{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Lesson preamble\n", "\n", "### Lecture objectives\n", "\n", "- Learn about tidy data.\n", "- Transform data from the long to wide format.\n", "- Understand which types of figures are suitable to create from raw data.\n", "- Learn how to avoid common pitfalls when plotting large data sets.\n", "\n", "### Lecture outline\n", "\n", "- Reshaping with data with `pivot()`, `pivot_table()`, and `melt()` (40 min)\n", "- Visualization tips and tricks\n", " - Choose informative plots for categorical data (35 min)\n", " - Changing plot appearance with `matplotlib` (35 min)\n", " - Avoiding saturated plots (40 min)\n", " - Making plots accessible through suitable color choices (10 min)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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record_idmonthdayyearplot_idspecies_idsexhindfoot_lengthweightgenusspeciestaxaplot_type
0171619772NLM32.0NaNNeotomaalbigulaRodentControl
17281919772NLM31.0NaNNeotomaalbigulaRodentControl
222491319772NLNaNNaNNaNNeotomaalbigulaRodentControl
3266101619772NLNaNNaNNaNNeotomaalbigulaRodentControl
4349111219772NLNaNNaNNaNNeotomaalbigulaRodentControl
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" ], "text/plain": [ " record_id month day year plot_id species_id sex hindfoot_length \\\n", "0 1 7 16 1977 2 NL M 32.0 \n", "1 72 8 19 1977 2 NL M 31.0 \n", "2 224 9 13 1977 2 NL NaN NaN \n", "3 266 10 16 1977 2 NL NaN NaN \n", "4 349 11 12 1977 2 NL NaN NaN \n", "\n", " weight genus species taxa plot_type \n", "0 NaN Neotoma albigula Rodent Control \n", "1 NaN Neotoma albigula Rodent Control \n", "2 NaN Neotoma albigula Rodent Control \n", "3 NaN Neotoma albigula Rodent Control \n", "4 NaN Neotoma albigula Rodent Control " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "#if you don't have the dataset \n", "surveys = pd.read_csv('https://ndownloader.figshare.com/files/2292169')\n", "#if you have already downloaded the dataset\n", "#surveys = pd.read_csv('./surveys.csv')\n", "surveys.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## Reshaping data between long and wide formats\n", "\n", "Data is often presented in a so-called wide format, e.g. with one column per measurement:\n", "\n", "|person|weight|height|age|\n", "|------|------|------|---|\n", "|A|70|170|32|\n", "|B|85|179|28|\n", "\n", "This can be a great way to display data so that it is easily interpretable by humans and is often used for summary statistics (commonly referred to as pivot tables). However, many data analysis functions in `pandas`, `seaborn` and other packages are optimized to work with the tidy data format. Tidy data is a long format where each row is a single observation and each column contains a single variable:\n", "\n", "|person|measure|value|\n", "|------|-----------|-----|\n", "| A| weight| 70|\n", "| A| height| 170|\n", "| A| age| 32|\n", "| B| weight| 85|\n", "| B| height| 179|\n", "| B| age| 28|\n", "\n", "`pandas` enables a wide range of manipulations of the structure of data, including alternating between the long and wide format. The survey data presented here is in a tidy format. To facilitate visual comparisons of the relationships between measurements across variables, it would be beneficial to display this data in the wide format. For example, what is the relationship between mean weights of different species caught at the same plot type?\n", "\n", "### Subset data\n", "\n", "To make facilitate the visualization of the the transformations between wide and tidy data, it is beneficial to create a subset of the data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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record_idspeciesweightplot_type
17415465albigulaNaNRodent Exclosure
17416875albigula212.0Rodent Exclosure
174172346albigula239.0Rodent Exclosure
174183032albigula135.0Rodent Exclosure
174194837albigula185.0Rodent Exclosure
174205024albigula186.0Rodent Exclosure
174215161albigula193.0Rodent Exclosure
174225276albigula194.0Rodent Exclosure
174235400albigula248.0Rodent Exclosure
174245458albigula235.0Rodent Exclosure
\n", "
" ], "text/plain": [ " record_id species weight plot_type\n", "17415 465 albigula NaN Rodent Exclosure\n", "17416 875 albigula 212.0 Rodent Exclosure\n", "17417 2346 albigula 239.0 Rodent Exclosure\n", "17418 3032 albigula 135.0 Rodent Exclosure\n", "17419 4837 albigula 185.0 Rodent Exclosure\n", "17420 5024 albigula 186.0 Rodent Exclosure\n", "17421 5161 albigula 193.0 Rodent Exclosure\n", "17422 5276 albigula 194.0 Rodent Exclosure\n", "17423 5400 albigula 248.0 Rodent Exclosure\n", "17424 5458 albigula 235.0 Rodent Exclosure" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "species_sub = ['albigula', 'flavus', 'merriami']\n", "plot_id_sub = list(range(5, 11))\n", "cols = ['record_id', 'species', 'weight', 'plot_type']\n", "surveys_sub = surveys.loc[(surveys['plot_id'].isin(plot_id_sub)) & (surveys['species'].isin(species_sub)), cols]\n", "surveys_sub.head(10)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Int64Index: 2568 entries, 17415 to 34083\n", "Data columns (total 4 columns):\n", "record_id 2568 non-null int64\n", "species 2568 non-null object\n", "weight 2497 non-null float64\n", "plot_type 2568 non-null object\n", "dtypes: float64(1), int64(1), object(2)\n", "memory usage: 100.3+ KB\n" ] } ], "source": [ "surveys_sub.info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Long to wide with `pivot()` and `pivot_table()`\n", "\n", "A long to wide transformation would be suitable to effectively visualize the relationship between the mean body weights of each species within the different plot types used to trap the animals. The first step in creating this table is to compute the mean weight for each species in each plot type." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesplot_typeweight
0albigulaControl133.857143
1albigulaRodent Exclosure185.342105
2albigulaShort-term Krat Exclosure179.933333
3albigulaSpectab exclosure161.818182
4flavusControl7.056604
5flavusRodent Exclosure8.121951
6flavusShort-term Krat Exclosure7.809524
7flavusSpectab exclosure7.371429
8merriamiControl43.405405
9merriamiRodent Exclosure42.964989
10merriamiShort-term Krat Exclosure42.097674
11merriamiSpectab exclosure43.223270
\n", "
" ], "text/plain": [ " species plot_type weight\n", "0 albigula Control 133.857143\n", "1 albigula Rodent Exclosure 185.342105\n", "2 albigula Short-term Krat Exclosure 179.933333\n", "3 albigula Spectab exclosure 161.818182\n", "4 flavus Control 7.056604\n", "5 flavus Rodent Exclosure 8.121951\n", "6 flavus Short-term Krat Exclosure 7.809524\n", "7 flavus Spectab exclosure 7.371429\n", "8 merriami Control 43.405405\n", "9 merriami Rodent Exclosure 42.964989\n", "10 merriami Short-term Krat Exclosure 42.097674\n", "11 merriami Spectab exclosure 43.223270" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub_gsp = (\n", " surveys_sub\n", " .groupby(['species', 'plot_type'])['weight']\n", " .mean()\n", " .reset_index()\n", ")\n", "surveys_sub_gsp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To remove the repeating information for 'species' and 'plot_type', this table can be pivoted into a wide formatted using the `pivot()` method. The arguments passed to `pivot()` includes the rows (the index), the columns, and which values should populate the table. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesalbigulaflavusmerriami
plot_type
Control133.8571437.05660443.405405
Rodent Exclosure185.3421058.12195142.964989
Short-term Krat Exclosure179.9333337.80952442.097674
Spectab exclosure161.8181827.37142943.223270
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" ], "text/plain": [ "species albigula flavus merriami\n", "plot_type \n", "Control 133.857143 7.056604 43.405405\n", "Rodent Exclosure 185.342105 8.121951 42.964989\n", "Short-term Krat Exclosure 179.933333 7.809524 42.097674\n", "Spectab exclosure 161.818182 7.371429 43.223270" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub_gsp.pivot(index='plot_type', columns='species', values='weight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare how this table is displayed with the table in the previous cell. It is certainly easier to spot differences between the species and plot types in this wide format.\n", "\n", "Since presenting summary statistics in a wide format is such a common operation, `pandas` has a dedicated method, `pivot_table()`, that performs both the data aggregation pivoting." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesalbigulaflavusmerriami
plot_type
Control133.8571437.05660443.405405
Rodent Exclosure185.3421058.12195142.964989
Short-term Krat Exclosure179.9333337.80952442.097674
Spectab exclosure161.8181827.37142943.223270
\n", "
" ], "text/plain": [ "species albigula flavus merriami\n", "plot_type \n", "Control 133.857143 7.056604 43.405405\n", "Rodent Exclosure 185.342105 8.121951 42.964989\n", "Short-term Krat Exclosure 179.933333 7.809524 42.097674\n", "Spectab exclosure 161.818182 7.371429 43.223270" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub.pivot_table(index='plot_type', columns='species', values='weight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although `pivot_table()` is the most convenient way to aggregate *and* pivot data, `pivot()` is still useful to reshape a data frame from wide to long *without* performing aggregation.\n", "\n", "With the data in a wide format, the pairwise correlations between the columns can be computed using `corr()`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesalbigulaflavusmerriami
species
albigula1.0000000.958991-0.680736
flavus0.9589911.000000-0.589786
merriami-0.680736-0.5897861.000000
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" ], "text/plain": [ "species albigula flavus merriami\n", "species \n", "albigula 1.000000 0.958991 -0.680736\n", "flavus 0.958991 1.000000 -0.589786\n", "merriami -0.680736 -0.589786 1.000000" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub_pvt = surveys_sub.pivot_table(index='plot_type', columns='species', values='weight')\n", "surveys_sub_pvt.corr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The columns and rows can be swapped in the call to `pivot_table()`. This is useful both to present the table differently and to perform computations on a different axis (dimension) of the data frame (this result can also be obtained by calling the `transpose()` method of `subveys_sub`)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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plot_typeControlRodent ExclosureShort-term Krat ExclosureSpectab exclosure
species
albigula133.857143185.342105179.933333161.818182
flavus7.0566048.1219517.8095247.371429
merriami43.40540542.96498942.09767443.223270
\n", "
" ], "text/plain": [ "plot_type Control Rodent Exclosure Short-term Krat Exclosure \\\n", "species \n", "albigula 133.857143 185.342105 179.933333 \n", "flavus 7.056604 8.121951 7.809524 \n", "merriami 43.405405 42.964989 42.097674 \n", "\n", "plot_type Spectab exclosure \n", "species \n", "albigula 161.818182 \n", "flavus 7.371429 \n", "merriami 43.223270 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub.pivot_table(index='species', columns='plot_type', values='weight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With `pivot_table()` it is also possible to add the values for all rows and columns, and to change the aggregation function." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesalbigulaflavusmerriamiAll
plot_type
Control134.07.044.044.0
Rodent Exclosure185.58.044.044.0
Short-term Krat Exclosure178.08.043.040.0
Spectab exclosure154.07.044.044.0
All176.57.044.043.0
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" ], "text/plain": [ "species albigula flavus merriami All\n", "plot_type \n", "Control 134.0 7.0 44.0 44.0\n", "Rodent Exclosure 185.5 8.0 44.0 44.0\n", "Short-term Krat Exclosure 178.0 8.0 43.0 40.0\n", "Spectab exclosure 154.0 7.0 44.0 44.0\n", "All 176.5 7.0 44.0 43.0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub.pivot_table(index='plot_type', columns='species', values='weight', margins=True, aggfunc='median')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wide to long with `melt()`\n", "\n", "It is also a common operation to reshape data from the wide to the long format, e.g. when getting the data into the most suitable format for analysis. For this transformation, the `melt()` method can be used to sweep up a set of columns into one key-value pair.\n", "\n", "To prepare the data frame, the `plot_type` index name can be moved to a column name with the `reset_index()` method." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesalbigulaflavusmerriami
plot_type
Control133.8571437.05660443.405405
Rodent Exclosure185.3421058.12195142.964989
Short-term Krat Exclosure179.9333337.80952442.097674
Spectab exclosure161.8181827.37142943.223270
\n", "
" ], "text/plain": [ "species albigula flavus merriami\n", "plot_type \n", "Control 133.857143 7.056604 43.405405\n", "Rodent Exclosure 185.342105 8.121951 42.964989\n", "Short-term Krat Exclosure 179.933333 7.809524 42.097674\n", "Spectab exclosure 161.818182 7.371429 43.223270" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub_pvt" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesplot_typealbigulaflavusmerriami
0Control133.8571437.05660443.405405
1Rodent Exclosure185.3421058.12195142.964989
2Short-term Krat Exclosure179.9333337.80952442.097674
3Spectab exclosure161.8181827.37142943.223270
\n", "
" ], "text/plain": [ "species plot_type albigula flavus merriami\n", "0 Control 133.857143 7.056604 43.405405\n", "1 Rodent Exclosure 185.342105 8.121951 42.964989\n", "2 Short-term Krat Exclosure 179.933333 7.809524 42.097674\n", "3 Spectab exclosure 161.818182 7.371429 43.223270" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub_pvt = surveys_sub_pvt.reset_index()\n", "surveys_sub_pvt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At a minimum, `melt()` only requires the name of the column that should be kept intact. All remaining columns will have their values in the `value` column and their name in the `variable` column (here, our columns already has a name \"species\", so this will be used automatically instead of \"variable\")." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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plot_typespeciesvalue
0Controlalbigula133.857143
1Rodent Exclosurealbigula185.342105
2Short-term Krat Exclosurealbigula179.933333
3Spectab exclosurealbigula161.818182
4Controlflavus7.056604
5Rodent Exclosureflavus8.121951
6Short-term Krat Exclosureflavus7.809524
7Spectab exclosureflavus7.371429
8Controlmerriami43.405405
9Rodent Exclosuremerriami42.964989
10Short-term Krat Exclosuremerriami42.097674
11Spectab exclosuremerriami43.223270
\n", "
" ], "text/plain": [ " plot_type species value\n", "0 Control albigula 133.857143\n", "1 Rodent Exclosure albigula 185.342105\n", "2 Short-term Krat Exclosure albigula 179.933333\n", "3 Spectab exclosure albigula 161.818182\n", "4 Control flavus 7.056604\n", "5 Rodent Exclosure flavus 8.121951\n", "6 Short-term Krat Exclosure flavus 7.809524\n", "7 Spectab exclosure flavus 7.371429\n", "8 Control merriami 43.405405\n", "9 Rodent Exclosure merriami 42.964989\n", "10 Short-term Krat Exclosure merriami 42.097674\n", "11 Spectab exclosure merriami 43.223270" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub_pvt.melt(id_vars='plot_type')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To be more explicit, all the arguments to `melt()` can be specified. This way it is also possible to exclude some columns, e.g. the species 'merriami'." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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plot_typespeciesweight
0Controlalbigula133.857143
1Rodent Exclosurealbigula185.342105
2Short-term Krat Exclosurealbigula179.933333
3Spectab exclosurealbigula161.818182
4Controlflavus7.056604
5Rodent Exclosureflavus8.121951
6Short-term Krat Exclosureflavus7.809524
7Spectab exclosureflavus7.371429
\n", "
" ], "text/plain": [ " plot_type species weight\n", "0 Control albigula 133.857143\n", "1 Rodent Exclosure albigula 185.342105\n", "2 Short-term Krat Exclosure albigula 179.933333\n", "3 Spectab exclosure albigula 161.818182\n", "4 Control flavus 7.056604\n", "5 Rodent Exclosure flavus 8.121951\n", "6 Short-term Krat Exclosure flavus 7.809524\n", "7 Spectab exclosure flavus 7.371429" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surveys_sub_pvt.melt(id_vars='plot_type', value_vars=['albigula', 'flavus'], \n", " var_name='species', value_name='weight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">#### Challenge\n", ">\n", ">1. Make a wide data frame with `year` as columns, `plot_id` as rows, where the values are the number of genera per plot. *Hint* Remember how `nunique()` from last lecture. You will also need to reset the index before pivoting.\n", ">\n", ">2. Now take that data frame, and make it long again, so each row is a unique `plot_id` - `year` combination." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualization tips and tricks\n", "\n", "## Choose informative plots for categorical data\n", "\n", "When visualizing data it is important to explore different plotting options and reflect on which one best conveys the information within the data. In the following code cells, as sample data set is used to illustrate some advantages and disadvantages between categorical plot types. This sample data contains three different species of iris flowers and measurements of their sepals and petals." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_width
species
setosa5.0063.4281.4620.246
versicolor5.9362.7704.2601.326
virginica6.5882.9745.5522.026
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width\n", "species \n", "setosa 5.006 3.428 1.462 0.246\n", "versicolor 5.936 2.770 4.260 1.326\n", "virginica 6.588 2.974 5.552 2.026" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import seaborn as sns\n", "\n", "iris = sns.load_dataset('iris')\n", "iris.groupby('species').mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bar plots\n", "\n", "A common visualization when comparing a groups is to create a barplot of the means of each group and plot them next to each other." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "sns.set_context('notebook', font_scale=1.3)\n", "sns.barplot(x='species', y='sepal_length', data=iris)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Box plots\n", "\n", "Another way of visualizing this comparison would be to supplement a measure of central tendency, such as the mean or median, with additional population statistics. This is what can be seen in the boxplot, as described in the previous lecture." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'')" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Jw+cr1pJ8s70G2EbSpyXtqMTLJB1TsPpqkm+4AETEZuAK4AuSutNtXgg8ANwp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\nmVluTiJmZpabk4iZmeXmJGJmZrn9f6c6mRTQdeKsAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.boxplot(x='species', y='sepal_length', data=iris, width=0.3)\n", "ax.set_ylabel('Sepal Length', fontsize=14)\n", "ax.set_xlabel('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Violin plots\n", "\n", "A violin plot approximates the distribution of the data through a smoothened histogram. The graphics in the middle of the plot represent a boxplot." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LgPULX6JQX+0Qa1vBoOHll19u+QbT2Kuvvmq1JQwIWpPmJAKB4ECrtPDcc8/ZHEzzRJoU5gJPiEh9JWjo+l+xxisA9AU2Rjc8pezz448/8t1339GvjY/D20ZvptNjCnz0yPczY8YMNmzYELXtppOysjJrSos84jbPUcQKrJ5ICxYsYNGiRXZH02SRJoXrgEJgg4isF5F1wIbQfdeFnpMLPBj9EJWyR7jP+Xm96qJSSggTgXN71mGM4fXXX4/ehtPIyy+/TMAfsEoJdrcl7Efw8D2lhWQb5RzRx2mM+QkYCJyN1b7wN+AsYJAxZnXoOe8bY16NVaBKxVNpaSlff/0VPfL9DGwX/fUQhnT00TknwGfTp1NRURH17aeyTZs2MW3aNEy+wXRP0BNue2sRnh9++IHvv0+uOT8jzrHG8qkx5kljzP8zxkw3yZYClYrQu+++SzBoGNPdE9VSQphDYEz3Onx+Px9+qOtUNcWrr75KMBjEHN7E0ctxFi4tvPDCC0lVWog4KYjIsSJyt4j8TUSebHiJZYBKxVtdXR1TpkyhdabhuP2sqhYtJ3TxkpNh+PDDD3V1tght3ryZTz/9FNPK2Dd6OVJtrdLCkiVLWLx4sd3RRCzSEc0Tge+wRiMfBQxqcBkYq+CUssOXX37J7t27OaWwDlcM66uznDC8s4ft27cza9as2O0ohbz55psEAgFM/8QuJYQFD7NKC6+99prNkUQu0q/8eOA2Y8yhxphTjDEjGlxGxjJApeLt448/RoBTusaulBB2Sldr1tQpU6bEfF/Jrrq62vqccuK4iE5LtQdTYJg7dy5r1661O5qIRJoUWgFTYxmIUolg48aNLFmyhAHtfBRkN2X+5Obplhekdys/8+bN1QbnRkydOhWPx0PwkMTscXQgwb7W9+jdd9+1OZLIRPrRvgGcEctAlEoE4YVwhrdgjqOmGt7FSzBo+Pzzz+O2z2RjjNX2giOBRi9HqhDIhs8+/ywpluyMNCmUAH8SkX+KyH+LyO0NL7EMUKl4Mcbw2fTpuJ0wpCB+SeG4Tl6cgq7MdhArVqygpKSEYNc4LrUZLeElO2tqk6LtqCmD13YBxwM3Arc2uNwSm9CUiq/ly5ezqbSUYwo8ZEU6f3AU5GcajmjvZfXq1axbty5+O04iM2fOBEjccQmNCLeBfPnllzZH0rhIB6/1Osild6yDVCoewr/UT+gcv1JCWHifqbL4e7TNnj3bmt+oU2y273a7KSoqwu2OUTGkFZh8w/z58/H5Wj6xYiw1ublGRDqJSBI18yjVOJ/Px4wZX9Aq08RkBHNjBhf4yHJZ1VfBYOwbuJPJtm3bWL9+PaaDicnEd263mwkTJvD6668zYcKEmCUG08ng8XhYvnx5TLYfLZGOU8gQkUdFpBrYRGhmVBF5RERujmF8SsXF7NmzqarayfGdPC1aM6G5Mp1wbEcvW7ZuZeHChfEPIIGtWrUKsKakjoWCggLGjh0LwNixYykoKIjJfmhv/Qm/n0QV6df/Pqx5j34FeBrcPxdrQJtSSW3qVKvH9fDC+FcdhYV7PE2bNs22GBJReN0J0zo2SaG8vLz++E+dOpXy8oMtHtl84fgTvd0o0qRwKXCjMeYD9izHCbAUODTqUSkVRxUVFXz33Xf0yPfTIz9gWxz92vjpnBNg5swvqa6uti2ORFM/fiMnNtv3eDxMnjyZcePGMXnyZDweT+Mvao5Q/Ik+HiXSpFAIFO/nfheRr/OsVEKaMmUKwWCQEV1jdDKIkAicUujB6/Xx6aef2hpLItm5c6d1JTN2+/B4PGzcuDF2CQGsM6WjwftJUJEmhWXASfu5/2KsdZqVSkr+0CylWU5jS6+jfZ1U6MXlgPffe08bnFONAAYkFtPuRlGkv/L/BLwmIt2w2v8vEpH+wDjgzFgFp1SsffPNN5SXl3NqkYfsZpR5A0HY7nEQCJ2/y2ut31nt3MFmNVi3yjQc19HDrJIS5s+fz7Bhw5q+kRRT3xso2SeSDQIGMjNjWOSJgkjHKXyEVSo4Heut3Ye1/ObZxhgdm6+S1ltvvQXA6d2aV22w3eNgwret2eF1ssPrZMK3rZnwbWu2e5rfhWl0d89esaW7+t5AiT9DxMGF4u/YsaO9cTSiKYvsfGqMOdkYk2eMyTHGnAh8JSIDYhifUjGzdOlSli1bxpHtfRTmJk5VTa9WAfq38SXVzJqxVFRUBIBUJ3a1S6NCTQldu3a1N45GtLRHdn9gSTQCUSre3njjDQDO7FFncyQ/N7aHVVoIx5jODjvsMACkIrmTgmyz4h8wILF/R+vIZJWWiouLmTVrFr1b+TmsbeJVVh/VwUdhboDPP/+cLVu22B2Orbp06UJBxwKkXPbuEJ9kpExwOp0cfvjhdodyUJoUVFp64403MMZwVo+6mKzB3FIOgbN61BEIBNK+bUFEOGn4SeAFttodTTPtBqkUhgwZQm5urt3RHJQmBZV2ysvLmT79UzrnBBjSMXEnJzu+s5d2WUE++vBDqqqq7A7HViNHWgs8yvoEzOARkHVW3OH3kcgOmhREZPDBLkBiV44ptR9vvfUWfn+As3rU4Ujgc4zLAWO61VHn8STNql2xMnDgQHr27IljkwNq7Y6miQLgWOcgNzeXESNG2B1NoxorKcwH5oX+7u/yz5hGp1SUVVdX8+GHH9DGHeSEOK6u1lwjunrIzTC8++471NUlXoN4vIgIF154IQRBViVwJt8PKRaog7POOousrCy7w2lUY0mhF9A79PdAF11PQSWNjz/+mNraOkZ3qyMjCSpPs1wwqmsdVVU7037qizPOOIN27dvhWOuAZMmPQXCsdOByubjkkkvsjiYiB/23MMYUR3KJV7Cpzu/3U1lZiTHJubpUovP7/bz99r/JcsLIrolfSgg7vZsHlwPeeuvNtJ76wu12c/mvLgc/yIoolRayITA2gMkymCxDYGyAwNgAZEdn87JWYDece+65dOjQITobjbEk+K2UPm697TbOOeccnn/+ebtDSUlfffUV5eUVnFRYR25G8iTeNm7DLzp5KCnZyJw5c+wOx1bnnHMOXQq7WKWFaEwk6wByQ3/D18O3W8oLjuUOsrKzuOKKK6KwwfjQpJAgvF4vy5YuBWDRokU2R5Oawo21pxXZOxtqc4Sn4Uj3BueMjAxuuvEmq1pmcWKfvmS5gAeuuPwK2rZta3c4EYv7pyoip4rIbBHZJSIVIvKPeMeQiIqL99TCrV27VquQomz16tUsWbKEQe19dEmgKS0i1atVgL6t/cyZM4fS0lK7w7HVySefzNFHH41sFkjUj6IKHKsddCnswkUXXWR3NE0S16QgIqcAbwN/xVqcrgh4Lp4xJKqG67bu2rWLkpISG6NJPR9++CEAp9q8ZkJLjAqVcMLvJV2JCL/97W9xOp04FzkTb/ZUA47vHWDgt+N/G7M1n2Ml3iWFh4GnjDFvG2M8xpg6Y8z3cY4hIS1YYC1L4es8EID58+fbGU5K8Xg8fPbZZ7R1BzmqQ+IOVmvMsI5ecjMM06ZNw+9PtDNhfPXq1YuLL77YGikcrUbnKJH1glQIw4cP5xe/+IXd4TTZAZOCiHwY6SWSHYlILjAMqBOR70NVRzNFZEi03kyyqqurY/acOQTdreqTwjfffGNzVKnj66+/Zvfu3Qzv4mnWGgeJItMJx3fysGPHDubOnWt3OLa76qqr6Ny5M44fHVBpdzQhdeD4wWpcvu222+yOplkO9i+yrQmXSLQN7e/XwFVYS3xOB6aKSJuDvVBEJomIERGTivWpX3/9NXW1tfjb98K48wjkdeT77xem/URo0fLJJ58AMDwJBqs15qRC6z2E31M6y87O5o477rCqaxZY1TV2k8UCXrj+19fTqVMnu8NplgOuNWWMuTrK+wp3IHvRGPMDgIg8DPwOOB6YepBYJgGTAIYMGZIAhz56jDH1PUr8Bf3q/zp3beW9997jxhtvtDO8pLdt2zYWLJhPn1b+pGxg3lfP/ABdcwN8++237Nq1i7y8PLtDstWxxx7Lqaeeyueff46sFkxfG08PZeDY4OCwww7j/PPPty+OFopbYdoYUwWsZ//5PKVO9E2xcOFCli9fjr9tD0xWKwD8HfpgMrJ5//33qa6ORmfs9DVz5kyCQcPxMV5/2e12U1RUFPNGRRFrojyfz6dVjCG33norefl5OJY67FudzQ/OBU6cTid33nknTqfTpkBaLuKkICIjROQZEflERGY0vDRhf/8ArhaRASLiwiol1AH/aWLcKcEYwzPPPAOAr/CoPQ84XPg6D6KmpobXX3/dpuhSw1dffQXAsE6xSwput5sJEybw+uuvM2HChJgnhmND7yX83tJd27ZtueU3t4B/T6+feJNlAjVw6aWX0qdPn/gHEEURJQURuQqYBuQDpwDlWG0Eg4HlB3zhz/0VeAGYAVQAY4AxoVJE2vnyyy9DpYSeBPMK9nrM12kAJjOXt/79b8rKymyKMLlVVVXxww+L6dvaT1t37M4UBQUFjB07FoCxY8fuWVM4RjrnBCnKDTBv3ry0niSvoTFjxuwZu7ApzjvfAY6fHHTt2pUrr7wyzjuPvkhLChOBW4wxlwI+4C5jzNHAa8CuSHdmLPcaYzobY9oYY0YYY9Jy+G5tbS1//8c/QJx4uw/7+ROcLjzdhuDzevn73/8e/wBTwLx58wgGTcy7oZaXlzN1qtUkNnXqVMrLy2O6P4CjC6wqpIULF8Z8X8lARJg4cSIZGRnW2IV49Txu0Mg9ceLEpBuTsD+RJoXewOeh6x4g3Lr1v1g9iVQTvfTSS5Rv3Yq3y6D6toR9BdofQiCvE1999RWzZ8+Oc4TJL3zCHNQ+tmcIj8fD5MmTGTduHJMnT8bjif0AuYHtrHEK4fEtCrp162bNMVQLsjQ+YxdktSA7hNGjR3PMMcfEZZ+xFmlS2IZVdQRW4Wxg6Hp7ojafYPpYvXo1b775Jsadv1dbQtayj8ha9tGeJ4rg6XUCiPDEE09QW5tsq4vYa+nSpbidhh55gZjvy+PxsHHjxrgkBIBDWvtxyN4j4ZVVp9+9e3ccqx2wPcY7qwXHMgd5+XncfPPNMd5Z/ESaFL4BTg9dfwt4UkReBN4APotFYKkqEAjw6KOPEgwG8fQ8Hpx7egWLdzfi3b3X801OO7ydB1FWVsYLL7wQ73CTltfrpbh4PT3yAkk9YO1A3E7omutn9U8/6TxZDWRmZnL77bcDsW90lsUCPrjxhhuTasK7xkT673ILVgIAa6qKx7BKCW8B18UgrpT1zjvvsHLlSvzt+xBo0y2i1/i6DibobsVbb/2blStXxjjC1LBlyxaCQUPnnNiXEuzSOSdIncfDtm2Rjh9ND4MHD+a0005Ddoi1nkEsbAFHiYMBAwZw1llnxWYfNokoKRhjthtjSkPXg8aYR4wx5xhjJhpjEmWAecLbtGkTzzzzLGRk4elxXOQvdLrw9DoRY4L85S9/wedL3vl74qWy0vpatnYn/4C1A2mdab23nTt32hxJ4rnpppvIzsm2xi5Eu0YvCI5FDkSECRMm4HCkVlG0KeMUskTkGhH5a+hyjYhoe0KEgsEgjzzyCF6vh7ruv4CMpn10wdaF+Ar6sXbtWl599dUYRZk6whPGORNrrrSocoXem/5I+LkOHTpwzdXXgDc0hiCKZI0gO4Wzzz6bfv36RXXbiSDScQqDgbXA41iT2g3DGnOwNvSYasTbb7/NokWL8LftQaB985a19nY/FpOZyyuvvKLVSI0IL5Be50/drFAbsN5bMiwGb4cLLriAbt26Wau0Ras+w2M1Lufm5XLddalZcx5pSeEZYBZQZIw5yRhzEtAN+Dr0mDqINWvW8PTTT1vVRqHeRM3iyqSu90kEg0Huf+ABamrsGtOf+Lp06QLAltrUKto3tKXGem+dO3e2OZLElJGRwa233mqNJVgcnUZnWWY1Ll9z9TW0aXPQeTyTVqT/MYcDk4wx9V1jQtfvDz2mDqCmpob77rsPn89HXa/hkJHTou0FW3fF13kgG0tKeOKJJ7TnyQG0bt2aTp068lNVBsEU/Ih8QVhbnUGvXj1TYsBUrBx33HEMGzYM2SrQ0okBdoJjrYOibkVJPeFdYyJNCiuxprreVxdgVfTCSS3GGP5xHK+SAAAgAElEQVTyl7+wYcMGfJ0HEmjbIyrb9XYbSiC3gOnTp/Pee+9FZZupRkQYNuxYdvmE5dsPOBlw0lpUkYE3AMOGHWt3KAnv5ptvRkRw/NCy0oJjifX6m268CZcr9b5TYZEmhT9gjU34LxHpGbr8F/A34B4RaRe+xC7U5PPCCy8wc+ZMAvmd8Xbbz1QWzeVw4uk7CjKyefLJJ3XBlQM444wzAPi0JPV+SU8Pvafwe1QH1rt3b8444wxkpyDFzay63QZSKgwaNIgTTzwxugEmmEiTwkdAf+B1YE3o8jowAPgAa4K8itBfBXz00Ue8/PLLGHc+dX1HQZS7rRl3HrV9RxFE+MMf/8iPP/4Y1e2ngoEDBzJo0CAWVmSyqjJ5pzLe1w/bXKzYkcGxxx6b9DNyxss111yDy+XCsdwB++ulnM1B52ZwLLX+f6+//nqkuW2CSSLSM9WIBpeRocv+bo+MQYxJ54svvuCvf/0rZGRR2++MJnc/jVQwvzN1vU+hrraWOyZOZP369THZT7ISkfpFil5YkYsvBYYs1AXgpZW5OBwOrr/+ervDSRqdOnXinHPOsdZ03k9pITgySHDkAb4g5SBbhaFDh3LkkUfGOFL7RTp47atIL7EOONHNnDmTBx54AOPIoLbfGZjs1jHdX6B9Lzy9TmRnVRXjx4+nuLg4pvtLNoMGDeLcc89l424nb/yU/MNqXl6Zw9ZaB5dccgl9+/a1O5ykctlll1mlhZUHKC0cgGOFdZq8+upoL0aZmJoyeG2QiPyviEwTkS6h+84TkaNjF15y+fzzz5k0aRJBcVLbbzTB3A5x2a+/Y388PY5nx44d3HrbbaxduzYu+00Wv/nNb+jVsyfTS7L4ujQzqttu5w4y+YQq2mYGaJsZYPIJVUw+oYp2MRhJ/VmJm282u+nfv3/K9pGPpYKCAs4880zYBbIxwiqgHSBbhMGDBzNw4MDGn58CIh28djowD+iKVUUU/snVB7gvNqEllylTpvDAAw8QFBe1/cYQzI/vot3+zgPw9DyeylBi0DaGPbKysnjgwQfJy8vl+RW5Ue2N5HRAQXYQp2PP9fDtaFpYnsErq3Jo26YN999/PxkZGdHdQZq45JJLEBFklUTUE0lWWclj3LhxMY4scUT61X0AuN0Ycz7QcF3DmVijm9PaW2+9xSOPPIJxZlJ72FiC+R1ticPfaQCeXsOp3rmT8ePHs2hRWq5ftF/du3fnwQcfwuF08cTifNZUJU/D88odLp5ckkdmRiZ/fvhhHazWAkVFRZx44onIDml8au1aa9K7nj17MnTo0LjElwiaMnht6n7u3w6kbTdUYwzPPfcc//u//4vJzKHmsLPiVmV0IP6O/ag7ZCQ1tXXcMXEi//lPWi5/vV+DBw/mj/feizcoPLoon/U7Ez8xrKp08tdF+QTFyYMPPcThh+tY0ZYKDzyTNQevQpL1Vmni/PPPT/keRw1FmhR2YFUd7WswsDF64SSPQCDA448/ziuvvILJakXtYWdjchJjTvVA+97UHXoaPn+Qu+++m2nTptkdUsI45ZRTuOvuu6nxO/jLwnyKqxM3MfxU6eSxRa3wGgeTJk3i2GN1oFo0DB48mK5du+LY6Djwsp0GHOsduN1uTj/99AM8KTVFmhReBx4TkSKsmjiXiJyMNSneK7EKLlHV1dXxxz/+kQ8//JBgTntqDzsLk5Xf+AvjKNCmG7X9xxB0ZPDwww/z6quv6pQYIaNHj+b3v/89u/0O/vx9PusSsMSwqtLJo4ta4Qk6uO+++zj55JPtDillOBwORo8eDQGQTQcoAWwDdsFJJ51Ebm5uXOOzW1NGNK8DirHWZ14OzMCaJO+h2ISWmCoqKrjtttuYNWsWgVaF1B52JiazZfMZxUowvxM1A87CZObx7LPP8uijj+o0yyFjxozh97//PTV+Bw8vTKzE8GMoIXiNk0mTJjFixAi7Q0o5p556KnDgXkjh+8PPSyeRjlPwGWMuA/oCFwPjgP7GmMuNMam7tNU+li9fzvU33MDKlSvxdehLXb/R4IpuF8doM9ltqT38bIK57ZkyZQq3334727fHevHa5DBmzBjuvvtu6hIoMayqdPLYwlb4QgnhlFNOsTuklFRUVESfPn2QLQL+fR404Ch1kJOTwzHHHGNLfHZqUsc5Y8xaY8zbwLvA5tiElHiMMbz33nvccsstVJSX4+02FG/vk8Bh/0kkEiYzl9rDzsLfrheLFy/m2muv1Z5JIaNHj+auu++m1u/gkYX5lOyyb6rttTv3bkPQKqPYOv74461BbFv3eWAXsBuGDRtGZmZi/+iLhYP+B4jIKBG5eJ/7fo/1sVWKyCcikpqTiofs2LGDe+65h8mTJ+PHRV2/M/AVHtn8NRHs4szAc8hIvN2Gsm37dsaP/y3PPfecVidhJYb//u//ZpdPeGRhK7basAbDpt0OHl2Yjycg3HvvvZoQ4iDczVS27P2/HL6dTt1QG2rs2/97oCh8Q0SGAX8GXgXuBI4E7olZdDYyxvDFF19wxRVXWu0H+V2oGXg+gTZFjb84UYngKzyS2sPOJJiZwyuvvMINN9ygA92AsWPHctttt1HpER5dmE+1N35Jf0don7t8wu/uvJORI3UKsXg47LDDcLlcyLZ9jvU2689RRx0V/6ASQGNJYRDQcD6ji4D/GGN+bYx5ArgNOCdWwdmlpKSEO++8kz/96U9UVe/C0/1Y6g4bi3GnRi+EYH5nagZegK/gUFavXs3119/Ak08+ya5du+wOzVa//OUvGTduHGU1Dp5ckos/DhPoeQPwt8V5bKtzcN1111nTMKi4cLvdHHrooUilQIOWUdkm5OfnU1SUxD8AW6CxpNCGvWvcTgA+aXA7PPVFSti9ezf/93//x5VXXsmcOXMItOpKzaAL8HcZFNvqIhNEPNVggvXX62/HiisTb++TqO0/hoA7j7fffptx48bx8ccfEwikTd+Bn7n++usZPnw4K3Zk8K/VsZ9A75Ufc1iz08Xo0aO5/PLLY74/tbe+fftanex3hu7wgewWK1kkWxVxlDSWFDZjzW+EiLiBo4HvGjyeD3hiE1r8+P1+3n//fS699FLeeOMNfI4s6g4ZSV3/MzBZrWK+f/HuJmfRmzh8NTh8NeQsepOcRW8i3t2Nv7iFgq27UjvoQrxFx1C5cxePPvoo1153Xdou3ONwOLjnnnvo3q0bn2zIYmFF7FbYml2WwcxSN3379mXixIlpexKyU+/evQGQnaHPfufe96ejxpLCNOBRERkJPALsBr5p8PgRwOoYxRZzxhi++eYbrrzySp544gkqq3fjLTqGmiN/SaB97+RrTG4uhxNf16OpOfIifB36snbNGiZOnMjEiRNZs2aN3dHFXU5ODn+6/34yXC6eX5HHbl/0vwdVHuGlH3PJcruZNGmSrrNsk/oqolDNqeySve9PQ439DLoXq/vp51gf25XGmIYT4l0DfBaj2GJqxYoV/P3vf+eHH36wGmA79sdbNBgyEnMgWjyYzFy8fU7G33kgmRvmMHfuXObNm8eYMWO49tprKSgosDvEuOnTpw9XXnUVzz33HP9ek8VV/Wujuv03fspml08YP/5GunXrFtVtq8gVFoaWng8XykN/u3TpYks8ieCgScEYUwGcJCKtgV37Gah2EfU5Njls27aNp59+mk8+sZpG/G264+0+DJOd0j1rmySY2566w8birNxIZskcpk6dyowZM7j88su55JJL0qbv9qWXXsr0Tz/li40ljCry0C0vOm08a6qczCqzGjnPO++8qGxTNU+HDtYEllIrGAzUWfen0w+gfUU6orlqfyOXjTHb9yk5JCxjDB999BG/+tWv+OSTTwjmtKP2sLF4+p2uCeEAAm2KqB14Pp5eJ1IbgGeffZarr77aKl2lgYyMDH5zyy0YA2+viV6j81uhbd1yyy04nckxADJVud1u8vLy6pOB1FnVR+3bt7cxKnvZN3wzjqqqqrjrrrt47LHH2F3nw9PjeGoHnkewVaHdoSU+ceDv2J+aIy7G12kAJSUl3HrrrTz77LNp0UvpuOOOY8CAASwoz4zKaOfVVU6Wbc9gyJAhadsPPtG0bt0aCY9LCXWbycvLsy8gm6V8UigtLeXGm27iP//5D4FWhdQccSH+zgNAUv6tR5crE2/P46kdcDbBzDxeffVV/vCHP+DxJH3ns4MSkfquotOKs1q8vamhbWj308SRn5+/Zwptn9XRwOWKXa+zRBe3M6OIvCQiPhHZ1eBycyz3WVVVxR133MGmjRvxdjmCuv5jMJmpMQDNLsH8TtQMPI9Aq0K+/fZbHnrooZSfkvsXv/gFXbt25bst7haNdN5eJ8wvz+SQQw7RUkICyc7OtgavBQG/lRTSWbx/Lr9sjMlrcPlHLHf2zDPPsGnTJrxdjsTXfVj6dDGNNZebun6jCeR3ZubMmcyYMcPuiGLK4XBw3nnn4QvCt2XNb2T/qtRNMA1X8kp02dmh9qIASED23E5TKVuH4vP5+PTTTwm68/F1S47pb91uN0VFRcnRZ93hxNP7JAA+/vhjm4OJvdGjR+NyOfmqNJPmFIyCBr4udZOVlcWoUaOiH6Bqtvr/t4B1SYr/vxiKd1K4UES2i8gqEXlMRGLWmrN9+3a8Xi/B3IKkaD9wu91MmDCB119/nQkTJiTFF9NktcJkZLN5c+rPot6mTRtOOOFESna5WN+MJTxX7nBRXudgxIgRaV89kWgyMjKsK6GkkC5drg8knmfL/wH6Ax2A84GTgWcjeaGITBIRIyKmtLQ0op21a9eOrKwsnLu3QjAOM5u1UEFBAWPHjgWsGTuToZ+01FYhvto9A4BS3BlnnAHAN5ubftIIv2bMmDFRjUm1XH1SCFqX+ttpKm5JwRizwBizxRgTNMYsAyYAvwzNqdTYaycZY8QYI5GegDIyMhgzZgzi2UXGpgUtjD72ysvLmTp1KgBTp06lvLzc5ogaEQzgXmfNeHLOOSk3Ue5+HXvssbRt04bvytxNmkG1LgDztmbSuXNnjjjiiNgFqJqlPgn497mdpuysVwn/W8Wsxe3Xv/41nbt0IbN0MRmlP9CsyuA48Xg8TJ48mXHjxjF58uTE7uoZ9ONePQNndRknn3xy2iwI43K5OPW006j2CYsrIj9xzN+aSV1AGD16NA5H4ldlppu9qo8grbujQny7pP5XeJU2EekLPA58aIypi9U+8/LyeOLxx2nfvj2ZJXPJXP8tBPddkDVxeDweNm7cmNAJQTy7yVoxFdeOYo466ijuueeetOpJE65C+roJVUjhqqPRo0fHJCbVMvVJQEsKQHxLCjcCa0VkNzAdmA1cHeudFhUV8dRTT9GnTx8ytq4ke9lHSM2OWO82JTm3F5Oz7D2cu7Zy6qmn8thjj5GV1fIBXcmkb9++HHJIHxZVZLKzwZiFdm5DO/fPS6IVtQ6Wb89g0KBBaT3zZiKrTwKhAWxaUogTY8wpxph2xphcY0wvY8ztxpidjb+y5Tp16sRTTz3F2WefjaNmGznL3iejdHFsF7FJJf46Mtd8RdZPn5FBgN/+9rf88Y9/TIoeUrFwxhljCBj4tkFp4d6h1dw7tPpnz/16cyYG6jsRqMQTTgrit5K89j5KE263m9/97nc89NBDtGmVT2bJPLKWfYhjd4XdoSUuY3BuW0vOD++QUfEThx7aj+eff54LLrggraqM9nX66afjcjn5erP7oM1UQQPfhMYmjBgxIn4BqiapTwK+fW6nqbRJCmHDhw/ntddeY/To0Th3V5C97AMyNsyBgK/xF6cR8ezCvWo6WatnkCkBbrjhBp566v/o2bOn3aHZrk2bNpx44nBKdjlZu/PAYxZW6NiEpFCfBELzPWubQhpq1aoV99xzD48//jhdOnchc/MScpa8i7Nyo92h2c8EcZUtJWfJO7gqSzj66KN5+aWXuOyyy9K+rrWh8HiDgzU4f11qPXbmmWfGJSbVPPXVoN59bqeptEwKYUOHDuXll19i3LhxOH27yfrxEzLXfAX+xO39E0tSW0nW8o9xF88mPyeLu+66i7/97W/aQLofQ4cOpX37dsze4sa3n6apWj/ML3fTtWtXBg0aFP8AVcQ0KewtrZMCQFZWFjfeeCPPPvssffv2JaPiJ3KWvIOzssTu0OLHBHFt/oGcpVbPopEjR/Laa69Zg//SuO3gYFwuF6eddjq7fcKi/YxZmLc1E0/A6oaqn2FiC/egCy+woxPiKcDqavj0009z3XXX4Qp6yfrxUzLXxWdcg8nMpeaoSwhm5BDMyKHmqEuoOeqSuEzzLZ5dZK2YinvDXNq0yuehhx5i0qRJtG3bNub7TnannXYaAP/Zz8yp4fvCz1GJqz4JhCoI0q2b9b40KTTgcrm44oorePaZZ+jZsycZW1eQvfQDpLYytjsWB8adb03cF7pefzuGnDuKrdJBdRnDhw/nlVdeYfjw4THdZyo55JBD6N69O4sqMqlr8Nuh2iss35HBYYcdRteuXe0LUEWkPimEhtGme6cATQr7ccghh/Dss89y3nnn4ajdQc6yD3BuX2d3WNFjgmSUzCNr1WdkOAwTJ07kwQcfpE0bXau6KUSEESNG4AvCD9v2VCF9X5FB0JA2038ku3ASCC/JqdVHar/cbje333479913H1kZTrJ++oKMjQsSev6kiAS8uFd9RmbpYgoLC3nm6ac555xztN67mU444QTASgRhC8ut61rqSg77lgy0pKAOatSoUTz11FPWxHqbFuJe8xUEk3PBevHuJnv5x7gqSxg6dCjPPvssffr0sTuspHbooYfStm1blmzLwBgIBGHZjgwKC7vQrVs3u8NTEdCksDdNChHo3bs3zzz9NAMGDMC1bTXuVZ8l3WA3qasie/lHOGq2c+655/LII49YC5arFnE4HBxzzDFUeR2U1jhYV+2k1i8MGTLU7tBUhPatLsrNTe913DUpRKhNmzb87W9/4/jjj8dVtZGsHz8Bv9fusCIiNTvIXj4F8ezi2muv5fbbb9eBaFF05JFHArCq0sWqStde96nE53K59hqboCUFFbGsrCwefPBBRo4cibN6S1IkBqnZTs7KKYivhvHjx3PllVdq+0GUHX744QCsqXKxZqdrr/tUcmiYCLSkoJrE5XLxxz/+kdNPPx3nrq1WYkjQqiSp3UHOymngq+OOO+7gwgsvtDuklNSzZ08yMjIornZSXO0kLy+PLl262B2WaoKGSUHHKagmczqd3HXXXZx66qmhxDAdAom1eI/UVZG9chr4arn99ts599xz7Q4pZblcLnr06EHxLidbapz07t1bS2NJJpwUsrOz0351vPR+9y3gdDq5++67Ofnkk3FWb8b90+cJ0ytJPLvIXjkN8dZwyy23cN5559kdUsrr1q0bQSMYoHv37naHo5oonBTSvZQAmhRaxOVyce+993LcccfhqtqIe/UMCNq7cI94a8haORXx7OLXv/41F198sa3xpIvCwsL661p1lHzCPZC0hKdJocUyMjJ44IEHGDx4MK4dxbjXzLRvRTdfLVkrp+Ko28nll1/O5Zdfbk8caaigoKD+eseOHW2MRDVHOCmke9URaFKICrfbzcMPP8ygQYNwbV9rDXCLd2Lw1ZK9YiqO2kouvvhirrvuuvjuP821b99+v9dVcghXG5lkn7EgCjQpREl2djaPPvpoaIDbmvgmhvqEsIMLLriA3/zmN1oMjrO+ffuSk5NNfn4evXr1sjsc1UROp7WCnv7faFKIqtzcXB5//HEOP/xwKzGs/jLmjc/i3U32iin1CWH8+PH6xbZBYWEhU6ZM5cMPP9KSQhIKlxCCNrcJJgJNClEWTgxHHnkkru3rQr2SYtNdVTzVoYRgVRlpQrCX0+ms/8WpkpP+/2hSiImcnBwee+wxhg4diquyhKwfP4VAdEc+S20l2cs/Rup2cuWVV2qVkVItoP87e2hSiJGsrCwefvhhhg8fjnPnZrJWWCOLo8Gxu4KcFR8j3t3cdNNNXHvttfqlVqoFwnOB5eXl2RyJ/TQpxFBmZiZ/+tOfGDNmDM7d5WSvmIJ4aw74fJOZ2+gSnI7qMrJXTEX8Hn73u99x6aWXRjtspdLOWWedxYABA7j55pvtDsV2kmxdsIYMGWLmz59vdxhNEgwG+Z//+R/eeecdglmtqOs/FuNu+i8SR1Up2aum4xTDH/7wB0aNGhWDaJVSqUhEFhhjhjT2PC0pxIHD4eC2227jsssuw1G3k+yVUxHP7qZto6qU7FWf4nLAAw88oAlBKRUTmhTiRES4/vrrramr63aStXIq+Gojeq2jegvZq6bjcgh//vOfOfHEE2McrVIqXWlSiCMR4ZprruHSSy/FUVcVml314NNuS20l2aum4yDI/fffz3HHHRenaJVS6UiTQpyJCDfeeGN947N77TdwoHYdv4esVdPB7+HOO+/UEoJSKuY0KdhARJg4cWL9XEmurSt+/iRjcK+bhaNuJ+PGjWPs2LHxD1QplXY0KdgkIyODSZMm0apVK9wb5iJ1O/d63Ll9La7t6zjiiCN0cjulVNxoUrBRQUEB48ePh6CfzA1z9jwQ8OHeMIeMzEzuuuuu+oE1SikVa5oUbHbqqacycOBAXDuKceyuAMC1dSXireG/LrmErl272hyhUiqd2JIURMQhIv8RESMiRXbEkChEhKuuugoAV9kyMIbMLctwu91ccskl9ganlEo7dpUUJgAHnu8hzQwZMoQuhYVkbF+Hs2oj4tnFqFGjaNWqld2hKaXSTNyTgogcCtwMTIz3vhOVw+HglJNPDrUtzAVgxIgRNkellEpHcU0KIuIAXgB+B1Q24XWTQlVNprS0NGbx2WnIEGtKEkftDpxOJ0ceeaTNESml0lG8SwrjgTJjzLtNeZExZpIxRowxUlhYGKPQ7NW/f//667169apfM1YppeIpbn0dReQQ4A6g0Vn60lF+fj4XXnghy5Yt4/zzz7c7HKVUmopnB/gTgQJgaWhBmHAp5QcR+YMx5h9xjCUhjR8/3u4QlFJpLp5J4S3g8wa3i4DvgNOBlXGMQyml1AHELSkYY2po0A1VRML7LjPG7IpXHEoppQ7MtvkTjDHrAV1YWCmlEohOc6GUUqqeJgWllFL1NCkopZSqp0lBKaVUPTEHWgoyQYlIOVBsdxwxVAik5lweqU+PXXJL9ePXwxhT0NiTki4ppDoRMcYY7ZWVhPTYJTc9fhatPlJKKVVPk4JSSql6mhQSz5/sDkA1mx675KbHD21TUEop1YCWFJRSStXTpKCUUqqeJgWllFL1NCkopZSqp0lBKaVUPU0KSiml6mlSUKoFRGSaiNwZpW2tF5FfRWNb6UJEdonIL1q4jadE5H9j9fxko+MUbCIi64E/GGNeszsWlRj0O6ESgZYUlDoAsdi2ZG1TiEiG3TEkGv1MmkeTQguJyG0isk5EqkVkk4j8OXR/dxF5W0Q2hy7PiEh+6LGPgO7Ac6Hi7/TQ/Tki8v9EpEREKkTkfRHp3mBf/yUiK0L72iIiLzV47M8isja0vTUi8tu4fhAJQkRuEZGF+9zXS0QCItLzYMcl9FwjIuNFZD5QAwwRkVNFZKGI7Awdl88bPH+miPyhwe2eIvLv0LYrReRbEWkfeqyHiHwQ2kaJiPxNRLIP8l5OFpE5IlIlIitF5IYGj50iIn4RuVxE1gLbo/IBJpgIjqcRkRND918lIqtF5HcishFYFLr/UBH5KnT8FoeOr2mwvZdE5LkGt42I3Cwi80L/a7NFpP9Bnl8gIs+LyIbQPhaISL/QY+NDx6469PjDIuKM2QcWDcYYvTTzAhyKdeI4PHS7DXAckAWsBu4HsoG2wFTghQavXQ/8ap/tPQ3MAboCucBzwGLACeQAPmBk6Lm5wPAGr/0V1nzwAowEaoHRdn9GNhyTtkAdcFSD+/4EfBHhcTHAD0Cf0Ofuxppj/+rQZ+sGRjR4/kysKh9Cx2gt8HegNeACfgHkh64vDR3j3NAxngf8fX/fCaBX6BheHXrtcVgn/otCj58SivX10L5y7P7s4308GxyvE0PXrwL8wOTQ8c0JfXY/Ak+G7usdOg6mwfZeAp7b5zswF+uHmxv4N/DZ/p6P9cP6P8A7QKfQ7SOAwtDjF4aOpQBHA1uAG+z+XA/6mdsdQDJfQl+wWuBiIK/B/b8E1uzz3GMAD+AM3a4/ATT4ctUCpzW4Lw/whk4sOVgJ6GagXQSxvQ08avdnZNNxeRP4f6HrEvqsL4vwuBjgin2esx54EOi8n33NZE9SuBjYDLj287zjQ/vJbXDf6NAxlwb7CSeFu4Fv99nGw8CnoeunhGLtbvfnbdfxbHC8GiaFWsDd4LUnhj737Ab3XUvjSeGiBrfPBHbs7/nAMKwfa60jfC9/Bd6y+zM92EWrj1rAGLMW62Tza6BURGaJyOlYvwy6h6oPKkWkEuuXqgE6H2BzBVi/ZNc22P4uYCvQzRhTA4wFzgDWhIqo48LPDVVjLRGRHaH9nR3aZjp6EbhMRDKxSk1tgHeJ/Lis32d75wJ9gSUisvwgVXM9gbXGGP9+HusGbDXG7G5w3xqsY76/49SNBt+FBs/v1uB2ECg5QCyp5EDHc382G2M8DW53xfrcaxvcF8nKjZsbXN+NVdrbn56h7Vft70ERuTRUDbVNRKqA35Dg/5dJ0YiWyIwx7wLvhr6wNwIfADcAq4wxhx/kpcF9bpdj/aLphfXPj4jkAR0J/eMbY2YCM0N1kucA74jIHKwT2iPAKGCOMSYgIm9j/apKR9OxqhzOAs4H/mWMqRWRYho/LrDPsTHGLAYuERHB+uU5XUR+MMbM2Od164FeIuI0xgT2eawE6CgiOaEED1ZJsw6o2E8MJVg/Ahrqzd5JwJjQz88Ut9/jeYDn7vt/tQkoEJHsBq/pTvSsxzqurYwxOxs+ICLdgNeAC4BpxhiviPwVGBLF/UedlhRaQET6icgZIhKu76/C+sUDx4kAAAIRSURBVNX5NpAhIneLSL5YuorI+Q1eXob16xMAY0wQeAV4QEQKQ9t8HFgJzBWRTiJyoYi0Dp1wKkMvDQCtQn/LASMiZwJjYvrmE1iDz/I2rH/IF0IPfUzjx2UvIpIpIleKSIfQCXgH1olnf6WBKVjVfZNFpLWIOEXkOLEasuditWc8LlaHgkLgAeDFULz7egM4RkSuEBGXiAzD+rHxfDM+kqR2kOMZidnABuBhEckSkV5ANDthzAcWYHUa6SgiDhEZJCJdsKp/HVj/lz4ROQ64PIr7jglNCi2TCdyHVdSsxPrSXhj6JTgKGIB1Uq/CqqY4qsFrHwR+FarumRa6bwLWl2we1he5C3BOKAk4sIqe60WkGqsx80pjzHrgU+BVrBNPBVbd+Xsxes/J4kXgZGCdMWYuQITHZX8uAVaKyC7gQ+A+Y8zX+z4pVDU0EquK5ydgG/AYkBGqUjoLKMI6tnOxOhVM3N8OjTHrsEoKt4S28ypwrzHmrQjff6r52fGMROhzPwcYjHVyfh/rs/RGI6hQwjoHqy1jEdZ54EUg3xizAuv88EHo/t9jJfuEpoPXlFJpRayuvXcYYw61O5ZEpCUFpVRKE5ETRKRPqLrwCOBOkuAXu120oVkpleq6YyWBDlhVSP/G6t6r9kOrj5RSStXT6iOllFL1NCkopZSqp0lBKaVUPU0KSiml6mlSUEopVe//A/nl7qUhRXBAAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.violinplot(x='species', y='sepal_length', data=iris)\n", "ax.set_ylabel('Sepal Length', fontsize=14)\n", "ax.set_xlabel('')\n", "# ax.set_xticklabels(fontsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Swarm plots\n", "\n", "Swarm plots draws every single observation and stacks like a histogram. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.swarmplot(x='species', y='sepal_length', data=iris)\n", "ax.set_ylabel('Sepal Length', fontsize=14)\n", "ax.set_xlabel('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">#### Challenge\n", ">\n", ">Out of the these plots, which one do you think is the most\n", ">informative and why? Which is the most true to the underlying data and how\n", ">would you know this?\n", "\n", "### Pros and cons of different graph types\n", "\n", "We will deepen the discussion around some of these ideas, in the context of the\n", "following plot:\n", "\n", "![*Reproduced with permission from [Dr. Koyama's poster](http://biostat.mc.vanderbilt.edu/wiki/pub/Main/TatsukiKoyama/Poster3.pdf)*](./img/dynamite-bars.png)\n", "\n", "*Reproduced with permission from [Dr. Koyama's poster](http://biostat.mc.vanderbilt.edu/wiki/pub/Main/TatsukiKoyama/Poster3.pdf)*\n", "\n", "It is generally advisable to avoid \"decorative\" plot elements that do not convey extra information about the data, *especially* when such elements hide the real data. An early champion of this idea was Edward Tufte, who details how to reduce so called non-data ink and many other things in his book [The visual display of quantitative information](https://www.edwardtufte.com/tufte/books_vdqi). In the bar chart above, the only relevant information is given by the where the rectangles of the bars ends on the y-axis, the rest of it is unnecessary. Instead of using the rectangle's height, a simpler marker (circle, square, etc) could have been used to indicate the height on the y-axis. Note that the body of the rectangle is not representative for where the data lies, there are probably no data points close to 0, and several above the rectangle." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Barplots are especially misleading when used as data summaries, as in the\n", "example above. In a summary plot, only two distribution parameters (a measure of\n", "central tendency, e.g. the mean, and error, e.g. the standard deviation or a\n", "confidence interval) are displayed, instead of showing all the individual data\n", "points. This can be highly misleading, since different underlying distributions\n", "can give rise to the same summary plot. We also have no idea of how many observations there are in each group. These\n", "shortcomings become evident when comparing the barplot to the underlying\n", "distributions that were used to create them:\n", "\n", "![*Reproduced with permission from [Dr. Koyama's poster*](http://biostat.mc.vanderbilt.edu/wiki/pub/Main/TatsukiKoyama/Poster3.pdf)](./img/dynamite-vs-dists.png)\n", "\n", "*Reproduced with permission from [Dr. Koyama's poster](http://biostat.mc.vanderbilt.edu/wiki/pub/Main/TatsukiKoyama/Poster3.pdf)*\n", "\n", "Immediately, you can see that conclusions drawn from the barplot, such that A\n", "and B have the same outcome, are factually incorrect. The distribution in D is\n", "bimodal, so representing that with a mean would be like observing black and\n", "white birds and conclude that the average bird color is grey, it's nonsensical.\n", "If we would have planned our follow up experiments based on the barplot alone,\n", "we would have been setting ourselves up for failure! Always be sceptical when\n", "you see a barplot in a published paper, and think of how the underlying\n", "distribution might look (note that barplots are more acceptable when used to\n", "represents counts, proportion or percentages, where there is only one data point\n", "per group in the data set).\n", "\n", "Boxplots and violin plots are more meaningful data summaries as they represent more than just two distribution parameters (such as mean +/- sd). However, these can still be misleading and it is often the most appropriate to show each individual observation with a dot/hive/swarm plot, possibly combined with a superimposed summary plot or a marker for the mean or median *if* this additional information is useful. One exception, when it is not advisable to show all data points, is when the data set is gigantic and plotting each individual observation would oversaturate the chart. In that case, plot summary statistics or a 2D histogram (more on this later).\n", "\n", "Here is an example of how a violinplot can be combined together with the individual observations in `seaborn`." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.violinplot(x='species', y='sepal_length', data=iris, color='lightgrey', inner=None)\n", "ax = sns.swarmplot(x='species', y='sepal_length', data=iris) \n", "ax.set_ylabel('Sepal Length', fontsize=14)\n", "ax.set_xlabel('')\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">#### Challenge\n", ">\n", ">1. So far, we've looked at the distribution of sepal length within species. Try making a new plot to explore the distribution of another variable within each species.\n", ">2. Combine a `stripplot()` with a `boxplot()`. Set the `jitter` parameter to distribute the dots so that they are not all on one line." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing plot appearance with `matplotlib`\n", "\n", "The knowledge of how to make an appealing and informative visualization can be put into practice by working directly with `matplotlib`, and styling different elements of the plot. The high-level figures created by `seaborn` can also be configured via the `matplotlib` parameters, so learning more about them will be very useful.\n", "\n", "As demonstrated previously with `seaborn.FacetGrid`, one way of creating a line plot in matplotlib is by using `plt.plot()`. To facilitate the understanding of these concepts, the initial examples will not include data frames, but instead have simple lists holding just a few data points. This is how a line plot can be created with `matplotlib`." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "x = [1, 2, 3, 4]\n", "y = [1, 2, 4, 3]\n", "plt.plot(x ,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, this way of plotting is not very explicit, since some things happen under the hood that we can't control, e.g. a figure is automatically created and it is assumed that the plot should go into the currently active region of this figure. This gives little control over exactly where to place the plots within a figure and how to make modifications the plot after creating it, e.g. adding a title or label the axis. For these operations, it is easier to use the object oriented plotting interface, where an empty figure and is created initially. This figure and its axes are assigned to variable names which are then explicitly used for plotting. In m`matplotlib`, an axes refers to what you would often call a subplot colloquially and it is named \"axes\" because it consists of an x-axis and a y-axis by default. By default an empty figure is created." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plots can then be added to the axes of the figure." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To create a scatter plot, use `ax.scatter()` instead of `ax.plot()`." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plots can also be combined together in the same axes. The line style and marker color can be changed to facilitate viewing the elements in th combined plot." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(x, y, color='red')\n", "ax.plot(x, y, linestyle='dashed')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot elements can be resized." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(x, y, color='red', s=100)\n", "ax.plot(x, y, linestyle='dashed', linewidth=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is common to modify the plot after creating it, e.g. adding a title or label the axis." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Measurement X')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(x, y, color='red')\n", "ax.plot(x, y, linestyle='dashed')\n", "\n", "ax.set_title('Line and scatter plot')\n", "ax.set_xlabel('Measurement X')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The scatter and line plot can easily be separated into two subplots within the same figure. Instead of assigning a single returned axes to `ax`, the two returned axes objects are assigned to `ax1` and `ax2` respectively." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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J/4ifAVaBrwOv3Ka6/wL8N/CN6Z/l7XrM69aO+Yux2WMO8LfAaeBbwKFt/DnvA74y/aX5BvAHI9T8FPA94GdMznjuBN4GvG3m8R6d9vStsf6dFznXi5ztRc31Imd7EXM9z9n2qxUkqQmvtJWkJgx8SWrCwJekJgx8SWrCwJekJgx8SWrCwJekJv4PcgCmcLyIQvoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2) # The default is (1, 1), that's why it does not need to be specified with only one subplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To prevent plot elements, such as the axis ticklabels from overlapping, `tight_layout()` method can be used." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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S7zE6Rru0CSd3h/5MPldVv6iq7wLnGQ3ZVue4HTgFUFVfA57P6OKXW2nQe6dBht0yR0NyOEs7ZZZmfaJszUmxPcAF4DqeOnn3u2vWvIOnn9w9tU05bmR0ovHAdr0Wa9Z/ic05sTvktTgEfGx8+2pGX8tfsg05vgC8ZXz7VeM3czbhNbmWS5/Y/VOefmL3G5vx/pjBa7Ur5mhojjXrnaU5naVNeQOtCXUr8J/jN+17xvvuYvTpCkZN/hlgBfgG8IptyvHvwP8C3xz/W9rqDGvWbspQDXwtAvwjcA74NnB0m3IcBL46HrhvAn+yCRk+BXwf+AWjT3i3A28D3jbxWpwYZ/z2Zv1MZvBa7Zo5GpJjzVpnaU5nyUsdSZJa8koSkqSWLChJUksWlCSpJQtKktSSBSVJasmCkiS1ZEFJklr6fyGHMeS5YHzKAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure size can easily be controlled when it is created." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4)) # This refers to the size of the figure in inches when printed or in a PDF\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Putting it all together to separate the line and scatter plot." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4))\n", "ax1.scatter(x, y, color='red')\n", "ax2.plot(x, y, linestyle='dashed')\n", "\n", "ax1.set_title('Scatter plot')\n", "ax2.set_title('Line plot')\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> #### Challenge\n", "> \n", "> There are a plethora of colors available to use in `matplotlib`. Change the color of the line and the dots in the figure using [your favorite color from this list](https://stackoverflow.com/a/37232760/2166823). Use the documentation to also change the styling of the line in the line plot and the type of marker used in the scatter plot (you might need an online search also)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saving graphs\n", "\n", "Figures can be saved by calling the `savefig()` method and specifying the name of file to create. The resolution of the figure can be controlled by the `dpi` parameter." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "fig.savefig('scatter-and-line.png', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A PDF-file can be saved by changing the extension in the specified file name. Since PDF is a vector file format, there is not need to specify the resolution." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "fig.savefig('scatter-and-line.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This concludes the customization section. The concepts taught here will be applied in the next section on how to choose a suitable plot type for data sets with many observations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Avoiding saturated plots\n", "\n", "Summary plots (especially bar plots) were previously mentioned to potentially be misleading, and it is often most appropriate to show every individual observation with a dot plot or the like, perhaps combined with summary markers where appropriate. But, what if the data set is too big to visualize every single observations? In large data sets, it is often the case that plotting each individual observation would oversaturate the chart. \n", "\n", "To illustrate saturation and how it can be avoided, load the datasets `diamonds` from the R sample data set repository:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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caratcutcolorclaritydepthtablepricexyz
539360.72IdealDSI160.857.027575.755.763.50
539370.72GoodDSI163.155.027575.695.753.61
539380.70Very GoodDSI162.860.027575.665.683.56
539390.86PremiumHSI261.058.027576.156.123.74
539400.75IdealDSI262.255.027575.835.873.64
\n", "
" ], "text/plain": [ " carat cut color clarity depth table price x y z\n", "53936 0.72 Ideal D SI1 60.8 57.0 2757 5.75 5.76 3.50\n", "53937 0.72 Good D SI1 63.1 55.0 2757 5.69 5.75 3.61\n", "53938 0.70 Very Good D SI1 62.8 60.0 2757 5.66 5.68 3.56\n", "53939 0.86 Premium H SI2 61.0 58.0 2757 6.15 6.12 3.74\n", "53940 0.75 Ideal D SI2 62.2 55.0 2757 5.83 5.87 3.64" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "diamonds = pd.read_csv('https://vincentarelbundock.github.io/Rdatasets/csv/ggplot2/diamonds.csv', index_col=0)\n", "diamonds.tail()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Int64Index: 53940 entries, 1 to 53940\n", "Data columns (total 10 columns):\n", "carat 53940 non-null float64\n", "cut 53940 non-null object\n", "color 53940 non-null object\n", "clarity 53940 non-null object\n", "depth 53940 non-null float64\n", "table 53940 non-null float64\n", "price 53940 non-null int64\n", "x 53940 non-null float64\n", "y 53940 non-null float64\n", "z 53940 non-null float64\n", "dtypes: float64(6), int64(1), object(3)\n", "memory usage: 4.5+ MB\n" ] } ], "source": [ "diamonds.info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When plotting a data frame, `matplotlib` is aware of the structure of the data by specifying the `data` parameter and the `x` and `y` parameters can then be specified just by passing the name of a column in the data frame as a string." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter('carat', 'price', data=diamonds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because this is a dataset with 53940 observations, visualizing it in two dimensions creates a graph that is incredibly oversaturated. Oversaturated graphs make it *far more* difficult to glean information from the visualization. Maybe adjusting the size of each observation could help?" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter('carat', 'price', data=diamonds, s=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's a bit better. Reducing the transparency might help further." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter('carat', 'price', data=diamonds, s=1, alpha=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is much clearer than initially, but does still not reveal the full structure of the underlying data. Before proceeding, add axis labels and remove the axis lines (spines) on the top and the right." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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KiHw6sP2giCgRyQe+fimwv0NEPikiayJyUUR+ruG67xOR10WkKCJ/IyKj7Z6r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GDx/p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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter('carat', 'price', data=diamonds, s=1, alpha=0.1)\n", "\n", "sns.set_context('notebook', font_scale=1.2) # Increase all font sizes\n", "ax.set_title('Diamond prices')\n", "ax.set_xlabel('Carat')\n", "ax.set_ylabel('Price')\n", "sns.despine()# sns.despine() essentially does the following:\n", "# ax.spines['top'].set_visible(False)\n", "# ax.spines['right'].set_visible(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The axis can be adjusted to zoom in on the denser areas in the plot." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter('carat', 'price', data=diamonds, s=1, alpha=0.1)\n", "\n", "fig.suptitle('Diamond prices')\n", "ax.set_xlabel('Carat')\n", "ax.set_ylabel('Price')\n", "ax.set_xlim(0.2, 1.2)\n", "ax.set_ylim(200, 4000)\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is still not satisfactory, which illustrates that the scatter plot is simply not a good choice with huge data sets. A more suitable plot type for this data, is a so called `hexbin` plot, which essentially is a two dimensional histogram, where the color of each hexagonal bin represents the amount of observations in that bin (analogous to the height in a one dimnesional histogram). " ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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BvIgAbityxXVpexYUwktU7qQN60s8L9Z6Zry+pL2O4vXIWk8RvORF0bxE+x+nL45w/y2/4m0n/znj+8Z77IAd1QASgdtyjWViiqmG5TyF8KmgneJCnoVm+lCZFjlALzfBpPRFXWChjrr4fpiJxzVM4SXLLFDC0eq6qOumO0ixRF5CWa36EghRfYnnJdPseID0xdqUpOM6LLxE05fKS5b0ZfISvXbaCSK8uFr6IQzVABLB019+Bh+96gMMzxlOdfOynceTqMjaRZYu+brJNmRJX8JSuydezPhMvKgxrc9Qvw0lcDE9vJCMEnkphAtTrniJldVVjj11CV+5+dMMj1Z7IH3Dw9se5W/f/w/tZV/IihWSpTxZ8+S1tTNeti7xc5Q1eLwEkubjRWLklPlnBi859aXiZYpcLC/F9v/+W7fxDx/9ztSHogtENYBEsOXnd/Gbu7Z3RnLrzCBhyd132dbOeHnKrCVj/sHmpSOEZZego115iZvddskz43jJIVe8xMvF8lJs39ymy7X//Av27R6jLFQDSASnPvtElq5c0p5JpBrxy3i4L81DhQXK1nOJeim3vdHntJ/HSN23InhxHJya4/+WilAQF0Xxkqdv06gvpXAxC66jQeWlVq/xwj/8XUbnTf8LpfYbHHzkQbzhotcyPOq58eZ6h0CvsnRJU9JsrLd3EXThxd+H8OQufY7LG5Uz8iIi5XBRBC9Z5IJ5ySuXwkWZ11E3ebbzIrDk5CN57XtfgeOUd5uvBpAI/t+/3cTHX/dZxvdOTLV1FiEnQegsg/OWQXgG01Nb2uVZykiU/YFDFVSycRSNz8CLiHgeWPgzMr8DqXhJ4ijES8byitCdHnixoXh9SS4vs05Z6spUxrTzktyuIngR4Fdbfs2frP0gY3srN96+oTFcRzW8JIRuv2P35atEw4NynY4sRrjQRWm7hUWQyrUxsRCzvPgkibwgnix4fY7jxRIuRHmxVGYJMzdTEQfECXffxksSRyFe4hOn0pcY3ZmiL2a4UwwvcShcXywZ7fe9FNeRMxt4iUfxvAi1Wg2n5rSPvi8D1QASwZoXr+Kz136U4dGhbBtfaiwjDVkt4bjxaTSyDO5UZJGnA1l4acti5yXKhdp4mVq/3S1S23cQNTOXyV1WfYnRHZu+TOHCxksSR/2C9Xexyfmuo668mPXvZ7y4rnLc6mNYf/cXO6dqlIBqAIngwXt+y8d+/7NM7PMPBS7bLJEka468/UDaNgWHFwqdK6NvvEzDHWK69SWt3G/MlGtnUK+jHPLdN93PZ976ZVqtVo+NtKMaQCK468b72PHQk52XsKRZBQya3A9kaZNq+GnwPnGhLdebkanfBlxKJ2oQfv9B0RETg9DnQeSoxD64TZeNP7yFsT3VHkjfsPr5p7Dy7BWAZ0fM/K6HMtxsi3RjlHg57j0GNjnERSIvAiKIY7jx9oMX3wjuhXs2jCl5k7golZeCuShSXwaBl6I46ue1M2C81IfrvObdL2fO/FHKQjWARHDAwQt4/nnPZmikgaLxrnISL4sYNss0MjHhEgk36y1C1ng57lW7Njlkj03iRVJyUQov0hsXZfKSlYto/+N4CeSydcTGCwXyksSRjZcoR2ncx8vghRS82OorgBcR4fBjD+V3fu+ssFNOwUj7StsLRGSDiIyLyHoj/BgRURHZbXwuNuKHReRrIvKUiDwkIu+JlPt8EblTRPaKyE9EZEnavGXhF9+7kc/98VeYGIu8UCrF0lFTpLEukTUhPg0ko1xE2Un9DO1mSn95ae+/+KMYlMtLqO6CZFtYHC9ZOSqaC7P+6eIlLm46eLG1u0+8qCq/ufNB3nv2R9i3p7wn0evJSQDYDnwceDEQtx5aqKrNmPB1wPHAEuAw4CcicruqXiMiBwNXAm/He3Xtx4BvA09Pypuyzbkwb9FcVBWn5uC2DLu94P1QgQL4suAPHA6Iij/6A+LNfkUkNBMSPzyzTLDCibTHlHsZwJLQ7YLoyouD4PPiL7+78eI9d5iCFzoPCcbxIgA1453ojoAGCTsz40J5MZHEi9ln8fusXfTF8fvcIy8huWgdMVHxEo+811FGXqQmNIbq1Bt1arVpfpBQVa9U1e8Cj2cs/43Ax1T1CVW9A/g74M1+3KuBLar6HVUdwxswVorIiSnylobVzzuVyzb+FUMjjXCEOZsx5LYiup1lZNid0LKUTyuHlqYx7YnK/UYSL2ry4ibyom5KXujOixdmrDz6zVEaXkxXTO3OCwXxMkXuN6aLl9lwHWXgRVvKstXHcsWvLpsRbrzbROQBEfm6v7JARBYBi4HNRrrNwApfXmHGqeoe4D5gRYq8pWHrbb/m3c++hMnxuAXVNGA6lboIqMX7qudyCyxrNqHipYKPu268jw+d83FazcF1430MWItnZjoDmA9c4cfN8//vNNLv9NME8WacGZ+U1woRWefvy+j27dtTdqOD+zdvY9/usVJJ3+9gmo36WW2r1dnw9JaF09KOChWmA63JFndvuG9wjzJR1d2qukFVm6r6MHAB8CIRWQDs9pMtMLIsAHb58u5InBmflLdbm9apqqiqLF68OFuHgLUvWcWzX/P0trudeTRAyBUvdKwAbTnzRnYKOXSyiW/zBMLuhLbwlLIT54rYzUUxLS8iSN1BTDtsX3jxPp1wTcWFE+lzabwEfZkh+hLlJZM8S3iRsnkJyZ325+VlZN4wb/n462eUG297O0pVnwB+C6w04lcCW3x5ixknInOB4/D2RZLyloaRuSOceNYy6kO1qbZT0+Uu2JCjY6f071OeLBhsxMjBD55C1pDcvT1Twm3uh6Z3lMWm2tUVMyUvItLhJbgwsvDSha9kXmRgeQnk1PrSLqgIXsrRFwaBly5yal40JtztvFumNF5i9mny8iIiLDzkAJatOmYg3HjrIjIC1ICaiIz4YWeJyHIRcUTkIOALwLWqGpieLgcuEpFF/ub4+cB6P+4q4BQReY1f9iXALap6Z4q8peGX37uRr37oCibHm11+3Kk/dDc5dqMuKb5IOQ6htpovXrKnySZ3wlzXP/LarMdWVzQsN19Ke//FH7ympInBlA3KknjpJif+jj3xkqEeMzrCS1z9Ogi8FCHbyoyLHlBeVJWHtj7Cxa/8JPt27+veiR6QdgVyEbAP+BDwBl++CFgKXINnWroNGAdeb+T7CN7G+Dbgp8CnAzdcVX0UeA3wCeAJ4CzgdWnylokDD1+E6yq1Ri0+QXQwT1oum8vOiBx6CjXFU7Xh8uPD+yp3g7n0d2qIOFCrWXkJmTKK4iV4D4KGX23bV15s+hIxR9h5MeTZpC8peBEpkpf4ugeSl7h0GXkRRxieM8TcA+ZSa6R9WiM7RDVhiJ3BWLNmjW7YsCFzvoe2Pcr5p76HsRJfBZka5vJ0BkJqNWi/VKoJbkGdScOLdAaQGU1iFsxwfalQHFY860Q+9YOLGB4dzpM91VSxOsokgns3beX8U99Dc2IA3XizzuyKXFHkhdo60Gu5lmKtvFhmmqE0KcoZdBSlL1nTzCSUsYoaQF7u3nAv7zz9AzQny7uXVQNIBL++4wHcZmtwBhATWW22ReyV9AgV782A6raKW31MqcQmG0eZ9MLdTEVRfd5feOllf2QAeZkcb/LgvQ9NPZapQFQDSARnvfwMXvZHL8CpOd3dG32ksbPmnp0klWezf0ZcEePcD1OdKBqVRRLLaTexvWnt4gRvHBTtIy/imbDavGhqXjK7ZebhhZmnL4XzknG/ol+8kIGXXG68feBFBOYfOI8Lv/z2GeXGO+NRq9eYu3Cu90NHIzPMMqy6LjEJ8l4k1vaEPTrUkJPzEjI7qdXdI007QCKdS+TFFtYvXroVWyAvUQwiL3TjJYVnUSIveQcEW96CeJGYCBsvU3o4MLwIjeE68w6Y20NhKaqrNtHD+PG3fsalb/tyqcu+/QudmVXXG1Jp1e+HG+kVKvhwag7ffWI9o/Myr0JSDWPVCiSCw5ceCiLeg4QBepkRdEOaVYghi0UuKn0ZG/DigDgO4jjeibihyGJkaz8dQ70d36SFZDcLlMBLV5TNywDrS1cMAC+lcFECLyIwNGeIgxYvoj5UnhtvNYBEcNJZx7P+zs9THzJO4y1r4ppx0y7rA1aZH8gqYwPevPqi6QuqLzsv8Q9q9ZWXbpg2XrKln1G89NDP0rkogRdVOH71Utbf/UUaQ43YbEWgGkAiuOP6e3jz8gvDXlglzZxSzX7M4D7OKDPPutIgmr4wXpJXFD1tZJfNSxTWum0EWIJTtNvGxUzipZdVx2zlRQTu2XQ/b1p2AZMT5Znjy1vbzFA8tPUREKFpkl7SzKmXWWHZM8rMsy4LPE9a108byVAYL5YVheu2zVhqHG0yCLx0RYqVU1H6kubYjEHnpZdVx2zlRRUm9k6wY/xJmhPN0lYh1Qokgme8cg2v+9C51Bs1uyumdTabPEPM5D2SRZZ42XRFDIcT6pvpWiiW8BAXZvkY4UTD1TvGxDiqpHs/BH/jJDL1S8gXkcURpFbruFC6bmpewi6XMX3O6rrbi77EYZr0pX+8pOhHHErkpRtfg8iLiHDQ4kV8+Jt/nmcDPTWqASSCVrPFkw/vxHU1pDNgfNFoBEZEAuKS5J2NRO4/Hf0OR3TuzWZ4pAMhhYy/sZnliil04yVu5REHnSJY4lPAel/OzkvcDV+m1BHDi/nF2vacU88s+mIbYOlVX5IHwvy85ETRvET6GM9LtNxp4CU2vTK+b4JdOxLfgNETKjfeCH78zeu49O2XVW68RcE89S2TK61kSNsFjuMVU7nxVtgP4dQcrtqxPs/DhEnrPa/87E2a3Tj6pCOp1Wulur4VAtvPm2bJn8Us0CNEBKnVvUMVo2681kyB+SpteptsDB4DxktfUFSfZzMvadLMUF4aw3WOPOFwhkYqL6y+YdnqY/nK5s8MzgBiU0zbZDrNMr7IDbwkhEwfBVZmK9baZ8sGdChNinIGHZl5KSjNTEKaPswCXk5Ys4wv3fhJ6iUe514NIBHcet0dvG3Fu5kcN0xYU+ycxv84M7G5ZxzZfDMtOqH3GMTJkaqLckUtRTa/h3jx38Wh3ma6nZdORHB2FU5vvIQSOZbwsrggJi6XviToSK+8ZJR70rUo4ngxrhHphRei/ccSPmC8RPqZlxdxhHs33c8fLHknE+OVG2/fsOO3TyAitCZbncDo7ELjw9uTXNdIEpmlmHvF7f0nmxzJb38VZkzb+i2b3yNtVlxEBG11iJnKSycixIWZJiMvnueVf7WF6rOsRorkgpi4XPqSoCN5eOmhbz3pWhRxvBi/eXCYcly9ibwQ7T+W8AHjpUv6LLyoq4zvnaA50aTVbMFw5cbbFzzz3LX80af/kMZwI5X7ZdYHlGyzi5DcLV8eOQ7RtsbUH+5PGi6m8iK1GrV6zTvKRCTbTK0nXoT2OVhihCXtw5izuBJ56SZbuegWX6QcB3MGHHX1DcRB4KVovpIwoLyIIxy+9FA+/u8fZnTuSMrOZEfad6JfICIbRGRcRNYb4U8Xkf8SkR0i8qiIfEdEDjfi14nIpIjsNj5LjfhVInKTiOz1/68y4kREPiUij/ufv5LQerMc7Ns1xm3X3dF+Et06iPjhaoR7shevavzISudHDmSdKksg002WsBxpT6wsMXJI2QWnfdMUwyQgKc0DQf81woX4K4owL1O4SMsRYTmZF+3O0XTyAtl4iel/ai6y6o6Vl06fe+LFsfHS4SLTdWRy0fU6SsFFlJc4Lszj3CO8SFZeYu8pveuLusqOh57g7g33pj5tOg/SrkC2Ax8HvhYJXwT8LXAMsATv3ehfj6T5tqrOMz73A4jIEPA94B/9cr4BfM8PB/gj4FxgJXAa8HLgj9N3LR9uvOZmfv7dG73jm11tL3fVMK0Ecd6X6BK6U1YvT63a5cjyO6ja7U12g36afbbJGs9LnDlBXRe31fKW0QZnWXhJx1eUF6VtDmv30/XMWglcmH0ui5e4PpTGhU3OqCOF8ZLx2inuOkrBRUZe3DT978ZLqntKPn0Z3zvB+ku+zd5d+ygLqQYQVb1SVb8LPB4Jv1pVv6OqT6nqXuBvgGelrPtsvD2Yz6nquKp+AW8cfZ4f/ybgUlV9QFUfBC4F3pyy7NwRei/PAAAgAElEQVQ4btUxzFkwSq1eWfeKgvifTKaBQio2jnJXN3L1Vagwu1Fr1DjxzGWMzMn1TvRUKPou+RxgSyTsFb6Ja4uIvNMIXwHcouH11S1+eBC/2YjbbMRZ4ZvNVER0+/btmTtwzIqj+OxPP0qjpE2nzOj3TbdgmMv1Ygsup9gZj4qXCj6WrzmOT/zHh6nVa8mJc6KwAURETgMuAd5vBP8zcBJwCHA+cImIvN6PmwfsjBSzE5hvid8JzEvaB1HVdaoqqiqLFy/O3I+NP7qVd6z+ABP7JsIXoxj/DTnJnVBM2TgTx5Z+imw2wfy14trWL2Thhc5eSOjVnlFe0nCRhZdoG8vfPrNy0dlHSKMvEivn4aWQTeIikMCL7TqSKC+Gi2pmXgaFCxOF8EIsL+II9968lfOOeRcTYxOldaGQAURElgFXA3+mqtcF4ap6u6puV9WWqv4C+DzwWj96N7AgUtQCvH2UuPgFwO7IiqVw7HlyD44jbRtvG2r8N+SQrdKdKqspu5qYfops2nAN971Y+2eaiyRJtl1QtvAEXjw3XlAkYv8l1i5cLC9+hLFhmvummiVfhIuOfT2NvnTZL8jIS+J+QVYdiUMWfbHwYruONMqLqVNl8BLX9oHnhVheVJWJsUkmxyZotcwLpFj0PICIyBLgh8DHVPUfEpIrHQq3AKdFVhSn0TGBbcHbQA+wkqnmscLxzFet5T1/9w6GRofCytXLzZkewrMgy83DJtuGZ1u+hP633Xf9/33lJViauOZd3IhPupFgiU8jF6Ujg6QvSWWkKbuISU5UJkV4FkwHLyYK4EIQjj7xCC796V8MhBtvXURGgBpQE5ERP+wI4MfAl1T1/8Tke5WILPJdcs8ELsTzvAK4FmgBF4rIsIhc4If/2P9/OfAeETlCRBYD7wXW5+tmeux87Cm+v/5aJvZNhJaKYMiaUbblTRNetCzxcpIJxWpOSeAl8GoRR9qzq/7xolP7nIKXONNa0byk7vMA6UsWXqzmpKy8FHV99YOXrDpikwvgQlXZft/D/PSff1GqG2+q03hFZB3wkUjwR/FuCeuAPWaEqs7z830LeBEwDDwAfNn3tgrKXQ38PXAycAfwNlXd5McJ8Cng7X7yvwc+mMWElec03h9d4Z3GO1ni4//7DTpPWAFC2xuqr20IPLH6XG+FCgMAcYSrdqxn7oI5mbOmSZTqKBNVXYc3UMTho13yvd4W58dvAs6wxCnwAf/TNyw/cxkHLV7EI9se9fZBhLDNeKbJRSJz3Qo4iFPzxo9mK11ecTw5MD3l7X/oqato2wrEIPzOg6IjJgahb4PChYk+9cepO5zxgtMYmTtz3HhnPI5Ydhj/84o/8/ZAILs9tGg5qtxZ5SKRox3mMrsdmbf/3S76WDkyiRogXgqVB0lHTEw3F3l46Qf6xMXxq4/l3X/7Dmq1GeDGO1tw4zU38/7nf5TxveMpz6SRqbLFthnaU7GcNGuejJB5A7FPSHM+T5Q7VUUc/0wssNt/Hf+8LFVfNniJqcfOUXD30L7xlYkXW/+tvETDO2W3ixcMksyG5e5SfqTiwpR758XjwkhjtqUIXorg0dJ/O1/5eJGacP/mbbxl+YWM7xsvoOHxqE7jjaA52SS4f4l0hnX7YK9TZY2XVYM/+CewGnkD9ztbZVlnTHmX7inSZpoQ+Qf4iAO4rh8uVo5w1QhX1KwzRu7KS+ggpfT9i0VhvHTXETsvUX0xyu6XvmTJZ6m+TF48LgyOiubFFp6FIyOdLUtRvLRwvUutxBVWtQKJ4OkvP4NL/uV9DM8ZKuycokRFjaaVmPCsyNuuwvrsDxX+iqM9k1I6q4OsbcnCi6o/TZdyfqPpkG3x/dKXvPlmOy9ZOOql7Ayyohx76tFcdtNfzaijTGY8HnvgcdZf8k+M7/Oe3rSe1NntBM8kOSm9dkmfSiaFbH6JLJUz12eXXf/wQhHpTNjyulBm5kXz8WKYO8ripWs/s8r90pf9jpc0fA0oLwq/uu3XfPuvvte+BstANYBEcOt1d/Kr237TGcnTnmwayG4KuZf0qWRSyOG1tP30zx5kAAS35dJqdU7jVTdYHdj6LMXwooqq225Jal6C72XxkvX3zyqXpS/7HS9p+BpcXlpNlx/+43+zb/cYZaEaQCI45XdOZMnJR7RnFaXMIkqRSSGHVx0h2ZLOEwXE6WyAp22T/8ep16nV6xA1Z4nv4hvNK+KHS/q64mQJNuGDcsw+xvd3yoZrV16S5EHQixwz6pjwfLykCR9kObkv3Xmx5e8PL07d4bmvexaj86b5SfT9CYccdRBv/cvzGPbdeEuZRSTJ0p9VR0i2pFOlfVHYyuomO/6godq5trrmFYsMOXiRfLxojDyljmzlDp6+dJlRx4Tn4yVN+GzmxZa/D7wIHHvqEs676LXta7AMVANIBP/v32/io6/+NON7LafxRuQps5E8cjRMu6RNK5votvJIU555909ZfzAL0uAFTqpeOxyZesc17chxo1UQnMRLKL1AYL6ypkmQi/htI3JufYnOdM34CFVT0mQN7xMvtpVb33ixcZEmfVI508yLCGy9dRvvWP0+xvaW58ZbDSAR1Oo1T+8EJKOGxW6gRWUjWyg871Ht0dlQUqK49LYyQrJL4Dua9RpEXbTVQlWN/iuem7Qi0c3ugIueeNHO/+hgFJs+Rk7DiwX2pqbXFzHDIZ4js0jzZmqDre1pwgvmxZpmOnixIQsvWeKxN8lWZTZeBMfxzM6St+8pUA0gEZz5ktV8+oeXMDI63N3kE4hxG1zaRTYuwna4Gw5PqjOzW2LW9All2Ew23XgR8VYe3ga6eM97xBxP7aXBT9OFl7jwHvpUSBkpOMqiL2oJj+pRqP4Zy4sh94uXAbqOUvGVgRd1leNWLuHrd3yO4dHKjbdv2H