{ "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", " - Changing plot appearance with `matplotlib` (35 min)\n", " - Avoiding saturated plots (40 min)\n", " - Choose informative plots for categorical data (35 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": [ "# Setup by loading the data set from the previous lecture\n", "import pandas as pd\n", "\n", "# If you don't have the dataset \n", "#surveys = pd.read_csv('https://ndownloader.figshare.com/files/2292169')\n", "\n", "# If you have already downloaded the dataset\n", "surveys = pd.read_csv('./surveys.csv')\n", "\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 columns, 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 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
01albigulaNaNControl
172albigulaNaNControl
2224albigulaNaNControl
3266albigulaNaNControl
4349albigulaNaNControl
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" ], "text/plain": [ " record_id species weight plot_type\n", "0 1 albigula NaN Control\n", "1 72 albigula NaN Control\n", "2 224 albigula NaN Control\n", "3 266 albigula NaN Control\n", "4 349 albigula NaN Control" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "species_sub = ['albigula', 'flavus', 'merriami']\n", "col_sub = ['record_id', 'species', 'weight', 'plot_type']\n", "surveys_sub = surveys.loc[surveys['species'].isin(species_sub), col_sub]\n", "surveys_sub.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Int64Index: 13445 entries, 0 to 34083\n", "Data columns (total 4 columns):\n", "record_id 13445 non-null int64\n", "species 13445 non-null object\n", "weight 12962 non-null float64\n", "plot_type 13445 non-null object\n", "dtypes: float64(1), int64(1), object(2)\n", "memory usage: 525.2+ 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
0albigulaControl159.349005
1albigulaLong-term Krat Exclosure156.933775
2albigulaRodent Exclosure168.943262
3albigulaShort-term Krat Exclosure155.051948
4albigulaSpectab exclosure157.842105
5flavusControl7.758537
6flavusLong-term Krat Exclosure7.872340
7flavusRodent Exclosure8.056604
8flavusShort-term Krat Exclosure8.221007
9flavusSpectab exclosure7.187500
10merriamiControl43.385366
11merriamiLong-term Krat Exclosure43.292453
12merriamiRodent Exclosure42.324910
13merriamiShort-term Krat Exclosure42.446251
14merriamiSpectab exclosure43.131443
\n", "
" ], "text/plain": [ " species plot_type weight\n", "0 albigula Control 159.349005\n", "1 albigula Long-term Krat Exclosure 156.933775\n", "2 albigula Rodent Exclosure 168.943262\n", "3 albigula Short-term Krat Exclosure 155.051948\n", "4 albigula Spectab exclosure 157.842105\n", "5 flavus Control 7.758537\n", "6 flavus Long-term Krat Exclosure 7.872340\n", "7 flavus Rodent Exclosure 8.056604\n", "8 flavus Short-term Krat Exclosure 8.221007\n", "9 flavus Spectab exclosure 7.187500\n", "10 merriami Control 43.385366\n", "11 merriami Long-term Krat Exclosure 43.292453\n", "12 merriami Rodent Exclosure 42.324910\n", "13 merriami Short-term Krat Exclosure 42.446251\n", "14 merriami Spectab exclosure 43.131443" ] }, "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
Control159.3490057.75853743.385366
Long-term Krat Exclosure156.9337757.87234043.292453
Rodent Exclosure168.9432628.05660442.324910
Short-term Krat Exclosure155.0519488.22100742.446251
Spectab exclosure157.8421057.18750043.131443
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" ], "text/plain": [ "species albigula flavus merriami\n", "plot_type \n", "Control 159.349005 7.758537 43.385366\n", "Long-term Krat Exclosure 156.933775 7.872340 43.292453\n", "Rodent Exclosure 168.943262 8.056604 42.324910\n", "Short-term Krat Exclosure 155.051948 8.221007 42.446251\n", "Spectab exclosure 157.842105 7.187500 43.131443" ] }, "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 and pivoting." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesalbigulaflavusmerriami
plot_type
Control159.3490057.75853743.385366
Long-term Krat Exclosure156.9337757.87234043.292453
Rodent Exclosure168.9432628.05660442.324910
Short-term Krat Exclosure155.0519488.22100742.446251
Spectab exclosure157.8421057.18750043.131443
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" ], "text/plain": [ "species albigula flavus merriami\n", "plot_type \n", "Control 159.349005 7.758537 43.385366\n", "Long-term Krat Exclosure 156.933775 7.872340 43.292453\n", "Rodent Exclosure 168.943262 8.056604 42.324910\n", "Short-term Krat Exclosure 155.051948 8.221007 42.446251\n", "Spectab exclosure 157.842105 7.187500 43.131443" ] }, "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
albigula1.0000000.160123-0.454296
flavus0.1601231.000000-0.606458
merriami-0.454296-0.6064581.000000
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" ], "text/plain": [ "species albigula flavus merriami\n", "species \n", "albigula 1.000000 0.160123 -0.454296\n", "flavus 0.160123 1.000000 -0.606458\n", "merriami -0.454296 -0.606458 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_typeControlLong-term Krat ExclosureRodent ExclosureShort-term Krat ExclosureSpectab exclosure
species
albigula159.349005156.933775168.943262155.051948157.842105
flavus7.7585377.8723408.0566048.2210077.187500
merriami43.38536643.29245342.32491042.44625143.131443
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" ], "text/plain": [ "plot_type Control Long-term Krat Exclosure Rodent Exclosure \\\n", "species \n", "albigula 159.349005 156.933775 168.943262 \n", "flavus 7.758537 7.872340 8.056604 \n", "merriami 43.385366 43.292453 42.324910 \n", "\n", "plot_type Short-term Krat Exclosure Spectab exclosure \n", "species \n", "albigula 155.051948 157.842105 \n", "flavus 8.221007 7.187500 \n", "merriami 42.446251 43.131443 " ] }, "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 total sums for all rows and columns, and to change the aggregation function." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
speciesalbigulaflavusmerriamiAll
plot_type
Control164.08.044.044.0
Long-term Krat Exclosure161.08.044.09.0
Rodent Exclosure171.08.043.044.0
Short-term Krat Exclosure162.08.043.042.0
Spectab exclosure157.57.044.044.0
All164.08.044.044.0
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" ], "text/plain": [ "species albigula flavus merriami All\n", "plot_type \n", "Control 164.0 8.0 44.0 44.0\n", "Long-term Krat Exclosure 161.0 8.0 44.0 9.0\n", "Rodent Exclosure 171.0 8.0 43.0 44.0\n", "Short-term Krat Exclosure 162.0 8.0 43.0 42.0\n", "Spectab exclosure 157.5 7.0 44.0 44.0\n", "All 164.0 8.0 44.0 44.0" ] }, "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
Control159.3490057.75853743.385366
Long-term Krat Exclosure156.9337757.87234043.292453
Rodent Exclosure168.9432628.05660442.324910
Short-term Krat Exclosure155.0519488.22100742.446251
Spectab exclosure157.8421057.18750043.131443
\n", "
" ], "text/plain": [ "species albigula flavus merriami\n", "plot_type \n", "Control 159.349005 7.758537 43.385366\n", "Long-term Krat Exclosure 156.933775 7.872340 43.292453\n", "Rodent Exclosure 168.943262 8.056604 42.324910\n", "Short-term Krat Exclosure 155.051948 8.221007 42.446251\n", "Spectab exclosure 157.842105 7.187500 43.131443" ] }, "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
0Control159.3490057.75853743.385366
1Long-term Krat Exclosure156.9337757.87234043.292453
2Rodent Exclosure168.9432628.05660442.324910
3Short-term Krat Exclosure155.0519488.22100742.446251
4Spectab exclosure157.8421057.18750043.131443
\n", "
" ], "text/plain": [ "species plot_type albigula flavus merriami\n", "0 Control 159.349005 7.758537 43.385366\n", "1 Long-term Krat Exclosure 156.933775 7.872340 43.292453\n", "2 Rodent Exclosure 168.943262 8.056604 42.324910\n", "3 Short-term Krat Exclosure 155.051948 8.221007 42.446251\n", "4 Spectab exclosure 157.842105 7.187500 43.131443" ] }, "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
0Controlalbigula159.349005
1Long-term Krat Exclosurealbigula156.933775
2Rodent Exclosurealbigula168.943262
3Short-term Krat Exclosurealbigula155.051948
4Spectab exclosurealbigula157.842105
5Controlflavus7.758537
6Long-term Krat Exclosureflavus7.872340
7Rodent Exclosureflavus8.056604
8Short-term Krat Exclosureflavus8.221007
9Spectab exclosureflavus7.187500
10Controlmerriami43.385366
11Long-term Krat Exclosuremerriami43.292453
12Rodent Exclosuremerriami42.324910
13Short-term Krat Exclosuremerriami42.446251
14Spectab exclosuremerriami43.131443
\n", "
" ], "text/plain": [ " plot_type species value\n", "0 Control albigula 159.349005\n", "1 Long-term Krat Exclosure albigula 156.933775\n", "2 Rodent Exclosure albigula 168.943262\n", "3 Short-term Krat Exclosure albigula 155.051948\n", "4 Spectab exclosure albigula 157.842105\n", "5 Control flavus 7.758537\n", "6 Long-term Krat Exclosure flavus 7.872340\n", "7 Rodent Exclosure flavus 8.056604\n", "8 Short-term Krat Exclosure flavus 8.221007\n", "9 Spectab exclosure flavus 7.187500\n", "10 Control merriami 43.385366\n", "11 Long-term Krat Exclosure merriami 43.292453\n", "12 Rodent Exclosure merriami 42.324910\n", "13 Short-term Krat Exclosure merriami 42.446251\n", "14 Spectab exclosure merriami 43.131443" ] }, "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
0Controlalbigula159.349005
1Long-term Krat Exclosurealbigula156.933775
2Rodent Exclosurealbigula168.943262
3Short-term Krat Exclosurealbigula155.051948
4Spectab exclosurealbigula157.842105
5Controlflavus7.758537
6Long-term Krat Exclosureflavus7.872340
7Rodent Exclosureflavus8.056604
8Short-term Krat Exclosureflavus8.221007
9Spectab exclosureflavus7.187500
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" ], "text/plain": [ " plot_type species weight\n", "0 Control albigula 159.349005\n", "1 Long-term Krat Exclosure albigula 156.933775\n", "2 Rodent Exclosure albigula 168.943262\n", "3 Short-term Krat Exclosure albigula 155.051948\n", "4 Spectab exclosure albigula 157.842105\n", "5 Control flavus 7.758537\n", "6 Long-term Krat Exclosure flavus 7.872340\n", "7 Rodent Exclosure flavus 8.056604\n", "8 Short-term Krat Exclosure flavus 8.221007\n", "9 Spectab exclosure flavus 7.187500" ] }, "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 1\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" ] }, { "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 `FacetGrid`, one way of creating a line plot is by using using the `plot()` function from `matplotlib.pyplot`. To facilitate the understanding of plotting concepts, the initial examples here will not include data frames, but instead have simple lists holding just a few data points." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "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 and some configuration is outside our 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 labeling 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 `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": 16, "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": [ "Calling `subplots()` returns two objects, the figure and its axes. Plots can be added to the axes of the figure using the name of the returned axes object (here `ax`)." ] }, { "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.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": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "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": [ "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": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "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": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "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": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Measurement X')" ] }, "execution_count": 21, "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": 22, "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)\n", "# The default is (1, 1), that's why it does not need\n", "# 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": 23, "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": 24, "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": 25, "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 2\n", "> \n", "> 1. 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).\n", "> 2. 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 to search online for this)." ] }, { "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": 26, "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": 27, "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": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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caratcutcolorclaritydepthtablepricexyz
10.23IdealESI261.555.03263.953.982.43
20.21PremiumESI159.861.03263.893.842.31
30.23GoodEVS156.965.03274.054.072.31
40.29PremiumIVS262.458.03344.204.232.63
50.31GoodJSI263.358.03354.344.352.75
\n", "
" ], "text/plain": [ " carat cut color clarity depth table price x y z\n", "1 0.23 Ideal E SI2 61.5 55.0 326 3.95 3.98 2.43\n", "2 0.21 Premium E SI1 59.8 61.0 326 3.89 3.84 2.31\n", "3 0.23 Good E VS1 56.9 65.0 327 4.05 4.07 2.31\n", "4 0.29 Premium I VS2 62.4 58.0 334 4.20 4.23 2.63\n", "5 0.31 Good J SI2 63.3 58.0 335 4.34 4.35 2.75" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "diamonds = pd.read_csv('https://vincentarelbundock.github.io/Rdatasets/csv/ggplot2/diamonds.csv', index_col=0)\n", "diamonds.head()" ] }, { "cell_type": "code", "execution_count": 29, "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` plotting functions can be made 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": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "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 53,940 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": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "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": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 32, "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, alpha=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is 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": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Price')" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6Hm/utHl9oznKpBqPRYwnDgAsZC0uVdv865fWWG/2yFo6OUufOt/bCWA3iPjjV3e51oyxgVPlDE8t5clZKk8u5vjaR2dxbJ0vXK1zfc/lw2dmeHQ+h2NqWLqKIm6db3zh5Ubd3ac4cqbOXN5mPmezWs4cUBjD2mfVdp+NpjsK7h/GcVrjkPL+574pFSnlZ4C9aZ8NrI3/CPi12x1DCLEI5KWUn5VSSuBXgO8ZfPzdwC8PXv/y2HjKXXI7AXy38ZJpq9onjzt+LDeIuFnv0eoFRDBa39H1QtpuQBxLvCim60VkzCRjqtH3+ezlKkIIpMJtn9ptXWWpYBNG8eh4wznEseT5M0XOlFV0BeZmMlTbHp+9vMe13R66pvLsSonnThYRSJaLDs+ulJKAOvvvQ63r8dnLu+x2+3SDkI4XjApQDu+FF8X70omH8+4FITdrPWLkPa/tSUl5r/NuBeq/HtiWUl4aGzsthPiSEOKPhRBfPxhbBtbGtlkbjAHMSyk3AQb/zh12MiHEjwghXhRCvFitVo/uKt7n3O4J+G5dLsPtgNGxJo87fixTVShnDGZzFo/N5TBVhRt7XS5utrm002a3kwS3K1mDvY5P1wvRVMGTK0X+yjMLnCplWSrYIyUxyfCp/2q1y5VqZ1+xxo2my3zOIWubtGPYrvUwNJVnVgosl21Oz2SYz9vkbYN6J6Dnhex2+lzabtOfuA+WrjJXsLAMFT+IWK/32Wi5fPFGHTeM9i147HohuhCUHAN1sC5nseiQNfUDyuI41YhKeTh5twL1P8B+K2UTWJVS1oQQzwH/RgjxFDDt0eyef21Syo8BHwN4/vnn01/rgNsF46fV9poWLB7fbnx8/LiThRJdP2YubzKTMdnr+VxYb7FatkDCtVoHWy/gGBog2O32uV7rEoaSimOhaQqNfkCt47NS2l/aZPx8Z+ayQOJKa7sBYRxTtHUabowShQhgq9VGGwTn39zuULQTF5xjaCyXM9RdnwvrTXKWQTljjFKA3SAiY2g8vVIkjGIKjsFS0aZsJ8kDRUsnGFQvHirUkmNQ7/n0/JA3tzs8sZCbmlJ8v1K5U+5MmhBxNDxwS0UIoQF/FfiN4ZiU0pNS1gavXwKuAI+RWCYrY7uvABuD19sD99jQTbZz/2d/fJh0uRxmudzONTMtZpPUnFJpu0kAXlcFTy3laPZDLmw0qbV9YimTFeZlm3o3oNbq8/pmk71eEvSudT1msgaxlPvKvIyfL2fr5GwdL4q5Uu3wxmabzUafsmPy7MkSJvCV9TZXdtuULZ1z81l0VRCGMWEYo6uw1XDJWxpPr+R5dC47ctNd2monisXUyBjJSviiqdPoB5QdY1Tva2hxLBXsZKFnyWEpb/PcaglTV1kbxGKGc2+7AWEU3zFwn3J/SBMijoZ3w/31LcAbUsqRW0sIMSuEUAevHyEJyL81cGu1hRBfM4jD/CfA7wx2+13ghwavf2hsPOU+cDdVcyeZ9iNtdn1eXWsQRUk5luu7PcqZJIPquZNlstatYpRlx+BE2eH8apGFnMXNhks0eJIsWnoSOBe3P5+tq5yZzfLkUp4zc1n8MObGXg8fmMk6vHJjjyu7Xeq9gDc229S6Hl+6WedTX9mk6QaUshamrrHTTJIL+l64L4ay1/OpdXy2OrfK3A8tszCKubDeII4lmqaMUqaFENS7AeWMPor9dL2QK9UOV6vdA4H7obL0/ShtsHUfSRMijob7mVL8a8BngXNCiDUhxA8PPvp+DgbovwF4RQjxZeC3gB+VUg6D/P8p8H8Bl0ksmE8Mxn8W+FYhxCXgWwfvU+6Su83WGnK7oo2HMe1Hutnp8xdX9ri406LgqMzmDXp+SLMXkjU1wigezcMNIjYbfSqOxWzO5ONfXuel63W+fKNB3U3W1Zydz43cRIcJBUUR5KzEcomlHCUJ2HrMo/N5DANmbJ2eHxBHMZIYQ1V4YjHP08tFKhkTVRP8+eVdtrseSMFb1Q61rsd2s49EMueYfGi1RNkxRufthxHbbW9fM7KuF3Jjr4tjKFi6Oor9xFKyULA4XTmYLTZUlsOYzbvRYOs4kCZEHA33zWkrpfyBQ8b/xpSx3yZJMZ62/YvA+SnjNeCb39ksjy/jvnvgjn78t/MUNy1mc6ro8NHHZ1GEZKfloyhBsuq87BDGMc1+uE9xxRK2233W692krbDXJ6sbGJpy4PjTztf1Qq7sdDgzlyVn66iqgj5Y4Fl3Q2ptj0+9us1Hz85Ra/tc07t85s1dQGANSsB0vZD5vMk3PzHHfMZiU3e5udej2fexNMGFjRYzg+QDN4iIA8la3aXgaHz4kRlmxpqRxVLSdAP6fphYaIPYD0DTDciVDqZKD++9LpJ4z7jiuheGllXZMY60nH5KyjjpN+uYMq4k7kZhHNVTXC+KCWPJ6UqW1RmbSlbn9EyGStZkLmvxkTOVUUfIYVyl50csV7I8tVLg6naPME4aTd11htTYlCuOyQdOFLABGUsU4EatQ8PzWS5nKGR1VmcyfNMTcyxkrCQzbavFzT2XubxNJGCr2afnhVxYbyFUwULRxhrr1ggwkzVougFZSx8J8DiW9PwQGcdIknL5w9jPsErxeBOvyXtvGCpzeettK4R3s5VwyvEhTS85pkw+1d9TUca7yJI5bJu8oXGq7ICQfP5KjX4U8y1PLIziCMOSJsP3ZcdAzmQ4WXJYb/UI/JhIge1Gn5yl33HeQxfZUGEGUiIGWmazHRHLmKdPlNAUhVJGZzVvw6MKUSzZdX1e22xxbj5LxtTRhWDPDzA1jWdWM6iKQtHUyVsGGSOZR8kx0IWgKyULWWtf6vNux2O94WKbOmdms1OtrMkmXkdJ2TEOuOhSUo6aVKmk3DN3k/Z62DYtP+TCWpOtlstut89jC3mMsSfvyf28KKbhBkSx5HNv1Sk4Oo1uwDc+Pjd6qr+dcptUnjKMuVRt4QKaD34YsVpJyty/fGOPeLmIRJCzNSq2wamZDHlT52bDpe36bLf6nJnNMT/o1Nj1wlHdtDiWbNRdmobCF282eP5kiVAm63fiWLK212Mxb43SoKdxP4PFmqYwl7eO/LgpKeOkSiXlnrkbwXfYNkVLp5jR+dNLm5SzNnMZE0UI2m5wYL84loRRsr7EVhW+6lSZhZxBw4t4pJzBi+J7fqq/uNPmS1c7ABgqPLZcIGOoWJqg3gvYabs8MpfHDSJ28bmx18PUBM1ewE6zx3bHZ7FoE4YxjX5A0dJH8+16YdJ0LIyIJUlxSstIrBWZrEdRVYWtRh+Ety/JYMhxbrmb8nCQfnuPIe90kdfdCL7h0/jkeQIpsXSVctZmo9ElZy2iCDHKgFou2oOFj4nVcrXaJZZgGQo7bZ9KzkRXlVFBxntNc57LGZwsa1S3QoomvLHR4uXrLb7liXniGLKmjqYKlmw7Oe4CSSMurU8pY6OqGvVugKq4vLHV5kOrpdHT/zAGtN1O6oYt5GzcIOLSTpv5vMliwaJk33KV3Wlh6f0gXeCXcr9JlcoxZJpr6n4Im2nn0QeryDuuh61rFLNJXOTMbJaeH7JeTwosDuMgZ+aydP2Q7VafUxVnVDJ+qLAmS/bfie2mh6LpnC0rzGdV8obKXN4gYyn0+hGvbrS4UXN57nQJQ1NYq3WZL1oQC9r9kPPLebKmjiqhV47IG/vjIpWsScbUbt3HIMILYq7VemR0bVSuf/w+P8hV9OmK/ZT7TfqtOoZMc03dD2Ez7Tx11+dKtUMxYzKft0ZWSc7WRy16TSXpthjHctTZURFiVEa+6QUs5W10ITA1BV3cvRJ0w5CWJ6l2fGouZOwOyzNZcpbOMyfzXNttc2IxT63r0+wFrDd6SEWwXLbZ6wQIkVhpux2Pa7s9HENl1ciM7qGpKoRRTLUfMJNJFMz55ULi/hKCWEqubHU4WXYIpKTsGHddEucoSBf4pdxvUqWSAtxe2AyFnKkqeFF818JumpvM0lVWZ5IFfrWOz7XdHpWsTcbUqHU9/uxSlXImcREVHYtzi7lR2vNS3uZ6rcMfvrHDdz2zRM42eGOrjWNozBl3J5CXSjaVrMabVShZ4OiCpaKNIpJeKFGssFS2KdomYRzz5GKSSOBFMctFlWrLox9EzDkmp2Zstloutq7iGBobTZeSY3Cl2mGn2ef5kyUCKVnK2xiD+bXdAATU+z5vbnf40Gpp1FJ5iBtEXKt2yVgqK0XnSNeUvF9iNqmb7v1Luk7lGDKsXzWskwW3X4cy3L7W9d5xbSRTUZL4QtlCUSBnqKNV9FIkiwNdP0LVFJZKFrau0nYDLqw36PQDNpoumiowdGVqiuydyvnHEkqWhqPA+fkMZ5eKKCJJX57NJuVihn1TCrbBfMGm7YW8fKMJAlRVcGG9xXa3T73n0+5FXN5pE8ukjH3R0jk54/DC6TK9MOQTr2yy3uyN5jBMcV4pOKO5T87Z1lUylsprm61ju6YkrcP1/uW9/8iScuTEMnkKjOU9FGwWiZWxYunvyHVyvdblNz5/k5Kl0o/garWLG8mkHIpj8sLpCu1+yOlKhtlckn7rDsqdzOZNLE1joWDj6NrUFNk7lfPfbvTRVI2sA8+slnikkqPrR0ll4lKGgq1xbbeLqXqcmLEBaPdDnlzKYagKu22XUzM2WVMjkpK8rSIGCxlNVWGt0aPbjzg1m8EyVB5fylMcU3rjCQzDxmSKIvbNWVEEK0XnHa2eP4z3iwWQuunev6SWSsodGT5dDxcb3kkY3a6WmBuF9LyAcs6k3ffZ6/nUO33CKCYYpN0+MpsdKRSArKZScnRELFkuJePBIavpb2dx2bqKlPDq2h6NDlzfa6NrKrVOABLOLeSpZC1UodALQ65WO9zcc3EMBVNT6AcRWw2PZj8kkhBFsNZwmSsksZO9XrJY0tIF7X5ARtd44fQMBfuWYgjDmBt7Xa5Vu6On8GlzHirMoy6ncr8tgKPqB3PUdbjSPjUPjlSpHEMUIbCNW+1x7/SDG/fDTxahHHY7HN/3doJrPmfxzGqJ5YqNqasoQrLZ9Gj1fFquT9HWKVp6YkkNznOx2uFTF7b4xFe2iJE8s1zA1JR7FhCKIuiHAWuNmD7w5bUWr683uFnvUm15tPsBtqaSd3QubrbIWhrlrM7NmsunX9smjGK+6pEyTy7mqWRMPnSyxNc9OstSPkkdLlo6z58sYxkqn7tSGxW9HBeMQ8WTsdR35Sn8flsA71W31Xt1Xg8jqVI5hkxW973TD+52LYP3ej43aj12O95IyN9OcPWCiJ2Wx0a9RyVrcnY+SyxjNlouf/FWjWu1Ho1+MDpP1wtpeX1OzVhUshpbLY+dtsf12vR2xXei60f0B6+3mpLX1xsoCK7vdfjD17d4c6dFKaPx7EqRjKWy2/GwDQVNEfhxTLMXoiDwopicpTNfsEf9UwIpmctbZE096Qo5ls3VdgPabrJY8rnVEqV3qVTK/a7E+151W71X5/UwksZUjiFDwTIUxqaq3PYHN6z0e3o2s2+7YQFESHq2j9J/J44/7r8vOgZnZh3W9rp8ca3FybKDoij0gphnTxQpZ0xsLTm+qSq4ccRm3efz1/b48JlZHp3NkjX0faVO7iUd+txCjnNFuNiA1QK88GiFfhiRd3QavYAv3tgjZxp4YUSta7Dn+qyWbD7yaIWCrdP1evSCkO1db1T5eFJg5Sydp1eK++Z3pdoBCWcXcmQtnbV6D01V3heZWPfCezW77L06r4eR9C4fU+JYstvxqHV8VmfuYm2KSNxmk0Uo41gmQrV4UClNXWQZSrp+RChjZhyNmZyOqgqWiibljElu4PoaLmrMmBoffrSMG4SsVpzBinclUTiDgPO9rPNQhIKp6UBAiEDXVPK2xXqjT0ZXODuXI4iSVf+aAleqHZ5ZKbJSdHCDiNMzGbpBUo5ldMw7lOAfNgobvgbSp+aUh5bU/XVMGW/LOy7cprmShiveh59PHmej6R7oVgjTXQ7rjR6febPKpa0W5YyJUAS1rs+N3T6vbTRHltOw/IqiCCoZmw+ulvnAUglFCNbqPWpdb5QWfVjr46HLbnzOMo4JkWjA+cUC51cKnJ51eGohz143KQ5p6yo36z1msibf9PgcCwVrcEyXuutT7waslO1b9b7u4HZTlFtHqK/EAAAgAElEQVQl7of3KW0GlfKwkiqVY4qpKsxkTMqOsU+4TYuvDAXhRtM9EMcYd51NKqRpwtM0FXKGguvFfOH6Hl+4skfJ1jk1a6MKhWqnP6r8O2zWNVROMxkTW1cpOUmTLg6RycPtJ3vYA7y126PeDZnPwVOnStzcdfnUV3bwoxgUCKOYjh/h6CqaquBHkqvVLtVOn7ypstVyEUiymspao7cvi+t2TN6bt5ONdJQZTGk2VMr9IlUqxxQ3iNiouwcE4mEBzcnqwbsdjxu1Hl4UjxTHtEWVk8zlbM4tFwijiCiK2W506YcRlqaStVRevdnkZqPHXMZMqhSH8b5Fl0Ol1w+iAz1JhoyU2UQPe4ATZYvV2SyaAl+4sker75O1FExD4dxcnpWyQ8nRmMkkAffTlQy2ofLaRpt+FFHr+Lx8s861epfXNls4prKvZ8qQMIz39ZMfzrvtBuy0+rTd4J6zkY4ygynNhkq5X9zPHvW/KITYEUJcGBv774UQ60KIlwd/3zH22d8VQlwWQlwUQvzlsfFvG4xdFkL8xNj4aSHE54QQl4QQvyGESDsP3SVxLOl4wSA2sP/JGThgXUzGKA5znQGHWg/D4/SDCBlL3EiS1RV6QcRu0+fyTodeELFSsrm42WKn1ecL1/bYbrrcrPeo93xa/eSv3vNZb9xyuU176h6+nlQ8nX5M35eoQmWvF7BZd1ksOPihRFUFX7re4Es3m8xk9aRWVyTZabvMZpLqxVlLY75gM1+weP5kmXLG3GfBDZnssjhUym4Y8cUbddwwYqlgT1VIh3GUGUzHMRtqUtGn3B/up6XyS8C3TRn/X6SUzw7+Pg4ghHgS+H7gqcE+/4cQQhVCqMA/Ab4deBL4gcG2AP9gcKyzQB344ft4LQ8VbTfgtY0mcSxHa1Vu9+Q6rYzIajkzWhE+ZDxVeZqgd4OIt3a71NouuqKQMzX6geTcUo7HFnIsF21OzWZYKjm4UcirNxv0wpDFvIXrR1ze6XCt1sPSVE4MerYf9tQ/LdYTxxJDFxQclSiOKGc0HlvOcX4xRxhJbta6ZA2FrKGiKYIrOx32XI9r1R6fv77HtarL4/N5Xjg1Q8kxmctb5CydpYJNGMW03WB0vZMlZIbWUyVj8sETtzLDpimkwzjKWMxxjOuk7ZQfDPdNqUgpPwPs3eXm3w38upTSk1JeBS4DLwz+Lksp35JS+sCvA98thBDAXwJ+a7D/LwPfc6QX8BDjhhHNfshyyR49xd/uyXU8cH5YZtU0a2ZS0Nu6ymrRppSxWChYnJnN8NWPzvLoQo5aO2Cz4RFEkvNLBU6UMzy9mqQYe1GMF8QsFS1OVzKcXyowm7Oouz6fvbxLy/UPVCs+rBLzGxttLu20udGCmzWPL16t8zsvb/C5K1Wyts75lRKqqhBICSJJgX5yuUDe0ihldWYy5ijgDrfiTVd3u1zZ6YyuV9MUKtlk7kM33k4rWSGTtXS2Bq/fibWQxkXujbSd8oPh3Yip/G0hxCsD91hpMLYM3BzbZm0wdtj4DNCQUoYT41MRQvyIEOJFIcSL1Wr1qK7jfUslY/J1j86yWsrsE46HPbl6UTwKnLtBdGCxI0y3ZibdO4oi8KOYyzsddro+S5U8jy8U0FWV05UMSyWLWsfHDSIKlsELp2cw1KRO1tPLedwgptby0bQkK0xTBIYm6HgBX77RoO7eegKddj22rrJUsshqUDbhmWWHKIj54o0auqqwUethGmpyb4oZzsxmCSKJY2h81ekKqiJGSmJcmA9Ths/MZae2E3CDaN9T8lDhja/reTvca1zkuCuh+1X6JmU/D/ru/jxwBngW2AT+0WB82q9Kvo3xqUgpPyalfF5K+fzs7Oy9zfgh5F5+XEOlsJCziGOZZI1ljVFvk/Ftlgr2vqKIAFd2OvsC94amoKvQ6gRsNjoUHZ16N8CLYsq2gaUJLm4197cXLjjU3YA/emMbVb211sOPYtpuiKKKfSvYD0NRBIslh0fmijiWQrUdcm4pz2opi60Jzq+WWMk7Iwuj54dUWx45S+PRSpbVUmYkmIfCfDwWNSwUOa2ywPhT8lG5nu41LpIG51MeBA9UqUgpt6WUkZQyBv4piXsLEkvjxNimK8DGbcZ3gaIQQpsYTzlihrEJL4pH/v/JxY63W6tyQP1L6PZDqj2XthcykzGYzZnUuh6NfsBWq89Go8+em6xDcYMIL4p5a7fLbM5iNmeOBLdjaJyoZKhkrSQgb9x5Le9qPsOpmQztboyuK4NsL4PHlooYmqDpBXS9kIubbV5ZayCQtN2QRj+Jl1zaadPxApYKSbvh3Y7Hxa0WF9abt20NMKnIx0u3TKufdjfcq3I6jsH5lAfPA1UqQojFsbf/ATDMDPtd4PuFEKYQ4jRwFvg88AXg7CDTyyAJ5v+ulFIC/x/wvYP9fwj4nQdxDQ8Th2VNTbp2VkoOZcdgpeQAsDaRijx0dU0GqydrjAF0+iHrjR6tLtzY6VDteBStJFZRtHTOLxX56Lk5ioM+I7FM1oQsFW1OljNEkpHgHpZDMVR137qW211nJ4xwgwChw/XdDl4Y8fRqiUfmsni+5NX1JmEUU87p7LQ9Nlp9HEPhWq3DzXqXbj9is9EfxY2u1TpIKVGFwJpw+U2zDIbKpNruc2m7kyQD9PwHYkEcx+B8yoPnfqYU/xrwWeCcEGJNCPHDwD8UQrwqhHgF+CbgvwCQUn4F+E3gNeCTwI8NLJoQ+NvAvwNeB35zsC3A3wH+SyHEZZIYyz+7X9fysDGtQOSQrhdycatFtd1PssMGgkjTlFEMYNL9dViwepoQc4OQTt9HAllT4cZeh2q7z0Y9sYYKGYOFgo2hqqNKyjs9jze32hQzBpWMORLcwKgf/DCRYBrDONB2yyWIIp49VSajQqsfUe/6FB2DrKFTyuo0Oj47HZcojnl+tUg5Y2CbGl0v4uJWm+Wyxdn5HKaq0PVD2m7Ejb0ec4WkxMz4ItFplkGz6/Mnl6pcrXZYKlmcmcuOFHZqQaQ8DNy32l9Syh+YMnyo4JdS/gzwM1PGPw58fMr4W9xyn6XcA8Mn6IW8dUAYx1LS7PnEcZKlNEwPHm8nXLR0gH37TatvBQezwjK2xoxjsdXqsd3p8/p6i5OlLPWehx/YtAdziKVksZB0flzIWnzN6TKOqYzKsmw03VGwe5hIMFR+4wythqKt8dpGi1rb4ysbTXY6MJsTSBVq3T67XQ0p4cmVAle2O3zpZoO/+uwyq+UMeUPjsfks/bLNSsHBMNTRqv8nlnKoIs9MxhwVuRwqiGlFDOt9n2u7XVYfq5AxbgXq0+BxysNCWlDyGDIqYxLLA8JYEYKCY7BUtPfFTNbqPUqOQb3nj/7dt9+gvtUkk0UlTUXgRxGdCK7u+HxgOaDlBWy3+uwW+txouLj9EMtUyRoazkoidFv9gC/dqHNyJsPKjMNCzhrNb9z91uz6+yykYbynYOsUHB0FyY2dOgUHvvZ0GaTC6xstFGC+4PDEXI5Oz6fR67PT64OiQBaqbR8keLkYz40TF5ljMJMx0Qa9XYYVmW9XnHOl4PAdTy9SsHXW6i4zWePAep9x3i+dGlNShqRK5RgyXpp+0u2SMTXOLeT3CbHhOpXiwHIZrgeZdDeNC0BgZN2Mn+NPL+3yypaHDqyUVD6wWmCt0cPRVVBgvd6j78eUsjoKSS0uYrAMhZylkrc13thq8/xJncJYOjTAaxstpIxxTH0UyxkqUFNVyFk6N+sdbNOm7MSszuY4v5zniYU8YRTzF1d2KWd0DEPBC2LWah1WSxmymkrOUjFUhY4XsL7Xp9X30XWFx+ZgNmcdUJ6HoWkKszkLU1UIsnJfy4Bp3EtZ/7shVVIp95tUqRxjprlnpo0N64TZcyo5Wx+5fsatgWE67VAAAlOFoR/6xEAE9AKF61WXatfjgyeKVLIW/95Ti7T7Add2Oxiqxl7P48p2hze225iaynOnTZZKGcqOsS+dN5YSU1dYLCTl8cdTm4fn1zSFhYzFkyt52kGEEILdVkjB1pkr2DyxXEjiK5bG15yZoeCY1LsBQggurLfImSqmrrFQMHHDED+IWW+4ZC0dU1Uo2jrhYB3LYQK77Qa8ttnkycUClaw5UnyHcdQZW0etpFJSJkm/VSnA7Z9gYylHmViwf4X9sIHXmbmkxtZkE69JYWjoGioQAk/OZ8jZCuvNkEDG+GHMQt4mY2jstn0WCib1XkA/jCCOWSzYST8VRRklAwybX52Zyx6wsKZxcbvNp1+r0nB9lgsmjy0VMBSdWEo+dKJEztZp9wNOzuQ4VXHIWwa6EETLecI4pu3GVLIWlYxFq59knOkiWRS52eiD4EDG2zhuGLHd9jg9G1FQjDsK9qNuLpWmFafcb1KlkgJwQDmMKxhFCEwtsURyA+WzUXdvCaaBDJ8UgNOEoRACB8hnwDJUDF3nRClLz4+5Vu2iKgr64JxF2yBj6sxmDTRNMOOYxJHkSu2WIjkzm92X/nwnl45jKdiaYMsL6PUj/uziLpqmslCy+KazcyCg54fYukbWTGJE9b7PVsvD1BRWZzKjRmJrdZfttkfeSuIiZ+YOJipMUsmYfORM5V0rFZJ2QEy536QpJym3GMjjyfUVGVNjpWxT7/lJKrJ/q/PhtLUo40yuezkzm2WxYmMooBk6HziR5wMnCuw2kxTmS9utRKgbKn4Us7bXo9UPCQP47JVdGn2f05UMi0Vr1MRLUQRrdXdf6ZjDSpLkLYOVokUlZ/PM6RLPnyqx2+4hgoiXbtT50rU9Llc7lDLJ9Vypdnhzu0296zOfNdEVwU67j4gks3mTrzp5a5X8eCOuw5isCZaS8rCRKpUUYL9ymHSRKIqgkjVZKTp0vKQi8GLB3LfvYYJ0UkH1Q1CIEJrGm5tNPv/WHs1+QDlngQrbLR+hCM7O53AMjXY/4CtrTVQNTlUy5C0dL4zZ6wY0+slcYimxdMGNve4oxnJoSRIJoUg+v7zZoR9H9PwY01S4uNlK6nv5IWsNF9+P0FTBXNbEC2Ka/YCXru/xR29sc63e5fJOF22QZn0vCuKwuR332lwpDwepUkkB9i9UPGzldc8PubLTxvVi3DBx/0xr2QvTO0MCLOR1+pHkSj3kWt3l6lYT1w959kQRx9D44Gph1AgsY2h8aLXMyRmHL7xVo+MF+GFMte1h6QJdFSwVbAA2Gi5ecGsOh8UO+mHEXtuj3vFZ3+uyvttJisYJgaFoKJrAUDX8IGK70+dzb+2haYJz81lu1ruEUcRs3qLk6MxmTYgPdpe8E4fNLa3NlfIwkCqVlEObFw0VQxjGbLdcXl1rEMeCpZLJXsennEliDpPFFcdLlIx3hgT43JUGN+oBMxZ8w+ksJcek7Ub0o5iirWNoCq9vNLm03cGLYnK2jqkrNF2fy5tt/CCikjXYaLhcrfaARNnFwCOzzqhvPEy3oDKWjg40fFCQzOQdnlgoMJu3+Jan5lCFYLFoYuka8wWLb35ijqJtcLXWZbPZ5/RsjqeWCvSCiC9eb3Cj4TLNsLid1XGY0k6D6CkPA6lSSTnQvGiyjEut6/HaRpOtVp9yzqBoGwSRRBOCrh+OFiKOP2kfJiCXSgbLBRVHBc1wWJ3L8sIjZZYKFtW2xxubLcIIihkNU02yvNpeSN7UuVrrUm17yYp7YLGYuOA2m300oZA1dbwovu3TflZTiWWMBHbafU7OZPiuDy7x/EqFxZKNoWo4g1bEmkjWlPhhzE67T87SyVoaTTegnDH52rMzGLpguWSN7tuQt2N1pLW5Uh4G0jSQlH1l2Yf952sdn5WSzUrJIYxiCk5SkwsBQSyxDZWmF/DGZocnl3LkbH1fDxWYnv0VRgIpY2xLRwUsTWOn5bFe7/PYXA5FEZQzBl4Y40UxqoSCrfPoYpa1hkut6+HJpGNl1kwWY56dywG3Ss+Pl+Cf5JX1Jhe3uhjAfMGg7QYoigoStlt9Ts8kGVwxkp4fcr3WYzZvcKqSxVATxVV0TGxdpWAbIwttvGzMcC6p1ZFyHEmVyjFkck3KZFmTpP+8ORoLw5jVcoaipRPIpKeKram0/YBz8xm6fogbRKPtb7e4zjIUcoZB2VFoeyGBDFmre1yr9VguWZyZydEJAqQU6EKw0Xb5ozeqtF0fx1DY6fTRdJXzS4XR+YblYbpeOBLuQ+VYdox95eZtQ5C1dbbcgLxtcXo2x0ajz5WdNjsdnxnH5M1qCz+MWSlYI9fWk4t5HF0bFY0cclhlgjR1N+W4krq/jiGTrplJt9V4//k4luz1fGodn0DKUb2vfhjx0tU6jqmNmleFYbyvode0eMJc3qLgmHx5zeUzl/f45Mub7DQ84jipr9X0Aj5zcYdPXNii2u6zlLf5xnNzLBZNKtmkV70+cHWN956fTAoYuvRqXW9fnOetahcZh8xm4MxchqypYegKcwWL+YJFo+/zyo2kP0rPD7EMhfW9PttNb9Rxcvyc95qpdVj86kGQZpelPAhSpXIMmXTNTFbWHe9g6AYR1baHbSijHvVtNyCMYyq5pNvicCHgXs8/0NBrEl0IeoFPO4aeD3lL4asfLfO9z59IVrRbGsslB8+LcaMIw1CZL1i4vmS347Je71HJGSMLoeuFtN1g1NBraL0ULZ3HF3IYmjJqf2yqCufmczi2zV4XLm53CcMYTVFodANqHR8viPi6cxW+5swsqqZwrdalkjdGrYKntQ24l/jJZPzqXninSiHNLkt5EKT2+TFkvKDksG3veIB4vD5U0gpX563dDjldox2E7DT7BLHk0bksmqKw1eoxkzUpO8ZtC04CXNzqcK3aRwEWc1B2LC5vd1kpS+azFjeqLpah8u3PLLKSd+h6IZauYmgKmw2P1Zks/SBks9kja+hstfsUbP1Ah8lASryBwhj2f8mYGghBHAaYKmzsdqj3fE7NOLy10+atnTZlW2cuZzGf11jKJn1dFrIWkWCf1TaMN92uJA0cdDWOx6/ulXdatyuN86Q8CFKlcgwZCro4llzZ6eyrVxWGMe1+wMKgkq4bRIRRzJVqh4yucrXW4+x8ln4gkSSWh62rFC0dTVPQNIW2G4zKuOQm+oTkMxp5W8Frx0QxnJjNYJsaW02XWtlBVxUWCybq4NzX93osFywWSxYnyg6WJvjkq9sslzJ8w7kZ8qaGqSlJO+ExQTsuQIdVgE1VQSiwVM7gBi0eX8xjGgrXdnu0vRDb0Fmr93AMjat7XUxV0O4nCqHhBhRtnfW6y2LBSjLQIkk3lrcV0pOKYNhW+O3wTpVCGudJeRCk37BjyLDO1+nZzIF6VXs9n5dvNvjgiSJeFFPr+OgamJqKaSoUHYPFok0YSdbrLl074MJ6C/uMyrxh3zqJSApRDnuMDK2g0+UMZ+ez7LZb7HTh5m6Xp09XiCLJTqfPyWKGaqfPV9ZbfGClQCwF640eX7pWZ7WSYaWSYVUonCw7bDT6CClRVZXzy4V9AfTxOMuwa2XXC7lR61FrBex0YqSqsNf1CWLJ6dksp2cz3NhziYgpZ0w0VVDveZwo38qCA4EbRqw3XNr9kIKjs1JyqPf8qRbEeOn9yXtxr6RKIeX9QBpTOa6IpCHXeL2qOJboquDMrEOr77Pd7DOTNVjIWDw6l6Nsm5QyBoaq4hiDjoWqQFfBj6J9hR2XiomCmfThv7HZ5pUbLdzB+6wOnX7AZtOl0wu5Xnf54vU9dlp91psuyyULVU2UXb8fcrKU4YVTM5ycSSyThZKNqR/8Gk+LXdi6ygsnZ3hk1sYL4dJWm098eZOtvR7tfshC3uH8UoFHZrOslm0UIWj2Q/woCarbmko5q9P1IkoZHU0VLBas27YDHiqCO62fSUl5WLifPep/UQixI4S4MDb2Pwkh3hBCvCKE+NdCiOJg/JQQwhVCvDz4+4WxfZ4b9LW/LIT4OSESh70QoiyE+LQQ4tLg39L9upaHjckikOPB5+u7Pdb2+rxys4WqJjGAXdfni9cbVLs+Z2azI+F5ZjaLpipUuz4XN1ujIPIw7gAcaFdc7fRpDeS8Cex2I67vJqvVlwo25xayPHuixMlKItQNVSGSYGqCfhRxo95js+GhKQrnFvKcKicl78ef4IfK8dx8dtT6GBIBHwOmrlDKCeLQR1WTIo+mpuD7ERc2mrz41h4v32iiKIJnTxSxdJW1eo+667PX8ZnLJZloOUtPSvEPLKHbWSCTrqs0EyvlYeV+Wiq/BHzbxNingfNSyqeBN4G/O/bZFSnls4O/Hx0b/3ngR4Czg7/hMX8C+AMp5VngDwbvU94GbTfglZt1wijmzFyW80t5VmccgsECxKW8zYcfKbHbdul4AV0v5NJOm54f4hhJDxVT14hlsjZku9nHNpKvVr3njwoudr2QE2WHStLDixkbzq4WWCpYKEIQxTGv3myy3nRx/RhTSYo1dvohy8WkmGQYxRhakgRg6ypeFB9wKblBxPVaj2YvJJD7hXa373Op2qXZljT9mKWChWXoXNzq8NZuhzc2mtS7Ho8v5pIV+oNg/0rJwRqcxzGS9Sq3q848yeRq+fdTJtZRKcBUkR4P7ptSkVJ+BtibGPuUlHJYee8vgJXbHUMIsQjkpZSflVJK4FeA7xl8/N3ALw9e//LYeModOLBOZdA4alhrSwrBVqNPGEt0ITAMlUreYqfp89ZuFzdM0mgv7yR9TZ5aKvD0chGAG3tdhEiUC9zKihqe09I0inaymr4bweaOy2LBQQjBXs/nwnqDrabHVrNPxtIp2waljIkXhGiaCjG8ut6k7vqjY04WtbR1dV95/HHWmn2u7HRxAT+QnJrN8uFTMzy+kGW77SKl5EMnZ5L4yEBhDis3K0KMEgImU6/HuRvhOW65vNeF7VEpwPeTIk15+7ybMZW/BXxi7P1pIcSXhBB/LIT4+sHYMrA2ts3aYAxgXkq5CTD4d+6wEwkhfkQI8aIQ4sVqtXp0V/A+ZdIVM2wcVcmYxLFMsqnmMmy2XBr9JOW4bBt81SNlHp/PYesqj1Qy2EZiKTTdYLQa3wtj6m6AF8b7UmmH5zQMhXxGJ6dDGADExIqk0w8IoojFksWHThT4hsfm0BRB3fVZKFg8d7JCo+snK/0NhYbroQuRrJ6X+ysFJ7EehYYb4EX7Fxmenc/y0bNFZm1YLhp0/YhYQNsNWW942LqKpgmuVDv7Kg+7QcRG0x1VIBiODdfAjPdx2e143KjdXnhOVjF4Lwvbo0pFTlOajwfvSiqJEOInSTrK/upgaBNYlVLWhBDPAf9GCPEUB1YfAHDPj3NSyo8BHwN4/vnn35uPgw+Q8SyiMIzZ6/mjciZdL2Rtz8U0FD64XMTUFMIwptEP6AeSjAm7rT4LeYuVkkPR0slZOn4QcWWnzWrJQdUUBInrK2fp+1xEFcfgsYU8tVaPageark+97aEqgq2mS7MHttZjvmizlDG4vNNGV1SkIoljkowsN+SzV2pkdR1dV9EVMfqmDNOlJ0vuj5CC9WZI1YVZX2BpauLWEvDWdpNvPLfAZtPFMXR6Qcj2rsfpSgZFEQdqipmqMurjMkxd3u14VNsesznzroXne13YjltlafZayp144JaKEOKHgO8EfnDg0kJK6Ukpa4PXLwFXgMdILJNxF9kKsDF4vT1wjw3dZDsP5goeLibLmehCIBR4fb1Nc6Bg1hq9UZykaOksFWx6frivtH0/jPj/2XvTGLnS9TDv+c6+1drVK7ub23DI2Ze7yTfWenV1JdmQkwABJASxfghQ7NhA8iNAnF8OEhgwAhgGjMQGvAiRA1iGFySWAxmyLFuWpbtIc5fZZ7iTvS/VtZ59+fKjqprdzW6SwyFnyOF5AIJVp8459VWx+L7fu6/thURZznYvxtJUplxz3/002Y1/uNHn3324w5UuWBZ0g4QozanaOoapcmHOQdGgPYgYRCm6omKo8O5KF8tQaXkGZ6ZclhsuQZbxnau7RFm+H984ySU2IUoy+r4PgFYknG55uIaG56jM1lxUHfpBzqmGvd8tYBino3oeOCRQ47yg46ekudz/jG1/pFAmbW4ehKehO/GTbk2VPDl8pkpFCPHzwP8E/JKUMjhwfFoIoY4fn2MUkL8+dmsNhBA/Ns76+ovAvxpf9tvAr44f/+qB4yWfgEmFt6EpXNkc0PZj+mFC3dWJ0xzHVNgdxDiGwu4wphMm46LJAZ0gGRUBFqNCyFPNUSEjYixwDwTps/G8lH6U0h+OBJMfgJ9IfnBzj5ZrYgiV99f79IcpN3YC3l3tMl01KIRkqx9iaypbg4S3VzrUbJ2mazJTG7WKmTDZ9YdZfmw7lN0gBaEyZcLXLs2wVLPZCxI29qJR/Uk75Ny0S8Mx7tjEgmNtZltXuTBb2W9uebRv2nEcnFHzJMdRjvKkW1MlTw6PM6X4t4DvABeFEKtCiF8D/g+gAvzekdThnwDeEUK8DfwL4C9JKSdB/r8M/EPgKiMLZhKH+ZvAN4UQV4Bvjp+XPCCTxoYwUiydICHLJQWSPT9loxfRcI1xEaCCbWrEWcHl7QG7fkSWQ5jkJEnO7T2f9iDhwqzHXMXmwmyFlmseCtLf2PXZ6EZMeTotT8UGigKWGyZ5Ab0gYco1aVVNzs641GyVVxYbmLpKe5BQsyxeP12nG8YY2qja3lBVXl2sowixH1OZ7PpbrnlsO5QLLZcfuzBD1da4uhNxbden7cdUHANXV3lutoKfpHyw0SfKcmxDxTNHmV6TAWATRXB0Lv1B985JCmOy498Lkqdq5/80WFMlTwaPzcEppfyVYw7/oxPO/ZfAvzzhtbeAl4853ga+8WnW+KxSFJLVbsAH6wO+dLpOmOa8v9rn/KyHY2jMVE0uuRUWqjZhljPtGUgpWaxavLfRQ1cErYrB5lrI1jDidifkhbkKuipGbfNdc79lC4x2ueenR5X7197rERU50x70IvCTjEvzdTpBjJ9mnGl6LDddikJhumrS8VMUBcIsI80LtgrqTGgAACAASURBVHopnWGCqauYqkI6tpTCNKc4kD58UjuUm7sB7631MTSV5brDXM2kapsEboomZlhs2lzdHrnHHEPjwqyxH0eYNJG8X++te/XoOlhhP7FuSkq+SJRRs2eQMM3xk4wXF0ZdfG/sDqk5Gv0w4VTd5oX5GqaqjHbTeyHdIGJnmHBxxmNnGPP8bIW6Y7CyFzDlGniWTs3WeXely8dbQ37x5TlOTbmHkgAm8Q5TF6TA5hBOeYJCwg9vd/jyuRbPtTyu7AZQQMXU8ZMMDVjtBuwFEVc2u7y8PIWnN8ikHBUj+imGNhqq9SAMkoRemCGAXpgyjDI0VeWdtR7tQcxCw+bVxVF69NGd+YO6gA6edzQR4qA1o2llQ4uSLx7lr/oZxFQVWq5JwzFQhCBMclY6AWGSowixrwBu7/nUHJULcxUWmw66LkiygkwW9KOUMJWEWbFfIFh3dTrDmGEyKpBs+/F+XGPf7TOM8f3RD68zlHyw0WejFxHGMWvdkHdXumwPYyxD8NaNPS7vDOgMEsIo57vXO7x9q0PF1sgLMLRRB+KOn6IIgSLu75qZrlk8P+0yU9FZqDkUSN5d65HlBdNVa1TYeKR1zcSV9aAuoIPnfZpW9yUlTyOlpfIMEo7TfzMpOVW3eXWhzvNzo5G8WV7QCxKGcUo/SEAKLs5VaC5ZdIIYU1O4ujVk2rO5NF9hzrUYZqMU3qZn8sbpJkIR3NzxqbsaF2c9PE2lP+58rGsqhgaTEhBLFUgFPl7vY6oqry3WSIuCTpAyXbFZmrKZr5lEaU6Y5MzVbPwkI5MFyHGwfDyG+EHSVc/UPF5YrPH/fn+VP/eqS8U26G8OeXWxxrQ3quyfKJDJd3U/l9fR9vYH+TSt7h/k/l80nqXP+kWltFSeUXJgsxvyh5dHKbm6qrLRifnhSpf31ntc3wlGGV2NUVX6IEoxFYU3lhvYpooQkmGc0otTVjsBa71RW5QLcx5xKpEUfLjeoz1M2PIjvnetTZSNGjFKMUqsSoAkK1AVhSTLUbVRi3lH1Zitmbw4X0FKmHJMpqoWL56qsdh0eG99NO53MgxM05RDI4XvlVHVi1PW9nxyVDxHY65i82efm2a57hJnBaudO8PFDmatHa3MP2jB3CvddhLb+TSurkeVzvukV+5Dmbr8RaC0VJ5BdCEwFEFW5OS5ZMePGEYZs1ULFMl8zSJMc7q+iqWpfLjV4ztX28xUDHIJhqJwa8en4ZjMeiadIKEfxpye8lio2nSNlI83+2z2Y6q2gSLYnxJ5e9tnMCrSJwNaFZsdPyEvNCwNBlHGuxtdPMPgP3u+xXLT5cpmj/dXe1ycq9KqFMxXbV6cr9JyTVxD2x9dPGnpf37G23fhHdzxFoVkmKQ4ps75aZupigmw30W47cdMeeZ+65TdYcxqJ0ARAm88L2bC0UFmjzPd9lHd/9MO+fosKFOXn36ezF9WyWNlrRfwex9sUbc0lqc9dgej7rvnZirMVGx2/Yg9P+F00yXOC75/a4+NbkBR5HTDlK+emyLIVLYHI2UUJjm6KugEKS1v1ODxxbkqlqbw8VafJHN5fq5GxdJR7zQNRgXOzdjYPZ0bu0M+Wu8zV/PwY/jS6SZ1U6cfZxgqKIqkPQxYqE2z2LwzkCtIMlY6AUvjho+TepLjBGiY5mx2QhShMFM12R0k7AwitvoxZ6ddlpvuoUyvth9zqm7jGHdnaR0dwfw4hfSjuv/TILDLqvunn/Jf7xnENFQWGhYznsnlzR4/88IcryzWqegaH24PuLY9YKpiIhn1/Prmi3OsdUL6cUJnkLA1iLEUFaHk+HHGWjfkJ55rsdh0AbjdDhBCMohTKrbO7HjmiKIIikyiM3J/FUCUwOmmg6mPgu7nZl3q47kta72Ad9Z6iKLgo40hNVvjl14bNb2cWBIre6NhWWuEXJit7NeTwN0jfm1dRQrBu+s9PF3Fj1KyosBPM4IkY7Zq71s1k0LGo779gz7/g6MDJq1hjuua/KRQCuySz4IypvIM0rJN3lxuommCqm1gGgqFlFzeGfAfP9rk9JTDpbkK6+P4gqGOhORS3aVi66zt+TiGiqMro1TfrR6DMN0X4JYu+OFKBz/J8QydQZjvN3ZUdEgZub4KwDMEmq5SsXR03eAH19t0o4SPN/tc2RmgqYIwzwjjhI1OwNYgoucn3GwP2epFLDZt3jzd2G/TMsm6Oi5TS1EEi3WTOc/AMSEZu82StGCtGx7y4x+8/n7xk6e1oLGk5HFQblueQTphwr//cJNbbZ8/98opdgcp76z0sXSBaxt4tkrHT0izgl0/Yq0TMIwybic5f3qjzblpj9VuyMebQxY8nVt7Ee+ud/FsHSkFDU/nTGs0PVFTFBxdQxeC7X7EjXX/0FrWuwHVClQsE0sU3OrGxJe3eePMFK2qhaWpbIUDGo7JYt2kVTH4o2u7BFHGV841malYhxTH0bqQo3y4PuRPbndwNI3FRkyU5RSyYNYz92MzR62Mg7EaUx0N9NLHWWJhmqMLQcMxqI+bZz7J7qWSksdNqVSeQaIko+NH2JrAs1XmKxZVW2POsximGR+s97jVDvkz51t0/JQwLciKAl0bVbZXXY12P+anL7aouCrrg4gkz/j+zTZvnG5i6yovz9cYJik3doZcnKlytRdyY9tnacZEcKetVi/OWOkOsK2ANxZrnJuyWWw51D2Dcy0Xx9Do+AGnGhbn52qkBXSCiNcXGyzWnbsUwKQu5M3lxrEV9VM1nYalk2cFlxYquJbOIB6SSsl6Lzw5iD1+m26U8tHmAMcYWUWrnYDGuM3NxFIqKXmWKf8HPINs9yM+3gxoOho/vNHlshPg6SpzF21cU2e6YnO66VJxNLJcYqmCP7i8y1zd4KVTDbKs4HYn4sxUhdmKw1fPtVAUiSZUru8M2BsmLE05rHYiNjohVcfgZtvn3IzHj25s7SsUEzAoUIRCxVIJk4zpmsel2Rpb/Yi1bsgbS00uzdb43vU2G52Alb1gPLjLODZuMakLqRoa2/3oLovl7FSFX3xlnqiQXFqoMuNafP18i7qlk0p5rJUxGb9sqiM34RtL9f0Y0ULNppDyrrb4TyJlDUjJZ0EZU3kG2egHbHQHtFyVuqfR6YecnnaxdJWdfkzV1qlZOv/u/W3+6MouvSilF8a4uoaU0HItHEMhlwXvr/fGM9oNZusWu35CP0rYGSTM101+/PlpzjVcXl6o8VzLY7pm7Df8rVvQrDrkwE4vZqHp0ajorHZ8rm4P2RmMOiavdAM2+zENR2epaaPrKmud8NBwLBgJzTgvaHkm/SQ7tpI9inN2g5yOn3J7JySVkpmqhWGoJ1bLT+IrcV6w2Y/204snsZvNfnRoeNeTynFDxUpKHjWlUnkG2R1EDKOCtp+wvhfwlfMtXpmvAaAqcG1ryOYgIi1yPEOl6mg0HJONQcBmN0JTBXM1m2ubfX50s8MwTlGBfpix1HR543ST5SmHOJWo46aPXX80hXGx5eGNN/SDeFSXcnrK5scvzZDnGTd3fFIkl+YrmLrgh7c7XN3s07A1hnHKZiciTgsqhsaVrT6DMN3vuDwI0/1A+UmV7L045cbOgGtbAwxNYKrKAxUETuItRy2So2m6T3KBoa2rTHkGbT8ukwlKHhulUnkGWWq5TFdtNEXi2QYXZjxyAde2fXaHEQt1i7QomK1YzNYc6o6JY6r8yZUdNrs+13YG3NgdYhoa52Y96pZO1TFwdJW6bTBlm7RcE8dQuNkesutHTGTsjc0hg7E8CyR0g4zNXsrqXoDrWCw3bWQuubHrk6ZgaALL1ChyyZ4/am2/O4yI85zNbsxKN2BnEPGD2x2CNKPhGJiqcmIl+3zd5vXlBqfqFs2KQZwXD5Sxddw4Ybi7JfynrQh/nEpJUQRNxzg0PK2k5FFT/rKeQc40PV45VaNum9zeC+gGCbauMl83SXPIkcxWLKq2zvlpF0fXsA0FQ1e5tTtktT1E5hLbUqk5BnEmubUbEGcF37u+y1pvlF7b9hP8eORqWmzaowmR8WF31KVZj5mqTp4X2Iag7adIKXltuc6bZ+q8tFCn6RnM1Cy+fqHFhVkPW9doVkxeOFXlZttHCnhzuTEK6o8Hg51EkUkMTeHiqTot13qozsOP4ryTeNxtSg4OTyspeRx8okC9EMKVUvr3P7PkScaPc+Is5/mFKnv9AhT2pxEmeY4hdDJZsDOIiaZzkjTnvdUebT9moeEikJyfrlKzNJDgmgpTrkXbj3FNlSjPGHZGAeHTDYcC9gPbFfdOSb0NJHnGWjehahlc3xiyOUjIC1DUCEc3ODvtYmgagyTn3ZUery82+dq5KeY8G6UqaHnmfjC+KORooNg9BPrNts9/urLLqZrNN57PmK6OLI2JhXBSEPtBCwePO++TBMhNVdm3tk7i0wTcD85zudfnLSl5WB7IUhFCfF0I8QHw4fj5a0KIv/tYV1by2DANBcfSaTomP35pmrpl8NatXf7126u8c6vHd2/s8uFan6woePt2h6vtIdu9EE1V0JWCIJHsDAL8OEciyaUgygvCpGC3H7PeiVEVeHulw9YgYs9PRzNc4gxNUzGAmhgVQK51Y6IsZRBGtOo6X3uuwTdfmOFLy3UcU8HTVJaaFjoCSUEqR632UykfqlnjbMPibNMlShJ6SbZ//KCF8KhH/n4S6+NBLIlPY80cTDooCzVLHgcP+r/xbwPfAtoAUsq3GY0AvidCiN8QQmwLId47cKwphPg9IcSV8d+N8XEhhPg7QoirQoh3hBBvHrjmV8fnXxFC/OqB418SQrw7vubvjOfYl9wHR9eYrdrMeDY7/YhukPDhao//8NE2g2iUyRRlGVvdiLdXu+wNE87MVOkOEtZ7MY6p8fZKj4+3hlCAlHCm4fDm6Tp/9uI0z8951FydvJC0/YQpbxQsX+0E9IcpGdCXo9KPrV6MgUKYZ3z7SoffeXub99cGvLPW5w8/3uV2L+RHt3q8vdaj5ljM1+wTd/IPImwXay6//hPn+bWfvMCpur2vMA66rR51hfwncYk9yLmPoofX09AHrOTp5IG3eFLKlSOHHuR/2v8F/PyRY38N+H0p5QXg98fPAX4BuDD+8+vA34OREgL+OvA14KvAX58oovE5v37guqPvVXIMQZyz58foqqDuGGRFQT9KmK0avLRUQ1UEtqlzftblpYUal2YrVAwwdIWmZ2AL+IXXF/jKuQbLTYc9PybJCzZ7MSvtkPVOTNUy+LmX5nn1VB1bV/eFmGup+8WPCWCZgoqlUTcMZtxRp+KKo5DkGa8uVplydd44U+Nbr8zzxtk6hWS/fUyS5NzcHRJFGX6cYarKqG5knKl1HJo2ci9tDxJu7/jHKozJWpuOcd/7PQifZL77g5z7KObFlzPnSx4XD6pUVoQQXwekEMIQQvyPjF1h90JK+YfA3pHDfwH4zfHj3wT+8wPH/7Ec8V2gLoSYZ2Qh/Z6Uck9K2QF+D/j58WtVKeV3pJQS+McH7lVyDwZRyno3ZMeP8JOUfpwiETw3U6Fi6liayvOzFb60PMWUZxImGR9uDKg5JkIWbAUZeV7gqDoCuLETEKcZrYrBa8s1Ls1VqFg6szUbQ1dZ74XEeYFraghVHtqNTLsGv/TlJb50tkXTszjd8jg37XGq6tGLMq5sDhiG8PxMFUfVGCYJ2/2QjX7ASsfn9z/c5urOgHdWOvjxKDts9ZgaloP8aK3L//3tm7THCQowiild2Rzs38M1tf1alPVe+EjdRE9y2nFJyaflQZXKXwL+CnAKWAVeHz9/GGallBsA479nxsdPAQetodXxsXsdXz3meMl9GMQJm72Y9251eOvmHh+u9dnzU/rhaF77WidktR0xiDN2BqOZIjfbIX0/IsrAMuDy2oAgybjVDXlnpct3r7d56/oeu4MM40Dw96ib5XuXD+8xqrZDxTJYnHYxdY04HzWwPDfjMIxSZusWizWTq9tDfvtH63zv+h639kK+c2UXTRX8mfNTVByNrUFMOJ5AaRsKO4PjazGKQrLQtPjWy3O8sjSqzfHjjELK/VYsB3kcbqLPcxBVqdBKHjcPlP0lpdwF/uvHvJbj7HD5EMfvvrEQv87ITcby8vLDru8LQz/M8OOYQRRjGSbNmsGXzTp1z8Q2FGZqJlOuRjdIMFRBSoEqBFIWtIcRhoB6xWJ5ymGuanJj26coUgo0WhXtULzjaDbUtH3nn0gAvTjm5m5AP4zpD2NSBFkuyaVkumLR8ixubA15d3WPi3NVvnK6QTtI6QUpmqqgKpK6bfL18y2azqjuJExzpivmsYogTHP8sOC1pTrk8OFGjyKHM9Puobb5J63/UfB5xjNOGtRVtnApeVQ8aPbXbwoh6geeN4QQv/GQ77k1dl0x/nt7fHwVWDpw3iKwfp/ji8ccvwsp5d+XUn5ZSvnl6enph1z2F4emq1N3TExNsDWIubw2ICvg8saA33t7m/fXB6x2QxxNY70bk0QZZ1s22ljY1FyF+arDlGey0Uu4uetTtW0GUc7N9p0d+MFd8eTxIL0jsHSgYuq8v7ZHexBxbq5C0zPY8xP+7bub+FE2mhkvCiSCZkVHU1U2ezGWpuKZOosNh4qlM1MddSvO8oKmY+ynMB9dh62rGIrg33+wyb9+d53ff3+LpCj256N8FgL184xnnKTQyjG+JY+KB3V/vSql7E6ejGMbbzzke/42MMng+lXgXx04/hfHWWA/BvTG7rHfBX5urMgawM8Bvzt+bSCE+LFx1tdfPHCvEk52dfhxjh+naJrKS4t15msmnWGMaylcXPKoGgp5UYAi6ccJUhHomoJlGQzijPVeQiolihAstxx+6tIsi02bIM7IszvvNRFUPT/ho80+17eGzFXutE2xFFiomfhxTiEhijMuzFaI8oyPNnr0o1Gh5JRncn66QtXUqVo6F2c9hABVclc1+41dn41udCgl96DAVBSBn6S8u9plp+fz+uk6hi4eSzHgp3U1PQ5X1UkKrcwGK3lUPKhSUQ5kXE0ysu7rExBC/BbwHeCiEGJVCPFrwN8EvimEuAJ8c/wc4HeA68BV4B8A/x2AlHIP+N+APx3/+V/HxwD+MvAPx9dcA/7NA36eZ4KTdp+armAoKmGSI6UkLeC7N/a4vh2y3Y5oDxOSvGCqYnJxtsZmxx9bBzm2pvLl5QY1W2PXj6noOq8uVbm2ExAlOVOeQSFHlsmkkG8vjPn21V1UTVCv2Pvr6Bewujfk+dkKczUTVdGQUtLxU2arFnVHHykCBI6hMkhGWWsfrPb4rT+5xYeb/UOfy9ZVzk97+3NPDlonE4GZZQVhXjBdNTk7W+WVxTrnWne7vR7n9/9ZXf9JKLPBSh4VD+os/lvAt4UQ/2L8/L8C/sb9LpJS/soJL33jmHMlJwT/pZS/AdzlbpNSvgW8fL91PKuctPs807RZaFhs9yJSodKyNM62HC4tVPBMlc1hSBDnBEnGi/Me37u2yY9u92g4gKISZxIzF/zR5V08XeN2N6Tdj3nzTINumPDxRp8z0yPBvtoJmK4YfOOFGU7VHP7gSCjs7bWA56XOuWmPpSmL620fW9GZqhicaXl0ggRNgVzC7e0hqhAsNWxeWqgzXTcP3UtRBBV7VLHvx9mh2MEkfrAziFjvhPzS64ucajpUTP0TFU8+iu//s7q+pOTz4EED9f9YCPEW8DOM4qv/pZTyg8e6spJPzUlB5rdv93l/dY9TDZdqmtGarXDGMnh9qc7tTkDFtOj7KX/w4Q6epTHjaTRcBSUvEBr04oTTMxWubg/pxQmvnqoxWzFRVXh/bchiQ6PtxzQcgzgr2OknXJyvYhgqSXrYzVQxwFIU3lvpEmY53WFG1VL4ytkZmp5JzTII4pRTdRO1aXJzJ2KmYvGzL84x59ontho5SSAbmkLLs1io2+z2E2qWQeUxKZVPG+QvZ8qXPI3c8xcrhKhKKftjd9cm8E8OvNY84IYqeYq4tODx5vIUX7nQwFBVFpsut9sBfpxh6SoNV+P8tMfNts/bt/YoZEZeFOQFWEB3mHFls08vzLi63UdIhTQrCIucs1MOp+sOQV5QNTTOtlxsTd0X7tXaEetCU2h6Krpm0TQUekXOhfkGz897bPYiKobOWi/kRytdXlmq8tXzTU7VLDYHMR1bpx9nx05rnAjkoz29FCGwJkqo9PSUlDxy7rcN+ifAnwe+z+F03UlR9LnHtK6ST8m9UkTDuKATF9zeHhKmAkNRyHP47vVd0kySFaM59h0/ZqMfQZZg6hr9OKPfzZmv5URxhqOrbHdi3ltd4VsvzjMIE27t+NQdnUyClJLNbsTZlru/lnb3cJfiiqlRMU36cURcwDAraDg6t9sBddsgzHJu7PjsDmLW2yFhMorVbPUTzrTkfZsvnpRC6xgaF2aPTzsuKSl5eO6pVKSUf36cWfWTUsrbn9GaSh4BJwlTgJWOz/WdHt2+SpBLHENB11UW6w5Ykigt0ATsDmM6w4jZismcK1io6mz2EwwVwiznJ56bph8kbK5HZEWBEAIJmIbKnGOSZDlhmhOkGf3ByKLwjoyNVxWVKMs4O+0RRSlJDrd3BgQZ/NxL8zRtg+dnXX542yROc7pBhp+mvLE8Klxc7QTYunqiC+uoG0wRAlNTibOCmn38SOIJxynmyTFTVYjzoqzrKCk5wn2dyeMA+v/zGayl5BFyrxbqwzghSgqaDjRsg29f2eSjjQE5Oe1hzMebPXb7MR+s9ag6BnVLx88kDcfEMXSiVNIJC/woxdR1PHs0b2Xas3lpoYatqSOhmxWYmopjaPuCXRaH11O3NTb6GXuDmM1+yLmWRc0xqDsm0bgbsW3qVAyDUy2XlxerXJyrYRsaG92YOD0+FXji9oLDaceuqbHYtOkEyT2zqopCsjuMud0+nH31qJtNlpR80XjQKOB3hRBfkVL+6WNdTckjY9JCfdLD6iDru0N6CewMU1xHI0hyXB3evtlhrRejqgpzrs5Cw+a1pRq6EHxvZY8gjMmFYKFhEKWjTKoXFus4moapqRRS8OFWjyjJaVUt8lxyqmGhCLG/ozesw+6mj7YGND2PWU8jK0Zdi19eaPDKUpWFho2pKixWHb718jy5KFiuueQCdvoxTU9nyjGPDWafZKlNph8C93Wbtf2YKe+wi+zgPBLX1Er3WUnJER5Uqfw08JeEEDcBn3FMRUr56uNaWMmn417pqJudAIC9AZh6znzDo2Io1B2LIi+QyshFNF2xqLkWTUfD1lQ6/Qx02NiLSFEZJj10VUEIQZDkrPcjbE2jamu8v97l4kyFfpSw0gm4MF0BYKsXHl5LH5oeVE0V1/II05yGa/D+eo9BlFK3TYpCcmVnwEebfX7mhVnyvKDpmIRJgVYdNX086qo66fMXhRxNpRwer3APfn/LTfcu99bBjKzHlYp8EmUrlZKngQdVKr/wWFdR8siZCNbjhNBrzzX5D1cHtBxIc1CEpFVzGYYpgyQnyCTPz6qcbnkgBb0go59k9HJwgaIoMDXBmYZJ09VBSCxLoVUYhMlIKbQCi81+yHov4lTNpe3GbHZD3rl9OGGw5UDb9xlmFWSeMswK2sOYXpCR1ke5IcM45cbOgG4Q8/FGh6xQuDQHl+br+0rjqGVyUjquH2fc3vOZcu8d4H9cfBrFcK84WUnJk8L9UootRh2KnwPeBf6RlDK71zUlTw4nCSFNjFrWt2MgS2hWDN66sUvFtqlZKlk4ihNYmspCw6EfBuTp6Nokh7pn0XRN/KRA1TR0LefKxpCbuyGeNapqf27GZXMQMowypqs6PT+lYut0BumhNX7jQpXtWGerF/C1czMM4pTT0y5CjfYtjX4ElqEx45mYmkJF1Tnb8mh55ondkO9FnErWuyEtzzoxwP+4BPinuW9ZDFnyNHC/X/VvAinwnxhZKy8C//3jXlTJo+EkIbS+6zMoYBCPfgDXt4bM1Ryen9N48/QUl7eGzNQtaqbJh+sddvs+/WQ0U77mwkLVoFVx2PAjrm71qZgWL8xXOd1yWesGfLQ5wNZUrreH+NGo9mW2anOrHfFcU+Vy786+5GY3p+ZqoOr4aYyiGCzWHaY9m2GSEaY5nqkz5Rn86faAVsVEVUDXTnZLwckWgWtqnJ9xWe8edsM96Hf3afk09y2LIUueBu73C31RSvkKgBDiHwF/8viXVPKoOEkImWN5tmiA7QjOTrk0qhYzdYe9Ycp7GwMqto5nGrRcmz94f4UMQEDbh1vdhKRQCJKCIpEoQiVNJXku0YXG7jDi+RkPSxdkuUJWSPpJyrmWg2HZwAAAFagYKtfbIY6uUkjJ+RmNglF7/rVeyPkpj5pj8KUzTSqmwStLVRxdZ8o1712Lc49A/UzFomLp9xTsJ31390ozftSxjjKGUvI0cj+n8r6vonR7fXGYnXGpGqAbIDSTmufw/rrP27d7NDyduYpBnmb4ScZyy8Ybu4gGclTxurY7xLE0Xj5V48++MIOK4HbXJ84klxY8zrQ8/LRAVzV+8uIsXzrTxFBUoqzgTMPZX0dFgaqtc3bK5o0zdV5brtGqGHi6hqrArd0h3WiU+tsPMs5Ou3i6vn99mObcbgfHTnm8l0VwMN70STsAH9fk8ZM0fnxc55aUPCncz1J5TQgxaQUrAHv8fJL9VX2sqyt5aO61y729GdJPoEhgVs9Y8DTezSU7vZC9YcxGP8aPMvoJbHYiXpiv8aONHbIcMuD8TAXHgPPzVV6Y9RhEOQsNG0WqVCyDN5dshklKkGR4ps60a+EZOmGWU5/yMNgiAVIJiSh4aXGKqapBmBRsdCLaQYIEXlio0XRNsrxgZS+gFyXMVWziTPLG6TqLdYcpz6Dtx4eaRsL9XUV+nHFte8j5GW+/CeWDcJyy+iQurcd1bknJk8L9KurLX/NTyr0CwrVxVfsQWFBVpqYcZms+wySjM4jIsoKFWZfFpkkYFywvNJm72mMQJpimQjuIYKUp5wAAIABJREFUSDc1kqyNiuDy5oCGa3BxrkbHT9EqCmvtkA83exQIfvHleaqOQacXcWtryKRRiy/h3ZUBdbeCa2mYmmC+YSEUyYXpCi/Mj2pBNroja2TaMzg366IrCn6SEecFLc98+HqRh/AofZZNIssYSsnTyGefU1nymXCvXW7Hv+NOybKMte2AGztDTFXBc3TSXJLlBXXLpO4ZLDVsTjUtFpsWWVbw+nKVL51yeW2pytkZh1eXapxtOtxuD8mKnKqhoaqCH6502OqGDJMUVYJEcmWjd2gtniEYhBGdfoSCIEwK3rrRJSkKXFMjTHOyvAAB56Y9pBS0PItpz8JUlbvmgNxvsFVRSHpBwjBOOTvlPhKh/bS4qYpCMghTBmFazqgveWyU26AvKPfa5faj4M4TUfD9lTZ+kiMo6AwS/DgnjnP+zbur2JbB6brFB5sDikwSZ/DDWz6Z9Pm1VhVL1UhzydYg5j9e3uFs0yFMchQh+erpJmGWs9NP0FWVm22fc02HP1qJ9t8+zeGPrrb5+nnJl5+b4lRDkGajFvU7g4i1bkjFUqnbBq2qRcMZBehP6hZwv5RdP85469YeO/2In740S00x7jrnk/K0uKnCNOfa9hAEXJitlFZQyWOh/FV9QfgkmULXdu4olTCRDEmxdUE/yrB1hXMtG9dS+Gg3oZXDapbS9yURUFXgfF2lUxgM44QgyUhyyXo3IMlyLFPh3763jqKofPl0g/fXe+iqYMYxYb5KEM/gvr2HP35/ixwQ3N72+Y8ftmlVDH764gxBkvH+eg8hBKenGvz0pdn99iq7Ucxcxdqf7niwANJUlfsKeENVmK5aWA+oBO733X4SN9XnmdFl6yrnZ7z9xyUlj4PS/fUF4ZO4YExxJ5FPFTBTs0kzSRDnxLLgZjsACT/1/AxfuzCFrirE4/N1Hc6falA1VXYHCWu9kKWmzemmi6IINEVwfsZjtmay1LRYaDikuWSY5cRZgSZUlPGvzmL03i/NVfjqcy0sfey6QnJzN2C9F6Ig0BQFU1PYGUbcag/5/o0OnTA59Jknj+O8uOdYXNfUeH2pwVfPTFGxDgfoT3KdPUr31ufpKptMxqzYepmiXPLY+MyVihDiohDiRwf+9IUQ/4MQ4n8RQqwdOP6LB675n4UQV4UQHwshvnXg+M+Pj10VQvy1z/qzPEkcdcFkWcF2fxR0P8rGgdHuioCtQUA/hGGScX2zx+Yg5PLWENfWaXkWr55rUhlvbNMMVtoB/TgjKyTfvrLLze0hQZHjqCoV2+CFuRpxLLm1FxLGGdMVg6ZjsNhw6AQxg/GSCmBjmFFxTG7u+ryz2mdrECGkZLZm8o2Ls3z5TJMkyfnXb6/wz/7kNjd2fObqFoNopBgnn/lBXVD3EqwnCfxH6d56WlxlJSUPy2euVKSUH0spX5dSvg58CQi401r/b09ek1L+DoAQ4kXgl4GXgJ8H/q4QQhVCqMD/yZ1K/18Zn/tMcjRgvRck/OB2h70gufvcA3rm9gC2e5IQcDQw1QIK2Atirm72uLbtIwtB3YbFCngGrPUiPEOl7mjUbYMf3NrjRzf2kEj++Mo2uqrwtXNNbmz38dMCS1cZRClb/ZCiuPPmCbDSiymKBMdQeG7KYhAkrHRC3l/tY2gqFUvn5p7Pd6/sstkPqNgaUkpmKuZ+GrGiiLs+/8NwksB/FPd+HPcqKXkS+bxjKt8Arkkpb41mgR3LXwD+qZQyBm4IIa4CXx2/dlVKeR1ACPFPx+d+8JjX/FTQdAzeXG6MZqEcmeOeHDFe8rE37EYPkBGDGJquiaHAta0+tuJhGAauJql6Fp6uUHN00kyyPG1xY1dFQXJ9Z4BEoR+nLDddVE1jxhm5mL5zbZfLWwNUGR96bynh5nZIs+by2pkqtp3Qqho4CVjjAsVcSr5+YYa5hsWZlstGL8YxHr1gvlcTzpKSkgfj846p/DLwWwee/1UhxDtCiN8QQjTGx04BKwfOWR0fO+n4XQghfl0I8ZYQ4q2dnZ1Ht/onmMmOOM6LfZfOJGbgx0fOPfC4P5Qs1XXOTpmYus5KJ6I9CFEVwc3dlDgr6IQ5P7i5x2Yv5sr6gI82hwzjlKajc7ZlEyQFcV5wpulhGjpFIcnIsXSFt250Dr131YDTLYcXFyo4hsFMxaLpWpyf9nCNUf3JhVaFxSmXQZBTSFio25/afXSSe/BpSQ8uKXlS+dyUihDCAH4J+OfjQ38POA+8DmwAf2ty6jGXy3scv/uglH9fSvllKeWXp6enP9W6nxYmwhHuxB32pxYeOXe+Cqc9OF2B0y2dvMh4byukGyRYhsJ6L+bKboxfwNV1n6ajoQhwTIWKpVG1DcIoox3lLDVddFWw0QvQFcF6d9SpeBCkXN8Z4ojDwnrKNai7JraucLbl8rMvzuGZOuudkDDNURTBIM34eKPPYtPBMTQ6QUKcHz/x8UEoCslqN+Ctm3e7B8uYR0nJp+PzdH/9AvADKeUWwORvACHEPwD+v/HTVWDpwHWLwPr48UnHn0kOpqvqQmBqCqaqYBgjATkRmAqjIPmEQQqZAjOuwatLDb57s4MuBX0/4qcuzfDx7S2K8TV+Bte2uyiKTZoVXJir0g5SKoaks+oji4If3tjDMVU6YUo/TInPNJitOrwwL7mchsAdU2m6YuGaOtMViySXqKoCcqQUCznaIzQtnbPTHuenRn3D6rb+0LNQsqxgtRvQC1JeXKjspylP+KTpwceNLC4peZb5PN1fv8IB15cQYv7Aa/8F8N748W8DvyyEMIUQZ4ELjLol/ylwQQhxdmz1/PL43GeWg66bbpTywfqAtV5Az08YhKPeoK6pHVIoAtgOYdOHbpQyTFIWGy5nZiy2/Zzv32iz2b+jBGKg40Muc7phQjuIWO2EfPvaHnFW8PFmjzPTLooKQkLFMqjZOnM1CxSBotyxAF5qwetnW8zWbS7NVrF1la1eRJQdtmZWeyF/fGWXa7s+N3Z9NrrRQ1sqe0HCBxt9ao7OctN9qOmNd9yIGdd2hlzbHpbuspKSMZ+LpSKEcIBvAv/tgcP/uxDidUYurJuT16SU7wsh/hmjAHwG/BUpZT6+z18FfpdRF/XfkFK+/5l9iCeQg64bU1V4caHC7jBmsxdhG9qxVdSCO35EGUtWOjHr/ZgP1jMGAcw2VBqmcuj8harKubkKt7oRf/D+JtfbIV0/pubozNfqPDfncV5W6EUJt3ZDpBBEWcFiw+Ha6p17GbrFbNXlBytdDEVDCPjK2SaFlBQHPJnTVZOXF6s0KzpN587M+4eh6Rh8abmBpat3FSI+SGFiUUh2hzHtYcJiw+b8dFlMWFJykM9FqUgpA2DqyLH/5h7n/w3gbxxz/HeA33nkC3xKOei6URTBYt3B0lVMRUFRR0LzaGFfwcj6qOjQiaAaxugiZxiPWt3bQY59QF42LRCKyiBO6QUpSZgwDEcV+UmS8vxsFUfT+ONre7QqOm8uN1jwbDxT51Td5geXN9AAR4EfP9+k4eoESUrVUanaFrapsdkb9QFTxhmBlqYx49lc2RpyfhpON72HdjVpmoJn6ax2AhqOQSdI9lu63K/Fy0Sh7AxipscpzaXLq6TkMJ93SnHJp+Sk3XWS5FzdHZJnknOzo9307XbAlHd8r6vJlN+VvQwUmKuAGsGLMzauofH+zoACaEeQFQnxuOFjmuQEMfzsi3WGscCPE3phSphlRInCRi+k4Rj044yFms1r56ZZ+niHIMwoFJ28gCAeTXh8c9lFAmen3H2FUhQS19SYqxn87nsdtvsxFctgpmrd9zs46fsqCslCbZRBdrDD8f2C9GGa0/ZHCmUyyvizaLtSDusqeZr4vFOKSz4lJ6XArvUC/uDDLVSVfXeYocLHm7277nFQTNVtqFuCi7NV/sy5BktTFQxTHDpnmMBaJ8OPMs40LWYbFjOuyULTJisE237E6abDctPh9p5PP0qYcU38JENTBVIW2IbCdj9AVwWX5mucm/ZAwDurPdJCoiiCa9tDBmFKmOY4pkajovPqYg1TUw5ZXJ8kDXgyR6UoJHFeHBLU9+t4bOsqy013X6F80vd+WMo055KniVKpPOWYqkLDMe7KhvJMjbmaiWuNdt1xXrDZj1jvRnfdYyKePTFq2xJKSScuuLYTszXMeHdlyEFxZgCDDDphRi4FqlD4eDfkvdUe3SDh+9c67PkJiipACm61Azb6IT+41eXy+oD2oCCTBRv9mL0wRtcUdgcJlq7y5nLjTkaWgCDNuLI5wDE0vvnCPKenPDb70SEB+0nTgAsJ7SDmdvvegvqoMD9uYuRnkYJcpjmXPE2U7q8nkCwr2AsSmo5x3+ykOC+ObQOfS8hyWO1EtLyRq+flhTrnZyon3msoQQshk7DTC3jjzAyvna7zw+uHK1s8HYoUkggatkI3VrBUie7qPLfgMu+63Gz7bHY13liqc7sb0h2n8FpGzulpm4YJs1WT9V2f768M0DWVrwnBTNUEwFUEF2Yr41kqMZqi0HBHhZSaqhwSsMelAZ/kMnJNjVMNi5W9gKXm4V5pR7/zg8J8cr+ikKz3wv24y2cxSKsc1lXyNFH+Up9AJn273lxuHIodHMdJu9imbfCVc02qlk6WF/iFpGLr950fEuaj/l4znslmP+ZinKMf0WuygJxRIP/b17rkmgrSZMcPGMY5P3lJIUegTYZ+7QZUHZ3FuoOUBa8uNri9NyDNBS8vNzg3V8cxtf04CtwRpEUh9zOsirFb7EEE7ElB96KQ+EkGUuAYo+N+nDGMUn640j30nR9cw8GMr6fVaihjMyWfBaX76wlk0rfraGHecRyMAxyMAYwsmJRukPD+WpcrWw9WSxEDFVvBNjVud4Zs9UO8I3ptmMOUDTowjCBNcvwwphdk5EWBQDJbMXhhvsZy3eVLZxrk+aiKPc8K0jwjiAtUbZTZNVuxabrmIRfewc8SJBlXtgf7hYYPwknKdi9I+GhzQMPV8JOMQZiy2gkOud6OxlImAfopzzjUxPJpo4zNlHwWlJbKE4imKfe1UA5ynGsmywu2eiH9QEHXNebr5rEpxQAu7A/NOm3DxbkqS1WDbiJ460ab9MglEVCEo+KgXMIgBM/MWahZJFnGbj/GVDXSQqJpCot1hyAZ8N5aH11IbmyP5p7kacF7G31emK2y0k2Zcg2c/M5Pcr0XUrd1rm4PKAqBn2THCvTjduAnWTR1S+fCjMvuMOaD9QFfOdfcVz618bWDMOXa9pDzMx4VW98P0H/aHf7nbSmUsZmSz4LSUvkCcFyfr2GUstIJma3avHqqPuqn1QuP3aXuK5QKtJoO17Z9NN0kChOCRBLcHdsnARYqo6r5FBiGULVUbMNksxdg6Ao9f5S5FecFeSE513Lws4StYcjeMMQxFD5a73B5a8CZKRtDU7iyNeS9tS6FlCw2RnU2tqFxqmnRCZJj1/9JduCplKzuRbx1c4+Fhk3LPaHe5MDTR9Wu/vO2FMq2+yWfBaWl8gXg4A50IjCiPKfnp2jaSJD44zqRe/XM6gewUC8I8wyIqXkms57KD5OIrSOZyAsVcE1wdJBdsDTYHkQs1FxUXeX61oCpio3IJSkSx1DY6IZstkOkLLA0jQ/Xe0zXXDp+TC/KOK0ozNdNru+MXU8quIbGxbkqpqrspwDf6/Mfx0ELwdZVXl+uc6blcKrmjBpWHmhhMxG8F2Yrj3xHX1oKJc8CpVJ5yjnJpdJ0TV5erFE1dW61h2wNImYrFnXr5DhNAazsRez58J1rHfoJtH2N3cHd57YH0B1CIKGiQMXWyaSgHyZcmq/xwlKDq5sDGo6BLKAXxRi6ypkZl7plEcURpm5yca7Cz7wwS8MzKaTEMUYxiyjLudUOOD/j7Ve7m6ryUO6jo0H7hmtSMXX2ggRTVbjR9kHChbnKY83oKrO4Sp4Fyl/4U86JWU6ZJEhzdgcx76z3MFSVjU7Ey6eqJ95LkfD8nMXl7Ygiy9jtSTwrRRzTuzEGkPD6rM6ZlstUxeLGboBA8LXzLc7NVRi2MnIhqZg6KJKlhsO3r4S0w5g51+RnX57HNQxQFLb6MTsi4fy0x4XZCkmW73cqnnzGo21V7vcdTDguNXiS7fX6Ur3s31VS8ggplcpTxlHL5CSXylo34I+ubKMoBa6h8MJchaQA4x51L50Crm5FxBLagWRQQByMAvLHoQCWabAXguvAYsOjFyUMkozv3+zw9fMtqvaoMHO2OqqVma4azHo2LU9nru5yfrpCLgtO1e19K2WSyWaPW/af1FZl8trB149d5wELwY8zVjsBc1VrP9vrYToVl5SUHE+pVJ4yju7KTxqBKwSEUcp3rmxRdxwWqg5rvYg3T9fvef/14ai5ZHfcC+zuCfd3aBmgC8nl7S45HklSIBSV6xt9lmerFFLur0lRBGGaM1WxePFUlbm6zaunasxXHbpRepdwn8Q1srzYz8TSNOUuBRCm+X7G24O4xA4q4dpDBqw/7yyukpInmXKL9pRxnGVyNKuoKCTdOKWXZOx0Y1baPmGWUbX1+94/AzQNmiZUgPo9PEKDBG62A6IYQj/ldjtgtT2gXjGpWhob3Xh/TZM1tlyLn7w4i6WqdMd9vY5OcjwktIWgkOAn2bHp0JPvw1SVQ7Ul9/yMecHO4O5RwvfiYO3K553FVVLyJFMqlaeEIEj5/s09oujuWo2jisaPM65vD8jzgteXq/z4pdZoSNbx05bvfq8QMgEDIL6H3AwBP4SGo/LTLzb5C28ustR0aFUMGo7FYvOOS2rSoyxKcm7uDmkPE75/s02QZvdUkq6psdi0T0wnnri24rw4UdAfVQgfbPT57rX2XaOE78XBNZVZXCUlJ1MqlaeED7cH/Naf3OLD7WNSsY4hSQq2+xFvrfRQUUAIelE2Gtd7H3xGLe5hpDiO45UpQUOBVgWSouDqTsp01eb8TJMok0x5Oi33TjffUXfgAd0gYRgXLE1ZLE15h+IoE46mSLc8c7/48CTuJeiPKoQX56v82PmpEzsWHK2oP25NZb1HScnxlErlKeFCy+XnX57nQsu96zU/HnXyPTwvXdLupazuBqx1Qjxd4+vnW8wc7bnykNxsSywXNFUlyiTLdQvTVPnWy7NULYO2f9ilFWY5W4OY3WH8/7d3r8Fxnedhx//P7p5z9r6LxeIOgqRAkBJNS7RMKbLlyHZs2UrixnGTdJKmaaaTqTOdeBL3Mm2SL0nbSacfmjTpTJvWSTRJ2iSuO44bT6I6kWV5fJUl6mKKFCWR4hXEfQHsfffs2fP2w+5CAAGSAAViSeL5zWCweM/Z3fdIw/Oc9/owna8w2hvj4X29JMLru+Suvmlv5iZ+vXOuDgipqM1AKnLNAfqr/3tutg5KKQ0qd4yab/B8Q60926lYbVCsNt5+mr5qBbgVEnygUm/y6tQis4Xatq6RKAKFInzgYIZH78kylI3y3TdzVF2PqBNiJL12NlY25vD+8Sy+MVxarHFpoUz9OmMandaC5/lrfm9mzORqNxUQNHYodVO6FlRE5IKIvCoir4jI8XZZRkSeFpEz7d897XIRkf8iImdF5ISIPLjqc36+ff4ZEfn5bl3PrdbZZDJph7i0WOb0VJ6TV/KU660xltU7+QLUqg3KPszWwHUNi3WXC/PlLY0jAESvc6wGzJeaLLs+5arHUqXBmZk8tUaTqL022VW96ZONO8ScIDEnQF/CIVeur+xZ1gkYndedqb+5cp0zM0Vy5fotGRzfqKurM/NMFyoqtXXdbql82Bhz1BhzrP33rwLPGGMmgGfafwP8MDDR/vk08PvQCkLAbwA/ADwM/EYnEN0NVt/wQqEAmajNucUyr17OE3WC+MbgG7MyZbezt5fn+VzJl1c+Z2qpxMkLS9S8JvHQ1gaXK9c5lgrAYqHG9GIZEcP+3ijVRpPaVTf+1d1JqZjNWCZGXzLMcDKyco2dgHH1PmZhKwgC4euMmWwUGK51fKMdiK8OVtrVpdTN63ZQudongT9pv/4T4MdXlf+paXkOSIvIEPBx4GljzKIxZgl4Gnhipyt9q6y+4RVKdf7vy5d58fwC4/0xRlatHi/XPYIGnFCAoIHJ5QoX50qrPsknFg5ydr7AuVxp4y+7CaPZANlkmP5kBAkEcCwhlQgTt6012RGBle6kTMRhX1+Mmtva0v7VySUKNXdl8WJn/KOzxXwibDExkCARtq55o7/RFN/Vx68+V2dyKbW9uhlUDPB3IvKiiHy6XTZgjJkGaP/ub5ePAJdXvXeyXXat8jVE5NMiclxEjs/Pz2/zZWyfjXKid254z53P8cffPsflpSp9cYdQIMDenigLpRqvXlni1HSeVy/nObdYJl9p4Jm3b7D5Gswt16i4Hs9fyG1bfaeWfXpiEd4/kaXR8NmTbW2xsjcbJVdyWSjV8X2zpntuueIyn6+RDIcwApOLVS7kKiutrZsZpL9RYFh9/OpztVWi1PbqZqfxo8aYKRHpB54Wkdevc+5G/+LNdcrXFhjzOeBzAMeOHdv6SO8O6TxFD6ciKyvlO62R/QNRjoz2EA/BbLGGEEACcHJymbLboOkbHhjpoWl8UlGL83ONlc/1GjBTLFNp+MyW6ttS1z4HxnodBnrCjGZaK9+TEYt7B5P0RGymClXmi/U1Sa0mlypIUBhMR8gkHPrjYT54b39re/urtl7Zyor1G23UePVxHStR6tbpWkvFGDPV/j0HfInWmMhsu1uL9u+59umTwJ5Vbx8Fpq5TfkfqPEUD67pzsrEI7zvQy0Amxny5TtQJ0DQ+e3uj5MsNKnWfwZ4w92QTjKajLK2KHSUfyvUmFc/F2YYn8giwp8fm4FCKbCxMOhJif1+U4XSYnohNvemzWHLJxu2VYNG5tsFYmHv6EqRti1AowEAqQipqrwke1+vOutH4iVKqu7oSVEQkJiKJzmvgY8BJ4MtAZwbXzwN/1X79ZeAft2eBPQLk291jfwt8TER62gP0H2uX3VE6N0pg5cn+6u6cgAhx2yIda3V92aEA/fEwg6kwliU4llCsN7BEqDd9VufV8oHzuTInJ/OU3a3Pnrq6U6k3CrmqR7HaJO7YPHcux9Mn5/jmmQXOzhdxG03qnk94g0yMk/kqX31thlMzeWbz1Q23StnsQkal1O2nW/0AA8CXRKRThz83xnxFRF4AviAivwBcAn6qff5TwI8AZ2lNSPonAMaYRRH598AL7fP+nTFmcecuY3tstEnkRl00YSvIWCZOwzdczlUo1RukYzaRUIDLi1W++cY8TAjGrG+NvLXY5IEhm8iN096vs/rTemxIhQOELIeZQhUrBPcOJpgpVjG+4blzC/zgRB8Ru7VvF6ztzhpIhXlgNM1i1WXqrQXeM9bDWCa2pqVyve4sHVhX6vbWlaBijDkHPLBBeQ74yAblBvila3zWk8CT213HndTZF+t6WRnLVZeTUwUG4hYNhKgd5PjFJcT4NH14cH8Pdc/nQq7EWGb9qvsYMJmrYgW39r88Y0PVbW00CTDeG+aRg/3MLpe5sOwyW6hxZq5CygmSSTjM5l1CAVmTOXF10OyJOvzQvQMU3Qb1RpOy21qT0hlDutEYiia6Uur2drtNKd41Vo8N1Jv+up16ATzPZyZfJV92ee7cAn/x/Hm+/sYMzaZPOCQ0fZ903KLsNpgr1CiUXb762gwXN0jVmI1A04eZ/NamFC+6rTGUjnpTKFU8hjNxHjvYxz39MbJxm6P7etiXjQFCE9bMqLJEcEIBLGnlSVmquiwVG8Qci7GeVgDULi2l7g76yNclq5/eOzddaRqmliuIgd6Yw5V8he+dyzGWiTJfKLOYr/PMqWkuLdZ533iG8/NFLudgudJkcqlMNBjkufMLTPTH131frgrBIAwmIkwWr7ekca0YkIjCYqX1+sE9cYzAzHKNfdkUnh9gvC8JCFYoyBP3DzKWXttSWq41eH2mSNQOYYzh5YtLHBpMsFRxSYQt7dJS6i6iQaVLVt9IF0p1Xp8pUko1+O75HHEryPsm+pgv1UmELfZmY5y4OIfrwWKhyuvBAuP9YZYrDWquy3LFJRQMcigbJm47GK+x7vtKQLQJhdrmpxQHgGxSaLoGAcIhyKYjCCFE4MBglNlCnXcNJZCA0BO2sa3gykaNnbGUdNhaybKYr7rYISHmBMnEwmt2/VVK3fm0+6tLVt9IraAw0R8jGGoNxh/Zk2YwHqY3ZpOMWsQdC4OPAYIhuDBfJF90GU5HEAMXFhpcytVYKDfY3xeB4MbJuCrAQnnzXUxpG3oiIfZlI6RDEIvAS+eXSEYtcuUG+UqDA30xEHhzpkyh3uCtudLKTLZOa6ze9Fe6w0rVBm/OlHlrtryy2FEpdffQoNJl1UaTiwsV5oou5ZrPD070cag/ScFtbdAYCgQIiHA5V6UOXMoZhtMxgsEm08tVHNsQtWAw0QpSA6kwR0aS1/y+xS2sfcwmQsSjYVJxi0QUDg+lqTUN1ZpL1AlRdj1ypQb5isfh4QTpqA0CvmmNFznBwLp1N3nXI1euEYuEtLtLqbuQ9jl0SadryAkGGO+P4xsDhpVc7pOLFYaSYYLBABErSNpuxf8mcHa6RL1WY6HqMZZycA1cXDIYqeLYYQrXSNcYAJJBWN5EYyUC3DuQoOoZ5go1wnYY33g8MNbL+FCSXNGl0jCE7QDj2TipWGuu8sRAEK/pc2amyHh/nETEwvfNSlffgUycTz24h/v6E9pKUeoupC2VLqk2mlyYLzO5XCFiBUmELWpek9PTeS4ulig3WtNs8+087ou11jhJldYK+cWyR7UGr03XMR5YAlagiRXyKbkbb2/vA73xa6z/oDUQ32nj9CfBx8cJBmn6QgCfqO3gNZu8OVUi7FgcHkoyuVjB9f21+3aJrMvv0un+ago0mz5nckWuLJa3lCdeKXX706DSJRErSCwc5LXpAosVl3Ld4+xciYVijRNX8pSq3sp27wAnp5bWvH+21gqezIsWAAAWKklEQVQuVaBOa6zF9YQXzi9xeW7jJMBZBx4YTWx4rEZr07SoDWmrlXv+7FydJj4PjKVJhEPEI0FCEiAVs7BDARwrQF88TNOYTecj8Y3h8nKVp07M8LXX57ac30UpdXvT7q8uCQSE0XSUqB0iE7VbXWGhIOMDcUYbPrWGIRQIEHNC+L7hzHU2V/aAUgMGxUPEwglsvC9WvQGvz62fTpwGhrOwUIS5equRMRSDoZSN1zSM9MY5u1ClWPEZTFscGe1hoejy1nyZ+4ZS5KsNUhF7JYjcaDZXX9xm/N0D9MXD18wTr5S6M2lQ6aJAQBDf8OLFHP0ph5F0mOlCDd8Y+hI2XtOnWG0Qc0LcaHy9CbyxBHvTgmww/h0D4mFwgusDTg1YrAYwxmc4Bo4FCcem0Wyyvz/NvcMJlioNHtqfYbw/QdQOkY07BETojTo0jNnSoHswGKA37hC6zg4CSqk7kwaVLvA8n+l8hSvLVc7MlvjmmTmO7snwyaPDpCIh3IbP2bkikVCQeMReyUWyGeWKy/GLS+vKe8NQNXBktJeXZ6bXHHMAv+nz3r1pHjncx9R8hdlClfGBFI8fGSLmWFxedBlKR/CahvPzZULBABMDCWw7yFbaGgERAiK8OVOiVPN434Es/cnwFj5BKXU706DSBYsVl6dOTHNicpl7eiP8/aMjjGajzJdqnLxSwGv65KsNHh3P0pewKdQ2P+7gCyyX1i9+rHpgRYW92ci6Y31JCFo2IStAwnH48OE0M4U6mZjNcKq1Ov6RezJMLlWZydfY1xulJxaiUHVxgoGVxY6bEXNCHBlO4fk+rudr95dSdxkNKl2QidrcP5rk+5dyXMqVeehAP0ulJm/OLlN2m8wslWggnJ23mVyq4vqbX7AYEojb62/y8x5ESoYTl/NryrMRCAUD9MRtDgymqNU9Zoo1HhztIdwez7mYq7C/L0Ym5pCJVXh9usBC2cVt+FtuaXSmUmeiNqGYdn8pdbfRoNIFrSd7oVT3eOieXsAnHbGpNZrMLJeZKzZ413CSpvE5M5unUFvf8riWpRpEI+vHN7JAIwh7ehyGgjDdjlOlKrxnNMlH3j1IT9ThrdkylxdrjKZjRF2fiBPAa7byyYetIOmoxSP7ewk7QdyGjxMK4Ptm02tOFisuL11a4oGRFMFgoBVcttDSUUrd3jSodIHvG5KxEAcH04QwXFmqYZLw2lSeoPgMpuzWtN1AkFK9STa2+ZZAA5jPrx/WrwAPjvWQTkRZvRly2IL7R1PkK02mFgv8wHgvng8YgwRaGSNTkSAvXlzCDgjlRpP3jPUwFHVWtmEJBQOb3rsrE7V5cKwHz/d56dISD4716JiKUncRfUTsgmqjSbHiM94fJRK1eGM6T6HukgpbzBVdXrlc4MxMiel8jZcu5ohHNh/7o8D+bHRd+UcPxnl0IsPBoRT3D79dnokFSSZs9mSifPRdg4z1xlgo1QmI0PB8EuEQnu/z2pVlsgmb+0dTLBTrlOveTe0u3JlunI06K5tMKqXuHtpS6QJLhIbX5OVLi1xZrBB2bJJ2ENdv0mj4+L7H6SvLOIEmR8cy9KU2f+ON2DC5tHbxY68F796f5auvLXB5vsJiMwD49NtwcDDFcqHBSDJAfzKCFRCiVoiG8clEbBZLLk4IYmGLnqhNxLHIV5r45u1sjlvZbmX1lv/aQlHq7qNBpQuWaw2+ceoyT5+cpeHCYDpAfjnPYq1JvW4gCMU69Mctsqkgxt98gzLnQk/ZW1MWD0Ol1uTScpGA+JyfafV/zbmQK9eoejEG0mGmlqsMpsIMpMKMpCPYoQAz+TqxcGtdShNYqriMZiIERNakQN4szZ2i1N1tx7u/RGSPiDwrIqdF5JSI/Eq7/DdF5IqIvNL++ZFV7/k1ETkrIm+IyMdXlT/RLjsrIr+609dyM3zfYJo+F4sNll2wbViq+FxY9riYN9Q86I0IcQfcRoOQHWRPZn131rWkbBjsiXBw1UbFh/dmeO+hXn70/lGeeGCQx+9PIMCxEYvx/iTz5QZV1yeAELNCHBpM0pcIEwoEiNhBMjGHd4+mGYyF6Y05ZKKt1fM3ExxW7wOmlLr7dKOl4gH/0hjzkogkgBdF5On2sf9sjPlPq08WkcPATwPvAoaBr4rIwfbh/wo8DkwCL4jIl40xr+3IVdykaqPJd9/KMbdUIGlBwIeldsOiCeQ8aBZaK+r7MnGSts2lXHnTnx+3YXwwSbFcBZoMhGEm53LmSpWBZJh7B9LErBAvXD7LBw4M8th9IwSDwkRvAhNcmye+s4dXqdbg0mKFqB2k7rVyo8RCra3rO7lTNFAopaALQcUYMw1Mt18XReQ0MHKdt3wS+Lwxpg6cF5GzwMPtY2eNMecAROTz7XNvu6DSWZthiVCsNYiHhbmyR/4aM4WXXTB5l+WyS1/c443pwqa/KxgMMpqKMJOKcqVc5HCfzfhImkqlzlzFxw4W2ZeN8N59vdy7J4NjhdiXjRHdoAur06pwgoHWzLGwtWZLlmqjyZm5IvWGz5GRFInIxsnBlFK7R1dnf4nIPuA9wPfaRZ8RkRMi8qSI9LTLRoDLq9422S67VvlG3/NpETkuIsfn56+zM+NN8P1WQirfN3iez1yhtm47987g9JV8he+9lWO50iBXuv7n5j3IV+ocv5BjcnHzLZVwKMBwJsrj9+9hOBXhYsEnGgpyYCiNbzzsEIykwhwYSFCpe9Q9j8mlEkvlOr5vNryeWt1jrlijWG2saclErCAj6QiOpZMIlVItXbsbiEgc+CLwWWNMAfh9YBw4Sqsl89udUzd4u7lO+fpCYz5njDlmjDnW19f3juu+WidgVBtN5os1nn19lvlibc05QQNN3xC1WuMTy9XaDTeIBHhlssb3L5e5srR+Z+FrsS0bKxBgNl+j0WjSH48iIvTELESE4+cWefHCEt94c4FTl/N850yOLzw/yddOz1Js526ZXKpQrntMLlc4fmGJV6by/OWLkzx3cZFq4+3V/YGA0JcIc2gwqTnmlVJAl2Z/iYhFK6D8mTHmLwGMMbOrjv8B8NftPyeBPavePgpMtV9fq3zHrJ7NtIzBbTTb2eTfNlOq8d23cnzoUJaeaIhnX5++xqet1dnx68TU5oKKACknQNMYLi1VyCbCPP7uQcYySRJRi8FUmMSATQOfXKHO6OEs9+/JcHamQKXhUfWa9EcsRnuirRaL20oTnI3YpKMWQ/HwuoH5G21zr5TaXXb8biAiAvwRcNoY8zuryofa4y0AnwJOtl9/GfhzEfkdWgP1E8DztO6hEyKyH7hCazD/H+7MVbxt9U017lgcGEwSd9aOLQwnI3zkvn6cgPCtM/O8fHHjJFrXYtOa3XDdegBjMTg0lGBPNsY9/XFyRZegBLhvKEkoKBzoTzKQCuMEDecOVnnvWA+uLxzd20soIGQi9sr1+L5hX298pbvrSEwXKSqlbqwbj5iPAj8HvCoir7TLfh34GRE5SqsL6wLwiwDGmFMi8gVaA/Ae8EvGmCaAiHwG+FsgCDxpjDm1kxdytUTY4v7RNBEruDI4H7GC2HaQfdk4r1zI8Z2zC1S2mEH3Ru2UwQjUPXhoPMtPPLSX8UySxj2GqusTdSzCVpCACKGAcPpKgZgd5NxCmellF9sKUnV9Ek6IRsqsbGOvLRCl1M3oxuyvb7HxeMhT13nPbwG/tUH5U9d7305ZHUA6N+J82eXU1DL7++L0Rh2Waw2qjQblLWwOuVl9sQCJeJzBdIR0xKHgejQ9w76+OPF2d1XECjKSiVKqNfCDPraAbQmpqN3qFnMsXZColHrH9FH0HfJ9w3yxxpXlKhP9iZVptVWvybn5EudzZR4c7eG12QKvTS5w/EL+Bp+4NQng4/fvoScZJh2JUGl4LC1XWSrX+fYbczwyniUgQrHa4NXLy8yXXKI2jPenGOuNMZiKbXmrFaWUuhadC/oOVRtNrixXqTaalF0Pz2ulAHZCAYaSEV44l+PCUol6w+P4WzlqG6eP37LhEGRsODwSJRFz6E/GODgQZyZfp1Rr0PCbDKejHB5NEXNCzOSrvHB+gYbnEbFCpOMhwlZIFy0qpbaVtlTeoYgVZKI/QcX1WKy4CHBuvowVFKqey4VcmWdOTpKMhjnQa3N6zmXzeRxbegOQWzUOszcMP/XYfirVBn2pCP3JKFE7RNQJERCXQ0NJfGOIWDaDyQiBgFD3m5QqHiblc2goRaneXDehQCml3ikNKu9QICAkIhYxJ0Q8bOE1fRwrQDpq8dQrS5yeKnFupsTEYJyYbbYUUIJArwN2CFi1/lGcIAEjjPWmOHZPhr54mIAIvjHEnBDJcGu4vSfaoO75+L5hTybGxx4YYaw3wqG+JE1Bx1CUUttOg8o26cyWct0mqUiI+UKJb758hbqBehNOXinRF2sFis0mB/6pIwmG+3qYL3ukQlWe/M4S4yn45Pv38/H7h7EDIXpjzkrmRN83TAwkVoLFaCZCrlwnEbboiTq8bzxLrlynKejMLqXULaF3lm3guk3OL7b2wAoHA3zx5SmOX5jnzKpmSR2Y3PxuKwAUGsLHxrK4DZ+y6zIxWOfHHhzh4fE+MtHIynqSTsIsz/OZL9YYTkYIhQKthZnp6MpAfDbuEHNC2kJRSt0yGlTeIc/z+c75Of7H18+yXKwTcyBfazKVu9FyxRubXS7z1KtXeHhvlv19MY7uy/Lw/gwJx8KS1uB6ue7x1lyJ8f44c4Uqf31iik/cP8xgOspUvspoT3RlIP7qtSerp0LrYL1SajtoULkJnuezWHHJRG3OzRX43a+c4pXpzezmtTWzhSbRWB2z15CvurwxneflSzY+Fh852E8mGcY3ZmXVj2MH6YnZOHZwU8mwVmdh1O4wpdR20CnFN2Gx4vLSpSUWKy7/58W3bklACQERBx65J8P7J/r4zhvzPHcxz1+9eIUzs0VylTqTSxUCIkwMJIg5IQYTEZ44MsxgIrKpZFiahVEptd308fQmJO0QY5koSTvEH3x7Zts//1OHouS9EA/u7+HHHtzDSDpG020FrrTjs783RtgJMpyKrAkcgYBsKe+7bsWilNpueke5CQXX49JihZ5tTkqVEDgyGOKRI/uI2zZHx9IMpVpjIsm4gwVkYhHeP9FH0zcEAqJjIUqp24oGlZuwXCnzv79xkl++tNVljBv7xL0pPvTAEK9fKhJzLI7u6WE4FVvTCvnZRyeIx2J89N397E0nqDd97bZSSt12NKhs0UK+wmf+53HefAezuyLASLo1XvLYkTE+sK8f2w5ycaTEVL7GYDK6LjXvYE+cX/zwwZW/O2tTlFLqdqJBZYv+4vkL7yigjMXgZz+wh2ffKPKD947x0XuHV1oj+7MJBlM6cK6UunPp4+4W+L7ht585f9PvP2jBn/+zx7h3pJ+wFSAaWTs7azMztpRS6namLZVNmlsu82ffPnvT7/83PzzOTz6wl750hEw0TPwjNvf1J7axhkop1X0aVDbpb16d5g++Obml9+yNwIeO9vMTD+3Hc4OE29N3o1GL9+7L3IpqKqVUV93xQUVEngB+j9ZejX9ojPmPt+J7PnS4j5cvzPHlU0s3PPfvTTj8zGNHuG+4h1SktWNwZzsUpZS6m4kx25Q1qgtEJAi8CTwOTAIvAD9jjHntWu85duyYOX78+Ja/y/cN+bLLidkFvvLSJKmYw4fuGyRuWXzvwjxhK8TD+7Ps703qzCyl1F1HRF40xhy70Xl3ekvlYeCsMeYcgIh8HvgkcM2gcrMCAaEn4fDBxAgfPDCy5tiRPb3b/XVKKXVHutMfqUeAy6v+nmyXrSEinxaR4yJyfH5+fscqp5RSu82dHlQ2mnu7rj/PGPM5Y8wxY8yxvr6+HaiWUkrtTnd6UJkE9qz6exSY6lJdlFJq17vTg8oLwISI7BcRG/hp4MtdrpNSSu1ad/RAvTHGE5HPAH9La0rxk8aYU12ullJK7Vp3dFABMMY8BTzV7XoopZS687u/lFJK3Ubu6MWPN0NE5oGLQBZY6HJ1umk3X79e++60m68d3vn17zXG3HD67K4LKh0icnwzq0PvVrv5+vXa9dp3o526fu3+UkoptW00qCillNo2uzmofK7bFeiy3Xz9eu27026+dtih69+1YypKKaW2325uqSillNpmGlSUUkptm10ZVETkCRF5Q0TOisivdrs+O0lEnhSRORE52e267DQR2SMiz4rIaRE5JSK/0u067RQRCYvI8yLy/fa1/9tu12mniUhQRF4Wkb/udl12kohcEJFXReQVEdl6hsKtft9uG1O5mWyRdxMReQwoAX9qjDnS7frsJBEZAoaMMS+JSAJ4Efjx3fD/XkQEiBljSiJiAd8CfsUY81yXq7ZjRORfAMeApDHmE92uz04RkQvAMWPMjiz83I0tlZVskcYYF+hki9wVjDHfABa7XY9uMMZMG2Near8uAqfZIKnb3ci0lNp/Wu2fXfNEKSKjwI8Cf9jtutztdmNQ2VS2SHV3E5F9wHuA73W3Jjun3f3zCjAHPG2M2TXXDvwu8K8Bv9sV6QID/J2IvCgin77VX7Ybg8qmskWqu5eIxIEvAp81xhS6XZ+dYoxpGmOO0kpm97CI7IruTxH5BDBnjHmx23XpkkeNMQ8CPwz8UrsL/JbZjUFFs0XuYu3xhC8Cf2aM+ctu16cbjDHLwNeBJ7pclZ3yKPBj7bGFzwM/JCL/q7tV2jnGmKn27zngS7SGAG6Z3RhUNFvkLtUerP4j4LQx5ne6XZ+dJCJ9IpJuv44AHwVe726tdoYx5teMMaPGmH20/r1/zRjzj7pcrR0hIrH2pBREJAZ8DLilMz93XVAxxnhAJ1vkaeALuylbpIj8BfBd4JCITIrIL3S7TjvoUeDnaD2pvtL++ZFuV2qHDAHPisgJWg9WTxtjdtXU2l1qAPiWiHwfeB74G2PMV27lF+66KcVKKaVunV3XUlFKKXXraFBRSim1bTSoKKWU2jYaVJRSSm0bDSpKKaW2jQYVpW4RERkUkc+LyFsi8pqIPCUiB7fhcz8rItHtqKNS202DilK3QHuh5ZeArxtjxo0xh4Ffp7Vu4IbvFZHr/dv8LKBBRd2WNKgodWt8GGgYY/57p8AY8wrwsog8IyIvtXNcfBJaG1y287z8N+AlYI+I/L6IHF+d/0REfhkYprWQ8dmdvyylrk8XPyp1C7Rv/vuNMf/8qvIQEDXGFEQkCzwHTAB7gXPA+zs5TkQkY4xZbOcAegb4ZWPMiZ3Oj6HUVoS6XQGldhkB/kN7p1ifVtqFTpfYxauSZv2D9lblIVrbrBwGTuxkZZXaKg0qSt0ap4Cf3KD8Z4E+4L3GmEa71RFuHyt3ThKR/cC/Ah4yxiyJyB+vOk+p25aOqSh1a3wNcETkn3YKROQhWt1cc+2A8uH23xtJ0goyeREZoJULo6MIJG5NtZV6ZzSoKHULmNZg5aeAx9tTik8Bvwk8BRwTkeO0Wi0bbj9vjPk+8DKtFs+TwLdXHf4c8P90oF7djnSgXiml1LbRlopSSqlto0FFKaXUttGgopRSattoUFFKKbVtNKgopZTaNhpUlFJKbRsNKkoppbbN/wfk8XpHv78BygAAAABJRU5ErkJggg==\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", "ax.set_title('Diamond prices')\n", "ax.set_xlabel('Carat')\n", "ax.set_ylabel('Price')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fontsizes of the labels and title are a bit small. They could be resizes separately, but the easiest way to change all of them is with the previously used `set_context()` function from `seaborn`. Here, `despine()` is also used to improve the visual appeal of the plot by removing the top and right axis spines." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Price')" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "sns.set_context('notebook', font_scale=1.3) # Increase all font sizes\n", "\n", "fig, ax = plt.subplots()\n", "ax.scatter('carat', 'price', data=diamonds, s=1, alpha=0.1)\n", "sns.despine()\n", "\n", "ax.set_title('Diamond prices')\n", "ax.set_xlabel('Carat')\n", "ax.set_ylabel('Price')\n", "# 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 x- and y-axis limits can be adjusted to zoom in on the denser areas of the plot." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(200, 4000)" ] }, "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, s=1, alpha=0.1)\n", "sns.despine()\n", "\n", "ax.set_title('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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is still not satisfactory, which illustrates that a 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 dimensional histogram). " ] }, { "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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NAJBvFKM9M6iskVIVG6ZsNmrlkQkACP5ndwPV6xQvRKBazffWC568nuFFkivRl07qiOPFLHeJl9lrzcQHj94NVcJ1KAZsv8e22PXjO0FIu60B+5GIdpGvrBFOGZukyDJ+0TpzUBZLI6gO8RI+VJm46xQvklyJvpS9qc7xMuF4IUH4wKd2wZydt0SVcB2KAV/Z7zz88uJb4ckHB4ZIs22mwcLuWcRtVlu+KpzQmipnaUMatPWi+BTdOl1xmVnybhEi2NSoiC+HdYyXEtJVoS+6ujhe1HXpYV7YY/zk7JtwzuHObbir6B/s880kqpuoezmmvTST11kdrNclapcpIQc9E5E01RaJ8FBGUlYUnPUB0bbfQIyGFxl5eYn2ngAQglobHYUohxcblKwvMoy8aHQkVV+E4yWSdbyIdl7Ca20Fd4oXTVxRE+gf7M9YiWxwHYoBX/rpidjn5P8yf2Ary022yCPTomJyuhud6SNNtb1EOEsyZFmqi2SWUtUxa5tirpU588jNCyiK7zU8cNPzn3rP0/PCGXgp0KYy8jDyotGRXPoyxXhBGi8KjtBtXhRxhSB88sv74UTnNtxd/PKSW/Hjb/6iMzvlk+jUlJ41cjK+rm6dRo52Rg97WxzShCdkW166iU6agCa5vhSW03jpAheex7jyv3+M23/0+0rLcR2KAXdc80eMDY91p3DdzKBbsq5uWcBAbKd83jyyyhycNtwMR5H+rvkoYlm8dBO9oCNl60sZ6AUuekB3RleM4v+u/1OlZbgOxYADv/gRrLneGgCQ7hJIajmysQr19wp0csxuS4ayVXKvuFDGeAnaWauBarUovHJeIlt4sF6i2+TYNV5achZ90XIxafSlJZfCS5469QovspyTl9dvtDb2/X8fQpVwHYoBG8/dEHPfvxVIULpLIKvlyMbqqb9XwNB8x0BVBgCQpcwKGYpw0pSlC88qx3jhqJ5GXjRyLl6Y/c6sDF7KkvPqC2u+AZKHlzL1ZSLwYstFL/Ki4ciWFyLCDh/YFhttvT6qhFWHQkT7EdEfiGgpETUS195DRExEy6W/PyfivJmIbieiFUT0LBGdmLg+jYiuIKLXiGgxEV1OREOJOCcT0XNBHrcT0YZ5G50FXzvoO7j1qt/FlKxVKY2cBfL0V5dHFdNrtrxuCxte2tyGLUmTo+Vtf2zzS7Ieqvh2VTPCipcS8i5LR3qJF1M6mzhTnZewo2PGry6+Ded+6uL8dbOA7QzlNQAXAjhBc73JzDOkv+jQfSKqAfglgIcBrAnggwA+T0T7SunPB7Bp8LcxgLcCOFfK40AAJwPYK8jjIQA3BXlXipmrz0B9oK817cyqcFmgyy+c4lJLBqHlmihN62MunkJjBpBcH1PNJiY3SFm2eig5npHti1THbRZehICoCRABoi58kxuR7zacmRepCqXwommfCap0Ehc6XmLurtJua62+2Miw5EVV9yxc2HClGqRl5kXS/6xc9BIv4ThYEGp1gZmrr2LIqBhInsYZIxO9B8DtzFxPC0ukeS+AXwNYi5mXB2FnAngnM783mIksAvCfzPzb4PrO8Duh1Zh5hIh+D+BOZj49uD4DwEsA9mDm39vWf+7cuTx//nzr9gJAs9nET86+CVeefn13PL0mG+SnucjCfNZihYieZtmEkFoHQnkjz8kEmRfHUQs9zIsQhGMuOBR7Hfl+8xYIBYhoATPPNZaTq3btqBHRv4joBSL6NRFtLV3bGsBjYWcS4N4gHAA2ATAIYEHi+hD82UqYR3Q9yOtxKY/KcO1Xf44fnvETsOc6k3KQ175TDPqBU0p9euiF0FMoe2Y+WdDDvDADl3zuKvz8/F9XWk4ZHcojALYB8Cb4JqsHANxBROsE11cBsCSRZjGAmdJ1JOKEshwnLQ8tiOiMYI2Hn3/+eVP0Ntz1qwVojDWQYSLnkAZm+E9bhwkN3YZD54DIddndWIfJD2bG+GgDd998X6XlFO5QmPkFZl7IzA1mXszMp8A3Ye0RRFkGYFYi2WwAS6XrSMQJZTlOWh5p9TuDmYmZaZ111jFFb8MR3zgIG2y+LoDAphqaSZPue4pwIQhC5dZnI8u27bZTRdEuB7/LluP2X037U3hpc3EUBFGvoVZXuA1XygsBFB6hk8HBwoYXXZsteSlNXxQc9aS+ZJRL5UW1FlYRL7q1k27x8uY5b8LB/yMvXZePqtyGPbSoXQhgYyKaLl2fE4QDwKMARgBsm7g+DOAxKY/oerCG8hYpj8qw5nqr441vXQ9EidOGE6580akLslsft8LBLbNL3MUxxd1R4aZIaDkrxWRC6z0pyUq7bnhnLGSOyZr2p53gGuOCg/e5xJd0YmqlvJCGF0rhJYWvGC82p8qm8JLkKDcvirJz64uh/YX0xcZVuAgvpvI6xAt3iReljhDwpi3fiDXesBqqhK3bcI2IBgH0B78Hgz8iovcFbsGCiGYQ0RkA1gZwS5D8TgBPAziLiIaIaBsARwK4BACYeRjA1QC+TERrEdFaAL4M4IfMPBLkcSmAI4loTrCI/xUA/wDwx+IUpONbh1yIP954V+ycnggGa0n83KOWIsjplOcLpcq6tGpZ7UJruF6mnAhjhC8CTwpoT1c6L3KZsvuypvzU8DJkRVjMs7lTvCRkK17KllUowoth8NEWf5LxotQRBn57zR/wnWO+byigGGxnKB+HP2O4BUAtkIcBrA9/Yfy38M1STwF4O4BdmflfAMDMTfjuvlsAeBXAzQDOZubrpfyPhz8bCf8eBfDZ8CIzXwPgHPjeYq8C2BLAB4O8K8Xab1oLfQN9cc+Iis0G2nVi0sSTpuyUmMqr4vjWn1ZGmXcDZ3EnlmVG4G0lAnfdApwiEW7khaIj69tNH5LcDV7KlJEIt9AXOTweR8OLhUtsz/GSlA28JLnIzouOo+7wImqEen8dr3vTWqgSmdyGJzryuA0zM3523q/w/c9f7dyGSwDV6tHTw43xDhYsvRU66K48KRGafJLyVEcP8yJqhOMv/hT2OHTnWEdmi067DU9afP/zV+PyU6+NzyNtR4emOBMJWdtpFb+TxJT4dBe5/0VmHL0CnYnG8aKWq+bFpmoMXHDs5bj6KzdkS5gRys2IDi08eOdDaIw14oE2Ns8sdtGJgKztVMYPHBuiv9JqZwYDgAdQ8GGtIoUXuf9l2NF7FY4XNarmxaYKHqMx1sDf/vBItoQZ4WYoBhz7nUOx2TuC/ZWS1STp+qdyG87s4piST6xchDKUcimjOlN+MS5gxQsJAMwQNf8YCICL8xJWx8SLtIbiL+bY0dCGCniRw63cQKlEXtLaZEKWkbQlLyrZ2j22Sl6yICMvqvUsW17snh1f3ua9m+OIbx6Us1F2cB2KAQND/RhapXVOZagHOu+R1B2QFh46xrQxJc+o8aroJTxA8YFTOi8UJIi1uAgvSpgaQqk/28I6wIsqjZYXOa9MNcr7hiw3i6y8MPS8oFO8ZFSpLFA7jel4UYphRKUc5jVt5jQMDFX7CWBn8jLgvCMvwcN3Pe7/0L0IpXCt+2IVssYNMq/baibZMm6Ml9CFGh4ouFINFwpeQjMbBWMoplZlu81LKFeuIxn1RYWKeVHVz/EiibZ7WBTyX26aj7GRMXztN6cpGlAO3AzFgI22eRP6B/sgavK8WBKzTG+TKNtMlbcMjZzVRGITn2rBR65IAELT0Cp4CcsMZRH8lkwLtmVXwcvk0Be1GakSXorwmAcThReow0VNoN5fw4Zbb6CJXA5ch2LA8RcegUO+uj9id0czksq8gJZ3NJQFeUdO0M6gC8aXfniahnaSl6RzQNd40ciwiNNpfdElzTjSL8RLER7zYKLwAn34p797OI74ultD6Sq+fdQluOKL10G+O/rNXFLCjCORykZZFYystLMPq7ZJecozlE6OPklKX+IMpRgvFch5UCDfSTdzK4nvnuAFwAXHXYbvf/5HaVUtDLeGYsA/HnwG46PjViOIrKOJQqMPWxSaoahHVrp6W8WJZiWcSFCgzjZgDjoSav1WLfoXGEEW4aVnRuU9N6PVyLCI00Uueo0Xr+mBPcZTDzyjiVwO3AzFgBMuORJzd9umNaqNRrZqOen6Z+P6anQVzni8Q6YRVKEZjBQmtVnPCwHggJfgGBQjL+R/XVGKH5WfgRcSorV+43sIIBWl84IUXlr1tnF9leMYdaTn9QUTl5cCXOR9jpJxtG1W8LLjh7bDMd/+pKIh5cF1KAYMLx/B8teWA5zQh8SZPNT6IUVKZKY5xycWDlmW0wb/x96DNgbcDNdNcRMPBEvBpIhTLi/6egDQ1r01H2L1BR1K58VSX+JKFkujKq8oL/YXFNcnDS+skBJQXcg7MyrwHLW1NxFPJYdxlr66HKMrxwyVKwbXoRhw0Qk/wCN/fQJAfGCbPF6adeGBicdaZk7PM6MZKjdU+bFalq1H6bwwAJLaTBa8BB/GknhR3gPtvqDgf4/BjSCfIvxUwosUnllf1PlY85KU82JC82JoRxH0EC8P3vlQ5WsorkMxYKt3b4Z6f91uARkW4RMVNu2x4IVqAlSr+WYsqzwJ0XEpVIBUgp8PA+W8KaR8s8Rx+qKOM9V5yWJqSwvXRRf+acNbvXuzbAkzwnUoBhz+9YNw6Ff3j08hbUYxJb6zegI27cnKS9ad8IVOxq7ozVQFL70Omxee40UNq+ciY3wLEAGf/u5hOODUj2RLmBGuQzHgG5+4AFf994/jgXkX3XKkbStXs1DXWqiUymuLQ2rZ5owjTZx8i5H+PN/qeyhaIhNRTLzIyYWIXcj+bRSp6FJ5KUFGIlwVT+YljTsdL7o1v17nRdXORHjlvFis/1TTfsL3jv8BLjjuMlQJ5zZswIv/fBnjo434t1BsRhM26xtFRiUJOTLJemlxWC1bHEOhO7YiMxeeF3Qk0hcUU9NafLvEhhf56JWEDVv+ql23eClNRkq43OZQTONusvHC5vDKecm6plWS7DU9NMYaePHpl1El3AzFgP931XHY6aNvj41ErBEb8ZB2xBNF14xebL7ylmkzVDJMF55X1oEAqtUgagKiVgvqSsbyS+FFclUGoD56pVu8SHXV6osURy2XrC9p7e95Xsrhoid5SdSPDGXK13f9xLtx/IVHGAooBtehGPDCP1/CUwv/CWaOK2TanpFAFrEnoaXQMf9xIjv/+CCc0aoHo5U9c1yOlEolhyOXUA7TcliuLFNLFqQOt+Sl1Smn8CIq4oU1vDDK4SWlbiZeWi8iMy+I8ULV6UuXeCELXoSRFxt9wYTiJZJJzYv22QllBh6/9ym89K9XUSVch2LAZV+4Bs888jwAxFxOte6IkuxldXfkhMzt4W1T7th0Wqp4Rlm/+1uaoqed1mrBCzPAzSaaYw00xxoAbNyGy+KFAfakNjPgeS0SivLCUngGHSnkHjsR9CUjLzbusd4U5KUMfXlq4dP44Rk/QZVwHYoBO/7XXNQH6tr1YIcMYI4GVf6iJxuTlIro6Hov8dZwcJjcICL0DdSxw39uW2k5rkMxYL/P742Pf+ljcfu7Q37oRnlVI8+IwA0i1CCN7NBCj/FCBBz5rU9g70/vWWk57i1pwFf2OxfXnvWzuEdGJ0DS/xpZ5eJKMVm2pSK7rHtxFHlYYvkUeMnb8CIkLqTiSNQs299BXooiLy82+iJSeCHHS1t4D/LCzPj+56/GOYdfVGk5zm3YgKWvLkdjrNmyvaoW49JkFWzSJf9XyCqXRf94mJbNWM4nbjO2kOU6m2YWFm0iQYHnLiF2zkSGPDLx4rXk1oCAAnfljFxUyEvH9SXGS/hPir5I8bvOS9Z0jheEa0TNhodli5YrCi0PboZiwCnXHI/3H/ye1ugjRTGVsgp50wF2I5ysccqARZvYY1B0jIpC9bLykmXkR/KwlM28lMVPN/SlyIi4h/RF2b4ifE5hXogIHzx2N3z20qOK1jAVrkMx4JG7H8c9v7nPfxnaHIWddINUTJv1Ln6aKbRcBmvkInFM7SlJJuF/Sb40XnTtVLUtGDFGpggTL5wI7yBHHeVF137b8LJlUodPeV40si0vzIw/3Xg3nrjvH6gSrkMx4LqzbsQrzy0CgLjbbJrMLVnryqiQwVDLWcruVZkDl1D24DWa8MYDt+FO8sKeb4qWT37jAAAgAElEQVQIZkc9wUtCnvL6wurwKc+LRs7Cy4v/fBk/OfsXqBKuQzFg54Pehf6h/vYLZU91VflOFBkW4Qz4bsMC/seuapqIigxJRJ1AobqS8OXwOJdO8lIVeuH+Oy7yy7AILwmD0wfwvv3fWWkZrkMx4ANH7IJ9TvogRC1BFavjFwZ3QSaNbJsPLMLzRlY9ZHnaKZm6cuVTlJeq0A19kWVbXjqBbnMhy3l4qZAvIQif+O99sPNBO1VXCFyHYsSXP3YufnrOTfA8wyGFZYwupDx0robKs4l0NmOdnHSPREuOlUmSrKhLZhAl3K8tMmPW8mI8v0lucxifGRBmN9DYaR9V85IXZfCSR87CSzdQMi9kG97DvHge46ozfoxvHfK9SstxbsMGNMaDk4ZVo4fkKEQVropjuq7J1g/ndpkzyrJ7JIDIPTJZMCf+T6uYDF37goeLRFAf2fOKPX06qTPXV8XEC4PDsjyAyYYXtMmxosrkxVZHLPQlGy8J2eokXSlnFRdZkbGtxnQSyuBFdiHWhsOCl6wclawvXtNDY7yRsRLZ4GYoBnzxuhPwwWN3hxCK4UXW6XDedFXIJIWRIW5W6PLxwm+gSMM5m3QWcYznL8WGj2x3jzrFS4U6kvlcKl0d5DAVL6Z0acharyzpeomXrChRX0gQ9vvC3jjxsqNLqpwarkMx4K5fLcAtV/wfPI/V0+Q2GXFZmu5qP8ZTlpzF7ZCltJwSv8x6RiejovO8JN2Gk+1UtblUXmAXp2peiripVs4LlHFi449e5EXnQlyobjDKWi4UvLDHuOnCeVhw2wOoEq5DMeAX352H5YtXAEhO+3Uy4rI09VXupLXO10LO4cqbKU4RGQCIwE0PzUYTXqMZXfDjUTsvgDqvvLywB/aa2dpcGi82bUH1+lLQ9TtTnDzPiyKO335Z7jFeKnl2YJS1XGh4WfLyMvzy4ltRJVyHYsBex+yG6bOnAbAbTaUuyFmkyT6q7YJMBBK1qEFWvAAAM6heg+jrg6j3RRf8kTkBgUtxLA0U4Xl5IRHUu2D7rWVkkpP6YqdvE1HWtUstt/PSC22omhczX/a8+P+vsvoMfOBTu6BKuA7FgHd+aHvscfj7IGpkNZpqs82yQk5Jk31UW7JMNvHJcjSVSCvNRFoXDOlJFZ5Shk4OnqpM7dfJ1uXq6qyWk/pSuM1lyoW5KJOXLrTfRi6VFzNf9rwAJAh7f3pPbLf7HFQJ16EYcOa+5+IXF9wCr8ntF5OjhTQ5S9wUuW2Ekrcukr01dp2hDpcrwMHhinI4dPHjabnZ9DWcE3wmvx0fpkvGy8tL2DmFnZrNPWKNrIKufJs4qvgV6Etu3bHhIqsMizgTgRc5LAsvNiiRF/YY1339xspPG3YdigG1ei220BZDcrSQJtvElaDTPdbEMS3OUSyctFNqo+JGdlpFp6CqZDIKM9jzwKp9Pey1OhZNQ3XVi0VXmrsACod0xGpe2tJqClO9UGLtsAg36UBJ+qJ7i2bTF7Tv51EVbHphdoEXPXqIFx3K4EWCEISa9QkV+eA6FAO+9NMT8bGT9mrfKV8F0qa2hjimc4xYDve49UKX+4WU6XQp4LinnBWI9G3W8aI8x8uCl6SchZeyOMoCGy5MC89W+jJxedE/O13mpVMIyhSC8PEz9sHJPzim0uJch2LAvCvuwA3n/Mrf3Fj2CMSUVzdkLjHPoijLvNJrvOThqNvt18mOlwnBi+cxrjnzBtxx/Z9yZGYP16EYcNsPf4/RlaP+j9Km2wlkMZ11VSZEmpqVCyKgVgPI/8AVN0O3YUbb+kksr+C6HKcnuChJtkUv1NXx0n3ZFor0w8tG8Nur78yRmT1ch2LAfl/4EFZ//aoAkGvDUynfcQDitv1ufH+ByHfdpRxpEdieg+PjRb0G0VcP4rROHk7lRWu37jIvJddh0uhLyXVwvKjlLFystf6a+Ojn9kKVcB2KAZu9YxPssNfbQIK6+30L2TXRM8i6OunimNKSPzMpuhGMPf80rUnDS7IOOXmR5Y7xUkJdjfJU4CVP2g7yErafiLDTR3bAJttthCrhOhQDvnbg+bjlB/8XU6AINrIKedMBxabFujhWaeVIioqa2hTMcFqHWyYLpZQ8LIjpFi8m5NWXMvQMKG46qQqThZeyOa2IF2bGL747D+cecXHRGqbCdSgGTJ81DfX+euudZvPiMimZTVyS/tfISjOQJMsujlYmgTYzk1Qf2XVapdAmLgJ34bAeJJIFpOQh/8jJCxXiJSlLVTM96Hn1JatuabmQ5Qy8CEte5P1MWV6APc5LnCPKwYuiXKTIWdqXhxcCRF1gxuzpisTlwapDIaL9iOgPRLSUiNrOPyai3Yno70Q0TER/I6L3J66/mYhuJ6IVRPQsEZ2YuD6NiK4goteIaDERXU5EQ4k4JxPRc0EetxPRhnkanBWn/+Rz2P+UvSEf/VEZlC9ivRw7u0fn4sgWJgFpb0n8PCCglZFchwLDMvlJ0/pGJ1ACL1yIl2Sehrp1Cha8cF5ePEte0JJLXVQughJ4iXPEOXhRlKurWwcgiHD41w7EiZf3xmnDrwG4EMAJyQvBi/3nAL4GYFbw/41EtEFwvQbglwAeBrAmgA8C+DwR7Stlcz6ATYO/jQG8FcC5UhkHAjgZwF5BHg8BuCnIu1L85OybcM2ZN5g/sDWR0UElJ+2PHkQ3X4q9DMeLGj3MCzPj0s9fjZsuvKXScqw6FGa+hZmvA/CU4vLBABYw89XMPMbM1wC4NwgHgJ0ArA/gFGZeycz3ArgEwFEAEMxEDgJwOjO/yMwvATgdwMFENBjk8SkAlzDzvcy8EsCpADYEUO0HkgH86X/vxvhoo+cUpBiyvMnlOXtyuJUlGwLqdbAQ8DwPXqPhfzgrPMbFwcGhMjAD4yPj+Msv7qm0nDLsOFsDWJAIuzcID68/xszLNdc3ATCYyONeAEPwZyttZQR5PS7loQURnUFETET8/PPPWzVIxmFnHYB1N1nHz0tQ9G5Nk0mWRbvtVSunuUTqjoRIuOZK7W4Pz3JqL0nxo/UGES0gRHFseSFAeB7geajVa6j199nzVZgXHUc2si6fFDkLL0ndKUFf2rhQyaltqICXHFz0Bi82XOTgpQAXOl6EgZc3bbkePv7f+6BKlNGhrAJgSSJsMYCZGa4jESeUbfPQgpnPYGZiZlpnnXVM0dvw+o3WxlvmbAgihdswq2WOydL6hMnFD9xeRqsdAACCxn2XJLswSfbcMDxQ6PBsxHaZ4zJIHS7LmvbrefHUvCjWM8rlRcdR0EzS8EKG9pfES5yj4rzIXLTxwjpeFBxBw0sWLkI5BxeRzN3kBXq5iL4k6lYGL17K+4UI2HSHjfG6N62FKlFGh7IM/tqJjNkAlma4jkScULbNozJ885PfxZ0//XNswS0TWve7LSwpxx9khbIn5EweIf7qK2IL7KnpgvixcAa8rAQEIAKTCBrJQNPzw1iuo7ou1fKSUr6hXpXYzGV96SYvijoVlvNC4qIneClbX/JylOQlJW9m4NYrf4fzj740Z2F2KKNDWQhg20TYnCA8vL4xEU3XXH8UwEgijzkAhgE8piqDiGYAeIuUR2VYc93VUR+oQ9TkeS3MMizi2Mqaa3HXx0BuWahibqAtMxADRP7udD+Cxp2UIOo1Py8R5kNt5gHrNjADngeqBWYzUYt7zvn+q8FfN3gxyLrdzRrzSMd1RJaz8EKOFzt9keMYeEGy/d3nRQiBen8Na6y7uibDcmDrNlwLFsj7g9+DwR8B+CGAuUS0PxH1EdH+AN4G4Kog+Z0AngZwFhENEdE2AI6EvzAPZh4GcDWALxPRWkS0FoAvA/ghM48EeVwK4EgimhMs4n8FwD8A/LEwAwaccvXxOPiMfRC7O1lHGkVHeKaRGEuy15JlN9C4i6MXyOSHoz0Oh/lTEEflQpujPRyeB0bUOs8ria7xkpBV7rEAVCa3WLm2bYBFnKr1hR0vdvoixzHwggQv2llSxjbAIo5OJsbR530Sx194hCbDcmA7Q/k4/BnDLQBqgTwMYH1mfhLAhwGcBt8EdRqAvZn5nwDAzE347r5bAHgVwM0Azmbm66X8j4c/Gwn/HgXw2fBi4Dl2DoBfB3lsCeCDQd6V4vJTr8UVp10ff4lmHUH0OlRKy4nAIqOmWHDryYzv7elBwmwebBtMZn1xvLRQBS9F4khgBr776Stw3dduzFUlWxAnXxyTGHPnzuX58+dnSnPc20/Bo3c/UVGNuoVgDh8zSOuiBiaoZDTdCcHafPwyqd4H9oLhnycNA8P6hOYxBweH0rHtLlviG7d+KXM6IlrAzHNN8dzRKwYcc94nsXFwoJqtu19ut2GROOJBlb9chyx2VwJaaxQq43D4O1zjaLkIx/MIZBHECeqkrGvSbThIWuurt9yGa8JfVwEgai235mK8yG0y8JIVqvxILafxog3Pqi+SrOXC8RKVW/g5ygoDFzFe0tpfAi9bvGtTHPa1A0tolB6uQzFg+qxpWHWtWQDpbaFxe6xkPW2z2+rTtIIVNlat/bel8aS3MbXFzf2gJOoQZiO3OZ0XlVEakcyKNK2ssvDSgpEXm5eJia8cvKjDWdt+LS9Z17NM0A1GTLIKujUL9AAvJIdbPBBFebG4N5XqCwGrrjUb02ZOU1SuPNQrzX0S4NwjLsbDdz0u3dHE/7BU8LKOAc/rBhmat0gorgdPV8z8pMgjJrO6TB0vIDAIxB68JrU6EY+jsrnZGn11jhdTO7PLysVWK31pBVStL5k6n7I5SnmhqsNbAZUcpz9FePnjjX/F8PIRfO03X0RVcDMUAzbYfD30DcbdhnO5zZYh20JnZqjXoimwqAVT4RrF4sddH6Us29wdCWCKRUrlRXIbpprw61ITrQgkdWod5KXVnvQysu6e1qWdKPoC6NtcHi/ZwrPGKY2XtrLN97PYyQPmOmSVRU2gr7+ODbZYF1XCdSgGfPbSo3DImftDvjulbIrKI9tCHvGwFKQaRXvSzEQSY3GQHOlCGcmGFw47DyJwU/6sbwFObaHgJVm0zShRz5E57UTRFyDlnseSFuElW3jWOKXx0la25n7GomfjpZA7sVWbGcd99zAcefbB6gqXBNehGHDBcZfhii9eG7/LZY2UyhxNGUBJzY9GpfEZSpFRmdXoMxSYpRlKIkEHebEur2Jeek1fcpXheDHG7xovAC449jJcfuq1hsoWg1tDMeDxe5/yTxuWUdZIqczRlAHMAJpNxN2AyXfdlcvlxG/hr7kkBjthZPsRJBEghB/uNQGPEzMUdT5V85Kr7AKzj4miL0Xr4XhRy93ixWsyPK+Bx+9VHRhfHtwMxYDjL/oU5uy8JYDIUuNDHs1LctK1OJPrq41scYyDclQTugQDIBAoOPqEarX2uGEdazV/7aVGLc2W84vchi14AUDBWWKiVoPoqyd44cp5yTSyzDxTkcIM4WSrLzHdacWJtR+a8B7hRTf7NfJi6x6blZeo/C7yonlGYuUneMnsNqyIv8MH3oajz/ukoSHF4DoUAxrjTYyNjAOIm5hjOqGbxiZ/xpRLUmKTtsqjDpNiQzcwK3+4FlYlDy/KjPxEUrBFY23yz4OMdClvEcm8SK2x5UWGjhddekP9c2tDATXKxIt1phl5UaKEZyNLFhrrcxovmWuo4GV8eAzN8WoPF3E75Q349NtPwSOTaac8JdYtIpOXWg/CQyQZ8E8IDmGzyz6WUaDgIjiUMtopP4m/hOng0GPYdpet8I1bT8+czu2ULwmb/8cmqPfXY9PlnlkczAJCvDMB/Jd6OJ+OdtFLf0L43+hoeq2Ox18EQdSZ2LY/2Mwo6jX/ry/B6URCkfs/UfQlDxwvati0oWJehCDU++vYfMeNzZELwHUoBhz5rYNx2FkHxM03vbI4mAWc42msYHGUow4s5bThXkfVC8i9oC9p0L3MHC9q2aYNVfNChE9/7zB84ox9LSLnh+tQDDj7kO/hyi9dHwsr4spXqntkxsW/qGxpAQ9AymIl1OHazY/mehM4mq3IDgE9wQsl22+Wdfc2Ky82+fQML9DIGdszcXmhliwmCC8AvveZK/C9469AlXBuwwY8/8QLGB9pwJPca4u48lWzaUlzLRYWbLUSNUnp/Ahtx1AwA8T+8obCbZh1+xHT6krwZyWNpv+Dw8+UEgDuIi/STwbsvmOhdv3MurHPRkcmFi/q/CcfL9ySrY7/UeffSV68pofGGPDcE/9GlXAzFANO+sGx2HHv7eLufFDIYVBiVB8bzZAUh1pxovgZ3RqzHN1AQoDqdSkex1wNY+2hwK04dBsW1NJU4XcAbe038QIgPMzOz1NE+ZHkftxpXmJyYiRqbFsRWVNXo75YzSxtOFLcd1nuJBdl85Jxlmkz++wKF4oyrXmR4oTX33fAO/GZ7/XGB7amLF59fhGeffTf/qBd9zBLvt4giilC6ybH77h22mx8YbR8zDlI78vckrkVHs4OIqestnCpcwhHNEm5rQ6WdU7wQoG3GOXhxdjB5OMlJnNC7hAvmfTFtgzFi1HHSylc9BIvac+UkhfOxoup/WXzQjl4SXLBwNMPP4tFLyxGlXAdigGXnvwj/PNvzwCAb6IJZ7uWshd+UtfjyLRkJXNCZlkOKhc+9EkZCpk9cKPReqsEHlyx9KGieh7Ya4KbzXBSEZWdtf2RzADDfwF4zSa8ZtPv0JrNaHE+lReuiJcictS2Arx0QF+UXDhephwvj89/CleeHl8PLhuuQzFg+z3n+G7DMXvJBAQRROD+HO5OF/V6cOpvLdhvEqiD7Drssf8XIrlvKYynslvICE8bFv5XG6neV2rzHBwc9CBBqA/Usd1uW1dajutQDDjo9I/i4P/ZZ+LumQjgr1NYvPQrbibLBXg9vqmRNPJUh+NFjR7mheB/ffYjn9ur0nJch2LAV/f/Nq7+ys/inj2dhmQzjeS2L/lSIKvXIQitlzfVCFQTYGZpPcM//Ve5QCnbpAlSwZp6ptSfWvN+oFZQ/crgRUhyop3xBU+1Hd7KxdNU/7Kh4oUmEC9VwYYXkc4LBNRrNT3OCwO45KQf4rxPXVJpOc5t2IDFLy3F+Oh4zLW24+DE/wDgyWsbrYttnw4NfntNBsiDqNf9zYXBd1C8pEkrWawQLV0nBkBSfEJst73+oxnBA0PBJMgLTGAFOS2BF98Fmlvxw3hSnJiMpKyoT1I21b9sqHjhCcRLVbDhhdN58fXLwEUP8sIeoznexOKXl1RajpuhGHDK1Z/BLh/fqfMmL83oRecea3I9pL46RF+fn8hjgD3flTg8zr6tHAquh0M4lkZtLEcMBMMTEb3EuJWubT0mPQtd22LVQDZe2sJUdej2CLsbvCTznki8ZGxnKbx0e0ZmKJOIsOeRu+KzlxxZaTVch2LAE/f9A/ff8Xewx1bujlbHS5NZVpYBxNyXY67MLE2tFXL47XYKX+RRHEmO3vUUjMI41oGQoGh01qpbyAslwhVckIILWUbneZHbHPZ3beaKZBxNHYyyRkeM+lImL2lcJGVbXkSP8QIzLyibF5WOdFJfNO0Pw5kZ8+fdj3/+7V+oEq5DMeDqM2/AS0+/DADxHeVJmdWylSujQgZDLafVI23XbrMJb2TUl2s1oF73XXeDhfg2X3wA3PTA7CG8wB7750IGpisfBJZODdbywgAHXmTNsQaaY+O9wUte2aZcSx3pqL70CheyPFl56TF9ef6JF3D9129ElXAdigHv2XdH9A9OEBfXtGm3EBB9/f6bvdEEGg3f8yswa4UzCHkmAQDsefFDHAnwbQTJ+b5hbh90atwIOjFOj14qbMwRNvJkQFlcTDZedJhEvPQP9eNdH31HpWW4DsWA/zp2d+z3+Q9BFPVI6gRYL/trJdT+Ig9dhcPw5ANR+ou/kz2JosgschovExV5udDJk4UXHSYJL0IQDjlzP+x+6HurLafS3CcBztznXPz47F/EDoesDJqRTnxhlaLrOrdelUxoInQdpv46qK8OBgJXYdGKDwTuxMnPiFKbrK27TfuyoARe2lxfDe6xlMxHKj8qt9svjSp50XDRFl8uvwxeyuC0J3hpyaXwUhAeM6780vX41mEXVVqOcxs2YGTlKJoNTzmwjjkqJUeztgNxKa4uWXwAJNmDSZINroyeBwgiUF8fWFAQIKLF91DbPS9sK4OJIOo1gBjcbOXpW7wofnyFiRcKf9g9VXIeZfCic33Vuce2xZcKzTvH0uqLMWErbsd4SXKhi68qOCNBaR7n6Qmh5EWHzvIilZaBl9j9LVNfGGg2PYyuHLXMJB/cDMWA067/LPY6ejel23ApPuWy3pVljlCA+vpAff2+3GgCjWbMCyX5RDIRRPC9EvaSlcvRjuiBsyOHO8RLKkx9X8a8te0wJlTn0VO8FMivbF5KM+tlRQm8WN1fYybteZAg7HPiB3HiZUdnq1BGuA7FgAW3LcQd19zpuw1rd7/qZe2OZKtdtZKc1e0wmY/nbyYMT/yNxWEE4X4H47uBcmT6siqLEnmq5KADi5nTbHhJ48i2/XlkznEPCpYbM6FUrS+Ol3Lr2sO8sMeYd8UdWPj7v6NKuA7FgJ+d92sseWUZgNa0N4scPw23fQodk9Pyyup2mKxHo4HmypXgmgANDQLThsDNJigy/TQRdjWhayI3mvCY/Y9s1ett9QmV1g8nIOZOrGhLMENhr+m7GtvyksZRr7nHFixLNq1Uri+Ol0rq2smysvCy6IXF+MV356FKuA7FgD2P2BlDqwwBQGJRTy23LQimXTPkZSdbjmr6+lCbNdPf5DQ2DixfCSIRvOM9fxQTKF406hEE8jzfxZjZN4GJ1gJ+K36rYrFNjqr2ChGdcNwTvJQiq+ufS+4VfSlFVtd/avKiLldX/6K8qMqbMXs6dj/0fagSrkMx4D37/gf+65jdIGrJ0bdabrPHpl0z5GUn241kqF4DKGiD50kdAsc6h5jclk/++qOVPdrswV3kxVrOwUsuuUf0xVqe6rzonp02XtTlFl4HsuSCBOGjJ+6FHT84F1XCdSgGfGXfc/Hz83/tH66YBt0oIktcq9GGxQhIvqth+NgYMOZ7eIihAdDAgN/RSMfaa+28tVpQALfXhRSNTWkTcwqPBUaxNqNBJS9kKXMiXZqsQ9b4pnQljdqVaSchL1lnLVa86OL2GC/sMa796s8qdxt2HYoJRNluJtA+Ai+IWHa6ushPgqTM8fc9RddJU8nwrCCi4HDIeh8gasmMNBUNjmBJ6zQYsWMiSkPsIdK8ITS8RCY+pNxqU/NtmlNyk+1gfnOSIqofxeKeTyBe4s+RjheFOFl4Icu6F4DrUAw4/cefw0dO+E/zTvksN7/A9F+7oBcLb6XjcD9mf7//B8AbGYU3MhZ4f0gdQDhbp6C7EcE6h+cFH8NSLLpHaTUEJNuRps9l8aJdAG2li3jhVhy5OTFzgk1dsqJT+mKzSKxps3wGFiYbL1p9keJMIl5IEA46/WM46YpjClTCDNehGPDba+7E/37nN/CaXrapsQoFTBfZp+7xoVZ0hhYhtrAeZiy7PvpTdm7Fz1CfXFP8DvKSO0/WhBesc6d5seFrMvBiU4+y9EWZliviIicv7DGu//qNuPOGu1IyKA7XoRgw74r/w/CKEQB2C2upI4kCI6p8i49SJzE+jubSpb6i9/cBM6YBHKyJhIv1cnzAn70QAXX/dOLkKKzlNozW02OqPwfTg9hQMFv7i/BSJM/CC6gmOYkKeLHhazLwYlOPsvSlCr2rgpeVS4dx2w9/l5JBcbgOxYCPnbgXZq01CwDsNiQl4qg2NhJJ32sgqOVkXlk2RpEIFtu5VV5fH2ozVgEx+27DwyOgeh0cLMqTEPF8iHz3XiLf3NX0/MX5IF77t1E4XgdDna14oZJ5qUrOWp+ivGTVlxT9rFQusW4qXtq4mAr6ksaLTkeCOGussxr2Pn5PVAnXoRiw9Xu3wLs/+nb/BWqzISkRR7Wxkbng9z1U9aBAjmYNiTi1ltswBaYsZvYX56O0rfhhpxIL91pTFO03Gqxs9pa8cIm8JMNtZNu0WTewFeWlyPdgvAnCC5t5aeNiKuhLGi86HWH/I3jvPfBd2GLHTVElXIdiwFn7fxs3X3a72ivJ1raZhhS7Z6b4YfWYpR+tCDw2Ch4d8TucwQHQ4KAf7h+360cSLZnBre+gCAEEx7HEqkJSEVnbYYJNfjZymonAhCJpA+Raa2vLpAK5y7yUoi+TkJeq9IU9xv9+59c494iL81fOAq5DMWBoxiBq9br6hrJGzgKbdCSL0lRWlqVPpIqa/514qoemr+Ck4XodCGYlBPgf3arXIPpqoL46qF6D6KsDtTpI1EEk/O/PR51pa0aTWvVO8SJBxQvpzEMyXzHZwuSW7EQND3qutba2THKmQ+/yUoonVN50yWfHwAt1kJcq9UXUBAZnDGTIKDtch2LA6T/9HPb7wocgRAeoslAm7Xk90Us/MGsR+Z/wDc/M6usHav7XCnh0HDw2jvDQOAb8J8VDy9wlo+kBwWwlNgFKylUhJy+sMw9JMsfkhNkAaq6V7e8GHC9qmHhJPjsGXtiWF82z2Qu8CEE49KsH4KTLJ4DbMBFdSUTjRLRc+jsmEecTRPQkEa0kor8S0dsS1+cS0d3B9SeJ6KDE9bWI6OdEtIyIXiaibxBR5W/5n59/M6496+ed+cBWCdDtROdGA5EbMMmjJ4pbyJLJ85qsJgPKmGlNRjhezOgxXjxmXH7KNbj5stsrLafMF/JVzDxD+rswvEBE7wRwEYCjAawK4GcAbiaimcH1WQB+E4SvCuAoABcTkfwB5GuC/9cFsAOAvQGcXGL9lbjzp3/B+Mh4zymIFszBrIQAeX2k0UBzxQpgcBCYuQowayYi61XUwZC/VuIPz/y/wG2Y6/VodsIIOi5fAOBh4hDk4DAFwcDYyDj++LO/VlpMp0xeRwD4OTPfysyjAM4GMAq/U/oOZQcAACAASURBVACADwMYBvBNZh5l5tsA3AjgUwBARG8CsAuAk5l5CTM/BeAb8DueSnHw/+yL12+4NgCgzcWPzLK8tmGUSSWTf0JveDqvbKuFQhYCoq/P/9Ji0DEQEWjaEOprrgEhCBgdBZYtj9yASQiIej1YlA/WWmo1gASI4Zu8xsZbC4axb8MovplSBi9KLhR2a5UNW8VLp+Q0l1DHS/d5oR7gxdaluWRe3rjpG3DgaR9FlSizQ/kIES0ioseI6GwimiFd2xrAgvAH+3aZ+4Lw8Pq9HLfX3Ju4voSZn0xc3yCc5ehARGcQERMRP//885kbtcHm62Lzd24arTdEbdC5zSZklVufVoZCJilfBFapIE+i1pHzIETugaEcLgIyc3TAo+82DEBOi3DtpCWHBcvHq1i7YtrworRDG7hIyBTjpZ0LKznWZk14Mk5aeFm8eI6XSnjhdtmKF1XbpOerTU7jpYrnSCcHHBERtnrP5njDxq9HlSirQ7kAwKYA1oA/63g3gO9L11cBsCSRZjGAmQWvQ4qjBDOfwczEzLTOOusYmtGOr3/iAtxxzR+0axNGcOL/rHL0QufoZxQl9iP4r9H010sAUC2YaQDwlq9Ac8lSsBDg6UPAjGm+aczzwE3/g1fc9FrlSTvZmRC5DXPsEKycnMiItUcdrl9wluV2LqzkZBNM90sVt2I4XjTFFOIlW1rtddbIKnSIF2XRzJh3+W9x/lGXVlpOKR0KMy9g5heZ2WPmvwP4LICPElHoo7YMwKxEstkAlha8Hl6rDKu9blX0Dfb5pqIQkqhdtLaJY43g5U2tvIJ9h4EsfVK3XoeYPh00NAQxMAARmMvE4ABqq84C9ff5rsWe539nvr8Poq8PVKuB6vWEecDvWIg5+LKjVA/J7TJTO8viReLChpeYiUNAMgkg3uasO6917XG8lNM2x4u+PRnSCkGo9dWw6utmmyMXQFVrKOEwNmzqQgDbhhfJZ36bIDy8PieRx5zE9VlEtGHi+j+ZOTlzKRWnXns8Pv6lj8Y1IesorejIRDEKkixRwY5ZX6b+/ui4eW983J91AMDQUHTaMEbHwKOB23A4gyb/5OFoRNs2bc549papLbbx0/LJwEvMldOD1DbJ1JCUwe1pkTBN5B3pqtqTJX5aPhOFF9v25E2bzGcq80LAUeccjM9ecmTGgrKhLLfh/YhodiC/BcA5AG5i5pEgyvcBfJiIdiaifgAnAhiEv/CO4P9pRHQyEfUT0c7wF+ovBQBm/geA2wF8k4hmBov0nwdwSRn1T8NV//0TXHn6j9U75XsQ3vh4S2trtZbddnQ0OIIe/mGPQhqihUi6EE91lDkomExwvKjRw7wwA987/gf4ydm/qLScsmYoRwF4iohWALgVwF0ADgkvMvMfARwDv2NZAmAfAHsy89Lg+mIAewL4WHD9+wCOYua/SGUcGNT3OQD3APgFgG+WVH8t5t96PxpjjfxrKJ3G+Di8kRGgXvNPFR4c9EdeK0fQeOFlsCDw0CB4tVn+QM3zNz/y+Hhr82KjAR5v+GsrYRjQWhCM1lgmCCcODlMc7DEaYw0suO2BSsuhCfOiLAFz587l+fPnZ0rz4B8exoUnXIEn7vunf0BkYCOiaJEaqeGAfzPzy0B4cjB7vgswgwGm1iyDEc0oxIwZENOn+Sav5SvAK1cCzKAZ0yFmz/ZnIc0mECzc89g4eHg4yIejTgWhmSssosmtWYvntSYzhvbrwgmAl5eXwKTgW06DPCNeWlxEclkqLueVLCPkQqpHx/Wlx3iJ6UgKLzpZxYsQFA1uHC/ZeHnrDm/BMecfgk23f0v2phAtYGbjB+nd0SsGzFpzJtZcbw2AErZQL7KYtnnSxG2ysrFWjiPbVTU22dBtmBS2VwIILRNVJAtplVF+MoRQLkr6WqpouCILWY41OQcvXl5e5HAVL1DwkmxTUjZd13QeyXJjdUOJ+pLMd4LwovM207nKwoIXTuNFtbaBic+Ljb5w2nMUvEfW3mBNzFoj1Sm2MOqV5j4JcM7hF+GRux6L3awIijCdmyZzK0C/YKd6acg73yn+Mgl3sgNgrwmA4C1ZCh4fR23WLND0GYCogZctAy9bBq/RBK21BjBQB7w+4LWl4PFG6/BHzwOEaB3TAvijp6B4MEsHRWq4qJoXi4dOJxtt3Kb2lCVn5cWmzZOAF92LdqrzUspzxMDvf/oXrFiyEmfd/EVUBTdDMWC9jV+P+kBf7JvymV1FE+vemeLX/J3s0e7X4DgVqgV/4c5ZAgAGDQ2gtsbq/hH1NQJGRv34/QMQM6aBRsdAK1YCr7wGXjkMNMb9pOEIuul/KjgaTwdLJRQVQrFGxHcDd44Xa7dJVTyKy7o26Hc9m+s9OXiR66HjwvFils31LosXnSxqAn0Dday7Sfa9eFngOhQDTrriWBzylf1iYVaufxo5c1o5WHc+pTTdpRmr+J/rJYK3YmW0yRH90mnDw2Pg0TE/XHKJhCdtXGT9iA7a0V3GthXhxYIvbTyOy7o26Eex5npPDl7kekjtgUZ2vKjlDvKS1s7jvnMYjjnvEFQJ16EYcOEJP8AVp14bf6FWMTrShevKjaVtXeDly6NZBg0NAcHMisfGAC9YcO+vR+HxulE8QNsGmzgFZFiEdxpVtDPPCDpLnKqgeyE7XtToBV4AfOe4y3Dl6dfZRc4J16EY8PBfH8f4aCOxeIhyZJjDo8Xcet0/wLEm/D8S/sCJ42l55TCaryzyL/TVgVWm+1Ob0VE0X33N71hAwNCQ7xY8Pg5u+H9o+msn0QKfXCePEbkK29iZK+al46iinXlG0FnidAKOFzV6jBev6aEx2sAj9zxpjlwArkMx4DPfOxxbvXsz/4c0gI8f2SCFZz0NVFBkP1WdKkoDA6gNDkSnDddqtehjXyI4KRiE4H8BscbqqK29JlCrgZevAJb4p9fQwABqM2aAmh6wchhYsSI4bqXWamzUHumE1iicY3GidqfykuBCwYtI4YI0nMr1bNVFF66ob6IdRpjs6ok4ZfCSpiNl85JntKtN53jJxgt1jpe5u2+DI7/1iQwNyQ7XoRjgn+/Trk3xAXz8upXusfaHIphayhbLXPfk2lQgBxL5qmqddYCYa0AZJkrywW1CdZCLqICXXNDVqcd5KWtyqo3fCV5Mz1yiDiSFq6oX5yVev7y8EKB8l5UJ5zZswPnHfB+P/PVx/4fNgprt0dQ2MgE8Pu577fbVgb7+YOd6Ewg3RAG+q6/nm6K8VxeBR0ZRW31V0OAAuDkdvHQZeHgE3GhCTJ8GFgKo94FHRlq7471QhanVOA5+S67KMTDaw6UHpDJeVLLForl2sdMEk6mh13gp4EzQDV5adZrAvGQxTSU6EWW4TocLtP+eeffD8xhfn3eavh0F4WYoBmy6/ZvRNyCdwgvop8JWspD+NHFCMCCGBlGbNRNi2jT/pOBaDdTfD+qvR6cFU034WkcEGhpEbfZMf0/J+DiwYqU/y6oLUI3AIyPgkWF/B32jERy90gQ4OLoe0hH2FFSicJszyrAI7zRKalshl1BdfbqJTupFr/BiU0aPcSFqhHp/HZtst5EmcjlwHYoBx55/KA4964D4VDHLaCQpx4Yeujgt0OBgy6DaaKojNVv+xDQ0FH15kUekAyFJINKwptcKT+w87gkZFuGdRkltK+QSqqtPp6F7gU0VfdGV0Qu86MoF4TMXHoFDztxfE7kcuA7FgHMOvwg/OO36WFisc8k8QtUMVzXxeXQ0egtRf1+UhuQZTq0W5csrhyO3YTE0FC26k3T8PAl/UyQAQFD7YqWqelpZnbajI/e0EaMqHsVlu/Y7XtRJi/BiUe9Ojuh18VJ5kaOTWu4FXgB897jLcNHnrkSVcGsoBjzzyHMYHx1PPVsnixz7rghUcQjRUoYQvruuIGBgANzwO4poptIMEpLwv6rIAI/47sFi2hCYCNzXDx5b6a+3eGOgWg0cuqU1fTfgWFUzrkVkPraiipF72qhUY8OWw+Kb0HTtd7yo6lSMF4t6d3JEr4uXyot0KeMaTSd58Zoexpnxr0eeQ5VwMxQDTrzsaLz9P98WH60gLsfchhOjUdm1OHLlS7gB+iMgAgUfxgKC77s3m6BVZ4FmTPd3v4+N+V9ODPIRdf8ri2APInD1FdOGIKYNAfBnK7xyOCqThL/WQuFpw7JvoqZtRWQ7XtLdppNp9V/CM8vGUWqVo2FSy231U+lLVl4suOhFXtL0ZSrzkllflO8X4N0feweOu+AwRUPKg+tQDFj6ylK8/K9XgolAXFGjXykvSyhustKcEMxKkmWE3yBRT4NbgdFghJPDL45fD3+pRmlhGCXk9uKsXvJ2vKTkGyXQvBg0vDA4LquQ1n6dXISXlJeWqnOFrC+69DpekJEX0+i9Q7yk6YvqZdmWrwUvqvr1Oi9WgzGL98uLT7+MZYuWKxpSHlyHYsBFJ16FJ+77JwC0PjAVyCzJuvDQVObJn9SNxYEiPoHhu/Zi+Qo0R0bgCQGsNhs8bRoA8l2Fmf1vk9Tr/kZGZnjDI2guW+F/MAvsf7UxiOe7HDMY5JvRQm+uJJIPB7fL8nHZyfbrZCtebOQgI/mTrcnju3XmikLoIC+55Ly8FMUE0hdVfaYKLw/f9TguP/XaEhvYDtehGDB3161R76/HRwkF4J8SXPMXxut1/69Wj04OjqaoXhM8NobGGqtg/M2vw9g6s+ANCBAzaNqQf6wKkd+RAEDTA4kaqFaDEASM+V9dRNixIPzYEPu9WNC5ODg49BhsXjUZX0ckfLfhbXfZMleVbOE6FAMO/vK++OSX942bcgpANSFIi8Rrzo7cgGnFaCtOs+VCTLIsJPfg2MGSUv2tKuFgtKFPVThe1CiLF6t3RLYsCcCx3z4E+/6/D+WpkTVch2LA1w48Hz8684bEy9kiodZmqokkpO+tSF9drD3/Kijw7uLZ04B6sIlR1IL1ewb11eOzD/jTfFGrtc73CbNktL6jElRBa3uO2XTNbSvCi1X8ZLgiL9nPQD7HKNZOAcn2jDgXsgwFR5gEvFAP8pLWnrLiFOFFZOAFvacvTMDFJ12Fbx91qUXm+eHchg145fnXMD4yBk932rAOGts9e+zvAQk1q+Z7dlHTAws/MjcpOFXYX/9oUgPNaQPAaM3/jPzYGNBogpsNcNMDBxsVudkMvv3uPz0sHUXs21KDmYzsucxoLUQy9Mdf6NYisq5RFImfFh7ZpKWgxD2TPxoWyj5FivZPZl64B3mxaU9ZcaTflfCCBBc9oC/cZDTGm1j079csMs8PN0Mx4As//DTet/+78q+hUPx/qtchasIfDdXr/lpK6CosCETCVxDPA8bGMfzWtTC+9gw0p/eh9soSiOGxwP3X7xVICH+9xfPC4ZM0DGLzqK6s0WNWKMrPOnrTOQiV0qZu8CKPorOOxrW8kDKOUU6Wb+JFV0ebcBN6gZe0MNs8ijwvujIteSEi7H7oe3H8RUeUXIk4XIdiwDMPP4u///lRMHO7OYjMsuzW15oea46dptaifLhvhEb8b74TAK+vBpam6AgmIxzJJIUrZCjCWQq3keX2sySXzQvMMktls6ptE40XUvMS0xFbXiiUOR8vybaZeIEhPMmLhY70FC9Z2pxVX2S5Il6YGQ/+/mE898QLqBLO5GXAlV/6Mf791IsAUqax1qcH+zvfvbqA6KtHpwQTe0C9Hu2ip74+cK0GMdCPoX+tRHNEoLlKP2hwGrzBJvDaksDkFeyc94J1E2kXvt0O3gJyJ04P5nQ51eRQRZsnEi9wvCTlqc7LM488h2vOvAFbv3tzVAXXoRiw00ffjn88+AzGx8Yh6V8+sAcxezbEwIA/C2H4b34CMDoWHfLII6OgsXFwowFvjZnAUD9qDQIWLwVeXuQ/DI1m64BHj1v5FK2jg4PD5AMB/QN9+I+9d6i0GGfyMuDDJ3wAB5z64egriUVBAwMIF839gECWTgyOXII9Bs+a7schQCxbKXUYUs9B7UHZKqWRpzocL2o4XszoMV4EEQ77+oH4zyN3rbacSnOfBDhzn3Nx/TduhKc71NEWRL6Ja3jYVzZBwLR+35sLAMKThJn9U4UDW2ntuVcgRoLZy+wZ0bdPosV8ZhAl3IAVLo4xWVA8Pqnl2IJfNx8QzQtM6eKZlKcgLzDwonN9jfOiWNtLyXNC86JyCda4CuvWKtp0rcd48ZhxxanX4luHXVhpOc7kZcDwshE0G0316F82MRnMTVT3d7E3VhvE8JZrwxvsw+BL4+gb9tdCxMtLUVs+DDQBbiDoOABaOQp65hUABB4bgzfeAI+OBZmyb+6SIa0ryC6OMTnpTqtxg5TjGKHjIosZLmO6yBTNAJPCNq5p22TnBQZedK6vcV5S1iEmGy+K9utchduOSpHy7mleGPCajJVLhy0zyQc3QzHg1OtOwJ6H76LeKW+rLMEx9DzewJId34ix1QbRmFYDeYHn1mC/PwsB/L0nzWbrI1gDA356QfBWrACPBfHkQ8CAYiOfMkZNOi6ymOFs8tDlJ4eXZZJxvKjheFGjh3khQdj7+D1x4mVH56+bBVyHYsADv/s77vzZXb43lu40UO3u8sT0uF6DWDkGYl/3vLpv1iIA3FcLpsqIzF0kKPpYFgF+x8JSGTo5Q/2itNqdvRb5mPJX8aJyd0yaVlSyTdlJXrK2weRabJuPjote5KWIvlShI5OBl6xc5ODOihfyTy2/45o/4O9/eRRVwnUoBvzkWzdh8YtLAKDdHS+UYy57QDhUYSHA5FPcnDkNjXXXwvSXGP2vjKNvaRNjs+pojo5AvLAY1PDgNZpoDo8ADQ+ex/7vxUvRWLQYzSVLwWPjfr7S2V2p7oJZ4mh3PFvkk7UOnDgZ12uXwVDLZdYjKy9lcdGLvBTRlyp0ZDLw0gGXYCtegjivPLcIP//2r1El3BqKAbsf+l786+HnMLxixGzfpGCKwYCYMQNU8z+/661YCVo6DCwfhZg+DfWGn0Y89wpoxP9olrdyxJ+NEOA1G4FMADPQbIDHAhmt4GQ95PCscXTxbeTMadOQsewidc0qV123VEw1LtJ4qaD9WTkqpP9d4mXazCHs+vF3axKXAzdDMWCXg3bChz6zJ0SwSB5BKVNLlt2Mw4W8pgcMDURpaGQM5AXXQi8ySdaPCNX1YI1sE0f5QMBO1pWVywacNa8Cdc0k5+ClkI0/iV7iQs6nG7xU0P6sHBnz6TFeSBD2/8Le2Olj70jJoDhch2LAl/c5Fz/79q/gNQ1uw6HttCZAA/2+G3BNAEL4n/Dt7wMG+oHFrS+meWuvBvT7k0QaHGi5BNfqcScAglI2nmhKCVl2g5TCIcuGMjMjb1qbuuh40dqcW3FVvCTDe4aXKrjQ8SJkeRLzol3rkOO00ul4wQThhT3Gj878Kb51qHMb7io43IWuAhFo+nSIWTNBzGh6TYhVZ4JEDStXr2PF+tNAHmOVBS+g/6UVgCA063VwXfhncglCTfidDppNcCP4Yw8kFUnCP3WY2QOBoPysrTyDkQQmOQrHrysbbCAkbcpdFBnzjs/qJV40w0oTL7E4SZTBS5Xc6YqxmG7EeIEcRcNLlhlWr/IiI8aLQkzhJZ6PRs5UmYxxsoARO56pCrgZigGn//iz2Psze0LUFEMEIVBbfTX/7K3+fog1VgXqdXg1wpItZqIxsw/js/vR99wSYLwBjI7DW206WPhDvvqLrwFjDQCAt3yFf5wK4Hcu4XpJuPEx2FGf1QwWyWwpUyJdmmyDLPELmWzUXPQUL3l5LMSLWc7Mixx3wvJSgb6QRjbVUYcSeSFBOOCLH8ZJVxyTIaPscB2KAb//6V9w00W3wGsySO5TagQWgAcG6gQI8u9djcA1ghgLDnr0gObMgdZXF4fH/NODPQ/cL00Qhb+A70+dQ9MURd4aRIi0XevWWIbMaXGQW26bhmtNEUXk7vOia4u1SWYS8WLTlknFC9vxUvjZkWVLXthj3HDOr/Dnm+ajSjiTlwG/vvR2DC8bARAfvYy+eU2MrjcLzU1mYS6ew/h4Hx5eNBONPsb4dMLwmoTBVxsYWMJobLwe6MkXUVs+DPHMy4AAmD14y4bhBacN82jweV/JZSQyUTWbelNER2XkllNHWwXy1Y86u8OLcbHWVk7Ja6LwYjNTmIq8lPbsZORl+eIVmHfFHdj5gHehKrgZigF7H78nZq6+CoBglEEEMWMGpr0wgnUefR63H/dDfOvkO3D2ybdhcK0GeLAPgusQDcL4anUsX78PtYeegli0BBgdBb+yCHh5EeiVxcDKlcDoCDA+FpUXG3BUsUmqrDwLjuhi50qF13RyWl5Vbx7rEi9aLhwvjhdJzsLF7LVn4b+O2R1VwnUoBmy32zZ43wHvBInW+gUBgMeYNjCOoWkNTOsfgxAeVoz2+4MED/4sBIAngNoy/3DHcIHf/xxvMGxg7uwmKVWeVDCfHLJ8fpLuDKSuf0+ii7xouXC8OF4k2ZYLEoT/397dx9ZV13Ecf3/OuX1Yn9et3fqwPq3terutjG1sDNhmJNGgCCGLCT78AQligkYkRCFGyURJJEBiomKECCiGIIJGwj/AH44Y8Q+ZRoRIDIwHzUA2YQ8w9tDer3/c0957S+/ajnvvWXu+r6Tp757ee8739+lpf/2dc3rPJddczIaPr6OcfECZxW2f+yFP3PN0dieoShE01GONdTR0naJu8ATP7Gvk1cONvHBgBR19h7DsLeKpPgypI6eo/e8HnOpunjyQOe3gKEWPe36USyLnbXLfK9G659SPWVcyz/Ut5lxK1f9SfV9KnMsZr6cc+8hCyGUer5s6pZMxHr3zce66xi8bjlV1bRVhKmS8ow3raGMCUMZ4v6WdoPUYe07Ao+/Wc+xYDUf2jbPsz2+CxIngJFX7DqJTExAGZE6N5/55MX/nyz/WWaSGwn01ujxWp2krOpmf3w6i52QmLy7IzrgkQIUn/81m2PA8zPncyWlXMvvLEpPLPDM8o1yseEYFuUA2FytdLkVfM49crMhzp/+en2suU9//szGXebwuv4YgDKiurT7Dlc6NDyizuOU3N/Lw3U/xq9//PXt4BrDqgJPH4fD74kBzPQqhRiep2XMCMtmdqvrfb+ZWMj5euNK5/AAV+WEpmNZSpD3T1Hf623HP0MbI/X/GmQ4E5eC5zKycueS1K5pLKTItmkV++/S5mOW9YBHkEkhc/b0ruewrfg4lVo//9Cke+f5jZE5GM4yMTb21/MT7AePvpLDjIGUIW6J7vJtBKqxMgaWY0luR9kKWxFyK1VfOw0ELLZdKZTQ9l5gzymSM+7/zME89sKes2/EZyiz2/PpZTh79AD33T4LlrdnB5NQ4am0CE299uYFU+yHGDx5n/I03s2+xkrEPz0qmKz4Xn7ldTLG/gErVnq8znd7P9Pr5ZpEvibnMc+abyFwWSkZlyOXEsZM888izfPra8t0GeMHMUCSFku6QdEDSUUmPSVpe7u1+4du76Fy9glQqZGS4ja5VraTCgJGhdlb1LCMIQ/qXjdDV2E0QBgyt66Y/3YkCsfrcPlaf04cCMbC+h8GN/QRhQN/aboY3rSYIA3rSXaw5b5AgDOgaWkl6yxBhKqRjYAXp84cJq0JW9C1n7QVrSFWnaFu1jHUXjVBdW0VrRwvrto9Qs6SalvYm1u9IU1tXQ9OyBsZ2jLKksZaGpfWM7RylrmkJ9c11jO0cpWFpPXWNSxjbkaZpWSO1DbWs35Gmpb2Jmrpq1m1Ps3RlC9W1Vay9cITl3a1U1aQYvWAN7b3LSVWFpLcNs3KgnTAVkj5/iK6hDsJUQHrLEKtGOgnCgDVbBukdjXLZ2E//+p5cLhuiXMZ6GNo4QBAG9OblsmqksyCXkfxctmVzae9tY+2Fa6iqSbG8e5Zc6gtzqW/JZlHfXFc8l/qaKJfmKJcRWjuiXC7K5bJ2Wi4dAysIUyEjWwenchk5b3Aql+HNq3O5bBqgfyzKZUMul/71xXLpYmTLUG5/2To8lcvotmFSM+VyYS6X9dvT1NRV05yXS2NrQ3YfaVwyQy7pXC47R2fMZf1ccjm/SC5bCnPpW7tqhlx6C3PZlMtlzebCXMJUQOfgStJbo/2lv70gl9ELhrO5dLVO5bJ05elySRfJZXTWXNZtT9PasXTq56ite9lULit626L9ZSgvlyG6h3O59KS7olwG6I1yGdxYmMvguR/OpWc0l0v3mk5GzsvmsmqkiytvvqKsvy8X0gzlZuByYCvwP+A+4EHgknJudNulm9h26SbGT42TqsrGVdieIFUVzrC8PO0wFSKpoD0xPkEQBlNtBSIIAiYmJpBybYAwDMlkMphZrp0xwlRh28zITGSm2hPjE6SqUgXtSvV5Pll4LpXLZS5ZLLRcprJYxLmUkwr+s/UsJul14FYz+3n0eDXwMtBvZq/NZR2bN2+2554r71sPOOfcYiNpr5ltnu15C+KQl6RmoAfYO7nMzF4BjgBjs7x2tySTZPv37y9voc45l2ALYkABmqLPh6ctP5T3tRmZ2W4zk5mps7OzLMU555xbOAPK0ehz87TlLWRnKc4552K2IAYUMzsEvAFsnFwmaYDs7OT5uOpyzjmXsyAGlMg9wE2S+iU1AbcDT871hLxzzrnyWkiXDf8AWAr8BagBnga+GGtFzjnnpiyYy4ZLQdIB4PXoYSeQ1Mu+vO/JlOS+Q7L7/1H73mtmbbM9KVEDSj5JZmYxv8NOPLzv3vckSnL/K9X3hXQOxTnn3FnMBxTnnHMlkeQB5btxFxAj73syJbnvkOz+V6TviT2H4pxzrrSSPENxzjlXQj6gOOecKwkfUJxzzpWEDyjOOedKwgcU55xzJeEDinPOuZLwAcU551xJJGpAkRRKukPSAUlHJT0maXncdVWCpCsl/VHSEUnjcddTSZJul/Ri1Pf9ku6V1Bp3XZUi6TZJr0b9f1vSo5J64q6rkiQFkp6Nbgfe7Bta7wAAAsRJREFUHXc9lSDpAUmnJL2X93FdObeZqAEFuBm4HNgKTO5UD8ZXTkW9C9wNfD3uQmIwQfZWB8uAc8h+7++PtaLKehDYYGZNQB/Zm9U9HGtFlXcDcCzuImLwCzNryPu4u5wbW0j3QymFa4FbzWwfgKRvAi9L6lvsN+oysycBJH0s5lIqzsy+lffwgKQfAw/FVU+lmdlLeQ8FZIA1MZVTcZKGgeuAXcDfYi5nUUvMDEVSM9AD7J1cZmavkL0n/VhcdblYXEzCbh0t6fOSDgPvAdcDu+OtqDIkBcB9wDeAQzGXE4ddkt6R9K/ocH9DOTeWmAGF7P3nAQ5PW34o72tukZO0C/gS2V+qiWFmD5lZM9BBdjD5R7wVVcz1wFtm9tu4C4nBj4ARYDlwBbATuLecG0zSIa+j0efmactbyM5S3CIn6bPAz4DLzOyvcdcTBzN7S9K9wD5JPWb2Ttw1lYukQeBGYHPctcTBzPbmPXxR0g3AHklXmdmJcmwzMTMUMztE9mTkxsllkgbIzk4SdfgjiSRdTXYw+YyZ/SHuemKWAurJ3hZ2MbsIaANekHQQmPwj4vlyX+10lspEn8t258bEDCiRe4CbJPVLagJuB55c7CfkYeqS6VqgOnpcG30s+luiSvoacCfwSTP7U9z1VFJ0uexXJbVHj7uBnwCvAS+d7rWLwCPAamBD9PGpaPkngF/GVVSlRP8q0BK1h4C7gMfN7HjZtpmk+6FICskOIlcBNcDTwLVmdjDOuipB0lXMfKls/2IfUCUZMA4UTPPNrKwnKM8G0UnpJ8ge9qkne85wD3BLdFFKYkjqA14FVpnZf+Ktpvwk7SF7wVEN8DbwO2C3mZXtEH+iBhTnnHPlk7RDXs4558rEBxTnnHMl4QOKc865kvABxTnnXEn4gOKcc64kfEBxzjlXEj6gOOecKwkfUJxzzpXE/wHQQq1m7tnwHgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.hexbin('carat', 'price', data=diamonds)" ] }, { "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": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "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.hexbin('carat', 'price', data=diamonds, mincnt=1)" ] }, { "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": 38, "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", "# 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": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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Esrw8nHhncpWgppzJzZ46h+tPvouSTU5PviPPOIyxj51T5rz1azZw3r6Xs3Thckd7KC/I3Z/cwC57tgdgyc9/cWaXi4lHK2lEETI2QCdefAyjbh8OmOa3cYdfxy9zFla8VjVnEBKRCnd2Pr+Pvmf15tx7R+Dz+Viz7B+mPjqdjvvuSo9/75lSymn8+MWvXNDzioz2Ri0aMunPR6ss+/o1G3j70fdouWtzDuy/L4axfX7X/Xfg5Iwdd52GBby6+umtI1DZVPlMrkvXoE7J8kyuQ+vczuRqOjVzb++RNf6Ajwxn9Qq+99TboS5N2zbOUHK+gNOc1nq3lvj9PkqzUHJiSIYJ0jCMTLOhbUh+3TzadGqVoeQMnxCPpT0JF4WZLW6yiSFo+j3SCIYDdOq5Kz6f+brssGNDhl59UoX327lbO/NMM1axWbUy1NuhLqdc1r/igdsjNfQ7uwJuFnqPitk+v8J5VAsNd2xApCRieRNaCHwwcRav3vc2G/7ZwOsPTmNAszMY3O4ch7t5s7ZNCBeEktP8AR/R0ij1GtV13KNB0/qE8oOO9QHn7kHMM7Z0k2E8FnfudgSmPjqdtx6Zzvp/NvLK3W/x8eRPHd+TxTAVnH2eGAKKY33DJ5YctnHi7HPIJpmylff9XAwhFo3RqHnDsge5sPiHJdw46G7isbhDjnBBiCatdihnZu2jfuO6hPJS/7dC+SF2aJHb650t61dv4PHLX+DogsGcu+9lfP3Bd1U8o82dGJLV5eHEM1dWgppirgT446e/ePrqScyc/LljxxIuCFFaVEowL0hxobnXC9cJ0273Vtz3+U3EYjFmTfmCJy5/gZVLVtF72L8YetUAmrZp4lh/04YiXr//HZ6/4RWHN6Tbzip5f1ufYYgZhmCTLZQfNF33w4GkbGIYqJLaASU+62oqL01zNhGxdkZucriYIhP3t/cl22yyJR7v27c7I24YlDTdZsPHkz/jlmH3E41EU89BIb9eHqffeCpHnX4YwXCwwnVqC4XrCnn13rd56fY38Pl9DBl/IkeffQTh/FDFk3Ng1V+rGdHxQuKxeNJrNlwQ4sgzDuPcu0/PZokqa549ugZ10tSmWY3t2uYvz1xpwzNX1nLadGzJ1S+NZWCzM1i7MpVhJ6E8Ej8BijcW89dvywDw+Xz8a+D+HDygJ8WbSsgrCLuun183j0GXn0Dh+iJevOW1VIdmmgHTFRykvCPt4xIu+3bZNB4Hn2HGvlm7M7Vi9DIVnE2JuTlpqrrLhtPDUl1k07gSzAvwf29lnqlVxNKFK4hFoykzpUIgHGDEDYM4brRXHiydgvoFDLlqICddejwiEAgGNst9/lm+DsNnOD8LhSUs/v7PzXI/NxSIqGd4qwzeq+YBkGEqzJafvviN95+facZglUEsFuPv35ZmdrhZEarope/cgSluJas0i5tUxcKRbtr87evfeePBdylcV5jFfTMbfD7vY1oewVBgsym4BLHKOk9VE4oQw8jq8nDivSIeAAybcBL59fII5QdtrvDWT58QzAuSVzePYRNMx4kF3y7igv2vYNzhE3h47NOc0nIkz054MSMG7ePJnzG47Wi+eOdrR3iAie13u5t+ossWfpDoSz42khMQnxVCgKQUncZBNeNMz1w3LVwgQy5nuICjLSmbUw7DEILhAOGCMMOuMV+jxT8s4eJDrmbMQeN5dNyznNLybB6/7PkyY9UO7L8v7bu0IVwQQkQI5QfZZc/27Hf0Xq7jPbYMbfdozX5H70UwHMDn95FXJ0yjFg05+dLjtqgccZWsLg8n3plcJahJZ3J2ijeVcMuw+/j09S8dnn1iCD2P2ZvLX7gwaZa89Ijr+Pq97xzzg3kB7vvsJnbq2jbZdnTBYOdZXC5k4xEpbt/T4pvfyy5dNoG9Du/C1ZMvSaYfu3bAbcya8oVjWig/yC3/u5o9Dig76H7exz/w4aRP6DP8EDrtt+tmEN6jMiz9fTmv3vs2nfbrwMEDeya9ZrOgypqnY9eQPvlmy6zGHtjud+9MzoZ3JueRJJwfotshezB76lyHkvP5DLr02t1x7uaWEcQf8GcmHc7yS1TWIQRpyiXhmJLrvFzISjaFzgd2Sio4IDOMAfM1Sj8jTKfrwbvT9eDdKyesx2ajeftmjL5rxFa6uxDzzuQqhfeqeQCmiW/223N5+bY3iJSmlZGJxnjl7rf47M2vkmdVOzRr4AgNEBE2rS/ikUueZeG8xaxZ9g8PjnmKSEnEed6XZoJMtGW46UumIvUHfRmpreLxNFd+yQw9cAshsJsZU88h9VzSZUv/Lp4um4iZgWPmlNlJRd+wmTN8QgwzH2bdHepQ24lGokx/9iMGtz+HUd3H8eW0r7e4S/72hFkZ3Mjq8nDimSsrQU00V15+1A3M/+Rniq1EyG7u8eE6YXbrsTO3fzCB0pII05/5kCevnMj61RuSOyrDEHx+H3FVDMMwkwHbd1HWY/fdUeauLDGu+c7NOPOmwQTDQZ644gUWzV/iXMMwQBOB4AnvRMut32cFbtvkcA0JsMIKygz+jle8Rl6dMK07tuSBL24mGonywX9n8eT4iaxdsY4eR3RjxA2D2Llbu8q+TTWCeDzO8F3OZ92q9cnE2+GCMF0O7sSNU3P3St0OqLK5skOXPH3gjXZZjT1ip588c6UNz1zpAcCCbxYlFRy4u8cXbyxm4bzFgOnRdvTIPjTfpRnX9r896V0Zjyvx0iiGzyASsXaETofH5LrpyiTuEkKQcMm/48NradKyEQDde3ehX50hTkWUDCEwY+bMuXFTcSXMhgnlJOIeElCObMnHabKlr1G0sZjFP5i5P/0BP0cMP4TDh/Ri/aoNNGzWAA8zSfSKP1Y6vtAUFxazoJpr59U04l6gd6Xw9rYeFG0sMsvBZEGkJOIIF/D5zF1bOm6u+y6DXNoym2KRGGuWrk3+vnbFenfTVkYIgfs9NncIQSwaY+PaVLjA0oUrmPved5u92vf2hGdAyg2FWh1CICIFInK0iOTsieXt5GoxkdIIE29+jcm3v5GspyY+wTAMfD6D5js3Y+mC5cRicbPIaFyJlkY5ucVIThzTl1PHD2CXPduxy57t+HXuQko2laZ2QLZsIiKSVCyCZdoTmz6zmwAt05/dBKgKFx98FT379SAYDvDxy5/j8xlm7JIVVqDx1NqqcescznmW5ggCT8pm3TrNTJkUyVU22xxJPZ/EDlEVBrU6m0NPPYg1S//h6/e/w/AZZqb8y/oz8JJ+uXjm1Tj8AT9Hnn4o778wk3hMMfwGInDiRf22tmjbMLXL8UREngNmq+r9IhIAPgf2AKIicoKqvpX1Wt6ZXO7UlDO5L6d9zbUDbncU/RSBNp1acdO08TRp1YhVf6/hymNuYuG3ixy7rFB+kCv+m6pY/cucBVxy6ARHcdMqk2a6TMSuOcyUbiEE1VxxwJUsvDXFsBSg/XXLC3Lre1dXWLevNrDij5VMuuV1GjStxwkXHk2dBgVbW6TNRZXtjLt0ydc7Xu+Q1djjd/52uz+TE5G/gX6qOkdE+mNWHd8HONNq75ntWt5OrhYTj8XxB/yUkFJyqtCpZweatDLPvxq32IEuB3Vk4TeLHHN9fp/Dw7DD3jtTr3HdSiu5bNz03b6QuYYQuGTw3+whBG7zJHOeP+jPqqBsbaBpmyZc8MCZW1uM7YZY7Qr03gFIlDnpA7ysqstF5AXgP7ksVHv2vx4Z5NfLT5opE4ghfPbGl45wgToNCgjmORMDF20o4qXbXmfhvMWUFpfy+gPvsPqvNWmZ/s3/Xn57CZ7y3PQdgmS66fsCvgwzX0YIAVYIQXrYQhkhBBkZUew/c5CtLPxB5/fISEmEfFssXTrrVq3nsf88z6DWZ/PMNS86zvY8ai+KEFF/VlcNYRWwi/X4cOAj63E+kNO3RM9cWQlqirlSVfn6g/k8ftnz/Pb1744/5uE6YVrs1IyHv77NjGl65iOeumoSa1ess7nOg9/KGejzWwlsLYXi8/s44LgeHDPqCGZM+oT3nvuYaGk0OdexAysnrCDR1nDHBgy/9iSC4SBPXz2JFX+sMqclQxNMhWquaym+tMoAjjM3K6zALkdKNiMV1F6ebLbzOHuIhCC06dSSoRNOYtWfq3nh+skUbyqhQ4+dOePGwXTp1cn1/Zgz/VuuPv5WUKW0OGJVCBdufnc8nQ/smMM767GNUeUt2E5dCvSGVztnNXbwrl/UBHPlPcAJwE9AN6Cdqm4SkVOBi1R1n2zXqjFq3yN3RIS9Du/Cg1/ewolNRrB+9cZkXyJcIB6PEwgG6HtWb7of3pkzO1+cLDeiSjLYO1LidLHf+4iuXP3yJQDsdXhX8uvmMeXuqUlF4SifY3PddwshCIQC3Pf5jTSzyvj0GtCTY+sMcXroqRVCgC2EQKwQgrRwCJFUwVO7qTMlW9xdtjRcKxko+MN+HvvuzuQusd85/2blklW03KV5Ge+EyW9fLyIWiSaTAZcWlRIMB/l93mJPydVyFKlt5sqxwB9Aa+ASVd1ktTcDHsllIU/JeRApjZSZZb1w/SbqNTQLoZrZRrL7oBVtLE56SQJsXLspc5CbEcEtMiAed4QtGIaRitxOm6vYM6e4jGHzhxBoXCktLiWUZ9Y1C4YCFSq41H2dv8diMVb/vabSsnjUHGpTNhNVjQJ3uLTfletatedV88ggFovx6r1TOaXlSEo2WTFcNh1m+AwGtzmHp8ZPpGhjEQ13bECnnrualQrEzLofzAvQsFmDZJXwxFnXT7N/44w9xvDira9xXs/LmTFplqM/w50/8dPlXCweV87b93IeuPBJ1q/ZQCDo58Dj9zHNeYaRrEIAmIourqmaqSJmNhTbve3nc27ndM6wAdsLVsaZXfpjjSsntxjJxJumUFriTJFWHt0P70y9RnXJqxO27m1WF3/p9je5tM+1/OYFS9daVCGmRlZXTUFM2otITxE5wH7ltI53Jpc7NeVMbs70b7mm/62OEAIgw2QYCAUYeetQjj//KMAMF3jhhldou3srBoztR92GdfhmxnyuPu4WR2HJ6sbn9zHwkn6cceNgABb/+CdXHXsLy35fWfHOq7rDClyqEKRvEEN5QS55cjSHnHxg1svGojHee/5jbj/jwYzwiWZtm/DcwgeqIrXH1qHKdsa2nevqFa9kV3JpVMePa8KZ3F7AREznk/TXT1U160BTz1xZi4mWRjNCCAAMMYjblILG4w4vzA5778y1r17qmNP9sC7Ub1KP4sKVlZLF1U0/LRQgFo0RKUnJ0bZTK/Y4oCNLF65ImyeZFQC2QBWCdAyfkeG9WhE+v49DBx3EnWc9nBE+kcuu0KPmUVOzmZTBw5hncqcDf1GF4lm16lXzSLFs0Qpef2Aam9Y7K3r7/EZGfHUsFmf6sx+y4NtFZrWCqXM4b7/LuWX4fSxduDw5Lq9OnqNKQMLUZ1RU2TpLN30xhE9enc0Pn/2cbMuvGyYQclaFjsfSKhpAMrtJumwVfsfONoTAbmq1KN5UwluPTOfPX/6u4CYpNm0oYvLtb5jr29bz+X3k1w2XPbGaSYSFnLHHGJ6//uWsqpp7bD6U7Aqm1qCiqXsA56nqJ6q6SFUX269cFvLMlZVgezdXPn/DZCbeOIVoNEY8GidRoDuvTh4njTuWOg0LeOH/prB2xbrUH3gxHSj8QT/xuFK8sRif34fPbzDwkmM57bpTWLFkFc9fP5n3n/8YRNi9ZweOObsPM178hNlT5xItjSZd9h3u/C4u/knczID5IfY4cDduefcqNm0o4tV73+HFW1+nqLA4mdpLjJSFUgxBY7EKwwVc5bCnJkv/rJS3O7T6DJ/gD/g5ZtQRnHPnaeW+L/M+/oErj7kJjccdKdL8QT+HDTqIodcMZMd2TctdozpYOG8xYw+5hmgkSnFhCaE8s1r8hCnj2LtPt81+/xpIlTVPm871dOzkfbMaO6bT+1mbK0XkaWAwYD9nuFRVH7SNGQZcAzQHvgNGq+ocW38P4EGgM7AUuEZVn7f1N8XcmfUBioEngcu1nAS3IvK1dZ/Psnke5eHt5Gohn7/5FaXFEVPBAah57nbnzOsZPH4Ax517FBP/eNipcBRKiyNsWl+UrFYQi8YoLY7w2Rumwm/aujEXPzqK5xYe5crVAAAgAElEQVQ+wENzbuW296/hXycdwIRXxtH3rN5AymU/oUwSj5M/M6zvmfKXbCrhmw/mA5BfN4/BV57AHR9cQyg/ZHpXGqltlVmFIOa4tz0Tib3Iq7rIlgwhyDKZdHpfPGbGvH32ZsVfin78/FciRaXJM1KNK4Ggn2HXDGTcU+duEQUH8NvXvycVHEBJUSnFhSX88OkvW+T+HpkoEFcjq6sSPKOqdWyXXcEdBDwEnAM0BF4B3haRelZ/feAdq70hMAp4WET2t63/gvWzFbAf0B8YV4FM5wM3iUg3yTDL5Ian5DySxC1lAKZ5LNv/W8WFJQ4lEC2NUlrsPOeLRWPp06qVWCwO6mKmdCGbEIIqHAFUK2JIteV0LNpYxLcffU8slsV7UU1PPxaL8e1H31O0sajiwR7lIMSyvKqZs4Apqvo/VS0BbsPc9fW3+k8AioBbVbVEVacDrwIjAUSkPdAbGKeq61R1IXALpjIsjxlAL2AuEBGRUvuVyxPwHE9qIQcP2J/fv/uDeCxONBIDgUhJlIsPvpr+F/blpEuOo06DAvY5qjvffjjf3Fm4FD5N/Fzxx0rO2H0MJ1x4NPNm/sAnr36BGMJOXdvS98zefPTyp3w743tzqlv2EVsGlYwNU/p9gWA4yN59ugKw4Z+NvHT7m7x2/zTTKUXSdolqBodrPJ4yV6q7HG6m1PTnWh5iCP6gn7yCMCVFpZRsKsEf8GH4DP51UsVez50P6ki4TphYNEZxYQnhghCBUIBOPbNLzFsWhes38cpdbzH5jjdRVQrq5zPi+kH0HnawazWEDj12NsNEDKFoYzHh/BCGz6DLwe6ZWtyIxWJMf+Yjnr5qEoXrNyEiDBjbjwEX9yO/bl6Vnk9tRIFI9g6FuXKiiJyAmUrrdeBaVU1khugGPJ2UQ1UtU2I3W/9cdZo65gJDbf3rVHVBWn87EamnquvLkKnakpp6Z3KVYHs/kwNYvfQf7j33MT574yuHWdIf9HPM2X04957TAfh17kKuP+lOli1aUXZaq2SDe+Ji1/OsinBRKmIIzXdqxlUvXcwue7YH4J5zH+fdpz8kavNiTK/WbTVWzsPSbU4ZsrXp1IorJ46hfec2zP/kJ56d8BLN2jRmyNUDada2SVa3Kykq4e3H32f6Mx9y9Mg+9Bl+CME0x5pcefyy53nl7qmO1yiUH+Sql8ayX193t/RoJMp7z33MGw9O47BTe3H02X3IK8je8eXzt+Zwwyl3OsJT/EE/A8b244z/O7XyT2b7pMrbq5Z7NNDRLx2U1djxnacuxTw/S3Ctqk5wFUxkb+BPYCXQCXgKWKCqg6z+BcANqvqUbc4zQERVzxSRJwC/qg639Y8ArlTVXURkqDW/ra2/PbAQaK2qf2b1pKqAt5OrpTRq3pC+ZxzOtzO+p3BdKhtJtDTqiHXbda+d2Ldvd16/f5pjvlumf0FcExdno+AynE408x4aV/bv1yOp4MA8n4umuelXaxUCt7yVZcj2rwH7075zGwA6H9iRW6dfnfPtQnkh+p/fl/7n962EsO6UFJVmvEY+v4/ScgrlmjXfDuPI0w+r1D1Li0sdnrZg/t8q2YxxlDWdHAK9/1bVFtkMtDuQAN+LyEXAhyJymmWe3ADUT5vWAEjszDYA7Vz619v63eYn+spERELAqcDuVtN8YKKq5mSu9M7kajGBUIBoJLMKwTcz5ieza/z+3WK+fPcbZ1Z/rEz/6V76VUyF5RQk003fH/QTDKd2Nb/OXci8j35wlS0bB5bqli0QKvs7o6ry1f++Zeyh1/Dk+P+yfk25n+9qJRgO4g84ZYtFYxmhF9VJIBTIOIf1B/wZ1Sw8skOBOJLVVUUS/7ETC30LJLf7lhPInlZ7or972hrd0/rri8hOaf2LVHVdWUKIyG7Az8B9wCHW9QDws4jkZL/3zJWVoCaYK8H0LHz3qRk8ddUk1q/eQMw6nwPzD2NBvTwK1xcRKS5NVsK2Y3fTT7rMu7jpO7P/G2gsXvG5lz21liGEwkH6X9iXky89jry6eVx59E189/EPZoC0PbDPOpMzjFRAuJmkOV5huEDqbDCzgnhZshmGQSg/yICx/Rg4th95dTLPmzauLWTMQeNZvnglxYUlBMMBxBDOvfd0jjr98IrfqCqycW0hL976Gq/d9w4A4YIww689maPOOCxjt1VdxKIx3n78PZ695iWKrZRxx59/FCdfenxNLo5aFlXWPC32aKhnTDokq7E3dH0tlxCCU4BpqrpWRHYFngGWquqJVv9BwDTgOGAmcAGmZ+SuqrpeRBoAvwK3YhY27YV5rtcn4f4vItOBdZiB3Y2s9Z5S1ZvLkesdzNftVFVdY7XtADwPoKpZmzo8JVcJaoqSSxCLxhjQ9HT3JMrZUMYZVWbmfklFYSdj2SqOPfMHfDwy7w7a7NYSgNKSCMcUDM48I0xzokg6s8RzN126OsG4YPgMXlj0II1bNipzzC9zFnDJYRMo2uAsKLt3n27c/O74im9STRSuK+TH2b+x56F7ZOzsNhfRSJRvZnxPp/12oaB+rVNuCaqs5Jrv0VBPn3hoVmNv7PZqLkruQ6ArEAJWYHpGTrA7hFhxchNIxcmdkxYntw/mLqsLZpzc1eXEyZVgxsldVkGc3EbgAFWdl9beDZilqnWzeX7gncl5YP6hTpSn2XzYFBxYj7P8gmWIw/kiFo2VXV3ACtwuXxKpOIwgSy0nQrlmytS4yv2dW/r7csIFYRo2TT/WyJ2C+gX0OGLLBnP7/D4aNK3nmSmriFk0tfp33ap6SBZjngWeLaf/S6DMSHVVXYEZapALUcDN0ykE5BSP5J3J1WJUlc/e/IozO1/scD4BUt89Xf42J/9gJ1P9k5HV3+7GLz5fUsGJIRm7OMdcl81ftDTK6B7/YfLdb/Hmw+8yfNfzzQ67jGJAPBXonbBQqKZ2eKmwAtOcCSR/2h9nmFJtc9Nli8eUMztfzJsP/6/M3JLN2jYhr044WV3AH/ARDAfY+99lK5zfv1vMVcfezJl7XMSQdqO56+xHWPnn6jLHb2vE43FmTpnNiN0u4MIDruSUliOZcs9USoo8x5PKEsfI6qohTAcesEyoAIjIzpgm0f/lstAWNVda9t9zMWMn8lVTtdpF5BDMAEB7krx5qnqAbcwumNve/YF/gLtU9Q5bfz5wP2agomBG4Z+nqkW2MeOAMZgePp8BI60AxaypKebKbz/6niv73kiJ3cuurA2Wm0nSZbNjP88y+8VUGvZx6e78WbrpG34DAWftOxHrnmXLkbin4/zN6nc9f6tADre2YDjAadcPYuDYfrgRi8b48MVPeeH/XmGPAzow5KqywwqikSj96g4lHo0lzzf9AR877tSMp368x3XOtsaX077m2gG3O0IIAuEAJ1kp4GoZVTZXNtt9Bz31v0dkNfbu7i/WhCoELYA3MJ1UVmF+4ppgxtgdq6pLs11rS5sr/8HMcZYHPOrSH1PVOm4TRcQHvAm8BxwLdASmicifqvqiNeweq70j5ovyGnAnZkoaRGQw5qHpkZhl1W8G3hCRbqq6eVNybIMUbyzGH/Q7lZzicNAAd2XmGkKQplhUzclOBZfIk2Vvy85NP5Fn0yGHYTiqe5uyuVchsK+f2uk575lBlrKVFkeS6c7c8Pl9HD64F4cP7lXmmATxuBKPxR3PKxqJZSTT3pYpsnKb2olYaeE8KkcNSr5cIar6N9BDRHpjxu8B/KCq7+e61hbd26rqu6o6ETMQMFcOBtpiJvbcpKpzMcugjwIQkTxgCHCVqi637MBXAcNFJGHbHQk8oqpzrXLqVwA7AdlFWdYwfAF/RvyUiGQoErfNfvbxcNlZCjKdVJx5JcteTl1CCFzuWZ0hBC6yiQhfvPN1uSbFH2f/yoQTbuPlO96gqNBdIcZiMWZO/sz19Q0Et58jdH/Ab3rr2vD5je3qOWxLmFUINlvuym0WVX1PVe+zrpwVHGx7Z3I+EVkiIstEZKrlSZOgG/CLLd0MmFvXxJjdMA8q56T15wGJuIpu9n5rrV9ta9Qquh/WmeHXnUydBgXk1QkTDAc4fPBB9DvnCMIFIXz+1H+PpJe+3XfEXknbrU2w8kna+n0GSScUt3M/e5u6tFmPfX4f4YIw/UYfwWGDDiQYDjhK+hi+8mVLnCvaHUIyZM9FNuDXrxdyWofzeXDMU9gp2ljEhQdeybjDJ/Dp61/w7ISXOKXlSD566VPHuN+++Z0h7UZzzzmPJWUTMU2hnXt15KqXx7K9sM9RezJ4/Ink18sjXCdMMBzkyNMPZ+C4Y7e2aNslZlovI6tre0VEThWRoO1xmVcu625LX6t+wgwy/B6oA/wH+EBEulhb17qYsRZ21gL1rMcJl1L7mMRj+5jy1igTEZmAWW6C5s2blz94O8Hn9zFw7LEcd+6RfP7WHPY4sCONmjcEYMT1p3B8w9OSY5POvo5jLhcPx+SZV2qO6cJvKjaz0kDC+cQyb6aZLtPv49YWj8WZ9NcjFNTLB+Co0w/j8qNvJB6PO87oRG1OKBWYK5P9ibi4LOSwVymIRWLEImZ82Oi7RySHLPn5bxZ+90fyfCqRUeadJz5w5LSc8795rFm2NrmLU1V8AR8nXHg0Z9w0mO2JQDDAoMtPoP+FRzN76ly6HtyJhs0aVDzRowykxu3SXHge8zhqhfW4LBT4b7aLbjOvmqouU9VvVTWqqmtV9XJgDXCUNaSs9DD29DGkjUk8rijFTFlJQu3yTVBVUVVp0SKrjDnbDcFwkA49dqZB05Suz7eUR+Wp4PygLJf6bI8dBEei33qN6uILpFdOUHfv0CxuUsXqHhkYbt6Zrvd1/u7z+WjapnG1yrIlCeeH+NfA/T0FVw1soYwnWw1VNaxjpsTjsq6cYim2pZ2cG9YWADDTw3QQkQJVTXhg2tPH/IxZkG8v4ANbfxHwi22NvTAdUhCROsCutjVqHfM+/oHHL3uBX+csoH7jegybcBJ1dijg6atMXx4370M3R4z0SgL2bCKOIG0BjcYRn6CxCtbF1pZmIlRVzupyMcOvO4X1qzfw9FUvUryhxFo34b2pqD0Li7VGIoQgo3irJbs9a0uusoULQuzSvb1jXJNWjSzzaojiwhIMn4E/6KfzQR0d43bq2gZfwI/hixMpiZqZUQTa7tE6m7fSowajCrFa5HgiIgcDn6pqNK3dBxyoqh9nvdYWDiHwAQFMJ5K3Mc2SYEbBHwr8gemUkg9cgunq30VVl1hz52PGSFyGeQb3LnChqk6y1n8M0xMnEXg4BZivqgnnlMGY3pYJ78qbMKPwu+biXVlTQgjmf/IT/+lzvaP2mz/gMz9Q6fXfXEMIyleAIoKKYPgMR9yZRmOuyqXCsAIXDL8Pw+dzOtCUFS5QUTXyxHOoRFiBiLBDi4aMfWwUPf69Z8ZOsLS4lHeeeJ9JN7/GbvvuwmnXnUI7F+W1Ztk/TLr5NWZM+oQjhh/CSeOOpX7jCq3pHts2VdZOjTs11qOfOS6rsc/u92RNCCGIAc0TOztbeyNgRS67uS29kxuKWcohQcKfuD2m88dTQGPMWLm5mPnPlgCoakxE+mF6VK7GPEu7LaHgLC7EjJNL7NxeAS5KdKrqCyLSEphKKk7u2NoYPgBQuLaQQMjvUHLRSAwjLftJViEECeWQdu5l1nLLPPdyjsvOTd8UhowzsYqqEKhqZgiBixyuVcCzlE1VOfrM3uxzZHquWpNgOMhx5x7Fcece5dqfYIcdGzL67hGOMz0PD9O7svbs5Cj7a249IKf8g1tUyanq09gK8KVxl3WVN/83oMyMtlZYwOnWVdaYWzGTidZ6xDAyqhAAxNNSylU9hKDiD2dlQwg0ce6W5pRS0byccHv+abIZPsPh3bliySpevu11mrZtwjGjjsi6FluiWsEHL8zkyNMPo+u/dq/280GP7Q8FojXf8QQRedJ6qMC9ImIPrPRhHkHlZEbb1s/kPDYj3Q/vzAljjubVe94mGokRLY2ajg/Wzi1ptpPULs2R0cQla3/icTAvSEH9fA495SA+f2sOa5atNXeMIqiaWklIrZ+sOGC7Z4Jkm2E6jWhc8fl9+AI+ep2wHxv+KeSbGd8TjcSsMjtWFpSkp2Wa2VIkmecykR3MfOh8boFQgJ26tWWnrm2ZMfETIiUR6zVK5b70+QxTjgH703dkb+LxOHec+TAfTppFPGZ6Rz533WRG3TGMvmf2Lvf9WPzjn0w44TZW/bmG4sJiZr06m+Y7NePaVy+l+U7NqudN99huqQXelQAJG74ALQB77bhS4CPg9lwW9KoQVIKaciaXoHD9Jk5tM6ry2ShcDAsde+7K3R9fj8/vQ1W5cci9fPTSZ8l+VXW49+d8SxFeXPpYMnHxF9O+5prjbyNqD0Auqxp4Fud9gZCfYRNO5pT/HA+YsW5DdjqX9aucdeDEEB6bdwdtdzc/m+vXbOCk5mdlBEI337kZz/56f7n3fPHW13nyyv86dqKBkJ9z7jyNfuf8u3yBPbZlqrwV36FjUz38yROzGjv5wIdrwpncU5j+FhV6vldErfhq4FE+BfXyCVVzlviGzeon0zqJCM3aOt3gRcT9f18OIQT2zPxN2zR2KQIqiGTeJJsQgkAoQMtdU/GQeXXyHCELCQyfQaMWDZO/J3aKlSV96uavDuGxPaDU/BACO6o6ojoUHHjmSg+Ldp3bUFT4C8UbzUBl16KiLl6KgKtzxhdT53Lf+U9w7Oh/88HEWbx6r1mwM+EAIkIqhMDCzSXf1SRqtY3pNZ4RNwxi3coNPPqf5ynaWOzMu2kFhbs5iZTn0RkIBYhFYjRv39Qh305d27J2xbpkMLcYQiwSY+whEzjjZrO+3eOXPW+aNG2vR7ggzM5d21b4HrTerYX1xUCIRWNmzTdVh7L1qL3UMscTRORQ4BTMdI6Ob+GqeljW63jmytypaeZKMB0pPn9zDvee+xirl/5Tvjkv6WqfckpxU4qBkJ9oVAmGA5QWm2VoRCBeRghBhRW5XTD8Pnx+H5GSqLVWZnUBMQSNOe+ZiIWzK8VEqMMJY/py8qXHZwQwqypfTvuGe0c/xvLFKx19/oC5a42mmynbN+X8B8+ixxHdstrhLV24nGevfYlZU2Zz6KCDGDL+RJq2ca9W4LHdUGXt1KBjU/3X4ydlNfaNXg/UBHPlMOBxzFCzo4B3MNMztgBeVtWzsl7LU3K5UxOVXILX7n+HR8c9R8RWG62yVQiAzGrdquDiNekWbJ1NCIHh82VXhYB4Vh6WdRoW8Orqp8sd8+7TM7j//CeSO7qyyKsT5vwHzqTP0H9VfGOPmkyVlVz9js30oEdPzmrs2/+6ryYoue+Ah1X1ARHZgBli9jtm9Zq/VfWabNfyDP4eSUqLS5k/66eMQPBtuQqBW4XvqlQhKCkqZfGPfybvP/OVz3n8sudZsWRVcoyIuIcppBGLxjz3f49qozadyWFWh3nbelwKFKj5B+YuIOtdHHhnch4W7z41g4fGPk20NOricg+J5MqOsAJczugsl/xAKEAgFKDnsT2Y+958ijYWmSbLOGg5CZrt53KC6arvFspg+Az8AR/dDunMxnWbWPjtYiKlUVP5GDbZkmEBAmL+nh4YnqhIrmiyCnn7Lm1Y/dcaCtdtIlIS4dV73+bggftz8WOj2P/YHsx5bx6zXvncMrNCp/13A1V+/PyXZFuvAfvT85i9t9h76FGD0Vp3JrcWM/MVwN+YpsrvgAJSyfizwlNyHgA8ccULFK51JhJIZeonuZ1L7tY0tYtKd0JRoO3urbhr5vWE8kLEojGuP/kuPnntS2uQZM5LTI+7rG+/p/U4Ho/zxA/3sWM70znk48mfc+OQeyBui3dTUOKprWhizfTdYFqWltKiUn75aoFTvkiMma98zoljjmGX7u25/LkLWHHjqcyY9An79+tBm44tATPW7fO35nDYoINo0qqR+4vt4ZEjSq1Tcp9jpn/8HrNC+N0i0gM4DpiVy0KekvMAyjI1ZomLc0jTdk0I5YUAs6RP604tIanksAK2XRRdljkrRSSp4ADa7dGaUF6QooR3qAiqcdfzRLezw2wwfIZjXtPWjTl5nDOfYNtOrWjbqZWjTVWJlEYJZoQ4VEw0Ynpq+nw5JV73qIHUMiU3llRu4+sxq8ccjan0LiprkhvemVwt5+8Fy7hp6L2sXbHeUWE78di1zWf7sNkSM9vbZr85h6evnsTKP1cz+a63eO2+aYhhZiKxtoauWf0TOTArkkPjyvh+N/HbN78zZ/o8bhh0N5vWFycznajtHunHYukZVTJIKF/7UzKEog3F3Dz0Xr545+uslKSqMvvtuYzsdgnH1hvKHWc9xIo/VlY4D6BwXSHPXf8yJzQewaDWo3j7sfeIlEYqnuhRI1GEWNzI6qoJqOoiVZ1vPS5W1fNUtauqDlTVP3NZy/OurAQ1xbvy17kLGXPQeGLRGLFoGV6Mbhn3s4xnC+YFiUZiBPNClGxK7LCsEIJsS+247bps48Uw8Pn9SW/QZLiAbZ5bWZ2E56bdgzNVasfIcHpxxr2F6HfOvxl569ByX9+Hxz7D1EenJ70w/QEfhs/gkW/voFU5sW+xaIyBO55JSVEppUWlyXu279KGez+9sdx7emyTVHkLVne3HbX7g+X/f0sws/ftNcG78kHgWVX9vKpr1Qy171Ep1iz9xwx8TlNwhmGkFJtmZuFIOH6kVwlPV0ilRaWoklRwQNLd3xEIXoaCSzcPAg7FqnHzfM0e7pCQzT4vUUvOvn5CsTmDxBPjy1ZwYFb2Xvr7cipi6cLljjCDaCRGIBRg7fK15c6LxeIUrtuUVHCJey5fvKqcWR41GbUcT7K5aghdgE9E5FcRuUpE2lc4oww8JVdLUVV+/mqBQwElyKoKgYt7v6tVIEtLQWVDCNJj5LKdlwtusv392zKKNlaQ69Pl7016sHgu9/SiEWo3qpLVVRNQ1V7AzsAzwKnAbyIyU0TOEpH65c924im5Wsi8j39gxG4X8NLtbxBLpsBKXckzscTnxa0t2U5GLJhpRky0aWablY/R0Zb4YTmkmE0uchjpciRCHFJKQMQgUYmgfNkqaJNM2RKvxZKf/uLkFiOZePOrlMWgy/rTpmNLwnXC+AM+guEAvU7cjw49di5zDkAwFOC0608mXBAmlB8kXCdM/Sb1OPuO4eXO86jJZLeLq0E7ucS53A2q2gnYH/ga+D9gaS7reGdylWB7P5M7r+fl/PzFb1v0nmL4LGVhaiMz80m0Sjssl5ukYulUzV3kZv7/bfgMpqx6koL6Ba79qsqc6fOYP+tHjh7ZJ6ewgk0bipj66HTqN67HYaceZOay9NgeqbLmqdOhuXa+77Ssxs4+8uZKncmJmc18FqZCaZ1w8LBSbF0DNMeMVRutqnNs83oADwKdMRXQNar6vK2/KfAw0AcoBp4ELlfVijMqpNbYHRgGDAaaqWrWGeW9T01txO0Pf5au+25kk5LLDOpOucGLCOLzEU/LruK2VtZy+CTlCCOCYjmdxDLPHO0mzaqkLbMXSnWVSYQeR3SjxxHdcnsyQH7dPAaOPTbneR41D1WIxTf7Lu0i0qpui8hBwENAf8xabhcCb4vIrqq63jIdvoNZ460XZmzbqyKyQFUTtbVeADYArYBGwDRgDXBLecKISBNMU+VQzGKp84A7rfWyxjNX1kKatmlMuCCU/D3pul9BuICrO38yE4rtBpKW9ithNlQzMNt08Y+b6bfspWSSFQoy72lUGN5gJJ1ZNK5WtpOE04nzv3n6mV2Zactsz8lnJWC2lyQSQ4iWRrl52H0s+n5J5iJbgNVL/+H+C56gb/6pXNrnOn7+Mrsduqry7Yffc/7+V3BMnSE8NX4i69dsqHiix1Zjc6b1EpEOwGjgkrSus4Apqvo/VS0BbgNKMJUewAlAEXCrqpao6nTgVWCktW57oDcwTlXXqepCTOU2qgJ5pgJ/AZcCM4BuqtpdVe9S1RW5PDdPydVCrpx4ERc8eBYNm5nnt8nTM/tf+8RDmz5wM23bM/2DdS5mDTMMAcPA8NsCmcU0ISb/42liUmoNt/vE3WRLrmmkqiHYPuNmmyQVpF15Gi6KMvFCJHdnCc9Sgd5DDuaJH+7i7DuGUad+Pna+ePtrzt3nP7z/wswMuTcnv8//g2G7nMfbj75HpDjCNx/MZ+yh1/DS7a9XOPehi59mfL+b+Gn2r5RsKmHynW8yuO05rPp7zRaQ3CNXzKRDWTuetBARtV0TylvbMlM+CYzDTKdlpxuQNE1a+SO/ttoT/XPV+aGdm9a/TlUXpPW3E5F65Yi1FuiHaTYdl4iZqwyeubIW4vP76DP0XxQ0yOeWofelKoLblFPS1d9ee83mup9uzovHMkMI4nFFrPI1CRKPHV6RiRCCtMTKjnskusSWbiyuGVUI4rHMenfJEIL0sAKbPPZ7pIcVtNujNZc8MRqA1ru1xB/w8+CYp5LhAfFYnNJYnL9/W8aWZOWS1QSCfgrXbbJkVUo2lfLHj39VOHfR/CWO8IbS4gj59fJYu3wdjVvssNlk9qgsOTmV/K2qLXJY/EJgmapOEZF2aX11gXVpbWuBelXsxxqTURhVREKYps3fczm3KwtPydVifIZLKRvSdk1UQwhBFr7v7nksKxdC4C5HhSKUif3cTVVZ8vPfREujlV+wGkmvGAFmfF40Es3ZUSUjIYDHNsXm8KESkV0wU2iV5aiyATOllp0GwAJbfzuX/vW2frf5ib4MVLVERDrjsCNVHs9cWYvZ/YDd2OOA3QjlBR2hAJJu109z0QccmU4yhruFBjhCCFKmQiNtnCNMwL6m2H46utUZ4pAuR3Ld1D3dZEuXQwwhXBCiXqM6nDr+RAC+/eh7zux8MW888C4x25eDcEGItru34uCBPTNk2Jzsvn+H1PuXeK4CP33xG4Naj+J/z3xY5tyBlxxLwx0bkFcnjM9vhjfse9SetNm9VZlzPLYumylO7khyJ8sAACAASURBVCCgCTBfRFZhmhIB5onIaOBbYK/EYDE/aHta7Vg/u6et2T2tv76I7JTWv0hV03d4dl4EBuX6ZNzwQggqwfYeQpDO7/P/4Pz9LqfElmGjukkVT7WHEMRNZ5Rqu0l6CAFYpQtyXsrwGxx9Vm/Oues0AkEzsfLwDue7miSvff1S9j+mx1arHff7/D84v+cVGYH9YghvF/23zB1dLBrjo5c+5cfPf6X/hX1psfOOW0Lc2kiV/2Pk7dJCd7pjZFZjfzj+2qxDCEQkH7Dbp1sBnwH7AD9hKrRpmNn/ZwIXYJ7dJbwrGwC/ArcC92B6WL4O9El4V4rIdEyT5emkvCufUtWby5HrBuA84Avrcnh9qmrW+e08c6UH7Tu3Ib9eXqWVXFYhBKpmrFxijgjiE+JpVr/qDSFQDMmsEp5NCEE4P0T3w7smFRy4F4r1B/10O3j3rVocNfn+uWSvKQ+f38dhp/bisFN7bSbJPKqTzbEfUdVN2BSIiCR0wjJV3QjMsnZ0j5GKk+urquut+WtFpC/wAHAdZpzcKFv4AJixbQ9jekuWYDq53FqBaIOBf4BdrcshNuApOY/s2Li2kFfufot1qzY4FEwy4bJLm52yyuVkhBDYFFwiUNtUfEbq7E3EPMJztJGR29If9BEtjeEP+IlGoinZojFzblIMda0Snk0Iwab1RTx37Us0bFaf9l3a8PoD01i5ZJVTDivhsj+49T9G9RvVpXBtoVmYFlP5+gM+V9Ovx/bJlkjZpaqLSD8QUH0WeLacOV8C+5bTvwIz1CAXOdrnMr48tv6n02OrsfjHPzlv38uIx5V4LO6MT8PFVyPhfelL7Y4SY+wemY7KBGJgGIZNkZhmSrMquKVgrDi2xBpqkyDd69IX8NFv1L/pPfRgpj76HtOe+oB4NG1XZinYpGwJeW1Pyk2JJ0jIsWj+H/ynz/XEYjH8AR+xaOo1MnwGvYcczJCrBybr5m1N7pp5PVPumcrkO94kFo1xxPBDOPXKE706dDUEpebkpcwVEWkGrKysp6Wn5GoxyxYux/D5KC5MuaBDWgiBraROsip3TFOKI+F2H9cMs5/GFfGLs80WhmBHJFNJ2k2eifFHn9Wb0XePAKDDIztTuK6Qj176LBWaEItnhhCkKTj7eu6JoRPhE1BaXIoYQomVWDnxGux7VHfGWmEF2wJ1GhQw7JqTGHjJsURLo9RtWKfiSR7bFbXJe8Iym14LnA/kAx2AhSJyC7BYVR/Mdi3Pu7IWs2zxSqIuhTgzzHduHvlu3v1un8IsP5nlBZrbWbNsbUrZxuOsW5kRZlPtIQRu+EPlfz+MxWJ8+saX/PzVgnLHubF25TqmP/tRpTKQ5BWEq03BbVxbyPTnPmLNsn+qZT2PKqCgccnqqiFcAZyMmTnFftj8JTA8l4W8nVwtZNH3S3hwzFN8/8lPRGzxXokdkJLaldkDvO07JMeuL+nJSLJNVS2ll5hrfp/SmKYKpgqmY4i9AGuiLWae2TnO5FT54p2vGdHxQg4e0JP3/zuLf6zabI7dmz28ISGHbR1w7lBd2wSCeSFEYIfmDVn99xpKiyKECkIEQwGOOv2wMl/fDybO4rFLn2Pjuk1oPM4u3dsz+u4RdNi7/OoDG/7ZyFPjJ/Lu0x+ar+Fo5Ziz+zBswsnk180rd251UryphOeufZk3HpiWPF89fMjBnHHjqdRvXF6SCo/NSS0zVw4BzlbV90XkMVv7fDIdUcrFU3K1kLvOfoQfPvs5Y3djVxKJLvuuqDzTXlltGrOClf1+QKx4LgNE0WjMrF3nUJKScgxxMS+WFpXy169LmXiTs8RNSjZJuku6ZTPJtk0Mg14DenLB/WeQVyePn7/8jZfveJO9enelz7CDHV6XdjauLeTW4fc5Aqu//+Rnbh56H0/+cLfrnATTnpzBO0+8T7Q0FeD9xkP/o03HVvQ9q3e5c6uTWVNm89r97ziKtr771AyatW3C4CtP3GJyeDipZdFerUkFnKeT0yG4p+RqIbGIS4mbzVyFADVTfCXniGD4hVgkPdN/FT7M9ormYoYTmGeHuVchCBeEOODYfcirY+6gdttnF8ZPuqhCEeLxOIbPl5E9JOEFWu7cWNz1rNItq8nmJB6LOxJiJ9riXkaUrYZS63Zyv2B6bC5Kaz8OM4whazwlVwupu0MdAqEAkRLbeVyam37yD79d+bkoQjGMzDMwtxACX2YIQbIKQdweT5cWQmBbszzFbIYyxG0dZltGbJuUEUKQtn7RhiJevv0NWu26I+27tCVbAkE/oA7nnUDIT50G7vXm7OTXy8Mf8BOLpnZQIpBfL7+cWdVPfr28jPc0GA6QX2/LmUw90lCgdim524D7rSTOAhwiImdjBqOfmstCnuNJLeTKiRdxymXHE8o3y8akf2uH1DmVo8SNpLVZFbjBqcTs48XvxwikTHuKaaZ0bJ3EADGsNcR2pfJGupXaMewB2EnX/oS20ozxlgCO55IqweB87qrw8xe/cl7PK3h47NMZz60s8urk8cCXt7DfMXsTCAcI54fof0Ffbnrnygrn9j3zcC56dBRN2zQmEArQYpcdufTp8zh00IFZ3786OOC4fbj8+QtpvVsLAqEAjVruwIUPjeS4847conJ4OLHXAS7vqglYRVcvA8Zjelc+jpnm62xVfbW8uel4ab0qQU1J6/Xx5M+4/fQHKdpY7GjPMD+67eB8PpczusxPmREIpBJPYu7i1MX8lmEyVHU1NabL4hqgXoWsKW7s1LUtj3xze87zVvyxkvx6+Vnt4uzE43GW/PQXbTq12qqZVFSVP378k1a7tfDi7apGld/E0E6ttMX152Y1dtGQKypVGXxbRUQaA0audeQSeDu5Wkzh+k2ORMNJstEPVYkXyHJmpb+AbSPf25q2aZKzggMo2ljMX78uozjHNF3VjYjQdvfWnoLbVtAsrxqAiAREJACgqqsAv4icKyKH5rqWdyZXC1m6cDmP/z975x0lR3V08V91T9qgiJBQAokgYTIGDCabYILJySZnk4PJ8JFzxuSMhACBDQKTTMZEAwYBIpskhBFCIJQ3TOr6/njdPd09vdpZJVarvufM2dn3Xr95MzuzNVV1q+5p9/HG429TKpR8L8rvOKIa2xHEm6+UFUibnU586r4rtWMcEgntHSohCOTFLMstIQgUmPuPE8gdxp8tUN5gm7FsXYZuvRqZ+fMsHEcpF8shAypilBSCJQQIpLNpRITfH7DpAv+bADTPauFvl/2Dh6/9p//a7H7yDux+4vadoqtKgl8QutgRTx4DngKuE5EG4C2gEegmIoeo6shaN0o8ucUQVxx0I689/BbFfCkUxw9R/2M6ggQ7gRC6RkPV4epoZc9SCadQcMfUbcxsI65auOMpEajjElDUJYYEHqujZwuMde/djcufP4f7/3crd39xPSv/dlhV8EiD5QbuD0uEdf+wFqMn3Myux283x9dzfuHpO1/kwaseo7WpldbZrTTPauH+ix/mxdGvLZTHT9DJsRh5csBawEvu/R2BJqAfpji8fZpzAImRWwxRaClUi57W+iXRI5t4uSJXOTyKoNAoUMWWFBFsu5q7L8LcZ8+j51AYNKw/K603DIA+A5dgo91+6zIgI48ZQa4xx2Z7brhQi5+LhVJMDlI6jUBrgl8aUuOtS6A7RoUAYAtgjKoWgOeBOXdViKDDRk5EsiKyi4ic6moJISLLiUjv9q5N0DlQ162OVCaSZ1HxGyW3iei8qinqrkWFIKKurY5DuaRVewYbNkf3bBdV5Q3CNx//jzefGIuqMuGT//H0iH+FuryYdRZ2KvyYLbNbefzmZ5g0fjLlcpkX73+Nw9c8iVtOuptpP8ZrPTbNbObeCx/i0FVP4PFbnqGQLzJt8nRuPmEkh695Ei/97XXK5bZr3rL1GexU+O9SzBd5esS/mPDpdzW8AAm6NJwab10D3wNriIgFbAm87I73JNzmq110iF0pIkMwlrQvbtNMVf1aRK4Cuqlqbap+izgWdXbltMnTGX3xwzx52/MUC+VKjssWtGRChV6Oy8+FieU3ZTbKAOaftX9tXPsvAbFTpqWX5/g5WumCooSvc++bnJw5h7dXMPfnFZqHxtwC7zhpoFxDFitlU8oXKRXLvgEWS+jWq5G9/m8XWpta+fsVj9Eyq8UcTY3igWUJqUwKVWid3WrydJZw9PUHsc1Bm/uv6TvPjuO8Xa9AVck3F8g1ZFFV97GEYr5IXWOOhp713PT2ZfTq17Pq71LIF3nqjue5+9y/M3taUyXfaFuk0jZb7rcJx99y2Px5EyRYmJh3duWQQdr/nGNrWjvhoFMXeXaliJyFEWediOlwMlxViyJyKLC/qm5Y614d9eT+Cvwbo+7aEhh/DOgw6yXBL4Ne/Xpy1LUHcdJdR5p/xl4+q1wxDp7x8AwcUJHXcbTSizLYyzJgyMydQD1aMF8QuO9/yQoQRiqGq2Kw/JxcwEt0XPKJuV9RKwj1ogRam/I0z2ym0FqsEnId/a3Jue39f7tx49uXksqk/WhpuVimmC/R2pSn1S2zKOaLFFoK/Oep90Kv6cevf0ZrU558c8F/zGK+5N5M0X3L7FaaZ7Yw8YtJsX+XTDbNjkdtw71f3xgad8oOhdYibzw+Nva6BIsHFrM6uQuAA4FbgQ1V1etcUcAUiteMjrIrNwA2ci1qcHwCMLCDeyX4hdHZayRrOV3N3cjaWBQktGRymdjC+Dg0TW9uf9FcIpVJz0uXtQRdFYvZG0JVx8SM3d3RfTrqyaWJd737Y9gvCRYBTPl+Kn89/DauOvhmWpvyVd1NvPCgP+YyJ70xEwaMjLm9Iv37LoKemj/sUva9vczCynzwHP7ZvJyeVuZzDVkyuQyZXJpMXSZwNg3tHWqMEungstfShzPmr09QaC3Qc8nuDBo2gFyDoeun0inS2RT13eqoa8yZa2xz/QevfMKxG/wfH732KQCrbrwSdY05svXZytnq0qSzaTI50/GlrjFHt96NDBw2IP4P4yKVtll145XI1hsVBMu2yOTSbLjLunO8LkEXh0ptty4CEVlTREaJyDsi8rZ7f/WO7tNRI/cScGjgdxWRDPB/wHPtXSwifxKRV0VkpohUUcZEZGsR+VhEWkTkIxH5fWR+eRF5XkSaROQ7ETkxMl8vIneJyDQRmS4id4pIXWTNySIy0d3jeRFZtgPPv0vgsn2v5+kRL5owmjp+jsyEJg1DqxKuBM8ihYVUrdC6kFpB8H6phFMs+nVzpjGzjVh2ZS+3hED9EoJKPDMohurBq4c77Mr9GPPzCB6YeBvbHLxZpdbNe+yYsoLo/OxpTdx1xmievutfZHIZbn73cs77x6msstGK/P6ATRn5+fU8/PMITh5xFJm6jB/SLRfLfPrG55y8+Xm0NLXy681X5W/f38Z+5+zOcmsM4ahrD+LhKSO4/3+3sPOx2zJs7eU45e6jGfXlDfTq22OOfx/LsrjyxXO5/PmzWXOL1dj0j+tz2wdXccz1B8/xugRdG6K13boCRGRP4B0Mk/JFjO1ZFhgrIn/s0F4dJJ4MA14FvsB0iH4eWAnj4a2vqhPauX4roDdQB9ymqqnA3LIYraA/A38HdgduA1ZW1W9ExHbnnwdOBVYEngaOUdW/uXvcDqwM7Iz5L/kPYJyqHuHO7w1cA2wNfAZcCmwGrK6qNbd6X9SJJ0evexr/fTuiYhHs4N8RqCJW2HhAtQqB2HZVf0vRMuVi+GWvtSWXZVs8U/yb//uET7/j2PXOoHlWS9W69lQIUmmbgy7em91P3H6Oj7nvckfxw/hwZ6FUJsVDk++goUfHO5skWGww78STZQZr/zOOq2nthMNP7grEk6+A0ap6VmT8fGBvVa25jKBDnpyqfg6shjE0z7rD9wBrtmfg3OufUdX7ga9jpvcHxqrqvapaUNX7gHepqMBuDCwDnK6qzar6LiYpeTiA67HtA5ylqpPdPmdnAfuLSM7d48/Arar6rqo2Y9RnlwVqZup0BWTrs1V1bDUbuOjHVSQ22R2rQhAoDVBHKZdjSgi8riPtQB3luXteplwq0zyrhWdG/IuW2S1V66IGTmyp2l9si3Q7St8A2brqnJ06Wv1azid8+f54ztn5cq457FZ+/PYnVJVxL3/MqVtdwB2n3cuMKdWq6Am6MBavYvD+wKiY8XvcuZrR4bZeqjoZOLej19WA1YEofexdd9yb/1xVZ0fmva6lw4FcZI93MV7jMOADd49rvElVnS0iX7jjL7OY4JSRR3PXmffz6kNvUCw6ePXXcfT74E+/dZblCpsqrso3YIkvmeOpeKMg6TRiWUYoFXBU0HIJvBIDS9CyS7Pw2nqJqzZOpKwgcrbrj7qDG469k3Kh7BvbYKPnoMcmlpDOptj2kM1p7NnII9f9k3LZwRJhj1N2ZOs5KH17OGfMSdxx+n288/T7WJbFgOWX4s9X7Otrzs0vOI7DWdtfyvsvfUwxX8S2bZ4b9RINPRtond1Ka1Oej179lEeuf4o/X7EvOx6ZqAMsFug6BqwWvIHpevJFZHxt4D8d2ahDRk5EdgfyqvpYZHxHIBXHhukAugHRKtvpmPDjnOa7B+aJrPHuB9fMaY82ISLnAucA9O/foS8SnQ79llmS0+85ll9vsRrXH32nT3uvaMlVjF2Q/BHMv3nGx8tRBXtPBsON4ubuQmHxoAJ5gJgSbhUWNrrBEgJvrGV2a7h3Jvh5P1WNhCRTXPXS+ay4zvIA/Om0nRj30iestslK5Opr6ws5ePhAznv4FCZ+OYkZP83kV+sNWyAqAaVimbefed9/niXHpK+n/zjDf40KrYZR/cK9ryZGbnFBFzdyIrJ+4NeRwJUi8iuMwQNYDzgEOL0j+3Y0znIO4fo4D83Mu3c3C4hm5HsCMzswT2SNd7/WPdqEqp6rqqKqMmDAnNlxnRGF1gLjP/o2ZGxy9Vksa+66i8T/c5/7f/gSc20t9iP2cx9znZ22Q4oA2bosv9lmzXYNXMvsFr79bGJobODy/Vnpt8PbNXCTvp7MzKmz5rimLXQdjlyC+QJlcWBXvobhfLwG3A0MwKSc/uneznbHRnZk046GK5fDyJJH8QUmtzUvGEd1QfmawAuB+WEi0qCqTYH5ce79/wKtwK8xbBxvviVw5nHu/D8ARKQRWCGwR5dDS1MrT9zyLKMvephCa4GBK/RnzzN24av3v+GR6/5JobVU6W5iV7r/RzueBMOVliWUS4HQpBfW9DqJuJ6UCR06GM5QACJuiDTgEcYoHzjlyuNncmmfVSmWRaGlECKVxCkTeKHLusYc3ft0o/dS1V1G2kLTjCbG/PVJHrrqccqlMsutMZRDLt2b1TZeqd1rv3xvPHf932jGvfQxIsK2h27BnqfvHNvlJA6ptM2yqw/huy8m0Tq71YRaMynEtrBEaJndip2ysFM262zVYUZ1gkUUXYU5OQcMXRCbdpRdORnYQ1VfjoxvCjykqn3aud7GMDE3xljmRncqjzGSHwIHAw8Bu2HUYKPsymcxirHDgWeA41T1AXf/24FfAbu4+z4MfKSqHjllb+BqKuzKSzB90VbrquzKG469k6fueMEPb4ExCJZtVZiNAmCFK6u9+4ExL9cW7KHsS9uEpGsinRdEsDIZ74H89VpyZX7imkVH3pY7HLUV+569O3bK5qGrH2f0RQ+3e41YQq4+y4l3HMGGu67bIV2083a7kreefNfvVgKQzqa47YOrGbRC2+Hqltkt7NrnIEqlsm9sU5kUQ1cZzE3vXF7z46sq7zw7jpFn3U+PPt056KK9GLra0rz60Jvcc/5DLL/mEPY7dw8GLr9oh84XE8w7u3LpwTrg5ONrWvvNsSd1iF0pIhcBe2E6WbUCrwAnqOq37vx+mChef8z/6CNVdWzg+rWBm4BVgEnAOa6ytzffF7gF87+2FbgLQyBcKJ02O+rJPQ1cISLbuwQURKQfxlg8VcP1+wIjAr97oc+hqvqViOwCXIV5Eb4GdlbVbwBUtSwi22MYlT9jcmlXeAbOxXHADVQ8tzEEZBlU9T4RGQg8iQlTvgHs0BEDt6hh9rSmkIED84kLUfcVE7gOGgmN/CRQd0Z4TKxILZpGqPuuGrikzNtNXBUDK2VRLkabJVeXEGTrM+x5+i70XNJEmvc+czceuPQfYeZkxCB7Zxu66tJsssf6dBSzpzeFDBwYfbnWiIp6FMVCyZBgAs+hVCgxe0bHOqSICOtstQbrbLVGaHzTP27Apn/coEN7JegaWICe3D3A5ao6Q0TqgQuBB4D1RWRD4GZMWdbLmP+x/xSRFVR1poj0wPzvvxLYCOPAPCIiX6mql0u7D5MqGoQxpE8DU4HL5nQoEVkZOAVTpgbwsXvOTzry5DqakzsZk9P62q1AfxtjjHq7c3OEqo708lqR2zfu/NOqurKq1rk/n41c/6Wqbq6q9ao6QFWvjMw3q+pBqtrTvR2sqi2RNZe719a7e0UKxroW0plUFcXdcWI+LbV8gIISO/5YxGvzHqOKuh9VG1CjSh7ZTz1jFUChpcBrD79FyTWIbabCYjy5dDbt/z79pxncdso9XHXIzUz6ejIAkyf8xDWH38otJ45k2uTp/tp0NlVVLlAqlKrUCqKwbQsnojQgYogvCRLMExZQTk5VP1NVj5AnGC2D4e7vhwIPq+qzqprH9I3MY4wemKhZC8b45FX1OeARTLkWIjIUI5VzsqrOUNWvMcbt8DmdSUT+ALyPYca/5N6GAe+LyDYdeX4d+uSp6o8isgawNybfBcYNvd+tO0vQybD/+X+kVCrz8t//bUJoZUPVtyzX05JKmDKcz5JKzgxFLDukLqCOA466NH2vU4oJQ4rtrlOw0mmwLL+hs1N2oFxGHccVUDV5wKAXVjlbpWPJXWeM5r4Lx3DOmJNYZYMVOWfMSdx60ih++u5niq3FqvKHVDrFWluuxmFX7gfAvRc+xP2XPAKqlEsOL45+lT6DlmDKdz/jlB3Esnj85ufY7cTtOPCCPTn6uoO57ZR7ePup97BTNtn6LPuftwdDVll6jq93Q48Gzhh9PLedcg8zp8yiXHZYab0VOPzqA+b3nzbB4oQFXAMnInthPLbuQAk4wZ1anQDRQ1VVRN4jXNr1robzXu9ionbe/IyIM/EuMEREuqtqW6S/C4GrVfXUyDkvBS6itsihuaazN+ntjFiUcnIe3v/XR5yx7UUU89HwoF3VqDkofwOeFxb5hqhOdWeSmBC7lcmGXC9VRYvFqnVVObU2Oqns+pftOPyq/f29Tv39Bbz3woehNZlc2kjhHLyFP7ZH/0OYNjleBy6Ixl4NPPLzSP/3iV9OYvyH37Ledmt1yBtzHId3nhnHEgN6sdzqQ2q+LkGXxLzn5AYP1oEn1CaIPf6EEycRLpg+T1XPreVaEVkKw4t4XVVfcjuPXKiqIwJr7gaKqnqIiNyJKR/bPzB/IPB/qrq8iOzrXr9MYH4oJgI4WFVjhRJFpBVYVVW/iIwPAz5Q1VzcdXFo91Pr1i685ebE5pjcUNV/1/rACRYuevTpjp2yq41cTLixeiyO3m88vKqxufzSJLSxX2Ss0FoIzXfr3UgUqbRNzwiTsUpxu0YMXL7/XJE7LMtihbWW9Zs9J0gwr5Da38Lfq+pc1Tmp6g8uge9rEVmatsuuPM9sFjAkZr69si1vri1MxZAIo8Xgw925mlHLV9PXgKWAH937MVkTcMdrp68lWCgoFoo8f88r3HXmaFqb8gERVEBxSwdMeLBSRK1+txDL7W4ilhUSMPVLCKqETivw2ZiWVBia7t0owSTY1cQ/R0AY1Vv/zzteQB1li3034cnbnuP1R94Kn8O2aJ7VyqX7XMe+Z+/OkFWW5t4LHmTGz7NC3mJdY45ioUQqnaK1yZBJcg05hq1dc0u8NvHdF5MYde7feO3ht0ilU+x20g7sety2SX/LBPOGhRd0SwENmJo0r+wKADHFoWtgmOu48ztHrg+Wdo0DeojIsm4+zpv/JpAHjMNo4A4ROQN4HfPsN8CEMe/pyJNpN1wpIssA37qx2GXmtFZr6F/ZFbAohStvPmEkT976HPmWQmhcvJ6TnuyN16Ir0vXEN1QiiGW5OTkx4UovZ+eqB1SVH3iwLJObC5YQOK76geC3A/PCmpU9K3sFjaKdtigXHey07bNE41iZqUyKcoDK7+3d0LOe4285jPV3Wps3H3+XkWfdT7Yuy8GX7MWvt1htnrqYtDS1stuSB1Eulf0vAplcmmVXH8L1b1w81/smWKQxz+HK3KDBOui42sKVX51yYs0lBGJaEh0J/N3lXAwCrscYshUwXUaeBnbEFGofiyEZeuzKnhhv63LgWgzD8lFgS49dKSLPYTpNHUSFXTlCVS+dw7nSGILKkVQk3goY9vzpWhFRbRftenKe4RKRLCZWe7uq/q/WB0jwy2LGTzOrDJxl2xVvDnwjElLyhoAem2ucnEpJgDfuF30HnbhoCYHjVJcQ2DaWaLiEwC8Ij5QGEM7NlYuO+7PCYtSAd+qhVChh2VYo5KmqbLDTb9hk998CsNEu67LRfNRpK+aLqOIbODAtuJJmygnmGQuum8m2wNki0oApzXoJ2EJVS8BrInIkcDuVOrltPcKIqk4XkW2BG4HzMXVyhwfKB8AQFW8BJmKYmXdhjGKbcI3YCSJyJqYJCcCXUbZ8Lag5k66qeRE5Abizow+S4JeDnbKrcmUVinuwJKBiIfy1gcC0b/wCCTt1mzDHxQKqQ5fVJQROqTrJUIvMTpuIq4yIiVR8/s5XTJs8nV79ejL9pxmMueYJcg05djp6axp6NPDDNz/y0NWPM3j4ALY5eHMyuQzjP/qWR659kjU2W5VN9vhtm4XlhhlaXXZpLyClggSLERZAuNItyN62nTWjiFcE8ObfxkivtTX/I5UGHR09XzPGsM41Otrx5ClglBq5nMUWi1K4ctLXk7np+BGMfW4c5aJjmhZLIByZqtSR1hxuGAAAIABJREFUiQiOOoijxvtxjZy4UjlBY6mOg5adkOKAX0IQVBhPpcC2wyUETtm/FjD3vc4pwbMFCDDefV+APBIaDZ7NUxxYfs2hDB4+kJf//m+KhSLlooNlW+ZmCUuvNIhvP51YUUIXGDR8IP/79DvKZcevMey7dB++/2oyxXyRbH2W+m45TrvnWNbcbNXY1/ypO1/gzjNGGw9alUHDBnD09Qez8vrDY9cn6PKYL+HKwUef0P5C4MvTT1jk9eTmJzpq5PbGdDe5GXgb05jZx+LCrlyUjJyHt/45lnN3voJSsNOJCFYqFVHOjuTXMKFHop5YuVxTCYFksqEQaGwJgcYXAdXE1oxp55XOpvjzFfux09GmZrRpRhN7LXMEzTM7HOkwDxGT79tw13U558GT2rymVCzx6pi36DOwN6tu9Ku5etwEXQbzbuQGDtalj6rNyH3xf4mRC6KjbRg8VstFMXMJu7ITY6khfUln02EjR7whCeq5uQNV+8X944/bq9ZPd+x+llSkfIIbBo9mVSt/p7Np+i/Xz/+9oUcD2brMXBu5uUEqnWLdP/y6JjHWBAlqQlLSPFfoaKJgJWBVTLfo6G1eVQgSLAA4jsOrD7/FmdtfavTXgrmhAE0fMAZEKpR9MIbG8csFqIxFjI/lhS2leixIVvT2tezgIJWQYfDsgZCm7w0GyDGptPlOlc6mKvtaFs0zW7jigBt5ZsS//FZgy6w8mFxjpX4015DDsi1yjdV1bMFzZOoyiAiZXNo/R7Y+w3KrtU00nvL9VK4/5k5273cwfxr4Z/5xw1PkW/Jtrk+QoCZojbdFFCLyosvWRET2c8mO84yajJyI9BaRxzEJwA+A+wFbVScEb/PjQAnmL+46YzSX7Xc9P4z/EagQQoyhMExGx3FzaQJCJS/mQxWnWMITOVV3fWUfrfTDDJBVHEfRYoFyoYD/6XMcJGWjGt4fqKiBx3iOIZfQvb/Ffpsw6ssbuPb1i3wJHMcNmc74aSY3HHMnl+xzHQCXPXsWp406hsHDB9B7qZ4ccfX+/GP6SI7660HUd68L7e89l0HD+nPBo6fy90m3s+tftqOuMceam6/KVf86j33O2j329W5tznPgsGN56o7nKbQWmfnzbO447T5O2/rC2PUJEtQK0dpuizA2BOrc+yOoLiKfK9QaS7kIw545ByOVcCSGEvr7+XGIBAsOUyZOJd8c9iKiJQRaLodCg2GCSZC6b7yi4OdIHcdtvxWm/VeXEJQQl5FoSggEy9IqNYSqInGn+hzqFrCfePsRgFE6P+bGQzh2vTNonlUJSbY255ny3c/mOVsWG+z0GzbYKUwC2/qgzfjy/fE8esPTofH67nUcdPHe/HqL1QA46KK9OOiivWgPhdYC5bIT6iyTb87z8/fT2r02QYLFHF8Dx7kERwF+KyKxHxxVfaXWTWs1ctsAh6jq4wAi8jTwgYikO1KUl2DhYvb0Jr75uLqkMZbMYbl6OcG5KKlDJFyo7e9XvV2V0kGV2oBWhTyh9hICx3H48v3xLL/GUFSVj1//jNbmahmcH/83hak/TKP3Ur0o5Is8O/IlZk2bxQ5HbOV3IIkr/i6XyqEj//DNjzx+87OstslK/GabNdssGBeR2BICay4KzGdPb+Kxm5+hZ5/ubLHfJmQCigoJFkMs2l5aLTgN48Gdgnm2j7SxrkP8j5rYlSJSBJZR1e8DY83AiuoK6y1OWBTYlSPOfoAxVz+OU1ZKxZLv/aQyKdbacnW++2ISP347hVLJ/ez4Bk0NxT/YJcQSkEhkWx2TM3MvDNnGQAmB2OK2BAuUEKiDljVUQoCom28zh/G7qUTyfBKYy+TSDP7VQJpnNDP1h+nkWwqh0gOxBNstGVhx3RX4+oMJlAol07ZMhD1O2ZF9z96diV9O4q+H3canb37uq4//bs8NOeraAxHL4ooDb+TNx9+hXHJI59IssVRPThl1DCutNyz2tf/7FY9y30VjTC7TEnr17cFxNx/KWlvWruI98pwHeOiqx402nysZdORfD2CLfTapeY8EnQbzzq4cMFiH/Lk2duV/z1u02ZVuk+jvMe3Efopbo6oTa96vRiPnAP1U9afA2CyMovb4Wh+sq6CzG7lCa4HtGvep8orqu9cx8vPr6dW3B6rK/Zf+g/sueTTEuFSnbEoBQkbLqvbE4koIYiBuMbp/nSugGt6sjYx5THlA1ZIYVmYt13l4uvAAdsp8Kfzy/fGMfXYcm++zMX0G9AZg3Msfc+YfLqE1EvLdaNf1OPvBE9vct7U5z3N3v0SfQUuw3nZrdahVWCFfZLv6vas87iUG9OKB726reZ8EnQbzx8gdWqORO3/RNnIAIrIJRgmh1O7idtARfvODIhLsD5UDRomInwRR1SRH10kQ18E/15ijV98e/vyyqw8hU5ehVAxT6y2xfAKHu7h6f8syBjH6mDGyPTWdN8ZYxZUHRA1Y3PO0YtifcYYverbl1xjK8msMrTqbna6OjEQfM4pcfZbtj9hqjmvmhLjyiUQVa/GFsMiTSjoEVX1ZRLKuVI+nDP4RRru0MIdLq1BrCcHdwHhM7zHvdi/wZWQsQSeAnbJp7NlAtj7jj4klTP1+GlcceCPff/0Dr4x5i+uPuYvmmS0RNqOrOhDXLNlbIa7iQGy5QGXQsgMqBIF1Zi7w1vPUDeyw0fGUEcxjQipjmzZlkT2C6t9+eUPobJZPavGQrc/SvU+3eCZnAEv070UxXySVqXwfzDVkGbRCx+V3aoWdsujWK/z3yzVk6b9s3wX2mAkWAXTxEoIgRGQ48BmmWfSm7u1G4DNXU672vRLR1I6js4crAZpntfDYjU8z6ry/UyyU/De/nbZRLDK5jN+42UrZfg5LHTWSNShOuVyR5nHXefksv7Gy31arDU9DHcS2ELtiJNQluKjnpWlYtifUzss90yob/YpDL9uHTDbNXWfez9hnx7H+Duuw//l7MGPKLG49cRRfvPt12CP0vLegFyfGKB5w3h/Z/ojfU9dYR3v46bufGX3RGJ6+60WWXX0IB1+yN2tutso8qRW0B+/vd/+lj9DQvZ4DL9yT3+25QYeEWxN0GszzG6Wu/2AdenBt4cpPL+oS4UqPYbmXqk51x3pjnCtUdY79NkN7JUau41gUjJyHS/a+lhfvfy00ZmXSVR24JKbhsJbCxNlKj8oIoqHAGDUBse3qx3BK1U2aY8KKmbo0d39xg58nA8N+9HJpABM+/Y5j1j2dltlhhmVcGPT3+2/KySOOinkic0b0MRcGyuUyImK80QSLKuaPkTuwRiN3SZcwcrOB9VX1g8j46sBrqtqt1r2ST04XRr4lz8SvJlWNO6WyabAcbd0Vqs9uw5rF/LOVmM9w1fU1lhDEGdFivsT4j8Ik3qix+WrcN1WSQm0hGKIs5Iv8844XeHH0q5SjhJgIFraBA7BtOzFwCYDFohg8iBKG9xFFFpjzBzWCJPbRRTHmr09wz3kPUswXqwghgqLqIFhY2SxYVkVEFYViyS3ytv2cmlhWRQVAMdc7ZTcaKH43FAARC69Vl4hUGJYSp0IQOVuASCJUlAfO2/kKhv9meU684wgGLLeUv/6bj//H1YfezNcfTAipEGTrMjT2bqT/0L789z9fUi6VSWfTLDW0HzsfayIdT9z6LHeeMZpSoYSIcMtJozjq2oN8rbkECToVuo4BqwXPATeKyF6q+gWAiCyHEWZ9tiMbJUauC6LQWuDWE0e12cHf7yJiCVjGO/El5EqOH2asXC+VeW/IcSpjvrJp4HdvnUsOCYY6vVxcXAlC8Mxe5y+nrORbCnzw8ic8fsuzHHbFfv6av1/5KJ+++UVoD8u22O2E7dn3nN2xLItJX0/mydufZ+3fr87qm67s59KuO+qO0BlaZrdy7RG3JUYuQedDFyKV1IjjgMcwRJMpmGe/JPCuO1czEiPXRVFLB38gRCzxx2ooIbBsC6e08EsIomviDGWuPstK6w/3w3z9l+3HIZfsXdM5khx1gs6KLhSKbBdu45G1RWQLwNOq+kRVX+joXkmwv4vhf/+dyKX7Xu+qC1T+vOKxIAP5KJEwTR9MYxMn2rarqoQg7rr4cgHVsLqAX0IQpO57oc0YFYJoY+an7niep+58gWLBkGL6DFqCbH2lWblYQtOMZm458W7ee/FDfp40jZuOH8EfGvbmtK0u4POxX/H9Vz9w6X7X+x1ZgtfOnt7E9UffwZTvp1a9trWitTnPmGseZ5c+B3Lwyn/hjcffSYxngnnHYlRC4EFVn1fV691bhw0cJOzKuUJnZVe+OuZNLt33OkrFcsVARJ05z2MSk2fDtrEzGd9AGVKKV0LghDwsSdk+c9IpeCUE6hvPKFNSxBhIK2Ub6ymAozilchX7Mny2yrkty/Lr9rz3aq4hS+/+vbj78+txHIc3nxjLbSeNYuKXP4Q800xdmlKhjJ2yKOZN3i2Vtv15rz9l9COQchXBr3nlfIattVyH/gaF1gJ7LXME+eY8rU1597w51tx8Fc7/x6kd2itBl8G8syuXGqzL710bu/Kjqxd9duX8ROLJdSFM/PKHioGDKs8N3A7+mTSSShlaP+AUCkZyxw0/iiWo6wWGuv+XDGHEKZaNBZNKri5k4LxaN9eIOaUyTrGE4xtf8evyomeLGmanKj8IrU15XzrIsizW32Edzv3HKdQ15kKh10KL8fY8RQBVpVgwfTw9JmXcd7xSoUQqbTN5wpTY13lOaG3O0zyzxTdw5rytsY2yEySoGbV6cYnPUoXEyC2i+PDVT3nunpcp5OcsAhHnqWvZCf93FyCdCiuAt+XhV3UIifzu9aFsL0LQVs1djR9SdZSfJ1VUOCZ9NZlizGsRDb0C4XxjG6hqJ9YBxD3m3HyVL5fKvPS31xn73Lgk3LmYQzpwSxBGQjxZxPDJm59z3ZG3M/ELU/92819Gst+5e7DT0duwwU7r8MK9r/DDNz/6noQgqEQMiqcCYFtYjY2QyVRChU4ZbWlByw6WbbkqAILYcSUECo5XMqCoU47vjWxZ7ofPLQ/wjYBUfnhNSqSS27MswU7ZDFllab799DucsuN7YpYt7LfcUay33VrMmtbEx69/FvLivOcTDHN65QlCpUwBwf/dK1nI1mcYtvZyrLrRih3++3Tr1cjWB/6O50a9jOMoqbRpRbb3mbt2aJ9n736J20+9l3xzHlVlycFLcMwNh7DmZqt2+EwJuggWk+85IpIGNgLeU9V5FmJMcnJzgV8yJ/fn1U9k/IfhwuhU2mb0t7fQq19PVJV3nnmfM7a9uN29JJPB7tmd4Pc/zefR1nzYE2tDhYAo07EU41VK5PtlW4oDMeg3ZEmueeUClhy0BE0zm7nwT9cw9tlxVTJAtWrQ1YJ0Ns11/76I5desbtTcEUz5fipjrnmCfsssyTYHb0a2Ltv+RS6KhSJ/qKtWIegzaAnu//aWeTpXgl8E8+xg1fcbrCvsWVtO7oNrF+2cnBhGWytGym38vO6XeHKLGOLCaHaqQqYQEVbfdOWwMreHNksIYsYC5QfGA4qusXCiKgSxBmfuSwgGrTCAJQctAUBD93pW32Rl3n3ug5ACQKwKgV2bCkEcsvWZeTZwAH0G9A7V83UEfh/RyHOYlxBqgi6AxcQfUVUVkU+AwRhhgHlCkpNbxNCzbw8ydZXu9HbKhBSz7thP3/3MDcfe5TMjPfglBCGPLKa1liXtlhBATAmBCOpEShQs8dmYwf39OX9hgHQSuPaj1z/ln7c/TyFf4K0nx/LoDU9VnaWqzABTPB49W5SE4zU6DqoLpLNpuvVurHqu/uugyriXPubY9c9gn6FH8tyolykV51nuqgq2bZHOpkgFJH4yuTQ9+tTcri9BV4OCOLXdughOBC4Xkd+64cu5RhKunAv8kuHKltktPHrjMzxw6SMUWotstOu67HfuHgxcvj9vPjGWC/a4CsdR06oqpiO/T7EXQVIpyGRI1efcjBQ4ra1QLJkslZvT8hiR4vZuFDGlBm5yDjD7lksl8zCuIfIey2sJZq7Fz6n5nol/NqvKwOYacz7b0c8zBvJ20ecXX1QuvuK3qlFi2OqA37HNIZvz3N0v8fSIf2FZwo5Hb8MeJ+1A9yXijcmFf7qGt54c65+jrjFHt96NjPz8OtKZefocVuHHb3/i3gvH8MK9r2CnbHb9y3bscvwf6NarbSOcoNNi3sOVfQfrsD1qC1eOu3HRDlcCiEiRsBMWChupaoYakYQrFzHUNdbxp1N3Yudjt6F5Vqsvggqmj2OwhMArsFanQjxxHMWqqzM9J93/+uWmFuNhecbBMt6hOqVAyy5FiyXEtg1JwyshcIyxiysO90KoxugFSg7EhEirz1Zd29fqqgqUChWPyftiFjJm3jEjBs4Ut6v3FADYePff8pdbDwNgxXWW54AL/oSdsqnvNmfZnf++/WWoNKBldivFQolCS2G+G7m+Sy/JCbcdziGX7E06l6auIa5XbYLFCQui44mIXAZshwkNzgaeBE715G3cNfsB5wD9gQ+BI1V1bGB+beAmYBVgEnCOqt4bmO8L3AJsicm13QWcrjpHmvMh8+UJkhi5RRbZumyIzKCq/DD+R6reN3GeulN2i7ODYUQbtBwpLYiplA4awzmihhKCuO+38/mDHPf0MwGRVVXli7Ffk6nLsMoGHWdTzk/SSxza8ioTLIZYMG+1MrAPRnW7JzAKGAHsCCAiGwI3AzsDL2P6Rv5TRFZQ1Zki0gN4CrgSw4jcGHhERL5S1Tfcx7gPmAUMApYAngamApe1dShVvXt+PcEkJ9cFMO7ljzni16fw3D0vh/NuEvhc+GMWWiyh+QKUikgmjdXYgF2fw2qox6rPAQqOYrkacGLbWLkMVi6LlU4hmbRbFuB6YSJmXxTwirepVAgE2Jleng4J1PAFc3ES/mnuV6610zbpbIpBwweQyaWxUpafa4t6kpGtyTXm6LFkdzbfeyMA3vrnuxy44nGcs8sVnL71hRyx1il8+Oqnbb7OOx2zDdn6DJm6DHbKIpNLs9Gu61LXjgeYIMH8wIKQ2lHVM1T1PVUtqupPwA0YFW4PhwIPq+qzqpoHrgDyGKMHsAvQAlyuqnlVfQ54BPgzgIgMBbYATlbVGar6Nca4Hd7u8xVZUkROEJGbRaSPO7aBu2fNSDy5LoDzdr2SWVNnB0Y09MPcV+O9UfFuVCysbAaohBG17Pieml9f5rXlCl7ryuWEHqfsVB7SuxPoigJuIXpQpSByzpDagRu61MDgkFWW5oJHT2XJQUswafxkztjmYiZ+8X3ovOZ84RClWMI+Z+3Grsf/wSednLPT5SENuS/fG895u13JQ5PvJA67Hr8dWx3wOx6+9kl+/HYKe56+MwOX7x+7NkGC+YrK98daMEAkZO7OU9Vza7x2cyAoVLo6MNI/hmE+vueOe/Pvapjc8S6wb2B+hqp+FZkfIiLdVXVm3CFEZDXgJeBHYFmMcZ2CCXmuANTWcZ3EyHUJtCf26aOWEgKPABKkq8epEMQoBMzvEoLoY6jCGpuu7JcV9B/ajxXXXZ7vPv8+fF1MCUGuPssGO/3GN3AQ35mkvdeysWcD+52zR03PKUGC+QWhQ17a96o6oMOPIbIrxnPbJDDcDZgRWTod6D6P87hrYo0ccDVwh6qeIiKzAuPPAAe0/SyqkYQrF2G0NLXy4FWP0dqUr+oDCZFyAZEqAwfE1JNVlxDE5c+iRBOoEF1Cj69hOr/fFiyiLlBlHKW6Lkws4eW//5t3X/gQx3F468mxvP3UezHqBdESAigVS+QaTA5z9vQmRp3/oGFoBi5NpW3qu9eTIEGnhNZ4mwuIyO7A7cAOqvpuYGoW0COyvCcV4zS3895cW1gbuC1m/Hug3xyuq0LiyS2iGP/Rtxy/4ZmUS051TZzf0ioQrhN3zLYqqgIiOPk8di4b+GwopFJIueyrFXghRnEFVsVcbK4JqHFrxBIaqr+DiIZLCIjRrCPizQXPHWBTTpk4lbN3vBQQxBKffRndw2OFWrbFapusxMEX70WfAb356PXPOH3rCyusTlugrKQyKbY6YFP2PnO3jvwZEiRYaJAFVO4lIgcCVwHbq+rrkelxwK8DawVYA3g4ML9z5Jo13XFvvoeILOvm47z5b1Q16uEFUQIaYsaXw5BWakbiyS2i+PaT71BV8s2G0h5SC3DvezVqoZyboz7JRNJpxFGc5lY0X0RbC+CoKRNIp43XJZifCloqocUiTqFowieeG6QOTrHk5t8qJBHPI3TKDqjj9sx0x5yAYQ7S/6v6PVd/sPPNBSNlEzFwodfB/bHsaktzxfPnsOJvVgDgq/e/wSk75FsKZllZsVIWe56+C8ffcpgfCk2QoFOhVi+ug3ZQRI7FMCO3ijFwYLy7XURkcxHJYIq0cxhyCe7PehE5WUQyIrI5hoxyG4Dblut5TGF3d5c0cipwaztHewo4RSohGXXJJxcCj3fkOSZGbhFGbfT1mDVxHwY7XFIgIrE9Kz0CynzB/P5iGpP+K+RLIUM5ddI0ytEwKEJdY1KHlqBzY0GwK4FrMbmxf4nIbO/mTarqa8CRGGM3A9gD2NYjjKjqdGBbYHd3/nbg8ED5ABiSiAVMBN4GHgUub+dcJ2M8yPEYo/oP93534IyOPMEkXLmIYtg6y9Fjye6IzKJldmtY3NQLVwbHPA0328YpFk2pQToF9XVIfZ1fE6fFIrTmK/OKUQ3ww6GGvaKFIuKU/bo8sQUtuSKrSkgBIPZsIXWAMJsyuC5bn6GxZwOzps42xklNaUP3Pt2YNXU2pXwRK2UjAt16N9I8o4XW5rx//aQvf2D/FY5h+yN+z9hnx/HBK59QLpb9+VxjjlxdhtU3XWnh/OESJJhLLIiWXeqFXua8ZhSmfq6t+beB38xh/keMd9eRc/0gImsCewJrYYzkdcB9qlodwpkDEiO3iKL/0H6M+vIG/v3o21z4p2soFyusQJ8+HwphOkjKLYL2InqWheUZOACRMAHTu2NFvTcBp4xTDjARTYIu/JgxnUkq1P7gusjjufd79evBBY+fzvC1l+OHb37kvgseIt9aZN+zd2Pw8IGM/3AC95z/ID379mCvM3ahz8Al+Oi1Tzlrx8tomt4EQLFQYtLXk7nt5Huq8nsAR117IFvss3GIdZkgQafEgknJdVq4xmyEe5trdKpwpYiMFJFi0G0WkSMja/YTka9EpFlE3hKRtSLza4vIf9z5r0Rkn8h8XxF5WERmichPInKZyPyMwS08WJbFhjuv6zdnbhfRfBemhCA0poYUEros5rueWFbVhy6O4VkrqlTCVVl2tSEMX3s5AJYa0pcT7zySM+47jsHDBwIwdNVlOPvBkzj2xkPpM9Dk0lbZ8FcMWqF/dacToSq/JyJsue8miYFL0PlRY6hyQbT++qUgImuKyCgReUdE3nbvr97+lWF0xn/ud6tqY+B2kzcRaDFzBNALGINpMdPdnfdazIxx5w8HbhGR3wb2v8/9OQhYF8MMOnkBP6d5huM4vPrwWxy1zqncdPwIpv4wjWKhyFN3vmDIJ+3YF68Tf3iMkNCoty7Kegx2L/HP01YJQYxFjBsLL6jOL6YyKeq7V/Jk4z+cwDk7X87p21zIf9/+EoCPXvuUkzY7lwv/dA3/++9EVJU3nxjLt59NrDa4apiWwTPZKbvWMr4ECX55LMASgs4GEdkTeAfDpnwRUxi+LDBWRP7Ykb0Wta+wfosZABG5AjgaY6juJtxiRoHnRMRrMfNGoMXM8i59dYbboPRM5tBH7ZfGzJ9ncdRvTmPGTzNpmd3K+I++5YlbnsV2ZWLKJccUdQfp/NGcnG2ZDlzRPF2+gORM1xNQ1BKwbXDzXz5CHx51Q5gK5UBezfsZyasFxyrKBNF8ofracJlchh2P2po/nboTAJfscx2vPfIWpXwRVfjglU/I5DIU8yXyzXks2+Lfj/6HTF2GcrEcqhu00zZDV12aXY7dlrefeZ/XH/kPiLDy+sM5+JK9sW2bBAk6OzpYDN4VcCFwsaqeFRwUkfOBi4G/1bpRZzRyu4rILpgWLo9iWtJ4bJ9fpMUMgIici+nETf/+C7eV06SvJzNziiGYABTzpiN/uez4BdNOXN7LUax02tgnL9+mit1Yj9q2G3JUaMkbw6ZupVsqhdoK+ULoHOo4UCyC4xDqDKmOX1TuRAgm0bM5gbP5NW2BPF22IcvZD57Ib7Ze07/mrSfHUmipnKXQUqTQUlEhd9zXoVgohcsRgKVXHMjN7xgi15b7bcqP3/5ES1OeZX41qIZXPkGCzgNZwM3AOxn6E092uQc4qSMbdbZw5fXAikAfjHe2CYaS6mFBt5hpE6p6rqqKqsqAAR3umDNPaJ7VUkV7d8/U4b1EpKpcQAFN2bTLs1IlKiOuUJ3/mgfYthWSvCmXy7W3LYtBtDSg79JLJgYuwaKHWkOVXccOvoFhVUaxNvCfjmzUqTy5oEYR8LGI/AV4SUQOcDtgt9UixvPMZgFDYubntcXML4KZU2fxt8se5dEbnyLfUqii5Ae9IV8MlXC40ikaj0dSNppKY9fnjFFSB7UtNJdFenU3YUoFmpph+mwol31DqKpQKkHJk+gBLZfBVSvwuo+o4/jnCJ+tIoYaF670xuoaczT2bGDgCv0pl8u8eN9rjDjzfgqtxdDrkqlLk8llKeaL5Jvz2CkLy7bI1mUplcq0zm4llUlhWcKGO7fJbE6QYJFCF1L9joWIrB/4dSRwpYj8CmPwANbD6Myd3pF9O5WRi4H3Z/V8jF+qxcwvghuPvYtXHnrTFwytCJhW1vghwbgO/CE6P1h1FQVwADJpWKIHGpDmAdx8XOAgpZIZ8zdzw40xZQBxSgBBIosTdzYgW5fh5BFHscHOv8GyLN58YizXHnkb+eZKmFIsYamhfTnzgb8wbK3l+Oj1z7j7nL/Rc8nu7H/eHxm4Qn/+89R73HfBQ6yw1rLsecYu9BnQmwQJugTx2pvzAAAe10lEQVS6jpfWFl7DTe0Hxs6KWTcSE7asCZ3KyInIn4CnVXW6iKyA6af2WKD473bgaRG5G3gVOJbqFjOXi8jJmEr+jTBklC3BtJgREa/FzEEYAb9aWsz8ImiZ3RpSxIZIf8cg2vkAqGpVLYBXQhAS2FawrXAX/2B9mQfLFpxipHNIzLqazuYoSwzszUa7rueP5VsKVaQQdZT1d1iHYWuZsoJVNliRK54/J7Rm3W1/zbrb/poECboaFgPiSYd04mpFpzJyGMr/TSKSxegIPQKc602q6mtu3dztVKTYQy1mRGRb4EbgfIwUe1yLmVswLWbyGCn29lrMLHR8PvYrPn/nqyrD4fd3nJs3fMTQCa5nFenYHy0rUK1+TC3HjM1lcs6ypKrWL51JUS6Hc3GptE0mlyZBgsUO8zv53QmhqhMWxL6dysip6qY1rFnoLWYWJsqlMqdtfSGfvvG5ycN5uTK/TWnYY/LzdLblNz8WyzIdTjyvT8DOpCvrPdHSUhlmNkO3+sr+tg3pFBTcPFgbHywl3JrLM3ht5QZj23qhpDMp1tlmTQ65JKyB+Jtt1+Tgi/fi3gseopAvoo6yw5Fbs8fJO87rS5wgwSKJrp6Ti0JEemPycH2JkCRV9a5a9+lURi4BNM1o5qPXPqvk4SJd9YNjYtvGsImFSXuJ29kDM6ZgN9ZDOo2kzJ9aVZF0GkUQy0LyRTQ/A9I2FMsmz5ZKobaNTp8ZYlOqKloq+YZPzaDrErZdQtBWW69MNs3+F/yRPU6qNlypdIqdj/0D2x3+e959/kNWXn84jT3jlDcSJOj6WNzq5NwyslFAPdBMOHalmAhcTUiMXCdEew1C2lwsUh3KtKxQ70lTQmCHPjACUCxXe21euNCX1NEYz27uP3lW2qZXv55zXJPOpJMcW4IEsZ+9Lo0rgTuAMwN10nOFzlYnt9ijrluOpYb0JRcj/eK3qvJsTrls7I8qVjplbqkUttuL0UrbOM2tODNmoS2tJurZUAd2yoQkbdsUiafT5vdMGrUstDUP02eA2zBPHQctl8Ax3fst2y0iD7A9vbN5Lby80oHQuan0yszVZ7EsYeiqS8/X1y9Bgq6Kxax3ZR/gunk1cJAYuU6HdCbNHR9fw+n3HEtjz4aQgQi2wfLH1EHSqfA6jPBpsLpbyyWkvh7FKwR3i8JTKddUuWOFAtrU5NbB4Sa8HYIemyGihHXA4xiffr4uGGrFGL19z92DBybexvJrLBBCVYIEXQ+LVzH4k8DG82OjJFzZCWFZFuvvuA6rbvwr3njsndBcVQmBR0SJ1MSZn8GxmBhohCjiXWxFSwgsMWzK4BltC6c05xICX9Ymwg7N1mfZ46Qd2nj2CRIkiEMX8tJqwRHAaFdT7gMg1BHCJSDWhMTIdVJ89/n3fDXum2qafhseU7ud/tv4ihctFyCuhCDmMZ1y/DlqQalQ5J1nx7HWlqvVcO4ECRKg+M3QFxNsAWwKbA1E+/opc2DYR5GEKzsZyuUy5+9+JYetcRI//e9nLPFyXZU1wfyXfz+Qr7NsC1K2GRNzs2wLzeep5NEUyiVoacFvzKyKWLavAu4bIDeSGR2rnKP6bJlcmn5DlmSfs3djyMqDydRl/GvKJYfzdruSQ1b5Cz988+P8eukSJOjSWMxycldiGJR9VTUdudUooGmQeHKdDE3Tm3njsXcouUrf3ntWo96cZSHpFCqWW3MG2IAlKILlhg6tdBpSKcQTBs0XoFRCC8VKeUBzC07KNrVxjoOxlBblQjHywGrSfMESAsI+ouf1rbDWslz98vlYlsV+5+zBZfvfwAv3vuJ7e62zW5k84Sc+fPVTlhrSd/68eAkSdGUsXuzKPsDVqjplXjdKPLlOCLFi/ixxYqQpOxzusyzEroyJCJJJQSqimVYuVakJkC+Ea+Igvlygxg9a7/69KuxKEXr1i/bFbuN5JkiQIBaLmSf3BLB+u6tqQOLJdTLkGnP07NudWdOaaHX14xDXWNiWYT26CqXl5jxW2kbtFHbP7lDnStTk8+jM2WZZs7tHLmNUCGwLJ5NFMkChiBbcriquwXHKZVMf5xo8Q2pxjZ+bH4wjv3hKA5ZtkUrb/GrdFQCY+sM07r/kEZ649Tl3P2MnM7k06jgMHr5wZYsSJFgk0bWYk7XgNUyP4baIJ6Nr3Sgxcp0MmWyaUV/ewIujX+P6Y+4i31IIdQlBrHA3kbKDtdQSSCZdcbJyWZgxK+z9lcpIKh1u1JxKmZKBgMESBadYaQpdadullXReRNE7uG6tLVflsKsO8DXbDlvjZJpmNPkdXDwvc5fj/8DuJ+5A9yW6zYdXLUGCrg0BZPEinlzn/vxLzJwCNRu5JF7UCZFKp/j9/puy5marVJcLRLwodUxNXCR15s9V1jkgEllnPK8g4sbEoupbpGVbVeUC9d3rOOjivUOipM0zm30lczDMzUxdhoMv3jsxcAkSdACiWtOtK0BVrTnc7PZ3qCAxcp0UUyb+zIRPvqsajy8hqGFDjV/oRHNzMY8RX0JQfV2pUPLzcB7iSgRKhRKfvvVFeydOkCCBh1oLwbuGjZuvSMKVnQyO4/DXw2/jhXtfoVwuV3fyl4DygGWhgJNvxW6oBzymv6AN9dDSYtJobomAFgpIJlPZE6r2NEXeVIrMXSVy3LUhBQR3n3Q2RTqb5o+n7MiQVQaHns8Zo4/nxuNHMOOnGRRaiihKuVTm5M3PZdlVl+HsMSclwqYJErSL2klfXQEicsac5lX14lr3SoxcJ8PsaU08e/dLlIuR+ke1fGMEILkcVrcGaGgwYwqUy0ZGx1Ekm0EzaZjdBMWSGS+W0GIJB9Bi0UjteLAELYWbNKvjljGEQpzhUClAjyV7MOKza8nVZ6uez/o7rsN626/FRXv+lVcerMj65ZsLfPXBBN574UO23HeTuXy1EiRYfLAgmJOuUPVRwOpAvaqmIvNbY8SrlwW+Ak5Q1WcD88tj9Dl/C0wDrlHVqwLz9cANwM6Y7+BjgKNVtaWdox0a+T2N0RBtwWiN1mzkknBlJ0RciE8sq6pcwGqsD/exFNO3MrSP24Q5REIpFMIGDtBiaa6/KTb2qI81cJWjWgwaVs2itO3k7ZcgQc3wlAjau3UM04CbgOOjEyKyLPAwcAnQw/35iIgMcedt4HHgU2BJYAfgVBH5Y2Cba4EV3dsw4FfA1e0/VR0auQ0CBgKvA8d15Akm/2U6CVSVd54dx8lbnEepUKp0MLFtrLocpFJYmUChfz5PacL36LTpOI5DsXcdLSssScvwfpT6dTPGrrUVzRcqj+E4phC8HNaIE69Fc0BSR6QSkvTgzYfybgITPvmOy/a/nklfT27z+Q0ePoBMXcYntaQyKcplh/7L9uv4i5UgweIGNezKWm4d2lb1GVW9H/g6Znp/YKyq3quqBVW9D3jXHQfTQHkZ4HRVbVbVd4FbgcMBRKQO2Ac4S1Unu4LVZwH7i0i1zEr7Z/0B+D/gio5clxi5ToLHbnqac3e+nK/HGQV4VUV8w+Z6Ym49m1EYMNdpUzOtg7tT7tNgVAUsi1KfBlMnl6+Ulgig+UJFXcCD44RLFNzsdazgqfst0VGvhg43VaD86/7XOWSVv/Djtz/FPr8t9tmYm96+lPV3WIdMLs1WB/yOkf+9jlU2WHGeXrcECRYbLHziyerA2MjYu+64N/95RA4nOD8cyEX2eBeow3h1c4M8xqOrGUlOrpPg50nTyLdUvC4U7HSKIIfRED+sSnE2pk6ObDq0znEUyk5kzIlRK3CJJkGmZKCw24NXwB1aE7muXCqTrc8wc+ps+i69ZOxzXGalwZwz5qR2XokECRLEoQPlAQNEQhm881T13Ll4yG7AjMjYdGDldua7B+aJrPHud2cOEJFotxMBBgAnA+9UX9E2EiO3kFEqlnjhvlf5edI0djhiKxp7NtDS1Mrnb39VtdZxHLDCJSGxnf5rfO/HXRtXQuB5apXraturVCwnqgIJEiwo1G7kvlfV+dFKaBYmFxdET2BmB+Zx10wP3Cewpi28hvnPFv2H8jrVpJQ5IjFyCxEvP/hvrj/qTgqtBcqlMqMvGsNKGwznsze/pFwMlAt4NH1HEdu8t705K5sxzEi3c4kC9pSZlJfq5auE44D2bERmzHaZlxqyg35pQCUFV3lMSyplB8F1rhdopSxSKZs1N1uVH775kckTfsIpO4glbHf476tKCBIkSDAfoED199EFjXHA7yJjawIvBOaHiUiDqjYF5se59/8LtAK/Bl4MzLcAn7fz2FE1ZQf4SVVbO/QMSIzcQsXtp9zLjCnhLzDvPfdh1Tq1bSSVArcODkvQVApJpw0RRHM4aQttzOH064XYNnZrGZpbsGfnsafONl24cjm0qZlyvmD6UXqIiJtCpVyASveuQMsu/G+RqbTN3Z9fT5+BS6CqjHvpY754bzxbHbAp3XsnHUwSJFgQEBZMNxOXIZkGMu7vHiEkj9FsO1lE9gQeAnYD1gL2c9e8AkwALhaR0zA5uMNw2Y+q2iIi9wLni8hH7jXnA6PaM1aqOmH+PMPEyHVKSDqFSJDBKFh1Gf+bnIhAXRYZsASV8m+wmoqkps72rZSImNBjlGziFZbORWgxW5elz8Al/P3X+N0qrPG7VTq8T4IECTqImNTCfMC+wIjA71792lBV/UpEdsHUyd2FYWDurKrfAKhqWUS2xzAqf8aEJK9Q1QcC+x2HqZPzPLcxxPejBEBENq7l0Kr6Si3rIDFyCxX9l+3LjCkzaW3KA2BZghPsZgKmD2VrAUmncCwL7dOd0gpL4dRlyfw8G/t/U5FCCWtGEzq9CbtvD8q9u2EXHWxHoEd3aMmjLS1oax6nJV85gCpiRTuXeOSTcF/MbH2GQkuRTF2afLMhxOQasvRdus9Cfc0SJEjAAgtXqupIYOQc5p8Gnp7D/JfA5nOYbwYOcm+14CXic3EQCDLRAduVlBAsRFz6zFkcd/Of6dHHhPWiYUHECqgLlCkO7Uth1aVxGnJgCaUlu1HOpUxdm2PCF/aUmaQnzyI1u+C+NQSpz1KeOt2ofnsw0t+I+96plAsEwpLuY6ezKfY5czcemHgb+537Rxp61tOrXw8Ov2p/rnuj5kYDCRIkmI9YTBo0DwaWdn8Gb0OBSzE5vokd2TDx5BYi7JTNFvtsTLFQ5KbjRvgenbE14S8u6ihWj3qcQFcQB0gVy+EygLJjvL/AmOMoOOESAtwelVE2ZVUJAbDZnhvyp9N2BmCPk3Zg1+P/AAK23aHm3wkSJJifWPQNWLtQ1SoDJiLbAZdhSgjOB/7akT0TT24hw3Ecvnrvm5D8zJzWVo3F8/lre/C4S2MeI6rYbafsxMAlSPCLosaWXl3IEIrIr0XkRUxrsReBFVT1MlXNt3NpCIkntxDx9tPvce0RtzPjp5kVA+Z2DUEkpDSACPaUWeiSPXyCiKpSXqoX1oQpfshS1YFZs6FbozFOrkModVm0JV9REChrSNnb61TiDYolZOsyLDWkLzsevfXCfWESJEgwZyiwmIimishgTJ/MPYFHgZVVda61uRIjtxBx3VF3MHlCpO1VIFSpjqK2hTOoD+XBfaCxDnVAymWsgkOquYyQxll6KfhpGtaMWWixhLYWYOYsyOVAHZxpM/xvdOoE2pV4P2JadSFw7E2HssU+GycF3QkSdEJ0gXxbuxCRS4FjMbV2G6vq6/O6Z2LkFiLixEeRSMTYEsrDB4IbMhRAHMg0B3JxIpDNIEHNAQWdOQstFUNhScuS/2/v3qPkrss7jr8/c93NbrKbO1mSkJAECRRJQkyQQulRC8rRRk6kVQQOUoWaAwWLAavBIJYeOKA9VbFILHJpOWgLHjhUQFtCW0Url0QgRiC3hhhy2YRssux1Zp7+8fvt7uzmwuzMbn7Z3zyvc+ZM5pe5PN8lyzPf60NhwDfAnlWdxWpqs8w98yRPcM4dq6ogyQE3EGxjaAVWHu7/R2Z2Xqlv6EnuKGhp3s+/3vk4u95sLhqSFMnaGiyRRFYg394JmTSp4yeT2NGO1afpqksFm77HpOhqSJE5kCP9dic60E5iz9tYPhhmLOSDvXCWyx0071bIF/qGRCFcfDKg+KmgvbWDf/jLe7jqzsuYPX/gYQPOuUgZweKx+HuAIT5m2pPcMPv9hre4at5yrOe0fxGWz6lFyUSwFSCRIjG5HiaMg2QCGSTacpAV+THp3nm2XGOGxKa3yOxq7d0YqkQCa2sP5uiKhh6Dg5bDHlu/nl2wmrL4xJOehPeb/1rHtWev4IpbP8XS6z56dH5AzrkSxGtRyeGY2eVD/Z6e5IZZ87a9pNJJ3mnp2y4giWQq0TuMaGaQTgfHeBXNm2lUX4KDYGVl+p2uficfWMHACgdVCQAOGpJEHLRdoHgLgRWMrvYutrz6ZsXtds4NsSpIcsPBk9ww2/b6dro6ug66fsj5uRKeExQ5HXixxGBKrCbgnDvGGJA/+ic0x4EnuWGy+dWtfPvq7/Pa8xvIdYdnRwrIJMllEuTHZkgdyKHuApZNkKvJwWhIdgp1hSeP7O0gnx0FyQQFAfkCuYn1ZFrDrQEWFDdVOo11d/dtF+gZFg2HLNPZNEommDpnClvXbyOfy5OuyZDOpJjQNI7tG3fQ1dFNTV2W0ePq+chffCCSn5lz7nCCERs3eJ7khsnd19/PK/+9vt+11lPH0z53PG2njoeEyP7+Heo27ebAGaNpmzsKgPrX8jQ91olyedJtRmpPO931SXKpAumNu0i2dgRz0AoO6Cp058JhjP4FUXu3CwCLLpjP8vuuprauhu0bd/DI3z/B7Pkz+dClf0Q6k2bD2s08dtdTLL5gAWcteR+JhJ8R4Nwxx0ddyuJJbpjkcwNP/oeW82eQa8j2Pu48vo7Ws5L95t3apicgn0NFe8XTe9pI724OqoD3fkA+7K0VbSswCGrs9D0tk02z4EOnU1sXVNBomnUc13zns/3imj1vJtev+nwFrXXODavqWV055Pwr+zBpnNhApjYTPEgk4PhJHPd8jklru0i1FmjMtrN80S95/tyHuHXuc0zJtpI6YEz6FRQa6ijUZTGBdXZhe/aSb+/A8vneObRUNn3QHFsqkySZGnD8lmD02Lqj0GLn3LCqsmO9hor35IbJ8h8s4yff/08e+Lsf0zpjGolkEnIwalee+Q3buX3ZT0kmRTqZ4xNNG5i4pZM7Hj4HTFhCMCpDfs9e2Lazt+ybKFDozjNmciOXrbyIphMnc//KH/HGms1MOH4cV3z9k6Rr0tz75Yd4a9NOTjhlKp+97dMsPH9etD8M51zlPIGVxZPcMMnWZrnwmguYvvg93LLiUdrCmmxWMKY3tZAgQTrZDUBKebZuacRyfeOWBTMSbe0UzHr/bRfyRu3oWm56+DpOP/dUABaedzq7tjYzYeq43rm0sy9cxK6tzUyaPsFPMHEuDswOUfzYlcKT3DB7e+f+vtWVxVTmtzKzg4YkBxYylcTkEyaW9/7OuWOT9+TK4klumGzfuJNVK37IC6t/S27qJMgEm72VEK+sn8zOPXVMGNtGbbabjrYkp8zaQcpOJk8ak6ipTVM/dzptr2ykkMvT2dZJpjbLjNOmM/MPpkXdPOfc0eZJriye5IbJXcv/mZeeWRfsY3v9TRKjasidNJV8TYItXeO5dOVFLDp1Gx8/+ZesfnQsP//3RgqF12B8A4nJ41j5zc9xxqIT6e7s5sl7n+E3q1/loi8uYe7iOVE3zTl31JmvrixT1SU5SUmCMuqXAzXAT4GrzKx5KD8n15Xrt29NbR3kR4lCtm+o8dfrprH2jl2o+B/vnhbS7R0sXDwLgExNhiXLPsySZV7jzbmqZQS1I92gVeMWgi8BS4DFwNTw2oND/SH1jXWkswO+Q+TypJJ9P/JEQpBMkEz1XUumktTWZ3HOuX7yhdJurp9qTHJXAreb2SYzayGoX/RhSTOG8kP++q4r+PPrP0ptfQ3pbJpTzpzDrTcs4eMfmU82kyKTTnLmGTP526e/wrl/dhaZmjSZmjQfuPgP+dZztw5lKM65kc4sOJi9lJvrR9V0QK+kBmAfMN/M1hZdbwEuNbPHS3mfhQsX2gsvvFDSZ3a808nu7XuZNmdK77WW/e20tXcxZXJD77Xm7XuRxPgpY0trjHNupKh4H09DcoK9v+5jJT336QP3vWhmCyv9zLiotjm5MeF9y4Dr+4r+7pAk3QysBJgyZcqRntpPTV22X4IDaBhTS8OY2n7XJjSNK/k9nXPVx7yXVpZqG648EN43DLjeCOw/0gvN7GYzk5mpqalpWIJzzrlDK/FIryoamStVVSU5M9sHbAUW9FyTdCJBL+7lqOJyzrkj6jmguZSb66fahisB7gFulLQa2APcDjxtZlsijco55w7DAPNjvcpSjUnuNmAs8DyQBX4GXBJpRM45dyTmRVPLVXVJzszywBfDm3POjQjmQ5FlqaotBENF0m7g/4AmYHvE4QyVuLQlLu0Ab8uxqJx2NJtZRUcWSXoKmPCuTxyiz4sTT3IVkGRmFotaNnFpS1zaAd6WY1Fc2lFNqmp1pXPOueriSc4551xseZKrzNeiDmAIxaUtcWkHeFuORXFpR9XwOTnnnHOx5T0555xzseVJzjnnXGx5knPOORdbnuScc87Flic555xzseVJzjnnXGx5kiuDpKSkOyTtlnRA0iOSSj1X7pgh6ZOS/kfSfkm5qOMpl6TbJa0L27Fd0ipJI7bUuqRbJW0O27NL0r9Jmh51XOWSlJD0nCSTNDXqeAZL0n2SuiW1Ft2WRR2XK40nufJ8CVgCLAZ6fmkfjC6csr0NfBe4LupAKpQnKJc0Hjid4L/JDyKNqDIPAvPMbAwwg6DQ78ORRlSZLwBtUQdRofvNrL7o9t2oA3KlqbpSO0PkSuAWM9sEIOkGYIOkGSOp+KqZPQ0g6Y8jDqUiZvblooe7JX0HeCiqeCplZr8reiigALwnonAqIukkYBmwFFgTcTiuCnlPbpAkNQDTgRd7rpnZRmA/8N6o4nL9fBB4OeogKiHpYkktQCtwLXBztBENnqQEcC+wHNgXcTiVWippr6TXw6mK+qgDcqXxJDd4Y8L7lgHX9xX9nYuIpKXA5wgSw4hlZg+ZWQMwhSDBvRJtRGW5FthhZo9GHUiFvg2cTFDP7ULgXGBVpBG5kvlw5eAdCO8bBlxvJOjNuYhIugj4HvCnZvZS1PEMBTPbIWkVsEnSdDPbG3VMpZA0G7geWBh1LJUysxeLHq6T9AXgWUmXm1lnVHG50nhPbpDMbB/BQoAFPdcknUjQixvRQ2QjmaTPECS4j5nZ6qjjGWIpoI6gKvVIcTYwEXhVUjPQ86Xj5RisTCyE9148dQTwJFeee4AbJc2UNAa4HXh6JC06gd6tEDVAJnxcE95G1C+vpL8C7gTON7NfRB1PJcLl9ldLmhQ+ngrcBWwBfnek1x5jfgTMAuaFtwvC6+cBD0QVVDnCrTaN4Z/nAN8AHjezjmgjc6XwUjtlkJQkSGyXA1ngZ8CVZtYcZVyDJelyDr3UfuZIStiSDMgB/YaOzGzELQ4IF2s8QTDMV0cw1/ss8NVwgdOIJGkGsBmYZmbboo1mcCQ9S7CoLAvsAn4M3GxmPj0xAniSc845F1s+XOmccy62PMk555yLLU9yzjnnYsuTnHPOudjyJOeccy62PMk555yLLU9yzjnnYsuTnHOApAmS7gxPme+QtEPSM+FpF8P6eyJphaQtw/kZzlUrP6DZVb3w6KxfEJwu8jcEZZQywDkEFQB+RXCs1mDft8aPfnIuWt6Tcw7+keDIpnPM7BEz22Jmr5vZPxGcu7gjrO/2v5JaJO2R9KSkk3veQNIMSSbpEklPSWoDViiwStJGSe2SNku6LTwztOdota8DJ4SvN0k3H/WfgHMx5T05V9UkjSM4PPirhzqLsKcnJilLkIzWE1Sc+BrwhKRTzKyr6CW3ATcCnyc4rV7ATuDi8P69BNUSuoGbgB8S1Cr7NPC+8D1ah7aVzlUvT3Ku2s0mGNH47ZGeZGb9DrIOe2B7CBJTceWDu83sXwa8fEXRn7dImgUsA24ys3ZJrUDezHaU1wTn3OF4knPVrqSyQpJOI5ifW0BQIbrndSfQP8n9+hCvvQK4CphBUFkghU8VOHdU+C+aq3ZvEAwrnnK4J0gaBfwHQWL7DLCIoBSOEdbiK9I24LWfAO4mGJa8AJgP3AKkhyZ859yReJJzVc3M9gJPAleHBXD7CReIzAcmAV8xs2fNbD0wjtJ6gecCa8zsm2b2opm9QdCjK9YFJCtohnPuMDzJORfMj+WAFyR9StJcSXPCebc1BMVYO4FrJM2S9EHgWwQ9uXfzGnCapCXha68Flg54zibgOEmLw/16o4aqYc5VO09yruqZ2VaCubYnCIYS1wI/By4DVgIvAZcAfwKsA74BLCcY5nw33wMeJKjAvgZ4P8HcXrHHCIYzfwLsBm6opD3OuT5eGdw551xseU/OOedcbHmSc845F1ue5JxzzsWWJznnnHOx5UnOOedcbHmSc845F1ue5JxzzsWWJznnnHOx5UnOOedcbP0/6+0TQkKUrtAAAAAASUVORK5CYII=\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", "ax.set_title('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": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Price')" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diamonds_subset = diamonds.loc[(diamonds['carat'] < 1.3) & (diamonds['price'] < 2500)]\n", "\n", "fig, ax = plt.subplots()\n", "hexbin = ax.hexbin('carat', 'price', data=diamonds_subset, mincnt=1)\n", "sns.despine()\n", "cax = fig.colorbar(hexbin)\n", "\n", "cax.set_label('Observation density')\n", "ax.set_title('Diamond prices')\n", "ax.set_xlabel('Carat')\n", "ax.set_ylabel('Price')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although this hexbin plot is a great way of visualizing the distributions, it could be valuable to compare it to the histograms for each the plotted variable." ] }, { "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, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n", "fig.suptitle('Distribution plots', y=1.05)\n", "sns.despine()\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", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since visualizing two individual 1D distribution together with their joint 2D distribution is a common operation, `seaborn` has a built-in function to create a hexbin plot with histograms on the marginal axes." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/joel/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/joel/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 42, "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 more 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": 43, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/joel/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/joel/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 43, "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', \n", " joint_kws={'cmap':'viridis', 'mincnt':1},\n", " marginal_kws={'color': 'indigo'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choosing 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, a sample data set is loaded from the `seaborn` data library in order to illustrate some advantages and disadvantages between categorical plot types. This is the same data as was used in lecture 1 and contains three different species of iris flowers and measurements of their sepals and petals." ] }, { "cell_type": "code", "execution_count": 44, "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
\n", "
" ], "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": 44, "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": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LIilU1fKqSlVlYmJi3OFI0gZrQSQFSVI/TAqSpE6vF5qTbAxsCmzWTm/RLvpLVVWfsUiS/lbfNYWnA9cCXwY2bt9fC+zccxySpCn0mhSq6sNrLhhPeq3oMw5J0tS8piBJ6pgUJEkdk4IkqWNSkCR1TAqSpI5JQZLUMSlIkjomBUlSx6QgSeqYFCRJHZOCJKljUpAkdUwKkqSOSUGS1DEpSJI6JgVJUsekIEnqmBQkSR2TgiSpY1KQJHV6TQpJNk7y1iSXJlmV5DNJtu0zBknS2vVdU3gF8GjgfsAd2nkf6zkGSdJabNJzec8CXldVFwEkeTlwYZJlVbWi51gkSZOkqvopKFkKXAHcq6rOH5h/JfD0qjp1mm2XA69pJ68BfjqHoY7bBLBy3EFonXn8Fq4N/djtXFXbzbRSn0lhR+DXwK5V9auB+RcDr6yqj/cSyDyXpKoq445D68bjt3B57Bp9XlNY1f67dNL8WwJX9RiHJGkteksKVXUFTU3h3mvmJdkVuAVwQV9xSJLWru+7jz4A/EuSXZLcAngz8GUvMt/Ma8cdgNaLx2/h8tjR4zUFaJ5ToEkEhwGbA6cDz6qqy3oLQpK0Vr0mBUnS/GY3F5KkjklBktQxKUiSOiYFSVLHpCBJ6pgUpPWQ5Ettx46zsa8VSQ6djX0tFkmuTrLPeu7jfUnePVfrLzTekjomSVYAr7LPJ63hd0LzgTUFaS3S6Lt7+XWSZNNxxzDf+JmsG5PCekrywiS/akeSuyTJm9r5OyU5Ocnv2tcHkixpl30e2Ak4oa3+ntbO3yrJO5P8JsllST6bZKeBsp6c5KdtWX9I8uGBZW9KclG7v18m+adeP4h5Isnzk3x/0rxdktyUZNl0x6Vdt5K8KMm5NN2075XkwCTfT3JVe1y+MrD+GUleNTC9LMlJ7b6vSPLtJLdpl+2c5HPtPn6T5B1Jtpzm//LAJGcnuTLJz5IcObBs/yQ3Jnl6kouAP83KBzjPDHE8K8l+7fzDklyY5GVJfguc387fPck32uP3g/b41sD+PpzkhIHpSvLcJN9t/9bOSnKXadbfLsm/J/l1W8Z5Se7cLntRe+xWtcuPSdOzw/xVVb7W8QXsTnPiuGs7fUtgb2AL4ELgdcCWwK2ALwIfGth2BXDopP29HzgbuD2wNXAC8ANgY2Ar4AbggHbdrYEHDGx7KE1/8AEOAK4FHjbuz2gMx+RWwHXAPQfmvRb46pDHpWg6aNyt/dw3p+lj//D2s90ceNDA+mfQNPnQHqOLgPfQ9Aa8CbAPsKR9/6P2GG/dHuPvAu+Z6jsB7NIew8PbbfemOfE/oV2+fxvrJ9qythr3Z9/38Rw4Xvu17w8DbgTe3h7frdrP7v8D/9bO27U9DjWwvw8DJ0z6DpxD88Ntc+Ak4PSp1qf5YX0m8Bngtu303YGJdvnj2mMZ4F7AH4Ajx/25TvuZjzuAhfxqv2DXAk8EthmY/3jgl5PW3RP4C7BxO92dAAa+XNcCDxmYtw1wfXti2YomAT0XuPUQsZ0MvGXcn9GYjsungHe279N+1k8b8rgU8IxJ66wA3gDcboqyzuCvSeGJwO+ATaZYb9+2nK0H5j2sPeYZKGdNUjgK+PakfRxD04Ek/DUp7DTuz3tcx3PgeA0mhWuBzQe23a/93LccmPe/mDkpPGFg+pHA5VOtD9yX5sfa0iH/L8cCnx73Zzrdy+aj9VDNsKJPA44AVib5VpKH0vwy2KltPrgiyRU0v1QLuN1adrcdzS/Ziwb2fzXwR2DHqroGOAh4OPDLtor61DXrts1YP0xyeVveo9p9LkYnAk9LshlNremWwCkMf1xWTNrfo4E7AT9M8pNpmuaWARdV1Y1TLNsR+GNV/Xlg3i9pjvlUx2lHBr4LA+vvODC9GvjNWmLZkKzteE7ld1X1l4Hp29N87tcOzLt4iDJ/N/D+zzS1vaksa/d/5VQLkzylbYb6rzSjTD6Pef53uSAuos1nVXUKcEr7hX028DngSODnVXXXaTZdPWn6UppfNLvQ/PGTZBtge9o//Ko6AzijbZM8GPhMkrNpTmhvBh4MnF1VNyU5meZX1WJ0Gk2Twz8AjwU+WVXXphnlb6bjApOOTVX9AHhSktD88jwtyQVV9bVJ260AdkmycVXdNGnZb4Dtk2zVJnhoaprXAVP1Evwbmh8Bg3bl5kmgqv35uYGb8niuZd3Jf1eXANsl2XJgm52YPStojustqupmg4WlGW3y48AhwJeq6vokxwJ7zWL5s86awnpIcuckD0+ypr3/SppfnScDmyY5KsmSNG6f5LEDm/+e5tcnAFW1Gvgo8PokE+0+jwN+BpyT5LZJHpdkaXvCuaLd9CaagYpuokksleSRwCPm9D8/jw18li+k+YP8ULvoC8x8XG4myWZJ/jHJtu0J+HKaE89UtYH/S9Pc9/YkS5NsnGTvNBeyz6G5nnFcmhsKJoDXAye28U72f4A9kzwjySZJ7kvzY+Pf1+EjWdCmOZ7DOItmcK9jkmyRZBdgNm/COBc4j+amke2TbJTkbkl2oGn+3Yjm7/KGJHsDT5/FsueESWH9bAa8hqaqeQXNl/Zx7S/BBwN70JzUr6RpprjnwLZvAA5tm3u+1M57Mc2X7Ls0X+QdgIPbJLARTdVzRZJVNBcz/7GaAYq+DHyM5sRzGU3b+X/M0f95oTgReCDwq6o6B2DI4zKVJwE/S3I1cCrwmqr6z8krtU1DB9A08fwC+C/grcCmbZPSPwB3oDm259DcVPDPUxVYzTjmBwHPb/fzMeDoqvr0kP//Dc3fHM9htJ/7wTQjPl4KfJbms7x+NoJqE9bBNNcyzqc5D5wILKmqn9KcHz7Xzn8FTbKf13x4TdKikubW3pdW1e7jjmU+sqYgaYOW5P5JdmubC+8OvJwF8It9XLzQLGlDtxNNEtiWpgnpJJrbezUFm48kSR2bjyRJHZOCJKljUpAkdUwKUk+SLE9y4bjjkKbjhWapJ223JVtU1VTdWkjzgklBktSx+UiLRppBa85sBzxZ1Q64cmCaAWsqyaPbHi2vS/LjJAdO2n73NIPkXJlmoJzPtX3pDK7z0DQD61zT9sT61bafoymbj9q+s85Ocm2aQVjemWTrmWKey89Ji5tJQYtCmmE1P0vTr9SeNH3hLKfps2aNY2kGcLkXTUdqpya5fbv97YBv0fSKeX/g74FVwFfSjp6Wptv0LwHfAe5HMw7Gp1jLQ6Ltyf0zNH3l3A14Mk0vrCeMELM0q2w+0qKQ5FY0I5c9cHJndkn2B74OHFFVgyfki4CPVtWrkryWZgCkfQe227Td5+FVdXKSbwF/qqqD1xLDcppBdO7YTn+DZiCdowbW2YdmJK/taXpinTJmaa5YU9CiUFWX0/wCPy3JF9OM4zu5Q7QzB9a/kaYX0z3aWXsB90kzBvbVbY+pl9MMrbmmC/R7A6ePENZewEsm7XPN+M93HDJmaVaZFLRoVNURNCfi04AHAT9KcsQ0m4RmfAxo/lbWdLM9+NqdZtzldbERzeBIg/u7B02SOX8dY5bWi0lBi0pV/aiq3lFVB9EM1vLsgcV7r3nTNh/dB/hpO+s8mlrDb6vqwkmvP7XrfI9mvIZhnQfsMcX+LhwcWWyGmKVZZVLQopBklyRvSbJfkp3btvsH8NeTPsArkhyU5H8A76UZS/f4dtm7gE1phl7dt93fA5O8Lcma5qM3AI9qy/m7JHdJckSStQ3/+Brgse36d09ypySPSvKBEWKWZpVJQYvFNcBuwCeBn9Pc9XMmzchma7yc5sR+Ps0dRo+uqpUAVfUHYF/gKuDzNCfmD9EMhXp5u87/oxmFa3+aEfS+AzyRZqjWv1FVXwUOBO7brvt94I38ddD4YWKWZpV3H2nRG7j7aMeq+u2Yw5HGypqCJKljUpAkdWw+kiR1rClIkjomBUlSx6QgSeqYFCRJHZOCJKnz3+9Tms80Kj08AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.barplot(x='species', y='sepal_length', data=iris)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This barplot shows the mean and the 95% confidence interval. Individual plotting functions in `seaborn` return an axes with the plotted elements. This returned axes object can be assigned to a variable name and customized just as previously in this lecture." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'')" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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zNCRJzQwNSVIzQ0OS1MzQkCQ1MzQkSc0MDUlSM0NDktTM0JAkNTM0JEnNDA1JUjNDQ5LUzNCQJDUzNCRJzQwNSVIzQ0OS1MzQkCQ1MzQkSc0MDUlSM0NDktTM0JAkNTM0JEnNDA1JUjNDQ5LUzNCQJDUzNCRJzQwNSVIzQ0OS1MzQkCQ1MzQkSc0MDUlSM0NDktTM0JAkNTM0JEnNBhUaSRYmOTnJ9UnWJflUkj0nXZckqTOo0ABeD7wAeAKwT9/2kcmVI0katWjSBUzxKuAtVXUVQJK/Bn6UZP+qWjXRyiRJpKomXQMASZYANwGPqarvjLSvAY6sqn+aYd0VwJv7yV8D35/DUidtKbB60kXoXrP/tlxbe989qKr2mm2hIYXGvsA1wAFV9eOR9quBN1TVWRMrbkCSVFVl0nXo3rH/tlz2XWdIYxrr+n+XTGnfHVg7z7VIkqYxmNCoqpvo9jQeu6EtyQHAbsClk6pLknS3wYRG74PA/0yyLMluwNuBf3UQ/B5OmHQB2iz235bLvmNAYxrQnadBFxSvAHYAvgS8qqpumGRdkqTOoEJDkjRsQzs8JUkaMENDktTM0JAkNTM0JEnNDA1pDiX5Qn8NtXFsa1WSI8axrW1FkpuTPHEzt/F3SU6dq+W3NH57aqCSrALe6OVTtIG/ExoC9zSkeymdoV0pelpJtpt0DUPja3LvGBpzLMmxSX7c31Tqp0ne1rfvl+ScJD/rHx9Msrif98/AfsBp/e71F/v2nZO8J8m1SW5I8o9J9ht5rj9O8v3+uf4jyZkj896W5Kp+e1cmee28vhADkeQ1Sb49pW1ZkjuT7D9Tv/TLVpLjklxEd0Xl5Ul+P8m3k6zt++XLI8ufm+SNI9P7Jzm73/ZNSc5Lskc/70FJPtNv49ok706y0wz/l99N8q0ka5L8IMnRI/MOTnJHkiOTXAX8ciwv4MA09GcleUrf/ookP0ryuiQ/Ab7Ttz80ydf6/vtu3781sr0zk5w2Ml1JjklyYf+39s0kvz3D8nsl+VCSa/rnuDjJw/p5x/V9t66ff1K6k5yHq6p8zNEDeCjdG8vD++ndgYOAHYEfAW8BdgLuA3weOH1k3VXAEVO29wHgW8ADgV2A04DvAguBnYHbgaf1y+4CPHVk3SPoLu0c4GnALcCzJv0aTaBP7gPcCjx6pO0E4P809kvRXQvtwf3rvgPd5bJf2b+2OwC/N7L8uXSHlOj76Crgb+kuzLkIeCKwuP/58r6Pd+n7+ELgb6f7nQCW9X34yn7dg+iC4UX9/IP7Wj/aP9fOk37t57s/R/rrKf3PrwDuAN7V9+/O/Wv378B7+7YD+n6oke2dCZw25XfgAroPdjsAZwNfmm55ug/m5wOfAvbupx8JLO3nH9b3ZYDHAP8BHD3p13XG13zSBWzNj/4X8Bbgj4BdR9r/G3DllGUfB/wGWNhP3/UG0U8v6Lf1jJG2XYHb+jeenekC6hjgvg21nQO8Y9Kv0YT65RPAe/qf07/Whzf2SwEvm7LMKuCtwP2nea5zuTs0/gj4GbBomuWe1D/PLiNtz+r7PCPPsyE0jgfOm7KNk+iu1QZ3h8Z+k369J9WfI/01Ghq3ADuMrPuU/nXfaaTtT5k9NF40Mv0HwI3TLQ88nu7D3JLG/8spwCcn/ZrO9PDw1Byq7g6EhwNHAauTfCPJM+k+WezXH564KclNdJ90C7j/Rja3F90n4atGtn8z8HNg36r6NfBc4NnAlf0u8Es3LNsfJrssyY398z2/3+a26Azg8CTb0+117Q6spL1fVk3Z3guAhwCXJfm3GQ797Q9cVVV3TDNvX+DnVfWrkbYr6fp8un7al5HfhZHl9x2ZXg9cu5FatiYb68/p/KyqfjMy/UC61/2WkbarG57zZyM//4pub3E6+/fbXzPdzCQv6Q9z/SLdDedezcD/LreIQbwtWVWtBFb2v9D/HfgMcDRwRVU9fIZV10+Zvp7uE9EyujcHkuwK3I/+jaGqzgXO7Y+JHgJ8Ksm36N7w3g48HfhWVd2Z5By6T2Xboi/SHdJ4HvBC4ONVdUu6G37N1i8wpW+q6rvAi5OE7pPrF5NcWlVfmbLeKmBZkoVVdeeUedcC90uyc/8BALo91VuB6S7YeS3dh4RRB3DPkKjqP75u5abtz40sO/Xv6qfAXkl2GllnP8ZnFV2/7lZV97gvULobz50FHAp8oapuS3IKsHyMzz927mnMoSQPS/LsJBvGG9bQfWo9B9guyfFJFqfzwCQvHFn9OrpPrwBU1Xrgw8DfJFnab/OdwA+AC5LsneSwJEv6N6Sb+lXvpLsnyZ10wVNJ/gB4zpz+5wds5LU8lu4P9vR+1meZvV/uIcn2SV6eZM/+DfpGujem6fYmPkd3OPFdSZYkWZjkoHQD7RfQjae8M90XHpYCfwOc0dc71ceAxyV5WZJFSR5P92HkQ/fiJdmizdCfLb5Jdx+fk5LsmGQZMM4viVwEXEz3pZb7JVmQ5BFJHkB3eHkB3d/l7UkOAo4c43PPCUNjbm1Pd+/yn9G9iR8LHNZ/knw6cCDdm/4ausMgjx5Z963AEf3hpC/0bX9B90t4Id0v+gOAQ/qQWEC3a7sqyTq6wdaXV3cvkn8FPkL3xnQD3bH7T8/R/3lLcQbwu8CPq+oCgMZ+mc6LgR8kuRn4J+DNVfV/py7UH3p6Gt0hpB8CvwBOBrbrD1k9D9iHrm8voPvSw19N94TV3RL5ucBr+u18BHhTVX2y8f+/tflP/dmif90Pobv52/XAP9K9lreNo6g+0A6hG0v5Dt37wBnA4qr6Pt37w2f69tfTfRgYNE/uk6QR6b66/JdV9dBJ1zJE7mlI2qYleXKSB/eHIx8J/DVbwCf+SXEgXNK2bj+6kNiT7hDV2XRfX9Y0PDwlSWrm4SlJUjNDQ5LUzNCQJDUzNCRJzQwNSVIzQ0OS1Oz/A+vCjzbB0BlWAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.barplot(x='species', y='sepal_length', data=iris)\n", "\n", "ax.set_ylim(0, 10)\n", "ax.set_ylabel('Sepal Length')\n", "ax.set_xlabel('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the `seaborn` plotting functions returns a `matplotlib` axes object, these can be used with any `matplotlib` functions. For example, by creating a figure using `subplots()`, the `seaborn` plotting functions can be arranged as subplots in a grid. The syntax is slightly different from doing this with functions that are native to `matplotlib`, and the axes in which the `seaborn` function will plot needs to be specified with the `ax` parameter." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize=(10, 8), sharex=True)\n", "fig.suptitle('Visualization comparison', y=1.02) # `y` is used to place the title a little bit higher up\n", "sns.despine()\n", "\n", "sns.barplot(x='species', y='sepal_length', data=iris, ax=ax1)\n", "sns.boxplot(x='species', y='sepal_length', data=iris, ax=ax2)\n", "sns.violinplot(x='species', y='sepal_length', data=iris, ax=ax3)\n", "sns.swarmplot(x='species', y='sepal_length', data=iris, ax=ax4)\n", "\n", "ax1.set_xlabel('')\n", "ax2.set_xlabel('')\n", "ax2.set_ylabel('')\n", "ax3.set_xlabel('')\n", "ax4.set_xlabel('')\n", "ax4.set_ylabel('')\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">#### Challenge 3\n", ">\n", ">1. How many data points and/or distribution statistics are displayed in each of these plots \n", ">2. Out of the these plots, which one do you think is the most informative and why? Which is the most true to the underlying data?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pros and cons of different graph types\n", "\n", "We will deepen the discussion around some of these ideas, in the context of the 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": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'')" ] }, "execution_count": 48, "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", "sns.despine()\n", "\n", "sns.violinplot(x='species', y='sepal_length', data=iris,\n", " color='lightgrey', inner=None, ax=ax)\n", "sns.swarmplot(x='species', y='sepal_length', data=iris,\n", " ax=ax) \n", "ax.set_ylabel('Sepal Length')\n", "ax.set_xlabel('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting elements have a default order in which they appear. This can be changed by explicitly via the `zorder` parameter." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'')" ] }, "execution_count": 49, "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", "sns.despine()\n", "\n", "sns.violinplot(x='species', y='sepal_length', data=iris,\n", " color='lightgrey', inner=None, ax=ax, zorder=10)\n", "sns.swarmplot(x='species', y='sepal_length', data=iris,\n", " ax=ax, zorder=0) \n", "ax.set_ylabel('Sepal Length')\n", "ax.set_xlabel('')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">#### Challenge 4\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": [ "## 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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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", "The default colormap in `matplotlib` is `viridis` which to have monotonically increasing lightness throughout. There is also `cividis`, which is designed to look the same for common colorblindess as for people without colorblindness. Heatmaps is a good example on where color matters" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "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(figsize=(3, 6))\n", "iris_heat = iris.iloc[:, :4].sample(10, random_state=0)\n", "sns.heatmap(iris_heat, cmap='cividis', ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Heatmaps are great when visualizing correlation matrices. Since correlations range from -1 to 1, it is suitable to use a divergent heatmap with two distinct colors centered around 0." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_width
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petal_length0.871754-0.4284401.0000000.962865
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width\n", "sepal_length 1.000000 -0.117570 0.871754 0.817941\n", "sepal_width -0.117570 1.000000 -0.428440 -0.366126\n", "petal_length 0.871754 -0.428440 1.000000 0.962865\n", "petal_width 0.817941 -0.366126 0.962865 1.000000" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.corr()" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.heatmap(iris.corr(), center=0, cmap='vlag')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a correlation matrix, the diagonal is a column's correlaiton with itself, so it is always perfect (1). The same values are mirrored above and below the diagonal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another approach to improve visualization clarity is to use different symbols for the groups and to change the color palette to one specifically designed to work well for common colorblindness." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# To see all available palettes, set it to an empty string and view 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 5 (optional)\n", ">\n", ">1. Take one of the figures created previously and upload it to [this website](http://www.color-blindness.com/coblis-color-blindness-simulator/) to see how it looks in the color blindness simulator." ] }, { "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)\n", "- [Usability article about how to design for people with color blindness](http://blog.usabilla.com/how-to-design-for-color-blindness/)" ] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }