{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "nOYUO8fCkI_2" }, "source": [ "# **Importing Libraries**" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 52 }, "id": "232K0Nd2F-ma", "outputId": "2c43bf94-68a2-4502-c42e-1fc1f38216a8" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "
" ] }, "metadata": {}, "execution_count": 1 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ] }, "metadata": {} } ], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from sklearn.impute import SimpleImputer\n", "from sklearn.preprocessing import LabelEncoder,OneHotEncoder\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.model_selection import StratifiedKFold\n", "from sklearn.model_selection import RandomizedSearchCV\n", "from sklearn.model_selection import cross_val_score\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.ensemble import GradientBoostingClassifier\n", "from sklearn.metrics import accuracy_score, precision_score, recall_score, f1_score, roc_auc_score\n", "from sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay, RocCurveDisplay\n", "from sklearn.metrics import classification_report, roc_curve, auc\n", "from sklearn.inspection import permutation_importance\n", "from sklearn.inspection import PartialDependenceDisplay\n", "import shap\n", "import joblib\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "sns.set_style(\"whitegrid\")\n", "RANDOM_STATE = 42\n", "np.random.seed(RANDOM_STATE)\n", "plt.figure(figsize=(10, 6))" ] }, { "cell_type": "markdown", "metadata": { "id": "8J91zLRypPM0" }, "source": [ "# **Loading Dataset**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "id": "-Q4qxKlJJZPO" }, "outputs": [], "source": [ "# Loading the Lending Club dataset\n", "df = pd.read_csv(\"/content/loans_full_schema (1).csv\")" ] }, { "cell_type": "markdown", "metadata": { "id": "cCEwIi8blW8h" }, "source": [ "# **Data Preprocessing**" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 359 }, "id": "tVopD3mvJkJs", "outputId": "85ce6536-bf37-447d-d909-945750a59b98" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " Unnamed: 0 emp_title emp_length state homeownership \\\n", "0 1 global config engineer 3.0 NJ MORTGAGE \n", "1 2 warehouse office clerk 10.0 HI RENT \n", "2 3 assembly 3.0 WI RENT \n", "3 4 customer service 1.0 PA RENT \n", "4 5 security supervisor 10.0 CA RENT \n", "\n", " annual_income verified_income debt_to_income annual_income_joint \\\n", "0 90000.0 Verified 18.01 NaN \n", "1 40000.0 Not Verified 5.04 NaN \n", "2 40000.0 Source Verified 21.15 NaN \n", "3 30000.0 Not Verified 10.16 NaN \n", "4 35000.0 Verified 57.96 57000.0 \n", "\n", " verification_income_joint ... sub_grade issue_month loan_status \\\n", "0 NaN ... C3 Mar-2018 Current \n", "1 NaN ... C1 Feb-2018 Current \n", "2 NaN ... D1 Feb-2018 Current \n", "3 NaN ... A3 Jan-2018 Current \n", "4 Verified ... C3 Mar-2018 Current \n", "\n", " initial_listing_status disbursement_method balance paid_total \\\n", "0 whole Cash 27015.86 1999.33 \n", "1 whole Cash 4651.37 499.12 \n", "2 fractional Cash 1824.63 281.80 \n", "3 whole Cash 18853.26 3312.89 \n", "4 whole Cash 21430.15 2324.65 \n", "\n", " paid_principal paid_interest paid_late_fees \n", "0 984.14 1015.19 0.0 \n", "1 348.63 150.49 0.0 \n", "2 175.37 106.43 0.0 \n", "3 2746.74 566.15 0.0 \n", "4 1569.85 754.80 0.0 \n", "\n", "[5 rows x 56 columns]" ], "text/html": [ "\n", "
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Unnamed: 0emp_titleemp_lengthstatehomeownershipannual_incomeverified_incomedebt_to_incomeannual_income_jointverification_income_joint...sub_gradeissue_monthloan_statusinitial_listing_statusdisbursement_methodbalancepaid_totalpaid_principalpaid_interestpaid_late_fees
01global config engineer3.0NJMORTGAGE90000.0Verified18.01NaNNaN...C3Mar-2018CurrentwholeCash27015.861999.33984.141015.190.0
12warehouse office clerk10.0HIRENT40000.0Not Verified5.04NaNNaN...C1Feb-2018CurrentwholeCash4651.37499.12348.63150.490.0
23assembly3.0WIRENT40000.0Source Verified21.15NaNNaN...D1Feb-2018CurrentfractionalCash1824.63281.80175.37106.430.0
34customer service1.0PARENT30000.0Not Verified10.16NaNNaN...A3Jan-2018CurrentwholeCash18853.263312.892746.74566.150.0
45security supervisor10.0CARENT35000.0Verified57.9657000.0Verified...C3Mar-2018CurrentwholeCash21430.152324.651569.85754.800.0
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5 rows × 56 columns

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\n" ], "application/vnd.google.colaboratory.intrinsic+json": { "type": "dataframe", "variable_name": "df" } }, "metadata": {}, "execution_count": 3 } ], "source": [ "# Displaying the first five records for understanding the dataset\n", "\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "egE_2FgzJmu5", "outputId": "5752634b-2055-4dba-c0ab-7d3bde2faa20" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Number of Rows : 10000\n", "Number of Columns : 56\n" ] } ], "source": [ "# Evaluating the size of the dataset\n", "print(\"Number of Rows :\", df.shape[0])\n", "print(\"Number of Columns :\", df.shape[1])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "hsb97rtNJpVd", "outputId": "c3fc5d7e-18e2-4cc3-9447-752acfd678ce" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "\n", "RangeIndex: 10000 entries, 0 to 9999\n", "Data columns (total 56 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Unnamed: 0 10000 non-null int64 \n", " 1 emp_title 9167 non-null object \n", " 2 emp_length 9183 non-null float64\n", " 3 state 10000 non-null object \n", " 4 homeownership 10000 non-null object \n", " 5 annual_income 10000 non-null float64\n", " 6 verified_income 10000 non-null object \n", " 7 debt_to_income 9976 non-null float64\n", " 8 annual_income_joint 1495 non-null float64\n", " 9 verification_income_joint 1455 non-null object \n", " 10 debt_to_income_joint 1495 non-null float64\n", " 11 delinq_2y 10000 non-null int64 \n", " 12 months_since_last_delinq 4342 non-null float64\n", " 13 earliest_credit_line 10000 non-null int64 \n", " 14 inquiries_last_12m 10000 non-null int64 \n", " 15 total_credit_lines 10000 non-null int64 \n", " 16 open_credit_lines 10000 non-null int64 \n", " 17 total_credit_limit 10000 non-null int64 \n", " 18 total_credit_utilized 10000 non-null int64 \n", " 19 num_collections_last_12m 10000 non-null int64 \n", " 20 num_historical_failed_to_pay 10000 non-null int64 \n", " 21 months_since_90d_late 2285 non-null float64\n", " 22 current_accounts_delinq 10000 non-null int64 \n", " 23 total_collection_amount_ever 10000 non-null int64 \n", " 24 current_installment_accounts 10000 non-null int64 \n", " 25 accounts_opened_24m 10000 non-null int64 \n", " 26 months_since_last_credit_inquiry 8729 non-null float64\n", " 27 num_satisfactory_accounts 10000 non-null int64 \n", " 28 num_accounts_120d_past_due 9682 non-null float64\n", " 29 num_accounts_30d_past_due 10000 non-null int64 \n", " 30 num_active_debit_accounts 10000 non-null int64 \n", " 31 total_debit_limit 10000 non-null int64 \n", " 32 num_total_cc_accounts 10000 non-null int64 \n", " 33 num_open_cc_accounts 10000 non-null int64 \n", " 34 num_cc_carrying_balance 10000 non-null int64 \n", " 35 num_mort_accounts 10000 non-null int64 \n", " 36 account_never_delinq_percent 10000 non-null float64\n", " 37 tax_liens 10000 non-null int64 \n", " 38 public_record_bankrupt 10000 non-null int64 \n", " 39 loan_purpose 10000 non-null object \n", " 40 application_type 10000 non-null object \n", " 41 loan_amount 10000 non-null int64 \n", " 42 term 10000 non-null int64 \n", " 43 interest_rate 10000 non-null float64\n", " 44 installment 10000 non-null float64\n", " 45 grade 10000 non-null object \n", " 46 sub_grade 10000 non-null object \n", " 47 issue_month 10000 non-null object \n", " 48 loan_status 10000 non-null object \n", " 49 initial_listing_status 10000 non-null object \n", " 50 disbursement_method 10000 non-null object \n", " 51 balance 10000 non-null float64\n", " 52 paid_total 10000 non-null float64\n", " 53 paid_principal 10000 non-null float64\n", " 54 paid_interest 10000 non-null float64\n", " 55 paid_late_fees 10000 non-null float64\n", "dtypes: float64(17), int64(26), object(13)\n", "memory usage: 4.3+ MB\n" ] } ], "source": [ "# Checking the dataset information\n", "df.info()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "LV9Za0z6Jst2", "outputId": "9e2f91de-bff1-471a-97fb-f7fff4443705" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " count mean std \\\n", "Unnamed: 0 10000.0 5000.500000 2886.895680 \n", "emp_length 9183.0 5.930306 3.703734 \n", "annual_income 10000.0 79222.148412 64734.290492 \n", "debt_to_income 9976.0 19.308192 15.004851 \n", "annual_income_joint 1495.0 127914.571244 70168.375404 \n", "debt_to_income_joint 1495.0 19.979304 8.054781 \n", "delinq_2y 10000.0 0.216000 0.683660 \n", "months_since_last_delinq 4342.0 36.760709 21.634939 \n", "earliest_credit_line 10000.0 2001.290000 7.795510 \n", "inquiries_last_12m 10000.0 1.958200 2.380130 \n", "total_credit_lines 10000.0 22.679600 11.885439 \n", "open_credit_lines 10000.0 11.404400 5.868280 \n", "total_credit_limit 10000.0 183606.230400 187632.707777 \n", "total_credit_utilized 10000.0 51049.063100 53636.731172 \n", "num_collections_last_12m 10000.0 0.013800 0.126535 \n", "num_historical_failed_to_pay 10000.0 0.167100 0.687768 \n", "months_since_90d_late 2285.0 46.112473 21.748021 \n", "current_accounts_delinq 10000.0 0.000100 0.010000 \n", "total_collection_amount_ever 10000.0 184.334000 2206.389859 \n", "current_installment_accounts 10000.0 2.663600 2.935387 \n", "accounts_opened_24m 10000.0 4.376100 3.158583 \n", "months_since_last_credit_inquiry 8729.0 7.340703 5.981590 \n", "num_satisfactory_accounts 10000.0 11.379600 5.859705 \n", "num_accounts_120d_past_due 9682.0 0.000000 0.000000 \n", "num_accounts_30d_past_due 10000.0 0.000100 0.010000 \n", "num_active_debit_accounts 10000.0 3.595300 2.434689 \n", "total_debit_limit 10000.0 27357.410300 26570.164081 \n", "num_total_cc_accounts 10000.0 13.030000 7.874713 \n", "num_open_cc_accounts 10000.0 8.095000 4.906606 \n", "num_cc_carrying_balance 10000.0 5.230500 3.327623 \n", "num_mort_accounts 10000.0 1.383100 1.717274 \n", "account_never_delinq_percent 10000.0 94.648990 9.155059 \n", "tax_liens 10000.0 0.043300 0.593852 \n", "public_record_bankrupt 10000.0 0.123800 0.337172 \n", "loan_amount 10000.0 16361.922500 10301.956759 \n", "term 10000.0 43.272000 11.029877 \n", "interest_rate 10000.0 12.427524 5.001105 \n", "installment 10000.0 476.205323 294.851627 \n", "balance 10000.0 14458.916610 9964.561865 \n", "paid_total 10000.0 2494.234773 3958.230365 \n", "paid_principal 10000.0 1894.448466 3884.407175 \n", "paid_interest 10000.0 599.666781 517.328062 \n", "paid_late_fees 10000.0 0.119516 1.813468 \n", "\n", " min 25% 50% \\\n", "Unnamed: 0 1.00 2500.7500 5000.500 \n", "emp_length 0.00 2.0000 6.000 \n", "annual_income 0.00 45000.0000 65000.000 \n", "debt_to_income 0.00 11.0575 17.570 \n", "annual_income_joint 19200.00 86833.5000 113000.000 \n", "debt_to_income_joint 0.32 14.1600 19.720 \n", "delinq_2y 0.00 0.0000 0.000 \n", "months_since_last_delinq 1.00 19.0000 34.000 \n", "earliest_credit_line 1963.00 1997.0000 2003.000 \n", "inquiries_last_12m 0.00 0.0000 1.000 \n", "total_credit_lines 2.00 14.0000 21.000 \n", "open_credit_lines 0.00 7.0000 10.000 \n", "total_credit_limit 0.00 51593.7500 114667.000 \n", "total_credit_utilized 0.00 19185.5000 36927.000 \n", "num_collections_last_12m 0.00 0.0000 0.000 \n", "num_historical_failed_to_pay 0.00 0.0000 0.000 \n", "months_since_90d_late 2.00 29.0000 47.000 \n", "current_accounts_delinq 0.00 0.0000 0.000 \n", "total_collection_amount_ever 0.00 0.0000 0.000 \n", "current_installment_accounts 0.00 1.0000 2.000 \n", "accounts_opened_24m 0.00 2.0000 4.000 \n", "months_since_last_credit_inquiry 0.00 2.0000 6.000 \n", "num_satisfactory_accounts 0.00 7.0000 10.000 \n", "num_accounts_120d_past_due 0.00 0.0000 0.000 \n", "num_accounts_30d_past_due 0.00 0.0000 0.000 \n", "num_active_debit_accounts 0.00 2.0000 3.000 \n", "total_debit_limit 0.00 10000.0000 19500.000 \n", "num_total_cc_accounts 2.00 7.0000 11.000 \n", "num_open_cc_accounts 0.00 5.0000 7.000 \n", "num_cc_carrying_balance 0.00 3.0000 5.000 \n", "num_mort_accounts 0.00 0.0000 1.000 \n", "account_never_delinq_percent 14.30 92.6000 100.000 \n", "tax_liens 0.00 0.0000 0.000 \n", "public_record_bankrupt 0.00 0.0000 0.000 \n", "loan_amount 1000.00 8000.0000 14500.000 \n", "term 36.00 36.0000 36.000 \n", "interest_rate 5.31 9.4300 11.980 \n", "installment 30.75 256.0400 398.420 \n", "balance 0.00 6679.0650 12379.495 \n", "paid_total 0.00 928.7000 1563.300 \n", "paid_principal 0.00 587.1000 984.990 \n", "paid_interest 0.00 221.7575 446.140 \n", "paid_late_fees 0.00 0.0000 0.000 \n", "\n", " 75% max \n", "Unnamed: 0 7500.2500 1.000000e+04 \n", "emp_length 10.0000 1.000000e+01 \n", "annual_income 95000.0000 2.300000e+06 \n", "debt_to_income 25.0025 4.690900e+02 \n", "annual_income_joint 151545.5000 1.100000e+06 \n", "debt_to_income_joint 25.5000 3.998000e+01 \n", "delinq_2y 0.0000 1.300000e+01 \n", "months_since_last_delinq 53.0000 1.180000e+02 \n", "earliest_credit_line 2006.0000 2.015000e+03 \n", "inquiries_last_12m 3.0000 2.900000e+01 \n", "total_credit_lines 29.0000 8.700000e+01 \n", "open_credit_lines 14.0000 5.100000e+01 \n", "total_credit_limit 267550.0000 3.386034e+06 \n", "total_credit_utilized 65421.0000 9.424560e+05 \n", "num_collections_last_12m 0.0000 3.000000e+00 \n", "num_historical_failed_to_pay 0.0000 5.200000e+01 \n", "months_since_90d_late 63.0000 1.280000e+02 \n", "current_accounts_delinq 0.0000 1.000000e+00 \n", "total_collection_amount_ever 0.0000 1.993080e+05 \n", "current_installment_accounts 3.0000 3.500000e+01 \n", "accounts_opened_24m 6.0000 2.900000e+01 \n", "months_since_last_credit_inquiry 11.0000 2.400000e+01 \n", "num_satisfactory_accounts 14.0000 5.100000e+01 \n", "num_accounts_120d_past_due 0.0000 0.000000e+00 \n", "num_accounts_30d_past_due 0.0000 1.000000e+00 \n", "num_active_debit_accounts 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" ] }, "metadata": {}, "execution_count": 11 } ], "source": [ "# Checking the missing values\n", "df.isnull().sum()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "id": "4qiQm506LGvn" }, "outputs": [], "source": [ "# Removing columns with more than 50% missing values\n", "missing_percentage = df.isnull().mean() * 100\n", "\n", "columns_to_drop = missing_percentage[missing_percentage > 50].index\n", "\n", "df.drop(columns=columns_to_drop, inplace=True)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "id": "4gqvxyg8LN7x" }, "outputs": [], "source": [ "# Filling the missing values\n", "\n", "numerical_columns = df.select_dtypes(include=[\"int64\", \"float64\"]).columns\n", "\n", "categorical_columns = df.select_dtypes(include=[\"object\"]).columns\n", "\n", "df[numerical_columns] = SimpleImputer(strategy=\"median\").fit_transform(df[numerical_columns])\n", "\n", "df[categorical_columns] = SimpleImputer(strategy=\"most_frequent\").fit_transform(df[categorical_columns])" ] }, { "cell_type": "markdown", "metadata": { "id": "wI6yQdVOpeHY" }, "source": [ "# **Exploratory Data Analysis**" ] }, { "cell_type": "markdown", "metadata": { "id": "0VQe8a2_plVT" }, "source": [ "## **1. Interest Rate Distribution by Loan Grade**" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "id": "Wyp1EJIpOwQT", "outputId": "881e0434-72f5-4c23-8e77-31629810038e" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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odppJW49DU926dVMZIFypUiXlG2zmU+n5kflxAMj1dOvt27dz3DZy5Ei1wfSaHtvHx0f5Dblz586oXbs2XF1d4e7ujgYNGsDV1TXH4xQFExMTfPPNN9n+DQMDA/HDDz/g7du3uR7j/fv3yl7M/NDl8yurnF5v2qixVatWKqcrK1eurPx35udy5tepnZ2dMtQB6V9inJ2dC91rl/l9yszMDC1btlS+t2W8vgCgQ4cO+PXXXxEeHo7o6GicOnUKvr6+CAgIUO7TpUsX5bg8bbp3757KqcwePXqobO/Ro4cy2Mnlcty7dw8tWrSAQqHAokWLsHXr1hzPQgDpz9OcaPN9B4BWpjD5+uuv1UIdkN4J8f3336vN8JBVxuN98eKFyhW6nTp1Ur6fiUQidOnSJdtgd/fuXZXPhxkzZmDGjBnZ/qzg4GAkJyfD2Ng47wdWQvDyqWIu87eVOnXqKD+EMgYoZ/D391d5Imf+dnLmzBkkJyernIZt3rw5HBwclLcL8gYQFRWVbXvmN//MFi9ejAMHDuQa6oD0UyYZMr5hA+kfGJnp6+urjanKoI3HoSknJyeV25k/QDKPf8kPbT0ONzc3rR171qxZ8Pb2BpD+jfj8+fPYunUrfvzxR7Rr1w4TJkzI829cGFOnTsU333yDihUrAkgf0/T999+rXTEeFhaGb7/9Ns9QB6g+5/JDl8+vrHJ6vWmjxqw9lTk9l+Pi4pT/zm4sV9bXriayDpDPfMyUlBTl39DAwABffPGFctvevXvVTsN+/vnnha4nO1l/51lrzno74/e2detWbNy4MddQByDX7dp438kc4kNCQlTuZ2tri6lTp2Lq1Kn5Dj/Zve+kpKRg5MiReYY64L/XZebnV0Ytud3OUJDXgCAIamMcSzr22BVjd+/eVZ42AtK/iec0E3tkZCTOnz+vvJLPx8dHefVsUlISTp8+rRxPBKiPM7G0tERkZCSA9CuqMl8RmFVOUy7kdCVg5oHLHh4eWLJkCSpXrgx9fX2MHz9e5Rt1BnNzc+W/s374yGQy5amYrLTxODSV9Wq3wnzztbS0VLk9btw4jQaiZ/c30fTY5cuXx+7duxESEoJ79+4hJCQET548wenTpyGTyXDs2DE0a9ZM5UuFNmWcyh08eDC6d++u7OFdsGAB2rRpo3zOnD17FsnJycr7TZs2DZ9//jnMzc3x7Nkz5XAGTejy+ZVVTq83bdSY3+dyxhhEIPuQGBERkePPzq/IyEiVXtXMxzQ0NFQJMn379sWaNWuQlpaGy5cvY/fu3coviZ988kmR9aBmfU1l/P5zup3xe8v83ujg4IBVq1ahWrVqkEgkWLhwITZu3Jjnz9bG+07Dhg2VMy3ExMTg9OnTaNOmDYD009cZr71169apvLZykl0AvH79OsLDw5W3v/76awwfPhw2NjZITk5WfmnMLPPzC8j795oh699jyJAhKh0ZWWX+vCkNGOyKsYzTDfnl5+en8ibes2dP5SXsS5cuVU5lYG1trTb3XZ06dZRjaCIiItC3b1+1eYdSUlIQEBCQ49VSOcn8bahBgwbK06pRUVHK1ReyqlGjBh48eAAg/XRPSEiI8lTf4cOHsz0NW9SPQ5syvxln90aZtTZra+tsr0R7+vRpgU+3aHrsR48ewcPDA66uriqnXb/55hvlqhIPHz5UBru8HqOmbGxsMGHCBOXQg5iYGGzZsgVjxoxR3s6sZ8+eyjfuzB+kWWX9gExJSVHbpyQ8vz5mjTVq1MDx48eVP+vy5cvK07G3bt3SysUThw4dUo6xS0hIwNmzZ5Xbsp6Ktre3R/v27XHkyBEIgqAyL1tRfeEAgFq1akEsFitPx/r5+alMpZG5V1ksFqNWrVoAVJ+rNWrUULanpqaqPM6iNnDgQOzdu1dZ/6xZs+Dk5JTrafyCyvq67NKli7KXN6fXpZubG0xMTJSnY//++2/07dtXOcbO398/2/vVrl1b5e+hr6+f7Rjf0NBQ/Pvvv6Vujj0Gu2IqNTVVpYfN2dlZ+aLP7MmTJ8pxc+fOnUNUVJTyxdK9e3csX74ccrlc5Q22a9euanPGffXVVzh9+jQEQUBISAg6d+6Mtm3bws7ODvHx8Xjy5AmuX7+OpKQk5WDl/KpcubLyAom9e/dCT08PxsbGOHToUI6ngj7//HPs2bMHgiBALpdjwIAB6N69OxISErBv374cf1ZRPg5tynzq4/z581i0aBGsra1hbW2Nnj17olq1amjSpIny4oOff/4ZFy5cQI0aNSASifD27Vvcvn0bz58/x5gxY7Kd+yknmh57woQJSEhIQIMGDeDg4AArKyu8evVKeREPoPrNN/NjjIqKwvTp01GlShWIRCIMGDCgUFNhdO3aFStXrlR+Wdm2bRu++uormJqaqp2iHDlyJJo1a4bHjx8rQ0h2sk6BMXv2bDRr1gxisRitWrVC5cqVS8Tz62PW2KVLF6xYsUJ56uzbb79F7969IRKJ1Kab0VTGVZEVKlTA8ePHVXrr+/Tpo7b/oEGDlMNOMsYgSyQSdO7cWeMa7t+/n+PVtHPmzEGNGjXQo0cP5XvTsWPHEB8fr3ZVLJA+Ji5jKEnlypWVPWXnzp3DzJkzYWdnh+PHj6tcCVrU3N3dMX78eGVHQHh4OHr16qUcx6mvr4/Q0FDlpOCayPq6nDJlCjp27Ig3b97g8OHD2d5HX18f3bt3V17ocP36dXz55ZfKq2IvX76c7f2srKzQq1cv7NmzB0D6XIH3799HnTp1YGhoiLCwMNy9excPHz5Ejx490KxZM40fV3HEYFdMnTp1SmV8wfjx49G1a1e1/S5fvowhQ4YASB+H4e/vrxwM7+joiCZNmqh88ALZf3P18fHBjz/+iHnz5kEmk+Hdu3fYunWrVh7LqFGjMGnSJADpPQVbtmwBkP7tOnPAyKxWrVoYPny4ch678PBw5fQnXl5eCAsLU56SyXzqoSgfhza1bdtW+S0+OTlZ+djc3d2VHyC//fYbhg4diuDgYCgUCpw9e1Zr3+I1PXZ4eLjKWM3MrKyslFdcAkCzZs1gbGys7K3L3APdo0ePQgW7jG/gGdNuxMTEKKeEaNWqFTw8PJRfJm7fvq28CKRHjx45ruLi7OyMTz75RDnwPGPuMSB9HFPlypVLxPPrY9ZYvnx5TJs2Tfl3SExMxObNmwGkn1q0sbFRBhdN1atXD4cOHVJr/+yzz7INpt7e3qhRo4bKhR2tWrVSTiOkiaSkJOUZhKwyws7//vc/hISEqFzJmnVgf926dfHDDz8obw8bNgwXL16ETCaDQqHA7t27AaSfZm/Xrh1OnDihcc0FNXLkSBgbG+O3336DVCqFXC7P9X2hoL/PGjVqoFmzZrh48SIA4NmzZ1ixYgWA3F+XEyZMwD///KN8HmV+XdavXz/Hsz4zZsxAaGiocsqTK1euqEzrUprx4oliKvOHoLm5eY7zCjVs2FBl8GzWF0fWb5leXl45jtMbMGAA/Pz80LdvX1SqVAnGxsbQ19eHnZ0d6tevj9GjR2f7BpuXTp06YdmyZahWrZpyAXdfX1/s2bMn13EP3333HX7++We4u7vDwMAA9vb2GDhwIDZv3oyEhATlflnHYRTV49Cm1q1bY+bMmahSpUq2K24A6QOD9+zZg1mzZqFhw4awtraGWCyGiYkJ3Nzc0LVrVyxatEijaUQ0OfZ3332HL774Al5eXrC3t4eBgQGMjY3h5uaG/v37Y//+/SrPRXt7e+Xs9dpa6SOzzz//XGUg/ebNm5GSkgIDAwNs2bIFPXv2hJWVFSQSCTw8PPDzzz8rT9fmZMWKFWjbti2srKxyHKtUEp5fH7PGAQMG4Pfff4eXlxckEgmsra3RrVs37N27N9fXd35t2LABo0ePhrOzMwwMDODk5IQxY8ZgxYoVOf6NMs/rCRTtadgMJiYm2Lx5M+bOnYsGDRrAysoK+vr6sLS0RP369TFnzhxs27ZNZaJhHx8fbNiwAXXq1IFEIoG5uTlatGiBXbt2wcPDo8hrzmrw4ME4ffo0xo4di08//RQ2NjbQ19eHkZERKlSogCZNmmDs2LHw8/PTaGLfFStW4Msvv1S+f7i6umLSpEn45ZdfcryPpaUldu7ciT59+sDGxgYSiQTVqlXD/Pnzc309GxsbY+PGjVi8eDFatGgBOzs75WNxcXFB+/bt8fPPP5fKCYpFQkEv1yP6SFJSUrLt1Tl79qxyzA2QPnGuLsfLEVHxcufOHfTt2xdA+pmLs2fPqqxqQ1Sa8VQsFVtLlixBcHAwWrVqBWdnZ8hkMty/f1853gJI794v6qsPiaj4S01NxZ07dxAXF6eyhGG/fv0Y6qhMYbCjYksQBJXxFFm5urpi+fLlWplQk4hKtvDwcJWF6AGgYsWKam1EpR2DHRVbbdq0QWRkJO7evYuoqChIpVKYm5vD3d0dbdu2Re/evUvVbOFEpB02NjZo2LAhJk+erDKmjags4Bg7IiIiolKCV8USERERlRIMdkRERESlRJkbY6dQKCCTyaCnp8dB90RERFTsCYIAhUIBfX196Onl3idX5oKdTCZDUFCQrssgIiIiKpCaNWtCIpHkuk+ZC3YZSbdmzZqc24iIiIiKPblcjqCgoDx764AyGOwyTr+KxWIGOyIiIiox8jOEjBdPEBEREZUSDHZEREREpQSDHREREVEpwWBHREREVEow2BERERGVEgx2RERERKUEgx0RERFRKcFgR0RERFRKMNgRERERlRJlbuUJIiIiIgAQBAGP30tx5UUyElIUMDPSQ0M3Y3iWk+RrlYfiiMGOiIiIypyQyDQsPRGJpx/SVNr33oiHu4MBJrazhautgY6q0xxPxRIREVGZEhKZhil7w9RCXYanH9K3h0Rmv704Y7AjIiKiMkMQBCw9EYnEVCHX/RJTBSw7GQVByH2/4oanYomIiKjUu/IiGT/7RxToPk/CpOj8eyh+7GKHhm7GRVSZdrHHjoiIiEq9goY6bd33Y2OPHREREZU6kQlyBIWm4N6bVASFpuq6nI+GwY6IiIhKvMgEOYLepCAoND3IvYmRae3YP3ax09qxihqDHREREZU4UYlyBIWm4l5oitaDXGaL+zqgWjnDIjl2UWCwIyIiomIvI8gFhaYg6E0qQqPzH+T09QDPchLUdDZCjQoSbAqMxfPwvKcy8XCUwNNRUpiyPzoGOyIiIip2ohLluP8mPcjdCy1YkBPrAZ6O6UGuprMhqpeXwMjgv+tFbcz0MWVvWK5TnpgaijChrU2JW4GCwY6IiIh0Lvr/g9y9/++Rex1VsCDn4ShBTWdD1HIyQvUKqkEuK1dbA/zW2zHblSeA9GNNaGtTIleeYLAjIiKijy4mSY6g/79iNSg0Ba8KGOTcHSWolc8glx1XWwMs/cIRj8OkuPI801qxVYzh6ci1YrVix44d2LlzJ968eQMAcHd3x+jRo9GiRQsAQGpqKhYsWICjR49CKpWiadOm+Omnn2BnV3KuViEiIiqLYv8/yN0rTJBzMkRNZyNULy+BsaTwU/GKRCJUK2dYoi6OyEuxCnblypXD5MmT4erqCkEQcPDgQXz77bfw8/ODu7s75s2bh/Pnz2PZsmUwNzfHzz//jDFjxmDXrl26Lp2IiIgyic3cI/cmBSGR+Q9yeqL/Tq3WdDbEJ+UNtRLkyoJiFexatWqlcnvixInYuXMn7ty5g3LlymH//v1YtGgRGjVqBACYN28efH19cefOHXh7e+ugYiIiIgKA2GQ57oemKicEDonM+6rTDHqi9B65mk7/H+QqGMKEQU4jxSrYZSaXyxEQEICkpCTUqVMH9+/fR1paGho3bqzcp0qVKqhQoYJGwU4ul2u5YiIiorIjLlmO+2+luP9GiqA3qQXukavqYICaToao4SRB9fKSLEFO4Od0JgX5XRS7YPf48WN88cUXSE1NhYmJCVatWoWqVasiODgYBgYGsLCwUNnf1tYW4eHhBf45QUFB2iqZiIio1EtKE+FlrAH+jZXgZawEYUn5jxAiCKhgJkNlSykqWabBxSINRvr/P9VINPAkuoiKLoOKXbCrXLkyDh48iPj4eBw/fhzff/89tm/frvWfU7NmTYjFYq0fl4iIqDSIT1Hg/ptUZY/cywL2yFWxN0ANp/TTq59UyNojRwUhl8vz3SFV7IKdRCKBq6srAKBGjRoICgrC1q1b0bFjR6SlpSEuLk6l1y4yMhL29vYF/jlisZjBjoiI6P/Fp2RMCJx+5erLiDTkPH2vqowglzEhsFcFQ5gaMsjpQrELdlkpFApIpVLUqFEDBgYGuHz5Mtq3bw8AePHiBd6+fcsLJ4iIqEwSBAGP30tx5UWmedjcjOFZLu952DJ65DKW6Po3vGBBzu3/g1wtJ0N4OTHIFRfFKtgtXrwYzZs3R/ny5ZGYmIgjR47g2rVr2LhxI8zNzdGrVy8sWLAAlpaWMDMzw9y5c1GnTh0GOyIiKvVCo9Ow7nwMXkelX20qUwiIS1ZAplDdb++NeOjrARbGetDXE6GijQFGtLCCpbEYD96m4t7rggc5EQA3BwPUcjJELWcjfOJkCDMGuWKpWAW7yMhIfP/99/jw4QPMzc3h6emJjRs3okmTJgCAGTNmQE9PD+PGjVOZoJiIiKi0W3suBrdepeRrX5kCiEpMT3wf4uWYsDMMKWmCRkGuprMRvBjkSgyRIAj5/TuXCnK5XDk9CsfYERFRSfGjX3i+g11BiZBxavX/g1wFQ5gbMcgVFwXJLsWqx46IiIiyN/IzK6w/H4Pn4VJEJynyvkMuRAAq2xv8/4TARqjhxCBXWjDYERERlQDO1gaY3d0emwNjsPdGfIHvX9nOALWcM4KcBOZGPGtVGjHYERERlSAJKQXrravrYogpHWxhYcwgVxYw2BEREZUAGVfFPnybWqD7vY2RIS5FwWBXRvCEOhERUQmw9lwMboakIDmtYNc8vo+TY+25mKIpioodBjsiIqJiTiEIeBebpusyqATgqVgiIqJiLC5ZjsXHo/AuVl6g+4kAWJvqwc1OguEtrIqkNip+GOyIiIiKqSfvUzHvaCTC41VDnYO5GF81tcKBm3F4+kG9J8/DUYIJbW3gamvwsUqlYoLBjoiIqJgRBAFHgxKx7kI0ZFk66upVMsJ37W1gbiRGM3djPA6T4srzTGvFVjGGp2Pea8VS6cRgR0REVIykpCmw4nQ0zj1OUmnXEwEDG1qidz1z6P1/aBOJRKhWzhDVyhnqolQqhhjsiIiIionQ6DTM+zsCIZEylXZLYz1M7WALbxcjHVVGJQWDHRERUTFw8WkSlp+MUpvOpHp5Cab52sLOjB/ZlDc+S4iIiHQoTS5g06UYHLqToLatex0zfNXECvpijpej/GGwIyIi0pGIeBnmH4vEo3dSlXZjiQgT2tigqbuJjiqjkorBjoiISAduv0rBwoBIxCWrrv3qaquPGZ3s4GzNqUqo4BjsiIiIPiKFIGDP9ThsvxyHrIuDtapmgm9bWcPIgAtDkWYY7IiIiD6S+BQ5Fh2Pwo2XKSrt+mJgVAtrdKhhyvnnqFAY7IiIiD6Cp2FSzPs7Ah+yWUViRic7uDtKdFQZlSYMdkREREVIEAQcC0rE2mxWkfCpZITJ/7+KBJE2MNgREREVkZQ0BVaeicbZR6qrSIgADGxkiT6ZVpEg0gYGOyIioiKQ2yoSUzrYog5XkaAiwGBHRESkZZeeJmHZqSgkS7NZRaKjLezM+fFLRYPPLCIiIi2RyQX8mcMqEt28zfB1U64iQUWLwY6IiEgLIhJkWHA0EsFZV5EwEGF8Wxs04yoS9BEw2BERERXSnf9fRSKWq0iQjjHYERERaSh9FYl4/HUlFoosy0i0rGaCMVxFgj4yBjsiIiINxKfIsfh4FK5ns4rEyObW6FiTq0jQx8dgR0REVEBPw6SYfzQCYXHqq0hM97WFRzlDHVVGZR2DHRERUT4JgoCA+4lYcz6bVSRcjfBdextYGHMVCdIdBjsiIqJ8SElTYNWZaJzJdhUJC/SpZ8FVJEjnGOyIiIjy8CY6Db/8HYmQyDSVdgtjPUzlKhJUjDDYERER5SKnVSSqlZdgOleRoGKGz0YiIqJsyOQCNgXG4ODt7FeR+KqpFQy4igQVMwx2REREWUQkyPDr0Ug8zG4ViTY2aObBVSSoeGKwIyIiyuTu6xQsPBaJmCyrSLjYpK8iUdGGq0hQ8cVgR0REhPRVJPZej8f2bFaR+MwzfRUJYwlXkaDijcGOiIjKvPgUBRYfj8x2FYkRza3hy1UkqIRgsCMiojItp1Uk7M3FmMFVJKiEYbAjIqIyKbdVJD51NcJkriJBJRCDHRERlTkpaQr8cTYap4PVV5EY0NACfetzFQkqmRjsiIioTHkTnYZ5f0fiZdZVJIz+fxUJV64iQSUXgx0REZUZgU+TsDS7VSTKSTDN1xb2XEWCSjg+g4mIqNSTyQVsDoyBXzarSHT1NsPXXEWCSgkGOyIiKtUiE+T49VgEHrxVXUXC6P9XkWjOVSSoFGGwIyKiUiunVSQq/v8qEi5cRYJKGQY7IiIqdRSCgH034rHtMleRoLKFwY6IiEqV+BQFlpyIxLV/s6wioQcMb26FTrXMuIoElVoMdkREVGo8+yDFvL+zWUXCTIxpnWxRjatIUCmncbBLTEzEixcvEB0dDZFIBGtra1SqVAlmZmbarI+IiChPgiDg+INErDkXjTSuIkFlWIGC3evXr3Hw4EGcPn0aT58+hUKhOhhVT08PVatWRZs2bdC9e3dUrFhRq8USERFlldsqEv0bWuALriJBZUi+gt2zZ8/w+++/4+TJk7CwsED9+vXRoUMHVKxYERYWFhAEAXFxcQgNDcWDBw+wfft2/PHHH2jbti3Gjx+PKlWqFPXjICKiMuhNdBrmH43EvxHqq0hM7mCDT12NdVQZkW7kK9h169YNLVq0wNq1a9G4cWPo6+d+N5lMhn/++Qe7du1Ct27dcP/+fa0US0RElCHwWRKWnYxCUpZVJDzLSTCdq0hQGZWvZ/3hw4cL1Oumr6+P5s2bo3nz5nj+/LnGxREREWUlkwvY/E8s/G7Fq23rUtsMQ5txFQkqu/IV7ApzKpWnYYmISFtyW0ViXGsbtPDkKhJUtmmln1qhUODOnTsICwuDvb09vL298zxdS0REVBBcRYIob4VOX8+fP8c333yD9+/fw8LCAtHR0XB0dMSqVatQvXp1bdRIRERlWG6rSLTwMMHY1lxFgihDoV8Js2fPRvPmzXH9+nVcunQJFy9eRMWKFfHjjz9qoz4iIirD4lMU+Nk/Alv+UQ11+nrAN59ZYUoHG4Y6okzy/WqYOXMmYmJi1NpfvnyJHj16wNAwfTZvGxsbtGvXDi9fvtRWjUREVEoJgoBH71KxOTAGK09HYXNgDB69S4UgCHj2QYrxO9+rLQ1mbybGr70d0Lm2OZcGI8oi36diP3z4gHbt2uHbb7/FwIEDIRanz+Bdv359LFiwAOPHj4e9vT1evHiBTZs2oX79+kVWNBERlXwhkWlYeiISTz+ozkG390Y8HMzFiEqUQ6Y6nA51/38VCUuuIkGULZEgCELeu6W7ePEiFixYAIVCgenTp6N58+ZISEjArFmzEBAQAJlMBn19fbRq1QqzZs2CjY1NUdauEblcjjt37sDb21sZTomI6OMKiUzDlL1hSEzN30eQCED/BhboW98CYj320lHZUpDsUqBgl3Hwbdu24Y8//oC3tzdmzJiBSpUqQaFQIDo6GlZWVhoHprVr1+LEiRN48eIFjIyMUKdOHUyePBlubm7KfQYNGoRr166p3K9v376YM2dOvutnsCMi+vhCo9Ow7nwMXkelZdsblxOxCPi2lRXa1zAv2gKJiqmCZJcCjzgVi8UYMmQIAgIC4OjoiG7dumHBggVISkqCra1tocLStWvXMGDAAOzZswebNm2CTCbD0KFDkZSkuv5fnz59cOnSJeV/U6dO1fhnEhHRx7H2XAxuhqTgQ3z+Qx0AyAXg0tOUvHckooIHO6lUivj4eNjY2ODnn3/Grl27cP/+fbRr1w579uxBATsAVWzcuBE9e/aEu7s7qlWrhgULFuDt27d48OCByn5GRkawt7dX/mdmZqbxzyQiIiIqLfId7D58+IBhw4bB29sb9evXR/v27XH9+nVUr14d27dvxw8//IDVq1ejR48euH79ulaKi49PXy7G0tJSpd3f3x8NGjRA586dsXjxYiQnJ2vl5xERUdHpVFvzL+GFuS9RWZLvq2JnzpyJN2/eYPPmzbCwsMCaNWswduxYnD17FsbGxvD19UWrVq2wbt06DB8+HC1atMDy5cs1LkyhUGDevHmoW7cuPDw8lO2dO3dGhQoV4ODggMePH2PRokX4999/sXLlygIdXy6Xa1wbEREV3JE76mu7FuS+9VwlWqyGqOQoSGbJd7C7ceMGJk+erJzGZPLkyWjTpg2ePXuGmjVrAkg/RTpu3Dh8/vnnWLhwYQHLVjV79mw8ffoUO3bsUGnv27ev8t+enp6wt7fHkCFD8OrVK7i4uOT7+EFBQYWqj4iICiYu3hKAoYb3jcOdO6+1WxBRKZTvYGdvb4+7d+/iiy++AADcvXsXIpEI9vb2avtWqFABy5Yt07ioOXPm4Ny5c9i+fTvKlSuX6761a9cGAISEhBQo2NWsWZNXxRIRfUR2rjJsvBSLF+FpiE7K39UT+npAbWdDDG3mAGfrykVcIVHxJJfL890hle9g991332HixIm4efMmzM3N8fDhQwwaNCjP4FUQgiDg559/xsmTJ7Ft2zZUrFgxz/sEBwcDQLYBMzdisZjBjojoI3K1E2NkC2tM3fchX/ubGorwW29HuNoaFHFlRKVHvoNdmzZtcPToUQQGBiIlJQUzZszAp59+qtViZs+ejSNHjuCPP/6AqakpwsPDAQDm5uYwMjLCq1ev4O/vjxYtWsDKygqPHz/G/PnzUa9ePVSrVk2rtRARkXZFxMvwg184YjL11olEQHaTKXg4SjChrQ1DHVEBFXiC4qLk6emZbfv8+fPRs2dPvHv3DlOmTMHTp0+RlJSE8uXLo02bNhg9enS+pzzhBMVERB9fbLIc3+/7gNdRMmWbgRiY1dUORhI9XHmejIQUBcyM9NCwijE8HSVcB5bo/xUku+Srx+7du3coX768RsUU5L6PHz/OdXv58uWxfft2jeogIiLdSEpVYObBcJVQpycCpvnawdvFGABQrZxmF1UQkap8zWPXtm1bTJ8+Hffu3cv3gW/duoWpU6eiXbt2GhdHREQlW6pMgTn+EXj2IU2lfWJbGzR0M9ZRVUSlV7567Hbs2IFly5ahT58+qFChAho2bAgvLy84OzvDwsICgiAgLi4OoaGhuH//Pq5cuYKwsDA0aNAAf/31V1E/BiIiKoZkcgELjkYi6E2qSvvIFlZoVd1UR1URlW75Cna1atXCn3/+ieDgYOzfvx9nzpzBgQMHAEA5BiJjqF7GuLdevXqhevXqRVQ2EREVZwpBwLJTUbj2r+oarwMaWqCrt7mOqiIq/TS+eCIsLAwvXrxATEwMAMDKygpubm5wdHTUZn1ax4sniIiKliAIWHM+BkfuJqi0d/M2w/DmVrwogqiAtH7xRHYcHR2LfYgjIqKPb/uVOLVQ16a6CYYx1BEVuXxdPEFERJQffrfisetanEpboyrGGNfGBnoMdURFjsGOiIi04sSDBGy4GKPSVruiIaZ2sIVYj6GO6GNgsCMiokILfJaEFaejVdo8y0nwY2c7SPQZ6og+FgY7IiIqlNuvUrAwIBKKTJfiudoaYHY3OxhL+DFD9DHxFUdERBp79C4Vc49EQCb/r62cpRg/d7eHuRFnHiD62LQS7OLj4yGXy/PekYiISo2XEVLMPBSOlLT/uupsTPUwt4cDbM0Y6oh0QeNgFxQUhKFDh6J27dpo0KABrl27BgCIiorCN998g6tXr2qtSCIiKl7excjwg184ElP/C3Vmhnr4ubs9yltqPJMWERWSRsHu1q1b6N+/P0JCQtC1a1coFArlNhsbGyQkJGD37t1aK5KIiIqPyAQ5/uf3AdFJ/733GxmIMLu7HSrZSXRYGRFpFOyWLl2KKlWq4OjRo5g4caLa9gYNGuDu3buFLo6IiIqXuGQ5fvD7gLC4/4bf6IuBHzvboVo5Qx1WRkSAhsEuKCgIPXv2hEQiyXYWcUdHR0RERBS6OCIiKj6SpAr8dCgCr6JkyjY9EfB9B1t4uxjpsDIiyqBRsNPX11c5/ZpVWFgYTExMNC6KiIiKF6lMwFz/CDwJk6q0j2tjg8ZV+X5PVFxoFOxq166N48ePZ7stKSkJBw4cQL169QpVGBERFQ9yhYCFAZG4G5qq0j68uRXafmKqo6qIKDsaBbtx48bh/v37GDFiBC5cuAAAePz4Mfbu3YuePXsiKioKo0eP1mqhRET08SkEActPReHy82SV9n71LdC9jrmOqiKinIgEQRDy3k3d5cuXMWvWLISEhKi0u7i4YO7cuahfv75WCtQ2uVyOO3fuwNvbG2Ix51kiIsqJIAhYdyEGh+8kqLR3qW2GkS2ssh1jTUTaV5DsovFkQ40aNcLx48cRHByMly9fQhAEVKxYETVq1OCLnYioFNh5NU4t1LWqZoIRDHVExZZGwe7gwYPw8fGBs7MzqlevjurVq6tsDw0NxY0bN9C9e3dt1EhERB/Zodvx+OtqnEpbAzcjjG9jAz2GOqJiS6MxdtOnT8ft27dz3H7v3j1Mnz5d46KIiEh3Tj1MxLoLMSpttZwNMa2jHfTFDHVExZlGwS6vYXlJSUkcv0ZEVAJdfp6E5aeiVNo8HCX4sYsdJPoMdUTFXb5PxT569AiPHj1S3r5x4wbkcrnafnFxcdi1axcqV66snQqJiOijuPs6BQuORUKR6bu7i40+Znezg4lE46XFiegjynewO3XqFFauXAkAEIlE2L17d47rwVpYWODXX3/VToVERFTkHr9PxRz/CMgyfV93tBDj5x72sDDmGRiikiLfwa5Pnz747LPPIAgCevfujXHjxqF58+Yq+4hEIhgbG8PFxQX6+hpfcEtERB/RywgpfjoUgZS0/7rqrEz0MLeHPezM+F5OVJLk+xXr4OAABwcHAMDWrVtRpUoV2NraFllhRERU9N7HyvDjwXDEp/y3TKSpoQhzu9ujgpWBDisjIk1o9FWsuE4+TERE+ReVKMf//D4gKvG/UGeoL8LsbvaobC/RYWVEpCmN+9jDw8Oxb98+PHz4EPHx8VAoFCrbRSIRtmzZUugCiYhI++JT5PjBLxzvY/8bVKevB/zY2Q7VyxvqsDIiKgyNgt2jR48wePBgpKSkoHLlynjy5AmqVq2KuLg4hIWFwcXFBeXKldN2rUREpAXJUgVmHYpASGSask1PBEztYIs6rkY6rIyICkuj69cXL14MExMTBAQEYNOmTRAEATNmzMD58+exdOlSxMbGYvLkydqulYiICilNJuCXvyPw6L1UpX1sa2s0cTfRUVVEpC0aBbtbt26hb9++qFChAvT00g+RMWlxx44d0aVLFyxcuFB7VRIRUaHJFQIWBkTi9qtUlfahzSzRzstMR1URkTZpFOwUCgXs7OwApM9ZJxaLERMTo9zu6emJBw8eaKVAIiIqPIUgYMXpaPzzPFmlvW89C/Ssa6GjqohI2zQKds7OzggNDU0/gJ4enJ2dcfnyZeX2W7duwdzcXDsVEhFRoQiCgI0XY3DyYaJKe+daZhjUiKGOqDTR6OKJpk2bIiAgABMnTgQA9OvXDwsWLMDr168hCAKuXbuGr776SquFEhGRZnZfj8PB2wkqbZ95mmDkZ1YQibj+K1FpolGwGzVqFDp16oS0tDQYGBjgyy+/RFJSEk6cOAE9PT2MHj0aI0eO1HatRERUQP5347HtcpxKW/3KRpjY1gZ6DHVEpY5IyLjqoYyQy+W4c+cOvL29IRZz/UMiKr3OPErE4uNRKm01nQwxu7sdDPU1GolDRDpQkOxSJK/sS5cuYfDgwUVxaCIiyoerL5Kx9IRqqKvqYICZXRjqiEqzAp+KDQoKwuvXr2FhYYF69erB0PC/GcqPHj2KDRs24OHDh7Cw4IBcIiJduBeagvlHI6DIdD7G2Vofc7rZw8SQoY6oNMt3sIuPj8eoUaNw69YtZZutrS3Wr18PiUSCKVOmIDg4GI6Ojpg6dSr69OlTJAUTEVHOnoZJMedwBNL+WykM9uZizO1hD0sTDj8hKu3yHeyWL1+OmzdvwtfXF59++ilCQ0Oxc+dOTJs2DZGRkTA0NMS8efPQpUsX6OtrvAQtERFp6FVUGmYeDEdy2n9ddVbGevilhz3szfm+TFQW5PuVfubMGXTs2BFLlixRtlWtWhX/+9//4O3tjT///BMmJlyOhohIF8LiZPjBLxxxKQplm6lEhDk97OFkbaDDyojoY8r3YIsPHz6gUaNGKm0ZtwcPHsxQR0SkI1GJcvxwIByRCf+dfzXUF2FWN3tUsZfosDIi+tjyHexkMhmMjY1V2jJuW1tba7cqIiLKl/gUBWYeDMfbWJmyTV8PmNHJFp9UMMzlnkRUGhVo0EVycrLKmrCxsbEAgMTERJX2DFZWVoWpjYiIcpGSpsDsw+H4NyJN2SYCMLm9LXwqGed8RyIqtfI9QXG1atWyXXpGEIQcl6QJDg4uXHVFgBMUE1FpkCYXMMc/ArdCUlTax7a2RocaZjqqioiKQkGyS7577MaMGVPowoiIqPDkCgGLjkeqhbqvmlgy1BGVcQx2REQliCAIWHkmGpeeJqu09/Yxx+c+nBieqKzjFORERCWEIAj481IsTjxIVGn3rWmKLxtb6qgqIipOGOyIiEqIvTficeBWvEpbcw8TjPrMOsexzkRUtjDYERGVAH/fS8CWf2JV2nxcjTCpnQ3Eegx1RJSOwY6IqJg79zgRq89Gq7R5VTDE9E62MBAz1BHRfxjsiIiKsWv/JmPJiShknpeqir0BfupqByMDvoUTkSqN3hWuX7+OqKioHLdHRUXh+vXrGhdFRETA/TcpmP93JOT/Lf8KJyt9zOluD1NDhjoiUqfRO8PgwYMRGBiY4/YrV65g8ODBGhdFRFTWPfsgxezDEZDK/+urszcTY24Pe1iZcHJ1IsqeRsEur8UqpFIpV3UgItLQ66g0/HgwHEnS/95rLY31MLenPRwsCrQSJBGVMfl+h3j79i3evHmjvP3ixYtsT7fGxcVh165dqFChgnYqJCIqQz7EyfCjXzjikv87/2oiEWFOd3s4WxvosDIiKgnyHewOHDiAlStXQiQSQSQSYc2aNVizZo3afoIgQCwWY/bs2VotlIiotItJkuMHv3CEJ8iVbRKxCD91tUNVB4kOKyOikiLfwa5jx45wd3eHIAiYMGECBg0aBB8fH5V9RCIRjI2NUb16ddjZ2Wm9WCKi0iohVYEfD4bjTYxM2SbWA2Z0skUNJyMdVkZEJUm+g12VKlVQpUoVAMD8+fPh4+ODihUrFllhRERlRUqaAnMOh+NFeJqyTQTgu3a2qFfZWHeFEVGJo9Eo3B49emTb/vr1a0ilUmUAJCKi3KXJBcz/OxIP3kpV2ke3tEYLTxMdVUVEJZVGV8Vu27YNEydOVGmbPn062rVrh86dO6Nnz56IjIws8HHXrl2LXr16oU6dOmjUqBFGjx6NFy9eqOyTmpqK2bNno0GDBqhTpw7Gjh2LiIgITR4GEZFOyRUClpyIxI2QFJX2LxtbwreWmY6qIqKSTKNgt2fPHtja2ipvX7x4EX5+fujTpw9++OEHhIaGYuXKlQU+7rVr1zBgwADs2bMHmzZtgkwmw9ChQ5GUlKTcZ968eTh79iyWLVuGbdu24cOHDxgzZowmD4OISGcEQcAfZ6Nx4UmySnuvT83R28dcR1URUUmn0anYt2/fqpxuPXbsGJydnZVXwkZERODQoUMFPu7GjRtVbi9YsACNGjXCgwcPUK9ePcTHx2P//v1YtGgRGjVqBCA96Pn6+uLOnTvw9vbW5OEQEX10W/6JRcD9RJW29jVM8VUTS4hEXP+ViDSjUbDLOkFxYGAgWrdurbzt5OSkldOj8fHxAABLS0sAwP3795GWlobGjRsr96lSpQoqVKhQ4GAnl8vz3omIqAjsvxWPvTfiVdqaVDXCqOYWUCgUOdyLiMqqgmQWjYJdpUqVcOrUKfTr1w8XL17Ehw8f0Lx5c+X29+/fw8LCQpNDKykUCsybNw9169aFh4cHgPSeQAMDA7Vj29raIjw8vEDHDwoKKlR9RESauPHeCIefqb6HVbVKRWuHDwi690pHVRFRaaFRsBs6dCi+++471KtXD8nJyahSpQqaNm2q3H716lVUq1atUIXNnj0bT58+xY4dOwp1nJzUrFmTy54R0Ud18Wky/J9Fq7RVLy/B7K7lYGSg0ZBnIioD5HJ5vjukNAp2nTp1gpWVFc6fPw8LCwv0798f+vrph4qJiYGlpSW6deumyaEBAHPmzMG5c+ewfft2lCtXTtluZ2eHtLQ0xMXFqfTaRUZGwt7evkA/QywWM9gR0Udz42Uylp6MRuaBLJXtDDCrmz1MDRnqiEg7NF5NukmTJmjSpIlau5WVlUZXxALpY/d+/vlnnDx5Etu2bVObALlGjRowMDDA5cuX0b59ewDpa9a+ffuWF04QUbH14E0q5v0dCVmm4XMVLPXxc3d7mDHUEZEWaRzsACAsLAzXr19HZGQk2rdvj3LlykEulyM+Ph7m5uYF7hGbPXs2jhw5gj/++AOmpqbKcXPm5uYwMjKCubk5evXqhQULFsDS0hJmZmaYO3cu6tSpw2BHRMXS83ApZh8OR6rsv746WzMxfulpD2tTnjUgIu3S+KrYBQsW4K+//oJMJoNIJIKHhwfKlSuHpKQktGrVCuPGjcOQIUMKdNydO3cCAAYNGqTSPn/+fPTs2RMAMGPGDOjp6WHcuHGQSqVo2rQpfvrpJ00eBhFRkXoTnYYf/cKRKP0v1FkY62FuD3s4WBTqezURUbY0emfZsGEDtm7diuHDh6NRo0b46quvlNvMzc3Rrl07nDhxosDB7vHjx3nuY2hoiJ9++olhjoiKtfB4Gf7nF47Y5P/OvxpLRJjTzR4uNgY6rIyISjONgt3evXvRvXt3TJo0CdHR0WrbPT09ceHChUIXR0RU3AmCgMfvpbjyIhkJKQqYGemhRgVDrLsQjfD4/+aeMhADM7vYwd1RosNqiai00yjYvXv3DnXq1Mlxu7GxMRISEjQuioioJAiJTMPSE5F4+iFNpX0vVCcf1hMB033tUMvZ6GOWR0RlkEbBztbWFu/evctx+4MHD1C+fHmNiyIiKu5CItMwZW8YElOFPPed1M4GDdyMP0JVRFTWaRTs2rZti127dqFnz54wMzMDAOXahpcuXYKfnx+GDh2qvSqJiIqB0Og0rDsfg9dRaYhKlKtMX5ITPRFw9lEi3B0lcLbm2DoiKloiIevCr/kQHx+PAQMGIDQ0FD4+Prh48SIaN26MpKQk3LlzB9WrV8dff/0FY+Pi9w1VLpcr15XlBMVEVBA/+oXj1qsUje5b18UIP/co2ETqRERAwbKLRjNjmpubY8+ePRg2bBjCwsJgaGiI69evIz4+Ht9++y127NhRLEMdEVFhhEan5b1TDt7EaH5fIqL8KvCp2NTUVOzevRvVq1fH6NGjMXr06KKoi4iIiIgKqMA9doaGhli0aBH+/fffoqiHiKjYKswYOScrjq8joqKn0alYd3d3vHnzRtu1EBEVayM/s4KPqxHMjQr21lmtvAQjP7MqmqKIiDLRKNhNnDgRu3btwj///KPteoiIii1nawN0rGWG1LR8XA77/zwcJVjU24FXxBLRR6HRdCfbt2+HlZUVhg4dCmdnZzg7O8PQ0FBlH5FIhNWrV2ulSCKi4uDvewlYcy4ainzOJWBqKMKEtjbK6aCIiIqaRsHuyZMnAIDy5ctDLpcjJCREbR++kRFRaSEIArb8E4u9N1RXlDA1FMHGRIzX0TK1+3g4SjChrQ1cbdlTR0Qfj0bB7syZM9qug4ioWEqTC1h+KgpnHyWptJezFGNON3tUsNLH4zAprjz/b63YhlWM4eko4RdcIvroNAp2RERlQWKqAr/8HYG7r1NV2j0cJfipqx2sTNInCq1WzhDVyhlmdwgioo9K42Anl8sREBCAq1evIjIyEuPGjYOnpyfi4+Nx+fJl1K1bF3Z2dtqslYjoo4lIkGHWoQj8G6E6sXD9ykb4vqMtjAw0uvaMiKhIaRTs4uLiMGzYMNy7dw8mJiZITk7GwIEDAQAmJiaYO3cuunfvjkmTJmm1WCKij+FlhBQ/HYpARIJcpb1DDVOMbmkNsR5PsRJR8aTRV85Fixbh6dOn2LhxI06dOoXMy82KxWK0b98e58+f11qRREQfy73QFEzd+0Et1A1qZIkxrRjqiKh40yjYnT59GoMGDUKTJk2yHRxcqVIlTmBMRCXO+cdJ+PFgOBKlmb6s6gET29rgi/oWvBiCiIo9jU7FxsfHw9nZOcftMpkMcrk8x+1ERMWJIAg4cCsef16KVWk3NhBhRic71HU10lFlREQFo1Gwc3FxwYMHD3LcHhgYiCpVqmhcFBHRxyJXCFh/IQb+dxNU2m1M9TCrmz2q2Et0VBkRUcFpdCr2888/x/79+3H06FHl+DqRSASpVIqlS5fi4sWL6Nu3r1YLJSLStlSZAvOPRqqFuoo2+ljcx5GhjohKHI167L788ks8e/YMkyZNgoWFBQBg8uTJiImJgUwmQ9++fdG7d2+tFkpEpE1xyXLM8Y9A8DupSrtXBUP82MUO5kaczoSISh6Ngp1IJFJOaXL8+HGEhIRAoVDAxcUFHTt2RL169bRdJxGR1ryPlWHmwXC8iVFdCqypuzG+a2cLiT4vkiCikqlQK0/4+PjAx8dHW7UQERW5p2FSzDoUjphkhUp7jzpm+LqZFfR45SsRlWAanWuoXr06/P39c9x+9OhRVK9eXeOiiIiKwo2XyZi2/4NKqBMBGN7cCsOaWzPUEVGJp1GPXeYJibMjl8s53xMRFSvH7ydg5ZloKDK9fRmIge/a26KZu4nuCiMi0iKNT8XmFNwSEhJw6dIlWFtba1wUEZG2CIKAHVfjsONqnEq7maEefuxihxpOhjqqjIhI+/Id7FauXIlVq1YBSA91U6ZMwZQpU7LdVxAEDBo0SDsVEhFpSCYXsPJMNE4+TFRpdzAXY3Z3e7jYGOioMiKiopHvYFezZk30798//dvvjh1o0qQJKlWqpLKPSCSCsbExvLy80K5dO23XSkSUb0nS9DnqboWkqLRXsTfArG72sDEV66gyIqKik+9g16JFC7Ro0QIAkJycjC+++AK1a9cussKIiDQVlSjHrMPheP4hTaW9rqsRpvvawkTCOeqIqHTSaIzd/PnztV0HEZFWvI5Kw0+HwhEWp7pedZvqJhjb2gb6Yl7YRUSll8YXT8jlcly6dAmvX79GbGys2pWyIpEI3377baELJCLKrwdvUjHHPwIJqapz1PWrb4EBDS14tT4RlXoaBbugoCCMGzcO79+/z3HqEwY7IvqYAp8m4bfjkUjL1FGnJwLGtLJG+xpmuiuMiOgj0ijYzZ49GykpKVi1ahV8fHyU68USEenC4TvxWHc+Bpm/ZhrqizDd1xb1KhvrrC4ioo9No2D3+PFjTJw4Ea1atdJ2PURE+aYQBPx5KRZ+t+JV2q2M9TCrmz3cHSU6qoyISDc0CnblypXLc/UJIqKilCYTsORkJC48SVZpr2Cljznd7VHeslBLYRMRlUgaXfM/fPhw7NmzBwkJCdquh4goT/EpCvx4MFwt1FUrL8GiPg4MdURUZmn07peYmAhTU1O0bdsWnTp1Qrly5SAWq072KRKJMGTIEG3USESk9CFOhp8OheNVlEylvVEVY0xubwMjA85RR0Rll0jQ4JxqtWrV8j6wSITg4GCNiipKcrkcd+7cgbe3t1oYJaLi7UW4FD8dCkdUoup0Jp1rmWFECyuI9TidCRGVPgXJLhr12J0+fVqjwoiINHX7VQp++TsCyVLV76JfNbFEr0/NOUcdERE0DHZOTk7aroOIKEdnghOx7FQU5Jk66vT1gIltbfBZNVPdFUZEVMxwhDERFVuCIGDP9XhsvRyr0m4iEeGHznaoXdFIR5URERVP+Q52o0aNKtCBRSIRVq9eXeCCiIgAQK4QsOZcNI4GJaq025qJMaebHSrZcY46IqKs8h3snjx5UqADc7wLEWkqJU2BX49F4tq/KSrtrrYGmNPNDnbmPNlARJSdfL87njlzpijrICICAMQkyTH7cASehElV2ms5G+KHznYwNeR0JkREOeHXXiIqNt7GpGHmwQi8i1Wdo+4zTxNMaGsDAzHPBBAR5YbBjoiKhUfvUzH7cATiklXnqOvtY47BjS2hx+EdRER5YrAjIp278iIZC49FIlX23xx1IgCjPrNC59rmuiuMiKiEYbAjIp06ei8Bq89FQ5Fp3mGJWISpHW3QqIqJ7gojIiqBGOyISCcEQcDWf2Kx50a8SruFkR5mdrVD9fKGOqqMiKjkYrAjoo8uTS7g91NROPMoSaXd0UKMn7vbw8naQEeVERGVbIUKdlKpFA8ePEBkZCTq1q0LGxsbbdVFRKVUYqoCv/wdgbuvU1Xa3R0M8FNXe1ib5r7ANRER5UzjCaG2bt2Kpk2bon///hg7diweP34MAIiKikKDBg2wb98+rRVJRKVDRIIM3+/7oBbq6lUywoLPHRjqiIgKSaNgt3//fsybNw/NmjXDL7/8AkH4b9SzjY0NGjZsiKNHj2qtSCIq+UIi0zB59wf8G5Gm0t6+hil+7GIHIwNOPExEVFganYrdtGkTWrdujcWLFyM6Olptu5eXF7Zt21bo4oiodLgXmoK5/hFIlAoq7YMaWaBvPQsuQUhEpCUafUUOCQlB8+bNc9xuZWWFmJgYTWsiolLk/OMk/HgwXCXUifWACW1t8EV9S4Y6IiIt0qjHzsLCItueugzPnj2Dvb29xkURUcknCAL8bsdj48VYlXZjAxFmdLJDXVcjHVVGRFR6adRj17x5c+zZswdxcXFq254+fYq9e/eiVatWhS6OiEomuULAugsxaqHO2kQPv37uwFBHRFRENOqxmzBhAvr06YPOnTujZcuWEIlEOHjwIPbv348TJ07A3t4eo0eP1natRFQCpMoUWBQQhX+eJ6u0V7TRx5xu9nCw4PSZRERFRaMeO0dHRxw4cADNmjXDsWPHIAgCDh06hLNnz6JTp07Ys2cP57QjKoPikuX44UC4WqjzqmCI33o7MNQRERUxkZB5rhINRUVFQaFQwMbGBnp6mk9ZcP36dWzcuBH3799HeHg4Vq1ahTZt2ii3T5s2DX5+fir3adq0KTZu3JjvnyGXy3Hnzh14e3tDLOacWUTa8j5Whp8OhSM0WqbS3qSqMSa3t4VEnxdJEBFpoiDZRStfn7XVO5eUlARPT0/06tULY8aMyXafZs2aYf78+crbEolEKz+biDT3NEyKWYfDEZOkUGnvXscMQ5tZQY9XvhIRfRQaBbuVK1fmul0kEsHQ0BDlypVDvXr14OjomK/jtmjRAi1atMh1H4lEwituiYqRGy+TMf9oJFLS/uv8FwEY2swKPeqa664wIqIySONglzH3VNYzuVnbxWIxevfujZkzZxbqNG2Ga9euoVGjRrCwsEDDhg0xYcIEWFtbF/q4RFRwx+8nYOWZaCgyvQ0YiIHv2tuimbuJ7gojIiqjNAp258+fx8iRI1G9enUMGjQILi4uANInLt6+fTseP36MpUuXIikpCVu2bMHu3bvh4OBQ6CtlmzVrhrZt28LZ2RmvX7/GkiVLMHz4cOzevbvA4+XkcnmhaiEqywRBwM5r8dh1PUGl3cxQhP91soFXBUO+xoiItKQg76caXTwxevRoGBkZYcmSJdlunzhxIuRyOX7//XcAwPDhw/Hq1SscP3483z/D09NT7eKJrF6/fo02bdpg8+bNaNSoUb6OmzEAkYg0I1cA/s/NcSvMWKXd0lCOwV4xsDdhoCMiKgpFdvHElStXMGXKlBy316tXD4sXL1bebtGiBX799VdNflSuKlasCGtra4SEhOQ72GWoWbMmr4olKqBkqQK/BkTjVliqSntlO33M7OwIW7OKOqqMiKj0ksvlCAoKyte+GgU7iUSCe/fuoV+/ftluv3v3LgwMDJS3ZTIZTEy0P97m/fv3iImJ0ehiCrFYzGBHVABRiXLMOhyJ5x/SVNrruhhheidbmEgKP4aWiIgKR6Ng17lzZ/z111+wsrJCv3794OzsDAAIDQ3Fjh07cPjwYQwYMEC5/9WrV1G1atU8j5uYmIhXr14pb4eGhiI4OBiWlpawtLTEypUr0b59e9jZ2eH169f47bff4OrqimbNmmnyMIgon0Kj0zDzYDjC4lRPs7auboJxrW2gL+Z0JkRExYFGwW7KlCmIiIjApk2bsHnzZuXVrgqFAoIgoF27dspTtampqfDy8kLdunXzPO79+/cxePBg5e2M+ep69OiBWbNm4cmTJzh48CDi4+Ph4OCAJk2aYPz48ZzLjqgIPXybijn+EYhPUZ2j7ov6FhjY0EJ5JTwREeleoVaeePjwIS5evIg3b94AAJycnNC0aVN4eXlprUBt48oTRPkX+CwJvwVEIi1TR52eCPi2lTU61DDTXWFERGXIR1t54pNPPsEnn3xSmEMQUTEgCAIev5fiyotkJKQoYGakhzS5gIO3VaczMdQXYZqvLepXNs7hSEREpEtckZuojAuJTMPSE5F4muWiiKwsjfUwq6sdPMoZfqTKiIiooDQOdufPn8fmzZvx8OFDxMfHq61AAQDBwcGFKo6IilZIZBqm7A1DYmruIzLszcWY39MB5a34XZCIqDjT6F36+PHjmDBhAqpWrQpfX1/s3LkTnTt3hiAIOHPmDFxdXXOdWJiIdCc0Og3rzsfgdVQaohLlkCnyvk90ohyrz0VhRAtrOFsb5H0HIiLSCY0mnlq7di1q1aqFgwcPYuzYsQCAXr16YfHixfD390d4eLhyChQiKl5+9AvHzZAUfIjPX6gDAJkCuBmSipkHw4u2OCIiKhSNgt3z58/h6+sLsVgMff30Tj+ZTAYAcHZ2Rr9+/bB+/XrtVUlEWvMhXvMlv7LOY0dERMWLRsHOyMhIubKEhYUFJBIJwsP/+yZvZ2eH0NBQ7VRIRFrlYK75ND+OFpwiiIioONMo2FWuXBnPnz9X3q5evToOHToEmUyG1NRUHDlyBOXLl9dakUSkPdM72cLOrOABrZyFGHO6F3z5PiIi+ng0CnZt27bF6dOnIZVKAQCjRo3CtWvXUK9ePTRs2BA3btzAiBEjtFooERXe1RfJmOsfiYiEgp9SndLRlhdOEBEVc4VaeSKzGzdu4MSJExCLxWjRogUaNmyojcNqHVeeoLIoNlmOtedicP5Jkkb393CUYElfBy4fRkSkA0W68oRUKsXFixfh5OSEatWqKdt9fHzg4+NT8GqJqMgIgoCLT5Ox5lw0YpNVL4EVAWjhaYzr/6YgUZrz9ztTQxEmtLVhqCMiKgEKfCrWwMAA48ePx+3bt4uiHiLSkqhEOeYeicSvxyLVQp2ztT4W9nbAlA52+K2PI9wdsj/F6uEowW+9HeFqy1OwREQlQYF77EQiESpVqoTo6OiiqIeICkkQBJx6mIj1F2PUVpTQEwG9PjVH/waWkOin98C52hpg6ReOeBwmxZXn/60V27CKMTwdJeypIyIqQTRaeWLkyJFYsGABOnToADc3N23XREQa+hAnw4rT0bj1KkVtW2U7A4xvYwN3R4naNpFIhGrlDFGN68ASEZVoGgW7u3fvwsrKCl26dEH9+vXh5OQEIyMjtf1++OGHQhdIRHlTCAKO3kvA5sBYJKep9tLp6wFf1LfA5z4WMBCz942IqDTTKNht375d+e/Lly9nu49IJGKwI/oI3kSnYfmpaDx4m6q2zcNRgvFtrFHJTr2XjoiISh+Ngt2jR4+0XQcRFZBcIeDg7XhsvxwHqVy1l04iFmFgIwt0r2MOsR576YiIygqNgh0R6dbLCCmWn4rGkzCp2javCoYY38YaTpxMmIiozClUsLtz5w6uXr2KyMhI9O/fH5UqVUJycjJevHiBSpUqwdTUVFt1EhGANLmAvTfisPtaHGSqM5jA2ECEIU0s4VvLDHq8kpWIqEzSKNhJpVJMmjQJp0+fhiAIEIlEaNmyJSpVqgQ9PT18/fXXGDJkCL755htt10tUZj0Nk2L5qSj8G5Gmtq2uixHGtraGgwU74YmIyjKN1opdvnw5zp07h1mzZiEgIACZVyUzNDREhw4dcPr0aa0VSVSWSWUCNl2KwaTdYWqhLmNViDnd7RjqiIhIsx67v//+G1988QX69u2b7UTFVapUQUBAQKGLIyrrHr5NxfJTUQiNlqlta1TFGKNbWsPGlGseExFROo2CXWRkJDw9PXPcLhaLkZKiPkEqEeVPslSBrZdj4X8nAVlXcbU01sM3n1mjqbsxV4UgIiIVGgW78uXL48WLFzluv3XrFlxcXDQuiqgsu/0qBStORyEsTq627TNPE4xoYQVLY/bSERGROo2CXefOnbFp0ya0a9cOlSpVAgBlz8GePXtw7NgxfPfdd1orkqgsSExVYOPFGBx/kKi2zdZUjG9bWaOBm7EOKiMiopJCo2A3atQo3L17FwMHDoSbmxtEIhHmz5+P2NhYvH//Hi1atMCQIUO0XCpR6XX1RTJWnYlGZKJ6L117L1N83cwKZoYaXetERERliEbBTiKRYMOGDTh8+DCOHz8OhUIBqVQKT09PTJgwAd26dePYH6J8iE2WY935GJx7nKS2zdFCjLGtbVDHRX0dZiIiouxoPD+CSCRCt27d0K1bN23WQ1QmCIKAS0+TsfpcNGKTVWcaFgHoXNsMXza2hLGEvXRERJR/GgW7hQsXonPnzvjkk0+0XQ9RqReVKMcfZ6Nx+Xmy2jYnK31MaGuDTyoY6qAyIiIq6TQKdtu3b8emTZtQsWJF+Pr6omPHjrlOf0JE6b10p4KTsP5CNBJTVScx0RMBPeuao39DCxjqs5eOiIg0o1Gw++eff3Dq1CkcPXoUGzZswNq1a+Hm5qYMeW5ubtquk6hE+xAnw4oz0bgVoj6/Y2U7A4xvYwN3R4kOKiMiotJEJGReD0wDcXFxOH78OAICAnD16lXI5XJ4eHigU6dOGDFihLbq1Bq5XI47d+7A29sbYjHnAqOipRAEHL2XgM2BsUhOU32p6esBfetboLePBQzEvNiIiIiyV5DsUuhgl1l0dDQOHTqEFStWICkpCcHBwdo6tNYw2NHH8iY6Db+fjsb9N6lq2zwcJRjfxhqV7NhLR0REuStIdtHKquFpaWm4cOECjh49irNnzyIpKQnly5fXxqGJShy5QsDB2/HYfjkOUrnq9yaJWISBjSzQvY45xHrspSMiIu3SONjJZDIEBgbi6NGjOH36NBISEmBvb4+ePXvC19cXdevW1WadRCVCSGQalp2MwpMwqdo2rwqGGN/GGk7WBjqojIiIygKNgt2MGTNw+vRpxMbGwtraGp06dUKnTp1Qr149TkxMZVKaXMDeG3HYfS0OMtVp6WBsIMKQJpbwrWUGPb4+iIioCGkU7E6fPo02bdrA19cXDRs2zPZ8b2xsLCwtLQtdIFFx9zRMiuWnovBvRJratrouRhjb2hoOFloZ9UBERJQrjT5tAgMDoa+vflepVIrTp0/D398fFy9eRFBQUKELJCqupDIBO67GYv/NeCiyXIJkaijC8GZWaPOJKXuxiYjoo9Eo2GUOdYIg4PLly/D398fJkyeRkJAAGxsbdO7cWWtFEhU3D9+mYvmpKIRGy9S2NXQzxretrGFjyquuiYjo49L4/ND9+/fh7++Pv//+GxERERCJRPD19cXAgQPh7e3NXgoqlVLSFNjyTyz87yQg6zxBlsZ6GPWZNZq5G/P5T0REOlGgYPf69WscPnwY/v7+CAkJgaOjI7p06YJatWph4sSJaN++PerUqVNUtRLp1J1XKfj9dBTC4uRq2z7zNMGIFlawNGYvHRER6U6+g13fvn1x7949WFtbo3379pg7dy58fHwAAK9evSqyAol0LTFVgY0XY3D8QaLaNltTMb5tZY0GbsY6qIyIiEhVvoPd3bt34ezsjGnTpuGzzz7L9uIJotLm2otkrDwbjcgE9V669l6m+LqZFcwM9XRQGRERkbp8p7Mff/wRR44cwZgxY2BpaYn27dvD19cXDRo0KMr6iHQiNlmOdedjcO5xkto2Rwsxxra2QR0XIx1URkRElLN8B7sBAwZgwIABeP36Nfz9/XHkyBHs2bMHdnZ2aNCgAUQiEQeMU4knCAIuPU3G6nPRiE1WnWlYBKBzbTN82dgSxhL20hERUfEjEgQh68V9+ZZxZezRo0cRHh4OOzs7tGzZEq1atULjxo1haGiozVq1oiAL6VLZEpUoxx9no3H5ebLaNicrfUxoa4NPKhS/5zQREZVuBckuhQp2GRQKBa5cuYLDhw/j5MmTSExMhLGxMW7fvl3YQ2sdgx1lJQgCTgUnYf2FaCSmqr4c9ERAz7rm6N/QAob67KUjIqKPryDZRStXQOjp6aFx48Zo3LgxZs+erVx9gqi4+xAnw4oz0bgVkqK2rbKdAca3sYG7o0QHlRERERWc1i9tNTQ0hK+vL3x9fbV9aCKtUQgCjgUlYtOlGCSnqfbS6esBfetboLePBQzEHDdKREQlB+csoTLnbUwalp+Kxv03qWrbPBwlGN/GGpXs2EtHREQlD4MdlRlyhYBDd+Kx/XIcUmWqvXQSsQgDG1mgex1ziPXYS0dERCUTgx2VCSGRaVh2MgpPwqRq27wqGGJ8G2s4WRvooDIiIiLtYbCjUkEQBDx+L8WVF8lISFHAzEgPDd2MUcXeAPtuxmPXtTjIVKelg7GBCEOaWMK3lhn0OAcjERGVAgx2VOKFRKZh6YlIPP2QptK+90Y8JPoiSGXqM/rUdTHC2NbWcLDgS4CIiEoPfqpRiRYSmYYpe8PU5p/LkDXUmRqKMLyZFdp8YsqVUoiIqNRhsKMSJzQ6DevOx+B1VBqiEuVqp1hzYmmsh/91soOXE1ePICKi0olT6VOJ86NfOG6GpOBDfP5DHQDEJiuw+ERk0RVGRESkYwx2VOJ8iJdrfN+wOM3vS0REVNwx2FGJ42Cu+Rq/jhZcH5iIiEovBjsqcX7uYY/q5SUo6KUP5SzEmNPdvkhqIiIiKg4Y7KhEkckFXHichCdhUmR/HWzOpnS0hTMnISYiolKsWAW769evY9SoUWjatCk8PT1x6tQple2CIGD58uVo2rQpatWqhSFDhuDly5e6KZY+upcRUkzaE4a/rsZBXoCLJoD0NWA9Hbn+KxERlW7FKtglJSXB09MTP/30U7bb169fj23btmHWrFnYs2cPjI2NMXToUKSmqi/mTqWHXCFgz/U4jN8VhudZJiE2NRTBSD/3k7KmhiJMaGvDeeuIiKjUK1bz2LVo0QItWrTIdpsgCNi6dSu++eYbtGnTBgCwcOFCNG7cGKdOnUKnTp0+Zqn0kYRGp2HJiSg8fq++xmvjKsb4tpU1YpMV2a48AaT31E1oawNXW56CJSKi0q9YBbvchIaGIjw8HI0bN1a2mZubo3bt2rh9+3aBg51czmkvijOFIMD/biK2XY6DNMufytRQhJHNLdHCwxgiEWBuqIdFve3wJCwNV16kIDFVAVNDPTR0M4KHowFEIhH/3kREVGIV5DOsxAS78PBwAICtra1Ku62tLSIiIgp8vKCgIK3URdoXlaIHvycWCIlTHxPnbp2KblXjYZEchrt31e9b2wSASfq/k98Dd98Xba1ERETFSYkJdtpWs2ZNiMWc06w4EQQBAQ+SsOluHFLSVK95NTYQYVgzS7SpbsyxckREVKbI5fJ8d0iVmGBnb58+/1hkZCQcHByU7ZGRkahWrVqBjycWixnsipHweBl+PxWNW69S1LbVrmiICW1s4GBRYp6uREREOlFiPimdnZ1hb2+Py5cvo3r16gCAhIQE3L17F/369dNxdaQpQRBwKjgJ685HI0mq2ktnqC/C100t4VvLDHrspSMiIspTsQp2iYmJePXqlfJ2aGgogoODYWlpiQoVKmDw4MFYvXo1XF1d4ezsjOXLl8PBwUF5lSyVLFGJcqw4HYVr/6r30nlVSL+atYIVr2YlIiLKr2IV7O7fv4/Bgwcrb8+fPx8A0KNHDyxYsADDhw9HcnIyZs6cibi4OHz66afYsGEDDA0NdVUyaUAQBFx4kozV56IRn6I607CBGPiysRW6eptBrMdeOiIiooIQCYJQ0JWZSjS5XI47d+7A29ubY+x0IDZJjlVnoxH4LFltm4ejBBPb2cDFhr10REREGQqSXYpVjx2VbpefJ2Hl6WjEJKv20unrAf0bWOJzH3P20hERERUCgx0VufgUBdaej8bZR0lq29zsDTCprQ0q23MdVyIiosJisKMideNlMn4/FY3IRNVZs/VEQJ96FviivgUMxOylIyIi0gYGOyoSSakKbLgYg+MPEtW2VbTRx3ftbOHuyF46IiIibWKwI627+zoFS09GITxetZdOBKDnp+YY2NASEn320hEREWkbgx1pTUqaApsCY3HkboLatgqW+pjYzgafVODUNEREREWFwY604uHbVCw9EYW3sTK1bV1qm2FIE0sYGejpoDIiIqKyg8GOCkUqE7Dtciz8bsUj64SIDuZiTGhrg9oVjXRSGxERUVnDYEcae/I+FUtORuF1lHovXfsaphjW1AomhuylIyIi+lgY7KjA0uQCdl2Lw57rcVBk6aazNRNjXGtr+FQy1k1xREREZRiDHRXIi3AplpyIwr8RaWrbWlUzwYgW1jA3Yi8dERGRLjDYUb7IFQL23ojHzquxkKmuCAYrYz2MaW2DRlXYS0dERKRLDHaUp1dRaVh6IgpPwqRq25q6G2N0S2tYGue+KDEREREVPQY7ypFcIeDQnXhs/ScWaapzDcPcSA+jW1qjuYeJboojIiIiNQx2lK23Mem9dA/fqffS1a9shLGtbWBjyl46IiKi4oTBjlQoBAFH7yXgz0uxSJWpXvJqKhFhRAtrtK5uApGIS4IREREVNwx2pPQhToZlJ6NwNzRVbVtdFyOMb2MNO3M+ZYiIiIorfkoTBEHAiQeJWH8xBslS1V46IwMRhjWzQocapuylIyIiKuYY7Mq4yAQ5fj8VhRshKWrbajoZYnxbG5S35NOEiIioJOAndhklCALOPk7CmnPRSExV7aWTiEUY0sQSXbzNoMdeOiIiohKDwa4MikmSY+WZaFx+nqy2rVo5CSa2s4GztYEOKiMiIqLCYLArYy49TcKqs9GIS1ZdPkJfDAxsaImedc0h1mMvHRERUUnEYFdGxCXLseZcDM4/SVLbVsXBAJPa2qCSnUQHlREREZG2MNiVAddeJOP301GITlLtpRPrAV/Ut0AfHwvoi9lLR0REVNIx2JViiakKrDsfjVPB6r10rrYGmNTOBlUd2EtHRERUWjDYlVK3Q1Kw/FQUwhNUF3nVEwG9PjXHgAaWMNBnLx0REVFpwmBXyiRLFfjzUgyOBiWqbXOy0sekdjaoVt5QB5URERFRUWOwK0Xuv0nB0pNReB+r2ksnAtDV2wyDG1vCyEBPN8URERFRkWOwKwVSZQps/ScWh24nQMiyzdFCjEntbFDDyUgntREREdHHw2BXwj16n4qlJ6IQGi1T2+Zb0xRfN7WCsYS9dERERGUBg10JlSYT8NfVWOy/GQ9Flm46OzMxJrSxQR1X9tIRERGVJQx2JdCzD1IsORGFkMg0tW1tPzHF8OZWMDVkLx0REVFZw2BXgsjkAvZcj8Ou63GQq841DGsTPYxrbYP6bsa6KY6IiIh0jsGuhAiJTMPiE5F4/kG9l66FhwlGfWYFC2OxDiojIiKi4oLBrpgQBAGP30tx5UUyElIUMDPSQ0M3Y1R1MIDf7QRsvxILmeosJrAw1sO3La3R1N1EN0UTERFRscJgVwyERKZh6YlIPM3SG7f3RjyM9EVIkWWdxARoVMUY37a0hrUpe+mIiIgoHYOdjoVEpmHK3jAkpqqHNwBqoc7UUIRRn1mjpacJRCIuCUZERET/YbDTgdDoNKw7H4PXUWmISpRDpsj7PgBgYSTCjE52qOnMaUyIiIhIHefE0IEf/cJxMyQFH+LzH+oAIC5FwNKTUUVXGBEREZVoDHY68CFenvdOOQiL0/y+REREVLox2OmAg7nmFzw4WvBiCSIiIsoeg50O/NzDHj6uRjCRFOzih3IWYszpbl9EVREREVFJx2CnA87WBpjd3R4/FzCkTeloC2drgyKqioiIiEo6Bjsd8iwngbtD/oKah6MEno6SIq6IiIiISjIGOx0SiUSY2M4Wpoa5n5I1NRRhQlsbzltHREREuWKw0zFXWwP81tsxx547D0cJfuvtCFdbnoIlIiKi3HGC4mLA1dYAS79wxOMwKa48z7RWbBVjeDpK2FNHRERE+cJgV0yIRCJUK2eIauUMdV0KERERlVA8FUtERERUSjDYEREREZUSDHZEREREpQSDHREREVEpwWBHREREVEow2BERERGVEgx2RERERKUEgx0RERFRKcFgR0RERFRKlLmVJwRBAADI5XIdV0JERESUt4zMkpFhclPmgp1CoQAABAUF6bgSIiIiovzLyDC5EQn5iX+liEKhgEwmg56eHkQika7LISIiIsqVIAhQKBTQ19eHnl7uo+jKXLAjIiIiKq148QQRERFRKcFgR0RERFRKMNgRERERlRIMdkRERESlBIMdERERUSnBYEdERERUSjDYEREREZUSZW7lieLs9u3b6N+/P5o1a4Z169bpupwSY9q0afDz81PetrKyQo0aNTBlyhRUq1ZNh5WVHOHh4VizZg3OnTuHsLAw2Nraonr16vjyyy/RqFEjXZdXbGV+7unr68PS0hKenp7o1KkTevbsmedEoqT++s3QtGlTbNy4UQcVlTw5/Q5PnDgBV1dXHVRUcoSHh2Pt2rU4f/483r9/D3Nzc7i4uKBr167o0aMHjI2NdV1igTHYFSP79u3DwIEDsW/fPoSFhcHR0VHXJZUYzZo1w/z58wEAERERWLZsGUaNGoVz587ptrASIDQ0FP369YOFhQWmTp0KDw8PyGQyXLp0CbNnz0ZAQICuSyzWMp57CoUCERERuHjxIn755RccP34cq1evhr4+32bzkvn1m0EikeiompIpu9+hjY2NjqopGV6/fo1+/frB3NwcEydOhKenJyQSCR4/fow9e/bA0dERrVu31nWZBcZ3nGIiMTERR48exf79+xEREQE/Pz+MGjVK12WVGBKJBPb29gAAe3t7DB8+HAMGDEBUVBTf3PIwe/ZsiEQi7N27FyYmJsp2d3d39OrVS4eVlQyZn3uOjo7w8vJC7dq1MWTIEPj5+aF37946rrD4y/w7JM3wd1hws2bNglgsxv79+1Xe+ypWrIg2bdqgpC7MxfMExcSxY8fg5uYGNzc3dO3aFfv37y+xTypdS0xMxOHDh+Hq6gorKytdl1OsxcTE4OLFixgwYIDKG1sGCwsLHVRV8jVq1AjVqlXDiRMndF0KEWUjOjoagYGBOb73ASix68mzx66Y2LdvH7p27QogvUs9Pj4e165dQ4MGDXRcWclw7tw51KlTBwCQlJQEe3t7rF27lmOc8vDq1SsIggA3Nzddl1LquLm54fHjx7ouo0TI/PrNMHLkSJ61KICsv8NmzZrh999/12FFxVvGe1/lypVV2hs0aACpVAoA6N+/P6ZMmaKL8gqFwa4YePHiBYKCgrBq1SoA6YOwfX19sW/fPga7fGrQoAFmzZoFAIiNjcXOnTsxfPhw7N27F05OTrotrhhjr3DREQShxH7j/9gyv34zWFpa6qaYEirr77AkDvovDvbt2weFQoHJkycrA15Jw2BXDOzbtw8ymQzNmjVTtgmCAIlEgpkzZ8Lc3FyH1ZUMxsbGKld/eXl5wcfHB3v27MHEiRN1WFnx5urqCpFIhBcvXui6lFLn+fPncHZ21nUZJULW1y8VHH+HBePi4gKRSIR///1Xpb1ixYoAACMjI12UpRU8T6VjMpkMhw4dwrRp03Dw4EHlf4cOHYKDgwOOHDmi6xJLJJFIBJFIhNTUVF2XUqxZWVmhadOm+Ouvv5CUlKS2PS4uTgdVlXyXL1/GkydP0K5dO12XQkTZsLa2RpMmTbB9+/Zs3/tKMvbY6di5c+cQGxuLzz//XK1nrl27dti3bx/69euno+pKDqlUivDwcADpYSTjxdqyZUsdV1b8/fTTT+jXrx969+6NcePGwdPTE3K5HIGBgdi5cyeOHTum6xKLtYznXubpTtauXYuWLVuie/fuui6vRMj8+s0gFot5RTsVqYz3vl69emHs2LHw9PSESCRCUFAQXrx4AS8vL12XqBEGOx3bt28fGjdunO3p1vbt22PDhg149OgRJ9rNw8WLF9G0aVMAgKmpKdzc3LB8+XKOUcyHihUr4sCBA1izZg1+/fVXfPjwATY2NvDy8lIb90TqMp57+vr6sLCwQLVq1fDDDz+gR48evHgnnzK/fjNUrlyZcyhSkXJxcYGfnx/Wrl2LxYsXIywsDAYGBqhatSq+/vpr9O/fX9clakQkcPQ0ERERUanAr5NEREREpQSDHREREVEpwWBHREREVEow2BERERGVEgx2RERERKUEgx0RERFRKcFgR0RERFRKMNgRERERlRIMdkSUq2nTpqFVq1ZaP+6sWbPw1Vdfaf24xd2GDRvQunVrVK9eHd26ddN1OaVWq1atMG3atALdZ9q0aahTp06e+w0aNAiDBg3StDSNTZw4EePHj//oP5dKFi4pRqXagQMHMH36dOzbtw81a9bUdTkF8vr1a2zatAmBgYF4//49AMDJyQkNGjRA3759S/Qyc69fv8a+ffuwYcOGbLc/f/4cvr6+kEgkCAwMhIWFxUeuMN3jx4+xatUqBAUFISIiAlZWVqhatSpatWql0Qf7pUuX8Ntvv6Fr164YO3YsrK2ttV7zmjVrULVqVbRp06bQxzpz5gz27NmDe/fuIS4uDiYmJnB3d0fr1q3Rp08fmJmZaaHi/FmxYgVWrlypvK2vrw9HR0e0atUK48aN09lzRNvCwsKwZ88etGnTBtWrV1fZNnz4cPTq1YvLTFKuGOyIiqGzZ89i4sSJEIvF6NKlC6pVqwY9PT28ePECJ06cwM6dO3H69Gk4OTnpulSNbN26FU5OTmjYsGG22w8fPgx7e3vExsbi+PHj6N2790euELh16xYGDx6MChUqoHfv3rC3t8e7d+9w9+5dbN26VaNgd+XKFejp6eGXX36BRCIpgqqBtWvXon379oUKdgqFAv/73/9w4MABeHh4oH///ihXrhwSExNx584dLFu2DOfPn8eWLVu0WHn+zJo1CyYmJkhOTsbly5exbds2PHjwADt37lTZLyAgACKRqEhq2LhxY5EcFwA+fPiAlStXwsnJSS3YffLJJ6hRowb+/PNPLFy4sMhqoJKNwY6omHn16hUmTZqEChUqYPPmzXBwcFDZPnnyZOzYsSPPBeaTkpJgYmJSlKVqJC0tDf7+/vjiiy+y3S4IAvz9/dG5c2eEhobi8OHDOgl2a9asgbm5Ofbt26fWGxQZGanRMSMjI2FkZFRkoU5bNmzYgAMHDmDIkCGYNm2aSkD68ssv8eHDBxw8eFAntbVv3x42NjYAgC+++AITJ07E0aNHce/ePdSqVUu5X1H+jnX59+vYsSNWrFiBxMREmJqa6qwOKr44xo4IwMOHDzFs2DDUrVsXderUwZdffok7d+6o7BMTE4Nff/0VXbp0QZ06dVC3bl0MGzYMjx49Utnv6tWr8PT0xNGjR7F69Wo0b94cNWvWxJdffomQkJA8a9mwYQOSkpIwf/58tVAHpJ+CGjx4MMqXL69syxgb9OrVKwwfPhx16tTB5MmTAQA3btzAuHHj8Nlnn6FGjRpo0aIF5s2bh5SUFLVjnzp1Cp07d0bNmjXRuXNnnDx5MtsaFQoFNm/ejE6dOqFmzZpo3LgxZs6cidjY2Dwf382bNxEdHY3GjRvnuP3Nmzfw9fWFr68vbty4oTwV/TG9evUKVatWzfYUn62trcrt/fv3Y/DgwWjUqBFq1KgBX19f7NixQ2UfT09PHDhwAElJSfD09FTeznDo0CH07NkTtWrVQv369TFx4kS8e/dO5RgvX77E2LFj0aRJE9SsWRPNmzfHxIkTER8fr/wZSUlJ8PPzU/6Mgo4zS05Oxvr16+Hu7o6pU6dm2+vl4OCAESNGFOi4RcXHxwdA+t8rs6xj7NLS0rBy5Uq0a9cONWvWRIMGDdCvXz8EBgbmevzg4GA0bNgQgwYNQmJiIoDsx9hJpVL8/vvvaNu2rfJ1tnDhQkilUpX9AgMD0a9fP/j4+KBOnTpo3749lixZAiD9vePzzz8HAEyfPj3b50njxo2RlJSEf/75pyC/JipD2GNHZd7Tp08xYMAAmJqaYtiwYdDX18fu3bsxaNAgbN++HbVr1waQPi7s1KlT6NChA5ydnREREYHdu3dj4MCB+Pvvv+Ho6Khy3PXr10MkEuHrr79GQkICNmzYgMmTJ2Pv3r251nP27Fm4uroqf25+yWQyDB06FJ9++im+//57GBkZAUg/JZWSkoJ+/frBysoK9+7dw/bt2/H+/Xv8/vvvyvtfunQJY8eORdWqVfHdd98hOjoa06dPR7ly5dR+1syZM+Hn54eePXti0KBBCA0NxV9//YWHDx9i586dMDAwyLHO27dvQyQS4ZNPPsl2u7+/P1xcXFCrVi14eHjAyMgIR44cwbBhw/L8HUilUiQkJOS5HwBlr09OnJyccPv2bTx58gQeHh657rtz5064u7ujVatW0NfXx9mzZzF79mwIgoABAwYAABYuXKgcrzZ37lwAQN26dQEAq1evxvLly9GxY0d8/vnniIqKwvbt2zFgwAAcPHgQFhYWkEqlGDp0KKRSKQYOHAg7OzuEhYXh3LlziIuLg7m5ORYuXIgffvgBtWrVQp8+fQAALi4u+fp9ZLh58ybi4uLw9ddfQywWF+i+WSUnJyM5OTnP/cRiMSwtLTX6GaGhoQCQ5xi7lStXYu3atejduzdq1aqFhIQE3L9/Hw8ePECTJk2yvc+9e/cwbNgw1KhRA3/88YfyNZWVQqHAN998g5s3b6JPnz6oUqUKnjx5gi1btuDly5f4448/AKS/14wcORKenp4YN24cJBIJQkJCcOvWLQBAlSpVMG7cOPz+++/o27cvPv30UwD/PU8AoGrVqjAyMsKtW7fQtm3bgv2yqGwQiEqx/fv3Cx4eHsK9e/dy3Gf06NGCl5eX8OrVK2VbWFiYUKdOHWHAgAHKttTUVEEul6vc9/Xr10KNGjWElStXKtuuXLkieHh4CB07dhRSU1OV7Vu2bBE8PDyEx48f51hLfHy84OHhIYwePVptW2xsrBAZGan8Lzk5Wbnt+++/Fzw8PIRFixap3S/zfhnWrl0reHp6Cm/evFG2devWTWjSpIkQFxenbLt06ZLg4eEhtGzZUtl2/fp1wcPDQzh8+LDKMS9cuJBte1aTJ08W6tevn+02qVQq1K9fX1iyZImybdKkSULXrl1zPWaGjL93fv7Ly6VLl4Tq1asL1atXF/r27SssXLhQuHjxoiCVStX2ze53/PXXXwutW7dWafv+++8Fb29vlbbQ0FChevXqwurVq1XaHz9+LHzyySfK9ocPHwoeHh7CsWPHcq3b29tb+P777/N8fDnJeJ6ePHlSpV0mk6k8/yIjIwWFQpHrsX7//fd8/S0yP7/yOtaLFy+EyMhIITQ0VNi3b59Qq1YtoWHDhkJSUpLK/i1btlT5PXTt2lUYMWJErj8j89/nxo0bQt26dYURI0aovI4FQRAGDhwoDBw4UHn74MGDQrVq1YTr16+r7Ldz507Bw8NDuHnzpiAIgrBp0ybBw8NDiIyMzLGGe/fuCR4eHsL+/ftz3Kddu3bCsGHDcn0sVHaxx47KNLlcjsDAQLRp0wYVK1ZUtjs4OKBz587Yu3cvEhISYGZmpjKuRi6XK68SrFy5Mh4+fKh27J49e6rcJ+OU0evXr3PsAcrobcpubNygQYNUTvtOnToVQ4cOVdmnX79+avfL3MuQlJSElJQU1KlTB4Ig4OHDh6hQoQI+fPiA4OBgjBgxAubm5sr9mzRpgqpVq6r0ugQEBMDc3BxNmjRBVFSUst3LywsmJia4evUqunTpku3jA9JPaefUO3PhwgXExMSgc+fOyrbOnTtj1KhRePr0Kdzd3XM8LgA0bdoUmzZtynWf/GrSpAl27dqFdevW4dKlS7h9+zY2bNgAGxsbzJ07F61bt1bum/l3HB8fj7S0NNSvXx+XLl1CfHy8yu80q5MnT0KhUKBjx44qv087Ozu4urri6tWrGDVqlPIK1EuXLqFFixYwNjbWyuPMKuM5mHX81pMnT9C9e3eVtsuXL+fa89m9e3dlr1NuDA0N811fhw4dVG57eHhg/vz5ef4+LCws8PTpU7x8+RKVKlXKdd8rV67gm2++QZMmTbBkyZI8x9QFBASgSpUqcHNzU/kbZlwcdPXqVdStW1fZq3j69Gn06tUrz3GyObG0tER0dLRG96XSj8GOyrSoqCgkJyejcuXKatuqVKkChUKBd+/ewd3dHQqFAlu3bsWOHTsQGhoKuVyu3NfKykrt/hUqVFC5nfGmHhcXl2M9GR+mSUlJatvmzJmDxMREREREYMqUKWrb9fX1sz1t+vbtW/z+++84c+aM2hi4jA/xt2/fAgBcXV3V7p81uIaEhCA+Ph6NGjXK9jHk58ICQRCybT98+DCcnZ2Vp6iA9FOJxsbG8Pf3x6RJk3I9roODQ7bjEjVVq1YtrFy5ElKpFI8ePcKpU6ewefNmjB8/HgcPHkTVqlUBpJ++XLFiBe7cuaN26jGvYPfy5UsIgoB27dplu11fP/1tumLFivjqq6+wadMm+Pv7w8fHB61atULXrl1zPX5BZTwHM8aTZXBxcVGG5oMHD+LQoUN5HqtixYoqX5i0YcWKFTAzM0NUVBS2bduG0NDQHE+RZjZu3DiMHj0a7du3h4eHB5o2bYpu3bqpTRuSmpqKkSNHwsvLC8uWLVP+/nMTEhKC58+f5/ma8PX1xd69e/HDDz9g8eLFaNSoEdq2bYsOHToUKOQJglBkV/xSycdgR5RPa9aswfLly9GrVy+MHz8elpaW0NPTw7x587INKjm9UecUagDA3Nwc9vb2ePr0qdq2jDF3GWOKspJIJGo/Uy6X46uvvkJsbCyGDRsGNzc3mJiYICwsDNOmTYNCocixlpwoFArY2tpi0aJF2W7Pa+yalZVVtuE2ISEBZ8+eRWpqarYh58iRI5g4cWKuH2gpKSnKCwnyYm9vn6/9gPTfba1atVCrVi1UqlQJ06dPR0BAAMaMGYNXr15hyJAhcHNzw7Rp01C+fHkYGBjg/Pnz2Lx5c56/Y4VCAZFIhPXr12c7pi1z7+20adPQo0cPnD59GoGBgZg7dy7Wrl2LPXv2ZBvqNeHm5gYgfTxY5ilTTE1NlRe83Lx5M1/HSkxMzPZLSlZisTjP500GHx8f5b4tW7ZEly5dMHnyZBw4cCDXcFSvXj2cPHlS+bvbt28ftmzZgtmzZ6tcdS2RSNC8eXOcOXMGFy9eRMuWLfOsSaFQwMPDA9OnT892e8bfxsjICH/99ReuXr2Kc+fO4eLFizh69Ch2796NP//8M99jGuPi4rL9EkYEMNhRGWdjYwNjY2P8+++/attevHgBPT095dWnx48fR4MGDTBv3jyV/eLi4rQ60exnn32GvXv3qk3foIknT57g5cuX+PXXX1VOo2W9EjCjdzG7q3az/m5cXFxw+fJl1K1bN189JVm5ubnB399frSfrxIkTSE1NxaxZs9R+n//++y+WLVuGmzdvKk9pZ+fo0aM5frhm9fjx4wLXDgA1atQAkD7fGJA+ia9UKsXq1atVemmvXr2ar+O5uLhAEAQ4Oztn23OcVcaVkqNHj8atW7fQr18/7Ny5ExMnTtTg0ajz8fGBubk5jh49ipEjR2p8uhAA/vzzT5VJhXPi5OSEM2fOFPj4pqamGDNmDKZPn45jx46hU6dOue5vZWWFXr16oVevXkhMTMTAgQOxYsUKlWAnEomwaNEijB49GuPHj8f69evRoEGDXI/r4uKCR48eoVGjRnn2pOnp6aFRo0Zo1KgRpk+fjjVr1mDp0qW4evUqGjdunOf9ZTIZ3r17VySrwVDpwGBHZZpYLEaTJk1w+vRphIaGwtnZGQAQERGBI0eO4NNPP1WObRKLxWq9bceOHUNYWJhWvz0PGzYMR44cwYwZM7B582bY2dmpbM+txy+rjA/lzPcRBAFbt25V2c/BwQHVq1eHn5+fyji7wMBAPHv2TGUi5I4dO2LHjh34448/1E6NymQyJCUl5XqFore3NwRBwP3791VOXR0+fBgVK1bMdpygVCrFunXrlKcgc6LNMXZXrlxBgwYN1D5oz58/D+C/nq2MXpbMv+P4+Hjs378/Xz+nXbt2WLJkCVauXIlFixap/DxBEBATEwNra2skJCTAyMhI5dSgh4cH9PT0VKbUMDExyfV0f16MjY0xbNgwLF26FIsWLcKUKVPUfgf5fQ4WxRi7rLp06YLly5dj/fr1uQa76OholS8MpqamcHFxUZtSBkjvtVu5ciWGDh2KUaNGYcuWLbl+yerYsSPOnz+PPXv2oG/fvirbUlJSoFAoYGJigpiYGLVhGxmTEGf8DTPGCub0N3z27BlSU1PztfQZlU0MdlQm7N+/HxcvXlRrHzx4MCZMmIB//vkH/fv3R//+/SEWi7F7925IpVKVsWyfffYZVq1ahenTp6NOnTp48uQJ/P39tT6GqFKlSli0aBG+++47dOjQQbnyhCAICA0NxZEjR6Cnp5evU29ubm5wcXHBr7/+irCwMJiZmeH48ePZfmhMmjQJI0eORP/+/dGrVy/ExMRg+/btcHd3VzmdVr9+ffTt2xdr165FcHAwmjRpAgMDA7x8+RIBAQH43//+pzbAPbNPP/0UVlZWuHz5sjLYhYWF4erVqzmu5iCRSNCsWTMEBATghx9+yHE6FW2OsZs7dy6Sk5PRtm1buLm5IS0tDbdu3cKxY8fg5OSEnj17AoDy8Y8aNQpffPEFEhMTsXfvXtja2iI8PDzPn+Pi4oIJEyZg8eLFePPmDdq0aQNTU1OEhobi1KlT6NOnD4YOHYorV65gzpw56NChAypVqgS5XI5Dhw5BLBajffv2yuN5eXnh8uXL2LRpExwcHODs7Kw8je/p6Yn69etj27ZtudY0YsQIPH/+HBs3bkRgYCDatWuHcuXKIS4uDg8ePEBAQABsbW3zDGRFMcYuKwMDAwwePBgLFy7EhQsX0Lx582z369SpE+rXrw8vLy9YWVkhKCgIx48fx8CBA7Pd38jICGvXrsXgwYMxfPhwbNu2LceLnrp164Zjx47hp59+Ul4oIZfL8eLFCwQEBGDDhg2oWbMmVq1ahRs3bqBFixZwcnJCZGQkduzYgXLlyikDsIuLCywsLLBr1y6YmprCxMQEtWrVUv4e//nnHxgbG+c4DyQRgx2VCVmXG8rQs2dPuLu746+//sLixYuxdu1aCIKAWrVq4bffflOZS27UqFFITk6Gv78/jh49ik8++QRr167F4sWLtV5vmzZt4O/vjz///BOBgYHYv38/RCIRKlSogBYtWqBfv375WivSwMAAa9asUY7FMjQ0RNu2bTFgwAC1BeibN2+O5cuXY9myZVi8eDFcXFwwf/58nD59GteuXVPZd86cOahRowZ27dqFpUuXQiwWw8nJCV27dlWZcys7EokEXbp0QUBAgLLH7+jRo1AoFLmOZ2rZsiWOHz+OCxcuqFyRWlSmTp2KgIAAnD9/Hrt370ZaWhoqVKiA/v3745tvvlH2Srq5ueH333/HsmXL8Ouvv8LOzg79+vWDjY0NZsyYka+fNWLECFSqVAmbN2/GqlWrAKSPy2rSpInylJunpyeaNm2Ks2fPIiwsDMbGxvD09MT69evh7e2tPNa0adMwc+ZMLFu2DCkpKejRowdq166tvBgiP2ML9fT08Ntvv6F9+/bYs2cPtm/frrJW7MSJE9GnT59is/JB3759sXr1aqxfvz7HYDdo0CCcOXMGgYGBkEqlqFChAiZMmKB2ZXlmZmZm2LhxIwYOHIivv/4af/31V7a983p6eli1ahU2b96MQ4cO4eTJkzA2NoazszMGDRqkPMXeqlUrvHnzBvv371f2INavXx9jx45V9pIbGBhgwYIFWLJkCWbNmgWZTIb58+crg11AQADatm37UdfppZJFJBTkvA4RkRa8fv0aHTt2xPr163O8kpC06/z58xg5ciQOHToET09PXZdDGggODkaPHj3g5+ento4sUQYuKUZEH13FihXRq1cvrFu3TtellBlXrlxBp06dGOpKsHXr1qF9+/YMdZQr9tgRERERlRLssSMiIiIqJRjsiIiIiEoJBjsiIiKiUoLBjoiIiKiUYLAjIiIiKiUY7IiIiIhKCQY7IiIiolKCwY6IiIiolGCwIyIiIiolGOyIiIiISgkGOyIiIqJS4v8A3/EcdZkkLksAAAAASUVORK5CYII=\n" }, "metadata": {} } ], "source": [ "grade_order = sorted(df['grade'].dropna().unique())\n", "sns.pointplot(\n", " data=df,\n", " x='grade',\n", " y='interest_rate',\n", " order=grade_order,\n", " color='#4a90e2',\n", " capsize=0.15,\n", " errorbar='ci',\n", " linestyles='-',\n", " markers='o'\n", ")\n", "\n", "plt.title('Average Interest Rate Trend by Loan Grade', fontsize=14, fontweight='bold')\n", "plt.xlabel('Loan Grade (A = Safest, G = Riskiest)', fontsize=12)\n", "plt.ylabel('Average Interest Rate (%)', fontsize=12)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "WzQ4Rc6wrFqU" }, "source": [ "## **2. Top Reasons for Loan**" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "id": "UfXcLSeXQBCy", "outputId": "e619d08f-b4af-46ae-9686-2d09316fbda7" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "purpose_counts = df['loan_purpose'].value_counts()\n", "sns.barplot(\n", " x=purpose_counts.values,\n", " y=purpose_counts.index,\n", " palette='viridis'\n", ")\n", "\n", "plt.title('Distribution of Loan Purposes', fontsize=14, fontweight='bold')\n", "plt.xlabel('Number of Borrowers', fontsize=12)\n", "plt.ylabel('Loan Purpose Category', fontsize=12)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "cN5SsA9JrORm" }, "source": [ "## **3. Loan Amount vs. Annual Income**" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "id": "d9ldQCA5QDot", "outputId": "4e10dba5-9769-452b-eccb-5a2e20a8bd86" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "df['term_labels'] = df['term'].astype(str) + ' Months'\n", "sns.histplot(\n", " data=df,\n", " x='interest_rate',\n", " hue='term_labels',\n", " kde=True,\n", " element='step',\n", " stat='density',\n", " common_norm=False,\n", " palette='Set1',\n", " alpha=0.4\n", ")\n", "\n", "plt.title('Interest Rates Differ by Loan Term', fontsize=14, fontweight='bold')\n", "plt.xlabel('Interest Rate (%)', fontsize=12)\n", "plt.ylabel('Density (Proportion of Loans)', fontsize=12)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "ZvWPvhIdrZRS" }, "source": [ "## **4. Correlation Heatmap of Risk Metrics**" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "id": "BUMADEEkQHve", "outputId": "379deda9-76f4-49a7-a16c-5c1e03b922aa" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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o6JOD3K86uHv16pX0t42NTY7Hse3du1cpal+6dCn169cH0u5oGzduTFxcHAqFgg0bNqgM7gB69+7NxIkTP3gsTU1NtmzZgrOzs9L2devWSSdG9erV2bhxo1T+Fi1a0LFjRyCt5U9VM3lmhQsX5uTJk0RERHDz5k1evXolNTcHBgYSGBgIpA2Gb9mypTSm4ezZs1Jw5+Dg8EljQjZv3iwFdjKZjE2bNlG2bFkg7e6ubdu2yOVykpOT2bJlC7/88ovKfBYtWiQF5iVKlGDWrFlAWndvTsYxqtKjRw+2bt2KQqFg06ZN2NraSmXt2bPnB2fHdurUiU6dOuHv709gYCDR0dFoamrSqFEj7ty5A6Tdnd69e5eqVavSqVMnQkNDlYK7li1bfnS2bKlSpfD29pa66HOiatWqDBw4kBUrVgBpXV9xcXEA6Ovrs3DhQgoV+vjHXi6XK7X+VK5cmS1btkgX9Pnz57N27VogrTv2/v37lCtXDg8PD+Li4qTgrkiRIp81juh9YGdsbMz69euzfS82b94sBXY2Njbs2bMHHR0dALp3706DBg1ITU3l0aNHUhBnYGBAmzZt2LlzJwC7du2SgruMX8J169bNUet4ZhmD3IyMjIxyFdxlvJ60aNFCCjjlcjn37t2TAq569epRr149Hj9+zP3794mMjKRQoULUr1+f27dvEx8fT0pKCn5+fnz33Xe5PpZcLlcKXi0sLPD29sbExETaFhUVlaPz7VOvT5/j4MGDzJw5E0gL3EuVKkVwcDCBgYF0796d9evXU7JkSd6+fSt92VpYWOQqsLt8+bLKFqK6desqtaZ/TMbgbd68eVnOx/fXaFVevHhBr169ePHiBZAWsP7xxx+fVJ/27dtLwd3r16/x8/OjTp06pKSkcOjQISldgwYNpFZadfxPc3MNnDlzJsnJydy6dYvg4GDevn1L8eLFqVGjhrS8zMWLF0lOTlbZza+lpcW2bdukrls3NzdpSEtsbCxHjx6Vvn+zk5vv7/ffPwDNmzfPsiRLXFycdC3Pia86uMutmzdvSn8bGxtLgR2kjdurV6+e1HKRMW1mgwcP/uix6tWrlyWwA6SxX5B2gShXrly2edy4ceOjwV1CQgLTpk3Dx8dHOulUyRgQf66M742zs7MU2AGULVsWZ2dnKRjK7n00NzdXanG1tbVVej02NjZXwZ2dnR1169blr7/+4tixY9KdmKWlJY0aNfpgcHfv3j3GjRvHgwcPPniMz511271790+6qL03bNgw/Pz8uHHjhtLFYPLkyVhZWeUoj/djZN5r06aNUtdJu3btpOAO0s7BD52jnysyMpKFCxcydepUlV1mGT8vwcHBWcbDZnTjxg0piOvRo4cU3P3111+8evUKCwsLpW6dDh06qKsan6Vbt27S36o+B++FhoYyZswYbty48cH8PvRZz8mxHj9+rNSS0rNnT6XADtIC2ZzIr+tTamqq0gS78ePH07p1a2kITXBwMN26dWP9+vXcvHlTKos6ly2ytrZm+PDhH+35yKhq1aqcPXsWgNatW+Pi4oK1tTUODg64u7tjbW2d7b4ZWygbNGjAsmXLPnkWcOPGjTEwMJB6s/bt20edOnU4f/680jmQcfiCOv6nubkG7t+/n1mzZhEVFZVtmqSkJKKiolQOJ6lSpYrSmLyWLVsyYcIEaXzm3bt3Pxrc5eb7283NDQ0NDRQKBTt27ODu3bvY29tja2tLhQoVqFGjhsrev+z8d6Zk5kLGLofg4OAcD5LNOM5O1ZuZcVt2i7IaGRnl6MKW+cKpqgwfk5Om6oULF7J3794PfsgApbuHz6WO99HS0lLpeeaL0sfq8yE9e/YE0rpM3r+H3bp1++CYnoSEBAYOHPjRwA4+/720s7PL1X6ampp06dJFaZuJickntXhkXqMu8/8v85d4Xi1OnDEY3b59u9L4u4xy+3lxdHSUWt5TU1PZu3cvt27dkrohjY2NpWV+PtWwYcMICAjI8sjt+L2Mn4UPfQ6GDh360cAOPnx+5uRYmc+Rz1mSJr+uT8HBwVILFqTdpBgZGeHp6Sl9X7x48YIePXooTcZ739X4qaysrBg7diw9e/aUbkKfPHlC7969efjwYY7zmTp1Kq6urkDa+37u3Dm8vLyYNGkSTZs2ZeTIkTm6FlpYWORqeRdtbW2l68fJkyd59+4dPj4+0jZTU1Pq1asnPVfH//RTr4Hvb7w/FNh97LiZr22amppKgfj7pXw+JDfXo0qVKjF+/HhpksW9e/fYv38/v//+Oz/88AP16tX7pIW6v+qWuxo1ahAcHAykvdmnTp3K0bi7jGN6VC2RknFbdncVOZ3Fml06AwMDIiIigLQ7iQ8tjpqT9aIydjOVLVuWRYsWYWtrS6FChRgxYoTUEqlO6ngfMzebq3Ogc926dbG1teXx48dA2gy6j92RXblyRWlyR79+/fjhhx8wNjYmPj5eugCrQ27H90RGRiq1TkDaYN358+dn2/WdWeZWhcz/v/fn5nu5aWHMic2bN9O7d2/pc7x7925SUlKYNWuWUhCe8VxzcHCQBnWrkrlLNONs7z179igFLd9++22BWYg1Yzmy+xwEBQXh7+8vPW/dujVjx47F3NwcDQ0NatasmaObwZwcK/M58n7mcW7k1/Up8xdzVFQURYoUoWTJkqxdu5YePXoQExOjdL5XrlxZKWj5FBlny7Zo0YIePXogl8uJi4tj+vTpbNy4Mcf57NixgydPnnD79m2ePHlCYGAgp06dIiUlhSNHjlC3bl2VrcwZlzLZsWMHRYoUUVpPL6fat28vjf2Li4tjz549nDlzRnq9TZs2Sl3w6viffuo18OjRo1IwqaGhwcKFC/nmm28oXLgw586dY8CAAR/NI/O1LTU1VemakJN19XL7/d2nTx86d+7MzZs3efjwIU+ePOH8+fMEBwcTFRXF+PHjld7zD/mqW+569Oih9AUwdepUpQvfe8nJyezatUv6Z2R8syMjIzl37pz0PCIigr/++kt6nlcLcWbMNzw8nM6dO+Ph4aH06N69OyYmJjla7yfjyenu7o6DgwOFChUiMjJS+mJTJeOHNfMsxE+pw71795RauwIDA7l3757KtPlFQ0NDar2DtC/yj81ey9xa0aZNG2mMSeZZpRllDhDejw/LCxMnTpQC0IxjTTdt2qR07n6Ira2t0pf3gQMHlGZ0Z1wSB8izNaeKFy/Opk2blGaI+fj4MHbsWKXyZDx/wsLCaN26dZbPS+/evSldujQuLi5Kx2jUqJG0yHJISIjS4PWC0iWbU5nPz+bNm2NhYYGGhgaXLl3KUWCXU7a2tkqzYDdv3pwl/5iYGN6+ffvRvHJ7ffpUpUuXVhp7vXTpUikYKFu2LPPnz8+yz2+//aaWY1epUkVpYs7FixdzXDd/f3/kcjnW1ta0adOGYcOGsXTpUqWg859//lG5b8uWLZWGCHl6evLHH398cvkrVapEmTJlpOeLFi1SGguYuUU6v/6n2R2zaNGitGjRQmpA+dD1OaNr164p3agcPnxY6pKFtIldH5Ob7+9Xr14RHh6Onp4eNWvWpGfPnvz6669KLcjPnz/PUaskfOUtdw4ODowYMYJFixYBaRf9Dh060KBBA8qVK5dlEeNTp04BaU31K1askE6U4cOH06FDB4oUKcLBgwelcUwaGhr07t07T8ret29fTp06hUKh4MmTJ7Ru3ZomTZpgamrKmzdvCAwM5MqVK8TFxWU7KDojW1tbaQDrrl27kMlk6OnpsW/fvg9e8DN2bZ87d44FCxZIXc4f617q3r0727Ztk2Ya9ejRQ2m27PuLqpaWVo7WaMoL7du3l+r4oXFa72XuRv/5559p0aIFz549U1oUNTMjIyO0tLSki8TixYvx9/enUKFCVK9eXW2r0W/ZskW6s9PT02PVqlXs2LGDdevWoVAomDBhAgcOHPjo0hQymYzevXvz+++/A2njQrp160bt2rUJCgpSulC+//3YvGJubs6mTZvo06ePdA4fPHiQ5ORkFi5ciJaWFj179mT79u0kJiYSHR1N27Ztad68OSVKlCAuLo6HDx9y+fJlYmNjOXXqlFIQr6mpSdeuXaW1vN5/YVWoUEFpnOh/gbW1tbSOI6QNLr9//z7R0dFq/91amUyGh4eHFBC9fPmSli1b0qJFC0xMTHj27BknT57Ey8vro+Mxc3t9+lTGxsa0aNFCmgSwf/9+Hj16RL169Xjz5o3K1qTff/+d5cuXq6XXYMCAAezbt0/6//z555/ZTsjLaOTIkbx9+xZ3d3fMzc0xNDTk6dOnSjdrH2pRGjlyJOHh4dLM5qVLl1KkSJFP/v5q166d9P/OeLOfeUw15N//NPMx34uNjWXAgAFUrlyZ69ev4+vrm6M8kpOT6dq1K23btpVmy75XtGhRmjdv/tE8cvP9ffXqVcaMGUOVKlWws7PD3NwcuVzOiRMnpHy1tLRy3Jr5VQd3kLY4qZ6eHvPnzycpKYmUlBROnjyZ7TIXkNbFtHz5coYMGUJsbCwJCQls2bJFKY1MJuPnn3/O0QczN6pWrcqkSZOYNWsWKSkpvHjxQuXaVTk1aNAgaZHWhIQEqTvAzMyM2rVrq5zVB9CkSROplSY+Pl6aPu7g4PDR4M7a2pp58+ZJ69xFR0ezfv16pTTa2trMmTPngwOC85Kenl6Ol8iBtC/8unXrSjPHHj58KP1gdLt27bK0aL2nra1NgwYNpA/q+7WOIO0nh9QR3D148IC5c+dKz0ePHo2NjQ0//fQT58+f58GDB4SHhzNhwgRWrVr10fwGDhxIQECA0uShzBNf7O3tVbZ2qJuJiQleXl7069dPaqE4duwYKSkpLFmyBCsrKxYtWsTPP/9MXFwcUVFRKtcizE7Hjh1Zvnz5B1si/gtMTEzo1KkT27dvB9LGj71vpalZsyZBQUFqnTTl4eFBcHCwFDRERUWxdevWT84nt9en3Jg6dSrPnj2TzuV79+4p9SJA2nXhffBy8uRJlixZwk8//fTZx7azs6NJkybShJ0LFy5w+/btHN1YhoWFcfDgQZWvGRoafnRIybRp04iMjJQaMWbPnk2RIkU+qXW6bdu2LFq0KMu6rKo+K/n5P81YjvXr10tLvpw/f166Vn/o+pyRs7MzwcHBWZZKkclkTJs2LUfdsrn9/pbL5Vy5ckXpp9wy6tGjR45/wvGr7pZ9r1evXpw6dYoff/yRKlWqYGxsTKFChaSV9rt27cqmTZuUBhFXq1ZN+h09BwcH9PT00NLSomTJkrRp04bt27er/BkWderevTve3t507twZGxsbaVV1U1NTqlevzpAhQ7L8NmJ2WrVqxZIlS3ByckJLSwtDQ0NatmzJzp07P7gAbaNGjZg8eTL29va5GnvUokULfHx86NKlC9bW1ujo6KCjo0Pp0qXp1KkTPj4+2S5gXFAtW7aM3r17Y2ZmhpaWFtbW1owaNUpaXiE706dPp127dpiamqr95+WSkpIYPXq0FJzUqFGDHj16AGmB5bx586T/39mzZ9m8efNH89TU1OT333/n999/p379+piYmFCoUCGKFi2Ki4sLY8eOZffu3dmulaZuRkZGbNiwQSkQfv+5TkpKonHjxhw4cIC+fftStmxZChcuLA2Gfv9rERmXOMicd8ZB8zo6OrRp0yZf6qVukyZNYvjw4VhaWkrXLA8PD/78888cLUvyKTQ0NJgxYwbr1q2TWkq1tLQoXLgwtra2dO7cOUfnR26vT7lRrFgxtmzZwpQpU6hSpQpFixZFU1MTIyMjqlevzsSJE/H19VVqofnzzz+zDaw+1aBBg5Sev1+26ENGjx5Nly5dcHZ2lq47enp62NnZ0a1bN/bs2ZNl8llmmpqaLF68mCpVqgDpC1DntLsS0gKzunXrKm3LuLZdRvn5P33P0NCQrVu30rRpU4oUKYKuri4VK1Zk+fLlHxyHm1HZsmXZtWsXTZo0wcDAAF1dXSpXrszq1as/6bvqU7+/q1Spwk8//USDBg0oXbo0+vr6FCpUCGNjY2rWrMmcOXOyLI/yIRoKdf3OiiAIwn/Y6tWrpa7ZVq1aScM5BEEQ/mu++m5ZQRCE7ISFhfHo0SOeP3+utCDvlxoDKgiCoA4iuBME4f/W+fPnmTBhgtK25s2bS11XgiAI/0UiuBME4f+eTCajePHitGrVimHDhn3p4giCIHwWMeZOEARBEIT/K1euXMHT05O7d+8SFhbGH3/88dGVEy5dusScOXN48OABJUqUYPDgwVlmCm/ZsgVPT0/CwsJwcnJi0qRJOZoNrW7/F7NlBUEQBEEQ3ouLi8PR0ZEpU6bkKH1ISAgDBw7E3d2dffv20bt3b3799VdpqRVIW/B49uzZDB06FG9vb5ycnPDw8Mjyqxf5QbTcCYIgCILwf8vR0fGjLXfz58/n3LlzSkvi/PTTT8TGxkqTsTp27EjFihWZPHkykLZuXf369enZs2eOfvpMnUTLnSAIgiAI/3lJSUm8fftW6ZGUlKSWvG/evEnNmjWVttWpU0daDDspKYl79+5Rq1Yt6XWZTEatWrW4ceOGWsrwKcSECkEQBEEQCoRDWo653jdo0TCWL1+utG3YsGH8+OOPn1sswsPDMTU1VdpmamrK27dvSUhIICYmhtTUVExMTJTSmJiYEBQU9NnH/1QiuBPyxOd8QAuqVskBPA+4/aWLoXYlHStx80HYly6G2rk6mBF5+/zHE/7HGFeqS8Tdv790MdTKpEItrgbk7AfR/0uqOhrx8NHjL10MtStjb/vxRLmkoZX73/AdOHAgffv2Vdqmra39uUX6TxLBnSAIgiAI/3na2tp5FsyZmpoSHh6utC08PFz6mTOZTIampmaWyRMRERFZWvzygxhzJwiCIAhCgSArpJHrR15ydXXl4sWLStv+/vtvXF1dgbTA0tnZGT8/P+l1uVyOn58flStXztOyqSKCO0EQBEEQCgQNLVmuH5/i3bt33L9/n/v37wMQGhrK/fv3ef78OQALFy5k7NixUvouXboQEhLCvHnzePToEVu2bOHIkSP06dNHStO3b1927tyJt7c3jx49YurUqcTHx2dZCy8/iG5ZQRAEQRAKhLxugXvv7t279OrVS3o+e/ZsANq1a8ecOXMICwvjxYsX0utWVlasWrWK2bNn4+XlRfHixZkxYwZ169aV0rRs2ZLIyEiWLl1KWFgY5cqVY+3atV+kW1YEd4IgCIIgFAifM6HiU7i7uxMQEJDt63PmzFG5j4+Pzwfz7dGjBz169Pjc4n02EdwJgiAIglAg5FfL3ddOBHeCIAiCIBQI+dVy97UTwZ0gCIIgCAWCaLlTDxHcCYIgCIJQIGhoiuBOHcRSKIIgCIIgCF8R0XInCIIgCEKBIBMtd2ohgjtBEARBEAoEDZkI7tThq+uW7dmzJzNnzvzSxRAEQRAE4RNpaMpy/RDSfXUtd8uWLaNQoZxVKzQ0lEaNGuHj40O5cuXyuGQf5+joyB9//EHjxo3z9DgFrd4AxnWqYjfaAwO3CuiWNOdqhyG82n/qw/vUq075BeMpUt6BhJAXPJy9klAvb6U01oO7YTfKA53iZsTe9ufeyOnEXLmTl1VRyfvQUXZ47ycyKhp7W2uGD+hHubIO2aY/6+vHui3befk6jFIlizOgdw9qVHVTSvMkJJTVGzdz6+4/pKbKsbYqxbQJo7EwM8vr6kgUCgW7tnhy6tgB3r17g2O5ivQfMoYSllbZ7vPP3Zsc2LOVx48CiIqMYMwvs6hWs95n56suu4+eZsv+Y0RGx1DG2opR/bri7GCnMm1QyDPW7NiHf9ATXoZFMKJPZ7q0apJt3l7eh1m5dS+dWjbmp75d8qoKKu05coot+46k1cumNKM8ulM+u3o9fcba7d74BwWn1atvVzq3bqqUZu/R03gfO8OLsLQfU7e1sqRfx2+p6VYpz+uSkUKhYM/WNZw5vo93795StlxF+g0eS/GSpbPd5/7dGxzy3szjRwFER4bz08S5VK1RXynNnq1r8Dt/ksjwV2gW0sK2jCOdegyijGOFvK4SkFavzZs3cezoEd69e0e58uUZOvRHLC0tP7jfwQP72bNnN1FRUdja2jFo8BAcHR2l148cOcy5s2d4+PAR8fFx7Ni5myJFiuR1dXJMdMuqx1cX6hoaGn6REzU5OTnfj5lZUlLSly5CrmnqFyb2dgB3h0/LUXo9m1JU27+KiLOX8K3alsfLNlJx1QxMm9SR0pTo2IJy8yfwYMYf+FZvx5vb/rgf8kTbzDivqqHS6fMXWOm5kd5dOrJ68VzsbawZO2UmUdExKtPfvR/A9AVLaNmkIWuWzKOOe3UmzZrH4ydPpTTPXrxk+PhJWFlasnjmNNYuXUDPzh3Q1tLOr2oBsH/PFo4c2E3/oWOYuXA1urp6zJo8iqSkxGz3SUyIx9quDP0GjVJrvupw8sJllm7ciUfHNmyYOxkHayt+mrmEyJhYlekTEpMoaW7GkO4dMDE0+GDe/zx8jM+JvyhjXSoviv5BJy9cYumG7fTr1Jb186dSxtqKn6YvzL5eSYmUtDBjcI+O2dbL3MSYwT2+Z/28KaybN4UqFcoxbu5Sgp4+y8uqZHFw7yaOHdxJ38Hj+G3+WnR09JgzZeSHz8HEeErbOtBn4Jhs0xS3LE2fgaOZs2wLU+auwsy8BHOmjCA2JiovqpHF7t27OLB/H0OHDWfR4iXo6uoyadIvH7zO/3XuHGvWrKFbtx4sXbYcWzs7Jk36hejoaClNYmIiblWq0qlz53yoxafTkGnk+iGk++qCu4zdsg0bNuTPP/9kwoQJVK5cmQYNGrBjxw4pbaNGjQD47rvvcHR0pGfPntJru3btokWLFlSsWJHmzZuzZcsW6bXQ0FAcHR05fPgwPXr0oGLFihw4cOCj+yUlJfHbb79Rp04dKlasyDfffMOqVauksgIMHToUR0dH6fmHLFu2jLZt27Jr1y4aNmxIpUppd8x//fUXXbt2pWrVqri7uzNw4ECePk0PDHJb77wUduwvAqcs4dW+kzlKbz2gC/GPQ7k/di5v/YN4smILL/ccw3ZEHymN7ci+hHjuJHTjXt7ef8SdIVNIjUvAqk+HPKqFarv2HaRV00a0aPwNNqWtGDVkALo62hw5eVpl+j0HDlHdzZUu7dtibVWKfj264GBnh/eho1Iaz83bcK9SmUF9e+Jgb4tlieLUdq+G0UcCDHVSKBQc3reL9p17Ua1GXaxtyzB01K9ERUZwxe98tvtVrlqTLj0HUL1WfZWv5zZfddh28ATfNqpL62/qYGtVkrEDeqCjrc3B074q05cvY8uPvTrSpHZ1tLSy7zGIi09g6tK1jB/Ui6L6hfOq+NnafuA43zauR+uGdbG1smTswF7o6Ghz8JTq97N8GTuG9e5Mkzru2darTjVXalVxwapkcUqXLM6g7h3Q09XlXuCjvKyKEoVCwdH9O/iuU1+q1qhHaVsHBv80hejIcK5d/Cvb/Vyr1KJTj0FUq9kg2zS16zejgmt1zItbUqq0Hd09RhIf946nwQ/zoCbKFAoF+3y86dylKzVr1sTW1o7Ro38mMiICP7+/s93P23svzZs3p0nTppQubc2wYT+iq6PD8ePHpDTffdeOTp064+TklOf1yA2ZpkauH0K6ry64y2z9+vVUqFABHx8funXrxtSpUwkKCgLSAhmADRs24Ovry7JlywDYv38/v//+Oz/99BOHDx9m1KhRLF26FG9v5S6/BQsW0KtXLw4fPkydOnU+ut+mTZs4ffo0S5Ys4ejRo8yfP19qYt+9ezeQ9uPFvr6+0vOPefr0KceOHWP58uXSb97Fx8fTt29f9uzZw4YNG9DQ0GDo0KHI5XK11LsgMKzhSvhpP6VtYSd8MarhCoCGlhYGbs6En8pwIVQoCD/9N4Y1KudbOZOTkwl8GEQV1/SuKplMhptLJe75B6rc5x//QKq4KHdtVXNzkdLL5XIuXr1OqZIl+XnKDNr19GDwmAn4XrycdxVR4fWr50RHRVDRtZq0rbB+Eco4lueB/90Cl+/HJCenEBD0hGqVykvbZDIZ1SqV425g0GflvcBzC7XcKlI9Q975JTk5hYBHwVSt5CxtS6tXee4GqidQSU2Vc8L3EgkJiVRwtFdLnjkR9u+54uyifK7Yl3XmQYD6hl+kJCdz5pgPhfWLYG2b/XAKdXn58iVRUVG4uqZfq/T19XF0dML//n2V+yQnJ/Pw4QOlfWQyGa6ulfH3V71PQaShqZHrh5Duqxtzl1m9evXo3r07AD/88AMbNmzg0qVL2NnZYWyc1j1naGiIWYZxSsuWLWP8+PE0bZo2xsTKyoqHDx+yY8cO2rVrJ6Xr3bu3lCYn+7148QJra2uqVKmChoaG0tiJ92UpVqyYUlk+Jjk5mXnz5kn7AzRr1kwpzaxZs6hZsyYPHz6kbNmyn13vgkDHwpTEV+FK2xJfhaNlUBSZrg5aRgbIChUi8XVEpjQR6DuqHmeUF2Ji3yCXy7O0qBkZGvD0meruq8joaBXpDYmKigYgOiaG+PgEtu3xoV+PLgzs3Z3L128yefYCFs2cgmsFZxW5ql90VCQABoZGStsNDI2Ijo4scPl+9Lhv3pIql2NsUExpu7FBMZ48e5nrfE9cuExA0FPWzfn1c4uYK9Fv3qTVyzBzvQw+q14Aj56EMGDiTJKSktHT1WH22GHYWn14TJg6RUelfb4NDJWHWhgYGkuvfY7rV3xZPn8SSYkJGBqZMv63pRQtZvjZ+X5MVFRa16+RkfKxDA0Npdcyi42NRS6XY6hin5CQkLwoZp7QkH31bU754qsP7jIOJNXQ0MDU1JSIiOw/9HFxcTx9+pRffvmFSZMmSdtTUlIoWrSoUtoKFSp80n7t2rWjX79+NG/enLp169KgQQPq1KnD5yhZsqRSYAcQHBzM0qVLuXXrFlFRUSgUCgBevHhB2bJlP7vewpcll6f9P2u5V6Vj29YAlLGz5Z5/AAeOnMiz4O78meOs+WO+9Hz8lHl5cpyvyavwSBav38bSSaPQ0db60sVRu9IlS7BxwTTexsVzxu8KM5av5Y/fxudZgHfh7FE8V8yVnv88eWGeHOe98hWrMGuJF29iYzhzfB/L5v7CtAWeWYLJz3XmzGmWL1sqPZ867Te15i/8//nqg7vMM2c1NDSkYEeVuLg4AKZPn46Li4vSa7JMdxSFCxf+pP2cnZ05deoUf/31F3///TcjR46kVq1aLF26lNzS09PLsm3QoEFYWloyY8YMzM3NkcvltG7d+oOTPj6l3gVB4qtwdCxMlbbpWJiSHPMGeUIiSeFRyFNS0DE3yZTGhMSXyi1+ecmgWFFkMlmWyRNR0TEYGxqq3MfY0FBF+mjpLt6gWFE0NTWxsVKeOVq6VCnu/OOvtrJnVtW9Dg6O6d2KyclpA7tjoqMwMk7/X8RER2FjWybXxzE0Ms6TfD963KJF0JTJskwyiIyJ/ehkiez4Bz0hKuYNfcZOl7alyuXcvP+APUdPc27rn2jm8RIOhkWLptUrOnO9YrK05n0qLa1ClCphAYCTvQ33Hwaz89AJxg3q81n5Zsetel3sy6bfvKSkpF3TYqIjM50rkVjbfX73qa6uHsVLWlG8pBUOThUYNfB7zp44QNuOvT8774zc3Wvg6Jg+Bu79ZysqKhpj4/RrWHR0NHZ2qnseihUrhkwmI/rfFv6M+xgZG6ncpyASEyPU46sP7j5ESyvtTjo1NVXaZmpqirm5OSEhIXz77bc5ziun+xUpUoSWLVvSsmVLmjVrRv/+/YmOjsbQ0BAtLS2lsuRGVFQUjx8/ZsaMGVStWhWAq1evKqVRZ72/lOiLNzFrobx8hmmjWkRdvAmAIjmZmOv3MG1YM31JFQ0NTL6pyZMVm/OtnFpaWpQtY8f1W3eoU6M6kDZm7vrtO7Rr1VzlPuWdynL99h2+b9tK2nbt5m2cncpKeTo52BOSqVs39PlzLMyVA1510itcGL0MNzQKhQJDIxPu3LyKzb9fpHFx73gY8A9NWnyX6+OYW5TMk3w/RkurEI521ly9c5/61dPGLcnlcq7e8ef75t/kKs+qFcuxeaHyDPCZK9ZjXbI4Pb5rkeeBHfxbL3sbrt35h/ruacvpyOVyrt6+T4cWjdR6LLlCTnJyilrzzEivsD56hfWl5+/PwXu3rmBjl/b5iIt7x6PAezRu0V7tx1coFKQkq39VgsKFCys1FigUCoyMjLh16yb29mljGOPi3hEQ4E/LVq1U5qGlpUWZMg7cvHWTmrVqAWn/55s3b9K6TRu1lzmviIkR6vF/HdyZmJigq6vL+fPnKV68ODo6OhQtWpThw4czY8YMihYtSt26dUlKSuLu3bvExsbSt2/fbPP72H7r16/HzMyMcuXKIZPJOHr0KGZmZhQrlnb3bGlpiZ+fH25ubmhra2Ng8OmtBQYGBhgaGrJjxw7MzMx4/vw5Cxcqd12ou97qoKlfGP0y6etSFbYtRTEXJ5IiY0gIeYHjjFHoWlpwq+84AJ6s3o71kO44zf6ZkA17MP2mBiU6tuDKtwOlPB4vWY/LurlEX7tLzJXb2AzvTSF9PUI27s3TumTWsW1r5iz5g7Jl7ClXtgy79x8iISGR5o3SAoZZi5dhZmzMD73TxoZ2aNOKkROnsNP7ADWquXH6rwsEPHzE6KHpdevc7lt+m7+YSs7lqVzRmcvXb/L35WssmTU13+qloaFBy7Yd8d6xkRKWVphblGDH5rUYGZtQrWZdKd30iSOoVrMezdukzVJOiI/j5Yv0wPT1qxcEBz2gSJGimJoXz3G+eaFr6yZM/2MdTvbWOJexZfuhkyQkJtL6m9oATFvmiZmxIUO6p9UlOTmFx6HPgbQhDGER0QQ+foqerg5WJSzQ19PFvrRyF6WujjbFihbJsj0vdWnTlBnL1uJkb0N5Bzt2HDyeVq+GacNCflu6BjNjQwb36KiiXqmERUQR+PgphXV1pJa6lZt3UaNyJYqbmRAXH8/x8xe5cS+AxZNG51u9NDQ0aP5tZ3x2bqB4SSvMLEqye8tqDI1NqVIj/eZv1q/DqFqjPk1bp9Uv7RwMlV4Pe/Wc4KBAihQthqlZcRIS4tm3cwNu1etiaGzC29gYThzaTVREGO511BsQZ1evtt+1Y/v2bZQsWZLiFsXZtMkLYxMTatasJaWbOGE8NWvVok2btBvydu3as2jRAhwcHChb1pF9+7xJSEygSZP0seGRkZFERUXx4nna/zc4OBg9PT3Mzc0LxBAc0XKnHv/XwV2hQoX49ddf+eOPP1i6dClVq1Zl06ZNdOzYEV1dXTw9PZk3bx6FCxembNmy9O794ab4j+2nr6/P2rVrefLkCTKZjIoVK7J69Wqp23PcuHHMmTOHXbt2YWFhwenTqpfK+BCZTMbixYuZMWMGrVu3xtbWll9//VVpuRN111sdDKpUoOapTdLz8gsmAhDitZfbHhPQKWGGnlUJ6fX44FCufDuQ8gsnYPNjLxJCX3Jn4K+En0hfsuLFriNomxlTdsrwtEWMb93ncuv+JL3+/IHWn6Jh3drExMSyYeuOtEWM7WyYO/UXjP/tZn0dFo5MI/2CVqGcI7+OHsG6LdtYu2krliVLMH3iWGyt04PfujXd+WnwALbu9mbZmnVYWZZk2vgxVCyfv4tSf9uhO4kJCaxeNo+4d29xLF+RCb8tRFtbR0rz6uUz3sRGS88fPfDnt4nDpedea9Nma9dv1IIhP/2S43zzQuPa1YmKfcvaHfuIiI7FwcaKxb+MxPjfbtlX4RFK/6vwqGh6j00fH7X1wDG2HjhG5fJlWTFtbJ6W9VM0ru1OdMwb1mz3ITI6Bgfb0iz6ddQH69VnzBTp+db9R9m6/yiVnR3547fxAETFvGH6sjVERMWgX1iPMtZWLJ40muou+TOh573W7XuSmJCA5x9ziHv3lrLlKzFu6pJM52Co0jkY9PA+M38ZKj3f7Pk7AHUbtmTQyMnIZDKehwZz/vRh3sRGU6SYAXZlyjFpzp+UKp0/E7K+/74jCQkJLFu2lHdv31Le2Znpv81AWzt9LcsXL54TG5M+hKNe/frExMawedMmoqKisLOz47ffZmBklN4te+TwIbZuTV/iatzYtLX+Rv40SikI/FLEhAr10FB8aACaIOTSIS3Hjyf6j2mVHMDzgNtfuhhqV9KxEjcfhH3pYqidq4MZkbfzdl28L8G4Ul0i7ma/1tl/kUmFWlwNyJ/FgfNTVUcjHj56/KWLoXZl7G3zLO87rXM3BAKg4sEzaizJf9v/dcudIAiCIAgFhxhzpx4iuCvAWrVqxfN/x0VkNm3atP/ExAdBEARByCkx5k49RHBXgK1evZqUFNUzz0xMTFRuFwRBEIT/KjHmTj1EcFeAZfwFC0EQBEEQhJwQwZ0gCIIgCAWC6JZVDxHcCYIgCIJQIIjgTj1EcCcIgiAIQoGQn8Hdli1b8PT0JCwsDCcnJyZNmkSlSpVUpu3ZsyeXL1/Osr1+/fqsXr0agPHjx+Pt7a30ep06dfD09FR/4T9CBHeCIAiCIBQI+TWh4vDhw8yePZtp06bh4uLCxo0b8fDw4OjRoyonLC5btkzp99mjo6Np27YtzZsr/4xk3bp1mT17tvQ846LT+UkEd4IgCIIgFAj5tc7d+vXr6dSpEx06pP2U4LRp0zh79ix79uxhwIABWdIbGhoqPT906BC6urpZgjttbW3MzMzyrNw5JYI7QRAEQRAKhM/plk1KSiIpKUlpm7a2dpbWs6SkJO7du8fAgem/1y2TyahVqxY3btzI0bH27NlDq1atKFy4sNL2y5cvU7NmTYoVK0aNGjUYOXKk0s+/5RcR3AmCIAiCUCB8TrfsqlWrWL58udK2YcOG8eOPPypti4qKIjU1NUv3q4mJCUFBQR89zu3btwkMDGTmzJlK2+vWrUuTJk0oVaoUISEhLFq0iB9++IEdO3agqamZy1rljgjuBEEQBEEoED6n5W7gwIH07dtXaVtejHnbvXs3ZcuWzTL5olWrVtLfjo6OODo60rhxY6k1Lz+JpaAFQRAEQSgQNGQauX5oa2tTpEgRpYeq4M7IyAhNTU0iIiKUtkdERGBqavrB8sXFxXHo0CG+//77j9bFysoKIyMjnjx58mlvghqI4E4QBEEQhP8b2traODs74+fnJ22Ty+X4+flRuXLlD+579OhRkpKScvTb7i9fviQ6OvqLTLAQ3bKCIAiCIBQI+bUUSt++fRk3bhwVKlSgUqVKbNy4kfj4eNq3bw/A2LFjsbCwYPTo0Ur77d69m8aNG2eZJPHu3TuWL19Os2bNMDU1JSQkhPnz52NtbU3dunXzpU4ZieBOyBOtkgO+dBHyRElH1Qtc/te5Onz5qft5wbhS/l9U84NJhVpfughqV9Ux/2cU5ocy9rZfugj/Kfm1iHHLli2JjIxk6dKlhIWFUa5cOdauXSt1y7548QJZpkAzKCiIa9eusW7duiz5aWpqEhgYiI+PD2/evMHc3JzatWszYsSIL7LWnYZCoVDk+1GFr97zgNtfughqV9KxEoe0HL90MdSuVXIACcfXf+liqJ1u0748C7zzpYuhdpZlK/L0wf0vXQy1Ku1QjvjTm750MdROr2FPom6d+9LFUDsjl/p5lnfosI653rfU8l1qLMl/m2i5EwRBEAShYNAQvy2rDiK4EwRBEAShQMjP35b9mongThAEQRCEAiG/JlR87URwJwiCIAhCgSBa7tRDBHeCIAiCIBQIouVOPcS7KAiCIAiC8BURLXeCIAiCIBQIoltWPURwJwiCIAhCgSCCO/UQwZ0gCIIgCAWDGHOnFiK4EwRBEAShQNAQixirhQjuBEEQBEEoEMRsWfUQwZ0gCIIgCAWCGHOnHl9NiNyzZ09mzpz5pYshCIIgCEJuyWS5fwgS0XInqNSwYUN69epFnz598vW43oeOssN7P5FR0djbWjN8QD/KlXXINv1ZXz/WbdnOy9dhlCpZnAG9e1CjqptSmichoazeuJlbd/8hNVWOtVUppk0YjYWZWV5XB+M6VbEb7YGBWwV0S5pztcMQXu0/9eF96lWn/ILxFCnvQELICx7OXkmol7dSGuvB3bAb5YFOcTNib/tzb+R0Yq7cycuqZLH9r2tsPHWJ8Nh3lLU0Z/z3TahoU1Jl2pM3A/A87kdIeBTJqXKszYzo2bA6bapXACA5NZXlB//C914QoRHRFNXVwd3RmhFtG2BuUDQ/q4XPoSPs2Jt+Dv440OMj5+DfrN/8/hwswQ99sjkHN2zm9t1/SE1NxdqqFFMnjMHCPO/Pwff2HTzMrr3e/9bLhqEDf8DJsWy26c/5XmDj5q28fPUay5Il6N+nF+7Vqkqve23ZxtnzvoSFhVOoUCEcytjTt1cPyn0gz7yw/exVNp7wIyL2LWVLWTCuczMq2liqTHvqhj+eRy/wNCySlFQ5pc2N6dXYndbulaQ0CoWClQfPsdf3Jm/iE3C1K8XEbi2xNjfOryqx++gZNh84TmR0DGWsSzG6X1ecy9iqTBsU8pzVO/bh//gpL8MiGNm7E11aNVZKs2bnfjx3H1TaZl3Sgh1LpudZHXJLtNyphwh1hQLj9PkLrPTcSO8uHVm9eC72NtaMnTKTqOgYlenv3g9g+oIltGzSkDVL5lHHvTqTZs3j8ZOnUppnL14yfPwkrCwtWTxzGmuXLqBn5w5oa2nnS5009QsTezuAu8On5Si9nk0pqu1fRcTZS/hWbcvjZRupuGoGpk3qSGlKdGxBufkTeDDjD3yrt+PNbX/cD3mibZZ/Xz5Hr91ngfdpBraow/axfXG0NGfwih1EvHmnMr2Bvi79m9XEa1RPdo/vR9saFZmy5RAX7gcBkJCUjH/IKwY0r8WOsX1Y1L8dwa8jGbFqT77VCeDM+QusXLuRXl07smrJPOxtbRg3ecYHzkF/ZsxfQoumjVj9+3xq16jG5JlZz8ER436ldClLFs2aypplC+nR5Xu0tfPnHAQ4+5cvq9auo0fXLqz8fRF2tjZMmDyNqOholenv3fdn1ryFNG/SmJVLF1G7hjtTZ87hcfATKU0py5IMGzSA1X/8zuJ5s7GwMGf8pKlEx6h+r/LCsav3WLjnBANb1WXbxP6ULWXBkKXbiIxVfR4W09elf4vaeP3cl12//kDbmi5M8TrA3/88ktJsOO7H1jNX+KVbCzaN7YuejjZDlm4lMTklX+p04u8r/O61i/7ft2bj3F9xsLZi5MzfiYyJVZk+ITEJSwszhnZrh4lhsWzztbMqyaHV86XHqt/G5lUVhALgqwzuYmJiGDt2LNWqVcPFxYX+/fsTHBwsvR4VFcWoUaOoW7cuLi4utGnThoMHle9qevbsyYwZM5g3bx7Vq1endu3aLFu2LMdlWL9+PW3atMHV1ZX69eszdepU3r1Lv+Ds3buXqlWrcubMGZo1a4aLiwvDhw8nPj4eb29vGjZsSLVq1ZgxYwapqak5rtuyZcto27atUlk2bNhAw4YNpefjx49nyJAheHp6UqdOHdzd3Zk2bRrJyclS3Z89e8bs2bNxdHTE0dExx/X+HLv2HaRV00a0aPwNNqWtGDVkALo62hw5eVpl+j0HDlHdzZUu7dtibVWKfj264GBnh/eho1Iaz83bcK9SmUF9e+Jgb4tlieLUdq+GkaFBvtQp7NhfBE5Zwqt9J3OU3npAF+Ifh3J/7Fze+gfxZMUWXu45hu2IPlIa25F9CfHcSejGvby9/4g7Q6aQGpeAVZ8OeVSLrDaduUz7mi58V6MS9iVM+bVzc3S1tfDxu60yfTUHaxq5OGJX3BQrMyO6N6iGQ0lzbjwKBaConi6rhnWhmVs5bCxMqGRryYSOTfkn5CUvIvMvWNjlc4CWzRrTonFDbEpb8dOQAejo6HDkhOpzcO/+w5nOwa442Nvic/CIlGbdpq1Ur+LGwL49cbC3y/dzEGCPzz5aNGtK8yaNsC5txYihg9HR0eHYCdWtyN77D1CtihudOrTD2sqKPj27U8bejn0HD0tpGjaoj5urCyWKF8fGujSD+vcjLi6OoMfB+VQr2HTqEu1rV+a7Wq7YlzDj164t/z0Pb6pMX62sDQ1dnbArYYqVmTHdG1bHwdKCGw9DgLRWuy2nL/NDizp84+JI2VIWTO/zLWExbzhzMyBf6rTt4AnaNqpD629qY1uqJON+6I6utjYHz1xQmb58GRt+7Pk9TWpXR0tLK9t8NWUyTAwNpIdhsfxtEc8pDQ1Zrh9Cuq/y3Rg/fjx3795l5cqV7NixA4VCwYABA6TgJSkpCWdnZ1avXs3Bgwfp1KkTY8eO5fZt5S8mb29vChcuzM6dO/n555/5448/uHBB9QcsMw0NDX755RcOHjzInDlzuHjxIvPnz1dKk5CQwKZNm1i8eDFr167l0qVLDBs2jHPnzrF69WrmzZvH9u3bOXbsWI7rllOXLl3i6dOnbNy4kTlz5uDt7Y23d1rX37JlyyhevDjDhw/H19cXX1/fT8o7N5KTkwl8GEQV1/TuEZlMhptLJe75B6rc5x//QKq4VFLaVs3NRUovl8u5ePU6pUqW5OcpM2jX04PBYybge/Fy3lXkMxnWcCX8tJ/StrATvhjVcAVAQ0sLAzdnwk/9nZ5AoSD89N8Y1qicL2VMTknlfshLajjaSNtkMg1qONpwO/jZR/dXKBRcCggm+HUkVcpYZZvubXwiGhppgV9+kM5BF+VzsIprRf4JUP3F/o9/IG6umc7Byq5ZzkEryxKMnTyd9j36MWT0eHz98u8cTKvXI6VyymQy3Fxd+Mc/u3oFZKlXVbfK3M8mfXJyMoePHkdfvzD2tqq7D9UtOSWV+09f4O6UfjyZTAN3JxtuB+XwPPR/TPCrCNwcSgPwLDya8Ni3SnkW1dOloq0ltx6Hqr8SmSSnpBAQ9JRqFctJ22QyGdUqluNOYNBn5R3y8jWtB/5M+2ETmbx0LS/DIz63uHlDppH7hyD56sbcBQcHc/r0abZt24abW9q4lwULFtCgQQNOnjxJixYtsLCwwMPDQ9qnZ8+e+Pr6cuTIESpVSr+gOTo6MmzYMABsbGzYvHkzfn5+1K5d+6PlyDhWrVSpUowcOZIpU6YwdepUaXtycjJTp06ldOm0C0uzZs3Yv38/Fy5cQF9fnzJlyuDu7s7Fixdp2bJljuqWUwYGBkyePBlNTU3s7e2pX78+fn5+dOrUCUNDQzQ1NdHX18csH8alAcTEvkEul2dpzTAyNODpM9UX6sjoaBXpDYmKigYgOiaG+PgEtu3xoV+PLgzs3Z3L128yefYCFs2cgmsF5zypy+fQsTAl8VW40rbEV+FoGRRFpquDlpEBskKFSHwdkSlNBPqOdvlSxqh3caTKFZgU01fablJUn8evsv/CeBOfQJNf/yA5JRWZTIOJnZpS00l1IJCYnMKS/WdoUaU8RfR01Fr+7EjnoFHWc+pp6IfOQcNM6Q2k7k7pHNztQ98eXRjQpweXr91kyuz5LJo5FZeKeX8Opn+2spYzJFR1wBIVFY2hivSR0VFK2y5evsLMeQtJTEzE2MiIudOnYWCQfdegOkW9zeY8LFaE4I+ch00n/E5y8r/nYdcW1CyX9tkJj337bx7KeRoX1Scim65edYqOfUuqXI5xpu5VI8OiBD9/ket8nR1smTSkD6VLFiciKgbP3QcYNHk+WxZORT+fbp5ySiyFoh5fXXD36NEjChUqhIuLi7TNyMgIW1tbHj1KG1eRmprKn3/+ydGjR3n16hXJyckkJSWhq6t8kmfujjQzMyMiImd3O3///TerVq0iKCiIt2/fkpqaSmJiIvHx8ejp6QGgp6cnBXYApqamWFpaoq+vr7QtMjIyx3XLqTJlyqCpqalUt8BA1S1k/1VyuQKAWu5V6di2NQBl7Gy55x/AgSMnCmRw9zXT19Fh5/h+xCUmcSkgmIXepyllakg1B2uldMmpqfy8zgeFAn7p1OwLlVY90s/BanT8rg2Qfg7uP3o8X4K7vORSqSJ/Ll1MTGwsR44dZ8bc+SxdOC9LIFmQ6OvosGPiD8QlJnE5IJgFu09gaWpItbI2X7poeaZW5YrS3w7WpXB2sOW7IeM55XeVbxvW+cCe+U9MqFCP/8sQ2dPTEy8vL/r374+Xlxc+Pj7UqVMnS9dmoULKsa+GhgYKheKj+YeGhjJw4EAcHR1ZtmwZe/fuZfLkyQBKx1CVv6ptcrk8x3VTVcaUlKwDgXNbt7xiUKwoMpksy8D1qOgYjLP5ojA2NFSRPhojI0MpT01NTWyslLv+Spcqxasw5daxgiLxVTg6FqZK23QsTEmOeYM8IZGk8CjkKSnomJtkSmNC4sv8qZORfmE0ZRpZWjIi3rzDNFOLR0YymQalzYxwKmVB70buNHZ1xPP4RaU07wO7F5ExrBrWJd9a7SDDORiV9Zwy/vecyiztHIzOlD5GCm7en4PWpUsppbG2suR1Pp2D6Z8tFeU0MlK5j5GRIdEq0hsbKqfX09XFsmQJyjs5MnrEj8hkmhw9nrPxpZ/LqEg252HsW0yLFcl2P5lMg9LmxjhZFadX4xo0qVyOdUfThjm83y9znpFv3mVpzcsLhsWKoCmTERmtPHkiKvoNJmoco1lUvzClS1oQ+vK12vJUGw1Z7h+C5Kt7N+zt7UlJSeHWrVvStqioKB4/fkyZMmUAuH79Oo0aNaJt27Y4OTlhZWWlNCnhc927dw+FQsH48eNxdXXF1taW168//0OUk7oZGxsTHh6uFKjdv3//k4+lpaX1SUHl59LS0qJsGTuu30pfzkMul3P99h2cnVQvrVDeqSzXbysv/3Ht5m0pvZaWFk4O9oRk6tYNff4cC3PlAKqgiL54E5OGNZS2mTaqRdTFmwAokpOJuX4P04Y10xNoaGDyTU2iL97IlzJqFdKknFVxLgUGS9vkcgWXAp9QKZslKFSRKxQkZ7jxeB/YPQ2LYtWwrhjq66mz2B8lnYO3M52Dt+5QPptJReWdyiqdswBXb95SOgcdHewJCX2ulCbk2Yt8WYrnfRnKlrHnxq30McVyuZwbt25T3im7ejly46byGOTrN25SLpv07ykU8k8e/5tbWoU0KVe6BJcDHkvb5HIFlwOCqWT3aedh0r/noaWpIabFinA5IFh6/W18InceP8PFtlQ2OaiPVqFCONqV5spd//TyyeVcuXufimXVN+wiLiGBZy/D1BowqouGTCPXDyHdVxfc2djY0KhRIyZNmsTVq1fx9/fn559/xsLCgkaNGgFgbW3N33//zfXr13n06BGTJ08mPFx9d9HW1tYkJyezadMmQkJC8PHxYfv27Z+db07q5u7uTmRkJGvWrOHp06ds2bKF8+fPf/KxLC0tuXLlCq9evZK6hfNax7atOXj8FEdPneVJSCiLV64hISGR5o2+AWDW4mWs2bhFSt+hTSsuX7/JTu8DPA19xoatOwl4+Ih2rZpLaTq3+5Yzvn9z8NhJnj1/gffBI/x9+Rrftcyf7j5N/cIUc3GimIsTAIVtS1HMxQldqxIAOM4Yhcv6uVL6J6u3U9jWCqfZP6PvaIf1oG6U6NiCx79vkNI8XrIeK49OWPb8jiJOdlT4YyqF9PUI2bg3X+oE0POb6uz9+xb7L90h6GU4M3YeIz4xie9qpI1Z/cXrAL/vPyul9zzuh5//Y0LDowl6Gc7GU5c4dPkeraqlr3M3xtObf56+ZHavNsgVcsJj3xIe+5bklFRVRcgTHb9rw6FjJzn27zm4ZMW/52DjtHNw9qKlSudg+29bcuX6TXZ67+dpyDM2bN1B4MMgvmudPv61c/u2nPX9m4PHTkjnoN/lq7TNp3MQoMN3bTl87ATHT53mSUgIS1f8SUJCAs0ap1035i5cgueGTVL6dt+24cr1G+za68PTkFC8tmwj8OEj2rZuCUB8QgKeGzfxj38Ar16/JvDhQxYsWUZ4RCT16nx8TLK69Gzkzl7fG+z3u0XQi3BmbjtMfGIybWumDV35dcM+lvqkz3T2PHoBv/tBhIZFEfQiHK+TFzl06Q6tqqd1W2poaNC9YXXWHPbl7K1AHjx7za8b92FmUJRvXPNn1YCurZuw/9R5Dp39m8ehL5i3dgsJiUm0apD2vk5bvo4VW9M/68kpKQQGhxAYHEJKSgphkdEEBocQkqFVbqnXLq7/E8Dz1+HcDnjEuPkrkclkNK1TPV/q9EnEIsZq8dWNuQOYPXs2M2fOZNCgQSQnJ1O1alVWr14tTRMfPHgwISEheHh4oKenR6dOnWjcuDFv3rxRy/GdnJyYMGECa9asYdGiRVStWpVRo0Yxbty4z877Y3Wzt7dnypQprFq1ipUrV9K0aVP69evHzp07P+k4w4cPZ/LkyTRu3JikpCQCspktqE4N69YmJiaWDVt3pC20amfD3Km/SF1ir8PCkWX4UekK5Rz5dfQI1m3ZxtpNW7EsWYLpE8dia50+jrFuTXd+GjyArbu9WbZmHVaWJZk2fgwVy5fLfPg8YVClAjVPpX9pll8wEYAQr73c9piATgkz9P4N9ADig0O58u1Ayi+cgM2PvUgIfcmdgb8SfiJ9xvKLXUfQNjOm7JThaYsY37rP5db9SXqdf7PfmlcpR9TbOFYcOk/4m3c4WpqzYkhnqevqZVSs0v8qPimZWTuP8yr6DTpahbC1MGFmrzY0r5L2f3gd/Yazdx4C0GnueqVjrR3eNcu4vLzyTd3aRMfEsn7LdqLen4PTMp+D6V8iFco58cuYEazbvB1Pr7Rz8LdfVJyDQ35g6y5vlq9en3YOThhDRef8OQcBGtSrQ3RMDBs3byMqKgp7O1tm/TZFGsLwOixMqeXDuZwTE34exYZNW1jvtRnLkiWZ+st4bG3S/g+aMhkhoc84cWousbGxFC1WFEcHBxbPnYVNhrrntWZVnYl6G8fKg+cIj32HYykLVvzYFZN/u1dfRMYo/RB9fGISs7Yd4fW/56FNcVNm9m1Ls6rpYx/7NK1JfFIS07ce4k1cApXtrVjxY1d0tPLn67JJrWpEx75hzc79RETH4mBTisUTh0tr2L0Mj1SqU1hkNL3Gpi9GvOXAcbYcOE7l8mVZOXUMAK8jo5j8+1pi3rzDsFgRXJzKsHbmeIwK4HIoGesm5J6G4ksOtBK+Ws8DVK939l9W0rESh7Ty5+49P7VKDiDh+PqPJ/yP0W3al2eB+furHfnBsmxFnj749KEWBVlph3LEn9708YT/MXoNexJ169yXLobaGbnUz7O83/w+Otf7Fh2xUI0l+W/7KlvuBEEQBEH4DxLdq2ohgrtc2L9/P1OmTFH5WsmSJTl06FA+l0gQBEEQ/vvyc2LEli1b8PT0JCwsDCcnJyZNmqS01m1Ge/fuZcKECUrbtLW1uXMnvXdAoVCwdOlSdu3aRWxsLG5ubkydOhUbG5u8rIZKIrjLhYYNGyqtNZdR5iVGBEEQBEHIoXxa0uTw4cPMnj2badOm4eLiwsaNG/Hw8ODo0aOYmJio3KdIkSIcPZr+85aZxweuWbOGTZs2MWfOHEqVKsXvv/+Oh4cHhw8fRkcn/5Z1AhHc5UqRIkUoUiT7dZQEQRAEQciFfGq5W79+PZ06daJDh7Tf5J42bRpnz55lz549DBgwQOU+Ghoa2f5qk0KhwMvLi8GDB9O4cWMA5s2bR61atTh58iStWrXKm4pkQ3RuC4IgCIJQIGhoyHL9SEpK4u3bt0qPpKSkLMdISkri3r171KpVS9omk8moVasWN25kv15oXFwc33zzDfXr12fw4ME8ePBAei00NJSwsDClPIsWLYqLi8sH88wrIrgTBEEQBKFgkGnk+rFq1SqqVKmi9Fi1alWWQ0RFRZGampql+9XExCTbNW9tbW2ZNWsWK1asYP78+SgUCrp06cLLly8BCAsLk/LIaZ55SXTLCoIgCIJQIGh8xmzZgQMH0rdvX6Vt2tran1skACpXrkzlypWVnrds2ZLt27czcuRItRxDnURwJwiCIAhCwfAZixhra2vnKJgzMjJCU1OTiAjlhd8jIiIwNc3ZT1NqaWlRrlw5nj59CiCNxYuIiMDc3FwpTycnp5xWQW1Et6wgCIIgCP83tLW1cXZ2xs/PT9oml8vx8/NTap37kNTUVAIDA6WgrlSpUpiZmSnl+fbtW27dupXjPNVJtNwJgiAIglAw5NMixn379mXcuHFUqFCBSpUqsXHjRuLj42nfvj0AY8eOxcLCgtGj034xY/ny5bi6umJtbU1sbCyenp48f/6cjh07AmkzaXv16sXKlSuxtraWlkIxNzeXZs/mJxHcCYIgCIJQMOTTb8u2bNmSyMhIli5dSlhYGOXKlWPt2rVSt+yLFy+QZQg0Y2NjmTRpEmFhYRgYGODs7Mz27dspU6aMlOaHH34gPj6eyZMnExsbS5UqVVi7dm2+r3EHIrgTBEEQBKGA+JwJFZ+qR48e9OjRQ+VrmzYp/9bxxIkTmThx4gfz09DQYMSIEYwYMUJtZcwtEdwJgiAIglAw5NMvVHztRHAnCIIgCELBkI+/Lfs1E8GdIAiCIAgFgoZouVMLDYVCofjShRAEQRAEQUjYMS/X++p2HqvGkvy3iZY7IU/cfBD2pYugdq4OZiQcX/+li6F2uk37ckjL8UsXQ+1aJQfg+8+7L10MtatTXp9X96996WKolUW5KrxdMf5LF0PtigyZQ8z1k1+6GGpn4JaHS3uIlju1EO+iIAiCIAjCV0S03AmCIAiCUDDk0zp3XzsR3AmCIAiCUDDk4zp3XzMR3AmCIAiCUDCIMXdqIYI7QRAEQRAKBrHOnVqI4E4QBEEQhIJBtNyphQjuBEEQBEEoGMSECrUQwZ0gCIIgCAWDmFChFiK4EwRBEAShYBAtd2ohgjtBEARBEAoGMeZOLcS7KAiCIAiC8BURLXeCIAiCIBQMYsydWoh3MZcuXbqEo6MjsbGxH027d+9eqlatmg+lEgRBEIT/MA2N3D8EiWi5ywctW7akfv36X7oY/wkKhYJdWzw5dewA7969wbFcRfoPGUMJS6ts9/nn7k0O7NnK40cBREVGMOaXWVSrWe+z81Wn7X9dY+OpS4THvqOspTnjv29CRZuSKtOevBmA53E/QsKjSE6VY21mRM+G1WlTvQIAyampLD/4F773ggiNiKaorg7ujtaMaNsAc4Oi+VIf4zpVsRvtgYFbBXRLmnO1wxBe7T/14X3qVaf8gvEUKe9AQsgLHs5eSaiXt1Ia68HdsBvlgU5xM2Jv+3Nv5HRirtzJy6pkoVAo2LftT/466U3cuzeUcXKh58CJWJQsne0+AfeucczHi+BH94mJCmfo+IW4uX+jlCYhPo49m5Zy4/JZ3r6JwdS8JI1bdaVB8+/zukoA7D18nO3eB4mMjsHepjQjfuhN+bJlsk1/5sJFPLfu4uXrcCxLFGdQry7UrFpZej0yOoY/N27jys3bvH0Xh4uzEyN+6I1VyRL5UR3JzltBeF17QERcAg6mBoxtUIkKxY1Vpt3/zxOmnbiutE1bU4bfsLYAJKfKWen3D77Br3gW844iOlq4W5nxY21nzIro5Xld3tt1/BybD5wkIiYWh9KWjOnTCecyNirTPgp5zurdh/APesqL8Eh+6tmBri0bKqVJlctZs/sQR3yvEBkdi6mRAa3r16Bfu+ZoFLSgSIy5UwvxLuYDXV1dTExMvnQx/hP279nCkQO76T90DDMXrkZXV49Zk0eRlJSY7T6JCfFY25Wh36BRas1XXY5eu88C79MMbFGH7WP74mhpzuAVO4h4805legN9Xfo3q4nXqJ7sHt+PtjUqMmXLIS7cDwIgISkZ/5BXDGheix1j+7CofzuCX0cyYtWePK/Le5r6hYm9HcDd4dNylF7PphTV9q8i4uwlfKu25fGyjVRcNQPTJnWkNCU6tqDc/Ak8mPEHvtXb8ea2P+6HPNE2U/1FnVeOeG/k5KFt9Bw4kV/mbkRHR49Fvw0l+QPnSlJCAqVsytJjwPhs0+xYv5C7N/6m/8gZzFi2hyZturFlzVxuXj6XF9VQcsrXjz/WbaZPl/asXTSTMjalGTNtDlHRMSrT3/EP5LeFy2nVuAFrF82irnsVfpmziKAnIUBaAPzL7IU8f/WaWRNH47l4FhZmpoyaMpv4hIQ8r897xwNDWXT+DgPcndjS9RvKmhkwzOdvIuOy/1/paxfiWP8W0uNg32bSawkpqfi/jqZ/dUe2dPuGBa3cCY56y08HLuZHdQA44XeNJZv20r9DS7xmjcfBuhTD5ywnMuaNyvSJSclYmpswtGtbTAyLqUzjtf84e06c5+c+ndixcBLDurVl04ET7Dx2Ng9rkkui5U4tClxw99dff9G1a1eqVq2Ku7s7AwcO5OnTpwCEhobi6OjI8ePH6dmzJy4uLnz77bfcuHFD2v99F+j58+dp0aIFlStXxsPDg9evX0tpevbsycyZM5WOO2TIEMaPT78w+/j40L59eypXrkzt2rUZPXo0ERERuapT5m7ZZcuW0bZtW3x8fGjYsCFVqlThp59+4u3bt1IauVzOmjVraNKkCRUqVKBBgwasXLlSej0gIIBevXpRqVIl3N3dmTRpEu/epQcL48ePZ8iQIfz555/UqlWLqlWrsnz5clJSUpg7dy7Vq1enXr167NmjHBC8ePGCESNGULVqVapXr87gwYMJDQ3NVb0/lUKh4PC+XbTv3ItqNepibVuGoaN+JSoygit+57Pdr3LVmnTpOYDqtVS3juY2X3XZdOYy7Wu68F2NStiXMOXXzs3R1dbCx++2yvTVHKxp5OKIXXFTrMyM6N6gGg4lzbnxKO3/UFRPl1XDutDMrRw2FiZUsrVkQsem/BPykheRqr+s1S3s2F8ETlnCq30nc5TeekAX4h+Hcn/sXN76B/FkxRZe7jmG7Yg+UhrbkX0J8dxJ6Ma9vL3/iDtDppAal4BVnw55VIusFAoFJw9upXXH/lR2b4CVTVk8RvxGdGQY1y+dzXa/ilVq0777UNxqNMw2zUP/29T6pg1OFapial6S+k07YGXjQNCDu3lQE2U79x2mddNvaNmoATZWpRg92ANdHR0OnVIdWO4+cJTqbi50bdcGGytL+nfvRFk7W/YePg5A6POX3At4yOhB/SjnYE9py5KMHtSPxKQkTp33y/P6vLf5+kPaOdvwrbM1dibFmNjQFd1Cmuy7F5ztPhpoYKqvKz1M9HWl14rqaLGifR2ali2FjVFRKpYwZlwDF+6/juZFbFw+1Ai2HjrFdw1r0aZBTexKlWC8Rxd0tbU5cFb1+1re3prh3dvTtFZVtAup7oy7HfiYelUrUcetAiXNTGjk7oZ7pXLce/gkL6uSOzJZ7h+CpMC9G/Hx8fTt25c9e/awYcMGNDQ0GDp0KHK5XEqzePFiPDw88PHxwcbGhtGjR5OSkiK9npCQwLp165g3bx6bN2/mxYsXzJ0795PKkZKSwogRI9i/fz9//PEHz549Uwr+PtfTp085deoUf/75J6tWreLKlSusWbNGen3hwoWsWbOGIUOGcPjwYRYsWICpqSkAcXFxeHh4YGBgwO7du1myZAl///0306dPVzrGxYsXef36NZs3b2b8+PEsW7aMgQMHYmBgwM6dO+nSpQtTpkzh5cuXACQnJ+Ph4YG+vj5btmxh27ZtFC5cmP79+5OUlKS2umfn9avnREdFUNG1mrStsH4RyjiW54F/7r8A8yrfnEhOSeV+yEtqONpI22QyDWo42nA7+NlH91coFFwKCCb4dSRVymTfhfw2PhENjbTAryAyrOFK+GnlL6ewE74Y1XAFQENLCwM3Z8JP/Z2eQKEg/PTfGNaoTH4Jf/WMmKhwyru4S9sK6xfFzqECjwJUB+M5VcapEjevnCMq4jUKhQL/O1d4+fwpzq41PrfYH5ScnELgo8dUrVRB2iaTyajiUoF7AQ9U7nMv4AFVMqQHqF65kpQ+KTkZAG0tLaU8tQoV4vY/AequgkrJqXL8X0dTvbRZehk0NKhe2ow7LyOz3S8+OYVW647S0vMoow748Sjiw+Om3yYlo0Fa4JfXklNS8H8cQrUKTtI2mUxGtQpO3HkQlOt8K5W15erdAJ68eAVA4JNQbvk/opZr+c8us7opNDRy/RDSFbgxd82aNVN6PmvWLGrWrMnDhw8pXLgwAP369aNBgwYADB8+nFatWvHkyRPs7e2BtCBl2rRplC6dNkame/furFix4pPK8f336eNgrKys+OWXX/j+++959+4d+vr6ua2eRKFQMHv2bIoUKQLAt99+i5+fn9SC5+XlxeTJk2nXrh0ApUuXllr/Dh48SFJSEnPnzpXek8mTJzNo0CDGjBkjBYGGhob8+uuvyGQy7OzsWLt2LQkJCQwaNAiAgQMHsmbNGq5du0arVq04fPgwcrmcmTNnSuMwZs+eTbVq1bh8+TJ16tQhL0VHpV2QDQyNlLYbGBoRHZ39xfpL5ZsTUe/iSJUrMCmmfM6YFNXn8avsW4LfxCfQ5Nc/SE5JRSbTYGKnptR0slWZNjE5hSX7z9CiSnmK6OmotfzqomNhSuKrcKVtia/C0TIoikxXBy0jA2SFCpH4OiJTmgj0He3yrZwx0WnHL2ag3BVczNCE2OhwVbvkWLcfxuG1YgZj+jdHU7MQGhoa9B4yCUfnKp+V78fEvHlDqlyOkaGB0nZjAwOehj5XuU9kdDTGmdIbGRgQGRUNgHWpkliYmbJ603bGDPFAV0eXnQcOExYRSURUVJ7UI7Po+ERSFQpMCiuf8yaFdQmOfKtyHxujIkxu4oaDaTHeJqaw6foD+u48x64ejbEomnVMXWJKKksv3KOZYymK5ENwFx37llS5HONMY2eNDYry5PnLXOfb+9umvItPoNPo6chkGsjlCgZ3akPzOtU/t8jqJ8bcqUWBC+6Cg4NZunQpt27dIioqCoVCAaR1F74P3hwdHaX0ZmZpd22RkZHS63p6elJgB2Bubv7JXap3795l+fLl+Pv7ExMTo1SOMmWyH4ScU5aWllJgl7mMQUFBJCUlUaOG6jv6R48e4ejoKAV2AG5ubsjlch4/fiwFd2XKlEGWoana1NQUBwcH6bmmpiaGhobScf39/Xn69Clubm5Kx0tMTJS6xtXp/JnjrPljvvR8/JR5aj/Gf5W+jg47x/cjLjGJSwHBLPQ+TSlTQ6o5WCulS05N5ed1PigU8EunZtnkJmTn4rnDeP2ZPkRjxC9L8+xYpw5t51HgHX6cuBgTsxIE/nOdzavnYGhsptRS+F9QqFAhZowbydzla2jVYwCa/7YEuru5fOmifVClEiZUKmGS4bkx3286yZ67jxlSU7kVKzlVzvjDl1EoFEz4xjWfS6peJy9e56jvFaYP64NdqRIEPgllkdceaWJFgSKCO7UocMHdoEGDsLS0ZMaMGZibmyOXy2ndujXJ/3YDAGhl6Ap438KUsdu2UKZxBxoaGlJwpuo5oNSt+77bs06dOixYsAAjIyNevHiBh4eHUjk+R+YyAlKZdHTU0/qi6n1Qte39excXF4ezszMLFizIkpexsfoHtVd1r4ODY/oFNTk5res3JjoKI2NTaXtMdBQ2trkPqA2NjPMk35ww0i+MpkyDiFjlyRMRb95hWiz7FmCZTIPSZmktjU6lLHj8KgLP4xeVgrv3gd2LyBjWDO9WYFvtIK2VTsfCVGmbjoUpyTFvkCckkhQehTwlBR1zk0xpTEh8+XktZh/iUr0+U8qmdz+m/Pv5jo2JxNA4vbsvNjoCK1vHLPvnVFJiAnu3LGfouIW4VK0LgJVNWUIeB3Jsn1eeBncGRYuiKZNlmTwRGRODsZGhyn2MDQ2JzJQ+KlN6xzJ2rFsym7fv4khJScHQoBgDf56EY5n8aWk11NNBU0ODiEyTJyLiEjDVz9lnQUtThqOZAaHRyp/P5FQ5449c5sWbOP5sXydfWu0ADIsVQVMmyzJ5IjLmTbaTJXJi6RZverdtStNaab0/ZUpb8iIsko37jxe84E5QiwIVIkdFRfH48WMGDx5MzZo1sbe3JyZG/QPEjY2NCQsLk56npqby4EH62JOgoCCio6MZM2YMVatWxd7ePteTKXLDxsYGXV1dLl5UPUPL3t6egIAA4uLSB/hev34dmUyGra3qrruccHZ25smTJ5iYmGBtba30KFpU/Uts6BUuTPGSpaRHqdK2GBqZcOfmVSlNXNw7Hgb8g4NThQ/k9GHmFiXzJN+c0CqkSTmr4lwKDJa2yeUKLgU+oZKNZY7zkSsUJGe4AXkf2D0Ni2LVsK4Y6uffMg25EX3xJiYNlb9ETBvVIuriTQAUycnEXL+HacOa6Qk0NDD5pibRF2+QV/T09LEoUVp6lLSyw8DIlPu3L0tp4uPeEvTgLvaOlXJ9nNTUFFJTUpBlapWQyWTI5Yps9lIPLa1ClLW35drte9I2uVzO9dv3cHZ0ULmPs6MD128rj0e9cvOOyvRF9AtjaFCMkOcvCHgURJ3qedvN/J6Wpgwnc0OuhKRfy+UKBVdCwqiYzVIomaXKFTyMiFUKBt8HdiHRb1nZrg6G+XjTpFWoEE62Vly5mz5uUS6Xc/VeABUdch80JyQlZ1nyRDMfzr3cyM8xd1u2bKFhw4ZUrFiRjh07cvt29uNqd+7cSbdu3ahWrRrVqlWjT58+WdKPHz8eR0dHpYeHh8cnl0sdClRwZ2BggKGhITt27ODJkyf4+fkxZ84ctR+nRo0anDt3jrNnz/Lo0SOmTp2qtBhxyZIl0dLSYtOmTYSEhHDq1KlPHrP3OXR0dPjhhx+YP38+Pj4+PH36lJs3b7Jr1y4A2rRpg7a2NuPHjycwMJCLFy8yffp02rZtK3XJ5kabNm0wMjJi8ODBXL16lZCQEC5dusSMGTOkSRd5SUNDg5ZtO+K9YyNXL/nyNPgRfyyagZGxCdVq1pXSTZ84gqMH0mf5JsTHERz0gOCgtAD99asXBAc9IPz1y0/KN6/0/KY6e/++xf5Ldwh6Gc6MnceIT0ziuxppwcIvXgf4ff9ZKb3ncT/8/B8TGh5N0MtwNp66xKHL92hVLX2duzGe3vzz9CWze7VBrpATHvuW8Ni3JKek5nl9IG0plGIuThRzSRv4Xdi2FMVcnNC1SlvjzHHGKFzWp09ierJ6O4VtrXCa/TP6jnZYD+pGiY4tePz7BinN4yXrsfLohGXP7yjiZEeFP6ZSSF+PkI1786VOkHauNG7djYO71nLz8jlCnzxg7e+TMTQ2w829gZRu/uSBnDq8XXqeEB/H08cBPH2c9qUc/uoZTx8HEBH2AgC9wkVwdK7Czo1L8L97lbBXz/A9vZ+/zx7CrYbyenh5oVPblhw8cYYjp/8iOOQZC/9cR3xCAi0bpc0wn7lkBas2pdfn+zbNuXTjNtt9DvEk9Bnrtu0m4FEQ7Vs2ldKcuXCRG3f+4fnLV5y/dJXRU2ZTp3pVqlfOfRD8qXq4lcH7bjAH/nnC48hYZp++SXxyKt+WT2vhnnzsKssupAe1qy/54/fkFaEx77j/OppJx67yMjaO75xtgLTAbtzhS9x/Fc2MZtVIVSgIf5dA+LsEklPlqoqgdt1aNWLfmQscPHeRx89eMnfdduITE6UWtikrNvLHtn1S+uSUFAKDQwgMDiE5JZWwqGgCg0MIeZm+QkRdtwps8DmG7/W7PA+L4MyVm2w9fJoG1QpgN7qGLPePT3D48GFmz57N0KFD8fb2xsnJCQ8Pj2wbci5dukSrVq3w8vJi+/btlChRgn79+vHq1SuldHXr1sXX11d6LFq0KNdvxecoUN2yMpmMxYsXM2PGDFq3bo2trS2//vorPXv2VOtxOnTogL+/P+PGjUNTU5M+ffrg7p7eLWJsbMycOXNYtGgRmzZtwtnZmXHjxjF48GC1luNDhgwZgqamJkuXLuX169eYmZnRpUsXIG1MoaenJzNnzuT7779HT0+Ppk2bfvZsXj09PTZv3syCBQsYNmwY7969w8LCgpo1ayqND8xL33boTmJCAquXzSPu3Vscy1dkwm8L0dZOv3t+9fIZb2KjpeePHvjz28Th0nOvtcsAqN+oBUN++iXH+eaV5lXKEfU2jhWHzhP+5h2OluasGNJZmmTxMioWWYa7zvikZGbtPM6r6DfoaBXC1sKEmb3a0LxKOQBeR7/h7J2HAHSau17pWGuHd80yLi8vGFSpQM1Tm6Tn5RdMBCDEay+3PSagU8IMPav0xWzjg0O58u1Ayi+cgM2PvUgIfcmdgb8SfsJXSvNi1xG0zYwpO2V42iLGt+5zuXV/kl7nX6s5QIt2vUlKiGfjyhnEvXuDQzlXfpq0HK0M50rYy1DeZjgHgx/9w/xJA6TnO9anXdBrfdMGj3/XAhw4ejZ7Ni9jzeJfePc2FhOzErTrNpQGzfJ+EeNGdWoSHRPLum27iYyKpoytNQumjJcmTbwKi0Ajw5djRaeyTB41lLVbdrFm8w5KlSzOzPGjsLNOn7EdERXN8nWbiYqJwcTIiGYN6tC7U/s8r0tGTcuWIio+kT8v3iciLpGypgYs+66WtLzJyzfxSi1WbxKSmHHqBhFxiRTT0cLJ3JB1nepjZ5LW5Rn2Lp5zQWk3hV23nlY61qoOdahayoy81qRmFaJi37B690Eiot9Q1tqS38cPlbplX4VHKV0vwqJi6DEhvRFk88FTbD54CrdyDvw5eSQAY/p0YtXOg8xbv52omLeYGhnQrlEd+ndokef1+WT5NOt1/fr1dOrUiQ4d0pZamjZtGmfPnmXPnj0MGDAgS/qFCxcqPZ8xYwbHjh3Dz8+P7777Ttqura0tzQX4kjQUmQefCYIa3HwQ9vFE/zGuDmYkHF//8YT/MbpN+3JIK/fjyQqqVskB+P6jeqHo/7I65fV5df/aly6GWlmUq8LbFepbaqqgKDJkDjHXc7YW5H+JgVvjPMs77kLuF2MvVK1NlmW7tLW10dbWVtqWlJSEq6srS5cupXHj9LqMGzeO2NhYpTVls/P27Vtq1arF77//zjffpLW+jx8/npMnT6KlpUWxYsWoUaMGI0eOxMjI6CO5qV+BarkTBEEQBOH/1+esV7dq1SqWL1+utG3YsGH8+OOPStuioqJITU3N8stRJiYmBAXlbD3BBQsWYG5uTq1ataRtdevWpUmTJpQqVYqQkBAWLVrEDz/8wI4dO9DU1MxlrXJHBHdq0L9/f65dU30nPXDgQGldOUEQBEEQPuAzlkIZOHAgffv2VdqWudVOHVavXs3hw4fx8vJSWt2iVatW0t/vJ1Q0btyYy5cvU7NmTVVZ5RkR3KnBzJkzScjm9xQNDAxUbhcEQRAEQZniM4I7VV2wqhgZGaGpqZll8kRERMRHJyV6enqyevVq1q9fj5OT0wfTWllZYWRkxJMnT0Rw919kYWHxpYsgCIIgCP99+TChQltbG2dnZ/z8/KQxd3K5HD8/P3r06JHtfmvWrOHPP//E09OTihUrfvQ4L1++JDo6+otMsBDBnSAIgiAI/1f69u3LuHHjqFChApUqVWLjxo3Ex8fTvn3ajO+xY8diYWHB6NGjgbSu2KVLl7Jw4UIsLS2ltXILFy6Mvr4+7969Y/ny5TRr1gxTU1NCQkKYP38+1tbW1K2b90tuZSaCO0EQBEEQCoTP6Zb9FC1btiQyMpKlS5cSFhZGuXLlWLt2rdQt++LFC6Wf79y+fTvJyckMHz5cKZ/3EzY0NTUJDAzEx8eHN2/eYG5uTu3atRkxYkSejPv7GBHcCYIgCIJQMOTTOncAPXr0yLYbdtOmTUrPT58+rTLde7q6unh6eqqtbJ9LBHeCIAiCIBQM+dRy97UTwZ0gCIIgCAXC56xzJ6QTwZ0gCIIgCAWDaLlTCxHcCYIgCIJQICgQLXfqIII7QRAEQRAKhPyaLfu1E8GdIAiCIAgFgwju1EK8i4IgCIIgCF8R0XInCIIgCEKBIGbLqoeGQqFQfOlCCIIgCIIgRN4+n+t9jSvl/898FVSi5U7IE5/zAS2ojCvV5VngnS9dDLWzLFsR33/efeliqF2d8voc0nL80sVQu1bJATx5GPCli6FW1mUceeF/80sXQ+1KOLny5vKhL10MtStavVXeZS5a7tRCBHeCIAiCIBQIYraseojgThAEQRCEAkGsc6ceIrgTBEEQBKFAEC136iGCO0EQBEEQCgYx5k4tRHAnCIIgCEKBoBDL76qFeBcFQRAEQRC+IqLlThAEQRCEAkEsYqweIrgTBEEQBKFAEBMq1EMEd4IgCIIgFAhiKRT1EMGdIAiCIAgFgmi5Uw8R3AmCIAiCUCCIMXfqIYI7QRAEQRAKBNEtqx4Frv2zZ8+ezJw5M0dp9+7dS9WqVfO4ROrh6OjIyZMnv3QxBEEQBKHAUmjIcv0Q0n31LXfLli3j5MmT7Nu3L8f7ODo68scff9C4cWO1lcPX1xcDAwO15fe12n30NFv2HyMyOoYy1laM6tcVZwc7lWmDQp6xZsc+/IOe8DIsghF9OtOlVZNs8/byPszKrXvp1LIxP/XtkldVUMnn0BF27N1PZFQ09rbW/DjQg3JlHbJNf9b3b9Zv3s7L12GUKlmCH/r0oEZVN6U0T0JCWb1hM7fv/kNqairWVqWYOmEMFuZmeV0diUKhYN+2P/nrpDdx795QxsmFngMnYlGydLb7BNy7xjEfL4If3ScmKpyh4xfi5v6NUpqE+Dj2bFrKjctnefsmBlPzkjRu1ZUGzb/P0/oY16mK3WgPDNwqoFvSnKsdhvBq/6kP71OvOuUXjKdIeQcSQl7wcPZKQr28ldJYD+6G3SgPdIqbEXvbn3sjpxNz5U5eViWL/QcPsWuPN5FRUdjZ2jJ00ACcHMtmm/6v875s2LyFV69eY1myJP379qZ6tfSbaa8tWzn713nCwsLRKlQIhzJl6NOrB+WcHPOjOhLvQ8fY7nOAyKhoythYM3xAX8qVLZNt+rMX/PDcsvPfz1ZxBvbqTo2qlaXX4+ITWO21Fd9LV4h984YS5ua0b92Cti2yv7bkhZ0nfNl0+AwRMW9wsCrJz73aUcHeWmVa7zN+HPK9yqPQlwCUsy3FkI4tpfQpKams2H2YC7fu8+x1JEUK61LduSw/dm6FmVHB+l4SLXfqIULdfGJmZoa2tvaXLkaBdvLCZZZu3IlHxzZsmDsZB2srfpq5hMiYWJXpExKTKGluxpDuHTAx/PAF6p+Hj/E58RdlrEvlRdE/6Mz5C6xcu5FeXTuyask87G1tGDd5BlHRMSrT373vz4z5S2jRtBGrf59P7RrVmDxzHo+fPJXSPHvxkhHjfqV0KUsWzZrKmmUL6dHl+3w/x454b+TkoW30HDiRX+ZuREdHj0W/DSU5KTHbfZISEihlU5YeA8Znm2bH+oXcvfE3/UfOYMayPTRp040ta+Zy8/K5vKiGRFO/MLG3A7g7fFqO0uvZlKLa/lVEnL2Eb9W2PF62kYqrZmDapI6UpkTHFpSbP4EHM/7At3o73tz2x/2QJ9pmxnlVjSzO/nWeVWs86dGtCyuWLsbO1oaJk6YQFR2tMv29f+4za94CmjdtwsqlS6hV052pM2bxOPiJlKaUpSXDBg1k9R/LWDR/LhYW5kyYNIXoGNXndV44ff5vVqzzok/nDqxZNAd7W2t+njrrA5+tAH5bsJRWjb9h7eI51HGvxq+z5xOU4bO1Yp0Xl6/f5JefhrFx+SK+/7Ylv69ex4VLV/OrWhy/eIPFW/fxQ7tmbJ4+irKlS/LjvNVExrxRmf7a/Uc0q+nGnxOHsH7KcCyMDRk2bxWvI6MBSEhKwj/4Gf2/a8rmGaOYP6IPT168ZtRiz3yrU0G0ZcsWGjZsSMWKFenYsSO3b9/+YPojR47QvHlzKlasSJs2bTh3Tvl6pFAo+P3336lTpw6VKlWiT58+BAcH52ENsvdFg7u4uDjGjh1L5cqVqVOnDuvWrVN6PSkpiblz51K3bl1cXV3p2LEjly5dypLPyZMnadq0KRUrVsTDw4MXL14Aad22y5cvx9/fH0dHRxwdHdm7d+8Hy9SwYUMAhg4diqOjo/QcYOvWrTRu3JgKFSrQrFkzfHx8clzXjN2yoaGhODo6cvz4cXr27ImLiwvffvstN27cUNrn2rVr0uvVqlXDw8ODmH8vnElJScyYMYOaNWtSsWJFunbtqnRiXrp0CUdHR86fP893331HpUqV6NWrFxEREZw7d44WLVrg5ubG6NGjiY+Pl/aTy+WsWrWKhg0bUqlSJb799luOHj2a43p+jm0HT/Bto7q0/qYOtlYlGTugBzra2hw87asyffkytvzYqyNNaldHSyv7Rui4+ASmLl3L+EG9KKpfOK+Kn61dPgdo2awxLRo3xKa0FT8NGYCOjg5HTpxWmX7v/sNUd3OlS/u2WFuVol+PrjjY2+Jz8IiUZt2mrVSv4sbAvj1xsLfDskRxartXw+gjQa46KRQKTh7cSuuO/ans3gArm7J4jPiN6Mgwrl86m+1+FavUpn33objVaJhtmof+t6n1TRucKlTF1Lwk9Zt2wMrGgaAHd/OgJunCjv1F4JQlvNqXsyEU1gO6EP84lPtj5/LWP4gnK7bwcs8xbEf0kdLYjuxLiOdOQjfu5e39R9wZMoXUuASs+nTIo1pktcd7Hy2aN6VZk8ZYly7NiGFD0NHV4dhx1fX02X+AalXc6NShPaVLW9GnZw/K2Nux/+AhKU3DBvVxq+xKiRLFsbEuzcAfPIiLi+Px4+B8qhXs2neIVk0b0aLxN9iULsWowf3R1dHm8MkzKtPvOXDk38/Wt1hblcKje2cc7GzxPnRMSnPXP4DmDetTuaIzJSzMadOsMWVsrbn/4GF+VYstR87xXYMafFuvOnaWxZnQ93t0dbTY/9dllelnDOlBx8a1cbS2xKakBb/274xCruDyPw8AKFJYjxXjB9HE3RWbEuZULGPD2N7tuf84lJfhUflWr5zIr27Zw4cPM3v2bIYOHYq3tzdOTk54eHgQERGhMv3169cZPXo033//PT4+PjRq1IihQ4cSGBgopVmzZg2bNm1i6tSp7Ny5Ez09PTw8PEhMzP5mN6980eBu3rx5XLlyhRUrVuDp6cnly5e5d++e9Ppvv/3GjRs3WLx4Mfv376d58+b0799fKRJOSEhg5cqVzJ07l23bthEbG8tPP/0EQMuWLenXrx8ODg74+vri6+tLy5YtP1im3bt3AzB79mx8fX2l5ydOnGDWrFn07duXAwcO0KVLFyZOnMjFixdzXf/Fixfj4eGBj48PNjY2jB49mpSUFADu379Pnz59sLe3Z8eOHWzdupVvvvmG1NRU6b07duwYc+bMwdvbG2tra/r37090pjvx5cuXM2nSJLZv387Lly8ZOXIkXl5eLFy4kNWrV+Pr68umTZuk9KtWrcLHx4dp06Zx6NAh+vTpw88//8zly6ovKuqSnJxCQNATqlUqL22TyWRUq1SOu4FBn5X3As8t1HKrSPUMeeeX5ORkAh8GUcWlkrRNJpNRxbUi/wQEqNznH/9A3FwrKW2rVtmVe/5pFxG5XM7Fq9exsizB2MnTad+jH0NGj8fXL2//R5mFv3pGTFQ45V3cpW2F9Yti51CBRwEfvgP+mDJOlbh55RxREa9RKBT437nCy+dPcXat8bnFVivDGq6En/ZT2hZ2whejGq4AaGhpYeDmTPipv9MTKBSEn/4bwxqVyQ/Jyck8ePiQyq6u0jaZTEZlVxfu+/ur3Ocff38qu7oobavq5pZt+uTkZA4fOYa+vj52trZqK/uHJCenEPAoiCouFaVtMpmMKi4V+Sfggcp97gUEUsWlgtK26pVd+Ccg/Qu6gpMjFy5fJSwiEoVCwY3bdwl59oJqlStlzi5PJKek4B8cirtzepe5TCajunNZbj8MzlEeCYlJpKSmYvCBm9m3cQloaGhQRF/vc4usVgo0cv34FOvXr6dTp0506NCBMmXKMG3aNHR1ddmzZ4/K9F5eXtStW5f+/ftjb2/PyJEjKV++PJs3b04rt0KBl5cXgwcPpnHjxjg5OTFv3jxev379Rcbbf7Exd+/evWP37t3Mnz+fmjVrAjBnzhzq168PwPPnz9m7dy9nzpzBwsICAA8PD86fP8/evXsZNWoUkHZRmTx5Mi4uLlIeLVu25Pbt21SqVInChQujqamJmVnOxiEZG6d1lRQrVkxpH09PT9q1a0f37t0BsLW15ebNm6xbt44aNXL3hdOvXz8aNGgAwPDhw2nVqhVPnjzB3t6etWvXUqFCBaZOnSqld3BIG6MVFxfH9u3bmT17tvR+TZ8+nQsXLrB792769+8v7TNy5EiqVKkCwPfff8/ChQs5efIkVlZWADRr1oxLly4xYMAAkpKSWLVqFevXr6dy5bQvHisrK65du8aOHTuoXr16ruqZE9Fv3pIql2NsUExpu7FBMZ48e5nrfE9cuExA0FPWzfn1c4uYKzGxb5DL5RhlGtdiZGjI09BnKveJjI7GyNAwU3oDqQstOiaG+PgEtu32oW+PLgzo04PL124yZfZ8Fs2ciktF57yoShYx0Wl3uMUMlLsXixmaEBsd/ll5d/thHF4rZjCmf3M0NQuhoaFB7yGTcHSu8ln5qpuOhSmJr5TrmvgqHC2Dosh0ddAyMkBWqBCJryMypYlA31H1WFJ1i42NTTsHs5xThoSEqD4Ho6KynoOGhoZERim38ly8fIVZc+eTmJiIsbERc2b8hkGmz3Beifm3XsaGmT9bBjwNfa5yn8joaIxVfLYio9K7cYcP6MvCP1bTsd9gNDU1kWloMGboAFyc8+fmMPrNu3+vhUWVthsXK0rw89c5ymPZjoOYGhlQ3Vn1mMrEpGSW7ThIsxqVKaKn+9llVqf8mBiRlJTEvXv3GDhwoLRNJpNRq1atLD1o7928eZM+ffoobatTp45Sj1xYWBi1atWSXi9atCguLi7cuHGDVq1aqb8iH/DFgruQkBCSk5OloAzSLh62/971BQYGkpqaSvPmzZX2S0pKwjDDh7NQoUJUrJh+52Zvb0+xYsV49OgRlSqp704rKCiIzp07K21zc3PDy8sr13k6OqYPPH4fSEZGRmJvb8/9+/ez1P29p0+fkpycjJtb+gB7LS0tKlWqxKNHj7I9homJCXp6elJgB2BqasqdO2kDu588eUJ8fDz9+vVTyiM5OZly5crlspZfzqvwSBav38bSSaPQ0db60sVRG7lcAUAt92p0/K4NAGXsbLnnH8D+o8fzLLi7eO4wXn+mz2Qf8cvSPDkOwKlD23kUeIcfJy7GxKwEgf9cZ/PqORgamym1FApflkuliqxctoTY2FgOHz3OjDlzWbpoQZbA8L9k78Gj/BPwgFm/jMXC3JRb9+6zZNU6TIyNqOqaP613n2PDgVMcv3iDVROHqrzupaSkMn65FwqFgvF983aCUm58zoSKpKQkkpKSlLZpa2tnGYscFRVFamoqJiYmSttNTEwIClLdUxQeHo6pqWmW9OHhaTd3YWFh0rbs0uSnAjtbNi4uDk1NTfbs2YOmpqbSa4UL5/+4qbygpZX+wdP4d+FGuVwOgK6ueu6mChVK/xdraGgoPX+/7f0x4+LigLSu2fetpe/l9UB9w6JF0JTJskyeiIyJ/ehkiez4Bz0hKuYNfcZOl7alyuXcvP+APUdPc27rn2hq5u1dokGxoshkMqKilAd4R0VHY2xkqHIfY0PDLAPdo6JjpC9Mg2JF0dTUxLq08uQQaytL7vyjuttMHVyq12dK2fQurZTkZABiYyIxNE5v5Y6NjsDKNvczJpMSE9i7ZTlDxy3EpWpdAKxsyhLyOJBj+7wKVHCX+CocHQvlC76OhSnJMW+QJySSFB6FPCUFHXOTTGlMSHyZPxf8YsWKpZ2DWc6p7M9BI6Os52B0dDTGRkZK2/R0dbEsWRLLkiUp5+REnx8GcvT4Cbp26qjGGqhm8G+9IqMzf7ZiPvjZilTx2TL+t2U9MTGJtZu3MX3CGGr+Ozvd3saah0HB7PA5mC/BnWFR/X+vhcqTJyJj32BiWDSbvdJsOnSGDQdPsWLcYBxKl8zyelpgt5GX4ZGsnDCkwLXawectYrxq1SqWL1+utG3YsGH8+OOPn1us/5wvNubOysoKLS0tbt26JW2LiYmRxtOVK1eO1NRUIiMjsba2Vnpk7C5NSUnh7t30QdZBQUHExsZib28PpAVQ74OXnNLS0pLGtr1nZ2fH9evXlbZdv36dMmWyn3L/ORwdHfHz81P5WunSpdHS0lIqT3JyMnfu3Pms8tjb26Otrc3z58+zvOclSpTIdb45oaVVCEc7a67euS9tk8vlXL3jT4Wyueu+qlqxHJsXTmPj/CnSo5y9Dc3quLNx/pQ8D+wg7VwqW8aO67fTl72Qy+Vcv3WH8o6qA6DyTmW5fkt5mYyrN2/h7FRWytPRwZ6QTF1PIc9eYJHD4Qe5oaenj0WJ0tKjpJUdBkam3L+dPtYvPu4tQQ/uYu+Y+y/B1NQUUlNSkGXqnpHJZFKrZUERffEmJg2Vh2WYNqpF1MWbACiSk4m5fg/ThjXTE2hoYPJNTaIvqu7+UTctLS0cypTh5s30a61cLufmzduUc3JSuU95Jydu3FIeN3n9xs1s07+nkCtI/jfoz2taWoVwtM/62bp2+y7lHVUvM+TsWJbrt5Un5Vy9eYfy/y4Jk5KaQkpKKrJMAYampgyFIn/OPa1ChXCyKSVNhoC0el2594BKZWyy3W/jwdOs3XeCZT8PoLydVZbX3wd2T1+Gs2L8YAyL6udF8T+bQqGR68fAgQO5du2a0iNj1+t7RkZGaGpqZpk8ERERkaV17j1TU9MsLXAZ07+PSz4lz7z0xYI7fX19OnTowPz58/Hz8yMwMJDx48dLLVi2tra0adOGsWPHcvz4cUJCQrh9+zarVq3i7NmzUj5aWlpMnz6dW7ducffuXSZMmICrq6vUJWtpaUloaCj3798nMjIyS5OtKpaWlvj5+REWFibNTu3fvz/e3t5s3bqV4OBg1q9fz4kTJ7J0YarLgAEDuHPnDlOnTsXf359Hjx6xdetWIiMjKVy4MF27dmXevHn89ddfPHz4kEmTJpGQkMD33+e+mb1IkSL069eP2bNn4+3tzdOnT7l37x6bNm3C29v74xl8pq6tm7D/1F8cOnuB4NDnzFuzmYTERFp/UxuAacs8WbElfbBrcnIKgY+fEvj4KSkpKYRFRBP4+CkhL14BoK+ni31pS6WHro42xYoWwb60ZZ7X572O37Xh0LGTHDt1lichoSxZsYaEhESaN05b2232oqWs2bhFSt/+25ZcuX6Tnd77eRryjA1bdxD4MIjvWreQ0nRu35azvn9z8NgJnj1/gffBI/hdvkrbls3yrV4aGho0bt2Ng7vWcvPyOUKfPGDt75MxNDbDzb2BlG7+5IGcOrxdep4QH8fTxwE8fZw2oST81TOePg4gIixtlrte4SI4Oldh58Yl+N+9StirZ/ie3s/fZw/hVkN5PTx109QvTDEXJ4q5pAUxhW1LUczFCV2rtJsbxxmjcFk/V0r/ZPV2Ctta4TT7Z/Qd7bAe1I0SHVvw+PcNUprHS9Zj5dEJy57fUcTJjgp/TKWQvh4hGz88c1+dOrRry+Fjxzl+8hRPn4aw9I+VJCQk0KxJIwDmLVyM54aNUvrvvm3D1WvX2b3Xm6choXht2Urgw4d82zpt3FB8QgLrNnpx39+fV69fE/jgIQuX/E54RAT16tRRWYa80LFtKw4eP83R0+d4EhLK4j/XkpCQSIvGDQCYtXg5q722pr8PbVpw+fotdvgc4EnoM9Zv20XAo0e0a5X2udEvXBiXCuVZuWEzN+7c48Wr1xw5dZZjZ/6ibo1q+Vav7i3q43P2IgfPX+Hxs1fM3rCb+MQk2tRLG/c8+c+tLN9xUEq/4eAp/txzhMk/dKaEqTHh0bGER8cSl5A2SzMlJZWxyzZw/3Ho/9i767Co0jaAwz+QUqRDaRQRVERBzDV2MdbV1bW7uzsQbDHXbuz+7O7cXVk7MQDXRAykkY7h+4N1dAQMGBiGfe/r4tqdc95zeA5HhmfeeA7eAzuTJpFI26T8u4ivoEhHNcdfGhoaFC9eXOYrq1EnDQ0NKlSoINOBIpFIuHz5snS++ecqV66caQHlpUuXqPzvQiVLS0tMTExkzhkbG8vdu3ezPWdeUuiw7Lhx44iPj2fgwIFoa2vTs2dPYmNjpftnz57NqlWrmDNnDu/evUNfX5/KlStLFyFAxvBl3759GT16NCEhIbi5uck84eLnn3/mzJkzdOvWjZiYGGbPnk2rVq2+GNf48eOZM2cOe/bsoUSJEpw/f54GDRrg6enJhg0bmDVrFhYWFsyaNYvq1fNmiKhUqVJs2LCBhQsX0rZtW7S0tHB2dubXX38FYMyYMaSnpzNu3Dji4uJwcnJi3bp1uS6UPGLECAwNDfHx8SE4OBgdHR3Kly/PgAED5HFZX9Tgh2pExsSybtchwqNisLe1YpHXCOmE6ZCwcJlP1GGRUXQfN136eseRU+w4cgqX8mVZOW1cnsf7rX6q8wNR0TFs3L6TyMgo7ErbMneal3To6F1omEwvlVM5R7zGDGfDtp2s37IDC3MzpnuNo5TNx8LAdWpWZ+SgvuzYc4DlazZiZWHOtAljqFghf+dG/tKyO8mJCWxe5U183Hvsy1Vm5KTlqGtoStuEvg0mNiZK+vr5k4f8Pqmf9PWujQsBqPVTM3r/W1+u/+jZ7Nu2jLWLvIiLjcHIxIyWnQbz4895O0dIr4oTNc99XD1efr4nAC+37Mev9wQ0zUwoavWxFzvheTDXm/en/IIJ2A7tRmLwW+71n0jYmY/le97sOYGGiSFlpwzLKGJ8159rv/Yh+V3WJRfywo916xAdHc2WbTuIjIykdOnSzJw+FYN/h1nfhYZKP1gDVChfjgljR7Np63Y2bt6KuYU5Uyd6Uso2oyhuEVVVXr4M5sy588REx6Cjq4uDfRkWzpuDrU32Bazlzb1OLaJiYti4Y3dGEeNStsybMkG6aCIkLBwV1U9/txyYNHoo67ftYt3WnViYl8R7wlhKfxLz5DHDWbtlBzMXLiMmNpYSJib06dKB5o3zr4hxoxouRL6PZfW+k4RHx1DW2oJlY/th9O8ii7fhkTLvhfvOXSIlNY3xSzfLnKdvy0b0b9WYd5HR/HUroxJFp4kLZNqs9hyEW7m8GYHKifwqYtyzZ0/Gjx+Pk5MTzs7ObN68mYSEBGl+MG7cOEqUKMHo0aMB6NatG127dmXDhg3Uq1eP48ePc//+faZPz/gbpKKiQrdu3Vi1ahU2NjZYWlqyZMkSTE1N5fpAhG+lkp5ffc3Cf0qE30VFhyB3hs51ePUof58qkB8sylbE92GcosOQu9rltTmmnr9PS8gPTVMCefE46zI6ysqmjANvAu4oOgy5M3OszPtrx77eUMnoVMu7lZ+BT17m+FgHu8zD0V+ybds21q9fT2hoKOXKlWPixInSRZ5du3bFwsKCOXPmSNufOHGCxYsX8+rVK2xtbRk7dqy0YgVklENZunQpu3fvJiYmhipVqjBlyhTpQtH8JJI7IU+I5E55iOROuYjkTnmI5O775WdyV5gV2NWyeeXw4cNMmTIly33m5uYcO/b9v4h5cU5BEARB+K8Rz5aVj/9ccufu7i5TW+9Tn5cJUeQ5BUEQBOG/RiR38vGfyzw+rKAp6OcUBEEQhP+a9HSR3MnDfy65EwRBEAShYBI9d/IhkjtBEARBEAoEkdzJh0juBEEQBEEoEERyJx8iuRMEQRAEoUAQc+7kQyR3giAIgiAUCBLRcycXCnu2rCAIgiAIgiB/oudOEARBEIQCQcy5kw+R3AmCIAiCUCCIOXfyIZI7QRAEQRAKBNFzJx8iuRMEQRAEoUAQPXfyIZI7QRAEQRAKBNFzJx8iuRMEQRAEoUAQPXfyoZKenp6u6CAEQRAEQRCuBETn+NgajnpyjES5iZ47IU+E37+k6BDkzsipFkH/+Cs6DLmzti9HiP9NRYchdyXKVeHF40BFhyF3NmUcOKbuoOgw5KppSmChfc+IuXVG0WHIna5rwzw7t+i5kw9RxFgQBEEQBKEQET13giAIgiAUCGJBhXyI5E4QBEEQhAJBDMvKh0juBEEQBEEoEETPnXyI5E4QBEEQhAJBIup3yIVI7gRBEARBKBBEz518iOROEARBEIQCQcy5kw+R3AmCIAiCUCCIxyrIh0juBEEQBEEoECQFcFg2KiqKGTNmcOHCBVRVVWnUqBFeXl5oa2tn237ZsmX4+vry5s0bDA0NadCgAcOHD0dHR0fazsEhczHyhQsX0rRp01zHLJI7QRAEQRCEbIwZM4bQ0FA2btxISkoKnp6eTJ48mQULFmTZ/t27d7x7947x48dTpkwZXr16xdSpU3n37h1Lly6VaTt79mzq1Kkjfa2rqyuXmEVyJwiCIAhCgVDQ5tw9efKEixcvsnfvXipWrAjAxIkT6devH+PGjaNEiRKZjilbtizLli2Tvra2tmbEiBGMHTuW1NRU1NQ+pl66urqYmJjIPe7vevxY165dmTlzptyD+JJly5bx22+/fbWdu7s7mzZtyvN49u/fj5ubW55/H0EQBEH4r0lPz/lXXrh9+za6urrSxA6gVq1aqKqq4ufn983niY2NpXjx4jKJHcC0adOoXr06bdq0Ye/evaTL6UK+q+du2bJlmQLLa7169aJLly5fbbd3716KFi2aDxHJV9euXXF0dMTLy+ubj/H29ubWrVs8evQIOzs7Dh06JLP/6tWrbNq0iXv37hEbG4uNjQ29e/emefPm8g5f7vadOMf2QyeIiIqmjK01o3p3prx96SzbPg16xbqdBwh4+py3oeEM79mR9r82kmmz/+R5Dpy6wJvQMABKWVnQq21zaro65/m1fOrQ0ePs2X+AiMgo7ErZMrh/Xxwdymbb/k/fv9m8bQdvQ95hYW5Gnx7dqF7144eKLdv/xx8XfQkNDUNNTQ37Mnb07NaFcl84p7ztP36anQeOEhEVjZ2tNcP7dqd82TLZtr/w9xXW79jD23dhWJiVZEC3DtR0c5Huj4iKZvXm/3H9jh+xcfFUquDI8L7dsTI3y4/LkTp89Bh79h0gIjKS0qVKMXhAvy/eq78u+rJp23ZCQt5hYW5On57dqSZzr3bwx18XCQ0NQ11NDfsyZejRrQvlHDPPt8krhrXdKD26N3quTmiZm3Kj9SBCDp/78jF1q1F+vgfFy9uT+PINj2evInjLAZk2NgM7UXpUbzRLmhDjF8CDETOIvn4vLy8lk8L4nrH79J9sO3KO8OgY7K0tGNujLRXK2GbZ9snLN/jsPUrA05e8CYtgZNfWdGryk0ybuIREVu8+yh837hIZHUtZW0tGd29DBTubfLia75ObUijJyckkJyfLbNPQ0EBDQyPH5wwLC8PQ0FBmm5qaGnp6eoSGhn7TOSIiIli5ciXt27eX2T5s2DBq1KhB0aJF8fX1Zdq0acTHx9OtW7ccx/vBd/Xc6evrU7x48Vx/0++hra2NgYFBtvs/3EhDQ0OlTO5yqnXr1jRp0iTLfbdv38bBwYGlS5dy+PBhWrVqxfjx47lw4UI+R/l9zv59laWbdtKr3W9s/H0qZWysGDljARHRMVm2T0xOwryECQO7tMVIXy/LNqZGhgzs0oaN86awYd4UqjiVY/zcpTwNepWXlyLjj7988Vm3gS4dO7BqyUJKl7JlwuRpREZFZdn+gX8As+YtoHHDBqxaupAfalRn6sw5PHv+QtrG0sKcIQP6sWbFEhbNm02JEqZ4TJpKVHR0vlzTOd/LrNiwjR4dWrFu4UzK2FozZtocIqOy/v73Ah4xfcFymjb4kXULZ1GnehW85izk6YuXAKSnp+M1ewGvQ94xy3M06xfNooSJMaOmzCYhMTFfrgngj78u4rN2PV06dWDl0kWULmWL56Qp2d+rh/7Mmjefxo0asmrpYmrVrM5U71mf3SsLhgzoz5oVy1j4+1xKlDBlwqQp+XavAIpoFyPGL5D7w6Z9U/uitpZUPexD+B9X8XX7jWfLNlPRxxvjhrWlbcza/kK53yfwj/cKfKu15L1fANWPrUfDxPALZ5avwviecfryTRZvPUCf1r+wddZ47G0sGDpnBRHR77Nsn5icjIWpMUM6NsdIP+v5Wt5rdnD1XgDTBnXnf/M8qeHsyOCZy3gXEZWHV5IzkvScf/n4+FClShWZLx8fnyy/z/z583FwcPji15MnT3J9PbGxsfTv3x87OzuGDBkis2/w4MFUqVKF8uXL069fP/r06cP69etz/T0hF8Oy7u7urF69mgkTJuDi4sKPP/7Irl27ZNr7+fnRokULKlasSKtWrThz5gwODg74+/sDWQ9xnj17VmYFyefDsh4eHgwaNIhVq1ZRu3ZtGjduLI3n02HZmJgYvLy8qFGjBq6urnTr1o2AgADp/oCAALp27YqLiwuurq60atWKe/e+/xNnUFAQAwcOpFatWri4uNC6dWsuXbok02b79u00atSIihUrUqtWLYYNGya9lmvXrrFlyxbpP6bg4OCvfs+JEyfSuXNnrKysstw/YMAARowYgaurK9bW1nTv3p06depw+vRpaZsPP8fVq1dTq1Yt3NzcWL58OampqcydO5dq1apRt25d9u3b990/k5zaeeQ0zRvU5Vf3OpSysmBc/25oampw9NzFLNuXL1OaId3b07B2ddTVs+5Rrl21MrWqVMLKvCTW5iUZ0Lk1RbW0ePAo97+032rfwUP88nMjGjesj421FcMHD0RTU5NTZ7LuOTlw+AhVq7jSrnVLbKys6NG1M2XsSnPo6HFpG/cf6+FauRJmJUtia2PNgD69iI+P5+mz5/lyTbsPHefXRj/RpP6P2FpZMnpgb7Q0NTl27s8s2+89cpJqrpXo2LIZtlYW9OncjrKlS7H/eMa/yeDXb3kQ+JjRA3pRzt4OawtzRg/oRVJyMucuXs6XawLYd+AQvzRuxM8NG2Bjbc3wIYPQ1NLk1OmzWbY/KL1XrbC2tqJH1y6UsSvN4aPHpG3cf6yHq0tlzMwy7lX/vr2Jj4/nWT7dK4DQU3/xaMpiQg5lfR2fs+nXgYRnwfiPm0tswFNerNzO232nKDW8h7RNqRE9ebl+N8Gb9xPr/4R7g6aQFp+IVY/WeXQVmRXG94wdx87Twr0WzX+sSWlLMyb07oCWhgaH/8j696CCnQ3DO7ekUS03NLIYWUtMTubCtTsM69QC13JlsCppQr82TbEqacK+M1n/nBQpPV0lx1/9+/fn5s2bMl/9+/fP8vv06tWL48ePf/HLysoKY2NjIiIiZI5NTU0lOjr6q3PlYmNj6dOnD9ra2qxYsQJ1dfUvtq9UqRJv377N1PuYE9+V3H1u48aNODk5cfDgQTp16sTUqVN5+vQpAHFxcdJsdf/+/QwdOpS5c+fmOmCAy5cv8+zZMzZu3JhtVj58+HDCw8NZu3Yt+/fvp0KFCnTv3p2ofz+BjxkzhpIlS7J37172799P3759v/qDz0p8fDz16tVj06ZNHDhwgDp16jBgwABev34NwL1795g5cybDhg3j5MmTrFu3TprQenl54eLiQrt27fD19cXX1xczs7wZgnr//j36+voy265cucK7d+/Ytm0bHh4eLFu2jP79+6Onp8fu3bvp0KEDU6ZM4e3bt3kS06dSUlIJfPIcN+cK0m2qqqpUdS7P/UeP5fI90tIknPG9SmJiEk4OdnI559ekpKTw6PETXCt/HNJRVVXFtXIlHgYEZnnMw4BAmfYAbq4u+GfTPiUlheMnT6OtXQy7UqXkF3w2UlJSefTkGW7OTtJtqqqqVKnkxIPAf7I85kHgP1T5pD1ANRdnafvklBQAND75HVRVVUVdTQ2/h1lft7ylpKTwz+PHuFSuLBODS+VK+H/ywfBTDwMCcKlcSWabm6trtu1TUlI4fuIU2tralM6He5VT+jUqE3ZeNpkIPeOLQY3KAKioq6PnWoGwc598kE1PJ+z8JfRruJAfCuN7RkpqKgHPXlLN6WMHh6qqKtWcHLj3z7McnTMtTUKaRIKGhuzfN00Nde4E5t+H3G+Vmzl3GhoaFC9eXOYruyFZQ0ND7OzsvviloaGBi4sLMTEx3L9/X3rslStXkEgkODtnP1QfGxtL7969UVdXZ9WqVWhqan712v39/dHT08vVMPIHuZpAV7duXTp37gxA37592bRpE1evXqV06dIcPXoUiUTCrFmz0NTUxN7enrdv3zJ16tRcB12sWDG8vb2z/QHcuHEDPz8/Ll++LG0zfvx4zp49y6lTp2jfvj2vX7+md+/e2Nll/MLa2trmKBZHR0ccHR2lr0eMGMHZs2c5f/48Xbp04c2bNxQtWpQff/yR4sWLY2FhQfny5QHQ0dFBXV0dLS2tPFkt88Hx48e5d+8e06dPl9mur6/PxIkTUVVVpXTp0qxbt47ExEQGDBgAQP/+/Vm7di03b96US92dL4l6/540iQTDz4YVDPX0ePEqd8nlkxcv6ec5k+TkFIpqaTJ73BBKWVnk6pzfKjrmPRKJBIPPEmsDfT1eZtNLGxkZlSkRN9DXIyIqUmbblWvXmTlvAUlJSRgaGDB3xjT09OSzjP5Lov+9VwafDWsZ6ukRFPw6y2MioqIw/Ky9gZ4eEZFRANhYmlPCxJg1W3cyZlBvtDS12H3kOKHhEYRHRmZxRvmLiYnJ5l7p8/Jl1kNykZFRmdrr6+sTEZn5Xs2a+3vGvTI0YI739Hy5VzmlWcKYpJAwmW1JIWGo6+mgqqWJuoEeqmpqJL0L/6xNONoOWc93k7fC+J4RFRObcU16OjLbDfV0ef46JEfn1C6qRUX7Uqzff4JS5iUw1Nfl1N83uPfoGZYl8+7vTk4VtDp3dnZ21KlTh0mTJjFt2jRSUlKYMWMGTZs2la6UDQkJoXv37sybNw9nZ2diY2Pp1asXCQkJ/P7778TGxhIbGwtkJJVFihTh/PnzhIeHU6lSJTQ1Nfn777/x8fGhV69ecok7V8ndp8OnKioqGBsbEx6e8cv+5MkTHBwcZLJVFxf5fKIrW7bsFzPbwMBA4uPjqV69usz2xMREgoKCAOjZsycTJ07k0KFD1KpVi8aNG2Ntbf3dscTFxbF8+XL++OMPQkNDSUtLIzExUdpzV6tWLczNzWnQoAF16tShTp06NGzYMN/mB165cgVPT0+8vb2xt7eX2VemTBlUVT923hobG8u0KVKkCPr6+tJ7qqyszc3YPH8asfEJXLh8He/l61gx3SPfEry8Usm5IquXLiI6JoYTp07jPfd3li6YlynZUAZqamp4jx/B3OVradqlH0X+7Qms7lrp6wcrgUrOFVm1bDExMTEcP3ka7zlzWbpwvlLeq/+CwvaeMX1wN6av3k6TwRMpoqqKQykrGtVyI+BZkKJDy6QgPqFi/vz5zJgxg+7du0uLGE+cOFG6PyUlhWfPnpGQkADAgwcPuHv3LgANGzaUOde5c+ewtLRETU2N7du3M2vWLCCjXIqHhwft2rWTS8y5Su4+XzmroqLyXct4VVVVM7VP+Xd45ku+lhjFxcVhYmLC1q1bM+37UB166NCh/Prrr/z555/89ddfLF26lEWLFmW6EV8zd+5cLl26xPjx47G2tkZLS4thw4ZJr6N48eIcOHCAa9eu4evry9KlS1m+fDl79+6VW7HC7Fy7do2BAwcyYcIEWrRokWl/Vvcvq20SiSQvwwRAX0eHIqqqRETJToSOiI7O9Mn8e6mrq2FplvEJy9HOFv/Hz9l97AzjB/TI1Xm/hZ6uDqqqqpkm5EdGRWe7UMjAQF86feDT9ob6su2LamlhYW6GhbkZ5R0d6N53ICdPn6VjuzbyvIRM9P69V58vnoiIjsbQQD/LYwz19Yn4rH3kZ+0dypRmw+LZxMbFk5qair6eLv3HTsKhTP70BOnq6mZzr6KyvS4DA/1M7aOiojA0yOpemWNhbk45R0d69O3PydNn6NiurRyvQH6SQsLQLGEss02zhDEp0e+RJCaRHBaJJDUVTVOjz9oYkfRWtscvrxTG9wx93eIZ1/TZ4omI6JhsF0t8C8sSJqyZMoKExCTiEhIxNtBjwpINWJgaf/1gAX19/WwLFgNYWloSGPhx+kj16tVlXmelbt261K1bV24xfi5Xc+6+xM7OjsDAQJKSkqTb7ty5I9PGwMCAuLg44uPjpdsCspmr8j0qVKhAWFgYRYoUwcbGRubr0yXNpUqVokePHmzYsIFGjRrlaPHA7du3admyJQ0bNsTBwQFjY2NevZIdwlFTU6NWrVqMGzeOw4cP8+rVK65cuQKAurp6niRPV69epX///owZMybT8uuCSF1dDQc7W27eeyjdJpFIuOHnj9MXymvkhCRdQkpKqlzPmR11dXXKlrHj9t2P9ZAkEgm37/pRPptSGOUdHbh9R7Z+0q3bd75aOiM9XfJNH45yS11djbJ2pbjp90C6TSKRcMvvARUc7LM8poKDPbf87stsu37nXpbti2sXQ19Pl5ev3xD45Cm1q1WR7wVkQ11dHfsyZbhz5650m0Qi4c4dP8p9MvXiU+UdHWXuLXy4V1m3/yBdkp4v9yqnoq7cwci9hsw24/q1iLxyB4D0lBSibz3A2L3mxwYqKhj9VJOoK7fzJcbC+J6hrqaGYykrrt//mBhIJBKuP3hERfvcz9EsqqWJsYEeMbHxXPHzp65bxa8flM9ys6BC+CjPkrtff/0VFRUVJk6cyOPHj/nzzz/ZsGGDTJtKlSpRtGhRFi5cSFBQEEeOHGH//v25/t61atWicuXKDB48GF9fX4KDg7l16xaLFi3i3r17JCYmMn36dK5evcqrV6+4efMm9+7dk86/+x42NjacOXMGf39/AgICGD16tEyyduHCBbZs2YK/vz+vXr3i4MGDSCQSSv07mdrCwoK7d+8SHBxMRETENyV6L168wN/fn9DQUBITE/H398ff31+6wubKlSv079+frl270qhRI0JDQwkNDc3UG1TQdGjWiMNn/+T4BV+eB7/m9zVbSExK4lf3jPIL05euZdW2PdL2KSmpPHoWxKNnQaSmphEaHsmjZ0EEv/k4N2XVtj3cfhDIm3dhPHnxUvq6Ud2amb5/Xmnd4jeOnzrD6XPnefHyJUtXriYxMZGfG9QHYO6Cxazf9LGXuWXzZly/dZs9+w8S9DKYLdv/x6PHT/jt14zSNwmJiazfvJWHAYGEvHvHo8ePmb94GWHhEdSt/UO+XFO735pw9MwFTpz/i+cvX7Fg9QYSEhNpUr8eADMXr8Rn605p+zbNGnP1th87Dx7jRfArNvxvL4FPntKqyccaYxf+vsLtew95/TaEi1dvMHrKbGpXc6OaS/7VF2vd8jeOnzrN6bPnCAp6ydIVqzLuVcOMezVvwSLWb9osbd+ieTNu3LzF3v0H/r1XO3j0+DHNf82Yo5qQmMiGzVvwDwjIuFf/PGbB4iWEhYdTt3btLGPIC0W0i6FbyRHdShlJZ7FSluhWckTLKmMBl4P3KCpt/Ljg7cWanRQrZYXj7LFoO5TGZkAnzNr+wrMlm6Rtni3eiFXvdlh0bUFxx9I4rZiKmnZRXm7O/Xv4tyqM7xmdmrpz8MIljv55hWev3jJnwy4SkpJoVi8j2Z6ycgvL//extmlKaiqBz4MJfB5MSmoqoZFRBD4P5uXbjzXYLt99yKU7D3n1Loyrfv4M8F6CrXkJmtfLv/fBb5WbUijCR3lWkVhbW5vVq1czZcoUWrRoQZkyZRgzZgxDhw6VttHX1+f3339n3rx57Nmzh5o1azJ06FAmTZqUq++toqLCmjVrWLx4MRMmTCAyMhJjY2Pc3NwwNjZGVVWVqKgoxo8fT1hYGAYGBjRq1EhaouR7eHh44OnpSYcOHTAwMKBv377ExcVJ9+vo6HDmzBmWL19OUlISNjY2LFiwQDq3rVevXnh4eNC0aVMSExOl4/FfMnHiRK5duyZ9/WHI9cOxBw8eJCEhAR8fH5nVxNWqVctyqLqgaPBDdaKi37N250EioqKxL2XNwomjpBPxQ8LCUVX5+OksLDKKHmOmSF/vOHySHYdP4lLBgRXTPQCIjH7PjGVrCY+MRrtYUcrYWLFo0miqVapAfvmxbm2ioqPZvO1/REZGYle6FLOmT8Hg36G+d6GhqKh+vK4K5RyZMHYUm7ZuZ+OWbViYmzPVy4NSthkFR4uoqvIy+BVnzs0lJiYGHV0dHOztWTR3FrY23z9vNCfq165JVHQMG/63l4jIKMqUsmH+FI+P9yo0HBWVj58dKzqWZfKowazbvoe123ZhaV6SmR6jKG3zsZxPeGQUyzdsIzI6GiMDA37+sTbd27XKl+v54Me6dYiOjmbLth1ERkZSunRpZk6fKh1Cfxcaison/wYrlC/HhLGjM+7V5q2YW5gzdaKn7L16GcyZc+eJiY5BR1cXB/syLJw3J9/uFYBeFSdqnvv4u19+vicAL7fsx6/3BDTNTChq9XGlfsLzYK4370/5BROwHdqNxOC33Os/kbAzvtI2b/acQMPEkLJThmUUMb7rz7Vf+5D8Lv/m6BbG94xGNasQFROLz95jhEe9p6yNBUs9BkuHZd+GRcj8GwyNjKbLhDnS19uOnmPb0XO4liuDz+QRAMTGJ7Ji52HeRUShW7wY7tUqM6h9M9TUiuTLNX2PgjjnThmppMvrWRffIDg4mPr163Pw4EHKlSuXX99WUIDw+5e+3kjJGDnVIugff0WHIXfW9uUI8b+p6DDkrkS5Krx4nD9lVPKTTRkHjqnn39Mt8kPTlMBC+54Rc+uMosOQO13X75ub/j32X8v5NKVW1fJsMFLp5O+zxARBEARBELIhhlflQyR3n+nTpw83b2bdi9G/f39pDbi8MnnyZI4cOZLlvmbNmmWqVScIgiAIhYUYlpWPfE3uPl8uXBDNnDmTxGyeZamnl/WzCOVp+PDh9O7dO8t9+f1cX0EQBEHITyK5kw/Rc/eZDxWnFcXIyAgjI6OvNxQEQRCEQkYiSprIhUjuBEEQBEEoEETPnXyIpSWCIAiCIAiFiOi5EwRBEAShQBA9d/IhkjtBEARBEAoEUQpFPkRyJwiCIAhCgSCeESsfIrkTBEEQBKFAEMOy8iGSO0EQBEEQCgQxLCsfIrkTBEEQBKFAED138iGSO0EQBEEQCgSR3MmHSO4EQRAEQSgQxLCsfIgixoIgCIIgCIWI6LkTBEEQBKFAEMOy8qGSni5+lIIgCIIgKJ7P6Zwf27+R/OJQdqLnTsgTNwIjFR2C3Lk5GJBwfquiw5C7ou5diV3poegw5K74oDm8Cbij6DDkzsyxMuH3Lyk6DLkycqrFMXUHRYchd01TAkk8vVHRYcidVqOeeXZu0d0kHyK5EwRBEAShQBDJnXyI5E4QBEEQhAJBrJaVD5HcCYIgCIJQIORuGYB4Lu0HohSKIAiCIAgFQnp6zr/ySlRUFKNHj8bV1RU3Nzc8PT2Ji4v74jFdu3bFwcFB5mvy5MkybV6/fk2/fv2oVKkSNWvWZO7cuaSmpsolZtFzJwiCIAhCgSCRKDqCzMaMGUNoaCgbN24kJSUFT09PJk+ezIIFC754XLt27Rg2bJj0ddGiRaX/n5aWRv/+/TE2Nmbnzp28e/eO8ePHo66uzqhRo3Ids+i5EwRBEARByMKTJ0+4ePEi3t7eVKpUCTc3NyZOnMixY8cICQn54rFaWlqYmJhIv4oXLy7d5+vry+PHj/n9998pV64c9erVY/jw4Wzfvp3k5ORcxy2SO0EQBEEQCoSCNix7+/ZtdHV1qVixonRbrVq1UFVVxc/P74vHHjlyhOrVq/Prr7+yYMECEhISpPvu3LlD2bJlMTY2lm6rXbs2sbGxPH78ONdxi2FZQRAEQRAKhNyslk1OTs7U66WhoYGGhkaOzxkWFoahoaHMNjU1NfT09AgNDc32uF9//RVzc3NMTU0JDAxk/vz5PHv2jOXLl0vP+2liB0hff+m830okd4IgCIIgFAi56YHz8fGRJk8fDBkyhKFDh2ZqO3/+fNauXfvF8x0/fjzHsbRv3176/w4ODpiYmNCjRw+CgoKwtrbO8Xm/lUjuBEEQBEEoENJz0XXXv39/evaUfXpGdr12vXr1omXLll88n5WVFcbGxkRERMhsT01NJTo6GhMTk2+OrVKlSgC8ePECa2trjI2NMw3rhoWFAXzXebMjkjtBEARBEAqE3AzLfs8QrKGhYabh1qy4uLgQExPD/fv3cXJyAuDKlStIJBKcnZ2/OTZ/f3/gY+JWuXJlVq9eTXh4OEZGRgBcunSJ4sWLU6ZMmW8+b3YK3YIKDw8PBg0apOgwZAQHB+Pg4CC9uVevXsXBwYGYmJgcn9Pd3Z1NmzZJXzs4OHD27NlcxVkQf3aCIAjCf0dBW1BhZ2dHnTp1mDRpEn5+fty8eZMZM2bQtGlTSpQoAUBISAiNGzeW9sQFBQWxYsUK7t+/T3BwMOfOnWP8+PFUrVoVR0dHIGPxRJkyZRg3bhwBAQFcvHiRxYsX07lz51zNEfwgX3ruunbtiqOjI15eXnl6jLJwcXHB19cXHR0dAPbv38+sWbO4ceNGjs/p6+uLnp5eruLy8vKSqQ6uiHuQnp7Ovh1ruXD6EHFxsZQtV5FeA8dR0jz7OQr+929z7MA2nj0JJCoijJGec3GrUU+mzb4da7l88SwRYSEUUVOnVBkH2nUZQBkHp7y+JAB2/nGDzWcuEx4TS1nLEoxv/zMVbS2ybHvudgDrT/5NUGgEqWkSrE0N6dagOr9W//gpMT09nVVH/2S/7x3eJyRSubQlnp2aYGP69U+i8rL77lO23PyH8PhE7I31GPejM04ls/7+hx++YNqZWzLbNIqocnnIbwCkpElYdfkhvs9DeBUdR3FNdapbmTD0hwqYFC+a1SnzzIFjp9h58AgRkVGUsbVhWL+elCub/SfpP/6+zPrtu3n7LhRL85L079aZGm4u0v3xCYms2bID36vXiXn/HjNTU1r9+gu//dIwPy5Hat+Jc2w/dIKIqGjK2FozqndnytuXzrLt06BXrNt5gICnz3kbGs7wnh1p/2sjmTb7T57nwKkLvAnNGEoqZWVBr7bNqen67b0ZuWFY243So3uj5+qElrkpN1oPIuTwuS8fU7ca5ed7ULy8PYkv3/B49iqCtxyQaWMzsBOlR/VGs6QJMX4BPBgxg+jr9/LyUrK086+bbD53lbCYOMpamOLRpiEVbc2zbHv2TiDrT1/mZVgkKWkSbEwM6OpejWbVPr6/rTp+kZM3/Xkb9R71IqqUtyrJkGb1cM7mnIoiKYDPH5s/fz4zZsyge/fuqKqq0qhRIyZOnCjdn5KSwrNnz6SrYdXV1bl8+TJbtmwhPj4eMzMzGjVqJNN5UqRIEVavXs3UqVNp3749RYsWpWXLljJ18XJDDMt+h5SUFNTV1XN9Hg0NDbmMqX9KHuf7kGwq0tH9Wzl1dDf9h0/GtIQZe7avYc6UEcxb8T80NDSzPCYpKQHrUvbUa9CMxbM9smxT0sKaHv1HY1rSguTkJE4c+h9zpgxnoc9edPUM8vKSOHXjAQv2ncGr4y9ULGXB9vPXGLT0fxyaOhBDXe1M7XW1tejzyw/YljBGXU2Vv+49ZsqWIxjqaFOrvB0Am05fZseF68zo3hwLI31WHvmTQUt3sH/KADTV8/7X+vSjYBZevIfnT5VxKmnAjjtPGHLwEvu7NcSwWNb3SVtDjf3dPiY0nz4oKDE1jYB3UfSp5kBZEz3eJ6bw+59+jDxyhW0df8rjq/no/MVLrNywhVED+1CurD17jxxn7NRZbF25CAP9zB+e7vsHMn3+Uvp17UjNqq6c/etvJs7+nTUL51DaJuMDycoNW7jldx+vkUMoaWrCjTt+LFq9HmNDA36o7pYv13X276ss3bSTsf27UcG+NLuOnmHkjAX8b9lsDPV0M7VPTE7CvIQJP9WqytKN/8vynKZGhgzs0gYrsxKkA8cv/M34uUvZ9Ps0Sltn/cFFnopoFyPGL5CXm/bhtnfFV9sXtbWk6mEfgtbs5E63MRi516SijzeJb0IJO+MLgFnbXyj3+wTuD55C1LW7lBrWnerH1vNHhcYkh0Z85TvIz8mb/sw/cJ6J7X+moo052/+4zsCVuzg0qR9GOpnfM/S0tejzc01KlTBCvUgR/nrwmCnbj2GoU4wfymUk8Damhkxo2whLY30SU1LYduE6A1fs4sjk/hjqFMu3a/uavHzSRE7p6+t/sWCxpaUlgYGB0tdmZmZs27btq+e1sLD46qKOnMrzYVkPDw+uXbvGli1bpI/gCA4O5tq1a7Rp0wYnJydq167N/PnzpY/dyO6YtLQ0PD09cXd3x9nZmZ9//pnNmzfnODaJRMLatWtp2LAhTk5O/Pjjj6xatQr4OJR6/PhxunTpQsWKFTly5AgAe/bs4ZdffqFixYo0btyY7du3y5zXz8+PFi1aULFiRVq1aiUdjv3g02HZq1evMmHCBN6/fy+91mXLln33tXw6LPtp7J06dcLZ2ZnWrVvz7Nkz/Pz8aNWqFS4uLvTp00dmouinw7LZ3YO8lJ6ezsnDu2jRriduNepiXcqegSOnEBURxs0rf2V7XOUqtWjXZQBVa/6YbZsf6v2MU+VqmJa0wNK6NJ17jyAhPo6g57mvJ/Q1W89dpdUPLrSoVRk7MxMmdmyCloY6By/fybJ91bK2uFd2pLSZMVYmhnR2r4a9RQluP34JZPyctp+/Rt9favNTJQfKWpZgRo/mhEa/58KdwCzPKW/bbj2mZQVbmlewobSRLp7uldFSK8KhB8+zPUYFFYy1taRfRtpa0n06muqsbFWbRmUtsTXQoaKZIeN/rIT/uyjexMTnwxVl2HPoGE0b1eeXBj9ha23JqIF90NLU4PjZC1m233fkBNVcK9OhVXNsrCzp3bk99qVLceDYKWmb+wGBNHavh0vFCpiVMKXZzw0oU8oG/3/y/t/eBzuPnKZ5g7r86l6HUlYWjOvfDU1NDY6eu5hl+/JlSjOke3sa1q6OejYfFmpXrUytKpWwMi+JtXlJBnRuTVEtLR48epKXlyIVeuovHk1ZTMihb5uOYtOvAwnPgvEfN5fYgKe8WLmdt/tOUWp4D2mbUiN68nL9boI37yfW/wn3Bk0hLT4Rqx6t8+gqsrb1wjVa1axEixrO2JkZM7F943/fM7Kuq1bV3ob6lRwoXdIYKxMDOv9YFXtzU24/+fie3cStAjUcbbE01qeMmQljWtYnNjGJf16/y6/LEvJRnid3Xl5euLi40K5dO3x9ffH19UVdXZ1+/fpRsWJFDh06xNSpU9m7d680scrqGDMzMyQSCSVLlmTJkiUcO3aMwYMHs2jRohwvV16wYAFr165l0KBBHD9+nPnz52eqOzN//ny6devG8ePHqV27NocPH2bJkiWMHDmS48ePM2rUKJYuXcqBAxld+3FxcfTv3x87Ozv279/P0KFDmTt3brYxuLi44OnpSfHixaXX2qtXrxxdz+eWLVvGwIEDOXDgAGpqaowePZrff/8dLy8vtm/fTlBQEEuWLMny2OzuQV4KDXlNVGQ4FSpVlW4rpl0cu7IV+CdQfsMiqSkpXDh1kGLaxbEpZS+382YlJTUN/6A3VHcsJd2mqqpCdUdb/J6++urx6enpXA14xvOQcFztM3qCXoVFERYTK3NOnaJaVCxlwd1neZuAQ8YQasC7KKpZf+wtVlVRoZq1CffeZt+7kZCSStMNJ2my/iSjjlzmSfiX55zGJqegQkbilx9SUlIJfPKUKpU+FitVVVWlSqWKPAz8J8tjHgQ+okol2aH9ai6VeBj4SPraydGBv6/dIDQ8gvT0dG773eflqzdUdcmf4cuM63qOm3MF6TZVVVWqOpfn/iP5JJhpaRLO+F4lMTEJJwc7uZxT3vRrVCbs/GWZbaFnfDGoURkAFXV19FwrEHbu0scG6emEnb+Efg0X8ktKahr+L99Sw8FWuk1VVYUaDrb4Pf/G94zA5zx/F0GVMlbZfo99l+6gU1STsham8gpdLgranDtllefjNzo6Oqirq0sfwwGwaNEiSpYsyeTJk1FRUcHOzo6QkBDmz5/P4MGDszwGMsaoPx2PtrKy4s6dO5w8eZImTZp8V1yxsbFs2bKFyZMnS5dDW1tb4+YmO0zSvXt3GjX6ONdk2bJleHh4SLdZWVnx+PFjdu3aRcuWLTl69CgSiYRZs2ahqamJvb09b9++ZerUqVnGoaGhgY6ODioqKnIfqu3Vqxd16tQBoFu3bowaNYpNmzZRpUoVANq0acP+/fuzPDa7e5CXoiLDAdDTl523padvKN2XG7eu+7L890kkJyWib2CMx/Sl6Ojq5/q8XxIZG0+aJB2jz4ZfjXSL8zwk+2t6n5BIowlLSElJQ1VVBc+Ov1Dz3+GVsJjYf88he05DHW3CY778MGt5iEpIIi09HaPPhl+NimnxPCI2y2NsDYozuaEr9sa6xCalsvXWP/Tc/Sd7ujSghE7mOXVJqWks/fsBPztYUjyfkrvomBgkEgmGnw2/GujrERT8OstjIqKiMNTXz9Q+IjJa+npYv54sWLGGtr0GUqRIEVRVVBgzuB+VKpSX+zVkJer9e9IkEgz1ZYdfDfX0ePHqba7O/eTFS/p5ziQ5OYWiWprMHjeEUlZ5PySbE5oljEkKCZPZlhQShrqeDqpamqgb6KGqpkbSu/DP2oSj7ZD13MS8EBmXzXuGjjbPvvKe0XDiClJS/33PaNeImp98AAT48/5jxm88RGJKCsa6xVk9uAMGxQvOkCyARGRpcqGQOXdPnjzBxcUFFZWPs26qVKlCfHw8b9++xdw8+wme27dvZ9++fbx+/ZqkpCRSUlKkq0++x9OnT0lOTqZGjRpfbPdh6TNAfHw8QUFBeHl5MWnSJOn21NRU6Xy1J0+e4ODggKbmxz98Li7596nvUw4ODtL//7DU+vNtn9fvyU9//3GS9Ss/9mqOnfzlhzDnVvmKVZi1eAvvY6K5cPoQy+Z6MW3++kzJZEGgranJLs++xCclcy3wOfP3nsHCWJ+qZW0VHVqOOJsZ4Wxm9MlrQ9psPcu++88YVFM2yUlJk+Bx/Brp6elM+KlyPkcqf/uPnuRh4D/M8hpHCVNj7j7wZ7HPBowMDXCrnD+9d3nF2tyMzfOnERufwIXL1/Fevo4V0z0KbIJXmGlrarLboxfxSclcDXzOggPnsTTWp6q9jbRNVXtrdnv0Iio2nn2X7jJ2w0G2jemW5Tw+RUmXKDqCwkGpFlQcO3aMuXPnMn78eFxcXNDW1mb9+vXcvXv3u8/1afL1JcWKffxUEx+fMfdnxowZ0oKEH6iqFryqMp8u/viQSKupqclsk0gU95vkWq0OdmU/DhWlpqYAEB0VgYHhx+Hx6KgIbErnfvhUS6soJc2tKGluhb2jE6P6t+GPM0f4rW33XJ87OwbFi1FEVSVTj1p4TCzGusWzOSpjGMb635WvjlYlefYmjA0nL1G1rK30uPCYOEz0Pi6CiXgfR1nLEnlwFbL0i2pSREWF8Pgkme3h8YkYa3/b75V6EVUcTPQIjpL9uaSkSfA4cY037+NZ3ap2vvXaAejp6qKqqkpEVLTM9sioaAwN9LM8xlBfn4ioqCzaZ/T+JSUls27b/5gxYQw13VwBsLO14fHT5+w6eDRfkjt9HR2KqKoSESU7DB4RHZ2pN+97qaurYWmW8W/O0c4W/8fP2X3sDOMH9MjVefNCUkgYmiVkp91oljAmJfo9ksQkksMikaSmomlq9FkbI5Leyvb45SUD7WzeM97HYZzFAqwPVFVVsDbJWBzmaFmCZyHhrD99RSa5K6apgbWJBtYmBjiXsqDZdB8OXvajd6OaeXMxOZAueu7kIl8yEnV1dZkkws7Ojtu3b8vcxJs3b6KtrU3JkiWzPAbg1q1buLi40LlzZ8qXL4+NjQ1BQUE5isnW1hYtLS2uXLnyzccYGxtjamrKy5cvsbGxkfmysrKSXltgYCBJSR//8N25c+eL51VXVyctLS1H15GXsroH8lS0mLY02SppboWFVSn0DYx4cPe6tE18fBxPHj3A3qHiF86UM+np6aSmJH+9YS6oqxWhnLUZ1wKfSbdJJOlcC3yOc+lv792QpKeT/O+CIwtjfYx1i3Mt8Ll0f2xCEveevaJSKUu5xZ4d9SKqOJrqc/3lx+cfStLTuf4ylIrZlEL5XJokncfhMTLJ4IfE7mVULKta1ka/6LclivKirq6Gg11pbvl9nN8pkUi46Xef8g5Zf7io4FCWW373ZbbduHOP8g5lAUhNSyU1NQ1VFRWZNkWKqObbH7GM67Ll5r2H0m0SiYQbfv44faHES05I0iWkpKTK9ZzyEnXlDkbusiM1xvVrEXnlDgDpKSlE33qAsfsniY6KCkY/1STqyu18i1NdrQjlrEpy9dFz6TaJJJ2rj17gnE35pKxI0tNJSf3yvfj0faWgkEhy/iV8lC89dxYWFty9e5fg4GCKFStGp06d2Lx5MzNmzKBz5848e/aMZcuW0bNnT2kP2OfH6OvrY2Njw8GDB7l48SKWlpYcOnSIe/fuYWn5/X/QNDU16du3L7///jvq6uq4uroSERHBP//8Q9u2bbM9btiwYXh7e6Ojo0OdOnVITk7m/v37xMTE0LNnT3799VcWLVrExIkT6d+/P69evWLDhg1f/fnEx8dz+fJlHBwcKFq0KEWL5m9tr+zi+vwe5GUPpYqKCo2bt+fg7k2UNLfCpIQ5e7evQd/QmCo16krbzZo4BLca9Wj0a8Z9SkyI5+2bjwsJQkNe8/zpI4rr6GJsUpLExAQO7d6Ea7U66BsaERsTzZlje4kMD6V67fp5dj0fdK1fnUmbD1Pe2gwnWwu2n79KQlIKv9XM6P2duOkQpvo6DGvhDsD6k39T3sYMK2MDklPT8H3wmGNX7+HZ8Rfpz6mzezXWHvfF2sQQC2N9Vhz5AxM9HX6q7JBdGHLVxbUMU07fpJypfkYplNtPSEhJo3n5jF6CyaduYFK8KEN/yOiZXXM1gIolDbDSL877pBS23vyHtzHxtKhgC2QkduOPXyXgXTSLm9ckLT2dsLhEAPS0NFAvkj89421/a8rsJStxKGNHOXs79h45TmJiEr80+BGAWYuWY2xkSL9unQBo3ewXhntNY9fBI9Rwc+X8xUsEPnnC6MF9AdAuVoxKTuVZtWkbGhoalDQ14c79h5y68BeDe3XLl2sC6NCsEd7L1uFoZ0t5+9LsOnqaxKQkfnWvDcD0pWsxMdRnYJeM36mUlFSe/TvPMDU1jdDwSB49C6KYlqa0p27Vtj3UcHGmpIkR8QkJnL54hdsPAlk0aXS+XFMR7WJol/lY/7JYKUt0KzmSHBFN4ss3OHiPQsuiBHd7jgfgxZqd2AzqjOPssbzctA/jn2pg1vYXrjfvLz3Hs8UbqbRhLlE37xN93Q/bYd1R0y7Ky81Zz03OK11/qsakbUepYG2Gk40Z2/64QUJSMi1qZPT0em05gqm+DsOb/wjA+tOXKW9d8t/3jFQuPnjCsWsP8Gr/MwDxScmsO3WZHyuWwVivOFGxCey8eJN3Ue9p6PL905rykui5k498Se569eqFh4cHTZs2JTExkXPnzrFmzRrmzZvH7t270dfXp02bNgwcOPCLx3To0AF/f39GjhyJiooKTZs2pVOnTvz1V/ZlMr5k0KBBFClShKVLl/Lu3TtMTEzo0KHDF49p27YtWlparF+/nnnz5lGsWDHKli1L9+4ZQ3va2tqsXr2aKVOm0KJFC8qUKcOYMWOyfHDxB66urnTo0IERI0YQFRWV7YOO81tW9yAnifT3+LVVV5ISE1m/Yg7xcbGULe/M+KmLZWrchbwN5n1MlPT108f+zPQaLH29bX3GCuA67k0YMGIyqqqqvA5+zsXzx3kfE0VxXT1KlynHpDmrsbTO+4nSP7tVIDI2nlVH/yQsJg4HyxKsHNoRo3+HV99ERMvMP01ISmbW/07wLuo9mupq2JY0ZmbP3/jZ7eMQdo9GNUlITmbGjmO8j0/Exc6KlUM75kuNO4BGZS2JTEhi9RV/wuOTKGusx7IWtaTlTd6+T5C5pveJyXifu014fBK6muo4muqzoV09ShtlDAuGxiXw59OMyf0dd5yX+V4+rWvjZpk/i3rc69QiKiaGjTt2ZxQxLmXLvCkTpIsmQsLCUfnkA45TOQcmjR7K+m27WLd1JxbmJfGeMFZa4w5g8pjhrN2yg5kLlxETG0sJExP6dOlA88b5V8S4wQ/ViYp+z9qdB4mIisa+lDULJ46SLh4JCQuX6V0Mi4yix5gp0tc7Dp9kx+GTuFRwYMX0jFqSkdHvmbFsLeGR0WgXK0oZGysWTRpNtUoVyA96VZyoeW6r9HX5+Z4AvNyyH7/eE9A0M6Go1ccV/gnPg7nevD/lF0zAdmg3EoPfcq//RGmNO4A3e06gYWJI2SnDMooY3/Xn2q99SH6X+wVd36NxlXJExsaz8thFwt7H4WBhyspB7aWLLN5Gxsjcr4TkFGbtPk3Iv+8ZpUoYMbNbMxpXKQdAEVVVnoWEc/jaPaLiEtAvVpQKNiXZOKILZczy53frWxXAGsZKSSVdpMlCHrgRGKnoEOTOzcGAhPNbv95QyRR170rsyqyLPyuz4oPm8CbgjqLDkDszx8qE37/09YZKxMipFsfU86fXOT81TQkk8fRGRYchd1qNeubZub02JH29UTZm9srfqRwFWcFbBSAIgiAIgiDkmFKtlv0er1+/pmnTptnuP3bs2BdLrijSjRs36Nu3b7b7b9/Ov8m9giAIgpBfxFiifBTa5M7U1JSDBw9+cX9B5eTk9MXYBUEQBKEwkohJd3JRaJM7NTU1bGxsvt6wANLS0lLa2AVBEAQhp8QyAPkotMmdIAiCIAjKRTyhQj5EcicIgiAIQoEgni0rHyK5EwRBEAShQBDDsvIhkjtBEARBEAoEsaBCPkRyJwiCIAhCgSA67uRDFDEWBEEQBEEoRETPnSAIgiAIBUK6GJaVC5HcCYIgCIJQIIjVsvIhkjtBEARBEAoE0XMnHyK5EwRBEAShQBDJnXyI5E4QBEEQhAJB5HbyIZI7QRAEQRAKBNFzJx8q6aIctCAIgiAIBUD/ORE5PtbHw1COkXwUFRXFjBkzuHDhAqqqqjRq1AgvLy+0tbWzbB8cHEz9+vWz3Ld48WJ++eUXABwcHDLtX7hwIU2bNs11zKLnTsgTj588U3QIclfGrhSRd/9UdBhyZ1CpHtG3zio6DLnTc23A+2vHFB2G3OlUa0rMrTOKDkOudF0bknh6o6LDkDutRj05pp75D7iya5oSmGfnLohPqBgzZgyhoaFs3LiRlJQUPD09mTx5MgsWLMiyvZmZGb6+vjLbdu3axfr166lbt67M9tmzZ1OnTh3pa11dXbnELJI7QRAEQRAKhII2mPjkyRMuXrzI3r17qVixIgATJ06kX79+jBs3jhIlSmQ6pkiRIpiYmMhsO3v2LL/88kum3j5dXd1MbeVBPKFCEARBEAQhC7dv30ZXV1ea2AHUqlULVVVV/Pz8vukc9+/fx9/fnzZt2mTaN23aNKpXr06bNm3Yu3ev3JJb0XMnCIIgCEKBkJsFFcnJySQnJ8ts09DQQENDI8fnDAsLw9BQdi6fmpoaenp6hIaGftM59u7di52dHa6urjLbhw0bRo0aNShatCi+vr5MmzaN+Ph4unXrluN4pTHm+gyCIAiCIAhykJvkzsfHh+XLl8tsGzJkCEOHDs3Udv78+axdu/aL5zt+/HiOY/kgMTGRo0ePMmjQoEz7Bg8eLP3/8uXLk5CQwPr160VyJwiCIAhC4ZGbx4/179+fnj17ymzLrteuV69etGzZ8ovns7KywtjYmIgI2RW8qampREdHf9NcuZMnT5KYmEiLFi2+2rZSpUqsXLmS5OTkXPU2gkjuBEEQBEEoIHLTc/c9Q7CGhoaZhluz4uLiQkxMDPfv38fJyQmAK1euIJFIcHZ2/urx+/btw93d/Zu+l7+/P3p6erlO7EAsqBAEQRAEoYBIT0/P8VdesLOzo06dOkyaNAk/Pz9u3rzJjBkzaNq0qXSlbEhICI0bN860wOLFixdcv349y4UU58+fZ8+ePTx69IgXL16wY8cOfHx86NKli1ziFj13giAIgiAUCAWxzt38+fOZMWMG3bt3lxYxnjhxonR/SkoKz549IyEhQea4ffv2UbJkSWrXrp3pnGpqamzfvp1Zs2YBYG1tjYeHB+3atZNLzCK5EwRBEAShQCiIjx/T19fPtmAxgKWlJYGBmQs7jxo1ilGjRmV5TN26dTMVNJYnkdwJgiAIglAgFLQixspKzLkTBEEQBEEoRERyl8eWLVvGb7/9Jn3t4eGRZb2bb3X16lUcHByIiYkBYP/+/bi5ueU6TkEQBEFQtHSJJMdfwkdiWDafeXl5yXQ7d+3aFUdHR7y8vHJ0viZNmlCvXj15hadw6enpbNu2lVMnTxAXF0e58uUZPHgoFhYWXzzu6JHD7Nu3l8jISEqVKs2AgYNwcPj4wO4TJ47z5x8XePz4CQkJ8ezavZfixYvn9eVI7T15gW1HThMRFU0ZG0tG9+pIhTKlsmz79OVr1uw6RMCzIN6GhjOiezs6NG0g02bt7sOs33tUZpuNeQl2LZ6RZ9fwuT2n/2TbkbOER8dgb23BmB7tqFDGNsu2T16+Zs3eYwQ8DeJNWAQju7amYxN3mTZpEglr9x7jhO91IqJiMDbQ49d6NejVsjEqKir5cEUZdp/xZevxC4RHv8feypyx3VriZGeTZdsDFy5zzPcGT4LfAlCulCWD2jaRtk9NTWPl3uP8fdefV+8iKF5Mi2oVyjK0fVNMDPTy7ZoAdp/+k21Hzknv19gebb9wv97gs/coAU9fSu9XpyY/ybSJS0hk9e6j/HHjLpHRsZS1tWR09zZUyOZnlVd2/nWTzeeuEhYTR1kLUzzaNKSirXmWbc/eCWT96cu8DIskJU2CjYkBXd2r0ayak7TNquMXOXnTn7dR71Evokp5q5IMaVYP52zOKW+Gtd0oPbo3eq5OaJmbcqP1IEIOn/vyMXWrUX6+B8XL25P48g2PZ68ieMsBmTY2AztRelRvNEuaEOMXwIMRM4i+fi8vLyVHCuKCCmUkeu6+weePM8kNHR0ddHV15XY+LS0tjIyM5HY+Rdu7dw9HDh9i8JBhLFy0GC0tLSZN8vriPfjrzz9Zu3YtnTp1Yemy5ZQqXZpJk7yIioqStklKSsK1ihvt2rfPh6uQdebSdZZs2UOfNr+yee5E7G2sGDFzCRHRMVm2T0xKxqKECYM7tcRIP/t/K6WtzDm25nfpl8/0cXl1CZmcuXyTxVv306d1E7bM8sDexpJhc5YTEf0+y/ZJySlYmBoxuONv2V7TlsOn2XfmImN7tGPXgkkM6fQbW4+cYfepP/LwSmSdvnKbRTsO0bflz2ybMYqy1uYMnbcm2+u66f+En2u6stpzEBunDKOEoT5D5vnwLiIKgMTkZAKev6JPi0Zs8x7F78N78OLNO0YtWp9v1wRw+vJNFm89QJ/Wv7B11njsbSwYOmdFtteVmJyMhakxQzo2z/Z+ea/ZwdV7AUwb1J3/zfOkhrMjg2cuk157fjh505/5B87T/5fa7BzXEwcLUwau3EX4+7gs2+tpa9Hn55psGdWVvR69+K1GRaZsP8bf/k+lbWxMDZnQthH7JvRm08gumBvpMXDFLiLex+fLNRXRLkaMXyD3h037pvZFbS2petiH8D+u4uv2G8+WbaaijzfGDT+u0DRr+wvlfp/AP94r8K3Wkvd+AVQ/th4Nk6/XXstvBa0UirLKk+QuOTkZb29vatasScWKFenYsaO0/suHYcU//viDZs2aUbFiRdq1a8ejR49kznHjxg06deqEs7Mz9erVw9vbm/j4j79c7u7urF69mgkTJuDi4sKPP/7Irl27vjnGt2/fMmrUKKpVq0blypVp1aoVd+/eBT4Ope7Zswd3d3dpocKYmBi8vLyoUaMGrq6udOvWjYCAAJnzrlmzhlq1auHi4oKnpydJSUky+z8dlvXw8ODatWts2bIFBwcHHBwcCA4O/uZrgMzDsh9iP3jwIO7u7lSpUoWRI0cSGxsrbSORSPDx8ZFeW/PmzTl58qR0f3R0NKNHj6ZGjRo4OzvTqFEj9u3b911x5UR6ejqHDh6gfYeO1KxZk1KlSjN69FgiwsO5fPlStscdOLCfxo0b07BRI6ytbRgyZChampqcPn1K2qZFi5a0a9ceR0fHPL+Oz/3v6Bl+q1+bX3/6gVKW5ozv2xktDQ2OXvg7y/bly9gytGsbGv5QDXV19WzPW0RVFSN9PemXvq5OXl1CJjuOnaOFey2a/ViT0pZmePTugJaGBkf+uJxl+/J2Ngzr3IpGtdzQUMt6wMDv0TPqujlT29UJcxMj6ld3pbpzOR48fpGXlyJj+4k/afFjDZrXrUZpi5JM6NkGLU11Dv91Lcv23oO60LbBDzjYWGBrXoKJfdqTLknn2sN/ACherCgrPQbQsHplbM1MqVjGlnHdW+H/LJi3YZH5dl07jp2nhXstmv97vyb8e78OZ3O/KtjZMLxzy2zvV2JyMheu3WFYpxa4liuDVUkT+rVpilVJE/aduZjXlyO19cI1WtWsRIsaztiZGTOxfWO0NNQ5eDnrB7pXtbehfiUHSpc0xsrEgM4/VsXe3JTbTz6+7zZxq0ANR1ssjfUpY2bCmJb1iU1M4p/X7/LlmkJP/cWjKYsJOXT2m9rb9OtAwrNg/MfNJTbgKS9WbuftvlOUGt5D2qbUiJ68XL+b4M37ifV/wr1BU0iLT8SqR+s8uoqcS5ek5/hL+ChPkrt58+Zx6tQp5syZw4EDB7CxsaFPnz4yPSnz5s3Dw8ODvXv3YmhoyIABA0hJSQEgKCiIvn370qhRIw4fPsyiRYukhQM/tXHjRpycnDh48CCdOnVi6tSpPH36lK+Ji4ujS5cuhISEsHLlSg4dOkSfPn2QfDJmHxQUxKlTp1i+fDkHDx4EYPjw4YSHh7N27Vr2799PhQoV6N69u/S6jh8/zrJlyxg5ciT79u3DxMSEHTt2ZBuHl5cXLi4utGvXDl9fX3x9fTEzM/vGn3L2goKCOHfuHKtXr8bHx4fr16/LPEPPx8eHgwcPMm3aNI4dO0aPHj0YO3Ys165l/AFbsmQJT548Ye3atRw/fpypU6diYGCQ67i+5u3bt0RGRlK5sot0m7a2Ng4OjgT4+2d5TEpKCo8f/yNzjKqqKpUruxAQkPUx+SklNZXAp0FUrVhOuk1VVZWqFctx79HX/61+ycu37/i1/1haDfFk8tJ1vA0Lz2243yQlNZWAZy+p6vQxUVZVVaWqkyP3/sn5NTmXLcWN+4G8eBMCwKMXwdwNeEKtyuVzHfO3SElNJeB5MNUrlJVuU1VVpVqFsvg9fv5N50hMSiY1LQ097WLZtomNT0RFRYXi2kVzG/I3+XC/qjl9nKagqqpKNScH7v3zLEfnTEuTkCaRoKEh++FDU0OdO4FPchXvt0pJTcP/5VtqONhKt6mqqlDDwRa/56++enx6ejpXA5/z/F0EVcpYZfs99l26g05RTcpamMordLnSr1GZsPOySXroGV8MalQGQEVdHT3XCoSd++QDcno6YecvoV/DhYJGJHfyIfc5d/Hx8ezcuZPZs2dL54LNmDGDv//+m71791KxYkUg42G+P/zwAwBz5syhXr16nDlzhiZNmuDj40OzZs3o0aMHALa2tnh5edG1a1emTp2KpqYmkFEnpnPnzgD07duXTZs2cfXqVUqXLv3FGI8ePUpERAR79+5FX18fABsb2XkiKSkpzJs3T/rIkBs3buDn58fly5eljwYZP348Z8+e5dSpU7Rv354tW7bQpk0b2rZtC8DIkSO5fPlypt67D3R0dFBXV0dLS+ubnlH3rdLT05k9e7Z0Tlnz5s25fPkyI0eOJDk5GR8fHzZu3IiLS8YvtpWVFTdv3mTXrl1Uq1aN169fU65cOem9srS0lFtsXxIZmdGTYWCgL7NdX19fuu9zMTExSCQS9LM45uXLl3kR5neJioklTSLB8LOhLQN9HZ6/fpPj81awL8WkQT2wNi9JeGQ06/ceYcDk39m+YCraRbVyG/YXSa9JT7an0FBPhxev3+b4vN2bNyIuIZF2o2egqqqCRJLOwHbNaFy7Wm5D/iZR7+Oyvi5dHZ5/Y6/Nsl1HMTbQo9onCeKnkpJTWLbrKD/XcKF4Ht+nD7K/X7o8fx2So3NqF9Wion0p1u8/QSnzEhjq63Lq7xvce/QMy5Lyey/7ksi4eNIk6RjpastsN9LR5llI9h903ick0nDiClJS01BVVcGzXSNqOsrOf/3z/mPGbzxEYkoKxrrFWT24AwbFs0/YFUmzhDFJIWEy25JCwlDX00FVSxN1Az1U1dRIehf+WZtwtB2+/LdSESTpYmGEPMg9uQsKCiIlJQVXV1fpNnV1dZydnXny5Ik0YahcubJ0v76+PqVKlZL2ugUEBBAYGMiRI0ekbdLT05FIJAQHB2NnZwcgM2FeRUUFY2NjwsO/3nvh7+9P+fLlpYldVszNzWWeBRcYGEh8fDzVq1eXaZeYmEhQUBAAT548oUOHDjL7K1euzNWrV78akzxZWFjILBYwNTWV/lxevHhBQkICvXr1kjkmJSWFcuUyepc6duzIsGHDePjwIT/88AMNGjSQuZ/ycuHCeZYvWyp9PXXadLl/j8KqlktF6f/b21hSwb4ULQZ5cO7yDZq7Z66GrgzOXrnFSd/rzBjSg9KWZjx6EczCLfukCysKuk1HznH6ym18PAejqZF5OD01NQ2P5VtIT0/Ho2fmxxEpm+mDuzF99XaaDJ5IEVVVHEpZ0aiWGwHPghQd2hdpa2qy26MX8UnJXA18zoID57E01qeq/ccP+FXtrdnt0Yuo2Hj2XbrL2A0H2TamG0Y62l84syAPogdOPgrkatn4+Hg6dOhA165dM+37dNhS7bO5ICoqKt80qVJL6+ufmIsWlR0yiYuLw8TEhK1bt2Zqq6OTf3OdvsXnPxf4WBjyw7xFHx8f6XPxPvjQI1mvXj0uXLjAn3/+yd9//02PHj3o3Lkz48ePl2uc1avXwMHh49BeSkrGoonIyCgMDT8uEomKisq2N1ZXVxdVVVWiIqNktkdFRWFgmPdDyV+jr1ucIqqqRETJLp6IjHqPkb78VkvqaBfD2rwEwW/zfl6Q9Jo+m4wfEf3+iwtAvmbp9gN0/60RjWplzCEtY23Bm9AINh8+nS/Jnb6OdtbXFfMeI/0v/45vPXaBTUfPsXL8QOytM6+qzEjsNvM2LIJVEwblW68dfOl+xeTqflmWMGHNlBEkJCYRl5CIsYEeE5ZswMLUOLchfxMD7WIUUVUhPEZ28UT4+ziMdbNPwlRVVbA2yXhvcLQswbOQcNafviKT3BXT1MDaRANrEwOcS1nQbLoPBy/70btRzby5mFxICglDs4Tsz1yzhDEp0e+RJCaRHBaJJDUVTVOjz9oYkfRWtsevIBDJnXzIfc6dtbU16urq3Lp1S7otJSWFe/fuUaZMGem2O3fuSP8/Ojqa58+fS/+Aly9fnsePH2NjY5Pp60MCkhsODg74+/vLzAH8mgoVKhAWFkaRIkUyxfShh8/Ozk66KOODz19/Tl1dXWauX16zs7NDQ0OD169fZ7qOTxNnQ0NDWrZsyfz58/H09PyuxSrfqlixYpibm0u/rK1tMDAw4O7dO9I28fFxBAYG4FiuXJbnUFdXp0wZe+58coxEIuHOnTs4OmZ9TH5SV1PDobQ11+9/XHgjkUi4ft+fimXlNyQSn5jIq7ehck0Ys6OupoZjKSuu3//4uB2JRMKNB4FUtM/5NSUmp2QqeVJEVTXfSiOoq6nhaGspXQwB/96rB//gnE3JEIDNR8+z7tAZlo3tR/nSmedufUjsgt6GsdJjIPr53PuT3f26/uARFe2zLsfzPYpqaWJsoEdMbDxX/Pyp61bx6wfJgbpaEcpZleTqo+fSbRJJOlcfvcDZ9sulkz4lSU8nJTX1q22Sv9JGUaKu3MHIXfbDj3H9WkReuQNAekoK0bceYOz+SWKqooLRTzWJunI7HyMV8pPce+6KFStGx44dmTdvHnp6epibm7Nu3ToSExNp06aNdHXpypUrMTAwwMjIiEWLFmFgYECDBhm1vPr27Uv79u2ZPn06bdu2pWjRojx+/JhLly4xefLkXMfYtGlTVq9ezeDBgxk1ahSmpqY8fPgQU1NT6Ty0z9WqVYvKlSszePBgxo4di62tLe/evePPP/+kQYMGVKxYkW7duuHh4YGTkxOurq4cOXKEf/75ByurrCfrQsYQ6t27dwkODqZYsWLo6+ujqpp3FWqKFy9Or169mD17Nunp6VSpUoX3799z69YtihcvTsuWLVmyZAkVKlTA3t6e5ORk/vjjD+lQeF5SUVHhtxYt2bnzf5ibm1OyREm2bt2CoZERNWvWkrbznOBBzVq1aNasOQAtW7Zi4cL52NvbU7asA4cOHSAxKZGGDRtJj4mIiCAyMpI3r18D8Pz5c4oWLYqpqWme97x2/LUhM1ZspFxpG8qXKcWu42dJTEqm6Y8Zc06nLd+AiaE+gzq1AjImwD8LzpiPl5qaSmhEFI+ev6SoliZWJTMmdS/dsofabs6UNDYiLDKatbsPZzzQOp/mp3VqWp9pq7ZQrrQ1FcrYsvPEeRKSkqQ9bFNWbsbUQJ/BHX/LdE0pqWmERma+pjquTmw6eIqSRoaUtjIj8PlLdhw/T7Mf86+3pPMv9Zi65n+UL2VFhdLW7Dj1JwlJyTSrm/Fznbx6B6YGugxp/ysAm46ew2ffSbwHdcHM2JCwf3toi2lpUkxLk9TUNMYt20Tg81csGtWbNIlE2kaveDHUs1k5LG+dmrozbdVW6f3634kLJCQl0Ux6v7ZgYqDHkE/u19N/a/elpKYSGhlF4PNgimlpYvXvnLrLdx+Sng425qYEvw1lyY6D2JqXoHm9/LtfXX+qxqRtR6lgbYaTjRnb/rhBQlIyLWpkVDjw2nIEU30dhjf/EYD1py9T3rokVsYGJKemcvHBE45de4BX+58BiE9KZt2py/xYsQzGesWJik1g58WbvIt6T0OX/FlpX0S7GNplrKWvi5WyRLeSI8kR0SS+fIOD9yi0LEpwt2fGSMqLNTuxGdQZx9ljeblpH8Y/1cCs7S9cb95feo5nizdSacNcom7eJ/q6H7bDuqOmXZSXm/fnyzV9D1HSRD7y5J1lzJgxpKenM27cOOLi4nBycmLdunXo6X3sVRg9ejQzZ87k+fPnlCtXjlWrVkl75RwdHdm6dSuLFy+mU6dOQMak/yZNmsglPg0NDTZs2MDcuXPp168faWlp2NnZMWXKlGyPUVFRYc2aNSxevJgJEyYQGRmJsbExbm5uGBtndIk3adKEoKAgfv/9d5KSkvj555/p2LEjvr6+2Z63V69eeHh40LRpUxITEzl37lyeL2AYMWIEhoaG+Pj4EBwcjI6ODuXLl2fAgAFARm/YwoULefXqFVpaWlSpUoWFCxfmaUwftGnTlsTERJYtW0pcbCzlK1RgxnRvmR7bN29eExMdLX1dt149omOi2bZ1K5GRkZQuXZrp071lVvieOH6MHTu2S1+PHzcGgBEjR8kkgXmhYa2qRMW8Z+3uw4RHxWBva8kiz2HSIbG3YREyPVahEVF0G/dxZfj2I6fZfuQ0LuXLsmpqRtzvIiKZvGQd0e/j0NctTiXHMqyb6YFBPpVDaVizCpEx71mz9yjhUe8pa2PBEo/B0msKCYtE9dNrioymy4Q50tfbjp5j29FzuJazZ/XkEQCM6dEOn91HmbdxJ5HRsRgb6NGyfm36tP4lX64JoFENFyLfx7J630nCo2Moa23BsrH9MPp3McLbcNnr2nfuEimpaYxfulnmPH1bNqJ/q8a8i4zmr1sPAOg0UfbB46s9B+FWrgz5oVHNKkTFxOKz95j0fi395H5l+jeY7f0qg8+/9ys2PpEVOw/zLiIK3eLFcK9WmUHtm6GmViRfrgmgcZVyRMbGs/LYRcLex+FgYcrKQe2liyzeRsbI3K+E5BRm7T5NSNR7NNXVKFXCiJndmtG4SkYvfxFVVZ6FhHP42j2i4hLQL1aUCjYl2TiiC2XM8mehiF4VJ2qe+zj9p/x8TwBebtmPX+8JaJqZUNTq4yhLwvNgrjfvT/kFE7Ad2o3E4Lfc6z+RsDMf/+682XMCDRNDyk4ZllHE+K4/137tQ/K7/Flh/z3ycySrMFNJz+c0+erVq3Tr1o3r16/LtZivULA8fpKzEgsFWRm7UkTe/VPRYcidQaV6RN/6tppaykTPtQHvrx1TdBhyp1OtKTG3zig6DLnSdW1I4umNig5D7rQa9eSYusPXGyqZpimBX2+UQ7/2fZjjY4+uzZ+yScqgQC6oEARBEAThvyddlEKRi0KZ3H0o3puVKlWqsG7dunyO6NtNnjxZpgTMp5o1a8b06aJciCAIglA4idWy8pHvyV316tUJDMy7Ll2ADh068MsvWc/T+ZYyKIo0fPhwevfuneW+/HzQvSAIgiDkN5HcyUeh7LnT19f/YoHigszIyAgjI6OvNxQEQRCEQkY8oUI+CmVyJwiCIAiC8hE9d/KRdwXVBEEQBEEQhHwneu4EQRAEQSgQ0kWdO7kQyZ0gCIIgCAWCGJaVD5HcCYIgCIJQIIg6d/IhkjtBEARBEAoEiei5kwuR3AmCIAiCUCCIOXfyIVbLCoIgCIJQIKRL0nP8lVdWrVpFhw4dqFSpEm5ubt92HenpLFmyhNq1a+Ps7EyPHj14/vy5TJuoqChGjx6Nq6srbm5ueHp6EhcXJ5eYRXInCIIgCEKBkJ4uyfFXXklJSaFx48Z07Njxm49Zu3YtW7duZerUqezevZuiRYvSu3dvkpKSpG3GjBnD48eP2bhxI6tXr+bGjRtMnjxZLjGL5E4QBEEQhAKhIPbcDRs2jB49elC2bNlvu4b0dLZs2cLAgQNp0KABjo6OzJs3j3fv3nH27FkAnjx5wsWLF/H29pb2CE6cOJFjx44REhKS65hFcicIgiAIgiAnwcHBhIaGUqtWLek2HR0dKlWqxO3btwG4ffs2urq6VKxYUdqmVq1aqKqq4ufnl+sYxIIKQRAEQRAKhNwsqEhOTiY5OVlmm4aGBhoaGrkN67uEhoYCZHpOvJGREWFhYQCEhYVhaGgos19NTQ09PT3p8bkhkjshT5SxK6XoEPKEQaV6ig4hT+i5NlB0CHlCp1pTRYeQJ3RdGyo6BLnTatRT0SHkiaYpgYoOQan4Hsn5e+yyZctYvny5zLYhQ4YwdOjQTG3nz5/P2rVrv3i+48ePY2dnl+N4FEkkd4IgCIIgKL3+/fvTs6fsh4Tseu169epFy5Ytv3g+KyurHMVhYmICQHh4OKamptLt4eHhODo6AmBsbExERITMcampqURHR0uPzw2R3AmCIAiCoPS+ZwjW0NAw07CovFhaWmJiYsLly5cpV64cALGxsdy9e1e64tbFxYWYmBju37+Pk5MTAFeuXEEikeDs7JzrGMSCCkEQBEEQhGy8fv0af39/Xr9+TVpaGv7+/vj7+8vUpGvcuDFnzpwBQEVFhW7durFq1SrOnTtHYGAg48aNw9TUlAYNMqbA2NnZUadOHSZNmoSfnx83b95kxowZNG3alBIlSuQ6ZtFzJwiCIAiCkI2lS5dy4MAB6esWLVoAsGXLFqpXrw7As2fPeP/+vbRN3759SUhIYPLkycTExFClShXWrVuHpqamtM38+fOZMWMG3bt3R1VVlUaNGjFx4kS5xKySnp4uHuQmCIIgCIJQSIhhWUEQBEEQhEJEJHeCIAiCIAiFiEjuBEEQBEEQChGR3AmCIAiCIBQiIrkTBEEQBEEoRERyJwiCIBRar1+/JquiEOnp6bx+/VoBEQlC3hPJnSAIeSo1NZVLly6xc+dOYmNjAQgJCZEpAKpsbty4wZgxY2jfvj0hISEAHDx4kBs3big4MuFz9evXz/SYJ4CoqCjq16+vgIjk48CBA/zxxx/S1/PmzcPNzY0OHTrw6tUrxQUmFAgiuROU0sGDB+nQoQO1a9eWvpFt2rSJs2fPKjiynClXrhzh4eGZtkdGRkofX6OMXr16RbNmzRg0aBDTp08nMjISgLVr1zJ37lwFR5czp06donfv3mhpafHw4UOSk5OBjMcL+fj4KDi63AsJCeH48eNs27aNLVu2yHwpo/T0dFRUVDJtj4+Plykoq2xWr14tjf/27dvs2LGDsWPHoq+vz+zZsxUcnaBo4gkVgtLZsWMHS5cupXv37qxevRqJRAKArq4umzdvlj7eRZlkV0s8OTkZdXX1fI5GfmbOnImTkxOHDh2SVnIHaNiwIZMmTVJgZDm3atUqpk2bRosWLTh27Jh0u6urK6tWrVJgZLm3f/9+Jk+ejLq6OgYGBjL7PjxSSVl8SHBUVFRYvHgxRYsWle5LS0vDz89P+hB3ZfT27VtsbGwAOHv2LI0aNaJ9+/a4urrStWtXBUcnKJpI7gSls23bNry9vWnQoAFr1qyRbndyclK63qAPvSEqKirs2bOHYsWKSfdJJBKuX79O6dKlFRVert28eZP//e9/mR7mbWFhIR3OVDbPnj3Dzc0t03YdHR1iYmIUEJH8LFmyhMGDB9O/f39UVZV7YOfhw4dAxgenR48eyXxI0tDQwNHRkV69eikqvFwrVqwYUVFRmJub8/fff9OjRw8ANDU1SUpKUmxwgsKJ5E5QOsHBwVkOVWpoaJCQkKCAiHJu06ZNQMYfoJ07d8r8QVVXV8fS0pJp06YpKLrck0gk0p7VT719+xZtbW0FRJR7xsbGBAUFYWlpKbP95s2bWFlZKSgq+UhMTKRp06ZKn9gBbN26FYAJEybg5eVF8eLFFRyRfNWqVYuJEydSrlw5nj9/Tr169QD4559/sLCwUHB0gqKJ5E5QOpaWlvj7+2d6A7t48SJ2dnYKiipnzp8/D0DXrl1Zvnw5enp6Co5Ivn744Qc2b97MjBkzpNvi4uJYtmyZ9I+RsmnXrh0zZ85k1qxZqKioEBISwu3bt5k7dy6DBg1SdHi50rp1a06ePEm/fv0UHYrcFNb5Z1OmTGHx4sW8efOGpUuXSofRHzx4QNOmTRUcnaBoKunZTfYRhAJqz549LFu2DA8PD7y8vPD29iYoKIg1a9bg7e0t3tgKkLdv39K7d2/S09N58eIFTk5OPH/+HAMDA7Zv346RkZGiQ/xu6enprF69mjVr1kh7ijU0NOjVqxcjRoxQbHC5lJaWRv/+/UlKSqJs2bKoqcl+/p8wYYKCIvs+Q4YMYc6cORQvXpwhQ4Z8se3y5cvzKSpByD+i505QOm3btkVTU5PFixeTkJDA6NGjMTU1xdPTU2kTu7S0NPbv38+VK1cIDw/PNJSprCsVS5YsyaFDhzh27BiBgYHEx8fTpk0bmjVrhpaWlqLDyxEVFRUGDhxI7969CQoKIj4+Hjs7O6UdZv6Uj48Pvr6+lCpVKtO+rFacFlQ6OjpZ/n9hc+PGDXbu3ElwcDBLliyhRIkSHDx4EEtLyyznhQr/HaLnTlBqCQkJxMfHK2UP0KemT5/OgQMHqFevHiYmJpn+kHp6eiooMuG/pGrVqkyYMIFWrVopOhThK06dOsW4ceNo1qwZhw4d4vjx41hZWbFt2zb+/PNP1q5dq+gQBQUSPXeC0unWrRvLly9HV1eXokWLSkscxMbGMmjQIKXs5Tp27BiLFy9W2nloXxISEsLNmzeJiIjI1COpTKU1PkhKSmLr1q1cvXqV8PDwTGVsDhw4oKDIck9DQwNXV1dFhyF8g8JckkfIPZHcCUrn2rVrpKSkZNqelJTEzZs3FRBR7qmrq2Ntba3oMOSuMNVN+8DT05O///6bn3/+GWdnZ6Uarvyabt26sW3bNiZOnKjoUOQmMjKSpUuXZpuMX7t2TUGR5U5hLskj5J5I7gSlERAQIP3/x48fExoaKn0tkUi4ePEiJUqUUERoudarVy+2bNnC5MmTC1WyUJjqpn3wxx9/sGbNGqpUqaLoUOTOz8+PK1eucOHCBezt7TMtqFDGxQfjxo0jKCiI1q1bY2xsXGh+vwpzSR4h90RyJyiNFi1aoKKigoqKCt27d8+0X0tLS2l7HG7evMnVq1f566+/Cs0fVShcddM+KFGiRKFYPJEVXV1dGjVqpOgw5OrGjRv873//U+qnUWSlMJfkEXJPJHeC0jh37hzp6ek0aNCAPXv2YGhoKN2nrq6OkZERRYoUUWCEOaerq0vDhg0VHYbcFca6aePHj2f+/PlMmzat0BWLLYw14UqXLk1iYqKiw5C7fv36IZFI6NGjBwkJCXTp0kVakkc8fkwQq2UFQcgzhaVu2qciIiIYPnw4N27cQEtLK9Ozf5V1Dldh5efnx4IFCxg8eDD29vaZ7peyP7kiOTm50JXkEXJP9NwJSuvx48e8fv060+KK+vXrKygi4XOFpW7ap0aNGsW7d+8YOXJkoZrD9eeff3L69Gn09PRo3bq1zNNeoqOjGTp0qFKuRNfV1SU2NjbTVI709HRUVFTw9/dXUGTyoaGhQZkyZRQdhlDAiJ47Qem8fPmSwYMH8+jRI1RUVKSr3z78kVXGN2t3d/cvJgnnzp3Lx2jkpzDWTatUqRK7du0qVHO4jhw5wvjx46lTpw7v37/n/v37eHt707x5cwDCwsKoU6eOUv5utWnTBjU1Nbp164aRkVGm37Nq1aopKLLciY+PZ82aNdkWPlfW9wxBPkTPnaB0Zs6ciaWlJZs2baJ+/frs3buXyMhI5s6dy/jx4xUdXo583quQmprKw4cP8fX1pXfv3gqKKvcKY920wjiHa/369Xh4eEhL0xw/fhwvLy+SkpJo27atgqPLnX/++YcDBw5QunRpRYciVxMnTuTatWv89ttvWRY+F/7bRHInKJ3bt2+zefNmDA0NUVVVRUVFBTc3N0aNGoW3tzcHDx5UdIjfLavVvwDbt2/n/v37+RyN/BTGummjR49mzpw5jBw5krJlyxaKOVwvXrzgp59+kr5u0qQJhoaGDBw4kNTUVKVe7OPk5MTbt28LXXL3119/4ePjUyhL8gi5J5I7QelIJBLppGEDAwPevXtH6dKlsbCw4NmzZwqOTr7q1q3LggULlHYVY2Gsm9anTx8AevToIbNdmedwaWtrEx4eLlMfrUaNGvj4+NC/f3/evn2rwOhyp0uXLsycOZPevXtnuahHWYfXdXV10dfXV3QYQgElkjtB6djb2xMYGIiVlRWVKlVi3bp1qKurs3v37kJXvPPkyZNK/QZeGOumKeOigq9xdnbmr7/+onLlyjLbq1WrxurVqxkwYIBiApODkSNHArLPZ/4wV1dZk3GA4cOHs2TJEubOnSt9BKMgfCAWVAhK5+LFiyQkJNCoUSNevHhB//79ef78Ofr6+ixatIiaNWsqOsTv9qFA8wfp6emEhYURERHBlClTaN++vQKjEwq7a9eucfv2bfr375/l/itXrnDo0CGl7EF+9erVF/cra63CFi1aEBQURHp6OpaWlpl6JJX5GcdC7onkTigUoqKi0NPTU9pJxZ8PT6qoqGBoaEi1atVkSlIoq4iICJ4+fQpkLEj4tAC1MoqJiWHv3r08efIEyOhNbt26NTo6OgqOTPiv+NqUhiFDhuRTJEJBJJI7QamkpKRQqVIlDh48SNmyZRUdjvAV8fHxzJgxg0OHDklLNRQpUoTffvuNSZMmKeVw0r179+jTpw+ampo4OztLtyUmJrJhwwYqVKig4AjlLzU1lXfv3mFubq7oUL7JuXPnqFu3Lurq6l8tCSLqYgqFkUjuBKVTv359VqxYobQTobOTlpbG2bNnZXqD3N3dlfaRagCTJ0/m0qVLTJo0Sbqq7+bNm3h7e1OrVi2mTZum4Ai/X6dOnbCxsWHGjBnSobDU1FQmTpzIy5cv2b59u4IjlL+AgABatmypNPPTHB0d+fvvvzEyMvri+4Qyz7kThC8RyZ2gdPbs2cOZM2eYN2+eUi82+NSLFy/o168fISEh0qc5PHv2jJIlS7JmzRqsra0VHGHOVK9enaVLl1K9enWZ7VeuXGHEiBFcuXJFQZHlnLOzMwcOHMg0XP748WNat27N3bt3FRRZ3lG25K6wqlatGidPnsTQ0JCqVat+cRqKeAzef5tYLSsone3bt/PixQvq1KmDubk5xYoVk9mvjBOJvb29sbKyYteuXdKENTIykrFjx+Lt7c2aNWsUG2AOJSYmYmxsnGm7kZGR0hYCLl68OG/evMmU3L1580Zpn+vZsmXLL+5X1ntV2EyYMEFaR/HT1b+C8DmR3AlKp0GDBooOQe6uX78uk9hBRg2/MWPG0LFjR8UFlkuVK1dm6dKlzJs3D01NTSAjUVi+fHmmshvKokmTJnh5eTF+/HhcXFwAuHXrFvPmzaNp06YKji5nHj9+TNOmTbG0tMxy/7t373j+/Hn+BpUL31Ou5sNTOZTBp0n41xJy4b9NJHeC0vnWVWBHjx7F3d09U89eQaShoUFcXFym7XFxcZmegKBMvLy86N27N3Xr1pXOfQoICEBTU5P169crOLqcGTdunPS/aWlpAKipqdGxY0fGjBmjyNByzN7eHmdnZzp16pTlfn9/f/bs2ZPPUeXcpk2bvqmdioqKUiV3sbGx39xWGZ+UIsiPmHMnFFqurq4cOnRIKQobjxs3jocPHzJz5kzpCsy7d+8yadIkKlSowJw5cxQcYc4lJCRw5MgRaSkUOzs7mjVrhpaWloIjy52EhASCgoIAsLa2VsqVvx94e3ujoqKCl5dXlvuDgoLw8vJi69at+RyZ8ClHR8evlntS9uLMgnyI5E4otFxcXDh8+LBSJHcxMTGMHz+eCxcuSFdgpqWl4e7uzpw5c0T9tALk/fv3pKWlZVrMExUVhZqamugxUVLK8GHwexZJVKtWLQ8jEQo6MSwrCAWArq4uq1at4vnz5zI9XDY2NgqOLHd8fHwwMjKiTZs2Mtv37t1LREQE/fr1U1BkOTdy5Eh++uknOnfuLLP9xIkTnD9/nrVr1yoosvwzdepUhg0bpvTFqD+lDP0cOUnYCuO9Er5OVdEBCILwka2tLe7u7ri7uyt9Ygewa9cuSpcunWm7vb09O3fuVEBEuefn50eNGjUyba9WrRp+fn4KiCj/HT58OMs5okLBI+7Vf5PouROEAiA9PZ2TJ09y9epVIiIipE9z+OBrjxoqqEJDQzExMcm03dDQkNDQUAVElHvJycmkpqZm2p6amvqfKRmiDL1cQgZxr/6bRM+dIBQAM2fOZNy4cQQHB1OsWDF0dHRkvpSVmZkZt27dyrT95s2bmJqaKiCi3KtYsSK7d+/OtH3nzp2F8tFjgiAoH9FzJxRaFhYW0sUJBd3hw4dZvnw59erVU3QoctW2bVtmzZpFamqqdCjz8uXL/P777/Tq1UvB0eXMiBEj6NmzJwEBAdSsWRPIuKZ79+6xYcMGBUcn5NTXVqEKgjJRjr98gvCJ+vXrs3fvXgwMDGS2x8TE0LJlS+mDwo8ePaqI8HKkePHi2RaQVWZ9+vQhKiqKadOmkZKSAoCmpiZ9+vShf//+Co4uZ6pUqcKuXbtYt24dJ06cQFNTEwcHB2bOnImtra2iwxNySAxfCoWJSO4EpfPq1atMc9IgYy5USEiIAiLKvaFDh7JixQpmzZql9PXfPqWiosLYsWMZNGgQT548QUtLC1tbWzQ0NBQdWq6UK1eOBQsWKDoM4RssX76c3r17Z6pDmJiYyLp166RF0deuXUuJEiUUEaIgyJ1I7gSl8aFHDuDixYsyc9EkEgmXL1/GwsJCEaHl2i+//MLRo0epWbMmlpaWmYaTlfF5uZ/S1taWFmcuDCQSCS9evCA8PDxTj0/VqlUVFFXuvX79GjMzs0xDlOnp6bx58wZzc3MAmjdvrjTP0V2xYgUdO3bMlNwlJCSwYsUKaXLn5uamiPByrDDeK0F+RBFjQWl8eHyViopKpj+oampqWFhY4OHhwU8//aSI8HJl+PDhXL16lZ9//hljY+NMb9jf+si1giY+Pp41a9Zw5coVwsPDM/W4fpqwK4s7d+4wevRoXr9+nenfobI/GaBcuXL4+vpiZGQksz0yMpJatWop5bU5Ojpy6dKlTHXeLl++zMiRI7ly5YqCIsudwnivBPkRPXeC0ggICADA3d2dvXv3FqqinH/++Sfr1q1Tut6Dr5k4cSLXrl3jt99+w8TEpFBMWp8yZQpOTk6sWbOm0FzTBx8eXfW5+Ph4NDU1FRBRzlWtWhUVFRVUVFT4+eefZa4rLS2N+Ph4OnTooMAIc6cw3StB/kRyJyid8+fPZ9oWExODrq6uAqKRj5IlSxbKx1b99ddf+Pj4UKVKFUWHIjcvXrxg6dKlhaLI9AezZ88GMnoeFy9eLDOEmZaWhp+fn7TnXFl4enqSnp6Op6cnQ4cOlZnGoa6ujoWFBS4uLgqMMGcK470S5E8kd4LSWbNmDZaWljRp0gSAYcOGcfr0aUxMTFi7dq1SvrF5eHjw+++/M23atEK1alZXVzfTM1iVnbOzMy9evChUyd3Dhw+BjN6gR48eoa6uLt2noaGBo6Oj0pWuadmyJQCWlpa4uLjIXJMyK4z3SpA/MedOUDru7u7Mnz8fV1dX/v77b0aMGMGiRYs4ceIEb968UcpaY1WrViUhIYG0tDS0tLQy/SH6ngeGFySHDh3i3LlzzJ07N9OEdmV15swZFi9eTO/evSlbtmymxS/K+OHigwkTJuDl5aX0vcixsbHSa4iNjf1iW2W91sJyr4S8IZI7Qek4Oztz6tQpzMzM8Pb2Jjk5menTp/Ps2TPatWvH9evXFR3id/vaatgPvRDKpkWLFgQFBZGenl5oVgFnlbx9WOSj7AsqPhcbG8uVK1coVaoUdnZ2ig7nm3262MDR0THLuWmF8X4JwgdiWFZQOrq6urx58wYzMzMuXrzIiBEjgIw367S0NMUGl0PKmrx9TYMGDRQdgtwp4wrfbzV8+HCqVq1Kly5dSExMpHXr1rx69Yr09HQWLlzIzz//rOgQv8nmzZvR09MDYMuWLQqORn6GDBnCnDlzKF68+FdX0Cvr86gF+RDJnaB0GjVqxJgxY7CxsSEqKoq6desC4O/vXyjmQSUlJUmf5vCBsg69KGsJly9R1lqK3+LGjRsMHDgQyBh+Tk9P5/r16xw4cIBVq1YpTXJXrVq1LP9f2X26KESZnzkt5D0xLCsonZSUFLZs2cKbN29o1aoV5cuXB2DTpk1oa2vTtm1bBUf4/eLj45k/fz4nTpwgKioq034xdKRY586do27duqirq3+1565+/fr5FJX8fTrlYdy4cZiamjJmzBhev35N06ZNuX37tqJD/CYfyiZ9C2WeIykI2RE9d4LSUVdXp3fv3pm29+jRI/+DkZPff/+dq1evMnXqVMaNG8fkyZMJCQlh165djB49WtHhfZdq1apx8uRJDA0NpbXGsqMsC0UGDx7M33//jZGREYMHD862nbLP4TIzM+P27dvo6elx8eJFFi5cCGSUGlKmR8a1aNFCZh7klyjz/RKE7IjkTlBKBw8eZNeuXbx8+ZJdu3ZhYWHBpk2bsLS0VMp5XhcuXGDu3LlUr16dCRMm4Obmho2NDebm5hw5coTmzZsrOsRvNmHCBOkwsqenp4KjkY9Pe4K+p1dI2XTr1o2xY8dSrFgxzM3NqV69OgDXr1+nbNmyCo7u233au+rv78/cuXPp3bs3lStXBjKeMrJx40bGjh2roAhz5kPS+i2UcbGSID8iuROUzo4dO1i6dCndu3dn9erV0kda6erqsnnzZqVM7qKjo7GysgIy5tdFR0cDUKVKFaZNm6bI0L7bp4tDvnWhyJo1a+jQoYNSF6L+XLNmzVizZg1mZmaKDuWbde7cmUqVKvHmzRtq1aqFqqoqAFZWVtKFS8rg03mRw4cPZ+LEidSrV0+6zdHRETMzM5YsWaJU7xefxpqUlMSOHTsoU6aMNGm9e/cu//zzD506dVJQhEJBIZI7Qels27YNb29vGjRowJo1a6TbnZycmDt3rgIjyzlLS0uCg4MxNzendOnSnDhxAmdnZy5cuPCfmDi9evVqfvnll0KV3AUHB5OamqroML6bk5MTTk5OMtt+/PFHxQQjB48ePcqyMLilpSWPHz9WQEQ59+kCJS8vL7p27Zop6V66dClv3rzJ58iEgkYkd4LSCQ4Oply5cpm2a2hokJCQoICIcq9169YEBARQrVo1+vXrx4ABA9i2bRupqal4eHgoOrw8J9Z1FRxv377l3LlzvHnzJtOq7QkTJigoqpyzs7PDx8cHb29v6bzB5ORkfHx8lKp23+dOnjzJvn37Mm1v3rw5rVu3lj6mTPhvEsmdoHQsLS3x9/fPVJLi4sWLSvtm/elikFq1anHixAkePHiAtbW1WM0n5JvLly8zcOBArKysePr0Kfb29tI6dx9WpSubadOmMWDAAOrVq4eDgwMAgYGBqKiosHr1agVHl3NaWlrcunULW1tbme23bt1CU1NTMUEJBYZI7gSl07NnT6ZPn05ycjIAfn5+HD16lDVr1uDt7a3g6OTDwsIiy3pqyjiPS1AeCxYsoFevXgwbNgwXFxeWLVuGoaEhY8aMoU6dOooOL0ecnZ05e/YsR44c4enTpwA0adKEX3/9lWLFiik4upzr3r07U6dO5eHDh1SsWBHIeC/ct28fgwYNUnB0gqKJ5E5QOm3btkVTU5PFixeTkJsZETEAABrcSURBVJDA6NGjMTU1xdPTk6ZNmyo6vDylrPO4BOXw5MkTafkTNTU1EhMT0dbWZvjw4QwaNEhpJ+oXK1aM9u3bKzoMuerXrx+WlpZs2bKFw4cPA1C6dGlmzZpFkyZNFBydoGgiuROUSmpqKkePHqV27do0b96chIQE4uPjMTIyUnRogqD0ihUrJp1nZ2JiQlBQEPb29gBERkYqMrRcKWylkz5o0qSJSOSELKkqOgBB+B5qampMmTKFpKQkAIoWLSoSu0LAzc2t0M0Tmj59utL926xUqRI3b94EoF69esydO5dVq1bh6elJpUqVFBxdzuzYsYM5c+ZQt25dYmJiMpVOUmYxMTHs2bOHhQsXSp9s8+DBA0JCQhQbmKBwoudOUDrOzs5ZLqgQCobY2Nhvbvuh2PHatWvzKpw8ce3aNTZs2MCTJ0+AjBWZffr0wc3NTdqmWbNmigovxyZMmEBcXBwAQ4cOJS4ujuPHj2Nra6u0q7YLY+kkyCim3bNnT3R0dHj16hVt27ZFX1+f06dP8+bNG+bNm6foEAUFEsmdoHQ6duzInDlzePv2LRUqVKBo0aIy+8XqUsVyc3P7ahX9D4+FUsZHPx06dAhPT08aNmxI165dgYwVij169GD27NlKmdR98KGQNmQM0U6fPl2B0chHYSydBDBnzhxatmzJuHHjcHFxkW6vV68eY8aMUWBkQkEgkjtB6YwaNQpAZmXsp8+RVMaEoTDZsmWLokPIU6tXr2bs2LEy5Wu6devGxo0bWblypVInd4VRYSydBHDv3r0sk+8SJUoQGhqqgIiEgkQkd4LS+fS5kf81yjCPq1q1aooOIU+9fPmSn376KdN2d3d36UpTZVK1atVvfl7ptWvX8jga+SuspZM0NDSynALx/PlzDA0NFRCRUJCI5E5QOoV1rt3ly5e5fPky4eHh0knfH3yoNq+svUIJCQm8fv060xMPlHEI3czMjMuXL2NjYyOz/dKlS0pZf9DT01PRIeSpwlo6yd3dnRUrVrB48WLpttevXzN//nwaNWqkuMCEAkElXTz3R1BCBw8eZOfOnQQHBxeK0gbLly9nxYoVODk5YWJikqknZcWKFQqKLHciIiKYMGECf/31V5b7lXEIfceOHcyaNYvWrVtL5zrdunWLAwcO4OXlRYcOHRQcYd5bs2YNHTp0KPDPAv60dJKxsXGhKp30/v17hg0bxv3794mLi8PU1JSwsDAqV67MmjVrlLpAs5B7IrkTlM6OHTtYunQp3bt3Z/Xq1Rw9ehQrKyv279/PgQMH2Lp1q6JD/G61a9dmzJgxtGjRQtGhyNXo0aN5/fo1np6edOvWjeXLlxMWFsaqVavw8PBQ2gfSnzlzhg0bNkifeFC6dGl69+6tlB8scsLV1ZVDhw7JLMAoqCpVqsTx48cLbY//zZs3CQgIID4+ngoVKlCrVi1FhyQUAGJYVlA6hbG0QUpKCq6urooOQ+6uXr3KypUrqVixIioqKpibm/PDDz9QvHhxfHx8lDa5a9iwIQ0bNlR0GAqjTH0ChbF0UkpKCpUqVeLgwYNUqVKFKlWqKDokoYARRYwFpVMYSxu0adOGI0eOKDoMuYuPj5dO7tbT0yMiIgKAsmXL8vDhQ0WGlmP169fP8mkNMTEx1K9fXwERCV/yoXTStm3buH37NgEBATJfykhdXR0zM7NMc3MF4QPRcyconcJY2iApKYndu3dz+fJlHBwcUFOT/dWcMGGCgiLLnVKlSvHs2TMsLS1xcHBg165dWFpasnPnTkxMTBQdXo68evUqyz+qycnJ4skABVBhLZ00YMAAFi5cyLx589DX11d0OEIBI5I7QekUxtIGgYGB0pWjjx49ktn3rWUqCqJu3bpJa24NGTKEPn36cOTIEdTV1ZkzZ46Co/s+n5bguXjxIjo6OtLXEomEy5cvF6qhv8KisJZO2r59Oy9evKBOnTqYm5tnWkBx4MABBUUmFARiQYWglA4fPszy5csJCgoCwNTUlKFDh9K2bVsFRyZ8SUJCAk+fPsXMzEzpanF9SL4/9Pp8Sk1NDQsLCzw8PLKsgVfYuLi4cPjwYaVYUFFYLV++/Iv7hwwZkk+RCAWRSO4EpVaYShsIysHd3Z29e/cqXXIqT3379mXmzJmYmpoqOpSv8vHxwcjIiDZt2shs37t3LxEREfTr109BkQlC3hHJnaB0PpTU+LzGVmxsLIMGDVLax1/du3ePEydO8ObNm0zFfr/2Kb2g+tpcwQ/FmQujZs2asWbNGqUqbPzgwQPU1NRwcHAA4OzZs+zfv58yZcowZMgQNDQ0FBzh93N3d2f+/PmZVqPfvXuXkSNHcv78eQVFljt+fn6kp6dTqVIlme13795FVVWVihUrKigyoSAQq2UFpXPt2rVMyQ9kLEq4efOmAiLKvWPHjtGxY0eePn3KmTNnSE1N5Z9//uHKlSsyc7uUTUxMjMxXREQEV69e5cyZM7x//17R4eWp4OBgUlNTFR3Gd5k8eTLPnz8HMh6zNmrUKIoWLcrJkyf5/fffFRtcDoWGhma5eMfQ0FCpn8E6ffp03rx5k2l7SEhIls+cFf5bxIIKQWl8Wrbg8ePHMm/MEomEixcvUqJECUWElmurV69mwoQJdO7cGRcXF7y8vLC0tGTy5MlKu6oUsn6yhkQiYerUqWK+VgH0/PlzaZmhEydOULVqVRYsWMDNmzcZNWoUXl5eCo7w+5mZmXHr1q1M/95u3rypFMPK2Xny5AkVKlTItL1cuXI8fvxYAREJBYlI7gSl0aJFC1RUVFBRUaF79+6Z9mtpaTFx4kQFRJZ7L1++pF69ekBGvb74+HhUVFTo0aMH3bt3Z9iwYQqOUH5UVVXp0aMH3bp1o2/fvooOR/hEenq6tMzL5cuXpUWmzczMsqztpwzatm3LrFmzSE1NpUaNGkDGtf3+++/06tVLwdHlnIaGBmFhYZmS1tDQ0EyllIT/HvEvQFAa586dIz09nQYNGrBnzx6ZCe3q6uoYGRlRpEgRBUaYc7q6usTFxQEZK3//+ecfHBwciImJUdrCzF/y8uVLpRuy/C9wcnJi1apV1KxZk+vXrzN16lQgY4jZ2NhYscHlUJ8+fYiKimLatGnS6Ryampr06dOH/v37Kzi6nPvhhx9YuHAhK1eulE7diImJYdGiReIRZIJI7gTl8aGGmLJWlf+SqlWrcunSJRwcHGjcuDEzZ87kypUrXLp0iZo1ayo6vBz7fMFEeno6oaGh/PHHH7Rs2VJBUQnZ8fT0ZOzYsZw9e5YBAwZgY2MDwKlTp3BxcVFwdDmjoqLC2LFjGTRoEE+ePEFLSwtbW9tMi0Pevn2LqakpqqrKMRV9/PjxdO7cmZ9++kk6lB4QEICRkRHz5s1TcHSCoonVsoJSev78OVevXiU8PDzT0wKUsb5TVFQUSUlJlChRAolEwrp167h16xa2trYMHDgQPT09RYeYI127dpV5raqqiqGhITVq1KB169aFevioMNWCS0pKQlVVFXV1dUWHkmdcXV05dOiQUt2v+Ph4jhw5QkBAAFpaWjg4ONC0adNCfZ+EbyOSO0Hp7N69m6lTp2JgYICxsbHMExxUVFREZXYhTx08eJAmTZpk6vlJTk7m+PHjtGjRAoAjR45Qv379TE8OKOhiYmI4deoUQUFB9O7dG319fR48eICxsbHSLlj6FoUpGf9Uv3798Pb2VurFI8L3E8mdoHR++uknOnbsWOiKj6alpXH27FmePHkCgL29Pe7u7ko7j7CwKleuHL6+vpkKZ0dGRlKrVi2lfVYpZAzr9ejRA11dXV69esXJkyexsrJi0aJFvHnzplAP9xXW5K6wXpfwZYV3TEQotKKjo/nll18UHYZcvXjxgn79+hESEkKpUqUAWLNmDSVLlmTNmjVYW1srOMKcCQsLY+7cuVy+fJmIiIhMj+1SxkTowwPnPxcSEqLUNQkB5syZQ6tWrRg3bpzMHLt69eoxZswYBUYmCML3EMmdoHQaN26Mr68vHTt2VHQocuPt7Y2VlRW7du1CX18fyOgJGjt2LN7e3qxZs0axAeaQh4cHb968YdCgQUo/LPR5KZ5P5wumpaURHBxMnTp1FBhh7t27dy/LArglSpRQ6oK/gvBfI5I7QenY2NiwZMkS7t69S9myZTNNyu/WrZuCIsu569evyyR2AAYGBowZM0apk9ibN2+yY8cO6Wo+ZdagQQMgo7exdu3aaGtrS/epq6tjYWFBo0aNFBWeXGhoaBAbG5tp+/Pnzwv9s3Sz6o0VBGUlkjtB6ezatYtixYpx7do1rl27JrNPRUVFKZM7DQ0NaZ27T8XFxSn1yjczM7NMQ7HK6sMqbAsLC5o0aYKmpqaCI5I/d3d3VqxYweLFi6XbXr9+zfz585U+cf2awvLvVBBALKgQhAJh3LhxPHz4kJkzZ+Ls7AxkPAB80qRJVKhQgTlz5ig4wpzx9fVl48aNTJs2DUtLS0WHI1f37t2TLn4pU6YMTk5OCo4o996/f8+wYcO4f/8+cXFxmJqaEhYWRuXKlVmzZo3Srfz9Hm/evMHU1LTQLWASCyr+m0RyJyiF2bNnM3z4cIoVK5apMO6nVFRU8PDwyMfI5CMmJobx48dz4cIF6TBzamoq9evXZ/bs2ejq6io4wpypWrUqCQkJpKWloaWllakX8vOeV2UQEhLCyJEjuXXrlvS+xMTE4OLiwqJFiyhZsqSCI8y9GzduEBgYSHx8PBUqVFC6Jx58T63L5cuX52Ekiufj40PHjh2V9j1EyBkxLCsohYcPH0ofV/Xw4cNs2ynrvBldXV1WrVrFixcvpL1BdnZ20icEKCtPT09FhyB3np6epKamcvz4cUqXLg3A06dP8fT0xMvLi/Xr1ys4wtxzc3PDzc1N0WHkmLKvWv5W31LMXZkfsSbknOi5EwQF+VIP5OcmTJiQh5EI38PZ2ZmdO3dSvnx5me3379+nc+fO3L17V0GR5cyWLVto3749mpqabNmy5YttlXE+a2ElirkLXyJ67gRBQb7UA/kpZe2N/EAikfDixQvCw8MzTVqvWrWqgqLKOTMzM2kv8qckEolSlnvZtGkTzZo1Q1NTk02bNmXbTlkXKxVWq1atYsSIEYWumLsgH6LnThCEPHPnzh1Gjx7N69evMyV2KioqSlnE+OzZs/j4+DB58mQqVqwIZCyu8Pb2pm/fvtKSKULBcfLkSU6cOMGbN29ISUmR2aesPVzK+CxcIf+I5E4QhDzz22+/YWtry7BhwzAxMcnUC6ksc6OqVq0qE3t8fDxpaWnSlZUf/v9DiR5llJKSwi+//IKPjw92dnaKDkdutmzZwqJFi2jVqhW7du2iVatWvHz5knv37tG5c2dGjhyp6BBzxNPTk4oVKyp1HUwh74hhWUEQ8syLFy9YunSpWBiiBNTV1UlKSlJ0GHK3Y8cOZsyYwa+//sr+/fvp27cvVlZWLFmyhOjoaEWHl2OFsZi7ID+i504QhDzTrVs3+vTpQ926dRUdivANVq9ezfPnz/H29s6ULCirSpUqcfz4cSwsLKhZsyYbN27E0dGR58+f0759e65evaroEHPE3d09230qKiqcO3cuH6MRCprC8dsrCEKB1LVrV+bOnUtYWFiWvQuOjo4Kiix3goKC2LdvHy9fvsTLywsjIyP+/PNPzM3Nsbe3V3R4OXbv3j0uX76Mr68vDg4OFC1aVGa/MtaEMzY2Jjo6GgsLC8zMzLhz5w6Ojo4EBwcr9VMpzp8/r+gQhAJMJHeCIOSZoUOHAlkPayrrgopr167Rt29fXF1duX79OiNHjsTIyIjAwED27dvH0qVLFR1ijunq6vLzzz8rOgy5qlGjBufPn6d8+fK0bt2a2bNnc+rUKe7fv0/Dhg0VHV6uJScnExwcjLW1daHpbRVyTwzLCoKQZ169evXF/RYWFvkUify0b9+exo0b07NnT5lHO/n5+TFkyBD++usvRYcofEIikSCRSKSJz7Fjx7h9+zY2Nja0b98eDQ0NBUeYMwkJCcyYMYODBw8CcOrUKaysrJgxYwYlSpQQJVL+41QVHYAgCIWXhYUFFhYWJCQk8OTJEwICAqRfgYGBig4vRx49epRluRNDQ0MiIyMVEJHwJW/fvpV5XmzTpk2ZOHEiXbp0ISwsTIGR5c6CBQsICAhgy5YtaGpqSrfXrFmT48ePKzAyoSAQfbiCIOSZly9fMnjwYB49eoSKiop0jtOHsiLKOCyro6NDaGhopvpi/v7+lChRQkFR5VzLli3ZtGkTenp6tGjR4otFs5WxJlz9+vXx9fXFyMhIZntUVBT169dXyn+DAOfOnWPRokVUrlxZZru9vT1BQUGKCer/7d1dSJNtHAbwazNnqWFK9Glpfk4NpTKhICwlKfqgaAYGBdmHCUqsLB2OyFrJtCjBSiq0DEPUkhA6sSDJDhTMVND8KiPICDUXOUW2+R6Io+Xr++bUbjev39F8nh1c8+jivp/n/tOswXJHRDPmypUr8PT0xIMHDxAdHY3S0lL09/dDq9UiNTVVdDyr7Nq1C9euXUNOTg4kEglMJhPq6uqg1Wqxb98+0fEmLTo62rw1aY8HMI+MjPxrYdXr9RYrXramr69vXGEFRrdrbX2qDU0dyx0RzZj6+no8fPgQHh4ekEqlkEqlCA8Px5kzZ6DRaMzPC9kSpVKJS5cuYevWrTAajdi1axcMBgP27NmDxMRE0fEmbWzA/O+fbd3Y7GaJRIKbN29avPlrNBrR2Nhos29rA8DatWvx6tUrHD582OJ6aWnpuNU8mntY7ohoxphMJri4uAAA3N3d8e3bN/j4+GDlypX4+PGj4HTWkclk0Gg05u3mgYEBBAcHw9vbW3Q0+sXY7OaRkRG0tbXB0dHRfE8mk0EulyM+Pl5UvClTKpU4ceIEOjo6YDQaUVhYiM7OTtTX1+PRo0ei45FgLHdENGP8/f3R2tqKVatWISwsDPfv34ejoyNKSkpsaibm2CrQRBoaGsyfVSrVTMeZMXK5/D+39Gzp+bSxgqNSqZCeng5XV1fBiaZXeHg4nj17hrt37yIgIABv3rxBcHAwiouLERgYKDoeCcajUIhoxrx+/RqDg4OIiYnBp0+fkJCQgK6uLixatAg3btzApk2bREf8I79vfTU3N8NoNGLNmjUAgK6uLkilUoSEhKCwsFBExGnx4sULi78NBgNaWlpQXl6O5ORkxMbGCko2Pb5+/QoAWLZsmeAkRDOL5Y6I/qr+/n64ubnZ7EPfBQUFqKmpgVarhZubGwBAp9NBpVIhPDzcprf6JlJRUYHnz5/jzp07oqNMmslkwu3bt1FQUAC9Xg8AcHFxwdGjR5GYmAip1HZPBDMajaisrERnZycAwM/PD9HR0TzMmFjuiIgmY8uWLcjPzx83ZqytrQ3x8fGorq4WlGzmfP78GXv37kV9fb3oKJN2/fp1lJWVITk5GevXrwcA1NXVITc3FwcPHoRSqRSc0Drt7e1ITExET0+PxQqyu7s78vLyEBAQIDghicR6T0Q0CT9//kRfX9+46319fRgYGBCQaGYNDQ2hsLAQS5YsER3FKuXl5dBoNIiOjjZfk8vlWLp0KTIyMmy23KnVavj5+eHJkycWK8hpaWm4cOECiouLBSckkVjuiIgmYfv27VCpVEhLS0NoaCiA0RcqsrKyEBMTIzjd1GzcuNFiu3xkZAQDAwOYP38+srOzBSaznk6ng4+Pz7jrPj4+0Ol0AhJNj5aWFotiBwBubm5QKpVQKBQCk9FswHJHRDQJGRkZ0Gq1OHv2LAwGAwDAwcEBCoUC58+fF5xualQqlUW5k0gk8PDwQFhYmEWJsCVyuRxFRUVQq9UW14uKimz6nDtvb2/09PSMezygt7cXXl5eglLRbMFn7oiIrKDX681jnlavXg1nZ2fBiejf1NbWIiEhAcuXLzcf7vvu3Tt0d3fj3r17CA8PFxvQSlVVVcjOzkZSUpLF77p16xZSUlKwYcMG83ft7RgY+n8sd0REBAB4//79H3/XVla9vnz5AgcHBzx+/BgfPnwAMLole+jQIRiNRqxYsUJwQuv8+v8fW239fXbz2Og1WzqfkKYHyx0REQH4/0OMAdsrDEFBQaiurh43h/X79+/YvHmzzfyO39XW1v7xdyMiImYwCc1GfOaOiIgAALm5udBqtTh27JjFVl9BQQHOnTuHoKAgsQGtMNH6hV6vh5OT019OM30iIiLw48cPlJWVWZxzp1AosHDhQsHpSDSu3BEREQBAoVAgOTkZkZGRFterqqqQk5ODp0+fCko2eWMj4woLCxEbG4sFCxaY7xmNRjQ2NkIqldrskSFNTU04fvw4nJyczG9tNzU1YWhoCPn5+QgJCRGckETiyh0REQEYPYjZ09Nz3HVPT090dHQISGS95uZmAKMrd21tbXB0dDTfk8lkkMvlNj1NJDMzE1FRUbh8+bJ5IoXBYIBarcbVq1dRVFQkOCGJxJU7IiICAOzfvx/+/v7QaDSQyWQAgOHhYajVarS3t6O8vFxwwslTqVRIT0+3uzdGQ0NDUV5eDl9fX4vrHR0dOHDgABoaGgQlo9mAK3dERARg9Ay/U6dOITIyEoGBgQCA1tZWSCQS5OXlCU5nnbHtWXvj6uqK7u7uceWuu7sbLi4uglLRbMGVOyIiMtPr9aioqDAfG+Lr64vdu3fzHL9ZRqPRoLKyEqmpqVi3bh0A4O3bt+ZJKenp6YITkkgsd0RERDZmeHgYWVlZKC4uhtFoBADMmzcPcXFxSElJMW+r09zEckdERGZdXV2oqalBb28vTCaTxb2kpCRBqWgig4ODFpNSfn0rmOYuljsiIgIAlJSU4OLFi3B3d8fixYvHzZm1xRcqiOYiljsiIgIAbNu2DXFxcTh58qToKEQ0BVLRAYiIaHbQ6XTYuXOn6BhENEUsd0REBADYsWMHqqurRccgoiniOXdERAQA8PLyQk5ODhoaGhAQEGCefDDmyJEjgpIR0WTwmTsiIgIAREVFTXhPIpHg5cuXfzENEVmL5Y6IiIjIjnBblohoDsvMzMTp06fh7Oz8n6O6JBIJ0tLS/mIyIrIWyx0R0RzW3NwMg8Fg/jyRX8+8I6LZjduyRERERHaER6EQERER2RGWOyIiIiI7wnJHREREZEdY7oiIiIjsCMsdERERkR1huSMiIiKyIyx3RERERHaE5Y6IiIjIjvwDTnGKn16klmEAAAAASUVORK5CYII=\n" }, "metadata": {} } ], "source": [ "risk_features = [\n", " 'interest_rate', 'loan_amount', 'annual_income',\n", " 'debt_to_income', 'inquiries_last_12m',\n", " 'total_credit_limit', 'open_credit_lines'\n", "]\n", "\n", "correlation_matrix = df[risk_features].corr()\n", "sns.heatmap(\n", " correlation_matrix,\n", " annot=True,\n", " cmap='coolwarm',\n", " fmt=\".2f\",\n", " linewidths=0.5,\n", " vmin=-1,\n", " vmax=1\n", ")\n", "\n", "plt.title('Correlation Matrix of Key Financial & Risk Variables', fontsize=14, fontweight='bold')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "GFGndxpUrlpd" }, "source": [ "## **5. Loan Amount by Term and Homeownership**" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 607 }, "id": "GDvUDy8oQOnb", "outputId": "e1050f65-c32b-4637-c70c-ea8fb7f09bc4" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "plt.figure(figsize=(10, 6))\n", "homeownership_categories = df['homeownership'].value_counts().index[:3]\n", "cleaned_df = df[df['homeownership'].isin(homeownership_categories)]\n", "sns.boxplot(\n", " data=cleaned_df,\n", " x='homeownership',\n", " y='loan_amount',\n", " hue='term',\n", " palette='Set1'\n", ")\n", "\n", "plt.title('Loan Amount Distribution by Homeownership Status and Term', fontsize=14, fontweight='bold')\n", "plt.xlabel('Homeownership Status', fontsize=12)\n", "plt.ylabel('Loan Amount ($)', fontsize=12)\n", "plt.legend(title='Term (Months)')\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "source": [ "# If imbalanced-learn is not installed, run:\n", "# !pip install imbalanced-learn\n", "\n", "from imblearn.over_sampling import SMOTE\n", "from sklearn.metrics import (\n", " accuracy_score,\n", " precision_score,\n", " recall_score,\n", " f1_score,\n", " roc_auc_score,\n", " average_precision_score,\n", " confusion_matrix,\n", " classification_report\n", ")" ], "metadata": { "id": "ya0aHC1H8Taw" }, "execution_count": 19, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "DMbo8fl6r5az" }, "source": [ "# **Setting Target Variables**" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "id": "e0lMgVykip_h" }, "outputs": [], "source": [ "# Setting Up Target Variables\n", "non_performing_statuses = ['charged off', 'default', 'late (31-120 days)', 'late (16-30 days)', 'in grace period']\n", "df['is_default'] = df['loan_status'].apply(lambda x: 1 if str(x).strip().lower() in non_performing_statuses else 0)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "id": "quvWNv_3LfFl" }, "outputs": [], "source": [ "# Dropping features that cause target leakage\n", "leakage_cols = ['loan_status', 'paid_total', 'paid_principal', 'paid_interest', 'paid_late_fees', 'balance']\n", "df_clean = df.drop(columns=[col for col in leakage_cols if col in df.columns])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "id": "mGfmHqqzVd2R" }, "outputs": [], "source": [ "# Separating target and independent variables\n", "X = df_clean.drop(columns=['is_default'])\n", "y = df_clean['is_default']\n", "\n", "# Splitting numeric and categorical columns\n", "numeric_cols = X.select_dtypes(include=['int64', 'float64']).columns.tolist()\n", "categorical_cols = X.select_dtypes(include=['object', 'category']).columns.tolist()" ] }, { "cell_type": "markdown", "metadata": { "id": "yOcAfIj4seDG" }, "source": [ "# **Test-Train Split**" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "id": "OdyM_Q13VgM7" }, "outputs": [], "source": [ "# Train-test split\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.2, random_state=42, stratify=y\n", ")" ] }, { "cell_type": "code", "source": [ "print(\"Before SMOTE:\")\n", "print(y_train.value_counts())\n", "\n", "print(\"\\nClass proportions:\")\n", "print(y_train.value_counts(normalize=True))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "IBfyrLFa8dQo", "outputId": "11a2777c-42ed-4bfb-878b-0280f62affc6" }, "execution_count": 24, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Before SMOTE:\n", "is_default\n", "0 7858\n", "1 142\n", "Name: count, dtype: int64\n", "\n", "Class proportions:\n", "is_default\n", "0 0.98225\n", "1 0.01775\n", "Name: proportion, dtype: float64\n" ] } ] }, { "cell_type": "code", "source": [ "smote = SMOTE(random_state=42)\n", "\n", "X_train_smote, y_train_smote = smote.fit_resample(\n", " X_train,\n", " y_train\n", ")\n", "\n", "print(\"After SMOTE:\")\n", "print(y_train_smote.value_counts())" ], "metadata": { "id": "2hknEe0y9KGm" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "EQcNuV_2snPX" }, "source": [ "# **Scaling and Encoding**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "OBGFGiiZVhvm" }, "outputs": [], "source": [ "# Imputing and Scaling Numeric Features\n", "num_imputer = SimpleImputer(strategy='median')\n", "scaler = StandardScaler()\n", "\n", "# Fitting and transforming training numeric features/test numeric features\n", "X_train_num_imputed = num_imputer.fit_transform(X_train[numeric_cols])\n", "X_test_num_imputed = num_imputer.transform(X_test[numeric_cols])\n", "\n", "X_train_num_scaled = scaler.fit_transform(X_train_num_imputed)\n", "X_test_num_scaled = scaler.transform(X_test_num_imputed)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "L3f9EL1fVlDB" }, "outputs": [], "source": [ "# Imputing and One-Hot Encode Categorical Features\n", "cat_imputer = SimpleImputer(strategy='most_frequent')\n", "encoder = OneHotEncoder(handle_unknown='ignore', sparse_output=False)\n", "\n", "# Fitting and transform training categorical features/transform test categorical features\n", "X_train_cat_imputed = cat_imputer.fit_transform(X_train[categorical_cols])\n", "X_test_cat_imputed = cat_imputer.transform(X_test[categorical_cols])\n", "\n", "X_train_cat_encoded = encoder.fit_transform(X_train_cat_imputed)\n", "X_test_cat_encoded = encoder.transform(X_test_cat_imputed)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "7OzbJsE-Vm6w" }, "outputs": [], "source": [ "# Recombining numeric and categorical matrices\n", "X_train_prep = np.hstack((X_train_num_scaled, X_train_cat_encoded))\n", "X_test_prep = np.hstack((X_test_num_scaled, X_test_cat_encoded))\n", "\n", "# Re-creating feature name list for later interpretation\n", "encoded_feature_names = encoder.get_feature_names_out(categorical_cols).tolist()\n", "all_feature_names = numeric_cols + encoded_feature_names" ] }, { "cell_type": "markdown", "metadata": { "id": "SA6yCsWysrzf" }, "source": [ "# **Baseline Training For Logistic Regression**" ] }, { "cell_type": "code", "source": [ "from sklearn.linear_model import LogisticRegression\n", "\n", "lr_smote = LogisticRegression(\n", " max_iter=2000,\n", " random_state=42\n", ")\n", "\n", "lr_smote.fit(X_train_smote, y_train_smote)\n", "\n", "lr_smote_pred = lr_smote.predict(X_test)\n", "lr_smote_prob = lr_smote.predict_proba(X_test)[:, 1]" ], "metadata": { "id": "Vqn_IY67BFGC" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ZIbh4h5kVxU-", "outputId": "cc24a3a8-cb95-4c73-d31a-b12dd1cfd62f" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training Baseline Logistic Regression\n", "\n", " Baseline Logistic Regression\n", "Accuracy: 0.9820\n", "Precision: 0.0000\n", "Recall: 0.0000\n", "F1-Score: 0.0000\n", "ROC-AUC: 0.6255\n", "Confusion Matrix:\n", "[[1964 0]\n", " [ 36 0]]\n" ] } ], "source": [ "# Baseline Logistic Regression\n", "print(\"Training Baseline Logistic Regression\")\n", "lr_baseline = LogisticRegression(max_iter=1000, random_state=42)\n", "lr_baseline.fit(X_train_prep, y_train)\n", "\n", "# Evaluate baseline Logistic Regression\n", "y_pred_lr_base = lr_baseline.predict(X_test_prep)\n", "y_prob_lr_base = lr_baseline.predict_proba(X_test_prep)[:, 1]\n", "\n", "print(\"\\n Baseline Logistic Regression\")\n", "print(f\"Accuracy: {accuracy_score(y_test, y_pred_lr_base):.4f}\")\n", "print(f\"Precision: {precision_score(y_test, y_pred_lr_base, zero_division=0):.4f}\")\n", "print(f\"Recall: {recall_score(y_test, y_pred_lr_base, zero_division=0):.4f}\")\n", "print(f\"F1-Score: {f1_score(y_test, y_pred_lr_base, zero_division=0):.4f}\")\n", "print(f\"ROC-AUC: {roc_auc_score(y_test, y_prob_lr_base):.4f}\")\n", "print(\"Confusion Matrix:\")\n", "print(confusion_matrix(y_test, y_pred_lr_base))\n" ] }, { "cell_type": "markdown", "metadata": { "id": "rfoRNXGYs1B_" }, "source": [ "# **Baseline Training For Gradient Boosting**" ] }, { "cell_type": "code", "source": [ "from sklearn.ensemble import GradientBoostingClassifier\n", "\n", "gb_smote = GradientBoostingClassifier(\n", " random_state=42\n", ")\n", "\n", "gb_smote.fit(X_train_smote, y_train_smote)\n", "\n", "gb_smote_pred = gb_smote.predict(X_test)\n", "gb_smote_prob = gb_smote.predict_proba(X_test)[:, 1]" ], "metadata": { "id": "O6Krs8nrBI5B" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "A_WQm81sXr2l", "outputId": "846d9348-0760-42a8-c641-2b04f223a3f5" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Training Baseline Gradient Boosting Classifier \n", "\n", " Baseline Gradient Boosting\n", "Accuracy: 0.9785\n", "Precision: 0.0000\n", "Recall: 0.0000\n", "F1-Score: 0.0000\n", "ROC-AUC: 0.6324\n", "Confusion Matrix:\n", "[[1957 7]\n", " [ 36 0]]\n" ] } ], "source": [ "# Baseline Gradient Boosting Classifier\n", "print(\"\\n Training Baseline Gradient Boosting Classifier \")\n", "gb_baseline = GradientBoostingClassifier(random_state=42)\n", "gb_baseline.fit(X_train_prep, y_train)\n", "\n", "# Evaluating baseline Gradient Boosting\n", "y_pred_gb_base = gb_baseline.predict(X_test_prep)\n", "y_prob_gb_base = gb_baseline.predict_proba(X_test_prep)[:, 1]\n", "\n", "print(\"\\n Baseline Gradient Boosting\")\n", "print(f\"Accuracy: {accuracy_score(y_test, y_pred_gb_base):.4f}\")\n", "print(f\"Precision: {precision_score(y_test, y_pred_gb_base, zero_division=0):.4f}\")\n", "print(f\"Recall: {recall_score(y_test, y_pred_gb_base, zero_division=0):.4f}\")\n", "print(f\"F1-Score: {f1_score(y_test, y_pred_gb_base, zero_division=0):.4f}\")\n", "print(f\"ROC-AUC: {roc_auc_score(y_test, y_prob_gb_base):.4f}\")\n", "print(\"Confusion Matrix:\")\n", "print(confusion_matrix(y_test, y_pred_gb_base))" ] }, { "cell_type": "markdown", "metadata": { "id": "kZpA3JtztsL9" }, "source": [ "# **Performance Metrics for Baseline Models**" ] }, { "cell_type": "code", "source": [ "def evaluate_model(name, y_true, y_pred, y_prob):\n", " results = {\n", " \"Model\": name,\n", " \"Accuracy\": accuracy_score(y_true, y_pred),\n", " \"Precision\": precision_score(y_true, y_pred, zero_division=0),\n", " \"Recall\": recall_score(y_true, y_pred, zero_division=0),\n", " \"F1-Score\": f1_score(y_true, y_pred, zero_division=0),\n", " \"ROC-AUC\": roc_auc_score(y_true, y_prob),\n", " \"PR-AUC\": average_precision_score(y_true, y_prob)\n", " }\n", "\n", " print(\"\\n\" + \"=\"*60)\n", " print(name)\n", " print(\"=\"*60)\n", "\n", " print(classification_report(\n", " y_true,\n", " y_pred,\n", " zero_division=0\n", " ))\n", "\n", " print(\"Confusion Matrix:\")\n", " print(confusion_matrix(y_true, y_pred))\n", "\n", " print(\"ROC-AUC:\", round(results[\"ROC-AUC\"], 4))\n", " print(\"PR-AUC:\", round(results[\"PR-AUC\"], 4))\n", "\n", " return results" ], "metadata": { "id": "cwwGl8YCBOJb" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "lr_smote_results = evaluate_model(\n", " \"Logistic Regression - SMOTE\",\n", " y_test,\n", " lr_smote_pred,\n", " lr_smote_prob\n", ")\n", "\n", "gb_smote_results = evaluate_model(\n", " \"Gradient Boosting - SMOTE\",\n", " y_test,\n", " gb_smote_pred,\n", " gb_smote_prob\n", ")" ], "metadata": { "id": "TPZiJwuaBT8M" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 512 }, "id": "YJ0UFJOVs-WW", "outputId": "d9477b38-3d46-468c-bfb0-49300a0f091c" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generating predictions for the baseline models\n", "\n", "y_pred_lr_base = lr_baseline.predict(X_test_prep)\n", "y_pred_gb_base = gb_baseline.predict(X_test_prep)\n", "\n", "# Creating side-by-side confusion matrices\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n", "\n", "models = [\n", " (\"Baseline Logistic Regression\", y_pred_lr_base, \"Blues\"),\n", " (\"Baseline Gradient Boosting\", y_pred_gb_base, \"Greens\")\n", "]\n", "\n", "for ax, (title, predictions, color) in zip(axes, models):\n", "\n", " cm = confusion_matrix(y_test, predictions)\n", "\n", " sns.heatmap(\n", " cm,\n", " annot=True,\n", " fmt=\"d\",\n", " cmap=color,\n", " cbar=False,\n", " ax=ax,\n", " annot_kws={\"size\":14}\n", " )\n", "\n", " ax.set_title(title, fontsize=12, fontweight=\"bold\")\n", " ax.set_xlabel(\"Predicted Label\")\n", " ax.set_ylabel(\"True Label\")\n", " ax.set_xticklabels([\"No Default (0)\", \"Default (1)\"])\n", " ax.set_yticklabels([\"No Default (0)\", \"Default (1)\"], rotation=0)\n", "\n", "plt.suptitle(\n", " \"Confusion Matrix Comparison of Baseline Models\",\n", " fontsize=15,\n", " fontweight=\"bold\"\n", ")\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "AvidV53Nt0vM" }, "source": [ "# **ROC Curve Comparison for Baseline Models**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 607 }, "id": "eBgAzimJoSZg", "outputId": "331109b7-6a34-4054-99d9-36b5bcdef10b" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ROC Curve for Baseline\n", "plt.figure(figsize=(8, 6))\n", "ax = plt.gca()\n", "\n", "# Plotting baseline curves\n", "RocCurveDisplay.from_estimator(lr_baseline, X_test_prep, y_test, ax=ax, name='Baseline Logistic Regression', color='royalblue')\n", "RocCurveDisplay.from_estimator(gb_baseline, X_test_prep, y_test, ax=ax, name='Baseline Gradient Boosting', color='forestgreen')\n", "\n", "plt.plot([0, 1], [0, 1], color='gray', linestyle='--') # Diagonal line representing random chance\n", "plt.title('ROC Curves: Baseline Models Only', fontsize=13, fontweight='bold')\n", "plt.xlabel('False Positive Rate', fontsize=11)\n", "plt.ylabel('True Positive Rate', fontsize=11)\n", "plt.legend(loc='lower right')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "sZ8K9z-dl_s7" }, "source": [ "# **Hyperparameter Tuning (RandomizedSearchCV) for Logistic Regression**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "CYb9ILBGX2Al", "outputId": "b77b55b8-67de-45fd-a9a0-71cabd48dd18" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimizing Logistic Regression parameters\n", "Best Tuned LR Parameters: {'penalty': 'l2', 'C': np.float64(0.02069138081114789)}\n", "\n", " Tuned Logistic Regression\n", "Accuracy: 0.9820\n", "Precision: 0.0000\n", "Recall: 0.0000\n", "F1-Score: 0.0000\n", "ROC-AUC: 0.6208\n", "Confusion Matrix:\n", "[[1964 0]\n", " [ 36 0]]\n" ] } ], "source": [ "# Initializing model for tuning\n", "lr_tuning_model = LogisticRegression(max_iter=1000, random_state=42)\n", "\n", "# Defining parameter distributions to search over\n", "lr_param_dist = {\n", " 'C': np.logspace(-3, 2, 20),\n", " 'penalty': ['l2']\n", "}\n", "\n", "print(\"Optimizing Logistic Regression parameters\")\n", "lr_search = RandomizedSearchCV(\n", " estimator=lr_tuning_model,\n", " param_distributions=lr_param_dist,\n", " n_iter=10,\n", " cv=5,\n", " scoring='roc_auc',\n", " random_state=42,\n", " n_jobs=-1\n", ")\n", "\n", "lr_search.fit(X_train_prep, y_train)\n", "best_lr_tuned = lr_search.best_estimator_\n", "print(f\"Best Tuned LR Parameters: {lr_search.best_params_}\")\n", "\n", "# Evaluating tuned Logistic Regression\n", "y_pred_lr_tuned = best_lr_tuned.predict(X_test_prep)\n", "y_prob_lr_tuned = best_lr_tuned.predict_proba(X_test_prep)[:, 1]\n", "\n", "print(\"\\n Tuned Logistic Regression\")\n", "print(f\"Accuracy: {accuracy_score(y_test, y_pred_lr_tuned):.4f}\")\n", "print(f\"Precision: {precision_score(y_test, y_pred_lr_tuned, zero_division=0):.4f}\")\n", "print(f\"Recall: {recall_score(y_test, y_pred_lr_tuned, zero_division=0):.4f}\")\n", "print(f\"F1-Score: {f1_score(y_test, y_pred_lr_tuned, zero_division=0):.4f}\")\n", "print(f\"ROC-AUC: {roc_auc_score(y_test, y_prob_lr_tuned):.4f}\")\n", "print(\"Confusion Matrix:\")\n", "print(confusion_matrix(y_test, y_pred_lr_tuned))" ] }, { "cell_type": "markdown", "metadata": { "id": "wQU5LRYGuHkj" }, "source": [ "# **Hyperparameter Tuning (RandomizedSearchCV) for Gradient Boosting**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "18wYlWzmY1XS", "outputId": "d434a246-7a07-4c97-a1b6-fc04cea4c977" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimizing classic Gradient Boosting\n", "Best Tuned GB Parameters: {'n_estimators': 100, 'min_samples_split': 5, 'max_features': 'sqrt', 'max_depth': 4, 'learning_rate': 0.05}\n", "\n", " Tuned Gradient Boosting\n", "Accuracy: 0.9820\n", "Precision: 0.0000\n", "Recall: 0.0000\n", "F1-Score: 0.0000\n", "ROC-AUC: 0.6241\n", "Confusion Matrix:\n", "[[1964 0]\n", " [ 36 0]]\n" ] } ], "source": [ "# Initializing standard model\n", "gb_tuning_model = GradientBoostingClassifier(random_state=42)\n", "\n", "# Scaled-down parameter grid\n", "gb_param_dist = {\n", " 'n_estimators': [50, 100],\n", " 'learning_rate': [0.05, 0.1],\n", " 'max_depth': [3, 4],\n", " 'min_samples_split': [5, 10],\n", " 'max_features': ['sqrt']\n", "}\n", "\n", "print(\"Optimizing classic Gradient Boosting\")\n", "gb_search = RandomizedSearchCV(\n", " estimator=gb_tuning_model,\n", " param_distributions=gb_param_dist,\n", " n_iter=5,\n", " cv=3,\n", " scoring='roc_auc',\n", " random_state=42,\n", " n_jobs=-1\n", ")\n", "\n", "gb_search.fit(X_train_prep, y_train)\n", "best_gb_tuned = gb_search.best_estimator_\n", "print(f\"Best Tuned GB Parameters: {gb_search.best_params_}\")\n", "\n", "# Evaluating tuned Gradient Boosting\n", "y_pred_gb_tuned = best_gb_tuned.predict(X_test_prep)\n", "y_prob_gb_tuned = best_gb_tuned.predict_proba(X_test_prep)[:, 1]\n", "\n", "print(\"\\n Tuned Gradient Boosting\")\n", "print(f\"Accuracy: {accuracy_score(y_test, y_pred_gb_tuned):.4f}\")\n", "print(f\"Precision: {precision_score(y_test, y_pred_gb_tuned, zero_division=0):.4f}\")\n", "print(f\"Recall: {recall_score(y_test, y_pred_gb_tuned, zero_division=0):.4f}\")\n", "print(f\"F1-Score: {f1_score(y_test, y_pred_gb_tuned, zero_division=0):.4f}\")\n", "print(f\"ROC-AUC: {roc_auc_score(y_test, y_prob_gb_tuned):.4f}\")\n", "print(\"Confusion Matrix:\")\n", "print(confusion_matrix(y_test, y_pred_gb_tuned))" ] }, { "cell_type": "markdown", "metadata": { "id": "NhLmkRV2un7x" }, "source": [ "# **Performance Metrics for Tuned Models**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 532 }, "id": "3eLJBIA7ui-h", "outputId": "99810aac-77a0-487a-9028-3907c16e75ce" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculating predictions for the tuned models\n", "\n", "y_pred_lr_tuned = best_lr_tuned.predict(X_test_prep)\n", "y_pred_gb_tuned = best_gb_tuned.predict(X_test_prep)\n", "\n", "# Creating side-by-side confusion matrices\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n", "\n", "models_info = [\n", " (\"Tuned Logistic Regression\", y_pred_lr_tuned, axes[0]),\n", " (\"Tuned Gradient Boosting\", y_pred_gb_tuned, axes[1])\n", "]\n", "\n", "for title, predictions, ax in models_info:\n", "\n", " cm = confusion_matrix(y_test, predictions)\n", "\n", " sns.heatmap(\n", " cm,\n", " annot=True,\n", " fmt=\"d\",\n", " cmap=\"Blues\",\n", " cbar=False,\n", " ax=ax,\n", " annot_kws={\"size\":14, \"weight\":\"bold\"}\n", " )\n", "\n", " ax.set_title(title, fontsize=12, fontweight=\"bold\", pad=10)\n", " ax.set_xlabel(\"Predicted Label\", fontsize=10)\n", " ax.set_ylabel(\"True Label\", fontsize=10)\n", " ax.set_xticklabels([\"No Default (0)\", \"Default (1)\"])\n", " ax.set_yticklabels([\"No Default (0)\", \"Default (1)\"], rotation=0)\n", "\n", "plt.suptitle(\n", " \"Confusion Matrix Comparison of Tuned Models\",\n", " fontsize=16,\n", " fontweight=\"bold\",\n", " y=1.02\n", ")\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "ePlrhUP6uzis" }, "source": [ "# **ROC Curve Comparison for Tuned Models**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 607 }, "id": "XvZBVyyCodSk", "outputId": "d6940b87-1392-4eb8-cd68-e1653c7eba85" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ROC Curves for Tuned\n", "plt.figure(figsize=(8, 6))\n", "ax = plt.gca()\n", "\n", "# Plotting tuned curves\n", "RocCurveDisplay.from_estimator(best_lr_tuned, X_test_prep, y_test, ax=ax, name='Tuned Logistic Regression', color='dodgerblue')\n", "RocCurveDisplay.from_estimator(best_gb_tuned, X_test_prep, y_test, ax=ax, name='Tuned Gradient Boosting', color='darkorange')\n", "\n", "plt.plot([0, 1], [0, 1], color='gray', linestyle='--')\n", "plt.title('ROC Curves: Optimized/Tuned Models Only', fontsize=13, fontweight='bold')\n", "plt.xlabel('False Positive Rate', fontsize=11)\n", "plt.ylabel('True Positive Rate', fontsize=11)\n", "plt.legend(loc='lower right')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "kkwFaqthu--n" }, "source": [ "# **ROC Comparision for Baseline and Tuned Model**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 807 }, "id": "qvYfyzutY35J", "outputId": "0053dfbc-2ca0-475c-821f-013c6fa79c37" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Overall Comparision\n", "plt.figure(figsize=(10, 8))\n", "ax = plt.gca()\n", "\n", "# Overlaying all curves\n", "RocCurveDisplay.from_estimator(lr_baseline, X_test_prep, y_test, ax=ax, name='LR Baseline (Default)', linestyle='--')\n", "RocCurveDisplay.from_estimator(best_lr_tuned, X_test_prep, y_test, ax=ax, name='LR Tuned (Optimized)', color='blue')\n", "\n", "RocCurveDisplay.from_estimator(gb_baseline, X_test_prep, y_test, ax=ax, name='GB Baseline (Default)', linestyle='--')\n", "RocCurveDisplay.from_estimator(best_gb_tuned, X_test_prep, y_test, ax=ax, name='GB Tuned (Optimized)', color='darkorange')\n", "\n", "plt.plot([0, 1], [0, 1], color='gray', linestyle=':')\n", "plt.title('ROC Comparison: Baselines vs. Tuned Models', fontsize=14, fontweight='bold')\n", "plt.xlabel('False Positive Rate', fontsize=11)\n", "plt.ylabel('True Positive Rate', fontsize=11)\n", "plt.legend(loc='lower right')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "njpCIB12vHaA" }, "source": [ "# **Top 10 Risk Drivers For Business**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 624 }, "id": "zYE2woCDZfA7", "outputId": "e84be67c-beef-43ef-ef20-a17740ac8472" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Selected Model: 'Baseline Gradient Boosting' (ROC-AUC: 0.6324)\n" ] }, { "data": { "image/png": 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uuLg4LVq0yLjf398/Xb32a9asMWpr27at6tevr6tXr+r06dPavHmz8YUtNQcPHjQCt8lk0pAhQ4we/AdVo0YNI3QnJSVp7969qYb/mJgY9ezZUxUqVFBMTIxy5859R5BK1rJlS+3YsUOS9MMPPxihe+/evTp69KgkqUiRInr22Wcl3epBTQ7cRYoUUffu3VWgQAHjfP7Lly+rb9++Wr16tfEl6V61/fzzz5JutfuAAQP01FNP6dKlS4qKitKGDRtS3c6DuL03TZJy586tMWPG2ASfqlWrqkCBAipUqJA8PDxkMpl07tw5hYWF6cSJE1q3bp12796t8uXLa//+/cbr1GKxqGfPnsqePbvOnj2rvXv32oxQOXTokPEF0MnJSV27dlW1atUUHR2tiRMn6r///tPnn3+u6tWr24zSuF/R0dGqUaOG2rdvr7179xo9hxs3btTRo0dVsmRJ3bhxQ3369DFeJw0aNNArr7yia9eu6ZNPPtGBAwe0ZcsWffbZZ/ccsZHcmypJgYGBNn8vJ0+e1D///GOzvKen5x0hULrVO1qgQAENHjxYhQsX1pEjRyTden5DQ0NVtGhReXh4yMnJSRcvXtSXX36pPXv2aO/evVqzZo0xiuPjjz82gm6BAgXUt29fZc+eXWFhYRmapFK69QNacvh55pln9Prrr8tsNmv27NnaunWrDh48qFGjRmncuHF3rHvu3DmVK1dOb731lk6fPq3x48crISFBhw8f1h9//KFatWpp6tSpioiI0MiRIyXdeQpR/vz5013r7T2XyRo0aGD8iCbd6uFOGbjfeOMNBQUFadu2bfryyy+VlJSkRYsWqXr16mrUqJHOnTunQYMGGYH7ueeeU9u2bXX69GlNmjRJsbGx2rt3ryZOnKgPP/ww3X8byfNOfP7550aAatGihV555RVJGTt/+8qVK/Ly8tLEiRN148YNjRo1SrGxsbp48aJWrFihNm3aSLr12kgOyt7e3nrvvffk7u6uadOmZfi1cfDgQeP/ySMX0pLe96GMvuaS309z5MihgQMHqnDhwrpw4YKOHj2qX3/91dj2woULtWHDBs2YMUPS/52OcD9y5cqlJk2aaMmSJfr222/VvXt3ffXVV5KkSpUqqUyZMqmulzzKIPnz9uWXX1aTJk104MABTZs2TQkJCfrtt980d+5cvfnmm7py5YpGjx5trF+5cmV17txZ//77ryZMmJDqPuzxfptyxOCBAwcI3f8foRtAlvDff//ZTFjy4Ycfqn79+pJufeg9//zzunbtms6fP6/ffvvN+EKa0tSpU/X0009LujWEKvnLzvHjxxUZGamyZcs+tHpT9vZIumPYasrbty97L7///rvNr95OTk5q3bq1+vbtm64fDlJ+uStWrJj8/PyML7tpBejTp0+rQ4cOunjxosxms0aOHPlAE9Pc7vbes7sF6Q8++OCOS+mcOHEi1WUbNWqkjz/+WHFxcfrtt990+fJl5cyZ06Yn8ZVXXpHJZFJSUpJNL2ZISIiKFSsmSWratKnWrVunc+fO6eTJk9q8ebNq1aqVrtqSQ5mzs7OKFy+ucuXKGW3QtWtXm2WLFClyX0PK78Xd3f2Onq1q1app3759+vTTT3XixAnFxcXdMSnYrl27VL58eZvXTJ48eVS8eHH5+vrKxcXljtmIw8PDjR6XZ5991nie/Pz89OKLL2rJkiWSbl2e5mGE7ty5c+vTTz+Vm5ub6tatq1WrVhk/qBw/flwlS5bUH3/8oZiYGKP+5EDg4eGh1q1ba8SIEUZN9wrdKV+Xt08kNWfOnDsmL6xQoYIxDDUlk8mkmTNnGoG8Ro0akqTy5ctr3759mjVrlo4cOaLY2FibHizpVrs0atRIFy5csJlh+cMPPzSGkvr5+alx48ZpHktKBw8e1K5duyTden/q2rWrcSWB9u3bG/tZtWqVPvzwwzuGuLu4uOizzz4zRtts2LBBGzZskHSrHWrVqqWAgACb97uHPe+EyWSS2WzW9evXjRELKWc7f/75542h27Vr11ZUVJQx8/TSpUvVqFEj/fjjj7p69aqkW6+V6dOnG6elJCUlGT3iy5cv1+DBg9P9t5E8HP67774z7itcuPB9H//kyZONETe7du0yJvlM/mH6woUL+vPPP43lP/zwQyM8lSxZUi+99FKG9nfhwgXj//c73Pj296H7ec15enoqPj5e7u7uKl68uEqXLm38yJ7yPP4qVarY/KD9oPN+hISEaMmSJbpw4YI++ugj7d+/37g/ebTK7ZYuXWq8p5YqVcr44aB27dq6ePGiZs+ebSz35ptv6o8//jB+JHF1ddX06dOVJ08eSbeG93/00Ud37MMe77e5cuUy/p9yNEVWR+gGkCWcOHHC5otnyh7dPHnyqESJEsZlWJK/cKeUK1cuI3BLt3qF3dzcjA/L48ePP9TQfXtP+40bN+56O72XDbubxMRE7dy5U9euXbP5sLybZs2aaf78+YqPj9eYMWM0ZswYZc+eXaVKlVLNmjUVEhKS6peqkydPGv/v0aPHQw3cku2XOknKmTNnqssl/9iSHtmzZ1fjxo21ePFi3bhxQz/99JNeeeUVrVq1StKtHyySj+PChQs2NaTscbjdoUOHUg3dqdXWpk0bo306d+4sScYlperXr69XXnnlofZ2J09gdP36da1du1Zff/21YmJi1KdPH4WHh6t06dJKSkpS165d77gM3e3+++8/Sbd6toKCgrRp0yZt3rxZTZo0kdlsVtGiRRUYGKg2bdqoYsWKkm4NC022adMmbdq0KdVtHzp06KEcb8WKFW0uM5fytZtcf8qaLly4cNcfl86dO6eLFy+mOStzypCVPLz0fvj6+qbaAz5w4EB9//33aa6bfFwp/yalWz3vyfz8/JQrVy5j2XtJ+RwlJCQYr9XbJSQk6NixY/L397e5v0SJEjant6TWDg9Typ7LU6dOaerUqTp16pRWrVolq9VqzNeQ8vPg9pFAlStXNkJ38nIpl/f397eZByLl+leuXNHZs2cz9LfxsHh4eNic4pLac337CKrkCTalW6fz5MyZ864/bN7L7T/OpSY970P385pr06aNpk2bprNnz+q1116TdGuER7ly5dS0adMM/dCUEWXKlFHlypX1119/GT+c5M+fX/Xq1bvjdJBk93rtJYfu48ePKykpyebH42LFihmBW7Jtv5Ts8X6bnvbNirh4GgBkQkWKFLHpdU4eSi7d+gKR8st6cm9qegUHBysyMlJLliwxLqN04MAB9enTJ13r+/n5admyZerWrZuqVasmb29vxcfHKyIiQtOnT1fnzp1ltVrvWC/lOXzz5s2z+bB/GP744w/j/yaT6a6XDcvIEFRJxogG6Vbv1NatW40hwDVr1lTBggUzXOvdRiekVlvz5s311Vdf6dVXX1X58uWVM2dOnT9/Xhs3btTQoUNTHar7IJInMKpRo4Y+/PBD45JQVqvV+LFh586dRuA2m83q1auX5s6dq4ULFxo9rtL/ffkymUyaMWOGPvroI9WrV08lSpSQk5OTjh8/rqVLl6p9+/bas2dPhurM6Dmld3P7D0Qpf8C4ny+P9xp5kvJ1GRERYbP80KFDdeDAgXTNnJ3aeaf//POPTeBOnnNi4cKFNr2mjv5SnNpz9LDb4V6Sey6rVKmil19+Wf369TMeW7Nmjc1VMezJHn8b95Ke5/r2UU8PevpUygCYnh9R0vM+lBHJr7nu3bvrs88+U3BwsMqWLavs2bPrn3/+0fr169WnTx+bCUwftvbt29vcbtOmTbomX8wMMvJ+m7J9M+tM+o5ATzeALMHX11dOTk5Gb/eOHTuMoXIXL17UsWPHjGVTu9TUf//9pyNHjhgTVu3du9dmSFh6zlHLiJw5c6ps2bLG+Z/bt283ZofdsWOHEWpdXV3v+gt2WpycnOTv76+RI0eqU6dOkm5NpPPzzz/fsyc4KSlJvr6+NhOrnDt3Tq+++qpOnTplTEp0++RelSpVko+Pj5YtW6aLFy/qjTfe0MKFCx/Kc7d//37NmTPHuF2zZs1UJ1GTMv7lMTAwUH5+fjpy5Ii2b99uzIouSa1atTL+nydPHuXOnVsXL16UdGsCnJo1a96xvfj4+LuOTkittqSkJFWtWtXmUjO7d+829r1y5UoNHDgwQ8eUESkDT/KPPSlnuS9durTeeecdSbcm7Eoehn37NrJly6Y2bdoY54smJCRo7NixWrBggRISEvTTTz8pICBAfn5+xukPKWeFv11GT6t4EClfy4ULF9aaNWtSHV2QVtsmCw4ONuZSiI2N1dixY1Md9nkvqb1WUraLl5eXzesi+Vz1lFLOpC/d+hEgeVLGI0eOZKiHOeVz5Obmpo0bN6Z6nnF6nqO0pDyf9/Zh8w8i5es8MTHRmMejZMmSxvnyyfM7JEt5O/lzI+Xnx969e3X9+nWjt/uvv/4yHvP09JS3t3eG/jYk23Z/mMd/u2LFihmnzUi2r42DBw9muJe7VKlSxv9Tft6mV2rvQ/fzmktKSlLdunWNY0lKStLq1avVu3dvSbfeTzt06CDp4b/W6tevrwIFCuiff/6Ri4uLXn311TSXL1mypPFemNZrr3jx4jKZTDY/wEdFRenChQvGjx07d+5MdR/2eL9N2b4p2z2rI3QDyBJy5cqlF154QWvWrJF0a1K12NhY5cqVS3PmzDECdJ48ee4683avXr3UvXt3STKGHkq3PvDSM7T8yJEjxodRymFjFy9eNGZnLVSokNET9vrrr6t///6SpJkzZ8rLy0t58uTRpEmTjHVffvnlB7ocR40aNYwhb5L06aefql69emkG09mzZ+v3339XnTp1VLhwYeXKlUsnTpwwwqZ053B46daXxY8//lj//feffvnlF507d05vvPGGvvrqK/n4+GSo7hMnTmj79u13XKdbuvWDxcMOoS1bttTYsWOVmJhonGeaJ08ePf/888YyJpNJLVq0MGa87t+/v7p06aJSpUopPj5eMTEx2rVrl3755Zc7vkClpVevXjKbzapWrZoKFCggd3d3m179lD1yD+OSYQcPHjTOa02+tF6yp556SpJtWDt48KAWLlyoIkWK6Ntvv031C/W///6r1157TfXr11epUqWUP39+Xb16VX///fcdxxEcHKx58+YpMTFRK1askIeHh+rUqSNXV1edOXNGR44c0fr169WtW7eHforC3dSoUUOFChXS6dOnFRMTo86dO6t169bKkyePzp07p6ioKP3xxx8qXrx4mqcVSLd+xGndurVxnvb//vc/HT16VMHBwfLx8dHVq1eNaxJnVMp2uXTpkj777DP5+/vrp59+spmsLlmePHlUrVo1Y9TC8OHDjUsA3j5j/r1YLBYFBARoz549unbtmjp06KCQkBAVLFhQFy9eVHR0tP78808lJiZq7ty593V8km0v7dmzZ7Vs2TIVKVJEbm5udwxZT0tsbKy2b98u6f+GlyfLnTu30UMXHBxsfG788ssvGjt2rKpXr67t27cbk3IlLyfdmgdi0qRJunr1qs6fP6+ePXuqTZs2OnPmjM2kb82aNZOzs7POnTuX7r+N24//t99+U+XKleXm5iYfHx8VKlQo3cd/L7lz59azzz5rvG6SXxtubm7puuTl7cqUKaMcOXIoNjZW+/btk9VqTXMG8/S8D93Pa+61114zLsWWP39+OTs7G+/p0t2f6wMHDujnn39Wnjx5lDNnzvsKk87Ozho+fLj27NmjIkWK3PWH4WTNmzfXvHnzlJSUpAMHDmjAgAFq2LChDh06ZDO5X/Jrr2bNmvLw8FBcXJxu3Lihnj17qmPHjjp//rzNay8le7zf7t69W9Ktz8SHOefC447QDSDL+PDDD3Xo0CEdP35c586dMybESebu7q4JEyak2gvj5eWl+Ph449fwZC4uLho2bFi6ek9XrVqVam/ToUOHjDAfHBysMWPGSLr1gbtx40b98MMPunbtms0laaRbPYxpXUs3vd5++23jkl2RkZFat26dXnzxxbsub7Va9eeff9pMspNS2bJlU50VWLr1pWPq1Knq3Lmztm3bppiYGCN4p+dyZclmzJhhzCqbUtGiRTV16tRURys8iJdfflmTJk2yuQRQ8+bN7xga2LNnT+3Zs0dbt27Vv//+e88Alh5xcXHauHHjXYdU3j4R2YNKnhn6diVKlDCG2vv7+yswMFA7d+5UQkKC8drMnj278SX4didPnrS5BFdKzs7Oatq0qaRbX6QHDx5szKi7aNEim1n2HSFbtmyaPHmyunbtqsuXL9/19Z/eURsffvihXFxcjEnTtm7detfz4zMy/DRv3rxq0qSJVq5cKUnGF22z2awqVaoYITOlgQMHqm3btoqPj9fp06eN95S8efMaISm9JkyYoA4dOujMmTPau3evQkND71jmQS+vWLJkSRUsWFBnzpyR1Wo1fpgsVqyYEY7TIzIy8q7n5vft29fo5XzhhRfUvn17ffXVV0pKStLs2bONc2mTtW7d2ph809vbWx9//LFxybBff/1Vv/76q83y5cqVsxnOnt6/DenWD0DJ+9+7d69xHnOvXr2MEScPy6BBg/Tqq68qLi7O5rVRqFAheXl5ZWhOArPZrIYNGxo/kG7dujXNibnS8z4kZfw1d+nSJS1ZssSYIOx2yQFWuvUDmbu7u65evarY2Fj16NFDklS9evX7/uGoTp06qlOnTrqWLVOmjN5//31jBvPw8HCbyTqlW5OqJffMe3p6asCAAcZcBdu2bdO2bdsk3XreUmuvh/1+e+LECeMHkqCgIJvTCrI6zukGkGV4e3tryZIl6tGjh8qUKSN3d3e5uLjIx8dHLVu21NKlS23OR03Jw8ND33zzjZo1ayYvLy9ly5ZNlStX1pw5cx7KDMp3M27cOI0aNUqBgYHKnj27smXLpqeeekrvvvuuvv7667tOFpYRybMCJ0u+tnJay7dv317lypVT3rx55ezsLDc3Nz311FPq3Lmz5s6dm+Y1dbNly6bPPvvMuExKVFSUOnbseMdEaPdiNpvl6emp4sWLq27duho9erRWrlx513O5H0TevHlterUl2VxWKJmbm5vmzp2rESNGqFq1avLy8pKzs7Py5cuncuXK6Y033rjjer/38tprr+nll19WyZIllStXLpnNZuXIkUMVK1bUoEGD7Da03GQyycPDQ2XLltU777yjb7/91phx2snJSZ9++qlatGihfPnyKXv27HrmmWc0f/58oxcqpZw5c6pXr16qWbOmChcuLDc3Nzk7Oyt//vyqX7++Fi5caDOxU7t27bRo0SI1bdpUhQsXlouLizw9PVWiRAk1bNhQY8eOzdCEeA9DYGCgfvjhB3Xs2FFPP/203N3d5ebmpiJFiqhGjRoaMGBAuq+n7OzsrKFDh2rp0qVq06aNnnrqKXl4eBhtW7p0abVo0UKTJk26axi7m5EjR6pDhw4qWLCg3NzcVKFCBc2cOdO4rN3typQpo4ULFyooKEju7u7KkSOH6tevr//9738Zfn8pXry4li9fru7duxvny7q6uqpw4cKqWrWq+vTpo2HDhmVom7czm82aPn26qlatKnd39wfaVjIXFxcVKFBA9erV05w5c9S6dWubx4cMGaJPPvlEtWrVUu7cuY3LNgYFBWnKlCnG7PXJmjRposWLF6tZs2YqVKiQXFxclD17dpUrV07vv/++vvnmG+OqBBn926hZs6YGDBigYsWKpfta1/fr6aef1tdff62aNWsar42GDRvqm2++sRlund52SJ64TNJdJw+7XVrvQ1LGX3Ndu3ZVw4YN5evrK09PT5nNZnl5ealatWoaN26c3njjDWPZXLlyKSwsTP7+/sZs9o9a586dNX/+fNWvX1/e3t5ydnZWjhw5VKlSJQ0fPlwzZsyw+WGuVatWmjx5siwWi1xcXOTt7a3XX3/dZnTe7R7m++2KFSuM/6dsb0imJEfPpgEAmdSWLVuMSwP5+Pho/fr1Dq4IAADHOnDggJo1aybp1g9wf/75Z7qufCFJb731ln755Rdlz55d69evT3Omfzxebty4oXr16unMmTMqU6aMwsPD0/wBPqvhmQAAAABg4/r162rdurW+//57HTx4UKdOndK6detsTrOqU6dOugO3JL3//vtydnZWfHy8XWcKx6P3/fff68yZM5JuzWlC4LZFTzcA3AU93QCArOr69es2Q9tvV7x4cc2fPz9D83EAWRUTqQEAAACw4ezsrJCQEG3fvl2nT5/WlStXlD17dvn5+emFF15Qu3btHujyb0BWQk83AAAAAAB2wmB7AAAAAADshNANAAAAAICdcE438ARLTEzUzZs35eTkJJPJ5OhyAAAAgCdGUlKSEhMT5ezsnOaM7YRu4Al28+ZN7dmzx9FlAAAAAE+sgIAAubq63vVxQjfwBEv+xa1s2bJpvhHAfqxWq/bs2aOAgACZzWZHl5Nl0Q6ORxs4Hm2QOdAOjkcbON6T0gbJx3Gv65ITuoEnWPKQcrPZ/Fi/oT0JaIPMgXZwPNrA8WiDzIF2cDzawPGelDa412mcTKQGAAAAAICdELoBwM7c3d0dXQJEO2QGtIHj0QaZA+3geLSB42WlNjAlJSUlOboIAPZhtVoVERGhihUrPhFDdwAAAIBEa6KczI7vP07vd23O6QaygCkfLtDxgzGOLgMAAAB4IEVLFtQHYzo5uowMIXQDWcCp4//oSORJR5cBAAAAZDmO75MHAAAAAOAJRegGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6AQAAAACwE0I3AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdMOuQkJC9PHHHzu6DAAAAABwCEI37CosLEy9evVK17LR0dGyWCyKjIy0c1XpY7FYtHbtWrvvJ7MdNwAAAICHx9nRBeDJ5uXl5ZD9JiQkyMXFxSH7Tnbjxg25uro6tAYAAAAAjkVPN+wq5fDyunXrasaMGRowYIACAwNVp04dLVq0yFj2hRdekCQ1b95cFotFISEhxmOLFy9Wo0aNFBAQoIYNG2rhwoXGY8k9xatWrVL79u0VEBCgH3744Z7r3bhxQ8OHD1fNmjUVEBCg559/Xp9//rlRqyR1795dFovFuJ2WsLAwvfzyy1q8eLHq1q2r8uXLS5J+//13vfbaa6pSpYqeeeYZdevWTVFRUQ983AAAAAAyP3q68UjNmTNHPXv21FtvvaWffvpJw4YNU9WqVVWyZEktXrxYrVq10ty5c/XUU08ZPdXLly/X1KlTNXToUJUpU0aRkZEaMmSIsmfPruDgYGPbEyZMUGhoqMqUKaNs2bLdc70FCxZo/fr1mjJligoVKqTTp0/rzJkzkqTvvvtO1atX1+jRo1WrVi2ZzeZ0HV9UVJR++uknTZ8+XU5Ot37Tunr1qjp27CiLxaL4+HhNnTpV3bt31/fffy8nJ6cHPm4AAAAAmRehG4/Uc889p3bt2kmSunTporlz52rLli0qWbKk8uTJI+nWkHRvb29jnbCwMIWGhqp+/fqSpKJFi+rw4cNatGiRTfjs0KGDsUx61jt9+rR8fX1VuXJlmUwm+fj4GOsm15IzZ06bWu4lISFB48aNM9aXpAYNGtgsM2rUKFWvXl2HDx9WqVKlHvi4AQAAAGRehG48UhaLxfi/yWRSvnz5dP78+bsuHx8fr6ioKA0aNEhDhgwx7r9586Zy5Mhhs6y/v3+G1gsODlanTp3UsGFD1apVS3Xq1FHNmjUf6PgKFy5sE7gl6fjx45o2bZp27dqlixcvKikpSZJ0+vRplSpV6oGPGwAAAEDmRejGI+XsbPuSM5lMRghNTXx8vCRpxIgRqlChgs1jycO3k2XPnj1D65UrV07r1q3T77//rk2bNql3794KCgrStGnTMnhU/8fd3f2O+9566y35+Pho5MiRyp8/vxITE/XSSy8pISHhrtvJyHEDAAAAyLwI3cg0ks9ltlqtxn358uVT/vz5dfLkSTVr1izd20rvep6enmrcuLEaN26sBg0a6M0339SlS5fk5eUlFxcXm1rux8WLF3Xs2DGNHDlSVapUkSRt377dZpmHedwAAAAAMhdCNzKNvHnzys3NTRs2bFDBggWVLVs25ciRQz179tTIkSOVI0cO1apVSzdu3NDff/+ty5cvq2PHjnfd3r3WmzNnjry9vVWmTBk5OTlp9erV8vb2Vs6cOSVJPj4+2rx5sypVqiRXV1flypUrw8eUK1cueXl5adGiRfL29lZMTIwmTpxo1+MGAAAAkHkQupFpODs7a/Dgwfrkk080bdo0ValSRQsWLFCrVq3k5uamWbNmady4ccqePbtKlSqlDh06pLm9e63n4eGhL7/8UidOnJCTk5MCAgI0c+ZMY/h2//79NWbMGC1evFgFChTQ+vXrM3xMTk5Omjx5skaOHKmXXnpJJUqU0ODBg20uC/awjxsAAABA5mFKSuuEWgCPNavVqoiICC2cvFb7dx13dDkAAADAA/ErU1Rh3w50dBmS/u+7dsWKFdO8xDAzMgEAAAAAYCcMLwfSqUmTJoqJiUn1sY8++ogJzwAAAADcgdANpNPMmTN18+bNVB/LmzfvI64GAAAAwOOA0A2kk4+Pj6NLAAAAAPCY4ZxuAAAAAADshNANAAAAAICdELoBAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3QAAAAAA2AmhGwAAAAAAOyF0AwAAAABgJ4RuAAAAAADsxNnRBQCwP5/iBZRww+roMgAAAIAHUrRkQUeXkGGEbiAL6P1RiMxms6PLAAAAAB5YojVRTubHZ9D241MpgPtmtdLL7ShWq1X79u2jDRyMdnA82sDxaIPMgXZwPNrA8R60DR6nwC0RugHA7q5everoEiDaITOgDRyPNsgcaAfHow0cLyu1AaEbAAAAAAA7IXQDAAAAAGAnhG4AAAAAAOyE0A0AAAAAgJ0QugEAAAAAsBNCNwAAAAAAdkLoBgA7c3d3d3QJEO2QGdAGjkcbZA60A5C1ODu6AAD2ZzabHV1ClmU2m1W2bFlHl5Hl0Q6ORxs4Hm2QOdAOqUu0JsrJTH8gnkyEbiALmDp5qY4fP+voMgAAAO5QtKi33u/fytFlAHZD6AaygFOnzuvI4dOOLgMAAADIchjDAQAAAACAnRC6AQAAAACwE0I3AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6AQAAAACwE0I3AAAAAAB2QugGAAAAAMBOHtvQHRYWppdffjnL7PduQkJC9PHHHzu6jEfCYrFo7dq1kqTo6GhZLBZFRkbe9/Yc9dxlttcQAAAAAPt5LEJ3yrDlaJ06ddLcuXMdXYZdPIwg+6gUKlRIGzdu1NNPPy1J2rJliywWiy5fvpzubYSFhalXr172KvGunuTXEAAAAABbzo4u4HHj4eEhDw8PR5fx2EpISJCLi8sDb8dsNsvb2/uBtuHl5fXAddyPe72Gbty4IVdX10dYEQAAAAB7yVBPd0hIiEaMGKGPP/5YVatWVVBQkL799lvFx8drwIABCgwMVL169fTbb78Z62zdulUtW7aUv7+/atasqQkTJujmzZs22xw5cqTGjRunatWqqUaNGgoLCzMer1u3riSpe/fuslgsxu1ky5YtU926dVW5cmX16dNHV65cMR5bvXq1mjZtqvLly+uZZ57RG2+8ofj4+Hse55YtW9SyZUtVrFhRVapUUZs2bXTq1ClJdw4NDg0N1TvvvKNZs2apZs2aeuaZZ/TRRx8pISHBWObGjRsaP368ateuLX9/f9WrV0+LFy82Hj948KDefPNNBQYGKigoSO+//74uXLhwzzpTs2zZMrVo0UKBgYGqUaOG+vXrp/PnzxuP//fff+rXr5+effZZlS9fXvXr19eSJUskSS+88IIkqXnz5rJYLAoJCUnXPr/77js1adLEaOPhw4cbj1ksFn399dd66623VLFiRc2YMUOStHbtWgUHBysgIEAvvPCCpk+fbvO6OH78uNq1a6eAgAA1btxYf/zxh80+U/bKR0dH6/XXX5ckVa1aVRaLRaGhofes+/bh5XXr1tWMGTOM13KdOnW0aNEim3V2796t5s2bKyAgQC1atNCaNWtsRgeEh4erSpUqNuusXbtWFovFuH2319Bnn32mmjVrqmHDhpo+fbpeeumlO2p++eWXNWXKlHseGwAAAIDMIcM93UuXLtWbb76pxYsXa9WqVRo2bJjWrFmjevXqqVu3bpo7d64++OAD/frrr7p8+bK6du2q4OBgjR07VseOHdPgwYOVLVs29ejRw2abHTt21LfffquIiAiFhoaqUqVKqlGjhr777jtVr15do0ePVq1atWQ2m431oqKitG7dOs2YMUOXL19W79699cUXX6hPnz46e/as+vXrp/fff18vvvii4uLitH37diUlJaV5fDdv3lT37t3VqlUrTZo0SQkJCdq9e7dMJtNd19myZYu8vb01b948RUVFqU+fPipTpoxat24tSfrggw8UERGhwYMHq3Tp0oqOjtbFixclSZcvX1aHDh3UqlUrDRgwQNevX9eECRPUu3dvzZ8/P6PNo5s3b6pXr14qWbKkzp8/rzFjxig0NFRffPGFJGnq1Kk6cuSIvvjiC+XOnVtRUVG6du2aJGnx4sVq1aqV5s6dq6eeeipdPdJff/21xowZo379+um5555TbGysduzYYbPM9OnT1a9fPw0aNEhms1nbt29X//79NXjwYFWpUkVRUVEaMmSIJOndd99VYmKievToobx582rx4sWKjY3VqFGj7lpDoUKFFBYWph49emj16tXy9PSUm5tbhp87SZozZ4569uypt956Sz/99JOGDRumqlWrqmTJkoqLi1O3bt0UFBSk8ePHKzo6+qGdE75582Z5enpqzpw5kqQcOXLok08+0e7du1W+fHlJ0r59+3TgwAFNnz79oewTAAAAgP1lOHSXLl1a77zzjiSpW7duRnhLDpjdu3fXN998owMHDuiXX35RwYIFNXToUJlMJvn5+emff/7RhAkT1L17dzk53epot1gsevfddyVJxYsX11dffaXNmzerRo0aypMnjyQpZ86cdwwnTkpK0ujRo+Xp6SlJatasmTZv3qw+ffro3LlzunnzpurVqycfHx9jP/dy5coVxcbG6vnnn1exYsUkSX5+fmmukytXLg0dOlRms1l+fn6qXbu2Nm/erNatW+vYsWP68ccfNWfOHAUFBUmSihYtaqz71VdfqWzZsurbt69x36hRo1S7dm0dO3ZMJUqUuGfNKbVs2dL4f9GiRTVo0CC1bNlScXFx8vDwUExMjMqUKaOAgABJUpEiRYzlk59rLy+vdA/d/uyzz9SxY0d16NDBuC85JCZ76aWX9Morrxi3Bw4caPwYk1xnr169NH78eL377rvatGmTjh49qi+//FIFChSQJPXp00ddunRJtQaz2axcuXJJkvLmzaucOXOmq/bUPPfcc2rXrp0kqUuXLpo7d662bNmikiVLasWKFUpMTNSoUaOULVs2Pf300zpz5oyGDRt23/tLlj17do0cOdJmWHnNmjUVHh5uPJ/h4eGqWrWqzesHAAAAQOaW4dCdMriazWZ5eXmpVKlSxn358uWTJJ0/f15HjhxRYGCgTS9x5cqVFR8frzNnzqhw4cJ3bFOSvL29bYZE342Pj48RuCUpf/78xnqlS5dW9erV1bRpU9WsWVM1a9ZUgwYNjHB2N15eXmrRooU6d+6sGjVqqHr16mrUqJHy589/13Weeuopmx54b29vHTx4UJIUGRkps9msqlWrprru/v37tWXLFgUGBt7xWFRUVIZD999//63p06dr//79+u+//4ye/dOnT+upp57Sa6+9pp49e2rfvn2qUaOGXnzxRVWqVClD+0h2/vx5nT17VtWrV09zOX9/f5vb+/fv144dO4yh5pJktVp1/fp1Xb16VUeOHFHBggWNwC0p1efHHlK+Fk0mk/Lly2e8po4cOSKLxaJs2bI99LpKlSp1x3ncrVu31sCBAzVgwACZTCb98MMPGjBgwEPZHwAAAIBHI8Oh29nZdhWTyWRzX3LAvtcw7nttMz3r375eyv2azWbNmTNHO3bs0B9//KEFCxZo8uTJ+vbbb+/ZUzh69GiFhIRow4YN+vHHHzVlyhTNmTNHFStWzHD99xrmHB8fr+eff17vvffeHY9ldKKw+Ph4de7c2Th3Pnfu3Dp9+rQ6d+5snGNeu3Zt/fLLL/rtt9/0xx9/6I033lC7du3Uv3//DO1Lkk34TEv27NnvqLNHjx6qX7/+fW/TXu73tZjMycnpjuVTnt9/N+7u7nfc9/zzz8vV1VVr1qyRi4uLbt68qYYNG6a7FgAAAACOZ9dLhvn5+Wnnzp02IeSvv/6Sh4eHChYsmO7tuLi4yGq1Znj/JpNJlStXVs+ePbVs2TK5uLik+9JjZcuWVbdu3fS///1PpUqV0ooVKzK8f+lWD2ZiYqK2bduW6uPlypXToUOH5OPjI19fX5t/t4fVezl69KguXbqk9957T1WqVJGfn1+qIwby5Mmj4OBgTZgwQQMHDjQmC0s+hzu9z7Wnp6d8fHy0efPmDNVZtmxZHTt27I7j9fX1lZOTk/z8/HTmzBmdPXvWWCciIiLNbWa09vvh5+enAwcO6Pr163etK3fu3IqLi7OZsG///v33tT9nZ2c1b95c4eHhCg8PV5MmTe77XHUAAAAAjmHX0N22bVudOXNGI0aM0JEjR7R27VqFhYWpY8eOxvnc6ZEc7M6dO6f//vsvXevs2rVLM2bM0J49exQTE6Off/5ZFy5cUMmSJdNc7+TJk5o4caJ27typU6dOaePGjTp+/Pg917ubIkWKKDg4WAMHDtTatWt18uRJbdmyRatWrZJ06zn677//1LdvX+3evVtRUVHasGGDBgwYkOEAWbhwYbm4uGjBggU6efKk1q1bp08//dRmmalTp2rt2rU6ceKEDh06pF9//dU4Zz1v3rxyc3PThg0b9O+//yo2Nvae++zRo4fmzJmj+fPn6/jx49q7d68WLFiQ5jrdu3fX999/r+nTp+vQoUM6cuSIVq5cqcmTJ0uSgoKCVLx4cYWGhmr//v3avn278djd+Pj4yGQy6ddff9WFCxcUFxd3z9oz6qWXXpLJZNLgwYN1+PBh/fbbb5o9e7bNMhUqVJC7u7smTZqkqKgo/fDDDwoPD7/vfbZq1Up//vmnNmzYYHNePAAAAIDHg11Dd4ECBTRz5kzt3r1bL7/8soYNG6aWLVvq7bffztB2+vfvr02bNqlOnTrG5Fv34unpqW3btqlr165q0KCBpkyZotDQUNWuXTvN9dzd3XX06FH16NFDDRo00NChQ9WuXTu1adMmQzWnNGzYMDVo0EDDhg1To0aNNGTIEF29elXSrefom2++UWJiojp37qymTZtq1KhRypEjR4Z+mJBu9WCPGTNGq1evVuPGjfXFF1/cMWzcxcVFkyZNUrNmzdS+fXs5OTlp0qRJkm71rA4ePFiLFi1SrVq1jAnz0pL8g8LXX3+tl156Sd26ddOJEyfSXKdWrVqaMWOGNm7cqJYtW6p169aaO3euMeGdk5OTpk+frmvXrqlly5YaNGiQ+vTpk+Y2CxQooB49emjixIkKCgrSiBEj7ll7Rnl4eGjGjBk6ePCgmjdvrsmTJ99xWoCXl5fGjx+v33//XU2bNtXKlSttZurPqOLFiyswMFAlS5ZUhQoVHvQQAAAAADxipqSMnLAKwEZ0dLReeOEFLVu2TGXKlHno209KSlL9+vXVtm1bdezYMcPrW61WRURE6Ouvtmt/ZPRDrw8AAOBB+T1VSNOm37uz52FJ/n5UsWJFm8mQ8eg8KW2Q3uPI8ERqAB6NCxcuaOXKlfr333/VokULR5cDAAAA4D5kydCd1mWevvjiC1WpUuURVnN3MTExatKkyV0fX7lypXHZNXt5XJ6r22WG5+5BVa9eXblz59bw4cPveak7AAAAAJlTlgzdy5Ytu+tjKa8N7Wj58+dPs9a0rh3+sDwuz9XtHtVzV6RIER04cOChbOt29touAAAAgEcnS4ZuX19fR5eQLs7Ozg6v1dH7v1+Z4bkDAAAAALvOXg4AAAAAQFZG6AYAAAAAwE4I3QAAAAAA2AmhGwAAAAAAOyF0AwAAAABgJ4RuAAAAAADshNANAAAAAICdELoBAAAAALATZ0cXAMD+fHzyKiHB6ugyAAAA7lC0qLejSwDsitANZAG9+gTLbDY7ugwAAIBUJVoT5WRmEC6eTLyygSzAaqWX21GsVqv27dtHGzgY7eB4tIHj0QaZA+2QOgI3nmS8ugHAzq5everoEiDaITOgDRyPNsgcaAcgayF0AwAAAABgJ4RuAAAAAADshNANAAAAAICdELoBAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3QBgZ+7u7o4uAaIdMgPawPFoAwB49JwdXQAA+zObzY4uIcsym80qW7aso8vI8mgHx6MNHM8ebWBNTJTZiT4cAEgLoRvIAiZ88YOOnTzn6DIAAE+QYoXzaWD3YEeXAQCZHqEbyAKiT5/X4eNnHF0GAAAAkOUwHggAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6AQAAAACwE0I3AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6YRehoaF65513HF2GjejoaFksFkVGRkqStmzZIovFosuXL9/3NuvWrau5c+caty0Wi9auXfugpQIAAAB4QhC6s5CQkBB9/PHHdl/ncREYGKiNGzcqR44ckqTw8HBVqVLlgba5ceNGPffccw+jPAAAAABPAGdHFwBkVEJCglxcXB54O66urvL29n4IFf2fh709AAAAAI83erqziNDQUG3dulXz58+XxWKRxWJRdHS0tm7dqpYtW8rf3181a9bUhAkTdPPmzTTXsVqtGjhwoOrWravy5curQYMGmjdv3n3XlpiYqC+++EL16tWTv7+/6tSpo88++0zS/w0JX7Vqldq3b6+AgAD98MMPkqTFixerUaNGCggIUMOGDbVw4UKb7e7evVvNmzdXQECAWrRoYQwrT5ZyePmWLVs0YMAAxcbGGscaFhaW4WNJObw8ufaff/5ZISEhqlChgpo1a6adO3farLN9+3a1bdtW5cuXV+3atTVy5EjFx8cbjy9cuFD169dXQECAgoKC1LNnzwzXBQAAAMAx6OnOIgYNGqTjx4/r6aefNkJbYmKiunbtquDgYI0dO1bHjh3T4MGDlS1bNvXo0SPVdfLkyaPExEQVLFhQU6dOlZeXl3bu3KmhQ4fK29tbjRs3znBtEydO1OLFizVgwABVrlxZZ8+e1bFjx2yWmTBhgkJDQ1WmTBlly5ZNy5cv19SpUzV06FCVKVNGkZGRGjJkiLJnz67g4GDFxcWpW7duCgoK0vjx4xUdHZ3mMPnAwEANHDhQ06ZN0+rVqyVJ2bNnz/CxpGby5Mnq37+/fH19NXnyZPXr108///yznJ2dFRUVpS5duqhXr14aNWqULly4oBEjRmjEiBEaPXq09uzZo48//ljjxo1TYGCg/vvvP23fvv2h1AUAAADA/gjdWUSOHDnk4uIiNzc3Ywj05MmTVbBgQQ0dOlQmk0l+fn76559/NGHCBHXv3j3VdSTJbDbb9LYWLVpUERERWr16dYZD95UrVzR//nwNHTpUwcHBkqRixYrdcW51hw4dVL9+feN2WFiYQkNDjfuKFi2qw4cPa9GiRQoODtaKFSuUmJioUaNGKVu2bHr66ad15swZDRs2LNU6XF1dlSNHDplMpoc+RLxTp06qU6eOJKlnz55q0qSJTpw4IT8/P33++edq2rSp3njjDUlS8eLFNWjQIIWEhGjYsGE6ffq03N3dVadOHXl6esrHx0dly5Z9qPUBAAAAsB9CdxZ25MgRBQYGymQyGfdVrlxZ8fHxOnPmjAoXLnzXdRcuXKglS5YoJiZG169fV0JCgkqXLp3hGo4ePaobN27o2WefTXM5f39/4//x8fGKiorSoEGDNGTIEOP+mzdvGpOiHTlyRBaLRdmyZTMeDwwMzHB9D4PFYjH+nxzoL1y4ID8/P+3fv18HDhwwhsxLUlJSkhITExUdHa2goCAVLlxYL774omrVqqVatWqpXr16cnd3f+THAQAAACDjCN3IsJUrV2rs2LHq37+/AgMD5eHhoVmzZmnXrl0Z3lbKUJyWlEO9k893HjFihCpUqGCznJNT5pumIOWkb8k/cCQmJkq6dSxt2rRRSEjIHesVKlRIrq6uWrp0qbZu3aqNGzdq2rRpmj59ur777jvlzJnz0RwAAAAAgPtG6M5CXFxcjLAnSX5+fvrpp5+UlJRkhMG//vpLHh4eKliwYKrrSNKOHTsUGBiodu3aGfdFRUXdV03FixeXm5ub/vzzTxUtWjRd6+TLl0/58+fXyZMn1axZs1SX8fPz0/fff6/r168bwT4iIiLN7bq4uMhqtWao/gdVtmxZHT58WL6+vnddxtnZWUFBQQoKCtK7776rqlWr6s8//7QZbg8AAAAgc8p83YKwGx8fH+3atUvR0dG6cOGC2rZtqzNnzmjEiBE6cuSI1q5dq7CwMHXs2NHoMb59ncTERPn6+urvv//Whg0bdOzYMU2ZMkV79uy5r5qyZcumLl26aPz48Vq2bJmioqIUERGhxYsXp7lez549NXPmTM2fP1/Hjh3TgQMHtGTJEs2ZM0eS9NJLL8lkMmnw4ME6fPiwfvvtN82ePfuez098fLw2b96sCxcu6OrVq/d1TBnRpUsX7dy5U8OHD1dkZKSOHz+utWvXavjw4ZKkX375RfPnz1dkZKROnTqlZcuWKTExUSVKlLB7bQAAAAAeHD3dWUinTp0UGhqqJk2a6Nq1a1q3bp1mzpypcePG6dtvv5WXl5datmypt99+O8112rRpo8jISPXp00cmk0lNmjRR27Zt9fvvv99XXe+8847MZrOmTZums2fPytvbW23atElznVatWsnNzU2zZs3SuHHjlD17dpUqVUodOnSQJHl4eGjGjBn68MMP1bx5cz311FN677331KNHj7tus1KlSmrTpo169+6tS5cu6d13301z+YehdOnSWrBggaZMmaK2bdtKujUpXPKEdDly5NCaNWs0ffp0Xb9+Xb6+vpo4caKefvppu9YFAAAA4OEwJSUlJTm6CAD2YbVaFRERobnLIxR5OMbR5QAAniBPFS+oGR93cXQZj53kz+aKFSvKbDY7upwsiTZwvCelDdJ7HAwvBwAAAADAThheDruKiYlRkyZN7vr4ypUr07w0mSNt375dXbrc/Rf8nTt3PsJqAAAAADyOCN2wq/z582vZsmVpPp5Z+fv7p1k7AAAAANwLoRt25ezsnOblsDIzNze3x7Z2AAAAAJkD53QDAAAAAGAnhG4AAAAAAOyE0A0AAAAAgJ0QugEAAAAAsBNCNwAAAAAAdkLoBgAAAADATgjdAAAAAADYCaEbAAAAAAA7IXQDAAAAAGAnzo4uAID9FSmUVwk3Ex1dBgDgCVKscD5HlwAAjwVCN5AFvNelqcxms6PLAAA8YayJiTI7MXASANLCuySQBVitVkeXkGVZrVbt27ePNnAw2sHxaAPHs0cbELgB4N54pwQAO7t69aqjS4Boh8yANnA82gAAHj1CNwAAAAAAdkLoBgAAAADATgjdAAAAAADYCaEbAAAAAAA7IXQDAAAAAGAnhG4AAAAAAOyE0A0Adubu7u7oEiDaITOgDRyPNgCAR8/Z0QUAsD+z2ezoErIss9mssmXLOrqMLI92cDzawPFSawNrYqLMTvTBAIA9EbqBLGD0wh90OOaco8sAAGQixQvm07A3gh1dBgA88QjdQBZw4p/zOhh9xtFlAAAAAFkO44kAAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3QAAAAAA2AmhGwAAAAAAOyF0AwAAAABgJ4RuAAAAAADshNANAAAAAICdELoBAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3QAAAAAA2AmhGw8kNDRU77zzjqPLAAAAAIBMidD9hAkJCdHHH3/8yNbDw8MPGAAAAMCTh9ANAAAAAICdELofQEhIiEaOHKlx48apWrVqqlGjhsLCwiRJ0dHRslgsioyMNJa/fPmyLBaLtmzZIknasmWLLBaLNmzYoObNm6t8+fJ6/fXXdf78ef32229q1KiRKlWqpH79+unq1av3rCc0NFRbt27V/PnzZbFYZLFYFB0dLUnaunWrWrZsKX9/f9WsWVMTJkzQzZs301zParVq4MCBqlu3rsqXL68GDRpo3rx59/18JSYm6osvvlC9evXk7++vOnXq6LPPPjMeP3PmjPr27atq1aqpYsWKatGihXbt2nXP7UZFRentt99WUFCQAgMD9corr2jTpk02y9y4cUPjx49X7dq15e/vr3r16mnx4sXG44cOHVK3bt1UqVIlBQYGqm3btoqKijLqnj59up577jn5+/vr5Zdf1u+//26sm9yOly9fNu6LjIy0ef7Dw8NVpUoVbdiwQY0aNVJgYKA6d+6ss2fPSpLCwsK0dOlSrVu3zmiDLVu26MaNGxo+fLhq1qypgIAAPf/88/r888/v49kHAAAA4AjOji7gcbd06VJ17NhR3377rSIiIhQaGqpKlSrJ19c33duYPn26hgwZInd3d/Xu3Vu9e/eWq6urJk6cqPj4eHXv3l0LFixQ165d09zOoEGDdPz4cT399NPq2bOnJClPnjz6559/1LVrVwUHB2vs2LE6duyYBg8erGzZsqlHjx53XS8xMVEFCxbU1KlT5eXlpZ07d2ro0KHy9vZW48aNM/xcTZw4UYsXL9aAAQNUuXJlnT17VseOHZMkxcXFqX379ipQoIA+/fRTeXt7a+/evUpMTLznduPj41W7dm316dNHrq6uWrZsmd566y2tXr1ahQsXliR98MEHioiI0ODBg1W6dGlFR0fr4sWLkqR//vlH7du3V7Vq1TRv3jx5enpqx44dxo8S8+fP15w5czR8+HCVKVNGS5Ys0TvvvKMVK1aoePHi6T7+a9euafbs2Ro3bpycnJz0/vvva+zYsZo4caI6deqkI0eO6MqVKxo9erQkKVeuXFqwYIHWr1+vKVOmqFChQjp9+rTOnDmTkacdAAAAgAMRuh+QxWLRu+++K0kqXry4vvrqK23evDlDobt3796qXLmyJKlly5aaOHGi1q5dq6JFi0qSGjRooC1bttwzdOfIkUMuLi5yc3OTt7e3cf/XX3+tggULaujQoTKZTPLz89M///yjCRMmqHv37nddz2w2GyFckooWLaqIiAitXr06w6H7ypUrmj9/voYOHarg4GBJUrFixVSlShVJ0ooVK3ThwgV999138vLykqR0P4elS5dW6dKljdu9e/fW2rVrtX79erVv317Hjh3Tjz/+qDlz5igoKMg4lmQLFy6Up6enJk2aJBcXF0lSiRIljMdnzZqlLl26qEmTJpKk999/X1u2bNG8efP04Ycfpvs5SEhI0EcffaRixYpJktq1a6dPP/1UkuTh4SE3NzfduHHDpg1Onz4tX19fVa5cWSaTST4+PuneHwAAAADHI3Q/IIvFYnPb29tb58+fv+9t5M2bV+7u7jahMF++fNqzZ89913jkyBEFBgbKZDIZ91WuXFnx8fE6c+aM0RucmoULF2rJkiWKiYnR9evXlZCQYBNw0+vo0aO6ceOGnn322VQfj4yMVNmyZY3AnRFxcXGaPn26fv31V507d05Wq1XXrl1TTEyMsW2z2ayqVavedd9VqlQxAndKV65c0dmzZ1WpUiWb+ytVqqT9+/dnqE53d3cjcEtS/vz57/laCQ4OVqdOndSwYUPVqlVLderUUc2aNTO0XwAAAACOQ+h+QM7Otk+hyWRSUlKSnJxunS6flJRkPJY8XDmtbZhMplS3mZ5h1g/bypUrNXbsWPXv31+BgYHy8PDQrFmz0nWe9e2yZcuW5uNubm73W6bGjh2rTZs2qX///ipWrJjc3NzUs2dPJSQkpGvbD7JvSam2dfK+U7rbayUt5cqV07p16/T7779r06ZN6t27t4KCgjRt2rQHqhkAAADAo8FEanaSJ08eSdK5c+eM+1JOqmYvLi4udwR0Pz8/7dy50ybg/fXXX/Lw8FDBggXvut6OHTsUGBiodu3aqWzZsvL19TUmF8uo4sWLy83NTX/++WeqjydPOnfp0qUMb3vnzp0KDg5WvXr1ZLFYlC9fPp06dcp4vFSpUkpMTNS2bdvuuu/t27enGpQ9PT2VP39+7dixw+b+HTt26KmnnpKUeltntBdcSr0Nkmto3LixRo4cqcmTJ+unn366r+cJAAAAwKNH6LYTNzc3VaxYUTNnztSRI0e0detWTZkyxe779fHx0a5duxQdHa0LFy4oMTFRbdu21ZkzZzRixAgdOXJEa9euVVhYmDp27Gj00qa2nq+vr/7++29t2LBBx44d05QpU+57mHu2bNnUpUsXjR8/XsuWLVNUVJQiIiKMGcSbNGmifPnyqXv37vrrr7908uRJ/fTTT9q5c+c9t+3r66s1a9YoMjJS+/fvV79+/WzCa5EiRRQcHKyBAwdq7dq1OnnypLZs2aJVq1ZJunVu9ZUrV9S3b1/t2bNHx48f17Jly3T06FFJUufOnfXFF19o1apVOnr0qCZMmKD9+/fr9ddfl3Tr3PRChQopLCxMx48f16+//qrZs2dn+Dny8fHRgQMHdPToUV24cEEJCQmaM2eOVqxYoSNHjujYsWNavXq1vL29lTNnzgxvHwAAAMCjR+i2o1GjRslqtapFixYaNWqUevfubfd9durUSWazWU2aNFH16tUVExOjAgUKaObMmdq9e7defvllDRs2TC1bttTbb7+d5npt2rRR/fr11adPH7Vu3VqXLl1S27Zt77u2d955Rx07dtS0adPUuHFj9enTRxcuXJAkubq6avbs2cqbN6+6du2qpk2baubMmTKbzffcbmhoqHLmzKk2bdrorbfeUq1atVSuXDmbZYYNG6YGDRpo2LBhatSokYYMGWJchi137tyaN2+e4uPjFRISohYtWmjx4sXGOd6vv/66OnbsqDFjxqhZs2basGGDPv30U2PmchcXF02cOFFHjx5Vs2bN9MUXX9xXW7du3VolSpTQK6+8ourVq2vHjh3y8PDQl19+qZYtW6ply5Y6deqUZs6cafxYAgAAACBzMyXd66RSAI8tq9WqiIgIzVgfob0nYhxdDgAgEylVpKDmhnZxdBlZTvJnc8WKFdPVuYCHjzZwvCelDdJ7HHSXAQAAAABgJ8xe/hiJiYkxrhWdmpUrV6Z5+S97smdtTZo0MS7/dbuPPvpIzZo1u6/tAgAAAIC9EbofI/nz59eyZcvSfNxR7FnbzJkz73q5tbx58973dgEAAADA3gjdjxFnZ2f5+vo6uoxU2bM2Hx8fu2wXAAAAAOyNc7oBAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3QAAAAAA2AmhGwAAAAAAOyF0AwAAAABgJ4RuAAAAAADshNANAAAAAICdODu6AAD251sgrxKsiY4uAwCQiRQvmM/RJQBAlkDoBrKAAe2aymw2O7oMAEAmY01MlNmJgY8AYE+8ywJZgNVqdXQJWZbVatW+fftoAwejHRyPNnC81NqAwA0A9sc7LQDY2dWrVx1dAkQ7ZAa0gePRBgDw6BG6AQAAAACwE0I3AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgCwM3d3d0eXANEOmQFtAADIipwdXQAA+zObzY4uIcsym80qW7aso8vI8mgHx3tYbWBNTJTZiT4DAMDjg9ANZAEjwpfr0Nlzji4DAB5ICe98Gtm6haPLAAAgQwjdQBZw4vx57Y854+gyAAAAgCyH8VkAAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6AQAAAACwE0I3AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDRt169bV3LlzjdsWi0Vr1651XEGPSHh4uKpUqWLcDgsL08svv3zf24uOjpbFYlFkZKQkacuWLbJYLLp8+fID1woAAADg8UHoRpo2btyo55577qFs60GD7KPUqVMnmx8fQkND9c4779z39gIDA7Vx40blyJHjIVQHAAAA4HHh7OgCkDncuHFDrq6ud9zv7e3tgGruj9VqlclkkpPTg/+W5OHhIQ8Pj4dQ1S2urq6P1XMJAAAA4OGgp/sxlZiYqM8//1x169ZV+fLl1axZM61evVrSrfA5cOBA47EGDRpo3rx5Nusn99x+9tlnqlmzpho2bJjqfm4fXn769Gn16tVLVapUUbVq1fT2228rOjraeHzLli1q2bKlKlasqCpVqqhNmzY6deqUwsPDNX36dO3fv18Wi0UWi0Xh4eH3PM7Lly9r6NChCgoKUkBAgF566SX98ssvkv5vSPi6devUuHFjBQQEKCYmRjdu3NDYsWNVq1YtVaxYUa1atdKWLVtsthseHq46deqoQoUK6t69uy5dumTzeMpe+bCwMC1dulTr1q0zar99e/dy+/Dy5No3bNigRo0aKTAwUJ07d9bZs2dt1lu8eLEaNWqkgIAANWzYUAsXLszQfgEAAAA4Fj3dj6nPP/9cy5cv10cffaTixYtr27Ztev/995UnTx4FBgaqYMGCmjp1qry8vLRz504NHTpU3t7eaty4sbGNzZs3y9PTU3PmzEnXPhMSEtS5c2dVrFhRCxculLOzsz799FO9+eabWr58uZycnNS9e3e1atVKkyZNUkJCgnbv3i2TyaTGjRvr0KFD2rBhg7G/ew21TkxMVJcuXRQXF6fx48erWLFiOnz4sE1P9rVr1/TFF19o5MiR8vLyUt68eTV8+HAdPnxYkydPVv78+bVmzRq9+eab+uGHH1S8eHHt2rVLgwYNUt++ffXiiy9qw4YNCgsLu2sdnTp10pEjR3TlyhWNHj1akpQrV650PWdpuXbtmmbPnq1x48bJyclJ77//vsaOHauJEydKkpYvX66pU6dq6NChKlOmjCIjIzVkyBBlz55dwcHBD7x/AAAAAPZH6H4M3bhxQ59//rnmzJmjwMBASVLRokX1119/adGiRapWrZp69uxpLF+0aFFFRERo9erVNqE7e/bsGjlyZKrDylOzatUqJSYm6uOPP5bJZJIkjR49WlWrVtXWrVvl7++v2NhYPf/88ypWrJgkyc/Pz2Z/ZrM53cOsN23apN27d2vVqlUqUaKEcSwpJSQkaNiwYSpdurQkKSYmRuHh4frll19UoEABSVLnzp21YcMGhYeHq2/fvpo/f75q1aqlLl26SJJKlCihnTt3asOGDanW4eHhITc3N924ceOhDhFPSEjQRx99ZDxX7dq106effmo8HhYWptDQUNWvX9849sOHD2vRokWEbgAAAOAxQeh+DJ04cUJXr15Vp06dbO5PSEhQmTJlJEkLFy7UkiVLFBMTo+vXryshIcEIpslKlSqV7sAtSfv371dUVJQqVapkc//169cVFRWlmjVrqkWLFurcubNq1Kih6tWrq1GjRsqfP/99HWdkZKQKFixoBO7UuLi4yGKxGLcPHjwoq9V6x3D5GzduyMvLS5J05MgRvfjiizaPV6xY8a6h217c3d2NwC1J+fPn1/nz5yVJ8fHxioqK0qBBgzRkyBBjmZs3bzIZGwAAAPAYIXQ/huLj4yXdGmKe3JubzNXVVStXrtTYsWPVv39/BQYGysPDQ7NmzdKuXbtslnV3d8/wfsuVK6cJEybc8ViePHkk3er5DgkJ0YYNG/Tjjz9qypQpmjNnjipWrJihfUmSm5tbupZJ7nVPrtFsNmvJkiUym802y2bPnj3DNdiTs7Ptn5/JZFJSUpKk/2vjESNGqEKFCjbLPYyJ4gAAAAA8GoTux5Cfn59cXV0VExOjatWq3fH4jh07FBgYqHbt2hn3RUVFPfB+y5Urpx9//FF58+aVp6fnXZcrW7asypYtq27duunVV1/VihUrVLFiRbm4uCgxMTHd+7NYLDpz5oyOHTuWZm93SmXKlJHVatWFCxdsrrudkp+fn3bv3m1z3+0/SNwuo7U/qHz58il//vw6efKkmjVr9sj2CwAAAODhInQ/hjw9PdWpUyeNHj1aSUlJqly5smJjY7Vjxw55enrK19dXy5Yt04YNG1SkSBF9//332rNnj4oUKfJA+23atKlmzZqlt99+W7169VKBAgUUExNjTFSWkJCgb7/9VnXr1lX+/Pl17NgxHT9+3JgF3MfHR9HR0YqMjFSBAgXk6emZ5vD2atWqqUqVKurZs6dCQ0NVrFgxHT16VCaT6a7XDi9RooSaNm2qDz74QKGhoSpTpowuXryozZs3y2KxqE6dOgoJCdFrr72mWbNm6YUXXtDGjRvvObTcx8dHGzdu1NGjR+Xl5aUcOXLIxcXl/p/MdOjZs6dGjhypHDlyqFatWrpx44b+/vtvXb58WR07drTrvgEAAAA8HITux1Tv3r2VJ08eff7554qOjlaOHDlUtmxZvfXWW6pQoYIiIyPVp08fmUwmNWnSRG3bttXvv//+QPt0d3fXV199pQkTJujdd99VXFycChQooOrVq8vT01PXrl3T0aNHtXTpUl26dEn58+dXu3bt1KZNG0lSgwYNtGbNGr3++uu6fPmyRo8erRYtWqS5z7CwMI0dO1Z9+/bV1atX5evrq379+qW5zujRo/XZZ59pzJgxOnv2rLy8vFSxYkXVqVNH0q3zt0eMGKGwsDBNmzZN1atX19tvv20zidntWrdura1bt+qVV15RfHy85s+fr2eeeSZjT2AGtWrVSm5ubpo1a5bGjRun7Nmzq1SpUurQoYNd9wsAAADg4TElJZ9ECuCJY7VaFRERoenbdmr3yRhHlwMAD6R04YJa2L2ro8t4bCV/JlSsWPGOeU/w6NAOjkcbON6T0gbpPQ5mZAIAAAAAwE4YXg6HWb58uT788MNUHytcuLBWrlz5iCtKvxkzZujzzz9P9bHKlSvryy+/fMQVAQAAAMiMCN1wmLp1695xOaxkt19OK7Np06aNGjVqlOpj6bnUGQAAAICsIXMnGzzRPD0907z0WGbm5eUlLy8vR5cBAAAAIJPjnG4AAAAAAOyE0A0AAAAAgJ0QugEAAAAAsBNCNwAAAAAAdkLoBgAAAADATgjdAAAAAADYCaEbAAAAAAA7IXQDAAAAAGAnzo4uAID9+ebNqxvWREeXAQAPpIR3PkeXAABAhhG6gSxgSItmMpvNji4DAB6YNTFRZicG6gEAHh98agFZgNVqdXQJWZbVatW+fftoAwejHRzvYbUBgRsA8LjhkwsA7Ozq1auOLgGiHTID2gAAkBURugEAAAAAsBNCNwAAAAAAdkLoBgAAAADATgjdAAAAAADYCaEbAAAAAAA7IXQDAAAAAGAnhG4AAAAAAOyE0A0Adubu7u7oEiDaITOgDQAAWZGzowsAYH9ms9nRJWRZZrNZZcuWdXQZWR7t4Hj30wbWxESZnegfAAA83gjdQBYw7KdlOvjvOUeXAQDpVjJvPo1u0tLRZQAA8MAI3UAWcPzCee0/e9rRZQAAAABZDmO2AAAAAACwE0I3AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6AQAAAACwE0I3AAAAAAB2QugGAAAAAMBOCN2PobCwML388svpXn7RokWqXbu2Spcurblz59qvMAAAAACADUJ3JmexWLR27Vqb+zp16pTu8HzlyhWNGDFCXbp00e+//65XX331gWvasmWLLBaLLl++/MDbwi3h4eGqUqWKo8sAAAAA8JA5O7oAZJyHh4c8PDzStWxMTIwSEhJUu3Zt5c+f386VZUxSUpKsVqucnXkZAgAAAHgyPVE93SEhIRo5cqTGjRunatWqqUaNGgoLC5MkRUdHy2KxKDIy0lj+8uXLslgs2rJli6T/68HdsGGDmjdvrvLly+v111/X+fPn9dtvv6lRo0aqVKmS+vXrp6tXr6arptWrV6tp06YqX768nnnmGb3xxhuKj4+XJO3evVsdO3bUM888o8qVK6t9+/bau3evsW7dunUlSd27d5fFYjFu3z68fMuWLWrZsqUqVqyoKlWqqE2bNjp16pTCw8PVtGlTSdKLL74oi8Wi6OhoRUVF6e2331ZQUJACAwP1yiuvaNOmTTZ137hxQ+PHj1ft2rXl7++vevXqafHixYqOjtbrr78uSapataosFotCQ0ONdUaOHKnq1asrICBAr732mnbv3m1Tp8Vi0W+//aYWLVooICBAy5cvV+nSpbVnzx6b/c+dO1fPP/+8EhMT03x+rVarBg4cqLp166p8+fJq0KCB5s2bd8dy3333nZo0aSJ/f3/VrFlTw4cPNx67fPmyhg4dqqCgIAUEBOill17SL7/8Yjz+008/GevWrVtXs2fPttl2aqMRqlSpovDwcEn/99r7+eefFRISogoVKqhZs2bauXOn8bwMGDBAsbGxslgsslgsxut24cKFql+/vgICAhQUFKSePXum+XwAAAAAyFyeuC7GpUuXqmPHjvr2228VERGh0NBQVapUSb6+vunexvTp0zVkyBC5u7urd+/e6t27t1xdXTVx4kTFx8ere/fuWrBggbp27Zrmds6ePat+/frp/fff14svvqi4uDht375dSUlJkqS4uDg1b95cgwcPliTNnj1bXbt21U8//SRPT0999913ql69ukaPHq1atWrJbDbfsY+bN2+qe/fuatWqlSZNmqSEhATt3r1bJpNJjRs3VqFChfTGG29o8eLFKlSokPLkyaNDhw6pdu3a6tOnj1xdXbVs2TK99dZbWr16tQoXLixJ+uCDDxQREaHBgwerdOnSio6O1sWLF1WoUCGFhYWpR48eWr16tTw9PeXm5iZJGjdunH766SeNGTNGPj4++vLLL/Xmm2/q559/lpeXl1HzxIkT1b9/fxUtWlQ5c+ZUUFCQwsPDFRAQYCwTHh6u4OBgOTml/btQYmKiChYsqKlTp8rLy0s7d+7U0KFD5e3trcaNG0uSvv76a40ZM0b9+vXTc889p9jYWO3YscNYv0uXLoqLi9P48eNVrFgxHT582Njv33//rd69e+vdd99V48aNtXPnTn300Ufy8vJSixYt0qztdpMnT1b//v3l6+uryZMnq1+/fvr5558VGBiogQMHatq0aVq9erUkKXv27NqzZ48+/vhjjRs3ToGBgfrvv/+0ffv2DO0TAAAAgGM9caHbYrHo3XfflSQVL15cX331lTZv3pyh0N27d29VrlxZktSyZUtNnDhRa9euVdGiRSVJDRo00JYtW+4Zus+dO6ebN2+qXr168vHxMepLVr16dZvlR4wYoSpVqmjbtm16/vnnlSdPHklSzpw55e3tneo+rly5otjYWD3//PMqVqyYJMnPz894PDns5smTx9hG6dKlVbp0aZvjXbt2rdavX6/27dvr2LFj+vHHHzVnzhwFBQVJknHskpQrVy5JUt68eZUzZ05JUnx8vP73v/9p9OjRql27tnE8f/zxh7777ju9+eabxvo9e/ZUjRo1jNstW7bUsGHDNGDAALm6umrv3r06ePCgPv300zSfX0lycXGx6f0tWrSoIiIitHr1aiN0f/bZZ+rYsaM6dOhgLFe+fHlJ0qZNm7R7926tWrVKJUqUuONY58yZo+rVq6t79+6SpBIlSujw4cOaNWtWhkN3p06dVKdOHeM5aNKkiU6cOCE/Pz/lyJFDJpPJpp1Pnz4td3d31alTR56envLx8VHZsmUztE8AAAAAjvVEhu6UvL29df78+fveRt68eeXu7m4TxPLly3fHcOjUlC5dWtWrV1fTpk1Vs2ZN1axZUw0aNDBC67///qspU6Zo69atOn/+vBITE3X16lXFxMSku9bkHtfOnTurRo0aql69uho1apTm+dtxcXGaPn26fv31V507d05Wq1XXrl0z9hsZGSmz2ayqVaumu46oqCglJCSoUqVKxn0uLi4qX768jhw5YrNsyh5t6dbQ9+HDh2vNmjVq0qSJli5dqmeeeUZFihRJ174XLlyoJUuWKCYmRtevX1dCQoLxo8L58+d19uzZO37gSBYZGamCBQsagft2R48e1QsvvGBzX6VKlTR//nxZrdZURx/cTcrXVXK4vnDhgs2PJCkFBQWpcOHCevHFF1WrVi3VqlVL9erVk7u7e7r3CQAAAMCxnqhzuiXdMSmXyWRSUlKSMVw4eWi3dGto9r22YTKZUt3mvc41liSz2aw5c+boiy++0FNPPaUFCxaoYcOGOnnypCSpf//+ioyM1KBBg/S///1Py5Ytk5eXlxISEtJ3sP/f6NGjtWjRIgUGBurHH39UgwYNFBERcdflx44dqzVr1qhv375auHChli1bplKlShn7TR4ubi+3h0ZXV1c1b95c4eHhunHjhn744Qe98sor6drWypUrNXbsWL3yyiuaPXu2li1bphYtWhjHki1btjTXfxjHmvwaSym115aLi4vNOpLSfB15enpq6dKlmjRpkry9vTVt2jS9/PLLzBoPAAAAPEaeuNB9N8lDtc+dO2fcl3JSNXsxmUyqXLmyevbsqWXLlsnFxcWYdGvHjh0KCQlR7dq19fTTT8vV1VUXL160Wd/FxUVWq/We+ylbtqy6deum//3vfypVqpRWrFhx12V37typ4OBg1atXTxaLRfny5dOpU6eMx0uVKqXExERt27Yt1fWTw2PKuooVKyYXFxfjXGlJSkhI0J49e/TUU0/ds/5WrVpp06ZN+vrrr2W1WlW/fv17riPdeg4DAwPVrl07lS1bVr6+voqKijIeTx6WvXnz5lTXt1gsOnPmjI4dO5bq4yVLlrQ5puR9Fi9e3OjlzpMnj86ePWs8fvz48XRPtJfsbu3s7OysoKAgffDBB1q+fLlOnTqlP//8M0PbBgAAAOA4T9zw8rtxc3NTxYoVNXPmTBUpUkTnz5/XlClT7LrPXbt2afPmzapRo4by5s2rXbt26cKFCypZsqSkW+ecL1++XAEBAbpy5YrGjRt3R89rcmCsVKmSXF1djaHpyU6ePKlvv/1WdevWVf78+XXs2DEdP37cZnbz2/n6+mrNmjWqW7euTCaTpkyZYtPjWqRIEQUHB2vgwIEaPHiwLBaLYmJidP78eTVu3Fg+Pj4ymUz69ddfVbt2bWXLlk0eHh567bXXNG7cOOXKlUuFCxfWl19+qWvXrqlly5b3fK78/PxUoUIFTZgwQa+88kq6e6B9fX21bNkybdiwQUWKFNH333+vPXv22AxN79Gjhz788EPlzZtXzz33nOLi4owfPKpVq6YqVaqoZ8+eCg0NVbFixXT06FGZTCY999xz6tSpk1q2bKlPPvlEjRs3VkREhBYuXKgPP/zQ2P6zzz6rhQsXKjAwUFarVRMmTLDp1U4PHx8fxcfHa/PmzbJYLHJ3d9eff/6pkydPqmrVqsqZM6d+++03JSYm3nUoPAAAAIDMJ8uEbkkaNWqUBg0apBYtWqhEiRJ6//331alTJ7vtz9PTU9u2bdO8efN05coVFS5cWKGhocZEYx9//LGGDBmi4OBgFSpUSH369NG4ceNsttG/f3+NGTNGixcvVoECBbR+/Xqbx93d3XX06FEtXbpUly5dUv78+dWuXTu1adPmrnWFhoZq4MCBatOmjXLnzm3M3p3SsGHDNGnSJA0bNkyXLl1S4cKF1a1bN0lSgQIF1KNHD02cOFEDBgxQ8+bNNWbMGL333ntKSkrSBx98oLi4OPn7++vLL7+844eCu2nZsqV27tyZ7qHlktSmTRtFRkaqT58+MplMatKkidq2bavff//dWCY4OFjXr1/X3LlzNW7cOHl5ealhw4bG42FhYRo7dqz69u2rq1evytfXV/369ZMklStXTlOmTNG0adP02WefydvbWz179rSZRK1///4aOHCg2rVrp/z582vgwIE2l35Lj0qVKqlNmzbq3bu3Ll26pHfffVfVq1fXmjVrNH36dF2/fl2+vr6aOHGinn766QxtGwAAAIDjmJJuPxkVcJBPPvlEq1ev1g8//ODoUp4YVqtVERERmhL5l3afOXXvFQAgkyidv5AWvf6Wo8t4oiR/JlSsWDFDE4Hi4aIdHI82cLwnpQ3SexxZ5pxuZF5xcXE6ePCgFi5cqJCQEEeXAwAAAAAPTZYaXv6wxcTEqEmTJnd9fOXKlSpcuPAjrOjxNGLECK1YsUIvvvjiHUPLhw4detee76ZNm2r48OGPokQAAAAAuC+E7geQP39+LVu2LM3HcW9jxozRmDFjUn2sV69e6ty5c6qPeXp62rMsAAAAAHhghO4H4OzsLF9fX0eX8UTLmzev8ubN6+gyAAAAAOC+cE43AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6AQAAAACwE0I3AAAAAAB24uzoAgDYX/E8eXUjMdHRZQBAupXMm8/RJQAA8FAQuoEsYFiD5jKbzY4uAwAyxJqYKLMTg/IAAI83PsmALMBqtTq6hCzLarVq3759tIGD0Q6Odz9tQOAGADwJ+DQDADu7evWqo0uAaIfMgDYAAGRFhG4AAAAAAOyE0A0AAAAAgJ0QugEAAAAAsBNCNwAAAAAAdkLoBgAAAADATgjdAAAAAADYCaEbAOzM3d3d0SVAtENmQBsAALIiZ0cXAMD+zGazo0vIssxms8qWLevoMrI82sHx7tUG1sREmZ3oCwAAPHkI3UAWMOaPcB25dNbRZQBAqny9vPXhc60dXQYAAHZB6AaygKj/zuvghRhHlwEAAABkOYzjAgAAAADATgjdAAAAAADYCaEbAAAAAAA7IXQDAAAAAGAnhG4AAAAAAOyE0A0AAAAAgJ0QugEAAAAAsBNCNwAAAAAAdkLoBgAAAADATgjdAAAAAADYCaEbAAAAAAA7IXQDAAAAAGAnhG5kCiEhIfr4448dWkPdunU1d+5c47bFYtHatWsdVxAAAACAxx6hG5lCWFiYevXq9VC29aSF5fDwcFWpUsXRZQAAAAC4D86OLgCQJC8vL0eXAAAAAAAPHT3dyBRSDi+vW7euZsyYoQEDBigwMFB16tTRokWLjGVv3Lih4cOHq2bNmgoICNDzzz+vzz//3FhXkrp37y6LxWLcjoqK0ttvv62goCAFBgbqlVde0aZNm9JdX3R0tCwWi1atWqW2bduqfPnyeuWVV3Ts2DHt3r1bLVq0UGBgoN58801duHDBZt3FixerUaNGCggIUMOGDbVw4cI7tvvzzz8rJCREFSpUULNmzbRz505J0pYtWzRgwADFxsbKYrHIYrEoLCzsPp5hAAAAAI5A6EamNGfOHPn7+2vZsmVq27athg0bpqNHj0qSFixYoPXr12vKlClavXq1xo8fLx8fH0nSd999J0kaPXq0Nm7caNyOj49X7dq1NXfuXC1dulS1atXSW2+9pZiYmAzVFRYWprfffltLly6Vs7Oz+vXrp/Hjx2vQoEFauHChoqKiNHXqVGP55cuXa+rUqerTp49WrVqlvn37atq0aVq6dKnNdidPnqzOnTtr2bJlKl68uPr166ebN28qMDBQAwcOlKenpzZu3KiNGzeqU6dO9/28AgAAAHi0GF6OTOm5555Tu3btJEldunTR3LlztWXLFpUsWVKnT5+Wr6+vKleuLJPJZARuScqTJ48kKWfOnPL29jbuL126tEqXLm3c7t27t9auXav169erffv26a6rU6dOqlWrliTp9ddfV9++fTV37lxVrlxZktSyZUuFh4cby4eFhSk0NFT169eXJBUtWlSHDx/WokWLFBwcbLPdOnXqSJJ69uypJk2a6MSJE/Lz81OOHDlkMplsjgcAAADA44HQjUzJYrEY/zeZTMqXL5/Onz8vSQoODlanTp3UsGFD1apVS3Xq1FHNmjXT3F5cXJymT5+uX3/9VefOnZPVatW1a9cy3NOdsq68efOmel/y8PL4+HhFRUVp0KBBGjJkiLHMzZs3lSNHjrtuNzlcX7hwQX5+fhmqDwAAAEDmQuhGpuTsbPvSNJlMSkpKkiSVK1dO69at0++//65Nmzapd+/eCgoK0rRp0+66vbFjx2rTpk3q37+/ihUrJjc3N/Xs2VMJCQkZqsvFxcWmpttrNZlMSkxMlHQrdEvSiBEjVKFCBZvtODnZntmR2naTtwMAAADg8UXoxmPJ09NTjRs3VuPGjdWgQQO9+eabunTpkry8vOTi4iKr1Wqz/M6dOxUcHKx69epJutXzferUKbvWmC9fPuXPn18nT55Us2bN7ns7qR0PAAAAgMcDoRuPnTlz5sjb21tlypSRk5OTVq9eLW9vb+XMmVOS5OPjo82bN6tSpUpydXVVrly55OvrqzVr1qhu3boymUyaMmXKI+lJ7tmzp0aOHKkcOXKoVq1aunHjhv7++29dvnxZHTt2TNc2fHx8FB8fr82bN8tiscjd3V3u7u52rhwAAADAw0DoxmPHw8NDX375pU6cOCEnJycFBARo5syZxpDt/v37a8yYMVq8eLEKFCig9evXKzQ0VAMHDlSbNm2UO3dudenSRXFxcXavtVWrVnJzc9OsWbM0btw4Zc+eXaVKlVKHDh3SvY1KlSqpTZs26t27ty5duqR3331XPXr0sGPVAAAAAB4WU1LyibIAnjhWq1URERGaGbNNe8+fdHQ5AJCqUnkKa3az7o4u44mX/JlQsWJFmc1mR5eTZdEOjkcbON6T0gbpPQ6u0w0AAAAAgJ0QugEAAAAAsBNCNwAAAAAAdkLoBgAAAADATgjdAAAAAADYCaEbAAAAAAA7IXQDAAAAAGAnhG4AAAAAAOyE0A0AAAAAgJ0QugEAAAAAsBNCNwAAAAAAdkLoBgAAAADATpwdXQAA+yuWK68SkqyOLgMAUuXr5e3oEgAAsBtCN5AFhNZoIbPZ7OgyAOCurImJMjsxAA8A8OTh0w3IAqxWerkdxWq1at++fbSBg9EOjnevNiBwAwCeVHzCAYCdXb161dElQLRDZkAbAACyIkI3AAAAAAB2QugGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQB25u7u7ugSINoBAAA4hrOjCwBgf2az2dElZFlms1lly5Z1dBlZHu3wYBKTEuVk4nd6AADuB6EbyAJm71mkU3GnHV0GgMdQIc8C6lahvaPLAADgsUXoBrKAf+LO6sTlU44uAwAAAMhyGCsGAAAAAICdELoBAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3QAAAAAA2AmhGwAAAAAAOyF0AwAAAABgJ4RuAAAAAADshNANAAAAAICdELoBAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3TCEhobqnXfecXQZNqKjo2WxWBQZGSlJ2rJliywWiy5fvvzIa7n9+QkJCdHHH39s3K5bt67mzp1rt/3f/lwAAAAAyPwI3Znc7cHOXus8LgIDA7Vx40blyJFDkhQeHq4qVao81H3cLdwOGjRIY8aMuet63333nV599dWHWgsAAACAx5uzowtA1pCQkCAXF5cH3o6rq6u8vb0fQkUZlxz07yZPnjyPqBIAAAAAjwt6ujOx0NBQbd26VfPnz5fFYpHFYlF0dLS2bt2qli1byt/fXzVr1tSECRN08+bNNNexWq0aOHCg6tatq/Lly6tBgwaaN2/efdeWmJioL774QvXq1ZO/v7/q1Kmjzz77TNL/9RSvWrVK7du3V0BAgH744QdJ0uLFi9WoUSMFBASoYcOGWrhwoc12d+/erebNmysgIEAtWrS4o7c55fDyLVu2aMCAAYqNjTWONSws7J61WywWrV271ua+KlWqKDw8XJL0wgsvSJKaN28ui8WikJAQSfcefp9yeHl4eLhRU8p/Ket70OcCAAAAQOZHT3cmNmjQIB0/flxPP/20evbsKelW2O3atauCg4M1duxYHTt2TIMHD1a2bNnUo0ePVNfJkyePEhMTVbBgQU2dOlVeXl7auXOnhg4dKm9vbzVu3DjDtU2cOFGLFy/WgAEDVLlyZZ09e1bHjh2zWWbChAkKDQ1VmTJllC1bNi1fvlxTp07V0KFDVaZMGUVGRmrIkCHKnj27goODFRcXp27duikoKEjjx49XdHR0msPkAwMDNXDgQE2bNk2rV6+WJGXPnj3Dx3K7xYsXq1WrVpo7d66eeuqp++qhb9y4sWrVqmXc3rp1qz744ANVqlRJkh76cwEAAAAgcyJ0Z2I5cuSQi4uL3NzcjCHVkydPVsGCBTV06FCZTCb5+fnpn3/+0YQJE9S9e/dU15Eks9lshHBJKlq0qCIiIrR69eoMh+4rV65o/vz5Gjp0qIKDgyVJxYoVu+Pc6g4dOqh+/frG7bCwMIWGhhr3FS1aVIcPH9aiRYsUHBysFStWKDExUaNGjVK2bNn09NNP68yZMxo2bFiqdbi6uipHjhwymUwPdch58jBxLy+v+96um5ub3NzcJElRUVEaPny4+vTpoxo1akh6+M8FAAAAgMyJ0P2YOXLkiAIDA2UymYz7KleurPj4eJ05c0aFCxe+67oLFy7UkiVLFBMTo+vXryshIUGlS5fOcA1Hjx7VjRs39Oyzz6a5nL+/v/H/+Ph4RUVFadCgQRoyZIhx/82bN41zpY8cOSKLxaJs2bIZjwcGBma4vswkNjZW3bp1U+3atfXmm29KyrrPBQAAAJAVEbqziJUrV2rs2LHq37+/AgMD5eHhoVmzZmnXrl0Z3lbKIJiWlEO94+PjJUkjRoxQhQoVbJZzcnq0UwuYTCYlJSXZ3Jd8TvzDZLVa1bt3b3l6emrEiBHG/ZnpuQAAAABgX4TuTM7FxUWJiYnGbT8/P/30009KSkoyerv/+usveXh4qGDBgqmuI0k7duxQYGCg2rVrZ9wXFRV1XzUVL15cbm5u+vPPP1W0aNF0rZMvXz7lz59fJ0+eVLNmzVJdxs/PT99//72uX79uBPuIiIg0t+vi4iKr1Zqh+vPkyaOzZ88at48fP66rV6/abFNShrd7u9GjR+vgwYNasmSJzQ8V9nouAAAAAGQ+dKtlcj4+Ptq1a5eio6N14cIFtW3bVmfOnNGIESN05MgRrV27VmFhYerYsaPRS3r7OomJifL19dXff/+tDRs26NixY5oyZYr27NlzXzVly5ZNXbp00fjx47Vs2TJFRUUpIiJCixcvTnO9nj17aubMmZo/f76OHTumAwcOaMmSJZozZ44k6aWXXpLJZNLgwYN1+PBh/fbbb5o9e/Y9n5/4+Hht3rxZFy5csAnPd/Pss89q4cKF2rdvn/bs2aMPP/zQZrK0vHnzys3NTRs2bNC///6r2NjYdDwrtpYsWaKvv/5aH330kUwmk86dO6dz584pLi7Obs8FAAAAgMyH0J3JderUSWazWU2aNFH16tWVkJCgmTNnavfu3Xr55Zc1bNgwtWzZUm+//fZd14mJiVGbNm1Uv3599enTR61bt9alS5fUtm3b+67rnXfeUceOHTVt2jQ1btxYffr00YULF9Jcp1WrVho5cqTCw8PVtGlThYSEaOnSpSpSpIgkycPDQzNmzNDBgwfVvHlzTZ48We+9916a26xUqZLatGmj3r17q3r16vryyy/vWXv//v1VqFAhtWvXTu+99546depkTHomSc7Ozho8eLAWLVqkWrVqpXmZsLvZtm2brFar3n77bdWsWdP4lxyc7fFcAAAAAMh8TEm3n9wK4IlhtVoVERGhH69t0JHL93c6AYCszTenj4bV6PfA20l+P6pYsaLMZvNDqAwZRRtkDrSD49EGjvektEF6j4OebgAAAAAA7ISJ1HCHmJgYNWnS5K6Pr1y5Ms1LkznS9u3b1aVLl7s+vnPnzkdYDQAAAICsjtCNO+TPn1/Lli1L8/HMyt/fP83aAQAAAOBRInTjDs7OzvL19XV0GffFzc3tsa0dAAAAwJOHc7oBAAAAALATQjcAAAAAAHZC6AYAAAAAwE4I3QAAAAAA2AmhGwAAAAAAOyF0AwAAAABgJ4RuAAAAAADshNANAAAAAICdELoBAAAAALATZ0cXAMD+Cnjk101ZHV0GgMdQIc8Cji4BAIDHGqEbyAI6Bbwqs9ns6DIAPKYSkxLlZGJwHAAA94NPUCALsFrp5XYUq9Wqffv20QYORjs8GAI3AAD3j09RALCzq1evOroEiHYAAACOQegGAAAAAMBOCN0AAAAAANgJoRsAAAAAADshdAMAAAAAYCeEbgAAAAAA7ITQDQAAAACAnRC6AcDO3N3dHV0CRDsAAADHcHZ0AQDsz2w2O7qELMtsNqts2bKOLiPLe9zaITEpUU4mfhcHAOBJQOgGsoAfD32pf6+edHQZANIhb/bCamp5x9FlAACAh4TQDWQBF+JP65/4444uAwAAAMhyGLsGAAAAAICdELoBAAAAALATQjcAAAAAAHZC6AYAAAAA/L/27jssimv/H/h7aVIkNogKUaJEVgWEBWwIFhJ7iRhLEhUVTCIWRDSwihKxF6xgEsUWiDcx1ptrvZrv1as3dprdKCgiGrsoddk9vz/8MXEDKijrgrxfz8PzsDNnznzOfBjHz86ZXdIRFt1EREREREREOsKim4iIiIiIiEhHWHQTERERERER6QiLbiIiIiIiIiIdYdFNREREREREpCMsuomIiIiIiIh0hEU3ERERERERkY6w6CYiIiIiIiLSERbdpDNKpRKjR4/WdxhaMjIyIJfLcf78eQDAsWPHIJfLkZWV9cp9+vj4YP369dJruVyO/fv3v1acFfHYERERERFR2bHormKGDh2K2bNn63ybykKhUODw4cOwtLQEAGzduhUeHh6v1efhw4fRvn371+ojPDwc8+bNk16/zTkgIiIiInqbGek7AKJXoVKpYGxs/Nr9mJiYwNrauhwi+kt59Ff0JgAREREREVVuvNNdhSiVShw/fhxxcXGQy+WQy+XIyMjA8ePH0b9/fzg5OcHLywtRUVEoLCx84TZqtRpTpkyBj48PWrRoga5du+KHH3545dg0Gg1iY2PRuXNnODk5oWPHjvjuu+8A/DUlfNeuXRgyZAicnZ3xr3/9CwCwadMmdO/eHc7OzujWrRs2bNig1W9KSgr69u0LZ2dn9OvXT5pWXuTZ6eXHjh3D5MmT8fjxY2ms0dHRZR7Ls9PLn439888/R4sWLfDJJ58gLS0NKSkp6NevHxQKBUaOHIn79+9LfTw7vfx5OSAiIiIiooqPd7qrkPDwcFy9ehVNmjRBUFAQgKfF7pdffglfX1/Mnz8faWlpmDp1KqpVq4Zx48aVuE3t2rWh0WhQr149LFu2DDVr1kRiYiIiIiJgbW2NHj16lDm2RYsWYdOmTZg8eTLc3d1x+/ZtpKWlabWJioqCUqlEs2bNUK1aNfz6669YtmwZIiIi0KxZM5w/fx7Tpk2Dubk5fH19kZ2dja+++gqenp5YuHAhMjIyXjhFW6FQYMqUKVi+fDn27NkDADA3Ny/zWEoSHR2NKVOmwMbGBlOmTMHEiRNhYWGB8PBwmJmZITg4GMuWLUNkZGSxbZ+XAyIiIiIiqvhYdFchlpaWMDY2hqmpqTQFesmSJahXrx4iIiIgk8lgb2+PP//8E1FRURgzZkyJ2wCAoaGhVAACQIMGDZCUlIQ9e/aUueh+8uQJ4uLiEBERAV9fXwBAw4YNiz1bPWzYMHTp0kV6HR0dDaVSKS1r0KABLl++jI0bN8LX1xc7duyARqPBnDlzUK1aNTRp0gS3bt3C9OnTS4zDxMQElpaWkMlk5T7l3N/fH97e3gAAPz8/hISEYP369XB3dwcA9O/fH1u3bi1x2+flgIiIiIiIKj4W3VXclStXoFAoIJPJpGXu7u7IycnBrVu3YGNj89xtN2zYgC1btiAzMxP5+flQqVRo2rRpmWNITU1FQUEB2rRp88J2Tk5O0u85OTlIT09HeHg4pk2bJi0vLCyUnoe+cuUK5HI5qlWrJq1XKBRljq88yOVy6fc6deqUuOzZ6eVERERERPR2YNFNr2Tnzp2YP38+wsLCoFAoYGFhgTVr1iA5ObnMfT1bFL/Is1O9c3JyAAAzZ86Ei4uLVjsDg4r3UQXPfuhb0RscRkZGWss0Gs0bj4uIiIiIiHSLRXcVY2xsrFXc2dvbY+/evRBCSMXgqVOnYGFhgXr16pW4DQAkJCRAoVBg8ODB0rL09PRXiun999+Hqakpjh49igYNGpRqGysrK7z77ru4fv06+vTpU2Ibe3t7/POf/0R+fr5U2CclJb2wX2NjY6jV6jLF/yaUlAMiIiIiIqr4Kt4tQdIpW1tbJCcnIyMjA/fv38fnn3+OW7duYebMmbhy5Qr279+P6OhojBgxQrpj/PdtNBoN7OzscObMGRw6dAhpaWlYunQpTp8+/UoxVatWDV988QUWLlyI7du3Iz09HUlJSdi0adMLtwsKCsKqVasQFxeHtLQ0XLx4EVu2bMG6desAAL169YJMJsPUqVNx+fJlHDx4EGvXrn3p8cnJycGRI0dw//595ObmvtKYyltJOSAiIiIiooqPRXcV4+/vD0NDQ/Ts2RNt27aFSqXCqlWrkJKSgo8//hjTp09H//79ERgY+NxtMjMz8emnn6JLly6YMGECBg4ciIcPH+Lzzz9/5bhGjx6NESNGYPny5ejRowcmTJjw0mecBwwYgFmzZmHr1q3o3bs3hg4dim3btuG9994DAFhYWOD777/HpUuX0LdvXyxZsgSTJk16YZ9ubm749NNPERwcjLZt22L16tWvPKbyVFIOiIiIiIio4pMJIYS+gyAi3VCr1UhKSsJZ2b9wM+eyvsMholKoa/E+hitm6TuMclf075GrqysMDQ31HU6VxBxUDMyD/jEH+ve25KC04+CdbiIiIiIiIiId4Qepkc5lZmaiZ8+ez12/c+fOF341mT6dPHkSX3zxxXPXJyYmvsFoiIiIiIiosmHRTTr37rvvYvv27S9cX1E5OTm9MHYiIiIiIqIXYdFNOmdkZAQ7Ozt9h/FKTE1NK23sRERERESkf3ymm4iIiIiIiEhHWHQTERERERER6QiLbiIiIiIiIiIdYdFNREREREREpCMsuomIiIiIiIh0hEU3ERERERERkY6w6CYiIiIiIiLSERbdRERERERERDpipO8AiEj3apvXh0ZWqO8wiKgU6pjb6DsEIiIiKkcsuomqgO5NRsLQ0FDfYRBRKWmEBgYyTkYjIiJ6G/CKTlQFqNVqfYdQZanVapw7d4450LPKlgcW3ERERG8PXtWJiHQsNzdX3yEQmAciIiLSDxbdRERERERERDrCopuIiIiIiIhIR1h0ExEREREREekIi24iIiIiIiIiHWHRTURERERERKQjLLqJiIiIiIiIdIRFNxGRjpmZmek7BALzQERERPphpO8AiEj3DA0N9R1ClWVoaIjmzZvrO4wq703mQQg1ZDKec0RERPQUi26iKiApdR6y867oOwyit151Mzu4ffCNvsMgIiKiCoRFN1EVkJ2bjke5l/QdBhERERFRlcNnuomIiIiIiIh0hEU3ERERERERkY6w6CYiIiIiIiLSERbdRERERERERDrCopuIiIiIiIhIR1h0ExEREREREekIi24iIiIiIiIiHWHRTURERERERKQjLLqJiIiIiIiIdIRFNxEREREREZGOsOgmIiIiIiIi0hEW3UREREREREQ6wqK7DLZu3QoPD4+XtpPL5di/f3+57FOpVGL06NHl0ldpDB06FLNnz35j+9OnY8eOQS6XIysrS9+hEBERERHRW4pF93P4+Phg/fr1Wst69OiBvXv3Sq+jo6Px8ccfv+HIqraq9KbAs/gGARERERFR5WSk7wAqE1NTU5iamuo7jNcmhIBarYaRUfmnX61WQyaTwcBAf+/n6HJ8REREREREZaH3O90ajQYrV66Ej48PWrRogT59+mDPnj3S+qI7fIcOHULfvn3RokUL+Pn54d69ezh48CC6d+8ONzc3TJw4Ebm5udJ2Q4cOxYwZMzBjxgy4u7ujdevWWLp0KYQQL41p6NChuHHjBubOnQu5XA65XA5Ae3r51q1bERMTgwsXLkhttm7dWmJ/N2/exPjx4+Hh4YFWrVohMDAQGRkZZTpOMTExaNOmDdzc3BAREYGCggJpXUFBAWbNmoW2bdvC2dkZn332GVJSUoodw4MHD6Jfv35wdnbGqVOnkJOTg9DQUCgUCnh5eWHt2rXF9ltQUID58+fD29sbrq6uGDBgAI4dOyatLzomv/32G3r06AFnZ2dkZmYW66cohgMHDqB3795wdnbGwIEDcenSJanNgwcPEBISAm9vb7i4uKB3797YsWOHtF6pVOL48eOIi4uTjnlGRsZzx/ey41Ia69atQ+/eveHq6ooOHTpg+vTpyM7O1mrzyy+/oEOHDnBxccGYMWOwbt26Yo8h7N+/H76+vnB2dsaHH36ImJgYFBYWSuvlcjk2bdqEMWPGwMXFBV26dMFvv/0GAMjIyICfnx8AoGXLlpDL5VAqlWUaBxERERER6Yfei+6VK1di+/btiIyMxM6dOzF8+HB8/fXXOH78uFa7mJgYTJs2DT///DNu3bqF4OBgxMXFYdGiRVi1ahUOHz6M+Ph4rW22bdsGQ0NDbNq0CeHh4Vi/fj02bdr00piio6NRr149BAUF4fDhwzh8+HCxNj169IC/vz+aNGkitenRo0exdiqVCgEBAbCwsMCGDRvw008/wdzcHCNHjtQqnF/kyJEjuHLlCuLj47F48WLs27cPK1askNYvWLAAe/fuxbx587Bt2zbY2dlh5MiRePjwoVY/ixYtwsSJE7Fr1y7I5XIsWLAAJ06cwLfffos1a9bg+PHjOHv2rNY2M2bMQGJiIpYsWYJff/0V3bp1w8iRI3H16lWpTV5eHmJjYzFr1izs2LEDderUee5YFixYAKVSic2bN6N27doYNWoUVCoVgKcFvqOjI1atWoUdO3Zg4MCBCA0NlQrl8PBwKBQKDBw4UDrm9evXf+H4SnNcXkQmkyE8PBw7duzAvHnzcPToUSxcuFBaf+rUKXzzzTfw8/PD9u3b4enpie+//16rj5MnTyIsLAx+fn7YtWsXZsyYga1btxZrFxMTg+7du+PXX39F+/btMWnSJDx8+BD169dHdHQ0AGDPnj04fPgwwsPDSz0GIiIiIiLSH70W3QUFBVi5ciXmzJkDb29vNGjQAP369UOfPn2wceNGrbbBwcFwd3dH8+bN0b9/fxw/fhzTp09H8+bN4eHhga5du2rdgQWA+vXrY8qUKWjcuDH69OmDIUOGFHtOuyQ1a9aEoaEhLCwsYG1tDWtr62JtTE1NYW5uDkNDQ6lNSVPPd+3aBY1Gg9mzZ0Mul8Pe3h5z587FzZs3i72x8DwmJiaYM2cOmjRpgo4dOyIoKAhxcXHQaDTIycnBzz//jNDQUHTo0AEffPABZs6ciWrVqmHz5s1a/QQFBaFdu3Zo2LAhjI2NsXnzZoSGhqJt27aQy+WYN28e1Gq11D4zMxNbt27FsmXL4OHhgYYNGyIgIADu7u5ad/VVKhWmT58ONzc3NG7cGGZmZs8dy9ixY9GuXTtpf/fu3cO+ffsAAHXr1kVAQACaNWuGBg0aYOjQofD29sbu3bsBAJaWljA2Noapqal0zA0NDUscn4mJSamPy4sMHz4cbdq0wXvvvYe2bdsiODhYigcAfvzxR7Rv3x4BAQFo1KgRBg8eDG9vb60+YmJi8OWXX8LX1xcNGjRAu3btMH78ePz8889a7Xx9fdGrVy/Y2dkhJCQEOTk5SElJgaGhIWrUqAEAqFOnDqytrWFpaVnqMRARERERkf7o9aHXa9euITc3F/7+/lrLVSoVmjVrprWsaIo38LTwMDMzQ4MGDaRlVlZWOH36tNY2Li4ukMlk0mtXV1esW7cOarVaq1jTpQsXLiA9PR1ubm5ay/Pz85Genl6qPuRyuVYhq1AokJOTg5s3b+Lx48dQqVRa/RsbG6NFixa4cuWKVj/Ozs7S79evX4dKpYKLi4u0rGbNmmjUqJH0+tKlS1Cr1ejWrZtWPwUFBahZs6bW/p7Nz4u4uroW219qaiqAp8+Df//999izZw/+/PNPqFQqFBQUlPo5+mfHl56eXurj8iK///47Vq5cidTUVDx58gRqtRr5+fnIzc2FmZkZ0tLS8NFHH2lt06JFCxw4cEB6feHCBSQkJGjd2f57P4D237i5uTmqV6+O+/fvlzpWIiIiIiKqePRadOfk5AB4OsW8bt26WutMTEy0Xj/7oVgymazYh2TJZDJoNBodRfrqcnJy4OjoiKioqGLrateu/UZjedEd6JLk5OTA0NAQW7ZsKfYmhbm5ufS7qamp1psbr2rNmjWIi4vDlClTpDca5syZI00/f5myju9lMjIy8NVXX+Gzzz7DhAkTUKNGDZw6dQrh4eFQqVSl3l9OTg7GjRuHLl26FFtXrVo16XdjY2OtdRX1b5qIiIiIiEpPr0W3vb09TExMkJmZiVatWpV7/3//0Kzk5GTY2dmV6i63sbHxSwue0rRxdHTE7t27UadOHVSvXv3lQZfg4sWLyMvLk+74JiUlwdzcHPXr10etWrVgbGyMhIQE2NraAng6U+D06dMYNmzYc/ts0KABjI2NkZycDBsbGwDAo0ePcPXqVbRs2RIA0KxZM6jVaty/f79U309eGklJScX217hxYwBAQkICPvzwQ+lr2DQaDa5evQp7e3tp+9IccwDSFPqyHpdnnT17FkIIKJVK6dPYn51aDgCNGjXCmTNntJb9fcZF8+bNkZaWBjs7u1LttyRFBfmz0/+JiIiIiKji02vRXb16dfj7+2Pu3LkQQsDd3R2PHz9GQkICqlevDl9f39fqPzMzE3PnzsWgQYNw7tw5/PjjjwgLCyvVtra2tjhx4gR69uwJY2PjEu9K29raIiMjA+fPn0fdunVRvXr1Ynfoe/fujTVr1iAwMBDjx49H3bp1kZmZiX379mHkyJGoV6/eS2MpKChAeHg4AgMDcePGDURHR2PIkCEwMDCAubk5PvvsMyxYsAA1atSAjY0NVq9ejby8PPTv3/+5fVpYWOCTTz7BwoULUbNmTdSpUwdLlizRumPdqFEj9O7dG6GhoVAqlWjWrBkePHiAI0eOQC6Xo2PHjqU6ls/69ttvUatWLWl/tWrVkqZn29nZYe/evUhISECNGjWwbt063L17V6votrW1RXJyMjIyMmBubq41zf1Zr3pcnmVnZweVSoX4+Hj4+Pjg1KlTxZ7DHjJkCIYMGYJ169ahU6dOOHr0KP773/9qHccxY8Zg1KhRsLGxQdeuXWFgYIALFy7g0qVLmDBhQqlisbW1hUwmw4EDB9ChQwdUq1YNFhYWpdqWiIiIiIj0R+9fZBwcHIzatWtj5cqVyMjIgKWlJZo3b45Ro0a9dt99+/ZFXl4eBgwYAENDQ/j5+WHQoEGl2jYoKAgRERH46KOPUFBQgIsXLxZr07VrV+zbtw9+fn7IysrC3Llz0a9fP602ZmZm+PHHHxEVFYWxY8ciOzsbdevWRdu2bUt957tt27aws7PD4MGDUVBQgF69emHcuHHS+kmTJkEIgdDQUGRnZ8PJyQmrV6+WPnzreUJDQ5GTk4PAwEBYWFhgxIgRePLkiVabuXPn4rvvvsO8efNw+/Zt1KxZE66urq9UcAPAxIkTMXv2bFy9ehXNmjXDd999J71RERgYiOvXryMgIABmZmYYOHAgPvroIzx+/Fja3t/fH0qlEj179kReXp70tVoledXjUqRp06aYPHkyYmNjsXjxYnh4eCAkJETrjRt3d3dERkYiJiYGS5cuhZeXF4YPH44NGzZIbby9vfH9999jxYoViI2NhZGRERo3bowBAwaU+rjVrVsX48aNw6JFizB58mT07dsX8+bNK/X2RERERESkHzJRmi+uroSGDh2Kpk2b8quVKohjx47Bz88PJ06cwDvvvKPvcHRq6tSpSE1NxT/+8Q99hwK1Wo2kpCRkG6/Co9yzL9+AiF5LDXMHtHdeq+8wKqSif49cXV3f2IeZkjbmoGJgHvSPOdC/tyUHpR2H3r+nm6iyW7NmDS5cuIBr164hPj4e27dvf+1HI4iIiIiI6O2g9+nl+nDy5El88cUXz12fmJj4xmJRKBTPXRcbG1tuH2BGupOSkoLVq1cjOzsbDRo0QHh4eJmmjhMRERER0dvrrS264+Pjn7vOyckJ27dvf3PBvMCL4vj716hVZq1bty7xufi3wbJly/QdAhERERERVVBvbdH9Iqampq/19U3lqaLEQUREREREROWPz3QTERERERER6QiLbiIiIiIiIiIdYdFNREREREREpCMsuomIiIiIiIh0hEU3ERERERERkY6w6CYiIiIiIiLSERbdRERERERERDrCopuIiIiIiIhIR1h0ExEREREREemIkb4DICLdszBrCMhU+g6D6K1X3cxO3yEQERFRBcOim6gKcG2shKGhob7DIKoShFBDJuP5RkRERE9xejlRFaBWq/UdQpWlVqtx7tw55kDP3mQeWHATERHRs1h0ExHpWG5urr5DIDAPREREpB8suomIiIiIiIh0hM90E73FhBAAnk6t5fRm/Sg67jz++sU86B9zoH/MQcXAPOgfc6B/b0sOiuIv+j/388jEy1oQUaVVUFCA06dP6zsMIiIiIqK3lrOzM0xMTJ67nkU30VtMo9GgsLAQBgYGkMlk+g6HiIiIiOitIYSARqOBkZERDAye/+Q2i24iIiIiIiIiHeEHqRERERERERHpCItuIiIiIiIiIh1h0U1ERERERESkIyy6iYiIiIiIiHSERTcRERERERGRjrDoJiIiIiIiItIRFt1EREREREREOsKim6gC27BhA3x8fODs7IwBAwYgJSXlhe13796Nbt26wdnZGb1798bBgwe11gshsGzZMnh5eaFFixYYPnw4rl69qtXm4cOHmDhxItzc3ODh4YEpU6YgOzu7vIdWaegjBz4+PpDL5Vo/q1atKu+hVSrlnYd///vf8Pf3R+vWrSGXy3H+/PlifeTn5yMyMhKtW7eGQqHAuHHjcPfu3XIdV2WijxwMHTq02LkQERFRruOqTMozByqVCgsXLkTv3r3h6uoKLy8vhIaG4s8//9Tqg9eE4vSRB14XtJX3v0fR0dHo1q0bXF1d0bJlSwwfPhzJyclabXguaNNHDir1eSCIqELauXOncHR0FJs3bxZ//PGHmDp1qvDw8BB3794tsf2pU6dEs2bNRGxsrLh8+bJYsmSJcHR0FBcvXpTarFy5Uri7u4t9+/aJ8+fPi1GjRgkfHx+Rl5cntQkICBB9+vQRSUlJ4sSJE6Jz584iJCRE5+OtiPSVg06dOomYmBhx+/Zt6Sc7O1vn462odJGHbdu2iejoaPHLL78IBwcHce7cuWL9REREiA4dOojff/9dnD59WgwcOFAMGjRIZ+OsyPSVgyFDhoipU6dqnQuPHz/W2TgrsvLOQVZWlhg+fLjYuXOnuHLlikhMTBT9+/cXvr6+Wv3wmqBNX3ngdeEvuvj36NdffxX/+9//RHp6urh06ZKYMmWKcHNzE/fu3ZPa8Fz4i75yUJnPAxbdRBVU//79RWRkpPRarVYLLy8vsXLlyhLbjx8/Xnz55ZdaywYMGCCmTZsmhBBCo9GIdu3aidWrV0vrs7KyhJOTk9ixY4cQQojLly8LBwcHkZKSIrU5ePCgkMvl4tatW+U2tspCHzkQ4ulFZd26deU4ksqtvPPwrOvXr5dY8GVlZQlHR0exe/duaVnR+ZGYmPgao6mc9JEDIZ4W3bNmzXrN6N8OusxBkeTkZOHg4CBu3LghhOA1oST6yIMQvC48603k4PHjx8LBwUH8/vvvQgieC3+njxwIUbnPA04vJ6qACgoKcPbsWXh6ekrLDAwM4OnpicTExBK3SUpKQtu2bbWWeXl5ISkpCQCQkZGBO3fuaPVpaWkJFxcXqc/ExES88847cHZ2ltp4enrCwMDgpdOG3jb6ykGR2NhYtG7dGn379sXq1atRWFhYTiOrXHSRh9I4c+YMVCqV1n7t7e1hY2NTpn7eBvrKQZF//etfaN26NXr16oVFixYhNze3zH1Udm8qB0+ePIFMJsM777wDgNeEv9NXHorwuvBmclBQUICNGzfC0tIScrkcAM+FZ+krB0Uq63lgpO8AiKi4Bw8eQK1Wo06dOlrL69Spg9TU1BK3uXv3LqysrIq1L3oG9c6dO9Ky57W5e/cuateurbXeyMgINWrUkLavKvSVA+Dpc6zNmzdHjRo1kJiYiMWLF+POnTuYPHnya4+rstFFHkrj7t27MDY2Lvaf3jp16vBc+P90nQMA6NWrF2xsbPDuu+/i4sWLiIqKQlpaGmJiYso2iEruTeQgPz8fUVFR6NmzJ6pXry71wWvCX/SVB4DXhSK6zMF//vMfhISEIDc3F9bW1li7dq30989z4S/6ygFQuc8DFt1ERBXMiBEjpN+bNm0KY2NjfPPNN5g4cSJMTEz0GBnRmzVo0CDpd7lcDmtrawwfPhzp6elo2LChHiN7u6hUKowfPx5CCERGRuo7nCrrRXngdUH3Wrduje3bt+PBgwf45ZdfEBwcjE2bNhUrLkl3XpaDynwecHo5UQVUq1YtGBoa4t69e1rL7927V+ydwiJWVlbF3jF8tr21tbW07HltrKyscP/+fa31hYWFePTokbR9VaGvHJTExcUFhYWFyMjIKPM4Kjtd5KE0rKysoFKpkJWVVawfngtP6ToHJXFxcQEAXLt27bX6qWx0mQOVSoXg4GBkZmZi7dq1WndXeU3Qpq88lKSqXhd0mQNzc3PY2dnB1dUVc+bMgZGRETZv3iz1wXPhKX3loCSV6Txg0U1UAZmYmMDR0RFHjhyRlmk0Ghw5cgQKhaLEbVxdXXH06FGtZb///jtcXV0BAO+99x6sra21+nzy5AmSk5OlPhUKBbKysnDmzBmpzdGjR6HRaNCiRYvyGl6loK8clOT8+fMwMDCoku+26yIPpeHk5ARjY2Ot/aampiIzM7NM/bwN9JWDkhR9rVhV+0+urnJQVOhdu3YN69evR61atbTa85qgTV95KElVvS68yX+PNBoNCgoKAPBceJa+clCSSnUe6PuT3IioZDt37hROTk5i69at4vLly2LatGnCw8ND3LlzRwghxNdffy2ioqKk9qdOnRLNmzcXa9asEZcvXxbLly8v8euqPDw8xP79+8WFCxdEYGBgiV8Z1rdvX5GcnCxOnjwpunTpUqW/EuNN5yAhIUGsW7dOnD9/XqSnp4t//vOfok2bNiI0NPTNDr4C0UUeHjx4IM6dOycOHDggHBwcxM6dO8W5c+fE7du3pTYRERGiY8eO4siRI+L06dNi0KBBVforw950Dq5duyZiYmLE6dOnxfXr18X+/fvFhx9+KAYPHvxmB19BlHcOCgoKxKhRo0T79u3F+fPntb6CJz8/X+qH1wRt+sgDrwvayjsH2dnZYtGiRSIxMVFkZGSI06dPC6VSKZycnMSlS5ekfngu/EUfOajs5wGLbqIKLD4+XnTs2FE4OjqK/v37i6SkJGndkCFDRFhYmFb7Xbt2iS5dughHR0fRs2dPceDAAa31Go1GLF26VHh6egonJycxbNgwkZqaqtXmwYMHIiQkRLi6ugo3NzehVCrFkydPdDfICu5N5+DMmTNiwIABwt3dXTg7O4vu3buL77//Xus/wVVReedhy5YtwsHBodjP8uXLpTZ5eXli+vTpomXLlsLFxUWMGTNGqyivat50DjIzM8XgwYNFq1athJOTk+jcubOYP39+lf2ebiHKNwdFX9VW0s/Ro0eldrwmFPem88DrQnHlmYO8vDwxZswY4eXlJRwdHUW7du3EqFGjRHJyslYfPBe0vekcVPbzQCaEEPq+205ERERERET0NuIz3UREREREREQ6wqKbiIiIiIiISEdYdBMRERERERHpCItuIiIiIiIiIh1h0U1ERERERESkIyy6iYiIiIiIiHSERTcRERERERGRjrDoJiIiIiIiItIRFt1ERERUaRw7dgxyuRxZWVkAgK1bt8LDw0On+1QqlRg9erRO90FERG8vFt1ERERVkFKphFwux6pVq7SW79+/H3K5XE9RlV2PHj2wd+9evcbw9zcCKqKhQ4di9uzZ+g6j1H755Rf06dMHCoUCHh4e6Nu3L1auXKnvsIiIXomRvgMgIiIi/ahWrRpiY2MxaNAg1KhRo9z6LSgogImJSbn19yKmpqYwNTV9I/uqjN5kLsrL5s2bMWfOHISHh6NVq1YoKCjAxYsX8ccff+hsn5XxOBFR5cE73URERFWUp6cnrKysXnoHce/evejZsyecnJzg4+ODtWvXaq338fHBihUrEBoaCjc3N0REREjTvv/zn/+ga9eucHFxQVBQEHJzc7Ft2zb4+PigZcuWmDVrFtRqtdTX9u3b0a9fPygUCrRr1w4TJ07EvXv3nhvb36eX+/j4QC6XF/spcvPmTYwfPx4eHh5o1aoVAgMDkZGRIa1Xq9WYO3cuPDw80Lp1ayxYsABCiFIf02djKuvYi45jSEgIXF1d4e3tjQ0bNmj1nZmZicDAQCgUCri5uWH8+PG4e/eutD46Ohoff/wxNm3aBB8fH7Ro0QJKpRLHjx9HXFycdDwyMjKgVqsxZcoUqV3Xrl3xww8/aO2vaGr9mjVr4OXlhdatWyMyMhIqlUpqU1BQgIULF6JDhw5wcnJC586dsWnTJmn9pUuXMHLkSCgUCnh6euLrr7/G/fv3n3v8/u///g/du3fHgAEDYGdnhyZNmqBXr16YMGGCVrvNmzdLf5deXl6YMWPGax0nAMjKykJ4eDjatGkDNzc3+Pn54cKFCy/MNxHRy/BONxERURVlYGCAkJAQTJw4EX5+fqhXr16xNmfOnEFwcDDGjh2LHj16IDExEZGRkahZsyb69esntVu7di3GjBmDsWPHAgBOnjyJvLw8xMfHY8mSJcjOzsbYsWMxduxYWFpaYtWqVbh+/TrGjRsHNzc39OjRAwBQWFiI8ePHo3Hjxrh37x7mzZsHpVKJ2NjYUo1p8+bNUiGr0WgQFBQEI6On/91RqVQICAiAq6srNmzYACMjI3z77bcYOXIkfv31V5iYmGDt2rXYtm0b5syZA3t7e6xduxb79u1DmzZtynRsX2XsALBmzRqMGjUK48aNw+HDhzF79my8//77aNeuHTQaDUaPHg1zc3PEx8dDrVYjMjISEyZMQHx8vNRHeno69u7di5iYGBgYGMDW1hZXr15FkyZNEBQUBACoXbs2NBoN6tWrh2XLlqFmzZpITExEREQErK2ttWI6duwYrK2t8cMPPyA9PR0TJkxAs2bNMHDgQABAaGgokpKSMHXqVDRt2hQZGRl48OABgKdF7LBhwzBgwABMnjwZ+fn5iIqKQnBwMOLi4ko8dlZWVjhx4gRu3LgBW1vbEtv84x//wLx58zBx4kS0b98ejx8/RkJCgpT3VzlOADB+/HhpBoilpSU2btyIYcOGYe/evahZs2aZ/gaIiCSCiIiIqpywsDARGBgohBBi4MCBYvLkyUIIIfbt2yccHBykdiEhIWLEiBFa286fP1/06NFDet2pUycxevRorTZbtmwRDg4O4tq1a9KyadOmCRcXF/HkyRNpmb+/v5g2bdpz40xJSREODg7SNkePHhUODg7i0aNH0n7c3d1L3HbmzJmiU6dO4t69e0IIIbZv3y66du0qNBqN1CY/P1+0aNFCHDp0SAghRLt27URsbKy0XqVSifbt20vHqiQlxfQqY+/UqZMICAjQ6js4OFiMHDlSCCHE4cOHRbNmzURmZqa0/o8//hAODg4iOTlZCCHE8uXLhaOjozTmIkOGDBGzZs167hiKREZGinHjxkmvw8LCRKdOnURhYaG0LCgoSAQHBwshhEhNTRUODg7if//7X4n9rVixQvj7+2stu3nzpnBwcBCpqaklbvPnn3+KgQMHCgcHB9GlSxcRFhYmdu7cKdRqtdTGy8tLLF68uMTtX/U4nThxQri5uYn8/Hyt/j766CPx888/l7gvIqLS4J1uIiKiKm7SpEkYNmwYAgICiq1LTU3Fhx9+qLXMzc0NcXFxUKvVMDQ0BAA4OTkV29bMzAwNGzaUXltZWcHW1hYWFhZay56danzmzBnExMTgwoULePTokTS1++bNm/jggw9KPaaNGzdiy5Yt+Omnn1C7dm0AwIULF5Ceng43Nzettvn5+UhPT8fjx49x584duLi4SOuMjIzg5ORU5inmrzJ2AHB1dS32umjK95UrV1CvXj3Ur19fWv/BBx/gnXfeQWpqqjRF2sbGRhrzy2zYsAFbtmxBZmYm8vPzoVKp0LRpU602H3zwgZRnALC2tsalS5cAAOfPn4ehoSFatmxZYv8XLlzAsWPHoFAoiq1LT09Ho0aNii1/9913sXHjRly6dAknTpxAYmIilEolNm/ejNWrV+PBgwe4ffs22rZtW+I+X/U4Xbx4ETk5OWjdurVWf3l5eUhPTy9xX0REpcGim4iIqIpr2bIlvLy8sGjRIq0p42VhZmZWbFnRtO4iMpmsxGUajQYAkJOTg4CAAHh5eSEqKgq1atXCzZs3ERAQoPUM8cscPXoUM2fOxOLFi7UKyJycHDg6OiIqKqrYNqUtUkurrGMvTyXloiQ7d+7E/PnzERYWBoVCAQsLC6xZswbJycla7UqKu+hNiJd9iF1OTg46deqESZMmFVtnbW39wm0dHBzg4OCAwYMH4+TJkxg8eDCOHz9e4hs8r+Lvxyk7OxvW1tZaU9CLWFpalss+iahqYtFNREREmDhxIvr27VvszmPjxo2lZ2WLJCQk4P3339e6+1keUlNT8fDhQ0yaNEm6S3nmzJky9XHt2jWMHz8eo0aNQpcuXbTWOTo6Yvfu3ahTpw6qV69e4vbW1tZITk6W7twWFhbi7NmzaN68+SuMqOz+XvAmJyfD3t4eAGBvb49bt27h5s2b0vG5fPkysrKypDbPY2xsXKzAT0hIgEKhwODBg6VlZb2j6+DgAI1GgxMnTsDT07PYekdHR+zduxe2trbFiveyKJrlkJubi+rVq8PW1hZHjhwp8Vn7Vz1Ojo6OuHv3LgwNDfHee++9cqxERH/HTy8nIiIiyOVy9O7du9hdPn9/fxw5cgQrVqxAWloatm3bhg0bNsDf37/cY7CxsYGxsTHi4+Nx/fp1/Pbbb/j2229LvX1eXh5GjRolfcjXnTt3pB8A6N27N2rVqoXAwECcPHkS169fx7FjxzBr1izcunULAODn54fY2Fjs378fV65cQWRk5Bv9/u2EhATExsYiLS0NGzZswJ49e+Dn5wfg6afNOzg4YNKkSTh79ixSUlIQGhqKVq1awdnZ+YX92traIjk5GRkZGbh//z40Gg3s7Oxw5swZHDp0CGlpaVi6dClOnz5dpnjfe+89+Pr6YsqUKdi/f790THft2gUA+Pzzz/Ho0SOEhIQgJSUF6enpOHToECZPnqz1ye3P+uabb7BixQqcOnUKN27cQFJSEsLCwlC7dm1p+v24ceOwbt06xMXF4erVqzh79qz0t/uqx8nT0xOurq4YM2YMDh8+jIyMDCQkJGDJkiVlPi5ERM/inW4iIiICAAQFBUnFUhFHR0csXboUy5cvx3fffQdra2sEBQW98jT0F6lduzbmzZuHxYsXIz4+Ho6OjggLC0NgYGCptr979y5SU1ORmpoKb29vrXUXL16EmZkZfvzxR0RFRWHs2LHIzs5G3bp10bZtW+nOt7+/P+7cuYOwsDAYGBjgk08+QefOnfH48eNyH29JRowYgTNnzmDFihWoXr06lEqlNBaZTIZvv/0WM2fOxJAhQyCTyeDt7Y1p06a9tF9/f38olUr07NkTeXl5+O233/Dpp5/i/PnzmDBhAmQyGXr27InPP/8c//3vf8sU8/Tp07F48WJMnz4dDx8+hI2NDb766isAQN26dfHTTz8hKioKAQEBKCgogI2NDby9vaVPDP87T09P6Xn8hw8folatWlAoFFi/fj1q1aoFAPD19UV+fj7Wr1+PBQsWoGbNmujWrdtrHSeZTIZVq1Zh6dKlmDx5Mh48eAArKyt4eHjAysqqTMeEiOhZMlHWTwYhIiIionLn4+MDPz8/DB8+XN+hEBFROeL0ciIiIiIiIiIdYdFNREREREREpCOcXk5ERERERESkI7zTTURERERERKQjLLqJiIiIiIiIdIRFNxEREREREZGOsOgmIiIiIiIi0hEW3UREREREREQ6wqKbiIiIiIiISEdYdBMRERERERHpCItuIiIiIiIiIh1h0U1ERERERESkI/8PlTi2jRqphmAAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# AUC scores for selection\n", "scores = {\n", " 'Baseline Logistic Regression': roc_auc_score(y_test, y_prob_lr_base),\n", " 'Baseline Gradient Boosting': roc_auc_score(y_test, y_prob_gb_base),\n", " 'Tuned Logistic Regression': roc_auc_score(y_test, y_prob_lr_tuned),\n", " 'Tuned Gradient Boosting': roc_auc_score(y_test, y_prob_gb_tuned)\n", "}\n", "\n", "# Determining Best model\n", "best_model_name = max(scores, key=scores.get)\n", "print(f\"Selected Model: '{best_model_name}' (ROC-AUC: {scores[best_model_name]:.4f})\")\n", "\n", "# Plotting features\n", "plt.figure(figsize=(10, 6))\n", "\n", "if \"Gradient Boosting\" in best_model_name:\n", " # GBDT Feature Importance\n", " model_obj = gb_baseline if \"Baseline\" in best_model_name else best_gb_tuned\n", " importances = model_obj.feature_importances_\n", " indices = np.argsort(importances)[::-1]\n", "\n", " sns.barplot(\n", " x=importances[indices][:10],\n", " y=np.array(all_feature_names)[indices][:10],\n", " palette='viridis'\n", " )\n", " plt.xlabel('Normalized Importance Score')\n", " plt.title(f'Top 10 Risk Drivers: {best_model_name} (Best Model)', fontsize=13, fontweight='bold')\n", "\n", "else:\n", " # Logistic Regression Coefficients\n", " model_obj = lr_baseline if \"Baseline\" in best_model_name else best_lr_tuned\n", " coefs = model_obj.coef_[0]\n", "\n", " # Absolute values of coefficients to identify strongest drivers\n", " abs_coef_indices = np.argsort(np.abs(coefs))[::-1]\n", "\n", " sns.barplot(\n", " x=coefs[abs_coef_indices][:10],\n", " y=np.array(all_feature_names)[abs_coef_indices][:10],\n", " palette='coolwarm'\n", " )\n", " plt.xlabel('Coefficient Value (Positive = Increases Risk of Default)')\n", " plt.title(f'Top 10 Log-Odds Drivers: {best_model_name} (Best Model)', fontsize=13, fontweight='bold')\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "source": [ "# **SHAP Analysis**" ], "metadata": { "id": "iZ0C_0fhBtO9" } }, { "cell_type": "code", "source": [ "# ============================================================\n", "# SHAP ANALYSIS FOR GRADIENT BOOSTING MODEL\n", "# ============================================================\n", "\n", "\n", "# !pip install shap\n", "\n", "import shap\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import numpy as np\n", "\n", "# ------------------------------------------------------------\n", "# 1. Create SHAP Explainer\n", "# ------------------------------------------------------------\n", "\n", "# Use your final/best Gradient Boosting model here\n", "# If your final model is named differently, replace gb_smote\n", "explainer = shap.TreeExplainer(gb_smote)\n", "\n", "# Calculate SHAP values for the test dataset\n", "shap_values = explainer.shap_values(X_test)\n", "\n", "# ------------------------------------------------------------\n", "# 2. SHAP Summary Plot\n", "# Shows global feature importance and direction of impact\n", "# ------------------------------------------------------------\n", "\n", "plt.figure(figsize=(10, 7))\n", "\n", "shap.summary_plot(\n", " shap_values,\n", " X_test,\n", " show=False\n", ")\n", "\n", "plt.title(\n", " \"SHAP Summary Plot for Gradient Boosting Model\",\n", " fontsize=14\n", ")\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "# ------------------------------------------------------------\n", "# 3. SHAP Global Feature Importance Bar Plot\n", "# ------------------------------------------------------------\n", "\n", "plt.figure(figsize=(10, 7))\n", "\n", "shap.summary_plot(\n", " shap_values,\n", " X_test,\n", " plot_type=\"bar\",\n", " show=False\n", ")\n", "\n", "plt.title(\n", " \"Global SHAP Feature Importance\",\n", " fontsize=14\n", ")\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "# ------------------------------------------------------------\n", "# 4. Calculate Mean Absolute SHAP Feature Importance\n", "# ------------------------------------------------------------\n", "\n", "# Convert X_test to DataFrame if necessary\n", "if not isinstance(X_test, pd.DataFrame):\n", " X_test_df = pd.DataFrame(\n", " X_test,\n", " columns=[\n", " f\"Feature_{i}\"\n", " for i in range(X_test.shape[1])\n", " ]\n", " )\n", "else:\n", " X_test_df = X_test.copy()\n", "\n", "# Calculate average absolute SHAP values\n", "mean_shap = np.abs(shap_values).mean(axis=0)\n", "\n", "shap_importance = pd.DataFrame({\n", " \"Feature\": X_test_df.columns,\n", " \"Mean_Absolute_SHAP\": mean_shap\n", "}).sort_values(\n", " by=\"Mean_Absolute_SHAP\",\n", " ascending=False\n", ")\n", "\n", "print(\"\\nTop 10 Features Based on SHAP Importance:\")\n", "print(shap_importance.head(10))\n", "\n", "\n", "# ------------------------------------------------------------\n", "# 5. SHAP Dependence Plot - Most Important Feature\n", "# ------------------------------------------------------------\n", "\n", "top_feature = shap_importance.iloc[0][\"Feature\"]\n", "\n", "print(\"\\nMost Important Feature:\", top_feature)\n", "\n", "shap.dependence_plot(\n", " top_feature,\n", " shap_values,\n", " X_test_df,\n", " show=False\n", ")\n", "\n", "plt.title(\n", " f\"SHAP Dependence Plot - {top_feature}\",\n", " fontsize=14\n", ")\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "# ------------------------------------------------------------\n", "# 6. SHAP Dependence Plots for Key Credit Risk Features\n", "# ------------------------------------------------------------\n", "\n", "# Change these names if your dataset uses different column names\n", "key_features = [\n", " \"int_rate\",\n", " \"inq_last_6mths\",\n", " \"total_acc\"\n", "]\n", "\n", "for feature in key_features:\n", "\n", " if feature in X_test_df.columns:\n", "\n", " shap.dependence_plot(\n", " feature,\n", " shap_values,\n", " X_test_df,\n", " show=False\n", " )\n", "\n", " plt.title(\n", " f\"SHAP Dependence Plot - {feature}\",\n", " fontsize=14\n", " )\n", "\n", " plt.tight_layout()\n", " plt.show()\n", "\n", " else:\n", " print(\n", " f\"Feature '{feature}' not found in X_test. \"\n", " f\"Check the actual column name.\"\n", " )\n", "\n", "\n", "# ------------------------------------------------------------\n", "# 7. Display Top 10 SHAP Features as a Table\n", "# ------------------------------------------------------------\n", "\n", "top_10_shap = shap_importance.head(10).reset_index(drop=True)\n", "\n", "print(\"\\nTop 10 SHAP Features:\")\n", "display(top_10_shap)" ], "metadata": { "id": "d7baCZwuBn5Y" }, "execution_count": null, "outputs": [] } ], "metadata": { "accelerator": "GPU", "colab": { "gpuType": "T4", "provenance": [] }, "kernelspec": { "display_name": "Python [conda env:base] *", "language": "python", "name": "conda-base-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 0 }