn06X331FX///TenT59mx44dACQlJTF58mQ2btxoLUOv1zNnzhzef/99Wx1GpSiPugJ44403+Pjjj1mzZg0hISF8//33tjicClVedXX69Glef/11Vq9ezerVq3nppZduud/atWvzzjvv8Nprr5GRkWF932KxIElSkdc3PuPt4OBQpBy1Wl3i99clJiZy//33ExcXR5s2bXjxxRdvWyetW7fm0KFD1ouG3Nxc8vLy2Lt3L5GRkbz++uu88MIL/PHHH/Ts2ZPJkyezcOFCnJ2d2b9/v7WuIiIimDx5Mrt27SIwMBAAT09Pax2tXLmSOnXq8O677942puqmPH6vZFlmypQpTJ06lTVr1jBs2DDefPNNWx1ShSlLXeXm5vL222/zzTff8Ndff9GwYUPrxXJOTg7Tp0+v8Sd1ofqqyefUqVOnMmvWLFavXk14eDizZs2ydUjlpqI+W1q0aMHly5fJzc0t8n5SUhJPPfVUma8Hrr82m804Oztbz7WrV69m6dKljBw5EigcV2bu3Lk4OzuzYMEClixZwsWLF63lK5VK/jsL84096W7c76JFi5gxYwZarZbw8HCGDBlSZNv/PrpX0nVKeTpx4gQPPvggUVFRFbofWyjpXLl582Zbh1UuDh48yP79+/nrr79Yvnw5v/76a5Uem+lu1Zjk3MvLi9dffx2NRoNarSY4OJioqCjq1q1LQEAAKpWK8PBwNmzYABTeFezduzcDBw60lnE94Zg6daqtDqNSlEddAfz999+EhIRgNBpJSkrCxcXFFodTocqrrk6dOsXKlSsJDw/n1VdfLdUd4QEDBtC9e3d+/vln63tdu3blt99+Q5ZlDAYDS5cupXPnznd8fKdPn8bDw4NnnnmGrl27sn37dqDw5H0z/fr1w8nJiffff5+CggLOnj3LiBEjWLBgAXXq1GHo0KH069eP4cOHM3LkSFq1akVwcDCvvPIKiYmJ/Pnnn5jNZl544QXi4uJQKpXWu+c3Wr58Ofb29oSHh9/x8VVV5fF7lZGRQUFBAR07dgSgZ8+e7N69u8JG8bWVstSV0WjkrbfewsfHByhswUlISABg69at1KtXj8cee8yWhyMIN1VTz6kGg4EXXnjB2tJ6499lTVBRny0+Pj6Eh4czffp0a4J+/Qakm5vbHV8P1K9fH61Wy+rVqwFISEhgyJAhnD59GoD8/Hw6duxIt27dWL58Of369WPdunXW8lu3bk1UVJR1ppWNGzeSnZ1d5EbBdbt372b48OGMHj2a+vXrs23btlteX1S0pUuX8tZbb+Ht7W2zGCpKSefK+Ph4W4dVLtq3b88vv/yCSqUiLS0Ns9lc7OZTTVJjkvMGDRoQFhYGFHbZWb9+PZIk4eXlZV3H29vb+lzMk08+yejRo4uU0bVrV6ZNm4ZWq620uG2hPOoKCu9wnjt3jh49enDgwAEGDx5cKfFXpvKqKy8vL5555hn++usvateuXerW4JkzZ+Ln51fkdXp6unX6svr16zN58uQ7Pr4uXbrg4+PDgAEDGDhwIAkJCXh4eBAdHX3TbVQqFd9//z329vYMHz6cd955x3qMWq2WXbt2lVhXY8eOZdSoUezfv5+hQ4eiUCjw9vbGwcGBs2fPotfrrfswm80sXLiQV1555Y6PrSorj98rd3d3HBwc2L17NwDr1q3DaDQW6WlRE5Slrtzd3a03egoKCvjmm2/o06cPAPfffz9PPfUUSqWy0o9BEEqjpp5TNRoNw4YNAwpbd+fPn2/9u6wJKvKz5a233iIkJISxY8cybNgwRo8eTUhICLNmzbrj6wGNRsNXX33FsmXLCA8P5/HHH+eFF16gTZs2QGHLuZeXl7X8JUuW8Msvv1jLd3Nz47PPPuO1115j+PDh7N69G5VKhb29fbF9Pf744yxZsoTw8HAefvhhmjZtSkxMTLnXU2nNnj27WHf/mqKkc2WPHj1sG1Q5UqvVfPHFFwwePJhOnTpZb8LXRDVutPYLFy4wadIkpk2bhlKpLNJ1RZblEu/s3avKo64aNmzI3r17Wbx4MS+99BKLFy+uwIht527r6n//+5/1+yeffLLElmJ/f3+OHTtW5D0HB4ciXZnd3d359NNPS9zHuXPnbvp6wIABDBgwwPr6iy++sH6/cOHCIttdv3EQFBTEiBEjStyXvb09r7zySrHkOSUlhT179vD444+XWFetW7fm+PHjRbprTps2DRcXlyLd23bt2kW9evVq/Eitd/N7JUkSX3zxBR999BFz5sxh2LBhuLm5VXi3QFspS13l5OTw7LPP0qhRI4YPH26DaAXh5tavX88HH3xQ5L2goCB++umnan9OvdWxGQwGXn/9dUwmE5MmTbJRhHfuVsdWUVQqFVOmTGHKlCnFlmk0mju6HgBo1KgRv/76a7HtOnTowLhx49Dr9dbrjaVLl3L69GlmzpwJFLbe79q1i8WLF2Nvb09ERATbt2/H3d2dESNGFLluaNu2LX///XeJMd64fw8PjyIxPvLIIzzyyCMlbifc2o3nynr16tk6nHI1ZcoUJk6cyOTJk1m6dCkPPPCArUOqEDUqOT9y5AhTpkxh+vTpDB48mIMHDxYZICklJaVGdmW5E3dbV3q9nl27dlnvfg8dOpSPPvqowuO2hbutq5ycHJYvX86jjz4KFCYSNbX1LiYmhk8++aRMdaVQKGjSpEmR5GrLli3FpmOracrj80qlUlkvcNLS0vjqq69wc3OryLBtoix1lZyczBNPPEHHjh2ZPn26rUIWhJsaOHBgsUef9Ho9W7Zsqfbn1JKODSAvL4+nn34aNzc3FixYUC1vIt7s2GoaX19fDh8+bH3933ORk5MTarWaUaNGoVKpUKlUzJs3TzR+VQH/PVfWFJcuXcJgMNC4cWPs7e3p169fsRtONUmN6daekJDAs88+y5w5c6y/kC1btuTKlStER0djNptZu3Yt3bt3t3GktlcedaVSqXjnnXeszyitX7+e1q1bV0r8lak86srBwYHvvvuOEydOAPDbb7+V2HJe3ZXn3+Dx48drbNczKL+6mj59OidPngTgxx9/ZMCAAcWmuKvuylJXZrOZyZMnM3DgQGbMmCEuFquIW42OfH3Miv79+zNjxowiA1rdS2r6OXXq1KnUrVuXefPmFRsETKhaOnfuzL59+0hPT0en07Fp06Zi56KXXnqJdevWsXr1apYvX16jz9fVRUnnypri6tWrzJw5E4PBgMFgYOvWrdbHMGqiGtNy/v3336PX6/nwww+t740dO5YPP/yQ559/Hr1eT48ePYp07b1XlUddKZVK5s6dy//93/9hNpvx8fFh9uzZlRF+pSqvupo3bx5vv/02BQUF1KtXr8ZNcQHl+zcYGxuLr69vRYZrU+VVV2+//TZvvfUWOp2Ohg0b3vN/g1u2bOHMmTOYzWbr4yDNmjWrkfVSXZw4cYKZM2fedHTk66N4h4WFMX36dJYuXcpDDz1UuUFWATX5nHrmzBm2bt1KSEiI9TETb29vvv32WxtHJpTEx8eHl156ifHjx2M0Ghk1ahQtWrSwdVjCbdzsXPnggw/aMKry0aNHD06ePMn999+PUqmkX79+Ne4GxI0k+b/zIQiCIAiCIJSDGTNmMHz4cKZNm8Yvv/yCv7+/dVlcXBwTJkxgy5YtQOE831988QW//PKLrcIVBEEQBJuqMS3ngiAIgiBULbdq/U1OTi4y6r6Xl5d1hgJBEARBuBdVu+Q8IyMPi6V0jf2enk6kpeVWcESVQxxL1SSOpWoSx1I11ZRjKctxKBQS7u6OFRxR9WSxWIqMC3CnM6qU5brgv85EZ7Bo83kMxn/nXtaolTzUN5Qmdd3vqMx7QU35W64Moq5KR9RT6Ym6Kr2qWFe3uy6odsm5xSKX6SR8pyfsqkgcS9UkjqVqEsdSNdWUY7FYZPZFJLJixyXSsvV4utgxokcwnZrW3LESypuvr2+RUfdTU1PvaEaVsl4X3Ci0jivO9moiU3KRZbBTKwnycyG0jmuN+V2tKKJ+Sk/UVemIeio9UVelV93qqmYN6ysIgiAIlWBfRCI/r48kLVsPQFq2np/XR7IvItHGkVUfderUwc7OjiNHjgCwevXqSp9RRaGQeOWBMPw8HfH2sGfSsKa88kAYCoUY6V8QBEGofGVKzpOSkorMfSgIgiAI96IVOy5hMFmKvGcwWVix45KNIqo+Jk6cyKlTpwCYM2cOH3zwAQMGDCA/P5/x48dXejwKhYSTvRpvdwfCQmqJxFwQBEGwmdt2a1+0aBFHjhxhxowZjBgxAicnJ/r168crr7xSGfEJgiAIQpVzvcW8tO/f67Zt22b9/sYptBo1asSyZctsEZIgCIIgVDm3bTlftmwZb7zxBhs2bKB3796sW7eOPXv23NVO58+fz+DBgxk8eHCNnO9ZEARBqNk8XezK9L4gCIIgCMLt3DY5lySJWrVqsW/fPjp27IhKpcJisdxus5vau3cvu3fvZuXKlaxatYqIiAg2b958x+UJgiAIQmUb0SMYjUqBnVmPUi4c6VujUjCiR7CNIxMEQRAEobq6bbd2jUbDt99+y8GDB5k1axaLFi3C3t7+jnfo5eXF66+/jkajASA4OJj4+Pg7Lk8QBEG4d1X0iOmyLGPOzsaYkowxORlDchLp2RnUiY3jxYREFAX5RNv7sKnxUDFauyAIgiAId+W2yfns2bP5/vvv+eijj3B1deXIkSPMmjXrjnfYoEED6/dRUVGsX7+eP/74o9Tbe3o6lWl/Xl7OZVq/KhPHUjWJY6maxLFUTeV5LP8cieWXDefQX5ujOi1bzy8bzuHirOW+NgGlLke2WDCkZ1CQkIAuIZGChAQKEpMoSEhEl5CApaDg35UVCuxq1ULr64NraFfsa/vSqk0rHgoMLLfjEgRBEATh3nTb5DwoKIg333yT6OhoZFlm1qxZd9Vyft2FCxeYNGkS06ZNo169eqXeLi0tt9Tz1Xl5OZOSknOHEVYt4liqJnEsVZM4lqqpvI/lp7UR1sT8Or3RzE9rI2ga6FbkfdlsxpiehjE5GWNyUmEreMq171NSkI3Gf1dWKlHX8kLt5Y1L52DU3j6ovb3ReHuj8qyFj59HkePIA/JuclwKhVTmm8qCIAiCINybbpucHz9+nOeeew6VSsXixYsZNmwYCxYsoHXr1ne80yNHjjBlyhSmT5/O4MGD77gcQRAEoXopz27o/x0ZXSmbcTXm4paQQ8aWPIzJSRiSC7ujG9NSwfxvIi+p1ai9vFF7++DYrAVqb2/UXt5ovH1QeXggKZV3dZyCIAiCIAhlddvk/OOPP+ann37i1VdfxdfXl48//pjZs2ezfPnyO9phQkICzz77LHPnzqVTp053VIYgCIJQ/fxzJJaf10da5wdPy9bz8/pIgFIn6Ba93trq3VMXiSYnA3djDu7GHFxMeVyfoTplMSi0WtTePtgFBuLcth1qL69rreA+qFxdkRS3HRNVEARBEASh0tw2OS8oKCAkJMT6ukePHsydO/eOd/j999+j1+v58MMPre+NHfv/7d15XFT1/j/w1+zDDuIMoOXuVVPcvbgVaguSAol6I7zhkppWalb8IrW6pbmXlV69aXuZpmZ5zSW/WXZLvG7Vdc8td2TYYVhmPb8/gJGBGWZYZwZez8ejHjPnfOac9+dzHOB9PstJwGOPPVbrYxIRkfv7dM9ZS2JeTm80Y/tPl6ySc1NRIQyajLKe79Ih6IYMDfQaDUx5uZZyEQCKJQpkS/1wQ6lGjswPBcoADL6vB/oM7AaJrx9EIhGIiIiIPIHD5FwqlSIvL8/yB87ly5frdMIFCxZgwYIFdToGERF5nsyc4tIXggAvsw5B+gIEGfIRlFWAtA2nYMgoHYZu1mqtPicJCIRcrYZPj3DIVCrIy3q/ZWoVjvxZgN2VhskP4IrpRERE5IEcJuczZszA3//+d2RmZuK5557DwYMH8frrrzdGbERE5KEEsxnGvLyyBddK532PzzoD76JcBBoKoDTfWYBNAFB8MRhydQj8+vW3zAWXl80DFysUds8zqLsPH19GRERETYLD5HzEiBHo2LEjDh48CLPZjKeffhodO3ZsjNiIiMgNlS/qlp1XjLZKAx7u4otO3gbLc8ANGRkwZGgg6PV3PiSRoH1AC1yReuGGUo1cmR9yZH7QKgMQO7ofBvW6y3UVIiIiInIDdpPz06dPW73v1asXgNI56KdPn0b37t0bNjIiInI5wWiEITPTMvf72rk/kXfhGuL1+Qg0aCGBGTgNaFBxBXQ1fO7pXuERZKUroKtDA5F94AK+r6fV2omIiIiaErvJ+axZs+x+SCQSYf/+/Q0SEBERNZ5Dp29jx49/wJyViTayEgxpLUMrcXHZiujpMGZlAYJgKS8Ry+At80OGPAjnfdogR17aAy4KCsarsx90uAL6oO6hTMaJiIiIbLCbnP/www+NGQcRETUgU1GRZe63vmweeNafN6BIT8cUY9GdgpeBHKU3vFuFwqtjJ8gGDbHM/ZapQzD9n0cBWyugl4CPJiMiIiKqA7vJ+YYNGzBt2jQsWrTI5n6uuE5E5D4EQYBZq6306LGy1xoNTNoCq/KSgEBkGRXQeIUhV+aHbJmfZR64b5A/Vjw1xOZ5ggOUyMrXVd3ub3/RNiIiIiJyzG5y7ufnBwAIDAxsrFiIiKgagiDAlJcLfVnCXfoccI1lRXRzcfGdwiIRpEEtIFOr4du3H2Rlvd9ydQhkKhXESiXeWGp7hJTORvJdLj6yIz7Zc87qeeVyqRjxkVwolIiIiKgu7CbnCQkJAIAWLVogMTHRat/69esbNioiomZKMJthzMm2DD/XFuQg/+pNy1D0yiugy4JbQqZWw6tTp9IF2FRqnM4XY/v/cpGhNSLYW4H4frYXXQv2V9S4F7z8ONu5qBs5YefOnVi3bh2MRiMmTpyICRMmWO1fs2YNvvrqK/j7+wMA/va3v1UpQ0RE1FzYTc43bdqEkpISfPzxx9Dp7vzxZjAYsHnzZkyfPr1RAiQiamoEoxGGrEyr+d/lr42ZmRCMRkvZ0hXQVZCpQ+B9T/c7879DQiBrEQyRRGJ17EOnb+OTw3d6trPydfhkzzkAqJJA17YXnIu6kTPS09OxatUqbN++HXK5HAkJCYiIiECnTp0sZU6dOoW33noLffr0cWGkRERE7sFuci6VSnH+/HmUlJTg/Pnzlu0SiQQpKSmNEhwRkacy6/Wlz/vWpEOvSceNP64i88/r8C3Og7+xEGLcWQFdpFDC4B+EawYvaHy7QO/fAr3+2hW9/9oVYZ3bIDOrEMCd54tnHc5AsH8+4iPNVZLk7T9dskq2AUBvNGP7T5eqlGUvODWk1NRUDBw40DI9LioqCnv37sUzzzxjKXPq1Cm89957uHnzJgYMGIAXX3wRCgXXLyAioubJbnI+fvx4jB8/Ht9//z0eeOCBxoyJiMgjmIqLy3q908t6vu/M/zbm5FiVFcQKiGW+uKVsidOyDshX+mPwvT3QJ6Ibjl4vwid7/7BKqo+dMmDi3QbEdildAf3Q6dtWvdz2esRtDVOvbjt7wamhaDQaqFQqy3u1Wo0TJ05Y3hcWFqJbt25ITk5G27ZtkZKSgrVr12Lu3Lk1Ok9wsG+dY5XJS0egqFR+dT5Wc8G2ch7byjlsJ+exrZznaW1lNzkv17t3b6xZswa5ublW27laOxE1dYIgwFxYWLbqeToun7qMm+evwKsoD8HGAngZS6zKm719oRH5IEMcBF1YB3Tp3Rnd+/4Fi3b+iVtFVR8/duOiCQMeCsD2jafs9nbHDusMwPke8drMIydqCGazGaIKj90TBMHqvY+PDzZs2GB5P2XKFMybN6/GyXlWlhZms+C4YDUMehNkcgkyMgocFyaoVH5sKyexrZzDdnIe28p57thWYrGo2pvKDpPz5ORkKJVK3HPPPVa/VImImoLSFdDzLHO//zx9GWkXrsK7KA8tjAVQmO4swOYNQC31Rq7MD39434UCRQB6R3RF975/wW9ZwCf7/7RKoP/zpxgTu3rbTMyBO73ZzvR2O9sjztXUyV2Ehobi2LFjlvcZGRlQq9WW97du3UJqairGjRsHoPS7KJU6/LOEiIioyXL4W/D27dvYs2dPY8RCRFRrlvnY+TqogrzwyND2GNQ9tHT7gYswZGejrbwEkW0UuFtagtuXrkF7Mw1+JfmQC3cWYFNChBYyX+RIfXHKtz0KFP7oO7AbvrtQhKs6OYxi6x+b524psOKRttj+7UG7PduOerOd6e12tkec88jJXQwePBirV69GdnY2vLy8sG/fPixcuNCyX6lUYsWKFYiIiMBdd92FjRs34sEHH3RhxERERK7lMDlv1aoVioqK4O3t3RjxEFEzUzGprphI1mQ7AHy2+wyUxflobyhAUG4Brlz8GWKlDsjKxGR9AaQoS5wvAFliCbRSX2RL/XDZPwQ5Mj8UKANQ5B2ANJMSZpHYKsYLNxTIMgAQowpner+nxdxTbW+2M73dNekR5zxycgchISGYO3cukpKSYDAYMG7cOPTs2RPTpk3D7NmzER4ejtdffx0zZ86EwWBA3759MXnyZFeHTURE5DIOk3O1Wo1HHnkEf/3rX6FUKi3bOeeciOrK3iJnF2/k4uDJ21W2X7qagTO/XUJQSR466AsQpMlHwR+7EGQowGy91moFdL1IilyZH3JkAbjgfRdyZH7IkfkjV+aLQpk3TLYybTMAGyPQy28E1Lb321FvtjO93ewRJ08UExODmJgYq20V55lHRUUhKiqqscMiIiJySw6T89atW6N169aNEQsRNXGVe711BlOVoeDQ63D28Cm01xcgyJCPQEMBgsr+8z9XhL9WKFoiliNb5oeb8mDk+LQrS8ZLk/BCiRKop3UyyhPhuvR+O+rNdqa3mz3iRERERE2Xw+S84vNIyxUVFTVIMETkvmo6zNzWtvLkVWnSQa7JRIghH4EGLYIM+QgyFCDQUABfk/UK6IUSJXJkfrjqFYocmT9yZH6WJLxEUv0K5GIRYGsRZ3vbfZQSGIyCzQS7Pnq/iYiIiIjscZicf//993j33XdRVFRU+lghsxm5ubn47bffGiM+Impg5cl1dr4OLewk1z07BtscZm5r+PmH356BSATI9cVobShAUH4BLnx6GC2MBUgoKU3Cvcx6qxjypd7Ilfrhos9dyJH5I0/mh+yyJFwvllnK1TSpHhIeahWfo+2JD3apUvfKCXhde7+JiIiIiGxxmJwvX74czz77LDZt2oRp06bh+++/h4+PT51OunPnTqxbtw5GoxETJ07EhAkT6nQ8InJO5V5uW0n3h9+egUgsgtEkWLb9+NutKsfSG0z49eh5hOqte77Lh6BXXAHdDBHypD7IkfnhrG+70h5weWnvd57U12oF9PLk+XIdkuqKq7V3uivQZrJtbzsAJthERERE1OgcJudeXl54+OGHcfbsWSgUCvzjH//AqFGj8OKLL9bqhOnp6Vi1ahW2b98OuVyOhIQEREREoFOnTrU6HhFVZW+oeeXF12wl3Sah/H+AWDDD36C1JNzl/wUaChBoLIBUuJMkGyFGrswPuTJfXPMKtRp+nifzgVkksRmrj1KCALnU6eTZmaRapfJDRkaBZZutZJu93ERERETkThwm5wqFAnq9Hm3atMHZs2cREREBUR0WWUpNTcXAgQMRGBgIoHSl1r1799qc205Edzg759veEHS5TFx18TUAErMJgUbrxLv8dYDB1grovsiSB+Ciz13Ik/shW1qahOdLvSGIbKyAXsbe0PPEB7vUKHlmUk1E7s5kFqAzmFwdRoPJzi9Bkc7ouCCxrZzEdnIe28p59dVWCpkEEnH9LDLsiMPkfMSIEZg+fTqWLVuGRx99FMePH0dQUFCtT6jRaKBSqSzv1Wo1Tpw4UevjETUHNXnkmK3ecEGvg3dhAVpXSr4DDfnwNxZZPT2sRCxDjswfaYrgsiHofpb/CiVelhXQy4eZn640zFwigtWw+PKyjuZzExE1FTqDCdduF7g6jAYTWGJCbi4XB3YG28o5bCfnsa2cV19t1SbUD94Kh2lzvXB4lhkzZiA2NhYhISFYu3Ytjh49itGjR9f6hGaz2arnXRCEGvXEBwf71uh8KpVfjcq7M9bFPdWlLgeOX8ene84iM6cYLYO8kBTdDcP63V1le4nOWKXXW28046f/pcFctkKawqSzOfw8yFAAX1Ox1WfLV0C/Xjb8vOJ/BqmySnKtkElwf/+7cPScpkqsfW3UAYDNegFA7LDOtW6vmuC/MffUVOrSVOpBRERE7sNhcn769GkAQE5ODgCgf//+uH37NoKDg2t1wtDQUBw7dszyPiMjA2q12unPZ2VpLcmIIxXnnXo61sU91aQujoafZ+QUY/WW3/Hr2dtVtgMABAHeppJKyXe+5XWVFdAl3siV+eGST2vkSP1Q7BOATIkfMsQ+0IvlAO70fqdfyqp2tfbyHu5xZfvKZWQUoHubQCx7clCV+lbe1pjXvLn+G3N3TaUuNamHWCyq8U1lIiIiap4cJuezZs2yvDYYDMjMzET37t2xbdu2Wp1w8ODBWL16NbKzs+Hl5YV9+/Zh4cKFtToWUWOobq73N78cQkZOsVPP/XZmMbbSFdAvIFRf3uudj6Cy54AHGgqgqLQCen7ZCujnKg0/z5X5VVkBfWJ0VwD2h5VXTjg43JyIiIiIqPE4TM5/+OEHq/eHDx/Gzp07a33CkJAQzJ07F0lJSTAYDBg3bhx69uxZ6+MR1YS9RNvePqBqUm1vrnd12ysuxiYSzAgwFt5JvvVlveBli7JVXAHdBDFyZb5lQ9BDKiTg/ij28sOgnq1tPlrs3vBQnLiUxceEEREREdWQ2Szgclo+NDnFUAd5oUOYP8SNtCAYNW81ntkeERGBpUuX1umkMTExiImJqdMxiOyprqfbVqJdztY+Wyuc641m/PT7LVSeXVFxu0QwIcDyCDLrZ4AHGLSQVFgB3SCSlD1yzB+XvVsjV+5vcwV0H6UEygqPHHvciUeLEREREZHzzGYBWw5cRFpWEQxGM2RSMcKCvfG3YZ2YoFODc3rOOVC6eNupU6dQUlLSoEEROVKbBHz7T5dsJtrbf7pkeV15n61HjwGAWQBkZgMCy4acV34Emb+x0OYK6OmKFjjn266sN9wfOTI/aJ1YAb02jxwjIiJq6tjDSfXtclq+JTEHAIPRjLSsIlxOy0en1gEujo6auhrNOReJRAgODsY//vGPhoyJqFq1TcCz8nU2j2dvOwAoTHrLfO/KK6FXXgG9SKxAjvzO8PPcCnPAxd7eMJhQJeEeYmf4OXvDiYiaNyadjrGHkxqCJqfYkpiXMxjN0OQUMzmnBlfjOedE9aG6ud+OytQ2AQ/2V1TdLwho7S3AX5cPcW5WlceQeZutyxdIvJAn90fR3Z3wu1aGTImvJREXFEoMCQ+1OQf87w9VvxhbZewNJyJqvph0Ooc9nNQQ1EFekEnFVgm6TCqGOsjLhVFRc1Ftcl5YWIjNmzfj119/hdlsRp8+fZCYmIjvv/8eISEhGDSo6uOTiBw5cPy63Z7viouz2StTmwS8jZcRozoqcfjni/ArybcsvhZkKIDCbLhTFLCsgH7Bvy06hXeCKTAY+y4W4apODv9AX0tSLTl9G9/88meV1dqr6/Vmwk1EzcnOnTuxbt06GI1GTJw4ERMmTLDaf/bsWcyfPx+FhYXo378/XnvtNUilNV4Op8lh0ukc9nBSQ+gQ5o+wYG9cT9dCACw3xzqE+bs6NGoG7P4GzM3NxaOPPoqOHTtiyJAhAID//ve/GDt2LHx8fPDpp582WpDUtHy656zdnu/y5LW63nFbCbhIMKOt0oCH28lw5OB5+Oush6JLBRNwCngIgEkkRp7UB1qvQJi7dYWqa3vI1CqczpNg+/9ykKE1WpLqPmXx9LdRj0HdQxE7rHOV5x2z15uICEhPT8eqVauwfft2yOVyJCQkICIiAp06dbKUSU5OxqJFi9C7d2/MmzcPW7ZsQWJiogujdg9MOp3DHs6a4VQJ54jFIvxtWCd8vLe0k+iBfnexrajR2E3OV69ejfHjx2Pq1KmWbRMmTMDs2bMhlUrh6+vbKAFS05OZU2xze8WE21bvuEQwQcjUIKFPEI4fOgc/Xb5lNXTLCuingQcAGEUS5Mj8UOgVAN/wcLTq1h4ydQjkKjWkLVpAJJFUOX4EgIh766uWRETNW2pqKgYOHIjAwEAAQFRUFPbu3YtnnnkGAHDz5k2UlJSgd+/eAID4+Hi8++67TM7BpNNZ7tzDWZ4I51/Mgr+X1OXJHadK1IxYLIKXQgovBXhDzAO52/evJuwm50eOHME333xjtS03NxeXLl2C0Whs6LjITTkzV9xRuZZBXsiwkaAH+ytg1ulgyNCgn/kWJHnZVnPALSugXwOGA9CLZciW+SHXpyWUnfuhffcOkKnUkKlDIA0IgEgsbtjGICIiuzQaDVQqleW9Wq3GiRMn7O5XqVRIT0+v8Xn+teMUcqpZ2NMZ1zQFEIlEWLbx1zodp5xJEKDTm2r9eUEQIBbd+UNSBEAsEuHI2XQcPaephwjrRioVw2jnaSaNTRAESCQiCAIQ4COH2Szgyx8vujymjNwS6A0mCCi9fnKZBKpAJUQi1yQIxTojsvJKLA9yNRjNuJ6uxcd7z8FL4fqpJO70b6qcJqcIALBp/wUXR2LNHdvKnTTE908hl0BST9/dIH8F5k8ZaHe/3W+jSCSCpFLvoo+PD959913MnTu3XoKj+uds8lybz1Q3D7xieUflkoa3xZdbUuFbnGdJvFsYtWiVVoSLT28AADxYdqxisRzZMn9cV6pRoPBHj/5dcE/fv0CmVkPi6+eyX3JERFQ9s9ls9TNaEASr9472O0sqk0AmrzoaqiY63hVYp89XJjKaYZIKjgtWI6ylN4p1RugMZihkYngppG7xOy8tsxAAENbSx8WR3HF3iJ+rQ7BSVGKA3miyJMICAL3RBIPJDG+lzCUxGYsFVP4XKQAwmgVIpa7tzHDHf1MA0ErlfqOE3bGt3C2mhvj+SSXievueSGXV/76q9laZVqu1Gr4uk8ms7nKTe3E2ea7tZ6qbB16x7PYDFyHRFaGVvgBBxgIE6Uvnfxvf242L4iLItFr8vcIxCmXekKvVCGzbGTK1GnJ1CGTqEPyeJeCrw7esbhr041xuIiKPEBoaimPHjlneZ2RkQK1WW+3PyMiwvM/MzLTa76ypD3eD2Vy3RBgAVCq/KmuI1FaRzohrt+vnWO7EbBbw8d5zMJoF9OnU0qOGijam1FO3kZ5tPUJQEIDOrQMxuIdr/o65eDMPO1OvVJkqMaJPa5cP2960/wKkUjHGR3Z0aRyewB3bqnxkgbvE1BDfvzahfvCupxEmjn5m2j3L6NGj8fLLL2PZsmWQy+UAAJ1Oh1dffRWxsbH1EhzZZqsnO3aY47vCzibPtf2M1TxwQYCvqbi05zs/H5nb06DXpMOg0eDxG7egtLMCul/f/ghsfzf0PoGQq9SQqVQQK5U2YxvYDhjYr73DehMRkfsZPHgwVq9ejezsbHh5eWHfvn1YuHChZX/r1q2hUChw/Phx9OvXDzt27MB9993nwoipOuVzlsuHRu9MvcI5y3a445oB5fPzK885d/X8fLNZQLHOCGOxgIs383jDh+rMHb9/NWE3OX/iiSfwwgsv4P7770ePHj0AACdPnkRERASeeOKJRguwubHXk+3vp0T3NoHVfra6R4zV5jOC2Qxjdhb0Gg0MmnQ8nP8blIW5llXQZcKd+XTZ30kga9kSMlUILgb74rbgjRyZH3JkfsiT+cIkkiDYX4GHkobUa+8EERG5p5CQEMydOxdJSUkwGAwYN24cevbsiWnTpmH27NkIDw/HypUrsWDBAmi1WnTv3h1JSUmuDpvsKH+8W8U5y3y8m23umAiXr0DuTqu184ZPzfBGhnPc8ftXE3aTc4lEglWrVuHkyZM4fvw4AGDmzJno2bNnowXXHNnryf50z1kse7L658rbfMZ32XZ7VL5SGLOzEWTIt8z/DjQUoKVJiwszNwKmOwl4uESKLIkvcmS+uOLdCjkyPxQoA3D/g73x14gulhXQr5++jX0VbjAAgFwqRrybDHchIqLGERMTg5iYGKttGzZssLzu2rUrtm3b1thhUS3w8W7Oq5gI55cY4a90j9WixWIROrUOcJvrxRs+zuONDOe56/fPWQ4Hz4eHhyM8PLwxYiHY78m29/ixiuIjO1r1ugNlSfHgu6G7eQMGTXpZL3jpf/qMdEzJyoJIuDNXTyeSIVfuB682bRDUqQ3k6tLVz2UqNaSBgfjvWQ0OVBpyH1Fp+HvFZ5XXZGE6IiIick+ePlS0sZUnwoGB3sjNLXJ1OG6JN3yc5643Msp78/VGs1v15nvy98/1z04gK/Z6v1s6+OVnKipCH98SyDvocfb3C1AU5EAtaBEiFEG8Jh9XK5QV+/hArg6BV8dO8B80BFf1CvzwZwmu6hXwCgpA/LBOCLeTSA/qHupUku1sOSIiInJ/nj5UlNwPb/g4zx1vZLA3v2EwOXcz9nq/k0Z2hamgwLLomiFDc+e1RgOTtnQOtx+AvwKQ+PtDFhICubpjac93+SroKjUkPtaPOmgJoF/jVZGIiIg8jKcPFSX3wxs+znPHGxnu2pvv6ZxOzvPz8+Hvzy9LQxIEAQNaKyANl+P3I+cgy89BiFCItnIdFG9twaXCCsMyRCJIg1pAplbDt29fyFTlCbgaMpXa7groRERERLXhyUNFyf3who/z3PFGhjv25jcFDpPzy5cv45lnnkFBQQG2bduGSZMmYc2aNejYkYt7lbP16DN7Q7oFsxnGnOzSOd+adOt54BkaCHo9AgBEAoBYDFlLFWQqFfz7h8PkF2SZ/y1TtYRYJm/MahIRERER1Rve8HGOO97IcMfe/KbAYXK+aNEizJ8/HytWrEBISAj+/ve/45VXXsHGjRsbIz63Z+vRZ5/tPgNxTiZ6BJhLE/AMjSUZN2ZmQjAaLZ8XSaWlybZaDe97ulstwCZr0QIiaekl4uPHiIiIiIiaJ3e7keGOvflNgcPkPDc3F0OGDMGKFSsAABMmTMCWLVsaPDB3Z9brYcjIwPEdB9ArL8fqUWT+xkKI/xBws6ysSKGAXK2GovVd8O3d9878b7Ua0sAgiMRil9aFiIiIiIjIWRV78zU5xVAHebm8N78pcGrOuU6ng0hU2tAZGRkwm80OPtE0mIqLy3q908t6vsteZ2TAmJMNAHiorGyJWI4cmR9uKVvitKw9cmT+mDl5GGRqFST+AZb2IyIiIiIi8nTlvfmcY15/HCbniYmJeOKJJ5CVlYU333wTu3btwtSpU2t9wuPHj2PJkiUwGAwIDAzE4sWL0bp161ofry4EQYC5sLDK0HPLCugF+VblJf7+kKlD4N21G2Rlw8//9Z80XNErUSJRWJUN9lfAq3PnxqwOEREREREReSiHyfm4cePQtm1bHDhwAEajEQsXLsSQIUNqfcLk5GSsXbsWXbt2xbZt27Bo0SKsW7eu1sdzRBAEmPLyKj16LB36jAwYNOkwF1nP2ZC2aAGZSg2f3r0tQ89lqtJV0MXKqgsc3Ot7G5f3nAMqPfosPpIL5hERETVHCpkEbUL9XB1Gg/Hz94K/UuLqMDwC28o5bCfnsa2cV19tpZA1XnvbTc5zc3Mtrzt37ozOFXqBc3NzERgYWOOT6fV6zJkzB127dgUAdOnSBZ9//nmNj2NPyZU/UXL1atnQcw1uZGeiOO02BJ3uTiGxGLLglpCp1VBGDIS87BFkMrUaspYqiOU1WwG9fFV2Z1drJyIioqZNIhbBW+H002o9Tgt/JUw6g6vD8AhsK+ewnZzHtnKeJ7aVSBAEwdaOrl27QiQSoeLu8vcikQhnz56t04nNZjNmzpyJ8PBwPPPMM3U6FgDoc3NxdOITpXFKpVCGhkIZFgJlaBi8wkKhLPtPoVJBLG26vzCJiIiak6wsLcxmm3/K1AifiuI8tpXz2FbOYTs5j23lPHdsK7FYhOBgX7v77Wap586dq9OJ9+zZgyVLllht69ChAz7++GPo9XqkpKTAaDTiySefrNFx7f8SlqDdoqUQyWSQBpWugF7xghgBaAFoc4prVyEXc8d/XLXFurgn1sU9sS7upyb1cPRLmIiIiKicwy5kk8mEzZs345dffoFEIsGIESMQHx/v8MDR0dGIjo6usr2wsBAzZ85EYGAg1q1bB5lMVrvIbZCHcig5EREREREReR6HyfnChQtx6dIlxMXFQRAEbNu2DVevXsXcuXNrdcLk5GS0bdsWr732GsR8vjcRERERERGR4+Q8NTUVu3btsvRwx8bGIjY2tlbJ+ZkzZ7B//3506tQJY8aMAQCo1Wps2LChxsciIiIiIiIiaiocJuctWrSAyWSyJOcikQj+/v61Otk999yDP/74o1afJSIiIs9x69YtJCcnIysrC+3bt8fKlSvh4+NjVebmzZsYPXo02rRpAwBo2bIlPvjgA1eES0RE5HIOk/OuXbsiMTER8fHxkEgk2L17N4KCgvDRRx8BACZPntzgQRIREZFnee2115CYmIhRo0bhn//8J9auXYvk5GSrMqdOnUJMTAxef/11F0VJRETkPhxO+tbpdOjSpQtOnz6NEydO4K677kJwcDDOnz+P8+fPN0aMRERE5EEMBgOOHj2KqKgoAEB8fDz27t1bpdzJkydx/vx5xMXFISkpiaPriIioWXPYc175cWhERERE1cnJyYGvry+k0tI/M1QqFdLT06uUUygUiI2NRUJCAn7++Wc8/fTT2L17N+RyeWOHTERE5HIOk/PDhw9j/fr1yMvLs9q+bdu2BguKiIiIPMOePXuq3Mhv27YtRCKR1bbK7wFg1qxZlteRkZF48803cfnyZXTt2tXp89fnc+RVKr96O1ZTx7ZyHtvKOWwn57GtnOdpbeUwOV+wYAEef/xxy2ItREREROWio6MRHR1ttc1gMCAiIgImkwkSiQQZGRlQq9VVPvvZZ59h9OjRCAoKAgAIgmDpbXdWVpYWZrNQ+wqUUan8kJFRUOfjNAdsK+exrZzDdnIe28p57thWYrGo2pvKDn8DBgcHIykpqV6DIiIioqZLJpOhf//+2L17N2JiYvDNN9/gvvvuq1Lu6NGjKCkpwbRp03DkyBGYzWZ06NDBBRETERG5nsPkfMSIEdi4cSPuvfdeq7vZrVq1atDAiIiIyHO9+uqrSElJwbp16xAWFoa33noLALBp0yZoNBrMmTMH8+fPR0pKCnbs2AGFQoE333wTYrHDtWqJiIiaJIfJeU5ODt566y14eXlZtolEIvz6668NGhgRERF5rtatW+Ozzz6rsv2xxx6zvA4JCbE8mpWIiKi5c5ic//jjj/jll1/QsmXLxoiHiIiIiIiIqNlxOHYsODgYLVq0aIxYiIiIiIiIiJolhz3nf/nLX5CYmIjhw4dbPXd08uTJDRoYERERERERUXPhMDkvKSlB+/btceXKlUYIh4iIiIiIiKj5cZicL1mypDHiICIiIiIiImq2HCbnv/32G9avX4+ioiIIggCz2YwbN27gwIEDjRAeERERERERUdPncEG4BQsWoE+fPtBqtYiJiYGvry8eeuihxoiNiIiIiIiIqFlw2HMuEokwffp05OTkoEOHDoiJicHYsWMbIzYiIiIiIiKiZsFhz7mPjw8AoE2bNrhw4QKUSiXEYocfIyIiIiIiIiInOew579mzJ5599lnMmTMHTz75JK5cuQKp1OHHiIiIiIiIiMhJDrvA582bh0mTJqF9+/aYP38+zGYz3nzzzcaIjYiIiIiIiKhZqDY5FwQBJpMJvXv3hlarhU6nQ2JiIjp06FDnE585cwY9evSo83GIiIiIiIiIPJ3d8ekXL17E9OnT8fLLL2PQoEEYP348AECr1WLp0qUYMmRIrU9aXFyMhQsXwmAw1PoYlR06fRvbf7qErHwdgv0ViI/siNhhfvV2fCIiIiIiIqKGYrfnfPny5Xj22WcxfPhw7Nq1CwCwa9cubNmyBatXr67TSZcuXYqJEyfW6RgVHTp9G5/sOYesfB0AICtfh0/2nMOB49fr7RxEREREREREDcVucp6WlobY2FgAwOHDh3H//fdDLBYjLCwMWq221ifcv38/SkpKMHLkyFofo7LtP12C3mi22qY3mvHpnrP1dg4iIiIiIiKihmJ3WHvFx6X99ttvWLBggeW9TqdzeOA9e/ZgyZIlVts6dOgArVaLjz/+uBahlgoO9q2yLTvfdjyZOcVQqZrO0HbWxT2xLu6JdXFPTaUuTaUeRERE5D7sJucBAQE4d+4ctFotMjIyMGDAAADAr7/+ipCQEIcHjo6ORnR0tNW2rVu34r333sOECRMs2+Li4rBx40b4+lZNum3JytLCbBastrXwV1iGtFfUMsgLGRkFTh3X3alUfqyLG2Jd3BPr4p6aSl1qUg+xWGTzpnJz8vbbb0MikWDWrFlV9un1esyfPx+nTp2CUqnEypUr0bFjRxdESURE5Hp2k/PnnnsOkyZNglarxQsvvABvb2988MEH+Ne//oV//vOftTrZ+PHjLQvLAUCXLl2wY8eOWh2rovjIjvhkzzmroe1yqRhJ0d3qfGwiIiKquYKCAixZsgS7du3C1KlTbZb57LPP4OXlhT179uDo0aN46aWXsGXLlkaOlIiIyD3YTc579+6N//znPygpKYG/vz8AoE+fPti6dSvatWvXWPFVIRaLqmwbEh4GL6UU3/33GnK0OgT5KhA1sA2G9bsbWVm1nx/vbmzV3VOxLu6JdXFPrIv7cbYeTaW+tbF//360a9cOkydPtlvmwIEDmDNnDgBgwIAByM7Oxq1bt9CqVSunz1Ofbdycr1dNsa2cx7ZyDtvJeWwr57lbWzmKRyQIglBtCSIiIqJaKn/Ci61h7VFRUVi/fj3atm0LAHjssceQnJyMvn37NmqMRERE7sBuzzkRERGRI/YWgHVm8VdBECASiazeV1yQloiIqDlhck5ERES1ZmsBWGeFhIRAo9GgTZs2AIDMzEyo1er6DI+IiMhj8PY0ERERuURkZKRlYdhjx45BoVDUaL45ERFRU8LknIiIiBrNpk2b8M477wAAHn/8cej1eowaNQpvvPEGli9f7uLoiIiIXIcLwhERERERERG5GHvOiYiIiIiIiFyMyTkRERERERGRizE5JyIiIiIiInIxJudERERERERELtakkvPjx49j3LhxiIuLw8SJE3Hz5s0qZfR6PZKTkxEdHY0xY8bg0qVLLojUeW+//TZWr15tc9/NmzfRp08fxMXFIS4uDk888UQjR1cz1dXFU67LrVu3MGHCBIwcORIzZ85EYWFhlTLufl127tyJhx9+GA899BA2btxYZf/Zs2cRHx+PqKgozJ8/H0aj0QVROsdRXdasWYPhw4dbroWtMu5Cq9Vi9OjRuHHjRpV9nnRNgOrr4knXZM2aNRg1ahRGjRplcxVxT7suZJ+jnyVUytF3gqpatmwZUlJSXB2GW/vhhx8QHx+P6OhoLFq0yNXhuK0dO3ZYvn/Lli1zdThuqfLfH6mpqYiJicFDDz2EVatWuTg6JwlNyPDhw4WzZ88KgiAIW7duFWbMmFGlzPvvvy+8/PLLgiAIwpEjR4Tx48c3aozOys/PF1566SWhZ8+ewrvvvmuzzN69ey11cWfO1MVTrsv06dOFb7/9VhAEQVizZo2wfPnyKmXc+brcvn1bGD58uJCTkyMUFhYKMTExwoULF6zKjBo1Svjtt98EQRCEl156Sdi4caMLInXMmbo8+eSTwq+//uqiCJ33+++/C6NHjxa6d+8uXL9+vcp+T7kmguC4Lp5yTQ4ePCg8+uijgk6nE/R6vZCUlCTs27fPqownXReyz5mfJeTcd4KspaamChEREcKLL77o6lDc1rVr14ShQ4cKaWlpgl6vFx577DHhwIEDrg7L7RQVFQkDBgwQsrKyBIPBIIwbN044ePCgq8NyK5X//iguLhYiIyOFa9euCQaDQZgyZYpH/NtqMj3ner0ec+bMQdeuXQEAXbp0QVpaWpVyBw4cQGxsLABgwIAByM7Oxq1btxo1Vmfs378f7dq1w+TJk+2WOXnyJM6fP4+4uDgkJSXhjz/+aMQInedMXTzhuhgMBhw9ehRRUVEAgPj4eOzdu7dKOXe+LqmpqRg4cCACAwPh7e2NqKgoqzrcvHkTJSUl6N27NwD7dXQHjuoCAKdOncJ7772HmJgYvP7669DpdC6KtnpbtmzBq6++CrVaXWWfJ10ToPq6AJ5zTVQqFVJSUiCXyyGTydCxY0ern0medl3IPmd+lpDj7wRZy83NxapVqzBjxgxXh+LW/u///g8PP/wwQkNDIZPJsGrVKvTq1cvVYbkdk8kEs9mM4uJiGI1GGI1GKBQKV4flVir//XHixAm0bdsWd999N6RSKWJiYjziZ3uTSc7lcjni4uIAAGazGWvWrMEDDzxQpZxGo4FKpbK8V6lUuH37dqPF6axHHnkE06dPh0QisVtGoVAgNjYWX3/9NZ544gk8/fTT0Ov1jRilc5ypiydcl5ycHPj6+kIqlQIojTE9Pb1KOXe+LpXbWa1WW9XB1nWwVUd34KguhYWF6NatG5KTk/H1118jPz8fa9eudUWoDr3xxhvo37+/zX2edE2A6uviSdekc+fOlsT7ypUr2LNnDyIjIy37Pe26kH2OfpZQKUffCbL2yiuvYO7cufD393d1KG7t6tWrMJlMmDFjBuLi4vDFF18gICDA1WG5HV9fX8yZMwfR0dGIjIxE69at0bdvX1eH5VYq//3hqT/bPTI537NnD+677z6r/yZNmgSgtAf9hRdegNFoxJNPPlnls4IgQCQSWb0Xi13XDNXVxZFZs2YhMTERYrEYkZGR8Pb2xuXLlxs24GrUpS6ecF2ef/55qxgBVHkPuN91qchsNldp54rvHe13J45i9fHxwYYNG9CxY0dIpVJMmTIFP/30kytCrRNPuiaOeOI1uXDhAqZMmYL/9//+H9q1a2fZ3pSuS3PHa1kz9r4TdMfWrVsRFhaGQYMGuToUt2cymXDo0CEsXrwYX375JU6cOIGvv/7a1WG5nXPnzuGrr77Cjz/+iJ9//hlisRgffPCBq8Nya576s13q6gBqIzo6GtHR0VW2FxYWYubMmQgMDMS6desgk8mqlAkJCYFGo0GbNm0AAJmZmXaHXzYGe3VxxmeffYbRo0cjKCgIQOk/uvJeXVeoS1084boYDAZERETAZDJBIpEgIyPDZozudl0qCg0NxbFjxyzvK9chNDQUGRkZlveuvg7VcVSXW7duITU1FePGjQPgXtehJjzpmjjiadfk+PHjmD17NubNm4dRo0ZZ7WtK16W5c/SzhO6o7jtBd+zevRsZGRmIi4tDXl4eioqKsHjxYsybN8/Vobmdli1bYtCgQWjRogUA4IEHHsCJEycQHx/v4sjcyy+//IJBgwYhODgYQOlUqi+++AJTp051cWTuq/LvaU/52e6RPef2JCcno23btnj77bchl8ttlomMjMSOHTsAAMeOHYNCoUCrVq0aM8x6c/ToUWzbtg0AcOTIEZjNZnTo0MHFUdWOJ1wXmUyG/v37Y/fu3QCAb775Bvfdd1+Vcu58XQYPHoxDhw4hOzsbxcXF2Ldvn1UdWrduDYVCgePHjwMoXRnUVh3dgaO6KJVKrFixAtevX4cgCNi4cSMefPBBF0ZcO550TRzxpGuSlpaGp59+GitXrrSZhDSl69LcOfpZQqUcfSfojo8++gjffvstduzYgdmzZ2PEiBFMzO0YPnw4fvnlF+Tn58NkMuHnn39G9+7dXR2W2+natStSU1NRVFQEQRDwww8/IDw83NVhubVevXrhzz//tEyd+Pbbbz3iZ7v7dlnU0JkzZ7B//3506tQJY8aMAVA6t2DDhg3YtGkTNBoN5syZg8cffxyvvPIKRo0aBblc7nGPAqlYl/nz5yMlJQU7duyAQqHAm2++6dKh4DXlidfl1VdfRUpKCtatW4ewsDC89dZbADznuoSEhGDu3LlISkqCwWDAuHHj0LNnT0ybNg2zZ89GeHg4Vq5ciQULFkCr1aJ79+5ISkpyddg2OVOX119/HTNnzoTBYEDfvn2rXZTQ3XjiNbHHE6/JBx98AJ1Oh6VLl1q2JSQk4Icffmgy14VK2ftZQtbsfScee+wxF0ZFnq5Xr16YOnUqEhMTYTAYMGTIEIwdO9bVYbmdoUOH4syZM4iPj4dMJkN4eDimT5/u6rDcmkKhwNKlSzFr1izodDpERkZi5MiRrg7LIZEgCIKrgyAiIiIiIiJqztyjO4+IiIiIiIioGWNyTkRERERERORiTM6JiIiIiIiIXIzJOREREREREZGLMTknIiIiIiIicjEm50REREREREQuxuScyAmLFi1CXFwc4uLi0KNHD0RFRVnel5SUoEuXLsjOznZJbFOmTLGce9q0abh48WKtjpOSkoIPPvjA5r4bN24gOTkZUVFRiI2Nxbhx47B169Zax+wMW/U6fPgwRo8e3aDnJSIiIiJyBamrAyDyBAsWLLC8HjFiBFauXInw8HAXRnTHwYMHLa83bNhQ78dPS0tDQkICnnvuOaxYsQIAkJ6ejhdeeAFXrlxBcnJyvZ8TsF2vrKysBjkXEREREZGrseecqJ6sXr0a8fHxGDFiBDZu3GjZvnXrVsTHx+ORRx7BpEmTcOnSJQBAQUEBXnjhBYwePRoxMTFYvnw5jEYjAKBHjx6YM2cOoqKicPLkSVy6dAlTpkxBfHw84uLisG3bNgDASy+9BACYOHEi0tLSMGLECJw8eRIAsG3bNowaNQoxMTFISkpCWloazGYzFi1ahPHjx+Phhx9GdHQ0jh8/Xm291q9fj5EjRyI+Pt6yLSQkBKtWrcLnn3+O9PT0Kj3aFd9nZmbiqaeewqOPPooRI0bg8ccftyTZI0aMwOrVq5GYmIjhw4fj7bffdlivcnq9HosXL8aYMWMQGxuLlJQUaLVaAMAXX3yB2NhYjB07FomJibUeTUBERERE1FiYnBPVk7vvvhvbt2/HmjVrsHTpUhgMBhw5cgTffPMNNm7ciG+++QZTp07FM888A6B0qHxgYCB27tyJr776Cn/88Qc+/PBDAIDBYMDw4cPx3XffoVu3bpg9ezaef/55bN++HZ9//jk+/PBD/P7771iyZAkA4JNPPkFYWJgllnPnzmHlypV4//33sXPnTowYMQLr1q3D//73P2g0Gnz55ZfYvXs3xowZ47C3/fjx4xgwYECV7S1btkTHjh1x4sSJaj+/a9cu9O7dG19++SX2798PpVKJHTt2WPYXFRXhiy++wObNm/Hhhx/i+vXrdutV0fr16yGRSLB9+3b8+9//hlqtxsqVK2EymbB48WK8//77+Oqrr/C3v/3N4Q0IIiIiIiJX47B2onpS3lPcrVs36PV6aLVaHDhwAFevXkVCQoKlXH5+PnJzc/Gf//wHmzZtgkgkglwuR0JCAj755BNMnz4dANC/f38AwJUrV3Dt2jXMmzfPcoySkhKcOXMGvXv3thnLoUOHMHToUEtiO2nSJMu+gIAAbN68GdevX8fhw4fh4+NTp3qbzeZq90+cOBHHjh3DRx99hCtXruDChQvo1auXZf/9998PoLQ3Pjg4GHl5ebj77rsdnvfAgQMoKChAamoqgNIbGsHBwZBIJBg5ciQSEhIwbNgwDB06FJGRkXWoIRERERFRw2NyTlRPpNLSr5NIJAIACIIAs9mMuLg4y7xss9kMjUaDgIAAmM1mS9nyfeXD2gHA29sbAGAymeDn52fV25yZmQk/Pz+7sUgkEqtjl5SU4ObNm7h+/TreeOMNTJ48Gffffz86dOiAf//739XWq2/fvjhy5AiioqIAlM77DgwMRF5eHi5duoSePXvi+vXrEATB8hmDwWB5vWLFCpw4cQJjx45FREQEjEajVVmFQmF5LRKJrPZVx2w2Y968eZbEu7CwEDqdDgCwcuVKnD9/HqmpqVi/fj127NiBd955x6njEhERERG5Aoe1EzWgoUOHYteuXdBoNACATZs2YeLEiZZ9n3/+OQRBgF6vx5YtWzB48OAqx2jfvr3VUPC0tDSMHj0ap06dAlCaiFdM6gEgIiIChw4dspx38+bNWLFiBQ4ePIjhw4cjMTERPXr0wPfffw+TyVRtHZ588kl89913+PrrrwEA3377LWJiYvDUU08hISEBYWFhaNGiBW7duoWsrCwIgoBdu3ZZPv/LL79g4sSJeOSRRxAcHIzU1FSH57RXr4qGDh2KjRs3Qq/Xw2w24+WXX8Zbb72F7OxsREZGIjAwEJMmTcKzzz5bZb46EREREZG7Yc85UQMaOnQopk2bhilTpkAkEsHX1xdr1qyBSCTCggULsGjRIsTExMBgMODee+/FjBkzqhxDLpdj7dq1eOONN/D+++/DaDRizpw56NevHwBg5MiRePzxx7F69WrLZ7p06YLk5GRMnToVAKBSqbB48WJotVo8//zziImJgdFoxJAhQ7Bv375qh6aHhYXhyy+/xKpVq/Cvf/0LUqkUUqkUwcHBuHz5Mi5cuIDOnTsjISEBY8eOhUqlwrBhwywJ8dNPP43ly5fjnXfegUwmQ9++fXHt2jWHbWerXhU99dRTWLZsGcaMGQOTyYRu3bohJSUFvr6+mDlzJiZNmgSlUgmJRIJFixY5PB8RERERkSuJBGfHkBIRVXLu3DkoFAq0b9/e1aEQEREREXk0JudERERERERELsY550REREREREQuxuSciIiIiIiIyMWYnBMRERERERG5GJNzIiIiIiIiIhdjck5ERERERETkYkzOiYiIiIiIiFzs/wM5qXmfoBOvLAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create ARIMA model\n", "model = SARIMAX(qrt, order=(0,1,2))\n", "\n", "# Fit ARIMA model\n", "results = model.fit()\n", "\n", "# Assign residuals to variable\n", "residuals = results.resid\n", "\n", "# Create the 4 diagostics plots\n", "results.plot_diagnostics()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "id": "4d0119ee", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate in-sample predictions\n", "forecast = results.get_prediction(start= pd.to_datetime('2016-12-31'))\n", "\n", "# Extract prediction mean\n", "mean_forecast = forecast.predicted_mean\n", "\n", "# Get confidence intervals of predictions\n", "confidence_intervals = forecast.conf_int(alpha=0.30)\n", "\n", "# Select lower and upper confidence limits\n", "lower_limits = confidence_intervals.loc[:,'lower return_rate']\n", "upper_limits = confidence_intervals.loc[:,'upper return_rate']\n", "\n", "# plot the amazon data\n", "style.use('fivethirtyeight')\n", "plt.plot(qrt, label='observed')\n", "\n", "# plot your mean predictions\n", "plt.plot(mean_forecast.index, mean_forecast, color='r', label='predicted')\n", "\n", "# shade the area between your confidence limits\n", "plt.fill_between(lower_limits.index, lower_limits, upper_limits, color='pink')\n", "\n", "# set labels, title, legends and show plot\n", "plt.xlabel('')\n", "plt.ylabel('')\n", "plt.title('In-Sample Predictions for Rate of Return',fontsize=20)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "c8335bee", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Root Mean Squared Error: 5\n" ] } ], "source": [ "#Calculating RMSE\n", "train_forecasted = forecast.predicted_mean\n", "train_truth = qrt['2016-12-31':]\n", "rms_arima = sqrt(mean_squared_error(train_truth, train_forecasted))\n", "print(\"Root Mean Squared Error: \", round(rms_arima))" ] }, { "attachments": {}, "cell_type": "markdown", "id": "fbae620a", "metadata": {}, "source": [ "# Production and Conclusion\n", "Information gathered from statistical tests and plots during the diagnostic step indicates that the current model is good enough. As such, we can go ahead and make forecasts. The get_forecast function accepts a single argument indicating how many forecasting steps are desired. I included four as the number of quarters ahead to forecast. Alternatively, we can specify the date through which forecasts should be produced.\n", "\n", "The line plot shows the best estimate prediction marked with the red line, while the uncertainty range is shaded. The plot and the table below indicate that the rate of return in the second quarter of 2022 is likely to be about 31%. The rate of return for the three following quarters is likely to be about 32%. The further into the future the forecast is, the higher the uncertainty range.\n", "\n", "The historical rate of return averaged 30%. Thus, I confidently expect the dealership to have higher than its typical performance during at least the next four quarters: 2022Q2-2023Q1." ] }, { "cell_type": "code", "execution_count": 18, "id": "95c8c82d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "return_rate mean mean_se mean_ci_lower mean_ci_upper\n", "2022Q2 30.723275 10.259674 20.089807 41.356744\n", "2022Q3 32.333503 10.650906 21.294548 43.372457\n", "2022Q4 32.333503 12.402883 19.478741 45.188264\n", "2023Q1 32.333503 13.936327 17.889428 46.777577\n" ] } ], "source": [ "# Generate forecast\n", "forecast = results.get_forecast(steps=4)\n", "\n", "# Extract prediction mean\n", "mean_forecast = forecast.predicted_mean\n", "\n", "# Get confidence intervals of predictions\n", "confidence_intervals = forecast.conf_int(alpha=0.30)\n", "\n", "# Select lower and upper confidence limits\n", "lower_limits = confidence_intervals.loc[:,'lower return_rate']\n", "upper_limits = confidence_intervals.loc[:,'upper return_rate']\n", "\n", "# plot the amazon data\n", "style.use('fivethirtyeight')\n", "plt.plot(qrt, label='observed')\n", "\n", "# plot your mean predictions\n", "plt.plot(mean_forecast.index, mean_forecast, color='r', label='forecasted')\n", "\n", "# shade the area between your confidence limits\n", "plt.fill_between(lower_limits.index, lower_limits, upper_limits, color='pink')\n", "\n", "# set labels, title legends and show plot\n", "plt.xlabel('')\n", "plt.ylabel('')\n", "plt.title('Forecast for Rate of Return',fontsize=20)\n", "plt.legend()\n", "plt.show()\n", "\n", "# print forecasted values\n", "forecast = results.get_forecast(steps=4)\n", "frc = forecast.summary_frame(alpha=0.3)\n", "frc.index = pd.PeriodIndex(frc.index, freq='Q')\n", "print(frc)" ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.2" }, "vscode": { "interpreter": { "hash": "2f2c054dce7f3ebd1e76d58cbab2bcb69b44b6a1fb131f28c8fa296b61f3b710" } } }, "nbformat": 4, "nbformat_minor": 5 }