"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# correlation\n",
"correlation = dataset.corr()\n",
"plt.figure(figsize=(15,15))\n",
"plt.title('Correlation Matrix')\n",
"sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 4. Data Preparation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 4.1. Data Cleaning\n",
"Check for the NAs in the rows, either drop them or fill them with the mean of the column"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Null Values = True\n"
]
}
],
"source": [
"#Checking for any null values and removing the null values'''\n",
"print('Null Values =',dataset.isnull().values.any())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Getting rid of the columns with more than 30% missing values. "
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(4804, 28)"
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"missing_fractions = dataset.isnull().mean().sort_values(ascending=False)\n",
"\n",
"missing_fractions.head(10)\n",
"\n",
"drop_list = sorted(list(missing_fractions[missing_fractions > 0.3].index))\n",
"\n",
"dataset.drop(labels=drop_list, axis=1, inplace=True)\n",
"dataset.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Given that there are null values drop the rown contianing the null values."
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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2000-01-03
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29.847
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35.477
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3.531
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26.65
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14.561
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21.582
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43.004
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16.984
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23.522
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23.862
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...
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38.135
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4.701
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32.228
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20.159
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21.319
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5.841
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22.564
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47.338
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21.713
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2000-01-04
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28.661
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34.134
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3.233
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26.61
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14.372
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21.582
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40.577
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17.041
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24.900
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23.405
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36.846
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4.445
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16.122
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31.596
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19.890
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20.446
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5.766
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21.834
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45.566
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20.907
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2 rows × 28 columns
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"
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" MMM AXP AAPL BA CAT CVX CSCO KO DIS XOM ... \\\n",
"Date ... \n",
"2000-01-03 29.847 35.477 3.531 26.65 14.561 21.582 43.004 16.984 23.522 23.862 ... \n",
"2000-01-04 28.661 34.134 3.233 26.61 14.372 21.582 40.577 17.041 24.900 23.405 ... \n",
"\n",
" MSFT NKE PFE PG TRV UTX UNH VZ WMT WBA \n",
"Date \n",
"2000-01-03 38.135 4.701 16.747 32.228 20.159 21.319 5.841 22.564 47.338 21.713 \n",
"2000-01-04 36.846 4.445 16.122 31.596 19.890 20.446 5.766 21.834 45.566 20.907 \n",
"\n",
"[2 rows x 28 columns]"
]
},
"execution_count": 123,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Fill the missing values with the last value available in the dataset. \n",
"dataset=dataset.fillna(method='ffill')\n",
"\n",
"# Drop the rows containing NA\n",
"#dataset= dataset.dropna(axis=0)\n",
"# Fill na with 0\n",
"#dataset.fillna('0')\n",
"\n",
"#Filling the NAs with the mean of the column.\n",
"#dataset['col'] = dataset['col'].fillna(dataset['col'].mean())\n",
"\n",
"dataset.head(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 4.2. Data Transformation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All the variables should be on the same scale before applying PCA, otherwise a feature with large values will dominate the result. Below I use StandardScaler in scikit-learn to standardize the dataset’s features onto unit scale (mean = 0 and variance = 1)."
]
},
{
"cell_type": "code",
"execution_count": 124,
"metadata": {},
"outputs": [
{
"data": {
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2000-01-04
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-1.077
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"\n",
"[2 rows x 28 columns]"
]
},
"execution_count": 124,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"scaler = StandardScaler().fit(dataset)\n",
"rescaledDataset = pd.DataFrame(scaler.fit_transform(dataset),columns = dataset.columns, index = dataset.index)\n",
"# summarize transformed data\n",
"rescaledDataset.head(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"# 5. Evaluate Algorithms and Models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will look at the following Models:\n",
"1. Principal Component Analysis (PCA)\n",
"2. Kernel PCA (KPCA)\n",
"3. t-distributed Stochastic Neighbor Embedding (t-SNE)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 5.1. Principal Component Analysis (PCA)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The idea of principal component analysis (PCA) is to reduce the dimensionality of a dataset consisting of a large number of related variables, while retaining as much variance in the data as possible. PCA finds a set of new variables that the original variables are just their linear combinations. The new variables are called Principal Components (PCs). These principal components are orthogonal: In a 3-D case, the principal components are perpendicular to each other. X can not be represented by Y or Y cannot be presented by Z.\n",
"\n",
"The cumulative plot shows a typical 'elbow' pattern that can help identify a suitable target dimensionality because it indicates that additional components add less explanatory value."
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [],
"source": [
"pca = PCA()\n",
"PrincipalComponent=pca.fit_transform(rescaledDataset)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We find that the most important factor explains around 30% of the daily return variation. The dominant factor is usually interpreted as ‘the market’, whereas the remaining factors can be interpreted as industry or style factors in line with our discussion in chapters 5 and 7, depending on the results of closer inspection (see next example). \n",
"\n",
"The plot on the right shows the cumulative explained variance and indicates that around 10 factors explain 60% of the returns of this large cross-section of stocks. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First Principal Component /Eigenvector"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-3.51727385, -3.73472763, -3.64225264, ..., 12.28734111,\n",
" 12.38998517, 12.3841529 ])"
]
},
"execution_count": 126,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"PrincipalComponent[:, 0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Eigenvalues"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([2.35375812e+01, 1.91769936e+00, 6.96665482e-01, 6.24378183e-01,\n",
" 4.31320654e-01, 1.95226727e-01, 1.18718582e-01, 1.04179884e-01,\n",
" 7.38085672e-02, 5.06949081e-02, 4.62548761e-02, 3.96126584e-02,\n",
" 2.55200037e-02, 2.34257762e-02, 1.75389911e-02, 1.71545445e-02,\n",
" 1.48649870e-02, 1.36552429e-02, 1.01214103e-02, 8.60288882e-03,\n",
" 7.68205199e-03, 6.15718683e-03, 5.48535222e-03, 4.77565112e-03,\n",
" 4.68816377e-03, 4.44545487e-03, 2.87404688e-03, 2.69688798e-03])"
]
},
"execution_count": 127,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Explained Variance"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"NumEigenvalues=5\n",
"fig, axes = plt.subplots(ncols=2, figsize=(14,4))\n",
"pd.Series(pca.explained_variance_ratio_[:NumEigenvalues]).sort_values().plot.barh(title='Explained Variance Ratio by Top Factors',ax=axes[0]);\n",
"pd.Series(pca.explained_variance_ratio_[:NumEigenvalues]).cumsum().plot(ylim=(0,1),ax=axes[1], title='Cumulative Explained Variance');\n",
"# explained_variance\n",
"pd.Series(np.cumsum(pca.explained_variance_ratio_)).to_frame('Explained Variance_Top 5').head(5).style.format('{:,.2%}'.format)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Factor Loading"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Eigenvectors are unit-scaled loadings; and they are the coefficients (the cosines) of orthogonal transformation (rotation) of variables into principal components or back. Therefore it is easy to compute the components' values (not standardized) with them. Besides that their usage is limited. Eigenvector value squared has the meaning of the contribution of a variable into a pr. component; if it is high (close to 1) the component is well defined by that variable alone.\n",
"\n",
"Here orthonormal eigen vectors (i.e. the term Orthonormal Eigenvectors ) provides a direction and the term Square root of (Absolute Eigen values) provide the value.\n",
"\n",
"Although eigenvectors and loadings are simply two different ways to normalize coordinates of the same points representing columns (variables) of the data on a biplot, it is not a good idea to mix the two terms."
]
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {},
"outputs": [],
"source": [
"loadings= (pca.components_.T*np.sqrt(pca.explained_variance_)).T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Factor loadings of the First two components"
]
},
{
"cell_type": "code",
"execution_count": 130,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# plotting heatmap \n",
"sns.heatmap(topComponents) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### PCA to Reduce Dimension"
]
},
{
"cell_type": "code",
"execution_count": 132,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(4804, 2)"
]
},
"execution_count": 132,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca2 = PCA(n_components=2)\n",
"projected_data = pca2.fit_transform(rescaledDataset)\n",
"projected_data.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 5.2. Singular Value Decomposition (SVD)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This transformer performs linear dimensionality reduction by means of truncated singular value decomposition (SVD). Contrary to PCA, this estimator does not center the data before computing the singular value decomposition.\n",
"\n",
"We are using the TruncatedSVD method in the scikit-learn package (Truncated-SVD is a quicker calculation, and using scikit-learn is more convenient and consistent with our usage elsewhere) to transform the full dataset into a representation using the top 300 components, thus preserving variance in the data but using fewer dimensions/features to do so. This has a similar effect to Principal Component Analysis (PCA) where we represent the original data using an orthogonal set of axes rotated and aligned to the variance in the dataset."
]
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {},
"outputs": [],
"source": [
"ncomps = 20\n",
"svd = TruncatedSVD(ncomps)\n",
"svd_fit = svd.fit(rescaledDataset)\n",
"Y = svd.fit_transform(rescaledDataset)"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"NumEigenvalues=5\n",
"fig, axes = plt.subplots(ncols=2, figsize=(14,4))\n",
"pd.Series(svd_fit.explained_variance_ratio_[:NumEigenvalues]).sort_values().plot.barh(title='Explained Variance Ratio by Top Factors',ax=axes[0]);\n",
"pd.Series(svd_fit.explained_variance_ratio_[:NumEigenvalues]).cumsum().plot(ylim=(0,1),ax=axes[1], title='Cumulative Explained Variance');\n",
"# explained_variance\n",
"pd.Series(np.cumsum(svd_fit.explained_variance_ratio_)).to_frame('Explained Variance_Top 5').head(5).style.format('{:,.2%}'.format)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 5.3. Kernel PCA (KPCA)\n",
"PCA applies linear transformation, which is just its limitation. Kernel PCA extends PCA to non-linearity. It first maps the original data to some nonlinear feature space (usually higher dimension), then applies PCA to extract the principal components in that space. But if all the dots are projected onto a 3D space, the result becomes linearly separable! We then apply PCA to separate the components.\n"
]
},
{
"cell_type": "code",
"execution_count": 135,
"metadata": {},
"outputs": [],
"source": [
"kpca = KernelPCA(n_components=4, kernel='rbf', gamma=15)\n",
"kpca_transform = kpca.fit_transform(rescaledDataset)\n",
"explained_variance = np.var(kpca_transform, axis=0)\n",
"ev = explained_variance / np.sum(explained_variance)"
]
},
{
"cell_type": "code",
"execution_count": 136,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
Explained Variance_Top 5
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"
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"
0
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"
26.41%
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"
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"
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"
1
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"
25.96%
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"
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"
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"
2
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"
24.99%
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"
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"
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"
3
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"
22.64%
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"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 136,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"NumEigenvalues=10\n",
"fig, axes = plt.subplots(ncols=2, figsize=(14,4))\n",
"pd.Series(ev[:NumEigenvalues]).sort_values().plot.barh(title='Explained Variance Ratio by Top Factors',ax=axes[0]);\n",
"pd.Series(ev[:NumEigenvalues]).cumsum().plot(ylim=(0,1),ax=axes[1], title='Cumulative Explained Variance');\n",
"# explained_variance\n",
"pd.Series(ev).to_frame('Explained Variance_Top 5').head(5).style.format('{:,.2%}'.format)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 5.4. t-distributed Stochastic Neighbor Embedding (t-SNE)\n",
"\n",
"t-SNE models the similarities among points. \n",
"How does it define similarities? \n",
"First, it is defined by the Euclidean distance between point Xi and Xj. Second, it is defined as the conditional probability that “the similarity of data point i to point j is the conditional probability p that point i would pick data j as its neighbor if other neighbors were picked according to their probabilities under a Gaussian distribution.” In the following conditional expression, if point j is closer to point i than other points, it has a higher probability (notice the negative sign) to be chosen."
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 137,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#t-SNE \n",
"X_tsne = TSNE(learning_rate=100).fit_transform(rescaledDataset)\n",
"X_pca = PCA().fit_transform(rescaledDataset)\n",
"plt.figure(figsize=(10, 5))\n",
"plt.subplot(121)\n",
"plt.scatter(X_tsne[:, 0], X_tsne[:, 1])\n",
"plt.subplot(122)\n",
"plt.scatter(X_pca[:, 0], X_pca[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 139,
"metadata": {},
"outputs": [],
"source": [
"dfsvd = pd.DataFrame(Y, columns=['c{}'.format(c) for c in range(ncomps)], index=dataset.index)\n",
"svdcols = [c for c in dfsvd.columns if c[0] == 'c']"
]
},
{
"cell_type": "code",
"execution_count": 140,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9cAHndozz6LhvDhYz4a8rZSRHCBF0JEtQCA9prfnte1uxeku/afDZzJh4TtAFNWey2Wx89Kvh3PzqGlZ5sGfWjqMlzF21l8kjUvzYOyGE8IwEOEJ4aE1OIct25Flqu/uJSwKeZ+MJwzB4644MHnh3C+9vPmTpGFPDrMwcJg3vKtWOw4BpmszOzGX2qj0UnKzCZih6ntWKB8Z1Z2hakrwHRNCQKSohPKC15rUV2Zwod1/wLi7a3qyCm1qGYfDctefx9pRB2Czeqw4WVTDg8UWs2HmUUCg9IepmmibXvbyaJz7bwaGiCiqdJmVVLjbtK+LG19Yx4S8rZCd6ETQkwBHCIq01Ly7exYqsfEubaV7Zv6P/O+UnSimGd2vH65MGEWO3dpkoLHNw25wNPL9guwQ5IWp2Zi7r9xbV+/1vD5fQ7eEFTJ6zjtXZ+fI+EAEV0ABHKRWvlHpPKbVDKbVdKTVUKZWglFqklMqq+bNNIPsoBFQXxrvjjfW8tGQ3VRaim6SWkTw2vlcT9My/hndryx2jUoiJsHapMIGXV+xhdXa+fzsmAmL2qj1u22hg6c5jTJqznucX7JAgRwRMoEdwXgK+0Fr3BPoB24EHgSVa627AkpqvhQiY6mrFS1m8/Zil9qltY1nzYPCtlPKGUop7x/Zg1m0DiY+xtjdWlUtz37tbZWVVCCo4WWW5bYXT5G/Lc8jcddSPPRKifgELcJRSccAoYBaA1rpKa10ETARer2n2OnBlYHooRLVHP/qWw8XuL+wK6NA6isX3jmqWuTf1UUoxLL0tmx4Zw4DO8ZaOOXKigttmr5MgJ8TYPNzFVQN3vLVZ3gciIAI5gpMKHAPmKKU2K6VeU0rFAu211ocBav5sV9fBSqk7lVIblFIbjh2z9mQthDfmrTtgqV1cjJ3RPdsHTQE/XzMMgwcu6Wl5p/IVuwu49bU1cnMLIT3PauXxMRUOk7mr9vqhN0I0LJBXYjtwPvBPrXV/oBQPpqO01q9orQdqrQe2bdvWX30UAqsZBAmxkUzol+zXvgRaRmoC5yRbLwaYmXOcWyTICRkPjOtOhIejOADz1kmAI5peIAOcA8ABrfXamq/fozrgOaqU6gBQ86e1giNC+IHVG7OhYGK/ZIakJPi5R4GllOL9Xw6ldbT1KbiVOce5bfZaCXJCwNC0JH5xgecFHY+Xui+rIISvBSzA0VofAfYrpXrU/NXFwDbgY+C2mr+7DfgoAN0TAoDXvsq21O7mjM7cPaZ7WBQ5s9vtbHz4YlpFW0+iXrG7kHOnLeC1r7Il0GnGlFLcN64nibHWEs4B7Aa08aC9EL4S6GSBXwNvK6W2AucBTwFPA2OVUlnA2JqvhWhyWmueW7TLUttpE/qERXBTy26386+bBmCxRA4ApVUmT3y2g/4zFpK5K0+WDzdTSikibcpSLpYCbIbBjYO7+L1fQpwpoEs9tNZfAwPr+NbFTd0XIc60MusYlRY2yk6KjQjZxOKGDEtPYkLfZD742tqWDrVOVLi4efZ6oPoGGB9jo3NCLH06tmZCv45kpCaEVbDY3JimSVmViWkhPo2wKfp3iuf2YRLgiKYXOmtZhfAh0zS56+2NltqO693ez70JTkopnru2H1/vP05uQblX59DA8XIXxw8Ws+VgMfPW7Qeg/9lx/PfnGUREyNRGsJmdmUtxhbXtGDJSE5hz+6CwfAAQgScBjhB1mLUih+JKa7kiV/Q/28+9CV6GYbDo3lGc/8QSyzc9KzYfKKbbIwsBsBmQmhTLtAm9GZbeVkZ3AuxfX+ZYXlm4eV8ha3MLGZYuK11F01OhMA8+cOBAvWHDhkB3Q4SQ82csoLDM/Q27Q1w0qx4aHfY3XafTSf/HF1NiZU7PSzYFibER5J90cHromZYUw/QrzmF4Nwl+mkLqQ59amp6qZVCdZNwmNpIbBnVm0vCuMqIjGsvSB13eZUKcQWttKbgBeO7avnJTpSbp+OYBfjl37U/XpSHvjOAGIDu/nJtnr+e8aV+QuUt2Mw82JlBQ6mB3XilPfLqdy/+yApfLf4GwELVkikqI05imyaMffWepbasoG0PTkvzco+ZjWHoSI9ISycwuCMjrn6g0uXn29yO5UTbFNQM6MmPiOSGxL1iwSGgRQb6XdW00sP3ISW6bvY43p2bIw4HwKxnBEaKGaZrc8Ooa3lq7z1L7e8Z0kwv0aZRSvD55ED3PaunT83o7HlPp0ry97gBpf/yCrg9+ytS563A6fZcnFK5+Piqt0efIzC5k1W7ZYkf4lwQ4QtSYs3IPG/cct9S2U3w0k4Z7XtE11NlsNj77zUgeGd+LpCAr7rZ4xzF6PbqAqirrO2KLH5syMsUnN44H3t0q04nCryTAEaLGvHV7cVq83j55ZW9JlKyHYRhMGZHK+ofH8pvRabSOCZ6ZcIcJfWcslpGcRjAMgwu6JTb65nG4uJI1OYGZzhThQa7QQtQ4VmL9yf6Jz6xVOA5nSinuHduDf908gIt7tCXC9sPpvAGdW/PG7efX+T1/qnBq0h9eQM8/fsrLy3bJ1hFeuPPCdBJbRtLYX9uszFzfdEiIOgTPo5UQzUh2/slAd6FZUEoxNC2pwWTsUT07/OBrl8vF9Pnb+N+mA5Q5TAwFraMjKamowuHDWKTCBTMXZPHXpVn865ZBsszcAxmpidw4pDMfbj7IvsJyr/Okth8u9mm/hDidBDhC1EhqGWG5WJ0ndUCEZ2w2GzOuPJcZV5576u+01qzJzufPC3ex5cAJXD78BZx0wM2z1xNtV9w3phtTR6XJ9KMbSinuGdOdoWlJfLBxHx9tOUKF0/PoUz5Gwp8kwBGiRlyU9Y9Diwi5ATYlpRRD09vyfk1F3DNHeXyRq1rh1Dz1xS7eXLOXZQ9ciN0ul8eGKKXISE0kIzWRmT81mbtqL/PW7SWvuJJKh4tou+JEA9XA7Yaid4e4JuyxCDdSyViIGuc+9jklFrdnuHVoZ2ZMPNd9Q9EkXC4Xt81eR2Z2oc/O2SEuEg1UOTUJLaUKr1Vaa15anMXCbYfZffQkVXV8pAwFiS0j+cv1/aWWlPCGpblkCXCEqNH1wU8ttUtuHcWK310kxeOCjNaa1dn5PPbxd2Tllfr8/AYwsGsb/nNnhgQ5bmitWZtbyIeb9rPgu6MUlTvRVAc2MRE22raK5MrzOnL3mO6S9yS8IQGOEJ6wEuCM7dWWf908QIKbIOdyuZj28Xe8tXa/X/I80tu2YNqEPpKYbEFtsDN/yyEOn6igQ+toJvRLZkhKgvzshLckwBHCE1YCnNyZl8lFuRkxTZPZmTk8+dlOnwc6NgW/ujCVe8f1lPdEI2itWZNTyCdbvw+AxvdNJiNVAiBRL0tvDMmiE8IDcsFtXgzDYOqodG4f1pW75m1m4bY8n53bpeGttfsZ1q0dGamJPjtvONFa8+KiXXy09RAny524tGarUqzMzufKfskyhSUaRQIcIWpE2qCqgU2OI5uwGJ3wLbvdziu3DjqVp3PX25soKm98NePCMgcff31QAhwvrc4uYN76fRSXVtc4qs1Hzi+t4q9Ld3N+p7gf1UkSwirJlBOiRnJcZKO+L4KfUoph6W3Z9MhYHr6sB3YfXAG/3HVM9lTy0uyVuRwvqaLytOCmlkvDrXM38dD/trA6u0B+xsJjEuAIUaOgrOEn+kIfPPGL4FA7dbXriUt55PKejQp0DhZVMPq55azMkkDHU98dOoG7T9V/Nxzgrrc38tt3t8i2GsIjEuAIUcNdDZziigbmr0SzZBgGU0amsWPGJXROiPH6PLn5Zdw0ax0XPbtMAh0PVDncf6ZcGo6XOXhv00Eufu5LVmfny89XWCIBjhAekCfI0GS321n+wIU8cnlPkmIjrS3RqMOegnKmzF3PCwt3yk3YAk8TiHMLyrjp1bXcNmstLpc8cIiGSYAjhAfmrNwT6C4IP6kdzdnwyFhyZl7Gv+8YQrd2sR6fp8Kl+cuybNIe+ow7Xl+P0ylTm/XRXoSSJvDV7gLG/22lPHCIBkmAI0SNpFj3ScQvL9/VBD0RgVa7C/qCe0bRuY13U1cmsGh7HufOWITD4fBtB0NEVCOSn7YfLmHuqr0+7I0INRLgCFHjxev6um2TVyrD4uHEMAyW3j+KTl4GOQDlVSZDnl4mUyp16N0hjshGFAV/c3WO7zojQo7UwRGixvBu7QLdBRGE7HY7X/72Quas2sOLi7MoqfB8yqmw1EG/6YuodLhw1KTmxEXb+L8L05g6Ki1s97aaMjKFrQdOUFhaidOLlKUDxyt83ykRMsLzUyVEHawmPFZVVfm5JyLYGIbBlBGpbHl0LCPTvdv9+mTV98ENVK/Ke+qLXVz3r1Vhm0uSkZrIDUM60SmhBa1jPH/edoTnj01YJAGOEB7q+ajkVIQrwzB4ffIgru6fjOGjwtbr951gzspc35ysmVFKcc+Y7sz8aV/G900mMTYi0F0SIUQCHCFOY+WeZQLXvrza310RQcowDJ679jzemjKYeC9GHeryzBc7w3YURylFRmoiT151LmsfGk1shGyJInxDAhwhTtOhdbSldpsPlITtDUn8cMuHR8f3Jtni+6Y+VS7NrBWSMGu329ny2DjG9GxreQG51BsS9ZEAR4jTTBmRYrnt7/63VS6uYc4wDCaPSGHlg6O54tz2jTrX02E8inM6u93Oa7cPJvfpy4myuw9zXli4Qz6Hok4S4AhxmknDu1qedli6PY+1uYV+7pFoDpRSvHjD+Vx9XgevqyC7NGGbi1Ofnw04222bvy7LYcXOI03QG9HcSIAjxGkMw+DvN/a31NZpauZvOeTnHonmwjAMnruuP29NGUSChaKRdXlx8W4ZjTjN9Cv60DG+4ek/DUx6fZPUGRI/IgGOEGcYlt6WPh0aLtEfYVO0iLRx+ITU4RDfU0oxvFs7NvzxYn56fkePdykvqXSyJqfAP51rhmw2G1/99kK37Vwaps3f5v8OiWZFAhwhzqCU4qNfjSAuqu4SqwqIstuIi4mwnJQswothGDz7s368MXmwxxfZWZkyTXU6m81madrvf5sO+r0vonmRAEeIOtjtdjY9MobUpB+O5ETaFLFRdpJaRhJpN5jQLzlAPRTBrnal1UOX9sDmwZV2RVY+f/zgG1ZnF8h0VY2YSPc/wLIqmaISPyQBjhD1sNvtLL5vFNec35GEFhHERdtJiI0kOT6altF2xvZqz5CUhEB3UwS5KSNTGdglAbvFyoBVTpMF3x3hD+9/w0uLsyTIAX56vvtkY0B2bhc/oELhwzNw4EC9YcOGQHdDhCitNWtzC5m/5RCHT1TQoXU0E/olMyQlwfL2DiK8mabJnJW5PPPFTqpcDV9zFdWJs7XG9mrLv24egM3WiF0pmzmXy0X3h7/AzY+OxNgI1v3h4rD+WYUJSxdeCXCEEKKJuFwuJv59Fd8eKvboOEPB78d1444L0sN2Y84VO49wy5yNbtvdktGJx6/s2wQ9EgFkKcAJz0+KEEIEgM1m4+P/G85P+3ekVbSNCJu1EUBTw8wFWQx5anHY7oM2ont7uia2cNtu3pr9Mq0nAAlwhBCiSRmGwbPX9uPVWwdx7cBORNkNIixeiY+ddDDwqaVhWfNFKcWwtES37VzAi4t2SZAj8M1OcUIIISyr3WAyIzWRo8UVrNpdgMO0FrScKHdy6UuZnJ3Qgg6toxnfN5mM1PDIB5vQryPz1u132+711XvJSEtkaFpSE/RKBCsJcIQQIoAmD09hy4EiyhzWR2Wy8k6Sk38Spwlvr90HQEKMjZeuP48R3duHbLCTkWpt1WJJpYNZmbkS4IQ5maISQogAGpqWyI2DOluepoLqVVbOM/blLCx3ccucjVzwzGJWZh0LySkay4Gbhm2HPUvkFqFHRnCE8DOtNWtyCvlka/Uy8/atIrHbDFZnF3C8zEGb2AhuGNSZScO7hu0KmXCmlOKesd1pGWXjyc93Nvp8+4qquGnWOoanJvDGlMEht2Q62m5QcWZ0dwalvl9mc+bnL9ym9cKZBDhC+JHWmpcWZ7F4x1EiDYOKKgfLd+Zh1jxc2xWcrHDwpwU7WLTtKPPuGCJBThhSSjF1VBonyquYlbmXcjc3cCtW5hRy2Usr+PyeUSH1njq7TQy7j5U22MZQBr06xKFT0HscAAAgAElEQVS15sXFu/hw00GOnaykwmGigf+u38/QtETm3D4w5AJA8b3QedcLEYRWZxfw/ub95B4rYdP+IrYdLT0V3AA4NVS6NGjN5v3Hmbtqb+A6KwJKKcX9l/Ri9qRBXNyjrbVCH27szCsNuffU4JQEWkbWH5QoIL5FBFNGpLAmp4C31+xl3/FyyhwmJtXTew5T81VWPuP/molpNj6YFMFJAhwh/ERrzROffMu+wgpKqxrOh6h0ARrmrQutm5HwjFKKoWlJzJo0mN1P/oRbh3YhLtpOhE0RG2kQabFuzulC7T01oV9HuibFkt62xY/2+DIUtI+L4sbBnclITWTWilyKyhzU9+nbfuQks2Vz05AlU1RC+Mnq7AK2H2l4KP10lS5NQUmlH3skmhObzcaMiecwY+I5QHXA/MC7W3h/08F6b9h1OV5a5Z8OBkhGagJjerVn8Y6jnHd2GyqdLo4UV1DhcJGSFMsfLutFRmoiSim2HS7G6eaH9cwXO5g0vKtMVYUgCXCE8JPZK3M9uhEBnKx0YppmSOVMCN9QSvHna/qiTZP3vz5s+bjyKhda65BJqFVKcfeYbmSkJZ7aH65fp/gf7Q9nmibHy9wHdw4Txv9tJZ/+eoR87kJMwH+bSimbUmqzUuqTmq9TlFJrlVJZSql3lFKRge6jEN7wZpmqw4RZmTl+6I0IBYZh8Nx1/Xlr8kBiI61dvitdJmtzC/3cs6ZVWyjxyavOZfbtg3jyqnNPjdpAdXBz2+x1lDus5dfsOFwScrlKIggCHOBuYPtpXz8DvKC17gYcB6YEpFdCNJK3z8t/W5bt036I0KKUYkT39nwz7RJiIty/y7QJ87ccaoKeBQetNQ/8dwsrdhdYP4bQy1USAQ5wlFJnA5cDr9V8rYDRwHs1TV4HrgxM74RonF5nxXl13Ilyp497IkKRYRi8cvMAt+1sBhwuKm+CHgWHNTmFfP7dEY+PKzwZWrlKIvAjOC8CvwNqxxETgSKtde0V/gDQsa4DlVJ3KqU2KKU2HDt2zP89FcJDU0amYA/0J0yEtBHd2zEireHtCxwmLN15jCFPLuS1r7JDfln0J1sPUWFxaup0MQ0sPRfNU8Auv0qp8UCe1nrj6X9dR9M68zS11q9orQdqrQe2bdvWL30UojEyUhO5ol+yx1NVoZEKKpqCUorXJw+mc0KM27ZHSxw88dkO+s9YSFVVaI5WuFwulu/M8zi5HyA2StbchJpAPl8OB65QSu0B/kP11NSLQLxSqvaddjYQPpPHIqQopXj2Z/24un8yUR48HEbZVcg/ZQvfsdlsLLv/AsujhScqXPR8dFHIBTkul4tRf17OwaIKr44vKXf4uEci0AIWsmqtHwIeAlBKXQg8oLW+SSn1LnAN1UHPbcBHgeqjEI1lGAbPXnsePxvUmY82H2BtbiE5+WUNHlPh1Nz3n028cMOAgC3trd6/p4BZK3LZfqQYDfTuEMfk4SkMTUt02y+tNauzC3j1q92szi6g4oyNshNjI/jlBWlMHpEiS3N9wGaz4fIgJjaBITOXsfGRsSHz8582fxuHiiow+D7nwRPFFY6QWk4vgrMOzu+B/yilngA2A7MC3B8hGqV2SWtGaiJQXQDwjjfWc7LSVe8xH249yk8HHGVkj7Oaqpun1O7fM2/tPgpOVp26WRwqqmDx9jyfvEZBafV0yf82HeSTXw+XIms+oBR4soH48XInc1btYcqIVP91qgl99PUhFNU/B2/mqMqqTFZn5zMsXVIeQkVQhO5a6+Va6/E1/5+jtR6stU7XWv9May2lXUVIyUhtOCm01l3ztqA9uWP5yJqcQj76+hDHTgtu/GX7kRJ6P7qAzF1HA/JvDSVtWkR4fEwobVNQ7nBVB3leHq+BaR9/58suiQALigBHiHCilCIu2v3NqKTSyardTb9CcP6WgxxqwmXFlS7NzbM3kPLQZwx8fFFYrPTxh1+M8nwk5vAJ7/JVglFMhA2t+cFmtp7KyiuVQDuESIAjRAD07mCtRs6kuetxOpumLo5pmrz65W7eWb+fKldgLvL5pVU88dkOLv9LJi5X/VN44semjExlUJfWHq3Ca0wwEGwmnpfs9ehNLQ38ZUmWBDkhQoXCL3LgwIF6w4YNge6GOINpmsxZuYfZK3PJP1mJzVD0PCuO+8d2Z1h6Ulgn863OzueGV9daatu3Yxwf/d8Iv/y8TNNk1ooc/rF8N8fLgyugMBS0aRFJ/07xTBmZ8oNS/KJu1Z+5XF5cnEVJAzlep8udeVlI/Fwbu4qq1jkd43j48t6ncuZEULL0hpUAR/hc9QqafO5+52uOlfx4KWqLSIM7RqRwz9geIXFh9YbWmtHPLie3oOEVVVD9Sf73nRk+veCapslrX2Xz9Be7/J5n4wvRdoM7RnTlvkt6hu17xhNaa9Zk53PDa+vctp03dXDIJNa6XC4u+POXHPByitVuQL+z29CzQyuevOpcH/dO+JCli4BMUQmfMk2TB/77NbfPWV9ncAPVqxXeWb8/5DYA9IRSioX3jCDSZmEvIXy7l5Bpmlz/ymqeaibBDUCF0+Svy3N45UuZPrBCKcXQ9LYkt45y23ba/NBJrLXZbPz5Z31pHe3dAuGuSbFERxghlZsUzoJxmbgIEqZpMiszh78uzaa4wrd5IHknq5i/5VBYDwNHRETw3bSxdHtkodu2vrjgVte2KeRPX2xj837PdzoPBjO/yKK00uTeceE7+ueJZ64+l1vmNDy6nZ1X2kS9aRoZqYncNqwLr6/aS0mlE1NXP+4roGWUjRaRNo7U8fAVH2Onc0ILTpQ56ZoU2+T9Fr4nAU4Yq82RmZWZy+ETFY1O0PPotXVoreDwVkREBN3axZLVwE3GUNX/NaYImdaalxZnsXjHUXYc8n9wc3opEkV1/32Vt/y3ZdkMTmnDiO7tfXPCEDaiezu3bQKUT+6R2uD8k62HOHyigg6toxnfN5mM1IQffSaUUtw7tgdD05KYlZnLtsPFKKBXhzimjEhhcNc2TJ+/nXfW78OlNZF2Gx3jY+iUEIPWUOlyMaFfcmD+ocKnJMAJQ7UjM39asAtHAK9uHVpHB+y1g8m0Cb25dc76eivRmhqWbM9j4t8yef+XQ7HbPf/YrskpZPGOo7RtGcW3PviVd4iL5vnr+nmc+Ot0Ovnl25tZvN27/YKgukrt7bM3sPPJn0iBQDdCYZTr9OC8ymlSXO5gw55CPv/mMKN7tuNP1/T9UTVmpRRD05IYmpZU5zmnT+xDQmwki3ccJcpmIzrC4ESZk0qXi7G92jMkxVqtKhHcJMk4zDidTkY/9yX7jgd+9OQ/Pk6cba601jy/cAevZu5xuwtyUstI1j40us4be+32CLNX5vLdoRM4nCZRETbatYqmpMKBYSjObtOCpTsaV424Z/uWfPqbEY0OLmoD7ecXZVHuxe7PAHHRdgZ1bcPUkamyyqoeXR/81G2bPU9f3gQ98c7q7AIe/+RbDhVVUFT+/VS5QfXI4JX9k/nzz87z+HevtWZtbiHzt1SPCp0VF0Vau5Zk553kSHFlg6NEIuBkFZWo5nA4uP7VdWzaV9Sk01DuhMryVF+o3fvpgXe3cKio4enCm4d04omr+p46btXufP68YAdbDhTXe1yEoYi0G7SLi+ZAYSlW44nYSBtOUwOapJZRTB6ewqThXX26f1Htv/3JT7fx7aGSRp2rW7tYpk3ofWpVkNVpjVDW3AOch/63hfc3H6TSWf+nwlZTwTjCpuiT3JoHxnVnaJr1UhS1o0SLth/B4dQUlzsod7gwDMXF9YwSiYCy9IuVKaoQ53A46DNtUcAKtwlraofUe5wVx5ETFQ3mRby1dj8Hi6qfOPcVlLEqp9Bt4OowNThN8k9WktQyksPF9e8kbQB/uKwHk0ekNslFvfbfPv/XI1mZlcdtczZ4nReSlVfKTbPW075lJEPTElmTW0hRmQOnqbEbiiXb87hu4NncM7Z7WAU5zdm63OMNBjfwfR5RpVOzaV8Rd7yxkakjU7hnjLXf85qcQhZtP0JJuYMjxZU4XBpN9V30g68PYmqT567tL++ZZkYCnBB3/avrgjK4sdtgbW6h5SkqrTWZu/J48INvTxXyshkwukc7/nlTf6/yUoJRh9bRlm7uy3Z6voWDw9REuEzAIC7aRvGZW3wDndtEs/T+CwLy81RKMaJ7e3bMGGdpZVlDjp6s4sMth78/N9XvobySCl7NzGVIakLI1H4JdfsLPV/lVVrl4p0N+xmalmTpGvPJ1kNUVrl+NHWvAZcJ728+zNX9O0piezMTGneFMFY7vD9rRS6b9xdR7nASE2HjvE7xTBmRysZ9RYHuYp2cLrj+lTUkx0czeVhXJo9I+dFoQW1OyazMHNbkFFBa9cN5FZcJi7bn0f/xxWx+ZExIBDnj+yYzb+0+v00lVrk0pVUmfTrEsf94BXknK7ApRcc2Mdw4uAu3D+sS8KH4iIgIbh7SibfW7vfZOTXVydo2A8qrXDy3cJcEOM1ElZfFmo6XOiyXojh8osLt/ms/f3MT30y/JOCfD2Fd878jhDGtNS8s2snslXs4eVpZ9rIqkyU7jpGZlR/A3llzqKiCJz7bwROf7aBdrB2bzeBEuZMKh0l15od7JZUu7pr3Na/cOtDf3fW7jNQE2rSIoLDM4ZfzV+fhRBETFcEFPVoxoV8yQ1KCLydl+hV9+N+mA5Q7fBfqacBpVo/mbD98wmfnFcHJ6TItl6Lo0DqaMjfTYKUOk7mr9jJ5RIovuieagAQ4zdjq7Hxe/iqXSmfdjziVPpiairQprh14NtOv6GN51YzT6aT/44st74VTK6/U+2KCyxq5MihYKKXod3Y8y3b5ZxfxaLvBE1eeG/Sr12w2G1seGUOfaYssJ0RbpYEKh8Y0zbB4Gh/dPZGluwrq/f7FPepeSt3cmdp6KYrLzjmLt9fuc9tu5mfb0Vr7PNFe+If8hpqxPy/YWW9w462xvdqx+4lL2PP05ex5+nJ2PXkZT1zV16MlwXa7nc2PjKFty0if9q0hzhDaFjm5TYxfzmsoGN2rXbOp8REZGcm26eNo18r9dgOeMoGJfwuPHctfuXUgLep5lG1hh5dvGdC0HfKQzcu7lAbLBfu2H7ZW/NJhap76fDvXv7wa02wuG52ELwlwmimn08nm/Y0fZu/SJpJHx/cm56lL2fP05bx62yCf5LLY7XbO6di60efxxKrd+SGxT9H4vsm0aRHh8/OOTE/iTz/tG3TTUQ2JiIhgzUOjeXR8b1KTYoiJ8N0l65tDJYz/28qQv1HZ7Xa2TruEcb3bE2EoFNVlA8b1bs/WaZcEfe7a6B7uqzHXx2owP3vVHsvndJmwfm8RszNzveyVaCpSB6cZcjqdnP/4Yoo9mAIa2KUNG/ceP7X0cUCXNvx76iAiInx/I631xw++sTTs6wsKSGoVyU2DO3O3xaWhwaq28N9fl+X47JwGsPupS0NmWN00TV79cjczF2Q1+ly3ZnRh+sQ+zfo9E8q8nfIG6/V9ejz8ucej4UktI9nw8FiP+yR8QurghCKtNVf+faVHwQ3Ae78c5qce1W9832Q+2HSQMof/pwE01asmPvz6IBkWl4YGK6UU943ryeffHmX3Md9shHjTkE4hE9wAGIbBzy/qzh0XpDM7M5d/LN9NYZl3OVz/XreXhNiIZh8Yh6raKe+75n3N0u1HcZMLfEpirPWHN5vh+e89/2T9taREcAidK16YWLHzKN8ePunRMXHRgYljM1ITmDKiS5O9ntPUHC6qYP6WQ032mv6ilGLGxD4eHVPfh7ljfDTTrvDsXM2FYRhMHZXGpkcvIXfmZbxx+/ken8NhwotLdnPNP1fhdHqf6C78x26388qtA9k9szo3cN7UwUS6uXv98sI0y+fveVYrr/oV6tObzZ0EOM1IVVUVt83d6PFxvxlt/YPuS7UjEW9NHthkCceVLs22Q6GxBHhoWpLbXBwFPHxZD/49dTDXDuxIx/gYIgyFzVDERdu5dWgXvvrthWGxKaVSilE9O7BrxliSvdjIdeO+Iro/vICKisDv0yYaNjQtiZ9fkFpnkGMAg7u2YfJw68u5HxjXnSi757fDuav2enyMaDqSg9NMOJ1O+kxb6LZk+ZkGdY7jnV8MD6rpCdM0mbMyl38uz6GwrAqtq+uzoE28mGb/kdYxdrY8dknjTxQEMncdrXfrApuC1ycNlOqqdajdSPGZz7exeb+1FTK1DGDn4+P8mp8mGq+6EGg+zy3cxfYjxbjM6ryYySNSmDTMs2XctTXFZq3cQ6kHF6G0ti1Ycv9F3nRfNI5sthkqnE4ng55awnEPcgwSWti568L0OisEByvTNPnte1v536aDjTqPAeQE8eaBnqhNOH573QGKaoJBpSC+RSQ3D+7EveN6SN5IA0zT5LqXV7F+r2ejeh3ioln54EXN5rMjGqd609pjPPbxNo/y3lpGGnw741I/9kzUQwKcUOByuRj05GKPEijfnjKI4d28X1oZSFprRjyz9NR+U94K5t2RPVU7GjF/y/e7YgdrBeJgZJomszNzeeaLndWbjlqUmtSChfeMDPpl1KJxXC4Xt89Zz4rd9RdDrE+U3WDnExLgBICsogoFj3zwjUfBzcj0xGa9x45Sij/99Fxunb3e6x2lbSF2z1dKkZGa2KxXhgVSbSJyn46tufs/X5NXUmnpuJz8Mno9uoBvHxtDVJTviw2KwHM6nWTMXEp+qXdbo5ghVGA0FMn4axDTWjNvg/XpmjYxduZOGtTsn+qHpbflrgtTvS7qFmU3Qqbon/CdjNREbhjcCU9WBDtM6DN9iayuCkGmaXLRc196HdwAGF4sLxdNRwKcILZi51HLbSNtinV/GB0Sq2VqV1/Nvn0QY3q1o2N8NMnx0bSItFkal6xwmNz9zmZeWrxLghxxilKKe8Z058GfdPfoOKepuWve137qlQgEl8vFNf9cxf7jjZsKT2rC7WiE52SKKkiZpskdb1pbEm4o+PaxMSG16kMpxdC0JIamfb8R4KwVOTzzxQ6q3MxdmcCxkirmrd3HkNTEH5xDhDelFHeMSqeotJJ/fGV9iW+obOYqqoObkX9axqET1qYq66NAdhYPcjKCE6RmrcixvGT6zcmDiIwM/SeJScO70r9zvOWqo3knq3jyk+9kFEf8gFKK317ahzcnDbA8DeowNSkPfspP/7ESh8P7KQ0ReI99/F2jgxuAQV3imTSsa+M7JPxGVlEFIa015zz2BaVV7qtknpPcivm/Htns826sMk2TOav2MDsz19JKKwN4sxmvKhP+ZZomY57/kpz8Mo+PjbYbXDOgI9Ov6BMSU8PhQGtN9z9+hqMRBYiTWkbyi1GpzaoERwiSZeLN1ard+dz42lpLbXc/Efy7AfvLsKeXcMhCkBNlV3w3bVzY/pxEw5xOJ70eXeD1Ta9FhMHXj1wcFqOozd3q7AJueHWN5fYtIw1evmUAw9Lbhs1DZDNh6Zch4WcQevWr3ZbadWsXG9Y37d4d4iy1q3RqhsxcKithRJ3sdjvfPjYGu5crYsocJj0fW8Tts9fyxw++YXV2gUyLBqlPtlrfp65H+5ZseWwcw7u1k+CmmZIAJ8i4XC6+zLJWcGr6hN5+7k1wmzw8xXLNm4JSB/1mLJb8CVGnqKgodswYx7je7YnwItAxNXyVlc9/1+/nlllrufi55azafUwCnSBz+ESFpUf/WzI68/ndI2XqsZmTACfITJu/DSu1o1ISWzC0GRf084WhaYkMS7Ne/K60ysXwPy2XHYBFnWp3rM566jKvjjd1dTKy09Tk5Jdx42vruPjZ5RJUB5EOraPdbqqZEBvBjInnSH5NCJDfYJD5YNMBt23sBjx11TlhP2yqlGLupEH0Oqul5WPySqp4zeIUoAhfSbG+yafJKSjj3BmLZHo0SIzvm0x8i0gUdSdx2A3Fry5KD/tra6iQACeIaK05aWHl1MR+HcmQ2i4A2Gw2Pv3NSAZ2ibd8zFNfZFFZ2fhloiJ0vXhdX5+dq8KhSX94AWkPfUq3P3xG70e+4Op/rJQprADISE3g2oEdiYmsnnoyVPV/CrAZMLBLG1n6HUJkFVUQWZl1jJtmrXPbLuepS2X49Awul4shTy0lv7TKUvuWkTa2ThsnP0dRJ6019/5nIx9usV5N3Bud46M4WFRJXSWvurWL5dP/Gyars3xMa83q7HyeW7iLHUeKcZrVS78nj0hh0rCuck1oHmSZeHNz9T9WsmlfUYNt7Absfip0dsr2JafTyZCZSymwuLfMo+N7SyVSUS/TNLnvnc18tOUIgbpKGgp2TB8rQY4QPyTLxJub7w42HNwA2OTpol52u521D4223H7eOuul+kX4MQyDF64/n7enDua8jq0C0gdTw4S/rw7Ia4ca0zSZtSKHMc8vZ8Djixjz/HJmrciRRQchLHyLqAQhK1szyOZuDbPb7Tw4rhtPL8xy2/Z4I3YRFuFBKcWw9LZ8+Ou2OJ1Orv7XGr45cOLUiI7dAKef7487j5707wuEOK01K3YeZcobm3CctkS1sLSKmZ9tZ9G2o8y7Y4hMTYUg+Y02MzKl4t6dF6bTIsL9CObxsip5ihOW2e12PvrVcP59ZwY3DenM6J7tuG5QZ8b0Cu9yDcFMa83zC3dw69yNPwhuADTg1LBhTyFzV8lobiiSHJwg0vXBT922kQRjayorK+n52GLLuRPtWkWy8ncXhtSO7KJp+Gp36obseVry7ryxOruAqa+vc7uvX3q7WBbfd2HTdEr4guTghCIJbqyJiopix/QxtIy0Vok0r6SKc6dLpWPhOZvNxorfXcQtGZ2J8kPh2x7tq+s8Va/+KeCPH3zD5LnrZVsICz7ZesjSpsUFJVI2IhTJ3bIZkdJTnomKimLrtHE8Or436e1icVeBv8JpMuippbhcFpKhhDiNzWbj8SvPZeeTl5P95E+4ecjZ+CLWMRTM/9VQtNa8tDiLJz/bxraDJ8g5dpL/bTzAza+tYcDji2SatR6HT7jfjBdA6vqFJglwgoRpmsS6Sfke27td03QmhBiGweQRKSy+70LatHCfoF1U7uS22evkqVh4zWaz8cRV/ch++nJynrqUhy/rSWLs91OfCoiLtnNRt0Qu7pFY735qPdq3PLVEfE1OIYt3HCWxRQS5BaXsKSijwmni0lBY5uDxT7eT8dQSGYE8Q4fW0ZbanShzSoAYgmQVVZB4ZXkWpQ1Uc1fAP27s32T9CUVtYiMosFAIMDO7kJVZeYzo3r4JeiVCmWEYTB2VxtRRaY06zydbDxFls3GoqIKi8rovFHknq+j92EK+myZ1c2qN75vMO+v3uV3p5gKue3k17/x8qKQBhBD5TQaJF5ZkN/j9KLuB3S7xaGPcMKiz5ba/fHuzjOKIoHH4RAUxEQYHT5Q32M5hQo9HF1FRYW1qJtRlpCYwoW8HS2037C1izso9/u2QaFIS4ASJSlfDN9MKfxfbCAOThncl2s1OwrVKKl2s3OXfMv1CWNWhdTTlDhOHm+sEVC9/7jlNpquguo7Rc9eeR1R984Cn0cCzC3ZIDl4IkQBHhA3DMHjlZuvTfLe/vlEudiIojO+bTKXLRYS7TPnT/OxfUgEZqj/3D1zS3VLbcqdmxDOy0CBUSIDTjDidDSTpCEtG9mjPxL7WcmucJtw+Z71MVYmAy0hNYEzP9rSKsV6n6euDJXLNqDFlRKrbVZS1DhdXMW3+Nv92SDSJgAU4SqlOSqllSqntSqnvlFJ31/x9glJqkVIqq+bPNoHqY1OxegMd/dyXkunfSEopXrj+fMvtV+wuYHV2vh97JKxwuVw88uE39J22gG5//Iy+0xbwyIffhM2TtlKKu8d044Vr+xFttz6Kc/W/1kiATvUozo2DO1lu/+6G/X7sjWgqgRzBcQL3a617ARnAr5RSvYEHgSVa627AkpqvQ9qanEJL7fYdr2B2Zq6fexP6DMPg+gHWEg8B7n93q9wkAsjlcjHqz8t5c80+iiucOFya4gonb67ZR5/HFpC5Ky8sfj+1+2J989hYIixeub89eIK1udauL6Fu+hV9frBcvyEVTh0W76lQF7BlOVrrw8Dhmv8vUUptBzoCE4ELa5q9DiwHfh+ALjaZT7Yestx25uc76J0cx9C0JJRUp/Lak1f3492Nh7Hy/H+kuIK1uYVkpCb6vV+hyOVyMW3+Nj7cfJCTlS4UoAywG4qkllFMHp7CpOFd612e+9jH33GwqO5VQRVOzc2z1xMTYdAxPoYbBndu8FyhICIigu+mjaX7o4vctjU1zN9ySN67VNcnWvvQaLo9vMDSFi5rcgoYmpbk934J/wmKq4BSqivQH1gLtK8JfmqDoDqr2yml7lRKbVBKbTh27FhTddUvrFbbBHBpuOvtzby0eJc8YTSCzWZj2/Qx1hrX3CSE51wuFyNrRl9KKl1owARcJlQ6NQeLKnj80+1c/tKKeqeb3tt40O3rlDtMdh8rZebnO7jh1bUhP5UbGRnJ67e5n2o1gENFDS8tDyd2u53+neMttX15eZafeyP8LeABjlKqJfA/4B6tdbHV47TWr2itB2qtB7Zt27x387VabbNWSYWDj7YckqHnRoqKirJ0kwBYvjNP9v3xkNaan7+5kUP1jL6cbvvRk/SbsYiVWT+ebvKkRILT1KzLLWTOytCfyh3V8yzOSW7VYBsT2FNQGvIBnyceGGdtRVVm9nH5vDdzAQ1wlFIRVAc3b2ut36/566NKqQ413+8A5AWqf01lfN9koq1OqlNdr6Gk3CmjCj4wqudZDE9NaLCN3YBKh8mTn23jL0uy5KLnhmmavLw8ix4Pf87iHdZHV09Wupj8+kZePG100puftQb+uTzH4+OaG6UUH941jLjohjMNcvPL6PPYAl77KlsCHaie3rfQzmlqeYhs5gK5ikoBs4DtWuvnT/vWx8BtNf9/G/BRU/etqWWkJnBZH+vbAmgNLq09mhn53BEAACAASURBVNoSdVNK8caUwXRuE1NvG4cJ+aVVfHuwmJeWZPHwB1vlRlEPl8vFpS9+xcwvdlFloSjdmSqdJu9s2H/qxmI1Af9MVrbkCAV2u51ND19Mgpvk2XKHyROf7WhwKjBcKKW4uJe1Uf+Pv3Y/PSqCVyBHcIYDtwCjlVJf1/x3GfA0MFYplQWMrfk6pCmlePba87jqvA6Wdwy3KeXx1Jaom81mY9kDF3BBtyQi7ao6CbaetqaGt9cd4JIXvgz7G8WZtNZMmruenXmljTrP8VLHqdHJ+Vu8u8GE0xib3W7nvE7xtIxyv3/59qMnmTR3Q9iPQv7rJmtT04u3HZGHmWYsYAGO1jpTa6201n211ufV/PeZ1rpAa32x1rpbzZ9hMUZoGAbPX9effh3jLLVvFWNnQr9kP/cqfNhsNuZOHswbk4fQIT6aSDel3bOOlXH7HNl1vJbWmlkrcvkqq6DR53KZ5qnRye2HSxp9vnDQoXUMlQ5rN+IVWflhP/Vit9u5adDZbtvlnXTwwLtb5HPeTAU8yVh8TylFdv5Jt+1shmJiv2SGpDScOyI8o5QiIzWRi3q0w2m6v6Ct2F1I32kLePXL3WH7lKe1ZtXufK74WyZPfb7dJ+e0GQZnxUWxOruA7GMnLY9qhrPxfZMtj1pp4KPNB/zZnWZhxpXnkGShLs4nWw6HfUDYXEmAE2RKKt3fKEemJ3L3mO5SB8dPxvdNxmr6SEmliyc/38mlL30VklNWWmtWZxfwxw++YfLc9fzxg29OrSYzTZP73vmaW2av5ZuDxViICS2Jb2Gnymky/eOtnKxwhtV0k7cGd42nVbT7Kapa6/Yc92Nvmgebzcaah0a7bVdlasnFaaYCVuhP/JjVG+TZCS0kuPGjjNQEIm3KoyTZnUdLmTR3A69PHhwyvxutNS8s3Mk7Gw9w/GQlDrP66X/e2n3Ex9jpEBfFtqONy7c5U4tIGyPSk/j24HF25ZXh7biYB3tSNnumaXLja2s5UW593ylZoFDNbrejcJ+ztXW/jOA0RzKCEyS01tw2e72ltgu+kacJf1JKce1A9/PzZ1q5O7RyG1Zm5fH3ZdkcLa6kyvz+JqCB4+VOr4KbpNhIds0Yy8OX9SQxNuLU9FOETXF+53hm3TqAKLuNQycqGzUiFE4J+LNW5LB+z3GPfl4OD2oLhbqYSPe3wW8Pl1JVFR4r80KJjOAEidXZBazMtpagmVcaelMhwWb6FX2Yt3a/RyMIrhAqi2+aJne8sdHSVhZWjevVln/ePACbzcbUUWlMHZVWZ7tXM/dQXOH9K9sMxeQRKV4f35yYpslzi7I8DgYj7PJsW+un55/Nm2v2uW03+KklbHr0kpDeBiTUyG8qSMxemSu5BkHEZrMx+9b+Hh8XCkP/Wmse+/g7yp2Nf0faDDirdTT3XJzOy7cOwmZznyfi6eiLzQCbqv4z0qYY1KUNk4Z19bLHzYdpmvz8zY0eVXqu1eushisgh5NpE3rTwkKh1aIKU1ZUNTMS4ASJbYct71IhmsgFvazvOA7VN9jmPjWiteaFRTt5y8ITrRV9OsTxwrX9PEqKH9/Xs/IHKUmxxLeIJCUplgcv7cW8O4aE/FO2y+XiJy9+xaLt3hV6t7pdQTiw2Wy8eusAS20/3Cxb5DQnMkUVJDzJiQyj/MmAUkp5lGycGBvR7GsTZe46yl+WZvvkXAM6x/PeL4d5nHSdkZpAalILcvLL3LaNiTBYfN+FXvaweTJNk4l/y2SXlwUVR6YnkiG7ZP/AsHRrlY1NqpfYh8I0dDiQACdI9DorjsMnKizNpQ/oYm03XNF4Sa2iLG0WqYAbBndptrWJauvZ3Dpno0/OF2nAO3cO8WpFmVKKBXePoNsjC922zUhp4033mi2tNff8exPfHnZfL6suPdvHMnfSoJBZ6ecrSimi7YoKC9Oy60NkiX11CYh8nl2wix1Hi3E4TaLsCodT465aiaJ6tHrKiBQmDe8atCOmwdmrMDRlZApx0e6LTgH8e+pgP/dG1JpsIZfDpuDhy3tyTzOtTaS15qXFWdz37haf5IHF2A2+nTYWu93756eIiAi3lWYjFNx5QbrXr9Ecrdh5lI+/OerxcW1ibDx8WU8+u3uUpTyocHTfmG6W2h04Xu7nnvhf7VT01Dc2sml/EWVVJg4TTla5D26geiXloRMVPP7pds6fsShoV5hJgBMkMlITuW1YF7fTT+ltY4mIsBYIicabPCKFQV1a1/t9A/i/0elMHpHabIObWStymZWZw9Hiyv9n78zDq6jOP/45c5ckBBIIe0CWsARQ9gQChEUF3EDcFavIVqv9tWpdat0BRW1d21rbiiwqSNXWDURZVSAQdohKWELClgQICVnIeu/M+f0Ro4BJ7tybu8y9mc/z9HkqmZl7cjNz5nve877ft8HX6xwTwXezxmG32xt8rTnXXUJs89pzmiwC7hkd16i2CjRN4zdLduk+PqlrDJnPX8XhF69h1zNXMnNUN8OutI3AzFHd0JFrTKUa/CX2qZkFfLj9OGVVDa+TLKxw0nfOGpxO/T5M/sK82w2CEIIHxvYk3Fb/S/JkcfBX6RiRuhx7hRB88JvhPHl1PFHhP0ckFKBHmyYsnjkkaCM3qqoyZf4WnluRTkmlZxOdAoRZFTo0D+epCb35+uExDYrcnIvFYmHDI2OYMqwTkXYFIcCqQM82TXl3eiIPXtErKL93T9A0jakLt1Gus9+UVaFRJFt7E0VRWHCX62TjULjjlqflkH/We1GXSqfkt+/v9tr1vIWZg2MghBAuLTX19EgyqRspJamZBSxPyyG3qIL20eFc07c9W7LyWbvvFGEWCxE2hX25Jew5vpdxvdty3+U9mDmqOzNHhc52iKqqjHnpG47pyC+qjSY2hQfH9WB6cpxPX6IWi4U5k/oyZ1Jfn32G0ZFS8sh/00jJOK37nNuHdDLFjQck92xLuE2hoh4hGRPZ8OhkoMktqvD6u+TrfZ5V9PkSU+CYNBqklLy++gCfpeVwttyJKiVpQrAm/SRSk8S2iOBEcTkVDo1wm0LrZmGsTj/J0LiWIbUVomka1/59g9viRgCTEzty7cCODO0a02iiJ4Fm86F8Vv1wQnd/tJaRNp6Z2Me3gwpRhBA8NLYHc7/cX/vPgXtGxfl3UD7AF3YWRlx8mwLHYLgykTJNpjxn86HTLNqURVEdLrn5ZVWcu71+qqSSVk3tIeNODDXRgD38cMK9EuMWEVa2PHapV3JrTPSjaRpPfPqd7i3EZmEWtjx2mZlI3ABmjIxj1d6T7DpWeN58YFFg0EXNQ8Ile0K/WD7eeVz3lqcerAZsAGfGMA2GK1NSpxsNIE1+RkrJYx+n1SluAC7MHXSoktyiSvbmFPl4dP5BSslb32Twv505us8JswqemtCbHU95J3HYRD81eTdZOvyAAOxWwc4nL/daDlRjRVEU/nN3EpOHdPqpT5WiQFyrSO4f2yMkIpdJcTFceXE7r17z0l5tvHo9b2A+CQbDlQ2DF9zzGyWpmfkcKfAs3yTztHc7ZgcCKSUvf7WXf3x7WPc57aLDee2W/gwzTeH8jpSShz/aw8aD+vJu2keHs/7hUWaFZQNQVZVZy/by2e4czlY6z/MkUzXIOFXKvUt2Mm14Fx4YFx/UQkcIwSu39OdEYSmbDzd8AdcszMKbtw/wwsi8ixnBMRDm9pN3kVKScjCP697YwOR5Wzy+TkmF8cof3WVTRh5vuiFuAG5LuChktuaCjZSDeXy2O0dXs9fRPVuR8uilprhpAKqqMvyFNbyXepTiCmethqsaUFyhsnDTYVIz9TVGNjKKorDk7uGMiKvfLDPMotC1VRP+MLYHB58dz/g+bbEpAgHYFMH4Pm3Z9dRYQ0YOjTeiRsxmnd3ETVwjpeTVVft48+vMBnfENmDunNvMWrbXLRO/wZ2iQyYcH0zUuMtOXbhNV1JxXKtIFk5NNCumGsiTn6Rx8qy+hUxxhcr8jVkhEdlUFIX3ZibxyEdpfPF9LpVODSmrk6lrbr9KVSPrdBn//jaTwZ2ieWtKQiCH7BbmU2EgFqRkBXoIQY+Uko0HTjH8hdX83QviBqCJPfgTNjPz9G+zNbNb+ODuJFPc+JkaR+nfv79D11Z0s3Arc6+/xBQ3XuDDHfrz0iC0miMrisLLt/Rn4dREYqPDsSmi1sVQmUPlzgXbDetaXBvmk2EgftCRzGrARHXDoGka97+/nTsWbCO32OG16944qIPXrhUIpJS6S4zj2zRl19PGDDeHOqmZBXz1fTb5Zfpk+ZUXtzW3EL2E27UbIZZOIIRgWLdWxLdrhtVS90tGAmNe2RA06RSmwDEQFZWuX8rdWzf1w0iCi5qozcDZK/n8O++bTc0KYk8RVVW5a8FWXce2bmrnywdGmuImQCxPy9Hd56h9dDh/vrGfGWULEBYhg+YlrxcpJXkllS5Lx3OKKliwMTMofn9zJjMImqZRVOE6pfCZib39MJrgoeYFvvFQgU+u3z+2adB6imiaxjV/38i+E647T9sssOnRMeZ2RwDJLargbJW+l8arN/cz/1YB5HSpky1ZBSEVQUvNLOB4gT5Lghe+3EdxuZMHxhm7TY35hBiEt77NcFkxYREwvHtrv4wnGHA4HAx+bo3PxI3dAo9eHbzRm7c3HNIlbprYFX54ZpxZhRNg3HGXTQqBBFcjMahT3Q11a6PcobFsj3t5O0ZneVqO7opRpwbvbDZ+NZkpcAxAVVUVL6486PI4VWJotexPVFVl8Nx1FJZ7XsKd2Lk51/dvh7WWr7Sp3cI9o7oFbaWElJKXVh5weVyH5hF898x408TPAEzoF6vruPF92pjzgJeoabJb5ME8klsUWo2Pc4sq3MpFKq5wMn+jsQtjzC2qAKNpGkkvfqPrWHNK+5lZy/ZS7KE/jSLg8avimZ4chxCCW4bkM39jFntzixFA7/ZRzEjuSlJcy6B9kaQcPIUeF/Yx8a2Ddgsu1EiKi9F13Ju3D/TxSBoHDoeDK/66kUydTtEX4ot+ToHE3d9HSuNXk5kCJ0Coqsozn//A0q3HdKvmJvbGEXDTNI0FG7NYsOkw+WersCiC+LZNufqSdqRmFZB+ooQcD7tgj+rRioVTE857qQ/r1ipoIzW14XQ6uWvhdl3HTuyvL2pg4nv0iulgTALXNI2FKYdZkJLFqZJKVE1iEdUOuAM7xTBzVJxfFxQOh4M+z6zStQiojWbhlpB7dtztTyUx/qI7+J6UEMDhcDDouTWUVLr3dN04uKOPRmQcVFXl6r9tZP/J83NHdh0rYtex6jJ6ez1ljHVhUeCduwYzomfboI3K6OWe93boFs1Du+qLGpgYBymloe9hKSWbMvKY9fleMvJK6zSY1CQUlKus3Z9HWnYRvxra2S/mklJKxr623mNxAzA1qVPIPTtJcTFc3bed7l51iqiOdhuZxhESMBCqqjLo2dVui5uWkTaemRC8Ca960DSN6/6x6Rfi5kKq3NgoVoApSZ048OyVJMe3M/SLwRuoqsqa/fr6F10e3yrkv49go0Nz19sEGw+c9MNIPENKySsr07lz/jYO1iNuLqSgtIrPdmezJcs3BQM1aJrGU59+53FfutioMBZPT+DBK3qH3LMjhOClm/rTPFzflnVUuJUZBu+sbkZw/IiUkrsWbKVEZyloDeE2wZbHLgvpXAmn08n41zd4vB9+IQrwxDW9mDaia6Mqp521bK+u4wTw7zsH+3YwJm7z5xv6cseCbfUeM23hDg48f5Uh7+vNh07zz/VZunponYsqIbuwnLc3ZDK0a4xPxENFRQUDnl1Hhc4FklWB6CZ2BnSMZuZI/26hBQpFUbiqb3uWbjvu8ti+HaINXyZvChw/kppZwOZM91coVQ5J9ydX/vTf7aPsvHRTP0b0CI1qCofDQf85ayhrSMz4HKIjrGx//LJGWfb8v52uJyaAd6cNDspcjlBnRA/XNhBOYN63Gfzm0p6+H5CbvLzyAKqHj3GVKtlwII/X1xzggbHe81eRUrJh/wmmLNrp1nmLZyYZ/gXuC64d0FGXwNmbU2z494/xlgAhzPK0HPctweEXq6Hc4iruWLCd11bvDwo3yfrQNI0Rf/66weJGiOqQ6ZRhndn55NhGKW6klJRV6fsek3u29fFoTDxB7wvjxZUHDfns7zvZsKqaSlXy17UZjHv1GxyOhrVbqckFuuyVb9wWN1Hh1pDLsdFLUlwMbZu5to04U+69dji+wlzC+RFv+yYs3HSE4d1bB+0qQ0rJ0599z6mzDXtQImwWFk5LDNrvwVvozc2YnBBr2JWXlJLUzAKWp+WQW1RB++hwJvSLJSnON9sWwYoENmXkMaJHm0AP5TxUzTuiKyOvjItnrebtOwexMj3PrXtBSknKwTzu+89uCso8m1vevH1Ao73fhBC0iwrjZEnwNNWsC1Pg+JH20eFYlWoXSG9QUuFk2Z6coHyxq6rKtEXbWX9QX0JsfXRvHdloV1s1aJrG9Hd26Dr2uev7+Xg0niGl5PU1B1i65Qj5pY6fop3/2XqUEd1bsnBqYkjnodVgUwQOHULhoQ/3sPnxsYZ6EbdqGka2hxYOF1KlSn7z/i76tIsm3CZY+cMJlm49CkCk3cJ1Azswa2Kf8+4JTdN4+KM9fLzLc5fhkd1bGk44+hMpJT/klLg8LibS+OagpsDxIxP6xbIm/SQniyu9ds3sM95JyvUnmqYx4e8ppJ9w/RDp4fFrQq+iwV3e3pCpq+x1VLfmhhUJKQfzeGNdxi+2cVUJ6w/mM/GNFJb/PtmQybXe5NaEjizeeszlcSdKqth86LSh2rdMG96VF75K9zgP50LKqzSiI6xsOpRPxTkrw5JKlfdSj/JearXgaRtppXdsFOknzjYo8tA5JoJF0xIb9Xyy+dBpnDoCcfeMivP9YBpIaM8UBiMpLoZbB3fEAxuXOikqC74w4sKUw+w/6R1x069DVFBGsLyJlJJXVrluywBw72XxPh6N+9R0g5+ycFu9OWrpuSUs2nTEfwMLELMnXaz72Ac/3IOmeUlNeIHpyV1I6NzCq9fcf7LkPHFTGydLnXxzsKBB4mZk9xjWPTTasAsAf/GyzrlkusFLxMGM4PgVIQR/GB9PVISNv6zc75afS11k5gdfBGfptqNuOWDaLVCl/vLfW0Xa+fjeYY16tQXV1XmVOu8lf4nB+nJppJQsTDnM0m1HKThbhSYlpZUqrnZlJLBky+GgmFgbgsVi4fbEDry/LdvlsSeKK/nj/9J46ab+hngOFEVh6a+T6P30Siq9tBfvzYh3XSyaMoDRvY2bm+ZP9umMrAdDJNUUOH5GCMGMkXGUVDh5f9tRisocOFR5niGWwi8rp+pCb/dXI3Gm1IEiBKrOKpCYJjbGXxLLp7uyKXeoRNiq99+fmdC70a+2AJbtcf0iBBjbq7VfJvCaXJrPdmWTV1JJuUNDA5ZuOUoTGzQkp/zw6TLDO/l6g2ev68vy705QXFGLsr+Ald+f4MZBHQ3TbkRRFDq2CCczr0y30V9dREdYKW5AQ11XxDSxsfnR0YSFhfnsM4INPYniVuNrG8AUOAFBCMED43qS1K0l8zdm8UNOEVVODSEEDoeTYjddjoONFpE2SiuduhIpARSLhTmTLmHOpEt8PLLgJF1nw7t/3THIxyOpJjUzn/e3HOX02arzXnAaDRM3UJ2Pk/DcGgZe1JwZI4O7IWp9WCwWdjxxORfPWu0y0ltapfL8inQ+/12yYb6L24d05sUv03FqNEjk9G3flNTDRTi9VJ1VQ7soO6/eMoBh3Uw37wtp2dTustefNUi+siDRYaGHEIJh3Vrx9l2JbH5sLDueGs/Wxy8nOjLMrQkhponxM9kvZHJiJ6Qbv2Ufg/c7CRQ1uSt7fuzRVR+3DW7vN2O/+RuyyL9A3HiT/NIq1uw7xV0LtvLwR7sNlYPiTWw2GwunJrhcLWsSvssuJvG5NWw8cMoQ/jjTRnRhUOcWKIpA4H5TxqZhFu5N7kRhpUbzJt71tLq+fzs2/elyhnf3T0Qz2Jg+vIvLYzSEIe4zV5gRHAOxMOUwxwrK3Trn3jHGz2S/kGkjurBq70ndfWeM3u8kEEgpeW31fv75TabL7UwrMPeG/v4YFgC7jhW6bdXvCVWq5NNdOQgEL91sjBwUbzO8e2smDYjlk505Lr/T06VV3LFgG/83ugsPX9knoN9HTS7Owk2HWbAxi9Nnq7Ao0LtdFA+N7/lT5ETTNBZtOsL7W49wptRBi0gbtw/pzNThnRFCMDqrgM93Z/PRjuM4Gpiz2L1VE2ZPutgUNi6YntyVF7/cV28llapKtmQVGL7AQwSDCnNFQkKC3L59e6CH0WDGvvoNGadKdR/fq11TVtw3MiiSvS5E0zS6Pf6ly1V+clwL3vu1mUh8IZsy8pi2aLuuRM5bB8fy55sH+mFU1cQ/+aXXEkz10CzMwry7QtfoUdM0pi7c5pZn1GNX9ODuMb7vzO0vnE4n1/9zM99lu+eUHBVu5a0pCT7rbxWqTF+4hXX1NO0NswhuSriIudf39eOozkPXHzP43owhzJlSh+5Q7qgerfgiiD1BFEVBz3zzzoyh5sRUCy+vOqBLRCjA9YM7+X5A5+LnRVNJpcrbGzKDImTuCYqisGhaInGtmui2mHhh5UFe/mpvyHwnVquVz3+XzJIZiXTU0XG9hn/dMShk87R8ycyR3erdGpXoz/0LJMH5dgxRWkTasLmYwawKPDWhN+9MHxL0FURNw+off9MwJeh/R1+xL1dfKWdkmMXvLs/2AJRYpGbm87e1xuzP5A0URWHu9X3p1DJS9zn/+PYw89ZnhMx3IoRgRI82bPzT5WS9cDXvzxxCdETtWRYC+P2lcYapLAs2hnZtQX2pbVWqpLjC+L2oTIFjICYndkIRos5VmkWB347uxvQRXYN+RaJpGuH1vAgFMKRL426/UBdSSsocrsuHAXq0aer3e8XuTSdLnWia5JPd2aRm5vv9s/1FUlxLJvWPdeucF748wCMfGcsM0BsIIRjevTW7nhrHUxN606F5OGFWhSZ2hcGdmrNk5hAeHN8r6OfJQLFo0xGXOV+FHvb58idmkrGBqEm+3XOsEIuU5/njNLVb+NcdAxnRo03QP7RSSh757x7y6qkZbhZm4dejuvlxVMFDysFTuo+NigieruphVoWLY6M4cvos+WVuep8IwamiSsOVS3sTIQT3j+3BhoN57DhaqOscCXy8KxtVU3n11kEh970oisKM5DhmJAdfsYWRWbrtqMtjCkuN76JvChwDUV15MLTOqoJgzbe5kM2HTvPp7px6E4w7xTQJ2aTRhqCqKjPe1ddUE6BDiyY+HE3t2G0WLMJZb9uFZuFW/vWrgbVWtLy9/hDPrdjn1mdWOKqdkL/PLubpz75n9rUXh8zzci5CCD64eyjxT62s9/s9F03CJ7tPcP2AE4zq1d63AzQJCc6Uuo7OyCDQyqbAMRiKojA9uWtI29G/tHK/y2Z8BWVVIbfabChSSn7z3g4q9XTC+5GJbm5peIOLY6M5czYPC9RqUtcuOoxNj15WpwCZntyV/+44zr6TZ3V/Zo0PnATeSz3Kki1HaRpmpU2zMCYP6cS0EV1CRvBYrVb2zhpL72fWuFWOP2XRThZPTwiJKLCJb2kRaSPfRYSmic2CqqrMWraXz3bn/OQyP2lA7C+6vAcKl0+8EOJ3Qgjvdk8zabRomsZuHcZ0J/zQfyaYkFLy+uoDrNmXp/ucri2b+D3BGGD6iK40a1KdMB9pt2C3CKyKwKpUW++/enP/esWGoih8cV8yo3u0IszDfB5NQnGFk4y8Up79Ip24x79k8LOrmPdtRkjko4SFhbFvzji3DfTuWLCdl778IWQSj018Q3U+aP3HXD+wAyNf+ob3Uo9SXOHEoUqKK5y8l3qUUS99g6rqyxP0JXqWNO2AbUKID4UQVwpT+ps0gAUbD+tyuPWyM3vQk5qZzwfbj+s+3maBVQ8EJhdlWLeW3J7YiTZR4UTYLESGWWkeYeOimCZMG95FV2WLxWJh0fQhvDNjKLcldPCKNXx+qYO5X+7ntn9vDgmRY7fb2Td7rNt9gd5cf4SNB076ZlAmIcG0EV0Y3Ll5nT+PjQ5j/f4TdbZ0yC6sYPayvb4anm50Gf39KGrGA9OABOBDYL6U8pDPBibElcBfAQvwtpTyxbqODRWjv8bAiBfXku2iz0kNh1+8xsejCQ40TePyV78l67S+zvHtmtnZ8Mcx2GyBSzCWstrpdNmen7uJT+wf67HhmqqqzF6ezqe7sjlb6URKz3scWQQ8cU2fkNkGdjqd3LtkF6vT9Sefh1kEe+dcYYhtBBNjomkaCzYc4tW1hyircj8aY7MIDs692gcjA3Qa/el2MhZC9Kda4FwJfA0kAaullH/0dIT1fJYFOACMA44D24DJUspaJaEpcIKH+CdX6M4hyXrh6kafK6BpGnct2MaGDH0utlYFDjx3Vcjkm9SGlJK/rjnI62sPenyN7m0iWfPgGO8NygA8+Ukai7cc0318bHQYG/54qSlyTM5D0zQWphzm/a1HOF5QRmUDdpp8uEj1jpOxEOI+IcQO4C9ACtBXSnkvMBi4sUFDrJshQIaUMlNKWQX8B5jko89yGyklmw/l88Qn3zF90Tae+OQ7Nh/KN/e1dWBxQ7CEsqeJHlRV5do3UnSLG4A/ju8Z0uIGfi6Xjgr3vEZCT5VIsDH72otpYtP/t88pquSexTvNecvkJ1RV5crXvuXZL9I5lNcwcWME9DwNrYAbpJRXSCk/klI6AKSUGjDBR+PqAJy7FDn+478FHE3TePijPfx2yQ4+3ZVdXfK88zj3Lt4ekoZa3qZDiwjdx87fmOXDkRgbVVUZ8/I3fJ+j3w49vk0TZjYS7yAhBPdd1t3j81tEBo8/kF4sFgu7n7ocm6vs0HNYnX4qpDuym+hHSsmU+Vs4kKdvK9wVrlz5/YFLpo60rAAAIABJREFUgSOlfFpKeaSOn6V7f0hA7eGn85YZQoi7hRDbhRDb8/L0V5Y0BCklD3+0h892ZXOmzEFplUq5Q6PUoVFY7uTjXdk8/NFuc0VUDxe5IXB26zQzCzVUVeXyV77h2Bl9uUoAo3u0YsX9o0I+enMu05O7Et/GfZ8fAdw+pLP3B2QA7HY7e2eP092zCuB/O3O48+1UU+Q0clIzC9iUecZr17tlcOBjEkadDY8DF53z3x2BnHMPkFK+JaVMkFImtG7d2qeD0TSN+RsyGfHiWj7elVNnG3lNwqe7ctl8SP+WQmNDInRXxBSVh942gis0TeOqv27gcIF+cfPUhN4sCoHeZO4ihKDCg67l8W2bMnV4aAocAJvNxt5ZY906JyXzDA99aC7OGjPL0+o3X3UHCzBn0iVeuprnGFXgbAN6CCG6CiHswG3A54EYiKZpTJ63hZdW7Se3yLU3iwbct3SXITwAjEhs8wi6tNS36nZostF8j5qm8fb6QwyYs4oDp0p1n9e1VZOQ6E3mCamZBRxxQwgCKAK+uC/Zb5Eup9PJr9/ZRo/HV9D1T1/Q4/EV/PqdbTidbraicJOwsDAWT09w65xPd5uLs8ZMbpF7z1JdCGDRtMGGWHAZUuBIKZ3A74CVQDrwoZTyh0CMZWHKYfYcLyTcInSr29OlDkb+5etG83J2hwn9YgmzW2jT1K7r+NnLfbULagyklKQczGPo82t4bsU+iiv03zNWBeZed0mjFDcAy/Zku33OY1fG+23idTqdDJyzhtXpp3Bo1X3lHJpkdfopBs5Z43ORM6JHG67vr781gwR+9fZWNuw/YUZyGgnnFszsO6E/368uLAJ+NyaO5J5tvTC6hmPYVg1SyhXAikCPY+m2oyhAqZs+ADlFlcxatpdnr+vrm4EFKUlxMYzr3Y7V6Sc4ddZ1s7ZPd2UbItTpLjWllku3Hf2pp9jkxPNbBjidTm7452bSsj2bWCb1j9VlmheqfH/cvRyt3u2aMmOk/5oy3vPeDkrqmDdKqlTuXbyTeVOH+OzzhRC8cusAhCL4ZJe+7QcJ3LlwB/83ujMPX3lxoxXPjYHqgpk0Vu89Ub3V66GoFQLCLNWNch8a35Nh3VoZ5r4xrMAxCmdKHSAlDg/y7/63M9sUOBdQU+Kb1K0lt72V6vL4kgonUkrDPDB6cDqdXPbqeo4WlP/0b/mlVTz7RTp//mofD4/vQXybSKa/u0t3w8QLGdk9hpdu7h9U34s30TSN9BMluo61CBjRvSULpyb6NQl7zf76t3tWu9F2w1MUReGVWwZwcWw0z36hPxr6j2+PMLx7G0b0aOPD0ZkECiklD36wi0/3nPDo/MvjWzJ/WpKXR+V9DLlFZSRaRNqo8PAt5In7Y2NACEFSXEtaRLjeKpBAahDlBWiaxqWvfHueuDmXKlXy/JcHuOsdz8VN15gI3pk+tFFVTJ1LtfnhVl2LDgEsnjmUd6YP9WtOgJEqkoQQTE/uSleduW81PPG/PT4akUmg2bD/hMfipqld4d93upffFSga5wzpBpMTOzWoL5KRJjqj8dsx+nxMXl51wMcj8R7zN2a6Vd7tLi0jbax+sHGVg59LjVXDhgx9JpADOzUPSMh83nqfdbHxCCEEqx5Ixg0fQA4XVpl5hCGI0+nkrkU7XR7XtqmV8X3aYlMEArApgvF92rL76XFYrcGx+dM4Z0k3mDaiC/YGGBYtTDnsvcGEGDNGxunaI9W7FWEE/r7Ody+2KUmd2Pr45UEzufiClIN5fLY7x/WBP/LI+J4+HE3dvL7G8zYSvsJms7F39njaR4XpPmeWARommngPp9NJwty1uvKxLFYrb01J4ODzV5P14jUcfP5q3pqSEFTzjylwXKAoCiN7tPLYlXFBSuN143WFoig8elV8vccIQA2i1uLFFb6pjBHAnOv6GqL0MlA4nU5mvLNN99beqB6tSApQEna5jn5rzcL9/7e02Wyk/OkyYproc3L+cPtxs6IqRNA0jcteWU9hub45qk/7KB+PyPeYAkcHM0fG0aKJHasH39ZpHZVCjZkZI+PqjZBJoJXOkvJQpnubpoEeQkCpmZzd6Y2zcGqCoZOw729Aq4mGoCgKqX8ao+vYSqfG39YeNEVOkCOl5OnPfuDomdpzA2tjRnJXH47IP5gCRwdJcS2ZPOQiWjUN19fC9EcEYHGjL0xjRFEUHh7X4xffq6Dm+4PpI4z/oDkcDm58M8Un17YqgtkTe/vk2sHCwpTDbk3OrSLtho92TU/2X8n6hdjtdiYn6rPSX51+ki1ZBT4ekYmv0DSNhz7czeItR3Wf066ZnaS4lj4clX8wBY4OhBA8MLYnr93an97tIt06t3e7Zj4aVegwc1Q3Eru0wG4RWJXqF7pFqW7WltCpBdNGdAn0EOvF4XBw8azV7PBS7yxFVIs7RUBMpI3fjoljWHfftiMxOku36Z+cAe4dEzjxoJdAJ4o/d11flz2rIu0WwiwWlu3Rn/dkYhxUVWXSGyl8vEv/308A6x8Zbejop16CJ1sowAghGNatFU9NvIQ/fLCbE8Wu2zZE2BQeDlCSYzChKAr/uTuJRZuO8P7WIz8Z490+pDNTh3cO+IvAFbfO20KVpzXfP6IAI7q15N5Lu/HFdyfILaqgfXQ4E/vHMrRrTEhMNp6gqiqzlu0lQ2f7CgEM6RrDtCCI+gUai8XCoqmDmbJwR51Jp+E2C5mnz5JbXM7mQ/kkxTXeezHY0DSNq/+2gf0n9bd+sVsE3z19OXZ7aKQFmALHTZan5VLl0JcIcOUl7QKW5BhsKIrC9OSuTA+ifV8pJZsyTrPzaJFH5wuqIzQDO7VgRnJXkuJaIoRgeCOP1tTgdDpJnLuGM+X6E2+evKb3eW7RgUJAvZUqRpEIyT3b8vvLuvHv9VlUntO4VBHVkVSHqiElVDk15q7Yy7jebbnv8h6myDE4Ukqe+vR7t8RNiyZWtoVYlWbo/CZ+IreogjKdHYyLyh3mRBCC1PRveeHLdPa5UcIeYVPYO+dK857QgZSSa9/Y6Ja4eeqaXj5vxaBpGgs2HmbhpixOn63Eogh6tY3i4SvOt6i3KtRrRGgzSHqQEII/jIsnuomdf6zLAKrFTWmVRoRNQQhBlarRKaYJ0RE2VqefZGhcy5DIzwhVpJS8umofS7Ye031OU7sl5MQNmALHbdpHh1OlU+DsOuadnAwT4yCl5K9rDvLpnmxOFVWiurE1Fds83BQ3OtmUcZq9J/SvPhM7N/f5tpSmaUyel8rWrDPnRGckO48Vcsf8rfx2dFceuqL3j3/j+mM4UhrnPhBCMH1EV0rKnazZd5IThRVYFVA1UKVKE5uF/bmFlDqqj69psWJTBLcmdmT2tRcbPqG7MeB0OvnN4h2s3eee83tMpJ03Jg8IOXEDZpKx20zoF6v72LJK33YLNvEfmqbx1jcZXPz0V7y+9iCHT5dR5lBxx6f6V0O7+Gp4IUNNdOy+pbt0HW+zCJ68uhcf/GaYz7elFqYcZsfhM7XKFk3CG99kkXLw1I/jqn8s1gaYh/qCmh5xT17ThzCbglVRiAxTaGJTOHW26idxcy4OTbJ4yzEGzlmFw1HLASZ+w+l0MmDOarfFDcCUpM4h27TXFDhukhQXQ/MIfSZZFU7JDW+msCkjz/SRCGI0TeOWf2/i+a/2U+ZJ11Wgc0wEU4d39vLIQgdVVXnq0+/o9eSXTJ6XSn6ZvhfmLQkXMXNUN7/k3CzddhRX/n33LN6FlJJe7aurJ+uSMc0jbIabE2p6xI2Jb0Nc66a0i4rQZQpXXKkx7MV1ZluaAHLPkp2crXL/+x/XuzX3jw3dnCpT4LiJEIL/u1S/QdfOo4XcuWArr63eZ7gJzaR+pJSkHMwj+cV1bD/iWSIxQJeWEaxtxP2j6kNVVZ78JI1uT3zFe6lHqXSzGm1if/0R1YZyprYwxgWcrVLZklXAw+N7EmZV6tyksluEYb1lJvSLpVJVOVFcgUPn3+N0qZMFG03X9kCxzoPO9M3CFP51x+CQFTdgChyPmDaiC73b6XeWVTX427pMxr/2rRnNCRKklLyyMp07F2wlR4clQG2E2xSeuqYX6x4aE5L72w1FVVVGvLCWxVv0J0OeS98OzRjaNcbLo6qbFpH6Ire3vZXKM5/9QJvIuvNSTpZU8elOz35vX5MUF8PYXm0prnDo6llUw7/WZ/psTCb14243m+hwCzufHBvyuVOmwPEARVFY/vtk+sa616vj4KlSfv3uDl5fc8AUOQZnU0Yeb36b5fbEUWPO99SE3uydfQUzRvpn+yQYeeJ/ezhx1vPcjU/uHe7X1efkxE66jz2YV8qxorp/twqnxqq9xlzs1OTjJMW1xB0j9oJSsy1NIHB3azCudSQ7nxqHzaZPsAcz5szrIRaLhc9+N4IbB3WgWZh+FVxapfLPbw/x63e3s/lQviEnuMZMTZLrvUt2ui1u+nWIYsnMoex4chwzkuNMYVML1d5BedzwZgr/2Znr8XWeuCre71Gxhjpqi3P+B1BYXmXYbSohBDOS42jdTH/n8SDqiRsySCl55vMfdB/fKSaC1Q+MDPnITQ1m3LwBKIrCyzf3Z0vCRdz97nbdnaSrnJI16adYk36KmCY2/u/S7oYwJ2vsaJrGwx+lsXrvCUrc6eoIjO/Tln/fGdr72Q1FVVWmLdrG+oP5DbpO73bNfO53UxuKoqAIz1/kvzhNwrI9OYb1lEmKi+HWwR154+tDuqsFnU6nuR3rJ6qfp+2sP6ivcmpUj1YsnJrQaMQNgAiFCEJCQoLcvn17QMcwf0Mmz36R7vH5TWwKkwbEcu2AjqYdegDQNI27FmxlY0a+W3kHNRyae2Wjmjj0UG2Kl8W/vj3EaR0JuvUhAJsCw7q3YsFdgZukL3n6S4+qVWpDAGPiW7Nw2hCvXM8XSFldCbrrmL4k+5gmNrY+fpkpcnxMZWUl/Z9dR4VOT7ZfDenIc9f3C6X3iq5fxAwZeImpwzsTYfX85ilzaCzddpxH/7ebv5o5On5F0zSmLtzGBg/Fze2JHUxxcwGapnHzPzfy3Ip9DRY3/To0Y/KQi3h3ZhKLpg0J6Hcd3869vLv6kIDw6I7zH0II+sRG624tUVDmYNBza3E6TQ8wX+FwOOg9a41ucWNX4Nnr+oaSuNGNKXC8xNbDhbSNjmjwdY4XVLB4yxFSMxsWxjfRh5SSR/6bxsYM9w2yAGKjw3j2ur5eHlXw8/b6Q+w4pr+NRW1YgPdnDuHz34/i+Rv6/dSrK5AUlnk3kfb4mQqvXs8XTOgXS/Mm+hNSiyuc9H56FW+vP2R64/iAW+dt0b1NalXgj1f2arTpD2Yc0UssT8vhbKUTqwI6hXWtaEBJucr8jVkh6y4ZaKqqqrjm7ykczCtr0HWmDOvEMxP6mNGbWnjjm0MNvsa9Y7oa7hnIO+tlgVPYsHvQHyTFxXDHkIv4+zf6y8AdmuS5Fft4d/MR1j00ytyyaiA1jX3/8lU6e7L1LRwsAhI6xwRVA2NvY951XiK3qAJVlQ0SNzWomsbe3OKGX8jkPKSUfLM3h2nv7W7wtVo2sTJnkhm5qYviCveStM+liV3h37cPIDm+XcAjNr5GDYIAhxCCB6/oRdMwCy+sPOjWuUfPlNN39mrenjKY4d1bh/zf0xfUeHL985ss3HmqfpXUmVkT+zTa6A2YAsdrtI8OJ81L/WU0qTODykQ3TqeT6/6Rwve5Z71yvddv7e+V65j8TOumNv5628DzunIbjTZRYbqrJfXQqqnda9fyJUII7h7Tg+IKB//49rBb55Y7NH41fxvX9W/Hq7cObNQvXHfRNI0nPk5j6fZst84b3bMVs6+92LDPkb8wBY6XmNAvlk0Z+Zz2QghbA3q3914yY2NFSsmG/Se5/z+7OFPhnaVyhN3CjGGdSO7Z1ivXC0XcTTC1KvDoFfHMGGl876AhXWLIOKW/y3l9KIKg2j4QQvDwlX0Y1q0V09/ZQZWbbTU+3XOCvLOpvDcjyfB/ZyNQ0wPPkzYxC+5KaPTiBkyB4zWS4mK4dkB7/r4uwyuGV9MbaCrW2FFVlV+9tZnUBvSQAoiJtDPoouZoSNpHRzCxfyxDu5pl/PVx7xJ9ncABuraMYM2Do4Mmj2li/w78d8dxt1/uFyKAxM4tmDa8i1fG5S+EECT3bMve2eMZ9Nxat6NZKYfOkPDcGv4+eYC5ZeWCBRuzPBI3I+Oig+Z58jWmwPESQggeGNuTpmEWnl+xv0HFn1YF88H3EE3TeHv9IV786oBuc7ILsVkETcOtjO3Vhj/f2M9cbbrJN/v1Nf6zW0RQiRuoXsjEt2vGd9me58g1tSs8MLYn05O7Bu29ZbVa2fnk5Yx/fSOZp92LaBWUOZi6cDv3jonjD+PizbmuFjRN49U1Bzw697eX9/LyaIIXU+B4ESEEM0d2o6TCyeItxzhTWuWR0BFCsDwt13AVJEamRti8tOoAjgbsRgkBo3u2ZubIODNS4yFOnSHMR6+MDypxA9XP5uNX92bK/C267rMmNgUhINxuZUDHaGaOjDNEubs3sFqtrHlwFA9/uJtPdue6Ndc5NMnf1h2ioLSKOZMuCVqh5wscDgcj/vINZR4YSkbahGGdsQOBKXC8jBCCP4yLZ3j31ny+O5sV352guNzhVjRByuqqLBPXqKrK0599z/tbj3vFMu13Y+J4cHyvkHgB+RNN01iYcpil247q+jsoAqaNCJ78k3NJimtJy6ZhnNDRZb5FpJ2UP13uh1EFBkVReOXWgdwwqAMz392p23yuhsVbjrHqh5OkPDqmUTR/rA8pJRsPnGLqou14sgMqwIyIXYApcHyAENUqOimuJc9ddwkLNx3mH19nUKDT0dUiqquyTGpHSknKwTye+jSNrALXLxk9KMCiqYMY2QhKk71JTfPMe97bQYkbK847hnYK2lW7EIIxPVvxHx2VLScbwUKlJi/nh9njSZi7ljNl7jlXnzpbRY+nVvH4VT2ZObJb0N4XDUFV1epWMYfcb76qAFaLYOBFzYMqad0fmALHxyiKwozkOKaP6Mrd725ndfopl+dE2C1M7B/rh9EFFzXbUC+vOoCX2gEBMLJ7SxZNSwy67ZJAI6XktdX7+ce6Q275c7RtauWZiX18Ni5fo2kae47ry8GRjUgrWywWtj52Kb2eXuVRBOL5Lw/w9obDjS6ao2kaV/9tA/tPul+d1zLSRotIO7cP6czU4Z0bpTisD1Pg+AkhBP+6YxA9nvzKZZWVEIIhXVr4Z2ABoroR42EWbsri9NlKLIqgV9soHhrfAyEEb2/IZPuRM5RWqQgg0golVXicOFwbPdpEMvvaiw3tu2JkUjPzWbhRv/mYRYFbB3fg2ev6BrWYXJhymKx8fS+jxtZSzmazkT57HAOfXUupB8lwp85WkfD8OnY+OTao7xE9SCnZfCifZz7/noNuWg+0aWpvdELQE0yB40csFgv9Okaz20Vn3jNlDuKf/JJbEy9i9rUXh9yDrmkak+elsv3IGTStOrHXoUp2HitkyoJtKIJfJHAWedEhv110GOsfGoXdHhwma0Zl/oYs3dtSh1+8xsej8R9Ltx3FolMQN0bhbLfbSZs13uMtl6JyJ7OXpzNn0iU+GJ0xqIl+vrv5KIXl7m3pje/Tln/dMciM1ujA/Ib8TB+dBn4OrToBb+Czq3E4GtaN2WgsTDnMrqOFSFktbjTJT1EtVf5S3HiLSLuFJTMS2fyny01x4wX25jbMYyjYqFlxHysop9KhL24VaQ+txYleLBYL781MYsmMRFq40aizhiWpR3jik+/YfCgfGWJhMCkl8zdk8c9vM90WN22ahZnixg3Mb8nPTOzfAasb33pxhUqfZ1ZRVeXdJn+BZOm2o6hSnidsfEmEXeGJq+L5btZ4RvRo0yhX1b6gUmfFTLg7N7xB0TSNhz/aw/8t2UGVU8Op8769bmAH3w7MwAghGNGjDTueHMsNA9q7da4qYcmWo0yel0rXx1Yw852tbjtkG5Ga++jPX6XjcDNRKdJuIeWPo01x4wbmN+VnkuJiGO6mT4FDg/inV7PxwMmgX81IKTlZVOmXJoPtosJ4f+YQ9s6+kl+P7m5ODF4mTKdwuSWho49H4ls0TeOuBVv5eGc2Z8ocuu0IWkbaeGZCb5+OLRioKSV/b9pgj184a9Lz6P7kSsrKjN99vS40TWPqwm18uivb7Sh1++hw9jw91sy5cRMR7C9MgISEBLl9+/ZAD0M3qqoy4e8ppJ/Q1/b+XPrFRvHxb4dhtQZP+lRNaH/+xkw2Z+RR5uOFWEykjb/d2t+M1viYsa98Q0ae6+TIQ3OvDNo8Mikl97+/g8+/O+nWeX07RPHJvcH1nPoDh8PBsBe/5rROy4zaeG/aYJJ7tjXUs33uHLf7WCHlDpUIm5WBFzVnxsiuJHZuzvVvbua7HPcdsHu1a8oXv08O2mfIR+j645sCJ0Bomsasz/eyOPWI25VBUeHVNulGnzxrHvq5X+xl/8mzuh1uPaVnm0hmmVVRfkOPwIkKt5I26wo/jcj7bNh/kjsXup5bLIqga6tIEjs3Z9LAjqYLdj1omsa8bzN4ceVBj80520eF8e3DgS8UqJnjnl+xl30nSnDT57BeoiOs3HdZd6aNCN6WHj5E18Nl7DdkCKMoCrMnXUxplZP/7XRtGHYuxRVOxr++kTUPjjLkjV/z0L/wZToHT5ZQoTdhwQME8PhVwdGJOtRoFu46XN4mKswPI/Edf/xfmstjbIrglsSLmHt9Xz+MKPhRFIXfXNqTmaO6MXt5Op/uyqakwumW2MktriT+6dW8Nz0hYJFaKSV/XXOQT3cfJ/tMhdfEjUWB6wd04KWb+5siuYGYAieACCF46aZ+nCwsY2PmGbfOzTxdyvA/r+Oy+DZM7N+BpLjArhirfW2ymJ+SxaniSlRZLT58MSQhqnv83Di4I89M6GOGbgNE7/bNyMgroaSi9ooiRcDtQzr7eVTeJbdYX3K/aczpPhaLhTmTLmHOpEvYfCifuxZscatLuwSmLNzOJbFRPHZ1b7/3+ErNLGB1+glOFlfi8FJ0OsKmcE3f9vzlpn6muPECpsAJMIqi8O7MJB78YDef7sl169wTRZUs3XqMD7Ydo1PLJsy97hK/bs84nU7uWbyTNftq7x4t8a7RWXS4hX/dmRCSTUidTif3LNnJ2vS8n1ayFgG3DI7luev7GVLETezfgT3Hizh8+iylP/rhnHvn9WrbjKnDg1vg6OGimCYM7RoT6GEENUlxMSTFtWT9wdNunadJSMsuZvK8LQC0irTxup/y75btySYzr5RyL/laxLWKZO71l4RMM1YjYObgGAQpJRv3n2DKop0NahqZ3C2Gd6YP8fkLsaqqiotnrfaZZ825KEBUhI27hnXmgXE9Q+7hdzqdDHx2DSWVtUdC2ja1sukx4zm71oTo16SfpLDcwemzlThUDasQJHVryYK7Egw3ZneQUtL1sRUuj1s6cwjDurf2w4hCG1VVGfXndWTrjJrVR9soO6/e3J/h3Vt7db6oaSq7ZMthMk+Xe+26FgEH515lbrPrx0wyDkYcDgcjX/pWV6fi+rApglsTOzJrYh+2HSlieVoOuUUVtI8OZ0K/2Hq3tKobKJ7mL1+l8112yU9J0IqAy3q15h+39WfQc+s8smJ3hQBGdIshzGYh/UQJAujdPooZyV1DdmUzc9HWOqNgNUxJ6sSc64yX4yGlZEtWAcv2/Hx/TewfGxJJtpsP5TN5XqrL47JeuDrof1ejoKoqk/+1ka3Hznrleu2ahfHKLf0aLHScTid3v7uddQfyvTKuCxFAVgi5ffsBU+AEK5qm8eAHu/h0zwmvXC/MKlCQVKo/G+s1C7dw/2U9mJ7cFSEEKQfzmLXsBzLyAuMzYVUE/TpG88j4niSFYBWUlJLUzIJfCM0hXZrT7YmvXJ4fblXY99xVfhipSQ2Pf5zG0q3H6o2otoq0sf2p8X4bU2NASsmG/Se4Z8kuyhzeeT+NiGvOuzOSPIooVlZW0mfWGo8aiLpDKLUz8QOmwAlmpJSkHDzFvUt21bl10VAsAhI6tyCxS3P++W2Wzx/gGhQBkWEWrujTjr/c1C/kw7I/beXsO0mYxUKETaHcoVFQWklBWRVF5fqMgcwJ0L9c/48Udh0rrPeYgRdF88n/JftpRI0LKSUvrfiBNzcc8cr1wq2Ct6ckMKKH/miOqqr0eXollX6YHM3n2y3MMvFgRghBcs+27HlmPH/8bxrr9p2iqNzhVRGiSthx9Ax7sot8Lm7sFoWm4RY6t4ykT/uokNnG0ENqZgFr9p2kddMwFCGQSDLyzjZ4G9LEtxSVu/779ImN9sNIGidCCB65+mKGdW/FHz5Ma5A5IECFU3LHgm1E2BQeHNeDGcmurSVmLdvrF3Fj4htMgWNwFEXhpZv7syWrgHnrD/HtgTyvmkk5NXBqvssUFgIuiY3i8QCUcRqF5Wk5hFksP4mb3UcLKShzb7K2hHaQy5CUV7mOnF7Tt50fRtJ4EUIwMr4d259q9+M2bz6Pf/IdWac930ovd2jMXbGfuSv2E2ETJHdvTetmYZworvxFjuJnu3O8+NvUTWyQ+0UZFVPgBAFCCJLiWjK0awyvrd7PP7855JfqpYbSPiqcV27p1+idhXOLKoiwKUhgb06J2+IGoG/7Zt4fmEm9nD7rupon/UQJw31QQVVTrbN021HOlDpoEWljcmInpo3oEvJbunUhhGBYt1asfXC0R7YatVHukKxOP/XTf0dHWNl9rJDxfdpy3+U9KNfZNb42LAKsFoVIm0AIyC+r+1p/ucl4BQShgClwggghBH8YF8+QLi2Ytmi7IUWOAC6Lb8XMUd0abcTmQtpHh7Mvt4Qyh8qpkgqPrvHIlb28PCoTV+h5vhZvzmJGcpxXPq8mQvHWNxlsyMg/r2N5fmkVz36RzrubD7P2wVGGb9PiSxRF4bXbBnLjoFhmvrsdCKHoAAAgAElEQVQDb6YoFpU7Kamo7hc1NK4lETYLDtV1jpygOsenY4smNIuwcaK44rwK0CFdWvDQB7tY/v3J8yLwzcItTE3qxIgebbz3S5j8hJlkHKSoqsrTn33Pkq3HG3ytcJtChRfUUrfWkax6YGRQe5/4gs2H8pm7Yi+5Z8rJ9yB6A3DjwFhevmWAoQRjzT340fbj/Ojzh0VQXQ13RXzQR+66/OkLl8fYFDj4fMOTQzVN4+GP0lielo2rnTG7BRbcFbgWBUai2tIijz98sJtTZxuWo3Mu0RFWJvSLRRHwXurReo8d2b0li6Ylupz3QtlSIQAYt4pKCPESMBGoAg4B06SUhT/+7DFgBqAC90kpV7q6XmMUODX8VG313nZKPHi+O7UI59r+7RtcRdWnXTOW/X6EKW5qoaaK6o2vMzxuONo0zMLbdyWSFNfSy6PzDFVVSf7zunpbGUTYFIbFxTBzZDeGdQu+aF78kyuo1NFHraHVL6qqcv2bm0jL1t9p2m4R3Du6W0gaX3qClJL1+3K5651dXrvmZb3aMO/OQYx66RuyC38ZeVUEvDPVeJ3NGwm6vvBAbeauBi6RUvYDDgCPAQgh+gC3ARcDVwJvCiHMN2Y91FRbpc25miUzEuneqonuczvFRLDuodE8dEVv3p2eSI/WkR6NoUN0GMvvSzbFTR0IIbh/bA+a2D3/fs5Wqsxbn4lRIq6zlu112aep3KGxbv9ppszfwkMf7ELzYTK7L7hpUAeff4bD4WDwc2vcEjcAVarkgx3H2ZJV4KORBRdCCEb3juXgs+MZ0ME7+Wrto8OxWCysf2QMU4Z1Jircis0iiAq3MmVYZw4+dyUj49uZ4sbABHyLSghxPXCTlPJXP0ZvkFK+8OPPVgKzpJSb67tGY47g1EZ1N+/T/OXLdNJySjg3aGAR0C46nOnJXZk2vO6ExZpw6ue7s1n9Qy55pbXvQ0fYBPPvSvRJomWoMfzFteTUshLUiwB+d2kcD47vFfBJtd+slRRX6PPvqcFI22x1GS+e6/CtqqouE0ZPIziqqjLw2TVuf481hFurG86aXcx/iaZpzN+QyZ+/2o+OIFyt/OfuJMNETE1+QdD44EwHPvjx/3cAzvVGP/7jv/0CIcTdwN0AnTp18uX4gg4hBMO7t+bT33suOmoqt5LiWvLcdZfw8Ie7+fKHkz/l6lgtgpZN7dw6uGNINr/0BW2ahjVI4EjgH19nkhTXMuBJiZ5Ul3zx/QluTiwI+EtDSsnrqw/wWVoOZ8udqFKSJgQpGae5qEUEOUXlFJY5aRFpQ0C9TsZWxXOxNmvZXo/FDYBTk+QWeX4/hTKKovDr0d2ZMTKO+RsyeWX1ASrcUDpxrSLNBqohgM8EjhBiDVCbScQTUsrPfjzmCcAJLKk5rZbja70rpZRvAW9BdQSnwQM2qRNFUXjl1oHcYibINYg+sVF810BTRQ34/dI97HhqbEC/93CrgkN1T+RUODSW7ckJuMDZlHGaRZsPU1rpRNV+nmBOl1ZxOP9nf5WisiqXjW/7dazd6K8mgvCv9ZkUlDqQVPeH69shiofGxzO8eys+3ZXdoN/DqgjaR4c36BqhTo3QmTmqG5sPneZP/93D0cL6DRwjbAor7x9hzmshgM8EjpRybH0/F0LcBUwALpc/75MdBy4657COgH+clkzq5dyIjolnTOzfgU0Zpzlc0LAuxAVlVWzJClwkREpJ11aRbueNAAGPOEgpefLT73S1x3BK6o3gNLFbeHhcDzYfyufz3cfZmlVATlEF5XVUJDo0yc5jRUxZuJWLWjRpcAuW5pF2JvaPbdA1Ggs1Ue1vH72czYdO89JX+9h9vPi8v60iYGzvNrx5+8BGXYYfSgTkryiEuBJ4FBgtpTzXkvJz4H0hxKtALNAD2BqAIZqYeJ2kuBgmDezA+1uOUljuwKlKlxGCughkJCQ1swDVg2owAQGPOGw+dJqsfP0CU1L94hNUm7apmoZFUWgRaeOWwR3ZcvgMq37I5eCpUt0O46oGR/Ib1tS2id3CrYM7mtsoblIjdD75nZkz2BgIlEx9AwgDVv8YBkyVUt4jpfxBCPEhsJfqrav/k1L6ptOkiYmfEULwwNieJMW1ZP7GLNJzq1eQvds148CJEo65kZ+TW9SwKFBDWJ6Ww7Ez7r+gw21KwCMOL6864PY5UkLTcCsT+8eetz2rqqrH/isN2VPv0aYps6/tE/Q+QyYmviYgAkdK2b2en80F5vpxOCYmfqPGbv7CxGxVVbnuzc18l12k6zp5xRVIKQPygsstqqC4wr11hwCuvqR9wCMO6bnub6tJoE1UGHOv7/tjhWI+b32bwTf7T+PPwndFwA2DOvDSTf1NYWNiogNzo9HExABYLBY++7/hPPJRGiu+z60zj6OG7MKKgOXhuLvN1MRm4aq+bXnppn4BfzE7POxUe/uQzlRWVjL0ha8pdFPceYuR3VvxlxsD/x2amAQLjbNrm4mJAVEUhZdv6c+CqYnYXDyZBWUOPt/V8DYdnjChn75tJotSnbS5YFoiL988wBBNIi0W98VB55gIbk9oT/wza7wqbvSORBFww4BYFk5LNMR3aGISLJhPi4mJgajZwmoWbnN57LK03IA4GyfFxdAs3LUrc/voCNpGhRuq6ard4t6UF24VrH1wFNe+mer6YDdQRLXppuDHBGYBYRcMzaYIBndqzuIZQ3jlVmMIRBOTYMLcojIxMSAxTe0UuGjMWVKpknLgJMnxtdlN+Q4hBP+8fSB3LKjfPbyyyhnwsvALsbqhEWKjwxgT3war1cqBU6VeHYciBFJKFKBZhI2ELi3QJKa/lImJFzEFjomJAZmc2Ilnv0h3edz0d3ey79krfbK6V1WVWcv28tnuHModKhE2C5MGxHJFn7as+P4kVoV6S6OLK5wBLwu/ED0mixEWSOwaQ0G5k2sHeL8fVbVsqTbZaR0Vxm0Jnbh/bA9T0JiYeBlT4JiYGJBpI7owd0U6ruxmqlTJwpQsZozs5tXPV1X1F12UHaqT91KP8l7qUSJtwqXvS6UqA14WfiHlVa5zaHq1j6ag3Mm43m29XvWlAHargs0i6Noqkseu7m2oLTwTk1DCFDgmJgZEURQmJ3ZkyVbXicSvr81genKcV1+Ss5btPU/cXEipQ1/uT2Ln5t4aUoORUuKiOA2APh2if7FN1LNNpFe2qSyKILlHK2aOjDO3oUxMfIyZtWZiYlDmTLpE13ElFU5SD5326md/tP2oV67z6P/SApIIXRspB/NcHhNuVZh7fd9fRFWW/2647qqn+pg0MJZ5UxLMqI2JiR8wBY6JiUGxWCy0baovyHr/f3ajad6xnZNS0oAm1+exLC2X1Mx871ysgTzz+Q8uj7HXkYVst9vZP2ccPdtEnvfv0RFWFk8brOvzLQLTx8bExI+YW1QmJgbm5ZsHcOfC+quVAE6drWLetxn85tKeDf7M1MyCBl+jhkqnZP7GrF84NweCQ6ddt5doGlb3lGi321n14Jhaf1ZfU84abh/aySz1NjHxI+bTZmJiYJJ7tmHiJfoaA76w8iBVVVUN/sxle7IbfI1z+T670KvX8wS922R9YqM8uv6gTvXnGtkVwayJfTy6tomJiWeYAsfExMAIIfjr7Qkkd9NXzTPkha8bvFX1g85+WHopLHcEPA9nU4br/BuAGcldPbr+f349BHsdLskKkPb0ZVgsrs0RTUxMvIcpcExMDI6iKLw7Y6iuYwvLnSxIyWrQ5x3JP9ug8y/EoUq2ZHlv28tdnE4nM97doetYT3t72Ww2fpg1joTOLX5KRhZAQucW7H92POHhxvIDMjFpDJg5OCYmQYCiKIRZBJU6nOpeWX2A6SO61prvIaUkNbOA5Wk55BZV0D46nAn9YkmKq44QbcrIo7DC+z2yl+3JCUhjUFVVGTJ3LRU66sOjwq0NSgC22Wz8997hHp9vYmLiXUyBYxKSaJrGgo1ZLNh0mPyzVVgUQa92zXh4fE+GdWsVlJUsNyd0ZPGWYy6PK6/SeOS/e3j55gHn/Z5SSl5bvZ8Pt2dTWFaFQ9WQwNJtR7EAmtTn9OsuViEC1rLh6c++p6BcX0nYkC7eNfUzMTEJLKbAMQkZaqITn+8+zhdpuRRXnu9au/NoIXcu2MpvR8fx4PheQSdyZl97MR9tP64rivPxzhxuGNiBET3aANWRjN8s3sGa9FpyUSR4P2ZTjQDC7ZaAtWz47w79CdPTk7v4biAmJiZ+xxQ4JiGBlJLX1xzg8905ZBeWUZcjv6rB37/O5I2vM39R1qsI6N8xmkeuiDdklMdisZD29OXEP7PG5bESuGP+tvP+25sIwKZAs3AbxRWOOh2CrQrERNoD1rJBjxisQVVdt3EwMTEJHswkY5OQIDUzn6VbjnH8TN3i5lxqe+1pEnYdK2Lmuzt4fc2BgFf+1EZYWBjv6TSWk+f8z5tcFt+K9389lP1zr2bH0+PZ/9xV3Diow3lVRBYF7BZB80g7k35se2B0Hvtkb6CHYGJi4kXMCI5JSDB/QxaF5VUuG0DqoaxK5YPtxxjWrVVAEmNdkdyzLTcMjOXjXTl+/+wOzcNZMO38ii5FUXj55v7cNLgj8zdmkZ5bjAT6tI9iRnLXgLYliAq3UqzTlvl4YbmPR2NiYuJPTIFjEhLszS2myosZsmdKHQGr/HGFEIKXb+7Pl9+foFxP90gvYbcIRves3XRQCMGwbq0M4Vh8Lr+/rBtzV+wP9DBMTEwCgLlFZRL0qKrKiWLvVumomhawyh89KIrCg2Mb3pZBLy0jbfRo24xrB3Tw22d6gxnJcdTRXuoX6D3OxMQkODAfaZOgZ9ayvWheTjSxKErAKn/0MmOkZ6677mAR0K6ZnXbR4Yzv0zYocmnORVEU3UlIl/Vq49vBmJiY+BVzi8okqNE0jY+2H/f6dVtE2gJW+aMXXzVutFsg0mahSbiN1s3C6NM+imsHdGBo1xjDVZa5Qkqpy9snwqbw5u0DfT+gIEBKyeZDp3l55QG+yynCcc4XaAH6dojij1f1MmSloYnJuZgCxyRo0TSNyfO2UOGNzOJzaGK3cGvCRUEXrfAUBYgMt5DYuQW/HtUtoEnB3iY1swAhoL6COCEg7emxWK2Nazp0OBzcNm8rO48W/hTkctUVXQV2Zxdz+9tb6RITztzr+zG8uyl0TIxJ43qiTUKKhSmH2XPc807VF07mFgH9L4rmkfHxJIXg6rRLywjW/GFUo3qRL0/LoVmYlaJ6Kqkui2+DzWbz46gCj8Ph4OJZq3+RmO/OTu/hggp+NX8rTe0KQ+NaMiM5jmHdQkccmwQ/jWemMwk5lm47isWDybRD83A2PnpZo5mII22CK/u256Wb+vtsW8uISCnZm1OMoog6IxN2i2CmH3KZjMZt87Z6rerwbJXG2n15rN33s0t2XMtw5kzqy4gerRvNc2ZiPEyBY2J4alowLNuTTXpuCSWVDpqF2ThWUIbVzRe2AlQ4tJCZdLu3bkJGXlmdP28WZmHeXYlBmT/TEKSUvL76ABmnSih3/NL50aqAIhTi2zU1pBWAr9l51PPIpx4y8yu4Y8HPTtq3DW7P3Bv6Y7FYfPq5JibnYgocE0NT04Lhs13ZHC+swHlBuVQl7tvrt4gMne2I2ddezJSF21BrSUOyKvDvOwc3yhf4pozTLEjJpKSy9vysqHAr0U3CePzq3o1K+EH1M+Vvj+7/7Mjlqx9Osv3JcY1qi9QksDSeeLVJUJKamc/7W47+f3v3HR5VmTZ+/HvPZEJC6L0qBEJTAREwEEAUsCu667q6Noq6a1vrupZ1FdvrWld3f+u+SlFfXXvDtioKCqEjRakpICVAEjrpM+f5/TETBQyZk2TqmftzXV4mk2eG++RMztznKffDpt1lv0hu6ut3Q48NyevEguE923LD6B60SkumeqcEt/j3f7rh1J4xV3gvEowx3P3uiqMmNwDlVT4uGNgp4ZI/YwzPfBGdwod7yy1+/fzCmNwCRTmTptIqpvm3YKgK2ev16diUCcOdk+CICLeO683wnm35aGUB2/eV07F5CucF9n9KtN4J8PfebN5bWWubCq/hxlN7JMTvxz/Eu4tpczeyfMsedpWE7u+prlZu28c1ryxl8oh0MtMT8/2pIkeckE0PHjzYLF26NNphqDDIeuwrCvaWh6RLvX/nZrx//XCdB+Bwv/pXtq05Ju2aJpN952hHrqAyxjA/t4gHPlpDTmFJtMM5TJu0ZDq0SGFc3/b8cUyGJjmqPmy9aXSISsUsYwzlVVadkhsX0CTZTfOUJJLdgsclNElxc9GgTnxwQ5YmNwlg7fZ9ttoVHqhk8KNf4/PVfR5XLLMsi9vfWsHl05aELLlpmeomo20arVKT8LhsfrocxYEKLwV7ynh5/iamZ2/SISsVNjpEpWKSMYanP1/H3tLahxoOJfiLtmV0aEq/js10uCZBeeuw/HlfmZcpH6/lwfHHhzGiyDHGcMfbK/lgeUGDez1P79eef18+6BelBaqHvKbO3cjs9YV13ibFsgxVPouDFT4e+ngND328htQk4dcndWHK+cfpTYgKGU1wVEzKziniX9/k2yqzX80ASW4X/To245ELTwhbbCq2eZJcVFXar279wfJtjkhwjDG8+E0u7y0vaPBrHdMytcbkBg7fOd7n8zHlozW8vngLVTYzHRE4UHF4r1mZ1/Dqoi28+91WVt43luTk5AYfg1Ka4KiYNOXjNXVKbqrFwx5SKrzaNfGwaXeF7fY11cmJN9XDUu+v2N7g1zq2VSpf3TbKVlFIt9vNgxecwIMXnIBlWUybm8dj/91w1L9dj4taCwyWVRn6/PVLXprgT66mfLyW/KISLOPfL+xXgzprL4+yTRMcFZPyi+s3dyCR9pBSv+Tz+di+3/6wJkCqJ74/LI0x3PrGcj5ctaNBr5OSJNxxem8mjeher4rXLpeLa07J4OpRPf2rtuZtZMXmvewr85+P5CRXYPiw9jsXC7jype9+8XhplcWri7bw9bpC5t55qiY5KihNcFRMsuqxf+aJXZtzy9heOtcmgT3w0RoqvHXr+rvgxM5hiiYysnOK6pXcCNAoSejcMpXLTu7GhOHHhmQrj0OHsIwxPDsrh1cWbKLCa+EzDd8Yt2BfBVM+XsOD43UYWtVOExwVk1wuaqzOWxMBWqUlceeZfTS5SXDvLdtSp/ZtmiRz/7l9wxRN+FmWxS1vrqjz85omC/++YjDDe4Z3rygR4eaxGTRN9fDP2Tl4LSskBTvfXbZVExwVlCY4Kia1b5pCwb7yoO0aJbno0CyZC0/sknBVadXhjDGUVNn/8OzQrBHz7hwdt0MdPp+Pc56bR3EdC/fde1ZvJo9Mj9jGqyLCpKxuHCir4sMVBWzeU2L75uVoSuowiVwlLk1wVMypqqqirCL4RTvZLVx0UhddBq4AfwVju/q0T+OTP46M2+TGGMOV0xaxbufBOj3v9H7tuOaUnmGK6uiqe3JOTm/Fo5+s4fuCAxGPQSUeTXBUTKmsrKTfA1/iDXKD5gJ+uF+Xk6qfPWlzj6UrTj6GKeOPi1gPRjhk5xSRnb+nTs9pnAT/+t2JYYoouOq5OTNvGkn2hp1cPmNZ1GJRiSF+/8KV4xhjGPXkt0GTm87NU1j34DhNbtRPjDF8vy14BeOWjT08eMHxcZ3cGGO4451VdXrOab1as+qBM2JiJ28RYUTvDtx1euR7klRiif67XamAhfm72LE/eP2SeXedpsNR6jAL8nYFTYwBbjytZ9y/d7Jzimz9nYB/EvXCu06NicTmSNeOzmDW+iKW/mhva41DNUuJz6FFFVnxexujHGfa3I222sX7B5QKLWMMD330fdB2yW5h4vBu4Q8oTIwxfLtuO5dPX2KrfdsmySy6+7SYTG7AXzfnrd8P576ze9MspW4x7i/3kXHPp1zz8hK8Xm+YIlTxLjbf+Sohrd2xP9ohqDiUnVPE2p2lQdv9+czecTM0ZVkW0+dt5N/f5LOrpLJe+0o9d8nAmJ9E7XK5mDyqJ5NH+YerjDGc/vS35BQFnzxdZRm+XFvICQ9+yar7xjpyV3jVMPHx164Sgp2LeEqSvmXVz3w+H3947ZdVb2syMat7mKMJDcuyuPTFhTz86TqK65ncjMpoQ2aPNiGPLdxEhCnj+9GoDn/nZZUWI5+cg1Wf6qDK0fTTQsWMfh2bBW1z65geEYhExQPLsjjnuXkcrAi+l1SSi7jpvZk2N59FG+u2QupQx7ZKZcaEwXE7lDusRxt+P6o7TZLt9z7t2FfJHW+txJiGFxFUzhEff/EqIUzK6k6bJkfvZu7ZJiUqNTxUbJo+b6PtOjB2JiBHmzGG7JxCHv3M3nL3o/n69lNifmiqNiLCreN68+JVgxnbtx2dW6TYet77KwqYn1sU5uhUPNE5OCqijDEszN/Nx6sK2L6vnI7NUzi3fycy01sxrEdrLht6LB+s2ErxwSrKKn0YwO2CrB6tmT5hSNzchavwm5Ztb1J6PDDG8PQX63h+Tn69hqSq9WqfFtfJTbVD97MC6HbXJ0GfY4Arpi/hlYlDyMoI7xYUKj5ogqMiwufzcf/M1by5ZAtVgbtp/2Z/Lr5aW8hvB3fhlnG9uGVcL4b1bMNHK39OgLRSsapJ4T57S6UB3K7Yfu/Mzy3m+dn5NHQ90APnHReSeGJN5xYpbNsbfOsWy8Ckl5dy/oBOPH5Rf70hSnBRTXBE5A7gCaCtMaZY/J9gzwJnA6XABGOMvRmEKmZVVVVx0iNfsb/88LkSBij3WuzcX86L8zZycnorhvdsS2Z6a91XSgUVfObNz3q0TQtbHKHwxOfrGpzc3Di62089Hk7z2IXHc8WMpbbaVvoM7y/fRtGBCmZM1F7fRBa1My8iXYFxwOZDHj4LyAj8dy3wfBRCUyHk8/k46ZFZv0hujlRW6eOpLzZEKCoV7+oymdQl8MB5/cIYTcOtLqh/iYTOzVN4bdJgbj+jn2N7OUf0asewbi1st/cZ+CanmNOenK11chJYNFPbZ4A7OXx18HjgFeO3EGghIh2jEp1qMGMME2YsYX957TM8DSAC67QOjrIpO8feZFKXwA2j02O+Z6OqDpOg3eJfKXXLmAw2/s/ZZN89hqxe7R2b3IB/Ts6r12TStWVqnZ63aXc5fe77nMrKyjBFpmJZVBIcETkf2GaMWXnEjzoDWw75fmvgsZpe41oRWSoiS4uKdOZ8LFqYv5sF+btst4+HlS4q+owx3PbWiqDtPC54dfJQbju9T8x/+NcluosGdeJvFw3g5rEZMX9coeR2u5lzxyl0aFa3Pei8Bnr99UtemJOjtXISTNgSHBGZJSI/1PDfeOBe4K81Pa2Gx2rsizbGvGCMGWyMGdy2bdtQhq5C5ONVBbaTFsuAZRnueW8VC/J2aT0LdVTfrttB4cGqoO3uOrsvw3vGx2qa1mn2P7TPH9iZzPTWcXFcoeZ2u5l356m0aVL3jXYf/e8GBj30pfbmJBCJ9AeJiJwAfIV/EjFAF6AAGApMAeYYY14PtF0PjDbGbK/tNQcPHmyWLrU3AU1FzsTpi5i9obhOz/G4oJHHTZPkJNJS3DRLSaZvx6acN6Azmem6kirReb1eev3lc4LlzQLkPXpW3EwwnfptHg9/us5W27aN3Sy+74yE/lvw+XxM+XgNry/aQpVVt8+wJDesfeB03dohvtl680f8r98Y870xpp0xppsxphv+YahBxpgdwEzgSvHLBPYFS25UbLIsq07DU9WqLDhY4WPHgQo27yrl+617eWfZVq5/bRl/enuldjEnuOteWx40uQHo1CIlbpIbgEkjujPk2Oa22haV+hK+oJ3b7ebB8Sew/uEzcdcxz/P64JQnv9VrSQKItSvAp0A+kAu8CFwf3XBUfc3I3kS5t2G9g1UWIILXMuwrreKd77Zx3P2fM/mlxczPLdZhrAQ0e12hrXaTRsTHvlPVXC4Xb/5+OPee1dtW+wdmrglzRPHB5XJx6dCudX5ewb5yev3lM/705jIdEnewiA9RhYMOUcWesU/PIbewpMGv4xL//JxDVRcIPOeEDjzxmwFxdaeu6sayLGZkb+L1JZvZU1LFrpLg8yeS3cK6h86M2/dF97s+CVrNWICNj50TiXBins/nY+QTcyiwUQiwNk2ShZ7tmtKicTKdWzb+qcJ6XYYCjTEsyCvmyS82sG7HAXyWoXWTZCYN78akEd3j9j0Zg2ydFK1krMJiT0nwSaB21DS8Xl0g8N3lBczP38W3d5yi4+kOVL2r9rIf9+KzjO0tDP58Zu+4/iBpnZZMcZBELv5vS0PH7XYz90+juf/DH3h18dZ6v87BSsOKrf5SFS5g7vpCfnVSV9ur1aq32/j3NxsPmxdUsLechz9dxxdrdvLGtZlx/d6MN/qbVmHRMi0yCcf2fRX0f3CWFvNyoOnzNrJ44x68dUhuBJiYFV/DU0f6wynp0Q4h7rjdbh7+1QDyHjmTKzOPafDrWcDmveX8/ascut/9Kcfd9wmTZiyqcWjc32uzi6tfXsI/ZucfddLz4k17mOGg/dPigfbgqLC4dMgxPPrJ2jqV06+vsiqLYY/N5tlLTmRYj8RcPutEz3+TV+eeio7NG8X9HfKkEd155NN1tR57WnL8b6gZDm63mwcvOIGyikreXr4jZK9bUgVfry/m6/XFtExN4tnf9mdDYSlvLNnC5t2lVPnsJeHPz8ln8sgeIYtL1U4THBUWE7O68cWaHSzauCci/17RwUp+N3UR7Zt4eOrigbqbsAPsqscwZ9+OzcIQSWS5XC5G92pTa4kF3autdrvKLITwDOXtKfNy5Uv+LRJdYGtVX7XdpVqDJ5Li+1ZHxSyXy8Xr12Ry37l96dwihUZJLjwuSE120SLFTbL7l7PE3AIDOjfhtN5taN80GY9L6lThFWDnwSomvLSEZ75Yrysj4lh9l/AO7xnbWzLYYYyhZVoyR9sAvW2TZK4eGd/DcKV4wzUAACAASURBVOHWsXkKzVLDf/+uC81jm/bgqLBxuVxMHpHO5BH+OQXGGBZt3M1HKwtYu30/+8uraJrioW+Hppw/sDMnd/95xYIxhoX5u3j007Ws3X4Abx2KeXkteG52Hv/+No+LB3dlyvnH4XZrl3688Pl8nPPcvHo9N7+o4Sv3om1B3i7mrN/J0fLzURlttAcniHP7dyI7r5iD5V58MXSf06oOFatVw2mCoyJGRMhMb23r4iwiDOvRhpk3jmBhXjGTX15KaV12JAQqffDqoi28+91WmjVys7fch9sl9OnQjNvH9WJ4zzY6jBVjLMti/D/nsW7nwXo9f/u+hi0VjgUvfpvL7tKjz17bXVKh79sgMtNbMb5/J15b/CO7S6pqXI0ZDX8YpRPII0mHqFRMExGG9WzLyr+OJdVTv7drWZVh50EvFV5DaaXFd5v3cvm0xVwxdSE+XySmQSs7vF4vpz01hx+21y+5Af/QRLwLVgF8wcbdEYokfokIt4zrxT8uHcSpvdvSukkyacku2qQlM7ZPO+47uzcndon8fK14K0AZ77QHR8UFj8fD9/eP45IXF7P0x4ZPXDbAvLzd9Lj3v9x1ek+uHZ0R96tv4pF/KHI3M1ds5c2lWxt0p52a7OK8AZ1CF1yUlAepeFBeFSPdETGuuhd4WI+a52VNHtUTn8/H/TNX8+bSrVTVYyyrLhOZLx/aVa8xEaaVjFVcMcZwx9srefe7bSF93cHHNOetPwzXC1AEWZbFHW+t5LPVOyir4/BjTW4c3Z3bz+gb98M33e76JGibTVrFOCyqqqoY/rc5FB20t9opyeWf8xeMxw3rHjxT5wKGTmxutqlUQ4gIT1zUn26tU0P6uks372NG9qaQvqaqWXU5+zFPfcN7KwpCktzcc0ZPRyQ3Kro8Hg+L7hnDfef0oflRVmH1ateEVyeexH3n9KVbmzSapSSRVsvwuQDf3zdGk5so0B4cFZfm5xbzu6mLQvqanVukkH3XmJC+ZqKpHnL6eFUB2/eV07F5yk97+gAsyCvm3vd/4MfdpSGZ+JmW7GLyiO7cOq63Y5Ib7cGJT1VVVVw6dQnLftyDwZ/YnHRsS16/eohuJRN6uheVcq5hPVozsmdr5ubWPiGzLoptdkurmlXvxTNj/o8crPh58vaHK7ZxTMsU1u4oaXDhtVaNk0jxuEGEfh2bMXlEdzLTtXq1ij6Px8M71w2PdhjqEJrgqLgkIrw0cQhnPzeX9TtDU/vEfbTKasqW7JxC/jk7/xdJzMEKH2t2NPwcHdMqldm3n6Jd/UopW3QOjopbbrebz24e9VO1ZI9bSGrAO7pPh6ahCy4B/fm9H8K2y3VWektNbpRSdaI9OCquHVktGWDSjEXMXl9c5w/bfh2ahDY4B7MsixnZm5ievZHCAxX4LBOWYmqpSS5euOJERvRqr8NQSqk60QRHOc7VI3uwats+DpR5qbS5yy/AZz/s5OFfhTW0mFOdqLy+eDOFByoAaNe0EUO6teT8gZ3x+XxM+Xgt+UUlES1538gNfzqjD5NGdE+opfv13YNLKfVLmuAoxxnWozWXDT2WmasKOFDmxWcMe0qD70y9q7QKr9dLUpLz/ywsy2Lq3Dwe+++GX/S87C/3kltUwutLtkY8rtZpHq4f3ZOJWd0SKrGB6hpPq6IdhlKO4fwruUo41WXah/Vsw0cr/cuV123fT4GNfYpOe/pb5twx2rEfrtU1aG5+cwVFB2Jn1VjzlCQmDO/GLeN6JexQ1LwNhby/PLQFLJVKZJrgKEc6cmPPBXnFXPpi8Lo5m3eXMSN7I5NH9gh3iBHn8/mYOGMJ83J3EUsDIaMzWvH70RkJvdzb6/Uy4aWltoZTE/M3pFTdaYKjEkJmemvaN01mp41eiyc+38DErPie+2FZFtPm5fOPr/PYH2xzoyjp1yGNmTeOSIghwWCue2257TlOnVvE/4aiSkWCXllUQhARnvrNAC6fviRo23KvxaUvLOT1azPjLsnx+Xz89cMf+M/irWFbst0QrRonMejYVlqg7whz1hfZbluwrxyfz6dL5pUKQhMclTCyMtrSromHwoPBJxwv+XEPM+ZvOmz5eSwzxpCdU8TkV5ZS4Y291CYt2cXVI9O5ZWzizrGpjbcOa+wtA+f+Yx6f/HFk3CXgSkWS/nWohCEiPH3xQFttLQPT520Mc0ShUVFRwUkPfcnl05fEVHKT5PL32Izp05apVw3R5KYWSXWsor1ux0HdHFapILQHRyWUrIy2HNchjdU2tg6Ih72pysrK6Dvl66jG4AIGdGnGn87sw7AebTSJqYfRvdvy5dpC2+0N8NAna3n6y/U8/7uBjOzdQX/vSh1BdxNXCcfr9dL3r59TFWQpUeNkF2sePCsyQdVDVVUVve77IqxzbZo0cjG0WyuuGdVD58yEkdfr5fgHvqC8nj1wN43uzm1n9NXzoxKF7iauVE2SkpKYMWEIV81YUuvKlb4dmkUuqDqyLIusx+eEJLlxCXRpkcKIjLacP7AzJ3dvpR+UEZaUlMT3949j7NPf8OOeijo///lvN5LVq/1PZRGUUprgqASVldGW8QM78f7yghqThFSPcPvpvSIel10zsjdR2IBCfUkCyR4XfTs04/bTe+nQUgzweDzMuXMM83OLeGDmGnKK7O/A7rXgg++2aIKj1CE0wVEJSUR48jcDwMBnq3dQ4bUwBjxuoWWah0sGd2VYjzbRDvOoXl+yuV7P+92Qzjx0wQm6xDhGiQhZGe348vZ2ZOcUMunlZVR47ZVl/GDFdh65UM+tUtV0Do5KaMYYFm3c/dOWDh2bp3DegE4xP0xz0kNfsqvEXg9OshvuOL0XV4/socuK44gxhr/P2sCbS7ewY5+9Yav2zTxk33maFk9UTmfr4qwJjlIx7qcdv5dsZk9JFS3TPOwpqWR3SVXQOTh3n9GTa0fr8ux4VZ2AX/biQtuVjts0SWbR3adpT45yMlsXNL2dUyqGeb1eRj8xm4c+WUtuYQm7SirJKyxhl43k5vpRx2pyE+eq91SbfuUg288pPljJlI/XhjEqpeKDJjhKxSjLsjj1yW/YvOfwXdCDJTapSS7+b+JJ/Oms4zS5cYhRfTpwwYD2ttt/oLuSK6WTjJWKVdPmbmTL3vLgDQM8ApdmHssD5/XTuTYOIyI8/dtB5Bdns2rb/qDty6p8EYhKqdimV0GlYpAxhn/MzqnTc9IaJeH1WZrcOJTL5eL964fbmnyQ6tH5N0rplVCpGGOM4dlZOewvr9td+N5yL2u2B7+7V/HL7XZz2cldg7ar8FqMfXoO0+bmY1n2lpkr5TS6ikqpGGCMYd6Gndz61iqKS4Lvdn40nVukkH3XmBBGpmKNz+cj67Gv2HHA3vukXZNksv88Go/HE+bIlIoYXUWlVDwwxvD4pz9wxYxlDUpuAMoqvCGKSsUqt9tN9l1juGxoFzzu4Nf5woOVnPTIV/h8Oi9HJRZNcJSKsuycIp6fW7/KxEfSj7DE4Ha7eeRXA8h55Gw2PXYOPdul1Xox31/u4/6ZqyMWn1KxQBMcpaLIGMMd76wK2et5fTrfIhHtKaki2Jl/bdEWFuQV44RpCUrZoQmOUlG0IG8XO/bXfffoo3HrCqqE1DIt+PwaA0x6aQnPfLlekxyVEPRqqFSUeL1ebvjPdyF9zXbNGoX09VR8uHTIMbbalVVZ/HN2HvNzi8IckVLRpwmOUlHg9XoZ9PBX7Cm1N6k4JcnFMa1Sa22T7BZ+N/TYUISn4szErG6kJNm7nFsG7nhrRZgjUir6NMFRKsKMMVz4r/nsL7e/4mnqlYOYffspjOzZusafu11wYtcWTBiuCU4icrlcTK3DflXbD1TpqirleJrgKBVh83OL+b7ggK22Atw0ujtZGe1wu928MvlkXr96KCcd04LGyW4aJbno3CKFe87qy+vXZmoV4wSWldGOX53YyXb7KR+tCWM0SkWfFvpTKoKMMYz62yy27K0M2raxx8XUK09iWM+2ummmssWyLAY8+AUHbFTBbuwR1jx0dgSiUirktNCfUrFmzpoCW8mNANMmDGF4RjtNbpRtLpeLW8b0stW2tCr+b26Vqo0mOEpFiNfrZeL/2ZvcOaBLczLTa55vo1RtJmZ1I6NN7RPSq83PLdIl48qxNMFRKgIsy+KsZ+faautxC+/8IVN7blS9uFwu/nvrKbbaXjZ1MVdNX6QTjpUjaYKjVJgYY8jOKWTsU3NIv+czcopKbT3vpQmDSUpKCnN0ysncbjcndm0etJ0Bvs3ZxXn/zNZdx5XjRC3BEZGbRGS9iKwWkccPefxuEckN/OyMaMWnVH35fD7+8v4qMu79lMumLSG3qKROzx/es22YIlOJpHWa/aKP63Yc4KX5P4YxGqUiLyq3iSJyKjAe6G+MqRCRdoHH+wGXAMcBnYBZItLLGKP9pyou+Hw+Rj4+h4J95fV6fpcWKTo0pULCwv7cGsvAfxb/yKQR3cMYkVKRFa0enOuAx4wxFQDGmMLA4+OBN4wxFcaYjUAuMDRKMSpVZw98tKbeyQ3A3359QgijUYmsY3N7E42r7SmxV1VbqXgRrQSnFzBSRBaJyDciMiTweGdgyyHttgYe+wURuVZElorI0qIi3VdFxYYPVxTU+7kje7TS4SkVMuf272SvWEiAnQ07lYonYRuiEpFZQIcafnRv4N9tCWQCQ4C3RCSdmov31NjPaox5AXgB/IX+QhGzUg1VVlW/0dQ+HZry0qShOjylQiYzvRXD01uSnb/HVnvdx0w5TdgSHGPM2KP9TESuA94z/gIMi0XEAtrg77HpekjTLkD9b4mVirBUj5sqn/09ppJccNeZfZg0ortus6BCSkR4ZfLJHHf/55R7a78HdAu6j5lynGhdUT8ATgMQkV5AMlAMzAQuEZFGItIdyAAWRylGpeps/ED7ewF1bdGIdQ+ewdWjemhyo8LC7XYz9crBQdu5BH0PKseJ1jt6OpAuIj8AbwBXGb/VwFvAGuC/wA26gkrFkwfO62erXc+2aXxz52la70aFXVZG8Hldlg7yKweKytXVGFMJXH6Unz0CPBLZiJQKDbfbTSO3UOGr/RPjpGOa6x2zigg787o0wVFOpFdYpULM7Qr+gZJrs6qxUg1lZ68pzW+UE2mCo1SIpSYH7xhdtnlvBCJRChbk7Yp2CEpFhSY4SoXYiV1b2GpXVaWF1VT4vfhtbtA2WpxAOZEmOEqF2OSR9srdX/KiLhBU4bcwf3fQNq3TkiMQiVKRpQmOUiGWmd4at41bYh2mUpFQFqQGDsB1o9MjEIlSkaUJjlIhJiKc0ku3XFDxY2KWbrKpnEcTHKXC4JpRekesos/rtVdVW0sWKCfSd7VSYZCZ3prGntr/vNo20XkPKrz+8Op30Q5BqajRBEepMBAR/vfyE2tt88zF/SMUjUpUX68rCtrGRtkmpeKSJjhKhcmIXu256dR0Uo/oyXG74FcndmR4T52no8LLstGmSSPdLkQ5kyY4SoWJiHDruN6cfXwHmjZy43EJyW6hSaMkvtuyj+e+yrFVZVap+rAsO+kNDO3WKsyRKBUdmuAoFUYL83cze/1OSqt8VFmGSp9hX5mXLbtLeWXBRhbma5VZFXrGGG57c4WttnbrNikVbzTBUSqMXvw2l92lPnxH3Ez7LNhd6uN/5+REJzDlaPNzi/lw5fag7bq3TiUzvXUEIlIq8jTBUSqMglWRnZe3W4epVEhZlsUtby63tYHmoxeeYGu3caXikSY4SoVRsCqyXgsWbQxeSl8pu6bNzafooL19zjJ7tAlzNEpFjyY4SkXZRysLoh2CcghjDE99sd5WWwHtvVGOpgmOUmFkp8bI6oJ9OkylQmJB3i7KffbannSsvV3vlYpXWgBBqTDq0TaNnMKSWtv8sG0fz3yxnltP7+2YO2pjDAvzd/PxqgK27yunY/MUzu3ficz0Vo45xlhjjOHJz9fZautxwetXDw1zREpFl/bgKBVGD5zXL2gbrwX/+iaP+bnBq87GA2MMz87K4ZFP17Bu+wEqq3ys236ARz5do7V/wsQYwzNfrmf5ln222q+ZcjoejyfMUSkVXdqDo1QYDe/ZlvbNktm5v7LWdl4Lpny0li9uaxehyMJnYf5uZq3bSZsmyWzbU87qglIqfRbGQF5hCU0auZk0Il17ckJoQd4uXlmw2dbKKQFNblRC0B4cpcJIREjzuG21zS06GOZoIuPjVQU0crtYsXkfOYUHKfdaWAYMUFbl46FP1jH68a/IzinS3pwQmZ69kQMV9lZOdW6REuZolIoNmuAoFWblQZaKV7Mc8lm/fV85u0sq2Vd29A/cH/dUcNm0xdz25nLbWwqowxljWJC3i3vf/565OUX4rOCT2gX4269PiEh8SkWbDlEpFWYHK7y22jllV+eOzVPIzi22NVzy/ortCMJTvx2oQ1Z1YFkWf3pnFbPW7KC80kdFIEesLUl2ATecmq6bvKqEoT04SsWIFqluR/RmnNu/E94j96aoxSc/7NBih3VgjOHWN77j3e+2sa/85+SmNm6Be8/ty22n99FEUiUM7cFRKszaNW3E/vLgvTi7S32c/dw8PrkpC7fb3rydWJSZ3opmqR72lNqbE1LhtXjx23z+9tlaVm3dh++QXoiebRrzwPnHkZXRVj+YA+ZtKOTDVTttt3e74MKBnZmU1V1/hyqhaA+OUmH228FdbLddt+MAF/y/7LjuyRERbhjdo07Pmb2+kOVbDk9uAHKLS7l8+hJufWNZXP9OQumu93+w3dYTSG4ev6i/Jjcq4WgPjlJhVtcPlu8LDnDV9EW8POlkXK7YvAfx+XzcP3M17y7b+tN+W42T3QxLb8XVI9OZmNWNF+bmU3ig9uXx1YJNsP5g5U7crlU8efGAhP+g3ra33HbbE7q04Inf6O9MJabYvHoq5SBvLN1S5+fMzd3Nra8vi8ll1D6fj5GPz+bVRVsO20y0tNLHV+uKuPmNFfzj6zzm/emUkP67n/6wPWHn6liWxdRv8xj80Be2n+MC+nZspsmNSlia4CgVZntKqqjPR8yH3xcyb4P9uRaRcv/M1RTsqzjqzwsPVPDGks0s27Kf9Nahq7lS4bUScmNSn8/HmX//hoc/XUdxib15TQApHjfnDegUxsiUim2a4CgVZi3TPNT3Jvq2t78PbTAh8M6ybUHb7NhfwSOfrOHB8ceTVMtVpn/HNNv/rjH+GjuJwBjD/NxiJr+0mL5//ZwNhaV1fo2zTmjPyd1bhSE6peKDJjhKhdmlQ47BXc8iN0UH7c1hiaRyr73JvqsLDuAS4bpR6bRK8+ASf6E5l0CrNA9/PDWdu8453nbvlsctdGzu/Cq8lmVx2xvLuXL6Ir5aV0TlkTOvbRDgiYt07o1KbDrJWKkwm5jVjc9X72DZ5j3UoTxM3DPAXz5cw6zbRpHVqx0frfx5Z/HzBnT6qXfh+E5N+b7gQNDXa5mW7PghF8uyuGr6Yubm7mrQ63RqkRKzE9SVihRNcJQKM5fLxRvXZjIjexPTszdSdKCiXnflsaJZipv95T5bbTftKmHRxt0M69GGzPTWNbZ5//rhDH1kFrvLjv6aqR7hksFdHTvk4t92oZjb3lrFjv0NH4abNKJ7CKJSKr5piq9UBLhcLiaPTCf7rjFseORsxva1Vy6/eWrs3YPcWIcaN5aBRz9ZU+tqsKSkJJb8ZRxXnNwVzxFXJAEGdW3OtKuGcMu4Xo4ccrEsizveXsGEGUtCktwkuYSJw7s1PDCl4lzsXT2VSgCz1xfZanf28R3CHEndXT2qB//7bR67Su314nxfcIAFecW17oHkdrt56ML+PHRh/1CFGfOql34/9t8NhHLk8pRebXV4Sim0B0epqLAzF0eA8Sfar4IcKS6Xi4V3jyH1yO6WWtz+1qqYrOkTLZZlcckLC3g0xMlNi1QPV4/U4SmlQBMcpWJWh2YpMTvnxOPx8P3940i2uWXW9v3lLMwrDm9QMc6yLKbNzSfrsa/IuPczFm/aG5LXdeFfmdYi1cNVw4496lwnpRKNDlEpFQWdW6QELbn/1MWxvX9QUlISvx7UhdeXbLXV/qoZS5h+1eCE2zjT5/Px1w9/4D+Lt9LQPqy+HZrw0Y1ZLPlxL9PmbWTt9v0YoF/HZkwe0Z3M9NYJ9btVqjbihG7jwYMHm6VLl0Y7DKVsm7dhJ1dMX3rUD7wL+rfnmUtPivkPqwV5u7ju1aXsLQu+WzqAW6Bvx6bcc3Y/hvVw/odxZWUlAx6aRVlVw66zqR4Xt4/rxaQR3XV+jVLYK5+lCY5SUWCM4ekv1vHSgh85cMiSa49LOLd/e566+MS4+CCrPo5/zM6v0/PcLsjq0YYZEwbjdtsc54oD/grERTzw0Rryi0p+sTt6XSW7hfMGdOSJiwbExftBqQjRBEepWGaMYdHG3TUWwIunng1jDC/MyeF/Ps+p83OPaZXK7NtPieskxxjDvA2F3PXeD2wL4VYSyUnCSxOGMKxHm7h6PygVAZrgKKUio7on55+z8+s9zyQtCdIauUnyeOjXsRmTsrrH7DCWz+fj/pmreWfZVsq9ob+GuoB1D44jOTk55K+tlAPYuijoJGOlVIOJCLed3oe9pV7+b9Hmer1GiRdKvD7AR8Hecr5eW8j4gR154qL+TM/exN+/yqG08udF1R6BrJ6tuPaUjMMSIWMMC/N38/Gqn3vGzu3ficz0+vWMHf56ZQgwL6eYijBVox7UtTlvXnsyHo8nLK+vVKLQHhylVMhYlsU5z81j7Y7ge0vZ1TLVzZ5atnEAf49H81Q3ZZU+jraLRIsUN78f1Y13l28nr6jUVk+TC0Jap6YmHjdcf0oPbhnXOyZ7q5SKQTpEpZSKPJ/Px8SXljIvtxgr/i8vYdXIDdOuGkxWRjtNbpSyT4eolFKR53a7eXnSUBbm7+KJz9ezfPPeBtd/caKs9Ba8MjkzridYKxXLdN2hUirkRIRhPdrw7nXDuem0Hnjc2jtRrVe7Jrw2eQivXjNckxulwkh7cJRSYSMi3DquN5nprbn9rVVsD8Fu2fHo8pO7MuX84zShUSqCdA6OUioiqovgTZixhKpwz9yNEb3bN+HTP47QxEap0LLVJaxDVEqpiBARsjLasfbBMxjbp020wwmrJsku/nJ2Hz67eaQmN0pFSVSGqERkIPBvIAXwAtcbYxaLfxnBs8DZQCkwwRjzXTRiVEqFR1JSElMnnIxlWcyYv4np8zZSeKACr8/8NBlZgJ5t0/jN4C68tmgzP+4ui2bINTquQ2P2llscLPdS5fOR2sjDwC7NuXpkum56qVQMiNYcnMeBKcaYz0Tk7MD3o4GzgIzAfycDzwf+r5RyGJfLxeQR6UwekX7UNsYYSip9vL54C3tKKw9Lgn56HaCRx0XjZDelFVVUeGuuXdOzTWMuHtyZt5dtI6+41NYSdjdwZFmdk45pwRvXDNVCfErFuGglOAZoFvi6OVAQ+Ho88IrxTwxaKCItRKSjMWZ7NIJUSkWXiHDL2F5kprdm2ryNrN2+HwP069iMySO616un5NrRvcITrFIqpkQrwbkF+FxEnsR/AzY88HhnYMsh7bYGHvtFgiMi1wLXAhxzzDFhDVYpFT3VS86H9XD2vB2lVGiFLcERkVlAhxp+dC8wBrjVGPOuiFwMTAPGUvPM6Bo7ko0xLwAvgH8VVUiCVkoppZQjhC3BMcaMPdrPROQV4ObAt28DUwNfbwW6HtK0Cz8PXymllFJK2RKtZeIFwCmBr08DcgJfzwSuFL9MYJ/Ov1FKKaVUXUVrDs41wLMikgSUE5hLA3yKf4l4Lv5l4hOjE55SSiml4llUEhxjzDzgpBoeN8ANkY9IKaWUUk6ilYyVUkop5Tia4CillFLKcTTBUUoppZTjaIKjlFJKKcfRBEcppZRSjqMJjlJKKaUcRxMcpZRSSjmOJjhKKaWUchxNcJRSSinlOJrgKKWUUspxNMFRSimllONogqOUUkopx9EERymllFKOI/4NvOObiBQBP4bgpdoAxSF4nViXKMcJeqxOlCjHCXqsTpQoxwnhO9ZiY8yZwRo5IsEJFRFZaowZHO04wi1RjhP0WJ0oUY4T9FidKFGOE6J/rDpEpZRSSinH0QRHKaWUUo6jCc7hXoh2ABGSKMcJeqxOlCjHCXqsTpQoxwlRPladg6OUUkopx9EeHKWUUko5jiY4SimllHIcTXAAERkoIgtFZIWILBWRoYHHRUSeE5FcEVklIoOiHWtDichNIrJeRFaLyOOHPH534DjXi8gZ0YwxlETkDhExItIm8L2jzqmIPCEi6wLH8r6ItDjkZ447pyJyZuB4ckXkrmjHEyoi0lVEZovI2sDf5s2Bx1uJyJcikhP4f8toxxoqIuIWkeUi8nHg++4isihwrG+KSHK0YwwFEWkhIu8E/k7XisgwJ55XEbk18N79QUReF5GUaJ9TTXD8HgemGGMGAn8NfA9wFpAR+O9a4PnohBcaInIqMB7ob4w5Dngy8Hg/4BLgOOBM4F8i4o5aoCEiIl2BccDmQx521DkFvgSON8b0BzYAd4Mzz2kg/v+H/xz2Ay4NHKcTeIHbjTF9gUzghsCx3QV8ZYzJAL4KfO8UNwNrD/n+b8AzgWPdA0yOSlSh9yzwX2NMH2AA/mN21HkVkc7AH4HBxpjjATf+609Uz6kmOH4GaBb4ujlQEPh6PPCK8VsItBCRjtEIMESuAx4zxlQAGGMKA4+PB94wxlQYYzYCucDQKMUYSs8Ad+I/v9UcdU6NMV8YY7yBbxcCXQJfO/GcDgVyjTH5xphK4A38xxn3jDHbjTHfBb4+gP9DsDP+43s50Oxl4ILoRBhaItIFOAeYGvhegNOAdwJNHHGsItIMGAVMAzDGVBpj9uLM85oEpIpIEtAY2E6Uz6kmOH63AE+IyBb8vRp3Bx7vDGw5pN3WwGPxqhcwMtBl+I2IDAk87rTjRETOB7YZY1YePzlUyAAABCJJREFU8SPHHeshJgGfBb524nE68Zh+QUS6AScCi4D2xpjt4E+CgHbRiyyk/o7/5sMKfN8a2HtIsu6Uc5sOFAEzAsNxU0UkDYedV2PMNvyfnZvxJzb7gGVE+ZwmRfIfiyYRmQV0qOFH9wJjgFuNMe+KyMX4s+2xgNTQPqbX1Qc5ziSgJf4u8CHAWyKSThweJwQ91nuA02t6Wg2PxfSx1nacxpgPA23uxT/M8Vr102poH9PHaYMTj+kwItIEeBe4xRiz39+x4Swici5QaIxZJiKjqx+uoakTzm0SMAi4yRizSESeJc6Ho2oSmEM0HugO7AXexj+UfKSIntOESXCMMWOP9jMReQX/eDD4T8zUwNdbga6HNO3Cz8NXMSnIcV4HvGf8xY8Wi4iFfzO0uDtOOPqxisgJ+P/QVgY+ILoA3wUmj8fdsdZ2TgFE5CrgXGCM+bmwVdwdpw1OPKafiIgHf3LzmjHmvcDDO0WkozFme2AotfDorxA3soDzReRsIAX/9IC/4x8uTgrc8Tvl3G4FthpjFgW+fwd/guO08zoW2GiMKQIQkfeA4UT5nOoQlV8BcErg69OAnMDXM4ErAytvMoF91d2KceoD/MeHiPQCkvHv9DoTuEREGolId/wTcBdHLcoGMsZ8b4xpZ4zpZozphv8iM8gYswOHnVMRORP4M3C+Mab0kB856pwGLAEyAiszkvFPYpwZ5ZhCIjAHZRqw1hjz9CE/mglcFfj6KuDDSMcWasaYu40xXQJ/m5cAXxtjLgNmAxcFmjnlWHcAW0Skd+ChMcAanHdeNwOZItI48F6uPs6ontOE6cEJ4hrg2cDkqHL8q2sAPgXOxj9BsxSYGJ3wQmY6MF1EfgAqgasCd/yrReQt/G9IL3CDMcYXxTjDyWnn9J9AI+DLQG/VQmPMH4wxjjunxhiviNwIfI5/lcZ0Y8zqKIcVKlnAFcD3IrIi8Ng9wGP4h5In4/8Q+U2U4ouEPwNviMjDwHICE3Md4CbgtUBSno//muPCQec1MPz2DvAd/uvNcvzbNHxCFM+pbtWglFJKKcfRISqllFJKOY4mOEoppZRyHE1wlFJKKeU4muAopZRSynE0wVFKKaWU42iCo5RSSinH0QRHKaWUUo6jCY5SKq6IyBARWSUiKSKSJiKrReT4aMellIotWuhPKRV3ApVRU4BU/Hv9/E+UQ1JKxRhNcJRScSdQ9n4J/q1Vhsf7NhRKqdDTISqlVDxqBTQBmuLvyVFKqcNoD45SKu6IyEzgDaA70NEYc2OUQ1JKxRjdTVwpFVdE5ErAa4z5j4i4gfkicpox5utox6aUih3ag6OUUkopx9E5OEoppZRyHE1wlFJKKeU4muAopZRSynE0wVFKKaWU42iCo5RSSinH0QRHKaWUUo6jCY5SSimlHOf/A99oDi9qX1YqAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dftsne = pd.DataFrame(X_tsne, columns=['x','y'], index=dfsvd.index)\n",
"\n",
"ax = sns.lmplot('x', 'y', dftsne, fit_reg=False, size=8\n",
" ,scatter_kws={'alpha':0.7,'s':60})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pairs-plots are a simple representation using a set of 2D scatterplots, plotting each component against another component, and coloring the datapoints according to their classification "
]
},
{
"cell_type": "code",
"execution_count": 141,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plotdims = 5\n",
"ploteorows = 1\n",
"dfsvdplot = dfsvd[svdcols].iloc[:,:plotdims]\n",
"#dfsvdplot['TYPEHUQ']=df['TYPEHUQ']\n",
"ax = sns.pairplot(dfsvdplot.iloc[::ploteorows,:], size=1.8)"
]
}
],
"metadata": {
"_change_revision": 206,
"_is_fork": false,
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 1
}