{ "cells": [ { "cell_type": "markdown", "id": "57d33512", "metadata": {}, "source": [ "# Lesson 11 activity solution\n", "\n", "**Note**: we're not done yet! These plots fulfill the requirements, but in many cases we can do a lot better!\n", "\n", "## Problem statement:\n", "Analyze the housing dataset using various types of plots to gain insights into the data.\n", "\n", "Housing sales dataset avalible here: [housing_data.csv](https://media.githubusercontent.com/media/gperdrizet/fullstack-2605/refs/heads/main/data/housing_data.csv)\n", "\n", "## Steps to perform:\n", "1. Create a line plot to visualize the trend of house prices over the years.\n", "2. Use a scatter plot to visualize the relationship between two numerical variables, such as `LotArea` and `SalePrice`.\n", "3. Create a bar chart to show the count of houses in each `Neighborhood`.\n", "4. Use a box plot to visualize the distribution of `SalePrice` in each `Neighborhood`.\n", "5. Create a pie chart to visualize the proportion of houses that fall into each `MSZoning` category.\n", "6. Use a 3D scatter plot to visualize `LotArea`, `OverallQual`, and `SalePrice` together." ] }, { "cell_type": "code", "execution_count": 41, "id": "85728eb5", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib.ticker import FuncFormatter\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns" ] }, { "cell_type": "markdown", "id": "05c072d6", "metadata": {}, "source": [ "## Load the dataset" ] }, { "cell_type": "code", "execution_count": 42, "id": "3d78949f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Unnamed: 0MSSubClassMSZoningLotFrontageLotAreaStreetAlleyLotShapeLandContourUtilities...PoolAreaPoolQCFenceMiscFeatureMiscValMoSoldYrSoldSaleTypeSaleConditionSalePrice
00SC60RL65.08450PaveNaNRegLvlAllPub...0NoNoNo0Feb2008WDNormal208500
11SC20RL80.09600PaveNaNRegLvlAllPub...0NoNoNo0May2007WDNormal181500
22SC60RL68.011250PaveNaNIR1LvlAllPub...0NoNoNo0Sep2008WDNormal223500
33SC70RL60.09550PaveNaNIR1LvlAllPub...0NoNoNo0Feb2006WDAbnorml140000
44SC60RL84.014260PaveNaNIR1LvlAllPub...0NoNoNo0Dec2008WDNormal250000
\n", "

5 rows × 81 columns

\n", "
" ], "text/plain": [ " Unnamed: 0 MSSubClass MSZoning LotFrontage LotArea Street Alley LotShape \\\n", "0 0 SC60 RL 65.0 8450 Pave NaN Reg \n", "1 1 SC20 RL 80.0 9600 Pave NaN Reg \n", "2 2 SC60 RL 68.0 11250 Pave NaN IR1 \n", "3 3 SC70 RL 60.0 9550 Pave NaN IR1 \n", "4 4 SC60 RL 84.0 14260 Pave NaN IR1 \n", "\n", " LandContour Utilities ... PoolArea PoolQC Fence MiscFeature MiscVal MoSold \\\n", "0 Lvl AllPub ... 0 No No No 0 Feb \n", "1 Lvl AllPub ... 0 No No No 0 May \n", "2 Lvl AllPub ... 0 No No No 0 Sep \n", "3 Lvl AllPub ... 0 No No No 0 Feb \n", "4 Lvl AllPub ... 0 No No No 0 Dec \n", "\n", " YrSold SaleType SaleCondition SalePrice \n", "0 2008 WD Normal 208500 \n", "1 2007 WD Normal 181500 \n", "2 2008 WD Normal 223500 \n", "3 2006 WD Abnorml 140000 \n", "4 2008 WD Normal 250000 \n", "\n", "[5 rows x 81 columns]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "url = 'https://media.githubusercontent.com/media/gperdrizet/fullstack-2605/refs/heads/main/data/housing_data.csv'\n", "df = pd.read_csv(url)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 43, "id": "5831ab93", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 1460 entries, 0 to 1459\n", "Data columns (total 81 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Unnamed: 0 1460 non-null int64 \n", " 1 MSSubClass 1460 non-null str \n", " 2 MSZoning 1460 non-null str \n", " 3 LotFrontage 1460 non-null float64\n", " 4 LotArea 1460 non-null int64 \n", " 5 Street 1460 non-null str \n", " 6 Alley 91 non-null str \n", " 7 LotShape 1460 non-null str \n", " 8 LandContour 1460 non-null str \n", " 9 Utilities 1460 non-null str \n", " 10 LotConfig 1460 non-null str \n", " 11 LandSlope 1460 non-null str \n", " 12 Neighborhood 1460 non-null str \n", " 13 Condition1 1460 non-null str \n", " 14 Condition2 1460 non-null str \n", " 15 BldgType 1460 non-null str \n", " 16 HouseStyle 1460 non-null str \n", " 17 OverallQual 1460 non-null int64 \n", " 18 OverallCond 1460 non-null int64 \n", " 19 YearBuilt 1460 non-null int64 \n", " 20 YearRemodAdd 1460 non-null int64 \n", " 21 RoofStyle 1460 non-null str \n", " 22 RoofMatl 1460 non-null str \n", " 23 Exterior1st 1460 non-null str \n", " 24 Exterior2nd 1460 non-null str \n", " 25 MasVnrType 588 non-null str \n", " 26 MasVnrArea 1460 non-null float64\n", " 27 ExterQual 1460 non-null str \n", " 28 ExterCond 1460 non-null str \n", " 29 Foundation 1460 non-null str \n", " 30 BsmtQual 1460 non-null str \n", " 31 BsmtCond 1460 non-null str \n", " 32 BsmtExposure 1460 non-null str \n", " 33 BsmtFinType1 1460 non-null str \n", " 34 BsmtFinSF1 1460 non-null int64 \n", " 35 BsmtFinType2 1460 non-null str \n", " 36 BsmtFinSF2 1460 non-null int64 \n", " 37 BsmtUnfSF 1460 non-null int64 \n", " 38 TotalBsmtSF 1460 non-null int64 \n", " 39 Heating 1460 non-null str \n", " 40 HeatingQC 1460 non-null str \n", " 41 CentralAir 1460 non-null str \n", " 42 Electrical 1459 non-null str \n", " 43 1stFlrSF 1460 non-null int64 \n", " 44 2ndFlrSF 1460 non-null int64 \n", " 45 LowQualFinSF 1460 non-null int64 \n", " 46 GrLivArea 1460 non-null int64 \n", " 47 BsmtFullBath 1460 non-null int64 \n", " 48 BsmtHalfBath 1460 non-null int64 \n", " 49 FullBath 1460 non-null int64 \n", " 50 HalfBath 1460 non-null int64 \n", " 51 BedroomAbvGr 1460 non-null int64 \n", " 52 KitchenAbvGr 1460 non-null int64 \n", " 53 KitchenQual 1460 non-null str \n", " 54 TotRmsAbvGrd 1460 non-null int64 \n", " 55 Functional 1460 non-null str \n", " 56 Fireplaces 1460 non-null int64 \n", " 57 FireplaceQu 1460 non-null str \n", " 58 GarageType 1460 non-null str \n", " 59 GarageYrBlt 1379 non-null float64\n", " 60 GarageFinish 1460 non-null str \n", " 61 GarageCars 1460 non-null int64 \n", " 62 GarageArea 1460 non-null int64 \n", " 63 GarageQual 1460 non-null str \n", " 64 GarageCond 1460 non-null str \n", " 65 PavedDrive 1460 non-null str \n", " 66 WoodDeckSF 1460 non-null int64 \n", " 67 OpenPorchSF 1460 non-null int64 \n", " 68 EnclosedPorch 1460 non-null int64 \n", " 69 3SsnPorch 1460 non-null int64 \n", " 70 ScreenPorch 1460 non-null int64 \n", " 71 PoolArea 1460 non-null int64 \n", " 72 PoolQC 1460 non-null str \n", " 73 Fence 1460 non-null str \n", " 74 MiscFeature 1460 non-null str \n", " 75 MiscVal 1460 non-null int64 \n", " 76 MoSold 1460 non-null str \n", " 77 YrSold 1460 non-null int64 \n", " 78 SaleType 1460 non-null str \n", " 79 SaleCondition 1460 non-null str \n", " 80 SalePrice 1460 non-null int64 \n", "dtypes: float64(3), int64(33), str(45)\n", "memory usage: 924.0 KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "markdown", "id": "d14eab90", "metadata": {}, "source": [ "## 1. House price trends over time" ] }, { "cell_type": "code", "execution_count": 44, "id": "f6df3fb1", "metadata": {}, "outputs": [], "source": [ "# Convert sale year to string so we can handle it as a categorical variable\n", "df['YrSold'] = df['YrSold'].astype(str)" ] }, { "cell_type": "markdown", "id": "d277b78f", "metadata": {}, "source": [ "### 1.1. Matplotlib line plot" ] }, { "cell_type": "code", "execution_count": 46, "id": "ea5835b9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Group by year and calculate median price\n", "yearly_prices = df.groupby('YrSold')['SalePrice'].mean().sort_index()\n", "yearly_std = df.groupby('YrSold')['SalePrice'].std().sort_index()\n", "\n", "# Create line plot\n", "plt.title('Mean sale price by year')\n", "plt.errorbar(\n", " yearly_prices.index,\n", " yearly_prices.values,\n", " yerr=yearly_std.values,\n", " c='grey',\n", " linestyle='',\n", " ecolor='grey',\n", " capsize=5,\n", " label='Standard deviation'\n", ")\n", "plt.plot(yearly_prices.index, yearly_prices.values, marker='o', label='Mean')\n", "\n", "plt.xlabel('Year sold')\n", "plt.ylabel('Mean sale price ($1000s)')\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ddf4849b", "metadata": {}, "source": [ "### 1.2. Seaborn line plot" ] }, { "cell_type": "code", "execution_count": 6, "id": "0c60ce78", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lineplot(data=df, x='YrSold', y='SalePrice')\n", "plt.title('Sale price by year\\n(median + 95% confidence interval)')\n", "plt.ylabel('Sale price ($1000s)')\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1901b3a8", "metadata": {}, "source": [ "### 1.3. Seaborn boxplot" ] }, { "cell_type": "code", "execution_count": 7, "id": "4c2a6f3c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.boxplot(data=df, x='YrSold', y='SalePrice')\n", "plt.title('Sale price by year')\n", "plt.ylabel('Sale price ($1000s)')\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2b55e515", "metadata": {}, "source": [ "## 2. LotArea vs SalePrice\n", "\n", "### 2.1. Matplotlib scatter plot" ] }, { "cell_type": "code", "execution_count": 8, "id": "067eee05", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create scatter plot\n", "plt.title('Relationship between lot area and sale price')\n", "plt.scatter(df['LotArea'], df['SalePrice'], s=5, alpha=0.25, color='black')\n", "plt.xlabel('Lot area (1000 sq ft)')\n", "plt.ylabel('Sale price ($1000s)')\n", "plt.gca().xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "de2f660d", "metadata": {}, "source": [ "### 2.2. Matplotlib scaled scatter plot" ] }, { "cell_type": "code", "execution_count": 9, "id": "d18fc054", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create scatter plot\n", "plt.title('Relationship between lot area and sale price')\n", "plt.scatter(df['LotArea'], df['SalePrice'], s=5, color='black')\n", "plt.xlabel('Lot area (1000 sq ft)')\n", "plt.ylabel('Sale price ($1000s)')\n", "plt.xlim(0, 50000)\n", "plt.ylim(0, 500000)\n", "plt.gca().xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c007b223", "metadata": {}, "source": [ "### 2.3. Matplotlib log-log scatter plot" ] }, { "cell_type": "code", "execution_count": 10, "id": "179b10ad", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create scatter plot\n", "plt.title('Relationship between lot area and sale price')\n", "plt.scatter(df['LotArea'], df['SalePrice'], s=3, color='black')\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('Lot area (1000 sq ft)')\n", "plt.ylabel('Sale price ($1000s)')\n", "plt.gca().xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.1f}'))\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3e87b466", "metadata": {}, "source": [ "### 2.4. Seaborn scatter plot with marginal histograms" ] }, { "cell_type": "code", "execution_count": 11, "id": "ba489e94", "metadata": {}, "outputs": [ { "data": { "image/png": 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uhoYGPPHEE/joo486tL+z9/iQIUOCfi8pKYEgCJ2+PwAEDXWeyufJ7/fjxRdfxCuvvIKDBw8GBQLx8fEdjj/Zez3wReT4disUiqBgtSu//vWv8Y9//AO//e1v8eCDD2Lq1KmYPXs2rrrqqqAg47333sNf/vIXFBcXB33ROf51bK+2thZNTU1444038MYbb3R6zPF/q86E8pk9UXsCysrKIJVKkZub2+Uxgc/xRRdd1Ol+o9F40ueh3ouBVB907rnnirP2Zs2ahUmTJmH+/PnYt28f9Hq9+E3x3nvvRUFBQafnyMrK6nS7z+fDxRdfjIaGBjzwwAMYPnw4dDodjh49ihtuuOGkvSM9RSaTdbpd+P/zGALFLjdt2oSVK1fi22+/xU033YS//OUv2LRpE/R6fbfPFU2B1/NPf/pTl7kj7a+lK5MmTcLTTz8Np9OJ9evX4w9/+ANiYmIwcuRIrF+/Xsy1ax9I+f1+XHzxxbj//vs7PWdOTo54XFJSEj788MNOjzs+EOvNr3fA3Llz8fPPP+O+++6D2WwWPze/+tWvOn2Pt+9VAo69JoHE/c6uN/A3O9XP0zPPPINHHnkEN910E5588knExcVBKpXirrvu6vSxkX7tNRoN1q1bhzVr1uDLL7/EN998g3//+9+46KKL8N1330Emk+GDDz7ADTfcgFmzZuG+++5DUlISZDIZli5d2mFCTHuB6/nNb37T5ReL0aNH98h1tL+enhBo+z//+c9Ov1xxFuCZjX+9Pi7wD9SFF16Iv//973jwwQfFb5YKhQLTpk0L6Xy7du3C/v378d5772HBggXi9lWrVnU4trvVfxMTE6HVarFv374O+4qLiyGVSk+a5NqVCRMmYMKECXj66aexbNkyXHvttfjoo4/w29/+NqzzHS/wTbO9/fv3Q6vVdtmTc6LHC4KA0tJS8YaQmZkJ4Ng31pP9rU70ek+ePBlutxv/+te/cPToUTFgmjJlihhI5eTkBE1eyMzMRFtb20mfNzMzE6tXr8Z5553XYzee7gjlfRNKJerGxkZ8//33eOKJJ/Doo4+K2zv7W3clMzMTgiBgyJAhYsDZmVA+T5355JNPcOGFF+Ktt94K2t7U1CROOAhFRkYGgGPX2r73xOPx4ODBgxgzZsxJzyGVSjF16lRMnToVf/3rX/HMM8/gD3/4A9asWYNp06bhk08+wdChQ7FixYqgv8tjjz12wvMmJibCYDDA5/OF/O9We6f6mT1eZmYm/H4/ioqKuvyyE/gcJyUlnVLbqXdijlQ/cMEFF+Dcc8/FCy+8AKfTiaSkJFxwwQV4/fXXUVVV1eH448sItBf4Rtv+G6wgCHjxxRc7HBuopXOy2YgymQzTp0/HZ599FlQw0Wq1YtmyZZg0aVLIXd+NjY0dvmUH/pFzuVwhnetENm7cGJSXUV5ejs8++wzTp0/v8tt/e++//z5aW1vF3z/55BNUVVVhxowZAIBx48YhMzMTf/7zn9HW1tbh8e3/Vid6vcePHw+FQoFnn30WcXFx4nDX5MmTsWnTJqxduzaoNwo41iuzceNGfPvttx3O19TUBK/XKx7n8/nw5JNPdjjO6/VGrEBoKO+b7r4XA+cFOvbStJ+leDKzZ8+GTCbDE0880eE8giCIZRRC+Tx11dbjz798+fKwVzLIy8tDYmIiXnvtNbjdbnH7u+++263XrqGhocO24z93nV3z5s2bsXHjxhOeWyaTYc6cOfj000+xe/fuDvtP9O9We6f6mT3erFmzIJVKsWTJkg69gIFrLCgogNFoxDPPPNNpzmZ32069E3uk+on77rsPV199Nd5991383//9H15++WVMmjQJo0aNwi233IKhQ4fCarVi48aNqKio6FCHJmD48OHIzMzEvffei6NHj8JoNOLTTz/tNL8lkNB55513oqCgADKZDPPmzev0vE899ZRYf+Z3v/sd5HI5Xn/9dbhcLjz33HMhX+97772HV155BVdeeSUyMzPR2tqKN998E0ajEZdccknI5+vKyJEjUVBQEDSVGkCXFd2PFxcXh0mTJuHGG2+E1WrFCy+8gKysLNxyyy0Ajn27/8c//oEZM2bgrLPOwo033oi0tDQcPXoUa9asgdFoxMqVKwH87/X+wx/+gHnz5kGhUOCyyy6DTqeDVqvFuHHjsGnTJrGGFHCsR8pms8Fms3UIpO677z58/vnnuPTSS8XyBDabDbt27cInn3yCQ4cOISEhAeeffz5uu+02LF26FBaLBdOnT4dCoUBJSQmWL1+OF198EVdddVWPvN7H6+77xmw2QyaT4dlnn0VzczNUKhUuuuiiTvO6jEYjpkyZgueeew4ejwdpaWn47rvvcPDgwW63KzMzE0899RQWL16MQ4cOYdasWTAYDDh48CD+85//4NZbb8W9994b0uepM5deeimWLFmCG2+8ERMnTsSuXbvw4YcfdiufqTMKhQJPPfUUbrvtNlx00UX49a9/jYMHD+Kdd97p1jmXLFmCdevWYebMmcjIyEBNTQ1eeeUVDBw4UKzDdOmll2LFihW48sorMXPmTBw8eBCvvfYacnNzO/2y0N4f//hHrFmzBuPHj8ctt9yC3NxcNDQ0YNu2bVi9enWngdzxTvUze7ysrCz84Q9/wJNPPonJkydj9uzZUKlU+OWXX5CamoqlS5fCaDTi1VdfxXXXXYezzz4b8+bNQ2JiIo4cOYIvv/wS5513Hv7+97+H9fzUC5y+CYLUleLiYgGAsHTpUuHdd9/t1s/SpUsFAEJxcbF4nkBpgM6m/Pt8PiEzM1PIzMwUvF6vIAiCUFZWJixYsEBISUkRFAqFkJaWJlx66aXCJ598Ij6us/IHRUVFwrRp0wS9Xi8kJCQIt9xyi7Bjxw4BgPDOO++Ix3m9XuGOO+4QEhMTBYlEEjRlGMdNaxYEQdi2bZtQUFAg6PV6QavVChdeeKHw888/Bx3T1TUe385t27YJ11xzjTBo0CBBpVIJSUlJwqWXXho07TlQ/uBPf/pTh9fr+PZ1Vf5g4cKFwgcffCBkZ2cLKpVKGDt2bLem2Afa+69//UtYvHixkJSUJGg0GmHmzJmdTnnfvn27MHv2bCE+Pl5QqVRCRkaGMHfuXOH7778POu7JJ58U0tLSBKlU2qEUwn333ScAEJ599tmgx2RlZQkAgkoIBLS2tgqLFy8WsrKyBKVSKSQkJAgTJ04U/vznPwtutzvo2DfeeEMYN26coNFoBIPBIIwaNUq4//77hcrKSvGYjIwMYebMmR2e5/zzzz/p1HpBCP99IwiC8OabbwpDhw4VZDLZSUshVFRUCFdeeaUQExMjmEwm4eqrrxYqKyu7fF90Nd3/008/FSZNmiTodDpBp9MJw4cPFxYuXCjs27dPPKa7n6fOOJ1O4fe//70wYMAAQaPRCOedd56wcePGDq9n4P22fPnyoMcHPgPHP88rr7wiDBkyRFCpVEJeXp6wbt26bv2Nvv/+e+GKK64QUlNTBaVSKaSmpgrXXHNNUAkNv98vPPPMM0JGRob4mfniiy+E66+/XsjIyAg6X2d/b6vVKixcuFBIT08XFAqFkJKSIkydOlV44403Tti2wPm685k90d+1s38LBEEQ3n77bWHs2LGCSqUSYmNjhfPPP19YtWpV0DFr1qwRCgoKBJPJJKjVaiEzM1O44YYbgv5dojOPRBB6UYZnP7Vv3z4MHz4cS5cu7fasvaqqKixevBjFxcWdzlqiyJNIJFi4cCG/SRKdIfiZpUhgjhQRERFRmBhIEREREYWJgRQRERFRmDhrjyhMTC8kOrPwM0uRwB4pIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKkzzaDeiLrFYrmpqaun38gQMHItcYIiIiihgGUj3MarUiOzsbra2tIT/W4/FEoEVEREQUKQykelhTUxNaW1txzz33IDExsVuP2bdvH9599134fL4It46IiIh6EgOpCElMTMSAAQO6dWxtbW2EW0NERESRwGRzIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojAxkCIiIiIKEwMpIiIiojDJo90AOjUHDhwI6fiYmBgkJydHqDVERET9CwOpM1RrayskEgkuueSSkB5nMBhQUlLCYIqIiKgHMJA6QzmdTgiCgIULF2LgwIHdekxtbS3++te/oqmpiYEUERFRD2AgdYZLSEjAgAEDot0MIiKifonJ5kRERERhYo9UP8QEdSIiop7BQAqAIAhobW3tkXO1tbUBACoqKuB0Orv1mOrqagBAZWVlt58nnMccOXIEAEJOUNdqtfjPf/6D+Pj4kB5HRET/ExcX16P/jhoMBkgkkh47H4VHIgiCEO1GRFtLSwtMJlO0m0FERNRtzc3NMBqN0W5Gv8dACj3TI9XS0oL09HSUl5fzjR1hfK1PH77Wpxdf79OnL7zW7JHqHTi0B0AikfTYB8loNJ6xH8ozDV/r04ev9enF1/v04WtNp4qz9oiIiIjCxECKiIiIKEwMpHqISqXCY489BpVKFe2m9Hl8rU8fvtanF1/v04evNfUUJpsTERERhYk9UkRERERhYiBFREREFCYGUkRERERhYiBFREREFCYGUkRERERhYiBFREREFCYGUkRERERhYiCFY4sWt7S0gCW1iIioL+P9rucxkALQ2toKk8mE1tbWaDeFiIgoYni/63kMpIiIiIjCxECKiIiIKEwMpIiIiIjCxECKiIiIKEwMpIiIiIjCxECKiIiIKEwMpIiIiIjCxECKiIiIKEwMpIiIiIjCxECKiIiIKEwMpIiIiIjCxECKiIiIKEwMpIiIiIjCxECKiIiIKEwMpIiIiIjCxECKiIiIKEwMpIiIiIjCJI92AyiyvF4vLBYLbDYbdDodzGYz5HL+2YmIiHoCe6T6OIvFgtbWVgiCgNbWVlgslmg3iYiIosxqtUa7CX0GA6k+zmazQSKRAAAkEgnsdnuUW0RERNE2duxYVFdXR7sZfQIDqT5Op9NBEAQAgCAI0Gq1UW4RERFFm81mQ2NjY7Sb0ScwkOrjzGYzDAYDpFIpDAYDzGZztJtERETUZzDruI+Ty+XIy8uLdjOIiIj6JAZSZyDOxCMiIuodOLR3BuJMPCIiot6BgdQZiDPxiIiIegcGUmcgzsQjIiLqHRhInYE4E4+IiKh3YIbyGYgz8YiIiHoH9kgRERERhYmBFBEREVGYGEgRERERhYmBFBERUT+j1WoRGxsb7Wb0CQykiIiI+plPPvkEKSkp0W5Gn8BAioiIqJ9JSEiIdhP6DAZSRERERGFiIEVEREQUJgZSRERERGFiIEVEREQUJgZSRERERGFiIEVEREQUJgZSRERERGFiIEVEREQUJgZSRERERGFiIEVEREQUJgZSRERERGGKaiA1ePBgSCSSDj8LFy4EADidTixcuBDx8fHQ6/WYM2cOrFZr0DmOHDmCmTNnQqvVIikpCffddx+8Xm80LoeIiIj6magGUr/88guqqqrEn1WrVgEArr76agDA3XffjZUrV2L58uVYu3YtKisrMXv2bPHxPp8PM2fOhNvtxs8//4z33nsP7777Lh599NGoXA8RERH1LxJBEIRoNyLgrrvuwhdffIGSkhK0tLQgMTERy5Ytw1VXXQUAKC4uxogRI7Bx40ZMmDABX3/9NS699FJUVlYiOTkZAPDaa6/hgQceQG1tLZRKZafP43K54HK5xN9bWlqQnp6O5uZmGI3GyF8oERHRadDV/W7Lli0455xzotiyvqPX5Ei53W588MEHuOmmmyCRSLB161Z4PB5MmzZNPGb48OEYNGgQNm7cCADYuHEjRo0aJQZRAFBQUICWlhbs2bOny+daunQpTCaT+JOenh65CyMiIooS3u8ir9cEUv/973/R1NSEG264AQBQXV0NpVKJmJiYoOOSk5NRXV0tHtM+iArsD+zryuLFi9Hc3Cz+lJeX99yFEBER9RK830WePNoNCHjrrbcwY8YMpKamRvy5VCoVVCpVxJ+HiIgomni/i7xe0SN1+PBhrF69Gr/97W/FbSkpKXC73Whqago61mq1IiUlRTzm+Fl8gd8DxxARERFFSq8IpN555x0kJSVh5syZ4rZx48ZBoVDg+++/F7ft27cPR44cQX5+PgAgPz8fu3btQk1NjXjMqlWrYDQakZube/ougIiIiPqlqA/t+f1+vPPOO7j++ushl/+vOSaTCTfffDPuuecexMXFwWg04o477kB+fj4mTJgAAJg+fTpyc3Nx3XXX4bnnnkN1dTUefvhhLFy4kF2ZREREFHFRD6RWr16NI0eO4Kabbuqw7/nnn4dUKsWcOXPgcrlQUFCAV155Rdwvk8nwxRdf4Pbbb0d+fj50Oh2uv/56LFmy5HReAhEREfVTvaqOVLS0tLTAZDKxjhQREfVpgfsd60j1nF6RI0VERER0JmIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURERBQmBlJEREREYWIgRURE1M/U1dVFuwl9BgMpIiKifuaqq65CdXV1tJvRJzCQIiIi6mfsdjsaGxuj3Yw+gYEUERERUZgYSBERERGFSR7tBlDf4PV6YbFYYLPZoNPpYDabIZfz7UVERH0be6SoR1gsFrS2tkIQBLS2tsJisUS7SURERBHHQIp6hM1mg0QiAQBIJBLY7fYot4iIiCjyGEhRj9DpdBAEAQAgCAK0Wm2UW0RERBR5DKSoR5jNZhgMBkilUhgMBpjN5mg3iYiIKOKYDUw9Qi6XIy8vL9rNICIiOq3YI0VEREQUJvZI9XIsK0BERNR7sUeql2NZASIiot6LgVQvx7ICRETU07RaLWJjY6PdjD6BgVQvx7ICRETU0z755BOkpKREuxl9AgOpXo5lBYiIqKclJCREuwl9RtQDqaNHj+I3v/kN4uPjodFoMGrUKBQWFor7BUHAo48+igEDBkCj0WDatGkoKSkJOkdDQwOuvfZaGI1GxMTE4Oabb0ZbW9vpvpSICJQVmDJlCvLy8phoTkRE1ItENZBqbGzEeeedB4VCga+//hpFRUX4y1/+EjRu+9xzz+Gll17Ca6+9hs2bN0On06GgoABOp1M85tprr8WePXuwatUqfPHFF1i3bh1uvfXWaFwSERER9SMSIZCAEwUPPvggNmzYgPXr13e6XxAEpKam4ve//z3uvfdeAEBzczOSk5Px7rvvYt68edi7dy9yc3Pxyy+/iAUhv/nmG1xyySWoqKhAamrqSdvR0tICk8mE5uZmGI3GnrtAIiKiXiRwv9uyZQvOOeecaDenT4hqj9Tnn3+OvLw8XH311UhKSsLYsWPx5ptvivsPHjyI6upqTJs2TdxmMpkwfvx4bNy4EQCwceNGxMTEBFXVnjZtGqRSKTZv3tzp87pcLrS0tAT9EBER9TW830VeVAOpAwcO4NVXX0V2dja+/fZb3H777bjzzjvx3nvvAQCqq6sBAMnJyUGPS05OFvdVV1cjKSkpaL9cLkdcXJx4zPGWLl0Kk8kk/qSnp/f0pREREUUd73eRF9VAyu/34+yzz8YzzzyDsWPH4tZbb8Utt9yC1157LaLPu3jxYjQ3N4s/5eXlEX0+IiKiaOD9LvKiGkgNGDAAubm5QdtGjBiBI0eOAIBY48JqtQYdY7VaxX0pKSmoqakJ2u/1etHQ0NBljQyVSgWj0Rj0Q0RE1Nfwfhd5UQ2kzjvvPOzbty9o2/79+5GRkQEAGDJkCFJSUvD999+L+1taWrB582bk5+cDAPLz89HU1IStW7eKx/zwww/w+/0YP378abgKIiIi6q+iWpTo7rvvxsSJE/HMM89g7ty52LJlC9544w288cYbAI4tiXLXXXfhqaeeQnZ2NoYMGYJHHnkEqampmDVrFoBjPVi/+tWvxCFBj8eDRYsWYd68ed2asUdEREQUrqgGUueccw7+85//YPHixViyZAmGDBmCF154Addee614zP333w+bzYZbb70VTU1NmDRpEr755huo1WrxmA8//BCLFi3C1KlTIZVKMWfOHLz00kvRuCQiIiLqR6JaR6q3YB0pIiLqDwL3u6+++gozZsyIdnP6BK43cobwer2wWCyw2WzQ6XQwm81cLoaIiMJy1VVXoaysjAsX94Cor7VH3WOxWNDa2gpBENDa2gqLxRLtJhER0RnKbrejsbEx2s3oExhInSFsNhskEgmAY0n4drs9yi0iIiIiBlJnCJ1Oh0A6myAI0Gq1UW4RERERMZA6Q5jNZhgMBkilUhgMBpjN5mg3iYiIqN9jtvIZQi6XBy3MTERERNHHHikiIiKiMDGQIiIiIgoTAykiIiKiMDGQIiIiIgoTAykiIiKiMDGQIiIiIgoTAykiIiKiMDGQIiIi6oc8Hk+0m9AnsCDnGcrr9cJiscBms0Gn08FsNkMu55+TiIi6R6FQRLsJfQLvvGcgr9eLZcuWob6+HlqtFpmZmbBYLKx8TkREdJpxaO8MZLFYUF9fD4lEArvdjrKyMtjt9mg3i4iIqN9hIHUGstls0Gq1EAQBEokEDocDWq022s0iIiLqdxhInYF0Oh0yMzPF4CkuLg5mszm6jSIiIuqHmCN1BjKbzbBYLBgxYgS0Wi0TzYmIiKKEd98zkFwuZ2I5ERFRL8ChPSIiIqIwMZAiIiIiChMDKSIiIqIwMZAiIiIiChOTzanP4LI5RER0urFHivoMi8WC1tZWCIKA1tZWWCyWaDeJiKjX4qLFPYOBFPUZNpsNEokEAMTlc4iIqHNctLhnMJCiPkOn00EQBACAIAhcNoeIiCKOgRT1GWazGQaDAVKpFAaDgcvmEBFRxDETl/oMVnwnIqLTjT1SRERERGFiIEVEREQUJgZSRERERGFiIEVEREQUJgZSRERERGFiIEVEREQUJgZSRERERGFiIEVEREQUJgZSRERE/RAXLe4ZDKSIiIj6IS5a3DNCWiJm7969+Oijj7B+/XocPnwYdrsdiYmJGDt2LAoKCjBnzhyoVKpItZWIiIioV+lWj9S2bdswbdo0jB07Fj/99BPGjx+Pu+66C08++SR+85vfQBAE/OEPf0BqaiqeffZZuFyuSLebiIiIKOq61SM1Z84c3Hffffjkk08QExPT5XEbN27Eiy++iL/85S946KGHeqqNRERERL1St3qk9u/fj9/97ncnDKIAID8/Hx999BHuu+++bj35448/DolEEvQzfPhwcb/T6cTChQsRHx8PvV6POXPmwGq1Bp3jyJEjmDlzJrRaLZKSknDffffB6/V26/mJiIiITkW3eqROlpDW1NQUFGSFksB21llnYfXq1f9rkPx/Tbr77rvx5ZdfYvny5TCZTFi0aBFmz56NDRs2AAB8Ph9mzpyJlJQU/Pzzz6iqqsKCBQugUCjwzDPPdLsNZzqv1wuLxQKbzQadTgez2Rz0OhIREVFkhDxr79lnn8W///1v8fe5c+ciPj4eaWlp2LFjR8gNkMvlSElJEX8SEhIAAM3NzXjrrbfw17/+FRdddBHGjRuHd955Bz///DM2bdoEAPjuu+9QVFSEDz74AGazGTNmzMCTTz6Jl19+GW63O+S2nKksFgtaW1shCAJaW1thsVii3SQiIqJ+IeRA6rXXXkN6ejoAYNWqVVi1ahW+/vprzJgxo9tDeu2VlJQgNTUVQ4cOxbXXXosjR44AALZu3QqPx4Np06aJxw4fPhyDBg3Cxo0bARzLyRo1ahSSk5PFYwoKCtDS0oI9e/Z0+ZwulwstLS1BP2cym80GiUQCAJBIJLDb7VFuERER9QZ97X7XG4UcSFVXV4uB1BdffIG5c+di+vTpuP/++/HLL7+EdK7x48fj3XffxTfffINXX30VBw8exOTJk9Ha2orq6moolcoOeVnJycmorq4W29I+iArsD+zrytKlS2EymcSfwPWcqXQ6HQRBAAAIggCtVhvlFhERUW/Q1+53vVHIgVRsbCzKy8sBAN98843YYyQIAnw+X0jnmjFjBq6++mqMHj0aBQUF+Oqrr9DU1ISPP/441GaFZPHixWhubhZ/AtdzpjKbzTAYDJBKpTAYDDCbzdFuEhER9QJ97X7XG4WckTx79mzMnz8f2dnZqK+vx4wZMwAA27dvR1ZW1ik1JiYmBjk5OSgtLcXFF18Mt9vdIZHdarUiJSUFAJCSkoItW7YEnSMwqy9wTGdUKlWfKhwql8uRl5cX7WYQEVEv09fud71RyD1Szz//PBYtWoTc3FysWrUKer0eAFBVVYXf/e53p9SYtrY2lJWVYcCAARg3bhwUCgW+//57cf++fftw5MgR5OfnAzhWbmHXrl2oqakRj1m1ahWMRiNyc3NPqS1EREREJyMRAsk1UXDvvffisssuQ0ZGBiorK/HYY4/BYrGgqKgIiYmJuP322/HVV1/h3XffhdFoxB133AEA+PnnnwEcK39gNpuRmpqK5557DtXV1bjuuuvw29/+NqTyBy0tLTCZTGhubobRaIzItRIREUVb4H4HAEVFRRgxYkSUW3TmC2loz+1247///S82btwoJnOnpKRg4sSJuOKKK6BUKkN68oqKClxzzTWor69HYmIiJk2ahE2bNiExMRHAsd4vqVSKOXPmwOVyoaCgAK+88or4eJlMhi+++AK333478vPzodPpcP3112PJkiUhtYOIiKi/8Xg80W5Cn9DtHqnS0lIUFBSgsrIS48ePF2fHWa1WbN68GWlpafjmm29OOU8qGs6EHikW3SQiolPFHqme1+078e23345Ro0Zh+/btHYKNlpYWLFiwAAsXLsS3337b442k/xXdlEgkYtFNJpgTERFFV7cDqQ0bNmDLli2d9tgYjUY8+eSTGD9+fI82jv6HRTeJiIh6n27P2ouJicGhQ4e63H/o0KGTLmpM4WPRTSIiot6n24HUb3/7WyxYsADPP/88du7cCavVCqvVip07d+L555/HDTfcgFtvvTWSbe3XWHSTiIio9wmp/MGzzz6LF198EdXV1eIwkyAISElJwV133YX7778/Yg2NpDMh2bwnMGGdiKh/Y7J5zwurjtSBAweCKogPGTKkxxt2OvWXQKqwsFBMWBcEAQaDgQnrRET9CAOpnhdWd8TQoUMxdOjQnm4LRRgT1omIiHpWSEvEFBUV4Xe/+x3Gjh2LAQMGYMCAARg7dix+97vfoaioKFJtpB7ChHUiIqKe1e0eqa+//hqzZs3C2WefjSuuuCKoIOeqVatw9tln47PPPkNBQUHEGkunxmw2w2KxwG63Q6vVMmGdiIjoFHU7R2rMmDG44oorulx+5fHHH8eKFSuwc+fOHm3g6dAbc6SYGE5ERD2NOVI9r9uBlEajgcViwbBhwzrdv2/fPpjNZjgcjh5t4OnQGwOp4xPDtVotZDIZAysiIgobA6me1+0cqcGDB+PLL7/scv+XX36JjIyMHmkUdUwM37FjB1pbWyEIgrhEDBERUbi4aHHP6HaXxpIlSzB//nz8+OOPmDZtWlCO1Pfff49vvvkGy5Yti1hD+xudThfUIyUIAmfcERFRj1EoFNFuQp/Q7UDq6quvRlpaGl566SX85S9/QXV1NYBjdaTy8/Px448/Ij8/P2IN7W+OTwwfM2YMHA5H0FAfERERRVdISTYTJ07ExIkTI9UWakculwcVywwkn3PGHRERUe8RVrZyc3NzUI9UIHGNIuf4wIqIiIiiL6SCnP/4xz+Qm5uLuLg45ObmYsSIEeL/v/XWW5FqIxEREVGv1O0eqT/96U94/PHHceedd6KgoCAo2fy7777D//t//w+NjY249957I9bY/oo1pYiIiHqnbteRysjIwJ/+9CfMnTu30/3//ve/cd999+HIkSM92sDToTfWkWqPiw0TEVFPYB2pntftob2amhqMGjWqy/2jRo1CXV1djzSKgnGxYSIiot6p24HUOeecgz/+8Y/wer0d9vl8Pjz77LM455xzerRxdEz7xYa9Xi8OHTqEtWvXorCwsNO/BxEREZ0e3U60+fvf/46CggKkpKRgypQpQTlS69atg1KpxHfffRexhvZn7WtKVVZWIjU1NajCOYf5iIiIoqPbgdTo0aOxf/9+fPDBB9i0aRMOHDgA4Fj5g6eeegrz58/vlflFfUH70geBKucAh/mIiIiiLaSpXwaDAbfffjtuv/32SLWHTuL4pWNY4ZyIiMJRW1vLZPMeEFIdqRPxeDxn5Iy9M4XX60VhYSEaGhqwbt06bN++HeXl5Rg5cmS0m0ZERGegGTNmiMW1KXw9FkgVFRVhyJAhPXU6Oo7FYkFraysOHjwIg8EArVaL9PR07N69u9PjA4EXk9KJiOh4l112Gex2OxobG6PdlDNejwVSFFmBEggOhwNSqRROp/OEOVKBwKt9UjoREREADBgwINpN6DO6nSN19tlnn3C/w+E45cZQ1wK5URqNRqxwfqIcKdaeIiIiirxuB1JFRUWYN29el8N3VVVV2L9/f481jIIFSiBkZ2ejoqIC6enpMBgMMJvNnR7PpHQiIqLI63YgNXLkSIwfP77LGXsWiwVvvvlmjzWMjjl+nb0pU6Z0a5299rWntFptlwEXERERha/bgdR5552Hffv2dbnfYDBgypQpPdIo+p9ArpNEIgmpAGf72lNEREQUGd0OpF588cUT7s/MzMSaNWtOuUEUrKWlBSUlJXA4HNBoNMjJyYl2k4iIiOj/F1JBToqs44fxzGYzKioqYLPZIJVKYbPZUF5eHu1mEhER0f/vlAOp+vp67Ny5E7m5ueL6exSezobx0tLS4HA44HQ6odPpMHDgwG6fr7PArDv5VURERNQ9IdWRev311/H666+Lv1ssFmRlZWHq1KkYOnQovv322x5vYH/SWckCk8mEnJwcjBkzBjk5OSGtZ8haUkRERJEVUiD15ptvIiEhQfz9sccew+WXX46Wlhb8/ve/xx/+8Iceb2B/EqgNBUAsWWA2m2EwGCCVSk9Y7qAzrCVFREQUWd0a51m3bh0EQcCBAwfQ3Nws/r5mzRo899xz2LZtG8aNG4e//OUvWLduHQBwBl8YOitZcCqz71hLioiIOmO1WqPdhD6jW4HUwYMHAQB+vx9VVVWQyWQoKSmBTCaDVqvFwYMH4fV64fP5cOjQIQiCwEAqDCcLmkLNeWItKSIi6sxnn30GiUQCj8cT7aac8SRCYCypGyZNmoSRI0fisccewwMPPACHw4Hly5cDAPbv349f/epXOHDgQMQaGyktLS0wmUxobm4OKQfpdCssLAzqYTIYDKwVRURE3Ra43xUUFODbb79FUVERRowYEe1mndFCmsL15JNPYtasWWKu1A8//CDu+9e//oWLLrqoxxtIx3i9XmzdulWsJ5WVlcWcJyIiCktGRka0m9BnhBRIXXjhhThy5AhKS0sxbNgw6PV6cd/ll1/O1aQjyGKxQBAEeL1e7Nu3D/v27YPZbMbEiRNZ0oCIiChKQpq1BwAmkwnjxo0LCqIAYOzYsUhJSemxhlEwm82G7OxsNDQ0wOVyQSKRIDU1lSUNiIiIoqhbgdSmTZu6fUK73Y49e/aE3SDqnE6ng1QqRVJSErKyspCTkwO5XM7hPSIioijqViB13XXXoaCgAMuXL4fNZuv0mKKiIjz00EPIzMzE1q1be7SRBLGelFarFXOkWNKAiIgouroVSBUVFWHmzJl4+OGHERMTg7POOgsXX3wxLrvsMkyaNAkJCQk4++yzcfDgQXz33XdYsGBByA354x//CIlEgrvuukvc5nQ6sXDhQsTHx0Ov12POnDkdal8cOXIEM2fOhFarRVJSEu677z54vd6Qn7838nq9KCwsxNq1a2GxWGA2m7FgwQJotVrs2bMH5eXlGDlyZLSbSURE1G91K0tZoVDgzjvvxJ133onCwkL89NNPOHz4MBwOB8aMGYO7774bF154IeLi4sJqxC+//ILXX38do0ePDtp+991348svv8Ty5cthMpmwaNEizJ49Gxs2bAAA+Hw+zJw5EykpKfj5559RVVWFBQsWQKFQ4JlnngmrLb1JZ2vvAUB6ejoGDRoEQRCwe/fuPlkCgesEEhHRmSDkO1NeXl6P3rjb2tpw7bXX4s0338RTTz0lbm9ubsZbb72FZcuWiWUV3nnnHYwYMQKbNm3ChAkT8N1336GoqAirV69GcnIyzGYznnzySTzwwAN4/PHHoVQqe6yd0dDZEi+CIPSLZV86CyL7YsBIRERntpBn7fW0hQsXYubMmZg2bVrQ9q1bt8Lj8QRtHz58OAYNGoSNGzcCADZu3IhRo0YhOTlZPKagoAAtLS0nTHh3uVxoaWkJ+umNOlt7r7NtfRHXCSQiOnVnyv3uTBbVQOqjjz7Ctm3bsHTp0g77qquroVQqERMTE7Q9OTkZ1dXV4jHtg6jA/sC+rixduhQmk0n8SU9PP8Ur6Rntc6IKCwsxcuTIoAWLR44cCZ/Ph/3792P//v3QaDR9dtmX/hIwEhFFUm+93/UlUQukysvL8f/+3//Dhx9+CLVafVqfe/HixWhubhZ/ysvLT+vzdyUwnCUIApqamvDxxx+jubkZhw4dQktLCz7++GO0trZi2LBhyM7Ohlwu77N5Q4FZioEgsq8GjEREkdRb73d9SdTuwlu3bkVNTQ3OPvtscZvP58O6devw97//Hd9++y3cbjeampqCeqWsVqtY+DMlJQVbtmwJOm9gVt+JioOqVCqoVKoevJru6SyBGoC4rbi4GFlZWZDJZCgrK4PD4YDD4YDNZoPD4YDdbofD4cCwYcP6/HDXyRZwJiKik+vqfhe4V5aVlQEAYmNjWVQ7TKfUI+V0OsN+7NSpU7Fr1y5YLBbxJy8vD9dee634/wqFAt9//734mH379uHIkSPIz88HAOTn52PXrl2oqakRj1m1ahWMRiNyc3PDv7AIad/jFEigbr9NEASUlJQAOFbYVKPRwOFwQCqVwul0QqvVwuFwAOBwFxERhe+zzz6DRCLBZZddhtzcXGRnZ58wJYa6FnKPlN/vx9NPP43XXnsNVqsV+/fvx9ChQ/HII49g8ODBuPnmm7t1nkDOT3s6nQ7x8fHi9ptvvhn33HMP4uLiYDQacccddyA/Px8TJkwAAEyfPh25ubm47rrr8Nxzz6G6uhoPP/wwFi5cGJUep5M52Sy87OxslJWVQSqVIj4+HqmpqSgrKxN7sDIzM1FZWQmpVAqtVsvhLiIiCsu8efMwZMgQGAwG1NTU4IUXXkBjYyN7pcIQco/UU089hXfffRfPPfdcUHmBkSNH4h//+EePNu7555/HpZdeijlz5mDKlClISUnBihUrxP0ymQxffPEFZDIZ8vPz8Zvf/AYLFizAkiVLerQdPeVks/CkUinOPvtsTJkyBfPnz0dMTAyys7MRFxcHQRBQVlaGnJwcTJw4EXl5eX02P4qIiCIrJycHw4YNQ2pqKpKSkqLdnDOaRAjcxbspKysLr7/+OqZOnQqDwYAdO3Zg6NChKC4uRn5+PhobGyPV1ohpaWmByWRCc3MzjEZjxJ4nkCNlt9uDepSO33Z8gFRYWCjWVPJ6vaisrERGRka/LVTJYp1EROEJ3O8effRRDB06FABQWVmJhx56CEVFRRgxYkSUW3jmCfnuc/ToUWRlZXXY7vf74fF4eqRRfVVXCdSBbV0FCO2HBANJ6IMGDeq3hSpZrJOIiHqLkIf2cnNzsX79+g7bP/nkE4wdO7ZHGtVfdZaMDvxvSNDn82Hfvn0oLy/Hvn374Pf7+/TMva6wWCcREfUWIfdIPfroo7j++utx9OhR+P1+rFixAvv27cP777+PL774IhJt7De6ChDMZjMKCwuxcuVKVFdXIzExEa2trSgpKemXPTE6nU7skeLsRSIiiqaQe6SuuOIKrFy5EqtXr4ZOp8Ojjz6KvXv3YuXKlbj44osj0cZ+40TVvPfv34+mpib4fD7s2rUL33zzDQ4fPtxh5mN/wGKdRETUW4SVoTt58mSsWrWqp9vS75nN5i6T0evr69HY2IiqqipIJBIYjUYIgoDdu3f3u14pFuskIqLeIuRA6pdffoHf78f48eODtm/evBkymYw3uFPQPkBon3heXFwMlUoFk8mEyspKeL1e6HQ6JCUlMT+IiKiX40zjvi3kob2FCxd2ulbP0aNHsXDhwh5pFB0reVBYWIjt27fj0KFDcLlccDgcEAQBOp0OY8aMgVarZX4QEVEv19VEIuobQg6Ji4qKgtbHCxg7diyKiop6pFH90fHfWAoLC1FWVgaPxwOZTAaLxYIxY8YgJSUFTqcTTU1NOP/885kfRETUy3Gmcd8WciClUqlgtVrFQl4BVVVV7Ko8BcfXRtq6dSs0Gg2kUik8Hg98Pl9QACuVSjsMrxIRUe/TG2caV1RUQBAEyOXyM7KQdm8ScuQzffp0LF68GJ999hlMJhMAoKmpCQ899BBn7YXJ6/Vi69atcDgc0Gg0yMrKQmxsLARBgMfjgUqlQnp6urguX2/5IBIR0cl1NZEomt5+++2g3/V6PWJjY6PUmjNbyEvEHD16FFOmTEF9fb1YgNNisSA5ORmrVq1Cenp6RBoaSadriZiuBPKhHA4HAECj0UClUsHlcsHlckGlUmHUqFFQqVQnXEqGiIjoRAL3u3nz5kGpVOL999/HypUrkZeXxwWLwxTynTgtLQ07d+7Ehx9+iB07dkCj0eDGG2/ENddcA4VCEYk29nk2mw3Z2dkoLS2F0+mEVCrFNddcg927dzNwIiKiHpeTkwO1Wg0AyMzMZBB1CsK6M+t0Otx666093ZZ+KzB+PmzYMAiCAIPBALVajby8PDEJfcOGDZw2S0RE1Mt06478+eefY8aMGVAoFPj8889PeOzll1/eIw3rT7oaP3c6nXj22WdRU1MDo9GICy64gAv0EhER9SLdCqRmzZqF6upqJCUlYdasWV0eJ5FI4PP5eqpt/UZXlbo//vhj1NTUQCKRoLm5GT/++CNmzJgRhRYSERFRZ7oVSPn9/k7/nyKrsbERarVazJtqa2vjbD0iIqJeJKTK5h6PB1OnTkVJSUmk2kPtGI1GeL1e1NbWwmq1IjY2tldMmyUiIqJjQgqkFAoFdu7cGam20HFycnKg1WqRkpKCrKwsFBQUMNGciIioFwn5rvyb3/wGb731Fv74xz9Goj39UvvlYdRqNQRBgMvlQnFxMaZNmwaZTAYAzD8jIiLqZUIOpLxeL95++22sXr0a48aNg06nC9r/17/+tcca119YLBY0NTWhrKwM+/btg0qlwrRp0yAIAkpKSjB8+HBWMyciIuqFQg6kdu/eLa75tn///qB9gUUZKTQ2mw1lZWWw2+1wu91wuVwoLS1FdnY2ysrKIJVKe82yAkRERPQ/IQdSa9asiUQ7+jWdTge73Q6JRAKlUgngWA0pQRDEob7AenxOp5OFOYmI6JRUVFSI95uysjIAQGxsLCuchyHktfbaKy8vB4Azcn299qK91p7X68WyZcvQ0NAApVIJQRCgUCigVquRmpoKuVyO4uJiABCH+QwGg1jI02azMbgiIqKTCtzvAiQSCQJhgF6vR0lJCYOpEIWVI/XEE0/gpZdeQltbG4BjL/4dd9yBxx57jOvthUEul2P+/PmwWCxobW1FeXk50tLSUFpaKg6XOp1O8f8lEgnsdrt4vEQiQWtrK6ueExFRt8ybNw8pKSnQaDQwGAyoqanBCy+8gMbGRgZSIQo5kLrjjjuwYsUKPPfcc8jPzwcAbNy4EY8//jjq6+vx6quv9ngj+4NAdfPCwkIkJydj9erVKC0txcaNGzF//nxxcUkAYuJ5c3MzSktL4XA4oNFokJ2dHcUrICKiM0VOTg6GDh0a7Wb0CSEHUsuWLcNHH30UtFTJ6NGjkZ6ejmuuuYaBVJjaL068fft2qNVqJCQkoKamBv/6179w7rnnQqPRwO/3w2g0wmw2Y9myZbDZbJBKpbDZbKioqIj2ZRAREfUrIQdSKpUKgwcP7rB9yJAhYuIahS4wTKdWq9HY2AiVSoX4+HjYbDYIggCpVIqBAwfCaDSKw3cDBw6Ew+EQE9DP9Fw1IiKiM01Ilc0BYNGiRXjyySfhcrnEbS6XC08//TQWLVrUo43rT2w2GyQSCbKysmAymVBTU4OSkhLYbDYolUrY7XaxREKA0WhETk4ORo4cCUEQsH//fhQWFsLr9Yb03F6vF4WFhVi7dm1YjyciIuqvQu6R2r59O77//nsMHDgQY8aMAQDs2LEDbrcbU6dOxezZs8VjV6xY0XMt7eN0Oh1aW1shk8lwzjnnQCKRoK2tDW1tbUhMTIREIoHD4YBSqURhYSFsNhtUKhW0Wi127NgBAMjKygor6ZxJ60REROEJOZCKiYnBnDlzgrZxSOnUBUoZ2O12KJVKLFiwAKWlpWhra0NlZSUAIC4uTgx2AoGVwWDAsGHD0L6KRfteq+4I9IYB/5sRSERERCcXciD1zjvvRKIdfV779fQ6q/kUmLUHAFqtFq2trcjKykJJSQmGDRuG0aNHQyKRYNOmTVCr1cjKyoJMJoPdbhd7swL1QEJdSuZUH09ERNRfhZwjReEJDJ8JgiAOn3XFbDbDYDBAoVAgLy8PN910E+RyOex2O9RqNWw2G/bt24fi4mLs3bsXXq8XWq0WUqlULNQZisDzhft4IiKi/oplsE+T7g6fBRK/d+zYAZ/PB61Wi7q6Ovz73/+GSqWC3W6HyWRCY2MjJk6ciGHDholDfFOmTAmrbe17w4iIiKj7GEidJt0dPrNYLNi2bRtKSkpQUVEBuVwOpVKJtrY2NDY2Qq/Xw+PxYMCAAZDJZJDJZABCz4siIiKiU8dA6jRpn0yu1Wq7HD6z2WwoKyuD2+2G1+uF1+tFdXU1hg8fjoaGBshkMvj9fmRlZcHhcAAA85qIiCgkFRUVQZOUamtrAXAB43CcUiDldDqDli6hrnU2fNZZArpOp4PP50N1dTUOHToEm80m9jpJJBJIpVIMHjwYOTk5qKyshFQqDQrMTpbUTkRE9Pbbb3fYJpFIcNlllwHgAsahCPkO6/f78fTTT+O1116D1WrF/v37MXToUDzyyCMYPHgwbr755ki0s08qLCyExWKB0+mEUqnErl27MGjQILS1taGhoQF+vx8OhwN+vx9utxujR4+GXq9Heno6YmJicMEFF3QIklgTioiITiawaHF7XMA4PCEHUk899RTee+89PPfcc7jlllvE7SNHjsQLL7zAQCoEO3bsgMPhgEQiQUlJCaRSKYYMGYLc3FzY7XYcPXoUPp8PbrdbrG6+aNEicTZfZ1gTioiIToaLFveckMsfvP/++3jjjTdw7bXXikNOADBmzBgUFxf3aOP6E6fTierqamzbtg27du1CVVUVmpqa4HA44PF44HK5UFtbi9WrV2Pv3r0oLCyE0+nssLSLTqcTx72ZO0VERBRZIQdSR48eRVZWVoftfr8fHo+nRxrVX5jNZmg0GkgkEthsNvh8PmzatAkNDQ2oqamBIAhwu93QaDSQSqWQyWQ4cuQIWlpa8Omnn+Kxxx4TA6jAMB5rQhEREZ0+IQ/t5ebmYv369cjIyAja/sknn2Ds2LE91rD+YNy4cWJ18urqatjtdhw5cgTNzc3weDxISUmB1WqFVqtFfHw8Bg8eDEEQsGXLFgiCAIlEgpSUFJSWlmLYsGGw2+2sCUVERHQahRxIPfroo7j++utx9OhR+P1+rFixAvv27cP777+PL774IhJt7LPaBz179+6F3W6HTCZDQ0MDtFotDAYD5HI55HI5cnNzUV1dLc7qAwCXywXg2LAgh/GIiIhOv5CH9q644gqsXLkSq1evhk6nw6OPPoq9e/di5cqVuPjiiyPRxn5hzJgxUKlUEAQBdrsdsbGxGDhwIPLz8zFy5Ehcd911GDFiBKRSKWw2GxQKBYYNGwaNRiPOtOAwHhER0ekVVoGhyZMnY9WqVT3dln4tLy8P+/fvx8CBA5Gbm4uWlhY0NDSIQ3j79+9HVlYWJBIJkpOTYTAYkJGRgby8PNaKIiIiipKoLlr86quvYvTo0TAajTAajcjPz8fXX38t7nc6nVi4cCHi4+Oh1+sxZ84cWK3WoHMcOXIEM2fOhFarRVJSEu677z54vd7TfSmnJFBEs7GxEfX19cjNzYVGo4HL5RIDp0B5hGHDhmHMmDG46qqrcMsttyAvL49BFBERUZR06w4cGxsr1iY6mYaGhm4/+cCBA/HHP/4R2dnZEAQB7733Hq644gps374dZ511Fu6++258+eWXWL58OUwmExYtWoTZs2djw4YNAACfz4eZM2ciJSUFP//8M6qqqrBgwQIoFAo888wz3W5HtFksFjQ1NcFqtWL37t1wu91QqVSQy+WIjY1Feno6Kisr4Xa7ERcXh4EDB0a7yUQ9jlX5iehM1K1/pV544YWIPHmgFH3A008/jVdffRWbNm3CwIED8dZbb2HZsmW46KKLAADvvPMORowYgU2bNmHChAn47rvvUFRUhNWrVyM5ORlmsxlPPvkkHnjgATz++ONQKpURaXdPa2lpwQ8//IDGxkbU1tZCIpHAYDDAaDSiqakJUqkU2dnZ0Gq1SE9PZ9Vy6pNYlZ+IzkTdCqSuv/76SLcDPp8Py5cvh81mQ35+PrZu3QqPx4Np06aJxwwfPhyDBg3Cxo0bMWHCBGzcuBGjRo1CcnKyeExBQQFuv/127Nmzp8tyDC6XS5zxBhwLZKKpoqICzc3NkMlkSEhIQF1dHbRaLfR6PWJjY6HT6TBmzBhWLac+je9vop7X1f3u+EWL22u/gDEXLz65U1602O12B20zGo0hnWPXrl3Iz8+H0+mEXq/Hf/7zH+Tm5sJisUCpVCImJibo+OTkZFRXVwMAqqurg4KowP7Avq4sXboUTzzxREjtjKS0tDSYTCY0Njairq4OEokEWq1WDBIXLFgA4NjafIFv7Cx3QH2NTqfj+5uoh3V1v+ts0eL2AgsYc/Hikws5kLLZbHjggQfw8ccfo76+vsP+QI2j7ho2bBgsFguam5vxySef4Prrr8fatWtDbVZIFi9ejHvuuUf8vaWlBenp6RF9zhMxmUy46KKL8MMPPyAxMRFutxtGoxGNjY1BQxtmsxkWiwV2ux1arVYsd+D1erF161ZYLBYAx0opMAmdzjRdvb+JKHxd3e86W7S4PY1GA4fDwcWLuyHkO+3999+PNWvW4NVXX8V1112Hl19+GUePHsXrr7+OP/7xjyE3QKlUikvOjBs3Dr/88gtefPFF/PrXv4bb7UZTU1NQr5TVahX/oCkpKdiyZUvQ+QKz+k70R1epVFCpVCG3NVLMZjMKCwvhdrthMBiQmJiI9PR0yGQyGAwG8biuqpZbLBZs374dDodD/J0VzulMw/csUc/r6n7XnUWLKysrI9WsPiXk8gcrV67EK6+8gjlz5kAul2Py5Ml4+OGH8cwzz+DDDz885Qb5/X64XC6MGzcOCoUC33//vbhv3759OHLkCPLz8wEA+fn52LVrF2pqasRjVq1aBaPRiNzc3FNuy+kSqF6enp6O2tparFmzBsuXL0d1dTW2bNmC119/HZs3b+6yrIPNZoPT6YREIoFEIoHL5WJ+CRER0WkQco9UQ0ODGMUajUax3MGkSZNw++23h3SuxYsXY8aMGRg0aBBaW1uxbNky/Pjjj/j2229hMplw880345577kFcXByMRiPuuOMO5OfnY8KECQCA6dOnIzc3F9dddx2ee+45VFdX4+GHH8bChQt7VY9Td9hsNmzbtg1OpxNGoxFtbW3YuXOnmPO1fft2yGQy5OXldZgmrlaroVarxR4ptVrN/BIiIqLTIORAaujQoTh48CAGDRqE4cOH4+OPP8a5556LlStXdkgMP5mamhosWLAAVVVVMJlMGD16NL799ltxqZnnn38eUqkUc+bMgcvlQkFBAV555RXx8TKZDF988QVuv/125OfnQ6fT4frrr8eSJUtCvayok8lk2LVrFzweDxQKBQwGg5h4CyCol6mwsBAWiwVOpxNqtRojR47E2LFjsWPHDgDA6NGjmV9CRER0GoQcSN14443YsWMHzj//fDz44IO47LLL8Pe//x0ejwd//etfQzrXW2+9dcL9arUaL7/8Ml5++eUuj8nIyMBXX30V0vNGw8mKDZaWlkKhUMDpdMJut6O2thYmkwkbN25EfHw8TCaTWBdrx44dcDgckEgkcDgcKCoqwq233orx48dH6/KIiIj6pZADqbvvvlv8/2nTpmHv3r3Ytm0bsrKyMHr06B5tXF9ysmKDzc3NmD17Nj799FPU1dVBEAQkJSXBarVCLpfjrLPOEnun3G43fvnlFzgcDmg0GkycODFal0VERNSvnfL8+MGDB2Pw4ME90JS+7WTFBmNjY1FXVwej0YiEhAT4/X643W60tbUhKSkJHo8HO3bswLhx41BXVycWWHO5XGLxNCIiIjq9uj1rb+PGjfjiiy+Ctr3//vsYMmQIkpKScOuttwZVT6VgOp1OrCLbWbHBuXPnIiEhAT6fTwyyGhsbcejQIaxfvx4HDx6E0+nEsmXLUFdXB5VKhdTUVGRkZCA2Nva0Xw8F83q9KCwsxNq1a1FYWHjGLZxNRETh6XYgtWTJEuzZs0f8fdeuXbj55psxbdo0PPjgg1i5ciWWLl0akUb2BWazGRqNBvv378f+/fvhcrmwadMm8cYLALm5uRg0aBBiYmLg8/ng9/shk8mgVqtRW1uL8vJy7NixA01NTXC5XFAoFBg4cCDi4uKifHUUGLoVBEEcuiU6nRjME0VHtwMpi8WCqVOnir9/9NFHGD9+PN58803cc889eOmll/Dxxx9HpJF9QaBWVHZ2NoYNG4Zdu3bBYrGIN95//etfKCwshEqlgtfrhd/vh9FoRFZWFgYMGIC4uDgcPnwYgiBgzJgxUKlUqK6uRkJCAubOnRvty+v3uE4cRRuDeaLo6HaOVGNjY9C6dmvXrsWMGTPE38855xyUl5f3bOv6gPaz9YqLi8Uq7vv374fH44FEIkFWVhZ27twJQRCwfft2SCQS+P1+KBQKuN1ucQ0+r9eLUaNGwWq1Ii4uDiaTCfPnz++wFExXMwRPNnOQwsd14ijaGMwTRUe376LJyck4ePAg0tPT4Xa7sW3btqCFEFtbW6FQKCLSyDNZ+9l6giCgpKRE/H+FQgG73Y6SkhI0NTWJr2FjYyOkUik0Gg2sVitaWlpgNpsRHx+PjRs3QqfTAQC0Wi22bt3aoexBVzMETzZzkMLHdeIo2hjMUygqKirEvN2uBCYylZWVidtiY2O57t5xuh1IXXLJJXjwwQfx7LPP4r///S+0Wi0mT54s7t+5cycyMzMj0sgzWftvidnZ2SgrK4PT6UR2djYAwOPxAADi4+OxY8cOsedJLpfD4XBAoVAgPj4etbW18Hg8OHz4MLKysqDT6ZCQkIAdO3Z0CKS6+mbKb6yRw3XiKNoYzFMo3n777W4dJ5FIcNlll4m/6/V6lJSUMJhqp9uB1JNPPonZs2fj/PPPh16vx3vvvScWiASO/VGmT58ekUaeydp/S5RKpTj77LMBIOibY3l5OaRSKaRSKXQ6HRobG+HxeOB2uyGRSHDkyBFoNBrU1dXB7/dDLpfDZDJh+/btSEtLQ2FhYdAwXVffTPmNlajvYjBPoZg3b163giGNRgODwQDg2GokL7zwAhobGxlItdPtQCohIQHr1q1Dc3Mz9Ho9ZDJZ0P7ly5dDr9f3eAPPdF19S2y/LSUlBdu3b4dWqxWH/FQqFXw+H7RaLQ4dOgS/3w+fz4ecnBw0NTVBIpGIb+bCwkL4fD6xZ6qr5+Q3ViIiAoCcnBxx3Vw6NSFnGptMpk63cwr+ibUfiz7+m+M//vEPFBUVobGxEU6nEzKZDLGxsXA4HJDJZDCZTMjOzoZcLkdCQgJaW1vhdruRnJyMgQMHwuFwBA3xdfXNlN9YiYiIehanbEXYiRK8A7PoVq9ejdraWjQ1NaGlpUVcV08qlWLAgAEYPXo06urqkJSUhObmZiQlJaGpqQnDhw+HTCbrMmGQs/SIiIgii3fVCDtRgncgyKqtrYXX64VSqURsbKyYAyUIAqxWq7je3qBBg5CTk4Phw4ejuLgYFRUVSElJgVqt7nSdQ87SIyIiiiwGUhHWVYK31+vF1q1bxeG7QK+Sx+OB1+vFzp07IZFIoNFoxJy00tJS1NTUwOVyQSaTobKyEjabDfHx8Rg5cmSH5+4siGMvFRERUc/pdmVzCo/ZbIbBYIBUKoXBYAhKNhcEAYIgYNiwYdDpdDAajTAajYiPjwdwLK+qra0NVqsVtbW1aGxsRFlZGTZu3IivvvoKLpcLQ4cOhcFgwIoVKzo8d2fr+7H6MRERUc9hV0SEdZXgbbPZkJ2djdLSUgwdOhR6vR4ulwtHjhwBAGzZsgXNzc1QqVSIi4uDz+dDc3MzJBIJqqurYbPZxFmSUqkUzc3NHZ6js1l6GzZs6JO1pNjTRkRE0cA7zWkWuOEXFxdDEARkZ2eLvVUA8Omnn+K7776DVHqss9DhcKCqqkpMMB80aBCSk5PR0NCApqYmAIDf7+901mRnQVxfrSXFfDAiIooGDu2dZoEbfmDNvbKyMmg0GrhcLmzZsgWHDh1CTU0NPB4PVCoVdDodFAoFdDod1Go1HA4HAOCss85Ceno6ZDJZSAsXdzXUeKZj1XYiIooG9kidRu0TzDUaDbKzs8X1CT///HMcOHAABw8ehMvlgtPphNfrhcfjgVarhcFgwODBg1FZWQm/3w+9Xo+rrroKOp0ONpsNu3fv7tZwVl+tJdVXe9qIiKh3YyB1GrVPMA8sVpyXl4etW7fiwIEDcLlcaGpqQltbm9jzFFi8ODC7z2AwYMiQIcjIyMCBAwcwePDgiA5nnSm5R6zaTkTUfd1ZtPh4nS1i3Jn+trBx77sj9jHtA5Hi4mIMHToUBw8ehNPphFQqhdlsxtatWwEAzc3NcDgc8Pl8UCgUkMvlkEgkYg+UVCpFXl4epk+fDplMJpZIACI3nHWm5B711Z42IqJI6O6ixcc7fhHjzvS3hY0ZSEVY+0BEEAQcOHAAw4cPhyAIMBgMkMvlMJvNKCkpQVlZGVwuF7xeL6RSqXhMTEwMzjvvPAwbNgzJyckoLS2F3W5HS0sLvF4v5HJ5SMNZofQyMfeIiKjv6e6ixcdrv4hxZ/rjwsYMpCKsfSCSnZ2NsrIySKXSoOGncePGYe/evdi9ezdaW1vh9/vhcrng8/ngcrkQFxeH5ORkeDwe/PDDD/B4PMjKysKECRNQWVmJwYMHhzScFUovE3OPiIj6Hi5a3HMYSEVY+0BEKpXi7LPPDgpaAr1Dzc3NGDFiBNRqNfbs2YPa2lpotVrEx8dj7NixOHToEARBgFQqFWfrqVQqDB48GFOmTAmpTV31MnXWU3WquUdnSo4VERFROHhHi7D2gYhKpYLX68XatWuhUqkgkUhgsVjg9XpRWVmJQ4cOYdeuXWhsbITX64VEIoHVasV3330Hk8mEjIwMDBo0COXl5eJSMlqtFoIgnDRIaR/QHD58GKmpqR2GBLvqqTqV3KNQc6zCDbwYsBERUTSwjlSEBZKgp0yZAplMBofDAUEQYLFYsH37djgcDpSVlcHpdMJut8Nut4vHBLbV1dWhqqoKv/zyC/bt2wefzwelUomKigrY7fZuLffSfmmY1NRUVFZWdqglFYl8qFDPGe4SNlz6hoiIooFf2U+j5uZmlJaWwuFwoLy8HGlpadDpdHA4HLBarThw4AAcDgckEolYfFMikYjFOeVyOex2O3Q6HaZOnYpdu3bB6/UCOHmQ0j6gkcvlnQ4JRiIfKtRzhhvMMSmeiIiigYFUBAWGm1paWlBRUYE9e/bA7XZj4MCB8Pv9qK2txZgxY7Bhwwbs3btXXEvP7/ejubkZMpkMMpkMarUabrcbCoVC7LECAKVSiSNHjkAQBKjVaowdO7bLtnQW0Bw/HDZy5Ejs3r27R2sxhZpjFW4wx6R4IiKKBgZSERQYbiopKYHNZoPL5YJUKkVlZaW4xp5CoUBSUhKUSiWkUqlYR0oikUCpVEIikcDr9cJmsyE+Ph5paWmoq6vDDz/8AJ/PB7/fLxZVO1Fxtc4CmuPzl3bv3t3jtZhCre8UbnI7C3ISEVE0MJCKoMBwUyDnqba2FrGxsVCpVMjJyUFMTAzMZjPefPNNWK1WtLS0wO/3w+/3Q6lUijWiAgGX0+mESqWCw+HAoUOHYDKZoFaroVKpMHz4cLjd7i7b0llA0xuHw8ItrMmCnEREFA0MpCIoMNyk0WhQXFyMhIQEyGQyCIKAyspKXHDBBbBYLKiurhZ7njweDwDA5/PB6/WKM/P0ej0cDgeqq6tht9uRnp4Ov98Pj8eDiooKSKXSEw7tnah9HA4j6l84y5Wo53DWXgSZzWYYDAbk5ORAo9EgIyMDw4YNw8yZMzF48GDI5XK0tLSI5Q6k0v/9OTweD2QymbjN5/NBpVJBKpVCr9eLSegAxF6lUNdNCrTv+Nl7RNS3cZYrUc/hV5AIaj/cZDAYgnp/VCoVNm/ejPfeew9WqxU+n6/D0JzP54NcLofP50NbWxvi4uLgcDiQnJyMw4cPQ6fTIS0tDfn5+Scd2jtZ+4io/+iNw/p0eoWzaHF3HL+wcX9YwJiB1GnSPrm7vLwcbW1tKC8vR0tLC+Li4tDa2ir2PgX+6/F4IJVKoVKpoFQq4XQ6IZfLsX//fuj1eiiVSvj9fpSVlUGhUHTao8QufCI6Hof1KdxFi7uj/cLG/WEBY95RT4P2wUx5eTlSU1Oxe/dutLS0oLW1FRkZGQCAgwcPwuFwQKPRwOVyQSaTQS6XQ61WQ6lUwmazwWazQaFQIC8vD9XV1WhsbITH44FarcaoUaM6PPfWrVuxfft2OJ1OqNVq+Hw+jB8//nS/BETUi3CWK4W7aHF3BBY27i8LGDOQOg3alxmor69HW1sbrFYrrFYrvF6vmCel1Wrh8/lgt9shk8kQGxsLh8OBhoYGKBQKqNVq1NTUIDY2Vsxt0Ov1yMjIQHJyMvbs2YPzzjuvw3MHCns6HA7s2LGDgRRRP8dhfeKixT2HyeanQft8BK1Wi9LSUiQkJCAtLQ1KpRIulwuxsbEwGAzIyMiARqOBQqEQE8uVSqW4YLHP54PJZILT6URMTAy0Wi3S0tKifIVERET9E3ukToP2+QiZmZk4fPgw5HI5srKyUFNTA7vdDrfbDa/XC4fDAb1eL1Y1DywNo1QqodPpEBMTA51Oh3HjxoklEQJLyIwePTroeb1eL5RKJfbt2yc+9/HHEBERUfgYSEWI1+vF1q1bYbFY4Pf7oVAoxOTx7OxspKen44cffoDb7YbdbkdlZSXa2toAHOt2NxqNkEql4mwaiUQCqVQKuVwOvV4PvV6PzMxMfPPNN3C73TjrrLOC8hy8Xi+WLVuGxsZGqNVqxMfHQ6/Xn1J3PhPXiYiIgnFoL0IsFgu2b98Ou90Op9OJsrIySCQSDBs2DKmpqdiwYQOKi4shl8vR0NAAh8MhVjV3u92or6+H3W6HUqnEgAEDkJiYCK1Wi4SEBGRmZsLhcOCrr75CYmIi0tLS4HK5sHv37qDnr6+vh1QqRWJiIvR6vVi76lSuibVniIiI/oeBVITYbDY4nU5IJBJIJBK0tbXB5XIBgLi8y/Dhw+HxeNDW1gav1xv0eEEQ4Ha7odFoMGjQIMTHx0OhUCA7OxtTp06F2+0Wc68kEglcLldQLRibzQatVgtBEMRE81Od4szaM0RERMEYSEWITqeDWq2GIAhwuVw4ePAgfvrpJ3z33XdoamqCRqPB5MmTUVlZiZaWlg6F0aRSKaRSKfx+vxhoabVaOBwOlJaWQq1WQ6fTQRAEscBn+0BJp9MhMzNT3BYXF3fKU5wDzweAtWeIiIjAQCpizGYzxo4dC51Oh+LiYgwcOBAtLS1Yu3YtvvrqK6SmpmL9+vVwOp1QKpVBy8MEyGQy6PV6CIIAhUKBjIwMWK1WlJaWwmw245JLLkFtbS2OHj0KlUqFkSNHBj1/TEwMRowYgUmTJmH+/PmnnM/EJWWIiIiCMVM4QuRyOcaPH4/x48fD4XBgy5YtUKvVYq2ot956C01NTaivr4fH44Hf7w96vFqtxqBBg7BgwQLs3r0bCoUCZWVlcDgcaG1thdlsxu7du3HxxReL1Yl3794tJpNHok4Ma88QEREFi2qP1NKlS3HOOefAYDAgKSkJs2bNwr59+4KOcTqdWLhwoTjrbM6cObBarUHHHDlyBDNnzoRWq0VSUhLuu+++DjlH0RQbGwubzSYO1blcLpSXl0MQBPj9fjHvKEChUGDAgAGIi4vDqlWr0Nrail27dsFms8HhcKC5uRnPPvssmpubmbNEREQURVHtkVq7di0WLlyIc845B16vFw899BCmT5+OoqIi6HQ6AMDdd9+NL7/8EsuXL4fJZMKiRYswe/ZsbNiwAcCxhX1nzpyJlJQU/Pzzz6iqqsKCBQugUCjwzDPPRPPyRHPnzsVPP/2E2tpa8boCtaPcbjc8Hg8kEolYIkEikcDv96O1tRV2ux1jxoyB1WpFTU0NfD4fBEHArl27MGjQIAwePJjrZRERUUgitWhxe8cvYHyqeusCyBIh0q9kCGpra5GUlIS1a9diypQpaG5uRmJiIpYtW4arrroKAFBcXIwRI0Zg48aNmDBhAr7++mtceumlqKysRHJyMgDgtddewwMPPIDa2loolcqTPm9LSwtMJhOam5thNBp7/Lq8Xi82b96ML7/8Em63G3v37kVraysaGxtRWVmJhoYGABB7rAJr7AHH1iy6+OKLUVRUhOrqasTExCAhIQEmkwlXXnkl8vLyxDIJEokETqczojWeWEuKiOjMFbjfnS6BL/o9obcugNyr7oDNzc0Ajs0wA44tuOvxeDBt2jTxmOHDh2PQoEFiILVx40aMGjVKDKIAoKCgALfffjv27NmDsWPHdngel8slliIAjr2xIsliscDtdmP69OkQBAFyuRz79u1DTU0NJBIJlEql2BMFHOtlCwRUHo8Ha9asgclkEssZ+Hw+DB48GFKpFHl5eWLxzfr6emi1WmRmZsJisUQkn6n9uoGBWlLMmyIi6p26ut9FctHi9gILGJ+q3rwAcq8JpPx+P+666y6cd9554uyz6upqKJVKxMTEBB2bnJyM6upq8Zj2QVRgf2BfZ5YuXYonnniih6+go0Dvzfr161FbW4uYmBg0NTXBZrOhtrYWcrkcGo0GLpdLrAcFHAukAo/3+/0QBAEmk0lcYDI2NhYmkwkKhQJr167F4cOHUVtbC5lMBrvdjrKyMowYMSIi18RaUkREZ46u7ndctLjn9JryBwsXLsTu3bvx0UcfRfy5Fi9ejObmZvGnvLw8Is9jsVjQ1NSEHTt2YPfu3fj+++/R0NCApqYmSKVS1NbWor6+Hk6nE16vFz6fDz6fDzKZTOwK9fv98Hg8aG1tRWxsLFJTU5Gbm4ucnBw4HA5s374dFosFNTU1PVp8syusJUVEdOY4Xfe7/qxX9EgtWrQIX3zxBdatW4eBAweK21NSUuB2u9HU1BTUK2W1WsWuvZSUFGzZsiXofIFZfV11/6lUKqhUqh6+io4aGxvx4YcfoqSkBG63G0qlEq2trWJV8kDAFJhhGOiJak8ikcBkMkEqlaKsrAyXXHIJLrnkEuzcuVPsyQKOdd8GCnYeX3yzJ/OazGYzLBYL7HY7tFota0kREfVip+t+159FtUdKEAQsWrQI//nPf/DDDz9gyJAhQfvHjRsHhUKB77//Xty2b98+HDlyBPn5+QCA/Px87Nq1CzU1NeIxq1atgtFoRG5u7um5kC6sX78eBw4cCCpbYLPZ0NLSIs7Y6ywJz+fziZXN9Xq9GIQNGTIEiYmJWLlyJX766SccOnQIhw4dEs89ePBgNDc3o66uDsuWLYPT6QTQs2vkBWpJTZkyBXl5eUEBmdfrRWFhIdauXYvCwsJeVYKCiIgoEqIaSC1cuBAffPABli1bBoPBgOrqalRXV8PhcAAATCYTbr75Ztxzzz1Ys2YNtm7dihtvvBH5+fmYMGECAGD69OnIzc3Fddddhx07duDbb7/Fww8/jIULF0Y9Cm9tbYVCoYBWq0VzczPsdjt8Ph9ycnIgCAKUSmWnvVDAsSE9qVQKr9cr9lo5nU4cPXoUbW1tSEpKQk1NDSorK6FWq3HOOedg06ZNYuXxuro6fPzxxwBOX14TFzUmIqL+JqqB1Kuvvorm5mZccMEFGDBggPjz73//Wzzm+eefx6WXXoo5c+ZgypQpSElJwYoVK8T9MpkMX3zxBWQyGfLz8/Gb3/wGCxYswJIlS6JxSUE0Gg2ys7Oh1WphMpkQFxeHoUOHQi6Xw2w2w+fzddlrE5jNp1AooFQqYbPZUFVVhR9//BF79uyBXC5HYmIiJBKJuLxMbW2t+P9SqVScBRnpvKZAT9SGDRuwf/9++Hw+JqITEVG/ENUcqe7UllCr1Xj55Zfx8ssvd3lMRkYGvvrqq55sWo+YOXMmVq5cCZPJBJlMhpiYGHi9XkgkEnFmYaB21PEEQYDD4YDBYIBSqYRKpUJzczPi4+MBAB6PBy0tLUhNTUV6ejqcTifcbrfYk+X3+8UyEiNHjsTHH38s5prNnTv3hO0ONacq0BOlVqths9lQWlqKnJycoICN9aeIiKgv6jWz9vqi8ePHY9asWRg+fDhGjBgBqVQKQRBgMBhQXl4Op9PZaRDVXiBgkkgkiIuLwznnnIP4+HhUV1fDZrNBqVTC7/dDp9Nhzpw5SEhIgEwmQ0JCghgw7d69G+np6Rg9ejTS09Oxe/fuEz5nqEN0gaHDrKws6HQ6uN3uDosac9iPiIj6InYJRNjevXvFulHAscqs06ZNw+rVq0/aIyeTySCVSmEwGKBSqSCRSFBSUgKJRIKkpCQMHToUiYmJqKurg0QigdVqxfz58zv09HSWI3WiHqJQc6p0Oh1aW1shk8mQk5MDg8HQoUgn608REVFfxEAqAgJBytatW7Fu3ToYjUbExMSItaP27NkDqVR60qEtr9crFuWMiYmB3+9HdXU1EhISIAgCBgwYgKqqKhw6dAgulwtKpRKFhYXIy8sTgySVSoWDBw+isbFRrHoeExNzwgrlgcCou2v4dackQqjnJCIiOhNwaC8CCgsLsWXLFnz//fcoLi7G3r17xSAoLi4Oo0ePRnZ2Ntxud7fO53A4YLVaERsbi9zcXKSnpyMuLg7l5eVwu91IS0tDeno63G43du7cGTSMFgioAjWmKisrYTabT9hDZDabxdl/xw/RdeZEJRHCPScREdGZgD1SEbB9+3asW7cO+/btQ2VlJQCgra0NmZmZyMzMBACcddZZQbMPT8bpdOLw4cNwu91QqVTibD+tVhu0HIzf78fWrVvhcDig0Whgs9kgl8tx1llnAYDYE3aiHqJAYNSTInFOIiIKT0VFRY8tJnw6BNJjysrKunV8bGzsaVuTj4FUBJSXl6OiogKVlZWw2+3w+/1obGyEy+USA6m9e/d2u0cKONYr1draigEDBqChoQF2ux35+flQKpWoq6tDWloa1Go11Go1nE4nBEGA3W5HXV0dBg4ciH379sFutyM+Ph4TJ05khXIion7s7bffjnYTQiaRSHDZZZd161i9Xo+SkpLTEkwxkIqA1NRUlJeXo7m5WSyoabVaMWjQIFRUVCA7OxsejwcKhaLLgpydaWtrQ2NjI5RKpbiit9/vh0ajwdixY8XCnwBQWloKp9OJjIwMqNVqNDU1QavVIjU1VcyHYg8REVH/NG/evNPWY9NTNBoNDAbDSY+rqanBCy+8gMbGRgZSZyqdTge/3w9BEMSuU4fDgUOHDqG0tBQ333wzvvnmGyQkJKCysvKkJRCAYzP4NBoN4uPj0dbWBrlcDkEQUFFRAbvdjkGDBkGj0cDlcgEAsrOzxXwkm80W1IXLGXNERP1bTk4Ohg4dGu1m9AlMNo+AgQMHiiULAhQKBTQajbjy9syZMzFx4sRuj1FrtVro9XpxAUqNRoOSkhLU19dDp9OhtLQUO3fuFIOysrIyMak70pXNiYiI+iv2SEVAVVUVcnNzUV9fL+ZBxcbGQqvVYuDAgQCOFescNmwY0tLSUFVVdcIhPoVCgZSUFIwbNw4DBw5EWVkZbDYb1Go12trakJqaioqKCng8HkilUlxyySVQKBTi0F1P5kOxQjkREdH/8A4YAWlpaRg0aBAGDhwIv98vLlYMHBuia2trQ3FxMerr65GYmCgmj3dGLpcjNzcXo0aNgsfjwbZt28R1+yQSCfR6vbgkjEwmg9/vR0lJSVD+U0/OmDtR/SkiIqL+hoFUBJhMJgDAhAkTkJGRgaKiIvh8PnEWwV133YXhw4djx44daGxshMfj6fJcXq8XVqsVDQ0NSExMFM8dFxcHhUIBs9ksLgGjVCqRkpICqVQasVl4rFBORET0PwykIsBsNmPFihVwu92Qy+VQKBTwer1oamrC0aNHYTAYoNfrYTKZUFpaetJk84aGBhgMBtTW1mLAgAHiYsU6nQ6/+c1vgnqJAmv5RWq4jRXKiYiI/oeBVITk5ORg27ZtqKioQHV1NdxuNzweDzweD2QyGcrLy2G1WsXfT5QjFcizcjgcqKqqQmZmJkaOHCnmJ40cORIff/wxmpqaEBMTIy5WHAlnYv2pUPO6mAdGRETdxVl7EWCxWDBw4EC0tLQgPj4eWq0WMpkMzc3NkEql0Ol0aGtrg9vt7naPjsvlgtvtxpEjR9Da2opRo0aJuUk7duwQC3/a7Xbs2LEjpPZ6vV4UFhZi7dq1KCwsFKumd6Y7y8H0Nu2XzAnkdfXk8URE1H8xkIqAwLIser0eGRkZGDRoEPR6PdRqNRITE6HX6xEbGwufzycuTHwybrcbUqkUSqUSTqcTe/fuhcViwdq1a/HZZ5/BZrMBONZrFWog1dcDh1DzupgHRkRE3dX7uxPOQBKJBP/4xz+wZcsWCIIAo9EIg8EAr9cLg8GAwYMHAzi2fl51dXW3zul2uyGRSKDRaNDU1IQffvgBmZmZkEgkcDqdqKioQEZGRljt7euBQ6h5XcwDIyKi7mIgFQGrV69GRUUF4uLiUF9fj5aWFmg0GgwZMgRerxcajQZlZWVicc7ucrvdcLlcaGtrQ319vRj8ZGVloaysDBKJBGq1GqNHjw7pvH09cAg1r+tMzAMjIgrFmbZocShCXeC4vXAWO2Yg1cO8Xi+Ki4vFtfS0Wi0qKyuh1+vhdruhUqngcrkgkUi6NaTXnlwuF2tHJSUlQRAESCQS5OTkQK/XY/DgwWHd+Pt64BBqHa2erLtFRNQbnYmLFocilAWO2wtnsWMGUj3MYrFApVKhpqYG9fX1Yg9UbW0tysvLkZCQAI1GA4fDEdK3AalUCplMBrVajREjRiA/Px8GgwF2ux16vR7Dhg2D0+kMq80MHIiI+pczcdHiUHR3geP2wl3smIFUD7PZbIiLi4Pb7YbD4RArjgPH1rlzOBw4cOAA7HY7TCYTmpubu3VepVIJhUIBvV6PSZMm4eyzzxaDn8LCQlYbJyKibuOixT2HgVQP0+l02LlzJ4xGIzweDxobG2Gz2eByuSCXy2G329Hc3CyWKwgs73IiMplMXLR43LhxOPfcc4OG36KZLM6aS0RE1J/xjtfDzGYznE4n/H4/1Go1BEGA2+2G3++HIAhwuVxQKpXQ6/VoaGg4aRAFQCyTYDAYkJKSgq1bt8Lr9Yp1nMJJFvd6vdi6datY6mDMmDFh1YXi2ntERNSfsY5UD5PL5Zg8eTKSkpLExHCj0QilUilWL3e5XGhoaAgpR8put6Ompgbr16/Hrl278PHHH2PZsmXwer0wm80wGAyQSqXQarXwer0nLa5psViwfft22O122O12WCyWsOpH9fXSCURERCfCQCoCrrjiCpx77rlIT09Heno6fD4fPB6PWJ4AAPx+P1wuV7fPGagXVVxcjC+//BJ2ux0NDQ2wWCxB1cZlMpmYyH6i4po2mw1OpxMSiQQSiQQulyusIEin04kBYV8snUBERHQiDKQiYNy4ccjNzcXYsWOhVquh0Wg6LF7c0NAQ0jkDieputxuNjY3Ytm0bqqqq8PPPPwf1PHW3h0in04lDj4IgQKVShRUEte8NMxgMfa50AhER0YkwRyoCdu/ejfT0dKSlpaGiogJ2ux319fWw2Wxoa2uDXC6H3+/vVn5UgNfrhUwmg9/vh8/ng9vtht1uR1VVFdavX4+ioiLMnz+/2/lSZrMZPp9PXE5m9OjRYQVBLJ1ARET9GQOpCGjfKxQIZDQaDTweD9RqNaRSaVg1nxQKBeLi4hATEwOFQoGGhgakpaWhsLAQdrsdBw8exO9//3sUFxeLxTVHjhyJwsLCDrPq5HI5xo8fj/Hjx/fotRMREfUnDKQiINArVFpaipycHBQWFsLv90MikcBgMKCpqSmk88lkMigUCuTm5sLn8yExMRHx8fFwu9348ccfoVAooNFoUFNTgxUrVmDBggXiY09UY4qlC4iIiE4Nc6QiYPjw4Vi3bh2+/vprfPXVVzCZTDAajUhISEBTU1PIS8P4/X4YDAYYjUbEx8dDIpFg4MCBGDp0KNra2mC32xEfHw+VStWhwOeJcqYCpQtOlphOREREnWP3QwSsWLECBoMBOp0ONTU1aGxshMfjgdPphM/nE8sgdJdMJhODodzcXFitVgwdOhTDhg0Tz6/RaJCcnIyGhgasXbtW7GE6Uc4USxcQEfVPfXnR4uMFJnudTE1NTXjnD+tRdEKNjY1i8U2n04m6ujoYjUa4XC54PJ6QkszlcrkY/MhkMgwdOhQGgwFutxsymQzz5s3Dpk2bEBcXh4aGBkyYMCGoh+lECxKHU8iTiIjOfH190eJw6fV6xMbGhvQYBlIRYDQa8d1336G2thY+nw9qtRputxsKhSKkIAo4FjwFKqHHxMRAq9Xi/PPPh9VqhVQqRXx8PP7whz9ALpdj7dq14jeMQA/TiWbVnSjIIiKivquvL1oc0NDQgPfffx8rV65EZmbmSY+PjY0N+XVhINWDAsnbgWKZJpMJdrsdmZmZqKysDDmIAo71Gun1elx22WUYM2YMMjMzodVqMXXq1A6J4aH2MLF0ARFR/9RfFi2urKwEAGRmZmLEiBEReQ4GUj3IYrGgqakJBw4cgNFohFwux3nnnQen0wmv14uysjIolUq43e5unU+lUiEhIQHp6enIysrCddddd8JZdexhIiIiOr0YSPUgm82G/fv3o6qqCi6XC42NjUhMTITf78fYsWPR1NQEqVQqRsgn4/f70dbWBq/Xi5qampOWJmAPExER0enF8gc9SKfTYe/evaisrMThw4fR3NwMjUaDX//618jMzMSCBQugVCq7XavJ5/OhubkZlZWVKCkpCblsAhEREUUWA6keZDabcfDgQXg8HjFhraamBnq9HlarFfv370d1dXW3c6X8fr9YjLOxsZF1noiIiHoZDu31ILlcjuzsbJSXl8Pj8aC1tRU2mw2vvPIKXC4Xdu/eHXL5A6lUCr/fj+HDh4dd54kVzImIiCKDd9MeNmLECBQVFcFqtcLlciE1NRUNDQ2w2+1wOByQy+XdKsgpkUjEYGfAgAEYOnRo2HWetm7diu3bt8PpdEKtVsPn82H8+PEMsIiIiE4Rh/Z6mFQqRVxcHAwGAzQaDbxeL6xWK2pqauD1euH3+yGVnvxlV6vVSEhIQGxsLBQKBY4ePQqfzxdWnpTFYoHD4QAAOBwO7NixQ9zOJWKIiIjCx0Cqh9lsNowfPx7nnHMOhgwZAqvVitbWVrhcLhgMhm4P7UmlUng8HgCAx+NBaWkpVqxYgTfeeAOFhYU9knjOJWKIiIhODcdxelhsbCzq6uqQlpaGo0ePQq/XQyKRwOv1wm63Q61Ww+l0nvQ8drsdUqkUsbGxsNvtaGlpQWNjIw4dOgSpVCoOz3XHmDFjYLFY4HK5oFarMXr0aABcIoaIiOhUMZDqYZdffjnuv/9+1NfXw+12Y/78+fD7/di8eTO2bdsGqVQKmUx20jypQJJ5W1sbgGOlEDweD+Li4sThue4GUnl5eZDL5R0KdbKAJxFR/3Q6Fi3u7mLBkRTuQsShYCDVwz7//HMMHz4cUqkUhw8fRnV1NTIzMzFo0CDs2bMHgiB0K9lcKpWKQVegDAKAsN6UXRXqZAFPIqL+qT8tWhzOQsShiGogtW7dOvzpT3/C1q1bUVVVhf/85z+YNWuWuF8QBDz22GN488030dTUhPPOOw+vvvoqsrOzxWMaGhpwxx13YOXKlZBKpZgzZw5efPFF6PX6KFwR0NjYKCaTDxw4EFVVVRgxYgTGjBmDPXv24MiRI906j1KpRExMDGJiYqBWqzF06FBIJBLExcVBo9GIw3NEREShivSixaEuFhxJ4SxEHIqoBlI2mw1jxozBTTfdhNmzZ3fY/9xzz+Gll17Ce++9hyFDhuCRRx5BQUEBioqKoFarAQDXXnstqqqqsGrVKng8Htx444249dZbsWzZstN9OQAAo9GInTt3wuPxQKFQ4KyzzoJWq4XNZkNcXBxiYmLg8/lOmCelUqmgUCgQGxuL9PR0TJ8+HWeddRZKSkoglUpx9tlncxiOiIjCFulFi0/HYsG9RVQDqRkzZmDGjBmd7hMEAS+88AIefvhhXHHFFQCA999/H8nJyfjvf/+LefPmYe/evfjmm2/wyy+/iENUf/vb33DJJZfgz3/+M1JTUzs9t8vlgsvlEn9vaWnpsWvKycnB/v374fP5oFarIZFI0NTUhLKyMvh8PjGJPJDgHciFCgzj6XQ6KBQKDBw4ELGxsZg+fToMBgMUCgXy8vI6rfXEelBERNSZSN7v6JheW/7g4MGDqK6uxrRp08RtJpMJ48ePx8aNGwEAGzduRExMTFCez7Rp0yCVSrF58+Yuz7106VKYTCbxJz09vcfa7XQ6MXjwYAwdOhSDBw9GS0sLysrKYLfbkZycDL1eD5VKBblcDrlcDplMBrVaDYVCIW6PjY2FRqOBUqlEdnY2PB7PCZMCWQ+KiIg6E8n7HR3TawOp6upqAEBycnLQ9uTkZHFfdXU1kpKSgvbL5XLExcWJx3Rm8eLFaG5uFn/Ky8t7rN3l5eUoLi5GaWkpiouL0dTUBLvdDolEAp/PhwkTJiAlJQUmk0kcwpNIJJBKpVCpVLDb7bDb7bBaraiqqsLf/vY3MZDqKkhiPSgiIupMJO93dEy/HP9RqVRQqVQROXdbWxusViscDgc0Gg2GDBmCmJgYNDQ0wGQywefzwWAwwO12QyaTQSaTob6+HhKJBBKJBFqtFoIgiIFXdXX1SYMk1oMiIqLORPJ+R8f02h6pQIa91WoN2m61WsV9KSkpHWpEeL1eNDQ0RDRD/0QOHz6Mqqoq1NbWoqqqChUVFZg7dy7i4uIQFxeHn3/+GXa7HUajEcOGDYNKpYJer0dMTAz0ej38fj98Ph90Oh30ej3UajXcbjcAdBkkmc1mGAwGSKVSGAwGJqITERGdJr02kBoyZAhSUlLw/fffi9taWlqwefNm5OfnAwDy8/PR1NSErVu3isf88MMP8Pv93S5W2dOqq6vR2NiI5uZmNDY2oqqqCrt370Z6eroY7DQ0NKChoQF79+5FfX09YmJioNVqIZPJoFKpYDKZ0NbWhoaGBgwcOBAxMTHw+/0oLy9HS0tLhyViAvWgpkyZIhbfJCIiosiL6h23ra0NpaWl4u8HDx6ExWJBXFwcBg0ahLvuugtPPfUUsrOzxfIHqampYq2pESNG4Fe/+hVuueUWvPbaa/B4PFi0aBHmzZvX5Yy9SAvkMwUWCbZarWhsbERJSQnWrFmDyspKOJ1OyOVy8b82mw1utxtOpxPx8fEwGAxQq9WQyWQYMmQIhg8fDrlcjvT0dEgkEjFXisU0iYiIoiuqgVRhYSEuvPBC8fd77rkHAHD99dfj3Xffxf333w+bzYZbb70VTU1NmDRpEr755huxhhQAfPjhh1i0aBGmTp0qFuR86aWXTvu1BAR6nAKLE9fV1WH58uVQq9XisJ3L5YLX64Xf7xeDrkDCuFKphEKhgNPpRE5ODjIyMmC32yGTyZhQTkRE1MtENZC64IILTjitXyKRYMmSJViyZEmXx8TFxUWt+GZnAuvjuVwuSKVSCIIAuVyO+vr6oFpRLpcLcrkcXq8XCoUCCoUCRqMRDocDVVVVMBgM8Pv92LVrF2pra/GrX/1KnP3XPleKNaSIiIiih3fcHnbo0CFxnTwAqKurQ0xMDDQaDRwOBwYMGIDy8nKxfpTf7xeHAV0uFxQKBeRyOQRBQEtLCw4dOoTk5GT4fD4UFBTA5/MFLTAcqCHl9/tRWFiIrVu3Yty4cQyoiIioS91ZtPhUFh0+HYsF9xa80/Ywr9cLtVoNr9crVi6fNGkSNm3ahN27d6O6ulpctFipVMJgMKCmpkbMkXK5XEhMTERGRgasVitcLheampqwd+9eDBkyBDfeeGPQ8wWGBEtLS+FwOCCVSplDRUREJ3Q6Fi2O9GLBvQUDqR6WlJSExsZGKJVKuN1upKSkwGq1IjExEQ0NDfD7/QAAhUIBl8sFtVqN5ORkuFwutLS0QBAEpKSkwGAwYO/evTAajTAajQCAPXv2dHi+QA2pQK9WYFka5lAREVFXTrZocU8sOhzpxYJ7CwZSPSww/Ga326HVajFz5ky43W4cOHAALpcLPp9PLLhpMpmQkJAAhUIBu90OQRCgUCjg9XqRnJyMAQMGID4+HiqVCnFxcVAqlR2ez2w2w2KxQKvVwu/3Iysri0U5iYjohE62aHF/WnT4VPXaOlJnqrFjxyIlJQWJiYlISUkRc5ncbjeUSqU441ChUCA+Ph7z588HcGyNPqPRiISEBGi1WuTm5uKZZ57BiBEjkJKSgpiYGMycObPD8wVqSN10003Iy8uDQqFgUU4iIqLThD1SPaysrAxxcXEwGo2Qy+UoKyuD2WxGWVkZNBoN9Ho95HI5dDod0tLSIJfLMWfOHOzYsQNNTU3QarUYM2YMzj77bJjNZmi1WrF360TBUSCgIiIiotOHgVQPa2lpQUZGhvh7W1sbxo0bh7179+Lo0aMYMGAAgGP1ptLS0iCVShETE4Nrr70WZWVlcDgciIuLE2fdMTgiIiLqvRhI9bDY2FjU1dVBKpXC7/cjLi4OcrkcQ4YMwU033YR9+/bhxx9/hN/vx+DBg+H3+9HY2AipVIrs7GwYjUaWLiAiIjpDMEeqh82dOxcJCQmQyWRISEjA3LlzARybXScIgli7IzDsV1xcjOrqamzfvh2rV68OWkOPiIiIejd2e/QwtVqNBQsWdNhuNpuxbNkytLS0IC0tDYIgoKqqCnK5HImJifB4PPB4PLBYLBzSIyIiOkMwkDpN5HI5MjIy4HA4xKVe5HI5/H4/PB4PAEClUon1pAoLC7nsCxERUS/Hob3TSKfTITMzU6zxNHLkSIwcORKNjY2oqakR192rqKhAa2srBEEQq5QTERFR78NujtPIbDZj69atkEgk0Gg0GDFiBJxOJ/bv348DBw6guLgYDQ0NiI+PR1tbG4YNGwaZTMYq5URERL0UA6nTSC6XQyaTITs7GxKJBA6HA99++604tOfxeMT18kpKSiCTyZCTk8Mq5URERL0UA6nTLLDIMABIJBJUVFRAr9ejtrYWdXV1aGtrw7nnngur1Qq3280q5URE1OPazyBXKBQd9tfU1EShVWcmBlIR5PV6YbFYxKTxkSNH4vDhw6ivr4dWq0VmZibS09Nx+PBhcZ09lUqF6upq5OTkIC8vj7P36P9r796DorzOMIA/u8IuIKxgFlhRFLwhagCDStfUpjNS0Ekz2joTRadF4+gUL623VjMdwTSZaLXTMV5imjYqThqjpjFeijaIglEREUGjGCuI4oWLWQQWBBH27R8O37hyEVfYzdLnN7Mz7Dnn+3jPu+vyeva7EBF1um3btj1zjKenJ3x8fOwQjXNjIdWF8vLyYDKZkJGRgerqajQ0NGDKlCmoq6tDXV0d7t69i5///Of44osv4OPjA5PJBJVKBbVajYiICK5EERFRl5g+fTo0Gg127tyJgwcPYtCgQS3G+Pj4wGAwOCA658JCqgvV1tYiIyMDlZWVUKvVKC8vx8mTJxETEwPg8W1ioqKiUFhYiIqKCoSFhWHQoEHw9vbmShQREXWZoUOHws3NDQAwaNAghIaGOjgi58VCqgv17NkT1dXVUKvVEBH07NkTZrMZACAi8PDwgIuLC2bMmIG8vLwO3ZyYiIiIfjhYSHWhiIgI+Pr6ory8HFqtFmFhYaivr4darbYqmHglcyIiIufEQqoLubi4YMWKFdizZw+qqqrQq1cvvPnmm8pyKhERETk3FlJdrK177xEREZHz4y1iiIiIiGzEFSk7efqaUs03Im6rnYiIiH74+BfbTvLy8mA2m2GxWHDu3Dnk5OQgMjISjY2NqKurg0qlUm5QzAPPiYiInAO/2rOT5lvDFBQUoK6uDvX19TCbzbhw4YLVLWN4g2IiIiLnwRUpO2m+hlRdXR2AxwehWywW3Lx5E2azGRUVFdDr9dDr9Rg3bhy/3iMiInICXJGyk4iICHh5ecHDwwPu7u4YPHgwrl27hn79+qGiogJVVVW4d+8eAgICkJeX5+hwiYioG7t37x5vTNxJuOxhJ80X3YyIiFCuYq5SqRASEoKGhgb4+flBpVLBxcWFX+8REVGX2rp1KwDemLgzsJCysyevYu7h4QGz2Qx3d3flrL3mW8cQERF1lbNnzypFFG9M/GJYSDlQ8+rUkCFDcPv2bQQGBsLLy4v32iMioi4VEhICnU7n6DC6BRZSDsR77BERETk3HmxOREREZCMWUkREREQ2YiFFREREZCMWUkREREQ2YiFFREREZCMWUkREREQ2YiFFREREZCMWUkREREQ2YiFFREREZCMWUkREREQ2YiFFREREZCMWUkREREQ26jaF1JYtWxAUFAQ3NzdERUXh7Nmzjg6JiIiIurluUUjt3r0bS5cuRVJSEs6fP4/w8HDExsaivLzc0aERERFRN6YSEXF0EC8qKioKY8aMwebNmwEAFosFgYGBWLRoEVauXNli/MOHD/Hw4UPleXV1NQIDA1FVVQWdTme3uImIiLoS/951PRdHB/CiGhoakJOTg7fffltpU6vViI6ORmZmZqvbrFmzBu+8806L9urq6i6Lk4iIqDN5eXlBpVK1O6atv3fUeZx+Reru3bvo27cvTp8+DaPRqLT/4Q9/QEZGBrKyslps83SFfufOHQwfPtwu8RIREXWGjqwqcUWq6zn9ipQttFottFqt8tzT0xO3bt3qUHXfluY3561bt/jm7GLMtf0w1/bFfNtPd8i1l5fXM8c8/ffOy8sLVVVVHdqWOsbpCym9Xo8ePXqgrKzMqr2srAwGg6FD+1Cr1ejXr1+nxKPT6Zz2H6WzYa7th7m2L+bbfv7fcq1Sqf6v5msPTn/WnkajQWRkJNLS0pQ2i8WCtLQ0q6/6iIiIiDqb069IAcDSpUsRHx+P0aNHY+zYsdiwYQNqa2sxe/ZsR4dGRERE3Vi3KKSmTZuGe/fuITExEaWlpYiIiMCRI0fg7+9vtxi0Wi2SkpKsvoumrsFc2w9zbV/Mt/0w19RZnP6sPSIiIiJHcfpjpIiIiIgchYUUERERkY1YSBERERHZiIUUERERkY1YSHWCLVu2ICgoCG5uboiKisLZs2cdHZLTW716NVQqldVj2LBhSn99fT0WLFiAl156CZ6enpg6dWqLi7JS206cOIE33ngDAQEBUKlU+Oqrr6z6RQSJiYno06cP3N3dER0djWvXrlmNqaiowMyZM6HT6eDt7Y05c+agpqbGjrNwDs/K9axZs1q81ydOnGg1hrnumDVr1mDMmDHw8vKCn58fpkyZgqtXr1qN6chnR3FxMV5//XV4eHjAz88Pv//979HY2GjPqZATYSH1gnbv3o2lS5ciKSkJ58+fR3h4OGJjY1FeXu7o0JzeiBEjUFJSojxOnjyp9C1ZsgQHDx7E3r17kZGRgbt37+KXv/ylA6N1LrW1tQgPD8eWLVta7V+3bh02btyIjz76CFlZWejZsydiY2NRX1+vjJk5cyYuX76M1NRUHDp0CCdOnMC8efPsNQWn8axcA8DEiROt3uu7du2y6meuOyYjIwMLFizAmTNnkJqaikePHiEmJga1tbXKmGd9djQ1NeH1119HQ0MDTp8+jeTkZOzYsQOJiYmOmBI5A6EXMnbsWFmwYIHyvKmpSQICAmTNmjUOjMr5JSUlSXh4eKt9lZWV4urqKnv37lXarly5IgAkMzPTThF2HwBk3759ynOLxSIGg0HWr1+vtFVWVopWq5Vdu3aJiEh+fr4AkOzsbGXM4cOHRaVSyZ07d+wWu7N5OtciIvHx8TJ58uQ2t2GubVdeXi4AJCMjQ0Q69tmRkpIiarVaSktLlTFbt24VnU4nDx8+tO8EyClwReoFNDQ0ICcnB9HR0UqbWq1GdHQ0MjMzHRhZ93Dt2jUEBARg4MCBmDlzJoqLiwEAOTk5ePTokVXehw0bhv79+zPvnaCoqAilpaVW+e3VqxeioqKU/GZmZsLb2xujR49WxkRHR0OtViMrK8vuMTu79PR0+Pn5ISQkBAkJCTCZTEofc227qqoqAEDv3r0BdOyzIzMzEy+//LLVBZ1jY2NRXV2Ny5cv2zF6chYspF7A999/j6amphZXUPf390dpaamDouoeoqKisGPHDhw5cgRbt25FUVERxo8fD7PZjNLSUmg0Gnh7e1ttw7x3juYctve+Li0thZ+fn1W/i4sLevfuzdfgOU2cOBE7d+5EWloa/vznPyMjIwOTJk1CU1MTAObaVhaLBYsXL8arr76KkSNHAkCHPjtKS0tbfe839xE9rVvcIoa6n0mTJik/h4WFISoqCgMGDMCePXvg7u7uwMiIOtf06dOVn19++WWEhYVh0KBBSE9Px4QJExwYmXNbsGABLl26ZHVsJVFX4IrUC9Dr9ejRo0eLMz7KyspgMBgcFFX35O3tjaFDh6KgoAAGgwENDQ2orKy0GsO8d47mHLb3vjYYDC1OqGhsbERFRQVfgxc0cOBA6PV6FBQUAGCubbFw4UIcOnQIx48fR79+/ZT2jnx2GAyGVt/7zX1ET2Mh9QI0Gg0iIyORlpamtFksFqSlpcFoNDowsu6npqYGhYWF6NOnDyIjI+Hq6mqV96tXr6K4uJh57wTBwcEwGAxW+a2urkZWVpaSX6PRiMrKSuTk5Chjjh07BovFgqioKLvH3J3cvn0bJpMJffr0AcBcPw8RwcKFC7Fv3z4cO3YMwcHBVv0d+ewwGo349ttvrYrX1NRU6HQ6DB8+3D4TIefi6KPdnd3nn38uWq1WduzYIfn5+TJv3jzx9va2OuODnt+yZcskPT1dioqK5NSpUxIdHS16vV7Ky8tFROQ3v/mN9O/fX44dOybnzp0To9EoRqPRwVE7D7PZLLm5uZKbmysA5K9//avk5ubKzZs3RURk7dq14u3tLfv375eLFy/K5MmTJTg4WOrq6pR9TJw4UUaNGiVZWVly8uRJGTJkiMTFxTlqSj9Y7eXabDbL8uXLJTMzU4qKiuTo0aPyyiuvyJAhQ6S+vl7ZB3PdMQkJCdKrVy9JT0+XkpIS5fHgwQNlzLM+OxobG2XkyJESExMjeXl5cuTIEfH19ZW3337bEVMiJ8BCqhNs2rRJ+vfvLxqNRsaOHStnzpxxdEhOb9q0adKnTx/RaDTSt29fmTZtmhQUFCj9dXV1Mn/+fPHx8REPDw/5xS9+ISUlJQ6M2LkcP35cALR4xMfHi8jjSyCsWrVK/P39RavVyoQJE+Tq1atW+zCZTBIXFyeenp6i0+lk9uzZYjabHTCbH7b2cv3gwQOJiYkRX19fcXV1lQEDBsjcuXNb/EeMue6Y1vIMQLZv366M6chnx40bN2TSpEni7u4uer1eli1bJo8ePbLzbMhZqERE7L0KRkRERNQd8BgpIiIiIhuxkCIiIiKyEQspIiIiIhuxkCIiIiKyEQspIiIiIhuxkCIiIiKyEQspIiIiIhuxkCIiIiKyEQspInohq1atwrx58xwdhsM8ePAAU6dOhU6ng0qlanFD3GYrV67EokWL7BscEXU5FlJEnWDWrFmYMmWKzdv/9Kc/xeLFizstHnspLS3FBx98gD/+8Y9K24kTJ/DGG28gICAAKpUKX331VYvtRASJiYno06cP3N3dER0djWvXrlmNqaiowMyZM6HT6eDt7Y05c+agpqbGaszFixcxfvx4uLm5ITAwEOvWreuSebYnOTkZ33zzDU6fPo2SkhLcv38fKpUKeXl5VuOWL1+O5ORkXL9+3e4xElHXYSFF1I2JCBobG7ts///4xz8wbtw4DBgwQGmrra1FeHg4tmzZ0uZ269atw8aNG/HRRx8hKysLPXv2RGxsLOrr65UxM2fOxOXLl5GamopDhw7hxIkTVitf1dXViImJwYABA5CTk4P169dj9erV+Pjjj7tmsm0oLCxEaGgoRo4cCYPBAJVK1eo4vV6P2NhYbN261a7xEVEXc+yt/oi6h/j4eJk8eXKb/enp6TJmzBjRaDRiMBhkxYoVyk1Q4+PjW9xktaioqNX97Ny5UyIjI8XT01P8/f0lLi5OysrKlP7mG+SmpKTIK6+8Iq6urnL8+HFpamqS999/X4KCgsTNzU3CwsJk7969ynaNjY3y1ltvKf1Dhw6VDRs2PHPeI0aMkM2bN7fZD0D27dtn1WaxWMRgMMj69euVtsrKStFqtbJr1y4REcnPzxcAkp2drYw5fPiwqFQquXPnjoiIfPjhh+Lj4yMPHz5UxqxYsUJCQkLajKeiokJmzJgher1e3NzcZPDgwbJt2zalPysrSyIiIkSr1UpkZKR8+eWXAkByc3Nb3d9rr71m9bo9/by5rVlycrL069evzfiIyPmwkCLqBO0VUrdv3xYPDw+ZP3++XLlyRfbt2yd6vV6SkpJE5HERYTQaZe7cuVJSUiIlJSXS2NjY6r4++eQTSUlJkcLCQsnMzBSj0SiTJk1S+psLqbCwMPn666+loKBATCaTvPfeezJs2DA5cuSIFBYWyvbt20Wr1Up6erqIiDQ0NEhiYqJkZ2fL9evX5dNPPxUPDw/ZvXt3m3M2mUyiUqnkzJkzbY5prZAqLCxstTj5yU9+Ir/97W+VeXp7e1v1P3r0SHr06CFffvmliIj86le/apHzY8eOCQCpqKhoNZ4FCxZIRESEZGdnS1FRkaSmpsqBAwdERMRsNouvr6/MmDFDLl26JAcPHpSBAwe2W0iZTCaZO3euGI1GKSkpEZPJJGfPnhUAcvToUaWt2ZUrV9otlInI+bjYc/WL6P/Rhx9+iMDAQGzevBkqlQrDhg3D3bt3sWLFCiQmJqJXr17QaDTw8PCAwWBod19vvfWW8vPAgQOxceNGjBkzBjU1NfD09FT6/vSnP+FnP/sZAODhw4d4//33cfToURiNRmXbkydP4m9/+xtee+01uLq64p133lG2Dw4ORmZmJvbs2YM333yz1ViKi4shIggICHiufJSWlgIA/P39rdr9/f2VvtLSUvj5+Vn1u7i4oHfv3lZjgoODW+yjuc/Hx6fVmEeNGoXRo0cDAIKCgpS+zz77DBaLBZ988gnc3NwwYsQI3L59GwkJCW3OpXfv3vDw8IBGo1Feu+rqagDASy+91OL1bM7VzZs3rX43ETkvFlJEXezKlSswGo1Wx868+uqrqKmpwe3bt9G/f/8O7ysnJwerV6/GhQsXcP/+fVgsFgCPC4Thw4cr45oLBQAoKCjAgwcPlMKqWUNDA0aNGqU837JlC7Zt24bi4mLU1dWhoaEBERERbcZSV1cHAHBzc+tw/I6WkJCAqVOn4vz584iJicGUKVMwbtw4AI9fp7CwMKv5NBeencXd3R3A4zP9iKh74MHmRE6itrYWsbGx0Ol0+Oc//4ns7Gzs27cPwOOi6Ek9e/ZUfm4+0+3f//438vLylEd+fj6++OILAMDnn3+O5cuXY86cOfj666+Rl5eH2bNnt9jvk/R6PQDg/v37zzWP5lWasrIyq/aysjKlz2AwoLy83Kq/sbERFRUVVmNa28eTv+NpkyZNws2bN7FkyRLcvXsXEyZMwPLly58r/hdRUVEBAPD19bXb7ySirsVCiqiLhYaGIjMzEyKitJ06dQpeXl7o168fAECj0aCpqand/Xz33XcwmUxYu3Ytxo8fj2HDhrUoNlozfPhwaLVaFBcXY/DgwVaPwMBAJZ5x48Zh/vz5GDVqFAYPHozCwsJ29zto0CDodDrk5+c/M4YnBQcHw2AwIC0tTWmrrq5GVlaWsgJkNBpRWVmJnJwcZcyxY8dgsVgQFRWljDlx4gQePXqkjElNTUVISEirX+s18/X1RXx8PD799FNs2LBBOcsvNDQUFy9etDpz8MyZM881N+Dxawmg1dfz0qVLcHV1xYgRI557v0T0w8RCiqiTVFVVWa345OXl4datW5g/fz5u3bqFRYsW4bvvvsP+/fuRlJSEpUuXQq1+/E8wKCgIWVlZuHHjBr7//nvlK7sn9e/fHxqNBps2bcL169dx4MABvPvuu8+My8vLC8uXL8eSJUuQnJyMwsJCnD9/Hps2bUJycjIAYMiQITh37hz+85//4L///S9WrVqF7OzsdverVqsRHR2NkydPWrXX1NQo8weAoqIi5OXlobi4GACgUqmwePFivPfeezhw4AC+/fZb/PrXv0ZAQIByLa7Q0FBMnDgRc+fOxdmzZ3Hq1CksXLgQ06dPV44zmjFjBjQaDebMmYPLly9j9+7d+OCDD7B06dI2Y05MTMT+/ftRUFCAy5cv49ChQwgNDVX2p1KpMHfuXOTn5yMlJQV/+ctfnpnfp/n5+cHd3R1HjhxBWVkZqqqqlL5vvvkG48ePV77iI6JuwNFHuxN1B61dwgCAzJkzR0Tav/yBiMjVq1flRz/6kbi7u7d7Vtdnn30mQUFBotVqxWg0yoEDB6zOKms+a+/+/ftW21ksFtmwYYOEhISIq6ur+Pr6SmxsrGRkZIiISH19vcyaNUt69eol3t7ekpCQICtXrpTw8PB2552SkiJ9+/aVpqYmpa05hqcf8fHxVvGsWrVK/P39RavVyoQJE+Tq1atW+zaZTBIXFyeenp6i0+lk9uzZYjabrcZcuHBBfvzjH4tWq5W+ffvK2rVr24333XffldDQUHF3d5fevXvL5MmT5fr160p/ZmamhIeHi0ajkYiICPnXv/7V7ll7IiK/+93vrC5xICLy97//XQIDA0WtVlv1hYSEKJd4IKLuQSXyxPcNRETPQUQQFRWFJUuWIC4uztHhdLobN24gODgYubm57R543xGHDx/GsmXLcPHiRbi48Dwfou6CX+0Rkc1UKhU+/vjjLr16endRW1uL7du3s4gi6ma4IkVE1IbOXJEiou6JhRQRERGRjfjVHhEREZGNWEgRERER2YiFFBEREZGNWEgRERER2YiFFBEREZGNWEgRERER2YiFFBEREZGNWEgRERER2eh/HH70ODQUX50AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.jointplot(\n", " data=df,\n", " x='LotArea',\n", " y='SalePrice',\n", " kind='scatter',\n", " color='black', \n", " joint_kws={'s':10, 'alpha':0.25, 'edgecolor':None},\n", " marginal_kws={'bins':30, 'color':'grey', 'edgecolor':'black'}\n", ")\n", "\n", "plt.suptitle('Relationship between lot area and sale price')\n", "g.ax_joint.set_xlabel('Lot area (1000 sq ft)')\n", "g.ax_joint.set_ylabel('Sale price ($1000s)')\n", "g.ax_joint.xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "g.ax_joint.yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "195e2406", "metadata": {}, "source": [ "### 2.5. Normalized scatter plot" ] }, { "cell_type": "code", "execution_count": 12, "id": "347e914c", "metadata": {}, "outputs": [], "source": [ "# Normalize sale price by lot area\n", "df['PricePerLotSqFt'] = df['SalePrice'] / df['LotArea']" ] }, { "cell_type": "code", "execution_count": 13, "id": "2a333273", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, sharex=True, sharey=True, figsize=(12, 5))\n", "\n", "subset = df[df['MSZoning'] == 'RL']\n", "\n", "axs[0].set_title('Zoning: RL')\n", "sns.scatterplot(data=subset, x='LotArea', y='PricePerLotSqFt', s=5, color='black', edgecolor=None, ax=axs[0])\n", "axs[0].set_xscale('log')\n", "axs[0].set_yscale('log')\n", "axs[0].set_xlabel('Lot area (1000 sq ft)')\n", "axs[0].set_ylabel('Price per log sq ft ($)')\n", "axs[0].xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "axs[0].yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x:.0f}'))\n", "\n", "subset = df[df['MSZoning'] != 'RL']\n", "\n", "axs[1].set_title('Zoning: all others')\n", "sns.scatterplot(data=subset, x='LotArea', y='PricePerLotSqFt', hue='MSZoning', s=5, edgecolor=None, ax=axs[1])\n", "axs[1].set_xscale('log')\n", "axs[1].set_yscale('log')\n", "axs[1].set_xlabel('Lot area (1000 sq ft)')\n", "axs[1].set_ylabel('Price per log sq ft ($)')\n", "axs[1].xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "axs[1].yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x:.0f}'))\n", "axs[1].legend(title='Zoning', markerscale=3)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "dc04288d", "metadata": {}, "source": [ "### 2.6. Matplotlib contour plot" ] }, { "cell_type": "code", "execution_count": 14, "id": "504cdd72", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create grid for contour plot\n", "x_bins = np.linspace(df['LotArea'].min(), df['LotArea'].max(),100)\n", "y_bins = np.linspace(df['SalePrice'].min(), df['SalePrice'].max(), 100)\n", "\n", "# Calculate 2D histogram\n", "hist, x_edges, y_edges = np.histogram2d(df['LotArea'], df['SalePrice'], bins=[x_bins, y_bins])\n", "\n", "# Create contour plot\n", "plt.title('Density of sales: lot area vs sale price')\n", "\n", "# Create filled contour plot with log-transformed data\n", "contour = plt.contourf(\n", " x_edges[:-1],\n", " y_edges[:-1],\n", " hist.T,\n", " levels=30,\n", " cmap='viridis'\n", ")\n", "\n", "# Add colorbar\n", "cbar = plt.colorbar(contour)\n", "cbar.set_label('Number of sales', rotation=270, labelpad=20)\n", "\n", "plt.xlabel('Lot area (1000 sq ft)')\n", "plt.ylabel('Sale price ($1000s)')\n", "plt.gca().xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "46b366ac", "metadata": {}, "source": [ "### 2.7. Seaborn 2D KDE plot" ] }, { "cell_type": "code", "execution_count": 15, "id": "ddfc536e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data=df, x='LotArea', y='SalePrice', cmap='viridis', fill=True, cbar=True, levels=5)\n", "plt.title('Density of sales: lot area vs sale price')\n", "plt.xlabel('Lot area (1000 sq ft)')\n", "plt.ylabel('Sale price ($1000s)')\n", "plt.gca().xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5825b489", "metadata": {}, "source": [ "## 3. House count by neighborhood\n", "\n", "### 3.1. Matplotlib bar plot" ] }, { "cell_type": "code", "execution_count": 16, "id": "39a3a785", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Count houses by neighborhood\n", "neighborhood_counts = df['Neighborhood'].value_counts().sort_values(ascending=True)\n", "\n", "# Create bar chart\n", "plt.figure(figsize=(6,8))\n", "plt.title('Number of houses by neighborhood')\n", "plt.barh(neighborhood_counts.index, neighborhood_counts.values, color='grey', edgecolor='black')\n", "plt.xlabel('Number of houses')\n", "plt.ylabel('Neighborhood')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b21561ed", "metadata": {}, "source": [ "### 3.2. Matplotlib cumulative histogram" ] }, { "cell_type": "code", "execution_count": 17, "id": "d86195f3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Number of houses by neighborhood')\n", "plt.hist(neighborhood_counts, cumulative=True, density=True, color='grey', edgecolor='black', bins=20)\n", "plt.xlabel('Number of houses')\n", "plt.ylabel('Cumulative proportion of neighborhoods')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "65f35880", "metadata": {}, "source": [ "### 3.3. Seaborn empirical cumulative distribution plot" ] }, { "cell_type": "code", "execution_count": 18, "id": "9efe1f74", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Number of houses by neighborhood')\n", "sns.ecdfplot(neighborhood_counts, color='black')\n", "plt.xlabel('Number of houses')\n", "plt.ylabel('Cumulative proportion of neighborhoods')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "70b9ac0c", "metadata": {}, "source": [ "## 4. SalePrice distribution by neighborhood\n", "\n", "### 4.1. Matplotlib boxplot" ] }, { "cell_type": "code", "execution_count": 19, "id": "2fa29049", "metadata": {}, "outputs": [], "source": [ "# Group sale prices by neighborhood\n", "prices_by_neighborhood = df.groupby('Neighborhood')['SalePrice']\n", "\n", "# Get list of neighborhoods ordered by median sale price\n", "median_prices = prices_by_neighborhood.median()\n", "sorted_neighborhoods = median_prices.sort_values(ascending=False).index.tolist()\n", "\n", "# Convert GroupBy object to series of lists\n", "prices_by_neighborhood = prices_by_neighborhood.apply(list)\n", "\n", "# Sort neighborhoods by median sale price\n", "prices_by_neighborhood = prices_by_neighborhood.reindex(sorted_neighborhoods)" ] }, { "cell_type": "code", "execution_count": 20, "id": "cd43a735", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create box plot\n", "plt.title('Sale price distribution by neighborhood (top 10)')\n", "plt.boxplot(prices_by_neighborhood.values, tick_labels=prices_by_neighborhood.index)\n", "plt.xlabel('Neighborhood', fontsize=12)\n", "plt.ylabel('Sale price ($1000s)', fontsize=12)\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.xticks(rotation=45, ha='right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f844547b", "metadata": {}, "source": [ "### 4.2. Seaborn boxplot" ] }, { "cell_type": "code", "execution_count": 21, "id": "933878e9", "metadata": {}, "outputs": [], "source": [ "# Create list of neighborhoods ordered by median sale price\n", "neighborhoods = df['SalePrice'].groupby(df['Neighborhood']).median().sort_values(ascending=False).index.tolist()" ] }, { "cell_type": "code", "execution_count": 22, "id": "dc73f788", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Sale price distribution by neighborhood')\n", "sns.boxplot(data=df, x='Neighborhood', y='SalePrice', order=neighborhoods)\n", "plt.xlabel('Neighborhood', fontsize=12)\n", "plt.ylabel('Sale price ($1000s)', fontsize=12)\n", "plt.gca().yaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "plt.xticks(rotation=45, ha='right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "100ea86b", "metadata": {}, "source": [ "### 4.3. Matplotlib/Seaborn ridgeline chart" ] }, { "cell_type": "code", "execution_count": 23, "id": "de29ef48", "metadata": {}, "outputs": [], "source": [ "# Get mean sale price by neighborhood\n", "mean_prices = df.groupby('Neighborhood')['SalePrice'].mean()" ] }, { "cell_type": "code", "execution_count": 24, "id": "0cd02a0b", "metadata": {}, "outputs": [], "source": [ "# Generate a color palette with colors for each neighborhood\n", "pallet = sns.color_palette(palette='viridis', n_colors=len(mean_prices))" ] }, { "cell_type": "code", "execution_count": 25, "id": "8697111b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(ncols=1, nrows=len(mean_prices), sharex=True, figsize=(5,8))\n", "\n", "fig.suptitle('Sale price distribution by neighborhood', y=0.9)\n", "\n", "for i, neighborhood in enumerate(mean_prices.sort_values().index):\n", "\n", " subset = df[df['Neighborhood'] == neighborhood]\n", "\n", " sns.kdeplot(\n", " data=subset,\n", " x='SalePrice',\n", " fill=True,\n", " lw=0,\n", " alpha=1,\n", " color=pallet[i],\n", " ax=ax[i]\n", " )\n", "\n", " sns.kdeplot(\n", " data=subset,\n", " x='SalePrice',\n", " color='w',\n", " lw=1,\n", " ax=ax[i]\n", " )\n", "\n", " ax[i].text(np.min(df['SalePrice'] - 2e5), 0, neighborhood, color=pallet[i])\n", " ax[i].set_axis_off()\n", "\n", "\n", "plt.subplots_adjust(hspace=-0.7)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "id": "fc3ff701", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(ncols=1, nrows=len(mean_prices), figsize=(6,8))\n", "\n", "fig.patch.set_facecolor('black')\n", "\n", "fig.suptitle('DISTRIBUTIONS', color='white', fontsize=44)\n", "fig.supxlabel('SALE PRICE', color='white', fontsize=36)\n", "\n", "for i, neighborhood in enumerate(mean_prices.sort_values().index):\n", "\n", " subset = df[df['Neighborhood'] == neighborhood]\n", "\n", " sns.kdeplot(\n", " data=subset,\n", " x='SalePrice',\n", " fill=True,\n", " lw=0,\n", " alpha=1,\n", " color='black',\n", " ax=ax[i],\n", " cut=400,\n", " bw_adjust=0.5\n", " )\n", "\n", " sns.kdeplot(\n", " data=subset,\n", " x='SalePrice',\n", " color='w',\n", " lw=2,\n", " ax=ax[i],\n", " cut=400,\n", " bw_adjust=0.5\n", " )\n", "\n", " ax[i].set_xlim(df['SalePrice'].min()-2e5, df['SalePrice'].max()+2e5)\n", "\n", " ax[i].set_axis_off()\n", " ax[i].set_facecolor('black')\n", "\n", "\n", "plt.subplots_adjust(hspace=-0.8)\n", "plt.savefig('joy_division_plot.png')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "39d6db10", "metadata": {}, "source": [ "## 5. Proportion of houses by MSZoning\n", "\n", "### 5.1. Matplotlib pie chart" ] }, { "cell_type": "code", "execution_count": 27, "id": "dd55c440", "metadata": {}, "outputs": [], "source": [ "# Count houses by MSZoning\n", "zoning_counts = df['MSZoning'].value_counts()\n", "\n", "# Get percentages for each zoning classification\n", "zoning_percentages = zoning_counts / zoning_counts.sum() * 100\n", "\n", "# Format strings for legend labels with percentages\n", "legend_labels = [f'{zoning} ({percentage:.1f}%)' for zoning, percentage in zip(zoning_counts.index, zoning_percentages)]" ] }, { "cell_type": "code", "execution_count": 28, "id": "c7062ae0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Distribution of Houses by Zoning Classification')\n", "plt.pie(zoning_counts.values)\n", "plt.legend(labels=legend_labels, loc='upper right')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e4096b98", "metadata": {}, "source": [ "### 5.2. Pandas table" ] }, { "cell_type": "code", "execution_count": 29, "id": "f631511f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HousesPercentage
MSZoning
RL115178.8%
RM21814.9%
FV654.5%
RH161.1%
C (all)100.7%
\n", "
" ], "text/plain": [ " Houses Percentage\n", "MSZoning \n", "RL 1151 78.8%\n", "RM 218 14.9%\n", "FV 65 4.5%\n", "RH 16 1.1%\n", "C (all) 10 0.7%" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Count houses by MSZoning\n", "zoning_counts = df['MSZoning'].value_counts()\n", "\n", "# Get percentages for each zoning classification\n", "zoning_percentages = zoning_counts / zoning_counts.sum() * 100\n", "\n", "# Format zoning percentages for display\n", "zoning_percentages = [f'{zoning_percentage:.1f}%' for zoning_percentage in zoning_percentages]\n", "\n", "# Create dataframe containing zoning counts and percentages\n", "zoning_df = pd.DataFrame({\n", " 'Houses': zoning_counts,\n", " 'Percentage': zoning_percentages\n", "})\n", "\n", "zoning_df.head()" ] }, { "cell_type": "markdown", "id": "5c842744", "metadata": {}, "source": [ "### 5.3. Seaborn bar plot" ] }, { "cell_type": "code", "execution_count": 30, "id": "a9579418", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title('Distribution of houses by zoning classification')\n", "sns.barplot(x=zoning_counts.index, y=zoning_counts.values, color='grey', edgecolor='black')\n", "plt.ylabel('Number of houses')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f1da4ec9", "metadata": {}, "source": [ "### 5.4. Matplotlib/pywaffle waffle chart" ] }, { "cell_type": "code", "execution_count": 31, "id": "b0baa10d", "metadata": {}, "outputs": [], "source": [ "from pywaffle import Waffle" ] }, { "cell_type": "code", "execution_count": 32, "id": "a830bc29", "metadata": {}, "outputs": [], "source": [ "# Count houses by MSZoning\n", "zoning_counts = df['MSZoning'].value_counts()\n", "\n", "# Convert to dictionary for pywaffle\n", "data = zoning_counts.to_dict()" ] }, { "cell_type": "code", "execution_count": 33, "id": "b10778fa", "metadata": {}, "outputs": [], "source": [ "# Generate color palette\n", "colors = sns.color_palette(palette='twilight', n_colors=len(zoning_counts))" ] }, { "cell_type": "code", "execution_count": 34, "id": "2eaa98ce", "metadata": {}, "outputs": [ { "data": { "image/png": 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x5JNPYsiQIdiyZQu+/vprpKeno1u3brJdwqSxjjU5Dws7svLRRx8BAMaMGVNnO7VajREjRuDtt9/GiRMnsGrVKuzZs0c6fdbQv1RhecpFCIHTp0+bHWFo1qwZDAaD1XMt/8q1p2+hoaG4fPmy1anpkydPSo83hNDQUJw6dcrqP4SGzqmJXq+Ht7c3/u///s/qsZMnT0KtVqNNmzYAbh39sdzOtR1R7N+/P1atWoWMjAykpKTg+PHj2Lp1KwAgLCwMubm5GDhwIEaOHGl169Wrl83rqsvp06et/qP773//CwBm+8/YsWOh1+uRkpKC7du3o7i42OaLP7/++utIS0vD5s2b0blzZ7PH7Nm+cqjalyy/KVteXm7TEfCwsDCYTCacOHHCrtxt27ahffv2+PzzzzFz5kyMGTMGI0eORElJiVVbDw8PTJo0Ce+99x6ysrIwf/58bN682azPzZs3x+zZs/HJJ5/gf//7H3r27Nkgvx6h1+vh5+eHX3/9td7XM2zYMGzcuBEPPfQQRo8ejZEjR1q9Nxrj5w0pFws7MrNnzx68/PLLaNeuHR5++OFa2+Xl5Vktq/pGW9XpMR8fHwDWBcDt2rx5s9mH3bZt25CdnY1x48ZJy8LCwvD9999LlyMAKudlWZ7msqdv48ePR0VFBd59912z5atXr4ZKpTLLvxPjx4/HlStXzL71WF5ejnfeeQc6nQ6RkZENklMTNzc3jB49Gjt27DD7jz0nJwcff/wxBg0aJB2BqprP8+2330rtioqKzC7LAlSe9rMspiz3kenTp6OiogIvv/yyVZ/Ky8ul8bFlXXW5fPkytm/fLt3Pz8/H5s2b0bt3bwQFBUnLNRoNoqOj8emnnyI5ORk9evQwu1B3bf79739jxYoVWL58ufQTVdXZs33l0LdvXwQEBGDDhg0oLy+XlqekpNh0Ci8qKgpqtRrx8fFWf4jUdaSo6uhS9TaHDx/GoUOHzNrl5uaa3Ver1dI4VI23ZRudTocOHTrYfHq+LlU/Nfbll18iIyPD6vGq/ru5uVm93tTUVFy6dMlsWWP8vCHl4uVOXNi//vUvnDx5EuXl5cjJycGePXuQnp6O0NBQfPHFF3VesDM+Ph7ffvstJkyYgNDQUFy9ehXvvfceQkJCMGjQIACVBYC/vz8++OAD+Pr6wsfHB/feey/atWt3W/1t3rw5Bg0ahNmzZyMnJwcJCQno0KGD2SVZ5s6di23btmHs2LGYPn06srKysGXLFrPJxfb2bdKkSRg2bBiWL1+Oc+fOoVevXti9ezd27NiBRYsWWa37ds2bNw/r169HbGwsjhw5grZt22Lbtm04cOAAEhIS6pzz2BBeeeUV6dqEjz32GDQaDdavXw+j0Yg333xTajd69GjcfffdiIuLw9NPPw03NzckJiZCr9fjwoULUrtNmzbhvffew5QpUxAWFoaCggJs2LABfn5+GD9+PIDKuXPz58/Ha6+9hszMTIwePRru7u44deoUUlNTsWbNGumnn+pbV106duyIuLg4/PjjjwgMDERiYiJycnKQlJRk1TYmJgZr167F3r17pUtt1Cc6Ohp6vR7h4eFm138EgFGjRiEwMNDm7SsHDw8PrFy5En/5y18wfPhwTJ8+HefOnUNycjLCwsLqPcLUoUMHLF++HC+//DIGDx6MBx54AFqtFj/++COCg4OlS4lYmjhxIj7//HNMmTIFEyZMwNmzZ/HBBx+ga9euZqfU586di7y8PAwfPhwhISE4f/483nnnHfTu3Vuaa9a1a1cMHToUERERaN68OTIyMrBt27YG+13kV199Fbt370ZkZCTmzZuHLl26IDs7G6mpqfjuu+/g7++PiRMnIj4+HrNnz8aAAQPwyy+/ICUlxewLMkDj/LwhBXPCN3HJyaoup1B18/DwEEFBQWLUqFFizZo1ZpfVqGJ52YD//Oc/YvLkySI4OFh4eHiI4OBgER0dLf773/+aPW/Hjh2ia9euQqPRmH3dv7ZLDlQ9VtMlHD755BPx7LPPipYtWwovLy8xYcIEcf78eavn/+1vfxOtW7cWWq1WDBw4UGRkZFits66+WV5+QAghCgoKxOLFi0VwcLBwd3cX4eHh4q233jK7tIMQlZcfWLBggVWfarsMi6WcnBwxe/Zs0aJFC+Hh4SF69OhR4yUS7L3cia19Onr0qBgzZozQ6XTC29tbDBs2TBw8eNDquUeOHBH33nuv8PDwEHfffbd4++23rS53cvToUREdHS3uvvtuodVqRcuWLcXEiRNFRkaG1fr+/ve/i4iICOHl5SV8fX1Fjx49xNKlS8Xly5ftXldNr3PChAni66+/Fj179hRarVZ07txZpKam1vqcbt26CbVaLS5evFjv+oUQZu8ny9vevXuldrZs39ouR1T1Pqi+vtreK5av7ezZszVebmPt2rUiNDRUaLVa0a9fP3HgwAEREREhxo4da9PrTkxMFH369BFarVY0a9ZMREZGivT09Fr7ZzKZxKuvvipl9unTR+zcudPqPbdt2zYxevRo0bJlS2kfmz9/vsjOzpbavPLKK6Jfv37C399feHl5ic6dO4tVq1aJ0tJSqc2dXO5ECCHOnz8vYmJihF6vF1qtVrRv314sWLBAumRLSUmJWLJkiWjVqpXw8vISAwcOFIcOHWoynzekTCohOMOSiKi6Pn36oHnz5vjPf/7j7K7IymQyQa/X44EHHsCGDRuc3R0iug2cY0dEVE1GRgYyMzMRExPj7K44VElJidX8sM2bNyMvL8/mnxQjosaHR+yIiAD8+uuvOHLkCP72t7/h999/x5kzZ5z2w/By2LdvHxYvXoxp06YhICAAR48excaNG9GlSxccOXLErmtMElHjwS9PEBGh8lvW8fHx6NSpEz755BNFF3VA5WVe2rRpg7Vr1yIvLw/NmzdHTEwMXn/9dRZ1RE0Yj9gRERERKQTn2BEREREpBAs7IiIiIoVgYUdERESkEDZ/eWLllu9QbnL8dDyNWoVFUX3hr6ucuGwoLEFCWobDsy1znZktV66rZnOsXSebY+062Y1prHNzirAs9kuUlZnqeeadc3dX443kSQgI9HGZbMtcAMi+eAWT+09DqbG0jmfeOQ+tB3Z8n4pWIZU/RWjMz8OxDS9DVJTX88w7d9/Sd2xqZ/MROzk+EKpyio23NlCxsVyWbMtcZ2bLleuq2Rxr18nmWLtOdmMa64J8oyyFFQCUlZlQkH/r93FdIdsyFwAMuQaHF3UAUGoshSHXcKsvxUWyFHX24KlYIiIiIoVgYUdERESkECzsiIiIiBSChR0RERGRQrCwIyIiIlIIFnZERERECsHCjoiIiEghWNgRERERKQQLOyIiIiKFYGFHREREpBAs7IiIiIgUgoUdERERkUKwsCMiIiJSCBZ2RERERArBwo6IiIhIIVjYERERESkECzsiIiIihWBhR0RERKQQLOyIiIiIFIKFHREREZFCsLAjIiIiUggWdkREREQKwcKOiIiISCFY2BEREREphM2FnUatcmQ/zHK8tRrpvrdWI0u2Za4zs+XKddVsjrXrZHOsXSe7MY21r58W7u7yHDdxd1fD10/rUtmWuQDgH+APD62Hw7M9tB7wD/C/1RdvH6jcNLU/wQlUQghhS0NDYQmKjeWO7g+8tRr46zxlz64p15nZSt/ezszmWLtONsfadbIb21jn5hShIN/o0FygspgKCPRxqeyacgEg++IVGHINDs32D/BHq5Ags2XG/DyUFRc5NBcAdEFtbGpnc2FHRERERI0b59gRERERKYTNJ4Z5GF/ebKVvb2dmc6xdJ5tj7TrZHOtbXPVUrLOy87Ov4eb1fIfmAkBg1zCb2tlc2CWkZaDc5Pizthq1Coui+ko7qqGwRJZsy1xnZsuV66rZHGvXyeZYu042x7oyOzenCMtiv0RZmcnh2e7uaryRPEkqdOTKtsx1ZnZ+9jUkT1yAitIyh+YCwOJfttvUzuZTsXLsoFU51f/KKTaWy5JtmevMbLlyXTWbY+062Rxr18nmWFcqyDfKUtQBQFmZyewImVzZlrnOzL55PV+Wos4enGNHREREpBAs7IiIiIgUgoUdERERkUKwsCMiIiJSCBZ2RERERArBwo6IiIhIIVjYERERESkECzsiIiIihWBhR0RERKQQLOyIiIiIFIKFHREREZFCsLAjIiIiUggWdkREREQKwcKOiIiISCFY2BEREREpBAs7IiIiIoVgYUdERESkECzsiIiIiBSChR0RERGRQrCwIyIiIlIIFnZERERECsHCjoiIiEghWNgRERERKQQLOyIiIiKFsLmw06hVjuyHWY63ViPd99ZqZMm2zHVmtly5rprNsXadbI6162RzrCv5+mnh7i7PMRt3dzV8/bSyZ1vmOjPbq5kf3DzcHZ5rD5UQQtjS0FBYgmJjuaP7A2+tBv46T9mza8p1ZrbSt7czsznWrpPNsXadbI71Lbk5RSjINzo829dPi4BAH9mza8p1ZnZ+9jXcvJ7v0FwACOwaZlM7mws7IiIiImrcOMeOiIiISCE09TepxMP48mYrfXs7M5tj7TrZHGvXyeZY38JTsfJmZ1+8AkOuwaG5ANClV2eb2tlc2CWkZaDc5Pizthq1Coui+ko7qqGwRJZsy1xnZsuV66rZHGvXyeZYu042x7oyOzenCMtiv0RZmcnh2e7uaryRPEkqdOTKtsx1Znb2xSuY3H8aSo2lDs0FgMxrh21qZ/OpWDl20Kqc6n/lFBvLZcm2zHVmtly5rprNsXadbI6162RzrCsV5BtlKeoAoKzMZHaETK5sy1xnZhtyDbIUdfbgHDsiIiIihWBhR0RERKQQLOyIiIiIFIKFHREREZFCsLAjIiIiUggWdkREREQKwcKOiIiISCFY2BEREREpBAs7IiIiIoVgYUdERESkECzsiIiIiBSChR0RERGRQrCwIyIiIlIIFnZERERECsHCjoiIiEghWNgRERERKQQLOyIiIiKFYGFHREREpBAs7IiIiIgUgoUdERERkUKwsCMiIiJSCBZ2RERERArBwo6IiIhIIWwu7DRqlSP7YZbjrdVI9721GlmyLXOdmS1Xrqtmc6xdJ5tj7TrZHOtKvn5auLvLc8zG3V0NXz+t7NmWuc7M9g/wh4fWw+G59lAJIYQtDQ2FJSg2lju6P/DWauCv85Q9u6ZcZ2YrfXs7M5tj7TrZHGvXyeZY35KbU4SCfKPDs339tAgI9JE9u6ZcZ2ZnX7wCQ67BobkA0KVXZ5va2VzYEREREVHjxjl2RERERArBwo6IiIhIITT1N6nE+RnyZit9ezszm2PtOtkca9fJ5ljfwjl28mY3tjl2Nhd2CWkZKDc5fjqeRq3Coqi+0o5qKCyRJdsy15nZcuW6ajbH2nWyOdauk82xrszOzSnCstgvUVZmcni2u7sabyRPkgodubItc52ZnX3xCib3n4ZSY6lDcwEg89phm9rZfCpWjh20Kqf6XznFxnJZsi1znZktV66rZnOsXSebY+062RzrSgX5RlmKOgAoKzOZHSGTK9sy15nZhlyDLEWdPTjHjoiIiEghWNgRERERKQQLOyIiIiKFYGFHREREpBAs7IiIiIgUgoUdERERkUKwsCMiIiJSCBZ2RERERArBwo6IiIhIIVjYERERESkECzsiIiIihWBhR0RERKQQLOyIiIiIFIKFHREREZFCsLAjIiIiUggWdkREREQKwcKOiIiISCFY2BEREREpBAs7IiIiIoVgYUdERESkECzsiIiIiBSChR0RERGRQrCwIyIiIlIImws7jVrlyH6Y5XhrNdJ9b61GlmzLXGdmy5Xrqtkca9fJ5li7TjbHupKvnxbu7vIcs3F3V8PXTyt7tmWuM7P9A/zhofVweK49VEIIYUtDQ2EJio3lju4PvLUa+Os8Zc+uKdeZ2Urf3s7M5li7TjbH2nWyOda35OYUoSDf6PBsXz8tAgJ9ZM+uKdeZ2dkXr8CQa3BoLgB06dXZpnY2F3ZERERE1Lhxjh0RERGRQmjqb1KJh/HlzVb69nZmNsfadbI51q6TzbG+hadi5c1ubKdibS7sEtIyUG5y/FlbjVqFRVF9pR3VUFgiS7ZlrjOz5cp11WyOtetkc6xdJ5tjXZmdm1OEZbFfoqzM5PBsd3c13kieJBU6cmVb5jozO/viFUzuPw2lxlKH5gJA5rXDNrWz+VSsHDtoVU71v3KKjeWyZFvmOjNbrlxXzeZYu042x9p1sjnWlQryjbIUdQBQVmYyO0ImV7ZlrjOzDbkGWYo6e3COHREREZFCsLAjIiIiUggWdkREREQKwcKOiIiISCFY2BEREREpBAs7IiIiIoVgYUdERESkECzsiIiIiBSChR0RERGRQrCwIyIiIlIIFnZERERECsHCjoiIiEghWNgRERERKQQLOyIiIiKFYGFHREREpBAs7IiIiIgUgoUdERERkUKwsCMiIiJSCBZ2RERERArBwo6IiIhIIVjYERERESkECzsiIiIihWBhR0RERKQQLOyIiIiIFEIlhBDO7gQRERER3TkesSMiIiJSCBZ2RERERArBwo6IiIhIIVjYERERESkECzsiIiIihWBhR0RERKQQLOyIiIiIFIKFHREREZFCsLAjIiIiUggWdkREREQKwcKOiIiISCFY2BEREREphMaRKzcUlqDYWO7ICIm3VgN/naddz4mNjcWmTZsAABqNBiEhIZg2bRri4+Ph6Vm5LpVKhe3btyMqKqqhu2y33JwiFOQbZcny9dMiINDHrufYuj0B4NChQ+jfv7/0XKPRiODgYOTl5WHv3r0YOnRow7wQO2RfvAJDrkG2PP8Af7QKCbK5ffXtW93YsWMhhMCuXbusHtu/fz+GDBmCn376CT179ryj/torP/sabl7Ply3Pq5kf/FrpbW5/J+//2NhYGAwGpKWlNVT37WLMz0NZcZEsWe7ePtD6NZclCwBKS0vRtWtXbN68GQMGDLDpOStXrkRaWhoyMzMBWI/PQw89hHvuuQdLlixxUK+JGg+HFXaGwhIkpGWg3CQcFWFGo1ZhUVRfu4u7sWPHIikpCWVlZThy5AhmzZoFlUqFN954w0E9vT25OUVYFvslyspMsuS5u6vxRvIku4s7W7ZnmzZtkJSUZFbYbd++HTqdDnl5eQ32GuyRffEKJvefhlJjqWyZHloP7Pg+1a7irmr7VnfgwAFMnz4dFy9eREhIiNljSUlJ6Nu3r1OKuuSJC1BRWiZbppuHO2J3rrOruGsq7//qjPl5OLbhZYgKef5oVrlp0OfR5+0u7q5cuYJVq1bhq6++wqVLl9CyZUv07t0bixYtwogRI2p93gcffIB27drZXNTZYsWKFRgyZAjmzp2Lu+66q8HWS9QYOexUbLGxXLaiDgDKTeK2jg5qtVoEBQWhTZs2iIqKwsiRI5Genu6AHt6ZgnyjbEUdAJSVmW7r6KAt23PWrFnYunUrbt68KS1LTEzErFmz7rjft8uQa5C1qAOAUmOp3UcIq7Zv9dvkyZOh1+uRnJxs1rawsBCpqamIi4truE7b6Ob1fFmLOgCoKC2z+whhU3n/V1dWXCRbUQcAoqLc7qOD586dQ0REBPbs2YO33noLv/zyC3bt2oVhw4ZhwYIFtWcJgXfffbfB99nu3bsjLCwMW7ZsadD1EjVGnGNXza+//oqDBw/Cw8PD2V1RhNq2Z0REBNq2bYvPPvsMAHDhwgV8++23mDlzpjO62eRpNBrExMQgOTkZQtz6Yyo1NRUVFRWIjo52Yu+aDr7/G85jjz0GlUqFH374AVOnTkXHjh3RrVs3PPnkk/j+++9rfd6RI0eQlZWFCRMmmC1ftmwZOnbsCG9vb7Rv3x7PP/88ysrs+8Nh0qRJ2Lp16229HqKmxOULu507d0Kn08HT0xM9evTA1atX8fTTTzu7W02Wrdtzzpw5SExMBAAkJydj/Pjx0OttP4Xmqqq2b9Vt2rRpACq3Z1ZWFr755hupbVJSEqZOncpTT3WwZX+Njo422+Y6nQ4pKSlO6nHjl5eXh127dmHBggXw8bGeyuHv71/rc/fv34+OHTvC19fXbLmvry+Sk5Nx4sQJrFmzBhs2bMDq1avt6le/fv3www8/wGiUZ54ykbM49MsTTcGwYcPw/vvvo6ioCKtXr4ZGo8HUqVOd3a0my9bt+cgjj+CZZ57BmTNnkJycjLVr1zqht01P1fatUvUfZ+fOnTFgwAAkJiZi6NChOH36NPbv34/4+HhndbVJsGV/Xb16NUaOHGm2bNmyZaioqJCzq03G6dOnIYRA586d7X7u+fPnERwcbLV8xYoV0r/btm2Lp556Clu3bsXSpUttXndwcDBKS0tx5coVhIaG2t03oqbC5Y/Y+fj4oEOHDujVqxcSExNx+PBhbNy40dndarJs3Z4BAQGYOHEi4uLiUFJSgnHjxjmht01P1faturVq1Up6LC4uDp999hkKCgqQlJSEsLAwREZGOrG3jZ8t+2tQUJDZNu/QoYPVESW6pfp0AHvdvHlT+kZydf/4xz8wcOBABAUFQafTYcWKFbhw4YJd6/by8gIAFBcX33b/iJoCly/sqlOr1XjuueewYsUKs4n9dHvq255z5szBvn37EBMTAzc3Nyf0UFmmT58OtVqNjz/+GJs3b8acOXOky8tQ/fj+bxjh4eFQqVQ4efKk3c9t0aIFrl+/brbs0KFDePjhhzF+/Hjs3LkTx44dw/Lly1Faat+Xnaq+cc8pH6R0LOwsTJs2DW5ubli3bp207OzZs8jMzDS7FRXJcw2ppq6m7Vll7NixuHbtGk8XNhCdTocZM2bg2WefRXZ2NmJjY53dpSanrv2VbNO8eXOMGTMG69atq/Fz0mAw1PrcPn364OTJk2ZH/Q4ePIjQ0FAsX74cffv2RXh4OM6fP293v3799VeEhISgRYsWdj+XqClhYWdBo9Fg4cKFePPNN6UPpSeffBJ9+vQxux07dszJPW0aatqeVVQqFVq0aMFvITaguLg4XL9+HWPGjKlxrhLVra79lWy3bt06VFRUoF+/fvjss89w6tQp/Pbbb1i7di3uu+++Wp83bNgwFBYW4vjx49Ky8PBwXLhwAVu3bkVWVhbWrl2L7du3292n/fv3Y/To0bf1eoiaEpW4kwkRdWgqFyhuKprKBYqbqqZygeKmoqlcoLgpaioXKM7OzsaqVauwc+dOZGdnQ6/XIyIiAosXL67zl2VmzJiB9u3b47XXXpOWLV26FImJiTAajZgwYQL69++PlStXSkf/6vvliZKSEgQFBWHXrl1mF0YnUiKHFXZA4/9Jsaamsf+kWFPX2H9SrKlp7D8p1pQp+SfFfv75Z4waNQpZWVnQ6XQNss73338f27dvx+7duxtkfUSNmUMLOyIiInslJycjIiICPXr0aJD1ffjhhxg8eDA6derUIOsjasxY2BEREREpBL88QURERKQQLOyIiIiIFIKFHREREZFCsLAjIiIiUggWdkREREQKwcKOiIiISCFY2BEREREpBAs7IiIiIoVgYUdERESkECzsiIiIiBSChR0RERGRQrCwIyIiIlIIFnZERERECsHCjoiIiEghWNgRERERKcT/A3166JEx8D8iAAAAAElFTkSuQmCC", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(\n", " FigureClass=Waffle,\n", " rows=5,\n", " columns=20,\n", " values=data,\n", " colors=colors,\n", " legend={'loc': 'upper left', 'ncol': len(data), 'bbox_to_anchor': (0, 0), 'framealpha': 0}\n", ")\n", "\n", "plt.title('Distribution of houses by zoning classification')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "27d92e52", "metadata": {}, "source": [ "### 5.5. Matplotlib/squarify treemap" ] }, { "cell_type": "code", "execution_count": 35, "id": "42c079fb", "metadata": {}, "outputs": [], "source": [ "import squarify" ] }, { "cell_type": "code", "execution_count": 36, "id": "397aa090", "metadata": {}, "outputs": [], "source": [ "# Generate color palette\n", "colors = sns.color_palette(palette='tab10', n_colors=len(zoning_counts))" ] }, { "cell_type": "code", "execution_count": 37, "id": "975156a8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,4))\n", "plt.title('Distribution of houses by zoning classification')\n", "squarify.plot(sizes=zoning_counts.values, label=zoning_counts.index, color=colors, alpha=0.5)\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8707a87a", "metadata": {}, "source": [ "## 6. 3D scatter plot: LotArea, OverallQual, and SalePrice\n", "\n", "### 6.1. Matplotlib" ] }, { "cell_type": "code", "execution_count": 38, "id": "0aed5d62", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create 3D scatter plot\n", "ax = plt.axes(projection='3d')\n", "\n", "ax.set_title('LotArea, OverallQual, and SalePrice')\n", "\n", "# Create scatter plot with color based on SalePrice\n", "scatter = ax.scatter(\n", " df['LotArea'],\n", " df['OverallQual'],\n", " df['SalePrice'],\n", " c=df['SalePrice'],\n", " cmap='viridis'\n", ")\n", "\n", "# Add labels and title\n", "ax.set_xlabel('Lot Area (1000 sq ft)', fontsize=11, labelpad=10)\n", "ax.set_ylabel('Overall Quality', fontsize=11, labelpad=10)\n", "ax.set_zlabel('Sale Price ($1000s)', fontsize=11, labelpad=10)\n", "\n", "# Format x-axis and z-axis to show values in 1000s\n", "ax.xaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "ax.zaxis.set_major_formatter(FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "\n", "# Add color bar with custom formatting\n", "cbar = plt.colorbar(scatter, ax=ax, shrink=0.5, aspect=5, format=FuncFormatter(lambda x, p: f'{x/1000:.0f}'))\n", "cbar.set_label('Sale Price ($1000s)', rotation=270, labelpad=20, fontsize=10)\n", "\n", "# Adjust viewing angle\n", "ax.view_init(elev=20, azim=45)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a5323145", "metadata": {}, "source": [ "### 6.2. Plotly" ] }, { "cell_type": "code", "execution_count": 39, "id": "1f1222e2", "metadata": {}, "outputs": [], "source": [ "import plotly.express as px" ] }, { "cell_type": "code", "execution_count": 40, "id": "ae15861c", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Lot Area: %{x:.1f}k sq ft
Overall Quality: %{y}
Sale Price: $%{z:.0f}k
", "legendgroup": "", "marker": { "color": { "bdata": 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"" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "LotArea, OverallQual, and SalePrice" } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a copy of the dataframe with scaled values for plotting\n", "df_plot = df.copy()\n", "df_plot['LotArea_k'] = df_plot['LotArea'] / 1000\n", "df_plot['SalePrice_k'] = df_plot['SalePrice'] / 1000\n", "\n", "# Create 3D scatter plot with Plotly\n", "fig = px.scatter_3d(\n", " df_plot,\n", " x='LotArea_k',\n", " y='OverallQual',\n", " z='SalePrice_k',\n", " color='SalePrice_k',\n", " color_continuous_scale='viridis',\n", " labels={\n", " 'LotArea_k': 'Lot Area (1000 sq ft)',\n", " 'OverallQual': 'Overall Quality',\n", " 'SalePrice_k': 'Sale Price ($1000s)'\n", " },\n", " title='LotArea, OverallQual, and SalePrice'\n", ")\n", "\n", "# Update layout for better viewing angle and colorbar\n", "fig.update_layout(\n", " scene=dict(\n", " camera=dict(\n", " eye=dict(x=1.5, y=1.5, z=1.3)\n", " )\n", " ),\n", " coloraxis_colorbar=dict(\n", " title='Sale Price
($1000s)'\n", " )\n", ")\n", "\n", "# Update hover template to show formatted values\n", "fig.update_traces(\n", " hovertemplate='Lot Area: %{x:.1f}k sq ft
' +\n", " 'Overall Quality: %{y}
' +\n", " 'Sale Price: $%{z:.0f}k
' +\n", " ''\n", ")\n", "\n", "fig.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }