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School/Anul 2/Semestrul 2/AI/K-means.ipynb
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2024-08-31 12:07:21 +03:00

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{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Unsupervise learning using k-means Clustering\n",
"\n",
"## Overview\n",
"\n",
"K-means clustering is a popular unsupervised learning algorithm used for clustering data points into groups or clusters based on their similarity. It is widely used in various fields such as image segmentation, document clustering, and customer segmentation. The k-means algorithm aims to minimize the sum of squared distances between the data points and their nearest cluster center, also known as centroids.\n",
"\n",
"\n",
"Objectives:\n",
"1. To implement k-means clustering in Python using the SciPy library.\n",
"2. To evaluate the performance of our algorithm.\n",
"3. To determine an optimal value for k.\n",
"\n",
"In the following steps we an example for clustering using Numpy and SciPy:\n",
"\n",
"### Step1: Creating and vizualising a Mock Database\n",
"\n",
"We will create a mock database with random data points using NumPy. For this we will generate a dataset with 50 samples and 2 features. Observe that we have no class apriory apointed to the samples. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"# Generate a random dataset with 50 samples and 2 features\n",
"np.random.seed(0)\n",
"X = np.random.randn(50, 2)\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We will define two functions that will allow us to visualise the points and the belonging cluster (if K means is performed)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"def plot_data(X):\n",
" # Plot the data points\n",
" plt.figure(figsize=(8, 6))\n",
" # put a caption on the plot\n",
" plt.title('Data points')\n",
" # label the x-axis\n",
" plt.xlabel('feature 1')\n",
" # label the y-axis\n",
" plt.ylabel('feature 2')\n",
" plt.scatter(X[:, 0], X[:, 1])\n",
" plt.show()\n",
"\n",
"def plot_data_clusters(X, labels, centroids):\n",
" # Plot the data points and their assigned labels\n",
" plt.scatter(X[:, 0], X[:, 1], c=labels)\n",
" plt.scatter(centroids[:, 0], centroids[:, 1], c='r', marker='x')\n",
" plt.show()\n",
"\n",
"\n",
"plot_data(X)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step 2: Implementing k-means Clustering in Python with SciPy\n",
"\n",
"We will use the *scipy.cluster* module to implement **k-means clustering**. We specify the number of clusters as 3 and perform k-means clustering on the dataset using the kmeans function. We also assign each data point to a cluster using the *vq* function. Finally, we print the assigned labels."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2 1 2 2 1 1 2 1 2 2 0 2 2 2 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 2 0 0 2 2\n",
" 2 0 0 0 2 1 2 1 1 1 1 1 1]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.cluster.vq import kmeans, vq\n",
"\n",
"# Specify the number of clusters\n",
"k = 3\n",
"\n",
"# Perform k-means clustering on the dataset\n",
"centroids, _ = kmeans(X, k)\n",
"\n",
"# Assign each data point to a cluster\n",
"labels, _ = vq(X, centroids)\n",
"\n",
"# Print the assigned labels\n",
"print(labels)\n",
"\n",
"plot_data_clusters(X, labels, centroids)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Step 3: Varying the Number of Clusters\n",
"In the previous example, we specified the number of clusters as 3. You can experiment with different values of k and see how the clustering results change."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 0\n",
" 0 1 1 1 0 0 0 1 1 0 0 0 0]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Specify the number of clusters\n",
"k = 2\n",
"\n",
"# Perform k-means clustering on the dataset\n",
"centroids, _ = kmeans(X, k)\n",
"\n",
"# Assign each data point to a cluster\n",
"labels, _ = vq(X, centroids)\n",
"\n",
"# Print the assigned labels\n",
"print(labels)\n",
"\n",
"plot_data_clusters(X, labels, centroids)\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step 4: Evaluating the Clustering Results\n",
"\n",
"We can evaluate the quality of the clustering results using different metrics such as the *Silhouette score* and the *Calinski-Harabasz index*.\n",
"\n",
"\n",
"1. The *Silhouette score* shows how far apart the data points in a cluster are compared to how far apart the data points in other clusters are. Both cohesion and separation are taken into account.\n",
"\n",
"A score of -1 means that the data point is far away from other points in its own cluster and close to points in neighboring clusters. \n",
"\n",
"A score of 1 means that the data point is close to other points in its own cluster and far away from points in neighboring clusters. \n",
"\n",
"A number of 0 means that the data point is right on the edge of two groups.\n",
"\n",
"\n",
"To figure out the Silhouette score for a clustering solution, we first figure out the average Silhouette score for each data point in the dataset. Then, we take the mean of these scores as the Silhouette score for the clustering solution. Better performance in grouping is shown by a higher Silhouette score.\n",
"\n",
"The Silhouette score can be used to judge the quality of clustering solutions with different numbers of groups or different methods for clustering. The best number of clusters for a given dataset can also be found by comparing the Silhouette scores for different numbers of clusters.\n",
"\n",
"2. The *Calinski-Harabasz index* (also known as the Variance Ratio Criterion) is a measure of how well-separated clusters are in a clustering solution. It measures the ratio of the between-cluster variance to the within-cluster variance, and a higher Calinski-Harabasz index indicates better clustering performance.\n",
"\n",
"The Calinski-Harabasz index is defined as follows:\n",
"\n",
"$$ CH = \\frac{\\frac{B}{k - 1}}{\\frac{W}{n - k}} $$ \n",
"\n",
"where $B$ is the between-cluster variance, $W$ is the within-cluster variance, $k$ is the number of clusters, and $n$ is the total number of data points.\n",
"\n",
"The between-cluster variance $B$ is the sum of the squared distances between the cluster centroids and the global mean, weighted by the number of data points in each cluster. \n",
"\n",
"The within-cluster variance $W$ is the sum of the squared distances between each data point and its own cluster centroid.\n",
"\n",
"To compute the Calinski-Harabasz index for a clustering solution, we first calculate the between-cluster and within-cluster variances, and then use the formula above to calculate the index.\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouette score: 0.31\n",
"Calinski-Harabasz index: 25.77\n"
]
}
],
"source": [
"from sklearn.metrics import silhouette_score, calinski_harabasz_score\n",
"\n",
"# Evaluate the clustering results using the Silhouette score\n",
"silhouette_score = silhouette_score(X, labels)\n",
"print(f'Silhouette score: {silhouette_score:.2f}')\n",
"\n",
"# Evaluate the clustering results using the Calinski-Harabasz index\n",
"calinski_harabasz_score = calinski_harabasz_score(X, labels)\n",
"print(f'Calinski-Harabasz index: {calinski_harabasz_score:.2f}')\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We used the *silhouette_score* and *calinski_harabasz_score* functions from Scikit-learn to evaluate the clustering results. A higher Silhouette score indicates better clustering results, while a higher Calinski-Harabasz index indicates better separation between clusters.\n",
"\n",
"There are other metrics (like *Dunn index* or *DaviesBouldin index*) that will be presented on the lecture."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step 4: Determine the optimum number of clusters using the *elbow method* \n",
"\n",
"Plott the sum of squared distances between data points and their cluster centroids (also known as \n",
"$WCSS$ - the within-cluster sum of squares) as a function of the number of clusters, and looking for the \"elbow\" in the plot where the rate of decrease in $WCSS$ starts to level off.\n",
"\n",
"To compare the clustering performance using the elbow method, we can plot the $WCSS$ for different numbers of clusters and look for the number of clusters at which the $WCSS$ starts to level off. A smaller $WCSS$ indicates better clustering performance, but we also want to avoid overfitting the data by using too many clusters.\n",
"\n",
"We can compute the $WCSS$ using the *kmeans* function from the *scipy.cluster.vq* module and the *inertia_* attribute of the resulting KMeans object. \n",
"\n",
"As we can see from the plot probably a good value for $k$ can be $25$ or $30$ were we get $WCSS$ around $0.5$. (Is an empirical decision of the data sceintist)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.cluster.vq import kmeans, vq\n",
"\n",
"# Generate a random dataset\n",
"np.random.seed(62)\n",
"X = np.random.rand(100, 2)\n",
"\n",
"# Compute the WCSS for different numbers of clusters\n",
"wcss = []\n",
"for k in range(1, 60):\n",
" centroids, distortion = kmeans(X, k)\n",
" wcss.append(distortion)\n",
"\n",
"# Plot the WCSS vs. the number of clusters\n",
"plt.plot(range(1, 60), wcss)\n",
"plt.xlabel('Number of clusters')\n",
"plt.ylabel('WCSS')\n",
"plt.show()\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 1:\n",
"\n",
"Another basic implementation of the k-means clustering algorithm using NumPy and SciPy.\n",
"\n",
"The *cdist* function computes the pairwise distances between the centroids and the data points in the dataset $X$."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1 2 2 2 0 2 2 2 0 1 0 2 2 1 1 1 2 1 0 2 2 1 1 0 0 1 0 0 2 2 1 1 2 2 1 2 2\n",
" 0 1 0 0 0 2 2 0 2 2 0 2 1 0 2 2 0 1 2 0 2 0 2 1 1 0 1 0 2 0 2 2 1 0 0 2 2\n",
" 0 1 1 0 1 0 1 1 0 2 0 2 0 2 0 2 1 0 1 2 2 2 0 0 0 1]\n"
]
},
{
"data": {
"image/png": 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S1VdF3aK1ZvkHa3n5rrdI2Zta6lzDZvWZ+eIN9B/XJ0DRiUD4Y8Vm/j3xSdJTMrCEWdBF94m+o3pw38KZFS77r6tkozwvLX9/Df+59KlyzymlGHv9OcyoZFf+wd2HmTN5Llt+2lbqWmddfAYzX55OdFxUtWIWQviO1poXb3+Tj5760m0bZSjmfH0ffUb08GNkIlD2bErmptPvwlHgKFMB27AYdD2jI0+t+LdMYC+HbJTnBa01rz/wHm73ndOaxS9/R+r+NK+vmX4kgxln/out63aUudbKj3/m/nPn4HQ6qxN2hZL+3s/cG19mYrPruLDhNO4c8bBrT5XgzzuFCLh13/7uMREBQMPLd73tn4BEwC169FOcDme5W3GYTpNNq7ey4fs/y5wrsBeyd8s+9m0/6LZYpXCp08lI0pZ97Nt2kIru0as//dXra3723BLSUzIwHWV/8UynyV+r/uaXxRsqG6rXfl2ygRt63s7iV77j2KF0so7l8PuyTTx4waM8c+PLkpAIUYFPn/u6pJCgO1prdm7cQ9Lf+/0UlQgUrTXLFq3BWc57ejGL1WDZojUl3xfkF7Dg3neZ2ORarj1lJld1voUp7W7is+eXyHuwG3U6GcnNyq+wjWEocjPzvL7mN68vK7O9fKnrWQyWvrXc6+tVRtaxbGZf/DjOQmepP5zieL56cSnfv7PSJ88tRG2x7dedFW+IWCQ9JcPH0YhAKyxw4CjwvGWEaWpyMnOL2hdy79j/sujRT0sVVExJSuW5fy5g3ozXfBpvqKrTyUiTto09bjoH4HSYtOjczOtrZqZmejxvOk2OHUr3+nqVsfSN5RTkFbrNvJWh+Pjpr3zy3ELUFmE27xcZNmrR0IeRiGAQbgujQdN6HtsopWjW3lU88ZvXlvH78k1uE9pPn/2av3/ZXtNhhrw6nYzUbxzPoAn9sFjLfxmUUsQnxHLGud7vgptQwZuTxWrQpE3jSsXprU1rt4KH3mVtarb/tgunw7dzVoQIZYMm9ENZPA/TKKU4dXBXmrZL9FNUIpDGTx+F4WHozjRNxl47HIAvXvgG5eGN2GI1WPzy9zUeY6ir08kIwA2PTyWuYSyGtWxRLMOiuOP1myu1tHfcded4HG92OkxGXz2syvF6YliMCmdzK0NVOB7uC/u2HWDuTa9wSeI1nB8/lZln/Ytli1bLpC4RdM6/eQxWq+c6ItZwKzdIBd4646KZ42jTvVXZnvSit9IrH5pUkpge2HHI47wQp8MkeavMNTpZnU9GEls34rlf/sc5k8/CGnb8Dei0Id14/IeH6D/W+14RgHE3jKBVl+blDv8opRh80RmcNqRbteMuT58RPSqcr9Jz6CkYhn//2X/77g+u73k7i19eSvqRTHKz8ti8dhv/d9nTPDL1WUlIRFBp0bEpsz+9C1tU+ZtOturanCeXz6Zz3/Z+jkwESmRMJE8un815/xiFLcpWcrx5h6bc8dpNXPGvi0uORcVGeryWMpTUJClHna8zcqLcrDyOHjxGTP1o6jWKr/J1Mo9m8dw/X2XFB8dnYEfERDDhptFc+fAkrGG+KXybn2tnStsbyTya7TYp+e/iezl9dC+fPH95crPyuLTFDeTn5LsdQ711/vWce8MIv8UkhDcyj2bx7evL+Gv132Sn59CqSwtGTRtC59M7Bjo0EUB5Ofkc2p1CeEQYzdo3KdMb/eLtb/LxM195/GB4z9u3MOzywb4ONShI0bMgcCwlgx0bdmMNs9Clf0cioyN8/pw7NuzmzhEPk30sp6Sr0GI1cDpMrn9sKpfcNt7nMZzoixe+Ze5NL4Ob3zKloHmnZry6+WkpGCSECHkpSUe4vsft5GXnl0lILFaDZh2a8sKGxwi3Va2yd6jx9v4te9P4UP3G8Zw+qqdfn7NDr7a8sf1Zlr6xnNWf/YI9r4Aup3fg3OkjaXOK//dh2fLzNiwWw+0afa1h39YD5OfkExnjuXtTCFF1jkIHqz/9lW9e/5G0/Udp3CqBUVedzYDxfbFUMEdGeK9xq0Y8/sNDPHjBo6QkpWIJs4DWOB0mHfu056GP76gziUhlSM+I8KknrpnH0reWeywYBPBlztvYIm0e2wghqiY3K497xvwfm9dsxbAYmE4Tw6IwnZoeQ0/hP1/eQ0SU/P3VJKfTya9fbyzZn6zPqB507d+xzvUASzl4ERT6jOzhMRExDEXXAZ0kEQkGGRmwb1/55/btc50XIemZf7zE3z+7alsUDx2YTtfn0D+Wb5ZCXD5gsVg449w+TPv3pUx58BK6ndGpziUilSHJiPCpQRf0o1HLhm6Ly5mmZtId5/s5KlFGRgaMHg1DhkByculzycmu46NHS0ISglIPHGXZojVuJ1RqrVny6g9kVFCwUQhfkmRE+FRYeBhzltxPvcbxoCjZlLC40NzV/3c5gyb0C2CEAoCsLEhJgV27YOjQ4wlJcrLr+127XOezsgIZpaiCP1ds8biyA1wFEZe8+oOfIhKiLJnAKnyuddcWvPb3M3z/9gpWffoL9hw77Xu24dwbRtD21NaBDk8AtGgBy5YdTzyGDoW33oIpU1zft2vnOt+iRWDjFJWmvazj88vXG5h05wTfBiOEG5KMCL+Iio1k/D9GMf4fowIdinCnZcvSCcmgQa7jxYlIS/+vxhLV13VAJ6/aZR3N9nEkQrgnwzRCiONatnT1iJzorbckEQlhTdsmEh5ZfjXZE8UnyErFmpaXk8/hvUdKdvQV7kkyIoQ4LjnZNTRzoilTyk5qFSFl7DUV74d19qWD/BBJ3XBoTwqPXfU8Fza8iiva3siFDabx4AWPsvP3PYEOLWhJMiKEcDlxsmq7drB6teu/J09qFSFn0l0TiIqLLHdpqbIoEls34uzLzwxAZLXP/h0Huen0u/n+nRU4ChyAa9XgT1+u558D7mXTmq0BjjA4STIihHDVETkxEVm2DAYOdP33xITEXR0SEdQSmjfk8R8eomGz+gBYwiwlVVdbdWnB4z8+5JftKuqCZ296hez0nDL1lUynibPAwSNXPutxV9+6SiawCiEgNhYaN3b9/4mTVU+c1Nq4saudCEkde7fj7d3zWPvFupJKrL1H9KDXsO5SjKuGHNqTwvqlf7g9b5qagzsP88fyzfQYeoofIwt+kowIISA+HpYscdUROXn5bsuWsHy5KxGJr/pu1iLwLFYLZ17QnzMv6B/oUGql5K0HKmyjFCRt2SfJyEkkGRFCuMTHu082pL6IEBWKjKl4qEtriPCiXV0jyYios5wOJ9+8voxPn1vM3k37CLOFceYF/bj4tvF06Nk20OEJIUJM1/4dqZ8Yz7HD7rdNsIZb6T+2tx+jCg0ygVXUSU6Hk4cveYKnrn+BPX8lYzpN7Ll2li1azc397mHtF+sCHaIQIsRYrBau+Nclbs8rBRNuHk1cQ5l7dTJJRkTQyUjN5IeFq1jy6g9sW7/TJ8/x+bxvWPu5K+HQ5vGZ7U6Hiel08n+XPUV2eo5PnlsIUXuN/8dIpj18KYbFQBkKa5ilZKPQMdedw7X/uyLAEQYnGaYRAae15uihdBwFhbz/+Ocsfuk7HIXOkvMderXlrjf/SZtTaqYKqNaaT+YuRlP+8jqtoSCvkO/eWsGEf46pkecUQtQ+KUlHWPPZOvJz8mnVrQX9x/bGYrUw+f6LGH3NML5/ewUpSanEN4pj2OVn0rxD00CHHLQkGREBo7Vm8cvf8f7jn3NgxyG37Xb9sZcZg+9n/vpHado2sdrPm5edz8Fdhz22UYbyWa+MECK0FeQX8MyNL7P0jeWgwDAUTodJ/Sb1uPutW+g9/FQaNq3PxDvOD3SoIaNKwzTz5s2jbdu2RERE0KdPH1auXOmx/TvvvEOPHj2IioqiadOmXHXVVaSlpVUpYFE7aK15/pZXeXr6SxzY6T4RAVexoPzsfBY98lmNPLc1zFJhG6XAGia5uhCirEenPcfSN5ejtUabuqTAWXpKBveN/T+2rpMPMpVV6WRk0aJFzJgxg/vuu48NGzYwePBgxowZQ1JSUrntV61axdSpU7nmmmvYtGkTH3zwAb/++ivXXntttYMXoevPlVv47Pklrm+8KEbodJgsfWs5Tqez4sYVCI8I57Qh3UrGcd09X7+xvar9XEKI2mX3n3tZ/v7aUnPNimlTY5qat//9QQAiC22VTkaefPJJrrnmGq699lq6du3K008/TcuWLZk/f3657X/66SfatGnDLbfcQtu2bTnzzDO54YYbWLdOVivUZV+88A0Wa+V+/QryCrDnFtTI81961wRMp1nuOYvVoFmHJgwY37dGnkuIytr+2y5evuttnr7hRd5/7DOOHU4PdEiiyI/vrfb43mU6TX7+6jdys/L8GFXoq9TdoKCggPXr1zNy5MhSx0eOHMmaNWvKfczAgQPZt28fixcvRmvN4cOH+fDDDxk3blzVoxYhb/cfSWX2bqhIZGwEEdG2Gnn+00f34qa5V6MMVdJDogxXSeyEFg3535L7S/buEMJf8nPtPHD+I9zY9y4+euoLlrz+I6/c8w6XtbyBT+YuDnR4Asg6ml1h+XxtanIzc/0UUe1QqUHx1NRUnE4niYmlJxEmJiZy6FD54/4DBw7knXfeYdKkSeTn5+NwODjvvPN49tln3T6P3W7HbreXfJ+ZmVmZMEUIiIqLqlR7w2Iw5urhGEbNrUafcPMY+o/rzeKXvmPXn3uxRdkYeN7pnHXJAMJtYTX2PEJ46/Grnufnxb8BlErWnaZm3ozXqJ8Yz9BJgwIVngCatkt026tazBYZTlxCnJ8iqh2q9M5+claotXabKW7evJlbbrmFBx54gPXr17NkyRJ2797N9OnT3V5/zpw5xMfHl3y1bFkzSzpF8Bg6caDXm3NZrAb1GsUx8c6an5netG0i18yZzP99eS8PvH8b51xxliQiIiD2bTvA8g/Wur3RKaV46+EPZMfXABsxdUhJL2p5DKvByCuHyvtIJVUqGUlISMBisZTpBUlJSSnTW1Jszpw5DBo0iDvuuIPTTjuNUaNGMW/ePF599VUOHjxY7mPuueceMjIySr6Sk5MrE6YIASOnDaV+YrzHSaQAKOg1/DTmrv0vDZvW909wQgTAms9+9fj3oLUmact+9ntYBi98r35iPa6ZU37hMovVoEFiPa544GI/RxX6KjVMEx4eTp8+fVi6dCkXXHBByfGlS5dy/vnlf2rNzc3Fai39NBaLayzeXYZvs9mw2WpmboAITjH1onn8x4e4b9wcDu46jKVoua2z0EmDpvW54l8XkdC8IW26t6yR2iJCBLv8HLvrE3cFC8byc/L9E5Bw65LbxlOvcRxvzf6gpGaRxWow+OIzuOGxqTRoIh+cKqvShRRmzZrFlClT6Nu3LwMGDOCll14iKSmpZNjlnnvuYf/+/bz55psAjB8/nuuuu4758+czatQoDh48yIwZM+jXrx/NmjWr2Z9GhJSWnZvz2tZn+GXxBjb+8Bdaa7qf2YWB558uNT5EndO6WwuchZ4zEWu4laZtG/spIuHJiClDOOeKs9izKZm87Hyad2hCfBXmiTgdTtZ9s5HkrQeIio1kwHl9qZ9Yr+YDDnKVfsefNGkSaWlpPPzwwxw8eJDu3buzePFiWrduDcDBgwdL1RyZNm0aWVlZPPfcc9x2223Uq1ePYcOG8cgjj9TcTyFClsViYcD4vrKMVtR5A84/nbiGsWQdyy63hoVhNRg+eTDR8dEBiE6URylF2+6tqvz43777g0eufI6jB49hWAxM0+SZm17mvH+MYvoTV9apFX1Kh8BsqMzMTOLj48nIyCAuTmYoCyFqp1+/2ci/xv8PrXWpiayGxaBxqwTmrv0v9RvHBzBCUVO2/LydmYP/hWmaZZJPpRRjrhvOzBduCFB0Ncfb+7fs2iuEEEHi9FE9eXrVv+k3plfJio3ImAjOv2k0z/08RxKRWuSNB94rKSd/suJ9uyraKqM2kYF5IYQIIl36deTfn99NXnYeedn5xDWMlTlUtUxmWhbrl/7hsY1hGPz43mom33eRn6IKLPkNF0KIIBQZE0lkTGSgwxA+kHUsu8I2hqHISsvyQzTBQYZphBAhz+lwSjEwETLqJ9arcPdwp9MksU3dWTklyYgQIiRlHcvm9Qfe45Im1zI6/FLOi5vC3Btf5uDuw4EOTQiPomIjGXrpII8b7lksrtVTdYUkI0KIkHMsJYOb+9/DwjmfkJ6SAbiKhi1+5Tv+0ftOdmzcHeAIhfBs2sOXElMvxm3V3esenUJcw1g/RxU4kowIIULO/Jmvc2hPSpl9XJwOk7zsfP7vsqdl2EYEtcTWjXj2p//Sb2yvUvt0JbZpxJ1v3MyFt9atne1lAqsIaqZpsuH7P0nasp/ImAj6n9tHljfWcelHMljxwRpMR/kbyplOk31bD/Dnyi2cdlY3P0cnhPeatkvk35/dTeqBoxzYcYio2Eja9Whdo7uThwpJRkTQ+nPlFv43ZS4pSakoQ6FNjcVqMP4fo7jh8amy3LGO2rt5H043iUgxZSh2bNgtyYgICQnNGpDQrEGgwwgoeTcXQWnHht3cNfJhHEV7dRQXBnI6TD57bgn5uXZue/kfgQxRBEiYN1uza+1dOyFEUKh7fUEiJLzx0CKcjrJlksFVnXDJgh/Yt/1gACITgdapTzviEyqa2KfoN6aXX+IRIlRpxz60fSW6YD1aOwIaiyQjIujkZOTw81e/lZmceCLDavDju6v8GJUIFtYwK5PunOD2vGEYDL10IImtG/kvKCFCiHbsxTx6NTp1GPrYNeijl6GPnIXOeTtgE78lGRFBJzs9t9wekRMZSpGRmumniESwufi28Vxwy1gALFYLSlGyw2mv4d2Z+dJ0j4/PTMvi4K7D5OfafR6rEMFEO/ej0yZCwdrSJ8xUdNbDkDMvIHHJnBERdOIbxWENt+IocN9taDpN+eRbhymluPHpqxh73TksWfA9h5NSiWsQw7DJgzntrG6llkqe6M+VW3jzoffZ+ONfAIRHhDFi6lCmPnQJDZrU9+ePIERA6KxnQWcCzvLPZz8LkRejLIl+jUvpEFiM7+0WxKL2ePzq51n69gq3yzctVoN3k16QG4jw2prPf2X2RY8DlBoCNKwGDZvW59mf5tCwqfw+idpL6zz04b5AoYdWBipmFirm+hp5Tm/v3zJMI4LS1IcmEls/xm255Gn/vkwSEeG1gvwCHrvqebRplpmLZDpM0g4eY8E97wQoOiH8xDyG50QEwECbB/wRzUnPKkQQatzKVZ2w76iecEKPe0LzBsx88QYuvWtCoEITIWjVJ7+QfSwHd/3ApsPkx4WryE7P8W9gQviTiqPi275GGQ39EU0pMmdEBK2mbRP5zxf3cGRfGvu2HSAyJoKOfdphsXje7VKIkyX/vR9LmAVnYfnj5ACOQieH9x4hpl60HyMTwn+UEYO2DQf7D7ibMwJOiDjPn2EBkoyIENCoRUMatfB/pi5qj8iYCLSHpeLFomIj/RCNEN7RBb+jc98A+0rAhLA+qOgrUbZBVb6mivkn2r4C0K5rlj4LkZegrK2rEXXVyDCNEKLWO/PC/pgelosrpWh7aiuatG3sx6iEcE/nfog+OhHyvwadAToLClaij13lWvFSRSqsC6rBm2BpcdIZK0RNQ8U9VK24q0p6RoQQtV6z9k0YPnkwPy5cVW5SorXmytmT3C4JFsKftGMPOvN+XL0XJw6nFG2Pkf0shPVF2QZU6foqvBckLIWCX8C5E1QU2IagjMAtCpBkRAhRJ8x6eTpOh5Nli9ZgsRoopXA6TKzhFm6eew2DJvQLdIhCAKBzF1Jq5n4ZFnTuW1VORsDVG4itP9C/yteoSVJnRAhRp+zdnMzy99eSk5FLsw5NGHb5mcTWjwl0WEKUMFMvAsefnhup+hiJP/snoGrw9v4tPSNCiDqldbeWTH2oZaDDEMI95cWKQW/ahBCZwCqEEEIEEWUbiufbswXCh/gpGv+QZEQIIYQIJpGXADbczxvRqOipfgzI92SYRoggsP23XXz01Jes/XwdjkIHHXu344JbxnLWJQNkhYcQdYyyNIL6L6HTrwdt53g9EANQqPjHUGFdAxhhzZMJrEIE2PIP1vLfy59GKXAWbQxoWAxMp8noa4Yx66XpkpAIUQdpZxrkfYAuWAXaCeF9UVGXoizNAx2a17y9f0syIkQAHTuczuWtpuNwOF0lBcpx91u3MHzyYP8GJoQQNUB27RUiBCx+5XucTtNtIqIMxcfPfOXfoIQQws8kGREigLat24n2UKZcm5odv+0iBDowhRCiymQCqxABZLEaKEN5TEgMq0XmjAif01qz7tvfWfzSUvZtP0hcw1iGTz6LYZefSUSULdDhiVpOkhFRJdvSUnnzj42sStqD1jCgRUuu7NGLro1ko7HK6DuqFys/cl9F0bAanD66p/8CEnWS0+FkzhVzWf7+GgyrgekwUUrxx/LNvP/YZzz+40MkNGsQ6DBFLSbDNKLSPv17M2PffZNFf/1BUkYGyZkZfLRlE+cufItFmyooYSxKGXb5mdRrHI9hKf9P0XSaXHLbeX6OStQ1C+d8wooP1gBgFq3oKh4aPLT7MP++5ImAxSbqBklGRKXsPJrG7UuXYGqN84R5DE6t0cC933/LliMpgQswxERE2Xjk238R2yAGFBSPxhgWA8NQzHxxOqcOrl31BERwKSwo5ONnvsLdtCSnw2Tz2m1sW7/Tr3FpXYB2JKGdh2TOVB0gwzSiUt76Y6PHvSQNpXjj9w3875xRfosp1LU7rTVv7niO799Zyc9fracgv5DOfdsz9vpzaNo2MdDhiVpu76Z9ZB3N9tjGsBhs+P4vOvVp7/N4tJmLznkect8DneU6aO0E0TeiIsf6/PlFYEgyIiplzb7kUj0iJ3NqzerkJD9GVDtExUYyfvpIxk8fGehQRB1jmmbFjQDtZbvq0DoPfXQKODZxvOoo4NiOzpgB5gFU9LU+j0P4nyQjolK8WdMhCz+CR36unWXvrWbVJz+Tl51P+x5tGHfDCFp3bRHo0ESQaN2tBZGxEeRl5bttYzpNup/ZxffB5LxZNhEBigvx6KzHwDYaZZXf39pG5oyIShnUqjUWD9mGRSkGt2rjv4CEW/t3HOTqrrfyxLXz+eXrDfyxfDOfz1vCtafM5L1HPg10eCJI2CJtjL9hJMoo/+/asBq0PbUVpwzyfTKic9+hbCJSKhp03oc+j0P4nyQjolKuOLWHx/MamHJaT7/EItxzOpzcM/r/SDtwDKCkjknx3jcL7nmH1Z/+ErD4RHC58uFJ9Bh6CkCppEQZinqN4nnwo9t9XutG6wIwD1XQygTnbp/GIQJDhmlEhfIdhaTl5REXbqNd/QY8PWocM75xlSgvnj9iUQoNPHrOKLokNPLqunvT0/n4700cys6mYWQUE7p0pVPDBF/9GHXK2i/WcXDXYbfnDUOx6LHPGDShnx+jEsEqPCKcOV/fx48LV/PVS0s5sPMQMfVjGDFlCOOuP4e4hrF+iMIKhAGFHtoYoKL9EIvwN9koT7h1MCuLZ35ew6dbt1DgdKKAYW3bMaP/QCLDwnj7j42sStqLxlX0bGqPXnRo0LDC62qteWT1Cl7+bR2GUihcPSpOrbm46yn8d/hIrIZ02lXH09NfYsmrP+B0OD22+zzzTSJjIv0UlRCemem3Qf5iwP3vrar/Csp2lv+CEtXi7f1bekZEufZlZnDBondJz88r6f3QwLI9u1mZtJc3J1zMA0OGVenaL/32Ky/9tg6gzMqcj7ZsIs5m4/6zzq5W/HVdRUnI8Xa+XyEhhLdU9HXo/CW45o2c/DnZAtZuEH5mACITviYfP0W5Hl7+Y6lEpJhTaxxOJzO/WYyzCkv97A4H89e5n6ugcdUySc/Pq/S1xXFd+nXA6fSQkCho0rYx0fFR/gtKiAqosC6o+i+BKv4EbQUsrv8N64Vq8DJKyW2rNpJ/VVHGoewsvt+90209ERM4mJ1VpXoi6w8eINNu99im0DRZsXdPpa8tjht2+ZlExkS6nXSoUFx46zjZgE8EHWUbhGq8ChX/GERNhejrUQ0+QDV4B2XI/ji1lSQjoow96ellOkhPZijFjqNplb52nsPT5LQT2zkqfW1xXGRMJA9+eBvWcAsW6/E/8+KVEoMuOJ3zbpIquSI4KWVDRZ6PEXc3RuxMVHgPSZxrOZkzIsqICgursI2pNdFetDtZRy8muAJ08rKdcK/PiB7M/+0xPnlmMSs+XEtBXgFturfk/JvGMGzymVgslkCHKIQQgCQjohynNGpMk5gYDmW736/CohTD2lV+n4pW8fU4s2Ur1ropK29Rinb1G9CzSdNKX1uU1bprC2a8cD0zXrg+0KEIIYRbMkwjyrAYBrf2H+j2vAIuP7UHjaKqtt7/P8NGUC8iokwlV4tSRFjDeGrUWOmSFUKIOkSSEVGuSaecyp0DB2NRCkMprIZRkjxc2PUU7h88tMrXbhVfj88vncKl3U8jwurqnAszDM7v3JXPLp1Mt0aNa+JHEEIIESKk6Jnw6EhODp9u3cy+zEzqR0RyXucutKtfczPaC51OMu12YsLDsVll1FAIIWoTKXomakSj6Giu6326z64fZrHQMEpqXQghRF0myYgQQggRorQzzbXBoIpHWVsEOpwqk2RECCGECDHasRud9RjYf8BVihK09TRU7CyUzf0ChGAlE1iFEEKIEKIdu9BpF4P9R4oTEQAcf6GPXY3OXxqw2KpKkhEhhBAihOjM/4LOpezuxq4NBnXGfWhdEIDIqk6SESGEECJEaOchKFhJ2USkpAXo9KJek9BRpWRk3rx5tG3bloiICPr06cPKlSs9trfb7dx33320bt0am81G+/btefXVV6sUsBBCCFFnOfdBhbuHWcCZ7I9oakylJ7AuWrSIGTNmMG/ePAYNGsSLL77ImDFj2Lx5M61atSr3MRMnTuTw4cMsWLCADh06kJKSgkM2QhOi1tv+2y6+euk79m7ZR3RcFEMuGcCQiQMIjwgPdGhChCYV70UjE1Ssz0OpSZUueta/f3969+7N/PnzS4517dqVCRMmMGfOnDLtlyxZwqWXXsquXbto0KBqxbKk6FnFtNasStrLe5v+YHf6MepHRHJ+566c17kLEdbKb2gnRHVorXnlrrd5//HPsVgNnA4TZSi0qWnWoQmP//AQjVrIZohCVJbWGp06Gpx7cN9DYkU1XoUyaq5AZVV5e/+u1DBNQUEB69evZ+TIkaWOjxw5kjVr1pT7mM8//5y+ffvy6KOP0rx5czp16sTtt99OXl6e2+ex2+1kZmaW+hLuOUyTW5d8xZWffcS3O3fwd2oqP+3bx93ff8v4hW9zJCfHq+torTmUncXe9HTsPui5cpomK5P28PYfG/l86xay7PYafw4RHJa8+gPvP/45AE5H0bJD0/XGeXhPCv8673+EQPFnIYKOUgoVOwuPQzXR04IiEamMSg3TpKam4nQ6SUxMLHU8MTGRQ4cOlfuYXbt2sWrVKiIiIvjkk09ITU3lxhtv5OjRo27njcyZM4fZs2dXJrQ6bd6vP/PV9q0AJTvh6qJf1D3px7jp6y94/+JLPV7jq21bee7Xn9ialgpATHg4l3U/jVv6DSA6vPpd6quS9nL3999wICur5JjNYmV639P5Z78BGLIxXq2htea9Rz517ahYzvul02Gyc+Me/lixmR5DTvF3eEKEPBUxCuL+h86aDToP163cCSiImoaKuS3AEVZelSawnryjqtba7S6rpmmilOKdd96hX79+jB07lieffJLXX3/dbe/IPffcQ0ZGRslXcnJoTcTxJ7vDwWsb17vNkZ1as+7Afv5KOez2Gq/8to5/LvmSbUWJCEB2QQELNqznso8XkVtYWK0Y1x/cz9Wff8zBrOzSsTsdPPPzWp5cu7pa1xfB5UhyKgd2HPL4wc1itbDum9/9F5QQtYyKuhDVaC0q/n8QPR0Vex+q0QqMuLtRyhLo8CqtUslIQkICFoulTC9ISkpKmd6SYk2bNqV58+bExx+fdNO1a1e01uzbt6/cx9hsNuLi4kp9ifJtP5pGRgXDHYZSrN2XVO65/VmZzFm1HCh77zC1ZvORI7y2cX21Ynxs9SpMrUt6a0724vpfOJLr3VCSCH7FwzIeKXAWyiR2IapDGVGoyAsxYm9BRU9FWUJ3x/NKJSPh4eH06dOHpUtLV3dbunQpAweWX3520KBBHDhwgOzs45+Kt23bhmEYtGgRunX0g4Xpxbi78tDu/U1/uu3VKr7+W39srGJ0cDAri18O7PMYp6k1X2/fVuXnEMGlUcuGxCd4nsnvLHTS9YxOfopICBHsKj1MM2vWLF555RVeffVVtmzZwsyZM0lKSmL69OmAa4hl6tSpJe0vv/xyGjZsyFVXXcXmzZtZsWIFd9xxB1dffTWRkZE195PUUR0bNCQqzPNqGafW9G7arNxzu48dq/A5UnJyqjyh9Vi++4nKxSyGQVpebpWuL4KPNczK+TePQRnlJ7mGxaBBk3oMOK+vnyMTQgSrSicjkyZN4umnn+bhhx+mZ8+erFixgsWLF9O6dWsADh48SFLS8SGBmJgYli5dSnp6On379mXy5MmMHz+euXPn1txPUYdFhoVxeffT3E4AtShFl4QE+jZtXu756PBwKpo6ajUMwixVG4NsHB1T4fWdpknTmNBaEy88u/TuCfQefipAqaTEsBjYIsOZ/emdWMNkn04hhEul64wEgtQZ8SzfUcjVn33CT/uTMZQqGRIxlCIhMor3Lp5Em3r1y33syr17uPKzj9xe26IUYzp0Yu6Yc6sc37Wff8LyvbtLVvqczGax8PO1/yDOZqvyc4jg4yh08O0by/li/jfs23aAiOgIhl12JhNuGUPTtuXPMRNC1C7e3r8lGaklCp1OPtu6hXf/+oO96enUi4jgwq7duKz7aTSIjHL7OFNrLnr/Xf5KOVwmWVAorIbik0mT6dao6hOjtqelccH772B3OMpNSB4aMoypPXpV+fpCCCGCkyQjwmvH8vL4x+LP+WX/PixKYShFoWkSb4tg7phxDG7VptrP8XfqER748XvWHdxfcqxJTAy3DTiTi7pKrQkhhKiNJBkRlfb74UN8v2sndqeDrgmNGdOhIzZrzY7r704/RlJ6OrE2Gz0Sm2AxZOPo8mxNS2Xhn7+z+cgRosLCGNWhI+d16lIjBeiEEMJfJBkRIkQ9/+vPPLF2FRalcGpdUsi0SXQMb194Ce3qh1aZZyFE3eWTvWmEEL61ZMd2nli7CjixtL/LkdwcrvrsYxymF0XFhBAihEgyIkQQeXH9L26XaTu1Jjkzg+937/RzVEII4VuSjAgRJLILCvj98CGP1WqthsGKvXv8F5QQQviBJCNCBAlTVzz8orWrSJwQQtQmUgJRiCARG26jVXw8yRkZHnZhNunZpKlf4xLCW9qxA537Hji2gYpGRYyEiLEoJQUNhWfSMyJEkFBKcXXPPu7Po4gJD+e8zl39GJUQ3tHZ89GpYyH3HSj4Cew/ojPuQqeORTv3V3wBUadJMiJEEJl8ag/GdHDtZnviRFaLUoRbDF4Yd36FGyMK4W86bzE6+6mi75xF/y0aTnQeQB+9Fu3FMKSou2SYRoggYjEM5o45l3O2/s1bf2xgW1oqEVYrYzp0YlrP3lJjRAQlnfMilFTEOZkTnDuhYBXYzvJzZCJUSDIiRJAxlGJCl65M6CLDMSL4afMYOLZU0MqKtq9ESTIi3JBkRIgim4+k8MHmv9ifmUmDyEgmdOlG/+YtUG7qfgghAO2suA0AhT4NQ4Q2SUZEnWdqzQM/fse7f/1RUoLdohTvb/6Lwa1aM1/maQjhntEAjEQwD3to5EBZTwNAF/6JznkXHH+BikDZRkDUxShDhiDrMpnAKuq8+et+4d2//gCOl2Av/u/q5CTu+2FpwGITItgpZaCipuCaM1IeA1QcRI5FZz+HTrsI8j8Fx1Yo/B2d/QT6yEh04SY/Ri2CjSQjok6zOxy8/Nuvbs+bWvP51i0czMryY1RChJjoqyB8SNE3JyYlFiAMVe85sK9EZ88tOn7i0I4GnY0+dg1a5/slXBF8JBkRIavA6eT7XTt5+4+NfL1jG/kOz2PSTtPkaF5uqXa/Hz5Ept3u8XEaWLF3d02ELEStpFQYqv48VNz/gbULEF7UGzIRlfAZynYGOmcB7m85JphHIe8rP0YtgonMGREh6YttfzN72Q8czc8rORYTHs4dAwcz5bSepdpm2vOZv+4XFv71B5l2OwoY1rYdN51+BoVmxZPvFGB3ejtJT4i6SSkrRF2CirqkzDmtC6HwtwquYEEXrEVFXeSbAEVQk2REhJwlO7Zz65Kyn6CyCwp4cNn3GEox+dQeAGTk53PJBwvZnX6sZB6IBpbt2c3yvXt4dMQoDKU8bk6nge6NE33xowhRR7j/+yrdxpt2oU2bxyDvY3TBBlAWVPggiDgXZUQFOrSAkmEaEVJMrfnvqmVup8oBPLp6JXaHA4CnflpdKhEp5tQap2ny0LIfGNmuAxY3y3ctStGpYQK9ZD8YIapMqXCwdsX9JFcAExXe218hBYTO/xGdchY661GwL4X8b9CZ96OPnI0u3Bzo8AJKkhERUn4/dJB9mZkePz9lFdhZvnc3eYWFfLD5rzKJSDENZNrtDGjRihZx8aXKr4MrEYkJtzF39DipNSJENanoq3Hf82GAioGI8/0Zkl9pxw50+k1AAcd7gYpK5OsM9NFpaDMjcAEGmCQjIqQczcuruFFRuwNZmeQV9ZC4E2YYHMzO4tNJk7n59DNoFOXqKo0NtzGlRy++vHwKnRomVDtuIeq8iPMg8oqibywnnLAA4ah681FGTAAC8w+d8wbuh6JM0BmQ94mfowoeMmdEhJSmsbHetYuJJcKLQmWm1kSGWYmPiGDGGQOZccZATK3L9JIIIapHKQVx/4KIs9A574BjE2CDiFGoqMkoa8tAh+hb9u8ovaT5ZBpt/x4VPc1PAQUXSUZESOma0IjODRPYnpZKeXuAKiAhKppBrVpjUYouCY3YmpqKdtM97NSaEe06lDomiYgQvqGUAttQlG1ooEPxGW2mQ+576LxPXMuVLU1RUZPA9FxCwPVgL9rUUjJMI0KKUorZQ4djGEaZpKH4u4fPHo7VMFBKcUu/AW4TEYtSnN2mLV0SGvk4aiFEXaCdB9Cp56OznwbnbtfQi2MrOnM2KI3nW64Fwk7zU6TBR5IRL9kdDj7asokrP/2QCe+9zaxvFvPL/n1oD0tChW/0a96Cty+4hM4nzeVoU68+L42fwKj2HUuOje7QkYeGDMOiFIZSWJWBVbl+7fu3aMnTo8b5NXYhRO2l02eBmQKl+m2L7hE676TjJzNRUZf6Lrggp3QI3E0zMzOJj48nIyODuLg4vz//4exsLv/4fXanHyupSVG8odqkU07l/4aNkK79APk79QiHsrNpGBVF90aN3a56OZKbw0ebN7E7/Rgx4eGc27EzPZs0lVUyQogaoQu3oNMqWg2kcCUnBscTEwvgRMXeh4q+0pchBoS392+ZM1IBrTXTv/qMpIx0gJLiWMXLRRdt+pP29Rtwbe++gQqxTuuS0MirYZZGUdFM79vPDxEJIeqkwo1eNNIQfQPY14LjT8CA8DNQ0deibIN8HGBwk2SkAr8fPsTvhw95bPPKb+uY1rM3VkNGvYQQwp+0NqFgNTr3AzAPgJGAirwAbMNdJer9xrv3fxU+CBV7mytulPTOFpFkpAKrkvaWDMm4k5Kbw570Y3Ro0NCPkQkhRN2mdQE6/Raw/0DxcAcYaPsPENYT6i9AGd6VA6i28AEVt1GREHaq63+VfHg9kbwaFXAWZa8VcZieJiYJIYSoaTrrCbD/WPRdcQ2Povfiwj/QGff6LRZlbQW2YZQu6FaqBURNRhnRfosplEgyUoHeTZoVJSTuxYbbaFuvvp8iEkIIoc1syF2I+xLzJti/RTv3+y0mFf8IWLsUfVd8ey1KTmxno2Jm+C2WUCPDNCfJdxSyNS0NtKZzQgKDWrWmVXw99mdmlDtUYyjFFaf1wGaVl1IIIfym8Hcgv4JGGuw/Q9SF/ogIZcRDw0WQv7So6FkqWFqgoiZC+JkyNOOB3EGLFDidPPPzGt76YyPZBQUAxISHc8WpPXluzLlM/fRDMu32ktU0BgoTzRnNW3BLPy/GCoUQQtQgT6XVT+R5f6qaplQ4RI5DRUoNo8qQZARwmib/+Oozlu3ZXarDL7uggBfX/8KW1BS+umwKC//6k0/+3kyW3U7revWYfGoPLujSjTCLuzFCIYQQPmE9heOTVj0I6+mHYER1STICfLtrBz/u2V3uOQ0s37uHDYcOMWvAIGYNqNtrwYUQIhgoS0N0xFjIX0z5CYkFwnqhwjr5OzRRBTKABSz86w+PFVQNpVj41+9+jEgIIURFVNwDYO2Aa8Xjie/hBhiJqHpPBCgyUVnSMwLsTU8vmQtSHlNr9qSn+y8gIYQQFVJGPDRYBHkfonPfA/MQGA1QkRdB1GUoo16gQxRekmQEqB8Zyb7MDLcLxFRRGyGEEMFFGVEQPRUVPTXQoYhqkGEa4IIuXStsc2GXbn6IRAghhKh7JBkBLuranRZx8VjKmTdiUYrmsXFc1PWUAEQmhBBC1H6SjOCqJ/LeRZM4NbEJ4JqwWjyhtXvjRN67eBKxNlsgQxRCCCFqLZkzUqRpbCwfT7ycPw4f4pf9+wA4vXkLehQlKEIIIYTwDUlGTnJaYhNOkwRECCGE8BsZphFCCCFEQEkyIoQQQoiAkmRECCGEEAElyYgQQgghAkqSESGEEEIElCQjQgghhAgoSUaEEEIIEVBSZ0QIIQQA2swFnQVGfZQKD3Q4NUprEwp+AeceUNFgG4Iy4gIdligiyYgQQtRxunALOvt5sH8HmEAEOvICVMyNKEtioMOrNl3wKzrjLnDuO+FoODr6GlTMrSglgwSBJv8CQghRh+mCdei0S8D+Pa5EBCAf8t5Hp12Idh4IZHjVpgv/RB+dBmV+jgLImY/O+l8gwhInkWRECCHqKK2d6PTbAAfgPOmsE8yj6Mz/BCCymqOznsb1s5nlN8h9A+086MeI/E9rJzr/B8zM/8PMfBid9yVaFwQ6rFJkmEYIIeqqgjVgeroRO8H+A9qZgrI09ltYNUWbR6FgFaA9tFKQ/xVEX+uvsPxKO3ajj10HziSKb/matyGrIdR7ARXeI7ABFqlSz8i8efNo27YtERER9OnTh5UrV3r1uNWrV2O1WunZs2dVnlYIIURNcuyg4tuA6Zr0GYrMdDwnIgAG2pnmh2D8T5vZ6KNTwLm/6Iij6Aswj6GPTQuaXqFKJyOLFi1ixowZ3HfffWzYsIHBgwczZswYkpKSPD4uIyODqVOnMnz48CoHK4QQogapSCq+WRe3C0FGAhXf5pwoS1N/RON/eZ+AeYSyQ3AAJuh8dO7b/o6qXJVORp588kmuueYarr32Wrp27crTTz9Ny5YtmT9/vsfH3XDDDVx++eUMGDCgysEKIYSoQbazAeW5jdEErN38Ek5NU0Yc2EYBFg+tLBB5rr9C8iudv6SCFk7IW+yXWCpSqWSkoKCA9evXM3LkyFLHR44cyZo1a9w+7rXXXmPnzp08+OCDXj2P3W4nMzOz1JcQQoiapSyJEHkJnhISFXMTSnm6mQc3FTsTVBTuEhIVOwtlNPBvUP6is6mw50vn+iWUilRqAmtqaipOp5PExNLrzhMTEzl06FC5j9m+fTt33303K1euxGr17unmzJnD7NmzKxOaEKIW2ZaWynt//cGW1CNEh4UzukNHzu3UmQhrWKBDq3VU3L/QOg/yP8d1w1YUrzxRMbdC5MRAhldtytoGGi5CZ8yGwp+PnzASXDVGoiYFLDafs3YGxzbKH6YBMMDa0Z8RuVWl1TRKlc6itdZljgE4nU4uv/xyZs+eTadOnby+/j333MOsWbNKvs/MzKRly5ZVCVXUBRkZkJUFLVqUPbdvH8TGQny8/+MSVfL8rz/xxNrVWJTCqTUKxQ97dvHMz2t598KJtJR/yxqlVDiq3uPowhvQ+V+CeQxlaQ6RE2pFwTMAZe2AavgW2rG3qAJrDIT1QKnavaBURV2Gzv/UQwsTFT3ZX+F4VKl/iYSEBCwWS5lekJSUlDK9JQBZWVmsW7eODRs2cPPNNwNgmiZaa6xWK99++y3Dhg0r8zibzYbNZqtMaKKuysiA0aMhJQWWLYMTk9bkZBg6FBo3hiVLJCEJAYu3b+WJtasBcGpX97Iu6mY+lJ3FtM8+4tsrpmExpERSTVNhHVFhMwMdhk8pa2uwtg50GH6jwnuho66G3Fdx9XidNGRjG1s0pybwKvUXHR4eTp8+fVi6dGmp40uXLmXgwIFl2sfFxfHnn3+ycePGkq/p06fTuXNnNm7cSP/+/asXvRBZWa5EZNcuV+KRnOw6XpyI7NrlOp+VFcgohZdeWPcLRjm9rOBKTnanH2P53j3+DUqIEKZi70LF/Q8s7Y4fNJqhYu9F1XsiaErhV7qPatasWUyZMoW+ffsyYMAAXnrpJZKSkpg+fTrgGmLZv38/b775JoZh0L1791KPb9y4MREREWWOC1ElLVq4ekSKE4+hQ+Gtt2DKFNf37dq5zpc3hCOCSkZ+Pn8dSfHYxmoYrEzaw7C27Ty2E0K4KKUg6kKIvADMo4AJRsOgSUKKVToZmTRpEmlpaTz88MMcPHiQ7t27s3jxYlq3dnV9HTx4sMKaI0LUqJYtSyckgwa5jhcnIjLfKCQ4TDfluk9S6GU7IcRxSimwNAx0GG4prbUXFW8CKzMzk/j4eDIyMoiLky2fhRtr1hxPRABWr4Zyhg9FcDK15qzXXuZAtuchtUfOGcUl3aRnVYhQ4O39O7j6aYSoquRk19DMiaZMOT6HRAQ9Qymm9ezttuKFoRRxNhvnduzs17iEEL4nyYgIfSdOVm3XztUj0q5d2UmtIuhN69mbYW3bA2CckJZYlCLMMJg/9jwiw6TWiBC1jSQjIrTt21c6EVm2zDU0s2xZ6YRk377Axim8YjUM5o87j0fPGUW3xo2JsFqpFxHBpd1P46vLpzKgZatAhyiE8IHaXfFF1H6xsa46IlB6suqJk1obN3a1EyHBahhc3K07F8u8EAC08yA69y3I+8JVutvSBhU1GSLPq/VFu0TFtJkJ9h/BzABrKwg/MyR/L2QCqwh9UoFV1FK68C/00amg8zhe0tsATAg/C1V/HkqFBzBCESham+jsZyHnZaCAkqJmRiNU/H9RtiEBjtBFJrCKuiM+3n0dkRYtJBERIUlrB/rYP4o2Mjtxb5Gipc0FK4tuRKIu0tlPQc7zuBIRKKmuaqaij92ALvglUKFVSej15QgRQrTW/HH4EIt3bCPLbqdt/fpc2OUUGkZFBTo0EezsP4B52EMD7Rq+ib4epWRSb12inamQ84q7s4BCZz2BarjIn2FViyQjQvhIdkEBNy/+ghVJe7AoA6XAaWoeW7OKB4cMY/KpPQIdoghiuvB3XG/RDveNzKPgPOiaKyDqjvwllPSQlcuEwg1o537XpochQIZphPCRmd98xarkvQA4tYnDNNFoHKbJv378jm93bg9whCK4efn2rCy+DUMEH30M8OLf3Tzm81BqiiQjQvjA36lH+H73Lkw388MVirm/rPVzVCKUqPBBeOwVQYGlJRhN/RWSCBZGMzz/bgAoMJr4I5oaIcM0QvjA0l07sCiF000yotFsPnKEbWlHWJOczE/7kjG15vTmzbm4a3fqR0b6OWIRdML7g7UzOHZQegJrMY2KvjboNjwTfhAxCjJnA/luGljAdhbKkuDPqKpFkhEhfCC3sBDDQzJS7ML3F5JXWFjy/fe7d/LUT2t4cdz5DG7dxsdRimCmlIL6L7qW9jqTKFm6iQVwQtRUiLw0sEGKgFBGDMTdi858oJyzFlARqNg7/B5XdUhKLYQPdGqQ4NXusnmFhWgo9WV3OLj+y0/Zm57u2yBF0FOWZqiEL1BxcyD8TAjrARHnoxq8jxF3vythEXWSiroUFf8knDxBNbwvqsEilLVDYAKrIil6JoQP5DsK6f/KC2QXFFDeH1jxZ1x3LEWbxt03eKhvAhRC1Apam+DYBGYmWFqigmxllRQ9EyKAIqxhPDlqLIZSWE769GpRijCL55nwTq35ducOn8XnME0+3PwXExa9Q48XnmXgghf536rlHMjK9NlzCiFqnlIGKuxUlG1Q0CUilSHJiBA+MrxtexZdfCmDW7Up2X82Njycq3v1oXlsxT18hWZ5kxarr8Dp5NrPP+HO777hz8OHySoo4FBONgs2rGfMO2/wV4qnQltCCFHzZAKrED7Uu2kzXj3/QnIKCsh1FFLPFkGYxUJ6fh5JGeluJ7halKJnom+WbM5f9zMrk1z1T/QJg0VOrckpLOT6Lz9lxbTrsBryWUUI4R/ybiOEH0SHh9MoKrpkeOaK03p5XGnj1JqpPXrVeByFTidv/r6xVBJyIlNrDmVn8+PuXTX+3EII4Y4kI0IEwKmNE7lz4GCAUnNKiv//ptP7c0aLljX+vPuzMjmWn+exjdUw+O3QgRp/biGEcEeGaYQIkOl9+9GtUWMWbFjH2n3JaK3p26w5V/fsw4j2vlmWZ/GmQJZGhmiEEH4lyYgQAXRW6zac1boNxSvsfV03onlcHC1i49iflel2abFDm5zZsrVP4xBCiBPJxx8hgoBSyi8FrAyluL7P6W4TEYtSdEtoRL/mLXweixBCFJNkRIg6ZvKpPZhWNDm2eI6KKlp83DwunpfGT5DKnkIIv5JhGiHqGKUUDwwZxnmdu/Lun7+z4+hR4mw2xnXqzPhOnYmwhgU6RCFEHSPJiBAhYH9mJl9u/5tj+fm0iI1jfKcuxEdEVOuaPZs0pWcT2X5eCBF4koyIOiPLbufTrVtYuXcPptb0atqMiad0p1FUdKBDc8thmsxe/gPv/vk7qqi0vMM0+c/KZdw3eChTTusZ6BCFF7QjCfKXoHUGytIKIsa5dl4VQgCyUZ6oI34/fIhpn35Epj0fcG1S59o3xuDZMeMY2b6jV9cxtWbJju288+dGdh47Smy4jfM6d+Gy7j1IiIqq8bj/s+JHXtv4m9sJp0+NGsv5nbvW+POKmqF1ATrjQcj/GNf2iAbgBGyouAdRURcFNkAhfMzb+7ckI6LWS8/PY+gbC8guKMA86dddARbD4IvLptC5YYLH6zhMk39+/QXf7NyBoVTJtQylqGeL4N2LJtKpgmtURmpuLgMWvOCxUmvLuHh+vPIaDJlwGhBaa7AvRee+C45toKIgYgwqajLK0gQz437I+wB3ezSrevNREcP9G7QQfiS79gpR5MPNm8iy28skIuC6RWiteWPjbxVe56X1v5bspHvitUytybDnc90Xn5b7HFX1/a4dHhMRgOTMDP5OPVJjzym8p7WJzrgTnX4zFPwMZio4kyDnZXTqWMz8HzwmIqDQ2U8RAp8HazXtPISZ9QRmytmYh/thpl2GzvsCrX2zUaUonyQjotb7fvdOt7cDcO0Ds3TXDo/XcJgmr//ufrjEqTXJmRms2LunqmGWkVVQ4FWPR3ZBQY09p6iE3Hcg/7Oib068cZmgcyFjVgUX0K7eFGeSjwIUFdGFm9Cp4yDnZTD3g06Hwg3ojNvQ6TejdWGgQ6wzJBkRtV6Bs+JPOIWm6fH8vswMUnNzPbaxGga/HthXqdg8aVuvfoU9LQpoFR9fY88pvKO1Rue+DrhLFosSErfnT7xYds0FFkoyMmCfm7+Xfftc531Iawf62HTQOcCJf/9F/2//AXJe9WkM4jhJRkSt16NJ01Kb0Z3MohQ9Ept4vIby5qZSiXbeGNKmLY2iotxe0aIUQ9u0o0lMbI09p/CSPgbOZNwPwYDr7dVzkgsWsDSrubhCRUYGjB4NQ4ZAcnLpc8nJruOjR/s2IbF/D+Zh3P8baXTuGzJc4yeSjIhab3L30zz2MDi1ZmpRRVJ3WsTF0STG81JMh2nW6E67VsPgsRFjMJQqM1xjUYpYm41/nTW0xp5PVIY3SacGLB7OW8A2CmXUr6GYap7WGu08gnYeqtmbclYWpKTArl0wdOjxhCQ52fX9rl2u81lZNfecJ9EFG6iwuoWZCs6DPotBHCfJiKj12jdoyOyhrhULJ/aQFN/gr+rZm2Ft2nm8hsUwuLZXX/fnlaJD/QYMatmqBiI+7qzWbVh40ST6n7BXjEUpxnXszGeTrqBNveC9kdVqqh5Y2uM5KdEcn0tycjsLGPVRcXf6Irpqcw1DfYxOHYs+Mgh95Cz0kSHo7JfQ2lH9J2jRApYtg3btjicka9YcT0TatXOdb+HDPZKUp0SxCu1EtcjSXlFn/LwvmZd/W8fq5L04taZnYlOu6tWb0e07erUXi6k1d3//DR9u3oRFKZxal9xiEmNiWHjhJFrXq+ez+I/k5pCRn0/j6GjibNWrviqqT+d+jM6824uWRtFX8U3c6ip6FjsLZQnOCrhm1mOuSZ0oSg9FKbCdjar3PKombtIn9oQUK05EWtZcL2N5tH01+thVHloosLREJSyVvZqqQeqMCOEDWmtWJye59nQ5lkZceATjO3fmwi6nEGuzBTo84Udaa3TWHCiZyFrBW2nM3aiIs8BIRBnBO89HF/6JTvNcjE3FP4aKPL9mnnDNGhg06Pj3q1fDwIE1c20PtDZdK2mceyi9Guo4FfcwKupSn8dSm0kyIoQQfmDa18GxyVQ4mTViFEa9Z/wVVpW5CrV9hLsbNBgQdipGww+q/2QB7BkB0I5k9NEpYB7geEJpAZwQOQUVd7/0ilSTFD0TQgg/UOF9vGhlQqjUrHBsw30iAmCCY2f1n+fERKRdO1ePyIlzSE5eZeMDytoSlfAVKu5hCO8H1m4QcS6qwXsY8f+SRMSPZKM8IYSoBqUU2noKODbjfpmogQo71Z9hVZ2KocJhJ1XNfZj27Ss7WbVlS9d/i48PHQrLl/t2EiugjGiIulSGYwJMekaEEKKaVPSVuE9EFGCByEv8GFHVqYjReB5yskDEuOo9SWwsNG5cdkimOCFp1851PjZ459aImiU9I0IIUV0R50HBL0V70ZxY7MwCaFS9J1CWmttE0acizoXs+WAeouxwjQHKhoqaUr3niI+HJUtcdURO7vlo2dLVIxIb62on6gTpGRFCiGpSSqHi/oOKfxrCegI213BHxLmohh8X9TaEBmVEoRq8CZbWRUeslHxuNeqj6r+OstbA0El8vPshmBYtJBGpY6RnRAghaoBSCiLHoiLHBjqUalPWlpCwGApWo+2rACcqrCdEjESp8ECHJ2ohSUaEEEKUoZQBtsEo2+BAhyLqABmmEUIIIURASTIihBBCiICSYRohRMjT2gGOv0EXgLUdyqgX6JCEEJUgyYgQImRprSH3TXTOi67t3gGwoiPORcXdgzJkV2MRGnThVnTuQij8DVQ4yjYMIieGzpLwapJkRAgRsnTWI5D76klHHZD/Bbrwd2j4YVBvSicEgM55A531f5TsiwPowr8g5yWov8DLLQdCm8wZEUKEJF24vZxEpJgTnHvROa/5NSYhKkvbfypKRKB0kTkTdD762HVoMzMQofmVJCNCiJCk8z7A9UnSHRPy3vNXOEJUic55Ffe/xyboHMj7xJ8hBYQkI0IEmXxHIcv37ObrHdvYcTQt0OEEL+d+3O8HU8RMdU1uFSJYFazF8y7JoO1r/BNLAMmcESGChKk189f9wovrfyG7oKDkeN+mzZkzfATtGzQMYHRByIjH9XnKwxu5isRz74kQgeZpU8Li8xUk3bWA9IwIESTmrFrOE2tXlUpEADYcOsBFHywkOSMjQJEFJxUxHs+fKC0QMcFVpl2IYBXWC8+3YgMV3tdf0QSMJCNCBIGkjHRe3bC+3HNOrckpKOC5X9f6OaogF36G66vctzEDVCQq+hp/RyVEpajoabjv+VBAGERe7L+AAkSSkRB1ICuTp35azXVffMJNi7/g4y2bsDtkbDxUffL3ZgwPn+CdWvPp31vk3/gESilUvflgG4HrTVtR8pZmaYFq8BbK2iqAEQpRMRUxHKJvKPruxCFFC2BB1ZuLstT+IVqZMxKC3t/0J/f9sNQ1kqg1hlJ8vWMbT6xdzdsXXkLbelLoKdQczs52DSdo9+PHhaZJpt1OI6v82RZTRjSq/rNoRxLYlwMFYO0K4We4NnoTIgQYsbehw89A574NhRuBcIgYjoq6AmVtF+jw/KJKf63z5s2jbdu2RERE0KdPH1auXOm27ccff8yIESNo1KgRcXFxDBgwgG+++abKAdd1P+1L5p7vv8WpNWbRjav4vyk52Uz55AP59ByCGkVHu6qJehBmGMTZbH6KKLQoaytU9BRU9DUo20BJRETIUbZBGPXnYzRei9F4OUbcA3UmEYEqJCOLFi1ixowZ3HfffWzYsIHBgwczZswYkpKSym2/YsUKRowYweLFi1m/fj1nn30248ePZ8OGDdUOvi56cf0vbrvznVpzICuLb3Zu93NUoromdOmG00MyYlGKczt1wSa9IkKIWkjpij6OnaR///707t2b+fPnlxzr2rUrEyZMYM6cOV5d45RTTmHSpEk88MADXrXPzMwkPj6ejIwM4uLiKhNurWJqTafnnirpCSlP8U3rqVFj/RiZqAkP/Pgdb//5e5njFqWIsIbx2aWTaVe/QQAiE8FEO3aicxdB4V+gbCjbcIicgDJiAh2aEGV4e/+u1MesgoIC1q9fz913313q+MiRI1mzxruiLKZpkpWVRYMG7t9U7XY7dru95PvMzNpfCtcbTtP0mIgAmBoKnZ4L6PhSvqOQJTu2s+vYMaLDwxjdvhOt69ULWDyh5MEhw4iPiGDBhvXknzDU1iWhEY+OGC2JiEDnvI7OmsPx+ioKXbAGcp6H+m+gwjrV7PM5ktG5b0L+V6DzwNoeFXUFRIxHKanfImpOpZKR1NRUnE4niYmJpY4nJiZy6NAhr67xxBNPkJOTw8SJE922mTNnDrNnz65MaJVS4HTy9Y5tfLZ1C0dzc2kVX49J3U9lYItWQV2TIMxioUODhuw8muahTI6me+NEt2d9acmO7dz13RKyCgqwGgam1jyyeiXnd+7K/4aPlCGGClgMg9sGnMn1vU9ndXIS+Y5COjRoGLB/TxFctH0lOuu/Rd8Vf+Aoeicw09HHroJGP6BUzcwr0gW/ua6pC44/X+Ff6Iw7If8bqPcsSsnftKgZVfpNOvmGrbX26ia+cOFCHnroIT777DMaN27stt0999zDrFmzSr7PzMykZcuWVQm1jKN5uVzxyYf8nXoEQylMrdl0JIUvt29lfKcuPDFyDFYjeCe/XdWzN/f9sLTccwqwGhYu6dbdv0Hhmlh789dflEzCdJjH181/se1vTK15ZvQ4v8cVimJtNkZ36BjoMESQ0Tkvc+KurqU5wTwC+Usg8vzqP5cuQB/7B2g7pWtgFP2//QfIfR2ir632cwnQZg7kf4bO+xJ0Blg6oKIuLVoVFrwfkGtSpe66CQkJWCyWMr0gKSkpZXpLTrZo0SKuueYa3n//fc455xyPbW02G3FxcaW+asrMbxazPS0VOL4KpXji4Jfb/ub5X3+qsefyhYndujO2g6sr9sRfUYtSKKV4atQYGkZF+T2up39yDdOV12Njas0X2/5mp+yzIkSVaO2Agp+pqOKstrtf2Vgp+UtAH8N9MS7t2vZe1/4y5b6mHfvQqePQmQ9B4XpwbAf7t+hjV6Iz7qszr3GlkpHw8HD69OnD0qWlP5kvXbqUgQMHun3cwoULmTZtGu+++y7jxgXu0/H2tDRWJu11u2pBA69t/C2ol8ZaDINnRo/jf8NH0iWhEYZS2CxWRnfoxEcTL2dsx85+jyktN5dfDuyrcGLtV9u3+TEqIWoTE+/2MKmZ+WK68Hcq7Dg3D7t6Y0SVaa3R6dNdr6XrSNF/i/4d8z+E3DcDEZrfVXqYZtasWUyZMoW+ffsyYMAAXnrpJZKSkpg+fTrgGmLZv38/b77pegEXLlzI1KlTeeaZZzjjjDNKelUiIyOJj4+vwR+lYquT96Lw/CedabezJfUIPZs09VdYlWYxDCaecioTTznV6yEyX8oqsFfYxlDKq3ZCiLKUCkdbO7k+Nbt9B9OosB419IzeTk6VOSPVUvALODx/SNM5r0LUlFo/YbjSkyMmTZrE008/zcMPP0zPnj1ZsWIFixcvpnXr1gAcPHiwVM2RF198EYfDwU033UTTpk1Lvm699daa+ym85PTyxn3ifIdgF+hEBKBxdAw2i+c/FIdp0jq+nn8CEqIWUlHTcJ+IKMAGkRfUzHPZBgGeeogVWDqAUTtXeGnzKLpwK9qZ4tvnKfiJinugDoFzn0/jCAZVSmtvvPFGbrzxxnLPvf7666W+X7ZsWVWewid6NWla4dJYm8VC54YJfoqodogKC2NCl258uPkvt0Ng4RYL53Xu6ufIRF2gHXvATAUjEWWtmYnuQSnyQihYB/kf4/ocWfyhyQIoVP25KKOGepvDB4OlLTiTKH/oR6Nirg+KD0M1STt2oLMeB/uPFCd+OvwMVMxtqPCa6nU6kbcffEPnA3JVBe+yER/o1aQp3RIaYXHzB2QoxcRTTiVWSm5X2qwzBtEoOrrMa6uKptnOHjpcSpmLGqXtP2GmXohOHYk+ejk6dThm2uXowj8CHZpPKGWg4ueg4p+GsN6gokDVh8iLUA0/Q9mG1uxz1X8FjCbFR4r+W9QDGj0dIqq/aieY6MK/0WkXF+1xdMKHqoJf0EcvQ9t/rvHnVOG98NwDhav3ydKixp872FS6Amsg1GQF1j3px5j04SLS8nJLekmK55H0bNKUtyZcTHR4ePWDroNScrJ5dPVKPt/2d8lQV7eERsw8YxDD27UPcHSiNtH2lehj1xV9d+KnRgOwohq8jQrv6f/Aahmt8yDvS3T+EtDZYO2EiroUFXZKoEOrcWbapUWb1JXXC2GApRkq4bsa3fdIayc6dQQ4D1J+D5RCxdyKiil/JCIUeHv/rnPJCLhWf7zz5+98tGUT6fl5tIiL5/JTe3Bx11OkMFcNyLTbOZCVSUx4OC3i/DtJOZCcpsmyvbtZunMHeQ4HnRomMLFbdxpFRwc6tFpFaxN95GzXWHq5cygMsHbBSPjUz5GJUKUdu9Cpoytsp+q/ibKdUbPPXbgNffQK0JkcT4SKhuFsw1D1nkWpsBp9Tn+SZEQIP0rJyebKTz9ia1oqVmVgFt0kDaX4z9nnMPGUUwMcYe2h7WvRx66ssJ1q+DkqrIsfIhKhTuf/iE6/ocJ2Ku5hVzGymn5+ZyrkLUTnfQE6CyztUFGXQcSYkF9F45O9aYQQZZlac9VnH7OjqKib44QiRabW3PP9tzSPi2NQy9aBCrF28XZlgXMfSDIivGHEetdO+ebDsLIkQMw/UTH/9Mn1Q0GdmsAqhC+sStrLltQjblcSKaWY/2vNT36rs7xdMWLU82kYohYJ6wlGowoaRYDtLH9EUydJMiJENX23a4fH/YxMrVmzL5m8wkI/RlWL2QaDqmAejpEIYb38E48IeUpZUTEzPLeJuR5lxPgnoDpIkhEhqinf6cCbqVcFzpop1V3XKRWJirnFc5vY20J+rF34l4q6BBV7DxBO0bajRf+1QPQNEB26K1pCgcwZEaKauiY05iO9yWObxtHRUr+mJkVNQ2kHOnsuYKdkN1sVhYq9GxU5IbDxiZCkoq9yFZfLX4x2HkQZDSFiLMpS0RCOqC5JRoSopgu7dOPR1SsocDrLXWiqUEw9rRdGLatWGUhKKYi5DqIuBftScKaCpSnYhqMM/+9aLWoPZcRD1GXIX6t/yTCNENUUHxHBEyPHoJQqpwIt9GvenGt69QlMcLWcMmJRkRe6xvMjx0siIkSIkp4RIWrA2I6daRITywvrfuGHPbswtaZZTCxTe/Tiyh69grKY3p70Y2Tk59M0NpbG0ZWbmHcgK5ND2dk0iIykTb36PopQBCPt2InOfQfsqwEN4QNRUZNRYR0DHZoIYVL0TIga5jBNHKYTm8UalBuJrdy7h0fXrGTTEdeOpAoY2qYt9545hPYNGnp87OYjKfx35TLW7EsuOXZa40TuGnQWA1q28mHUIhjovC/RGbfj+q0pnpBtATQq/r+oyAsDF5wISlKBVQhRxpId27lp8edA6ULqFqWIDAvj44mX08FNQvJnymEmffgehU5nqZoqxXNhXhl/AUPbtPVZ7CKwXCXTx+J+B1mjqOptJ3+GJYKct/dvmTMiRB1hdzi494dvgbI7uji1Jq+wkH+v+NHt4x9c9j0FJyUi4KqjoosqzTrN2r/VeV2lc98Bj9M6FTr3bX+FI2oZSUaEqCN+2LOL9Pz8clf8gCshWZW0lwNZmWXO7TyaxsZDB0t2uj6ZBg7nZLMmOanmAhbBxb6G8neWLeaEgjX+ikbUMpKMCFFHJGdklFntczIN7C8nGUnKzPDqObxtJ0KRNyP6QT/qL4KUJCNC1BHxNpvb/XNKt4soc6xeOcfK4207EYJsA3FNVnXHAuED/RWNqGUkGRGijhjRvoPHPXQU0KF+AzqWM4G1R5OmNIv1vLNppDVMJrDWYipqMp57PsyiNkJUniQjQtQRDSKjuK53X7fnNXD7wDPLXY5sKMUdAwd7vP4/+51BdHh4dcMUQUpZ26PiH8V12zixh8QCKFTcHFRYl8AEJ0Je8FViEkL4zG0DzsTUmgUb1uM0TSzKwKFNYsLDmT1kOCPbuy9cdX7nruQXFvLvlcvILSzEohSm1oRZLNx8+hnc0Od0v/0cIjBU5HkQ1s21aqZM0bPOgQ5PhDCpMyJEHZSam8uSHdtIz8+nRVw8ozt0IMIa5tVjcwsL+Xbndg5kZdEwKorR7TsSHyFzRYQ4mTaPQd5naMduMKJRtlEQdlpQFkP0FSl6JoQQQgSIzv0Qnfkg4KC4Si04IXwQqt6zKKNyWzCEKil6JoQQQgSAti9DZ94LFOJKQhyU1GgpWItOnxGw2IKVzBkRQghRI7SZA/lfoAs3AgYqfCBEjESpujWxWWc9h+uzfnkViU0oWIEu3IwK6+bnyMrSjiTI/watc1DWNhAxGqX8P+wqyYgQQohq0/af0ek3gs6ieLWNzvsQshKh/qt1Zldf7TwCjj8qaGVB5y8NaDKitR2d8S/I/wzXwn4DjQMy/w3x/0VFjPJrPDJMI4QQolq0Iwl97FrQOUVHnJQMS5ip6GNT0WZWoMLzL53nRSMFOtfnoXiiM+6F/M9xDSOZuIaSAJ2NTr8Vbf/Jr/FIMiKEEKJadO5buG5m5Q1LOME8Cnmf+jeoANEq2otWDpS1g89jcUc7dkH+F5T/7+Va06Kz5/o1JklGhBBCVE/+13jeRA+0/Rv/xBJgyv6tF60sEDHO57G4lf81nkv7m1C4Du1M9VdEkowIIYSoJm2vqAGY3gxfhD6d/z2uORgeKBvKiPJLPOVxDZl5UetEZ/s8lmKSjAghhKgeaxc8304sEAQrR/xC51Px7sWBLe+lrG2oqCcLwsFo5IdoXCQZEUIIUS0q+grKn39QzImKusxf4QRWWDc8D4EYRclbAEWMAzwtt7ZAxHkow5v5LzVDkhEhhBDVYxsJERcUfXNi97/rFqNibg2Kmhr+oKIuxXNiZqKipvgrnHIpIxYVN7v4u5POWsBIQMXO8GtMkowIIYSoFqUUKn4OKu5hsLQ9fiLsVFfp85ibAhecnylrO1TsvUXfnXiLLbrpR0yAiLF+jqosFXUhqt6LYO16wlErRJyLavghytLYv/HI3jRCCCFqitbaVW9EWVAqMtDhBIy2r0TnvAIFPwEarJ1QUVdC5EUoFVz9ANq5H8xssDRDGbE1em1v799SgVUIIUSNUUqBqhubwHmibINRtsFo7SoAF8wl8ZWluedpLn4gyYgQQgjhI0pZ0AUbMXPegIKfAQW2QaioqajwHlW+rtYOMNNBRQV0mXBNkWRECCGE8BGd8zo667+4uh6KltPmL0bnfwlxs4smvFbiemY6OvsFyHu/qA6IQtuGoqJvrFZyE2jBNXAlhBBC1BK64PeiRARK1/VwAhqd+SC6cJv31zOPotMmQu4bJxQk02BfgT56Gdq+vIYi9z9JRkTQcJgmZvDPpxbl0NqOzvsE8+jVmKkXYKbPRNvXEgLz44XwGZ37NhXVHNG573p/vaynwZlM2YJlrnkpOv12tC6odJzBQIZpREA5TJOFf/3Bm79vYOexo1iU4uw27bi+z+n0bdY80OEJL2ina1dWHDtwfb4xwfE3Ov8riDgP4h9BqQDPjhMiEAp+xXOlU2fRPJKKaTMb8j72cD0NOgPyv4XIcysZaOBJMiICxmGa/OOrz/lh986SY06t+XHPLr7fvZMnR43l/M5dPVxBBAOdfis4dhd9V1zsqXhs/HOwtoeYfwQiNCECy5skXHl5G3YeACrq9bCiHTu82XUm6MgwjQiYhX/9wQ+7d6IpvVODU2s0cOfSJRzJzQlQdMIbunAzFHr+9KdzXqty17HWeWjnIbSZW8UIhQgg21l4HqaxFLXxglc1W0yUivDuekFGkhERMK9v/M3jeafWfLj5Lz9FI6qkYC0Vvo3odHBsr9RltSMJM/0O9OE+6CNnoVP6YB6bgXbsqHKoQvibippc/H/lnQUMVKSXe/ZYWoC1o5trFTMhYkSlYgwWkoyIgChwOtmdfqzCvSs3H0nxSzyiinRFO38W87YdaMdOdNqFkP8l4Dj+ePs36LSL0IWbKhulEAGhrB1Q9Z7C1TtSTg9JeD8wD3s10VsphYr5J+53/DXANgJlbV+NiANHkhEREFbDwFCeRzYVYLPItKagFt4Lz5uC4epetnTw+pI6435XOfHyVgxoOzrjLlmlI0KGihiNarQUoqYCxbvgKkBDwU+uJbkZt7uKmHlzrdh/4UpsDFzTPouSnPDBqPjHfPEj+IW804uAMJRiSOu2rNi7G6ebG4tTa4a1befnyESlhPV1dR07dlF+74cBkZd6XSFSO3ZB4XoPLUxwbIPCPyCECzyJukVZmqPNFCCv6Ejxe17xRO8v0ZaWXu2Uq6KnQMQYyPsE7dwLKhYVOQYVdpoPIvcf6RkRAXNDn9Pd1hWxKEWruHhGtPP+E7XwP6UUqt5zYNSj3B1Kw3qjYmd6f0HHzorbVKadEEFAOw9A/mLc9yJqyH0DrfPcnC9NWRJQMddhxP8HI+6ukE9EQJIREUD9mrfg8RFjSoZsFK4kBKB5bBxvXXAJYRapTxHslLUtquGXrm3iLS1BxYG1GyruP6gGr1dudr/yco+NWrAXh6hD7GtwP9ejiM6Bgj/8Ek4wkmEaEVAXdO3Gma1a8/7mP9l85Ag2i4Xhbdszon0HwiURCRnK0hBi/lk0wa4awvu6khmd6aFRBISfWb3nEcKvCr1sV/G8kdpKkhERcI2io7np9DMCHYYIAkrZIGY6OutR942ir0IZtWOLel2w3lUyvGADqDCwDUNFTUZZW1X8WGca5C1yVbo1cyGsEyrqMggfgqpgcrjws7BTvWhkAWsXn4cSrCQZEUIEl6hrXFuj57xMcS0GVxe3CZGTUTG3BDS8mqKz56Gzn6bUbq65b6Jz34H681AeimHpwi3oo1cW9SAVzUOwH0Lbf4SIiyH+Pyglo/DBQoV1R1tPBcdmyp/obYGIsa4exjpK6RBYI5eZmUl8fDwZGRnExcUFOhwhhB9o50HI+xTtPIyyJEDEeV71GIQCbV+JPnaNm7MKCEc1WlbuzUnrQvSRYWCm4q5+i4p78ISCWyIYaMde9NFLwTxG6YmsBljaoBouRBn1AxWez3h7/5aeESFEwGmdB/ZVoLPA0gbCeqEsTSHmHyG5z0ZFdM5rlOoRKX0WKIS8DyHmhrKn7T+AedjD1RU651WIvFyGa4KIsraGhp+jc9+CvI9cvX+WJqjISRB1ea0ZeqwqSUaEEAGjtYacl9E584sKnRWxtIP4/6LCewcuOF+qcDdXE13wC4qyyYgu+AXXW7e7yY7atc28mQqWRtWPVdQYZWmEip0FsbMCHUrQkUFFIUTA6Oy56OzHSyciAM496KNTa3Hpd296LNy18ba3Q3pFROiQZEQIERDamQo5L7g5awIOdNaT/gzJf8L743k3V4Wylb/CTIWfjucloAosrcGou5MhReipUjIyb9482rZtS0REBH369GHlypUe2y9fvpw+ffoQERFBu3bteOEFd29AQog6I38xngtBmVCwyrWEtZZR0VfhfphGgYqAyIvKP20bDkZT3CczGhV9jcwXESGl0snIokWLmDFjBvfddx8bNmxg8ODBjBkzhqSkpHLb7969m7FjxzJ48GA2bNjAvffeyy233MJHH31U7eCFEKFLm0eo+C1Ig1kLkxHbQFTsXUXfnZhUGIANVe8FtysrlLKi6r/sKg5Xaiim6DqRk1xfQoSQSi/t7d+/P71792b+/Pklx7p27cqECROYM2dOmfZ33XUXn3/+OVu2bCk5Nn36dH7//XfWrl3r1XPK0l4hah+d8xY66z947h1RqMZrUUYDf4XlV7pwEzrnbSj8DVQ42Iajoi5FWZpU/FjzGOR+6Cp6prPB2hkVdTmED5ReERE0fLK0t6CggPXr13P33XeXOj5y5EjWrFlT7mPWrl3LyJEjSx0bNWoUCxYsoLCwkLCwsDKPsdvt2O32Uj+MEKKWiRwHWXNwP//BArazam0iAqDCTkHVK/shzqvHGvUh5jpUzHU1HJUQ/lepYZrU1FScTieJiYmljicmJnLo0KFyH3Po0KFy2zscDlJTU8t9zJw5c4iPjy/5atmyZWXCFEKEAGU0QMXc6uasAYSjYmQJpBB1QZUmsJ7cBai19tgtWF778o4Xu+eee8jIyCj5Sk5OrkqYQohgF309KvYBUPVKH7d2QzV8FxXWOSBhCSH8q1LDNAkJCVgsljK9ICkpKWV6P4o1adKk3PZWq5WGDctfemaz2bDZbJUJTQgRgpRSEH0FRE2EgnVFFVhbo8Lq7oZhQtRFleoZCQ8Pp0+fPixdurTU8aVLlzJw4MByHzNgwIAy7b/99lv69u1b7nwRIUTdo1S4a4VJxChJRISogyo9TDNr1ixeeeUVXn31VbZs2cLMmTNJSkpi+vTpgGuIZerUqSXtp0+fzt69e5k1axZbtmzh1VdfZcGCBdx+++0191MIIYQQImRVem+aSZMmkZaWxsMPP8zBgwfp3r07ixcvpnXr1gAcPHiwVM2Rtm3bsnjxYmbOnMnzzz9Ps2bNmDt3Lhdd5KagjxBCCCHqlErXGQkEqTMihBBChB5v79+yN40QQgghAkqSESGEEEIElCQjQgghhAgoSUaEEEIIEVCSjAghhBAioCQZEUIIIURAVbrOSCAUrz6W3XuFEEKI0FF8366oikhIJCNZWVkAsnuvEEIIEYKysrKIj493ez4kip6ZpsmBAweIjY31uDuwtzIzM2nZsiXJyclSRM3H5LX2D3md/Udea/+R19o/fPk6a63JysqiWbNmGIb7mSEh0TNiGAYtWrSo8evGxcXJL7ifyGvtH/I6+4+81v4jr7V/+Op19tQjUkwmsAohhBAioCQZEUIIIURA1clkxGaz8eCDD2Kz2QIdSq0nr7V/yOvsP/Ja+4+81v4RDK9zSExgFUIIIUTtVSd7RoQQQggRPCQZEUIIIURASTIihBBCiICSZEQIIYQQAVVrk5F58+bRtm1bIiIi6NOnDytXrvTYfvny5fTp04eIiAjatWvHCy+84KdIQ19lXuuPP/6YESNG0KhRI+Li4hgwYADffPONH6MNXZX9nS62evVqrFYrPXv29G2AtUhlX2u73c59991H69atsdlstG/fnldffdVP0Ya2yr7W77zzDj169CAqKoqmTZty1VVXkZaW5qdoQ9OKFSsYP348zZo1QynFp59+WuFj/H5P1LXQe++9p8PCwvTLL7+sN2/erG+99VYdHR2t9+7dW277Xbt26aioKH3rrbfqzZs365dfflmHhYXpDz/80M+Rh57Kvta33nqrfuSRR/Qvv/yit23bpu+55x4dFhamf/vtNz9HHloq+zoXS09P1+3atdMjR47UPXr08E+wIa4qr/V5552n+/fvr5cuXap3796tf/75Z7169Wo/Rh2aKvtar1y5UhuGoZ955hm9a9cuvXLlSn3KKafoCRMm+Dny0LJ48WJ933336Y8++kgD+pNPPvHYPhD3xFqZjPTr109Pnz691LEuXbrou+++u9z2d955p+7SpUupYzfccIM+44wzfBZjbVHZ17o83bp107Nnz67p0GqVqr7OkyZN0vfff79+8MEHJRnxUmVf66+//lrHx8frtLQ0f4RXq1T2tX7sscd0u3btSh2bO3eubtGihc9irG28SUYCcU+sdcM0BQUFrF+/npEjR5Y6PnLkSNasWVPuY9auXVum/ahRo1i3bh2FhYU+izXUVeW1PplpmmRlZdGgQQNfhFgrVPV1fu2119i5cycPPvigr0OsNaryWn/++ef07duXRx99lObNm9OpUyduv/128vLy/BFyyKrKaz1w4ED27dvH4sWL0Vpz+PBhPvzwQ8aNG+ePkOuMQNwTQ2KjvMpITU3F6XSSmJhY6nhiYiKHDh0q9zGHDh0qt73D4SA1NZWmTZv6LN5QVpXX+mRPPPEEOTk5TJw40Rch1gpVeZ23b9/O3XffzcqVK7Faa92fuc9U5bXetWsXq1atIiIigk8++YTU1FRuvPFGjh49KvNGPKjKaz1w4EDeeecdJk2aRH5+Pg6Hg/POO49nn33WHyHXGYG4J9a6npFiSqlS32utyxyrqH15x0VZlX2tiy1cuJCHHnqIRYsW0bhxY1+FV2t4+zo7nU4uv/xyZs+eTadOnfwVXq1Smd9p0zRRSvHOO+/Qr18/xo4dy5NPPsnrr78uvSNeqMxrvXnzZm655RYeeOAB1q9fz5IlS9i9ezfTp0/3R6h1ir/vibXuI1NCQgIWi6VMZp2SklIm0yvWpEmTcttbrVYaNmzos1hDXVVe62KLFi3immuu4YMPPuCcc87xZZghr7Kvc1ZWFuvWrWPDhg3cfPPNgOuGqbXGarXy7bffMmzYML/EHmqq8jvdtGlTmjdvXmqb9K5du6K1Zt++fXTs2NGnMYeqqrzWc+bMYdCgQdxxxx0AnHbaaURHRzN48GD+85//SC92DQnEPbHW9YyEh4fTp08fli5dWur40qVLGThwYLmPGTBgQJn23377LX379iUsLMxnsYa6qrzW4OoRmTZtGu+++66M9Xqhsq9zXFwcf/75Jxs3biz5mj59Op07d2bjxo3079/fX6GHnKr8Tg8aNIgDBw6QnZ1dcmzbtm0YhkGLFi18Gm8oq8prnZubi2GUvm1ZLBbg+Cd3UX0BuSf6bGpsABUvF1uwYIHevHmznjFjho6OjtZ79uzRWmt999136ylTppS0L17GNHPmTL1582a9YMECWdrrpcq+1u+++662Wq36+eef1wcPHiz5Sk9PD9SPEBIq+zqfTFbTeK+yr3VWVpZu0aKFvvjii/WmTZv08uXLdceOHfW1114bqB8hZFT2tX7ttde01WrV8+bN0zt37tSrVq3Sffv21f369QvUjxASsrKy9IYNG/SGDRs0oJ988km9YcOGkiXUwXBPrJXJiNZaP//887p169Y6PDxc9+7dWy9fvrzk3JVXXqmHDBlSqv2yZct0r169dHh4uG7Tpo2eP3++nyMOXZV5rYcMGaKBMl9XXnml/wMPMZX9nT6RJCOVU9nXesuWLfqcc87RkZGRukWLFnrWrFk6NzfXz1GHpsq+1nPnztXdunXTkZGRumnTpnry5Ml63759fo46tPz4448e33eD4Z6otJa+LSGEEEIETq2bMyKEEEKI0CLJiBBCCCECSpIRIYQQQgSUJCNCCCGECChJRoQQQggRUJKMCCGEECKgJBkRQgghREBJMiKEEEKIgJJkRAghhBABJcmIEEIIIQJKkhEhhBBCBJQkI0IIIYQIqP8H661yFIhkpQIAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"from scipy.spatial.distance import cdist\n",
"\n",
"def kmeans_basic(X, k, max_iter=100):\n",
" # Initialize the centroids randomly\n",
" centroids = X[np.random.choice(X.shape[0], k, replace=False), :]\n",
" \n",
" for i in range(max_iter):\n",
" # Assign each data point to the nearest centroid\n",
" distances = cdist(X, centroids)\n",
" labels = np.argmin(distances, axis=1)\n",
" \n",
" # Update the centroids\n",
" for j in range(k):\n",
" centroids[j] = np.mean(X[labels == j, :], axis=0)\n",
" \n",
" return labels, centroids\n",
"\n",
"labels, centroids = kmeans_basic(X, k=3)\n",
"print(labels)\n",
"\n",
"plot_data_clusters(X, labels, centroids)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2: Computing the similarity between clusters using the mean distance between elements\n",
"\n",
"An implementation of a function to compute the similarity between clusters using the mean distance between elements:\n",
"\n",
"The *cdist* function computes the pairwise distances between all data points in the dataset $X$. We then iterate over the unique cluster labels and compute the mean distance between elements in each cluster. We sum up the mean distances for all clusters and divide by the number of clusters to obtain the average mean distance between elements. This value is then returned as the similarity measure between clusters.\n",
"\n",
"You can use this function to compare the performance of k-means clustering using different similarity measures, such as Euclidean distance and mean distance. Simply pass in the data X and the cluster labels obtained from k-means clustering. The function returns a similarity value that can be used to evaluate the clustering performance."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean distance similarity: 0.32\n"
]
}
],
"source": [
"from scipy.spatial.distance import cdist\n",
"\n",
"def mean_distance_similarity(X, labels):\n",
" # Compute the mean distance between elements in each cluster\n",
" distances = cdist(X, X)\n",
" similarity = 0\n",
" for i in np.unique(labels):\n",
" cluster_distances = distances[labels == i, :][:, labels == i]\n",
" similarity += np.mean(cluster_distances)\n",
" \n",
" # Normalize the similarity by the number of clusters\n",
" similarity /= len(np.unique(labels))\n",
" \n",
" return similarity\n",
"\n",
"# Compute the mean distance similarity\n",
"mean_distance_similarity = mean_distance_similarity(X, labels)\n",
"print(f'Mean distance similarity: {mean_distance_similarity:.2f}')\n",
"\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Exercises: \n",
"\n",
"1. Modify the mock database to have 100 samples and 3 features. Perform k-means clustering with k=4 and visualize the results using different marker styles for each cluster.\n",
"\n",
"2. Implement a new similarity measure based on Manhattan (cityblock) distance for k-means clustering and compare the clustering performance using Silhouette score and Calinski-Harabasz index with the Euclidean distance measure.\n",
"\n",
"Hint: check the documentation for the *cdist* function.\n",
"\n",
"3. Generate a new mock database with 5 clusters and 2 features. Perform k-means clustering with different values of k (2, 3, 4, 5, 6) and compare the clustering performance using the elbow method. \n",
"\n",
"Hint: to create the database choose random 5 points (the centroids); generate 5 random values for the clusters radiuses for each centroid in such a way that the circles are disjoint; within eacho of the 5 circles generate 20 random points. \n",
"\n",
"4. Use the iris dataset from Scikit-learn and perform k-means clustering with k=3. Visualize the results using a scatter plot with different marker styles for each cluster. Evaluate the clustering performance using Silhouette score and Calinski-Harabasz index."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"np.random.seed(0)\n",
"X = np.random.randn(100, 3)\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def plot_data(X):\n",
" fig = plt.figure(figsize=(8, 8))\n",
" ax = fig.add_subplot(projection='3d')\n",
" plt.title('Data points')\n",
" ax.set_xlabel('feature 1')\n",
" ax.set_ylabel('feature 2')\n",
" ax.set_zlabel('feature 3')\n",
" ax.scatter(X[:, 0], X[:, 1],X[:, 2], marker='o')\n",
" plt.show()\n",
"\n",
"plot_data(X)\n",
"\n",
"def plot_data_clusters(X, labels, centroids):\n",
" # Plot the data points and their assigned labels\n",
" fig = plt.figure(figsize=(8, 8))\n",
" ax = fig.add_subplot(projection='3d')\n",
" ax.scatter(X[:, 0], X[:, 1], c=labels)\n",
" ax.scatter(centroids[:, 0], centroids[:, 1], c='r', marker='x')\n",
" plt.show()\n",
"\n",
"from scipy.cluster.vq import kmeans, vq\n",
"\n",
"k=4\n",
"centroids, _ = kmeans(X, k)\n",
"labels, _ = vq(X, centroids)\n",
"\n",
"plot_data_clusters(X, labels, centroids)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Manhatten:\n",
"Silhouette score: 0.22\n",
"Calinski-Harabasz index: 31.86\n",
"Euclidean:\n",
"Silhouette score: 0.27\n",
"Calinski-Harabasz index: 36.58\n"
]
}
],
"source": [
"import numpy as np\n",
"from scipy.spatial.distance import cdist\n",
"\n",
"def kmeans_basic(X, k, max_iter=100):\n",
" # Initialize the centroids randomly\n",
" centroids = X[np.random.choice(X.shape[0], k, replace=False), :]\n",
" \n",
" for i in range(max_iter):\n",
" # Assign each data point to the nearest centroid\n",
" distances = cdist(X, centroids,'cityblock')\n",
" labels = np.argmin(distances, axis=1)\n",
" \n",
" # Update the centroids\n",
" for j in range(k):\n",
" centroids[j] = np.mean(X[labels == j, :], axis=0)\n",
"\n",
" return labels, centroids\n",
"\n",
"labels_manhatten, centroids_manhatten = kmeans_basic(X, k=4)\n",
"\n",
"plot_data_clusters(X, labels_manhatten, centroids_manhatten)\n",
"\n",
"from sklearn.metrics import silhouette_score, calinski_harabasz_score\n",
"\n",
"print(\"Manhatten:\")\n",
"a = silhouette_score(X, labels_manhatten)\n",
"print(f'Silhouette score: {a:.2f}')\n",
"\n",
"b = calinski_harabasz_score(X, labels_manhatten)\n",
"print(f'Calinski-Harabasz index: {b:.2f}')\n",
"\n",
"print(\"Euclidean:\")\n",
"a = silhouette_score(X, labels)\n",
"print(f'Silhouette score: {a:.2f}')\n",
"\n",
"b = calinski_harabasz_score(X, labels)\n",
"print(f'Calinski-Harabasz index: {b:.2f}')\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.cluster.vq import kmeans, vq\n",
"\n",
"def plot_data(X):\n",
" # Plot the data points\n",
" plt.figure(figsize=(8, 6))\n",
" # put a caption on the plot\n",
" plt.title('Data points')\n",
" # label the x-axis\n",
" plt.xlabel('feature 1')\n",
" # label the y-axis\n",
" plt.ylabel('feature 2')\n",
" plt.scatter(X[:, 0], X[:, 1])\n",
" plt.show()\n",
"\n",
"def plot_data_clusters(X, labels, centroids):\n",
" # Plot the data points and their assigned labels\n",
" plt.scatter(X[:, 0], X[:, 1], c=labels)\n",
" plt.scatter(centroids[:, 0], centroids[:, 1], c='r', marker='x')\n",
" plt.show()\n",
"\n",
"# Generate a random dataset\n",
"np.random.seed(42)\n",
"\n",
"centroids = np.random.randint(-10,10,(5, 2))\n",
"X = np.concatenate([c + r * np.random.randn(20, 2) for c, r in zip(centroids, radii)])\n",
"plot_data(X)\n",
"centroids, _ = kmeans(X, 5)\n",
"labels, _ = vq(X, centroids)\n",
"plot_data_clusters(X, labels, centroids)\n",
"\n",
"wcss = []\n",
"for k in [2,3,4,5,6]:\n",
" centroids, distortion = kmeans(X, k)\n",
" wcss.append(distortion)\n",
"\n",
"# Plot the WCSS vs. the number of clusters\n",
"plt.plot([2,3,4,5,6], wcss)\n",
"plt.xlabel('Number of clusters')\n",
"plt.ylabel('WCSS')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouette score: 0.553\n",
"Calinski-Harabasz index: 561.628\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from sklearn.datasets import load_iris\n",
"from scipy.cluster.vq import kmeans, vq\n",
"from sklearn.metrics import silhouette_score, calinski_harabasz_score\n",
"\n",
"iris = load_iris()\n",
"X = iris.data\n",
"k = 3\n",
"centroids, _ = kmeans(X, k)\n",
"labels, _ = vq(X, centroids)\n",
"\n",
"fig = plt.figure(figsize=(10, 8))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"colors = ['y', 'g', 'b']\n",
"for i in range(k):\n",
" ax.scatter(X[labels == i, 0], X[labels == i, 1], X[labels == i, 2], color=colors[i], s=50)\n",
"ax.scatter(centroids[:, 0], centroids[:, 1], centroids[:, 2], marker='x', color='red', s=200) \n",
"plt.show()\n",
"\n",
"silhouette_score_value = silhouette_score(X, labels)\n",
"print(f'Silhouette score: {silhouette_score_value:.3f}')\n",
"\n",
"calinski_harabasz_score_value = calinski_harabasz_score(X, labels)\n",
"print(f'Calinski-Harabasz index: {calinski_harabasz_score_value:.3f}')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.2"
},
"nteract": {
"version": "nteract-front-end@1.0.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}