{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "p2r5o8SR4rqH" }, "source": [ "# Mobile Market " ] }, { "cell_type": "markdown", "metadata": { "id": "3SntBY974rqJ" }, "source": [ "## Problem Statement" ] }, { "cell_type": "markdown", "metadata": { "id": "RA_GXJwuhmVz" }, "source": [ "### Objective\n", "\n", "Mobile Market is a retailer leveraging machine learning to profit in the growing secondary market for mobile devices. Our goal is to analyze their supplied data and lend insights—such as factors that influence price—through a linear model.\n", "\n", "Data from 2021 contains the following features:\n", "\n", "- brand_name\n", "- os: operating system\n", "- screen_size: screen size in cm diag.\n", "- 4g: 4G capability\n", "- 5g: 5G capability\n", "- main_camera_mp: Resolution of the rear camera in megapixels\n", "- selfie_camera_mp: Resolution of the front camera in megapixels\n", "- int_memory: internal memory (ROM) in GB\n", "- ram: RAM in GB\n", "- battery: battery capacity (mAh)\n", "- weight: device weight (grams)\n", "- release_year\n", "- days_used: Number of days the used/refurbished device has been used\n", "- normalized_new_price: Normalized price of a new device of the same model in euros\n", "- normalized_used_price: Normalized price of the used/refurbished device in euros" ] }, { "cell_type": "markdown", "metadata": { "id": "v_-uuGqH-qTt" }, "source": [ "## Importing necessary libraries" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "zeF8YaNKDPyK" }, "outputs": [], "source": [ "# math and data\n", "import numpy as np\n", "import scipy.stats as stats\n", "import pandas as pd\n", "\n", "# visualization\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "# to split the data set\n", "from sklearn.model_selection import train_test_split\n", "\n", "# to build the linear model\n", "import statsmodels\n", "import statsmodels.api as sm" ] }, { "cell_type": "markdown", "metadata": { "id": "xxhpZv9y-qTw" }, "source": [ "## Loading the dataset" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "ZJwX9wuc4rqL" }, "outputs": [], "source": [ "phone=pd.read_csv('dataset.csv')" ] }, { "cell_type": "code", "source": [ "phone_copy=phone.copy()" ], "metadata": { "id": "nXL-SiCqwyeL" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "UvpMDcaaMKtI" }, "source": [ "## Data Overview" ] }, { "cell_type": "code", "source": [ "phone.shape" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "K_qc1Nvsmqw7", "outputId": "667ae586-1761-4ea3-b8ce-dd113b81c72b" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "(3454, 15)" ] }, "metadata": {}, "execution_count": 4 } ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "01hJQ7EfMKtK", "colab": { "base_uri": "https://localhost:8080/", "height": 206 }, "outputId": "c6c89b7d-dcdf-4ba1-b3c2-94dc71f646f2" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " brand_name os screen_size 4g 5g main_camera_mp \\\n", "0 Honor Android 14.50 yes no 13.0 \n", "1 Honor Android 17.30 yes yes 13.0 \n", "2 Honor Android 16.69 yes yes 13.0 \n", "3 Honor Android 25.50 yes yes 13.0 \n", "4 Honor Android 15.32 yes no 13.0 \n", "\n", " selfie_camera_mp int_memory ram battery weight release_year \\\n", "0 5.0 64.0 3.0 3020.0 146.0 2020 \n", "1 16.0 128.0 8.0 4300.0 213.0 2020 \n", "2 8.0 128.0 8.0 4200.0 213.0 2020 \n", "3 8.0 64.0 6.0 7250.0 480.0 2020 \n", "4 8.0 64.0 3.0 5000.0 185.0 2020 \n", "\n", " days_used normalized_used_price normalized_new_price \n", "0 127 4.307572 4.715100 \n", "1 325 5.162097 5.519018 \n", "2 162 5.111084 5.884631 \n", "3 345 5.135387 5.630961 \n", "4 293 4.389995 4.947837 " ], "text/html": [ "\n", "
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brand_nameosscreen_size4g5gmain_camera_mpselfie_camera_mpint_memoryrambatteryweightrelease_yeardays_usednormalized_used_pricenormalized_new_price
0HonorAndroid14.50yesno13.05.064.03.03020.0146.020201274.3075724.715100
1HonorAndroid17.30yesyes13.016.0128.08.04300.0213.020203255.1620975.519018
2HonorAndroid16.69yesyes13.08.0128.08.04200.0213.020201625.1110845.884631
3HonorAndroid25.50yesyes13.08.064.06.07250.0480.020203455.1353875.630961
4HonorAndroid15.32yesno13.08.064.03.05000.0185.020202934.3899954.947837
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\n", " " ] }, "metadata": {}, "execution_count": 5 } ], "source": [ "phone.head()" ] }, { "cell_type": "markdown", "source": [ "This is a sizable data set: 15 columns with over 3400 entries! I'm curious whether OS will end up being a significant factor, as I'd guess brand would be more important. Additionally, the normalized prices both seem shockingly low. I'll need to follow up with the histogram or boxplot later." ], "metadata": { "id": "BiF-hOsQovw9" } }, { "cell_type": "code", "source": [ "phone.info()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ofDjxEaTmqtO", "outputId": "1a77832b-5b16-484e-8c19-ed8e87c3ae8e" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "\n", "RangeIndex: 3454 entries, 0 to 3453\n", "Data columns (total 15 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 brand_name 3454 non-null object \n", " 1 os 3454 non-null object \n", " 2 screen_size 3454 non-null float64\n", " 3 4g 3454 non-null object \n", " 4 5g 3454 non-null object \n", " 5 main_camera_mp 3275 non-null float64\n", " 6 selfie_camera_mp 3452 non-null float64\n", " 7 int_memory 3450 non-null float64\n", " 8 ram 3450 non-null float64\n", " 9 battery 3448 non-null float64\n", " 10 weight 3447 non-null float64\n", " 11 release_year 3454 non-null int64 \n", " 12 days_used 3454 non-null int64 \n", " 13 normalized_used_price 3454 non-null float64\n", " 14 normalized_new_price 3454 non-null float64\n", "dtypes: float64(9), int64(2), object(4)\n", "memory usage: 404.9+ KB\n" ] } ] }, { "cell_type": "markdown", "source": [ "A first inspection shows the data types all appear to be correct. From the head, we can see that 4g and 5g are recorded as 'yes' or 'no', so it follows that these columns would be objects." ], "metadata": { "id": "hmy7of8GpY87" } }, { "cell_type": "code", "source": [ "phone.isnull().sum()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "n_MZ3k0Opt2_", "outputId": "a9cbc8c4-8e28-43e4-b332-3ce83906f072" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "brand_name 0\n", "os 0\n", "screen_size 0\n", "4g 0\n", "5g 0\n", "main_camera_mp 179\n", "selfie_camera_mp 2\n", "int_memory 4\n", "ram 4\n", "battery 6\n", "weight 7\n", "release_year 0\n", "days_used 0\n", "normalized_used_price 0\n", "normalized_new_price 0\n", "dtype: int64" ] }, "metadata": {}, "execution_count": 7 } ] }, { "cell_type": "markdown", "source": [ "We do have some null entries, most notably in the main_camera_mp column, with 179 null entries. That being said, it does only make up around 5% of the data. The other columns with null entries are: selfie_camera_mp, int_memory, ram, battery, and weight.\n", "\n", "There is a possibility that brand_name or os have missing data as '?' or 'unknown', so let's check for that too." ], "metadata": { "id": "NL2-5AEFp5VB" } }, { "cell_type": "code", "source": [ "phone['brand_name'].value_counts()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "NuigTvZssHeQ", "outputId": "4b4ef005-6352-4869-8231-9df04dded7eb" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Others 502\n", "Samsung 341\n", "Huawei 251\n", "LG 201\n", "Lenovo 171\n", "ZTE 140\n", "Xiaomi 132\n", "Oppo 129\n", "Asus 122\n", "Alcatel 121\n", "Micromax 117\n", "Vivo 117\n", "Honor 116\n", "HTC 110\n", "Nokia 106\n", "Motorola 106\n", "Sony 86\n", "Meizu 62\n", "Gionee 56\n", "Acer 51\n", "XOLO 49\n", "Panasonic 47\n", "Realme 41\n", "Apple 39\n", "Lava 36\n", "Celkon 33\n", "Spice 30\n", "Karbonn 29\n", "Coolpad 22\n", "BlackBerry 22\n", "Microsoft 22\n", "OnePlus 22\n", "Google 15\n", "Infinix 10\n", "Name: brand_name, dtype: int64" ] }, "metadata": {}, "execution_count": 8 } ] }, { "cell_type": "markdown", "source": [ "There's a catchall 'Others' group. This is missing data and may mess up our model; there is presumably more than one brand categorized as other. We will review this during the model tuning." ], "metadata": { "id": "e8tnf4Spu1SX" } }, { "cell_type": "code", "source": [ "phone['os'].value_counts()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "4TKvYwqgsHTJ", "outputId": "06dc3585-4b09-47e7-cb67-b9349342aad6" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Android 3214\n", "Others 137\n", "Windows 67\n", "iOS 36\n", "Name: os, dtype: int64" ] }, "metadata": {}, "execution_count": 9 } ] }, { "cell_type": "markdown", "source": [ "There is also an 'Others' label here. Again, we may need to remove these to create a powerful model." ], "metadata": { "id": "LpLCz2t4wYls" } }, { "cell_type": "code", "source": [ "phone.duplicated().sum()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "27IhuYQRxIje", "outputId": "f303c157-ceea-4edf-ff35-93a3fe6566d1" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "0" ] }, "metadata": {}, "execution_count": 10 } ] }, { "cell_type": "markdown", "source": [ "There are no duplicate rows." ], "metadata": { "id": "e8ioYgkRxTXc" } }, { "cell_type": "markdown", "metadata": { "id": "__7ciGcIDPyk" }, "source": [ "## Exploratory Data Analysis (EDA)" ] }, { "cell_type": "code", "source": [ "phone.describe().T" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 394 }, "id": "4tF1A56mHKpY", "outputId": "41bb8d2e-e5f3-4643-db52-1a2b2a3a6e17" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " count mean std min \\\n", "screen_size 3454.0 13.713115 3.805280 5.080000 \n", "main_camera_mp 3275.0 9.460208 4.815461 0.080000 \n", "selfie_camera_mp 3452.0 6.554229 6.970372 0.000000 \n", "int_memory 3450.0 54.573099 84.972371 0.010000 \n", "ram 3450.0 4.036122 1.365105 0.020000 \n", "battery 3448.0 3133.402697 1299.682844 500.000000 \n", "weight 3447.0 182.751871 88.413228 69.000000 \n", "release_year 3454.0 2015.965258 2.298455 2013.000000 \n", "days_used 3454.0 674.869716 248.580166 91.000000 \n", "normalized_used_price 3454.0 4.364712 0.588914 1.536867 \n", "normalized_new_price 3454.0 5.233107 0.683637 2.901422 \n", "\n", " 25% 50% 75% max \n", "screen_size 12.700000 12.830000 15.340000 30.710000 \n", "main_camera_mp 5.000000 8.000000 13.000000 48.000000 \n", "selfie_camera_mp 2.000000 5.000000 8.000000 32.000000 \n", "int_memory 16.000000 32.000000 64.000000 1024.000000 \n", "ram 4.000000 4.000000 4.000000 12.000000 \n", "battery 2100.000000 3000.000000 4000.000000 9720.000000 \n", "weight 142.000000 160.000000 185.000000 855.000000 \n", "release_year 2014.000000 2015.500000 2018.000000 2020.000000 \n", "days_used 533.500000 690.500000 868.750000 1094.000000 \n", "normalized_used_price 4.033931 4.405133 4.755700 6.619433 \n", "normalized_new_price 4.790342 5.245892 5.673718 7.847841 " ], "text/html": [ "\n", "
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selfie_camera_mp3452.06.5542296.9703720.0000002.0000005.0000008.00000032.000000
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\n", " " ] }, "metadata": {}, "execution_count": 11 } ] }, { "cell_type": "markdown", "source": [ "Let's start with some highlights of the statistical summary.\n", "* Mean screen size is 13.7cm, or about 5.4in.\n", "* The median resolution of the main camera is 8MP, although the largest one avaiable has 48MP!\n", "* The resolution of the selfie camera is generally lower than that of the main camera.\n", "* The middle 50% of the data for internal memory falls between 16GB and 64GB.\n", "* While device weight is generally less than 200g, the max observation is 855g, indicating the strong possibility of at least one outlier.\n", "* Days used is highly variable.\n", "* Both used price and new price are lower than I would expect, although new price is predictably higher than used.\n", "\n" ], "metadata": { "id": "GaaZ8HWIjh94" } }, { "cell_type": "code", "source": [ "phone.describe(include='object').T" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 175 }, "id": "hS-PmNyZjlI3", "outputId": "52a4f4a2-0f8e-4d38-84fe-92b75f502294" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " count unique top freq\n", "brand_name 3454 34 Others 502\n", "os 3454 4 Android 3214\n", "4g 3454 2 yes 2335\n", "5g 3454 2 no 3302" ], "text/html": [ "\n", "
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countuniquetopfreq
brand_name345434Others502
os34544Android3214
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\n", " " ] }, "metadata": {}, "execution_count": 12 } ] }, { "cell_type": "markdown", "source": [ "For the non-numeric columns, there are 34 brands, though the catchall 'Other' category is most common. Android is the OS with the overwhelming majority of devices on Mobile Market, and 4G connectivity is far more common than 5G." ], "metadata": { "id": "VplaphKvledm" } }, { "cell_type": "code", "source": [ "sns.set_theme()" ], "metadata": { "id": "tDOKBKjY4FCU" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "We'll start with a first glance at each of our columns." ], "metadata": { "id": "Ms-ARR5AEBWV" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Countplot of Phone Brands',fontsize=16)\n", "sns.countplot(data=phone,\n", " x='brand_name',\n", " order=phone['brand_name'].value_counts().index)\n", "plt.xticks(rotation=90)\n", "plt.xlabel('Brand Name');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 407 }, "id": "XOULScHExu-I", "outputId": "3ad8a1e3-d19b-4dee-94ac-35175adf0624" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Aside from the 'Others' designation, Samsung is the most common brand in the Mobile Market system, followed by Huawei, LG, and Lenovo. OnePlus, Google, and Infinix are the least common brands." ], "metadata": { "id": "dnprf4w7EGdL" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Countplot of Phone OS',fontsize=16)\n", "sns.countplot(data=phone,\n", " x='os',\n", " order=phone['os'].value_counts().index)\n", "plt.xlabel('Operating System');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "C-n0plCUxu6d", "outputId": "dffef9ec-1d33-4e08-efb1-da0da12fb6b7" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "phone['os'].value_counts(normalize=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ZjaGXLVZE85t", "outputId": "9a9a84a9-b4ee-459d-b4e6-ca353b5c66b1" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Android 0.930515\n", "Others 0.039664\n", "Windows 0.019398\n", "iOS 0.010423\n", "Name: os, dtype: float64" ] }, "metadata": {}, "execution_count": 16 } ] }, { "cell_type": "markdown", "source": [ "Android is far and away the most popular phone OS in the Mobile Market system. It is installed on 93% of the phones." ], "metadata": { "id": "Fk_0GpCmE8rY" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Histogram of Screen Size',fontsize=16)\n", "sns.histplot(data=phone,x='screen_size',bins=12)\n", "plt.xlabel('Screen Size (cm on the diagonal)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "t5QLhnkfFz-P", "outputId": "a8e9d5c5-5ff7-4463-8ee1-3455a5951389" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The most common sceen size is around 12.5cm on the diagonal (about 5in). It looks like the most popular screen sizes fall between 10cm and 18cm. There are some devices on Mobile Market with screens greater than 20cm; there are roughly as many of these as there are devices with screens less than 10cm." ], "metadata": { "id": "bvfMj_HsGkBQ" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(10,5))\n", "\n", "# 4g\n", "plt.subplot(1,2,1)\n", "plt.title('4G Capable?')\n", "sns.countplot(data=phone,x='4g',order=('yes','no'))\n", "\n", "# 5g\n", "plt.subplot(1,2,2)\n", "plt.title('5G Capable?')\n", "sns.countplot(data=phone,x='5g',order=('yes','no'))\n", "\n", "plt.tight_layout()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "cybEPAG86Cbf", "outputId": "3be9624b-00f5-4ed6-e084-4a801aa068b1" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "While roughly two-thirds of phones on Mobile Market have 4G capability, very few have 5G." ], "metadata": { "id": "SentdBXXnIrV" } }, { "cell_type": "code", "source": [ "# import numeric data type check from pandas\n", "from pandas.api.types import is_numeric_dtype\n", "\n", "def hist_box(df,col,*,kde=False):\n", " '''Plot a histogram and boxplot \n", " of numeric column in data frame.\n", " Optional KDE boolean.'''\n", "\n", " # include only numeric cols\n", " if is_numeric_dtype(df[col])==False:\n", " raise TypeError('Column must be numeric.')\n", " \n", " # figure setup\n", " plt.figure(figsize=(12,5))\n", "\n", " # histogram\n", " plt.subplot(1,2,1)\n", " plt.title('Histogram of '+str(col),fontsize=14)\n", " sns.histplot(data=df,x=col,kde=kde)\n", "\n", " # boxplot\n", " plt.subplot(1,2,2)\n", " plt.title('Boxplot of '+str(col),fontsize=14)\n", " sns.boxplot(data=df,x=col)\n", "\n", " # display figure\n", " plt.tight_layout()\n", " return" ], "metadata": { "id": "86PPEv4h2GRz" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "hist_box(phone,'main_camera_mp')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "95wJj1yHFkdl", "outputId": "2bca67b7-2c52-4eb0-ee0d-1fa7462a5b39" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The distribution of main camera resolution is sporatic, but 75% of the data is concentrated below 15MP." ], "metadata": { "id": "AJLCaq4yon54" } }, { "cell_type": "code", "source": [ "hist_box(phone,'selfie_camera_mp')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "FtuDY1cgpZqv", "outputId": "ef9f9008-7427-4465-f52d-372d589ac5f2" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The histogram of selfie camera resolution would lead one to believe these observations are more spread out than those for the main camera, but the boxplot shows that the data is still concentrated on the lower end. There are just more outliers in these observations that skew the data." ], "metadata": { "id": "4vpp4GwippoL" } }, { "cell_type": "code", "source": [ "hist_box(phone,'int_memory')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "VOW3m4rWqGH5", "outputId": "2f59fcfa-e82a-4022-c549-a0b32e3a1036" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Internal memory is heavily skewed by outliers, so let's visualize the data without the outliers." ], "metadata": { "id": "kSlgXKQtyHbB" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Internal Memory (Outliers Removed)',fontsize=16)\n", "sns.boxplot(data=phone,x='int_memory',showfliers=False)\n", "plt.xlabel('Memory (GB)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "cjh1JHojwCxK", "outputId": "5842522c-53a1-46ea-f5ea-28a6f11a3d38" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Now we can see that almost all phones on Mobile Market have between 0 and 130GB of internal storage. The data is still looks right-skewed, as the lower 50% is narrower than the upper 50%. However most memory comes in powers of 2, so we can see that the 25, 50, and 75 quartiles are 16GB, 32GB, and 64GB respectively. In other words, internal memory data is not continuous, so the skewed appearance of the data is likely misleading." ], "metadata": { "id": "7qQJSB6Dy1nD" } }, { "cell_type": "code", "source": [ "two_powers=[float(2**i) for i in range(12)]\n", "mem_counts=phone['int_memory'].value_counts(normalize=True)\n", "percent=0\n", "for idx in mem_counts.index:\n", " if idx in two_powers:\n", " percent+=mem_counts[idx]\n", "print(percent)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "m2jKbM8B0Uzk", "outputId": "b58af9a8-fbd3-4c04-bc4a-0861dbe449c7" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "0.9875362318840579\n" ] } ] }, { "cell_type": "markdown", "source": [ "In fact, a quick calculation shows that almost all (98.75%) internal memory comes as a power of 2." ], "metadata": { "id": "FR2YOJw71zKe" } }, { "cell_type": "code", "source": [ "hist_box(phone,'ram')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "2GFc5mBJ27Mp", "outputId": "5fb0bb13-4579-4b33-f92c-e3f8aba3a69a" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "phone['ram'].value_counts(normalize=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "i-8FvpPk27KY", "outputId": "2ca0da5d-97e2-4c8a-e70e-de576d778b5e" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "4.00 0.815942\n", "6.00 0.044638\n", "8.00 0.037681\n", "2.00 0.026087\n", "0.25 0.024058\n", "3.00 0.023478\n", "1.00 0.009855\n", "12.00 0.005217\n", "0.02 0.005217\n", "0.03 0.004928\n", "0.50 0.002609\n", "1.50 0.000290\n", "Name: ram, dtype: float64" ] }, "metadata": {}, "execution_count": 26 } ] }, { "cell_type": "markdown", "source": [ "We find that 81.6% of phones on Mobile Market have 4GB of RAM. Other common options are 2GB, 6GB, and 8GB." ], "metadata": { "id": "eheryve23QdS" } }, { "cell_type": "code", "source": [ "hist_box(phone,'battery',kde=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "_2hljRG-3QG0", "outputId": "ab157101-64f0-48fa-fddf-a11f760ce84d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The battery data is concentrated between roughly 1500mAh and 5000mAh, with three peaks in between. Battery capacity is right skewed with many outliers." ], "metadata": { "id": "jNrGjPqu4V-l" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Battery Capacity (Outliers Removed)',fontsize=16)\n", "sns.boxplot(data=phone,x='battery',showfliers=False)\n", "plt.xlabel('Capacity (mAh)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "Xv0vkbmM27Hm", "outputId": "332b0a0d-5868-4807-bede-0c867038779d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Without the outliers, battery capacity looks more evenly distributed. The median capacity is around 3000mAh, with the middle 50% concentrated between 2000mAh and 4000mAh." ], "metadata": { "id": "a5yyPIyc5V-i" } }, { "cell_type": "code", "source": [ "hist_box(phone,'weight')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "DRUiMKZe67N2", "outputId": "af03c2d7-9689-4e44-9b63-6c9118758c8b" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Device Weight (Outliers Removed)',fontsize=16)\n", "sns.boxplot(data=phone,x='weight',showfliers=False)\n", "plt.xlabel('Weight (g)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "NxZ_HtX370QU", "outputId": "fe61919a-4ec4-43e5-ab20-be213edfffd3" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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atdD6vb29FRQUJEkKCQlRuXLl9Morr2j+/Pnq27evvZ/Dhw93ep3vyuC5Vt7e3jp06FC+8rzt5vLw7dixo1577TUdP35c27dvV1ZWljp27Gifntfm999/P1+YXz69UqVKSk9PV1ZWlkM/CrvRKi0tTRUrVjTsHYoT4XmLWbdunTZt2qSePXvavxvYsmVLrV+/Xl5eXg5f6XCmSZMm8vPz04oVK5SRkaHq1avbw6ggLVq00Ny5c7V//36nZ6BeXl4KCwvT/v37NWrUqKsGpTN5bXjnnXdkWZbDGU5oaKhef/11ffXVVypTpoz9IHo99TZq1EjLli3T3r177cNolmVp/fr1xm3P4+7urosXLxZp3rxgTEpKUuPGjR3aFRoaqvj4eLVt2zbfHbdTp05Vamqq+vTpYy+rXr26zp49q5SUFPvZ9NGjR3Xo0CGFhIQ4tE/SNZ2RtGzZUvHx8bpw4UKx3IRSt25dDRs2TIsWLdKBAweM39+5c2d98skneu+999StWzfVrVtX1atX14EDB27oV1ciIiK0du1affvttwoNDbWXr169Wr6+vg5f82rXrp0mTJigVatWaevWrQoLC3P4Q7ZFixZycXHRiRMn1KJFiwLrDAkJUU5OjtavX+8wVPvll186nT85OVmXLl3ie54ljPAsQT/99JPOnTunrKwsnThxQps3b9batWvVokULDR8+3D5fhw4dtGzZMvXu3VvPPvus6tevr8zMTCUlJWnTpk2aPXu2PWhdXFzUoUMHLV68WNnZ2erVq9dVv3/Xu3dvrV69Wr1799aAAQNks9l07tw5bdy4UX/72990zz33KDY2Vt27d1efPn301FNPqVKlSjp37pz27dunnJycqz6hp169evL19dXXX3+tgIAAlS1b1j6tYcOG8vLy0tdff60mTZo4/PV9rfV27txZ8fHxev755/Xiiy/a77ZNT0+3f06m6tWrp08//VRr1qxRjRo1VLZs2QKHXqtVq6bq1avrP//5T76z5ri4OPXs2VN/+ctf1LdvXwUGBio9PV0rVqzQ+vXrNWTIEIcAi46O1vTp0/XSSy+pd+/eOnfunN555518Z515B/YFCxaoc+fOcnNzk7+/f76hY2eaNGmi9u3ba8iQIerdu7eCg4Pl4uKi48ePa8uWLRoxYkShB+vz58+rd+/e6tChg+rWravSpUtr48aNSktLKzQ4ClKqVCkNGTJE/fv318KFC/Xss89q7NixGjhwoLKystSuXTtVrFhRZ86c0e7du1WtWjU988wzxvVcqXPnzvr44481ePBgvfjii6pSpYpWrVqlHTt2aPz48Q53P99zzz1q3bq1FixYoOTk5Hx3x9asWVP9+vXThAkTdOjQIUVERMjDw0MnT57Ujh071KVLFzVt2lQtWrRQaGioxowZo3Pnztnvti3oj47vv/9ekhweOoKbj/AsQXlfY/Dw8JCvr68aNmyoN998U9HR0Q6BV7p0ab333nt65513tHjxYh07dkxeXl6qUaOGHn744XxDVp06dbJ/T/BqQ7bSH9eHFi5cqGnTpik+Pl6pqany9fVV06ZN7QfegIAAff7555o1a5YmTpyo8+fPy8fHRw0bNtTTTz9dpP6GhYVp3bp1+c6EXV1dFRISoh07duQ7IFxrve7u7nr//fc1YcIEjR07Vl5eXmrfvr2Cg4M1depUlStXrkhtvly/fv106NAhjR49Wr/99psiIiI0f/78Audv166d1q5dq1dffdWhvHr16lq6dKni4+O1ePFivfXWW/L09FRQUJDeeecdtWrVymH+WrVqacaMGZo2bZoGDRqk2rVrKzY2Vm+//bbDfPXr19fgwYO1ePFiLVmyRLm5udq4cWORn9ATFxen+fPna+nSpZo3b57c3d1VvXp1RUZGFnitOE/eZYYlS5boxIkTKlWqlOrUqaM33nhDjz76aJHqv9LDDz+skJAQvf/+++ratatatWqlTz75RPPmzdOrr76qjIwMVapUSQ8++KAee+yxa6rjSl5eXpo/f77i4uL0xhtv6OLFi6pTp46mTJnidF/q1KmT1qxZIw8PD0VHR+ebPmzYMNWtW1effvqpPv30U5UqVUp+fn5q1qyZateubZ8vb/ueOnWqXF1dFRUVpddee02DBg3Kt8zNmzcrICDA4QEruPlKWSa3xAG3uf79++vgwYPasGHDDa/r6NGjio6O1scff3zVoXOgKC5duqTIyEiNHDlSXbp0Kenm3NU488Qd64MPPpCXl5dq1aqlixcvau3atdq8efNNe6xZzZo19eSTTyo+Pp7wRLFYtGiRfHx81Llz55Juyl2P8MQdy93dXR9++KFOnjypnJwc1alTRxMnTrypf7EPHTpUixcv1u+//+7wcHjgWri7u2vSpElyc+PQXdIYtgUAwBBPGAIAwBDhCQCAIcITAABDV73qfO7cReXmFv2yqK/vPTp79sJ1Nep2Q5/vDndbn++2/kr0+W5wtf66uJRSxYplC5ye56rhmZtrGYVn3nvuNvT57nC39flu669En+8GxdFfhm0BADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADLmVdAOAG+HTTz9WUtKRYl1m6dKuysrKKdZl5klLS5UkeXtXuCHLvxY3sr95atSopa5de97QOoAbgfDEHSkp6Yh+PvCLXD1vnTAqTE7GH+GZnJ5dwi25efL6DNyOCE/csVw9K8irVuuSbkaR/HZkoyTdNu0tDnl9Bm5HXPMEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQzctPHfs2KodO7berOoAAHe4kswVt5tV0fbtWyRJLVo8dLOqBADcwUoyVxi2BQDAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhtxuVkVpaalKS0vT5MkTblaVN03p0q7Kysop6WbcVLd6n48ePaLcHNeSbgYKkZudoaNHj9xSx4Rbfbu+EW7nPh89ekTe3t4lUjdnngAAGLppZ57e3hXk7V1BL7/82s2q8qapVKmckpPPl3Qzbqpbvc+TJ0/QL0lnSroZKISLm6dq1rj3ljom3Orb9Y1wO/e5JEctOPMEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAy53ayKIiNb3ayqAAB3gZLMlZsWni1aPHSzqgIA3AVKMlcYtgUAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIcITAABDbiXdAOBGyclI1W9HNpZ0M4okJyNVkm6b9haHP/p8b0k3A7gmhCfuSDVq1Cr2ZZYu7aqsrJxiX64kpaX9sSt6e1e4Icu/Fjeyv3+494asJ+BmIDxxR+ratWexL7NSpXJKTj5f7Mu9Vd1t/QVMcM0TAABDhCcAAIYITwAADBGeAAAYIjwBADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJwAAhghPAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAwRngAAGCI8AQAwRHgCAGCI8AQAwBDhCQCAIberzeDiUsp4odfyntsdfb473G19vtv6K9Hnu0Fh/S3qZ1HKsiyruBoEAMDdgGFbAAAMEZ4AABgiPAEAMER4AgBgiPAEAMAQ4QkAgCHCEwAAQ4QnAACGCE8AAAxd9fF8BTl27JgGDRpkf33+/HlduHBBu3btUlRUlNzd3eXh4SFJGjFihFq2bHn9rS0BkydP1rp163T8+HGtWrVKNptNknTo0CHFxsYqNTVVFSpU0OTJk1W7du2rTrsdOOvzuXPnNHLkSB09elTu7u6qVauWxo8fLx8fH0mSv7+/bDabXFz++HtsypQp8vf3L8luFFlB67iw7XjPnj0aM2aMLl26pOrVqysuLk6+vr4l1gdTzvpc2D4tFf553OoK234LW5e383ouqM9paWkaM2aMkpOT5ebmpqCgII0dO1aenp46duyY2rRpowceeMC+nA8//FAVK1YswZ4UXWHrubBj1KZNmzRlyhTl5OQoICBAr7/+usqUKVN4ZVYxmThxovW3v/3NsizLeuSRR6yff/65uBZdohISEqwTJ07k61OPHj2sL774wrIsy/riiy+sHj16FGna7cBZn8+dO2ft3LnTPs+kSZOsV155xf7aZrNZFy5cuOltLQ4FreOCtuOcnBzr0UcftRISEizLsqzZs2dbsbGxN629xaGgPl/u8n3asm7v/bqg7bewdXm7r+eC+pyUlGT9+OOPlmX90cehQ4das2bNsizLspKSkqyIiIgSaW9xKOw4VdAx6sKFC1bz5s2tQ4cOWZZlWaNGjbJmzpx51bqKZdg2MzNTq1at0p///OfiWNwtJSwsTFWrVnUoO3v2rPbt26f27dtLktq3b699+/YpJSWl0Gm3C2d9rlChgpo0aWJ/3ahRI504ceJmN+2GcNbfwvzwww/y8PBQWFiYJCkmJkZr1669Uc27Ia7W5zttny5o+y1sXd7u67mgPt93331q2LChJMnFxUXBwcF3zL58LceprVu3KjAw0D46GBMTo6+++uqqdV3zsO3lNm3apCpVqiggIMBeNmLECFmWpdDQUA0bNkzly5cvjqpuCSdPnlSVKlXk6uoqSXJ1dVXlypV18uRJWZZV4LS8Ic7bXW5urhYuXKioqCiH8h49eignJ0cPPfSQBg8eLHd39xJqYfFxth2fPHlS1apVs8/j4+Oj3Nxc+zD9ncDZPi3dGfv15dtvYevyTlrPBe2zGRkZWrp0qYYNG2Yvu3jxop588klJ0mOPPbPEWQIAAAieSURBVKY+ffqoVKnb71dXnPXZ2THqyvVcrVo1nTx58qrLL5Yzz6VLlzr8hbpgwQKtXLlSS5culWVZGj9+fHFUg1vEhAkT5OXlpe7du9vLNm/erGXLlmnBggX65ZdfNHv27BJsYfG4m7fjK/dp6c75PJxtv3c6Z33Ozs7Wiy++qKZNm6p169aSpMqVK2vLli1atmyZ4uPjtX79en3++ecl1ezrcmWfi/sYdd3heerUKSUkJKhDhw72srzhIHd3d3Xt2lXffffd9VZzS6latapOnTqlnJwcSVJOTo5Onz6tqlWrFjrtTjB58mQdOXJE06ZNs194l/5/nd9zzz3q0qXLHbHOC9qOq1at6jAUlJKSIhcXl9vubKQgzvZp6c7Yr6/cfgtbl3fKena2z+bk5GjEiBHy9vbWq6++ap/X3d3dfkOUr6+vOnTocEesZ6ngY9SV6/nEiRNFOl5fd3guX75crVq1st+N9dtvv+n8+fOSJMuytGbNGjVo0OB6q7ml+Pr6qkGDBlq9erUkafXq1WrQoIF8fHwKnXa7e/PNN/XDDz9o9uzZDkOyaWlpysjIkPTHX7Pr1q277dd5YdtxYGCgMjIylJiYKElatGiRoqOjS6ytxe3KfVq6M/ZrZ9tvYevyTljPzvqcm5ur2NhYubq66u9//7vDkOzZs2eVlZUlSfr999+1adMm1a9fv0Tafq2c9bmwY1TLli31n//8R4cPH5b0x3pu167dVeu57h/Dbtu2rUaPHq2HHnpIkpSUlKTBgwcrJydHubm5qlevnl599VVVrlz5eqopMRMnTtT69et15swZVaxYURUqVNCXX36pgwcPKjY2Vunp6SpfvrwmT56sunXrSlKh024Hzvo8bdo0tW/fXrVr15anp6ck6b777tPs2bO1e/dujRkzRqVKlVJ2drZCQkI0atQolS1btoR7UjTO+jtv3rxCt+PvvvtOY8eOdfgKw7333lvCPSm6grZrKf8+Ld3++/WBAwcK3H4LW5e383ouqM9dunRR//79Hb620bhxY40dO1br16/XjBkz5OLiouzsbD388MMaPny4/R6OW11Bfe7bt2+hx6gNGzYoLi5Oubm5atCggSZNmiQvL69C67ru8AQA4G7DE4YAADBEeAIAYIjwBADAEOEJAIAhwhMAAEOEJ3ATrFy5Us8++2yR5l22bJmefvrp664zJiZG+/btK9K8Tz31lA4cOHDddQJ3C8ITKMDbb7+tvn37OpS1adPGaVnedyQL0rFjR73//vvF0q4ePXpoyZIlhc6zadMmlS1b1v4A8Kt59tlnNWPGjOJoHnBXIDyBAoSFhWn37t32Ry2ePn1a2dnZ+umnnxzKjhw5Yv/ljVvFokWL1KlTpyLP37p1a33zzTdKTk6+ga0C7hyEJ1CAoKAge1hKUmJiopo0aaI6deo4lNWsWVNVqlTR+fPnNWrUKEVGRqply5Z666237CF75VDs9u3b1bZtW4WGhmrcuHHq3r17vrPJyZMnKzw8XFFRUdqyZYsk6a233lJiYqLGjx+vkJAQpw9nz8zM1M6dOxUREWEvy8jI0Msvv6zw8HC1a9dO8fHxDk8Q8vDwUEBAgLZv315Mnx5wZyM8gQK4u7srODjY/mzTxMREhYaGKjQ01KEs76wzNjZWbm5uWr9+vb744gvt2LHD6fBqSkqKhgwZouHDh+ubb75RnTp1tHv3bod59u7dqzp16mjnzp3q27evRo8eLcuy9OKLLyosLExjxoyxPxbxSkeOHJGLi4v8/PzsZbNmzdLx48e1YcMGffDBB1q5cmW+99WrV0/79++/9g8MuIsQnkAhIiIilJCQIOn/gzI0NNShLCIiQmfOnNGWLVs0atQoeXl5ydfXV71793Z6LXTr1q164IEH1KZNG7m5ualnz575npdarVo1/c///I9cXV3VuXNnJScn68yZM0Vqc3p6er7nCn/11Vfq37+/vL295efnp549e+Z7X9myZZWenl6kOoC7XbH8GDZwpwoLC9OCBQuUmpqqlJQU1a5dW/fee69iY2OVmpqqAwcOKCwsTCdOnFB2drYiIyPt783NzXX600anT592OCssVaqUw2tJDmFapkwZSX/8sklReHt76+LFi/nqvLwtV9Yn/fEjyLfjj1sDJYHwBAoREhKiCxcu6LPPPlPjxo0l/fF7gJUrV9Znn32mypUrq0aNGvLw8JC7u7t27twpN7fCd6tKlSrp1KlT9teWZenXX38ttjbXrFlTlmXp1KlTqlKlir3OX3/9Vffff78kOa3v4MGD6tixY7G1A7iTMWwLFMLT01OBgYH68MMPHe6oDQ0NdSirXLmyWrRooUmTJunChQvKzc3V0aNHtWvXrnzLbNWqlX7++Wdt2LBB2dnZWrBgQZGHZKU/zkqTkpIKnO7u7q5mzZo51N2uXTu9/fbbSktL06lTp/TJJ584vOfSpUv68ccf1bx58yK3A7ibEZ7AVYSHh+vs2bMKDQ21l4WGhurs2bMKDw+3l02ZMkVZWVl67LHHFB4eriFDhjj96oePj4+mT5+uuLg4NWnSRL/88osCAwNVunTpIrWnZ8+eWrduncLDwzVx4kSn88TExGjFihX214MGDZKfn59at26t3r17q23btg4/aL5p0yZFRETYz1QBFI7f8wRKWG5urh566CG98cYbatq0abEtNyYmRmPGjHH6oIRPP/1Ua9assZ+BdunSRX//+99ls9mKrX7gTsY1T6AEbNu2TQ8++KA8PT317rvvSpIaNWpUrHUsWrTI/v/Tp08rKSlJISEhOnz4sD744AN169bNPv1qTywC4IjwBErAnj17NGLECGVmZur+++/X7Nmz5enpecPqy8rK0tixY3Xs2DGVK1dOjz/+uLp27XrD6gPudAzbAgBgiBuGAAAwRHgCAGCI8AQAwBDhCQCAIcITAABDhCcAAIb+D49eicevDIR3AAAAAElFTkSuQmCC\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "While device weight is generally concentrated between 75g and 250g, there are too many outliers to throw them all away. In particular, there's a real possibility these outliers will have an effect on our model. " ], "metadata": { "id": "zGSd2K1g7voF" } }, { "cell_type": "code", "source": [ "phone['release_year'].unique()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "WXk6RqJf67LA", "outputId": "1623d51c-750d-4144-81ae-78ef3e17da2a" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([2020, 2019, 2013, 2014, 2016, 2018, 2015, 2017])" ] }, "metadata": {}, "execution_count": 31 } ] }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Device Release Year',fontsize=16)\n", "sns.countplot(data=phone,x='release_year')\n", "plt.xlabel('Year');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "qZpvUpMv9fpV", "outputId": "e4e70388-d148-4146-e5d8-bacc8dccb43e" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The most common release year is 2014, followed by 2013 and 2015. There's a dip in popularity after 2015, with 2019 being the exception." ], "metadata": { "id": "3gHCUbS09pf9" } }, { "cell_type": "code", "source": [ "hist_box(phone,'days_used')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "Q-zNxiQ1-qN1", "outputId": "50573034-532d-495c-fc37-21e12b924046" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Days used is fairly evenly distributed, with a vague peak around 600 days." ], "metadata": { "id": "-SnMEUao_EsB" } }, { "cell_type": "code", "source": [ "hist_box(phone,'normalized_new_price',kde=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "BhFvz7juEuoA", "outputId": "c0e1fc9c-59aa-4b12-ee66-e711cb8ef3f0" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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yj7Ozc5PdzJKTk/GHP/yhwXacPHlS7TLqeHp6qqzfzc1Nue6SkhLk5OSgX79+Ksv07dsXZ86cUZnWWHtos63nz5/Hrl27kJSUhOLiYigUCshkMuTm5sLd3V3j7Tp58iS2bNmC3bt3o1u3bgCAmzdvory8HE899ZTKvJWVlcpuDklJSRgxYoRKeWhoKL799luN191UmxYUFCArKwsrVqzAypUrlfPU9k0HABsbGwQFBeHixYtwcnJCcXExXnrpJWzduhU5OTm4cOECQkNDYW5urlE87u7u8PT0VL4OCQmBVCpFUlISfHx8AABPPPFEk/XdunULUqkUTz75ZKPlN2/exOXLlxEWFtagLC0tDX369NEoViJ9qnusefjwIfbv349Zs2bhm2++gYeHB5KSkhAQEKBy72BYWBikUikSExPh7e0NMzMzfPTRR5gwYQKcnJzwz3/+s8F6QkJCVO7rDAsLw6ZNm1BSUtLgvsSkpCRIpVKEhoYqp9nZ2cHf3x+JiYkt2r7mjnEtuSfS3Nwcvr6+ytdubm6QyWR4+PAhHBwcND4ONXZs8PDwUNlHOjs7w8fHR2UfVP/YcPPmTWzduhW3b99GUVGRcnpmZiY6d+6s8XbFxcXh7bffxvvvv69s85s3b0IIgWeeeUZl3qqqKuU+LykpqdH3tSWaa9ObN28iNjYWn376qXIehUKBiooK5Obmws3NDQMGDMDFixcxatQoxMXFYcuWLThw4ADi4uKQmJiIbt26adweUqlUZd/s5eUFNzc3JCYmYtCgQQBqjh8uLi5q60hKSkJVVVWD42qtmzdv4v79++jbt6/K9PLy8gbdHUl3mFB1UFZWVvD29laZ1tR9MwAQFBSEEydO4OzZszh//jwiIyPRs2dP7N27t8mkSlesrKxUXv/73//GBx98gMjISISFhcHW1hb79u1Tud8IQIMbZCUSCczMzBpME1qMoKPNwAzarrv+uuq3B9Dybc3IyMDcuXPxxz/+EYsWLYKDgwNu3bqFJUuWtGigizt37mDp0qWIiorCwIEDldMVCgVcXFywb9++BsvocvCFprax9p6AlStXNnkwHjhwIC5cuAAnJyf0798fNjY2CAkJwYULF3Dx4kUMHTpUZ/ECgLW19WMtr1AoMGzYMERGRjYoc3Z2fqy6iXSl/rEmKCgI/fv3x1dffYW//vWvTS5bd593/fp1KBQKFBcXo6CgQG836BtzsJ3G9t8AmrwXrO58tRo7NjS2j2xsWu26ysrK8Oc//xmDBg3C2rVr4eTkhMLCQrz00kstOjZkZ2fjlVdewcyZMzFx4kTldCEEJBIJvv322wbbbWlpqXH9zWmuTRUKBRYuXKhyn1St2tEYBw4ciM8++wzXrl2Dt7c3XFxclMeLxMRElWOeJpr7jOni2NCzZ098/PHHDcrs7e0fq25Sj4NSUIvY2tpi/PjxWLlyJXbt2oXffvsNqampAGp22NXV1Srz+/r64urVqyrTrly5gs6dO8PW1ha+vr5QKBS4efOmsvzBgwfIyclpNpYrV64gJCQE06ZNQ1BQELy9vZGWlqaDrWxI3XboeuhfW1tbuLm54cqVKyrTr169qpdhhm/cuAGZTIa33noLYWFh6N69u0ZtX1dBQQHmzZuHP/7xj5g8ebJKWVBQEPLy8iCVSuHt7a3yr/ZHv5+fH2JiYlSWq//6cbi4uMDNzQ1paWkNYqj7Q2/gwIG4evUqfv31V+UBcuDAgTh16hTi4uJadNDMzs5GVlaW8nVsbCwUCkWL3sNevXpBoVDgt99+a7Q8KCgIiYmJ8PT0bLBNHCmQWiuJRAKJRKIclMLPzw937txBSUmJcp5r166pfF/S09OxevVqREVFYdCgQXjjjTcgl8tV6o2JiVE5MXX9+nW4ubk1+l3w8/ODQqHA9evXldNKSkpw584d5TobO541prljnC4Z6jgE1Fx5KywsVA5s4Ofn1+JnD1ZWVmLBggUICwvD4sWLVcp69eoFIQRyc3Mb7L9qe0bUHhvqv6+6FBgYiOTk5EaPDbXJ2MCBA5GSkoLo6GiVY8OFCxdw6dKlFh0bFAoFYmNjla8zMzORk5PTovfQ19cX5ubmOH/+fKPlQUFBSEtLg6OjY4NtcnBw0Hg91DJMqEhje/fuxZEjR5CUlITU1FRER0fD1tZWeanby8sLV65cQXZ2tnLHO2vWLFy6dAlbtmzBvXv3cPjwYezZswezZ88GULNjGDJkCFasWIHr168jPj4eb731FiwtLZs9i+Pj44ObN2/i9OnTSElJwbZt23Dp0iW9bPvs2bNx+PBh7Nu3DykpKfjiiy8QHR2t3A5d+vOf/4w9e/bgyJEjuHfvHjZt2oTLly/r5fle3t7eUCgU+Oc//4n09HQcOXKk0e40TVm0aBHc3d3x8ssvIzc3V/mvuroagwYNQt++ffHKK6/g9OnTSE9Px7Vr17B582ZcvnwZQM1IUOfOncPOnTuRkpKCr7/+Gj///LNOt3PRokX49NNP8dlnnyE5ORl37tzBwYMHVZ7F1q9fP8hkMvz8888IDw8HUHPQPHr0KExNTVvUhc7S0hKRkZGIj4/HtWvX8Le//Q3Dhw9XdvfTRPfu3fH000/j3XffxbFjx5Ceno7Lly/j4MGDAICpU6eiuLgYr732GmJiYpCeno5z585h+fLlKj9OiYypqqpKuU9ISkrC6tWrUVZWpuzmO3HiROX3JSEhAZcuXUJUVBTGjh0Lb29vVFdX480338SAAQMwZcoUvPfee8jKysLWrVtV1pOTk4P3338fycnJOHr0KHbv3o2ZM2c2GpOPjw9GjRqFqKgoXL58GQkJCVi6dClsbW2VV1G8vLxQWVmJX3/9FQUFBSgvL2+0ruaOcbpkyOOQp6cnzM3NsW/fPqSnp+PUqVPYtGlTi+qIiopCcXEx3njjDeTl5Sk/B1VVVejevTsmTpyIt956C0ePHkV6ejri4uKwe/duHD9+HAAwZcoUZGRkqLyvBw4c0Ol2LliwAEeOHMGmTZtw584dJCUl4ejRo1i7dq1yHj8/P7i6uuLw4cMqx4aLFy/iwYMHymmaMDU1xQcffIBr164hPj4ekZGR6NGjh7K7nyZsbW0xY8YMbNiwAd999x3S0tIQGxuLL7/8EkDNd8rZ2RmvvPIKLl68iPT0dFy6dAl///vfOdKfHrHLH2nMxsYGu3fvRkpKCiQSCQIDA/GPf/xD2b1g0aJFiIqKwujRo1FVVYWEhAQEBQVh06ZN2LJlC3bu3AlnZ2fMmTMH06ZNU9b797//HcuXL8f06dPh7OyMRYsWIT09vdn7VV588UXEx8dj6dKlEEJg7NixePnll/H999/rfNtHjx6Nd999F3v27MEHH3wAT09PrFixAiNHjtT5umbMmIHS0lKsW7cO+fn56N69O7Zs2YKePXvqfF09e/bEO++8g3/84x/YuHEjwsLC8Oabb+K1117TuI7aJDYiIkJleu0Donft2oWNGzdi+fLlKCgogLOzM/r27Yvf//73AGrul3r//fexZcsWbNu2DQMHDsSrr77a4B6/xzF58mRYWVlh9+7d+Oijj2BpaYkePXqofA5r76NKTk5GYGCgMrbaey00vX8KqPkx9swzz2DevHkoLCzE4MGD8f7777c47rVr12Ljxo147733UFhYiM6dOyt/JLq7u2P//v3YsGEDZs+ejcrKSnh4eGDIkCEtipVIn86dO4chQ4YAqPmO+fr6YtOmTcofobXfyw8++ACTJ0+GhYUFRo0apRyGeseOHUhLS0N0dDQAwNHREWvWrMGcOXMwZMgQ9O/fH0DNj0iFQoE//vGPkEgkeOGFF9QmVADw4Ycf4oMPPsD8+fNRWVmJvn374tNPP1V2N+vbty+mTJmCJUuWoKioCAsXLsSrr77aoB5NjnG6YsjjkJOTE9asWYMNGzZg3759yseBtCR5u3TpEjIyMjB69GiV6Z9//rlymPYdO3Zg3bp1yM7Ohr29PXr37q38bHh6emLr1q348MMP8dVXXyEoKAivv/463njjDZ1t59ChQ7Fz505s374de/bsgYmJCXx8fPD888+rzDdgwAD89NNPyqtRXbp0gbu7O0xMTFp0P5m5uTnmzZuHyMhIZGZmIjQ0FFu3bm1xV9PXX38d9vb22L59O7Kzs+Hs7Kw8plpZWWHfvn346KOPsHjxYhQXF8PNzQ3h4eF8lpUeSYQ2N44Q6VFBQYHymQrjxo0zdjhELbJlyxYcO3YMR44cMXYoRB3C9OnT8cQTTyAqKsrYoRCp9f3332P16tW4du2asUMhPeAVKjK68+fPo7S0FAEBAcjPz8fHH38MBwcHnQ8CQERERESka0yoyOjkcjk2bdqE9PR0WFpaIjQ0FPv27XvskW6ofXjmmWeQmZnZaNnKlSsxadKkVhUPERHp3+zZsxsM4FRr7ty5mDdvXquKp7HHwVD7wS5/RNSqZWRkNBjRq5azs7PBR7RrbfEQEXVE2dnZytEi67O3tzf4iHatLR4yLCZUREREREREWuKw6URERERERFpiQkVERERERKSldj8oRWFhKRQK/fRqdHa2RX4+H6CpDttHPbZN09g+6rFtmqaufaRSCRwdbVpcnz6PIQDfz+awfdRj2zSN7aMe20Y9bY8h7T6hUiiEXg+G+qy7PWD7qMe2aRrbRz22TdN02T76PobUroPUY/uox7ZpGttHPbaNetq0Dbv8ERERERERaYkJFRERERERkZaYUBEREREREWmJCRUREREREZGWmFARERERERFpiQkVERERERGRlphQERERERERaYkJFRERERERkZaYUBEREREREWmJCRUREREREZGWTI0dAFFHYmpmAlm1QGFxBYS08fMZZiYSyGXVBo6MiIiIiLTBhIrIgGTVAodOJ8LGxgKlpZWNzvPssB6QGDguIiIiItIOu/wRERERERFpiQkVERERERGRlphQERERERERaYkJFRERERERkZaYUBEREREREWmJo/wRdTC1Q7erw2HbiYiIiDTHhIqog6kdul0dDttOREREpDkmVERtDK8wEREREbUeTKiI2hheYSIiIiJqPTgoBRERERERkZaYUBEREREREWmJCRUREREREZGWeA8VERERkYF9+eXnSE9P1Xp5MzMTyB5zAKKHD4sAAPb2Do9Vjza6dvXG1KkzDL5eIn1gQkVERERkYOnpqUi4mwgTS8MnM7WqK2oSqtxHcqOsl6i9YEJFREREZAQmlg6w9h5ltPWXpZ4AAIPHULteovaC91ARERERERFpiQkVERERERGRlphQERERERERaYkJFRERERERkZaYUBEREREREWmJCRUREREREZGWmFARERERERFpiQkVERERERGRlgzyYN/CwkK8+eabSEtLg7m5Oby9vbFq1So4OTkhICAA/v7+kEprcru1a9ciICAAAHDy5EmsXbsW1dXVCAoKwocffggrKytDhExERERERNQsg1yhkkgkmD17No4dO4bo6Gh07doV69evV5YfOHAAhw4dwqFDh5TJVGlpKZYvX44dO3bg559/ho2NDXbv3m2IcImIiIiIiDRikITKwcEB4eHhytehoaHIzMxscpkzZ84gODgYPj4+AIApU6bgp59+0meYRERERERELWKQLn91KRQK7N+/HyNHjlROmz59OqqrqxEREYFXX30V5ubmyMrKgqenp3IeT09PZGVlGTpcIiIiIiIitQyeUK1evRrW1taYNm0aAODUqVPw8PBASUkJ3njjDWzbtg2vvfaaztbn7Gyrs7oa4+pqp9f62zq2j6rC4grY2FgAgPL/+szMTeBoZ6NRHcZY3lD42VGPbdM0tg8RERmSQROqNWvWIDU1FTt27FAOQuHh4QEAsLW1xeTJk7F3717l9AsXLiiXzczMVM7bEvn5JVAohA6ib8jV1Q65ucV6qbs9YPs0JKRSlJZWwsbGAqWllY3OI6uqbrLdautQR9/LGwI/O+qxbZqmrn2kUoneT7AREVHHZLBh0zds2IAbN25g27ZtMDc3BwA8fPgQFRUVAAC5XI5jx46hV69eAIChQ4ciLi4OKSkpAGoGrnj66acNFS4REREREVGzDHKF6u7du9i5cyd8fHwwZcoUAECXLl0we/ZsRGAc9ZEAACAASURBVEVFQSKRQC6XIywsDIsXLwZQc8Vq1apVmDt3LhQKBXr16oV33nnHEOESERERERFpxCAJ1RNPPIGEhIRGy6Kjo9UuN3r0aIwePVpfYRERERERET0Wg3X5IyIiIiIiam+YUBEREREREWmJCRUREREREZGWmFARERERERFpiQkVERERERGRlphQERERERERaYkJFRERERERkZYM8hwqInp8xWVVuHY3DzFJ+Ui6X4QquQIWZiawtTZDZ0cruDtaw9SU50iIiIiIDIkJFVErV1Iuw0+/peLElfuokivg4mAFKwtT2NtKUSlTILeoHBm5pTAzkaK7hx3GVMhhY87EioiIiMgQmFARtWKxSfnY8+94FJdW4ckgd4wd0A1dPTrh8Jkk5TxCCBQ8qkRS5iPcuf8Q7+48h6lj/NE/wBUSicSI0RMRERG1f0yoiFohhRD44UwyfjyfCi9XG7w2OQTene0AAKJekiSRSOBsbwlne0sUlVQiNbsEnxy8gd6+zpg21h+uDlbG2AQiIiKiDoEJFVErI5MrsCf6Ji7G5yAixBMvjXkCZqYmGi3rYGuBaU/3wslL6fjhTDKW776A5yP8MLpfF0ilvFpFREREpGtMqIhaEYVC4JPvYxGTmIfJw/0wPrxbi7vtmUilGDugK/oHuOLzYwk4cOIuLsZn4+Wne8LL1VZPkRMRERF1TLxznaiVUAiBywm5iEnMw/TxPTF+UHfAxARCKlX5p2l+5dTJEotf6IM5EwORU1iOv+29hB/OJKNKVq3fDSEiIiLqQHiFiqgVEELgRnIBHhSUYcpYfzwsrsCh04mNzjtpeA+N65VIJHgyqDMCuzvhwH/uIvpcCi7EZ8PXww5ujta6Cp+IiIiow+IVKqJWIDnrEVIeFMPPqxNGD+im8/o7WZtjzqQgLJ0SColEgt9u5eDy7RyUV8p1vi4iIiKijoQJFZGR5T2swM17hejsZI1Ab0e9rivQxwkrZz+JgG4OeFBQhpNXM3Av6xGEEHpdLxEREVF7xYSKyIgqquS4kpALWytT9H3CxSDPjTIzlSKgqwNGhHnBqZMF4pILcOVOLuTVCr2vm4iIiKi9YUJFZCRCCFy7mwd5tQL9A9xgamrYr6ONlRmeDHRHL29HZOaV4dyNB5DJmVQRERERtQQTKiIjuZdVjNyiCgT5OKKTjblRYpBIJHiiiz0G9HTDw9Iq/HYrm/dVEREREbUAEyoiHTI1azjMeWNDnj8qrcKt1EK4OVrBu7OdcYMG4OFsjf4BrigqqcSe6Ju8p4qIiIhIQxw2nUiHZNVC7XDnQM2Q50IIXLyVDROpBKE9nA1y35QmPJxt0Mtbjqt3cvGfy/cxZkBXtfOamplAVq0+6TIzkUDO510RERFRB8CEisjAUrNLkFtUjtAezrA0b11fQT/PTjA3N8XX/y8Rvbwd0cXNttH5mkscnx3WA60jTSQiIiLSL3b5IzKghyWVuJVSADdHa3RVk6wYk0Qiwcu/6wVLcxN8+Z877PpHRERE1AwmVEQG9MOpJFQrBAYEurearn712Vqb4/lhfridVoTLCbnGDoeIiIioVWNCRWQgRSWV+DUmE74enYw2qp+mhoV4opubLb4+eZfPpyIiIiJqAhMqIgMQQuDGvQLYWpvBv6uDscNpllQqwQvD/ZD/qBLnbzwwdjhERERErRYTKiIDyMwvQ8GjSvx+mB/MDPwAX20FdXdCN3db/HQhDQoF76UiIiIiakzb+GVH1IZVVytwK6UAnWzMMDTUy9jhaEwikeB3T3rjQUEZrt7hvVREREREjWFCRaRnSZmPUF5ZjeDuTpBKW+dAFOr0D3CDm6MVjl1KM3YoRERERK0SEyoiPaqSVSMx4yE6O1nDxd7K2OG0mFQqwfBQLyRlPEJGbomxwyEiIiJqdZhQEenR3YyHkFcL9PJu/QNRqDOod2eYSCX4JTbL2KEQERERtTpMqIj0pKJSjntZxejiagM769Y9THpTOlmbI8zfFeduPIBMziHUiYiIiOpiQkWkJ3fuP4QQAgHd2u7VqVoRIR4oKZfh2l0OTkFERERUFxMqIj0orZAhNbsY3u52sLE0M3Y4jy3QxwmOdhb47Wa2sUMhIiIialWYUBHpQUJaESQSCfy72Bs7FJ2QSiQY0NMNccn5KKuQGTscIiIiolaDCRWRjhWXVeF+bim6d7aDpYWpscPRmQG93FCtELh2N8/YoRCRHv366xn8+usZY4dBRDrC77T+MaEi0rE79x/CRCpBj3ZydaqWr0cnOHeyxMX4HGOHQkR6dPbsaZw9e9rYYRCRjvA7rX9MqIh0KLugDBm5pfDxsIOFmYmxw9EpiUSCAb3ccCulACXl7PZHREREBBgooSosLMRf/vIXjBs3DhMnTsTChQtRUFAAALh+/TomTZqEcePGYdasWcjPz1cu11QZUWv047l7MJFK4OfZvq5O1RrQs6bb33WO9kdEREQEwEAJlUQiwezZs3Hs2DFER0eja9euWL9+PRQKBd544w1ERUXh2LFj6N+/P9avXw8ATZYRtUa5ReU4H/cA3u62sDRvX1enavl0toODrTlimFARERERATBQQuXg4IDw8HDl69DQUGRmZuLGjRuwsLBA//79AQBTpkzB0aNHAaDJMqLW6N+/pUIqBfy82ufVKaDm5EhoDxfcTC5AtYIP+SUiIiIy+BBkCoUC+/fvx8iRI5GVlQVPT09lmZOTExQKBYqKiposc3DQ/EGpzs62Oo2/PldXO73W39Z1lPbJKSzDr3FZiAjrAhcna7XzSSUS2NhYAIDy/6bm0abczNwEjnY2assLiysea/lh/bvh1PVMlFQq4OlipVUdmugonx1tsG2axvYhIiJDMnhCtXr1alhbW2PatGn4+eef9b6+/PwSKBRCL3W7utohN7dYL3W3Bx2pffYdT4AQwPhwb5y9fl/tfAohUFpaCRsbC5SWVjY5T3N1qCOrqm6y3YVU+ljLezpYwNxMitTMh7C3anwX0lwdzelIn52WYts0TV37SKUSvZ9gIyKijsmgo/ytWbMGqamp2LhxI6RSKTw8PJCZmaksLygogFQqhYODQ5NlRK3Jo9Iq/BKbhUHBneFsb2nscPTOzNQEQd2dkV1QBiH0c7KCiIiIqK0wWEK1YcMG3LhxA9u2bYO5uTkAIDg4GBUVFbh8+TIA4MCBAxg/fnyzZUStyX+upEMuV2B8eDdjh2IwIT1cUF5VjeIyDp9OREREHZtBuvzdvXsXO3fuhI+PD6ZMmQIA6NKlC7Zt24a1a9dixYoVqKyshJeXF9atWwcAkEqlasuIWovySjlOXslAmL8rPJxt0FGu1wT5OgOoGdmwk425kaMhIiIiMh6DJFRPPPEEEhISGi3r27cvoqOjW1xG1Br8EpOJsko5nn6y41ydAgCnTpawtTJDTlF5ux7VkIiIiKg5Br2Hiqg9kVcrcOxSOgK6OrTbB/k2xc3BEvmPKjl8OhEREXVoTKiItHThVjYKiyvx9JPexg7FKFwdrKBQCBQ8Uj9iIBEREVF7x4SKSAsKIfDThTR0cbVBb18nY4djFM72lpBIgJyicmOHQkRERGQ0TKiItBCblI/MvFI8He4NiURi7HCMwtRECudOlshlQkVEREQdGBMqIi0cv5gGRzsLDOjlZuxQjMrVwRKPSmWoqJIbOxQiIiIio2BCRdRCadnFuJ1WhNH9u8DUpP19hUxNpRDSpv/VXpRzdbACAOQWVRgxYiIiIiLjMciw6UTtyc+X0mFhZoJhIZ7GDkUvZNUKHD6d2OQ8k4b3AADY25jD3FSK3KJydHWzNUR4RERERK0KEyrqMEzNTCCrbvrRu2YmEshl1WrLi0oq8dutbAwP9YK1pZmuQ2xzJBIJXB2skFtUDiFEh72fjIiIiDouJlTUYciqBQ41c+Xl2WE90FRKcPJqBhQKgdEDuug2uDbM1cESGXmleFQmg72NubHDISIiIjKo9ncDCJGeVMmqcepaBkKfcIG7o7Wxw2k1au+jyinkaH9ERETU8TChItLQ+ZsPUFIuw9gBXY0dSqtiZWEKO2sz5D1kQkVEREQdDxMqIg0IIfDz5fvo5m4L/64Oxg6n1XG1t0T+o0pUKxTGDoWIiIjIoJhQEWngdmohMvNKMaZ/Vw680AgXBysoFAIFjyqNHQoRERGRQTGhItLAiasZsLUyw8AO/iBfdVw6WUICIO8hn0dFREREHQsTKqJmFDyqwLW7uRga4gEzUxNjh9MqmZpK4Whngdwi3kdFREREHQsTKqJmnLqeAQAYEepl5EhaNxcHSxSVVKFKrv45XkRERETtDRMqoibI5Aqcvp6JED8XuPx3eHBqXO3w6ez2R0RERB0JEyqiJlxOyEFxmQwj+/HqVHMcbS1gIpUgr4gJFREREXUcTKiImnDyyn24O1oh0MfJ2KG0elKpBC72lryPioiIiDoUJlREaqQ8eISkzEcY2bcLpP8dKt3UzARCKlX7r6OPqO7iYInSCjkf8ktEREQdhqmxAyBqrU5dy4S5mRSDe3dWTpNVCxw6nah2mUnDexgitFbL1d4KQCHiUwrg2tvD2OEQERER6R2vUBE1oqJKjgvx2RjQ0w3WlmbGDqfNsLM2g4WZFPH3CowdChEREZFBMKEiasSl2zmorKrG0D6exg6lTZFIJHBxsMKtlAIohDB2OERERER6x4SKqBG/xGahs5M1nuhib+xQ2hxXe0sUl8mQkVtq7FCIiIiI9I4JFVE9WfmlSLz/EENDPCDp6KNMaKH2eVS3Utjtj4iIiNo/JlRE9fwSkwUTqQSDgjmogjasLEzR2ckat1IKjR0KERERkd4xoSKqQ16twLkbWejj5wx7G3Njh9NmBXZ3QkJ6IeTVCmOHQkRERKRXTKiI6ohNzMOjMhkiQjgYxePo5eOEKpkCSRkPjR0KERERkV4xoSKq45eYTDjYmiPY18nYobRpPb0dIZGA3f6IiIio3dM4ofrpp58anX706FGdBUNkTBVVcsQl5WFwbw+YSHmu4XFYW5qhu0cn3ErlwBRERETUvmn8q/Gdd95pdHpUVJTOgiEypsy8MggBPBXU2dihtAuBPk5IznyE0gqZsUMhIiIi0hvT5mZIT08HAAghlH/XLTM354371D5k5Jagq7stPF1sjB1Ku9DHzxlHzqXgRnIBwgPdjR0OERERkV40m1CNGTMGEokEQgiMGTNGpczFxQWvvvqq3oIjMpTSChkKS6owakA3Y4fSbvh6dIKtlRlik/KZUBEREVG71WxCdfv2bQDAtGnT8K9//UvvAREZQ0ZuKQBgYCC7++mKVCpBsK8T4pLzoVAISKV8SDIRERG1PxrfQ8VkitorIQQyckvh1MkCzvaWxg6nXenj54ySchnuZT0ydihEREREetHsFapa6enp2LhxI+Lj41FWVqZSdurUKV3HRWQwj8pkKC6XobcHh0rXteDuzpBIgNikfPh52Rs7HCIiIiKd0zihWrp0Kbp27YrIyEhYWVnpMyYig8rILYUE4GAUemBrZQY/L3vEJuXjuQhfY4dDREREpHMaJ1R3797F/v37IeXzeagdEUIgI68Erg5WsDAzMXY47VKInzO+O52MopJKONhaGDscIiIiIp3SODsaMGAAbt26pc9YiAyusLgS5ZXV8HLl1Sl96e3rDACIS8o3ciREREREuqfxFSovLy/Mnj0bY8aMgYuLi0rZ4sWLm11+zZo1OHbsGDIyMhAdHQ1/f38AwMiRI2Fubg4Li5oz10uXLsXQoUMBANevX0dUVBQqKyvh5eWFdevWwdnZWeONI2pORl4ppFIJOjtZGzuUdqurmy0c7SwQm5SPoSGexg6HiIiISKc0TqjKy8sxYsQIyOVyPHjwoMUrGjVqFGbMmIGXXnqpQdnmzZuVCVYthUKBN954Ax9++CH69++P7du3Y/369fjwww9bvG6ixgghkJVfBjcHS5iZsiurLpmaSiGX/+91Hz8XXLj1ADIBmJpIYWYigVxWbbwAiYiIiHRE44TqcROZ/v37t2j+GzduwMLCQrnclClTMGrUKCZUpDMPS6pQUVWNzs7s7qdrsmoFDp9OVL4uq5Choqoanx25CVcHKzw7rAf4VCrqCIqKCrF168cAgDFjnsauXVshhMCMGbPw9ddfolOnTsjJyVHOb2ZmBk9PL/z1r2/C3t7hsda7Y8cWTJ36J+zZsxNZWRmQyWTKcjc3d9jZ2WHhwiWPtR4ialsuXDiHnTu3Yv78RXB374y//30V3N098MILU7Bt28dwc+uMWbPm4ssv/4n58xdBCIEdO7ao/D1x4nPYvn0jli2LQteu3ir11+576i9rb++AtLQUrFmzGgsW/BWHD/+gnP646q6zbn2105uKV1daNGy6Ol27dn2sIJYuXQohBPr164clS5agU6dOyMrKgqfn/7oHOTk5QaFQoKioCA4Omje+s7PtY8XWHFdXO73W39a1pvYpLK6Ajc3/BkVIzHwEiQTw9XKAhXnNgBRm5iZwtFOfYNWvoz6pRKJxubr5WlJHY/S9DdrE6G1hhit3cpFfXAUfL4dmYwRa12entWHbNK01tU909A9ITq45ufDpp59ACAEA+PzzvQAEKioqVOaXyWRITU3B4cPfY/r0WY+13rt3E7Br11ZkZmY0KM/JyUZOTvZjr4eI2pZPP90BANi1azvc3d1RUVGB1NR7+OSTzaioqEBaWgp27dqKrKxMHD78PQDg7t0Elb8/+WQzysvLsXPnVrz33jqV+mv3PfWXnT59Fnbt2oby8nJs374Z5eVlOtv/1F1n3fpqpzcVr65onFCNGTMGEolEeTAAAImk5hxzfHy81gHs27cPHh4eqKqqwvvvv49Vq1Zh/fr1WtdXX35+CRQK0fyMWnB1tUNubrFe6m4PWlv7CKkUpaWVytfpD4rh3MkScpkccllN/zRZVXWTMdevoz6FEBqV29hYqJ1P0zrU0fc2aBujq70l0h88QkCXTs3G2No+O60J26Zp6tpHKpXo/QRbfUVFhfjll9PK19XVdfrBounj0i+/nMKkSc9rdfa2qKgQZ8+ehhCi0WSqrrNnT2u9HiJqWy5cOKfcD1VXy1X2D2Vlpcq/a6fX7r+EECp/186bmZmB9PRU5VWfuvue2v9r/j6Dvn0HKOutXf7s2TOPvf9RXef/6qs7XV28uqRxQnX79m2V17m5udi6dWuLu/LV5+HhAQAwNzfH1KlTMX/+fOX0zMxM5XwFBQWQSqUtujpFpE5Jec3DfL07t54z2e2dp4sNsgvLUVRSZexQiAwiOvqHekmU5uRyudZnb6Ojf9D4RGJj63n4sAgPHz7EmjWrW7xuXTMzM4Gsnd5vmZaWCkV1x3xch0JegbS0VL1+xtrzZ6el0tJSYW9vr7w6pSm5XI7/XjtR+buuuld96u575HI5aq/BKBQKfPLJ5gbLKhQKnVyNr11n3frU7Qf1dZVK6zvxXV1d8c4772DDhg1ar7ysrAzFxTVnEoUQ+Pe//41evXoBAIKDg1FRUYHLly8DAA4cOIDx48drvS6iurLyywAAnZ05up+huDtZQSIBMvNLm5+ZqB04f/5XlV4d2iyv7XKaJnJCCK3XQ0RtS8tP8Ig6+zDR6P6s7lWuuvuemnmFcr11r4DVjedx9z9111m3PnX7weau2mtL4ytUjUlOTkZ5eblG87733ns4fvw48vLy8PLLL8PBwQE7duzAq6++iurqaigUCvj5+WHFihUAAKlUirVr12LFihUqw6YT6cKDgjLY25jD2uKxvgLUAuamJnCxt0RWfhmEEByUgtq9p54ajFOnTmidVD311GCtlztz5pRGP54kEkmD9djbO8De3gGRkcu1Wr8utecurmvWrEZiep6xwzAKqaklunV10etnrD1/dlqq9kpgbm5uC5MqCSSS2uSo7t//4+nppfy77r6n5jYhABAwMTGFhYVFg6TKxMRU6/1cY+usW5+6/WDdeHVJ41+TU6dOVd4zBdQMo56YmIgFCxZotPy7776Ld999t8H0gwcPql2mb9++iI6O1jREIo1UVMlRWFyJnt3aZ/fR+kOW19fYJXtD8XS2QUxSPtJzSuDNhylTOzdx4nP45ZfTkMtlzc9cj6mpKSZNel7r9Z49exrVGvR2epz1EFHbMnv2POzcuVXj+U1Na9IEuVym8nddc+cuVP5dd99jamoKIQTkcjmkUinmz1+Ejz5SHalbKpU+9v6n7jrr1qduP1g3Xl3SOKGaPHmyymsrKyv07NkTPj4+uo6JSK8etPPufvWHLK9v0vAeBoxGVWdna8Qk5eNyfDa8XX2NFgeRITg4OGLo0GH4f//vPwBqzsb+72ypBE0NTDF06HCtb9R2cHDEkCHDcOrUCXh4eDbZxWXIkGEckIKogwgPH4RPP92hvJrj7u6u3D9YW9soryB5enohKysTQ4cOAwCcOnVC5W8rK2uUlZXC09NLZYCHuvueIUP+N/+QIREICuoNT08vZGZmwNraBuXlZRgyJOKx9z+q6/xffXWnq4tXlzS+h+q5555T+Td+/HgmU9QmZRWUwcbSFHZWZsYOpcOxMKvp9nflds5j3VtC1FZMnPgcfH17wNe3B2bPnq/s6TFjxsuwtLSEm5ubyvxmZmbw9vbRyVnbJ54IwJw5C9Gtmw/MzFT3d25u7vDz68GrU0QdzOzZ8wAAc+a8gjlzFsDS0hLe3t0xf/4iWFpaols3H8yZsxBPPBGASZOeV+5L6v49f/4iWFlZNXq1p7H5a/czc+YsgJWVFV55ZZHK9MdVfz31pzcVr65ofIVKJpPhk08+waFDh5CTkwM3Nzc8++yzmDdvHszNzfUWIJEuyeQK5D2sgK9nJ5UurGQ4Hs7WiEsuQGZeKbxcDTuMNZGhOTg44t13Vylfh4c/pfx7+PDRervPw8HBEcuWRQEA/va3D3RePxG1TeHhgzBhwjjlfmf79j3Ksrp/1+4/1P29bdvuRuuvu++pv2y3bj7K5QIDez/OZjS5zsamq4tXVzROqNatW4fY2FisXLkSnp6eyMzMxPbt21FSUoK3335bnzES6UxOUTmEADo7tc/ufm2Bh7M1biQX4EpCLhMqIiIiavM0TqiOHj2KQ4cOwdHREQDg6+uLwMBAPPvss0yoqM3ILiiDmakUTnYWxg6lw7I0N0WPLg64nJCDSUO6GzscIiIiosei8T1U6u534H0Q1FYoFAI5heVwc7Ridz8j69fTDfdzS5GZx2dSERERUdumcUI1fvx4zJ8/H7/88guSkpJw5swZLFiwgA/bpTbjXtYjVMkVcHe0MnYoHd7AQHdIJMBvtx4YOxQiIiKix6Jxl7833ngDn3zyCVatWoWcnBy4u7vjmWeewfz58/UZH5HOxCbmQQLAzYEJlbHZ21og0NsRv93MxnNDfXnFkIiIiNqsZq9QXblyBevWrYO5uTkWL16Mn3/+GTExMTh+/Diqqqpw69YtQ8RJ9NhiEnPh2MkC5mYmxg6FADwZ1Bl5DyuQlPHI2KEQERERaa3ZhGrnzp0YMGBAo2Xh4eHYsWOHzoMi0rXC4kqkZ5fA3ZGj+7UWff1dYWYqxXl2+yMiIqI2rNmEKj4+HkOHDm20bNCgQbhx44bOgyLStZikPACAuxO7+7UWVhamCO3hgkvxOZBXK4wdDhEREZFWmk2oSkpKIJPJGi2Ty+UoLeUoXdT6xSbmw8XeEnZWZsYOhQCYmkohpFI82dsDJeUy3EgtgpBKlf/KKhrf5xARERG1Ns0OSuHr64uzZ89i9OjRDcrOnj0LX19fvQRGpCsyeTVupRZgSB9PDn7QSsiqFTh8OhEKhYCZqRTfnbyLlIwiZfkLYwKMGB0RERGR5pq9QjVz5kysWLECx48fh0JR0y1HoVDg+PHj+Nvf/oaXX35Z70ESPY7baUWokinQp4eLsUOheqRSCTxdbPCgoAxyObv9ERERUdvT7BWqiRMnIi8vD5GRkZDJZHBwcEBRURHMzMywaNEiTJgwwRBxEmktNjEf5mZS9PR2RPL9ouYXIIPq4mqD1AfFyCooQ1c3W2OHQ0RERNQiGj2H6uWXX8bkyZNx7do1FBUVwcHBAWFhYbC15Y8fat2EEIhJykOgtxPMTDlcemvkZGcBKwsT3M8tYUJFREREbY7GD/a1tbVVO9ofUWuVmV+GvIcV+N2T3sYOhdSQSCTo4mqLu/cfoqKqGpbmTHyJiIio7Wj2Hiqitiz2v8Ol9/FzNnIk1BQvVxsAQGYeRw0lIiKitoUJFbVrsYn56OpmC6dOlsYOhZrQydocnWzMcD+3xNihEBEREbUIEypqt0orZLh7/yGvTrURXVxsUVRShZJyPoOKiIiI2g4mVNRu3bxXAIUQCPHjcOltQW23v4xcdvsjIiKitoMJFbVbMYn5sLUyg69nJ2OHQhqwsjCFcydL3M8tgRDC2OEQERERaYQJFbVLCoVAXHI+evs6QSqVGDsc0lAXVxuUVshxL/ORsUMhIiIi0ggTKmqX7mU9Qkm5DH3Y3a9N8XSxhlQCnI/LMnYoRERERBphQkXtUkxSHqQSCYJ9nYwdCrWAmakJ3Byt8duNLCgU7PZHRERErR8TKmqXYhPz0cOrE2wszYwdCrVQF1cbPCypQnxaobFDISIiImoWEypqdwqLK5GWU4I+Pdjdry1yd7KClYUpfrv5wNihEBERETWLCRW1O7FJeQCAED5/qk0ykUrRv5c7riTkokpWbexwiIiIiJrEhIrandikfDh3soSni42xQyEtPdXbAxVV1YhNyjd2KERERERNYkJF7YpMXo2bKQXo08MZEgmHS2+rArs7wd7WHOfZ7Y+IiIhaOSZU1K4kpBWhSqZgd782TiqVILyXO+KS81FaITN2OERERERqMaGidiUmKR/mplL07OZo7FDoMT0Z5A55tcCVhFxjh0JERESkFhMqajeEEIhNykMvb0eYm5kYOxx6KhyvdAAAIABJREFUTN7udnB3suZof0RERNSqMaGidiMzrxS5RRWPNVy6qakUQqr+H2/LMhyJRIKnAt2RkFaEgkcVxg6HiIiIqFGmxg6ASFdi/jsiXGiAG4S04bkCTZIhWbUCh08nqi2fNLyH1vFRy4UHuePg2Xu4GJ+D8eHdjB0OERERUQNMqKjduJyQC0c7C5y+kt5oOZOhtsfd0RrdPTrht5sPmFARERFRq8Quf9QuFDyqQErWI3R2sjZ2KKRj4YHuSMspQVZ+qbFDISIiImqACRW1C9fu5gEAPJhQtTsDerpBAuDCrWxjh0JERETUgEESqjVr1mDkyJEICAjAnTt3lNPv3buHF198EePGjcOLL76IlJQUjcqI6rt6JxceztawtTYzdiikY452Fgjo5oAL8TkQQhg7HCIiIiIVBkmoRo0ahX379sHLy0tl+ooVKzB16lQcO3YMU6dORVRUlEZlRHWVVsiQkFaEsAA3Y4dCehIe6I7sgjKkZZcYOxQiIiIiFQZJqPr37w8PDw+Vafn5+bh16xYmTJgAAJgwYQJu3bqFgoKCJsuI6otNzIdCCIT5uxo7FNKTfgFuMJFK2O2PiIiIWh2j3UOVlZUFd3d3mJjUPIDVxMQEbm5uyMrKarKMqL6rd3PhYGsOH49Oxg6F9MTWygzB3Z1wIT4bCnb7IyIiolak3Q+b7uxsq9f6XV3t9Fp/W6fv9qmUVePmvQKM6N8VFhamsLGxUDuvVCJpslyTeXRZrm4+Q8agTbmh1lH/szP6SR98tO8K8kpkCPJ1bnLZ9o77naaxfYiIyJCMllB5eHggOzsb1dXVMDExQXV1NXJycuDh4QEhhNqylsrPL4FCoZ8z2q6udsjNLdZL3e2BIdrn+t08VFRVo1dXe8iqqlFaWql2XoUQTZZrMo+uym1sLNTOZ6gYtC03xDokkCCn3jDpvh52MDeV4uj5FLjaW8LMRAK5rLrJONsj7neapq59pFKJ3k+wERFRx2S0hMrZ2Rm9evXCkSNH8Oyzz+LIkSPo1asXnJycAKDJMqJaV+7kwMrCBD27ORo7FNKh/9/enUdHVabrAn921a5UpTJV5lQGQBISkjCGkCiGUSZtQFvsBrndDq0Cra14kD6ybAXEI7dRW7vR9jocLt19F+24mEEcDooCgokQQyBACAEykLkSKpVKjd/9IxJBMpFpV5Lnt1aWpnZV7SebpN56a3/7+xxOF7bvP3vd7SEGHQ7llMJXq8Yvpw6DpEA2IiIioqv1SkP1X//1X/jss89QVVWFBx98EAaDAbt378aaNWuwcuVKvPnmm/D398f69eubH9PWNiIAcDjdOHqmCmOHhUJWq8Ara/q/qBBflFY1oKrOqnQUIiIiIgC91FA9++yzePbZZ6+7PTY2Fh999FGLj2lrGxEAnDhfA6vNibRETpc+UIQFekNWSyiutLR/ZyIiIqJeoNgsf0RdlZlXDh+djKQhHAo6UKhVEozBPiiraYB9AF4/RURERJ6HDRX1GbJGDaFSQahUsLsFjuVXISUhDGqNDKFSQeIFNQNCVKgPnC6BnIIqpaMQERER9f9p06n/cLhE80QFl6otaLS7rpm8YN6UOCXjUS8JCdDBS6PCdyfKMZ6LORMREZHCeIaK+qSSKgu8NCqEBOiUjkK9TCVJiArxwQ9nq2C1OZWOQ0RERAMcGyrqc5wuN8prrDAG+0DFcX4DUlSID5wuN46eqVQ6ChEREQ1wbKiozyk3WeFyC0SF6JWOQgoJ9NMiOECHI3nlSkchIiKiAY7XUFGfU1plgVajRrA/h/sNVJIkIS0pHJ8evghzgx1+ei+lIxH1GxkZk5WOQETdiH/TPY8NFfUpTqcb5SYrBof7QuJwvwEtPSkCn3x7AVmnKzF1bJTScYj6jVtvnaR0BCLqRvyb7nkc8kce4+pp0Vv6kiSgtNoCt1sgKsRH6biksOgwXxiD9ThyksP+iIiISDk8Q0Ue4+pp0Vsyb0ociirq4aOTEein7cVk5IkkSUJ6Uji2f1OImsuNCOIQUCIiIlIAz1BRn1FZa0X1ZRtiwjjcj5qkJ4ZDAPgur0LpKERERDRAsaGiPuPw8UsAmoZ6EQFAeJAegyP8ONsfERERKYYNFfUJQggcOn4JIQE66LUcqUo/SU8Mx4UyM8prGpSOQkRERAMQGyrqE2rMNlSarIjh2Sn6mbTEMEgAJ6cgIiIiRbChoj6hqLweWo0axmAu5kvXCvLXYViMAUfyyiGEUDoOERERDTBsqMjjOV1ulFZbMC4xDLKav7LURJZ/mlI/PTkCl6obcLGqofk2WaNWOiIRERENALwYhTxeWU0DnC6BCSONOHO+Ruk45CEcLjd2/DjNvs3hgiQBm/fmIWlIEADgzslx4FyQRERE1NP4cT95vIvl9fDWqhE/OFDpKOShtBo1Qg3eKKmycNgfERER9So2VOTR6q0OVNU1YlC4H1Rce4raEBXiA6vNhRqzTekoRERENICwoSKPdqHMDEkCBodzdj9qmzFID7VKQlFFvdJRiIiIaABhQ0Uey+V2o6iiHhFBeui8eLkftU2WVYgM8UFJpQVOl1vpOERERDRAsKEij1Va1QC7040hEX5KR6E+YlC4L1xugdIqi9JRiIiIaIBgQ0Ue63yZGT46GSEBOqWjUB8R5KeFr7eMC+Uc9kdERES9gw0VeaQ6ix0msw1DIvwgcTIK6iBJkjAozA8ms41nqYiIiKhXsKEij3ShzAyVBMSEcTIKujHRYb6QJODAD6VKRyEiIqIBgA0VeRyny43iynpEhvjAS6NWOg71MTovNcID9Th0vJSTUxAREVGPY0NFHudieT2cLoGbjP5KR6E+anC4L8wNDvxwtkrpKERERNTPsaEij+IWAudKLyPIT4tAP63ScaiPCg30hsFXi29yLikdhYiIiPo5NlTkUS5VN6DB5kRsFM9OUeepJAkZoyNxvKAalbVWpeMQERFRP8aGijyGEAIFJXXw0cmICNIrHYf6uMljoyBJEr48WqJ0FCIiIurH2FBRr5E1agiVqtWv/KJa1NbbERsVwKnSqcuC/HVISQjFNzmlsDlcSschIiKifkpWOgANHA6XwPb9Z1vdfr68Hl4aFWJCfXoxFfVnt6VEIetUBY6cLMek0ZFKxyEiIqJ+iGeoyCOYG+zIOVuFmyL8oVbz15K6R3yMATFhvvg8swhCCKXjEBERUT/Ed67kEQpKLsNLVmGI0U/pKNSPSJKEWWkxKKmy4Pi5aqXjEBERUT/EhooUZ2l0oKiyHhljIqHlQr7UzdISwxHop8XeIxeVjkJERET9EBsqUtyZolpIkoQ7JtykdBTqh2S1CjPHx+DUxVoUXrqsdBwiIiLqZ9hQkaLMDXYUVVhwU4QfDFzIl3rIpNGR0Gtl7Dx4XukoRERE1M+woSJFnS6qhVolIS46QOko1I95a2XMTItB9tkqXCgzKx2HiIiI+hE2VKSYOosdpVUNGBrpz2unqMdNHxcDH52M7QcKlY5CRERE/YhHrEM1bdo0eHl5QattGvK1YsUKTJw4EdnZ2Vi1ahVsNhuioqLw8ssvIzg4WOG01F1OXzRBVkuIjfJXOgoNAHqdjJnjY7D1m0KcK72MoZH8vSMiIqKu85gzVBs2bMD27duxfft2TJw4EW63G3/84x+xatUqfPrpp0hNTcUrr7yidEzqJiazDWU1VsRFBcBL5tkp6h3TU2Pgr9fgw335XJeKiIiIuoXHNFQ/l5ubC61Wi9TUVADAwoULsXfvXoVTUXcQQiD3XDW0GhWGGnmWgHqPt1bGXROH4kxxHY7lVykdh4iIiPoBj2moVqxYgblz52LNmjW4fPkyLl26hMjIyObtQUFBcLvdqK2tVTAldYeiinqY6u1IGhIEWfaYX0EaICaONsIYrMdHX56Fw+lWOg4RERH1cR5xDdXmzZthNBpht9vx4osvYu3atZgxY0a3PHdwsG+3PE9rQkP9evT5+7qrj4/J3AiNl4y8i7UICdAhYUgQJElq3q6SJPj4tD51ek9v7+0Mrd1P6ePgCccJaP34dPQ5NF5qBPr5tLht6d2jsfrdb/F1bhkWzkhocz+eiK87bePxISKi3uQRDZXRaAQAeHl5YdGiRfj973+P++67D6Wlpc33qampgUqlgsFguKHnrq6uh9vdM9dKhIb6obKSUzC35ufHR6hUOHa6Aja7C+mJYWhosF9zf7cQsFhsrT5fT2/vzQw+PtpW76f0cfCE4wSgyxkcdlerf58xwd4YPzwMH3x+BiMGGRAepG9zX56Erztta+34qFRSj3/ARkREA5Pi460aGhpgNjcVPyEE9uzZg8TERIwYMQKNjY3IysoCALz//vuYPXu2klGpi0oq61FYehmDw31h8OUivqSse6cPg0aW8M+9p+DmBBVERETUSYqfoaqursbjjz8Ol8sFt9uN2NhYrF69GiqVCi+99BJWr159zbTppAxZo4bD1fqbTo1agtPhanW7EAL//uw0ZFmF4YMDeyIi0TVkWQWns/XtIYF6/HpqHP659zS+yCrGzPExvReOiIiI+g3FG6qYmBhs27atxW0pKSnYuXNnLyeiljhcAtv3n211+52T4yC1uhXYn12KUxdMGBUbzEV8qVc4XG7saOd3dtLoSGTnV+HjrwqQNCQQ0aEcEkZEREQ3RvEhf9T/VdZa8cG+s0gaEoTB4XzDSp5DkiQ8eEci9Fo1/s+2XFhtbZzSIiIiImoBGyrqUW4h8H9350GlAh74RdI1s/oReQJ/Hy8smZeMspoGbNqTxwV/iYiI6IawoaIete/7YpwuqsXCacMQHKBTOg5RixKHBOGeKbHIOl2JnYfOKx2HiIiI+hDFr6Gi/qu0sh4ff1WAUbHByBhlVDoOUZtmpw1CcYUF274pRLC/DreO5O8sERERtY8NFfUIh9OF9e9lQyOrcP/s4ZAkCRxIRZ6s6Xqq4aitt+Efn5yCXitjbHyo0rGIiIjIw3HIH/WI977Ix7mSOjw0JwmBflxzivoGWa3CY78ciUHhfnhzWy6+z6+CUKla/JI5WyURERGBZ6ioB3x7ogxfZZdi/tQ4jIkLUToO0Q3R62Q8tWAMXv0wG29uyUFqQiiMwT7X3a+9pQKIiIhoYOAZKupWJVUW/HPvKcRHB+C3tycqHYeoU/Q6GcvvTYHBV4us05UorbIoHYmIiIg8FBsq6jZWmxNvbj0OnUaNJXeOgFrNXy/qu7y1Mm5OCm9uqs6W1HFKdSIiIroO3/FSt3C7Bd7ecQLlNVYsmZfM66bI48lyy9dGXfmSJEAjqzAhORzGYD1Onjfh+LkauNlUERER0VV4DRV1iw/35SOnoBq/nZWAxCFBSschapfD5caO/Wdb3T5vShwAQK1WITUhFHkXTDhbchkNNifGcfY/IiIi+hHPUFGXXSgz4/PvLmL6uGhMHRuldByibidJEpKGBGFUbDAqTVZ8/UMpiirMSsciIiIiD8CGirqkstaKnHPVGDE0GAtui1M6DlGPGhLhhwkjI+B0Caz7RyYOHr+kdCQiIiJSGIf8UafV1tuQeaoCvjoNltw1EmoV+3Pq/4L9dZg8JhIXK+qxcXcezhTV4t7pw6Dz4sspEd0YV2MtGi78j6L7B9DrGZr2y2VVqP/gOwDqlPoGBw6fKIdGVuHm5HDodTLgdisdi6hX6LzUWH7vWGzfX4A9317AqYsmPPSLJMTHGJSORkR9REzM4C49XqNRw+Fwdek56uqa3gYGBPT2a1dIl39+Ik/ChopumNXmxLcnywAJuCU5At5a/hrRwKNWqTB/cixGDg3Gxt0nsX7zUcxOH4S7Jt4EjaxWOh4RebhFi+7r0uNDQ/1QWclrOYk8Acdo0Q1ptLvw7YlyOJxu3JIUDl9vjdKRiBQVH2PA879Lw6QxkfjkyEWs2ZSJM0VNw2hkjbrNqdllDRsvIiKivo6nFqjDrDYnDuWWodHuQnpSOAJ8udYUEQDovGTcP3s4xiWE4l97T+PPm49iakoU5k8dhs8On2/1cXdOjoPUezGJiIioB7Chog6prLXi4PEy2J0u3JwcjmB/ndKRiDzOiJuCsfahNGz9uhBfZBUhO78K8dEBCA/SKx2NiIiIegiH/FG7ymoasP7/ZcHhcuOW5Ag2U0QAZLnlYXxanRcWzkzAM/ePh14n40heBb4/XQmbvWsXjxMREZFn4hmqAULWqOFwiVa3a9QSnC3MFpR3vgZvbsuFSiVhwogIBPh49WRMoj7D4XJjx/6zbd7nuYfS8dq/jyK/qBYVtVaMuCkI0aE+kCQO9CMiIuov2FANEA6XwPY23vy1dC3Hl0eLsfnzfEQE6/HEr0bjUE5pz4Yk6mdktQoJMQZEBuuRfbYax/KrUFxZj9GxwdDrOKELERFRf8CGiq7jdLnx3v/k48ujJRgdG4zF85Kh8+aZKaLO8tN7IWNkBM6XmXHyvAlfHitF4uBAuN0CnOePiIiob2NDRdcoq2nA2ztO4EKZGbPTB+GeybFQqSS0PliQiDpCkiTcZPRHeJAeOQXVyC2swf/+VyYevH04okJ9lY5HREREncSGigAAQggc+KEUm784A41ahT/cPRIp8aFKxyLqd/RaGemJYSipsuBMUR2e/0cWFkyLw7SUKF5bRURE1AexoSI02p14c0sOjp6uxPBBBjwyNxmBflxjiqinSJKE6FBf/Pb2JGzadQKbPz+D3HPVePAXifDXc3gtERFRX8KGagATQqCooh4nCk0QAH41JRaz0gZBpeKn5ES9wd/HC8vuGYX/+b4YH35ZgNUbv8PDc5KQfFOQ0tGIiIiog9hQDVCWRgd+OFuNqrpGBPlr8dS9KTAGeisdi2jAkSQJ01NjkDAoEG/vOIG/fJCN2WmDcPfkoZDVXCqQiIjI07Ghakdb6zeZzI0QKlWrazh5IrcQKCy9jFMXayFJwKihQRgc4YeIYB/A7VY6HtGAFRPmi1X3p+KDfWex97uLyLtgwpI7kxERpFc6GhEREbWBDVU72lq/ycdHC4vF1uIaTt2ps4vy/lxlrRW5hTUwNzgQHuiNUbHB8NbyV4BIKbKsgtP50/carQq/uT0RybHB2LQ7D2s2fYf/NT0eGaOMnLCCiIjIQ/HddB/QmUV5r1ZhasCHXxXg6OlK6LUyxg8PRUSQnm/QiBTmcLmxo5W/7QnJ4SiqtGDTJ6dwLL8Ki2YMQ0gAh+USERF5GjZU/VhxRT32HL6AI3nl0MgqDB9kQGyUP9QqXpdB5Om8tTKeWpSCzw9fwLYD5/Dsu0cwZ8IQ/OYXSUpHIyIioquwoepnnC43cs/V4OsfSpF9tgpaLzVmpQ3CjPTB2P99kdLxiOgGqCQJs9MHYfzwMLy/Lx9bvj6HI3nlmHPLEIwfHsYZOYmIiDwAG6pOsNldaHS4YLG5YLc7UVVnhcFX2+qMXD05aYUQAqVVFpwrMuHkBRNyz1XD0uiEn16DuzJuwrRx0fD11kDwrBRRnxUcoMNjvxyJ4+eq8fH+c3h7xwnsOFiIuROGIC0xnI0VERGRgthQdYDN7kJZTQPKTQ0wmW2wOa6dDe+bnEuQAPjqNQgJ0CEkQIdgfx28NGoA7V/j1BEut0C91QFzgx31VgfqGxwwWx2wWB3YeegCgKY1bcYMC8G4+DCMGBrEKZeJ+pmRQ4MxZfxgfHKgADsPncc7O09iy9fnMHF0JDJGGrkgNxERkQLYULWh3urApk9OITu/EkIA3lo1wgK94e/jBW8vGX6+WjQ02JEUF4IDx0pgMttwsbwehZfMAIAAHy+EBXpj+AUT4iL9OtTgCCFgMttQXFmPoop6FFdaUFRRj0vVFoirJvrT62T4eWsQZvDGpJRoxBn9EB6kh6qTE038fLaxn+P8FUSeQaWSkJYYjtThYTh2phL7jpZg69fnsP2bQoyOC8b4xDCMGhoCvY4v70RERL2BFbcNJrMN1XWNiI30R3SoL/z0mmtmxvPx0cKik3HrqEhU1zQAaDqTVFtvQ1VtIyrrrDhbXIeXNn8PWa3CoHBfRAb7IDhAB71OhqxWweFwwWx1oLLWinKTFRWmBlhtPw0PDPbXITrMFz46Gf56L/jpNfDxlq+ZWCJjVCSkLq4h1dZsYwAwb0pcl56fiG5cSx90XFn/TgJw86gopCRGoLymAd/8UIJDOZdwLL8KapWExCFBGB0XguSbghBu0HFWTyIioh7ChqoNMWG+WP1QeptTlv+cWiUh2L9pyF8CDHA43RgabcDZIhMKL5lxvLAadfX2ax6jkiSEGHQIC/RGbGQEIkN8EB3qi+hQH+h1Tdc/3UgGIuofWvqg48r6d0DTBx1XtmtUEiaNNsJktuFSdQPOldYh91w1AMBPr0F8jAE3Gf0xKNwXg8L94K/36t0fhoiIqJ9iQ9XDNLIKKQlhGDcspPk2h9MNm8MFp8sNL1kFrZe6z09l3tYn6VfwA3KiniVJEoL8dQjy1yFpSCAabE4MiTIgr7AGZy6a8P3pyub7Ng1J1iMsyBsh/jqEGbwRYtAh0FeLAF8vaGR1r+XursXLiYiIlODxDVVhYSFWrlyJ2tpaGAwGrF+/HkOGDFE6VpdoZBU08k+NRntvJvpCI9LeJ+kAhw0S9SZJkuCj0+CWkUZUVlsQMiICdocLdRY76ix2mBscqLlsRVWdFSaz7brH++hkBPhqYfDTwl/vhYAfGy3DNf/Vws9bhsvZ1SHHXVu8nIiISEke31CtXr0aixYtwp133ont27dj1apV+Ne//qV0rG7V3psJNiJE1B28NGqEGrwRavBuvm3+bfGwNjpQVduIqjoras021NbbUFdvR129DXUWO34orYTN7oK7hc99ZLUKfnoNfL1/+vL58RpRWa2CLEuQVSqo1RJcbgGnS8Dpcv/4JeB0uuF0C1wsvwwh8OOXwJVdqSQJI+JCEWf0652DREREdIM8uqGqrq7GyZMnsWnTJgDAnDlz8MILL6CmpgZBQUEdeo6urs8iVBJ89ZoWt+l1GkjCDVUb97mSQWrj89W29nHl8W1t99Ko4XS1/XOqJHRpH53ZfuX49OQ+unN7b2b4+bFRIkNntzODshmv/t3pjgwuIfD1seJr96FVQ6/1hjHYG9NvHoIvDp+HEE0Lh9sdLtgcTcOW7XYXIsP8YLHa0dDohKXRCUujA9WXG+F0CbjcTY3T1TOUSgDUsqq5yZLVKqhVErw06qbXSanp7NqVVzQBwO1239BreUv37Wwt6I01vriOWNt4fFrHY9M2Hp/W8di0rjM1RBJCtD7WTGG5ubl4+umnsXv37ubb7rjjDrz88stITk5WMBkRERERERHQt2dCICIiIiIiUpBHN1RGoxHl5eVwuZpmd3K5XKioqIDRaFQ4GRERERERkYc3VMHBwUhMTMSuXbsAALt27UJiYmKHr58iIiIiIiLqSR59DRUAFBQUYOXKlbh8+TL8/f2xfv16DB06VOlYREREREREnt9QEREREREReSqPHvJHRERERETkydhQERERERERdRIbKiIiIiIiok5iQ0VERERERNRJstIB+qpHH30UxcXFUKlU0Ov1eO6555CYmKh0LI/yxhtv4PXXX8fOnTsRHx+vdByPMW3aNHh5eUGr1QIAVqxYgYkTJyqcyjPYbDasW7cO3377LbRaLcaMGYMXXnhB6Vgeobi4GI899ljz92azGfX19fjuu+8UTOU5vvzyS/ztb3+DEAJCCPzhD3/AzJkzlY7VJtaR9rGOXI81pG2sIy1jDWlfV+oIG6pOWr9+Pfz8/AAAX3zxBZ555hls3bpV4VSe48SJE8jOzkZUVJTSUTzShg0b+OagBS+//DK0Wi0+/fRTSJKEqqoqpSN5jOjoaGzfvr35+xdffLF50fOBTgiB//zP/8TmzZsRHx+PU6dO4d5778X06dOhUnnuQAzWkbaxjrSONaR1rCMtYw1pW1friOdWGg93pQgCQH19PSRJUjCNZ7Hb7Vi7di3WrFmjdBTqQywWC7Zt24Zly5Y1/z2FhIQonMoz2e127Ny5E/Pnz1c6isdQqVQwm80Amj55DQsL8+hmCmAdaQvrCHUG60jHsIa0rCt1hGeouuBPf/oTDh48CCEE/vu//1vpOB7jb3/7G+bNm4fo6Gilo3isFStWQAiBcePGYfny5fD391c6kuKKiopgMBjwxhtv4MiRI/Dx8cGyZcuQmpqqdDSPs2/fPoSHhyM5OVnpKB5BkiT89a9/xaOPPgq9Xg+LxYJ33nlH6VgdwjrSMtaRtrGGtIx1pGNYQ67X5ToiqMu2bt0qHn74YaVjeISjR4+K++67T7jdbiGEEFOnThWnT59WOJVnKS0tFUIIYbPZxKpVq8RTTz2lcCLPkJubK+Lj48WOHTuEEEJkZ2eLm2++WZjNZoWTeZ6HH35Y/POf/1Q6hsdwOBzi/vvvF1lZWUIIIbKyssTkyZNFfX29wsk6jnXkJ6wjbWMNaR3rSMewhlyvq3XEs8dD9BF33XUXjhw5ApPJpHQUxWVmZqKgoAC33XYbpk2bhrKyMjz00EM4cOCA0tE8htFoBAB4eXlh0aJFOHr0qMKJPIPRaIQsy5gzZw4AYPTo0QgMDERhYaHCyTxLeXk5MjMzMXfuXKWjeIy8vDxUVFRg3LhxAIBx48bB29sbBQUFCifrONaRn7COtI01pHWsI+1jDWlZV+sIG6pOsFgsuHTpUvP3+/btQ0BAAAwGg4KpPMPixYtx4MAB7Nu3D/v27UNERAQ2btyIjIwMpaN5hIaGhubxuUII7Nmzh7N6/SgoKAjp6ek4ePAgAKCwsBDV1dUYPHiwwsk8y9atWzF58mQEBgYqHcVjREREoKysDOfOnQMAFBQUoLq6GoMGDVI4WetYR1rHOtI61pC2sY60jzWkZV2tI7yGqhOsViuWLVsGq9UKlUqFgIAAvPXWW7ygmNpVXV2Nxx9/HC6XC263G7GxsVi9erXSsTzG888/j2eeeQY2t2h6AAAJl0lEQVTr16+HLMt46aWXeG3Az2zduhV/+tOflI7hUUJDQ7FmzZprLkRft26dRzcnrCPUGawh7WMdaRtrSMu6WkckIYToyYBERERERET9FYf8ERERERERdRIbKiIiIiIiok5iQ0VERERERNRJbKiIiIiIiIg6iQ0VERERERFRJ7GhIuplCQkJuHDhAgBg1apV+Pvf/96tz79lyxbce++93fqcSnvrrbc4zSsR0Y9YR24c6wj1JK5DRaSgtWvXKh2hT1i6dKnSEYiIPBLrSMewjlBP4hkqojY4nU6lIwx4/Dcgor6Mr2HK478B9TQ2VNRvTZs2DRs3bsTcuXMxbtw4PPnkk7DZbACADz/8EDNmzEBaWhqWLl2K8vLy5sclJCRg8+bNmDlzJmbOnIkjR45g0qRJePfdd3HLLbcgIyMDX3zxBfbv349Zs2YhLS0Nb731VvPjc3JysGDBAqSmpiIjIwNr166F3W5vMePKlSvx2muvAWj69Gzs2LHNX8OHD8eWLVsAAAUFBXjwwQeRlpaGWbNmYc+ePc3PYTKZsHTpUqSkpOCee+7BxYsXO3R8EhIS8N5772HmzJlITU3F888/j6vX+f74449x++23Y/z48XjooYdQUlICANiwYQNeeOEFAIDD4cCYMWOwfv16AEBjYyNGjhyJ2traVvdbXFyMhIQEfPDBB8jIyEBGRgY2btzYvP3111/HE088gRUrViAlJQVbt27F66+/jhUrVjTfJysrCwsXLkRqaiomT57cfJzsdjvWr1+PKVOmYMKECVi1ahUaGxs7dDyIiH6OdaRtrCNEPxJE/dTUqVPF/PnzRVlZmTCZTGL27Nni3//+tzh06JBIS0sTubm5wmazibVr14pFixY1Py4+Pl488MADwmQyCavVKg4fPiwSExPF66+/Lux2u/jggw9Eenq6WL58uTCbzeLMmTNi5MiR4uLFi0IIIY4fPy6OHTsmHA6HKCoqErNnzxabNm265vnPnz8vhBDi6aefFq+++up12b/66itx6623itLSUmGxWMSkSZPExx9/LBwOhzhx4oRIS0sT+fn5QgghnnzySfHEE08Ii8UiTp8+LTIyMsTChQvbPT7x8fFi8eLFoq6uTpSUlIj09HSxf/9+IYQQn3/+uZg+fbo4e/ascDgc4u9//7tYsGCBEEKIQ4cOiTlz5gghhPj+++/FbbfdJu65557mbXPnzm1zv0VFRSI+Pl78x3/8h7BYLOLUqVMiPT1dHDx4UAghxIYNG0RSUpL4/PPPhcvlElarVWzYsEE89dRTQgghiouLxZgxY8TOnTuF3W4XNTU14uTJk0IIIV588UWxZMkSYTKZhNlsFkuWLBGvvPJKu8eCiKglrCNtYx0hasIzVNSv/fa3v0V4eDgMBgOmTp2KvLw87Ny5E/Pnz0dycjK8vLywfPlyZGdno7i4uPlxixcvhsFggE6nAwDIsozf//730Gg0uOOOO2AymXDffffB19cXw4YNQ1xcHE6fPg0AGDFiBMaMGQNZlhEdHY0FCxYgMzOzw5kLCwuxcuVK/PWvf4XRaMRXX32FqKgozJ8/H7IsIykpCbNmzcLevXvhcrnw2Wef4YknnoBer0d8fDx++ctfdnhfjzzyCPz9/REZGYn09HScOnUKAPD+++9j8eLFiI2NhSzLWLp0KfLy8lBSUoKxY8fi/PnzMJlMyMrKwj333IPy8nJYLBZkZmYiLS2tQ/t+7LHHoNfrkZCQgLvvvhu7du1q3jZmzBhMnz4dKpWq+d/gil27dmHChAmYM2cONBoNAgMDkZiYCCEEPvzwQzzzzDMwGAzw9fXFkiVLsHv37g4fDyKin2MdaRvrCBEnpaB+LjQ0tPn/vb29UVFRgdraWiQnJzff7uPjA4PBgPLyckRHRwMAjEbjNc9jMBigVqsBoPmFOTg4uHm7VquFxWIB0FTI/vznPyM3NxdWqxUul+ua/bXFbDbj0UcfxZNPPonU1FQAQElJCXJycpq/BwCXy4V58+ahpqYGTqfzmryRkZEd2hdw/fG58jOUlpZi3bp1zUMwAEAIgfLyckRFRWHEiBHIzMxEZmZmc5E8evQoMjMz8Zvf/KZD+746c1RUFM6cOdP8fURERKuPu3TpEgYNGnTd7TU1NbBarbj77ruvyex2uzuUh4ioJawjbWMdIWJDRQNQWFhY8zhuAGhoaEBtbS3Cw8Obb5MkqdPPv2bNGiQlJeEvf/kLfH198Y9//AOffvppu49zu9146qmnkJ6ejgULFjTfbjQaMX78eGzatOm6x7hcLsiyjEuXLiE2NhZAU6HoKqPRiKVLl2LevHktbk9LS8Phw4eRl5eHkSNHIi0tDQcOHEBOTg7Gjx/foX1cnbm0tBRhYWHN29o6/kajETk5OdfdHhgYCJ1Oh927d1/zb0lE1N1YR9rHOkIDCYf80YAzZ84cbNmyBXl5ebDb7Xj11VcxatSo5k8Vu8piscDHxwc+Pj4oKCjAe++916HHvfbaa7BardetkzFlyhScP38e27Ztg8PhgMPhQE5ODgoKCqBWqzFjxgy88cYbsFqtOHv2LLZu3drln2HhwoV45513kJ+fD6DpE89PPvmkefv48eOxbds2xMbGwsvLC2lpafjoo48QHR2NoKCgDu3jzTffhNVqRX5+PrZs2YI77rijQ4+bO3cuDh06hD179sDpdMJkMiEvLw8qlQq/+tWvsG7dOlRXVwMAysvL8c0339zgT09E1DbWkfaxjtBAwoaKBpwJEyZg2bJlePzxx5GRkYGioqLmGZK6w9NPP41du3YhJSUFzz33XIdf4Hfv3o3s7GykpaU1z9C0Y8cO+Pr6YuPGjdizZw8mTpyIjIwMvPLKK80zPq1atQoNDQ249dZbsXLlymuGKnTWjBkz8PDDD2P58uVISUnBnDlz8PXXXzdvHzt2LGw2W/OniHFxcdBqtdcMJ2lPWloaZsyYgQceeAC/+93vkJGR0aHHRUZG4t1338WmTZuQlpaGu+66q3nM/h//+EcMHjwYv/71r5GSkoIHHngAhYWFN/CTExG1j3WkfawjNJBIQlw1vyURUQ8rLi7GbbfdhhMnTkCWOeqYiIhuDOsIeRqeoSIiIiIiIuoktvVE/VRWVhYeeeSRFrcdO3asR/e9Y8cOrF69+rrbIyMj8fbbb/fovomIqHuwjhB1DIf8ERERERERdRKH/BEREREREXUSGyoiIiIiIqJOYkNFRERERETUSWyoiIiIiIiIOokNFRERERERUSexoSIiIiIiIuqk/w8mpLAZmQabGAAAAABJRU5ErkJggg==\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Normalized new price is approximately normally distributed with long tails on both sides. The peak is around 5€. The boxplot shows that there are many outliers." ], "metadata": { "id": "23xgKkFJFBO1" } }, { "cell_type": "code", "source": [ "hist_box(phone,'normalized_used_price',kde=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "_UlsZ0aN6Cpv", "outputId": "fba97576-5ea1-447b-ed81-ef345b33f9d0" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Used price is disributed smoothly between 2€ and 6€ with a slight left skew. The peak is around 4.25€ and there are many outliers in the boxplot." ], "metadata": { "id": "1uyela6sH7IP" } }, { "cell_type": "code", "source": [ "# comparison of new price and used price\n", "plt.figure(figsize=(8,5))\n", "plt.title('New Price Versus Used Price',fontsize=16)\n", "sns.histplot(data=phone,x='normalized_new_price',\n", " color='darkslateblue',label='New',kde=True)\n", "sns.histplot(data=phone,x='normalized_used_price',\n", " color='orange',label='Used',kde=True)\n", "plt.legend()\n", "plt.xlabel('Price (€)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "paXSI1m_ITBH", "outputId": "c4857f90-4513-4113-82c6-3d56ec938630" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Here is a direct comparison of new and used prices. We see that new prices generally trend higher.\n", "\n", "Next, let's look at how RAM varies by brand." ], "metadata": { "id": "P9A5yULkK4IY" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(20,30))\n", "rows=1+len(phone['brand_name'].unique())//4\n", "\n", "# subplot generating loop\n", "for idx, brand in enumerate(phone['brand_name'].sort_values().unique()):\n", " plt.subplot(rows,4,idx+1)\n", " plt.title(brand)\n", " sns.histplot(data=phone[phone['brand_name']==brand]['ram'])\n", "\n", "plt.tight_layout()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "kMuyGaXX9CHX", "outputId": "be3d02d9-107a-4a3a-ad9e-f9af0c5c0b0d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "What's clear from this breakdown is that every phone brand offers a product with 4GB of RAM on Mobile Market, and it is unmistakably the most common device configuration. For Microsoft, Panasonic, and XOLO, the data set only includes devices with 4GB of RAM. Celkon and Infinix are the only brands for which 4GB of RAM is not the most common configuration. Like most other brands, the most common configuration for OnePlus phones is 4GB of RAM, but unlike the others, OnePlus phones have a very high proportion of offerings with 8GB of RAM.\n", "\n", "Next we will look at the weight of devices with high-capacity batteries." ], "metadata": { "id": "ap3U_tQ8MZJ8" } }, { "cell_type": "code", "source": [ "# collect phones with battery capacity >4500mAh\n", "heavy=phone[phone['battery']>4500]\n", "\n", "plt.figure(figsize=(8,5))\n", "plt.title('High-Capacity Batteries (>4500 mAh) and Weight',fontsize=16)\n", "sns.regplot(data=heavy,x='battery',y='weight')\n", "plt.xlabel('Capacity (mAh)')\n", "plt.ylabel('Weight (g)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "5SKZU6eHOowk", "outputId": "83161660-5823-49dd-8e06-8165dfaf0b97" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "There is a positive trend between battery capacity and phone weight. There are, however, a few observations far from the regression line that have high capacity batteries but lower weight. Such devices are generally more valuable since they last longer on a single charge but do not weigh much.\n", "\n", "We will now examine several aspects across brands, the first being the distribution of large screen devices." ], "metadata": { "id": "vSVznAJUQTf-" } }, { "cell_type": "code", "source": [ "# number of phones with screen size >6in = 15.24cm\n", "phone[phone['screen_size']>15.24].shape[0]" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "M1gxwq-3BkLR", "outputId": "a7cd9b5d-9873-415e-d734-d6ec1b8f9e6e" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "1099" ] }, "metadata": {}, "execution_count": 39 } ] }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Brands with Large Screen (>6in diagonal)',fontsize=16)\n", "sns.countplot(data=phone[phone['screen_size']>15.24],\n", " x='brand_name',\n", " order=phone[phone['screen_size']>15.24]['brand_name'].value_counts().index)\n", "plt.xticks(rotation=90)\n", "plt.xlabel('Brand Name');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 403 }, "id": "MXZbLMaSQ-Iu", "outputId": "45f52b88-5344-40e4-fb9f-d47de7b62fe4" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "There are 1099 devices in this data set with a screen size greater than 6in diagonally. Huawei and Samsung offer the greatest number of devices with large screens. Panasonic, Spice, and Microsoft offer very few large sceen devices through Mobile Market." ], "metadata": { "id": "GdTuEAITVGEp" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Brands with High-Resolution Selfie Camera (>8MP)',fontsize=16)\n", "sns.countplot(data=phone[phone['selfie_camera_mp']>8],\n", " x='brand_name',\n", " order=phone[phone['selfie_camera_mp']>8]['brand_name'].value_counts().index)\n", "plt.xticks(rotation=90)\n", "plt.xlabel('Brand Name');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 407 }, "id": "yetVGfmO7aEq", "outputId": "971b40fe-5282-48fe-e2ac-1e824c73c24b" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Huawei, Vivo, and Oppo offer the greatest number of devices with a high resolution selfie camera, while Micromax, Panasonic, and Acer offer the fewest on Mobile Market." ], "metadata": { "id": "YwzP3Rh1jbkp" } }, { "cell_type": "code", "source": [ "# logarithmic regression of memory vs used price\n", "plt.figure(figsize=(8,5))\n", "plt.title('Memory Capacity and Used Price',fontsize=16)\n", "sns.regplot(data=phone,\n", " x='int_memory',\n", " y='normalized_used_price',\n", " logx=True,\n", " x_jitter=10,\n", " marker='+',\n", " scatter_kws={'color':'blue'},\n", " line_kws={'color':'red'},\n", " ci=False)\n", "plt.xlabel('Memory (GB)')\n", "plt.ylabel('Used Price (€)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "0aF83BNTDI48", "outputId": "38401a7f-e8c5-4ec4-9afe-952a46144044" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "There seems to be a positive trend between device memory capacity and normalized used price. In particular, price appears to be proportional to the logarithm of memory capacity." ], "metadata": { "id": "x7lkw3RKkFUs" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(12,8))\n", "plt.title('Correlation Heatmap',fontsize=16)\n", "sns.heatmap(phone.corr(),annot=True,cmap='Spectral');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 620 }, "id": "wbiWiN3kDIzw", "outputId": "8e304059-9bab-4af0-cd0c-afd00f858c50" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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OnTszcOBAXF1dC2T7oiVBEARBEARBEHLRFkJLwusYO3YsY8eONVi+cOHC7MfGxsZMmDChULYvkgRBEARBEARByEVjXLRJQlET3Y0EQRAEQRAEQdAjWhIEQRAEQRAEIZfCGLj8PhEtCYIgCIIgCIIg6BEtCYIgCIIgCIKQy3+9JUEkCYIgCIIgCIKQS1HPblTURHcjQRAEQRAEQRD0iJYEQRAEQRAEQchFTIEqCIIgCIIgCILwDNGSILxzmrb2oV6AJy5l7Dh9LIxFs04WdUh6kpLS+WHsCk6eCMbO3pLhw9vTtl1Ng3JnTt9h3txd3LwZjo2NBfsPTtR7vWnAOOLjU5E8uVJRtUpZFi0e9FbqkJIsZ+qPOzl3Kgxbe3O+HNKQ5q0rGJRbufQMu7ZeIyoyBTs7c4I+qcanvWoDEBWZzGdBi/TKy+VZDBzRmK49axd4zEnJGXw/fh0nTt3B3t6SEYNb0a51VYNyWq2W6TN3sX7TWQA+DqrFqKGtMDIy4vzF+/Qd+Lde+Qy5klnTP6NFU3/u3I3il9+2c/1WBElJGdy+PK3A6/HU+7gPcrMxM2FsCz9quxcjSa5k7tFQ9gRHG5STGhsxsrE3Db0cMZEYcfVxEj/vu01smgKATlVdaFvBGc/iVuwNjmLi7luFHvvT+H9o7ccHT+KfcySUPTfzjn9UU28aeeviv/Ioiam7c+Kf2LY8tdwdMJMaE5+uZNnpB2y5+vit1CEtRc78Kbu4ejYMa1tzun7VkHrNyxuU27H6HLvXXyA1SY6ZhYw6TXzpPrAxxiY51wp3rjnPzrXnSUnMoJiTNV//0pFSbg5vpR4Ayy7G8Pf5GDJVGpqVs2NcgAsyE8NrmVci05l9KpKb0XKMJVDTxYrvGrlQwlIKQEqmip+PPOJ4WCoAn1QqxsA6zoUauzJNzuW/txJ7PRSZtQV+nZrgUsc/z7JJYZFcX7Gb5AeRGJvK8G5Xj7LNPwAgeMNBIi/eJu1xLF7tG+Ab1KhQ434qI1XO+hnbCLlwD0tbC1r2bkyVxnnHD6DKUjNzwAIUciVjlg/LXq5Ra9j37xHO772MQq6kWCl7+v3SA3Mrs7dRjQInBi4L/7e+//57goKCqFGjRlGH8loSEzLYuu4a/lWckZq+e4fopIlrkUpNOHp8KsHBEXz15Tx8fF3w8tL/ETK3kPFRxzq0blOdvxbszXNdf877krp1fd9G2Hp+m7IXqdSYrYcGExIczTeD11PO25Gy5UroldNqtYyd3BZPL0ceRyQyvP8aHJ2sadqqPCWdbdl3emR22ccRSXRpt4BGTX0KJeaJUzchlRpz4uA4bt1+zJeDl+Dr7YxXuZJ65dZsOMP+Q9fZsnYYRhjR+6uFuJS2p2unOtSo5sGlU5Oyy545F0r/oUuo/6EuZhMTCS2bV6Jr5zoMHP5PodTjqfdxH+T2dRMfstRaWs49hrejFTM+qkJIbBr34tP1ynWp5op/KVu6/XOGNIWKMc19GRXgzbdbrwEQm6Zg8en7fOBeDNM8TgoLy7fNdfE3n30MbycrZn5chZCYNO7F6cfftYYr/qVt6fq3Lv7vW/nydTNvvtmki3/p6Qf8tOsWWWotZRwsWPBpNW5HpxIcnVrodfh7+j5MpMb8tX0QYSEx/DxqHWXKlcC1rP5xVL1eORq18cfS2oy0FDm/j9nMrnXnadu1FgAHtl7h0ParjJ7+MaXdixH9KAkrm7d3YnciLIVF52NY3NGTEpZShm67z5+noxher5RB2ZRMNZ0qFufDNtYYS4yYfCiCsXsfsiDIE4BpRx+TqdKwp095EjKy+HxjKKVsZARVKFZo8V9bthOJiTEtZo8i+WEUZ35fiY2rEzYujnrlFKkZnJ6+nIqftsC5Znm0KjXyxJTs1y2cHCjfuSkPDl0otFjzsmXOLkxMjBm7egSRoVEsGbcaZw8nnNwd8yx/dP1JLG0tUciVesv3/XuEB7ciGDCjN3aOtkQ/iMVE9u79jr8qjeS/3eHmv137QqRSqYo6BCZPnvzeJQgAF06Hc/FMOGmpypcXfssyMhTs3XeZIUPaYGlpSvXqnjQO8Gfb1rMGZStVcqd9h1q4uBYvgkifT56h5Mj+23wxsAEWFjIqV3OlXsNy7Nl+w6Bst94f4ONXEhMTCW7uxajfyItrlyPyXO/u7depXM0V59J2BR5zhlzJ3v3XGTqwBZYWptSo6kFAw/Js2XHRoOzmrRfo81kDSjrZ4eRkS+/PGrBpa94/uJu3XaBl00pYmMsAKOvuSKegWnh5OhV4HZ71Pu6D3MykEgK8HVlwIhR5lporj5I5ejeWVuVLGpQtZWvO6bAEEjKUKNUa9t2Opmxxy+zXD4fEcuRuHMnyrEKPWy9+H0fmH30Sf4Qu/tYVnhP/vZz4996KxvOZ+O/FpZOl1uq9x8XevNDrkClXcubwbTr3rY+ZhQzfyi7UqOfFsd2Gx1FJF3ssrXUn/VotGEmMiIpIAkCj0bJh8Ql6DA3AxaM4RkZGlHSxx8qm8Ovw1JZbCXxUwYFyxcyxNTOhf+2SbL6ZkGfZ+h42tPC2w8rUGHOphE+rFOfS45zE7vC9ZHpXd8JcKqG0rSkfVSjGpht5r6sgqBRKHp+/iW/HxpiYySjm7UbJqj5EnLxqUPbe7lM4+pfDpW4ljKUmmJibYl0qJ6Fzq1cFp8peGJvJCi3e3JSZSq6fuEWzHo0wNZfhXtGN8h94c/HgtTzLJ0QlcungNRp/8qHe8oxUOSc2n6Hj0DbYO9npjiN3R6TvcZLwXyf23AvI5XK+/fZb7t69i4mJCR4eHsycOZP169ezbNkyAKRSKQsWLCAzM5OOHTvy0Ucfcfr0aTp37kyTJk2YNGkSjx8/RqFQ0KZNG/r37w/AvXv3mDJlComJiWRlZdGzZ086duwIgI+PD8OHD2ffvn0kJSXxzTff0KJFi+fGuX//fmbOnIlEIkGtVvPDDz9Qu3ZtPvvsM/r06UPjxo356KOPUKvVAMTFxVGlShX+/PPPF8YhGAoLi8HEWIK7R85JpI9Pac6fu/tG6/v263/QaLT4+bkw6ptAfH1dCirU5wp/kICxiQQ395xuBJ4+jlw+//CF79NqtVy5GE6Hj/Pu4rN723V69atb4PEChD2IxdhEgkeZnB9TX29nzl24Z1A25F40vj6l9MqFhEYZlMuQK9m9/yrzZ/YulJhf5H3cB7m52Vug1mh5mCjPXhYSm0Y1V8MEZeu1x4wI8Ka4pYxUhYqWfiU5eT/+rcT5PGUcDOO/E5NGNTfD+Ldcfcyopt4Ut5KRmqmiVfmSnLinH/+3zX1o5++MmdSY4KgUToQWfv0iHyZibCzR6xJUxqsENy+F51n++N6bLJq2B3mGEms7cz4bHABAQkwq8TGphIfGMW/STiTGEhq0qsDHfeoheUvdLe7GZ9K4rG32c58S5sRnqEiSq7Azf/GpyoWINMoVy93qoX3mkZa78ZkFGa6e9Kh4JMYSrErmtFTYuDoRf/uBQdnE0AisXRw59tPfpEcnYO/pgn+P1lgUszUo+7bERujiL+GSE79zWSfuXTOMH2Dr3D206BVg0EIQFRaDxFjCteO3OL7pDGYWpnzYoRZ12ht2x31f/NenQBVJwgscP36c9PR0du7cCUBycjJnzpxhwYIFrFy5khIlSpCeno6JiQmZmZkkJSXh7+/Pt99+C0Dv3r0ZMGAANWvWRKlU0qtXL/z9/alduzajRo3i119/xdPTk7S0NDp27EiVKlXw9NQ1l1pZWbFhwwYuXLjAsGHDXpgkzJo1i4kTJ1K1alXUajVyudygzMaNGwF4/PgxPXr0oG/fvqhUqpfGIejLyFBgmatvpbW1Oenpr/8DNG16T8qXd0WrhX+XHaLvF3+yY+cP2NhYFFS4eZLLs7C0NNVbZmVlSkbGi1tuFs87jkarpXWgYT/Vq5ciSIxPp1Gzwuk6lZGhxCpXzNZWZqSnK/Ioq8DqmX1kbWVGRoYSrVaLkVHOF/7eA9ewt7OkVo2yhRLzi7yP+yA3C6kJ6Ur9FtM0hQqLPK4aPkzMIDpVwc6v6qPSaAiNTefXA7ffSpzPYy41IU1hGL/l8+JPUbB7UE7801bpx//L3tv8uu82/qVtqeFmj1KtKdT4QdeSYJ7rOLKwNCXzOcdRveblqde8PJHhCRzddR07B913TXysrrvL1bP3+fXfPqSnKZgybA3FSljTpEOVwq3EExlZGqxNjbOfW8l0j9OV6hcmCbdj5cw7E83s9h7Zyz50t2HRuRimtHAjPkPFphsJyFWFtz9UmUpMzPX3g9TCFFWm4feTPCGFpAeR1Pn6M2xcnLi5dh8X5m6g/g99Ci2+l1FmZmFqoR+/maUpijyOo+sngtFoNFT80JfQK2F6r6XEpZCZriAuIoFvlw4m7lECi75bTnGXYnhVe/vfs0L+iSThBXx9fQkNDWXChAnUqlWLRo0acfjwYTp06ECJErormpaWOU3OpqamtGrVCoCMjAzOnj1LQkJOE2d6ejqhoaE4OTkRGhrKiBEjsl/Lysri3r172SfnrVu3BqBKlSrExMSgUCgwNdX/I37qgw8+YOrUqTRv3pwGDRrg7e2dZ7nU1FT69+/P119/TZUqVbh79+5L4xD0WViYkp6mnxCkpWViafn6fXerVcv5jPt92YItm89y4XwojQOeP1isIJibSw1OrtPTFFhYPL95e8OqC+zedp0/l3ZDlsdJ1K6t12jY1OeF68gPCwsZabliTkvPNDjR1pXV30dp6bq6PZsggK6rUWDb6gbL34b3cR/klpFleEJtaWpChtKwq+U3TX2QGRvRdM4R5FlqPqtZhj86VqHPivNvJda8yLNUWJkaxp878QH4tpkPUhMjAv7Qxd+jdhlmda5Cr2X68Wu0cCUimdYVSvJx1dKsuZB3t7CCYmYuQ57rOMpIV2L2kmPA2dUBF4/iLJq+j1FTg5DJdAN+23evjaW1GZbWZjTpUIVLp+4VWpKwPTiBCQd0n0/1UpZYSCWkKdXZr6c/eWwpM87z/QAPkxR8tfkeoxuVpnppq+zlYxqVZsqhR7Reegs7MxNa+9iz83ZiodQDwMRMhkquvx+y5ApMzAy/n4xlUpyr+WFftjQAPoEN2T3wV7IyMpFaFM3gXpmZFEWGfvyZGQpMcx1Hykwlu/4+QO+fuuS5HpMnx1GTbvWRmkpxLutEpYYVCD53971NEv7rU6CKJOEFXF1d2b59O6dPn+bo0aPMmDGDJk2aPLe8ubl59gmHRqPByMiI9evXI5VK9cqFhIRgb2/Pli1bnruupwmBsbHuC1KlUj03SRgzZgy3b9/m9OnTDB06lN69e9O5c2e9MllZWQwePJigoKDsVgmtVvvSOAR97u6OqNQawsJicH8yoOv27UeU88r/zBlGRrpm8cLmWsYBtUpD+IMEXMvouincvRODh2eJPMtv33SF5YtPM2dJNxydbAxeV2RmcWjfbab8HlRoMbuXKYFapSHsQSzuT7ocBd+JpFweYwe8yjoRfCeSSv5u2eW8PPX7mUdGJXH2/D0mji2arnXv4z7I7WFiBsYSI1ztzAlP0rVeepewMhj0C+DtaM28Y6GkZOpOwNdeiqB/PU9szaVvdRzCsx4kPInf3pzwJ12OvB2tuBdrGL+PkzVzj+bEv+ZCBF81eH78xhIjXOwLt0UQwNnNHrVaQ2R4As6uuuPowd0YXD1ePg5Ko9YS/Uh34lyqjAMmUmMg54SosHPntr4OtPXN6Sb1za4wbsdm0vLJNa7bcXKKWZg8txXhcYqSLzbc5cvaTrT305+BydbMhF9alcl+/seJx/g7Fd7+sCxZDI1aQ1pUfHaXo5SH0ViXNvx7tnF1evZjJteTIlHCRRd/3KN4ipfWxR95LxqnMvrxxz1KIDE6ifmjdJM6qLPUZGYomNT1dwbM6IOzh+438dkLL0VfOyE/xMDlF4iKisLY2JimTZvy3XffkZCQQPny5dmyZQtxcXGArnVAoTBsUrSysqJ69er89ddf2csiIyOJjY3Fw8MDMzMzNm/enP1aaGgoaWlpbxTnvXv38PHxoWfPnrRv355r1wwHG40bN46yZcvSu3dO/+uCjqOgSCRGSKUSJBIjvcfvAgsLU5o1q8ycWTvIyMJxtHMAACAASURBVFBw8WIoBw9cpV37WgZlNRoNCkUWKpUaLVoUiiyUT65SPn6cwMWLoSiVKhSKLP7+ez+JielUq1r4V1vMLWQ0bOLDornHkGcouXopguOH79KireH0m3t33OCv2UeZseATSrvkPRj2yME7WNuYUq1WmTxfLwgW5jKaNanIrHl7yZAruXApjAOHb9KhTTWDsh3aVWPJ8mNERycTHZPMkmVHCWpfXa/Mlu0XqVq5DG6u+rOdaLW6/ZSVpbuK+ew+K0jv4z7ILTNLw6GQWPp9WBYzqYRKpWxpUK4Eu24ajv+4GZVC6wrOWMqMMZYY8XGV0sSkZmafYBsbGSEzfvI3/+SxcSGfpWZmaTh0O5b+9XXxVy5tS8NyJdh5wzD+G5EptKnojKWpLv5O1XLit7eQ0tzPCXOpMRIj+MDDgRZ+JTkXVngDZZ8yM5dRq6E3axceJ1OuJPhqBOePhVC/peFxdGDrFZITdAlQxP04Nv97Cv/quuPF1ExKnSa+bFtxBnm6gviYFA5suUK1D99ei3J7Pwc23ognND6TlEwVC85EE1g+7+lXo9OU9Nlwl65VSvBJJcOE6GGSgiS5CrVGy7H7Kay/Fs+XtQtvMgITUxnONfy4vfEwKoWS+DsPibp0G5e6lQzKutavQtSFYJIfRKFRqbmz5QgO3m7ZrQgalRq1UgVaLVq1BrVShVZTuF3XZGYyKnzoy75lR1BmKgm7Ec7NU3eolqtV28ndke/+HcrQP/sx9M9+dBzWFis7S4b+2Q+7EjYUK+WAe0U3Dq46jkqpIuZhLFeO3MCvllehxl+YNBKjAv//PjHSarWFf+nyPXXkyBF+++03QHfC1759e/r168e6detYtmwZRkZGyGQy5s+fnz1w+cyZM9nvj42NZerUqYSEhAC6rkmTJ0/G09OTsLAwpkyZQmRkJBqNhmLFivHHH3/g4OCAj48PFy9ezO7KlPt5bgMHDuTBgwcYGxtjY2PD5MmTcXNzyx647O3tTUBAAN7e3kieTOdVu3ZtxowZ88I4XqZn4L/5+nyfJ7BLJYK6VNZbtmn1FTavNpwpIr8WbzKcyeRlkpLSGfv9Ck6dDMbWzpIRI3T3STh//i5f9pvLhYu/A3D2zB169Zyl996aNcvxz7/DCAmJ5OuRSwgPj0MmM8HXz4WRIztQ0f/1TvISFG/WneHZOfpt7MzpP1Q3R/+Vi+GMGrA2e1rNTq3mEROTikya0+TfvE0Fvv6hZfbzEf3X4FfRmb6DGrxRLCW0rzYPe1JyBmN+XMfJ03ews7Nk5BDdfRKe3vvg6dSmWq2WX//YqXefhK+Htda7utUy8Fc+79mQTkH6yV3EowSatPlZb1lpZ3sO7vruhbHFGr3+CeG7tA/azHF7o/fZmJnwQwvdPQKS5Vn8efQue4KjqVLajj86VqbRrCOA7sruyAAfark7IJUYERqXzh+HQ7gZpesL37euB33r6ifIC0/eY+HJ+68ci+YNcjkbMxPGtS5P7Sfxzz5ylz03o6niYseszpVp8HtO/KOa+VDb3QGpsRGhsenMOBjCjcgU7Myl/BLkj7ejFUZGRkQlZ7L6Qjibr7z+fRIW9c17oOiLpKXImTd5F9fOhWFla8anXzWiXvPy3LocztSR61h2QNeddO6kHVw+dY9MeRY2duZ8EOBL5771kT3pcpWRruCvn3dz6dQ9LK1MCWhfmY696752d7wKa/e8dh2e+ufJfRIUedwnocOyYPrWcqStrwNzT0cx93QU5lL965znBupOynffSeSXI49IVagpY2fKiHql+NDdsAUuL2Oqdnij2HX3SdhC7PV7yKzM8evcFJc6/sTffsDp31bQ5q8x2WXvHzhHyNZjqJVZOHi7UalHa8yfDFy+tHAz4cev6K27yhcdcKv/6t2+6jq9flKRkSpn/e9bCbl4Hwsbc1r1CaBKY3/uX3/IkrErmbh5tMF7Qq+EsebXzXr3SUiOS2HDjO2E3XiIlZ0lDTvVpXab6gbvfZkgj+6v/Z7C0Gpwwfe02DX7zY6xoiCSBOGNFVaS8Da9SZLwLnnTJOFd8qpJwrvsTZKEd8mbJgnvkjdJEt41b5IkvGvykyS8C940SXiXvEmS8K4RScK7QYxJEARBEARBEIRc3rfuQQVNJAnvifj4ePr0MZwirVmzZgwaNKgIIhIEQRAEQRD+X4kk4T1RrFgxMQuRIAiCIAjCWyKmQBUEQRAEQRAEQc9/vbuRmAJVEARBEARBEAQ9oiVBEARBEARBEHLRipYEQRAEQRAEQRCEHKIlQRAEQRAEQRBy+a+PSRBJgiAIgiAIgiDk8l9PEkR3I0EQBEEQBEEQ9IiWBEEQBEEQBEHI5b9+nwTRkiAIgiAIgiAIgh7RkiAIgiAIgiAIuYgpUAVBEARBEARBEJ4hWhIEQRAEQRAEIZf/+uxGIkkQ3tjiTSWLOoR86xMUVdQh5Ev3OcZFHUK+NTVPLOoQ8k1i+X7vh92DI4s6hHyzv3uvqEPItxtGpYs6hHwzruxW1CHki4W0qCPIv/D0//aJbUH6rycJoruRIAiCIAiCIAh6REuCIAiCIAiCIOSiFVOgCoIgCIIgCIIg5BAtCYIgCIIgCIKQy399TIJIEgRBEARBEAQht/94kiC6GwmCIAiCIAiCoEe0JAiCIAiCIAhCLhKJtqhD4P79+4wePZqkpCTs7Oz45ZdfcHd31ysTHx/Pd999R2RkJCqVitq1azN27FhMTPJ3mi9aEgRBEARBEAThHfTjjz/y6aefsmfPHj799FPGjRtnUGb+/Pl4enqybds2tm7dyo0bN9i7d2++ty1aEgRBEARBEAQhF4lxwbckpKSkkJKSYrDcxsYGGxsbvWXx8fHcvHmTJUuWANC2bVt++uknEhIScHBwyC5nZGREeno6Go0GpVJJVlYWTk5O+Y5VJAmCIAiCIAiCkEthdDf6559/mDNnjsHyQYMGMXjwYL1lkZGRODk5YWxsDICxsTGOjo5ERkbqJQkDBgxg8ODB1KtXD7lcTrdu3ahevXq+YxVJgiAIgiAIgiC8BT179iQoKMhgee5WhNexe/dufHx8+Oeff0hPT6dv377s3r2bli1b5idUkSQIgiAIgiAIQm6F0ZKQV7ei53F2diY6Ohq1Wo2xsTFqtZqYmBicnZ31yi1fvpwpU6YgkUiwtrYmICCAM2fO5DtJEAOXBUEQBEEQBOEdU6xYMfz8/Ni+fTsA27dvx8/PT6+rEYCLiwtHjx4FQKlUcurUKby8vPK9fZEkCIIgCIIgCEIuEmNtgf9/XePHj2f58uW0aNGC5cuXM2HCBAD69u3LtWvXABgzZgwXLlygXbt2BAYG4u7uTufOnfNdf9HdSHirkpLS+WHsCk6eCMbO3pLhw9vTtl1Ng3JnTt9h3txd3LwZjo2NBfsPTtR7vWnAOOLjU5EY6+6GWLVKWRYtHvRW6vAqmrb2oV6AJy5l7Dh9LIxFs04WdUh60lPkrJi+neAL97G0Maf9F42p2aTic8urstRM7bcQRYaSSWuGAJCWnMFfP6wj6mE8Wo0GJ7fiBPVvgmdF10KJOSlFztgpOzlx9j72tuYM/6oR7ZpXMCin1Wr5be5h1m27DECndlUYOaARRka6Y+WHn3dx7vJDHoQnMHlMGz5qUyn7vUqlit/mHWbngVsoFCraNPVjzPBmSE2MC7w+Kclypvy4nbOn7mNrb85XQxrTvLXhPlix9BQ7t14jOjIZWztzPvqkOt161dErs2bFWdYuP0tiQgZOzjb88kcn3NyLFXjMuSUny5ny4zbOnryHnb0F/Yc0pkUbf4Nyy5ecZNfWq0RFJmNrZ8FHn1Sne++62a8HtZxFQnw6xk/ubupfxZWZC7oVWtxLt91i0aabyBUqWtRxY/yXtZBJ897Hp65GMXHhOSJj06nkXZypgz6gtKMVAEmpCiYsOMvJq1EYGRlRr4oz47+shZWFFIBb9xOYtOg8tx8kYWlmwifNvRjQ2fDzyY/UZDlzp+zmytkwrO3M6d6/AfVblDcot23VOXauv0hqkhwzCykfNvGlx6DGGJvorhX2D5pPckJG9neqj39pxs3M/0nG61i6J5S/d95FrlTTooYzP/aolOd+Uao0fL3gAtfvJ/E4Xs4/39allm/xPMsFjTtMeqaKw783L9TYFWlyzv61lahroZhaW1Dpkya4f2i4r6+tP8zNLccwfuY7peXPX2HlZA/Aowu3ubrmAOmxSdi6OVGrb3tsXUoUauwAmalyDs7dSviVe5hZW1CnewDe9Q3jP7vmMBc2HEfyzH7p8lt/bEva65ULPnyFA7O30PirtpRvWq3Q4/9/5unpybp16wyWL1y4MPuxm5tb9gxIBen/NklYtWoVCoWCXr16FXUowjMmTVyLVGrC0eNTCQ6O4Ksv5+Hj64KXl37/OnMLGR91rEPrNtX5a0Hec/3+Oe9L6tb1fRthv7bEhAy2rruGfxVnpKbv3p/Z2lm7MZEaM3X9MCLuRjPv+zW4eDrh7J73j9H+taewsrVAkaHMXmZqLqPb120pUdoBIyO4euIOC8auZeqG4RgbF3wj5cTpe5BKjTm+fQjBIdF8OWodvuUc8SqrH/OaLZfZf+wOW5Z9jpGREX2GrsKllC1dgnQ/VL5ejrRu6sf0uYcMtvHXv6e4HhzJtuVfoFFr+eqbdcxbeoIhXzQo8PpMn7IbqdSY7YeGERIczajBayjn7UTZcvr10Wph3OR2eHo58SgikWH9V+LoZEOzVroEaevGS2zfdIXpcz7BvWxxHkUkYWNjVuDx5uW3ybuQSo3ZcXgEIcFRjBy0Gi8fJ8qWc9QvqIVxkzvg6e3Eo/AEhvVfiVNJG5q1ykmKfp39CbU+KFvoMR+79JiFG2+ydEITHB3MGfTLUWavvsrIz6oalE1MyWTwtKNMGlCbxjVcmLnqCiN+O86aX3T9fGeuvEJyupID8wPRarUM+fUYs9dc5bveullFRs04QdPariyb2JRHsel0G7MXX3d7Amq5FFh9Fv62DxOphL93DCQsJIYpI9dTxssRt7L6J80165cjoK0/ltZmpCbLmf79Fnasu0D7rjkXaUb/+hGVa7kXWGyv4/i1GBbtDGHJN3VxtDNj8OxzzN58m5GdDBMegGpeDvRoVpZhc88/d52Ld93F3lpGeqaqsMLOdmHJTiQmxgTOG0VSWBRHf12JfRknbF0cDcq6fVCBOgM/MlieGhnPqbkbafh1N4p5uRC8/QTHfltF6+mDkBTCd+qzji7cibGJMb3/HklcWBQ7pqyiWBknirkZxl/uwwo0G2o48PapzDQ5FzYcx8G18JObwvYu3EytKP3fdjfq2rXr/0WCoFarizqEApORoWDvvssMGdIGS0tTqlf3pHGAP9u2njUoW6mSO+071MLF1fDq0PvgwulwLp4JJy1V+fLCb5lCruTysWDa9GqIqbkMT39X/Ot4cXbftTzLx0UmcW7/dZp3rau3XCozwcm1GBKJEVotSCRGZKRmkpEiL/CYM+RK9h2+zZC+9bG0kFG9sisB9cqxdfd1g7Kbd16jd5dalHS0wamENb271mbTzpy6detYnTo13DGVGSZvh07c5bNONbCzMcfB3oLunWqwcfvVAq+PPEPJ4f3B9B3YEAsLGZWruVKvoRe7txvug+696+Dj54yJiYQy7sWo38iba5cjANBotCyef4yhXzfFw7MERkZGuLjaY2NrXuAx51WHQ/tv0W9goyd1cKN+I++869CnLj7ln9TBozj1G3tz9Ukd3rbNh+/RsYknXm522FqZMqCTP5sO3cuz7N7T4ZRztaVl3TKYyowZ9Eklgh8kcS8iGYCImDSa1nLFykKKtaWMprVduBuenP3+RzHptGvggbGxBLeS1lTzcyQkPKnA6pIpV3Lm0B269quPuYUMv8ou1KhfjiO7bxiULelij6V1TvJoZGREVERigcWSX5tPhNOxfhm8Sttgaynjq/bebD4enmdZmYmEns09qe5dLLv1KbeI2HS2nYqgX5v898t+GVWmkoizN/Hv1BipmYwSvm6Uqu5D2LHX++6IvBpKCZ8ylPB1Q2Iswa9dPeQJqcTcCiucwJ/IylQSeuYWtbs2RmYuo5SfG+41vLlz5M2++06vOEilNrUws7Eo4EjfPolEW+D/3yfv3iVOwMfHh2HDhrF//36SkpKYNGkSJ0+e5NixY6hUKmbOnImnpyexsbGMGDGC9PR0FAoFDRs25JtvvgFg9uzZZGRk8O2337Jx40a2b9+OjY0NISEhWFtbM3v2bEqUeH6WGxoayuTJk4mNjQWgT58+BAUFsXjxYnbs2IFarcbU1JTx48fj5+f3WnEDbNq0iZUrV6JWq7GysmL8+PGULVuWjRs3snXrViwtLXnw4AG//vorp06deu428zJ79mzu3btHWloaYWFhVKhQgX79+vHzzz/z+PFjmjVrxrfffgvAZ599hq+vL5cuXSI5OZlWrVoxYsSIAtmPuYWFxWBiLMHdI+cGHz4+pTl/7u4bre/br/9Bo9Hi5+fCqG8C8fUtuKtz/89iIhKQGEtwcs3pjlLa04m7Vx7kWX7d7D20/7wRUlNpnq9P+WIh0eFxqFUa6raugrW9ZYHHHPYwAWNjCR5uOTH7eDlx7tJDg7J378fh65Vz9cunnCMh9+NeeVtarf6TqJhUUtMysbYquKvzDx8kYGwi0esS5OXjxKXzee+DnHC0XLkYTuDHuqveMdEpxESnEno3lkk/bMPYWEKrdv706d8AyXNOngquDvEGdSjn/Wp1uHzxIYEf68/hPX70ZrRaLd6+JRk0oglePiULJe67D5NpUjPnu8LX3Y64pEwSUxXYW5vqlw1Pxtc9pxuFhZkJbk5WhIQnU9bFlk9bebNqdwht6pcBYO+pcAKeWXePtr5sOXyPIV0rEx6dxuXbsXwRmPeV8Tfx+GEiEmMJpdxyBjG6l3PkxqW8T66P7bnJgml7kWcosbEzp9eQxnqvzxy/Ha1Wi4e3Ez0GNcLdy/AqcmG5+ziVgKo5+9zX1Ya4FAWJaUrsrWSvvb5JK64zrKMfZrKC7yqYW2pUPEbGEmycc/4W7N2ciLmV99/C44t32Nj3F8zsrPFqXhOvZs90uX3mC0j75F9yeAwlKxZeK1vS43gkEgl2pXLiL+7uxOMbeccfdv4Oi3pOw8LOmkqtalKxZY3s16JDHhET+piGfVtz9+TNQotZeDveySQBdFNEbdiwgV27djFgwAB+//13Ro4cycKFC5k3bx7Tp0/HxsaG+fPnY2lpSVZWFp9//jlHjx6lQQPDrgHXrl1j69atODs7M3bsWJYvX87w4cPz3LZKpWLAgAEMGzaMVq1aAZCYqLviEhgYSJ8+fQA4efIkP/74I2vXrn2tuM+fP8+uXbtYsWIFMpmMI0eOMGbMGFavXg3AlStX2LJlC25ubgA4OTm9cJt5uXHjBhs2bMDCwoKgoCB+++03Fi1ahEqlokmTJnzyySe4u7sDuoRo9erVKBQKunTpQtWqVWncuPEL1/8mMjIUWOY60bK2Nic9PfO11zVtek/Kl3dFq4V/lx2i7xd/smPnD9j8H1y5KGwKuRIzC/2TIXNLUzLlhq0eV44Ho9VoqFzPlzuX8/7BGLOoL1lKFVeO30aVVTgtXxnyLKws9WO2tjQlPcMw5gy5EmvLnOPM2sqUjAwlWq02e1zC89SvXZZla89Ru1oZ1BoN/67TdWWQZ6qwtiqAijwhlyuxzFUfyydxvsjf846i1WppE1gZgNjoVADOnrrHv+v7kZaaybD+qyjhZEOHjobdZwqSPCPLoA5Wr1CHRXOPoNVoafukDgDjpwbh41cStLBmxRmG9V/J6i0DsC6EblMZmSqsLXJOOq2ePE6XZxkkCRmZKhxsctXRQkq6PAuA8mUdyFJp+KDnegDq+Jeka8ucK9eNapRm9KyTLN5yC7VGy4DO/vh7FdxYkUy5Eotc+8DCypTM5+yD+i3KU79FeR6HJ3Bk5w1sHXK+L4eNb4uHj+4Czo41F/hp2Dpmrf5cr/WhMOn2S86FCCtzafby100S9l2IRKPR0qy6M2eDX/0CwZvKylQiNdffD1ILU7IyFQZl3T6oQLkm1TG1tSTh7iOO/7EWmaUZZer6U7JiWa6s3k/0zTCKe7tya+txNCo1amVW4cef6zdBZmGGMtPwOCpXtwIVmlXH3NaS6JBH7P51HTJLM7zrV0Sj1nBk4U4afNEKo0K+SPG2vG9X/gvaO5skPD05r1BB1+/26UlrxYoV2bdvH6DrijNt2jQuXbqEVqslLi6O4ODgPJOEatWqZc8rW7lyZU6efP5A0vv376NSqbJjALC3111Nun79OgsWLCA5ORkjIyPCwsJeO+6DBw8SHBxMp06dAN2VtWdv0V2tWrXsBOFVtpmXevXqYW1tDehaOHx9fZHJZMhkMjw8PHj48GF2khAYGIiJiQkmJia0bt2a06dPF0qSYGFhSnqafkKQlpaJpeXr/whVq+aZ/bjfly3YsvksF86H0jigYAcF/j8yNZeRmaH/45WZrsDMXP+HWCFXsvmvg3w1pctL1ymVmVAjoAI/9Z6PSzknXDzzfzv4Z1mYS0lL1485LV2BpYXhyYOFuYy0Z+qXlq7AwkL20gQBoH+vuqSkZRLY829kMhM6ta/MrTvRFHco2NYRc3MZ6bnqk56mi/N51q86x65t15i3tAeyJ12lZE/Gu3TvVQdrGzOsbczo8HFVTh27W+hJgrmF1LAO6S+uw7ondZi/tGd2HQAqV80Z7N7zi3rs3HqVyxcfUr+Rd77j3HbkPj8u0HVprO5XAgszE9LkOSddTx9bmhu2lFmYmZCWoX+ClibPyi47fPpxfMrY8efohmi1Wqb9c5FvZp7kj1H1SUpV0Peng/zwRU3aNnAnLjGTob8epbitGZ+2yn+9AMzMZWTk2gfydAVmL9gHAKVcHXAtW5yFv+7jm591fct9K+e0gHzU8wMO7bzOzcsR1KxfrkBizW3bqQjG/3MFgOrexQz3y5NxBBZmr3eakqFQMX3tTRYMr11wwb6E1ExGllx/P2TJFUjNTA3KPjsIubi3K94taxN+5hZl6vpjU7o4H/QP5OLSnciT0nD/0B/b0iUwd3jzm2y9cvy5fhOUcgUyM8Pj6NlxBs6+rlRqU4vQUzfxrl+R63vOU6yMEyW9Rav+/4t3NkkwNdX9cUkkEmSynANVIpGgUum+PJYsWUJKSgrr1q3D1NSUH374AYXCMHN/dn1A9g0pXpdSqWTo0KEsX76cChUqEB0dbZCQvErcWq2Wjh07MnTo0Dy3Y2mZc0LyKtvMS+76FkT988vd3RGVWkNYWAzu7rpm7Nu3H1Eu16DlN2FkpGuaFV7O0cUBjVpDTEQCji66bgqP7sUYDFqOfZRAfFQyM4YtA0CtUiNPV/Ddx38wak4vipW0M1i3WqUhPjKxwJMEdzcH1GoNYeEJuLvqYr59NwYvD8MxK+U8ihMcEkOl8qVeWC4vZqZSxo1swbiRLQBYs/kS5X1KFnjXHbcyDqhVGsIfJOBaRlefu3di8PDMuwvk9k2X+XfxKeYu+QxHp5wThjLuxZBKjXV/AE+8SjJUENzKFHtSh3hcy+iujofcjjYYeP3Utk2X+ffvE8xb2hPHki8+6TEyIle/rzfXrqEH7Rp6ZD8fOeM4wWGJtPpQ10Xodlgixe3MDFoRAMq52rL5mfEKGZkqwqPS8HK1BSA4LJFxfWtmn8h2aeFFt+91F4PCo9MwlkgIbKzrJlKyuAWt67lz5OKjAksSSrnZo1FreByeQKknfxdhIbG4ln358a5Wa4h69PzxEbrDqPC+U9vVcaFdnZyTyVHzL3A7PIVWtUoDcPthMsVtTF+7FeFBdDqP4zP4bOoJALLUGlIzsqg/dA+rf6hP6eIF39psXbIYWrWG1Mh4rJ90OUp6EP1KsxLp/lpzPmfX2uVxra3rkqZMz+Te4UsUK1u6wGN+ll2pYmg0GpIex2d3OYoPi36lgcfPft9EXL3P45sPWHwxBNDN+BR3P4q4+9E06Nvqeat4p73JlKX/T97rgcupqamUKFECU1NToqOjOXDgQIGs18PDAxMTE3bt2pW9LDExEaVSiUqlym6RWLly5RutPyAggC1bthAVFQXoWkSuXzccgAkU2DZfZOvWrahUKjIyMti1axcffPBBgW8DdC0JzZpVZs6sHWRkKLh4MZSDB67Srn0tg7IajQaFIguVSo0WLQpFFkqlLsl6/DiBixdDUSpVKBRZ/P33fhIT06lWtfBnRnlVEokRUqkEicRI7/G7wNRcRuV6vuxYegSFXEno9XCunrxDrWb6rTDOHo5MWj2Y7/76gu/++oJPR7bB2t6S7/76AvsSNty/+YjQa+GostQoFVnsW3WS1MR0yvgW/A+ahbmMZg19mLXwKBlyJRevRnDgWAjtWxpOGRrYqiJLV58lOjaV6NhUlqw6S1DrnLops9QoFCq0Wi0qlQaFQoVGo/shePoerVbL5euPmLf0BIO/qF/g9TG3kNGwiS8L5x5BnqHk6qVwjh2+Q8u2hi1he3ZcZ/7sw8xc8CmlXfSnGTQzl9KkRXlWLDlFerqCmOgUtmy4xIcNCn+wprmFjEZNfVn4p64OV15Yh2vMn3WQWX91M6hDVGQyVy6Fk/VkvyxfcpLkJDmVqhbOVLqBDcuy4UAod8OTSUlXMm/ddYIa5/3d0ay2KyHhyew59RCFUs3ctdfwKWNHWRddklCxXDHW7b9LpkJFpkLF2r138S6jS549Stmg1WrZdvQ+Go2W2EQ5O088wKeMfZ7behNm5jJqN/Jm9cLjZMqVBF+J4NyxEBq2NJwaeP/WKyQnpAMQfj+OjctO419DlyjFRqUQfCWCrCw1SoWKzcvPkJosx7fS27si3OFDVzYcfcjdR6mkZGQxf1sIgfWefwwos9QonnRvzFJpUGSp0Wq1eJW25uBvoGRL9QAAIABJREFUzdg4sSEbJzZkYq/KFLM1ZePEhpR0KJwB/SZmMlxq+nFt/WFUmUpibz/k0YXbuNevZFA24nwwyjQ5Wq2W+LuPuLPnLKWr+2S/nnDvMRqNhsyUdM4t2kap6j7YlC7cCTykZjLK1vbj7OrDZGUqiQx+yP1zt/FuaBj/vbO3yXwSf3TII67uPItHTV38TQZ3oOvMAXwy/Us+mf4ljp6lqNmpAbU/LfieCW+LGLj8Hvvss88YOnQobdu2xcnJiTp16rz8Ta/AxMSEuXPnMnHiRObOnaubRrFPHwIDAxkyZAgff/wxdnZ2tGjR4o3WX7NmTYYNG8ZXX32FWq0mKyuLli1bUrGi4QmPlZVVgWzzRcqWLUuXLl2yBy4XRlejp34Y9wljv19B/Q+/w9bOknE/foKXlzPnz9/ly35zuXDxdwDOn7tLr56zst9XtfJwatYsxz//DiM9XcH/2LvvsKbOt4HjXwgrYYsCKgoKiHuP1i1uBRVHtbbW1ta9WrWtq9raWvVXta3zdW/rqtZRta66rXtWUUFFUEBlCgk77x9oMAS1CgHH/bkurgtO7pzcT8hzznnOMzLh27WEhj7AwsKMsuXcmDe/Pw6OeThoPJfavVeJgG5ZY67rNS7NpjXn+WNN3q+U8zK6Dm3Fqp+2MarzL1jbKek6tBVFPYoQdOE2c0atYfqfX6FQmGJXKOs9VdkqMTUx0W1LS01jw6xdPAiPRWFmSrFSzvT/sSsOhW2NkvO4L1syZuKf1Gs7Awd7JeO/bIl36SKcOhdKn+FrObN3RGbZOlQj9G4s7T5cCEDndlXo2iFr6M2nn6/RTXg+e/EO46bsYNms7tSp7s7tsBi+/n4b0TGJuLrYMbx/Y+rXMU7j88sxrZg4fhttm/yCvYOSL8e0orRXEc6duc3wAWvY+0/mIgzzZ+0nLk7Dp90X657bsm1FvvqmDQDDR7Vk8oTttG82AxtbS9p1rIZfQJUcXzOvjRjThh/HbaFN4+mPytCa0l7OnDt9m2EDVrPv+EgA5s3MLEOv9xdllcGvEl9/0xZ1YjI//bCdO6ExWFia4e3jwvQ572PvYJz5RQ2qF+PTDuXpOW4PSSlptHinJIO7ZV0M+Q3dRt+OFfBvVIpC9lbM+LIB3y88xVe/HqWytxPThtfXxf448B1+WHSKRr03AVDJy4nJgzPPQzYqc2Z+3ZCpy8/y3fyTWFkoaFKzOP27PP37SF5G7xHNmf3jDnq1mY2tvRV9vmxBydKFuXwulInDNrBqX+bcu8ALd1j9f4dI0qRi56DkXV8f3u+T2QDWqFOY99NuIu/EYm6hoJS3M2Omd8Y2H1bJeqxBJWc+bePFx/87QlJKBi1qFmVwh6yLZ78xf9PXz1vX+9B61D7uRmWupPbZtH8A2PNTM4oXVlHEPmsIq4ONBaYmJnrbjKFGr7acmLeZTf2nYmmjpEavtti7OXMvMISDU1bRecloAG4f+5cT87eQkZqGspAd5fzrUaphVd1+zizfSeztSEwVppSoU55qH+b9OT8njXq3Yd/sLSzuNQ0rWyWN+rTBqaQzdy+HsHXiavquGgVA0OFL7Ju9hfS0NGwK2VGtQ13KNsk83lhaW2H5xMhMUzMFFipLLF9iSLF4NZhotXnUpyteSz169KBXr14v1TBI1+42Qkb5q1dAREGnkCsfznr9q28zZUZBp5Br0davdacsJiavd/4AjkE5L2P6Ovm3qHGHleSH8oGBBZ1Crnxnady5PPnByfL1Py8MqWi8L1N8EW1WbM3zfW7v4Z/n+zSW1//MIIQQQgghhMhTr/Vwo9xav349K1euNNg+efLkZ34PwasgKipKtyzqk5o3b86gQYP+835WrFiRl2kJIYQQQrwRXrc5BHntrW4kdOnSRbcM6evGycmJzZs3F3QaQgghhBBvJIWsbiSEEEIIIYQQWd7qngQhhBBCCCFy8rYPN5KeBCGEEEIIIYQe6UkQQgghhBAiG+lJEEIIIYQQQognSE+CEEIIIYQQ2Zi+5asbSSNBCCGEEEKIbEzf8vE2b3nxhRBCCCGEENlJT4IQQgghhBDZyMRlIYQQQgghhHiC9CQIIYQQQgiRzdvekyCNBPHSopPDCjqFXPtwlqKgU8iVlYNMCjqFXKu4OrmgU8i1w3dsCjqFXPF2eP3/B45FXAs6hVybdMy+oFPItXE/XyvoFHIlaWK1gk4h14o6FHQGb463fXUjGW4khBBCCCGE0CM9CUIIIYQQQmTztg83kp4EIYQQQgghhB7pSRBCCCGEECKbt70nQRoJQgghhBBCZPO2NxJkuJEQQgghhBBCj/QkCCGEEEIIkY0sgSqEEEIIIYQQT5CeBCGEEEIIIbKROQlCCCGEEEII8QTpSRBCCCGEECIbhUlBZ1CwpJEghBBCCCFENqZveSNBhhsJIYQQQggh9EhPghBCCCGEENm87cONpCdBCCGEEEIIoee17UnYuHEj+/fvZ8aMGQD8/PPP/PXXXxQqVIhRo0axdOlSpk2bVsBZiuzi4zRMGr+dk8duYe+opO+QRrRoU8EgbvXS4+zYcpGI8HgcHJQEdK1O94/rABARHkePgIV68RpNKgOHNeH9nnWMXobEeA2rpm4j8PRNrO2UtPusCbWaVnxqfFpqOpP6LCBZncIPa4cAkBCnZv4364m4HYU2IwOXkoUJ6NcUz4oljJ7/f9WsjQ/1fT1xc3fgn0O3WDjjaEGn9FTxcRr+990uTh0Lwd5BSe8h9WnWupxB3PqVp9m45hxxsRqUSnOatPSh3+cNMTPL//sl6ocaNv2yhaAzN1DZqWjxsS9VmlR6anxaajqzB80jWZ3MVyu+0G0PPneTnYt2E303GpW9ioZd6lGrdY38KAIJ8Rr+78cdXDhxC1t7Je/3b0T9FuUN4v5cc5KdG07zMFaDlcqCd5uW5cOBTVCYmfIgIp5hH+jX52RNKh8OaoJ/99pGy33p2tMsXH0CTVIaLRt78+3wZlhY5HxKPHYqhAk/7yU88iGVyxdl0uhWFHe1AyAlJY1vp+3hr/3XUVqZ8en7tfikW00AwsLjaPbeQlRKc92+PuteiwEfv5tn5bA2N6d35ZpUKuxCQkoya69e4ujd0BxjPewc6FG+Ch72jiSnp7E5KJC/bgUB4O3oRI/yVShmY8t9dSJLLp3lWkxUnuX5Xzh2akehrh0xsbQk4dBRIn+dizY1zSDOzMUZz1ULyNBodNui12wkatU6AFy/HIKdb0O0aVnPvd6+O2RkGC33lAQNZxdt4d7FYCxsVZTv0pQSdXOuz7G3wrm4aiext8Ixs7SgjH99PFu+A8DlDfuIOHOVh3fvU6ZdQ8p1bGy0nJ/0JhyPjOFt70l4bRsJ2S1ZsoT9+/dTqFAhgDeigZCeno5CoSjoNPLUtB93YW6uYMvfg7keGMlXgzfgVcaZ0l5F9OK0Wi1jJ/rh6e3M3bAYvui3FmcXW5q1Lo9rUXt2/zNcF3s3LJZu/vNo3MwnX8qwbsZOzMwVTNrwOWFBkcwdsxY3TxeKehTJMX7PumPY2KtIVqfotlkqLfjgSz+KFC+EiQlcOHKNeWPXMen3L1AoXo0OvphoNVvWX6RS1aKYW77ah4pfJu3D3FzBxr39CLp6n1FDNuFZpgilPAvrxdVt5Emr9hWwtbUiPk7D+C+3sfG3s7zXI/9PYlvnbEdhpmDk6uGE34hgxfjfcC3tgou7c47xh38/ispORbI6WbctPS2d1T+so2WvZtRqXZ071++yeORy3HyKU7S0q9HLsGjqbszMFczfNohb1+8xecR63L2KUKK0fl2oUd+Lxm0rYW1rRUK8humj/2DH+lP4vV+bwq52LN87TBd7724sQ96bT50mxqvPh47fYsGqEyz9tQvOhW0YNHozMxcfZXi/hgaxMbFqBo/dwg9ft6BJXU9+XXiEYeO3sXZedwBmLj5GSFgs+zb05kFUIj2HrsOrlBMN6pTS7ePE9kFGa4h+XKEa6RkZDNizFXc7B76sVZ+Q+DjuJMTrxdmYW/BV7fqsvHyeExF3MDMxpZBSCWQ2NIbXrMvii2c4GXGHusVLMqJWPT7ftwN1WqpR8s5OVbMahbp1InTEWNKioin+3SicenbnwcLlT33Osy78o9dt4sGSVcZK18D55dsxVShoPWsEcSERHJu+GvuSLti56dfn5Idqjv60kkoftKRYrfJkpKWTFJ31v7JxKUSFrs24ue90vuUOb8bxyBje9kbCq3E1Amg0GoYMGUKbNm1o164dQ4cOBWDTpk106dKFjh078tFHH3Hjxg2D53bv3p3k5GR69uzJlClTOH78OB07dtQ9fuDAAbp160bHjh3p2rUr586de2YukZGRDB48GH9/f/z9/Zk3bx4AW7dupUuXLnTo0IEOHTpw7Ngx3XN8fX35+eef6dq1K40bN2br1q0sXbqUzp0707x5c06ePPncfI4fP46/vz+jRo2iffv2HDx48JmvmZONGzfSq1cvhg4dSqtWrejZsydBQUH07t2bli1bMnz4cLTazC8HGTlyJGPHjqVbt260bNmSsWPHkpKS8sz954ZGncKBPVf5bGBDVCoLqlQvQf1GXvy17V+D2A8+eQefcq6YmZlS0sOJBo29uXguLMf97tx2iSrVS1C0uIPRcn8sWZPCuUOBtP24EZZKCzwrlaDSu96c2H0xx/gH4bGc3HOJFu/X1dtubmGGSwknTE1N0GrB1NQE9cMk1PGaHPdTEE7/E8qZ46EkPDTeZyIvaDSpHNx7nV4D6qFSWVC5WnHqNvJk17YrBrHFSzhga2sFgFYLJiYm3AmNze+USUlK4fKRKzTr0QRLpQUeFUpStk4Zzu27kGN8dEQM5/++SKP36ult1zzUkKxOpqpvZUxMTHArU5wiJYpw7/YDo5chSZPC8f1Xea93A6xUFpSt4kbN+t4c2mlYn13dHLF+8n03NSEiLOf3/cCOS5SrWgLnovZGy/2Pnf/SqW1FvEsVxt7WigE932HTDsO8AXYdDMKrlBOtmvhgaWnGoF51CQy6z42QKN2++vd8B3tbKzw9nOjiX5lN23PeV16zVCioXdSN9df+JTk9nWsxUZyJvEv94iUNYtuULsPF+5EcvRtKWkYGSelp3E14CEAZx8LEJSdxIuIOWuDIndvEJydTq2jxfCkHgH2LJsTt2E1KSCgZCYlErVyHfQvffHv93EhLTuHuycuU69QEMysLnHxK4lrNh9AjhvU5eOcxnCt5UaJuZRTmZpgrLbEtntWoLtmgKi5VvDFTWuRb/m/C8ehNdvPmTbp27UrLli3p2rUrt27dyjFu+/bt+Pv74+fnh7+/Pw8e5P59f2VuDx4+fJjExES2b98OQFxcHKdOnWLHjh2sWrUKCwsLDhw4wOjRo1mzZo3ec1evXo2Pjw9r1qzB2tqa48eP6x67ffs2c+bMYdGiRdjY2HD9+nV69+7N/v37n5rLiBEjaNSoETNnzgQgOjoagPr16+Pn54eJiQk3btzg448/5uDBg7rnpaSksHbtWi5cuMBHH33El19+yYYNG9i+fTvTp0/nt99+e24+QUFBTJgwgWrVqgEQExPzzNfMycWLF9m6dSuurq707duX4cOHs2LFClQqFQEBARw7doy6dTMvWs+fP8+aNWuwtLSkT58+rFu3jg8//PA//MdeXGhINAozU0p6FNJt8/Rx5typ2898nlar5fyZUNp3rpbjYzu3XuLjPnVzeGbeuxcWjanCFJcSTrptxT1dCDofkmP8+pl/0e7Txphbmuf4+I+fLSAy9AHpaRnUbVMVW0dro+T9JgsLiUFhZkoJd0fdNs8yRTh/OudG5Z4dV5g+cS/qxBTsHZQMGNYov1LVeXAnClOFKYXdsj5HRUu7cPNizp+jP+fupHlPX8yyfY5sHG2o3KgiZ3afo3abGoRdu0PsvVjcKxh/2Fr47RgUClOKlcyqz+7eRbh8NuehLod3XWbh//5Co07B1kFJj8GGF4BarZZDO/6l4yfGrc9BN6NoWt9T93dZryI8iFYTE6fB0V6ZLfYBZT2z7qaqlOaULG7P9ZtROBWy5n5UImWf6An18SzCnkNBevvw7bIAExOoW9OdrwY0xNFBlSflcLW2JV2bQURigm5byMM4yhUqbBDr5VCI0IdxjK/bBBeVNcGx0Sy9dJaopMwbEybo3zI1MYESNsZrqGVn4V6ShKMndH8nB9/ErJAjpna2ZMQ/zPE5pVcvBK0W9enz3J+/hPQn4hz8W+Pg35rUiEiifttAwqFn32DLjYTwzPpsUzSrPtuXdOFBoGF9jg4Kw66EMwcnLCIhMhpHTzeqfNQGVeH8e6+zexOOR8byKiyBOn78eLp370779u3ZvHkz48aNY/ly/R62ixcvMmvWLJYtW0aRIkV4+PAhFha5b2i+Mo2EsmXLEhwczHfffUft2rVp3Lgx+/btIzAwkC5dugCZJ5D4+Pjn7EnfoUOHuH37Nh988IFuW1paGg8ePKBwYcMDaWJiImfPnmXJkiW6bY+HMIWGhjJ8+HAiIyMxMzPjwYMH3L9/nyJFMk8Qbdq0AaBChQpoNBpat24NQMWKFbl9+/Zz8wFwd3fXNRD+y2vmpHr16ri6ZnbtlStXjuLFi2Nnlzl+tmzZsoSEhOgaCW3atMHaOvPCtEOHDuzatctojQSNJhVra0u9bTY2lqjVz75TvXjuYTK0Wtp0MBwfeeFsGDFRiTRuXjZPc32aZE0KVir9MiitLUnSGJbh/OFAtBkZVKlflmvncj7Yjl7Ym9SUNM4fvkpaarpRcn7TadQpqKz1D4Y2NhaoE3P+XDVrXY5mrcsRFhLDX9su4+iUNxdsLyJFk4Jlts+RpbUVyTl8ji4fDSQjI4Pydcty48Itg8crN67Apl+3sX3eTgD8B7XFoYjxLziSNCkos9VnlbUlSU+pz/VblKd+i/KEh0ZzcMclHAoZvu+B58OIjUnkHSMONQJQa1KwtcnK3ebR74nqFINGglqTSiEH/W021pYkqlN0xy7bJ94HWxsLEh9td7RXsn7BB5TzciY2XsOE6XsZMWE7i6Z3zpNyWCnM0GQbs69JTcXKzPCmRCErJR72Dkw+fojQh3G8X7YSg6rV4btj+7keE4WDlRXvFivBifAw6hYribPKBot8HO5qqrQiPTFR93d6ovrRdqVBIyE9Lp5bA4aTHHQDhZ0tLkP6UXT0cMJGfgtAzKZt3Ju3hIyERKxrVqPY2C8Ji45B82+gUXJPS07BTKlfF8yVlqQlJRvEaqLjiQ0Jp95XPbBzc+Hftbs5Nfd3Gn7Tyyi5/RdvwvHodRIfH5/jtaydnZ3uWu2xqKgoLl++rLsm9fPz4/vvvyc6Olp3bQqwdOlSevXqpbs2tLW1zZNcX5lGQokSJdi2bRv//PMPBw8e5Oeff6Zp06Z06tRJN/ToZTVo0ID//e9/uc5x2LBhjBw5kmbNmpGRkUGVKlVITs46CFhaZlayx/MIHv9tampK2hMTqJ6WT3BwMCqV/onzea+Zk8ev+ziX7H+npxfMxahSaU5ion7uiQnJqFRPb+3+/ttpdm69xOylH+Q4qXDHlos0aubzzH3kJUulBUlq/TIkJSZjla1rOFmTwh/z99H/x27P3ae5hRk1fSvw/Sf/h5uXC26eLnma85tOqTJsECQmGDYcsnNzd8TD04lfJu3l+2ntjJmiAQulhd5YXoBkdTKW2T5HKUkp/LV4Dz2+ez/H/dwPfcDayRvpPrYLntU8ibobxcpv12BXyAaf2mWMlj+AldICTbb6rE5Mweo5dbFoiUK4lSrMwqm7GTEpQO+xAzsuUaexz3P38aK27rrC+Km7AahRuTgqpQUJT3xmHv9uncPrqpTmerEACeoUrFUWuuNOgjoFy0fzdhISU3T7sVZZUKls5g2bwoWs+eaLpjTo8H8kqFOwyYMyJqWnoTTXPy4qzcxIymEeQUpGOqci7nIjLgaAjdevMK9FO5RmZiSkpjD91FG6l6vMxxWqceF+BP8+uEd0kvGGP9r6NsL1i/4AqC9eJkOThOKJ85+pdebvT05OfkyblETytczemvTYOCJnzsNr/TJMlEq0Gg3JQVnDkhNPnCZ+7wFs6r9rtEaCmaUFaRr9upCalIyZlaVBrMLCnGI1yuFYOnMoV9kOjdg+8CdS1UmYq6yMkt/zvAnHI2MxxpyEZcuWMWvWLIPtgwYNYvDgwXrbwsPDcXFx0V1XKhQKnJ2dCQ8P12skBAcH4+bmxgcffIBaraZ58+b0798fE5PcFeCVmZMQERGBQqGgWbNmjBo1iujoaHx9fdm8eTMRERFA5kTeS5cuvdB+69Wrx6FDh7h+/bpu24ULOY+zA7C2tqZatWosXbpUt+3xcKOHDx/i5uYGwO+///5S4/dfNJ+8eM1n2blzJ2q1mrS0NDZv3sw777yTp/t/Ugn3QqSnZRAaEq3bFnTtHqU8c+4V2bbpPCsX/8MvC97H2cXO4PHkpFT+3n2V1v5PX1korzm7FSIjPYN7YVlluHPjnsGk5ft3oomKiOPnz5czqvMvLPx2A3HRCYzq/AtRETmPxU5PyyAqPMao+b+J3NwdSU/LICwk670LvnYfj9JOz3hWpvT0DO4WwJyEwsWdyEjP4MGdrNVjIm5E4uyu/zmKuhNNTGQsC79ayuQPpvHbD+t4GJPA5A+mERMZS2TIPQoXd8K7hhempiYUcStMmVreXDsVbPQyFC3pSHp6BuGhWXUhJOgeJUoZ9tBml5GuJfKO/mc9JTmVf/YF0qh13tdn/xblOLNrCGd2DWHB1E54lXIiMOi+7vGrQfcpXEhl0IsA4FWqsF6sWpNK6J1YvEs5YW9rRREnawKD7unty9sj58/e4/O1NkObJ+WKSHyIwsQUF5WNbltJOwfCHhrepQyNj0NL1us++TtAYPQDxh3ZR9/dW5h7/iRFbWwJjo3Ovps883DfAa77d+O6fzfujJ5ASshtLEtnTfa2Ku1BWnTMU4ca6Xk0z87kqWNDtFlvvhHYFM2szwkRWfU5/nYkdsUNz212JbLdBDJiXv/Vm3A8MhaFSd7/9OzZk7179xr89OzZ86XzTE9P5+rVqyxZsoQVK1Zw8OBBNm/enOvyvzKNhKtXr9K1a1fatWtHly5d6NOnD7Vq1eLzzz+nf//+tGvXDj8/P/bu3ftC+/Xw8OCnn35izJgxtGvXjtatW7N27dpnPmfq1KmcOXMGPz8/2rVrx4YNGwAYNWoUAwYMICAggNDQUBwcXnyi7Ivmkxev+SyVKlWiV69etGnThqJFi/Lee+/l6f6fpFRZ0KipDwvnHEKjTuHC2TAO7w+ipZ/hEqi7/vyX+TMP8vO8rhR3y7nMB/Zdw9bOkuq13Y2Wc3aWSguq1C/Ln0sPkKxJIfhSKBeOXqN2c/2hUEVLOfPDmsGMmv8Zo+Z/RvfhbbF1tGbU/M9wLGLHzct3CL4YSlpqOinJqez+7SgPYxJxL5t/EwWfx9TUBHNzU0xNTfR+f9UoleY08PVm8dyjaDSpXDx3hyMHgmnhZ7gE6raNF4mJzhzGcCs4itWLT1K9tuEkT2OzsLKgfN1y7F25n5SkFEL+vc2Vf65S1beyXpyzhzNfLvucgTP7MnBmXzoM9cfGwZqBM/tiX9iOop6uRN2NIvjcTbRaLVHh0Vw9cQ3XUjmvSJKXrJQW1G5UhnULDpOkSSHwQhinDl2nQSvD+rx3y3niojOHkoTdfMAfK45RqYZ+vT1x4Do2tlZUqGH8/0eHVuX5/c+LBN2MIv5hEnOX/0NAa8O8AZo38OL6zQf8tf8ayclpzFl6DB/PIpR2d9Lta+6y48Q9TOJGSBTrt14k4NGyzuf/DefG7WgyMrTExGmY+Os+alcroTfUKTeS09M5GXGHzmXKY6lQUMbRiRouxTh8x3Ce14GwW9RyLY67nT0KExMCvMoTGP0AzaNebnc7BxQmJijNzOherjLRGjUXH0TmSZ7/Rdzuv7Fv3QyLkiUwtbam0AfvEbdrX46xVmXLYO5WHExMMLWzxXlQH9TnLpLxaIiSTYO6mFhZgYkJqhpVsWvamIRjJ3LcV14ws7SgWM1yXNm4n7TkFKKu3Sb8zFVK1KtsEOvesCrhpwOJDYkgIy2dq5sP4FSmpK4XISMtnfSUNMjQos3IID0lDa0Rl26FN+N49Dqxs7PDzc3N4Cf7UCOAokWLEhkZqRsBkp6ezr179yhatKheXLFixWjVqhUWFhbY2NjQtGnTZ96A/q9MtI+XuhFvnZEjR1KxYsWXnoNwP2nJ84OyefJ7EuwclPQbmvk9CefPhDJiwDrd0qZdWs/l3r2HWJhnjYlt0bYCX37TSvf3sH5rKVexKL0HGS5b+F+de/DiY24T4zWs+mkbgWf0vych6MJt5oxaw/Q/vzJ4zrVzISyftFn3PQnXz4ewYdYuHoTHojAzpVgpZ/w+aYRX5Re7QFo5yHgX7R26VSagWxW9bZvWnOePNbk/8Dxp8mp1rvcRH6dhyre7OP1PCHYOSvo8+p6EC2fC+GrQJnYezezCnTz+L44fvolGnYK9o4rGzb3pNaCebqjIyzocbvP8oGzUDzVs+nkLQWdvoLJT0uLjplRpUolbl0JYPm414zaOMnjOjQu32PDTJr11yS8e/Je/fztI7L04rFSWVGlSieYfN32hBp23w7OHMD5NQryGuRN3cPHkLWzsrejevzH1W5TnyrlQJg1fr1vadM4Pf3Lu2A2SNKnYOSh5x7cs7/VugMUT7/vEz9fiVb4oXfu8XH2ukm64nv6zLFlzioWrT5KUnEaLRt58NyLrexL8eiylb486+LfIbGgePRXC9z/v5W7EQyqXd2XS6Fa4PVp96cnvSbCyNOOz7lnfk7BtzxV+nn+Y6Bg1NipL6tZyZ0T/hhRxynmBgg9PFspx+7NYm5vTp3JNKhZ2ISE1hbWBFzl6NxQfx8J8Vbs+n/71hy62acnSdPDe4mbdAAAgAElEQVQuh6VCwdXoByy5dFY3pGhg1dpUdc688LhwP4Jl/54jPuXFPxfjfl7xws95zLFTOwp164SJhQUJh44R+esc3fckeCycSdTqDTzcdwDbJg0o3KsHZg72ZKjVJJ45z/35S0mPyewVLPHzj1iW9gBMSI2IJPq333m4/9B/ymHxxK4vlXtKgoYzCzdz/9INLGyUlH+vGSXqVuLB1RCOTV2F/4LRutibe09ydcsh0pNTKVSmJFV6tkHllPl5Oj3/D0IPn9fbd7Xe7XFvUPU/51Kz8Itf1r1KxyOALp4fPD8oH4w/vTrP9/ldje4vFN+jRw86d+6sm7i8YcMGVqzQr2dbt27lwIED/PTTT6SlpdGvXz9atmyZ6xu/0kh4ixVEI+FV8zKNhFeJMRsJ+SUvGgkF7WUaCa+Sl20kvEpetJHwKnqZRsKrJjeNhFfByzYSXiUv00h41UgjIUtwcDAjR44kPj4eOzs7pkyZQunSpenduzdDhgyhUqVKZGRkMGXKFA4ePIipqSn169fn66+/xtQ0dwOGXpmJy/ntwIEDTJ8+3WD7sGHDaNQo/5dEfFEdO3Y0mIBcpUoVJkyY8J/3MXny5LxOSwghhBDijfAqfJmap6cn69evN9i+YMEC3e+mpqaMGjWKUaMMe3xy461tJDRq1Oi1aAw8zcaNGws6BSGEEEKIN9ar0EgoSK/MxGUhhBBCCCHEq+Gt7UkQQgghhBDiaV7BBf3ylfQkCCGEEEIIIfRIT4IQQgghhBDZKExe/5WickN6EoQQQgghhBB6pCdBCCGEEEKIbN721Y2kkSCEEEIIIUQ2b3sjQYYbCSGEEEIIIfRIT4IQQgghhBDZyBKoQgghhBBCCPEE6UkQQgghhBAim7d9ToI0EoQQQgghhMhGGglCvKQi2kIFnUKuNVPGFHQKuVJxdXJBp5BrI7urCjqFXFu2qVhBp5A72oyCziDXtNEhBZ1Crs1unlrQKeSabYJDQaeQK9/WsC7oFHJNy9v9BWAi70gjQQghhBBCiGxk4rIQQgghhBBCPEF6EoQQQgghhMhG5iQIIYQQQggh9LztjQQZbiSEEEIIIYTQIz0JQgghhBBCZCM9CUIIIYQQQgjxBOlJEEIIIYQQIhtZAlUIIYQQQgghniA9CUIIIYQQQmTzts9JkEaCEEIIIYQQ2bztjQQZbiSEEEIIIYTQIz0JQgghhBBCZCMTl4UQQgghhBDiCdKTIIwuNk7NmG/Xc+TYNRwdrRk2uDX+baoZxGm1Wqb+uoMNm04A0DmgNiOGtsbExIRTZ27Se+AivXi1JoUZU3vQslklrgVFMGXaNi5dCSM2Vs3Vc//Lu/zjNYz9cTtHTtzE0V7JF/0b49+iQo75T5uzn/VbzwHQxb8qwwc0xsQk81bEN5N3cPLcbUJCo5k4ui0d21bWPTclJY1pc/ezfe8VkpPTaNusHKO/aI65mSLPyvEs8XEa/vfdLk4dC8HeQUnvIfVp1rqcQdz6lafZuOYccbEalEpzmrT0od/nDTEze/XuNzRr40N9X0/c3B3459AtFs44WtAp6YmNTWTM2OUcOXIFR0cbhn3RAX//2gZx//xzldlz/uTy5dvY26nYt+9H3WNRUfFMnLiOEyevo9Ek4+1djFEju1ClSql8LMNKjhy9gqODDcOGtcffr5ZhGY5fZfac7Vy+HJpZhr0/PFGGh0z8cb1+Gb7uZLQyxMZrGDtpB0dO3Mqsz/0a4d+ivEGcVqtl2twDrN96HoAu/lUY3r9RVn2espOTZ0MJCYtm4qg2dGxbSffcjX9eZOzkHVhZZp1i5/6vM3Wql8zz8sTFqZk4bgvHjwXj4KBiwNCmtHzi2PLYiiVH2L7lHBF347B3VNGpay16fFLPIO7MyVv077WUT3o3oN+Qpnme77MsOxrOwsN3SUrNoEX5Qoz3L4VFDseW86EPmbE3jH/DE1CYmFCrlB1j2nhQxNZCLy4lLYOOcy6QmJLB3yOqGzX3uFg1345bz7Gj13B0sGbw561p42d4njt5PIh5c/cQeOUutnZKduwepff4ubO3+GnyVm7eiKS4WyFGjw2gWo38qc9PiotV8924DRw7eg0HB2uGfN6K1jmUZ9niA2zdfJrwuzE4OFrzXrd36dmrUb7nayymJtqCTqFASSMhB+3bt2ft2rVYWVk9M27p0qX4+/vj5OSUT5m9niZM2oS5uYIj+8Zx5epd+g5eQtkyRfH2ctWLW/v7cfb8fYnN6z7HBBM+6b8At+KOvN/lXWpWL8XZY1kXFsdPBtNv6BIa1PMBwMzMlFYtKvP+e+8y8ItleZv/1L8wN1dweNsQAq9H0nfEesp6OeNduoh+/pvPsefQNTYv/xQTExN6Df0Nt2L2dAvIPDmV9XamTbNyTJ3zt8FrzF9xjEuB4Wxd+RkZ6Vr6f7WeuUuPMOSzhnlalqf5ZdI+zM0VbNzbj6Cr9xk1ZBOeZYpQyrOwXlzdRp60al8BW1sr4uM0jP9yGxt/O8t7PWrkS54vIiZazZb1F6lUtSjmlq/eoW7ChN8wNzfjyOH/cSUwjL59Z1G2rBve3sX04lQqCzp1qotf21rMm7dD7zG1OplKlTwYObILTk62bNhwhD59Z7Fv70SsrZ99/MqTMny/NrNuH5qcWYZ+cyjrU9ywDEpLOnWsi1/bVObN25lDGdwZ+XWnzDL8fpQ+/eawb8/3RinDhGm7MTdTcHjrIAKv36Pvl+sp61Ukh/p8nj0Hr7N52SeZ9fnztbgVtadbQOaFUlkvZ9o0LcvUOQdyfJ2qFYuxeu6HeZ5/dj9N3I65uYId+0dwLTCCYQNX4+3jSmkvZ/1ArZbxEwPwKuPCndAYhvRdgYurHS1aZzVu0lLTmT5lBxUqFzd63tkdvh7LwkN3WfxJOZxtLRjy21Vm7QtjWAvDhlWcJo0uNZ351csbhakJP/x5izGbgpn/kf6NjcVHwnG0NicxJdno+U/6IfM8t+/AOK4G3mXwgCWUKVsUr2znOSulBR061iIpKZVFC/TPBXGxaoYOXMqY8R1p2qwiO7efY8igpfy582vs7FVGL8OTJv3wB+bmCvYe+IargXcZ8qg8ntnKo9Vq+X5SV7zLuBIWGk3/3gtxcbWnVZuq+ZqvscjEZWFg8+bNz20gACxfvpyoqKh8yMg40tLSjP4aak0Ku/ZcYujAllirLKlZrRS+jcqz+c8zBrF/bDlNrx4NcXVxwMXFnk96NGTTltM57vePradp1awyKmXmnaPSHs50CaiNt6dLnue/e/9VhvRugLXKghpVSuBb34stOy8Z5rT9Ip90q42rsx0uRWz55P06bNp+Uff4B51q8G5NDywtDC9Y/z4SRI8uNXGwU1LIUcWHXWqycduFPC3L02g0qRzce51eA+qhUllQuVpx6jbyZNe2KwaxxUs4YGubWTe0WjAxMeFOaGy+5PmiTv8TypnjoSQ8TCnoVAyo1cns2n2WoUPaYW1tRc0aXvj6VmHzluMGsZUrl6JD+3coUaKwwWMlShThk0+a4exsj0JhSteuDUhNTefmzch8LIN/VhmaVGbzlhM5lMGDDu3rUMItpzIU5pOPm2aV4b36mWW4dS/vczaoz2741vdmy1//GsT+seMin7xfK6s+d6uVrT5Xz6zPlvnT25cTjTqFv3dfpu+gJqhUllSt7k6Dxj7seNT78aQevepTtnwxzMwUuJcqTMMmPlw4G6oXs2rZUerU9cTDw/D/ZGybz92nY/UieDursFea0a+RG5vO3c8xtmEZR1pVdMLGygylhYIP6rhy5vZDvZiwmCS2nb9P7wbFctxHXtKoU9iz+xIDB7dEZW1JtRqlaNSkPH9uMTzPVapcEr92NXArYXhz8fy5WzgVtqVFy8ooFKa09a+Oo6M1e/cYnm+MSaNOYe/uSwwY3EKvPNu2nDWI/fjTxpQrXxwzMwUepYrQ2Lc8586G5Gu+wnikkZADHx8fEhMTAfD19eXXX3+la9eu+Pr6snLlSgDmzp3LvXv3GDJkCO3btycoKOiZ+5s7dy6dOnWiadOmHDt2jGnTptGhQwf8/PwIDg7WxW7atIkuXbrQsWNHPvroI27cuAHAxo0b6dWrF0OHDqVVq1b07NmToKAgevfuTcuWLRk+fDhabWa32IMHDxg4cCD+/v74+/vzxx9/6Pbv6+vL1KlT6dy5M+PGjaNPnz7s2JF1d3LXrl306tUrz97LWyH3UZiZUso96y5d2TJFCQo2vIi5fiOSsj7F9OKuB0cYxKk1Kezcc4EO/sa/e33rdjQKhSmlSmYd0H28Xbh+84FBbNDNB5T1zrp75+PlnGPc02i1+n9E3HvIw4Skl8r7RYSFxKAwM6WEu6Num2eZIty6kXMDeM+OK7SpP4v2TeYSfO0+/p0MhzaIZ7t1KzLzc1Uqq1Fb1qc4Qdfv5mq/V66Ekpqahru78/ODc+nWrXuGZShbnKCgPCpDySLPD35Bt0JjHtXnQrptPl5Fnl6fvbLX5/9+U+jKtXu802YGLbvNZ86SI6SlZeQu+RzcDolCYWZKyScu6r19XLgRnPPF9WNarZZzZ25T2ivrPQ6/G8vWP87yab+CGSoSdE9DWdesu+VlXVVEJaQSq0597nNP3YrHy1n/TvvEP2/xebOSWJkb/zInJOQ+ZmamuHtkvZ9lfIoSHPQSjXWtNtufWoKuG54Hjelp5bnxnPJotVrOnr6Fp1fe3qwrSKYm2jz/eZ28en3wr6CkpCTWrl1LWFgY/v7+BAQE0L9/f9avX8+MGTMoU6bMc/dhZ2fH77//zo4dOxgwYADTp09n+PDhLFiwgLlz5zJ16lROnTrFjh07WLVqFRYWFhw4cIDRo0ezZs0aAC5evMjWrVtxdXWlb9++DB8+nBUrVqBSqQgICODYsWPUrVuXH374AW9vb2bPns29e/fo2LEj5cuX1+WZkJDAhg0bADh48CALFiygdevWAKxatYoePXrk2XunVqdgY22pt83WxorERMPuX7U6GRsbK704tToFrVarGwcMsGvvRRwdrKlds3Se5fk0ak2qYf7WliSqDe9OqzUp2Fo/mb9ljvnnpEGd0ixfd5I61d1Jz8hgxfpTAGiS0rC1yYOCPINGnYLKWn8sr42NBerEnO/AN2tdjmatyxEWEsNf2y7j6JS/3eBvgszPulJvm62tksTEl28UJiRo+OqrJQwa6IetrfL5T8ilHMtgo8yxbv9XCQkavvp6GYMGtjFKGXI+Hj2tPqdia2OpF6fW/Lf6XKtqCbau6EUxV3uu33zAsHGbUShM6fvRu3lTkMc5qlOwzlYeGxsr1M/5HyyYs5+MDC1+HbLGmE+btIO+g3xRqSyf8UzjUaekY2OVdUliY5XZQ5OYnI6Dyvypz7sakcicA2HMet9Ht23P5WjSM7Q0K1+IEzfjjJf0I0/7PySqX6wuVK7qzr378ez48yzNWlRmx59nCQuNJinp+Q2lvPSy5fm/2bvJyNDSPqCmMdMT+Uh6Ev6DNm3aAODm5oadnR0RES/eqn98EV6hQuaE1yZNmgBQsWJFbt++DcC+ffsIDAykS5cutG/fnmnTpum9VvXq1XF1zRwPWK5cOWrUqIGdnR1mZmaULVuWkJDMLr5jx47RrVs3AJydnWnUqBHHj2cNY+jQoYPu9wYNGnD//n2Cg4MJDg4mNDRUl1teUKksSMh2wkpITDI4AGXGWpL4xJ3zhMRkVCoLgxPyH1tP08GvxnNP1HlBpTTPIf9krFUWOcRakPDEQfRp+eek38d1KVfGhQ49F/F+3xU0bVgGczNTCheyzn0hnkOpMmwQJCYYNhyyc3N3xMPTiV8m7TVmem8klcqShASN3raEhKSXHoOflJRCv35zqFK1FH37tsqLFJ8rxzI8pW7/F0lJKfTrP5cqVUrRt49xypDz8SjlKfVZv+4nJKagUv63+lyiuANuxRwwNTXBx7MIAz6py1/7r+a+ANlzVFkYNMoSE5NRPeN/sH71cbZvPc/02d2xeDT08dD+q6jVyTRvVTHPc3yarecfUOOHE9T44QR9ll9BZaEgITld93jio9+tnzGcKyQqib4rAhnd2oOaHnZAZmNj6q7bjG7rYdT8n5Tz/yEJ6xdscDk4WPPLzJ6sWHaIpg0ncPTwVeq864WLi31epvtcOZUn87z39PKsWXWUbVvOMHPux7rP1ZvA1CTvf14nb85/0ogsLbMqhkKhID09/RnRz96HqakpFhZZJyRTU1Pd3ACtVkunTp0YOnTof8rjZfNSqbLu/JqYmPDhhx+yevVqALp27YpCkXdjbD3ci5CelsGtkPt4PBpyFHgtHK8c5g54l3Yh8Fo4lSuV1MV5e+pPkgqPiOXEqRtMGNspz3J8Fo+ShUhPz+BWaDQeJTKHKFwNuod3KcMxu16lChN4/R6Vyxd7ZlxOrCzNGTe8JeOGtwRg7R9nKe/jimk+HFHc3B1JT8sgLCQGt0dDjoKv3cej9PMn5KenZ3D3FZ2T8Crz8HDJ/FzdisTDI7MuBF4Nw8v7xcdPp6SkMnDg/+Hi6sCE7z7I61SfysPD+VEZ7uHhkTksJzAwDC+vlyzDoHm4uDoy4bv38zpVHY8Sji9Wn4Oy1+eXW6TCBBMwwiiDku5OpKdlcDskipLumbldvxpBac+ch2pt2XSGZYsOM2/pJ7i4Zl14njx+gyv/3qV1458ASExIxtTUhKDr95g60zj/D/8qhfGvkvW+f7n+OlcjEmldMbMcgRFqnGzMn9qLcCc2mU+XXaZfYzfaVc0qb0hUEndjk+mx6DIAqekZJCSl0+B/p1nTuwLFHfN+Mry7exHS0jIICbmP+6Pz3LWr4S817KZmLU9WrxsCQFpaOn4tp/BRz/xZwOKxrPI8wN0983907Wo4pZ9Snj82nmTJor9ZtKwfLq4O+Zmq0Sles+FBeU16EnLB2tqahw8fPj/wP/L19WXz5s263oP09HQuXXrxCUvvvvsu69atA+D+/fscOHCAd95556nxHTp0YM+ePWzfvp0uXbq8XPJPoVJa0LxpRWbM3YVak8Lps7fYu/8y7dsaLkfX3r86S1YeIjIyjsh7cSxZfpCAdvrzDjZvO0O1Ku6UzDbpS6vVkpycSmpqZkMpOTmVlJTcT8xWKS1o3siHGQsOotakcOZCGHsPXaddDnfcOrSuyNI1J4i8/5DI+w9Z8tsJAtpkrRySkppOcnIaWq2WtLQMkpPTyMjIPAA9fo5Wq+XcpTvMXXqEwZ81yHX+/4VSaU4DX28Wzz2KRpPKxXN3OHIgmBZ+hkugbtt4kZhoNQC3gqNYvfgk1Wvn/bKOecHU1ARzc1NMTU30fn8VqFSWNG9ejRkztqJWJ3P6TBB7956nfbs6BrEZGRmZn+20dLTof7ZTU9MZMmQ+llbmTJn8Maam+XdIV6ksad6sKjNmbntUhmD27rtA+3aGy7jqlUGbQxmGLsgsw6SPjFqGzPpchhkLD+vX55aGSxp3aFWRpWtO/of6DGnp6Xr1+eCxYB5EZ85ruxESxdylR/Ft4JXn5VGqLGjcrBzzZ/+NRp3C+bO3Ofj3VVr7VzGI3bntAnN/3cvMBR9RvEQhvcf6DvJlw7bBrNzQj5Ub+tGgsQ/tO9Xgmx/a53nOT9OuahF+P3OfoHtq4jVpzDtwh4CqOTd2IuNT6LXkMt1ru9Ktlv6Fq7ezir3Dq7GxfyU29q/E9+09cbIxZ2P/SrjaG2colVJlQdPmFZk7cxcadQpnz9xi/77LtG1neJ57XBfS0tLh8XnriXNV4JU7pKamk5CQxPSf/sTF1Z669X0M9mNMSpUFvs0r6Mpz7swtDuz7F792hkugbt92llm/7GTugs9ynIwtXm/Sk5ALH330EaNHj8bKyopp06bh5ZW7k0CtWrX4/PPP6d+/P+np6aSmptKqVSsqVnyxLuCxY8cybtw4/P39ARgxYgTe3t5PjbexsaFBgwYkJSVRqFChp8a9rPGjAxg9fj11m3yHg4M1344OwNvLVffdB4+XNu3W+R1Cw6Lx7zIdyPyehG6d9Rs3f2w7zac9DSfW3bkbQ9O2k3V/V64zhuJFHdm3Y5RB7Isa92VLxkz8k3ptZ+Bgr2T8ly3xLl2EU+dC6TN8LWf2jgCga4dqhN6Npd2HCzPzb1eFrk+M+f308zWcPJs5tOzsxTuMm7KDZbO6U6e6O7fDYvj6+21ExyTi6mLH8P6NqV/H+HMuHvtitC9Tvt1FgO9c7ByUfDG6KaU8C3PhTBhfDdrEzqODAbh0/i6LZh9Bo07B3lFF4+be9BpguNb6q6Dde5UI6JZ1sVSvcWk2rTnPH2vyZ9Wo5xk/7n1Gj1lO3XpfZtaL8d3x9i7GqVPX6d1nFmfP/ArAyZPX+ajnz7rnVa4ymNq1vFmxYjhnzwbz9/6LWFmZU6v2MF3MgvmDqFnz6XU+78rQjdFjV1C3/tePyvD+ozIE0bvvbM6ezsz75KkgPur5S1YZqg7NLMPyLx6V4VJmGeqMyCrDvIHUrJn3F9bjRrRgzI87qOc3Cwd7K8aPeKI+j1jPmT2Z72PXDlUz63OPxQB09q9M1w5Zyzp++sVaTj5aHSizPv/FspnvU6d6SY6dDmHUxO2oNak4FVLRrkWFPJ+P8NhXY9vywzebadX4J+ztlXw9ti2lvZw5ezqEL/qvZP+JMQD836x9xMVp+KTbfN1zW/lVZuQ4f6ytLfWGiVlamqFUmmOfj8tuNvB24NN6xfhkyRWS0jJoXr4Qg3zddI/7zzxPn4bF8a9SmA2n7xEak8zs/WHM3h+mizk9tjZmChO970uwVyowNTEx+A6FvDZ6bADjv1lPk4bf4WBvzehvAvDycuXM6ZsM7LuIY6cyz3OnT92k9yfzdM+rU30MNWqVZtHSfgAsXbSfw4cyh6bVrV+Gn2f0NGreTzN6bADffrMe34YTcLBXMfqbADwflWdQ38UcPfU9ALNn/EVcnJoPu87SPbeNfzXGju9YIHnntVfkvlKBMdFqtW93X4ogLS2Ndu3aMXnyZCpXfoGVajSbjZdUPtGqYwo6hVyJUBp//W9jG9n99Z/4vGyT2/ODXmXavF95J79po1//ZRfj7Iw/4dzYbDftfH7QKyyl0+t/cas1xti2fKYy6/D8oHywO2x5nu+zudtHeb5PY5HhRm+5vXv30rx5c+rVq/diDQQhhBBCiDeYLIEq8sSsWbPYvXu3wfbFixe/0t/I3LRpU5o2bVrQaQghhBBCiFeINBLyyKBBgxg0aFBBpyGEEEIIIfKA4hWYk3Dz5k1GjhxJbGwsDg4OTJkyBQ8Pjxxjb9y4QUBAAN27d+frr7/O9WvLcCMhhBBCCCGyeRW+J2H8+PF0796dv/76i+7duzNu3Lgc49LT0xk/fjzNmjXLZamzSCNBCCGEEEKIV0xUVBSXL1/Gz88PAD8/Py5fvkx0dLRB7Pz582ncuPFTexlehgw3EkIIIYQQIhtjTDSOj48nPj7eYLudnR12dnZ628LDw3FxcdF9ya1CocDZ2Znw8HC9JesDAwM5fPgwy5cvZ86cOXmWqzQShBBCCCGEyAfLli1j1qxZBtsHDRrE4MGDX3h/qampfPPNN0yaNEnXmMgr0kgQQgghhBAiG2NMXO7ZsycBAQEG27P3IgAULVqUyMhI0tPTUSgUpKenc+/ePYoWLaqLuX//Prdv36ZPnz5AZk+FVqslISGB77//Ple5SiNBCCGEEEKIbIwx3CinYUVP4+TkRLly5di2bRvt27dn27ZtlCtXTm+oUbFixTh+/Lju75kzZ6JWq2V1IyGEEEIIId5U3377LStXrqRly5asXLmS7777DoDevXtz8eJFo7629CQIIYQQQgiRzcssWZrXPD09Wb9+vcH2BQsW5Bj/MvMankZ6EoQQQgghhBB6pCdBCCGEEEKIbBRGmJPwOpFGghBCCCGEENm8CsONCpI0EsRLu29i+I1/rxtT67xdUzi/Hb5jU9Ap5NqyTcUKOoVc6xkQVtAp5MpPv6UWdAq55mzrUtAp5Fp8yp2CTiHXrGOTCzqFXFlxPaGgU8i11IyCziD3BlYo6AwESCNBCCGEEEIIA8ZYAvV1IhOXhRBCCCGEEHqkJ0EIIYQQQohs3vY76W97+YUQQgghhBDZSE+CEEIIIYQQ2cgSqEIIIYQQQgg9b/sSqDLcSAghhBBCCKFHehKEEEIIIYTIRpZAFUIIIYQQQognSE+CEEIIIYQQ2Sje8jkJ0kgQQgghhBAiGxluJIQQQgghhBBPkJ4EIYQQQgghspElUIUQQgghhBDiCdKTIIQQQgghRDbyjctC5KP4OA2Txm/n5LFb2Dsq6TukES3aVDCIW730ODu2XCQiPB4HByUBXavT/eM6AESEx9EjYKFevEaTysBhTXi/Z518KcOP47dx4thN7B2V9B/ShBZtKhrErVp6jO1bLhIZHoe9g5KOXWvwwcfv6sWsXXWCdStPEBOtxqWoHVN+6UJJDyejl0H9UMOmX7YQdOYGKjsVLT72pUqTSk+NT0tNZ/ageSSrk/lqxRe67cHnbrJz0W6i70ajslfRsEs9arWuYfT8Y2MTGTN2OUeOXMHR0YZhX3TA37+2Qdw//1xl9pw/uXz5NvZ2Kvbt+1H3WFRUPBMnruPEyetoNMl4exdj1MguVKlSyuj5/1fN2vhQ39cTN3cH/jl0i4UzjhZ0Snri4zRM/nZHVn0e3IjmbcobxK1eepydWy/p6nOH96rp6jPA9cBIfpmyh+Dr91CpLGjXuSof96mXL2WIjUtkzPi1HDl6DUdHa4YNaYN/W8PPsFarZeov29iw8TgAnTvWYcTnfpiYZI5H2Lf/X6b/+id37kbjU6YYP3z7Hl6erkbPPz5Ow/QJuzj9zy3sHJR8OqgBvq3LGcT9vuo0f6w9S3ysBiulOY1b+NBnaCMUZpkDCpbOOcKR/UHcvhXFB5++w0d96xo99+yWn77HopORJKVl0Kh8+O8AACAASURBVNzbgXFNS2BhZjjg4fzdRGYeDedypBqFqQm13GwY1cSNIjbmAKSkZTBpfxh7g+JIS9dSrbg145qWwMXWwmi5ax5q2DVrC7fO3UBpp6LBh76Ua2R4TD36236ObziMwlyh2/bRL/1wcHUk+k4UB5ft5m5gGNqMDFy8iuHbuxWFihc2Wt6PJT3UsGf2Fm6fv4HSVkXdD33xaWiY/z9r9nPqd/38u0/vh72rI5p4NdsmrSHmThQZGRkUcitM/Z7NKVaupNHzN5a3fbiRNBLeMGlpaZiZvbr/1mk/7sLcXMGWvwdzPTCSrwZvwKuMM6W9iujFabVaxk70w9PbmbthMXzRby3OLrY0a10e16L27P5nuC72blgs3fzn0biZT76UYeqPOzE3V7Dt78+5HhjJiMFr8SrjkkMZYNxEfzy9XbgTFsPn/Vbj7GJH89aZjaItG8+ybdN5ps7qikfpwtwJi8XOzipfyrB1znYUZgpGrh5O+I0IVoz/DdfSLri4O+cYf/j3o6jsVCSrk3Xb0tPSWf3DOlr2akat1tW5c/0ui0cux82nOEVLG/fiaMKE3zA3N+PI4f9xJTCMvn1nUbasG97exfTiVCoLOnWqi1/bWsybt0PvMbU6mUqVPBg5sgtOTrZs2HCEPn1nsW/vRKyt8+f/8Dwx0Wq2rL9IpapFMbd89er19Em7MTdXsHnfIIKu3uOrwevxKlOEUjnUhTE/tNXV52H91+HsakuzVpkNiu9Gb6VhkzLMWPg+EXfjGPDJKrzKOFO/sbfRyzBh4sbMz9L+77gSeIe+gxZS1qc43l76n+G1G46xZ98lNq8fgYkJfNJ3Hm7FnXj/vbrcCrnPiFErmT+7N1Uru7No6d/0H7KIHZtHYmameMor542ZU/ZiZm7Kut39Cb56jzFDN1G6TBE8PPUvLN9t6EnLdhWwsbUiPk7D919tZdOaM3T+sCYAxUo40HtoQ7b9ft6o+T7NkVvxLDwZyeLOXhSxMWfolpvMPhbOFw2KG8TGJ6fRpbIT9dxLoTA1YeK+UMb+FcK8Tl4ArDx7n/N3E9nYoyy2lgq+3X2bH/8O49d2pY2W/9752zE1U9B/6XDu3Yxg0w+/UaSUC4VLGh5TfepXoM0XAQbbkxOT8KzlQ8vB7bFQWvDP2oP88eNaes0eaLS8H9u/IPOc8Nni4fw/e/cd3lT1P3D8naRJk3S3tKXQSTdIKXuvMooMCwgiOBB/IiBDEVS+DoZ7IQqoKA5QFJA9ZMlS9oYyS4G2tIUOutukSZrm90exJU1BoE0BPS+ePk9y7yc3n8Mdueeec+69lpjG2vcWU8ffE7cq8g9u34jolyzzlysVdB/3CM5ebiCBSwfjWPfBEkb+OBmpTPRufxCJtfYvEBoaypw5c3j00UeZO3cucXFxDBs2jAEDBtC7d28WLFhQHjtlyhSmTp3K008/TdeuXXn//ffZt28fw4YNIyoqioULF1otT61Gz59b43hubCfUagVNmvnQoXMQm9eftoh9YkQbQsPrYmMjxdffjY5dgjl5PKXK5W5af4omzXzwqu9stdz/ptXo2bn1HCPHdr6hDMFsWn/SIvbJEW0JDffCxkaKn78bHbuElJehtNTED/N28eIr3QkIdEcikeDt44Kjk8rqZdAX6zmz5yzdn+qKrUqBfyNfwlqHcHx7bJXx2Wk5nNhxks6PmV/Z1RZo0Wl0REZFlOUfUh93H3cyLl+zav4ajY4tfxzjxQmPYGenpEXzIKKimrBm7QGL2IiIAPrHtMHHx/JKnI+POyNGdMfDwwmZTMqQIR0xGIwkJKRbNf87cWR/MkcPJFNYoL/XqVjQasv25/8b2xG1WkFEU2/adw5m8+9V7c+tzfbnDl2COXk8tXx+2pU8evRuiEwmpb6PCxGR3iRctO52BNe3pa2xvDi2F3ZqW1o0a0BUl0asWX/YInb12sM8O7wLdes64+npzIinO7NqzUEAdu89R4tmDWjRrAE2NjJGPhtFekYehw5ftGr+Wq2B3dvieWZMe1RqBQ819aZt50C2/n7GIraejzP2DtcrvyaQSCVcSc4tn9+zXyNatQ9Arbbe1fZbWXM6m4EPuRFUR4WT0obRbeqy+nR2lbEdA5yIDnHB3laGSi5lWKQ7x64Ulc9PydPT3t+ROnZybG2k9Ap14WJWsdVyNxTrid93lvbDuqJQKfBu6EtgyxDO7Kz6mHozXiH1adyjKSoHFTIbGc0eaUNOahbafI2VMi9jKNZzYf9Z2lzPv164LwEtQzj3553lb6OwwaV+HSRSSfk2pissprhAa6XMrU+CtMb/HiT336Up4a7Y2tqyYsUKAAoLC1mwYAEKhYKioiIGDx5Mx44dCQwMBCA+Pp6FCxdiNBqJioqioKCARYsWkZmZSa9evRg0aBB2dnY1nmNyUjYyGym+/q7l0wJDPTh++PItP2cymThxNJmYQU2rnLdp3Smeeb52msYvl5ehoktQcKgnxw4n3fJzf5eh//UyZKTnk5FewMULmbz71jpkMikP92vMs6M7IbVy++a11CykMil1vCvK4NXAk4STVZfh96830WN4FDa2crPp9i72RHR+iKN/HKdV7+aknE8lNyMXv0Y+Vs0/MTEdmUxKQIBn+bSw0PocOhRfreWePZuMwVCC301aUwRzyUk5ZfuCX8X+HBTizvEjybf8nMlkIvZoMo8MiiyfNnhYCzavP8VzL3TkSmoup2NTzbojWUtiUiYyGykB/hXrPCykXpUn9/EX0wgLqWipCgutT/zFigqlyWS64XXZ3/kLabRtE2Kl7CE1KRuZTIr3DesgMNid2KNVX1DZvvEsX3ywFU2RHidnFaMmdrZabnfqQpaWrkFO5e9D3VVkaUrI1ZbgrLr1qcqR1EKC3Cpa/wY+5MaHO1PIKDTgYCvj97M5dPB3tFru2VeykEqluNavOKa6B3iScqrqY+rFQ+f58smPsXNxILJ3SyIfblFlXMrpJOxc7FE5qq2S999yrufvUu+G/P08STlTdf4Jh8/zzdNl+Uc83JKIXub5/zJxHjmp1ygtKaVR96aonWv+fEKoHaKS8C8xYEBF019xcTHTp08nLi4OiURCRkYG586dK68kdO/eHYWi7GpRQEAAnTt3RiqV4unpiaOjI2lpaeWxNUmrNWBnZ2s2zd7eFo3m1ldJf/h6N6UmE737W/aPjD2WQk5WEV16hNVorjej1eotymB3G2X4/uu/MJlM9OnfBIDM9AIADu67xM/Ln6ewoJiXRi/G3dORmEctK0M1Sa/VY6s2L4OtnRKd1rIMZ/aeo7S0lIbtwrgUm2gxP6JLI1Z9sZ4N32wCoN+4Pji7O1nE1SSNRoe9vXmLi4ODiqKiu79SWFio5dVXf2Tc2L44OFi/NeffQKu5yb5QdJv7c0zF/tyuUyDvvfU7S346iNFo4pnn2xH+kJdV8r6RRqPHvlLXMgd7JUU3dKuriNVVXIm/HqfR6DCZTLRtE8Kns37nwKELNI30Z/4P2zEYjBQXW7cFSKs1oLY3v/J/q+NR1MPhRD0cTsrlHLauP4OL6/1z8qYxlOKgqOiaZX/9dZHeeMtKQlymlq/3pTEnpqIrkZ+LLXUd5ER9ewqZBILrqHgjKshquRu0ehSVj6lqJfoqjqmhHRoREd0ctZMdV+NTWffRMmztlIR3Mh/XVnAtn+3fbqTziJ5Wy/tvhmLL/BV2SgxV5B/cvhEP9SzLPz0+ld8/Lss/tGNF/k/MGk2JvoSLB85RWmK0ev7W9PeYo/+qB6vdQ7gptbriSsNnn32Gu7s7q1atYu3atURERKDTVfzo2dpWHAxkMpnFe6PROju1SiWnqMj8x7eoUHfL5u0Vi4+wad0pPpk7GIXC8odi49qTdO4eWmtN5CqV4o7LsHzxITauO8mnc4eUl0FxvX/5k8+0xcFRiVd9Z2IGNWXfrgvWS/46hUphNrYAQKfRYasyL4O+WM/mH7bSZ3SvKpeTmXyNpR+uZNCkGKavfZPx88awe/le4g6et1ruAGq1LYWF5s3XhYXFdz2OoLhYz+jRX9EkMoBRo6ouq2BJpbbcFzRFetR2t9iflxxh8/rTfDxnUPm+kJ+nZfLYZTzzfHu2HpjMis1jOLgvgVVLj1o1fygbs1JYqXJZWKTDrtIJU1msLUWFxTfEFaNW2yKRSAgM8OTDd4fyzvsr6Rg1nZycIoIaeOLpad0ukCqVHE2h+YlcUZH+H4+H3r4u+AW6MfvDrdZM75bWn82m5ZwTtJxzgtErL6CWSynUV/z2FF1/bae4+ZiOyzk6xqy8yJSu3jT3ti+f/u62ZPQlJvaMacyh8U3oHuzM6FXW6/olVynQVzqm6jU6FCrL9eDm4469qwNSmZT6YT407duK+L3m3cM0eUUsn76IJg+3sKg8WINcWXX+8n/I3yvMh8i+rbiwz7J7m43ChtCOD3F45R4yE9KslrtgXaKS8C9UUFBA3bp1sbGx4fz58xw+bNm/9l7w8XPFWFJKclJFP9ML5zMICHSvMn79qhMs+mE/n88fioenZVOxrtjAjj/ieLif9Q+if/O94zIc5+cf9jF7/hNmZfDzd0Mul8ENVylq64pFnfpulBpLuZaaVT4t7VI6Hn7mZchKzSYnPZfvXl3Ah0/MZPG7v1GQU8iHT8wkJz2X9KQM6tR3I7h5EFKpBHfvOoS0DOa8lfth+/t7YjSWkphY0dXjXFwKQZUGLd8Ovd7A2LHz8KzrzNsznqjJNP/1fPxcbrIvVH0nlt9Xx/LLD/v5/NvHzfaFKym5SKUSevV7CBsbKR6ejnSLDmff7ktWL4O/nzvGklISkzLLp52Lu0JQkOXA++DAupyLu2IWFxxY0eWtV88mrF/1Kgd2vcuEF3qReiWbxg9Zt+tdfT9XjMZSUi7nlE+7FJ+JX4N/vkOa0VjK1ZQ8a6Z3S33DXTk0vgmHxjdh3sAggtxUxGVWVP7jMrW4qW1u2opwJV/PcysuMKpNXR5p6Go2Ly5TS/9GrjipbFDYSBkWWYeTaRpytCVWKYtrPTdKS0vJuVJxTM1MTMfNt+rfhRtJJBJuvMlmcaGW5dN/IbBVCG0Gd7RCtpZcruefe0P+1xLTcfP55/yhbPzBzZQajeSn59484D73Xx+T8GBlK9yWMWPGsGzZMvr168fcuXNp2bLlvU4JKLvy2LlbKN99tQutRk/ssRR277xAdF/LW6Bu+f003875i1nfDKG+d9VX4/7cfh4HR1uatfKzdurlysoQxvyv/rxehmR27TxPr76WXaE2/36KeXN28sU3w6jv7WI2T6mS0y26Ib/8uI+iIh0Z6fmsWXGM9p2sfzcXhVJBw3bhbFu0E32xnqTTlzm7P47IqAizOA9/D15Z+BJj54xi7JxR9H+xH/bOdoydMwqnOo54BdYl60oWF48nYDKZyLqaTdzB89QNsG6ffrXalh49mjJ79jo0Gh1Hjl5g27YTxDxi2Ye9tLQUnc6AocSICdDpDOj1ZScKBoORCRO+xVYp56MPn0Eqvf8Oh1KpBLlcilQqMXt9P1CpFHTqFsL3X+9Gq/17f44nus/N9+fP5g2hXqX92cfPFUzwx4YzlJaayLpWyPYt5wgMvp0TlOpRq23p0b0xs7/cVLYtHUtg285TxPS17CMe068FP/78J+npuaRn5PHjTzsZEFNx291TZ5IxGkvJzi7krbd/I6pLIwJvGDdjDSqVnA5RwSyctwet1sCp46ns3XmB7n0sb0O7YVUsOdllA2CTLmWx5MeDNG1VcWvKEoMRva6E0lITRmMpel0JRmOpVfO/0SMNXVl5KouLWVryi0v45kAa/Ru5VhmbXqDn2WXxDI2sw5AmlpXSh+qqWXsmmwKdEYPRxJIT1/Cwk+PyD2Mb7pZcqSC4TTh7Fu/EUKwn9exlLhyMo2GXCIvYCwfiKC7UYjKZuHo+lWPrDxLUquzOfDqNjhUzfqF+uA+dnu5ulVxvln9g63D2LynL/8rZy1w6FEdYZ8v8Lx6syD8tPpUTGw7S4Hr+V+NSuHL2MkaDkRKdgcMr96DJLcIzxPIOVQ8KiURS438PEonpxtFWgnAHMot/vOPP3PicBEdnFaNfLHtOwomjyUx+4bfyW5sOfvhrMjIKUNxwL+aefRrxylsV3UFeHr2U8Ie8GDmu012XQcqd354wP0/Le9PWc2hfAk7OKsa8WPachONHLzPphSVs2/8qAI8+PNeiDNF9HuLVt3oDZd2UPnx7A/t2XcDewZZHBjZlxKgOd3QQ2Z56d7dX1BRoWTVrLReOXULtqKLnM91o0rUxiaeS+Gnqr0xd+T+Lz1yKTWT5J6vMnpNw8q/T7Fj8F7kZeSjVtjTp2pgez3S7oxPZwQ3uvAUgN7eI19/4ib17z+LsbMeklwfQr18rDh+OZ+Tzczl29AsADhyI4+nhs8w+26plMD//PImDB8/z1NOfoVTKzSoI878dR4sWd1ZZGz6g6oGi1dX/8QgGPN7EbNqqJSdYveTO7jryTz5ZbLirz5Xtzxs5vD8RR2cloyd0oUfvhpw4mswrY5exZd/LADzWe16V+/PkN6MBOHIwiXmf7yT5cja2tnLadQrkxVe7o1TJq/zeqnhI7+6EPDeviNenLmXvvvM4O6uZ9GIf+vVpzuEjlxj5wrccO/AhUDYw+ZNZ61m+cj8Agwa24ZWJFc9JGDp8DufiriC3kdKrZxOmTI5BXUW3pVu5bEj956BK8vO0zJyxmaMHknBwUvHc+LLnJJw8lsLr41eybvcEAD6ZvomDexIo1uhxclHTqXsIz4xpX9718eNpm/ij0p3mJk+LJvqRO2up9fpl+x2X4W8Lrz8nQVfFcxJiFp5lZCtP+oa78tW+q3y1Lw2V3Lxif2h82b6Sqy3hgx0p7EsqwFBqIshNyaud69PY65/HYPzYqd9d5a4t0LJ5zlqSTlxC5aCi41PdCO/cmJTTSax851cmLCk7pq6fuYKk45cwGkqwd3Mk8uEWNOtbdoHj9PYTbJq9Bhtb+Y2NzDwz5wUc72Csl+Eu6nY3PidB6aCi/ZPdCO3UmNQzSax991fG/FqW/6bPVnD5+CWMJWX5N+7Vgsg+ZfmnnE7kr+82k5eeg9RGipuvB22HdqV+ozu/kDe20f3Rsns35zn/xF05osaXaS2ikiDcNWvsPLXtbioJ95O7rSTcT+6mknC/sVYlobbcbSXhfnK3lYT7yd1UEu431akk3A/utpJwP7mbSsL95n6pJFwrrvnbwtdRDq/xZVrL/de+LgiCIAiCIAjCPSVugSoIgiAIgiAIlUh4sMYQ1DRRSRAEQRAEQRCESiSS/3aHm/926QVBEARBEARBsCBaEgRBEARBEAShkv96dyPRkiAIgiAIgiAIghnRkiAIgiAIgiAIlfzXxySISoIgCIIgCIIgVCK6GwmCIAiCIAiCINxAtCQIgiAIgiAIQiWS//i19P926QVBEARBEARBsCBaEgRBEARBEAShEonkvz0mQVQSBEEQBEEQBOE+lJCQwJQpU8jNzcXZ2ZmPPvoIf39/s5gvv/ySDRs2IJVKkcvlTJw4kY4dO1b7u0UlQRAEQRAEQRAquR/GJEybNo1hw4YRExPDmjVrmDp1Kj/99JNZTEREBM8++ywqlYpz587x5JNPsnv3bpRKZbW+W1QShLvWZ67vvU6h2jaNv3qvU6iWYGfdvU6h+kyl9zqDavtkseFep1AtrwyV3+sUqq14xIO/LzzS0O5ep1BtAxLy7nUK1RLf5MHvXtLGw3SvU/jXsMYtUPPz88nPz7eY7ujoiKOjo9m0rKwszpw5w48//ghA3759eeedd8jOzsbV1bU87sZWg9DQUEwmE7m5udStW7dauYpKgiAIgiAIgiDUgoULFzJ37lyL6ePGjWP8+PFm065evYqnpycymQwAmUyGh4cHV69eNask3Gj16tX4+vpWu4IAopIgCIIgCIIgCBas8cTl4cOHM2DAAIvplVsR7sbBgwf54osv+OGHH6q9LBCVBEEQBEEQBEGoFVV1K7oZLy8v0tPTMRqNyGQyjEYjGRkZeHl5WcQeO3aMV155ha+++ooGDRrUSK73fkSGIAiCIAiCINxnJFb4dyfc3NwIDw9n/fr1AKxfv57w8HCLrkaxsbFMnDiR2bNn06hRoxorv6gkCIIgCIIgCEIlEom0xv/u1PTp01m0aBHR0dEsWrSIGTNmADBy5EhOnjwJwIwZMyguLmbq1KnExMQQExNDXFxctcsvuhsJgiAIgiAIwn0oMDCQZcuWWUyfP39++esVK1ZY5btFJUEQBEEQBEEQKrkfnpNwL/23Sy8IgiAIgiAIggXRkiAIgiAIgiAIlVjjYWoPElFJEARBEARBEIRKrPGchAfJf7v0giAIgiAIgiBYEC0JgiAIgiAIglDJf727kWhJEARBEARBEATBjGhJEARBEARBEIRK/utjEkQlQahVjkob3owOp7W/G7laPV/9dZHN59It4uQyCZO6htA52AMbqYTYK7l8+EccmYU6AAY39aZvIy8C69iz5Vwab286W2tlyMvT8v60dRzcewlnFzWjJ3Qluk9ji7hFP+5l49pY0q7m4eSsZuCQ5jw5ol35/AG9ZpOdVYRMWtac2TjShy++eaJWylCYr2Xe+xuJPZiIg5OKoWM606FnQ4u435ccYtPyIxTkalGqFbTtFsaTY7sis5FyLS2fl5/4zixepzXw5Liu9BvWyqr55+YW8cabi9iz9ywuzva8/HIM/fq2tIjbfyCOL7/awJkzyTg5qtm+7d3yeVlZBbz3/jIOHopHq9URHFyP/732KE2aBFg197/l52n5cPpGDu1LxMlFxajxnenR23Id/LrgAJvWnSLtaj7Ozir6P9aUYc+0Lp8ffy6dzz/aysX4DNRqBY8MiuSZ59vXShluR/feoXSICsTbz5n9uxL5bvbee53STdnJ5Yxu2pwIdw8K9HoWnznFntQUi7gpbdoR7lan/L2NVMqVwgJe2bGtNtMFQFugZe0Xa7l07BJqRzVRw6No3MXyePQ3o8HIN+O/QafVMXHhxPLpcQfi2L5wO7kZuXj6e9JvQj/cfd1rowjlbDr0R955MMiVGE/tRr9qLhgNFnESD18Uj01C6uYFQGnKBfTr5mHKuAyA7Yi3kfo/VPEBmQ2maykUf/6C1XLXF2o5/v1aMk9dROGgJnxwN7zbVr0echOvcuqXTeQlXUVmqyCkXwca9GwDwLkV27l6NI7CK5kEP9KJsAFdrJbzjTQFWlbOWkv80UvYOanp+UwUkV1vvh2VGIzMGfsNOo2OKYvKtqOEU0ksfOtXszh9sYFhbwzmoQ7hVs1fsA5RSbhHQkNDOXr0KHZ2drf9mZSUFPbs2cOQIUPKpy1YsIB+/frh5uZmjTRr3CvdQjEYTfT6ahchHvbMGhhJfGYhl7KKzOIeb+ZD43pOPLHwAIW6El7vGcbkqBBeW1v2CPLMQh0/7E+gjb8btja1W9Of+d5G5HIZv+98mfhzaUwat4TgUE8aBHmYB5pg6nsxBIZ4kpqczUujf8WzriM9Hq748fpkzhBatWlQq/kDfP/pH9jIZXy7fhyJ8Rl8OHkZfkHu+DQwPylo3iGILn0aY+egpDBfy2evr2bjssP0HdqKOnUd+Wnby+WxGVdymfDYt7TuGmr1/N9+ZylyuYw9uz7k7LkURo3+irDQ+gQH1zOLU6tseXRgO/r2MfDNN5vM5mk0Oho39mPKa4/i5ubA8hV7eX70V2zf+g52dkqrl+GzD/5ALpexZvs4LsRl8Or4ZQSFuBMQZL4OTCZ4490+BAZ7cCUlh5fH/IZHXQe69yqrUMx4fR2duoYw+7uhpF3J44URvxAU4kGHLsFWL8PtyMnWsHbZSRpHeiG3vb9/cv4vIpKS0lKe3/Q7/k7OTGnTjqT8PFIKCsziPtxvXtGZ2r4jpzMzazPVchu+3oBMLmPSokmkXUpj8YzFeAZ44uHnUWX83pV7UTup0Wl15dOyUrNY9ekqhk0fhneYN3tX7GXJO0sYO28sUlntHF+lwc2Qd36M4vlTMBVkY/vUW8h7PIlh048Wsab8LPS/vIcpJwMkUmza9sV26BSKvyirBOh+nGoWb/v8RxgvnrBq/id/2oDURkb0nMnkXU7jwGe/4ujjiaO3+XrQFWjY/+kiHhoWjVfLhphKjGhz8svnqz1dafhYd5J2HLFqvpWt/bJsO3p98SSuXkxj4bTFeDXwxPMm29Gu5Xuxc1Kj01RsRwEP+TF91f/K31+KTeSn6UsIaRFo9fytRYxJEB4YqampLF261GzaTz/9RFZW1h0vq6SkpKbSum1KuZSoEA++2XMRrcHIidQ8/rqQycMN61rE1nNSsT8xm2yNHr2xlD/i0mlQp6JCtTM+kz8vXCNPa3mVyZq0Gj07tp7l+bFdUKsVNGnmS8cuIWxaf9Ii9sln2xHa0AsbGyl+AXXo2DWE2OOWVyVrW7FWz4GdcTw2siNKtYKwJt606BDMrk2nLWLrertg51B2wmwygUQqIS0lt8rl/rnxFOGRPnh4OVk1f41Gx5Y/jvHihH7Y2Slp0TyIqK4RrFl70CI2IsKf/jGt8fGuYzHPx6cOI57phoeHEzKZlCGPdcBgMJKQmGHV/AG0Wj1/bo3j/8Z2RK1WENHUm/adg9n8u+U6eGJEa0LD62JjI8XX340OXYI5eTy1fH7alTx69G6ITCalvo8LEZHeJFy8ZvUy3K4j+5M5eiCZwgL9vU7llmxlMlrXq89vZ8+gMxqJy87icNpVOvr43vJz7io14W51+Cv5ci1lWkFfrOfs3rN0fbIrCpUC30a+hLQOIXZHbJXxOWk5nNxxkvaDzVuaLh69iG8jX3wb+SKVSWk/qD0FWQUknkyshVKUsWnenZLDm8taA7SFGLYtxqZ596qDi4vKKggAEqC0FMn1VoXKJC4eSP0bYTy61TqJAyU6PVcOnyHs0a7YM0apxQAAIABJREFUKBW4hfhSt2koKXst18OlTfvwaByEd7sIZHIbbFS2ONSruDDg2yESzybByJQKq+Vbmb5Yz+k9Z+nxVFdsVQr8H/IlvE0Ix7ZVvR1lp+VwfMdJOj926xbLo1tP8FCHcBS1WJaaJkFa438Pkvv7ss6/3Pfff8+2bdsoLi7m5ZdfJjo6GoBJkyaRkJCAwWDA19eX999/HycnJ95++21SUlKIiYnBz8+P8PBwMjIymDBhAra2tsycORNfX19mzZrFoUOH0Ov1hIaGMn36dOzs7JgyZQoymYyEhASKioro168fqampTJs2DYBr167xyCOPsG3bNlQqVY2X19dFjbHUxOUcbfm0+MxCmvk4W8SuPXmFl6NCqGOnoEBXQq/wuuxNuPPKUE27nJSF7PrJ2t+CQjw5djjplp8zmUwcP3qZ/oOam02fPmU1JpOJkLC6jHu5G8GhlhWmmnb1cg4ymZR6vq7l0/yC3TlzLLnK+N1bzvDdx5vRavQ4OKt4anyURYzJZGLXxtMMvKE7lbUkJmYgk0kJCPAsnxYWVp9Dh+KrtdyzZ5MxGErwq4UuFslJOWXbkV/FOggKcef4karXwd9MJhOxR5N5ZFBk+bTBw1qwef0pnnuhI1dSczkdm2rWHUm4PV729hhLS7laVFg+LSkvj4Z1LCuYN+rk48vZrGtkajXWTtFCVmoWUpkUt/oVxyPPAE+STlZ9PNr0zSaino5CrpBbzjTd8NJkwmQykZmUSYPI2mnplHr6YTizv/x96dVLSBxcQe0AmoIqP6OatgwUKpBIMGz9ucoYWbPulCaerqhUWEFRWtl6sK9bsR4cfTzJirNcDzkXU3Dw9mDXO99TlJ6NS6A3jZ/ujdrNuhdXbuVaSln+dbwr8vcK8CThJtvRuq830XN4FHLbKraj6/TFek7tPsvT0x+v8XyF2iMqCfeQVCplzZo1XLp0iaFDh9KiRQvc3Nx44403cHUtO3mYNWsW8+fPZ/LkyUydOpWPPvqIlStXli9j2bJlzJ49m5CQEAC++uorHBwcWL58OQCffPIJ3377LRMnlvUZPHv2LIsWLUKtVpObm0ufPn2YPHkydnZ2LF26lL59+1qlggCglttQpDdvwSjUlaBWWG6Gl3M0pBfo2DCmIyWlpVzMLOKTbXFWyetOaDUG7OxszabZ29ui0dz6Kul3X/2JqdRE3/5NyqdN/2AAoeF1wQRLfznAS6N/ZcmaF3BwtG5Xl2KtHlWlMqjtbCm+SRk69GxIh54NuZqczV8bT+HsqraIOXcihdycItrUQlcjjUaHvb35Nupgr6KoSHeTT/yzwkItr762kHFje+PgYJ3t/0Zajd5iO7Kzt0VTdOvt6Ievd1NqMtE7pqKvcLtOgbz31u8s+ekgRqOJZ55vR/hDVV9VFW5OKbNBW6mFVVNiQGlz65/JTj6+rDx/zpqp3ZReq8dWZb4dKdVK9FrL7ejc3nOUlpYS1i6MxNhEs3kNIhuwbcE2EmMT8Qn3Yc/yPRhLjBh0tdhSq1BhKr6h2+n11xJbFaabVBK0MwaD3Bab5t0pvUklwKZpNww7Ftd4ujcqKdZjU2k9yNW2lBRbHpO02fnkJl2l7StP4ejtyZnf/uDIVyvo+NazVs3xVnTFemzVlbYjOyW6Kraj03vOYSotpVH7MC5V2o4qx9k5qglo7FfT6dYqiUR0NxLukcGDBwPQoEEDGjZsyPHjxwFYs2YNAwcOpF+/fqxfv56zZ29/UO727dtZu3YtMTExxMTEsH37di5frmgG79WrF2p12Umes7MzUVFRrFmzhpKSEpYtW8awYcNqsITmNIYS7CpVCOxsbdDoLbs+vdo9FIVMQve5f9L5i53siM/g80cjLeJqm0ottzgZLSrSoVbfvDl12eJDbFx3kplzh6K4ofxNmvqgVMpRquQMf64D9g5Kjh+1fpcFpUqBtlIZNEV6lLcoA4CXjyveAXX47tM/LOb9ufEUrbuE/uMyaoJabUthodZsWmFRscVJ9+0qLtYzeszXNGkSwKjne9VEiv9IpVZYbEeaIj1qu5v//61YcoTN60/z8ZxB5dtRfp6WyWOX8czz7dl6YDIrNo/h4L4EVi09atX8/42KjSWoKlUI1DY2FN+ia2aoqxvOSiX7r6TeNMaaFCqF2dgCAJ1Gh0Jlvh3pi/Vs/XErvW6yfdfxqUPMxBg2ztvIZ09/hiZfg7uPO451HK2WuyyyK6oZK1HNWIntiLdBr0Vie8MFCGXZa5NOe5MlXGfQUXJgA7aPTQY786vxUr9GSBxcMJ7cXdPpm7FRKiiptB4MWh02Sstjkkwhx6tZOC4N6iNT2BDavzM5F5IxaIqtmuOt2CoVZmMLAIo1Omyr2I42/bCVvqP/+Th5dOsJmnaL+M+fZD/oREvCfebw4cMsXryYJUuW4Orqyrp16/jtt99u+/Mmk4lp06bRtm3bKuf/XUH425NPPsnkyZNxc3MjMDAQf3//6qR/S5dzNMikEnycVSTnlh34Q9ztuXStyCI2xMOBr3ddJL+47Af6t2MpjO4QiJNKXuvjEG7k6+eGsaSU5KQsfPzKmmbj49JpEFR1F5V1q47z8/d7+HrBcDzq3voHVyKhrOO/lXn5umA0lnI1ORsvn7IWq6QLGfgE3LpbBUCp0UR6ao7ZNL3OwP7t55j8wUCr5FuZv78HRmMpiYkZ+PuXDao7dy6FoKB6//BJS3q9gbHjvsGzrgtvzxha06nelI+fy/XtKBuf612OLpzPICCw6nXw++pYfvlhP3N/eAIPz4rt6EpKLlKphF79ygbDe3g60i06nH27LzFgSDPrF+Rf5GphITKplLp2dqQVlR2T/JycSC7Iv+lnOvv4cvBqKjqjsbbSNONW341SYylZqVnlXY7SE9Jx9zM/HmVfySY3I5cFry0AwFhiRKfRMfPJmfzfzP/D2dOZhh0a0rBD2WD44sJijv1xjHrBd75P3S7j8R1oj+8of694/FWkXg0wntwFgNSrAaaC7Jt2NTIjkYDCFolTHUxFeeWTbZp3w3h6D+itewJuV7dsPRSmZZV3Ocq/nI5DfcvfBUcfT8zHwt77k+g63mX5X0vNos717SgtIR2PStvRtdRsctJz+faVBUDZnbKKNTreHzaTMbP+DxfPsq7DuZl5JMQm0n98n1oth1VY4yf53q/y2yZaEu6hFStWAJCYmMiZM2eIjIwkPz8fe3t7nJ2d0ev15TEA9vb2FBYWmi3Dzs6OghvuvBEVFcWCBQsoLi47KBYWFnLx4sWb5hAaGoqzszPvv/++VVsRAIoNpeyIz+T59g1QyqVE1HOiU5A7G8+kWcSeScundyMv7BQyZFIJgyLrk1FQXF5BkEkkKGRSpFIJ0uuvZbVwxUKlVtClexjzv/wTrUbPiWPJ7Np5nl59LW8Vt/n3k8ybvZ3Z3z5BfW8Xs3lpV/M4cSwZg8GITlfCoh/3kperJaKpj9XLoFQpaNU5hN/m76ZYq+dcbAqHd8XTsVcji9hta0+Ql112wpSScI3VP++jcXPz5uODf8Zj76CkUfNbD/CsKWq1LT26RzJ7zno0Gh1Hjl5k2/ZYYh6xvO1qaWkpOp0BQ4kRkwl0OgP66y1XBoORCS/Ox1Yp56MPnkYqrb3DoUqloFO3EL7/ejdarZ7YYyns3hlPdB/LdbDl99N8O+cvPps3hHre5uN3fPxcwQR/bDhDaamJrGuFbN9yjsDg2r115a1IpRLk8uv76g2v7zc6o5GDV1J5LKwhtjIZoa6utKhbj103GZAsl0ppW9+bnZdrf8Dy3xRKBeFtw9n5y070xXoun7lM3IE4IrpGmMV5+Hnw0oKXGDVnFKPmjKLfhH7YOdsxas6o8taCKxeuUGospSiviPVz1xPaOpQ6Pv984aCmlBzdhk3Lnkg8fEFphzzqcUqOVD3YWBrUFEm9QJBIwVaNvM/zmLSF5bdABcBGgSyi002XUZNsbBV4tQgnbuVOSnR6ss5fJu1YHN7tIixifTpGknbkHHlJaZSWGDm/5k9cQ3yRq8u6mZaWGDHqS8BkwmQsxagvwVRaatX8FUoFDduFs/Xnsu0o6fRlzuyLo2k38/w9/T147aeXGD93FOPnjmLAS/2wd7Zj/NxRON3Q6nR8Wyy+DX1wq+da+asePKbSmv97gIiWhHvIaDTSv39/tFotb7/9Nm5ubnTs2JG1a9cSHR2Ni4sLLVq04OTJsjvnhIaGEhAQQN++fWnQoAGzZ8/m6aef5vXXX0epVDJz5kyef/555s6dy6BBg5BIJEgkEsaNG0dg4M1vQTZ48GBmzZpF165drV7mj7ee463ohmx+oRN5WgMf/XGOS1lFRNZ35vNHm9Bl9p8AzN4Zz6SoUFY81w65VMLFa0W8uqbiDkLPtvVnZLuKAXW9G3kxf+8l5u9NsHoZJr/Rm/enrqV3l89wclbxyhsP0yDIg+NHLvPyC7+y/cAUAL6Zs5O8PC3PDv2+/LPRfRvz2lt90BTp+OTdDaQm56CwtSE41JPPvhqKk7Nlf39reO6Vnnz93kae7zMXeyclz70SjU8Dd84eT+aDScvKb20aF5vC0m/+olhrwNFZRZuoMB4b2dFsWX9uOEnHXo1qtVl52tTHef3Nn2nX4TWcne2YPm0owcH1OHz4AiNHfcmxI7MAOHT4Ak8P/7z8cxGRL9KqZTA//zSRY8cusmPnKZRKOS1bTy6Pmf/NWFq0CLJ6GSa93pMPpm3kka5zcXRWMun1aAKC3DlxNJlXxi5jy76ydfDdl7vIy9Py/BM/lX+2Z59GTH4zGjt7W979bADzPt/JzPc3Y2srp12nQIaPtP4A8tv1yGONGfB4xVic9l0asGrJCVYvqfrOKffSd7HHGdO0Od/26kOhXs93J46RUlBAmKsb/2vbnuG/ry2PbelVjyKDgdPX7s2tT//W+4XerP1iLTOfmInKUUXvF3rj4edB0qkkfp3+K/9b/r+yQbUu9uWfUdmrkEgkZtM2f7uZ9IR0pDIpDTs0pOdzPWu1HKXnj2D4cznKkR+C3Bbjqd0Y/lhUPl85cR6GHUsxHt+BRGWH4pExSJzqgEFPaUocuh/ehJKKVmZZo7aYtIWUWvnWp3+LeLoPx79fw+Zxn6KwVxExvA+O3h5kxSWxf+Yv9Pn2dQDcGwYQNiiKA5/9ilFvwDXEl+ajK1phT/y4juTdFTnHr9tF5HMx+Ha0bnfbmHG9WTFrLe89PhO1o4qYcb3x9PMof/bB9FX/QyaT4uBasc2oHcq2oxunARzdFkunQffPMUi4exKTqRb6Nwj3tTfeeIOAgACee+65O/pcq09r/8FBNW3T+Kv3OoVquVx4f99W8nZEujzYA9sAMnS3vrvV/e6VoTe/S8mDonjE7T9z5n71SMN/6H//ABjw/aJ/DrqPTev/1L1OodraeDz4p3WPNqidB4v+I6PlGLxqk/Wo+WVaiehu9B+Wnp5OdHQ0SUlJPPHEfbJDCoIgCIIgCPec6G70H+bp6cnmzZvvdRqCIAiCIAj3nwdsDEFNE5UEQRAEQRAEQajsP15JEN2NBEEQBEEQBEEwI1oSBEEQBEEQBKEyK99+9n4nWhIEQRAEQRAEQTAjWhIEQRAEQRAEobL/+JgEUUkQBEEQBEEQhMr+45UE0d1IEARBEARBEAQzoiVBEARBEARBECoTLQmCIAiCIAiCIAgVREuCIAiCIAiCIFQmboEqCIIgCIIgCIJQQbQkCIIgCIIgCEJl//ExCaKSINy10pJ7nUH1uVy4dK9TqBYX97r3OoVqM2Un3esUqs3DwfNep1AtxSN09zqFalP+WHSvU6i2JxY73usUqs30f53udQrV8pjzg78v+Dvc6wz+Rf7jlQTR3UgQBEEQBEEQBDOiJUEQBEEQBEEQKhMtCYIgCIIgCIIgCBVES4IgCIIgCIIgVGIyGWt8mZIaX6L1iEqCIAiCIAiCIFQmnpMgCIIgCIIgCIJQQbQkCIIgCIIgCEJlYuCyIAiCIAiCIAhCBVFJEARBEARBEITKTKU1/3eHEhISGDJkCNHR0QwZMoTExESLGKPRyIwZM+jevTs9evRg2bJlNVB4UUkQBEEQBEEQBEv3QSVh2rRpDBs2jM2bNzNs2DCmTp1qEbNu3TouX77Mli1bWLp0KXPmzCElJaXaxReVBEEQBEEQBEGoBfn5+aSkpFj85efnW8RmZWVx5swZ+vbtC0Dfvn05c+YM2dnZZnEbNmxg8ODBSKVSXF1d6d69O5s2bap2rmLgsiAIgiAIgiBUZoWBywsXLmTu3LkW08eNG8f48ePNpl29ehVPT09kMhkAMpkMDw8Prl69iqurq1lcvXr1yt97eXmRlpZW7VxFJUEQBEEQBEEQasHw4cMZMGCAxXRHR8d7kM2tiUqCIAiCIAiCIFRmhYepOTo63naFwMvLi/T0dIxGIzKZDKPRSEZGBl5eXhZxV65cISIiArBsWbhbYkyCIAiCIAiCINxn3NzcCA8PZ/369QCsX7+e8PBws65GAL169WLZsmWUlpaSnZ3N1q1biY6Orvb3i5aEB1x6ejqTJ0/m559//sfY0NBQjh49ip2dncW8OXPmMGrUKBQKhTXSLOeotOGt3uG08XcjV6tn7p8X2Xwm3SJOLpMwuXsIXUI8sJFKOJGayweb4sgs1AHwdt+GtPJ3RSmXkVWk56f9SayJvWLV3BesO8t3q86g1ZUQ3daX6aNaoZDLqozdF5vG2/MPcTWziIiQOnwwrg31PewByC3QMeObg+yNTUMikdAh0ovpo1phr5YDcDYhm3e/O0xcUi52ShuG9Azmhcca10wZlh7hu18Poi0uIbpLMNMndUehqPowsO9wEm/P2sbV9AIiGnrxweu9qF+37OqHXl/C9Jlb2bwzHpXShv8b2pIRj7cAIOVqHt0f+w61Sl6+rOeGteSFZ9pWK/fcfC1vfrCRPQcTcXFSMXF0Z/r1bGgRZzKZmPn1nyxbdwKAwf2aMGlMZyQSCQBvfbSJQ8eSSUrJ5r3/9WZgn4r/25W/n+TNDzeitK34P/n640G0buZbrdyrLE9eEW9MW8qevedxcbHj5Qm96deneZXl+fTz9SxfeQCAQQNbM/mlvuXl2b7zNJ998TupV7IJDanHu9MfIyiwbo3nezvs5HJGN21OhLsHBXo9i8+cYk+q5R02prRpR7hbnfL3NlIpVwoLeGXHttpM97Z17x1Kh6hAvP2c2b8rke9m771nueTmaXhj+jL27Lu+3Yx/mH69m1rEmUwmPv1iI8tXHQRg0IBWTH7xYSQSCYePJjBy7Pdm8RqtntmfPkV098acv5DGRzPXc+psCrm5GuKOf2yVsixYfZrvlp9EqzMS3d6P6WPb3vyYevwKb8/bf/2Y6s4HEzuUH1MB9h6/wqc/HiYhJR9HewVTnmvJwx0DOHwqneen/2Fe1uISvvhfF6Lb+9dYWQrztcz/YAOnDiVi76RiyKjOtOvZyCJu49KDbFl+hII8LUqVgjbdwhj6QhQym7Jrtknx6Syc9QfJFzNRqhVExUQy4Jn2NZbnzeTnaflg2gYO7UvEyUXFqAmd6dnbMv9fFxxg49qTpF3Nx9lZxYAhzRj2TGsA0q7m8dSA78zitVoDY1/uytDhra1eBqu4Dx6mNn36dKZMmcJXX32Fo6MjH330EQAjR45kwoQJNG7cmJiYGE6cOEHPnj0BGDt2LD4+PtX+blFJeMB5enreVgXhn8ydO5dnn33W6pWE13qGYjCa6DlnFyGe9nwxKJL4jEIuXSsyixvawofG9Z0Y+v0BCnUlvPFwGK/0COHVVScBWLA/iXc2nsVgNOHnquabYc2ISy/gXHqBVfLedewK81eeYcGMbni4qhj30V/MWRLLpKcsf5xz8osZ//FfvPtCa7q28OaLxSd4eeZuln7UC4Avfj1BXpGebfP6YzKZmPDJLuYsjeV/I8pOECfP2kP31j789HZ3UjOLeOL1LYT5uxDVyrt6ZTiQyPxfDrLgi8F41LFn3OtrmPPDXiaN7mRZhlwN499cy7uv9aRru0C++G4PL09bz9JvhgEw54d9JKXksn35SK5lFTH8xd8ICnCjY+uA8mUc3DAOG5uaa6x8e+YfyG1k7F43jnPxGYx6ZRlhQe4EN3A3i1u65gRb/4pnzcIRSCQSnn1pKd5eTjw+oGxdhQV50LtbGJ9+9WeV3xP5UD1+/frJGsv7puV5byVyuQ17ds7g7LlURo37jrDQ+gQHmZ/gL12+j63bT7Fm2WQkEhgx6hu867sx9LF2JCZlMvl/i/j2y5FERvjx/YIdjJnwPRvXTMHGpuqTLWv6v4hISkpLeX7T7/g7OTOlTTuS8vNIKTDfLz/cb36SPbV9R05nZtZmqnckJ1vD2mUnaRzphdz23v5svv3BKuRyGXu2T+Vs3BVGjf+RsBAvy+1mxQG27jjFmt9eQoKEEWPm413fhaGD29KiWQDH9r1bHnvg0EVGv/gjHduHAmBjI6VXzwiGPtaWsRMXWqUcu46kMn/5SRa8F42Hm5px725nzi/HmPRMC4vYnLxixr+/g3cntKdrK2++WHSMlz/aydKZZXd8uXA5l8mf/MWHEzvQrmk9Cor0FBTpAWjxkCdHl1fszwdirzLmnW10bF6/RsuzYOYWbOQyvlw7nqT4dD59dTm+QR54Vzo+NesQTKfeEdg5KCnM1zL7zVVsXn6Y3o+3AuDLGWtp0TGEN+cMIzMtj7dfWIRvkAfNOwTXaL6VzXx/C3K5jLU7xhN/Lp1Xxy8nKMSDBkHm+ZtMJt58ry+BwR5cSclh4uileHg60P3hhtT1cuKP/ZPKY6+k5PJ4v2/o0j3Uqrlb1X1QSQgMDKzyuQfz588vfy2TyZgxY0aNf7fobnQfWLJkSfnKjY2NJTQ0lNjYWKCsBrl06VJOnDjBU089xcCBAxk4cCA7d+4EICUlhdatK2romzdvplevXvTv35958+YRGhpKUVHFCfjPP//Mo48+Srdu3di8eTNA+Xc//vjjxMTEVHkbrpqglEuJCvVg3l8X0RqMnEjJ468LmfRuZHnVs56Tiv2XssnW6NEbS9lyNp3AOhUtIJeuFWEwmsw+4+2iskreAKt3XuLRboEE+zrjZG/LC4Mbs2rHpSpjt+xPJsjHiV7t/LBVyBg3JIJzSblcSskDICWjkO6tfLBXy3GwU9C9tTcXkvPKP5+aUUS/TgHIZFJ86zrQLNyD+OTc6pdh02ke7fMQwQF1cHJQ8sLwNqzaeLrqMvx1gaAAN3p1DcXW1oZxz7bj3IVMLiVllS9rzPA2ODkoCfR3Y3C/CFZtqHpZNUGj1fPHzjgmjOyInVpB8ybeRHUIZu1my+9cvfEkI4a2pK6HI57uDox4vCWrNpwsn//Eo81o28IfW9vaP4n+m0ajY8vWWF4c2ws7tS0tmjUgqksj1qw/bBG7eu1hnh3ehbp1nfH0dGbE051Ztabs6vDuvedo0awBLZo1wMZGxshno0jPyOPQ4Yu1XSRsZTJa16vPb2fPoDMaicvO4nDaVTr63LoVxl2lJtytDn8lX66lTO/ckf3JHD2QTGGB/p7modHq2bL1FC+OjS7bbpoGENW5IWt+P2oRu3rtEZ59qhN1PZ3x9HRixFOdWLX2SJXLXb3uCL26R6BWlV0kauDvweABrQgO9LRaWVZvv8CjPYIJ9nMpO6Y+3oRVWy9UGbtlXxJBvs706uCPrcKGccMiOZeQw6Xrx8Wvl55gSK8QOrXwxkYmxcVRia9X1X2+V2+/SHR7f9RKeZXz70axVs+hP+MY9FwnlGoFoU18aNYhiN1VHJ8867tg56AEwGQCiURCekpO+fxrV/No37MRUpkUz/ouhDb2JjXhWo3lWhWtRs+fW+N4bmwn1GoFTZr50KFzEJvXW+b/xIg2hIbXxcZGiq+/Gx27BHPyeNX349+0/hRNmvngVd/ZqvkL1iMqCfeBtm3bsm/fPgD27dtH06ZN2b9/f/n7Ro0aMW3aNGbOnMnKlSuZN28eU6dOtTiZv3btGlOnTmXevHmsXr0apVJp8V329vasWLGCjz/+mHffLbuSNG3aNKCssrJmzRqrjbD3c1VjLDVxOUdbPu18RiEN3C27P62JvUITbyfq2CuwtZHycMO67LmUZRbzWs9Qdk/qworn23KtUMeei1kWy6kpFy7nEeZfcaAL83fmWm4xOQU6y9jkPML8Xcrfq5U2+HraE3+9IjDs4RB2Hkklr1BHXqGOLfuS6dS0YoDR033DWLPzEoaSUi6l5nM8LpN2EV4W33PHZUjIIuyGq0JhQe5cy9aQk6etIvYaYYEeFWVQyfGt70R8QhZ5BcVkZhWZLSs00J34RPP//6jB8+k88Bv+9/4mcnI11co9MTkHmUxKgG9FP8zQIHfiq/jxvJBwjbAgjxviPIhPuP1t4+z5DNr0nk3049/y1Y97KCmp+StJiUmZyGykBPhX5BkWUo8LFyxvWRd/MY2wkIrtIyy0PvEXK7romUymG16X/Z2vYjnW5mVvj7G0lKtFheXTkvLy8HG49fGkk48vZ7Oukamt3jbyX1C+3fjdsB+HeHHhomWXzfhL6YSF1jOLi79ouV1otHo2bY2lfz/Lrm7WdCEpl7CAiv05LMC17JiaX/yPsWqlHN+6DsRfLqsknDhX1grVb+xqOj61lFc+/YvcKo7NmmIDm/ck0j8qsEbLkpacjUwmxeuG45NvoAepCVW3ju3dcprnen7GmD5fcPliBlExkeXzoh9rya5NpygpMXLlchbxp6/QqIV/jeZbWXJSNjIbKb7+FfkHhnqQcPHWrXsmk4kTR5MJCHSvct6mdad4+JGHajzfWnUfPEztXhLdje4Dfn5+6HQ60tLS2LdvHxMnTmTevHn069cPg8FAVlYWKSkpjBw5svwzEomEpKQkXFwqTkZPnDhBw4YN8ff3B+DRRx/lgw8+MPuu3r17AxAZGUlGRgY6nQ6EyHpEAAAgAElEQVRbW1vrFxJQyW0o1JWYTSvUlWBXRZ/4yzka0vN1bBrXkZLSUi5mFvHx4jizmI+2xPHJH3E0ru9EC18X9Ebr7Xya4hIc1BVdseyvvy7SGnBxsLWIdXU0n2avllOkNQDQsIErhpJS2gxfDkDbxnUZ2quiKblLi/pMmb2XH9acxVhq4oXHGtM42K36ZdDqcbCvyMv++usijR4XJ1WlWAOuzubT7O1sKdLo0WjKrqY62FUsy8FeQdH16S5OKpbNf4LwIA9y87W8/dk2Jr+9ge8/G3T3uWv02NuZ/5862NuWf2fl3G8sp4O9LRqtHpPJVN6P/2ZaRvqw7udnqVfXifiEa7w8dQ0ymZRRT1dvPIVFjho99nbmlXgHeyVFmipObDQ67B2UZnEajQ6TyUTbNiF8Out3Dhy6QNNIf+b/sB2DwUhxce1f8VbKbNCWmO/fmhIDSptb/8x08vFl5flz1kztX6Pq/UBJUdFNthv7ytuN5X6wZdtJXJztaNWigfUSr4KmuAQHu4qr+fZ2NxxTHZUWsa5OlY6pdoryY2p6loY1Oy7y/Ts98XBVM2XWbt6dd4BPXzHvSvnH3su4OCpp1bhmx+wUaw2oKq0Xtb0t2iqOTwDtejaiXc9GpCVns2vTKZxcKy6UNW0XyLx317NhyQFKjSYGjGhPYHj1LxLdilZrwK5S/vb2tuXH+pv54evdlJpM9O5vOWYu9lgKOVlFdOkRVqO5CrVLVBLuE23atGHHjh1kZWXRunVr3nnnHXbu3Enr1q0xmUyEhobyyy+/WHzuTh+7/XeF4O8Hc5SUlNRaJUFrKMG+Un9eO1sbivQlFrGv9QhFbiMh6vM/0RqMPN3aj9mPRfLMT+bdMUpNcCIlj96N6jKoaX2WHqn+Y8gB1v2ZwLRvyrp0NA93R620ofD6DxJQ/tpOZdlkrVbaUKgxmE0r1BrKYyd+uptQP2e+nNIZk8nExwuP8uoXe/l8ckdyC3SMfGc7bz3Xkr6d/LmWU8yLn/xFHSclwx4OubMybDnLtE/LBuw1j6iPWqWgsKjioP/3azu15TgUtUpuFgtQqNFjp1agvh5fqNFje319Fhbpy5djp1bQOKzsR7iOqx1vTexGx/7zKNToyytXd0qtVlBY6UToxu+0zF1nFqdWKf6xggDgc0OzeGigOy+MaMf3vx6s8UpCWXnMr5gWFumwU1vui2q1LUWFxTfEFaNW2yKRSAgM8OTDd4fyzvsrybyWT78+zQlq4ImnZ+037xcbS1BVqhCobWwoLrHcv/8W6uqGs1LJ/iup1k7vX6Hq/aDY4gSvLLbydqNDrbbcD1avO0L/vs1va/+ojnU7LjLty7IW8+aNPC2Ok4XXT0hv+5iq0ZfH2ipkDOweTEB9JwBGPdaYZ9/YYrGc1dsuEBMVWONlVarkaCutF22RDtU/HO/q+rjiHVCHBTO38NL7AynM1/LxpN8YPrEH7Xo0Ije7kNlvrsbRxY4eA5vVaM43UqnkFhXNokJd+bG+KisWH2HTulN8ueCJKm9+sXHtSTp3D73lMh4IVrgF6oNEdDe6T7Rp04b58+fTtGnZ4MpmzZoxf/582rZtS9OmTUlKSirvggRlYxdu7GYA0KRJE86cOcPly2V9e1etWnXb329nZ0dhYeE/B1ZDUrYGmVSCzw1jB0I87LmUWWQRG+rpwPqTV8kvLsFgNLH0SAoP1XPCqYofEACZVIK3i/r/2bvvuKau/oHjnyQECCBbUJEhQ9y4rVtRUau4raNVn9q6Wu3SttY+v6pd+tT69GmdddTax+Leq+696sSNgoIMAWVDQgJJfn/EBkLAScQ+nvfrxeuV3JzcfA+59+ae+z3n3HKLNbx9Dc5FDOJcxCAW/18ogT5OXI8t6jcaFZuBu7OtWRYBINDbtKwyv5D45FyCvA0/YNdjMxgUFoSdrRX2CjmDuwZx+JxhZqb4lFxkUil9OvpjJZNSxd2OV9v4cejck59EhYfV5tzu9zi3+z0Wf9+fwBpuXI8uSh9HRd/D3dXOLIsAEFjD3aSsUlVAfGImQTXccKpkS2U3e65Hp5qsK8iv9GzHX7/Hep2+1Ncfh5+3C1qtjtj4olvRR0WnElTD3aysIfbUEuWeLhMjQQJPH3aZ/Hwroy3UERtX9D++HpVEYKD5Fc6ggCpcj0oyKVe8r3i3sBC2bfyEU0e+5r13upGYlE79es8+q8WTuptr2HarFJs9zdfJificssc4tff24c+7iai12ucR4t9eqdvNjbsEljJ2IMjfk+s37pqUCyox69Xd5Ez+PHPruXQ1Cu8YwLl1b3Bu3Rssnt6FQF9nrt8udky9/eCY6mjeTbZkWWV+AfHJOQT5GBrDwX4uFD/vl2DeCLh7L48/LyWXe1cjMJzsa7U6kosdn+5Ep+JVw7wbTklarY7UREPdUpMykUoltO1eH5mVFDcPR1p2rk3kScuOMfL2dUVbqCM+rij+6BuppXYjAti2MZIVv5zkP4uH4OFp3p1QnV/AgT1RdA//m3c1gpe+u5FoJLwgXnnlFRITE2nZsqXJ81deeQUnJyfmz5/PvHnz6NWrF927d2fu3LlmjQR3d3emTZvGqFGj6NOnD+np6cjlchSKRw/oHTlyJMOHD7fowOX8Ah0Hou4xtq0/tnIpIV5OtA+szI4r5v1kr9zNpke9qtjbyJBJJQxs7EVqTj5ZqgJc7OSE1fZEIZchlcArNVzpWrsKp2PTS/nU8tGnvT/r98UQHZ9Fdp6GBWsv07dj6en5Li28uRmfxa4Td1BrtMxfc4lgX2f8qxsaCfUC3Vi7N5p8dSH56kLW7I6mpq/hx65GNUf0ej1bD99Gp9NzL0PFjmNxBPu6lPpZT1SHbnVYv/0S0bfTyM7JZ8FvJ+nb3XyKO4AubQO5efs+uw7eQK0uZP6vJwgOqIy/r5txXQuWnyIrJ59bcWms3XqJvg+my4u8cpdbd9LR6fRkZKn45sf9NG/kbdIF6EnZKazp0r4mPy05ilKl4dzFBPYduUmvrubx9+lWj19XnSblXg4p93JYtvJP+r5alA7XFGhRqwvR66FQa3ise9CAOXwihvvphkbrrbg0Fvx6nNC2gU8dd5n1sbOhS+f6/DTvD5RKNWfP32bfwcv07mk+s0vv8KYs++8hUlIySUnNYtlvB+nbu7nx9ctX49FqdaSn5/J/X64htENdAmpYbsBpWdRaLX8mJfJarTrYyGQEu7rStEo1jpQxIFkuldLSqzoH77y4A5b/IpVKkMulSKUSk8fPm53Cmi6d6vHTgt0oVRrOno9l38Gr9O5hfpW5d3hjlq04QkpK1oPt5jB9e5k2BjZvO0ejEF98vE0b0Xq9HrW6gIICQ+NNrS5AU0rG91n0CQ1g/e4bRN/JJDtXzYLVkfTtXPq+1qWlLzfjMth1LBa1ppD5KyMJ9nPB39tw3OzXOYgNe6OJT85BlV/I4nWX6FBiNrjNB2JoVNujzAHNz8JWYU2z9sGsW3KEfJWGGxcTOHs0mjalHJ8ObI0kK8NwjEm8fZ+t/z1JnQdjDqp4G8YEHN99BZ1OT2ZaLif3XcO72PgwS1DYWdO+UzBL5h9BpdRw8XwCRw9G07Wnefy7t19h0ZzD/PDzILyql56xPLT/BpUcbWjc3NeicQuWJ9GXPNMU/tZyc3NxcDDMHb1+/XrWrVvHypUrLfJZTWc++ZzmjrZWfPFqHVr4uZKlKmDOoWh2XU2hYXVnfnothHb/NkxL6WRrxaQuwbTwc0UukxBzL48f9t/kyt1snBVy/tW3PjU9HJBIJCRn5bPqbDybIp/8Pgmnw489dtllWwz3ScjXFBL2ig/TxxbdJ6Hn+9sY068u4e0NU4Aej7zLV0vOkHQvjwZBbsyY0JLqD+b0TkjJ5eulZzj/YLBd/UA3/vl2U/yqGX68Tl5K5vvfzhN7Nwdbaxkdm3ox5a2mKEqberHyk/WtXbbqDEsiTpOvLiSsfRDTJxXdJ6HnsF8ZM6wF4WG1DXU4E8dXP+wjKTmHBnWqMGNKN6pXNTR0it8nwdbGireHFt0nYdvea/yw6CjpGUoc7Gxo1cyXSePaUdnNfIA6ANLH6/WYma3i8293cvx0LM5Otnw0tgPhYXU4cyGe0ZPWcm7vR8CD+eHnH2TdVsMMYQPCGzDpnQ7GLgbDxkdw+ny8ybqXzxlCi8Y+/Gvufrb8cQWlqgA3Vzt6hdVl3JutkD9iOlFJpSc/Kc/MymPKF6s5fuIGzs52THy/B+E9mnDm7C1GvbOI86dmGusz64dtrNtgyCQO6PcKH39YdJ+EISPmcD0qCbmVlG5hIUye1Bu7UrotPcygP8z7tD8Ne7mccY2aUL+yB7kaDREP7pNQy9WNz1q2ZsT2LcayrbyqM7ROPcbv+aNcPtt2mXlGsrz0GdyAvoNDTJZtXBXJplUXy/Vzlq989AlsZpaSKVPXcvzkDZyd7Zn4nuE+CX/d++CvqU31ej2z/rPD5D4JH3/wqklXm259ZvHWiPYM7Nvc5DMSEtPp1GOmyTKvqi7s3/nZI+PTJ1x9ZJm/LNt4hSXrL5Gv1hLW2pfpxe6T0POdTYwZWJ/wjoYr/8cvJPHVwpMkpT6498yHbajuWcm4rp9+P8/K7YaxLW2bePH5mBY4Fbsw0X3sBt7qV48BYQ/vtnnG+enGK5jcJ8FRwaCxhvskXI+MZ9akNSzdY5ga9OdvtxN5Iga1qoBKzgqad6zFgLfbYf3g+H7lbCyrFhwkOT4DaxsrGrUOZNj7nbF5gtmY/Co9ukxJxe+T4OisYOz7hvskRJ6LZ9I7a4xTmw7svoDU1ByT+1mE9ajLx//Xzfj8o7GrqV2vKqPGm0+v/bgq27751O8tT/q478t9nRLfSeW+TksRjYT/MQsWLOCPP/5Aq9Xi5OTEl19+SUBA+adX4ekaCS+aJ2kkvJCesJHwQnrMRsKL7GkaCS+S8mokVCRLNhKel8dpJLzonqSR8CJ62kbCi+RpGgkvGtFIeDH8/X+dBRPjxo1j3LhxFR2GIAiCIAjC39tLPnBZNBIEQRAEQRAEoaRnmHDjf4EYuCwIgiAIgiAIggmRSRAEQRAEQRCEkl7y7kYikyAIgiAIgiAIggmRSRAEQRAEQRCEkkQmQRAEQRAEQRAEoYjIJAiCIAiCIAhCSS/57EaikSAIgiAIgiAIJYnuRoIgCIIgCIIgCEVEJkEQBEEQBEEQShKZBEEQBEEQBEEQhCIikyAIgiAIgiAIJYmBy4IgCIIgCIIgmHjJuxuJRoLw1JaMiqvoEJ7ZFYlXRYfwTGaccKroEJ7ZvC4FFR3CM8vWJFZ0CM+kVx37ig7hmb2+0rGiQ3hmI4ZkV3QIz6zDlr0VHcIz0V0dWdEhPLNqdrkVHYLwP0I0EgRBEARBEAShpJe8u5EYuCwIgiAIgiAIggmRSRAEQRAEQRCEksSYBEEQBEEQBEEQTLzkjQTR3UgQBEEQBEEQBBMikyAIgiAIgiAIJej15T9wWVLua7QckUkQBEEQBEEQBMGEyCQIgiAIgiAIQkliTIIgCIIgCIIgCEIRkUkQBEEQBEEQhJJe8kyCaCQIgiAIgiAIQknijsuCIAiCIAiCIAhFRCZBEARBEARBEEp6ybsbiUyCIAiCIAiCIAgmRCZBeK5ys1Us/HYnF/+MpZKTgiHj2tMmrI5Zue2rTvPHurPkZKqwtbOmZadavPFuR2RWRe3aHavPsGPNGbIzlLh5VuLjf/Wnmo+rxeuQk6Vi/rd/EPlnLJWcFbwxth1tu5rXYevK0+xYd+5BHeS07lSL4eOL6jC270Ky0pVIZYZbqwTX9+KLH1+zePwA9nI5oxo0pb67J7kaNaujLnM8Kb7Usn6OzgyrE4KfkwtqbSGbo6+zKzYagCAXN4bVCaGaQyXuKfNYdvk8NzLSLB5/VpaSb77YwqkTMTg72/HO+53o2qOBWbn/LjvGji0XSE7KwsnFjv6DmjHszdZm5c6djmXcyF95c1Rbxr7XyeLxA2Rnqfj3l7s5ezIWR2cFb41vS2j32mbl1v9+lk2rz5OdqcJWIadDWDCj329v3I5+nX+MYwejuRObxutvvcLwMa2eS/wAqhwVW37cwq3zt7BztCN0RCj1O9Qvs7y2QMvPE35GrVLz4fIPjcujTkWxf/l+MlMz8fTzJPy9cCr7VLZIzJlZSj6ftpZjJ27g4mLPRxO6E/5qI7Nyer2e73/cybqNfwIwoG9zJr3fHYlEwplztxn17lKT8kqVhp++H0bXzvW5EZ3Mv2Zv4/K1BDIzlURd+M4idXlcnV8Npk1oANV9nTl5JJYlPx2v0HjKUueD/tT/ZDBWdjbErj/MiXE/otMUmJXzH9qJVguLth+JVIKVnS1bmo4l7dxNGk4dTsiU19Gqi967KWQUubfvWix2VY6KP+ZsIfbCLRSOdrQbFkqd9ub7wtGVBzm59igyucy47M0fx+JcxQWAP+ZtI/5yHBl30+g+oRf1OzW0WMwPk52lYtaXuzl7Ig5HZwWjJrShUynHp7UrzrJp9QWyMlUoHhyfxn7QzuS3+m/tJc8kiEbCExg2bBgjR46kY8eOFR3K39bS7/dgJZexaNt4Ym+mMnPSWnwDK+Ptb3pC0KRNIB161Me+ki252Sr+PWUTO9eeoeeQ5gDs2xLJgW0Xmfz9ALz83EhJzMTB0fa51GHx7D1YyaUs3f4usTdT+XbiOnyDPPDxdzcp16xtIKE9DXXIyVLx/eeb2b72LL2GNDOWmTyrHyHN/Z5L3MX9o24jtDod7+zdiq+jMx83a0NcdhaJudkm5Rzk1nzSvA0rrkbyZ3IiVhIprgoFYGhoTGzail8uneN0ciKtvHyY1Kw1H+zfibLQ/Ie9PM36ZgdyuYydBydx43oyH70bQVBwFfwDPUwL6vVM/aYvgTU9SYzP4L0x/8WziiNh3Yt+vAsLtPz7Xzup28DLojGXNOdf+7CSS1mzZxwxUal8/v5G/GtWxi/AdDtq2S6Arr3q4lDJluwsFV99spWNq84x4I2mAFTzdmbU++3Ytj7yucYPsGPBDmRyGRNXTCT5VjIrp6/Es4YnHr4epZY/vuE4dk52qFVq47K0xDQ2fr+RodOGUr1WdY6vP86qr1bx7sJ3kcrK/0TjyxkbkctlHNv/BdeikhgzYRm1alYlKLCKSbnV60+x98BlNq/5AAkS3hy3mOpeLgwZ2JKmjWtw/sTXxrKnTscw9v1ltG0dDICVlZRuYQ0Y8lpL3v1webnX4UllpCvZsvYS9RtWRW7zYv7sVwtrSoNPh/BHp4kok9II3TCdRtNHcPazJWZlb0Xs41bEPuPzwBFdCfnnG6Sdu2lcdnv1QQ4Pn/FcYgfY8/MOpFYy3l0+kdTbyaz7aiUeNTxx9zHfF2q1qUvPj/qWuh4PP09qt6nDweX7Sn39eflx5n7kVjLW7x1LdNQ9pjw4PtUocXxq1T6A7r2Ljk/TPt7GhlXnGfhGkwqKvJyJgcvCXwoLCys6hBeCpf4P+SoNpw5G8dqottjaWVMrpDpN2wRx5I8rZmWrVHfBvpLhpF+vN1wpSk7IBECn07P+l2MMfz+U6jXckUgkVKnugoOjwiJxm9XhwA2GjG6Lws6a2iHVado2kEOPqAOARCIhOSHD4jE+io1MRvOq1Vl74wpqrZYbGWmcS0mijZePWdlX/Wty6V4Kx5PiKdTpyNcWkpSbA0BNF3ey1Pn8mZyIHjiWeIdstZpmVS17sq1Sajiw5ypjxnfEzs6Gho19adshmJ1bzU+Sh41sQ6061bCykuFbw512HYO5eN40Y/L78uO0aBWAn5+72fstRaUq4Oi+m/xjXGsUdtbUa1Sdlu0D2Lv9qlnZat7OOPy1HT3YF5LiM42vh4XXpXnrGtjZWT+v8AHQ5Gu4dvwaHd/oiLXCGp+6PtRsUZOLBy6WWj4jOYNLBy7ReqBpJifmXAw+dX3wqeuDVCal9YDW5KTlEHspttxjVqo07N57mfff7Yq9nQ1NG9UgtH0dNm8/Z1Z205azjBzWjiqeznh6OvHmsHZs3HK21PVu2nqWbp0bYKcwfAf+fh4M7NucoADPcq/D0zh7Mp5zp+LJzdFUdChlChwexo1fdpJ5NQ5NZi6RX68gcETXx35vzH93WzjCsmnyNdw4cY22rxv2hep1fAhsXpMrZewLD9O4RzN8Q/yxsq64xpxKVcCRfTd58x3D8al+Iy9atgtgz/ZrZmW9ih2f9HqQSiUkFjs+CX9vL+YlhecoODiY8ePHc/DgQdq2bcvbb7/NjBkziIqKQq1W06JFCz777DNkMpnJ+3Jzc8ss98svv7B9+3a0Wi02NjZMmzaN2rVro1Kp+PTTT4mOjsbKyooaNWrw448/ArBx40YiIiLQarU4ODgwbdo0/P39S415586dbNy4kUWLFgGg0WgIDQ1lzZo1VKtWjUWLFrF79260Wi2enp589dVXVK5cmRMnTvCf//wHtVqNVqtl7Nix9OjRAzBkSWrVqkVkZCROTk4sXry43P/Xd+9kIJNJTboE+QZV5ur50ru5HN19lSXf7UKl1FDJWcGwCaEApKfmkJaaQ3zMfRZ8vQOpTEq77nUZMLINUqmk3OMuLulOBtISdfAL9OBKGXU4susqP3+3G5VSg6Ozgn+8Z5qF+nHaNvR6PTVqejJ8fAf8gkq/AlueqthXQqvXkZyXa1wWl5NFbVfzk+RAZ1fic7KY2qojnnb2xGSm8+vl86TlqwCQYPr/lkjA28HJovHfiUtDZiXFp9hJfVCwJ+fPxD30fXq9ngvn7tB3YNEVrrtJmWzddJ7f1ozh+292WCzmkhLj0pHJpFT3LdqOAoIqc/FcQqnl9++8xo8z9qLM0+DkrGDMh+2fV6hlSktMQyqT4ublZlzmWcOTuEulfw9//PwHocNDkVvLzV8sdrFOr9ej1+u5F3cP/4alHwOfVmzcPWRWUmr4FmUua9Wsyumzt8zK3ryVQq3gaiblbsYkm5VTqjT8sfciC398s1xjfdm41PUjfktRN6j0yBjsqrhi4+qIOj27zPfZ+3jg2a4+R9+aZbLcO/wVht7fiPJuOtfmbSJq4VaLxZ6RlIZUKsW12L7g4edJ/JXS94Xo0zf46fXvsHepROMezWjUvanFYnsaCXEZyKykePu6GJcF1KxM5NnSj0/7dl7jh2/3GY9P4z6q+ONTuXnBuxupVCo+++wzrly5gkwm49NPPy21t8vevXuZP38+Go0GvV5P//79GTly5CPX/9I3EgBsbGxYv349AJ9//jnNmjXjm2++QafTMWnSJNavX89rr5n2FZ8xY0aZ5fr06WP85x8/fpypU6eyZs0ajh49Sl5eHjt2GE5GsrKyADhz5gw7d+7k999/x9ramkOHDjFlyhRWrVpVarxdunThu+++Iz4+Hm9vb3bs2EFISAjVqlVj8+bNxMfHs2bNGqRSKREREcycOZPZs2dTp04dIiIikMlk3L9/n379+tGmTRucnAwndfHx8URERGBlZZnNIl+lQWFvY7LMzt6GfGXpV7fahNWhTVgd7sanc3jnZZxd7QBIu2f4wbj4521m/Xckeblqvv1gNW6VK9Gpt2X7b+arNNiVrIND2XVo27UObbvWISk+nUM7ruD0oA4AH0zrSY1gw5XG7avP8tUHa/lp1Vsm2QdLsJVZoSowzRapCgqwtTI/eXO1VeDn5MzMU0eIz8liSK36jG/UguknDnIzIw1nW1taVvPmz7sJtKrmg4edA9YlGtTlTanUYF/iO3BwsEWZpy7jHQaL5x9Ep9PTs09R//PZM3YyZnwodnY2D3ln+VOpCrBzML3yb+9gg7KM7Si0e21Cu9cm4U4Ge7ddxcXV/nmE+VAalQYbhen/zdbOFo3KvA7Xj19Hp9NRq1UtYi/Gmrzm39Cffb/uI/ZiLN61vTm27hjaQi0F6vLvsqZUanAose1UcrAlr5RtR6lU4+Bga1JOqTT8wEokRY3j3fsu4eJsT/Om5dugedlYOSjQZOUZn//1WF5J8dBGQuDwMFKOXCI3tqgBd3vNIaIWbSc/JYPKLWrRcd00NJm53F51wCKxa1QabEocQ2zsS98XarWuS0hYE+yd7bl7I5FN/1qLjb0tddrVs0hsT0Ol1GBnX/L4ZI2qjONTp+616fTg+LR721Vciv3OCZa1dOlSHBwc2LNnD7Gxsbz++uvs3r0be3vT34jKlSuzYMECPD09ycnJoV+/fjRo0ICmTR/eQBWNBKBv36K+gfv37+fixYssW7YMgPz8fDw9zVPGDyt3+fJlfv75Z7KyspBIJMTGxgJQq1YtYmJimD59Os2bN6dDhw7GdV2/fp2BAwcChitp2dllHxStrKwYNGgQq1at4uOPPyYiIoIPPvjAuK7Lly8b6/RXZgIgPT2dKVOmEBcXh0wmIysri9u3b9OwoeHEOjw83GINBABbhTWqEj/GyjwNto/oJlHV25XqNdxZ8v0eJs3oi/WDK5G93miBfSVb7CvZ0ql3Q86fuGXxRoKtwtrsZFSVp35kHap5u+Lt787iWXv4ZKbhu6kVUt34er8Rr3Bgx2WuXkigWdvA8g+8mHxtIQq56fessLIiv5RxBBqdljPJSdzKMnST2nDzGj+H9UJhZUVugYZ/nznO0NoN+EfdRly8l8yV+6mkP8gyWIqdnbXZSV1entqs8Vbc2ohT7Ngayc+/von1gzT+kYNRKJVqunR7/j/OCoUcZa7pD25enuaRXYaq+7jgG+DGTzP3Mu373pYM8ZGsFdYmYwsA1Eo11grTOmjyNexdtpch04aUuh53b3d6f9ibnQt3kpuRS/0O9ansXRlHd8dyj9nOzprcEttObl6+WaPTUNaGvNz8YuXU2NlZmzQQwNDVqE/PJmbLhYcrPvg45cglCnNVyB2LTi6tHQ0nOQU5Dz+eBA7rQuSMCJNlWdeKruCnnrjK1Z824Ne/ncUaCdYKa9TKR+8LAO7FBuR71Zu5eXMAACAASURBVPamSc/m3Dh+9YVqJCjsrFHmmR6flHkaFI9xfPILcOM/M/bx5exelgzx+XnBMwk7d+5k5syZAPj5+VGvXj0OHz5M9+7dTcqFhIQYH1eqVImAgAASExNFI+Fx2NkVHZj0ej3z58/H29v7oe8pq5xGo+H9999nxYoV1K1bl5SUFNq1aweAt7c327Zt4+TJkxw+fJgffviBrVu3GlM/77///mPH/Nprr9G3b19CQ0PJzs6mZcuWxrjGjRvHgAEDzN4zbdo0QkNDmTt3LhKJhK5du6JWFx3Yiv8fLKGqjwtarY678elU9TZ0s4iLTsW7xqP7guu0elISDSeq1XxdsZLLoFhXl+f1+1zNxwWdVkdSfDrVHtQh9uY9vP0fXQetVkdyYtl9NQ11sPwgqeS8HGQSKZ52DqQoDV2OfBydScgxb5jGZ2ehLxaTvkR819Pv88Wx/QBIJRJ+6Nid7bduWDB68PF1Q1uo405cGj6+hvT+zahk/ANKnw1ny8ZzLF96lJ9/fRPPKkVdoU6fusW1K0l072DoppCXq0YqlRB9M5Xv55R+QltevHxd0Wp1JNzJoLqPIaV/6+Y9fP3dHvFOw3Z0NyHLovE9DjcvN3RaHWmJacYuRym3U6jsa/o9pCelk5maya+f/gqAtlCLWqlm9huzeWv2Wzh7OlOnTR3qtDHMEJafm8/5PeepFlSN8ubnWxltoY7YuHv4PYjz+o27BJYydiDI35PrN+7SoL6PsVxQgOng5rvJmfx55hZf/rN/ucf6v67k4ON2K6bgGhJA7NpDALiG+KNMTn9oFsGjVV0U1dyIXXf44R+mx6KNOJdqbuh0OtKT0nCtZtgX7t1Owd370TN0SSQS9C/Y2Njqvi5oC02PTzE37uEX8BjHp0IdSQn/Q2MSLDBwOTs7u9QLwY6Ojjg6PtnFkaSkJLy8isYBVq1aleRk826RxcXExHDhwgWmT5/+yPWLgcslhIaGsmjRIrRaLWC4+h4fb97fvKxyGo2GwsJCqlatCkBERNEVjuTkZGQyGZ07d+azzz4jPT2dzMxMQkND2bx5s/GL1Wq1XL58+aFxurq60qpVKz766COGDh1qPACGhoYSERFh7Mqk0Wi4fv06ADk5OXh5eSGRSDh27BhxcQ/vw13ebBXWNG9fkzWLj5Kv0nD9YgJnjtykbbe6ZmX3bYkkK92Qbk64fZ9N/z1B/Sa+ANjYymnZqRZbfz+FKk9NWmo2+zZH0rh1wHOpQ4sONVn1Vx0iEzh95CbtS6nD3mJ1iL99nw2/naR+U0Md7iVncz0ygYICLRp1IZtWnCInS0WtBtXN1lPe1Fotp5MTGVCzDjYyGTVd3GjiWY2jiXfMyh5KiKVZFS98HZ2QSST0DazD9fT7qB4Mbvd1dEYmkaCwsmJo7Qakq5Rcup9i0fgVdtZ06FybRfMOoFJqiDx/h8MHougeHmJW9o9tF1nw4z7mLB6Ol7fp9LhjxoeybtsEVqwby4p1Y2nbIZje/Zvwf19b/gq9QiGnTWgQyxceQ6Uq4PKFRI4fjKZzD/OpdHdsvEhGuhKAuFtprFr2J42aFw0yL3ywDel0erRaHRp1IVqt5a9+WdtaU7tlbQ7+fhBNvoY7V+8QdSqKBh1Np6L18PXgg18/YMycMYyZM4bw98Kxd7ZnzJwxxmxBUnQSOq2OvKw8ts3dRnCLYNy9y38guZ3Cmi6d6vHTgt0oVRrOno9l38Gr9O7R2Kxs7/DGLFtxhJSULFJSs1j222H69jKdsWXztnM0CvHFx9v05Emv16NWF1BQYPh9UKsL0GgqbmIMqVSCXC5FKpWYPH6RxPx3D0Eju+NU2xdrJ3tCPn+D6OW7HvqewBFhxK0/QmGuabbBp1crrJ0NGXT3ZsHUntCXO1ssN+2rta01NV+pzdEIw76QcO0ON/+Mom5H82mZb56KIj9XhV6v5+6NRM5u+5OgFsHG17UFWgo1haDXo9PqKNQUon/OM+woFHLahgaxbMHxouPToRi69DCfAnX7xkvG41PsrTQilp2mcXPzSTCEIsuXL6dTp05mf8uXm8+E1rdvX1q0aFHq31/nn08iNTWVd955h6lTp5baS6YkkUkoYcqUKcyaNYvevXsjkUiQy+VMmTLFLGPwsHLvvfceAwYMwNnZma5di2ZniIqKYvbs2QDodDpGjx6Np6cnnp6efPDBB4wbNw6tVktBQQHdunWjXr2Hpx8HDBjAH3/8YdJdqk+fPmRmZvLGG28Ahh+rIUOGUKtWLSZOnMj06dOZM2cO9evXJzg4uKxVW8zbH4ex4JudjO4xFwcnW97+uCve/pW5diGeGRPX8tu+jwCIupjA6p8Pk68qwNFZwSuhtXhtVFvjekZO7MKimX8wtvd87B1sCO0VQsee5gdkSxg1qQvzvt3JyFfnUcnJltEfh+Hj787VC/F889E6ft9vSKFfv5hIxMIjxjq0DA1myGhDHVRKDT/P2kNKYiZyaxk1gjz4/N8DqORk+RmaAJZdPsfoBk2Z3zmc3AINyy6fIzE3m2AXdz5p3oa3dm0C4GraPVZfv8ykZm2wkcmISr/PvPOnjOvp6V+Thh6GBvHFe8n8cPbEc4n/k3/24Ov/20y3DrNwclLw6T974B/owfmzcXw4bgUH//wcgIVz95OVpeLNwYuM7+3WswGTvwjH3t7GpJuJjY0VCoUcJ6fn0592wuROzJ6+i9c6z6eSk4L3P+uMX4A7l84nMGXCBrYefQ+AK5FJLJt/jHylBicXO9p1rsk/xhXNEPTvr/ewZ1vR7FoRS08xaWpXuvayfPeFV995lS0/bmH267NROCp49Z1X8fD1IO5yHBHTIvhs3WdIZVIcXByM71E4KJBIJCbLdi3aRcrtFKQyKXXa1CHs7TCLxTx1Sl+mTF1Lq47TcXa2Z9qUvgQFVjHe++CvqU0HD3iF+IR0wgf+GzDcJ2HwgFdM1rVp21neGmE+SDMxKYNOPWYanzdo8TleVV3Yv/Mzi9XrYXq9Vp++g4sa0a07+LNxVSSbVj357DuWkrjrNJdnrab7/tnIFNbErT/C+alFJ019Li3l4owIY/ZBZiPHb2AHDgyYZrauGoM60nrpx8hs5OQl3OPSd6uI/s2ysx91GfsqO+dsYd7w2dhWUhA29lXcfTyIvxLHui8j+HC14bu/duQyO+dsQVtQSCU3R1r0a0W90KLvZs20FcRfNlzAS7yewK552xj89XB86vtZNP6S3v8slFnTd9O/0wIcnRV88FknagS4c/FcApMnbGTHsQkAXL6QxC/zjqF6cHxq3zmIke+Y34vmb8sC3Y1GjBhhct72l9KyCBs3bnzouqpVq0ZiYiKuroaLYHfv3qVFixallk1LS+PNN9/k7bffNuuOVBaJXv+iJbqExzV//nzu3bvH1KlTK+TzL6T9UiGfW56sJH/vzX/GCcvOJPQ8zOti2XsqPA/ZmpyKDuGZHLlb8QOhn9Xr1R0eXegFN2JI2V1r/i46bPm1okN4Jrqrj57x5UXXzTv30YVecF72Yyo6BAB020aX+zqlPRc9utBjmjNnDikpKXz99dfExsYydOhQdu/ebRyL+peMjAxGjBjB4MGDGTp06GOvX2QS/qZ69OiBTCZj6dKljy4sCIIgCIIgPJkXfODyW2+9xeTJk+nSpQtSqZQvv/zS2ED48ccf8fDwYMiQISxatIjY2FhWr17N6tWrARg+fDj9+z98PJVoJLzA1q5dy4oVK8yWz5w5k+3bt1dARIIgCIIgCMKLwM7Ojp9++qnU14pPhvPpp5/y6aefPvH6RSPhBTZw4EDjtKiCIAiCIAjCc/ScB42/aEQjQRAEQRAEQRBKesG7G1mamAJVEARBEARBEAQTIpMgCIIgCIIgCCXotS93dyORSRAEQRAEQRAEwYTIJAiCIAiCIAhCSWLgsiAIgiAIgiAIJkR3I0EQBEEQBEEQhCIikyAIgiAIgiAIJehf8u5GIpMgCIIgCIIgCIIJkUkQBEEQBEEQhJJe8jEJopEgCIIgCIIgCCVpX+47LotGgvDU6q7ZVdEhPDNZiE9Fh/BMvvjhRkWH8Mwq5TpXdAjPzD5TXdEhPJPXgILbWRUdxjPRv9WuokN4Zh227K3oEJ7ZwV7/qOgQnsnC3yMqOoRnZtOsakWH8Ox6janoCAREI0EQBOGl93dvIAiCIFiCGLgsCIIgCIIgCIJQjMgkCIIgCIIgCEJJL/nAZZFJEARBEARBEATBhMgkCIIgCIIgCEJJL/mYBNFIEARBEARBEIQS9KK7kSAIgiAIgiAIQhGRSRAEQRAEQRCEknQv983URCZBEARBEARBEAQTIpMgCIIgCIIgCCW95GMSRCNBEARBEARBEEoQd1wWBEEQBEEQBEEoRmQSBEEQBEEQBKGkl7y7kcgkCIIgCIIgCIJgQmQSBEEQBEEQBKGklzyTIBoJQoX47VwqS8+kkl+oo0ugM1+EVsfayjyxFXk3jzkn7nI1RYVMCs2qO/BZh+pUtpcDkJ1fyMxDiRyNzQFgUAM33m1Z9bnU4dddMSzdEY1Ko6Vr06pMHd4Aa7nMrJymUMfHP5/l8u1MktJULP+0Fc1ruZdaru8XB8nLL+Tgv8OeRxVw6d8L10H9kNjYkHvkOCk/LkBfUGhWzsrTg4DfF6NTqYzL0ldtIO33NQBU+fg9HEPboS8seu/N3kMtPsf08uN3WXI0ifwCHWF1XJkaXqP07Sg+h5/2JXDlbi4yiYRmNRz5/FU/KleyNimnKdTRb/5F8jQ6DkxqbNHY//Lb2VSWnk4x7AtBznzRybv0OiTlMef4Xa6mKJFJJYZ9oWN1KjvIjbHPOJjAvugsCrV6GnnZ80UnbzxL1LG8WbXpg7z9QJDbor18FM3GuaAtMCsn8fDB+rWJSN0M+6cuIRrN1oXoU+8AYPPml0j96hW9QWaF/n4C+f95p9xj/nXTFZasu4RKraVra1+mvduy1H0X4MSFJL5ceJK79/JoULMyMz5sg5eHg/H14xeS+H7ZGW4nZOPoYM3kt5vRvW0NzlxOYfS0PSbrUuYX8uNnHeja2q/c61Tng/7U/2QwVnY2xK4/zIlxP6LTmH8P/kM70Wrhh8bnEqkEKztbtjQdS9q5mzScOpyQKa+jVRe9d1PIKHJv3y33mJ9E51eDaRMaQHVfZ04eiWXJT8crNJ7SyFr2Qd52AMht0F45SsHWeaA1P55KKntj3X8iEtcH+0JSNAXbF6K/F19UpmoA8ldHI60aAAX5FBxag/bkFovX4dfDiSw9EI+qQEfXBu5M7RdY6vHoQlw2P+2K42pCLlIpNA9wZkrvADwcDcebpQcT2HQmhaRMNS52VgxpVY23OlS3ePzlTQxcFspFcHAweXl5FR3GM3se9TgWm82SM6ks7R/A7pF1SMhSM+9kcqlls/O1DKznzu6Rddg9si52chn/3H3H+Pp3h5PIL9Sxa2QdVg4OYuv1DDZeSbNo/ABHL6WyZMdNfvmkJfu+70z8PSVzNkWVWb5xkCvfjW6Mu5NNmWV+2RmNi4VP6Iqza9oI18H9if/4/7j1+tvIq3riNmLoQ99zs/dQboYP5mb4YGMD4S/pazYaX7sZPtjiDYSjNzNZciSJX/5Rm70fNSIhI5+5+xNKLZulKmRgUw/2ftiIvR81wt5axucbY8zK/XLsLi4PGqDPw7HYbJacTmHpgEB2v12XhCwN806UfjKWrS5kYAM3dr9dl91v18XOWso/d8UZX19x/h6RSXlsGFaLA2Pq4Wgj49sDpf8/yos0qDHy9q+Rv/gzVP8agcS1CvIub5RaVp+dhub3b1BNfw3Vl4PRXjuJzZDJxtfVy75ANbWf8U935xqFl46We8xHziayeN0lln3Tlf3LBhCfnMOc38+XWjYjK58J3x7g/Tcac2rlEOoFufHRvw4aX4++k8mkWYf5YFhjTq8ZyqY5vagb6AZA03qenFv3hvFvwRedsFNY0baJV7nXqVpYUxp8OoRdnSex1m8olWpUpdH0EaWWvRWxjxWOPY1/J979ieyYJNLO3TSWub36oEmZim4gAGSkK9my9hJH9kZXdCilkgY2Rt5uAOpfp5A/+00krlWwCi1jX8hJR7PqW/K/HUT+jCFor5/E+rVPiwrYOWIz/Eu0p3eSP2Mw+T+MQhdT+jZano5GZbDkQDy/jKnPvinNiE/LZ87uuFLLZqsKea1FFfZOaca+Kc2xt5Hx+eobxtf1ej0zBwdzanpLFr9dj9+PJbH9QqrF6yCUL9FIEJ67zdfS6VfXlUA3BU62VoxtUYVNV9NLLdu2hiNdazrjYCNDIZcytKE755OKGjEHb2XxZhNPFHIpXk429KvrxsYrpa+rPG06Fk//tr4EeTniZG/NuF412XQ0vtSy1lZSRoQF0KSmGzKppNQyCffy2HoigdE9giwZtgmnsI5k7dyDJi4eXW4eaSvW4BQW+tw+/1ltvnCPfo0rE+Rhh5PCirHtq7Pxwr1Sy7ar6UK3em442FqhsJbxeosqnLuTY1ImISOfbZH3GNW22vMIH4DNV9LpV8+NQPcH+8IrVdhUxvbbtoYTXWu6FNsXKpvsCwlZGlr7OeJuL8fGSkq3YBdi0vItGr9Vk84UntllyAaocinYtxKrJp1LL5yfhz7jwUmCBNDpkLiVnvWTuHgg9auL9tzeco950/5o+ncJIsjXBScHG94ZHMLGMk48d5+II9DHmW5t/LCxtmL80IZcv53BrfhMABasjmRQt5q0a1odK5kUF0dbfKo6lvG5MXRt7Yedbfk3QgOHh3Hjl51kXo1Dk5lL5NcrCBzR9bHfG/Pf3eUeU3k7ezKec6fiyc3RVHQopZI16kTh2d2GfSE/l8KDq7Bq9JB9IbPEvuBatC9YteqDNvoc2osHDZkIjcoky2Apm86k0L95FYKq2ONkJ2dcZ282nU4ptWy7Wq50C6lsPKYObVWNc3HZxtff7uhN3eoOWMkk1PCwo1NdN87HZpe6rheaVlf+f38jopHwlHbv3k23bt3o3bs38+bNMy6fOHEi/fr1Izw8nHfffZesrCwARo8ezc6dO03eP3LkSADmzp1rXFefPn3Izi57R5o8eTIrVqwo9fnq1avp3r07vXv3Jjw8nJgYw5XSW7du8fbbb9O/f3969erF+vXrH1kPS4pOyyfYXWF8HlxZQZqykEyVeVq2pLMJuQS62ZZYqi/2SE+0hU+MAKKTcgj2LjoZqOXtyP1sNRm5T/cD9vXvl/mgf21srUvv8mAJ1r4+qG/FGp+rY25j5eqC1LFSme/xj1iC/8qlVJn0HrIS5ZzDuxO4YQW+82fj0LalpcI2ik5VUauKnfF5rSp2pOUWkKk072JR0pnYbAI97EyWfbM9lg86+2Arf36Hxeg0FcGVn3JfSDTdF/rVc+N8Uh6puQWoCnRsv5ZBG7/ST1jLi9TTF93d28bnuru3kFRyBbuytyHF1LUovtqCvNc4Cg6uLrWMrHFndLFXihoV5Sg6LpNaNVyNz2vVcOV+Zj4Z2ebHjZJl7Wzl+FSpxM07hkZC5HVDozT83U20Hbaaj78/TGaO2mw9yvwCdh2LpU9oQHlXBwCXun5kRBZlxtIjY7Cr4oqN68O/f3sfDzzb1Sf6N9NuUd7hrzD0/kb6XFpK8Nhwi8T8v0bq4YM+udi+kHwbSSUXUJS9L9hOWY3tF5uQ9xhL4eGizKzUuxaocrAe9T22n/6O9etfIHGqbNH4AaJTlARXtTc+r1XNgfu5BWTkPcYx9XYWgZ52pb6m1+s5ezuLQE/7Ul8XXlxiTMJTuH//Pv/3f//HypUr8ff3Z/HixcbXPv/8c1xdDT8qP/zwA4sXL2bSpEm88cYbLF68mO7duwPw+++/M2zYMDIzM/n11185evQotra25ObmYmtb8iT48Xz33Xfs3LkTDw8PNBoNWq2WwsJCJk2axKxZswgICCA3N5f+/fvTsGFDnJycyqyHJSkLdFSyKToZdnhwYpyn0eKsKHuTjLqnYsGpFOb0qmFc1trPkSWnU/m2qw9pykI2XklHVWj5lroyv5BKdkVXBB0UcuNyF4cn6zK05+xddDo9XZpU5c/r98s1zoeRKmzRFutaps1TPliuQJdtepVdm5VN7DsTUUffQuZYCc/3xlJ1ykQSJk8DIGPjNlJ/XoYuNw/7po2o9s+PSUjPQHXlusXiV2q0ONgWbS8Otg+2I7UWZ7uyr9ZGJecx/1ACc4cEG5ftvZqOVqencx1X/rydZbGYS1IW6Khk/ZT7wolk5vT2Ny7zdbGhSiU5oYsuI5NAkLuCz0MDLRc8gLUCfX6x7okPHktsFOiVOaW+RTV9IMhtsGrSGV0ZjQCrRp0oOLCy3MOFB/tusS5lDvaG/TVPVYCLo61ZWdcSXQQd7K3JUxlOmlLSlGw+EMPSr8LwcLVj8g9H+XrhKb7/uJ3Je/Ycv4OLoy3N61exRJWwclCgySr6Hv56LK+kQJ1e9kWnwOFhpBy5RG5sUXfP22sOEbVoO/kpGVRuUYuO66ahyczl9qoDFon9f4a1An2+suh58X1BVfq+kP/tIJDbIGvUuSizAEgc3ZFWDUC9/J/oU2KRh41EPvATNEs+tmgVlGotlWyLHY8ePFaqtQ/thhmVlMeCPXeY+486pb4+d/cddHro18yzfAN+Dl72MQmikfAUIiMjqVOnDv7+hh/oQYMG8f333wOwefNmtm7dSkFBAUqlEj8/PwDatm3Lt99+a7y6Hx8fT8eOHQHw8fHhk08+oU2bNnTo0AEHBwfzD30Mr7zyCpMnT6Zjx4506NABb29voqOjiYmJ4aOPPjKWKygo4NatW0il0jLrUZ62XU9n+j5D3+gm1eyxk0vJ1WiNr+c9eGz/kKvodzLVjNt0i8kdvGjiVfT/mdLBi28PJPLqr9dwtrXi1WAXdkRllHsdtp5IYNrySEMdarphZ2tFrqro6kpuvuHKr53tk+1SSnUh36+5ys8ftii/YMtQKbQ9VT4cZ/jcS1fRqfKR2RVd+ZHaGx4XH5z8F31+Puobhi4Z2swsUub8TODa5UgUCvQqFeroW8ayeX+eJXvfIRzatCzXRsLWyPtM22r4nCY+lbCzlpGrLrYdPXhsb1P2dhSXls+Y/15nSnc/mj64yq7UaPl+9x0WDgsu833lZdu1dKbvNXQbaOL1lPtChppxG2KY3LE6TaoX7Qtf74tHU6jn2Lj6KORSfjmTytiNMawcWn71kjXsiHXfCQDoYi+DRoXEptjVQ1vDY73afBsyUaCm8NQOFP9cherfoyGvqGEm9a2LpJIL2nIaj7D1QAxT550AoEldT8O+WyzblKs0ZP/sFeYnQSXL/lX+r7I21jL6dQ6ihpcTAGNeq8/Iz8277mzaF03v0AAkktK7Gz6p4oOPU45cojBXhdyx6HuwdjRcsS3Iefj3EDisC5EzIkyWZV0r6oOeeuIqV3/agF//dqKRUIKsQQfkvcYDoIu7YtgXbIuygtg8/r6gPb0D28kR5P801rAvFKrRXjuBPtEwTqTgQASKKasM61QrH76+J7D1XCrT1hs+o0kNJ+xsTI+pufmGx3YPO6beVzF66WU+6+1PU38ns9d/P5bE5rMprHgnpNQB0MKLTTQSytG1a9dYuXIlq1atwtXVla1bt7JmjSGFKJFIeOONN4iIMByQBw0ahExm2PHWrFnDuXPnOHnyJP369WPJkiXUqlWr1M+QyWToig0IVauLUttz587l0qVLnDx5kuHDhzNt2jSqVauGi4sLmzdvNlvXvn37yq3uD9Ozlis9axWl7D/ZGUvUvXy61TQ8j7qvws3Oqswrp0nZGt5eH82YFp70qu1q8pqTrRX/6u5rfP6fY0nULyPl+SzCW1YnvGXRzAyTFp4lKj6b7s0NgxCj7mTh7mjzxFmEuJQ8ktKUDJtxDIACrY4cZQFt39/Fqv9ri5d7+dUlZ/8hcvYfMj6vOuUjbPxrkHPI8Nm2/n4UpmeYZRFKpTdcXZFIJZR+nUUP5XRC9JfwEHfCQ4pmhfp47U2ikvPoXs8wUPR6shI3B3mZWYTETDVvLb/K2A7V6dWwKHUfl5ZPUqaaYUuvAobvIDdfS9vvzrJqVF28XJ4us1eanrVd6VlsG/5keyxR91R0C3YBDBmCx9oXXqlCrzqm+0LUPRXvta6K04P3Dm3oztzjd8lQFeLykKzEk9BeOIDqQtHJovXgT5BW9Ud76QgA0qr+6HPSoYwsggmJBKxtkDi5oy/WSLBq0gntlWOgKZ9ug+EdAwjvWNTNZ+KsQ1y/nUH3toaMZNTtDNydbc2yCACBvs5s2lfUjUeZX0B8cg5BPs4ABPu5mGzmEsy3+bv38vjzUjLTx5dfF7xbEfu4FVF0/G63YgquIQHErjXs364h/iiT0x+aRfBoVRdFNTdi1x1++IfpKbfGzf8S7cWDhjEDD8gHfoykij9cNjRupVVqoM/JgDKyCCYkEpDbIHF0Q5+XhS451niMNbDM1ezwxh6EN/YwPp/0+3WikvLoHmI4PkbdzcPdQV5mFiExI5+Riy4xrrMPvZuYZwnW/5nM4gPx/HdcA6o4lz1pxwvtJZ8CVTTrnkLDhg25evUqsbGxAKxduxaA7OxsHBwccHZ2RqPRmPT9B+jTpw979+5lx44dDBw4EIDc3FzS09Np3rw57733HjVr1uTmzZuUxdfXl0uXLgGQmprKqVOnACgsLCQ+Pp4GDRowevRoWrduzbVr16hRowa2trZs2rTJuI6YmBhyc3PLrIel9artyoYracSk5ZOdX8jPp1LoU+KE5y8puRpGro9mSMPKDGpgPm3onUw1mapCtDo9R25ns+5SGmNaWD6l2bu1N+sP3yE6MYdsZQELt96kTxvvMstrCrSoCwxXZQoKdagLtOj1eoK8KrF/dhc2fNmeDV+258t/hODmZMOGL9tTxVVR5vrKQ9aeAzh174y1jzdSe3tcX3+NrN37Sy1ruNth4AAAIABJREFUW6sm8upeIJEgdayEx/jRKC9cQvegi5JD21ZIbG1BIsGuSUMcO3Ug98SfFo2/V8PKrD93j+hUJdmqQn4+lEjfhqX3203J1jBy2VWGNq/C4BIp7yAPO/ZNbMSGcfXZMK4+X/UOwM1BzoZx9anykNmoyqUOdVzZcDmNmDTVg30hmT51y9gXcjSMXHuTIQ3dGRRivi/Uq2LHlqvp5Ki1FGj1rIq8j4e9vNwaCKUpPLcPq2ZhSDx8wNYeeehgCs+WPthYGtgISbUAkEjBxg55j9HoVbnGKVABsLJG1qBdmesoD31CA1i/+wbRdzLJzlWzYHUkfTuX3i2rS0tfbsZlsOtYLGpNIfNXRhLs54K/t6GR0K9zEBv2RhOfnIMqv5DF6y7RobnpNI+bD8TQqLZHmQOay0PMf/cQNLI7TrV9sXayJ+TzN4hevuuh7wkcEUbc+iMU5ppe6fbp1QprZ0OGyr1ZMLUn9OXOloqfblQqlSCXS5FKJSaPXxTa8/uxahyGpLI32Npj1WEwhefL2BcCGiKp6v9gX1Ag7zYKVLnGwcnac3uQ1WllaHRIZcg7DEEbe7lcswil6d3Eg/V/JhOdkke2qpCFe+/Qp4wuQilZat5ceInXW1VjcCnTjm89l8p/dsaydFR9vN0s+1tmUTp9+f/9jYhMwlNwc3Pjq6++YuzYsdja2hIWZpjTvnnz5vj4+NC1a1dcXFxo2rSp8YQewMHBgbZt25Kfn28ct5Cbm8uECRPIz89Hr9dTp04d4/pKM3DgQN577z1effVV/Pz8aNCgAQA6nY7JkyeTk5ODRCKhatWqTJw4ESsrKxYuXMi3337L0qVL0el0uLm58Z///KfMelhaGz9HRjb14M310agf3Cfh3VeK+ur2/u06o5p70LOWK+svp5OQpWH+yWTmF5sm9fS7hnpfTVXyr0OJ5Ki1+Drb8K9uvgQ+hwNS2/oevPVqIP/47hj5Gh1hTasyoU9Rt46enx9gTM8gY/ah+2f7SUoz/Bi/PfskAHtndcbL3Y7KTkVXMJ0drJFKJCbLLEV5+jzpqzfgPftrJNbW5B45Qdryoq4HfkvmkBaxjpz9h5BX9aTqyGFYOTuhUyrJOxdJ0jdFXdNc+vWkyqTxgISC5BSS/z0PVeRli8bfNsiZt1pX481l1wz3GKjjyvjQohO08DmRjG7nRXiIO+vOphKfoWbewQTmHSyaFvTsP5tjJZOY3C/BSSEzfAfPYTraNjUcGdnMkzfXPtgXgpxN7vPRe/k1RjX3pGdtV9ZfTjPsCyeSmX+i2L4wIQSASe28mHEggR6/XKVApyfQzZYfi43fsQTdjbMUHFqH7aiZhrnhLx+lYE/RxAq2Hy6k4MBqtBcOIFHYY91rHBIndyjQoEuIQv3LP6GwqDuPrG5L9KpcdDGRFou5bZPqvNW/PiOm/EG+WktYa18mvN7I+HrPdzYxZmB9wjsG4Opky09TOvLVwpN8MvsIDWq6M/uT9say/cOCSLyXy2sfbXuwbi8+H2PadXDz/mje6lcPS0rcdZrLs1bTff9sZApr4tYf4fzU5cbX+1xaysUZEcbsg8xGjt/ADhwYMM1sXTUGdaT10o+R2cjJS7jHpe9WEf1bxc9+1Ou1+vQdHGJ83rqDPxtXRbJp1cUKjKqILvoshUfXYTNyBljZoL16jML9RfuCzYT5FB5aY8g+2Dpg3WMsEkd3KNSgS7iB+rcvjPuC7vZFCvYsx2bYVJDboou7QsHaWRavQ9tarrzVoTr/WHjJcO+Z+u5MCCvK1Pf8/ixjQr0Jb+zBulPJxKfnM29PHPP2FHVRO/tNawB+/COWTGUhr/1UNHVreGMPpvV/fjP4Cc9Ootfr/17Nmr+xwsJCevXqxcyZM40n939nBQsGVXQIz0wW4lPRITyTm1/ceHShF1zgKOeKDuGZ6TLNZ7T5Oyl4joO1LUXxVrtHF3rB/RpsuQzK83Kw1z8qOoRnsrD+qooO4ZnZNHs+NxS1JGmvJRUdAgDKyd3LfZ12M3c+utALQnQ3ek727dtHly5daN269f9EA0EQBEEQBEH43yW6Gz0nnTp1olOnTo9VNi0tzXgPheK6dOnC+PHjyzs0QRAEQRAEoaS/2RiC8iYaCS8gNze3UmcjEgRBEARBEJ6Tv9kdksub6G4kCIIgCIIgCH8zKpWKDz74gC5dutCtWzcOHHj4/UzUajU9evSgX79+j7V+kUkQBEEQBEEQhBJe9DsuL126FAcHB/bs2UNsbCyvv/46u3fvxt7evtTyP/zwAyEhIVy//ng3OhWZBEEQBEEQBEF4DrKzs0lISDD7y84u++aHZdm5cyeDBhlmmvTz86NevXocPlz6DRLPnDlDbGwsvXv3fuz1i0yCIAiCIAiCIJRkgTsuL1++nLlz55otHz9+PBMmTHiidSUlJeHl5WV8XrVqVZKTk83KKZVKvv32WxYsWGC8ge7jEI0EQRAEQRAEQShBb4FxyyNGjKBv375myx0dze/K3rdvX5KSkkpdz/Hjj38n9O/+n737jqu6+h84/rr3wmXKXg7ACbhRMvfemKs0M82maaZlZWq21VJzfcuZpWk5c4Wae2uG5l6IkyUqypJx4XLH74+rIFxcyQX59X728PGIzz33c9+H877cz1mf+913vPzyy3h7e0snQQghhBBCiKeNk5NToR2Cwqxdu/aBj5crV46rV6/i5uYGwLVr12jYsKFZuSNHjrB3715mz55NdnY2qampdO3alfXr1z/w/NJJEEIIIYQQogCjQVHSITxQp06dWLFiBbVr1yYqKopTp04xdepUs3L3dgYOHjzIpEmTWLNmzUPPLxuXhRBCCCGEKGXefPNNbt++Tfv27Rk0aBBjx47F0dERgO+//55ly5Y90fllJkEIIYQQQogCDE/5d6nZ29vzww8/FPrY+++/X+jxhg0bPtIsAshMghBCCCGEEKIAmUkQQgghhBCiAKPx6d6TYGnSSRD/2ph6j/6FHE8re+uSjuDJZH1Tr6RDeGJfhRT+zZClyW8X0ks6hCdyoW7p/yB80SW7pEN4Yoazb5R0CE9s7pKlJR3CExl86qWSDuGJRdiVLekQntihbiUdgYklboFamshyIyGEEEIIIUQ+MpMghBBCCCFEAU/7LVAtTWYShBBCCCGEEPnITIIQQgghhBAFPO23QLU06SQIIYQQQghRgCw3EkIIIYQQQoh7yEyCEEIIIYQQBcgtUIUQQgghhBDiHjKTIIQQQgghRAHyjctCCCGEEEKIfGS5kRBCCCGEEELcQ2YShBBCCCGEKMAgt0AVQgghhBBCiDwykyCEEEIIIUQB//U9CdJJEMVKm67h+Px13Dx9CXUZe6r3bkuFxrULLZsSdY3TSzaTGn0NlY2agK7NqNyhEQDnVu/k2tFI0uNvUq1bC4J6tiq2OmSnazg0bx3XT13Cpow9dfq0pWJT8zqcWrWbs2H7UFmpco91mvgOjt6uAFw9EsnJFTvIuJmCs583zw7shnMFz2KpgzZdw7H560g4ZWqHGr3b4tvk/u1waslmUqKuYXWnHap0NLXD2VU7uX40krT4mwR0a0H151sVS/ypKZl89cVK/j5wHlcXB4YN70zoc/XMyv1z8CI/ztnOuYh4yjjZsWnbJ/keP34siskT13Pl8g3KV3BjzGc9qRdSqVjqoEnTsHXmOqKOX8bOyZ7m/dtQvaV5GxxYtpuDq/ajss7LowH/G4yLjytJVxPZu2gb8efiMBoMeFctR5uBnXAr71EsdSjt7+f02xp+mrCR0/9E4ehsR59BLWnSoaZZuU0rDrF11RHSUjXY2qlp1DaIvkPaoLIyTcZHX7jBounbiL10E1t7NW26B9PztabFUgdNmobNM/LyqMUrbahRSB7tX7ab8JX58+j17015BLB51gZiT0eTfC2RzsO6UbttcLHEfy9V4x5YN+8F1jboz+wnZ/0s0OvMyik8fVG/8BEKt7IAGOIvkvPnXIw3Y/PKlK2CdejbKMtWgZwscvb8jj58XbHVpTDtQgNp1qYKFfxdCN8Xxc8/HCjReO7lZGvFZ11q0LCSOykaLbN3XWTL2Rtm5axVCj5qH0jLQE+slEpOxqUwcdM5bqZnA/B1t5o0qOiGrbWKpPRsfguPJuxEfHFXp8j8179xuVR1EtasWcPu3bv54YcfOHXqFAsXLmTq1KlFcu4ZM2aQmZnJqFGjiuR8Jf36O3bs4PDhwyVWn/s59etGlFYqOs4YQWrMdQ5OW4qTrzdOFbzylctOyyR8ymJqvdyRsg1qYNTp0STfzn3c3tuNGi+2I3rXkeKuAkd+MdWhx5wRpERdZ+/kpbj6e+NcoA4Afo1q0vjd582Op11L5O/Za2j5cT/cq1Xg3Ia/2Dd1GaFThqJUWX4V4IlfN6JUqeg8cwSp0df5e9pSnP0Kb4cDkxdTu19HyjWogUGnJysprx0cvd2o2acdV3YWbztMGL8Wa2sVO/d8QeS5eIYN+YWAoLJUreqTr5ytnZoezzcgKyuH+T/tyvdYakom77+7kE+/fJ627WqxeeNx3hu6kD83j8LJ2d7iddgxz5RH7yz8iIQr11k7fhmelbzx8DPPo8BmNQn9oKfZ8eyMLKo0CKTjsO6o7dSEr9jLH9+u4I1Z71o8fij97+eFU7diZa1i1rphRF+4wZSRq/Cr6kWFyvk76/WbVaNFaB0cytiSflvDD5+tZcuqw4S+9CwAs75exzPNA/hsxsvcvJ7K2CGL8avqRUizahavw7YfTW3w7iJTHq0atwyv++RRULOaPPeheR4BeFX0pnqzGuxetMPSIRdKWbU+1i16kf3LGIy3k1C//ClWbfqj27bQrKwxLQnt8m8xpiSAQomqYRfUL44ie9ZQUwF7J2wGjCVn009oz+wHlTUK5+LpOD9IclIm61aeonZwWaxtnq7Lr487BpGjN9Dp+70EeDsy/cV6XEhI5/KtjHzlXmrgR+3yzvT7+SDpWTrGhFZnRMdARq0+CcCiA1GM//MsOXoj/u72zO0XQuSNNM5dTyuJaoknVCx7EvR6fZGfs3bt2kXWQfj/RqfT0bZt26eug6DL1hJ/+CxBL7TGylaNe4AfPvUCiTtw0qzs5c1/41W7KhWa1EFlbYWVnQ1lyuV9cPs1C8a7bjVUturirAK6LC1xh85Su3drrG3VeAb5US4kkKh95nV4kGsnL+EZ6I9nkB9KlZLqXZuhSUojISLKMoHfQ5etJf6fs1S/2w6BpnaI/cu8DpfutIPvnXawtrOhTPl72qG5qR2s7IqvHTSZWrZvO827wzpi72BDvZBKtGxdgz/XHTUrW7uOH891C6GCr7vZYyeOR+HuUYYOHeugUinp0rU+rq4O7Nh+2uJ1yMnScuHvCJq+3Bq1nZoKNfyo0iCAs7sfL4/KBpSndvt62JWxQ2Wlon63RiRfTURzO9NCkecp7e/nLI2Wf/ZE0uutFtjaqwms60v9ZlXZv+WMWVnv8q44lLEFwGgEhULBjbjk3MdvXUulaYeaKFVKvMu7Eli7Alev3LJ4HbRZWs7/HUHzfnl5VPXZAM7serw8AqjfpQH+dStjpS6Zi1dVvbbojmzFmBADWenodi/Hql67wgtnZZg6CAAKwGDInVUAsGrSA/3Fo+hP7jbNRGg1+WYZSsqR8FiOHowlPU1b0qHkY2utpE2QFz/uvYwmR8+JuFT2XrhJ51plzcqWc7Ej/HIiSRlatHoD285ep7KHQ+7jl29lkKM3Aqb3ihGo4GpXXFUpckZD0f8rTR761yAwMJAPPviAbdu2kZKSwsiRI+nYsSMAe/fuZdq0aej1etzc3Bg7diz+/v4cPHiQ8ePHU6tWLc6ePcvw4cMZN24cXbt2JTw8nBs3bvDRRx+RmJjIhg0bSE1N5dtvv6VBgwbodDoGDRpEcnIy2dnZ1KlTh6+//hq1Ov+Hx8GDB5k0aRJr1qxh5cqVLF68GACj0UhkZCRhYWEEBQUxb948tm7dil6vx9vbm3HjxuHp6UlaWhqffvop58+fx9PTEx8fHzw87j/SEBcXxwsvvMDBgwfNfk5MTMytD0Djxo0ZM2YMQJG9/t22ePfdd9mxYwdZWVl8+OGHuW0RGBjI0KFD2b17N82bN8fPzy931gVg1apV/PrrrwBYW1vz448/4uHhwZ49e5gzZw5arRZra2s++eQTgoMtM82ccT0RpUqJo0/eBZuTrzeJkdFmZZMvxVGmghf7xs0n40YSrlUqUHtAKPbuzhaJ7VGlXU9EoVLiVDavDq5+3iREmNcBIP7oedYMnIStSxmqdWhAtfYN8h40GvP+985/qbEJ+NSqbLH4AdKv3WmHe+rg7OfNrXPmdUi6GIeTrxd7x84n/U471B0Qir1HybVDdPRNrKyU+FfMu8gMCCzLkX8uP/7J7mkD049GLl64/qQhPlRSfCJKpRK38nlt4FnJm7jThefRpX/OM6v/dzi4liE4tAHBnZ8ptFzcmWgcXB2xc7L8TEhpfz9fj01CpVJS1s8t95hfFS/OHY8ptPyBrWdYMGULWZlayrjY8fLQNrmPdXyxAfs2n6bXwOYkxKdw4Uw8Xfo1sngdkgvJI6+K3sSeKTyPLv5znh/6mfKofpcG1LtPHpUEpZcfuojw3J8N16+gKOMKdmVAU/gotO2YFaC2A4UC3c7FeefyDcJ4Iwr1wCko3cpiiIskZ8McjKk3LV6P0sjPzQG9wUhMUt7gwoWENOr7uZqVXXf8Kh+2D8TDUU1alo5Otcpy4FJivjIjOwbyXJ1y2FqrOHf9Nn9dTDQ7jygdHmnIwNHRkdWrV3PkyBGGDx9Ox44dSUxMZOTIkSxevJiqVauycuVKRowYwcqVKwG4ePEiY8eOpV490zrhcePGodVqWbFiBSdPnmTAgAF8/PHHrFq1io0bNzJt2jSWLVuGSqViypQpuLq6YjQaGTVqFKtXr6Zv3773ja9379707t0bgOnTp+Pv709AQABhYWHExsby+++/o1QqWbp0KRMnTmTq1KnMmjULBwcHNm/eTFJSEs8//zydO3f+V7/E9evX4+fnx8KFCwFITU0FsMjrK5VKwsLCuHz5Mn379uWZZ57B3d30AWFjY8Pq1asB09Ksuw4ePMiPP/7I0qVL8fT0JCMjAysrK2JiYpg9ezbz58/H0dGRCxcuMHDgQHbv3v2vfg8Po8vSYmVnk++Ytb0Nuqxss7KapNukRF+j8cev4FTBm7O/b+PI7NU0//wNi8T2qHKytFgXUoecQurg16gmVduGYOPsQNLFq+z/3++oHWzxb1Ibn1qVObF8OzfORuER4EvEuv0YdHr02hyL10GXXUg72D24HZqONLXDmRXbODxnNS1KsB0yM7U4OOSP39HRloxM8/gfpE6wPwk3b7Ppz2O061CHTX8eIy42iawsy7dBjkaL2j5/HWzsbdFqzEcYA5vVpE7HEOydHbh24SrrJ63ExsGW6i1q5SuXdus2O+dtouXrHSwa+12l/f2cpcnBrkAe2TvaoMksfJS3SYeaNOlQk+uxSezbfBpnt7zR03pNqjB3/AY2Lj+IQW+k5+tNqVLdfBS2qGk1WmwK5pFD4XkU1LQmdTuE4ODiwLXzV/njTh7VKJBHJUZthzHrnhmwLNMyF4WNHcb7dBKyvu0D1jao6rXLm1kAFE4eKMtWIXvRZxhvRGHd4Q2se49E+/PHFq1CaWWvVpGRnX/vR3q2DvtCZpVikjO5kZbFxvdaoDMYuJSQweQt5/KV+W5LJFO2RlK7vDMh/m5o9aVs+Pwe//VvXH6k5UahoaEABAcHk5CQQHZ2NidOnCAoKIiqVasC8MILLxAREUF6ejoA/v7+uR2EguepWbMmGo0m96K4Vq1axMSYRm8MBgMLFiyge/fudOvWjfDwcCIiIh6pMitXriQ8PJzJkyejVCrZuXMnBw4coGfPnnTv3p2lS5dy9epVwHTh3KtXLwDc3Nxo3779I71GYerWrcvevXuZNGkSu3btwt7eNIpnide/2xmqXLkyNWrU4Pjx47mP9exZ+FrT3bt30717dzw9TSOvDg4O2NjYsG/fPmJiYujXrx/du3dnxIgR6HQ6bt2yzDS5la0anSb/BUSOJhsrWxuzsiq1NWXrV8e1cnlUaisCe7Qk+WIsOZlZFontUVnbqskppA7WhdTBuYIndq5lUCqVeAT4EtCpIbEHTbnsVN6DRoN7cHThRsKGTEWblolzeU/s3JwsXgcrm0LaIev+7VAuJK8dgnq0JOlCybaDvb2ajIz88WdkZOFgbx7/g7i4OPC/Ga/y26J9tG0xlgP7I2nYuCre3pYf3ba2U6Mt0KnRZmajLmTZlruvJ45uZVCqlJQP8qXec89y4cDZfGUyUzNY9dVi6nZ+xqzzYCml/f1sa2eNpkAeaTKysbN/8JInH183KlTyYOHUrYBp8/N3H/1Oz9ea8suOj/l+zRBOHrzCtjXmy9+KmtpOTXaBPMq+Tx55+HlSxv1OHlX3JeS5ZzlfII+Kk6pOK2w/W4XtZ6tQv/I1aDUobO9ZlmJj+hw1ZmsefKKcbPT/bET9wofgcOe9q8tGH/E3xqsXQJdDzq6lqPxr5J5T5Jep1eNQYI+Eg9qKTK35pvGRHYNQq5S0m7ablpN3sSsygf/1Mb9phMEIJ+JS8Spjwwv1K1gsdmFZjzSTYGNj+qOvUpnuiqDTmSdOQXcvlB90nrs/K5XK3HOuX7+eI0eOsGTJEhwdHZk7dy5RUVEPfb39+/czf/58li5diq3t3bWjRt55553ci/EnYWVlhfGepQnZ2Xl/mOvVq8fatWs5cOAAYWFhzJs3j2XLlhXp6z+Kwn7nD9O8eXO+++47C0RjzsHHHYPeQPr1xNwlCrdjbuRb436Xk6+3aa1prqejN1/Gxx2j3kDatUTK3FmukxJ945HuSmSqQV4O+TasgW/DGgBoM7K4vPsY7pXLWyDq/BzLFt4OTvdrh3spSr4d/P090ekMREffxN/fFPP5yGtUqer9kGeae6ZBFZb+/h4AOp2e5zpOYsCrLYo03sK4lXPHYDCQHJ+IazlTG9yMuoG73yPkkULBvYukstI1rPpqCVWeDaBR7+YWithcaX8/+/i6odcbuB6bhI+vaclRzMUEyld6eBvo9QYSrpr2JCTEp6BUKmje2XRHIXcvJxq3q86J8Eu0f76+5SoAuN7Jo6T4RNzu5tGVG3j4PmIeGR9azGL0J3eb9gzcYd37YxQ+leH0fgCUPpUwpiXfd6lRPgoFWNugcHLHmJGK4XpUgaWEJVjRUiAmKQOVUoGvqx2xyaZOWYB3GS7fzDArG+Bdhjm7L3E7y3TN9vvhWAa3rIKznTWpGvNZWJVSUar3JBhK7yRIkfjXG5eDg4M5d+4cly5dAmDt2rXUqFEDR0fHJwooLS0NV1dXHB0dSUtLY8OGDQ99TmRkJF988QVz5szBzS1vfWmbNm1YunRp7vIfrVbLuXOmabFGjRrlLslJTk5m+/btD3wNDw8PcnJyiI42rfW8N67Y2FgcHR3p0qULn3zyCWfOnMFgMBTp6991dzlRVFQUZ8+efaT9A61atSIsLCx3hiAjI4Ps7GyaNm3Kvn37uHDhQm7Zkycff8Pbo7KyUVP2mepErtmNLltL4vkYrh+LpEKTOmZlfZsHc/3IOVKjr2PQ6Tkftge3AD+s7U0dQNPSHB0YjRj1BvRaHcZieDdb2aqp0KA6p1btRpel5WZkDFePRFKxuXkd4g6fQ5uuwWg0knjxKue3HKJ8SGDu40mX4zEYDGTdzuCfn9dTLiQQp2K4daWVjZpyz1Qn4p52uHY0Et+m5nXwbxHMtSPnSLnTDpFhe3AvrB0MRoyG4mkHO3s1bdvXYs6MrWgytRw7GsXunWfp0s38gsxgMJCdnYNOpwejkezsHHLuGR07F3GVnBw96elZTJv8J94+zjRpFmh2nqJmbaumWqPq/LVsNzlZWq5GxHDxUCQ1Wpm3wcWDkWTdyaNr569ybMMhqj5rijE7M5vVXy+hfHVfWgy4zyZPCynt72dbOzUNWgay6ud9ZGm0nD8Zx5H9F2nW0fwWqLvWnyA12XTBdPXKLdb/Fk6NZyoC5HYwDmw9g8FgJCUxnfAdEfhWMb+7UFFT26oJaFSd/Ut3o83SEhcRw4VDkdRsbd4GFwrk0ZENh6jWMC/X9Tl6dHfawKA3oNPqMBqK7+Jaf2wnVvU7oPD0BVsHrFq9hO5Y4Z+LyirBKMpWBoUSbOyw7jQQNOm5m5P1R7ehqtHE1OlQqrBu1Rd91GnItvyG/gdRKhVYWytRKhX5/r+kZeUY2BWZwNstqmBrraROBWdaVPNk0+lrZmXPxt8mtHZZHGxUqJQKeoVUICEti1RNDq721rSv4Y2dtQqlAhpVcqNDDR/+iUoqgVoVDdm4/C+5ubnx3Xff5S5RcXNzY/LkyU8cUI8ePdixYwedOnXC3d2dkJCQfKP2hVm4cCGZmZkMHz4899j06dPp0aMHKSkp9O/fHzDNLPTt25egoCCGDBnCmDFj6NSpE56enjzzzIM3cFlZWfHpp5/y+uuv4+bmRqtWrXIfO3ToEAsXLkSpVGIwGPj6669RKpVF+vp36fV6evTogUajYezYsbn7ER6kYcOGvP3227z++usoFArUajVz586lYsWKTJ48mU8//ZSsrCxycnKoX78+deqYf8AUlToDunB8fhhbhk5B7WhHnVe74FTBi8TIaMKnLqHLPNOGb88alQjq1YaD05ai1+bgFuBHyOC8W4me+GU9sftP5P58Yf0+gt/qjl9zy9/bO+SNLhz6MYy170zBxtGOkDe64FzBi4Rz0eydtIRev5jqEPP3GQ7NW4chR4edmxPVuzalUou8+I7+upmUmBsoVUp8G9agXv+OFo/9rrqvduHoz2FsetfUDnXvtMOtyGj+nrKErj/ltUON3m0In7YUffaddngnrx2OLcjfDufX7aPewO6lwXmXAAAgAElEQVT4W7gdxnzWky8/X0nrFl/j4uzAmM97UrWqD0ePXOHdQfP5+/B4AI4cvsLA13/MfV7D+p8S0qAy8xcOBmDh/N3s3xcJQJNmAUz/4VWLxn2vtoNC2TJjHbNfnYpdGTvaDQrFw8+LuDPRrBm3lPeWm77T4dz+02yZuQ59jg5HdycaPN+Emm3qAnAx/BzXL8RzK+YmZ3bmLT18bcYQnDwtv2yqtL+fX/uoAz9N2Mi7XWfg6GTH6x91oEJlT86diGXyiN+Zv+0jAM6fimPlvD1ka3Io42LHs62D6PWWacbJ3sGG97/pyfI5u/ll6lbUNlbUa1qVHq82sWjsd7UfHMqmGeuYNWAqtmXs6DDYlEexZ6JZNXYpH6ww5VHEvtNsmmHKozLuTjR8vgm17uQRwO9fLSb2zsb5q+fi2DJrAy+NH4Bf7YrFUg/DxSPo9q/C5o0JYGWD/uxf+TYj2wybjW7P76bZB1tH1F0Go3DyAJ0WQ9x5sn/9AnSmkWzDlZPkbFuEzStfgrUthugz5Kx88uuTJ9Xtxdr0fCnvd960VWXWLj/BH8stNzj3qL7bfI7Pu9Rgy/stSdXkMGlzBJdvZRDs68L/+gTTaspuAH7YeYGP2gewenBTrFUKLt3MYOQqU/xG4IX6FRjdKQiFQsH11CymbY9k3wXL3+lLWIbCaCzJCUfxOAIDAzl69CgODg4PL1wMPg5fWtIhPDF765KO4MlkPXzl31Pvq5CnI5+fxG8X0ks6hCdyIbXkRzOf1ItVHm/j+tPoZGLx3tLZEl5eUro/FwafeqmkQ3hiEc9aftO8pR0aU7wzo/dzuUvXIj9n5T/XF/k5LaVYvidBCCGEEEIIUXo8XV/59xSYOXMm27ZtMzu+YMGCR1raY8nXj4yMtPjrCyGEEEKI0reHoKhJJ6GAoUOHMnTo0P/s6wshhBBCCDAYSv9SzCchy42EEEIIIYQQ+chMghBCCCGEEAX815cbyUyCEEIIIYQQIh+ZSRBCCCGEEKIAo/G/vSdBOglCCCGEEEIUIMuNhBBCCCGEEOIeMpMghBBCCCFEAUa5BaoQQgghhBBC5JGZBCGEEEIIIQowyJ4EIYQQQgghhMgjMwlCCCGEEEIUYNAbSzqEEiUzCUIIIYQQQhRgMBT9v6Kk0WgYPnw47du3p1OnTuzateu+ZSMiIujXrx+hoaGEhoayZ8+eh55fZhLEv9bEu/Qv1ovNKN13LijrUtIRPDkjpX+kJqeUvxUaeZX+NqhYpqQjeHLl7NNLOoQnZtOgbEmH8EQi7Ep3/ADVD10r6RBEMZk/fz6Ojo5s27aNqKgo+vXrx9atW3FwcMhXLjMzk6FDhzJ16lSCg4PR6XSkpaU99PzSSRBCCCGEEKIAvaHoB1Bu377N7du3zY47OTnh5OT0WOfatGkTEydOBKBixYrUqlWLvXv30rlz53zlNmzYQEhICMHBwQBYWVnh6ur60PNLJ0EIIYQQQohisGjRImbOnGl2fOjQoQwbNuyxzhUfH0/58uVzfy5btizXr183K3fx4kWsrKwYOHAgCQkJ1KxZk1GjRuHs7PzA80snQQghhBBCiAIM+qI/56uvvkrPnj3Njhc2i9CzZ0/i4+MLPc+BAwce+TUNBgPh4eEsX74cDw8PJkyYwMSJE5kwYcIDnyedBCGEEEIIIQowWGC50eMsK1q7du0DHy9XrhxXr17Fzc0NgGvXrtGwYUOzcmXLlqVhw4Z4eXkB0LVrV8aMGfPQ15e7GwkhhBBCCFHKdOrUiRUrVgAQFRXFqVOnaN68uVm5zp07c/LkSdLTTTdH2Lt3L4GBgQ89v8wkCCGEEEIIUYAllhsVpTfffJPRo0fTvn17lEolY8eOxdHREYDvv/8eLy8v+vbtS7ly5Rg4cCAvvfQSCoWCChUqMG7cuIeeXzoJQgghhBBClDL29vb88MMPhT72/vvv5/u5R48e9OjR47HOL50EIYQQQgghCrDEnoTSRDoJQgghhBBCFFDU35Bc2sjGZSGEEEIIIUQ+MpMghBBCCCFEAQb9f3u5kcwkCCGEEEIIIfKRmQQhhBBCCCEK0MueBCGEEEIIIYTIIzMJolhlpmlYNX09F45cxsHZnk6vtya4de37ltfl6Pl+yI9ka7SMWTw897hBb2Dbb3s4vPU42Rot7uVceXvSAOwcbS1eh6w0DTtnryP2xGVsy9jTuH8bApqb1+HQit0cWb0fpbUq99hLUwfj7OOar9y53SfYMSOM1u88R4129S0eP5jaYe3/1nHx6GXsnezp8Fob6j6kHWYN/ZHszGxG/vZB7vFLx6+wef42kuKTsHe2p0XvpjToHFIcVcgnNSWTr79Yxd8HzuPi4sB7wzvR+bl6ZuUWLdjD+rAjXItPxsXVgRdfasyrb7Qs9njBlEfbZ60j5sRl7MrY06R/GwJbmLdB+PLdHF69H9U9efTyNFMeaW5nsmHCcpKvJmIwGHCr4EGzV9tTrrpfsdQhM03DmunruHDU9H7u8Fqbh76fZ7xryqPRi015dOV0NIs+X5qvnDYrh5c/7U2tZtUtGv/tVA0TvtzIP39H4exqx6D3WtIhtKZZuaULD7Jp3SmuX7uNi4sdPfvU5+XXGgJw/Voqr/T8OV95jSaHdz9sTd9XG1o0/sLcTtUweexWjvwdjZOLHQOHNaNtZ/Pf48rFR/hjxXFSUzTY2VnTqkMgg4e3QGVVcmOHC/deZf6uWDQ5BjrW8eDL56uiLiSe49G3+WFLNGfj0lEq4dkqLozpXgUvJzUA83fH8cfhG8SnZONqb0XfJuV4s1UFi8buZGvFZ11q0LCSOykaLbN3XWTL2Rtm5axVCj5qH0jLQE+slEpOxqUwcdM5bqZnA/B1t5o0qOiGrbWKpPRsfguPJuxEvEVjf1TtQgNp1qYKFfxdCN8Xxc8/HCjpkCzuv74noVR3EtasWcPu3bv54YcfOHXqFAsXLmTq1KlFcu4ZM2aQmZnJqFGjiuR8JaF79+6sWLECW1vLXzg/qrCZm7CyUvHZ8g+5duk6v3yxnLKVvPGu6FVo+b2rDuDg7EC2Rpvv+Lbf9hAdEceQ6a/j4uXMjeibWKmLJ533/rQRlZWK1+d/xK2o6/z57TLc/b1x9zOvQ9WmNWn/fs/7nisrXcOR1ftx8/W0ZMhm1s821WH00o+4dvk6v325DJ/K3nj7F94O+1cfwN7JnuzM7Nxjep2epeN/p+Mb7WjQuT5XL8SzYPSvVAgsT9nKPsVVFQAmjP8Da2sVO/Z8TuS5eN4b8gsBQWWpUjV/HEajkXET+lAtwIe42CTeGfgz3j7OdAoNLtZ4AXbfyaO3FpjyaN03y/CoWHgeVWtak47DzfPI2lZNu6HdcCnrDgq4fCiS9ROWM/CXEShVlr/YWzdrIyprFWOWfcS1S9dZ9OUyyj4gj/atOoCDc/48qlTLn6/WfpL78+WTUfz61XICnqli8finfrsVa2sV63YN48K5G4wctoqqAV5Urpr//Wg0Gvnsm+eoUs2L+LhkPhi8Ai/vMrTrXAOfss5sC/8ot2x8XAovdf2RVu0CLR5/Yb6fuBNrKxWrtw/mYuRNxry/lsoBnlSq4pGvXJOWVejcvSaOZWy5narhq483sGb5MXr3L/5OPsD+yGR+3hXLL4Nq4+WkZtiiCGZsjeaj0EpmZW9rdLzY0IdmA1xRKRWM/+MSn644z08DawGm9pr4UiCBZR2ITdTw5k+n8XFR0yW48LwsCh93DCJHb6DT93sJ8HZk+ov1uJCQzuVbGfnKvdTAj9rlnen380HSs3SMCa3OiI6BjFp9EoBFB6IY/+dZcvRG/N3tmdsvhMgbaZy7nmax2B9VclIm61aeonZwWaxtSvXl4yOTW6CWAL2+6L/nunbt2kXWQSjtdDodAGFhYU9VB0GbpeX0XxG0H9AKGzs1FWv5UaNRAEd3niq0fNL1ZI7tPEXrPk3zHc9M0/DXHwd54f0uuHq7oFAo8KnohXUxdBJysrRcOhhBw76tUdupKVfdj4rPBHB+z8l/db7wJTup0+VZbJ3sizjS+9NmaTn7VwTtXmltaoeafgQ1DOD4zsLrkHQ9mRO7TtHyxfztoEnTkJ2ZTXCbOqaveQ8oj6evJwkxt4qjGnlxZGrZse00Q4Z1wN7BhnohlWjZugYb1h0zK/vam62oXqM8VlYqKlbypFWbGhw/Fl2s8YIpjy6GR9Do5bw8qtQggHOPmUdWaitcy3ugUCrACAqlguz0LLLSNBaKPI82S8uZvyJofzePavlRvVEAx3bcP4+OF5JHBR3dfoJazaqjtlVbIuxcmkwte7ZH8ta7LbC3V1O3vi/NWlZly4YzZmX7vd6IwOo+WFkp8avoTvNW1Th1PK7Q827ecJq69X0pW97FovEXRqPJYd+OC7w+pCl29mpq1ytP4xZV2PZnhFnZ8r4uOJYxfT4YjaBUKrgam1LcIef64/ANXnjWh2o+DjjbW/NOO1/++Md8JB6gRZAbnep64mhrhZ1axctNynE0+nbu42+19qVmBUesVAoqednTtqY7x6JuF3quomBrraRNkBc/7r2MJkfPibhU9l64SedaZc3KlnOxI/xyIkkZWrR6A9vOXqeyh0Pu45dvZZBzZ/TaaAQjUMHVzmKxP44j4bEcPRhLepr24YXF/wuPfVUVGBjIBx98wLZt20hJSWHkyJF07NgRgL179zJt2jT0ej1ubm6MHTsWf39/Dh48yPjx46lVqxZnz55l+PDhjBs3jq5duxIeHs6NGzf46KOPSExMZMOGDaSmpvLtt9/SoEEDdDodgwYNIjk5mezsbOrUqcPXX3+NWp3/A+TgwYNMmjSJNWvWsHLlShYvXgyYRhQiIyMJCwsjKCiIefPmsXXrVvR6Pd7e3owbNw5PT0/S0tL49NNPOX/+PJ6envj4+ODh4WFW/0f9XZw4cYIpU6aQkWEaRXjvvfdo1aoVU6dOxdnZmbfeeouNGzfy4Ycf8tdff+Hu7s7AgQN59dVXadasWaGvN3r0aKysrLh48SLJyck0aNCAL774ArVazejRo1GpVFy5coWMjAzCwsIIDAzk6NGjODg4cOnSJb755htu3rwJwBtvvEHPnj1JSEhg/PjxxMfHk52dTZcuXRg8ePDjpsUjuRmXiFKlxLOCe+6xspW9uXyq8Iu0dbO30PG1NmYzBNejElCqlJzaH8H+tQextbehafdnadytgUXivldKfCJKpRKXcnl18KjoTfyZwusQdfg8P7/6HfYuZajTuQG1Oj2T+9iNC1dJuBRPy4GhXDxw1uKx33XrqqkdPAq0w5X7tMOfczbT/tU2WNlY5zvu6OpInZa1OLrtOM+GhhB3/iopCSn41/S1aPwFRUffxMpKiX/FvNHfgMCyHPnnygOfZzQaOXYkihdeLP4lIcl38sj1njzy9Pcm7mzhbXDl8Hl+HPAdDq6mPKpzTx4BLPlgLslXb2HQGajZrh72Lg6Fnqco3YorJI8q3T+P1s/ZTIdX22BdII/upc3Scnp/BAO+eqnI4y0oNjoJlZUSv4puuceqBHpx/HDMA59nNBo5cTSW7r3Ml7MZjUY2rz/Na283KfJ4H0VcdDIqKyW+/nlLGqsEeHLiSOEdmh2bIpj+7Q4yM7Q4u9jxzocls/QO4OKNTNrUzMuloHKO3ErPITkjB1eH++cMwOErqVT1LnygxWg0cuRKKi82Mr9gLyp+bg7oDUZikjJzj11ISKO+n6tZ2XXHr/Jh+0A8HNWkZenoVKssBy4l5iszsmMgz9Uph621inPXb/PXxUSz84jiId+4/C84OjqyevVqjhw5wvDhw+nYsSOJiYmMHDmSxYsXU7VqVVauXMmIESNYuXIlABcvXmTs2LHUq2f6wzpu3Di0Wi0rVqzg5MmTDBgwgI8//phVq1axceNGpk2bxrJly1CpVEyZMgVXV1eMRiOjRo1i9erV9O3b977x9e7dm969ewMwffp0/P39CQgIICwsjNjYWH7//XeUSiVLly5l4sSJTJ06lVmzZuHg4MDmzZtJSkri+eefp3Pnzv/qd3H79m2+/PJL5s2bh5eXFwkJCfTq1YsNGzbQuHFj5s+fz1tvvUV4eDjBwcGEh4fToUMHTp48SUjIg6d6T5w4wfLly7GxseHtt9/m999/p3///gBERESwePFi7O3z/7HU6XQMGTKE4cOH59YpOTkZgFGjRjFkyBAaNGiAVqvltddeo3bt2jRt+uDRvn9Dm5WDjb1NvmO2DjZkZ5qPSpz+6xwGg4FaTYO4dCIq32O3b90mKyObW3FJjFo4jFtXk/j5k8V4VHCnWv3KRR73vXKytFgXqIPa3hZtlnkdqjapSc32Idg5O3DjwlU2T16J2sGWgOa1MOgN7PlpIy3e6mwaBS5GWo3WrB1sHGzNlnQBnD1gaocaTYK4fDLK7PE6rWqy9vsNbPxxMwBdh3bBxdPZInHfT2amFgeH/PVxdLQl454lLYWZO2sbBoOR7j2feWA5S8jJ0qIumEcOtuQU0gbVmtakVocQ7O/k0Z/frcTGwZbA5rVyy/SbPhidVselg+cw6Ip+prYw2VnmeWR7nzw689c5jAYDNZsWnkf3lnNwsqdSbf+iDteMRpNTSN7YkFnI36N7LZizH4PRSGgP870XJ4/FkZyYQav2QUUa66PSZGqxd8g/gObgqEZznzq17Vydtp2rExeTzNYNZ3F1K74ZzYIys/WUsc3bd+N45/8zs/UP7CRExmcwZ1sMM1+rUejjM7fGYDDC8w28izbge9irVWRk6/IdS8/WYV/I7HZMciY30rLY+F4LdAYDlxIymLzlXL4y322JZMrWSGqXdybE3w3tf/0WO6LE/KtOQmhoKADBwcEkJCSQnZ3NiRMnCAoKomrVqgC88MILfP3116SnpwPg7++f20EoeJ6aNWui0WhyL2Br1apFTIxpNMdgMLBgwQL27t2LwWAgNTX1kZfQrFy5kvDwcBYtWoRSqWTnzp2cPn2anj1Na3v1ej2Ojo6AaSbis88+A8DNzY327dv/69/FsWPHiIuLY+DAgbnlFAoF0dHR1K9fnw8++ACtVsvRo0cZOXIkW7Zswdvbm2rVqmFn9+BpxdDQUBwcTKOEPXr0YOvWrbmdhE6dOpl1EACuXLmCTqfL1+lxdXUlMzOTQ4cOkZSUlHs8IyODS5cuWaSToLa1zrcWGSArMxsb+/wfatosLZvm7+D1cYWPJlqpTR8Ybfs1x9rGmrKVvanTsibn/rlo8U6Cta2anAJ10GqyC10ace8+g7JBvtTp8iyX/j5LQPNanN5yGHd/b3wCLLuZrjBqO7VZO2RnZmNjZ94OWxZs55WvC++Q34y9xYqJa3j5s95UqVeFxPhEFn+1HCc3RwKfDbBY/AXZ26vJyMhfn/SMbBwKXMDea/mSA2xYd5QFvw5GXUx7We5lbatGWzCPMrOxtjPPI/cCeRT83LNc/Ptsvk4CmJYeBTavxW/DZuNR0RvPSpbdF2Jja55HWffJo80LtvPq2PsP7Nx1dPsJ6rU1LV+zNDs7a7O8yUjPxt7+/sucVi87wub1p5m1sF+hebNp3Slatgt84Dksyc5eTWZG/g5BZoYWu4fEU8HPlYpV3PnfhB2MndrNkiHmWn80ga9WXwAgpJIz9jYq0rPzOrjpWab/t7dRFfp8gOhbGt6ef5pPulfmmcrmgxNL/oon7MgNFg+pW+gG6KKSqdXjUGCNvoPaikytzqzsyI5BqFVK2k3bjSZHzyuNKvK/PvV4Y9E/+coZjHAiLpXOtcryQv0K/H441mLxi/szFM+Yy1PrX3062tiYPnxVKtOb9+4a+Acp7OK14Hnu/qxUKnPPuX79eo4cOcKSJUtwdHRk7ty5REVFPfT19u/fz/z581m6dGlup8JoNPLOO+/Qq1evhz7/URX2uzAajQQGBrJkyZJCnxMQEMCff/6Jp6cnjRo1YtKkSfj4+NCoUaMniqWw3/GDGAwGFAoFq1atwtr6wdO5RcGzgjsGvYFbVxPxKG+aVr52+Qbe/vk3Cd66mkTyjRTmjlgEgD5HT1ZmNuP7TmPI9DcoW8m0+ezeC4niGot3KeeOwWAgJT4xd8lRYtSNR9p4fG+8cSevEH82mgVHTR+S2ekabl25zq0rN2gx8OEzWE/Co7x5O1y/fAOvAu2QeKcdfh65EMhrh4n9pjJo2pvciE7Ao7w71UJMAwOeFTwIaFCN84cvFWsnwd/fE53OQHT0Lfz9TUsEz0deo3LVwkcO/1jzD7/M38X8RYPx9in+deMAroXk0a2oG/k6BPdn2n9wPwa9nts3UizeSfAo5P18/Yp5Ht19P8/7eCGQl0ffvjyVd6a/iau3qQ1SbqZy5WQUPYZ1sWjcd/n6u6HXGYiNTsLX37Tk6OL5BCpVKbwNNqw9weIF4cz8pR9e3k5mj2dn5bBrWyTfTrv/jQosrYK/K3qdgbiYZCrcWepy6fxNKlZxf8gzQa8zEB9XfHsSutb3omv9vI3EI5acIzI+g851Tb//yGsZeDha33cW4WpyFm/MO8U77fzoHmL+Xl996Do/7Yrlt3fq4ONy/wGDohCTlIFKqcDX1Y7YZNN+oADvMly+mWFWNsC7DHN2X+J2luka5/fDsQxuWQVnO2tSNTlm5VVKxVOzJ+G/6L++3KjIutbBwcGcO3eOS5cuAbB27Vpq1KiRO1L/b6WlpeHq6oqjoyNpaWls2LDhoc+JjIzkiy++YM6cObi55a03bdOmDUuXLiU1NRUArVbLuXOmab5GjRqxZs0awLQUZ/v27f865nr16hEdHU14eHjusZMnT2I0mpKtcePGzJgxg8aNG6NWq/Hx8WHt2rU0btz4oefevHkzmZmZ6HQ6wsLCHqljUalSJaysrNi0aVPuseTkZBwdHQkJCWHevHm5x69du5a7b6GoqW3V1GwaxLZf96DN0hJ1Jpazf5+nfpv80/beFb345Lf3eX/W27w/621eGP4cji4OvD/rbVw8nXAv50bFWn7sXLYfnVZHQsxNTuw5Q/Vnq1kk7ntZ26qp3LA6h5bvJidLy7VzMVz5J5KAlnXMyl4+FElWugaj0ciNC1c5ufEQlRqY7njSdlh3+n4/hD5TBtFnyiC8qpSjQe8WNHy5tcXroLZVU6NJdXYs3o02S0v0mRgiwiMJbpO/Dl4Vvfh40XDenTGId2cMosf7XXF0ceDdGYNw9nCibBUfEuMTuXT8CkajkcRrSUQeOo9PJcvdQaQwdvZq2rSvyZwZW9Fkajl+NIo9O8/wXDfzNeMbNxxj5v82M+ent6jg+/ALJ0uxtlVTpWF1wu/kUXxEDJf/iSSokDy6dE8eXb9wlRMbD1H5WVMeXYuMIz4iBn2OHl12DofX/EVmSgbeAeUtXoe7ebT9t7w8Ovt3JPXa5q+Dd0UvRv06nGEzBzFs5iB6Djfl0bCZpjy66/iOk/jV8MW9nFvBl7IIO3s1LdsG8vPsfWgytZw8Fsf+3Rfp+Jz5LVC3/nmGeTP2Mv3HPpSvUHjHcs/O85RxsqH+s5ZfKnU/dnbWNG9TjV/mHECjyeH08asc2HOJ9l3Mb4H659pTJN9ZQx91OZGlv/xD/WeL59a5heke4sXqQ9e5eCOD2xodc7fH0OM+S4RupGbz+txT9GtSjpcam+81WH80gf9timL+wNr4ulv+Ajsrx8CuyATeblEFW2sldSo406KaJ5tOXzMrezb+NqG1y+Jgo0KlVNArpAIJaVmkanJwtbemfQ1v7KxVKBXQqJIbHWr48E9UUiGvWvyUSgXW1kqUSkW+/xf/fxXZPLubmxvfffcdI0aMQKfT4ebmxuTJk5/4vD169GDHjh106tQJd3d3QkJCyM5+8FrjhQsXkpmZyfDheffVnz59Oj169CAlJSV3eY7RaKRv374EBQUxZMgQxowZQ6dOnfD09OSZZ/79OmVnZ2dmz57N5MmT+fbbb8nJycHX15e5c+eiUCho3Lgx33//fe4FfqNGjTh69Ch16phfIBRUu3Zt3njjDZKSknj22Wd58cUXH/ocKysrZs+ezdixY5k9ezYKhYI33niDHj16MGXKFCZMmEDXrl0BcHBw4JtvvsHT0zK35OwxNJRV09Yxrs807J3s6DmsM94VvbhyOoZfPlvK2D9Go1IpKeOW17m0K2OHQqnId6zv6J6snr6BsS9OwdHFgQ4DWlG1nvmt8iyh5cBQds5ax4I3pmJbxo6Wb4fi7udF/Nlo1n+zlEFLTLdzvLj/NDtnrUOv0+Ho5kS9Hk0Ial0XMO0BsLlnb6nSSoXa3gYbh+K5G1XXd0NZO30dE/pOxd7Jjm7vhuLt70XU6Wh+/WIpX6z5pPB2UOS1g3tZN3oO78afP24mJSEVW3sb6rauTUjH4vmuh3uN+awnX32+kjYtxuLibM+Yz3tSpaoPR49cYeigBRw4PA6AWT9sITU1k/59ZuY+N7RrPT778vlij7n126Fsn7WOn1435VHrO3l09Ww068Yv5Z2lpjy6sP80O2beySN3J0J6NqH6nTzS63Ts/XkLqTeSUVopcffzotunfXF0K1Msdeg+NJTV09fxzUumPOo+1JRHd7/74Ku15nlkXyCP7jq64yQtehXvht+PPu3AhC830rX1DJxc7Pjo0w5UrurJiaOxjBjye+6tTX+auZfUVA0DX16U+9wOXWry8eedcn/evO40HbvUKpalUg/y/idtmPz1Vl5oOwcnFzuGf9KWSlU8OHk0jtHD1rLxr2EAnD4ez4JZf6HJ1OLsak/LdtV4Y0jRLzN9VM2D3HizVQVem3uKrBwDHWp7MKxDXofruSlHGNTGl671vVh18DqxSVnM2hbNrG15G+WPfGOK//vNUaRk6njxh7w7nHWt78VXL1huIOm7zef4vEsNtrzfklRNDpM2R3D5VgbBvi78r08wrabsBuCHnRf4qH0Aqwc3xVql4NLNDEauMt0RzAi8UL8CozsFoTcjcGoAACAASURBVFAouJ6axbTtkey7ULx3jLufbi/WpudLdXN/btqqMmuXn+CP5f/u7n6lwX99O4jCeHd4Wzz1Ro8eTa1atXI7OSVt7ZXFJR3CE4vNKN2jIGX/H8xCd/G3/J14LO2XSPNlBaWJz/+DPGpRrvTfllGrL/11KLvjn4cXeoo1Om35O2tZWvVD5jMYpc2iP14p6RAAWOfT6eGFHlO365uL/JyW8t/4NgwhhBBCCCEeg3zjsnigmTNnsm3bNrPjCxYswN296Nc0R0REMHr0aLPj/fv3Z+LEiUX+ekIIIYQQwtx//RuXpZPwEEOHDmXo0KHF9nrVq1cnLCys2F5PCCGEEEKIgqSTIIQQQgghRAH/9eVGlvt2ESGEEEIIIUSpJDMJQgghhBBCFPBf35MgMwlCCCGEEEKIfGQmQQghhBBCiAIMhv/2ngTpJAghhBBCCFGAXl/SEZQsWW4khBBCCCGEyEdmEoQQQgghhCjgv77cSGYShBBCCCGEEPnITIIQQgghhBAFGP7jexKkkyCEEEIIIUQBstxICCGEEEIIIe6hMBqN/+1ukhBCCCGEECIfmUkQQgghhBBC5COdBCGEEEIIIUQ+0kkQQgghhBBC5COdBCGEEEIIIUQ+0kkQQgghhBBC5COdBCGEEEIIIUQ+0kkQQgghhBBC5COdBCGEEEIIIUQ+0kkQQgghhBBC5COdBCGEEEIIIUQ+0kkQQghhEdnZ2SUdwhNJT09/pGNPM71ez6BBg0o6DHGPpKSkkg5BiEcinQTxVLpy5Qrbt28HICMjg5SUlBKO6PHt2bOHSZMmMWnSJPbs2VPS4TwWnU7HkiVLeO+993jvvfdYsmQJOp2upMN6LG+++Sa7du3CaDSWdChPRKPRcOXKFS5evJj7r7Ro06YNEydOJCYmpqRD+VdeeeWVRzr2NFOpVKSkpGAwGEo6lMem0Wge+K+0OXHiBK1bt6Znz54AnDp1is8//7yEo3o8f//9N4sXLwbg1q1bXLlypYQjEpZkVdIBCFHQ2rVr+fHHH8nJyaFdu3bcuHGDsWPHsnDhwpIO7ZFNnz6dnTt30qVLFwCmTZvGsWPHGD58eAlH9mjGjh3L1atX6dGjBwBhYWFERkYyduzYEo7s0fXp04dFixYxfvx4+vTpQ+/evXF1dS3psB7Lr7/+yvTp03FxcUGhUACgUCjYsWNHCUf2aNatW8eKFSt49dVXqVKlCv369aN169YlHdZD6XQ6cnJyMBgMZGVl5XY009LSSuXFad26dRk6dCjPPfccDg4OucdbtmxZglE9XL169XLzvjARERHFGM2TmzBhAj/99BMjRowAoHbt2owePbqEo3p08+bNY8+ePdy8eZP+/fuj0+kYM2YMy5YtK+nQhIVIJ0E8dRYtWsTq1avp168fAJUrV+bWrVslHNXj2bx5M2vXrsXe3h6AAQMG0LNnz1LTSTh06BAbN25EqTRNNnbu3Dm3w1NadOjQgQ4dOnDp0iWWLVvGc889R9OmTRkwYAC1atUq6fAeyaJFi9i8eTPe3t4lHcq/4u7uzpAhQxg0aBA7duzg66+/Zty4cfTv359+/fphY2NT0iEWau7cucycOROFQkFwcHDucUdHR15//fUSjOzfuXsxfe/FnEKheOo7CefOnQNg9uzZqNVq+vTpg9FoZOXKleTk5JRwdI8vJyeHqlWr5jtmbW1dQtE8vg0bNrB69Wp69+4NgI+PT6lbficej3QSxFPH2to632gXmKbMSxMnJyfs7Oxyf7axscHJyakEI3o8Li4uaLVabG1tAdPIqpubWwlH9e/cHYm0trbGxsaGUaNG0bx581Ixgufj41NqOwh3aTQawsLCWLp0KX5+fvTu3ZuDBw8ycOBAfv3115IOr1BDhw5l6NChjB07li+++KKkw3liv/32W0mH8ES2bdvG2rVrc39+8803ef755xk8eHAJRvX41Go1GRkZuX+TLl68+NR2lAtja2tr1ql50EyPKP2kkyCeOi4uLly5ciX3j09YWBg+Pj4lHNXjqVevHm+99Vbu2tN169YREhKSuzfhaR/Bq1atGn369CE0NBQwzYzUrl2bJUuWAOTO8jzNtmzZwpIlS7h16xb9+vXjzz//xMHBAZ1OR4cOHUpFJ2HYsGF8+umntGzZMt/FxNOeP3eNHTuWrVu30qZNG6ZMmUJAQAAAXbt2pVOnTiUc3cPd7SBotVr0en3u8XsHAEqLtLQ0rly5km8zeYMGDUowokeXlZVFdHQ0/v7+AMTExJTKZV+DBw/mzTffJCEhgdGjR7Nv3z4mT55c0mE9Mh8fHw4fPoxCocBgMDB37lyqVatW0mEJC1IYS/uuPvH/zuXLlxkxYgSXL1/Gzc0NW1tb5s6di5+fX0mH9sgetLlRoVA8tSOod33yyScPfHzChAnFFMm/N2jQIPr370/z5s3NHtu5cydt2rQpgagez4QJE1i/fj2VKlXKXfpVGvLnrvnz59OrVy+cnZ3NHktISMDLy6sEonp027ZtY9y4cSQkJKBQKDAajSgUilK3Fn7jxo1MmjSJ27dv4+XlRUxMDEFBQflG559mW7du5fPPP89dJnj27FnGjRtHu3btSjiyxxcbG8u+ffswGo00a9Yst+NTGty8eZNRo0Zx6NAhFAoFzzzzDJMnT8bDw6OkQxMWIp0E8VTS6/VERUVhNBqpVKlSqVtuJEqWXq/nyy+/ZPz48SUdyhNp06YNGzduzF32VZro9Xp69epVai5EC9O+fXsmTZpEcHBwbietNOrWrRu//PILb775Jn/88Qd//fUXW7ZsKVU3IkhMTOTEiRMABAcHl8rlj0lJSTg6OqJWqwHTDFV6enqpq4tGo8FgMJgtCxb//5Tev3ri/61hw4Zx5swZqlSpQtWqVVGpVEycOLGkw3psMTEx7N+/nz179uT+K03+/vtvVqxYwZIlS3L/lRYqlYrIyMiSDuOJ+fr6YmVVOleFqlQq7O3tS/V3JTg7O1O/fv1S3UEAsLKywt3dPXfJVNOmTTl16lQJR/V4bt++jcFgoM3/tXf3YTXf/x/An6eUbiQ3o22N3G1lk7uMctMsMppKipZWvn4tZEgryj3lJ0TMbcPctJVRKpW5GU24xPjN100T0w3Zd5pORZLq1Of3R9f5fB01zmGn93mfXo/r6prz6Z+nK+uc1+fzer9eDg5o2bIll2Oxp02bptC2JpPJuDpXkZKSgocPH8LQ0BDGxsYoKytDamoq61hEjfh89yFa7fLlywgJCcG8efPEx8kXLlxgnEo1a9asQUpKSoM2EV56yUNCQnDr1i1YWVlx+xTH1tYW4eHhGDdunDhlCkCD6SKazMLCApMnT8bIkSPFu48AH2dCAKBr167w9vbGJ598ovAz0PT88n53R0dHxMfHw8nJSeFMCG9nEvT19SEIAiwsLPDdd9/B3NwcT548YR1LadowFhuof3Lw7L8d3oroXbt2iWOxgfrzg7t27YKLiwvDVESdqEggGqdDhw7YunUrpk+fjj/++AOTJ0/mbiHWiRMncPLkSe4+TMhdv34dhw8f5rZAAIDDhw8DAE6dOiVe42nHAFA/MrFz5864desW6yivpLa2Fu+++y7y8vJYR1GJfD6//PdOeHg412cSAgMD8fjxY4SEhGDZsmUoLy/H0qVLWcdSmjaMxZYrKSkR24ukUimXS+6e9eyTEaJ9qEggGumtt97C999/j9mzZ6OwsJC7X6RvvfUWV/Ovn9e5c2dUVlaiVatWrKO8soyMDNYRXhsPB8RfhNf88vn82sLOzg4AYGJiwt3dd0A7xmID9QMtvLy84OrqCqB+ct/UqVMZp1Jehw4dcPz4cYwaNQpA/QS59u3bM05F1ImKBKJx5O05JiYm2LFjBxYvXozff/+dcSrVhIWFYfr06RgyZAiXbSKhoaHw8fGBjY2NQv558+YxTKW627dvi61qtra26N69O+NEqsvLy0NOTg6qq6vFa88+8tdklZWV+Oabb1BYWIh169YhNzcX+fn53EylaWzMJo9PB6VSKSIjI/Hnn38iLi4OOTk5uHz5Mry8vFhHU4o2jMUGAA8PD3Tq1Ek8nxYREYGBAwcyTqW8BQsWYMaMGeLYVl1dXWzdupVxKqJONN2IcOE///kP3n77bdYxlBYUFIS8vDxYWloq3PHi5c7qlClT0LJlS/Ts2VMh/8yZMxmmUk1KSgrWrVsnngM5ffo0QkJCuOqfjY2Nxf79+/HgwQNYW1vj0qVL+PDDD7Fz507W0ZQSGhqKDh064Oeff8bhw4dRUVEBb29vpKSksI6mFCsrqwbLolq0aIHevXsjIiIC3bp1Y5RMNQEBAbC3t0d8fDzS0tJQXV0Nd3d3pKWlsY6mlPz8fAQHB3M9Fltb1NbWIj8/HwBo8mAzQE8SiMb4v//7P4WFY8/jqUjIzs7GsWPHuN1Gef/+fRw5coR1jNeya9cuJCUloUOHDgDqZ3z7+flxVSQcOHAACQkJ8PLywrfffotbt25hy5YtrGMp7ebNm1i9ejXOnj0LADA2NuaqdTAoKAgtW7aEh4cHBEFAcnIySktL0alTJyxdupSbTcZFRUXw8vLC/v37AdQfZOZpYlPXrl2RkJDA7VjsqKgozJ07F7Nnz270PeHrr79mkEp51dXV0NfXF5+smZubi9cBPp+uEeVQkUA0RnJyMmxsbBq9S8rTZCAA6NKlC548ecLtHGlLS0sull29jLxAeP7PvNDX14eRkRHq6uogCALee+89FBQUsI6ltGdb1QCgqqqKqyEEx44dQ1JSkvja19cX48ePR1JSEnbv3s0wmWqeH6P76NEjrn4O+fn5ePvtt9G9e3ecOXMGGRkZ8PT0bHRJnyaysbEBAHz88ceMk7waT09PJCcniwf65Xg9yE+UR0UC0RjyxVe83J17kVatWmH8+PEYNmwYlz395eXlcHZ2Rr9+/RRGP2r6Ha9nde7cGRs3boSnpycAICEhAZ06dWKcSjWGhoaoqamBlZUVoqKi8NZbb3F1J37AgAGIiYlBdXU1Lly4gN27d3Ox6VqusrIShYWF4r+bwsJCcXQoT3eyHR0dsWTJElRUVCApKQnx8fFwd3dnHUtpc+bMQWJiIgoLC7F06VIMGTIEoaGhiImJYR1NKQ4ODqitrUVhYSFmz57NOo7K5AsRte1AP3k5OpNANM7Fixfx/vvvw9jYGAkJCbh27Rr8/f25+oC3efPmRq/z0tP/d1ty3dzcmjjJq5NKpVixYgXOnTsHoH6B1MKFC7maxnHr1i288847qKysRHR0NMrLyxEQEICePXuyjqaUmpoa7Ny5ExkZGRAEAQ4ODpg2bRo3H7CPHTuGJUuWoFevXgDq2wiXL1+OoUOH4rvvvuNqEVZqaqrCz0E+YYcHbm5uSE5Oxvfff4/Kykr4+/vD1dUVhw4dYh1NJR4eHkhMTGQd45VowwZ1ojoqEojGcXZ2RmpqKm7fvo3AwEC4uLjg3LlziI2NZR3tH7N161bMmDGDdYxXtmzZMixbtox1DK1WW1uLLVu2cHnnUS43N7fBRKnGrmmy4uJiXL16FQDQp08fropMufv373M5DUjOyckJsbGxCA0NxZw5c2BtbQ0XFxfutv1u3rwZhoaGDRY88tLT7+3tjV27dik8XSbajdqNiMZp0aIFJBIJTp8+DS8vL/j4+ODo0aOsY/2jfvrpJ66LhCtXrrCOoJSsrCzcvXsXMplMvMbLGFpdXV2cPn2a6yIhJCSkwZ3Hxq5psjfeeIOrFqnGeHh4oF+/fvD29oatrS3rOCqbPHkyRo8eDTs7O1hbW6OwsBAmJiasY6lM/oRZPkIUAFc9/bxuUCevjooEonFkMhmuXLmCn376CREREQC0b6sjPcBTv7lz5+LmzZuwsrLipr3lecOHD8e3337L3Z3HkpISlJSUoKqqCrm5ueK/9/LycrGnX5NNnjwZe/fuha2tbaMHNbOyshimU11GRgZ+/PFHrF+/HuXl5fD29oarqys3yxI9PT3Fs0VA/XQdng6Oy/He08/rBnXy6qjdiGicEydOYNOmTbCzs0NYWBjy8/Oxbt26v+3z55G8x5ZXPOQfPXo0Dh8+zG2BANTP6ZeTSCTcTBPZu3cv9u7d22BClomJCT7//HNMmDCBYbqXk+f+448/Gv2+fAQkj3799Vd89dVXePToEdzc3DBjxgyNb6GKi4tr9DqPd7BLSkrEJ7F9+/ZF27ZtGSci5O9RkUC4w3s/P8DHh+wX4SH/1KlTER0dzc3dUm0UExPD1eHexjx+/Bh37tzBBx98wDrKa/njjz/www8/ID09Hba2tpgwYQLOnz+P48ePa/xyu/nz54t/rqqqwoULF9CnTx/utv0eP34cixcvFv8t3bhxAxEREdxsIJfJZNi/f7/CFvuJEyc2GLFLtAf9ZAl3eO/nB/hvN+JhEVNoaCh8fHxgY2PD5RhabdDYE4/AwEBuRulmZmZiyZIl0NXVRUZGBq5du4YtW7ZwM3pTbtq0afj999/x2WefISkpSbx73b9/f/z444+M073c85vq//rrL4SHhzNK8+rWr1+PH374AV27dgUAFBQUICAggJsiYfny5fjPf/6DcePGAQAOHTqEnJwcLn8WRDlUJBDu8P4BG6jfBswDqVSKqqoq8bV86/XBgwdZRVLaihUrYGZmBhMTE65bjnh29+7dBtd46mfeuHEjEhMT4e/vDwCwtrZu9O+k6dzc3ODo6Njo/wfp6enIyclRaG3TdB07duRqqaBcy5YtxQIBqF+6aWBgwDCRai5evIgff/xRvEk0ZswYfPrpp4xTEXWiIoFwp7G19pomJycHS5cuRU5Ojri6HvjvndV27dqxiqaUrKwshIWFQSqVQkdHBzU1NWjTpg1XBzbv37+PI0eOsI7RLB04cAD79+9HQUEBPDw8xOvl5eUKH5J48Pym7ue3SPNg9OjRL/z+/PnzNbp98NkzCYIg4Nq1axr/O7QxI0aMwLZt2+Dh4QFBEJCUlIQRI0bg6dOnEARB4wcStGnTBtXV1WJhI5PJuPw5EOVRkUCIGixbtgxz5sxBZGQkdu7cibi4OBgbG7OOpbSoqCjs2bMHQUFBSE5ORmJiIu7du8c6lkosLS0bHJwlTWPIkCGwsLBARESEQntXq1atYGlpyTCZaoyNjVFcXCzemLhw4QKXozdfRtOfzl6/fl38s66uLrp3765wToEXW7ZsAdBwc/3mzZu5GEjw7rvvwtPTE05OTgCAo0ePwtraWizieDxITl6MigTCHU1/QwOA6upq2NnZQRAEdOzYEUFBQXB3d8fUqVNZR1Na165dIZPJIJFIMGHCBIwfPx5BQUGsYymtvLwczs7O6Nevn8LyH1764Xlmbm4Oc3NzpKens47yWkJCQuDv74979+7Bx8cHBQUF2LZtG+tY/zhNfzr7/JmE5/EyzOJlI1BLSko0+s68TCbD+++/L7Z6WVlZoaamRqGII9qFigSisaqrqxX2I8gfxfLQzy/v2TQ1NUVOTg7MzMxQWlrKOJXy5NMqzMzMkJGRAXNzczx8+JBxKtWMHTsWY8eOZR2jWSsvL8eOHTtw48YNhbMtvGxPv3nzJv73f/8XDx48AAD069cPrVu3ZpyKPE8bhlkAgJ+fn0a3fb2sWEtMTFRoLyT8oyKBaBz5EjX5G/Pzs+E1+U6L3KefforS0lJMnToVXl5eqKur42pzrq+vLx4+fIjAwEAEBwejvLwcCxYsYB1LJW5ubqwjNHsLFixA9+7dUVBQgMDAQBw8eJCrUaK//fYbvv32W9TU1MDW1hbl5eWwtbXFG2+8wTraP4qHp7Mvwnt+Od7/HnFxcVQkaBkqEojGWbNmDTZs2IC+fftyMWrzeXV1dbCzs0Pbtm1hb2+PX375BVVVVdzM66+rq4OJiQlMTU3Ru3dv/PTTT6wjvZKCggLMnz8fRUVFyMjIQHZ2NjIyMjBr1izW0ZqNO3fuYNOmTTh58iTGjh2LUaNGwdfXl3UspS1duhRA/SH4U6dOITo6Gn/++afG946rivdeck1vl1IW738P3osc0hB/n8CI1jM1NUX//v25LBCA+lajuXPniq/19PS4KRCA+vwbNmxgHeO1LVu2DAEBAeJB0549e+Lo0aOMUzUv8klAenp6KCsrg56eHkpKShinUt7169exY8cOLFiwAHFxcRg6dCiio6NZx1JZQUEBvLy84ODgAADIzs7Gpk2bxO9r+gZswgfeixzSEJ+fwohWc3R0RHx8PMrKylBZWSl+8cTCwoK7aUDPsrKywtWrV1nHeC3l5eWwt7cX37h0dHSgp6fHOFXz0qVLF5SVlcHZ2Rmenp6YMGECV+1GHh4eyMjIQEBAANLS0hAeHo4xY8awjqUybS+YteUOtrb8PYj2oHYjonHWr18PAAgPD4dEImlwJoEHFRUVcHFxgY2NDYyMjMTrvEzWyc7OhpeXFywsLBTyJyYmMkylGl1dXdTU1IhFQlFREbdPp3i1du1aAMCUKVNgbW2N8vJyDBs2jHEq5R04cADnz5/H1q1bIZVK0b9/fwwePBijRo1iHU0l8oJZ/hSEt4L58ePHMDIygo6ODm7duoXff/8djo6O4pMqHoZZKMPR0ZF1hNdCRY72oSKBaJyXjYnjgYuLC1xcXFjHeGWLFi1iHeG1TZo0CTNnzkRpaSk2bdqElJQUrka4aouSkhJcuXIFANCnTx9xchYPevfujd69e8PV1RU///wztm/fjv3793N1wwLgv2D29fXF999/j4qKCvj5+eG9997DmTNnsGrVKgCaP8xizZo1L/y+fJfIl19+2RRxXtm5c+dgY2OjMFL6WfKfB9EeEoFKP6KB8vPzkZubi5EjR6KiokLc+EualqbP7X6ZS5cu4eeff4YgCHBwcMCAAQNYR2pWjh8/jsWLF6NXr14QBAE3btxAREQERo4cyTqaUsLDw3H+/Hk8ffoUtra24hdvC/pSUlJw5MgR3Lx5E+7u7mLBzMuIYDc3NyQnJyMhIQH379/HrFmz4OzsjLS0NNbRlLJ582YAwN27d3Hx4kXxicGJEyfw4YcfYvXq1SzjKW3q1Km4cuUK3nvvPdjZ2cHOzg69e/eGrq4u62hEXQRCNMzBgweFTz75RHBwcBAEQRByc3OFyZMnsw2lovz8fOGzzz4TPv74Y0EQBOH69evCxo0bGadS3r///W9h+PDhgr29vSAIgnD16lVh0aJFjFMR3owePVrIy8sTX+fn5wujR49mmEg1P/zwg3Dnzh3WMf4RFy9eFNasWSOsXr1auHjxIus4KhkzZoxQVVUlBAYGitldXFwYp1Kdj4+PUFJSIr4uKSkRfHx8GCZSXU1NjXDx4kVh06ZNwscffyz079+fdSSiRvw89yXNRmxsLA4ePCiO5evWrRuKi4sZp1KN/KDgunXrANQfFJw3bx434zcjIyOxY8cOhISEAACsra0RFhbGOJVq8vLyEBMTg7t370Imk4nXeTpXwbuWLVuia9eu4usuXbrAwMCAYSLVeHp6so7wjxkwYAAGDBiA6upq7hYjOjk5YciQIbCwsED//v3x4MGDv2150WTFxcVo27at+Lpt27ZcvbeVlJTg/PnzOHfuHP7973+ja9eusLOzYx2LqBEVCUTj6OnpwdjYWOEab48zeT8oWFNTgx49eihc4yk/AAQGBsLV1RVubm7c/fvhnXwa2YgRI7Bt2zZ4eHhAEAQkJSVhxIgRjNM1P0FBQQgPD4eenh5cXV1RWlqKadOmwc/Pj3U0pcycORM+Pj4wMTGBjo4OjIyMFEa48qJHjx5YuHChuHAsKSmpwe9ZTTZkyBD07dsXX375JZYuXcrdewJRHRUJROO0adMG+fn54iG7Q4cO4c0332ScSjW8HxTU19dHRUWFmP/27dvc3blr0aIFvvjiC9YxmqV+/fqJk8kAxaleEokEM2fOZBWtWcrPz4eJiQmOHj2KQYMGYf78+Zg4cSI3RYKfnx8+//xzDB8+HABgbGzc4EYSD1auXInNmzcjIiICADBo0CCEhoYyTqW8devW4fz581i9ejU6duwIW1tbDB48mKuxxkQ1dHCZaJz8/HwEBwcjLy8P7dq1g4GBAWJiYtC5c2fW0ZTG+0HBzMxMbNu2DYWFhRg2bBjOnDmDqKgoDB48mHU0pUVHR8PGxgYfffQR6yiEMDV27Fikp6cjIiICgwcPxogRI+Dq6opDhw6xjqaU48ePIz4+HoWFheK+jWfbdkjTqqmpweHDh7Fx40at3EBO/ouKBKKRamtrUVBQAEEQ0LVrVy7bRXifrFNYWIgzZ85AEAQMHToUFhYWrCOpJCsrCzNmzICOjg709fXFfRtZWVmsoxHSpAIDA1FRUYG8vDykp6dDR0cHnp6e3BQJcrm5udi3bx+OHDmCIUOGwNfXF7169WIdS2lSqRSRkZH4888/ERcXh5ycHFy+fBleXl6soyll165dyMrKwrVr12BpaQlbW1vY2dmhb9++rKMRNaEigWikrKws5Obm4vPPP4dUKsWjR48UDkAS8jKOjo4IDg7GBx98oNDqZW5uzjAVIU3v6dOnOHv2LCwtLdGpUycUFRXh5s2bsLe3Zx1NJXl5eYiPj8eJEycwbNgw/Prrrxg2bBg3QxUCAgJgb2+P+Ph4pKWlobq6Gu7u7tyMco2OjoadnR369+/PXfspeTV0JoFonO3btyMzMxMPHjzA559/jpqaGixYsAD79u1jHU1pvE/WuXTpEqKjo3H37l3U1tZyeRfe1NQUo0ePZh2DEOYMDAwUdlOYmZnBzMyMYSLVHDt2DHFxcSguLoa3tzcOHz4MY2NjyGQyjBo1ipsioaioCF5eXti/fz+A+rNfPJ1V++qrr/D48WPcvn2bziE0E1QkEI2Tnp6OgwcPYsKECQCAN998E48fP2acSjW8T9ZZuHAh5syZg169enH1JvaskSNHYt++fRgzZozCQi4SwgAAFsBJREFUXS9DQ0OGqQhpejk5OVi6dClycnJQXV0tXuellzwpKQn+/v4YNmyYwvUWLVpwtR3++W3jjx49Ak/NHJmZmViyZAl0dXWRkZGBa9euYcuWLYiJiWEdjagJFQlE4xgYGDQYrSafssML3ifrtG7dGmPGjGEd47Vs2LABALB8+XJx0o5EIuHmgxEh/5Rly5Zhzpw5iIyMxM6dOxEXF8fVdKBvvvnmb7/n4ODQhElej6OjI5YsWYKKigokJSUhPj4e7u7urGMpbePGjUhMTIS/vz+A+v05d+/eZZyKqBMVCUTjvPnmm7h06RIkEgnq6uoQExODd999l3UslQwbNgyZmZncTtYZO3Ys93fhc3JyXvj9kpIStGvXronSEMJOdXU17OzsIAgCOnbsiKCgILi7u2Pq1KmsoymlvLwcO3bswI0bN1BVVSVej42NZZhKdf7+/khNTcWjR4+QmZkJHx8fuLq6so6lkg4dOii81tfXZ5SENAUqEojGWbx4MUJDQ/H777+jT58+GDBgANauXcs6lkrs7Oy4nqzTvn17LF68GOHh4QCglXfh/fz8kJyczDoGIWonb3k0NTVFTk4OzMzMUFpayjiV8hYsWIDu3bujoKAAgYGBOHjwILc98S4uLnBxcWEd45UYGxujuLhYfLJ/4cIFmJiYME5F1ImKBKJRamtrkZGRgV27dqGyshJ1dXVcPRaXW7JkCSIjIxtM1uFFdHQ0YmNjuc2vDJ56gQl5HU5OTigtLcXUqVPh5eWFuro6zJ49m3Uspd25cwebNm3CyZMnMXbsWIwaNQq+vr6sY6ls1apV+PLLL2FoaAhfX1/89ttvWL58OTdPE0JCQuDv74979+7Bx8cHBQUF2LZtG+tYRI2oSCAaRVdXF/v374enpydXrS3P432yTseOHWFtbc06hlrxds6FkFc1ZcoUAIC9vT1++eUXVFVVoVWrVoxTKU/e0qKnp4eysjKYmpqipKSEcSrVnTt3DmFhYTh16hTMzMywfv16TJ06lZsioXfv3oiNjcWvv/4KoH6zeuvWrRmnIuqknbcICdcGDRqEo0ePso7xWuSTdcrKylBZWSl+8cLW1hZRUVHIzs7G7du3xS9CCH8EQUBCQgKioqLED9ryD3o86NKlC8rKyuDs7CxuXOa13QgALl68CEdHR5iZmXF3s8LExAR2dnYYOHAg9PT0uHpfI6qjZWpE49ja2qKsrAwGBgYwNDTkrp8fAKysrMQ/8zhZp7GJIRKJBCdPnmSQRj3GjRuHlJQU1jEIUbuVK1dCKpUiOzsbR48eRWlpKfz9/TV+b0tjH0Czs7Px+PFjDBw4EEZGRgxSvbopU6agc+fOOHPmDJKTk2FsbAw3NzdulqkdP34cK1aswIMHDwBo51k1oojajYjGOXjwIOsIr+1lk3U0XUZGBusIry03Nxfdu3f/22uOjo4sYhHS5C5cuICUlBS4ubkBANq2baswJUhT9evX74V32nn7cLpu3TqkpqbCzc0NpqamuHfvntgKxoOoqChs2LABffv21dqzakQRFQlE4xgaGqJVq1ZiH2p1dTV3y9S0hVQqVfgw8fbbbzNMo5qQkJAG04uevfbll1+yiEVIk2vZsqXCh+26ujqGaZQnv9mydetW6Ovrw9PTU2ydqqmpYZxOde3atcO//vUv8fU777yDd955h10gFZmamqJ///6sY5AmREUC0TjTpk1TmH8tk8kwffp0HDhwgGEq1fC+4TQrKwthYWGQSqXQ0dFBTU0N2rRpw0XLV0lJCUpKSlBVVYXc3FxxilF5eTmePHnCOB0hTe+9995DamoqBEHAvXv3sH37dtjY2LCOpbSffvpJoeD38/PD+PHjMX36dIapVGdra9vokxEefq8C9U9f4+Pj4eTkxO3+HKIaKhKIxqmurlb4pWNkZMTFo/Fn8b7hNCoqCnv27EFQUBCSk5ORmJiIe/fusY6llLS0NOzduxd//fWXuBkUqD9wx/MWbEJeVVhYGFatWoUHDx5g4sSJcHBwQGhoKOtYSnv69Cnu3LkDCwsLAMDdu3e5PDD7bCttVVUV0tLS0KIFPx/D1q9fDwAIDw/n8qwdUR0//zpJs/LsNlypVMrN43E53jecAkDXrl0hk8kgkUgwYcIEjB8/HkFBQaxjvdTkyZMxefJkxMTEcHenkRB1aNWqFVasWME6xisLCgrCxIkT0atXLwDAb7/9hoiICMapVGdubq7wOjAwEBMnTuSm9ZG22Dc/VCQQjePj4wMvLy+4urpCEASkpqZy9eEa4H/DqfzulpmZGTIyMmBubo6HDx8yTqWa6dOno7KyEvfv30dtba14vUePHgxTEdJ0MjMzX/j9jz76qImSvJ5Ro0bBxsYGV65cAQD07dtXKz6MFhYWQiqVso7xj6Et9tqHigSicTw8PNC5c2ecOnUKEokEs2fPxqeffso6lkp433Dq6+uLhw8fIjAwEMHBwSgvL8f8+fNZx1JJXFwc1q5dC1NTU3ESh7aNcSXkRXbu3Pm335NIJNwUCQDQvn37Rkcz8+TZMwl1dXWQyWRYuHAh41T/HJqor31oTwLROEFBQQgPD4eenh5cXV1RWlqKadOmwc/Pj3W0V1JTU8PdhlNtMGLECMTGxjZ4xE8IISz88ccf4p9btGiBN954Q3zqDPDfruPm5kZPErQMDbolGic/Px8mJiY4deoUbG1tcfr0ae6WXqWkpIjtOXp6epDJZEhNTWWcSnnbt29HWVmZ+Lq0tPSFdyU1UYcOHahAIAT/3bi8du1aAMC9e/e42risLczNzcUvMzMzhQIBALc3woj2oiKBaByZTAagfnW9vb09DAwMuFvcsmvXLpiamoqv27Rpg127djFMpJrDhw+jTZs24uu2bdsiPT2dYSLVDR48GGvWrEF2djZu374tfhHS3ERGRuL8+fM4ceIEAMDY2BgrV65knIo8j/fGDt7zk4boTALRON27d8cXX3yBvLw8BAcH4+nTp6wj/SOePTyr6Rr7Zc9TfgDi06ejR4+K1+hMAmmOeN243Ny8aLs0D2iLvfahIoFonNWrV+Ps2bOwtLSEkZERioqKEBwczDqWSjp06IDjx49j1KhRAIBjx46hffv2jFMpr0uXLti9ezf+9a9/QRAE7NmzB507d2YdSyUZGRmsIxCiEXjduEw0w5o1a174/Xnz5gGgLfbaiIoEonEMDAwwcuRI8bWZmRnMzMwYJlLdggULMGPGDERFRQGoH4m6detWxqmUt3DhQsydOxfR0dGQSCTo16+f+HfRdNXV1dDX1//bZUu0HZQ0N7xvXG4uNLVdx8jICED9EruLFy+KTwxOnDiBDz/8kGU0omY03YgQNamtrUV+fj6A+sVkzx5Sy8nJgZWVFatoSnvy5AmA/75JyJ0+fRr29vYsIr2UfMKGlZWVuBVUjraDkubo8ePHWLVqlfh0zcHBAQsWLGjw/zVha8uWLRp9N97X1xdff/012rZtC6B+oEVgYCBiY2MZJyPqQkUCIQzwPiqO9/yENBe1tbXYsmULV3tatI2y7TqazsnJCT/++ONLrxHtwdfIGEK0BO+1Oe/5CWkudHV1cfr0adYxmjUjIyMYGRmhuLgYR44cgUwmg0wmw9GjR7nauNyjRw8sXLgQly9fxuXLl7F48WLaYK/l6EwCIQzwPsWC9/yENCfDhw/Ht99+i3Hjxim0GNH5nKYxc+ZMAPXtOklJSWK7TkBAAAIDA1lGU8nKlSuxefNmREREAAAGDRqE0NBQxqmIOlGRQAghhGixzZs3AwCioqLEczp0PqfpFRcXiwUCUD+Ktri4mGEi1bRq1QphYWGsY5AmREUCIQzw3q7De35CmpOcnBzWEQj+267j4eEBAEhKSuKqXUcqlSIyMhJ//vkn4uLikJOTg8uXL8PLy4t1NKImdCaBEAa8vb1ZR1BKSUlJo9eDgoKaOAkhhPBt5cqVMDExQUREBCIiItCqVSuuNl8vWrQINjY2ePToEQCgW7duiI+PZ5yKqBNNNyJEDaRSKb777jsUFhZCJpOJ17/++muGqZR35coVzJkzB3V1dcjMzMS1a9dw4MABsReVEEJI8zJ+/HgkJSVh3Lhx4kZ7V1dXHDp0iHEyoi70JIEQNZg1axakUins7OwwfPhw8YsXkZGR2LFjh9g/a21tjV9//ZVxKkII4ZdUKkVISIj4JDknJwf79u1jnEp5LVoodqg/evSIWk+1HJ1JIEQNHj16xPVd95qamga9snp6eozSEEII/xYtWgR7e3uxRadbt26YO3cuNz39jo6OWLJkCSoqKpCUlIT4+Hi4u7uzjkXUiJ4kEKIG7777LoqKiljHeGX6+vqoqKgQR53evn0bLVu2ZJyKEEL4VVRUBC8vL+jq6gKo/z2ro8PPxzB/f38MGDAAH3zwATIzM+Hj44PJkyezjkXUiJ4kEKIGjx49gouLC/r166fw4ZqXMwnTp0+Hn58f/vrrL4SFheHMmTOIiopiHYsQQrjFe7vOzZs34eLiAhcXF/FaQUEBunTpwi4UUSs6uEyIGiQnJzd63c3NrYmTvLrCwkKcOXMGgiBg6NChsLCwYB2JEEK4tWPHDhQWFiIrKwsBAQGIj4+Hs7MzN3fjrays8MknnyAqKgr6+voA6t/T/u79jvCPigRCCCGEkCaQmpqKjIwMCIIABwcHuLq6so6kNFdXVwwfPhwXLlxATEwM2rRpozDpiGgfajci5B+0d+9eTJ48GWvWrGn0+/PmzWviRKqZO3cuoqKi4O7uLp5HeFZiYiKDVIQQwj/e23V0dHQQFBSEhIQETJo0Cdu2bWv0fYJoDyoSCPkHyc8fGBkZMU7yauSPvUNDQxknIYQQ7eLq6tqgXScoKIibdh1548mECRPw1ltv4X/+539QWVnJOBVRJyoSCPkHffbZZwCAmTNnMk7yalatWoXvv/8emZmZmDt3Lus4hBCiNSwtLdGlSxf4+vqK7To8dXzL9zsAwNChQ7F161bs2bOHXSCidlQkEKImZ8+exY0bN1BVVSVe0/TiQSqVorS0FGfPnsWsWbMavIEZGhoySkYIIXzjvV1nwoQJCq8tLS0RGRnJKA1pClQkEKIGa9euxbVr13D79m2MGDECJ0+ehJ2dHetYLzVq1CgMHz4c1dXV6Nu3LwBAIpFAEARIJBLcuHGDcUJCCOETr+06dFat+aLpRoSogbOzM5KTkzF+/HikpqaiqKgIixYtwo4dO1hHU4q3tzfi4uJYxyCEEK2RkJCgcDf+5s2b2LNnj8bfjb9+/Tp69eqFX375pdHvDxw4sIkTkaZCRQIhauDu7o6DBw/C1dUViYmJ0NPTg7OzM9LS0lhHI4QQQgh5KWo3IkQNjI2NUVlZiX79+iEsLAwdOnSAgYEB61gvNXv27Bf2yPKyMZoQQjQF7+069L7QfNGTBELUoLi4GK1bt0ZtbS12796N8vJy+Pj44O2332Yd7YVeNoqPp43RhBCiCXhv16H3heaLigRCCCGEEEKIAmo3IkQN8vLyEBMTg7t370Imk4nXNf2xslxBQQHmz5+PoqIiZGRkIDs7GxkZGZg1axbraIQQwhVtadeRyWQ4ePBgg9Hemn7wmrw6KhIIUYPAwEC4urrCzc0Nurq6rOOobNmyZQgICMC6desAAD179sS8efOoSCCEEBV9/PHHrCP8I5YsWYLa2lpcuHABXl5eSE9Px4ABA1jHImpERQIhatCiRQt88cUXrGO8svLyctjb2yM6OhpA/RIgPT09xqkIIYQ/2tKzf+3aNaSlpcHZ2RnTpk3DpEmTMGPGDNaxiBpRkUCIGgwbNgyZmZn46KOPWEd5Jbq6uqipqREfkRcVFUFHR4dxKkII4Rfv7TotW7YEUP/+UFlZCRMTE0ilUsapiDpRkUCIGtjZ2WHGjBnQ0dGBvr6+uLE4KyuLdTSlTJo0CTNnzkRpaSk2bdqE5ORkfPXVV6xjEUIIt3hv1zE1NcXDhw8xbNgw+Pv7o23btjAzM2Mdi6gRTTciRA0cHR0RHByMDz74QOEOvLm5OcNUqrl06RJ+/vlnAPU9tTy9mRFCiKaRL9SU/7e8vBwzZszAd999xzqaUmpra6Grq4u6ujqkpqbi8ePHGDduHFq1asU6GlETepJAiBqYmppi9OjRrGO8sqCgIISHh6NXr15wdXVFQkICpk2bBj8/P9bRCCGES7y368iHcOjo6GDcuHGM05CmQE3GhKjByJEjsW/fPpSVlaGyslL84kV+fj5MTExw6tQp2NraIjMzEykpKaxjEUIIt55v15k1axZX7TqXLl3CpEmTMHToUNjZ2YlfRHvRkwRC1GDDhg0AgOXLl0MikYhnEm7cuME4mXLkux0uXrwIe3t7GBoa0sFlQgh5Ddu3b4euri6CgoIU2nV4sXDhQsyZMwe9evWi94NmgooEQtQgJyeHdYTX0r17d3zxxRfIy8tDcHAwnj59yjoSIYRwjfd2ndatW2PMmDGsY5AmRAeXCSENPH36FGfPnoWlpSU6deqEoqIi3Lx5E/b29qyjEUIIly5duoTo6GjcvXsXtbW14nVept7t3bsX+vr6GDNmjHi+AgAMDQ0ZpiLqREUCIYQQQoiaffLJJ4226/Ay9S49PR2LFy8Wnyzz1kZLVEftRoQQQgghasZ7u050dDRiY2MbjPYm2ot+yoQQQgghajZ27Fiup9517NgR1tbWVCA0I9RuRAghhBCiZry362zYsAE1NTVwcnJSOJPQo0cPhqmIOlGRQAghhBCiZg4ODvj666+5bddxcHBocE0ikeDkyZMM0pCmQGcSCCGEEELUTN6uw6O6ujosWbIEw4cPZx2FNCF6kkAIIYQQoma8t+u4ubkhOTmZdQzShOhJAiGEEEKImqWmpgIAjhw5Il7jqV3HysoKV69eRe/evVlHIU2EniQQQgghhKhRXV0dTp8+zXW7jouLC3Jzc2FhYQEjIyPxemJiIsNURJ2oSCCEEEIIUTPe23V++eWXRq8PHDiwiZOQpkLtRoQQQgghasZ7u468GHjy5AkAKDxNINqJniQQQgghhKgZ7+06hYWFCA4Oxo0bNyCRSPD+++8jKioKnTp1Yh2NqAkVCYQQQgghasZ7u86UKVPw6aefwt3dHQCQlJSE9PR07N69m3Eyoi5UJBBCCCGENBFe23VcXV1x6NChl14j2oO/lX+EEEIIIZwpLCzExIkTMWjQINja2uKzzz5DYWEh61hK09HRQV5envg6Pz8furq6DBMRdaMnCYQQQgghasZ7u87p06cRGhqKnj17QhAE3Lx5E2vWrMHQoUNZRyNqQkUCIYQQQoiaaUO7jlQqxdWrVwEAffr0Qbt27RgnIupEI1AJIYQQQtRM3q7TrVs3AHy267Rv3x5DhgxBbW0tAKCyshKGhoaMUxF1oSKBEEIIIUTNgoKC4O3t3aBdhxfHjx/HihUr8ODBAwCAIAiQSCS4ceMG42REXajdiBBCCCGkCfDcruPo6IjVq1ejb9++0NGhuTfNAT1JIIQQQghpAjy365iamqJ///6sY5AmRE8SCCGEEELUjPd2nW+++QYmJiZwcnJCy5Ytxeu8FDlEdVQkEEIIIYSoGe/tOlZWVuKfJRIJd0UOUR21GxFCCCGEqBnv7To5OTmsI5Amxl8pSwghhBDCGUdHR8THx6OsrAyVlZXiFyGaitqNCCGEEELUjNp1CG+oSCCEEEIIIYQooHYjQgghhBBCiAIqEgghhBBCCCEKqEgghBBCCCGEKKAigRBCCCGEEKKAigRCCCGEEEKIgv8Hf5ajcjWJIJ4AAAAASUVORK5CYII=\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The correlation matrix highlights several previously unseen relationships. There are some clear ones, like the strong negative correlation between release year and days_used. But we have detected moderately positive correlations between normalized_used_price and the following: screen_size, main_camera_mp, selfie_camera_mp, and battery. We will visualize these, along with the strong positive relationship between battery capacity and weight." ], "metadata": { "id": "inK8wx60l8YZ" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(16,16))\n", "plt.suptitle('Used Price versus Various Features', fontsize=16)\n", "\n", "# screen_size\n", "plt.subplot(2,2,1)\n", "sns.scatterplot(data=phone,x='screen_size',y='normalized_used_price')\n", "plt.xlabel('Screen Size (cm diagonal)')\n", "plt.ylabel('Price (€)')\n", "\n", "# main_camera_mp\n", "plt.subplot(2,2,2)\n", "sns.scatterplot(data=phone,x='main_camera_mp',y='normalized_used_price')\n", "plt.xlabel('Main Camera Resolution (MP)')\n", "plt.ylabel('Price (€)')\n", "\n", "# selfie_camera_mp\n", "plt.subplot(2,2,3)\n", "sns.scatterplot(data=phone,x='selfie_camera_mp',y='normalized_used_price')\n", "plt.xlabel('Selfie Camera Resolution (MP)')\n", "plt.ylabel('Price (€)')\n", "\n", "# battery\n", "plt.subplot(2,2,4)\n", "sns.scatterplot(data=phone,x='battery',y='normalized_used_price')\n", "plt.xlabel('Battery Capacity (mAh)')\n", "plt.ylabel('Price (€)')\n", "\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "4f2Bq12mnjAQ", "outputId": "397f6f7c-adca-41cb-f47b-c1aefcc34885" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The four scatterplots all illustrate positive correlation but have decidedly different distributions. Note too that some of the relationships have a bit of a curve to the trend, like a logarithmic relationship.\n", "\n", "Next, let's look at battery capacity, weight, and screen size of devices on Mobile Market." ], "metadata": { "id": "h_X8ygcApJ-7" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Battery and Weight',fontsize=16)\n", "sns.scatterplot(data=phone,x='battery',y='weight')\n", "plt.xlabel('Capacity (mAh)')\n", "plt.ylabel('Weight (g)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "BUiOazyUni9P", "outputId": "50e5496e-05f7-46ff-f1ef-e4585347c59a" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "plt.figure(figsize=(16,5))\n", "plt.suptitle('Screen Size versus Battery and Weight',fontsize=16)\n", "\n", "# battery\n", "plt.subplot(1,2,1)\n", "sns.scatterplot(data=phone,x='screen_size',y='battery')\n", "plt.xlabel('Screen Size (cm diagonal)')\n", "plt.ylabel('Capacity (mAh)')\n", "\n", "# weight\n", "plt.subplot(1,2,2)\n", "sns.scatterplot(data=phone,x='screen_size',y='weight')\n", "plt.xlabel('Screen Size (cm diagonal)')\n", "plt.ylabel('Weight (g)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 375 }, "id": "RQcH0QHqdBJn", "outputId": "94aaa9dd-0597-471f-bb7f-ae3f1d6ad579" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "While we can observe a positive trend in the first plot, the correlations are more apparent in the latter two (relating screen size to battery and weight).\n", "\n", "Consider next days used and new price." ], "metadata": { "id": "IcKD0CzXqIPy" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Days Used and New Price')\n", "sns.scatterplot(data=phone,x='days_used',y='normalized_new_price')\n", "plt.xlabel('Days')\n", "plt.ylabel('Price (€)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 355 }, "id": "VoB4s9h_r0vx", "outputId": "7e20f6db-db46-4ea3-dd32-b66e6b2fb919" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Days Used and New Price')\n", "sns.scatterplot(data=phone,x='days_used',y='normalized_new_price',hue='release_year')\n", "plt.xlabel('Days')\n", "plt.ylabel('Price (€)')\n", "plt.legend(title='');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 355 }, "id": "aDB6TbknDIw0", "outputId": "66027510-ad07-4b74-b062-85584dc15429" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "On the other hand, there is no apparent trend in the relationship between days_used and normalized_used_price; the scatterplot is just noise. But by adding the release year, we find that phones released less recently are generally used for longer. Not a big surprise!" ], "metadata": { "id": "oQDep5KJqbfJ" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Release Year and Days Used',fontsize=16)\n", "sns.boxplot(data=phone,x='release_year',y='days_used')\n", "plt.xlabel('Year')\n", "plt.ylabel('Days Used');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "cTmDqIo2DIuV", "outputId": "1bbed1d4-997c-4d20-8d05-50cb1e1b1d28" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Quantifying the relationship between release_year and days_used, we find that the spread of days_used data is similar for release_years up to 2016, and then the data trends negatively (fewer days used) as the phones were more recently released." ], "metadata": { "id": "Q7Z3glYRsF2P" } }, { "cell_type": "code", "source": [ "sns.jointplot(data=phone,\n", " x='normalized_new_price',\n", " y='normalized_used_price',\n", " hue='os',\n", " kind='kde');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "id": "97JZ5zLvev_d", "outputId": "575db24e-5390-4b20-93e7-b3f6d8ff1a2c" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Lastly, looking at the density of new price versus used price, we can identify specifically price brackets broken down by operating system. Devices running Android have the greatest variability in price. On the other hand, iOS is installed on higher priced devices, namely Apple products. The least expensive devices, new or used, run an operating system other than Android, Windows, or iOS." ], "metadata": { "id": "1Sj6YIo3sknu" } }, { "cell_type": "markdown", "metadata": { "id": "pVn5toJ7MKte" }, "source": [ "## Data Preprocessing" ] }, { "cell_type": "markdown", "source": [ "### Missing Value Treatment" ], "metadata": { "id": "umE4lDpCQjHj" } }, { "cell_type": "code", "source": [ "phone.isnull().sum()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "KtA-lUmybvik", "outputId": "148a5eb8-f7a2-4213-c130-ad859b012c7c" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "brand_name 0\n", "os 0\n", "screen_size 0\n", "4g 0\n", "5g 0\n", "main_camera_mp 179\n", "selfie_camera_mp 2\n", "int_memory 4\n", "ram 4\n", "battery 6\n", "weight 7\n", "release_year 0\n", "days_used 0\n", "normalized_used_price 0\n", "normalized_new_price 0\n", "dtype: int64" ] }, "metadata": {}, "execution_count": 51 } ] }, { "cell_type": "markdown", "source": [ "The feature with the most missing data is main_camera_mp. We will impute the null values with the median camera resolution for the brand of that row in the dataframe." ], "metadata": { "id": "oXj3ZpxX-OiN" } }, { "cell_type": "code", "source": [ "# collect medians for main_camera_mp by brand\n", "camera_medians={}\n", "for brand in phone['brand_name'].unique():\n", " med=phone.loc[phone['brand_name']==brand]['main_camera_mp'].median()\n", " if np.isnan(med)==False:\n", " camera_medians[brand]=phone.loc[phone['brand_name']==brand]['main_camera_mp'].median()\n", " else:\n", " camera_medians[brand]=0\n", "\n", "# impute main_camera_mp with brand median\n", "idx=0\n", "for val in phone['main_camera_mp']:\n", " if np.isnan(val)==True:\n", " brand=phone.iloc[idx]['brand_name']\n", " phone.loc[idx,'main_camera_mp']=camera_medians[brand]\n", " idx+=1" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "5bQvUCJHrMO-", "outputId": "66b9146d-4532-4e24-e2aa-3db7b541b733" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.7/dist-packages/numpy/lib/nanfunctions.py:1117: RuntimeWarning: Mean of empty slice\n", " return np.nanmean(a, axis, out=out, keepdims=keepdims)\n" ] } ] }, { "cell_type": "code", "source": [ "phone.isnull().sum()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "S0hlfoXNw54s", "outputId": "a43ac8b7-d518-446a-b06f-7862981fe404" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "brand_name 0\n", "os 0\n", "screen_size 0\n", "4g 0\n", "5g 0\n", "main_camera_mp 0\n", "selfie_camera_mp 2\n", "int_memory 4\n", "ram 4\n", "battery 6\n", "weight 7\n", "release_year 0\n", "days_used 0\n", "normalized_used_price 0\n", "normalized_new_price 0\n", "dtype: int64" ] }, "metadata": {}, "execution_count": 53 } ] }, { "cell_type": "markdown", "source": [ "We will drop rows with the last few null entries, as we will not be losing much data." ], "metadata": { "id": "QmuzrAI49AKa" } }, { "cell_type": "code", "source": [ "# drop rows with remain few null entries\n", "phone.dropna(axis=0,inplace=True)" ], "metadata": { "id": "vFjswrg67o40" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "phone.isnull().sum()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ehwUTNsp8wA1", "outputId": "6973bcb2-dbcc-4ead-bcf9-7016210ff9ed" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "brand_name 0\n", "os 0\n", "screen_size 0\n", "4g 0\n", "5g 0\n", "main_camera_mp 0\n", "selfie_camera_mp 0\n", "int_memory 0\n", "ram 0\n", "battery 0\n", "weight 0\n", "release_year 0\n", "days_used 0\n", "normalized_used_price 0\n", "normalized_new_price 0\n", "dtype: int64" ] }, "metadata": {}, "execution_count": 55 } ] }, { "cell_type": "markdown", "source": [ "### Additional Drops" ], "metadata": { "id": "HyWIv6J_QoWX" } }, { "cell_type": "markdown", "source": [ "We can confirm that there are no more null entries. Next, we will also drop any row where both the brand name and the OS have value 'Other', since this combination is too vague to contribute positively to our model." ], "metadata": { "id": "UiqPauLq87CJ" } }, { "cell_type": "code", "source": [ "print('Number of rows before dropping \"Other/Other\":',\n", " phone.shape[0])\n", "print('Number of \"Other/Other\" rows:',\n", " phone[(phone['brand_name']=='Others')&(phone['os']=='Others')].shape[0])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "fYPw2jaHHC6z", "outputId": "678c93ea-2e30-428d-c35d-9740f9e3638a" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Number of rows before dropping \"Other/Other\": 3432\n", "Number of \"Other/Other\" rows: 28\n" ] } ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "zUi6E9EUMKth" }, "outputs": [], "source": [ "# drop rows with brand_name=Others AND os=Others\n", "for val in phone[(phone['brand_name']=='Others')&(phone['os']=='Others')].index:\n", " phone.drop(val,axis=0,inplace=True)" ] }, { "cell_type": "code", "source": [ "print('Number of rows after dropping \"Other/Other\":',phone.shape[0])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "FslzqFBuHpOE", "outputId": "bdf00671-0188-44df-a7e2-0ab2eb3dbd31" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Number of rows after dropping \"Other/Other\": 3404\n" ] } ] }, { "cell_type": "markdown", "source": [ "We have dropped all 28 Other/Other rows." ], "metadata": { "id": "LYETXXFFH23x" } }, { "cell_type": "code", "source": [ "phone.reset_index(inplace=True,drop=True)" ], "metadata": { "id": "EMPSNuzwPIbE" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "### Data Typing, Feature Engineering, and Outlier Treatment" ], "metadata": { "id": "gXr7SIoMQsf9" } }, { "cell_type": "markdown", "source": [ "After five experiments building the linear regression, I have found that the precise release year is not as important as whether the device is older or newer. I can confirm that this change will significantly reduce multicollinearity with negligible effect on the final R-squared. I used the boxplot from the EDA, recalled below, to define the threshold for an old phone." ], "metadata": { "id": "IcZv90jYLjSW" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Release Year and Days Used',fontsize=16)\n", "sns.boxplot(data=phone,x='release_year',y='days_used')\n", "plt.xlabel('Year')\n", "plt.ylabel('Days Used');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "DvWV-RH2HuQ5", "outputId": "2d74c561-8ff8-4212-ba8c-440d29cfb347" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "# classify rows\n", "old_phones=[2013,2014,2015,2016]\n", "age=[]\n", "for val in phone['release_year']:\n", " if val in old_phones:\n", " age.append('old')\n", " else:\n", " age.append('new')\n", "\n", "# generate feature\n", "phone['age']=pd.Categorical(age)" ], "metadata": { "id": "8-APKFoWQeZo" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "phone=phone.drop(['release_year'],axis=1)" ], "metadata": { "id": "iYhvxpvpSALA" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Since over 80% of devices on Mobile Market have 4GB of RAM, we will create a new categorical column. It will have a 1 if the device has 4GB of RAM and a 0 otherwise. This is one way of treating outliers in RAM." ], "metadata": { "id": "XhtR-ioMPVCQ" } }, { "cell_type": "code", "source": [ "# classify rows\n", "ram4=[]\n", "for val in phone['ram']:\n", " if val==4.0:\n", " ram4.append(1)\n", " else:\n", " ram4.append(0)\n", "\n", "# generate feature\n", "phone['ram4']=pd.Categorical(ram4)" ], "metadata": { "id": "8nTQcWa2NfjB" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "We will also add a column for the ratio of battery capacity to weight. We can confidently design this feature because battery and weight are strongly correlated. This will have the effect of retaining data about battery and weight while reducing dimension." ], "metadata": { "id": "D8aHzM9rRAgJ" } }, { "cell_type": "code", "source": [ "phone['battery_by_weight']=phone['battery']/phone['weight']" ], "metadata": { "id": "3L9nfSMrN4a9" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "I feel we have adequately adressed outliers. Those visible on the boxplots for weight or price are necessary aspects of the selection process. Our model would be incabaple of predicting price for the breadth of devices on Mobile Market without these data points." ], "metadata": { "id": "dVipeG9HUvco" } }, { "cell_type": "markdown", "metadata": { "id": "KNzFis7eEaXj" }, "source": [ "## Second EDA" ] }, { "cell_type": "code", "source": [ "hist_box(phone,'screen_size')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "ZGRXagGiaig6", "outputId": "02efd7c5-343c-4ea5-a0e9-cf1dd9c2fc4a" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Screen size remains highly variable after our data transformations." ], "metadata": { "id": "r_CWCrJQtmpD" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(10,5))\n", "\n", "# 4g\n", "plt.subplot(1,2,1)\n", "plt.title('4G Capable?')\n", "sns.countplot(data=phone,x='4g',order=('yes','no'))\n", "\n", "# 5g\n", "plt.subplot(1,2,2)\n", "plt.title('5G Capable?')\n", "sns.countplot(data=phone,x='5g',order=('yes','no'))\n", "\n", "plt.tight_layout()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "mA2eXZftaid9", "outputId": "0c458625-f47d-4a66-c65f-c3a07c80517f" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The ratios of 4g capable phones and 5g capable phone are essentially unchanged from before." ], "metadata": { "id": "WABX2Nostsy2" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Device Camera Resolutions',fontsize=16)\n", "\n", "# main camera\n", "sns.histplot(phone,x='main_camera_mp',\n", " bins=12,\n", " color='darkslateblue',\n", " label='main')\n", "\n", "#selfie camera\n", "sns.histplot(phone,x='selfie_camera_mp',\n", " bins=12,\n", " color='orange',\n", " label='selfie')\n", "\n", "plt.xlabel('Resolution (MP)')\n", "plt.legend();" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "g99L6FDzaibE", "outputId": "387adb37-a102-44aa-e02e-5b157095b04b" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The selfie camera generally has a lower resolution than the main camera. This makes sense, as there is more room in the device frame for a main camera sensor than a selfie camera, since the latter is crowded by the display panel." ], "metadata": { "id": "IIWETkNEuHuY" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Internal Memory',fontsize=16)\n", "sns.histplot(phone,x='int_memory',bins=12)\n", "plt.xlabel('Memory Capacity (GB)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "uFZgmAKYaiBM", "outputId": "549fe3cb-ca6a-42c2-9f4f-9f86bbf1a3f1" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Since memory comes in powers of 2, and less memory is generally cheaper, it tracks that most of the devices have less memory, but that the outliers are far greater than the bulk of the data. The capacity is literally increasing exponentially!" ], "metadata": { "id": "oUe-Tu1Zuupa" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Internal Memory (No Outliers)',fontsize=16)\n", "sns.boxplot(data=phone,x='int_memory',showfliers=False)\n", "plt.xlabel('Memory Capacity (GB)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "0FT-LSqGu5cZ", "outputId": "246284ad-f181-4220-a046-331c9234ef39" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "To understand the spread of the majority of our data, consider the boxplot above. Outliers are hidden in this plot, and we see that the middle 50% of the data is between 16GB and 64GB, with a median of 32GB (all powers of 2)." ], "metadata": { "id": "tDZZ_YGLwGHx" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Screen Size and RAM',fontsize=16)\n", "sns.regplot(data=phone,x='screen_size',y='ram')\n", "plt.xlabel('Screen Size (cm diagonal)')\n", "plt.ylabel('RAM (GB)');" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "QL4vB7jcufmn", "outputId": "f8b24966-0a71-443c-83a6-011bb3e3613b" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Generally a larger screen, in particular more pixels, requires more RAM for the device to operate smoothly. The trend is visible here, albeit only mildly. " ], "metadata": { "id": "rod_Q0ArxcSt" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(16,5))\n", "plt.suptitle('Radio Capabilities and Device Age',fontsize=16)\n", "\n", "plt.subplot(1,2,1)\n", "sns.countplot(data=phone,x='age',hue='4g',hue_order=('yes','no'))\n", "\n", "plt.subplot(1,2,2)\n", "sns.countplot(data=phone,x='age',hue='5g',hue_order=('yes','no'));" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 375 }, "id": "kAUmFy45haYT", "outputId": "c2b716f5-8453-4681-ec14-f1e9b0bbaea0" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Here we see that new devices are far more likely to have 4G radios, with almost no new devices lacking. Conversely, about half of old devices lack 4G connectivity.\n", "\n", "There are no old devices available on Mobile Market with 5G connectivity, and most of the new devices don't have it either." ], "metadata": { "id": "8ybpBxep3UsO" } }, { "cell_type": "markdown", "metadata": { "id": "HeUzI1OB4rqM" }, "source": [ "## Model Building - Linear Regression" ] }, { "cell_type": "markdown", "source": [ "Now we can start preparing our data for modeling. In particular, let's use one hot encoding for our categorical variables." ], "metadata": { "id": "_uduPY5UBx3B" } }, { "cell_type": "code", "source": [ "phone_dummies=pd.get_dummies(data=phone,drop_first=True)" ], "metadata": { "id": "NZ9VcDGFUgW_" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "ZNRiMg0wMKth", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "11bb5bd6-4daf-4aa7-e010-3dc4c36a185f" }, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/tsatools.py:142: FutureWarning: In a future version of pandas all arguments of concat except for the argument 'objs' will be keyword-only\n", " x = pd.concat(x[::order], 1)\n" ] } ], "source": [ "# dataframe of independent variables plus constant\n", "X=phone_dummies.drop(['normalized_used_price'],axis=1)\n", "X=sm.add_constant(X)\n", "\n", "# response variable series\n", "y=phone_dummies['normalized_used_price']" ] }, { "cell_type": "code", "source": [ "# split data\n", "X_train, X_test, y_train, y_test=train_test_split(X,y,test_size=0.3,random_state=1)" ], "metadata": { "id": "RjkXS3qHDc6E" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# train first model\n", "model=sm.OLS(y_train,X_train)\n", "results=model.fit()" ], "metadata": { "id": "BN-x_9OFDm4Q" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "jvoU3F6oMKti" }, "source": [ "## Model Performance Check" ] }, { "cell_type": "markdown", "source": [ "We start by defining functions that will help us assess model performance. The first function generates a table of VIF stats and tests R-squared values for different dropped columns. The second incorporates the first into a data-rich model tuning interface. We will use the standard VIF cutoff of 5, but the function allows different thresholds." ], "metadata": { "id": "VTFqzUv5IPT2" } }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "k3e6gzxdMKti" }, "outputs": [], "source": [ "# import variance inflation factor function\n", "from statsmodels.stats.outliers_influence import variance_inflation_factor\n", "\n", "def high_vif_stats(y_data,X_data,vif_cutoff=5):\n", " '''Summarize VIF and test R-squared\n", " for VIF > cutoff.'''\n", "\n", " # generate vif table\n", " vif=pd.Series([variance_inflation_factor(X_data.values,i) for i in range(X_data.shape[1])],\n", " index=X_data.columns).sort_values(ascending=False)\n", " print('Variance Inflation Factors')\n", " print(vif)\n", "\n", " # collect high vif columns (omit constant col)\n", " high_vif_col=[]\n", " for idx, val in vif.drop(['const'],axis=0).items():\n", " if val>vif_cutoff:\n", " high_vif_col.append(idx)\n", " if len(high_vif_col)==0:\n", " print('\\nThere are no features with VIF greater than',vif_cutoff)\n", " return\n", "\n", " # create dataframe with original R-squared\n", " results=sm.OLS(y_data,X_data).fit()\n", " rsq_comp=pd.DataFrame({'R-squared':np.round(results.rsquared,3),\n", " 'Adj. R-squared':np.round(results.rsquared_adj,3)},\n", " index=['Before'])\n", "\n", " # tabulate R-square and adj. R-squared without high vif cols\n", " for col in high_vif_col:\n", " res=sm.OLS(y_data,X_data.drop([col],axis=1)).fit()\n", " df=pd.DataFrame({'R-squared':np.round(res.rsquared,3),\n", " 'Adj. R-squared':np.round(res.rsquared_adj,3)},\n", " index=['Without '+col])\n", " rsq_comp=pd.concat([rsq_comp,df],axis=0)\n", "\n", " # print table of R-squared values\n", " title='R-squared for data with dropped high-VIF columns'\n", " print('='*len(title))\n", " print(title)\n", " print(rsq_comp)\n", "\n", " return\n", "\n", "def model_tuning(y_data,X_data,*,threshold=5,hide_vif=False):\n", " '''Presents summary of OLS model\n", " and multicollinearity check given\n", " VIF threshold (default=5).'''\n", "\n", " # generate model\n", " model=sm.OLS(y_data,X_data).fit()\n", " \n", " # print model statistics and high VIF table\n", " print(model.summary())\n", " if hide_vif==False:\n", " print('\\n\\n')\n", " high_vif_stats(y_data,X_data,vif_cutoff=threshold)\n", " return model\n", "\n", "# print series without truncating\n", "pd.set_option('display.max_rows',None)" ] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "N4GVn3TVFGIC", "outputId": "582127c6-56e2-4c7c-ed64-8adc69040d47" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.842\n", "Model: OLS Adj. R-squared: 0.838\n", "Method: Least Squares F-statistic: 247.8\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:01 Log-Likelihood: 131.16\n", "No. Observations: 2382 AIC: -160.3\n", "Df Residuals: 2331 BIC: 134.2\n", "Df Model: 50 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.3025 0.079 16.399 0.000 1.147 1.458\n", "screen_size 0.0235 0.003 6.764 0.000 0.017 0.030\n", "main_camera_mp 0.0214 0.001 14.830 0.000 0.019 0.024\n", "selfie_camera_mp 0.0146 0.001 12.402 0.000 0.012 0.017\n", "int_memory 0.0002 6.09e-05 2.571 0.010 3.71e-05 0.000\n", "ram 0.0144 0.005 2.738 0.006 0.004 0.025\n", "battery -2.531e-05 1.29e-05 -1.967 0.049 -5.06e-05 -7.64e-08\n", "weight 0.0012 0.000 5.808 0.000 0.001 0.002\n", "days_used -4.071e-05 2.98e-05 -1.365 0.172 -9.92e-05 1.78e-05\n", "normalized_new_price 0.4132 0.012 34.505 0.000 0.390 0.437\n", "battery_by_weight 0.0044 0.003 1.572 0.116 -0.001 0.010\n", "brand_name_Alcatel -0.0150 0.046 -0.323 0.747 -0.106 0.076\n", "brand_name_Apple 0.0483 0.148 0.326 0.745 -0.242 0.339\n", "brand_name_Asus 0.0144 0.047 0.309 0.758 -0.077 0.106\n", "brand_name_BlackBerry 0.0652 0.072 0.911 0.363 -0.075 0.206\n", "brand_name_Celkon -0.2933 0.069 -4.252 0.000 -0.429 -0.158\n", "brand_name_Coolpad 0.0045 0.072 0.062 0.951 -0.137 0.146\n", "brand_name_Gionee -0.0109 0.056 -0.194 0.846 -0.121 0.099\n", "brand_name_Google 0.0453 0.092 0.493 0.622 -0.135 0.226\n", "brand_name_HTC -0.0079 0.048 -0.166 0.868 -0.101 0.086\n", "brand_name_Honor 0.0124 0.048 0.258 0.797 -0.082 0.107\n", "brand_name_Huawei -0.0272 0.043 -0.628 0.530 -0.112 0.058\n", "brand_name_Infinix 0.3247 0.090 3.617 0.000 0.149 0.501\n", "brand_name_Karbonn 0.0134 0.066 0.203 0.839 -0.116 0.143\n", "brand_name_LG -0.0457 0.044 -1.035 0.301 -0.132 0.041\n", "brand_name_Lava -0.0053 0.060 -0.089 0.929 -0.122 0.112\n", "brand_name_Lenovo 0.0124 0.044 0.279 0.780 -0.075 0.100\n", "brand_name_Meizu -0.0309 0.055 -0.566 0.572 -0.138 0.076\n", "brand_name_Micromax -0.0294 0.047 -0.631 0.528 -0.121 0.062\n", "brand_name_Microsoft 0.0589 0.086 0.684 0.494 -0.110 0.228\n", "brand_name_Motorola -0.0813 0.048 -1.680 0.093 -0.176 0.014\n", "brand_name_Nokia 0.0603 0.050 1.195 0.232 -0.039 0.159\n", "brand_name_OnePlus 0.0134 0.067 0.202 0.840 -0.117 0.144\n", "brand_name_Oppo 0.0029 0.047 0.062 0.951 -0.089 0.095\n", "brand_name_Others -0.0174 0.041 -0.426 0.670 -0.098 0.063\n", "brand_name_Panasonic -0.0103 0.055 -0.187 0.852 -0.118 0.098\n", "brand_name_Realme -0.0009 0.060 -0.015 0.988 -0.119 0.117\n", "brand_name_Samsung -0.0381 0.042 -0.903 0.367 -0.121 0.045\n", "brand_name_Sony -0.0764 0.050 -1.529 0.126 -0.174 0.022\n", "brand_name_Spice -0.0445 0.061 -0.729 0.466 -0.164 0.075\n", "brand_name_Vivo -0.0334 0.048 -0.694 0.488 -0.128 0.061\n", "brand_name_XOLO -0.0700 0.061 -1.155 0.248 -0.189 0.049\n", "brand_name_Xiaomi 0.0645 0.047 1.367 0.172 -0.028 0.157\n", "brand_name_ZTE -0.0257 0.046 -0.565 0.572 -0.115 0.064\n", "os_Others -0.0492 0.037 -1.312 0.190 -0.123 0.024\n", "os_Windows -0.0310 0.044 -0.696 0.487 -0.118 0.056\n", "os_iOS -0.0876 0.147 -0.595 0.552 -0.376 0.201\n", "4g_yes 0.0681 0.015 4.500 0.000 0.038 0.098\n", "5g_yes 0.0222 0.034 0.658 0.511 -0.044 0.088\n", "age_old -0.0468 0.017 -2.832 0.005 -0.079 -0.014\n", "ram4_1 0.0276 0.017 1.611 0.107 -0.006 0.061\n", "==============================================================================\n", "Omnibus: 188.856 Durbin-Watson: 1.943\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 369.169\n", "Skew: -0.534 Prob(JB): 6.85e-81\n", "Kurtosis: 4.605 Cond. No. 1.73e+05\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 1.73e+05. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "\n", "\n", "\n", "Variance Inflation Factors\n", "const 280.388122\n", "weight 14.647755\n", "brand_name_Apple 14.121957\n", "os_iOS 12.770393\n", "battery 11.965925\n", "brand_name_Others 8.850750\n", "screen_size 7.589599\n", "battery_by_weight 7.447852\n", "brand_name_Samsung 6.910259\n", "brand_name_Huawei 5.764543\n", "brand_name_LG 4.726981\n", "brand_name_Lenovo 4.173822\n", "brand_name_ZTE 3.957683\n", "brand_name_Oppo 3.672643\n", "brand_name_Xiaomi 3.595153\n", "brand_name_Alcatel 3.360767\n", "brand_name_Vivo 3.343906\n", "brand_name_Micromax 3.322402\n", "brand_name_Asus 3.277016\n", "brand_name_Nokia 3.225654\n", "brand_name_Motorola 3.173537\n", "brand_name_Honor 3.159061\n", "brand_name_HTC 3.116526\n", "selfie_camera_mp 2.886479\n", "age_old 2.875527\n", "normalized_new_price 2.855934\n", "brand_name_Sony 2.723139\n", "days_used 2.453434\n", "ram 2.303676\n", "main_camera_mp 2.201178\n", "4g_yes 2.185732\n", "brand_name_Meizu 2.137792\n", "5g_yes 2.079510\n", "brand_name_Panasonic 2.012944\n", "brand_name_Gionee 1.971333\n", "brand_name_Realme 1.937008\n", "os_Others 1.904531\n", "ram4_1 1.899102\n", "brand_name_Microsoft 1.788582\n", "brand_name_Lava 1.776196\n", "brand_name_Celkon 1.760827\n", "brand_name_Spice 1.719549\n", "brand_name_XOLO 1.697516\n", "brand_name_OnePlus 1.637108\n", "brand_name_BlackBerry 1.615950\n", "os_Windows 1.594822\n", "brand_name_Karbonn 1.542344\n", "brand_name_Coolpad 1.440145\n", "brand_name_Infinix 1.347722\n", "int_memory 1.321038\n", "brand_name_Google 1.257138\n", "dtype: float64\n", "================================================\n", "R-squared for data with dropped high-VIF columns\n", " R-squared Adj. R-squared\n", "Before 0.842 0.838\n", "Without weight 0.839 0.836\n", "Without brand_name_Apple 0.842 0.838\n", "Without os_iOS 0.842 0.838\n", "Without battery 0.841 0.838\n", "Without brand_name_Others 0.842 0.838\n", "Without screen_size 0.839 0.835\n", "Without battery_by_weight 0.842 0.838\n", "Without brand_name_Samsung 0.842 0.838\n", "Without brand_name_Huawei 0.842 0.838\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 77 } ] }, { "cell_type": "markdown", "source": [ "We have seen that weight is highly positively correlated with screen size and battery capacity. Since it's VIF is the highest, we will drop it." ], "metadata": { "id": "8dlq5cpVMEo1" } }, { "cell_type": "code", "source": [ "# drop weight column\n", "X_train=X_train.drop(['weight'],axis=1)\n", "\n", "# keep track of dropped features\n", "dropped_cols=['weight']" ], "metadata": { "id": "EhE7Nz62I8kb" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "hzcoCh55I8fa", "outputId": "a0c0eecd-b70f-479d-8bec-090219f48527" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.839\n", "Model: OLS Adj. R-squared: 0.836\n", "Method: Least Squares F-statistic: 248.7\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:02 Log-Likelihood: 114.04\n", "No. Observations: 2382 AIC: -128.1\n", "Df Residuals: 2332 BIC: 160.7\n", "Df Model: 49 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.4061 0.078 18.041 0.000 1.253 1.559\n", "screen_size 0.0352 0.003 12.329 0.000 0.030 0.041\n", "main_camera_mp 0.0210 0.001 14.470 0.000 0.018 0.024\n", "selfie_camera_mp 0.0143 0.001 12.103 0.000 0.012 0.017\n", "int_memory 0.0001 6.12e-05 2.316 0.021 2.17e-05 0.000\n", "ram 0.0129 0.005 2.436 0.015 0.003 0.023\n", "battery 2.934e-05 8.84e-06 3.319 0.001 1.2e-05 4.67e-05\n", "days_used -2.261e-05 2.99e-05 -0.757 0.449 -8.12e-05 3.6e-05\n", "normalized_new_price 0.4142 0.012 34.352 0.000 0.391 0.438\n", "battery_by_weight -0.0078 0.002 -4.292 0.000 -0.011 -0.004\n", "brand_name_Alcatel -0.0260 0.047 -0.557 0.577 -0.117 0.065\n", "brand_name_Apple -0.0411 0.148 -0.277 0.782 -0.332 0.250\n", "brand_name_Asus 0.0115 0.047 0.245 0.807 -0.080 0.103\n", "brand_name_BlackBerry 0.0550 0.072 0.762 0.446 -0.086 0.196\n", "brand_name_Celkon -0.3110 0.069 -4.482 0.000 -0.447 -0.175\n", "brand_name_Coolpad -0.0086 0.072 -0.119 0.905 -0.151 0.133\n", "brand_name_Gionee -0.0139 0.057 -0.245 0.806 -0.125 0.097\n", "brand_name_Google 0.0362 0.093 0.391 0.696 -0.145 0.218\n", "brand_name_HTC -0.0228 0.048 -0.476 0.634 -0.117 0.071\n", "brand_name_Honor -0.0031 0.049 -0.064 0.949 -0.098 0.092\n", "brand_name_Huawei -0.0440 0.044 -1.012 0.312 -0.129 0.041\n", "brand_name_Infinix 0.3066 0.090 3.394 0.001 0.129 0.484\n", "brand_name_Karbonn 0.0020 0.067 0.030 0.976 -0.129 0.133\n", "brand_name_LG -0.0535 0.044 -1.204 0.229 -0.141 0.034\n", "brand_name_Lava -0.0198 0.060 -0.329 0.742 -0.138 0.098\n", "brand_name_Lenovo 0.0013 0.045 0.029 0.977 -0.086 0.089\n", "brand_name_Meizu -0.0375 0.055 -0.681 0.496 -0.145 0.070\n", "brand_name_Micromax -0.0365 0.047 -0.778 0.437 -0.129 0.056\n", "brand_name_Microsoft 0.0353 0.087 0.407 0.684 -0.135 0.205\n", "brand_name_Motorola -0.0892 0.049 -1.830 0.067 -0.185 0.006\n", "brand_name_Nokia 0.0494 0.051 0.972 0.331 -0.050 0.149\n", "brand_name_OnePlus -0.0042 0.067 -0.062 0.950 -0.135 0.127\n", "brand_name_Oppo -0.0070 0.047 -0.147 0.883 -0.100 0.086\n", "brand_name_Others -0.0204 0.041 -0.495 0.620 -0.101 0.060\n", "brand_name_Panasonic -0.0245 0.055 -0.442 0.659 -0.133 0.084\n", "brand_name_Realme -0.0139 0.061 -0.230 0.818 -0.133 0.105\n", "brand_name_Samsung -0.0507 0.042 -1.193 0.233 -0.134 0.033\n", "brand_name_Sony -0.0880 0.050 -1.751 0.080 -0.187 0.011\n", "brand_name_Spice -0.0466 0.061 -0.758 0.449 -0.167 0.074\n", "brand_name_Vivo -0.0468 0.048 -0.966 0.334 -0.142 0.048\n", "brand_name_XOLO -0.0798 0.061 -1.307 0.192 -0.199 0.040\n", "brand_name_Xiaomi 0.0524 0.047 1.104 0.270 -0.041 0.145\n", "brand_name_ZTE -0.0376 0.046 -0.821 0.412 -0.128 0.052\n", "os_Others -0.0119 0.037 -0.321 0.748 -0.085 0.061\n", "os_Windows -0.0262 0.045 -0.584 0.559 -0.114 0.062\n", "os_iOS -0.0141 0.148 -0.095 0.924 -0.304 0.276\n", "4g_yes 0.0687 0.015 4.505 0.000 0.039 0.099\n", "5g_yes 0.0184 0.034 0.541 0.589 -0.048 0.085\n", "age_old -0.0430 0.017 -2.587 0.010 -0.076 -0.010\n", "ram4_1 0.0270 0.017 1.563 0.118 -0.007 0.061\n", "==============================================================================\n", "Omnibus: 186.892 Durbin-Watson: 1.942\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 359.880\n", "Skew: -0.534 Prob(JB): 7.13e-79\n", "Kurtosis: 4.576 Cond. No. 1.72e+05\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 1.72e+05. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "\n", "\n", "\n", "Variance Inflation Factors\n", "const 266.254541\n", "brand_name_Apple 13.969785\n", "os_iOS 12.675829\n", "brand_name_Others 8.849361\n", "brand_name_Samsung 6.892157\n", "brand_name_Huawei 5.738640\n", "battery 5.569033\n", "screen_size 5.048455\n", "brand_name_LG 4.722569\n", "brand_name_Lenovo 4.166099\n", "brand_name_ZTE 3.949684\n", "brand_name_Oppo 3.667826\n", "brand_name_Xiaomi 3.588137\n", "brand_name_Alcatel 3.355143\n", "brand_name_Vivo 3.336237\n", "brand_name_Micromax 3.320114\n", "brand_name_Asus 3.276640\n", "brand_name_Nokia 3.221178\n", "battery_by_weight 3.180797\n", "brand_name_Motorola 3.171056\n", "brand_name_Honor 3.149329\n", "brand_name_HTC 3.107480\n", "selfie_camera_mp 2.882209\n", "age_old 2.871069\n", "normalized_new_price 2.855337\n", "brand_name_Sony 2.718741\n", "days_used 2.426666\n", "ram 2.298031\n", "main_camera_mp 2.196235\n", "4g_yes 2.185643\n", "brand_name_Meizu 2.136881\n", "5g_yes 2.078721\n", "brand_name_Panasonic 2.008991\n", "brand_name_Gionee 1.971167\n", "brand_name_Realme 1.934318\n", "ram4_1 1.899025\n", "os_Others 1.848840\n", "brand_name_Microsoft 1.784595\n", "brand_name_Lava 1.773107\n", "brand_name_Celkon 1.757360\n", "brand_name_Spice 1.719489\n", "brand_name_XOLO 1.696226\n", "brand_name_OnePlus 1.633716\n", "brand_name_BlackBerry 1.614968\n", "os_Windows 1.594271\n", "brand_name_Karbonn 1.540983\n", "brand_name_Coolpad 1.438734\n", "brand_name_Infinix 1.346102\n", "int_memory 1.318765\n", "brand_name_Google 1.256768\n", "dtype: float64\n", "================================================\n", "R-squared for data with dropped high-VIF columns\n", " R-squared Adj. R-squared\n", "Before 0.839 0.836\n", "Without brand_name_Apple 0.839 0.836\n", "Without os_iOS 0.839 0.836\n", "Without brand_name_Others 0.839 0.836\n", "Without brand_name_Samsung 0.839 0.836\n", "Without brand_name_Huawei 0.839 0.836\n", "Without battery 0.839 0.835\n", "Without screen_size 0.829 0.825\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 79 } ] }, { "cell_type": "markdown", "source": [ "There's an interesting argument to be made that we can drop either brand_name_Apple or os_iOS. While both belong to categorical variables, these two features must be highly correlated: The only brand running iOS is Apple and the only OS on Apple devices is iOS. In other words, there is indeed redundancy in including both features. While brand_name_Apple has higher VIF, os_iOS has an incredibly high p-value. In addition, after building out the subsequent regression several times, I have determined that losing OS data will not be detrimental to our model (as the p-value will remain high regardless)." ], "metadata": { "id": "E_XTrLMgBpDh" } }, { "cell_type": "code", "source": [ "# drop\n", "X_train=X_train.drop(['os_iOS'],axis=1)\n", "\n", "# add col to dropped_cols list\n", "dropped_cols.append('os_iOS')" ], "metadata": { "id": "9YzWrvCWA9xc" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "rWSmvlP8C5mj", "outputId": "e1eda925-5369-4ec3-f8aa-e84c14b94973" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.839\n", "Model: OLS Adj. R-squared: 0.836\n", "Method: Least Squares F-statistic: 254.0\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:03 Log-Likelihood: 114.04\n", "No. Observations: 2382 AIC: -130.1\n", "Df Residuals: 2333 BIC: 152.9\n", "Df Model: 48 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.4056 0.078 18.078 0.000 1.253 1.558\n", "screen_size 0.0353 0.003 12.384 0.000 0.030 0.041\n", "main_camera_mp 0.0210 0.001 14.494 0.000 0.018 0.024\n", "selfie_camera_mp 0.0143 0.001 12.117 0.000 0.012 0.017\n", "int_memory 0.0001 6.12e-05 2.315 0.021 2.17e-05 0.000\n", "ram 0.0129 0.005 2.455 0.014 0.003 0.023\n", "battery 2.934e-05 8.84e-06 3.319 0.001 1.2e-05 4.67e-05\n", "days_used -2.267e-05 2.99e-05 -0.759 0.448 -8.12e-05 3.59e-05\n", "normalized_new_price 0.4142 0.012 34.360 0.000 0.391 0.438\n", "battery_by_weight -0.0078 0.002 -4.292 0.000 -0.011 -0.004\n", "brand_name_Alcatel -0.0260 0.047 -0.558 0.577 -0.117 0.065\n", "brand_name_Apple -0.0540 0.058 -0.933 0.351 -0.168 0.060\n", "brand_name_Asus 0.0115 0.047 0.245 0.806 -0.080 0.103\n", "brand_name_BlackBerry 0.0546 0.072 0.758 0.448 -0.087 0.196\n", "brand_name_Celkon -0.3112 0.069 -4.487 0.000 -0.447 -0.175\n", "brand_name_Coolpad -0.0085 0.072 -0.118 0.906 -0.151 0.133\n", "brand_name_Gionee -0.0138 0.057 -0.244 0.807 -0.125 0.097\n", "brand_name_Google 0.0361 0.093 0.390 0.696 -0.145 0.218\n", "brand_name_HTC -0.0227 0.048 -0.475 0.635 -0.117 0.071\n", "brand_name_Honor -0.0031 0.049 -0.064 0.949 -0.098 0.092\n", "brand_name_Huawei -0.0440 0.044 -1.012 0.311 -0.129 0.041\n", "brand_name_Infinix 0.3066 0.090 3.396 0.001 0.130 0.484\n", "brand_name_Karbonn 0.0021 0.067 0.032 0.974 -0.129 0.133\n", "brand_name_LG -0.0535 0.044 -1.203 0.229 -0.141 0.034\n", "brand_name_Lava -0.0196 0.060 -0.327 0.744 -0.137 0.098\n", "brand_name_Lenovo 0.0013 0.045 0.030 0.976 -0.086 0.089\n", "brand_name_Meizu -0.0374 0.055 -0.680 0.496 -0.145 0.070\n", "brand_name_Micromax -0.0364 0.047 -0.777 0.437 -0.128 0.056\n", "brand_name_Microsoft 0.0352 0.087 0.407 0.684 -0.135 0.205\n", "brand_name_Motorola -0.0891 0.049 -1.830 0.067 -0.185 0.006\n", "brand_name_Nokia 0.0492 0.051 0.970 0.332 -0.050 0.149\n", "brand_name_OnePlus -0.0042 0.067 -0.063 0.950 -0.135 0.127\n", "brand_name_Oppo -0.0069 0.047 -0.146 0.884 -0.099 0.086\n", "brand_name_Others -0.0204 0.041 -0.494 0.621 -0.101 0.060\n", "brand_name_Panasonic -0.0244 0.055 -0.441 0.659 -0.133 0.084\n", "brand_name_Realme -0.0140 0.061 -0.230 0.818 -0.133 0.105\n", "brand_name_Samsung -0.0507 0.042 -1.193 0.233 -0.134 0.033\n", "brand_name_Sony -0.0880 0.050 -1.751 0.080 -0.187 0.011\n", "brand_name_Spice -0.0464 0.061 -0.756 0.450 -0.167 0.074\n", "brand_name_Vivo -0.0468 0.048 -0.966 0.334 -0.142 0.048\n", "brand_name_XOLO -0.0797 0.061 -1.306 0.192 -0.199 0.040\n", "brand_name_Xiaomi 0.0524 0.047 1.104 0.270 -0.041 0.145\n", "brand_name_ZTE -0.0376 0.046 -0.820 0.412 -0.127 0.052\n", "os_Others -0.0110 0.036 -0.307 0.759 -0.081 0.059\n", "os_Windows -0.0260 0.045 -0.581 0.561 -0.114 0.062\n", "4g_yes 0.0687 0.015 4.506 0.000 0.039 0.099\n", "5g_yes 0.0182 0.034 0.536 0.592 -0.048 0.085\n", "age_old -0.0430 0.017 -2.587 0.010 -0.076 -0.010\n", "ram4_1 0.0269 0.017 1.561 0.119 -0.007 0.061\n", "==============================================================================\n", "Omnibus: 187.067 Durbin-Watson: 1.942\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 360.181\n", "Skew: -0.535 Prob(JB): 6.13e-79\n", "Kurtosis: 4.576 Cond. No. 1.69e+05\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 1.69e+05. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "\n", "\n", "\n", "Variance Inflation Factors\n", "const 265.104024\n", "brand_name_Others 8.847330\n", "brand_name_Samsung 6.892140\n", "brand_name_Huawei 5.738639\n", "battery 5.568998\n", "screen_size 5.011843\n", "brand_name_LG 4.721959\n", "brand_name_Lenovo 4.165953\n", "brand_name_ZTE 3.949164\n", "brand_name_Oppo 3.667339\n", "brand_name_Xiaomi 3.588128\n", "brand_name_Alcatel 3.355138\n", "brand_name_Vivo 3.336228\n", "brand_name_Micromax 3.319684\n", "brand_name_Asus 3.276583\n", "brand_name_Nokia 3.217382\n", "battery_by_weight 3.180109\n", "brand_name_Motorola 3.170931\n", "brand_name_Honor 3.149329\n", "brand_name_HTC 3.106789\n", "selfie_camera_mp 2.874054\n", "age_old 2.871001\n", "normalized_new_price 2.855336\n", "brand_name_Sony 2.718676\n", "days_used 2.425685\n", "ram 2.279765\n", "main_camera_mp 2.191216\n", "4g_yes 2.185600\n", "brand_name_Meizu 2.136820\n", "brand_name_Apple 2.128776\n", "5g_yes 2.068311\n", "brand_name_Panasonic 2.008574\n", "brand_name_Gionee 1.970664\n", "brand_name_Realme 1.934292\n", "ram4_1 1.892896\n", "brand_name_Microsoft 1.784541\n", "brand_name_Lava 1.772362\n", "brand_name_Celkon 1.756081\n", "os_Others 1.726867\n", "brand_name_Spice 1.718455\n", "brand_name_XOLO 1.695882\n", "brand_name_OnePlus 1.633656\n", "brand_name_BlackBerry 1.609489\n", "os_Windows 1.592640\n", "brand_name_Karbonn 1.540439\n", "brand_name_Coolpad 1.438564\n", "brand_name_Infinix 1.346046\n", "int_memory 1.318438\n", "brand_name_Google 1.256753\n", "dtype: float64\n", "================================================\n", "R-squared for data with dropped high-VIF columns\n", " R-squared Adj. R-squared\n", "Before 0.839 0.836\n", "Without brand_name_Others 0.839 0.836\n", "Without brand_name_Samsung 0.839 0.836\n", "Without brand_name_Huawei 0.839 0.836\n", "Without battery 0.839 0.835\n", "Without screen_size 0.829 0.825\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 81 } ] }, { "cell_type": "markdown", "source": [ "It seems that brand_name_Others is more complicating than elucidating. It may very well be too imprecise to be beneficial for our model. Let's drop it knowing that the R-squared value will not decrease. " ], "metadata": { "id": "HiW8qNzkMROM" } }, { "cell_type": "code", "source": [ "# drop brand_name_Others\n", "X_train=X_train.drop(['brand_name_Others'],axis=1)\n", "\n", "# add to dropped_col\n", "dropped_cols.append('brand_name_Others')" ], "metadata": { "id": "kdiM_XNdNCYa" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "TBvnoRa6N8ey", "outputId": "105d8cda-65e9-4d85-b74f-258ce528ec33" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.839\n", "Model: OLS Adj. R-squared: 0.836\n", "Method: Least Squares F-statistic: 259.5\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:04 Log-Likelihood: 113.91\n", "No. Observations: 2382 AIC: -131.8\n", "Df Residuals: 2334 BIC: 145.4\n", "Df Model: 47 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.3861 0.067 20.717 0.000 1.255 1.517\n", "screen_size 0.0354 0.003 12.458 0.000 0.030 0.041\n", "main_camera_mp 0.0210 0.001 14.492 0.000 0.018 0.024\n", "selfie_camera_mp 0.0143 0.001 12.125 0.000 0.012 0.017\n", "int_memory 0.0001 6.12e-05 2.311 0.021 2.14e-05 0.000\n", "ram 0.0129 0.005 2.457 0.014 0.003 0.023\n", "battery 2.918e-05 8.83e-06 3.303 0.001 1.19e-05 4.65e-05\n", "days_used -2.261e-05 2.99e-05 -0.757 0.449 -8.12e-05 3.59e-05\n", "normalized_new_price 0.4141 0.012 34.362 0.000 0.390 0.438\n", "battery_by_weight -0.0078 0.002 -4.285 0.000 -0.011 -0.004\n", "brand_name_Alcatel -0.0077 0.028 -0.272 0.786 -0.063 0.048\n", "brand_name_Apple -0.0356 0.044 -0.804 0.421 -0.123 0.051\n", "brand_name_Asus 0.0299 0.029 1.046 0.296 -0.026 0.086\n", "brand_name_BlackBerry 0.0729 0.062 1.181 0.238 -0.048 0.194\n", "brand_name_Celkon -0.2930 0.059 -4.994 0.000 -0.408 -0.178\n", "brand_name_Coolpad 0.0099 0.062 0.160 0.873 -0.112 0.132\n", "brand_name_Gionee 0.0048 0.042 0.113 0.910 -0.078 0.088\n", "brand_name_Google 0.0549 0.084 0.650 0.516 -0.111 0.220\n", "brand_name_HTC -0.0043 0.030 -0.144 0.886 -0.063 0.055\n", "brand_name_Honor 0.0154 0.031 0.500 0.617 -0.045 0.076\n", "brand_name_Huawei -0.0256 0.022 -1.149 0.251 -0.069 0.018\n", "brand_name_Infinix 0.3252 0.082 3.962 0.000 0.164 0.486\n", "brand_name_Karbonn 0.0204 0.055 0.368 0.713 -0.088 0.129\n", "brand_name_LG -0.0350 0.024 -1.460 0.144 -0.082 0.012\n", "brand_name_Lava -0.0013 0.047 -0.027 0.978 -0.094 0.091\n", "brand_name_Lenovo 0.0197 0.025 0.789 0.430 -0.029 0.069\n", "brand_name_Meizu -0.0189 0.040 -0.470 0.639 -0.098 0.060\n", "brand_name_Micromax -0.0182 0.029 -0.630 0.529 -0.075 0.038\n", "brand_name_Microsoft 0.0527 0.079 0.666 0.505 -0.102 0.208\n", "brand_name_Motorola -0.0705 0.031 -2.287 0.022 -0.131 -0.010\n", "brand_name_Nokia 0.0675 0.035 1.946 0.052 -0.001 0.135\n", "brand_name_OnePlus 0.0144 0.055 0.259 0.795 -0.094 0.123\n", "brand_name_Oppo 0.0116 0.029 0.406 0.685 -0.045 0.068\n", "brand_name_Panasonic -0.0060 0.041 -0.147 0.883 -0.087 0.074\n", "brand_name_Realme 0.0047 0.047 0.100 0.921 -0.088 0.098\n", "brand_name_Samsung -0.0322 0.020 -1.589 0.112 -0.072 0.008\n", "brand_name_Sony -0.0695 0.034 -2.074 0.038 -0.135 -0.004\n", "brand_name_Spice -0.0280 0.049 -0.574 0.566 -0.124 0.068\n", "brand_name_Vivo -0.0282 0.031 -0.925 0.355 -0.088 0.032\n", "brand_name_XOLO -0.0614 0.049 -1.265 0.206 -0.157 0.034\n", "brand_name_Xiaomi 0.0710 0.029 2.457 0.014 0.014 0.128\n", "brand_name_ZTE -0.0191 0.026 -0.723 0.470 -0.071 0.033\n", "os_Others -0.0103 0.036 -0.286 0.775 -0.081 0.060\n", "os_Windows -0.0251 0.045 -0.561 0.575 -0.113 0.063\n", "4g_yes 0.0686 0.015 4.500 0.000 0.039 0.098\n", "5g_yes 0.0182 0.034 0.536 0.592 -0.048 0.085\n", "age_old -0.0426 0.017 -2.567 0.010 -0.075 -0.010\n", "ram4_1 0.0269 0.017 1.561 0.119 -0.007 0.061\n", "==============================================================================\n", "Omnibus: 187.235 Durbin-Watson: 1.941\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 360.648\n", "Skew: -0.535 Prob(JB): 4.86e-79\n", "Kurtosis: 4.577 Cond. No. 6.69e+04\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.69e+04. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "\n", "\n", "\n", "Variance Inflation Factors\n", "const 196.353264\n", "battery 5.560984\n", "screen_size 4.984176\n", "battery_by_weight 3.179004\n", "selfie_camera_mp 2.873727\n", "age_old 2.864429\n", "normalized_new_price 2.855014\n", "days_used 2.425647\n", "ram 2.279733\n", "main_camera_mp 2.191015\n", "4g_yes 2.185181\n", "5g_yes 2.068308\n", "ram4_1 1.892896\n", "os_Others 1.723775\n", "os_Windows 1.589856\n", "brand_name_Samsung 1.573346\n", "brand_name_Nokia 1.504856\n", "brand_name_Huawei 1.502879\n", "brand_name_Microsoft 1.488295\n", "brand_name_LG 1.372475\n", "brand_name_Oppo 1.350397\n", "brand_name_Xiaomi 1.330653\n", "brand_name_Vivo 1.325473\n", "int_memory 1.318334\n", "brand_name_ZTE 1.308460\n", "brand_name_Lenovo 1.296540\n", "brand_name_Motorola 1.272006\n", "brand_name_Honor 1.270812\n", "brand_name_Celkon 1.256991\n", "brand_name_Micromax 1.253321\n", "brand_name_Apple 1.247784\n", "brand_name_Alcatel 1.240127\n", "brand_name_HTC 1.221159\n", "brand_name_Asus 1.215106\n", "brand_name_Sony 1.209331\n", "brand_name_BlackBerry 1.183462\n", "brand_name_Realme 1.181635\n", "brand_name_Meizu 1.139277\n", "brand_name_OnePlus 1.118116\n", "brand_name_Infinix 1.112590\n", "brand_name_Gionee 1.100861\n", "brand_name_Panasonic 1.100701\n", "brand_name_Lava 1.094078\n", "brand_name_Spice 1.088881\n", "brand_name_XOLO 1.073786\n", "brand_name_Karbonn 1.065913\n", "brand_name_Coolpad 1.055485\n", "brand_name_Google 1.045864\n", "dtype: float64\n", "================================================\n", "R-squared for data with dropped high-VIF columns\n", " R-squared Adj. R-squared\n", "Before 0.839 0.836\n", "Without battery 0.839 0.835\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 83 } ] }, { "cell_type": "markdown", "source": [ "Our R-squared did not change and brand_name_Samsung no longer has high VIF.\n", "\n", "Since we have both battery_by_weight and screen_size predicting battery, we can confidently remove the latter, as it has high VIF." ], "metadata": { "id": "kdnlAwP3OpWw" } }, { "cell_type": "code", "source": [ "# drop\n", "X_train=X_train.drop(['battery'],axis=1)\n", "\n", "# append to list\n", "dropped_cols.append('battery')" ], "metadata": { "id": "xyXYoothOW_g" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "cn9ELvqDOdHc", "outputId": "4e92e4ee-9f9c-45c7-eb70-2c1d9ec18325" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.839\n", "Model: OLS Adj. R-squared: 0.835\n", "Method: Least Squares F-statistic: 263.8\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:05 Log-Likelihood: 108.36\n", "No. Observations: 2382 AIC: -122.7\n", "Df Residuals: 2335 BIC: 148.7\n", "Df Model: 46 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.2957 0.061 21.175 0.000 1.176 1.416\n", "screen_size 0.0430 0.002 26.279 0.000 0.040 0.046\n", "main_camera_mp 0.0207 0.001 14.259 0.000 0.018 0.024\n", "selfie_camera_mp 0.0139 0.001 11.816 0.000 0.012 0.016\n", "int_memory 0.0001 6.13e-05 2.441 0.015 2.94e-05 0.000\n", "ram 0.0134 0.005 2.543 0.011 0.003 0.024\n", "days_used -1.819e-05 2.99e-05 -0.609 0.543 -7.68e-05 4.04e-05\n", "normalized_new_price 0.4169 0.012 34.603 0.000 0.393 0.441\n", "battery_by_weight -0.0043 0.001 -2.893 0.004 -0.007 -0.001\n", "brand_name_Alcatel -0.0166 0.028 -0.586 0.558 -0.072 0.039\n", "brand_name_Apple -0.0220 0.044 -0.498 0.619 -0.109 0.065\n", "brand_name_Asus 0.0311 0.029 1.086 0.278 -0.025 0.087\n", "brand_name_BlackBerry 0.0711 0.062 1.150 0.250 -0.050 0.192\n", "brand_name_Celkon -0.2889 0.059 -4.914 0.000 -0.404 -0.174\n", "brand_name_Coolpad 0.0070 0.062 0.112 0.911 -0.115 0.129\n", "brand_name_Gionee 0.0119 0.042 0.282 0.778 -0.071 0.095\n", "brand_name_Google 0.0497 0.085 0.588 0.557 -0.116 0.216\n", "brand_name_HTC -0.0064 0.030 -0.213 0.831 -0.065 0.053\n", "brand_name_Honor 0.0099 0.031 0.320 0.749 -0.051 0.070\n", "brand_name_Huawei -0.0248 0.022 -1.112 0.266 -0.069 0.019\n", "brand_name_Infinix 0.3327 0.082 4.046 0.000 0.171 0.494\n", "brand_name_Karbonn 0.0107 0.055 0.193 0.847 -0.098 0.119\n", "brand_name_LG -0.0356 0.024 -1.482 0.139 -0.083 0.012\n", "brand_name_Lava -0.0055 0.047 -0.116 0.908 -0.098 0.087\n", "brand_name_Lenovo 0.0219 0.025 0.878 0.380 -0.027 0.071\n", "brand_name_Meizu -0.0225 0.040 -0.559 0.576 -0.101 0.056\n", "brand_name_Micromax -0.0220 0.029 -0.763 0.445 -0.079 0.035\n", "brand_name_Microsoft 0.0503 0.079 0.635 0.525 -0.105 0.206\n", "brand_name_Motorola -0.0678 0.031 -2.194 0.028 -0.128 -0.007\n", "brand_name_Nokia 0.0654 0.035 1.883 0.060 -0.003 0.134\n", "brand_name_OnePlus 0.0064 0.055 0.115 0.908 -0.102 0.115\n", "brand_name_Oppo 0.0105 0.029 0.364 0.716 -0.046 0.067\n", "brand_name_Panasonic -0.0113 0.041 -0.275 0.784 -0.092 0.069\n", "brand_name_Realme 0.0100 0.047 0.212 0.832 -0.083 0.103\n", "brand_name_Samsung -0.0313 0.020 -1.539 0.124 -0.071 0.009\n", "brand_name_Sony -0.0690 0.034 -2.053 0.040 -0.135 -0.003\n", "brand_name_Spice -0.0230 0.049 -0.470 0.638 -0.119 0.073\n", "brand_name_Vivo -0.0314 0.031 -1.027 0.305 -0.091 0.029\n", "brand_name_XOLO -0.0643 0.049 -1.322 0.186 -0.160 0.031\n", "brand_name_Xiaomi 0.0755 0.029 2.613 0.009 0.019 0.132\n", "brand_name_ZTE -0.0211 0.026 -0.798 0.425 -0.073 0.031\n", "os_Others 0.0177 0.035 0.505 0.614 -0.051 0.086\n", "os_Windows -0.0266 0.045 -0.595 0.552 -0.114 0.061\n", "4g_yes 0.0695 0.015 4.552 0.000 0.040 0.099\n", "5g_yes 0.0204 0.034 0.599 0.549 -0.046 0.087\n", "age_old -0.0443 0.017 -2.665 0.008 -0.077 -0.012\n", "ram4_1 0.0269 0.017 1.561 0.119 -0.007 0.061\n", "==============================================================================\n", "Omnibus: 186.544 Durbin-Watson: 1.941\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 359.965\n", "Skew: -0.533 Prob(JB): 6.83e-79\n", "Kurtosis: 4.578 Cond. No. 1.40e+04\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 1.4e+04. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "\n", "\n", "\n", "Variance Inflation Factors\n", "const 163.546190\n", "age_old 2.861644\n", "normalized_new_price 2.841189\n", "selfie_camera_mp 2.841148\n", "days_used 2.420772\n", "ram 2.278053\n", "4g_yes 2.184430\n", "main_camera_mp 2.179395\n", "battery_by_weight 2.087648\n", "5g_yes 2.067531\n", "ram4_1 1.892894\n", "screen_size 1.651488\n", "os_Others 1.628177\n", "os_Windows 1.589682\n", "brand_name_Samsung 1.573021\n", "brand_name_Nokia 1.504374\n", "brand_name_Huawei 1.502714\n", "brand_name_Microsoft 1.488174\n", "brand_name_LG 1.372401\n", "brand_name_Oppo 1.350188\n", "brand_name_Xiaomi 1.327600\n", "brand_name_Vivo 1.324158\n", "int_memory 1.316189\n", "brand_name_ZTE 1.307764\n", "brand_name_Lenovo 1.295566\n", "brand_name_Motorola 1.271094\n", "brand_name_Honor 1.267041\n", "brand_name_Celkon 1.256428\n", "brand_name_Micromax 1.251259\n", "brand_name_Apple 1.236995\n", "brand_name_Alcatel 1.229015\n", "brand_name_HTC 1.220608\n", "brand_name_Asus 1.214908\n", "brand_name_Sony 1.209302\n", "brand_name_BlackBerry 1.183374\n", "brand_name_Realme 1.180261\n", "brand_name_Meizu 1.138431\n", "brand_name_OnePlus 1.115987\n", "brand_name_Infinix 1.111752\n", "brand_name_Panasonic 1.099036\n", "brand_name_Gionee 1.097969\n", "brand_name_Lava 1.093285\n", "brand_name_Spice 1.087834\n", "brand_name_XOLO 1.073437\n", "brand_name_Karbonn 1.062911\n", "brand_name_Coolpad 1.055264\n", "brand_name_Google 1.045507\n", "dtype: float64\n", "\n", "There are no features with VIF greater than 5\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 85 } ] }, { "cell_type": "markdown", "source": [ "There was no effect on R-squared, we have eliminated all high VIF features.\n", "\n", "Next we'll look at p-values, assuming a 5% level of significance. The p-values for os_Others and os_Windows are both high, indicating that operating system is generally not a good predictor of used price. We will drop all os features." ], "metadata": { "id": "hqNhNrdkOy9Z" } }, { "cell_type": "code", "source": [ "# drop\n", "X_train=X_train.drop(['os_Others','os_Windows'],axis=1)\n", "\n", "# append\n", "dropped_cols.append('os_Others')\n", "dropped_cols.append('os_Windows')" ], "metadata": { "id": "uLHTkS19PWqo" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train,hide_vif=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "AzsEv2fZbRk4", "outputId": "415792e1-f2cd-41ad-ceb1-5ee485af0c82" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.839\n", "Model: OLS Adj. R-squared: 0.836\n", "Method: Least Squares F-statistic: 275.9\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:07 Log-Likelihood: 108.01\n", "No. Observations: 2382 AIC: -126.0\n", "Df Residuals: 2337 BIC: 133.9\n", "Df Model: 44 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.3053 0.059 22.168 0.000 1.190 1.421\n", "screen_size 0.0429 0.002 26.747 0.000 0.040 0.046\n", "main_camera_mp 0.0206 0.001 14.243 0.000 0.018 0.023\n", "selfie_camera_mp 0.0139 0.001 11.874 0.000 0.012 0.016\n", "int_memory 0.0001 6.13e-05 2.429 0.015 2.87e-05 0.000\n", "ram 0.0128 0.005 2.459 0.014 0.003 0.023\n", "days_used -1.819e-05 2.99e-05 -0.609 0.543 -7.68e-05 4.04e-05\n", "normalized_new_price 0.4164 0.012 34.658 0.000 0.393 0.440\n", "battery_by_weight -0.0043 0.001 -2.907 0.004 -0.007 -0.001\n", "brand_name_Alcatel -0.0151 0.028 -0.536 0.592 -0.070 0.040\n", "brand_name_Apple -0.0184 0.044 -0.421 0.674 -0.104 0.067\n", "brand_name_Asus 0.0322 0.029 1.129 0.259 -0.024 0.088\n", "brand_name_BlackBerry 0.0818 0.059 1.397 0.163 -0.033 0.197\n", "brand_name_Celkon -0.2840 0.058 -4.905 0.000 -0.397 -0.170\n", "brand_name_Coolpad 0.0077 0.062 0.124 0.901 -0.114 0.130\n", "brand_name_Gionee 0.0126 0.042 0.298 0.766 -0.070 0.095\n", "brand_name_Google 0.0508 0.085 0.600 0.548 -0.115 0.217\n", "brand_name_HTC -0.0066 0.030 -0.220 0.826 -0.066 0.052\n", "brand_name_Honor 0.0104 0.031 0.338 0.736 -0.050 0.071\n", "brand_name_Huawei -0.0243 0.022 -1.089 0.276 -0.068 0.019\n", "brand_name_Infinix 0.3301 0.082 4.019 0.000 0.169 0.491\n", "brand_name_Karbonn 0.0101 0.055 0.183 0.855 -0.098 0.119\n", "brand_name_LG -0.0349 0.024 -1.457 0.145 -0.082 0.012\n", "brand_name_Lava -0.0071 0.047 -0.150 0.881 -0.100 0.085\n", "brand_name_Lenovo 0.0226 0.025 0.907 0.365 -0.026 0.072\n", "brand_name_Meizu -0.0216 0.040 -0.536 0.592 -0.100 0.057\n", "brand_name_Micromax -0.0217 0.029 -0.754 0.451 -0.078 0.035\n", "brand_name_Microsoft 0.0243 0.066 0.367 0.714 -0.105 0.154\n", "brand_name_Motorola -0.0672 0.031 -2.176 0.030 -0.128 -0.007\n", "brand_name_Nokia 0.0645 0.032 1.995 0.046 0.001 0.128\n", "brand_name_OnePlus 0.0080 0.055 0.144 0.885 -0.101 0.116\n", "brand_name_Oppo 0.0109 0.029 0.381 0.703 -0.045 0.067\n", "brand_name_Panasonic -0.0107 0.041 -0.259 0.796 -0.091 0.070\n", "brand_name_Realme 0.0096 0.047 0.204 0.839 -0.083 0.103\n", "brand_name_Samsung -0.0299 0.020 -1.480 0.139 -0.070 0.010\n", "brand_name_Sony -0.0674 0.034 -2.012 0.044 -0.133 -0.002\n", "brand_name_Spice -0.0235 0.049 -0.481 0.630 -0.119 0.072\n", "brand_name_Vivo -0.0306 0.031 -1.003 0.316 -0.090 0.029\n", "brand_name_XOLO -0.0651 0.049 -1.340 0.180 -0.160 0.030\n", "brand_name_Xiaomi 0.0762 0.029 2.639 0.008 0.020 0.133\n", "brand_name_ZTE -0.0202 0.026 -0.767 0.443 -0.072 0.032\n", "4g_yes 0.0691 0.015 4.529 0.000 0.039 0.099\n", "5g_yes 0.0214 0.034 0.631 0.528 -0.045 0.088\n", "age_old -0.0449 0.017 -2.709 0.007 -0.077 -0.012\n", "ram4_1 0.0252 0.017 1.481 0.139 -0.008 0.059\n", "==============================================================================\n", "Omnibus: 184.690 Durbin-Watson: 1.942\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 357.701\n", "Skew: -0.527 Prob(JB): 2.12e-78\n", "Kurtosis: 4.579 Cond. No. 1.38e+04\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 1.38e+04. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 87 } ] }, { "cell_type": "markdown", "source": [ "Dropping os_Others and os_Windows has had no impact on the model's R-squared.\n", "\n", "With a p-value of 0.543, days_used is certainly not lending any predictive insight to our model. Let's drop it." ], "metadata": { "id": "n-g_qpn3cwrg" } }, { "cell_type": "code", "source": [ "# drop\n", "X_train=X_train.drop(['days_used'],axis=1)\n", "\n", "# append\n", "dropped_cols.append('days_used')" ], "metadata": { "id": "0LXOaJXncv76" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train,hide_vif=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "41qvoiZPdVg5", "outputId": "d6f6f0b1-cff1-46e1-964d-040ee5db9969" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.839\n", "Model: OLS Adj. R-squared: 0.836\n", "Method: Least Squares F-statistic: 282.4\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:07 Log-Likelihood: 107.82\n", "No. Observations: 2382 AIC: -127.6\n", "Df Residuals: 2338 BIC: 126.5\n", "Df Model: 43 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.2961 0.057 22.781 0.000 1.185 1.408\n", "screen_size 0.0429 0.002 26.896 0.000 0.040 0.046\n", "main_camera_mp 0.0205 0.001 14.234 0.000 0.018 0.023\n", "selfie_camera_mp 0.0140 0.001 11.981 0.000 0.012 0.016\n", "int_memory 0.0001 6.12e-05 2.443 0.015 2.95e-05 0.000\n", "ram 0.0131 0.005 2.523 0.012 0.003 0.023\n", "normalized_new_price 0.4159 0.012 34.687 0.000 0.392 0.439\n", "battery_by_weight -0.0042 0.001 -2.861 0.004 -0.007 -0.001\n", "brand_name_Alcatel -0.0155 0.028 -0.550 0.582 -0.071 0.040\n", "brand_name_Apple -0.0176 0.044 -0.402 0.688 -0.103 0.068\n", "brand_name_Asus 0.0319 0.029 1.119 0.263 -0.024 0.088\n", "brand_name_BlackBerry 0.0826 0.059 1.411 0.158 -0.032 0.197\n", "brand_name_Celkon -0.2835 0.058 -4.899 0.000 -0.397 -0.170\n", "brand_name_Coolpad 0.0071 0.062 0.115 0.909 -0.115 0.129\n", "brand_name_Gionee 0.0122 0.042 0.288 0.774 -0.071 0.095\n", "brand_name_Google 0.0512 0.085 0.605 0.545 -0.115 0.217\n", "brand_name_HTC -0.0065 0.030 -0.216 0.829 -0.065 0.052\n", "brand_name_Honor 0.0110 0.031 0.356 0.722 -0.049 0.071\n", "brand_name_Huawei -0.0239 0.022 -1.072 0.284 -0.068 0.020\n", "brand_name_Infinix 0.3317 0.082 4.040 0.000 0.171 0.493\n", "brand_name_Karbonn 0.0100 0.055 0.181 0.856 -0.099 0.119\n", "brand_name_LG -0.0342 0.024 -1.430 0.153 -0.081 0.013\n", "brand_name_Lava -0.0075 0.047 -0.160 0.873 -0.100 0.085\n", "brand_name_Lenovo 0.0226 0.025 0.905 0.366 -0.026 0.072\n", "brand_name_Meizu -0.0223 0.040 -0.556 0.578 -0.101 0.056\n", "brand_name_Micromax -0.0223 0.029 -0.775 0.438 -0.079 0.034\n", "brand_name_Microsoft 0.0238 0.066 0.359 0.719 -0.106 0.153\n", "brand_name_Motorola -0.0655 0.031 -2.131 0.033 -0.126 -0.005\n", "brand_name_Nokia 0.0648 0.032 2.005 0.045 0.001 0.128\n", "brand_name_OnePlus 0.0072 0.055 0.130 0.897 -0.101 0.116\n", "brand_name_Oppo 0.0110 0.029 0.383 0.702 -0.045 0.067\n", "brand_name_Panasonic -0.0116 0.041 -0.282 0.778 -0.092 0.069\n", "brand_name_Realme 0.0117 0.047 0.248 0.804 -0.081 0.104\n", "brand_name_Samsung -0.0298 0.020 -1.473 0.141 -0.069 0.010\n", "brand_name_Sony -0.0670 0.034 -1.999 0.046 -0.133 -0.001\n", "brand_name_Spice -0.0249 0.049 -0.511 0.610 -0.121 0.071\n", "brand_name_Vivo -0.0303 0.031 -0.994 0.321 -0.090 0.030\n", "brand_name_XOLO -0.0651 0.049 -1.339 0.181 -0.160 0.030\n", "brand_name_Xiaomi 0.0761 0.029 2.635 0.008 0.019 0.133\n", "brand_name_ZTE -0.0205 0.026 -0.777 0.437 -0.072 0.031\n", "4g_yes 0.0689 0.015 4.522 0.000 0.039 0.099\n", "5g_yes 0.0224 0.034 0.660 0.509 -0.044 0.089\n", "age_old -0.0493 0.015 -3.287 0.001 -0.079 -0.020\n", "ram4_1 0.0228 0.017 1.377 0.169 -0.010 0.055\n", "==============================================================================\n", "Omnibus: 184.367 Durbin-Watson: 1.941\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 356.117\n", "Skew: -0.527 Prob(JB): 4.68e-78\n", "Kurtosis: 4.573 Cond. No. 2.03e+03\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 2.03e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 89 } ] }, { "cell_type": "markdown", "source": [ "Dropping days_used had no impact on R-squared either.\n", "\n", "Despite high p-values, I do not believe we can drop only some of the brand_name columns. This is because dropping only part of a categorical variable will negatively impact interpretability of the model. Thus, the only other features with high p-values are 5g_yes and ram4_1. The former records whether the device has 5G connectivity, which is apparently not a good predictor for price, especially as compared to 4G connectivity. The latter is a feature I made in an attempt to bin observations for RAM; it appears to not benefit the model.\n", "\n", "We will still only drop one column at a time to record the effect on the R-squared value." ], "metadata": { "id": "MPwHSG03dtGA" } }, { "cell_type": "code", "source": [ "# drop\n", "X_train=X_train.drop(['5g_yes'],axis=1)\n", "\n", "# append\n", "dropped_cols.append('5g_yes')" ], "metadata": { "id": "iNHQHOcHfC2X" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model_tuning(y_train,X_train,hide_vif=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "e5vSrhDGfM_k", "outputId": "675cbaba-1cb9-419c-c8d9-a2d31e95db85" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.839\n", "Model: OLS Adj. R-squared: 0.836\n", "Method: Least Squares F-statistic: 289.2\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:07 Log-Likelihood: 107.60\n", "No. Observations: 2382 AIC: -129.2\n", "Df Residuals: 2339 BIC: 119.2\n", "Df Model: 42 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.2898 0.056 22.997 0.000 1.180 1.400\n", "screen_size 0.0429 0.002 26.912 0.000 0.040 0.046\n", "main_camera_mp 0.0204 0.001 14.237 0.000 0.018 0.023\n", "selfie_camera_mp 0.0140 0.001 11.983 0.000 0.012 0.016\n", "int_memory 0.0002 6.12e-05 2.468 0.014 3.1e-05 0.000\n", "ram 0.0148 0.005 3.253 0.001 0.006 0.024\n", "normalized_new_price 0.4171 0.012 35.205 0.000 0.394 0.440\n", "battery_by_weight -0.0042 0.001 -2.885 0.004 -0.007 -0.001\n", "brand_name_Alcatel -0.0152 0.028 -0.539 0.590 -0.070 0.040\n", "brand_name_Apple -0.0192 0.044 -0.440 0.660 -0.105 0.066\n", "brand_name_Asus 0.0320 0.029 1.121 0.263 -0.024 0.088\n", "brand_name_BlackBerry 0.0825 0.059 1.410 0.159 -0.032 0.197\n", "brand_name_Celkon -0.2819 0.058 -4.876 0.000 -0.395 -0.169\n", "brand_name_Coolpad 0.0089 0.062 0.143 0.886 -0.113 0.130\n", "brand_name_Gionee 0.0121 0.042 0.286 0.775 -0.071 0.095\n", "brand_name_Google 0.0476 0.084 0.565 0.572 -0.118 0.213\n", "brand_name_HTC -0.0070 0.030 -0.232 0.817 -0.066 0.052\n", "brand_name_Honor 0.0116 0.031 0.376 0.707 -0.049 0.072\n", "brand_name_Huawei -0.0240 0.022 -1.077 0.281 -0.068 0.020\n", "brand_name_Infinix 0.3308 0.082 4.030 0.000 0.170 0.492\n", "brand_name_Karbonn 0.0105 0.055 0.189 0.850 -0.098 0.119\n", "brand_name_LG -0.0342 0.024 -1.429 0.153 -0.081 0.013\n", "brand_name_Lava -0.0072 0.047 -0.152 0.879 -0.100 0.085\n", "brand_name_Lenovo 0.0231 0.025 0.924 0.356 -0.026 0.072\n", "brand_name_Meizu -0.0225 0.040 -0.561 0.575 -0.101 0.056\n", "brand_name_Micromax -0.0218 0.029 -0.757 0.449 -0.078 0.035\n", "brand_name_Microsoft 0.0241 0.066 0.364 0.716 -0.106 0.154\n", "brand_name_Motorola -0.0651 0.031 -2.117 0.034 -0.125 -0.005\n", "brand_name_Nokia 0.0660 0.032 2.043 0.041 0.003 0.129\n", "brand_name_OnePlus 0.0078 0.055 0.141 0.888 -0.101 0.116\n", "brand_name_Oppo 0.0116 0.029 0.404 0.687 -0.045 0.068\n", "brand_name_Panasonic -0.0112 0.041 -0.274 0.784 -0.092 0.069\n", "brand_name_Realme 0.0149 0.047 0.318 0.751 -0.077 0.107\n", "brand_name_Samsung -0.0302 0.020 -1.497 0.135 -0.070 0.009\n", "brand_name_Sony -0.0668 0.033 -1.993 0.046 -0.132 -0.001\n", "brand_name_Spice -0.0246 0.049 -0.505 0.614 -0.120 0.071\n", "brand_name_Vivo -0.0306 0.031 -1.004 0.315 -0.090 0.029\n", "brand_name_XOLO -0.0649 0.049 -1.336 0.182 -0.160 0.030\n", "brand_name_Xiaomi 0.0765 0.029 2.649 0.008 0.020 0.133\n", "brand_name_ZTE -0.0203 0.026 -0.769 0.442 -0.072 0.031\n", "4g_yes 0.0689 0.015 4.518 0.000 0.039 0.099\n", "age_old -0.0492 0.015 -3.287 0.001 -0.079 -0.020\n", "ram4_1 0.0184 0.015 1.214 0.225 -0.011 0.048\n", "==============================================================================\n", "Omnibus: 184.759 Durbin-Watson: 1.942\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 356.947\n", "Skew: -0.528 Prob(JB): 3.09e-78\n", "Kurtosis: 4.575 Cond. No. 2.03e+03\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 2.03e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 91 } ] }, { "cell_type": "markdown", "source": [ "Dropping 5g_yes had no effect on the R-squared. What's more, the p-value for ram4_1 actually went up, further confirming our hypothesis that this feature is not necessary." ], "metadata": { "id": "7OnviEUpfcay" } }, { "cell_type": "code", "source": [ "# drop\n", "X_train=X_train.drop(['ram4_1'],axis=1)\n", "\n", "# append\n", "dropped_cols.append('ram4_1')" ], "metadata": { "id": "_GD0cpgyfnPJ" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model=model_tuning(y_train,X_train,hide_vif=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "aoucfdk6fsx2", "outputId": "1c67e250-8aed-43c0-ed22-bbeb31e78501" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " OLS Regression Results \n", "=================================================================================\n", "Dep. Variable: normalized_used_price R-squared: 0.838\n", "Model: OLS Adj. R-squared: 0.836\n", "Method: Least Squares F-statistic: 296.1\n", "Date: Sat, 08 Oct 2022 Prob (F-statistic): 0.00\n", "Time: 04:45:08 Log-Likelihood: 106.85\n", "No. Observations: 2382 AIC: -129.7\n", "Df Residuals: 2340 BIC: 112.9\n", "Df Model: 41 \n", "Covariance Type: nonrobust \n", "=========================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------------\n", "const 1.3002 0.055 23.454 0.000 1.191 1.409\n", "screen_size 0.0428 0.002 26.886 0.000 0.040 0.046\n", "main_camera_mp 0.0207 0.001 14.505 0.000 0.018 0.023\n", "selfie_camera_mp 0.0138 0.001 11.940 0.000 0.012 0.016\n", "int_memory 0.0001 6.01e-05 2.282 0.023 1.93e-05 0.000\n", "ram 0.0146 0.005 3.222 0.001 0.006 0.024\n", "normalized_new_price 0.4185 0.012 35.462 0.000 0.395 0.442\n", "battery_by_weight -0.0043 0.001 -2.934 0.003 -0.007 -0.001\n", "brand_name_Alcatel -0.0171 0.028 -0.609 0.543 -0.072 0.038\n", "brand_name_Apple -0.0200 0.044 -0.459 0.647 -0.106 0.066\n", "brand_name_Asus 0.0329 0.029 1.153 0.249 -0.023 0.089\n", "brand_name_BlackBerry 0.0823 0.059 1.406 0.160 -0.032 0.197\n", "brand_name_Celkon -0.2913 0.057 -5.082 0.000 -0.404 -0.179\n", "brand_name_Coolpad 0.0089 0.062 0.144 0.885 -0.113 0.131\n", "brand_name_Gionee 0.0128 0.042 0.303 0.762 -0.070 0.096\n", "brand_name_Google 0.0434 0.084 0.515 0.607 -0.122 0.209\n", "brand_name_HTC -0.0077 0.030 -0.257 0.797 -0.067 0.051\n", "brand_name_Honor 0.0094 0.031 0.306 0.760 -0.051 0.070\n", "brand_name_Huawei -0.0248 0.022 -1.113 0.266 -0.068 0.019\n", "brand_name_Infinix 0.3248 0.082 3.964 0.000 0.164 0.485\n", "brand_name_Karbonn 0.0090 0.055 0.162 0.871 -0.100 0.118\n", "brand_name_LG -0.0357 0.024 -1.495 0.135 -0.083 0.011\n", "brand_name_Lava -0.0079 0.047 -0.168 0.867 -0.100 0.085\n", "brand_name_Lenovo 0.0231 0.025 0.926 0.355 -0.026 0.072\n", "brand_name_Meizu -0.0235 0.040 -0.584 0.559 -0.102 0.055\n", "brand_name_Micromax -0.0214 0.029 -0.742 0.458 -0.078 0.035\n", "brand_name_Microsoft 0.0245 0.066 0.371 0.711 -0.105 0.154\n", "brand_name_Motorola -0.0662 0.031 -2.154 0.031 -0.126 -0.006\n", "brand_name_Nokia 0.0600 0.032 1.879 0.060 -0.003 0.123\n", "brand_name_OnePlus 0.0028 0.055 0.051 0.959 -0.105 0.111\n", "brand_name_Oppo 0.0098 0.029 0.342 0.732 -0.046 0.066\n", "brand_name_Panasonic -0.0101 0.041 -0.246 0.806 -0.091 0.070\n", "brand_name_Realme 0.0081 0.047 0.173 0.863 -0.083 0.100\n", "brand_name_Samsung -0.0306 0.020 -1.517 0.129 -0.070 0.009\n", "brand_name_Sony -0.0674 0.033 -2.013 0.044 -0.133 -0.002\n", "brand_name_Spice -0.0239 0.049 -0.489 0.625 -0.120 0.072\n", "brand_name_Vivo -0.0309 0.031 -1.013 0.311 -0.091 0.029\n", "brand_name_XOLO -0.0644 0.049 -1.324 0.186 -0.160 0.031\n", "brand_name_Xiaomi 0.0754 0.029 2.611 0.009 0.019 0.132\n", "brand_name_ZTE -0.0211 0.026 -0.799 0.425 -0.073 0.031\n", "4g_yes 0.0695 0.015 4.561 0.000 0.040 0.099\n", "age_old -0.0461 0.015 -3.125 0.002 -0.075 -0.017\n", "==============================================================================\n", "Omnibus: 188.661 Durbin-Watson: 1.940\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 364.229\n", "Skew: -0.538 Prob(JB): 8.10e-80\n", "Kurtosis: 4.585 Cond. No. 2.02e+03\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 2.02e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] } ] }, { "cell_type": "markdown", "source": [ "R-squared only decreased by 0.001 after dropping ram4_1. Outside of the brand_name columns, there are no p-values greater than 0.05. With that, we have a model that explains 83.8% of the variance in used price!" ], "metadata": { "id": "F2spg21yf3Hu" } }, { "cell_type": "markdown", "metadata": { "id": "a9GxSQf-qH8e" }, "source": [ "## Checking Linear Regression Assumptions" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "naX-iXItqH-b" }, "outputs": [], "source": [ "# tabulate model performance\n", "model_perf=pd.DataFrame.from_dict({'Actual':y_train.values,\n", " 'Fitted':model.fittedvalues.values,\n", " 'Residuals':model.resid.values})" ] }, { "cell_type": "code", "source": [ "model_perf.head()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 206 }, "id": "2AaWPea70ndS", "outputId": "a68610c7-b402-482f-9790-5f58877cb9e5" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " Actual Fitted Residuals\n", "0 5.169518 5.033365 0.136153\n", "1 4.284276 4.485839 -0.201563\n", "2 4.955757 4.771354 0.184403\n", "3 4.460607 4.403883 0.056724\n", "4 4.005695 4.063245 -0.057549" ], "text/html": [ "\n", "
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\n", " " ] }, "metadata": {}, "execution_count": 95 } ] }, { "cell_type": "markdown", "source": [ "### Linearity and Independence" ], "metadata": { "id": "m-lRCd253xeZ" } }, { "cell_type": "markdown", "source": [ "If our data really does exhibit a linear relationship, then there should be no pattern in the plot of fitted values versus residuals." ], "metadata": { "id": "_vSpp3tn06Uf" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Linearity Check')\n", "sns.residplot(data=model_perf,x='Fitted',y='Residuals',lowess=True);" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 355 }, "id": "0mavSNHu0rNi", "outputId": "97ce9d0d-ec4a-4938-8e17-91d0cf53a503" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "There is at worst a weak trend apparent here, but the data is essentially noise. This affirms that there is a linear relationship between our inputs and the response variable, normalized_used_price.\n", "\n", "In addition, the plot confirms the independence of residuals, since there is no regularity or pattern in the residuals." ], "metadata": { "id": "VJXB530022ao" } }, { "cell_type": "markdown", "source": [ "### Normality" ], "metadata": { "id": "0ECyAnSu39qA" } }, { "cell_type": "code", "source": [ "plt.figure(figsize=(8,5))\n", "plt.title('Histogram of Linear Regression Residuals',fontsize=16)\n", "sns.histplot(data=model_perf,x='Residuals',kde=True);" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "id": "VfiRFZW03aXb", "outputId": "14e2f698-6908-4bc9-97f7-7576894efb2c" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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Hwf/+7/822VNTX37gwAFUVlZizZo1DW4ju34QZL32tO6BupZ2SkoKgLofkFVVVfjss8/w8MMPo0+fPm2OMzIyEhUVFbBarQ2S/vXnU0txhoSEYMCAAZgyZUqT29T3jMXHx2PFihUQRRGZmZn44IMP8MorryA2NhZ33nkntFotZs+ejdmzZyMnJwcZGRl47bXX4O/vj7lz5zbab1BQEGQymeNH77WKi4sb/Xi7Wd26dXPU+ZAhQ1BcXIy3334bDz74IPR6PUJCQqBSqbB58+Ymt6//YeLv748nn3wSTz75JIqKihxjVqqrq7FmzZomt42MjGzyM7n++6F+7Me1PXQAGg3UPHbsGHJycrB582akpqY6ln/wwQctVQGA1j9HX8ZR+uSg1Wpx1113Ydy4cSgqKnL8ESqVykataKDui/z777+HyWRyLDOZTPj2228xaNAgAECnTp3QqVMn7Nmzp8G2X3/9dZtHzVosliZb4W0ZsXuzBg0aBEEQGsW/a9cu+Pv7S3obVlPuuOMOyOVy5ObmIiUlpdG/+ksd1dXVANCgTi9duoQjR464JK7Zs2cjICAAb775Zrvi7Nu3L+x2e6PR6td/Hi0ZNmwYzpw5gx49ejR5rOt7b2QyGZKSkvDSSy8BAM6dO9don7GxsXjiiSdgMBiaLAcAjUaD3r17Y8+ePbDb7Y7lOTk5OHr0qONvxBVkMhlefvllWCwWvP322wDq6qG2thYmk6nJerj+kiBQl8jHjh2L22+/vdn3CdR9Tvv3729w10teXh6OHj3aYL2YmBgAjev0+rtD6s/Pa3/klZeX45tvvmnDu6/Tls/R17CF7+PeeOMNGI1GDB48GFFRUcjPz8f777+PpKQkR/ddQkICPvzwQ+zevRvx8fHQarXo3r07nn76aXz33Xd4/PHHMWXKFMhkMrzzzjuorq7G9OnTAQByuRzPPPMM5s+fj3nz5iE9PR3Z2dl45513EBgY2KaWY2BgIPr27Yt3330XUVFRCA0NxbZt21BQUODSugHqrpkPGDAACxcuRElJCXr06IH9+/fjk08+wdSpU29qToMDBw40mo0vMDAQd9xxxw3vs3PnzpgyZQqWLFmCS5cuYdCgQVCpVMjLy8OPP/6IsWPHYsiQIbj99tvh5+eHF154AZMmTUJRURHWrVsHvV7vuJbvTJGRkZgwYQL+93//FydPnkRycnKb4hw6dCj69++PBQsWoLS0FF26dEFGRgYyMzMBoMUeqHozZ87E2LFj8cgjj2DixImIjY1FRUUFzp49i+zsbCxbtgyZmZlYunQpfv/736NLly6w2+3Yvn07/Pz8MGTIEADAuHHjkJaWBoPBAI1Gg0OHDiEzMxP3339/s8eeNWsWpk6diqlTp2LChAkwm81Yt24ddDodJk2a5JzKbUZSUhJ+97vf4dNPP8VTTz2FwYMH495778XMmTPx+OOPo0+fPpDL5cjJycH+/fsxZ84cdOvWDdOmTUPPnj3Ru3dvBAUF4dSpUzhw4ADGjRvX7LGefvppZGRk4IknnsDkyZNhsVjw5ptvNurmj4qKwqBBg7Bp0yaEhoYiLCwM//znPxvN/Nm/f3/odDq88sormDlzJsxmMzZs2IDQ0NAW74poy+foy5jwfdytt96K999/H8uWLUNZWRnCw8Nxxx13YNasWY51pkyZgkuXLmHevHkwm80YNGgQ3n//ffTs2RPvv/8+Xn/9dbz44osQRRG33norPvjggwbX/8eOHYuqqiq89957+Oc//4kePXo4bpULDAxsU5yvvfYaFi1ahFdeeQUBAQH4n//5H8ybNw9Tp051ep1cSy6X4+2338bq1avx97//HWVlZYiNjcVLL73U4PLCjViyZEmjZT169MDnn39+U/t97rnn0L17d3z44Yf48MMPIZPJ0KlTJ9x2222OAUz1n8HatWsxbdo0dO7cGbNnz8aBAwdw8ODBmzp+c6ZMmYKtW7di/fr12LBhQ5viBOoGpC5ZsgSrVq2CQqFAWloaZs2ahRdffLFN509MTAy2bduGdevWYfXq1SgtLUVISAh69OjhSNaRkZGIiYnBP/7xD+Tn50OlUsFgMGDjxo1ITk4GAKSmpuLLL7/E22+/Dbvdjvj4eLz00kstzog4fPhwbNq0CevXr8df/vIX+Pv7Y9CgQZg7d26TLWpnmzVrFr766iu88847mD9/PlauXIn3338f27Ztw8aNG6FUKhEbG4uhQ4c6xqUMHDgQe/bswYcffojq6mro9XpMnjwZTz31VLPHSUhIwNtvv40VK1bgL3/5C6KjozFlyhQcO3as0fm0cuVKLFq0CK+++ipUKhUefPBBDB48GPPnz3esExYWhjfffBPLly/HzJkzERUVhcceewzl5eWOXqKmtOVz9GUy0RU/54laceLECTz00ENYvnx5iy0koqYsXrwYn332GQ4ePOgVMzESeQK28MnlsrOz8eGHH2LAgAHQ6XS4cOECNm3ahLi4OIwaNUrq8MjDffbZZ6isrESPHj1gtVpx4MABfPTRR/jzn//MZE/UDkz45HIBAQE4e/YsduzYgYqKCgQFBeH222/H7Nmzm7ydiehaarUa7733HrKysmC1WhEbG4tnn30WkydPljo0Iq/CLn0iIiIfwNvyiIiIfAATPhERkQ9gwiciIvIBHX7QXmlpFQSh4w9TCA/XwWg0tb4itRvr1rVYv67DunUdT6xbuVyG0FBts+UdPuELgugTCR+Az7xPKbBuXYv16zqsW9fxtrpllz4REZEPYMInIiLyAW5J+KWlpZgyZQpGjRqF++67D8888wxKSkoA1D0GcfTo0Rg1ahSeeOKJBo9YbKmMiIiI2s4tCV8mk2Hy5MnIyMjArl27EB8fj1WrVkEQBMydOxcLFixARkYGUlNTsWrVKgBosYyIiIjaxy0JPyQkBIMHD3a87tu3L3Jzc3Hy5EmoVCqkpqYCAMaPH+94znVLZURERNQ+br+GLwgCPvroI6SlpSEvLw8xMTGOsrCwMAiCgLKyshbLiIiIqH3cflvekiVLoNFoMHHiRHz11VcuP154uM7lx/AUkZFte7Y8tR/r1rVYv67DunUdb6tbtyb85cuX48qVK9i4cSPkcjn0ej1yc3Md5SUlJZDL5QgJCWmxrD2MRpPX3St5IyIjA1FUVCl1GB0S69a1WL+uw7p1HU+sW7lc1mIj121d+qtXr8bJkyexfv16xzOsk5OTUVNTg8OHDwMAtmzZgvT09FbLiIiIqH3c0sI/d+4cNm3ahK5du2L8+PEAgLi4OKxfvx4rVqzAwoULUVtbi9jYWKxcuRIAIJfLmy0jImqOWqNES516chlQbba4LyAiDyETRbFD93ezS59uFuvWtZxdvyq1Elv3ZjZbPu53PVFb7RsJn+eu63hi3bbWpd/h59Inoo6l1Ra8XOa+YIi8CBM+EXkVQUSLLfjx6UlujIbIe3AufSIiIh/AhE9EROQDmPCJiIh8ABM+ERGRD2DCJyIi8gFM+ERERD6ACZ+IiMgH8D58IvJ6oiiiqKwaJRW1WLv1KKrMFujDNQhQ8iuOqB7/GojIq9XU2nDkXDGKy2sAAGEVNSipqMWJiyXo1SUUCbFBkMk4+x4REz4Rea3Sylr8+1QB7IKIPgnhiIvUYuIfeuOdz44jM6sMp66UoqrGipSEcMiZ9MnHMeETkVeqqrbi36cL4KeQ446UKARqlI6yQI0SqYmROH2lDOdzyuGnkKN3tzAJoyWSHhM+EXkdi9WOn08VQBSBIb2iodP4N1pHJpOhV9dQ2OwCLuRWIDwoAJ3CNRJES+QZOEqfiLyKKIo4fsGI6lobBiVFNZnsr9W7WyiCtUocPVcMc43NTVESeR4mfCLyKj/+koc8oxmJnUMRHhTQ6voKuRypiZEQRBG/Xi5xQ4REnokJn4i8RklFDd7bfQphgSrcEhvU5u20an/0iAtGntGMXy8aXRghkediwiciryCKIt79MhN2u4i+PSLafatdQkwQNCo/vL/nNOyC4KIoiTwXEz4ReYXvjubg10slmPC7ROjULV+3b4pCIUevrqHILjDhxxP5LoiQyLMx4RORxysoNWPrt+eR3C0MIwfG3/B+9OEadI8Jwu5/XWErn3wOEz4ReTRBEPH/Pj8NP7kck36fdFOz5slkMowenoDCsmocyix0YpREno8Jn4g82p6DWTifU45HfmdAaKDqpvc3IDEKMRFa7P7XFYii6IQIibwDEz4ReayrhSbsOHARAxIjMaRXtFP2KZfL8IchXXC1qArHL3DEPvkOJnwi8ki1Fjs27DwJTYA/Hh2V6NQH4AzqFYXQQBX2HbnqtH0SeTq3Ta27fPlyZGRkICcnB7t27YLBYMDVq1cxffp0xzqVlZUwmUw4ePAgACAtLQ1KpRIqVV033pw5czBs2DB3hUxEEvrgqzPIN5oxe3xfBF0zT74zKORyDOujx64fL6O4rBoRIWqn7p/IE7kt4Y8cORKPPfYYHnnkEceyuLg47Ny50/F66dKlsNvtDbZbu3YtDAaDu8IkIg/w/fFc/HgiH6Pv6IpeXV3z0Jvht8Zg10+Xsf94Lh68M8ElxyDyJG7r0k9NTYVer2+23GKxYNeuXXjwwQfdFRIReaBfL5fg/Ywz6N01FKPv6Ob0/SsUcqjUSuijg9DPEIkfTuRBofSDSq2ESq2E2sm9CUSewmOelrdv3z5ER0ejd+/eDZbPmTMHoihiwIABeO655xAU1PbpNAEgPFznzDA9WmRkoNQhdFisW9eqr99LueXYsOMk4qMDsWDKbdAENJ5gx1xjhVbb/Gh9GdBiuSiK+PzHSwAAnUaJcpMFb+84ic6d6mK4/84EaAObn6NfIZdDpVS05W15BJ67ruNtdesxCX/btm2NWvebN2+GXq+HxWLB0qVLsXjxYqxatapd+zUaTRCEjn/rTWRkIIqKKqUOo0Ni3bpWff1eyC3Hmo+PQ+WvwDMPJKOqsgZVlTWN1leplaiqqm12fyLQ5vJgtR8ClApcuFqG8MC6lr1dELFlz+lmtx/3u56oKDe37c1JjOeu63hi3crlshYbuR4xSr+goACHDh3Cfffd12B5/SUApVKJCRMm4MiRI1KER0QuduKiEas+OgZNgB9efKQ/wtrwFDxnkMlkiAnXoLDUDKuNM+9Rx+YRLfzt27fjzjvvRGhoqGOZ2WyG3W5HYGAgRFHE7t27kZSUJGGURORsNruA9744hU/3nUNcpA7PjbsVIToV1BolmuuYk8udd3seAMREaHExrxL5JWbER/nOJUDyPW5L+K+++ir27t2L4uJiTJo0CSEhIfjiiy8A1CX8efPmNVjfaDRixowZsNvtEAQBCQkJWLhwobvCJSIXO5NVig+/PofsQhOG3xqDh+/uAZV/3bVxQQS27s1scrvx6c794R8aqIJapUBucRUTPnVobkv48+fPx/z585ssy8jIaLQsPj4eO3bscHVYRORmxeXV+PjbCzicWYiwIBVe+tNA9NBLN/iprltfi4t5FbDY7K1vQOSlPKJLn4i8S0td7gDgp5DDZm94TbzGYsPnP1zC5z9egkwG3D+0G0YN7oy4mBDJBz/FRGhxIbcC+UbvGIxHdCOY8Imo3Vrqcgfqut2vLc8trsLJSyWosdgRG6HFC4+lQudBt7aF6JRQqxTIL6mWOhQil2HCJyKXEQQRv14uwaW8SgRrlRiQGInwoACEB6tRW22ROjwHmUyGqBA1rhZVwcbR+tRBMeETkUvY7QL+fboQxeU16B4ThF5dQp0+wt6ZokI1uFJgwpmsUqlDIXIJJnwicjq7XcB/zhahuLwG/XpENBr9Xj+9LVA3c179/+tJ8cMgMjgAMhlw/FyRZ0xQQuRkTPhE5HTvfn4K+SXVSOke1uStboIoOq7xa7WqRjPjOfvWu7bw85MjPCgAx88WoV+PCLcfn8jV+EOWiJyqoMSMfYezkRAbhG769j37QmpRoWpkF5pQXWuTOhQip2PCJyKnsdoEHL9gRGykDj07h7a+gYeJClUDAApLOVqfOh4mfCJymtNXSlFjsWPqAylQePAAveYEqv0RFqRCURkTPnU8TPhE5BRV1VZczq9EN30gbokPkTqcGyKTydCzSxiMFbUQxY7/lE3yLY/1pMEAACAASURBVEz4ROQU53PKIZcBPeKCpQ7lpvTsGoZaqx3mGl7Hp46FCZ+Iblp1rQ1ZhSZ0jg5EgNK7b/7p2aVu7IGxokbiSIiciwmfiG7ahZxyQARuifWuUflNiYnUwd9PDmNFbesrE3kRJnwiuik2u4ArBSbERmqhCfCXOpybJpfLEB6kQglb+NTBMOET0U3JNZphF0R06STdI26dLSwoAFU1NtRYeB2fOg4mfCK6KdkFJmgD/BAWqJI6FKcJDwoAAHbrU4fChE9EN6yqxgpjRQ3io3SQybzvvvvmBGuVUMhl7NanDoUJn4hu2NXCKgBAXBPz5XszuVyGEJ0SZZVs4VPHwYRPRDdEFEVkF5oQERwAjcq7b8VrSohOhfIqCwSBE/BQx8CET0Q3pKLKAnOtDbGRWqlDcYkQnRKCCFSaLVKHQuQUTPhEdEPySswAgE6hGokjcY1gXd0gxDITEz51DEz4RHRD8kuqERaogkqpkDoUl9AG+MFfIUeZidfxqWNgwieidisqq0ZFlQWdwjpm6x6oe5BOsE7JFj51GEz4RNRuRzILAQCdwjtuwgfqBu5VmC2wC4LUoRDdNLcl/OXLlyMtLQ2JiYk4e/asY3laWhrS09MxZswYjBkzBgcOHHCUHTt2DKNHj8aoUaPwxBNPwGg0uitcImrBf84UQqf2h07t/VPptiQkUAlRBCqqrFKHQnTT3JbwR44cic2bNyM2NrZR2dq1a7Fz507s3LkTw4YNAwAIgoC5c+diwYIFyMjIQGpqKlatWuWucImoGdW1NmReLkGnMLXUobhciGPgHq/jk/dzW8JPTU2FXq9v8/onT56ESqVCamoqAGD8+PHYs2ePq8IjojbKzCqFXRARFdLxE75aqYDSX87r+NQheMRsGXPmzIEoihgwYACee+45BAUFIS8vDzExMY51wsLCIAgCysrKEBIS0uZ9h4d3rBnAWhIZ2XEeXuJpWLf/denAJaj8FYjTB0Ehb7rNIAOg1TY/t/715dev29L27d33zZaHBQXAVG11LPPzkyPIi84Hnruu4211K3nC37x5M/R6PSwWC5YuXYrFixc7teveaDT5xExZkZGBKCqqlDqMDol129Dh0wVI7BKKmurmr2uLAKqqmu8Gv7Zcq1U1Wrel7duzb2eUa1V+KCytRqWpBnKZDDab4DXnA89d1/HEupXLZS02ciUfpV/fza9UKjFhwgQcOXLEsTw3N9exXklJCeRyebta90TkXCUVNcgvMSMlIVzqUNwmSKuEIIioauEHDpE3kDThm81mVFbW/UISRRG7d+9GUlISACA5ORk1NTU4fPgwAGDLli1IT0+XLFYiAn69VAIASE6IkDgS9wnS1N2JUGlmwifv5rYu/VdffRV79+5FcXExJk2ahJCQEGzcuBEzZsyA3W6HIAhISEjAwoULAQByuRwrVqzAwoULUVtbi9jYWKxcudJd4RJRE369XIJgrRLxUTr8S+pg3ESn8YcMdc8OiInomM8NIN/gtoQ/f/58zJ8/v9HyHTt2NLtN//79sWvXLleGRURtJIgiTl0uRUr3cMhkMqnDcRuFXA6t2h8VfIgOeTnJr+ETkXfILa6CqdqKpC6hUofidkFaf06+Q16PCZ+I2uRMVhkAILGz7w2cDdIoYa61wWbjFLvkvZjwiahNzmaXITRQhYjgAKlDcbsgrRIA2K1PXo0Jn4haJYoizmaXITE+xKeu39cL0tQnfHbrk/diwieiVhWWVqO8ygKDD3bnA4BapYCfQoaKKrbwyXsx4RNRq85k/3b9Pt43E75MJkOgRolKdumTF2PCJ6JWnckqQ6DGH53CNFKHIplAtT8qOdseeTEmfCJq1dnsMhh89Pp9PZ3GHxarABNb+eSlmPCJqEXF5dUwVtTA4KPd+fUC1XVT7OYUV0kcCdGNYcInohadyy4H4LvX7+vpfptTP6+ICZ+8ExM+EbXoTHYZNCo/xEU2/9hNX6BR+UEulyGn2CR1KEQ3hAmfiFp0JrsMPeKCIZf77vV7oG6kvk7th1y28MlLMeETUbPKTbUoKDH77P3319Op/dnCJ6/FhE9EzTp7te76va8P2KsXqFaiuKwaFqtd6lCI2s1tj8clIu+h1ighiMCF3Aqo/BUwdA2Hn+K/7QNf7d7XafwhikB+iRmdowOlDoeoXZjwiagRQQS27s3EzyfzEKjxx7ZvzjYoH5+eJFFk0qq/NS/XWMWET16HXfpE1CSL1Y4KsxXhPvh0vOZo1X6QyYB8o1nqUIjajQmfiJpUUlELAIgIYsKvp5DLERWqQS4TPnkhJnwiapKxogZyGRASqJQ6FI+iD9eioIQJn7wPEz4RNclYUYOQQBUUcn5NXKtTuAaFpdUQRVHqUIjahX/JRNRIda0NZSYLu/ObEB2mQa3VjvIqPkSHvAsTPhE1ci67FAAQxgF7jXQKr3tEMLv1ydsw4RNRI6cvl0ImA8ICVVKH4nE6hWkBAAWl1RJHQtQ+TPhE1EjmlRKEaJUNJtuhOuHBAVDIZShkwicv47aJd5YvX46MjAzk5ORg165dMBgMKC0txfPPP4+srCwolUp06dIFixcvRlhYGAAgMTERBoMB8t8GDa1YsQKJiYnuCpnIJ1msdlzIKUfXTpxYpikKhRwRIWoUlLJLn7yL236+jxw5Eps3b0ZsbKxjmUwmw+TJk5GRkYFdu3YhPj4eq1atarDdli1bsHPnTuzcuZPJnsgNLuRWwG4XOWCvBdGharbwyeu4LeGnpqZCr9c3WBYSEoLBgwc7Xvft2xe5ubnuComImnA2u6zu+n0Qr983J+q3hM9b88ibeMxc+oIg4KOPPkJaWlqD5Y8++ijsdjuGDx+OGTNmQKls3yQg4eE6Z4bp0SIj2QXrKr5Ut5fyK9GlUxBCgjXNriMDoNU2/4OgveXXr9vS9s4+dnvL/fzkuCU+FF8fvgqFyh/hwepm1/UEvnTuupu31a3HJPwlS5ZAo9Fg4sSJjmXfffcd9Ho9TCYT5s6di/Xr1+PZZ59t136NRhMEoeP/Co+MDERRUaXUYXRIvlS3NruAzMslSEuNR1VVbbPriYDTyrVaVaN1W9remce+kXKbTYBGWdc5evp8ERI7hza7rtR86dx1N0+sW7lc1mIj1yOG4C5fvhxXrlzBmjVrHAP0ADguAeh0OowdOxZHjhyRKkQin3A5rxIWm4CeXTw3iXmCqNDf7sXndXzyIpIn/NWrV+PkyZNYv359g+768vJy1NTUAABsNhsyMjKQlOSbj+Qkcpczv024k9glTOJIPFt4kIq35pHXcVuX/quvvoq9e/eiuLgYkyZNQkhICNasWYNNmzaha9euGD9+PAAgLi4O69evx8WLF7FgwQLIZDLYbDb069cPs2bNcle4RD7pTHYZYiK0CNLygTktUch5ax55H7cl/Pnz52P+/PmNlp85c6bJ9fv164ddu3a5Oiwi+o1dEHD+ajlu691J6lC8QnSoGgUlbOGT95C8S5+IPENWgQk1FjsM8SFSh+IVokM1KCwz89Y88hpM+EQEADh1uQQAOGCvjaJC1bBYBZSZ+NQ88g5M+EQEADh1uRRxkToE8/p9m0SH1d1/X8jr+OQlmPCJCBarHeeulqNXV7bu2yqat+aRl2HCJyKcyymHzS6gV1fejtdWYb/dmseR+uQtmPCJCKcul0Ahl8EQHyx1KF5DIZcjMoQP0SHvwYRPRDh1uRQJscEIUHrMbNtegbfmkTdpc8L/8ssvm1y+Z88epwVDRO5nqrYiK7+S1+/bSKGQQ6VWQqVWQh+pQ1FZNZQB/lCplVBrOOCRPFebE/68efOaXL5gwQKnBUNE7nfqcglEgNfv20gQRWzdm4mtezORU1iJWqsd//f5r9i6NxM+8Jwu8mKt9t9lZ2cDAERRdPz/2rL2Pq6WiDzLLxeM0Ab4obs+SOpQvI42wB8AYKqxIUDFyyHk2Vo9Q++55x7IZDKIooh77rmnQVlERARmzJjhsuCIyLUEUcSJi0akdA+HXC6TOhyvo1XXfYVW1VgRERwgcTRELWs14WdmZgIAJk6ciA8++MDlARGR+1zJr0Sl2Yo+CeFSh+KVNCo/yGRAVbVV6lCIWtXma/hM9kQdz/HzxZABSO7OhH8jZDIZtAF+qKqxSR0KUavafNEpOzsba9aswenTp2E2N5xo4rvvvnN2XETkBicuGtE9Ngg6tb/UoXgtbYA/W/jkFdqc8OfMmYP4+Hi88MILUKvVroyJiNygvMqCS3mVeGBYN6lD8WraAD8Ul9fwqXnk8dqc8M+dO4ePPvoIcjnn6iHydmqNEv86XQgASO2th0rd8G4bDuBrO02AP+yCiFqrIHUoRC1qc8IfOHAgTp06heTkZFfGQ0RuIIjAP7+/ALVKgZ9/ycG/T+Q2KB+fniRRZN5HG1D3NWquYbc+ebY2J/zY2FhMnjwZ99xzDyIiIhqUzZo1y+mBEZHrVNfaUFRWja76IMhkbM3fjPp78TlwjzxdmxN+dXU17rrrLthsNuTn57syJiJysWPniiCIgD5cI3UoXk8d8N978Yk8WZsT/rJly1wZBxG50aFTBVD6yxEWqJI6FK+nkMugVilgZgufPFy7bstrTnx8vFOCISLXs9rsOH6uCPowDbvznUQb4M8uffJ4bU74106xW6/+y+L06dPOj4yIXOLkpRLUWOzsznciTYAf8kvMra9IJKE2J/z6KXbrFRUV4c0330RqaqrTgyIi1/n3qQIEavwREcz5NJxFG+AHi1VAda2t7dOXErnZDZ+bkZGRmDdvHlavXu3MeIjIhaprbTh2rhiDe+t5r70T1Y/ULyxlK5881039GL148SKqq6tbXW/58uVIS0tDYmIizp4961h+6dIljBs3DqNGjcK4ceNw+fLlNpUR0Y05crYIFpuA2/vopQ6lQ9H8NlK/kN365MHa3KU/YcKEBgN8qqurcf78eUyfPr3VbUeOHInHHnsMjzzySIPlCxcuxIQJEzBmzBjs3LkTCxYswP/93/+1WkZEN+bnUwWICA6AIT4ExzILpA6nw6hv4ReUVAOcqZg8VJsT/tixYxu8VqvV6NmzJ7p27drqtk1d5zcajTh16hTeffddAMC9996LJUuWoKSkBKIoNlsWFhbW1pCJ6BrlplqculyC3w/pwtH5TubvJ4fST44CdumTB2tzwn/ggQeceuC8vDxER0dDoVAAABQKBaKiopCXlwdRFJsta2/CDw/XOTVuTxYZGSh1CB1WR6jbH08VQBSB3w/tDj8/ObTa5u/BlwFuLb9+3Za2d3dsbS0P1ChRVGr2uHPF0+LpSLytbtuc8K1WKzZs2ICdO3eisLAQUVFRGDNmDJ566ikolcrWdyARo9EEQej4T7GKjAxEUVGl1GF0SB2hbkVRxO4fLyEhJghqhQw2m4Cqqtrm1wfcVq7Vqhqt29L27oytPeUBSgXyS8weda50hHPXU3li3crlshYbuW1O+CtXrsQvv/yCV155BTExMcjNzcVbb70Fk8mEl19+ud2B6fV6FBQUwG63Q6FQwG63o7CwEHq9HqIoNltGRO137mo58oxmTPqfnlKH0mFpA/yQm1MOm12An4I355HnafNZuWfPHmzYsAFDhw5F9+7dMXToULz55pv48ssvb+jA4eHhSEpKwueffw4A+Pzzz5GUlISwsLAWy4io/b4/nosApQKDkqKlDqXD0gT4QRQBY3mN1KEQNanNLfxrZ9hry/Jrvfrqq9i7dy+Ki4sxadIkhISE4IsvvsCiRYvw4osv4q233kJQUBCWL1/u2KalMiJqO3ONFYczC3F7cieolAqpw+mwHPfil1UjOoyzGJLnaXPCT09Px7Rp0zB9+nTExMQgJycHGzZsQHp6eqvbzp8/H/Pnz2+0PCEhAZ988kmT27RURkRt99PJfFhsAob3jZE6lA5NW38vfmnrc5MQSaHNCX/u3LnYsGEDFi9ejMLCQkRHR+MPf/gDpk2b5sr4iOgmCKKIb/5zFd1jgtC1U5DU4XRoKqUCSn85isqY8MkztXoN/z//+Q9WrlwJpVKJWbNm4auvvsLx48exd+9eWCwWnDp1yh1xEtENOHHBiILSatyTyidauppMJkNUqIYtfPJYrSb8TZs2YeDAgU2WDR48GBs3bnR6UER089QaJb45moPQIBVu7xsLlVrp+Md59F0jKlTDFj55rFa79E+fPo1hw4Y1WXb77bff0C15ROR6WQUmnLxgRM/OIdj2zdkGZePTkySKqmOLDlPj5IViiKLI2QzJ47TawjeZTLBarU2W2Ww2VFVVOT0oIrp5u3+6BIVchi6dvGs2MG8WFaqBxSagzGSROhSiRlpN+N27d8cPP/zQZNkPP/yA7t27Oz0oIro5xvIa/HA8F52jdVD581Y8d6m/HY/d+uSJWk34jz/+OBYuXIi9e/dCEAQAgCAI2Lt3LxYtWoRJkya5PEgiap+Mg1kAgITYYIkj8S31CZ8D98gTtXoN/7777kNxcTFeeOEFWK1WhISEoKysDP7+/pg5cybuvfded8RJRG1UYbbg++O5uL2PHhpVm++8JSeICFFDLpOhkC188kBt+jaYNGkSxo4di6NHj6KsrAwhISHo168fdDrfeRIdkbf46lA2rDYB9w3tjh+OXpU6HJ/ip5AjLEjFLn3ySG3++a/T6ZodrU9EnqHCbMHXh69iYFIUYiP5g1wKUaFqdumTR+IjnYg6kD0/Z8Fis2PM0G5Sh+KzokLUbOGTR2LCJ+ogyk212HfkKob06gR9uFbqcHxWZKgapmorzDU2qUMhaoAJn6iD+PynK7DZRYwe2lXqUHxaVIgaAG/NI8/DhE/UARSUmPHdsRwM7xuD6FA+mlVKkb8lfI7UJ0/DhE/UAWzbfwF+CjnG3NFV6lB8niPhl5oljoSoISZ8Ii93Iacch88UIX1wZwTrVFKH4/PUKj8EafzZpU8eh7NyEHkptUYJuyDi0+8vIlinxOjhCVBdM9EOn4gnnUjemkceiAmfyEsJIrB2y1GcuVKKPgnh2Ln/fINyPhFPOlEhapzNLpM6DKIG2KVP5KXsdgGnrpRCp/ZD52hOsuNJIkPUKKmohdUmSB0KkQMTPpGX2n80B6ZqK5K6hELOZ697lKhQNUQAxeXs1ifPwS59Ig+l1ighiE2X1dTasO3b8wgLVKFTGG/D8zRRIf99TC4nQSJPwYRP5KEEEdi6N7PJsjNZZSgz1WJoSifI2Lr3OJGh9bfmsYVPnoNd+kRepsZix/mccgzqFY2woACpw6EmBGn8ofJXcPId8iiSt/CvXr2K6dOnO15XVlbCZDLh4MGDSEtLg1KphEpVd2/xnDlz+MQ+8nlns8sgiCLG3ZOI/YezpA6HmiCTyRAZokYRW/jkQSRP+HFxcdi5c6fj9dKlS2G32x2v165dC4PBIEVoRB7HXGPDlYJKdI7SQR/Ba8OeLCpUjTxjldRhEDl4VJe+xWLBrl278OCDD0odCpFHOptdBhkAQ3yI1KFQK6JC1Sgqq4EgNjPyksjNJG/hX2vfvn2Ijo5G7969HcvmzJkDURQxYMAAPPfccwgKCpIwQiLpmKqtyC40oZs+EGqVR/3pUhOiQ9Ww2QWUVNQgIlgtdThEnpXwt23b1qB1v3nzZuj1elgsFixduhSLFy/GqlWr2rXP8HDfmZAkMjJQ6hA6LCnq1lxjhVb737nxj180Qi6XoY8hCmqVH2RAg/LrtVR+M9u6ovz6db0p9mv5+ckR9Nu5ktgtAsAZ1Nil/dvk94LreFvdekzCLygowKFDh7BixQrHMr1eDwBQKpWYMGECpk2b1u79Go0mCM3dzNyBREYGoqioUuowOiSp6lalVqKqqhYAUGG24EpeJW6JDYJgs6PKZocIOMqb0lL5zWzr7HKtVtVoXW+J/Xo2m+A4V1S/XTA9e9mIuDBpWvj8XnAdT6xbuVzWYiPXY67hb9++HXfeeSdCQ0MBAGazGZWVdZUpiiJ2796NpCTODU6+6UxWGfwUMtwSGyx1KNRGITolVP4K5JfwMbnkGTymhb99+3bMmzfP8dpoNGLGjBmw2+0QBAEJCQlYuHChhBESSaPMVIs8oxmG+GAo/RVSh0NtJJPJEMWn5pEH8ZiEn5GR0eB1fHw8duzYIVE0RJ7jbHYZ/P3kSIhh697bRIdpkF3gWd2+5Ls8pkufiBqrMFuQX1KN7vog+Pvxz9XTKRRyqNRKx7/YSB2KymugUPpBpVZCrVFKHSL5MI9p4RNRY+evlkMhl6Gb3rtGA/sqQRQbPP8gq6ASgiDivc9/hU7tj3G/6ylhdOTr2GQg8lDFZdXIKa5Cl2gdr917KZ3aHwBQVW2VOBIiJnwij/Xlvy4DALpzZL7X0v6W8E01TPgkPSZ8Ig9krrHhuyNXERuhhYaz6nktpZ8cfgoZqqptUodCxIRP5Il+OJGHGosd3WM4lbQ3k8lk0Kn9YWKXPnkAJnwiDyMIIr4+nA1D5xCE6Jqf4pW8gzbAH1Xs0icPwIRP5GGOny9GcXkN0od0lToUcgKd2h/VtXbY7ILUoZCPY8In8jBf/+cqwoJUSO0ZJXUo5ASOkfo1vI5P0mLCJ/IgecYqnL5SihF9Y6FQ8M+zI9Bpfhupb2a3PkmL3yhEHmT/sVwo5DIMuzVG6lDISXQBdXdZcOAeSY0Jn8hDWKx2/HgiD/0NkQjWcgrWjkKhkEOj8kNltUXqUMjHMeETeYhDmYWoqrFhRL9YqUMhJ9NpeGseSY8Jn8hD7D+Wi+gwDXp2DpE6FHKyunvxbRAEUepQyIcx4RN5gNziKpzPKcfwW/WQyWRSh0NOFqj2hyCIMJZXSx0K+TAmfCIP8MOJPMhlMtyerJc6FHKB+lvzcoqrJI6EfBkTPpHEbHYBP53Mx623hHOwXgdVf2teXhETPkmHT+Ugkohao4QgAiczC1FRZcFdqZ2hUv834cvl7NrvKFT+Cij95MgtNkkdCvkwJnwiiQgisHVvJg6eLoDKX46zl404n1XiKB+fniRhdORsOrU/ctmlTxJilz6RhGosNhSUVCMuSscWfQfHhE9SY8InktDVoiqIADpH6aQOhVwsUOOPiioLKsycgIekwYRPJBFRFJFVYEJooAqBGg7W6+jqP+NcDtwjiTDhE0nk/NVymKqtbN37iKDfRupfLeLAPZIGEz6RRPYfvQqFXIbYCK3UoZAbqJQK6NT+vBefJOMRo/TT0tKgVCqhUqkAAHPmzMGwYcNw7NgxLFiwALW1tYiNjcXKlSsRHh4ucbREN6/WYse/TuYhJkIDPz/+7vYFMpkMcVE65LBLnyTiEQkfANauXQuDweB4LQgC5s6di2XLliE1NRVvvfUWVq1ahWXLlkkYJZFzHD5TiJpaOzpHBUodCrlRfHQgfjieA1EUOYUyuZ3HNi1OnjwJlUqF1NRUAMD48eOxZ88eiaMico4Dv+ShU7gGYUEqqUMhN4qL0qG61o6SilqpQyEf5DEJf86cObjvvvuwaNEiVFRUIC8vDzExMY7ysLAwCIKAsrIyCaMkunkFJWaczS7Dnf3i2MrzMfHRdT06HLhHUvCILv3NmzdDr9fDYrFg6dKlWLx4Me655x6n7Ds83HdGQEdGsnvYVZxZt7sPZkMul+GuAXHYfzSn2fVkALTa5nsAbqbclfu+kfLr1/Wm2NuzbVd9EACgrNrmtr9Xfi+4jrfVrUckfL2+7glhSqUSEyZMwLRp0/DYY48hNzfXsU5JSQnkcjlCQtr3rHCj0eQTz6COjAxEUVGl1GF0SM6sW7sg4KuDV9CnezgCNUpUVTXftSsCLit35b7bW67Vqhqt6y2xt3dblb8CYUEqnL1sRFFRp2bXcxZ+L7iOJ9atXC5rsZEreZe+2WxGZWVdpYmiiN27dyMpKQnJycmoqanB4cOHAQBbtmxBenq6lKES3bQTF0tQbrJgaB8+BtdXxUbocJUj9UkCkrfwjUYjZsyYAbvdDkEQkJCQgIULF0Iul2PFihVYuHBhg9vyiLzZgeO5CNIq0SeBt5f6qrhILU5fKYHNLsBPIXmbi3yI5Ak/Pj4eO3bsaLKsf//+2LVrl5sjInKN8ioLfrlgxD0D4/lF78Pio3Sw2UXkG82I4yyL5Eb81iFyk3+dzIddEDGM3fk+rUunuoFeVwo86/ovdXxM+ERuIIoiDvySi1tig6EP51S6viw6TAOVUoHL+Uz45F5M+ERucCarDHlGM4bdyta9r5PLZOgcpWMLn9yOCZ/IDfYdzYE2wA+Dk6KlDoU8QJfoQGQVVPrELcPkOZjwiVystLIWR88WYWgfPZT+CqnDIQ/QpVMgLFYB+SVmqUMhH8KET+Ri3x/PhV0QcVe/WKlDIQ/BgXskBSZ8Ihey2QXsP5aD5O5hiArVSB0OeQh9uAZKPzmucOAeuRETPpELHTpdiDKTBXcPiJM6FPIgCrkc8VE6JnxyKyZ8IhcRRREZB7MQE6FFcnfOrEcNde4UiCsFlRBEDtwj92DCJ3KR01dKkVVowqiB8ZDzMbh0na6dAlFjsSPfyIF75B5M+EQusudgFoK0Sgzp7fqnopH3uSU2GABwPqdc4kjIVzDhE7lAVkElTl4swcgBcfD3458ZNdYpTAOd2h/nrzLhk3vwm4jIBf7542WoVX4Y2Z+34lHTZDIZbokNxjm28MlNmPCJnCy70IQjZ4twT2ocNAH+UodDHuyWuGAUlJhRYbZIHQr5AMkfj0vU0fzzx0tQqxS4b3gCVC0kfLmcA/l8Xf11/AtXy9HPEClxNNTRMeETOdGV/Er850wR7r29KzQB/ti6N7PZdcenJ7kxMvJE3fSBUMhlOJ/DhE+uxy59Iif65Lvz0Ab4IX1QvNShkBfw91Oga6dAXscnt2DCJ3KSk5eMOHW5FPfd0Y3X7qnNbokLxuW8SlhtgtShUAfHhE90E9QaJVRqJfxV/vh0/0VEhqqRfns3qNRKXqOnRhQKgg1/7AAAF2tJREFUOVRqZYN/vRIiYLMLyCquglqjlDpE6sB4DZ/oJggisHVvJq7kVyIrvxIDDBH4bN9ZALxGT40JothoXIfVJkAmAz7++ix6TblNosjIF7CFT3STLFY7Tl8pRViQCjERWqnDIS/j7ydHaKAKhaXVUodCHRwTPtFNyswqg8UmIKV7OGScM59uQFSIGuVVFlRU8X58ch0mfKKbcCGnHJfzK9FNH4hgLa+/0o2JDFEDAE5eLJY4EurImPCJbpDNLuCdnScQoFSgZ+cQqcMhLxaiU8LfT44T541Sh0IdmOSD9kpLS/H8888jKysLSqUSXbp0weLFixEWFobExEQYDAbI5XW/S1asWIHExESJIyaqs/tfV5BdYMKgpCj4+ymkDoe8mEwmQ2RwAE5cKIYoGnhpiFxC8oQvk8kwefJkDB48GACwfPlyrFq1Cn/9618BAFu2bIFWy4FQ5FmuFpmw66fLuC25EyKDA6QOhzqAyFA1jp83IrvQhM7RgVKHQx2Q5F36ISEhjmQPAH379kVubq6EERG1TBBEvLs7E2qVHx77fS+pw6EOolOYBjIZcPhModShUAcleQv/WoIg4KOPPkJaWppj2aOPPgq73Y7hw4djxowZUCrbNzAqPFzn7DA9VmQkWwWucm3d7th/HpfyKjD7kQEICw6AVqtqchsZ0GyZ1OWeFtv163pT7M7aVgsguXs4jpwtxpP/361O69bn94LreFvdelTCX7JkCTQaDSZOnAgA+O6776DX62EymTB37lysX78ezz77bLv2aTSaIAiiK8L1KJGRgSgqqpQ6jA7p2rotKDXj/d2ncWtCOHrFBcFmE1BVVdvkdiLQbJnU5Z4Um1ararSut8Tu7H0P6tUJ/2/Xrzjya55TuvX5veA6nli3crmsxUau5F369ZYvX44rV65gzZo1jkF6er0eAKDT6TB27FgcOXJEyhDJx9kFAe/sOgU/hRyPjkrkwCpyuoFJ0ZDLZDiUyW59cj6PSPirV6/GyZMnsX79ekeXfXl5OWpqagAANpsNGRkZSEriVKXkXmqNEuYaK1RqJfYcuoqLuRV44r7e0EcHcb58crpArRK9uobi4OkCiGLH75kk95K8S//cuXPYtGkTunbtivHjxwMA4uLiMHnyZCxYsAAymQw2mw39+vXDrFmzJI6WfI0gAv/cfwFX8yvwwy95iI3UIiuvHFl5dY8z5Xz55GwDe0bh3S8zcTG3AgmxwVKHQx2I5Am/R48eOHPmTJNlu3btcnM0RI3ZbAKOnC1CgFKBPt3DpA6HOrjUnlH46Jtz2HckhwmfnMojuvSJPNnRs4WoqrGhnyGCE+yQy6lVfrgjWY9DmQWoMHNufXIeJnyiFhzOLMD5q+VIiA1CRLBa6nDIR6QNiIXNLuLAcc5JQs7DhE/UjKKyamzafgJhQSr07BwqdTjkQ/ThWvTqGopvj+bALghSh0MdBBM+UROsNgEbdpwEANzRJwYKjsYnNxvZPw4lFbU4eIq36JFzMOETNWHrvnO4nF+JqQ+kQKfhY2/J/W7tEYHO0TpsP3ARNjtb+XTzmPCJrnPwdAH2HcnBqEHxSO0ZLXU45KPkMhkeujMBxeU12H+M1/Lp5jHhE10jz1iFd7/MREJs0P/f3t1HRXHeCxz/zszuwi6IgEEE3/EVX0NCsIqIQSyYqER7qaat11tuTHv7wkl764mnrWljck5r2p6exNMXPW3sVXM10URNFY2x9aCiUk30+kYMETAqb8KqyOvuzs79Y3GrAZQYyrLs73POnp3ZeZz98Tg7v3mefXYevpI6wtfhiAA3fngkY4eE89eCUppaXL4OR/g5SfhCtKpvcvLattOYNZX/ypqASZOPh/AtRVH4t5kjudXo5O38i74OR/g5OaMJAbh0zyC92rpmvv+ViUSGyRz3omeIiw1j9mOD+fuHVzlXZvd1OMKPScIXAc9tGPzPno8ounSdpZljGTUo3NchCXGXhTPiGBBpY31eEY3NTl+HI/yUJHwR0AzD4M2/fULB2Uqemj6c5Ikxvg5JiDYsZo1n5o7jZr2DP+w8J6P2xQORhC8ClmEYvHOwhPdPXCY9cRDzkof5OiQhOhQXG8aSjDGcK7Xzv+9/LLPpic/N55PnCOELbsNg8/vF/O3DK6Q+HMviWaNkfnvR482YHEv19Sbyjl3CFmzmK6lxctyKTpOELwJOU4uL1/OK+ODCNeYmD2Px7DEdnjRlvnvRnTRNJcja8Y2eVAUWpsbR0Owk79glmhwuvj57NKokfdEJkvBFj2e1WXB30HupKtD0OWYUu3Ktnj/sOEuVvYlFaSOZN2MEb73f/vTMIPPdi+7lNgze3PdRh9sXfXksqqLw7xljsAaZ2Fv4KfabzSybNw5bsLkbIxX+SBK+6PHcBh2eBBd9eWyn9tHscPHXgjL2Hb+MLdjEfy9+mPihEdIdKvzKnT0A35gTT3S/EDbt/YiXNnzA97MnM2Jg3891ASwCiyR80WsZhkHV9SYOnS7n4KlyGppdTJ8UQ/bMEfSR++MLP9ReD8DU8dGcuHCNlWuP8lTqCOYkDZabRol2ScIXfsvtNrDXNXOttp6b9Q5uNngeda3PZRV11NxsRlHg0dFRZEwZwojYvr4OW4guFRkWzMyEWM6W2Nmef5EjZypYlDaSySP6+To00cNIwhd+obHFRe3NZuy3WrjV6KChyUmL082uo5falLUGmegbYmFQVCiZU4bw8MiH5M55olezmDQeGR3F1+fEsyGviNe2nWbCiH78x5PjiOkXAnz+8S6i95GEL3ose10zBWcrOVlcQ1lFHQAmTSEsxEJ0hA1rkInpDw/EZlEJC7HQt/VhNmnefdxrwB/IKHzRu0weFcWjo65R1ieIC2XXWb7mEIOiQhk1qC//mTXR1+EJH5OEL3oUl+7m/z6p5dDpcs6U1GIYMHpIOOOGRRAVbiXMZr5roF1a4mBamjputdxrwB/IKHzR+6iqQlxsGIOiQiiprOeTKze4XF1PQ4vOnKTBDInu4+sQhY9Iwhc9QpW9kYOnyyk4U0ldg4PwUAtPTh1GyqQYBsX07TBp3/d3y9KCFwHKYtZ4dGx/hkWHUlpRx+lPaig8V0n80AhSJsXwyOgoLGbt/jsSvYYkfAF07W/dO+tmfQv/KKrm2PkqSivqUBWFySP7kTI5lolxkWjq/Uca3+93y9KCF4Eu2KIRPzSC5d9I5L2jpeSfKmfdX89jDTLxpXHRTBkXTVxsmIzsDwCS8AOQ2zBwudy4dDdO3bNsbnax+3AJigIKCqqqYNIUFEXp9G/dO/O+5TUNnC+1c7qklqJL1zEMGDqgD0/PHkPypBgi2hlcJ610Ib64EKuZJ6cOY86XhnLh0xscOl3O4TMVHDh5FWuQxtghEUwYHsnoweFER9rkAqAX6vEJv7S0lBUrVnDjxg3Cw8NZvXo1w4YN83VYPYrT5aaytoHiS9eprWsdyd7goL7ZSUOTi/omJw1NThqanTQ7dPR7jWL7DJOmcPhMJdYgjT5WM6FWM6E2C6FWE6FWi+c1mxlrUOuhZHgSu667udXk5Ea9g6rrjVTUNHCp6hZNLToAAyJtPDl1KFPGDSBucARv7vuIfcfK2o1BWulCdB1VUYgfGkH80AgaZ7s4X2bnXJmdsyV2ThbXAKCpCjH9bAyKCqV/hJW+oUGE2Sz0DbUQajVjMalYzBpmk4pJU3C7PT+T1d0GbsPwLjt1Ny6XG2drA8Ole5aduhtdN1AUBU1TMKkKmqaiqZ51s6Zi0lRMJrV1WfGsty7LDbMeTI9P+D/72c/42te+RlZWFjt37uSFF15gw4YN3R6Hva6Z0qp67kyVmqoQbDERZNGwBpmwBmmguwm2aASZtS45KJ0unVuNTq7fasF+qwV7XTP2uhbst5q9yzcb2na324JNhFjN9LGa6RNiITYqhGCTRnCQ5v3QmFs/UCZNxRJkovBMBQaeG9bobsPzAXW5GTwgjLr6FhqanFytaaC+6Qb1TU46O1mXNchE7EMhJE+KJW5gX8YP78dD4VbvdmnBC/Gv1954lyCrheQIG8kJg1AwKLt6k9LyOq7U1HP1WgPFV25y7HyVjyLu2J0XAGaT50LB86xiNikEmT3nZFuQyfMcbLpr3RrsWb5ze1f0aNy+2Ll9wXP7XOp2G7gN0N1uVEVBU2/3oqr/bCx1gx6d8Gtrazl//jzr168HYO7cubz00kvY7XYiIyM7tY+uSiZ/P3mVEx9Vd7q8okCQ2USwRfNcAFg0LCYVRVVQlX8+FMVTWNfdOF06Dt3A6dBpanHR0OLC4dTb7Nti1ojoE8TA6D5MHBlFRJ8gIsKC+ai01vN+Zg1Vu/vvzpo5Cv0ec2irqkJ9Q0u729r7t4bbc7va+iYnjc1Obt5qofVPQVE8rYjbFxzh4TZ2H74IQH1DC4Vny+/a17zUkYTaOr4PuKLQ4fZ7beuq7SHBZhSj/brzdWw9ud46u93WTv36S+w96b3b235n3RoY3s9he7JmjmLYoHCGDQq/63VdN6hvctDQ7OJGfQuNTS7Pucql43J5Ggaq6mlAACgqaOrt1nprUtYUzGaNf5ytQFVBRUFRFTA8iXB6wkCcTrenoeH2tP5dumffuu553em83TPwzx4Cl9vTKHG39ibouufZ4fScQ2vqmmlq0Wl2uDr8u28zmVQsJg1VVbznsNvnNADDuDuhA7haezSM1gT/IL6eMZbJcZ3LZ/dzv3ynGD14UuWzZ8/y/PPPs3v3bu9rTzzxBL/61a8YP368DyMTQggh/IuMyhBCCCECQI9O+DExMVRVVaHrnm5tXdeprq4mJibGx5EJIYQQ/qVHJ/x+/foRHx/Prl27ANi1axfx8fGd/v5eCCGEEB49+jt8gIsXL7JixQrq6uoICwtj9erVxMXF+TosIYQQwq/0+IQvhBBCiC+uR3fpCyGEEKJrSMIXQgghAoAkfCGEECIASMIXQgghAoAkfD+0c+dO5s2bx7hx49i0adM9y7711lvMnj2b9PR0Vq1ahdvd8e11hUdTUxPPPfccs2fPJjMzkwMHDrRbrrCwkMmTJ5OVlUVWVhbZ2dndHKn/KC0tZdGiRWRkZLBo0SLKysralNF1nRdffJH09HRmz57N1q1buz9QP9SZul2zZg1Tp071Hqsvvvhi9wfqh1avXk1aWhpjxozh448/breMXx23hvA7Fy5cMIqLi43ly5cbGzdu7LDcp59+aqSkpBi1tbWGrutGTk6OsX379m6M1D+tWbPG+MlPfmIYhmGUlpYa06ZNM+rr69uUO3bsmLFgwYLuDs8vLVmyxNixY4dhGIaxY8cOY8mSJW3KbN++3cjJyTF0XTdqa2uNlJQU4/Lly90dqt/pTN2+9tprxi9/+cvuDs3vHT9+3CgvLzcef/xx48KFC+2W8afjVlr4fmj06NGMHDkSVb33f997771Heno6kZGRqKpKdnY2eXl53RSl/9qzZw+LFi0CYNiwYUyYMIGDBw/6OCr/dXsSrLlz5wKeSbDOnz+P3W6/q1xeXh7Z2dmoqkpkZCTp6ens3bvXFyH7jc7WrXgwiYmJ972zqz8dt5Lwe7GKigpiY2O967GxsVRUVPgwIv9QXl7OwIEDvesxMTFUVla2W7asrIwFCxaQnZ3N9u3buytEv1JRUUF0dDSapgGgaRr9+/dvcyx+9ni9V70Lj87WLcDu3buZN28eOTk5nDx5srtD7bX86bjt0dPjBqoFCxZQXl7e7rYjR454P9ziwdyvfjtr/Pjx5Ofn06dPHy5fvsw3v/lNoqOjmTZtWleFKkSXWLx4Md/+9rcxm80UFBTwne98h7y8PCIiInwdmuhGkvB7oK5qKcbExNyV2MrLy2XiIe5fv7GxsVy9etU7Z0NFRQVTpkxpUy40NNS7PHjwYNLT0/nwww8l4X/GnZNgaZrW4SRYt4/XSZMmAW1bTqKtztZtVFSUdzk5OZmYmBiKi4tJSkrq7pB7HX86bqVLvxfLyMhg//792O123G43W7duZc6cOb4Oq8fLzMzkzTffBDxd9mfOnCElJaVNuerqaozWO1PfuHGDgoICxo4d262x+oPOToKVmZnJ1q1bcbvd2O129u/fT0ZGhi9C9hudrduqqirvclFREVevXmX48OHdGmtv5U/HrdxL3w/t2rWLV155hbq6OsxmM1arlddff52RI0fy6quv0r9/f55++mkAtmzZwp/+9CfAc2X/wgsvyFcC99HY2MiKFSsoKipCVVWWL19Oeno6wF31u2nTJjZv3ozJZELXdZ566imeeeYZH0ffM3U0CdayZcvIzc1l4sSJ6LrOqlWrKCgoAGDZsmXewZOiY52p2+eff55z586hqipms5nc3FxSU1N9HXqP9/LLL7Nv3z5qamqIiIggPDyc3bt3++1xKwlfCCGECADSpS+EEEIEAEn4QgghRACQhC+EEEIEAEn4QgghRACQhC+EEEIEAEn4QojP7d133yUnJ6fD7UuWLOmSWcMKCwuZMWPGF96PEELutCdEQEhLS6OmpgZN07DZbKSkpLBy5UpCQkIeaH/z589n/vz5XRylEOJfSVr4QgSIP/7xj5w8eZIdO3Zw/vx51q1b5+uQhBDdSBK+EAEmKiqK6dOnU1RUBMCpU6dYvHgxiYmJzJ8/n8LCQm/Zd955h1mzZpGQkEBaWhrvvvuu9/Xbd3MEKCgoIDMzk0cffZRVq1Zx5/281qxZw49+9CPv+pUrVxgzZgwulwuAt99+mzlz5pCQkMCsWbPYsmVLh7GvW7eOlJQUEhISyMjI4OjRo11TKUIEAOnSFyLAVFZWcujQIaZMmUJVVRXf+ta3eOWVV0hJSeHo0aPk5uayZ88egoODefnll9m2bRtxcXFUV1dz8+bNNvuz2+1873vf4xe/+AWzZs3ijTfeYMuWLWRlZXUqnn79+rF27VoGDx7M8ePHWbZsGRMnTmT8+PF3lSspKeGNN95g27ZtREdHc+XKFdxud5fUiRCBQFr4QgSI7373uyQkJJCamkpkZCS5ubns3LmTGTNmkJqaiqqqJCcnM2HCBPLz8wFQVZXi4mKam5vp378/o0aNarPfgwcPMmrUKDIzMzGbzSxdupSHHnqo03HNnDmTIUOGoCgKSUlJJCcnc+LEiTblNE3D4XBw8eJFnE4ngwYNYsiQIQ9eIUIEGEn4QgSI3/3ud5w8eZKNGzdSUlLC9evXKS8vZ+/evSQmJnofH3zwAdeuXcNms/Hb3/6WLVu2MH36dJ599lkuXrzYZr/V1dUMGDDAu64oyueahjk/P5+vfvWrJCUlkZiYyMGDB7l+/XqbckOHDuXHP/4xa9asYdq0afzgBz+4axY4IcS9ScIXIsAkJSWxcOFCVq9eTUxMDFlZWZw4ccL7OHXqFM8++ywAKSkprF+/nsOHDxMXF8fKlSvb7C8qKorKykrvumEYVFRUeNetVivNzc3e9ZqaGu+yw+EgNzeXnJwcCgoKOHHiBDNmzKCjOb3mzZvH5s2bOXDgAIqi8Otf//oL14cQgUISvhABaOnSpRw5coSEhAQOHDjAoUOH0HWdlpYWCgsLqayspKamhv3799PY2IjFYsFms6GqbU8ZqampFBcXs2/fPlwuFxs2bLgrqcfHx3P8+HHKy8u5desWa9eu9W5zOBw4HA4iIyMxmUzk5+d7pxn9rJKSEo4ePYrD4cBisRAUFNRuPEKI9smnRYgAFBkZSVZWFhs3buT3v/89a9euZerUqaSmpvLnP/8Zt9uN2+3mL3/5CykpKSQlJXH8+HF+/vOft7uvV199ld/85jdMmTKFS5cu8cgjj3i3Jycn88QTTzB//nwWLlzI448/7t0WGhrKT3/6U5577jkee+wxdu3aRVpaWrsxOxwO73tMnz4du93OD3/4wy6vGyF6K8XoqO9MCCGEEL2GtPCFEEKIACAJXwghhAgAkvCFEEKIACAJXwghhAgAkvCFEEKIACAJXwghhAgAkvCFEEKIACAJXwghhAgAkvCFEEKIAPD/iuqS3xh5O3UAAAAASUVORK5CYII=\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "All told, this distribution is reasonably normal. The only issues seem to be on the tails. Further evidence in favor of normality can be obtained by studying the QQ plot." ], "metadata": { "id": "c4_f3SDG4nws" } }, { "cell_type": "code", "source": [ "# import extra library for QQ plot\n", "import pylab\n", "\n", "plt.figure(figsize=(8,5))\n", "stats.probplot(model_perf['Residuals'],dist='norm',plot=pylab);" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 355 }, "id": "9qNTAnJc3aTK", "outputId": "e5700dd7-4eab-4a37-8225-7b3d6fff93c7" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Again, save for the tails, we find that the distribution is close to normal. Recall that a normal distribution will follow the diagonal of a QQ plot.\n", "\n", "But let's go further by running a Shapiro-Wilk test at a 5% level of significance. We make the following hypotheses:\n", "$$H_0: \\text{Residuals are normally distributed.}$$\n", "$$H_a: \\text{Residuals are NOT normally distributed.}$$" ], "metadata": { "id": "0LjzMN9c5cmy" } }, { "cell_type": "code", "source": [ "test_stat,p_val=stats.shapiro(model_perf['Residuals'])\n", "print('The p-value of the Shapiro-Wilk test for residuals is:',p_val)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "gKVx4NW76bzB", "outputId": "1d1fa33e-1dd5-4e18-dc8b-0dc9c26d95ca" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The p-value of the Shapiro-Wilk test for residuals is: 6.636463188267622e-21\n" ] } ] }, { "cell_type": "markdown", "source": [ "Unfortunately, the Shapiro-Wilk test implies the distribution of residuals is almost certainly not normal. Hence, while the distribution is not *technically* normal, it is approximately normal, as shown in the two plots. Put another way, we can use it for our purposes so long as we keep in mind its limitations and reliability." ], "metadata": { "id": "06IqfPaD7HEG" } }, { "cell_type": "markdown", "source": [ "### Homoscedasticity" ], "metadata": { "id": "RmTlUZPs7y8T" } }, { "cell_type": "markdown", "source": [ "Homoscedasticity concerns the variance of residuals. We require that the variance of residuals remain consistent throughout the data.\n", "\n", "We will run the Goldfeld-Quandt test, a hypothesis test for homoscedasticity. We make the assumption that the residuals are homoscedastic, with the alternative being that they are heteroscedastic.\n", "$$H_0: \\text{Residuals are homoscedastic.}$$\n", "$$H_a: \\text{Residuals are heteroscedastic.}$$\n", "We will assume a 5% level of significance." ], "metadata": { "id": "CWOI_uyt7-Tt" } }, { "cell_type": "code", "source": [ "# homoscedasticity test\n", "test=statsmodels.stats.diagnostic.het_goldfeldquandt(model_perf['Residuals'],X_train)\n", "print('The p-value for the Goldfeld-Quandt test is:',test[1])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "qvx1fLE9OpfL", "outputId": "e3aca25a-b31b-4c34-aabc-2a4e91942a1d" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The p-value for the Goldfeld-Quandt test is: 0.24735380493522216\n" ] } ] }, { "cell_type": "markdown", "source": [ "Since the p-value is greater than 0.05, we can safely conclude that the residuals are homoscedastic." ], "metadata": { "id": "3pC5Lr01TlfD" } }, { "cell_type": "markdown", "metadata": { "id": "jRYSDgFZMKtm" }, "source": [ "## Final Model" ] }, { "cell_type": "code", "source": [ "# drop required columns from test data\n", "X_test=X_test.drop(dropped_cols,axis=1)" ], "metadata": { "id": "TWHJ876hXm0Q" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# generate predicted y values with model\n", "y_predicted=model.predict(X_test)" ], "metadata": { "id": "T1Rx2u5nYA97" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "from sklearn.metrics import mean_squared_error, mean_absolute_error" ], "metadata": { "id": "cYObUgMhZFPg" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "print('The RMSE on the training data is:',\n", " np.sqrt(mean_squared_error(y_train,model_perf['Fitted'])))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "v4P8Mq1OYt7v", "outputId": "55f5f401-def8-4e24-ba12-2cee13e6d109" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The RMSE on the training data is: 0.23135627303854692\n" ] } ] }, { "cell_type": "code", "source": [ "print('The RMSE on the test data is:',\n", " np.sqrt(mean_squared_error(y_test,y_predicted)))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "zOMhoFisZwp2", "outputId": "390b39b3-3805-4975-f4b0-8592f5c7a89e" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The RMSE on the test data is: 0.2344360049678886\n" ] } ] }, { "cell_type": "markdown", "source": [ "The RMSE is low for both the training data and the test data. What's more, the numbers are almost equal, which implies overfitting is not an issue for our model." ], "metadata": { "id": "7vXNZjggaCjS" } }, { "cell_type": "code", "source": [ "print('The mean absolute error for the training data is:',\n", " mean_absolute_error(y_train,model_perf['Fitted']))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Awav7T6vamB5", "outputId": "c7d379dc-af5b-4071-a46e-4973a5ba5dc0" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The mean absolute error for the training data is: 0.18154048705559045\n" ] } ] }, { "cell_type": "code", "source": [ "print('The mean absolute error for the test data is:',\n", " mean_absolute_error(y_test,y_predicted))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "JJH6wyIJaz4Y", "outputId": "8c360005-c587-4093-8873-1091f7a24dcd" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The mean absolute error for the test data is: 0.18160092038083928\n" ] } ] }, { "cell_type": "markdown", "source": [ "Again, the values for the training data and the test data are quite close. The low mean absolute error for the test data indicates that the average error commited by the model in predicting normalized_used_price is only 0.18€.\n", "\n", "We conclude that this is a strong model that performs well on out-of-sample data." ], "metadata": { "id": "7wUYOvmBa-R8" } }, { "cell_type": "markdown", "metadata": { "id": "2BkZh6eHluZK" }, "source": [ "## Actionable Insights and Recommendations " ] }, { "cell_type": "markdown", "source": [ "For reference, the model parameters are listed below. We can use these to draw business conclusions." ], "metadata": { "id": "S_4boyrUdQ9h" } }, { "cell_type": "code", "source": [ "model.params" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "h1QVIWgHdRwu", "outputId": "1de52c3a-1f2c-4837-a7af-c841c8241cac" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "const 1.300184\n", "screen_size 0.042756\n", "main_camera_mp 0.020663\n", "selfie_camera_mp 0.013775\n", "int_memory 0.000137\n", "ram 0.014610\n", "normalized_new_price 0.418463\n", "battery_by_weight -0.004308\n", "brand_name_Alcatel -0.017111\n", "brand_name_Apple -0.020045\n", "brand_name_Asus 0.032903\n", "brand_name_BlackBerry 0.082250\n", "brand_name_Celkon -0.291263\n", "brand_name_Coolpad 0.008939\n", "brand_name_Gionee 0.012789\n", "brand_name_Google 0.043397\n", "brand_name_HTC -0.007726\n", "brand_name_Honor 0.009408\n", "brand_name_Huawei -0.024759\n", "brand_name_Infinix 0.324816\n", "brand_name_Karbonn 0.008970\n", "brand_name_LG -0.035735\n", "brand_name_Lava -0.007912\n", "brand_name_Lenovo 0.023106\n", "brand_name_Meizu -0.023462\n", "brand_name_Micromax -0.021357\n", "brand_name_Microsoft 0.024526\n", "brand_name_Motorola -0.066186\n", "brand_name_Nokia 0.059966\n", "brand_name_OnePlus 0.002819\n", "brand_name_Oppo 0.009788\n", "brand_name_Panasonic -0.010076\n", "brand_name_Realme 0.008064\n", "brand_name_Samsung -0.030627\n", "brand_name_Sony -0.067437\n", "brand_name_Spice -0.023866\n", "brand_name_Vivo -0.030908\n", "brand_name_XOLO -0.064353\n", "brand_name_Xiaomi 0.075372\n", "brand_name_ZTE -0.021065\n", "4g_yes 0.069481\n", "age_old -0.046131\n", "dtype: float64" ] }, "metadata": {}, "execution_count": 108 } ] }, { "cell_type": "markdown", "metadata": { "id": "Mh_zkgqs4rqN" }, "source": [ "Model Insights\n", "* We saw a strong positive correlation between normalized_new_price and normalized_used_price in the correlation heatmap. This is reflected in the linear model parameters, which shows that for every 1€ increase in new price, there is an increase in the used price of 0.418€.\n", "* Every centimeter increase in screen size adds 0.043€ to the used price.\n", "* Main camera resolution has a greater impact on used price than selfie camera resolution.\n", "* Devices released before 2017 will sell for less on Mobile Market.\n", "* 4G connectivity contributes positively to the price, adding 0.069€.\n", "* Every GB increase in internal memory has less impact on price than every GB increase in RAM. This is because phones have much more internal memory than RAM, so each additional GB of RAM is a greater percentage increase in the total amount. (Going from 2GB to 3GB of RAM is a 50% increase, whereas going from 64GB to 65GB of internal memory is only a 1.6% increase. There is a far wider range of values for internal memory than RAM.)\n", "* Infinix brand devices command a higher used price, adding 0.325€ on top of the total generated by the device specifications.\n", "* On the other hand, the Celkon brand has a lower used price, taking away 0.291€ from the total generated by the device specifications.\n", "\n", "Mobile Market Recommendations\n", "* The best predictor of used price is the new price of the same device. If Mobile Market wanted to drive higher prices, they should focus on re-selling phones with higher prices when new.\n", "* Devices with larger screens sell for a higher price too, so concentrating on large-format smart phones and tablets, which have become more popular in recent years, would help Mobile Market garner higher prices.\n", "* Premium brands seem to sell for *less* used. This is likely because premium devices are updated yearly, with older models becoming outdated trends. With all the new features introduced each year, oulder models are immediately less desirable. Mobile Market could distinguish itself in the market by offering premium phones for less, as brands like Apple, Huawei, Motorola, and Samsung actually reduce the price of the device.\n", "* Mobile Market could also boost the price of devices by offering phones with larger screens, higher resolution cameras, and lots of RAM." ] }, { "cell_type": "markdown", "metadata": { "id": "bWXXovuh4rqN" }, "source": [ "___" ] } ], "metadata": { "colab": { "collapsed_sections": [ "RA_GXJwuhmVz" ], "provenance": [], "include_colab_link": true }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 0 }