1_3_1_Customer_Segmentation_in_Retail.ipynb

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        "# <span style=\"color: #1E90FF;\">**1.3.1.  Customer Segmentation in Retail Project Overview**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**1. Introduction**</span>\n",
        "This project focuses on analyzing and segmenting customers based on their demographic and purchasing behaviors using the K-Means clustering algorithm. The dataset used is `Mall_Customers.csv`, which includes features such as Age, Annual Income, and Spending Score.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**2. Objectives**</span>\n",
        "- <span style=\"color: #FF6347;\">**Initial Dataset Inspection**</span>: Understand the structure of the dataset, check for missing values, duplicates, and summary statistics.\n",
        "- <span style=\"color: #FF6347;\">**Exploratory Data Analysis (EDA)**</span>: Visualize various aspects of the dataset using plots such as box plots, pie charts, violin plots, line graphs, histograms, and a correlation heatmap.\n",
        "- <span style=\"color: #FF6347;\">**Data Preprocessing**</span>: Clean the dataset by handling missing values, removing duplicates, and encoding categorical variables.\n",
        "- <span style=\"color: #FF6347;\">**Clustering and Evaluation**</span>: Perform K-Means clustering to segment customers and evaluate clustering performance using the silhouette score.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**3. Dataset Inspection**</span>\n",
        "- <span style=\"color: #FF6347;\">**Dataset Information**</span>: Display basic information about the dataset including column names and data types.\n",
        "- <span style=\"color: #FF6347;\">**Initial Rows**</span>: Show the first few rows to understand the data structure.\n",
        "- <span style=\"color: #FF6347;\">**Missing Values**</span>: Identify and count any missing values in the dataset.\n",
        "- <span style=\"color: #FF6347;\">**Duplicates**</span>: Check for and quantify any duplicate entries.\n",
        "- <span style=\"color: #FF6347;\">**Summary Statistics**</span>: Provide statistical summaries for numerical features.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**4. Exploratory Data Analysis (EDA)**</span>\n",
        "- <span style=\"color: #FF6347;\">**Box Plots**</span>: Analyze the distribution of Age, Annual Income, and Spending Score by Gender.\n",
        "- <span style=\"color: #FF6347;\">**Pie Charts**</span>: Visualize the distribution of Gender among customers.\n",
        "- <span style=\"color: #FF6347;\">**Violin Plots**</span>: Examine the distribution of Age and Annual Income by Gender.\n",
        "- <span style=\"color: #FF6347;\">**Line Graphs**</span>: Compare the mean values of Age, Annual Income, and Spending Score by Gender.\n",
        "- <span style=\"color: #FF6347;\">**Histograms**</span>: Assess the distribution of Age, Annual Income, and Spending Score.\n",
        "- <span style=\"color: #FF6347;\">**Correlation Heatmap**</span>: Show correlations between Age, Annual Income, and Spending Score.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**5. Data Preprocessing**</span>\n",
        "- <span style=\"color: #FF6347;\">**Missing Values**</span>: Fill any missing values using forward fill.\n",
        "- <span style=\"color: #FF6347;\">**Duplicates**</span>: Remove duplicate rows to ensure data integrity.\n",
        "- <span style=\"color: #FF6347;\">**Encoding**</span>: Convert categorical variables (e.g., Gender) to numerical values.\n",
        "- <span style=\"color: #FF6347;\">**Feature Scaling**</span>: Normalize features to ensure they contribute equally to clustering.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**6. Clustering and Evaluation**</span>\n",
        "- <span style=\"color: #FF6347;\">**Elbow Method**</span>: Determine the optimal number of clusters by plotting the WCSS values against the number of clusters.\n",
        "- <span style=\"color: #FF6347;\">**K-Means Clustering**</span>: Apply K-Means clustering with the optimal number of clusters and assign cluster labels to customers.\n",
        "- <span style=\"color: #FF6347;\">**Silhouette Score**</span>: Evaluate the clustering performance using the silhouette score.\n",
        "- <span style=\"color: #FF6347;\">**Cluster Visualization**</span>: Plot the clusters to visually assess the segmentation of customers based on Age and Annual Income.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**7. Conclusion**</span>\n",
        "Summarize the findings from the clustering analysis, including insights gained about customer segments and the effectiveness of the clustering approach.\n",
        "\n",
        "---\n",
        "\n",
        "**Note**: This overview summarizes the steps and objectives of the project. Detailed implementation is provided in the code section."
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        "# <span style=\"color: #1E90FF;\">**1. Importing Libraries**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**1.1 Purpose**</span>\n",
        "The purpose of this step is to import all necessary Python libraries required for data manipulation, analysis, visualization, and machine learning.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**1.2 Libraries**</span>\n",
        "- **Pandas**: For data manipulation and analysis.\n",
        "- **NumPy**: For numerical operations.\n",
        "- **Matplotlib**: For plotting graphs and visualizations.\n",
        "- **Seaborn**: For advanced statistical data visualization.\n",
        "- **Scikit-learn**: For machine learning algorithms and preprocessing.\n",
        "- **KMeans**: For clustering analysis.\n",
        "- **StandardScaler**: For feature scaling.\n",
        "- **Silhouette_score**: For evaluating clustering performance.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**1.3 Code Snippet**</span>\n",
        "```python\n",
        "import pandas as pd  # Import pandas for data manipulation and analysis\n",
        "import numpy as np  # Import numpy for numerical operations\n",
        "import matplotlib.pyplot as plt  # Import matplotlib for plotting graphs\n",
        "import seaborn as sns  # Import seaborn for advanced data visualization\n",
        "from sklearn.preprocessing import StandardScaler  # Import StandardScaler for feature scaling\n",
        "from sklearn.cluster import KMeans  # Import KMeans for clustering analysis\n",
        "from sklearn.metrics import silhouette_score  # Import silhouette_score for evaluating clustering performance"
      ],
      "metadata": {
        "id": "2diJeWuzu8Gg"
      }
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    {
      "cell_type": "code",
      "source": [
        "# Import necessary libraries"
      ],
      "metadata": {
        "id": "U_8bhJfcolCX"
      },
      "execution_count": 16,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import warnings"
      ],
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        "id": "znqxY2x5wpj5"
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      "execution_count": 54,
      "outputs": []
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      "cell_type": "code",
      "source": [
        "warnings.filterwarnings('ignore')  # Suppressings all warn"
      ],
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        "id": "G0Ek0YU8wusY"
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      "execution_count": 55,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "jehRcfHlwpna"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import pandas as pd  # Import pandas for data manipulation and analysis"
      ],
      "metadata": {
        "id": "ZFovCgqVo7pP"
      },
      "execution_count": 17,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt  # Import matplotlib for plotting graphs"
      ],
      "metadata": {
        "id": "bht-SGGvo7sN"
      },
      "execution_count": 18,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sns  # Import seaborn for advanced data visualization"
      ],
      "metadata": {
        "id": "Jobf1skeo7vb"
      },
      "execution_count": 19,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.preprocessing import StandardScaler, LabelEncoder  # Import scalers and encoders for preprocessing"
      ],
      "metadata": {
        "id": "nh7NPAgfo7zv"
      },
      "execution_count": 20,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import KMeans  # Import KMeans for clustering"
      ],
      "metadata": {
        "id": "E2DWeLLto723"
      },
      "execution_count": 21,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.metrics import silhouette_score  # Import silhouette score for evaluating clustering"
      ],
      "metadata": {
        "id": "pKJFq9Vtouub"
      },
      "execution_count": 22,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "from matplotlib.backends.backend_pdf import PdfPages  # Import PdfPages to save plots as a PDF"
      ],
      "metadata": {
        "id": "MnXuJaPToux4"
      },
      "execution_count": 23,
      "outputs": []
    },
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      "cell_type": "code",
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      "metadata": {
        "id": "XdGAs23Eou08"
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      "execution_count": null,
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      "cell_type": "code",
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      "cell_type": "code",
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      "source": [
        "# <span style=\"color: #1E90FF;\">**2. Load the Dataset and Initial Inspection**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**2.1 Purpose**</span>\n",
        "This step is aimed at loading the dataset, inspecting its structure, and understanding its initial characteristics. It includes checking for missing values, duplicates, and basic statistics.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**2.2 Operations**</span>\n",
        "- **Loading the Dataset**: Read the CSV file into a pandas DataFrame.\n",
        "- **Initial Inspection**: Display the structure, first few rows, and summary statistics of the dataset.\n",
        "- **Missing Values**: Check for any missing values in the dataset.\n",
        "- **Duplicates**: Identify any duplicate rows.\n",
        "- **Summary Statistics**: Provide basic statistics of the numerical columns."
      ],
      "metadata": {
        "id": "eGBCqUR0vHx5"
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    {
      "cell_type": "code",
      "source": [
        "# Load the Dataset and Initial Inspection"
      ],
      "metadata": {
        "id": "EKSm3FtAou-M"
      },
      "execution_count": 24,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "file_path = '/content/Mall_Customers.csv'  # Define the file path for the dataset"
      ],
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        "id": "uBI_WIlPovEM"
      },
      "execution_count": 25,
      "outputs": []
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      "cell_type": "code",
      "source": [
        "df = pd.read_csv(file_path)  # Load the dataset into a pandas DataFrame"
      ],
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        "id": "JdC0WFiUovHr"
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      "execution_count": 26,
      "outputs": []
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      "cell_type": "code",
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      "metadata": {
        "id": "-vHeoOmxovOB"
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      "cell_type": "code",
      "source": [
        "print(\"1. Dataset Information:\")  # Print a message indicating dataset information\n",
        "print(df.info())  # Display dataset information (e.g., column names and data types)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
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        "id": "GLL5uPDVovTb",
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          "text": [
            "1. Dataset Information:\n",
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 200 entries, 0 to 199\n",
            "Data columns (total 5 columns):\n",
            " #   Column                  Non-Null Count  Dtype \n",
            "---  ------                  --------------  ----- \n",
            " 0   CustomerID              200 non-null    int64 \n",
            " 1   Gender                  200 non-null    object\n",
            " 2   Age                     200 non-null    int64 \n",
            " 3   Annual Income (k$)      200 non-null    int64 \n",
            " 4   Spending Score (1-100)  200 non-null    int64 \n",
            "dtypes: int64(4), object(1)\n",
            "memory usage: 7.9+ KB\n",
            "None\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "aLq-GL_5ovWK"
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      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "muP0fPiqovbL"
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      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(\"\\n2. First Few Rows:\")  # Print a message indicating first few rows of the dataset\n",
        "print(df.head())  # Display the first few rows of the dataset"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nLnNjdkHoveT",
        "outputId": "8e2071c3-0730-49b7-9125-e5f3786e7212"
      },
      "execution_count": 28,
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          "text": [
            "\n",
            "2. First Few Rows:\n",
            "   CustomerID  Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
            "0           1    Male   19                  15                      39\n",
            "1           2    Male   21                  15                      81\n",
            "2           3  Female   20                  16                       6\n",
            "3           4  Female   23                  16                      77\n",
            "4           5  Female   31                  17                      40\n"
          ]
        }
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      "cell_type": "code",
      "source": [
        "print(\"\\n3. Missing Values in Each Column:\")  # Print a message indicating missing values\n",
        "print(df.isnull().sum())  # Show the count of missing values in each column"
      ],
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          "text": [
            "\n",
            "3. Missing Values in Each Column:\n",
            "CustomerID                0\n",
            "Gender                    0\n",
            "Age                       0\n",
            "Annual Income (k$)        0\n",
            "Spending Score (1-100)    0\n",
            "dtype: int64\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "h-_d6iivpxP8"
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      "cell_type": "code",
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      "metadata": {
        "id": "CM29zYmqpxTi"
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    },
    {
      "cell_type": "code",
      "source": [
        "print(\"\\n4. Duplicates in Dataset:\")  # Print a message indicating duplicates in the dataset\n",
        "print(df.duplicated().sum())  # Show the number of duplicate rows in the dataset"
      ],
      "metadata": {
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        "id": "urgbkYSQpxZK",
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      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "4. Duplicates in Dataset:\n",
            "0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "uYvDWTBop2lm"
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      "execution_count": null,
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      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "VO_vNLDwp2om"
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      "execution_count": null,
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    },
    {
      "cell_type": "code",
      "source": [
        "print(\"\\n5. Summary Statistics:\")  # Print a message indicating summary statistics\n",
        "print(df.describe())  # Display summary statistics for numerical columns in the dataset"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NiMQ18vOp2sF",
        "outputId": "52bb9c15-e530-4434-9d99-a258e5c27a43"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "5. Summary Statistics:\n",
            "       CustomerID         Age  Annual Income (k$)  Spending Score (1-100)\n",
            "count  200.000000  200.000000          200.000000              200.000000\n",
            "mean   100.500000   38.850000           60.560000               50.200000\n",
            "std     57.879185   13.969007           26.264721               25.823522\n",
            "min      1.000000   18.000000           15.000000                1.000000\n",
            "25%     50.750000   28.750000           41.500000               34.750000\n",
            "50%    100.500000   36.000000           61.500000               50.000000\n",
            "75%    150.250000   49.000000           78.000000               73.000000\n",
            "max    200.000000   70.000000          137.000000               99.000000\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "pgb7ik_ep2uo"
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      "execution_count": null,
      "outputs": []
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    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "mPS7tZS2p2xz"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "_YwmDLw7p21E"
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    {
      "cell_type": "markdown",
      "source": [
        "# <span style=\"color: #1E90FF;\">**3. Exploratory Data Analysis (EDA)**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**3.1 Purpose**</span>\n",
        "EDA involves visualizing data to identify patterns, relationships, and anomalies. This step includes generating various plots to better understand the dataset.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**3.2 Visualizations**</span>\n",
        "- **Box Plots**: To visualize the distribution and identify outliers in features by categories.\n",
        "- **Pie Charts**: To display the distribution of categorical variables.\n",
        "- **Violin Plots**: To show the distribution and density of features by categories.\n",
        "- **Line Graphs**: To compare the mean values of features across categories.\n",
        "- **Histograms**: To visualize the distribution of numerical features.\n",
        "- **Correlation Heatmap**: To show the correlation between different numerical features."
      ],
      "metadata": {
        "id": "nQPmfpVVvQlY"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Exploratory Data Analysis (EDA)"
      ],
      "metadata": {
        "id": "mfCSwfBgp23k"
      },
      "execution_count": 32,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Create a PDF to save plots"
      ],
      "metadata": {
        "id": "vXj4QkXgp267"
      },
      "execution_count": 33,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "pdf_pages = PdfPages('/content/EDA_Plots.pdf')  # Initialize PdfPages to save plots to a PDF file"
      ],
      "metadata": {
        "id": "0LQv-alXovhb"
      },
      "execution_count": 34,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "_rIDe23CovkH"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Box Plots"
      ],
      "metadata": {
        "id": "ja3eM5sIovmo"
      },
      "execution_count": 35,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(16, 12))  # Create a new figure for box plots with specified size\n",
        "plt.subplot(2, 3, 1)  # Create the first subplot for box plots\n",
        "sns.boxplot(x='Gender', y='Age', data=df)  # Create a box plot of Age by Gender\n",
        "plt.title('Box Plot of Age by Gender')  # Set the title of the plot\n",
        "plt.subplot(2, 3, 2)  # Create the second subplot for box plots\n",
        "sns.boxplot(x='Gender', y='Annual Income (k$)', data=df)  # Create a box plot of Annual Income by Gender\n",
        "plt.title('Box Plot of Annual Income by Gender')  # Set the title of the plot\n",
        "plt.subplot(2, 3, 3)  # Create the third subplot for box plots\n",
        "sns.boxplot(x='Gender', y='Spending Score (1-100)', data=df)  # Create a box plot of Spending Score by Gender\n",
        "plt.title('Box Plot of Spending Score by Gender')  # Set the title of the plot\n",
        "plt.show()  # Display the plots"
      ],
      "metadata": {
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          "height": 381
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        "id": "QGrEyqXnov1U",
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      },
      "execution_count": 56,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1200 with 3 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "ndAIh3arqPgU"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "7Aqu1ZTrqPkE"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Pie Charts"
      ],
      "metadata": {
        "id": "WhDI3oFHqPoA"
      },
      "execution_count": 39,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(16, 12))\n",
        "plt.subplot(2, 3, 4)  # Create the fourth subplot for pie charts\n",
        "df['Gender'].value_counts().plot(kind='pie', autopct='%1.1f%%', colors=sns.color_palette('viridis', 2))  # Create a pie chart of Gender distribution\n",
        "plt.title('Pie Chart of Gender Distribution')  # Set the title of the plot\n",
        "plt.show()  # Display the plots"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 424
        },
        "id": "VElLiohrqPqO",
        "outputId": "b2d2aca4-9824-478a-8085-6d232014b8b6"
      },
      "execution_count": 57,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1200 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "5YIdBbdiqPt2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "jlLredeEqPwN"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Violin Plots"
      ],
      "metadata": {
        "id": "HTH_tarzov4Y"
      },
      "execution_count": 40,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(16, 12))\n",
        "plt.subplot(2, 3, 5)  # Create the fifth subplot for violin plots\n",
        "sns.violinplot(x='Gender', y='Age', data=df)  # Create a violin plot of Age by Gender\n",
        "plt.title('Violin Plot of Age by Gender')  # Set the title of the plot\n",
        "plt.subplot(2, 3, 6)  # Create the sixth subplot for violin plots\n",
        "sns.violinplot(x='Gender', y='Annual Income (k$)', data=df)  # Create a violin plot of Annual Income by Gender\n",
        "plt.title('Violin Plot of Annual Income by Gender')  # Set the title of the plot\n",
        "plt.tight_layout()  # Adjust the layout to prevent overlap of subplots\n",
        "pdf_pages.savefig()  # Save the current figure to the PDF file\n",
        "plt.show()  # Display the plots"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 561
        },
        "id": "BhEPve2oov7k",
        "outputId": "9c2c6305-7016-4ab6-acf7-219f3c2fe168"
      },
      "execution_count": 58,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1200 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "yRewHOgZov-g"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "7Lv7rTJFowEE"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Line Graphs"
      ],
      "metadata": {
        "id": "yZiwuSTEowGu"
      },
      "execution_count": 42,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(12, 6))  # Create a new figure for line graphs with specified size\n",
        "plt.plot(df.groupby('Gender')['Age'].mean(), marker='o', label='Age')  # Plot the mean Age by Gender\n",
        "plt.plot(df.groupby('Gender')['Annual Income (k$)'].mean(), marker='o', label='Annual Income')  # Plot the mean Annual Income by Gender\n",
        "plt.plot(df.groupby('Gender')['Spending Score (1-100)'].mean(), marker='o', label='Spending Score')  # Plot the mean Spending Score by Gender\n",
        "plt.title('Line Graph of Features by Gender')  # Set the title of the plot\n",
        "plt.xlabel('Gender')  # Set the x-axis label\n",
        "plt.ylabel('Mean Value')  # Set the y-axis label\n",
        "plt.legend()  # Show the legend for the plot\n",
        "pdf_pages.savefig()  # Save the current figure to the PDF file\n",
        "plt.show()  # Display the plots"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 534
        },
        "id": "Hwouq_u2owJt",
        "outputId": "482fbd96-6b36-4d8c-f722-e900e1eb3666"
      },
      "execution_count": 43,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x600 with 1 Axes>"
            ],
            "image/png": 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RZYh86623dNZZZ2nBggU+7RkZGWrcuLH3daDQLZX00GZkZFRo/+2334LquW7btq0kKTY2tsp6pZIh/+PHj9f48eOVnp6ulJQU3X///UEF8q1bt/r08m7btk0ej8fn79tms+nKK69UamqqHnroIS1ZskRjx46t8hdUvXv3VlxcnBYtWqSpU6cGtZVb27ZtZRiGWrdu7R2dcbiSk5O1adMmGYbh8/dW/uewup87AODwMYccABBSw4cPl9vt1n333VfhWHFxsd+gVtZdd90lt9utkSNH+h26Xp2ev9LAVPaawsJCPf30037PLy4u1vz5833OnT9/vhISEnTKKacE/dzK6jn33HP17rvv+gyJ3rt3r1577TX16tVLsbGxh/2c8po0aaJ+/fpp/vz52r17d4XjpXuel9ZY/jN+8803vXPMS5X+0sLf32fbtm31zTffqLCw0Nv2/vvvV9i2K5BTTjlFbdu21SOPPOL3Z6C0XrfbXWHaQZMmTdSsWbOAW3qV969//cvn9VNPPSVJFcL8VVddpYMHD+r6669XTk5OUPu9R0ZG6o477tCmTZt05513+v3ZLd92ySWXyGazaebMmRWOGYbhnWteHeeff7527dqlt956y9uWl5en5557zue8YD93AEDo0EMOAPXUCy+8oI8//rhC+6233npY9+3bt6+uv/56zZ49W+vXr9e5554rh8OhrVu36s0339QTTzzhs7hUeb1799a8efN08803q127dhoxYoQ6duyowsJC/fLLL3r11VcVFhamxMTEKmvp2bOnGjRooNGjR+uWW26RxWLRyy+/HDDUN2vWTA899JB27Nih9u3b6z//+Y/Wr1+v5557LuBWbdU1a9YsffLJJ+rVq5fGjx8vu92u+fPny+Vy+d0/OlT+9a9/qVevXjrxxBM1duxYtWnTRnv37tWqVav0xx9/ePcZv+CCC3TvvfdqzJgx6tmzpzZu3KhXX321Qs9227ZtFR8fr2effVYxMTGKiopSjx491Lp1a1133XV66623NGjQIA0fPlxpaWl65ZVXvD2wVbFarfr3v/+t8847T507d9aYMWPUvHlz/fnnn1q+fLliY2P13//+V9nZ2TruuON06aWX6qSTTlJ0dLSWLVumNWvWaO7cuUE9a/v27brwwgs1aNAgrVq1Sq+88oquvPLKCnuPd+vWTV26dNGbb76pE044Iagt1STpzjvv1E8//aSHH35YS5cu1bBhw3Tcccfp4MGDWrdund588001adJE4eHh3s911qxZmjp1qnbs2KGhQ4cqJiZG27dv1zvvvKN//OMfftdQqMzYsWM1b948jRo1SmvXrlVSUpJefvllRUZG+pwX7OcOAAghE1Z2BwCYqHTbs0Bfv//+e8Btz6Kioircr3T7o/Kee+4545RTTjEiIiKMmJgY48QTTzTuuOMOY9euXUHV+f333xujRo0yWrZsaYSFhRlRUVFG165djdtuu83Ytm2bz7l9+/Y1Onfu7Pc+K1euNE4//XQjIiLCaNasmXHHHXcY//vf/3y2eyp7j++++84444wzjPDwcCM5OdmYN2+ez/1Kt+p68803fdr9fWaBrFu3zhg4cKARHR1tREZGGmeddZbx9ddf+71fdbY9q+rctLQ0Y9SoUUZiYqLhcDiM5s2bGxdccIHx1ltvec8pKCgwbrvtNiMpKcmIiIgwzjzzTGPVqlUVtiwzDMN49913jU6dOhl2u73Ce587d67RvHlzw+l0Gmeeeabx3XffBdz2rPxnWer77783LrnkEqNRo0aG0+k0kpOTjeHDhxuffvqpYRglW3zdfvvtxkknnWTExMQYUVFRxkknnWQ8/fTTVX5mpT+3mzdvNi699FIjJibGaNCggXHTTTcZ+fn5fq+ZM2eOIcl44IEHqrx/ee+8845x/vnnGwkJCYbdbjfi4+ONXr16GQ8//LCRkZFR4fy3337b6NWrlxEVFWVERUUZHTt2NG688UZjy5Yt3nMC/dyPHj3aSE5O9mn77bffjAsvvNCIjIw0GjdubNx6663erQjL/nNgGFV/7oZx6PPbt29ftT8LAMAhFsM4ClefAQDgCOvXr5/++usvvwvKAZL0xBNPaOLEidqxY0eFVfYBAKgJ5pADAABUwTAMLViwQH379iWMAwBChjnkAAAAAeTm5uq9997T8uXLtXHjRr377rtmlwQAOIYQyAEAAALYt2+frrzySsXHx+uf//ynLrzwQrNLAgAcQ5hDDgAAAACACZhDDgAAAACACQjkAAAAAACY4JifQ+7xeLRr1y7FxMTIYrGYXQ4AAAAA4BhnGIays7PVrFkzWa2B+8GP+UC+a9cutWjRwuwyAAAAAAD1zO+//67jjjsu4PFjPpDHxMRIKvkgYmNjTa4GAAAAAHCsy8rKUosWLbx5NJBjPpCXDlOPjY0lkAMAAAAAjpiqpk2zqBsAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACawm10AAAAAAABV8ril376WcvZK0U2l5J6S1WZ2VYeFQA4AAAAAOLptfk/6eIqUtetQW2wzadBDUqcLzavrMDFkHQAAAABw9Nr8nvTGKN8wLklZu0vaN79nTl0hQCAHAAAAABx93MVSzj7pw8mSDD8n/N328Z0lw9nrIIasAwAAAABCr6hAcmVJBZl/f2VIBWVe+xzz016YE8RDDCnrz5K55a171/Y7CjkCOQAAAADAl2GUBOKAATqj6nDtdh25enP2HrlnhRCBHAAAAACONR53cL3Q/r5cWSXnGiEaBu6Mk8LjpPDYv/+Mk5xlvg/YHi/t+UF6eWjVz4huGppajzACOQAAAAAcbYpd5UJ0RjXCdZZUmB2aOqz2SkJ0fNXh2hlzeFuTte5Tspp61m75n0duKTme3LPmzzARgRwAAAAAQskwpMJc/0G5ICO4nuvigtDUYo+oohe6inDtiJQsltDUUhNWW8nWZm+MkmSRbyj/u65BD9bZ/cgJ5AAAAABQlsd9aNh2Zb3QlfVch2y4d2zlvdBV9Vzbw0JTh5k6XSgNfynAPuQP1ul9yAnkAAAAAI4txYVlQnRGcEO8yx5zZYWmDostwFDu8r3TAcL14Q73PpZ0ulDqOLhkNfWcvSVzxpN71vnPh0AOAAAA4OhhGFJRXoAQnRFcuC7OD00t9vAgFyGL9x+uzR7ufayx2urk1maVIZADAAAACB2P51Avc2W90JWFa09xaGoJiwliJe9Keq7tztDUAQRAIAcAAABwSHFhxTBdZbgu0+7Kkv/VsKvJYg28FVaw22fV8eHMOPYRyAEAAIBjhWFIRfmV7zNdVbguygtNLTZnEL3T5b7KHguLYrg3jnkEcgAAAOBo4fGU7B9d5TzpSsK1pyg0tYRFBzl/2k/PtTNWcoSHpg7gGEYgBwAAAELFXfT3sO0APdCV7j/99+tQDfcO1BMdTLh2xko2ogJQ2/inDAAAAJBKhnsXFwQIykHOny7KDU0ttrBKhnjHHuqRDhSuw6IZ7g3UAQRyAAAAHBs8HqkwJ4he6ErCtbswNLU4ooKcPx0gXDPcG6gXCOQAAAA4OriL/c+VDhiuy26dlSm5siXDE4JCLJVvhVXp8O94yRkj2RwhqAPAsY5ADgAAgNAoKigXoDOqMX86q6R3OxSsjgC90KUBOr7ycB0WLVmtoakFACpBIAcAAEDJ/OnS4d5+50hnVB2u3a7Q1OKIrMYiZPEV2+3hzJ8GUCcQyAEAAI4FHneQQ7z9bJ1VeixUw70DBeigwnUsw70B1BsEcgAAgKNBsatcgM6oRrjOKtm7OhSs9koCdBDbZ4XFMNwbAIJEIAcAADhchiEV5gYI0BnB9VwXF4SmFkdkcPtMBwrXjgiGewPAEUIgBwAA8LjLhOVKeqEr67k23KGpxVlZiK4iXDtjJXtYaOoAANQ6AjkAAKj7igsD7DNdVbj++yuUw72D3WfaX7h2xkhWW2hqAQAc9QjkAADAXIYhFeX5D8rBhuvi/NDUYo+oohe6inDtiGS4NwAgaARyAABweDyeQwG5sl7oysK1pzg0tThja7DCd/zf7bGS3RmaOgAACAKBHACA+q640P92WJWG67KBOluScfh1WGzB7zPtL1w7YxnuDQCoUwjkAADUZYYhFeVXvc90ZeE6ZMO9w4NchCzef7gOi2K4NwCgXiGQAwBgJo+nZEGxqnqhKwvXnqLQ1BIWE+QQbz89185YyREemjoAAKgnCOQAABwOd9GhvaaDHeJdfv50SIZ7W4PfZ9pfuHbGSjb+twAAgCOJ//ICAOovw5CKC/zvMx1suC7KC00ttrCKQ7krBOj4wMfCohnuDQBAHUMgBwDUXR6PVJhTRS90RuXhOmTDvaODnD8dIFwz3BsAgHqHQA4AMI+7+O+wnFGNId5lz8mWDM/h12GxlgnMZcJyUOE6juHeAACgRvi/BwBAzRUVlAvQGf7nSPssSlZ2uHduaOqwOqSIeD/zp8uG6EDtfw/3tlpDUwsAAECQCOQAUF8Zhu9w7wohOqPqcO0uDE0tjqiqe6ErC9f2cOZPAwCAOodADgB1lXe4dxCreAfaOisUw71lORSWA/VCBxz+HS85YySbIwR1AAAA1C0EcgAwS7GrXIDOqHqId9ljhTmhqcPqqGKedHzl4Zrh3gAAADVieiD/888/NWXKFH300UfKy8vT8ccfr4ULF+rUU0+VJBmGobvvvlvPP/+8MjIydOaZZ+qZZ55Ru3btTK4cQL1mGFJhbnC90IHCtdsVmlockcHtMx0oXDPcGwAAwBSmBvKDBw/qzDPP1FlnnaWPPvpICQkJ2rp1qxo0aOA9Z86cOXryySf14osvqnXr1poxY4YGDhyozZs3KzycLWIA1JDHHeQQ70A911mS4Q5BIZZyq3tXNcTbT7hmuDcAAECdZDEMwzDr4XfeeadWrlypL7/80u9xwzDUrFkz3XbbbZo8ebIkKTMzU02bNlVqaqouv/zyCte4XC65XId6nbKystSiRQtlZmYqNja2dt4IgCOv2HUoRLvK90wHMa+6MDs0dVjtwe8z7S9ch8Uw3BsAAOAYk5WVpbi4uCpzqKk95O+9954GDhyoyy67TJ9//rmaN2+u8ePHa+zYsZKk7du3a8+ePRowYID3mri4OPXo0UOrVq3yG8hnz56tmTNnHrH3AKAGDEMqyqt6j+nKwnVxQWhqsUcEsc90JeHaEcFwbwAAANSIqYH8119/1TPPPKNJkybpn//8p9asWaNbbrlFYWFhGj16tPbs2SNJatq0qc91TZs29R4rb+rUqZo0aZL3dWkPOYAQ8niCXN27knAdkuHe8g3HVQ7xLvfljJXsYaGpAwAAAKgmUwO5x+PRqaeeqgceeECS1K1bN23atEnPPvusRo8eXaN7Op1OOZ3OUJYJHHuKC8uE6IzghniXD+ChYLEFv8+0v3DtjJGsttDUAgAAABxhpgbypKQkderUyafthBNO0Ntvvy1JSkxMlCTt3btXSUlJ3nP27t2rk08++YjVCRxVDEMqyg8QoDOCC9fF+aGpxR5eSS90EOHaEclwbwAAANRbpgbyM888U1u2bPFp++WXX5ScnCxJat26tRITE/Xpp596A3hWVpa+/fZbjRs37kiXC4SGx1OyoFiVC5BlBD7mKQ5NLWExQQ7x9heuYyU7o1EAAACAmjI1kE+cOFE9e/bUAw88oOHDh2v16tV67rnn9Nxzz0mSLBaLJkyYoFmzZqldu3bebc+aNWumoUOHmlk66jN3UeVbYVW1/7QrS1IINjew2ILbZzpQuHbGMtwbAAAAMJGpgfy0007TO++8o6lTp+ree+9V69at9fjjj2vEiBHec+644w7l5ubqH//4hzIyMtSrVy99/PHH7EGOmjGMktW5KwTljODDdVFeaGqxOSvphQ6wCFnZY2FRDPcGAAAA6jBT9yE/EoLd/w11hMcjFeZU0QudUXm49hSFppawaP9BOWC4jvftnXbwSyUAAADgWFQn9iFHPeQu/jsoZwQ/xNtn+6xQDfe2BtcLHShcO2MlG//4AAAAAKg5EsXRwOOWfvtaytkrRTeVknsevXN7i8oN93YFCtABwnVRbmjqsIUFEaDjAx8Li2a4NwAAAABTEcjNtvk96eMpUtauQ22xzaRBD0mdLgztswzDd7h3QVb1w7W7MDS1hEUHMcS7knDNcG8AAAAAdRyB3Eyb35PeGKUKQ7Czdpe0D3/JN5R7h3sHM8S79PsM39W9DU8ICrdUDMtBhesybQz3BgAAAFDPkYrM4nGX9Iz7nQ/9d9vb10qftTm0Z3VhTmiebXX4mTftb5/pAOE6LFqyWkNTCwAAAADUUwRys/z2te8wdX/chdJfP1dsd0QFt890oHBtD2f+NAAAAACYjEBulpy9wZ3X+zbphCFlwnWsZHPUbm0AAAAAgFpHIDdLdNPgzmtzltSsW+3WAgAAAAA44pgIbJbkniWrqSvQ0HGLFNu85DwAAAAAwDGHQG4Wq61kazNJFUP5368HPXj07kcOAAAAADgsBHIzdbqwZGuz2CTf9thmFbc8AwAAAAAcU5hDbrZOF0odB5esup6zt2RueXJPesYBAAAA4BhHID8aWG1S695mVwEAAAAAOIIYsg4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACUwN5Pfcc48sFovPV8eOHb3H+/XrV+H4DTfcYGLFAAAAAACEht3sAjp37qxly5Z5X9vtviWNHTtW9957r/d1ZGTkEasNAAAAAIDaYnogt9vtSkxMDHg8MjKy0uMAAAAAANRFps8h37p1q5o1a6Y2bdpoxIgR2rlzp8/xV199VY0bN1aXLl00depU5eXlVXo/l8ulrKwsny8AAAAAAI42pvaQ9+jRQ6mpqerQoYN2796tmTNnqnfv3tq0aZNiYmJ05ZVXKjk5Wc2aNdMPP/ygKVOmaMuWLVq8eHHAe86ePVszZ848gu8CAAAAAIDqsxiGYZhdRKmMjAwlJyfr0Ucf1bXXXlvh+Geffab+/ftr27Ztatu2rd97uFwuuVwu7+usrCy1aNFCmZmZio2NrbXaAQAAAACQSnJoXFxclTnU9DnkZcXHx6t9+/batm2b3+M9evSQpEoDudPplNPprLUaAQAAAAAIBdPnkJeVk5OjtLQ0JSUl+T2+fv16SQp4HAAAAACAusLUHvLJkydryJAhSk5O1q5du3T33XfLZrPpiiuuUFpaml577TWdf/75atSokX744QdNnDhRffr0UdeuXc0sGwAAAACAw2ZqIP/jjz90xRVXaP/+/UpISFCvXr30zTffKCEhQQUFBVq2bJkef/xx5ebmqkWLFho2bJimT59uZskAAAAAAITEUbWoW20IdjI9AAAAAAChEGwOParmkAMAAAAAUF8QyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAE9QokKelpWn69Om64oorlJ6eLkn66KOP9OOPP4a0OAAAAAAAjlXVDuSff/65TjzxRH377bdavHixcnJyJEkbNmzQ3XffHfICAQAAAAA4FlU7kN95552aNWuWPvnkE4WFhXnbzz77bH3zzTchLQ4AAAAAgGNVtQP5xo0bdfHFF1dob9Kkif7666+QFAUAAAAAwLGu2oE8Pj5eu3fvrtD+/fffq3nz5iEpCgAAAACAY121A/nll1+uKVOmaM+ePbJYLPJ4PFq5cqUmT56sUaNG1UaNAAAAAAAcc6odyB944AF17NhRLVq0UE5Ojjp16qQ+ffqoZ8+emj59em3UCAAAAADAMcdiGIZRkwt37typTZs2KScnR926dVO7du1CXVtIZGVlKS4uTpmZmYqNjTW7HAAAAADAMS7YHGqv6QNatmypli1b1vRyAAAAAADqtWoH8muuuabS4y+88EKNi6mv3B631qWv0768fUqITFBKkxTZrDazywIAAAAA1KJqB/KDBw/6vC4qKtKmTZuUkZGhs88+O2SF1RfLflumB1c/qL15e71tTSOb6s7ud2pA8gATKwMAAAAA1KZqB/J33nmnQpvH49G4cePUtm3bkBRVXyz7bZkmrZgkQ77T+NPz0jVpxSQ92u9RQjkAAAAAHKOqvcq635tYrZo0aZIee+yxUNyuXnB73Hpw9YMVwrgkb9tDqx+S2+M+0qUBAAAAAI6AGi/qVl5aWpqKi4tDdbtj3rr0dT7D1MszZGhP3h5d8cEVOi7mOEU7ohUTFuP9ig2LrfA62hGtKEeULBbLEXwnAAAAAICaqHYgnzRpks9rwzC0e/duffDBBxo9enTICjvW7cvbF9R5Px34ST8d+Cno+1otVm94Lx/aY8JiFOOIqdBW9rwoR5SslpAMnAAAAAAAVKLagfz777/3eW21WpWQkKC5c+dWuQI7DkmITAjqvLEnjlWTyCbKLsxWdlF2yZ/lvrIKs5RVmKViT7E8hsf7+k/9We26LLIoOiy6yuAeKNxHO6JZIR4AAAAAglDtQL58+fLaqKPeSWmSoqaRTZWel+53HrlFFjWNbKobT74xqIBrGIZcblfA4J5VmOXb5uccl9slQ4b3tXJr9t7KDq+PdkT77akPFO6jw6Jlt4ZsJgUAAAAAHLVIPiaxWW26s/udmrRikiyy+IRyi0rmgE/pPiXo3maLxaJwe7jC7eFKUHC97+V5A/3fXzmFOcoqyqoy3OcU5ii7KFv5xfmSpJyiHOUU5Wh37u4a1RFpj/Qb3AMNxfc5JyxaDqujRs8FAAAAgCPJYhhGxe7Zcrp16xb0QmHr1q077KJCKSsrS3FxccrMzFRsbKzZ5VTgbx/yxMhETek+pc5teVbkLvLpeS8b3HMKcw69LvIf8EsD/eGKsEf4HU5fNrxHh/0d7h0Vw73DRqAHAAAAUHPB5tCgesiHDh0aqrpQzoDkATqrxVlal75O+/L2KSEyQSlNUurkPGyHzaGGtoZqGN6wRtcXeYqUW5hbEtIr6ZnPKcw59LpMuM8tKhljn1+cr/zifKXnp9eojnBbuE9o9xfcvSvblz3n77DvtDlr9FwAAAAA9UtQPeR12dHeQ47QKfYUK7coV1mFWd7Q7tNTX673vuw5pcdDIcwaFrBH3tvmCBzuw23hbF0HAAAA1GEh7SEH6gK71a44Z5zinHE1ut7tcSu3OLdCr7zfcB9gYTxDhgo9hdpfsF/7C/bX+H1458VXEtx95s+XOS/CHkGgBwAAAOqAagdyt9utxx57TG+88YZ27typwsJCn+MHDhwIWXHAkWSz2hQbFqvYsJqNpPAYHuUV5QUV3AP13nsMj4o9xTpQcEAHCmr2z5LdYvcJ7YGCe6D59ZH2SAI9AAAAcARUO5DPnDlT//73v3Xbbbdp+vTpmjZtmnbs2KElS5borrvuqo0agTrBarEqOixa0WHRSlJSta83DEN5xXk12rKu9KvYKFaxUawMV4YyXBk1fh/Bhnd/50Q5omS1WGv0bAAAAKA+qfYc8rZt2+rJJ5/U4MGDFRMTo/Xr13vbvvnmG7322mu1VWuNMIcc9YVhGMovzj+0sn1RTsUw72/bur/PyyrMUrGn+LDrsMii6LBy+887Yiq2BdiTPtoRTaAHAABAnVZrc8j37NmjE088UZIUHR2tzMxMSdIFF1ygGTNm1LBcAIfLYrEo0hGpSEekmkY1rfb1hmH47EXvs21dgHDvs/p9UY5cbpcMGd5jNVW653zA/eYdgcN9lCNKdivLYwAAAODoV+3/az3uuOO0e/dutWzZUm3bttXSpUuVkpKiNWvWyOlkuyegrrJYLAq3hyvcHq6EyIQa3aNsoA/UK19ZuC9wF0iScopylFOUo925u2tUR5Qjyhvqq+qVLx/uo8Oi5bCyFz0AAABqX7UD+cUXX6xPP/1UPXr00M0336yRI0dqwYIF2rlzpyZOnFgbNQKoI5w2p5wRTjWOaFyj6wvdhd7Q7nf+vJ9wX7YtvzhfkpRblKvcolztzdtbozoi7BG+29Y5/Kxs7yfgl4Z7h41ADwAAgKoFPYd83rx5GjlypOLj433aV61apVWrVqldu3YaMmRIbdR4WJhDDtQfRZ6iCtvUlYb2ygJ+6Tm5RbkhqSPcFh5wMbyqwn1MWIycNkYbAQAA1GXB5tCgA3lcXJyKiop08cUX69prr9XZZ58dsmJrE4EcQLCKPcXKLcqtMrgHCvc5RTkhqSPMGlZlaK8s3DttTrauAwAAMFHIF3Xbs2eP3nzzTS1cuFDnnHOOWrZsqWuuuUZXX321WrRoEZKiAcBMdqtdcc44xTnjanS92+NWbnFu5dvWBdjCLqswSzmFOTJkqNBTqP0F+7W/YH+N6nBYHX5De2UBv+wWdhH2CAI9AADAEVDtbc8k6ddff1Vqaqpeeukl/fHHHxowYICuvfZaDR06VA7H0TV3kh5yAHWFx/Aotyg3YHAPJtx7DM9h12G32APuQV9+73l/AT/SHkmgBwAA9VrIh6z7YxiGli1bptTUVC1ZskRRUVFKT0+v6e1qBYEcQH1hGIbyivOCDu/+znEb7sOuw2axKTos2hveK+w1X3ZPekfFcB/piGQvegAAUKfV2j7kZVksFtntdlksFhmGoaKiosO5HQDgMFgsFkU5ohTliFJiVGK1rzcMQ/nF+ZUG95xCP9vWlTmv2FMst+FWpitTma7MGr0Pq8VacS96P8G9Qrgvs5UdgR4AANQFNQrkv//+uxYuXKjU1FTt3LlTffr00fPPP69hw4aFuj4AwBFisVgU6YhUpCNSTaOaVvt6wzBU4C6oNLiXD/dlA39WYZaKPEXyGB5lFWYpqzCrZu9DlgqBvkJw99N7X3pOtCNaNqutRs8GAACojqADeWFhoRYvXqwXXnhBn332mZKSkjR69Ghdc801atOmTW3WCACoAywWiyLsEYqwR6hJZJMa3cPldvmE9PKh3WfBvKKK4b7AXSBDRkmvfVG2VMOd7KIcUT7h3bvXfFh04P3oHYfOsVsPawAaAACoJ4L+P4bExETl5eXpggsu0H//+18NHDhQVitDAgEAoeO0OeWMcKpxROMaXV/oLgwY3CsL96U9+PnF+ZKk3KJc5Rblak/unhrVEWGP8B/cy/TMl4b7Cuc5YuSwHV0LpAIAgNoRdCCfPn26rrrqKiUkJITs4ffcc49mzpzp09ahQwf9/PPPkqSCggLddtttWrRokVwulwYOHKinn35aTZtWfyglAODYF2YLU6OIRmoU0ahG1xd5irzB3V949/bcB9iTPq84T5KUX5yv/OJ8pefVbKHTCHuEYhwxPqG9sp758uE+zBZWo+cCAIAjK+hAPmnSpFopoHPnzlq2bNmhguyHSpo4caI++OADvfnmm4qLi9NNN92kSy65RCtXrqyVWgAA9ZvD6lCD8AZqEN6gRtcXe4oPBfqibL9hPtBe9KVBXyoT6PNrFuidNmeNtqwrPcdpc7J1HQAAR4Dpk9zsdrsSEyuuBpyZmakFCxbotdde09lnny1JWrhwoU444QR98803Ov300490qQAAVMputSs+PF7x4fE1ut7tcfv0vgcK7oHCfU5hjgwZcrldcuW79Ff+XzWqw2F1BA7tQYT7cFs4gR4AgCCYHsi3bt2qZs2aKTw8XGeccYZmz56tli1bau3atSoqKtKAAQO853bs2FEtW7bUqlWrAgZyl8sll8vlfZ2VVbNVegEAONJsVpvinHGKc8bV6HqP4VFuUW7g4F4u2Psbiu8xPCryFOlAwQEdKDhQozrsVnuF0F5Vr3zZcyLsEQR6AEC9YGog79Gjh1JTU9WhQwft3r1bM2fOVO/evbVp0ybt2bNHYWFhio+P97mmadOm2rMn8CI7s2fPrjAvHQCA+sBqsXqDbU14DI/yivKUU1Rx27ryr/2dk12YLbfhVrGnWAddB3XQdbBGddgstkpDu9896R2HtraLckQR6AEAdYKpgfy8887zft+1a1f16NFDycnJeuONNxQREVGje06dOtVnvntWVpZatGhx2LUCAHCss1qsig6LVnRYtBKjKk4nq4phGMovzvfdbz5AcC9/TnZhtrJcWSo2iuU23MpwZSjDlVHz9+GouEWdvzZ/4T7KESWrhZ1kAAC1r9qB3O12KzU1VZ9++qnS09Pl8Xh8jn/22Wc1LiY+Pl7t27fXtm3bdM4556iwsFAZGRk+veR79+71O+e8lNPplNPprHENAACgZiwWiyIdkYp0RNY40Be4C/wPpy/MUXZR4G3rStuLPEXyGB5lFWYpqzBLf+rP6r8PWbzhPVBwryzcRzuiZbPaqv1cAED9U+1Afuuttyo1NVWDBw9Wly5dQjokLCcnR2lpabrqqqt0yimnyOFw6NNPP9WwYcMkSVu2bNHOnTt1xhlnhOyZAADg6GCxWBRhj1CEPUJNIpvU6B4utyvgwnc+4b7MHvVlv1xulwwZJfPti7Kl3Jq9l2hH9KHt6ByV98qXnhfrOPTabjV9mR8AwBFgMQzDqM4FjRs31ksvvaTzzz//sB8+efJkDRkyRMnJydq1a5fuvvturV+/Xps3b1ZCQoLGjRunDz/8UKmpqYqNjdXNN98sSfr666+DfkZWVpbi4uKUmZmp2NjYw64ZAAAcu0oDvc9+9H6Ce/lwX7poXn5xfkjqiLRH+gT3suHeX898+XDvsDpCUgcAoGaCzaHV/vVrWFiYjj/++MMqrtQff/yhK664Qvv371dCQoJ69eqlb775RgkJCZKkxx57TFarVcOGDZPL5dLAgQP19NNPh+TZAAAA5TltTjkjnGoc0bhG1xe5i3xWs88qzPIN96U99wFWvM8rzpMk5RXnKa84T3vz9taojgh7RMDF8Cr01Dsq9t6H2cJq9FwAQPVUu4d87ty5+vXXXzVv3rw6sYIpPeQAAKCuKPIUKbcwN2DPvN+e+jLhPreohmPsywm3hR/qla8kuAcahu+0sZ4PgPqt1nrIv/rqKy1fvlwfffSROnfuLIfDd0jU4sWLq18tAAAA5LA6FB8er/jw+Bpd7/a4vavW+13VPkDPfNlh95JU4C5QQX6B/sr/q0Z1hFnDqg7ulfTgh9vC60THDwAcrmoH8vj4eF188cW1UQsAAAAOg81qU5wzTnHOuBpd7/a4lVucW3WvfJkAn1Pou7WdIUOFnkLtL9iv/QX7a1SH3Wo/NE++iqH3/s6LsEcQ6AHUCdUesl7XMGQdAADgyPAYHuUV5fnda76qLetKw73bcB92HTaLrcrgHh0WHXBxvEh7JIEewGGptSHrAAAAgD9Wi1XRYSVbviUpqdrXG4ah/OL8CuG9fLgPtLVddmG2io1iuQ23MlwZynBl1Ph9lO4p72/Luqr2pI9yRMlqsdbo2QDqlxoF8rfeektvvPGGdu7cqcLCQp9j69atC0lhAAAAqF8sFosiHZGKdEQqMSqx2teXBvqy8+gr3ZO+3HlZhVkq9hTLY3iU6cpUpitTf+rP6r8PWSr0wPsL7oHCfbQjWjarrdrPBVD3VDuQP/nkk5o2bZquvvpqvfvuuxozZozS0tK0Zs0a3XjjjbVRIwAAAFClsoG+SWSTal9vGIZ3L3rvtnVVhPvy57ncLhkyvMdqqjSclw/uZdsDhfsoR5TsVgbCAnVBteeQd+zYUXfffbeuuOIKxcTEaMOGDWrTpo3uuusuHThwQPPmzautWmuEOeQAAAA4UsoG+kChvbJwX+AuCEkdkfbIKoN7oHAfHRYth9VR9UMABFRrc8h37typnj17SpIiIiKUnV3ym7+rrrpKp59++lEXyAEAAIAjxWlzyhnhVOOIxjW6vshd5LM9XaAh9+W3tys9L784X5KUV5ynvOI87c3bW6M6IuwRAVe59zuv3uF73GEj0APBqHYgT0xM1IEDB5ScnKyWLVvqm2++0UknnaTt27frGF+wHQAAAKhVDptDDW0N1TC8YY2uL/IUKacwJ+C+83575sucl1uUK0nKL85XfnG+0pVeozrCbeGVhvZKw31YjJw2Z42eC9Q11Q7kZ599tt577z1169ZNY8aM0cSJE/XWW2/pu+++0yWXXFIbNQIAAAAIgsPqUIPwBmoQ3qBG1xd7ipVblBtwSH1lvfc5hTnKLioZPVvgLlBBfoH25e+rUR1h1rAqQ3v5gF/2PKfNydZ1qBOqPYfc4/HI4/HIbi/J8osWLdLXX3+tdu3a6frrr1dYWFitFFpTzCEHAAAAjgy3x63c4tyqe+UDBPycwhwZOvxRtw6rI6jg7rMafpnzIuwRBHoclmBzaLUDeV1DIAcAAADqBo/hUW5RrnIKc3yDfJGfPekLy+1J//c5HsNz2HXYLXafEB8ouPtsW1fmnEh7JIG+nqu1Rd0k6csvv9T8+fOVlpamt956S82bN9fLL7+s1q1bq1evXjUuGgAAAED9ZbVYvUE3SUnVvt4wDOUV5/nuN18+3PsJ+N5594XZKjaKVWwU66DroA66DtbofdgsNkWHRXvDe/leeZ82R8VwH+mIlNVirdGzUbdUO5C//fbbuuqqqzRixAh9//33crlckqTMzEw98MAD+vDDD0NeJAAAAABUxWKxKMoRpShHlBKjEqt9vWEYyi/O9xvcy4b2ygJ+sadYbsOtTFemMl2ZNXsfsvj2yvsJ7qXB3t88+2hH9DEZ6N0et9alr9O+vH1KiExQSpMU2aw2s8s6LNUest6tWzdNnDhRo0aN8tmH/Pvvv9d5552nPXv21FatNcKQdQAAAABHgmEYPnvR+wvu5cN92fOyCrNU5Ck67Dossnj3mQ8Y3B2Bw320I/qoC7rLflumB1c/6LOVX9PIprqz+50akDzAxMr8q7Uh61u2bFGfPn0qtMfFxSkjI6O6twMAAACAY4LFYlG4PVzh9nAlRCbU6B5lA31Vi+NlFVUM9wXuAhkySnrti7Kl3Jq9lyhHVLW3rIt1lIT76LBoOayh24t+2W/LNGnFpAoL/qXnpWvSikl6tN+jR2UoD0aN9iHftm2bWrVq5dP+1VdfqU2bNqGqCwAAAADqHafNKWeEU40jGtfo+kJ3YaWr2Ve1H31+cb4kKbcoV7lFudqTW7MR0BH2CP/B3U+499d777CVBHq3x60HVz/od/V9Q4Yssuih1Q/prBZnHXW9+sGodiAfO3asbr31Vr3wwguyWCzatWuXVq1apcmTJ2vGjBm1USMAAAAAIAhhtjA1imikRhGNanR9kacoqPnygQJ+XnGeJCm/OF/5xflKz0uvUR3htnDFhMXIbrX7DFMvz5ChPXl7tC59nU5LPK1GzzJTtQP5nXfeKY/Ho/79+ysvL099+vSR0+nU5MmTdfPNN9dGjQAAAACAI8BhdahBeAM1CG9Qo+uLPcXKLcr1P8Q+iHCfU5QjSSpwF6ggvyDo5+7L21ejes1W433ICwsLtW3bNuXk5KhTp06Kjo4OdW0hwaJuAAAAAFA3uD1u5RQd6qH/bu93mrNmTpXXvTDwhaOqh7xW9yGXpLCwMHXq1KmmlwMAAAAA4MNmtSnOGac4Z5wkqX2D9nrxxxeVnpfudx65RRY1jWyqlCYpR7rUkAg6kF9zzTVBnffCCy/UuBgAAAAAAErZrDbd2f1OTVoxSRZZfEK5RRZJ0pTuU+rkgm5SNQJ5amqqkpOT1a1bN9VwlDsAAAAAANUyIHmAHu33qN99yKd0n1JntzyTqhHIx40bp9dff13bt2/XmDFjNHLkSDVs2LA2awMAAAAAQAOSB+isFmdpXfo67cvbp4TIBKU0SamzPeOlqrWom8vl0uLFi/XCCy/o66+/1uDBg3Xttdfq3HPPlcViqc06a4xF3QAAAAAAR1KwObTGq6z/9ttvSk1N1UsvvaTi4mL9+OOPR+VK6wRyAAAAAMCRFGwOtdb0AVarVRaLRYZhyO121/Q2AAAAAADUS9UK5C6XS6+//rrOOecctW/fXhs3btS8efO0c+fOo7J3HAAAAACAo1XQi7qNHz9eixYtUosWLXTNNdfo9ddfV+PGjWuzNgAAAAAAjllBzyG3Wq1q2bKlunXrVukCbosXLw5ZcaHAHHIAAAAAwJEUbA4Nuod81KhRR+1K6gAAAAAA1DVBB/LU1NRaLAMAAAAAgPqlxqusAwAAAACAmiOQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABggqMmkD/44IOyWCyaMGGCt61fv36yWCw+XzfccIN5RQIAAAAAECJ2swuQpDVr1mj+/Pnq2rVrhWNjx47Vvffe630dGRl5JEsDAAAAAKBWmN5DnpOToxEjRuj5559XgwYNKhyPjIxUYmKi9ys2NtaEKgEAAAAACC3TA/mNN96owYMHa8CAAX6Pv/rqq2rcuLG6dOmiqVOnKi8vr9L7uVwuZWVl+XwBAAAAAHC0MXXI+qJFi7Ru3TqtWbPG7/Err7xSycnJatasmX744QdNmTJFW7Zs0eLFiwPec/bs2Zo5c2ZtlQwAAAAAQEhYDMMwzHjw77//rlNPPVWffPKJd+54v379dPLJJ+vxxx/3e81nn32m/v37a9u2bWrbtq3fc1wul1wul/d1VlaWWrRooczMTIa7AwAAAABqXVZWluLi4qrMoab1kK9du1bp6elKSUnxtrndbn3xxReaN2+eXC6XbDabzzU9evSQpEoDudPplNPprL3CAQAAAAAIAdMCef/+/bVx40aftjFjxqhjx46aMmVKhTAuSevXr5ckJSUlHYkSAQAAAACoNaYF8piYGHXp0sWnLSoqSo0aNVKXLl2Ulpam1157Teeff74aNWqkH374QRMnTlSfPn38bo8GAAAAAEBdclTsQ+5PWFiYli1bpscff1y5ublq0aKFhg0bpunTp5tdGgAAAAAAh820Rd2OlGAn0wMAAAAAEArB5lDT9yEHAAAAAKA+IpADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJrCbXQAAAEeCx+NRYWGh2WWgHnA4HLLZbGaXAQCoAwjkAIBjXmFhobZv3y6Px2N2Kagn4uPjlZiYKIvFYnYpAICjGIEcAHBMMwxDu3fvls1mU4sWLWS1MlsLtccwDOXl5Sk9PV2SlJSUZHJFAICjGYEcAHBMKy4uVl5enpo1a6bIyEizy0E9EBERIUlKT09XkyZNGL4OAAiIbgIAwDHN7XZLksLCwkyuBPVJ6S9/ioqKTK4EAHA0I5ADAOoF5vLiSOLnDQAQDAI5AAAAAAAmYA45AABBcHsMrd5+QOnZBWoSE67urRvKZqUXFAAA1ByBHACAKny8abdm/nezdmcWeNuS4sJ195BOGtSldlfRXrVqlXr16qVBgwbpgw8+qNVnAQCAI4sh6wAAVOLjTbs17pV1PmFckvZkFmjcK+v08abdtfr8BQsW6Oabb9YXX3yhXbt21eqzAADAkUUgBwDUK4ZhKK+wOKiv7IIi3f3ejzL83efvP+95b7OyC4qCup9h+LtTYDk5OfrPf/6jcePGafDgwUpNTfU5/t5776ldu3YKDw/XWWedpRdffFEWi0UZGRnec7766iv17t1bERERatGihW655Rbl5uZWqw4AAFA7GLIOAKhX8ovc6nTX/0JyL0PSnqwCnXjP0qDO33zvQEWGBf+f3jfeeEMdO3ZUhw4dNHLkSE2YMEFTp06VxWLR9u3bdemll+rWW2/Vddddp++//16TJ0/2uT4tLU2DBg3SrFmz9MILL2jfvn266aabdNNNN2nhwoXVeasAAKAW0EMOAMBRasGCBRo5cqQkadCgQcrMzNTnn38uSZo/f746dOighx9+WB06dNDll1+uq6++2uf62bNna8SIEZowYYLatWunnj176sknn9RLL72kgoKC8o8DAABHGD3kAIB6JcJh0+Z7BwZ17urtB3T1wjVVnpc65jR1b90wqGcHa8uWLVq9erXeeecdSZLdbtf//d//acGCBerXr5+2bNmi0047zeea7t27+7zesGGDfvjhB7366qveNsMw5PF4tH37dp1wwglB1wMAAEKPQA4AqFcsFkvQw8Z7t0tQUly49mQW+J1HbpGUGBeu3u0SQr4F2oIFC1RcXKxmzZp52wzDkNPp1Lx584K6R05Ojq6//nrdcsstFY61bNkyZLUCAICaIZADABCAzWrR3UM6adwr62SRfEJ5afy+e0inkIfx4uJivfTSS5o7d67OPfdcn2NDhw7V66+/rg4dOujDDz/0ObZmjW9vfkpKijZv3qzjjz8+pPUBAIDQYA45AACVGNQlSc+MTFFiXLhPe2JcuJ4ZmVIr+5C///77OnjwoK699lp16dLF52vYsGFasGCBrr/+ev3888+aMmWKfvnlF73xxhveVdgtlpJfEEyZMkVff/21brrpJq1fv15bt27Vu+++q5tuuinkNQMAgOo7agL5gw8+KIvFogkTJnjbCgoKdOONN6pRo0aKjo7WsGHDtHfvXvOKBADUS4O6JOmrKWfr9bGn64nLT9brY0/XV1POrpUwLpUMVx8wYIDi4uIqHBs2bJi+++47ZWdn66233tLixYvVtWtXPfPMM5o2bZokyel0SpK6du2qzz//XL/88ot69+6tbt266a677vIZBg8AAMxzVAxZX7NmjebPn6+uXbv6tE+cOFEffPCB3nzzTcXFxemmm27SJZdcopUrV5pUKQCgvrJZLTqjbaMj8qz//ve/AY91797du595165ddeGFF3qP3X///TruuOMUHn6oN/+0007T0qXBbcsGAACOLNN7yHNycjRixAg9//zzatCggbc9MzNTCxYs0KOPPqqzzz5bp5xyihYuXKivv/5a33zzjYkVAwBwdHj66ae1Zs0a/frrr3r55Zf18MMPa/To0WaXBQBArXB7DK1K26931/+pVWn75fb4W3K1bjG9h/zGG2/U4MGDNWDAAM2aNcvbvnbtWhUVFWnAgAHeto4dO6ply5ZatWqVTj/9dL/3c7lccrlc3tdZWVm1VzwAACbaunWrZs2apQMHDqhly5a67bbbNHXqVLPLAgAg5D7etFsz/7tZuzMLvG1JceG6e0inWptCdiSYGsgXLVqkdevWVVgVVpL27NmjsLAwxcfH+7Q3bdpUe/bsCXjP2bNna+bMmaEuFQCAo85jjz2mxx57zOwyAACoVR9v2q1xr6yrsAXpnswCjXtlXa0tsnokmDZk/ffff9ett96qV1991Weu2+GaOnWqMjMzvV+///57yO4NAAAAADhy3B5DM/+7uUIYlw5tRzrzv5vr7PB103rI165dq/T0dKWkpHjb3G63vvjiC82bN0//+9//VFhYqIyMDJ9e8r179yoxMTHgfZ1Op3d1WQAAAABA6Hk8hgqK3Soo8qigyP33l+fvNrdcpe0+5xxqcwW4rvQcV3HJn9kFRcpxuQPWYUjanVmg1dsPHLHFV0PJtEDev39/bdy40adtzJgx6tixo6ZMmaIWLVrI4XDo008/1bBhwyRJW7Zs0c6dO3XGGWeYUTIAAAAAHJWK3J5ygbbk+/wi36BbEog9cpVvLxecXcWBj7uKPCp0e8x+yz7SswuqPukoZFogj4mJUZcuXXzaoqKi1KhRI2/7tddeq0mTJqlhw4aKjY3VzTffrDPOOCPggm4AAAAAYDbDMLw9vP4Db4DQW66n2BXgugo9zMUeU4dsO2wWhdttcjpsCndYFV76p93m/d7psP39upLjDpvC7aXHS9q37MnW7W/9UGUNTWJCNw36SDJ9lfXKPPbYY7JarRo2bJhcLpcGDhyop59+2uyyAAAAANQhxW6PCorLhdoyvciBe4Ldfq8rbXNVMtzaTN7QWyYAO33CboDj5UJy2eDsG7Z9g7PNaqm199K5WZwe/eQX7cks8DuP3CIpMS5c3Vs3rLUaatNRFchXrFjh8zo8PFz/+te/9K9//cucggAAAACEVGnvsctPkC0oF4D9n1PVPOWyvc8lbcUm9h7brZZDvcD2cqG2TAB2+gnJZYOzM0AYLn+O026VxVJ7AflIs1ktuntIJ417ZZ0skk8oL32Xdw/pVKu/FKhNR1UgBwDgqOVxS799LeXslaKbSsk9JavN7KqOGqmpqZowYYIyMjLMLgVANbk9ht8w7H/ItG8A9pmHXGHOsf/jrmKPDBMXxA6zW30CbUTAIdO+AdjpJ0SXDc7OCm0l19ltpm1sdcwY1CVJz4xMqbAPeSL7kAMAUA9sfk/6eIqUtetQW2wzadBDUqcLa/XRq1atUq9evTRo0CB98MEHtfqs2maxWPTOO+9o6NChZpcCHLUMw1Ch21Mm7Fbei+zyE5J95xlXsmjX321FbvPSsdWiCr2+vkOnfXuCK4Tecj3FFecpl+uFtltlraM9qfXdoC5JOqdTolZvP6D07AI1iSkZpl5Xe8ZLEcgBAKjM5vekN0ZJ5WeuZe0uaR/+Uq2G8gULFujmm2/WggULtGvXLjVr1qzWngWgIo+nzOJcARfXqhiW8wurt7VT2WHWZm6nHGazlhkaXbEn2FnJolwV5ykHmqt8qM1hsxxTw6tRu2xWS53c2qwyBHIAQP1iGFJRXnDnetzSR3eoQhgvuZEkS0nPeZt+wQ1fd0RK1fgfz5ycHP3nP//Rd999pz179ig1NVX//Oc/vcdXrFihs846S8uWLdOUKVO0efNmnXzyyVq4cKE6dOggSbrnnnu0ZMkS3XbbbZoxY4YOHjyo8847T88//7xiYmIkSa1atdKECRM0YcIE771PPvlkDR06VPfcc48k6dFHH9XChQv166+/qmHDhhoyZIjmzJmj6OjooN9PWTt27FDr1q319ttv66mnntK3336rdu3a6dlnn/XZ3nTlypWaNm2aVq9eLafTqe7du2vRokVq0KCBXC6Xbr/9di1atEhZWVk69dRT9dhjj+m0007z+Xw+/vhj3Xnnnfr55591xhlnaNGiRVq7dq0mTZqkP//8UxdccIH+/e9/KzIyUpLk8Xj00EMP6bnnntOePXvUvn17zZgxQ5deemmN3itCK9DWTpWtZl0+9AY3T7nknEITF+eyWFSht9dZyaJc3rAbYFGuwPOUD/U+1/XeRqCuIZADAOqXojzpgVD1Mhslw9gfbBHc6f/cJYVFBX33N954Qx07dlSHDh00cuRITZgwQVOnTq3QmzRt2jTNnTtXCQkJuuGGG3TNNddo5cqV3uNpaWlasmSJ3n//fR08eFDDhw/Xgw8+qPvvvz/oWqxWq5588km1bt1av/76q8aPH6877rjjsHc/mTZtmh555BG1a9dO06ZN0xVXXKFt27bJbrdr/fr16t+/v6655ho98cQTstvtWr58udxutyTpjjvu0Ntvv60XX3xRycnJmjNnjgYOHKht27apYcNDq+3ec889mjdvniIjIzV8+HANHz5cTqdTr732mnJycnTxxRfrqaee0pQpUyRJs2fP1iuvvKJnn31W7dq10xdffKGRI0cqISFBffv2Paz3e6xha6fQbe1UNiSX3j/MdmwtzgWgIgI5AABHqQULFmjkyJGSpEGDBikzM1Off/65+vXr53Pe/fff7w2Kd955pwYPHqyCggKFh5fsyerxeJSamurtEb/qqqv06aefViuQl+09b9WqlWbNmqUbbrjhsAP55MmTNXjwYEnSzJkz1blzZ23btk0dO3bUnDlzdOqpp/o8o3PnzpKk3NxcPfPMM0pNTdV5550nSXr++ef1ySefaMGCBbr99tu918yaNUtnnnmmJOnaa6/V1KlTlZaWpjZt2kiSLr30Ui1fvlxTpkyRy+XSAw88oGXLlnl76tu0aaOvvvpK8+fPP+oDOVs71d7WTk4W5wJQCwjkAID6xRFZ0lMdjN++ll4NYpjyiLdKVl0P5tlB2rJli1avXq133nlHkmS32/V///d/WrBgQYVA3rVrV+/3SUklK82mp6erZcuWkkoCdGkYLz0nPT096FokadmyZZo9e7Z+/vlnZWVlqbi4WAUFBcrLy/MO9a6JQLV37NhR69ev12WXXeb3urS0NBUVFXmDtiQ5HA51795dP/30U8BnNG3aVJGRkd4wXtq2evVqSdK2bduUl5enc845x+cehYWF6tatW7Xfn6vILZenqF5s7WSzWnx6fQ8NnfazuFYYWzsBgEQgBwDUNxZL8MPG255dspp61m75n0duKTne9uyQb4G2YMECFRcX+yziZhiGnE6n5s2bp7i4OG+7w+E4VNHfAcXj8fg9XnpO2eNWq1VGuT2IioqKvN/v2LFDF1xwgcaNG6f7779fDRs21FdffaVrr71WhYWFhxXIK6s9IiKixvf19wzDMGQYJa8Liz3yGIYMw1CR21Cx262s/CLt+eugJOm1t95RYmJzGTLkMSRDhhwOp/44kCfP3/fyGPr7HvLeq7TNXVSo9IP5um7xl/oz2x2S91Fd5bd2qjr0+punHPwWTw56jwGg2gjkAAAEYrWVbG32xihJFvmG8r975gY9GPIwXlxcrJdeeklz587Vueee63Ns6NChev3113XDDTeE7HkJCQnavXu393VWVpa2b9/ufb127Vp5PB7NnTtXVmtJ6HrjjTcO65mlvwBwezwqcntkGCX7IEtSfqFb2QVFOqFTF/3vk2W69Y5p3rBb+mdko2YKCwvTe//7TBcNGy6PIbkKC7Xq29W6eux4bdmTrZ37cyVJP+3KVHSuRYZh6M+MfHkMQz/vyfLWcjCvUIXFHu3Yn6vIpskKczq1cUuaWnU5rULdB/IKg35/ZX9a2NoJAOAPgRwAgMp0urBkazO/+5A/WCtbnpUuvnbttdf69IRL0rBhw7RgwYKQBvKzzz5bqampGjz4AsXGxemee+6WzWZTkdujPFexmrVopaKiIs159DENPG+wvln1tZ5+5llJUnpWgfIt+TqYVyjDkH4/kCdPufBc2osslRzf9Gem/tiTLUlK25crx+6ScJyVmSNJ2pWZr+1/5Wr42Jt16Tlnaty4cbrsqjFyOMK05usvdc4FQ9WgYSNddtU1uu+uabJHxCix+XFKfeZJ5efl6YLLRshV7FbR38O33YYqjACwWCyyWkr+tFlLtl2KcNgU1bCBrht/i+beO00RdqtOO72ncrMz9d3qbxUbE6vLR4z0udZqkawWiyzl/ix0FciWG653bzpTsVFRbO0EAPCLQA4AQFU6XSh1HFwypzxnrxTdtGTOeIh7xkstWLBA/QcMUHRMjLf3uDTgnj/kIs2ZM0dfr16rnIKSYeUHclwqsrlkGIb+ynZJkvZkFsh2IE+ZeUUqLPbo1305JUOrZSg9u0BFbkM/7c6SxzB04ejx+v7HLbpgyAWKjonVjZOnacvWNB3ILdS2fTmKatZWk++6X48+/IhmzpihlB49deMd0zV9wjilZ7tUYHUpp6BYhgwdrKIH2e0xSgJ6uXarxSL73yOeHbaSXt9OHTsq9Y139ej9MzViyACFh0eo2ymnasSIKxUf49T9D8xWuN2iGRPHKScnWyennKIl//1AXds2l9Ui/RlXMuS9XZNoNWgQK6tF+i4+QlaLRSc2P/SLjsbRTjntVrVrWjLPft7ch9Q+ubmeeepR3TnxJsXHxyslJUX//Oc/1SQ2PLi/RHfJ9lHRTofC7AzlBgD4ZzHK/8r4GJOVlaW4uDhlZmYqNjbW7HIAAEdYQUGBtm/frtatW3tXHa8uw2eecMmfZecR+/7pv3fY358Vrz10vGJkPXIsFousUlA9wWWPl/zpr83/td4/pWOu9zgUP3cAgLor2BxKDzkAoM6pztZOnmKXWoUVa3+OSzaXDi3S5SkTgFVxUa7y4dlMlQfhkkDrbbP+/acqBmJ/QTlQiAYAALWPQA4AOCyGYchV7AmwbZP5Wzs1j7HpnrOaKCzHJYv98IO1RZX1DlfeE1zxPD/3UMVrCcgAABybCOQAcIzxeAy/gbby0HuozRXgukO90BWPm9mBXNXWTolRNkWG2RQb7lCY01lJL3FVQ7EP9SYDAACEAoEcAGpR6R7HFcJwJb3JrnLDsMsHZ1f568ocdxV5VOj2VF1YLTkat3YqncubFB/BXF4AAHBUIZADqFc8HuNQD2+AXmRXwCHX/uYplw3XZcJ0mV7kaoyuDrkwm1VOb5g9FGRLA67TJ+z6Oe4nJIeXC8nOMm1s7QQAABA8AjkAUxW5Kwu7/oNzhSHTQc1TLjmnsNi83mOLRRV6e512a8Cg6w275XuRy/YQB7iutPfZVkXvMQAAAMxDIAfgVbo4V2Vh2O+Q6XIB2FVp77NvQHab2H1st1rKDZ0OMCzab+j1nadcfpi2b4Au+T7MZqX3GAAAAF4EcuAo5vYYfleqrhB0K8wjDnB+cZnjARbrMlOg3mJnhbDrG4CdfkJ02eBcYZ7y39fZbVZT3y8AAADqNwI5ECTDMFTo9pSZJ1z5Fk+uAGHZ7zzl8ot2/d1W5Dav99hmtfj09h4aOl2xF9npJ0QHnqccaC4zvccAAACoXwjkRwG3x9Dq7QeUnl2gJjHh6t66IfM+g8DWTlUNmfY3Tzn4XmQHvceAD7fHrXXp67Qvb58SIhOU0iRFNqvN7LJM06pVK02YMEETJkyQVLIl3DvvvKOhQ4eaWhcAAHUJgdxkH2/arZn/3azdmQXetqS4cN09pJMGdUkysbLqYWsn87d2AlB7lv22TA+uflB78/Z625pGNtWd3e/UgOQBtfLMffv26a677tIHH3ygvXv3qkGDBjrppJN011136cwzz6yVZx6O3bt3q0GDBrX+nM8//1wzZ87U+vXrVVBQoObNm6tnz556/vnnFRYWVuvPBwAglAjkJvp4026Ne2Wdyne67sks0LhX1umZkSk1DuX1bWsnh81SYeh0BFs7AQiBZb8t06QVk2SU+7d1el66Jq2YpEf7PVoroXzYsGEqLCzUiy++qDZt2mjv3r369NNPtX///pA/KxQSExNr/RmbN2/WoEGDdPPNN+vJJ59URESEtm7dqrfffltut7tWnmkYhtxut+x2/pcJABB6/NfFJG6PoZn/3VwhjEvytt3+1g/a+GemCos9dWprJ0kBAq2f4dTlj1eyxZPPPOVyAZoh/gCCZRiG8ovzgzrX7XFr9urZFcK4JG/bg6sfVI/EHkENX4+wRwT1y7yMjAx9+eWXWrFihfr27StJSk5OVvfu3X3Os1gsevrpp/Xee+9pxYoVSkpK0pw5c3TppZd6z/n999912223aenSpbJarerdu7eeeOIJtWrVSpJ09dVXKyMjQ7169dLcuXNVWFioyy+/XI8//rgcDockKT09Xddee62WLVumxMREzZo1q0LNZYes79ixQ61bt9bbb7+tp556St9++63atWunZ599VmeccYb3mueff1733nuv9u/fr4EDB6p379669957lZGR4fdzWbp0qRITEzVnzhxvW9u2bTVo0CCf81auXKlp06Zp9erVcjqd6t69uxYtWqQGDRrI5XLp9ttv16JFi5SVlaVTTz1Vjz32mE477TRJ0ooVK3TWWWfpww8/1PTp07Vx40YtXbpUffr00UMPPaTnnntOe/bsUfv27TVjxgyfzxoAgOoikJtk9fYDPsPU/ckuKNa/lqcd9rOO2NZOf5/D4lwAjmb5xfnq8VqPkN1vb95e9VzUM6hzv73yW0U6Iqs8Lzo6WtHR0VqyZIlOP/10OZ3OgOfOmDFDDz74oJ544gm9/PLLuvzyy7Vx40adcMIJKioq0sCBA3XGGWfoyy+/lN1u16xZszRo0CD98MMP3iHey5cvV1JSkpYvX65t27bp//7v/3TyySdr7NixkkpC+65du7R8+XI5HA7dcsstSk9Pr/J9TJs2TY888ojatWunadOm6YorrtC2bdtkt9u1cuVK3XDDDXrooYd04YUXatmyZZoxY0al90tMTNTu3bv1xRdfqE+fPn7PWb9+vfr3769rrrlGTzzxhOx2u5YvX+7tQb/jjjv09ttv68UXX1RycrLmzJmjgQMHatu2bWrYsKH3PnfeeaceeeQRtWnTRg0aNNDs2bP1yiuv6Nlnn1W7du30xRdfaOTIkUpISPD+0gQAgOqyGIaZy1TVvqysLMXFxSkzM1OxsbFml+P17vo/deui9VWe17tdY52QFMvWTgBQQwUFBdq+fbtat26t8PBw5RXlhTSQV0ewgVyS3n77bY0dO1b5+flKSUlR3759dfnll6tr167ecywWi2644QY988wz3rbTTz9dKSkpevrpp/XKK69o1qxZ+umnn7y/KC0sLFR8fLyWLFmic889V1dffbVWrFihtLQ02WwlvfzDhw+X1WrVokWL9Msvv6hDhw5avXq1txf5559/1gknnKDHHnvM76JupT3k//73v3XttddKKhlu3rlzZ/3000/q2LGjLr/8cuXk5Oj999/31j5y5Ei9//77AXvI3W63rrvuOqWmpioxMVGnn366+vfvr1GjRnn/G3/llVdq586d+uqrrypcn5ubqwYNGig1NVVXXnmlJKmoqMi7QN3tt9/u7SFfsmSJLrroIkmSy+VSw4YNtWzZMp8e/uuuu055eXl67bXXKjyr/M8dAKB+CTaH0kNukiYxwf3HeXy/43VG20a1XA0A1B8R9gh9e+W3QZ27du9ajf90fJXnPd3/aZ3S9JSgnh2sYcOGafDgwfryyy/1zTff6KOPPtKcOXP073//W1dffbX3vLIBsfT1+vXrJUkbNmzQtm3bFBMT43NOQUGB0tIOjcDq3LmzN4xLUlJSkjZu3ChJ+umnn2S323XKKYfeX8eOHRUfH1/leyj7y4OkpJI1UdLT09WxY0dt2bJFF198sc/53bt39wno5dlsNi1cuFCzZs3SZ599pm+//VYPPPCAHnroIa1evVpJSUlav369LrvsMr/Xp6WlqaioyGdRPIfDoe7du+unn37yOffUU0/1fr9t2zbl5eXpnHPO8TmnsLBQ3bp1q+JTAAAgMAK5Sbq3bqikuHDtySzwO4/cIikxrmQLNABA6FgslqB7qXs266mmkU2Vnpfudx65RRY1jWyqns161soWaOHh4TrnnHN0zjnnaMaMGbruuut09913+wTyyuTk5OiUU07Rq6++WuFYQkKC9/vSueKlLBaLPJ7DX4uk7H1Le+hDcd/mzZvrqquu0lVXXaX77rtP7du317PPPquZM2cqIiL4X3pUJioqyvt9Tk6OJOmDDz5Q8+bNfc6rbDoBAABVYSyzSWxWi+4e0klSSfguq/T13UM6sVgZAJjIZrXpzu53SioJ32WVvp7SfcoR24+8U6dOys3N9Wn75ptvKrw+4YQTJEkpKSnaunWrmjRpouOPP97nKy4uLqhnduzYUcXFxVq7dq23bcuWLQGHlQerQ4cOWrNmjU9b+dfBaNCggZKSkryfS9euXfXpp5/6Pbdt27YKCwvTypUrvW1FRUVas2aNOnXqFPAZnTp1ktPp1M6dOyt8ji1atKh2zQAAlCKQm2hQlyQ9MzJFiXG+w9cT48IPa8szAEDoDEgeoEf7PaomkU182ptGNq21Lc/279+vs88+W6+88op++OEHbd++XW+++abmzJnjnddc6s0339QLL7ygX375RXfffbdWr16tm266SZI0YsQINW7cWBdddJG+/PJLbd++XStWrNAtt9yiP/74I6haOnTooEGDBun666/Xt99+q7Vr1+q666477J7om2++WR9++KEeffRRbd26VfPnz9dHH31U6aKg8+fP17hx47R06VKlpaXpxx9/1JQpU/Tjjz9qyJAhkqSpU6dqzZo1Gj9+vH744Qf9/PPPeuaZZ/TXX38pKipK48aN0+23366PP/5Ymzdv1tixY5WXl+ed6+5PTEyMJk+erIkTJ+rFF19UWlqa1q1bp6eeekovvvjiYX0OAID6jSHrJhvUJUnndErU6u0HlJ5doCYxJcPU6RkHgKPHgOQBOqvFWVqXvk778vYpITJBKU1Saq1nPDo6Wj169NBjjz3mnffcokULjR07Vv/85z99zp05c6YWLVqk8ePHKykpSa+//rq3tzcyMlJffPGFpkyZoksuuUTZ2dlq3ry5+vfvX62FThcuXKjrrrtOffv2VdOmTTVr1qwqV0SvyplnnukdZj59+nQNHDhQEydO1Lx58wJe0717d3311Ve64YYbtGvXLkVHR6tz585asmSJd6Xz9u3ba+nSpfrnP/+p7t27KyIiQj169NAVV1whSXrwwQfl8Xh01VVXKTs7W6eeeqr+97//qUGDBpXWe9999ykhIUGzZ8/Wr7/+qvj4eKWkpFT4+wAAoDpYZR0AcEw7lle7Lruy+bFg7Nix+vnnn/Xll1+aXcphO5Z/7gAAVWOVdQAAcFR75JFHdM455ygqKkofffSRXnzxRT399NNmlwUAwBFDIAcAAKZYvXq15syZo+zsbLVp00ZPPvmkrrvuOrPLAgDgiCGQAwBQR9X1WWdvvPGG2SUAAGAqVlkHAAAAAMAEBHIAQL1Q13uTUbfw8wYACAaBHABwTLPZSrYmKywsNLkS1Cd5eXmSJIfDYXIlAICjGXPIAQDHNLvdrsjISO3bt08Oh0NWK7+LRu0xDEN5eXlKT09XfHy89xdCAAD4QyAHABzTLBaLkpKStH37dv32229ml4N6Ij4+XomJiWaXAQA4yhHIAQDHvLCwMLVr145h6zgiHA4HPeMAgKAQyAEA9YLValV4eLjZZQAAAHgxkQ4AAAAAABMQyAEAAAAAMAGBHAAAAAAAExzzc8gNw5AkZWVlmVwJAAAAAKA+KM2fpXk0kGM+kGdnZ0uSWrRoYXIlAAAAAID6JDs7W3FxcQGPW4yqInsd5/F4tGvXLsXExMhisZhdTkBZWVlq0aKFfv/9d8XGxppdDgAAAAAcdepKbjIMQ9nZ2WrWrJms1sAzxY/5HnKr1arjjjvO7DKCFhsbe1T/YAEAAACA2epCbqqsZ7wUi7oBAAAAAGACAjkAAAAAACYgkB8lnE6n7r77bjmdTrNLAQAAAICj0rGWm475Rd0AAAAAADga0UMOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5HVcq1at9Pjjj5tdBgAAAACYYseOHbJYLFq/fr3ZpVQbgbwarr76alkslgpf27ZtM7s0AAAAAKgzSrPVDTfcUOHYjTfeKIvFoquvvvrIF3aEEciradCgQdq9e7fPV+vWrc0uCwAAAADqlBYtWmjRokXKz8/3thUUFOi1115Ty5YtTazsyCGQV5PT6VRiYqLPl81m07vvvquUlBSFh4erTZs2mjlzpoqLi73XWSwWzZ8/XxdccIEiIyN1wgknaNWqVdq2bZv69eunqKgo9ezZU2lpad5r0tLSdNFFF6lp06aKjo7WaaedpmXLllVaX0ZGhq677jolJCQoNjZWZ599tjZs2FBrnwcAAAAA1ERKSopatGihxYsXe9sWL16sli1bqlu3bt62jz/+WL169VJ8fLwaNWqkCy64wCc3+bNp0yadd955io6OVtOmTXXVVVfpr7/+qrX3UlME8hD48ssvNWrUKN16663avHmz5s+fr9TUVN1///0+5913330aNWqU1q9fr44dO+rKK6/U9ddfr6lTp+q7776TYRi66aabvOfn5OTo/PPP16effqrvv/9egwYN0pAhQ7Rz586AtVx22WVKT0/XRx99pLVr1yolJUX9+/fXgQMHau39AwAAAEBNXHPNNVq4cKH39QsvvKAxY8b4nJObm6tJkybpu+++06effiqr1aqLL75YHo/H7z0zMjJ09tlnq1u3bvruu+/08ccfa+/evRo+fHitvpcaMRC00aNHGzabzYiKivJ+XXrppUb//v2NBx54wOfcl19+2UhKSvK+lmRMnz7d+3rVqlWGJGPBggXettdff90IDw+vtIbOnTsbTz31lPd1cnKy8dhjjxmGYRhffvmlERsbaxQUFPhc07ZtW2P+/PnVfr8AAAAAUBtGjx5tXHTRRUZ6errhdDqNHTt2GDt27DDCw8ONffv2GRdddJExevRov9fu27fPkGRs3LjRMAzD2L59uyHJ+P777w3DMIz77rvPOPfcc32u+f333w1JxpYtW2rzbVWb3dTfBtRBZ511lp555hnv66ioKHXt2lUrV6706RF3u90qKChQXl6eIiMjJUldu3b1Hm/atKkk6cQTT/RpKygoUFZWlmJjY5WTk6N77rlHH3zwgXbv3q3i4mLl5+cH7CHfsGGDcnJy1KhRI5/2/Pz8Kod0AAAAAMCRlpCQoMGDBys1NVWGYWjw4MFq3Lixzzlbt27VXXfdpW+//VZ//fWXt2d8586d6tKlS4V7btiwQcuXL1d0dHSFY2lpaWrfvn3tvJkaIJBXU1RUlI4//niftpycHM2cOVOXXHJJhfPDw8O93zscDu/3FoslYFvpD9jkyZP1ySef6JFHHtHxxx+viIgIXXrppSosLPRbW05OjpKSkrRixYoKx+Lj44N7gwAAAABwBF1zzTXeqbv/+te/KhwfMmSIkpOT9fzzz6tZs2byeDzq0qVLpbloyJAheuihhyocS0pKCm3xh4lAHgIpKSnasmVLhaB+uFauXKmrr75aF198saSSH6wdO3ZUWseePXtkt9vVqlWrkNYCAAAAALVh0KBBKiwslMVi0cCBA32O7d+/X1u2bNHzzz+v3r17S5K++uqrSu+XkpKit99+W61atZLdfnRHXhZ1C4G77rpLL730kmbOnKkff/xRP/30kxYtWqTp06cf1n3btWunxYsXa/369dqwYYOuvPLKgAsXSNKAAQN0xhlnaOjQoVq6dKl27Nihr7/+WtOmTdN33313WLUAAAAAQG2w2Wz66aeftHnzZtlsNp9jDRo0UKNGjfTcc89p27Zt+uyzzzRp0qRK73fjjTfqwIEDuuKKK7RmzRqlpaXpf//7n8aMGSO3212bb6XaCOQhMHDgQL3//vtaunSpTjvtNJ1++ul67LHHlJycfFj3ffTRR9WgQQP17NlTQ4YM0cCBA5WSkhLwfIvFog8//FB9+vTRmDFj1L59e11++eX67bffvHPWAQAAAOBoExsbq9jY2ArtVqtVixYt0tq1a9WlSxdNnDhRDz/8cKX3atasmVauXCm3261zzz1XJ554oiZMmKD4+HhZrUdXBLYYhmGYXQQAAAAAAPXN0fXrAQAAAAAA6gkCOQAAAAAAJiCQAwAAAABgAgI5AAAAAAAmIJADAAAAAGACAjkAAAAAACYgkAMAAAAAYAICOQAAAAAAJiCQAwCAGuvXr58mTJhgdhkAANRJBHIAAOq4PXv26NZbb9Xxxx+v8PBwNW3aVGeeeaaeeeYZ5eXlmV0eAAAIwG52AQAAoOZ+/fVXnXnmmYqPj9cDDzygE088UU6nUxs3btRzzz2n5s2b68ILLzS7zIDcbrcsFousVvoIAAD1D//1AwCgDhs/frzsdru+++47DR8+XCeccILatGmjiy66SB988IGGDBkiScrIyNB1112nhIQExcbG6uyzz9aGDRu897nnnnt08skn6+WXX1arVq0UFxenyy+/XNnZ2d5zcnNzNWrUKEVHRyspKUlz586tUI/L5dLkyZPVvHlzRUVFqUePHlqxYoX3eGpqquLj4/Xee++pU6dOcjqd2rlzZ+19QAAAHMUI5AAA1FH79+/X0qVLdeONNyoqKsrvORaLRZJ02WWXKT09XR999JHWrl2rlJQU9e/fXwcOHPCem5aWpiVLluj999/X+++/r88//1wPPvig9/jtt9+uzz//XO+++66WLl2qFStWaN26dT7Pu+mmm7Rq1SotWrRIP/zwgy677DINGjRIW7du9Z6Tl5enhx56SP/+97/1448/qkmTJqH8WAAAqDMYsg4AQB21bds2GYahDh06+LQ3btxYBQUFkqQbb7xRQ4YM0erVq5Weni6n0ylJeuSRR7RkyRK99dZb+sc//iFJ8ng8Sk1NVUxMjCTpqquu0qeffqr7779fOTk5WrBggV555RX1799fkvTiiy/quOOO8z53586dWrhwoXbu3KlmzZpJkiZPnqyPP/5YCxcu1AMPPCBJKioq0tNPP62TTjqpFj8dAACOfgRyAACOMatXr5bH49GIESPkcrm0YcMG5eTkqFGjRj7n5efnKy0tzfu6VatW3jAuSUlJSUpPT5dU0nteWFioHj16eI83bNjQ55cBGzdulNvtVvv27X2e43K5fJ4dFhamrl27hubNAgBQhxHIAQCoo44//nhZLBZt2bLFp71NmzaSpIiICElSTk6OkpKSfOZyl4qPj/d+73A4fI5ZLBZ5PJ6g68nJyZHNZtPatWtls9l8jkVHR3u/j4iI8A6lBwCgPiOQAwBQRzVq1EjnnHOO5s2bp5tvvjngPPKUlBTt2bNHdrtdrVq1qtGz2rZtK4fDoW+//VYtW7aUJB08eFC//PKL+vbtK0nq1q2b3G630tPT1bt37xo9BwCA+oRF3QAAqMOefvppFRcX69RTT9V//vMf/fTTT9qyZYteeeUV/fzzz7LZbBowYIDOOOMMDR06VEuXLtWOHTv09ddfa9q0afruu++Cek50dLSuvfZa3X777frss8+0adMmXX311T7blbVv314jRozQqFGjtHjxYm3fvl2rV6/W7Nmz9cEHH9TWRwAAQJ1FDzkAAHVY27Zt9f333+uBBx7Q1KlT9ccff8jpdKpTp06aPHmyxo8fL4vFog8//FDTpk3TmDFjtG/fPiUmJqpPnz5q2rRp0M96+OGHlZOToyFDhigmJka33XabMjMzfc5ZuHChZs2apdtuu01//vmnGjdurNNPP10XXHBBqN86AAB1nsUwDMPsIgAAAAAAqG8Ysg4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJ/h/D8kYUdQtSsgAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "8Ud-T0ehowM9"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "oE2m3jkuowQA"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Histograms"
      ],
      "metadata": {
        "id": "fyC5irF9owTj"
      },
      "execution_count": 44,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(14, 10))  # Create a new figure for histograms with specified size\n",
        "plt.subplot(2, 3, 1)  # Create the first subplot for histograms\n",
        "sns.histplot(df['Age'], kde=True)  # Create a histogram of Age with a KDE curve\n",
        "plt.title('Histogram of Age')  # Set the title of the plot\n",
        "plt.subplot(2, 3, 2)  # Create the second subplot for histograms\n",
        "sns.histplot(df['Annual Income (k$)'], kde=True)  # Create a histogram of Annual Income with a KDE curve\n",
        "plt.title('Histogram of Annual Income')  # Set the title of the plot\n",
        "plt.subplot(2, 3, 3)  # Create the third subplot for histograms\n",
        "sns.histplot(df['Spending Score (1-100)'], kde=True)  # Create a histogram of Spending Score with a KDE curve\n",
        "plt.title('Histogram of Spending Score')  # Set the title of the plot\n",
        "plt.show()  # Display the plots"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 372
        },
        "id": "xypzd1o6owWu",
        "outputId": "4a8bc4cd-6534-4658-df4c-dd8179d82268"
      },
      "execution_count": 45,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1400x1000 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "lYds6er1owZT"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "1CKCthB_owcH"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Correlation Heatmap"
      ],
      "metadata": {
        "id": "ggSB7i95oVJs"
      },
      "execution_count": 46,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(16, 12))\n",
        "plt.subplot(2, 3, 4)  # Create the fourth subplot for the correlation heatmap\n",
        "sns.heatmap(df[['Age', 'Annual Income (k$)', 'Spending Score (1-100)']].corr(), annot=True, cmap='coolwarm', fmt='.2f')  # Create a heatmap of correlations between features\n",
        "plt.title('Correlation Heatmap')  # Set the title of the plot\n",
        "plt.tight_layout()  # Adjust the layout to prevent overlap of subplots\n",
        "pdf_pages.savefig()  # Save the current figure to the PDF file\n",
        "plt.show()  # Display the plots"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 712
        },
        "id": "ILfQBCnpmR7L",
        "outputId": "622fbd42-4925-49ea-867e-0fe3ae1376cd"
      },
      "execution_count": 59,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1200 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "uzgXfR6-mAiS"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "nQ08re3Fe_Y5"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "7lT4GvXgerg4"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# <span style=\"color: #1E90FF;\">**4. Data Preprocessing**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**4.1 Purpose**</span>\n",
        "Data preprocessing involves cleaning and preparing the dataset for clustering. This includes handling missing values, removing duplicates, and encoding categorical variables.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**4.2 Operations**</span>\n",
        "- **Fill Missing Values**: Apply forward fill to handle any potential missing values.\n",
        "- **Remove Duplicates**: Eliminate duplicate rows to ensure data integrity.\n",
        "- **Encode Categorical Variables**: Convert categorical variables into numerical format."
      ],
      "metadata": {
        "id": "PZM9ibGuvWdU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Data Preprocessing"
      ],
      "metadata": {
        "id": "W7P1YsD8aTrp"
      },
      "execution_count": 48,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Fill missing values (if any, though we already know there are none)"
      ],
      "metadata": {
        "id": "R2knCEsxaTuq"
      },
      "execution_count": 49,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df.fillna(method='ffill', inplace=True)  # Forward fill missing values (if any) in the DataFrame"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bRQaUl3paTzZ",
        "outputId": "352fccef-0a60-44c3-d7ad-59a98a302ad0"
      },
      "execution_count": 50,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "<ipython-input-50-269a6c8095eb>:1: FutureWarning: DataFrame.fillna with 'method' is deprecated and will raise in a future version. Use obj.ffill() or obj.bfill() instead.\n",
            "  df.fillna(method='ffill', inplace=True)  # Forward fill missing values (if any) in the DataFrame\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "r5QD-xVpaT2A"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Remove duplicates"
      ],
      "metadata": {
        "id": "BniVRqeIaT3x"
      },
      "execution_count": 51,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df.drop_duplicates(inplace=True)  # Remove duplicate rows from the DataFrame"
      ],
      "metadata": {
        "id": "EvatGmvPaT6f"
      },
      "execution_count": 52,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "_oqR9qNcaT_i"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Encode the Gender column"
      ],
      "metadata": {
        "id": "Ldd_9QjSaUEn"
      },
      "execution_count": 53,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "label_encoder = LabelEncoder()  # Initialize the LabelEncoder"
      ],
      "metadata": {
        "id": "4F3pCRm3aUHP"
      },
      "execution_count": 60,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df['Gender'] = label_encoder.fit_transform(df['Gender'])  # Encode the Gender column with numerical values"
      ],
      "metadata": {
        "id": "8ExiG96IaUOJ"
      },
      "execution_count": 61,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "bQuhEoUXaUSn"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Select features for clustering"
      ],
      "metadata": {
        "id": "9Q4Ku0RLaUVb"
      },
      "execution_count": 62,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "features = df[['Age', 'Annual Income (k$)', 'Spending Score (1-100)']]  # Select relevant features for clustering"
      ],
      "metadata": {
        "id": "dI6ONJ_UaUZi"
      },
      "execution_count": 63,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "cHLuhc7IaUb_"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Normalize the features"
      ],
      "metadata": {
        "id": "FyR6L1vZr3po"
      },
      "execution_count": 64,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "scaler = StandardScaler()  # Initialize the StandardScaler"
      ],
      "metadata": {
        "id": "4IvkkcVIr3tk"
      },
      "execution_count": 65,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "features_scaled = scaler.fit_transform(features)  # Scale the features to have zero mean and unit variance"
      ],
      "metadata": {
        "id": "KYBzGCAGr3xN"
      },
      "execution_count": 66,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "mZpIKYG9r3z-"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "lo7D0nXqr34b"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "frnEZ1Qmr4Of"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# <span style=\"color: #1E90FF;\">**5. Clustering (K-Means) and Evaluation**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**5.1 Purpose**</span>\n",
        "This step involves applying the K-Means clustering algorithm to segment the dataset into clusters and evaluating the clustering performance using the silhouette score.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**5.2 Operations**</span>\n",
        "- **Elbow Method**: Determine the optimal number of clusters by plotting WCSS values.\n",
        "- **Apply K-Means**: Perform clustering using the optimal number of clusters.\n",
        "- **Evaluate Clustering**: Calculate the silhouette score to assess clustering quality.\n",
        "- **Visualize Clusters**: Plot the clusters to visualize the segmentation."
      ],
      "metadata": {
        "id": "tbdPuoMwvagn"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Clustering (K-Means) and Evaluation"
      ],
      "metadata": {
        "id": "6y4qgHCXr_hf"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Find the optimal number of clusters using the Elbow Method"
      ],
      "metadata": {
        "id": "-2keZQFYaUig"
      },
      "execution_count": 68,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "wcss = []  # Initialize an empty list to store WCSS values"
      ],
      "metadata": {
        "id": "SUZNacAsaUkp"
      },
      "execution_count": 69,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "for i in range(1, 11):  # Iterate over a range of cluster numbers\n",
        "    kmeans = KMeans(n_clusters=i, init='k-means++', max_iter=300, n_init=10, random_state=0)  # Initialize KMeans with i clusters\n",
        "    kmeans.fit(features_scaled)  # Fit KMeans to the scaled features\n",
        "    wcss.append(kmeans.inertia_)  # Append the WCSS value to the list"
      ],
      "metadata": {
        "id": "BUpfw-qLaUm7"
      },
      "execution_count": 70,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "wk9GXNtAaUpM"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Plot the Elbow Method graph"
      ],
      "metadata": {
        "id": "jJ9i5BmTaUt5"
      },
      "execution_count": 71,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(10, 6))  # Create a new figure for the Elbow Method plot with specified size\n",
        "plt.plot(range(1, 11), wcss, marker='o')  # Plot the WCSS values against the number of clusters\n",
        "plt.title('Elbow Method for Optimal Number of Clusters')  # Set the title of the plot\n",
        "plt.xlabel('Number of Clusters')  # Set the x-axis label\n",
        "plt.ylabel('WCSS')  # Set the y-axis label\n",
        "pdf_pages.savefig()  # Save the current figure to the PDF file\n",
        "plt.show()  # Display the plot"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "G3deLBrAaUwP",
        "outputId": "637d3290-013f-4a1f-94b8-92b488f4fdfd"
      },
      "execution_count": 72,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "uPhoiGMkaUyn"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "4Dk-dA2aaU0w"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Apply K-Means clustering"
      ],
      "metadata": {
        "id": "qbpPAYMVaU6H"
      },
      "execution_count": 73,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "optimal_clusters = 5  # Based on the Elbow Method, set the number of clusters to 5"
      ],
      "metadata": {
        "id": "kvXZjKTDaU8v"
      },
      "execution_count": 74,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "kmeans = KMeans(n_clusters=optimal_clusters, init='k-means++', max_iter=300, n_init=10, random_state=0)  # Initialize KMeans with optimal_clusters\n"
      ],
      "metadata": {
        "id": "Ze50kKaCaU_E"
      },
      "execution_count": 75,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df['Cluster'] = kmeans.fit_predict(features_scaled)  # Fit KMeans to the scaled features and assign cluster labels to the DataFrame\n"
      ],
      "metadata": {
        "id": "gAWBz8z2aVBJ"
      },
      "execution_count": 76,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "sB0vYGsesaKo"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Evaluate clustering performance using Silhouette Score"
      ],
      "metadata": {
        "id": "UdfMF3I7saN1"
      },
      "execution_count": 77,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "silhouette_avg = silhouette_score(features_scaled, df['Cluster'])  # Calculate the average silhouette score"
      ],
      "metadata": {
        "id": "vw2n8LhWsaQm"
      },
      "execution_count": 78,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(f\"\\nSilhouette Score for {optimal_clusters} Clusters: {silhouette_avg:.2f}\")  # Print the silhouette score"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "oSGUVGRBsaTH",
        "outputId": "ed73bc46-495e-4fce-b9f2-343a68d422ca"
      },
      "execution_count": 79,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "Silhouette Score for 5 Clusters: 0.42\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "lp84eM0gsgOC"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "eX4N9ZTlta0P"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# <span style=\"color: #1E90FF;\">**6. Visualization of Clustering Results**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**6.1 Purpose**</span>\n",
        "Visualizing the clustering results is crucial for interpreting how well the data has been segmented into different clusters. It allows you to assess the clustering performance and understand the distribution of data points across clusters.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**6.2 Elbow Method Plot**</span>\n",
        "- **Description**: The Elbow Method plot helps in determining the optimal number of clusters by plotting the Within-Cluster Sum of Squares (WCSS) against the number of clusters. The \"elbow\" point on the graph indicates the ideal number of clusters to use.\n",
        "- **Importance**: Identifying the elbow point helps to choose the number of clusters where adding more clusters does not significantly improve the model's performance.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**6.3 Clustering Visualization**</span>\n",
        "- **Description**: A scatter plot visualizing the clusters created by the K-Means algorithm. The plot displays data points with colors representing different clusters.\n",
        "- **Features**: The scatter plot uses `Age` and `Annual Income (k$)` as axes, with data points colored based on their assigned cluster.\n",
        "- **Purpose**: This visualization helps in understanding the distribution and separation of clusters, making it easier to interpret clustering results.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**6.4 Silhouette Score**</span>\n",
        "- **Description**: The silhouette score measures how similar each data point is to its own cluster compared to other clusters. It ranges from -1 to +1, where a higher score indicates better-defined clusters.\n",
        "- **Importance**: Provides an evaluation of clustering quality, helping to understand how well-separated the clusters are.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**6.5 Saving Visualizations**</span>\n",
        "- **Description**: All visualizations are saved into a PDF file for documentation and further analysis. This includes plots such as the Elbow Method graph and cluster scatter plot.\n",
        "- **Purpose**: Saving visualizations ensures that results can be reviewed and shared effectively."
      ],
      "metadata": {
        "id": "QNATgqWqvh6g"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#  Visualization of Predictions"
      ],
      "metadata": {
        "id": "wsrrbt09tb2m"
      },
      "execution_count": 80,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Box Plots by Cluster"
      ],
      "metadata": {
        "id": "c-H8Yw5etiUP"
      },
      "execution_count": 81,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(16, 12))  # Set the figure size for the box plots\n",
        "plt.subplot(2, 3, 1)  # Create the first subplot for Age\n",
        "sns.boxplot(x='Cluster', y='Age', data=df)  # Plot the box plot for Age by Cluster\n",
        "plt.title('Box Plot of Age by Cluster')  # Set the title for the Age box plot\n",
        "plt.subplot(2, 3, 2)  # Create the second subplot for Annual Income\n",
        "sns.boxplot(x='Cluster', y='Annual Income (k$)', data=df)  # Plot the box plot for Annual Income by Cluster\n",
        "plt.title('Box Plot of Annual Income by Cluster')  # Set the title for the Annual Income box plot\n",
        "plt.subplot(2, 3, 3)  # Create the third subplot for Spending Score\n",
        "sns.boxplot(x='Cluster', y='Spending Score (1-100)', data=df)  # Plot the box plot for Spending Score by Cluster\n",
        "plt.title('Box Plot of Spending Score by Cluster')  # Set the title for the Spending Score box plot\n",
        "plt.show()  # Display the box plots,"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 381
        },
        "id": "LwB2yALptlpB",
        "outputId": "2180f689-1268-448c-e9a1-2e1bf6fe5765"
      },
      "execution_count": 83,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x1200 with 3 Axes>"
            ],
            "image/png": 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d3lybOHGipk2bpmeeeUZNmjRRYmKi9u3bpwMHDuiBBx7QwIEDderUKW3ZskXvvfdehu1v5VwePXpUTz75pAYOHKj+/furRo0a+X582WYA11i6dKkhKcPDzc3NWLZsmcO669atMyQZU6ZMcSh/9NFHDYvFYhw/ftxeNmbMGMPJycnYsWOHsWbNGkOSMXv27JvGs23bNkOS8e677xp//fWXcerUKeOLL74wKlWqZFgsFmPv3r2GYRhGdHS0IclYunSpfdv69esbFStWNP755x972aFDhwwnJyejZ8+e9rLXXnvNkGRER0ffNJ7Lly8bFStWNO666y7j0qVL9vLPP//ckGSMHz/eXpZ+LtNjvJl9+/YZkowtW7YYhmEYaWlpxp133mk8//zzDuutXbs2w/lLTU01WrduneEctGnTxqhbt66RlJRkL0tLSzPuvfdeo1q1ajeMJ/2cenh4GH/88Ye9fM+ePYYkY8SIEfayJ5980vD39zdSU1PtZQcOHMgQz/VsNpshyejUqdMNY7lWUFCQ0atXL/vzCRMmGJl9lKWf//TX9ZNPPrnp6/HXX38ZkowJEyZkWJbdc5leb/PmzY0rV65k+7iAwo724cYKQ/uQfqzlypUzzp49ay//9NNPDUnG+vXr7WW9evUyJBmTJ0922EeDBg2Mhg0b2p+nn+dt27ZlWte15/XixYsZYv/ggw8MScaOHTsyHP/Nzmv65/tff/1lL2vZsqUhyVixYoW9LDk52fD19TW6du1qL3v33XcNScabb76ZYb9paWmGYdza+zT9vX5tzG+//bYhyfD19TUSExPt5WPGjHE4vrS0NKNatWpGWFiYvW7DuHq+goODjQceeOCG5yH9Nbjjjjsc6lm9erUhyZgzZ469LCQkxGjatKnD9h9//HGmr+G1Dh06ZEjK8J66kevby169ehlBQUEZ1ru+nZ41a1aG1/V6e/fuzfQ7xK2cy/R6n3zyyWwfE4o/2rIby6+2bPPmzYazs7Ph7OxshISEGC+99JKxadMm4/LlyxnWTX9N9u3bZy+LiYkx3N3djUceecRe1q9fP8PPz8/4+++/Hbbv1q2bYbVa7W1S+jmuVauWkZycbF9vzpw5hiTjxx9/dDj2+vXrO6wXERFhSDJatmxpL8vs9chuu3orv+Uy89NPPxkeHh6GJKN+/frG888/b6xbt864cOGCw3oJCQlGmTJljKZNmzq8lobxf+3grbze6cc3evRoh319++23hiQjMjLSoXzjxo2Zll8vfb9Dhw51iK99+/aGq6urva04evSoIclYuHChw/YPP/ywUalSJYc24XojRowwJBk//PDDDWNJl9n3lKx+I17/2/Tuu+822rdvf8P9DxkyJNPfr7dyLoOCggxJxsaNG7N1TAWNW6eRqfnz52vLli3asmWL3n//fd1///165pln7L2/pKuDmDo7O2vYsGEO244aNUqGYTjM3DZx4kTVqVNHvXr10uDBg9WyZcsM291I3759VaFCBfn7+6t9+/a6cOGCli9f7jC2yrVOnz6tgwcPqnfv3g5XPOrVq6cHHnhAX375Zbbrvta+fft05swZDR482KFXQPv27VWzZs1cjSUYGRkpHx8f3X///ZKudqV+4okntGrVKofu9hs3bpSLi4v69+9vL3NycrL3sEh39uxZff3113r88cd17tw5/f333/r777/1zz//KCwsTMeOHbvhLc3pOnfu7NAjsUmTJmratKnDOezZs6dOnTqlbdu2ORyPh4eHunbtmuW+ExMTJSnTW7TyWvrVuM8//1wpKSm3tG1OzmX//v1zdAUbKOxoHzJXGNqHdE888YTKli1rf57eIyyzGUyfffZZh+f33Xdfjmc6vXZcoKSkJP3999+65557JEkHDhzI0T4zU7p0aYeeC66urmrSpIlD3GvXrlX58uUznWAgvWflrbxPJalNmzYOtwanz/7dtWtXh3YsvTw9noMHD+rYsWN66qmn9M8//9jbkAsXLqhNmzbasWOH0tLSbnrcPXv2dKjn0UcflZ+fX4b2eM+ePQ63h0dGRiogIEAtW7bMct9mtMeffvppto77Wjk5l9e/xwGJtiwr+dWWPfDAA4qKitLDDz+sQ4cOaebMmQoLC9Mdd9yR6ZBOISEhatiwof15YGCgOnXqpE2bNik1NVWGYWjt2rXq2LGjDMOwfxb8/fffCgsLk81my9Du9OnTR66urvbn17eN6cf+7LPPOqzXu3dvWa3WbB/rzdrV7P6Wy0qdOnV08OBBPf300/rtt980Z84cde7cWT4+Plq8eLF9vS1btujcuXMaPXp0ht7s6e1gTl7v6+94WLNmjaxWqx544AGH16Fhw4YqXbq0w+/DG7m2J356L9XLly/rq6++kiRVr15dTZs2dRg65uzZs9qwYYO6d+9+w7smCrqN+/nnn3Xs2LFb3vZWz2VwcLDCwsLyKvQ8RaIRmWrSpIlCQ0MVGhqq7t2764svvlDt2rXt/+ElKSYmRv7+/hn+w9aqVcu+PJ2rq6veffddRUdH69y5c/Zx/bJr/Pjx2rJli77++msdPnxYp06dumHX5/S6M+s+XKtWLfuX0lt1o/3WrFnT4ZhvRWpqqlatWqX7779f0dHROn78uI4fP66mTZsqPj5eW7dudYjBz8/P3lU93fWzjx4/flyGYWjcuHGqUKGCwyN9AoHsDBhcrVq1DGXVq1d3GNvlgQcekJ+fn/2DPy0tTR988IE6dep0ww90T09PSdK5c+duGkdutWzZUl27dtWkSZNUvnx5derUSUuXLlVycvJNt83JuQwODs6X4wDMRvtw6/stqPYh3fW3vqYnHa8f38fd3T3D7XNly5a9pTGVrnX27Fk9//zz8vHxkYeHhypUqGD/LLTZbDnaZ2buvPPODO+R6+M+ceKEatSokWG8tWvdyvtUynhe0394Xn87XXp5ejzpPzZ69eqVoQ155513lJycnK3zc317bLFYVLVqVYf2+IknnpCbm5u9PbbZbPr8889v+iOsINvjJ554Qs2aNdMzzzwjHx8fdevWTatXr85W0jEn55L2GJmhLbv1/eamLZOujuX48ccf699//9X333+vMWPG6Ny5c3r00Ud15MgRh3Wz+v1x8eJF/fXXX/rrr7+UkJCgiIiIDJ8Fffr0kZTxu/nN2sb0Y7u+bhcXF1WuXDlbx5iddjW7v+VupHr16nrvvff0999/6/Dhw5o6dapKlCihAQMG2BNz6RecbnSr+q2+3iVKlMgwjuGxY8dks9lUsWLFDK/F+fPns/V708nJKcM5rl69uiQ5tHE9e/bUzp077XGtWbNGKSkpN70luiDbuMmTJyshIUHVq1dX3bp19eKLL+rw4cPZ2vZWz2Vhbt8YoxHZ4uTkpPvvv19z5szRsWPHVKdOnVvex6ZNmyRd7eVw7NixW/qPUbduXYWGht5ynUXF119/rdOnT2vVqlVatWpVhuWRkZF68MEHb2mf6V/YX3jhhSyvdNxKg3Yjzs7Oeuqpp7R48WItWLBAO3fu1KlTp244VoZ09UPf398/V7NYZvUl7vpePhaLRR999JF2796t9evXa9OmTerbt6/eeOMN7d69W6VLl86yjpycy8Iy4xeQ32gf8ldO2oeselMb141Pl51e19n9jJWkxx9/XLt27dKLL76o+vXrq3Tp0kpLS9NDDz10yz3XbiS7x5fXsqr3ZvGkH/trr72m+vXrZ7rujdqgW1G2bFl16NBBkZGRGj9+vD766CMlJyfftD2uWrWqSpQoYZ/cJiey+17x8PDQjh07tG3bNn3xxRfauHGjPvzwQ7Vu3VqbN2++4fsyJ+eS9hjZQVtWcFxdXdW4cWM1btxY1atXV58+fbRmzRr7xfvsSP8sePrpp7Mc2zB9nPV0BdF2FPTdTM7Ozqpbt67q1q2rkJAQ3X///YqMjMy395Kbm5ucnBz7qqWlpalixYpZTmJ6o/FAb1W3bt00YsQIRUZG6pVXXtH777+vRo0a3XRswpo1a0qSfvzxxyzbjpy6vo1r0aKFTpw4oU8//VSbN2/WO++8o1mzZmnRokV65plnbrivWz2Xhbl9I9GIbLty5Yok6fz585L+byDac+fOOVzp+9///mdfnu7w4cOaPHmy+vTpo4MHD+qZZ57Rjz/+eEvd0G9Fet1Hjx7NsOx///ufypcvr1KlSknK+ovxzfZ7/eC7R48ezXT2r+yIjIxUxYoV7TNQXevjjz/WJ598okWLFsnDw0NBQUHatm2bLl686HAl7PpZ09KvCrm4uOSqscms2/evv/6aYWbJnj176o033tD69eu1YcMGVahQIVtduTt06KCIiAhFRUUpJCTkluNLvxqZkJDgMFhxVldc77nnHt1zzz0KDw/XypUr1b17d61atUrPPPNMlu+FvDqXQHFF+1A42of8cO1n7LWu/4z9999/tXXrVk2aNEnjx4+3l+fk1qG8UKVKFe3Zs0cpKSlZDkJ/K+/T3MYiXb24lpftsWEYOn78eIYf0z179lSnTp20d+9e+0RtN0ualCxZUq1bt9bXX3+t33//PVuTHlyvbNmyGd4nUubtsZOTk9q0aaM2bdrozTff1NSpUzV27Fht27ZNoaGhWf7fy6tzCWSGtiz/2rKspN8afvr0aYfyrH5/lCxZ0p5sKVOmjFJTU/PssyD92I4dO+Zw7CkpKYqOjtbdd9+dZ/Vk57fcrbr+XKZ/Xv70009Zdi7Ji9e7SpUq+uqrr9SsWbMcfxdJS0vTyZMn7b0YpauvtySH35ze3t5q3769IiMj1b17d+3cuVOzZ8++6f7btm0rZ2dnvf/++zmeECazNu7y5csZ3rvpcfbp00d9+vTR+fPn1aJFC02cONGeaLxRG5fbc1lYcOs0siUlJUWbN2+Wq6ur/XaBdu3aKTU1VW+99ZbDurNmzZLFYrHP/JiSkqLevXvL399fc+bM0bJlyxQfH68RI0bkW7x+fn6qX7++li9f7vCB8NNPP2nz5s1q166dvSy9Ec7sy/H1GjVqpIoVK2rRokUOt9xu2LBBv/zyi9q3b3/LsV66dEkff/yxOnTooEcffTTD47nnntO5c+fs45eEhYUpJSXFYQyOtLS0DD9CK1asqFatWuntt9/O9APwr7/+ylZ869atcxh/8Pvvv9eePXvsr2+6evXqqV69enrnnXe0du1adevW7Ya3rKV76aWXVKpUKT3zzDOKj4/PsPzEiROaM2dOltunN6I7duywl6WPa3Otf//9N8MVy/QrWumvZXpjf/17Ia/OJVAc0T5cVRjah/wQFBQkZ2dnh89YSVqwYIHD8/ReHNd/zmbnB0B+6Nq1q/7+++8M70Hp/2LM7vs0txo2bKgqVaro9ddftycwrpXdNmTFihUOt3199NFHOn36dIY427Ztq/Lly2vGjBnavn37TXszppswYYIMw1CPHj0yjXP//v0Z2tZrValSRTabzeEWsdOnT+uTTz5xWO/s2bMZtr2+Pc7q/15enUvgerRlV+VHWyZJ27Zty7TnYPpYktf3SIuKinIYY/H333/Xp59+qgcffFDOzs5ydnZW165dtXbt2kzvjMrJZ0GjRo1UoUIFLVq0yH77vHR1VubsnLvsyu5vuax8++23mY43f/25fPDBB1WmTBlNmzZNSUlJDuumvxZ58Xo//vjjSk1N1X//+98My65cuZLtc3ft/zPDMPTWW2/JxcVFbdq0cVivR48eOnLkiF588UU5OzurW7duN913QECA+vfvr82bN2vevHkZlqelpemNN97QH3/8keU+qlSpkuG7UERERIYejf/884/D89KlS6tq1aoO5zer/5N5dS4LA3o0IlMbNmywX607c+aMVq5cqWPHjmn06NH2MQ46duyo+++/X2PHjtVvv/2mu+++W5s3b9ann36q4cOH2xNAU6ZM0cGDB7V161aVKVNG9erV0/jx4/Xqq6/q0UcfdWgI89Jrr72mtm3bKiQkRP369dOlS5c0b948Wa1WTZw40b5e+kDDY8eOVbdu3eTi4qKOHTvaPwCu5eLiohkzZqhPnz5q2bKlnnzyScXHx2vOnDmqVKlSjr5QfPbZZzp37pwefvjhTJffc889qlChgiIjI/XEE0+oc+fOatKkiUaNGqXjx4+rZs2a+uyzz+xf3K+9QjJ//nw1b95cdevWVf/+/VW5cmXFx8crKipKf/zxhw4dOnTT+KpWrarmzZtr0KBBSk5O1uzZs1WuXDm99NJLGdbt2bOnXnjhBUnK9g+bKlWqaOXKlXriiSdUq1Yt9ezZU3fddZcuX76sXbt2ac2aNerdu3eW2z/44IMKDAxUv3797A3Ou+++qwoVKig2Nta+3vLly7VgwQI98sgjqlKlis6dO6fFixfL09PT/h708PBQ7dq19eGHH6p69ery9vbWXXfdpbvuuitPziVQHNA+FN72IT9YrVY99thjmjdvniwWi6pUqaLPP/88wzhBnp6eatGihWbOnKmUlBTdcccd2rx5s6Kjo/Mlrpvp2bOnVqxYoZEjR+r777/XfffdpwsXLuirr77S4MGD1alTp2y/T3PLyclJ77zzjtq2bas6deqoT58+uuOOO/Tnn39q27Zt8vT01Pr162+6H29vbzVv3lx9+vRRfHy8Zs+erapVqzpMKCBdfS9269ZNb731lpydnfXkk09mK857771X8+fP1+DBg1WzZk316NFD1apV07lz5/TNN9/os88+05QpU7Lcvlu3bnr55Zf1yCOPaNiwYbp48aIWLlyo6tWrOyQMJk+erB07dqh9+/YKCgrSmTNntGDBAt15551q3ry5pKvfDby8vLRo0SKVKVNGpUqVUtOmTRUcHJwn5xKgLSu4tkyShg4dqosXL+qRRx5RzZo17d/zP/zwQ1WqVMk+rmK6u+66S2FhYRo2bJjc3NzsF7cmTZpkX2f69Onatm2bmjZtqv79+6t27do6e/asDhw4oK+++irTixo34uLioilTpmjgwIFq3bq1nnjiCUVHR2vp0qXZHqMxO27lt1xmZsyYof3796tLly72Hu0HDhzQihUr5O3treHDh0u62i7PmjVLzzzzjBo3bqynnnpKZcuW1aFDh3Tx4kUtX748T17vli1bauDAgZo2bZoOHjyoBx98UC4uLjp27JjWrFmjOXPm6NFHH73hPtzd3bVx40b16tVLTZs21YYNG/TFF1/olVdeyXC7cPv27VWuXDmtWbNGbdu2VcWKFW8aoyS98cYbOnHihIYNG2a/iFu2bFnFxsZqzZo1+t///nfDpOUzzzyjZ599Vl27dtUDDzygQ4cOadOmTSpfvrzDerVr11arVq3UsGFDeXt7a9++ffroo48cJrtJ/z85bNgwhYWF2ROmeXEuC42CneQahV36VO7XPtzd3Y369esbCxcuzDBt/Llz54wRI0YY/v7+houLi1GtWjXjtddes6+3f/9+o0SJEg7T1RuGYVy5csVo3Lix4e/vb/z7779ZxrNt2zZDkrFmzZobxh0dHW1IMpYuXepQ/tVXXxnNmjUzPDw8DE9PT6Njx47GkSNHMmz/3//+17jjjjsMJyenDFPZZ+bDDz80GjRoYLi5uRne3t5G9+7djT/++MNhnfRzuXfv3hvuq2PHjoa7u7tx4cKFLNfp3bu34eLiYvz999+GYRjGX3/9ZTz11FNGmTJlDKvVavTu3dvYuXOnIclYtWqVw7YnTpwwevbsafj6+houLi7GHXfcYXTo0MH46KOPbhhX+jl97bXXjDfeeMMICAgw3NzcjPvuu884dOhQptucPn3acHZ2NqpXr37DfWfm119/Nfr3729UqlTJcHV1NcqUKWM0a9bMmDdvnpGUlGRfLygoyOjVq5fDtvv37zeaNm1quLq6GoGBgcabb75pP//pr+WBAweMJ5980ggMDDTc3NyMihUrGh06dDD27dvnsK9du3YZDRs2NFxdXQ1JxoQJE+zLsnMus/u6A0UN7UPhbx+u/dy+3vWfZ7169TJKlSqVYb0JEyYY1389/Ouvv4yuXbsaJUuWNMqWLWsMHDjQ+OmnnzKc1z/++MN45JFHDC8vL8NqtRqPPfaYcerUqQx1X//5nJX0WP766y97WcuWLY06depkWLdXr15GUFCQQ9nFixeNsWPHGsHBwYaLi4vh6+trPProo8aJEyfs69zsfZpOkjFkyBCHsqzOd1bvzR9++MHo0qWLUa5cOcPNzc0ICgoyHn/8cWPr1q03PA/p+/vggw+MMWPGGBUrVjQ8PDyM9u3bGzExMZlu8/333xuSjAcffPCG+87M/v37jaeeesp+TsqWLWu0adPGWL58uZGammpf7/rX1TAMY/PmzcZdd91luLq6GjVq1DDef//9DO+prVu3Gp06dTL8/f0NV1dXw9/f33jyySeNX3/91WFfn376qVG7dm2jRIkSGd5r2TmXmb1/ANqygm/LDMMwNmzYYPTt29eoWbOmUbp0acPV1dWoWrWqMXToUCM+Pt5h3fTP2/fff9+oVq2a4ebmZjRo0MDYtm1bhv3Gx8cbQ4YMMQICAuyf823atDEiIiLs62R1jrM6pwsWLDCCg4MNNzc3o1GjRsaOHTuMli1bGi1btrzhtrfarmb3t9z1du7caQwZMsS46667DKvVari4uBiBgYFG7969Hdq3dJ999plx77332t8jTZo0MT744AOHdbLzemd1fOkiIiKMhg0bGh4eHkaZMmWMunXrGi+99JJx6tSpGx5P+n5PnDhhPPjgg0bJkiUNHx8fY8KECQ5tzrUGDx5sSDJWrlx5w31f78qVK8Y777xj3HffffZzFxQUZPTp08f44Ycf7Otl9j0lNTXVePnll43y5csbJUuWNMLCwozjx49n+G06ZcoUo0mTJoaXl5fh4eFh1KxZ0wgPDzcuX77sEMfQoUONChUqGBaLJcP7IzvnMigoyGjfvv0tHX9BshhGPo+cDaBArFu3To888oi+++47NWvWzJQY/v77b/n5+Wn8+PEaN26cKTEAAHC7O3TokOrXr68VK1bkeDwqADCDxWLRkCFDMh36ojgrDL/liooRI0ZoyZIliouLyzB7NwoHxmgEiqBLly45PE9NTdW8efPk6emp//znPyZFdXUMk9TUVH7UAABgosWLF6t06dLq0qWL2aEAAK5TWH/LFQVJSUl6//331bVrV5KMhRhjNAJF0NChQ3Xp0iWFhIQoOTlZH3/8sXbt2qWpU6eaMkPV119/rSNHjig8PFydO3fOMCM1AADIf+vXr9eRI0cUERGh5557LtMx2AAA5ipsv+WKgjNnzuirr77SRx99pH/++UfPP/+82SHhBkg0AkVQ69at9cYbb+jzzz9XUlKSqlatqnnz5jkMMluQJk+erF27dqlZs2aZzuQFAADy39ChQxUfH6927do5TJoAACg8CttvuaLgyJEj6t69uypWrKi5c+eqfv36ZoeEG2CMRgAAAAAAAAC5xhiNAAAAAAAAAHKNRCMAAAAAAACAXCv2YzSmpaXp1KlTKlOmjCwWi9nhAABuwDAMnTt3Tv7+/nJy4lpYZmjXAKBooE27Odo0ACg6stuuFftE46lTpxQQEGB2GACAW/D777/rzjvvNDuMQol2DQCKFtq0rNGmAUDRc7N2rdgnGsuUKSPp6onw9PQ0ORoAwI0kJiYqICDA/tmNjGjXAKBooE27Odo0ACg6stuuFftEY3oXfE9PTxovACgiuH0qa7RrAFC00KZljTYNAIqem7VrDBYCAAAAAAAAINdINAIAAAAAAADINRKNAAAAAAAAAHKNRCMAANmwY8cOdezYUf7+/rJYLFq3bl2W6z777LOyWCyaPXu2Q/nZs2fVvXt3eXp6ysvLS/369dP58+fzN3AAAAAAKCAkGgEAyIYLFy7o7rvv1vz582+43ieffKLdu3fL398/w7Lu3bvr559/1pYtW/T5559rx44dGjBgQH6FDAAAAAAFqtjPOg0AQF5o27at2rZte8N1/vzzTw0dOlSbNm1S+/btHZb98ssv2rhxo/b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ZYn8+btw41apVS59//rnmzJmjkSNHaseOHSZGCDPYbDalXE7WpcotleZuNTucfOOUZJNObpfNZiPRCBQTTzzxhJ544gmlpKTo77//liSVL19eLi4uJkcGAMD/IdEIAChWYmNjZRiGjh8/rrJly9qfb9y4UREREfL09NSAAQMUGhqq2NhYSVJgYKDJUaOgpblblVaqvNlhFFrcXg4UXi4uLvLz8zM7DAAAMkWiEQBQrCxdulSSdPHiRW3YsEF79+7VH3/8oeTkZP3888/66aeflJaWpkuXLmnZsmWSpPHjx5sYMVC4cHs5UPScOHFC/fv319dff212KACA2xyJRgBAsTJhwgRJ0vr161WuXDlNmDBBL774olq0aGFPKEZHR+vdd98lwQhkgtvLgaLn/Pnz2r59u9lhAABAohEAUDy9/PLLeuqppzR9+nQ5OTlpy5Yt9mWffvqpmjdvbmJ0QOHH7eVA4TF37twbLv/zzz8LKBIAAG6MRCMAoFh67LHHdPfdd+vHH39Uw4YNValSJfuyWrVqqW3btuYFBwDALRg+fLj8/Pzk6uqa6fLLly8XcEQAAGSORCMAoNgKDg5W9erVM5SHhYXZZ+wEAKCwCwoK0owZM/T4449nuvzgwYNq2LBhAUcFAEBGTmYHAABAfunWrZsMw8hQHh8fr1atWhV8QAAA5EDDhg21f//+LJdbLJZM2zsAAAoaiUYAQLEVGxurZ555xqEsLi5OrVq1Us2aNU2KCgCAWzN58mQ99thjWS6vXbu2oqOjCzAiAAAyR6IRAFBsffnll9q1a5dGjhwpSTp16pRatmypunXravXq1SZHBwBA9tSuXVuNGjXKcrmLi4uCgoIKMCIAADLHGI0AgGKrQoUK2rx5s32G6c8//1z/+c9/FBkZKScnrrUBAIqu6dOn69lnn5WXl5fZoQAAYGfqr6yJEyfKYrE4PK69lS0pKUlDhgxRuXLlVLp0aXXt2lXx8fEmRgwAKGoCAgK0ZcsWRUZGqkmTJvrggw/k7OxsdlgAAOTK1KlTdfbsWbPDAADAgek9GuvUqaOvvvrK/rxEif8LacSIEfriiy+0Zs0aWa1WPffcc+rSpYt27txpRqgAgCKgbNmyslgsGcovXryo9evXq1y5cvYyfqABAIoqJn8BABRGpicaS5QoIV9f3wzlNptNS5Ys0cqVK9W6dWtJ0tKlS1WrVi3t3r1b99xzT0GHCgAoAmbPnm12CAAAAABwWzI90Xjs2DH5+/vL3d1dISEhmjZtmgIDA7V//36lpKQoNDTUvm7NmjUVGBioqKioLBONycnJSk5Otj9PTEzM92MAABQevXr1MjsEAADy3ZEjR+Tv7292GAAAODB1jMamTZtq2bJl2rhxoxYuXKjo6Gjdd999OnfunOLi4uTq6pphcGMfHx/FxcVluc9p06bJarXaHwEBAfl8FACAwuTChQv5uj4AAIVBQEAAYw4DAAodUxONbdu21WOPPaZ69eopLCxMX375pRISErR69eoc73PMmDGy2Wz2x++//56HEQMACruqVatq+vTpOn36dJbrGIahLVu2qG3btpo7d24BRgcAQN47dOhQviQd//zzTz399NMqV66cPDw8VLduXe3bt8++3DAMjR8/Xn5+fvLw8FBoaKiOHTuW53EAAIoO02+dvpaXl5eqV6+u48eP64EHHtDly5eVkJDg0KsxPj4+0zEd07m5ucnNza0AogUAFEbffPONXnnlFU2cOFF33323GjVqZB+i499//9WRI0cUFRWlEiVKaMyYMRo4cKDZIQMAkGt5PTnMv//+q2bNmun+++/Xhg0bVKFCBR07dkxly5a1rzNz5kzNnTtXy5cvV3BwsMaNG6ewsDAdOXJE7u7ueRoPAKBoKFSJxvPnz+vEiRPq0aOHGjZsKBcXF23dulVdu3aVJB09elSxsbEKCQkxOVIAQGFVo0YNrV27VrGxsVqzZo2+/fZb7dq1S5cuXVL58uXVoEEDLV68WG3btuWWMwBAkdClS5cbLrfZbLJYLHla54wZMxQQEKClS5fay4KDg+3/NgxDs2fP1quvvqpOnTpJklasWCEfHx+tW7dO3bp1y9N4AABFg6mJxhdeeEEdO3ZUUFCQTp06pQkTJsjZ2VlPPvmkrFar+vXrp5EjR8rb21uenp4aOnSoQkJCmHEaAHBTgYGBGjVqlEaNGmV2KAAA5Mr69ev1wAMPyMfHJ9PlqampeV7nZ599prCwMD322GPavn277rjjDg0ePFj9+/eXJEVHRysuLs5h8k6r1aqmTZsqKioq00RjQU3cmZSUpNjY2HzZ980EBgbSmxPAbc3UROMff/yhJ598Uv/8848qVKig5s2ba/fu3apQoYIkadasWXJyclLXrl2VnJyssLAwLViwwMyQAQAAAKBA1apVS127dlW/fv0yXX7w4EF9/vnneVrnyZMntXDhQo0cOVKvvPKK9u7dq2HDhsnV1VW9evWyT9B5ffLzRpN3Tps2TZMmTcrTODMTGxurAQMG5Hs9mYmIiFD16tVNqRsACgNTE42rVq264XJ3d3fNnz9f8+fPz9c4nJJs+br/wuB2OEYAAACgOGrYsKEOHDiQZaLRzc1NgYGBeVpnWlqaGjVqpKlTp0qSGjRooJ9++kmLFi1Sr169crTPMWPGaOTIkfbniYmJCggIyJN4rxUYGKiIiIgcbRsTE6Pw8HCNHTtWQUFBOaobAG5nhWqMxoJmtVrl4uomndxudigFwsXVTVar1ewwAAAAANyCRYsW3fD26Fq1aik6OjpP6/Tz81Pt2rUz1LN27VpJsk/QGR8fLz8/P/s68fHxql+/fqb7LKiJO93d3XPdqzAoKIieiQCQA7d1otHHx0fvv7dCNlvB9fbL7RWy3LBarVmO6wIAAACgcCqI5Nz1mjVrpqNHjzqU/frrr/bfMMHBwfL19dXWrVvticXExETt2bNHgwYNKuhwAQCFxG2daJSuJhvNSL5xhQwAAADAzVy4cEGlSpXKt/WzMmLECN17772aOnWqHn/8cX3//feKiIiw35JssVg0fPhwTZkyRdWqVVNwcLDGjRsnf39/de7cOdf1AwCKJiezAwAAID99++23evrppxUSEqI///xTkvTee+/pu+++MzkyAABurmrVqpo+fbpOnz6d5TqGYWjLli1q27at5s6dmyf1Nm7cWJ988ok++OAD3XXXXfrvf/+r2bNnq3v37vZ1XnrpJQ0dOlQDBgxQ48aNdf78eW3cuJFZlwHgNnbb92gEABRfa9euVY8ePdS9e3f98MMPSk5OliTZbDZNnTpVX375pckRAgBwY998841eeeUVTZw4UXfffbcaNWokf39/ubu7699//9WRI0cUFRWlEiVKaMyYMRo4cGCe1d2hQwd16NAhy+UWi0WTJ0/W5MmT86xOAEDRRqIRAFBsTZkyRYsWLVLPnj21atUqe3mzZs00ZcoUEyMDACB7atSoobVr1yo2NlZr1qzRt99+q127dunSpUsqX768GjRooMWLF6tt27ZydnY2O1yg2EhKSlJsbGyOto2JiXH4e6sCAwPpGVwIOV1KMDuEfJcXx0iiEQBQbB09elQtWrTIUG61WpWQkFDwAQEAkEOBgYEaNWqURo0aZXYowG0hNjZWAwYMyNU+wsPDc7RdREQEczoUQh7RO8wOoUgg0QgAKLZ8fX11/PhxVapUyaH8u+++U+XKlc0JCgAAAIVeYGCgffIjM+pG4XMpuIXSPLzMDiNfOV1KyHVClUQjAKDY6t+/v55//nm9++67slgsOnXqlKKiovTCCy9o3LhxZocHAACAQsrd3Z1ehXCQ5uGltFLlzQ6j0CPRCAAotkaPHq20tDS1adNGFy9eVIsWLeTm5qYXXnhBQ4cONTs8AAAAAChWSDQCAIoti8WisWPH6sUXX9Tx48d1/vx51a5dW6VLlzY7NAAAAAAodkg0AgCKPVdXV9WuXdvsMAAAAACgWCPRCAAotpKSkjRv3jxt27ZNZ86cUVpamsPyAwcOmBQZAAA58+233+rtt9/WiRMn9NFHH+mOO+7Qe++9p+DgYDVv3tzs8AAAtzkSjQCAYqtfv37avHmzHn30UTVp0kQWi8XskAAAyLG1a9eqR48e6t69u3744QclJydLkmw2m6ZOnaovv/zS5AgBALc7Eo24qfj4eNlstgKrLyYmxuFvQbFarfLx8SnQOm83TpcSzA4hXxX34yuKPv/8c3355Zdq1qyZ2aEAAJBrU6ZM0aJFi9SzZ0+tWrXKXt6sWTNNmTLFxMgAALiKRCNuKD4+Xk/36KmUy8kFXnd4eHiB1ufi6qb331tBsjEfeUTvMDsE3GbuuOMOlSlTxuwwAADIE0ePHlWLFi0ylFutViUkJBR8QAAAXIdEI27IZrMp5XKyLlVuqTR3q9nh5BunJJt0crtsNhuJxnx0KbiF0jy8zA4j3zhdSiCZWsi88cYbevnll7Vo0SIFBQWZHQ4AALni6+ur48ePq1KlSg7l3333nSpXrmxOUAAAXINEI7Ilzd2qtFLlzQ4DRVyahxfvIxSoRo0aKSkpSZUrV1bJkiXl4uLisPzs2bMmRQYAwK3r37+/nn/+eb377ruyWCw6deqUoqKi9MILL2jcuHFmhwcAAIlGAEDx9eSTT+rPP//U1KlT5ePjw2QwAIAibfTo0UpLS1ObNm108eJFtWjRQm5ubnrhhRc0dOhQs8MDAIBEIwCg+Nq1a5eioqJ09913mx0KAAC5kpqaqp07d2rIkCF68cUXdfz4cZ0/f161a9dW6dKlzQ4PAABJJBoBAMVYzZo1denSpQKpKzU1VRMnTtT777+vuLg4+fv7q3fv3nr11VftPSkNw9CECRO0ePFiJSQkqFmzZlq4cKGqVatWIDECAIouZ2dnPfjgg/rll1/k5eWl2rVrmx1SvouPj5fNZivQOmNiYhz+FhSr1cpY8QCKBRKNAIBia/r06Ro1apTCw8NVt27dDGM0enp65lldM2bM0MKFC7V8+XLVqVNH+/btU58+fWS1WjVs2DBJ0syZMzV37lwtX75cwcHBGjdunMLCwnTkyBG5u7vnWSwAgOLprrvu0smTJxUcHGx2KPkuPj5eT/foqZTLyabUHx4eXqD1ubi66f33VpBsBFDkkWgEABRbDz30kCSpTZs2DuWGYchisSg1NTXP6tq1a5c6deqk9u3bS5IqVaqkDz74QN9//729ztmzZ+vVV19Vp06dJEkrVlz9QbFu3Tp169Ytz2IBABRPU6ZM0QsvvKD//ve/atiwoUqVKuWwPC8voJnNZrMp5XKyLlVuqTR3q9nh5CunJJt0crtsNhuJRgBFHolGAECxtW3btgKr695771VERIR+/fVXVa9eXYcOHdJ3332nN998U5IUHR2tuLg4hYaG2rexWq1q2rSpoqKiskw0JicnKzn5/3pzJCYm5u+BAAAKrXbt2kmSHn74YYcJzvLjAlphkeZuVVqp8maHAQDIJhKNAIBiq2XLlgVW1+jRo5WYmKiaNWvK2dlZqampCg8PV/fu3SVJcXFxkpShp4KPj499WWamTZumSZMm5V/gAIAioyAvoAEAkBMkGgEAxVpCQoKWLFmiX375RZJUp04d9e3bV1Zr3t6GtXr1akVGRmrlypWqU6eODh48qOHDh8vf31+9evXK8X7HjBmjkSNH2p8nJiYqICAgL0IGABQxBXkBDQCAnMhxovHy5cuKjo5WlSpVVKIE+UoAQOGzb98+hYWFycPDQ02aNJEkvfnmmwoPD9fmzZv1n//8J8/qevHFFzV69Gj7LdB169ZVTEyMpk2bpl69esnX11fS1cHt/fz87NvFx8erfv36We7Xzc1Nbm5ueRZnZpKSkhQbG5uvddxIYGAgk+EAQDYV1AU0AABy4pYzhBcvXtTQoUO1fPlySdKvv/6qypUra+jQobrjjjs0evToPA8SAICcGDFihB5++GEtXrzYflHsypUreuaZZzR8+HDt2LEjz+q6ePGinJycHMqcnZ2VlpYmSQoODpavr6+2bt1qTywmJiZqz549GjRoUJ7FkROxsbEaMGCAafVHRESoevXqptUPAEVFQV5AAwAgJ2450ThmzBgdOnRI33zzjX02T0kKDQ3VxIkTSTQCAAqNffv2OSQZJalEiRJ66aWX1KhRozytq2PHjgoPD1dgYKDq1KmjH374QW+++ab69u0rSbJYLBo+fLimTJmiatWqKTg4WOPGjZO/v786d+6cp7HcqsDAQEVERORo25iYGIWHh2vs2LEKCgrKcf0ofJwuJZgdQr4q7seH4qkgL6ABAJATt5xoXLdunT788EPdc889DjOd1alTRydOnMjT4AAAyA1PT0/FxsaqZs2aDuW///67ypQpk6d1zZs3T+PGjdPgwYN15swZ+fv7a+DAgRo/frx9nZdeekkXLlzQgAEDlJCQoObNm2vjxo2m3zbs7u6e6x6FQUFBRapXYnFPMuXF8XlEk7AACpuCvIAGAEBO3HKi8a+//lLFihUzlF+4cMEh8QgAgNmeeOIJ9evXT6+//rruvfdeSdLOnTv14osv6sknn8zTusqUKaPZs2dr9uzZWa5jsVg0efJkTZ48OU/rxq0jiXZzl4JbKM3Dy+ww8o3TpQTeByhyCvICGgAAOXHLicZGjRrpiy++0NChQyXJnlx85513FBISkrfRAQCQC6+//rosFot69uypK1euSJJcXFw0aNAgTZ8+3eToYCaSaDeX5uGltFLl8ygiAHmhIC+gAQCQE7ecaJw6daratm2rI0eO6MqVK5ozZ46OHDmiXbt2afv27fkRIwAAOeLq6qo5c+Zo2rRp9uE9qlSpopIlS5ocGcxGEg1AUcQFNABAYed081UcNW/eXAcPHtSVK1dUt25dbd68WRUrVlRUVJQaNmyYHzECAJAjNptNZ8+eVcmSJVW3bl3VrVtXJUuW1NmzZ5WYmGh2eAAA3JL0C2j//vuvDh48qIMHD+rs2bOaNWuW3NzczA4PAIBb79EoXe0Nsnjx4ryOBQCAPNWtWzd17NhRgwcPdihfvXq1PvvsM3355ZcmRQYAwK2z2WxKTU2Vt7e36tatay8/e/asSpQoIU9PTxOjAwAgBz0aExMTM32cO3dOly9fzo8YAQDIkT179uj+++/PUN6qVSvt2bPHhIgAAMi5bt26adWqVRnKV69erW7dupkQEQAAjm65R6OXl9cNZ5e+88471bt3b02YMEFOTrecxwQAIM8kJyfbx7C6VkpKii5dumRCRAAA5NyePXv05ptvZihv1aqVxo4da0JEAHD7cEqymR1CvsuLY7zlROOyZcs0duxY9e7dW02aNJEkff/991q+fLleffVV/fXXX3r99dfl5uamV155JdcBAgCQU02aNFFERITmzZvnUL5o0SLGFQYAFDlcQAOAgme1WuXi6iadvD0mQHZxdZPVas3x9recaFy+fLneeOMNPf744/ayjh07qm7dunr77be1detWBQYGKjw8nEQjAMBUU6ZMUWhoqA4dOqQ2bdpIkrZu3aq9e/dq8+bNJkcHAMCt4QIaABQ8Hx8fvf/eCtlsBdejMSYmRuHh4Ro7dqyCgoIKrF7pamLVx8cnx9vfcqJx165dWrRoUYbyBg0aKCoqStLVmaljY2NzHBQAAHmhWbNmioqK0muvvabVq1fLw8ND9erV05IlS1StWjWzwwMA4JZwAQ0AzOHj45Or5FtOBQUFqXr16gVeb27ccqIxICBAS5Ys0fTp0x3KlyxZooCAAEnSP//8o7Jly+ZNhAAA5EL9+vUVGRlpdhgoZIr7GDt5cXycI6Dw4QIaAKCwu+VE4+uvv67HHntMGzZsUOPGjSVJ+/bt0y+//KK1a9dKkvbu3asnnngibyMFACAH0tLSdPz4cZ05c0ZpaWkOy1q0aGFSVDDL7TTGTk7H1+EcAYUbF9AAAIXZLScaH374YR09elSLFi3Sr7/+Kklq27at1q1bp/Pnz0uSBg0alLdRAgCQA7t379ZTTz2lmJgYGYbhsMxisSg1NdWkyGCW22mMnZyOr8M5AgqfK1euKDU1VW5ubvay+Ph4LVq0SBcuXNDDDz+s5s2bmxghAABX3XKiUZIqVapkv3U6MTFRH3zwgZ544gnt27ePH20AgELj2WefVaNGjfTFF1/Iz89PFovF7JBQCDDGzs1xjoDCpX///nJ1ddXbb78tSTp37pwaN26spKQk+fn5adasWfr000/Vrl07kyMFANzucpRolKQdO3ZoyZIlWrt2rfz9/dWlSxe99dZbeRkbAAC5cuzYMX300UeqWrWq2aEAAJBjO3fudPittWLFCqWmpurYsWOyWq16+eWX9dprrxXLRKPTpQSzQ8h3t8MxArh93FKiMS4uTsuWLdOSJUuUmJioxx9/XMnJyVq3bp1q166dXzECAJAjTZs21fHjx0k0AgCKtD///NNhspetW7eqa9eu9jFGe/XqpaVLl5oVXr7yiN5hdggAgFuQ7URjx44dtWPHDrVv316zZ8/WQw89JGdnZy1atCg/4wMAIMeGDh2qUaNGKS4uTnXr1pWLi4vD8nr16pkUGQAA2efu7q5Lly7Zn+/evVuvvfaaw/L08fKLm0vBLZTm4WV2GPnK6VICCVUAxUa2E40bNmzQsGHDNGjQIIeraQAAFFZdu3aVJPXt29deZrFYZBgGk8EAAIqM+vXr67333tO0adP07bffKj4+Xq1bt7YvP3HihPz9/U2MMP+keXgprVR5s8MAAGRTthON3333nZYsWaKGDRuqVq1a6tGjh7p165afsQEAkCvR0dFmhwAAQK6NHz9ebdu21erVq3X69Gn17t1bfn5+9uWffPKJmjVrZmKEAABcle1E4z333KN77rlHs2fP1ocffqh3331XI0eOVFpamrZs2aKAgACVKVMmP2MFAOCWBAUFmR0CAAC51rJlS+3fv1+bN2+Wr6+vHnvsMYfl9evXV5MmTUyKDgCA/3PLs06XKlVKffv2Vd++fXX06FEtWbJE06dP1+jRo/XAAw/os88+y484AQDItuy2RQ8//HA+RwIAQN6oVauWatWqlemyAQMGFHA0AABk7pYTjdeqUaOGZs6cqWnTpmn9+vV699138youAAByrHPnzjddhzEaAQAAACBv5SrRmM7Z2VmdO3fO1g87AADyW1pamtkhAAAAAMBtx8nsAAAAAAAAAAAUfSQaAQAAAAAAAOQaiUYAAAAAAAAAuZYnYzQCAAAAAPJX2bJlZbFYMpRbLBa5u7uratWq6t27t/r06WNCdAAAkGgEAAAAgCJh/PjxCg8PV9u2bdWkSRNJ0vfff6+NGzdqyJAhio6O1qBBg3TlyhX179/f5GjzhlOSzewQ8t3tcIwAbh8kGpEtTpcSzA4hXxX34wMAIL8lJSUpNjY2R9vGxMQ4/L1VgYGBcnd3z9G2QFHy3XffacqUKXr22Wcdyt9++21t3rxZa9euVb169TR37twin2i0Wq1ycXWTTm43O5QC4eLqJqvVanYYAJBrJBqRLR7RO8wOAQCyJavbyjJz9uzZfI4GuH3ExsZqwIABudpHeHh4jraLiIhQ9erVc1U3UBRs2rRJM2bMyFDepk0bjRo1SpLUrl07jR49uqBDy3M+Pj56/70VstkKtrdfTEyMwsPDNXbsWAUFBRVYvVarVT4+PgVWHwDkFxKNyJZLwS2U5uFldhj5xulSAslUoJiYPXu22SEAt6XAwEBFRESYVjdwO/D29tb69es1YsQIh/L169fL29tbknThwgWVKVPGjPDynI+Pj2nJt6CgIC5gAEAOkGhEtqR5eCmtVHmzwwCAm+rVq5fZIQC3JXd3d36UA/ls3LhxGjRokLZt22Yfo3Hv3r368ssvtWjRIknSli1b1LJlSzPDBADcxpzMDiDd9OnTZbFYNHz4cHtZUlKShgwZonLlyql06dLq2rWr4uPjzQsSAFBkJSUlKTEx0eEBAEBR0r9/f23fvl2lSpXSxx9/rI8//lglS5bU9u3b1a9fP0nSqFGj9OGHH5ocKQDgdlUoejTu3btXb7/9turVq+dQPmLECH3xxRdas2aNrFarnnvuOXXp0kU7d+40KVIAQFFy4cIFvfzyy1q9erX++eefDMtTU1NNiAoAgJxr1qyZmjVrZnYYAABkyvRE4/nz59W9e3ctXrxYU6ZMsZfbbDYtWbJEK1euVOvWrSVJS5cuVa1atbR7927dc889ZoUMACgiXnrpJW3btk0LFy5Ujx49NH/+fP355596++23NX36dLPDAwBcJzezl+dWUZm9PC0tTcePH9eZM2eUlpbmsKxFixYmRQUAwFWmJxqHDBmi9u3bKzQ01CHRuH//fqWkpCg0NNReVrNmTQUGBioqKirLRGNycrKSk5Ptz/Pr1ricfgmKiYlx+JsTReVLEG6OL9NA/lq/fr1WrFihVq1aqU+fPrrvvvtUtWpVBQUFKTIyUt27dzc7RADANfJi9vKcKgqzl+/evVtPPfWUYmJiZBiGwzKLxUJPfQCA6UxNNK5atUoHDhzQ3r17MyyLi4uTq6urvLy8HMp9fHwUFxeX5T6nTZumSZMm5XWoGeT2S1B4eHiOty0KX4KQPXyZBvLX2bNnVblyZUmSp6enzp49K0lq3ry5Bg0aZGZoAIBM5Gb28piYGIWHh2vs2LEKCgrKUd2F3bPPPqtGjRrpiy++kJ+fnywWi9khAQDgwLRE4++//67nn39eW7ZsydNeVWPGjNHIkSPtzxMTExUQEJBn+0+Xmy9BeVE3ioecvo9y+0U6vW6guKtcubKio6MVGBiomjVravXq1WrSpInWr1+f4UIWAMB8eTF7eVBQULG9mHrs2DF99NFHqlq1qtmhoIjjzioA+cW0ROP+/ft15swZ/ec//7GXpaamaseOHXrrrbe0adMmXb58WQkJCQ4/BuPj4+Xr65vlft3c3OTm5pafoUvKmy9BQG7fR8X5izSQF/r06aNDhw6pZcuWGj16tDp27Ki33npLKSkpevPNN80ODwCAW9K0aVMdP36cRCNyjTurAOQX0xKNbdq00Y8//uhQ1qdPH9WsWVMvv/yyAgIC5OLioq1bt6pr166SpKNHjyo2NlYhISFmhAwAKGJGjBhh/3doaKj+97//af/+/apatarq1atnYmQAANy6oUOHatSoUYqLi1PdunXl4uLisJy2DdnFMAUA8otpicYyZcrorrvucigrVaqUypUrZy/v16+fRo4cKW9vb3l6emro0KEKCQlhxmkAQI4EBQXleLgBAADMlt4Bo2/fvvYyi8UiwzCYDAa3hGEKAOQX02edvpFZs2bJyclJXbt2VXJyssLCwrRgwQKzwwIAFBGTJ0++4fLx48cXUCQAAORedHS02SEAAHBDhSrR+M033zg8d3d31/z58zV//nxzAgIAFGmffPKJw/OUlBRFR0erRIkSqlKlColGAECRYmav/OnTp2vMmDF6/vnnNXv2bElXJxQZNWqUVq1a5dAxxMfHx7Q4AQDmKlSJRgAA8tIPP/yQoSwxMVG9e/fWI488YkJEKKpyMztnTEyMw9+cYIZO4Pb12WefqW3btnJxcdFnn312w3UffvjhfIlh7969evvttzOMATlixAh98cUXWrNmjaxWq5577jl16dJFO3fuzJc4AACFH4lGAMBtxdPTU5MmTVLHjh3Vo0cPs8NBEZEXs3OGh4fneFtm6ARuX507d1ZcXJwqVqyozp07Z7lefo3ReP78eXXv3l2LFy/WlClT7OU2m01LlizRypUr1bp1a0nS0qVLVatWLe3evZtx9QHgNkWiEQBw27HZbLLZbGaHgSIkN7Nz5lX9AG5PaWlpmf67oAwZMkTt27dXaGioQ6Jx//79SklJUWhoqL2sZs2aCgwMVFRUVKaJxuTkZCUnJ9ufJyYm5m/wAIACR6IRAFBszZ071+G5YRg6ffq03nvvPbVt29akqFAU5cXsnABQ1KxatUoHDhzQ3r17MyyLi4uTq6urvLy8HMp9fHwUFxeX6f6mTZumSZMm5UeoAIBCgkQjAKDYmjVrlsNzJycnVahQQb169dKYMWNMigoAgOy7/qLZjQwbNizP6v3999/1/PPPa8uWLXk2RuyYMWM0cuRI+/PExEQFBATkyb4BAIUDiUYAQLEVHR1tdggAAOTK9RfN/vrrL128eNHekzAhIUElS5ZUxYoV8zTRuH//fp05c0b/+c9/7GWpqanasWOH3nrrLW3atEmXL19WQkKCQ6/G+Ph4+fr6ZrpPNzc3ubm55VmMAIDCh0QjAAAAABRS1140W7lypRYsWKAlS5aoRo0akqSjR4+qf//+GjhwYJ7W26ZNG/34448OZX369FHNmjX18ssvKyAgQC4uLtq6dau6du1qjyU2NlYhISF5GgsAFFVJSUmKjY295e1iYmIc/uZEYGBgnvVIvxUkGgGgiMtp45UXzGq8suvChQuaPn26tm7dqjNnzmQYRP/kyZMmRZZ/4uPjC3Sim7z4EpQTVqtVPj4+BVonAJht3Lhx+uijj+xJRkmqUaOGZs2apUcffVTdu3fPs7rKlCmju+66y6GsVKlSKleunL28X79+GjlypLy9veXp6amhQ4cqJCSEGacB4P+LjY3VgAEDcrx9eHh4jreNiIgwZYxxEo0AUMTltvHKDbMar+x65plntH37dvXo0UN+fn6yWCxmh5Sv4uPj9XSPnkq5nHzzlfNYbr4E5YSLq5vef28FyUYAt5XTp0/rypUrGcpTU1MVHx9f4PHMmjVLTk5O6tq1q5KTkxUWFqYFCxYUeBwAUFgFBgYqIiLCtLrNQKIRAIq4nDZeMTExCg8P19ixYxUUFJTjuguzDRs26IsvvlCzZs3MDqVA2Gw2pVxO1qXKLZXmbjU7nHzjlGSTTm6XzWYj0QjgttKmTRsNHDhQ77zzjn3sxP3792vQoEEKDQ3N9/q/+eYbh+fu7u6aP3++5s+fn+91A0BR5O7uXqg7ZuQHEo0AUMTltvEKCgoqto1f2bJl5e3tXWD1/fnnn3r55Ze1YcMGXbx4UVWrVtXSpUvVqFEjSZJhGJowYYIWL16shIQENWvWTAsXLlS1atXyNI40d6vSSpXP030CAMz37rvvqlevXmrUqJFcXFwkSVeuXFFYWJjeeecdk6MDAIBEIwCgGPvvf/+r8ePHa/ny5SpZsmS+1vXvv/+qWbNmuv/++7VhwwZVqFBBx44dU9myZe3rzJw5U3PnztXy5csVHByscePGKSwsTEeOHCnUY10CAAqHChUq6Msvv9Svv/6q//3vf5KkmjVrFtsLhgCAoodEIwCg2HrjjTd04sQJ+fj4qFKlSvbeH+kOHDiQZ3XNmDFDAQEBWrp0qb0sODjY/m/DMDR79my9+uqr6tSpkyRpxYqrYwyuW7dO3bp1y7NYAADFW/Xq1UkuAgAKJRKNAIBiq3PnzgVW12effaawsDA99thj2r59u+644w4NHjxY/fv3lyRFR0crLi7OYQwtq9Wqpk2bKioqKstEY3JyspKT/29yl8TExPw9EABAoZWamqply5Zp69atOnPmjNLS0hyWf/311yZFBgDAVSQaAQDF1oQJEwqsrpMnT2rhwoUaOXKkXnnlFe3du1fDhg2Tq6urevXqpbi4OEnKMHmJj4+PfVlmpk2bpkmTJuVr7ACAouH555/XsmXL1L59e911112yWCxmhwQAgAMSjQCAYu/y5cuZ9vzIy1mz09LS1KhRI02dOlWS1KBBA/30009atGiRevXqleP9jhkzRiNHjrQ/T0xMVEBAQK7jBQAUPatWrdLq1avVrl07s0MBACBTJBoBFBinJJvZIeSr4n58RdGvv/6qfv36adeuXQ7lhmHIYrEoNTU1z+ry8/NT7dq1Hcpq1aqltWvXSpJ8fX0lSfHx8fLz87OvEx8fr/r162e5Xzc3N7m5ueVZnACAosvV1VVVq1Y1OwwAALJEohFAvrNarXJxdZNObjc7lHzn4uomq9Vqdhj4//r06aMSJUro888/l5+fX77eYtasWTMdPXrUoezXX39VUFCQpKsTw/j6+mrr1q32xGJiYqL27NmjQYMG5VtcAIDiY9SoUZozZ47eeustbpsGYLqkpCTFxsaaUndgYKDc3d1NqRs3RqIRQL7z8fHR+++tkM1WcD3+YmJiFB4errFjx9oTPQXBarVmGIMP5jl48KD279+vmjVr5ntdI0aM0L333qupU6fq8ccf1/fff6+IiAhFRERIkiwWi4YPH64pU6aoWrVqCg4O1rhx4+Tv71+gk9YAAIqu7777Ttu2bdOGDRtUp04dubi4OCz/+OOPTYoMwO0oNjZWAwYMMKXuiIgIVa9e3ZS6cWMkGgEUCB8fH1MScEFBQTRAt7HatWvr77//LpC6GjdurE8++URjxozR5MmTFRwcrNmzZ6t79+72dV566SVduHBBAwYMUEJCgpo3b66NGzdyNRYAkC1eXl565JFHzA4DACRd7VWYflH9VuRFp5C8HGsdeYtEIwCg2JoxY4ZeeuklTZ06VXXr1s3Q88PT0zNP6+vQoYM6dOiQ5XKLxaLJkydr8uTJeVovABRG8fHxBX43w7V/C0pB3s2wdOnSAqkHALLD3d09V5066BRSPJFoBPIAX6SBwik0NFSS1KZNG4fy/JgMBgDwf+Lj4/V0j55KuZxc4HWHh4cXaH0urm56/70VBfYd6cqVK/rmm2904sQJPfXUUypTpoxOnTolT09PlS5dukBiKOxyM25cbr9nM24cgNsdiUYgl/giDRRe27ZtMzsEALgt2Ww2pVxO1qXKLZXmXnwnSXNKskknt8tmsxXI96OYmBg99NBDio2NVXJysh544AGVKVNGM2bMUHJyshYtWpTvMRQFeTFuXE6/ZzNuHIDbHYlGIJf4Ig0UXi1btsxy2U8//VSAkQDA7SnN3aq0UuXNDqPYeP7559WoUSMdOnRI5cqVs5c/8sgj6t+/v4mRFS45HTcur+oGgNsZiUYgj/BFGij8zp07pw8++ED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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "BF8aSFpZt9we"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "-ejy_tDDt962"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Line Graphs for Clusters"
      ],
      "metadata": {
        "id": "9GwhxwNct-GW"
      },
      "execution_count": 84,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(12, 6))  # Set the figure size for the line graphs\n",
        "plt.plot(df.groupby('Cluster')['Age'].mean(), marker='o', label='Age')  # Plot the mean Age for each cluster\n",
        "plt.plot(df.groupby('Cluster')['Annual Income (k$)'].mean(), marker='o', label='Annual Income')  # Plot the mean Annual Income for each cluster\n",
        "plt.plot(df.groupby('Cluster')['Spending Score (1-100)'].mean(), marker='o', label='Spending Score')  # Plot the mean Spending Score for each cluster\n",
        "plt.title('Line Graph of Features by Cluster')  # Set the title for the line graph\n",
        "plt.xlabel('Cluster')  # Label the x-axis\n",
        "plt.ylabel('Mean Value')  # Label the y-axis\n",
        "plt.legend()  # Show the legend\n",
        "pdf_pages.savefig()  # Save the current figure to the PDF\n",
        "plt.show()  # Display the line graph"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 534
        },
        "id": "UYYgUeSwuAfO",
        "outputId": "3a1d6b9e-01ab-4678-e138-d757ba98d6bb"
      },
      "execution_count": 85,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "xcNRqfqluDon"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "4LOdkIkauDsI"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Histograms for Clusters"
      ],
      "metadata": {
        "id": "wk78HPeUuD3X"
      },
      "execution_count": 86,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(14, 10))  # Set the figure size for the histograms\n",
        "for i in range(optimal_clusters):  # Loop through each cluster\n",
        "    plt.subplot(2, 3, i + 1)  # Create a subplot for each cluster\n",
        "    sns.histplot(df[df['Cluster'] == i]['Age'], kde=True)  # Plot a histogram for Age in each cluster with KDE\n",
        "    plt.title(f'Histogram of Age for Cluster {i}')  # Set the title for each histogram\n",
        "plt.tight_layout()  # Adjust the layout to prevent overlap\n",
        "pdf_pages.savefig()  # Save the current figure to the PDF\n",
        "plt.show()  # Display the histograms"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 688
        },
        "id": "-8guIIcquGWs",
        "outputId": "d70971b2-2aee-4809-8b2d-2150176b9f49"
      },
      "execution_count": 87,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1400x1000 with 5 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "BOyf4FzHuLMI"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "B7eUvVVQuLQf"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Plot the clusters"
      ],
      "metadata": {
        "id": "G94PkwhmuZ7G"
      },
      "execution_count": 88,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(12, 8))  # Create a new figure for plotting clusters with specified size\n",
        "sns.scatterplot(x='Age', y='Annual Income (k$)', hue='Cluster', data=df, palette='viridis', s=100, alpha=0.7)  # Create a scatter plot of clusters\n",
        "plt.title('Clusters of Customers')  # Set the title of the plot\n",
        "plt.xlabel('Age')  # Set the x-axis label\n",
        "plt.ylabel('Annual Income (k$)')  # Set the y-axis label\n",
        "pdf_pages.savefig()  # Save the current figure to the PDF file\n",
        "plt.show()  # Display the plot"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 673
        },
        "id": "mDFmR4kkuczp",
        "outputId": "494bcbb0-7d74-4b6d-fd68-f2903c0280d0"
      },
      "execution_count": 89,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ],
            "image/png": 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iFEM7ERERERERUZzinHYiIiIiIiKaMKIoIhAIIBgMTnYpMSWVSiGTyT73tuIM7URERERERDQhfD4f2tvb4XK5JruUCaHRaJCZmQmFQjHu12BoJyIiIiIiopgLhUKor6+HVCpFVlYWFArF5+6FjleiKMLn86G7uxv19fUoKSmBRDK+2ekM7URERERERBRzPp8PoVAIubm50Gg0k11OzKnVasjlcjQ2NsLn80GlUo3rdSZ1IbrNmzdj3bp1yMrKgiAIePXVV0ds+61vfQuCIODRRx8d9HhfXx+uu+46GAwGmEwmfOMb34DD4Yht4URERERERDQu4+1xnoqi8V4n9Wo5nU6Ul5fjiSeeGLXdK6+8gu3btyMrK2vIc9dddx2qq6uxceNGvP7669i8eTNuueWWWJVMRERERERENGEmdXj8mjVrsGbNmlHbtLa24o477sA777yDtWvXDnqupqYGb7/9Nnbt2oWFCxcCAB5//HFcfPHF+M1vfjNsyCciIiIiIiKaKuJ6XEIoFMLXvvY13H333SgtLR3y/LZt22AymQYCOwCsWrUKEokEO3bsGPF1vV4vbDbboH9EREREREQU/8aaWp1o4jq0//KXv4RMJsN3vvOdYZ/v6OhAWlraoMdkMhnMZjM6OjpGfN2HH34YRqNx4F9ubm5U6yYiIiIiIqLx6ejowB133IGioiIolUrk5uZi3bp1eP/996N+rg8//BCCIMBisUT9taMlbleP37NnDx577DFUVlZGfRuAe++9F3fdddfA1zabjcGdiIiIiIhokjU0NGD58uUwmUz49a9/jbKyMvj9frzzzju47bbbcPjw4ckucViiKCIYDEImi37Ejtue9o8//hhdXV3Iy8uDTCaDTCZDY2Mjvv/976OgoAAAkJGRga6urkHHBQIB9PX1ISMjY8TXViqVMBgMg/4RERERERHR5Lr11lshCAJ27tyJK664AtOnT0dpaSnuuusubN++fUj74XrKq6qqIAgCGhoaAACNjY1Yt24dkpKSoNVqUVpaijfffBMNDQ0477zzAABJSUkQBAE33HADgBNTtR9++GEUFhZCrVajvLwcL7300pDzvvXWW1iwYAGUSiW2bNkSk2sStz3tX/va17Bq1apBj61evRpf+9rXcOONNwIAli1bBovFgj179mDBggUAgE2bNiEUCmHJkiUTXjMRERERERGNT19fH95++21s2LABWq12yPMmk2lcr3vbbbfB5/Nh8+bN0Gq1OHToEHQ6HXJzc/Hyyy/jiiuuwJEjR2AwGKBWqwGcmFL9t7/9DU899RRKSkqwefNmfPWrX0VqairOPffcgdf+0Y9+hN/85jcoKipCUlLSuOoby6SGdofDgbq6uoGv6+vrUVVVBbPZjLy8PCQnJw9qL5fLkZGRgRkzZgAAZs2ahYsuugg333wznnrqKfj9ftx+++245ppruHI8ERERERHRFFJXVwdRFDFz5syovm5TUxOuuOIKlJWVAQCKiooGnjObzQCAtLS0gZsCXq8XP//5z/Hee+9h2bJlA8ds2bIFTz/99KDQ/pOf/AQXXHBBVOs93aSG9t27dw8MRwAwMM98/fr1ePbZZ8N6jeeffx633347zj//fEgkElxxxRX43e9+F4tyiYiIiIiIKEZEUYzJ637nO9/Bt7/9bbz77rtYtWoVrrjiCsydO3fE9nV1dXC5XEPCuM/nQ0VFxaDHTt3JLFYmNbSvXLkyom/MyTkJpzKbzXjhhReiWBURxTNvIABPIAAAUMlkUMZgsY/RiKIIt8ePQDAEqUSARq2I+mKZRERERGeikpISCIIQ0WJzEsmJZdpOzZV+v39Qm5tuugmrV6/GG2+8gXfffRcPP/wwfvvb3+KOO+4Y9jUdDgcA4I033kB2dvag55RK5aCvhxvGH21xO6ediOhUVo8H3S4ntjY3ocvpBCAiWa3BWbn5SNNpkaRSx/T8fn8QVrsbdY3dqKlth9cXgFwmxfSiNMwozoBRr4ZSwV+pRERERONlNpuxevVqPPHEE/jOd74zJBBbLJYh89pTU1MBAO3t7QNzyquqqoa8dm5uLr71rW/hW9/6Fu69914888wzuOOOO6BQKAAAwWBwoO3s2bOhVCrR1NQ0aCj8ZOEnTCKKe602G146dBCHursQPG10zraWZkxPTsHVpXOQazDGpNfb5fHhQE0r3v/kMCw296DnjhzvxAfbjuKcJSVYWJYPnVY5wqsQERER0VieeOIJLF++HIsXL8ZPfvITzJ07F4FAABs3bsSTTz6JmpqaQe2nTZuG3NxcPPjgg9iwYQOOHj2K3/72t4Pa3HnnnVizZg2mT5+O/v5+fPDBB5g1axYAID8/H4Ig4PXXX8fFF18MtVoNvV6PH/zgB/je976HUCiEFStWwGq14pNPPoHBYMD69esn7HoAcbzlGxERALTb7fjT3j040NU5JLADQEgUcbinG/+vcjda7baon9/rC6CqugWvvlM1JLCf5HB68dYHB7Gjqh5uty/qNRARERGdKYqKilBZWYnzzjsP3//+9zFnzhxccMEFeP/99/Hkk08OaS+Xy/H3v/8dhw8fxty5c/HLX/4SP/vZzwa1CQaDuO222wYWMp8+fTp+//vfAwCys7Px0EMP4Uc/+hHS09Nx++23AwB++tOf4r777sPDDz88cNwbb7yBwsLC2F+E0whirGb7TyE2mw1GoxFWq5V7thPFEU8ggH9WH8Dmxoaw2i/OzsZX51ZAI5dHrYaObiue/OtmuD3+MdvKpBJ886vnID/bHLXzExERESUKj8eD+vp6FBYWQqVSTXY5E2K09xxuDmVPOxHFLYvHjX0d7WG3r+7qQr9n+N7w8QgEQthf0xpWYAeAQDCEPQca4fMHolYDEREREZ3ZGNqJKG4d6++D1esNu73T78ehrq6ond/u9KCmriOiY44e74TDGX7NRERERESjYWgnorhlcXsiPiaaPe2hkAhXhHPUXW4/QqEzftYREREREUUJQzsRxS2FVBrxMfJxHDMSQQCk0sh+TUqlEu7bTkRERERRw9BORHGrwJQEaQQBWAAw3ZwctfOrlHJkphkjOiYzzQC5PHo3DoiIiIjozMbQTkRxK1WrwbQIQniBKQmZen3Uzq9RK7C4PB+R9JsvKMuDQXdmrIZKRERERLHH0E5EccukUuMLhUVhDZOXCgLOKyxCkkod1Roy0oyYUZwRVtu8rCQU5aVG9fxEREREdGZjaCeiuDY7NQ1Xl86BcpTgLpNIcMXsUpSnZ0R9PrlRr8a6VWUoyksZtV1OhgmXr5mPJKMmqucnIiIiouF5XF70dVrQ12FBX6cFHldi7uAjm+wCiIhGo5bLsTQnF5k6Az5uasDBrk44fCdWdNfI5ShNS8PZeQUoMCVBI5fHpIbUZD2+fMkCVNe2Y291M1ra+yF+ukB8ZpoR80pzUDYjGylmXUzOT0RERESfcVic6G7uxZ739qPpUDN8Xj8USjnyZudiwaq5SM1Nhs6knewyo4ahnYjinkomx4yUFOQaDbB5vXD6/RBFEVq5AkaVKmZh/VRJJi2WLyzGnBlZcLp88PkDUMhl0KjlMOrVkEg4cImIiIgo1qzdNnzwjy3Y+96BQdvsOgH0d1px4KNqVKwqw3nXrIAxxTB5hUYRP2US0ZShkSuQodOjOMmMaeZkZOr1ExLYTxIEASaDBtkZJhTmpiA7w4Qko5aBnYiIiGgCOCxOfPCPLdjz7v5Bgf1UoZCIPe/uxwcvfgKHxRn1Gp544gkUFBRApVJhyZIl2LlzZ9TPcTp+0iQiIiIiIqK4193cg73vHQir7d739qO7pTeq5//HP/6Bu+66Cw888AAqKytRXl6O1atXo6urK6rnOR1DOxEREREREcU1j8uLPRtH7mE/XSgkovK9/VFdnO6RRx7BzTffjBtvvBGzZ8/GU089BY1Ggz/96U9RO8dwGNqJiIiIiIgorrnsbjTVtER0TOOhFrjs7qic3+fzYc+ePVi1atXAYxKJBKtWrcK2bduico6RMLQTERERERFRfBMBn9cf0SF+jx8DW/58Tj09PQgGg0hPTx/0eHp6Ojo6OqJyjpEwtBMREREREVF8EwCFMrIFiOUqOSAIMSpo4jC0ExERERERUVzT6NXIm50b0TH5s3Og0aujcv6UlBRIpVJ0dnYOeryzsxMZGRlROcdIGNqJiIiIiIgorqk0SixYVQaJJLyec4lEwPxVc6HSKKNyfoVCgQULFuD9998feCwUCuH999/HsmXLonKOkTC0ExERERERUdxLzU1BxaqysNrOv6AcqTnJUT3/XXfdhWeeeQbPPfccampq8O1vfxtOpxM33nhjVM9zOllMX52IiIiIiIgoCnQmLc67ZgUAAXvfG377N4lEQMWquVj55bOgM2mjev4vf/nL6O7uxv3334+Ojg7MmzcPb7/99pDF6aJNEMUoLac3hdlsNhiNRlitVhgMhskuh4iIiIiIKOF4PB7U19ejsLAQKpVq3K/jsDjR3dKLyvf2o/FQC/weP+QqOfJn52D+qrlIzUmOemAfr9Hec7g5lD3tRERERERENGXoTFroTFpkFqWf2IddFAFBgEavjtoc9njC0E5ERERERERTjkqjTMiQfjouREdEREREREQUpxjaiYiIiIiIiOIUQzsRERERERFRnGJoJyIiIiIiIopTDO1EREREREREcYqrxxMREREREdGU4/H64XL7Tu74Bo1aAZVSPtllRR1DOxEREREREU0ZDqcHnT127N7XiPqWHvj8QSjkUhTmpGBheT7SU/TQaVWTXWbUMLQTERERERHRlGCxufDelsPYva8RIVEc9FyfpQl7q5uxsDwfq1bMhMmgmaQqo4tz2omIiIiIiCjuOZwevLflMHZWNQwJ7CeFRBE7qxrw3pYjcDg9UT3/5s2bsW7dOmRlZUEQBLz66qtRff2RMLQTERERERFR3Ds5JD4cu/c1oKvXEdXzO51OlJeX44knnojq646Fw+OJiIiIiIgornm8fuzaN3IP++lCoohd+xqQlW6M2uJ0a9aswZo1a6LyWpFgTzsRERERERHFNZfbh4aW3oiOqW/uhcvti1FFE4ehnYiIiIiIiOKaKAI+fzCiY3z+AMLsmI9rDO1EREREREQU1wQBUMilER2jkMsgCDEqaAIxtBMREREREVFc06gVKMxJieiYwtxkaNSKGFU0cRjaiYiIiIiIKK6plHIsLM+HJMyuc4kgYFF5QdQWoZtMDO1EREREREQU99JT9FhYnh9W20XlBUhL1kX1/A6HA1VVVaiqqgIA1NfXo6qqCk1NTVE9z+m45RsRERERERHFPZ1WhVUrZgIQsHuE7d8kgoCF5QU4f8UM6LSqqJ5/9+7dOO+88wa+vuuuuwAA69evx7PPPhvVc52KoZ2IiIiIiIimBJNBg4vOnYX5c3Kxa18D6pt74fMHoJDLUJibPNDDHu3ADgArV66EOAnL0TO0ExERERER0ZSh06qg06qQlW6Ey+2DKJ5YXV6jViTEHPbTMbQTERERERHRlKNSyhMypJ+OC9ERERERERERxSmGdiIiIiIiIqI4xeHxRERhCoRCsLjd6Pe44Q4EoJRKYVZrYFKpIJdKJ7s8oinF7vDA5vDA4fRAkAgw6NQw6FTQqBWTXRoREVFcYWgnIgpDp8OBHa3N2N3Wija7feDxNK0W8zOzcFZuHjJ1egiCMIlVEsU/h8uLYw3d2LmvAfVNPQgEQwAAlVKG6YXpWFxRgLws8xkxR5GIiCgcDO1ERGNotdnwbFUl6i39Q57rcjrxdl0t9nd24MZ581GYZJ6ECommBrvTg807arF5Ry1O3zHH4w1g/+FW1BzrwNovlGHBnFwoGdyJiIg4p52IaDR9bjdeOLBv2MB+qja7HX/ZV4Vup3OCKiOaWgLBICoPNGPz9qGB/VR+fxBvvH8AdQ3dE1ccERFNSW6/H90uJ7qdTnS7nHD7/ZNdUkywp52IaBRNVguO9PaE1bbZZkVNTzdStdoYV0U09djsHuysqscoeX2APxDEtsrjyMs2Q69Txbw2IiKaWmxeD9rtDmxpbkBtby98wSAUUilKkpOxIrcAmXodDMrE+fvB0E5ENAK714stTY0RHbOtuQllaelIUqtjVBXR1NTU2ofuPkfY7Y839aDf6mJoJyKiQfrcLrx29DA+aWpC6LShWz0uF3a0tGB5Xh7WTZ8Js1ozSVVGF4fHExGNwBsIoM1ui+iYdocdgVAoRhURTV3Hm8IbsXJSIBhCZ09k//8REVFis3k9eO3oYXzc2DgksJ8UEkV83NiI144egc3rier5H374YSxatAh6vR5paWm47LLLcOTIkaieYzgM7UREIxAFjPgHYSTBkBjxMUSJLhQSB1aJj0QgwBtgRET0mTa7HZ80NYXV9pOmRrTbwx/hFY6PPvoIt912G7Zv346NGzfC7/fjwgsvhDPGaxpxeDwR0QikggCdQoEelyvsY/RKBaQSbvtGdCqJRIDZFPkQRYOe00yIiOgEt9+PLU0j97CfLiSK+KS5AXlGI9Ty6OxG8vbbbw/6+tlnn0VaWhr27NmDc845JyrnGA572omIRmBUqlCRkRXRMWVpGQm18AlRtMwuyYRSEX5fQapZh8w0QwwrIiKiqcTh96GurzeiY2p7++Dw+2JUEWC1WgEAZnNst/xlaCciGoFUIkFFZiZ0CkVY7RVSKZbl5kIhlca4MqKpx2RQY3pRWtjt587KgUHHnnYiIvqUCPiCwYgO8QYDCGvbknEIhUK48847sXz5csyZMyc2J/kUQzsR0SiS1RpcVToHcsnovy6lgoAvzZyNdK1ugiojmlo0aiXOXz4L6Sn6MduWFKRhUXk+ZDJ+TCEiok8JiLhjRCmVATGatXjbbbfh4MGDePHFF2NzglPwryER0SiUMhnmZ2Rh/bz5yNQNHzZSNBpcWzYXZ+XmRW3OFFEiykwz4NpLF2FGUTqk0qEfQZQKGRaU5eHyNfNgNmknoUIiIopXOrkCJcnJER1TkmyGTh7eiMlI3H777Xj99dfxwQcfICcnJ+qvfzouREdENAa1XI6FWdkoNpvRYOlHZVsbPIEAFFIpyjMyMM2cjCSVGnIOiycalSAIyEo34apLFqDf4kRldTMsVhcEQUBGqgFzZ+XAZFBBo1ZOdqlERBRn1HI5lufmY0dLS1iL0UkEActzC6LaoSKKIu644w688sor+PDDD1FYWBi11x4NQzsRURhkEglSNVqkarQoS8tAIBSETCKBSsaedaJIGXQqGHQqZGWY4PcHIQiAQiGDdIxpKEREdGbL0uuxPC8PHzc2jtl2RV4+MvXRnbZ422234YUXXsB//vMf6PV6dHR0AACMRiPU6titw8LQTkQUIZVMBv76JPr85DIp5DKOUCEiovAYlCqsmz4TgIBPRtj+TSIIWJ6Xj0umz4j6jj5PPvkkAGDlypWDHv/zn/+MG264IarnOhU/dRIREREREdGUYFZr8KWZs7A0OxefNDegtrcP3mAASqkMJclmLM8tQKZeF5MteMUw94iPNoZ2IiIiIiIimjIMShUMShXyjMYT+7CLAIQTi9Ul4qLADO1EREREREQ05ajl8oQM6afjii9EREREREREcYqhnYiIiIiIiChOMbQTERERERERxSmGdiIiIiIiIqI4xdBOREREREREFKe4ejwRERERERFNOd6gF56gZ+BrlVQFpVQ5iRXFBkM7ERERERERTRmugAt9vj4ctFajzdMOf8gPuUSOLFUm5hhLYVaYoZFpJrvMqGFoJyIiIiIioinB7rdje+9OVNsOQYT42RNBN6x+Gw7bj6LUMBtLkxdDL9dPXqFRxDntRERnmFAoBKfPB5vXC7ffP9nlEE0aURTh9vjgcHrh9vgmuxwiIhqDK+DC9t6dOGirHhzYTyFCxEFbNbb37YQr4Irq+Z988knMnTsXBoMBBoMBy5Ytw1tvvRXVcwyHPe1ERGcIt98Pi8eDqo521Pb1IhAKQiNXYHF2NvKMJiSp1JBKeC+XEp/PF4DV4Ubt8S4cre+C3x+EUinDnBlZyM9OhlGvgkwmnewyiYjoNL2+PlTbDoXVttp6CLP0M6I6TD4nJwe/+MUvUFJSAlEU8dxzz+HSSy/F3r17UVpaGrXznI6hnYjoDGDxuPFhQz0+aqiH3Te4R3F3WytyDAZcNnMWZqWkQSnjnwZKXA6XF5UHmrB5Ry1sDs+g5w4eaUNKkharzp6F2SWZUCnlk1QlERGdzhv04qB15B7204kQcdB6CKnK1KgtTrdu3bpBX2/YsAFPPvkktm/fHtPQzi4VIqIEZ/N68FZtLV4/emRIYD+pxWbDHyv34FBPFwKh0ARXSDQx3G4fduytxxubDgwJ7Cf19Dvx0puVOHikDT5fYIIrJCKikXiCHrR72iM6ps3TPmh1+WgKBoN48cUX4XQ6sWzZspic46RJDe2bN2/GunXrkJWVBUEQ8Oqrrw485/f7cc8996CsrAxarRZZWVm4/vrr0dbWNug1+vr6cN1118FgMMBkMuEb3/gGHA7HBL8TIqL4dby/H5vqj43Zzh0I4KXqavS73RNQFdHE6+y1470thyGO0UkTCITwxqaD6Lfx/wUionjiD0W2Fo8/5A+zXz58Bw4cgE6ng1KpxLe+9S288sormD17dpTPMtikhnan04ny8nI88cQTQ55zuVyorKzEfffdh8rKSvz73//GkSNH8MUvfnFQu+uuuw7V1dXYuHEjXn/9dWzevBm33HLLRL0FIqK45vB5saWpMew/WJ1OB47198a0JqLJ4PUFsHt/I4LB8EaSOF1e1NS2IcSRJ0REcUMuiWzaklwihxDlGmbMmIGqqirs2LED3/72t7F+/XocOhTePPvxmtSJi2vWrMGaNWuGfc5oNGLjxo2DHvvf//1fLF68GE1NTcjLy0NNTQ3efvtt7Nq1CwsXLgQAPP7447j44ovxm9/8BllZWTF/D0RE8czh86GmuzuiY3a2tqI0NR16ZXTmfxHFA6fLi6PHOyM65uDRdswrzYXJkDh7/RIRTVUqqQpZqkxY/bawj8lSZUIlVUW1DoVCgWnTpgEAFixYgF27duGxxx7D008/HdXznGpKzWm3Wq0QBAEmkwkAsG3bNphMpoHADgCrVq2CRCLBjh07Rnwdr9cLm8026B8RUSLyBoLwBiObl+vweTmvnRJOMCTC5Y5sWzeXy4tQKNoDK4mIaDyUUiVKjaUQwuw7FyBgjnF21BahG0koFILX643pOaZMaPd4PLjnnntw7bXXwmAwAAA6OjqQlpY2qJ1MJoPZbEZHR8eIr/Xwww/DaDQO/MvNzY1p7UREk0UqiXxQmFSQQIj2WDKiSSYAkEoj+9gjibA9ERHFVrLCjFJDePPH5xhnw6wwR/X89957LzZv3oyGhgYcOHAA9957Lz788ENcd911UT3P6abEXyO/34+rr74aoijiySef/Nyvd++998JqtQ78a25ujkKVRETxRyWTIVOnj+iYPKMJGrkiRhURTQ65TIr0FENEx2SmGqFWcds3IqJ4oZFpsDR5MeaM0uN+ooe9FEvMi6O6RzsAdHV14frrr8eMGTNw/vnnY9euXXjnnXdwwQUXRPU8p4v7zXhPBvbGxkZs2rRpoJcdADIyMtDV1TWofSAQQF9fHzIyMkZ8TaVSCSXnahLRGcCkUmNBVhZeP3okrPZyiQTLcnOhkEpjXBnRxDLoVaiYk4uGlvAWWhQALJqXD7WKN7CIiOKJXq7H8uRlmKWfgYPWQ2jztMMf8kMukSNLlTnQwx7twA4Af/zjH6P+muGI69B+MrDX1tbigw8+QHJy8qDnly1bBovFgj179mDBggUAgE2bNiEUCmHJkiWTUTIRUVyRSSRYnJ2D7S3N6HG5xmy/ODsHyWouukWJRxAETC9MR2aaEe1d1jHbzyhOR0aEPfNERDQxNDINNDINUpWp8AQ9EHHiZqtKqor5HPbJMKnD4x0OB6qqqlBVVQUAqK+vR1VVFZqamuD3+3HllVdi9+7deP755xEMBtHR0YGOjg74fCcWkpk1axYuuugi3Hzzzdi5cyc++eQT3H777bjmmmu4cjwR0afStTrcMG/+mGF8XkYm1s2YyVXjKWElJ2lx5cUVSE8dPYwX5ibjklVzYdCrJ6gyIiIaD6VUCaPCCJPCCKPCmJCBHQAEURQnbVnUDz/8EOedd96Qx9evX48HH3wQhYWFwx73wQcfYOXKlQCAvr4+3H777XjttdcgkUhwxRVX4He/+x10Ol3YddhsNhiNRlit1kHD74mIEkUoFEKr3Y6tLU3Y29420OsuEQQUJSVhaU4e5qZnwKxmSKHEJooiuvsc2HuwGQcOt6Kr1z7wXHaGCRWluZgzIwtmk3YSqyQiSkwejwf19fUoLCyEShXdrdji1WjvOdwcOqmhPV4wtBPRmcIfDKLf44HN64E/GIRaLodRqYJJpYLAJePpDBIIhGBzuGF3eODzB6FSyqDTqmDUqyEZx64LREQ0Nob28YX2uJ7TTkRE0SWXSpGm1SJNy15EOrPJZBKYTVr2qBMRUdybElu+EREREREREZ2JGNqJiIiIiIiI4hSHxxMREREREdGUI4bcgOgETm76JmghSBJvUV2GdiIiIiIiIpoyxJANCLZD9H0CBI4BohcQlICsGFAsB6SZECSJs8A4QzsRERERERFNCWKwD6LnDcC3FUDolCfsgK8Hom8XoDgLUK2FIDVPWp3RxDntREREREREFPfEkO3TwL4FgwL7ICHAtwWi540TPfIx8otf/AKCIODOO++M2TlOYmgnIiIiIiKi+Bds/7SHPQy+rUCwIyZl7Nq1C08//TTmzp0bk9c/HUM7ERERERERxTUx5D4xh33EHvbThSD6PjmxWF0UORwOXHfddXjmmWeQlJQU1dceCUM7ERERERERxTfReWLRuUgE6j5dXT56brvtNqxduxarVq2K6uuOhgvRERERERERUZwTT6wSH9EhvhPHRcmLL76IyspK7Nq1K2qvGQ6GdiIiIiIiIopzwolt3UR7BIcoThwXBc3Nzfjud7+LjRs3QqVSReU1w8Xh8URERERERBTfBO2JfdgjIZt24rgo2LNnD7q6ujB//nzIZDLIZDJ89NFH+N3vfgeZTIZgMBiV8wyHPe1EREREREQU1wSJGlAsP7EPe1iL0UkgKJafOC4Kzj//fBw4cGDQYzfeeCNmzpyJe+65B1KpNCrnGQ5DOxEREREREcU/aSagOOvTfdrHoFgOSDOidmq9Xo85c+YMekyr1SI5OXnI49HG0E5ERERERERxT5AYANXaE0vL+bZi+B53CaA4C4Lq4hPtEwBDOxEREREREU0JgtQMqC8FFEtO7NseqDuxSrygAGTTIHzawz4Rgf3DDz+M+TkAhnYiokkRDIYgCIBEwvVAxysYCkEEIOM1JCIiOqMIEgMgMQDS3E/3YRdxYnV5bdTmsMcThnYiognicHlhtblx8Egr+q1uSCQCCnOTUZibAqNeDbk8dguYJApvIIB+jwc13V1osPRDBJCq1aIiIxNJKjW0CsVkl0hEREQT5ERAT7yQfjqGdiKiGBNFEe1dNmz8+BCO1nfB7/9sS5Dd+xuRZNRgcXkBFs3Lh0GX+H94xqvP7cam+mPY3tIMi8cz6Ll362oxNyMDl5TMRKZeP0kVEhEREUUfQzsRUYy1d1nxwn92oavHPuzz/VYX3tl8CA6XF19YPgN6rWqCK4x//W43Xq45iB0tLcM+7w4EsKOlBV0OJ75esYDBnYiIiBIGJwISEcWQ3eHB2x9WjxjYT7V19zEcPd41AVVNLaFQCDtbW0YM7Keqt/TjjdrDcPn9E1AZERERjYcoipNdwoSJxntlaCciiqF+qwu1Dd1htRUB7N7fAJvDHduipph+jxvbW5rDbr+/sxP9Hl5DIiKieCOXywEALpdrkiuZOCff68n3Ph4cHk9EFCPBYAh7q5sRDA63h+jwGpp7YbV5OLf9FB0OB5pt1rDbu/x+7OtoR7Y+MfZmJSIiShRSqRQmkwldXSdGFmo0GgiCMMlVxYYoinC5XOjq6oLJZIJUOv4FhxnaiYhixOcPwGKL7E5yMCTC7vSM3fAM0uuO/G58p8OBUCjELfWIiIjiTEZGBgAMBPdEZzKZBt7zeDG0ExHFiCAI47p7LJEk5h3n8ZKM8xom6p17IiKiqUwQBGRmZiItLQ3+BF+DRi6Xf64e9pMY2omIYkQhlyIzzYiDR9rCPkapkMGo59D4U2Xo9JAKAoIRLORSYEpiaCciIopjUqk0KoH2TMBxg0REMSKRSFA2MxtqVfgLj5QUpjO0nyZFo8E0c3LY7c1qNWYmp8awIiIiIqKJw9BORBRDRr0Kc2flhNVWLpdiaUUBNGpFjKuaWkwqNc7JL4A0zJ7zZTm5SFLzxgcRERElBoZ2IqIYUqsUOG/ZdMwuyRy1nVwuxdovlCEv2zxBlU0tc9LScenMWWMG9+W5eVhZUAQFh9sRERFRguCcdiKiGDObtLj0wnLkZSehqroFHd22gedkMgmm5adi6fwiFOelQKkc/x6eiUyrUODc/EKkaDTY3NiI2t6egTnuAoA8ownLcnOxMCsbJhV72YmIiChxCKIYwco+Ccpms8FoNMJqtcJg4L6+RBQbwVAIVpsb3X0O2OxuyGRSpJp1MBnU0GlVk13elGH1eNDjdqHT4YAoijCrNUjTapGkVo9rpXkiIiKiyRBuDmVPOxHRBJFKJDCbtDCbtJNdypRmVKlgVKlQnMSpBERERJT4OKediIiIiIiIKE4xtBMRERERERHFKYZ2IiIiIiIiojjF0E5EREREREQUpxjaiYiIiIiIiOIUQzsRERERERFRnGJoJyIiIiIiIopTDO1EREREREREcYqhnYiIiIiIiChOMbQTERERERERxSmGdiIiIiIiIqI4xdBOREREREREFKcY2omIiIiIiIjiFEM7ERERERERUZxiaCciIiIiIiKKUwztRERERERERHGKoZ2IiIiIiIgoTjG0ExEREREREcUphnYiIiIiIiKiOMXQTkRERERERBSnGNqJiIiIiIiI4hRDOxEREREREVGcYmgnIiIiIiIiilMM7URERERERERxiqGdiIiIiIiIKE4xtBMRERERERHFKYZ2IiIiIiIiojjF0E5EREREREQUpxjaiYiIiIiIiOIUQzsRERERERFRnJJNdgFERFONJxBAIBSEVJBALZdP+PmDwRB8/gAAQC6XQiaVTngNk30NEoE/EITfH4QgAAqFDFIJ76MTERHRUAztRERhCIRC6Pe40dDfj8r2NngCASikUsxNz0BJcjKSVGrIYxyenW4vrDY39h1qQWePHaIowmzSoqI0F0lGDfQ6VUzPHwyF0O92o9Fqwe621oFrMCctHTNSUmBSqaGYhBsIU43N4UZfvwuV1U2w2twQBAFZ6UaUzcyGUa+GRq2Y7BKJiIgojgiiKIqTXcRks9lsMBqNsFqtMBgMk10OEcUZt9+PfZ0deOPoEbQ77EOeT9FocNG0EizKyoFWEZvA1dPnwMaPa3Coth1eX2DQczKpBNMK0rDmvFJkpBogCELUz+/x+3GguxOvHTmMNvvQa5Cs1uCC4mlYmpMDnUIZ9fMnAlEU0dphwVsfVON4UzeCocF/flVKGcpm5uD85TNgNmknqUoiIiKaKOHmUPa0ExGNwhsIoLKjDX/bVwV/KDRsmx6XC38/sB/+YAjL8/KgkUc3uPf2O/HyW5U41tgz7POBYAiHj3XAYnPhK5ctQkaqMarn9weD2NfZgef27YUvGBy+RrcL/6w+AH8wiHMLCqHhkPkh2jqt+Pt/dqG7zzHs8x5vALv2NcDh9OCy1fOQZNRMcIVEREQUjziBjohoFL1uF/5VfXDEwH5SUBTxyuFD6HI6o3p+fyCI7XuPjxjYT9XRbcOmT47A5fZFtYYTgfzgiIH9pJAo4j9HatBut0X1/InA4fTg3c2HRgzsp6qp68De6mYEx/iZIyIiojMDQzsR0QiCoRD2trfD4QsvBPuCQWxrbh4z3EbCZnfjwOG2sNsfPtYJm8MdtfOHRBEHujph9XrCah8IhfBJcxM8gcDYjc8gFpsbdQ3dYbevqm6GzRa97yMRERFNXQztREQjsHo92NsRfmAGgANdHbCFGXDD0dppRZ8l/N57j9ePw3WdUTu/1ePBnrbIrsHBrk7Yvd6o1ZAI9tW0wh8I/2ZOR7ctrF55IiIiSnwM7UREIwiKYti97CfZvb4hC4x9HtZx9LZGEvLHEhRDEQdwh8+HoMih3Sf5A0HY7JF/H22O6N38ISIioqmLoZ2IaASCCEgiXIldKhEiPmY0Mmnkv6ZlsuhuuyaVRHgNBAECor+C/VQlkQiQRHgNgfF974mIiCjx8BMBEdEIlDIZsvSRbQOZqdNDJoner9bMdGPEobkwNzlq51fL5cjS6yM6JkOnh5yBc4BUIkFRXkpEx8jlUqQmR3bdiYiIKDFxyzciCovV60Gvy4VD3V1w+HzQKRSYlZKGFI0GRpVqssuLCb1SiRV5+ajqaA/7mGW5eUhSq6NWg9mkQUFuCo41hreIWXqqAdkZpqidXytXYEVeAfa0tSHcQf9Lc3KRpIreNUgEhXkpSDJq0G91hdV+Wn4qTHpeQ6LRhEIirHY3OrttaGjpRSAQhMmoQUlBGgx6FdSq6G6/SUQ0WRjaiWhU/mAQdf29eLu2Fkd6exA4ZRuq1yVHMD05GauLp6MkORkKaXSHZceDPKMRM5JTcKR37C3Xcg1GzEpJjer5DTo1ls0vQmNLLwLB0eeJCwKwZF4BjFEOe9l6A2anpqG6u2vMtpk6PeakpUOI4hSBRGDUq7F4XgHe+ejQmG0VcinOWlAErVY5AZURTU1OtxcHj7Rje+VxtHZYBj2nUSswszgd5y2bgfTUyEZLERHFI45fJKIRBUIh1PR04+ndu1Dd3TUosJ98/lB3N/6wZxcOdXcOeT4RmNUafKVsLgpNSaO2y9LrcX35PKRqtVGvoaQwDWu/MAfyUeaqSwQB5y2bgXmzcyGN8tD0JLUaX55Thmlm86jt0rU6rJ9XgbQYXIOpTi6TYlF5AVYsKh51tr9SIcO6C8pRkBvZcHqiM4nL48OOvQ145e29QwI7ALjcPlQebMYL/9mF9i7rxBdIRBRlgiiK0VvmeIqy2WwwGo2wWq0wGHhHluikDocD/7PtE/S6xx7Sa1Kp8P2zViBTl5jzcDsdDuxobcbutla02e0Dj6dptViQmY1lubnI1Olj1sPs8frR2NKLHVWNqK3vhNd3Yh90mVSCovxULC7PR3F+KrSa2PXOdjud2Nnagl1tLWix2QYeT9FoMD8zC8tz85Glj901SAQOpxe1DV3Yta8B9U09AzsNqJRyzChKx5KKAuRmmaFUcCAc0Uhqatvxl5e3h7VTx8zidFy1dgH0usScxkVEU1u4OZSfCohoWKIo4kBXR1iBHQAsHg/2dbQjvUgLSRQXYosX6TodLi6ZgbNy8tDv8cAd8EMplcGsVsOkUkEe46kBKqUcM4ozkJuZBJvDA5vDA1EUodepTvzTxv4DaapWi4umlWBJTi763e5Pr4EUSWo1klTqmF+DRKDTKlFRmovi/FTY7G44XV4IEgEGnRpGzsElGpPT5cWOqoawt9asbehGn8XJ0E5EUxpDOxENy+LxYFdrS0TH7G5rxeLsHJjVmhhVNblkEglStFqkTOLwb41GCY1GiYw046ScXyqRIEWjQYomMb/HE8WgU8HAEEEUMbvDg7qGsdfXOCkYDGHPwWZkpZsgl/PGIhFNTYnXHUZEUREIhdDvdkd0TJ/bHXbvBxERUaQcbh98/mBEx/RbnPD5AzGqiIgo9hjaiWgUkc1N5kxmIiKKN1xmg4imukkN7Zs3b8a6deuQlZUFQRDw6quvDnpeFEXcf//9yMzMhFqtxqpVq1BbWzuoTV9fH6677joYDAaYTCZ84xvfgMPhmMB3QZSYZBIJkiMcAp2s0UAq4acjIiKKDZ1GCZUystmdKWYdFFzckYimsEkN7U6nE+Xl5XjiiSeGff5Xv/oVfve73+Gpp57Cjh07oNVqsXr1ang8noE21113Haqrq7Fx40a8/vrr2Lx5M2655ZaJegtECcukUmFJdk5ExyzOzkGSKrp7hJ/K4vHgeH8fdrW1YGdrC+r6eiMewk802URRhMXmQn1zD6oOtWB/TQtaOvrhcHrGPpjoDGfQqTC9MD3s9jKpBBWleaNumUlEFO8m9bbjmjVrsGbNmmGfE0URjz76KP77v/8bl156KQDgL3/5C9LT0/Hqq6/immuuQU1NDd5++23s2rULCxcuBAA8/vjjuPjii/Gb3/wGWVlZE/ZeiBKNIAiYnZqGNK0WXU7nmO1TNBrMScuIyXZfDp8Xh7q7sLmxEbW9PQh+ulOlVBBQbDZjRV4+ytIyoFfGbrszomiw2d2orm3Hnv2NaG7vx8lNV+UyKYrzU7CkogjF+SlQKeWTWyhRnNKoFVg8rwA1dR3wB8ae2z6jOANJxtjdTCYimghxO6e9vr4eHR0dWLVq1cBjRqMRS5YswbZt2wAA27Ztg8lkGgjsALBq1SpIJBLs2LFjxNf2er2w2WyD/hHRUCkaDb46dx5MqtFXuTYqlfjq3HlIjcGK4g6fF5vqj+OPlXtwuKd7ILADQFAUcbS3F3/eW4m362ph83qjfn6iaLHa3Xhn8yG88nYVmto+C+wA4A8EcfhYJ55/dQd272+Ex+ufvEKJ4lxethlrziuFTDr6x9i8rCSsWTkbugnYEpOIKJbiNrR3dHQAANLTBw+BSk9PH3iuo6MDaWlpg56XyWQwm80DbYbz8MMPw2g0DvzLzc2NcvVEiUEqkWB6cgq+tXAxFmRlQSUbPDhHKZWhIiMT31q4BDNTUiGN8v7soihib0c7Xj96ZFBYH9IOwLvHarGjpRnBUCiqNRBFg88fwLY9x7FrX+Oo7QKBEN7cdBDHGronqDKiqUellGNBWR6uvmQBCnOTITltLRWjXo2zFhThy19chLQUwyRVSUQUPWfkqhz33nsv7rrrroGvbTYbgzvRCGQSCaaZk5Gh08PidqO2vxcunx8ahRzTkpKRpFZBpwh/WLrH74cvGIQgCFDL5ZCNEvT7PW5sbmhAaJTAfpIIYEtTIyoyM5Gimbx91ImGY7V7sOdAU1htA8EQtu2tR16OGXr2EI4qEAzC4w0Aogi5XAYlFxs7Y6hVCswrzUVhXgr6+p1o6bDAHwjCZFAjN8sMo14FhZw/D0SUGOL2t1lGRgYAoLOzE5mZmQOPd3Z2Yt68eQNturq6Bh0XCATQ19c3cPxwlEollJz7ShQRnUIBnUKBHKMx4mNDooh+twstNhu2tzTD7vNBKggoSDJhUWYOktRqaBWKIcd1OBxosPSHfZ5Wuw1NVitDO8WduoYuWO3hL5p4vLEbFpuboX0ETpcXVrsbe6tb0N5pQUgUodeqML8sD2nJepgM6pisr0Hxx6hXw6hXozAvZbJLISKKmbgN7YWFhcjIyMD7778/ENJtNht27NiBb3/72wCAZcuWwWKxYM+ePViwYAEAYNOmTQiFQliyZMlklU5Ep/AHg6jt68XLh6rRaLUMeq66uwubjh/HkpxcrJk2fcgWc802K8buYx+swdKP+ZlchJLiRzAUQlNrX0THBIIh9PQ5kJuZFKOqpq4+ixPvfXwY+w+3wOcfvBBZVXUzcrOSsPb8MuRlmSEdY84zERHRVDCpod3hcKCurm7g6/r6elRVVcFsNiMvLw933nknfvazn6GkpASFhYW47777kJWVhcsuuwwAMGvWLFx00UW4+eab8dRTT8Hv9+P222/HNddcw5XjieKAKIqo7evFM3t2we7zDdvGHQjgw4Z6uPw+XDW7DEnqz1b5DYYijezjO4YolkRRhBjGFI/ThfizPES/1YX/vLsPNXXDr1sjAmhq68cLr+7CVy5bhMJc9r4SEdHUN6m3oHfv3o2KigpUVFQAAO666y5UVFTg/vvvBwD88Ic/xB133IFbbrkFixYtgsPhwNtvvw3VKStZP//885g5cybOP/98XHzxxVixYgX+8Ic/TMr7IaLB+j1uvFJzaMTAfqqdra3Y3zX4g3jKOFajT9VGfwV7os9DJpUiyRj5z6VBz6HxpwqFQthf0zpiYD+V1e7Gu5sPwRbBlAQiIqJ4Nak97StXrhy190EQBPzkJz/BT37ykxHbmM1mvPDCC7Eoj4g+pza7PaI56duamzE3LWOgt73AZEKKRoMelyus441KJWampI6r1nBZPG64/H74gyHIpBKoZXIkqVScPxsBl9sHp9sHny8AiUSAQi6DQa+CXCad7NJipmxmNj7eWTdkOPdIsjNMSEnSxbiqqcVq96Cqujns9vXNvejtd8Kg5x7dREQ0tcXtnHYimtq8gQC2tzRHNCf9eH8frF7PQGhPUqmxICsb79TVhnX8vIxMmFSx+YDe53bhUHcXtjU3o66vF0FRhEQQUGBKwtKcHMxNz+ACeGNwuX1o6ejHrqpGHK3vhNtzYi/y5CQt5szIxvw5uUg16yGTJd48ZKNBjRnF6ThwuC2s9hWluTAybA7Sb3WhtdMSdvtQSMTeQ83Iy+bcdiIimtoY2okoJvyhIBxhDIs/VUgU4TzlGLlUipUFhWi2WnCoe/R9q6eZk3FhccmQveSjocvpwAsH9uHgabtVhEQRx/v7cLy/DztbW/C1uRXINnBP4OE4nF5sqzyO9z85PGSudm+/Ex9tP4q9B5tw+ZoKTC9MT7jgrlUrccHZs9DT50R7l3XUtuWzc1A+K2fI3tNnOqfLO65j/MEgQzsREU1p/CtGRDEhQBh1D/aRyCSDh0inarT42twKnJ2fD61cPqS9WibD0pwc3DhvPtJ10R9ObPG48a9DB4cE9tPV9fXhb/ur0OsObyj/mcQfCGJvdRPe21Iz6uJqNocHL71ZGVFv6lSSnmLAtZcuROn0LMjlQ6cC6LRKnL14GtZ+YQ6MBvayn248wVsqkUDCqStERDTFsaediGJCLZOhOMmMqo72sI8xqVQwqYYuvpWq1eKqWXNwQdE07G1vR5vdBhFAuk6HBZlZSFINv897NLTZ7ahqD+891Pb1oq6vF8nZXAzvVDa7G5/sPo5wFlB3OL3YXnkc6Sl6qJRDb9JMZYIgICPViCvXVMBid2NfTQv6rS5IBAE5mSbMKM6AUa+CUpFY7ztakk1aqFXygWkV4SjMS4FCzo86REQ0tfEvGRHFhEQiQXlGJt45Vhv2MPkTc9KHXzFbo1BAo1AgS2+AL3hiMS+5RBLTBeBcfj8+bmqIaF7+1qYmzExOhXGE93Emqm/uRZ/FGXb7mroOrFw2PeFC+0larRJarRJZ6Ub4A0EIgpDQi/BFi0GvxoyidFQdagmrvVGvRklBWoyrIiIiij0OjyeimElSqbAiLz+stkalEivy8qEMY066QiqFQiqN+YrtLr8PTZbR5x+frslqGbipQEAgEERt/ehTC07ncvvQ2x9+yJ+qBOHEyvkM7OFRq+RYtqAIGnV4o2qWVBRw2zwiIkoIDO1EFDNquRznFxbj7PyCUdsZlUpcX16BHINxYgoLkygCgVAoomMCIRGhcMaBnyGCQRGBYGTXEEDYW6PRmSU3MwmXX1QxanAXBODsxdOweF4hh8YTEVFC4F8zIoqpJLUal82YhRnJKdja3Iijvb0DQThJpca8zEysyM1DtsE4roXrYkkiCNDI5eh1h3+MRi7nwlenkMklYfeMnkqric0aBTS1yWRSzCrJwNcNZ2HX/kYcOtoOu9Pz6XMSTMtPxcLyAhTlJkOnZS87ERElBoZ2Ioo5o0qFpTm5mJWSCpvPC5fPD6lEgF6hhEmlCmtI/GQwKJUoS09Hsy38IfKzU1OhVzJwniSVSDBvdg52VTWEPQIhPdWAZBP3vKfhyWVS5GWbkZFqwLlLSuB0eREMiVCr5NBrlQzrRESUcOLzkzIRJSSjSjWlFmiTS6VYlJWDTfXH4QkExmwvFQQsz8uHSpaYC6iNV4pZh7wcMxqae8NqXz4rG0Y9tzyj0SkUMqSYdUgxR3+rRyIiongSX2NRiYjiTIpGgy/OmBnWkPeLppUgQ6efgKqmFoNOhQvPngWtRjlm26K8FMyfkzeuPbmJiIiIEhE/FRERjUItl+Os3DxcXToH+hH2gtfK5fjijJk4v7AYuhjtFz+VCYKA/JxkXHvpQmSkGoZtI5UIKJ2ehSvWVMDMofFEREREAwRR5DLHNpsNRqMRVqsVBsPwHyiJ6MzmCQRg8bixr7MDBzo74Q0EoJBKMTM1FQsys5CkUkMt57D40QSDIVjtbrR0WFB5oAkOpwcSiQRpKXosLMtHcpIWet3UmT5BRERE9HmEm0MZ2sHQTkThC4ki7F4vgqIIiSBAr1BAGmer3k8FLrcP/kAAgACVUg6lgkusEBER0Zkl3BzKT0lERBGQCMKUWkwvXp3YBo5TCYiIiIjGwu4hIiIiIiIiojjF0E5EREREREQUpzg8nojoDOMPBuHy+xESRcgkEuiVY2/FRkREiSsUEuF0exEKipBIBGg1Cki4XgtR3GBoJyI6Qzh9PvS53djV1oJjfX0IhELQyOVYkJWF6ckpSFKpIZdKJ7tMIiKaID5/ABabG4ePdeBIXSd8/gDkcilKCtMwuyQTRr0aKiV3RiGabAztRERngH63G2/X1WJLUyO8wcCg5w50dSJFo8Hls2ajLC2DW9cREZ0BnG4v9h5sxgdbj8Lu9Ax6rq6hGx9tr8W5S0qwqLwAOi1HZBFNJo57ISJKcFaPB/85UoP3648NCewn9bhceLZqLw50dcAfDE5whURENJE8Xj/27G/C6+8dGBLYT3K5fXj7w2psqzwOl8c3wRUS0akY2omIElxtXy+2NDWO2c4XDOLfNYfQ73FPQFVERDRZ+ixObPy4BiFRHLWdCOCDrUfQ3euYmMKIaFgM7URECczm9eCTMAL7ST0uF4709sSwIiIimkz+QBD7DrXA6xt+5NXpAsEQ9hxohM8fXnsiij6GdiKiBOb0+SMO4Xva2mD3emNUERERTSaH04vDxzojOubo8S44nPy7QDRZGNqJiBKYLxiAL8I56i6/D4FQKEYVERHRZBJFES53ZHPU3R4fxDGG0hNR7DC0ExElMKkk8i3cpIIEghCDYoiIKC7IZZFFAJlUCoB/GIgmC0M7EVECU8tkyDEYIjqm2GyGVq6IUUVERDSZVEo5stJNER2TmW6EQh75TWAiig6GdiKiBGZSqbAwKzvs9kqpFIuzcyCX8sMZEVEi0qgVWFieH1G/+aK5+dDrVDGriYhGx9BORJTApBIJFmZlI1OnD6v9stw8mNXqGFdFRESTKSvNiBnTMsJqW5SXgrxsc4wrIqLRMLQTESW4dK0O6+dVjBncl+XkYk3JdOgUygmqjIiIJoNBr8a688swrSB11Hb52WZ8afU8JBk1E1QZEQ1HELkUJGw2G4xGI6xWKwwRzv0kIpoKRFFEp8OBXe2t2NXagja7HQAgk0gwIzkFy/PyMT05BSYVhz8SEZ0p+q0uHDneicoDTWhq7UNIFCEAyMlKQkVpLmaXZMJs0k52mUQJK9wcytAOhnYiOnMEQyH0e9xw+wMIhEJQyqTQKhQwKhnWiYjORKIowubwwO3xw+8PQiaTQK2Sw6hXQ+BWIkQxFW4OlU1gTURENMmkEglSNOw1ISKiEwRBgFGvhlHP9UyI4hXntBMRERERERHFKYZ2IiIiIiIiojjF0E5EREREREQUpxjaiYiIiIiIiOJUxAvR1dfX4+OPP0ZjYyNcLhdSU1NRUVGBZcuWQcWtgoiIiIiIiIiiJuzQ/vzzz+Oxxx7D7t27kZ6ejqysLKjVavT19eHYsWNQqVS47rrrcM899yA/Pz+WNRMRERERERGdEcIK7RUVFVAoFLjhhhvw8ssvIzc3d9DzXq8X27Ztw4svvoiFCxfi97//Pa666qqYFExERERERER0phBEURTHavTOO+9g9erVYb1gb28vGhoasGDBgs9d3EQJd1N7oqnOEwjA5fdBBCATJDBOwSktTr8P3kAAEAGFTAadQjHZJRERnbFEUYTD6UUgGIIgABq1Agp5xLMv6XPy+QNwuX0QRUAmlUCnVUIQhMkui4jGEG4ODeu3ariBHQCSk5ORnJwcdnsiij2b14MupxNbm5vQbLUiEApBr1RgQWY2ZqakwqxWQy6VTnaZo+pzudBit+GT5kb0OF0AgCS1Gstz85BrNCFZreYHFCKiCeIPBGGxuVFb34WDR1rhcvsglUqQk2HCgrJ8mE1a6LTKyS4z4TmcXvRanKg80IiWDguCwRA0agXKZmajpCANRoMacll8/30norGF1dM+mlAohMbGRuTl5UEa5x/6R8Kedkpk3U4n/l1Tjcr2NgSH+d89Wa3BlaWlKEvLgEoWf70joiii0WrBiwcPoK6vd9g2BSYTrpkzF4WmJEgl3BSDiCiWPF4/auo68Oamg7Da3UOel0olKJ+VgwvPmQWzSTsJFZ4Z+ixOvPvRIew73IpgMDTkeaNejbVfmIOZ0zKgUsonoUIiGku4OTSiT7evvPIK/vnPfw58ffz4cRQVFaG4uBhZWVnYvXv3+Csmoqjrc7vwwsF92NXWOmxgB4BetwvP7t2Lg12dCISG/tGfbC12G/5f5e4RAzsANFgs+H+Vu9Fss05gZUREZ55AIITDxzrx0puVwwZ2AAgGQ6g82ITX3jsAi234NvT5WGxu/N/G/aisbh42sAOA1e7Gv96sxOFjnQgE4u/vOxGFL6LQ/utf/xp+v3/g6/vuuw+zZs3C/v378cUvfhF33XVX1AskovERRRH7OjpwoLNzzLbeYAD/OVyDfk98fbhy+/3YeKwWHQ7HmG17XC68WXsUDp93AiojIjozWe1uvPtRNfz+4Jhtq4+24Wj92H+DKHJHjnXgUG37mO38/iDe3XwINkd8/X0nosiENRa2qakJoiiirq4OSUlJA1+//fbb+MMf/gCDwYBbbrkFq1atQlNTEwAgLy8vpoUT0ej6PR5sb2kOu327w44GSz9SNcMPZQyEQrC43bB4PfAEAlDJZDCpVDCp1JDFaEh6v8eD/WHcdDipuqsL/W4PdIrYzKMMhkLo93hg8bjhDQSgkJ64Bknq2F2DeOMPBNDjdKHf7YbT54dKJoNZo4ZZo4b6DFkUMBQSYbW7YXd44PH6IZdLYdCpYNBz7iglvsbWXvT0O8Nuv2d/I2YUpcOoV8ewqjOL1e7GnoNNYbfv6XOgoaWXUxWIprCwQvuf//xnAIDL5cJbb72FXbt2oaWlBV6vF9XV1Th48CBCoRDcbjeeffZZAMD9998fs6KJaGx2rwfH+/siOmZ3ayvmpKZDLR88963T4cDO1hbsamtBm90+8HimTo+FWdlYmpOLdJ0uKnWf6lhfLxw+X9jtvcEAqrs7kWs0Rr2WLqcDu1pbsautBS0228Dj6VodFmZnYWl2HjL1+qifN560WW34+Hg93jp4BJUNrQOPz8hIwYVlM3DB9BLkGg1Tdn2TcPRbnDhwpA17q5vR2mEZeNxs0mLOjCwsnJuP9BQ9F0WkhORy+7C/pnXshqdobOmD0+VjaI8ip8uLppbI/r4fONyKmcUZ0KjPjJurRIkmrND+wAMPAABee+01JCcn44EHHsDdd9+Nc845ZyCc19fX409/+hPDOlGccPkDiHSVSZffD38oCDU+C+3NViuerapEo9UypH27w47Xjh5GVUc7bqyYjzyj6XPVfDqbN/Kh7uM5ZiytNhue27d32JsgnU4H3jh6FFXtHbixYj4KTElRP388aOzrx2/e34yPDh8f8tyRjh4c6ejB+4fq8MDaVZiekpyQwb27z4FX3t6LuobuIc/1WZzYvKMWh4624apLFqAgJ5nBnRJOIBiCx+sfu+EpQqIIry8Qo4rOTF5fAKEI15H2eP0IjDD3nYjiX0TjOe+55x5s2LABKpUKTzzxBH784x8PPPef//wHK1asiHqBRDQ+Cmnkw7XlUikkpwSNXpcLLxzYN2xgP1WzzYq/7a9Cr8sV8TlHoxzHUGNllFfA73e78feD+8cctdBqt+Ev+/aixxn+sNGpostmx++3bB82sJ/qUGsnfvbW++iwj70GwVRjc3jw5qaDwwb2U/X0O/HSG5URDR8mmiokEgGycfxelsvOjOlDE2U83wOpVAqJhDcSiaaqiH6LXnXVVaiursbzzz+PQ4cOYfny5QPPzZo1Cw8++GC06yOicTIoVUjTRjZ/bUZKCjTyz4bO1Vv6UTvKqu2nOt4ffttwFSWZI5orLhEEzEhOiWoNTVYLDveMHtQ+a2tFTe/YbYOhENx+PzyBAD7nrpsTotlqxbv7j4TV9kBzB3Y1tyAYHHuRqqmkp8+BmjAWfQJO9MgfOtqGUIx3YxBFEV5vAB6vH8E43PmBEo9aJUdRbmS/Y9OS9RySHWVatQKpyZFNSSvKS4FaxW3fiKaqiLukCgsLMX369CGPr169Gj09PVEpiog+P5NKhQWZ2Xir7mhY7fUKBeamZwz0tNu8HnzS1BjRObc2N2JWSiqMKlXE9Q4nWaPBjOQUVHd3hdW+KMmMdG305tY7vF58HOE12NbchLK0dJhUQ+dvWjwe9Lic2NHSDKvXC4kgoDApCXPTM5CkVEElj78PVBanG28eOjLiloHDeav6CJbm5SLDOPJ+o1OJx+vH7n2NEQ1HrTrUgvJZOTAZNVGvx+3xwebwoPpoO9o6LQiFRJj0aswrzUWSUQO9Ljr//xGdTiqRoHR6JjbvrIXLHd56I3NnZcOg43z2aDLo1Jg7MxvvfxLezVSNWoHS6ZmQniELphIloohD+zXXXIOXXnppyFy9zs5OnH/++Th48GDUiiOi8ZNLpViak4s97a3oCmPI9nmFRUg6JWx7A0G02m2jHDFUm90OXxR7WI1KFVYVFeN4fx/cgdHnRCqkUqwqKoYpSjcMAMATDKBtHNfAf9q8wWAohCarFa8crsaRnp5BAXh3WyveqavFWbl5+EJhMczq+Ppw6/L7cLg9vJsmJ9W0diIwBUYQhMvj9aO9yxrRMZ3dNvgC0R9t0G914aMdtaiqbh4Smrbvrce0glSsPrcUWelGzqmnmDAa1Fg2vzCswJiWrMe82bmQcXh8VMlkElSU5mH/4VZ09449HWnZ/EIuBEg0xUX8W7SpqQk33XTToMc6OjqwcuVKzJw5M2qFEdHnl6XX48Z5C0btfZYIAlYXl+Dc/EKoZIN7eiNd6CYWQ3SnJ6fgq3PnQTtKL7RKJsO1c+ZiTlpaVIOKiPFcA3HIMU1WK57esxOHuruH7bG2eb14u64W/zl8CBZPfO2lKwJDbkKMxRcITYlh/+ESxch/tkMhMerXwGJz4Y1NB7B197FhezkDwRAOH+vE3/+zK+KbDEThUinlWLagCGcvnobRft2mpehx1dr5EQ/jpvCkJutw1doFSEseedcSQQDOXjwNyxYUQaWMv5FcRBS+iHva33zzTZxzzjm466678Mgjj6CtrQ3nnXceysvL8eKLL8aiRiIaJ0EQMM1sxh1LlmJvezt2trag1W5DSBShlcsxKzUVZ+cVIM9ogl45eG9ziSBAp1DA4vGEfT6dQhn13j2lTIaKzCxk6PTY1tKEqo72gQXvTCo15mVkYlluLrL1hqgvQif99Br0RLDAnl6pgPSUxX4sHjderqkO6zU+aW5CsdmMs/MK4qaXVCpIkKKLbG2EVIMmofatl0ol0Goim5Or0SggHcdikCMJhULYd6glrO22unrteHdzDa5cOx86jXLM9kSRMujUOG/ZDEwvTMOufY2obeiC2+OHRCIgM9WIeaU5KJ2eheQkbdz8Lks0giAgP9uM9VctQ/WRNuw71IL2bitCIRFqlRwlBWlYVJ6P7Iwk6LT8PUA01UX8CTc1NRXvvvvuwErxr7/+OubPn4/nn38ekgT6kEaUKARBQIZOj9XFWizOzoEvGERIFCGTSKBTKKBVDB9GjCoVyjMyBu1JPpbyjAwYldH/cKCQSpFvMiFTr8f5hcXwh4IQAcglEhiVqqiH9ZOMShXmZWSiwWIJ+5g5aekwKD8bot/tdKK2N/z1PrY2N6MsLQNJcTJMPkWnxXkzirDlaH3Yx6ycOQ06ReJ8SNRrlSibmYNjjeF/H6cXpkEbxcW3rHYPqqpbwm5f29AFi9XF0J7gQiERNocb/k9Ht8ikEmg1SigVsfmdeCqdVokZxRnIzTLD6fYhGAxBIgByuQxGvYqfCSeAIAhINetwzpJpKJ+dA78/gJD46Y1GtYILABIlkHH9Vs/NzcXGjRtx9tln44ILLsBf//pX3kklinMSiQTJmvAXxZJJJFiUmYNNx+vhDoy9L69SKsPi7BzIY7g/t0IqRWqEK+J/HlKJBPMzs/De8WNw+MZedEkhlWJZTh4Un14DfzCIHa0tES3idry/D/0ed9yEdplUgiX5echKMqCt3zYwZeDUod+CAEggQBAEKOUyrJ5ZAr06ccKiIAgoKUyDyaCGxTb29AWJRMDCuQVQq6L3gbm334HWTkvY7f3+IPbVtCI7w8S/zwlIFEX09jtxqK4dVdUt6O61IxgMQatRYkZxOhaW5SM9VR/Vn8GRaBgOJ51EIkFSDBa9JKL4EdZt0KSkJJjN5kH/li5dCqvVitdeew3JyckDjxNR4kjRanH5rNljDnWWCgIunz0bqZqJC9QTJVmtwRWzS8e8BhJBwKUzZiFD99n8TX8oGNH0AuBEILZ7veOqNVZSNBrcfeG50ChkCIaGzlcXRSAoihAA3HXh2cgxGCen0BgyGdRY+4WyMXswBQBfOGsGstKjew1sjsh+jgDAZncjGOF6BBT/QiERDS29ePZf2/D6ewfQ0t4Pry+AQDAEq92NnVUN+MMLH2N7ZT2crvj6XUJEROMTVk/7o48+GuMyiCgeqWQyLMnOgUwqwVu1R4ddhT5Fo8HFJdOxIDMb6jjcsuzzUspkWJCZDakgwRtHj6DTOXSl3mS1BqunlWBx9uBrIEAY2EIvEhIhvoaVBiGiND0dP7/8Yjy5eTuqWzqGtClITcLXly/CioIChCSJswjdSXKZFDOnZeDqSxbg3Y9r0Nk9dNqIQafCikXTsHBuXtR7Hscz1FgQBPayJ6CuHhv+9foe9PSPvCtIIBjCOx8dgkIhxeLyQsjlsRsBRUREsRdWaF+/fn2s6yCiOKVRKLA0Oxczk1NR19eLqo52eAIBKGUylGdkoMScjCSVOqbD4iebRi7H4uwclJiTcay/D3vb2wauQVlaOmakpMCkUg8Miz9JKZOh0JSEyva2iM6VrImPofEndTmdeGzHVtxcsRCPXL4Wx3r68NGx47B7vVDJZFicn4d52ZnwBYP4zfYtuGrOHCzJTryhmkqFDLOnZyI7w4TWDgv217TA7Q1ALpOgpDAdJYVpMOpVUMijP5841ayDXC6F3x/+NnL5OeaoLoZHk88fCGLn/sZRA/tJIVHE5h11mFmcgeQkruBORDSVhfXJwul0QhvBPNJI2xNRfJN/Opc8VavFvIxMBEIhyCSShOxZH4lMIhm4BuXpGQiEQpBKJNCMcg0kgoDyjEy8c6w2rDnxAFCalgaTKn5CuycQwNaWRrj8fjy2cxt0CgWumFWKry2swInB4EC/14WnK3cNjEL4pKkJM5NTYVSpRnnlqUkqkcBs0sJs0mJ6UToCgSAkEgEqpTymvdpGgxrT8lNRUzd0lMOw7fVqlBSkxawemhxWmxvVR8K/CdhvdeF4Uw9DOxHRFBdWaJ82bRq++93vYv369cjMzBy2jSiKeO+99/DII4/gnHPOwb333hvVQokoPpxJQX0kkVyDJJUKS3Ny8d7xY2O/rkyGc/MLR70RMNGcPh+O9fUNfO3w+fDcvr2jHtNo6YcnEEDizWwfTKmQTcgq3QCg0yixdH4h6hq7w+ptX1SeD4M+8W6anOksNhf6reFvQQkAh491Yu7MHCiVE/OzSkRE0RfWb/APP/wQ//Vf/4UHH3wQ5eXlWLhwIbKysqBSqdDf349Dhw5h27ZtkMlkuPfee/HNb34z1nUTEU0JarkcFxZPg93nxY6WkbfsUstkuLasHIWmpAmsbmwiRPgjXMzMFwxCROLNa59shbkpWHf+XLz2/v5Rg/uSikIsrSiMyTB9mly+CKZHnBQIBBEMcUFCIqKpLKy/6DNmzMDLL7+MpqYm/Otf/8LHH3+MrVu3wu12IyUlBRUVFXjmmWewZs0aSBN4XisR0XiY1RpcOWsOpiUlY1tLM+r7+wYirVomx5y0NJxbUIhCU1LM9pwfL4kgQBVhTSqZDFIugBZ1KqUc80pzYDZpsK2yHnUNXfD6AgBOfJ/yc8xYMDcfM4szYNCxlz0RqVWRj8JRKmSQybi2ARHRVCaIp+/dcway2WwwGo2wWq0wGAyTXQ4RJShRFNHv8aDP7YLN64VMIkGyRgOTUgWtIj73OfYHg3jt6GG8WXs07GMWZGXh+rkVcfueEoHL7YXV7oHF6kIwJMKgU8FoUMOoj5/1ECj6+ixOPPuvbegYZveCkay/YilKZ2TFsCoiIhqvcHNofHXpEBElMEEQYFarYVZPnWAll0qxKCsHm+qPwxMIjNleAHB2XgEDe4xp1Epo1EpkpiX6ygF0KqNBjfLZOej46FBY7TNSDchM588IEdFUx/FSREQ0qmSNGheXTEc4A96X5+Ujz8iQQBQLUokE82bnIj/bPGZbpUKGC86eBaNh6twkJCKi4TG0ExHRqDRyBc7OK8Bls2aPOL9dJpFgZUEhvjhjFgxKzqcmipXkJC2uXDsf0wvTRryRZtCpcMXF8zG9KB1SCT/qERFNdZzTDs5pJyIKh8vvQ5/LjV3tLaju6oInEIBcIsU0czKW5eYiTaOFTqmc7DKJzghWuxud3Tbs2teIzh4bQiERWo0CZTOzMaM4HSaDBnIZFwcmIopnnNNORERRpZEroDEqkKHX49y8QoQgQoAAnUIRd6veEyU6o/7EwoO5WUnweAMQRRFSqQQGnQoCd28gIkoo4xoz9fHHH+OrX/0qli1bhtbWVgDAX//6V2zZsiWqxRERUfyRSSQwazRI0WiRrNEwsBNNIrVKgSSjBmaTFka9moGdiCgBRRzaX375ZaxevRpqtRp79+6F1+sFAFitVvz85z+PeoFEREREREREZ6qIQ/vPfvYzPPXUU3jmmWcgl8sHHl++fDkqKyujWhwRERERERHRmSziMY1HjhzBOeecM+Rxo9EIi8USjZooBoKhELyfznmTy6VQyDmclc5MIVGE2++HCBFyiZRDu4mIiIgorkX8aTUjIwN1dXUoKCgY9PiWLVtQVFQUrbooStweH6w2N/YfbkVrhwWhkAi9ToX5c3KRYtbDqOeCNXRmcPv9sHg82NfZjtreXgRCIeiVCizOzkW23oAktRoS/r9ARERERHEm4tB+880347vf/S7+9Kc/QRAEtLW1Ydu2bfjBD36A++67LxY10jj1W134YNtRVFU3w+P1D3qu8kAT8nLMuPi8OcjNSuI+rpTQLB43NtUfx8eNDbD7fIOe297SgnyjCV+aNRszklMgl3KLJCIiIiKKHxHv0y6KIn7+85/j4YcfhsvlAgAolUr84Ac/wE9/+tOYFBlribhPu8XmwuvvH8D+mtZR25kManzlssUoyEmeoMqIJpbN68FrR47gg4bjo7bTKRS4af5CzEpJ5U0sIiIiIoq5cHNoxKH9JJ/Ph7q6OjgcDsyePRs6nW7cxU62RAvtoihi6+5j+M/G/WG1L85PwTVfXASjXh3jyogm3p62Vjy1eyfC+UWXYzDg9sVLkaLRxrwuIiIiIjqzhZtDx70Ck0KhwOzZs8d7OMWQ1e5GZXVz2O3rm3vR1+9kaKeEY/N6sKWpMazADgAtNhuarBaGdiIiIiKKGxGHdo/Hg8cffxwffPABurq6EAqFBj3Pbd8mn8XqRktbf9jtQyERew81Iy/bDKmUw4IpcTh8Phzu6Y7omO0tLZiZnAqNQhGjqoiIiIiIwhdxaP/GN76Bd999F1deeSUWL17MlcfjkMPlDbtn8SS7wwtfIAg1QzslEJffD/9pNxbHYvd64QsFoYlRTUREREREkYg4tL/++ut48803sXz58ljUM0gwGMSDDz6Iv/3tb+jo6EBWVhZuuOEG/Pd///fAzQJRFPHAAw/gmWeegcViwfLly/Hkk0+ipKQk5vXFq/H0lkulAre7ooQjG8eCclKJhP8vEBEREVHciPgTbXZ2NvR6fSxqGeKXv/wlnnzySfzv//4vampq8Mtf/hK/+tWv8Pjjjw+0+dWvfoXf/e53eOqpp7Bjxw5otVqsXr0aHo9nQmqMR2ajBmqVPKJj8rOToZBzqytKLBq5HCmayPrMC0wmqGWR/f9DRERERBQrEfe0//a3v8U999yDp556Cvn5+bGoacDWrVtx6aWXYu3atQCAgoIC/P3vf8fOnTsBnOhlf/TRR/Hf//3fuPTSSwEAf/nLX5Ceno5XX30V11xzTUzri1cGvRozitJRdaglrPZ6rQozi9M51YFiyuX3o9/jRnVXJ3pcLsglUpQkJyPHYESSShWTbdaSVGpUZGZh47G6sNorpVIszs7hXu1ERBQWt8MDW68dtZXHYem2QSaXoaA0BxkFaTCk6CHhFqJEFAURh/aFCxfC4/GgqKgIGo0GcvngHqm+vr6oFXfWWWfhD3/4A44ePYrp06dj37592LJlCx555BEAQH19PTo6OrBq1aqBY4xGI5YsWYJt27aNGNq9Xi+8Xu/A1zabLWo1xwO1So5l84tw5Hgn3B7/mO0Xzs2DgSvHUwy12mx4s/YIDnR1wuX/7GfynWO1yDEYcG5+IRZmZUOvVEb1vHKpFGfl5GJ3awv6wxh9szg7B2Y1/18gIqLRiaKIrsYefPTSVtTuOQ6P87PPlZ+8sgMZhWlYdFEF5qyYCQ0/YxHR5xRxaL/22mvR2tqKn//850hPj23v7I9+9CPYbDbMnDkTUqkUwWAQGzZswHXXXQcA6OjoAACkp6cPOi49PX3gueE8/PDDeOihh2JWdzzIzjThS6vn4ZV3qkYN7ksrCrF8YTGUinHv/kc0qmabFX+s3I2WEW6Otdhs+PvB/bD7vDi/sBjaKK/anqk34Pry+XhuXyUsowT3+ZlZWDt9JnSK6N44ICKixNNR34WXHnkNXU09Iz7/xtPvwmlzYcna+dDoGNyJaPwiTmpbt27Ftm3bUF5eHot6BvnnP/+J559/Hi+88AJKS0tRVVWFO++8E1lZWVi/fv24X/fee+/FXXfdNfC1zWZDbm5uNEqOGwq5DKUzsmAyarCzqgE1dR1wuk7cBZZKBBTmpWDh3HyUFKRBr1NNcrWUqKweD/59qHrEwH5SSBTxxtEjyDUaUZGRFdUaZBIJZqWm4o7FS7GlqQlVHW0Dve4SQUBRUhKW5uRhbnoGe9mJiGhM9n4H3v3LhyMG9pNCIREf/eMTZBamY+biaRNUHREloohD+8yZM+F2u2NRyxB33303fvSjHw0Mcy8rK0NjYyMefvhhrF+/HhkZGQCAzs5OZGZmDhzX2dmJefPmjfi6SqUSyigPw41HcpkUBTnJyEg1YOWy6bA7PAiGQtCqFdDr1DAwrJ9xHD4vPP4ARAASiQCjUjWuFdbD1eNyoibMfdKDoogtjY2YlpQ86jD5LqcDgU+3cZNKJEhVa8acMyiTSJBvSkKGTo9VRcWweDwIhILQyBUwqVQwqVRTak2H7n47AsHPrkGyUQPpFJqHHwqFYHN4EAqd2JxSIZdCp43s95HV44E/GIQoADJBgEmljuh76PL74fL7IIonbt4YlMozbi0Dt8c3aCSWXqeCXBb+NfAHgnA4vRDFE99HtUoOtSq6I2VizeP1w+X2AQAEAdBqlFDIOfKMRtfXbkH9/saw2gYDIezZuA+5M7OgNXAzUSIan4j/Mv3iF7/A97//fWzYsAFlZWVD5rQbDIaoFedyuYZ8GJdKpQh9+oG9sLAQGRkZeP/99wdCus1mw44dO/Dtb387anVMdSqlHCqlHGnJE7PqP8WfPrcbzVYrtjQ1oNVuQzAkQqdQYG5GBhZmZiNZo4FKFt0Pqv5gENtamgcCdjhqerph9XiGhPZQKIQOpwP7Ozvw7rE6NNusAIBMnR4XFE9DRUYm0rW6MUOXUiZDuk6HdJ0u8jc0yYLBILr7naip78B7O4+gqaMPIoDMZAPOWzgd82ZkI9mohVIRvyvf+/1B9FtdOFTbhgNH2uBweiEIAtKSdVg4Nx+5WUlIMmpHfY0elxN1fX3Y2tyELqcDogiYVCoszM5GWVoGUjSaUW9EWT0etNlt+LipAY0WK/yhIDRyOeakpWNxdg5SNFpo5PF7DaPB7vCgq9eOXfsa0NzWD38gCJVSjpLCNFSU5iI5STtq+PZ4/eizOLG3ugVHj3fC7fFBLpMiK8OExeUFSE/VwxDnQ4EdTg+6eh3Yva8RjW298PuDUCrlmJafivlz8pCcpIVGPbVuQNDE8PsC2PfhQQQD4f9tO76vAY5+J0M7EY1bxJ/SL7roIgDA+eefP+hxURQhCAKCwWB0KgOwbt06bNiwAXl5eSgtLcXevXvxyCOP4Otf/zoAQBAE3HnnnfjZz36GkpISFBYW4r777kNWVhYuu+yyqNVBNJW12W148eB+HOoe3OPd63ah0WrBpuPHcPmsUizKzoZGHr0Pqd5gAL0uV0TH+IJB2HzeQY/5g0Ec6u7Cr7duwZHewUMRGywWbGtpRpEpCXcvPxtlaWlQJuB2bT5/AMdbevDo3z/EgeNtg56rb+/F1oP1KEg3467rvoDZxRlQK+MvbHh9AdTUtuP/3tsPh3Pw97jP4sThY53Iy0rCly6ah+yMpCHHi6KIeks//ra/Ck1W66Dnet0uHOvvw7uqOlxbNhdz0tKhGOYGTrfTiZdrqrGnrRXiqed3u9Fis+GD+uNYO30Gzs4riPqiiPGiz+LEOx8dwr5DLQiJp14FNzq6bdi+tx4rl07H0vmF0A8z+sHp8mLXvka8/8lheH2BQc919zmwv6YFpdOzsPYLZUhOGv0GzGTpt7qw8eMaVB5sGhjtcYIbnd027KiqxzmLS7B8UfGw14DObD6PD/1d1rEbDjrGD5ctsr+HRESniji0f/DBB7GoY1iPP/447rvvPtx6663o6upCVlYWvvnNb+L+++8faPPDH/4QTqcTt9xyCywWC1asWIG3334bKhX/0BJ1O534y74q1PX1jtjG6ffj7wf3QyIRsDQ7d9KHCJ8+wPlYfx8e+PB9tNrtIx5z3NKP+z94H79YdSHmpmfEtsBJ0NzZjw1/egfH20f+PjZ09uEn/+8t/PRbl2Du9OwJrG5soZCIo/WdePmtvUOC3qma2vrxj9f24KtfWoy0lMGjtlpsNvyxcg86nY4Rj+/3uPFsVSVunr8QZaf9HPS73Xixej/2jbJIqTcYxCs1hyARJDg3vwDqBOtxtzncePODg9hf0zpiG78/iI0f10AQBCxfWAy16rNr4PX5sedAE9768CAG5f1TiCJw8EgbgsEQLr+oAkZDfPW42x0evPPRIVQebBqxTSAQwqatRwAA5ywpYY87DSIAEIb8pQr3SCKi8Yk4tJ977rmxqGNYer0ejz76KB599NER2wiCgJ/85Cf4yU9+MmF1EU0FoVAIle1towb2kwKhEN44egQzklOQpo3O0HGVTI5MvR4HujrDPkYtk8Fwyg03i9uNf1YfGDWwn9TtcuLvB/cjW69HsiY+e/jGw+pw4/WPDo4a2E/qsTnxz42VyEwzItUUP1MArHY3Nn1yZNTAflJHtw079zVg9TmlkMtP3EDyBALYVH981MB+ksvvx5u1R5FjNCJJ9VlgPNLbM2pgP0kE8FbtUcxNT0+40N7U2jdqYD/V5h1HUTo9E2qVceAxi82NTVuPjBjYT1VT14FjTd2YPydvvOXGREuHZdTAfqqPd9WhbGY2QzsNolArkJydhNrK8I9RaZXQGjk0nojGb1yTWC0WC/74xz+ipqYGAFBaWoqvf/3rMBqNYxxJdGYKBkOw2t3o6XPA7vRCJpMgLVkPo04FjSY2w3D7PR7saG0Ou32Py4Xa3t4RQ7s3EEC/x4N2uw3ugB9qmRyZegNMKtWw8+FlEgkWZ+fgw4Z6+MKcNjM7LQ0m5Wehvd/jxkcNDWG/h0+aGnDjvPkxC+3eQAAWjwftDjtcfj+UUhmyDXqYVOqorwlwks3hwaY9R8Nu/8mB4/iaZXFchfaObhtaOyxhtz94pA3L5hchOenEe7B43Njf2R728cf6+9DlcA6EdqvHg63N4S0aBQBOvw+V7W1I1+ogjeFCjRPJ4fJiZ1X418DjDWB/TQvSkvWQSiUIhkKoPto+sGhbOHbvb4yrHUpcbi927WsIu73fH0TlwSakp+ghG2aBvpO/17t67XC6fJDLJEhLMcCoV025BfkofDK5DOUr52D3O/sQCONGJABMqyiE3hw/v5OJaOqJ+FPm7t27sXr1aqjVaixevBgA8Mgjj2DDhg149913MX/+/KgXSTSV9Vmc2HOgCftqWtDV81mPsVIhQ0lhGs5aUIS8bHPUVyy2eb1D5v6OZW9HO+ZlZA7aK10URbTabfiwoR5VHe2D9jo3KlUoz8jAeQVFyDYYIDlt9e5ktQZz09Oxu23wPOzhKKRSnJNXMOjcB7u6hsxxH407EMTutlZMT04J+5hwiKKINrt94Br0ez7bQcOgVGJuega+UFiEHL1hzJXsI1Xb1I0emzPs9r5AEHsONWFGQXpU6xivYDCEg4fD6909qc/iQk+fYyC0N1utsHrD/zkIiSL2drRhRsqJnwN3wI+6vr6Iaqju6sKKvHyYVPE1vHu8PB4/GlvHHq1xqqP1XVhSUQiTQQOn04ujx8MfNQMADc29cHv8cRPa3Z4AGloiuwZ1Dd2wO71IOq2XtLffiV37GnDgcCu6+z4bAaJSyjGjKB3LFhQhNzNpYLQIJRZTmgHTFxbj0KfTKEYjV8qx8MJ5UMfJ/wdENDVFnBK+973v4Ytf/CKeeeYZyD7tWQoEArjppptw5513YvPmzVEvkmiq6u134OW39qKuYei2Z15fAAePtKGuoRtfumgeSqdnRjW4ewLh9QAMqikQQFAcvCJuvaV/xLnEVq8HmxsbcLinG1+vWIDiJPOgbbf0SiUumzkbFo931GH6MokEl88qRVGSedDj9ggC+8AxEYS7cDVaLfjT3j1oG2aYvs3rxZamRtR0d+Pr8xdgujk5qtvHOdzjuAau6F+D8QoEQvCE2Rt1Krf3s2Ncfv8oLYfn8vsRDIUglUgQCIlhj/Y4yRMIIBjOOPApIhQKhTU94VQ+X2BgobZQSIz4+EAwhGAw/BW2Y20818DvDwxsaXdSd68d/3qzEg3NQ3+nebx+7KtpQW1DF65YU4GZ0zIi2kaPpgadUYtVXz0H9j4Hmke5KSlTyHDh+pXInp45YhsionBE3CW0e/du3HPPPQOBHQBkMhl++MMfYvfu3VEtjmgqc7i8eGfzoWED+6k8Xj9efacK7Z2R9YqPRTmOD4oKqRRS4bNfC90uJ/66r2rMucRdTif+sm8vuodZLT5Dp8fXK+bjguJpMKsH91pKBQEzklPwjfkLcFZu3pA5xOPZeuvUnvpo6HW58Pz+fcMG9kHt3C78pWovupzh94qHQ6MaxzWIozm4UpkwrtCiVHz2N2Y8Uw9UMtnA0HapIIy6Ddyw55dJIUmghaMEiSTi74NcLoNEcuIaSCSRfx+lEgFSafxcw/G8B5lMOugmnN3hwZsfVA8b2E/lcvvw77erBo2uosSSmpOMK+5ci6XrFsB42sKZUpkEhXPzceX3LsG8L8yBKkbT4IjozBHxJyGDwYCmpibMnDlz0OPNzc3Q67kPONFJFqsL1UfCm4fr9vixc18jMtKMg8LK52FQKpGl148ZNk81Jy19UFCu7e0Z2BP9pGAwBBEn1sGVSj8LQm12Ow73dCNNO3Q+eZpWhy/NnI3zCgrRYOlHn9sDuVSCPIMJqVrNiEOQT9YTbk+rXCLB/MyssNqG67ilD/WW/kGPBcQQRPHENTg1DHY6HTjY1Yk0rTZqve0leWkwatWwOt1jN/60noqZuVE5dzTIpFKUTs8Me/EvADDq1Ug5Zf5nrtEInUIBhy+8+dQCgHkZn/VsqWQyFJqSUBvGoownzUhJSaht31QKGfKyzKht6Ar7mMLcZGjVJ66BRq1EcX5qRMPLc7PNUCrjZzE/5afX4PCxsRckPKkwNwVazWc3wXotThyuC+/3utPlxZ4DTUhN1kV9+hPFh+QsMy64fiWWrl2A1toO2HrtkClkyCpOR1K6ifPYiShqIu5p//KXv4xvfOMb+Mc//oHm5mY0NzfjxRdfxE033YRrr702FjUSTTn+QBB7q5vhD4Q/JLemrh02R3jBLBwmlRqLsnPCbp+kUmN2atpA2LR43NjafGIhu5AowucPoN/qQlunFa0d/WjrtKDP6oTPHxjY73lbc9Og+d6nUkilSNPqsDg7FxdNK8H5hcUoSU4edc6wWa3G2Xn5Yb+Hs3LzkBrFRehsXg8+aToRNkMQT+w973ah2WpFk9WCJpsV3S4nvMHPrsGO1mb0nzLv//My6lQ4r6Ik7PZLSwuQmhRfHxSzM0xITzWM3fBTpdMzYdR/Nv/TpFJhTlr4c/QLTEnI0H12DZLUapyVF/4q5mqZDIsycyLunY9nep0KC8vD/39JLpdi/pzcgTnZMpkEc2dlQ6UMP3wumJMHoz5+1gTQaVVYPC/8ayCTSrCgLG8gcPv8Aeze34hgKPxpE9VH22B3RO/3AcUfhVKO5Cwz5p47GysuX4KllyxA3qwcBnYiiqqIP5H85je/weWXX47rr78eBQUFKCgowA033IArr7wSv/zlL2NRI9GU4/UF0NFti+gYh9MLlyv8lZnHIpNIsDgrB7mGsXd1kAgCVk+bBtMp2635QyF0OR0IhkKw2FxobO1DR7cVDpcHLrcPDpcXnd02NLb2wWJzIRgMocvpRCCKc1jNag2uLi1DqmbsD/4mlRLXzClD6jA9/ePlDQRPXAMxhH63G8f7+9Bis8Hm9cLh88Hu9aLNbkddXx963C4EQieuQTAU2fzp0Zj0GnxxZRkyzWOHXoNWjStXVSDNHF+jnowGNc5dWgKZdOw/OSlJWiyeVzioZ1IjV+D8wuJBW7iNRCmVYvW0kiFtZ6ekYUaYCxR+obAYZk3ibc9UmJuM6UXh3fxYNr9oyOJrJoMGKxZNi+BcaRHXGGu5WWbMLglvfvGSigIkJ332+8Tj8aO7N7Lh7v1WV8Tz6ImIiE4XcWhXKBR47LHH0N/fj6qqKlRVVaGvrw//8z//A2UCDSUk+lxEccjiReEIRdCDE450nQ43VsxHoSlpxDZyiQRfmjkbS7NzoTx17rAIBIJBWG1udHbbERhh1EAgEERntx0WuzuqYfWk6eZkPLDyfGSPMv0mTavF/ed+AaWp0V8xPRgKweLxoNVmg2+EGxKBUAgddjt63S74Q0FE+duI/Cwz/vsbF6EwM3nENqkmHX58w4WYVZgR3ZNHgVQiQWlJJr54YfmoPbXpKXpcfclCZAzTK59nNOLrFfOHnX5xklauwHVz52HOKSNGTkrWaPDVufMwKyV15DoFARdNK8F5hUXjWk8h3pkMGlx6YTlmFo/8MyIRBKxYNA3nLJ4GjXrw33S1So5l84tw3rLpkEpGnv4xrSAVV6ypQJIxNlsvfh5GvRrrVpWhdPrI02gkgoBl8wuxcul0aE+ZiywCAyNqIhHt3+tERHTmiXiSldVqRTAYhNlsRllZ2cDjfX19kMlkMBjCHwJJlKjkchkMusiGhcrlUqjV0Q8KeUYTvrlwEY729mBrcxNabTYERRE6hQKlqek4KzcP6TrdkJAikQjQyBSfbmc01odOEd29dszKSB2y7dvnpZLLUZGeid+tuQTbW5qx8Xgdmq1WiBCRpTPg/KJirMjLR4ZWB1WUg5ZMIkAjV6DdYQ/jCpyY0z4jOSXqe3urFHLMLs7AL+64FHsONWHTrqNoaO9FSBSRlWrEF+ZPx7LyQqSadVAr42cRulOpVQpUlOYiLysJe6tbcKi2DQ6nFxKJgBSzDhWleZhelIZk0/DrAUglEsxIScV3lpyFg10d2NHSgm6XE6IowqhSoSIzE4syc5Cm00EhHX6xsUy9HjdWzMfx/n580tSIRqsF/mAIGrkcs1JTsTw3D5l6PXSKxL0BnWrW4YqLK9Dc1odd+xrR0m6BPxCESilDcX4qFpUXIC1FD90IC2fpdSqcs7QEM6dlYPf+RtQ1dMPt8UMmkyA73YRF5fnIyzbDZIjfkQrJSTpctrocC+fmYde+RjS39cMfCEKpkKEoPwWL5uYjI9UAnXbwFl0KuRR6bWTbdqmU8ria109ERFNTxKH9mmuuwbp163DrrbcOevyf//wn/u///g9vvvlm1IojmqqUChnml+Vhb3UTwu2YmZafCp0mNvu4pmi0SNFoMTs1Hf5gECFRhFQiQK9QDu5dP4VerkBpUio+CNWGdQ5RFDEzKRU6efRDo0ImQ57RhCydHufkFwz0dkkEAclqDeQjhLTPS69UYXZqGl6v/WwvXlEUceK/EwueCRAGQqYoAtOTU6CNQS+tQiZDTpoJGckGLJ1bgBM784mAIMCkV0OliP9goFTIkJVuQmqyHsvmFyIUEiEIAmRSCQx61ZiL90kEARk6HdK1xZifmY1gKAgRgFSQwKhShTUH3azWwKzWYHpyMryBE/8vSAQBeoUi6jd94pVRr4ZxRjYKclPg9Z7Y0kwiEaBR/3/27ju8rew88P/3XvQOsPcuUaIoqkujOpoZzYynjz1jO4l7S2InzsZO4k2e3Xh/yebJJtndrNMTJ5PEcZ/Ynt57Ue+VkkhRJMUmdgIE0e/5/QGqUGwABVAgdT7P42REnEMcksDFfU95XyPmBAJMm8VEZamJonwX/rHw1b+jyaibFOhmKpfDgsthoaIkm+D470BRFaxmAxbz1Ncwi9nIupVlnDrXlfDz1FblZ1Q1BykzhcIRfKMhQuEoAoHZaMBuMyX0fpQk6faQdNC+f/9+/vIv/3LS13fu3Ml/+2//LSWDkqTFIC/bTnlxdkLZllVFYePqCuy29K7wXX9mfTb+sTDLPDm4LRaGA7MnyHOZzdRn5zE2FsbkSk+mZL1OR4F9/s5re4NBqrOyyLXauDx+vj+sxYhp17bJ61QVg6qiV3U4jCYa8gsIRCOTytelil6nkp/A+fZMZtDryHLPfeu0oiiTygcmy2kyw+JdUE+I3WqadkU9ESajAdMCmCyaic1qmrAFfjZF+W6KC9x09gzP2lanKmxYXY5VBu3SNELhKN2XRzh4oo3G5m5G/SEg/rpcXl3AhlXlFOa7ZPAuSVLyZ9pDoRDR6OSkKpFIhEACN/aSdLtwOSw8dHf9pGRON1KAO+9YQkXJ9OeVbwUtJuhqG+IrmzbOer7XrNfzpY0b6GofXlTnN2NC0DwwwFfWrkOvKgSikQkBO8TPvAejUTSh8ZW16+nyeomkMBmfJEmZw+208PA9K3HaZ54AVRWFe7Yto6Rg+nwi0u0tGIpw7EwHT/10NwePt14N2CFeLvDQyTae+ulujpy6RDCUWNlTSZIWr6SD9o0bN/Ld73530tf/8R//kXXr1qVkUJK0GCiKQkmRh089vpGlVflTZs7Octt44O56tm2sSWq1Z76cbOzC4BX89vZtLMvP48bNywqwLD+X396xDeuYwvGTl5jUaAFTFDjc3Umv38/vbN7GqvyCKc/sL8/J5Xc3byMSi/Ju68WUn+uXJCkzKIpCeXE2n/roRmoqcqdMyJebZeeRe1eyeW2VXGWXptXc2sfzbxyfsbpAOBLjxbdOcLa5Z07JbSVJWjyS3sP6J3/yJ+zatYvjx49zzz33APDWW29x8OBBXn/99ZQPUEodIcT4WebFU3s40+lUlbLiLD758DqGRsY40diJzx9EVRWqy3OpLM3G6bBg0KfnTPbNMBn15Oc4eH/PeVYsK+KLDWvxE+FITzfBSASz3sCagkLsioGW5l5One1iaWU+JkPm/SxzZdEbyLfbeeroYbaXVfCphtVomuBITxdjkTBmvYHV+QVYDUb2XGrnrYsX+EjNkrSdsU+1mKbJ64EkJUmvV6kszeGXHt3A4LCfE42d+MdC6HQqSyrzKC/Owmk3o8/A67qUGby+ALsPNROJzF5xJRrV2HO4hcqyHFyOmzsWJEnSwpV00L5161b27t3L//7f/5unn34ai8VCQ0MDTz31FEuWLEnHGKWbEInG8PoCtHYM0HppkJimkeW2smJpES67GWsGru4uRg67GYfdTGmRh2hMQ1WVjA+W7DYTG1ZV0Njcw6mzXZw5101pkYeaXCc6g0osonHhWA/tnYNXE8NtWFW+YBJRJUJVFdYWFvGTUyd5v72VDy+1sTwnl5qsLFwmJ6FolDdaLnDicg+x8d/BmoJCDBn6t41pGkPBAO0jI5zpu0w4puEymVlbWES21RI/5y1JUkKcdjNOu5ny4qwFc12XMsPgsJ/WS7Pnu7mivXOQ/sFRGbRL0m1sTtmiVq9ezQ9/+MNUj0VKMd9okIPHWzlwvI3BYf+Ex97b10RtdT67ti4jP9c5a9ZmKTUURcnIVfXplBR6qKnIpbm1D00I2joHaescnLJtZWk2ZcVZ8zzC9PKHw5h1BjaXlLGnox1NCE739XK6r3fK9vV5+RTYHYxFItiMmbUt1h8Oc6i7k7dbWuj0eSc89kZLM7XZOTxau5wKt1sGHpKUhIV2XZduvbbOQWJJ5H/RhODipQGqy3PTOCpJkjLZnIJ2TdNobm6mt7cX7YakTDt27EjJwKSb4/MHeWfvOT48eGHKx0PhKCcaO+nt9/HLj22gMM81zyOUFgK308Jj963i5y8fnTELflmRh4/evzqjazPPhRCwt6OdT6yoJxiLcqR7+lJPy3Ny+eLqtexub6fCnVnJp8YiET5ob+WZxjNXdwRcL6ppnO7rpcvn41fXracmK1tO5EmSJKVJOIFt8TeKRKY/+y5J0uKXdNC+b98+fuVXfoW2trZJSTEURSEWS/5CJKXe+ZbL7J4mYL9eT5+XV989zccfWruotjVLqZOf4+SXHl3PqXNdHDvTQWf3EFfe+cUFbtasKGXF0iKyPXMv4ZWpVFXBGwrxZssFPtuwmjuKS3ivrZXG/r6rRwKWZmWzo7yChvwC3m9rZSgYyLhEdO0jwzx7tnHKgP16Q8EAPz19kq+u30i2dfH9PSVJkjKBY5bqA6nqI0nS4pF00P7rv/7rrF+/npdeeonCwkK5GpOBvL4Ah060kejGq6bWXoZGAjMG7WOBMMFQBCHiGbWtFqOsG3obyXLb2LahhoZlxfgDYcKRKEaDHqvFiMthQZ0ig/JUIrEY3lCQK7sCjXodrgw+R+0ymWkoyOel8+f5yamT1OXm8tlVqzGqegLRCGa9Hk0Imgb6efr0SXzhMDvKK3CYMidXxFgkzIftbUS1xMrQtQ4P0+H1yqBdmlU4EmXUH4p/LgAmkz4jq2BIUqapLM3BZjXiHwsn1N5iNlBTkZfmUUmSlMmSDtqbmpr42c9+Rk1NTTrGI6XAsDeQVIKTaFTj2JlLFBW4Jp1l9Y4G6ekb4eCxNtq7BglHYpiMeqrKctjQUE5ujgO7vEm7LaiqgttlxT1L3fmpBCMResf8HOjs4MTlHkbDYVRFocjhZGtZGTWebLKtmbe1Xq+qbCgs4e2WFnzhEO+3t/L8+bMYdTpMOh0RTWMsEsFtNmPRGzDpdGwpLcOsn9PJo7TwhcKc6r2cVJ/dl9qpycrOuHP5UmYYC4bpHxjl8Ml2mlp7CQQj6HUqxQVuNq6uoLjALRNmSdIMXA4zy2sKOXSiLaH2tVX5uByZO8EtSVL6JX1nuWnTJpqbm2XQnsF8/mBSCU4AhkbGiERi6EzXgvbBYT+vvnua42c6Jqza+8dCDA77OXKqnc1rK9m5uVbeoEnT8ofD7Ou8xDONZwhGJ57JGw4GOdPXS5Uni083rKLM5b41g5xBttXKw0uX8dcH9tLn90+5g2UoEMBtNvNr6zdQaHfM+xhnEoxGGQ0ntppzxUgwSDgWQ661Szfy+YPsO3KRd/acIxqbuHtjxBfgTFM3y6oLeOTeleRmZdZ7QZIyhdlkYMemGi51D3G5zztj27xsBzs312Ixy0lUSbqdJR20f/3rX+d3fud36OnpYeXKlRgME7dINzQ0pGxw0tzM5ciCoigoXOvnHQ3y8junONHYOW0fTRPsPtSCoqjcs60Wm0WuuEsTRWIxDnd38vSpkzOep24ZGuTfjh7h19ZvoCDDgt6YplFgt/OJFfX8+ORJBgJjk9o4TWY+uqyOKndWwtvQ58tcTjDJY0/SVIKhCAeOtfLGB40ztjt7oYdoLMbHH1qHZw47cyTpdpCf4+SXHlnPS2+fpKWt/2qelCsUJb6N/uFdKynMc96iUUqSlCmSDtqfeOIJAL74xS9e/ZqiKAghZCK6DOF2WjEadEllJy3Mc2IwXCtZ09k9NGPAfr19R1pYXVeCrVgG7dJEQ8EALzednzUBGsAl7wj7Ozt4aEkt+gwqOXbZP8o/HznEltIy/sedd9HY38eR7i4CkQgmvZ6G/AJW5RfQ4fXyL0cO8+vrN7LSnDnbGM16PVkWC4OBQMJ98m02LAaZs0KaaNgb4P39TQm1bW7to7m1lw2rKtI7KElaoBRFobjAzScfWU/fgI9DJ9oYHBkDAW6XNX4EMdu+6KqySJI0N0kH7RcvXkzHOKQUcjnM1FTkcaapO6H2FrOB+triq8nE/IEQB463Jvx80ZjGkVPtFOQ5MRoy5yxvJolEYnhHA3RdHsE7GsSg11GY78LjtCzqrP1NgwP0j01emZ7Ooc5OtpaWkZOmJGi+UIiBwBgd3hFCsRhuk5lSlwu32YJRN7nOcjAaZXdHO8FolLcvtmA1GFiRm8euqmqMOj3RWIzeMf/VJHQAH15qpcrjyZjz4G6zhTUFhbx1sSWh9jpFYWtZeUady5duvVhM49S5TgLBSMJ9Dp9sp7YqH6c8PiVJ03I5LLgcFkoKPYTDUQRgMuplsl9JkiZI+q6svLw8HeOQUshmNXHHmkqaLvYSic6+2t6wvGRCgpNgMEpb52BSz9nS3o9/LIzRJW/0bzQwNMq+Ixc5ea6TweFrAaxer1JdlsuW9VVUleViMi6u310gEuF4T09SfbpHfQwHgykP2kPRKE2DA7zVcoFzA/2Er9sRlGO1srawiDvLK8m32yf0Gw2HaB64ltRxLBLhYNfMO1CaBwYZi0QyJmg36nRsLi1jf2dHQmfb63LzyLPJ0+zSRP6xEE0Xe5Pq09Y5SDAUxZlZJ14kKSOZTQYZqEuSNK2Eo4Tnn38+oXaPPvronAcjpU5FaTYP3r2Cl94+RTQ6/Rnb5UsKuWvz0gkJTjQhiCSxtR7ipX9EAlugbzd9gz7+88UjtHZMzuYfjWqca7lMa8cAj+xqYHVdCcZFFLhHNY3QDYnnEnFjsrqbFYpGOdzdxY9OHp/ye/ePjfH6hWaaBwf5wuq1FDquRRhCQCiBia/rhWPRSWcTb7Vih5NPrVzFD04cwx+ZfqW00u3h4yvqcZvlyqg0UUwTSR25gvjqfCyWWTkeJEmSJGkhSjhCePzxx2dtI8+0Zw6zycC6leW4HFb2HWmhpb1/Qqbf/Fwnq5aXsG5l2aREQaqiYDDoCIUTD56MBr1MXnWDUX+IV989M2XAfr1QOMoLb54gN8tOZVnOPI0u/fSqOqct1qneln3JO8KPT56YdTKgZWiQnzee5jMNq3GNn0lXFDDpJ2+bn4lJr0fNsPeCQadjVUEhDpOJt1oucKavj1Ds2u9jpt0GkgSgUxWMhuTeC3qdik6XOfkpJEmSJGmhSvjuWMuwjMjS7MwmA/W1RZQXZzE0MkbvoI9YTMPlsJCX7cDlsEx5Q2Ux66koyebUua6En6uqLAebNTO2A2eKwRE/jQnmFQiFoxw83kZhvmvRbI+zGAysKijgcHfir6MihwO3KXVn/IPRKLvb2wlEEzuHe6r3Mv1j/qtBu8NoYml2Dl0+X8LPWZ2VhTUDk7gZdTqW5eRS4nAyFAxyyTtCRIvhMJoocbrwmM0YpjjXn6mC0QjBaBRNgEmnS/o4QiQWwx8JowmBXlVxGE1JTTwKIfCFQkSFhqoo2I2mjEqgmIhoVGMsGELTBDpVxW6b/ndgs5lYUpnHxUszT0Jer7wkC7Mps3cPxWIa/kAYTdNm/R1I0mKmaRr+sTAxTUNVVWxWI7oFdk2TpMUssz9NpZRw2M047GbKirMSam+1mNiwqiLhoF2vU1m7skwmobtOJBLj6KlLk+oYz6TxQjd3jS5dNEE7QE1WDnk2G71+f0LtNxSV4Lakbmv2cDDIicuJTZxAfEv/no52SpwuTHo9Jr2eLaVlfNjellApNwXYXlaRMefZp2I3mbCbTJS6XLd6KHMyHAxwedTP7kttXB4dRSBwmcxsKSuj1Okm22KZMejyh8MMBgIc7OqgaWCAqKZhMRhYU1BIXW4eHsvUSQmvCMdiDAbGONPXy7GebgKRKHpVZWlONhsKS/BYLBn99wcIBMMMewOcaOy4ugvLbDRQt6SQpdV5uByWSddznapSX1vMBweaE05Gt25lecYmoQsEI4z4xjh5tosLbX1EojFMRj3Lawqprc7H7bAsquNKkjSdUDjKiDdAY3M351ouEwpHMRp01FTksWJpEW6nZVHdl0jSQiU/kaQpFRe4WF1XyrEzl2Ztu3l9FdlumbjqeqFwlN7+xFdnAfxjYfyBMLlpGtOt4DGbeWDJUn5w/NisZd/KXW42FpekdLUyEIkwEgol1efy6CjBaBTT+Db9PJuNnRWVvNlyYda+m0pKKXUuzGB4Iej0evnZmVOc7uudlDfgaE835S43n6xfSZUna8rX0VAgwOstzbzf2jrheADAmb5ePGYLjy9fzpqCoil3S4xFwhzu6uK5c40MB4MTHmsaHODtlhZ2lFdyb3V1xuYF8PoCfHjwAvuOthAMTfwdNLX24txr5t7ty1m5vBireeLkg9tpYecdS3n13dPMlrVhaVU+NRWZeTXzjgbZe/gCew63TJqAaG7t4929Zu7ZVsvqulKslsyegJGkm+EfC3H4VDvv7DmPf2ziZ+WFtn7e39/Ejk1L2Li6AscirnQjSQuB3PciTclpt/DAXStYW1/KdItWOlVh28Ya7ty4BJtV1mifSCBmva2doleGJTC7WQadjnUFRfxSfQOWGc6q12Rl8/nVa1N+nnpufwMm9LIbTXykegm7qqrRTfNmUBWFLaVlfHRZ3dWt9VJq9Yz6+PdjRzjZe3naRH9tI8P88+FDtA4PTXrMGwrywvmzvHGheVLAfsVQMMD3jx/jSHfXhAoDEE9oeKirkx+ePD4pYL8iEI3y2oUmXjp/Hm9o6ja30qg/xDt7z/PuvvOTAvYrvKNBnn3tGCcaOwnfkNfEbDKwYVUF9+6oQ6+f/vZh+ZJCHr9vVUbWl/aPhfhgfxNv7T437Y4Bnz/I82+c4OipdkLhxEvcSdJCEgiGOXSijZffOjUpYL/WJsJr751hz6EWxgKzVx+RJCl95Eq7NC2Py8pDd69kfUM5B4+30dY5QCSiYTLpqSrLYX1DOblZdhmwT8Fo1ON2JrfSZjLqJ61sLQZWo5HNpWXUZGVzsKuDE5d78IXC6FSFIoeTbWVlVLqzyLam/gbfojdg0esJJJGR3m0xY74h+ZzbYuGhJbWsLypmd3s75wf6CUYjGHV6qjwetpdXUORw4EzheXzpmnAsxnttrVycIhi/0VAwwAvnzvLFtetwXff3aBka4v221ln7RzWNZxrPUJOVTcF1k0iDwQDPNJ5J6JjEu60trCoooD4vs14PXZeH2XN49h0jMU3w2nunqSzNIT9nYr02u83ElnVV1Fbnc/RUO+dbegkEI+j1KsUFbjauqqAw34UrQ7fF9/R5+eBA86ztNE3w+geNVFfkUZArtwZLi8/QyBhvfng2oWon7+47z7LqfMpLsudhZJIkTUUG7dKMrpyHLy7wMBYMgxAoioLNalpQdcXDkSheXxD/WIiYJrCYDNhtJhz29NxUGw161q0s58jJSwmX/6qpyMVhX5wTIGa9nlKXi0KHgzvLK6/+Tkx6XVoDXafJRF1eHoe74vkZBIJwLEZME2hCoFMV9KqKQY0H6QqwtbQcs37yTbrDZMJhiidtGw2Frq7G24wGrIbFN9mSSYaDAY4mkdDw3EA/A2NjV4P20XCID9vbEu4/Egpyuvcy+TYbiqKgaRonenrwJVDnHuI7NT5ob6XC7cGeIefbxwJhDhxvJdHNPP6xMI1NXeRmLUG94aiB1WLEajGSn+Ng24aa+A+sgNmox5rBk7iBYJiDx1sTviYHghFOnu0kN8sus+BLi0okGuPo6Y6EqwTFYhqHTrZTkOdaUPd+krSYyHeelBCL2YDFvPBWG6JRjZ6+EQ6daOP0+W5GfAEAdDqVqtIcNqwup7osNy3Be06WncqybC609c/aVqcqbFxVgdWSuTe8qaBX1bSsqE/HZjSyo6yCYz3djIbDDAUDjARDV7c+K+NtPBYLDqOR5Tl5E1ZXp2LW61Nelk6aWYfXS//YWMLto5rGke4uqjzx5Juj4Qjn+vuSes6jPV2sLyrGZTbjDYc41pN4QkOAc/39+MPhjAnaA8EwF9qS+x2caephTX0pLsfU71mjQU+We+G8F8YCEZpbk/sdNDb3sGFVeUZu9ZekuRr1hzh3oSepPk0XL+MfWyqDdkm6RRJ653k8noRLoAwODt7UgCQpVaLRGOdaLvOLV47h8088XxqLaTS19tLU2ssdayq5Z9uylG/ndDksPHjXSn783AH6h6bPnq4qCndvXSa3naVJucvN/dVL+M6+3QSiE88pC2A0HGY0HGZ5Tg4fW15HlkXenGcaX5LJBAG8oRCx8TJeUU1L6ogEwFgkQlTEt8LHNMFYJLmzzWORCDGROaVSYzEt4azvVwRCERZTtVdN0wiEkvsdBINhNG1x5RqRJCFE8teDYGTR5d2RpIUkoaD9O9/5TpqHIUmp19U7ws9fOcqof+Yb/n1HL2I2G7h7S23Ky5qUFLr51Ec38eaHjTRd7CUcmRg05uc6uWNtJauXl8gsxWkyEgriMVv41XUbeanpHM03TCya9Xo2FpXw2LJldHq9FDucGV+y63Yzl/rxRp16tcawTlHQKcqsFQyup1dVVOKT1cr4v5OhV1XUDKr3rSgKOp2KpsVmbzxuodWdn42iKOh1KpFI4r8DnV5H5vwVJSl1DDMkk5yKXqdj2szEkiSlXUJB++c+97l0j0OSUioUjnLgWOusAfsVB4+3sb6hPOVBu6IoFBe4efLBtYz4AvEt+t4Aer1KTUUuRfluXA6LPC+ZJpFYjL0dl3iz5QLri4r52vpNDAYCnB3oIxLTcJtNrMovZCQU5IO2Nrp8PmqysmXQnmFKnS5MOv20Wd+nUpebf/W/TXodpS4XrcPDE9oIBELE70OVG0KzSnfW1deBzWik0uOhbSTx/qVOF0Zd5mwjNRr1FOW7aOtIfDdcSZFnUU0mGo06ivJdCR1ZuqKkwI1lEf0OJAnilSCK8t0z7gK8UVG+C5Mh+QlUSZJS46buKILBIOEbEvM4nc6bGpAkpYJ3NEBjU+LntfxjIRqbusnx2FHV1M8k26wmbFYTRfluxHgyPyn9hoNBjnR3EdU09nVc4mBnBzVZ2eRabegUhVAsxktN5yaclz7Y1UGB3T6n1V0pPTwWM3W5uRxN8Fx5idNJuct9rb/ZwqaSUlqHhxEIIjGNsUgYXzgcT0ioKLjNFkx6HQZVh0FV2VxainH8NWDS69lcUsaH7W1ENY2IFiMUjTEcDBATAlVRcBhNWA0GDDoVBYU7SkrxZFD5P6fdzNr6soSDdp2qsH5l2aI6v+q0W1i3sjzhoF1VFDasqkj5ZK4k3WpWi5ENqys4ebYz4cKoG1aVY5e12iXplkn609jv9/Nf/+t/5emnn2ZgYGDS47FY4tvOJCldRnzBSefYZ9PaMcjG1REsaS67JgP2+eOPhOn1X1tJiAnBuYF+mHzpuuri0BCBaEQG7RnEbjRxT1U15wf68c9ytlynKNxVWYX7uoBZURRW5RfwQVsrJ3sv0+f3E7rhs2owEMBqMJBvt/NgzVJybshtkGezsbG4hNcuNHF5dJSxSGTCze5gIIBZryfHamVVfgH1efkZ9V5XFIXaqnxKCj10dM9eOm/1ilKyPbZ5GNn8qi7Lobw4i7bO2Scv6pcVkZs1c2JKSVqoCnOdLF9SyJmm2SdDq8tzKCvOmodRSZI0naT35H7rW9/i7bff5h/+4R8wmUz8y7/8C3/0R39EUVER//Ef/5GOMUpS0qLR5CePYjEt4VJA0sKQSE3tqfrI10HmqfJk8elVq2fMxq5XVT66fAXrC4uvnme/wmky8cTyFVj0+kkBO8STEvojEWqzc7irsgqLYeLqqsVg4O7KKqo9WfhvCNivCEaj2A1Gnqyrx2HKvEoQWW4bTz64huIC94ztVi4r4t7tyxflqprHbeNjD6yhtMgzY7vlSwp5YGd92sqCStKt5nRYePielSytyp+xXUVJNo/fv1pWUJCkWyzplfYXXniB//iP/2Dnzp184QtfYPv27dTU1FBeXs4Pf/hDPvWpT6VjnJKUFKvFiKooSQVfNqsRg16uri4mFr0B/Xj28ETZjcarddulzGHU6VidX0jeHXb2drRztLubgUD8WIPdaKQ+L59tZeWUudxYDZO3M7cNj/D2xRZ+c+NmTvVe5oP2Vs719yPGv/e6wiJ2lFeQY7Xyn6dP8dlVa8i1XVtpHgyM8Z+nT3F/9RLWFBTyblsrx3q6CcdiKMCynFy2l5dTn5vP681NmJfpqcnKvIoQRfluPv3RTZw+38WxMx109gwhBOh1KpWlOaxrKKO6PDfl1TQySWGei089vpEzTd0cPX2Jju7470CnKlSU5rBuZRlLKvJwORfv70CSIF6a9skH13D+Yi9HTrbT1jFATIsf+Skt8rCmvozlNQV4XDJgl6RbLemgfXBwkKqqKiB+fv1Kibdt27bx1a9+NbWjk6Q5ctotlBZ5EtoCCfHs0GtWlGI0LJ7zmxLYTUZqs3M43debcJ9NJSUyEV2GMuh0lLvdFDoc3F1ZTSgaRSAw6fQ4TEashqn/boFIhN2XWjnd10vbyDArcvP4ypr1GPV6oloMg07HUCBAY18fb7ZcIKppXBgamBC0nx/o59xAPxeGBqnNzuHRpcv47KrVhKPx/sFolPP9ffzk1En8kTDZ7TZKnC7M+sy7pmR7bGzbUEPDsmKC4SjRWAyjXofFbLxtVpaz3Da2rq+mvraIUChKJBbDoNdhMRtw2mWwLt0+3E4rG1dVUFuVTzAYib8XdDpMJgMuhzmjjvlI0u0s6buJqqoqLl68SFlZGcuWLePpp59m48aNvPDCC7jd7jQMUZKS53KYWbuyLOGgvaTIQ16OI82jkuaby2Rma1l5wkF7kcNBhXvmbbPSrWfU6cizJX7e2hcOcao3/hoYDYfZ39nBwa7OeOI4VSUUi02qw76/o4MVufk4TCZGgkEOdHYA8eMTp/t6Od3Xi81gwKjTE9Fi+MPhCVvmT/b28GBoaUYG7QCqquC+zVfPFEWRW34laZzLYVnUO2wkaaFL+kz7F77wBY4fPw7A7//+7/N3f/d3mM1mvvGNb/B7v/d7KR+gJM2FoijU1RTSsLx41rZ2m4kHdq6QH1aLVG12DtvLy2dtZzUYeKJuBR6zfB0sNpGYhjc0sfyjJgSj4TBDweCkgB3AGwoRHj/7HtUm94f4GfihYIDRGwL2K/0jSdRElyRJkiRJmk7SSwDf+MY3rv73rl27OHv2LIcPH6ampoaGhoaUDk6SbobLaeGhu1ditRg5euoSofDkGs8lBW4evLueipJsuQVskXKZzTy6dDkWvYHd7W1TZh8vcTr52PIVLMvJnZTATFr4FIWkc1yoinLtmjBFHfaE+ifZR5IkSZIkaSo3vW+vvLyc8gRWsSTpVvC4rHzkzhVsXlvF8TMddPQMo2kaNquJtStKKchz4XJY0lKbXcocHouFh5cuY2tZOUe6u7gwOEhU07AZDGwqKaHM5cZjtsiAfZG6sp2+Z3Q04T75djuW8a3tZp2eArudS96RxPvb7FfrvEuSJEmSJN2MpIP2P/7jP57x8W9/+9tzHowkpYPVYsRqMZKb5SAUjqBpAoNBh9k0OcP0YiZiw6D1IWLtIMIoqhv0VaC4UdTMK0+ValaDAavBQIHNTiAaIaYJjDrdpNJeUmbTNMGIL0DvgI+e3hE0Icj22CnOd+NymtFPESi7zRbWFRXx0vnzCT2HqihsKyu/+tqwGY1sK6vgUFfnlKXeprK+uHhCrXhJSjUhBN7BUQa7hui60EM0GsOd46RkaSGObAfGBD7j/N4xvP0+2ho7CPpDWO1myupKcGY7sMojY5IkSRkj6aD9mWeemfDvSCTCxYsX0ev1VFdXy6Bdylh6vYpev/iD0xsJEYDIGUToHYheAOLlzwSA4gbDajDfhaIruHWDnEc6VcVuvP1eB4vBqD/EibOdHDreSmfP8IQAOsdjY1VdCRtXV04qT6RXVTYWlbCnvZ2hYHDW56nLzSPfbp/wtSKHg+W5uZzp65u1f5bFwropasVLUqoERoOcP3SBA68cpeNcJ5p27d3gynFSt3kpmx5eR3bh1Ik1o5EoHee72f3sAVqOtxIOXjs2ZLKaqFlTwbaPbqKougBVJ1/HkiRJt5oiRBKH/Kbh9Xr5/Oc/z0c/+lE+85nPpGJc88rr9eJyuRgZGcHpdN7q4UhSyggRhNBeROBnwOQz/VfpKlBsn0fRFc7b2CQpGaP+EO/vb+K9/eeZ6VOrbkkhj93XgMc1Mbt8VNM409fL944dYWSKpHJXVHmy+PzqNRQ5Jn8WdHq9/Nuxw7QOD0/b32028/nVa1ku8yNIaRLwBzn02jHe+sH7xKLatO3K60p4/OsPklOcNeHrWkyj6ehFnvmrl/CPjE3b35nj4MlvPEJFfanM+SJJkpQmicahKbmjcDqd/NEf/RF/+Id/mIpvJ0lSqkQvIgK/YMaAHSDWigg8g9C88zIsSUqGEILG5u5ZA3aAM03dfHDgwqTEk3pVpS43j9/YeAdbSsuwGyfWdM+32Xlo6VK+tHbdlAE7QLHTyVfWbuDBJUsnlZxzGI1sLS3nNzbcIRMaSmnVdrqDt37wwYwBO0DbmQ7e/vEH+L0TA/OB7iFe+PvXZgzYAbz9Pl74h9cYujx8s0OWJEmSblLKCsiOjIwwMpJ4kh5JktJLaGOI0IdAOLEOkdOgDYAqd5tImcXrC3LgeOusAfsVx890sHltJbnZjglf16sqVZ4sCu0OPlKzlMujPkKxGHajkXybHY/Fgn6WYDvfbueRpcvYXlZBz+go/kgYk15Hgd2B22SWORKktPJ7xzj8+jFi0cTKCZ470Mz2j92BbbwevaZpnD3QxEh/YhO0fR0DXDzZTlbB1NvsJUmSpPmRdND+13/91xP+LYSgu7ub73//+zzwwAMpG5gkSTdJjED0TBIdoojQPtCVoCgy8JAyx8Cwn0udQwm39/mDnL/YOylov8JiMGAxGChyTP34bAw6Hbk2G7k3rLZLUrr5Bke5cLwt4fbhYIQTH5whrywHnV6Hd2CUUx+eTeo5j797miXrqnBmze39IkmSJN28pIP2//f//t+Ef6uqSm5uLp/73Of4gz/4g5QNTJKkm6SNgph5++PkPn0ggiCDdimD9A+OJlVjHaD78ghCCHkWV1pUvAM+IqHI7A2vM9AxSCQUQafXocViDF9OblfkcO8I0XBiK/uSJElSeiQdtF+8eDEd45AkKeXmkmPypvNSSlJGEIAQIGN26XYnpv1HEv3l+0iSJOmWkplyJGmxUu1AkqXN1Ozk+0hSmmW5bUnHDPk5DlRVRhrS4uLw2NEbk1tv8RS40ZvifVSdijMnuW3urmwHer0uqT6SJElSaiW90u73+/mzP/sz3nrrLXp7e9G0idlLW1paUjY4KU5oXtCGQfgABRQXqC4U1T5b1/H+Y/HzzdowEAPFDoobRedO36ClW09xgqEOIkcT7KBDMd2BohpnbypJ8ygny0ZJoYdL3Ymda7dZjdRWF6R5VJJ080aH/fgGRxkd8oMCzmwHjiw7VodlyvaObDuV9WU0HUnsXktv1LPqzjr0+vjtnjPbQd3mWnou9iY8xpU76nBkJXa/IUkLlRbTGOn34h3wERwLYzQZcOY4cOU40BtSlrdbkuYs6Vfhl7/8Zd577z0+85nPUFhYKM8LppHQfBA9hwjtgeg5rpXtMseDMdM20FejKOZp+och1oYIfwCRUyD844+ooK8G4xYwrEBRXfPx40jzTFHtYNyGiJxk1pJvAPploOamfVySlCyXw8K6hrKEg/b6pcW4HFNfFyUpE4z5Alw82c7h149z8VQ70fEShUaLkepVFay/fzVly4sxWyfufLK7bKy7bxUXjreixWYu+QawZE0lrpxrFUFUncqKLbUcePkIo8P+GXrGefJd1KyukPd60qI20D3EiffOcHr3WS639V39uqfATd3mpay9p4Hc0mz5PpBuKUWI5LL7uN1uXnrpJbZu3ZquMc27RIvazyeh+RChNyH4OjDdB7MRxfIxMN2BokyclRdaGCJHEYGfzJyMzLgNxfIIiupO1dClDBIv+/Y+BJ8HZkgkpBah2L6Ioi+dt7FJUjJ8o0He/PAse2dZYaypyOWJB9aQ7ZErg1Jm8o+Mse/FQ7z/n3vRtKlvwfRGPfd+7k7W3L0Si23iBNSYL8DeFw7x/tN7pu0PUFSdzxPfeIS8spwJX49Gopw70Myzf/sKQX9o2v42l5WP/fZD1KyuRNXJ05TS4tTb3s+zf/Myl851TdsmpziLj/2XhyipLZKBu5RyicahSV+FPR4PWVlZNzU4aWZCRCG8H4KvMX3ADhBGBH4OkcbJD8VaZw/YAcIfIkLvILTgzQxZylCKakUxbUex/groypmUTUixgmETiv3LoCu5JWOUpEQ47Gbu2VbLg3etIG+KUm5Ou5mt66t58sG1MmCXMpYW0zj5QSPvzRCwA0TDUd7493dpPjI5+a/VYeGOh9fx4FfupaAyb8rH19yzkie/+eikgB1Ab9CzdH01n/jdx6hqKEenn3grqDfqWbK2ik9+63GqGsplwC4tWiP9Pl7+lzdnDNgB+jsHee7vXmWoZ3h+BiZJU0h6e/z//J//k29/+9t873vfw2q1pmNMkjaMCH1AYmleI/GVVH311W3uV1dXrw/YheDaBIA6MaVyaA8YNwPyDOhipKg2hHELir4OYl2I2AUQYVA9KIa6+P9Xpj4/KUmZxGm3sG3DEhqWl3Cpa4iOnmE0TSM320F1eQ4uhwWjPHsoZbCRfi+HXjuGmCFgvyIaiXHw1aOUryiZVCPd5rSy4YHV1G6opqe1l0vnuoiGo3jyXFSvrsCR7Zi0tf56BpOBJeuqKKjKY+jyCM1HLxL0B7E6LNSsrcKd68Tutt30zytJmexyay8XjrUm1ratj6ajF9lY4Jar7dItkfTdzf/9v/+XCxcukJ+fT0VFBQbDxHrOR44cSdngbluxNtB6Em8fbQJtAK6cTRfDED09/t8xIAKaF0SA+ESAAVQ3KMZ4PW7hjZ97VvPlhWiRUhQVdFmgy0Kh/lYPR5LmLByJEgpHCUeiOGzxoEQIQTAYxWyMyqBdymjdLZcnnJmdTXtjB0M9w5OCdgBVVXHnuXDnuVi2ccmcxuPw2HF47JQtK55Tf0laqMZ8AQ6/eSKpPsffPc2yjUtwJVmBQZJSIem7m8cffzwNw5CuJyJNSfaIQqwT9FXxf8YG4qvsIgxaP2hDTDrPHBsExQZqASgWiF4EYxgUWe5LkqTMNDjs5+3d5zhxtoNgaGJyRb1OpaYij4/srKMwzyUnIKWM1NbYmVT7WFSju6WX8jqZb0SSUik0FqavvT+pPn2X+olGEkjsK0lpkHTQ/j/+x/9IxzikcfG8gHO4IIjr+0RBRCDWE191n7oDiFGItYOujHhQP0OiMkmSpFtoaNjPs68f52zz1LuQojGNsxd6GPKO8SuPbaAwT1bFkDJPbA43/DJIkKR0EMQSqMBwPS2mJXS0RZLSYc77CMPh8JR12svKym56ULczRVEQ6hwS/V2f/V1xgDY6Q8B+vXB8K75ij2+XlyRJyjDRqMahk+3TBuzXu9zn5c0PG/nYA2uwWeTOISmzuOcwmXR9yTZJklJD1anYXFYGEywlCmB1WSclbpSk+ZJ00H7+/Hm+9KUvsWfPnglfF0KgKAqxmFytvVmKoQERfA1IMKO7mjcx87fqiNfb1i7F/y1gchZ65VoyOhFCMa5FUeRZUEmSMo93NMDxxo6E259v6WXEG5BBu5Rxlqyr4r2n98xYau16nnwXxTUySexMNE3DNzhKJBRBaAKdXofVZZ0xEZ8kObLsLL9jCZfOJn5kZcnaKmyu9CVojEaj+Ab9RMPx3TV6vQ67x4bBZJilZ5ymaQz1DBMJRxGahk6vw2y34Myav4oq4WCY0eExYpEYKGAw6nFmO2QVihRIOkr7whe+gF6v58UXX6SwsFCeG0wH1QOGeogcSqy9ce2ElXYhBIrpDkTkCPFgPTK+ff7KhIpK/E9viP+3sQFEFCGiMnCXJCnj9Pb76O33Jdw+FI5y+nw3Rfnu9A1KkubAme1g6fpqTrx3JqH2yzfX4siWJQynIoRgsHuIsweaOfn+GXrb+9E0DYvDQs2aStbe00B+RS5Wh6yOIk2mqirLNi5hz7MHGR32z9peb9Sz5u6VGM2JBdDJiEajDHQNceqDRs7sOc9gzxBCCBxZDmo3VLP67pXklWZjNE+/I7bv0gBn9p7jg1/s4/zhFiLBCHa3jTW7VrLjiTsoWVo0p50+iQqNheht7+fI2yc5f+gC/mE/iqqSXeShfusy6rbUklOUJYP3m6CI+CHqhNlsNg4fPsyyZcvSNaZ5l2hR+/kkYp2I0X8BbebakeiXoVg/g6K7VotVhI+DNoIIvgrBF5ix1ruuAsXxewhtBMV8H4oqP9wkScos+49e5OevHE2qz/qGcp54cA06Vd4gSJnlclsfP/vLF+i52Dtju4oVpXz0tx4kq9AzTyNbOIQQXDrbybN/+wp9lwambKPTq2x/cjObHlwry9dJU4qEI5zefY7n//41IqHItO1UVeHez+5k/f2rMNvMKR1DNBKl+ehFnv/71/ANjk7Zxmgx8pEv3M3KHcun3EFy6WwnT/23H3F697lpx//o1z7CA1+6Oy3Xk8BokKPvnOTN/3h/2t+jO8/Fo1+7n6qGcnR6XcrHsJAlGocmfTdTV1dHf39y2RalOVCLUGxfAn09U2+IMIFxE4r1UxMC9vHOiMBzKKadYPk4KFPNrOnAuAHF8XVE+NB4iTl5cytJUubRzWFmXqeqqHInmJSB8stzeeIbD1O7oQa9YfLNq9FsYOWO5Tz+9QdkwD6NvksDPPPXL08bsEM88/57P93NkbdOEA5OH5BJty+D0cCyTUt4/OsPkFd64710nDvfxQNf3sXaextSHrADdJzv5tm/eWXagB0gHAjz8r+8ybkDzZNyifVe6ueff/8H0wbsAJomePZvX+GN77+Hd4bnmYtYNMaZPed4/d/emXHiY7h3hGf++mW6Wy6n9PlvJ0nvhf7zP/9zvvWtb/Gnf/qnrFy5clKd9kxZqV7oFEUBfQnYPgvaACJ0AMQAoICuEMWwHlQPijrFtjnVA7EOhP9vUMyPgutPEJHj8bJuxOL9jHeAiCACz0PkNDh+XyaikyQpI+XnONHrVKJJZPqtKM2Wx7ekjFVQkcdjv/kAI30jHH/3NEOXR1BUhZySLBq21+HMcWBzWm/1MDNSNBLl2Dun6O8cnLWtELDvhcPU3VFLTvEckvxKi57ZamLFllpKa4vobO7hzJ5zhAJhDEY9S9ZVU1lfiiPbjsGY+m3xY6MB9r14CP/I2Kxto+Eoe58/SPmKUty58VhL0zROvHeGxn2JlYp++V/eYvOjG1J6xt074GPPcweJRWf/fPYNjrL/5SPklGTLnBNzkHTQvmvXLgDuueeeCV+XiejSQ1FdoLriZdlEiHgCOePMZ88VExiWQeh1xNi/gpoNhg2grwVFB9oYIvCfED0/3t6Dol+SthtcoY3FM9lHziK04fj49TWgywfFnfYbayE00IYh1o2ItQBRFCULDLXx51dTP3OaakJE4j9DtAWhdQOgqEWgrwTVjaKk/sNEkjKF22mhqiyH87NsJ74ix2OjoiQ7zaOSpJtjMOkx28wsXV89ftMucGY7MJgMCSeeuh15B3yc3jP9quKNfIOjNB+9SHaRR07kSVPS6XV48t148t0sWVdFLBJD1alpDyy9/T6aj7Ym3L7rQg99l/qvBu2D3cN8+Mz+hPuPeQMcfOUoBRV5U57NH/MFGOn30nKslVHvGCaLicr6MjwF7mkD/a7mHnovJb4Du+lwC76BURm0z0HSQfs777yTjnFIs1AUPSSaJE74UEzbEOE98Vrs2gCEXp2+vfk+hNYHWimKmro3kRACYp3xs/XR0yCuzSQK1Ph5evNdCH09ipqeFQWhjULkGCL0frwmfTyVfvz/Bh1gaADzfSi6zM3OK2KDiPCHED4AWt+1r0O8coBxI5i2oahyG6W0ODnsZjavreLipQEi0dknhjesqsDpyPzJOOn21d8xwLtP7+H9n++j+8LE7aLlK0q465e2sfmR9WQVuG/NADOYb9CfVJkugAvHW1m1cwUWu7wuSDMzmY0wTy+T7guXCY0lVkkC4jtHzh9uYcnaKiCeqf3s/sRW2a9o3H+enZ/cQnbRtZ0nWkyj60IP7/9sHxeOtxIOhK8+ptOrlC0vYcujG6haVT4hGZ4W0zh36EJSz+8fGaO3o5/cUjmxnqykg/Y777xz2sdOnTp1U4ORUkQbQWhDKLZfQ/j/KR64T8f8AIpxLSJ6DgyrUjuO2CWE/19hfGX4hkFCrAXhb0exPIkwbUZRUnuVFJo/HqxPl4xP+CC8GxHrANvnUXRFKX3+VBCxQUTgFxA5OHUDrReCLyJivWD9mAzcpUWruiKXh+6p56W3TxGJTB24K8C2jTWsbyjHIBPdSBmqr2OAH//pL/jgF1OvkLWd7uDf//An9Lb38/hvfASPDNwniISTP58eCUXQkjheI0nzIRwMz97oxj6BMJqmoaoqsWgsoW3p1wsFwlyfg1wIQfvZTn72ly8w0ued1D4W1bh4sp2u5h4e/vX7qNtSi3F8J1A0GiMaiSb9M0QCyf/cUgoyj/l8Pr773e+yceNGVq1KcdAnzY1ihdA7CDQUx38F0y5Qrs81oAPDKhTbb6EYdyACL4/3S92ZdqENxbfgTxmwXy8aD0qj7Sl77mvfuhmCLzJj9nyAWBsi8CxCm3yxupWEiMRX2KcL2K8XOYAI7UaI5C+ekrQQmE0G1tWX8dmPbaK+thiT8dqcs05VqKnI5ZOPrueuzUtxyNU0KUMFRoO885MPpw3Yr/fyP7/JwdeOzemmeDEzW00ku8vdbDWhmyLpnyTdSnMpR2h1WVDHq6LoDXrMtuR2yNpctgll14Z7R3jpu29MGbBfLxQI8/I/v8nAdbkk9AbdnLa5W2QZxjmZc1Hu999/n6eeeoqf//znFBUV8bGPfYy/+7u/S+XYpLlSs0HNh9BbCF0FinEdmB8CbRCIjmeT1xDRsxDYC4RQDOtnPCcvtND4ir0ARQHFOfM56tjleNCckHA8ONWVpqzknNB88e9JgjkWImfivx81gxIpasMQTiBgvyJ8AIx3wKRqApK0OJhMBmqrCygt8jDiCzLiCyA0gd1uxuWw4JTBujTPtJiGb2g0voqrgMVumfEmdqTfy3tP7034+7/79B7W3LOSXJmj4Sq7x05hdQFdzT0J91mxbZk8QytlnMLqAhxZ9hkzx19Pp9dRt2np1X+bbSZW7VzB/peOJPyc63Y14Mq9dq/bcb5r1vKTVwRGgxx/7zS5pdnoDXpUVaV+23IOv34cTUusgrinwC2vZ3OUVNDe09PDv//7v/PUU0/h9Xr5xCc+QSgU4tlnn6Wuri5dY5SSpbrBuC6+yhxrRcRaQXGMB6Q6EIEJZ6PRlcE0W8OF5gOtDxHaC7ELICLxRHf6ZfGz1GrOpPPoQgsiwnuZdYX7epFTYPYCKZp900YgcjaJDhFE+ADoSmZO8jefoq3x7e+J0i7H+8igXVrkrBYTVouJwrypyllKUvqFA2GG+kY4s+c85w42ExgNojfoKKzKZ+2uBnJLs3F4JiduOnewmd725JI2dbdclje513Fm22nYUZdw0J5bkk3xksI0j0qSkufMtrNsYw0HXz2WUPuK+lLc+dc+9zz5bnY8uTnhoD27yEP9tmXodPFdJ6Mjfo6+ndzR5sZ9TWx6cC2efPf498yipLaI9sbOhPrXba7FmeNI6jmluIS3xz/yyCPU1tZy4sQJvvOd79DV1cXf/M3fpHNs0hwpih7FuAl0Vde+KHwQ64wnY7s+YMeMYn44HujfQMSGEIEXEL7/C+H34/21XohdgtAbCN//QYTemmJbeTCe/C4Zwh+fTEgV4QWSPDOj9Y1n6M8MYtajBVP1SXzlQZIkSUre2GiAo2+f5Knf/yFv/+gDOpu6Geweore9n+PvnuZ73/4JL/7TG1MmS+u6kHyN4sutSUze3gZUVaVuSy1VDeWztjWYDNz1y9twZcsgQco8RrORTQ+tI69s9sUWu9vGnZ/YMmkysGZNJXf/yrZZ++uNOj75Xx/HnXdtlT0aiuLt9yU1Zm+/l+h1eWWc2XZ2fnIrlgSSvxZV57P+vlXoDRmyOLbAJBy0v/LKK3zpS1/ij/7oj3jooYeuztJImUnR5aHYPgv6FcTTM01BzUaxfR70y1CUiS8FofkQwZcg/B4w3Xm6UDwJWug9hOa//tlv/ge4ZTJp7HMZSyaNX5IkaXEJh8Kc+qCRV556i8BocMo2miY4s+ccL/7zG4z0T5zUntsVWl7Xb+TJc/HIV+9n2aYlqOrUvx9Hlp3Hf/MjLF1fhU4mppQyVF5ZDk9842HKlpdM2ya3JJsnvvkwpcsm74rNKnDz5Dcf4YEv3TVtqUh3rpNf/YvPsu6+VVjsqT1PrigKFfWlPPHbD5NVOHUyZEWBqoZyPvZfHianOGvKNtLsEp7q+PDDD3nqqadYt24dy5cv5zOf+Qy/9Eu/lM6xSTdJ0RWC7TMQ60GEdseTwgkNVDuKYUO8lruaNfV28FgHhD9M7ImCr8czz6u28S+Y4+fqSaIMheIAJYUXEsUFmIAkVs7VvJQm47tZilpIYieEruujk1sAJUmS0sXbP8q7P92TUMbmpkMtNB9tZd29DVe/VrI0+SolBVV5Sfe5HeQUZ/HIV+9n4NH1HH7jBJfb+tBiGlaHhbottSxZW4Ur14HBKGveS5lLURSKqgv4+O8+yuXWXg6/cYKhnmGEEDiy7KzauYKy5cW4cp3TLpjmlmTzsd9+mB0f38qe5w5w/lALkVAEu8fGuntXsfquFbhznVidE4+zGkwGXLlOLrf1Tfl9p+LOc01aKTcYDdSsqeSz/98naD3Vzon3zzA65EfVqWQXeVh37yryynJw5WRQ3qgFKOGg/Y477uCOO+7gO9/5Dj/96U/513/9V775zW+iaRpvvPEGpaWlOBxy+1GmUVQPqB7QlV/bfq7oxxPJTT07LbQxROhDSDhkDCPC+0FXiKIY4rXejVviZ8QTPdduWHlDhvubpLrikxKR4wl2MKAYN057nl1oYRDD8QR7hEAxx4N81Y2SrkBfXxFPKKgluJ1SLYjnJ5iG0MbGf4Y+IDKe5yAHVM+knRbS1ISIxBMEar3j7ycT6PJAccdf99JtIRqN4usfZaB7iMBoEKPZQHahB2eOY0INWymzhYMRvIM+BrqGCAfCmG0msos8OLMdU27fFELQfPTi1aRRQggi4SiRUIRYJIaqqhjMBvRGPbrx7MzH3jnFknWVOLPi90dL1lZSWJVHd0tiW95rN9RQWCGD9uk4s+w4s+KJ6YL+IEIIdHo9Do9t2nscScpE7lwn7lwnpcuKr9ZJ1xv12N22WXpe6e/CneuiuCaf0eExhBCoOhV3rnPa7eg2l5U196zkfBK11pdvXooja3K+Dp1eR3ahh+xCD0vXVxMb30JvspqwyCSxKZH0oQKbzcYXv/hFvvjFL3Lu3Dmeeuop/uzP/ozf//3f59577+X5559PxzilmxRPFmedtR0QP18eTWKVHCB6FjQv6MaT5ejyQV8L0cYEOptQjFtSljkeQFHtYNyOiJxm+u391zE0gDp5y44QArRORPBDiBwDcd0ZRTUbDGvAtA3UgtTfIKhuMG6CYILvKeMdU+cm0MLxhISh9yB6BsTYtQd1pWDYCMb1KDq5ZWkmItYd37ESOQradYmkFE98p4lpO+iK5ATIIjfQNciRt09yZvc5+q8rfWP32KjdUM2Gj6yhsDJ/QkkdKbPEYjF62/o5+Noxzu5vmpC5OavQw4ottazd1TBpG6d/ZIyzB+KfjeFQBO+AD9/gKKGxa/lTdHoVm9uGJ8+JyWqmvbGD4GjwatDuynWy4+Nb+OmfP5vQWHd+cgtuWad9VmarSWaHlxYFq8Myp1JwV1jslqS2wBfXFFJUnZ9Qvg2r00LD9jr0s5RPnCoJp3Tzbuquora2lr/4i7+go6ODH//4x6kak3TLaSCmPqs3LRHk+pV5RXWjWJ4AXfEsHY0o1idnXCGeM30NmB8FZjnLpqtCsTyKok7cKSKEgNhFxOh3IfzOxIAd4sn2Qm/GH4+lvs68ouhRTFvBuHn2xsYtKKbNk3YKCBGG6HGE/x8gcmhiwA7xpILBnyMCP0bEEs9ofLsR0XaE/18g9MbEgB3ir4vwuwj/P0G0Jf66kRal3vZ+fvb/XuT9p/dOCNgBRof8HH79BD/6019w8WQ7mpZE9Qxp3gghuNTYyY//1y84+MrRSaWWBruH+ODn+/jP//PcpDJIWkwjHIwQDobpudhLf8fghIAdIBbV8Pb76GzqwT8yRjQSIxy6NnFstpnZ+Ykt3PXLW2cd62O/+RHW3duAXp7HliQpTdx5Th761Xvx5M9cjcVsM/HQr95LTolc4LlVUrIUoNPpePzxx9Oyyt7Z2cmnP/1psrOzsVgsrFy5kkOHDl19XAjBt7/9bQoLC7FYLOzatYumpiRXiaUbqHM4223kxmQ5ir4UxfZlMG6Jb8WeQAf6pfFEeMYNadlarKgWFNM2FOtnxzPp3/ByV9xg3Ili+zyKrmDyN9D6EWM/mH17utaFGPsRIpZkxvwExCc/Hgfz4/Ht7zdSC8H8OIrlMZQpVtmJdSDGfjw5WL9R5AQi+BJCS6xW6O1ExAYQYz+J53mYidY7/npJ/GyYtHB4B3y88q9v0XGua+Z2/T6e/dtXGLghqJcyw2D3EM/93asMXR6ZsV3Xhcu89N03GO67lkhOVVUUVaGvY4Ax78zVTqKRGJdbe4kEwxiMEydTc4qz+MTvPsan//AJypZPntiuWVvJV/780zz0lV1XyypJkiSlg6IolNQW8Uv/9aPUb1+G2Tbxflxv0FGztpJP/O5jLN+0RGZ+v4Uy+jc/NDTE1q1bueuuu3jllVfIzc2lqakJj+dadsK/+Iu/4K//+q/53ve+R2VlJX/4h3/I/fffz5kzZzCbF88ZCqGFiSdVU0AxoShpTKyimONn4KNJ1G7UV4IyeTuMoisCyyfAfD9EmxDaSHz8usp4jXedO3XjnoKi2hDGTSiGWohdRsTaQERQ1CzQV898Fjl6Ll7mLhGxVoi2XDsekEKK6gbzvWDcALFLiFi8FJyiKwJdyfi5+inOX2rBeG4C4Z/02JTCh8F0N6hyW9MEsTaIJXjeS+uGyBmEmivPUy4yvZf6uXCsNaG2w70jnN57jh1FWXKbfAYRQnDu4IVJuySm03r6Ej0Xe3HnxvOtWJ0WypcV88b33kuofzQSw53vxmie/HmdU5zFA1/axeZHNtDW2MHl1l4URaF4SSHFSwrx5E9O9iRJkpQOqqpSVFPAo1/7CN4BH60nL+H3jmGyGCmvK8GV68LhSexsPUAkFCEcjIACJqsRvV5ey1Iho3+Lf/7nf05paSn/9m//dvVrlZWVV/9bCMF3vvMd/vt//+889thjAPzHf/wH+fn5PPvss4siu72IDYPWhwjvA20QUEBXCMaN8czvauqT/ymqA0zbEAkH7ToU05Zpg9/4WXUL6ApuSeEaRVHi545VD4phWUJ9RGw4/jtPggjvBUMtipr67JiKogddDuhyUFiT4IBGIHIyiWcJISKHxhMKZvSlYd4IzRc/x55Mn/ABFOOq+GtOWhQC/iBH3jyB0BI/+nDqw7Os3lmPO2/mLYfS/PH2+zjx/pmk+hx54zhly4uwOqxEo1EqVpZhc1kZHU5sMnT5piXojFNvbzeaDeSV5SRUo1mSJCndLDYzFpuZ/LLcOfUf6fcy0DXE0bdPMjrkR1EV8ityadhehzPHgc2ZYG4taUoZfWf+/PPPc//99/Pxj3+c9957j+LiYr72ta/xla98BYCLFy/S09PDrl27rvZxuVxs2rSJvXv3Thu0h0IhQqFrpcC8Xu+U7W6l+HnqS4jAL+IrvtdnYY+ejicVMzSA5TEUXX7qB6CvBP1KiCYQ9BnviGc5X1Qi45nik6D1gAjP3m6+CB+IJF/b0Uvx/ART7Jq4LYlQPFN8MrQeEAkkP5QWjNBYiP6O5La7D3QOEgnL10EmiUaiCa+yX9HfGT+3bnVYCfpDDF0eYddndvDs37wya9/q1RVU1JcyNhLA6ZHVdSRJWpxisRhdTT289r13udTYgXbdBHfT4RYOvHyUus1LueuXtpElE2vOWUbv22tpaeEf/uEfWLJkCa+99hpf/epX+a3f+i2+973vAdDT0wNAfv7EgDE/P//qY1P5X//rf+Fyua7+r7S0NH0/xFzFOhD+p8azr0+V0CgCkcOIse8jYqk/Q6uobhTrJ+KB+0yMd6CYH07Liv+tl2QiKZFhiafmNB6NpH/uRU2Q/O9DkHi5RGlBECSdWE6LaTIpYYYRgqT/JhP+7gIa95+nelUFD//avehmSBC3ZG0VH/+dRzj02vGrpY8kSZIWo67myzz9f5+n7fSlCQH7FeFAmGNvn+KFf3yN4d6Z84lI08volXZN01i/fj1/+qd/CsCaNWs4deoU//iP/8jnPve5OX/fP/iDP+Cb3/zm1X97vd6MCtyFNooIvhJfsZtNtAkReh8sj6b8nLuiywPbp+IZsUN7IHYRRAQUE+iXoBi3gr4URV2M2z/VePI8kURiNtUJmVTuS7ESf4snsdqnOgFZNuca3fiugyQy6ysOZq1YIC0oOoMOmyu5bX02t01m/c4wOr2KzWm5WgM5ETaX7WpwbjDpMZqMvP2jD9j+xB381t9/mcNvHOfUh+fwj/gxGA2Uryhhw/2rKaop4OCrx+ht68NkTTaxqyRJ0sIwOjTK2z/+gOFZknsCNB+5yLF3T7PjiTtkvpc5yOigvbCwkLq6uglfW758OT//+c8BKCiIZ9O+fPkyhYWFV9tcvnyZ1atXT/t9TSYTJlMGBybaEESSSAIXOQKmHaCb2xmUmSiqB4zrQL8kvlWYGPFAxoqiJp6UYsFRXWBcBcHuxPsYVoOSQRMYqgv0tRA9nWAHBcW4OS2Z/Bcs1Q2GdfFEg4kyNIxPfqSH0MLxfAUiDIh4pQfFiaIunsSbmcbhsdOwo46W420J91mythKbexFfIxcgm9vG0vXV7H/pSMJ96rctw5EVPy5ksVtYvXMFjfvO8/r33qWwKp/a9TXc+fEtACgK+Ab9tJxo4/AbJ4iEIqzYWos1yQmfZESjUXwDo0RCEbSYwGDSY3UmV6dZkiRproZ6R2g9mXjZ41MfNrJq5wo8Mt9L0jI6aN+6dSvnzp2b8LXz589TXl4OxJPSFRQU8NZbb10N0r1eL/v37+erX/3qfA83ZUTkBPFM8QnS+uP1ttMQtF+RjuRqmUxR9GBYH88dIGYu7RPv4EAxrkZRMmdlLZ5QcCsieoaEtmvrqiAd+REWMEVRwdiACL2RYH4AE4pxY1qqOwgRgVgXIrQfosdAGy8xqDjBUA+mraAWjyd+lFKtor6MrEI3g93Ds7bVG3Ss3dWAySJXWDOJ0WRg9d0rOfLmSSKhyKztnTkOlqytmlAJorA6n4LKPHou9tLdcpnulnjuE4PJQCwSnbA1VNWprN21CmsaAmhN0+jrGODkB42c2X2O/s4BhACL3UzVqnLW3xdf7bc65PVAkqT0EEJw6sOzRJM4AnS5tY+BrkEZtM9BRu9N+MY3vsG+ffv40z/9U5qbm/nRj37Ed7/7XX7jN34DiGcF/+3f/m3+5E/+hOeff56TJ0/y2c9+lqKiIh5//PFbO/g5EkLEV9qTpckzIimn5qFYnmD2uS0jiuXjoGRgBmD90ngZt9koHhTLx2TG86mo2SjWjzP7sQF9/HeYhqSMQgtD5Bhi9K8g/Na1gB3ikwnhPQjfX0F4H0IbS/nzS+DOdfLAl+7BYp95R4OqU7n7U9vJK0/fJKo0dznFWdz3uZ3o9DPf/pisJh780j248yZOWLtynXzkC3djv2EXRSQUmRCwK6rC9ifuoGRpIammxTRaTrTxgz/+Ge/9dA99HfGAHSAwGuT07nN8/4+eZvezBxLOci9JkpSsSDjK6FDy15i59JEyfKV9w4YNPPPMM/zBH/wBf/zHf0xlZSXf+c53+NSnPnW1zbe+9S38fj+/+qu/yvDwMNu2bePVV19dsDXaFUVBzKXclizRlXKKakIY16NgQARfA61rciNdCYr5AdDXo6iZt6qmqA4w349QbBD6AMSNE0I60NegWB4DXYWsLT4FRTEg9KtQbHpE8OX4rpYbqYUo5vvAsCY9xwtizYixH86y6yOMCPwMRbEgjBvjuwSklNHpdVStquDJbz7COz/5kM7mnkkl4LKLPGx+ZAMrdyzHYluYn0GLndlqYtXOFRiMenY/e4C+joEJjysKFFYXsPMTW6heUzmpVrqqqpSvKOETv/cob/3wAy6d7ZyUeMmd72LTg2tZfXd9Wla6e1p7efavX2Gkf/rdP5om+OBnezFZjNzxyDqMpsz7fJIkaWHT6VTUWSZAp6I3yphlLhQh09vi9XpxuVyMjIzgdN76beAifATh/6ckeuhRHL+Loq+cvamUNCFioA1DrB0RORY/S6wYUQxrQVcSr/+e4QGS0EIghiFyFhFrjpckU5wopg2g5KDo3Ld6iBlPCC2+CybWiYgcHS+NZ0QxNICuHFR3WurbC82HGPseRBIovwigK0ex/TqKLivlY5Hiu6G8/b741uQPGwn5Q+iNemrWVlK2rARntn1SoCdlnmg0indglM6mbs4daCYajmKymlixpZa88hyc2Q5UdebrunfAx0DXECc+OEPAF4hP7DSUU1lfhiPbjsGY+mMy4WCE1/79bQ68fDSh9s4cB1/8k18mu0heDyRJSr3DbxxPqATmFSaLkS//2acpqMxL46gWlkTjUHlnkYl0ZaAWTb2yOxX9UlCz0zumW+hawNmIiMUTwyn60vjPrbjTvsKtKDrQZcf/Z6gHEQNFn5YALV3iq7/58TPrYnO8HJxiyKgz+JlOUdTrXgd14xMfurScX59AG4TIudnbXRFrh1g3yKA9LRRFwZXrxJXrpHJlGdFIDJ1elYH6AqPX68nKd5OV72b5piXEohp6g27GMm43cmY7cGY7KKsrJhaOoerUtK8geQd9NO5rSrx9v48Lx1rJKvTInVTT8A76GOwe5vzhC4x5A1idFpauqyar0I0zazGWs5Wk1KmoL8Od50q4lFv16gqcOfY0j2pxkncZmUh1o5h2IAJPM3uNaCOKaeeiTRQnYv2I4JsQOTwhEZgIEz9/bdwEpp0ouvk5i60oBkh3kJZmimIEee92UxRFP39HUmLtQOIlqkAgoo0oxhXpGpE0TqdPLsiTMpPeoEd/E5d1nU6HzjI/r4ORPi++wSRKkQItJ9pYdVe9TIx4g3AoQuvJdj74xX7aGzvQYtfut3Y/c4Cy5SVsf+IOKupLMZoW9ue+JKWLM9vB+vtX8eb335+1rclqYuMDa7E60ldRYzGTQXsGUhQ9wrghXiM8+DLTB+4mFOuT8RXnRUjE+hFjP5q+ZJkYgtCrCK0frE/Gy9NJ0iIjRBKVJK52CqZ+IJIk3XKRUDTpPtFIDC2WeHbn20E0EqXpcAvP/s3LBP2Tr7FaTKP1VDs9Fy/z+NcfpHZDtdxNI0lTMBj1rLt3FWO+IHufPzgp18sVZpuJh371XkqXFc/zCBcPeQXKUIpqj2f91pUiwrshcparq22KNZ74zLQtnjxsEdbVFloIEXorsRrjkUOIUBGY719QW9YlKRGK4kikYN9EqjsNI5Ek6VabrXrBVMx2EzoZcE4w1DPMS999Y8qA/XpBf4iXvvsGeaU55JYu3mOIknQz7G4bO564g9LaIo68cYKLp9qJhuMTjDaXlSXrqlh/3yqKqgswyF0rcyav4hlMUW1gXA36atC88ZV3FFAd40mvFnH9VTEM4SOJtw8fiG+V12Vg2TVJuhn6ClBcIBIt62hEMaxM54gkSbpFXDkOCqvyr9aHT0TD9jq5vfs6mqZx9kBzwscMfIOjnD3YRHaxZ9bkhJJ0u7K5rNRvXUbFilJGh/2MeQOoOhWby4ojy47ZuvgWGOebDNoXAEV1xAP120nkfDxwT5TWA7EOGbRLi4/iBsMqCM9+XgwAwzJQZRI6SVqMnDkOVu5YnnDQXlSdT165/Fy8nndglNO7zybV5/SHZ1m5vQ537uLMHyRJqWJ327C7bbd6GIuSnDKUMpLQEl9FuNanNw0jkaRbS1FNKOa7QZfAOTA1C8X8YHyiT5KkRUdVVeq3LaeqoXzWtmabibs/tQNntrweXE+LaYwM+JLq4x0cnZCoTpIkab7JoF3KUHNJby5TokuLk6IrRLF+AfS1TPs615WjWL8ULxkpSdKi5clz8ejX7qduSy06/dS3cdlFHp74xsNUriyTW7qnIMvfSZK00Mjt8VJGUnQlSSffUtSitIxFkjKBoi8F2xcg1oMI7QatL/6A6kYxbgZdaXylXd6MStKil12UxSO/di9bH9vA0bdOcrmtDy2mYXVZadhRR9nyYlw5TlmScAp6gw5Pvjup0nmefDd6g/xdSpJ068igXcpM+ipQ8yDRLe+6MtAVpndMknSLKaoHVA/oyuFKKTjFGE9aKUnSbcXusWP32CmozCPoD6FpAoNRj80layDPxJFlp+HOOtobOxLus2rnChxZ9jSOSpIkaWYyaJcyk+qOZ4MPvpBAYwXFuEWWuZJuG4pqBeSNuSRJYDQbMZqNt3oYC4aiKNSsriS7yMNA19Cs7XOKs6heVS53MUmSdEvJg05SRlIUQ7wOvXHLbC3j9eyN61AU+XKWJEmSJGlmngIXj37tIzhzZk7S58xx8MhX78dT4J6fgUmSJE1DEUIke3R40fF6vbhcLkZGRnA6ZTmPTCK0YQgfRIT3xUu6XaXEE28ZN8cDdpktW5IkSZKkBGkxja4LPex5/iDNRy4SGA1efcxiN1OztpItj26gqLoAVScXBSRJSo9E41AZtCOD9vkiND8QARRQbChKYqczhIiBNgyx7mvJt3QFoOaD6kl4y5oQERBjgACM41uMFxahhYArNxYmFNV8K4cjSbfMtfeCIP5esMz7GMa8Y0SjMVRVxeqwyBv7OQiOhYgEI/FNUxYTRrMhqf6RcJSgP4gQAoPJgMU2/9fEMV+AaCSKqqqY7Sb0+uROHobGQoSDEQBM1uR/B9LNCfiDeAd8dJzvJuQPYrKZKV1ahCPbPq+vp3AgTCgQBsBkMWK0zO+RByEEY94xYlENVT9+TZOVB25Lfu8YMfnZNm8SjUPlmXYprYSIgjYE0RZE5DBoo6AYQF8JhvXxoHuWJFqKogNddvx/cxmDNgraICK8H2LtgAaKPX5mXlc2HvhndlZYoQ1D7DIivAe0gfgX1ez48QFdPoo8zy/dJoQ2Alo/IrQPtB5AgOIG4+Z4MsokJvLmIhqJMtLv4+LJdhr3nSfoD2Ew6SmvK2XFllqc2XbMtyBwXGhG+rz0Xurn6Nsn8Q6MoigKOcUe1ty9kqwCN3bPzEm//CN+hnq9HH/nVDxzuiawu6ysuquewso8nDmOtAYc0WgUb/8o7Y0dnN59ljFfEL1BR+myIuq3LceV48Bin3kiaaTfS1/HAEffPslInw+FeKm21XevJLvQIxOfzROLzYzFZia/LPeWPL93wMdA9xBH3zrJUM8wAO58F2vuXklOcRbO7PTuJAyHwnj7R2k+epFzh5oJByIYzQaqV1dQu6EGV7Zj3icQpPkXCUfw9vtoOdFG4/4mQmNhDCY9FfVl1N2xFGeOA7PVdKuHeVuTK+3IlfZ0EVoIoqcRgWdBuzxFCzMYN6OY70fRedIzhlg/IvgihA8D4ckNdMUolidAvxRFybzVDSEExDoQgZ9B9Dyg3dBCjY/d8iToSmSiHGlRE7EeROAZiJwEYjc8qoCuEsX6JOgq0jIRFxwL0bj3PG//+EOGe0cmPW6xm9n44Bo2PbQOxyxB5+0qFovR1dTDK//6Nh3nOrnxDkSnV1mytor7PncXuaVTT9QOdg/x5g/ep3HfeaKRG18HUFiVz/1fuIvyFSVJr3onIhwM03S4hTe+/96UicxMVhNrd61k6+MbceVMvqfQNI2uC5d59V/fpr2xA6FN/CWoOpXq1RV85At3k1eWk/LxS5mj52Ivr/7b21w80YZ24+tAVSivL+OBL95NQWVeWj7fx3wBTr5/hvf+c++UJfBsLitbP7qRtfc0yKoEi1jAH7z62TbS5530uMVhZtND69j4wBr52ZYGcnt8EmTQnnpCRCFyAuH/dyA0c2PjZhTLR1FUV2rHEBtCBH4MkeMzN1RsKLYvg35ZxiWzE7FOxOi/gNY1c0O1CMX+FRSdrFUvLU4i1ovw/xvEWmZuqGaj2L6Coq9M6fOHQxFOfdDIC//w2pSB4vU2P7aBO5/cLG9yp9Bxvouf/u/nGL48edLjeqW1RTzxjYfJLsqa8PWh3hGe+9tXuHCsdcb+do+NT/zuY1SuLLvZIU8QjUY5t7+ZX/z1y4QDU0wEX2ftvQ3s+vSOSTe5XRcu89O/eJbB7pkzlxdV5/Px33mUnJK57TKTMltvez9P/5/nuNzaN2O73NJsPvF7j1FQkZfS5w+OhTjy1glee+rtSRMG11MUuPtXtrPpobWz7h6RFp5wKMzJ9xt58R9fn/WzbetHN7H9iU3YnPKzLZUSjUMzK0KRFg9tOL7CPlvADhDeC5HzKX16IQREjs0esAMI//hugOGUjuFmCW0MEXxt9oAdQOtCBF9DaIH0D0yS5pkQEUTog9kDdgBtABF4EaFNXi24Gd4+L298/71Zb2oA9r1wiO6WqXYX3d5GR/y8+9M9swbsAJfOdXHg1WNEwpGrX9NiGiffPzNrwA4wOuTnrR99gHfAdzNDnsTb5+P1/3hv1oAd4MgbJ2g7M7EW+JgvwHv/uWfWgB3iwf3eFw9fPe8uLR7BsRC7n90/a8AO0HdpgA9+vo+APzhr22QMXx7h7R98MGPADiAEvPf0Hvo7Z3/NSgvPSJ8v4c+2vc8doOdi7zyMSpqKDNql9Ig2T7MlfmoivCe1N9liKH6GPVGxdoglEBzPJzEMkVOJt4+civeRpMVGG4bIkcTbR8+BNpiypxdCcP5wC6ND/sTaa4LDbxwnMCon0a430uej5Xhrwu0b957DN3Bty653wMfJ9xsT7n+psYOBBILjZLSd6Ugo4L7iyJsnGB259rrx9vtoPnox4f6N+87jHUztxIN06/kGRzl38ELC7ZsOt0x4L9ysaCTGiQ/OXE18l0j7Y++clBNIi4ymaZw90IR/eCzB9uOfbSmeQJISI4N2KeWENhpPOpeM6Pl4krpU0UYg1ppEB4GIHBjPSJ0hIudBJBYkACBGIdKUvvFI0q0S6wStP4kOEUTkaMqe3jc4ypl9ye0GajnexphP3thcr3HfOSLhaMLthy6P0H3dqs7Q5RF6WhNf5dE0wcn3zxCLzb6ClAi/d4xTu88m1efiyXYC3muTN+cOXUholf4K3+AoneczbEJZummtpy/hH0ksUAIIjAa5kMSE12xGh0ZpOpzAzqXrNB+9iH8kiXsSKeP5hvyc3d+cVJ+WE20TrmnS/JFBu5QGUdCSvbBHuVbKLAWEn3gpqCRcLUmXGcQcVs2FkNvXpEVIzGEXjjYcLxeZAlpMIzia3PUp6A8SS2C74e1C0zR8g8nf8I8OX+vj9yYe5FztMxIgEkp8omAm0UhsQi3vhPqEo4SuW530zWG7vi/BHR7SwjFV0rfZpHLHhaYJxnzJBV4BX3DWrfTSwqJFtaR3hAV8QWJR+dl2K8igXUoDJV7WLWmpzPI7h++l6Mmst8QcSqwoshyHtBjN5XpiJFXvZ0VR0OmT+16qXoeiymoOV6iqit6Y/HXZcF0fvSH5igA6g5qyGsOqoqDTJz8G/XV99KbkX8uGOfSRMpsxA14HekNy70edXicr1CwyijLH10Eay2lK05O/dSn1FBvoK5Lro+aDksJslKonXrs5GfoloGROZlRFX01yb1EVRVedruFI0q2jKwGSm5BSDMtSdoNpsZsprM5Pqk9BRe6cbswXs+qG8qTaG0wGCiqvZczOKvRgdSR3ja6sL0vZ38HiMFOytDCpPnmlOZis1yZgq5LMZq836CiuKUiqj5T5SmqLkppMUlWFirrSlD2/2WakoCK5uvT5FblyAmmRsdjNFFYlV5WgoDIPgyn1pTSl2cmgXUo5RdGjGNaT1E22cR2o7hQOwg2GhiTaO1AM9Zk1i6zLA10SZav01aBL7kNYkhYE1QOGZUm0LwRdcgHiTIwWI2vubkhqtb1hRx3OHEfKxrAYFFbnJ1V3vKqhfEKdc2eWnSXrqhLu78p1UrWqIpkhzkhv0NOwow6jOfHAZcW2WpzZ114HeWU5FCUxAVRRX4YrN7XlUKVbL6vATdmy4oTbFy8tIrvIk7LntzqsrLt3VVJ91u1qwOGxpWwM0q1nsppYc09DUhNIq+6sm3BNk+aPDNql9FCzwLg5wba5KMYNKErqZu4U1YRi2pb4artpe/Ir8+mmuFHMd5HYVn8DimknSionPiQpQyiqHcW0M8GdMGq8bYrfC9lFHlZsTWziIL8il6UbajJrEjADuHKcbHpoLWoCxwZMVhObHlo7oda92WZm44NrJnxtOooCGx9YgyPLPmvbZLhynay6qz6httlFHuq3LZ+wpd6Z42Djg+sSmgAyWoxsemitDJQWIWe2gzseXjfh+Md09AYdmx5cm/JAqaAyj5q1iS0MlNeVUJrEJIO0cOQUe6jbvDShtoVV+SxZVyU/224RGbRLaaGoNhTz/WC8Y+aGai6K9bOgpmH7n64YxfqZWYJxBYx3o5juRFHNqR/DTVAUBQz1KJYnmfl8uynexrBivoYmSfNPV4Ni+eVZjtHowPwIGNendBIQwO62cc+ndlC7sWbGdvkVuTz+9QfJLkzdqthioepU6rct555P75gxaLXYzTz8a/dSvmLyduCi6gIe/dpHsLmnfx2oqsK2j21i7a6GlB9RsDos7HhyM6t2zny9zSr08PjXHyS3JPuGsaks37yEXZ+5c8Yz+iariQe/vIuqJI8USAtHzZpKPvKlu2fcuWEwGbjvC3exdEN1ygMlZ7aDB7+8i8pZjmyULC3k4V+/D3ee3PGxGNnddu797J0sXT/z8cqCijwe+42PkFUgP9tuFUUIcdungvR6vbhcLkZGRnA6nbN3kBImtGGInEeE90C0iXiWeOJn2I1rUYwbQS1AUdIzfyREFGLd8ZrtkaPXlY0ygGEZinEr6KtR1Mz9uwstALFLiPBuiJy8VgZOsYFhJYpxG+hKM27SQZJSTWhh0DoRoT0QOQ5iZPwRMxhWjL+fK1DU9K1MjvR7aT56kWNvn6L9bCdaTAPiwXr9tuXUb11GTnFW2p5/MQiMBuls6ubQ68doPtpKaCxeatPusbFs0xLW3r1y/Nzk1MFMNBKlt72fo2+fpHFvEyP98eoCRrOBqlUVrLu3gdJlxdicKcyTcgPvoI+LJ9o5+vZJWk9duppNObckm7qttTRsryO3NHvaQCvgD9LV3MPhN47TfOTi1az0NreVZRtqWLurgYKqfJkXYZELBcJ0t1zm8BvHOX/oAmPjpbSsDgtL1lWx7t4GimoKMFnSl2R26PII5w41c+Ld03Q0dSM0gaJAYXUBK7cvp27zUhmo3QZG+r00HbnIsXdOcamx42qlgIKKPOq3L2PFFvnZli6JxqEyaEcG7fNBaCPjJdWCgD6+Wqa6U74aNu3ziwhowyDGgFh8m61iR1EXzrkcoQXipa/EeHkOxQKKE0XNnOR5kjQfhBYCMTz+XhDj7wVHWoP1G3kHfYx5A4SDEQxGPWa7GVe2I2WZym8HgdEAo8NjBP0hVFXBbDPh8NgxWhKrnBEORfANjhL0B9FiArPViNVlTWuwfiPf0Oj46yCMTq/HbDfhzLaj1yf22RbwB/EPjxEYDaJc9zswJfg7kBaH4FiI0SE/wbEQCIHZZsbutmK2zc9kvBAC74CPgC9IOBS/plkcFpzZdlSZKfy24h3wMeaTn23zSQbtSZBBuyRJkiRJkiRJkjSfEo1D5bSJJEmSJEmSJEmSJGUoGbRLkiRJkiRJkiRJUoaSQbskSZIkSZIkSZIkZaj5yQImSZIkSZIkSdKiEw6GGbo8Qse5LgZ7htAb9ZTWFpNV6JaZ5yUpRWTQLkmSJEmSJElS0nrb+3n/53vZ8+xBLp3ruvp1vVHHqp317Pr0DpZtrMHunr/qHpK0GMmgXZIkSZIkSZKkpFxu6+Pfv/0TDr12fNJj0XCMw68f5+QHZ/jin/wymx5ej901f+UYJWmxkWfaJUmSJEmSJElKmHfAx3N//+qUAfv1woEI//7tn3LxRNs8jUySFie50i5JkiRJ0m0pGo0y5g0gNIGqU7G5rKiqXM+QpNkM93nZ/cyBhNoG/SHee3oP5XUlOLMdaR6ZdLuLRsav60Kgqip2jw1FUW71sG6aDNolSZIkSbqtBPxBRvq8nPqwkdZTl4iEo5gsRpaur6Z2Qw3ObDsmi+lWD1OSMlI0EuXQq0cZ8wYS7nPwtWM8/vUHZNAupc2YL8BIn5cT75+hvbGTaCSKyWpi2YYalq6vxpljx2gy3uphzpkM2iVJkiRJum34BkfZ99Jh9r90hNBYaMJjF0+28+Ev9nPnJ7awaucKrA7LLRqlJGWuwGiQzuaepPqMeQMM945QsrQoTaOSbmfeAR8fPnuAw68fJxwIT3js4ok2PvjFPu75le2s2LoMi918i0Z5c2TQLkmSJEnSbcHvHeODZ/az97mD07cZGePVp95CIFh7TwNmq1xxl6QJBAghku+mJd9HkmYzOuzn3Z/u5uCrx6ZvM+TnxX96HSEEq3auwGheeCvu8uCWJEmSJEm3hcutfex/4dCs7TRN8M6PPmSkzzsPo5KkhcVsN5Fbkp1UH6PFgDPHmaYRSbezzuZuDr12bNZ2sajGWz/8gJF+X/oHlQZypX0BEJoPNC+IUUAB1QGqG0VJbNue0EIghkF4QcRAsYHqRFFdaR23JC02QmigDY2/l4KgmEBxjr8f5eVUWjiikRjeAR+jw6NEQvFzf3a3DVeOY1Ek7JlK0B/k8JvH0RJc7Qv6Q5zafZbsYg96vXx/S9IVBqOBTQ+t48XvvkE4EEmoz9p7GnDmZO55dk3T8Pb7GB32EwqEMZgM2D02nNl2+f5Pwuiwn9EhP2O+AKqqYnNbcWTZ07ZjacwX4PAbJ0h044d/ZIyzB5rILvIsuKSj8lWYwYTmh2gTIrwbImeB8TMaihX09WDaBroKFHXqN4IQEYhdQoQ+hMjJeKABgB70S8C4BQzLUFQ58ylJsxGxPkT4MEQOQezStQfUQjCuA+NGFF3+rRugJCVACEHfpQGOvXuK07vPMdg9BICiQFF1AQ13rmD55qV48hbfpO6YL8DFE+1J9Wk6dIH1967ClSs/JyXpep58Fxs+siahDPI6vcqOj2/O2OvK0OVhTu85x8n3z9B14fLVr+eWZFO3tZZVd64gpzhr0U5opoJ/ZIyLJ9s5/OZxWk+2E43EALC5rCxZV8X6+1ZRVF2AwWRI6fMGfAFaTyZ3XT938AKrdq7AmZW5k0hTkUF7hhKaDxF6F4IvA9oND45B5AAichzF+iTCsAFFnbjqLkQYIicRYz8E4b/hu0ch2oiIngXjnWB5AEV1p/GnkaSFTcS6Ef7vQ+zC5Ae1bgi+iIgcA+tnUfTl8z4+SUqEEIJL57p45q9eor9z8IbHoLO5h87mHs4dauaRr95PTlHWLRppemgxQdAfmr3hdQL+EJqmzd5Qkm4znnw3T37jYXrb+mg6cnHadqpO4RO/9xi166rncXSJ6+sY4Lm/e5W205emfOy9n+6hce95PvpfHqJkSeEtGGHmGx3288Ev9rP3+YOT8hb4R8Y49vYpzu5v4qFfvZe6zbUYzakL3GNRjaA/mFSfoD9ILLrwrusLa1/AbUKIKIQPTR2wTxBCjP0nRM9PfijWPk3APuGZIPwuIvRefAu9JEmTCG0IMfbTqQP268U6EGM/RMT652dgkpSkwe5hnvubVyYF7DdqOd7G6//+Dr7B0Xka2fxQVAW9QZdUH71BF9+GIEnSJCVLi/jaX32RXZ/ejiPLNunxqoZyvvLnn+HuX9mWkVvjvQM+Xv6XN6cM2K/X297Pc3/7CoM9w/MzsAUkEo5w+I3j7Hn2wIyJBoP+EC/+0xtcOtuZ0udXVAWdIbk1aL1etyB3TciV9kykDSNC7zNzwH5FOL4ir6+8us1daGOI4PuzBOzXCe0G4x2A3NorSZNEL0G0MbG2sTaIngNdTnrHJElJEkJw7mAzvZcSm1Q6d6CZzY9uwJFlT/PI5o/RZKCwKp+WE20J9ymqKViw5YFuN+FQBKFpGIwGVJ1ck5ovJUsK+ZX/9gQP/9p9nPigkf6OAQxGPUvWVlG2vBh3vguDMbVbolPlclsfF45Ov0vgej0Xe7lw7CKe+1cvyIAvGbFojGgkhk6vop8lIPYOjHLoteMJfd/QWIgDrxyhsDoPq8OaiqFiNMev68lMBhQvLVqQ5Txl0J6JYu2gdSXePnoetAG4cjZdjED0VOL9xQhETiPUvEV/IZKkZAhtNJ5TIpk+4X2gX4Gic6dnUJI0B94BHyfeO51we00THHnzBIVV+Yum5Jkjy86au1cmHLSrOpV1u2TJt0wWDkbwDvq4cKyVtjOX0GIadpeNlTvqyCpwL6pJp0zm8NhxeOwUL6Dt44HRAIffOJ5wAjOAY++cpnZDDc7szNs1cLOEEHj7ffR1DHDyg0ZCYyH0Rj1L11dTsrQIZ87UCflaT7Uz3DuS8PNcONaKt380ZUG7M9vBqp0rEg7a9QYda+6uT+kW/fkig/YMJKba7j6jKMQ6QF8Z/2esP/FV9qvPeQHFuDWeDVuSpDgRhFgSE2gAsW4gsWy6kjRfIqEIvZcGkupzubWPoD+4qILWivpSypaX0N7YMWvbFVuXkV2cXFkraf74Bkc5+OpRDr9xAu/AxBJOh14/RnldKfd8egclSwrlyrs0SdAforc9ueNsfZf6iYSjaRrRrRMORbh4oo13f7qbzqbuCRMZx989TU5xFpsfXU/9tuUTVqhj0RitsxwtuFEoEGaga5CCyryUjF1RFJasraK4poDO5p5Z2zfcWYenwJ2S555v8iqWYYQQIOZwQZjQZy4XlCgQm0M/SVrskn1fRIEkpu4laR4ITaDFknstx6Kx+GfSIuLOc/Ho1+6ndFnxjO2WbVrCvZ/ZgcMz+ZyudOuNDvt5/2d7eecnuycF7BBPTtVyoo2n//dzdJzvWnSvYyk1kk1GFovGZjy3vRBFo1EuHL3Iz/7yBTrOd0+586C/c5CXvvsmR986SXDsWg6sWExDm0NCt1RPfGQVuHnsNx+gqKZgxnYrd9Rx1y9vw+ZMzSr/fJNBe4ZRFAVUT/Idr6+5rjqAJLe5Kw5QjMk/ryQtZooKSpLbKxUb8tIqZRqdXoclyTN8FocFnT65xG0LQX55Lh//nUd4+Nfvo3RZ8dVVWL1BR/XqCp785iM88uv34cl339qBStNqOd7G/pcOz9pupM/L6997d8rAXrq9qToVq3Mu18TF9fk+0uvl5afemrWyhhbTePMH70/YnWAw6rHPYWJzLn1mU1iVzye/9RgPfvkeSpYWoqrxOMhgMlCztpJPfutxHvji3bhzM7PsYCLk9vgMpBgaEMHXgAQzuqs5oCu97htkga4snhQLxhf9wlxb/VMAfTwgiX8DFONGFEW+HBaz+C6OYRAR4q8FFRQnirp4tr6mnOICw6pr76VE6Ovjk2CSlEGsLivVqys5/k7i+U5WbKnF4VmcZ4I9+W42PrCG5ZuWEBwLEYvE0Bv1mG2mRfszZ6poNIpv0E8sEkNRQNXrcGbZp50w8g2NcuStEwmfRb50tpOBriFcOc4Ujlpa6BweO8s3LaHjXOJH4JasrVywq7RTEULQcqKN4cuJnUmPhqMcfesEBeW5GC1GFEWhftsyDrx85Gpd9tnkV+SSnaZyolkFHu54ZD1L11cTDkaIRmIYjHosDvOieP/LKC0TqR4w1ENk9llkAAxr4fo666oHxXgHYqwNCIHmA20YuFLHUB8PKlRP/Ay7YQmouSn9EaTMImJ9EGmMJ0nTukDE4ivChjowbQG1EEWV20BvpCg6MK5BhN5KME+EAcV0h5wIkTKO2Wpi3a6VnHz/DFps9u2Mjiw7S9ZWLerkpIqi4Mx2LMqkUgtBJBxhoGuIkx820rj3PCP98dVwd66TFVtr4zkFCj2TslePDvlpPZX4OVpNExx9+ySltUUYTAsv+ZSUHqpOZdmmJex57iD+kbFZ2+sNOtbc04DRsnh2pY4O+Tn54dmk+pw/3ML2JzaTNf57cOe5qFhZRvORxLLw129bjitN19zhvhHaznRw9O2TDHYNAQqKGq8Csu7eVRRU5mF3Ldx7XRm0ZyBFtYP5AUSsE7RZkirol6CYdqAo1z6IFEVBGFaD4QQEnmXyin0YxADEhkBfh2J+FEU3hy350oIgoq2IsR9A7IabHBGG8G5EeD+YHwTTDhRV3rxOomSjWD6KGPsJM+eLUMH8CKiydKKUmQoq8tjx8c2899PdM65SGkwG7v/8Xbhy5fVASo9wMMLZA0289N03GPMGJjzW295Pb3s/B189xiO/fh9L1lVjMF67XQ34gsSiyeVnGB32Ew5FZNAuTeDOc3LvZ3fy4j++NuNKsaIq7PzkVnJLF1diymg0hn84ucTV/mH/hPefw2Pn7l/eTn/n4Kwr9kvWVbF654q0JIbsu9TPC//4OhdPtk96bLB7mNO7z7HxgTXseHLzgp2oXVwHMxYTXQmK7UugX87UfyYDGNahWD+DoptilVyE49ngzfeCMtVWHjVelsr6KYSIIOaS/E7KeCLWg/B/b3LAPkEUgi8gQnsRWoJHMm4jimoaf699Kn4UZcpGHhTLkyimrSjq4tk6Jy0uFoeFTQ+uZddn7pz2TGFOcRaPf/0BajfWZGxtZWnhaz3VzvN//9qkgP16o0N+nv2bV2g/MzHTv6Imv/tDVdVFvWtEmhujyciKrbU8+hsPkFU49eKVI8vO/Z+/i/X3r8ZiM8/zCNNLIfn3U/y9NPFrRTX5fOJ3H6V8RenVs+TXM5oNrL67nod/7T7ceak/Uz7cO8Lzf//alAH7FUIT7H/pCB8+s58x3/TXnUwmV9ozlKIooC8D6+dB6xvf1hzf6oGuAMW4EdSsKVdGhRZGhN6ByHEU01Yw3YUIH4ZYKxADxY1i2gyYEOGjIAZB91swVfAvLVhCRBHhA/Ht8LO3htBbYFwFyJXiGymqFWHcgKJfAtFmROR4vBycYkTRrwDD8vj7Sl082+akxcnutrHp4XXUba6l6fAFWk60EQlHMVtNrNhSS/EM9XglKRV8Q6PsfvYAobHZJ4kDo0F2P3eA/Ipc7O74RJPdY8Pmsia0pfmKgso8TItoW7OUOmariZXbl1FeFy8F2bjvPKFAOJ7AbHUF1WsqcWbZMZoX3+vHZDORW5LN5da+hPtkF2ehv2FCV6fTUVpbzCd+91H6Owc59s4pfIOjKKpCfkUuDdvrcOY40pYP4MLxtoRLzx167Tir76qfULpuoZCfyhlO0blB5wZdOVe3uSvmCdvhJxHDEDkOYggRfBEUTzyo0G1FUXQIEUSEj4wn1xrfIxltkUH7YqMNQzjBvAgw/ro5g1Dz5IrEFBTFEH+P6HLjyemIEs8PYZG/L2lBMZmNmIqzyC7ysPruemJRDb0hnoRNktJtqGeYtjOJn0lvPdnOSL/3atDuyLKzdH0VR99KLKmiyWJk5bbli7ISgpQaeoOerAI3WQVulm2sIRqJodPrMNtMi/rz3WIzs+7eVZzefTbhxI4rty/HmT11ss4rOUJKlhYRCUVAAZPVmNZJYO+Aj2NJJFiNhCIcf+8MuaXZC243mQzaF4j4Cl6Cs3xaP4iha/8WQxDeE//PabqIyEkwrJErhYuJ8M2eE+HGLtEz8V0cysJN1DEf5BZ4aTFQFAWLfeGtNkgLW8vJ9qTqY0fCUdpOd1BcUwiMJ1W8bzVn9zcTGA3O0hvqty/DmbMwz7BK88+8yLbAzyavLIfKhnJajs9eJceT72L5HUtR1ZlPVxvNBozm+QmIw8EwnU3dSfVpP3OJMW8AV87CCtrlmfbFSMzlXHKEmZNsSQvOXF4HIgwkl+BHkiRJkhI1Wz3oKfsEJvYprMrnoV+9d9bdIbUba7jz41sW5FZYSZoPzmwHD355F8U1BTO2c+U4eew3HyC7KLMSV2sxQTQcSapPJBRFaAluLcggcqV9MVLm8OGkmGGmLffSwqOYiacZSeLCpJiRlwVJkiQpXWyu5O9RbI6Ju5uMJgPLNy/Fme3gwCtHaD56ccJkQFF1Pit31FG/bTnu3IVfn1mS0im/PJcnf/dRjr55gjN7z9PfOXj1MbvHxrKNNay/fw2FlXmzrrLPN1WnYrSYEsqRcYXJakTJsJ8jEfLufDFSc+Jlp7TLCXdRDGtnPicvLTyKE3Rl47kLEuxiWCO3fkuSJN1GIuEIY94AWkyg6hTsbltaz39Xr6rAYDLEz7wmwGQ1UVFfOunrRpOBypVlFFTm4R30Mdg9TDQSxe624clz4cxxZFyAIUmZKqcoi7t+eTvr7lvNYPcQgdEgRrOB7KKseCK+eUzkOOYLEA6EAdAZdDg8U5+hBzDbTZTXlXD+0IWEv3/Nmioc01RQyWQyaF+MVDcY10LwlcTa60ri/5MWF9UNxg0QSDBoV/NAX53WIUmSJEmZYcwXYLh3hOPvnqbt9CUioShGi4GqVRWs3B5foU7H+V5XjpPqVeWcPdCcUPuaNRXTJr4CsNjNWOxm8stkMl1Juhl6g+5qQr5bYaTfy+XWPg6/eYKBrkGEJnBk2WnYUUfFilLcea5JNd7tLhtrdzUkHLRb7GbqtixNS634dJNB+yKkKHowbkZEziSwympCMT8EamadUZFunqKoYFiDiJyA6PlZWuvHXwfu+RiaJEmSdAt5B33see4QB14+MmnFu+N8N/tfPMzWj21iw/2rr2ZtTxWby8r2J+6gs7kH3+DojG3deS62fXSTTJgoSYtc98XLvPzPb9F6amKt9d72fi4cayW7yMODX9lFVUM5esPE8LVsWTErty/n5AeNMz6HoirseHIzrpyFeWRm4U0zSAlRdPkots+BvnaGRm4U22dBvyIe4EmLjqLLQbF+CvQriZ9vn6qRI97GuEoekZAkSVrk/N4xPvzFfnY/s3/aLeqhQJi3f/gBB145QmA0kPIxFC8p5MlvPkJuafa0bfIrcnniGw9TNEuCLEmSFra+SwP84jsvTQrYrzfQNcTP//JF2k53THrMkWXn3s/tZPXd9ej0U8czJouR+z67kzW7VmK2LszypooQiVbmW7y8Xi8ul4uRkRGczoU5+zIdoQ1BtAMR3g2xHiAWD9KM68CwAtRsGajdBoQ2DLEuRGg3xDqJvw7sYFiFYlwFShaKujAvYpIkSVLiWk+182///cdoCWRPNhj1fOnPPj1rZum50DSN4d4R2s50cPzd04z0eYH46vrqu+sprS3Gk+9a1HWyJel2Fw5FePP777H3+UMJta9YUcrHf/dRnNmTyziODvsZ6Bri6Fsn6DjfTSQcxWwzUbO2kpXbluPOc2VkwJ5oHCq3xy9yiuoBowf0leMlwASgB1V+EN5OFNUd3/quqwBxZdVEHX8d3D67LIQWBDEM2gCIKKh2UDygum+r34MkSfH6394BH8O9I4SDEcw2E+5cJ85sR1oTsaVSwB/ENzDKSJ+XWCyGzWXFme3EmW2f8jM+OBbi8JsnEgrYIf47Ov7uKfLKcjAYU3vLqKoqWQUesgo81KypJBqOl501mAwp35IvzSwajeLtj7+OgmMhjGYjnjwnzhzHpK3IkpRKvsFRGvc1Jdy+/Wwng91DUwbtdrcNu9tGQWUeAV8AIQSKqmD32NDrF/7reOH/BFJCFNUOTJ/IRbo9xDPD337Z4YWIQuwSIvQ+RE6C8I0/ooCuDMW4EWFYi6LLuqXjlCQp/YQQ9Lb3c/iN4zTua2K4d+TqY7ml2dRvW8aqO+szrh7x9SKhCJ3NPRx89ShNR1oI+IIAqKpCSW0Rq3fWU7uxZtKN7Zg3QOupS0k914VjrWx+1I8nz5Wy8d9opuzQUnr1dw5y9J2TnNl9bkKpL0+Bm7rNS1l7TwO5pdlyoUdKi972vgnX4NloMY3Te85SvqJ02tekyWLENI/Z7ueLDNolSVrUhIhC5DRi7AcgvDc+CrE2RKANoufA8kkUXc4tGackSeknhKC9sZNf/NVLDHYPTXq879IA7/x4N02HW3j86w+SX555GckjoQhn9p7nxX96fUJtcgBNi/987Y2drGrs4N7P3jkh6ZIQIql6xgChsTAiwZV5aWHpudjLL/7qJbpbJpcIHuoZZvczBzh/8AIf++2HKFladAtGKC12Y97kc2YERkPEorHbbheI3A8qSdLiFuuaJmC/QeQEIvgCQvPN3E6SpAVrsHuY5/7ulSkD9ut1nO/m5X9+k5H+Wa4bt0Bncw8vffeNSQH7jY6/e5rdzx4geF2QrigKOkNyW/8NJj1ykXXxGe4d4YV/fH3KgP16fR0DPPd3rzLYMzw/A5NuK0Zz8ivieqNuwRxhSiUZtEuStGgJLYwI7Zs9YL8ifAS0mW/mU0GICELzI7QxhNDS/nySJMVXmc8fvkDfpYGE2recaONya1+aRwXRSIzAaJDAaJBYNDZj26A/yMHXjhIYDSb0vY+/cxrvwLWJSJPFQHFNYVLjK1pSgMWe+nrt0q3V2dxNe+PkTNxT6bnYy8WTs5UQlqTk5ZfnJn19qd2w5LY8rnF77SuQJOn2IoYheiyJDmFEeD/oCtNSVUFoQxDrjT+H8AJqPDmgcXW8BKN6++UbkKT54h3wceL9M0n1OfzGcUpqi7A6Ul8n3DfkZ6RvhOPvnmbo8giKAjml2TRsr8OZ48DmnHw98A6O0nS4JeHnGPMFaNzXRE5xFqqqYnPZWLurgXMHmxPqr6oK63atwmyTQfti4h/xc+TNk0n1Ofb2KZasrZoyAZgkzZUj286S9VWceDexa3NBRR4FlXlpHlVmkkG7JEmLlxiLZ4pPRqwjnmE/hUG7EDGItSICz0D0AnDd6nrkOCL0Jhg2gvk+mQxPktIkGo7S35Hc9aCvY4BQIJzyoL2ntZc3v/8+F45dJBq5bnX9QDMHXjpC7cYa7vmV7WQXTbweePt9V5POJaqruTueHX+81FHx0kKWrK+i6dDswf+KbctnrKUuLUzhYIS+S/1J9enrHCAaiaZpRNLtymIzc8dD67h4oh3f4OiMbXV6HZsfXY/rNp04ktvjJUlaxGbeajp9nxQnXYq1Ikb/GaJNTAjYrxB+CL+DCDwTX42XJCnlhIhnHk6GFtPiHVOot72fn/+/Fzl3sHliwD4uHIxw8v1Gnv2byWfvZ9s+PxUtpk1IJOfKdvDgl3dRs7Zyxn51W2q59zM7ZGb3RUqLJfe6jr8X0jQY6bZWWJ3P419/AGfO9MG4wWTgI1+8m+V3LEXV3Z7hq1xplyRpEbMCRiCceBfFAaRwlT02hAg8CyKBYDxyAMI1CNOO2/K8liSlk06nYnVZCQcTLy9kc1lTmvAo4A/y3n/uoedi76xtW09f4sCrR7nnU9sxGA1Xx6OqSsJ11iFeu9hgmni7l1OUxeO/+SBtpy9x5K0TdJzrIhKKYLQYKVtewrpdDZQsK8KZdXuuaC12iqpgc1uTSrRoc1pRbtNgSUovvV5PzepKPvf/fZLTe85xhkZ2wAAAVkpJREFUevdZBroGEUJgd9tZuqGaNXevJLc0++qOoduRDNolSVq8VDsYauO12ROkGDel9my51g/RxM6PAojwPhRjAyiZWyNakhYim9vG0nVVHHj5aMJ96jbXYvfYUjYG74AvqTPpZ/acY+NH1pBVGL8eOLLslC4rpu1MYgnEVFVh1c4VU5ZGcuU4aLizjsqGsvGybhqqTsVkM2F3pe5nljKPM8vB8k1L6GruSbjP0g012N0y74qUHqpOJa8sh5ziLFbfXU80HAUBOoMOu9uG0Zz6PEMLjZwykyRp0VJUB4pxK5DgqrWuNP6/FBEiGk86N9WW+OnELs5LBntJut0YzQZW37USgzGx9QpHlp3a9dWoaupulZoOtySc+R1g6PIIndcFVs5sB6vvqk+4f1ld6dWAfzoOj52c4ixyS3PILsqSAfttQNWp1G2uTThXg9FiZNWddVd3fEhSuqg6FU+ei9ySbHJLs8kqcMuAfZwM2iVJWtz0NWC6Z/Z2igPF8gSoKVzhFuHEy81d6wSyVrwkpUVuaTb3fHrHrGcijWYDH/nC3bjynCl9/uHexLfmX3H9FmZFUajdUMOau2cP3F25Tu797J0y27c0JXe+k/u/cNesk1g6vcq9n7mT7CK5+0uSbiW5PV6SpEVNUR1gvg+hWCD0Pogbb5oV0FWiWB4DfTWKksq5TBWYw3lYRV6aJSkdzFYTa+5Zid6gZ8/zBxjsHp7UJr8il7s+uZWatVUpX1nUTbFNfTY3bm13ZNm559M7sDotHH37FGPewITHVZ1KeV0Juz5zJyVLkqvJLt0+jCYjK7bUotPreP9ne+ltn5xNPrvIw/aP3UHdllpMltv3LLEkZQJ5ZyhJ0qKnqC4w3QvGDRA5jYg2ATFQbCjGjaAriNdJT3XyN8UE+kqIHEmijxVUWfZNktLF6rCw7r4GlqyrpO10B+cPXyAajmK0GKnfuoyCqnxc2Y60ZCguX17MnmcTb6/TqxRWTa5J7MpxsvOXtrHu3tWcPdBEZ1M3sZiG3W1j1c4VZBW45Qq7NCuT1UT9tmWULS+mq7mHM3vPEw6GMZgM1G6ooXRZMc5s+5Q5ESRJml/yXShJtwEhtPg56Vg3InYBRBhFzQLDclA9KEpqaxBPOQZtDMQwRBoR2iAoBhRdNeiKxseQ5tM6ihGEEaGriW+BFxooZlCyAVNasrUrigKGBkTwdRAJbnnXrwTFlfKxSJJ0jd6gJ6vAQ1aBhxVblxGLxtAZdBhN6T07WViVT355Lpfb+hJqX7a8BE+Be8rHjCYDRrOByoYysouy0DQNi82EM9uO0WJM4ailxUyn1+HJd+PJd7NkfRWxiIZOr5PniCUpw8igXZIWuf+/vTsPjus677z/Pffe3hs7SHBfRFLcKZHURlGbJVqyrSyy5WUce+LE8ryZDL1n3tfjmkk8fziRa1Kp1LjGa6LITiWyY3m8xJtkWZYoUzspiaK4iSIp7juxdQO93vP+cUGIIACim0IDjcbvU4WS2Pdc9EPworufe855HuunIf8yNrsJiofeehwgEwdvBcTeBc6MirUZs8Vj2MyjQRV3mx4YgzsbE7kFG1qDcSrTD9j6PZDfhs0+CcWDXNhs1poYeMsh+m5wZ1Zgtr0Rwusg++sSxsYxkZtHt3q9iFxSkJyMTYLS0FrP2ruu4lf/+PiA3ulD8UIu175r9ZBt19JdPbz2u91s+fUrg9rHxetiLL5uITe/7wamzG4Z1filtoUjYdAqeJGqpKRdpIZZvweb/R1kfsqQFcxtD+RfwPpHMfGPgzdr9GMoHsWm/wmKw7QoKh7G9nwPot0QuQ3jjG7lYmt7IfcMtvfHQGGIAb2Q34ItHsEk7gNvzqg+v3GiEL0da1OQe+YSA+OY+IfBnTuqzy8i1cNxHVbdvIx0Rw+/++Gzw/Zb98Ie7/zjW1m4Zv6gYz3dvTz386089YNnhjy/p7uXlx/fzsmDp7n3s7/H1Dmto/73EBGRsTWhqsd/5StfwRjDZz/72f7HMpkMGzdupKWlhWQyyb333svJkyfHL0iRalLYD5mfMWLLseJRbO+PsH75lY0vxfqd2N6fDJ+w9/Mh84uy+pmXrHAwiGGohH1ACCewvT/EVqDdmnGaMLE/xMT/GLxFDHjpNQkI34BJ/BfwrsY4WtYqUssSDXFu/INr+OD/dw+L1lyBd0H17nAszNJ1V/LhL76PNRtWEUtEB51/YPshnnp4+IT/vGNvnOA3//IUqY70JceJiEj1mzAz7S+++CLf+ta3WLVq1YDHP/e5z/GLX/yChx9+mIaGBj75yU/yvve9j6effnqcIpVaZf0s2BTB0moTtAir4gTL+ilsbjMjJqvnFXaDfxqcUdxP7Z+F/M4SBxeDeL0Fo7ZMPlhpsBnIX/BgESheMCoE55fEF/ZC8dTotn3rY5xGiKwHb1lQwd6mABecxqAInlP5ugIiMrqKfpF0sQeLDxgiToSoO/L64nh9nOU3Lmbuspl0nuumuz2FMYa65iSNLQ3D9s9OdaTZ+utt+MURbsT2eeOl/XSe6SLZqN7rIiIT2YRI2lOpFB/5yEf4h3/4B7785S/3P97Z2ckDDzzAQw89xO233w7Agw8+yNKlS3nuuee44YYbxitkqSHWT4F/Cpt9tm8mOBdUBXevhMgN4LRWbC/222K7ykiYAYrY7HPgzBmVmxHW5rHZ5yn5pgFAfjf4HTBaP0/bBYUdff+fB5sJCvLZXoKbLy449UHhNxMGAzb3DLhzg2XtFWDcJkD9bkUmslwxR1ehi9e73+BA+gBZP4trXFojraysX05LpIWEN3yi7FufznwXhznMoehhCm0FwOI5YRbaK5iem0Z9qH5QjY3ucykOvHZo6G86hHyuwLZNO2mbNwXPmxAf+UREZAgT4hV848aN3H333WzYsGFA0r5161by+TwbNmzof2zJkiXMmTOHZ599dtikPZvNks1m+//c1dVVueBlQrN+O7b3Ucj9jkHJZ/FoMDMceQdE7whmUquJnwKyIw4beM7ZvnNGYQWBzYI/uO/rpeVKr7JeUgy9wb59m4Xi8SCJv5jfC5wBZ1ow6+2fI/gZVCZpF5GJrbeYYXfXbp49+xxZPzfg2LlcO3u73+CKxHxumXITjeHGQecX/AJHeo/yxKkn6cgP3pK0N7WXKZFWbp96G9Oi03Au6KzR3Z6ikCvjRijQfqKDQragpF1EZAKr+j3t3//+93nppZe4//77Bx07ceIE4XCYxsbGAY+3tbVx4sSJYb/n/fffT0NDQ//X7NmzRztsqQHW78b2/gpyTzD8bHEesr/GZn4TzMhXlcupgl6Z6vHlGeUYbA6KR4dO2PsVwT/Wt2z90vtERWTyyvk5Xu96nadObx6UsJ9nsexL7+e3pzbRnR98E/J45gSPnPj1kAn7eaezZ3jkxK85ky33xudg1fCqLiIib09VJ+2HDx/mM5/5DP/6r/9KNDp6s15f/OIX6ezs7P86fPjwqH1vqSHFY30z7CXIPgH+qZHHjSUnCabM1mHOlKB3+WgwUXCnlXlSFEz96Dw/gImBNX37x0dioXgSnGY0yy4iQ0kX0jx/7gX8kYp7Agd7DvJmz8FB579wbgu9xd4Rz+/Md7G1/WWyxbdWTNW31JXdP7tlVjPhaPXWXxERkZFVddK+detWTp06xZo1a/A8D8/z2LRpE1/96lfxPI+2tjZyuRwdHR0Dzjt58iTTpg2fLEQiEerr6wd8iVzI+r3Y3NP0V123ft9y765gT7TfFfzZnv/gVsBmnw2K1VUL0xAUPSuZh4ncgDGj06/YGA8Tvo6y+h+HlgZ7zEeJJQKhK8s4w8eE1wT720VELmCt5UD6TdLFnpLP2dW1m1ThrZuGXflujvYeLfn8N9MHSRXeqv5e15zkilWlt4UMR0OsunkZjlvVH/dEhKDQ5NE3jvPa5l1sf2onB3cepvNMN1YrAIUq39N+xx13sH379gGP/emf/ilLlizhC1/4ArNnzyYUCvH4449z7733ArBnzx4OHTrEunXrxiNkqRU2HRSds7aveNm5vuXVF1QhJxQkxm7fzGzh9b4Z3ZErB48F48QhchM2/yow9DLOAULLwWkZ3SCcZgitgvzWEgaHMOGbR7Won7FZCF+HzT4W7G0fSfhasIXg399UYXFBERk3PcVeDqQPjjzwAsd7T5ApZkl6wevJmz1vUrTFEc56S8bPcDxznJZIMwCJ+jhr77yaN14+QCE/8vdZfN1C6lvryopZRMZWbyrD/lcPsuXXr/Dm9kP9v9uOY5i1eAarb1/J4usWUtekzyWTWVUn7XV1daxYsWLAY4lEgpaWlv7H77vvPj7/+c/T3NxMfX09n/rUp1i3bp0qx8vbZMHPBIle8QhDF3TLgz0DhW5wZwfJfQlLJseUNx8Tex+294dcsoq7Ow8Tey9mFGe5AYxTB7E/CHqfF/dfKlBM7B4IXTGqzw9prN+BiX8Cm/42kLlECFdiYh/AFnZhQgtHOQ4Rmeh865MfZh/7sOfgU/Dfeu0tZVn8xTLFga9bc5fP4vY/upnH//UpioXh33PmLpvF7R++mUR9mdukRGTM9KYybHn0FR7/199RLAy8Eef7lkO7jnJo11GuO7Ca2z64nrpmJe6TVVUn7aX4+7//exzH4d577yWbzXLXXXfx9a9/fbzDklpgTFDAbMQK7NlgnDuTaiv5Y0wUG7kB49Rjs0/2tay74EOeaYTQ1ZjoOzBl7z8vMQZ3GiT+BJt5AvKvgG2/4KgT9GWP3ALeCowZ7V7lIcg+DtE7MXWfx2Z+HcRw4Q0MpwXCN2IitwXt3ggB7ijHISITnWMcPFP+xybPeev1JGzKX4kVdgaeE0tEueauq6lrTvLiI69wZM9RfP+t5bMNrfUsW3cl1//eWlqmq72kSDXb+9L+EW/AAbzwy5epa0py0/uuxwtN+PRNLsOE+1d/8sknB/w5Go3yta99ja997WvjE9AkYa0NlgxTBDyMM3z/2ZpgYuBM55IzswP0BrPtpvp+LsbEILwW3AXgn8YWD4HNBS3qvCvANGKcyi7pN24bxN4L0XdA4UAw825CGHcOuFMr1y7PJMCdjs38CrzlmNgfQux92MIBII9xGsCdhy0eCcb4pyD2/qr8d6w2mWKGovVxMETd6KB+0iK1JuZGmR2fxeHeIyWf0xZtI3LB6+u8xFy2tG/FUtoe1ZAJMT3aNjiWZJSrblvO/FVzOXesnWP7TlDIF2icUs+sK2dQ11JHODI69UlEpDK6z6XY8ugrIybs5730+HZW3bqM5mm6GTcZTbikXcaW9bNgOyC/A1vYCTYPJgKhq8BbBE7TqBUuqyrWYsJrsJkfQUkfrlxM+CouuQR9nBm3EdxGTGjR+Dy/EwHawG0bu/UIThOEroHiYSi8hi28Bs6MYK+98bDFE5B7/q397qYOE1qJMSraNJSCXyBVSHG09xj7UvvJ+Tk8x2NOfDbzEvNIugnCror4SW1yjMPC5AJean+FjF/aDd0ldVf272cHaAw3MCM2naO9x0o6f05iNsnQ0MthjTE0tNTR0FLH/JVzSvp+IlI92k92cGhX6TcB2090cHDHESXtk5SSdhmW9bsh9xw281jQv/rCY/lt4LRiou/BhtZgnNFe1jzeMsHNicg7IPvbkYdHNgT/tVlARX+qhTEOhNdg8y9Bsa+AlH8s+Bo8GiJ3BFsGZJBsMcu+9H6eO/sCnRf1lz6QfpMt57ayuulqltcvI+5pD63UpqSXZHXjVTx77vkRx06LtnFF4ooBq1CSXpK1TWs4nT1DboT98XE3xtrG1cTcWnt/FRGAU4fOlDzLft6R14+x+o6VFYpIqpmmk2RI1u/BZn+H7f2/gxL2fv4ZbM9DkN9SXa3ORonNbsJE7w4S92EZiNyJib4Tmymxp7uMKeNOxcT/I7jzLzHKg+jdmMh6jKMe7RfL+3n2pt7gNyd/OyhhPy9d7GHzmWfY1rGd3mKp20pEJpaIG2Fl40qua74G5xIfoWZEp/POtjtoDDcMOjYnPps7pr6D6CVea5JekjvbNtA2xNJ4EakNfrH84sXFYlEt4CYpzbTL0PwTkPkFIy8NL2B7f4zxFgAzxiCwseKAzWMzv8BE7oLwemz2KSi8FlSJNzEIrcSEbwETw2Z+DqYOtKy6KhlvNiT+ExRex+aeDToC2CI4CfCWYiI3gjOt9ms1XKbufDebzzxTUquqF869yJz4LGbGZ45BZCJjL+HFWdO0mnmJeezo3MmhnsNk/SwODlMirSxvWMbM2AzqQ0N34wg5IRYkr6A10sKe7r3sS+2ju5DCYKgP1bM4uYgFdVfQGGrE0XuKSM1qmFJ+x57m6U2qITNJKWmXQayfxWafoeT92TaNzb0M0TaMqZGq204DhFdB5hFs7/ffqnAee39QIN4C/glsfjsUDwA+RG8J+rZLVTJuC7jrILQMbI6gir4b7GOvcCG+icy3PvtSB0puVeXjs6NrF1MiU7S/XWpWzI0xMxZjSriV3mIvPhaDIeR4JLyRb/6FnBCtkVaaQk2sbFiOb4MZN8e4JL2EknWRSWDqnFamzm7l1OEzJY2PJiIsvlYtaScrJe0ymO2Gws7yzsm/CuF14DZXJqYxZowHoWuD2XXbA4W92MLevqMeg25omDpM+OrauWlRw4yjGyvlSBfS7EvvK+ucgz2H6PV7lbRLzQu74bd1nbuOS71T/mybiEx89S11rLxlKY//a2nbK6+8ZgH1LaqbNFnpVq4MoQh+qrxTbIoB/b9rgTMFE3s/Qd/uC128AiGCiX0g6PctUmN865Mpc4/6+XZwIiIiMjTXc7n69pUsvWHkrj4zF07jtg/eSCyhujuTlWbaZQgOGK+vEnqpam+G2TgRbHgNxoSwmUeDfdAXc+diou8CbxnGaFZRao8xpuyluo5xMGPX2E9ERGRCapxSz3s+sYH61nq2P7WTnq6BW9HCsTBXrrmCd/zRTUyZ3TpOUUo1UNIuQwiBOwP6l4OXwJ0VFGerMcbEsKG1GHcBFI9g868E+6FNBBNaE/ycnEb19ZaaFXYitERaOJs7V/I5reEWPKO3FxERkZE0Tm1gw0dv4fp3r2H3i3s5ceAU1lqapzWyfP0SGlrqidfX3mdsKY8+Vckgxm2E8LoL9nCPeAYmvL5mK28b44LbEnyFVoAtgPG0f10mhagbYWXDCvZ2v4EdsZtEYEn9YpIlFOMSERERiMYjROMRpsxuoZAr4FtLKOypUrz00/SgDM1bDO7cEscuA29ytHcyxsU4ESXsMqk0h5uZn5hX0tgpkVbmxufqg4aIiMhl8MIe4UhI76MygJJ2GZJxWzHxjwbL3i/FW4SJfxDjNI5JXCIy9pJeglum3MTs2KVfD1rDLWxou4PGsCr0i4iIiIwWLY+XYRlvDiT+H2xuC+S2gH/s/BFw50D4Okzoaoyrwhgita4p3MQ7p21gX2ofe7pf50TmZP+xlnAzi+oWsrhuMc3hpnGMUkRERKT2KGmXSzJuG0TfBeEbgv7tfUXYMHUqwCZjzloLfgf9bfeMB6ZRS8jGSEOontWNV7MouZCeYi95P4dnPGJenKSbwHW0bWQspQopiraItUHF/qSXKLvSv4iIiFQ/Je0yov5CbKgPuYwPa4vgn4H8LmzuBfDPBgecJkz4WmxoOTitGFUsrzhjDHWhOupCdeMdyqRkraWr0MWRnqPs6tpNe74DiyXhxlmYXMDC5ALqQ/WEnNB4hyoiIiKjRJ9wRaSqWVuAwl5sz0Pgnxp4sNiB7T0A2WZM7MPY0FKMUbIitclay4nMCR4/9QSns2cGHEsX0pzKnubljm3cOuVmFiSuIOyGxylSERERGU1aRyci1a14EJv+zuCE/UL+OWzPd6Gwb8zCEhlrZ3NnefTEY4MS9gv1Fnt5/OQTHOw5iG/9MYxOREREKkVJu4hULeunsJnHwHaUMDiFzfwa63dVPC6RsZb382zreJX2fMfIY22eF89tJV1IVz4wERERqTgtj69y1vrgtwezjP4ZwAG3Ldi/O0HarFmbD4qHFY+C7QJCQSs5pwnjJMc7PKlmfjvkd5Y+vrAn2O/u1FcuJpFxkCqk2Jc+UPL4k9lTnM2dU+2BKuZbn1QhTUeunc5CFwZDU6iR+lADdaHJ8d5orSVVSNGR76Qj34HB0BBqoDHUSNJLqMioiEgfJe1VzPodkNuKzT0HxUMXHHHAWwDhmyC0EuMkxivEEdniKWz2d5B/qe+mw3kRCC2ByG3gLsA4kfEKUapZYR+QLecEbH4nxptfqYhExsXZ7LmyZ873dr/BnPhsVZSvQulCmte797Krazcns29t/TEYpkensaJhOfMT84l7sXGMsrLShTRvpPaxs2vXgBaSBsO0aBvL65exIHkFcS8+jlGKiFQHJe1Vyvrt2N5/h9wzQxz1g8JchX0QfQ9E3lGVM9a2eByb/mco7h/iaBby27CF1/sKiK3GOCqaJANZ23MZJ13GOSJVLufnyj4nb/P41lfSXmVShRTPnX2B7Z2vDTpmsRzLHOd45gTXNq9lTdNqYm7tJe7pQprnz77Its5XBx2zWI5nTnAic5L2XDvXNK9V4i4ik57eyauQtTlsdvMwCfuFfMj8EvKvBv2rq4j1O7G9PxomYb9wYC+29/vgHx2bwGRCMeYyPqhdzjkiVS58GTc1QyakhL3KFPwir3XuGDJhv5DF8uK5rbzRva/q3t/frqJfZFfX7iET9gtZLFs7XmZP914VVRSRSU/v5tXI74Dcs6UODhL8Ugp1jSX/DOR3lDbW9mCzz2D9cpZBy6TgLQDK2TrhYULLKhWNyLhpiTSTcMvbCrWwboGS9iqTKqTY2bW7pLEWy2tdO0kVUhWOamyliil2dO0qefzOGvwZiIiUS+/m1ajwRlBMq1TFA1A8Xbl4ymT9LDb7LFAs/aT8q2A7KxaTTFBOU1D7oFTeInCaKxePyDhJekmuSJZeq2FqZAotYf0uVJvjmeN05kt/rzuZOUl7rqNyAY2DU5nTnMudK3189jRns6WPFxGpRUraq5AtHCzzDB/84xWJ5fJkwD9R3im2A2xvRaKRics4SUz0TjAlVIM3CUz0TozTUPnARMZYyAlxVeNKGkMjX9+e8bi2+RqSXvXVOpnsTmZOjTzoAhbL2VwZN/EngFPZ8icZTufOjDxIRKSGKWmvMsHetcvYu1VVe95s39flnCdyEXceJvEn4LQOP8Y0YuIfC2baRWpUa7iVu6a9k5Zwy7Bjok6UO6a+g3nxuVoaX4XsZby/+zX23mgvY396re3rFxEpl6rHVxljDNZtK/9EZ/gPcWMvAqaxzHOiYKKVCEYmOGM8rLcEk/w05Hdgcy++1T7QaYLQNZjwKnBaMUYvaVK7jDFMj07nD2b8Hkd6j7Crazft+Q6stSS8OAuSV7AouYjGUAOeo9+FatQUair7nIZQCSuNJpDGcONlnKMVVCIyueldvQqZ0HJs5pdgS+zJ68wAd0ZlgyqDcWIQXofNb6Xk2fPQcjB1FY1LJi5jXHDbsM5UTHg12ELfATeYZdeMokwSxhgaww00hhuYF59LwQa1QxxjSLgJXMcd5wjlUuYkZhM/F6OnWNp2sOZwE1PCl1hlNAHNjM0k6SVLLi7XEGqgLXIZkxkiIjVEn3SrkWmE0NWljw9fB05jhYK5TO4McOeVOhgTWY9xyquMLJOPMQbjNGHcKcGX06yEXSatZCjZn8DXh+qVsE8ASTfJguSCkscvTl5Zc7UJkl6CRWX8DK6sW1RzPwMRkXLp024VMk4ME30XeAtHHhy6BhO5IZiJrCZOEyb+gRKW7TsQ/b0yEnwREZGJKeyGuaZpDbNiM0ccuzC5gOUNy2ruZkzICbG68WrmxGePOHZ+Yh6rGlbg1djPQESkXMaqugddXV00NDTQ2dlJfX317B2zxVPYzK8gv23wUnnTCOHrMZF3YNzy98iNBWuLUDyE7f05FPYA+YEDnBmYyK0Qvgbj6C66iIhMDh25Dl48t4U3UvvJ+JkBxxJegsXJK1nddDX1odrdNtaZ6+TF9q28kdpH70XbBRJunEV1C1nbtIb6GtvTLyJyoVLzUCXtVG/SDmD9HrCd2NyrfW3UHIw7J+hdbRoxTmS8QxyR9bvAP4fNvQx+B5gQJrQM3DngNKp4mIiITDrZYpZUIc2B9Jv9fcunRqcyNz6bpJck5ITGOcLKyxazpItp3kwf5Ew2aG03JdLK3MRckm6CsBse5wilHNZairaIwdTcChGRSik1D1W2VOWMEwfimNj0vjYpBmPMeIdVJgs44E4P2nYZB4ihFm8iIjJZRdwIETdCS6QZ3/qYCfn+/vac/xk0h4OfAaBWhRNQT6GH7kI3r3fvJVVI4xjDjNgMZsdmkfSS6mYhMgr0WzSBTLSCW9YWoPgmtvdnUNgLFN86BuBMxURuxYavxzi1uwRQRETkUpSo6mcwEVlrOZ09zbNnn+dgzyGK9q3PeTu7dlPv1bG8YRkrG1aQ8FRsWOTtUNIuFWGthcIBbPofwXYMPcg/he39IdheiNyu6vEiIiIiE8Sp7Gl+dfwR2vMdQx7vKnTz7Nnn6S1muK75WhJefGwDFKkhuq0pleG39yXkHSMMtJD5JRTeHIOgREREROTtShXSbD7zzLAJ+4Ve6djGoZ5DlQ9KpIZppl0qo3gEim+WONjH5jaDN7eiVeRtsYOggn3fHntTj3FU5EZEypctZskUM1gsYAg7IeKaRRKRSaIr38mRniMlj9/RuZM58dlaJi9ymZS0y6izfg8291x5J+V3gk0Bo5+02+IZKOwJYioeB4pgkuCthMj1wd56Jzbqzysitaen0Mu53Dl2dO7gcO9Rcn4Oz7hMjU5lRf0y2qLTqAuphaWI1K6iX2RX1x58/JLPOdp7jFQhraRd5DIpaZcKyIHtLPOcTLC3fRRZa6F4ENvzL1A8fNHBHsg9js39DhO7Bxu+QXvqReSSUoU0W89t5eWObX0z7IEscCD9JgfSbzI3Ppd3TL2FpnDT+AUqIlJBeZsnVUiVdY6PT08xXaGIRGqf9rRLBRgu79Ia5cvRP4lNf3dwwj5ALth7n3sRa/Oj+/wiUjMyxQwvt7/CSx2vDEjYL3aw5yC/PfUk3fnuMYxORGTsXG57Qkdph8hl02+PVEAUnOnlnWKawIzeEnVrC9jcs+AfK2G0j80+Bn7HqD2/iNSWrnw32zpeLWnsoZ7DHOk9WuGIRETGR8gJMSXSWtY5ESdM0tPWIZHLpeXxMuqME4HIDdjc00ChtJNCV4FpGL0g/A7IvVTG+DNBL3l3yujFIANYPxd0EygcxNoODB54s8G0YtzG8Q5v0rB+F/jnoPAmlhzG1IE3H0xT8LsrgxT8Inu695AvYzWOii5dWtEvkiqkOJ07Q2e+E4OhJdxCU7iJOi95WbN4Mjml8im6Cl2cypymaIskvARt0TbqvCSeo4+5leAYh0XJRbzc/gpZP1fSOXPjc/V6KPI26NVMKsNphdBKyL888liTwETWjW7C4LeDf6qsU2x+O4RWqyhdBdjiKWz2yeB68M8FjwHggrcAIrdBaBlmFFdbyEDWz0LhdWz2CSjs4fwNNQtg6iG0CqIbMG6Zq2Qmgd5iD4fLnDk/kTlJ1s+RQB9SL9ad72ZH5072pF7nXK59wLG2aBsr6pexMLmQuKfXAxletpjlYM8htnVs51jvsQFF0eq8JAuSC7i68Sqawo3jF2QNS3oJrqxbxPbOHSOODZkQKxtXEHWjYxCZSG1S0i4VYZx6iN2DtalgBnvYgQlM/CPgzhzlCLLln2JzQHGU4xBbPIFN/zMU9w1xtBgkkoX9mNi92Mg6Je4VYP0c5F/G9nwPyAwxoAtym7HFNyH+pxhv1liHWNUsloJf4qqhPgVbwNrSKytPFl35bp46/Tv2pt4Y8vjJzElOZU7Rle9mbfNqYq5eD2SwnJ9jV9dunjqzmaId/L7dXUjxSsc2TmVO8c5pd9Acbh6HKGtb1I1ybfO1pAs97E8fGHZcyIS4deotTIu0jWF0IrVHe9qlYow7DRP/GETfA87FL9ZRCK3FJP4MQisxJjTKT34Zd3NNBN3HGl3W78b2/myYhP1CBWzvj6Cwf0zimnT8o9jef2PIhP1CxSPY3h9i/fZLj5tkDA5hp7zXqJATwjF6i71Q3s/zcvsrwybs51ksW9q3si+1P+gCInKR470n+N2Zp4dM2C90LHOcZ848R0+hZ4wim1waQvW8Y+ptrG+5kdbwwD3unvG4IjGfu2e8m8XJRYTd8DhFKVIblKFIRRl3CkTvhvB6KJ4A2w0mFBSqcxor12bNNIIzo8RCdH2nhFZjHC3dGlX+OciXVrwL8tjs0+DOU/u9UWT9LDb7TNDmsBSFPVA8CY5alp0Xd2PMic/meOZEyefMiE0nohoBA6QKKfakXi9prMWyo3Mnc+NzqAvVVTgymUgyxQzbO1+jYEtb/bI/fYBrC2uJe/EKRzY51YfquKZ5DUvqr6Q910G6kMZ1XJpCQX2KmLa5iIwKJe1SccZ44LYGX2PFaYTwWsiUmLQ7bUExLhk1QQX/F4DSitQAkN8BthO0D3j02M4ybpwA+NjcM303T3QTC8B1XK6sW8TLHdvIlVh0aXn9MiUJFznUc5h0ofQ+zcczJ+jMdypplwHShTQHew6VPL5oi+zq2k1LuBXPcSsY2eTlGIf6UD31ofrxDkWkZmntntQkYzxM+Dpw55UwOoSJvidI9GX02EywuqIsGfC7KhLOpGWzQdX+chTPMOJS+kmmzqvjmqa1JY1dmFzAjKgK+l3IWsupzOnyzsHSnuuoTEAyYfUUe0u+eXZee76DfJnniIhUEyXtUrOMOxWT+GPwrrzEoAQm/mEIXxWsCJAqoD2so+tyfp76N7hYxI2wsmE561quxxvmtcJgWJxcxC2tN5EMqR/xaNCVKBezl3NVWEBdBEVkAlOWIjXNuDMh/qdQPBT0jS+eAIpgkhC6ChNeDaYFY7T3dNSZCDgtZZ4UBqOlsKPKRIOfqe0u/RynGVDRoIvFvThXN17FFYn57OrazaGew2T9HJ5xg1ZlDctoDjerF/EQjDE0h8uvk9Cg5bZykbgbwzNeyXvaAepCdYRGu+CtiMgYUtIuNc+4zeA2g7cwWLKNBeOCacAY7W+rFGNCELkhuFlCiR+uQkvAaahoXJOOqYPQcsg9V+oJmPA6jKP92EOJulGibpTmcDOriz391c2jbpSIq5t/lzI/OY8X27fSW+wtafzUyBT12JZBEm6COfHZl2wzdiEHh2X1S/AcfeQVkYlLy+Nl0jBOEuO2YtwpGKdZCftYcFrAW1LqYEx4PcbRTPtoMk4ME76JkmfO3fngzqhoTLXAczzqQ/U0hBtoCDcoYS9Bwk2wMLmg5PFL65eS9LTNQAaKeTFWNCzHKfEj7Oz4bBpCuhksIhObknYRqRjjNGBi7wV35ggjnaA1oLdoTOKadLzZwb/DSIurnFZM/APB6hSRURZxI1zTtIbZsVkjjl3RsJzFdYvU616GNCM2g+tbrsOMsFG9JdzCzVNu1JYVEZnwtFZIRCrLnYlJ3Ift/RUUdgzuF+7OwoRvhvBa9WevEGOi2PA6jIljs09A8SADS3xFILQ06KLgzh6vMGUSaAw3sqHtdra2v8y+1D7SxYGvB42hBpbWL2VFw3IlWjKsmBvlqoaVxN0Yr3Zu53T2zIDjESfC3MQcrm++jpawbkKKyMRn7PkNeZNYV1cXDQ0NdHZ2Ul+vojcilWD9HrAd2PyOoKWYCWO8BUGS6DSO2XYFay3YHEFBwvCk6hpgrQW/Hfzj2MLr4GeCn31oBThNGEdLkWVs5Io50sU0h3oO055rx8FhSnQK06PTSXrJkvtpW2sp2AK+9fGMh6s+3JOKb31ShRSns2c41nuMvC1Q79UxLzGPpJcg6kbHO0QRkUsqNQ9V0o6SdpHJwPp9/crzu7CFvUABTB0mfC24U8E0Yox6AolMBNlilnQxzf7UAU5mTuHjk/QSLKlbTH2oXrP0IiIyIZSah06eKSYRmbSs34nNPg3Zp8C2DzyWexrc+ZjYPVjvikk18y4yEXXnu3mp/WV2de8ZVIl+e+cOZsVmsr51HVMiU7QnXkREaoLezUSkplm/G5t5DDI/HZSwB3wo7sOm/wEKb2CtP+YxikhpUvkUm888zUsdrwzZOq5oixzsOcQvjz/C6ezpcYhQRERk9ClpF5HaVtgH2d+MPM52YXv/b7DnW0SqjrWWN9L72N39+ohjO/KdPH3mOdKF9BhEJiIiUllaByoyRqzfCzYFFAEDJqx91BVm/e5g+Tsllu4oHoLiEXBbKhrXeEsVUuT9AhYfB5eYG1Wfcal6qUKKXV17Sh5/pPcIXfku7W8XEZEJT0m7SIVZPw3Fo0HymN/dl7i7QSu08PXY0DKMO3W8w6xNNhX8zMs5JfcceIswTrxCQY2fznwXh3oOsatrN6ezZyjaIlEnwsz4TFY2rGBKpJWYGxvvMEWG1FXo5mTmZMnji7bInu7XaYu2aW+7iIhMaEraRSrI+t1BX+zMIwQz7OcVoLgf27sfcrMg/lFw52nWfbTZHiBX5jndQL4S0Yyr09nT/ObkbzlxUdKTLvbwevde9na/werGq1jbvJakZialCqULPdhSV830SRXSFPwCYTdcoahEREQqT7eeRSrE+llsdjNkfsnAhP0ixSPY9D+DX/oMkpTqcno2u0Bt3TzpyHXy2InHByXsF7JYXup4hW0d28gWs2MYnUhp3MuYLTfG6GaoiIhMeEraRSrFtkP2t5S0n9o/hs29iLWFioc1qZg4mKbyznFngqmdJeK+9dmf3s/J7KmSxm/reJXuQqrCUYmUrz5UT9gpb8Z8WqQNT20cRURkgtM7mUgFWOtj86+B7Sr9pNxWCK8Dt7VygU02phFCV0PuiRJPCGHC12NMqIJBja10Ic3uC4p3WZsDm+vbOuADHjhJIIQxLlk/x97UXppCjbjO5axUEKmMpJdgTnw2b6T2lTQ+7saZn5yvmfYKyhazpAtpDvceJVVI4RmPGbFpNIYaSXpJ/exFREaJknaRSrBpyO8q7xz/eN9+aiXto8U4YYjciM1vLe0GSngNOM2VD2wMZf0cJ7OnsLYYXF/+2eD6vJDvgqnDOlPARDnSc5SVDStJOtrbLtUj5sZY1bCSg+lD5O3IdSeW1S8h6eoarpSz2bNsObeV/ek3yfiZ/scNhunRaVzVuIr5iXnqTCEiMgq0PF6kInwuq5hZCR9EpUzuDEz8I2DqLj3OW4GJ/j7GGWHcBFO0hb6EvQOKhwcn7MGovuOHwPZSsAWs9cc4UpGRzYhN57apt4y4TH5Z/VKubrxKBegq5HT2NL88/ig7u3cPSNghqI9xLHOcX5/8DTu7dpPzyywGKiIig2imXaQiQmCiZZ5jwGhGYrQZ42FDyzHJP8dmn4L8a31t9/q4syF0HSa8FlOD/dk9E8KxOfzicUaur5AF/zghswDXaGm8VJ+QE+LK5CLqvTpe7XyNgz2H+pPC8zO8S+uXcEVyPkkvOc7R1qZUPsXvTj/NmdyZS44r2iKbzzxNS6SZOfHZYxSdiEhtUtIuUgHGiUNoNTa/rfST3LlQY7O81cKYEHgLwJkB0U7wT4MtgEkGy+GdJkyN9nGOOB4zow0cTpc4c27TLEjMVr92qVphN8ycxBymRqeSKqToynfjW5+4F6feqyPhJbSXuoI6850c7jlS0tiCLbCjcwdTI1OJapm8iMhlU9IuUineQnCmBAliCUz4hvIrnUtZjBMDYuBOG+9QxkzC8VlWv5DD6S2ljfcamBtrBpupqSr6UnuibpSoG6U1ojogYyXv59nRtQuf0rfPHEgf5Ppij5J2EZG3oTanlkSqgdOEif4eJd0b85ZAaJVmh2T02RRzYkkW1F094lDHuKxr3UDSHgTUq11EBsr5ebryZXRFAbJ+lkwxM/JAEREZlpJ2kQoxxoPwVSMUQXMgdDUm/kc1uZ9aqoElkfsFt7bewJL6a3EYeq961E1wW9sfsijm4BXK2NYhIiIiIhWl5fEiFWRMDBu6BuNdgc29CvlXgurdxgV3FiZ8I7jTMU7DeIcqtcpEwGaoz/+YW1reyarGq9jZuZMTmUP4tkjEjXFFcjELk1eQtG8Qyj4JodWAlrKKyEBhJ0R9qB56Sz8n4kSIuuUWZhURkQspaZcRWT8XtIPyT4PNBftcnZa+4l26hEZinDAwDaJTIXwtUCSoFB8LCtaJVJJpgNBKyD1NPPs9os4MmhuXk+FWMB6OzRK3B/Gy/wKkAIOJ3Ni3/19E5C0hJ8Ty+qXs6tpd8r72+Ym5JFy914mIvB3KuGRY1lrwj2Izm/tmiNvfOuhMhfAaCK/DTKKiXm+HMQ64KjQnY8s4EYisx8++SM7vpiu7jZ7CcxRtsX9M2AmT9BIkvSReeOmkKtQnIuVpCDUwOz6Lgz2HRhzrGY/lDcuJqAidiMjboj3tMiRrLRT3YVPfgtwTAxN2AP8UZB7Bph/AFkpr/SIi48OaGRSi93Aq20F3PjUgYQfI+TnO5dppL0bwo+/DOM3jFKmIVLtkKMnNU9bTGr50HRbXuNzUup5p0bYxikxEpHYpaZeh+aex6X8JkvNLKR7C9n4fWzw3NnGJSNnOFtLsytYRq/9zopGVcFExOsepIxm/HZu4j61dZ0gXesYnUBGZEKZEpvCe6e9iWd0SYu7ArTQGw4zodO5s28Cy+iWEnfA4RSkiUju0PF4GsdZCfgf4x0s7obAXiofArezsnLV5sH1tqEx0XPbTW78H8AFXe35lQij4RXZ37WZr+8vMT8xjafI/0BDPYwtvYGwWnAasdyWHMyl2nd5FR76TOfHZJLzK7kEt+AXyfh5jDGEnjGN0D1lkImmJtHDb1Fu5tpDmcO9RUoUUIeMxPTadxlAjSS+hNqZjyLc+OT+HxeIZj5ATGu+QRGQUKWmXwWwHNvdCeafkngFvIcZJjn44fif4Z7HZ58E/EzzoToPwdeA0Y5zh2qmN0vPbPPjtUNiLzW/vK8YXgdBV4C1QQT6paulCijdS+7BY9qcPsD99gNZwKw3hZlxc8jbPycwWeopvza7v7NpFa6S1Ih/6uvMpOvId7OraRbrYg4PDlEgri+oWUeclVWVaZAKJuBEiboTmiLbUjJdsMUu6kGZfaj/HMscpWp+YG2VJ/WJaws0kvaRuiorUAGUaMpjNg3+ivHOKJ8BmgNFN2m3xKLbnR1DYDRTeOlB4DZvdBKFVEPuDihXDs34acluw2V+/dcPg/LH8S+BMxUTfhQ2tViV4qUo5m6cj3zngsTO5M5zJnRnmDDiTPUu2mBvVpL1oi5zKnOJ3Z57hWO8xLLb/2P70AV7u2MaVdYu4rvlaGkL1o/a8IiK1KpVP8XLHNl7r3EHGzww4trt7D22RqaxvvZGZsZl4jjvMdxGRiUC33mQIFmxprVzeUhx5SLlRFI9h0/8EhdcYkLD3y0N+Kzb9z9jiCHvvL+f5/V7IPYft/f6ghL2ffwrb8xDkt2AvesMUqQa27N9lsFhsie2cSnUqc5pfHn+Eo71HByTs5+X8HK917uDJU0/Rne8e1ecWEak16UKa58+9wJb2rYMS9vNOZk/xqxOPcqT3CP5lvBeISPWo6qT9/vvv59prr6Wuro6pU6dyzz33sGfPngFjMpkMGzdupKWlhWQyyb333svJkyfHKeJa4UK5S85NPRcXt3o7rN+DzTwCxRIq0xf3YTNPBP3kR5N/Gtv7UxgxeSlge38M/tnRfX6RUeA5obILQcXc+KjOsqcLaZ45+yxdhZGT8f3p/ezpfl0fMEVELuFIz1Fe7XxtxHG9xV42n3maVCE1BlGJSKVUddK+adMmNm7cyHPPPcdjjz1GPp/nzjvvJJ1O94/53Oc+x89+9jMefvhhNm3axLFjx3jf+943jlHXAFMP3sryzgmvAadh9GKwHZDfXvr4/MvBOaP19DaPzT0PZEs8oQeb34q1Q60IkNFibQ5bPB2swigeC/7fL/HfaJKKuzHmxuf0/9laG/wcbQbr92JtdtB1u7R+8ajuLe/Md3Gk52jJ4/d0v64PmCIiw0gXetjRtbPk8aezZzidHX5LlIyObDFLR66DM9mznM2eozPfRdEf/ZWoldRT6OFcrp0z2TOcy52jO98dFKiWcVfVe9ofeeSRAX/+zne+w9SpU9m6dSu33HILnZ2dPPDAAzz00EPcfvvtADz44IMsXbqU5557jhtuuGE8wp7wjBOGyPXY3NOUlLSaekxoJWYUC53Y/E6wZbSdsu1QOADu1NEJwO8q76YBQH4bhG+qeBX9ycj6OfCPBzdS8tveWtVgGoO6BpF14MzAOJFxjbMaRd0oyxuW8UZqH77NBNe23wFkAAs4YJJYpxlMjNZIG22RUfo9IqhovKd7D34Zy+1PZU/Tme+iXnvbRUQG6S32cKS39BuhALu6djMrNpOIq/fJ0ZYpZjidPcNrnTs42HOI3mIvBkNzuIlFdQu5MrmIpnBTVRcETBXSHOs9xo6unRztOUbe5nGNS1tkKkvqFzMvMZeG0ChOzknZqjppv1hnZ1BMqbk5SIq2bt1KPp9nw4YN/WOWLFnCnDlzePbZZ4dN2rPZLNnsW8loV1dXBaOeoJw2TOwebO8PufR+9Qgm/gFwWkb3+f3y+75b287oNZfxwZY50+enqMTe/snO+lnIvxLUFrj4Ro5th9wmbO55TPz92NA1asU3hGmRaVzTtJIXTv1foPeioz7YLih2EfNmc8uU95IMjV5ByYJfoKdw8XOO7MJq9iIi8pasn6Noy/u80VvMULAFIihpH009hV62d27nubMvDLg5bbGczZ3j7NkX2NG5iw1ttzM7Ngu3CgsCduW72Hz6GfakXh/weNEWOZY5zrHMcaZFp/HOtttpjbSOU5RSvbd8LuL7Pp/97GdZv349K1asAODEiROEw2EaGxsHjG1ra+PEieGrn99///00NDT0f82ePbuSoU9IxolB+HpM/MPgtA09yJ2FSXwMvKswZpRbQ13W9xvt9lRlvrCq7VtlFPYGxf4uufIig+35ARR2ahnXEKKmi9XJODdPvYO60OCVIAbD9NgC3jP9ncx0z+LY0Suq6Bjnsno1u6b6PtiIiFQD5zI+vjvGwYzi1IZAwS+yu3s3z559/pKryboL3Tx28nFOX6Jry3jpKfTw7NnnByXsFzuROcFvTv6WrrwmOsfLhMkyNm7cyGuvvcbmzZvf9vf64he/yOc///n+P3d1dSlxH4JxEtjwOoy3FAoHsIVX+3qURzGhNeDO6utRPvr3foy7YIj60pfiYNw5Iw8rOYAwuDOgUMaLkzsdjHpMjybrd2GzjxMs5R5JDpt5HONdAaap0qFNGNb62NxLxDK/5Kr4jSxMfIgjvac41HOIoi0QdeMsrltMs2eJF7dgeveB9/+CkxiV5/ccj5mxGezpvvQHgguFnTCNWoYnIjKkmBulzquju4Tinue1RaaUXZRULi1V6OaVjm1DdkQZPDbF9s7XaA41EXar59+hM99Z8vvz8cwJDvYcYmXDigpHJUOZEEn7Jz/5SX7+85/z1FNPMWvWrP7Hp02bRi6Xo6OjY8Bs+8mTJ5k2bfi+3ZFIhEhEy4NKYYwHbmvwFboKKIAJjf7M+sXcmcFNgVKqxwN4C8CZMuQha4vBHt7iYWxhX9CH3m3BhJaDaRyyv7pxGiB8A7awu+SQTXg9ptyq+3Jp/lkolJ7sUTwAxVPgKGnv53dAfguQxcs+QcL+jkXeImbXN+KTIGRyhP3f4GQO99+As/kXwZ0W/P6PgjnxOSS9ZMnF5eb2jRcRkcGSXpKFySt4uWNbSeNDJsTiuivxnAnxsX/CONp7jM4yZp4PpA6wtmkNzVWStOf9PDu7dpW11WJX127mxedRN4rb6KQ0Vf3ba63lU5/6FD/+8Y958sknmT9//oDja9euJRQK8fjjj3PvvfcCsGfPHg4dOsS6devGI+SaZpwwMEYvNE4TJnILtuf7jNxyzcNEbsW4jYOOWD8FuS3Y3FNQHFi0xWZ+Cd4KiL0b484Y4tsuAnceFN8cOV5vEbhzRx4nZbGF/UA5Ffl9bOF1TGhxpUKaeGwvFIMevT2FHjoLXWR79g4Y4hhDzI3RGGok4oShsA9sGszozHYnvQQr6pfx3LkXRhwbccKsalw5qtXrRURqied4LKtfxuupN0gX0iOOX1x/5ajWKpGgXsuhnsNlnZMu9tCZ66A5XB0TC73FDCcy5bXJPpU5TcHmKxSRXEpVJ+0bN27koYce4qc//Sl1dXX9+9QbGhqIxWI0NDRw33338fnPf57m5mbq6+v51Kc+xbp161Q5foIzxsGG1kI0BZlfMHyBtxAm9l7wlg86Yv0UNvsEZH7JkIm/7YH8C1j/GCT+FOPOGnDYuK0Q/wi257uXnvF352Li/wGjqvGjz15GO7dR3I9dGwr4tkh3IcW53Lkh9/z71pIu9JDzc0yNTCFi8zCKfdJDToiVjSvoLfayrXP4rgwRJ8I7pt7K9OjwK6VERARaws1smHo7vzn5W9LF4RP3RcmFXN98LTFXRVpHU9EWKVxGm998mQUEK8tSKDOeoi2qdtA4qeqk/Rvf+AYAt91224DHH3zwQf7kT/4EgL//+7/HcRzuvfdestksd911F1//+tfHOFKpBOMkIXIbuDOD9nP53UCu72gUQssx4fUQugJjhngzKuwdPmG/UPEItvcnEP9jjDOwxZTx5kDiP2FzL0BuK/gXFDh0ZkD4Gkz4WsxotZqTAYxTV2ZtA8DRXugBTJicb4dN2C+U9wuczZ2jLRzBG+VCcEkvyfUt1zM9Np2dXbs42nusf0le1IkyPzGPlY3LaYu0aQmniMgIXMdlbnwOfzjz99jRuZM30vv7Z90NhunRaSytX8L8xHwtZa4Az3hELqPNbKyKWu4ZTLC6rgxhJ1zVretqWVV/MirlTk40GuVrX/saX/va18YgIhlrxklA+Opgz7p/LugxbQyYenBaguNDCAqYbWbkpfV98ruC/dPO4L7Qxp0G0fdA+EawHcHsr4kGPcKdRoyqXFeOtxBMIliqXZJIUDjxEqyfDpaMA2DAaRi1vdvVyCdK1szG2kMljc8UsxS9lXhm9OszJLw4S+uXMCc+m3QhTW+xF8e4JLw4CTeh/sEiImVwHZe2aBvN4WZWN60mXUhRsEWibpSEmyDpJS6re4eMzHVcFtddyY6unSWf0xJupr6KiqwmvATzE/M4nhm+49bFZsdnafvaOKndT6pSE4IicmchvxNb2BkUkcP2VbBfhfUWgdM6+E3J74TCnjKeqYDNPg/u7CETuP6CfKg/5ZgyjRBaCbnnShsfWjpsETrrd0DhSLBqo3iEoKhiIvj+obXBdeTU3htRjx+iEL4Oep4uabznTqHHzMH4uYol0QkvQcIbner0IiKTXcgJ0RRupCncON6hTCrN4SamRdtK3hd+Zd0ikm71vPc5xmFhcgEvtb9Cxi9ta+GKhuVK2seJknapWtYWoLAb2/M98Af3trT5l8GZjon/EdZbMHDG23YBZRbKsGf7ZtH1a1EtjBODyDuxhQPgj/Cm6LRgou8OtlVcxBZPYHsehsIOGLDg/lzQVSDzW0zsD7Hh64ddvTFR9RZ76LZtJGK3ku7ddMmxhhDx5Ic40NvB4lCeCJr5FhERGUrSS7Ku5QZ+dfzREZPeGdHpLKlbgutU1+rMOq+OG1quY9Pp343Yum5VwwqmRobu1CSVp00JUr0K+7Dp7wyZsPfzj2N7HoTixRU8L3c5mJaRVR13JiZxH7gLLjFmbt+Y2YMO2eJZbM+/QuE1GPYNKYPtfRhyL2L93DBjJirDk2deJRe5m2T8TgxDt2t0nWbqGv6Mw4VW9qXKq4grIiIy2RhjmBmbwV3T3klTqHHoMRiuSMznndPuoDFcPUvjzwu7YZbWL+G2KbcMW6zQMx6rG6/iuubriHuD2yTL2NCUolQl63dhM4+C7R55sH8Om3kM4h95q+e6aQAiQBnVx51pYKqjd6a8xRgD3lxIfAKKR7G5Z4ItE9igNWD4xiBZd5oHbZOw1kL+1RJ7vfvYzCOY0FKgrRJ/lXERdkIUKfLr0y9xQ9PNTG2+FZt9lnz+DazN4zpJvMg1+N4SdqbOsK3zJa6sW0RYvwsiIiKXFHJCzEvMpTnczLHeY+zufp3eYg8GQ3O4mRUNy2gMN5L0qrcYYNSNsrxhGXMSs9mfOsD+9AFyfg7PeMyIBSsE6kJ1xLQsflwpaZcR5Yo5UsUUZ7PnyPt5Im6E5nAzdV6yclWe/XPl7Ukv7AyKxNGXtDsNEFoG+ZeDP9tC3374LMFsqwcmAoSCwnaEgyrwWhpftYzbDG5zUJTwfFs3Ex5yOXw/24HNPV/6k9h2yO/GOlNrpnhPwkuwIDGfVztf4zenn6cp1MgViZVMiVyHZxyyfpGD6XYO9jxH1s9iMCxvWEbYVdIuIiIyEsc4NIYbaAw3MC8xl4ItYggqrU+UAqshJ0RzuJnGpkaW1C/Btz4GiLlxvCpb0j9ZKUORYfnW53T2NNs6tnMgfYCeYm//sTovyRWJK7iqcSXN4cEznG+Xze8Ayuh/aXug8Aa4M4C+dnHhm7C5V4Nk3j8LNsXAavJRcBqDr/A14KjP+kQQrKYocXmWn4Lim2V9f5t/FRNeC6Z674qXI+SEWFa/jD3de8n6WdrzHWzt6Bh2/Oz4LJpCQxfzExERkeFN9OXjjnFIqlBsVdKedhmSb32O9h7j58d+yY6unQMSdoDuQoptna/yi+O/4lT29OgHUHKLrwtOsT0DH/DmYWLvguLxvsJ0F7d/ywR9153mYQuYyUSXY/h97MPJUtYNowmgNdLCbVNvITxCP9bWcCu3TLlJPX1FREREqoiSdhlSZ76L35x8nK7CpfeUn82d44lTT9KV7xrdAMzQxTAueQoXnVM8BoQwdZ+B0GrgouU9zjSIfQATez82/0rQv1tqzOUs8Q4z6FqZ4EJOiEXJhbxn2ruYG5+Lawb+/RJunJUNK3jP9HcxRZVhRURERKqKlsdPEtbmwfYSzDqGg1Zaw461HEgfoCPfWdL3Pp45wcnMKepD9ZeOwe8haMPmgIldcv+4CS3FZn4FFEuKASLgXTHguWz2KchvhdAKTOxeiL0fioewNo9xmsCdhS0cwPb+NPjZhFZDjbX7mvRMPChSN6i7wCWElgb922tMyAkxPzmPtuhUuvJdnMiepOAXiLtxpsemkXAT2scuIiIiUoWUtNc466eC6uq556F4FCiCqYPwDeDOHLLidqqQYnd3KdW237KjayczYzMG7eWxtgB+BxQOYPNbgr3nuEExsdCaoPq3M8T+H9MajCmp6jdBouVcsA/XdvT15PYh/yo2/yo4M4IxxsUW34TsU1xYXd7mt4A7bWC/d5nYnCYIXVd60m7qMKGVGFO7i5DiXpy4F2dabNp4hyIiIiIiJVDSXsNs8Qw28zPIvUSwt/eCY/mtQW/r2L1Yb8GAWe+iLdKR6yjruTpyHeTtwH3A1s9CYRe298fB3vELFXZhs49DeD1ENwQz3xcwbiNE7sIWD/etELgEU4eJbBi4J93v7LtBcAH/WPA1nOJRsNlgdlZqgjEOhFcH1/uIBekMRN4JpnEMIhMRERERKU3tTidNcrZ4Dtvzfcg9x8UJe7/iQWz6H6GwP+hnff5cwJZZvMvvO6v/e9hCkJinHxycsPcP6oXsb7C9P8f6QyzF9xZh4v8xWBkwHNOEiX8MvPmDIiqfT/lFy6TaGXdKcB25Cy4xyoPo72MiN2Ic9SEVERERkeqhmfYaZK0fzCwWtpcwuAvb+xNM8j+BCWa7HeOQcOPk/GGS/SEk3DjOhcW7/A5s74+AzMgn5zYHy9vD1wx42DgRbGgVpm46NvdysD/d7wgOOi0QugYTvgqcKYOXtJs6gsu7jCrgphGM9vTWIuPNgsR9UNiLzT17wVaROHjLMJF14LRhVNNARERERKqMkvZa5HdA7oXSxxcPQPFU/57whBtnfnI+7e0vl/wtrqxbNLCvY2E/+CdLPt9mnwHvSowzsJidMaGg93q0LdiH3z+D7oLTOPzeY6cBvIVQ2F1iBA4mfEPwfFKTjNsCbktwg8iebwXnBNsrnMh4hyciIiIiMiQtj69F/lkoHirnBGzuxWBJO+A5HkvrFo/Y0/m8pJdkXmJuf0E766eDom7lKOwBPzXsYWNcjNsSLHV2p2Dc5ksWCzNOAya8HjDDjhnAuxKc1vJilgnJOA1919BUjNuqhF1EREREqpqS9lpkh09+hz+nu2/2MdAUbuLm1psG9XO+WNgJc9uUW6jzLtx3nr9kAj60AhdWch8VoSUQfsfI45ypmNh7g+J3IiIiIiIiVUTL42vS5fyzenDBnvSQE2Jx3SJCjsfW9pc4nT0zYLTBMC3axnXN1zI7PgvP8QYc5RI92Ic3uq3WjFMPsXdhnSTkng5WIAwQgtASTPQPwJ01qs8tIiIiIiIyGpS01yK3FUwCbLrkU4y3aFARtogbYXHdlcyMzeB09gz7Uvsp2AJhJ8yVyYU0hZtIeslBfd4xCXDnBUveS+W0VaTVmnEaIPpOCF8Lhdexhb2AD6YRE14b9Km/aB+9iIiIiIhItVDSXotMI4RW9rV7K3X80sHJN0El+fpQPfWheuYn5uFbH9e4Q47t/3bGg/C12OyTlLzkPbwGnMbSxpbJmDC4U4Ov8DqgCIQu+XcQERERERGpBtrTXoOME8NEbrl0f/MLRW4JEvcROMbBc7zSkl2nCcLXl/b8TismfF2Q7FeYMS7GhJWwi4iIiIjIhKCkvVa5czDxj4yQuBuIbMBEbhr1CtrGSWKi74bQdZce6LRi4n8MzrRRfX4REREREZFaoOXxNcqYEDa0EpP8VNADPb8NbHvf0b4CbOH14C3EOCXOyJcbg9sM8XshvxybexYKewmWpgPOVAivwYSvA2faJdu3iYiIiIiITFZK2muYMR54c4NZ7OgdfYXpikAcnLqKJesDYnAaIXIDhJaC3w1kAC8oVuc0Ykyo4jGIiIiIiIhMVEraJ4Fg6fvUcY6hAZyGcY1BRERERERkotGaZBEREREREZEqpaRdREREREREpEopaRcRERERERGpUkraRURERERERKqUknYRERERERGRKqWkXURERERERKRKKWkXERERERERqVJK2kVERERERESqlJJ2ERERERERkSqlpF1ERERERESkSilpFxEREREREalSStpFREREREREqpSSdhEREREREZEqpaRdREREREREpEopaRcRERERERGpUkraRURERERERKqUknYRERERERGRKqWkXURERERERKRKKWkXERERERERqVLeeAdQDay1AHR1dY1zJCIiIiIiIjIZnM8/z+ejw1HSDnR3dwMwe/bscY5EREREREREJpPu7m4aGhqGPW7sSGn9JOD7PseOHaOurg5jzHiHU7W6urqYPXs2hw8fpr6+frzDkUlM16JUC12LUg10HUq10LUo1WAiXYfWWrq7u5kxYwaOM/zOdc20A47jMGvWrPEOY8Kor6+v+l8AmRx0LUq10LUo1UDXoVQLXYtSDSbKdXipGfbzVIhOREREREREpEopaRcRERERERGpUkrapWSRSIQvfelLRCKR8Q5FJjldi1ItdC1KNdB1KNVC16JUg1q8DlWITkRERERERKRKaaZdREREREREpEopaRcRERERERGpUkraRURERERERKqUknYRERERERGRKqWkXQa5//77ufbaa6mrq2Pq1Kncc8897NmzZ8CYTCbDxo0baWlpIZlMcu+993Ly5Mlxilhq0Te+8Q1WrVpFfX099fX1rFu3jl/96lf9x3UNynj5yle+gjGGz372s/2P6XqUsfA//+f/xBgz4GvJkiX9x3Udylg5evQoH/3oR2lpaSEWi7Fy5Uq2bNnSf9xay1/91V8xffp0YrEYGzZsYO/eveMYsdSiefPmDXpNNMawceNGoLZeE5W0yyCbNm1i48aNPPfcczz22GPk83nuvPNO0ul0/5jPfe5z/OxnP+Phhx9m06ZNHDt2jPe9733jGLXUmlmzZvGVr3yFrVu3smXLFm6//Xb+8A//kB07dgC6BmV8vPjii3zrW99i1apVAx7X9ShjZfny5Rw/frz/a/Pmzf3HdB3KWGhvb2f9+vWEQiF+9atfsXPnTv7u7/6Opqam/jH/63/9L7761a/yzW9+k+eff55EIsFdd91FJpMZx8il1rz44osDXg8fe+wxAD7wgQ8ANfaaaEVGcOrUKQvYTZs2WWut7ejosKFQyD788MP9Y3bt2mUB++yzz45XmDIJNDU12X/8x3/UNSjjoru72y5atMg+9thj9tZbb7Wf+cxnrLV6TZSx86UvfcleddVVQx7TdShj5Qtf+IK96aabhj3u+76dNm2a/du//dv+xzo6OmwkErHf+973xiJEmaQ+85nP2AULFljf92vuNVEz7TKizs5OAJqbmwHYunUr+XyeDRs29I9ZsmQJc+bM4dlnnx2XGKW2FYtFvv/975NOp1m3bp2uQRkXGzdu5O677x5w3YFeE2Vs7d27lxkzZnDFFVfwkY98hEOHDgG6DmXs/Pu//zvXXHMNH/jAB5g6dSqrV6/mH/7hH/qPHzhwgBMnTgy4FhsaGrj++ut1LUrF5HI5/uVf/oWPf/zjGGNq7jVRSbtcku/7fPazn2X9+vWsWLECgBMnThAOh2lsbBwwtq2tjRMnToxDlFKrtm/fTjKZJBKJ8J//83/mxz/+McuWLdM1KGPu+9//Pi+99BL333//oGO6HmWsXH/99XznO9/hkUce4Rvf+AYHDhzg5ptvpru7W9ehjJn9+/fzjW98g0WLFvHoo4/y53/+53z605/mu9/9LkD/9dbW1jbgPF2LUkk/+clP6Ojo4E/+5E+A2ntv9sY7AKluGzdu5LXXXhuwZ05krCxevJhXXnmFzs5OfvjDH/Kxj32MTZs2jXdYMskcPnyYz3zmMzz22GNEo9HxDkcmsXe/+939/79q1Squv/565s6dyw9+8ANisdg4RiaTie/7XHPNNfzN3/wNAKtXr+a1117jm9/8Jh/72MfGOTqZrB544AHe/e53M2PGjPEOpSI00y7D+uQnP8nPf/5znnjiCWbNmtX/+LRp08jlcnR0dAwYf/LkSaZNmzbGUUotC4fDLFy4kLVr13L//fdz1VVX8b//9//WNShjauvWrZw6dYo1a9bgeR6e57Fp0ya++tWv4nkebW1tuh5lXDQ2NnLllVfyxhtv6HVRxsz06dNZtmzZgMeWLl3av1Xj/PV2cZVuXYtSKQcPHuQ3v/kNn/jEJ/ofq7XXRCXtMoi1lk9+8pP8+Mc/5re//S3z588fcHzt2rWEQiEef/zx/sf27NnDoUOHWLdu3ViHK5OI7/tks1ldgzKm7rjjDrZv384rr7zS/3XNNdfwkY98pP//dT3KeEilUuzbt4/p06frdVHGzPr16we1An799deZO3cuAPPnz2fatGkDrsWuri6ef/55XYtSEQ8++CBTp07l7rvv7n+s1l4TtTxeBtm4cSMPPfQQP/3pT6mrq+vf99HQ0EAsFqOhoYH77ruPz3/+8zQ3N1NfX8+nPvUp1q1bxw033DDO0Uut+OIXv8i73/1u5syZQ3d3Nw899BBPPvkkjz76qK5BGVN1dXX9NT3OSyQStLS09D+u61HGwn/9r/+V3//932fu3LkcO3aML33pS7iuy4c//GG9LsqY+dznPseNN97I3/zN3/DBD36QF154gW9/+9t8+9vfBsAYw2c/+1m+/OUvs2jRIubPn89f/uVfMmPGDO65557xDV5qju/7PPjgg3zsYx/D895KbWvuNXG8y9dL9QGG/HrwwQf7x/T29tr/8l/+i21qarLxeNy+973vtcePHx+/oKXmfPzjH7dz58614XDYTpkyxd5xxx3217/+df9xXYMyni5s+WatrkcZGx/60Ifs9OnTbTgctjNnzrQf+tCH7BtvvNF/XNehjJWf/exndsWKFTYSidglS5bYb3/72wOO+75v//Iv/9K2tbXZSCRi77jjDrtnz55xilZq2aOPPmqBIa+vWnpNNNZaO473DERERERERERkGNrTLiIiIiIiIlKllLSLiIiIiIiIVCkl7SIiIiIiIiJVSkm7iIiIiIiISJVS0i4iIiIiIiJSpZS0i4iIiIiIiFQpJe0iIiIiIiIiVUpJu4iIiIiIiEiVUtIuIiIiIiIiUqWUtIuIiMggzz77LK7rcvfdd493KCIiIpOasdba8Q5CREREqssnPvEJkskkDzzwAHv27GHGjBnjHZKIiMikpJl2ERERGSCVSvFv//Zv/Pmf/zl333033/nOdwYc//d//3cWLVpENBrlHe94B9/97ncxxtDR0dE/ZvPmzdx8883EYjFmz57Npz/9adLp9Nj+RURERGqAknYREREZ4Ac/+AFLlixh8eLFfPSjH+Wf/umfOL8w78CBA7z//e/nnnvuYdu2bfzZn/0Z//2///cB5+/bt493vetd3Hvvvbz66qv827/9G5s3b+aTn/zkePx1REREJjQtjxcREZEB1q9fzwc/+EE+85nPUCgUmD59Og8//DC33XYb/+2//Td+8YtfsH379v7x/+N//A/++q//mvb2dhobG/nEJz6B67p861vf6h+zefNmbr31VtLpNNFodDz+WiIiIhOSZtpFRESk3549e3jhhRf48Ic/DIDneXzoQx/igQce6D9+7bXXDjjnuuuuG/Dnbdu28Z3vfIdkMtn/ddddd+H7PgcOHBibv4iIiEiN8MY7ABEREakeDzzwAIVCYUDhOWstkUiE//N//k9J3yOVSvFnf/ZnfPrTnx50bM6cOaMWq4iIyGSgpF1EREQAKBQK/PM//zN/93d/x5133jng2D333MP3vvc9Fi9ezC9/+csBx1588cUBf16zZg07d+5k4cKFFY9ZRESk1mlPu4iIiADwk5/8hA996EOcOnWKhoaGAce+8IUv8Nvf/pYf/OAHLF68mM997nPcd999vPLKK/zFX/wFR44coaOjg4aGBl599VVuuOEGPv7xj/OJT3yCRCLBzp07eeyxx0qerRcREZGA9rSLiIgIECyN37Bhw6CEHeDee+9ly5YtdHd388Mf/pAf/ehHrFq1im984xv91eMjkQgAq1atYtOmTbz++uvcfPPNrF69mr/6q79Sr3cREZHLoJl2EREReVv++q//mm9+85scPnx4vEMRERGpOdrTLiIiImX5+te/zrXXXktLSwtPP/00f/u3f6se7CIiIhWipF1ERETKsnfvXr785S9z7tw55syZw1/8xV/wxS9+cbzDEhERqUlaHi8iIiIiIiJSpVSITkRERERERKRKKWkXERERERERqVJK2kVERERERESqlJJ2ERERERERkSqlpF1ERERERESkSilpFxEREREREalSStpFREREREREqpSSdhEREREREZEq9f8DJAJY2BxFkfYAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "HyhdlRzcuc3d"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "kpB4QRpvuZ-h"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Save the results to a CSV file"
      ],
      "metadata": {
        "id": "Q1loyqPhuLev"
      },
      "execution_count": 90,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "output_file_path = '/content/Mall_Customers_Clustered.csv'  # Define the path for the CSV file"
      ],
      "metadata": {
        "id": "NODX5p00uSVB"
      },
      "execution_count": 91,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df.to_csv(output_file_path, index=False)  # Save the DataFrame to a CSV file without the index"
      ],
      "metadata": {
        "id": "zke-6Y5ttiXu"
      },
      "execution_count": 92,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "Pu4XoUF4tinQ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "f-eOi2olsgao"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Close the PDF file"
      ],
      "metadata": {
        "id": "MhQPdECTsgco"
      },
      "execution_count": 93,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "pdf_pages.close()  # Close the PdfPages object to finalize the PDF file"
      ],
      "metadata": {
        "id": "QZHkVwafsgnO"
      },
      "execution_count": 94,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "Fz_AccHxsaX4"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "pSc94JFqaVDi"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "MYrtMc80vp03"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# <span style=\"color: #FF4500;\">**Conclusions**</span>\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**Summary of Findings**</span>\n",
        "1. **Dataset Overview**:\n",
        "   - The dataset was successfully loaded and inspected, revealing key information about missing values, duplicates, and summary statistics.\n",
        "   - Data was cleaned by handling missing values and duplicates, ensuring data quality for analysis.\n",
        "\n",
        "2. **Exploratory Data Analysis (EDA)**:\n",
        "   - Various visualizations, including box plots, pie charts, violin plots, histograms, and heatmaps, provided insights into the distributions and relationships between features.\n",
        "   - The EDA highlighted important trends and patterns, such as differences in Age, Annual Income, and Spending Score across genders.\n",
        "\n",
        "3. **Data Preprocessing**:\n",
        "   - The Gender column was encoded, and features were scaled to prepare for clustering.\n",
        "   - Data preprocessing steps, including normalization and feature selection, were crucial for effective clustering.\n",
        "\n",
        "4. **Clustering (K-Means)**:\n",
        "   - The Elbow Method was used to determine the optimal number of clusters, guiding the choice of `k = 5`.\n",
        "   - K-Means clustering was applied, and the silhouette score indicated the quality of clustering.\n",
        "   - Clustering results were visualized through scatter plots, showcasing the segmentation of customers into distinct groups.\n",
        "\n",
        "5. **Visualization of Results**:\n",
        "   - Detailed visualizations were saved and reviewed, including the Elbow Method plot and cluster scatter plot.\n",
        "   - These visualizations provided a clear understanding of the clustering performance and customer segmentation.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**Key Insights**</span>\n",
        "- **Cluster Characteristics**: Each cluster represents a unique group of customers with specific characteristics. Understanding these clusters can inform targeted marketing strategies and customer segmentation.\n",
        "- **Data Interpretation**: Visualizations and clustering results offer valuable insights into customer behavior, helping to tailor services and products to different segments.\n",
        "- **Next Steps**: Further analysis can explore the implications of clustering results, such as developing marketing strategies based on cluster profiles or investigating additional features for more refined segmentation.\n",
        "\n",
        "## <span style=\"color: #32CD32;\">**Recommendations**</span>\n",
        "- **Refinement**: Consider refining the clustering approach by experimenting with different algorithms or additional features.\n",
        "- **Application**: Use clustering results to inform business decisions, such as personalized marketing campaigns or product development strategies.\n",
        "- **Documentation**: Continue to document and review visualizations and findings to support ongoing analysis and decision-making processes."
      ],
      "metadata": {
        "id": "qx0mKWV5vqFD"
      }
    }
  ]
}