7fQ3zqTX/DePASlhLMGPFmohRyr3XlQU9LccObqmheemzbdPJSqr4UWVce9GCuqXgpVr5n41a+eMFXPQ/IklANIBHcef29PPqbx0MjfBszXc4FQzMz1qciUPM30Vv+ckIVTL/0uLzq+mn69BvkwSD8nrOAlzSz8IGT82Aa2uq2XK7/z42M7an2QPqGlc9dwYpnLQd8m2LehwHLksuoV+LeXeC9BCrx7Kpu7aMzWDj1WmCkRYzD3QaRl45NuaD3XhTcvkxyxUvp9Q4qL/WhGq/6k3OYM3+UslANIBEsOvQAXvr2FzA0OhS2tULIHBNyFXRjZDLKafPG2dB7ldXcjwj2Kehua07JS/Ck7kziJSgrlpeInJeXTH2reEkvV7y0r7vFxx3O8897dvg5p4JRDSAR/OJ7G7j0bV9mYl/EjddEGcvcXpfIUUgaOaaD4n/UTCvhtBl4UVe9C2WKN1RKpZ4OXorMB7NHX4rMB4PLS6prp4AybCiAF0X59Z0P8O5nX1y58fYTcxeM4j0AF/mlxfhvyGFXXF+OHjFtLmXj0neT4+qlixwgjRLGubeq/xEx0kZv/jF1R3nx++A4glNzEEdw6rUOF45lie9IstmsbF7ikCZfXN159CXGJFKovuTtX958Fi4SeZFp4iXVtROTL2sZJfIiIgwNN2gMN6beywpE2neiXyAiG0RkXETWR+KeLyJ3isheEfmJiCwx4oZF5Gsi8pSIPCQi7ykqb1k4/QWn8Tc3fNJ7oVTcD69hOXT2jemWG+dapxqfvpts1l/GjM2KLoWm4aW97Pbez+x5ZLmGm6Ebv8R3leDhw8HkpQuK0pcYk0ih+tJvWLhI5EUrXvLyoq6ybPWx/OPWLzM0MlRaF9KuQLYDHwe+ZgaKyMHAlcDFwIHABuDbRpJ1wPHAEuC5wAdE5Jxe85aJbbf/hg++8C8G553o06ngvUIInQRaaFdmMi9louIlHvshL3fdeC+XnPspWs1pduNV1StV9bvA45GoVwNbVPU7qjqGd9NfKSIn+vFvBD6mqk+o6h3A3wFvLiBvabh306/Y/eReWs3yjkDuL4Sp6/aUeTQ6XcsIpwb1Ogq4zSa0WmA80V6hQoXy0Gq63P7Luwd6D2QFsDn4oqp7gPuAFSKyCFhsxvvyigLyWiEi60RERUS3b9+euUNrXrySZ7xyTdvOaN2/iJPpJpNCtqVPUb4j7THCk71BQGqOd/4UGpOmI7ddd2s1Lw8gtY4bb1cXRRsv6iKtFgLUGjGn8ebiJdLnzLxY+j+Fi5RyHl7StHtAeJmqIwVwNF28dJOzcjED9GV4zhB/eMn/GGg33nnAzkjYTmC+H0ckPojrNa8VqrpOVUVVZfHixYkdiGLOglFWnb2CxlDDKy/G9U+Q5NM/p8iEZYnIQTlt2RZukae49CkET4Jrxy7a9o7SsBy47obtq4ZNFcPuHJK78OJ6bTD7Lz3zEumzLU2IC0PWeFlDckz/bXJeXtp9zqkv0h9esPGSxXW1n7zE9TmNbPY5BS9x+kJmfUl5f8nBizjCgYcvYsUzlw+0G+9uYEEkbAGwy48jEh/E9Zq3NPziexv4yvsuZ3J80u43HjqghnyyRuRey4uT26Yi/yqjS1rwLoAUfQsl6caLN1r4F5DrDU794oUU4TbkrD81L3nkKC95OSJFuA056+8rL3nLI0W4DZ3xI1OdaY5mz9sndZXf3vcwH37pJ9i3Z3BfKLUFWBl8EZG5wHF4extPAL814315SwF5S8OiQw/AdZVao/O09JTtA4mXTVfBWLdBczlqW6Z2XbLG1BWRp7Qt2HPw/In9CojNLDXpLLctabq6QE6p2/O+cpwaODWcRt3op3gmLf9/Kl56MBVa222bnGXNm4UX/3+cvkgefUll+iRWHhReYq8dp0hekvUlVx/y5o3KWe4pEV7i+i+OMDw6xJwFc6jVjXtZwUjrxlsXkRGgBtREZERE6sBVwCki8ho//hLgFlW90896OXCRiCzyN8fPB9b7cb3kLQ2nPedkvnr7X7dNWMDUGUnSTEvDcsgtz3TFS3LpxVvyTim/i5x5hhWa+Uhimq7lx8WJ91InEfGOdHejZQkYLr1deVEbL8kc9TQL7XVma5k5x+lLyG8hrb6EeDGqmkG8xF47boG8WOUe+5A3b1TOck+J8BLXf3WVZacv5YptlzE0bNzLCkbaFchFwD7gQ8AbfPkiVX0UeA3wCeAJ4CzgdUa+j+BtjG8Dfgp8WlWvAeglb5m49+atvGPV+2lOzgI33jSzJTM4zUwrI9R04w1VYHYsR2Vl8DIbkJWXrLPr/QWzgJe7N9zLhc/4MM3JZml1SMjeNsuwZs0a3bBhQ6Y8P/7mdXzm7ZcxOTYgA0jPMG0AGplyxSX318pTZos5XG/FgZp3iKKooq2Wpf7Zq4MVKkwnHEe46olv5PHESjU8VkeZRHDWy07nxW8+GyfYD5COTbFzL47IBLJRUNGzE8MWGidLSJb2QNBx4wXzdN2wq2/NOyFXgjeYdfrctqkGaYLwoK5uvKiLoN5RJrWat+fhdNrW/vSLF1u7e3HLjMppeIm2PSrnRVx5KXmxyfsfL3YuCuNFyudFBOYunMO7Pv+WgXbjnXWoD9U55MiDcPybZSqPiDZstqGESm2KEZcvyVaKuT8gkTTGzoHhAujZYONtxHavESPeqG4qL2LvkhhCXF+L5iXUf1u4hmzt5fESZSYUES+njTcR4SVIbvOM6isv0fb5mF5e0vUrDS9WLuL2NYvixQgcnTvCgYcfGJ+nIFQmrAh+8k8/5zPBabyzARIzRwjtSKZdBZi7mWnr9lY3KoIoERNWwt21QoUKPcOpOXz3ifWMzqtMWH3BocccAqrUh+qdwF6X1Jb8aVwIs7ruhkxqtVp7+Ry46CKEf3XHzBxfjhfur/OzLKlVverqdaReQxr1iAkL2oNH17rj2pcsW3lJs7IpSk6LjLpgTxPfzzS8lM5FSddO2dfRzOJF/P8wPGeYhU87IHwvKxjVABLByU8/ga/f+YUw6Wnc+LohhXnFmsYMTpHXuqI0g6e40iaUY22EpXwT7aPZxXs7YXsBojnqTtGkFGX25LqZVU6LNLqQSl/i+5lKX2YQL1ndknu6jmYUL+r/xz+N90vhRxIKRjWARHDnDffwlpP+jOZEH7ywss5Iss7AbHmdFFMea9uyTZc08N7yzlewFNqtPnuWTpOyzRZLf3isSPTES7a8FS/x8kzkRQTu2Xg/bz7hQiZLvJdVA0gE2+97GBSaE+UdgdxGDzOVVLMo/8G98LlERB7mc8MfoGOyMsv0902y7IE4Djg1XNdFmy202cUfvScuss0WS394rEgUpCMVL4a4H/CiChP7JnjswR1Mjpf3HEg1gETwjFeu4bXvfTm1Rg2ni9tngJ6Oi4hDlhmO2GUJji7x5cCF13TFNfsjjoDj4NQdHMcBjZ7e2zk/oZs7bKf/vsmq5eL4m+k4jsGL9o0XSeAr6rqZxv0SW//j5F6OXUlClhl0qM8znJc4jvKuLIrkJc010gd9EREWHXYAH/zGBZUbbz+hrjK2Zxx8V73YiUIvs4ekvAXMTMQopu36p0S0LnxtxEYQUWAjSfpmpkxZIi8dLjoQDKfICAG98BKLFANCWRNSW9mmbmflZQqmgxdbpzLATC5GmMlLWxdsZtLo1xCZJhcZZgUF6Utr0mW8ZG/Syo03gh9/8zoufftlTMyWJ9GDfQeB9hPmrotVBf2VigK0jKfPgwMZM+mLQM07wDE4C8szk5lDXIUKFcqCU3O4asf66kn0fuHI5Ytxag71ofJOsMyEjMvykOxEft7g3SCOeAOLOP6JuMZHQVuuP8i0M3r/Mk82FBFwhupIowbtU0ELWmb1S55JGAReBpG7QeClz2iMNDh86dMYGqm8sPqGE844jr/f8jnqJbq+5UY/XQgL2vATp0ZgDBC3pFfZDopr5aBhungZRO7K5mIA+3zCGcfxlc2XUm9Uz4H0Dbf9/E7esvzCsBtvt1lH3IYbyRtx3uauYSO1bcyHCiU+TYrNtZDrbtKmYqT8VA8P2ngx3XhrtU65Ni5y8GJrd+bN2FS85C+nm74k6kif9WXaeLGl65UXiw6XzUvPq5qcvIgj3Lvpfs5b8k4mxsszx5c3NM1QPPbA44gjTO4z3HhzzECmnNgRI4ce+sr49sNU73pw1T8N1/8ugY9fXJt8V1/H89wq6mE7VWCy6b+RML4vIS5y8GI716mnd2BY8pbyEKL5vUBeMuvLIPBii5uhvJSiI6Zs4UVdZXzvBJMTTVqTTSjpnSDVCiSCZ557Jm/9xOtpDNdTzWbSyNaZgxlmC88piyPe8SHiuxb6brntiVtkFib+fojjGOnbiTQ/F+rtgwRuwG33Ylvbi5y9pZWncCExcidd1hlvurdKZtSXfsgWXkIz3cJ4SeZrOq6j7LwY7c7NC5nSxLVRHOHQJYfwF9/9YJ5zsFKjGkAiGN87zr2bttKc9FYgoR885sdXtP2jhWTtyChT5WDmEMi2cHxlMeVIG6ztVH8gMdMbGm4qe8fkFrkg4sq1hUd48cYhf04kgKo3O8vCSxc5Ny/E8dIpP+4mkIoXCxdm+zQi59aXlHJRvJg64oT4KooX23UUw4UpZ7iOwryk48KUk3iZen3l5UV65kVVeerxXWy7/TeUicqNN4IfXeG58U6WaDfsJ6Te6Ci1G3mlbBvaWXeL935y78DewEwQXJlZKxdv3wMBdb2bZPsMrNmrdxUqDArEEa7asZ65C+ZkzpomUc8rEBHZHfm0ROSLftwxIqKR+IuNvMMi8jUReUpEHhKR90TKfr6I3Ckie0XkJyKypNf2JmHpaUczMneYWmNA3Hh7gNNotM1WInin89ZrnZdD+fsd/hSJwLSkrjGgeCEdUcJpu0IVUfXrbXh58g5GFSpUyIR6o8ay1ccyMme4tDp6HkBUdV7wAQ7Fe1/6dyLJFhrpPmaErwOOB5YAzwU+ICLnAIjIwcCVwMXAgcAG4Nu9tjcJx566hC/+8i9plHgEciakmgf0kDfzvTxbg8R4FkWKHDh64WU2o+Klgo/la5fx6R99hFq9vMlw0XsgrwUeAa5Lmf6NwMdU9QlVvQP4O+DNftyrgS2q+h1VHcMbbFaKyInFNjmMm39yG+ef9l4mxrocAWCxl4dl74t5Po5pC/Um8TE20qhs3BEybS5C+GHAmBN4RSQ2fGqZcWl8e2xc3WK2tbMXEryfBLrwEu1/nB25Cy+pNkP7gbi6O8eJhXUk2k9bn5NkorwktGc6kImX+I37rvpi4yXrtdNvGNeOlRfHwktMn8UR7tl0P+cdXa4bb9EDyJuAy3Xqxso2EXlARL7urywQkUXAYmCzkW4zsMKXV5hxqroHuM+Ij4WIrPPNZrp9+/bMHXjq8V04juC2usyWDRc6c5sgLHfc6dp0aMfN0Dv8dmr4FDmF62rshiHgBm65/vvO20laLdT1PkT3RBzHP/TQ6ShzqK6IO6TFtdB8L4G6Lrgt3Gazw5GNF1v/U/IS255oH/qBuHYYnswa5UhT9DlJJoWOROV+IxMvmsjLFH2Z6byY11SUF9fCS0yf1VUm9k0ytnecVrO8k8ULG0BE5Gjgd4FvGMGPAWvxTFRnAPOBK/y4ef7/nUb6nX6aIN6Mi8bHQlXXqaqoqixevDhrN3jWuWdy4ZfP9x7/TzFTSTWbyTKzsaXNao4ScIaG8Kf/0GqFk8RtRTiOMbtRY5WgMTOkzqwnro1iRguGKUtj0yeiKF6KRsbfv2/6Mkgom5e48P2cF3GEI5cv5jM//gijc0d6amY3FLkCeSPwM1XdGgSo6m5V3aCqTVV9GLgAeJGILAB2+8kWGGUsAHb58u5IXDS+FDz1+C5++p1fMDE2iSAkud9570nyw9VYKttkEmRNCE/tcii+y6i0zVTRo6fbY4DtqG4x5IALJRMv6ntdDQovIVniZeux5d14SVl33/QlKxdF8yI5eEniwsZLXPhM5kUjvOTQF3WVh3/1CL/895uYahAqDkUPIN9ISNM2KqjqE8BvgZVG/Epgiy9vMeNEZC5wnBFfCjb+8FY2/eg2r7Hmi5i6LY9TPS1dkGyrNyKrKjo25pmPEKjVvPBmi8BP3Czfu9G7uK3A1ddTwrastJ9b8HgJjijpwguCiuC6Lq3JyfaezHTyEpI1XjbNALGyxsupzUwDqC8hebp4KZuLmcJLt3Zk6OfkeJPvfOZf2btrH2WhkAFERJ4JHEHE+0pEzhKR5SLiiMhBwBeAa1U1ME1dDlwkIov8zfHzgfV+3FXAKSLyGhEZAS4BblHVO4tosw0nrFnKwqctwKlloCbN0roXOSecoSFP0ZuttgnLNFMFs6G22UoBV71j16e47gqoGA1L0UB1odn0joU3J0F96v+MwzToyMCijGtnNvCVof9O3WHVc09hZO4Au/H6eBNwpapGzUtLgWvwzE63AePA6434j+BtjG8Dfgp8WlWvAVDVR4HXAJ8AngDOAl5XUHutOPKExay78v3ZjkC2rRC1ADm30vs3/bwoYtWrEHpeJPQIdkw9NjkOs+FmEEXfdWSA0QsXNl6K0OnpRgYuTjh9KR+8/E+p1cpz462eRI/gxu/fzLrf+zSTE5Nt+z3Q3osOyeLZwINjKALboxku4mXwDir0w91wuHdfDdIHts+gnE5dXkTKjghIrY7U6l5eR7yVCEw92DAo2m972wbry4rfiNBF6n0X0Xhegr75Z2Cp63b64+bhpSP3xEvRiN6w8upLnNyNlxhdq3jxCJj5vJjtzseL4wi1Rh2nJlz52NcZGhnK09JEDMjTcoODiX0T3gPTvnIGv3XsYK+gxgm3cSeEqtLRDDc+3PvXsZGaFYX0PIPStw1NQ3VwHMNuq57rbjBQua1O2SI4/kNH7WNHUK8s/z3p4aNQ1M6L0Z/AkQvtpM/Oi1FDL7wYF6rtYk4upJPWli2zvsS5q3bjRWPKMYKnNCKpS7OCF0MxplyPMQ1I06Vp4cVod05eXFV0sklNa547f0moDlOM4BmvXMOHv/nnDM8Zsl+MaeSsSLLhZixbEZyREUC8Nww2m164OT4FF1yg3Oa+z5Tj18MDW7uRiVwI3ltsc9pZkrJl5aWI385CS2YdMeU09GTRkdnCS1YUbM6bqbwIcOwpR/GlGz452EeZzDY8vv0J/umTVzG+d6K9PAyQ2fUvrSsmgFrk3HVpsKho37xD7odinsbb5YnfuLZm4cV/oVQhvKTlIm9dhLnIzEtUztLWaD/T6EgeV9QU/bfJfeUlR/uA2a8vKdukCttuf5CrvvifuGW9CZRqAJmCW356O/du+pX3xVweQnbXv366HEbzKri7d6MC0mjA6IhnTmr5rrRuK7T0V/VcfN2m6w09/rvSQ+YRaK/B1TAoJ7ZPA8+uPnHR42+Q6knoQWhrHlfUvHX1m5d+XjuzlJdWs8X3v/4T9u0eoyxUA0gEJz/zBI44/jBjVtGJs8sFzJxSy2naAwg4Cw+AWh1VF/aO+TZSf1UghtJJ5yN0bvYi4p3aSydZ29wVrGzEIXRgYpQXEaTm4NTrnZXQdPISI3c1DVnieqlvuvQlTfutXMxiXnrSkQHmxak5PPs1T2d03sx4En1W4LBjnsa7PvcWhkY9rwXrNkBILnjmJN3SpGkP3o3d1ML2pnjwnbAc+S4x6bK3o/Mmw4HhJUbuame2xPVS33TpS5r2p7a/zyJeetKRAebluJXH8JaPvx7HKe82Xw0gEVz/Hxu5+BWfZHzveMrZW/Jsr+MSlVLWSL5usgWiLu7evYDi1GowOuKtBqRTWeD22Ib6nRDvCXKvQ8Yqxf8fGpiMZUncLChwNfRcEcXKi/SJlxCy5M06G001g0zIu1/xQqI8m3lJc08JyeadO4YXcYT7b93GH532Xsb3jSc0Nj+qASQCEXPiEK8l0UlHKHM7Z/BL2nVNrBFdm9ilAd0Kip8aiUjn3B4R79mRej08SNjKDFY1gQ3Y1jDtpLXyYrux2rpjq2cAYeUlbmDpxoutgoJ5CRXXN04TRhALL4J7TSMAACAASURBVOaY0a3IWPTSt4J5CRUnli8hi0InOjzIhnmxXksFoRpAIjjzpafzv6/+XwzPGQ4tC+1LU2PpGLfZZVqOTFOREjgopVseZ1RYFQdnzigguK0W7BsHc5MvBlKvG+0MGi7h+kNlmJ3Dwov/kJM/JbTxEj4TyCjP5C6mnsJuAknlZP2NsuqLm4IXix4l1p8RXVQkJnF+OdNmsoUX7SMvmfL2wott0zwU3slnXi9BGtdVlq48hr+/7a8ZHq3cePuGh7Y+wufe8bdM7PNfKJW0nO6SJtMmnBrp1Z43dZmuGx4sJDJViZuZmJvqadud1KbAjdcwKWTdnMzKS+bNz7SztJ7MNcnhvfDSS9ty8VJQuaX+nvs5L/du2spX3nc5rdYMeB/IbMHtv7ybh7Y+EpopB0izqdbLJlyavPYyjcW8H+4+uRPcluclNXcUHP/ZD5Fw+gBuy8savIQK8csyyjUvTv9LYj/VRQ1f9LJ5ybz5mXZm2dNsOzm8F16KWiGl5qWwFVlyeF/7OYt4cVsuv/jXGxnbU+2B9A0rzz6Z5WuP874IfXkQKZMc944C8Vxl29sL/mrDOeAARBzvJN59Y176mgNI+4yqIL2IQKOBU/MHGVe9Acep4U39/XLV5EW79386ecnShkiauAfDgr0i7wthuah2VLyUKxd1Lfebl5x81Ro1Xnr+Cyo33n5i0WELefWfvcxz4zVsipBSLsXlMKleCb+jwE8vELIRq9s5+FDNzW81H4YiYne2yGn6P+28pGxDJE3cg2GqXd7jUFQ7Kl56l7vxUtS13G9ecvAlIhx1wmJedv4LKjfefuKX/7qBT73pi94eSIKNsaucFZqcxJ7XNerv2Jg8N15wGnWYE5iw/FWISPv9597+CO3TejHToEbZ/n9hanhaOXPfesgbA6vdOFMhGWVb3l5QMC+F/F4VL9nKKJEXRdl2xwNc+Mz/xdjeyoTVN4zMHfGPQ7ZTE3ZFjVmamktWpyOLmHKKJW5EDt3EDVFqjndjNM66AtpPkWvLRVwXEQep1bxPo+59ajX/2PeGZwZz1XsBlOuCtgieWg9VGP+l8y0HL07BvNhgtRtnQcZ8YrQvxEtcP3vmpVNXppvPtPBiuY5svEiHl6zX0dQJUI4+DSovMfcXRxwajTr1Rq2tQ2WgGkAiWPOilXzhl3/J0GjDqjyJZh1TdjuyaR5KtcRVbybRrj9oQ6gt0L5zaDsAxEGGffc914XJ4DTeSOaQchuK5gZvEZRw3S6dcDSmLfl4cQvmpW+w3WCmjRej/ungw6w/Qc58HcWYWbvyYtOR2cZLzP3FdV2OW30Ml9/3pTzvAkmNol5pe62IjInIbv9zlxH3ByKyTUT2iMh3ReRAI+5AEbnKj9smIn8QKdeatyz8+s4H+V8v+0smxibLriodUil7TCI37PkUtt0YSDM5KW8Ckx/TeRMYZFS8dLCfc3H3hvv4xOv+mlZzZrjxXqCq8/zPcgARWQF8BfhD4FBgL/BlI8+XgAk/7jzgMj9Pmryl4J6b7uepx3fjtso7ArloaMsFxPO4cjqHH7q7d0OjDvPnwcIDwH/CvH34YbAP4pVCey+l5qCNhr+gUVTF34DXYJqDtxSpUKHCoKLVdLnlv2+f0Xsg5wH/pqr/raq7gYuBV4vIfBGZi/fO84tVdbeq/gz4V7wBo2veMht8+gtPY+05q9o2VKt9tUz3Q3E891nDJTA2vb8pLo0GTqPm72G0vPCaQ+3Qp+EMNRB1YedTCNreHHcadcR/+6A0vD0Rr15BVGF8wvcQFnDddl2gIXfFvvKSwEUqWZLltk3ZJkuyPDC8pOWo4qU8XlJw1NXVN6fcGGnw+v/5e8yZP0pZKHIA+d8i8piI/FxEzvbDVgCbgwSqeh/eiuME/9NS1buNMjb7eZLyWiEi60RERUS3b9+euRPzF83l6S8/g6HhhldvjAudmLJIvAuhTcaXxQgXM1wsspEm2h4J3Hi1Ha7tthm242gaN0bWFOFoPBel8pIgp3WB1GQ5zhXTKtMnXszwaP9tPMJUfbHxVQQvFi7S8ZKCi6y8RPufcB2VxksKjsy6xWhfXn0REZ521EGc/oLTQoNL0ShqAPkgsBQ4Avhb4N9E5DhgHrAzknYnMD8hjhTxsVDVdaoqqiqLFy/O2g9+8b0b+dKFX2NibDKy4WzWEaovNk2i94Ya4aG0vonI20HtXoZfvzvp79fUHO/lUSLQcmnteALAC1u4wPPScv33fajrXUvqN8TYrEPwVyqEw2PaEt2TN9sV2/bcvGQoo1ck1R+XNiIXzku3dtl47FZGHuT9XVLxkrHMLO2KS1skCuCl6PuLqvLgPQ/xwRd+jH17BvyFUqp6varuUtVxVf0G8HPgpcBuYEEk+QJgV0IcKeJLwQEHL8B1Faduocaf8bW/Sud/xwLVeV1sGlfEeBdV7brEN90Sa3NGYXQUhoe9QcTx3HWdBfNgeMgLa7U8s1i97g0oTs1/DkQ6Cij+4OW6nf9oqL/WDXUrL5LMSzc5o6nM2tY0k7Ci8prfU/MytW9TdCSJF6K8ZOxbt982S/puiOEldO1IREdiXLcrXpJ5EUcYHh1iZO4wtXpnX7RolLUHEsxjtwArg0ARWQoMA3f7n7qIHG/kW+nnISFvaVh59gr+/rbPtk1YUxCZ8bUn6OYk3njiO40r4hR3vTgZy2zEqUGj4e9VaNtdl3oNmTfP0ypXvdN4ITTiKXhxAUy5ZVn9dJvZxfKiybx0k21ujEm8pG13tA9F5DW/p+Zlaj+n6EgSL0R5ydi3jKusXLP5GF5C145GdCTmWsjFi7t/8aKusuz0Y/nWb/6P/V5WAHoeQERkoYi8WERGRKQuIucBzwG+D1wBvEJEnu1vmv8FcKW/WtkDXAn8hYjMFZFnAa8C/sEv2pq31zZ3w/23bONdaz/I5ESzzGrSI0kZXWOl4Dj+WVd4A8DkpKdVItAwZiHtqYx6K5BADs2iLLP6QUGeizTAIPanKPTCS4VZhbtuvI93P+cSmpPl3cuKWIE0gI8DjwKPAX8KnKuqd6nqFuAdeIPBI3j7F+8y8r4LGPXjvgW8089DirylYOutv2ZybJLWZHm+04VCldaevVCrIfUaMmeOF9xyaT70KKouOtRAD1qIDtVBQF0XnZz0ji7x90R0sok2W57sut5EKJjRuL5pS2eJ6251k62wH6A50eT+W7YxHryaogRIaPk/y7BmzRrdsGFDpjy7n9zDV973Db6//lovwF8iBvsS3oReUNSbtBsyxmQefxsjM8Q3ggb520eJRMKDpPU6zkEH4jiCtlxajz7m2UEdBznsMC8cYGwccTyPDvfJp9oyk8223dQ15abblrXV6siuhuV+8dLmx8gfLdeXJdjWUTr99GV8U0A0PJQmrp9Z5VnIi+A9GT+reTHb1IUXM7xcXjptC7U/Rb/nzB/ljet+n9f8+cvzMpeI6iiTCIZGGhy5fHF74ynsKmckjJEFCcsB4jbYkjbdbApjhKsvSyDTsX8GxU7x6DC9qowNHA2FR/IEcpxNOSMvIWThxXLxx9Ub6nOkzW0zcnQPpR1BiBcz3LbvMlt5CdvjTR1JwYvOUF40HS9aBC+ahheJ5yXh/iEizD1gDocvPXRqZIGoViARXPvtn/Ppt36580bC6YI4nkaFRgHDLQMINFmGhqgduMh7gnxiEnfnTm8PZGiI2tMOhqEG6gg8tRvGJ9Cx8U7ZrnpHnqgb2kQP31RniemqQoX9DE7d4bs71jM6L/PDhNUKJA8OOepg1FXqoU1nkuU06SQcHud+KoK3l+EI1PzjSfyP1J32U7ASTINEqB18IMwZRYeHYHzcO2VEHGrz5kKzhe4bgx1Pojt3ebKqN3A0/Q34Vqs9eAQPD4a6ltVNNg0vEpZtT9Xa+ArLlqZa0mTtQ09un90uwx54SSfH1zW7eSFFeHxds4kXEWF4zjAHHDSf+lC9S6G9oRpAIljxzOV8/a4vUDdd3xKW3KnTdTEPtU0F5jJVQZmaJpR3aAhGRjytnWzh7vMfGqo5Xpzvxqt79nUymysN433JdlfH+Db0xIuG5TRuuaE0xLfVao7I2m5LmZn7322B3wMvVtnCi5XHWccLKcLj65pNvKgqy1Yfyz9s/TKNoQF2451tuGvDfbzt5D+n2Q833rjZRsSkmLiXMjkJExNevrpxhHvEjVcCJQpMV4HWme89sc1+SjwKIb6+HsLLltO0pyxUvGSrr5+rhUHjReCejfdz/invGXg33lmFB+/5Leq6/RlALLMNVfUeBKz7Bx7W/DcHtn8u6ciuS/PRx6DVQhBk/jwvSl1aTzzpeV+1Wt6T6kLbhVebTWg1O8elRFZHvg8v7WNV+glbdUXN7IqaFfaZloqXjPX1c7UwaLwoTOyb4OFtj5b6aopqAIngGa84g3P/9KXUgn0If9ZgPaUzo501aRYi9TrOyIj3lkDfE8xxHJzgAUHxjioJZGdkhPqRR0CjASjuI4+C6+LUHJz58712NJvozqe84xAa9al9cASpSUd2BNDQERtdTybtAy/Z95diwqUTLmLvT6rTVbPwIhUvlb70iZd2vHDA0xbwvq++a8acxjtrkGix6fcMy0S3tsW0SxPik5EhUy+8FMxp8iRQ4wIzFNonJeg7L70WmqKkQId74XOaeUlljUrTPzM4Ay9pui9mmSWhcuON4Mff+hmXvu3L0/dGQhGo1XCGhz1ZFSYnjXNwvD0MVfX2OdSF4SHqhxwCIujYGO6TO9FmCxyH2vx5nvlLFR0f88JbLeOZEG+10S47aMMs1osKFfYXODWHq3asz7MKSTX0lOffNUNxxPGHIyLUh2o0Jwo4zkSgs9DT8I3ZuHe3UXOoLzwAHAdVF8YnQIb8PYmOh4VMTHhZnRr1RQv9QaWF7tnTeQFUo46Oj3vp1fWOKlFF0I4nlminDUF7ooOH2c64NhcNWx22dvRTTtPOslDxEo+Kl9i6hkaGOPCwhQyNVF5YfcPyNcfxtTs+T70w1zdjII/emGOUSRoNqPlvIzReABWC63ZcDht1b/9DBFouOm48AGlW3Yx31828+dePCyCrPaHaLE4O3995mS7Z1p6yoXD86Uv56u1/Tb1RPQfSN2z5xV28efmFYS+stBt5SekcJ37jzkwzaXhG1WpIrdaO77xXxNhIn2x23HhrNZyR4U6ZqgRa2y6H8IZdqr5llaNIsaFpewAMS7jp3pzuQcL8fe7rg2GmLPY+WGWzmNnEi5CSF1KE2+TZw4uIcO+mrbzhmD9hcqI8c3xlworg0d94hxFO7jNITzvTiIuLnj9lJlFo//qKd7S64+C2XJw5o95ehQjouPeechHQlvcRB8RzsW3ueNLf6xC00fCOKnEVHZ/0PLkcB9c/rC107lXavvUy60qTRyPBaR4kTPGQWE/vDLGU2X9ebH3OygWW9DOEl0iYnRdShNvk2cOLqjK+d5zJiUmaE83SHiasViARPPNVa3njuv9Bfaje5Y1myXLy7FL8QUD8MPX2LoaHcBYu8N4cKI63uhBpv+dD6jWceh3cFiKCM1T3jiwBaLVwd+4C/6TP9qrDdWFiElFjuhKdMQXBYnE5FAsXhfOSEF+UHOmzGd9x3WSweOkHRzOFl7T9KUqO8hKa9Qfh8WmmgxdxhEOOOoiPfOd9ec7BSo1qAIlgYmySB+7+LS1/z6D9w2ryD6hovJLHzjDipxqhmY+Ilyxal6mwfnqvacaF7BU2tc2hC79Tj/lazFizkVgUvmhekmZmEpFj6g01J9LmTpdtN0eTi155iW9fiJc42HjJwlFMvd1uXml4Me+UZv9T8SIF8xIX1k99McNj9MVqZsvMi+biRVXZs3MvD297JD5PQajceCP40RXX8dnzL+uDG68xCgR7FY2Gt4k+OoIctBDEQSab8OROL33w9kHX9Z4oHx/3NsQdB2d0xDNPNVvo5IS3AS+dVYiiHbffChUq7BcQR7hqx3rmLpiTOWuaRNUeSATHnno0jeEGrZZb2FsJzQ1sxF/0GRvcqvjvM5/EHW7gnngUNGrIRJOhB3bA6Kh36OH4hOfeC+jEhDfA1EBqDkw2vXcTNCfaLrriOKBu55mPWTxZyARzVlqhg4qXeMxQXupDdY4+8QiGR4dKq6OId6IPi8hXRWSbiOwSkU0i8hI/7hgRURHZbXwujuT9mog8JSIPich7ImU/X0TuFJG9IvITEVnSa3uTsPS0JXzpxk/RKOgIZAkdVmgZ1M3Nu/lzvPeXiyDjzc7zGsaAM9W9t2OyMk/atdUxK5BqfmTBLKMihIqX4jFDeVm+9jg+97OPDbwbbx34DfC7wAHAxcA/i8gxRpqFqjrP/3zMCF8HHA8sAZ4LfEBEzgEQkYOBK/3yDgQ2AN8uoL1dsfnaLZx/6nuYGLeYsKbYfIP/5p4C8TKGTb3WccWVmuOtIoDa7r3U9vovfBppeB9VxHG8vKree0KcGm3NDlYZIuHTdU3Ntw1eCZtxqZGHl+CsINMuHJWTbMqEu5bKhTLa7rxyNxj9HAReeupPVh67lZOTF8/fpAdenAHgpVuahP0Zq75YeBFHuGfjVv7g6Hfa72UFoOehSVX34A0EAf5dRLYCZwA3JWR/I/AWVX0CeEJE/g54M3AN8Gpgi6p+B0BE1gGPiciJqnpnr+224clHn8JxhMlxy15BZDbS9tCNuP219ztbLlqrdZTZEdpvGwSCPRB1gcYQ1IZoTUwwcfAI9THBadRwJifBbXWeEVFFWy205bVRm27ENNap26wjsT+9zLQy8uJ5FBsmPMPVOfT6T2JksL67JJULpa3dvbpZxpU7ILz01J+sPOYoJ/E6cjuZZiwvabmL0Wervridfpq8qKtM7JugNdnyHIKGZ4gbr4gcCpwAbDGCt4nIAyLydX9lgYgsAhYDm410m4EVvrzCjPMHqvuMeFv963yzmW7fvj1z+5917lre9fm3MjTSSDXLTfJA8txua94KolHzHg50Ou67pkyzyeSiIcaXLsKd20DdJrUndnmzD4JX3HqeIeaLoNqDBxCrpUnmqx5m4TYuMj+IZYaJJa0tvFt5eRBTT5pZaxodKYWXPOXlQcVLPHLyUuZ1JCIsPv4wPvn9ixidO2Jteq8odAARkQZwBfANf5XwGLAWz0R1BjDfjweY5//faRSx008TxJtx0fhYqOo6VRVVlcWLF2fuw+4n93D9f9zUXvZ1lr6d45mVzg+rGK6yyhRZXe2EB5vbtvSOwESz7bmr9Zp3dpVIxxPRlG1+5N2OjI6TxTh62iYTL9u4SOJlihyUo0a4pgyPk3vgJeTG2zaPJPOSRkeC37NQXrLIg8CLM2C89HgdJfJiuXZSXUc5efn/2zvzIDmu+o5/ft09x87sodW11upaSau9pLVlWT6wJZkchQnhSOJUCnAoUilSXKaCyR8YCggxh1MJBSkK4pQrJhiTUKFSOEBwSIiJcxASkINFgNgShxXbsi5bx54zs92//NE9sz2jmd2Z2Znp0c77VE3tb3q63/u9777u1+9WVc498wJP/PMPaOZI24YVICJiAQ8BWeBOAFWdVtUjqrqgqqeD4y8TkV5gOri0NxRMLzAV2NMlv5X+3hQe/8fv892vP1GoGuervmH7smpzpVnBAPiFiMZi/tazMcefXW7b4Pi2OI6/plU6TVwTpJ98kdi5eWJTHt66ftxsFs1m8FzXt3N+4aaeS37TJ3XdfD2/UGjVYmvJnuiX2bVqsZQurbS9ErsRWqxElyi1aBddymnUTlo0WpcKWjQ7v2Tnc/zVR7/E7FRoO+sG05ACRPzi7wFgALhdVSv12uRTKUG/x/PANaHfr2Gx6euH4d9EJA3sorhprOEM799Bz9ruxQ2cVoQiiRjWxvVYfb1Y6RRWKoXV24OkU0g8jgSFingKc/N4szN4/WnsBQF3AXnmJGRz/mKIuQV/wURPg4KjAS4aDIZVie1YTB4aJ5lKLH9ynTSqBnIfMA68SlULxZ2I3CgioyJiicg64JPAY6qab5r6HPA+EekXkTHgd4DPBr89DOwVkdtFJAl8APh+MzvQAbaPb+Hev39vY5ZAVpBEoqQdM1/tDD39XQ3arBRNJYOOdpC5YJHE/CcfzGobklsPZdp9DRhdwnS4FiMHdvH+L74L27GXP7lOGjEPZDvwZmAfcEoW53vcAezEH1E1BfwAyACvC13++/gd4yeAfwH+WFW/DqCqZ4HbgY8A54Ebgdeu1N/lePwbR3nHTe8lO5dbvtNKQm2PEmo/DdmSyyEoKkAqAcGkHivmYMWCPg7HxgomG9rTc9iXZsH1kISDxINhvBK0taoGbbAtvjuW04KQS1XoghXSSMAqsxXokkM0WbSLOjFb/dCoNY9Uo4uU0UWq06Uo/rAurabBulQaxrukLu2SR8I0Q5cy95FlWfz4iad5w863k50PbfHQYBoxjPcES/9LvrDEtRngt4NPud//CRhbkYM1Mjc9j1iC53mVU6WLf1XKt2FiWUjMwu2KMzvcx/zmXhIXFohfciHn+gXFi9OI64Hn+h1njo2oYp08j21fRFXxMll/dV1LCkN4q0JCflaya7muEqHftQpdCnbJ8MPC0NWSvUqWHaIZ9q8aaVqtS6nf9eqiWhxmBV0ui7/UblT66r2uTl0qDeNdkS7VELUu1KZL/rjneWhWUdvCqzS5uAGYxRRLeMmrD/DuB99BvCte300IhUmBeB6zI2uZ3bkGL2mjMcuf6JeI+eG5rr/MSf6G8Dz/NSLm+OflcuhcphBWTU1X9T5MqrmunpuwXhr9thi1LuFzrgRd6r3O6FKbXQ01pE1E2D6+hU9++6NXRB/IquH8qQs8/MlHyM5li6uNVLD1cjv/Fi22hTWVAfWFdm1Bg9YnjfkFh19FlYKtrl9QiB8JhSYrXcKHeuySYX/lhyJWaGapJo4yupSNu5pwajl/pXapFo3WpTRtRpfl0xaVLtWE06a6qCrPHDvJI3/+qN+a0iRMAVLC0cd+xJPf+bH/RVl6iF/BhiBnoMEeH2pbuBvXEkutIf1sDvvSAlgW2R4L69QF7POzqO3gzs6hGX9/c3fBxZvPsHDuBRYuXsKdmvbDcl0K1dSq/KnCLhn2F24qqTjkshlxN+P8FfpWpIXRpRBXS3WpZ8htveevJJw21sXNuXzt/m8wNz1PszCr8ZYwftNurhrawLPHnvf/QZXaMvO2WH7ncSzubycrgpfJQi6HnL2AuB729k3E5wQuzmKfOe/XNLI5dD6DiOB5LprNFiYA4QILCxSarJbzoR57Kaq4PujPryvu8LWVwllJ+FHqUmsaKmkRWfqvIF1q1aspmi5FRPdF/hzLtrjpldeRTJsmrJaxaecAd93/Fr8PBIozSqkdLCGiChJzyA9DEoIqo+tBuss/7oGVzSGKPyM9qFZqaIiuhgqMotmjS/lQr70UVVyvK4hbqwhn2Ru9jnhboUutGlXSoiZ9O1SXZfUq0WUlebbVuix7X1QRzvC+Id7y8Tdi2208jHe18Z1H/pv3vPzDZGYzJfM3Qma47dHx17ci7iCJmN+SlUr5Gzw5NjKfRTx/0p/2pSHY2EUScaxEzB/Ga9v4q+sWx1PRrpG6R/xW40sFu2L7bNEQxcXrituI64y/Rq5oXULnLBt/jbSVLlYVuoS1aKIudV/blPyyeG45XSxL+On3T/CmPXeRyQ/EaQKmCauE4iFvZV41EnHs/n7Ucfz9ynu6INnFQpfFpaEuMj0O3T+5QOp/X/ALl7iDZ1t4joWVs1Erv4y753eYL7j+HJEgLhE/R6gGVVG3TAdYjdXpop+XO7/a6nnZS4Wy226We21SgnTnD2n504vCWdaBttGl2JWwLsu8ToZ1KTmnIbpUwRWnS6XIGqxLTdc2+T7SkBHWpdAHE5ze7DnHpgZSwk2vvI57vnI3iVSibD62166FZNJfv2rdGkilwBKmhtPMDSTxUg7WhVmYzyILLl5XAi+/QdTFaeTSLADebAYveDMoWppdAfzRHKVzIpa1K1HL+Suozldem4eydtlnhoaOl9py+XXtqotW1KXSOWXC0SboUg3tpEv4/WkV61LrfVT22lD6VZWdV2/j/qMfI9Fl+kBaxqmnz3DfXX9BNni4F1Xn4zZeLotagC3g+TPM1RHsmQVAsRSy/Uk0P6N6dh48RVT9WgtBTTuYK+KHH/SdFHrI1D8eGhKYp9yqKNXaS1aZK1ahV2KXaaJZia1LnVO/nxW16EBdqsojDdWlwVrQHF2qyi/lfqs7vhWmX+EnR0/w2Q/8dVOH8ZomrBJ+9B/HeO74qUJpn/+bW58mt62fmWs3MdxznsH5S/zo4mamFhzcuMfMlhiyAOkzC8SSfeR2WcR/dgZ7Joscfw4VRabncV0XXBfN5kCDJU7Cs2oBdRVl8Z9e6xts3Z2xZb6vJL7Wrq5av59GF0JfarRLvre3Fk3OL0v8FoUunuvxr3/zbe66/82kg77XRmNqICVMHh5n176hwncRQZJJkhmLnqen+MP9X+Fz7/wy9979GD9/+Md43TaSjBObFYgJc4MO89kXcZ56FrI53PMX0NPnkDMvolNT6Ows5LL4dXMtfusodJJpXZMBV2JXXH+n1rBWMkGr1nAapgtFx8tNDDO6tKEuTZpUW6u9qEsFLarVpcGTHm3H5mVvfCld3VfIhlKrgfWb1/K69/wqiZQ/jDc/SgqAnMfQ8CyJ2AJd8RxPn12LIv7K6o7/T/ME4uczfpOVt7jkek0ThqTK8xv4ZlZ2XSatI6yVTNBaLpym6ULR8XITw9pal3rCXw26rCSPNPA+WtSlghbV6tLISY8C2yc282u/+8tYVvMe86YAKeE/v/o4H339n5CZzfpb0CbiaLqL5IDFmp3zfPOpXo7PpPnJi2vYuOUSdPllRGxKic0ozoUsXk8S4jHU8/y3uEIzlSwdeZ58XqjUtloFVbVrLxtIjeHValeIqyKdY5g1WgAACYZJREFUqEstGF0ub1JaYXhtq0sV/OwHz/D2G+5mftYM420ZsYSDeoqs60WHNqOJOLgemW4ll1CesuMcP5/hQq6Lsy/00HfkLM4LWbLdNnLmPPbpKX8+iOehmSxiBXuYo4WqrHqLneQFG38WeqH/L/9CJcVvgtVSdZvtkoFUCC+EUPxcX7RlMc2V7CD9WMFx7TBdJFh5oJwd1qWsFqHzw36EI6slSY3WpcIpTdclf84VrUsN904FXSwRbMfGcqzCEu/NwNRASjhw2z4+8W8fIj45jHYlwBK8hEN2Ic78TIILg3FmJE4s7uI8miV+OoO1oMSOn8Y+dQlU0fmMv5wJfnWy3Do4WmoXVYNZPJ9Fu22o8AAt2wm4VLU+r4vXobost1ZSqS6VmkrC8Yc0ipQKD1ujS3m77nungi6ep+y6dogHj3+KeDLe+HQEmAKkhOeOP889v/EJsqdf9Jcb8Tx/SRLPf4LNPpVCs6CzEB/JEvxnIRbawbDwmhwKuF5blzinHWlG04XRZWl7KS06TRetYC8Vb7tTpxbHHv8pf/Rbn/JHfjYJ04RVwlNHfsr50xchcw7pSmL1pmEmA4k40pdm6lMw85ku7J4LzD8xC3oBicXQTJl2xmqqvyuxK1FndX3ZsCrZYZqdZqNL/XYraGddKsVbiSjzS5g60+wteHzv0f9hfibTmcN4RWStiDwsIjMickJEXt/sOPf/wl72/dwebMdiy5Z+xscHcWI2m67qY2J8kFjMZl3fAMPpUWJOjHWb+th7/Q7iyRj9A31MHh4nkYrTt6GHycPjJLuT9KxNc/XhCVK9XaT7UkweniDdlyLV28XVt07Qs7abru4kk4fH6dvQSyKVYPLQOP0DfSS64uw9OMa6wX5iiRh7bh5jw9Z1OHGHiZtHGBjagB2zGb9pN4PDV2E7FqPXD7NlZBDLthi9YZht45uxbIuRA7sY2rsNsYTh/TvYec12xBJ2Xr2d4Wt3YNkWQ3u3svu6nVi2xfbxzYxeP4xlW2wdHWT8ht3YjsXgrqsYv2kEO2YzsGMDEy8ZwYk7bNy6nj23jBJLxFi3uZ+9B8eIJ+MhXRL0ri/R5VZfl+41aSZvXdRlshpdDoV0uWV0UZeXjHDVjo3L6zKxpUgXy7YYvnaorC479m5l5MAuLNti29iiLltGNlXUZc/Nozhxhw1b1i3qMtjP5MHxRV0OjYV0mbhMl3RfiqtvnaB7TbpIl2SJLnsPjdF/1RriyTh7Do6yfvPaIL+MsnHbepy4w3ipLrt8XcZuGGbrqK/LyPW7Crrsvm5nSJfi/LJ7/w7EkmJdxkt0uTGky427fV2GNjBRQZe9B8dIdMVZs9HPL8lUgt513Vx96wRd3Um6+5fQ5XCxLms29pJIxZk8nNclxt6DY5frErOZuHmETTt9XcZC+WXsht0FXUZLdNkxuajLrmuGfF0mtzG8P7iP9mwp0mWsTH7ZtHOAiXx+GfLvHSfusGHrOvYcHCuvy6FFXSYPjxfpku5LFevS08Wvv+tVpHq6mva8bPcayKeBLDCAv+f610TkqKr+sFkR9g+s4SNfvZuF3AJOzJen2HaxHQsRYSG3gO3YiAjugotlWwVbLMGyLFzXRWTRBrBtu8j2PA9VXbQ9xXb8/dI91yvY7oKLE3OK7Mv9i87Oa2F0MbpEpkugRafrEs4jzUTC44fbCRFJA+eBvap6LDj2EPCcqt5dTRgHDhzQI0eONNFLg8FgWJVU1UvUzk1YI4CbLzwCjgJ7lrpIRD4oIioievLkyaY6aDAYDJ1MOxcg3cDFkmMXgZ6lLlLVD6qqqKoMDg42zTmDwWDodNq5AJkGekuO9QJTEfhiMBgMhhLauQA5Bjgisjt07BqgaR3oBoPBYKieti1AVHUG+BJwj4ikReQW4DXAQ9F6ZjAYDAZo4wIk4G1AF3AG+ALw1mYO4TUYDAZD9bTtMN5GICJngRPB10GgU4dldXLaobPTb9Lemaw07edU9eXLnbSqC5AwIqKqeiWtgNMwOjnt0NnpN2k3aW8m7d6EZTAYDIY2xRQgBoPBYKiLTipA/iBqByKkk9MOnZ1+k/bOpCVp75g+EIPBYDA0lk6qgRgMBoOhgZgCxGAwGAx1YQoQg8FgMNSFKUAMBoPBUBemADEYDAZDXZgCxGAwGAx1YQoQg8FgMNTFqi9ARGStiDwsIjMickJEXh+1T61CRO4UkSMikhGRz0btTysRkYSIPBD8z6dE5Hsi8ktR+9UqROTzIvK8iFwSkWMi8qaofWo1IrJbROZF5PNR+9JKROSxIN3TweepZsW16gsQ4NNAFhgA7gDuE5El91VfRZwEPgx8JmpHIsABngFuBfqA9wNfFJGhCH1qJfcCQ6raC7wa+LCIXBexT63m08B3o3YiIu5U1e7gM9qsSFZ1ASIiaeB24P2qOq2q/w58BXhDtJ61BlX9kqr+LfBC1L60GlWdUdUPqurTquqp6t8BPwM64iGqqj9U1Uz+a/DZFaFLLUVEXgtcAB6N2pfVzKouQIARwFXVY6FjR4FOqYEYAkRkAD8/dMyGZCLypyIyCzwJPA88ErFLLUFEeoF7gN+L2pcIuVdEzonIt0Tkpc2KZLUXIN3AxZJjF4GeCHwxRISIxIC/BB5U1Sej9qdVqOrb8PP6IfztoTNLX7Fq+BDwgKo+E7UjEfFuYCewGbgf+KqINKX2udoLkGmgt+RYLzAVgS+GCBARC3gIvx/szojdaTmq6gZNt1uAt0btT7MRkX3ALwKfiNqXqFDV/1LVKVXNqOqDwLeAVzQjLqcZgbYRxwBHRHar6vHg2DV0UDNGJyMiAjyAP4DiFaqai9ilKHHojD6QlwJDwP/5/366AVtEJlR1f4R+RYkCTdmdcFXXQFR1Br/qfo+IpEXkFuA1+G+kqx4RcUQkCdj4N1FSRFb7S0OY+4Bx4FWqOhe1M61CRDaKyGtFpFtEbBG5DXgd8M2ofWsB9+MXlPuCz58BXwNui9KpViEia0Tktvy9LiJ3AIeBf2hGfKu6AAl4G9AFnAG+ALxVVTulBvI+YA64G/jNwH5fpB61CBHZDrwZ/yFyKjQm/o6IXWsFit9c9SxwHvgY8E5V/XKkXrUAVZ1V1VP5D34z9ryqno3atxYRwx+6fxY4B7wD+BVVbcpcELOhlMFgMBjqohNqIAaDwWBoAqYAMRgMBkNdmALEYDAYDHVhChCDwWAw1IUpQAwGg8FQF6YAMRgMBkNdmALEYDAYDHVhChCDwWAw1MX/A5w2bmLqUqFFAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.hexbin('carat', 'price', data=diamonds)\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks ugly because the bins with zero observations are still colored. This can be avoided by setting the minimum count of observations to color a bin." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.hexbin('carat', 'price', data=diamonds, mincnt=1)\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The distribution of the data is not more akin to that of the scatter plot. To know what the different colors represent, a colorbar needs to be added to this plot. The space for the colorbar will be taken from a plot in the current figure." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "# Assign to a variable to reuse with the colorbar\n", "hex_plot = ax.hexbin('carat', 'price', data=diamonds, mincnt=1)\n", "sns.despine()\n", "# Create the colorbar from the hexbin plot axis\n", "cax = fig.colorbar(hex_plot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the overall figure is the same size, and the axes that contains the hexbin plot shrank to make room for the colorbar. To remind ourselves what is plotted, axis labels can be added like previously." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hex_plot = ax.hexbin('carat', 'price', data=diamonds, mincnt=1, gridsize=50)\n", "sns.despine()\n", "cax = fig.colorbar(hex_plot)\n", "\n", "fig.suptitle('Diamond prices')\n", "ax.set_xlabel('Carat')\n", "ax.set_ylabel('Price')\n", "cax.set_label('Number of observations')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is now clear that the yellow area represents over 2000 observations!" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Price')" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bJ9oGtIrZ3wpY4f68InafiCQB9WP2e/wLDG52MxOuepahJ97BNx/8FN3e67puGKb+s1r182oeufwpug7qtFuYKhrkiNmWsSuLvsdeS9h9oCWVS+TiW3uSWDaB03q1JSk5kV7XdY+G1qIpENcY+AImNepVQ0Ro0rYBxzY5psSxn3LeSVSpVQlfwMf5154T3b5w7hIe6PEQKi0LlMKuWKawf6VQSoFpFMYKI5fi5omUZceEFt0LdhxAEYgPULW2DsuocFj3JW7YTykMA4addAdb/trGn4vWcF2bu/j0uXlc0fgmGrepv18ezSk9TqJC9fJF7nPV4yrTqmOzPR6Tn5NPv9rDeGLoVAY2uoGVP68u1bl6XnsOgYQAACmbUxnS6rZSj/PoRrBL+TlaONie0RSgKdBTKZUf2Sgip4hIYxExRKQS8BQwXykVCc29AowUkQoi0gS4Gpju7vsQaCEivUUkHhgFLPXEC/8uKZtTKcgpwLEdtq/fGd3eud8ZVKhaFpRDqCDMlr+20+u67sXyCUJJEQrbUigEO+wgpnDiWS1o3KY+AOuWbeSRgU/zx0+rOblrKwzDcMNehR31GHI2wx6/gva92nDpnf8jISm+SP8b/tjM+MHPsOzbVUz740k+2PUiQycMjO7fuSEFHAdjxUbiNqXjy3MgOQni41CWpW2L7YDfRAko20bQRkrZNsqycAoKIBzWxst2cCwLZTvUaXEsfW4/X196KIQqyEcFC/RxSmGHwgiwY/1OPnp6DlbYpiA3SEFekJRNu3hx5FtMvmk6u7am7fO7qdP8WE77X1vEfSnwx/sZ+/Ht1KhXDYBf5ixm7CWP8/3HvxDJGRfkBsnPKaAgN4gVsvho0izycwv2ea7Ofc/gkjsuQAwhHLTYubF4xNyjJBQ6RVqaz9HCQRMwuHN/1gNBINaXHwo4wENAVSALLWC4Qym13T02Dm3ILgLygXFKqcdj+u4CPI2Wfv8EDFJKrd+f8XkChv3jhxmLeHn0OzQ9pSFXPHApya4XcdmxQ0nbnoFSiirHVmLUO7dy0+n3YltuhFx0sMr0mfS+6VxmPPs5+blBQBCfm4exwogIvoDJuVd2ZvjEK+hZdgBBN2dkmIbuzw0HiiEcf0YTLrmzF6MvnECoIIw/zs+URY9Qu2lhMcoLq1xJbmYeps9k4P0Xc8ntFxS5ptysPCbf9hpf/rgBELCVdnDCFuTk6bEFg9rbCIW1UVFK55FwPSSj8PouvPFcZj43j/zcEIaA4zhFRQvRcJ9m4KgLCYUs3p0wAytkYZgGN0y+ioVzl/DjjEUopWh4Uj2e+v6BvX437074hJfufYtwKIwhBtc+NZjzh3VFRNj851aGtLqNcDBMIN7P4wvG0vhkbfDnvPQVTwydimM7+AImvW/uyZUP9d3n30Lmriym3f0Gf/26lkFjL6Nt9xP3ecx/gANyWVocH1DvfFo6ZWTz47Z6AoZ/EqWU+z98j7y5l2ODwGD3U9L+eUCTAxqgx37Rvmdr2vdsvdv2QLwfwxTssCIvK59X7n8HK2wVkRX7Aj6OaVCDY5seQ9jNF/n8Jo7bRhst/XD3BXxMvvFFCvKDiEj04wv4CRcEMcTAcRwyd2XjWDZKgenTHsGODSk8dvWzpG5NZ9hjAwnE+SnwGVGxwPjBk/nh4184Z/BZXD3ucpKSE+k/6iK+uWAilu2gbNdwFHtfE0C5UTjTNLDQ57QdEAUYgmM7bFm9nXBIq+5sWxXmiJRWxxk+M/qz6Te5dMT/eGfCJxiGgS/gp1KN8px7VWeWLvgDw2eA0vd3byz/9g/efXwGViiM6TNJrliGC2JCkabfBBSmz0AB/kDhI+CcK87kjYc/IGVzKoYh+zzX3FfmM+2uNzi2cU1unTaMGnWr7bW9RyF60uvRE4IrDYdM2n244XlG/wxZqdlc3+4utq7ZAegHrVKqMJGvoFajGkz6/gEurTUkKn0+4ayW9L6pB6N6P4aybAyfQZe+Z9D9qrO44+yxhAtCmH6TAaP7UPmYSqz/fTMdep/CzWfcGxVAdLuyM+cNPZtPn5/HBdeew0dPz2bO9PkAlKuczHNLxvPpc/Oo3awWCDzSb6L2ouL9PPvreI5zc0xr/9zGNX2nQFgh2bmQV4DKz0cMAycvHyPg12E7y6ZspbI8NHMEd57zALlZ+VoNiNIeUHTOkfvQcZyo4MHwm3S+7HTOuKgdv8xZwqW3n49t2ZSrmswvsxazZfU2egzpQrnKyYSCYea9uoCCvCDdB59FQpmi4cdYbjx9JL9/r4UKlWpWZMqicVSoVr5Im7VLN/DR07PocXUXGrdpsNv3N/O5z6lZrxpnXNQO0zRLPI9SivOS+hEq0F5hv5G9GTTm0r3+bWxbu4OKNcoTlxC313ZHCAdkSZodH1Cvzaxeqrata286Kjwjzxi5eMbon+ONhz7g9Qfe0w6F66k46ByPFbIwfQbnXt2FjSs2suy7VTi2flOPSwiQm5kPbs0uX5wff2ICwbwQgiI+weTaJwcz6bppWGGLhDIJ5GTkRkNfhs8gISlAMC9EtdqV6XX9uTw/4nUsSyGG0KRNfR77YhTLvvmDe89/hILcIIZpUL5qMtNWPEmZ8klk5RfQ98k32bgzg+Rl6ZT5MwuJ+T+iCgrAslG2DaEQIlCmfBI56bk4jkJMA+UolK1zTIgghpanY2ujKa5hNgMmPtPEDtsklIkjPyefQHyAB2beRYvT/p6j/9LIN3nviZmAFpNcPa5/kf05Gblc3+4utq9PoVKNCkz68aHdjNW+yM8t4Ib297BhxSYUCn/Ax8i3buHUC9rs8Zh7L3iERXOX6OubMYIWpzfd/4s7vDggY9T0+Dj1yszSTSdpW3vDUWGMvGXHPf4Wedn5fPrc56z65a/d9l06ohfXPnkFgx+4jGcWjaPb4LOYumhcdJ6MbTl8++HPjPlkRPRBaIVt7VnEYIWd6Ju3Qnh8wVjWLFnvJtltstNyCnMwgBO2yc3IwwpZbF+fQtmKZbjy4X74Aj6Uo1j5yxrWLNnAsgV/UJAbBMAwDV5fP4Uy5ZMA2JKaxfaMHJRA/I58N7UTI+22C70bAMdRZKXmRA1RodxbjymitCuUcROVAVpBi2BekHDIIis1m3DQIi87n89e+ALH2XMRzdzMXGY8O5e/flu3276BYy5hyPgBXPVIP7pf1YWPnp5F6rb06P7t63eyc9MurJBFRkomG1du2eN59kTq1nS2rN6qJ/vG+bn1hWGUr1aOz174gpTNqcyYMod1yzdG2+/akspPn/5KOGiRn53P8m9XsvnPrXz09CwyUjL3cqZC0ndk8NHTs9jyV8ly/f3BcRx+/HQRX7/7A9vW7uCjSbNI2Vx6Ofs/haOkVJ+jBc8zcvE8o/3jkppXk5uVh1Jw6/PXcFbfM6L7nrxmKl+8/g2OowiHbPxxfqywjc/vIxwK4/ObXPvkIN6dMIOUzbuwQnZU1YWCRifXY/PKLSSVTyKubCJb1+xEAEMUd79+A1Nuns7OTalu/kURfcorpZM2CgxDMAM+bpx8NZ+++BWrflkT7WPEq9fzyuh32LZuJ/1G9qbvXRdGxx4MW4x4fRbzlvxF2b9ySF6aithatacMA/LytAF0bAiGCsftaO8Lw4juVzEGSilHh+mUonHbBqxdupFwyIrapyZtG0Tl1IGEOM7qewa3TB2y2313HIeLq11JMD+EUnD36zdyWq+20f2PDHia7z76Gcd2sIIhfHF+BHh17WQqVCtPKBjmkf5P8d2HP9Om2wnc8+ZN+105wbZsxl8xmflvf8cJZ7ag3Xkn88KI11BAuEALIxRw/4d3ULtZLQY1vgErbOFYDrUa12TA6D5MuGIyiGAYwhsbn6VshTJ7PF/mriz61blW32ulePLbB2h4Ur39GnMsk66bxuevLcBxHEJ5QZ03E2HaiieoXqdqabs5ICvR5Pg49eKMkqceFOe0OuuOCs/IW0LiMCIrNZs3HnqfnRtTGTC6D3Wa/zvlW/4JstNzCAct/HE+MnZmFdmXui2dUH4YxzUUofwQYpqEgmFQDuUqlcMK2ezcnI4ddkAMwIk+0Ltc3oHl36+iYvXyWEGLLSu34CiFmRAgvkwcjdrUJ2VzqpZ2i0FJJYQcR2EqhW3Z3PXKcK5oehN2yEIZwncf/8LE7x8kPilut5xInN9Hz7oN+O2t35GQDycpDiMviMrN14YmGMLw+6JGKCLMUK5aThx3UqwI+Ny+lYpOsxKfSee+HUjb9gkpm9NQKAIJATr3O4MNf2wmLyuPYF6QH2f8wkctjuWHGYs4/szmpGxIoSAvSL+RvcnJyMOxHQLxfjJ2FvUsUrelESoI63sDhPJD+ON85OcUUKEaBOL8dLyoPVmp2XS4qD3xxeTva5as59Ux71KtdlUSysaz+td19B3xP5qf1jjaxvSZjHj1Bm6fPpzUrenc33s8oYJQVGUfzA8RSAiQmZJFXrbOozmWHu9t064lJz0HMYRgXghfwEcwP0TZCnv+WyvIDeJYNuGQRVxCgKzUvc9n//qd75n53Oec3b8jZw/ouFtNvrTtGQTzQ7qkk1KEXAOam5m3137/WQRbeYGpWDzPyOVw8IyeGv68DtHYDtVqV+HVNZMP6Xj2xpKvV/Da2Pdo3r4Rfe7oRWLZwrfrnZt2Mebix/hz0TrtHbg5EuXYoBytiPPHJLEFcBwcd7Kr4fdpLyMyV8d2QOD6SYPZuSmV9x+fiWXZhYYgxquKdmkIPYd24epH+xOfGMf8t7/j4cuf0rJlv0n/+/rQ9+5CjyjC+g27uPq66YTDNoGUXAzLQcIW5OmwHvl67o0KhVDBUJFzRq4PhStTF/27AI6KGgilFKJlDoXHx65tU0z2bRgSDe01OKEOVz50GW889AGtzmzOxbeeT3xi4b3ctm4n00e9jR22Oa5pTX6dt5Tzr+0WLRy74Y/NDGt9h/ZgEgKM/+K+IoVsLzlmCOnbMxDT0IIN9359lvd6iX8Hd3Ydy5L5y3FsRVK5RPrecyE/zFhI224ncuFNPfDH+fni9W+Y+excuvTvyLlXd8axHT55Zg7fvPcjF958Hme4VTX2xtfvfM+Hkz7jzEtP47xruu5RWLFx5RauOfF2LV1PCDB+3iiatW9cpE3K5lTG9nmclT+v1l6swO0vDi/RcO2FA/KMGh8fr577pHTlnTrVXe15Rh4Hl+RKZfH5feCHshX3HLYAWPH9KsYNnExuVh7XPXUFZ15y2kEapaZVx+a06ti8xH3b1u5g27oU1xAJWu0s+s05YjeUKy9WrrxYKYK2NjDKcRBXsq1sJ6rI+/zVr1m/fHPUECml3MmvxSoiiC5C+sdPq8lKzcYf8LHo86U4ti6iavjMPd7fhIQAItoAKEOK9QtKXDMSkxdCKVekoK/PF/DjKJ2PssOukZGiY4utSCHuvRFD9PgMA8MUwkEbX8CPbVn4/CaGaZBcuSwndTmek7ocX+L4N/+5laXzl+PYDjs2prDmt/X8Om8ZHS9uj+kzSUiKQwB/nB+UIim5aIiubMUkstNydAhRaRl+7ItGLB9M/JQl81fg2JFySDrn9/j8MdE24VCYhXOXsGrhGipUL0/ny88gISmeC2/swYU39iix35Lo2OdUOvY5dZ/t4pPi9PdnGoTyQzwxdCqjP7idYxoUigWq1KpEr+u78/hV61FAfGKArgM7lXos/wRKCSFVskE9WvE8I5fDwTNSSvHzrN9I25bOWX1P36sE9v6LHuPbD38GoEa9qryyetLBGmYRtq7Zjs9vUvW4wgl8I7o/yK/zlhU1Eq73E4vh9/PI3HvYsHwzCkW9Fsdxe+cxKMdGfHqOi66yYGtvI/LAj/QH0VI9eltMWW/0nJr+oy6mXY+TGH7K3dhhC8NncOmdvRg05tKoQVv1y1/Ubn5stGLDlq3pXD5wKlgO/h0ZSGYekpcPcXFQEEQpBxUKo0JhxDRRVhh8Pj1dXimObXIMoz+8jaEn3qll59G8kl04RsNwSwEV3hPDZ3DF2EupWb86a5dtpOvAjnz/8UJOPLMFW9fsIJgfomOf9tG5QZv/3Ep8UhyVj6kU7WPoCbexdukGfTtiKopPWVg4AXjHhhQWvPcjp15wcvQhHSoIsWbJBmo3O4ZrTryk+cHXAAAgAElEQVSdbWt1VY2KNSowbcUTUYFHBNu26VmmP+Fg0Ype/jg/n+W/wYY/NlOmfBIZOzO5of3dhArCxCUGeHDm3bTqVPJLzN+hpO9vx4YU+tcfjnJ0AdorHriMS0f8b7djf/9hFX8uXEuX/h12u75ScECeUaOWCWrSJ3VL1bZbvT88z8jj4CIinHLuSaVq26b7Cfw8ezEoRfueh+bvdOrtr/DJ5NkADBjdh0vu6AXAKeeexNKvf8cKu8KEiEckhTFyIy6AGMK9PcfhhMO6QneZMphJCdjBcNRwmX6TuLgABQUWILrqQqT6tRu+ipYFKvZiZYdtXhvzLq8/+GG0eKtjObz32AyatWtE666tGNb6Drat3YFpmkz4ajRV61fn5htew+eAYyucSslQNhHftgwt8RZBlEIFAhAMUuRlzvVstm1IYfjJI3TYMWKAo6FEtw8pFqZzxzZ91Nt6EqxpsG7ZBu7/4A4A6p9Qp8i1PTX8Bea89CUAQ8b354Lh3bm7x4Ns+GOzvm8+g0BCHLZlU7lWJSofUzF6bLXaVbj41p7R3zet2sIN7e8hHNKVLyITkU2fQddBnXZ7UOdl5zPk+Fux3WU0opdvGrTuejyPDnqar9/9AZTi6kf7U7FGBdK2pVOmfBK1Gv9zBYlty2ZY6zvYumY7hmkw4cvRNGpdn2q1q9C6ayuWzl+B6TNp2r7k9bSatW+8WwjvYKEnvXo5o1g8Y3SEcu6VnTn1/DYE84KlXnDtn2bR3CVR6fWv85ZGjVHPa85m8fzl/Djz18IqBrG4MmmlIJQf1AbGNHHcvmI9qFPPb8PIN2+gR5kBOLHrHZUSK2yDXfShHyoIs/Lnv0hKTmTDis1R72Ht0g1QNpHsnAIt1XbHKpZTNJcQ9cCKhfHcsJ4dtrGKPaj1YdoTi7SLrcgQwQ7r4yxgyVcl1/pN35HB/He+K7z3XyzjguHdWfr1H9Hjj+/YnPs/uoOtf22n3vG195oL2fD7ZsLBcJH1kwA69+vAlQ/uXg4obXsGadvTddgzMqkZqN2sFmM/HsGltYYScvta9fNfvLx6EuuWbaROi2P3mOv5OxTkBdnw+2Yc28Ef52ftkg00aq1LGz382T1sXLmFKrUqHqbrLHkChuJ4d+MIpnyV5ENmiACuHnc5VWtXplajGvS/r090++NXP8tC12sTkehaQFpkJgTiA7Tu3EL/Hnk42baWQysVbV+9bhX63f0/DMNgyKOXY/oMvZJqseeqxG4r4ZkraEPR9twTSa5UlmanNqb+SXW589yHdRVuoOXpTTmlx0nUrVuFs89uoQ80RI/LABxLe2CWFRUiRENsEYl5JGkUO6fInXpUtlIZWnZwJ3pGvCTD2N1IiB6rP87PsCcG7XYttu0wsPGNenKwQOVaFbnMDUENe2IgvoAWfyz//k8euXwS9VvV2WdS/sSzWtC6a9EcVK3GNXVh1xKoWb8aPYZ2JaFMPMd3akb1ulWpUa8q1zw+KDqOitXLU79VHXrfch6GYVC/VZ1/1BABJJZNoN/I3iQmJ3BSl5accl7R8lTHNTnmMDVEbqFUjFJ9jhY8z+gIZOXPfzHt7jeocmwlBj94GZVrVtz3QftBVloOL9/3DmsWr2PQmEs44cwWJbZr0+1EXl83pci2Fd+t4qdZiwkFrcLyN+KqygwTIymRstXK06h1XRbN/k2Hz9yJobZl6TyHbWMIVKhWjs9emMeqX9bQ9twTMU0hnGehY3SglFlY3QCJ8TKKek/KcfAFfJwz6EwenHk3WWnZPH71s4TzgyiEQGIC/e/rw5Sbp5OxM5PG3drgyw3iODbm9nQoCKHCFkqBEwoijhNVvCk3dCimzs+oiEckWsYtbh243jf1ABGWLlipjZmhx6zEAImpPi6C6ffRpvuJnDPoTEALQl4Y8Rr5uUEGP9jXlW4rAgnxDLjvEpq0bQhAj6vP5pv3f2bx/BU4thMVFIBWOE676w0yUjK56uF+RebpJJVL4pbnh/HzrKFYIYu4xABDHu1P7WYlTy0wDIPhT17B8CevYPOfW3lhxBs4jhMNBXa8+FQ6XlxUbLBw7hJecQvr9r/v4r+To9kNEWHAfX0YEPMidCRhH0UTWkuDJ2BwORwEDKWlX51r2bkpFcM0OGdQJ255bui+D9oPXn/oA169/z1syyahTDyfZL681/aO42CFbQJxfi6uOYTMlCxQTmG+yMVISkTi4rRcOzu7qM0wDIw4vS6OCroyate+OLGhvpiEf0Q+rRw7GtpLKp/IsCeuYPIN08jPLoj2EylL9H7Ki3z41CxeG6uvzzANxs64i3mvfs3Xb3+HigsgjevpCZk70yEc8Yi0kVF5eYV9FntrVbYVXc3V8Ov3PMM06NL3NE69oA0PXvrkbqGwqAFVhRXIW5zelHvfuYUKVcsBcM95D7Fw9mIcpajfqg43ThnCuxNm0KpTM7pf1ZlAXGFB09Rt6bz1yEc4juKyu3pFX1Qevnwi89/6DqUUNRvWYPrKp3b7Hhd/tZwPJn7Kab3a0qV/h716MqGCEIH4ALd1HsPSBb+DgmanNuLJBWNKbH9u/GWEQ1oVOPjBvlx82/nRPo5QDsiS1G+ZpB76cM/rS8VyacOFnoDB4/CkynGVyU7PxXEcqtct9YzxUlO1ViVMv4k/3kfFGnuZjQis/Hk1Y/s8TsbOTPqN7E2VWhXJy87XOQOl8AVMbMvB9JnYto0oFZ2nKobEKO50eMv0+7BtE59pRCdS6ryE44boTDd65riitMKcRSAhwAmdWnDOwE7Mf+s7ln+3EseytaGM9+ML+Pjh00W89ejH2K483LEdPp06l1qNauCPD4DfxBLB8BnYpoFhi17gBB1yVJFF82JTRkph+AyUmIhyl7dQWsnl2A4/zFzEj58uIpgfKsyxRI2Qlk/b4TBxCQEcR3H+sK5RQ/TmIx+ycI42RIH4ANVqV6HpKQ0Z9e4tJX4flWpUYPjEK3bbXq1OVfzxWjRS7biSQ7snnNlij15whJTNqYzqNZ61SzfQue/pVKtdmbiEAAh7rV5QoXp5slKzcWyHxOQEbmh/Nyt/+YsOvdtx1+s3YvqOLpmzJ2DYHc8zcjmSPCPbsvn+44VUqF7ubxfU3Bc/z/qNFd+vou89FxK3l7fXKbdM54MnPwW0V/Lu9he4svktWhqsFJWPqcjkhY8wuOnN5GbkQsCvq16HLVQ4vNtD3YzzM33lk4w872E2LN+kt7uCAdNnMmR8f9J2ZPLeEzP1sgyOinpFLc5owoMzR7Dsm5W07NCUmc/OpXzVchzX5Bjmv/M9/e7pzcie4/j9hz+LeFj+OD9Tfn2UzJQsstNyqNemAX0HTiGY7CNhyWbMHdkQCoHfp4ujukZUReXmDqbfz41PD+av39bx6XOfY1tu+DFWzh470SpGhp5cuSzTfn+ShbMXU79VbRKTE9m5aRctTmtC7yqDyU7L0dd3ehMem3+/Nsr7IGVzKltWb6NVp+ZRA7jsmz/ITsuhXc/Wfzt/M++1b3hi6FRCBWFMn8HbW6ay4L0fcRyH84eds8f8VKggxIL3fqR+q9ps+Ws7j1z+FMF8XYFh+qqnDmnu829yQJ5R3ZZl1JgP9m74Iwxo9NNR4Rl5xsjlSDJG/zbffvgTD/ebiGEa1GlxHJN+eGiPbRd9voQxFz9GuCBMtys7s2X1dpZ98wdhtzr3wNF9+PyN79mxIQUrrOXZABhChcplSN+e4eb+FdgWps+MVmywwhaGaYIIjrsmkphu6M5ywOdzvRsbHO2F4Tj44vxYQb2ej+1oKbU/4KdsxSR639SD5+98PbrsBEDDk+rw2Pz7SUiKJyMthyt7TyIvL4STnoMUhPTienk6/xIxoMpx9DISkcsxjEI1nWUjpqmNgF1UVVehajJpOzKjNskwhctG9Iouv/DFG9/wxNDnMEyDxm0aULtpTWZMmYNj66KkXS4/g1ueH1b676/5sUz68eFSfvP7ZvOfW7m9y1jSd2bS8vQm1G9Vm5nPzgWBc6/qwrVP7u6VFWfHhhRuPfM+dm1Oo3Gb+oz/cnSRUOMRwgEbo9EflDxxuTiDGv2wX8bIXYz0GaALUBH4C7hbKTXL3d8ZmAwcR+FipBtijo0sZJoHPBq7kOm/iRem89iNdcs2Eg6GUQrWuRMo90Trs1vxzrbnycvKp0K18lxY5croPJUGJ9Sl3vHHsWXMB27rwv+/gTgfI16+locHTCZ9e2ZUgWZbti52CnrejllYYUELBArnExnuW3gk4mUFtbjBCtuIuLJu0X3YYZtwMMTZ/TuQviOTt8d9pKs/xPl55pdxgM59ffnuj+TlBHEchRG23ehh0bCaOxj3X1wxha6/FltVwf0h2rbhSXUZ8cr1DDt5BEG3vFCHi9rTvufJTL7xRTpe3J41Sza4NfxgzeJ1jP/8Xjas2MTir1YQDob546fVe/0+8rLz+XTq51HZ95+L1rL617X7VVg0P7eAWS98QUFuAedf262I2KBWo5q8tm4yqVvTqHpsZW7ucG80D7avseVm5vLJlDkE4vxMXTKBnLTcI9Ej+kdQin9T2u0DNgEdgY3AucA7ItISyAE+AK4CZgBjgbeBdu6xo4GG6FWzqwNficjvSqnZ/9ZgI3hBS4/d6Db4LNqddzLV61Th1mnX7rN9XEJcdCmI2164hvgy8Ygh/LVkHfeePw5lhd28TkT67BDKyePObg+RlapDULr2WjReBwLHNqpJy9PdMKQ7wbXpqY1p1ak51etVpXPf03TdtuLSbtHlY8pWLKM3u6V5rh53OWUrlOH8YV1pd15rqtWpwu0vFXoZ89/+gWm3vYyzfZcu7lk2wZ2YqsB2YiTdKjqeyHAjBkcEEsrGc+alp7q79bVUqlmBIeP7M/TEOwgV6HWQ6jQ/lm5XdOLmDqP4ePJs7uw6luM7NOXkrq2oUa8atzx/DQBDHxtI01MaUrflcVz/9FV7/S4e7jeRJQt+jw7NsR1uPO0edm7atc/vMcKTQ6cy7e43eP2B97n3gkd222+aBlWPrQzANY8NpGHrejQ4sW6JUvRYRveewGtj3uPFkW/x+JVTjlpDBKAQwsos1We/+1YqVyk1Wim1XinlKKVmAuuA1sCFwAql1LtKqQK08WklIpF4/wBgrFIqXSn1B/A8MOgfuOR94nlGHrtRpVYlxnx8Z4n7HMfhzYc/ZPa0L+jc7wz639enSPLZnxDAF/Dp5bbj4zDKmDjZOe58HUGEaFgNBbZbf65o9QTB8PkIJATwB3w4lrsoHYpAnI/4hADxiXHEJ8Tpwxx3PpMZrY1NQnIS/oQ4yC7QoTKlQ0xXtriFYxpURwTi4n0s/2YlL418kyZtG7B2yUbC+UHEzENMPyTGQ3ISqiAIuXnaGDmWHjsRW6TzMdFwt4DPFLr278DCWb+Sk56L6TPodV03Gp9cP9pW14fz6eXEIer9VapRgYdm3lXknjc4oS5P7SVUWvT70ffV8Jk4tqP7jTGWpcGOLJmhVMmTlmMw/SbxiXE4joqWKVr81XKevfVlKtWswPCJg6lZX69o6liFCsu9rdd0tHCwBAwiUg1oBKwAhgFLIvuUUrkisgZoLiI7gJqx+92fex2UcXo5I42XMyoda5as54ZT7yGUHyIuMcAjs0cWWbXzohpDyE7PhbgARkKCDl+l62UODENo060Vx5/RlGl3v4ETqWRd7G/Q8PuLlPnRD9SiBUd1ZWx/4S/F+ohMplW27VbTJqYcUcRDi2kfUfb5ffiqVtXnT04E00Tl5sGOVD2WiOzcHUv0YQ9FRBGValbgiQVjefORD2h4Un3OHtCBUEGYlE2p3Hj6KIJ5QUSEMy87jfOGdGHuy/M589LTaNquEWJIkUrc+0N2eg7vPT4D27JpeFI9Fs5ZQrfBZ9H81D2XvbHCFvk5BdE1hXKz8vh48mwKcgq48KYelK9Sbo/H3tJpFMsW/AFAs/aNmPjdg/StfQ0pm1IREboM6MAdL10H6HWJPnzqM/xxfnpd142kcgc+1+gQckA5o+NaJKs73itdGuj6pl9tA2KXhb1fKTW6NMeKiB+YBaxRSg0VkWlAilJqREyb79Ae0BfosF6C6zUhImcDzyul6pRqsAeA5xl57BcVqpXD5zcxTV2UspI70dEKW4w872Gy07L1Q992YrwF7bE4juK3L5bS4cJTSCyXSH5OAVaBTvD7Az5dpdvN0USXh3C9Hj2vNaYQqpunEUOinkoU0QKDiBACBT6/iUJXNggHwwhKe3BBi0C8n2BBSFfG9vt0VQZDdEkfw3CLmrp5o1hptyvLVrYehxXUuRN/vJ/azY/lvSdm8PkrC1jw3o+8eM8b5OcUULlmxWi+SCnF/Le/o06zY7j1hWF8/Mwc7us9ARGDGyZfSZd+Z7C/fPvhz3wwcRYA10wYwK0v7F3ssHTB79zfewL52fmcf103rpkwkKTkxCILDu6N+q3q8OfCtQhQ7/jaANRpcRzZabkox4luAyhXOTkq1PDYL89oq1Jqv4v6iYgBvAqEgOvczTlAcrGmyUC2uy/ye0Gxff86njHy2C8qVq/Am5umsujzpZzUuUX07TZjZ6ZeTiCslWQqHIaCIBIXcMNk2rsJ2sLM5+bx/JLx9Kt7nTZcStH58g70GHo2N5w6stCQRNZBUgp8AcSOWREW9MRax9jdGOmd4BQaRNPv45U1T/PJM3NodmpjBF0t4uLberL4y+U0bdeQjJ1ZZKfnUKPRMQzo8gjYCpWaoT2jYFB7YoapPSClUCiSkhN5ful4rmh6c9QY1ahbjZFv30yfGldjhawiyr0dG1L0D65hdSz49Pl5XHzb+bz72AyCebqPuS/P57RebfhxxiJadmi6W5UNpRS/zltKUrnEaAUGgNkvfhVdUn3Wi1/SY0iXvX6f33/8S3SxutnTvuSaCQP3/gdQjOETB9O53xk4joqui/TgzLtY/NVyylctR90WpVuz52hDR5f/vTCd6Le5aUA14FylVKS8+gpgYEy7JKA+Oo+ULiLbgFbA526TVu4x/zqeMfLYbxLLJuy2IFr5quU4+ZwT+HnOMu1Z2I6uNRcK6pCagDJMDNNkzbKN9Kt3g5Y/O5BcKYmTzzmB27s8gOHTOSLlLtuN4xYpFUF8pu434qX4/BiGFFb5jpFZK6VIrlSGUH6Q/JwQtu1wWa2hBOIDvPXIh4gY+OP8fPvRz7yw9DFAG9rUXdkM6vcsqmo51NY0TBFUXBzKlZa7k4t02Z+wRW5mLpcddy2maUTDgNvW7eTi6kNczyzmgSNwTP1qbFu7gwrVy1GQE8QKWVxwXXeuankr6TsyAD159+z+HehXexjhkF6u+/Gv76dxmwbRrkZfOJ5fv1iGchwuuuV8Bo25BICe13Rl3fKNoKDnsK77/C7P6N2OL9/8lpz0HM6/9py/9fcQawxBKwlPPKvl3+rr6EGwDyzSty+mAE2BLkqp/JjtHwLjRaQ38CkwCliqlFrp7n8FGCkiC9GG7Gpg33r9fwDPGB2h5Gbm8uGkWWTuyuaS288vsqbNwaQgL8inU+eyadVWhj0xiJUd7icrLYeIioxYAZqp//OFCsKRKejEJQS4Y/p1+NxEfmSph4gBE0MKK2jHOkDRygzRSFxhVQelMEyh+5Wd2bp6G99+9AtWSK/CWpBbgIgBoiszbF+XUuR6MjPzsG0H23bwha3C5L8bFiQ6Dr3NCtkgetyGqccaDlo6fGgXrTLRtG1Dnvr+AXIzc0lMTsQKW9iWQ3xiHC+NfEtL0g2hadv6NG5Tn/zsfKywLln08eTZ3PDM1dFc0qZVWyjIKUBE2Lhyc3T8XS4/gw4X6ReF0pTaaX5qY97c+CyhgtBhW1T0v4iCv6WUKw0iUhsYCgSB7TETkYcqpV53DdHTwGvoeUaxsdP70IZsA5APjDsYsm7wBAxRjjQBw/jBk/nqze9wHIfazWox9bcJh2Qc00e9xTvjP8GxbcpXLc+I125g7GWTyMnK0+E5u3BNIzFEh/AiByu45LbzGDj6YgBeGfMeb437BNySQQ1OqEPtpsewetFa2vZozYyp8yjICyLKIbFcIt0Gd+ajZ+Zih8JRxVykMjhE0jsKR4HPZ9Lr+m4s/nK5VtOZJptWbWXwA5fStvuJ0etRSvHeWz/x3OTPkawCzNRMvZBeXr6rprPdRescVNgmIp4Q06R9z9akbsvgz4VrdGcCXQd2YueGFFAw7PGB1G1ZctjqhxkLeejypwjmhTBNOKVHa0459yQmDntOG0a/j4tu6cmVD+klHVb+vJqpt75CmYplGPb4wKhizeOgcUBuzTHNy6tr3zm9VG1Htvj0qKjA4HlGRyj+OB+GKYhh6iWk/2XWLFnPE0Omkp2ew3VPDaZNtxMLx2EIYOIP+MhMySKYm6fDWoahl+l2i9Fp+bW7wqlloWybNUvWM6zdSJRSVK1RXhsVAWUpctJySN2WQWZaLjs37sJy+5S4eGwzwM4NKdj5OgIhYkTnBOmq2BKVJUeqNKRsSiVjVw7xZTIRQ6u7MnZlFblOx3ZI25yKmVmAOAoSEyFg6UrdSqHy8nFCIaJVXCPOkm2TviODnPQcvc2tv5e2NY20bTr8lpuZV+RcGSmZTLzmeZZ/v5JWnZq73pvCthQL5yymU59TqVa7Cimb0zBMwR9X+N+1SduGPPHN2BK/qx0bUnhy2POsX7GJ5qc2YvGXy2nVqTk3PnM1yZXKHsBfwf6RkZLJxGHPs/y7lVx6Zy9633TeQTv3kYC3nlFRPM/I5UjzjMKhMPNeXUB2Wg49hnT512WyYy6awDcf/AS4y5z/NZnt63dSrnJZfpz5K1tWb6XnsHO4oslNWtotonMmMYhP51CU40Ql0kZCPERWcLWtYjJuwfCZeps7KVYCfsTvRzlu5W9ATL1okFJqt6XNdQO0Z+a2iyUQ72dm9qvs2ppGQpl4tm3J4Jb+UwkFLSRSgSEYgtxcbSgysorKyGPqzcUuix5dQI/COURNTmnApO8fZOua7VQ9rjKzpn3JlJtfIhy0Cif9xsjDk8ol8vLqScx4di4161en48XtS1VQ9LUH3ufVMe/puTzu/QjE+7l+8tV0u+LMfR6/L2zLZseGFGrWr87OjSkkV04uUYo+c+rnPHPTS1q9KMLM3NeO5CrdxTkgz6hm8/JqyNsdS9X2/pafeJ6Rx+GLP+Cn+5WdD9r5mp/ehJ8++1UvcXBGU0b9bzwLZy8mkBjgoZl3cealpwHQtF0jfv1imasgc+NmLspWiA98cX5EFLZlYYetmHlFqoi3EZ1jRGFXynYQXyShJNE2YoiedKncCuGWjVLocSgwfSZmwIfhlgZCwOf30eCEujxz80vMfPZzTJ/BtZOuIiExgBW2cUAvNR6RdqO0Z2fZmH5t2OywHTVOynFADEy/iekzcWxbezto6XqL05pwc8dRrPxpNWXKJzJk/AAM0yQ+ydT6C8PACoUR0eNt2q4h5Sonc/nIi/bru6p/Qh3tRYmgLFvn6hTUaV7rb377hWxcuYXbzrqf7PRcksrGk5eVhz/ez+gPbt9NtFCnxbEYpkF8UhxVjq2M6T+6KnPvnf/GSq8i8jjwilJq8YH25Rkjj1LR+6bzOPX8NuRl51O/VR3OCVzmLs9g8dkL82jariEiwqj3bmFIq9vZunYHIIXKOvTDWoUcajWoygMf38nglrciIcsNzQlE1HI+n7ZJjtIek5v70bJqhaOcGKWaawiAxm0bcPPUIcx4Zi4XXHcOD/d7Kpq/8QVMXvj9CWY9/wXN2jei4Un12L5uJ03bNeTSWkMJB8OEg7D0q2VMfHs4A88Zj4RCqIIgqiCMys1FCdoQBXz87/ruVDmmIs/d8Rp2WBWOUTk0b9+EEa/dSP96w6P3r+sVnTh7QAfef2ImynHITs9l/fJNPDz7Hn74eCGX3t2Ljb9voVajmlihMLu2pBVRz+0P7c9rzat/TWLb2p00bluf5d+upMEJdf4R7/nPhWvJzczDCobJdKXs4ZDF4q9W7GaMWpzWhDc3Pcu6ZRtpcXqTUlUbP1rQ0u7/xOJ6DYGfRGQ1Won3ulJqy9/pyAvTuRxpYbpDzYsj3+KtRz4ApUNAXQZ05KYpQxjW7h42/bmdsDvfCAEnN7+wurZS+OP9qLh4DNMgnJNfuNy4rWXcEhdAfCbKslGhUHTdIRFBGQZGwA8onPxgkfWB/AETK2QRiPMTCob1pFa3YKjPb2LbDoH4AEoprntqcNSz/GTKHF4Y8RplK5ThmslX89CkL7THsy0DsyCECgZxUtJdebqB4TMxUDhhC8dWOkVkaGVfmXIJ3PLcEMYNnEw4aGFbNtVqV2HIo5czbuDT2uOytNrO9JnoKVR+AvF+3t323GG/rs+urWmM6vUoqxeuid77qrWrMPbjO4tMcD0KOCBLUr15RTXgjdJFNsaf8N5hHaYTkYrAZUA/oC0wH22Y3ldK5Za2H+9VxeNv0b5naxLdQqLhUJhdm1MBSNuRGc0REKmcQIwsGv0mrVeMcIitZhBt52q1RXSB08ix0YoLUHK/BTrnFMwPoZQiHHTn+bkVvJWjCOYFCReEmTFlDu8+PoMR3R5AOYq23VvToc+plK9ZUeeGHIXYTuQVNnot4oYTbUvXfYsUT1VKV14YNOYS1i3bQDAvpFeSNYQWpzciEO+PGlWgsA8Fwbwg2Wk5fPH6NxzuL4eVa1Zk1Du36MoTShGXEOCmZ4eUyhBtX7+TCVc+w8Rrn2fX1rSDMNrDGwejVJ/DHaVUmlJqslLqVHQNvJ+A54AdIvKaiJxWmn4O/yv1OCy5tdN95GbmISLUP6FutJr0/e/eTLlKZXSlbiusK+j4tScTmZtTsVp5Bt59gX61FFeVZgpE5hoFgwgOLU9vQud+Z2gDFCkPFLZQlqVzObHE/irCgPv66KrQJSz2ppTir9/W8fwdr7Jo7hKevuElFrz/Ix89NYt5U+dww43nYIQslN8olIwb/6wN110AACAASURBVGfvvMOjqLow/rszs7vpgQCh996bFBUEUWwgKqgoCmJDBSx8KigKIiIqooiiItIVBRQVRQGRXpQivffeIaRvmZn7/XFnNwkECCJIyfs8+xCm3JnZ2Z2z59z3vK/SyrP9fgSSOjdXp8l9DdXwtmpfvKV9Y8IjPUx4b7KjhyexbZs5ExaxZcV2OjgUdlCZVPXGlWj+cOMQFf3jLiPOasNwKaBQqXheHtWFyg3L81j/dtS5KWcNru88NJgZY+cydfhMPnrqiwt8lpc2lIWEyNHrcoEQohHQHSXGugd4H0gEpgohPjjb/rnBKBf/CBHRYeiG8ho6tPMIB3ccBmD7hgOkSx0RFYkwDIdVJ0DT0VxuNI+blFQfy6Yux0xKBMesTiAw8sehFy+CHhuNRGPvtkNsXrYN21RzRMIpkQmkY2zn9BM5/UvouiIbIFg+ax2Jx9MQhoErLAwhRKjpFoGaf0Kx9RBKfdqybGZ+u5CZ4xaiJ3nRvQGEzw+WieZ2oYWHIQwDO2Cxa90etq3ercZxSpBr5q1nRM9xIX8fRWcH3dCIiYvm7q63ER7pxuVxYXhctO1+Nx363I/hNnB5DGxbyQv9l/ht+B/ck68jT9Z4ke2Ol9XYN7+jZXQHujV9g8N7jmJZFqvmrmPryp2snL0Wb6r3LKPChAE/sXHJVqSU6C6d6LioC30plzxsKXL0upQhhKgohOgnhNgOTAF0oJWUsryU8k0pZReUn9LTZxsrNxjl4h9h1KaPiXXUnJOOJTPu7Ulqef/JmKYNUigaNyBNS/361xR9OeANsHrOWoch53zZXC5wudV2lg1CcGzfcXatV+oCofId4HS2ZhJNzfQxdhatW7RZ6bxJKFG5KMPXD8pENQ8GJYGma4xc9yFFyxYEwG/B2lWOokG6L8uYQmSIsh7de5w9mw+EGnoBdm3Yy7H9CVneJ03TuLfbndz44PXs23KA0Zs/psVTzXl3+uvUv7028SXyM2LdhzzS536+WDGAklXOn/EWRMAfYOOSLedk1zD8lXGkJKSyc+1ufhv+B35fgK/6fo8vzcfGv7aw6Odl7Fq/l99HzSbgDfD376tYMnVFtmMdO5DA3i0HABj1+reqRCnh+rvq8VIOfLKuZEgEttRy9LrEsQ7lk/QaUEhK+aSUcsFJ26wAJp5toFw2XS7+EaLzRnFLx6b8MGgKAA3uqANA3aaVWfDLCkwrQ50gFDhsqX7+BNWvnQZVoemqCTYokKrrYAcQmqb8eciYLVbDZS3RhfbLZpnhNmj51M2UqFiU+rfX5u/fVzluEjpCQO1m1Rj/7k/s3bxf7RgwwTTBMJAuA2E6tuFBCaDMKuFSzWmFRXnwpvpCvkuaoREW7iE91YtlWkwc+DPfffAzCIHh+Az9Pno2H8x+k3K1S1O4dDxtu9/1r90bUI2vnev1wJfqIzY+hmErB+aITXfNrbVY+ONiEIKyNUvyUMlnQrfP5XERFRtBt8a9lKI5Stpp4KOfERETEfoMAEwZNoPPXxgFKBWKmk2rsXbBBjRDp0Wn5pc8UeNCQ8kBXfKBJicoIaXcf6YNHBLDWfXtLlowupC+7GfaNxcXDo+/3Y6WnZqju/SQqvSz7z3I+nnrOLTjhAoIQlMPaScoCSEytOQMA+Fyq/ki08I6cAgREY5MS3eYeEG6t4VEIkKGb5AR6DSlzm1bGSfmHEDToH2v1rR8UilXvzyqC+Pf/ZFK9ctR+6YaHNufQMkqxXigWCfFngOEtLF27kUvWUyRFny+0DyVlIBlOSQKFR4Lly7IoLl96FjxOdISVTAqUq4wQ/7qz32FniTgDSj7cwApCaBIFVpAZ+rIWdxwb0M2/LWZ61rV46/fllO2Zin86X4ObD/ErR2b/mM69p5N+/Gl+fCl+0k4lMjR/Qk5GqvnuOfZu3k/Mfmj2b1hH+kpSgbJ8LjoN+UVDu864ihFZOzj9wWYMvR36txcHZdbqYGsmLkmZH2+dPpKvt7+GTvX7SG+RH4ionM18HAyoysAe4QQhaWUhzMvFELkAw5LmXMBvouZGV0QX3YhRP6z7JuLC4iTraOfa9JHyd9oAiGcz6GjvC0hZHoHFsKWCI9bqTDYNjKgGj4trw9hOzbfmffVtIwm2KAigxBIaWdo0jnyQ1JKKtYrS/OHbwid21O1XiLxSBJCCJ4c0J67utwGQKeBHRjabTRReSPxxESyI9UZNyFJhRxNU3NeAtXjJAQSSUR0BE+9355Hyj+L3+sHoSF0ncN7jvPijX155sNH+Ox/Y7BNVSbTNEHtZlVZNmM1SPjty5n8+sUMNF0woud43GEuLNN05reUOOqYzZ/8o/tS9boKNGx5DYt//Zvm7ZtQrELhs+/koFgFZZ1ToW4ZGrdpyIIfFtP0/uuo3KAcJSsXpfZN1Vg9dz1Vrq/IqtlrsUyb5TPX0K/tIN78sTsA97/Uil3r9pB8PIVO77cHlM16LjJgX1jV7ouFzG3qmRFJhidSjnDRgpGTqvXJtGiKEGIHqt6YD8eXHUAI0Qc4KoSo5EibdwAelVImAAlCiKAv+zQyebqfZt9cXESkJXudTECAyFBQkI6YaGb1a6Wu7fw6dL6X0imHyaDqd3D7TP1EakNCY4R2d+agpNPL1G1oJ/I75n+/j5nDsf0J2LYSHU1JTOW7D6cwZ/xCWnW+hYkHhgOwe/thutz/GQG/yuYyU60z08mFJojJF8XahRtJT3b08ZzrC/hN9mzeT97CeanZpAqr5qzHtmzCIj207X43+7Ye4uDOI2ouR0oCPguEpqjoAgQSy7RC4/4ThEeF8/r4bv94f1Cq3z3GPEuPMc9mGldSsV45ThxOosUTN4MtWTlnHVbAyqK9V7FeOYavHXRex7+SEWTTXa4QQox0/pTAx0KIzB9WHagFLDmXMf+zOaN/0Ze96un2Ba76YOT3BXD/S0KqlqWyFcN1+o/Nu790p0eLd0g4kKBYcpqm5l80oUgKtkSYJtKR2LGTU9AiVNnG9vkRbkVkwO93AoHzwys43xQKDlmiVyiI4cwVvfrVsxSrUBjLsjm86wiDOg1VjbO6oFm7RpStUYq32g7C7w0wuPNwqjeuTJGyhShRJp5XB9zPW13HIiPCwedHmqZqVBWa4zwLtik5sO0Q373/c+gcpeWU+jSdgCV5u/0Qhi3pz/uPf87GJVtJSUihV6t3+ezvAYzrN4m4wnmJyRfJ+kWbubZVPRb/tpxytUoT8PnZt+UgD73e5l+5b/8mFk1eyvj3fsKf7uftBz9i2KqBTP50GrYteei1nLnD5kLhMi/TZWITITL9H5R1xUSUuV+O8Z8EI8eXfRwwRkq5UQgRBRw5abNEIBqIyvT/k9fhrD/dvmc7jz4o/w4KF855GeNygGVZDHhkCHMmLKJivbK8+WN38hbM84/HWz5zDe89MgRvqo8nBzwcmoc5GX9NXUHisVRFebZlSG9OWDYQUPNHtsQoVhgZEY5ITQOvT2UbEvD61dwQAmEY6FGRSE1TFg6mhZCqnAdSUcelQ+1GZsq4YGyfiQx45FPcYS4iosOUV5AjlLp0+iqWTl+N3xtQmnWGTrgzj+HzBpj+zZ/gNcEMyhQZaGRo4AWzPaHrIYXwEKnBspCWhbA0TK/NB09+zs0PNWLbyh1omkHeQnkoVr4wPcZ0PeW9+zdETC808hbKA1LiifDgchsULFUg1GOWi5xDseku38xISvkogBBiJzDwXJQWToeLHprP05f95HVn2/eMkFL2kVIKKaUoUuScLeYvaSQcPMG87/7Etmy2r9rFmvkbzmu8X4bOIOFQIukpXia+//Npt5v44W8hCm8IwVKdE4hwuSAi3KFxOw/8TPTjoKqBMFyg6yG6t1I/OImm7MyvtH6hBc982CFU9tuxZg/pKV4SjySFeqCC55RwKJGEgydCQ3y9fQiHdh7mwPZD7Nl2mJULt6oV6U7JO1gKFOKkOStOOfeTr2Hr8h0ULBXPR/Pf4vnPO/Hl6jP3/m1btZNdG/aecZvMOLDjEBsWb7loyg01m1Rl2OoP6DL4Ub7e8Sme8FPVunNxdkjAlFqOXpcynF6i8w5EcJEzowvky37afS/gpVzyiMkfQ4VryrJ52TZi8kdTvk6Z8xqvcZv6/P37KizbptkDp1f3aNKmAVNHz8GWmRhXhq6yjOD/TVNpzrndYBgQMDE8LsLCDJITUkLiqtIyHTvxoOCq5fQUWVmOaVk2Pw6ZigxYoQQli9fQSQ9qT4QbTWiYfpMb7ruWj576gmXTV2HbNh37t6NwyTh2bT4EHjekpavMx4Qs1O6QdUQm6roDTRfE5IsmJSGVvIXyUKZGSQoUy3fWe/Bxl+H8PmY2UsL9L7fikT5tz7j9r8OURYOma9S5uUaIPHChUbRcYYqWu7IqCf8FLtcyndPgWk9KecyZ9z/tLyEpZY4fPBe7THchfNnPtu9VCbfHxeCFb3Nw52HiS+Q/b8XkRnfXJ+FQIolHkmjTrUWWdVJKVs5ex+LflnPjvfVZMm0Fh3cfVYHD40FERyAPH0XoGjI2CqHrWAcOo0dFYnt94PdTrUkVWj19C/0eG4oWFgaoOSQrybEwd4KSkBIpnDka01TeRlJiejO5rmqa02SLMtgLBiXbRugad3a6mQ5v3k/qiXTyF43jweJP4U3zgRDM+noeT3/0GK+2+xwQah7INNUQlnMeTnlcWnZGeTBTQCpcOp5uX3bmj6/m0qhNA+Z99ydSSkpXL87SaStp3qEpZWuWOuU9Xv/nJtWoC6xftDnb+7Bh8RbmTFhIs3aN2bRsW4g+vTGTjJBl2cyftJjtq3dR77aaLJq8lNrNqlPvtloh6aHzxY41u5g+ejbX3VWf6o0r/2vjXjW4DNQVzoA3yahY9fm3Br1oqt2OL/tO1OSWmWlV0Jf9ZpQve0kyeoV2Ovtm7jMK+rJn7jM67b45Ra5q95nx0TNf8se4+SAlJasW59O/+ofWLZ+5ht53DVAMNE1DN5R6trStjIeUAFGoABSIU5Tuo2oK0DqegDAD6IaBrSlKtogvgOZ2YSenYh89TlBMVYhMJTxH065p22v58+fl2UrSVGtUicTDiezZuDfUsxr0PXrs7Xa06aacRxf/tpx3Hv6Y9FQfutuFzBunKObHTyAsp7/ICUC2oyIOEJM/muqNK7Jw8nLF+jOVh5NuaFgWaA6zz3ApJQoroDTsdJfOmC1DKFAsX5bzXTN/A590HY7L4+L5z5+kQt2yWdbvWLubLvVewQqY6C6Dvj91Z/x7P3Fk7zGe+bAjDVvWBeDHIdMY+dp4TNPCTPei6xqGx+CVr56j0T0N/ulHIIRjBxJoX6YLVsDEcBu8N6M31a6vdN7jXmY4r0iSt1K8bDYyZz5VP1z/+SWt2v1v4WJSu3dxhhsopfwDyPYTLaX0AY85r3Pa93LGX1P+ZkTPcZSpUZKnBnYgrlDei3bsgD/AV29+x9yJf9Kq8y2YAVM1nNqKdhzEkb3H+Krvd/i9ARVIhMCyLBQbQYSWBcVGs/0ESOUeiiGyLAvJ8Dh/Kn06gQBsp/8oOk8U2SZ9AiKiw0lPTiNzzS6o+p35GsIiPRiO8VsGfRtOV32QjoW64daJzpPRSKpUBZwSnnS2A+zge+YkaTqcOvcFVG9cmWGrTj+npGw01Hg6EF+yAANn9TllO2UsmKEoHlSxsMycywKByrC+6f8DM8bO47ZHb+SBV+7Cl+Zj1OvfZlJEF1ney1zkHJdxZhSCEKIB4JdSrnD+fw9q2mQT0OekCtgZkSsHdAnj7QcH4U31sXv9XopVKEL73vedfaeTkHQsmei4qCxllKRjycTkOzPZcNWc9fww+Fd8aX5G9PyWwYv6UaxCYZKOpmQp000cOJm1CzY4z22hGlejIpW6gi2VvbjLBdKGFB9SJCpKd1ISQjcU407tCjiNrQmJ2OEebJ8fpE1YVBivjO7CgslLqdSgHBsXb2HmuPnYls3kIVOdHTOUvVU5T7Bk6ooQ3dod7qLnNy/w1y/LKF+nDM0faUrKiVSi8kTyzkODQ82wxSoWoUP/h+n/9EhEeDgyJRVsWzW7Bi9aqtLksb3HmTZytuqXcrl48JV78ES6ObTjMHVvrcXciYto2LIuU4b+ztoFqmqs6RoDZvQmvoRqFrZtm5QTqcTEnZX8Sdmapeg7uQczx83nlkeaUqJS0Wy3u6vzrYRHhbF15U7q3VKDRZOXcs0tNWnUuv5ZjwGQmpSGJ9zN5mXbmfDeZHzpfsb1/4F6t9Vk59rdzPp2vvM+w0sjnqHGDVVyNG4uMiC5MoIRMBRVtlshhCiPYkmPAm4FYsmBQGoQucHoEkbR8oXZv/UglmmFuuJzCjNg0vuu9/h7xmqKli/Mu9NfJzwqjB63vMW2FTuo2KA87057/bTSLAWK5wME4VHKBK9giQI80P3uLNtM/mwaU4bOAInyt7FtNMOF5Q8gAqpkJxBoURFOj5EN6X71i920IOh7pBugCbR8caDryPR0SPOiSQlhHnwWDO05niP7jrPk9zX407zYwb5aXWnMBW0m7ICiVuPQuJVluI0/PcDQF8dydO9xFk7+mzF9fyAtKY0CRfNy7EAiaBqGS6dZu+v5cch0ZJoXkAiPR12X3+f0OmWmdiunWV3Xcbt1ilcuwqfPjyY91cuy31dzePdR1s7fSKJTknS5DYpVKkK1RpUBZeHd8463Obr3GI3bNKTnNy+cde6lbvOa1G1e84zbuNwGLZ7IMG67rlW9M26fGSN6jmPSoCmER4XTdcjjCE19BhCwZ9M+hjw3koDXxHDpRMVFcf3d9XPni/4BJALTvjwJDCehPBl9nvcD06WUXYQQ16AUcXIcjK6Id+NKxadL36XnNy/wxaoPuPEMDLbscOJwIitmrsG2bA7tOsLGxVvYuXYPu9fvxbYl21buzBAHzQYlKxdj3M7PeHFEZ77dMzSUSR3efYT5PywmLSWdie9PxvSr6b+SVYrxY8IYXEGqb1AYFZAuV1YKtPpZmJHJABguxboTAvyBrNRpCQd3HsEKWCQeTSI92ZsxDirbaPNCC55+vz2adtKDUUqEk9Mc3HEEM2CRnJBK8vEUzIDFge2K9m0YOu1ea0O9O65h6+rdWcbPUAfPRO0OQWDbkm/2DOWPr+aRfDyFgDfgKCxIjh04TsCn3qP4UgX4/O8BoT1XzVnHsf0JWKbN3ImL1Jzbf4xfh/1BwGeSdCyZdQs38u3uz3lx+NN8u/tzVsxcS1qSqrp4IjyM2/EZ7jD3f3zGly9sRI5elzh8QND3pDmKRAZwDJUZ5Ri5wegShq7rNGxZl2Llz51Gmyc+ljrNa6BpgsKl46ncsAKlq5egVLXiCE1Qvk5pilc8c7YVmz+GJvddS3iUyp7+nrGKRys9z/sdh3BP3o5Kgw7whLtp2+NuwiPDuKvzrarXJ1PZTDiyN4AjbopjJ0FG0DEDyjpCSnAZJ0/eZA1OQTh/25bNpEFT+Px/ozPsEpz9PJEe4grnQdM1CpeJVxlUsG9IExQuW1BlfiUL0OzB6ylaJp7yNUueekyJw9RTyyKiw8lTIAbd0Lmt440MfPQzVs5eC6jgWKh0PJomyF8kH2GRHsKiwnigx93oeoZuZM2mVclfNA7d0Gj6QCNc7v++UNHyqea4PAax+WNo3LohUXkiaXLftUTGRHDjA9cTky8al8dFm24tcwPR+UBeGX5GwCzgAyFET5Tl+C/O8ioowlqO8d9/+nNxQWC4DB56/V7Co8Jo3KYh+YrkRdM0hix+l6TjyWeco/D7AkwbOYttK3dy34t3hkqEB7YfRkpJeopXlcQsE83QaNezDYah894jn3DdXfXIWzgvRw+cQMTlQURGIIWEY4lKOcHnV5pvlg0uA+FxK+q0lFgnEpFer7J3QGZqflUmfZimoiIIFG08qOJtO/blZAQaaUuEDjVvqEKj1g1YPmM19754J589P5L1f25GmjaxBWLpP+UVYvLHoOmCnz+bTuKRJO588kbWLdumeAgpaSEjv6DighCChi1rUfW6yqxfvIUGd9Th/cc/I+DQrONLFOCDWb0JiwonJi4KX7pSmFgxcy3vdfiE2x5vRs0mVSlRqShjtw4h5UQq0XmV0Igv3cevw/5g76b93PdSKwqXKXihPiLZ4rG329G2x914wt2nyD7VubkG4/d9QcBn5ipvnyeuoDmjp1Di1A2BtlLKQ87yesA35zLQRaN2X+q40qjdSceSaVu0E1bAxB3u5o3vX6LebbVztO93A39mdO/xmAGLyNgIfjg6CoDUxFQGdx7OnO/+DFGtG7aozY0PNmLgY5/hT/eDbqDpOjIqEi2/EiklQc2Z2OnekLNrho6bCHK2sYM2Di4XmiacfiIHzvbBjEtKqTIpnP4hHCJEMDPSDTRNQ9NU5iRt5TD6wazevPfIEA7sOIIQEBkbyQ9HRjDw8c+Y9c0CVVmMUoHBTk1DOPNEOBmNnZ6uEjtDR2gC23KkiwTYpgXY6LpGwVLxWRS31y7cSI9b3sKf7sflMRi18eNTFM8BxvSZwIQBk7FNmzzxsYzfe3Xbc1/COK9IElOxoKw39KEcbTur2aCrgtqdW6a7QiE0xztI00ByTmZmuksPyexk3i8yNpJH33oAl9tA0zUMt4s7nmzO+Hd/UlbbQVuHUAmOrHKKnPS3k8icMv8dEkjNur0ISnNLNccDqiSmaRr6yeKtp5T3wPSbTBn2By06NcftcaHpOrojH2S4dWdaK1NJ8aTnjXCo6cFtIcPKXDN0dEPDcKlgrBs6s76ZT7uST/PKbf1IOpoMIZVykaFWfhIMl4HmWKTrrtyv55UKicCytRy9LnUIIeKEELcIIR4WQnTI/DqncXIzI4UrLTMCxdaaOmImDVvUpUaTKo73j2T/tkMUKVswWxbUkb3HiMwTwdKpK9m+eietOt+G3+snvnh+vGk+/N4AR/ce4+fPf+eOJ25i7neLmPShcnt1eQzem/EG7z03liNHUyHMjfD6ITkFNF3RvIUAjwtpuMAfQERGQEoK+PzYUjrkBdAiFANPSgmpqUptwTBCSgwFShSg59guTB87j+vvuoafP5uu7K8z9e8IQ+f6u+pR5+bqfNJ1BNKycYe7eGXsc9i2ZPvqXdz5zC0EfAHyxMcy8LHPmD/pL6TQ0CIjVXnOH1BlQCFwhbkZMK0nC374i+KVihKbP5pNy7bTsGUdZo5bSO2bqpJ4OJH9Ww/StsfdtCvxjONzBA+/fi91bq7O72PmcPezd5C3YCxhkWGnlLss02LuxEXs2byfVp1vI2981jlgdf8OUqRsIU4cScLtMf6xAV8uzgvnlRlFVywka3/WPkfbzr954CWbGQkh7gVGo96PI2RtzpPnIgeUG4wcXInB6GScOJLE8416cXjXEYqUK8TgBW8Rlalp890OHzNv4p+4w928+WN3qjWqRPfmfVm/aDPuCA+WJbFtSXiEQVpiGvElC3Dfiy35vNsYNE2jaqNKFKlbiekTl2DZEsJcKskwhGLKJaciDidkaMXZyhQP25HUCTrCOgj1nUqJFhGOMAwVIAIBhK4Rkz+G1ETVE+NL9RHwB5ABP0FfIxBK8y4mgrRkL7Y/ALZNeFQYb03uTrXGleh+s3N94W78PhMzYKHny6vmhwIBMC2kbWOnpiIQxOSPIu1EKobb4LVvX6D+HXV4rUV/Vsxai8ttYFs2lmUTGRtB4tEkQFGtnx3yBOPensSxfceJjI0gLTkd3dB5eVQXbrj32hzdv8SjSTx//Wsc2nmEiJgI0lO8aLrg+c870bx9k3/hE5KLc8B5BaOoCoVkrc9yljgsbP7+pRyMtgNfA29KKc+r+/nSzwGvYvi9fmaMncumpVv/lfH2bNzHsX3HMQMWB3ceYf+2Q1nWz5+0mIDfJDUxjZWz15Ke4mXtgo2YAZP0VJUVBXwBko4mYwYsDu8+im4YjNr0Me/90Zt3pr7G/N9WKdXuYJ9P0DpcCJUlBRHMYIJU6ZDwaCZkXhYkMQQJCpZNonMeqYlpytAvyxDqWWEGLNJSvFmOmZ7iZeXsdexev4818zc41+dVNHVdRwQp5sEaoqNHJ6Uk8XAiAb9JeoqXpdNXcnj3EZZOW4npLPOl+zH9JolHkkCCy+2i27Cn8ab5ObY/ATNgkXg0mYDPxJvq489fcv4DaM+m/Rzdq+5f0vFkAr4AvjQ/C35YnOMxzoSk4yn8OuwP9m09eMbt9m7ez29f/kHKiX9FrPmqhZQiR69LHPmB0ecbiCA3GF3S6FTjRT7u8iX/a/oG00bNPu/xytYqRfXGlRCaoM5N1SlZpViW9Q/0uAt3mIui5QvTuE1DImMjuO2xG9XKEGNNqSSAKil98uwI1i3cRJWGFRBCcP8zzdQ8imWpfYKlNykhOjKjlyhICw5+1zRNleEAIjxqG02EjqU04mSISKDgZFQh4bkMuZ/S1Yvj8jhlPdt2nGbVWPEl8lOmRgm6Xvc6mjNeoVIFyBMfS3i4i9IVHSp9cB7KkSECKFe7NJ5wN4VKx1OzaVUerfQCmpHN18i5rkoNypGWlM7wHl+FZHPK1CxJWFQYBYrlo8VpfKGyQ9maJalxQxWEJihTvQQRMeHEFc4Tsk8/H6Qlp9O+TFc+f3EsnWq+xLpFm7LdbtWcdTxV6yU+7zaah0t3xpfuO+9jX53IGa37MmDcjQfu+DcGyqV2X8JIOJSIN9WHbmgc23/8vMeLiA7nnamvEfCb2fa0tO99Pw++2hrd0EPzSd2+eJpl01cpFW7HSC7UAmRLAr4Akz+dRs2mVYgrlJd6jSrww+DfSDiaqjyLDA1OpCANHelxQ7hHqS/kiYHkNITPMdYLysdFCoiKhGMJypBPEwjLdpIUgS3tjGzKVg9327bRhAo2UmjoHo0+k17i1TveZv+Wg0oZ3IEQgho3VMIV7kbTNAJS4IoI491pvShUugDSlvz1xzr6PT0KAiD9KWBaCF3HCPfQwJSmhwAAIABJREFU4ulbWT5jBYVLF2TZ9FVKsy/kcURIjDW47MYHrif5WKrjkisJi/TwxYqBWKZFIGDy27A/mPD+z7R9uVVImeHUz8EJvun/A+kpXp77/EnyFcmLy+3CMi2EJk5RZE9P9fLj4F/Z8vcO2r3WOkf2Ib50P36vHzNg4Ql3c3j3UdYt2sS6hRt54JV7qNygPMkJKUwa/CtmwMS2JLqhE/CZuZ5G/xCXQdaTExwF+jpi1WuAQOaVUsq+OR0od87IwaU4Z7Rm/gZG9x5PuVqlebj3vaFelIuNzX9vo1erd0k4mHiqiZtQzbn176hN35960K7KSyQcSkJGhkOeaJUR7VMqBzKYLWkCLS5OUbRTU1VQsSTSr8p40iExCE0jqIIqoiJVMEpLV0QIqaSAQD38a95QkRIVi7Bt5U4e7nUvQ/83ml3r9zrsuKzna7gMHu59L+FREcwev5C7Ot/KzQ83BmD31kN0bfEBAb+pFMNNRw1Cy0TtFoSCte2Y/j3cqw2b/95ORGwEEVFh/PblH0ipGoJ7fvM8q+etZ8vyHTzyZtuQltv00bP5uMtw/Ol+dJfOlJSvs7V079Pmff6a8jdISdlapfl0ybtnvF8TBkxmzBvjMf0W4dHhTD4xJkf3ed73f/HdB79w/d31cIe7GfHK1wR8AXSXwVTvt3z63EimfPE7pmnhchu89m03rr87Z3p3VyDOK5JEli8sq3z8aI62XXbHO5fynNGZSjZSStksp2PlZkaXCOZN+pMhz44kKjaCl0d3pXKD8lRvXJkPZr/5rx/rq7e+57uBv1CxXll6jOlK/qJxZ9y+Qt2yNG7TkGkjZuHz+p0eowxFbt2lh4gQEVFhJB9PJRAs0Tn9QppwvIVUV05IxDvUSyScEqAQTvtqJqUEZ/4m1JMEISUFoWlIW7Jv8wGSj6Wyf9shJr7/MzvX7QUkLpeBZdnohkbAb2K4DMyAyfcfTuH1b7vxyaJ+Wa7VE+ZSbD5dYDtBR3cZ2A493u8VuDy66i+SErfLhSfCQ4dMRngJhxOZMXYutkPMyFckjqc/6HjK+xoRE4EAXGEuDJdxWo23qDyRar3z95mwfOYaJgz4KXStEdFhZ9w+CCkl6//cyI41u4jNH0WDFnURQuDyuHCHq5JqZJ4IdEPHtmxMv8WGvzZz3V31crXp/iEuA6mfs0JKeeO/NVZuZuTgv86MOpTryoHtilBw/d316fPDy/94rKTjyZw4nJStqrMv3UfLSEUpNTwunvmwA62euTW0ftf6PeQrEnfKQ8+yLAY//SXTRs8JNawCIAQ3PnAdPcY8i27opCV7eerGNzm09RAyOgJZJB+BCBfh6/aq4CWVgoJwuwEBPi/SHwiZ2AndyFBUCJa/HJdXERam2HRBq3IhHCtzx/BO1zJcWKVE6IIm919Hy043s+CHxdz5zK30vKM/h3YeAaBSg/J8vKgf21bupHilIqQlpZOe4sVC48lreyO9XrBMrm1Rl/tebMmciX/S8smbmP3NfEpUKkq+InFsXr6dWx9peooK+qFdR5j17QIatqhD6eolT3uv1i3axLpFG2neoWm2NO6tK3ZQrGIR/vrlb3xpPpo91Bi3x3Xa8Z6//jXW/6mM+fIWimXk+sFnDWAAR/cfp33pzpgBC3e4m5dHdiaucF42LdvGLR2acHTfcQqViWfsGxP5achUbFMF+IkHhp9VAf4KxXlFkojyhWWlwY/naNsVLd6+ZDOjIIQQ8UAZYIVj+XPOyM2MLhHUu70200bMBOCaW8+synwmLPhxMe88/DFIuPbOurw+4X+hdccOJPBM3e6Oko7EcOlZ5hN6tXqX5TPXIASnKDbous7tT9zEnO/+xHIeRJZpoWkaLZ5sHmqOfWfUH+ysWABZIJKojcfhcBJGSioETOVH5HaIC9FRKjVKlAh/QJXkwsMV687jRgRVvk0lHmolpSCduR+hBRUYLGeaxnkuWJn9eiTSksz//k8WTVY/MlbP28itHZsy/r3Joff5mTrd2bN5f0haCCFwRUeB1+9YpQuWTF3J39NXICVMH/EHll/JA/UY25X7/ndntvehYMkCPPjKPWe9X1Wvq0jV6yqestzv9fNM3e4c3HkEd5hy7T2dZURm1L+jDpuXbVOMu6MpvPPwYN6e0vOs+8XERVGkXCEO7TyCK8xF6RolKVm5GNUbV+b5619n26qd6IbGc58+QXhkGAG/SdFyhQjPYeaVi5NxWZATzgohRF5gDNASVRAvD2wXQnwOHJdSvpbTsXKD0SWCZz95nDYvtCAs0nNeJnqr561XsjzAshmrsqzbv/UgaYlpSFvi8rjoN6UHCQdP8Mvn07m5QxNWzFwT2nf9n5tDwSg91csfY+eSr0gcb3z/IkumruCBHneTcPAE8SXzs27hJiZ/OpU6N9dg/tItmFLiSXd05CTgqFEH53jQNMdoT4Df+RGVWVg1SOMGp5ZHSA4o24pQkPyQDayAheVYj+9av4f3Z/bm1kdvBAmRseF88/YkNe8TJB0IgaVl/WFn+k0sqRh5mbPC1XPXc0ObnPUInSuSjqewf+tBTMcddsea3TkKRg+91kYRDT6cgmVarJy1NkfHc4e5eXd6LyYOmEyzhxpTsrJiWtq2zYa/VKZluHRSTqQxYf8wdm/YR7napXNLdOeBC1WUEkJ0BToC1YFvpZQdneWlgB1AZk7+e1LKt5z1mR2104ABmR21T4OPUd/AYihDvSB+BD4CcoPR5YgiZQud9xi3P34Tq+eu5/CuIzzx3sNZ1lW4pgzX3V2PhT8tpcl917J06kp++mQqIPn1yz944r2HGN1rAsUqFuGmhxqH9nuxSW92b9in5kAATdeZPnoOkw6PYNKHvzD2zYnYtsT0BdDKF4RqxbHcykdIIJBuQwUky1KByLLA60V6PCpTCvYfSafc5vcj3W6l9m1ZSDSES0cGHBMjyKLqnan9KAOhPiFnD01w7//uJDpvJDFxUc6ukvtfbsWPH0+ldPXiJB1LIS0pjZK1yrBmwWYyoilIMjInpKRIuYLnRMs+V+QrnJdWXW7j12EzqN2sOrVvqpbjfVs+dQvrFm5iz8Z9PNK37dl3AFIT03i00gvYts1vI2bR/9dXqdm0Krqu88ib9zPx/Z+pcE1Zrr+7Pp5wT44Yerk4My4gm24/0A9lcJedom0eKWV2fiV9UJlNSaAQMFsIsV5KOe0Mx7oNaCKl3H/SD5Mtzjg5Rm4wusSxb+sBRvZU4reP9W9H0XLZ20msmLWGsW9+R9VrK/DBnDeJjIk4ZRtPuIee414I/f+TrsMxAyZWwGL3hr3EFy/ATwmnMq9SEtOUzbSmrCFMvw9/uo+fP5tGckIKlmmHfI303SeI9bkRlqVcXw1DGetFRCJtCzs6HAwdcSgBktOQPr8qyznEBSLCkV5/SCdOJiY7AUnpuUkk0gySIzSEy1DZSnbfLaGYeFKCy60TER3Oyzf3pXjFIggBuzfso07zGpSpUZKqjSqScDCR5OPJVLq2EmsXblbNu46tReaMyBPh5ukPOp5xLiiI/dsOMrLnN9i25LH+7ShWvjBblm9n5GvfUqB4Pjr2bZttJiyE4JkPO/LMhx3PeoyTUax8YT75s/857WMGTCzTClG7U5My3KIr1i9PmZolqXZ9RaLy5koP/RtQOr8Xps1TSvkDgGNwV+wsm2dGB+BRKWUCkCCE+BKVYZ0pGJ0uhhQBUs7h2LnB6FLHoE5fsGbeegBOHE7igznZs+t63tEf02+yafEW4grlpfULLbLdLoiAP8AjfdtyePdRlkxdQcBn0ve+D5h0dOQpgazfL6/y9VvfE1coD5Zj9S1tyYhXxtHnp+7ohs6ejfuofVN1vvhkDqaNIiMEadluNwiBHR2FDPdAwEIPNri6ncl4TUN4XIBQwQsymmWDgq9COIFHZSua2zHtM81Tq3QnlY8CPpNRvcYDqrwGEmlLVs1ZB8CmpVsI9s8um+NUG2wICr/mKZiHDr1as+DHJdzQpiH1b8+ZAvqgTkOd4ynDww/n9qXvvR9waNfhkFjq/4bl2AzzgiE2fwz9fnmF7z6cQuPW9Wlwh7o+y7J4vUV/bFuy5e/t5C+Wn5ZPNf+Pz/bKwH/IHdslhJDADOBlKeVRZ+6nCBmurTh/353dAJnwG/CyEOIx5/9SCBEH9Ad+PpeTylVguMSRv2gc7nA37nC3YwWePWLzRxMW6UHoGnGF85x2Oyklnz4/kjuj29P9pr40bXsdhkvHE+EmLNKTbTNsiUpF6TnueZ7+4BHuf6kVLo8L3dDxpfv5+JkvadauMT2/fYF1CzcRSPc5xO1Mx8SpbjlZRtCrTmQqgwXVuEPK3KAUExz6OJBlfiJEARdBfyOyrAvSz4MK454IN0IThEV40AwNPdMyT4QiVRgu3anMyYxY5pxr4pEkfh02gxUz1zB9zGySjiWf9j3OjPzF8p1y//IVyYsnwoPhdlGg2Onv6cWEZdn8MW6+ur7Rc0g8qq5PCEF0XBQeRxUjrtDpP1u5ODecgxxQESGEzPTq8w8PeRTlM1QSqAtEA+OcdcEmxsRM2yc625wJzwOlgd2okuDPwC7AA5wTJTiX2u3gv6Z2nw62bbP41+UANGhR55Ru+6RjyexYs5vydUsz7/vFlKtVinK1S592PDNgcrvnQQAMt8EzH3akVrNqrJm3nhvuu5Zd6/dSuExB8hU+PYni+MEEHij6FNKxRHjs7Xbc9FAj2pfpgmnaGMWUGZ/0B5RPUUoaonC8yjQsE2lbiMRk1UjqD0C4B+H2KLKCQ26QKWlIbzoy3aeUFWzpsOg4RZk71Ex7EjRd48YHG9GuZ2vWzNtAwzvrsnzGaopXKkrSsWTWLtzIXV1u469fllGtcWUmDJjMzK/mYds2whMGSHW+QQdaB+5wN91Hd6XJfaeSFw7uPEzikSQq1isXun9LfluBbds0bFkXTdMwAybzJy0mrlAeSlUrzs61e6h+Q+VT7u3FxNH9x2lfpmuI2t19ZGea3K+uLy05nbkTF1GpfrlQadIMmKyeu57KDcuHnICvMpzXhE9YuaKy1ICncrTtpjZv/CNqtxCiH1AsSGDIZn0h4ADKHlwHjgMFpZSHnfVtgD5Syuo5ONYNQDVUUFsF/C7PMbjklukucWiaxrV3Zv85XDN/A6/e1g+hCQoUz8/wtR+e9YGmGzp1b6nJqjnriIgJp8q1FShRqSglKhWl2w292LpiB7Zl8+q452l0T4Nsx4grlJfr7qrH4t+WExbpoXrjSsTkj6FcnTJs3ZOsrB80AdERSru0ZCGkriFOJKMdTFHfYl0HhNrO60N6faeU4oSUCLcq3UnL7zTNZnlzHPkdHcPjwtAFfl+A6DyRJB5LwbZh3nd/UaZmKe5/UVGwm3dowqLJS3n7wUFousbqOev4aEE/Jn00hTnfLlCBSDeUKkTQafak9zQqTyTl65wa8H/9cgafPT8KoWlcc0sN+vzQHU3TaNiybpbtDJfBjQ9cz9oFG3io5DPq/hXLx5drP8xiS34xEZs/hnJ1SrN1xU6i80ZSLtP1RUSHc/vjN4X+n5qYyqOVXyA9OR1N0/h06bshN+Bc5ByXQBoQMu6SUiYIIQ4ANVHlO5y/1+VoICnnAfPO52Ryg9FljJ3r9mBbNoF0k72b9qm+H/eZg5EQgheGdmLCgJ+45pZalK1VCoAda3ax4a8tITHPX4f9Qd1bahIemdFHIqVkydSVrF24kac/7MgzgzqSt1CeUBPmJ3/25946vUlN9obIDoBqRhUC4c0sWyUy/snqgJK1mB6s6Z3mWgB0Q+PWR2+k03sPkXQ0GSklT9XuTlpSOgG/yfRRs6nSoBwLJy/l+rvqsW3VTgI+Jby6YckW1i7YyLQRswg4JIxsj5lJd+7pgR2ytQPfuGQrfucaN/y1JfuTzoSd65RcUSDdZO/mA6p/6z8KRi63wSeL3mb/toMULBUfMh3MDieOJJGSkErAF8AT4Wbf1oO5wehcIUHaF4ZNJ4QwUM92HdCFEGGAiSrNnUAx3fKiaNlzpJTB0txY4HUhxDKgIPAkcIpmkRCid07P5Vy06XLnjC5jNG7TgIZ3XkNcoTx0HvwYLvfpO/ODsCyLJ6p1Y+qIWbzz8GBmj1/I0f3H6VL/FaxQL49g9dwN9G83OMu+cyb+Sb8HB/P9R7/xZM2X1XzWSWoAz/e/F0+kB3QN6daw3QJfrKZUFSLDHWsJ1MNdCGWu5zJUpuRxGmIzucuqr2uGWrfQMxS0kap8Zls2M8bM4ftBv5K/WBxPVOuGNyU9NMC+Lfvp1qQ3P3z0Kz1ueYvS1YtTqUF5AGxL0q1Jb/Zu3o8QgsjYCK6/u54KSJkDg1TBWNo2Ax//jBUz15zy3t73YiuqNa5E4TLxPD+001nvRaPW9TPdv0fPqKxwsVCkbKEzBqLgNve/3IrYAjE0a9eYmk2rXqSzu7JwAS0kXgfSgVeAh52/X0cpJEwDkoG1gA94MNN+bwDbUHM+c4H3T0PrvvGk10tAd+AuFOGhO/Ai0PRcTjo3M7qMkadALL2/ezHH21uWxTdv/4AvTfX16LqGFbBUs6fjBSQ0Dc3QkUhMfwaded/Wg0x4fzK+dC/SkphIPu4ynN0b9hIW4eHpQR0pWbkYUZEeDNtEBAJIWyClhUyxMXadQGg6REWqQxkaMm80Wmq6MtyzbaS0IRAAw0C4DEfSRwNNR/P6ABcSqVS0hQQcQgSCgN9i6ohZHN13DF+66fQsqWsKCjPYlo1wGwihERkbkdGLhPI9EkLgCnMRFx+tynRCC9HD1UAWEgjYNqN6TWDaqFnsWL2bDm+2pXHrBpSoVJRBc99CSslPn/xGx4rP0eS+a3m4973Z/lDIUyCW3hPPfv92b9zH0G6jSU/18vSHHal4Tdkc3/NzxfKZaxje4yuKlCvEUwMfyZZgIYSgY98H6Nj3gQt2HlcDLtR0vZSyD6pnKDt8e4b9fMBjzutM44f06IQQL6Pmmh4LZlhCiDzAl8Df53LeuQQGB5cqgeHfxJoFG3jl1n740/1oukb7N+7jvhfvxLZstq7YyU9DpnLtndewa8M+hIB7u7UM6Y693W4w877/S6lgB+dSHLFUBNS5qTrv/d6btjVeJel4KqE6ly1D6gmEeULzSXZcFAiBtmM/pHlV5mSZKiCGeVQQ0ETI48hOTQMc5W8nuhhunZ5jn+Wzl8ZydO9xR/su6HGUidAQLLEJ6PHVcxzYfoiv3vxO9RFlh+BcVNAgEMhfLI7OA9vTv91HqpzniKhKW5E4pgcmkJ7qRTd0ju07zuNVX1D2ChFu3pj0MvVurfWP79trLd9hydTlIJUX0hcrBv7jsc6Gews+TuKRJIQmuOe5O/5Rn9NVgvOqsXnKFpXF+nfO0bbbH3j9ktWmE0IcAppKKTectLwyMFdKGZ/TsXIzo6sE21fvol/bD5VdgaHjDnNRpGxB2pV4mvQUHwVKxnN491EO7DxK/196kOck0c4SlYviDlO/7v1eHwIRml9CworZ6xjx2rcULV2A9DQ/fl8gCy0bIVQQcZEhZApIt4FIIzRPE3zACz1jOyUVxClWEKbPZFiPrzi2L8PrKagknuU3llTMwag8ETRu3YCFPy3FcBloYYrw4A5z4/f60XUdTRcEAko5wnJkgtxhLhrfU5+pI9W8ktBEqEfIHeEiT3wskwZNYdTr32K4Dbp88hjuMDe6S4m+ni99u2SVYqyasw4hBCUqn0sP47mjaPnC+NL92JZN8Yq580AXDBKnJ+GyhwuoBGw4aXklzjG+5AajqwR//76KE4eTAKdct3s4bz/wEUnHVJP0QUfJeu/mA2xZseOUX/Lte91LgzvqkHIilQp1y9A6/gnH40epa0tL8uPg3xi/fyhPdBrGYV8aenqAmA0nkLoGbgOEji0tRMCETbuRkWGQmBqaP0LTlKWElEhpY/sC4E9BuA3Ftgs2wwaPaUsObFdeSUH/IxkythMoiXC1Wjc0hq8bxIqZayhftwxDVwxgz6b91G5WjSVTV1Ll2gokHDpBSkIqRSsWpn2ZZ0N1lAa31+KWR26gc90e6lCaoM0LLWn5VHO2rdpJw5Z1ebxqN3zpfnzpfhZMWsy3e4ay+Nfl1GpWjTwFsgb2c0WnAe1p3KYh/nQ/NZpUydE++7YeYM/G/dS7vdY5kSIGzevL0mkriS+Rn9LVSvzTU85FDnCFFKU+B0YJIWoBS1HfuPqo/qNPz2Wg3DKdgyu9TLd15Q563fkuCYcTufmhxqQmprFk6gr83gCarlGwdEGO7EugROWivPvrq+QteOYH6AedvuCPcQuIjA7Hn+4jPTkNw6WjFS6EFhmu5IOccp6MjULoGqZLww53IQImxqa9CFsRE4SuI20LmZKmYkhcXoTHg/R6kYePggDbKY2BUHNaUiJNSy0L9hg5AalQqYIc3n2UqDwReFPT8aX5Mdy6EogNc2ObFi+O6EyzBxudcl3HD57gsard8KX5lcSRUM2w0lJCqbal+p0Mt4vOH3WkZSelT/fdBz8zpvcEDLfBSyM606h19rT4i4G5ExcxoOMQdEOncJmCfLHywpX1rmKcX5muTDFZ5K0uOdp258M9L9kyHYAQ4hHgGSAoP78Z+FxKOfpcxsnNjK4SlKtVmq93fkZqYhrH9ifwQuNeIRpywVLxfDCrD+4wF0LAj59OB+CerreFREVBZVRzxi9i1Zy1tH6+BU+++xAuj8Gnz49kxpi5mAELXWjYPhPhaOtIUE2soFhyTgnN8dIL9RbhaKQiURmQEMrCIbMKqgShn/QMCMkwqINFxoTTzykzGm6djzoNZe53f4XIGFaKFwRMGfo7Alj2+ypuf7xZyPI74VCiUunOVII0fWZGliU0pFRNn7s37OXvGauYOW4+tzzSlIkHh2O4dNxh7n/35p0j9m4+gBmw8HsD7Nty4D89l1ycAVdIHiClHIOykTgv5GZGDq70zCgIy7S4M6aDmoR35leMMA+FSsczcs1AXmv1HqscLbUaN1Sh/y89QvvO+Goug58eht8XwHDp/JL8NV+/9T3jB/ykHtiACA9Hj8+vdnBUuG1Dh9hIpK5huzSkZWHsOgS+gNPY6kYKoczsJIiYKEV08PngeALSVpRqbEWW0Jyykx0MGI75HkiEpubDpiR/xefdRvPz0OlYfhPN0LnzqVuYPno23jRfyDJC2hKX22D05o+JL1EA27aZ8P7PjOo1PoNl6Dw1NF3QslNz1i3aTJFyhbjtsRt5s/X7+L0BXGEuhi5/P0c2DxcaCYdOMPSlsWxfuZPH+rc7bdN0Ls4L55cZlS4mC/ftmqNtd3V49ZLOjP4t5GZGVxEC/gDDun9NwOtXTDa3G93QsXx+9m/ay6RBU9AN3SEdCIxM/T471u7hm3d+xOc3wZYEfCb9HhjE2gUbsPwWmqEpNrTbhfS4QYdA3ggsj4FrywG0LccQ4R500wR/AOFyqUe8bSPTvY4at4U0TXSXAT4/ImBiO86twuVSL6mCki2lKs/ZDhFCaGos28aX5uXLHl+h6Rq6piHcLgqXiafKdRWZ6hgYaprAsiWa46sUJCRICaknUp1AJEMBW3cb5CsSx7NDnsh4T9bscsTDFflCO0t/zsVC3oJ5ePWr5wD4YfCvtC3aiVrNqtH148eIzht1lr1zcdGQmwdkQW4wuoqwaclWpg7/AwBdFzzWry17Nu5jxpg5WKbFsO5f8dX2T5n/w2IA7sgkATPy9W/Zt+Vgli/Qwh8XhypoBYsX4OVRnXntufEEAjZmtBsrOkwFi2NOg3dqsBFVKNo2QgUUKcG0HS07R6VbCOygHxJK+VsEy3maRNi2Q1RAZU0hvVX1x09DpjFw1huUqFyUI3uP0arzrbQv0wWfYx5Ys0lVWndrybzv/+TurreTv6hivO1Ys5sfP5nmsJ2c8aUkb8FYPl7YL8v7Wbp6SQbO7sPciYto1q4xxcpnb+/xXyE1KY0vXhqLbdksmPQXdW6qzq0dbzz7jijJH8u0r1ZL8YuEK4JN968hNxhdRYgvWUBRmqM0dJdO84cbc2jXEWZ/Ox/btrEtmxdveotBs98gf9G40H7Dun/N0mkrAHB5DKRlY7gNTJ+JZqgs6ub2N1DjhqpUr1eG1Ut3YPkziZeGucGXEWgUWy6o2u0cRMsww5MBE+Fx4fK4sQMBDLehSn1CYHpVOc7wGEjbhW3ZGfM7waF0DXeYi0Kl4qncoEJoedlapdi2cie2ZXPDfdcypOsIDu85yvaVO/lgbl/CI8OUona4G13XnAxSOb0e23eMsX0m8MLQrOKWVRpWoErDClyK8IS7iS+RnxNHkpC2TfEclhCnjZrFkGdHIG3Jw73u5cFXW1/gM71KcZo2t6sVOZ4zEqp28wLQCSgFVJVSbhdCvArsklJ+c8HO8iLgapkz8qb5WDN/AzWbVAlNtG9auo0XmvTGDNiERXjoNeEF6t+WQe1+oMQzHD+QAED9O2rTe0I3Vs1dT/XGldm7eT8ut0HJKsUBlUU8d8s7bF6yFRnmhqLxCK8Je/eDZSMtC4FUStiGrkgKbjea263M9JKVdYErIoxH3ryf2x5pwvbVu6nWuBKPV3+JA1sPAlD+mrIMnteH1gUex5viI8SKcFjdv6aOO4VIIKVk7YKNFCodz851e3izzfv40vy4PC6GrsiY7/F7/aHrG9RpKLO+WQBAZGxEtuaDlzIs02LVnHWUq1OamLicZTmv3t6PZdOVrU3JKsUYvnbQhTzFyxXnN2dUqpgs/MZzOdp212M9roo5o3MpcvcCngb6krXauQ3I0bsqhOgqhFgmhPAJIUZnWl7K8elIyfTqlWm9RwgxUgiRJIQ4KIT430nj3iSE2CiESBNCzBZClDyH67qqEBbhod6ttbI8qMvULEnDlteg6Rrl65ahUv1yWfZ5oHsrwiI85C8aR9uXW+EOc1Pv1lqERXgoV6t0KBCBalp96H+3E5MCI8/AAAAgAElEQVQnnEgdShXOg6ZrlKpXgfCoMGILxFCkTEE0XaNM1aK4PC7yF4qlQLE43GFuytYpq7avVIQb72tIbP4Yajerhstl0OH11kTGhBOTL4r2