{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Import necessary dependencies" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "import numpy as np\n", "import seaborn as sns\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load and merge datasets" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "white_wine = pd.read_csv('winequality-white.csv', sep=';')\n", "red_wine = pd.read_csv('winequality-red.csv', sep=';')\n", "\n", "# store wine type as an attribute\n", "red_wine['wine_type'] = 'red' \n", "white_wine['wine_type'] = 'white'\n", "# bucket wine quality scores into qualitative quality labels\n", "red_wine['quality_label'] = red_wine['quality'].apply(lambda value: 'low' \n", " if value <= 5 else 'medium' \n", " if value <= 7 else 'high')\n", "red_wine['quality_label'] = pd.Categorical(red_wine['quality_label'], \n", " categories=['low', 'medium', 'high'])\n", "white_wine['quality_label'] = white_wine['quality'].apply(lambda value: 'low' \n", " if value <= 5 else 'medium' \n", " if value <= 7 else 'high')\n", "white_wine['quality_label'] = pd.Categorical(white_wine['quality_label'], \n", " categories=['low', 'medium', 'high'])\n", "\n", "# merge red and white wine datasets\n", "wines = pd.concat([red_wine, white_wine])\n", "# re-shuffle records just to randomize data points\n", "wines = wines.sample(frac=1, random_state=42).reset_index(drop=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Understand dataset features and values" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(4898, 14) (1599, 14)\n", "\n", "RangeIndex: 6497 entries, 0 to 6496\n", "Data columns (total 14 columns):\n", "fixed acidity 6497 non-null float64\n", "volatile acidity 6497 non-null float64\n", "citric acid 6497 non-null float64\n", "residual sugar 6497 non-null float64\n", "chlorides 6497 non-null float64\n", "free sulfur dioxide 6497 non-null float64\n", "total sulfur dioxide 6497 non-null float64\n", "density 6497 non-null float64\n", "pH 6497 non-null float64\n", "sulphates 6497 non-null float64\n", "alcohol 6497 non-null float64\n", "quality 6497 non-null int64\n", "wine_type 6497 non-null object\n", "quality_label 6497 non-null category\n", "dtypes: category(1), float64(11), int64(1), object(1)\n", "memory usage: 666.4+ KB\n", "None\n" ] } ], "source": [ "print(white_wine.shape, red_wine.shape)\n", "print(wines.info())" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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fixed acidityvolatile aciditycitric acidresidual sugarchloridesfree sulfur dioxidetotal sulfur dioxidedensitypHsulphatesalcoholqualitywine_typequality_label
07.00.170.7412.80.04524.0126.00.994203.260.3812.28whitehigh
17.70.640.212.20.07732.0133.00.995603.270.459.95redlow
26.80.390.347.40.02038.0133.00.992123.180.4412.07whitemedium
36.30.280.4711.20.04061.0183.00.995923.120.519.56whitemedium
47.40.350.2013.90.05463.0229.00.998883.110.508.96whitemedium
\n", "
" ], "text/plain": [ " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", "0 7.0 0.17 0.74 12.8 0.045 \n", "1 7.7 0.64 0.21 2.2 0.077 \n", "2 6.8 0.39 0.34 7.4 0.020 \n", "3 6.3 0.28 0.47 11.2 0.040 \n", "4 7.4 0.35 0.20 13.9 0.054 \n", "\n", " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", "0 24.0 126.0 0.99420 3.26 0.38 \n", "1 32.0 133.0 0.99560 3.27 0.45 \n", "2 38.0 133.0 0.99212 3.18 0.44 \n", "3 61.0 183.0 0.99592 3.12 0.51 \n", "4 63.0 229.0 0.99888 3.11 0.50 \n", "\n", " alcohol quality wine_type quality_label \n", "0 12.2 8 white high \n", "1 9.9 5 red low \n", "2 12.0 7 white medium \n", "3 9.5 6 white medium \n", "4 8.9 6 white medium " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wines.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Understanding Wine and Types\n", "\n", "Wine is an alcoholic beverage made from grapes which is fermented without the addition of sugars, acids, enzymes, water, or other nutrients\n", "\n", "Red wine is made from dark red and black grapes. The color usually ranges from various shades of red, brown and violet. This is produced with whole grapes including the skin which adds to the color and flavor of red wines, giving it a rich flavor.\n", "\n", "White wine is made from white grapes with no skins or seeds. The color is usually straw-yellow, yellow-green, or yellow-gold. Most white wines have a light and fruity flavor as compared to richer red wines.\n", "\n", "### Understanding Wine Attributes and Properties \n", "\n", "\n", "- **fixed acidity:** Acids are one of the fundamental properties of wine and contribute greatly to the taste of the wine. Reducing acids significantly might lead to wines tasting flat. Fixed acids include tartaric, malic, citric, and succinic acids which are found in grapes (except succinic). This variable is usually expressed in $\\frac{g(tartaricacid)}{dm^3}$ in the dataset.\n", "\n", "\n", "- **volatile acidity:** These acids are to be distilled out from the wine before completing the production process. It is primarily constituted of acetic acid though other acids like lactic, formic and butyric acids might also be present. Excess of volatile acids are undesirable and lead to unpleasant flavor. In the US, the legal limits of volatile acidity are 1.2 g/L for red table wine and 1.1 g/L for white table wine. The volatile acidity is expressed in $\\frac{g(aceticacid)}{dm^3}$ in the dataset.\n", "\n", "\n", "- **citric acid:** This is one of the fixed acids which gives a wine its freshness. Usually most of it is consumed during the fermentation process and sometimes it is added separately to give the wine more freshness. It's usually expressed in $\\frac{g}{dm^3}$ in the dataset.\n", "\n", "\n", "- **residual sugar:** This typically refers to the natural sugar from grapes which remains after the fermentation process stops, or is stopped. It's usually expressed in $\\frac{g}{dm^3}$ in the dataset.\n", "\n", "\n", "- **chlorides:** This is usually a major contributor to saltiness in wine. It's usually expressed in $\\frac{g(sodiumchloride)}{dm^3}$ in the dataset.\n", "\n", "\n", "- **free sulfur dioxide:** This is the part of the sulphur dioxide that when added to a wine is said to be free after the remaining part binds. Winemakers will always try to get the highest proportion of free sulphur to bind. They are also known as sulfites and too much of it is undesirable and gives a pungent odour. This variable is expressed in $\\frac{mg}{dm^3}$ in the dataset.\n", "\n", "\n", "- **total sulfur dioxide:** This is the sum total of the bound and the free sulfur dioxide ($SO_2$). Here, it's expressed in $\\frac{mg}{dm^3}$. This is mainly added to kill harmful bacteria and preserve quality and freshness. There are usually legal limits for sulfur levels in wines and excess of it can even kill good yeast and give out undesirable odour.\n", "\n", "\n", "- **density:** This can be represented as a comparison of the weight of a specific volume of wine to an equivalent volume of water. It is generally used as a measure of the conversion of sugar to alcohol. Here, it's expressed in $\\frac{g}{cm^3}$.\n", "\n", "\n", "- **pH:** Also known as the potential of hydrogen, this is a numeric scale to specify the acidity or basicity the wine. Fixed acidity contributes the most towards the pH of wines. You might know, solutions with a pH less than 7 are acidic, while solutions with a pH greater than 7 are basic. With a pH of 7, pure water is neutral. Most wines have a pH between 2.9 and 3.9 and are therefore acidic.\n", "\n", "\n", "- **sulphates:** These are mineral salts containing sulfur. Sulphates are to wine as gluten is to food. They are a regular part of the winemaking around the world and are considered essential. They are connected to the fermentation process and affects the wine aroma and flavor. Here, it's expressed in $\\frac{g(potassiumsulphate)}{dm^3}$ in the dataset.\n", "\n", "\n", "- **alcohol:** Wine is an alcoholic beverage. Alcohol is formed as a result of yeast converting sugar during the fermentation process. The percentage of alcohol can vary from wine to wine. Hence it is not a surprise for this attribute to be a part of this dataset. It's usually measured in % vol or alcohol by volume (ABV).\n", "\n", "\n", "- **quality:** Wine experts graded the wine quality between 0 (very bad) and 10 (very excellent). The eventual quality score is the median of at least three evaluations made by the same wine experts.\n", "\n", "\n", "- **wine_type:** Since we originally had two datasets for red and white wine, we introduced this attribute in the final merged dataset which indicates the type of wine for each data point. A wine can either be a 'red' or a 'white' wine. One of the predictive models we will build in this chapter would be such that we can predict the type of wine by looking at other wine attributes.\n", "\n", "\n", "- **quality_label:** This is a derived attribute from the `quality` attribute. We bucket or group wine quality scores into three qualitative buckets namely low, medium and high. Wines with a quality score of 3, 4 & 5 are low quality, scores of 6 & 7 are medium quality and scores of 8 & 9 are high quality wines. We will also build another model in this chapter to predict this wine quality label based on other wine attributes. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exploratory Data Analysis and Visualizations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Descriptive Statistics" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Red Wine StatisticsWhite Wine Statistics
residual sugartotal sulfur dioxidesulphatesalcoholvolatile acidityqualityresidual sugartotal sulfur dioxidesulphatesalcoholvolatile acidityquality
count1599.001599.001599.001599.001599.001599.004898.004898.004898.004898.004898.004898.00
mean2.5446.470.6610.420.535.646.39138.360.4910.510.285.88
std1.4132.900.171.070.180.815.0742.500.111.230.100.89
min0.906.000.338.400.123.000.609.000.228.000.083.00
25%1.9022.000.559.500.395.001.70108.000.419.500.215.00
50%2.2038.000.6210.200.526.005.20134.000.4710.400.266.00
75%2.6062.000.7311.100.646.009.90167.000.5511.400.326.00
max15.50289.002.0014.901.588.0065.80440.001.0814.201.109.00
\n", "
" ], "text/plain": [ " Red Wine Statistics \\\n", " residual sugar total sulfur dioxide sulphates alcohol \n", "count 1599.00 1599.00 1599.00 1599.00 \n", "mean 2.54 46.47 0.66 10.42 \n", "std 1.41 32.90 0.17 1.07 \n", "min 0.90 6.00 0.33 8.40 \n", "25% 1.90 22.00 0.55 9.50 \n", "50% 2.20 38.00 0.62 10.20 \n", "75% 2.60 62.00 0.73 11.10 \n", "max 15.50 289.00 2.00 14.90 \n", "\n", " White Wine Statistics \\\n", " volatile acidity quality residual sugar total sulfur dioxide \n", "count 1599.00 1599.00 4898.00 4898.00 \n", "mean 0.53 5.64 6.39 138.36 \n", "std 0.18 0.81 5.07 42.50 \n", "min 0.12 3.00 0.60 9.00 \n", "25% 0.39 5.00 1.70 108.00 \n", "50% 0.52 6.00 5.20 134.00 \n", "75% 0.64 6.00 9.90 167.00 \n", "max 1.58 8.00 65.80 440.00 \n", "\n", " \n", " sulphates alcohol volatile acidity quality \n", "count 4898.00 4898.00 4898.00 4898.00 \n", "mean 0.49 10.51 0.28 5.88 \n", "std 0.11 1.23 0.10 0.89 \n", "min 0.22 8.00 0.08 3.00 \n", "25% 0.41 9.50 0.21 5.00 \n", "50% 0.47 10.40 0.26 6.00 \n", "75% 0.55 11.40 0.32 6.00 \n", "max 1.08 14.20 1.10 9.00 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subset_attributes = ['residual sugar', 'total sulfur dioxide', 'sulphates', 'alcohol', 'volatile acidity', 'quality']\n", "rs = round(red_wine[subset_attributes].describe(),2)\n", "ws = round(white_wine[subset_attributes].describe(),2)\n", "pd.concat([rs, ws], axis=1, keys=['Red Wine Statistics', 'White Wine Statistics'])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Low Quality WineMedium Quality WineHigh Quality Wine
alcoholvolatile aciditypHqualityalcoholvolatile aciditypHqualityalcoholvolatile aciditypHquality
count2384.002384.002384.002384.003915.003915.003915.003915.00198.00198.00198.00198.00
mean9.870.403.214.8810.810.313.226.2811.690.293.238.03
std0.840.190.160.361.200.140.160.451.270.120.160.16
min8.000.102.743.008.400.082.726.008.500.122.888.00
25%9.300.263.115.009.800.213.116.0011.000.213.138.00
50%9.600.343.205.0010.800.273.216.0012.000.283.238.00
75%10.400.503.315.0011.700.363.337.0012.600.353.338.00
max14.901.583.905.0014.201.044.017.0014.000.853.729.00
\n", "
" ], "text/plain": [ " Low Quality Wine Medium Quality Wine \\\n", " alcohol volatile acidity pH quality alcohol \n", "count 2384.00 2384.00 2384.00 2384.00 3915.00 \n", "mean 9.87 0.40 3.21 4.88 10.81 \n", "std 0.84 0.19 0.16 0.36 1.20 \n", "min 8.00 0.10 2.74 3.00 8.40 \n", "25% 9.30 0.26 3.11 5.00 9.80 \n", "50% 9.60 0.34 3.20 5.00 10.80 \n", "75% 10.40 0.50 3.31 5.00 11.70 \n", "max 14.90 1.58 3.90 5.00 14.20 \n", "\n", " High Quality Wine \\\n", " volatile acidity pH quality alcohol volatile acidity \n", "count 3915.00 3915.00 3915.00 198.00 198.00 \n", "mean 0.31 3.22 6.28 11.69 0.29 \n", "std 0.14 0.16 0.45 1.27 0.12 \n", "min 0.08 2.72 6.00 8.50 0.12 \n", "25% 0.21 3.11 6.00 11.00 0.21 \n", "50% 0.27 3.21 6.00 12.00 0.28 \n", "75% 0.36 3.33 7.00 12.60 0.35 \n", "max 1.04 4.01 7.00 14.00 0.85 \n", "\n", " \n", " pH quality \n", "count 198.00 198.00 \n", "mean 3.23 8.03 \n", "std 0.16 0.16 \n", "min 2.88 8.00 \n", "25% 3.13 8.00 \n", "50% 3.23 8.00 \n", "75% 3.33 8.00 \n", "max 3.72 9.00 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subset_attributes = ['alcohol', 'volatile acidity', 'pH', 'quality']\n", "ls = round(wines[wines['quality_label'] == 'low'][subset_attributes].describe(),2)\n", "ms = round(wines[wines['quality_label'] == 'medium'][subset_attributes].describe(),2)\n", "hs = round(wines[wines['quality_label'] == 'high'][subset_attributes].describe(),2)\n", "pd.concat([ls, ms, hs], axis=1, keys=['Low Quality Wine', 'Medium Quality Wine', 'High Quality Wine'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inferential Statistics" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ANOVA test for mean alcohol levels across wine samples with different quality ratings\n", "F Statistic: 673.074534723 \tp-value: 2.27153374506e-266\n", "\n", "ANOVA test for mean pH levels across wine samples with different quality ratings\n", "F Statistic: 1.23638608035 \tp-value: 0.290500277977\n" ] } ], "source": [ "from scipy import stats\n", " \n", "F, p = stats.f_oneway(wines[wines['quality_label'] == 'low']['alcohol'], \n", " wines[wines['quality_label'] == 'medium']['alcohol'], \n", " wines[wines['quality_label'] == 'high']['alcohol'])\n", "print('ANOVA test for mean alcohol levels across wine samples with different quality ratings')\n", "print('F Statistic:', F, '\\tp-value:', p)\n", "\n", "F, p = stats.f_oneway(wines[wines['quality_label'] == 'low']['pH'], \n", " wines[wines['quality_label'] == 'medium']['pH'], \n", " wines[wines['quality_label'] == 'high']['pH'])\n", "print('\\nANOVA test for mean pH levels across wine samples with different quality ratings')\n", "print('F Statistic:', F, '\\tp-value:', p)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xCUlNEXH1CMZnZjbS9gE60789ngL2TR+Q9Kd1QmZmI6bQGrIPAZ/NvU1c0j3A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\nTnq7dXq+7wIXAFuQdFa9/Q0n6tuvSTq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n", "f.suptitle('Wine Quality - Alcohol Content/pH', fontsize=14)\n", "f.subplots_adjust(top=0.85, wspace=0.3)\n", "\n", "sns.boxplot(x=\"quality_label\", y=\"alcohol\",\n", " data=wines, ax=ax1)\n", "ax1.set_xlabel(\"Wine Quality Class\",size = 12,alpha=0.8)\n", "ax1.set_ylabel(\"Wine Alcohol %\",size = 12,alpha=0.8)\n", "\n", "sns.boxplot(x=\"quality_label\", y=\"pH\", data=wines, ax=ax2)\n", "ax2.set_xlabel(\"Wine Quality Class\",size = 12,alpha=0.8)\n", "ax2.set_ylabel(\"Wine pH\",size = 12,alpha=0.8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Univariate Analysis" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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geWH+J4AvRcQjef6pwPtLrRTN4IK+tjHAo2WF8Kz8fxzwudyk87Skp4HN8zol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\n38COvsnTlszMrHyd3VOL3Zbz/z71rn7DDN37tCU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yiLielA97SufpiPhdRDwbEYuBk4GdACRtALyPdOE6P+fb6ypsptoxU4s/AK+X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\n4+jYQt/MzKzTdGz1vpmZWadxoW9mZtY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "red_wine.hist(bins=15, color='red', edgecolor='black', linewidth=1.0,\n", " xlabelsize=8, ylabelsize=8, grid=False) \n", "plt.tight_layout(rect=(0, 0, 1.2, 1.2)) \n", "rt = plt.suptitle('Red Wine Univariate Plots', x=0.65, y=1.25, fontsize=14) \n", "\n", "white_wine.hist(bins=15, color='white', edgecolor='black', linewidth=1.0,\n", " xlabelsize=8, ylabelsize=8, grid=False) \n", "plt.tight_layout(rect=(0, 0, 1.2, 1.2)) \n", "wt = plt.suptitle('White Wine Univariate Plots', x=0.65, y=1.25, fontsize=14) " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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Zz5g1axZz587luOOO47Of/SwvvfQSAD/4wQ845phjGDJkSIXfqdWB853V1Nrm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\nLHCSpI/XYJtlUXaD0YOA37U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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize = (10,4))\n", "title = fig.suptitle(\"Residual Sugar Content in Wine\", fontsize=14)\n", "fig.subplots_adjust(top=0.85, wspace=0.3)\n", "\n", "ax1 = fig.add_subplot(1,2, 1)\n", "ax1.set_title(\"Red Wine\")\n", "ax1.set_xlabel(\"Residual Sugar\")\n", "ax1.set_ylabel(\"Frequency\") \n", "ax1.set_ylim([0, 2500])\n", "ax1.text(8, 1000, r'$\\mu$='+str(round(red_wine['residual sugar'].mean(),2)), \n", " fontsize=12)\n", "r_freq, r_bins, r_patches = ax1.hist(red_wine['residual sugar'], color='red', bins=15,\n", " edgecolor='black', linewidth=1)\n", "\n", "ax2 = fig.add_subplot(1,2, 2)\n", "ax2.set_title(\"White Wine\")\n", "ax2.set_xlabel(\"Residual Sugar\")\n", "ax2.set_ylabel(\"Frequency\")\n", "ax2.set_ylim([0, 2500])\n", "ax2.text(30, 1000, r'$\\mu$='+str(round(white_wine['residual sugar'].mean(),2)), \n", " fontsize=12)\n", "w_freq, w_bins, w_patches = ax2.hist(white_wine['residual sugar'], color='white', bins=15,\n", " edgecolor='black', linewidth=1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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WuEXEXcAzRW23RcTmNDoHaLtCZSpwbURsTJdVLwMmK3sG3I4RMSddKXMV2a0lzMwahvOd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\njVXofSg3xkq9ByWp8mehSzX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize = (10,4))\n", "title = fig.suptitle(\"Sulphates Content in Wine\", fontsize=14)\n", "fig.subplots_adjust(top=0.85, wspace=0.3)\n", "\n", "ax1 = fig.add_subplot(1,2, 1)\n", "ax1.set_title(\"Red Wine\")\n", "ax1.set_xlabel(\"Sulphates\")\n", "ax1.set_ylabel(\"Frequency\") \n", "ax1.set_ylim([0, 1200])\n", "ax1.text(1.2, 800, r'$\\mu$='+str(round(red_wine['sulphates'].mean(),2)), \n", " fontsize=12)\n", "r_freq, r_bins, r_patches = ax1.hist(red_wine['sulphates'], color='red', bins=15,\n", " edgecolor='black', linewidth=1)\n", "\n", "ax2 = fig.add_subplot(1,2, 2)\n", "ax2.set_title(\"White Wine\")\n", "ax2.set_xlabel(\"Sulphates\")\n", "ax2.set_ylabel(\"Frequency\")\n", "ax2.set_ylim([0, 1200])\n", "ax2.text(0.8, 800, r'$\\mu$='+str(round(white_wine['sulphates'].mean(),2)), \n", " fontsize=12)\n", "w_freq, w_bins, w_patches = ax2.hist(white_wine['sulphates'], color='white', bins=15,\n", " edgecolor='black', linewidth=1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize = (10,4))\n", "title = fig.suptitle(\"Alcohol Content in Wine\", fontsize=14)\n", "fig.subplots_adjust(top=0.85, wspace=0.3)\n", "\n", "ax1 = fig.add_subplot(1,2, 1)\n", "ax1.set_title(\"Red Wine\")\n", "ax1.set_xlabel(\"Alcohol % by Volume\")\n", "ax1.set_ylabel(\"Frequency\") \n", "ax1.set_ylim([0, 800])\n", "ax1.text(12, 600, r'$\\mu$='+str(round(red_wine['alcohol'].mean(),2)), \n", " fontsize=12)\n", "r_freq, r_bins, r_patches = ax1.hist(red_wine['alcohol'], color='red', bins=15,\n", " edgecolor='black', linewidth=1)\n", "\n", "ax2 = fig.add_subplot(1,2, 2)\n", "ax2.set_title(\"White Wine\")\n", "ax2.set_xlabel(\"Alcohol % by Volume\")\n", "ax2.set_ylabel(\"Frequency\")\n", "ax2.set_ylim([0, 800])\n", "ax2.text(12, 600, r'$\\mu$='+str(round(white_wine['alcohol'].mean(),2)), \n", " fontsize=12)\n", "w_freq, w_bins, w_patches = ax2.hist(white_wine['alcohol'], color='white', bins=15,\n", " edgecolor='black', linewidth=1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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NXKC4q6runlxJsh7NfYklqZe5QlI/84KkQZgrJA1coDgzyTuADZM8B/gK8B+j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\nCxRJdgZ2qKq9gDOB13UckjR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize = (18, 4))\n", "title = fig.suptitle(\"Wine Type - Quality\", fontsize=14)\n", "fig.subplots_adjust(top=0.85, wspace=0.3)\n", "\n", "ax1 = fig.add_subplot(1,4, 1)\n", "ax1.set_title(\"Red Wine\")\n", "ax1.set_xlabel(\"Quality\")\n", "ax1.set_ylabel(\"Frequency\") \n", "rw_q = red_wine['quality'].value_counts()\n", "rw_q = (list(rw_q.index), list(rw_q.values))\n", "ax1.set_ylim([0, 2500])\n", "ax1.tick_params(axis='both', which='major', labelsize=8.5)\n", "bar1 = ax1.bar(rw_q[0], rw_q[1], color='red', \n", " edgecolor='black', linewidth=1)\n", "\n", "\n", "ax2 = fig.add_subplot(1,4, 2)\n", "ax2.set_title(\"White Wine\")\n", "ax2.set_xlabel(\"Quality\")\n", "ax2.set_ylabel(\"Frequency\") \n", "ww_q = white_wine['quality'].value_counts()\n", "ww_q = (list(ww_q.index), list(ww_q.values))\n", "ax2.set_ylim([0, 2500])\n", "ax2.tick_params(axis='both', which='major', labelsize=8.5)\n", "bar2 = ax2.bar(ww_q[0], ww_q[1], color='white', \n", " edgecolor='black', linewidth=1)\n", "\n", "ax3 = fig.add_subplot(1,4, 3)\n", "ax3.set_title(\"Red Wine\")\n", "ax3.set_xlabel(\"Quality Class\")\n", "ax3.set_ylabel(\"Frequency\") \n", "rw_q = red_wine['quality_label'].value_counts()\n", "rw_q = (list(rw_q.index), list(rw_q.values))\n", "ax3.set_ylim([0, 3200])\n", "bar3 = ax3.bar(list(range(len(rw_q[0]))), rw_q[1], color='red', \n", " edgecolor='black', linewidth=1, tick_label =rw_q[0])\n", "\n", "ax4 = fig.add_subplot(1,4, 4)\n", "ax4.set_title(\"White Wine\")\n", "ax4.set_xlabel(\"Quality Class\")\n", "ax4.set_ylabel(\"Frequency\") \n", "ww_q = white_wine['quality_label'].value_counts()\n", "ww_q = (list(ww_q.index), list(ww_q.values))\n", "ax4.set_ylim([0, 3200])\n", "bar4 = ax4.bar(list(range(len(ww_q[0]))), ww_q[1], color='white', \n", " edgecolor='black', linewidth=1, tick_label =ww_q[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multivariate Analysis" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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tycCRvzBw5C9Uq9eGLfbzwfFDO4zzgW/uZwNVrds6X+UdaXp/TwaNns+g0fOp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\nkms8r+5jwokr+v2Yb8ZILMqATdmCdnfz+XNmmry9wOv4mXD2ho6knG1J0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pGP0rwAs7Eo\nx0+hUCgUCoUiH8/yGD+1IJpCoVAoFArFfwTV4qdQKBQKhUKRDzXGT6FQKBQKheL/2rvv8KjqtI3j\n3zuhhA6hV2kiKgIiiBUQBQvYe9e1rfra27qufW2sbZVd69o7dlGxoVSlF8EGNkR6aKEpJM/7xzkD\nk2TokN/APJ/rypXMmTOZm8ww88yvZggrLAwdYavxrl7nnHPOuQzhLX7OOeecc0l8Vq9zzjnnXIbY\nnsf4+c4d2x5/wJxzzmWaUt0F4/grft7s99p+DzTznTvcltF/7Kr1n1SKencok5ZbWU2aOit0jCLa\ntKyXdlvbQbS93ZOfhU5R1LkHwtgf8kLHKKJDq5pp9/gd1LY8d7ySXls43nBSNl9+uzh0jBL23rkq\no75fGDpGEZ12qp6W26Ol4zZybsvxws8555xzLsn2vICzF37OOeecc0kKbftdzsULP+ecc865JNtz\ni5+v4+ecc845lyG8xc8555xzLsn23OLnhZ9zzjnnXJLteak77+p1zjnnnEtSWFi42V+bQ1KupE8k\nTYm/11jLedUlvS7pO0nfStp7fb/bCz/nnHPOufTyN+AzM9sR+Cy+nMq/gQFm1hpoB3y7vl/sXb3O\nOeecc0nSYIzfkUC3+OdngS+A65JPkFQN6AKcBWBmfwJ/ru8Xe+G3HTIz3n72Lr4dP5hy5Spw0oV3\n0KjZLiXOy5sznRceupqlSxbSqNmunHLxXZQpU47ly/J56T/XsWDeTAoLCujW+2z27Hb0Fsk1/N07\n+O37wZQpm0O3E+6iVsNdS5w38OWrmTt9ElnZZandeDe6HHMrWdllmTDof0wd9x4AhYUFLJzzI6ff\nNJycitU3OdO40SN46vGHKSws5MCevTjmhFNLZH7qsYcYO3oE5cqX55Irrqd5y1YA9H/ndT79qD9m\nRo+De9P7qOM3OUfx++z39D1MHjuEcuVzOP3i22nSvOTjN2/2dJ568FqW5i+iSfNdOPOSOylTtuzq\n63+dOol7bzidsy+/hw5799zsTAP73cFPkwdRpmwOh51xN3WblHzs+j99FbN+nUR2dlnqNd2Nnqfc\nRnZ22Q2+/cYYP+YrnnviQQoLCzigx+EcefwZJTI/+/gDjB/zJeXK53DhZf+gWctoR4KlS/J5/OG7\nmP7rTyBxwWV/p1Xr3TYrT/L9ptvjB9Czg2hRX6wsgP4jCpm1oOQ5vfYU9WsIBPPz4b0RhaxcBTWr\nQO/OWdSrAV9MNEZ8v/lvihPHDuelJ++jsLCQLj2OpPexZxW53sx48cn7mDhmGOXK53DupTfTtEVr\n8ubO4ol/38LihfNB0K3n0fQ8/OTNzgMwYcyXPP/k/RQWFNKt5xEccdyZJTI9/8T9jB89nPLlczj/\n8htp1qL16usLCwq48cqzqFGzNlffdP8WyTTs25+5583PKCw0jt6rLef06JzyvEm/zuSMB1/knjMP\np0f7NTtvFBQWcvK9z1OnWmX6XnDsFsnU9ok7qXNYN/6ck8fg3Q9Pec4uD9xAnUO6UrB8BRPO+RuL\nx30DQO2e+7PL/Teg7Cx+e6ofP/7riS2SaUuzLbCOn6TzgfOTDj1uZo9v4M3rmtnM+OdZQN0U5zQD\n5gJPS2oHjAEuM7Ol6/rF3tW7FUhqKmlS/HNHSQ/FP3eTtM/Wvv/vxg9h3qxfuf6BDzn+vFt443+3\npTzv/Zfup8thZ/D3BwdQsVJVRn7+JgDDPn6Zug1bcPU9b3HRTc/w7gt9WLVqvR8i1uu37wezeN6v\nnHjNR+x/zG0MeevWlOe13P1wTrj6Q4674l0KVq7gu5GvA9Cu6zkce/nbHHv52+x5yBXUb95ps4q+\ngoICnnjkQW64tQ8PPvIsQwd/xm/TfilyztjRI5g5Yzp9n3iRCy+5msf/E72YT/vlJz79qD/33P8o\n9/f9H6NHfsnMGdM3OUuyyeOGMnfmr9zycH9OueAmXnninynPe/vFB+ne+3Ru7fs+FStXZfjAN1df\nV1hQwNsvPEDrdusd7rFBfp48mAVzfuHcWz7m4FNv55NXbkl53i6djuCcmwdw1j/eY9XKP5g4rN9G\n3X5DFRYU8PSj93LdLfdx739eYvjgT5k+7eci54wf8yWzZkzngcde47yLr+N/j/xr9XXPPvEg7Trs\nxX2PvsI9Dz1Hw0ZNNytPsnR8/FrUh9zK4pH3C/lgVCGHdEz90v/JWOPJjwp5ckAhi5caHXeMthpd\n/id8PLaQEd9tmVaQwoICnn+sD1fe9G/ufPg1Rgz5mN9/+6nIORPHDGf2zGnc88ibnHXR33nu0bsB\nyM4uw0lnX86dfV/jxj5P89mHr5e47aZmevaxf3HtzQ/S5z+v8NXgj/l9WtHfO2HMcGbN+I37Hnud\ncy7+G8880qfI9QPee5UGjZtudpaEgsJC7uz3Cf+94Djeuv4vDBj7LT/OmpfyvAffG8zeO5W87xcH\njaF53ZpbLBPA9GffZGTvc9d6fe1DulCpZVO+2LknX194I2363hJdkZXFrg/dxMjDz2VQ2140OKk3\nlXdusUWzpRMze9zMOiZ9FSn6JH0qaVKKryOL/R4DUv3nKwN0AB4xs92Bpay9S3g1L/y2MjMbbWaX\nxhe7AVu98Js0ZiB77H8Ekthhx3YsX5bP4gVzi+diyuQRtO0ctSR07HIkX4+ONmwV4o/lSzEz/lix\njIqVq5GVtfmNw79M/owd9zgSSdTdoT1/Ll/MssVzSpzXpHVXJCGJ2o3bsmRRyT13p054nxbtem1W\nnqk/fEu9Bg2pV78BZcuWZb8u3Rn11dAi54z6aihdux+MJFq13pWlS5ewYH4e03/7lR1b7Uz5nByy\ns8uw627tGDF88GblSZg46nM6dz0cSTRr1Y7lS/NZlOLx+2HSSHbfqwcAnbsewcRRn6++/osBL9F+\nrx5UqZq7RTJNmfgZu3Y+Ckk0aNaeFcsWs2RRyceueZs1j139HdqyZMHsjbr9hpo65Rvq1W9E3XoN\nKVO2LHt3OYjRI4YUOWfMV0PYv/shSGLH1m1YtnQJC+bPY9nSJXw3aTwH9IxaKsqULUulylU2OUtx\n6fj4tWooJv4SvW/MyIOcslA5p+R5fyZtA14mm9VvNcv+gJnzoWAL9X79NGUydes3pk69RpQpW5bO\n+/Vg3IhBRc4ZN3IQ+3brhSRa7rQby5bms3D+PKrn1qJp3MpWoUIlGjRqyoK8uanuZqP8OOUb6tZv\nRJ34ObXX/j0YM6Lo/+kxIwaz3wGHRpla78bSpfksmB8VYnnzZjN+9DC69Tgy1a/fJJN+nUnj2jVo\nVKs6Zctkc0iH1nzx9dQS5708eCwHtduR3CoVixyfvTCfIZN/4ui9t0xrdsL8oaNZOX/RWq+ve8SB\n/P7C2wAsHDGBstWqUr5ebarv2ZZlP/7K8p+nYytXMuPV96l7+IFbNNuWYoW22V/rvQ+zg8ysTYqv\nd4DZkuoDxN9TvWBOB6ab2Yj48utEheA6eeFXjKQbJP0gaaiklyVdLekLSR3j62tJ+iX+uamkIZLG\nxl8lirq4la+/pKbAX4ErJI2XtL+knyWVjc+rmnx5cyyaP4fqNeutvlwtty6L5s8ucs7S/IVUqFSF\n7OyooKtWsy6L50fPq30PPoXZM37i1ou6ce+1R3HUGdeTlbX5T5Vli2dTuVr91ZcrVavH0sWz13p+\nYcFKpox9l8Y77V/k+Ko/lzP9+6E0223zur/m582jVq06qy/n1qpNXt68kufUXnNOzVq1ycubS5Md\nmvHt5InkL17EHytWMHb0V8ybu+mFTLLij1/1mnVZOL/o716av5AKFdc8fjVq1mVh/BgvzJvNhBED\n2b/nCVskD8CShbOpUmNNpio16rFk4dofu4KClUwe+Q7Ndt1/k26/Pgvy5lKz1pqej5o1a5d4859f\n7JzcmrWZnzeXObNnULVadR598A7+dtmZPP7QXaxYsXyTsxSXjo9flQpi8bI1b0SLl0OVCqnP7b2n\nuOyoLGpWFaOmbJ1xTgvmzyU36bGpUbMuC+bPXc85dVhQ7O84d/YMfv3pe1q02rxhAwAL8uYUub/c\nWnVKPKcW5M2lZu3k59Sac1548gFOPuv/UJY2O0vCnEVLqFd9zYeSOtWrMHvRkiLnzF6Yz8CJUzhh\n391L3L7PmwO54siuZGnLZdoQOQ3qsnz6mg/sK36fRU7DuimOzyanYaoezPBKo/Bbj3eBxFiDM4F3\nSmQ0mwX8JinRt38g8M36frEXfkkk7QGcBLQHDgM6recmc4AeZtYBOBF4aG0nmtkvwKPAA2bW3syG\nEA3WTDRbnQS8aWYrU+Q6X9JoSaMff3xDhwdsuu8nDqXhDq25+b9fcNXdb/DWM3ewYtmS9d9wCxv6\n1m3Ub9aR+s06Fjn+67efU7fp7pvVzbu5GjVpylHHncJt/7ia22+6hqbNW5KVnR0sT7LXn+nDUadd\nvkWK9U316Su30rhlRxq17Lj+k0tZQUEBP//4Az0OO5q7//0s5XNyePf150PHWi3049d/pPHQO4Xk\nLTZ2aVK6BcPGWLF8GX3vuY5TzrmSChUrB80ybtRQqlbLpVnLnUv9vv/11kAuP6IrWcUKzkGTfiS3\nckV2aVxvLbd061JohZv9tZnuBnpImgIcFF9GUgNJHySddwnwoqSJRLXLnev7xT65o6j9gbfMbBmA\npHfXc35ZoK+k9kAB0Goj7+9J4FrgbeBs4LxUJ8XjAhIVn/Ufu6rEOUM/fokRA6OxcI2bt2Fh3ppP\nVYvmz6ZabtFPVZWqVGf50nwKClaRnV2GRXmzqZobtWyN+uJtuh95LpKoVW8Hcms3ZM6Mn2jSsu1G\n/vNg8vAX+W5kNM6rdqPdWLJo5urrli6aRaWqqT/tjfmkL8uXzqfnMQ+XuO7HCR/QcjO7eQFya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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(figsize=(10, 6))\n", "corr = wines.corr()\n", "hm = sns.heatmap(round(corr,2), annot=True, ax=ax, cmap=\"coolwarm\",fmt='.2f',\n", " linewidths=.05)\n", "f.subplots_adjust(top=0.93)\n", "t= f.suptitle('Wine Attributes Correlation Heatmap', fontsize=14)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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Hgt5c4/4Z4F3gMaXUq0qpG5VSBb1oXxCEPkg85s8I2gEMw0E8nrhoYHgcVn08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h1Vn9CbYbEw58gRFvfp43BUPTgkxDYR1ZEX58xhztSpdtvPOXKEGSu1XTywtso31SfK1kV5efnz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\nl2XX59wZ978z1O+fItLew/p2IvKB8b2LiIw1vncTkcu9pY/G99CGu+a0K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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cols = ['wine_type', 'quality', 'sulphates', 'volatile acidity']\n", "pp = sns.pairplot(wines[cols], hue='wine_type', size=1.8, aspect=1.8, \n", " palette={\"red\": \"#FF9999\", \"white\": \"#FFE888\"},\n", " plot_kws=dict(edgecolor=\"black\", linewidth=0.5))\n", "fig = pp.fig \n", "fig.subplots_adjust(top=0.93, wspace=0.3)\n", "t = fig.suptitle('Wine Attributes Pairwise Plots', fontsize=14)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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Y6NYFz8lMYSF88YWJXF6e7b/4Ajp0CL/uBQugbduqZW3bRiO2ScIFz3HSELFu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\npip07WqTMLt2tedRePLi6k7XFq8vijh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rj = sns.jointplot(x='quality', y='sulphates', data=red_wine,\n", " kind='reg', ylim=(0, 2), \n", " color='red', space=0, size=4.5, ratio=4)\n", "rj.ax_joint.set_xticks(list(range(3,9)))\n", "fig = rj.fig \n", "fig.subplots_adjust(top=0.9)\n", "t = fig.suptitle('Red Wine Sulphates - Quality', fontsize=12)\n", "\n", "wj = sns.jointplot(x='quality', y='sulphates', data=white_wine,\n", " kind='reg', ylim=(0, 2),\n", " color='#FFE160', space=0, size=4.5, ratio=4)\n", "wj.ax_joint.set_xticks(list(range(3,10)))\n", "fig = wj.fig \n", "fig.subplots_adjust(top=0.9)\n", "t = fig.suptitle('White Wine Sulphates - Quality', fontsize=12)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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sN37//dPJzXVRXd1CKBRJ9FlpaQ6ysuz8+Mcvs317My6Xg+uvP5bBg3swYEAO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Md8JfFxgwO5Uj6GIUTRnU6FpUsrrUTOlNJpa+shEIijqjL33TcTRZEzSW22lZ9O6yQSaQxD2HSK\nr0UyJqqtUkYjVlQ7zdYcmALqceJxnZ07L1o83A0bZuL1Kuzd28uaNXVs29Zp8XlHRxPs39/Lli2z\nSCR0RkdjtLZ2k0wa3HffTAoLHdhsdhwOl6WmkE5n37fPZ+OGG8os+Z933x3g/vsbWLSoFJCsz21s\nLEk6bTA2JirL5gFAUcDvt1NXV0BVleeyhLasTPBsc5GrcHHp/T/r7/OzqiokEtnnNS2CHY58Sz+P\n6wOxjiX27hVdlxdfPIuiSBQVOXj88YW0t/fz93//eyYmEjgcCj/96VpuvrmGHTs6WLCgjF//+iSF\nhXb8fpV//ud9RKPCROa//Jc78fkc/Lt/tz1DAzL4+c/XY7crVFV56euL8dFHo7hcKna7wltvXWTZ\nskpKSpyMjcU5fHiAiQkx5GYYSkaLN0tLEjHNsAoF8XjqsuHadNrAMBSeemox4+OC/2/GIUkyOHdO\ndJLS6WyCeqnBzJVsec3XcTolKitLeewxD9FokqIiO+Xlnz6OfFrkeex5XAtUVno1l0slN9F1uVQq\nK73XtWq6ePHieE9Pj+PMmTP2uXPnJl988cXiT37UlxufKoM3DOMBwzAmDMP4J+D/Av4/4P7reWFf\nFITBgEEiEWV8fIJ0OoqmGWgaeL32nOqqaAsWFTmnSOUAbN/eydy5xei6kdG+TdDYWMvtt1ehqpJl\nz2kmtWVlbkulIbeVBlmuqmEYlJW5sdtl65/X6+DNNy8QDmsWv3b79k6Gh+MsXz6NZDLNLbdUZIbM\nRFtyYCBKLJamubmD1tYeRkZiaFqaN964gKLIJJNJJibGiUQmGBoapr9/goIC8b7nzy+1ElzxWRls\n395JIBCbMnDh8dhxuRQaG2tZsqQcgHPnxpFlmVgsTSAQo6jIic9nJxJJ0tsborNzgpGRaI5QfRZm\nAjxrViFlZe4/aGO62iDIZ+XIXfq8wmVObO555HE9EAjEeOONC8ydW2zFnEQiTSAQ5+jRAf7H/3iH\nxx5bzF//9S185ztLeeaZY4yMhFiypJwzZwJomk5VlYd/+qdWIhENTdOJxVL8/d/vIhbT8HrtGSqC\nxD/8w26Ki108/fQhpk3zUlDgwG6XGR2NEw6nOHCgj7GxOPv29U2hNui6QXm5OKiWlDhYs2YajY21\nrFpVTVGR3TKvyYXNJmeS9StTkJLJGC0tnWiasD9PJtNs397J6GiMRCLLvZUkYQLhdmeTSpNTHomA\nrkvY7W6KiwuRJLd1kL/WyPPY8/ismDOnZODnP9+guVyiDil0rTdoc+aUDHzCQz8TvF6v8fTTT3fd\nc889DQsXLpzv9XrTPp/vK80o/4PnPQ3DaLseF/JlgaYZ9PWN0tKSbY9v3FhPdXUpXq+Le++tp6Wl\nkw8/HGXdujomJhKXJV2mdJjLZeOmmyrYs6fH4qquXVvLhg3TaWvrJZnUM+oHBo2NdezZ0w1InDo1\narXWTIWEtWvrGB+PWY9paprNxMTlMjqi4mpn27YO6zoaG2t5//0hJiYET9aUBAOsQTBdNxgaCrN7\ndzdLl1bS2tqdmYI2aGqazSOPzKGzc/KyoTFzCMzvz1Zg3W4HbreNPXuE9JdZ3T50qI8DB/pwOlXu\nvns6J04MM316Abt3ZwXfr2YB/Mfiehka5I0S8vi8EQqJDglIU9avogi+6333NfBf/+sBYrEULpfK\nD3+4klOnhvnpT/fy9NMbqK4WVcxYLGUNnwaDCSYn45w4McTXv76Q3/72Q86cCTAxAXv3drFp01zG\nx2OsXCmS1B07LlomMh98IAZdDx7st+LSmjW1gMH58+OsWVM3xTp8y5bZfPDBMI2Ndezd20MopGVi\nWy1VVW4GByNWtdaUK6yuLiUeF9ccj2erWum0QSAgTGEgy701D5kej3A7c7uzCfClbof5tZrHlxWK\nImsPPjivY9GismuqrjB37txkrkbulTRvN27cGPrmN795Utd1Hn/88bqbb745AvD0009PkRm7VGv3\ny4ovcG77y4lQKGYluGYCuGNHBxMTY4yMhJg9u5jHH1/Mpk0NzJtXzpw5xTidCm63isuloqqiymqz\nydx77wxSKZ0VK6pxu4XM2P79fRQUONi8uZ61a2tZsaKasbEEJ04M8eCDDaxcWU1jYx3Hjg2wfHk1\njY21rF5dQ3v7AMXFLtatq+OOO2rYs6fLUk3IhdutMjoaQ9PMgS+JPXt6uOGGMpxOhQcemI2maZc9\nTpYhEIizeHEZra2iWptMis2subkDRZGZP78Ev98+5XXNIbBczlk4HOH11y+QThsZeTWZHTs6mT+/\nhFgsRSKRZuvWcyxZUmFVhuPxlFWhCQRi1+z3eb0GQfIDJnl83jBNIQR9Kbt+dR0qK9387GcHyB1U\n+dnPDrBwYTnRqMb3v7+TuXMLMzKANiQJwuEkhiHWaDpt8LOfHeC+++ZkDugqqZTBf/yPb1FY6ODA\ngT5kWZpStZ2cTNLePsiWLdlY1t4+yMhInOXLa3jrrYuZeKigKDJvvnmBykofYLBiRTUPPdTA1742\nB1WVGBmJs3179mCeTuu88UYnEMPpFANjuUindZzO7GcQDAo1EjOJjUQEPz4WE8mvyyViXG6Sm1+r\neXyZoSiyNn9+WffatTM7588v674W8mGfBv/yL/9SOm/evAUNDQ0Lg8Gg8v3vf3/083jd64V8knsJ\nRLUkG1DT6TSTkwnOnZvgF784zkcfDeNyOSkqKsRmc1Ne7qOpaTaKIhGPC3mrhx5qQFEktm/vpLW1\nh4MH+1m6tAKXSyGV0hkejtLScgGnU6W9fYjDhwdYurSSkZEYra09vPHGRebOLbXkvN59d5AlSyrZ\nufMCBw70ceBAP6FQitHRCPfcMxOvVwywmZzcDz8cyXEcE9XowkInS5ZUsGtXF4Yhs3nzTMstSZIM\n1q+fwYkTw1O4dAJShv+bxOHwsWlTg1UFyh0CMwcuJMlgbCxGOKwRi6Uy7msGyaRu8eN03bCS6NzX\nMgdZTHmwawHzunJxLQZBrtfz5pHH1VBU5OTuu6dz8qQwgzHXLxiMjESQL9GaUxSZwcEwIGTAxsdj\nTEwk+dnP7rb0aV0ulb/7u1W0tJy1NLpdLpUf/GAFL774oTnsQiKRZnAwar2uiXXrpvP731/knXf6\nM3GukiNHBhkejhIOa5aaQSKRJp0WDoqJhM5bb3Xx6qvnaG7uoK2tn0QibR2qzTiRSgmJr3RaZ+3a\nuilyYWvX1lkSZrncW/NrcwjWvN12ifBSfq3mkceV8eMf/3j49OnTpzo7O09u27btgs/n+0qT8PLN\nmkvg99stSS4hhZXO2RBsBINxxsYmSKUMfD4b/f06LpfCI4/MJRhMoqoyTqfM3r29VptM04TW66pV\nNezf30dtrR9dh9paLytWVOP12ikosONwKLz77iCalqa9fZCVK6tRFJnZswt57bVzhMOpzMCbQVWV\nm+pqH/F4iscfX0A0mkJVZRwOIUfmcKgYhpDd0jQxZNbW1oskCc7wk08u4qmnFmWqqGkcDtkyiMgV\nWVcUCY9Hxeu1EYuFcLlUvvWtBei6jtttp7Q0O7zhdEI4HAMELUPXDcs2WOgLC5gyR6akmPlasixM\nL7xeO4lEVs9SfI4Gk5OxKw6ffZx6wvUaBMkPmOTxeSGV0unvDzM5mSASSXL33TMYGYnw0EMNBAIx\nHA4lk7AZeDy2HFtow+Lju1wq06cXsHChg127uvjlL5s4cEA4Nv7mNycYH49TXe3lxhsr+Ku/upVn\nnnmP/v4QbreNoiIXdnuYigoPExNxtmypx25XmJyMYRg6N91UQU2Nh97eMO3tQ8RiGroujHFMzW5V\nVbHZFCorPRQU2AExg/DRRwGCQQ1ZljI0qiwn3+wSGQacPBlg3brpeL027HaZYDCB222/jIJgvndZ\nFlQEs7qrqlBaevlaNXV0v0jjlU+r/pK3C/7SQdd1XZJl+fJBkjy+EOi6LgFTkvJ8knsJci00U6lU\nxt62llOnAqxeXU0yqfOrX32I223j9turOHFimBtuKL+Mw5pKGRmbTWVKxbKxsZbBwTBOp0I0qqHr\nsG2b4K2VlDi46y5RGQmFNI4eHWLFimp27DjPjTdWcPBgH9FoiqIiO8uX1/CrX53E4VC57bZKDh3q\nJ5UyKCiwc/fdM9ixo5NkUsfvt7NyZQ1HjgwCIlAmkzrBYIJEQmfHDvHaPp+Nu+6awbFjAzQ21tLW\n1mNpWzY21tLVFWTXri4URcbhUC2ZsURCQpbFxmAYBl1dQV599RwgKrONjbW0tw+ybt109uzpxulU\ncTgUNm2axXvvDbFuXZ3FybXbFTZtqscwXIyPi2v1eCAeN+jtHeWNN6bKiC1aVIokSZ+onnC9bH2v\n1/PmkYeJVEqnvX2IrVvPAWJ49K67pmOzKbzyyjmqq93cfHMVFy6M8/TTG/jbv32TSESY0fzsZ3fz\nP//nYVwulaef3sDx46PMnFnI0FCMVCpAdbWfn/xkD7FYiuJiJ//4j2tQFIn/9b+OWpa+Tz+9ga6u\nMCtXVrN7dxeLFpWxb1830ajG5s31nDgxzMKFZbz9djcLFpQQDArThQ8+GKGpaTZvv91t8XW3bKln\nbCzGq692kEikrArtRx8FqK72sXGjl5aWqQoKJSXCBGL9+un094etWQOfz05BgZuqKqHA4PcLWgKI\nWOT1iphgJsGKguWEZkLXBZ3hUgttk9rweeDTqr/k7YK/lPhwZGRkQVlZ2WQ+0f3ioeu6NDIyUgB8\nmHu7ZBhf/t/NLbfcYhw9evS6v048nqKvL0wwmMTvt5NKpTl3boL29mFuuqkMWRac2lRK5447pnHw\nYD8rVlRz6FA/ZWVuVq+uyWjJCtWD8fFETrtM5qGHGpicTFBd7WViIoHP5+D11zvo7g5jGFBT42Xd\nulocDpVkMs3ISIxjxwYJhTQ8HpUbbyynutqL3S7z3HMfkUikretIpXRcLpVoNEVJiYO7757B4GCU\n2bML2Lr1HIFA1sfeZpN54omFdHRMWLe1tw9nXNsaiEY1y5JzYCCKqsrs2tVlJeputw2bTeHb316M\nw+GmqMggFIoRDCZ5/vmPmJxMWFbEYkiunrIyJyCqtn6/naIiJ+PjcSKRJLIsk0zqeL12JCkrX2ZW\nwnU9yjPPnEDTdItXp6oy3/3uYoqK3IxegTFUWprd0HTdIBCIMTmZxOu1U1zswmaT8pvD9UX+070K\n/pB41t0d5F//9fiUA7MwY5lJSYkLm03mmWc+ZPnyaoaGwsyc6Wd4OEJVlRebTWZgIExlpZcPPghw\n/nyQxsZajhwZIBJJ4ffbmTHDRzyuUV9fBEjU1xdw+vQogUCMmho/IBGJpHC5ZN54owubTWbVqhre\neWcAWZb4+tfn0tMTorW1B7fbZsVJh0OmstKN3W6zul7ptM5vfvMRqZSBYRiWDfkTTyyistKHrouZ\niHD48m7N8HCUX/zifRKJNBm9dmw2mSefXIzP5yYeF5rVZrwdG8t+hmYCW1IiHARNxGI6g4NhgkFh\nJiFJCpGIRnHx9ZEXuxJSKT4xfv0h98vjumLKH8SxY8fKVVX9JbCIPPXzywAd+DCVSv3FzTffbNkN\n55dHBvF4iuPHh2lu7shsKMJVbM4cPwcO9GUkuLJWk5IkWYNdZWVubrutildeOWdNEjc1zWb//l6G\nh2O43Sq3315Nc3MHqZTO8uXVHD48SCymsWlTPamUUAW57bYqfvvbM2iajsdjY+XKGktDcnQ0zq5d\n3dx33wyKi93outDOzV5HNsAHAgkGB6O8994wxcWOy6acH3ywgUAgzv79fdZ7vfPOOlRV4sUXTxOJ\npCybzA8/FI5pJv8NsmoMsVgSh8PFmTOj7NjRyZIl5QSDSRwOhUQijaaJf7IsM21awWWbRlmZm9JS\nt1WhcLtFNebSCkY4nLyiisSlqg65MCenr+bWNm9eKS5XPtHN48uNycmsgkoqpeNwKNaBtrn5HOvX\nz8zobkucPj3B6dPi4Op0TqDrBqtXTyMe17nxxgoGB2O0tw+zfv0Mduw4TzCY5P1DCSwAACAASURB\nVKOPxjMKCYOsXz+d0dE4+/cPEo+nOXlywlr369bVWl0gENbBABMTCQ4fzpq+tLX1UlnpYsWKaTz/\n/BkURRx0V6yoxjDE+3E4lAxHXwSssbE4ZWU+XC4Jl8ttSZDlIhwWyhKmhKOumx2pJIoi7m8YQrYr\nFsvGQhNmq99EKqXzwQeiQu5y2axumK6LBP1aq7xcDZ9WpSWv5vLlQyaR2vJFX0ceH4/rtjwkSXoG\n2AQMG4axKHNbMfAiMAO4CDxiGMb49bqGPwR9fWErwQVyXMUW893vLiYYFIYI06d7mTGjkJISJ2vX\n1qKqMnfcMY2XXz5rPTaZ1Nm2rZMnnliIpukMDobo6ppg5kw/XV1B9uzpsdzLduzo5NvfXgDAs8+e\norxcVIRFQqpwxx3VvPVWD6WlTm68sZzSUhHQnU5R1VEUsNvlTJVTJG3FxQ6qqjyUltYRCMQZHY3w\n8MNzSCSE9afXa+OFF06TTuuZwTM4eLCfLVtmUVrq5JZbCpEkifHxOHffXcfwcMzizorWn6AxqKpO\nPD7J2FiUpUsrUFUZVRVmFy6XDZMTWFnpJZEwLXxFKzCdFtUJSYKJiSyH7tKkU5KEPrFpEQxYsmqX\nqjrkQpZB04S26PbtndbmrGk6LS2dlJR4qKlx5zeIPL7UKChwWGvPNKDx+WwMDkZZtEg4H5kzA7n8\ndvN2MYAqUVamsmxZZYYCpLJqVU1GfgyOHx/KxAIZp9OGokhT2vVC5jD7NYjhtOJiO2VlLtavn048\nnmLDhun4fA68XhsvvngGkPD7bSxeXI7HY6OkxIXHYyMS0TLXKq55eDhCSYmXykoR29JpsX51XVyf\nYWQ1ys0YYF6L250tzZqxwOSq5ia6JmXBRH9/mK1bRVFi+XLhCmm6UGqazvbtnVRVeS4zp7kWMIfi\ndF38c7svT8wvjWt5NZc88vjjcD23+F8B/y/wbM5tPwJ2GYbxz5Ik/Sjz/d9dx2v41MitmJjQNMFd\nff31C5bj1/LlNRYvzOOxsXZtrXXfXCQSaSYmEpw6NcQPf/h7olGhXfnjHzcCkrVZJJO65RZUXj61\nImzq4dbWepk5s5CDB/tQVdEuXL68mt27uzl6dJi1a+syVQioqnJz++01vPLKWUAEzrVra3n99QvE\n4yni8TQPPdRgaWWahhTxeJpkUuf222vYuvWcxaPbvLker1flzjsFd1aWJdJpnVWrannppTPcfHMl\ndrvMe+8NsmJFDXfeOZ1du7oQCa7QvZUkwbE1OW+ynJX8MVuJLlfWgjMSEZ+hJJmc3CxP2vxcNm2q\np7jYhSxf2UZT07Lua4mEWX3P6gKLqe18kpvHlxvV1V4eeKDBSshUVWLDhpns3HmRW2+t4J13+ti8\nuZ62tm6rmqooUobHOoO9ewW3vrTUzcGDQsWgoMDBsmXCpVGWBc9306Z6du0S/NmVK2s4eLCfaDSV\n6ShV8957Q3i9ort0+PAAbrfC8uXT+NWvTmIY4qC9fv0M3n13gJtuqiAYTFJQ4GDJkgr27+8jHNYs\nW/G33rqYeS9CJeH990eYMaMITXNb/FhZFtq3ExlGlSy72LQpa8vrcMjce289TqfLchs0Ez5VFXHm\nUq5t7lrPjfdmNwzEXIEkZfW/r3WSa3JrNU3EOfP6vF6h63vpezGRtwvOI48/DtdtizcMY68kSTMu\nubkJaMx8/WtgD1+SJDe3YmLCZpPxeGxWgrtmTS0DAxFWr67hww9HCYdT7N3by7e+NQ+7XZ7S0hfP\nleIf/mE3sVgKSRLalT/5yR6efvpeSktd1v0cDgXD4LKKsKbpbNvWwVNPLeL550+TShksW1bOm29e\nxO22sXp1thrzxBMLiMV0olGNwcEIPp+NSEQkta2tQtmhtbXHUjVwu22EQskpnOFAIGaJqZtJ4e9/\nf5HNm+uZOdPNE08spLNzklRK58iRQSYnE9ZzL1pUxs6dF7nrrumsWVPLtGl+iopcFBa6SKclolFR\ntQgGBXfO5RJB3u3Ofm0YItCbSapZPfJ6hSXn448LMXu3257Z3KQrqhwYBgQC5uCafUoVWvB5hcXw\nxESUsrLPh3uXRx5/DFRVZunSCiorPUxOJjJxCjZvnglITJ/uJxxOsGHDTOx2mccfX8DAQJhIJMXJ\nk6Pcc89MBgej2O3iYC3Lwir8vfeGWL26hmnTfNhsMi0tnQwNiY7N4cOD3HprJcXFzoxijMR999Vj\ntwtnsoICwal//vmPModeg3TaoKXlPI8/vgBN03n44TkUFNjp7w9z880VHD8+QiCQoK2tO3Pwlejr\nC/HOOwOZNWyfIvllHnrBlAQTMeA73/FYnN2CAhEDLlUakGXx+NyYcKlqwqUVcvNrMxaYyg7XGun0\n1ATXfH+RCBQVXV01Ia/mkkcefxw+7zpWhWEYpi3dIFBxtTtKkvRd4LsAdXV11/3Camq83H//7Ms4\nuSdODOHz2bjhhjJee62TSETIYa1bV0d7+xCBQJxwOGlVGnMroB0dowSDSex2xdKAjMdTuN0K4+Nx\n63779vUyfbqXurqiyyrCyaROKKRZCakIkjqTkwn27+8jmRSDbqbFr+kLLwZMBjO6t+K1TaWIw4f7\n2bBhxpT3aqog3HBDOZIkWdecTOoMDESIx9NEIkn27eu9jJ9r2hwL7VudqiovdXXFRCISk5PZiqxZ\nqchtQ8ZiomKT1dDNbgJm5dXjyVpyOhxZ/p3JR7tU5SCRyD6fw+Fi48Z6y+BDluH226vYtu0ciUT6\nc+Pe5fF/Nj5LPFNVmbo6P4CVoDY3d0yJNZqmoWkS6bQYjnU4FJYsqeC110T3o7TUyT33zMzEqLQl\n17dvXw+33FLF0FAs00Y3SCRStLb20NhYy9GjgxkObwdjYwk8HnG4DoWSlvygeH9QWupkdDSeUaYR\nna5Vq2r48MMRli0T+rmBQIKhoQiKIrF3by82m8yDD87B4XBd9r5z5cHEepYoLLwyZ/dSyPLUIbNL\nkVshP358hLVrazl0qB+Qpuh/X2uY3NorcYbh4/m1eTWXPPL4w/GFLRfDMAxJkq4q7WAYxi+AX4CY\nRr7e1+N0qtx0UzllZW6CwQR+v4PiYju7dnWzdKlw5jKHKzVNZ/fubpYvr+bo0SGGh2OoqqiimILq\nFy6Mo6oyf/M3y3jppVOMjcXQdSG+bhhQW+vniScWYhg6d9xRm9GhTV1WEbbbZZxOBVWdWnUwuWkF\nBQ42bpzJjh3nSaXEAEoymWbPnh5WrKhm797ezBS1H4dDJp2GGTMKMwNptZbxxbvvDqLrBlVVHlat\nqubo0WESCTHJresGO3deYMuW2dhscmbQJcuNlSShcevz2Zkzp4jSUj/RKCSTUcLhJB6PUE1wuURF\nV2gHi+QVyDx+auA3fwaienHpMJr5mCshl5NnGBJVVaIKHA7H6O0N8v77IwSDwjzmk7h3eW3KPK4F\nrlU86+sL0dzcQV2dj4aGAoaGwsRiCaqrfSiKUFP45jfnEw5rtLZ2s2xZJSJuGbz7bj8PPtjA4GAE\nu12s2xUrpmHq64pDoPjj9vvtNDQUMm2ah337elm0qCwzfGvw3ntD3HdffcZiOItFi8p4++2sCoui\nyGhamsbGOsbG4tx2WyWtrYI+MW2aj298Yx7JpG7NGcBULu2l+rcg1nyuru0fux4vrZAXFTlYsqSc\ncFi7TNnhWsKkF3wSZziPPPK4Nvi8k9whSZKqDMMYkCSpChj+xEd8jnA6VerrC63vdd1g8+Z6+vvD\nVivL6TSVA8T3mzbNYnIywc6dIrjX1XkpLrbzH/7DTmIxwWn7679exnPPnWBsLMZ/+k93MHNmEXv3\ndtPQUMzevb2WRNiGDdMvqwhv2TKbfft6Lb5dbtVBUWRuu62KoaEowaBwCXO5FEvdQJIkvF4bq1dP\n48CBPhYtKmPHjk5cLhtut4KqSrS1CUk0r1fwjd9++yKTk0nWrBGV3aVLK2lvHyIaTTEyEmX16mns\n399nDY+sXVuLw6Fw8GAfy5dXs21bJ3ffPZ1k0qClJcuh3bixnvr6Unw+iXBYtN5yOWmm9zyI781K\nrts9latrbgxut9jsrjSsZvLXJiayFaCiIjfxeJIDBwam3FfTrs69y2tT5vFlw+Rkkro6H6qq09T0\nAtFoCrdb5b//93u45ZZptLb2cuutgie/YEEpe/b0WGtw7do6xseFq6KpAHPgQC8g+LstLedJpw10\n3WDVqmns2NHJ6tXTmD+/lF27unOep5ZkMmXFJJNfW1LiIpEQpcpc3q+Z0G3aNIsNG6ZnzByS7Nhx\nPiM3Jrj7s2aVAlKG2pXl1ZprraBArPlrtR5zK+Qmysv/mN/Kp4eiiEN7bjyTpDy/No88rheuq05u\nhpO7I0dd4f8BAjmDZ8WGYfzwk57n89LJvRJ03aC3N8SvfvUh6bRhVTMURSS4sixZsl8AixeX8MMf\n7sxUEQ0kCRwOhV//+gH8fgcVFV46OsYzGrnnAYmbbirD5VIoKnIhywZer4OxsXjGKjhJS0sXbreN\npUvLMQxwOmVqa/2kUjovvXSWW2+ttOTAANxuFVWVeeSRuaTTOiMjUXw+B9u3d+J0KhkN3YjF0fN6\nbQQCcU6eHCUQiGO3K8gyGTH3LkZGYpm2YgPj43EqKjwZ8wYVmw0uXJgkHtc5eXKEYDDJypU1Gee2\n7N+WzSbzF3+xGFl243QK6sKlKC4WdAUzOc2lOJg8O/FcEAqJ23N1InOrrmaVN53OboBDQ1F+/esT\nUyghDofQ271SkpvXpvxMyB8DroLPEs86Oye4cGHMSnBNuN0qLS3f4vDhIRYtKqW62svvfndmSlfI\n4VB46qmFmUO1jdHRKKWlbhRFIhxOYrMpxONpQqEE8XiaVMqgpsbNa6+dJx4Xr2Umuo89toDXXjvH\njTeW5ziMyezfLwxrcvW7Tb6r32/nkUeEru7u3d2WBKKoYor44PG4MzFuKsdeVbNcexNiYNUgFotl\n6BNpCgtdFBW5kKTLubp/CK5nBydXXcGcqbjSYT2PLx3yv6GvIK6nhNgLiCGzUkmSeoEfA/8M/E6S\npD8HuoBHrtfrXyvIsmit3X9/g8U1s9mEM5eupxkcjGSczgSi0STRqGYpF4jbUsRiGo2NMzh2bIid\nO7tYubIGu13mppsqrIrpyy+fRVHEc9133ywOHOjFMODOO+vYv7+PtrZeVFWiqWk2Y2Mxy0ShvX14\nSlVFUSRuu62KlpZOVq2aRkvLBdasqc206CrZtq3D0sJdu7aOYDBpVXfSaYN4XCgvDA1FmZxM4vHY\nWL9+Br///UXGxhL4fHaamhooKysgEJhkz54+dF2fshEmEkIf10Q6rTMxkaSwMJtMmlUM85wVj18u\n/3PpcAaISWTzdpOX+0lVV5EQZ/m5mqZbephX497ltSnz+DJB1w2i0QSjo9EpCS6IGNPfH+LGG8vp\n6pqkstIzJS6Z8oJnzoxz4EC/5Ub4/vtdGe6u4PiWlDhYu3Y6O3d24XSqlJRMnzKg6nCIcuPAQJi1\na6ezbZt4nMOh8NBDs7njjmm8/Xa3pVBgcvttNoVgMMnYWJxkUreqv5IkZaS0hOatx+NGkoSZQ24F\nV1Egmcy+XzPBvXgxwNBQmN27uy0ntM2bG6iuFlXhP6bSe707OKaUYh555HH9cT3VFb5xlR/deb1e\n83pBliUWLSqlqspDKCQme9Npgxde+IjVq6dlpo5F8uP3O3G5VFKpbBXT7VapqPDS2xvizTcv4Hbb\nqKx0U1paSyAQZ+nSSitBTaWEBuWuXV18+9sLSKWERuScOcVMTCTwem2k0wa9vUGmTXNjGAaTkwmO\nHBlkxYpqZFli3rwiNC1NaamLSCRJRYWLqioPqlqZsR8W16VpOq2t3Tz88BxL0gywqtBz5hRSVuai\nuNjFa6+dIxpN43bbSKcFl/WppzwUFdmx2SQmJ7ObrsnRBWEzvGBBaYZ6IFNQIKrhJjf3Uv5dKCSo\nCGal17xP7v+5rwNiQ5Kk7DS2iclJsZmYVRKXS8pUuTxEIsLV7uO4d3ltyjy+TAgEYjQ3n2f16irc\nbvWySm55uYe9e/t49NF59PeHrU4NiL9/k8dvHr737Onh4Yfn8NJLZ/H7bdTUePF4VC5cGKegwM7C\nhaWMjsYsfVphBpG2OP4DAxEeeWQOkiSRSKRRVYVp07w8+eRCDAPa24csXr+mpVFVoexi2vaaBjsA\nNpvQ5g2FoiiKC5NHnEjEuHAhSUmJUFNwu7NrdXw8Rn9/iLa2Hqs7EwolaWnp4KmnPPh8QpLMjAGf\nFun01AQXpsaSPPLI46uDvBXdp4QsC2ezWbMKKSx00tcXorc3zOuvX2D58mpSKYNkMs3AQISnn95g\nJY1ut8p/+28b0DSdU6cC2O2CR/vqq+fYseM8+/f3UVDgmGJ0kE4bBINJgkGN8vJCPB43DoePdBqe\nf/40zz33Efv29RGJJFm7tg6bTWZyMsHBg/2oqsyFC5OMjSU5eFAMna1cOY233rpAaakTTdMzVUwl\nMwCmMzERp6lptvVeTR3avr4Q4+MJursnGRtLIMsSum4ABqmUTiSSRJJcbNgw03q/NpuM12tjzZpp\nFBbaufHGcg4d6mf//j6effYkp0+PEgwaUwbLTPWFWEx8b24ksZi43Uxmc+9nakuOjWX/ua5QkM2t\nxkoS2O0SlZVu6usLKStzf+xwicntzUWeO5fHF4VQSLh+2Wwq//Iv9+B2i4XidovvL1wIEYmkiEQ0\nFEW4jKVSOrFYCkWRWLOmlg8+GLGez+y4uFwqBQUqP/zhTv7qr3bwve+9jscjnMrMLpGqivWtqkIP\n93e/O8Obb16kubmToaEou3d388ILp+nqCvHKK2cJh5Ns2DADXTemqEDs29fLhx+O0NQ0G5tNLCRF\nEYonzc3n+N//+wT9/aNIkk5//yjPPnuC3/72FL/85QlOnRolGjWIRMRjwuEkum5cQZEmzeRkkkhE\nxITU1KL3J+LjOjh55JHHVwv5c+kl+Dgulq4bBAIxhoailgB6bhXVZpOZPbuQaDTJ1q2PMjISobTU\nTVfXJC6XHYfDxubN9bz4ouDwlpQ4WbiwFMMwWLeulqNHhwkGEyiKhNOp4vXaOH9+mMJCO06njZGR\nMDffXA5IdHVNoOsiIfzGN+aSThskEumMxJnC9u2dPProXFIpg7feukgqZaCqEh6Pam0KNpuCzSZR\nW+tn375uHnywweLcHTrUx6xZRRw5MshDDzWgKBKRiGZ9TtXVHhQFhoZGKSlx0tRUj2FI1mdy/vwE\nDzzQwK9/fYpoVDwuHk+xffs5nnjCg9PptvRwAUtHV5bFZ16Ymf8zubjmz0BYd5otzVxKeSQiklCT\nrwufLSG9FtqUeXWGPK4FdF1Y2sqyGD4DhZaWb9HfH6K83MO5c5OMj0dZu7YWj8fO9u2duFwqK1ZU\nI0kSVVUeWlu7mJzUkGWJoiI7N91UnjG0qeGxx15F18UMQSKR5ic/2cPzz3/NOnA2NdVjsylMTsYI\nhRIEAgnsdplIRKO1VSi5tLX1Wl+//PI5vv3t+Tz11CKCQSE9BrBwYSklJU68XhuPPTaPeDxNd7dQ\nPAmFNCQJ2tq62bLFxtCQ0Ng9eXKUSETj9dc7efJJUaEVw6p2ZFm6TN9c6IDbLYqTw/Hxn+2la/Tj\nVFvyyCOPrxbySW4OPo6LZRgGH344yvbtncRiQuvWdOAxq6ibN9fT3NxJNKqxYkU1p09PkE6P0dhY\nx9at5wiHNdaurbUS3KVLK2ht7clRN6jm2LEhQqEkTU2ziUbjbN9+AVWFO++cblEahPxXHa++eg6f\nz8aSJRUcONBPNCoGSu69dyYLFxYTj6cZHY0RColM8sCBPjZsyGpl2u0yGzbM4uDBXmprC2lpOU84\nrKGqsqWzG4loGRmgaZaCREmJg9tuq+bZZ09aKgtNTbN5991+urvDGY3hBiKRFOFwcspnHAolCYVi\nFBaKVqLbPXXK2O/PJrEfh1wt3Fzag6aJpNiczv6sG9Nn0abMqzPkcS2g6yL2tLZ2c/vt1Rw9OsDN\nN1dx8OAAt9xSxa5d3fj9dm6+uZKDB/szpiop0mmDtjahnlBQ4GDdulreeOMCJSUOK2bY7cPMn1/I\n+HjcWoNOp0oymaa3N8iaNXXs2JFVe2lqmp3RkxUwHQRN/q/5tamhu3VrBxMTCex2hTvvrEOSYNu2\nTqLRlDVf0Nk5YcUon8/GwoUl/OY3pwiFktbcwPvvjxAOa0xOJpEkkeQWF7uorvaxbl3dFE7uxo2z\ncThcU7S3r4arrdG8u1geefxpIJ/k5uBKXKxg0CAUihEIxBgYCONyiYEyp1PIcD388Fw8HpV4PE08\nnmLhwlJOnhzlnXcGeOSRuYTDSbZt67SqoLouJHpuuKHMSloFX87g8OEBHnxQWO4eOtTHXXfN4Kab\nhD99S8t5q1qxaFEZ27d3IkkSixeXWYmyw6EQiWi89ppwSevomKSgQEiTeb32zDCcxte/PsdSiojH\nNRYvriAQiPLAAw309YXRdYP29kGCwUTGWz6KLMuW3311tYeXXz5Lrm5wc3MHDz88h5GRDiRJ4q23\nunjkkTk5rkLmwIXg5UHW4cydmUXLHcjQtI+fPs6tiF7K641EhFLDFz2xnOf25XEtEAjELEvr998f\n4aabKlBV+NrXhHrKU08tQteF8sKyZZUoioyqyuh69gCoqoLW8OCDc3C5FF588QzRqMayZbWMj8dw\nOlXLSCYeT1Fc7GTOnGLeeusiiiLjdAr+7FtvXeShhxqIx9OEwwkSCUF/qqhwU1DgIBrVMAwDu12U\nQ+PxNHa7gs0mU1Pj5fz5SVRVxjAMNM3gtddE3Ni27Tx+v43Gxlpee60TU/XHnBtYvbqW9vYhCgrs\nFmUpFJJoaCihosLNzJmFaFoaj8eF3Z51Q4RscnqlrsrV1mhJiVBRyXdg8sjjq438VpuDSzlXkmTQ\n1zfKG290Eo+nSKV01q2rY2AgRH19MS++eBa328Ztt1Vy6FA/sVgKWZasykM6LSPL2aENgOPHR2hs\nrLW4aqbEmK4bTE4muXAhyIEDfTQ2Ci1Ks0ISjaam6N9qmp4xlsj6ruu6kRkO0RkZifHee4M0NtZx\n8OBFQqGsrq3NprJ/fx99fWGcToWNG2dx6NAgq1dXo6qyVRXxeoVjkelHv2dPD4YB69bVkkzqVrIK\nZNzO0kiS2NxSKTE9vW5dnaWxaXrVS5JBPG7g80mEQllN3MJCsZlcydu9sHBqBTRXC1f8rqZKjsXj\nYmN3ua7efrzeyKsz5HEtEAolLc5+KKRx8GA/8XiK9eunU1XlZnIyyeuvX7C6Khs2zOCuu6aze3cX\nDoeCx6OyZk0dL710FlmWWL68eoq02PnzQX7840Z++tM9RKMpnE6V//yf7yQWS1uxy5QCC4WyMWrd\nujrsdpn29iEOHhTa2na7zKFD/WzZIjR4TbOZ9etnsGtXFz09YatLFAwmMrFLoqjIwfz5JQwMRIhE\ntIx+bq4mOdx3Xz2y7CIazXLzdV3CMNx4POKk7Pdn6UpmZ+jj1Feulrjquugo5ddpHnl8tZFfwjm4\ntB0Vj8doaekknRbGD6bT2be/vYDm5nOsWFFNdbWXbds6rM0hHk/R2trNmjWCG+d2yyiKDIiMZ3Iy\nQXv7IPff34DfbyceT2UqqkLSS1Q4dPbs6eGppxZhGGEcDoXGxlprSEpUQ+VMAmxM4aSJZM9GSYmT\nLVtm89JLZ62fiapID6tW1dDQUMjISBS7XaGw0MHtt1eyc2cXfr/N4vGJDcAgkdAz6gxyRqJMDJfl\nTnfnVmhBDKiY12lWgEWlVqK3N8i8eQ5k2U1hYbZaa7NNtfXNlQ+bmBDVFdP9zOTLFheLzQuyvF5z\n4zInqz/O3vN6Iq/OkMe1gM9nt9YeGBQXO7njjmmZRNDGCy+cyTFJsRGJaJSVuXjooTmAgdNp43e/\nOwOYttpGxjlRyRgvpAgE4Omn7yUUSuDzObjllirL0UxRJGRZyQy9ZWPU7t3drFpVw+LFZRw6NMDh\nwwM89NAcNmyYydGjg8yaVcStt1YRCMRpa+vmxhvL6e0N09bWw/Ll1Zatb1GRiy1bGvi3f/uQW24R\nRhbmgKzLJTS/GxqK8Hp9xGIxIpEkyaSd0lIXweDULDUYhKKiLIffrN7qukhwZdlA02KEw0nSaTvF\nxaaSw1Tk12geefxpIK+ukINLp+kjkSTptJ5JqsQwmKhYpli6VPDfROUhlZkUzrbYyss9OBwuUimd\nO+6Yhtcr+vA2m8zNN1cSj2vcddd0a9Ox2QQP9vjxkYw4ukQ0qtHRMYGiSBw9Osju3d3s29eL3S7z\nwAMN2GwS7703zLp1dZa0mKlp+8orZ7lwIUgkouVIepFDHRDf3357NW+8cZ7iYieplM7YWIJ33hmg\nra2H1tYeNM1gxYpqKzn+xjfmMmdOIRs3zkJVs0n3/ffP5tixIev7jRvrSSZ1Dh8eyCgyiPe5b18/\nsViaiYkkqZRIXicmxBBZInF1b3cQyWw8PpWeYLb+cxNcs8pjbnBfFPLqDHlcC5SUuNi8uR6bTaay\n0sVtt1Xxyitnee65j+jomAAk0mmD0lIny5YJY5jm5k62beskkdDp6QkSDmskk+KwfurUKI2NtTgc\nMseOifih6wbvvz9KV1eEmTOLCARiHDjQy333zbIUGgzDYNOm+sxrZmOJ+DpNPJ6mqyvIyy+f48KF\nIKoq8/vfd9Pa2kMolLIKBZIkhsVM7r7L5SUW00mn4eTJgKUYY1Kqli+vZteuLi5eHObf/u0EL754\nimefPUFHxyhmzBWyh+JaEgkRU8bHRUwwY4skGfT3j/LMMyd47rlTPPPMCc6cGcXrnRps8ms0jzz+\ndJCv5Obg0ml6WbZbVVJRGZApKHDg9drZs+dsJsiLBDWZTON2q7hcKna7QnW1l4ICCcOw88EHo6xa\nJRJdYWkpqiXFxSKxLSiwEwjEaW8fJBZLZWgIBj6fg3vvnclLL53BMCTcyUX4+gAAIABJREFUbhuG\nYbB3bx9PPnkjf/Znizh1KoDXq/Loo/NIJkV7cefOCwQCCQxDTGQLDrFKLJbCbhebS1mZi+XLqzl8\neIB4PMXwcAy/325paJoVlHnzilEUmYoKD16vHZfLjqK4qKsz+M53PIRCCQoLHbhcHiorhbKE223H\n6XRhGDESCZ29e3utz9hmk1EUCb/fnqEp6MRi4YzLkoPKSi8gTxkmy8WlnFZTfUFVr1zR/SI3q2uh\nzpBHHrk63RMTcZ555kOLbmBy/BVFYuFCYeObSokKaCSisX17J489tiCjqiLUE0IhjVOnRtm8uZ7B\nwSh2u8T999cTj6cpKXHR1xdi375+brmlnLa2blaurLFeq62tm0WLyujvD2fMHExdbBFXKircbN48\ni7GxuMXrBzG4W1rqsr6ePbuQuXNLcbu96LqMx2PP0CE03n9/hNWrp6HrBlVVHvbs6WH+/FKam89l\nigkiWd6xo5PHHvNgtwuqwqXryjBEZde0A06lstxmEEm6qfddVua2Okr5NZpHHn86yCe5lyB3mr6w\n0MGDDzZw8eIkhgFnz47T2FhHOi2hKBKaluXY7tnTA4jJ5M2b6/H7HQwPB5mcTNDUNItkUiccTuJy\nqXi9Krouoyh2Kiu97N59kQULSgkGtYwzkcQ998wExAaWShn4/XZLbkyYKSSw2STKy12MjMTYt6+P\nJUvK0TSdQEBsLLnXZibjjY21FBY6aGm5wOSkuJ/dLnP06BB33jnd2sRsNpkZMwpwu/2AzJw5PsbH\nY0SjSex2sNtduFx+yssFtUDYcLqx292Whm0k4mLjxtls337OmpRet64ucwBwEQ7rdHUN0dx8zpIu\ne+CBBhYtqsDvl0mlstq5fr/YqNzurOxYbuJos4mfB4OX8/G+SHwWdYY88jBh6nQPDgrbv9JSJ4sX\nl6GqMl//+lx27+5CliVrAFWopyiZ7lOaDRtmsmtXl+VOtmrVNMbGYoDBO+8MEA6nAIOHHppDKqWz\nZEk5RUVOIpGUFdtM9zKzErthwwyKipwMDkZYubIaj0elpeUCqiqxdGkF8Xgaw8CaBQBobKzF67Uh\nyzIlJX5L89qsVh850s/SpRUkk2kKC50cOdJPMKgBBmVlbtasmWa9tyNHBkgkklaSC6KLY1qCQ7aj\nE4sZTEzESCRSma5WtrMVDicpLXVfVWosLwOYRx5fXeS33qsgldI5fnyY117rQNfJiJnPorq6mGg0\ngctlQ5Ylksk0J04Ms3ZtLTU1fvx+F4WFDj74YJjm5nOUl7tZtqxqigzP/ffP5vTpAXp6IjQ1zaap\nqYHz58d55JE5JJM6o6Mx9u7tIRhMsnHjLEpLHcybV0pra7eVDJaUOHn7bWGz63arbNxYT3m5i9On\nx6zqs6nhe8cd06it9WG3K3R3TzI5mbC0a81gLaaiddasqWPnzosZx6JhNm6sp76+hNOnA1PscDdt\nqmfOHGGdqetTVRJAVFidTok5c0p54gkPoVAMu13B57Pj8bjQdYlYLGQluCA2nK1bz1FW5sHl8mMY\nIlE1DFHBNQzxvD4fjI5mX8uU5XK5plZNVfWLGzrLI49rDVMr1+ezsXRppRUPHA6FpqZ6HA4Ft9uG\nrhsZ6pLK7bdX8dprnTgcMkuXVlBa6rIcFfv7I1PkAtNpnUAghmFIfPDBMEuWVGKziU6Q6Xbm8diY\nPbuQ2lov0WiKV189RzotNLjNim8opNHePsjmzfUMD4tE+tixQRYvLufIkYHMgJqdaDR7eA2HJaqr\ni7jhBo2XXz47xUAiGk3h89m47bYqa8bA/JmYe8iudU3LDp+a1CUQA8QjI2HSaZ14XMfpVK3qs9dr\nv2rHJy8DmEceX23kU4CroL8/zNat5zLTvWmiUY1XXz1HOBzB4XBx33312O1qhg5gUFbmpaysmMJC\nN2NjESt5W716WkaXNpvINTd3sGJFDTffXE5/fwifz47P56C/P0JzcwcHDvQRCAiP95aW89x990xL\n8QBAUWSam8+xeHE5NptMNJpi69ZzyDJUVnpYt67OciBLp3WKihyUlXkoKirA73fy/vuiwmsOi9nt\nSqbSIvH2212WKLx4/U5GR8NWgguQSIhW4chIjHQ6Wz2JRkXFJByOcvHiBNFolHAYbDY3xcUleL2F\ngBuQMhJACVIpI2NKIf6lUobV4jStetPpLHXB5bqyfa+gl4ghM5dL/J9PcPP4U0IgEOOtty6yadNs\nK8E1E63m5g5GR+M0NdVz++1VrF1by/LllRw82EcqpRMMahw61M+bb15A03QiEaHWkkqJIdelS8tZ\nsaKadNpg924xJHb8+BCrV0/D77djt8uZw/Qstm49S3d3iG3bOgmHNWIxocm7Z08PN91UhiTBmjV1\ntLX1WG6HS5dW0t4+TCSSYu/eXjQtiSQZ1lrWdQgGwzQ3d0yJldu3d7JsWRU+n4MdO6ZSDUThIEU0\nKhQVQMQJtzs7dBaJwMSEGCA+cWLU4vvG40Kn9557ZmSkxAwSCZFw59KkriYxlnc/yyOPrwbyldyr\nYHIyYQVUE5qmEwolcLv91NSU8vjjHpLJJHa7yUEVO05WGkdUP670PMFggt27uzNVWRezZpXjdo+h\nKIKuYAb6ZFJUZM3BN9NaN5EwveSFlJempRkbS+LzOQgGEzz22Hxr0OTgwT6Kiz1EIhHef3+Ye++d\nxcBA6P9v78yj47qrPP+5taoWlUqbZcm7HYcsxvFJJ06wQwhJaGfBiRkgS2cctj50c2amT5hDz/AP\nMGf+ok8PDPSBzhyGA0MCJMSYOE6cNoQTIFsnxJEd48QQL1EWWZYt2aWtSipV1W/++L1Xi6Syy7aW\nknQ/59Sx6tXvvXfr+dWtW/d3f9/Lpz99Mb29w3g8QjTqw+fz0t9faN5QU+Md936K38PQUJpgMExt\nrZX4yuUMhw/35L+MfD4Pt922itbWpvy1cbFZ2iDhsI/BwUIntWjUTywWzC8kKW7p6z7G6uKCynIp\nc5+BgTSJxAip1KjTotoqtwwPW5WTaNTv6Ffbsqlbb11BTY2Xnp7hEqWSnp4kV1+9kL17u/OLQtva\novz+9++xenV9fg3C6KjB44Grr24llzN4PILPZwNBV8bQxdW1XbGijksvbcLngyuuaKG+PsCxY0PO\neoPRfJe07u4kweAora12Ngigvz89oZ8pXjRb/PlPp3OcPp1i0aJaQiEhkSjN4LoZ3aEhK8E2OJjj\nT386yfXXWwnHhQvD/P737zE8nOXWW1exaJH1U8WZWpUBVJTZjX5My1BXFxzXLtLv9xCL2cItY4Rg\nMExra3hce9lYrLCvK4Q+9jihkFVbGB3NsXv322zdGiMWq8l/6RSP9fttO08R8q8HAp78F0s6nXWC\nwwBDQ6PkcoauriFHh9c4C888PPaYDT7ffXeA55+3jSjCYT8iwr33XkwuB5/85Gr8fg/PP291dONx\nX8n7se/d1gXbGrYciYTHeS+pfIDrdkLatesIW7dGSurmXHw+H9ddtyivo+v3W7kxv983btHZRAFv\nMWOnGzOZHMeODdLXN0JdXZC2tig+3/jUrtbbKbMFV0rMNlOwny+3SUMk4qOnJ5X/cez1Wr/idlV0\nyeUMLS1hOjuHuPnmZYDNENsGNY2kUlkaG4MsXBjmtttWsHPnYTIZu7Atk7HT/H/1Vy15RZiCdKHg\n8diGE9ZHCU1NQWprAxw/nmTNmmb27TtJX99IXlrw6aetbyho3AbK+ly3tKBY39eVM8tkUgwNFfyL\nm8GNRNx/CxJsfX02oz06muX665cwMDBKLge7dh3h/vsjBIPhksWtZ5MBVP+hKNWNTuiWoa0t6sh0\n2UvkLoqKRKL5MXV11hEWy0SlUtDYGGXLFjdYfJ/Nm1flOwC5rTFffNEqDtiFIcZRJbD7uQ0i3IVa\n77yTYPPmVYyOWimfTCbHHXdcREdHIn/M225bwbZtf2bnzsOMjhpeeKGT3/3uXZ57rpNrr21jcDBF\nY2MQjwfeeKMwbWeM4eKL60gk0jz00Jts336I7dsPcc01rSxbFmXTpuU0Nka5/fZVjqyPLd+45ppW\nHn30IB0d3Xg8NsMyPJzOZ1tcR5/J5EgmbXbYXZDmLiZLpdLs33+S669fzI03LuX66xezf//JfDbZ\nHV+cwXXb9RYzVvInk8nR3t7Ngw/u4yc/eYMHH9xHe3t3XlDfxa236+mxckM9PaUSZYpSTdTX1/Cx\njy3jxRffz0uK2Va2Vjawvf0EYGdgRkezpNM5mppCJT5s06ZlJJN2HcGpU8Ns336I55/vdFqEB0kk\nUvmW4V1dQ3kt7GzW5Bu+LFwY5sCBQslTTY0XY2DjxkUkEsM88cQhOjr66O0d5sc/foN///djvPTS\nMdavX0hjY5DNm1fxyitdpNM5RkbsZ93W2teyZctFJfZu2XIRsVgtjY1R7ryz9DX3OG7r8OIfwu5M\nUCQCfn8o77/sQlDbsOfAgUJh/+howU/Z92v/PZMMoPoPRal+xMyCT+RVV11l9uzZM+3nHZsNbG2N\nIuIZ96t97K95j8fWrZ44MUgiMUww6AGEwcE0sViQ559/l46OwfwqX7/fwxe+sJZ4PEw6nSORGKS/\nf4RIxE8mYwPpRx89yJo1zflyhQMHTrJp0wqOH0/i9dppxN273+GGG5bwwgud+ayL23Hok5+8GI8H\ndu48Ctge8WvWNLF4cYyaGi8//OH+kixJIOBh69bLiEQCxOMxwNDb28ebb/aSyxn27TuZb/v7d3+3\njoaGGIlEkocf3p8PJt2V1V/4wlrq6sL565XL2et0+nSSH/xgf0nw6fPZ8WFnFZsbELt1tu4Ck1yu\nfPbk3Xf7efDBfeMyQl/60jqWLi1EyJlM6QI2l6YmnYqcBDSfVYbz9WcnTyb5+c8Psnp1PeGwl+bm\niKMMEMLjgZ/85M389L77+f/Qh1pJp3MsWhShr2+Yrq4BWltrqaur4Re/KDSKCYV8+P0e7rvvEnbs\nOExv7zAbNy7ihRc6nRkfH8mklSD83Ocux9bVjxIO++nrswtxf/3rDgYG0mzcuIi2tgjbtv2F0VGT\n75bm9Qp33fUBdu/uIJEYwe/3cv/9a2lutp91jwdHQ3uARCJNPB4gEqklGPSSTEI2m6S7uz+vrvDq\nq1309Izwt3+7FmPC48qY6ushnY9bDUNDKU6fThMK2TUNp08Xav99Pg/337+WYNDaUuwDymVr1X/M\nO9SnzUL0o3gGfD5PSVBU2F76fCKZqFDIw7JlMbLZHA8//GZ+e22tnw9+sJnOzqQT7Nm6VZ8vRC4H\nQ0Me/P4YjY2FALqn5ySnTo3w3HPv5+V7RkayHD+epL39BJs2LWP37o78Odwvrmw2V1Tba7VyvV6P\nk7XI0tISZfHiBo4ePVkS4NrxOUc3M+p8aQgDA6N5OaHic/X1jVBTA01NVgboySeP5L/YNm+2qg8T\nLQJzZYPc8T6fHd/cHCKdLl3w4ffbNpvuF5jHU/6LpFw9tSuZ5qL1dspswq3JdVuIu9x441IWL45y\n7bVt+dbbViZsEbW1Abq7B9izp5MHHthNMpkhHPbxne/cwjXXLOSFF44BNlObSqV5660EH/zgAl55\npYv29hN5CcJCw5qldHT088c/Hmf9+laeffYvjI7miER8bNy4mNde6yIeD3D0aJ8j/UU+0zsykqOj\no59jxwaJxQLcfvsqAoGQ0zbYfuZSKS/BYJyVK+17c32g1bANITLEb3/b4ZSCWZUXrzdEMFjaJTES\nsf4jl3Prc8X54RzG4zF85CNL84tpAwEPt966yllXMX5mqJwMoPoPRal+9KM4xbh1dMW95998s5fP\nfnaNszjLLlrLZoVstjQjWdB7LdTEui01XSmfNWsWIpIhlSos3pqori0Q8FJfH2Lr1rX5hg2hUIhA\nQCashQsEPNTXBwmFPCST1o54fOI65Xg8SFOT7dLmitYPDKSprQ3Q2BjKLxwZS7HI/djxF9JEoVw9\ndV1dqRCmtt1VZhOuLymu27fT90I47KO9/TgbNrTR1BSirs7Pe+/1k07bWtd77tmdLz1IJjM88MBu\ndu26r+Qz5ZYv/e53tl3viy8eo739ONddt4jW1ijd3YO88cZJLrmkgXXrFpQovtiW4bad+fHjyZKa\n3eFh2ygHDCtX1tHScgmBgI9YLFxS2lT8A9bvJx/8uq28QWhrswt+h4bSNDQECIdDDA1Z3+lKibn6\n2m5wPDRkXyuUMkh+4XAyaY9TX28XDp+Lr1H/oSjVj9bkTjFuttJd9OTzefjoR5eyeHEtK1fGWbAg\nnFcecOtNi51+JAKRSGl9sM8nfPzjK1m4ME48HqamplADXNzmt1hPMhAQGhujBINh4vE4wWCYUMie\nqKVlfC3cnXdeRDRaSzJpbYnFytcpL1oUxedzOx9Z0fqVK+M0N4fLBrgu5ca72ZNgkPyxK6WcnW1t\n0ZJx2nZXmU24vsRt8mCbLCzlrbdOEY0KN964jJdeOsb+/Sd5+eX3+dWvDnDwYA/vvNOXD3BdkskM\nXV0DNDQECQa9BIMebrppKXv3nsDrtR+2dDrLwMAo9fU1/OEP7/Hqq92sXdtMKGRzI279vStFZtuZ\nh2hvP5FvRON+Br1eYfPmVZw8meSpp46ybdtbPPTQfo4f7yGTMfh8MDhoA9xo1GZh+/utQkImY7Wx\nAXI5IRAIs2xZnLq6MKmUlEgYZrMFVYViRQkR61/dse7C4eXLrQ8OBOScfY36D0WpfjSTew7kcobe\n3lRFWUqXM2UrYXzbV7d2rK/PjvX7Q4TDHuLxFhYujOTrgxcsKNQHB4MeLrqoJd9mt7ExyCWXNHDq\n1DCRiI9w2EdDQxSv10MgUGiqUJjy93LFFS20tITp60tTVxegra0Wr9c7JpNqBeWL7SinWjCT+HyV\n2altd5XZRLEv6e+3HQRzuRxr1y7AGDhypJMvfemDvP/+AJs2/ZQdO+7mjjse5bHHPk0o5CspcQiF\nfM6PywZOnx6hqSnsdATLUlPjZeXKOhoaagiFvCQSI1x8cT0rV9axY8chQPjrv15OJOJz6lVNXm87\nHg8Sj/v50IcWkcnk2Lr1Mnp6hli8uA6PB372s4NkMgX5w127bFtdvz+c/4F/6lThPYsUMrFuFzOw\nAXFDAzQ22iC4pqYQzLo/zN1Sh+LFaKmU3c9dF2A1cs/v86/+Q1GqHw1yK8Qu9uoZVz+6Zk1TxdlK\nd4FFMcX1Xmc+x/j64FQKEon8WaipiVFTYxdchEJMWE9cjlDIy4oV8XHbx9aWlatTrjYqtVPb7iqz\niXK+5OjRBH6/l66uFEeOJEgmR+nuHiKVyvD977/Cd75zCw88sJtUqlCTu23bAa6+eikHD/Zxww1L\nnB+9HjZsWMTg4Cg7dx7JzwZt2XIRzz77Tr5l+NNPv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.FacetGrid(wines, col=\"wine_type\", hue='quality_label', \n", " col_order=['red', 'white'], hue_order=['low', 'medium', 'high'],\n", " aspect=1.2, size=3.5, palette=sns.light_palette('navy', 3))\n", "g.map(plt.scatter, \"volatile acidity\", \"alcohol\", alpha=0.9, \n", " edgecolor='white', linewidth=0.5)\n", "fig = g.fig \n", "fig.subplots_adjust(top=0.8, wspace=0.3)\n", "fig.suptitle('Wine Type - Alcohol - Quality - Acidity', fontsize=14)\n", "l = g.add_legend(title='Wine Quality Class')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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jx9cboPp8vvibwu12m3A4LMYYJkyYULZu3bo169atW1NYWPjliy++uC1xu65d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XaUxeVBQ6M4UMy+ln1889VvkjJT5Hhz+OHnfsiisYswTZMpZVNo6GnAwuL2stsp1AvJ99lVg4r0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\nT/WgdyGdU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.FacetGrid(wines, col=\"wine_type\", hue='quality_label', \n", " col_order=['red', 'white'], hue_order=['low', 'medium', 'high'],\n", " aspect=1.2, size=3.5, palette=sns.light_palette('green', 3))\n", "g.map(plt.scatter, \"volatile acidity\", \"total sulfur dioxide\", alpha=0.9, \n", " edgecolor='white', linewidth=0.5)\n", "fig = g.fig \n", "fig.subplots_adjust(top=0.8, wspace=0.3)\n", "fig.suptitle('Wine Type - Sulfur Dioxide - Acidity - Quality', fontsize=14)\n", "l = g.add_legend(title='Wine Quality Class')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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IiIiISElSMSQiIiIiIiVJxZCIiIiIiJQkFUMiIiIiIlKSVAyJiIiIiEhJUjEkIiIiIiIl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\nzvllCGTslwF3AKcB04GfAy6GbL9xMWSdbD0lOb0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 4))\n", "f.suptitle('Wine Type - Quality - Alcohol Content', fontsize=14)\n", "\n", "sns.boxplot(x=\"quality\", y=\"alcohol\", hue=\"wine_type\",\n", " data=wines, palette={\"red\": \"#FF9999\", \"white\": \"white\"}, ax=ax1)\n", "ax1.set_xlabel(\"Wine Quality\",size = 12,alpha=0.8)\n", "ax1.set_ylabel(\"Wine Alcohol %\",size = 12,alpha=0.8)\n", "\n", "sns.boxplot(x=\"quality_label\", y=\"alcohol\", hue=\"wine_type\",\n", " data=wines, palette={\"red\": \"#FF9999\", \"white\": \"white\"}, ax=ax2)\n", "ax2.set_xlabel(\"Wine Quality Class\",size = 12,alpha=0.8)\n", "ax2.set_ylabel(\"Wine Alcohol %\",size = 12,alpha=0.8)\n", "l = plt.legend(loc='best', title='Wine Type')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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5BEdtUlm4aGpsbExwJMaYZLF582a+853v8Pbbb/Pwww+zaNEiPvjgAyZOnMi9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 4))\n", "f.suptitle('Wine Type - Quality - Acidity', fontsize=14)\n", "\n", "sns.violinplot(x=\"quality\", y=\"volatile acidity\", hue=\"wine_type\", \n", " data=wines, split=True, inner=\"quart\", linewidth=1.3,\n", " palette={\"red\": \"#FF9999\", \"white\": \"white\"}, ax=ax1)\n", "ax1.set_xlabel(\"Wine Quality\",size = 12,alpha=0.8)\n", "ax1.set_ylabel(\"Wine Fixed Acidity\",size = 12,alpha=0.8)\n", "\n", "sns.violinplot(x=\"quality_label\", y=\"volatile acidity\", hue=\"wine_type\", \n", " data=wines, split=True, inner=\"quart\", linewidth=1.3,\n", " palette={\"red\": \"#FF9999\", \"white\": \"white\"}, ax=ax2)\n", "ax2.set_xlabel(\"Wine Quality Class\",size = 12,alpha=0.8)\n", "ax2.set_ylabel(\"Wine Fixed Acidity\",size = 12,alpha=0.8)\n", "l = plt.legend(loc='upper right', title='Wine Type')" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }