{ "cells": [ { "cell_type": "markdown", "id": "f774f53f", "metadata": {}, "source": [ "# 1: Exploratory data analysis\n", "\n", "We start by looking at how to explore our data. We will cover\n", "\n", "* Categorical variables\n", "* Numeric variables\n", "* Looking for outliers\n", "* Exploring correlations in the data\n", "\n", "Some extrnal resources that you might find useful:\n", "\n", "* https://towardsdatascience.com/exploratory-data-analysis-in-python-a-step-by-step-process-d0dfa6bf94ee" ] }, { "cell_type": "code", "execution_count": 1, "id": "3ba4c5cc", "metadata": {}, "outputs": [], "source": [ "# data manipulation\n", "import pandas as pd\n", "import numpy as np\n", "\n", "# data viz\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rcParams\n", "import seaborn as sns\n", "\n", "# apply some cool styling\n", "plt.style.use(\"ggplot\")\n", "rcParams['figure.figsize'] = (12, 6)\n", "\n", "# use sklearn to import a dataset\n", "from sklearn.datasets import load_wine" ] }, { "cell_type": "markdown", "id": "80065de4", "metadata": {}, "source": [ "## Import the data\n", "Importing a dataset is simple with Pandas through functions dedicated to reading the data. If our dataset is a .csv file, we can just use\n", "\n", "`df = pd.read_csv(\"path/to/my/file.csv\")`\n", "\n", "df stands for dataframe, which is Pandas’s object similar to an Excel sheet. This nomenclature is often used in the field. The read_csv function takes as input the path of the file we want to read. There are many other arguments that we can specify.\n", "\n", "The .csv format is not the only one we can import — there are in fact many others such as Excel, Parquet and Feather.\n", "\n", "For ease, in this example we will use Sklearn to import the wine dataset.\n", "\n", "We eill set a new column called `target` which is a class for the wines." ] }, { "cell_type": "code", "execution_count": 3, "id": "47d50d91", "metadata": {}, "outputs": [], "source": [ "# carichiamo il dataset\n", "wine = load_wine()\n", "\n", "# convertiamo il dataset in un dataframe Pandas\n", "df = pd.DataFrame(data=wine.data, columns=wine.feature_names)\n", "# creiamo la colonna per il target\n", "df[\"target\"] = wine.target" ] }, { "cell_type": "markdown", "id": "d9ee8396", "metadata": {}, "source": [ "## Take a quick look using Pandas\n", "\n", "Two of the most commonly used functions in Pandas are `.head()` and `.tail()`. These two allow us to view an arbitrary number of rows (by default 5) from the beginning or end of the dataset. Very useful for accessing a small part of the dataframe quickly.\n", "\n", "We can also use:\n", "* `.shape`\n", "* `.describe()`\n", "* `.info()`\n", "\n", "**Note** the `.shape` call is not followed by parentheses `()`; this is beacause `shape` is an attribute of the dataset, whereas `describe` for example is a function that acts on the dataset." ] }, { "cell_type": "code", "execution_count": 4, "id": "0f238026", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " alcohol malic_acid ash alcalinity_of_ash magnesium total_phenols \\\n", "175 13.27 4.28 2.26 20.0 120.0 1.59 \n", "176 13.17 2.59 2.37 20.0 120.0 1.65 \n", "177 14.13 4.10 2.74 24.5 96.0 2.05 \n", "\n", " flavanoids nonflavanoid_phenols proanthocyanins color_intensity hue \\\n", "175 0.69 0.43 1.35 10.2 0.59 \n", "176 0.68 0.53 1.46 9.3 0.60 \n", "177 0.76 0.56 1.35 9.2 0.61 \n", "\n", " od280/od315_of_diluted_wines proline target \n", "175 1.56 835.0 2 \n", "176 1.62 840.0 2 \n", "177 1.60 560.0 2 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.tail(3)" ] }, { "cell_type": "code", "execution_count": 5, "id": "e82a977c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(178, 14)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.shape" ] }, { "cell_type": "code", "execution_count": 6, "id": "5005d1f0", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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count178.000000178.000000178.000000178.000000178.000000178.000000178.000000178.000000178.000000178.000000178.000000178.000000178.000000178.000000
mean13.0006182.3363482.36651719.49494499.7415732.2951122.0292700.3618541.5908995.0580900.9574492.611685746.8932580.938202
std0.8118271.1171460.2743443.33956414.2824840.6258510.9988590.1244530.5723592.3182860.2285720.709990314.9074740.775035
min11.0300000.7400001.36000010.60000070.0000000.9800000.3400000.1300000.4100001.2800000.4800001.270000278.0000000.000000
25%12.3625001.6025002.21000017.20000088.0000001.7425001.2050000.2700001.2500003.2200000.7825001.937500500.5000000.000000
50%13.0500001.8650002.36000019.50000098.0000002.3550002.1350000.3400001.5550004.6900000.9650002.780000673.5000001.000000
75%13.6775003.0825002.55750021.500000107.0000002.8000002.8750000.4375001.9500006.2000001.1200003.170000985.0000002.000000
max14.8300005.8000003.23000030.000000162.0000003.8800005.0800000.6600003.58000013.0000001.7100004.0000001680.0000002.000000
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" ], "text/plain": [ " alcohol malic_acid ash alcalinity_of_ash magnesium \\\n", "count 178.000000 178.000000 178.000000 178.000000 178.000000 \n", "mean 13.000618 2.336348 2.366517 19.494944 99.741573 \n", "std 0.811827 1.117146 0.274344 3.339564 14.282484 \n", "min 11.030000 0.740000 1.360000 10.600000 70.000000 \n", "25% 12.362500 1.602500 2.210000 17.200000 88.000000 \n", "50% 13.050000 1.865000 2.360000 19.500000 98.000000 \n", "75% 13.677500 3.082500 2.557500 21.500000 107.000000 \n", "max 14.830000 5.800000 3.230000 30.000000 162.000000 \n", "\n", " total_phenols flavanoids nonflavanoid_phenols proanthocyanins \\\n", "count 178.000000 178.000000 178.000000 178.000000 \n", "mean 2.295112 2.029270 0.361854 1.590899 \n", "std 0.625851 0.998859 0.124453 0.572359 \n", "min 0.980000 0.340000 0.130000 0.410000 \n", "25% 1.742500 1.205000 0.270000 1.250000 \n", "50% 2.355000 2.135000 0.340000 1.555000 \n", "75% 2.800000 2.875000 0.437500 1.950000 \n", "max 3.880000 5.080000 0.660000 3.580000 \n", "\n", " color_intensity hue od280/od315_of_diluted_wines proline \\\n", "count 178.000000 178.000000 178.000000 178.000000 \n", "mean 5.058090 0.957449 2.611685 746.893258 \n", "std 2.318286 0.228572 0.709990 314.907474 \n", "min 1.280000 0.480000 1.270000 278.000000 \n", "25% 3.220000 0.782500 1.937500 500.500000 \n", "50% 4.690000 0.965000 2.780000 673.500000 \n", "75% 6.200000 1.120000 3.170000 985.000000 \n", "max 13.000000 1.710000 4.000000 1680.000000 \n", "\n", " target \n", "count 178.000000 \n", "mean 0.938202 \n", "std 0.775035 \n", "min 0.000000 \n", "25% 0.000000 \n", "50% 1.000000 \n", "75% 2.000000 \n", "max 2.000000 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "code", "execution_count": 7, "id": "5aa90318", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 178 entries, 0 to 177\n", "Data columns (total 14 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 alcohol 178 non-null float64\n", " 1 malic_acid 178 non-null float64\n", " 2 ash 178 non-null float64\n", " 3 alcalinity_of_ash 178 non-null float64\n", " 4 magnesium 178 non-null float64\n", " 5 total_phenols 178 non-null float64\n", " 6 flavanoids 178 non-null float64\n", " 7 nonflavanoid_phenols 178 non-null float64\n", " 8 proanthocyanins 178 non-null float64\n", " 9 color_intensity 178 non-null float64\n", " 10 hue 178 non-null float64\n", " 11 od280/od315_of_diluted_wines 178 non-null float64\n", " 12 proline 178 non-null float64\n", " 13 target 178 non-null int64 \n", "dtypes: float64(13), int64(1)\n", "memory usage: 19.6 KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "markdown", "id": "095728fc", "metadata": {}, "source": [ "Notice that info gives quite different results to describe. Info tells us about the data types - describe gives us some summary statistics." ] }, { "cell_type": "markdown", "id": "988baa46", "metadata": {}, "source": [ "## Make names more sensible\n", "\n", "The name `od280/od315_of_diluted_wines` refers to a test for protein content. But it is not very descriptive to us, let's chance it to make life easier for ourselves later." ] }, { "cell_type": "code", "execution_count": 8, "id": "fb45b2e1", "metadata": {}, "outputs": [], "source": [ "df.rename(columns={\"od280/od315_of_diluted_wines\": \"protein_concentration\"}, inplace=True)" ] }, { "cell_type": "markdown", "id": "23a63953", "metadata": {}, "source": [ "## Undestanding the variables\n", "\n", "We will look at two main types of variable discussed in the lecture: categorical and numeric.\n", "\n", "### Categorical variables\n", "\n", "Categorical variables are those where the data are labelled by class, for example it could be data on something like postcode. If we had labelled houses by postcode, then this is said to be categorical data.\n", "\n", "Let's look at the distribution of the types for the wines, the `target` column\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "a71ce3cf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1 71\n", "0 59\n", "2 48\n", "Name: target, dtype: int64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.target.value_counts()" ] }, { "cell_type": "code", "execution_count": 10, "id": "21f27d2d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1 0.398876\n", "0 0.331461\n", "2 0.269663\n", "Name: target, dtype: float64" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.target.value_counts(normalize=True)" ] }, { "cell_type": "code", "execution_count": 16, "id": "9566182c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.target.value_counts().plot(kind=\"bar\")\n", "plt.title(\"Value counts of the target variable\")\n", "plt.xlabel(\"Wine type\")\n", "plt.xticks(rotation=0)\n", "plt.ylabel(\"Count\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7a2dd32a", "metadata": {}, "source": [ "### Numeric values\n", "\n", "Numeric data is when we assign a numerical value as the label of an instance. To take the houses example again, we might label the houses by the distance to the nearest bus stop, this would then be a numeric data set.\n", "\n", "We can perform exploratory analysis of the numeric values using the `.describe()` function." ] }, { "cell_type": "code", "execution_count": 17, "id": "098de2d4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "count 178.000000\n", "mean 99.741573\n", "std 14.282484\n", "min 70.000000\n", "25% 88.000000\n", "50% 98.000000\n", "75% 107.000000\n", "max 162.000000\n", "Name: magnesium, dtype: float64" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.magnesium.describe()" ] }, { "cell_type": "code", "execution_count": 18, "id": "c30c74b9", "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": [ "df.magnesium.hist()" ] }, { "cell_type": "markdown", "id": "c8c57bc4", "metadata": {}, "source": [ "Question do you think this has high/low skew - or high/low kurotis?" ] }, { "cell_type": "code", "execution_count": 11, "id": "8cea4e11", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Skewness: 1.098191054755161\n", "Kurtosis: 2.1049913235905557\n" ] } ], "source": [ "print(f\"Skewness: {df['magnesium'].skew()}\")\n", "print(f\"Kurtosis: {df['magnesium'].kurt()}\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "76427ab8", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.catplot(x=\"target\", y=\"proline\", data=df, kind=\"box\", aspect=1.5)\n", "plt.title(\"Boxplot for target vs proline\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1a648bb1", "metadata": {}, "source": [ "## Question which of the datasets might have an outlier" ] }, { "cell_type": "code", "execution_count": 27, "id": "597e31e5", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n"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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.catplot(x=\"target\", y=\"flavanoids\", data=df, kind=\"box\", aspect=1.5)\n", "plt.title(\"Boxplot for target vs proline\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e715141f", "metadata": {}, "source": [ "## Take a closer look at the outlier" ] }, { "cell_type": "code", "execution_count": 25, "id": "303c83db", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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alcoholmalic_acidashalcalinity_of_ashmagnesiumtotal_phenolsflavanoidsnonflavanoid_phenolsproanthocyaninscolor_intensityhueprotein_concentrationprolinetarget
12111.562.053.2328.5119.03.185.080.471.876.00.933.69465.01
\n", "
" ], "text/plain": [ " alcohol malic_acid ash alcalinity_of_ash magnesium total_phenols \\\n", "121 11.56 2.05 3.23 28.5 119.0 3.18 \n", "\n", " flavanoids nonflavanoid_phenols proanthocyanins color_intensity hue \\\n", "121 5.08 0.47 1.87 6.0 0.93 \n", "\n", " protein_concentration proline target \n", "121 3.69 465.0 1 " ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df[df['flavanoids'] > 5]" ] }, { "cell_type": "markdown", "id": "7db33e57", "metadata": {}, "source": [ "We can then remove that data from the data set, if we choose to." ] }, { "cell_type": "code", "execution_count": 26, "id": "8eaf3cc9", "metadata": {}, "outputs": [], "source": [ "df = df.drop(121)" ] }, { "cell_type": "markdown", "id": "54af801d", "metadata": {}, "source": [ "## Explore correlations in the data\n", "\n", "As we discussed in the lecture we might want to remove features in the data that are very closely related to one another. Imagine a data set that had one feature with temperature in F and one with temperature in C. Now these two features tell us exactly the same thing, but on a different scale. Later we will see that adding both to a model would be of no benifit, as they do not carry any extra information. To look for redundant information between features ($x$ and $y$) we can use the correlation.\n", "$$\n", "r = \\frac{\\sum(x_i - \\bar{x})(y_i - \\bar{y})}{\\sqrt{\\sum(x_i - \\bar{x})^2(y_i - \\bar{y})^2}}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 23, "id": "e235ecc7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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alcoholmalic_acidashalcalinity_of_ashmagnesiumtotal_phenolsflavanoidsnonflavanoid_phenolsproanthocyaninscolor_intensityhueprotein_concentrationprolinetarget
alcohol1.0000000.0943970.211545-0.3102350.2707980.2891010.236815-0.1559290.1366980.546364-0.0717470.0723430.643720-0.328222
malic_acid0.0943971.0000000.1640450.288500-0.054575-0.335167-0.4110070.292977-0.2207460.248985-0.561296-0.368710-0.1920110.437776
ash0.2115450.1640451.0000000.4433670.2865870.1289800.1150770.1862300.0096520.258887-0.0746670.0039110.223626-0.049643
alcalinity_of_ash-0.3102350.2885000.4433671.000000-0.083333-0.321113-0.3513700.361922-0.1973270.018732-0.273955-0.276769-0.4405970.517859
magnesium0.270798-0.0545750.286587-0.0833331.0000000.2144010.195784-0.2562940.2364410.1999500.0553980.0660040.393351-0.209179
total_phenols0.289101-0.3351670.128980-0.3211130.2144011.0000000.864564-0.4499350.612413-0.0551360.4336810.6999490.498115-0.719163
flavanoids0.236815-0.4110070.115077-0.3513700.1957840.8645641.000000-0.5379000.652692-0.1723790.5434790.7871940.494193-0.847498
nonflavanoid_phenols-0.1559290.2929770.1862300.361922-0.256294-0.449935-0.5379001.000000-0.3658450.139057-0.262640-0.503270-0.3113850.489109
proanthocyanins0.136698-0.2207460.009652-0.1973270.2364410.6124130.652692-0.3658451.000000-0.0252500.2955440.5190670.330417-0.499130
color_intensity0.5463640.2489850.2588870.0187320.199950-0.055136-0.1723790.139057-0.0252501.000000-0.521813-0.4288150.3161000.265668
hue-0.071747-0.561296-0.074667-0.2739550.0553980.4336810.543479-0.2626400.295544-0.5218131.0000000.5654680.236183-0.617369
protein_concentration0.072343-0.3687100.003911-0.2767690.0660040.6999490.787194-0.5032700.519067-0.4288150.5654681.0000000.312761-0.788230
proline0.643720-0.1920110.223626-0.4405970.3933510.4981150.494193-0.3113850.3304170.3161000.2361830.3127611.000000-0.633717
target-0.3282220.437776-0.0496430.517859-0.209179-0.719163-0.8474980.489109-0.4991300.265668-0.617369-0.788230-0.6337171.000000
\n", "
" ], "text/plain": [ " alcohol malic_acid ash alcalinity_of_ash \\\n", "alcohol 1.000000 0.094397 0.211545 -0.310235 \n", "malic_acid 0.094397 1.000000 0.164045 0.288500 \n", "ash 0.211545 0.164045 1.000000 0.443367 \n", "alcalinity_of_ash -0.310235 0.288500 0.443367 1.000000 \n", "magnesium 0.270798 -0.054575 0.286587 -0.083333 \n", "total_phenols 0.289101 -0.335167 0.128980 -0.321113 \n", "flavanoids 0.236815 -0.411007 0.115077 -0.351370 \n", "nonflavanoid_phenols -0.155929 0.292977 0.186230 0.361922 \n", "proanthocyanins 0.136698 -0.220746 0.009652 -0.197327 \n", "color_intensity 0.546364 0.248985 0.258887 0.018732 \n", "hue -0.071747 -0.561296 -0.074667 -0.273955 \n", "protein_concentration 0.072343 -0.368710 0.003911 -0.276769 \n", "proline 0.643720 -0.192011 0.223626 -0.440597 \n", "target -0.328222 0.437776 -0.049643 0.517859 \n", "\n", " magnesium total_phenols flavanoids \\\n", "alcohol 0.270798 0.289101 0.236815 \n", "malic_acid -0.054575 -0.335167 -0.411007 \n", "ash 0.286587 0.128980 0.115077 \n", "alcalinity_of_ash -0.083333 -0.321113 -0.351370 \n", "magnesium 1.000000 0.214401 0.195784 \n", "total_phenols 0.214401 1.000000 0.864564 \n", "flavanoids 0.195784 0.864564 1.000000 \n", "nonflavanoid_phenols -0.256294 -0.449935 -0.537900 \n", "proanthocyanins 0.236441 0.612413 0.652692 \n", "color_intensity 0.199950 -0.055136 -0.172379 \n", "hue 0.055398 0.433681 0.543479 \n", "protein_concentration 0.066004 0.699949 0.787194 \n", "proline 0.393351 0.498115 0.494193 \n", "target -0.209179 -0.719163 -0.847498 \n", "\n", " nonflavanoid_phenols proanthocyanins color_intensity \\\n", "alcohol -0.155929 0.136698 0.546364 \n", "malic_acid 0.292977 -0.220746 0.248985 \n", "ash 0.186230 0.009652 0.258887 \n", "alcalinity_of_ash 0.361922 -0.197327 0.018732 \n", "magnesium -0.256294 0.236441 0.199950 \n", "total_phenols -0.449935 0.612413 -0.055136 \n", "flavanoids -0.537900 0.652692 -0.172379 \n", "nonflavanoid_phenols 1.000000 -0.365845 0.139057 \n", "proanthocyanins -0.365845 1.000000 -0.025250 \n", "color_intensity 0.139057 -0.025250 1.000000 \n", "hue -0.262640 0.295544 -0.521813 \n", "protein_concentration -0.503270 0.519067 -0.428815 \n", "proline -0.311385 0.330417 0.316100 \n", "target 0.489109 -0.499130 0.265668 \n", "\n", " hue protein_concentration proline target \n", "alcohol -0.071747 0.072343 0.643720 -0.328222 \n", "malic_acid -0.561296 -0.368710 -0.192011 0.437776 \n", "ash -0.074667 0.003911 0.223626 -0.049643 \n", "alcalinity_of_ash -0.273955 -0.276769 -0.440597 0.517859 \n", "magnesium 0.055398 0.066004 0.393351 -0.209179 \n", "total_phenols 0.433681 0.699949 0.498115 -0.719163 \n", "flavanoids 0.543479 0.787194 0.494193 -0.847498 \n", "nonflavanoid_phenols -0.262640 -0.503270 -0.311385 0.489109 \n", "proanthocyanins 0.295544 0.519067 0.330417 -0.499130 \n", "color_intensity -0.521813 -0.428815 0.316100 0.265668 \n", "hue 1.000000 0.565468 0.236183 -0.617369 \n", "protein_concentration 0.565468 1.000000 0.312761 -0.788230 \n", "proline 0.236183 0.312761 1.000000 -0.633717 \n", "target -0.617369 -0.788230 -0.633717 1.000000 " ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "corrmat = df.corr()\n", "corrmat" ] }, { "cell_type": "code", "execution_count": 24, "id": "87b04fd0", "metadata": {}, "outputs": [ { "data": { "image/png": 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fuT2Gbi296fG+XNcpQ+oSdTGe8MjbTOivapBMGaKs16f9anPo9GMOn32iMOq3H7nH8B4BNHk6E/Fh26pEXYxnxbYbzJ2g2r4rN16iW5vq9GgnnyGaMjqUqHOPCd9xjQlDGqrqMFq5jE8HN+TQifscPvlAyfAvLS3j8+8O8MmAepy7mkBObpHaOniGTCZjZ8R5egxoQMNm8jFh7Iw29G/7C8f23+CDLoFq8/n4OeDjJ3+x+HPxMbUyW1afxtrOjDHT2yjS7BzNcTUofxFasSaKbp2D6dG1HgBTP+9A1MnbhG88xYQxrVXKdHa0ZNrEjgBs3n5O43WVlpbx2dT1fDK8Fecv3ic7p1CjrE5wR8quHKTsygF53kPL0fYIQieoNaXH1mjMJ8vPhKJ8jceRAXmZmo9XFJfJ2LD2DP0HN6JpS7n7d9q3HejQ/Ef+irxO5x7qjeWINWep28CDfh/Lx7d+H1tz6dwjNqw9y9dPDX+JpYlSntXLT+LkIqFevfLnwIoVB+jWrRE9ejQGYOrUMKKibhAefpQJE7qonHf9+mM4OFgydWoYAF5eDly9+pDly/9SGP4WFsrn3b37HIaG+rRurX6c0W/eDWn0XqTRewAo2vQrOn7B6L3XgeLty1XkdfyC0fWpSe6MfpCfI6/H9CTVgrW0MRwwmeLdf6LjFQDGJqoyzyGTyTi38zQNe4Ti21A+TrYd14nF/ecTc+wagRr0dw1wV/od3KE+1w5d5knMY4Xh712vqpLMe32bc2nvOS5duvQ/a/gLXj3vcJTT/z8KCwtp3749s2bNYsaMGWhpaTFv3jzKyspUZNPT0/nyyy/R09NjxowZzJ49m2bNmilkIyMj2blzJ3379mXevHnUqlWLOXPmkJCQoFTO+vXr6dChA99//z0ODg78+OOPlJbKPaT37t1jwYIFhISEMG/ePHr06EFERARHjhx57XWhDpsGfsT/dV4pLW7fWayDfdHSlXtxbBr6EfeX8kM/bv85bEP8VcorLi7h+o3HNG5UXSm9UUh1Ll66r1aHS5fu0yhEWT60sR/Xrj9SeJalxSXoG+gpyRga6nHhwl1VHaSlXL+dRKN6bso61HXj4rV4tTpUpKxMRl5+MeZVDF9KXhOZSZnkZuTiGeSpSNPV08WthhuPYx6/VBkymYx7l+6R9iQN1xrqQ03UUSwt5XpsKo1qK4e/NKrtxMWY5Jcqo6xMRl6BFHMz9R43gE37btO2iSfGhnoqx4qlpVy/k0ajIOWQmkZBDly8qd6jqFEH03IdiqWlGOgpexkN9HU4r+a65P0hhUbBynXXKNiFi9dVQ5Yq1aFCPSxefRZLc0O6t9UccvY8SfFZZKTlEfhcCJmevi41gly4efXl+qYmzhy/i3d1e76fsp3+bRYzvt8q9m+7rDheLC3hekwcjRsqGzuNGvhw8fLDf3XuxUsPYikxoUcX1ZdJJbR10bL3ouzBJaXksvuX0HaqPPZCv/8P6I9chl7Pr9FyraFGwBD9YUvQH/E7ut2momWr/kX0GfFxmaSl5lGvYbmcvr4ugXVcuXo5TmO+61fiqNvQUymtXognVy8/USsvlZayf/c12nWuiZaW3FNbXFzC9euPaNy4wjjZqDoXL95TW86lS/doVGFcDQ3149q1h0ozcM+zefMJ2rULxlidx1xHF21XX0pjlMf/0pjz6Hiqju0AujUbUvroNvqtwjD5LhyTL1dg0HUo6CnPVOm37YMsNxNp9F615VQkKymTvIxc3CuMky7+bsTdfPlx8uHle2TEpeHir36cLCstI+bYNaSFUoKCgl6q3LcREeP/6hEe//9HVPwIxIgRIxg8eDBPnjzB0FDZqNu7dy/GxsaMGzcOXV15N3B0LDdYdu7cSadOnWjUqBEAffr04fr16+zevZvBgwcr5Dp06EDt2nIPTFhYGJ9++imJiYk4OTmxa9cuAgIC6N69u6L8J0+esGPHDpo2bfrC65FKpUillU9f/x2M7C0pSMpQSitMykBbTxdDa3MKEtMxsrekUI2Mkb1EpbyMzFxKS8uwslIOn7C2MiMlNVtFHiA1NRvrCvJWVmaUlJSRkZmLrY05jRtXZ+XKQ9St442rqzUnT93i4KErlJbKVMrLyCqgtFSGlcRYuUyJCanpDzTWxfOsWH+O/EIpbZpXfbFwJeRm5AJgaqEc0mJqYUrm05hTTRTmFbKg/wJKpaVoaWvRdkRbvIK8XvrcGdmFlJbJsJIYKaVbSYxITS94qTJWbL5KfmEJbTR486/cSiH2QQb/Ga/qZZfrUCTXwUL5XrMyNyI18+UM3RXbrpNfVEKbxuUvco2DHFm5/QbBNexwtTfj5OUEDp1+TGmZuv5QWT1U4kF+XocNF+X9oWn5OpUL1xLYHBnDtt97vlQZAJlpeQBYVPAIm1sak5Ko/v54WZLiM9m75RIdPwyme/8GxN5I4I8Fh3AzNqdzhzpkZOTL701LNfdm2u1/fN7zlx6wadtZtq0f+2JhYzO0tHWQVfTM52eCiYX6PHkZSPf+gizpLujooePfBL2eXyMNn47syQ0AZGlxlET+jCzlIRgYoVOnPXq9ZyFdOR5ZRoLaYtNT5W0hsVJuC0srE7Xx+c9IS83FUk2eZ+VV5NihW+TmFNK2Y3nceUbGs3FSOezQ2roKKSmVjJPWyvJWVlXk42RGLra25krHrly5z+3b8fznP33Vlqdlao6Wjg5lOcpjuyw7A+0qqmM7gLaVAzpeNUBaTMGSr9AyNcew1ydoGZtRuGY+ADqe/uiFtCb/u+Fqy1BH3tNx0thceZw0tjAl+wXjZFFeIb8MKh8nWw1vi3ug8jiZ8iCJNV8sp6S4BH0jfTpPDsPbW/OaM8G7hzD8/x+RmJhIREQEsbGx5OTkKLz3qampODsrL/R8+PAh1apVUxj9z5Ofn09GRgbVqil7papWrcrDh8reMlfXcm+DhYUFAFlZWTg5OREXF0dwsPKivKpVq7J7927KysrQfsEr99atW9m0aZNSWhsNsi+LTFbBWHrqleK5dHUyFZPUFfF8fq2KiS+QB9BCfmDq5O5MmxFOm/bfoKWlhYuLNV27NGDL1lOVlFnxfDKV86hj14EYFq2IZvGsziovDy/i6uGr7FpcvjD6w2cL+f5mfQAYGBkw7KdhFBcWc//SffYv24/EXqISBvQiVM4iU61vdew6fJdFay6y+MuWWFkYqZXZtPcWPu4SalatfDGk2rZ4sQrsOnqfReFXWDy1qZIOU4fUY/qik7QduR0twMXBjK4tvdly4M7L6/Cy9XDwNov+PMvib9oq+kNufjGff/cX30xohsRcfd0AHN17g1/n7Ff8nja/21NlKgi+pC6VISuT4VXdnr4j5Is9Pava8eheGuEbT9O5Q3moxN+9NysjN6+Iz6dG8M30blhKKg/nqBwtNA0osvR4ZOnlL4kl8bfQNbNGp14nSp4Z/gm3kSWUv7yUPLmJXv/5aNduS+nBZQDs232Nud/sUcjMXSQPmal47TKZuv5aQVu1dahedtfWyzRo5IWNrepaEtVzVz5GqZNXpw/Apk3R+Po6UrNm5TMfKvWupaU63j9DWxtkMgpWzIJC+Utz0eYlGA6eDhE/g7YOhgO+oHDtAmR5ml9krx+5yv5fy8fJbtM/VH8dL9E39Y0MGLBwGMUFxTy8cp/Dy/djYSdRCgOydLJmwMJhFOYWcvtkDJE/bmdQgz7/s8a/iPF/9QjD//8Rc+bMwdrammHDhiGRSJDJZEyYMIGSkhIVWT091VCFl6HiwPT8i8OzY88GUnUPWY2DrBq6dOlC+/btldIiNv3z9QEFiekY2ysvJDO0taBMWkJhWrZCxkiNTMVZAACJhSk6OtqkpuYopael56p49Z9hbV2FlAry6em56OpqK2JWLS3N+GXRUIqKpGRm5mFra868H7bj7KS6kFNiboSOjhap6coeuLSMfKxeYJxEHrzJtNn7WTizAyHBbpXKqsO3vi/Dqg5T/C55utAuNyMXs+c8rXlZeZhYVK6LlrYWlk8X+dl72pP6JJWojVEvbfhLqhiio61Faoaydz8ts0DF+12RyKP3mLbwOAunNCektvqdcgoKS4g8eo8x/dTHQst1MFCvQ1ahxpcJhQ7H7zPt52gWftGEkEDlUCFLc0MWT21GUXEpmTlF2FoaMX/VBZztVBcLS8yf1kMF7768Hip/sYs8HMu0eYdZ+OUHhNQpX0T+OD6LuMQcRkwt33a37Ol97N/yF/as6o2rkzn1Qr3x9S9f9PssJCMzLQ9L63JdszLyVWYB/i4Sa1Nc3JXvB2d3S84ekb8MSSTG8nszTc29aalaby/D4ydpxMVnMGLcKkXas0WtfsFT2Lt1Aq4uz+mUn4OsrBQtEwuURj1jc8jX7GWviCz+Ntr+TSqTQJZ4B22JI8+CYBo39cE/oLwfFRfLj6Sn5mL93CLzjPQ8lVmA57GyNiWtgnc/Iz1fbZ7E+CzOnX7Adz90U0qXSJ6Nk8rXnJaWo+LVf4Z8NkBZPj095+k4qdx+BQXF7N59ljFjND8bZLlZyEpL0a5iyfOBr1pmFshyMtXnyUpDlpmqMPoByhIfoaWtjZaFDVoGhmhbO2A04pvnCpQ/70x/3kve1wORpSbgXc8Xx+fGydKn42ReZi6mz42T+Vl5GL/EOPls4a6dpz1pj1M5tSlKyfDX0dNRyDj4OJIYG8+ff/7JzJkzKy1b8O7wDkc5/f8iJyeHuLg4unbtSkBAAM7OzuTlqZ+OBXBzc+PmzZtqXwqMjY2RSCTcvKm8i82tW7dwctK8hWBFnJ2dVcq4ffs2jo6OL/T2g/zlxNjYWOnv35By6gaOLZUXTjm9H0zqudvISuQPxpSTN3CqKNMqmOTo6yrl6evr4u/nwolo5WuMjr5JUKB6z1NgoAfRFeSjTsRQw98VvYpx3AZ62NlZUFJSxv79l2jx3PaWCh30dPD3tSP6rPJMTPTZhwTVUL99I8g9/ZO/28e8GW1pGuKpUa4yDIwNsHS0VPzZuNpgKjHl3nNxu6XSUh5ee4hLddXdiCpDJpNRqiGWVx36ejr4+1gTfVE5Xjn6YjxB1TVvkbfr8F0mzz/GvC+a0rS+5jUFe47do1haRofmmr1m+no6+HtbEX1JOawn+lICQdU0zxLsOnqfyT9GM++zUJrWVb8FK8jj+u2sjCkplbE/+hHN66vWqbw/2BB9XjlWOPr8Y4L81S/yB7mnf/Kcg8yb2oqmDdyVjnm6StixrBdbf++p+Gse4kH9QCe2/t4T+6c7JhmZ6OPgIlH8uXhYIbEy4dKZB4qypNJSrl18TLUAzX3zZahW04m4R+lKafGPM3B6uluPvp4u/tWdOHFKeVYk+tQdgmr9/ZdcAE93G3ZuHMe29WMUf82bVKd+XU+2rR+Dvb1y+AllJcgS76LtXkspWdu9FmVxqjuEaULLzgNyVR0PSjK27siekzExMcDZ1VLx5+FljZW1CWdPla89kkpLuXT+EQG1NI/p/jWdlPIAnD15jwA1WwXv3n4ZiaUxDUOV7xF9fV38/V05cUJ5C9Po6BiCgtSPPYGBnkRHK8tHRcVQo4abyji5Z885iotL6NixvsbroLSEske30amu/OKuU602pfdUx3aA0rvX0bKwAoPy0D1tWydkZaXIMlMoS3xE3jdDyP9uuOKv5OpJSm9fJv+74YqdggyMDZA4WCr+rFxsMJGY8uCS8jj5+PpDnKr9vXESZJSWVD5OypBRXFz8N8t9e9DRfn1/7yrC4///BBMTE8zMzDhw4AASiYTU1FTWrl2rUb5169bs3buXhQsX0qVLF4yNjYmNjcXb2xtHR0c6duzIhg0bsLe3x93dncOHD/PgwQPGjFHdP1oT7du3Z/LkyWzatImQkBBu377N3r17ldYI/Bt0TQyp4l3+0DL1sMeylhdF6TnkPU6mzncfY+xozfEBcwC4+dtOqo3qRN35I7j9+25sG/rhM6gNRz8q363nxk9baHN0IQETe/Fo+wlcOzXCsWVtdoeqj+kdOKA5E7/4kxr+rgQFehCx8QQJCen06imPA5//w3aSkrP4frZ8n+9ePRuzdt0xZs3ZTFj3Rly8dJ/Nm08yf94ARZmXLz8gKTmT6tWcSUrK5OfFkZTJZAz+uKVaHQb0rMMX3+6hRjU7Av0d2bDjCgnJOfTqLDc45v92nOTUXOZMkwdK7ToQw6Rv9zJlbDNq+TuS8jQW29BAF7Oni0qLpaXcfZAGyA2EpJRcYmKTMTbSw81ZfUyslpYW9TvVJ2pjFFaOVlg6WhK1MQo9Az1qNClfoLht/jbMrMxoMaAFAFEbonDwccDSwZJSaSmx52K5cugKbUeW7xFfXFBMekK5oZeZlEnivUTiLXIVW3UO6FqDL+YepYaPDYHVbdmw5yYJybn0aicPWZu//CzJafnM+VzuPd11+C6T5h1lyvAG1KpmS8pTL7mhgS5mFbaa3LzvNi1DXJG8YAH0gE7V+WLBCWp4WxFYzYYN+2JJSMmjVxv5DifzV10gOT2fOePlu5vsOnqfSQujmDKkLrWq2pDydLbAUF9HocPlWykkpeVT3dOSpLR8FoVflveHrmoWfQIDegTyxawD1KhqQ6CfPRt23SAhKYdeHeSLGOf/fpLk1DzmTJb3p10HbzNp9kGmjG5MLT87Up7OHhnqy/uDgb4uvh7K3vVn/aRi+vNoaWnRoWcdNq06jePTl4FNq05jYKjLe++XLxBe+PVurGzM6DtSHrYjlZby+L58q8uSklLSU3K5dzsJIyP5iwVAx151mDRkHRtXnqJxi6rcvpHA/m1X+HZ6V0W5A/s0ZuK0DdTwcyKophsRW06TkJhJr+5yA3H+T3vl9+a35esWYm7JX9ry8otJz8gj5lY8ero6eHvZYWCgh6+38stTFTN5f6iY/ozSczvQbTcW7cS7yOJuoR3YCq0q1pReku8Dr/NeH7RMLSmJ/En+u057ZFnJyNIeg7Yu2v5N0KkagnTrHEWZOiFhlMXfRpaRgJaBETq126Nl60HJX79X2hZhvevx57JonF0tcXGV8OeyaAwM9WjVtnxx6zdTd2Bta8aIsfKdv8J612XUoNWsWX6S0GY+HD8cy9nTD/h1hXIsfVmZjN3br9CmQ010dVUtqoEDWzJx4gpq1HAjKMiTiIjjJCRk0KuXvM3nz99KUlIm338/EIBevd5j7dojzJq1kbCwxly8eI/Nm08wf/7HKmVv2hRNy5aBSCSVz+QUH9qMYf8vKH14m7L7Meg1aou2xBbpcXkYjn6nQWhbWFO46nsApOcOod+2N4Z9P6d41yq0TM0x6DIUafQ+kMoN6bKEB8onyc9Dpi79ObS0tAjuUJ9Tm6KQOFghcbTk1KYodPX1qP5e+T29e8E2TK3MaNJPPk6e2hSFvbcDFvaWlJaUcu98LNcPX6HV8PJx8tjqg3jU9qaKtTnFBUXEHL/O42sP+WrcjErr5m1GfLn31SMM//8naGtrM3bsWFasWMGECRNwdHRk4MCBfPXVV2rlzczMmDFjBmvWrOGrr75CW1sbd3d3qlaVL/Bs06YNBQUF/Pnnn2RlZeHs7MwXX3yBg8PL7d8N4Onpyfjx49mwYQObN29GIpEQFhb2Ugt7Xwbr4Kq0OfyD4nf9H0YCELtyH1GDvsfI3gqT5z6Ikvsgkb/aTaH+DyOpPrIj+fFpnB67SLGVJ0DyyRsc+fBban8zkKCZA8i5G8+RXt+o3cMfoG2bOmRk5vHLr3tITsnG18eBpUtG4uQkn2pNSc0m4TmD1cXZmqW/jWDW7M2sXXccW1tzpk7prtjKE6CoWMrCH3fx+EkqxsYGNHnPn+/n9KNKFfUzHm1bVCMzu5DFK0+RkpaHj4cVS77vipO9fBo9JS2P+KTyGNSI7VcoKS1j5g8HmfnDQUV659b+zJ4q3+YwOTWXLoNWK44tX3+O5evPUTfQmdU/a17gGdItBGmRlMhfIynILcCpqhN9ZvZR2ps6KyULrecG8+KiYvb8sofstGx09XWxdramy4Qu+L9XbpDEx8bz55Q/Fb/3/yGPJU9u6cPsz+TGQ9smnvJ6WHuRlIx8fNwkLPnmfZye7l2fkl5AfHJueT1E3qSkVMbMxSeZufhkeT08VybA/SdZnL+exLLvVLeArEjbUA8yc4pYHHGFlPQCfNwsWDKjBU5PX05SMgqITymfiYvYd1uuw29nmPlb+da0nZt7MXucfGF9kbSUH9de4nFiDsaGejQJdmLO+MZUMVW/D37bZj7yevjzHCnpefi4W7FkVofy/pCeT3xyeQhMxK7r8v7w4zFm/li+fWbnD6ox+4sWL7zmyujStx5FRSUsmXuA3JxCfP0d+OrHHkp7+Kck5iiFBKan5PJpv/K23rb2LNvWnsU/yIX//NoLkG/5OWlOZ1b/eowNy6OxczDn43HN6Ni2/D5q+0EtMrLy+WXpQZJTc/D1tmfpzwNwcpS/PKSkZpOQmKmkb+dePyn+fz0mjl17LuHkYMGhyEn/6PrLbp6gxNAM3ZAwMJEgS32EdNO3kC33BmuZSNCq8txskI4uus0GgKkllBQjS32MdNM3lN27UC5jaILeByPARAJF+ciS7yENn4YsUfVjVs/Te2ADioqkzP9uLznZhfgFOLLw115Ke/gnJWYr3ZsBgc58PaczSxcd5ffFR3FykTBzTmfFHv7POHvqPkkJ2bTrrDorCdC2bTAZGbn88stukpOz8fV1ZOnS0Tg9DV9MSclSHiddrFm6dDSzZm1k7dqj8nFyak/FVp7PuH8/ifPn77B8+YsdUiXnj1JkUgWDtn3QqmJJWcIDCn6ZiixdvjuWdhUrtCTPzQ4WFVLw0yQMwkZhPGkxsrxsSs4fo2jnihee60XU6xqCtFjKX0siKcwtwMHXibCvlcfJ7FTlcVJaWMz+3/aQ+3SctHSypt34LlQPLR8n8zLz2L1wG3npuRiYGGDjZkePLz9SbNIhEABoyf5O0LVA8IZZof3vDJFXwUDpPzMCXiWyNPXbhf43WZf17+K0XwUf6WreivC/RvGr23nqH2Oqfk3Jf5Ob/zIU71VQ3UDzDMR/i6JFf75Y6DWTM6bzm1YBa8OX3473dZEz8rs3rQIbxgx40yrwcbXeb1qFf8w+t3+7pYdmPni458VC/w95h6OcBAKBQCAQCASCdwcR6iMQCAQCgUAgeOsQMf6vHuHxFwgEAoFAIBAI3gGEx18gEAgEAoFA8NbxEjt/C/4mokoFAoFAIBAIBIJ3AOHxFwgEAoFAIBC8dWjriBj/V40w/AUCgUAgEAgEbx3v8hd2XxeiSgUCgUAgEAgEgncA4fEXCAQCgUAgELx1iFCfV4/w+AsEAoFAIBAIBO8AwuMvEAgEAoFAIHjrENt5vnq0ZDKZ7E0rIRC8NKV/vWkNWKE3+02rwMCMwW9aBWSJ9960CmS4u71pFdh0781PRcflv3kdvjJ+8/3huIXLm1aB0JKMN60CnU94vGkVaOaf+6ZVoJF98ZtWgTonot60Cmh3XvamVfjHRAe0f21lh1zd9drKfpsRHn+BQCAQCAQCwVuHtvabd2r8f0NMoggEAoFAIBAIBO8AwuMvEAgEAoFAIHjr0NZ50xr8/0MY/gKBQCAQCASCtw4R6vPqEaE+AoFAIBAIBALBO4Dw+AsEAoFAIBAI3jpEqM+rR3j8BQKBQCAQCASCdwDh8RcIBAKBQCAQvHXoiBj/V47w+AsEAoFAIBAIBO8AwvD/H2bx4sV8//33it9fffUVK1eufHMKPUdYWBhnzpzReDw5OZmwsDAePHjw31NKIBAIBALB/wza2q/v711FhPr8P+Kzzz5DR+ftWAmzdOlSTExMXvt51oYfY9nyg6SkZOHj7cCUSd0IDvbWKH/mbCyz52wh9k4CtrbmDB7Ukg97hSqOS6WlLPl9P9u2nyYpKRMPDzs++7QT74X6qS3PLjSAGp/1xLqOD8aO1hzsMoNH209UqrPdezWpN38EFv7uFMSncnVuBLeWKH863K1rKLVnDsTMy4Gcuwmcn7aMR9s0l7t20xmWrY4mJS0HH09bpoxvTXCQm1rZ5NQc5izcx7WbCTx8nEbfnvWZ+mkbFbnsnAIW/HqIvw7HkJVTgLOjhElj36dJI1+15a6LvMmyLTdIycjH29WCKYPrEuxvp1Z2f/RD1u+5Tcz9dIqlZXi7mjP6w1qE1nZSyEhLyli66SrbDt0lKS0fDydzPutfm9A6TmrLfIZMJmPZr8fYvvkC2dmF+Ac48dmU1nh621aa7/BfMSxdfIS4xxk4uUgY9kkzmraopjj+xy9HWfbbMaU8llYmDFw2Qa0OJ9cf5cr+CxTlFWLv40SLYW2wdtWsQ+zJGE5viiIzIZ3S0jIkDpYEd2qIX7OaauVPb4oias0harevj+9HrdXqcG3zUe4eOo80rxBLbyeCB7bF3LnyenjGw+hrnFy0Gac6VQmd0EuRnhzzkJu7okm/H09hZi6Nx/fEuW41lfzrIm+xbNt1UjIK8HaxYMrHwZr7w8lHrN97i5j7GeX9oVctQoMcFTLSkjKWbr4m7w/pT/tDvyClPqMOmUzGzpXHObbrEvk5hXhUd+SjcR/g5GGjMc+xXRc5ue8q8fdTAXDztafLkKZ4VC/XJ3JtNBeO3SLxURr6Brp4+TvTbVgzcFS2KNZtv8ayjZdIScvH213ClJGNCA5wRB37j99j/c7rxNxNpVhairebJaP7BRNa11Uhs2XfTabMPayS93LkEAz0K3+k96pRlQ+83DHR0+N2egZLzl3hcXaORvnmHi6MrV9bJb37hp1Iy8oUvy2NDOlfy4/aDnYY6GgTl5PHqdRokgvTlfLJZDLObTjKjQPy+8LO24nQIW2wdNHcJ++diuHCliiyEtMpKy3D3MGSWh0aUrVJ+X2xZsSP5KRkqeSN7VKbARPeV9Fhy/IoDu+4TF5OIV5+Dgz49H2cPTX3hyf3Uti87Dj3byWSmphNnzEtaB1WV0mmIL+ITb8f59yx22Rn5OPua0efsS2pU6GsdScTWH70CSk5xXjbGTO5gyfBHuYaz/2MCw+y6bfkCj52JmwdF6RWZvelFD4Lv0ULP0sW9Vf/zBIIhOH//whTU9M3rYICCwuL136OyD3nmTVrM1/O6EntIE/Wb4hiyLBf2L1zGo6Oliryj5+kMnT4r/ToHsLcOf25cPEeX8+MwNLSlA/elw+kC3/ayY6dZ/n264/w9LTj+IkYRo/5nfVrP8XPz0WlTF0TIzKu3OXOyr003/z1C3U2dben1e7vuP1HJMf6zsK2UQ0aLh5DYUoWD7ccB8CmgR9N10/nwowVPNoahWuXxjSLmMHu0LGknrmpWg9/XWPWD3v5cmI7atdyZf3WcwwZt4bdEaNwtLdQkS8uLkEiMWHEwFBWhp9Sq2extISBo1djZWnCj7PDsLetQkJSFqbGBmrlI4/fZ9Yf55gxvD61q9sQsTeWoV8fZNfijjjaqPbLc9eTCQl0YHy/IMxM9Nly4A4jvz1MxNw2+HlZAfDjmovsOHKPb0Y3xNPZnKgL8YyedYTwOa0VMupYsyKa8NWnmP5NR1zcrFj5+3HGDlvL+h0jMTFRr//Vy0+YPnEzQ0Y1pUmLahw9eJNpn29mycoB+NcsNyw9vWz46fc+it/a2loczFQt7+zWaM7vOEXrMZ2QOFpxauNxNn25hkG/jELfSL0OhqZG1O8RiqWTFTq6Otw7F8ven7djbGGMe5Dyy2xibBxX9l/Axl29IQ1wc+cJbu05Sf1hnTFzsOLG1mMc/m417eaPRk+DDs/IS8nk0rr92FRzVTlWUlSMhZsdHk0CObFwg9r8kVEPmLX8HDOG1aN2NVsi9t1m6DeH2PVzRxxtVB0C564nEVLLkfF9nvaHg3cZ+Z/DRHzfBj9P+b3849pL7Dh6j29GNsTTuQpRF+MZPfso4bNbK2TUsTf8FH9tPMPASe2xc7Zk9+oTLPgsnG9XD8NQQ3++dekR9Vr44+XvjJ6+DvvWn2LBZ+F8vXIoEhszAG5fekSzznVwr+ZAWWkZW/84yoLPw2n3RxjGRnryejh8h1m/nmDGmFBq+zsQsfs6QyfvZteyXjjamanWw9V4Quo4M35QfcxM9dmy7yYjp+8h4ueu+PmUG6amxvrsWfmhUt4XGf1dq3nTqaoXP56+SHxOLmF+vsxsFsLI3QcpKCnRmC+vWMrIyINKac8b/SZ6esxuGcq1pFRmHj1JVlER9qYmeDoWq5R1aVs0l3edovmoTpg7WnFh03F2zlzDhz9pvi8MTI2o3S0UiZMV2ro6PDwfy+HF2zEyN8Y1UH5fdJs9GFmZTJEn/XEyO2euoV6zqirl7Vp7mj0RZxk2tR32LpZsXxXN7PERzA0fgpGG/lBUVIKNowX1mlVjzc8H1cr8MXsPT+6lMmJ6eyyszTix7xqzx62nydia2JnLy428nMLsnfeY3tmL2m5ViDidyLDl19n5aW0cJYZqywXIKShhUsRtGnhZkJYrVSsTl1HI3N33qeNRRWM5/4to64gY/1fNOzzZ8d/lq6++Yvny5axcuZKBAwcyZMgQDhw4QGFhIb/88gv9+vXjk08+4eLFiwCUlZXx66+/MmrUKHr37s3YsWOJjIx84TmeD/WRSqWsWbOGESNG8NFHHzFmzBgOHTr0Ql1f9tyHDh3i008/5aOPPmLo0KEsW7ZMcaxiqM+dO3eYOHEivXv3ZtKkSa8kxGfFykN069aQHt1D8PKyZ+rk7tg7SAhff1yt/PqIKBwcJEyd3B0vL3t6dA+ha9cGLF9RPpBv33GG4UPfp0kTf1xcrPmoVyiNG1Vn+Ur19Ra39wwXpq/g4daol9K52vAO5D1K5sz4X8i6+YjYZZHErthLjQlhChn/sV2J/+s8V2eHk3XrMVdnhxN/8AL+Y7upr4d1J+nWsTY9OtfBy8OGqZ+2wd7OnPDN59TKOztKmDahDZ3bBWJmqv5Bt3nHRbKyC1g8txd1arni5GBBcKAb1Xzt1cqv3B5Dt5be9HjfBy8XC6YMqYu9tQnhkbfVyk8ZUpfB3WoQ4GONu2MVPu1XGzcHMw6ffaKQ2X7kHsN6BNAk2BkXezM+bFuVxkGOrNh2Q22ZIPfmRaw5w4AhjWnasjpePrZM/7YThYVS9kde05gvYs1p6jbwpP/gxrh7WNN/cGOC63kQsea0kpyOrjZW1qaKP4mlqhErk8m4sPM09XuE4tOwOtZutrQe24mSIikxxzTr4BLgjk+Dali52GDhYEntDvWxcbcj7sZjJbnigmIiF2zl/VHtMTBRbyzIZDJu7T2Nf6dQXOpVx8LFlvojOlNaLOVh9FWNOoD8/j+5eAs1ujXFxFaictwx0IeaYc1xqVddYxkrt9+Q94dWPni5mDNlcF3srY0J33tLrfyUwXUZ3NW/vD/0DVLfH7oH0CTYSd4f2lSlcaADK7ZX3h8ObjpD2z6NqP1eNZw8bRk4uQPFhVJOH7iuMd+QaZ1o1rkOrj52OLhZ0++ztshkMmIuPFDIjJvbi0ZtauLkYYOLtx0DJ7UjPSmb67Ep5fWw+TLdWlejR1s/vNwkTBnZGHtbU8J3qj/3lJGNGdwziIBqtrg7W/Dpxw1wczLn8KmHSnJaWmBjaaz09yI6VPVi4/XbnHqSwKOsHBaevoi+jg7vub1gxgTILCxS+nuebtV9SM0v4KczF4lNzyQ5r4ArSalkFecqlyOTcWX3aep0DcWzQXWsXG1p/on8vog9rvm+cKrhjmf9akicbTC3t6Rmu/pYudmRGFN+XxiZm2AsMVX8PTgfSxV7CdWDlF9cZTIZezeepVO/EOo2qYqLpw3DprajuEhK9H7N/cirugMfjWpOw5Z+6OmpzqoXF0k5e/QWvUY2pVqgK/bOErp9HIqNgznhpxIVcquOx9G1rh096tnjZWfMlI6e2JsbsP45GXV8ueUO7QJtCHRTfVkEKC2TMXH9bUa3csXFUvMLxP8iItTn1fMOX/p/n6NHj2JmZsZ3331H69at+f3331mwYAG+vr7MmTOHWrVqsWjRIoqKiigrK8PKyorx48ezYMECunfvTnh4ONHR0S99vkWLFnHixAkGDhzIggULGDJkCIaGLx4UXubc+/fvZ9myZbRs2ZJ58+YxceJE7O3VG4WFhYXMnj0bR0dHZs+eTY8ePVi9evVLX4c6iotLuH7jMY0bKRsfjUKqc/HSfbV5Ll26T6MQZfnQxn5cu/4IqbQUAGlxCfoGekoyhoZ6XLhw91/p+wybBn7E/3VeKS1u31msg33R0pU/UGwa+hH3l7LRHrf/HLYh/irlFUtLuH4znsb1vZTSG9X34uKVxyryL8uh47cIDHBm5ve7CWk9l/a9FvPbimOUlpapyBZLS7l+J41GQcrhC42CHLh4M0VFXh1lZTLyCqSYP/ciUiwtxaDCQ9ZAX4fzMckay4mPyyQtNZd6DT0Vafr6ugTVcePqpSca8127/IR6IZ5KafUbeXL1snKexw/T6dBiAV1b/8z0iZuJe5KhUlZWUiZ5Gbm4BZaXp6uni3MNN+JvvlybyGQyHl6+R3pcGk7+ysbLwaWReNTxwa2Wp4bckJecSWFmLvY1y/uFjp4uttXdSb2tuR4Arm85ikEVE7yaqYZ4vAzF0lKu302nUaCDUnqjQMd/0B/0y8stKcVAT/mRZWCgy/kbmvtDakImWel5+Nf1UKTp6eviG+jK3etxL6ULyA270pIyTMw0j58FuXKD2NxM3oeLpaVcv51Co2DlmcJGdVy4eKNyQ+8ZZWUy8vKlijKfkV8gpflHq2nS60+GTY3kRmzl9WpnYoylkSEXE8vlSsrKuJ6cSjVrzbMlAEa6OvzeoRXLOr7PtND6eFgoh6XUc7LnbnomE0OCWdW5NQs+aEIrT9Uww5zkTPIzc3F+rt/q6Oni6OdG4q2Xvy+eXLlHZnwaDn6qs1EApdJSYo9doVqzQLS0lL3FKfFZZKXlEVDPXZGmp69LtUAXYq+9fH9QOWdpGWWlMvQqzLroG+hy4YE8BKm4pIzrcbk08rFQkmnka8HFh9kay95yNonH6YWMaqn+egF+OfAIiYku3eupfwYLBM8jQn3+i7i5udGtm9xr26VLF7Zt24aZmRktW7YEoHv37uzfv5+HDx/i6+tLWFi5F9jW1pZbt25x8uRJQkJCXniu+Ph4Tp48ybRp06hZUx4LaWenOSzgeXR1dV947s2bN9OhQwfatm2rkPP2Vh9bHxUVRVlZGSNGjMDAwAAXFxfS0tL4448/KtVDKpUilSpPaz6bic3IzKW0tAwrK2UPiLWVGSmp6gfR1NRsrCvIW1mZUVJSRkZmLrY25jRuXJ2VKw9Rt443rq7WnDx1i4OHrlBaKlNb5t/FyN6SgiRlY7EwKQNtPV0Mrc0pSEzHyN6SQjUyRvaq3teMzHxKS2VYWSl7nq0tTUhJy1WRf1kex2Vw6tx9OnxQk6ULevPwcRozv4+kpLSM0YObKuuQXURpmQwrC2WjyMrciNTM+Jc634pt18kvKqFN43KDoXGQIyu33yC4hh2u9macvJzAodOPKS3T3BZpqfJrtrRSDi+ytDIhMUE1Bvj5fJYVvPeWliaK8gD8A5yY8Z9OuLhZkp6ex8qlUQztu4JeC0ZgVKXc45qXKc9jYqGsg7G5KdkpmRp1ACjKK2TJxwsolZaipa1Fi2FtcQ8sN95vHr9G8t1Ees8bXGk5hVlyHQzNlXUwqGJCfqrmeki59Yh7Ry7S+rvhlZZfGRk5mvqDIakZhS9VxortN+T9odFz/SHQkZU7Ygj2f9ofrry4P2Sl5wFQRaLctlUkJqQlaa6HimxeehgLazP86nioPS6Tydjwy0G8A5zx9ZCHoWVkFcrrQaLsjbeSGJGanv9S512x8RL5hVLaNCnvA54uFsya2BxfD0ty84v5c8tVPhq3jW1LeuDubKG2HImhfODMquCtzywqwtZY82zBk+xcfjx9kYdZ2Rjr6dLB14s5LRszdu8REnLldWtnakxrb3e237rLxhux+FpZMKR2AEcS8onJLHfC5GfI+6RxhfvCyMKU3Je4L/4ctoCyp/dF6OC2uNTyUit7/+xNivIKqdYsUOVYZrpcB/MK97q5xITUJM3G94swMjbAp4YT21aewMndCnOJCdEHbnD3RjxuVkbyc+dLKS0D6+deZgGsTPVJzclUW+6D1AJ+2PuA1cNroqsh5OXCg2w2n03SGPf/v46W9qt59grKEYb/fxFX1/I3dm1tbczMzJTSzM3lnpTsbPkAtH//fg4dOkRKSgrFxcWUlJTg7u7+Uud68OAB2tra+Pn9swU+lZ07KyuLjIwMatSo8VJlPXnyBDc3NwwMyr1Wvr7qF4g+z9atW9m0aZNS2obwIUq/Kzh0kMlkKl6eF8kDaCE/MHVyd6bNCKdN+2/Q0tLCxcWarl0asGWr+lj4f8Kzc6oo9Vy6OpmKSUqHUb4wmUz1Wv+WjmUyrCQmfDOlAzo62tSo7khySg7L1kSrGP7lKlY8oYyXUWHX0fssCr/C4qlNsbIwUqRPHVKP6YtO0nbkdrQAFwczurb0ZsuBOwqZfbuvMmfmbsXveYs/fKpLBU1kwAu0Uddvnk9qGKr8YhtQ05nu7RZx6I+93D1THsLSZZpy7PVzWlTaNwH0jQzou2AY0oJiHl25z9Hl+7Gwk+AS4E52ShaH/9hHt696o1vBs/gg6grnlpUvEH9v4kcaddBUDdKCIk79spW6gztgUOXFoSMvomKfhJfrk7uO3WfR+sssntJMuT8Mrsv0xSdpO3qHvD/Ym9G1hRdbDpbPxp366xpr5u9R/P5kdpj6E8vU66eOveEnOXPwBp8v7IOegfpH5rof9/HkbjITf+4LlCodU3NbvLAfAOw6FMui1edY/HUbpZeHQD97Av3KPbu1/R3oOmIja7ZdY9roxgA0cXNmRHAthcw3x049PbXyIKKlJu15bqdlcDut3AkRk5LODx80pb2vJ79fuPq0DC3uZmSy5koMAPczs3A1r0L6lfv8/s0sRd52kz8sP+nzvMRgpW9kQNjcYUgLi3ly9T7Rq/ZTxU6CUw13FdmbBy/iGuSNiaUZJ/ZfZPncvYpjn33f47krf06FSs/+cgyf3p7fZ0XySefFaOto4e5rT8NW/iRduqcsqNoV1V5+aZmMz8NvMbqVKx42RqoCQF5RCRPX32JmN28kJnpqZQSCigjD/7+Irq5ydWtpaSntwvPsYVBWVkZ0dDSrVq2iX79++Pr6YmRkxI4dO4iNjX2pc+nr679YSAMvOve/Kfvv0KVLF9q3b18hVb6zjcTCFB0dbVJTlXekSEvPVfHqP8PaugopFeTT03PR1dXGwkLuAbK0NOOXRUMpKpKSmZmHra05837YjrOT5sWkf4eCxHSM7ZWn1g1tLSiTllCYlq2QMVIjU3EWAEBiYYyOjhapFbz7aRl5WFv+88XeNtZm6Opqo6NTHlrh6WFDSlouxdIS9PXK+7KkigE62lqkZhQo65BVqGS4qSPy+H2m/RzNwi+aEBKoHCpkaW7I4qnNKCouJTOnCFtLI+avuoCzXfl1NW7qi1/AczsBFcsXKaal5mJtU94PMtLzsLTSvMuUlbUpaRXqMD09T2Xm4HmMjPXx8rGlQF+XvguGKdJLpXId8jJzMbUs1yE/Kw9ji8p3utLS1kLiIG97W0970p6kcnpzFC4B7iTdTSA/K481E35XyMvKZDy5IY//bjN3FNpPA1fLni7WLMzKxUhSrkNRdr7KLMAzcpMyyEvJ5Pi88PLyn75tRvSZSdv5ozGzqzwsBEBi9rQ/ZKrrD5WHGkZGPWDaopMsnPgeIbWUQ4UszQ1ZPKVCf/jzolJ/CGzkg+dzO+88C+HLTs/F4rm2zM7Mo4qa9RkV2bf+FJFrovl0/kc4e6nfeWbdj/u4fCKWz3/qi6VtFSiR36cSc0N5PVTw7qdlFmAlecF9cfgO0+YfYeH09wmp41yprLa2FgG+tjyMy1SknYlL5NZzBrve035hYWhIxnNef3MDA5WY/cqQAXfSM3AwLa+7jMJCHmcpj6uPs3Po2vJ97lcp39Wn9GmfzM/IxeS5PlmQlYeR+YvvC/On94W1hz0Zcalc3BqlYvjnpGTy5Op9PvhM/sJXu7E3Xn6DFMdLno4PWem5SKyf6w8ZeSqzAH8XOycJ0xb1prCgmIK8YiTWpvw8YxtOT2PuLYz10NGG1BzlRc/pucVYmaoa7XlFpVx7kktMfC7fbpe/3JbJ5O9JNSZH8cfHNTA31iUuo4iRq8rXJzybAKsxOYrIz+rgalV5X3vb0RIB6a8cYfi/pdy8eZOqVavywQcfKNKSkpJeOr+rqysymYwbN24oQn1e1bmNjIywsbHh2rVrL+X1d3Z25tixYxQXFyteGl7mBUZPTw89vQoD4lNnmr6+Lv5+LpyIvkmrluWerejom7RoHqC2vMBADw4fVl5EFnUihhr+rioLtgwM9LCzs0AqLWX//ku0af3P4p0rknLqBi7tGyqlOb0fTOq528hK5BeXcvIGTi3rcGPh5nKZVsEkR6suCNTX08W/miMnztylVbPy9QvRZ+7S4j3VLRZfltq1XNi17yplZWUKY/LBozRsrE2VjH65Djr4e1sRfSmeVg3LZ7CiLyXQvJ7qTkjP2HX0PlN/jmb+Z6E0ravZuDHQ18HOyhhpSRn7ox/R+rlwIBMTA6WdemQyGVbWppw9eZ+q1eWGo1RaysXzDxk5roXGc9So5czZk/f5sG8DRdqZ6HsE1NKsV3FxCQ/upeLTwlVhrD/TwURiysNL97DzlOtQKi3lybWHhPZvqbE8tchklD41Xt1qedD/R+UQnL0/78DSyQq3to0xd7RW0sHQwpTEq/eQuD/VoaSU5JgH1PpQvQ5VHK1pPWeEUtrVDYeQFhZTu19rjK1evOUgPO0PXpZEX0qgVYMK/aG+5vrcdew+UxedZP6njWka/JL94eQjWj8XDmRobKC0U49MJsPc0oQb5+7j6iP3kpdIS7l96ZF8681K2Lf+FLtXn2Ds971wr+agclwmkxH+434uRt3is4V9sHGwUK0HXxuizz+hVePyuPbo809oHuKuuR4OxTJ13mHmT21F0wbqt+StqEfM3VRFiBFAQUkJBbnKO/WkFxQSaG/D/Ux5iJOuthb+ttb8eVnzImd1eFiY8zCrPCwmJjUdxyrKL5NOZqaU6qEw1p/paWxhypMr97B57r6Iv/GQBn3++X3xPDcPXcKoigludXwAeQiOUcX+YGXCtbMPcPct7w83Lz2m5/Cmf08HDRga6WNopE9ediFXz9zni/flY6C+rjb+TqZEx2bSqkb5vRodm0lzP1XHkqmBDtvHK4fvhJ9M4PTdLBb2qYazpSE6WloqMj/te0heUSmTny4cFggqIgz/txR7e3uOHj3KpUuXsLW15dixY9y5cwdb25fbg9vW1pYmTZrw66+/MnDgQNzd3UlJSSErK+uFawRe5tw9evTg999/p0qVKgQFBVFQUMCtW7do00Z1P/jGjRsTHh7Or7/+Srdu3UhOTmbnzp1/r0LUMHBAcyZ+8Sc1/F0JCvQgYuMJEhLS6dVTvi///B+2k5Scxfez+wHQq2dj1q47xqw5mwnr3oiLl+6zefNJ5s8boCjz8uUHJCVnUr2aM0lJmfy8OJIymYzBH6t/MOmaGFLFu9zjbOphj2UtL4rSc8h7nEyd7z7G2NGa4wPmAHDzt51UG9WJuvNHcPv33dg29MNnUBuOfvQfRRk3ftpCm6MLCZjYi0fbT+DaqRGOLWuzO3Ss+nr4qCETv9xCjeqOBAW4ELH1PAmJWfTqGiyvh8UHSErO5vuvuyryxNxOACAvv5j0jHxibiegp6uDt6e8jT/sVpfVG87wn/l76RNWj4eP01my8jh9w+qr1WFAp+p8seAENbytCKxmw4Z9sSSk5NGrjTyka/6qCySn5zNnvDwUYdfR+0xaGMWUIXWpVdWGlKezBYb6OpiZyF8OL99KISktn+qeliSl5bMo/LK8LbpqftnU0tKiZ596rFoWhbObJS6ulqz6IwpDQz3eb1ue7+sp27CxM2PkWPnLQFjveowcuIrVy08Q2qwqxw/f4uzp+yxZOUCR56d5f9G4qS/29lXISM9nxdLj5OUV4d+slooOtTvU58ymKCSOVkgcLDm9KQpdAz2qv1euw56F2zC1MiO0r1yH05uisPN2wMLektKSUu6fj+XGkSu0GC5fR6NvZIC1m/L9r2egh5GZMRYV9kHX0tKiauv63Nh+HDN7S0ztrbix/Tg6+nq4hZS/GJ/6ZStGlmbU6tUSHX1dlXL0nu4a9Hy6tLCY3MRyT25eSgYZDxKJt8lTbNU5oJMfXyx82h+q2rBh/20SUvPo9cHT/rD6AslpBcwZ1wiQG/2TfjzBlI8r6Q+3U0hKK6C6h0TeH9ZfkfeHLqqL3p+vhxbd6xG5JhpbZ0vsnCREro1G31CP+i3L8y37bgcSazO6DpW/DOwNP8n25ccYPK0T1vbmZD2dDTIw0sfQWK7PuoX7OH3gOqP+0x1DI32FTKFhCYZPQ4IGdKvFF3MOUsPXhkA/ezbsvkFCcg69OsjPPf+PUySn5jFnkrwP7DoUy6Q5h5gyshG1qtuR8nS2wFBfR7ED16I/z1Kruh3uThbk5hezeutVbt5NY8aY8u+RqGPnrbt09/MlISeP+Nxcuvv5UlxayrGH5Ytax9WvTVpBAaufhu309K/K7bR04nPyMNbTpb2vJx4Sc5acv6LIs+PWXea0DKW7nw9Rj+LxtbLgfS83Dico74ilpaVFzXb1ubAlCnMHK8wdLLmwRX5f+ISW3xcHf9qGiZUZDXrL6+TClihsvBwwf3pfPLoQy+2jVwgd0lapfFmZjJuHL1O1aU20ddS7ibW0tGjdoy47Vp/EzlmCvYslO/48ib6BHiHvl4fF/vbNTiQ2ZoqXgRJpKXEPUp/+v4z0lBwexiZhYKSPvbN87dWV0/eQycDB1ZKkuAzCFx/GwcWSLsHl907/UCcmRdymhrMpga5V2HAmkYTMIno2kL+E/LDnAUnZRczpWRVtbS187ZVnIaxM9TDQ1VZKryhjZqSrNv1/FS0tEeP/qhGG/1tKq1atePDgAQsXLkRLS4tGjRrxwQcfKLb7fBkGDx5MeHg4y5YtIycnB2tra7p06fJKzt20aVOkUim7d+9m9erVVKlShfr11RuFhoaGfPHFF/z+++9MnDgRZ2dnevfuzfz581/6WtTRtk0dMjLz+OXXPSSnZOPr48DSJSNxcpJ7mVJSs0lIKDdQXJytWfrbCGbN3szadcextTVn6pTuij38AYqKpSz8cRePn6RibGxAk/f8+X5OP6poiHm2Dq5Km8M/KH7X/2EkALEr9xE16HuM7K0wee6jTbkPEvmr3RTq/zCS6iM7kh+fxumxixR7+AMkn7zBkQ+/pfY3AwmaOYCcu/Ec6fWN2j38Adq2qkFGVj6/LDtKcmouvl62LF3QG6enHsiU1BwSKixk7NxnieL/128msGvfVZwczDm0fTwADnbmLP+pL7MW7qVj71+xs6lCv571GdKvsXodQj3IzCliccQVUtIL8HGzYMmMFjjZyj2BKRkFxKfkKeQj9t2mpFTGzN/OMPO38m1fOzf3YvZTY7BIWsqPay/xODEHY0M9mgQ7MWd8Y6qYVh5q1mdgCEWFJcz7zx5ysgvwC3Bi4W+9lWYGkhKz0dYuD6ytGejCzDldWbLoCEsXHcHJRcK333dV2sM/JTmbL7/YQmZGPhaWJtQIcOKPNYM4r2WhokPdLiGUFEk5uCSSwtwCHHyd6P5VH6W9yrNTspRivaVFxRxcsofctGx09XWROFnTZnwXqjXWbNhWRrUOjSgpLuHcikiK8wqw8nKm6eS+Snv456VlgfbLxbo/I/1ePIe/XaX4fXHNfgCMmnkye6y87do2dicz+2l/yCjAx9WCJdObl/eH9Ir9IVbeH5aeYebS5/rDc2UWFZfJ+0PS0/5Qx4k54xu9sD+0/rAB0iIp6xbsJS+nEE8/R8bP7aU0M5CelK3UFke2XaBEWspvX25RKqtD/8Z0HPieXGb7BQDmjVurJPPd583o+oF8tq1tM28yswtZvOY8Kel5+LhbsuS7djg93cM/JT2f+OTyELOIXTcoKS1j5s/Hmflz+ZjQ+f2qzJ7YHICc3GK+XHCUlIx8zEz0qe5lw+oFnahZrfLNG7bcvIO+rg7Dgmtiqq/H7bQMvjwSrbSHv7WJEWXPRbyb6usxsm4gEkMD8qQl3M/IYsrBKGLTMxUyd9IzmRV1hr41/ejpX5Wk3Hz+uHCNEqMHKjoEdg6hpFjK8d8jKcorwNbHifbTle+L3NQstLSV74vjv+8hN11+X1g4WtNiTBe8GynfF0+u3CM3NYtqzStf5Nq+d32Ki6Ss/GE/+TmFePk58sWCnkozA6lJ2Uo6ZKTmMHXgCsXvyPAzRIafoVqgC9MW9QYgP7eIDUuOkp6Sg0kVQ+o1qUqPoe+hd7l8h7a2tWzIzC/hl4OPSckuxsfemN8G+uP0dA//lJxiEjJfPvRKIPgnaMlUVhEKBG8xpX+9aQ1YoTf7TavAwIzKd3X5byBLvPdioddMhvuLQyFeN5vuvfkPzMTlv3kdvjJ+8/3huIXm0LL/FqElqmtx/tt0PqF+96H/Js38//muYq+KRvaqHxH7b1PnxMt94+V1ot152YuF3lJiP+j42sr22bfjtZX9NiM8/gKBQCAQCASCtw5tsZ3nK0cY/u8gS5cu5fhx9V+3DQ0NZejQof9ljQQCgUAgEAgErxth+L+D9OzZk44d1U+fGRn9b2/9JRAIBAKB4P8HYjvPV48w/N9BzM3NFR8LEwgEAoFAIBC8GwjDXyAQCAQCgUDw1qH1lsX479u3jx07dpCZmYmzszMDBgygevXqamUXL17M0aNHVdKdnZ354Qf5boBHjhzhl19+UZFZs2bNa/tYqjD8BQKBQCAQCASCSoiOjmblypUMHjyYqlWrcuDAAb777jsWLFiAtbW1ivzAgQPp3bu34ndpaSmff/45DRo0UJIzMjLixx9/VEp7XUY/CMNfIBAIBAKBQPAW8jpj/KVSKVKpVClNT08PPT09tfK7du2iefPmtGgh/7jcgAEDuHz5Mvv37+ejjz5SkTc2NsbYuPwbQGfOnCEvL49mzZS/Gq6lpYWFhcW/vJqXRxj+AoFAIBAIBIJ3iq1bt7Jp0yaltO7duxMWFqYiW1JSwr179+jcubNSes2aNbl169ZLne/QoUMEBARgY2OjlF5YWMjIkSMpKyvD3d2dnj174uHx+r7FIQx/gUAgEAgEAsFbh/Zr9Ph36dKF9u3bK6Vp8vZnZ2dTVlamsjGKubk5mZmZLzxXRkYGly5dYsyYMUrpjo6OjBw5EldXVwoKCoiMjGT69OnMnTsXBweHv3dBL4kw/AUCgUAgEAgEbx1aWq9vcW9lYT2a0NJS/Uq6urSKHDlyBBMTE+rVq6eU7uvri6+vr+J31apV+eKLL9izZw+DBg36W7q9LGKHVIFAIBAIBAKBQANVqlRBW1tbxbuflZX1wu3RZTIZhw8fJjQ0FF3dyv3t2traeHl5kZiY+G9V1ojw+Av+p5Cl3X/TKjAwY/CbVoEVkj/etAr03+L+plVA8qYVAIa613jTKoD2mx/KZbnOb1oF6ppbvGkVIC7lTWvAss6Zb1oFjHXf/LdijFKy3rQKZLZp/qZVeCvGyX/K2/IBL11dXTw9Pbly5YqS1/7KlSvUrVu30rw3btwgMTGR5s1f3BdkMhkPHz7ExcXlX+usiTf/tBAIBAKBQCAQCN5i2rdvz88//4ynpye+vr4cOHCA1NRUWrVqBcC6detIT09n9OjRSvkOHTqEj48Prq6uKmVu3LgRHx8fHBwcFDH+Dx484OOPP35t1yEMf4FAIBAIBALBW8fb9AGvkJAQcnJy2Lx5MxkZGbi4uDB58mTFLj0ZGRmkpqYq5cnPz+f06dMMGDBAbZl5eXksXbqUzMxMjI2N8fDw4Ouvv8bb2/u1XYeWTCZ7e2pVIHgBsuSlb1oFtAzM3rQKItTnKVrVPd+0Cmi5ilAfAFnumw9xKTR/80ENhnGxb1oF0uxsXiz0mnk7Qn3i37QKZFq++XqQGPR+sdBbSlxY29dWttOGyNdW9tvMm39aCAQCgUAgEAgEFXhbYvz/PyGqVCAQCAQCgUAgeAcQHn+BQCAQCAQCwVuH9lsU4///BeHxFwgEAoFAIBAI3gGEx18gEAgEAoFA8NYhYvxfPcLwFwgEAoFAIBC8dWhpiVCfV414lxL81wgLC+PMmTNvWg2BQCAQCASCdxLh8Rf8T7Nu6yWWhZ8lJS0Pb3crpoxpRnAtZ7Wy+4/Gsn7bJWJiUyiWluLtYcXogSGE1ndXyMTeT+WnZdFcv5VEfGI2kz9pSv+wOpXqsHbTGZatjiYlLQcfT1umjG9NcJCbWtnk1BzmLNzHtZsJPHycRt+e9Zn6aRsVueycAhb8eoi/DseQlVOAs6OESWPfp0kjXxVZu9AAanzWE+s6Phg7WnOwywwebT9Rqc5279Wk3vwRWPi7UxCfytW5EdxasktJxq1rKLVnDsTMy4Gcuwmcn7aMR9s0l7vuZALLjz4hJacYbztjJnfwJNjjxXtYX3iQTb8lV/CxM2HruCC1MrsvpfBZ+C1a+FmyqL+fZh0ib7Jsyw1SMvLxdrVgyuC6BPvbqZXdH/2Q9XtuE3M/nWJpGd6u5oz+sBahtZ0UMtKSMpZuusq2Q3dJSsvHw8mcz/rXJrSOk9oyAdZGRLNs1VFSUnPw8bJjyucdCa7toVY2OSWbOfN3cS3mCQ8fpdH3w0ZMndhRWc+DV/lt2SEePUqjpKQUN1drBvZ7j87tNffLtetPsGzlYVJSs/HxsmfKxM4E11H/zYPklGzmzNvOtRtPePgolb4fNWbqF12UZDZsOsm2neeIvZMIgL+fM5+OaUvNAPX9HGDd5vMsW3ealLRcvD1smDK2JcGB6j9Dn5yay5yfD3L9ViIPH6fTt0cwU8a1UpKRlpSy9M+TbIu8SlJqDh6uVnw2simhDbw06hARHs2qFUdJTcnBy9uOzyd1pHYd9W0BcO7sXeZ/v4u7d5Kwsa3CgEFN6NGzoeL4nTuJ/Przfm7ciCMhPoPPvuhAn36hGssDWLfjBss2XiYlvQBvNwlTRjQgOMBBrez+qPus3xlDzL00+RjlJmF039qEBivXW3ZuEQtXnOOvE/fJyinG2d6ML4bVp0k91S+DPkMmk7H8t+Ns33yJnOxC/AMc+XTyB3h6V77n/+EDN/lj8VHiHmfi5GLB0NFNadKiquJ4tzaLSYzPUskX1qshk6d3VvzeEH5SqS0+m9ThBW1xjx+ea4v+g5rQo2cDJZkD+6/yy8/7efI4DWcXK0aP/YDmLTV/V2PdtsssW39B/rzwsGLK6PcIrqn+Xt5/7A7rt18h5k6qvC3cLRk9oAGh9cr7/IZd19i+L4bY+2kA+PvaMn5ICDWr22vUAeRt8cevR9m++QI52YX4BTjx+ZQ2eHrbVprv0F8xLF18mLjHGTi5SBj+SXOatqimOP77L0dY9tsxpTyWViacjP7f3cdfhPq8ekSVCv5niTx4k1k/HWZ43/psXdaX4FrODP18C/FJ2Wrlz11+QkiwG0vndmXzH32oH+TCyElbuXE7SSFTWFiCi4M5E4aFYmNp8mId/rrGrB/2MmJgKNtWD6dOoCtDxq0hPjFTrXxxcQkSiQkjBoZSzUf9w6FYWsLA0auJS8jkx9lh7N34Cd9M6YCdTRW18romRmRcucupT35+ob4Apu72tNr9HUlRV9lRexiXZ4VT/8fRuHUtN2BsGvjRdP107qz5i+2BQ7mz5i+aRczAul41tWVGXk5h9s57DGvuwpYxQdRxN2fY8uvEZxRWqktOQQmTIm7TwMtCo0xcRiFzd9+njof661focPw+s/44x/CwALYubE+wnx1Dvz5IfEquWvlz15MJCXRg6Zct2LygHfUD7Bn57WFu3E1TyPy45iIRe28zbWg9di/uRK/WvoyedURJRkmHfZeYNXcnIwY3Z9v6sdQJ8mDIqGXEJ2SolVf0h8EtqOar3hg0r2LMiMEtiPhzFDs2fkrXTnWZ8uVGjkffUq/D3ovM+n4bI4a0ZNuGCdSp7cGQkUtfoIMpI4a0pFpVR7Uyp8/dpV2b2vy5bCTr14zBwUHCoOFLSErKVK/DgRvM+vEAw/uHsHXlIPm9OSGC+ERVAxHkfd7Swpjh/UOo5q3+Re3HJceI2HaRaZ+2YvfaIfTqHMToSVu4cStRrfy+PZeYO3sng4c2Z/2msQTV9mDUsGUkxKuvh7gn6YwesZyg2h6s3zSWj4c0Y853Oziw/6pCprBAipOLJWPHt8Ha+sUf8os8cpdZv51k+EdBbP21C8EB9gydupf4ZA198moiIXWcWPptazYv7kL9Wo6MnLGfG3fKvwZaLC1l0KRI4pJy+HF6S/Ys78E340Oxs6p8vFq74hTrV5/h00nvs2ztACytTBg3PJy8vCKNea5dfsKXE7fyQfsAVm38mA/aBzB94lauX4lTyPyxdgA7Do5R/C1c8iEArT4IUMjs23OZubN38vHQ5oRvGkNQbXdGD1teaVt8MmI5QbXdCd80hkFDmvF9hba4fOkhkz5bR7uOtYnYMo52HWvzxYS1XL3ySG2ZkYduM2vRMYb3qcvWPz4iOMCRoRO3V/K8iCMk2JWlczqyeWkv6gc5M3LKDm7EJitkzlx6QrsWvqxa0I31i8NwsDPj48+2kqRhzHnG6hXRhK8+xYTJbVi+bjBW1qaMGbam0ra4evkx0yduok37mqzeNIw27Wsy9fNNXLvyREnO08uG3Yc+Vfyt3Ty8Ul0E7x7C8Bf8LS5dusT06dMZMGAAgwYNYvbs2SQmyh+8JSUlLFu2jKFDh9K7d29GjRrF1q1blfLn5OQwd+5c+vTpw5gxYzh37tw/1mVlxHm6tQugR4eaeD319tvbmhG+9bJa+SljmjG4dz0Cqtvj7iLh02GhuDlLOHzinkImoLo9E0c1oV3Laujp67xQhxXrTtKtY216dK6Dl4cNUz9tg72dOeGb1V+Xs6OEaRPa0LldIGamBmplNu+4SFZ2AYvn9qJOLVecHCwIDnSjmq/6F4W4vWe4MH0FD7dGvVBfgGrDO5D3KJkz438h6+YjYpdFErtiLzUmhClk/Md2Jf6v81ydHU7WrcdcnR1O/MEL+I/tprbMVcfj6FrXjh717PGyM2ZKR0/szQ1Yf0q9UfaML7fcoV2gDYFu6o2o0jIZE9ffZnQrV1wsDSsta+X2GLq19KbH+z54uVgwZUhd7K1NCI+8rVZ+ypC6DO5WgwAfa9wdq/Bpv9q4OZhx+Gz5g3T7kXsM6xFAk2BnXOzN+LBtVRoHObJi2w21Za5YfZxuXerSo2t9vDztmDqxI/b2FoRvPKVW3tnJkmlfdKJzhzqYmaq/vvp1vWjVvAZenna4uljRv3djqvrYc/7iA/U6/HmUbl3q06NbA7kOX3SR67BB/WyNs5Ml0yZ1oXPHuhp1mD+7D717NaJ6NSe8POz49sswyspknDyt/iu1K9efoVuHWvToGIiXuzVTxrXC3rYK4VsvqtfBwYKp41vRuU0Aphrui+37rjGsfwhNQrxxcZLwYdfaNK7vwYpw9eGDq1cdp0u3unTtXh9PLzsmTu6IvYMFGyPUt8XGiFM4OEiYOLkjnl52dO1en85dg/lz5VGFTI0AFz79rD2t2waip//iCfOVm6/SrXVVerSphperhCkjGmJvY0r4TvX9Z8qIhgwOq0VAVRvcncz5dFBd3JyqcPhUuTG7Zd8tsnKKWPTV+9T2t8fJzow6Neyp5mWlUQ+ZTMaGtWfoP7gRTVtWw9PHlmnfdqCoUMpfkdc15otYc5a6DTzo93EIbh7W9Ps4hOB67mxYe1YhI7E0wcraVPF34tgdnFwk1KlbPsO0ZtVxOnerS9fu9fD0suPzyR2xdzDX2BabIk7h4GDB54q2qEenrsH8ubLcm71udRT1G3rz8ZBmeHja8vGQZtSr783aP9WPgys3XqBbW396tK+Bl5slUz5pgr2tKeHbr6qVn/JJEwZ/GExANXvcnSV8OqQRbs4WHI6+r5CZN601H3WuRXUfGzzdLPnmsxaUyeDkhcca61QmkxGx5jQDhoTSrGV1vHxsmfFtJwoLpeyPvKYx3/o1p6nbwJP+gxvj7mFN/8GNqVvPg4g1p5XkdHS1ldpD8hIOrLcZLW3Za/t7VxGGv+BvUVhYSPv27Zk1axYzZsxAS0uLefPmUVZWRmRkJOfOnWP8+PEsXLiQTz75BBsb5WnkTZs20bBhQ+bNm0dQUBA//fQTubmVe0fUUSwt5frtJBrVUw41aFTXjYvXXu4z7WVlMvLyizGvUrlBqVmHEq7fjKdxfeVQg0b1vbh4RfPA/yIOHb9FYIAzM7/fTUjrubTvtZjfVhyjtLTsH5f5PDYN/Ij/67xSWty+s1gH+6KlK3/ZsWnoR9xfyi8vcfvPYRvir1JecUkZ1+NyaeRjoZTeyNeCiw/Ve9MAtpxN4nF6IaNaag5P+OXAIyQmunSvV/nUebG0lOt30mgUpOyxbhTkwMWbKZXmfUZZmYy8AinmzxmexdJSDPSUXwAN9HU4H5NcMbu8P8TE0bihcjhWowY+XLz84KV0eBEymdzYvv8ghbpqwofkOjyhcUgFHRpW5eKlV6MDQEFhMSUlpZibG6vRoZTrtxJpVE9Zv0b1PLh49YmK/MtSXFyCQQVj28BAl/NXVMuUFpcQcyOOhhXqoUGID5c11MOVyw9pEOKjlBbSqCo3rj9BKi39+/pKS7kem0qj2sqhJI3qOHHxRpKGXMrIxygp5mblffLQyUcEVrdj5s8naBS2hg5DNvFb+MVKx4f4uEzSUvOo17C8TfT1dQms48rVy3Ea812/EkfdhsohYvVCPLl6WX07SqWl7N99jXada6KlpSVPU7SFct02CPHl8qWHasu5fPkRDSq0XUgjX2Kea4srlx6qtG/DRurLlPfJZBrVVR5rGtV14+L1BLU6VETxvDDT/LwoKCqR3xdm6l9e4Vlb5FL/uXrV19clqI4bVy9pfm5cu/yE+iHKz5r6jbxU2uLxw3Tat/iBLq1/YtrEzcQ9UT+rInh3ETH+gr9FgwbKMZYjRoxg8ODBPHnyhNTUVBwcHKhWrRpaWloqRj9AkyZNaNy4MQAffvghe/fu5c6dOwQGBqrISqVSpFKpUprR038zsgooLZVhJVE2PKwkJqSmP3ipa1mx/hz5hVLaNK/6YmE1ZGTmy3WoMMVubWlCStrff5l5xuO4DE6du0+HD2qydEFvHj5OY+b3kZSUljF6cNN/XO4zjOwtKUhSfhgUJmWgraeLobU5BYnpGNlbUqhGxsheolJeZr6U0jKwNtVXSrcy1Sc1J1OtDg9SC/hh7wNWD6+Jro6WWpkLD7LZfDZJY9z/82RkF1FaJsPKQvmhbGVuRGrmy70Irth2nfyiEto0Ln+ZbBzkyMrtNwiuYYervRknLydw6PRjSstUvUUZGXmUlpZhZWmqlG5tZUZKas5L6aCJnJwC3nv/PxRLS9DW1ubLKV1o1FB1vYdCByvlGZRXocPzzF+4Gztbc0IaqNHh2X1RwdNoZWlCanrePz5n4/qerFx/huBAF1ydJJw894BDx2PVt0WmvB4srZTbwsrKjFQN9ZCamkNIhXqztDKlpKSMzMw8bDSE2mkiI7tQ3idVxigjUjMKXqqMFZuukF9YQpv3yo3ExwnZnLqUS4fmXiz59gMexmUzc9EJSktljOpTW2056anyepdUGKssrUzUxuc/Iy01F0s1eZ6VV5Fjh26Rm1NI2441FWny/qCuLUxJ09AWaak5WFWQr9gWqam5KjKayszIKtDcFi/ZJ1dsuCBvi2Y+GmV+WHoCO2tTQupodmakpeYqrud5LK1MSUzIrDSfZYV7ytLSRFEegH+AEzP+0xlXN0vS0/NYsfQ4Q/ouJ3J3byQS1bH7fwFt4Z5+5QjDX/C3SExMJCIigtjYWHJycigrk3uZUlNTadq0Kd9++y3jxo2jVq1a1KlTh1q1ainld3MrN6oMDQ0xNDQkK0v9g2fr1q1s2rRJKS1iUUul38+8SuXIUElSw64DMSxaEc3iWZ1VHgZ/Fy2UTyiT8VI6aEJWJsNKYsI3Uzqgo6NNjeqOJKfksGxN9Csx/OU6VjCWnin8XLo6mYpJyscrnAP19VBaJuPz8FuMbuWKh42RqgCQV1TCxPW3mNnNG4mJXiUnraiimv7wEvl2Hb3PovArLJ7aFCuLcp2mDqnH9EUnaTtyO1qAi4MZXVt6s+XAnZfWQSaTqdHr72FiYsC2iHHk5xdz8kwss+ftxMXJkvp11S9sfR06POP35YfYvecCfy4fhYGB5rZROZvs5dpCE1PHtWL67EjafrgULS1wcZLQtV1Ntuy+olmHv1kPFQ896+8V7/G/g5ou+XJ98vAdFq2+wOKv38dKUt4ny2TyF9yZ40Ll44OvDclpeSzfdEVh+O/bfY253+xR5Jm7KOypLurGqsq1Ua0TzWPsrq2XadDICxtb1dC9v31ulRM/TX6+9iqWqeY8lekgb4sXt8aug7dYtPIUi7/toPF58Uf4OXYfvMWfC7thYFBuWu3dfZU5M8s3Tpi/+EN1qsvr9QW6qNRhhXJCQpVfSgJqOtOt3c9s27aNgQMHVlq24N1BGP6Cv8WcOXOwtrZm2LBhSCQSZDIZEyZMoKSkBE9PTxYtWsSlS5e4cuUKCxYsICAggAkTJijy6+goh01oaWmpGphP6dKlC+3bt1dOzF0DgMTcCB0dLRVvTVpGPlaSymMaIw/eZNrs/Syc2YGQYM27krwIiYWxXIcK3v20jDysK3h9/w421mbo6mqjo1Pu6vD0sCElLZdiaQn6ev/uti1ITMfY3lIpzdDWgjJpCYVp2QoZIzUyFWcBACyM9dDRhtScYqX09NxirExVDcO8olKuPcklJj6Xb7ffBaBMJjcEakyO4o+Pa2BurEtcRhEjV5XHQj9z7NaYHEXkZ3VwtSo3hiRVDNDR1lLxpKZlFSoZ8uqIPH6faT9Hs/CLJoQEKocKWZobsnhqM4qKS8nMKcLW0oj5qy7gbKfavhKJCTo62qSmKXsc09Jzsbb65/0BQFtbGzdXawCqV3Pk7v1kli4/rGL4K3RIVQ6xehU6ACxbeZglyw6wYukIqvmqXwisuC/U3Zv/It7YUmLM4jndKSoqITO7AFtrU+b/cgRnRws1OsjroaL3Nz1d1Uv8DGtr1dmAjPRcdHW1Mbf4+84BSRVDeZ9Mz1dKT8ssUDLk1RF55C7TfjjGwmktCakQKmRjaYxehfHBy1VCSnoBxdJS9PV0aNzUB/+A8vYpLpaHx6Sn5mJtU379Gel5KrMAz2NlbUpaBe9+Rnq+2jyJ8VmcO/2A735QXgck7w/q26Ki17v8vGZq5Z9vC2trVe9+epr6MiXmRk/bokKfzCzAyrLyto08dJtp3x9g4VdtCQlW78lftv48S9acZfn8rlT1Up7pDm3qi3/AMMVvaXGJ/NypuVjblL8gZaTnqcyuPI+VtSlpFZ418jya72sjY328fGx58OCBRpm3nXc5Fv91ISZRBC9NTk4OcXFxdO3alYCAAJydncnLUx5IjY2NCQkJYfjw4YwbN47Tp0//oxh+AD09PYyNjZX+nqGvp4O/rx3RZ5XjOaPPPiSohnqDBOSe/snf7WPejLY0DVG/veHLoq+ni381R06cuausw5m7BNVUv23hy1C7lguPnqQrZlMAHjxKw8ba9F8b/QApp27g2FJ5K0in94NJPXcbWYncQEg5eQOnijKtgkmOVl0IqK+rjb+TKdGxmUrp0bGZBLmphkeYGuiwfXwQW8aW//Wsb4+HjRFbxgZR09UMTxtjFZnm1S2p72nOlrFB2Jsrx9Dq6+ng721F9CXlsJ7oSwkEVdO8XeGuo/eZ/GM08z4LpWld9dvAgjyu387KmJJSGfujH9G8vmr76uvp4l/diRMnlRe8Rp+OJaiWu8ay/wkymTzmXb0Ozpw4qbygOfrUbYIC/50Of6w4xC9L/+KPX4YS4K+5f+vr6eBf1Z7oM/eV0qPP3icoQHMdvywGBrrY2ZhRUlrG/iM3aR6qGnqhp69LdT8nTkYrt8Xp6FhqaaiHmrXcOF1B/mT0bfz8ndHTe/FC/4ro6+ng72NN9AXlGProC3EE+anfuQjknv7J844yb1JzmtZXNTRr+9vzMD6bsudCnB7EZWFjaYz+Uz1NTAxwdrVU/Hl4WWNlbcLZU+VtIpWWcun8IwJqad6a1r+mk1IegLMn7xGgZsvk3dsvI7E0pmGot1L6s7Y4VaFuT0XHUitQveOlVi1XFfmT0bFUf64taga6ceqkanupK1PeJ22JPqe840/0uUcE+avfTQvknv7Js/czb1prmj63PuJ5lq0/z6+rz/D7950JqKbariYmBri4Wir+PLxssLI25czJ8k0lpNJSLp5/SICG7W4BatRyVsoDcDr6rtq2eEZxcQkP7qWqDbv9X0FL+/X9vasIj7/gpTExMcHMzIwDBw4gkUhITU1l7dq1iuO7du1CIpHg7u6OlpYWp06dwsLCQslgf5UM6FmHL77dQ41qdgT6O7JhxxUSknPo1VkeXjT/t+Py/cGnyffJ33Ughknf7mXK2GbU8nckJU3+0mJooKvYYadYWsrdB/KtGqXSUpJScomJTcbYSA83Z9UYyYEfNWTil1uoUd2RoAAXIraeJyExi15dg+U6LD5AUnI233/dVZEn5rZ8MVlefjHpGfnE3E5AT1cHb0/5Hs4fdqvL6g1n+M/8vfQJq8fDx+ksWXmcvmH11daDrokhVbzLH96mHvZY1vKiKD2HvMfJ1PnuY4wdrTk+YA4AN3/bSbVRnag7fwS3f9+NbUM/fAa14ehH/1GUceOnLbQ5upCAib14tP0Erp0a4diyNrtDx6rVoX+oE5MiblPD2ZRA1ypsOJNIQmYRPRvIF+X+sOcBSdlFzOlZFW1tLXztK8R/m+phoKutlF5RxsxIV236MwZ0qs4XC05Qw9uKwGo2bNgXS0JKHr3ayOPQ56+6QHJ6PnPGy9eY7Dp6n0kLo5gypC61qtqQ8nS2wFBfBzMT+XqFy7dSSErLp7qnJUlp+SwKv0yZTMbgrur3Ch/YN5SJUyOo4e9MUE1XIjafJiEhk17d5Wtj5v+0h6TkLL7/tpciT8xN+ctKXkER6Rm5xNyMR09PB28vuRGxZNkhavg54+piRbG0lGNRN9m+6zxfTemiqgAwsF8TJk5ZRw1/F4JquROx6SQJCRn06hEi1+HHXSQlZfP9dx89p4PcOM3LLyI9I4+Ym3FPdZC33+/LD/Hj4j3Mn90HJydLUp7OKBgbG2BirLqQcUCvenwxcyc1qjsQWMOJDdsvkZCUTa/O8vUa8389QnJKDnNmdCjX4em2uvkFxaRn5hNzO0mug4d8puPy9TiSUnKp7mNLUkoui5Ydp0wGg3s3UDk/QN/+oUydFIF/DWdq1nJl80Z5W3R/uhf8Twv2kJycxbez5G3Ro2cD1oefYN6cnXTtXo8rlx+xdfNZZs8trydpcQl378oXdpdIS0hOzuJmTDzGxvq4ulmr1kO3AL74/gg1fG0I9LNlw+6bJCTn0qt9dXk9LDtDcloecyY2A+RG/6TvjzBlRAi1qtuS8nS2wNBAV9EnP2xfnTXbr/OfX6Pp08mfh3HZLAm/RN/Oqgvvn6GlpUVY73r8uSwaZ1dLXFwl/LksGgNDPVq1Lc/3zdQdWNuaMWKsXJ+w3nUZNWg1a5afJLSZD8cPx3L29AN+XdFXqfyyMhm7t1+hTYea6OqqWlR9+ocybVIEfk/bYsvGMySqtEU2387qCUD3ng1YHx6t1BbbNp9l1twPFWV+2KcRg/svYcUfR2ja3I8jh25w5tQdlq8eobYOBvSozRff7aNGVTsC/R3YsPMqCUk59Ooo33Z0/tIT8ufFlA/kbXHwFpO+28+UT96jlp+92ufFH+Hn+HH5KeZN+wAn+yoKGWMjPUyM9dVoIW+Lnn3qs2pZFC5uVri4WrLqjygMDfV4v235uPL1lG3Y2JkxcmwLAHr2rs+IgSv5c/kJ3mtWlWOHb3H29H2WrBygyPPTvP00buqLvb25IsY/L6+ILl3UjxWCdxNh+AteGm1tbcaOHcuKFSuYMGECjo6ODBw4kK+++gqQx+xv376dhIQEtLW18fb2ZvLkyWi/ptU5bVtUIzO7kMUrT5GSloePhxVLvu+Kk73cy5ySlqe0R3PE9iuUlJYx84eDzPzhoCK9c2t/Zk9tDcg/JNRl0GrFseXrz7F8/TnqBjqz+ueeqjq0qkFGVj6/LDtKcmouvl62LF3QGycHC7kOqTkkJCmvYejcZ4ni/9dvJrBr31WcHMw5tH08AA525iz/qS+zFu6lY+9fsbOpQr+e9RnSr7HaerAOrkqbwz8oftf/YSQAsSv3ETXoe4zsrTBxLf8wTO6DRP5qN4X6P4yk+siO5MencXrsIh5uOa6QST55gyMffkvtbwYSNHMAOXfjOdLrG1LP3FSrQ9taNmTml/DLwcekZBfjY2/MbwP9cZLIF9um5BSTkKl5j+pXQdtQDzJzilgccYWU9AJ83CxYMqMFTrbyqfCUjALiU8pnqCL23aakVMbM384w87fyLSE7N/di9rhGABRJS/lx7SUeJ+ZgbKhHk2An5oxvTBVT9Q/1th8EkpGZzy9LDpCcmo2vtz1LFw3CyVH+0piSkk1ChQV8nXstVPz/+o04du25hJODhEN7JgNyQ/jr77aSmJyFoYEenu62zP1PL9p+EKheh9ZBT3XYT3JKNr7eDixdPAQnR8unOuSQkKgcstU5bP5zOjxhV+QFnBwlHNo7HYDwDSeQSksZM2GVUr7Rw9/nk5GtVXVo6UdmVgGLl58gJS0XH08blswLw8lB/kG3lLRclf3TuwxYXq7DzUR27b+Bo705h7bI+3NRcSk/Lj3K4/hMjI30adLQizkzOlBFwy4rH7QJJDMznyW/HiA1JRtvH3sW/TYIRw1t4eRsyaJfBzFvzk4iwqOxsa3CF1M60vL98v3ok1Oy6dV9oeL3nyuO8eeKY9Sp68mylar7pbdt6kVmdhGL114gJT0fHzdLlnzbGic7eYhHSno+8cnP9cndN+V9ctEJZi4q3361cysfZn/eFAAHW1OWzWrD7N9O0WnYFuysjenbxZ8hYcrrqSrSe2ADioqkzP9u79OPRjmy8NdemJiUv7glJWajpV0eNB4Q6MzXczqzdNFRfl98FCcXCTPndMa/wkevzp66T1JCNu0610QdH7SpRVZmPkt/Pahoi59/G6hoi9SUHKWFrU7Olvz86yDmz9nJhvCT2NhWYWKFtggMcmfW3A/55ef9/PLzflxcLZk9rzcBNdWH47Rt7ktmdgGLV52Wt4WHFUvmdKrwvCgPHYrYcVX+vFh4hJkLjyjSO39QndmT3wdg3bYrSKWljP0yUulco/rX55OB6l9IAfoODKGoUMrc/0SSk12Af4ATP/7WR6ktEhOzlNqiZqAL38zpxpJFh1m66DBOLpZ8+303atQs9/gnJ+cw44stZGbkI7E0wT/AiWVrPsbJSfOsztuOlpYI9XnVaMk0BVgLBG8hsuSlb1oFtAxe/OGe180KyR9vWgX6b3F/0yqgVf3fhWu9Eh1cNX8p9L+G9pv34chyX27b1NdJofmb37nEME79tw3+m6TZvfnQDmPdF3+1+3VjlPJyO3q9TjIt33w9SAz+d7/cmzW81YuF/iHmv/312sp+m3nzTwuBQCAQCAQCgaACYjvPV4+oUoFAIBAIBAKB4B1AePwFAoFAIBAIBG8dYjvPV4/w+AsEAoFAIBAIBO8AwuMvEAgEAoFAIHjreJf3239dCMNfIBAIBAKBQPD2oaP1YhnB30K8SwkEAoFAIBAIBO8AwuMvEAgEAoFAIHjreP4jZoJXg/D4CwQCgUAgEAgE7wDC4y8QCAQCgUAgePvQEf7pV42oUYFAIBAIBAKB4B1AePwF/1OsyzJ50yrwUdm9N60C/be4v2kVWNX1wZtWgXZ5jd60CkQ+yn3TKpBX8qY1gBFZ19+0Clzz8XvTKlDTufqbVoHoxxlvWgXgzd8XxxMt3rQK/GfztjetAozu/aY1+OeIGP9XjvD4CwQCgUAgEAgE7wDC4y8QCAQCgUAgeOvQEvv4v3KE4S8QCAQCgUAgePsQoT6vHBHqIxAIBAKBQCAQvAMIj79AIBAIBAKB4O1DhPq8coTHXyAQCAQCgUAgeAcQHn+BQCAQCAQCwVuHlojxf+UIj79AIBAIBAKBQPAOIDz+AoFAIBAIBIK3Dx3hn37VvBM1mpycTFhYGA8ePHhlZYaFhXHmzJl/XP6GDRv4/PPPX5k+/5QzZ87wySef0LNnT1auXPlaz7V48WK+//7713oOgUAgEAgEAoF6hMf/FWBtbc3SpUsxMzN76TwdO3akTZs2it+LFy8mLy+PiRMnvg4VNfL777/TtGlT2rRpg5GR0X/13K8KmUzG0XVHubDvAoW5hTj5OtFmRBts3Ww15omJjiFqQxTpCemUlZRh6WhJwy4Nqdm8pkLm4bWHRG+OJuFuArnpuYRNDaNaw2oqZa2LvMmyLTdIycjH29WCKYPrEuxvp/a8+6Mfsn7PbWLup1MsLcPb1ZzRH9YitLaTQkZaUsbSTVfZduguSWn5eDiZ81n/2oTWcVJbJsC6kwksP/qElJxivO2MmdzBk2AP8xfW3YUH2fRbcgUfOxO2jgtSK7P7Ugqfhd+ihZ8li/r7qZWxCw2gxmc9sa7jg7GjNQe7zODR9hOVntvuvZrUmz8CC393CuJTuTo3gltLdinJuHUNpfbMgZh5OZBzN4Hz05bxaFvl5cpkMlb8doIdWy6Tk12IXw0HPp3cCg9vm0rzHTlwiz9+OU7840wcXSwYOvo93mvuqzheUlLGit+i+CvyBmlpeVhZm9CmYwC2HzRTiUOVyWREhR/l0n55n3T0deL94W2wcdXcJ29FxxC9KYqMp31S4mhJvc4NCWhW3iejN0Zx6+RN0uNS0dXXxamaC836t8DQ3lptPZyOOMr1vy5QmFeIvY8TTYe0waoSHe6ciuHc5igyE9IpKy3DwsGSoI4Nqd60XIdT649wZsMxpXzGFiaMWNBCKW3dofss33OXlMxCvJ3MmPxRDYJ9rdSe9/ztNOZvvMG9hFwKi0txtDImrKkbAz7wUpLLzpeycHMMf51PIDtPirONMRN7+tOklvr77Vk9bFkexeEdl8nLKcTLz4EBn76Ps6fm/nB4xyWO773Gk3spAHhUtSdsWBO8/ByV5P7acoHI8NNkpuXi5G5Nn7EtqdlMuX7Xh59g5fLDpKZk4+Vtz8RJnakT7Knx3OfO3mHunB3cvZOIjW0VBg5qTlivEMXxTRtPsnP7Oe7cSQTAz8+ZMePaElDTTWOZz+rhrzXHOB15gfzcQlyrOdFlVGvs3TX3h9ORFzh/4AqJD+X14OTtQJuBzXCtVj4WfdfvJzKSslTyNuwQTNfRbZTSXpcOpaVl/LX6KBcOXSMnI5cqlqYEt6qFQfMmau/NW9uO8vDIeaR5hUi8nAjo25Yqzpp1eJ64U9c4/+tm7GtXpd7YXmplYnceJ2bTITzfrw9VlY+tv5LKyosppORJ8bI05ItQR+o4maot5+yTXAZtvauSvr13VTwtDQHYdC2NnTcziE0vBMDPxoixDR0IsDd+qet52xEx/q8eYfi/ArS1tbGwsPhbeQwNDTE0NHw9Cr0khYWFZGVlUatWLSwtLd+oLv+G6M3RnNp2ik7jO2HlaMXxiOOsmb6GUb+NwsDYQG0eI1MjQsNCsXKxQkdXh9gzsWxfuB1jc2O863gDUFxYjJ2nHYGtAtn43Ua15UQev8+sP84xY3h9ale3IWJvLEO/PsiuxR1xtFEdzM9dTyYk0IHx/YIwM9Fny4E7jPz2MBFz2+DnJTeKflxzkR1H7vHN6IZ4OpsTdSGe0bOOED6ntUJGSYfLKczeeY/pnb2o7VaFiNOJDFt+nZ2f1sZRormP5RSUMCniNg28LEjLlaqVicsoZO7u+9TxqKKxHABdEyMyrtzlzsq9NN/8daWyAKbu9rTa/R23/4jkWN9Z2DaqQcPFYyhMyeLhluMA2DTwo+n66VyYsYJHW6Nw7dKYZhEz2B06ltQzNzWWvW7laSLWnGXKzLa4uFmy6vdoxo/YwLptgzE2Ud8frl2O46svtvPxyFDea+7LsUO3mTFxO4tX9MY/QG7srVtxiu2bLjFlZjs8vKy5eSOBWV/uoZHUhLod6yuVd2pLNGe2n6L92E5YOllxYsNx1s9Yw9BfNPdJQzMjQnqEYuUs75N3zsay+8ftmJgb41lb3icfXXtInXbBOPg4UlZaxtHVh1n/5Vp6/zgCPUN9pfLOb43m4s5TtPqkExIHK85sOs62r9fQd9Eo9I006GBqRN1uoUicrdDW1eHBuVgOLJLfF25B3go5SxcbunzVV/Fb/nCOVfyOPB3H7HXXmN63JrV9LIk48pBhP5xi53+a4WilapAYGejSu4UHvi5VMDbQ5fztNL5adQVjAx3CmroDUFxSxsdzT2JZRZ8fRwVjJzEiMb0AE8PKH2O71p5mT8RZhk1th72LJdtXRTN7fARzw4dgpKEtYi4+omFLP3wDnNDT12XX2lPM+TSC2asHY2kjd/CcOhjDmp8OMGDCB/gGOHFo+yXmfraB0J2eODhKANi75yLfz9rG1BndCAryYOOGaEYOW8q2nV8oZJ7nyZM0Rg7/g27d6zNrTm8uXrzPf2ZuRmJpQqv3awFw7sxd2rSrTWCgOwYGuqxYdpjhQ5awZcdE7OwsNNbDkQ3RHNtyip4TOmLjbMWBdcf5ffJaPl82EkMN9XD3ykMCm9XAzc8ZPT1djmyM5vcpa/ls6XDMreVjwpifPqasTKbIk/ggmd8nr6VWaPX/mg5HIk5wcvd5en3WCTs3G57ExrNh/k58ygzxfL+BUnl3Ik9wb+9JAod0xtTeits7jnFy7mpazB6Nrob74hn5qZlcX78fS19XjTIZ9+J4eOQCVVxUX0b33s5gzvF4pjV1IsjBhI3X0hix8z7be1fFwUxfTWlydvaphql+eYCGxKi8z5+Ny6WNrwWTHUzQ19FixYVkhm2/y9be1bAz1av0ev4nENt5vnL+34T6XLp0ienTpzNgwAAGDRrE7NmzSUxM1Cj/+PFjZs2aRf/+/enXrx8zZsxQyN+5c4dvvvmGjz/+mP79+/Pll19y7949jWVVDPW5fv06YWFhXL16lUmTJtGnTx+mTZtGfHy8Is/zoT4bNmzg6NGjnDt3jrCwMMLCwrh+/Tpff/01y5YtUzpXTk4OH330EdeuXXthneTm5rJo0SIGDhxInz59+O6770hISFDo2K9fPwBmzpypOGdl5OTksHDhQoYPH06fPn2YMGECUVFRSjKnTp1iwoQJ9O7dm0GDBvHNN99QWFioJLNjxw6GDh3KoEGD+OOPPygpKXnhtWhCJpNxevtpQnuGUj2kOrbutnT6tBPSIinXjmquI/ea7lQLqYaNiw2WDpbU71QfOw87Ht94rJDxCfahed/mVA9RfYA9Y+X2GLq19KbH+z54uVgwZUhd7K1NCI+8rVZ+ypC6DO5WgwAfa9wdq/Bpv9q4OZhx+OwThcz2I/cY1iOAJsHOuNib8WHbqjQOcmTFthtqy1x1PI6ude3oUc8eLztjpnT0xN7cgPWnNPd/gC+33KFdoA2BbupnqkrLZExcf5vRrVxxsaz8JTVu7xkuTF/Bw61Rlco9o9rwDuQ9SubM+F/IuvmI2GWRxK7YS40JYQoZ/7Fdif/rPFdnh5N16zFXZ4cTf/AC/mO7aSxXJpOxYe05+g1uSJMWVfH0tmHqN+0oKpDy154Yjfk2rj1HcAN3+n7cEDcPK/p+3JA69dzYuPacQubalXgaN/Um5D0vHJzMadaqGvUaupNwJ16pLJlMxtkdpwkJC6VqSHVs3GxpP07eJ28c09wn3QLcqdqwGtYuNkgcLKnbsT627sp9stfXvanZIhAbV1vsPOxpP7Yj2SlZJN9NUNHh0q7T1O0WineD6li52dJqjFyHW5Xo4FzDHa8G1bB0tsHC3pLA9vWxdrMjPuaxkpy2jjYmElPFn7G5idLxVfvv0vU9V3o0ccPL0YwpH9XA3tKI9YceqD2vn5s57Ro44+NUBSdrYzqGuNCohg3nbqcrZLYcf0RWXjGLPqlHbR8rnKyNqeNrRTVXzTNbMpmMvRvP0qlfCHWbVMXF04ZhU9tRXCQler/6+wlg5JcdadW1Nm4+dji6WTH4izaUlcm4fq5c/z3rz9C0fS2adaiFk7s1fce2xMq2ChvWl89I/bnyKF261adb9wZ4etnxxeQu2DtYKMk8z8aIaBwcLPhichc8vezo1r0BXbrWY9WKIwqZ2XP70OvDRlSr7oSHpx1fzgyjrEzG6f9j77zDo6i6Bv7b9N42IT2kAwmd0AJIly69KFKlCaggKsVCU4qAoILSiyC9Su8thA6hhAChJEAS0jc92fr9sbCbze4G9IMX3tf5PU8emDvn3jlz587smXPPPXMu3mCbz/vh9M4LtOzTmGqNq+DhX4E+X3RGWiLj6nHj4+GDCV2J7BSBd5AHFfxc6TGmIyqVivirDzUydk62OLjYaf7izscj9nQmsMwMxOvUITEuifCGlahSPwQXDyeqNwkjpHYgkof698WDg+cJea8JXhFVcPCpQK2hXVBIZTw5d8OoDgAqpZIri7dTqWszbCvov7QByIulXFm8nRqDO2Fuq//M/CMmg25hLnQPFxPoYsX4d7zxsDNn043Mco/tYmOGq6255s+0lBd8dpuK9KnuSmU3awJdrJjSwhelCs4/ziu3TYF/L/8zhn9xcTEdO3Zk5syZfPfdd4hEIubOnYtSqdSTzcrKYvLkyZibm/Pdd98xa9YsmjdvrpEtLi6madOmTJ06lR9++AFPT09mzpxJUVHR39Jp48aN9O/fn1mzZmFqasrvv/9uUO69996jYcOG1KxZk6VLl7J06VIqVapEy5YtiYqKQibTemNPnz6Ns7Mz4eHhLzz+b7/9xv379/nqq6/4/vvvUalUzJw5E7lcTqVKlViwYAEA48aN0xyzPGQyGYGBgUyYMIF58+bRqlUrFi5cSHy8+gcnOzubn3/+mebNmzN//nymTJlCvXr1dNqIjY0lNTWVyZMnM2rUKE6ePMmJEydeeC7GkKRKyM/OJ7CWdurczNyMilUr8riMsWIMlUrFg5gHZD7JxK+qcU9OWaQyBbH3MmlUS3f6v1EtT67eTn+pNpRKFQVFMhzttJ4mqUyBpbmpjpylhSmX49L0dZAriU3Kp1GIk64OoU5cTcw1etztF1N5nFXMqFbGz/e3I49wtjWjRz2PlzqXv4NbgzCSD1/WKUs6eBHXiFBEZupzd2sYRtLhS7oyhy5RIdL42E9JyiEro4C6DQM0ZRYWZtSM8OVmTJLRejevJ1G3QYBOWb2GAdy8pq1TvZYPl88n8ihRbYzeu5PG9atPCKoTolNPkiqhIDufgJq6Y9IvvCJP/saYTLj2gKykTPzCjV+j4oISQO2pL01uqoRCST5+ZXTwDq9Iyp2X1+Hx9QdkJ2fiHaargyQlixUf/cTqEb+wf942cp5ma/ZJ5UpiE3JoFK4bOtEo3I2r97N5GW4l5hBzL5u6lbQzXMeuPqVmkDPT192g8WcH6PTNcZbsuYuilLe5LOnJOeRkFlCtnr+mzNzCjMo1fYm/aXw8lKWkRIZCrsTOQd3PcpmCh3efUrWuv45c1br+xMQkACCTyom79YTIRqE6Mg0jK2lkynItJpGGkbrP4cjGlbgV+xiZTGGwTnGxFLlcgaOj8dCOrKcS8rLyCa1TajxYmBFYrSKJt54YrVcW6bN+sLE3HBYqlym4cuwGddvURCTS9dS+Th38q/pyL+Yh6U/UBnTy/ackxD6mQvVgnbqF6RJKcvKpUFUbQmZqboZrJX+y4svX4c7Ok1jY21KxaW2jMtf/2Id7jRDcwvVDuWQKJbfSCon003W0RPrZE5NSUO6xe228S/MVsQzZcZ8LT/LLlS2WK5ErVTi+YCbsvwZT0ev7+5fyPzIyoEED3em8jz/+mCFDhvDkyRO9kJoDBw5gY2PDmDFjMDNTd4GXl9Z4q1q1qo78sGHDGDRoELdu3aJOnTovrVOfPn0IC1PHRHfu3JlZs2YhlUqxsNCd0rOyssLCwgKZTKYTMlS/fn1WrlzJxYsXiYxUx3ieOHGCZs2a6T1Uy5KSksKlS5eYPn26xqD/9NNP+fjjj7l48SINGzbE0VHtKbOzs3upUCUXFxfee+89zXa7du2IiYnh7NmzhISEkJ2djUKhoH79+ri5qeNn/fx0DQY7Ozs++ugjTExM8Pb2platWty8eZNWrVrpHU8mk+m89BgiP1v9ELRz0g2rsXOyQ5ImKbducUEx8wfMRyFTIDIR0f7j9gTVCiq3Tmmyc0tQKFWInXTHl9jRmgxJspFauqzaGUthiZx2jbXesca1vFi96xYRVd3x87Dn7LUUjp1/bNDAkRTKUCjB1U53TIntLMjIkxg8ZkJGET8dSGDtiOqYGXn4XUnIZdvFVKNx//9frD1cKErVNQKLU7MxMTfDytWRoqdZWHu4UGxAxtrDsLcNIDNDPR5cXHSNIGcXW56m6MchPycrowAXsa7X2kVsS1aG9ge576D65OeX8GGXZZiYmqBUKBk6+h3ETXWfFwXPxqRtmTFp62RHTrrEqA6gHpMLB2nHZJsR7QkwMiZVKhVHVx7CJ8wXcZn1LIUStQ42ZXSwcbIj7wU6lBQUs3KoVodmw9rjV1Org0eoN+9+2gUnLxcKJQVc3HqaLZNWMnx6E5ztLJDkSVEoVbg66IZNiB0tybhZXPZwOjT7/BBZeVIUCiWjulSiZ1PtffEkvZDzcYV0bOjDkrENSEgtYPra68gVKkZ1Nuy0kGSp+8HRRffaOjrbkpFq/MW4LJt+P4mzmx3hEf4A5OUUolSo9Nt1seXOpUcAZEsKUCiUiMW6hp5YbE9GhmFvbGZGnkF5uVyJRFKAm5t+yN2Cn/ZSoYIjDRqG6u17Tt6zfrBz1h0P9s62ZKcZvy/Ksm/lMRzF9oTUNrxGITb6NsX5xUQ8C0v6T+nQvFckxQXFzBnyGyITE1RKJW0HNse8YTWduiU5ah0sHXR1sHSwpTDTuA6Zdx/x6NRVmk4fYVQm6dxNchJTeGfyUIP7s4sUKFQgttE1u8TWZmQWGp71drU1Y3JzH8IqWCNVqNhzJ5shO+6zslsQEUbWBcyPTqGCnTkNfA3vFxD4nzH8nz59yqZNm4iPjycvL0/jvc/IyMDHx0dHNjExkcqVK2uM/rLk5OSwadMmYmNjkUgkKJVKpFIpGRkZf0unihW1P1rOzmpjJTc3F1dX/YV4hjA3N6dJkyYcP36cyMhIEhISSExMfKlsQElJSZiamhISovVG2tvb4+XlRVLSy3u6SqNUKtm5cyfR0dFkZWUhk8mQy+VYWqp/4P39/alWrRpffPEFNWrUoHr16jRo0AA7O+0DyMfHBxOTUrGKzs48evTI4PF27NjB1q1bdcoCWwWyZ5F2Aej7k99X/6eM/apSqV74cmRpbcnwX4YjLZbyMOYhh1YcwtnDGf/q/i/qCh30j6Mqq45B9px8yMIN11n0dTPETlrv1ddD6/HtwrO0H7kLEeDraU+3VsFsP3KvHCXKagCGTl+hVPHlhjuMbu1HgJthr11BiZyvNt5hWvdgnG1fX4yoSlXmRea5wqXKDcmULjq0N5a53x/UbM/+tYduW6XaedF4KLtbXUe7ffRgHIf3xvLdzE4EBLkRfyeVX+ccJfBuPrEntWECvb5733B76qtSrg6W1pYMXjAcWbGUhGsPObryEE4ezlSs5q8ne2jJftITUvlw1iBun7zB8VILozt9/UyHspVUL9bBwtqS9+epdXh8/SGnVx3C0d0Zn6pqHfxrl5rhqAielXxYM/JXdp15rLsYV68/QfSCY6+b2IjCYgUxD7L5acstKlawpUMD9fNbqVIhdrBk2sAamJqICPd3Il1SzIr99zSG/5lDsaycc0DT3hc/9jSojPE5An32/HmOs0du8fWvH2BhqfuboTemVPplZbdfNBb1x+GzcgOyK1ccY//eK6xcMwpLS+29euXYDbb9vFezPXi64fGgbvvlPJ/HN0cTc/wmI+b0x9zC8G/nhYMxVKobjKPY/j+qw7WTsVw5epMPJnTFvaIbyfdT+WvxIVwTckiK1t6b9T//AENKqFAZVUFeVMLVJTuoMagTlvaGZ1WKMnO48ecBGn75IaZG+sYY5Y3FAGcrAkqt06rpacvTPBlrrqYbNPxXXk5j/10JK7sFYWn2vxHQISzuffX8zxj+s2fPxtXVleHDh+Ps7IxKpWLcuHEG48fNzcs3Zn777Tdyc3MZMGAAbm5umJub8/XXX//tWHRTU224xvMHvaHQo/Jo2bIlX375JZmZmRw7doyqVatqvOnloWcwvaD8Zdi9ezd79+5lwIAB+Pn5YWVlxerVqzX9YmJiwjfffMOdO3e4fv06Bw4cYOPGjcyYMYMKFdQeydJ9Aup+MaZT165d6dixo07ZxviNDK80XLMtl6mPnZ+dj72L1lNWkFOArZOuN64sIhMRLl7qRc0egR5kPMkgakvUSxv+zg6WmJqIyMjWDQHLzCnWMeQNse/0Q775NZoF45sSWVM3VMjF0YpFXzenRKpAkldCBRdr5q25go+7/oPeycYcUxPIyJPqlGflSxEbWNhVUKLg5pN84pLz+X6XOluEUqX+8a06MYrlH1XF0caMpOwSRq7RxkA/n2yoOjGKfV/UwU/8/8sAVfQ0CxsP3QXlVhWcUMrkFGfmamSsDciUngVo3CyYsGra/pNJ1eMhK7MA11KLqyXZhbi4GB8PLq62ZGboTrdnZxXiXGoW4Pf5J+g7qAGt2qpn8YJC3EhNyWXb9lgGL9COSYVcOybtSo3JQsnfG5PugR5kPsng7NYoPcP/0JL9xF+4y4czBuDg6kBgvVA8Qkvp8Oy+KJDkY1tah5wCbF5CBydPtQ5uAR5kPcng0vYojeFfFnMrC8R+FUhIVXtTnewt1PdFTomOXFZuCWLH8hdP+ripdQv1dSAzp4SFu+5oDH83JyvMTEU68c2BnnZk5JQglSuxMDOhduNggsIGa/bLn42HnKx8nF214yE3u0DPW2+IvevP89fas0xY0Ae/YO2sir2jDSamIiSZumEXOdkFiMXq4zg72WJqakJGhu7MQlZWvkamLGJX/dmArKw8zMxMcCxz3VavPM6KpUdYuuJjQivpPkPCGoTiV0mb9eb5czIvOx+HUjMK+ZIC7J1f3A8ntpzl2MYohs36EK9AwxmUslMlxF99SP9ve/7Hddiz7CjNe0dSs5l69s0zwJ3stByiDlzX8dIrn+lQkpOPlZNWB2luod4swHMK0rIpzJBwYcEGTdnz36zdg6bRYtZocp+kIc0t4NTkpVoZpYrMO4nUPAyXR1bH2doUUxF63v2sIrneLEB5VPewYc8d/ZC51VfSWH4plWVdgqjk+t+ZoU/gP8P/hOGfl5dHUlISw4YNo0oV9ULM27eNZ/2oWLEiJ0+eRC6XG/T6x8XFMWTIEGrXVsfyZWRkkJf3ehfKmJmZGXwp8PPzIygoiKNHj3LmzBkGDRr0Uu35+PigUCiIj4/XhPrk5eWRkpKiNwPyssTFxREREcE777wDqF9iUlJS8PbWPtxFIhGVK1emcuXK9OjRg5EjR3LhwgU9A/5lMDc313tJs7Sx1MmKolKpsHO248HVB3gGeQKgkClIvJlIq4H64UPloVKpUBiJozWEhbkp4cFiomOSad1QG9IUHZNCi3q+RuvtOfmQr3+NZt4XTWhW1/i1sLQwxV1sg0yu5FD0I9qWCgfS6GBmQri3HdHxElpX1c4kRcdLaBGmnwHIztKUXWN1w3c2nE3h/P0cFnxYGR8XK0xFIj2ZXw4mUlCiYOKzhcP/X9LP3cK3Y0OdMu93I8i4dBeVXH0N0s/ewrtVHW4t2KaVaR1BWrR2EbqNraVOph6VSoWLqy0XzyYQWlltHMhkCmIuPWbEmGZG9ala3ZtL5xLo3a+upuziuYdUraEd28XFMj3vk4mJCERojPXnOtg625EQ8wCPUmPyUWwizQf8/8akSqXi0JID3D13m74z+uP0LOzJwtpSJ1OPSqXCxsmOx9ceUCFQq0NSbCKN+v09HaD8+0Iuk5P1JAO3QLXxaWFmQri/I9Gx6bSu46mRi76VTouaL79eRIUKqUz7TKwd7MKec09QKlXqfgcSnhbg5mSJxTPvprWNpU6mHpVKhaPYlpsXE/AP9Ximr4LbMY/pPaJZucffs/48u9ZEM35eLwIre+rsMzM3JSDUg5sXE6jbVBtmdPNSAu1aqcNczC3MqBLmw9nou7RsVSodavRdmrcwvE6lRs2KnDyuu+g4+sxdwsJ9MS+17mfVimMsW3KE35cNI7yq/rPGysZSJ0uOSqXC3sWOu1ce4h3sqemHBzcSaf9RS736pTmxJZqj66MYMuMDfEO9jMpdPHQNOydbqtQP+Y/rICuR6c2iPB8jdu6696alox1pNx/gWFGtg1KuIONOAmG9DN8Xdp6uNPvhY52y29uOIS+WUrVvW6zFjlg62OrJxCzfhZ2nK7/4F2NqIsIUEWEVbDj7OI+WQdoF6Wcf5dE88MWplzXHTi/CrcxM7KoraSy9mMrizoGEu/9vpPHU8C+OxX9d/E8Y/ra2ttjb23PkyBGcnZ3JyMjgzz//NCrftm1bDhw4wIIFC+jatSs2NjbEx8cTHByMl5cXHh4enDp1isDAQIqKili3bp1eXP6rxs3NjWvXrpGcnIydnR02Njaal5IWLVqwcuVKLC0t9RbLGsPT05OIiAiWLFnCsGHDsLKyYv369bi4uBAREfGPdPTw8OD8+fPcuXMHW1tb9uzZg0Qi0Rj+8fHx3Lhxgxo1auDo6Eh8fDy5ubk6LwavGpFIRP3O9YnaEoXYS4yLlwtRW6IwtzSnaqnY653zdmIvtqflQPUPTNTmKDxDPHHxdEEhUxB/KZ7rx67TfmR7TR1pkZSsFG1WEUmqhKcPnpJsm69J1TmwcxXGzz9D1WAxNSu7sflgPCnpBfRpp463nbfmCmlZhcwe2xhQG/0TFkQxaWhdalRyI/3ZbIGVhSn2tuoxdu1OOqmZhVQJdCE1s5CFG66hVKkY0k03lvw5A5p4M2HTXar62FHTz4HNF56SIimhdwO1ofPT/gRSc0uY3bsSJiYiQj10vWtiO3MszUx0ysvK2D9LH1e2/DlmtlY4BGuvs12ABy41gijJyqPgcRp1ZnyEjZcrpwfOBuD24t1UHtWZuvM+5u6yvVRoGEbI4Hac/OAHTRu3ftlOu5MLqPZVHx7tOoNf50Z4tarN3iafGdQB1OOhV98I1q04i29FZ3z8nFm7/CyW1ua0bqfNzvT9N3twrWDPiE+bAtDjgzp88tF6/lx1jsbNQog6Ec+l84ksWtVXUyfynWDWLo/G3cOBgCBX4u+ksmndRao0r6WnQ9336hO9NQrnZ2My+tmYDHtHew13z9+JvYs9zQaox2T0lig8gz1x8nRBKVdw/1I8N49fp83H2jF5cPF+bp26QY+ve2NhbalZ46KwsMSsVKiHSCSiZsf6XNwWhZOnGCdPFy5uV+tQqZQOh37eia3YnkYfqnW4uC0K9yBPHD1cUMgVJFyJ5/aJ6zQbptXh9OpDBNQNxd7VkaKcAi5sPY20qIQujbQG6IB3g5iw7ApV/Z2oGezM5pOJpGQW0bu5PwA/bblFqqSY2UPVzpU/jz7ES2xNgIf6vroSn8WqA/fp21K74LpPc3/WHX3AjPU36dsqgMTUApbuvcuHrYznxBeJRLTtWZe/1p7F3ccZD18X/vrjLBaW5kS+q/0mxeLpu3F2s9e8DOz58xxbl59m5OROuHo6ajz7VtYWWNmo79N2ferx+/TdBFb2ILiqN8f/iiEzNZeevbU59/sPbMqk8esJD/elRk1/tm45S0pKtkbm55/2kJqWy4xZ6hCUnr0j2bD+DHNm76J7jwZci0lgx7bzzJ77oabNlSuOseiX/cya8yHeXi5kpKtnFGxsLI2mqxWJRDTpUo9jG6Nw9XbBzduFoxuisLA0p1Zz7XjY8ONOHF3taT9YPR6Ob47m4B8n+GB8V5zdnch9FqdvaW2BpbX2N1GpVHHx0DUiWlXH1MiXVl+nDlUahHBsYxTOFRxxr+hG0v2nnNp+Hs9GNfV0CGxTn/g9p7Fzd8HWQ0z87tOYWpjj00C7HuDKkh1YOdsT1qsVphZmejn+zW3U4TfPy03MTPVkTC3NsbCzJkSsNVz713Rl4uHHhFewpoaHLVtiM0nJl9GrqtpJsyA6hbR8GTPeVTuS1sak42VvQbDYCtmzGP/D93OY307rBFp5OY2F554yu40f3vYWZBSo18XZmJtgY6E7wy4gAP8jhr+JiQmfffYZq1atYty4cXh5eTFo0CCmTJliUN7e3p7vvvuOdevWMWXKFExMTPD399d4xj/++GOWLl3K+PHjcXV15f3332ft2rWv9RxatWrFrVu3mDBhAsXFxUyePFmTuadx48asWbOGRo0a/a0XkJEjR7J69WpmzZqFXC6nSpUqTJw40ejahhfRo0cP0tLS+OGHH7C0tKRly5bUrVuXwsJCAKytrYmLi2Pfvn0UFRXh6upK//79qVXr9SwQfU5k90hkJTL2/b6PovwivCt58+G0D3VmBnLSc3S8tdISKft/209uZi5mFma4+rjSdVxXwt/ReuKS45P5Y9Ifmu1Dyw8BkNYiiFljGgHQvkkAkrwSFm26TnpWESEVnVjyXUu8K6gNmPTsIpLTtSEkmw7eRa5QMW3xBaYtvqAp71KqzRKZgp//jOHx0zxsrMxpGuHN7LGNcbAzfO3b13BDUijnt6OPSc+VEuJhw+JB4Xg/iw1Nz5OSIikxWPdV4RpRiXbHf9Js1/9pJADxqw8SNfhHrD3E2Jb6cFR+wlMOd5hE/Z9GUmXkexQmZ3L+s4WaHP4AaWdvceL976k9fRC1pg0k734yJ/pMLzeHP8AHA+tTUixn3oxD5OcWU6WaFz/93kvHKEpNydXxEFar6cPkWe+xfNFpli86jbevE1Nnv6fJ4Q8wdkIrli86zU8zD5GdVYirmx2du9fEo11zPR0adItEXiLj4OJ9FOcX4RXqTZ+pumMyNz1HRwdZiZSDi/eT92xMin1c6fR5V8KaaMfk1f3qLEd/lhqXAK1Gv0dYi5o6ZXW6RiKXyji+dB8lBUW4h3jT5bsPdWYG8jJ07wt5iZTjy/aT/0wHZ29X3v2sK6GNtTrkZ+Zx8KftFOUVYu1gi0eoN71mfYS3g3btUPv63kgKpPz21x3Sc0oI8bZn8dgGeLuqvZHpOSWkZGpD5FQqFT9tjSMpvRBTUxG+brZ83qMKvZ/l8AfwFFuzfFxDZm2Ipcu3J3B3tqJf60CGtNfNqlSWjn3rIy2RsfqnQxTmFRMU5sX4+b11ZgYyUnN1+uHIjivIZQp++WanTltdBzWi+0dNAGjQsgp5OUXsWH0GSWYBPgGufDmnJ17eWg9z23a1kEgKWfL7IdLTcwkO8WTRkqEamfSMPJ6maMM2fHzE/LZ4CD/O2sXG9VG4VXBkwqSumhz+AJs3nEEmUzBuzBod3UaMfJeRo9sa7YdmvSKRSeXsWLiforwi/Cp7M3RmXx2vvCRdtx/O7rmEQqZg7fe6a61af/gO7/ZrqtmOv/oASVoOddvUNHr816lDl5FtObjmBNsX7idfUoCD2J4G7Wtj3aqZng7B7RuhkMq5/sc+ZIVFOAf60PDLfjo5/Iuycl5LbHnbUGckxQoWX0glvUBOsNiK3zoF4OWgfranF8hIydeGbcoUKuadSSYtX4almQnBLlYs6hTAO/7aRd6bbmQgU6r4fH+izrE+rufOyPqvPiPbfxyT/421Cm8TItX/J+hb4D9CRkYGo0aNYubMmQQGGvdu/Rv4M974TM5/ig+UCW9aBVRxxr8r8Z9iTbeEN60CHQr6vljoNbPv0f8/9On/S8E//xTGK+PjnJg3rQKXQwx/Wfo/SXWXl/sC7Ovk4OOXS5v6v87pp2/eaPzh0s43rQIWoze/aRX+MbLfe7+2ts0/3vTa2n6b+Z/w+P+vIpfLkUgk/Pnnn4SGhv7rjX4BAQEBAQEBgTfFwYMH+euvv5BIJPj4+DBw4EDN2tKyPP8Qa1nmz5+vEwJ97tw5Nm3aRGpqKu7u7rz//vsvHdb9TxAM/7eYO3fuMHXqVDw9PRk3bpzOvri4OGbMmGG07j8JTZoxYwZxcYa/btq1a1e6dev2t9sUEBAQEBAQEPhHvEXpPKOjo1m9ejVDhgyhUqVKHDlyhBkzZjB//vxy07QvWLAAGxvtomsHB22o1t27d1mwYAG9e/emXr16XLhwgfnz5zNt2jSddOyvEsHwf4sJDw9n82bDU3RBQUHMmTPnlR5vxIgRSKVSg/tK5+IXEBAQEBAQEPg3sWfPHlq0aEHLluqF5wMHDuTatWscOnSIDz74wGg9R0dHbG0NJ8bYu3cv1atXp2vXroDayXrr1i327t3LmDFjXvk5gGD4/9diYWGBh8erXbjj4uLyYiEBAQEBAQEBgf8ErzGdp0wmQyaT6ZQZSiMO6tDrBw8e0KVLF53y6tWrc+fOnXKP89VXXyGTyfDx8aFbt25UrarNYnX37l06dOigI1+jRg327dv3N8/m5REMfwEBAQEBAQEBgX8VO3bsYOtW3WxRPXr0oFevXnqyubm5KJVKHB11v7ng6OiIRCIx2L6zszPDhg0jMDAQuVzOqVOnmD59OpMnTyYsTJ2IQCKR4OTkpFPPycnJaJuvAsHwFxAQEBAQEBAQeOt4HWlVn9O1a1e9j4sa8vbr6CPS18dQGYCXlxdeXtqU0KGhoWRkZLB7926N4W8IlUpltM1XgWD4CwgICAgICAgI/KswFtZjCAcHB0xMTPQ88Tk5OXqzAOURGhrK6dPa79UY8u7/3Tb/Lm8+ya2AgICAgICAgIBAWUxNXt/f38DMzIzAwECuX7+uU379+nXNx19fhocPH+qE9oSGhnLjxg29NkNDQ/+Wfn8HwfAXEBAQEBAQEBB4+zAVvb6/v0nHjh05evQox44d48mTJ6xevZqMjAxat24NwPr161m4cKFGfu/evVy4cIGUlBQeP37M+vXrOX/+PG3bar+w3b59e65du8bOnTtJSkpi586d3LhxQ2/B76tECPUREBAQEBAQEBAQKIfIyEjy8vLYtm0b2dnZ+Pr6MnHiRNzc3ADIzs4mIyNDIy+Xy1m7di1ZWVlYWFjg6+vLhAkTqF27tkamUqVKjBkzho0bN7Jp0yY8PDwYM2bMa8vhD4LhLyAgICAgICAg8BbyOhf3/hPatGlDmzZtDO4bNWqUznbnzp3p3LnzC9ts0KABDRo0eCX6vQyC4S/wX8UHZklvWgWyvSq+aRVwftMKAB0KGr1pFdhr++ebVoGByT3ftApgZvGmNWC/ffU3rQLtpNlvWgXIUrxpDehY0f9Nq4DoLYgk7vhg55tWgfM9279pFWj4phUQeKsQDH8BAQEBAQEBAYG3j9f4Aa9/K2/+lVxAQEBAQEBAQEBA4LUjePwFBAQEBAQEBATePt6yGP//BQSPv4CAgICAgICAgMC/AMHjLyAgICAgICAg8NYhEmL8XzmC4S8gICAgICAgIPD2YSIEprxqhB4VEBAQEBAQEBAQ+BcgePwFBAQEBAQEBATePoTFva8cweMvICAgICAgICAg8C9AMPwFyuXEiRMMHDjwTashICAgICAg8G/DxOT1/f1LEUJ9BMolMjKSWrVqvWk1jLJ+9y1WbL1BelYRwRWdmDSiARFVPQzKHopKYOPeOOIeZCGVKQj2c2L0h7VpEuGjken35V4u3niqV7dpXR+WTG9jVA+VSsWK30+xa9sVcnOLCa/mzReT2hIYXKFc/Y8fjmPpohMkPc7G29eZ4Z80p1nLypr9y387yYrFp3TquIhtiV7VXbcf9t1mxfZbpGcXEuznxKQhdYkIdzfcD9GJbNx/l7iHWUhlSoL9HBn9fg2a1PbWyMjkSpZuvcHOY/dJzSwkwNuRLwbUpkkdb4Ntlu6HVYvP8Nf2a+TlFhNW1ZPPJ7YmINit3Honjtxh+W+nSX4swcvXiWGj3+GdFqGa/XK5klWLozi87xaZmQWIXW1p91413FAhQj0V7N6kGlW/6I1rnRBsvFw52vU7Hu06U+5x3d+pTr15H+MU7k9RcgY35mzizpI9OjIVuzWh9rRB2Ad5knc/hcvfrODRTuPtrt9xjRUbL5GeVUCwv5hJo5sSUcPHoOyhU/Fs3HmduHvp6jHpL2b0oAY0qeevkYl/mMEvK88SezeN5Ke5TBzdlAE9a5d7Xuu3X2HF+gukZ+YTHODKpE9bElHT17AOJ+6wccdV4u6lIZUqCA5wZfRHjWhSP1BH7uDxO/yy/DSPkiT4eTsxZtg7tG4aarDN56hUKg6uPcXZvVcpyi/Gr7IX3T9ph6e/8fFwdt8VLh6+wdOEdAB8QjzoMLg5FSvrjj1JRi57lh8j7sJ9ZFIZbt5ifL96h6qh2ntu/a4brNh0lfTMQoL9XZg0qjER1b0M98Op+2zcfZO4exnProULowfUo0ldP4Pye4/FM+77Q7RsFMCi6e2Nns/67VdZseGi+lr4uzLpsxbGx8PJu2zcEVPqWogZPbgRTeoH6MgdPHGHX5af0V6LoY3LvRbr159i5YojpKfnEBzsycRJPYiICDYqf+FCPLNnbePevRQqVHDkoyGt6dOniY5Mbm4hCxbs5vDhGHJzCvHxEfPV+G40bVrViA4nWbHisEaHSZN6EhERUo4Od5k1a6tGhyFD3qVPn3c0+/v1+4mLF+P16jVtWpUlS0YZ1uHkI1YeTiA9p4RgTzsm9qxMRIizQdnL97KZt+MuD1ILKJYq8HKxplcTHwa29NfIyBRKlh54wK5zyaRKSghwt2Fc11CahJf/vFOpVOxcFcXJ3TEU5BUTGOZF/7Hv4h1gvN6J3TFEH7zBkwcZAPhX8qDH0KYEhmnH852YR+zbeJ7EO0+RZObzyQ/dqdOk/HtU4N/Hv/eVR+ClsLCwwNHR8U2rYZB9Jx8wc8l5RvSpyY5FXYio6sGwbw6SnJZvUP7SzadE1vZm6bR32fZrZ+rX8GLklMPcupehkfn1u1acXv++5m/34m6Ymoho0yTAYJvPWbcqmg1rzzFuYltWrv8Isastnw3/k4KCEqN1blx7wrdfbaNtx2r8sXUYbTtW45svtxF7PUlHLjDIjT3Hxmr+1m0brtsPpx8yc/klRvSqxo4FHYkIc2fY1KMkpxvph9g0Imt6snRyS7bN70D9ah6M/P44t+5namR+XneVTQfu8s2weuxd1Jk+bUMZPfOEjowh1q8+z6Z1Fxk7oRXL/uyPi6stYz/eTGE5/XDzWhJTxu+iTYdwVm0eRJsO4Xz31S5ibyRr2111jl1bYxgzoTXrtg/h4zHN2LDmApectOdoZmtN9vX7nPvk13J1fI6dvwet984gNeoGf9UezrWZG6j/82gqdtMaOG4Nwmi28VvurTvMrprDuLfuMM03fYdrvcoG29x37A4zF55gRL967FjWl4jq3gwbv5Pk1FyD8peuJREZ4cfS2V3YtuwD6tfyYeTEXdy6m6aRKS6W4+vlyLhhjXFzsXnhee07EsfMn48yon9DdqwaSER1H4Z9sYXkp0Z0iHlMZL0Als7tybaVA6hf24+RX23j1t1UjczVm0l8PnkX77UJZ9eaQbzXJpyx3+7iWmyywTafc2zTWU5sO0/30W0Zu3AwDi52LB7/J8WFxsfDvWuJ1G4ezqg5H/LZzwNxruDI4gnrkWRo9S/MK+KXMWswNTVh2Iw+TFg+gs7DW+Fga6nth+PxzFwUxYi+EexY2ouIap4Mm7Cb5NQ8w/1wPZnIOr4sndmRbYt7Ub+mNyO/3sut+HQ92aSnufy4+AwR1TzLPf99R28z85djjOjfgB0rBxBRw4dhX2wt51o8IbJuRZbO6c62Ff3V12L8dgPXYjfvtQlj1+oBvNcmjLHf7TZ6Lfbtu8ysmVsZPqIN23dMpE5EMMOHLSI5Ocug/JMnGYwY/ht1IoLZvmMiw4a3YcYPWzh08KpGRiqV89HgX0lKyuTnn4ewb/93TJv+Ae7uTkZ0uMTMmVsYMaItO3ZMIiIimGEv0GH48EVERASzY8ckhg9vyw8/bObgwSsamV9/Hc7p07M0f7t3f4upqQlt2hh+Kd53KYVZW24zvG0g2yc1pE6wE8MXXSY5q8igvLWlKX2b+bH283rsndyYEe0C+eWve2w+/Vgj8/Nf8Ww+/YSve1dhz3eN6N3El0+WxHDrseHrq9Fl/TkObr7Ah2PeZfLSgTi62DLn840UlXNf3L6aSP2WYYz/+QO++b0/YncH5nyxkex07XguKZbhF1SBD8e8W+7x/6sQPP6vHJFKpVK9aSX+F5gyZQp+fn6YmJhw8uRJzMzM6N27N40bN2blypWcO3cOR0dHBg8eTK1atVAqlSxZsoSbN28ikUhwdXWlTZs2tG+v9RwpFArWrFnDqVOnMDExoUWLFkgkEgoLC/nqq690jmthYcHRo0cxMzOjdevW9OrVS9NOYWEha9eu5eLFi8hkMgIDAxkwYAD+/v4AJCQksGbNGu7fv49IJMLDw4Nhw4YRFBTEiRMnWL16NatXrwZg0aJFFBQUaI4PsHr1ahISEpgyZco/6ou/g+rhj5r/9/rsL8KCxUz5pJGmrP3QrbRsWJFxg+u+VHsdh22jXdNARvU1rMeaHTf5Ze0VTq9/HxsrcwCyvXQ9hiqVik4tF9D7w3r0G6zWRSqV06H5T4wc05KuPesYbPubL7dRkF/C/N8/0JSNGbEeBwcrpv3YDVB7/E8dv8MfW4bp1HVOSNT2wxf7CAt0YcrIBtp+GLmLlvV9GTegfM+wph9G7aJdE39G9akBQJOBWxjRsxp9O2gN3FE/HMfGyow549SGcbqfrtGjUqno0noRvfpG0HdQA00/dG6xkBFjmtG5R02Dx5781S4KCkqYu0g7ZseN3Iy9gxVTZr0HwFefbMVFbMOEKdr745txO8jY8YROqS56bQ5SHn2hxz9i1lB8OzVkR/hgTVnD38fgUj2IvY0+AaDZhm8wd7DlcIeJGpnW+2Yizc7nZN8fABiY3FOzr9eIDYSFVGDKuJaasvb91tCySRDjhjU2qktpOg5YQ7vmlRg1sIHevha9VzCgRy19j7+ZhVaHoX8QFurOlC+1M1TtP1hGyyahjPu46cvp0Hc57VpWYdSz8Tz2213kF5awbJ72Gg35fDMO9lb8NFV9jfYXmuu0oVKpmNznZ5p2rUfLPpEAyKVyvu01n05DWhDZ0fB9URalQsmkbnPpProtdVtXB2D38mM8jH3Mp/MH6Mi2M83W9sPILYSFuDFlbDNtPwxcT8tGAYwb2vDl+mHQeto1D2FUf+3zRKFQ0m/sTrq1rcylGynk5ZfoevwttC9nvYauI6xSBaZ8oTXE2vddQcsmIYwbofVel6vDhytp17Iyowap+3Dsd3+RXyBl2bweGpkhn295di06AaBy9dfs693rR6qE+TJlyvuasg7tp9GyZQ0+H9dZ73hz5+7k+LHr7N33naZsyuQN3L6dxMZNXwCwceNpVq44wt5932FubmpQb1Epv2KvXrMJC/NlyhTts659+6m0bFmDceO6GNBhB8eOXWffvsmassmT13P79hM2bfpKTx5gzZqj/PLLHk6fnoWNjfoFUHV8p7YfZp+jiq8DUz4I0/bD1Cha1qjA511eziv+yZKrWFuY8uMg9Th8Z8IJhrcNpG8z7azQ6MVXsbHUypwP171XVSoVY7r+yrs969Khr3ocyqRyPu3yC72GN6d555f7TVQqlIzsMJ9+Y96lUdtqevsHvjNT4/Fv6D7wpdp8G1HuG/Ha2jZpv/i1tf028+995XkNnDx5Ent7e2bMmEHbtm1ZtmwZ8+fPJzQ0lNmzZ1OjRg0WLlxISUkJSqUSsVjM2LFjmT9/Pj169GDDhg1ER0dr2tu1axdRUVGMHDmS6dOnU1RUxMWLFw0e19LSkhkzZvDhhx+ybds2rl+/DqgfMjNnzkQikTBx4kRmzZpFQEAA06dPJz9f7S399ddfcXFxYebMmcyaNYsuXbpgamr4Yf46+uKfIJUpiI3PoFFt3en/RrW9uRqXZqSWLkqlioIiGY72lkZlth68S/umgRqj3xDJSRIyM/Kp11AbGmFhYUatOhW5EfPEaL2b155QL1I3nKJ+o0BuXNOt8zgxi04t59Ot7a98+9U2kp5ojRupTEHsvUwa1dJ9GWlUy5Ort/U9lYbQ9IOdth+kMgWWZX7QLS1MuVxO36Yk5ZCVUUDdhtrZEQsLM2pG+HIzJslovZvXk6jbQHdGpV7DAG5e09apXsuHy+cTeZSo9hDeu5PG9atPCCqweqlzNIRbgzCSD1/WKUs6eBHXiFBEZupzd2sYRtLhS7oyhy5RITJcrz2pTEHs3VQa1a2oU96orh9Xb5bvGX+OUqmioFCGo8M/Oy+pTEHsnac0qqfbn43qBXD1pvFroKdDkVRHh5jYJBrV1W2zcb0AYm4YbzPzqYS8rHwqRWjHuJmFGcHVK/LwlvH7oizSEhlKuRIbe2tNWezZu/iGerJ62ja+7fkTc0cs4+w+rTdYfS3SaRShG6bTKMKXq7H6oXyGMPZ8WLT2Ii6OVvRoH2akZmkdntKorr+uDnX9/961KCxzLW4m06hUKBhA4/oBxBgYY1KpnNjYxzRqVEVXh0ZVuHr1gcFjxsQ80JdvXIXY2ERkMgUAx45dp2bNAKZP20TjRhPo1Ol7liw+gEKhNKLDIxo10u2vv6tD48ZhOjqUZevWaNq3j9AY/To6yJXEPsqlUZhYV4cqYq4+kBhsryy3HucS80BC3RCto0EqV2JprmtGWZqbcPledtnqGtJTJORkFVC11P1kbmFG5Rp+3Lv58vdFSYkMhVyJ7T98VvzXYCJ6fX//UgTD/xVSsWJFunfvjqenJ127dsXCwgJ7e3tatWqFp6cnPXr0IC8vj8TERMzMzOjVqxfBwcFUqFCBJk2a0LRpU86ePatpb//+/XTp0oV69erh7e3NRx99hK2trcHj9uzZE09PT5o2bUpgYCA3btwAIDY2lkePHvH5558TFBSEp6cn/fv3x8bGhnPnzgGQkZFBtWrV8Pb2xtPTk4YNG2pmA/4TfWEMmUxGYWGhzt9zsnOLUShViJ2tdeqIna3JMDJ1W5ZV225QWCyn3TuGw3iu30knPiGbnm0rldtOZob6BcpFbKdT7iK2JSvTcLjN83ouLrrX08XFVtMeQHg1b777oTPzf/+ACVM6kJlRwLB+q8jOLQYgO7dE3Q9Oug9/saM1GZKX7IedsRSWyGnXWGuwNq7lxepdt0hIzkWpVHHmajLHzj8mvZy+1fRDmXAUZxdbMsvph6yMAlzEZfpBbEtWRoFmu++g+rRsF8aHXZbRLGIOg/usomffCMLyXxz6YgxrDxeKUnV/oItTszExN8PK1VEjU2xAxtpDPy44O6cIhUKFuMz5i51tycgq1JM3xKpNlyksltGu+T+Ly82WFBrXIbPASK0yOmy4QGGRjHal1ppkZBYgLjNWxS62pGcZbzMvS33N7Z1069k525JXTr2y7Fl+DEdXe0Jra+/TzJRsondfxs3bmeEzPyCyY212LDrEzkO3AcjOKe/58JLXYvNV9bVopo2Fv3IzhW374pj+RfMX1teOB/1+e+lrsfGiWocW2mdQRlYBYuey19fG4LWQZOejUChxFTvoyovtySgVOlWajPQ8xGJ7nTJXsQNyuZLsbPU1ffI4k4MHr6JQKlmyZCQjRrRl1apjLF58QK+97Gc6lG1TrUOOQR3S03MNypfWoTTXrycQH59Mz56N9PYBSPKlKJQqXO0tdMrF9pZk5JTvfGo28QTVPzlEz5lneb+pHz0ba9dnNK4iZvXRBBLSCtTPybgMjl1LIz3XeJs5z669Q5lx4eBiS87fuC+2LD6Bs5sdYXXKD0MVECiLsLj3FeLnp/UumZiYYG9vr1P2PFY+N1f9wD106BDHjh0jPT0dqVSKXC7XGNyFhYXk5OQQHBys02ZgYCBKpa5XpfQxAJydncnJUT9QHzx4QHFxMYMHD9aRkUqlPH2q9nx16NCBJUuWcPr0aapVq0aDBg3w8DC8QPZl+bt9YYgdO3awdetWnbJNsyN0tvXe2VUgeokX+T3H77Nw3VUWTW6F2MnaoMzWA3cI8XemeiXdBVcH995g9rS9mu25i9RT6GWPqw6iK18ZkQFlSxc1bKK7AK9adR96dFjIzmMPGNQlrFSdsu2oXnBkNXtOPmThhuss+rqZTj98PbQe3y48S/uRuxABvp72dGsVzPYj9zQyh/bGMvf7g5rt2b/20D8B1LNOhs6zNPp9p9IpO3owjsN7Y/luZicCgtyIv5PKr3OO0sTemmp5+i/DL4tepOPzg5YqNyRTXoCk/pmqXm5MHrnNwtVnWfTDe3qG3d/F4Hh4GR0O32LhyjMsmtUNsbNuv+o3qdvm5aM32Lxgn2Z76Pd9nlUsv155HN0UzdUTsYya2w9zC+3PlUqlwjfUiw4ftQDAJ9iDp4kZbPjrJl3e1b6w6PXDyz4fjt5l4R8XWTS9veZa5BdK+XLGYaaPa46zo+FnhiEM99uLldhzOI6FK6NZNLOLgWtR/nNDf2cZFYy0Yax9FSqdYyiVKsRie6ZN+wBTUxPCq/qRnpbDipVHGDXK8EJnwzq/vA7acv2yrVvPEBLiRfXq/kbbM1RZxYuvxbpx9SgsURDzUMJPO+Op6GZDh7rqMMdJvarw3Z+xdJgShUgkwtfVmq4NvdlxVjujE33oJmvmaV+Ixs5Wh8uJ0H9OvtRDG/UagfNHbzHhl75YWP6Pm3H/4lj818X/+Ij5z2JmptudIpFIJ2Tm+QNGqVQSHR3NmjVr6N+/P6GhoVhbW/PXX38RHx+v10ZpDC3JKHvc0nJKpRJnZ2dN/H1pbGzUP2i9evWicePGXLlyhZiYGDZv3syYMWOoV6+eXh1DD0m5XP5CncrrC2N07dqVjh076hamLgTA2cEKUxMRGdm6HuhMSZGel68s+04+4JsFp1kwqQWRtQ1nqSkqlrPv5AM+7a8fI9+4WShh1UplwJGqzz8zIx9XN62XKjtL35NdGrGrnZ4nPCurQG/moDTWNhYEhVQgMVn9wuTsYGm4H3KKjb7QPGff6Yd882s0C8Y3JbKmbqiQi6MVi75uTolUgSSvhAou1sxbcwUfd61ujZsFE1ZNW+95P2RlFuDqppWTZBfqzWzoHMvVlswMXU9XdlYhzqX67vf5J+g7qAGt2qpfdoJC3EhNyWX7/LP/2PAvepqFjYfu+gCrCk4oZXKKM3M1MtYGZMrOAgA4O1pjairS8yhnZhe+0JDfd+wO3/x4mAVTOxAZUbFc2fJwdrJR61DGo5yZXajnedbT4Ugc38zcz4LvuxBZJjzFVazvpc7MLsS1lEEa3jCUL0pl3pE/C8nIyy7AsZT3Nl9SiJ3zi6/Z8S1nObLhDB/P7otXoG6GKgcXO9z9XHXK3P1cuXP6FgDOjs+eD2WvhaToxdfieDzfzD3OgsltiKyjzYT0ODmHpKd5fPy19qVf+ew5G97qN/av6YuftzYRgmY8GLwWL9Dh6G2+mXWABdPf078WLrZkZJV/LZ7j5GyHqamJnnc/K1Pfq69p301/NiAzMw8zMxOcnNT3tZubA2bmppiaao2ywCAPMtJzkUrlWJR6SXM2okNmZh7iMjMRz3Fzc3ihDs8pKpKyb98lPv20k8G2AJzsLNTjoYwnPitPitjBwkgtNT6u6msV6m1PZq6UhXvuaQx/F3sLFo6oRYlMgaRARgVHS+btvIu3q/bZW6txCEGlMu88vy9ysvJxctWeS152IY4vcV/s33Ce3eui+eqn9/ENKj9r3P8EguH/yhF69A1x+/ZtKlWqRJs2bQgICMDDw4PUVG3mBhsbGxwdHbl3T+thVSqVJCQk/K3jBAYGIpFIMDExwcPDQ+fPwUH70PXy8qJjx45888031KtXj+PHjxtsz8HBgexsXaOnvHCd/w/m5ubY2Njo/D3HwtyU8BBXoq/qxspGX02mVhXjD8M9x+8zcd4p5o5vRrP6htP0Aew/9QCpTEmnFvop72xtLfH1c9H8BQS5IXa14+LZhxoZmUzB1cuJVKtpOG0fQNUaPjp1AC5EP6CakVR/oI6XTXiQgZuL+ofFwtyU8GAx0TG68b3RMSnUqmw8Ndyekw+Z+HM0c79oQrO6xo9naWGKu9gGuULFoehHtKivNYRsbC3x8XPW/PkHueLiasvFswkaGZlMQcylx1StaTwNaNXq3lw6l6BTdvHcQ6rW0NYpLpYhKhOTaWIi4v+TmSD93C28WukuMPV+N4KMS3dRydU/zulnb+FdVqZ1BGnRsXrtWZibEh7qTvQl3fsh+tIjalU1nEIS1J7+iTMPMvfbdjRrGGhU7mWwMDclvJIH0RcTdHW4mECtqsavwZ7Dt5j4wz7mTulEs8ggvf01w7312jxz8SE1S70AW9lY4ubtovnzqOiKvYsddy5r47jlMgX3ricSEGZ8zAEc23yWQ+uiGD7jffwq6fddQLgvaU90M0ylPcnEy11tzKqvhRvRlx/ryERffkytcOOzmXuO3mXi7KPM/bo1zRr46+wL9HPmrxV92LGst+avRWQA9Wt6s2NZbzwq6Bqkah08iL5YdjwkvuBaxDHxh/3MndzR8LWo6qV/LS4kUNPAGLOwMCM83Jfo6Nu6OkTfplYtw2OtZs1APfkzZ+IID6+oWchbu3YgjxLTdRw3CQlpuLk56hj9Wh38iI6OK6ND3At00JU/c+aWjg7P2b//MlKpnE6d9B1VGh3MTAj3cyA6TnfMRMdlUivQyWi9sqhQx/WXxdLcFHcnK+RKFYevptKyuvY3yNrGEncfF82fl78rji62xF5K0MjIZQpuX3tEcNXy74t9G87x1x9nGDenNwGVy88oJSBgDMHwf0N4eHhw//59YmJiSE5OZuPGjTpGPkC7du3YuXMnFy9eJDk5mVWrVpGfn/9S08TPqVatGqGhocyZM4eYmBjS0tK4c+cOGzdu5P79+0ilUlasWEFsbCzp6encvn2b+/fv4+1t+IepatWqPHjwgJMnT5KSksLmzZt59OjR/6sv/ikDu1Vl64G7bDt4l/uPJMxcco6UtHz6PMtEM2/lRcbPOamR33P8PhPmnmT80HrUqFyB9KxC0rMKySuQ6rW97eBdWkX64fwSC6dEIhG9P6zHmhVRnDh6m/vxaUz/ZhdWVua8216b03rqpJ389vNRzXavvvW4cPY+a1eeIeFhBmtXnuHi+Yf0/rC+RuaXuYe5cimR5CfZxF5PYtLnWykoKKFLC61BMLBzFbYevse2w/Hcfyxh5vKLpKQX0KedOk583porjJ8fpe2Hkw+ZsCCK8YPrUKOSG+nZRaRnF+n0w7U76RyKTuTx0zwuxaYydMoRlCoVQ7oZztH9vB969Y1g3YqznDp2lwf30pnx7V4src1p3U67UO/7b/aw+BftdenxQR0unnvIn6vOkfgwkz9XnePS+UR69tWGdUW+E8za5dFEn7pPSlIOp47dZdO6i4Tma6+Pma0VLjWCcKmh7hu7AA9cagRh66v+Ea4z4yOarB6vkb+9eDe2FStQd97HOFb2I2RQW0IGt+PmvM0amVu/bMfr3QiqfdUHx0q+VPuqD16tahP78zaDfTCwV2227r3Jtr03uZ+QycyFJ0hJy6PPe+oMH/OWRjH+B+20/54jt5kw4yDjRzalRpgn6ZkFpGcWkJev9UxKZQri4tOIi09DJlOQmpFPXHwaiU8khnXoXZetu6+xbc917idkMPPno6Sk5tKna021Dr+fZPx07bcK9hy+xYTpexn/SXNqhHuRnplPema+jg79etXhzMWHLFt3jgeJmSxbd46zFxMZ0Cui7OE1iEQimnatx5ENZ7gedZuUh2lsmPMXFpbm1G6hHUd/zt7FnhXHNNtHN0Wzb/UJ+nzRERcPJ3Kz8snNyqekSDs+m3avT2JcEofXR5GelMXlYzc5t+8qfbto2x3YsyZb991i2/5b3E/MYuaiKFJS8+jTSb0we96ys4yfeUTbD0fvMmHWUcZ/3IgaYe6kZxWQnqW9FpYWZoQGiHX+7O0ssbWxIDRAjIWB7DYD+0Swdc91tu25oR4PvxxTX4su6uxZ8xafYvx07QzCnsNxTPh+H+NHN6NGuKfha9GzDmcuJrBs3fln1+I8Zy8lMqCX4SxJAwa2ZNvWaLZti+b+/afMnLmVlJQsevdRZ5n6ad4uxo9fo5Hv06cxyclZzJq5jfv3n7JtWzTbt51l8GBtpqo+77+DRFLAjB+28vBhKidO3GTpkoN80NdwpqKBA1uydeuZZzqkMHPmFlJSsjXfBpg3byfjx68upUMTkpOzmDlzK/fvp7Btm1r/wYNb6bW9bdsZWrWqgbOz8ZlSgAEtK7LtzBO2RT/hfko+M7fcJiW7mN5N1M6Mn3beZfzqGxr5P0884vj1NBLSCkhIK2B7dBKrDifQqZ72BevaQwmHrqbyOL2QS/HZDPv1MkolfPSu8bh7kUjEuz3rsntdNJdP3eHJg3SWz9yDpaU5DVprwzeX/rCbLUtOaLb3rT/H9uWnGDy+Pa4ejkgy85Fk5lNcqL0vigulJMankhivdiJmpEhIjE8lOfnlkgu8lQiLe185QqjPG6J169YkJCSwYMECRCIRjRo1ok2bNly9qs2V3LlzZyQSCQsXLsTExIRWrVpRo0YNTP7G1JdIJGLixIls2LCB33//ndzcXJycnKhSpQqOjo6YmJiQl5fHwoULycnJwd7envr16+ukAy1NzZo16d69O+vWrUMmk9G8eXOaNm36Roz/9k0DkeQWs+jPq6RnFxJS0Zkl09/F+5nXLz2rSCen/6Z9t5ErVExbdJZpi7SLqLu0CmHWF9ofrIdPcrgcm8qKGW1fWpcPB0VSUixn7g/7ycstIqyaNwsW98W2VF7x1Ke5mJR62FSv6cu02d1YsvAESxeewNvXme9/7EZ4de1LV3paLpPHb0eSXYiTiy1Vq3mzfN1gvE21IQztmwQgySth0abrpGcVEVLRiSXftcT7mQcyPbuI5HRtaMCmg3fV/bD4AtMWX9D2Q4sgZo1RL44rkSn4+c8YHj/Nw8bKnKYR3swe2xgHu/KnxT8YWJ+SYjnzZhwiP7eYKtW8+On3XtiU7oeUXJ2X12o1fZg86z2WLzrN8kWn8fZ1Yurs9wgvFUY0dkIrli86zU8zD5GdVYirmx2du9fEfbx23LlGVKLd8Z802/V/GglA/OqDRA3+EWsPMbZ+Wk9cfsJTDneYRP2fRlJl5HsUJmdy/rOFJG4/rZFJO3uLE+9/T+3pg6g1bSB595M50Wc6GRd0PaKaa9GiEpKcYhb9cZ70zAJCAsQsmd0Fbw/17Fp6ZgHJadq825t230CuUDJtwTGmLdAav13ahjFrojodZ1pGPl2H/KnZt3LjZVZuvEzdmj6s/VmbSlSjQ6sqSHKLWLTqjFqHQFeWzO2Jt4fjMx3ydb4rsGlXjFqHeYeZNu+wVod2VZn1TQcAalfzYd7U9/h56Wl+WXYaX28nfpr2HjXCjc9kALTo3RCZVMbWXw9QlFdExcrejJj1AValMq9kp+XojIczuy+jkClYPU335apNvya07a9OR+pXyYvBU3qyd8UxDq07jYuHE10+bk2nVlqDq33zEPXz4Q/1x9RC/MUsmdlJey2yCnWvxZ5YdT/8fIppP2s/mtelTWVmjdcavX+H9i0rI8kpYtHq6GfjwZUlc7qXuRaldNh1Ta3DT0eY9pP2paRLu3Bmfa2Ona9dzZt5Uzrx87Ioflke9exadDJ6Ldq3r4NEUsBvi/aTnp5LSIgni5eMxNtbneEmPT2HlGTtLK6PjyuLl4xk1qxtrF9/igoVHJn0dU/ebaNNM+np6czyFaOZNWsbXTrPwN3diX79mjFkqOH88e3bRyCRFLBo0V6NDkuWjNLRoXROfx8fV5YsGcWsWVtZv/4kFSo48vXXvfRy9D98mMrly/dZseLTF1+LCE8kBTJ+23uf9NwSQjztWTyqNt5i9expek4JKaWSF6hUKn7aGU9SZhGmJiJ83az5vEuI5kUBoESm5Je/4nmcUYSNpSnvVHVj9sBqONgYzwIH0P6DBkhL5Pzx00EK8osJquLFF/P6YF3qvshM1X1OHt15BblMwaLvdui01XlgY7oOVr9APbyTwuzP1mv2bViodjR17ZrNrFmzXthHAv8OhDz+/0UolUrGjh1Lw4YN6dOnz5tW541QOo//m6JsHv83Qek8/m+Ksnn83wR7bf98sdBrpnQe/zeGWfkvZP8JyubxfxOUzuP/xrD4/y3MfhWUzuP/phC9BQEFpfP4vynK5vF/E/xX5/E/Mea1tW3SbMFra/ttRvD4v8Wkp6dz7do1wsLCkMvlHDhwgLS0NBo3frkPAQkICAgICAgICAg8RzD832JEIhEnT55k7dq1APj6+vLtt9/i41P+AiABAQEBAQEBgf96hKw+rxzB8H+LcXV1Zfr06W9aDQEBAQEBAQEBgf8BBMNfQEBAQEBAQEDg7eNfnH3ndSEY/gICAgICAgICAm8fQqjPK0foUQEBAQEBAQEBAYF/AYLHX0BAQEBAQEBA4O1D8Pi/coQeFRAQEBAQEBAQEPgXIHj8BQQEBAQEBAQE3jpKf71Y4NUgePwFBAQEBAQEBAQE/gUIHn8BAQEBAQEBAYG3DyHG/5UjGP4C/11IZW9aA7Y+ePNTj8P8q75pFdj3KP9Nq8DA5J5vWgVWe2150ypQKdz6TavAkaUfvGkVaLZ1z5tWgeIZ/d+0Cjjt3vimVSBtc9KbVgGXZk5vWgW+PuD2plXg2I9vWgOBtwnB8BcQEBAQEBAQEHj7EDz+rxzB8BcQEBAQEBAQEHj7EL7c+8oRXqUEBAQEBAQEBAQE/gUIHn8BAQEBAQEBAYG3DyHU55Uj9KiAgICAgICAgIDAvwDB4y8gICAgICAgIPD2IcT4v3IEj7+AgICAgICAgIDAvwDB4y8gICAgICAgIPD2IcT4v3KEHhUQEBAQEBAQEBD4FyAY/m8JixYt4scfX93n9UaNGsXevXtfWXv/lBMnTjBw4MA3rYaAgICAgIDAfxsmJq/v71+KEOpTDlOmTMHf3/9vGa7/pI7AP2f9vtus2H6L9OxCgv2cmDSkLhHh7gZlD0UnsnH/XeIeZiGVKQn2c2T0+zVoUttbIyOTK1m69QY7j90nNbOQAG9HvhhQmyZ1vA22+RyVSsXZjSe5fugKJQXFeIR403J4O1z9KhitE382jvNbo5CkZKFQKHH2dCGic0PCmlc3KH9+axRR645Ru2N9hn3fXWffn5uiWbHmJOkZeYQEuTPpy/eIqB1gsJ209Fxmz9vDzbgnJD7KpN/7jfj6q/d0++roDRavOMajR5nI5Qoq+rkyqP87dOlY54X9ELXhJDGHrlCcX4xXqDfvjmiHWzn9cCc6juitUWSnZKGUK3H2cqFel4ZUK9UP0VuiuHP2NllJGZhZmOFd2ZfmA1qCo6VOW+t3XGPFxkukZxUQ7C9m0uimRNTwMXjcQ6fi2bjzOnH30pHKFAT7ixk9qAFN6vlrZOIfZvDLyrPE3k0j+WkuE0c3ZUDP2kbPxb1JNap+0RvXOiHYeLlytOt3PNp1ptw+c3+nOvXmfYxTuD9FyRncmLOJO0v26MhU7NaE2tMGYR/kSd79FC5/s4JHO42369G7PV4Du2Hh5kLh/Uc8nL2MvCuxRuVdOzTDe1B3rPw8UeQXIjlzmYS5K5Hn5GlkTO1t8fu0H+KWkZg52FGclErC3BVITl8y2q5KpSJ+50kenbyMrKAYp0BvqvZvj7238fFQmuRzN7m6eBvutSoR8VkfTfndHSeI33VSR9bSwZbv33HVKTOL7IRZs56IHFxQPU1Euut3lA9vGj+gqTnm7/bFtHZLRA7OqCQZyI5uQHHhIAAi94qYt+2PiU8IJi4eSHf+jvz0jheeh0qlYsXvp9i17Qq5ucWEV/Pmi0ltCQwuvx+OH45j6aITJD3OxtvXmeGfNKdZy8o6Mmmpufy24Chno+5TUiLDr6KYmW09Cfex18isj05m5YknpOdJCXa3ZeJ7gUQEOr5Q7ysPc+i/+Doh7rbs+Fw77g/dyGDpscc8yihCrlBR0dWagU296VzH8LMXwLpVB2zb98DEyQV5UiJ565Ygu2N4TDoM+xzrd1rrlcufJJI5YYRm27JuI+x69Me0gieKtBTyt6yh5FK0UR02Xk1n1cVU0vNlBLtaMb6FL3V87AzKXniUx+BN8Xrlfw0OI1Bspdk+fCebX8+k8FhSgq+TJZ829qJVqJNRHZ4zoHUIHer7YW9tTtwjCb/svElCar5R+Z+GN6BmkFiv/FxcGpNWXQTg/eZBNKnqgV8FO0pkCmITslm2//YLdXmrERb3vnIEw1/gv5Z9px8yc/klvhtRn9pV3Nh0IJ5hU4+yZ9F7eLnpP8wvxaYRWdOTsf1rYW9rwfYj9xj5/XE2zWlH2LMH6s/rrvLXiQdMH92QQB9Hoq4kM3rmCTbMbquRMcTFHdFc/uscbT/tjLOXmHNbTrN18joG/zYKC2tLg3Ws7Kyp37MJLt5iTM1MeXApngO/7sLGyQb/WsE6sk/jk7h+6Apu/vo/rPsOxjBzzm4mT+pC7Zr+bNx6nqGjVrB3+zi8PJ315KVSOc7Otnw8pCWr1502qJujgw0fD2lJoL8b5uZmHD8Vx6TJWxC72NEkspLRfji3PZoLu87R8bPOuHiLObP5NBu/W8ew30ZhaWOkH+ytiezZBLGPuh/uXYxn78+7sHW0IbC2uh8e3UykTocIPEO8UCqUnFx7nI2T/2TE2n7YWJur++HYHWYuPMF3Y1tQu6oXm3bfYNj4nexZ0x8vdwe94166lkRkhB9jhzbC3t6S7ftiGTlxF5t+f5+wULVBVlwsx9fLkbbNQpm18ITR836Oma012dfvc2/1AVpsm/pCeTt/D1rvncHd5fs41W8mFRpVpeGiTylOzyFxu/rauDUIo9nGb7ny3Soe7YjCr2tjmm/6jr1NPiPjgv6PurhNE/zHD+XB97+Td/UW7j3bEfb7FK52Hon0abqevH2tMEJ+GMvDH5eTffICFhXEBH07iqCpn3JnzA8AiMzMCF86HVlWDnc+n4k0NQMLDzcUBUXlnt+DfWd4ePAs1Yd0wc5DTPxfpzg/Zy3NZo7GzMh98ZzCDAlxmw7hEupnuO+83aj/ZX/NtshEBIe2aLZNazbFvPMIpNt/RfkwFrOGHbAc+gPFPw5BJdHvBwCL/l8jsndGuvknVBnJiOycwNRUewwLS1SZT5FdO41F5+Hl6l+adaui2bD2HN9Ofw/fimJWLzvNZ8P/ZONfI7G1NdwPN6494duvtjF0VDOatqzMyaO3+ebLbSxZPZDw6mpHRG5uEcMHrKZOXX9++u19XFxsefI4G/v72nGxLyadWX894NuuwdT2d2DTuRSGr7jJ7i/q4OVsZfDYAHlFciZsvEuDYCcy82Q6+5xszBjewpfACjaYm4o4EZfF15vvIrazoHEl/WeOZf13sP9wOHmrFyG9ewvrFu1x+nI6meOHo8zUvxZ5axeTv2mVtsDUFPEPiyi+oH1emQdXxnH0RPK3/kHJpWgsIyJxHD2RrOlfIL9/R6/N/bezmHXsCd+09qWWty1brmUwYus9/hochqeDhdF+2PNRGHYW2jHgbKM1m2KS8vli90NGN/aiZYgTR+MlfLH7AX+8X4nqXrZG2+zTLJAeTQL4cfN1Hqfn82HLEH4cWp8Bc05QVKIwWGfyH5cxM9V6qR1tzVk2pgknr6doymoEurArOpE7TySYmIj4qG0lfhxSz6geAv9OBMPfCIsWLeLWrVvcunWLffv2AbBw4UIyMjJYu3YtiYmJ2NnZ0bRpU/r06YOpqanROq6urixZsoSbN28ikUhwdXWlTZs2tG/f/h/pNmXKFHx9fQE4ffo0JiYmvPvuu/Tu3RuRSPt2XFJSwm+//ca5c+ewtbWle/futGrVSrM/KyuLNWvWcP36dUQiEZUrV2bgwIFUqFBB0wcFBQVUrlyZPXv2IJfLiYyMZODAgZiZqYdOfn4+q1ev5vLly8hkMsLCwhg0aBCenp4GdU9ISGDNmjXcv38fkUiEh4cHw4YNIygo6G/3w+pdcXRvFUzPd0MAmDS0LlFXk9mw7y7jBuh7ZScNrauz/Xn/2hw7/5jjF59ojPpdJx4womc1mkaovcTvt69E1NVkVu28xZxxTQzqoVKpuLL7PPV7NiGkYRUA2n7WmcUD5hF36iY12hj2kvtW89fZrt2pPrHHr5F067GO4S8tkrJv/g7eHdWRc5v1DfVVa0/TvWtdenarD8DXX71H1Nm7bNhyjnGfttOT9/F24ZvxnQHYtvOiQd3q19W9HgP6Nmbn7ktcvppg1PBXqVRc/Os8kb2aUClS3Q8dx3Tml/7zuHXqJrXaGu6HimX6oe579blx7BqPbz3WGP59pvbVken42Xv83G8esXdTqfvMo7968xW6t69Kz47VAJj0STOiLiSyYdd1xg1rrHfcSZ8009n+fFhjjp25z/HoBxrDv1oVD6pV8QBg3tIog/qXJunABZIOXHih3HMqj+hEwaM0Loz9DYCc249wjQil6rheGsM//LNuJB++zI1ZGwC4MWsDHu9UJ/yz7pzs+4Nem179u5C2/TBp2w8BkPDjMpwa1cajd3se/bxGT96+eiVKktN4un43ACVJqTzduh/vQdpZpQpdW2PmaM+Nfl+ikqsNk5IUw8bzc1QqFQ8PnSe4UxM8I9TjocbQLhz5dC5J525QsXmE8bpKJTFLthPSpRnZdx8hKyzWkzExMcHKybC3FsDsne7ILxxAcf4AALJdizGtFIFZZCdk+1bqt1cpAtOg6hT9MACK1DMdquxUHRnl47soH99V7+swuNzz15yLSsWmdRcYOLQxzVqp++Hb7zvToflPHNp3k649Dd8Xm9adp26DQAYMUY9d/yGNuXrpEZvWnWfaj90AWLcyGnd3B76Zrp2x8/R2wiknUbO95lQS3eq607O+ehxP6hzEmbvZbDybwuftDc8KAkzeFk+HWm6Ymog4ejNTZ1+9ICed7f5NvNl5OZXLD3MMGv627bpSdOIQRSfUMyf565ZgWa02Ni07kL95tX6fFRWiKirUbFvWaYjI1o6ik4c1ZTZtuyC9eYXC3ZsBKNy9GYsq1bBt24WcRbP12vzjUhrdqonpUV09KzShhS9nHuayMSadse8Yn9F1sTHDwcqwqbT2choN/R0Y2kDdt4FiDy49zmft5TTmeBnv2+6NA/jz2D1O33wKwOxN19j2XSta1vRmz/lHBuvkFem+fLWo6UmxTKFj+E9Yofs8/3HzdXZM1p85+a/iXxyS87oQetQIgwYNIjQ0lJYtW7J06VKWLl2KmZkZM2fOJCgoiDlz5jBkyBCOHTvGtm3bjNZxdXVFqVQiFosZO3Ys8+fPp0ePHmzYsIHoaONTki/i5MmTmJqaMmPGDAYNGsTevXs5evSojsyePXsICgrixx9/pE2bNixbtoykpCRA/VIwdepUrKysmDp1KtOmTcPKyooZM2Ygl8s1bcTGxpKamsrkyZMZNWoUJ0+e5MSJE5r9v/32G/fv3+err77i+++/R6VSMXPmTJ02SvPrr7/i4uLCzJkzmTVrFl26dMG0lEftZZHKFMTey6RRLS+d8ka1PLl6u3yD5DlKpYqCIhmOdlqPm1SmwNJcVx9LC1Mux6UZbScnVUJBdj4VawZqyszMzfCpWpHk249fSheVSkXitQdkJWXiHa7r4Ty6dB8BdUKoWCNQr55UJic2LonGDUN1yhs1COHqtYSXOvbL6Hb2fDwPE9KpayR8CEDyrB8CyvSDX3hFnsS9fD8kPOsHv3DDnl6A4oISABzt1R5LqUxB7N1UGtWtqCPXqK4fV28mv9SxlUoVBYUyHB2Me0FfNW4Nwkg+fFmnLOngRVwjQhGZqcehW8Mwkg7rhtMkHbpEhchwvfZEZmbYhQUjib6qUy6Jvop9zcp68gB5MXFYuLvi1ERtiJuLnRC3bkT2Ke0xXZrXJ+/abQK+/piIE2upuX0R3kN6lvujXJQuoSQnH9eq2pdIU3MzxJX9yb73xGg9gPhdJ7Gwt8WvqfGwqoLULI6MmcexL37mym9bKUzL1u40NcPEJwTlnSs6dRR3LmPiH2awPdPwhigf38W8RU+svluP1YSVmHcaCmbGvcEvQ3KShMyMfOo11N4XFhZm1KpTkRsxxvvh5rUn1IvUvefrNwrkxjVtndMn7lI53ItJ47bSvuk8+vdayq6t2nOWypXEJuXRKFTXGG8U6szVxFyjx95+8SmPM4sZ1bqiUZnnqFQqzsZnk5BWZDh8yNQMs4AQpDd1r4X05hXMQwxfi7JYN22DNDYGZab2OWweXAXpjTJtXr+MeUgVvfoyhZJbTwuJ9Ned+Yv0d+BaUkG5x+75x22a/XadjzbFc+FRns6+a8kFRPrb65Q1CrAnJtl4m54u1ogdrLh0N0NHv2sPMgmvqP/SZIx2dX05fi2FYpnhGQIAWyMvLAL/boRRYQQbGxvMzMywtLTEyckJgA0bNiAWi/noo48QiUR4e3uTnZ3Nn3/+SY8ePQzWAbVnqlevXprtChUqcOfOHc6ePUtkZOQ/0k8sFjNgwABEIhFeXl48evSIvXv36nj0a9WqRZs2bQDo3Lkze/fuJTY2Fm9vb86cOYNIJGLEiBGaWYKRI0cycOBAYmNjqVGjBgB2dnZ89NFHmJiY4O3tTa1atbh58yatWrUiJSWFS5cuMX36dCpVUnuBP/30Uz7++GMuXrxIw4YN9fTOyMigU6dOeHurPSzGZgYAZDIZMpmul8P62b/ZuSUolCrETrpGmtjRmgzJyxl6q3bGUlgip11j7Y9b41perN51i4iq7vh52HP2WgrHzj9GoVQZbadAoo7LtC3jfbRxtCM3XVKuDiUFxSz5aD4KmQKRiYiWw9vjX1NrKN0+fZO0+0/pO3eIwfrZ2QUoFErELrrHdhXbk56RZ7DOy5KXV8Q77/6AVCbHxMSEyZO60qjMC0ZpCrIN94Otkx05L+iH4oJiFg7S9kObEe0JqGV4FkilUnF05SF8wnwJDVR777JzilAoVIhdbHRkxc62ZGQlGmpGj1WbLlNYLKNdc+Pn+Kqx9nChKDVbp6w4NRsTczOsXB0pepqFtYcLxQZkrD30jQQzZwdEZqbIMnXlZZnZWIgNG9F5124TP2EuleZ8hcjCAhNzM7KOn+PhzMUaGUsfdxzrVSd97wniRk7Bys+bwK9HIDIz5cnijQbbLc5RjwdLB93xYOFgS1FmjpEegaz4Rzw+dZUm00YYlXEK8qbG0C7YeoiR5hYQ/9cpor9fgaSBM04WpohsHRCZmqLK1+0HVX42InvDxpWJ2AOTgKoglyJdNRVsHbDo/gkiG3ukm34yqsuLyMxQ94OLWLcfXMS2PE0x3g+ZGfm4uOiGi7i42GraA0h+ks2OzZfo068BA4Y04tbNZH6afRDHLoF0iXBHUiBDoQRXe92XF7GdORllwneek5BexE/7Elg7sjpmpsbjq/OK5DT7/jxSuQoTE/iua7DeCwaAib36WihzdK+FIkeChdOLDV0TJ2csakSQ89tsvXJljkSnTJkjwcTRRa+N7CI5ChWIbXVNHrGtORkFhl+A3OzMmfKuH2EeNkjlSnbfyuKjTfGs6hNChK/a2M8okCO2Mddt08acjALDfQvg8sxZkZ1foqtjvhR3J2tDVfSo7OtIoKcDc7deL1duZKcwrj/MonqAfp/81yB4/F85guH/N0hKSiI0NFQnnKZSpUoUFxeTlZWFq6ur0bqHDh3i2LFjpKenI5VKkcvl+Pv7/2NdQkJCdPQIDQ1lz549KJVKTJ7dKBUrag1akUiEk5MTubnqh9yDBw94+vQp/fv312lXJpORmqqd3vbx8dG0B+Ds7MyjR+qpyKSkJExNTQkJCdHst7e3x8vLSzOzUJYOHTqwZMkSTp8+TbVq1WjQoAEeHh4GZXfs2MHWrVt1yjZNr6GzXboP1Kh4maVAe04+ZOGG6yz6uhniUg/br4fW49uFZ2k/chciwNfTnm6tgtl+5J5GJu7kDQ7/rl182fWb940cRWVAP10srC3pN384siIpj64/5OTKQzi5O+NbzZ/c9ByOLz9I9yl9MbMo/1YtexyV6sXHfhG2tpbs3DSGwkIpZy/EM2vubny9XTRhQDdP3ODAb9p+6PXd+8900W1HhQpecFUsrS0ZvGA4smIpCdcecnTlIZw8nPXCgAAOLdlPekIqH84apLdP/ygqPX0MsefIbRauPsuiH95D7Gzz4gqvEJWqzEvlc4VLlRuSKVuk02bZApHo2XXQxzrQl4AJw3i8eCOS6CtYuLpQcdwgAr8dxf3JvzyrboIsS8L9qQtBqaTg1n0sKrjgPbCbxvBPir7OjTXa8VB37AfPjq13wkZHg7yohJglO6g2qBMW9savQ4XqITrbTsE+nPjyF3Y/KaBfYCmvrl4nlTMYRCaAipI/Z0GxOsxE9tcSLPp/C9sWglxqvG4pDu69wexp2oxqcxcZuS9UL9AHQ8833XaUShWVw734+LMWAFSq4snD++lsjLpNlwjjC22N3ZEKpYov199m9LsVCXAr/z6wtTRl+9jaFJYoOHdPwuzdD/AVW+mFAWkPqnstRIgMXB99rJq0RlWYT8mls0bOpHSj5bepPxSNPx8CXKwIcNE6lmp62/E0T8rqi2kaw//5IctqVLqoZS0vPu9WTbM98dlCXL1bGozeo2VpV9eXBym53H5s/MXx0y7hBHrY8+nvZ9n8dcuXalfg34Fg+P8N9H58X5Lo6GjWrFlD//79CQ0Nxdramr/++ov4eP2MAa8SQyE0SqUSUJ9LYGAgn376qZ6Mg4P2h7NsGyKRSNMPxvqjvH7q1asXjRs35sqVK8TExLB582bGjBlDvXr6C5C6du1Kx44ddQsfzwfA2cESUxMRGdm6iwszc4p1DHlD7Dv9kG9+jWbB+KZE1tQNFXJxtGLR180pkSqQ5JVQwcWaeWuu4OOu9dYF1QvFI1S7sE8hU4c1FUjysXPR/iAU5hRg42R8gReoFyQ6e6q9MRUCPch8ksH5bVH4VvMn9X4KhTkFrBu3TCOvUqp4ciuRsP0XuXFhBs7OtpiampCRqevdz8zKx1VsPP75ZTAxMaGin/pltkplL+4/TGPpyuMawz+kXihepfvhWXhXfnaZfpAUYPsS/eDipe4H92f9cHZrlJ7hf2jJfuIv3OXDGQNwcHUA1Oft7GiNqamIjKxCHfnM7MIXGvL7jt3hmx8Ps2BqByIjXhza8CopepqFjYeuN86qghNKmZzizFyNjLUBmbKzAADy7FxUcgUWYl1PqrmLE7JMiUEdvIf0JDcmjuTV2wEovJuAoqiYan/8yKNf1yLLyEaakaWO7X/2/AAoevAYCzcXRGZmqORy3GtVwilIm0FJ+Ww8lOTkY+WkHQ/SvEIsHA2PzYK0bIoyJFxasEFT9vx5sm/wNJrOGo1tBX3vpZmlBfa+7jzKV4eCqApyUSkUiOx1ZUV2Tqjy9PsNQJWbhSonQ2P0AyhTHyEyMUHk5Ioq4+VmEhs3CyWsWqlMYVJ1P2Rm5OPqpu2H7KwCXMTG7wuxqx2ZmbpZXrKyCnRmDlzd7AkI1HU4+Qe4cnKP2pvsZGuOqQlk5Om+tGTlyxDb63qqAQpKFNx8kk9c8j2+36l2dihVaiO16vjTLB9ajQbBTgCYmIio6Kp+1lbxtuN+WiFLjz3WM/yVeeprYeKkey1MHB31PPaGsG76LkVRx0ChGz6qlGRj4qg7zk0cHFHm6l9fZ2szTEVqD71OPxTqe+zLo7qnLXtuZWm2XW3N9Lz7WYUyxLbaNqNvpRL3SKLZtjBTO9Jc7C3JytN6/Z3sLMjOe/HLpaW5Cc1reLH60F2jMp90DicyzJ0xv58lI0d/fcx/FUJWn1eOYPiXg5mZmcZQBrX3+/z58zre1Dt37mBtbY2Li4vBOgC3b9+mUqVKmrAbQMer/k8o+9IQHx+Ph4eHjne+PAICAoiOjsbBwQEbm3/m4fTx8UGhUBAfH68J9cnLyyMlJQUfH8MpFAG8vLzw8vKiY8eOLFiwgOPHjxs0/M3NzTE3130oP3+lsDA3JTxYTHRMMq0bamPBo2NSaFHP1+ix95x8yNe/RjPviyY0q2tcR0sLU9zFNsjkSg5FP6JtqXAgC2tLnUw9KpUKW2c7EmMe4B6oDl1SyBQ8uZlIkwGt9NouF5UKxbOYzYo1Ahjws264w4Ff/8LFW8yPn7TG1NQEU1MTwqt4c+ZsPK1bVNX2w/l4WjbTjwH//6BSqTMCPcfSxlInU8/zfkiIeYBHkLYfHsUm0vxv9oOqVD883z605AB3z92m74z+OJUJc7EwNyU81J3oS4m0fke7MDr60iNaNDa+cHzPkdt8PfsQ875rT7OGgUblXhfp527h21E3JM773QgyLt3VLKJNP3sL71Z1uLVgm1amdQRp0fqpEFVyOfm37uHUsCZZx7QeUqeGNck6ft6gDqZWlqgUunHCqufPsGfPubyrcbi2b6rjUbWu6I00LRPVMwPfzNpSJ1OPSqXC0tGOjNgHOFZUjwelXEHm7QQq9zI8Huw8XXnn+491yu5sO4a8WEp437ZYuxhOQamQyclPTsfV7ZmjQiFH+SQek9DaKG5q056ahtZGEWvIcwyKhFhMazQBCyuQqo0lEzcfVEoFKkmGwTqGsLW11MnUo1KpELvacfHsQypVUfeDTKbg6uVERo4x7omtWsOHi2cf8n6/BpqyC9EPqFYqPW21mj48StBdePsoMQsvZ/XxLcxMCPe2JzpeQutq2heE6LvZtAjXz1JmZ2nKrnG6IWEbolM4f0/Cgv5V8HExvv5FpQKp3IDTRyFH/jAei6q1dFJtWlStTcllw9fiOeZVqmHm4Y3k5EG9fbJ7cVhUrU3hgZ3aNqvVRhYfp9+OqQlhHjacTczVSbV5NjGP5sEvTmv6nNtpRbjZaX+TanjZcjYhj/6lZleiE/KoWSqjT1GJgqKSMg6J3GLqhLhyL1n9cm9mKqJGoJil+16cerNZdS8szEw4ctXwrPqnncNpXNWDsUvO8jS7/KxbAv9OBMO/HNzc3IiPjyctLQ0rKyvatGnDvn37WLlyJW3btiU5OZnNmzfToUMHjcFdto6dnR0eHh6cPHmSmJgYKlSowKlTp7h3754me84/ITMzkzVr1tC6dWsePHjA/v379cJ2yqNJkybs3r2bOXPm0KtXL8RiMRkZGZw/f5733nsPsdh46srneHp6EhERwZIlSxg2bBhWVlasX78eFxcXIiL0M3ZIpVLWrl1LgwYNqFChApmZmdy/f5/69ev/rXN/zsDOVRg//wxVg8XUrOzG5oPxpKQX0KedOkZ73porpGUVMnusOivGnpMPmbAgiklD61Kjkhvpzx6KVham2NuqY2Cv3UknNbOQKoEupGYWsnDDNZQqFUO6VTWsBOpZkNqd6nNhaxTOXmKcPV04vzUKM0tzqryjrbd/wU7sxPY06af+sT+/NQr3YE+cPFxQyBU8vBzPrRPXaTlCne3JwtoS14q6Y8Tc0hxrextCg7XhUYP6NeGrrzdRNdyHWtX92LTtPCkpEvr0UBsM837ZT2paDj9+r82DHndb7b0sKCohKzufuNvJmJubEhyk/gFbsuIYVcN88PMVI5UpOBV1m117LjNlUtdy+6Hue/WJftYPLl4uRG+JwtzSnLBS/bB7/k7sXexpNkDdD9FbovAM9sTJ0wWlXMH9S/HcPH6dNh9rs14dXLyfW6du0OPr3lhYW5L/bD1BsZUcK0v1Y2xgr9qM/+EAVSu5UzPck817bpCSlkef99TfA5i3NIq09Hxmf91WPR6O3GbCjINM+qQZNcI8Sc9UL8izsjTD/tmCb6lMwf1nhpVMpiA1I5+4+DRsrC2o6OOk1wdmtlY4BGu9vXYBHrjUCKIkK4+Cx2nUmfERNl6unB6ojle+vXg3lUd1pu68j7m7bC8VGoYRMrgdJz/QZuu59ct22p1cQLWv+vBo1xn8OjfCq1Vt9jb5zOB1SP5jJyEzPyc/9h551+Jw79kWS083UjerM435fTYAiwpi7n2tjlvPOnmBoMmf4N6rnSbUJ2D8UPKu30GWrvZuPt20D88POhIwYRgp63dj7eeF99CepPy5u9zxEPBufe7tPo2tuwu27mLu7TmNqaU53g20oQ8xS3dg5WxP5Z6tMLUww96nzJi3URubpctvbTyEe81QrMWOlOQWcO+v08iLSujk46aRkZ/ahsX7X6F8chdlwi3MGnRA5FwB+Vl1OJJ5+8GIHMVIN8wBQHHlGKrWfbHo8wWyg38gsnXEvNNQdQ7/52E+pmaI3J85GkzNETm6IvIKhJJiVJmGZwREIhG9P6zHmhVR+FR0wdfPhTXLo7CyMufd9tr7Yuqknbi52zPyM/V90atvPUYOWsPalWdo0rwSp4/f4eL5hyxZPVBTp0+/Bgzrv4rVy6Jo2SaMWzeS2LX1CtO6al9iB7zjzYSNd6jqY0fNig5sPp9CiqSE3g3VLyE/7XtIao6U2e9XwsRERKiH7iyE2M4cSzMTnfKlxx4T7mOHn9gKmULFqbgs/rqcxnfddNMQP6dg/w4cP/4C2YN4ZPfisG7eDhOxG4VH1WPSrtdATJzF5C6Zp1PPumkbpPduo3iiv06n8OAunL+Zg03HnpRcPotlnYZYhNcia/oXBnXoH1GBiXsTCfewoYaXLVuvZZKSK6V3DfUL0fxTSaTlyZjZwR+AtZfS8HK0INhVfY67b2Vx+K6E+Z21CQ4+rFOBgRvusuL8U5oHO3H8noRzibn88b7xlMcA26Ie0rdFMEkZBTzJKKBvi2CKZQqOxmiN+Qm9a5CRU8zyA7qpSdvV8yUqNpXcQv11BJ91qUrLWl58s+YShcUKnEslrviv5S2L8T948CB//fUXEokEHx8fBg4cSJUq+gvKAc6fP8+hQ4dISEhALpfj4+NDz549qVmzpkbmxIkT/Pbbb3p1161bh4XF/y+xgDEEw78cOnXqxKJFi/j888+RSqUsXLiQiRMnsnbtWr788kvs7Oxo0aIF3bt3L7dO69atSUhIYMGCBYhEIho1akSbNm24evVqOUcvn3feeQepVMrEiRMxMTGhXbt2Ogt7X4SlpSVTp05l3bp1zJ07l+LiYlxcXKhatSrW1i+3wAjUC4JXr17NrFmzkMvlVKlShYkTJ2rSfZbGxMSEvLw8Fi5cSE5ODvb29tSvX19n4fPfoX2TACR5JSzadJ30rCJCKjqx5LuWeFdQT4WnZxeRnK7NrrDp4F3kChXTFl9g2mJtysUuLYKYNaYRACUyBT//GcPjp3nYWJnTNMKb2WMb42BX/g1Yt2sk8hIZR5fsozi/CM9Qb3pM+VBnZiA3PUcnZldWIuXokv3kZ+ZiZmGGs7cr7cZ2pXLjv+epb9+mJtmSQn5bcoS0jFxCgz1YunAw3l5qr3h6ei4pKRKdOl36LND8P/ZWEnv2x+Dt6cyx/RMBKCySMnXGDp6m5WBlaU6gfwXm/NCH9m1qlqtLg27qfji4WN0PXqHe9Jn6oc7MgKF+OLh4P3nP+kHs40qnz7sS1kTbD1f3qzPM/DnpD53jeU54l27t1HLtW1RCklPMoj/Ok55ZQEiAmCWzu+DtoQ5dS88sIDlNGxK1afcN5Aol0xYcY9qCY9q+aRvGrInq2bm0jHy6DvlTs2/lxsus3HiZujV9WPtzT73zd42oRLvj2oWg9X8aCUD86oNEDf4Raw8xtqU+Zpaf8JTDHSZR/6eRVBn5HoXJmZz/bKEmlSdA2tlbnHj/e2pPH0StaQPJu5/MiT7TDebwB8g8eBpzJ3t8RvRRf8DrXiJxI6do0m9auDlj6ak1kNN3HcXU1hrP9zvi/8VHKPIKyLlwncT5qzUy0tQMYod/R8CXQ6i5bSHStExS1v1F0sptZQ+vQ2D7Riikcm7+sQ9ZQRFOQT7U/6KfzsxAUWbO316PUpyVy9XF29RhQ/a2OAf5EPntELzOamPrFTEnkdk4YN66r/oDXimJlCz/BlW2OhxI5OCCyKnUS4a0mJIlE7DoOgqrMQtRFeap29iv7QeRgxjrcdpFzybNe2LevCeKe9co+f1Lo/p+OCiSkmI5c3/YT15uEWHVvFmwuK/OzEDq01xMSoU1VK/py7TZ3Viy8ARLF57A29eZ73/spsnhDxBW1YtZ83vy+8/HWLXkFJ7eToz56l062WsXrLav6YakUMZvRx6RnislxMOWxR9VxftZDv/0XCkpEt2Fpi+iUKpg2o57pEqkWJmbEFDBmtnvV6J9TTeD8iXnT5Fnb49d1w/UH/B6koBkzneaLD0mTi6Yuuq+8ImsbbCq24i8tUsMtimLjyNn4SzsevbHrkc/FKkp5CycaTCHP0C7yi7kFClYHP2U9AIZIa5W/N49CK9nHwHMyJeRUirURqZQMvdEEmn5UizNTAgWW/Fb9yDeKZW5qJa3HXM6BfBrVDK/RqXg62TBnE4B5ebwB9h44gGW5qZ81rWq+gNejyV8tey8Tg7/Ck7WKMuEzfq42lI9wIUvlxmevescqZ6ZXjBCP7HGfy2it8fwj46OZvXq1QwZMoRKlSpx5MgRZsyYwfz58w2u8YyLi6N69eq8//772Nracvz4cWbPns2MGTMICNC+QFpbW/Pzzz/r1H1dRj+ASPVPA9cF3hj/5q8Dq+7o5y3/T7NM6f+mVWCY//8vfv9VsPqR8a9M/qcY4Pj/y1z0KljtteXFQq+ZSuEv/7L+uti69IM3rQLfb139plWgeMbLz7y+LpwOnnjTKpC+2XAoyn8Sl2ZOb1oF2tz98E2rwLEfO7xpFf4xqkf/PKPWi5B7fqKXOdBQiPFzJk2aREBAAEOHDtWUjR07lrp16/LBBy/3/Pv888+JjIykR48egNrjv3r1alavXv3PTuIfIHj8BQQEBAQEBAQE3j5eo8ffUObAHj16GIxCkMvlPHjwgC5duuiUV69enTt3DM8ylUWpVFJUVISdna7jrri4mJEjR6JUKvH396d37946MwKvGsHwf8vIyMhg7NixRvfPnz//P6iNgICAgICAgMD/HoYyBxrz9ufm5qJUKnF01F0M7ujoiEQieanj7dmzh5KSEp1vHHl5eTFy5Ej8/PwoKipi3759fPvtt8yZM6fc7xz9fxAM/7cMZ2dn5syZU+7+KVOm/OcUEhAQEBAQEBB4E7zGxb3lhfUYw/C3NV68RikqKootW7bw5Zdf6rw8hIaGEhqq/WhkpUqVGD9+PPv372fw4MF/S7eXRTD83zJMTU2NftBKQEBAQEBAQEDgP4uDgwMmJiZ63v2cnBy9WYCyREdHs3jxYj7//HOqV69erqyJiQlBQUE8ffr0/6uy8WO8tpYFBAQEBAQEBAQE/ikik9f39zcwMzMjMDCQ69ev65Rfv35d8x0jQ0RFRbFo0SI+/fRTateubVTuOSqVisTERJycnP6Wfn8HweMvICAgICAgICAgUA4dO3bk119/JTAwkNDQUI4cOUJGRgatW7cGYP369WRlZTF69GhAa/QPHDiQ0NBQzWyBhYWF5sOpW7ZsISQkBE9PT02Mf0JCAh999NFrOw/B8BcQEBAQEBAQEHj7eIvy+EdGRpKXl8e2bdvIzs7G19eXiRMn4uam/n5FdnY2GRnar3wfOXIEhULBihUrWLFihaa8adOmjBo1CoCCggKWLl2KRCLBxsaGgIAApk6dSnCw4Y/hvQoEw19AQEBAQEBAQODt4y0y/AHatGlDmzZtDO57bsw/52USsQwcOPA//k2mt6tHBQQEBAQEBAQEBAReC4LHX0BAQEBAQEBA4O3jNabz/Lci9KiAgICAgICAgIDAvwDB4y/w34Wd/ZvWgKSnL/5Yx2vH5M3fugXyN60BYGbxpjWgUrj1m1aBO7FFb1oFHj+1etMqICtQvWkVeFJQ8qZVwDY+602rQE7q3/sw0utAbPLmn9W+d9/8tfiv5i2L8f9fQOhRAQEBAQEBAQEBgX8Bb95tKCAgICAgICAgIFAWweP/yhF6VEBAQEBAQEBAQOBfgODxFxAQEBAQEBAQePsQPP6vHMHwFxAQEBAQEBAQePsQDP9XjtCjAgICAgICAgICAv8CBI+/gICAgICAgIDA24fwAa9XjtCjAgICAgICAgICAv8CBI+/gICAgICAgIDAW4dIZPqmVfifQ/D4vwFUKhVLlixh0KBB9OrVi4EDB7J69eo3rdbfJi0tjV69epGQkGBUJjY2ll69elFQUPCfU0xAQEBAQEBAQEAPweP/BoiJieHEiRNMmTIFd3d35s2b96ZV+ke4urqydOlS7O3t35gO63fdYMWmq6RnFhLs78KkUY2JqO5lUPbQqfts3H2TuHsZSGUKgv1dGD2gHk3q+hmU33ssnnHfH6JlowAWTW9frh4qlYqb205y/9hlZAXFuAR7EzGoPY4+FV7qPBKjb3J24Ta861Siybg+mvK0uERu74km62EyxZJ8Go/tjU/dynr1/9x4hhWrj5OekUtIkAeTvupCRJ1Ag8dKS89l9txd3Lz1hMRHGfT7oDFfj++qI7N561l27r5E/L2nAISH+fD5p+2pXq3iC/vh/KaTxB6+QnFBMR4h3jQb2g6xn/F+uHcujkvbopCkZKFUKHHydKHWew2p0qy6RubcxhNc2HxKp56Nky0j947WKVu//Qor1l8gPTOf4ABXJn3akoiavgaPe+jEHTbuuErcvTSkUgXBAa6M/qgRTerr9tvB43f4ZflpHiVJ8PN2Ysywd2jdNNTo+Xj0bo/XwG5YuLlQeP8RD2cvI+9KrFF51w7N8B7UHSs/TxT5hUjOXCZh7krkOXkaGVN7W/w+7Ye4ZSRmDnYUJ6WSMHcFktOX9Npzb1KNql/0xrVOCDZerhzt+h2Pdp0xenwA93eqU2/exziF+1OUnMGNOZu4s2SPjkzFbk2oPW0Q9kGe5N1P4fI3K3i0s/x2AXpWrkIrf3/sLCyIz8pi+bUYnuTlGZVv5ufHqDoReuUf7NqJTKnUK+8SGkrf8KrsvXcPDurus2jaCcvWPRE5ilEmJ1C05XcU924aV9bMHMsOH2JRryUiB2eUkgxK9q9HFq1u2Lzhu9gM+FKvWs7o9iCXGW1WpVKxZcUZjuy6Rn5uCSHhngz5ojW+ga5G6zx+kMGmZVE8uP2U9Ke5DPysBR366PbLyK6LSX+aq1e3d5gzXzfWPgdNarTFrG5nsHVGlfkY+fGVqJLiDB5X5BOORe/peuXSVZ+gykrSKzep1AjzjuNQ3DuPfNdso+fj2KkdLj27YSp2RprwiPTfl1N085ZBWfcvP8Px3ZZ65SUJj0gc+uyeNzXF5f0eOLRugZmrGNnjJNKXr6Hw0hWjOmy4ksaqC6mk58sIdrVmQksf6vi++PfrypN8Bq6/Q7CbNdsHhWnKZQoVy86l8NfNTFLzZPi7WPF5M2+aBDq+sM0ufarT7N0QbG0tuB+fwdolF0h6nFNunXc7VaZF21DErrbk5ZVwKfoRW9ZeQSZTatrs2qeGTh1JdtELdXmrEbL6vHIEw/8NkJqairOzM5UqVQLA1PS/cyrLxMQEJyenN3b8fcfjmbkoiu8+a0rtqh5s2h3LsAm72bPqA7zc9R/ml64nE1nHl7EfNcDezpLtB+IY+fVeNi3qQViIm45s0tNcflx8hohqni+ly+3dZ7iz/yz1h3fB3lPMrR2nOD5jLR3mjcbc2rLcugXpEmLWH8Ktsv4LiLxEilNFdwKa1uTMgs2G++HAVWb+uJPJX3endq0ANm6JZujIpezdOR4vT2c9ealUjrOzHR8PbcXqdacMtAjnL92nQ7va1K7pj4WlGctXHWfwiCXs3f4V7u5ORs/l8o5oru4+R+tPOuPsKebC1tPsnLqOfgtHYWGkH6zsrKnbvQnOPmJMzExJuBTPkYW7sHG0oWKtYI2ci68bXaf002yLTES6/XAkjpk/H+W7ce9Su7o3m3bGMOyLLexZNwQvDwe9416KeUxkvQDGjmiqHg97bzDyq21sWtafsFB3AK7eTOLzybv4dEgTWjcN5fDJu4z9dhd//t6XGuH6L5jiNk3wHz+UB9//Tt7VW7j3bEfY71O42nkk0qfpevL2tcII+WEsD39cTvbJC1hUEBP07SiCpn7KnTE/qM/TzIzwpdORZeVw5/OZSFMzsPBwQ1Fg+AfdzNaa7Ov3ubf6AC22TTUoUxo7fw9a753B3eX7ONVvJhUaVaXhok8pTs8hcftpANwahNFs47dc+W4VJEr6bgABAABJREFUj3ZE4de1Mc03fcfeJp+RceG20bY7h4TSMTiYRVcuk5KXT/fKlfi2UWM+O3KYYrncaL1CmYzPDh/SKTNk9Ac5OdPaP4CEHInePvM6TbHq+TFFG35FcT8WiyYdsB09g7ypH6HK1r8WADZDv0Fk70zh2nko05MxsXcCE93ns6qogLzJg3QrlmP0A+xad4E9Gy4x6tv2ePo6s231WaZ/tomfNw7B2tbwfVFSLKOClyMNW1Ri9c/HDMrMXNkfZal+eXw/g+mfbebdUoanSaVGmDUfhPzoMlRJcZhUb4N5t2+Qrv4M8jKM6ixdOQpVSakxVqT/goG9G2ZNB6J8YvzFFsCuaWMqfDyE1F8XUxwbh2OHtnjPmEzCR6OQp+vrkL5oGRnL12i2RaamVFzyM/mntC+aroM+xKFlM1LnL0T66Ak2EbXxmjKRx5+Np+T+A70298dlMevoE759149a3rZsjslg+JZ7/DUkHC8HC6O655UomLT3IfUrOpBZqHudfzmdxJ7YLKa2rUiA2IozD3P5bMd9/vywMlXcbYy22b5rOG3fq8KyX6J5mpzHez2r8eXUVkwYuYviYsP3RcN3AujZrzYrFkZz73Y6Hl4ODPk0EoD1K7UOgCeJEn6cfFizrVSqWPhHL6O6CPz7EF6l/sMsWrSIlStXkpGRQa9evRg1apSezKlTp5gwYQL9+/dn6NCh/Pzzz+TkqD0BSqWSESNGcOiQ7o/igwcP6NWrF6mpqQDs2bOHcePG0a9fPz7++GOWL19OcXGxRv7EiRMMHDiQmJgYxo4dS79+/fjhhx/Izs7WyCiVSrZu3cqIESP44IMP+PLLL4mJidHsNxTqc+XKFT777DP69u3L1KlTSU/X/YFNT09n1qxZDBo0iH79+vH5559z5YpxD015rN4SQ/d2VejZIYygii5MGt0Ejwr2bPjLsEdv0ugmDOlTm2qV3fH3ceLzIQ2p6O3I8bMJOnIKhZIvZxzhk4H18PF6sedGpVJx58B5wjs3wbdeFZx8K1D/4y4opDISo2+UW1epVHJ20Xaqdm+GbQV9I92rZgjVe7XAt14Vo22s+uMk3bvWp2f3BgQFuvP1+K54eDixYbNhb6yPtwvfTOhKl/fqYm9nZVBm3qwP6dunEVUqexMU4M73k3uhVKo4ez6+3H6I2XOeut2bENygCuKKFWj9aWdkJTLunDLuZfWp6k9Qg8q4+Ljh5OFCzY71ca3oTnLcYx05E1MTbJ3tNH82jrY6+1dvukj3jtXp+V4NgvxdmTSmlXo87Lhq8LiTxrRiSN/6VKviib+vC5+PaEpFH2eOR93TyPyx6RKRdf0Z3r8hgRXFDO/fkAYRFVmzWd/TDuDVvwtp2w+Ttv0QRQ+fkPDjMkqeZuDR2/CMkX31SpQkp/F0/W5KklLJu3qLp1v3YxeufeGp0LU1Zo723P7se/Ji4ihJSSfv6i0K7z402GbSgQtc+XYViTuiDO4vS+URnSh4lMaFsb+Rc/sR8Sv2Eb/qAFXHaY2F8M+6kXz4MjdmbSDnzmNuzNpA8tErhH/Wvdy2OwQHs/3OHS4kJ/M4L5eFly9jaWpKYx/DszDPUalUSEpKdP7KYmVqyqd1I1h89QoFUn3D26JVd6RnDiA7sx/l00cUb/kdZXY6Fk07GTymWVgEZiHVKVz4NYrbV1FlpqJIuIPiQRmvtEqFKjdb5+9F57J30yW6DWxI/Wah+AW5Mfrb9pQUy4k6ZNjrDhAc5kn/T5rTqHUVzM0NO4ccnW1wFttp/i6fuY+7txMRnlqj07ROJ5Q3jqK8cQRVVhKKEytR5WViWqNN+XoX5kChRPunKvPiJTLBvMMY5NEbUUlSy23LuXtncg4cIXf/YaSPnpD++3Jk6Rk4dTJ8XygLC1FkSzR/lqHBmNjZkXPwiEbGoVUzMjdsoeDCZWRPU8nZs5/CS1dx7tHFYJtrLqbSvbqYHjVcCXK1ZmIrXzztLdh01fBL4HOmHkikfRUXanrb6u3bHZvF0IYevBPkiK+TJX1qudEowIHVF8rvjzadKvPXlptcPveYpEcSlv18BgtLMxq8E2C0TnAlV+Jvp3HuVAIZaQXcjEnh3OkE/INddOQUSiU5kmLNX16u/r3zX4XI5PX9/Uv59575G+J5XL9YLGbp0qXMnDlTT0Yul9O7d2/mzJnDl19+SVpaGr/99hug9rJHRkYSFaX7ox4VFUVoaCju7mpPpUgkYtCgQcybN49Ro0Zx8+ZN1q1bp1OnpKSE3bt3M3r0aKZOnUpGRgZr167V7N+3bx+7d++mX79+zJ07lxo1ajB79mxSUlIMnltGRgbz5s2jVq1azJkzhxYtWvDnn3/qyKxYsQK5XM7UqVOZO3cuffv2xcrKsPFZHlKZgti76TSK0PWSN4rw5Wrs05dqQ6lUUVAkw9Fe1+O2aO1FXByt6NE+zEhNXQrSJBRL8vGoHqQpMzU3o0IVfzLuPim3buz2k1g62BLUvPZLHassUpmc2LgnNI7UDT1p1LASV2MS/lGbhigqliKXK3B0NO7Fyk2VUCjJx6+mNlTGzNwM7/CKpNx5bLReaVQqFY+vPyA7ORPvMN1rK0nJYsVHP7F6xC/sn7eNnKdag0sqUxB75ymN6un+cDaqF8DVm/rhCYZQjwcpjg7a8RgTm0SjurptNq4XQMwN/TZFZmbYhQUjidZ90ZBEX8W+pn54FkBeTBwW7q44NVGHcJiLnRC3bkT2Ke2LhUvz+uRdu03A1x8TcWItNbcvwntIz1eW5s6tQRjJhy/rlCUdvIhrRCgiM7XB6dYwjKTDui87SYcuUSEy3Gi7FWxscLay4lqa1giSK5XcysygktjFaD0AKzMzfmvTlsVt2zGhYUP8HfVfwD+qWZMrT59yI92A4WZqhqlfKPI43fOSx13GLNCwzmY1GqJIvIvFu72wn7UBu6mrsOo+DMzLeIMtrbH/YR32M9djM3I6Jr5BBtt7TlpyDpLMAmrU89eUmVuYEVbLlzsGxtE/RSZTcPrgLVp0rIZI9Gw2zMQMkXsQysRrOrLKxBhMvAyPyedY9JuHxfAVmPeYgsi3qt5+04Y9URXmorx5tHzFzMywCg2m8LLufVF4+SpW4eXr8BzHtq0pvHoNeZr2WovMzVGVeeFTSqVYV9V3kkgVSm49LSQyQHfmLzLAgZikfKPH3XE9g0eSEkY2Nhw+KpUrsTTVvQ8tzUy48sR4m27udji52HAzJllTJpcruXMzlZDKbkbr3Y1Lxz9ITGCIWNNOjdreXLukO4Y8PB1YsLI7c5d05eNxTXBztzPa5n8FguH/f+ydd3hURdfAf5tset30TnogBAgdQu+9SxUQEEUBBQVUQMROE8GCKNKC9F4Seif0XhJIaCGk9962fX8s7LLsbkBffOH9uL/nyQM7e2buubNz7z1z5sy5Lxwh1Oe/jKWlJRYWFlWGybRt21b9f1dXV0aOHMm0adMoLy/H3NycFi1aEB0dTVZWFs7OzigUCk6dOkWfPpo47W7duqn/7+LiwsCBA1m6dCmjR49Wl8vlct555x3c3NwA6Ny5M5s3b1Z/v2vXLnr16kWzZs0AGDp0KLGxsURHR2u185j9+/fj4uLCW2+9hUgkwsPDg6SkJHbs2KGWyc7OpnHjxvj4+KjPzxBSqRSpVPvGbvHo37yCcuQKJY4SC63vHSUWZOeWGmzzSVZsvExpuZQurTXe1Us30tiy+ybb/xz4XG0AlBeobvLmdto3WDNbK0qzDcdsZsUnce/oZTp//95zH+tp8vJKkMsVODpqhzY5OdqQlW04jvrvMn9hNK4udkQ0MRzbXpqv6gdLe+1+sLS3pigrv8r2K0rKWf7OAuRSOSIjEa3f7YpPuMagcgv2pOOHvbH3cKA0v4Tzm0+wadpy3lv7NhI7C/LyS5HLlTg6aE9MHCVWZOc838byFevOUVompUs7jTGSnVOCo4O2p8/RwYqsXN02xRJbRGJjpDnaHmBpTh6mjvondkVXb3H7sx8ImfcJIlNTjEzE5B45w/1Zv6tlzLxcsWtUm6zoo9wc+yXmPp74T38PkdiY5N/XP9e5VYWFmwNlGdo6l2fkYWQixtzJjrL0XCzcHCjXI2PhprtK9Rj7RxP6gqe89QXlFThZGp5AphQVsejSRZIKCrEwEdMtIJBvW7Zi8uFDpD9KEhDh6YW/nT2fHT2itw2RtR0iY2Mdb7yyMA+RrX6djZzcMQ4MQymtpPT3LxFZ22Ex+ANEljaU/aXah6VIf0hZ5DzkKfcRWVhi1rYP1lMWUvzteygy9Rvx+Y/Gn91TY9POwZJsPfH5/5Tzx25TUlxO625hEPUohM/CBpGRMcrSfG3hkgLwtdffUEke0v2/ocy4p5pAhbbGpP+XSDd8gTJFtfoh8qiOcVh7Kv/6+Jl6GdvZIjI2RpanrYM8rwCxxIAOT9Z3kGDVqD5p3/+greaFy0j69aLs+g2kqelY1q2DddPGeifE+aUy5EpwtDTRKne0EpNdoj9M60FuOQuOpbDqzRDET4UVPqaZny2R5zNo4G2Nt8SMM4lFHLmdj1xp+Hzs7FXPrML8cq3ywoJyHJ11VxUeczYmERs7M6Z/3wlEIsRiIw7tiSd6qybM6l5CNkt+Okl6aiG2dub0HFCLz2d3NqyMwGuJYPi/gty/f59NmzaRmJhIcXExSqXqLpKdnY2Xlxd+fn54eHhw8uRJevfuTVxcHAUFBTRt2lTdxo0bN9i2bRvJycmUlZUhl8uRSqXqyQOAmZmZ2ugHkEgkFBaqHkSlpaXk5eVRvbq2RyYkJIQHDx7o1TslJYWgoCCNtwkIDtY2FLt06cLSpUu5du0atWrVonHjxlSrpn/D6LZt27QmIgAbFjTX+vzksQBQwtNF+og6lMCvq86z6JuuOEpUD+Ti0kqmfH+Abya1QWJnYbBuYsw1LizTbHxs+ckQA5JKMKCLtKyCM79to+HoHpjZGjaCnpen+0GpVOr2zT/kz+WHid5ziVXLx2Fmpnlw3jp2nSNPbADtMX2wSpenG1Aq9ZVqYWphxuD5Y5CWV/Lw2n1OrNiPnasErzBfAHzrBWmEq4F7iBeRY39h+57rjBzUSP2V7jkrn288HIjj1+UnWTS7L44S7YevbpNVt6nzzBeJUOqWAmDh743fZ+/y8Pf15J+6hKmTA9UmjcR/xjjuzvz5UXUjpLn53P3qV1AoKIm7i6mLA54j+r4Qw191Sk/p9/gEnyjXJ/NkUXMvb8bUrav+POvUqaebeFSval1u5+Vx+4mQw/icHOa2aUuXgABWXLuGo4UFI2vX5tuTJ/XG/Wuh97wMWGUiI1AqKV0+C8pVzoOyTX9g+e4Mytb/AtJK5PdvIr+vCc8pvRuL9bTFmLbuRflG1arsiX2x/DFHE4o59Yd+jw6te696Zmf8DQ5HXaNuE38cnPVsVtXpB7UCuqJ5qSjznvBGpyUgtnHEuGEvZClxYGKOSdcJyPb/BmV/w7mgT4cqDOTH2HZsh6K4hOJTZ7XKs377E9ePxuO7TNXv0tQ0CvcfxLZje4Nt6fwEBm7RcoWSKbvuM665B74Ohlekp7b3ZubeB3RfGosI8JaY0buWE9uva/YtNG3px4j3G6s///itar+GvlPXucaeoHqYKz3eqMWqP85x93Y2rm42vDm6Ifl5ZezcqAopvXYpVavOnfhs5v3e22Cb/xMIL/B64QiG/ytGeXk53377LXXq1OGDDz7A1taW7OxsvvvuO2RPbIZr0aIFMTEx9O7dm5iYGOrUqYOtrWoZMysri1mzZtGhQwcGDhyItbU1t27d4vfff0cul6vb0LepuKobz2MMGZTPU7ddu3bUqVOHS5cuce3aNbZt28bw4cPp0qWLjmyfPn3o3r27dmHeUgAkduYYG4l0vPs5+WVqQ94Qu4/c5vMfjrBwZici6mtijR+mFpCSXsT706PVZYpH51Sz/W/siXwTH087POuH4BjopZF59LuUFxRjIdE8dCsKS3VWAR5TnJFHSVY+J35Ypy573H8bhn5N1/njsXGtOhwCQCKxwtjYiOxsbc9hTm4xTo7/+RLvspVH+GPZQVYseZ/qwdrL3f6NgnELHqP+LJeq+qEkvxgrB00/lBaUYGlv2JMFqo269u6q83X2cyM3OZsLW2PUhv/TmJib4ujjwoOHKgNRYm+JsbFIx7ufk1eq47F/mt0Hb/L5rD0s/LY3EQ21j+fkqLtikJNXipNEt01ZXiFKmRxTR22PsomDPdKcfL3H9hzdn8IrN0lduRWA0oRE5GXl1Fo1l6Rf/kKanUdldi5KmRyeMHLL7j3E1NkBkViMsopNss9DWXoulm7aY83cxR6FVEZ5TqFaxkKPzJOrABfS07hzOFf9WfzogW1vbkZ+hca7aWem/flZKIE7+Xm4W6nGs7+9Pfbm5sxp00YtY2xkRA0nJ0SL9lI4vivK4gKUcjkiO22dRTb2KAvz9R+nIAdFfrba6AdQpCchMjLCSOKs36OvVCJ/EI+Ri6e6qEHzQAJDNdeKTKq65+bnlCBx0lyTBXml2Dv855N+gKy0Aq6df8CUWb21vygrQqmQI7KSaBualnYqr/9zokxLwKhGKwBE9m6I7FwR95mmEXj0TDD9aBOVy8dDgSa8S15QiFIuR+ygfV0Y29shy89/5rHtOren8OAReGqcywsKSf3ye0QmJhjb2iDLycVp9FtI03Xj6+0txRiL0PHu55bKcLQy0ZEvqZQTm17KrYwkvjuQBIBCqRqLtedeZMnAIJpUs8XB0oRf+gZSIVOQXybDxdqEH4+l4GmnCR+9fO4hdxM0EwETE9V1YWdvTsETGXds7cx1VgGepO+QOpw6eo9jB1V7kJIf5GNmLmbE2Cbs2nRdd4INVFbISH6Qj73EsCNL4PVDMPxfMVJTUykqKmLIkCE4OalSvd29e1dHrnnz5qxfv5579+5x9uxZrdCbu3fvolAoGD58OEaPHr6nT5/+W3pYWloikUi4desWoaGaWPf4+HgCAwP11vHy8uL8+fNaZbdv624GdXJyomPHjnTs2JG1a9dy6NAhvYa/iYkJJibaN2XlIzvD1MSYmsHOnLr4kA4tNDHlpy4+pG2E4Q1SUYcSmD7vMPM/70jrJr5a3/n7SNi5bJBW2U/Lz1JSWvlo47DqoW1iYaaVqUepVGJub0369XtIfFVZgOQyOZk3E6kzWL/3ydbDic5z3tcqu77xMNLySuoN74yl47M3FQOYmoipWcOLk6cT6NBOk/7y1JkE2rUxHH/9PCxdcZjFfx5k2eJ3qVVTdzOmqYWZVqYepVKJpb01D6/ew8X/UT9I5aTEPqDZMMNeOP0okUvlBr+VSWXkJmfj3FBlcJmaGFMzxI1T5xO1Um2eOp9I2+ZBhpoh6kAc07/fw/yvetA6QjdWO7ymJ6fOJzJiUEN12cnz9wmv5akjq5TJKI67g33TcHIPa643+6bh5B45qyMPYGxuhlKufZ7Kxwb+I2Oq6PJNnLq2Un1+9HS3qOZJZWbOf2z0A2SdicO7e1OtMs+ODci+kKCacABZp+PwbF+fuIVbNDIdGpB5ShNmUC6Tkf6UPnnl5dR2cSHxUXICsUhEqKMTq2OrzgLzNL529iQVqtq4npXFxwcPan0/tn59UouKqLvyG9UmVLkCeVIC4hr1kF3RbHIX16iH9OopvceQ3Y3FpH5LMDOHRxMTI1dPlAo5CgNZgACMvAJQpGg2WltYmWll6lEqldg7WnHtfCJ+IarQRqlUTtzlhwwd2+pv9YMhjkRfx05iSb2nx7BChjLjLkbV6qC4oxmDqs/nnrt9kYs/lKhuvsrcFCpXTtT63rj5YEQmFsiOLIeiHO3KMhnlCXewrBdO8ckz6mLLeuGUnKpaB4vaYZh6epC694BBGaVUiiwnF4yNsW4eQdFx3U3tpsZGhLpZciqxiPbBmgnIqcRC2gbZ68hbmxmzfZT2Hq91l7M496CQBb0D8LTT3vdhJjbC1cYUqVzJgfh8OlfXHKO8XEZ5uvbKSH5uKWHh7iTdV/WpsdiIkDBXNkYaTnRhZibWca4pFErVisUT94YnEYuN8PDSzWj2P8VrHIv/byEY/q8YTk5OiMVi9u7dS4cOHXj48CFbtmzRkXNxcSEkJITFixcjl8tp2FBjmLi5uSGXy9m7dy/169cnPj6eAwcM3zgN0bNnTzZu3Iibmxu+vr4cOXKExMREPvzwQ73yHTt2JCoqisjISDp06MC9e/c4evSolszKlSsJDw/Hw8OD4uJibty4gaenrhH1PIzoH86nsw4SFuJMeKgbG6PiSMsoYlAPlcE7/8/TZGaXMGeqyuiMOpTAZ7MPMW18c+qEuqrjtM1NxdhYm2FmKibYz1HrGDbWqgf40+VPIhKJCOncmLgdJ7Bxc8DazZG4HScwNjWhWkQttdyZ37Zh4WBDnUHtMTYVY++tndvexEq1pPxkubS8kuJ0jRe1JCuPvMR0Uh0V6lSdI4e34pNpawmr6U3dOr5s2HyatLQ8BvVXpXqb/1MUGRmFzP1eE5J085bKe1lSWkFuXgk3b6VgYmJMYIAq9OvP5Yf5adEe5s8eiqenA1mPVhQsLc2wstSfflAkEhHevTHnt8Rg7+6IvbsD57fGYGJmQkhLzebA/T9tx8rRhmZDVXm6z2+JwTXAHTs3B+QyOYmXbnPr6DVav6vJ+HFi5X78GgZj42RHWUEJ5zafoLKsgt5dNe2OGNiQT7+JIqy6G+FhHmzccZW0jEIG9QlX9cPiY2RmFzFnhmoVKepAHJ99E820ie2oU9ODrJxHezXMTNS/+7AB9Rk2bi1/rj5DuxZBHDpxm9PnH7Bm8Zt6+yB11XaCZn1Mcewdiq7exLV/Z8zcncnYuBsAnwlvYeriyJ3pPwKQe+wcATM/wHVAF3Woj9+n71B0LR5plup3T9+wG/ch3fH77F3S1u7CwscDz3f6k7Zml14dxFbm2AZqrilrPzcc6gRQkVtEycNM6n//NpYeTpwYocq5fuv3XVQf14uG898n4c9oXJqGEjSqC8eGfKduI+7nrXQ5tpBanwwiacdJfHo1w6N9PaJbTNCrw2Oi79yhb3AI6cUlpBUX0zckhAq5nJhkzWbv8fXrk1tWzto41WTgjerVuZ2bS1pxMZYmJnQJCMDXzo5lV68AqgnGwyLtFa4KmYyiykoUqYnqssqDW7AY+SnyBwnI793EtEVXjCQuVB5XhaeZ9R6Fkb0TZSvnAiA9fxjzrm9iOXwK5VGRiKzsMO/7riqHv7RSVafbUOT3byHPTEZkboVZm94YewdQvv4Xg30gEonoNrABWyPP4OYlwd1bwtbIM5iZi2neUbMR9ZevonFwtubNR5MBqVRO8n2Vp1gmk5OTVcT9hAzMLUxx99YYlgqFkiPRN2jVNQxjsa6RJL+4C3GXDzHKuIMyNR6j2h0R2Tghv6oKRzJu/iYia0dke1WhZcb1uqMszESZ/RCMxRjVaIlxcFOkj3P0y6Uoc5K0D1JeghJ0yx+Rt2UH7p9+RHnCHcpv3sKuaydMXJzJj9oDgNOo4YidHEifu1Crnl2XDpTdjKcyUbdd8+rBiJ0cqbhzD7GTI47DB4ORiLwNW/Xq8FZDVz6LSiTMzZI6HlZsuppNWmElA8NVDrYFx1LILKpkVnc/jEQigpyf2j9mKcZUbKRVfi21hIyiSqq7WpJZVMmik2kolUpGNTa8dw1g365bdH+jFhmpRaSnFdHjjTAqK2ScOa6ZQL47IYK8nDI2rVZtir58PpnOPWvw4F4edxOycXW3oe+QOlw+n4xSoTL6B42ox+XzyeRklapj/C0sdVc0BF5vBMP/FcPW1paxY8eybt069uzZg5+fH8OGDWPu3Lk6ss2bN2fZsmW0bNkSU1ONB8LX15fhw4ezY8cO1q5dS40aNRgyZAi//vrr39KlS5culJWVsWrVKgoKCvDy8uLTTz/F3V1/bnsnJycmTZpEZGQk+/fvJzAwkMGDB7N48WK1jEKhYNmyZeTm5mJhYUF4eDhvvfXW39LrMV3bBJFfWM6iVRfIyi0hyNeRP2b1wPNRzvas3FJSMzWelg1RscjkCr7+6Thf/6TJX9+7U3Vmf6r7spi/Q/UezZBVyriwYjeVJWU4BnjReuowrZWBkpwCMLBJzBC591I58q0mn/Xl1aqHtWXPhsz+VhVT37VzXfLyS/ntj/1kZhUSHOjOkkXv4OmhCnPIyioi7YkMOAC9B2heGhcbl0zU7kt4ekg4vHcGAOs2nkQqlfPhpEiteuPf68gHYw1vFqvfJwJZpZQjS3ZTUVKGa5Anvb8YqrUyUJRdoJWDX1ZRyZE/91CcU4jYVIzE04mOE/oQ3FyzYlGcU8S+H7dSVlSKha0VbsGeDJj9tvq3Bujavgb5hWUsWnGSrJwSgvyd+OOH/ni6qVZPsnKKSc3QGIwbdlxRjYf5B/h6vmZi3LtLGLM/V22Or1fLi/lf9eSnJSf4+c8TeHva8+PXPfXm8AfI2XcCE3sbvN4bpHqB150H3Bz7JRVpKo+xqbMEM3dN5o6sHYcwtrLAfXB3fCe/jbyohIJz13iwYKVapjIjm9gxX+A3ZTThW36lMjOHtNU7SVmu6xAAcGoQQpcjP6o/N/5xLAC3V+4jZtRcLNwcsXrihWrFiekc6DaNxj+OpcbYnpSm5nB2wq/qHP4AmafjODr4W+p9M5K6X4+g6G4qRwd9U2UOf4AdtxMwNTZmdHg4ViYm3MnL5duTJ7Vy+DtZWGo5K61MTBhTtx72ZmaUyqTczy9g5onj3MnL03MEw0gvHkNkbYt5t6GIbB1QpCZS8ut0lLmZABjZOWLk8MTku6Kckp8+w3zQOKynLkJZXIj04nHKd65Qi4gsrbF4cyIiWwnKshLkD+9S8sPHyBPjq9Sl19BGVFZIWfrDAUqKygkMdefzhQO0VgayMwq1rou87GI+eUtz/e1ae55da88TWtebr34brC6/fj6R7PRC2nbXOBmeRBF/Epm5DeImAx69wCsJ6dbvoEg1JkVWEkS2T7xIzFiMuOVbYO0AskqUOQ+Rbv0Wxf1/lnYZoPhYDJm2NjgOHYixgwOViQ9Imf61OkuPsaMEsYt2RhsjS0usm0eQ9dufetsUmZrgOOJNTNzdUJaVU3LuAmlzFqAw8Jb4LjUcyC+TsfhkGlklUoKcLPi9fyAej8JysoqlpBVW/q3zqpAp+PlEKsn5FViaGtHS347Z3XyxNa/atNq9LRZTM2OGj2mEpbUZ9xKymfflIa0c/g7OViieuC52brwOSuj3Zh0kDpYUFVZw+XwyW9ZosiVJHK14f1ILbGzMKCqs4E5CFl9/spdZv/b8W+f1SiF4/F84IuXzBGYLCLwiKFN+ftkq8GW64bdt/rf4Kuz5QoH+TRbdyX/ZKjDW9eXnqD7dRr+H8b9JfOzLfzvn7i267yT5b7N03+JnC/3LPPh+0LOF/mVCVkQ/W+hf5sHe/zwM7T/Ff/DLT2X59k7dMNb/NpHbhz1b6FWlXP/K5gvBXP87Pf6/I3j8BQQEBAQEBAQEXj0Ej/8LR+hRAQEBAQEBAQEBgdcAweMvICAgICAgICDw6iHk8X/hCIa/gICAgICAgIDAq4cQ6vPCEXpUQEBAQEBAQEBA4DVA8PgLCAgICAgICAi8egge/xeO0KMCAgICAgICAgICrwGCx19AQEBAQEBAQODVQ/D4v3CEHhUQEBAQEBAQEBB4DRA8/gICAgICAgICAq8egsf/hSP0qICAgICAgICAgMBrgEipVCpfthICAs/LzbylL1sFqqenv2wVwMXrZWuAMj72ZavAXq/aL1sFDqYYv2wVeJhu/rJVoGu/RS9bBQqujnrZKjAxwPJlq8Du7OKXrQIbbpm9bBXo6Cd92Sow8ET0y1YB8ai1L1uF/4Aj/2Lbbf7Ftl9dhFAfAQEBAQEBAQGBV45/0zctEv1rTb/SCKE+AgICAgICAgICAq8BgsdfQEBAQEBAQEDglUOJ4l9r+zV1+AsefwEBAQEBAQEBAYHXAcHjLyAgICAgICAg8MqhRMg/86IRPP4CAgICAgICAgICrwGCx19AQEBAQEBAQOCVQ6n892L8X9cgf8HjLyAgICAgICAgIPAaIHj8BQQEBAQEBAQEXjmEGP8Xzyvp8Vcqlfzxxx+MHDmSAQMGkJiYyJdffsnKlStftmp/m8zMTPU5GCI2NpYBAwZQUlLyQo65ceNGpkyZ8kLa+k8ZMGAA586de9lqCAgICAgICPyPoVQq/rW/15VX0uN/5coVjh49ypdffomrqys2NjYvW6V/jJOTE0uWLPmfPodXHaVSyfqlp9i/4yolRRUEhbozZkp7fPydDNZJupfN2iUx3L2VQVZ6IaMmtqHnoAY6cjmZRaxadIxLp+9TUSHDw0fCD2MaEhboqJZZuzueZdtjycorI9DbnmlvN6BBTVe9x91/Oon1e+O5eT+PSqmCQB87xg+qQ4u6HmoZqUzBki032H74Lhm5pfh52jF5eF1a1PM0eD5rt1xk2dqzZOUUE+jnzLQJ7WkQ7q1XNjO7mDm/HCI2Pp0HD3MZ1r8B0yZ20JKRyuQsWXWa7buvk5FdhJ+PI5PHtqZFkwDDOhy+z/I9d8nKLyfQ04apQ8JoEOyoV/ZiQg7zN8VxL62Y8ko5Ho6WDGhdjRGdtNsvLJWycMtNDlxMo7BEipezJZ8MrEmrOvr7F1TjYd9fxzkdfZmy4nJ8qnvQ74MuuPs6G6xzevclzh+4TnpiFgBeQW50G9WGatW1+zw/u5CopYe5ee4u0kopzp6O+A/viZ2vh5acUqnk9vZjJB27iLSkHHt/T8KGd8XG08WgDk+SeuYGl3/fgmvdEBpMGKQuT9h2lNs7jmnJmtlaETLtc73t9K9eg/a+vlibmnI7N5elV6+QXFRk8LitfXwYV1/3OhiyYztShe6DsndwMG/WDCP6zh0ynyh3bVGLsMkDcaofhKWHE4f6fEHSjpNVnrNry9o0mv8+9jV9KUvN5vq8DcT/EaUlU61vC+p9PRKbAHeK7qZx8fNlJG2vul2lUsmFjceIO3iJipJyXAM9afFOFxy8Df8W987c5NLWGArSc1HIFdi5O1CnR1NCWtVWy6x+/yeKsgp06hYMaMLMqb3Vn9dsPM2yyONkZRcRFODKtMndaVDPT+9xM7MKmfNjNDdupvAgKYdhgyOYPqWHQT2j917l46nraNc6lN8WDH9mP/w3rwuHfn2w9tG9Z/UOqElrT3+sTEy4W5DLXzcvkVJSaFCH5h6+vBPWSKd89MHNWmOyrXcAXX1DsDO1ILWkgDW3rgBpevvh2NpjXNp3ifLicjyDPenyfhdcqhkeDzdP3SRmYwy5abkoZAocPBxo2qcptdtqxsODGw84teUUaXfTKM4tZsD0AVRvWl2nrXWXMllxLoOsYimBThZ81s6L+t7Ptg8uJRczYm08gc4WbB0Zqi6XypX8eSaNnTdyyCiS4utgzsetPWnhb/fMNgVeT15Jwz8jIwOJREJISMjLVuU/xsjICHt7+5etxv9rtv11jp3rLvDhjC54+EjYtOIMMz/cyG8bRmNhZaq3TkW5FDdPe5q1C2H5wiN6ZYoLy/ns3bXUqu/DjAVvYCexJD0lH1txpVpmd0wis5Zf4IsxjahX3YUN+xJ495vDRP3SEw9nK502L8RmEFHHg4+G1sXGypSth+4y9rsjbJjbhVB/BwB+WnOFncfu8c3Ypvh72RJzOZXxs4+xbnZntcyT7D4Yx6yfDvLF5E7Uq+3Fhu2XeXfSBqLWvIOHm+7Nv1Iqw8HekvfeiiBy/Xm95/7TH8fZue8G33zWBf9qjsScvc/4z7ay7o9hhIa46epwNoXZa28wY1ht6gU5sOHoA8b8eIZd37XBw9FSR97CTMyb7fwI9rbF0kzMxYQcvoy8hqWZMQNa+6r0lCl4e95pHGxN+WlcA1wlFqTnlmFlXvVt6/CG0xzdcpYhk3vi7OXAgbUx/P7pGqaueB9zSzO9de5cfUC9NjXxC/VCbCrm8MbT/P7ZWj5dOgZ7J1sASovK+HliJEF1qvHu94OwsbciOzWPmyJznfbu7T7J/X2nqT26N9ZujtzeeZyz8/6i9azxiC306/CY0ux8bm7Yj0Owj97vrT2daTxFY+SJjERklurK9QoKpntgIIsuXSStqJh+1UOY0aw5Ew4eoFwmM3x8qZQJB/Zrlekz+gPsJXTw9SOxIF/nO7GVBXnX7nJn5V7abvnK4LHU5+TrRofo70lYupvjw2bh0iyMpos+pDyrgAdbTwDg3CSU1utncOmLFSRti8GnT3PabPiC6BYTyD53y2DbV7af4mrUGdqO64WdhyOXNp9g19erGfzzOEwN/BZm1hbU69cCiacjRmJjHly8zZFFO7Cws8QnPBCAfrNHo1RowhByH2ay6+vVdO5QS122e99VZs2LYubUXtQL92X9lrO8M34F0Vs+xsPdXue4lVIZEokV77/dhpVrYqrss5TUPOYsiKZBXd8q5R7z374uTpdY6LTX1bc6nasF8+eNc6SXFtHTL5Qp9Vvx2ck9lMurGpOVfHZyr1bZk2Oykas3b4aEs+rmJRLys2njFcCkei3Y8zCKUpn2xXFqyynObD9Dr4964ejhyIkNJ1g9YzXjfh+HmYF+sLC2oMWAFjh6O2IsNub2udvsWLgDSztLAuurxkNleSWu/q6Edwhn0/eb9Laz52Yusw8lM6OjD3U9rdh4JZsxm+6wc3RNPGz1P6sAiirkTIu+T+NqtuSUSrW++/lEClGxuXzVuRp+juacvF/IhG13WTO0OjVcde+9/2sIoT4vnr9t+H/55Zf4+PhgamrKoUOHEIvFdOjQgQEDBgCQnZ3N8uXLuX79OkZGRtSpU4dRo0apjd+NGzdy/vx5evTowYYNGyguLqZu3bqMGTMGCwsLFi1axLFjKo/WgAEDcHZ2ZtGiRTp6HD9+nN27d5OamoqZmRlhYWGMGDECOzs7FAoFY8eOpW/fvnTs2FFd5969e3z22Wf88ssvuLq6EhUVxZEjR8jMzMTa2pr69eszdOhQzM1VD/KjR4+ycuVKJk6cSGRkJNnZ2VSvXp2xY8cikUgAUCgUbN26lYMHD1JYWIinpydvvvkm4eHhgCrUZ/z48cydOxdfX18ALl26pG4vODiYVq1aPXf/P9Zp7NixrFmzRq3T+++/j5OTtof7+PHjevsYVF6PnTt3cuDAAfLy8vDw8KBfv340adIEUIUfffXVV8yYMYM1a9aQnJyMr68vY8eOxcND493cv38/u3btIjs7GxcXF/r160fLli316i6TyYiMjOTs2bOUlJRgb29P+/bt6dOnz3Of/9MolUp2bbhI/xFNaNomGIAJX3Thra6/cXx/HJ36hOutFxTqTlCoOwCrFh3XK7P1r7M4udrw4Ywu6jJXDzt80tPVn1fuiKNf+0D6dwgCYNrohsRcSWXd3ngmDaun0+a00Q21Pn88rC6Hzz3kyPlktVG/4+g93utfi1YNVN6ywV1CiLmcyoodccz7qLlOmyvXn6Nfjzr076k612kTOxBz9j7rtl1m0vutdeS93O2Z/pHKw78l6prec9+x7wbvvRVBqwjVQ21wXwkxZ++xYt055n3ZU0c+cv9d+rb0oX+raiodhoRx8kYm6w8n8nH/UB350Gp2hFbTTEo8nSw5cDGNCwm5asN/64kkCkoqWTu9OSZiI7VcVSiVSo5tO0eHwc2p3ULlbRsypSczBizg0uEbRHSvr7fesKnaY3DgR924euImty8n0rCDyqt3aMNp7J1tGTxFc/4ObvYkpRjr6HB//1kCe7TAvUENAOq805uDH/5AypnrVGuj61FX11UouPLHVoJ6tyYvIQlpabmOjJGREeb21tqFegz/boGBbI2P51xqKgC/XrzI0i5dae7lzcHE+4Z1UCrJr6gw+D2AubExHzZswO+XL9EvRNermbL3HCl7nz/Er/p7PShJyuTcR78BUHArCacGwYRNGqA2/GtO6EvqgYtcn70OgOuz1+HWsjY1J/Tj2JvfGTyXa9Fnqd+3Bf5NVL9F2w96sfLt+dw+cYOaHfWPB88wX63Ptbs1Jv7oVdJvPlQb/hZ22hP7S9tPYusmoVF9f3XZitUx9OvdgP59VR7r6VN6EHM6gXWbzjDpw846x/XycODzT1Tja8uOCwb7Sy5XMHn6ej54rwMXL9+nsEh3nDzdD//t6+LyLV0julO1IHbeu8nFzBQA/rxxjp9b96SJuw9Hk+8Z1h8oqDR8jp19gzmecp9jKapxvTb+CrUc3Qi2C+ZKzhWtfji74ywtBragRoRqPPT6uBfzh87nxrEb1O+ivx98a/tqfW7cqzFXD1/lYdxDteEf1CCIoAZBBnUEiDyfQb/ajrxRR/Wsntrem1P3C9lwOYuPWhle0f1q7wO61nDA2EjEodv5Wt/tis3l3aZutAxQ3U8H1XXm5P0CVp7LYE4P/StLAq83/yjG/9ixY5iZmfH9998zdOhQtmzZwrVr11AqlcybN4/i4mK++uorPv/8czIyMli4cKFW/YyMDM6dO8enn37KZ599RlxcHNu3bwdQx/U7OjqyZMkSZs2apVcHmUzGwIEDmTdvHlOmTCEzM5PfflM9NIyMjIiIiCAmRttjEhMTQ3BwMK6uqjABkUjEyJEjmT9/PuPGjePGjRusXr1aq05FRQW7du1i/PjxfPXVV2RnZ/PXX3+pv9+9eze7du1i2LBh/PDDD9SpU4c5c+aQlqa7xAiqidH8+fOpW7cu8+bNo23btqxZs+a5+/6xTtu2bWPcuHF88803lJWV8dNPP2nJVNXHAOvXr+fo0aOMHj2aH3/8kW7duvHLL78QFxen1c769esZPnw4s2fPxtjYmMWLF6u/O3fuHCtWrKB79+7Mnz+fDh068Ntvv3Hjxg29eu/evZsLFy7w0UcfsXDhQj744AOcnQ0vMz8PGakF5OWUEN7YV11mYiomrK43t66n/kdtnztxl8AabsydtoO3uizio+GR7N9+Vf19pVRO7N1cmoW7a9VrFu7B5VtZz3UMhUJJSZkUO2uNt6dSJsfMRPvSNDMTczEu8+nqKh3i02nWSPsG36yRH5evJz+XDvqorJRhZqrtFzAzE3Pxmm6blTIFsYkFNKupvVTerKYzl+/mPdfx4h4UcOVOHg1DNKFBhy+nEx4g4ZvV12k+YS89Pj/CH1EJyBWGPUA56fkU5RYT0kBjfIlNxQTWrsb9uOfvj8oKKQqZAksbjdcy9nQC3sHurPx6CzP6/8gP7/3J6d2XdOqWZeVTUVCMU5gmbMnYRIxjdV/y7lStw+0dxzC1scKnle6k8TElGbkcnDifw5N/4tJvmynN1O1jF0tLJObmXM3MUJfJFAricrIJcdRdNXoSc7GY3zp15vfOXfisaVN87XRXjd4OD+dSejrXs55vnD8L5yahpB64qFWWsu88Tg2CEYlVEyvnpqGkHNA2hlP2X8AloqbBdosy8ynNL8arjmY8GJuI8QitRnr8w+fSTalUknztHvmpObiH6l+FkUvl3D5+jeptwhGJVDkCK6UyYm+m0LyptjHYrEkQl68+eK5jG2LRkkM4SKzo36fhs4V5Na4LZwsr7M0suJGjcZzIlAri87IIsjcclglgbixmfotuLGjZnY/qNsfHxl79nbHICF8bCTdyMrTq3MhJx8lcu938jHyK84rxr/tEP5iIqRZWjYc3n3883Ltyj5zkHHzC9I8HfVTKFcSllxLhZ6tVHuFny5WUYoP1tl3LJim/grHNPfR+XylTYGb81PNCbMSlZMNt/i+hRPGv/b2u/KNQn2rVqtG/f38A3N3d2bt3L9evXwfgwYMH/Prrr2rv8wcffMDHH3/MnTt3CAxUzYyVSiXjxo1Te59btmypNhYtLS2xsLB4ZohM27Zt1f93dXVl5MiRTJs2jfLycszNzWnRogXR0dFkZWXh7OyMQqHg1KlTWt7lbt26qf/v4uLCwIEDWbp0KaNHj1aXy+Vy3nnnHdzcVOENnTt3ZvPmzervd+3aRa9evWjWrBkAQ4cOJTY2lujoaK12HrN//35cXFx46623EIlEeHh4kJSUxI4dO57V7Vo6jRo1iqAg1QNl3LhxfPTRR8/dx+Xl5URFRTFz5kyCg4PVfXjr1i0OHDhAaKjGQzto0CD15169ejF79mwqKysxNTVl165dtG7dmk6dOgHg4eFBQkICu3btIiwsTEfv7Oxs3N3dqV69OiKR6JlGv1QqRSqVVimTn6PaEG3voO19s3OwJCvdcNzo85CRms/erVfoObgBb7zVhNtxaSxdcBif9xrRu00AeUUVyBVKHO21Qz0c7czJzqvaA/eYFTviKK2Q0aVZNXVZ83APVu68SYOarvi42XD6WhqHzz7Ua/Dm5ZcilytxfOr8HR2syM7955vFmzf2Z+X6czQI98bHU8LpC4kcPnFbrw75RZXIFUqcbLU9fI52ZmTfqLofWn+8n9yiSuRyBeN6h6hXDACSs0o5e7OU7k29+OOjJiRmlPDNX9eQyZWM66U/DLAoV/Wws7HX7g9riRV5Gbrx2IaIWnoYOycbgp+Ixc5Jy+PUrou07teY9kOakXQrhW2L9hP6lilezeqo5coLVDqY2Wp75U1trSjLMaxD7u0kHh6/TIuv3zMoYx/gSZ13emPl5khlYQm3dx7n1LfLCJjwEWIrzTnbP1q1LHjKc19QXoGTpeFVk5SiIhZdukhSQSEWJmK6BQTybctWTD58iPRHyQciPL3wt7Pns6P6Q+T+CRZuDpRlaE9gyjPyMDIRY+5kR1l6LhZuDpTrkbFwkxhstzRP9VtYPrVCYmFvTXFWfpU6VZSUs2rMAhRSOSIjES1Gd8W7jv49LvfP36KipJzqbcLVZXl5pcjlChwdtOO3nRxtyMpJqPLYVXHxSiKbt59n+/oJz13nZVwXPgPMcW5cVy1nZ6oak4VPee4LK8txNNcNi3xMWkkhS2PP8bCoAAuxCR2rBfF5o7bMOL2fjNJibExNMTYyoqBCu92CygosxNrhRsWPxoP1U+PB2t6a/Mz8Ks+9vKScBW8tQP5oPHR9vysBdQ3veXqa/FIZciU4WppolTtaicku0f+ce5BbzoJjKax6MwSxkf6k8838bIk8n0EDb2u8JWacSSziyO185EKEzL/Cvn372LlzJ/n5+Xh5eTFixAhq1KhhUD4uLo7IyEiSk5ORSCT07NlTKxIF4MyZM2zYsIGMjAxcXV0ZPHgwjRrp7mt5Ufwjw9/HR3uWK5FIKCgoIDk5GUdHR62QEy8vL6ysrEhJSVEbpc7OzmqDFMDe3p6Cgue/+QDcv3+fTZs2kZiYSHFxMUqlapRnZ2fj5eWFn58fHh4enDx5kt69exMXF0dBQQFNmzZVt3Hjxg22bdtGcnIyZWVlyOVypFKpevIAYGZmpjb6H59rYaHKoCwtLSUvL4/q1bWXukNCQnjwQL9HJyUlhaCgILVXCFAb38+LsbExAQGaG46npydWVlYkJyc/Vx8nJycjlUr55ptvtNqVyWT4+Wl7jqtV0xhij8ObCgsLcXJyIjk5mXbt2mnJV69end27d+vVu3Xr1nz77bdMnDiROnXqUL9+ferUqaNXFmDbtm1akyyAtn28WDxHE3/8+fx+qv88fU9Ugkj/ffK5USqUBNRwY9j7qtAl/xBXku7lsG5vAr3baPpfpOctIM9z7Kjj9/l1/VUWTWuDo73mt5o+uiEzFp2m6/idiABvNxv6tgtg66G7BtvSOZxS+R+9m2T6xA7MmL2broOXIBKBt6eEvt1qszVaf2iQPiWUSv198ySrpzajtFzOlXt5/LgpjmouVnRr4gWAQqnE0daMr0fUwdhIRE1fe7Lyy1m2547a8L946DobF2rG2zvfDtKrC0rlc4+HQxtOcfloLON+GIbJE6seSqUS72APur2tcjp4BbqR/iCbizuOc2NVtFqu4UdDDOtg4Jiysgqu/LGNWiN7YGpj2DB3qa3tPbYP9OLolJ+pD0zuoQm1mHXq1ONDavOMPridl8ftPI1xHZ+Tw9w2bekSEMCKa9dwtLBgZO3afHvypN64//8E5dPKPv7BnijXJ/NkUcLx6xxbotkQ3G3q4EdyOgd75kVqamHGgHljkJZXknz9Pqci92PrKtEJAwK4degyPnUDsXLQ3aT59GGUSqXW/f/vUFxSwZTpG/hmRj8cJIaN5VfhunAzseHzthpH24+XYx4f8ilEVcZx3y3I5W5Brvrz7fxsvmrSgfbeQayJv6zRQ6dV2BO1h1lfaaIGBs/UPx6e5zcxszBjzM9jqCyv5P6V++xfth+Jm0QnDOhZ6I4H/ZelXKFkyq77jGvuga+D7j6ix0xt783MvQ/ovjRW9byQmNG7lhPbr2f/Lb1eVV6l7DunTp1i5cqVjB49mpCQEA4ePMj333/PggULdEKtQRXqPWvWLNq1a8cHH3xAfHw8S5cuxdbWVh1WnZCQwMKFCxk4cCCNGjXi3LlzLFiwgK+//lrt3H3R/CPDXyzWrfb4hqzv4nn6ojI21o6JFYlEujf0KigvL+fbb7+lTp06fPDBB9ja2pKdnc13332H7IlNay1atCAmJobevXsTExNDnTp1sLVVLbNlZWUxa9YsOnTowMCBA7G2tubWrVv8/vvvyOVyg7o+ea5VYegm8nfO8+/yvH38+N+pU6fi4KC97P/0b/tkO4/bVzzxwH/6PKu6gfr7+/Prr79y5coVrl27xoIFC6hVqxaTJk3SK9+nTx+6d++uVXYrdyXBNTWhNVKp6rfKzynBwUnjxSnIK9VZBfi7SJys8fbVzkrj5evA+UM3Vd/bmGFsJCI7v0xLJqegXGcV4Gl2xyTy+a+nWfhJSyLqaIcKOdiZs2haGyoq5eQXVeDiYMH8VZfxcrXWaUdib4mxsUjHu5+TV6qzCvB3cJBYsmjOG1RUyMgvLMPFyZr5vx3Fy8NeR9bexlTVDwXa3uXcwgoc7areyOr1aAN0sLctOQUV/LojXm34O9ubIzYWYfyEp8vf3ZrsggoqZQpMxUbUbBrM5CcyjMgejYeivBLsHDVGWHF+KdZVGEqPObLpNAfXneT9OW/i4a+dOcjWwRpXH+2bu6uPE7IjN7W89IpH96CKgmLM7TU6VBaVYmqn+xsClGTmUZadz4WF69Rlj6/T3aO+ptXs8Vi56IboiM1MsfF25cjxE2S4aEKtxEaqpX97czPyn/CE2plpf34WSuBOfh7uViq9/e3tsTc3Z06bNmoZYyMjajg5QeV+Vpl3RvkPJgRl6blYummfn7mLPQqpjPKcQrWMhR6ZJ1cBfBsG4xo0Rv1Z/ui3KM0rxkqi+S3KCkp0YvSfRmQkws5ddTwnPzfyUrK5vC1Gx/Avyson+fp9Ok0eoFUukVhibGxEdo52FqWc3GKcHPSPg2fxMDmHlNQ83p8YqS5TPFqFC20wjb3bJuHj7fhKXBf7N+2lolm4uszk0Zi0MzPXite3NTWjsLLqPSVPogTuF+bh9mhMFlVWIlcosDfTvufampoR1KIRY37WjAeZVDUeivOKsXliklZSUIKV/bPHg4OHajy4+buRnZxNzKaY5zb87S3FGIvQ8e7nlspwtDLRkS+plBObXsqtjCS+O5AEgEKpOv/acy+yZGAQTarZ4mBpwi99A6mQKcgvk+FibcKPx1LwfMa9V+DvExUVRdu2bdUOzxEjRnD16lX279/PkCFDdOT379+Pk5MTI0aMAFSO8Lt377Jr1y614R8dHU3t2rXV0Sh9+vQhLi6O6OhoJk6c+K+cxwvN6uPl5UV2djbZ2dnq2U9ycjKlpaV4ehreuPJ3SU1NpaioiCFDhqiPc/eurje0efPmrF+/nnv37nH27Fmt0Ju7d++iUCgYPnw4Ro9uSKdPn/5belhaWiKRSLh165ZWeEx8fLza8/40Xl5enD+vnUnl9u3bf+u4crmce/fuqY+RmppKSUnJc/exl5cXJiYmZGdna+n9d/Hy8uLWrVtam5Pj4+Or1MPS0pKIiAgiIiJo0qQJ33//PcXFxVhb6z4ITUxMMDHRviFaVJhqZepRKpVIHK24ci4R/xDVA0kqlXPj8kPeGqd/k/HzUr22JylJuVplqQ/z8HBW6WpqYkzNAAdOXUmjQxPNKtipK2m0bexlsN2o4/eZ/utp5n/cnNYNDMuZmRrj6miJVKZg/+kkOj8RDvQYUxNjaoa4cercfTq00oS/nDp/n7Yt/t5Kkl4dzMS4OtsglcnZf/QWndvpLmmaio2o6WvHqdgsOtTXTGJOxWXRNlw3A5AhlCiplGqMxnqBDkSdSUahUGL0yPhPTC/B2d4M00ebfc0tzbQykiiVSmwcrIm/eA+vQNWxZVI5d649oMfotlTF4Y2nObAmhjGzBuMTohtP61fTm8zkHK2yzOQcLJ3tsXLVGKRKpRIzO2uyY+9hV03VHwqZnJxbiVQf0F7vsa3dnWj57ftaZfFbDiMrr6Tmm52xcNCfmk8ulVGcmoWxu786FOcxeeXl1HZxIfHRSp9YJCLU0YnVsbFV9sPT+NrZk1SoauN6VhYfHzyo9f3Y+vVJLSoip9tX/8joB8g6E4d396ZaZZ4dG5B9IQGlTGW0Zp2Ow7N9feIWbtHIdGhA5inN+ZhamGll6lEqlVjaW5N87R7O/qrfQi6Vkxr3gCZD9f8WBlEqkUvlOsW3Dl/BwtaKavW1vXOmJmJq1vDk5Jk7dGirCX08deYO7Vr/s/uuv68zuzZN1CpbuGg/JaUVTJ/SA7dHWbxehetCbm5KZpl2nHl+RRlhjq4kFeUDqvj8EIkzG29XsZKoBx8be5KLVWNSrlSQWJRHTUdX9aZhgJqOruRXJquNdVD1g7XEmnuX7+EeoBkPD248oP2IvzcelAbGgyFMjY0IdbPkVGIR7YM14WmnEgtpG2SvI29tZsz2UdrjZN3lLM49KGRB7wA87bSzAJmJjXC1MUUqV3IgPp/O1Q2HwP0v8W9m9dEXTqzP7gBVRMS9e/fo3bu3Vnnt2rWJj4/X2/7t27epXbu2Vll4eDhHjhxBJpMhFotJSEjQCjsHqFOnjsHIiRfBCzX8a9WqRbVq1fjll1946623UCgULF26lNDQUK3QlP8UJycnxGIxe/fupUOHDjx8+JAtW7boyLm4uBASEsLixYuRy+U0bKjZCOXm5oZcLmfv3r3Ur1+f+Ph4Dhw48Ld16dmzJxs3bsTNzQ1fX1+OHDlCYmIiH374oV75jh07EhUVRWRkJB06dODevXscPXr0bx3T2NiY5cuXM3LkSPX/g4KCDE42nsbCwoIePXoQGRmJQqGgevXqlJWVER8fj7m5Oa1bt36udnr06MGCBQvw8/OjVq1aXLx4kXPnzjFjxgy98lFRUUgkEnx9fRGJRJw5cwZ7e3ssq4g5fhYikYgeA+uzOfIsHt4S3L0lbI48i5m5mJYdNTfNhV9F4+hsw7CxqsmAVCrn4X3VUqhMJic3q5h7CRlYWJji7q26YfYcVJ/P3lnLppVnaN4uhIS4NPZvv8a372ti70b0CuXThScJC3QkPMSZjfsTSMsuYVAnldE9/69LZOaUMWeiag9I1PH7fPbTSaa93ZA6Ic5k5alWC8xNjbF5NKG5mpBFRk4ZNfwkZOSU8uv6ayiUSkb30b+JccSgRnz69S7CargTHubJxh1XSMsoZFBvVXzt/MVHycwqYs4XmnzgNxNUG+FKyyrJzS/lZkIGJibGBPqpJtJXY1PIyCqmRpALGVnF/LrsBAoljH6ziV4d3uoYwGd/XiLM157wQAkbjz0gLaeMgW18AfhxUxwZ+eXMeUe1aXXNoft4OFrg56aaRF26ncuKvXd5s50m1GxQG19WH7rH92tv8GZ7Px5klLAkOoGh7f11jv8YkUhEqz6NOLjuJM6eDjh7OnBw3UlMzUyo94TxtWbODuycbOj+KDzh0IZT7Ik8xrCpvXFws6fwUUy0mYUpZhaq36VVv8b8NGElB9bGEN4qlKT4VM7svkzo8O46Ovh1bMydXSewcnXAytWRO1EnMDYzwbOJJtXjlSXbMJfYUL1/e4xNxdh4aW+ONrFUeTCfLI9bvx/X8GAsHO2oKCzhzs4TyMoqkNTX3QwcfecOfYNDSC8uIa24mL4hIVTI5cQkazYxjq9fn9yyctbGqYznN6pX53ZuLmnFxViamNAlIABfOzuWXb0CQLlMxsMi7b0zFTIZRZWV5McmqsvEVubYBmocANZ+bjjUCaAit4iSh5nU//5tLD2cODFiDgC3ft9F9XG9aDj/fRL+jMalaShBo7pwbIgmW0/cz1vpcmwhtT4ZRNKOk/j0aoZH+3pEtzAc6y4SiajdrTGXtsZg5+6InbsDl7bGIDYzIaiFZjwc+nk7Vo42NHlT5cm7tDUG5wB37NwckMvkJF26TcKxa7R4p6tW+0qFkltHrhLSujZGT22wBBg5tDmffL6RsFBP6tauxoatZ0lLz2fQG40BmP/zXjIyC5j77UB1nZvxqqQEJaWV5OaVcDM+FROxMYEBrpiZmRAcqD2ZtrVRjZOny5/uh//2deEzoJeOHvse3Ka7Xw0ySotJLy2ih18NKuVyzqQlqWXeDWtEXnkZm+6o9g329g/lTkEOGaXFWIhN6OAThI+NPX/d1Gwg3puYwJhajbhfkMedAlU6T0dzS85naTvVRCIRjXs1JmZTDI4ejjh4OBCzKQYTMxPCWmn6Yfv87dg42tBuhGo8xGyMwT3IHQd3B9VG7gu3uXb4Gl3HasZDZVkluWkaR1F+Rj7p99JJLaxUp+p8q6Ern0UlEuZmSR0PKzZdzSatsJKB4ar77oJjKWQWVTKrux9GIhFBztp7FBwtxZiKjbTKr6WWkFFUSXVXSzKLKll0Mg2lUsmoxobfdfK/xL8Z6qMvnPiNN95QZ6l8ksLCQhQKBXZPJTuws7MjPz9fb/v5+fl65eVyOUVFRUgkEvLz83X2s9rb2xts80XwQg1/kUjElClTWL58OTNnztRK5/kisbW1ZezYsaxbt449e/bg5+fHsGHDmDt3ro5s8+bNWbZsGS1btsTUVDND9vX1Zfjw4ezYsYO1a9dSo0YNhgwZwq+//vq3dOnSpQtlZWWsWrWKgoICvLy8+PTTT3F3d9cr7+TkxKRJk4iMjGT//v0EBgYyePBgrWw5z8LMzIxevXrx888/k5OTo07n+XcYOHAgtra2bN++nYyMDKysrPDz8/tbqTUbNWrEyJEj2bVrFytWrMDFxYWxY8dSs6Z+A9Xc3JwdO3aQlpaGkZERgYGBTJ06Vb3i8k/pM6wRFRUy/ph3kOKicoJruvPlT/21Vgay0ou0QpBys4r5ePgq9efta86zfc15atb15rvFqnjYoFB3PpvTm78WH2fj8lO4utvx9sQ29GiiuaF2be5LfmEFizZcIyuvjCAfe/6Y0RZPF5VBm5VbRmqWxhO7Yd9tZHIlXy85x9dLNOkOe7fxZ/YE1eSgolLBT2uu8DCjCEtzE1rV92TOR82wtdb28Kh1aB9KfkEZi5afJCunmCB/Z/74YQCe7qobTlZOMakZ2sZanxHL1f+PvZVO1P44PNzsOLx17CMd5Py05BgPU/OxtDClVdMA5nzRQ21k6OjQ2JP8kkp+2xlPVkEFQZ42/P5RE3X6zayCCtJyNCFRSqWSHzffJCWrFGNjEd7OVnz8Rg0GPkrlCeDuaMHSSU2ZvS6W3jOO4ioxZ1gHf0Z3rTruse3ApkgrpWz+ZS9lRWVUq+7Je7OHaHlA8zILtMbDyV0XkUvlrPxa24HQaVgLOg9XrWj5hHgw6sv+RC87zP7VJ3Bws6f3+x0oqaPt0QHw79oMeaWMG6t2Iy0pwz7Ai8aTh2nl8C/LKfjbsd7luYVc/n2LKmzIxgpJgBcRM0aTb6zr3dtxOwFTY2NGh4djZWLCnbxcvj15UiuHv5OFpVbMtZWJCWPq1sPezIxSmZT7+QXMPHGcO0/E/T8PTg1C6HLkR/Xnxj+qxtXtlfuIGTUXCzdHrHw0E5rixHQOdJtG4x/HUmNsT0pTczg74Vd1Kk+AzNNxHB38LfW+GUndr0dQdDeVo4O+qTKHP0B47whklVJO/LmbipIyXII86T5jqNbKQHF2AaInQsqkFZWc+HMPxbmFiE3F2Hs40e7DPgQ20763JV+7R3F2AdXb1kUfXTvVIa+glN+WHCIzu4jgQDeW/DICTw/V75WVXUhaer5Wnd6Dflb/P/ZmClF7ruDpbs/h3Z9VeZ7P4r99XST56+7f2p14C1NjY4bXqIel2JR7BTnMu3RMK4e/g7kliicGpaWJKSNDG2BnZk6ZTMqDwny+P3+Ee4UaI/tcxkOsTU3pFRCKvZk5KcUF/Hj5BNXsdRMcRPSLQFohZffi3ZQVl+EZ4snQr4dq5fAvyNIeD5UVlez5bQ+FOarx4OTlRJ9JfajZUjMeUm+nsmqa5pmyf6lqL1pGmCPfd/MFoEsNB/LLZCw+mUZWiZQgJwt+7x+Ix6OwnKxiKWmFmvfEPA8VMgU/n0glOb8CS1MjWvrbMbubL7bPeN+JgP5wYn3e/ifRd8+u6j6uLxz6WXX+k31Az4NI+W8GnQu8cB7n8V+5cuXLVuWlcDNv6ctWgepP5PF/abgYDhH6b6GM/3shI/8Ge710je7/NgdTdPcB/bd5mF71npL/Bl376b5v5b9NwdUX62T6J0wMePkvTdqd/fJTOW7Qk8f/v01Hv6qzwv03GHgi+tlC/zLiUWtftgr/mGKpbjTHi8LapN9zy8pkMoYOHcrHH3+slXFnxYoVJCYm8tVXui8qnDlzJr6+vowcOVJd9njz7l9//YVYLOb999+nW7duWhOQqKgodu/erU5R/6L5z1ytAgICAgICAgICAv+PEYvF+Pv7c+2a9n6Ua9euERKiP710UFCQjvzVq1fx9/dXJ1IJDg5Wp8N/ss2/m+3x7yCsBb1ifP/999y8eVPvd3369NHJwiMgICAgICAg8P+RV+lFW927d+eXX37B39+f4OBgDh48SHZ2Nh06dABg7dq15ObmMn78eEC1p3Pfvn1ERkbSrl07EhISOHz4MBMmaPYlde3alZkzZ7J9+3YaNmzI+fPnuX79Ol9//fW/dh6C4f+K8d5771FZqT/Gz9raGmtr6+fefCsgICAgICAgIPCfExERQVFREVu2bCEvLw9vb2+mTp2qfhlpXl4e2dma9ye4uLgwdepUIiMj2bdvHxKJhJEjR6pTeYLqvU8TJ05k/fr1bNiwATc3NyZOnPiv5fAHwfB/5RA8+gICAgICAgIC/+67j/4JnTp1olOnTnq/GzdunE5ZaGgoc+bMqbLNJk2aaE0G/m2EGH8BAQEBAQEBAQGB1wDB4y8gICAgICAgIPDK8SrF+P9/QTD8BQQEBAQEBAQEXjn+zTf3vq4IoT4CAgICAgICAgICrwGCx19AQEBAQEBAQOCVQ6kUQn1eNILHX0BAQEBAQEBAQOA1QPD4CwgICAgICAgIvHIIMf4vHsHwF/ifooaZ48tWgeP2Ji9bBRra2b9sFbgRFPqyVaBLZd7LVoHWm6NetgpIS17+w3HF1VEvWwXs6ix/2SpQWD7mZatAl5IHL1sF2idce9kqYOIY/LJVYJRPr5etAitetgICrxSC4S8gICAgICAgIPDKIcT4v3iEGH8BAQEBAQEBAQGB1wDB4y8gICAgICAgIPDKIcT4v3gEw19AQEBAQEBAQOCVQ3hz74tHCPUREBAQEBAQEBAQeA0QPP4CAgICAgICAgKvHEqlEOrzohE8/gICAgICAgICAgKvAYLHX0BAQEBAQEBA4JVDiPF/8QgefwEBAQEBAQEBAYHXAMHwfwkMGDCAc+fOvWw1/mM2btzIlClTXrYaAgICAgICAv8PUSqV/9rf64oQ6vMvsnHjRs6fP8+8efNetir/Cj179qRLly4vVYc1G0+zLPI4WdlFBAW4Mm1ydxrU89Mrm5lVyJwfo7lxM4UHSTkMGxzB9Ck9DLYdvfcqH09dR7vWofy2YHiVeiiVSnatPMHxqCuUFpXjV8ODIRM74ennbLDO8ajLnN53ndT72QBUC3ajzzut8avhoZbZveYUl47Hk56Ug6mZmICaXvQb0wac7bXa2rDuFJErjpGdVURAoCtTPutJvfr6+wHgwvm7zJ8bxd07GTi72DJiVCv6D2yq/v7OnXQW/7KfuLgU0lLzmPxpD4YOb1FlHzzuh63LYziy8yolReUEhLoz4uOOePkb7ocjO69wYu8Nku9lAeAX4saAMa0ICPXQkjuw9RK7150lP6cYT18nhk5oT4Ma2v2wdsd1lm24TFZOKYG+Dkwb15wGtbXbecz+43dZv+sGN+9kUymVE+jrwPi3GtGioY9e+ejDt5n07X7aNfNj0TddDZ6POKIH4tb9Edk6oEx/QOWOxSju3zAoj7EJJh3fxLheO0S2EpT52UgPrUN+bh8AItdqmHQejpFXEEYOblRuX4zsxDbD7QGmrXpg1qE/IjtHFKmJlG1ajPxOFTqITTDrNhTTRiodFPnZVOxZi/SUSgeTph2xfEt3kl8wvivIpAabVSqVXNh4jLiDl6goKcc10JMW73TBwdvFYJ17Z25yaWsMBem5KOQK7NwdqNOjKSGtaqtlVr//E0VZBTp16zlb0TFLAoBri1qETR6IU/0gLD2cONTnC5J2nDTcB4Bry9o0mv8+9jV9KUvN5vq8DcT/EaUlU61vC+p9PRKbAHeK7qZx8fNlJG2vul2lUsmfi4+wbfMFigrLqFnLi0+mdycg0LXKeocPxPL7r4dIfpiLl7cD73/YnjbtQtXfb95wji0bzpGWmg+Af4ALb7/Xms5PDfm1u+NZtj2WrLwyAr3tmfZ2AxrU1H/si3GZ/LDqEvdSCiivkOPhbMXATkGM6BmqJbfv1AN+XnuVpPQifNxsmDg0nA5N9F87AOuvZbPychZZJVICHMz5tIUH9T2t9cqeTy5m1La7OuU73gzB38Fcde43cth1K4/bueUAhDpbMKGpO7XcLA3qsPbAHZZFxZOVX06gpy3ThofToLr+e9PFW9n8sP4a91KLKK+Q4eFkxcB2/ozoGqyW2X8umT923CIpoxiZXEE1N2tGdg2hV4tqBnUA1Xh4uPsIGScvIi8tw9rXC/8B3bH0MHxdZJ6+zJ3Vutd9k4UzMDIxUX9OO36O1IMxVBYUY+nujN8bXaB9leoIvGa8doa/TCZDLH7tTvtfwdzcHHNz85d2/N37rjJrXhQzp/aiXrgv67ec5Z3xK4je8jEe7vY68pVSGRKJFe+/3YaVa2KqbDslNY85C6JpUNf3uXTZu+4MBzadY+Rn3XH1ciD6r5MsmLyOb/8ag7mlmd468VeSaNSuJgE1vTAxNWbf+jMsmLyOr1a+i8TZBoCEK0m06V0f3+ruKOQKti09xoIp62gf9QkWlqYA7NtzhXmzdzFtRm/C6/qyeeNZxo1Zxtadk3D3kOieW3Iu499fTt9+jflu9iCuXE7k+2+2I5FY075jLQDKy6R4ejvQoVNtfpiz67n6ACBqzVn2bDjPmOndcPN2YEfkKWZ/tIF5697BwkA/3LycRNP2oQTX8sTEVEzUmjPM+XgDs/8ajcOjfjhz6Carfz7IiEmdCK7lyeEdV5g3eSNtlw/Gw1Uls/vIbWYtiuGLCa2oF+bGhl2xvPvZLqJWDFHLPMmFa6lE1Pfmo7ebYGNtxta9Nxk7PZoNi94gNEjbGEhJL2Tu7ydpUMu9yvM3Dm+FSa/3qNz6C4r7sYibdsPsne8onzsaZX6W3jqmw6cjspFQufFHlNmpiKztwdhY/b3I1AxlTjrSqycw7TWmyuMDmNRvhXn/9ylb9wvyu7GYtuiG1fjvKfrqbZR5+nWwfOdzRDYSSv+ajyIrFSMbezAy1pJRlpVQNHOkdsUqjH6AK9tPcTXqDG3H9cLOw5FLm0+w6+vVDP55HKYW+seDmbUF9fq1QOLpiJHYmAcXb3Nk0Q4s7CzxCQ8EoN/s0SgVGo9d7sNMdn29mpBiC3WZ2MqCvGt3ubNyL223fFWlngDWvm50iP6ehKW7OT5sFi7Nwmi66EPKswp4sPUEAM5NQmm9fgaXvlhB0rYYfPo0p82GL4huMYHsc7cMtr1q+QnWrjrFF9/2waeaE8uXHGX8u5Fs3jUBKyv9/XDtShLTpmxkzPi2tGkbypHDcUydvIGlkaMJq+0NgIurLeMndsTLxwGA6J2XmfzhWgJ+7EqQjz0Au2MSmbX8Al+MaUS96i5s2JfAu98cJuqXnng4W+kc18JczJtdQwjxlWBhJubSzUxmLj6DhZmYgZ1URu/lW1l8/MMJPhxShw5NfDhwJomP5h1nzaxO1AnWNaT3JuQx50Qqn7f2pK67FZtu5PD+rvvseDMEdxtTg/22a2h1rE01gQkSC82z+3xKMV2C7ZnqboWpsYgVlzIZs+Mu296sjqu1iU5bu08/ZNaqK3wxqh71gp3YcOge7845QdS8zng46U4WLMyNebNjICE+dqp+iM9m5rKLqn5o5w+AnbUp7/Wugb+HDSZiI45eSmPaH+dxsDWjRR03g+eVciCGtMOnCRzWB3MXR5L3HiP210jqffEhxub6xwOAsbkZdb/4UKvsSaM/++J1EjfvwX9gd2wCfMiIOU/cotWk9hyGh4d+B8irjhDj/+L5n7eAv/zyS7y9VTfBEydOYGRkRMeOHRk4cCAikYhx48bRtm1b0tPTOXfuHA0bNmT8+PGcOXOGjRs3kp6ejkQioXPnzvToofH+Hj9+nN27d5OamoqZmRlhYWGMGDECOzs7AGJjY/nqq6+YMWMGa9asITk5GV9fX8aOHYuHhwdHjx5l8+bNgCq0B2Ds2LG0bt0agKKiIubNm8fVq1dxcHBg+PDhNGjQQH38uLg4/vrrLx48eIC1tTWtWrVi0KBBGD8yCBQKBTt37uTQoUPk5ORgZ2dHhw4d6Nu3L1999RVeXl68/fbb6vaKiooYM2YM06ZNIyws7D8+P9Bd0Vi0aBElJSVUr16dqKgoZDIZERERjBgxQj3Z2rdvH9HR0eTk5GBpaUn16tWZNGnSP/rtV6yOoV/vBvTv2wiA6VN6EHM6gXWbzjDpw8468l4eDnz+SU8Atuy4YLBduVzB5Onr+eC9Dly8fJ/CovIq9VAqlRzafI6uQ5tRr2V1AEZO7cGkPj9x9mAsrXrW01vvnc97aX0ePrkrF4/d4ualRCI6qQzwifMGacmM/KwbH/f+ibi4ZOo3UD18/oo8QZ9+Den7RmMAPpnak9OnEti04QwffqS7IrNpwxnc3SV8MlXVF/4BrsTFJrNq5TG14R9Wy5uwWqrr6qcFe6o8/yf7Ye+m8/QaHkHDViEAjJnejXE9f+HU/jja9a6rt97YmT21Po/+tAvnjsYTeyGRFl1U+uxZf47W3evQpkcdAIZNaM/1c/dZt/MGk95RrVSs3HSFfl1q0L+byjM5bXwLYi481JJ5kmnjtVcwPh7dlMMn73PkdKKW4S+XK5jy/UE+GNGIC9fTKCquMNgH4pb9kJ3bi/zsXgCkO37HOKQB4ogeSHcv15E3CmmAcUBtyr57C8qKVP2Yl6Elo3iYgOJhguq7bqMMHvsxpu37UXlyL9KTqt+tfNNixKENMG3Vg4rtujqIQxsgDqpN0efDUZaqdJDnZOjIoVSiLMx75vE14kquRZ+lft8W+DepAUDbD3qx8u353D5xg5od6+ut5xnmq/W5drfGxB+9SvrNh2rD38JO22C9tP0ktm4SfG5rjKaUvedI2fv8IZXV3+tBSVIm5z76DYCCW0k4NQgmbNIAteFfc0JfUg9c5PrsdQBcn70Ot5a1qTmhH8fe/M5gP6xbfZqR77SkbfuaAHz5XT86tZ7Dvuhr9B3QUG+9datP06hJACNHtwJgpH8rLl1IZN3q03w3V3VttmxdXavO2A87sGXDea7GZ6kN/5U74ujXPpD+HYIAmDa6ITFXUlm3N55Jw3TvTaH+DoT6O6g/e7lac+BMEhfjMtWG/6pdN4kId2fMG6rrc8wbtTgfm0nkrlv8OEnX8F91JZu+oQ70q+kIwKctPTmZVMSG6zlMjDA8mXawFGNrZqz3uzmdtL3qX7b15sCdAs4+LKJnDQcd+ZW7E+jX2o/+bVT3zWnDw4m5ls66g3eZNKiWbj/4Sgj11ThOvJytOHA+hYvxWWrDv3Gotod+eJcgtp9I5FJ8tkHDX6lUknbkNJ6dWuIYrrpXBQ3ry/mpc8k6fw23FvrHAwAiEaZ2uk6Mx6QeOoVL03q4NlNdW35vdCU/7g7r1q37x8/Zl43i9Y3I+df4fxHjf+zYMYyNjfn+++8ZOXIk0dHRHDp0SP39zp078fb2Zs6cObzxxhvcu3ePBQsWEBERwQ8//ED//v3ZsGEDR48eVdeRyWQMHDiQefPmMWXKFDIzM/ntt990jr1+/XqGDx/O7NmzMTY2ZvHixQBERETQvXt3vL29WbJkCUuWLCEiIkJdb/PmzTRt2pQffviBunXr8vPPP1NcXAxAbm4us2bNIiAggHnz5jF69GgOHz7Mli1b1PXXrl3Ljh076NevHz/++CMTJkxQG+3t2rUjJiYGqVTjjTtx4gQSiYSaNWu+kPMzRGxsLBkZGcycOZNx48Zx7Ngxdb/evXuXFStWMGDAABYuXMi0adOoUaNGle0ZolIqI/ZmCs2bBmmVN2sSxOWrD/5Rm49ZtOQQDhIr+vep4gb8BNlp+RTkllCzoSa0xsRUTHC4D3djU577uJUVUuQyBVY2hldRyh4ZnXZ2Kg+VtFLGzbgUmkYEa8k1iQji6pVEvW1cu/qAJhHa/RbRLIS42GSkUvlz6/s0WakFFOSUUKuRr7rMxFRM9XBvbt94/n6oeNQP1rYq761MKud+QjphDX215MIa+nI5Nh2ASqmc2IQsmjXQDjVo1sBbLfMsFAolJWVS7Gy0PW6L/jqPg505b3QNNVDzEcZijLyCUMRf0iqWx1/EyFd/XeOaTVE8TMCkbX/Mv1iL+WfLMenxDogNe0GfpYOxTzCymxe1imU3LyL2r6m3irhOU+QPEjDtOACb2euw/moF5v3eBZOndDCzwOa71djMWovl2G8w8g6oUpWizHxK84vxquOvUc9EjEdoNdLjHz7X6SiVSpKv3SM/NQf3UP1hJHKpnNvHr1G9TTgiRM/Vrj6cm4SSekC731L2ncepQTAiscr4dG4aSsoBbadByv4LuETo71uAlOQ8crKLaRIRqC4zNRVTr74v164mGax3/epDrToATSOCuHZFfx25XMH+PdcoK6sk/FH4SqVUTuzdXJqFaxvXzcI9uHxL/+rP08Tdy+XyrSwahmlCg67EZ+m02byuO1f0tCmVK4jLLCXCR9tgjfCx4UpaSZXHHrA+gTbLYhm97S7nkourlC2XKZAplNiZ6/ozK2UKYu/n0ay2tjHerJYrlxOyq2z3MXGJeVxOyKZhDf2hQUqlktM3MrifVkQDAzIAFTl5SAuLsa+h+W2NTMTYBvpSdL/q60JeUcmFz+dzYfoP3Fy8muKHaervFDIZxQ/TsK+hfV3a1wjk8uXLz3OKAq8J//MefwBHR0feeustRCIRHh4eJCUlER0dTfv2qsC2sLAwevbUeBV//vlnatWqxRtvvAGAh4cHycnJ7Ny5U+2Rb9u2rVre1dWVkSNHMm3aNMrLy7XCWwYNGkRoqOqh3qtXL2bPnk1lZSWmpqaYm5tjZGSEvb29js6tWrWiefPmAAwePJi9e/dy584dwsPD2bdvH46Ojrz99tuIRCI8PT3Jy8tjzZo1vPHGG1RUVLBnzx5GjRql1tfNzY3q1VXen8aNG7N8+XLOnz+vnmwcPXqU1q1bIxKJXtj56cPa2pq3334bIyMjPD09qVu3Ljdu3KB9+/ZkZ2djZmZG/fr1sbCwwNnZGT8/w3HoUqlUa/IC8HhBNi+vFLlcgaOD9sPEydGGrJwEg20+i4tXEtm8/Tzb10947joFuaqHl61E2wtpK7EiJ0M3DtkQW5Ycwd7JhlADsflKpZKNvx0isJYXgUGqB1hefglyuQIHR+1YWUdHG7Kzi/S2k51dRISjdr85OFojkynIzy/B2dn2uXV+kvxc1YPZzkG7H+wkVmRnFD53OxsWH0PibE3NBr4AFBWUopArddt1sCIhtxSAvIJy5AoljhILLRlHiQXZj2SexYqNlyktl9KlteaBfOlGGlt232T7nwOfWV9kZYvI2BhlsbZXXFmch8hGN+QKwMjRDSO/MJBVUrniK7CyxbTfB4gsbajc8ONz6a2lg7WdSoenPPPKwjxEtgZ0cHLHODAMpbSS0t+/RGRth8VglQ5lf80HQJH+kLLIechT7iOysMSsbR+spyyk+Nv3UGTqn9SV5qnGg6W99ti0sLemOCu/yvOoKCln1ZgFKKRyREYiWozuincd/RON++dvUVFSTvU24fD17SrbrQoLNwfKMrT7rTwjDyMTMeZOdpSl52Lh5kC5HhkLN/19C5CTo+qHp69RB0dr0tPyDdfLLsbBUXvMOzhakZOtbQDfSUhn1NA/qayUYWFpyryFQwj0VH2XV1Shui7stZ0JjnbmZOdVvZLZ6u0t5D66rsYPrK1eMQDIzi/H0e6pa83Ogqy8Mp128srkyJXgaKltbjhaiMkplek9tpOVmJltvAh1saBSriQqPo/R2+6yvG8ADQzsC1hwKg0XaxOaeOt+r+4HO+1JvaOdOdkFz+iH8VHkFlYglysY36+mesXgMUWlUlqN20WlTIGRkYiZI+vRrJbhvRuVharfz9RG+7c1tbWiIjffYD0LNyeChvXB0sMVeXk5qUfOcGP+UupMG4uFiyOy4lJQKDCx1T5/ExsrshJ190v8ryBX/vPJvIB+/l8Y/kFBQWqDFiA4OJioqCgUClVsWECA9gMjJSVFK6wGICQkhOjoaBQKBUZGRty/f59NmzaRmJhIcXGxegd4dnY2Xl5e6nrVqmmWGyUS1c2/sLAQJyenKnV+st7jWPmCggK1fsHBwVrnFBISQnl5Obm5ueTn5yOVSqlVS3d5EsDExIQWLVpw5MgRIiIiSExM5MGDB1oZeP6t8/Py8sLIyEirTlKSykNVu3ZtnJ2dGT9+POHh4YSHh9OoUSPMzPTHNG7btk0dLvWYjSsHa30WPXVPUCqVWv32dyguqWDK9A18M6MfDhLd2NfHnDlwg9XzNeEvH8weYEAZntsDuXfdac4dimPKwqGYmOm/LNf+tI/ku5l88sswne+ePudn9YNuvz0q/xse05P7Y1k+b6/68+S5/R+3rt32c7cIUWvOcPpgHNN/GYLpU/2gcz5K3fN4Hhm9xz2UwK+rzrPom644SlTTy+LSSqZ8f4BvJrVB8pSRUyU62SKqUEBkBCipWDMbylUTFOnOPzAdPgO2/Aqyyuc/blU6iEQY/CVERqBUUrp8llqHsk1/YPnuDMrW/wLSSuT3byK/f1NdpfRuLNbTFmPauhflG1UrhQnHr3NsiWYjbLepj67Vp09f+ewfxdTCjAHzxiAtryT5+n1ORe7H1lWiEwYEcOvQZXzqBmLlYDgE4nnRyfTxWM8nyvXJPFm0J+oqs77eqf68YNHQR2JPXxfKKoeG3jpK3bJqfk6s2TyWoqJyDh+I5cvPtxD4dTsCve017eg50LOuizXfd6SkTMbVhGzm/3UJH3cburfUOCV06yuf61rTSBvGT2KOn0QzWQl3tyK9SErk5Sy9hv/yi5nsSchned8AzMSGAxn09sMzfoQ1X7ShpFzG1Ts5zF9/HR83a7pHaFafrMzFbJvVkdJyGadjM5i9+ipeLlbqMKCsc1e5u06zT6rG2DcfHVj3t61qQNj4eWPj56357O/D1dm/k3b0DP4Duj1xPrr802eiwP9P/l8Y/s/iacNSn1H05M28vLycb7/9ljp16vDBBx9ga2tLdnY23333HTKZtofC+MlNeI/afDzhqIon6z2u+1iHZ6WZMuRtf5J27doxZcoUcnJyOHz4MGFhYTg7O//r51fVeVlYWDBnzhxiY2O5du0aGzduZNOmTcyaNQsrK11Du0+fPnTv3v2pUlWWEYnEEmNjI7JztL3aObnFODno9wg9i4fJOaSk5vH+xEh1meJRgGFog2ns3TYJH29HwpsF4f9E5p3H4TGFucXYP+HVK8wvwdbB8ARCfUbrz7B79Sk+nj8ErwD9WR3W/rSPqydvM+XnYTi4aDzyEnsrjI2NyHnKu5+bW4yjo/5+cHLSXQ3Iyy1GLDbCzt5wRoynqdc8kIBQTcy5rFI1dgpyi5E4PdEPeSU63np9RK89y86/TvPZwkH4BGr6wcbOEiNjEfk52p7OgrwStZEusTPH2Eik493PyS9Tyxhi95HbfP7DERbO7EREfc2D9WFqASnpRbw/PVpdpng0lmu2/409kW/i42mn/k5ZUohSLkdkox1fLLK2R1mkPzZeWZiLsiBbbXADKDKSEBkZIbJ3QpmdWqXuOu0VF6h0sHtKBxt7lIX5+usU5KDIf0qHdJUORhJn/R59pRL5g3iMXDzVRb4Ng3EN0mw+lj+6l5TmFWMl0RjlZQUlOjH6TyMyEmHnrjoHJz838lKyubwtRsfwL8rKJ/n6fTpNHlBle89DWXoulm7a/WbuYo9CKqM8p1AtY6FH5slVgJZtqhNWW+M8qXx0XeRkF+HkrOmHvJwSg9cogKOTtY53Py+3RGcVwMREjLePKnY+tKYncTdSWLXrFl+PbYLExkx1XeRre+JzCsp1VgGexuvRhvgQXwk5+WX8uv6a2vB3sjfX26aTve4EWWJhjLEIHe9+bplMZxWgKmq7WRIVr3sdrbyUydILGfzZO4AQJ/0TdHU/POXdzyko11kFeBovF1V/h/jYkVNQzq9bYrUMfyMjEdXcVL9jDV977qUUsWTHLbXh71C7Ota+mvGglKmeF5WFxVrx+tKiEh1vfVWIjIywruZJeVYOAGJrSzAyUq8oPNmu6zMcka8yQoz/i+f/RYz/7du3dT67ublpeZ6fxMvLi1u3tDMwJCQk4OHhgZGREampqRQVFTFkyBBq1KiBp6en2hv/dxCLxc81CdCnX0JCgtYEID4+HgsLCxwcHHBzc8PU1JTr168bbMPHx4eAgAAOHTrEyZMnadOmjfq7F3V+/wRjY2Nq167N0KFDmTdvHllZWdy4oT/NoImJCZaWllp/jzE1EVOzhicnz9zRqnPqzB3q1qk6lZoh/H2d2bVpItvXf6j+a9uqBo0b+rN9/Ye4uamMPHNLM1y8HNR/Hr5O2DlYEXfhvrotmVROwpUkAmp6GjocoDL6o/86yYS5g/CtrrvJTalUsnbhPi6fiGfSgjdxfipbkYmpmBqhnpw+pX0NnD11mzrhvnqPWbtONc4+JX/6VAKhNb0wMdG/kU4fFpZmuHlJ1H+efk7YOVpx43yiWkYmlXPrykOCwqruh6i1Z9keeYpPfhiA/1P9IDYxxi/YTatdgBsXEqlbUxXyZGpiTM1gZ05d1I6RPXXxoVpG73EPJTB1ziF+mN6B1k18tb7z95Gwc9kgtv05UP3XNsKPxuGebPtzIG4uTz2k5TIUybcxCtbeMGkcXA9FYpze48sTYxHZOoKpxggzcvZCqZCjzH++2OOndZAnJSCuoa2DuEY9ZPdi9VaR3Y3FyN4RzJ7QwdUTpUKOwkAWIAAjrwCUBbnqz6YWZti5O6j/JF7OWNpbk3ztnkY9qZzUuAe4hXjra9IwSiVyPftPbh2+goWtFdXqB+mp9PfIOhOHR3vtDceeHRuQfSFBbaxlnY7D82mZDg3IPKXpWysrM7x9HNV//gEuODpZc/a0JtxCKpVx6WIitesYTn9Zq443Z09r39/OnLpD7XDDdUDlSa981FemJsbUDHDg1JU0LZlTV9KoayCNpd42lZo2AcJDnHXaPHklTb234ElMjI0IdbHk9ENtZ8PppCLC3Z/tEHjMrawynK20s/WsuJTJH+czWNzLn5quhif4pmIjavpJOHVde9P6qRsZ1A1+fqNY1Q9VP9OVKKmUaWSMzc2wcHHU/Lk7Y2JrTcEtzW+rkMkovJOo5dF/ti5KSpLTMLVVTR6MxGKsvd3Jv6Ud1pN/6y516+pPrCDwevL/wuOfk5NDZGQkHTp04N69e+zZs4fhww3nXe/evTtTp05l8+bNREREkJCQwN69exk9ejQATk5OiMVi9u7dS4cOHXj48KHWxtrnxcXFhczMTBITE3FwcMDCwgITE900Y0/TqVMndu/ezfLly+ncuTOpqals3LiRbt26YWRkhKmpKb169WL16tWIxWJCQkIoLCwkOTlZK3a/bdu2LF++HDMzMxo1aqQuf1Hn93e5ePEiGRkZhIaGYmVlxeXLl1EoFP84zdjIoc355PONhIV6Urd2NTZsPUtaej6DHmW3mf/zXjIyC5j7rSY++2a8yoNaUlpJbl4JN+NTMREbExjgipmZCcGB2kai7aONtk+XP4lIJKLdG43YvfoULl4OuHpK2L3mFKbmJjRur9n0t+z7nUicbOj7rmoStnfdaXYsP87oz3vh5GZHwSOPtpmFKeaPUnWuXbiPswdjGffdG5hbmKplym2sMDdXjaVhb7Vg+mcbqBnmRe06PmzZdJa0tHzeGNgEgJ8X7CEzs4BvZ6kyBPUf2IT1607yw5xd9H2jEdeuJrFty3lmzxui1lVaKePu3UwAZFIZmZkF3LqZiqWlKT7V9D8oRSIRnfs3ZOdfp3H1kuDm7cDOVacxNTMhoqNmc+vv3+xC4mzDwPdaA6rwns1LTzB2Zg+c3O3Unn3zJ/qhy6BGLP5mF/7V3QgM8+TIzivkZBQyqIemf0f0D+fTWQcJC3EmPNSNjVFxpGUUqWXm/3mazOwS5kxV7f2JOpTAZ7MPMW18c+qEupL1aK+GuakYG2szzEzFBPs5ap2jjbXKO/h0+WNkx7dgOvgTFMkJKBLjEDfphkjiguy0KgTGpOsoRHaOVK5TZcKSXzqMssObmA6ajHTfKkRWdpj0eEeVw/9xmI+xGJHrI2PP2ASRnRMiD3+oKEeZo7siUHlwCxYjP0X+IAH5vZuYtuiKkcSFyuMqHcx6j8LI3omylXNVv/X5w5h3fRPL4VMoj4pEZGWHed93VTn8pSodzLoNRX7/FvLMZETmVpi16Y2xdwDl63/R2w+Px0Ptbo25tDUGO3dH7NwduLQ1BrGZCUEtwtRyh37ejpWjDU3ebAfApa0xOAe4Y+fmgFwmJ+nSbRKOXaPFO9rvTlAqlNw6cpWQ1rUxMtZ18oitzLEN1Ew4rf3ccKgTQEVuESUPM6n//dtYejhxYsQcAG79vovq43rRcP77JPwZjUvTUIJGdeHYEE22nrift9Ll2EJqfTKIpB0n8enVDI/29YhuYXhPkEgkYvDQpqxYehzvaqrJwMo/j2FubkKnbpp3E8ycthlnF1V6ToBBQ5syZsQyIpcdp1WbGhw7cpNzZ++yNHK0us6inw4Q0TwIVzc7Sksq2L/3OpfO3+f9LzTPgRG9Qvl04UnCAh0JD3Fm4/4E0rJLGPQoQ8/8vy6RmVPGnInNAFizOx53J0v8vVSOjos3M1m+I46h3ULUbQ7rUZ1h0/bz59YbtGvkzaFzDzl9NY01szrp7YPh4U5MPfCQmi4W1HGzYlNsDmnFUgaEqa6jhafSyCyW8n1H1Tj/60oWHjamBDqaI30U43/gbgELumicOssvZvLrmXTmdPLB08aU7BLVfjBLEyMsTXUdGCO6BvPpb2cJ85cQHuTIxsP3SMsuZdCjDD3z118nM7eMOWNVz8o1++/g7miJv4fKsL4Yn83y6HiGdtJMMv/YcZMwfwd8XKyQyhQcu5LOjhMPmDlKfyY3UI0H9zZNSd53AnNnR8xdHEnZdxwjUxOcG2rGw+3ILZja21KtVwcAHkYfwdrPCwsXR+RlFaQdPUNpcjr+AzWr4h7tIrgduRVrH09s/L3JiLlARW4BgwYN0tHjfwWFEOP/wvl/Yfi3bNmSyspKpk6dipGREV26dFFv7NWHv78/H330ERs3bmTLli1IJBIGDBig3ihra2vL2LFjWbduHXv27MHPz49hw4Yxd+7cv6VX48aNOXv2LF999RUlJSVa6TyrwsHBgalTp/LXX38xZcoUrK2tadu2Lf369VPL9OvXD2NjYzZu3Ehubi4SiYQOHTpotdO8eXMiIyNp1qyZVnjQizq/v4uVlRXnzp1j06ZNSKVS3N3dmTBhgjod69+la6c65BWU8tuSQ2RmFxEc6MaSX0bg+Sh3fVZ2IWnp+Vp1eg/6Wf3/2JspRO25gqe7PYd3f/aPzwug8+AmSCukrF2wl5KicvxDPfho3iCtHP65GYVaIWZHt19CJpXz+8ytWm31eKs5PUe2VMnsUGWI+WHiGi2Zr74dQK8+qn0qnbqEk59fyh+LD5KdVUhgkBu//j4Kj8f9kFVI2hObCD29HPh18Sh+mLOLDetO4exiy6fTeqpTeYLqZWeD3lio/rxqxXFWrThO/Yb+LFv5nsF+6P5mYyorpKz8cT+lReUEhHrw6YKBWjn8szMKERlp+uHgNlU//Pz5dq22+oxsRr+3VSk3m7SrQVFBGdtWniQ/pwQvPyemzOuPp5sm7KlrmyDyC8tZtOoCWbklBPk68sesHmqZrNxSUjM1XscNUbHI5Aq+/uk4X/90XF3eu1N1Zn/azuA5VoX8yjGklraYdHhT9QKvtAdULP0cZZ5qEiWydUBk/0Q4V2U5FX98hmmfcZhP/BVlaZGqjT0r1SIiW0csJv2u/mzUpj8mbfojv3OVisW6L9WSXjyGyNoW825DEdk6oEhNpOTX6ShzVToY2Tli5PCEDhXllPz0GeaDxmE9dRHK4kKkF49TvnOFRgdLayzenKh6wVhZCfKHdyn54WPkifFV9kd47whklVJO/LmbipIyXII86T5jqFYO/+LsAq3xIK2o5MSfeyjOLURsKsbew4l2H/YhsJl25pzka/cozi6gelv93kynBiF0OaLZIN34x7EA3F65j5hRc7Fwc8TKR9MPxYnpHOg2jcY/jqXG2J6UpuZwdsKv6lSeAJmn4zg6+FvqfTOSul+PoOhuKkcHfVNlDn+A4aNaUFEhY863uygqLKdmLS9++eMtrRz+6WkFiESaCUydcB++m9ufxb8c4vdfD+PlLeH7eQPUOfwBcnOKmTltC9lZRVjbmBMY5MrPi4fTzFXjce7a3Jf8wgoWbbhGVl4ZQT72/DGjLZ6PVqyycstIzdJk11EolCxYfZnkjGKMjY3wcbNh0rC66lSeAPWquzB/cgt+WnOFn9dexdvNmh8nt9Sbwx+gc7CE/HI5v5/LIKtERqCjOb/18MPDVvVcyiqRklas2c8ilSuZfzKVzGIpZmIjAh3MWdTDj5a+mut9w/VspAolH+/RzuL2fiNXxjbWddR0bepNfnEFi7bGkZVfTpCXLX980gLPR+8yyMovIzXniXA3pZIFG66TnFWCsZEIH1drJg2qrU7lCVBWIefr5ZdIzy3F3NQYPw9b5o5tTNemVT/TPDs0RyGVcm9DFLLScmx8PQkdP1wrh39FXoHWPgBZWTl31+5EWlSMsbk51t5uhH00Cpsnwoic6tdCWlJG8p6jVBYWYenuQo2xQ/H0rHrFVeD1QqT8H39v8Zdffomvry8jRox42aq8cmRnZzNu3DhmzZqFv7//syv8L1Ba9RtL/xscL3j+DDX/Fg2fenPvy+BGXu6zhf5lGlTqz1z036Tsx6hnC/3LSEte/m18xbgRL1sF7Orovqfgv02/8me/ZO3fxubuP89s9qKQHrr2slXApGnws4X+ZUbl6U/C8d9kRftnZyV7Vbld8Oe/1naQ3Tv/WtuvMv8vPP4C2shkMvLz81mzZg3BwcH/f4x+AQEBAQEBgdcGIdTnxfP/YnOvgDbx8fGMHTuWe/fu8c47r+eMVkBAQEBAQEBAQJv/eY//l19++bJVeOWoWbMmGzdufNlqCAgICAgICAj8Y4R0ni8eweMvICAgICAgICAg8BrwP+/xFxAQEBAQEBAQ+P+HXIjxf+EIHn8BAQEBAQEBAQGB1wDB4y8gICAgICAgIPDKUfV7kgX+CYLHX0BAQEBAQEBAQOA1QPD4CwgICAgICAgIvHIIefxfPILhLyAgICAgICAg8MohpPN88QihPgICAgICAgICAgKvASKlUinMpwT+Z6iY2+dlq4Dp4FYvWwVQyF62BlR61XjZKmCam/ayVSDP1vxlq0ByScXLVoHa5g4vWwUKxdKXrQJbzP942SpwcNf7L1sFqjlXvmwV+M4s/mWrALZWL1sDRH6fvGwV/jHns1b8a203dB75r7X9KiN4/AUEBAQEBAQEBAReA4QYfwEBAQEBAQEBgVcOIcb/xSN4/AUEBAQEBAQEBAReAwSPv4CAgICAgICAwCuHkM7zxSN4/AUEBAQEBAQEBAReAwSPv4CAgICAgICAwCuHXIjxf+EIHn8BAQEBAQEBAQGB1wDB4y8gICAgICAgIPDKIcT4v3gEw19AQEBAQEBAQOCVQ0jn+eIRQn3+IYsWLWLu3Ln/6jE2btzIlClT/tVjvCgGDBjAuXPnXrYaAgICAgICAgICBhA8/q8wPXv2pEuXLn+rzrhx4+jatSvdunX7l7TSz5IlS7CyUr2aPDMzk/HjxzN37lx8fX3/1eMahXdG3Kg3WEtQZj9EdngZyuSbemVF3jUxHfytTnnl0vEoc1NU7YW1waTrhzoyFfMHgFyqt921O26wbNMVsnJKCfSVMG1sMxrU8tAru//EPdbviuXm3WwqpXICqzkwfngDWjT0Ucts3XeLafOO6NS9uvsdzEz1X7Jrd8axbNNVsnLLCKwmYdr7TWhQy12/DjH3Wb/rJjfv5TzSQcL4YfVo0cBbS66wuIKFKy5w4OR9Cooq8XKz4dMxjWnVyEdvu+vXnWTl8iNkZxUSEOjGJ5/1pn4Df72yABfO32HenJ3cvZOOs4stI0e1ZcCgCPX3mzedZteOC9y5kw5AaKgXH07sSq3a1Qy2uXbrZZatO09WTjGBvk5Mm9CWBnW89PfDsQTWb7vCzTuZVFbKCfRzZPyoZrRo7Kclt+9oPD8vPUlSSj4+nvZMfKc5HVoFG9QBQKlUsmzxcXZsuURhYTk1a3kyeVpn/ANdqqx35MBNliw6SsrDPDy9JYz5oA2t21XXksnMKOS3hYc4HXOXigopPtUcefuzTgRUd9PRYdOykxzccZXiwgqCarozenIHvP2dDB7/4b1sNvwZw71b6WSlFzJiQlu6DWqgJTO2z+9kpRfq1B0yoAkzp/ZWf16z8TTLIo+TlV1EUIAr0yZ3p0E9P516AJlZhcz5MZobN1N4kJTDsMERTJ/Sw6Ce0Xuv8vHUdbRrHcpvC4YblHvcD38uPsK2zRcoKiyjZi0vPpnenYBA1yrrHT4Qy++/HiL5YS5e3g68/2F72rQLVX+/ecM5tmw4R1pqPgD+AS68/V5rrTZcW9QibPJAnOoHYenhxKE+X5C042SVx3VtWZtG89/HvqYvZanZXJ+3gfg/orRkqvVtQb2vR2IT4E7R3TQufr6MpO1VtwvQNyiUtj5+WJmYcic/l5U3LpNSrPtbPqalVzXG1GmoUz5iz1akCgUAPQNCaODmiYe1DZVyObfzclh/6zqQq1NPqVRyc9sx7h+5SGVJOQ4BntR9qyu2XlVfF495ePoG537bgnu9ECI+GqQuv3vwPPcOX6A0Kx8AWy8XavRuCY2066/dd5tlO2+RlV9GoJcd00bUpUEN/ce+eCuLH9Zc5V5KIeUVcjycLRnYPpAR3UPUMhsP3mXH8fvcflgAQE1/Bz4aXJvagY4Gz2HtrjiWbb7+6F5tz7T3mtAgzE2v7P6YRNZH3+TmvVzVvdrHnvFD69GigeaeNmxKNOevp+vUbdXQiz++6WRQj/8VhM29Lx7B8H9JKJVKFAoFxsbGBmXMzc0xNzf/L2r1z7G3t/+vH9OoejPE7UYhO7AEZfItjMI7YvLGDCqXfQhF2QbrVf45DmVlqaagVPvBp6wooXLpeO1KBoz+3UfuMGvxSb74sAX1arqzITqWd6dGE7VsEB6uNjryF66nElHfi49GNcbG2pSt+24xdsYeNvzSl9AgZ7WctaUpe1YO1qpryOjfffQus34/zRcfNKNeTVc2RN/i3el7iVraHw8Xaz06pBNR35OPRjV8pEMCY7/Yz4afexEaqDIKK6VyRn22G0d7C36a0R5XJyvSs0qwsjDRq8PePZeZO2s707/oR926fmzaeIqxY5awfdenuHtIdOSTk3MY+95S+r3RmFlz3uTy5ft89/UWJA5WdOhYR6Xnubt06VaP8HBfzMzErFh2hPfe+YOtOz/B1dVetx8O3WLWz4f5YlIH6tXyZMOOq7w7eTNRf43Cw81Wtx+uJBPRsBofjWmBjbU5W3dfZ+ynW9mwZCihwSqj8PKNFD6euYsPRzenQ8sgDhy/zUdf7GLNb4OpU1P/5A5g9YpTrPvrDDO+6Yl3NUdW/nmCCWPWsH7nWKyszPTWuX41mRmfbOGdca1p1a46xw7d4vMpW/hj5Qhq1vYEoLCwjDFvraR+Q19+/G0wDg5WJD/MQ2St2+aO1eeIWneBcTO64u4tYcvK03wzYQM/rR+NhQEdKsqluHjY0bRtCCt/OqxXZtby4SgeGX0AD+9m882EjXTuUEtdtnvfVWbNi2Lm1F7UC/dl/ZazvDN+BdFbPsbD3V6nzUqpDInEivffbsPKNTEG+xUgJTWPOQuiaVDXt0q5x6xafoK1q07xxbd98KnmxPIlRxn/biSbd00w+Ftcu5LEtCkbGTO+LW3ahnLkcBxTJ29gaeRowmqrJsgurraMn9gRLx8HAKJ3Xmbyh2t5y9QJ50rVdSK2siDv2l3urNxL2y1fPVNXa183OkR/T8LS3RwfNguXZmE0XfQh5VkFPNh6AgDnJqG0Xj+DS1+sIGlbDD59mtNmwxdEt5hA9rlbBtvu7h9CV78gfr92nvTiYnoH1WBq4xZMPrqPcrnMYL1SqZTJx/ZqlUmf+P2rOzhz8MFd7ubnYSwSMSAkjM8ateCXuCikCrlWvYTok9zec5oG7/bG2s2RWzuOc2LOX3ScOx4TC/2/xWNKsvO5vm4/TiG6jgcLB1vCBrTH2lX1WzyIucKpBeu5PbcTQd52AOw+lcSslZf5YnR96oU4seHgXd79/jhRC7rg4WSl26aZmDc7BRFSzR4LM2Mu3cpm5p/nsTA3ZmD7QADOxWXSrVk16oY4YWZizNIdN3n726NE/dgFVwdLnTZ3H7vHrD/O8sW4CNW9evct3v18H1FL+um/V99IJ6KeJx+NaKC6V++/zdgvD7BhYQ/1vfqXL9ojlWr6Ob+wgt5jt9Gphf5JtsC/T3FxMStWrODChQsANGjQgFGjRqmdo08jk8lYv349ly9fJjMzE0tLS2rVqsWQIUNwcHBQy3355ZfExcVp1Y2IiGDixIl/S7/X2vBXKBTs3LmTQ4cOkZOTg52dHR06dKBv374kJSWxYsUKEhISMDMzo3Hjxrz11lsGDXGpVMpff/3FqVOnKCsrw9/fn7feeovAQNUNIjY2lq+++opp06axfv16Hjx4wPTp0wkLCzOo38aNGzl//jzz5s0DVOFFJSUlVK9enaioKGQyGREREYwYMQKxWMyXX35JVlYWkZGRREZGqtsAiI+PZ+3atdy5cwdbW1saNmzIkCFD1Oczbtw42rVrR3p6OmfOnMHKyop+/frRvn17QDUwIyMjOXv2LCUlJdjb29O+fXv69OkDqEJ9Jk+eTKNGjRg/XmU0f/LJJwCEhoYyYMAAvvnmGxYvXqw1SVi1ahV3797lq6+e/VB8GuMGPVFcO4Ti2kEA5IeXY+RXF+O6nZEfX22wnrI0HypKDX6PEijJfy4dVm65Sr/O1enfVeUJnDa2OTEXHrJuVyyTRjfRkZ82trnW54/fbsLhU4kcOfNAy/AXicBZz4NDvw7X6dc5hP5dVJ7hae83JeZCMut2xTHp7UY68tPeb6qtw6iGHD6dyJEzSeqHydZ98RQUVbBuYS9MxKqIQE89E5nHrFp5jD79GtPvDdU5fzq1D6dOxrNx/UkmfNxdR37ThlO4u9vz6VTV+PEPcCXuxkMiVxxVG/6z5w3VqjPz6wEc2H+Vs2du07OXrhdy5foL9Otei/49aqvOc0JbYs7dZ932K0x6r6VuP0xoq90PY1py+MQdjpy8qzb8V228SEQDX8YMU53XmGGOnL/8kMiNF/nxK/2Gv1KpZMPqc4x4pzmt29cAYMa3vejW5kf2775Bn/719dbbsPosDZv489Zo1RjxHd2cyxeS2LD6LF/P7QvA6uWncHW15fNveqrruXvak1xSoaND9IYL9B3RlMatVasT42d0ZXS3RcTsv0mHPuF6dQgMdScwVLVStOa3Y3pl7CTa43L7qrO4etrTqL5mdWfF6hj69W5A/76q8Td9Sg9iTiewbtMZJn3YWadNLw8HPv9EdU5bdlzQe1wAuVzB5Onr+eC9Dly8fJ/ConKDsqDqh3WrTzPynZa0bV8TgC+/60en1nPYF32NvgN0xxHAutWnadQkgJGjWwEw0r8Vly4ksm71ab6bqzL8W7bWXokZ+2EHtmw4T6p5pdrwT9l7jpS9zx8CWf29HpQkZXLuo98AKLiVhFODYMImDVAb/jUn9CX1wEWuz14HwPXZ63BrWZuaE/px7M3vDLbd2S+Q7XducSE9FYDfr57nt/bdifD05nDSfYP1lCgpqKgw+P3c89oTtT+unef3Dj3xtHIgsShL045SyZ29Z6neqwWeDVXXRYMxvYke/wMPT1/Hv632ypKWDgoF5xdvpUbf1uTEJ1FZqv27e9QL0foc1r8d9w5d4OrtbLXhvzLqFv3a+tO/XQAA00bUI+ZqOuv232HSkDo6xwz1kxDqp3FaeLlYc+BcMhdvZqkN/x8+1L6XfvNeQ/adfcjp6xn0bqVreK/ceoN+nYLp30Wl77T3mhBzMZl1UTeZNEp3LE57T/sZ8vHIBhw+/YAjZx+q79X2NtoTpt3H7mFuLqZzy/8fhv//4uben3/+mZycHKZPnw7AH3/8wS+//MJnn32mV76yspL79+/Tr18/fH19KS4uJjIykrlz5zJ79mwt2Xbt2jFw4ED1Z1NT07+t32sd47927Vp27NhBv379+PHHH5kwYQJ2dnZUVFTw3XffYWVlxaxZs/j444+5fv06y5YtM9jW6tWrOXv2LOPGjWPOnDm4ubnx3XffUVxcrCW3Zs0ahgwZwoIFC6hWzXDIgiFiY2PJyMhg5syZjBs3jmPHjnH06FEAJk+ejKOjIwMGDGDJkiUsWbIEgKSkJL777jsaNWrEDz/8wMSJE4mPj2f58uVabUdFRREQEMDcuXPp1KkTf/75JykpqhCY3bt3c+HCBT766CMWLlzIBx98gLOzM/r4/vvvAZgxYwZLlixh8uTJhIaG4uLiwvHjx9VycrmcEydO0Lp167/dDxiJEbkFoEi8olWsuH8FI8/q+us8wvStHzEduwyTgV8h8tEz8TI1x3TMH5i+/yfiftMRuei/gVZK5cQmZNHsqRCZZvW9uRynu/SqD4VCSUmpFLunbt6lZVLaDvmLVoNWMWb6buJuZ+mtXymVE3s7m2b1PJ/SwZPLcRn/WIfDp5MIr+HK17+cpNmA1fR4ZzO/r7uMXK7QqS+tlHEzLpmIZtrhL00jQrhyJVHvMa9eeUDTCO2HdUTzEOJiH2p5r56kvLwSmUyOnZ3uhEj1W6TTrKGvVnmzhr5cvpGit72nUfVDJXa2msn9lRupNGuk3Wbzxn5cuZFqsJ3UlHxysotp1FRjCJuaiqlbvxrXryQbrHfjajKNIrRDoxo38+f6VU2dE0cTqF7Tg2mTNtO11XyGD1jCjs2XdNrKTC0gP6eEOk/obmIqJrSuN/HXn68/ngepVM6JfXG07V4LkUj1gK6Uyoi9mULzpkFass2aBHH56oP/6HiLlhzCQWJF/z76DfanSUnOIye7mCYRgeoyU1Mx9er7cu1qksF6168+1KoD0DQiiGtX9NeRyxXs33ONsrJKPMv//oP4Mc5NQkk9cFH7HPadx6lBMCKxanXYuWkoKQe0J0cp+y/gElHTcLsWVkjMLbierbknyBQKbuVkEyQxHJYCYG4s5qc2XfilbVcmN2hGNVv7KuUtxapJT5msUqu8JCuf8oJi/o+9sw6P6vga8LsSd3clAgkSggct7lK0SItWKHWFtkChRdpSpy1QrBQtUrQU1+DBJQqBuG5c1r4/luxms7uB2gf99b7Pkwd29szcc+fOvffMmTNnPRo30JZJzKS4NgwkP9H0fQFwc9tRLOxsCOoSXa8caCYJ905dQ1klJyrs/gqmQsn1lELaN9MPqWnf1JOL8aZXh2tz43YhF+PzaBVhOiypokqJQqHGwdZwDJh8Vkf7cPFmzkPpoFKpKaswfF/UZvPvCfTtHIy1pfHVWQEdcrmc8vJyvT+53Pjq/sOSlpbGpUuXeP755wkLCyMsLIznnnuOuLg4MjKMvzesra354IMPiImJwdvbm7CwMCZMmEBKSgp5efrj08LCAkdHR+2ftfXDOQhr85/1+FdUVPDbb78xceJEreHp6elJw4YNOXDgANXV1UybNk3rEZ84cSILFy5kzJgxBmEtlZWV7Nu3jxdffJHmzZsD8Nxzz3HlyhUOHTrEwIE679yIESNo2rTpn9bb1taWSZMmIRaL8fHxoXnz5ly7do3u3btja2uLWCzGyspKT8cdO3bQoUMHbdy/l5cXEyZMYNasWUyePFk7Y2zevDm9emliAgcNGsTu3bu5fv06Pj4+5OXl4eXlRcOGDRGJRCaNfgB7e01YhZ2dnZ4eXbt25fDhw9r+iIuLo6qqinbt2hlrBrlcbnATagOjrO0QiSWo63rmy2Vg44hRygqR7/0OdXYySMyQRHbGbOSHyNd/gDpNs3ymzk9Hsecb1LmpYGGFpEV/zMbMR77qNdSFmXrNFRZVolSpcanjAXVxsiKvoJ4VhVqs/OUS5ZVy+nTWvQyD/RyZ/3ZXwoKcKS2v5qetVxn96q/8umQ4gb7651ZYXI8OhRUPp8PmK5RXKujTSWd03sss5vSlUgZ0bcCSj3qRml7MnG9PolSqeXGs/su3UFaGUqnCxUV/RcDFxY68vBKjx8zPKzEqr1CokMnKcHMzDM358vPduLs70LadYXx9YVEFSqUaF2f9pVQXZxvy8svq74D7rNxwTnMtuuomJHkFZUb61prcAtNt5udpJvvOLvpL984uNmRlFtVbz7mO/s7ONtr2ADLSCtm26TyjxrXlmcntuXEtg88X/s6zajWd++omsbL75+xQZ9XIwdmaPCPx+X+Wc0cTKSutpEs/3bELC8s148FZ//q6utiRm5/wp4914dIdNv96jl83vPLQdfLzTV0LW7IyZabr5ZXi7FLnWrjoXwuApIQsJo5dRnW1Aitrcz79cjRZPQ335zwsVp7OVGQX6pVVZhciNpNi6epARVYBVp7OVBqRsfI0DKmrwfH+e6yoSt9TXlRdiauVacMho7SEJVfOc6+4CCupGb2DQpgV04Xpxw6QXV5qtM6YiGbcKsgju0J/rFfJNPIWDvrXwsLehvJ80/dFXsJd7hy9SLePnzcpA1B0L5vDHy5HJVcgtTSn7SsjCfHVOCoKi6s1z0kH/RV7FwcL8mT1rxp1fn47BcVVKJVqpg2P1K4YGOPztZfxcLYipolhzL7uWW2lr4OTFXkFD/ms3nL1/rPauDPqSnwuiXcK+fi1jg/V3r+BfzKrz7Zt29i8ebNe2bBhwxgxYsSfbjMhIQFra2tCQ3WOj7CwMKytrYmPj8fb23SIaG3Ky8sRiUQGhv3x48c5fvw4Dg4OREVFMXz4cKysrEy0Ypz/rOGfnp6OXC6nSZMmRr8LDAzUC+tp2LAharWajIwMA8M/OzsbpVJJeLjOYJBKpYSEhJCWpu/JaNDA9EPjYfD19UUs1i3UODk5cfeuac8VQEpKCllZWRw/flyvXK1Wk5OTg6+vZqNQ7RUIkUiEo6MjxcUaI6FLly589NFHvPrqqzRr1owWLVrQrJnh8mh9dOnShQ0bNpCQkEBYWBiHDx+mXbt2JsOnjN2Ua0yvBtdoDmrjTwp1QQbqAt2MW5ERj9TOFUnrQShqDP/MBNSZOuNEkXYLs2cWIY7ui/Kg8RUfUd2VSDVa72d97DqUyLdrzrP4wz56xmVUhCdREboXR3SkF0++8As//3qN96d1MNaUcR0eqAHsOpzEt2viWPxhT70XkkqtxsXRkjmvdkQiEdM4zI2c/DJWbL5iYPjrdNA/olqtrrcf6n5Vc9mM1Vix/BC/7Y5jxeoXsbAw7cky7If6dahh1/6bfLsilsXzB+PipG/wGatfu+j33VdZOGe39vNni58yqovm/OrX5UHHUqnUNIz05oX7YUrhjby4nZzLLytjWfbZfq3c9M+GGm/vIXT4IxzadYXmbYNxdjMMAzM8/4e7FsYoLavirfc2MveDoTg7GY+TBfht12Xmz9mh/fzF4rH3dakzNh/iBjEcz4ZlAUGurN08lZKSSg7tv87s97cwzNwO1+o/721V131+1RyzVrkxmdpFMd5+TGqiCyn79JzxfRMiTD4uAUiSFZAk023STSjM4+MO3ekV2ICfblw2kB8fGYW/nQNzTh2h8MoV4lbqNiW3f2O07qB6qE1eCnlFFee+30b0pAFY2NXv2bTzcqX7x88jL6sk/dwNzi/9lSSfzoT4OujO18iBHjQk187pRlmlgssJ+Sxadxl/Tzv6dzBcrf9x+012n7zLT7O7YmFueu+ekdN/oA4Auw4n8+3PF1k8qzsujsYNvc174wkNdKJpuGnHnICOIUOG0L+/fiiqmdlfWymRyWQ4ODgYlDs4OCCTyR6qjerqatatW0f79u31DP8OHTrg7u6Oo6Mj9+7dY926daSmpvLBBx/8IR3/s4Z/fXFRBg/VWhh7cdXIP4zhY2FR/wamB1F3M7BIJKpX3xo9unfvTt++fQ2+c3XVZfgwttG4ZhNfcHAw3377LZcuXeLKlSt88cUXNGnShDfeeOOhdXdwcKBFixYcOXIEDw8PLl68yKxZs0zKG7sp+XaM5t/yEtQqJSIbR/TO3toByk17j+qizkhAHNm5PgnUWUmInbypG4Di5GCJRCwy8O7nyyoMvDp12XM4ifcXHeHLD3oS08J41pkaxGIRTcLcSU2XGXznZP8XdDiSzPufH+PL97sTU2f52c3ZGjOpGIlEN8ls4O9EbkEF1XIl5ma6seLkaINEIiYvT9+TXFBQiouL4YY1ABdXw9WAgoISpFIxDo76ht2qFYdZvvQAS5e/QFi4cW+Jk4MVEonIwLufX1iOywP2Suw5eIv3F+zly7kDiakTKuTqbENegWGbrrWMzw5dwohoous/ebVmo2R+XimutQziwoIyAy9ybVxcbbUe6hoKCsr0vNWubnYE1cnKExjkyv69N/h09XhtmeJ+uJQsvwwnV139osJyHB9y78iDyM0s4sq5VN6aP1iv3MnJWjMe8vWvb35BKa7OxsfDg7iXlk96RiEvvLpaW6a67wqMaDmDvdvewN/PhU5PNKRxU939VK29FiX61yK/zOTYhPvXoo5339j1MzOT4uevCZWJiPThxrV0zt/JpneOae97fVRkFWDt6axXZunuiEquoDK/WCtjZUSm9ipAXHYmyTLdRFAq1tyvDhaWyGp5/e3NLSmqrt/jXRs1kFJUgKeN4UTv6cgooj28mXvqCAWVFXhHh9M9RHctVHLNtaiSlWLlqKtfVVxusApQQ1lOIeV5MmI/X6/T4f77buszc+j5yTTthl6xVKL9v1OwNwW3M/hpTwJznm2Fk7255jlZx7ufX1RlsApQF9/7m27D/R3JL6rk21+uGRj+y3fcYsm2G6z44AnCAxyNtqN9VtdZiX2oZ/XRFN7/8jhfzuhq8KyuoaJSwZ6jKbz89IPDof5NKP/BGH8zM7OHNvQ3bdpk4Iisy/z5801+97COD4VCwZdffolarWby5Ml639XsuQTw9/fHy8uLd999l5SUFIKDTWfQq8t/1vD39PTE3Nycq1ev0q1bN73vfH19OXr0KJWVlVpv9K1btxCJRHh5GaZI9PT0RCqVcuvWLTp00HhkFQoFKSkpRo3tfxKpVKqXcQMgKCiItLQ0PD2Npwx7WKytrYmJiSEmJoa2bdsyb948SktLsbXVf2hLpZphVVcP0GxM+fLLL3F2dsbDw4OGDU3H4xu7KbVbzFQK1FnJiAOboUo8o/1eHNgMVdLDb6YTeQRBaWH9Mu6BqHMNV1XMzSREhrkReyGNHh10N13shTS6xgSabG/XoUTe++wwi97rQZe2D97noVaruZmcR1iQYSyuuZmEyFBXYuPS6dFBt/wbG5dO13am2951OIn3Fh1j0fSudGljmCUjOtKTXYeTUKnUiMWah9Wd9CLcnK31jH7QxI43ivDlVGwC3brrwthOxybwRFfjccfNogI4elg/O0HsyQQiIv0wq9X+yuWHWLbkAN8ve5bIxn51m9HvhzBPYs+l6qXajD2fStcOISbr7dp/k/fm72XR7P50iTFcjYtq7E3suTuMH6lbajp59g5RjXUTEBsbC73sMGq1GhdXW86duk14I83zQi5XcvFCKlNf1X/W1KZxM1/OnbrNU+N0G/rOxqbQpFY60iZRvty9k69X725qAe7eDnj56YxNtVqNo4sNV87dISjcQ6vDjYv3GDu1vonuw3N491UcnKyJrtNv5mZSIhv5cPJ0Ej266kKAYk8n0a1LRN1mHorgQDd2/vKqXtmXi/dRVl7Fe28NwNNT42EzdS3OnEomvJHmmsnlCuIu3OGlV3uaPF6TZn6cOZXE6Kd16WVPxybRNMp4Klvt8QCF6M/HJuSevoFff/3QR5+eLck7n4BaoZnM5Z66gU/3Ftz4cotOpkdLcmKvaz9XKhVUlutn6imsrKCJqzupxTIAJCIRDV1c76fefHj87R25V6LvXHkmMoqWnj58dOoouRUaJ4SZlYVeph61Wo2lgy3Z11JwDNTcFyqFkrxbd2g8sjvGsPNypfu8F/TKrm8+hKKymmZje2PtYuhZ1R1QE1cPYC6VEBnsROyVLHq01t1PsVey6NrKuCFttEm1mmqFvgto+Y6bfL/lBj++15kmDZxN1Kz1rL6YTo/2gTodLmbQta3pcbXrcDLvfXGcRe92MfqsruG3YylUy1UM6Gr6efdv5HH5Aa/evXvTvn37emXc3NxITU2lqMjQ+VhcXGx0JaA2CoWCL774gtzcXGbOnPnA+P2goCAkEglZWVmC4f8wmJubM2jQIH7++WekUinh4eEUFxeTlpZGx44d+eWXX1i8eDHDhw+nuLiYlStX0qlTJ6NpKy0tLenZsydr1qzB1tYWV1dXtm/fTlVVFV27djU8+D+Im5sbN2/epH379kilUuzt7Rk0aBDvvfceP/74I927d8fCwoL09HSuXLnCxIkTH6rdXbt24eTkRGBgICKRiNOnT5vcWOLg4IC5uTmXLl3C2dkZc3NzrVyzZs2wtrZm69atfymODkB5fgfSfq8gzkpGnR6POKoHIntXlJd+B0DSaSwiW2cUe77WfG7RH3VRDur8eyCWIo7sjCQ8Bvm2hdo2JTEjUGUkoC7MRGRhhSS6PyL3IBT7lxnVYfzQZryz8CCNw9yIivBk0+4bZOaUMGqAxuBd9ONpcvLKWPiuxuDbdSiRdxceYsbU9jRr5EHufU+9pbkEu/spGb/96RzNGnkQ6ONIaXk1a7Zd5VZyPjNfNh63OX5oE9755Mh9HdzZtPsWmTmljOqvyZyxaPlZcvLLWPj2ExodDifx7idHmPFCDM0auet0sJBiZ6NZCXuqfyN+3n6dj7+PZeygSFLTi1my/hLjBhs35J8e35kZ76wjMtKPZlGBbP7lFJmZhQwfqTGcvvp8F9k5xcxboFnuHz4yhvXrTvLpwu0MHdaWy5fusG3LGRZ+psvks2L5IRZ//RsLPh2Lj7czebkaj6e1tQXWRtIwjh/Vknfm7qZxQ0+iGnuzacdlMrOLGTVYE5K26Idj5OSWsPADzV6XXftv8u5He5jxSleaRXqRe9/bbmlhpr0W44a3YNy09Sz7+QzdOoZw8HgSp86nsva7pwyOX4NIJGLk2NasXn4C3wBn/PydWf3jCSwtzehZKw7/wxm/4uZhx9RXNGNjxJjWTJ2wmjUrTtLxiXCOH47n3JnbLFk1Xltn1Li2PPv0SlYtO0G3XhHcuJrO9s1xPPtuTwMd+o1sydbVp/H0dcLLz4mtq09jYSmlQ89GWrlvPtyNs5stY+5PBuRyJWm3NZvJFAol+bkl3E7IxtLKXG9ioVKpObz7Gp37NkYiNcwRMWFsB95+fxONI3xo3jSAjVvPkJklY9SwNppr8fVesnOK+OQjXXaKm/GaMLyy8moKCsu4GZ+BmVRCSAMPLCzMCAvRd1zY22mcMnXL6/bDU2PbsfLHY/gFuODn78KqZUextDSjVz/dJHXWjM24uWvScwKMGtuO58YvZ/XyY3R+ohFHD9/k7Jlkflyt88At/mo/MR1C8fB0oLysin17rxJ37jbDS3QTdKmNJfYhOsPSNsgT52YNqCoooexeDi3mTcLa25Xj4zXPoFs/7KThi4NotegFEpbtxr1dBKET+3B0tC5bz42vt9Ln6Jc0eXsUd7efxH9Qe7y7R7O7Y/17H/beTmJgSEOyykrJKitlUEhDqpVKYtPvaWWeb9aKwsoKNsZfA+DJ0EYkFhaQVVaKtZmUnoEhBNg7suraRW2d8Y2bE+Ptx+fnY6lUynG4v6otFSlRqHVGskgkIqR3G+J3HsfW0xlbDxfidx5HYm6GXztdyO25H7Zh5WRH45HdkZhLcfDT30xrbq257rXLr206iGezEKycHVBUVnHv9DVyb95hwJO6Se74/g1555vTNA52JirMhU0HksnMK2dUD42hvGjdZXIKKlg4TTPxXrs3ES9Xa4J9NPuNLtzKZcXOeMb20cVu/7j9Jl9tvMpnL7fDx92GXJnGm29tKcXGyOba8U825p1Pj9I41I2oRu5s+u3+s7qfxgG2aMU5cvLLWfiWRu9dh5N597OjzHi+Lc0aGn9W17Dl9wS6x/jjZF//CobAn8Pe3l67f7E+wsLCKC8vJykpSZvVMTExkfLycr1w8LrUGP1ZWVnMmjULOzvTWfRquHfvHkql8g+nU//PGv4AQ4cORSKRsGnTJgoKCnBycqJHjx5YWFjw3nvvsXLlSqZPn66XztMUo0ePRqVS8c0331BZWUlwcDDvvfeegTf8n2bEiBEsW7aMl156CblczqZNmwgICGD27Nls2LCBmTNnolar8fT0NLmp1hiWlpZs376dzMxMxGIxISEhTJ8+XW+/QQ0SiYQJEyawefNmNm7cSKNGjZg9ezYAYrGYLl26sG3bNjp3/mueR9Wtkygs7ZDGjAAbJ9R5d5Fv/giKNRlwRDZOiOxrxTpKpEifGA+2zqCoRp13D/nmuahSamVFsbTBrNcLYOMEVeWoc1KQr38fdVaiUR36PhGCrLiSxT9fILegjNBAZ5bM66dNfZlbUE5Gji5kYOOuGyiUKuZ8c5w53+j2XAzuGc6CtzWTxJLSamZ9cZTcwnLsbMxp1MCNNV8MomlD4z841LdLA2TFVSxeG0duQTmhAc4s+ah3HR104Sobd99CoVQz59uTzPlW96M/g3uEsuCtLgB4uduyfH4fFvxwmkHPbcXD1ZpxQyKZMsL4vo7efZojk5Wz5Pt95OYWExLqxeIlU/D20XjAcvNKyMrUraz4+rrw3Q+T+WTBdjasO4GbuwPvzhiiTeUJsGn9SeRyJW/UCu8AeH5qT6ZOM0wJ2bdbQ2RFFSxeFUtufhmhQa4s+XQoPve9wbn5pWRk68JPNm6/rLkWnx9gzucHdP3QJ5IF72lW6qKb+LBo9gC+WnaCr388gZ+PI5/PGVBvDn+AsRNiqKpU8NnHv1FSXEFEEx++/GGMnjc6O6tYu5oC0DTKjzkLn2TJt0dY+u0RfPyc+OiTJ7U5/AEiGnuz4IvhfP/VIVYuOYaXjyOvvt2TFr0MJ2SDxramukrOj5/tp6ykkpAIL97/coReDv+87GJEtXQozCvl7Wd0/b1z3Tl2rjtHRHM/Pqw12bl67g55WcV07W+4Rwqgb69mFBaV893Sg+TklRAW4snSb8bjc/83HXLzisnMkunVGTzqa+3/r99MZ9dvl/DxcuTQHuMp8B6Wpyd2pKpKwcKPdlJSXElkE1++WfKM3rXIyixCJNI9y5pF+fPxJ8P5/puD/PDtIXz9nJj36QhtDn+AgvxSZs3YQl5uCbZ2loSEevD190+T1vWgVsa1ZTh9Dn+u/dzm86kAJK76nRMTP8HK0wUbf50BW3oni/39ZtDm86k0mjqQ8ox8zrzyrTaVJ0DOqRsceeojoudOoPmc8ZQkZ3Bk1Nx6c/gD7EqJx1wiYXzj5tiYmZMsK2DBmeN6OfxdrKz1QketpeZMbhKNg4Ul5Qo5qcUy5p46QkqR7l7uEaBZ8fmgXRe9421OOUVcnn6a0LB+7VFWK7i0ag/V5RU4B/vS4e1xeisD5flFf3gvSFVRKed+2EalrBQzKwvs/T3o8NYY2jfVnVvfGH9kJVUs3nKN3MJKQv0cWDK9Ez5umvCt3MIKMvJ0z0mVWs0X66+QllOKRCzG39OWN8Y01abyBFi3LxG5QsUrn+v/eNqLwyJ5aYThvdG3c7DmfbH2IrmF5YQGOLFkbs9az+oK/ffFnvvP6sWnmLP4lLZ8cPdQFrypS1F8O62IC9ezWT7P8Ln4b+ffls7T19eXqKgolixZwpQpUwDND5xGR0frbex99dVXGT16NK1bt0apVPL5559z+/Zt3nnnHVQqlXY/gK2tLVKplKysLE6cOEHz5s2xs7MjLS2NNWvWEBQUVG/khDFE6gcFiAsI/M388MMPFBUV8c477/zhulWfDPkHNPpjmD/194RK/CVUpn9w5/+Lat9GDxb6hzEvyHyw0D9M4WPgYaubx/9R0NTSdJjD/xfF0r+Wiu/vYIvlkketAgd2vvBgoX+YALfqBwv9w3xsEf+oVQB70/t6/r8QBb39qFX40+y4Y/o3ef4qAwPHPljoT1BaWsqKFSu4cEGTmrdFixZMmjRJ7we8RowYwdSpU+nSpQs5OTna3z+qy6xZs4iMjCQvL49vvvmGe/fuUVlZiYuLC9HR0QwfPvwPO5j/0x5/gf9fapa/Tpw4of1xLwEBAQEBAQEBYyj/ha5pW1tbXn755Xplan5cFcDd3V3vszFcXV3/1A+dGkMw/B8hr7/+Orm5xn+Y6dlnn6Vjx/+dXLwAn3zyCUlJSXTv3v0v/ZaBgICAgICAgIDAH0cw/B8h06dPR6k0/iulD9r9/W+kJs5fQEBAQEBAQOBB/Nti/P8NCIb/I6S+X78VEBAQEBAQEBAQ+DsRDH8BAQEBAQEBAYHHjsclj///EoLhLyAgICAgICAg8Njxb9zc+7hjmIRdQEBAQEBAQEBAQOB/DsHjLyAgICAgICAg8NghePz/fgSPv4CAgICAgICAgMB/AMHjLyAgICAgICAg8NghbO79+xE8/gICAgICAgICAgL/AQSPv8C/ipKXBz9qFZj0q+OjVoHlg2WPWgVi7xU+ahXoHxD4qFXAceeGR60CNokFj1oF9gwf8qhVoE9Z6qNWgQM7X3jUKtB9wPePWgWemmv7qFWA8d0etQZ03h7+qFXg2NRHrcGfR4jx//sRPP4CAgICAgICAgIC/wEEj7+AgICAgICAgMBjh+Dx//sRDH8BAQEBAQEBAYHHDsHw//sRQn0EBAQEBAQEBAQE/gMIHn8BAQEBAQEBAYHHDiGd59+P4PEXEBAQEBAQEBAQ+A8gePwFBAQEBAQEBAQeO4QY/78fweMvICAgICAgICAg8B9A8PgLCAgICAgICAg8dgge/78fweMv8FDMnj2bVatWPWo1BAQEBAQEBAQE/iSCx1/gX49arWbFD8fZvuUSJcWVRDbx5vXpvQgOcau33uEDt/hx8VHS78nw8XPk2Wld6NxN9/PqQ/ssJiujyKCeY6t2ePYfYlA+qnE4vRoEYmNmRkJBIUvOX+FecYnJ43cN8uOVNtEG5cM27USuUmk/O1tZ8kyzCKK9PLCQiEkvKUMiOoZSXfBI+6HdgJY8Oa2PgQ77fz7GmT1xlJdW4t/QhyEv9sYz0N3k8c/siePCgStkpeYC4BPiRZ8JT+Df0EcrM+/prynMNtQhbnQnZs4cqf28bt0xViw/QG5uESEhXkyfMYyWLUNMHvvs2UQWLthCUlIm7u4OTJrcg1GjOurJFBeX8+WXO9m//xLFReX4+rrw9jtP0rlzY6NtrovNYMWRNHJLqgnxsGH6wGBaBjuY1EF7LreLePqHK4R62LDtdd242Hc1j6WH7nE3rwKFUk2AqxXjO/swqIWHybbEzXojbTUIbJxQ599DcXgF6vSbRmVFvpGYj5xrUF698iXUBemGbYe3x6z/GyiTzqDYvrDec1Kr1fy+5hindl+korQS/4beDH2pD16BpsfkqT1xnNt/law7mvHgG+pJv4lPEFBrPADI8orZ9eMhbp5NRl4tx83HBb+pLWgc4qKVWbcnnuW/Xie3sIIQP0dmTGpJy0jj/XbhRg6f/RRHSnoRlVVKvN1sGNkrlPEDI/Tkfo9N5et1l7mbVYK/px2vjo2iR1v/evsB4MnQCLr6B2FjZk6SrIBV1y6SXlpsUr6TbwDPNWtlUD7+t63a58PABuG09PTB29aOaqWSxMJ8Nty6qifv0bEJjd8ciWuLUKy9XTk4ZCZ3t5+sV1ePTk1pvegFHCMDqcjI4+qnG4lfsktPJuDJjkTPmYBdAy9KkjO58P5y7v5qul1Jiz5I2g5BZOuEOvcu8v3LUd+7YVRW7N8Y83EfG5RX/TAVdb5mTJqP/QhxQBMDGWXSeeQbDcczwLrtV1m+8SK5+eWEBDoz48UOtGzqbVR237FkNuy8xs2kPKrlSkICnZn2TGs6tjJ+rXcfSuSNj/bRrX0Qi+f2NSpTmwmtGjAgwhc7CzNuZBfxxbEb3Cksq7eOrbmUKW1C6RTsga2FlKySChafjOf03TwAxkQH0SnYgwBHG6oUSq5lyfjhdMIDdXmcEbL6/P0Ihr/Av561K0+zYc1Z3pvTH/8AZ1YtO8mrz69n/fbnsLGxMFrn2uU0Zr29jckvdqZz1zCOHkrgg7e38f3KcUQ21RgYP64dj6rWUyclKZdXn1uPXWRTg/aebBjCoPAGfHXmIhklpYyICGPOEzFM3X2QCoXCpO5l1XKm7jmoV1bb6LcxM2NB945cy85jztFTFFVV4Wlrw2sx8kfeD806NjJo78imWI5tPc3INwbi5uvCgXXHWTZ9LW8tn4qltXEdkq+kEvVEYwIifDEzk3Lkl1iWzVjLm0ufx8HVHoCXv56kp0PWnRyWTV9L717NtWV79lxgwfzNfDBzJNHRDdi48QTPPbuYnbs+wNvb2eC4aWl5PP/cdwwb3p5PPh1PXFwyc+dsxNnJlp73262uVjBp4jc4u9jx1VeT8fBwJCurEBsbS6PnsudSLgt2pPDBkBCiA+3ZeDqT55ZfY+ebLfB2Ml4HoKRCwbsbEmgb4kh+if61dbSW8lxXP4LdrTGTiDhys4D3NiXgYmtOh3Ang7bE4e2RPjEBxcFlqNNvIm7aC7Mn36d61StQkmdSh+oVL6KuqtAVVBgxSu3ckHYejyrtusl2anNo4ymObDnD6DcH4ubrzP51J/jhnbVMX/mCyfGQdDmV6CciCYrwRWou5dCmU/zw7jre+fE5HO+Ph/KSCr5+dTWhzQJ4dt4o7BxtyMsoxN5GZzjtOXGH+SvOM/O51kQ3dGfj7wk8O/cQu74ZiLebjcFxrSyljOkbTnigE1YWUuJu5jDr+9NYWUgZ2SsMgIu3cnn9s+O8PLoZPdr6s//0XV779Bhr5/eiWZjpyUz/4HD6BoXyw5VzZJWWMji0EdPbdOTNI79TqTT9fCiXy3nz6F69strPh4bObhxITSZZVohEJGJEeGPebd2R36y/QVFeCYDUxorCK8kkrdpL1y0fmjxWDbaBnvTYPY+EH/dwbNx83Ns3pt3il6nMLSJ163EA3NpG0GXDB8TNXMndbSfwH9KBJzbOZHfHV8g7e8ugTXGjDkh7TEKxdwmqezeRRPfCfNRMqpZMg2LTY7Lq+xdQV5XX6hDdmKzevAAkOhNGZGWH+ZSvUN00PvnYcziR+YtPMPOVzkQ39mTjzus8++5Odq0cjbeHnYH8+SsZxLTw47VJbbGztWDr3ptMfW83GxcPIyJU/1qnZxXzyQ8nadnEy+S51GZ08yBGNAtk/qGr3JOV83SLYD4f2JIx605QIVcarSMVi1g0sCWyimo++P0SuaWVuNtaUl5LPsrbmW1X73IrpwiJWMyUNiEsGtDyoXR6XBFCff5+hFAfgYdGpVLx888/M2HCBKZMmcKmTZsAyMnJYcSIEdy5c0crW1ZWxogRI7h+XWcgpKWlMX/+fMaNG8eUKVP45ptvKC427fF6GNRqNZvWnuWZye3p0r0hwaHuvP/RAKoq5ezfY9o42fjzOVq1DeLpSTEEBLny9KQYWrYOZNPac1oZJ2cbXFxttX8njyXh4+eEdWCwQXsDwhvwy/UETqdlcreohC/PXMRcIqFTgI+BrJ7+gKyySu+vNkMbhZJXXsHXZy+SWCAjp6yCK9l5qNT6KwmPoh+CmwYY6HD817N0G9WBJh0a4Rnozqg3B1FdJefi4WsmdRj97hBiBrTEp4En7v6uDHu1P2q1msSLt7Uyto422Dvbav9unknExcuJVq1DtTKrVx3kyaHtGD68PQ0aeDJjxjA8PZ3YsP640eNu2HACLy8nZswYRoMGngwf3p4nn2zHihW6idjWracoKirn22+fIzq6AT4+LrRoEULDhr5G21x9LJ0nW3kwvI0nDTysmTGoAZ6OFmw4lWny/AFmbUmkX3M3ogLsDb5r3cCRHk1caeBhjb+rFU939CHMy4YLtw1XQAAkLQagunoQ1dUDqAvSUR5ZgbokH0mzXvXqoC4vgnKZ7k+t0hcQiTHr9yqK2A2oZdn1tgWa8XB021l6PNWBph0b4hXkzui3BlJdJSfukOnxMG76EDoMbIlPiCce/q6MfK3f/fFwRytzcOMpHN3seeqtgQQ09MHZ05Gw6CD8vXQG3KrtNxjaPYThPUJp4OfAjMmt8HS1Zv3eeKPHjQh2pn+nIEL9HfH1sGVgl2A6NPfmwo0crcxPO28SE+XFc8OaEOzrwHPDmtC2qRerdxoau7XpHRTCr0m3OJ+VQVppMT9cPoe5REKMj1/9fYiaoqoqvb/afHLuBMfSUkkvLeZuSRFLrpzD1doGlxa6+yJ971niPlhJ6rYT9R6rhobPD6Dsbg5nX/uOolt3SVy+h8SVe2n8xgitTOQrT5Kx/wJXF6ynKP4eVxesJ+NgHJGvDDXaprTNIJSXDqC8tB91fhqK/ctRF+chje5jVF57/mVFUCbT/dUek5Wlet+Jg6JAXoXShOG/6pdLDO3TiOH9ImgQ4MyMaR3xdLdj/Q7jY3HGtI5MHhVNk4YeBPo68vrkdgT4OHD41B09OaVSxVvzDvDS+Nb4ej94ZQ9geNMA1lxI4VhKDrcLSpl38CoWUgk9Qk1PHPo28sHewowZv13kWpaM7NJKrmbJSM7XvQve2nWBvfEZ3CksIzm/hPmHruFpZ/VQOgn8dxAMf4GH5ujRo1hYWDBv3jzGjh3Lli1buHLlykPVLSwsZNasWQQEBLBgwQJmzJhBUVERX3zxxV/SKSNdRn5eGa3bBWnLzM2lRLXw5+plwzCFGq5fSadVO30DvnVMMFcvpxmVl8uV7Nt9jX6DmyISifS+87CxxtnKkotZudoyhUrF9Zw8GroaepprYyWVsGxAD5YP7Mn7HdsQ5Kj/4mjt40lygYy3Y1qyenBvvujVmR7BAQbtPA79UJAlo6SglLAWuvak5lKCmwSQesN4e8aorpKjVKiwNvHCUsiVxB26SqteUVodqqsVXL9+j/bt9Vch2rdvxMWLKUbbuXQpxVC+QyOuX09Fft+LdujQFaKigpg7ZyMd2r/LgAEfseSHvSiVKoP2qhUqrqeX0D5M3wvfPsyJi6mmJ7hbz2VxL7+SF3sYXte6qNVqTiUWcienwnj4kFiKyKMBqtTLesWq1EuIvRvW27b5uEWYP7ccs2GzEfkZhjFJ2g1HXV6M6tpBI7UNyb8/HsJb6o+HkKYB3P6D40FVZzxcP5WAX5gXq+Zs4YPhn/PZ88s4tSdOV0eu5HpyAe2j9A2p9lHeXLyVy8NwI6WAi7dyadVYFxp0KT7XoM0Ozb24VE+bblY2OFlacTVPN1lSqFTcys8j1MnFZD0AS4mUr57owzdd+/Jmy/YE2DvWK28tNQOgqsB0iOGDcGsbQcb+C3pl6b+fw7VlGCKpRCPTLoL0/ef1Zfadxz0m0rBBsRSRVwNUty/pFatSLiH2fcCYnPwFFq+sxGz0HKNhPbWRRHVHeeM4yKsMvquWK7mekEv7lvphOu1b+nHxela97Wr1Vakpq5DjYKe/UrV4zTmcHSwZ1jfCRE19vOytcLGx4Nw93UqHXKXmckYhjT0dTdbrEOjO9WwZr3VsxK/ju7BqZAxjo4MQi0xWwdbc7KF0epxRqv+5v/8qQqiPwEMTEBDA8OHDAfDy8mLv3r1cvXoVT0/PB9bdt28fwcHBjB49Wlv2wgsv8MILL5CRkYG3t2GcpVwuRy6vE9JSZ6pakKdZ2ndy0V+6d3axMRqXXkN+XinORurUtFeXY4fiKS2ppO/AphyL1f/OyVLzIiiq462XVVXhbm1tUoe04lK+OnOR1KJirM2kDAhrwMLuHXhl7xEySzV6eNha0zskkO3xyfxyI5EwF0emRDehWlVClUpn0D6KfkisY/uWFJQCYOtkq1du52RDYY5pHeqyZ8UhHFzsCI02XFkBuB57i8rSSlr2bKYtkxWWolSqcHXR95i7uNiRl2fc6M7LLcGlg/4Sv6uLPQqFisLCUtzdHUi7l8+Z0wn0H9CKJUumcic1h7lzNqFQqnjxRf04XlmZHKUKXO3M9XWwNSOvxDA0C+BObgWf77nDmqlNkUpMv8FLKhR0+egM1Qo1YjHMHBJiMMEAwMoOkViCulymX15WBIGOxhsvK0S+7zvU2SkgkSKJ6ILZ8NnIN85Ena6JwRZ5N0TSuDvVa143qaOBzvfHg52j/viydbIxul/DFLt+PISDqx1h0bpJbX5mIbE7L9BlaBu6j27P3VvpbFu8j2hVawY/0YDCkiqUKjUujvrhVS4OluQVVtZ7vM6TtlBQVIlSpWbayKYM76HznufJKnFx0J+QujhYkVtYUbcZLY6WGh2KqvSPW1RdiauV6edDRmkJS66c515xEVZSM3oHhTArpgvTjx0gu7zUaJ0xEc24VZCH7Pqdes+xPqw8nanILtQrq8wuRGwmxdLVgYqsAqw8nak0ImPlaWRMWttrxmSpTK9YXSYDWyPygLq0EPnub1FlJYPEDEmTLpiNmUP1mveM7gsQeYcidg9Evvtbo+0V3r+eLk51rp2TFXkF5Ubr1GXlpouUV8rp00W3ZyjuWiZb9tzk12Uj66mpj8v9ELeC8mq98oLyqnq98172VjS3c+ZAYiZv747D18Ga1zo1QiIWs/p8stE609qHczmjkGbexvtZ4L+JYPgLPDT+/vreEicnJ4qKHu4FnpKSwrVr1xg3bpzBd9nZ2UYN/23btrF582a9skEjA/h07m/az59+q1l+rut9VqsNy+pS92u1Wm1QVsOubZdp274Bbu52dA7w5YWWOqNz7rHTmvrouxBERspqk5BfSEK+7uV5M7eAz3t1oX9YMMvirt5vQ0RyoYyfr2g2Zt6WFeHvYI/8ZiofzvpUW/dR9MPGdVfZ8tVu7XcT5z6lPe+6OhiWGufwplguHb7G858+jZm58cfT2d8vEd4qBAcXw7jcuodRU//5G/TX/etVU6xSqXFxsWPOnNFIJGIiG/uTm1PE8hUHDAx/U6gN1QJAqVLz1rpbTOsZQJCbaQMQwMZCwtbXoimvUnI6ScbCnSn4uVjSuoGjiYPWGXeiGk2MiBZmoC7M0H5WZCYgtXNB0moQivQbYGaJWd9XUOz7DipMe5IvHLzKpi/3aD9P+WhUrWPr6/aAIanl4MZYLh65zoufjdMbD2q1Gr8wb/pN6gqAb4gnWal5rN+bwOAnGtQ6bcMDPejYa+f1pKxCweWEPBaticPfy47+nXSTDsP6+ucT4+3HpCYttJ8/PWc8xEaE4WWqTZKsgCSZbgN/QmEeH3foTq/ABvx047KB/PjIKPztHJhz6giGKQP+GGqD8SOq+aJemfrOx2D8iUQmO0BdkI6y1sZyRXo8IntXpG2HIDdi+EuadUeVcwd1RmJ9Chg+C9QPHg8Auw4m8O1P51g8ty8uTpp7tbS8mrfm7WfuG0/g5GDaYO8R6sUbXXSrAe/srlmZqvO+EInqeVuAWCRCVlHNp0euo1JDQm4xrjYWPBUVZNTwf61jI4Jd7Ji27Qxbnuny4JN8TFGqH/JhIfDQCIa/wEMjlRoOF7VajVgs1v6/BqVSaSDXokULxo4da9CGo6Oj0eMNGTKE/v3765XlVvxMZBPdJKG6WnOcgrxSXN10nubCgjID73dtXFxtya/j1S4sKDdaJyujiPNn7jDvc0386tn0LOJrGexm98/f0dKSwlpefwcLC4OY/fpQA0kFhXjZ6nQorKzkXpG+sXWvuIQxXXsR1EgXXvAo+iGibRj+4bo9DAq5ZpNiSWEp9rWM8lJZGXZOpnWo4cgvpzi04QTPLhiLd7DxzCuF2TISL97m6Q+G65U7OtkikYgNvPsF+SW4GJsgAK5uhqsB+fklSKViHB01fejmZo/UTIJEoltqCm7gSV5uMdXVCsxrGaOONmZIxJBXUseTVyrHxc5wyb2sSsm1tFJuZiTx0a9JgCaDhVoNjd85zo9TmtA2xBEAsVhEgKvGuGjkY0tyTjlLD90zNPwrSlCrlIhsnPSNCGsHjdf/IVFnJiBu1BkAkaMnIgcPpENm6ATuW0vmr/1C9YppUJRNZLsw3mxYezxoxmRJYZneJK1UVo7tQ4yHw7+c4sD6k7ywcIzBeLB3tsXD31WvzMPflfhjmnhtJzsLJGIReTJ9T3x+UaXBKkBdfO9v9AwPdCJfVsG3G65oDX9XR0ujbbo66gy/uOxMkmX7tZ+lYk14jIOFJbJaXn97c0uKqutffaiNGkgpKsDTxnA8Px0ZRbSHN3NPHaGg0vTqw8NQkVWAtad+iKKluyMquYLK/GKtjJURmbqrAACUF2vGpK3+mBRZO2ji8x8SVXoCksadDb+QmiOJ6Iji2DqTdZ0cLDXjoY53P19WoTXkTbHncCLvf3aYL2f1IqaFbk/GvYwi0rNKeOE9nfNDdf8dGNn9O35bPQZ/HwdO3MnhxkbdvWd2f2XP2dqC/FpefycrcwrLTb8v8suqUKjUelluUgvLcLGxQCoWoaj1xSsdGtI+yI2Xtp0jt+zh30EC/w0Ew1/gL2NvrwmvKCwsJChI84KsvdEXICgoiDNnzuDm5oZEInmods3MzDAz0zeYbMQWehlq1Go1Lq42nDt9m7BGmpAjuVzJpQt3eeGVJ0y2HdnUh3OnbzNqXGtt2blTKTRpZrhpc/f2yzg5W9Ouo2aJt0KhoKJUPxNHQUUlUZ5u3JZpHvBSsYhId1d+uvxw2U9qCHJ0ILVIZ4zezCvA214/dMbHzhYrGzW+/roX76PoB0trC73MLGq1GjtnWxLibuMToomDVsiVpFxNpe+kbvWe95FfYjm47gST543GL8x4ej2Ac/suY+toQ6M2oXrl5uZSIiP9iI29RY8eUdry2NhbdO1qmIUJICoqmCOH9VMfnjx5k8jIAMzMNGM0OjqYXbvOo1KptBPcO3dycHNz0DP6AcylYiJ97IhNlNGjic4ojU0opGukYSy3rYWE7W/o+2bXx2ZyJknGl083wtfZtIGqVkO1woh/UKVAnZ2MOKAZqqQz2mLN57Mm26uLyD0YyjRGnLognepVr+p9L+nwFCIzKxSHV0BJPmB6PMRfSME3RDMmFXIlSVdSGTC5a73HP7TpFPvXnuC5+U/hH244HoIi/chJy9cry0nLx/v+pNfcTEJkA2diL2XqpdqMvZRJ1zbGN2YbQ63WxIfXEBXuRuylTL0UnycvZRLVUJflpVKpoLJc//lQWFlBE1d3UotlAEhEIhq6uBqk3nwQ/vaO3CvRn8A9ExlFS08fPjp1lNyKhwtbqY/c0zfw699Or8ynZ0vyziegVmj6IvfUDXy6t+DGl1t0Mj1akhNr5HmnUqDOTEYc1AxV/GltsTgoClXCGUN5E4g9glGXGk4sJBEdQGqG8tpRk3XNzSREhrkRe+EePTrqQghjL9yja0yQyXq7Dibw3qeHWPR+T7q0DdT7LtjfiR3LR+mVfbXiDGXl1fc3DmvGYoVcSbq8zoSjrIqWvi4k5mmcOlKxiGbeTiw5ZTr15tUsGd1Dve6vJGvwc7Qmr6xSz+h/tWMjOga588r2c2SW/LVJ4OOAkM7z70fY3CvwlzE3Nyc0NJTt27eTlpbGjRs32LBhg55Mr169KC0t5auvviIpKYns7GwuX77Md999h0pluFHyYRGJRIwY05qflsdy9GA8KYk5fPzBTiwszejRV7fRbO57O/j+q8PazyPGtOLcqRR+XnGK1Nt5/LziFOfO3GHEGP282SqVmt3br9BnQFOkUtO3y874ZIZFhNHWxwt/BztebhNNtVLJsVTdcvWrbaIZ11S3mXRkZDjNPd3wsLEmyNGel1pHEeTkwN6kO1qZHfHJhLs4MSwiFE9bGzoF+NCzQQCVCv0sIo9DP4hEIjoObs2hDSe4evIWWXdy2PjZdswtzGj+hG6z6PpPfmVPrcw5hzfFsnf1EYa/PgAnD0eKC0opLiilqkLfc65SqTm37zItuzfV88DX8Mz4bmzZHMuWLbEkJ2cxf/5mMjMLGDmqAwCfL9rOO++s1sqPGtWBjIwCFszfQnJyFlu2xLJ1yykmTtRNUkY91QmZrIx5H2/m9u1sjhy5xtIlvzN6TCejffBMJx+2nM1iy9kskrPLmb8jmUxZFSPbaSZCn++5zTvrNVllxGIRYZ42en8utmZYSMWEedpgba6ZfCw9dI+TCYXcy68gJaecVUfT2HEhhwHRxn8bQXlhJ+Im3RA37orI2QdJlwmI7FxRXt4HgKTDGKS9X9bKS6L7Iw5pjcjRC5GLH5IOY5CEtUN58X7YjlKOOv+u3h+VZajlFZr/q4ynoxSJRHQe0poD609y5cQtMm/nsP7THZhbmBHdVTce1i7czq7lh7SfD26MZc+qI4x6sz/OnsbHQ+ehbUi9mc7+dSfITS/gwqFrnN5zkTF9w7Qy4wdFsPlAElsOJJF8r4j5y8+RmVfGqPupORetieOdL3UZYNbuiefQ2XvcySjmTkYxWw4msWL7DQZ20RmG4wY05OSlTJZtvUZKWhHLtl7j1OVMnhlQ/ybVvbeTGBjSkJYe3vja2vN8s1ZUK5XEpt/TyjzfrBUjw3X98mRoI5q4euBmZUOAvQNTmrYgwN6Rg6m6vT3jGzenvY8/iy+eoVIpx8HCAgcLCySWun0mUhtLnJs1wLmZJgTKNsgT52YNsPHTjJ8W8ybRcdU7WvlbP+zEJsCdVotewKGhP6ETehM6sQ/XFm3Sytz4eivePVvS5O1ROIT70eTtUXh3j+b6V7qJQG0UZ7YjieqBpFk3RC6+SLtPQuTgiiJOk6pU2mUcZgNe1cpLWg1AHNYGkZMXIlc/pF3GIWkUg/L8boO2Jc26o4o/U28YGsD44VFs3nODLb/dIDm1gPmLT5CZXcKoAZrn46Jlp3hn/gGt/K6DCby74CDvvNCeZhEe5BaUkVtQRkmpxoNuYS4lLMhF78/O1gIba3PCglwwNzPt4PrlSipjWwTTMcidIGdbpndtQpVCyf5EXfavGd0a82xbnYNj+/V7OFia8XKHhvg6WNM2wJWx0cFsu6YbQ691akSPMC/mHLhCebUCZytznK309xwJCAgef4G/hRdeeIHvv/+ed999F29vb8aOHctHH32k/d7Z2Zm5c+eydu1aPv74Y+RyOW5ubjRr1uyBMegPYsyEtlRVyVk0by8lxZVENPHmy+9H6a0MZGcVI6qV/qBJlC8fLhzM0m+PsmzxUXz8nJizcLA2d30N507fJjuzmH6DjXuNa9h6KwlzqYTnWjbF1tyMhPxCZh2J1cvh72pjharWYretuRlTW0XhZGlBmVzB7cIiZhw8QWKBTCuTVCBj/omzjGsawcjIcLJLy/kx7hqjmt6mLo9DP3QZEYO8WsG2b3+joqQC/4Y+TJk/Rs8TLMvV1+HUrvMo5UrWfKS/n6PH2E70HKdb2k+8mIIsp4hWvaKMHrtv3xbIZGV8t/g3cnOLCQ314oclU/Hx0Xjbc3OLyMzQeQx9fV35YclUFizYwrp1x3B3d2DGe8O1OfwBvLyc+HH5NBYs2MLgQfPw8HBk3LguTJ7S07gOUW7IyuV8d+AuucXVhHra8MOkxvjcz+GfW1xNpuyPLb2XVyuZsy2JbFk1lmZigtytWPhUOH2jjOeNV8WfRGFph7TtiPs/4HUX+daPoUQTGiaycUJkXytMRiJF2ukZsHUGRTXq/HvIt36E6nac0fb/CF1HtkNeLWfzN3upKKkgoKEPzy8YrTceCnOK9J4BJ3deQClXsmqOvhHZa1xHej+tGQ/+4d5MnD2c3csPse/n4zh7OjL4hR4M6KxbWenbIRBZcRWLN14ht7CCUH9HlnzQFZ/7ntjcggoycnVhbiqVmi9+vkhadikSiRh/TzveGNdcm8MfILqhO4ve7MhXay/x9brL+Hna8vmbnerN4Q+wKyUec4mE8Y2bY2NmTrKsgAVnjuvl8HexstYLl7SWmjO5STQOFpaUK+SkFsuYe+oIKUW6MdwjQGPMf9Cui97xjo+8SdLq3wFwbRlOn8Ofa79r8/lUABJX/c6JiZ9g5emCjb9uEll6J4v9/WbQ5vOpNJo6kPKMfM688q02hz9AzqkbHHnqI6LnTqD5nPGUJGdwZNRcozn8AVQ3T6CwtkPaYSTYOqPOTaV6wxwovj8mbZ0QOdQZk90mILK7PyZz71K9YQ6qZP1sQyJnb8T+kVSvm2m68+/T94lQZMWVLP7pPLkFZYQGurBk/gB8PDUr1rkF5WTk6CYPG3ddR6FUMeerY8z56pi2fHCvhix4p/4VzAex7uJtLKRiXu8Uga2FlJvZRbyx84JeDn8PWyu9LRA5pZW8sfM809o3ZOXIGPLKqth8JZV1tdIeD2msWd36ZrBuBfffzn85+84/hUhtsENHQODxJa9y9YOF/mEm/er4qFVg+WDZo1aB2KyHC9n6J+kf8OCMUv84Ozc8WOYfRp5Y8GChf5iDww1/zfr/mz5lqY9aBcam1O/9//+g+4DvH7UKPDXX9sFC/zAW4/+agf530Hl7+IOF/mGOTa3/NzweZ2ZdML1346/yYYvRDxb6H0QI9REQEBAQEBAQEBD4DyCE+ggICAgICAgICDx2/IUtgAImEDz+AgICAgICAgICAv8BBI+/gICAgICAgIDAY4ewuffvR/D4CwgICAgICAgICPwHEDz+AgICAgICAgICjx2Cx//vR/D4CwgICAgICAgICPwHEDz+AgICAgICAgICjx0qweP/tyMY/gICAgICAgICAo8dQqjP348Q6iMgICAgICAgICDwH0Dw+AsICAgICAgICDx2CB7/vx/B8Bf4V+Fq6f+oVeCJyIxHrQLWUodHrQJQ+qgVQPQYLFrmbEp/1CpQlG32qFVgYxOLR60C3ROuPGoVCGgd/KhV4Km5to9aBdZ/8OifD+MHFjxqFXA5X/yoVRAQ0EMw/AUEBAQEBAQEBB47BI//38+jd5cJCAgICAgICAgICPzjCB5/AQEBAQEBAQGBxw4hneffj+DxFxAQEBAQEBAQEPgPIHj8BQQEBAQEBAQEHjuEGP+/H8HwFxAQEBAQEBAQeOxQqUSPWoX/OYRQHwEBAQEBAQEBAYH/AILHX0BAQEBAQEBA4LFDpfz3efxLS0tZuXIl58+fB6Bly5ZMnDgRGxsbk3UWL17M0aNH9cpCQ0P5+OOPtZ/lcjlr1qzh5MmTVFdX07hxYyZPnoyLi8sf0k8w/AUEBAQEBAQEBAT+Br7++mvy8/N57733AFiyZAnffPMN7777br31oqKimDp1qvazVKpvoq9atYoLFy7wyiuvYGdnx08//cSCBQtYuHAhYvHDB/D8q0N9XnzxRXbv3v2o1fjPkZOTw4gRI7hz586jVkVAQEBAQEDgfxSVSvSP/f0TpKWlcenSJZ5//nnCwsIICwvjueeeIy4ujoyMjHrrSqVSHB0dtX+2trpf4C4vL+fQoUM8/fTTNG3alKCgIF566SXu3r3LlSt/7BfLHwuP/4svvkjfvn3p16/fH6o3f/58LCwe/c/EP05s2rSJc+fO8emnn/4t7S1evJiysjLefvttbZmrqytLly7Fzs7ubznGX2Ht2iMsX76f3NwiQkO9mTFjOC1bhpqUP3s2gQULNpOYmIG7uyOTJ/fkqac6ab8fN24RZ88mGtTr3LkxS5dOM9muWq3m/Kaj3DgQR1VZJR4hPnSc0gdnP3eTdVJO3yRu6wmKsgpQKVU4eDnTbEA7wjs31cr8/MJXlOQWGdTNH9WO6R8M1n7etP4Uq1ceJS+3hAYhHrz57gCiWwSZPPb5cyl8/skukpOycXO355mJnRk+sq2ezIF9V/num32k3cvH18+Faa/0omv3xibbrOmH/T8f48yeOMpLK/Fv6MOQF3vjGWi6H87siePCgStkpeYC4BPiRZ8JT+Df0Ecro1Sq2L/mKHGHrlFSWIq9sy0tezSj3/QRep6OdeuOasdDSIjXQ4+HpKRM3N0dmDy5J6NG1R4Pn3PunPHxsGTJi0bbtOreD5u+wxA7OqNIT6Xk5yXI468blbV/9nWsOvUwKFekpZL/7vPazxat2mM77Gkk7l4oczIp/WU1VedjTZ6Xw4A+OA9/EomLE9V37pL7/Y9UXLthVNbjrVdw6NnNoLzqzl1Sp9wf8xIJzk8Nw75HV6SuLsjvpZP742rKz8eZ1KGGwQ0i6eITjI2ZGclFBay5GUd6WbFJ+Q7egUxp3NqgfPKBzchVKu3nrn4N6BsYjoO5FRllRay9dcmgzoYreay6mEtumZwGzpa809GbFj62BnIA59JKmbgt2aB8+5hwgp0tAdh8LZ+dtwpJLKgEIMLNilfaedHE07rePlCr1dzcdpTbhy9QXVaJcwMfmj/TF3tf0/dFbe6dusbZ77bgFR1OzGujtOXJB86Rcug85bkyAOx93Wk0uJNBfUmLPkjaDkFk64Q69y7y/ctR3zM+HsT+jTEf97FBedUPU1HnpwNgPvYjxAFNDGSUSeeRb5xrUO7RsQmN3xyJa4tQrL1dOThkJne3n6z3nD06NaX1ohdwjAykIiOPq59uJH7JLj2ZgCc7Ej1nAnYNvChJzuTC+8u5+6vpdtftTWT5jpvkFlYQ4ufAjPHRtIwwfg0u3Mzls58vkZJeTGW1Em9Xa0b2CGH8gIZamcR7RXy94QrXUwrJyC1j+vjmPNO/odH26jJyUAQ9OwdjY21OYko+S3++yL0M0/fF3Lc707ihoa7nL2fy8VcnALC0lDJ6SCRtmvvgYG/J7buFLF936aH0+S8il8uRy+V6ZWZmZpiZmf3pNhMSErC2tiY0VPfeCQsLw9ramvj4eLy9vU3WvXHjBpMnT8bGxoZGjRrx1FNP4eDgAEBKSgpKpZKmTXX2gbOzM/7+/iQkJBAVFfXQOv6jhr9CoTBYqvg7sbe3/8fa/l/nr1wbsViMo6Pj36vQn2DPnvPMn/8Ls2Y9RXR0AzZsOM6UKd+ye/csvL2dDeTv3cvj2We/ZfjwDnz66QTi4pL58MP1ODvb0qtXNADffPM8crlCW0cmK2PQoI/o3Tu6Xl0u/RrL5V2n6friIBy8XYjbfJydc37mqa9fxNzK+OTUwtaK6KEdcfJxQSyVkHohkcOLt2PlYI1/VAgAQxdMRl3rF0wK7uWwc87P9Oile+n+/ttlPl2wk+kfDCaqeQBbNp1h2nMr2LLjdby8nQyOm55WwEsvrODJoa35aMFILl1MZf7cX3FysqF7T027ly+l8u6b63jhpZ507RbJoYPXeeeNtaxY8wJNmvqb7Icjm2I5tvU0I98YiJuvCwfWHWfZ9LW8tXwqltbG+yH5SipRTzQmIMIXMzMpR36JZdmMtby59HkcXDX3+JGNJzm1+wKj3hyER4AbaYkZbFq0k5/93Hn66a6AbjzMnDmK6OgGbNx4nGefXcyuXTONjoe0tDyee24xw4e3146HOXM24ORUezw8ZzAeBg/+WPu9wTVt0wm7sc9Rsmox1Qk3sOraF8e35pL/znOo8nMN5EvW/EDpxpW6AokEl48XU3n2uLbILKQhDtOmU7r5J6rOx2LRMgaHadMpmPsmiuR4gzZtO3fA/YXJZH/zA5XXb+LQrzc+82ZxZ9KLKHLzDORzFy8j78fV2s8iiYSAJV9RekxnQLlOGIt9ty5kf/Et1XfTsG4Zjffs6dx75R2qklOM9gVA38CG9A4IY9m1s2SVlzAwKIK3WnTm3ZO/UalUmKxXLq/m3ZN79cpqG/2tPfwYEx7FTzfjSJDl8YRvA96I7gg3foHSfAD2JhSy8HgG73fxobmXDb9cy+eFnbfZPiYcLztzk8feObYhtua6yaSTle45eS69lD5hjkz3ssFcImJlXA7PbU9m25iGeNiaNhYSdp8k8bdTtHx2MLaeLtzafozjC9fQ85NpmJl4PtRQlifj6vp9uIYb3ndWzvY0HtEdWw/N+E49cYnYLzaQ1C+AEEdNu+JGHZD2mIRi7xJU924iie6F+aiZVC2ZBsWG46GGqu9fQF1Vriso1xml1ZsXgETXLyIrO8ynfIXqpnGjW2pjReGVZJJW7aXrlg/rPV8A20BPeuyeR8KPezg2bj7u7RvTbvHLVOYWkbpVc2+4tY2gy4YPiJu5krvbTuA/pANPbJzJ7o6vkHf2lkGbe06mMn9VHDMntyS6oSsb9yfx7Lyj7PqiL95uhrHXVhYSxvQJJTzACSsLCXG3cpm15BxWllJG9tA8nyurFPh52NK7nT8LVj14ElzDkD7hDOwZxjfLz5GRXcKw/o2Y/WYnXpyxl8pK4/fFwsWxSCW6cWlna8EXH/Yg9vw9bdmL41vi72PPVz+epUBWQed2Acx+s/ND6/U48k9m9dm2bRubN2/WKxs2bBgjRoz4023KZDKtsV4bBwcHZDKZyXrNmzenXbt2uLq6kpOTw8aNG5kzZw4LFizAzMwMmUyGVCrVWwV4mHaN8Ycsv9mzZ+Pn5wfA8ePHEYvF9OzZk5EjRyISiXjxxRfp2rUrWVlZnD17llatWjFt2jROnz7Npk2byMrKwsnJid69ezNgwABtm7m5uaxevZrVqzUvn02bNgEQHx/PunXrSEpKwt7enlatWjF69GgsLTXel7orBSNGjNAuqVy+fBlnZ2eefvppWrZs+VDnd+/ePX7++Wdu3bqFWq0mMDCQqVOn4unpiUqlYuvWrRw4cIDi4mJ8fHwYM2aMdpaVk5PDtGnTeOONN9i7dy+JiYl4eXkxZcoUwsLCtMe4desW69evJzk5GTMzM0JCQnjllVewtbVFrVazY8cO9u/fT2FhId7e3gwdOpS2bTWe2OvXr/Phhx/ywQcfsHbtWtLS0rQ6ent7c+TIEe0grhm4U6dOpUuXLowYMYLJkydz6dIlrl69yoABAxg2bBhLlizh2rVryGQyXF1d6dWrF3379tVeh5rNJjXtzZo1Czc3N6ZNm8Ynn3xCYGAgoJmprlmzhtTUVGxtbencuTOjRo1CIpFor7O/vz/m5uYcPHgQqVRKjx49/tINtnLlAYYObc/w4R0AeO+9EZw4cYP164/yxhtDDOQ3bDiGl5cz772nOWaDBl5cvZrKihX7tYaco6P+C2D37vNYWprTu3cLk3qo1Wqu7D5Diyc7Ety2EQBdXxrEqkmLSDx+jciexuv6NA7U+9y0Xxvij1wm6+Y9reFv5aCvT9yvJ7H3dKJFq2Bt2c+rjzN4aCueHKbxkr41fSCnYhP4ZeNpXn6tj8FxN288jZeXI29NHwhAcAMPblxP46dVx7SG/7o1J2jTLoRJU54AYFKwO3HnUlj70wkWfDbaZD8c//Us3UZ1oEkHTT+MenMQH476nIuHr9Gun/F+GP2u/rUa9mp/rpy4SeLF27Ts0QyA1JvpRLYLp1EbjRfF2dORi4evc+1aqrbeqlUHGTo0RjseZswYwYkTN1m//hhvvDHY4LgbNhzHy8uZGTN04+HatbusWHHA5HjYs6dmPBg3/G36DKHiyD4qjvwOQOnPS7BoEo11t36Ublpl2GcV5agrdMaVRYt2iGxsqTi6X1tm3Xsw1dfiKN+peS6W79yEeaMm2PQeTNHihQZtOg0dRNHeAxT/pmkj9/sfsW7ZHMcBfclb8ZOBvKq8HMp1OtjEtEFsa0vR7we0Zfbdu5C/7hfKzl4AoGjXb9i0bI7TsMFkLfzcaF8A9AoIZUfKTS7kaDzFy66d5esuA2nr5c+RNNMTBjVQVF1p8vvegWEcS7/N0fTbAKyLv0QTF088mvREeWo9AD9dyuPJCGeGRmo2vr3TyYeTd0vYeDWfV2O8TLbtbC3F3kJi9LuFvQL0Ps/u6sf+pCLO3CthYCPDySVo7oukvWdoOKgjPq0090XL5waze9pn3Dt1leCupt9PapWKc99vpdGTXciPv0t1uX6feEeH631uPLwbKQfPcyW3Qmv4S9sMQnnpAMpLmvGg2L8ccXBzpNF9UBxZY/rYZUVQVWb8y8pSvY/iiI4gr0JpwvBP33uW9L1nTR6rLg2fH0DZ3RzOvvYdAEW37uLaMozGb4zQGv6RrzxJxv4LXF2gud5XF6zHs1NTIl8ZytExhisWq3bGM7RrMMO7NwBgxoQWnLiUxfp9ibwxJspAPiLYmYhg3TX1dbdl/+k0LtzM1Rr+TUJcaBKiGV+L1l5+6PPr3yOUzbtucjpOc198vfwcq74cQKc2/uw7avy+KC3T90x3aONPVbWS2HNpAJibiWnXwof535zkRoJmQrdx+w3aNPchyN/xoXX7LzFkyBD69++vV2bK279p0yaDSUJd5s+fb/I7tVqNSGR6EhMTE6P9v7+/Pw0aNGDq1KnExcXRpk2betv9o/xhl+/Ro0fp2rUr8+bNIzk5maVLl+Lq6kr37t0B2LFjB0OHDmXo0KGAZnniiy++YPjw4cTExJCQkMCPP/6InZ0dXbp04c033+Stt96iW7du2jYA7t69y8cff8zIkSN5/vnnKS4uZsWKFaxYsUJv80NdNm/ezJgxYxg3bhy//fYbX3/9Nd99953BLKkuBQUFzJo1i4iICGbOnImVlRXx8fGo7nuZ9uzZw86dO3n22WcJCgri0KFDLFy4kM8//xwvL91LZMOGDYwbNw5PT082bNjAV199xddff41EIuHOnTvMnTuXJ554ggkTJiCRSLh+/br2GBs2bODs2bNMnjwZLy8vbt68yTfffIO9vT0RERF6x3j66aext7dn2bJlfP/998ydO5eYmBju3r3L5cuX+eCDDwCwttYtQf/yyy889dRTPPPMM4jFYlQqFS4uLrz22mvY29sTHx/P0qVLcXR0JCYmhoEDB5Kenk5FRYW2z21tbSkoKDDou/nz59O5c2emTZtGeno6S5YswczMTM+wP3r0KP3792fevHkkJCTw3Xff0bBhQ72lq4elulrB9et3efbZXnrl7ds34uJF4w/OS5dSaN++kV5Zx44RbNlyErlciZmZ4ct+y5aT9OvXEmsT3mqAkhwZ5bJSfJvpjHGJmRTviACy4u+ZNPxro1arSb96G1lGPm3HGoZdACjlShKPXaFp/7baB4i8WsHNG+lMmNxFT7ZtTBiXL6UaaQUuX75L25gwvbKY9mFs33pO2w9XLqUy5umOejLt2oexds0Jk+dQkCWjpKCUsBa6fpCaSwluEkDqjTSThn9dqqvkKBUqrO2stGWBjf04vfsCuWn5uPm6kJGcxZ3r9xj//khNnfvjYcqUvzYeOnSofzxs3hxL374mxoNEijQolLJdv+ifz7U4zEIjDOWNYNW5F9XXL6HKz9GWmYU0onzvNv02r1zAuvdgwwakUizDQijcuEWvuPzCRSwjHy4EwaF3D8ovXkaRo1uhEJmZoa7WNzxU1dVYNW5Ut7oWNysbHC2suJafpS1TqFXEF+YS6uhar+FvKZGyqGM/xCIRd0tkbEm6xt0SGQASkZhAOyd239b36l7Lz8LTU2MIy5UqbuSUM6mFfmhEjL8dlzJNGLP3GbEhgSqFigbOljzbyoPWvqbfHZUKFQqVGgdL06/SslwZlUWleDRuoC2TmElxbRhIfmJavYb/zW1HsbCzIahLNPnxd+vVW61SkXbmBsoqOc3c7t87YikirwaoTumPB1XKJcS+9Y8H88lfIJKaocq9h/LkL6hSr5qUlUR1R3njOMir6m3zYXFrG0HG/gt6Zem/nyNsYh9EUglqhRK3dhFc/1L/vNL3nSfylaEG7VXLlVxPKWDKEP3x2r6ZJxfjTa961OZGSgEXE/J4ZdQff1/VxsPNBmdHKy5dz9aWKRQqrsfn0jDExaThX5fuHYM4cfYeVdVKAMQSMRKJmGq5Sk+u+v73/1b+SY//Hwnr6d27N+3bt69Xxs3NjdTUVIqKDMNzi4uLja4EmMLJyQk3NzcyMzMBcHR0RKFQUFpaqmfPFhcXEx4ebqoZo/xhw9/FxYVnnnkGkUiEt7c3d+/eZffu3VqjvXHjxgwcOFAr//XXX9OkSROGDRsGgLe3N2lpaezYsYMuXbpga2uLWCzGyspKL3xkx44ddOjQQevN9/LyYsKECcyaNYvJkydjbm58qbZz58506KDx+D311FPs3buXpKSkB8Y/7d27F2tra1599VVtCEztWKydO3cyaNAg7YUfO3Ys169fZ/fu3UyePFkrN2DAAKKjNd7AESNG8Prrr5OVlYWPjw/bt28nODhYT75mBaWyspJdu3Yxa9Ys7QqBh4cHt27dYv/+/XqG/6hRo7SfBw0axIIFC6iursbc3BxLS0uToTjt27ena9euemW1DXN3d3fi4+M5deoUMTExWFpaYm5ujlwurze05/fff8fFxYVJkyYhEonw8fGhsLCQtWvXMmzYMG0MdkBAAMOHDwc013Pv3r1cvXrVpOFvLP6uZh5TWFiKUqnCxUU/3MvV1Z7cXONxknl5xbi66su7uNijUKgoLCzF3V3/prxy5TYJCRl8/PE4k+cOUF6o8X5ZO+obCFaOtpTej701RVVZJT899wUquRKRWETHyX3xa9bAqOztc7eoKquk4RNR2rJCWTlKpQpnF/1ju7jYkp9XYrSd/LwSXOrIO7vYolCokMnKcHOzJy+v1ECmvjYBSgo0/WDrpF/PzsmGwhzDB6Ep9qw4hIOLHaHRugnEEyNiqCyr5NPJ3yESi1GrVPQe/wT9+7cCao8H/X0nLi525OUZP3ZubjEdOhjKmx4Pd0hMND0exHb2iCQSVEWFeuXKIhnmjoYhVwb1HZ0wb9aSou8WGpSrimR6ZaoiGWIHQw+zxEGjg6JQX15ZWITUyfGBOkicnbBp3YLMeZ/plZedv4jT0EFUXL2GPCML6+bNsG3XBurJJOFgrlmZLa7juS+ursTF0nRau8yyYn68fpZ7JUVYSc3oGRDK+6278sGpfWSXl2Jnbo5ELKaoSr/douoqRPYa72thhRKlGlys9V9xLlZS8suNh1K42kiZ9YQvEe5WVCvV7IovZPK2ZFY82YCWJvYFfBGbibutGW39TE8OqmSa+8LCQV/Gwt6G8nzT90Vewl3uHL1It4+fNykDUHQvm8MfLkclVyC1NKftKyNpkHs/7MTaHpFYgrpUpldHXSYDW+NjUl1aiHz3t6iykkFihqRJF8zGzKF6zXtG9wWIvEMRuwci3/1tvXr+Eaw8nanI1r+PKrMLEZtJsXR1oCKrACtPZyqNyFh5Gp5XYUkVSpUaFwdLvXIXB0vyZKZXlgA6P/srBcWa+tOGN9auGPxZHO01OsiK9Y8rK67CzaX+vSI1hAY5EeDrwOKV57RllZUKbiXlMWJAI9IyiykqqqRjG39Cg42vRAn8Mezt7R8qvDwsLIzy8nKSkpIICdGsDCUmJlJeXv6HDPSSkhLy8/NxctKM5+DgYCQSCVeuXNGuDhQWFnL37l3GjBnzh87lDxv+oaGhessVYWFh7Nq1S+u1btBA/6ZIT083CLUJDw9n9+7dqFQqkymIUlJSyMrK4vjx43rlarWanJwcfH19jdYLCNAtxVpaWmJpaWl09lWX1NRUGjZsaDTuvby8nMLCQho21PeQhIeHk5qq71X199fFYdYYy0VFRfj4+HDnzh3atWtn9PhpaWnI5XLmztXfGKVQKAgK0t+kWfscawZFcXExrq6u9Z5j3WsDsG/fPg4dOkRubi7V1dUoFApt+M7Dkp6eTlhYmN64CA8Pp7KykoKCAq1etfumRvf6ro2x+LtNm17Q+1x36UyznGZaV2PymnJD2c2bYwkL86ZpU/3+Tzh2laNLdZvM+k1/6n7jdRpQq403XAtzKwtGfPoc8spq0q7eJnb1Puw9nAzCgABuHbyIf/MQbJwNN1UbnpdhWZ0KdXStOQWRSRl1nePEHbrKlq90WbUmzn3qfht1mlYbKzXO4U2xXDp8jec/fRozc929ePnodeIOXmP0u0PwCHAjIzmbHT/sY1uYH0OG6O4pY+dcXz+Y+s74eDhJaKg3TZsG1n8SdZZeRYgMyoxh2bEH6vJSqs6fMtaooYL1tVn3O5FhE8aw79kNVWkZpbFn9Mpzv1uGx2vTCFyuCb2QZ2RSvO8A9j11q7TtPP0ZH6Fb1fn84gmjqoAIdT3KJBcVkFykW1VMlOXxYdsedPcLZW38Rd0pGrRqrFSf+r4NcrIkyElnGEZ52ZBVImf1xVyjhv+KCzn8liBjxZMNsJDq3mN3T14hbqXu+dD+jdG1FdTTxtTIlFdUce77bURPGoCFXf3GoJ2XK90/fh55WSXp525wfumvJD/hQQPH2qtSDz9+1AXpKAvStZ8V6fGI7F2Rth2C3IjhL2nWHVXOHdQZhpvg/woGIQw1N2WtcmMy9d0WRp8PD9Bj7dzulFUquJyQx6K1l/H3sqV/h8AH1NLRqa0/zz+tuy8+/vK+TWPsFn3IqI1uHYNITSsi8bb+xOerZWeZNrEVKz4fgFKpIiVVxvEzd+ncLsBES48//7Y8/r6+vkRFRbFkyRKmTJkCwNKlS4mOjtZzJr/66quMHj2a1q1bU1lZyaZNm2jbti2Ojo7k5uayfv167OzsaN1aE8JrbW1N165dWbNmDXZ2dtja2rJmzRr8/f3/cNTE377ztm6WHWNxTQ8Tk6RWq+nevbs23rw29Rm4NTHlNYhEooc63p/dxV333GpPHGq+qzm+qVWK2jLTp0/H2Vl/hl53MlL7HGuOoVLpL+8Zo+61iY2NZfXq1Tz99NOEhYVhZWXFjh07SEz8Yw/wh40xMzapqq+usfg70BgkTk62SCRiA29ufn6JgVe/Bs1qgL58QUEJUqkYxzre+oqKanbvPsfLLw8waCewVRgeoc9pPysVGg9ieWEpNk46o7yiqMwgRr8uIrEIBy/N9XYN8qQwPY+L204YGP4luTLSrt6m15v6eyKcHK2RSMQGnviCglKDVYAaXFztjMpLpWIcHDVGhquroXe/IF+/zYi2YfiH6zLvKO5vgi0pLMW+lue9VFaGnVP9/QBw5JdTHNpwgmcXjMU72EPvu13LDvLEyBiiumiyCnkFeVCYU8TSpb8zZEi7WuNBf7UnP7/EYFWoBs3KhqG8qfGwZ895o+OhBlVJMWqlErGj/v0rdnAw8Ngbw6pzTypOHII6m15VskLEDvpeTLG9A6pi/Zc+gLJIo4PUWV9e4uiA4iE2gDn07k7xgcOg0NdBWVRMxux5iMzMkNjbocgvwHXyM8izdOEKF3MzSD6lM9jN7jt1HCws9eL17c0tKK5++JAQNXC7uBBPG801KamuRqlS4Wih7721N7dAXa65v52sJEhEGHj3CyoUBqsA9dHU05pd8Yb9vCouhx/PZ7NscAPCXa30vvOKDqd7iM4xpbp/X1TJSrFy1N0XVcXlBqsANZTlFFKeJyP28/Xasppn5dZn5tDzk2naDb1iqUT7f6dgbwpuZ7D2ZiEz23lCeTFqlVKTzadW+yJrByiTPXQ/qNITkDQ2sklUao4koiOKY+seuq2HoSKrAGtP/fvI0t0RlVxBZX6xVsbKiEzdVQAAJzsLJGIRebIKvfL8okpcHC0N5Gvj66G5RuEBjuQXVfLtpmt/yPA/eymDhJR87Wczqeb97ehgSWGR7r5wsLegqLj+1QcAc3MJHVr7s+HXawbfZeWW8f7CI1iYS7C2MqOwqJI3nm9rpJV/D/9kqM8/xcsvv8yKFSu0P77VokULJk2apCeTkZFB+f29VWKxmHv37nHs2DHKyspwcnIiMjKSV199FSsr3fPlmWeeQSKR8MUXX2h/wOudd975Qzn84U8Y/nWNwsTERDw9PU0e2NfXl1u39GMxExIS8Pb21taRSqUGhmtQUBBpaWl4enr+URX/FAEBARw9etRothtra2ucnJy4deuWXshNfHy8dinnYY9x9epVoxtafX19MTMzIy8vT+8YfxRjfWmKW7duER4eTq9eurjo7OxsPZmHac/X15czZ87oTfLi4+OxsrIymMT8EeqLvzM3lxIZ6c/Jkzfp0aO5tjw29ibdujUzWicqKpjDh/Xz3Z44cZPGjQMM4rl/++081dUKBg403FRjbmWhl6lHrVZj7WhL2pUU3II1+z2UciUZN1JpO7a7Qf16UatRyg1jMm8duoSVvQ0BLfRTU5qZS2kU4cPp2ES9VJunYxPp0tX4OGrWzJ+jR27qlZ2KTaRRpK+2H5pGBXD6VCJjn+lYSyaBZlG1VtSsLfQy9ajVauycbUmIu41PiKYfFHIlKVdT6TvJ+L6FGo78EsvBdSeYPG80fmGG6c7kVXKDSbZYLEKlqplUa8ZDbOxNevSI0srExt6ka9eHHw8nT94gMtLYeLhAdbWCAQMM00xqUSpQ3E7EvHFzvVSb5o2jqbpgzIuvw6xRE6SePsiO/m7wnTzpJuaNoynf+6uuzSbRyBNvGsiiUFCZkIR1dBSlJ09ri62joyiLrX9zpVXTxpj7eJOxd79JGbVcjiK/ACQSbDvEUHJMt+ejUqmgskJ/06esqoLGLh568fnhTm5sSvxjeaf97RxJK9UY9Uq1ijslhUS6eGg3DQNEunigjj8EgJlETIS7NafuldCtgS5k69TdEp4Ifvg421u5FbjZ6D+DVsblsPRcNj8MCibSw9Abb2ZloZepR61WY+lgS/a1FBwDNfeFSqEk79YdGo80/nyw83Kl+zz91c3rmw+hqKym2djeWLvUcw7qWhmQVArUmcmIg5qhiteNB3FQFKqEMyYaMETsEYy61NCglkR0AKkZymtHjdT68+SevoFff/3VcZ+eLck7n4BaoXk+5p66gU/3FtyoFefv06MlObGGqXPNzSREBjsTeyWLHm38tOWxV7Lo2srHQN4UajUGMfQPorJSQVadTD0FsgqaRXhw+64MAKlERGS4Gz/9YnofRQ3tW/liZibm6CnTez6qqpVUVSuxsTajeWMPk3IC/wy2tra8/PLL9crUJLEBjVO45se+6sPc3JyJEycyceLEv6TfH/4Br/z8fFavXk1GRgYnTpzgt99+M+qVr6F///5cvXqVzZs3k5GRwZEjR9i7d682qw9oNkTcvHmTgoICios1s/lBgwZpNwLfuXOHzMxMzp8/z4oVK/7EaT6Y3r17U1FRwZdffklycjKZmZkcO3ZM+4MLAwcOZPv27cTGxpKRkcHatWu5c+dOvedel8GDB5OcnMyPP/5Iamoq6enp7Nu3j+LiYqysrBgwYACrV6/myJEjZGVlcfv2bfbu3cuRI0ce+hju7u7k5ORw584diouLDWLka+Pp6UlycjKXLl0iIyODDRs2kJSUpCfj5ubG3bt3ycjIoLi4GIXCMD62V69e5Ofns2LFCtLT0zl37hybNm2iX79+f3gm+keYMKE7mzefZPPmkyQnZzJv3iYyMwu1edgXLdrG22/rUiWOGtWJjIwC5s//heTkTDZvPsmWLSeZONEwj/rmzbF07x6Fk5Pp2N0aRCIRTfu1IW7rCVLO3CL/bg6HFm9HamFGaEedMX7w6185vfag9nPc1hPcu5xMcXYhhel5XN55ioSjVwjtpJ8fW61Sc+vwZcK7NEUsMezPsc90ZNuWc/y69Rwpydl8tmAnWZkyht3Py//1F7/x/vSNWvlhI9uSmVnIZwt3kpKcza9bz/HrlnM8PV6X//upse05HZvIyh+PcDslh5U/HuHs6STGPN2h3n7oOLg1hzac4OrJW2TdyWHjZ9sxtzCj+RO6flj/ya/sWaHrh8ObYtm7+gjDXx+Ak4cjxQWlFBeUUlVRrZVp1DaUQxtOcPNMIgVZMq6evMWxrWf0jPzx47vdv6axJCdnMn/+L/fHg2bysmjRr7zzziqt/KhRHe+Ph80kJ2eyZUssW7bEMnGioTG2ZctJundv9sDxUPbbNqy69MKyU08k3n7YjnkWsYsb5Qf3AGA7Yjz2z71hUM+qcy+qk26hTDPckF3++3bMm0Rj3X84Ei9frPsPxzyyOWW1JgK1KdyyHYc+PbDv1R1zf1/cnp+Embsbsl2/AeA68Wk8337VoJ5Dnx5U3Iyn+o6hQWHZMAzbDu0w8/TAqnEEvvNng1hE4cat9fbH76mJ9A9qRAt3H3xs7ZnSuBXVSiWnM3XHeLZxa4aH6Mb84OAIGrt44GZlg7+dI5MiW+Fv58jhe7oc+3vvJNDZJ4iO3kF42dgxOjwKF0trlNd0k5ano1zZcr2AbTfySSmoZOHxdDJL5YxorNkH8GVsJjP26fRYcymXg8lFpMqqSMqv5MvYTPYnF/FUExetzIoLOXxzKos53fzwsTMnr0xOXpmc8no2UIpEIkJ6tyF+53HSz9+k6F4O55f+isTcDL92uvM+98M2rm3UZFKSmEtx8HPX+zO3tkRqaY6Dnzvi+17ja5sOkhefSlmujKJ72Vz75SC5N+/QN0g3MVCc2Y4kqgeSZt0Qufgi7T4JkYMrijhNulRpl3GYDXhVKy9pNQBxWBtETl6IXP2QdhmHpFEMyvOGP5YpadYdVfwZqDC99wdAamOJc7MGON/fv2Qb5IlzswbY3P+dkxbzJtFx1Tta+Vs/7MQmwJ1Wi17AoaE/oRN6EzqxD9cW6YylG19vxbtnS5q8PQqHcD+avD0K7+7RXP9Kf8NvDeMHhLP5YApbDiaTnFbE/JVxZOaVM6qnxpmyaO0l3vlaN0Ff+1sCh86ncyezhDuZJWw5lMKKnbcY2ClQK1MtV3LzdiE3bxciV6jILqjg5u1CUjPr749d+xMZ1r8hbaK98fex56VJramqVnLsjG48vjy5FWOHGv5uSveOQZyJS6ekrNrgu6hID5o39sDd1ZpmEe7MfbsL6Vn16/K482/7Aa9/A3/Y49+pUyeqq6uZPn06YrGYPn366GXjqUtwcDCvvfYamzZtYsuWLTg5OTFixAi6dOmilRkxYgTLli3jpZdeQi6Xs2nTJgICApg9ezYbNmxg5syZqNVqPD09TcbI/1Xs7OyYOXMmP//8M7Nnz0YsFhMYGKjdjNGnTx8qKir46aefKCoqwtfXl3feeUcvo8+D8Pb25v3332f9+vXMmDEDc3NzQkJCtBuGR44cib29Pb/++ivZ2dnY2NgQFBTEkCGGqSlN0aZNG86cOcOHH35IWVmZNp2nMXr06MGdO3f48ssvEYlEtG/fnl69enHxoi6Otnv37ty4cYN3332XyspKbTrP2jg7OzN9+nTWrFnDW2+9ha2tLV27dtVmdvqn6Nu3JYWFpXz33W5ycooJC/Nm6dJp+PhoXtS5uUVkZupCD/z8XFm6dBrz5//C2rVHcXd34L33RhrkZL99O5sLF5JYsaL+GXttogbHoKiWc3zZHqrKKnAP9aH/B2P1VgZK84oQiXUPG3lVNceX/UZpQTFScymO3q50e3kIIe0j9dpOu5JCaV4RDbs2xxi9+jSjSFbO0u8PkpdbTEioJ9/8MAHv+zn883JLyMqUaeV9fJ355vuJLFq4k03rT+Hmbs/bMwZqU3kCRDUPZP6nT/HdN/v47pt9+Pk7s+CzMfXm8AfoMiIGebWCbd/+RkVJBf4NfZgyf4zeyoAst1ivH07tOo9SrmTNR/r7OXqM7UTPcZrwgsFTe/P76iNs/fY3SmVl2LvY0bZvtF7oTd++LZHJyli8eDe5ucWEhnqxZMmLeuMhI0M3Hnx9XVmy5EUWLNjMunU142GEifGQzPLlDx4PVWeOUWJnh+2Q0Zof8Eq7g+zTmdosPWJHZySu+plmRFbWWLZqT8maJUbblCfepOjbBdgOfxrbYeNQZmdS9O18ozn8AUqPniDH3g6XsSORODtTfSeV9PfmaLP0SFyckLrr38Nia2tsO8SQ+90yo22KzM1wGT8GMy9P1BWVlJ09T+bCL1CV1Z8hZ8+dW5hLJDzdKBprqTkpRfl8GndUL4e/s6U1qlohf9Zm5kyIaImDhSUVCjmpxTLmnTtMSrHu2p3NvoetuTmDGkTgaGFJemkRn188zpslugwtvcOckFUq+eFsNrllCkJcLPluQBDe9pqQy9wyOZmlOuNJrlSz6GQGOaVyLKRiQpwtWTwgiE6BulCxjVfzkKvUvP6b/gTthdYeTG1jenU6rF97lNUKLq3aQ3V5Bc7BvnR4e5zeykB5flH9+3KMUFVUyrkftlEpK8XMygJ7fw86vDWGdlnntTKqmydQWNsh7TASbJ1R56ZSvWEOFGvGg8jWCZFDrfBZiRRptwmI7JxBUY069y7VG+agStbPsiNy9kbsH0n1upkP1NO1ZTh9DuvSvrb5XJMlLnHV75yY+AlWni7Y+Ovui9I7WezvN4M2n0+l0dSBlGfkc+aVb7WpPAFyTt3gyFMfET13As3njKckOYMjo+YazeEP0Ld9ALKSahZvvk5uYQWh/g4smdEZn/s5/HMLK8nI06W1Vanhi7WXScspRSIR4+9hyxtjmmlTeQLkFFYw5C3d702s2HGLFTtu0SrCnTVzTK9ybvstHnNzCc+OjcbWxpzElAI+XHRML4e/m7M16jqLC94etkSEuTH7M+MrLNbWZowb2gQXJytKyqo5fSGdtVuvsnbxw9sQAv/7iNR/IAno7NmzCQwMZPz48f+gSgIC9XH4USvAl1fr/9nt/w+ebfTgmPl/mgNppQ8W+ocZEGD6VxD/v8gZ9/f8SvZfoSj7z//S5N/Fx2+NfdQqsCyh/jzb/x/Mbj34UavAzP0bHyz0D7P+g0f/fBh/ueODhf5hnvwi8sFC/zDbVgx/1Cr8aYZvq39V8a/wy5An/7G2H2f+uTgMAQEBAQEBAQEBAYHHhr89q8/jytKlSw1Sg9bQsWNHnn322f9njQQEBAQEBAQEBEzxb0vn+W/gDxn+s2fP/ofU+OcZOXKk3g+L1aZ2uiQBAQEBAQEBAQGB/0X+Mx5/BweHP/RzyQICAgICAgICAo+O/3L2nX+K/4zhLyAgICAgICAg8O9BMPz/foTNvQICAgICAgICAgL/AQSPv4CAgICAgICAwGOHUtjc+7cjePwFBAQEBAQEBAQE/gMIHn8BAQEBAQEBAYHHDiHG/+9H8PgLCAgICAgICAgI/AcQPP4CAgICAgICAgKPHYLH/+9HMPwF/lWUTJ33qFWg/YejH7UKWOUWPWoVOJ7l+KhVoH/Kr49aBZy7OD5qFXARP/qXY88g+aNWATOXsEetAh9L4x+1CjC+26PWgPEDCx61CqxqdvxRq0D2F+0ftQoCAnoIhr+AgICAgICAgMBjh+Dx//sRDH8BAQEBAQEBAYHHDpWQzvNvR9jcKyAgICAgICAgIPAfQPD4CwgICAgICAgIPHYIoT5/P4LHX0BAQEBAQEBAQOA/gODxFxAQEBAQEBAQeOwQPP5/P4LHX0BAQEBAQEBAQOA/gODxFxAQEBAQEBAQeOwQPP5/P4LHX0BAQEBAQEBAQOA/gGD4CzwUL774Irt379Z+HjFiBGfPnn2EGgkICAgICAj8L6NSiv6xv/8qQqiPwJ9i6dKl2NjYPGo1MOs0APPuwxE5uKDKvEPVL9+jTL5muoLUDPO+YzFr1Q2RvRNqWR5Ve9ehOPW7oWiLLlhNeg/55ZNULpldrx5qtZqtK05weMdlykoqaRDhxfjXe+Ib7GayTlpKLluWH+d2fBZ5WcWMfbkbvUe00pOpKK9i87LjnD+WQHFhOYFhHox9pTstQx315Nb9epnlG+LIzS8jJMiFGdM60bKpj9Hj7juWxIbtV7iZlEe1XElIoDPTxrelY+sArcymXdfY/vtNEm/nAxAZ5s5rU2Jo2sjzgf0Q/+tRUo9cQF5WiVMDH5qM64u9r3u99WpIP32NC99vwTM6nNavjDIqk7jzODc3HyK4ZxsYUqcfjt5lxf475BZVEeJly/ThDWkZ6mS0nQtJhSzalkBKdhmV1Uq8na0Y0dGX8d0CtTJypYqle1PYfjqDbFkVQR7WvDEkjI6Rpq/rhou5rDyXTW6pnBBXS97p6kcLX1ujsmfvljBxY6JB+Y6JEQS7WGo/748v5JuTmdyTVeHnaMHLHbzpHuZoUK+G9XE5rDxbo4MV73bzpYWfnUn5GuLSShm/Lp4QNyu2Toio1Q9qlp3OZMe1fLJL5AQ6W/J6Fx86BjvU255arebouqPE/R5HZWklPmE+9HmhD+4BpsfDzdibnNh0goLMAlQKFc7ezrQb0o6mXZtqZVKvpRK7JZbM5ExKC0oZ8d4IGrZraNDWuv1JLN8VT66skhAfe2Y8HUXLhsav3YVbeXy24QopGSVUVinwdrVhZLdgxvcN08rsO5vGku23uJtdikKpIsDTlgl9wxnUMcBomwDrfk9k+Y5b5MoqCPF1YMb45rRsZPz8L9zK5bO1l0lJL6aySom3mzUju4cwvn+4VmbTgWS2H7tN4r0iACKDnXntqaY0DXExrcP2qyzfeJHc/HJCAp2Z8WIHWjb1Niq771gyG3Ze038+PNOajq38jcrvPpTIGx/to1v7IBbP7Wtah72JLN9xk9zCCkL8HJgxPpqWESb64WYun/18SdMP1Uq8Xa0Z2SOE8QN01zjxXpJhi0IAAJ2+SURBVBFfb7jC9ZRCMnLLmD6+Oc/0NxwDNXh0bELjN0fi2iIUa29XDg6Zyd3tJ03KA3h0akrrRS/gGBlIRUYeVz/dSPySXXoyAU92JHrOBOwaeFGSnMmF95dz99f62wWY1CaYgY19sbeUcj2riEWHb3G7oKzeOrbmUp6LCaFziDt2FlIyiyv45ngip+7kATCkiS9DmvriZWcFwO2CUlacSXmgLo8zQqjP349g+P/HUSgUSKV/fBg4Ojr+/cr8QaQtOmMx7AWqNnyDMuU6Zh36YfXiPMrmTkJdmGu0juWk9xHbO1H58yJUuRmI7BxBIjGQEzm7Y/HksygSrzyULrvWnuG3jed47r1+ePo5s311LAte28in66dgZW1htE5VlQI3b0daP9GQn785aFTmxwW/kZaSxwsf9MfR1Y6Tv19jwasb6LJqLB5uGmNyz6EE5n97jJmvPkF0E2827rjKs29vZ9fqsXh72Bu0ef5yOjEt/XltSgx2thZs/e0GU2fsYOP3I4kI1byIz15Ko1+3MJpHemNhLuHHDReY9OY2dq0apz2uMZL2nCRl7ymipgzG1tOFhB3HOPXpGrotmIbUyng/1FCeJ+P6hn04hxk3MAAKU9JJPRKHvZ+HwXd7zmey4JdbfDAqgugGjmw8fo/nFl9g58z2eDtbGchbWUgY08WfMB87rC0kXEgqZPa6G1ibSxjR0Q+Ar3YksvNMJnPGRhLsYcOJG3m8tOQS695qQ4SfYd/+dquABYfSeL+HH819bPjlch7Pb05ix8QIvOzNTZ7XrkkR2JrrxqGTte6evJReyps7bzOtgzfdQh05mCjjzZ0p/PRUOE29DSffv90sYMHBND7o6U9zHxs2XcrjuV+S2DE5Eu96dCipUjJj923aBNiTXy7X++7r4+nsul7Ah70DCHKx5OTtYl7ZlszasQ1p5GFtss3YLbGc/vU0g14bhIu3C8c3HufnD37mxR9exMLEfWFla0XHER1x8XNBIpWQeDaR7V9ux9rBmpAWIQBUV1bjEexBVI8ofpn3i9F29py6x/yfLjFzYjTRYa5sPJjCswuPs+vT3ni7GupsZSlhTM8Qwv0dsLKQEhefx6zlF7CykDKyWzAADrbmPD+4EcHedphJxRyJy2TGknM421vQsZnhpHhP7F3mr7rIzMktiA53ZeOBZJ6dd4xdX/TB29Xw2llZSBnTK5TwAEesLCTE3cpj1rJzWFlKGNldc+5nb+TQr30AzcNdsTCT8OP2m0z66Ai7Pu+Dh7Phee05nMj8xSeY+Upnoht7snHndZ59dye7Vo7G28NwMnj+SgYxLfx4bVJbzfNh702mvrebjYuHERGqP2lKzyrmkx9O0rKJl9FroNXhZCrzV8Uxc3JLohu6snF/Es/OO8quL/ri7WasHySM6RNKeIDT/X7IZdaSc1hZShnZQ9MPlVUK/Dxs6d3OnwWr4uo9PoDUxorCK8kkrdpL1y0fPlDeNtCTHrvnkfDjHo6Nm497+8a0W/wylblFpG49DoBb2wi6bPiAuJkrubvtBP5DOvDExpns7vgKeWdvmWx7bItARjUP4KP917knK2N8q2C+HNKCp346SblcaVx/sYivnoymsLya93ZfJre0Cnc7S8qrFVqZnNJKvj+ZRJqsHIC+jbxYOCDqgecq8N9CCPX5H2P27NksX76c5cuXM378eCZOnMiGDRtQq9WAJmRny5YtLF68mGeeeYYffvgBgNOnT/P6668zevRoXnzxRXbu3FnvcWqH+uTk5DBixAjOnDnDhx9+yNixY3nrrbdISEjQqxMfH8+sWbMYM2YML7zwAitWrKCysvJPn6t516HIY/cij/0NVdZdqjZ/j0qWi1mnAUblJREtkYY2pXzxeyjjL6IuyEaVGo8q5Ya+oEiM5fjpVO/+CXVe1gP1UKvV7P3lHIOejqFV53D8gt147r1+VFfJid13w2S9Bo28GP1iV9p1j8DMzHDyUV0l59zReEZN7ULDKH88fZ0YOqkjbl4OrN+um5Cs+iWOoX0jGd6/MQ0CnJnxUmc83W1Zv/2q0ePOeKkzk59qSZOGngT6OvH6lPYE+DpyOPa2Vuaz93szenAzGoW6ERzgzNw3u6FSw6m4e/X2Q8rvZwgd2BHvlo2w93Wn+ZTBKKvlpJ02rou2rkpF3A9bCR/SBRt34x56RWU1cT9spdnEAZjZWBp8v/pgKk/G+DK8gy8NvGyZMaIRnk6WbDhmXOcIP3v6tfIi1NsWHxcrBrbxpn2EC+eTCrUyO85k8mzvYDo3dsPPzZqnOvvTIcKVVQfuGG3zp/M5PNnEhWFNXWngYsW7Xf3wtDNjwyXjE9EanK2luNqaaf8kYp2Xa82FHNoF2jOlrSfBLpZMaetJG3971lzIMdrW6nPZDG3qwrBmrjRwtWJ6dz+87MzZeLF+HT7cm0rfRs5E+RgaYjuvFzClnSedGjjg52jBqOZutA+yZ9XZbJPtqdVqzmw/Q8eRHWkU0wj3QHcGvT4IeZWca0dNr8oFNg2kYUxD3PzccPZyps2gNngEeXDvhu46hrYMpeu4rjSKaWSynVV7EhjaJYjhTwTT4L6339PFmvUHko3KRwQ60T/Gn1BfB3zdbBjYIYAOTT25EK/rtzYR7vRo5UMDH3v8PWx5uk8o4f4OxMXnGddh1y2Gdg1meLcGNPDVeLk9Xa1Zvy/JuA5BTvTvEEConwO+7rYM7BRIh2ZeXLip0+Gzl9sxulcojQKdCPaxZ+7zrVCp1Zy6avxarPrlEkP7NGJ4vwjN82FaRzzd7Vi/w/g1mDGtI5NHRdOkoQeBvo68PrkdAT4OHD51R09OqVTx1rwDvDS+Nb7e9a/8rNoZr+mH7vf7YUILzbXYZ7jaBRAR7Ez/DoG1+iHIoB+ahLjw9tPN6dchwOjzsy7pe88S98FKUredeKAsQMPnB1B2N4ezr31H0a27JC7fQ+LKvTR+Y4RWJvKVJ8nYf4GrC9ZTFH+PqwvWk3EwjshXhtbb9ojm/qw+d5ujyTmk5Jcxd/81LM3E9Ag3vaLaP9IHewsz3tl1mauZRWSVVHIlQ0ZSXqlW5uTtPE7dyeOerJx7snKWnEqmwsRE4t+CSiX6x/7+qwiG//8gR48eRSKRMG/ePCZMmMDu3bs5eFDnUd6xYwd+fn4sXLiQYcOGkZKSwhdffEFMTAyfffYZw4cPZ+PGjRw5cuQPHXfDhg0MGDCATz75BC8vL7766iuUSs1D5+7du3z88ce0bt2azz77jFdffZX4+HhWrFjx505SIkXsH4by5gW9YuXNC0iCI41WkTZth/JuAuY9RmAzbz02s1Zi8eSzYKbvBTXvOxZ1qQx57N6HUiU3o4ii/DKatA7UlpmZS2kY5UfitfQ/dl61z0WpQqVUY2auvyJjbiHlwtUMAKrlSq7H59C+zjJ8+1YBXLye+VDHUanUlJVX42BnaEzXUFGlQKFQ4mBn2mtfniujqqgU98YNtGUSMymu4YEUJKbVq0P8r0cxt7MhoHO0SZkrP+3Bo1kobpHBBt9VK1Rcv1tM+wj9cIf2jVy4mCKr99g13LhXzKUUGa1CnfXatTDTf0xamIm5UGtyUINcqeJGVjkxgforATGB9lxOr38Jf/hPt+jy3RUmbUzk7N0Sve8uZ5QRE6jvmW0fZMelDMM2q2t0CKqjQ5A9l9JLDeRr2HYlj7uyKqZ2MB7+Ua1QYSGp0w9SMXFpptuUZcsoLSwluLnueknNpAQ0DuDeTdMTyNqo1WpSLqWQn5aPf2PTK0HG9L1+u5D2TfUNqfZNPLiYYNxIr8uNO4VcTMijVSPjoUFqtZpT17K5nVlCSyMy1Qol11MKaV9nJaB9U08umpgoGOhwu5CL8Xm0MhESA1BRpUShUONga7iaUy1Xcj0hl/Yt6zwfWvpx8fqDnRpw//lQITe49xevOYezgyXD+kaYqFlLh5QCw35o9gf6IaVAcy3q6Ye/G7e2EWTs13+/pP9+DteWYYikmomGW7sI0vef15fZdx73GOPvIABveytcbSw4ezdfWyZXqrmUVkgTL0eT9ToEu3Etq4g3uzRk15RO/DymHU+3CkRswn4Vi6B7mAeW0gdPigT+WwihPv+DuLi48MwzzyASifD29ubu3bvs3r2b7t27A9C4cWMGDhyolf/6669p0qQJw4YNA8Db25u0tDR27NhBly5dHvq4AwYMIDpaY7iNGDGC119/naysLHx8fNixYwcdOnSgX79+AHh5eTFhwgRmzZrF5MmTMTc3fGnJ5XLkcrlBOYDI1gGRRIKqRN8AUxcXIrY37jEWu3ghadAY5NVULJmNyNYBy1EvIbK2o/LnRQBIgiMxi+lN+bznH/q8ZQUa48fBWd9T6uBkQ1528UO3UxcrawtCG/vw66qT+AS64OBkQ+yBGyTfyCDA1xGAwqIKlCo1Lk76S/wuTlbkPSBetIaVm+Ior1TQ54lQkzKfLz2Jh6stMS1MG19VRZp+sLDXDwWysLehPL/IZL38hLvcPXaRznNN93n66WsUpWbSadYUo9/LSqtRqtS42umPIxc7C/KK6jcuukw/QkFpNUqlmhf7hzC8g6/2uw6NXFh18A4tQ53wd7XmVHw+hy7noLy/glabwgoFSjW42Og/Vl1szMgrMz4O3GzNmN3TnwhPa6oVKnbeKGDSxkRWjgql5f2Y/LwyBS7WZvptWpuRV2Z4b8jK7+tQV95GalQeILWgki+OpvPTmHCkJqyI9kH2rD6XTUs/W/ycLDh9p4TDiTKUht2gpbRQMx5sHfXHg62jLbIcmemKQGVZJV888wVKuRKRWETfF/rSoHmDeuvUprCkSnNfOOgbqy4OluQV1b/K2HnaLgqKq1AqVUwbGsnwJ/QnmiXlcjq/uJNqhQqxWMSsCdG0b2IYelZYXH1fB/0JtYuDBXmyB+jw/Pb7OqiZNjyS4d1Mn/vnay/j4WxFTBNDb3FhUeX954N+qJvm+VBerw41rNx0kfJKOX26hGjL4q5lsmXPTX5dNvKB9XXXom4/WD64H579VdMPKjXThjdmePeHHwN/FStPZyqy9d8vldmFiM2kWLo6UJFVgJWnM5VGZKw8jb+DAJxtNM+ogvJqvfKC8mo87U07X3zsrfD0dWJffBZvbL+In6M1b3RpiEQkZuVZXRx/sIstS0e0wlwqpkKuZPruyywa1Pyhz/tx47+8CfefQjD8/wcJDQ1FJNLdLGFhYezatQuVSgVAgwb6D8/09HRatmypVxYeHs7u3btRqVSIxQ+3MOTvrzMKa/YAFBUV4ePjQ0pKCllZWRw/flyvjlqtJicnB19fX+qybds2Nm/erFe23LWOUF0DTCTShjUZIBaDWk3FyvlQqXnpVW1ZguXkD2DjNyCWYDn+HSrXfoHahKEGcHLfdVZ8qlsNePOT4TUH11fNZAsPz/Mf9GfZ/D28NHgxYomIwDBP2vWIJDte35tf+3rXHFzEgx+Yuw7G8+2q0yz+aIDB5KGGH9efZ/fBeH76cigWFrpHRlrsFS6v0m10a/P66PvK1FVFbVBWg6KiiotLttFswgAs7IwfvyK/iKtr99LurbFIzB/wyBLVvQZqw76pw89vtKa8Ssml2zI+/zWRADdr+rXSxCzPGNGImWuv02/2CUQiEX6uVgxp58O2U6ZXcuoeTa1W11VLS5CzJUHOupd9lI8tWSXVrDqXozX8jZwWaiPH0dOhrryJS6BUqXlr521e7OBNoLNpo2N6dz9m7U2l/4/XEQF+ThYMbuLKr1d1k6qrh6+ya7FuPDw166n7ytTV5cHXxMLKgue+fo7qympuX7rNvuX7cPJ0IrBpYL316mLsHnjQfbF25hOUVSq4nJTPog1X8fe0pX+M7tlmYyll2/yelFcqOHU9mwU/X8bX3YY2JrzRxk71AafP2jndNDok5LNo3WX8Pe3o38FwA/GP22+y++RdfprdFQtz055do8+Hh7Cndh1M4NufzrF4bl/t86G0vJr/Y+/Ow6Iq2weOfweGHdl3EAQRcDfFNXfT0tzS1FxySc3Kynwrs8XM+qmVZVrumohbbqm5Ze644J4bKosiCLKDyL7O/P5ABsYZ1N7XOUPwfK7L64IzZ+a5OQ7MfZ7lfj6ec5BvPuyGrbXm2pmnjoHHv4cBNnzzwsPrkMaPG67g6WpJ3471nrrN/5XGZ0n5z1DpuLZzKh/q5e/CtO4VU9I+2nVZ6/NkMs2Ps0cfv59fxHeHb6BQQkRKNg4WJoxoVU8t8b97P5cxG89Qx8SIrr5OfNGz6tEHoXYSiX8tZGKi3gum7YO4yuT5MSovEi5/vfLXUSqVvPDCC/Tpo1n1wcHh0Wy+zCuvvELfvn3VjpV+NKDs9XIeoCwtxcDKDkWlx2V1bFBmZ2p9PeWDdJSZaaqkH0CRdBeZgQEyG0dkJqYYOLhi9vY3lV6w7Oew/GU/ubPGoUxLpGVHX+o3ekN1SsnDxVUPMnKwdajo3cy6n6sxCvBPObvb8sWikRTkF5GfW4StgyW/fLkTD9eyqRy21mYYGsg0evfTM/Ox17LQr7J9RyL54vtDLPiqDx0Ctffk/7rpIsvXn2f1j4Pwr68+ncHlOX9s6lfcsCmKy65D4YMcTG0qktairDyNUYByuSn3yUvL5NyC31THyt8zu8d9Tfdv3yUrPoWirFyOz1xRcY5CSXpELE0OybjyS09sLI3LrkNWodrrZ2QXYf+YBa0AHg8Xevq51yE9q4hFe26pEn+7OsYseus5CotLycwtxsnahB93RuLuoJnw2JrJMZSV9dCrxZCn2WP/OM1cLdhzI0P1vYOW3vqMvGLsLTRf08a8PIZHzy/Ren5uUSnXk/IIT77L7IN3AVAoy24smn1/kRXDGtDOywo7cyN+GeRLYYmCzPwSnCyNmB9yD/dKPep+bf2Y5D9J9X3Jw/dDzv0c6thVvB9yH+RiYfP43wuZgQw7t7IpVy4+LqTFp3Fy68mnTvxt65iUvR8e6d1Pf1CgMQrwKA+nstj8Pa1Jf1DAot+vqyX+BgYyvFzK3s8N69kQfS+bFX+EayT+tlYP35OZj8ZQqNH7rRmD5cMYbMpi2Bqmkfj/uiuc5TtusHpGN/y9bLS+jq216cO/D+q9++mZ+VXe6JfbdzSKL344yoKZL9KhVV3V8biEB9xLyubtzyvKOyse/s42fmEJfwaPxNO9Ys6/6v8iM189hgcF2Ns84To4P7wOXg+vw5YwyRL//KQMzF3s1I6ZOtmgKC6hID1LdY6ZlnMqjwKcjE7lelLFiKfxwylz9hYmpFfq9bc1M9YYBagsPbeIEoUCRaWP5piMXBwsTJAbyCh5+ECJQsm9B/lAPuEpWTR0tqK1Z9UVn6q72jwXX1dE4l8DRUVFaXzv4uJSZc+9h4cH4eHqFQgiIyNxc3N76t7+J/H29iY+Ph4Xl8eXg6zMyMgIIyP1ZEU1+7m0BMXdSAwbtqTkSkXpNMOAlpRcDdX6eqW3ryNv2RlMTKGw7MPYwMkdpaIUZWYqSqWS3G/Up5IY9x+LzMScwq1LVJWCzMxN1Cr1KJVKrO0tCDsfQz2/sp+vpLiU8MtxDHur61P/vI9jamaMqZkxuVkFXDt3h08mPV8Wn5Ehjf2dCL1wl56dKobiQy/cpfvzmnPhy+05HMHn3x3kxxm96dreW+s5v266yNJ151j1/UCaBmhOZZCbmWBppn4dTKwtSQmLxtqrLHFWlJSSFhFDo6EvaG3D0tWBrrPfVjsW/vsRSgqKaDLyJczsrTGxstA45/KqP7B0dWBxd0sMDWQYGsho7GlF6M10eraoiDX0Zjrdmz/9vGAlZfPDH2ViZIizjSHFpQoOXkrmpZaa72MjQwMauZhzOjZLrdTm6dhsuvk+fvFjZeEp+ThaVrzvm7tZcDomm9GBlX6umGxaaKnoY/wwhtCYbF7ws610fhbdHykBC2BpYsjON9TnaP92KZVzsVn8NLA+7tbqN00mcgOc6xhTXKrkYEQmLwVUtGFibqJWqUepVGJpa0n0pWhc65e9H0qLS4kNi+WFsdrfD1VRKpWU/oNFisZyAxp72xJ6LZmerSvK2oaGJdO9lfYyt9rbhaJizfeD2jkotb5njOWGNPaxJfRqEj3bVNwgh15NonvrfxKDkqIS9Z/91103Wfr7DVZ93oWm9e2qeObDvw9+joRejKNnp4q/B6EX4+jeQfvvPZT19H8+7wg/ftGLru3qqT3m42nLrl/VS+0uXH2W3LyihwuH1W/yjY0MaexjV3Yd2lbcQPzz6/Dk/4tnKfXMDer2ba92zL1XIGkXIlE+/P9IPX0D9xdacWPB7xXn9AwkJfS66vu84lLyHqjf9KTlFtLa047I1LJPNLmBjBYetiw5qX2xM8DVxEx6+bsgo2I02dPWnNScQlXSr83TjOwItYtI/Gug9PR0goOD6dmzJ9HR0fz555+MHj26yvP79u3Lp59+yrZt2+jQoQORkZHs37+fCRMmPLOYBgwYwOeff86qVat44YUXMDEx4d69e1y9epU33njjyS+gRdGR3zEd8wmlsZEo7tzE6Pk+GNg6UXyibLqB8YA3MLBxoCD4ewCKLxzBuM9ITF//mKI9wcgsrTF55U2KQ/+C4rKeFkVijHojebkotR2vRCaT8dKQ1uxadxpnD1tc6tqxa+1pjE2M6NCrIqla9s1ubB3rqG4GSopLufew/nJJsYKM1Gxio5IxMTPGxaMsobp6NhqlElw97Ui+d5/fFh/Fta4dg3pXvO7YIS35ZM5fNPF3pkVjV7bsvkZicjav9W8KwI8rTpGSlsN3n70IlCX90+cc4LP3OtO8kQup6WWjBaYmcupYliVuq367wMLVZ/jhixdxd7FSnWNuZoSFufYedJlMhs+LbYnacwJLZzssXOyJ2n0CQ2MjPNo1VZ339/IdmNrWodHQFzA0lmvU+DcyL+sFLD9uIDfUOMfQxAhjSzP83Ct6ksf08GL6mms08bKihbcNW07Gk3i/gGEPS3PO3xlJcmYh340ti2XDsbu42Zni7VKWQP99K5OggzGM7FrRu3vlTibJmYU09KhDcmYhi/feQqGA8b20J02jA534dG8sjV3Mae5mwbYr6SRmFTGsedmo1k/H75GSXczcl+sBsO5CCm7Wxvg6mFJcqmT3jQwORmby04CK1x/Vyomxv0Xy69kkuvnacPRWJmdis1g73F9bCIxp7cz0PTE0eRjD1itpZTG0eBhDyD1SsouY29cbA5mMBo6PzP82l2MsN1A7fjUhl+TsIgKczUnJLmLxqUSUSiVvtNW8ISwnk8loO6AtJ7eexN7NHjs3O05uPYmRiRFNujRRnbfzx53Usa9Dj7E9ADi55SSuDVyxc7WjtLiUqAtRXD1ylT7vVIwWFuUXkZFYMSqSmZxJUnQSCeSpSnWO7ePHJ0vO0sTHlhYN7NlyJJrEtDxee1ia88dN10jJyOe7d9oAsOHALVztzfFxK3tPXYxIY/XeCEa9WLH2ZfkfN2niY4enkwXFJQpCLifxx4lYZr6hfVH62L4BfPLLGZr42NHCz54th26XxfCwJOWPG6+UxfBuu7IY9kfh6mCOj3vZiN7F8FRW745gVO+KGFb9cZOFm6/xw/vtcXeyIPVhT7q5qRwLU81RnbFDWvDJ3EM08XekRSMXtuy5Ufb3oV/ZFJAfV54mJS2X7z4tuxnbcziS6d8e5rN3O9K8kTOpD0cTTY3L/j6YGMvx81bvQS7/u/HocVUM/fwrroO/A1sOPrwOvcp+rh83XCYlPZ/v3i9LtDf8GYmro0XFdbiZyurd4YzqXbGnQlFxKbfjy3rei0sUJGfkc/POfcxN5Xi5apYplVuYYuVbcaNh6e2CXfP6FGZkkxuXQqs54zF3c+DE2O8ACF+2m4DJA2j949tErtyLU/tGNHijNyEjZqte48bP2+kdsoCm017j7h+n8BzwPG4vtGRvpylar0O5LZfuMrq1N3GZecRn5jG6tTcFxQoORlQsuJ7RqzGpOYUsCy2rALXjahyvNq/LB1382XYljro25oxu7c3WyxUL5Sd18OVMTBrJ2QWYG8vp6efMc+5V3xj+Kzzmpkb474jEvwbq3LkzRUVFfPrppxgYGNC7d2/Vwl5tfHx8mDp1Klu2bOH333/H1taWoUOH/qOFvU/i5eXFV199xaZNm/jyyy9RKpW4uLjQvn37Jz+5CiUXQyi0sMKkzyhkVnYoEmPIX/I5yoyyMocGVvbIbCsljIUF5P88HZOhkzGfvhhlbhYlF49TuDvof/3x6DuyLUWFxayZf4C87ALqN3Ljk5+GqY0MpCVnIau0ePJ+Wjafj6toe99v59j32zkCWtTli0UjAcjLKWTL8hAyUrOxsDKlTRd/hrzZGSN5xR/DPt39yMzKZ3HwWVIz8mjgbc/y7wbg7lL2oZmanktCckWlmM27rlFSquDrBcf4esEx1fGBLzbk2097AbBx51WKi0uZMnOf2s85eUxb3hvXrsrr4NvneUqLSri6dh/FefnY+njQ/uPX1Wr452c8ULsOz0qfQFcyc4tZsvc2qVmFNHCtw7LJLXG3L0tgUx8UkphR0fOmVCqZvzOKe+n5GBrIqOtoxn8GNlDdKAAUFiv4eVcUcWn5mJsY0rmJI9+NbYpVFVN3egfY8SC/lGWhSaTmFtPAwZSlg+vj9nB6SVpOMYnZFcP5xaUKfjh2j5ScIkzkBvjam7JkcH06V9oY6zl3S+b18+aXkwn8cjKRujbGzOvnrbWGP0DvhnZk5pew9FTiwxjMWDbEVxVDak4xiVlVTynQprBEwc8nEojPLMTc2IDOPtZ8+3I9rEwf/xHSYXAHiguL2bd0H/k5+bj7uzPq61FqIwMPUtXfD0WFRfy55E+y0rOQG8tx8HDglQ9foXHnirnKCVEJrP1srer7A6sOAJDS2Ytv3ypL5Pu0r0tmTiGLt98gNbOABh5WLJ/WCfeHdeNTM/NJSK807U+p5KfN14hPzcXQQIansyUfvtZMVcMfyirofL36b5Iy8jA1NsTbzYrv32lLn/YV75nK+nTwJDO7kMW/h5F6v4AGda1Z/mnnihju55OQVjFNT6FU8tNvV4lPycHQwABPF0s+HNlMVcMfYOOBKIpLFEyZr75J1ORXG/Pe0KY8qk+3BmRmFbB47QVSM3JpUM+e5XP7Vfx9yMgjIaXS34c918v+Piw8ztcLj6uOD3wxgG8/6aH153ySPs97kZldxOJt10m9n08DT2uWf9al0nUoICGt8v8F/LThStl1MDQo+78Y2VxVwx8g5X4+r3xcsdZq9a5wVu8Kp3UjJ9Z9rRmnQ6A/vY/OV33fdv47AESt+YuTb3yPmYs9Fp4Vnxc5MUkcfPkz2s5/h4bv9CcvIZ2zUxapavgDpJy+wbHh/0fLb8bx3Ndjyb6dwLHXvnlsDX+A9RdjMJEb8FG3htQxkXMjKYupOy+q1fB3rmOqlvOm5BQydcffvN/Zj7Uj25GWU8iWy3dZfyFGdY6duTFfvtgEe3MTcotKuJWWzX/++JuFr7R6bDzVmYFI/J85mfK/mcwtVFtfffUV9erVY+zYsfoORSey3+mp7xAInzVC3yEQWJL/5JN0bFqsjb5D4Lu8M/oOgdLox9fHl4IubqT+qc2dXtZ3CIzIuqnvEKA6lE90qAZzujMynnyOjq1pfuLJJ+nYyp+m6zsEQqfo/3Pzv9VmziGdvfa5z/7ZlMOaQvT4C4IgCIIgCNWO7HE1g4X/itjASxAEQRAEQRBqAdHjX8N89dVX+g5BEARBEAThfybm+D97osdfEARBEARBEGoB0eMvCIIgCIIgVDuix//ZEz3+giAIgiAIglALiB5/QRAEQRAEodqRiR7/Z04k/oIgCIIgCEK1YyDKeT5zYqqPIAiCIAiCINQCosdfEARBEARBqHbE4t5nT/T4C4IgCIIgCEItIHr8hX+VLe+P1XcIjDt1RN8hkNm7u75DYPbvO/UdAmeH9NF3CHy+31HfIVA3MkPfIfAre/UdAm94DtB3CKyuH6vvEOjyh7++Q8D+Qpa+QyD5p+f1HQITp36r7xBgSk99R/BfEz3+z57o8RcEQRAEQRCEWkD0+AuCIAiCIAjVjijn+eyJHn9BEARBEARBqAVEj78gCIIgCIJQ7Yg5/s+eSPwFQRAEQRCEauffuIFXTk4OQUFBXLhwAYDAwEDeeOMNLCwsqnzO0KFDtR4fNWoU/fv3B+Crr77ixo0bao936NCBDz744B/FJxJ/QRAEQRAEQXgGfv75Z9LT0/n8888BWL58Ob/88gvTp0+v8jkrVqxQ+/7SpUssW7aMtm3bqh3v0aMHw4YNU31vbGz8j+MTib8gCIIgCIJQ7ehyqk9xcTHFxcVqx4yMjDAyMvqvXzM+Pp7Lly8ze/ZsGjRoAMCkSZP44osvSEhIwM3NTevzbGxs1L4/f/48jRs3xtnZWe24iYmJxrn/lEj8BUEQBEEQhFplx44dbNu2Te3Yq6++WuW0m6cRGRmJubm5KukH8PPzw9zcnIiIiCoT/8oyMzO5dOkSkydP1njsxIkTnDhxAmtra1q0aMGQIUMwMzP7RzGKxF8QBEEQBEGodnRZzvOVV16hb9++asf+l95+KEvara2tNY5bW1uTmZn5VK8REhKCqakpbdq0UTvesWNHnJycsLGxIS4ujo0bNxIbG8uMGTP+UYwi8RcEQRAEQRBqlX8yrWfLli0aowOPmjt3bpWPKZVKZDLZU7V19OhROnXqpDF//4UXXlB97enpiaurK9OnTyc6OhofH5+nem0QiX+t8dVXX1GvXj3Gjh2r71CAZxuPUqnk1KYQrvz1N4W5Bbj6udNzUm8cPJ2qfE7k6Zuc3nqSzKQMFCUKbN3saD2gPY27NVOdc+nPC1z+8wIPUjIBcPB0pMOwzvDIwvyNpxNZHRJPanYRvs7mfNrPh0BvzTv+R/0dk8Xo5Vdp4GzBjg+e03rO3supfPRbBD0a2bFoTKMnXodVS0P44/e/yc4qoFFTdz7+rDc+vlVfB4AjB2+yYvFR7sXdx72uLW+9152uPQJUj69ccoxflx1Xe46dvQUhI3zVjm26msaaS6mk5hZT386UTzq50crdUmub5+NzeGPHbY3jf4z0x8fOFIBtYensDr9PVEYBAI0czZjS3pWmLuZPvA47g04SsvsyudkF+DRyY/TUXrh7O1b5nGO7LxP61zXio9MAqOfvwqsTu+DTqGJYNuLyXfZtOktsRBKZ6Tm8N3swrTr5VfmaY3o24OW2ntQxM+Lm3Ux+3hlGTHJOlefPn9SOFvXtNY6fuZnCZ0HnARjerT6dmrjg6WRJYXEp12Pus/LPcIjM0PqaA19rRtdeDbCwMOZ2VBrrlp/jXtyDKmMA6NUvgO4v+WHvYEF2diEXQu+ydd3fFBcrVK/5ymvN1Z6TeT8fdvypduy3v1MIOpdMak4xvg5mTO/hQau6dR7bNsDf8TmM3RiBr6MZ28dVvOeLS5WsPJPIrrB0krOLqWdnyn+6utPJ5/G/a0qlkrh9R0k+dZHSvHws63ngM7Qv5m5V/16knL7ErfU7NI63WzADg0qJQuLxcyQcOknRgxzMXR3xfrU31Ff/cN+4+wa/brtGakY+vl42fPZWOwKbuGht98DJGDbtvcnN6AyKikvx9bTh3VEt6RTooTrn9Y/3cv5aksZzu7T2YPk3Lz72WoxrXZ9+jTyoY2LEjeQH/HT8BjH3cx/7HEtjORPbNqCzjzOWJnKSsvNZfCqCM3fLfldGtvSms48zXjYWFJaUEpaUybIzkeSRpfX1hg1oRK8uPliYGxMVnc6K9ZeIS9B+LsA307rQJEDz/+rClURmLzwJgKmpnBGvNKbtc+5YW5ly5+59ft14mWS09xaPb+tD/yYeWJnKuZ70gB+PhnMn48nXYVIHX7r4OlHHRE5iVj6/nIjidEzZdXilqQevNPPAtU7ZtIs7GTmsPhut9hrOnZrS5KNhOLRqgLmbA4df+ZK7f5x6bLvOnZvR5se3sWlcj/yENK7N20zE8j1q53gN6kTLr8dRp74r2bcTufjFr9zd+fjX/beoLuU8X3rpJZ5//vnHnuPo6EhsbCwPHmj+jc3KytI6EvComzdvkpCQ8FSVery9vTE0NCQpKUkk/oJulJSUIJdXv7fMue2hXPjjDH2mDMDWzZ7TW06w+cv1TFgyGRNzE63PMbU0o/2QTth72GMgN+T2hSj2/fwH5tbmeLcsS2jr2Neh8+ge2LraARB25Arb52xm9HvNaeBSlv3vu5LKt7ujmTGwPi29rNh8NolJq6+z+z8tcbM1rTLm7PwSpm+OpF19G9JzirWec+9+AfP23qGVt9VTXYd1QaH8tu4MM74ZgKeXPUErT/D+pPVs3jUZCwvt1+HalThmTNvGm5O70aVHACGHw/n8420sXzOWJs0qkg2f+o78svJ11fcGBjL4/ZDq+/2R9/nuRAJfdHXnOVcLtoal8/buO/wx0h/XOlVXHdg9KgBL44p9BG3NKt5f5+/l0NvPhk9dLTA2lBH0dwqT/rjNjpEBOFtW3Uuzb+MZ/tpyjgmf9sWlrh271p5i3n82MXfDm5hV8X4IvxRL2x6NGDnFAyNjOX/+doZ5H21iTvBEbB3LktXCgmI86zvRqXczFs3YXmX7AK919eHVTt58v+Uqcak5jOrRgO8ntmXMvGPkF5Zqfc7MtReRG1ZcC2sLI1Z+0ImQq4mqY8197PgjNJaI+EwMDGSMf8mf7ye04YsLiRQVlqi9Xp9XGvNS/4as/DmUpIRs+g9pysezXmD6O39QUKB+brn2nb0Z8npLfl0Uyq3wVFzcrJjwfgcANq6+oDovPjaT72ceVH2vUChZ0LXidf68mcG3h+OZ0cuT59wt2HI5jUlbb7FrQmPcrKp+P2QXlvLZ3ju09bIiPU/99+LnE/fYcz2DWS954W1vyqk7WUzZcZsNowJo6Fz1zeC9gydJPHIa39dfwdTJnvj9IVxfFEzLL9/H0FT7+wHA0NSE5758X+1Y5aQ/7eI1Yrb9ic+wvtSp70nyyfPcWLyehOdewc2p7IZ3X0g0c5ef5cvJHWjZ2JnN+8J584u/2LNisOqcyi6EJdGhpTtTxwZSx9KY7QeieOerg2xe0I9Gvg4A/PLlCxQXV7yHMrMKGfjODl7s5F3lzwIw4jlvhjavx9wj14jLzGN0Kx/m9w9k5MaT5Bdrf0/KDWT82D+QzPwiZvx1mdScApwsTcmrdH4LNzt2XLtLeMoDDA0MmNjWlx/7BfLB8T8pLFJ/3Vd6+9O/lx+//HqehORsXu3bkK8+6szkz/ZX+Z78bnGo2u9FHUsTfprVk9ALcapjk8cG4uluxcJV58jIzKdLey+++qgLwzeeJi23UO31RrWqx2vPefF/B68Tl5nL2NY+LHilFcPXnlL7uR69DgsHteR+XhGf771Cak4hTnVMySuqiDklp4Clp24Rn5kHQJ+GrnzXrwV7GnmReSO27HUszLh/9Ta31uyn+++ztLZVmWU9F3runUPkqn0cf30uTs83of3i9ylIfUDs9hMAOLZrRNdNM/j7yyDu7jiJ5ysd6bb5S/Z2mkLaufAntiE8HSsrK6ysnvxZ7OfnR15eHrdu3cLXtyyXiIqKIi8vD39//yc+/8iRI/j4+FCvXr0nnhsXF0dpaek/Xuwrdu6tBRYvXsyNGzfYt28fQ4cOZejQoSQlJbF06VImT57MyJEjmTJlCvv27dN43vfff8+OHTuYNGkSU6ZMASAiIoKPP/6YkSNHMn36dM6dO8fQoUOJiYlRPTc+Pp65c+fy+uuvM3HiRH755ReysrKqjCclJeW/+tmUSiUXdp+l/ZBO+LVviKOXE30+GEBJUTE3j4dV+TzPpvXwax+AfV1HbF3tCOzXFsd6zsTfrPgw8W3jT/3ABti522Pnbk/n17tjbGrMlbvZqnOCT9xjUGtnhrRxob6zOZ/198HF2oRNZzR75Cqbuf0WL7dwpIWX9h7QUoWSaZsiebenJ3Xtqr6BqHwdNq8/y9iJnej2QkPqN3Diy/8bQEFBMQf2VX0dNq0/S+t2PoyZ0JF63g6MmdCR1m282bz+rNp5hnID7B0sVf9s7dSHPdZeTmNQIzsGN7bHx86UTzq742JpxOZr6Y+N285cjoOFkeqfoUFFb+l3L3rxWjMHAhzN8LEz5avudVEo4WxcdpWvp1QqObD1PP1e70BgF388fByZ+FlfCguLOXPwRpXPe+vLAfR4pRVeDZxx87Jn3Me9USqU3LgYozqnWbv6DJ7YhcAuT/7jPbijNxuO3OJEWBIxyTl8t/kKpkaG9GjhXuVzsvOLuZ9TqPrXqoEDBcWlaon/9F/P89fFeGKSc4hOzOb7LVdxtjXHu76dxuu92C+AXVvDuHgmjnt3M1m58BTGJnLada46QfT1dyAqPIUzx2NIS8kl7HIiZ07EUM9X/fVLFQoeZBao/mVnqSdXweeTGdzMnlebO1DfwYxPX6iLax1jNl9Kfex1m7U/lj4N7Wjhrlnvevf1DCa2d6FzfWvq2pjw2nOOPO9txZpzyVW+nlKpJPHoadxf7Ix9i0ZYuDnT4PVBKIqKST1/9bGxIJNhbF1H7V9lCYdDcWrfEufnW2Hu4oj3q30wsbXitz03Vees2R7G4Bf9GNLbn/qeZb39Lo4WaudU9tlb7ZgwpBlN/R2p527Nf8YF4uVmxdGzFX+XbOqY4GhnrvoXeukepqZyXnrM/yvAkGZerLsYzfHoFO5k5DDn8DVM5Ib0bOBa5XP6NHTHysSIz/68RFhSJsk5BVxLyuR2esXv4Md7LrI/IoGY+7ncTs9m7pEwXOqYUb+ercbr9e3ZgG17bnLm73vcvZfFz7+ex8TYkM5tPauMISe3mMysQtW/5o2dKSwqJfR8PADGRga0b+XO2q1XuRGZRlJKLpv/uEFKWi6DKnVelBv6nCfB5+8QcjuF6PRcvjkYhqmRAT39tY/CAPRtXHYdPtlzhWuJD0jKLuBqQia30ipG8E7dSeN0TBpxmXnEZeax/PRt8otLcWxXMWp1b/85/p4RROyOk1W2VVnAW/3IvZvCualLeBB+l6hf9xEVtJ8mH1YsPm08ZRAJBy9y7dvfeBARx7VvfyPh8N80njL4qdqo7gxKlTr7pwseHh60aNGC5cuXExkZSWRkJMuXL6dly5ZqC3s/+OADzp07p/bcvLw8zpw5Q/fu3TVeNykpiW3btnH79m1SUlL4+++/+emnn/D29iYgIEDj/Mepft23wjM3btw4EhMTqVu3rqr+q4WFBfb29kydOhUrKysiIiJYsWIFNjY2dOjQQfXcsLAwzM3N+eKLL1AqleTn5/Pdd9/x3HPPMWXKFFJTU1mzZo1ae/fv32fmzJn06NGD0aNHU1RUxIYNG/jpp5+YOXOm1nie5k5amwfJmeTez6HecxXDXHIjOXUbe3EvPI4WL7V64msolUruXr3D/Xvp1B3TQ+s5ilIFEaduUFxQTAuvsliLShRcv5fDhK7qHy7P+9lwKbbqoevt55OJyyjg+9f8WXbkrtZzlhy6i62FnFfbuHAxpurXKpdwL5P0tBzatq+4DsbGcp5r5cW1y3G8MkT7dQi7Es9rr7dTO9b2+foaiX9cbAZ9e8zHyEhO42buvP1+d8onuRSXKriRksf4VurD8R0863A58fHD50M3RVJYoqC+nSlvtnamjYf2qUEABSUKShRKrE2r/rOVmpjJg4xcmrSuSIKMjOUENPfkVlg83QZon1L1qMLCYkpLFFhYPfmm61GudmbYW5lyITJNday4VMGV6HQae9my56z2//NH9W5dl6NXEimoohcSwOLhtcjJKVI77uhsiY2dOWGXE1THSkoURIQl0yDAkWMHorS+XuTNVNp39cGngT3RUek4OlvSvKU7J4+qT8tycbViwerBlBQruB2Zxrb1l1SPFZUquJGUx4R26olUB28rLt+reqrTjqtp3M0s5Nt+3iwPTdR4vKhEgYmhel+VidyAv+Orfs3C9PsUZ+Vg07BiWpqBkRwr33pk34nDpVPrKp9bWljEhS9+BKUSCw8X6vbtgWXdsiRZUVJCTlwi7r06qT3HpqEvl27GlMVbXMr1qDQmDm2mds7zLd25dPPpOjoUCiW5+cVY16l6ZGLbX5H06eKDuWnVo2CuVmbYW5hwPq7Se1Kh5ErCfZq42LDrRrzW53Ws58T15EymdmpIR28nMvOLOBSVyMZLd6hqBoalcVkcObnq70lnRwvsbMy4fL3iRq2kRMH1iFQCfO05EKI+LaYqL3Ty5uS5ONVogoGhAYaGBhQ9nIpWrqiolGZuNmrH3KzMcLAw4dzdig6J4lIll+Pv09TVhj/C7mm/Dj6OhCU94KOuAXSq70hmXjEHIhNZfyFG63UwkEH3Bs6Yyg1JOV11h8OTOLZrRMLBi2rH7v11Hr83eiOTG6IsKcWxfSOuL/hd/ZwDF2pM4q/Lxb268v7777N69Wpmz54NQKtWrRg/frzaOQkJCeTl5akdCw0NRalU0rFjR43XlMvlXLt2jX379lFQUIC9vT0tW7ZkyJAhGBj8sz58kfjXAubm5sjlco36r5VLVjk5OREREcHp06fVEn8TExPeeust1RSfAwcOIJPJmDRpEsbGxnh4eJCRkcHy5ctVzzlw4AA+Pj6MGDFCdeztt9/m7bffVtWx1RbPo7TV2H1U7v2yD31za/WE0dzGkqyHc/OrUphbwJI3fqK0uBSZgYyeb/WhXov6auekxiSz/pPVlBSVYGxmzMBPh+JrWdb7lplXTKkCHCzVpy7YWxqTlq297Zi0fObvj2HdW82QG2pf6PN3TBa/n0+uct6/NukPe57s7NWvg529JUmJ2mMpf57dI733dnYWqtcDaNzUnS9nD8TTy46MjFyCVpxg4uur+eOVetiYybmfX0qpEuzN1f+c2JvJSc/TPnzvYCFnZjcPGjmZUVSqZE/EfSbsuM3qQfUJrGJdwE+hiThZGtGubtU3Bw/Sy240rB75mazsLEhPevzc9sq2LjuGraMljVo9vhdVG7s6ZTcL93PUe8Hv5xThbPN0ZdcC6lrj42rFD9se3yv9Tr9GXL2Twb27mWrHrR+2k5VZoHY860EB9o5V7x559mQMdaxN+HzOiyCTIZcbcPjPCPZuv646JzoyjRULT5GUkIWVtSn9hzbli29fgn1/QmEOmXklD98P6omovYWctFztv8+xGQX8FHKPtSP9kRto/7143tuK4PPJBNa1pK6tCWdisjkalcnjOu6Kssrex8Z11H9mYysLCjMyq3yemYsDDV5/BXM3Z0oLCkg4eoawH1fR/LN3MHOypyQnDxQKjKzU34tGdSxIi8oH4H5WAaUKJfa26v/n9rZmpGXkVx10JUG/XyOvoITeVfTmX41IJSrmPrOndtL6uKrNh1PcMvLUk/GMvEJc6lT9nnS1MuO5OnYcikpk2t6/8bA2Z2rnhhgaGBB8QXONDsC7z/tzJeE+d++pd1jYPLyJzsxSf09mZhXiaP/4dTvlGnjb4uVhzeKHa14ACgpKCL+VxtB+DYlPzOLBgwI6tfWkgY8dcQ/UEys7C+OHP/ej16EIl8fc5LtbmeHiYcuBiCQ+/OMSdW3M+bBrAIYyA4LOVdyw+NhbsmJoa4zlBuQXl/Lp3is0uRn7VD+bNmYuduQn31c7VpB8HwMjOaYO1uQnZWDmYkeBlnPMXDRHXARpWFpa8v777z/2nC1btmgce+GFF9QW8Fbm4ODArFlPnh72NETiX4sdOHCAI0eOkJqaSlFRESUlJRrzyjw9PdXm9SckJODp6am22rx8Hlu56OhowsLCeP3113lUcnLyU9WxBe01dj26+3BgacXCpsEzhgOgsVj+KVbQG5uZMHbBJIryi4i9eoejqw9g42yLZ9N6qnPs3B0Yu2ASBTkFRJ6+yb6FfzB2QgC+lecUP9KMUls8lE3f+fi3CN7t6Ym3o/YP29zCEqZtiuDrwb7YWlTdg7d/7zW++7riOvy4WPt1UCqVyB4N8BGPXqdH4+/QqYHa402beTD45V/4I/w+Y56resHs4/ppvG1N8a60BqKFqwVJ2cUEX0rVmvivvpjCn5GZrB5UHxN5Re9G6IEwgn/cr/p+6ndlN7OP/sxKpVLj/6kq+zae4ezhG0z/eSTGJk/+E9njOTf+M6ip6vtPHyYlykcugAxQPvaqVOjdui7RiVmEP2Yh7vsDG+PjUof3l56me2dvxr5dscPj/P87UhaDlucpHw2skoAmzvR7tSlrl5/jdlQazi51GDmhNZn389m15RoAV/9OUHvOrYg05i0biMy3M8rrFdMFNd+L2v8LShVKPt59h8kd3aj3mGltn75Ql5n7Y+m76joyoK6tCQObOrDzWkUvduq5K9z+bbfq+4bvjNQaTNklqPoNUce7LnW861Z87+PJlW+XkXjsDD5DX674GbU899GfW+Mcpfa/D4/ac/Q2i9ZfYvHMF7Cv4oZx2/4IGtSzpZm/+u9hzwaufNi1YorJJ3v/rmhcLVbZY9+RBjIZmflFzDt2HYUSIlOzcLAwYXgLb62J/9RODfGxr8O7O87SuZ0nb42uGGmcveCEthDKfi+eslO3RydvYuMfEHVHPdFduPIc777RmtXz+1FaqiA6NpMTZ+/SsIkzh97upjrvo12Xy0JQPnodHh+DTAb384v47vANFEqISMnGwcKEEa3qqSX+d+/nMmbjGeqYGNHV14kvejbmaEMvHvwPyb/G72v5m6fScW3nPO01re4MFIonnyT8IyLxr6VCQ0MJDg5m9OjR+Pn5YWZmxq5du4iKUp8CYGKiOcSskSg+8hdGqVTSqlUrRo0apfHcf7IIRVuN3TXhm3Dzn6T6vrS4rEc5NzMHS7uKObh5D3Ixt6m6ZxNAZiBTLdx19nEhPS6NM9tOqiX+hkaGqnNcG7iRFJXAupMJzBrsi425EYYGkJb9SO9RThH2Whaf5haWEhafw82EHP7vj7IPTYWy7O93k09Psmp8E6zN5dy7X8g7wRXDw+UjnU0+Pcm+j1rhaW9Gp65+NG5acR2KHy4yS0/LwcGx4jrcz8jFzr7q62DvYEl6uvpUibLnVN2rbmZuTP0GTtzNLOvRszUzxFCGRu9+Rn6JxijA4zRzMWdPxH2N42v+TmHVhWRWDqyPv4N6AvRcxwbUr1R5p+ThtJgHGTnYOFT8DNn387C2ffz7AeDP386ye30o0+YPp279x1dDKhd6I5mblXrcjR/emNjVMSEju6LX38bSmPuPvFe0MTEyoFtzN9YciKzynPcGNKZDI2c+WHqatAcFXLqWwu1KU4uMjMpisLYx5cH9it5lK2tTjVGAygaNaE7osWhCDt0CyhbxmpjKGftOO3ZvvaY1mSgqLCE+NpNGVi4oARtzOYYyNHr3M/JKsNdyM5tbVMr1pDzCk+8y+2DZNCiFsiw/bPb9RVYMa0A7LyvszI34ZZAvhSUKMvNLcLI0Yn7IPdytK/5G2TULwLJexdQ7ZUnZ+6EoK0dtjn5xdq5Gb/3jyAwMsPRypyC1bIqI3NIcDAxUIwqVX9fpYQ+/rZUphgYy0u6r9+6nZ+ZrjAI8al9INF8sOMGCz7rToaX2dSH5BSXsC4nm/dEtNR47GZPCjc0VN41GD0cX7cxNSK/U221rZsz9vEKN56tizS2kRKFUm84Sez8XewsT5AYySio9MKVjAM97O/LejvOk5hZyLuw+kdEVU2qM5IYA2Fibcv9BxXvQ2sqEB1lVvyfLGRsb0rGNJ5t2aq5ZSkrN5YvvjmFibIi5mRH3HxTw4VvtiE7P4cdjFQtcjR9OFbO30LwOj44CqF+HIkoUCrXrEJORi8Mj16FEoeTeg3wgn/CULBo6W9F4yiBC3/rpiT+fNvlJGZi7qK+vMXWyQVFcQkF6luocMy3nPDoKIAjlROJfS8jlchSV7pzDw8Px9/fnxRcryr8lJ1e9SK6cm5sbJ06coLi4WFX/NjpafW6mt7c3Z8+exdHREUNDw6eKRxttNXZNzE3UKvUolUosbC2JuRyNs0/Z/NvS4lLirsfSZbT2IbOqKSktqXo+ddkZSopKy+I2lhvQ2N2S0KhMejZxUJ0TGpVJ90aaZRktTQz5Y6r69J3fTidy9vYDFowKwMPOFEOZTOOcn/+KJbewlE8fLhwGsLAwUavUo1QqsXew5NzpaPwbll2H4uJSLl2MZfIHVV+HJs09OHc6muGV5vmfDb1N0+aai+LKFRWVEBOdRmvvslEPI0MDGjmZczoumx71K8qVnb6bTbcnlFqsLDw1H8dHEsOgv1NYcT6ZZQN8aKylcouZuYlapR6lUom1nQXXL8Tg5Vc2x7ykuJTwK3cZOqmbxvMr2/fbGXavDeXDH4bhHVD1gsdH5ReWkl+oPqUgPauAVg0cuPWwTKHcUEZzH3tW7HtylY2uzdwwlhtw6JL2+cbvD2hMxyYuTF1+mqSHSWVBQQkFSeqLnjMz8mjSwpW7D3tHDeUG+DdxZkvw3xqvWc7ERK5xI69QKMt6ravoFpXLDXDzsEJ5t6wdY0MDGrmYExqTzQt+FdMNQmOy6N7ARuP5liaG7HxDvVTtb5dSORebxU8D6+NurT6VzkRugHMdY4pLlRyMyOSlgIo2DE1NMDNVfz8YWVnyIPyW2vz8rFsxeA3oWeV1eJRSqSQ3PhELN2cADORyLOu6khl+G/sWFbFnht+mb+eydoyNDGncwIHQS/fo+Xy9iutwKYHu7apezLrn6G0+/+kEP07vStfHLHr983g0RcUK+nX31Xgsv7iUe8WPvCdzCwn0sCcqrex9IjeQ0dzNluWnq77BvJaUyQsNXB+OVpWpa2NOWm6BWtL/QaeGdPJ2Ysof50nMrnhPJj1SqScjM5/mjZy58/BGWW4oo7G/I2u3XqsyhnLPt/bAyMiAkNNVr5EpLCqlsKgUC3MjnmvizKLTtx4m4hXScgtp7WlHZGrFdWjhYcuSk9rXvQBcTcykl7+L2nXwtDUnNadQ7To8SiYDA+P/fkOo1DM3qNu3vdox916BpF2IVN3Upp6+gfsLrbhRaZ6/e89AUkKvUxNUl3KeNYlI/GsJR0dHoqKiSElJwdTUFBcXF0JCQrh8+TJOTk4cP36cW7du4eT0+F7Ojh07smnTJpYvX87AgQNJS0tj9+7daue8+OKLHD58mIULF9K/f3/q1KlDUlISp06d4q233sLAwEAjHktLy3+8QAXKRh8C+7XlzLaT2LraY+tmx5ltJ5EbG9GwcxPVeXt/2omlfR26jC5bvHtm20lcfF2xcbGjtKSU6ItRXD96lZ5v9VE95/i6w3i39MXKwZqi/EJunrhOXFgsX1aqLT6mkzvTN0fSxMOSFp5WbDmXRGJmIcMeLmyc/2cMyVmFfDfMHwMDGX4u6r3O9pZGmMgN1I4/ek6dhyUuHz3+6HUYNqotwb+epK6XPXU97QhedRJTUyN69am4DrM+24mjcx3emVJ2HYaNbMvb49awdvUpOnfz5/jRCM6fvcPyNWNVz/n5hwN07OqHi4u1ao5/bm4hAwIqbg5Gt3Dg04NxNHYyo7mLBVuvp5OYU8zQJmU3QAtCE0nJKWZOr7JEZt3lVNzqGONrb0rxwzn+B28/4KfeXqrXXH0xhUVnkvjuRU/c6xirepDNjQwwN9Z+QymTyeg1pDW714fi7GGLs4cde9aHYmJiRLueFf9vK2bvxtahDkMmdQXKpvds//U4k2b0x8HFmsyHoyCmZsaYmpclngV5RSTfq+hFS0vMJDYqmZI8OXJz9fm0v5+8w8juvtxLyyU+LZeR3X0pKC7l8OWKZH76sOakPShg1f4Itef2blOXk9eTycrTnA8/ZWATejznxhfBF8grKMXWsizJNTI2pPiR0ol/7Q6n76tNSU7IJikxm36vNqGosIQzx++oznlzSgfup+ez9eHi3Evn43mpf0Nio+9zOzINZ9c6DBrRnEvn41E+/AB+bWxLLp2PJz01TzXH38zcCGXUCdXrjmntzPQ9MTRxMae5mwVbr6SRmFXEsBZlN8g/hdwjJbuIuX29MZDJaPDI1Dd7cznGcgO141cTcknOLiLA2ZyU7CIWn0pEqVTyRltnjetUTiaT4dqtPfF/ncDU0R5TJ3vu/XUcA2MjHFtXLLqNCv4dYxsr1c1A3N6jWHp7YOZkT2l+IYnHzpAXn4TPsIoRSLceHYgK3o6lpzt1fOqSfPIChRkPeO3lihvMsYOa8Mm8EJo0cKRFQye2/BlOYkoOr71cVoXjx9XnSUnP47uPuwBlSf/0H0L47K12NA9wIjWjLHk3NZFTx0L9Buj3vyJ5oYMntk+5AH3r1VhGtfIh/kEe8Q/yGNXSh8KSUg5GVSyk/qxHE9JyC1lxpiwJ/uN6HIObevJ+xwB+v3YXDxtzRrX04fdrFcn31M4NeaGBK5/9eYm8ohLszMriNDbSXHC752AUr/YNIDElm8TkHAa/3JDColKOV1rw/v6E1mTcz2f97+o9+y908ubs3/fIztXsmW/R2BmZDO4lZePqZMmYoc25l5TNnhsJGuduuXSX0a29icvMIz4zj9GtvSkoVnAwoqIS24xejUnNKWRZaNnI146rcbzavC4fdPFn25U46tqYM7q1N1svV1RbmtTBlzMxaSRnF2BuLKennzPPudtxaONh1TlyC1OsfCtGcCy9XbBrXp/CjGxy41JoNWc85m4OnBj7HQDhy3YTMHkArX98m8iVe3Fq34gGb/QmZMRs1Wvc+Hk7vUMW0HTaa9z94xSeA57H7YWW7O00ReNnFwQQiX+t0a9fPxYvXsx//vMfioqKWLBgATExMSxYsACZTMbzzz/Piy++yKVLlx77Oubm5nzyySesWrWKadOm4enpyeDBg/n5559V8/7t7Oz45ptv2LBhA7Nnz6a4uBhHR0eaN2+umib0aDyLFi164k1HVdoM6kBxUTEHl++jICcfVz93hs4apTYykJX2AFmlRYPFBUUcWPYnOelZyI3l2Lk78PLUV2jYqbHqnNzMXPYu2EluRg4mFiY4ejkzZOYInjetmK/Zp7kjmXklLDkcR2pWEQ1czFk2rjHuD+evp2YXkZhZ9VD6s/T6uA4UFhQzb/Y+srPyadzUnYXLRqmNDCQlqV+HZi3q8s13g1m+6CgrFh3Fva4d//f9YLUa/ikp2Xz5yXYy7+dha2dB46bu/Lp+PG5HQlXnvORnS2ZBKcvOJZOaW4KvvSlL+nmraran5haTWKnyTHGpkh9PJZCSU4yJ3ABfO1MW9/Omc72K6k6br6VRrFDynz/V58e+3caZd9pWXXqvz4h2FBWWsHb+X+TmFFC/oRsf/fia2shAenKW2pS1wzv/pqS4lMVfqm/aNGBsR155o2zh5J2IRL6bslH12G+Lyj7Qzeu2xrblcLXnbToWjYmRIVNeaVK2gVdcJtNWnlWr4e9kY4bikR50DwcLmnnb8fFK9apKqng6lN0YLXhLvRdw5c+nOHlEfeRt347rGJsYMnpSG8wtTYiOTGPeV4fV6qXbOVqoTV/YteUaKGHwyObY2pmTnVXIpfPx/L6h4u+Crb0Fb3/YiTp1TMjOKuRWZCpfT9vPNy0rphr1bmhHZn4JS08lkppbTAMHM5YN8cXt4YhVak4xiVlPnvZUWWGJgp9PJBCfWYi5sQGdfaz59uV6WD2myhOAe8+OKIqLid68h5K8AurUc6fRu6PVavgX3n+gNvG+JL+A2xt3UZydg6GpKZZ1XWgy9Q3qVJpG5NCqKcW5+cT/eYyirGzMXZ1o+M4o3J0rXqdPFx8yswpYvOESqffzaOBly/JveuHuXDbtKDUjn4SUiulCm/eFU1Kq5OvFp/l68WnV8YEvNODbjzqrvr8T/4CL15P5dc5LT339Nl66g4ncgP90boSliZybyQ/4cPdFtRr+zpZmaoM6KTkFfLj7Au8+H0DQsA6k5Ray7WosGy9V3Dy+0qTsZv6XgW3U2vtZcY6jp9R/d3f8GYGxsSFvjmqJpYUxUdEZzPrxuNp70tHOHOUjg8FuzpY08nPkqx9CtP5s5uZGvD64Kfa2ZmTnFnHm4j02bL9GqZ/mdK71F2MwkRvwUbeG1DGRcyMpi6k7L6rV8HeuY6r2e5GSU8jUHX/zfmc/1o5sR1pOIVsu32X9hRjVOXbmxnz5YhPszU3ILSrhVlo2//njb1ocqqjK4xDoT++j81Xft53/DgBRa/7i5BvfY+Zij0WljSdzYpI4+PJntJ3/Dg3f6U9eQjpnpyxS1fAHSDl9g2PD/4+W34zjua/Hkn07gWOvfVNjavjrquxmbSZTPm6llyA8hRMnTrBkyRKCg4M1tph+1n4N36DT138a48KP6DsEHvTWrPMrNYuVf+g7BC4O6fPkk3Ts8x+rXuAslbpV7NwrpV/7//nkk3RsoucAfYfA6vr//ULOZ6XLn82ffJKO2V94chliXUtubqPvEJg49Vt9h8A4xeEnn1RNDXl9s85ee+u6YTp77epM9PgL/1hISAjOzs7Y2dkRExPDhg0baN++vc6TfkEQBEEQao9/Yx3/6k4k/sI/lpmZyZYtW8jMzMTGxoZ27doxfPjwJz9REARBEARB0BuR+Av/2IABAxgwQP9D6oIgCIIg1Fyiqs+zJxJ/QRAEQRAEodoRif+z98/rJwqCIAiCIAiC8K8jevwFQRAEQRCEakeU83z2RI+/IAiCIAiCINQCosdfEARBEARBqHZEOc9nT/T4C4IgCIIgCEItIHr8BUEQBEEQhGpHVPV59kSPvyAIgiAIgiDUBkpBqEWKioqUmzdvVhYVFYkYRAwiBhGDiEHEIGIQahXR4y/UKsXFxWzbto3i4mIRg4hBxCBiEDGIGEQMQq0iEn9BEARBEARBqAVE4i8IgiAIgiAItYBI/AVBEARBEAShFhCJv1CrGBkZ8eqrr2JkZCRiEDGIGEQMIgYRg4hBqFVkSqVSFEkVBEEQBEEQhBpO9PgLgiAIgiAIQi0gEn9BEARBEARBqAVE4i8IgiAIgiAItYBI/AVBEARBEAShFhCJvyAIgiAIgiDUAiLxFwRBEARBqAbS0tLQVmxRqVSSlpamh4iEmkaU8xRqpH379j31uX369NFhJNVLbm4ut27d4sGDBxofLl26dNF5+wqFgmPHjnHt2jWysrJQKBRqj8+cOVPnMehbdHQ0crkcT09PAM6fP8/Ro0fx8PBg6NChyOVyncdw+fJlTE1NCQgIAGD//v0cPnwYDw8Pxo8fj6Wlpc5jqEpubi4WFhZ6az8vL4+wsDDc3Nzw8PCQpM2vvvqKbt260b59e4yNjSVpsypJSUkkJSXRqFEjjI2NUSqVyGQyvcakDyUlJaSkpODs7IyhoaFk7Q4bNowVK1ZgbW2tdjw7O5sJEyawefNmyWIRaibdf8IIgh7s3bv3qc6TyWQ6S/xjY2Of+lwvLy+dxFDZhQsX+OWXXygoKMDMzEzjw1yKxD8oKIhjx47RsmVL6tatq/P2qlJUVMTdu3e13gAFBgbqtO2VK1cyYMAAPD09SU5OZsGCBbRp04YzZ85QVFTE2LFjddo+wLp16xg5ciQAd+/eZd26dbz88stcv36dtWvX8s477+g8BoCdO3fi5OREhw4dAJg/fz5nz57FxsaGTz/9lHr16uk8hvnz59OoUSNeeuklioqK+PTTT0lJSQFgypQptGvXTucx+Pj4sH79elavXk379u3p3r07fn5+Om+3suzsbBYsWEBYWBgAP//8M87OzixbtgwLCwtGjx4tSRzXrl2rsmNAivdlYWEhq1evJiQkBICFCxfi7OzM6tWrsbOzY+DAgTqPQduNVkFBgd5vCoWaQST+Qo20ePFifYfAtGnTnvpcKXpx1q1bR7du3Rg+fDgmJiY6b0+b0NBQpk6dSsuWLfXSPpT1di9atIjs7Gytj+v6/yIhIUGV0J4+fZpGjRoxZcoUwsPDWbhwoSSJf0pKiqo3+8yZM7Rs2ZIRI0YQHR3N3Llzdd5+uUOHDvHee+8BcPXqVa5du8Znn33G6dOnWb9+PV988YXOY7h58yaDBg0C4Ny5cyiVStasWUNISAjbt2+XJPEfPXo0o0aN4uLFixw9epSZM2fi4uJCt27d6Ny5MzY2NjqPITg4GAMDA5YsWcLUqVNVxzt06EBwcLAkif/WrVvZtm0b9evXx8bGRi8jDRs3biQ2NpavvvqK2bNnq443a9aMLVu26CzxDw4OVn29adMmtb/RCoWCW7duSXIjLNR8IvEXapXy3l0pPlAWLVqk+vrOnTusW7eO/v37q3ryIiMj2bNnj6rnVdcyMjLo3bu33pJ+ALlcjouLi97aB/j1119p164dr776qiQJlTbl78Nr167RqlUrABwcHMjKypKkfblcTlFRkSqG8tEeS0tL8vPzJYkB4P79+9jb2wNw8eJF2rdvT/PmzXF0dOTzzz+XJIa8vDzV1KbLly/Ttm1bTExMaNmyJevWrZMkBgADAwNat25N69atycrK4uDBg2zevJnffvuN5557jj59+tCkSROdtX/lyhU+//xz1f9HOVdXV1JTU3XWbmUHDx5k8uTJdO7cWZL2tDl//jwffPABfn5+ap8THh4eJCcn66zdmJgY1ddxcXFqU/7kcjleXl7069dPZ+0LtYdI/IVaISQkhF27dpGUlASUfZj1799fpx8wjo6Oqq/nz5/PuHHj1Hq6vby8sLe3Z/PmzbRp00ZncZRr3rw5t2/fxtnZWedtVaVv377s27eP8ePH623ecFZWFn379tVb0u/j48Pvv/9Os2bNuHHjBhMnTgTKeuGliikgIIDg4GD8/f25deuWqoc3MTFRI/HTJUtLS9LT03FwcODy5cu89tprqsceneahKw4ODkRGRmJpacnly5f54IMPAMjJydHL1Ipbt25x9OhRTp06hbW1NV27duX+/ft899139OzZU2c974WFhVo7BbKysjAyMtJJm48qKSmRfIrTo7KysjTm10PZVBtdKl/ftGTJEsaOHYu5ublO2xNqL5H4CzXenj172Lx5My+++CIBAQEolUoiIiJYuXKlKgnUtbt37+Lk5KRx3MnJifj4eJ21e+HCBdXXLVu2ZP369cTHx+Pp6amxiFRXc9t/+OEHte/DwsK4fPkyHh4eGjF89NFHOomhsrZt23Ljxg29jTyMHTuWn3/+mfPnzzNo0CBVHGfOnJEs6Rk/fjyrVq3i7NmzTJw4ETs7OwAuXbpE8+bNJYkBoE2bNvz888+4uLiQk5PDc889B5T1fkr1/9OnTx9++eUXTE1NcXBwoFGjRkDZFKDyBdi69uDBA44fP86xY8dITEykVatWfPDBBzRv3lx1g9y+fXvmzZuns8S/YcOGhISEqG6+ZDIZCoWCXbt20bhxY520+aju3btz8uRJXn31VUna06Z+/fr8/fff9O7dG6gYHT58+LAkv5/l6xjEImtBV0RVH6HGmzx5MkOHDtVYvHrs2DG2bt0qyXqATz75BHd3d9566y1VL2JxcTFLly7l3r17fPfddzppd9iwYU99rq7mti9ZsuSpz5Vq8d78+fOxsrLC09NTo2KHvqo8FRUVYWBgIElVn+qipKSEffv2kZ6eTteuXfH29gbKFuebmprSo0cPSeK4ffs26enpNGvWDFNTUwD+/vtvzM3NVZWPdGn48OGqOf1du3bFyspK45y8vDzmzZuns8pX8fHxfPXVV/j4+BAWFkZgYCBxcXHk5OTwzTffSHIjFhQUxPHjx/H09MTLy0vjd3PMmDE6jyEiIoI5c+bQsWNHjh07Rs+ePYmLiyMyMpJZs2bh4+Oj0/ZzcnKYP38+169fByoWWS9dulTSRdZCzSUSf6HGGzlyJD/++KPGB1diYiIfffQRGzZs0HkMt27d4rvvvkOhUKgWaMXExCCTyZg+fTq+vr46j0Eoc/jwYVauXImxsTF16tRRe0wmk6mtzahJ8vLynvpcMc1AWjdv3qRhw4b6DoPMzEwOHDhAdHQ0SqUSb29vXnzxRWxtbSVpf9asWY99XKpyv3fv3mXXrl3cuXMHhUKBt7c3AwcOlGQEaNGiRTx48IC33nqLqVOnMm/ePJydnbly5QrBwcHMnz9f5zEINVvt6VoSai0XFxdCQ0NVlTvKhYaGSjadwNfXl0WLFnHixAnu3buHUqmkffv2dOzYUdXDqA9S10wvKipCqVSq5hKnpqZy7tw5PDw8JJtismnTJoYOHcrAgQMxMJBmD8Nx48Y99blBQUF6j0GXlY0qTz97El2XVoXqsbfEli1b+OijjzR+F3Xdy/8oGxsbhg4dKklb2lSXfTw8PT1599139dJ2dVhkLdRsIvEXarwhQ4awYMECbt68ib+/PzKZjPDwcMLCwtTK1umaiYkJL7zwgmTtPao61Ez//vvvadOmDb169SI3N5fPPvsMuVxOVlYWY8aMoVevXjqPoaSkhA4dOkiW9IM0UxSepHJSlZKSwsaNG+natatalamQkBCGDx+u0zjmzZv31OdKUea2OuwtcePGDUpKSjSOFxcXEx4eLlkMj1O+9kEq6enpyGQy1foTKSkUCpKSkrTeCOr6OlSHRdZCzSYSf6HGa9euHXPmzGHPnj2cP38eAHd3d+bMmaOaU6wLFy5coEWLFsjl8if2ckrRs1kdaqbfuXNHlQSfOXMGGxsbvvvuO86ePcuWLVskSfy7dOmidQRIl7p27SpZW1WpnLBs27aN0aNH07FjR9WxwMBAPD09OXTokE7jrW47j+pzb4nKm/zFx8eTmZmp+l6hUHD58mXJEt8nTbOR4v9NoVCwfft2du/eraqiY2ZmRt++fRk0aJAkN+uRkZH8/PPPVfau6/o6VIdF1kLNJhJ/oVbw8fHh/fffl7TNefPmqbZef1IvpxQfqtWhZnphYSFmZmZA2ZB2mzZtMDAwoEGDBpINY5d/iF65ckVvCwgVCgXnzp3j3r17yGQyPDw8CAwMlGwUIjIyUlVGtDIfHx9u3bolSQzVhT73lqi8yd/XX3+t8bixsfE/mqL1v3h0illJSQkxMTFs3rxZrcyqLm3atIkjR44wcuRI/P39VRXYtm7dSnFxsc5Ho6BsZ20fHx+mT5+Ora2t5JV0Xn/9db766iuio6MpKSlh/fr1aousBeF/JRJ/oVbQx9Bt5WS+OvRyVoea6S4uLpw7d442bdpw5coVVSnVrKws1Q2BrsXFxalGeuLi4iRps7KkpCTmzp1LRkYGbm5uKJVKVf386dOnS5KE2tvbc/DgQY0KIYcOHZK0jj+UTTHZtWuX6ibI3d2d/v37S7bYVZ97SyxatAilUsl7773HnDlz1Kr5yOVyrK2tJbsZ1Lagu1mzZsjlcoKDg3VWeayykJAQ3nrrLbUR0Hr16mFnZ8eqVaskSfyTkpL48MMP9XYz6OHhwQ8//MCBAwcwMDCgsLCQtm3bSrrIWqjZROIv1Hj6HrqtLqpDzfRXX32VhQsXEhwcTNOmTVXzy69cuaLTaVeV6XsBYVBQEM7OzsyePVu1Y2x2dja//PILQUFBfPrppzqPYcyYMfz4449cuXKFBg0aABAVFaVKeqRy/Phxli5dSps2bVR10yMiIvj666+ZPHmy2lQkXQkPD+f69et62VuifJO/6vw3yMrKioSEBEnaysnJwc3NTeO4u7s7OTk5ksTg6+tLUlKSXncY1/cia6FmE4m/UOPpe+gWYPXq1bi4uGjUiN+/fz9JSUmMHTtW5zGMGTMGR0dH0tPTGTVqlKqa0P379yWZWw9l6y0CAgK4f/8+Xl5equNNmzaVZPfi6uDGjRtqST9AnTp1GDFiBDNmzJAkhpYtW7Jw4UIOHDhAQkICSqWSwMBAevbsiYODgyQxAOzYsYORI0eqbaLXp08f9uzZw++//y5J4m9hYaGX9151WwNUeb0BgFKpJDMzk507d0qy8B/KdjPfv38/b7zxhtrx/fv3SxZD7969Wbt2LZmZmVr3+aj8d0sXHv1/KCeTyTAyMsLBwUEs8hX+JyLxF2o8fQ/dApw9e5ZPPvlE47ifnx87d+6UJPGXy+X079+f+Ph40tLSVMmGs7OzztuuzMbGBhsbG7VjUu5joO9a4XK5nPz8fI3jBQUFkm7e5eDgwIgRIyRrT5vk5GStSW1gYCC//fabJDFIsWmcNtVtDVDl9QaVNWjQgLffflvn7QOMGjWKuXPncu3aNfz8/JDJZERERJCeni7JSBjAjz/+CMDSpUu1Pq7r/4uq/h/KyeVy2rdvz5tvvqnaDFIQ/gmR+As1XnUYus3JydE6h9bc3Jzs7GxJYkhOTuaHH37g7t27Wh+XarrBrVu3OHPmDGlpaRolDHU5raLcoz12paWlxMTEEBcXp7G7sy60atWKFStW8NZbb6lueKKioli5cqVOe3ZjY2OpW7cuBgYGVfYqltN1r2Y5e3t7rl27pvG7ee3aNcnXGkituq0BenTjOplMhpWVlaTJZaNGjVi4cCF//fUX9+7dA6Bt27b06tVLsupG+t7Ar3xTyf79++Pr64tSqeT27dvs3r2bIUOGUFpaysaNG9m0aZPYxVf4r4jEX6iRKic2+h66hbJFrZcvX+all15SO37p0iWcnJx03j6UzS13dHRkxowZvPvuu8yZM4ecnBzWrl3L66+/LkkMp06dYtGiRTRv3pyrV6/SrFkzkpKSyMzMlGy6RVWjK1u2bFGVENSlcePGsXjxYr744gvVe7G0tJTAwECdVnCZNm2aqof5Sb2KUiWi/fr1IygoiJiYGPz9/YGyOfchISE6HQX75JNPmDFjBpaWlkybNu2x0/+kWNSqjdSb6zk6OnLt2rUqNzKTamTEzs5OkkW8VSlfd6Ev27dvZ+zYsbRo0UJ1zMvLCzs7OzZv3szcuXMxMTFh3bp1IvEX/isi8RdqJG2Jjb6GbgFefvllVq9eTVZWFk2aNAHKejX37Nkj2eZOUVFRfPnll1hZWSGTyTAwMCAgIIARI0YQFBTE999/r/MYduzYwZgxY3jppZcYPXo048aNw8nJiRUrVui9YkXnzp359NNPdf5hamFhwbRp00hMTFT1anp4eOh8RGrRokWqqjH67tUs16tXL2xsbNi9ezenT58GyhZyfvDBB7Ru3Vpn7QYGBqrmSeuynadVHTbX27p1K9u2baN+/frY2NhIthaqOoxEVaf1Fnfv3tV68+Ho6Kgara1Xrx7379/XaRxCzSUSf6FGqi6JTbnu3btTUlLC9u3b+f3334GyP+QTJkyQZHoJlJXsLF/Qa2VlpSon6eDgIFnVjuTkZNVGSUZGRhQWFiKTyXj55Zf5+uuv9VrJIjIyUtJpDa6urri6ukrWXuVkQt+9mpW1adNG8sW1Q4YM0fq1vlSHzfUOHjzI5MmT6dy5s87bqqw6jERVp/UW7u7u7Ny5k0mTJqnW/JSUlLBz507c3d0ByMjIwNraWqdxCDWXSPyFGqk6JTblevXqRa9evcjKysLY2FiVhEulbt26xMbG4uzsjK+vL7t27UIul3Po0CHJFvhaWlqqptPY2dlx9+5dPD09ycvLo7CwUJIYfvjhB7Xvy6uX3L59m8GDB+u8fYVCwbFjx6qcUiFVudGkpCT27dunGnVwd3enT58+elkLU1JSwoMHD1AqlWrHpawwpM8YqsPmeiUlJaryulKqDiNR1Wm9xfjx4/n+++956623VCMcd+/eRaFQqApEpKSk8OKLL+ozTOFfTCT+Qq1QnZKcypv0SGnQoEGq5Pq1117j22+/ZebMmVhaWjJ16lRJYggICODq1at4enrSvn171qxZQ1hYGNeuXaNp06aSxPDoImuZTIabmxtDhw6lefPmOm8/KCiIY8eO0bJlS+rWravz9rS5fPky33//PfXq1VPtkBoZGcmHH37IJ598QrNmzSSJIzExkaVLlxIREaH1cSmSsISEBJYtW6bXGKrD5nrdu3fn5MmTvPrqq5K0V65yJ01qair+/v4a67BKS0uJiIiolh06z5q/vz+LFy/m+PHjJCYmolQqadeuHR07dlRtcij1qIxQs8iUj3ZvCEINU1WSExsbK2mSc+bMGUJDQ0lPT9eoZqOvBYQ5OTlYWFhINp83JyeHoqIi7OzsUCgU7N69m/DwcFxcXBg8eLBabfuaavz48UyePFk15Ukfpk2bRvPmzRk5cqTa8Q0bNnD16lXJ3o8zZszAwMCAgQMHal3jIcXc9uoQw6+//srff/+Ni4sLMTExLF68GFNTU0JDQ/njjz909v8RHBys+lqpVBISEoKnpydeXl4aybcUa5GGDRummnJTWXZ2NhMmTNDZTdi+ffue+txH92J5lkpKSvjggw+YPn06Hh4eOmtHqN1Ej79Q423cuJGXX35Za5KzYcMGSRL/ffv2sWnTJrp06cKFCxfo2rUrycnJ3L59W69DtlIn2pXbMzAwYMCAAQwYMEDjvJ07d9KzZ09Jq5pIRS6X67W0LMC9e/e0jvJ069btHyVB/6uYmBi+/fZb1dxlfagOMehrc72YmBi178tvcuLi4nTW5pNo64TIzs7W6dTIvXv3PtV5MplMp4m/XC6nuLhYZ68vCCASf6EWqA5JzoEDB3jzzTfp2LEjISEhDBgwAGdnZzZv3izZVvT/Jjt27KB9+/bPLPEfN24cCxcuxMrK6oklM4OCgp5Jm1Xp27cv+/btY/z48XrZRRrKppvFxMRoLC6OiYmRdCqah4eHZPtYVOcYyjfXe9TLL7+s03alWk/yJJXX3SxevFhtZ1qFQkFsbKxO1x8sXrxYZ6/9T/Xu3Zs//viDt956S2PURRCeBZH4CzVedUhy0tLSVHXKjY2NVTu3du7cmc8//5zx48dLEse/xbOegThmzBjV/FipyqdWJTw8nOvXr3P58mU8PDw0duuVYhOzHj16sGLFCpKTk/H390cmkxEeHs4ff/xB3759dd5+uZEjR7J+/XqGDx+udY8NbZve1cQYoGytwY0bN7QuMJZ63r3UKl9jMzMztepacrmcBg0a0KNHD8njKv9/kPIGPSoqirCwMNVaKBMTE7XHpfj7INRsIvEXarzqkOTY2NiQnZ2No6Mjjo6OREVFUa9ePVJSUp55kito6tq1q9av9cHCwkLy8pWPGjx4MKampuzZs4fffvsNAFtbW4YMGULv3r0li+Obb74B4Ouvv9b6uBQLa6tDDIcOHWLVqlXUqVNHo4a+TCar8Yl/+eZgjo6O9OvXT/KKZ48KCQlh165dJCUlAWWld/v37y/JoloLCwvatm2r83aE2kss7hVqPKVSyd69e9mzZ49q0xNbW1v69+9P7969JenNWbZsGfb29gwZMoQDBw6wdu1a/P39iY6Opk2bNrz99ts6j+HfZPTo0cybN08nZUajo6ORy+V4enoCcP78eY4ePYqHhwdDhw7V6IGv6cpHn8pHRKR048aNxz7eqFGjWhHDO++8Q69evRg4cKDO2xIeb8+ePWzevJkXX3yRgIAAlEolERER/PXXXwwbNkzSETFB0IXa9Qkn1EoymYy+ffvSt29fvSU5b775pqpnv1evXlhaWhIeHk6rVq10unhP0LRy5UoGDBiAp6cnycnJLFiwgDZt2nDmzBmKiooYO3aszmMoLS3l+vXrJCcnq8r0ZWRkYG5uLnlvpz4S/nJSJNX/hhhyc3Np3769vsOoFvRd/ezPP//U2FixdevWeHh4sHXrVpH4C/96IvEXaryUlBRKS0txdXVVS3ISExMxNDTEyclJ5zEYGBiofd+hQwc6dOigcd6qVasYOnSo3mr91wYJCQmq6iWnT5+mUaNGTJkyhfDwcBYuXKjzxD81NZU5c+aQlpZGcXExzZo1w8zMjF27dlFUVMSbb76p0/YBMjMzWbduHWFhYVrnlEu5idHNmzc5ePAgKSkp/Oc//8HOzo7jx4/j5OREQECAZHEUFhaSlpamkWyWb6KkS+3atePKlSu1vhOgOlQ/y8zMVK3Hqszf35/MzExJYtD3zY9Qs4nEX6jxFi9eTLdu3TQW90ZFRXHkyBG++uor/QSmxYkTJ+jXr1+NSvyDg4MZNmwYpqam3LhxQ+sGPY9q2LCh2gK/Z6080b127RqtWrUCynZozcrK0lmb5YKCgvDx8WHevHm88cYbquNt2rRh2bJlOm8fYMmSJaSlpTF48GCNOeVSOnPmDIsWLaJjx47cuXNHVcowPz+fHTt28Omnn+o8hqysLJYsWcKlS5e0Pi7FTZCLiwubN28mKipK6wJjXZaQrE6qQ/UzFxcXQkNDGTRokNrx0NBQScrwVoebH6FmE4m/UOPFxMRo7Tn08/Nj9erVeoioajVxyc3+/fsZMGAApqamzJo1S+sGPY/SZcLn4+PD77//TrNmzbhx4wYTJ04EykaGbGxsdNZuuYiICL755huNtQQODg5kZGTovH0oqyz09ddfS7I51eNs376diRMn0qVLF0JDQ1XH/f392bZtmyQxrFmzhtzcXGbPns2sWbP4+OOPyczMZPv27YwePVqSGA4dOqS6MX50zYGua8dXJ9Wh+tmQIUNYsGABN2/eVCsGERYWJskO59Xh5keo2UTiL9QK5R8gleXl5aFQKPQQTe3i6OjIn3/+SfPmzQGIjIyssj6/FPOtx44dy88//8z58+cZNGiQqhfvzJkzOq0VXk6hUGh932VkZEg2397e3r5a3GQmJCTQsGFDjeNmZmbk5eVJEkNYWBjTpk3D19cXAwMDHBwcaNasGebm5uzYsUOSHZarUx15faoO1c/atWvHnDlz2LNnD+fPnwfA3d2dOXPm4O3trfP2q8PNj1CzicRfqPEaNmzIjh07+OCDD1Rz7RUKBTt27JB0DnFtNWrUKFauXMnOnTsB9c16HiXFtAovLy9+/PFHjeOjRo3SWIuhC82aNWPv3r1MmjQJKOvRLSgoYMuWLTz33HM6bx/Kbn42btzIxIkTJVnjUhVbW1uSkpI0YggPD5csrsLCQtXUOktLS7KysnBzc8PT05M7d+5IEkO5kpISUlJScHZ2rpWbNzVp0oSLFy/i4+NDt27dCA4O5syZM6rqZ7pWUlLCihUrGDx4MO+//77O29OmOtz8CDWbSPyFGm/UqFHMnDmTKVOmqHoXb968SX5+Pl9++aWeo6v52rRpQ5s2bSgoKGDMmDEsWLDgiVN9dC03N5czZ86QnJxM//79sbS0JD4+HhsbG+zs7HTa9pgxY5g1axZTp06luLiYhQsXkpSURJ06dZgyZYpO2y63YMECCgsLee+99zAxMdFIMnW9e3G5F154gTVr1vD2228jk8m4f/8+kZGRrFu3TrLa9W5ubiQkJODk5ISXlxeHDh3CycmJAwcOYGtrK0kMhYWFrF69mpCQEAAWLlyIs7Mzq1evxs7OrtaU+dR39TO5XM65c+cYPHiwztuqir5vfoSaT9TxF2qFjIwM9u/fT2xsLMbGxnh5efHSSy9haWmp79DU6LJ+fXXwtIt7dSk2Npavv/4aCwsLUlNTWbBgAc7OzmzatIm0tDTeffddncdQVFTEyZMnuXPnDkqlEm9vbzp16qTTBc2VHTt27LGPS7nJ2W+//cbevXtVC3vlcjn9+vXjtddek6T9EydOUFpaSteuXblz5w6zZ88mOzsbuVzO5MmTtVbfetaCgoKIiIhg7NixzJ49mx9++AFnZ2cuXLjAli1b+P7773Ueg76Vlpayfft2unXrhoODg97iWLJkCZ6ennor25mSkoKdnZ1qDVBoaCjh4eG4uLjw3HPPaRSpEIR/SvT4C7WCnZ0dI0aM0HcYT9SpUye91lXXtUaNGqFQKDhz5gz37t1DJpPh7u5O69atJZlmA7B27Vq6devGqFGj1BZvPvfcc/z888+SxGBsbEz37t0laUsbfe9eXNnw4cMZNGgQ8fHxKJVKPDw8JN3LoFOnTqqvvb29Wbx4Mffu3cPBwUGy6lrnz5/ngw8+wM/PT63CkoeHB8nJyZLEoG+Ghobs2rVLrX6+Pri4uPD7778TERGBj48PJiYmao/reqH1e++9p1YAobz0c3Z2NhMmTJC01K5QM4nEX6iRYmNjn/pcKep0Hz16FFNTU41Nek6fPk1hYaEqESuvMFNTJSUlMXfuXDIyMnBzc0OpVJKYmIi9vT3Tp0+XpFzerVu3tF5nOzs7yep0JyQkcOPGDa019KWa4lKuqKhIo1a4ubm5pDGYmJhQv359Sdssd/36dRo3bqwWi4+Pj6QxZGVlaZ3+VlBQIGkc+ta0aVNu3Lih13Unhw8fxtzcnOjoaKKjo9Ue02eFpYKCAslGBIWaTST+Qo00bdq0pz5Xih6UnTt3ak02ra2tWb58ebXqgdWloKAgnJ2dmT17tmqaVXZ2Nr/88gtBQUGS1G2vXCmjsoSEBEl6eA8dOsSqVauoU6eORg19mUwmSeJfUFDAhg0bOH36NNnZ2RqPS9WrWFBQwM6dO6vcSGzRokU6j2HOnDnY2dnRtWtXunTpopdpJvXr1+fvv/+md+/eAKr3xOHDhyWpNFVdPPfcc2zcuJG7d+/i4+OjMfITGBio8xgqV1gqfz9Ksc9FcHCw6uvNmzerjTQoFApu3bql9/K7Qs0gEn+hRpIiYfgn0tLStPZiOTg4kJaWpoeI9OPGjRtqST9AnTp1GDFiBDNmzJAkhsDAQLZt26aqyS2TyUhLS2Pjxo20bdtW5+1v376d1157Ta8LNtevX8/169eZMGECixYtYvz48WRkZHDo0CFJp8QtW7aMmzdv0qlTJ2xtbfWykdjy5cs5fvw4ISEhbN26laZNm9KtWzfatGmjsdeCrowYMYI5c+YQHx9PaWkp+/btIy4ujsjISGbNmiVJDNXBqlWrANi7d6/Wx6W6IT1y5Ah79+4lMTERAFdXV/r06UOPHj101mZMTIzq67i4OLX3nlwux8vLi379+umsfaH2EIm/UCM5OjpqHIuPjyctLU1jWoO2c581Kysr7t69q5H8x8bGUqdOHZ23X13I5XKtve0FBQWSJVmvv/46c+fOZeLEiRQVFTFz5kwyMzPx8/OTZEFpbm6uxpQvqV28eJF3332Xxo0bs3TpUho2bIiLiwuOjo6cPHlSbd67Ll2+fJnp06frtayupaUlffr0oU+fPsTExHDkyBF+/fVXVq1aRceOHenevbvOe1r9/f355ptv2LVrFy4uLly5cgVvb29mz56Np6enTtuuTqrD/PVNmzaxd+9eevfurRptiYyMJDg4mNTUVJ39jZg5cyZQtrh47Nixkk+3E2oPkfgLNV5ycjI//PADd+/e1fq4FB82zz//PEFBQZiamqo2qbpx4wZr1qyRpGpIddGqVStWrFjBW2+9ha+vLwBRUVGsXLlSkmF8KJu//s033xAWFkZ0dLSqqk6zZs0kab9du3ZcuXJFkvKEVcnJyVHdhJqZmal2BA0ICGDlypWSxWFhYVGtKmvVq1ePgQMHYmlpyR9//MHRo0c5cOAAfn5+TJw4kbp16+qsbU9PT0kqSlVnISEhdOjQASMjI7XjJSUlnDp1SpKFvwcPHmTSpEl07NhRdSwwMBBPT0+CgoJ03jnwzjvv6PT1BUEk/kKNFxQUhKOjIzNmzODdd99lzpw55OTksHbtWl5//XVJYnjttddITU3lm2++UVWvUSqVdO7c+V9RbehZGTduHIsXL+aLL75QlfQsLS0lMDCQcePGSRpLkyZNaNKkiSRt7du3T/W1i4sLmzdvJioqCk9PT43SplIsHnR2diY1NRVHR0c8PDwIDQ3F19eXCxcuVLmrsi4MGzaMLVu2MHnyZI3qKVIqKSnhwoULHD16lKtXr+Lj48Mbb7zB888/T05ODhs2bGD+/Pn89NNPOml/2LBhapVcytW2Si5LliyhRYsWGtchPz+fJUuWSJL4KxQKrQvNfXx8KC0t1Xn7gqBrIvEXaryoqCi+/PJLrKyskMlkGBgYEBAQwIgRIwgKCpKkRrZcLmfq1KkkJCSo9hLw9PSUZJpRdWJhYcG0adNISkoiPj4eKCtZKEU1n8quXbvGtWvXyMrKQqFQqD2mix63R+csm5qacuPGDW7cuKF2XKqqIV27diUmJoZGjRoxcOBAvv32W/bv309paSljxozRadvTpk1Tm8uflJTExIkTcXR01Jju9d133+k0FoDVq1dz6tQpoKy058iRI9Wm15iamjJy5EgmT56s81geVVxcLNkUuOpC2zqP9PR0yaa+dOrUiQMHDmj8Hhw6dEhtFEAQ/q1q118UoVZSKBSq6hBWVlaqUpIODg4kJCRIGoubmxtubm6Stlkdubi4PDbZHzNmDN9//71ONjLbunUr27Zto379+hpVdXSlcqWQ6qDy5kRNmjRhwYIF3L59G2dnZ53PZ2/durVOX/+fio+PZ9y4cbRr167KJNvW1lY1B/tZqjwSdPjwYbUqNgqFgps3b+Lu7v7M261uKt8Mfv3112qjYAqFgpSUFJo3by5ZPEeOHOHq1as0aNAAKOs8SktLo0uXLmrVd3R9kywIuiASf6HGq1u3LrGxsTg7O+Pr68uuXbuQy+UcOnRIpzvkBgcHM2zYMExNTdU+LLQRHyDqdLmh+MGDB5k8eTKdO3fWWRtPS8pygZWlpKSoLTR3cHCQrIzlkCFDJGnnaX355ZdPPMfQ0FC1NudZqjwSdPDgQbVN7ORyOU5OTjV+bw+ouBmMiYmhefPmajdAcrkcR0dH2rVrJ0kscXFxqn0cyjdPs7KywsrKiri4OEliEARdEom/UOMNGjSIwsJCoGyu/bfffsvMmTOxtLRUlXTUhZiYGNWc0Mql2gT9Kikp0XttdH2UC6zsvffew8/Pj86dO9O+fXu9L7C9ffs29+7dA8qmfkm5gdaOHTuwtrbW2En5yJEjZGVl6bTsavlI0KxZs/jwww/1/v+gL+U3g46OjnTo0EGvG1XpYmRHEKoTmVKXXWuCUE3l5ORgYWGhl7rhwpONHj2aefPm6WREZv369Ziamkq+Q265qsoF7t+/nz59+khSUjQ6OppTp04RGhpKVlYWzZs3p1OnTgQGBmpUVNGl9PR0Fi5cSEREhGoOd15eHn5+fkyZMkWSUYjJkyfz/vvv4+/vr3Y8KiqKBQsWVLtpWrVBSUmJ1g3d9LG5miDUNKLHX6iVamvPmlC2YPLw4cNcu3YNLy8vjao6up52pe9ygVBWocTHx4dRo0Zx/fp1Tp48yYoVK1i2bBlt27aVrKTg0qVLKS0t5aefflKtfUlISGDp0qUsW7aML774QucxZGZmYmtrq3HcysqKzMxMnbcPZfPYjx07VuWC89rSC52YmMjSpUuJiIjQ+nhtqW4kCLokEn9B0JEffvjhqc/96KOPdBjJv48uR2Lu3r2rWsCqjzm71alcoEwmU5U17dWrF8uWLSMkJESyxP/mzZv83//9n9qCdzc3N8aNGyfZTs729vaEh4drbK4XERGh9YZAF4KCgjh27BgtW7bU6V4B1d2SJUswMDBg+vTpkl17QahtROIvCDoidl787+lyBqK+e0+rU7nAtLQ0Tp06xcmTJ7l79y5+fn6MHz9esvYdHBy03uwoFArs7OwkiaF79+4EBwdTWlqq2tfh2rVrbNiwQa36kS6FhoYydepUWrZsKUl71VVMTAzffvttrahkJAj6IhJ/QdARsQOjpuvXr9O4ceMnnvfZZ59Jlvjpg77LBR46dIgTJ04QERGBm5sbHTt25OOPP9bo9da1UaNGsXr1asaPH4+Pjw8ymYzbt28TFBQk2eZ6AwYMICcnh1WrVlFSUgKAsbExAwYM4JVXXpEkBrlcLvleFtWRh4cH2dnZ+g5DEGo0sbhXEATJjBw5Ejs7O7p27UqXLl30slhv3rx5VU4lMjY2xsXFhY4dO+psv4VZs2Y99bm6Gp14++236dChA506ddJ53f7HGTduHIWFhZSWlqrt5GxoaKixk29QUJBOYykoKCA+Ph5jY2NcXV0lXeS8e/dukpOTGT9+fK0uOBAWFsamTZsYPny41l2txSiqIPzvROIvCBI5c+YMoaGhpKenq3oWy0mxQ2l1kJOTw/HjxwkJCSE2NpamTZvSrVs32rRpI9kOpYsXL+b8+fNYWFjg7e0NwJ07d8jLy6NZs2bExsaSmprKjBkzCAgIkCQmbdLT07G1tVWr7f6sKJXKapFgHjt27KnP7dq1q87iKJeeno5MJpN8tGnevHlcv34dS0tLPDw8NH4XassaoGHDhj32cbG4VxD+dyLxFwQJ7Nu3j02bNtGlSxcOHz5M165dSU5O5vbt27z44osMHz5c3yFKLiYmhiNHjnDq1CmUSiUdO3ake/fuOu+B3rBhA/n5+bzxxhuqpFqhULBmzRpMTU0ZPnw4K1euJC4ujm+++UansTyOLncvLldYWEhaWprGjaiXl5fO2vxv7Ny5k549e2JhYfHMX1uhULB9+3Z2795NQUEBAGZmZvTt25dBgwbp5MbrUUuWLHns47Vl2uCNGzce+7guNlEThNpGzPEXBAkcOHCAN998k44dOxISEsKAAQNwdnZm8+bN5OTk6Ds8vahXrx4DBw7E0tKSP/74g6NHj3LgwAH8/PyYOHGizqqbHDlyhG+++UYtoTMwMOCll15ixowZjBgxgpdeeumpdnTVJV32yWRlZbF48WIuX76s9fHq1rO6Y8cO2rdvr5PEf9OmTRw5coSRI0fi7++PUqkkIiKCrVu3UlxcLMlNeW1J7J9EJPaCoHu678oQBIG0tDTVBkHGxsbk5+cD0LlzZ06dOqXP0CRXUlLCmTNnmDt3LpMnT+bKlSu88cYbrFy5kkWLFmFvb8/8+fN11r5CoSAhIUHjeEJCgqp+upGRUbWYCqMra9asIS8vj9mzZ2NsbMznn3/O5MmTcXV15ZNPPtF3eBp0eRMUEhLCW2+9Ra9evfDy8qJevXq8+OKLTJo06R9NRRKejZs3b/Lzzz/zxRdfkJGRAcDx48cJDw/Xc2SCUDOIHn9BkICNjQ3Z2dk4Ojri6OhIVFQU9erVIyUlRadJTXWzevVq1Y1Op06dGDlyJJ6enqrHTU1NGTlyJJMnT9ZZDJ06dWLp0qW88sor+Pr6AnDr1i127NhB586dgbIpBx4eHjqLQd/CwsKYNm0avr6+GBgY4ODgQLNmzTA3N2fHjh21qqxkTk6O1oXc7u7uOh2N++STT5gxYwaWlpZMmzbtsTeatWUN0JkzZ1i0aBEdO3bkzp07FBcXA5Cfn8+OHTv49NNP9RyhIPz7icRfECTQpEkTLl68iI+PD926dSM4OJgzZ84QHR1NmzZt9B2eZOLj4xk3bhzt2rWrcjGvra2tTmvtjx07FhsbG3bt2sWDBw8AsLa25uWXX2bgwIEANG/enBYtWugsBn0rLCzEysoKKNvFOisrCzc3Nzw9Pblz546eo5OWl5cX+/fv54033lA7vn//fp2uNwkMDFRVDmrdurXO2vk32b59OxMnTqRLly6Ehoaqjvv7+7Nt2zY9RiYINYdI/AVBAm+++aaqZ79Xr17UqVOHmzdv0qpVK3r16qXn6KTz6quv4u/vr1Gmr7S0lIiICBo1aoShoaFO5/oaGBgwaNAgBg0aRF5eHqBZJlAfZUYfpcupRm5ubiQkJODk5ISXlxeHDh3CycmJAwcO1LodU0eNGsXcuXO5du0afn5+yGQyIiIiSE9P12kP85AhQ7R+/TgnT54kMDAQU1NTXYWlVwkJCTRs2FDjuJmZmep3VRCE/42Y4y8IEjAwMKC0tJRbt25x8eJFjIyMaNasGU5OTlUusKyJZs2apXX6RF5e3j+qb/+smJubV9va4LqcAtanTx8yMzOBsqTz8uXLvP322/z555+1rsJUo0aNWLhwIW3atCE3N5ecnBzatm3LggULtCah+rRy5UrVKFVNZGtrS1JSksbx8PBwyTeXE4SaSvT4C4IELl++zC+//FLlnOHqVkVFl7T1ZGdnZ0vai/lv2FNh/vz5Oqsn36lTJ9XX3t7eLF68mHv37uHg4KCaAlSdNGzYEGNjY529vp2d3b/ihqemrwd64YUXWLNmDW+//TYymYz79+8TGRnJunXrePXVV/UdniDUCCLxFwQJ/Prrr7Rv355XX30VGxsbfYcjuR9++EH19eLFi9V2RVUoFMTGxuLn5ydJLJX3VLhw4YLGngq6UPnnf5LyzZqknG5kYmKCj4+PJG39kykb5aMxul7UmZuby61bt3jw4IFGct2lSxedti1UGDBggGr0r7i4mJkzZyKXy+nXrx8vvfSSvsMThBpBJP6CIIGsrCz69u1bK5N+UJ9Db2ZmptZ7K5fLadCgAT169JAkFn3sqVAdphMFBwc/9bljxozRWRzjxo176nOlGAm7cOECv/zyCwUFBZiZmWmMSInEX1rDhw9n0KBBxMfHo1Qq8fDwqLFrGgRBH0TiLwgSaNu2LTdu3MDFxUXfoehF+QZFjo6O9OvXT68f5I/bU+Hzzz9n/Pjxz7zN6rBB07Fjx6hbt67GwmqpVa7YlJKSwsaNG+natatqxCcyMpKQkBDJpt6sW7eObt26MXz4cExMTCRpU9AuLy8PhUKBpaUl9evXVx3PycnBwMCgWtxAC8K/nUj8BUEC48ePZ/78+dy8eRNPT0+N5KtPnz56ikxaT1u9RJdq654KeXl5fPjhh1hbW/Puu+8yd+5c6tSpI3kclSs2bdu2jdGjR9OxY0fVscDAQDw9PTl06BBdu3bVeTwZGRn07t1bJP3VwIIFC2jVqpXGlLvQ0FAuXrwo6vgLwjMgEn9BkMDJkye5cuUKxsbG3LhxQ+0xmUxWoxP/6rZRUXXYU0Efi4stLCxISUnB2tqa1NTUanGTExkZycSJEzWO+/j4cOvWLUliaN68Obdv38bZ2VmS9h6lUCgIDw/H09MTS0vLx57r6Oio9xEbXYqKimL06NEaxxs3bsymTZv0EJEg1Dwi8RcECWzatImhQ4cycOBADAxqVxXd6rZRkb73VNDH4mIom242c+ZMVZ3+6dOnV/leXLRokc7iqMze3p6DBw9qJHuHDh3C3t5eZ+1euHBB9XXLli1Zv3498fHxeHp6amwsFxgYqLM4oKzU7+zZs/npp5+emPj/+OOPOo1F30pKSlAoFBrHS0tLKSoq0kNEglDziMRfECRQUlJChw4dal3SD//dRkW6ZGBgQFFREXfu3OHBgweqPRWgrOyqrhM9fSwuBpg0aRJt27YlKSmJoKAgevTogZmZmc7aexpjxozhxx9/5MqVKzRo0AAo6/VNSkriww8/1Fm78+bN0zj2+++/az1XigXGnp6eJCcn1/pa9fXr1+fQoUMauygfOHBAsqpTglDTicRfECRQvgX9oEGD9B1KtVBSUqK1dKIUJSz1vaeCPhYXl2vRogUA0dHR9OnTR++Jf8uWLVm4cCEHDhwgISEBpVJJYGAgPXv21Ol7obrtm/Haa6+xbt06hg0bho+Pj8Z6g9qyqPW1117jm2++ITY2liZNmgAQFhbGrVu3+OKLL/QcnSDUDCLxFwQJKBQKdu3axZUrV/Dy8tKYp6vL8onVSUJCAsuWLSMiIkLr41IkZPreU6E6LC6uDlWGyjk4ODBixAi9tR8SEkKHDh3U9paAspvTU6dOSVLOc86cOQB8//33Wh+vbjcquhIQEMDs2bPZtWsXp0+fxtjYGE9PT9566y1cXV31HZ4g1Agi8RcECcTFxeHt7a36urZaunQpBgYGTJ8+XTXXXGr63lOhOiwu1qfY2Fjq1q2LgYEBsbGxjz3Xy8tL5/EsWbKEFi1aYG1trXY8Pz+fJUuWSJL4Vy5xWtvVq1eP999/X99hCEKNJRJ/QZCA+GAvExMTw7fffou7u7veYtD3ngqPLi62tLQkPDxcssXF+jZt2jRWrFiBtbU106ZNe+y5UvV0a6s0lZ6eLtkUm8olTms7hUJBUlISWVlZGgt9xXUShP+dTFkdaroJglArfPrpp4wZM4aAgAC9xVBYWMj8+fOxsrLSy54KaWlp2NvbaySbSqWS9PR0SdY56FNqaioODg7IZDJSU1Mfe66jo6PO4igvLRsTE6OxsZlCoSAlJYXmzZvzn//8R2cxVJabm8uRI0e4d+8eAB4eHnTv3r3WzO+HsvKuP//8c5Xvi9oy5UkQdEkk/oIgSCYsLIxNmzYxfPhwrUm3FEnO4cOHWblyJcbGxhobWMlkMp2Xshw2bJiqx7uy7OxsJkyYIJIbiWzduhUo20Ssb9++artJy+VyHB0dadeunUZ5T124ffs2s2fPxtjYGF9fX5RKJdHR0RQVFfH555/Xmoo2H3/8Ma6urgwdOhRbW1uNm+PadBMkCLoipvoIgiCZb775BoCvv/5a6+NSJL3VYU8FbVNLCgoKMDY21kM0+pWUlMS+fftUPd3u7u706dNH51OxykvLOjo60qFDB71e++DgYAIDA5k0aZLqZri0tJRly5YRHBzMrFmz9BablMrLuOprGp4g1AYi8RcEQTLVYa2DvvZUCA4OVn29adMmtZKNCoWCW7duUa9ePUlj0rfLly/z/fffU69ePfz9/VEqlURGRvLhhx/yySefqPZX0KWuXbsC+i0xe/v2bbWkH8DQ0JABAwYwffp0nbdfXfj6+pKUlCQSf0HQIZH4C4IgmeqwOE9feyrExMSovo6Li1ObQiKXy/Hy8qJfv36SxqRvGzdu5OWXX2bkyJFqxzds2MCGDRskSfwTExNZunSpXkvMmpubk5aWprHoPS0tTe97LUipd+/erF27lszMTK1TAaWo8iQINZ1I/AVB0KnqVr5RX3sqlI92LFmyhLFjx4r5ysC9e/eYOnWqxvFu3bqxb98+SWJYsmSJ3kvMtm/fnmXLlvH666/j5+eHTCYjPDyc9evX8/zzz+slJn348ccfgbKyv9qI9S+C8L8Tib8gCDpV3co36ntPhcqbZ6WnpyOTybCzs5M8jurAysqKmJgYjc2ZYmJisLKykiSG6lBidvTo0aqF5aWlpUDZKFDPnj01RkNqMl0vrBcEQVT1EQRBx6pL+cbqQqFQsH37dnbv3k1BQQEAZmZm9O3bl0GDBultwbE+bNu2jb179zJgwAD8/f1VPd1//PEHffv2ZfDgwTqPoTqUmC1XWFhIcnIySqUSFxcXtXUggiAIz4JI/AVBECS0ceNGjhw5wtChQ1ULWiMiIti6dSs9evRg+PDh+g5RMkqlkr1797Jnzx7u378PgK2tLf3796d3795aqx89a9WhxKxQQV9VngShthCJvyAIOnXhwoWnPjcwMFCHkVQPkyZNYuLEiRo/6/nz51m1ahXLly/XU2T6lZ+fDyD5YtZhw4Y99nFdTT/74Ycfnvrcjz76SCcxVDdVVXmKjY2VrMqTINR0Yo6/IAg6NW/evKc+tzYs3svJycHNzU3juLu7Ozk5OXqIqHrQV/UafZWYFSMJmqpDlSdBqOlE4i8Igk7VhmT+n/Dy8mL//v288cYbasf3799f6+r4Z2Zmsm7dOsLCwrTW0JfivaOvErOVF3kLZapDlSdBqOlE4i8IgiChUaNGMXfuXK5du6Yq3RgREUF6ejqffvqpvsOT1JIlS0hLS2Pw4MHY2NhIMqe/KoWFhaSlpVFSUqJ2XMra8VlZWSQkJADg5uYmWWWj6qI6VHkShJpOJP6CIEiqoKCAGzduaE2y+vTpo6eopOPk5MTChQv566+/VAsY27ZtS69evVAoFHqOTlrh4eF8/fXXeh3pyMrKYsmSJVy6dEnr41KMOhQUFLB69WqOHz+uGvUwMDCgc+fOvPHGG7Wmuk+PHj1YsWIFycnJWqs8CYLwvxOJvyAIkrlz5w5z586lsLCQwsJCLC0tyc7OxtjYGGtr61qR+E+ePJkVK1ZoVO/Jzs5mwoQJtWpqlL29vcb0HqmtWbOG3NxcZs+ezaxZs/j444/JzMxk+/btjB49WpIY1q5dy82bN/nkk0/w9/cHym6KgoKCWLt2LRMnTpQkDn0bPHgwpqam7Nmzh99++w0oq/I0ZMgQevfurefoBKFmEIm/IAiSCQ4OplWrVkycOJGxY8cye/ZsDA0N+eWXX2pF0v84BQUFGBsb6zsMSY0dO5aNGzcyceJEnJyc9BJDWFgY06ZNw9fXFwMDAxwcHGjWrBnm5ubs2LGDli1b6jyGs2fP8p///IfGjRurjrVs2RJjY2N++umnWpP4y2Qy+vbtS9++ffVW5UkQajqR+AuCIJmYmBjefPNNDAwMMDAwoLi4GGdnZ0aNGsXixYtp27atvkPUmeDgYNXXmzdvVpu+oVAouHXrVq1b3LtgwQIKCwt57733MDEx0aihHxQUpPMYCgsLVfPHLS0tycrKws3NDU9PT+7cuaPz9stjsLa21jhubW1NUVGRJDFUBykpKZSWluLq6qqW8CcmJmJoaKi3m0NBqElE4i8IgmQqJ3bW1takpaXh4eGBubk5aWlpeoxM92JiYlRfx8XFIZdX/PmVy+V4eXnRr18/PUSmP2PGjNF3CLi5uZGQkICTkxNeXl4cOnQIJycnDhw4gK2trSQx+Pn5sWXLFt59913VqE9RURFbt27Fz89Pkhiqg8WLF9OtWzeNxb1RUVEcOXKEr776Sj+BCUINIhJ/QRAk4+3tTXR0NG5ubjRu3JgtW7aQnZ3N8ePH8fT01Hd4OlVeL37JkiWMHTtW1HEHunbtqu8Q6NOnD5mZmQAMGTKE2bNnc+LECeRyOZMnT5YkhrFjxzJnzhzefvttvLy8kMlkxMTEIJfL+eKLLySJoTqIiYkhICBA47ifnx+rV6/WQ0SCUPOInXsFQZDM7du3yc/Pp0mTJmRlZbF48WLCw8NxcXHh7bffrnVTXYQKRUVFGlWe9HFzVFhYyL1793BwcJC0hGRRURHHjx8nISEBpVKJh4cHnTp1qlXrPsaMGcNXX32Ft7e32vHo6Gi++uor1q5dq6fIBKHmEIm/IAiCoBcFBQVs2LCB06dPk52drfG41BWOyj8Opd5PYMeOHVhbW9O9e3e140eOHCErK4uBAwdKGo++fPvttxgbG/PBBx9gYGAAlK1/+emnnygsLOSzzz7Tc4SC8O8npvoIgiCZyov3KhOL92qn9evXc/36dSZMmMCiRYsYP348GRkZHDp0iBEjRkgWR0hICLt27SIpKQkAV1dX+vfvT+fOnSVp/9ChQ7z//vsax+vWrcuCBQtqTeI/atQoZs6cyZQpU2jYsCEAN2/eJD8/ny+//FLP0QlCzSASf0EQJCMW7wmVXbx4kXfffZfGjRuzdOlSGjZsiIuLC46Ojpw8eZJOnTrpPIY9e/awefNmXnzxRQICAlAqlURERLBy5UqysrIk2TgqMzNT60JiKysr1fqD2sDDw4N58+axf/9+YmNjMTY2pkuXLrz00ktYWlrqOzxBqBFE4i8IgmTE4j2hspycHNUoj5mZGTk5OQAEBASwcuVKSWL4888/mTBhAl26dFEda926NR4eHmzdulWSxN/e3p7w8HCNEa+IiAjJKgtVF3Z2dk8c7Vm1ahVDhw6VdA2GINQUBvoOQBCE2qV8Y57K8vLyUCgUeohG0CdnZ2dSU1OBst7e0NBQAC5cuICFhYUkMWRmZqp2y63M399fst727t27ExwczNGjR0lNTSU1NZUjR44QHBxMjx49JInh3+TEiRNa/44IgvBkosdfEATJNGzYkB07dmgs3tuxY4fWkQChZuvatSsxMTE0atSIgQMH8u2337J//35KS0slq/Hv4uJCaGgogwYNUjseGhqKi4uLJDEMGDCAnJwcVq1apapsZGxszIABA3jllVckieHfRNQkEYT/nqjqIwiCZOLj45k5cybm5uZaF+/V9Fr+wuOlpaVx+/ZtnJ2dJSvteubMGRYsWEDTpk3x9/dHJpMRHh5OWFgYU6dOpU2bNpLEAWVVjuLj4zE2NsbV1RUjIyPJ2v43GT16NPPmzcPZ2VnfoQjCv45I/AVBkFRGRoba4j0vLy+xeK+WSklJqRaVnKKjo9mzZw/37t0DwN3dnX79+mnUkxeqB5H4C8J/T0z1EQRBUk+zeE+oHd577z38/Pzo3Lkz7du3l/zmr6SkhBUrVjB48GCt5TQFQRBqGpH4C4KgU7GxsU99rpeXlw4jEaqbuXPncurUKbZv386aNWto3rw5nTp1IjAwUJJpLnK5nHPnzjF48GCdtyUIglAdiKk+giDo1LBhw576XKl3ahWqB6VSyfXr1zl58iRnz55FoVDQtm1b3nnnHZ23vWTJEjw9PSUp2yk8GytXrmTYsGGinKcg/BdE4i8Igk6Vl2t8Go6OjjqMRPg3iI6OZtmyZcTGxkpyI7h9+3Z2795NkyZN8PHxwcTERO3xPn366DwGoUJubi63bt3iwYMHGtV7Ku+1IAjCf0dM9REEQae0JfPx8fGkpaWpShc+7lyh5ktLS+PUqVOcPHmSu3fv4ufnx/jx4yVp+/Dhw5ibmxMdHU10dLTaYzKZTCT+Erpw4QK//PILBQUFmJmZIZPJ1B4Xib8g/O9Ej78gCJJJTk7mhx9+4O7du1ofF1N9apdDhw5x4sQJIiIicHNzo2PHjnTs2FFvlX7KPw4fTTgFaUyZMoXnnnuO4cOHa4y8CILwbIgef0EQJBMUFISjoyMzZszg3XffZc6cOeTk5LB27Vpef/11fYcnSOz333+nQ4cOjBs3TrK6/docOXKEvXv3kpiYCICrqyt9+vQRu+ZKLCMjg969e4ukXxB0SCT+giBIJioqii+//BIrKytkMhkGBgYEBAQwYsQIgoKC+P777/UdoiChJUuW6L13fdOmTezdu5fevXvj5+cHQGRkJMHBwaSmpvLaa6/pNb7apHnz5qoN3ARB0A2R+AuCIBmFQoGpqSkAVlZWZGRk4ObmhoODAwkJCXqOTpBaedJfWFiodc2HFOVdDx48yKRJk+jYsaPqWGBgIJ6engQFBYnEX0ItW7Zk/fr1xMfH4+npiVyunqIEBgbqKTJBqDlE4i8IgmTq1q1LbGwszs7O+Pr6smvXLuRyOYcOHRK9fLVQVlYWixcv5vLly1ofl2LNh0KhoH79+hrHfXx8KC0t1Xn7QoXly5cDZVPAtBFrgAThfycW9wqCIJnLly9TWFhI27ZtSU5O5ttvvyUhIQFLS0umTp1KkyZN9B2iIKGff/6Z1NRUxowZw6xZs/j444/JzMxk+/btjB49mpYtW+o8htWrV2NoaMiYMWPUjq9du5aioiImTJig8xgEQRCkInr8BUGQTIsWLVRfOzs789NPP5GTk4OFhYXe53oL0gsLC2PatGn4+vpiYGCAg4MDzZo1w9zcnB07dkiS+EPZ4t6rV6/SoEEDoGwtSlpaGl26dCE4OFh13qM3B4IgCP82IvEXBEGvLC0t9R2CoCeFhYWq3VctLS3JysrCzc0NT09P7ty5I0kMcXFx+Pj4AGXlZqFs/YmVlRVxcXGSxFCb7du3jxdeeAFjY2P27dv32HPFngqC8L8Tib8gCIKgF25ubiQkJODk5ISXlxeHDh3CycmJAwcOYGtrK0kMM2fOlKQdQbu9e/fSqVMnjI2N2bt3b5Xnic3UBOHZEHP8BUEQBL04ceIEpaWldO3alTt37jB79myys7ORy+VMnjyZDh066DtEQRCEGkUk/oIgCEK1UFhYyL1793BwcFBNARJqn5KSElJSUnB2dsbQ0FDf4QhCjSISf0EQBEEQ9K6wsJDVq1cTEhICwMKFC3F2dmb16tXY2dkxcOBA/QYoCDWAmOMvCIIgSKZylZwnEVV0apeNGzcSGxvLV199xezZs1XHmzVrxpYtW0TiLwjPgEj8BUEQBMnExMToOwShmjp//jwffPABfn5+auV9PTw8VBWXBEH434jEXxAEQZDM2LFjqVu3LgYGBvoORahmsrKysLa21jheUFCgh2gEoWYSf3kFQRAEyUybNo2cnBwA3n33XbKzs/UckVBd1K9fn7///lv1fXmv/+HDh/Hz89NXWIJQo4gef0EQBEEyFhYWJCcnY2VlRWpqKqK+hFBuxIgRzJkzh/j4eEpLS9m3bx9xcXFERkYya9YsfYcnCDWCqOojCIIgSGb58uUcP34cGxsb0tLSsLe3r3Laz6JFiySOTtC3u3fvsmvXLu7cuYNCocDb25uBAwfi6emp79AEoUYQib8gCIIgqcuXL5OUlERQUBBDhw7FzMxM63lip1ZBEIRnS0z1EQRBECTVokULAKKjo+nTp0+Vib9QuwwbNowVK1ZoLPDNzs5mwoQJbN68WU+RCULNIRJ/QRAEQS/eeecdfYcg/AsUFxcjl4t0RRCeBfGbJAiCIOhFQUEBO3fuJCwsjAcPHmgs9BVz/GuHffv2qb4+fPgwpqamqu8VCgU3b97E3d1dH6EJQo0jEn9BEARBL5YtW8bNmzfp1KkTtra2aps2CbXH3r17VV8fPHhQbbG3XC7HycmJiRMn6iM0QahxxOJeQRAEQS/Gjh3L9OnTCQgI0HcoQjUwa9YsPvzwQywtLfUdiiDUWKLHXxAEQdALCwsLkeQJKjNnzlR9Xd4nKUaBBOHZEj3+giAIgl4cP36cCxcuMHnyZExMTPQdjlANhISEsGvXLpKSkgBwdXWlf//+dO7cWc+RCULNIBJ/QRAEQS+mTZtGcnIySqUSR0dHjcot3333nZ4iE/Rhz549bN68mRdffJGAgACUSiURERH89ddfDBs2jL59++o7REH41xNTfQRBEAS9aN26tb5DEKqRP//8kwkTJtClSxfVsdatW+Ph4cHWrVtF4i8Iz4BI/AVBEAS9GDJkiL5DEKqRzMxM/P39NY77+/uTmZkpfUCCUAMZPPkUQRAEQdCd6Ohojh8/zokTJ7hz546+wxH0xMXFhdDQUI3joaGhuLi46CEiQah5RI+/IAiCoBcPHjxgwYIF3LhxA3NzcwDy8vJo3LgxH3zwAVZWVnqOUJDSkCFDWLBgATdv3sTf3x+ZTEZ4eDhhYWFMnTpV3+EJQo0gFvcKgiAIevHTTz+RnJzMu+++i4eHBwDx8fEsXrwYZ2dnPvjgA/0GKEguOjqaPXv2cO/ePQDc3d3p168f3t7eeo5MEGoGkfgLgiAIejFmzBhmzJiBr6+v2vFbt27xf//3f6xZs0Y/gQmSKykpYcWKFQwePBhnZ2d9hyMINZaY4y8IgiDohVKp1CjhCWBoaIjok6pd5HI5586d03cYglDjicRfEARB0IsmTZoQFBRERkaG6lhGRgbBwcE0adJEj5EJ+tCmTRvOnz+v7zAEoUYTU30EQRAEvUhLS2PevHncvXsXBwcH1TFPT08+/vhj1TGhdti+fTu7d++mSZMm+Pj4aOzm3KdPHz1FJgg1h0j8BUEQBL26evUq9+7dQ6lU4uHhQbNmzfQdkqAHkydPrvIxmUzGokWLJIxGEGomkfgLgiAIenPt2jWuXbtGVlYWCoVC7bF33nlHT1EJ+laemshkMj1HIgg1i6jjLwiCIOjF1q1b2bZtG/Xr18fGxkYkeQJHjhxh7969JCYmAuDq6kqfPn3o0aOHniMThJpBJP6CIAiCXhw8eJDJkyfTuXNnfYciVAObNm1i79699O7dGz8/PwAiIyMJDg4mNTWV1157Tc8RCsK/n0j8BUEQBL0oKSlRJXiCcPDgQSZNmkTHjh1VxwIDA/H09CQoKEgk/oLwDIhynoIgCIJedO/enZMnT+o7DKGaUCgU1K9fX+O4j48PpaWleohIEGoe0eMvCIIg6EVxcTGHDx/m2rVreHl5YWhoqPb4mDFj9BSZoA+dOnXiwIEDGv/vhw4dUhsFEAThvycSf0EQBEEv7t69S7169QCIi4vTbzBCtXDkyBGuXr1KgwYNAIiKiiItLY0uXboQHBysOk/cFArCf0eU8xQEQRAEQe9mzZr11OfOnDlTh5EIQs0lEn9BEARBEARBqAXE4l5BEARBEARBqAVE4i8IgiAIgiAItYBI/AVBEARBEAShFhCJvyAIgiAIgiDUAiLxFwRBEARBEIRaQCT+giD8f7t1IAAAAAAgyN96kIsiAGBA/AEAYCDLmLu/WIUhHgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hm = sns.heatmap(corrmat, \n", " cbar=True, \n", " annot=True, \n", " square=True, \n", " fmt='.2f', \n", " annot_kws={'size': 10}, \n", " yticklabels=df.columns, \n", " xticklabels=df.columns, \n", " cmap=\"Spectral_r\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8354eec3", "metadata": {}, "source": [ "Question - which data are most correlated. If you had to choose to drop one column based on the relation to the target, which would it be? If you had to drop one of the strongly correlated columns, which would it be? " ] }, { "cell_type": "code", "execution_count": null, "id": "4d208442", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.13" } }, "nbformat": 4, "nbformat_minor": 5 }