r9+Dy+3iodfa4A53E1ckLwWdzO/e/92ZLaNNCEH1xpUpUCwfleqXo8I15RCaoP7ttSlcJqNRPPP1tX6+BQVLFsAd5ub+7nddgDtyYaEbOnVurpHjQARwd9fbiS0QQ2RsxGV5zZcLpMzZ61KGECJGCPGOEGKREGKrEGJ75tc5jXUOmdF2oKOUcp4QIhmo6WRGFYAlUsqzum4JIVqjktNbgfCgz4YQohSwA3Bl580uhHgHaAS0wvFmd85lmhAiPyogPgH8ArwFNJZSNszRhTm4WjKjM8HvC5xWrDPgN9ENLceeO5alyASGy8DvN3G7DcyAcn/VdS10LL8vEDL0C/jN0LLTnUfmMU4+NyFEaIx/45qDsG1VCsyJEO2VAstSmoWGK7eSfxqcd2ZUqFfOMqPdT1y6mZEQYhJQG6VFd4CTaBkO7TtHOJdPWqH/s3feYVJUWRv/nVvVafKQsyAYMKzKIuYcQRAjYs6ucTGhrgqKusY1rXn10zUiJtRVMAcUEEwYEBSRnAcmz3R3hfv9cat7eog9BAXs93n6YabCrUtXT52+57znfYE5K9keJcsV1gbyZj8GmKy1fjkY+0agTES21VpPbcI1/vRY3UN5ZQ6wq4NlqbRCdzg4N/PBlrpW5jVXtm15rOzhmDm3pipfZ3O8UmqN1hybGyzLMgYEOWw4bB5yQIcAB2itmySKujI05S9sAo390FMR8ALg83WdSIBZIjJXRJ4KVjysxps9pVu/feY+rXUtZqWU07XPIYccNlqIzu61kWPu+hqoKcHoCuBaEXkBCAPXicg4YABN9DpfCdbFm71guX3L718lROTGlK/8/Pnz13LqOeSQQw5NhBbws3xt3LgQuF1EdhKRdVpLZx2MtNbfYLSHpgBvYFYrn2JqR1lZ065m7Bqt9Vdaa1drvQi4GDhURIqAmuCwooxTijAGUQT7M/ctv391171Ray1aa2nXLqdQnEMOOfyO0Fm+Nm58BBwEfAMkRcTLfDVloCYVArTWyzAEgQ2N1C3Ixpt9MnB66kQRyQe6kqV3+58Nc3+Zz9jXJ7J7v578NP4XCksL2LN/zzUSE3zfZ9ybX1NTXkP33bfii/99zV5H7Zq2m/7t+1l89d4k9uzfi0njfqVNp+ZECmP8+tN8eu2zNRPe/oZte3WlcnElyxaU85f9tmP829/y14N2ZNZPZqXfefv2fPX+D+xxRA++/2wKzdqUUNSiiKlfTmf33jszcfS3dN25M4m6BAt+W8Qhp+5HrCCK5/mMHTmReF2CrXtuyYS3vmbf4/ZYqTV4Nljw2yLGvDKe3fr0YNo3MwhHQ+x97G5/mCV4DpspNv5Akw2y66LOAk1h0/0dKFu+n0hETgKaaa0fzGKMlDf7DRgCw7ms3Jv9YaBVylFQRG4H9sDUrFpj2HRnBmy6lsCvGHfCt4FhwH45Nt2KmD11HufvMhjQuI5PKBpGKeHwsw7govtWsLpvhIcvf5p3nvoE3/NI1iexQxYgPPL17VQvrebqQ282VNSSEsL5MXxL4Ueixh9o5nxCYQu3Po7yPUQpXC3pxtlQyDzknaSLHbJw6pOEoiEznhIs2yJZGyccsXGTTuBCrmjZqQVP/XQv95z3GJ+8NA7P9XHiCeyQkTT6v5/uo03nrL29AFg0awlndR+E1hrX8QhFQigl7HvcHgx+KjuV5Rz+FFg3Nt0WHXXbqwdldeysiwZvtGy69YmmrIwuA05eyfbpwC3AGoMRxof9hozfT8EEj5+BW4FWQBVmBbS8N/sjGG/2euCOlDe71nqJiBwbXP85DNHiT+2H7DouI/89is9HTmD3vj35fswUWnduSU15Da7jGhkdEZLxJCLCZ6O/57C/zadb93bMn1nGM3e9jfY1bVvn8c1737F73x589soXJOqS+IE2nJNwCcfC1FXVU1NRhyghWZfEQowaeCSMtn0812jIOXEf3/HwUm6ukTBOwgXfJ5lokPNxEi5aa5L1SeO0all4rpEMSsYdfM8DrXEds4IZfscbjH/raxJ1SbQ2EkFOwiUcDVFfE1/le+R5Hm8+/C4fDx9L/4sO56CT9wEgXhs31uKB8Ksx3VNULV1j1jeHHLLH5mOuh4i0w9SOtg02TcVYSMxr0jhNWBnFMaoL05fb3hVDrY425cIbGzbllZHnelgZoqZj35jIrSfeZ4KCMv03KcO6RqmBvBhEo1itSmnZoTnPvncVVx33AD9+OR0/HsdbWr6cV5BlLBR8DzQMfvICDjplH3zP5/UHRvOfq54Dy0Y6tcEvjKKjYZSjcZVPePoCo8DguoYhFA5DMmGUuLVOK3OrUMjYhqeuqxSiAg07MTp12vMCBe+Ucp2BOc9QkK4ffhl7H7sbIrLSFOS3H/3AkCNvDxQYbJ748V7adW0DwKcvj+eWgfek1Ry2231rhrx8BS3aNVthnBz+tFi3lVGnjrrdVZdmdezMS67caFdGInIQpr/zO2B8sHkPTCnlSK31B9mO1RQ23a/A4SvZ3hvTsJrD74yFMxdz4a7X0LfwNB65/Gm01vzy9XQevPj/TCASZTyFAjVr4wdkIUqZf5NJpLaOkNY0a1HI8/98le/e+BxnwSL88kqjRG1biBJCkbBZqYhGBQHi1ftHcVzLszl5iwto06UVsYIYqmNL3E4t0YV5hMpqUIvKCS9YBsEqzCouRoqLUGEbiUZR+TGkqBBVXIgKmkrFVkjIRsIhVDiE2DZYJi0okG5NVyHLeB9l1HJEKUAx/I7XOab5WZzU6QK+/eiHFd674hZFaF8TiYVRlkWsMAaYldDHL44FVNoKfdZPc/ntu1kb/H7m8CfD5kFg+Bdwl9Z6D6315cFrj2B7k1wdmxKMbgX+JSJ3iciRItJPRP4F3Bnsy+F3gO/7fPfpZGora/ly9CRm/DgHN2nScq7j8cFzYyibt2z1g0jwpU4DrkvrmHD7E2fx/C2v4ns+uK7RjsM83J+f8TDtt25H4A9OajX923czqamopXxRJSPueJ3//nwfdG1nLBmq40jCMaugZSbFlTbNAzO+CNi2CSB+5l+dsXVIqXsb8z2z33e9jGPNPtHLrY6A6ZNmUFdVx9L5y3j+5ldWeAu2/MsWPDH5Xs676zSenf4gpa2Ms+3sKfP48t1U25oZq7ayjlfufhPPMzpvddX1q39/c8ghC2wmfUbdMeWR5fEsDWm7rNAUavcLQH9MP9CTwH+Dn4/WWj/blIvmsHZwkg5nbjuI6/vexsAOfyNWFCNWECUUsdnloB2xbMVfD9mJWEEUO2xT1KLQpLiCD7RlWxSU5gcP+oZx506ZzQk9huJHIyBCOBYmkhchFLHZ55jdeOzKZ5j783zSA60kQfHrtzM5dcuL8BcsBd/Hj9oNxnSBaoLvrKD01OAbpDIGTTu76obAk0q1yYrHxYrzAkIF6fkVlhamU5c/jvuZmwbcvcK123ZpzZEXHkZp6wYlqzZdWtG6UwtCYZuCkgJCkRDhWJjdj+zJad0u5vp+tzGw/XnM+CG3UsphHaElu9fGjdkYavfyOISVK/asEk2ldr8HvNeUc3JYf/j+05+YH6hWh6MhfNdjxLzHKJu7lFDE5pkbX2KbXbsxfO5j1FbW0apjC45qfR61VXXgeWzdqxtnDBvANUfcbmo2StCJJJ7rEl+8FFVUQqxlCwbffwpORTVTJ07jwBP34apDbzYsNqVQloX2g7pNBjzXM1YOU2YR7pA06UHXBc8zTq7RKETC+DW1EI+jPY0qKjB1INdFO64x19PapBBDtkkvBtfFUuAYO3NtKVAKP+kglnDxPefwycvjmTjq23Q9684PhvDSHa/z8YhxeI7H5M+zU4YqKMnn/ybfw7xpCyhtU8LI+98mmh9h9749eXzws7iORyQWZvbU+XTZMafHm8NaYtNIwWWDYcBTIrI38EWwbXfgeODspgyUsx0PsLETGKZMmMaVB9yAkzRsuN379WTwUxem1ZiPKj2dRL1hfl14/1n0Ocd8Wfn0lS+46+xHSNYlsCyF5wb24M2aYUXC+PUJvPKK9IrjsEuPpFPbAp4ZOgLP9fG0cUH1fT+9yvKTxucHbZSwEaPx1qtPD76YOBssC510jG24xhjsCfhJBzwzjuTnpa8pAr7j4JVXGVvx/HyUbeE7LjqeQETQvmeuZQV1IsCvrzdjiULZFm7SMQQJJdghmxtHXsnzt7zG0nnLuPC+M9mz/65Nes+vOuQmfhr3MwB7HNmTTt078PqDo9n18F245MGzyS/KW9fbmsOmi3UjMHTsqNtffllWx864/IqNlsAAICK7Y5wbtsW8L1OBf2utx6/2xOWw2pVR0EHbVmu9WER8VhPLtda5jsANhPLFlTw77KU07dkO21zywFmNbAE8x8N3PZQS3GRDOmy/43bn0xHjGP/W17iOm057qVS6S0gb3iGgaqoZ9cREkgnHrFKUjR8EECAjhdZ4jqFIiNadWyJfz21c/km5pZK6XEBRWx5a0gGuEQR0sFFrnVHuCrb5Gi0+vpNRN/I1TtLhg+c+49a3/0F+cf4q3tnVw0k4eJ6PYHqgTh16PKcOPX6txkrhw+c/Y/htr9Hz8J05fdgJxPI3aRJqDusA2UzM9bTWX9CwKlprrClNdyCQqoavt07bHLJDbWUt+cX5vP3Y+3z13ndorVGW4vZ3rqdVp5aAeUDXVdfz7y9u5ZW7/8d2e2zNQafsQ31NPbGCGLWVtQx69FxqBtby7cc/pFcjfmUVtGiGLshDlEKXmdv87tOf4ftBwNDamOFZFtrzTRgRQ2IgI0Cgoaaillfu/h/YFlbrlobJZ9nmL04EEsbuWyvL1JAsCxwHfB8dXAelwPPxa+sgGjEMwIDSnYIO+qTMaslvIDdIam6pA+HzVyew497d6fu3Q6irqltlUKqtrCWvKK/x+cCQly7npbveJJIX5tjL+q7z/ayrrufOMx7E93wWzFhM1506c8ip+2V1rpN08D2fSCyy2uPqa+oJx8I5tYhNAZtoUkpEOgFztNY6+HmV0FrPznbc1QYjrfWnwcXDGA+iR7TWTSpK5dB0JONJhva/g28+/IGuO3emz9kHEQrbWLZF684t2Wl/I0g+5+f5XNfvdhbPWsIBJ+7NVU9dyOSxUzmt68VUl9fQqlNLFv62iObtm1O5tAa0YBXmgyj8RAJv/kJQikjHNrgRG3yNl6oNhcIBHdwPepRM0NFo7EgI3zVNr8aaW/BdE1RU81IoLgxy4uYcqY9DKIROJqGu3gQhpUBr/GQSXR8HEayCfLQIJBPmWFGofEO40PG4qUEBeJ6ZR9is2izbxnXNwt3MzSMcC+O7HpFYiLO3v4x50xaw19G9uG74pekHte/73HrS/Xz26he036oN/3zr2kYSQs3alHL+3aezvmCHbYqaFxCvS+K7Pq23aJnVeWNeGc895z6K53qcd+ep9LvgsJUe99jgZ3j9gdEUtyjkxtcGs22vrdbb3HNYv9hEmHKrwkyMpdDi4OcMeiuQ7tBD0wQjkmx9iJIY8dKc09bvgEWzlvD9mCloXzNr8hzsiM3DX9/JVU9fzL/H38rY1yeybGE5kz76kSVzluK5Ph88O4aKJVWMeeULyhdV4iY95v+6EN/XlM1bRrI+aVYjyjIP96RZqeD7tCkK8ewv/25IwaWQSt/ROLEWiYUZPvdRjrr4cO54byjHXdYXlTK7Ky1uoGWL6dVJ0bglk/SQulbSMf8GpAQRQbu+uaJlmaAVkByWmxxKKV6Y/QhbbN8xva1Z22aMXPYUVz5xAU9MvhdRikUzF+N7PuNen0htZR1TJkxjyoRp1FfX89mrX+B7PotmLuH7MT+t451bPcKREM/NeJgrHj+fp6bex1/23W6N5/i+z4u3v05tZR3x2gRvPPTOKo/93yPv4SZdls4vZ/z/1tleJocNjU2XTdcFWJLx85bBq0vG76l/s0ZT+oxewRjZ5bCB0apTC7YJrL9dx+OBi59kxvez6dWnB2ds/XfuOO0BTt3yYmJFUYpbmLqRsoTTul7ENr26UdisADtk0apTC6Ch98ZS0LyN6aeRaEOtYt6vCzljl2uRcMqqO4NaneoLyphfIu5w0hYX8fpD73H14bfw6v2j8APFhJaFRsstPY7WpllWa7S13HcZrSEgI+D56WZWSaWYAukftG7U2Joa2/c8zvvLFfS/8FBiBVEisTDHXnYEeYV57DdgT9p2ac32e25Ds7alWLai52E78/QNLzH44JsZfPDNPHHNcHbr0wPLVjRrU8r2ezWpLWKtEIlF2P+EvdJp1jXhygNvYsZkk4ywQxa9z1kZi9bgsDP3xw7bFLcsolfvXdbLfHPYgNhEm1611rN0A/NtC2BesC39AuYF+7JGU1Y6i4GhInIo8C1Qt9wEb2rKhXNYNSKxCPd+ehN9C04lUZfASbi89Z/36b57NyoWV+J7PuFoCM/1OPKCQ/jv0BEmTRayaNa6mFOGHsfsn+ax2xE9uOmEe3AdHwmH6bpLZ44f1Idbz3wElRdDF+Shkw5ebR1ebR1i20jIJi0dJBrtGmFTEUErMSKnjge+j+dkrnTAjoS46IajeWjIa5QtrTZBJJlEK2VSEk5qFWSZL3yJZEOgUYLvBAw8XyPhkEkb1tSaZZnnm9oWpvdIlOA6HjVVCRJxh2MH9aa+JsGBA/cCoHxRBa/c+xbFzQt5bNJdJOodSlsVc/l+N5CoSwDw2w+zuP/zmylfXElxi8IVZIMqy6p47f63icTC9L/ocPKL81k8ewmv3PMW7bdqQ++zDyIcDbMhMXvKXNykB6I4/JyDOfbSVdeuLnngHE4fdgJ5hbGcXfgmgE04TZeJj4G2mPiQieJgX9ZpuqZo0328mt1aa31gthfdGLExUrvHvfElt536AIlAJXun/Xdgn2N25cXbX6fnYTvRbZcuPHzpUyTqTV/Pif84ClGWUQtwPSMwCqi8PCOrg8atrkX7GqtdG1Q0jF9bh1+2LGg8DXTgxKTMNDpNPBDLAtsCX+MH28CQBrQpJgFgFeajQqaWkz4mFjN1pdo6SCQwbAOzz086RkFBMNcFIwNkKXzXQ6caZYO5GWUIbU5XChDE94KsoLB1z67cN+YmLux5FTN+nINSwv4D92Lwk0Zx+9dJM3lo0FNorbnovjPYqseqMwlX7H8DUyb8Agi79+3B0Jev5OTOF7BsQTnKUhx3RT/OvPnEVZ6/PvDlO5P4z9XP0a5rGy6674z0ajeHPxzrlD+Ltu+oO110eVbHTrvu8o2W2h2wrFtrrZcst70H8KHWujTbsbL6+iQiWwIvAiHgM631d2s4JYf1gD3778pO+2/Ptx8abTVlSbBSciibX843H/9Est5BBX01pw8byPP/fNXUZ9I9PA11H98zqtZARgBJNQyZaxrp0YY6UeqQNCF7hT/Bhi8zEmi5Ccsx7pY/Las/Y1npjw0DBpNSpOnpmaKoEvzrJF0+f20CnuPx7Uc/svfRvbj9nWvXyEp7/9lPmTJhGq7jYYftjHGD91YkfY0NCSfp4NQnSNTFTVNxDpsPNuGVkYjMoCGR+NVyRnoWxurnhZWdu8ox17QyCtJybwAe4GDsvC/UWv+nKRfa2LExrozA0IHfesx4Ch5wwh6c3OUis7KJhPG1aQbNL4jy0MRbad+tLa7j8tELnzP3l/n0OPgv/KPvbbgJD7ENGUAnkmnNN1VUaIgBtXVGIy4UMmm1gDJtKN2eoV1rDMtOpWR9UkEs9UDW2OEQt71zHXdfPYLFS2vA00h1rSFN+J5RU3Bds8JSCl0XR3tu+lqIAt8zja1gFBk8L11zEmWlbSJEjEaesi0ue/QcyhdVEq9NcPzlfSkoyadqWTVXHjiMGd83lu2J5IUZ+vKVq62paK05PHwCvmf6mnY74q9cO/xSYvlRli0s5/UHR9O+W1sOPGlvQoG464bCsS3PSttX9Dn3IC577PwNer31hYollUTyIptzH9W6r4wuyHJlNGTjWxmJyOmY9+BJ4FKgMmO3A8zSWo9typjZrIxuxujQXay19kTkGoww6mYVjDZW5BXGGHDlkZTNX8bl+w41D2JlAoEdsnETHvU1cR694lluen0wdsjm0NP3x0m6/OO4+6CgCLHq0DV1oBRWuzaIbeNX10B9fQOrzXWRWBSJFaFdF7+6Fu16NFhHCGIpQ4YQQywQEVDBEFrjJpPcccFTVNV7KI3xNCqxobwCko6R+SkuMmO4LlKQl6Z/azTEE0HfUIZtRUBcUJFw0IfkIZ6H1j6ijSzRf65+nmS9qUflF+Ux4Mp+vPHAaGYHDrJWYLZnh83Hve2Wqzbcq62q4/J9hwaBSLDDFn3PPzT9UG3WppSzbjlpvd/nVaFbjy58/+lk3KTHu//9hLZbtmbg1Uf/btdfGzxxzXO8dv8o7JDFVc9czN5H7fZHT2mjxKZcM9JaPw3pFdI4rbWzrmNmk2fYDrhba51aht0NFItI0yw0c2gykgmHj18cy/RJMxk7ciJL5i4FTDrs2mcv4YABu6OUWSFMGPUNS+YsTZ87/btZTPnqt2Cg4HMSCuwYRMBJpqnb6WbPQFVbu42JCUBgH7GcCoNK5ciC1JyG8qqEqRelGHUi6etLyG48RpoCHjSurixvkTpcZVw/tSM4vKa8jmTcIRl3eP3Bd6gsq+LNR95Np7W6774Vr1c8zZARl/Pi3MfouE17AMrmLeWdJz+ialmDcd6C6YuYO22B+e9ZirNuO5nd+vRYxR3a8Lj9nevpulNnwKhsfPDsmD9sLtnig+fG4CQc6mvifP7qhD96OjlsQGitP9VaO2LQVkQ6Zb6aMlY2wSiPjCVYEAHjQEHTpp1DU3H+X6/m3vMf5+I9ruORy59uqBmI8M9THuDjF8ealBrmwXlm90uZO20BUydO4/L9hqATSSOhEwoYX8mkYbRpjcTyzIPestAB80qCsSRkp1WyxQ4+In6DGpRYDak5gFh+hLZdg2bR2tqgHhXUobSGSHD9FFUbGuSFMtW4RbFiQJL03HSmunfm+KTmpilfVM7xbc+jpsKQPfOL8zjpH8cQiYbp1XuXtJ7cjB9nc/pWl/DQoCc5ufOFVCwxH/GO27Zjp6D/x/d9nrz2BT59uUkSW+sVIsJJ1x9LUYtC8opiHHdFvz9sLtliwOAjieRFaNa2hN5nr5qK/qfHBqJ2i8jFIvKViCRE5L/L7TtIRKaKSJ2IfCwiW2Tsi4jIkyJSJSILRWSNeUQRaSYiIzAxYS7G2y7zlTWySdMJMFhEajK2hYG/i0jaOCdH7V7/WDpvGfHawDpbg9amEVQHFAHPMSrXWgc/ez5vPPQOO+y1LUqEREWVqfv4GgmFkJCNX1mFRCKmRlRSjIhC7EDuR4O/bJm5WDSCClmGzebUoT2CgCQghoqd0orrunNndj18Z566fjhefRy7qBBtK1OLqq03gSY/z9DFHcP885OB9l04bOpIrosWMXUhzzPzkqBHSjC1La1NP1OgzG0gackgEXBdU8dyfY0dCXPGzQMpm1/OsOPu5phL+7Dj3t0BKF9UiYgQr00QioSorayjpGUxkViEW0dfx+GRgeY99TVL5pSl78msKXMZfutrdNi6Lcdc2pe8wJSvKZj36wJeuPU1WnZoznGX96OgZPXaeXv225Xd5vcwuoSbAGX7mEF96XfBYShL5WSJVgXNhtSmmw/cglHNSX9ARaQF8BpwDsad9WZgBEZlG+BGYCtMf1Ab4GMR+UlrvepOa3gQQ1bYC/gEOBpoAVwHXNuUSWfzyR6D8S3KxDiMrWwKGsgFo/WMYSMH89+hI+i4TTu01syZOp+/HvoXJoyaxPZ7bM2yheVUl9ewdY8tGXHnm/haM+rxD2nbpRVHDzqCl+59GzQoW9hhr20oalnC+He/R/u+yXilVhVu0MqzaAlg0nYdt2rHXw/fiZF3v2Emk0qnpdJ2SqVtJH4a/4tRt9ZgNW9m/tBq69GJID0X+CTpgGqutY+Om14fHDdgpUlDs2uGmEhjFl6Gkqrhdqfn8pd9u9NhqzZMnzSTXXvvwsTRk9hp/+0pKMnn/oueIFGX5ItR3/DqoifIK4yx037bcdqNA/ho+Of0v+jwtOV4Cje/eQ3P3vgS3XffmsPPauhauPqQmyhfWIGyLeK1Cc65/ZQm39fr+tzKghmLUZaiqqyavz987hrPybSV3xSwoYkdmwU2UM1Ia/0agIj0BDpk7DoGmKy1fjnYfyNQJiLbaq2nAqcBZ2qty4FyEXkcOANYXTA6GDhca/1NQPOepbV+X0TKMTHhzWznvcZgpLXeP9vBclh3VJZV8a+zH+X7MT+x477dmTd9EcmkB57HwplLKGxeyLxfFxLJi1C1tJq66npUQCwQEZIJhxfveJ3BT13E6w+/h+t4+L7P0vI41dWL0qUarc2jXPsaVECKkJStN1RU1PHbpJmkbCJ0KkCkgkRDXML3NGjf1J5836zGIF2P0pjsmg7SDqmQklr5SKAz59Gg9pARdtLMuRR1PH0yGlGKUCTEKdcfy84H7ADAi3eMZO4v8ygojtFlx05G6CFsoyyVli2ybIsBg/szYHD/ld6HOT/PY+60BYRjYWor68gvzuOJa55j2YIKjFKRIlqwdkyxaEGUUNjUz2JrOUYOmzaEJhEY2ok0OnqY1vrGtbjs9kC6LUdrXSsi04HtRWQR0C5zf/DzUWsYMwSUBz8vCcb4BZgG7NCUyW38a/5NHEvmLsUOWY3cRFeHiaO+5ZsPvidZn2Ti6EkgQsXiSlPg15oJo74FzGpEBwKmZXPLTCorEDUtX1jB8ze/zOOT7uKcXa/FF4v5vy0OGk5B5+chtoXnuYbB5roQixm6tVJI2Ka6qp7vP5sCto0fqGujLbMi0pk7b7YAACAASURBVNo0n2ofnVF21FrjLV4CrVthntjKBCDXxfM8cBx0yo5CBD+oIXm+Yqf9uzPg8r5c1/9fZlxfp/ebFZOg8Vf6bfKaZy5OB6JkwuH//mHaGyZ9MpmdD9iBO965jkmfTObQ0/ajbN4ySlsXr9GL6LErnsH3fH74bAqfjBjHQafsw2v3vW3o5Epx+NkHctK1a6eOdc+nN/HuUx/RrG0z9j6m11qNkcNmgOyD0Xytdbv1cMUCGjTlUqjEtOsUZPy+/L7VYRLwV0x9aCwwRETyMCuqn5syuQ3ftfcnxlNDXuSMbQZxypYXM/KB0Vmd02XHTihbpesk2nWxQzZWyAI0eC7ieyjbUJXDsRCRWJhofoRwLGzOBaZM/JULe/0DtzYOVdVQZ9xe8TyoqsYpiZDYsSPJnbeELh2Q1i3QtqDravGrqk29x/UQBBUKG6kgwTippqnXCssWQ522Q4gdQnVoC82LoTAvLSukg9qRjich6Zh/tVnVSDiMFYvy4xfTuXng/WZ8pdJ9T6JUw5IqQ7khpVmnfY/7/vYoc36eR/miCk7vdnGaHeg5Hs/c+BIzf5rDydcew0ODnuRvO13BwPbn8dV7q+/b3m6PrYnkhQlFQmzdc0sKS/NpvUVLowzh+Yx+4kPGvfll0z8UGLr+0X8/gv2O3yNXU/mzQpNW7l7Taz2iBihablsRUB3sY7n9qX2rw7U0BLCrMf2oI4CtMbWprJELRhsQ4978Kk05Hv+/7Bpqu+3ShXs+GYYdMg8py1IMvLofA6/un64biBKu+M95/P2Bszj1+uN4YPw/OfzMA/n3uFvZbo9tAPBdn9qq+jTbbnn4zQuNxI5nggJKDNlgFVje6wfAshVn3nIiR19yOFYQBKUgcHB1MlS2vYa+oeWhbNPD5Doe9bXxhhRcpvkfNHyLXL5JW0NdVT0fPDeGz16bQMXiyrQwLBgFholvfwPAV+9OIhl3iNcmmDx29Tbk93x6E/eOuZnhcx7F94wq+kNf30E0zyg3JOMOkz76cbVj5JDDauFn+Vp/mExGrV9E8oGumDpSObCAxlyAnYJzVgmt9Xit9fvBzwu01odqrQu11jtrrZskHZ9L021AnD5sAPdf8AShiM1J/8i+UXHLHTtx0Mn78O5TH6MRXrzr7bQJHQBac+eZjxKKhhERnrz+ReyQzZsPv2uCQqoopH1Dl1Y0fKiDffbCSpyOzdGiwXFNeq6oAF1ZTdo/L9X7I9B5h04sW7CMiiVVpvnVdfF9zZPXvhAImJqosf02rZg6YxleyAYliKchZKMdFxGFlkCd2zJGevheo/4hrTXie2mri9T/l4D1bVQh3EaFJc/zGXHXGyAqMAZsQEmrYo4P6NBn3Hwiz9wwgnZd27B/IKi6KogIW/XYkpfvfpOnbxgBwCv3vsU5t5/ME/94npYdmudoyzmsEzZU06uI2JhnuwVYIhIFXGAkcJeIHAu8DQwFvg/ICwDPANeLyFcYhty5wJlruNZ7GKm4kUFAW2vkgtEGxN5H9WLvo5peE7Bsi78eshPvP/c5Wmt8Xxt77eBB6/tGwSBR46YVC5Kukc1xHS+tmeZrQYVD4Pv4vmPCRSiEyo8hSqHqkkg8iV68zKga1CdMU6wKXFqVxk86KEuxw55b8dv3s6lcWm0CXKB+oNOKCZrSVkX87ZYTGHLhf6morYOEY1ZIIRvJj6FdF3EDKSERCBm3Vp1ImP+b79IgmZfqOQqijmsIEmbRZOSMjBirIVf4nkZUUMsKIErRYet2tAkM8467rC/HrcGxVWvNh8PHMeqpTzj4pL2oLKvCTbp4rs+C3xZRVx1n+z23of1WbWnZoXmjc8sXV/LcTS+zaNYSzrhpIN126dLke5/DnwgbToHheuCGjN9PISA9BIHoQeA5YAIwMOO4G4BHgFlAPXDHGmjdBGMMBh4RkQ+BlzCBqXL1p62IrFW7N3dsTNp0C2Ys5uztL8NJuCaYKIX2PaMrtzxS7LZQiLQVd3BPVUotOx5P23pbsSggJHbqjM6LYJXXEJ611BAJlpkvNhKyETtkVmIp2wdt+pi0r2nQowumIEJxy0JuG3Ut11/zKuXltVBWAQvNuFKYj4jgJxLp9J3Y5nuQn0gGhAXf1LPMgKTzcxm0urNuOYFZP80lFA1R0qqIEXe8aRZNltCr984UNS/i/Wc+CeZoxrBsxT7H7MZ1wy/N6r2fOWUef99vGMm4QzgW4oYXLuHtR99l7OsTDWswmJNlWRw9qA9/u+u09Ln/vuhxRj3+Ab6nadmxOc/PfCSra+awSWKdtOlibTrqLU/PTpvupzs3Pm265SEiOwHHAccDnYH3gRFa6+eyHSNXM9rIsHR+Of886d84CTcILjpYSARKBIECQbqGozO2qYa/jxSl2rChzYM51VokljL9PWACXdC8mrZpSD1zMxR9fE9nPOQzJIQENJrqpdV898lkikvzCdmWScOl5qTJzMQF19CNY04jlfHl/n/Bzz+O/YVBj5zHObedzI+fTU3T1H1P8+s3M9ij318JhW3CMZO+DEVC+J7PZyMn8L9H38vq/c8vNFTrcDSE9qFVxxYcd3k/7FDDuJFYGDts0Ww5hmRp6xLscIhIXpiSVsVZXS+HPy/+AALDBoPW+jut9RCt9bbAAZjG2aebMkYuTbeR4dNXvmDGj7NNkBCM0kHSDaKIgnAIXA/S/gkYCnUo1GAlLmLSZ0kHnRdF5ceMkoIAkRDJ5gX4sTCqvApdVo1fV4+OGlUGwiEkEjbK3LV16KRjFL/T0IEahJf+FUz55783jGDEgie48Kj7WLhY0IX5EE+gHQfPIZg36MCO3HdTSgpB2s6yDZtOMgbWOm138e1HPzDp4x9xHY9pX/9mVlTBYWXzlvH5axN4bNK/eOPBdzjyosO47/zH+f7TyXhJn2dvepl+5x+6xve/ZYfmPDbxFkY++B79zjuQjlu3Bdry6Ld38fX737Nn/11558mP6Lx9R/Y5dvdG554y5Di233Mbls4vZ78T9sz+pufw58QmEmiygYhEgD7AAOAIDDvvoaaMkQtGGxFG//cT/u+Gl3G8jJWHG7DSQjbSaQtECd68ReiaWgyLMqBbJ53GxBsBq2UzxFbo6hqIx01Tq7IILakm2baA+FbNsNoXUTi9yHwLW1QGSRddU4euM9puKWq1iKxg/Z1SYACz2nKTHgO3uxJthZCEY1Zn0QjUBergKW06zzN2FUqB8sE3/VIpuSGxlLmu7wcyQIAITtLlloH3MeiRc8grzsP3faL5EWor6/F9+OTlLxjz6hdYluLjEWM569aT+PnLX/E9n72Pzk45urKsmkv3vYF4bYKPnh/DwxNvo1XH5nTcpj0dt2nPkCNv59uPfkD7GifpctBJ+zS8ByL0OPgvTbjjOfyZsQHlgH43iMhRmADUF1NnehU4EvhUN7EGlAtGGxF+Gj8NN+mufGeq50bEBJYUMqUKMiEqEDSVhoCWoZDtNssDJVjJoAnVJ13PyQwyq82MN5ZJwPN8tIthw2V+DtN5v8bHN9qXFj7NTNEZZQjt6/R5ruNRvqiS4bMfZf70hXTYuh1XHjiM78dMwUu6+AJOQProtnNnRsx7jLrq+Apkg1Vhydyl1FXVk4w7OAmXj174jBOu6p+e0+SxU0nUmRXolC+mNQpGOeSQNVLcnE0fj2P07o4GPtZar3WIzdWMNiIcO6g3HbZqYx7KQV0FSPv44Admc/lBL49lpYkAqeMkFkUiYdA+fuBXpPILjKGdBKoIliI6rxpxfLyIhQ7M6yg1dQ6x7QbLCGsl31dS9Z3UviCIaK3RVVVm3rYRUxUwP6fSjCl4XmMV7gx32lRvVNuubdi211aNrtl9t6048MS9sWyLjtu0R0Q4945T6PKXTrTr2oZde+9CQWk+vc8+kK47dSa/OD/rQATQZYeO9D7rADNF1+PZm19h9P99lN5/8UPn0KJ9M3bYa1v6X3RY1uPmkEMmpAmvjRUiEsZ43d2itf5wXQIR5FZGGxXyCmMUleYZK4f0J1FQeTFTE6qoQldUg+8Zo7qwjWpWgrZs/CVLzeERo4ItWqOjYbzWJVBZg9TWmFWHbaMjIdxCi+otNHaNT/6kclRZDeRFIWHUEVTUyAP5rmvqTWQQJDJXPakAEmzTnnFf1aKMj5HrGnO+vJDpZwp6l7TnBQy6jM+vKEQFv2ufwtI8WrQvbQh+omnWpohIXrjR+7Ztr27859u78DyPV+7+HwtnLMayFIMPHkZR80L+dtdptA3o3WuCshRtugRWXb6P9hXJRINv2IED9+bAgXtnNVYOOawWm/jKSGudFJHzgIfXx3i5YLQR4YXbRjJlwq/pD6koZWorvob6uKm1iBh2nNYQiUBeDEGQlNeRUwuAti3o0NqsPCqqDC3ctgGNSjgs2TUPp5lF4bxKZHEluH6DCZ6l0iy7lLp2JlMvhXTzaTBXANWyuWlYTSQgZSkerMp0yuQv0K0TCFJwZpDiFoVcdO/p3H3uoyTqk/zy1XSmfTk9LQekNYx/8yu22bUbJ1y1on7jzxN/5dlhL5OoTzJ76tw009CyFENeuiKrezDjxzk8NcQ0uaqQzZEXHEKfcxqaW+uq69fKNiKHHJbHpsKUWwNexaiB372uA+XSdBsR2nVtHag5m9/TNt8qWCbp4KGfSuMFKw0BQy7I4E8bQpqPoCEcJsXr1hqwhVCFg3gat8AEu3SdJoPanR4rRTFfbltaBQEzth2yUGhCYSvFKU9N2/yaKfGTonZnoLKsimeGjSBRnyAVb33fxw4Ut0MRG9fxePamlxnzyoqGd6WtS0CEaH4EpRTRvAjhaJj2W2evMVncvND48NgK3/X49KWxzPtlPp7rceMxd3J06en8becrKZu3dM2D5ZDD6qCzfG3cWAwMFZF3ReR2ERma+WrKQLlgtBFhwBX9OPysA7HCEQiFSHRoTt2e3UgWRdCei1agC2LQpaOpGyUd/AWL8WvqIGyb3p5wGPLzoKgAauLo+UuN5lw0atJ9aKq7lSBumOZjltF8YhVSWoRbGDWf+7wYtChF50XRrmPo0xCslMw8tecbkzulGhjYvo9G88z4oTQvjkAiYezLHQ8/nsCrjRtmHJj6kq/xkq45z/fM/891mTN1ftBc6wdyREJ+ST6vLX0qrXyeqEvywq2vsTxZp+2WrXl+5sMMeuQ8Riz4D0NevoI73x/CWbecmPU9aN6ulCe+vws34eA7DssWVDBx9CTKF1cy4e1v8H3NvGkLmDzul3W51Tn82aENmy6b10aO3YBvMIaru2F6jFKv/Zsy0O8ajDaUHe7qzt2U8PpD7zL6/z7CSybB9wkvrCQ6ZirW/GXoeAJdH0cvLYf6BNKmJapTe6zmzUwqL5E0bqnxOLqqGr20AlVZi+WDlZeHlZeHRCKoggIKFzi0fW06xZ/NJbSwlroenUju1g0/ZqMrq9CLyww1OxI1atwB1VqFQgGhQaeWLQ2TF0H7cHqP61i6sNIEKcfBd5JQH0dnqC9ordHJII3nm9SjKIVYFi07NidTF0/ZimP+3of8ojyOvayvUS8Xxeyp87l8/xtXeA+LWxRx8Cn7UtKimF69d0kLx2aLZQsrOHfHK1FKQBQFpfnsctAOlLQsYsd9t0NZiubtStm2V7e1vc055GCwGayMtNYHrOZ14JpHaMDvvTJK2eE+mbkxww53CNAM+AojQ57CjTTY4R4AXCUih2d57h+KZMLhrcfe59Ern2bJ3NWndn77YbahdqekBbygwJ9KkYlZgUgkQkMuL/jXW45OTQZFWmg4VgQ8I/MjnkbHwoY+bSmkLmHGUMt9LDJUHhpRsRtfDc/xzNBJN7ACp+GPKaBppwdcYRuUtCri7k+G0axNaXpbx23a0Tuo2Rwz6Aj6nn8YIoKTcPn5y1+Z9s1vq31Pm4ryRRU4CQfP9VGW4ohzD6brTp2xQzZ3vj+U4XMe5b+/PEDrLVoC8N0nk7n3b4/y4+dT1us8ctj8sTkpMIhIKxHZPWh+XSv8rsFIa/2a1vp1YPmnctoOV2sdxwSfnURk22D/acDNWutyrfUUDLf9jCzP/UMx/NbXeOSyp3jjgdFcuvf1qz124OAj2bJXV3RhFKd9iam1hCyjulCYZ9JnkRC+75gHuTaq19r1IBQC20KKCpBY1IijVtdkpLsC+CbtJs1K8Asj+MrHEw+pTxhbiZBtbMIjRuuOwD5aB2KohpCwHO8lo/jjV1WbgBm2Aw8kSdu8GkO+DLo6pNl1AJWLq7hkt39w9TOXUFhagChh3rSFXNvn1vT4A67oR/fduxmXioTDoL2uo7Ksam1uzUrRZcdOnHD1UYHMkM+r977FqCc+TO9v1qY0HeSnfzeTa/v8k1GPf8hVh9zMnJ/nrbd55PAnwGawMhKRUhF5E1iIMddrH2x/RET+2ZSxNpaa0Qp2uEDKDreUldvhbr+mczfwnLODkF6RrMwTKBPa9/EcD+1rVEEBqk0rVHERVkE+Kj8PUcZpVXwfEkl0IomuqYGKCrTjmGZV3/T4SChkaN75MXQ4ZPYnk0F6TUMsgnRsh2rVkujCOvKmlRNKgCrIR+VFjVhqKhB5XkBzNu6uKZafMdSzDXvOFIJImd6BINGoqW0pFTDvPMS2UKEQVigEorBCNkqJEWNQ5r3yPb9RPSjzfWvVqQWn3ziAcMRegQCxvmCs2K2gaZhV3rcG/T9Z7XE55LAybCYro39jnnIdgLqM7SMxjbBZY2Ohdq+LHe7qzl0tRORGAqn1tm3bNmnC2WDZwnIGDO5Pq44tmPvLAo4e1Ge1x79415vM+Po3xLKxq12wLPNg9EzwIR5HtEZ5gliY/h/XD1JvAbW7vt4EB9tCNSsJKNVJE4CCRlYBtG2jHI2qTxpauG0bDTgfdMIxvkFao+vjqTcrQz0heBDrFF0uWDUBqrAgYNrpdBDWgWJEWgIICBfmccMLl/D5yAls1aMLANO+/o0TrzmKQXtdT02Foah36t6e20Zf2+h92uWgHbnhtcF88dZX9DnnYIpbLG9eufaY8f1sXr7nLfN/sSyOu7Ivvc9Zeep7y79swR3vDuHjEWM5+OR96NAE1l4Of3Jo1rdx3h+Fw4H9tNbzl/syNg1TVskaG0swytYON77cvjWdu1porW/EpPXo2bPnev0OcutJ9/HZq19QUJLPLW9fm5URW7dduvDR8LE4rlmFiGWZ3iDXS6tgYyu0E4iXWoGygZKA2WaUtUVh9N4yx0gGzDgNYgdWE1aDSrcIZrwMCwoyU2x+4/pOo9ZwCeSEBONZFA5lpBeCGpT20a4XpPiEZG2cu858iMqyaj58/nNEjHuq63h026ULNRW1+J5P77MPXCHYiAi7HrYzux6281rdm9WhWdtSwtEQnuvhuR7/e/hd9uzXk212XTlhYcd9urPjPt3X+zxy2LwhbBKrnmywqhjSjoZn9zoN9HtjMnB66pfl7XBFJGWH+35wSKYd7irP/R3mvUp8+vJ4fM+nalkN3338I9v07LrGc/pfcChzZi3j7ac/xVu0BNW8FPJj+CUFeFEbP2qjyqtx2pcSm1+D0uAXF5oA0rYlzJzXoENnKfTsedChLRTmm4BRH0dXVlK3Q1tqtyikaJ6DVeehLMGqc6C40IiaWhZ+PBGIsRIEFvOXI7ZlvtAlEul0XBoa/MoqKCo0AcwJVmtB6lArhRdPmJWU57N0vmmozdTj++DZMYyY/xizf5pLSavi3321Udq6mEe/uoNTul2Mdl1qK+uY9PFkSlsXM+njyex11K7kF+f/rnPKYTPF5hGMRgGDReSs4HctIs2AW4E3mzLQ703ttgML3LQdbmCROxLYQUSODfavyg63NCAmnIvRRCKLc/8QHHnRYVghizZdWtGrT4+sznnx6bG88/lv+G1bmrpMRSXU1WMlPcJVcSJzygnXe+TNrkIhxsZhWTlSWQ2/zkZ8H8nLQ7VsjiotQYqLUDV1SFWtkQ/Kz0Pl5ZE/u5riGfXoiI0fUag6o7BNeRUST+AvLccvW2rSa75xWE3L/rieSRemZx1UWUUhysIqKUFFIoa8oMSs0kRMv0TS0M/T6tzSeKUlyqzETu16CR22af+HpL3K5i3j3F2uxo6EUeEIzds3o1Wn5py57SAeuPgJTu58IbVVdWseKIcc1gDROqvXRo5BQBdgNhDDBKBZQATjAJs1fu+V0Xq3w9VaL1nDuX8ILrrvLM6+9WQigSFbNlg4rxzXDQgMmEJ6mrnmB4oFKXsJTVAnkrSwqPY1KmQH9R0dCB3oBjFSSFO7dcg2McTTweHaMPM0SNDAaqrzgflekCZMa9Ct5I8k87iUCndKOrHR8abq35ikgBh7DMfDVcLi2Ut47f5RVJZVceI1R9GmcyvK5i1l+G0jieRFGDD4SEpaFjPn53kMv20kbbu2JhILM+3r3zjhqqPW2vK7urwW3/fxXJ9wLMy1L1xKVVkVIkK8NoEdtonXJsgvylur8XPIAdgkmHLZQGtdBuwvIvsAO2Jq+N8B723UFhKZNZqV7PsAWCkdW2udAM4KXk06949ENK9plPuTz96X2dMX8dM3syA/hqs8km0jhPwQaI0XhvCSOG5JmHBlAkSZQONpUxcS0GjDtvN8fNc1japgViO+bySECvNQ9Ul8JaQFWT0f8vKgPo4U5JsAFejSpfuTUho9YmpA6T6iINhatsXxFx3M6OfGUl2WSJvpGaRSeqkeo6DIFJAh2m/Vhl69d2HSJ5M58sJDGfnAO3wyYhza95nyxTT+M+kubh5wDz9/NR0RYd60BQwbeRWDD7qJ8kUV6Wyh9jTj3viSt+teWIs7Bp2378A5tw5k9JOfcNBJe9F9t63wXI8BVx/F2NcmcOxlfWnetnTNA+WQwxqwmdSMANBafwZ8BiAiJU0NRLDx1IxyACqTCeYUaKq6FRAttNHRMMQUjmcYdfaMhbCwEitZgK6oR3yNikRABK+uHp1IGJZbPGnSaZbCTzqoWBRCIbT2cTs2x21RiBV3CZeZdJNXHMO3FVYZKNNgg0rY+GFtxkmTGnSjICSi0l/u7LBFq44t2GLrttQvLsePJw0lfAWF70BQVZk+nlA4hFJC/wsP46hLeqcP/e27WVi2Aq3SQT1aEMUORFejBcYePJofxg5Z+L4hZ1hhRTjaWNW7KRAR+l9wKP0vaHCFtSzFaUOP57Shx6/1uDnksDw2AamfNSLQn/tVa/1C8PurwNEishjop7X+MtuxcsHoD0L54ko816NFu2bpbS+O/oY5S6sMrToSRjSoREAcWFZLaH4leD5qWS0Eytfp5tGAgq0dJ+j7CZCmyoGfH8VtXggi2JVxRIMfsvDD5mMg9cY0Lh3MRBokfzKDSiotmLGpedtmPDjhVk7dahDJuBP0JK2o0pBCJC/CvWOG8eU7k+i8fSd2O6JxXe3Ce89gu923pmpZDYeevh8zfpjNDa8O5vUHRhHNj6QtxB+ccDujnviQNl1aEcuP8Ms3v9EnC+ZiDjn84dg8VkbnYJxeEZHewF4YjbqBwL+A/bIdKBeM/gC88dBo/jP4WQAGDO7P6cNOAGDnbdrz7ripuK6xWtBGetuoXcciaJHGVOyU/YKljFKC46I93/gHQZr27bsuyrZRyWCVIwovbGHXuw2KDNrUkSTpGjO8FMTUc+yQhaaB+SZKsMM22te4jsfiOUs4revF1NckG06EQG07hJt08VwPRGGHLHbv15OuO3Wh604rr+1YtsVBJ+9DdXkNF/z1GsrmLSMUtnASSaNlh3D03/tQUJLPgCuPTJ+36+G7rIc7lEMOGxibRkNrNmgFpKRH+gEvaq2/FJGlwKSmDLSxKDD8qTDuza9Ixh2ScYfPR05Ibz9i3+3ps//WKJ1ALaulqoNN2TY2SUngK03dbl0gvwBaNoeCPLSt8LSPW5KH16Mbkh8LpHzCEDXpOykpRooKDVkgkSD06yJUvQOOT6JFjPr2BbjKw1pYDvGkETTFNMXiuoF+HFzx+Pnsf8JeWOFQYFeheHDCbRxw4l6mh8jzTW9QoPQtgfJEYbMCHv/hbqL5Qf1M+7TdshVXPnF+Vu/VoplLWLqgHCfhUF9dj5NwScYdxr+Z9eo/hxw2TmwGckAYvdHtxLC0egPvBNvzAHeVZ60EuWD0B+CEq46iRftmFLcs4rQbB6S33zdhHM/U/cLinlEqdy7BQtHy00WUfLeIvKkLyP9qDsp1EFshzYoNddv1sZdUEvpuBkprJBpBFReiSgpRLVugwmGoi0M8gbaF+F/a4TaL4rTOh7BNqCJObPpSrIQLlVVQV4dfUYmurW1ItWnNnWc9wqcvf4Hv+cZOyVJcssd17HXUrnTq3oFoQYTt99zGUMgz1BlqKus5vdslxqMowKKZi7l0nyFZvVedtuvAnkf2xApZbL1rV4pbFNKifTMG/uOY9XxXcsjh90Oq6XUzkQMagenrjAMfBNv3BX5oykC5NN0fgB4H7cgLsx8FGvTMZk+Zx7tvfkGyDaTsxjVgJT3wfMOQI6WbFhAHgnyd9nR6n1gZxnYqxTswcj1+ip5NA69NeWYVo32dTtmlEQismgAkuI7baJvWmjGvTGCXg3ZgwW+LOH3YCQzpfyfliysRBC3Gswg0btI016KN0sLMH+cwcfS39Oq9+rRaOBLiuhcGGdp4Bh08pwOXw6YO8Tf+SLMmaK3vE5GxQEfgA611ajU0C7h21WeuiFww+gOwsgfqTSfcgztnMfnHdCHZqRitNKFKF7dlEXaNB66HDkO8VFHXPULJrw6WElPfcVwI2ehoCK84htKCqqrHjyexSoqN2V5tHaomQXj6EpJbtkRboBI+OhrGy4+illWZ9JtShuKdSEBtXZqEoD1DaJCA4q19D+1qPn7xc4z0guaXr6Zz2+jrubbv7ZQvrgCEvOIYZwwbwPj/fUX33bZi6sRf+fajH3ASDkOPuoNXlzyZVc9Ophip1jodnHLIC8ZsdQAAIABJREFUYZPEppGCywoBY+5LESkUkUKtdbXW+u2mjpNL0/3OGPnAKPoXn8bZ213Kr5NmpLeXtCpGWhfgNcsHDwp/qaT4mzIiFS5eh5Z4HVuiwmFilULBL1Wo2UtgWSWSUjRwHPTSStSyGlQoCsVFWPkx0xibSBo1Bcch5Cti82qJzasmMn0J4TnlSCyKbtsSomGjrhCvR2lt1LUjYUQpQtEweL5xa9WmZ0nSnx6FHQ5R3KKIH8f+TNXSagQhEouw477bcfTf+3Dn+0PZ48iezJw8B+1rLNsiHA1hh6yVvk+rwvTvZnL29pdxZNFpjHxg1Pq7MTnk8Dtjc3B6FRFLRK4VkflABVAhIvODbU1a7OSC0e+A8kUV/DppBp7n89R1w6mviTPn5/m8eu9bOEmXH8f9ws1vXEXzU3vgFoWx63yiC+tNKi0aAiVGWdvzEQ2R2TWIp9NiqAA6kTTyIaFQQyNqilVXX2/Sa5EwOhoxNZ9K06eEUiYvLQLVgRad45qGVRHEsnlqyr207dom/f/RKYXwdMcstOvWhoe+vJ2nb3wpbYOx1S6duX74IH74bAqu4/LWY++zbEE5AJFYmGenP0Qk1rTG4Pee/oQ5U+cRr43z9A0bjYdiDjk0HZsHgeEh4CKMuenOwWsIcAFGFSdr5NJ0GxifvDSWu854CABl2yTjTnrfRy+O5fN3J6MshVefoLprPtJ7C9yo4MVsrFoXnXTRYSOSSkSw6rVJp6UEUVOBJBwyq6PaeqSouNEcdChsAkzSMSsly0KHLEgadXCtjCwQeVGorW/8H9Ca83tdj5t0WB7aN95Gdtim3wWHEYlF2KPfX/nohc/xXJ+fvviZY1ucibIUsYIoZ9w8kE9GjMX3NQeevM9aWT/scuCOjHr8AzzPZ4++PZt8fg45bCzYBMgJ2eBk4Cit9YcZ234QkZkY3dDsaLPkgtEGx0/jf0kHILGM95DEomjPw/d83KSL7/n4tf/f3pmHyVFVC/x3qqrX2WeykJWEkMSwyL4kiCCLyi7igmyyKwqCAoKKwgNEUUF8Ph8ICIiI+EQQUXyyKkvYApElDxIICdknmcw+Pd1dXXXeH7d6lphlepgly/19X33pqb51+9TtyZw6556lg/jcDsY2Q2FCLa0fqiY7MsTJecTbOvDrQvIjqxh/Zwsk4xSqKxE/wMn4aDpBWFOBt6zBlPVpaTFBDh2dSEU5UpFGNWrIV98Io2qgEJCrcsmPTKExqJzbADm/u+W4mFI9gV8g8At0Nwmkq10EUd7T5y89luO+8gkAvnnnV1m5cBVvPvs2oY9ph6FKGCo77jGZ+5bdSqY1w6iJI/u1nvseuQcX3nwui99cwucv+9QH/n4slmFBWU9S+BZJM1C/nvNr6EMbn55YZTTIHPPljzP/5XdZubCeD+0/jTmz3zOKQiEdg+n7TOHlh140f9sry/Fygru6jaWfSYPrMe6PzVQszpvIOMdD0kky4ysh6eE2duAtaUIyPhp2IGXpHr/fpoQQBR9tbYMwMG66SWOMa66+kdTaPMnlHqTTSDxOSAfiOKhj3HMQuf+igqfimBJA4gn7H7Un82bPZ8rukzjirN7N58750anceM4t5DI5xk8by1svLOCQkz7CDh/eHi/mUV7d/xYM913/J+79/h/RUHn6/he4+92SPAEWy2bD5r4f1EeuAH4mImer6iIAEZkM3BC912esMhpkyqrSjJ86FhQmfmgsr7z4PqEqsbjH0V86hLLKFC8/9CKK2dR3XMc02BBTgcEpqLFEuqv6gCM9Wgx1hzt3KaKoujddY7RHWaBiRVE1p1R6+aVVFcGJKm6vM280lRd3mbjTeBpWNjN++jhS5ale97zT/tO4/Y0bB2L5/o1cJkcYmKra+c78pi+wWDZDtuTmeiKyiN67WaOBd0WkKTpfi8k5mgLc2dd5rTIaZP5ww8M8fs/ThEHI/73wDjgOXmU5Bxy7B7sfOJ2rTrvFhF/nspxw7sG0pJt4a9ErTJ1Qz1Ov70r71CrizW24nQGa8ADFzRTQfIAEIaHnmowkV9CYSxhzkWzeJLES1aor5iaFirO2hbAsZRruxfIESQ8SSaSx1bjo4jE0lTB7S20Zk8cUBt2/eiLkOrL87vqHcByHRW8uYczkUZzQo6V6rtO0WnDd0iLl+sKJlx9PqizJkvnL+cLlxw/4/BbLkBAlk2+hXDUYk1plNMiMmTwKNxHDKa9EXRc6O1E/4NXH3mDmkXsgAqmqMpQyphy2Gzf86nE6MlOp+nU741fkCZIuYV05oV8gvrgBsnnyo0bRNrWSWJvHiPaCCT7I56Etg4tCJoMWQrNflEqhGhI2t6Kug0zaDk3FTYRdNm96F42oQSvTyOIV0NwGvo+TThOmkuD7xt0XoaGax7pCwbQtF49RE+q63v/N1X/gdz94kMq6cr77Pxez86zpA7qeqbIkJ1olZNkK2FItI1X99WDMa5XRIBEEAa8+/gYzj92HNQ0ZHvzV0wSBqeGGCC1r23n2wZe566VrefnJeex72M58/8a/0tqaRwKHjmbj+pKoEoNkfSSKaOvYvgxcIdZW6O4EmfNNKHg2B4UwCu12jGXTmTVPYemkCRUXgZYOcy4R7w5aaCm2rO9uzhf6ha5TXdZR9K+IcObVn+PAT+/Xdd8P/Oyv+DmftSua+MfvnxtwZWSxbDVsocqoJyIyCfgUsGN06h3gIVVdXOpcVhkNEl/a/VLqF6+m4Li4FZUE0V5N3YQRNK1YSxiEPPenl0gmXb5xy7lc+4WbeO35d2CnCajjoJ4gBQU/hLiDJuNo3IVcgXhDB9nxlfgVMRRBNDSVGApBVMS0QLHTKgDpFOTypkZd3odkAq0ph9UtaD4Pxa6ulWVGIUV5ROI6jNh+JGuXrFmvRyEMQm6//B7GTtmO/Y/eC4DDTzuIv9zyKPFUnJnH2NBri2VDDKZlJCL/APanu1jpclWdHr13EvADYATwGHCmqjb24zOKnbszwHuYvzinAj8WkatV9dpS5rNJr4OESczMoTgU/AKay+EW8nz9p6dSXZ0kyHTid+Z455VFLJ2/gjmPvka4bC2x+auINWVpH+uyZk8hs53SvJPSuJdL257jaDh8Au07pqmds4balxvQjgzh2kZCEcLyFFqWIvBcwmSMMBlH83mceAKnrhavsgJnSQO05whqKgmmjKEweSSFMI8sqYd8FHHnuYTZLJUpj0tuPZd4KkGxsV7PCjyqShgoS95a1nXuc5ccxxHnHMaZ153ELgfOGPqFt1i2BBQTZNSXo/+cr6rl0VFURDsDv8QojdEYRfLfpU4sIl8ELsckvNap6h6qujtQB1wAXC4ip5Uyp7WMBonLfn0+d33vPibtOonG1hwL57xHgPKtI67BdRxEQ2pGVfHVm07ny3tfRiFfwNluBG66jIIUWPWxBOrGaIkFuI4Sa1AqFrqkmx1qn1+F6wdoJou2tQMKE8aA66Ar6k2ekTjmF1kEcRwcR1AvgVtehtuRh0wecR0070NnFsQh9H3jFAxMMmzzyhzfOvKHiAiO5zFx+hhqx1Tz6mOvm5sU2P2QXTj8tIO67vuig75H44omHM+haVULX+xRldxisXQzTHtGJwMPq+rTACLyXeCtYk25Eub5GnCxqt7a82RUKPWXIuIAFwF393VCaxkNFiIgrjEosjlAe7iIo1dhyF9vewI/53eFUVOMtC5GYYuab6mHRSJazFFY32+zdodz9xao1xysb0hR7mh8VzXwqB2El4jx+W9+ilgiBmIqap/9w5OpGV3de1pV/GyBR25/knmz56/nQywWS1dE3aaO/vMDEWkQkedE5ODo3M7Aa90i6EIgD0wrce4ZdPcuWh+PAB8qZUKrjAaQbCZHe7Op73b9F/+LlQtX8eLf5vLuq+8R5n081+EHf7uC2jE1aKg0rmzmyd/PBidKMF3dSEcyQ9tUFycIqE52MK6uiXSHT5hxaB8FbkM76kCoinoxwupy/LE1ZOo8tKUVLYZ0K4TtGTSVJKyrJIyZPaWwvQN1BXUdQk+MO688ZRJda6rRdAodWWv2jzREC76JxgsKLHxtMU/d9xw/fuJKjjr3cK575DvsuHvvTq03/fNqRoyrJQxCGlc28Z9fvX1ovwSLZQuhhH5GY0VEexxX9WH6y4AdgHHArcDDIjIFKAda1hnbAlSUKH4nUL2R96ujMX3GuukGiKf/+AI/OfNmCn6BytoywkKAOMYa8WIeXsxl6p6TmfPEmzS35nGSScJsljCXw43HkHic/OQqWvYbR+gJY54sEGtL4WULlL/fiKqDVpXh5ENyY6rJj0jhNHeQfPYtnNUhqWyIg4PEEzBujBGqEJhiqk3t0JkldAR/l0kmoi5KgpVsnvj85eAHpmRQIUAyWdPbyHFNO/KofYQXjzFlt+3Zedb0DUbJjRhXy8dO/AgP3PRXxBF23GP9bcUtlm2a0oqgrlDVsSVNr/pijx9/LSJfAI4E2oF1i0JWUmLpHuAp4BLM3tP6uBT4RykTWmU0QDz5u+fobDch1GtXmMrUjuPwpRtOY99P7s6aJWuZutdkTpr6dcKgu9o2QOD73D3/Z1z6q7+wur0ZN6d4bYAK7ooc4gOuIL5RIH5tEhzBaWqPKnkrjjqmv4/nmFDtrooLmBwkVTSdNImzIl3vSUeuO4+oEFXjDsLuxn2RnK4rfPL0g/nU+Udsci3OvPZEDvrs/uSzPjP2mzog62uxbE0IUXHioUOjj50H7NYlh8gOQAJYUOJ8VwAviMjTmG6vC6LPmIHZT9oVE83XZ6ybboA44qyPka6IcoOivB31PO684VEWL6hn2t47cMoO5+NHOT9dHVkB13M5a9bVrH5qEfGgQCxVYNyEVkDJjy5H3ag4XFQGSHwfVAlryiHq3ip+VFW7Kxeox6NXzOzxSCaHk8l1+6FDJUzHIzm0O9/IoasI6sQZ483QQPn7HU9y3/UP9mk9puw2ySoii2UjiGqfjpLnFakWkU+ISFJEPBE5GdMG/O/Ab4FjRORAESkDrgYeKDF4AVV9GzgQU6zsf4C5wL+A+zDh5Aeq6lulzGktowFi55nT2fkj05nz2OvguDg11TiuiwKr3l/LE8tm05kLCHJ50wwPIJlEYh5BRydhSyu87bNPaiU77NTGnrPq+f78WbRNSdNyRA2xtoCyx3Lk8xk6y1yq59bjNnZCVTVOOhVZM0ZhESrkfRM4EfOMMnJdpBDgvb2ccEQVWpHCbc9Cexb1Cya3SARxHcIgBA2oqivne3+4mMs/cS0Ny9dSyBdY/u6qYV1ni2WrYHB7FcWAazEBBAHwNqbNw3wAEfkyRinVAY8DZ/TnQ1T1DeBgEanD1KETYKGqNvRnPquMBoj/vuhO5j7+OgQBsZjLZ756KK88+y477TWZkaMruOG8X5lmd0EAKE4qhVNRgaoStHWgnVmcsjRLFtWw9P1qnvrzOJLkaD8agmku7ltZvPmriPlK+eoQ8VzTTjweNwJk27uj5RwX9WIgeeN6y/uAIo6DxD2c1gyEUcty1yHschkqR55xMP968k2Wz19O65oWvn7wlVz70De57bJ7GDG+jlO/99mhX1yLZatj8GrTqeoaYJ+NvH8vcO8Aft5aYO0HnccqowEiWZYwTfIKAYV8gfJUjP/626UsW1jPtWf8klw236UspEfmaPG1OGKCBlAUQRFTzcdXHNHIVYdxqWlUJqh4bfEtpOv3W5weIeLFQWBOOnSV+9HIRSemAhAr3l1F25oW0Kg1eCLGTjOn89Onr+nzWrz14jv89Nxfku3Mc+Evzmavwz/crzW1WLZmttTadIOF3TMaIL5y0xnMPHZvQAgLIbdddg+5bJ6/3PUM779Tj7quSTB1HLS6knBkLUFlGXgu7rgxqOsSNreSK8vRsWuK+oNHMOawBj4+4/+Y+O5akq8pUlMJVeVoZZqwLEFYniRIesbN5rqo56KJGKoh2pklzOfRZAIdWUvoOATZTgpNTYTJBGE6jgaBUVjJlFFiIrz62Os0r24lDJTqUVXc8uqPSl6LW795D4veXMrKhfXccnGfc94slm2Lwc8z2qKwltEA8eS9zzD7Ty+hYYiTTiOOwzl7fZsTv3ksnueQb8t3WyeNLdDSjiSThKo4tTV4Y7ajelYb21+4jKCwgrcuGMPKhnJWzh1FvqKKRE5xyk0SLXkfsr6xpmIx8Fw002lai0eohhAE6NomaGqNDCQHJxGHxmbI5s21vk/Y1ARhiOO5eMlEVI0bDjvlQKpHltYa/Mdn3cxbL5jAHDfmstvHdh6Q9bVYtip0yKPpNnusMhognn/4FfxcwXRRdcyf/paGNibsOJpjTj2AP/3i7wSFoKsIaZdfDFDXRUSo2juHmwR/mUO4VtGC4LtlaOggQbeioVB8HVVVUOmliMykmEAGehRecKTbzRf1GtK8KQGkAGHIb96+ic6OLADjp44peR1mP/QyQcHsQc3Yb0fOu6Gk8lQWy7aD1UW9sG66AeL4rx1J1cjKSMGYP/+7H7wT855fwMO3Pm4qJghQUwmOmL2iSCGI76OqrPlritwKF68qJD5WUAH184QuBCkXvzJKVnUc1IFCyqFQ5gKKpJJGENfpah0hyYQ5J3RvLPUoRYQqEvOi8XD0eR+ndkw146eO6ZciAjjtys/iei4isGDOQr73qdLdfBbLtsBghXZvqVjLaICYMH0s2++6PW88O5+wUIAwZMasqTz2z3fIjaqBVU2QSqDVZbjxhHEHRyHVmvfRxiZaGoQXfzCNsK4crywkc0gSFJLNPipC045VuO2dVLzVgitx8jUxNJOjfGkrpJJQXgaCCRP3Cybk23GMRZQz+UXqF0wLCVXChgZjUSl48Rjjpo7himN+yI67T+Jz3zyOssp0yetw/AVH8Mpj/+KlR/5FIefTXN88CKttsWwFbEOKpi9YZTRA3HLJb5j3zNtoEHRFyN3x69lQloJYHAeBTA6nM28u8H0T0KCKFlo584en8IeX32JpZPz4FcagSdfn8XIh+QqHMO0QlJcRe70drzMgtjoD7R3GHZdKIkDQ0oq2ZwA1uUUiaDZvcpDAhJfnfcK2DrrDS5VCLuTmi+5CBF597DUS6QQnffvT/VqLr/3iHO6+8vdkO3Kcfs2JH3BlLZatEMWki1q6sMpogKgeWYkXc7tydsRxCPM+pFOI62DyfEzotThRWLaqURahMvuBF2imANvXmFYQUUEEdQHPhIGqKKJCGBckC4pJcDXzarRXVQzVNtUanJ7eOcF8ZlRpQYq7RUWZQjOo4Af8/kd/Ysruk9jvyD1LXotRE0ZwyR1fHYBVtVi2ToRtywXXF6wyGiC+9JNTaWnP8uT9L0CnT2FMDUFNmlgmi3T6hJWVEBSgugJnTSPiuKgjaEcGDZW3X3kPB8HxlOxOdWTLYVSqmfhRGTrmVpJpS5Kr8hn1TAduRwH1fTQomD2iUCGXI1SFQsEoGxE0myNwHeMKLLaowISBo1HQQjGIIuzZLgIyrZ3cc839/VJGFoulD4TWNOqJVUYDxAOPv8YjnRkKB02j/KkFeA1tuGtajfURBmZvRkBXrY6aN2qXO89JxE1zu5GVpKSc5Pw88ZVtOBISPFJGuswjlcsx+v16nEJIWFNJWFeFdnSiq03is1tdhcS8rqctVTWfGYRG0fR8CisWRAUQB8eBVHmSfM7H9VwCv4CIMOu4DSZxWyyWD4J10/0bm5Uy6m/fdhGpBX4FfBxoAL4VlbwYMl6ZtxQ/CHFyBWOphBrF1GlXiHXxfBfFoggi5mVVGTgOjh/gFEKzpVMRg0Bwsj5OEDXOS0bFTTtz0QRqSvtEbrtS2fOwD3PdI99m8ZtLmDhjPM1rWgGoG1PTr7WwWCybxrrperM5hnb3p2/7LzDdCkdj2ureHF0zZJx23L5sV1MO6SQ6ogqgy11GLIYkohpyTo/yP67TVR0bwFnZiIRZtFrR3cx+kUpoQryTcUibUG1pN/2GpDxtwrdFTO6RKhJzu/aGijhR6Pa/ITBqQh2nX3MiIsLkXbfH9VzqxtRYRWSxDDa2AkMvNivLaCNssG87xtg9AdhFVduBZ0XkzxjFdflQCVgbizFxaTvZN5YTJhJIVSVks4SdWaNs4nGkECIipsipEOX3ON3JqI6QrwnR7QVXfJjn4seBtIuTAzeVxFETDSfvt5iCDrXV5tog6G6m5/td7jlxBHUE13UIw6CrlXi0jtSMruqqsjD3yTe484r7mLL79px+9YlUjSit+oLFYukr25ai6Qubo2VUat/2aUCgqj2bQ70WXTNk3H7Ng7zzyiLI+jgdORNN15GBXB7N5btcakYRSaSEoqg210Vcl+yHRuMnqgkXx3AfVLyOAo4TJaUGIU428l62thtLyOlOcEUx9ekiRQR0W1wiHPiZmRz9pY/juN1fuYbKglcWcttl9wBw5ad+xFsvLOCR257g4ZsfHaKVs1i2QRQItG/HNsLmpoz607e93z3dReSqYl/5FStW9FvoP9zwMM/dP9t0RS02wHMEdd2u5nc9Q7uLrjoTUu1ExbgFyfimcncsCv32HCQXKSDPNeHbEl0vmM8rVt8m8sRJ76/UcR28mMunv3YEJ1x0FLG4h+s5xfsnnogxZodRAIwYX0eyPIkX9xg1cUS/18NisWwaW4GhN5uVMlLVF1W1TVVzqvpr4Dk23be93z3dVfUqVRVVlbFjS2ox34v7b/wzfnMbBUKC6nKC0dX4yRjhblOgugLxPNR1IJWC8jSUpdC6anRENZpOEo6sIejsJD5vGe7ievLJkOXHjiEzrgK/KoF05JBsAb82TdDWbiytqGlemMsTtLYRNDYRtHeYcFHP6zrE8/jxE1eSLEvQ0dLJnfN/1lU7TkT46GdnctZ1JwNwy9wfc8KFR3Hl/Rfz8S8e3O/1sFgsfcDuGfVic98zKj7wb6xvewh4IjJVVd+JhuwWXTMkHHbKR3ng1qfAiaFNHYQLl4II3jIH8TxIJJCytMn9aW5Bi8VSEUIBXVGPCkgyScXSHGVrVtGy7ziyEypIvbOW5Ip2k/QKSCIRZcMqmsuj7R1mhXyfMG+qO0gxYEEcdjpwBs//+WUeuOkREOGQLxzAzGP25oW/zCEMQ/7x++eYOGMcJ152PBcffCWL31zCH24IuezuC/joZ2YO1RJaLNsWPQoZWwybjWXU377tqtoBPABcLSJlInIAcBzwm6GS/ZzrT2W/4/brDiRQhSA0SqFYSqHYPqL4fvGJp5gDFCpOPG5yj3qMj7XlkWhMV0++rkTVoEcBVLoqOpjXUFaR5IZHv8M7rywi15knl8kx/+V3ufqhyxg9ybjm/FyBBS8vBGDRG0vIduTwcz6L31w62MtmsWzD9NEq2oYso81GGdHdt30NJlfoAqK+7ao6Dyj2bV+N2Q/6So9rvwKkovd+B5wXXTNknPHtYxk/ZRTiuaaCtuNErjLX7PEUK3RXlpvXiRiSiJlW4AkTsh1mMoROSOgKhCZfKTuplqAsTpiKEVSljMWTMOHckkgg8Thm86mrjSziCKnyJJfeYZborB+cxE4zpzFlt+254OdnAXDx7ecxaZeJ7PrRGZz2H58H4NI7v8qYHUaz/zF7c8TZhw7l8lks2x5WGfVCdBu62Y2x995765w5c/p9/dIFK7n2lP/i/fkrkOoqSCXRTCfh2kaTyJpOQz6PIoSdnUZpIYT5vHHl+T6aTuDvPplCVQrJZEkvyxBUJLqSXcPWVpyVjaZCd2cOcU09Oc3mTCFUAXFc4qkE+x+9J1fce+EArpDFYunB+jL3+kxVYjudNe6UPo3930U3vKKqe3+Qz9sS2Nz3jDZrVJWm+mZqt6vhju/+nsX/txS8GJJOgQhBQyPk8sYSckxod9jebq71C6a/kQKhDwLBpO3QsjRepkByURui4LTlTf+iTCesajBuvbYOM1c+pFeHLgU0ZJcDpvH1W84Z0rWwWCyloN2V9C2AVUb9pnFVE5ce+h8sW7CS2rE1NK1pN2HVGkYh2ILE42g+b4INilW1i/tIWoxIAC3WqWvLQFiDek53ue1QjTPVdXtU3o6EkKj8T4/Ybg2V1/85j9kPvczhpx40PItjsVg2jfVK9WJz2jPaonj+4VdYuXgNYRDSsKyJIOejngvlZYRhSLi6wZTsicVNN1WiB6FUEvE8Ux4oHutSOFoIcRfXw3srCNWn6cN1Zh5PCNs7oCMDFWW9DCEp/lB8wop+9LM+j939zyFbC4vFUiLFB82+HNsI1jLqB0/eN5ubL7uXUDwkIYydUMuqpWtNqHXeh9UNxrIpWi3G/DGWUc6EXxctJXUwWdYCEk+QashA01LSed8kxOZ9opZDOHGPcTPGs3zBCmq3q6KzrRM/71M3upqV79UzevJImutbcD2Xo849fBhXyGKxbBJrGfXCKqMSaV7Tyl/ueIpCvoAqpMpT3LXgP7n6xJuY/dAcUxWB7v5A3aUR6GrloETnhO4y8gpOLOrMWggRxZT1Ubp+aSsrU5x6xfE8/YfZ7H/0Xnz0szNBIZlO0NHSQVlVGblOU4oonogN1ZJYLJb+YJVRL6wyKpHrz72d+f9aAq5LOhXnO78xHU3Pue4k6peuZeEbS9FiwIHnQVCIdFGIarRnFHa71UQEjfaRZn7ywzQ2Zpn/6mKTIBuG4AJRjmxLUzvf//yNiMBLj7xKMp3oSkwtqyoDIJFKDOVyWCyW/qBqcg4tXdg9oxJJpGI4KJrLkW1p46+3PsoJo87kpvN+ScuqRsJszlTXrqggXlGGl07hxWN4MQ80xI25OK5LLO7hxTxEBM8z4dhHnX0Y7WtaCLNZwlyOsKMDzebN63wOB+POczyTsxSz1o/FsuVi84x6YS2jEvnWr77E1Z//KS/9ZQ4h8OwfXwRg7hNvdLnmYrkMP37yKh7/3Wx2nTWNMO+zfGE9ex6yM3+/65985NP7smrRanKdeabttQMvPjKXQ05MGfUFAAAJtklEQVQ8gHt/9GeWLVhpiqX60d5S8elJoaa2jCufvJLnHnqJPQ/dld0OHtLC5BaLZSDZhhRNX7DKqEQSqThHnX0Icx97DT/nd53XHlEv2bZOvvWJa+ls6+TR2x7j+3+5nJnH7s1FB1zB4jeXMPuhF/np09cwdsp2AOxywIe4/fJ7eOb+5wHBS3iICwW/QBi1g/DiHoee/BGm7zOF6ftMGdJ7tlgsA822FSnXF6ybrh/MOnYfLrnjPGKJf9fl4rkoQmtDG36uQGd7lnmz59OyppVFby7Bzxdob87w7txFva57+v4XCHLGJbfzvlP4c+vduD16Dx159mFd1bUtFssWjoJq2KdjW8Eqo36y7xF7suuBO+G4DtP2nkKqIsnI8XVMmD4WL+7xof12JJbwmLTLBGYduze1Y6o59OQDcT2HGftN5cMH7dRrvlO+ewJlVWlGjq/jlO+egOu5nHLlZ4mn4kycMZ6jv2xDtS2WrYog7NuxjWBr00X0tzZdEAS4rksQBDiOg4gQBCGu63T9u77x6yMMo7bkIr3GF+e1WCybDR+sNp07QmeWH9unsX9vvdPWprNsmqJi6algigpoXUW07rh1cZzSxlssli0Yawj0wioji8ViGQaKCfIWg1VGFovFMuRsWzlEfcEqI4vFYhlqbNvxf8MqI4vFYhlilB4J7RbAKiOLxWIZetQ211sXq4wsFotlGFDrpuuFzTOKEJE1wPslXDIWWDFI4gwFVv7hZ0u/h21Z/gZV/WR/P1hE/hcYMRSftaVglVE/ERFV1S02E9XKP/xs6fdg5bcMJLYckMVisViGHauMLBaLxTLsWGXUf/5juAX4gFj5h58t/R6s/JYBw+4ZWSwWi2XYsZaRxWKxWIYdq4wsFovFMuxYZWSxWCyWYccqI4vFYrEMO1YZWSwWi2XYscrIYrFYLMOOVUYbQERqReRBEekQkfdF5KQNjLtURN4UkTYRWSQilw61rBuir/fQY3xcRN4WkWVDJePGKEV+EdlTRJ4WkXYRqReRC4dS1g3I1NffoYSI3BLJ3SgiD4vIuKGWdz1ynS8ic0QkJyJ3bWLs10VklYi0iMgdIpIYIjE3JlOf5BeRL4rIKyLSKiLLRORHImKLSA8xVhltmF8AeWA0cDJws4jsvJ5xApwG1ACfBM4XkROHTMqN09d7KHIpsHooBOsjfZJfREYA/wv8EqgDdgQeHUI5N0Rf1/9CYCbwYUzxzmbg50Ml5EZYAVwL3LGxQSLyCeBy4FBgErADm0dCaZ/kB9LARZjCpfth7uOSwRXNsi426XU9iEgZ0ATsoqoLonO/AZar6uWbuPY/Met6weBLulE5SroHEZkMPAJ8A7hNVccPpbzrkafP8ovIdcAEVT116CVdPyXKfzPQpqrfjH4+CrhRVacPsdjrRUSuBcar6ukbeP9eYLGqfjv6+VDgt6q63dBJuWE2Jf96xn8D+JiqHjOogll6YS2j9TMNCIp/RCJeAzZmVSAiAhwIzBtE2fpKqffwc+DbQOdgC9ZHSpF/f6BRRGaLyOrIzTVxSKTcMKXI/yvgABEZKyJpjBX1tyGQcaDYGXNvRV4DRotI3TDJ80H5KJvH/+FtCquM1k850LLOuRagYhPXXYVZ0zsHQaZS6fM9iMjxgKeqDw6FYH2klO9gPPBFjLtrIrAI+N2gSrdpSpF/AbAEWA60AjOAqwdVuoFl3Xstvt7U/5fNDhE5A9gb+Mlwy7KtYZXR+mkHKtc5Vwm0begCETkfs3d0lKrmBlG2vtKne4jcST8ChtWtuB5K+Q46gQdV9WVVzWL2K2aJSNUgy7gxSpH/ZiCJ2e8qAx5gy7KM1r3X4usN/n/ZHBGRTwE/BI5Q1Ybhlmdbwyqj9bMA8ERkao9zu7EB011EziTawFXVzSISjb7fw1TMpvMzIrIK84dwTBQZNWkI5NwQpXwHrwM9Nz+Lr4ezcVop8u8G3KWqjdGDzM+BfaPAjC2BeZh7KLIbUK+qa4dJnpIRkU8CtwHHqOobwy3PtohVRutBVTswf5SvFpEyETkAOA74zbpjReRk4DrgcFV9b2gl3TAl3MObwARg9+g4G6iPXi8dOol7U8p3gHGLHi8iu4tIDPgu8KyqNg+dxL0pUf6XgdNEpCqS/yvAiuF+OhcRT0SSgAu4IpLcQMjz3cBZIrKTiNQAVwB3DaGo66Wv8ovIIcBvgRNU9aWhltMSoar2WM8B1AJ/Ajow/vyTovMHAu09xi0CfIyronjcMtzyl3IP61xzMLBsuGUvVX7gPMyeSxPwMCa6bouQH+Oe+y0mrL4ZeBbYdzOQ/yqMldnzuAqzL9cOTOwx9huYh5hWzMNBYkuRH3gKKKzzf/hvwy3/tnbY0G6LxWKxDDvWTWexWCyWYccqI4vFYrEMO1YZWSwWi2XYscrIYrFYLMOOVUYWi8ViGXasMrJYLBbLsGOVkcVisViGHauMLFs1IrKDiNwtIitFpDNqHvgTERk9iJ/5DxG5arDmt1i2Rqwysmy1iMgMYA5QDXwWmI4pd1QHfLkf8w1791KLZWvFKiPL1swvgHeA41T1WVVdEv17BvAzEZkVWTHNIrJGRH7XszipiJwuIotF5DQRWYwp/YSIfCuysDIi8o6IfK3HNXcBBwFXiohG11kslk1g+7xbtkoipXIw8AVdT80rVW0WkXLgv4FXMdbTjdHPn+sxtNgy/DhM/TKAHMbCWo7pfXOHiLyrqo9geipNA2ZjeuIEA35zFstWiFVGlq2VKZgWEvM3NEBVH+35c9Ru+nkRcVW1qESSwFnaozWIqt7Y47JFInIQ8BngEVVtEZE8phDqqgG6F4tlq8e66SzbLFGb77tF5D0RaQP+iXlA267HsDW6To8qETlCRJ4RkXoRaQfOxbThsFgs/cQqI8vWysLo3+kbGXMXRomcA+wDHB+dj/UYk+l5gYhMxrSFeAI4CtgDuGOdaywWS4lYN51lq0RVG0TkH8BFIvI/6+4bRS3JZwEnquoT0bk9+jD1XkCbql7VY67J64zxMQ3dLBZLH7HKyLI1cz6mUd2jInI98C4wFjgT0+xuIXC6iLwN7IjpULopFgK1IvJF4DlMsMNMTBBEkfeB/URkHJBR1aYBuh+LZavFuuksWy2qOg/jfqvHdFJ9G9OFtBG4BRMRNxXTev1a4Dt9mHNuNO7HGAU0BROB15MbMblM7wFzB+BWLJatHtvp1WKxWCzDjrWMLBaLxTLsWGVksVgslmHHKiOLxWKxDDtWGVksFotl2LHKyGKxWCzDjlVGFovFYhl2rDKyWCwWy7BjlZHFYrFYhh2rjCwWi8Uy7Pw/eKy+mU/DsoMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "fig.suptitle('Diamond prices')\n", "diamonds_subset = diamonds.loc[(diamonds['carat'] < 1.3) & (diamonds['price'] < 2500)]\n", "hexbin = ax.hexbin('carat', 'price', data=diamonds_subset, mincnt=1)\n", "sns.despine()\n", "cax = fig.colorbar(hexbin)\n", "cax.set_label('Observation density')\n", "ax.set_xlabel('Carat')\n", "ax.set_ylabel('Price')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although this hext plot is a great way of visualizing the distributions, it can also be good to look at the histograms." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n", "fig.suptitle('Distribution plots', y=1.05)\n", "\n", "ax1.hist('carat', bins=30, data=diamonds) \n", "ax1.set_title('Diamond weight')\n", "ax1.set_xlabel('Carat')\n", "\n", "ax2.hist('price', bins=30, data=diamonds) \n", "ax2.set_title('Diamond price')\n", "ax2.set_xlabel('USD')\n", "\n", "sns.despine()\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since this is a common operation, `seaborn` has a built-in function to create a hexbin with histograms on the marginal axes." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(x='carat', y='price', data=diamonds, kind='hex')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This can be customized to appear like the previous hexbin plots. Since `joinplot()` deals with both the hexbin and the histogram, the parameter names must be separated so that it is clear which plot they are referring to. This is done by passing them as dictionaries to the `joint_kws` and `marginal_kws` parameters (\"kws\" stands for \"keywords\")." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot('carat', 'price', diamonds, kind='hex', \n", " joint_kws={'cmap':'viridis', 'mincnt':1},\n", " marginal_kws={'color': 'indigo'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making plots accessible through suitable color choices\n", "\n", "Colour blindness is common in the population, and red-green colour blindness in particular affects 8% of men and 0.5% of women. Guidelines for making your visualizations more accessible to people affected by colour blindness, will in many cases also improve the interpretability of your graphs for people who have standard color vision. Here are a couple of examples:\n", "\n", "Don't use jet rainbow-coloured heatmaps. Jet colourmaps are often the default heatmap used in many visualization packages (you've probably seen them before). \n", "\n", "![](./img/heatmap.png)\n", "\n", "Colour blind viewers are going to have a difficult time distinguishing the meaning of this heat map if some of the colours blend together.\n", "\n", "![](./img/colourblind.png)\n", "\n", "The jet colormap should be avoided for other reasons, including that the sharp transitions between colors introduces visual threshold levels that do not represent the underlying continuous data. Another issue is luminance, or brightness. For example, your eye is drawn to the yellow and cyan regions, because the luminance is higher. This can have the unfortunate effect of highlighting features in your data that don't actually exist, misleading your viewers! It also means that your graph is not going to translate well to greyscale in publication format.\n", "\n", "More details about jet can be found in [this blog post](https://jakevdp.github.io/blog/2014/10/16/how-bad-is-your-colormap/) and [this series of posts](https://mycarta.wordpress.com/2012/05/12/the-rainbow-is-dead-long-live-the-rainbow-part-1/). In general, when presenting continuous data, a perceptually uniform colormap is often the most suitable choice. This type of colormap ensures that equal steps in data are perceived as equal steps in color space. The human brain perceives changes in lightness as changes in the data much better than, for example, changes in hue. Therefore, colormaps which have monotonically increasing lightness through the colormap will be better interpreted by the viewer. More details and examples of such colormaps are available in the [matplotlib documentation](http://matplotlib.org/users/colormaps.html), and many of the core design principles are outlined in [this entertaining talk](https://www.youtube.com/watch?v=xAoljeRJ3lU).\n", "\n", "Another approach is to use both colours and symbols. " ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x='sepal_width', y='sepal_length', hue='species', data=iris,\n", " fit_reg=False, markers=['o', 's', 'd'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or to change the color palette" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# To see all available palettes, set it to an empty string and see the error message\n", "sns.lmplot(x='sepal_width', y='sepal_length', hue='species', data=iris,\n", " fit_reg=False, markers=['o', 's', 'd'], palette='colorblind')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">#### Challenge\n", ">\n", ">Create any coloured figure you want and go to [this](http://www.color-blindness.com/coblis-color-blindness-simulator/) website to upload it to see how it looks to a colour blind person \n", ">\n", ">For more resources, [here](http://blog.usabilla.com/how-to-design-for-color-blindness/) is a great usability article for designing for people with colour blindness." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### More general resources on plotting\n", "\n", "* [Ten Simple Rules for Better Figures](http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003833)\n", "* [Finding the Right Color Palettes for Data Visualizations](https://blog.graphiq.com/finding-the-right-color-palettes-for-data-visualizations-fcd4e707a283)\n", "* [Examples of bad graphs](https://www.biostat.wisc.edu/~kbroman/topten_worstgraphs/)\n", "* [More examples of bad graphs and how to improve them](https://www.stat.auckland.ac.nz/~ihaka/120/Lectures/lecture03.pdf)\n", "* [Wikipedia has a great article on misleading graphs](https://en.wikipedia.org/wiki/Misleading_graph)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }