{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["For help on using the functions see the documentation:\n","\n","Hierarchical Clustering:\n","https://docs.scipy.org/doc/scipy/reference/generated/scipy.cluster.hierarchy.dendrogram.html\n","https://docs.scipy.org/doc/scipy/reference/generated/scipy.cluster.hierarchy.linkage.html\n","\n","KMeans:\n","https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html\n","\n","Gaussian Mixture:\n","https://scikit-learn.org/stable/modules/generated/sklearn.mixture.GaussianMixture.html\n","\n","Principle Component Analysis (PCA):\n","https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html\n","\n","(or Google sklearn PCA)"],"metadata":{"id":"3wyp_H1-v2Cd"}},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":206},"id":"mjb5yki5IjZg","executionInfo":{"status":"ok","timestamp":1699480991464,"user_tz":300,"elapsed":204,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"outputId":"6e70c874-c3cf-4b92-e58b-458156fae4b2"},"outputs":[{"output_type":"execute_result","data":{"text/plain":[" sepal width (cm) petal length (cm)\n","0 3.5 1.4\n","1 3.0 1.4\n","2 3.2 1.3\n","3 3.1 1.5\n","4 3.6 1.4"],"text/html":["\n","
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sepal width (cm)petal length (cm)
03.51.4
13.01.4
23.21.3
33.11.5
43.61.4
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\n"]},"metadata":{},"execution_count":62}],"source":["import pandas as pd\n","import numpy as np\n","from sklearn import datasets\n","\n","iris = datasets.load_iris()\n","iris = pd.DataFrame(iris.data[:,1:3], columns=iris.feature_names[1:3])\n","iris.head()"]},{"cell_type":"code","source":["from sklearn.preprocessing import StandardScaler\n","from scipy.cluster.hierarchy import dendrogram, linkage\n","from matplotlib import pyplot as plt\n","\n","# use StandardScaler to normalize features\n","iris_nm = StandardScaler().fit_transform(iris)"],"metadata":{"id":"BtwoZnslIppO"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# make a scatter plot\n","plt.scatter(iris_nm[:, 0], iris_nm[:, 1])"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":447},"id":"GN-OXAiWMMiM","executionInfo":{"status":"ok","timestamp":1699481019114,"user_tz":300,"elapsed":357,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"outputId":"e2d3e53e-6605-4edf-99aa-7fedc9408d6c"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":64},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}]},{"cell_type":"code","source":["# create a dendrogram\n","# cluster = linkage(iris_nm)\n","# dendrogram(cluster)\n","# plt.show()"],"metadata":{"id":"mW3sMRalJ0jz","executionInfo":{"status":"ok","timestamp":1699481095309,"user_tz":300,"elapsed":1853,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"colab":{"base_uri":"https://localhost:8080/","height":429},"outputId":"2cb9052a-9849-4273-9200-5e7525348bd3"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}]},{"cell_type":"code","source":["from scipy.cluster.hierarchy import fcluster\n","\n","# use fcluster to visualize the clusters better\n","fclust = fcluster(cluster, 3, criterion = \"maxclust\")\n","plt.scatter(iris_nm[:, 0], iris_nm[:, 1], c=fclust)"],"metadata":{"id":"FXGreH_1J8xV","executionInfo":{"status":"ok","timestamp":1699481218256,"user_tz":300,"elapsed":593,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"colab":{"base_uri":"https://localhost:8080/","height":447},"outputId":"8d0aa183-3932-4309-fc49-f6b7093ff73e"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":66},{"output_type":"display_data","data":{"text/plain":["
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hYhqkWUZB9KvIuV6LlydnDCgVYTFi2Lri7uTs6IdTm4KqsZ6ODvVVJs1xsWBF+wSNSX8l0pENY5lZ2H2+t9wsSC/ZueKShAwrUNH/KvfQDhb+Wycoa2j8O9d2022ifJrhlbePmb7Gh7ZBr+eM165WCUIGN0m2tIQicgGuGCXiAAAqXnXcd+KZbhcWADgjy23BlnGohPH8MLGdVaPKdzHB238mplsM6ZNW0VrhIZFtkFrH986d+OIggC1KOIvnay7y4uIbg+TFyICAHxycD90Bn2d0yoygDVnz9TURrGWnNISXDCxDkUAsCstTVFfzioVfpg4BW2b+QOoWuirFqt+BHo4O+N/YyciykyiRET2gdNGRASdXo9fz6WYXNCqEgSsTklGrBVPlv793FmTa1RkAIcy05FepEWogt1QwR6eWHvPA9h79Qq2XbqASklCXGAQRrVpa/Vt4ER0+5i8EBFKKitM7uipdr201ArR/CGvrAwqM7uNACC/rExR8gJU7ajqFdYSvcJa1keIRGQDTF7Ibl0pLMTik8dxMicbGpUagyNaY2x0LNxYq6LeeTpr4KpWo8zMmUFKE4T6EuLpaTZxEQAEeXhYJyAisgtc80J2afHJ4xj43f/w5ZGD2JV2GVsupuLFLRsx8Nv/4dz167YOr9FxUqkw+UZ1XWMMsozJ7dpbKaIqI6PaQqMy/juWShAwsFVrm23lJiLbYPJCdmfvlTT8c8vGWiXhq1c95JWVYvqq5Xd8qjDdSoDpHTsigEArJwmeGg3+r9+AOq+pBAEatRr/sKMif0RkHUxeyO58ceSg0cPlDLKM7JJi/GaiXgfdnuXJJ01elwB8cnCfdYK5yX1x8Xhv2Khbpqw6Nw/FirvvRZtm3CFE1NRwzQvZFUmWsSvtssldL6IgYNvli5gQ286KkTVu2cXFKK2sNNtufep5zO7ZxwoR1TY+JhZjo2Nw4lo2tLpytPTyQbiPj9XjICL7wOSF7Ipcx+nBdbWpNBisFFHTUK43n7gAULQjqaGIgoC4wCBUGgz1Uum3Qq9HhSTBQ8HRAkRkX5i8kF1RiSJi/P2RkpsL4ymMgI5BwVaMqvEL8/KGShDMJo5xgUFWiqi283nXseDQAfxyNgWVkgH+bm64Ly4eDyV0hqdGY1FfXx45hM8P7UdBeTkAwEkUMTKqLd4aMhzOPNuIyCFwzQvZnZnxnYwmLgKqKqNOMbMzhiwjiiIGRrQ22+6ffftbIZraDmWk467FP2B1SjIqpaoRt9zSUnx8YB8m/7QYWl254r6eWfcr5u/aXpO4AEClJGHN2TMY8N3/UMGF4EQOgckL2Z3J7TpgQnQsgKqpgmoqQYAoCPhgxCg0c3OzVXiN1kcjxsDfxH19tmdvBLhbt56KXpIw67dfUCkZbhkVkmQZF/Lz8PaeXYr6Oph+FWvOnjF6Pau4GC9t23xH8RKRdTB5IbsjCgLeHjYS7w0bhbjAIDirVHB3csJdbWOwaup9GBnV1tYhNkouajV2zXwEk2Lb16qtEuHtgwWjx+LJrj2sHtPWixdwrbTE6BEBBlnG8tMnUVxRYbavN3fvNNvGVHJDRPaDE7xkl0RBwPiYWIyPibV1KE2Ks1qNt4eOwNtDR9g6FABAcm4O1GaOB9AZDEgrLEC7gECTfV0qyDf7+co5bUTkEJi8UJMgyzKOX8vG1cJCeLu4oHtoCzjVw46VO5VdXIwfTx5DaUUF+rZshf6tIu6or6NZmRAEoFPzELuoOivLMo5mZSKzqAh+rq7oFtoCKlH5gK+zSmXyYMZqGgV/l2pVwww0pxdpcTw7CypBQNeQFvB1dW2Qz0NEf2DyQo3ewYyr+OeWTTif98exAn6urni+Zx9M7dDRJjFV6PW49+efcCQro+a1r5OOwMtZgwVjxqJHC+WHBmp15fi/LZvw2/k/TmBWCQLGto3BvIFDbLYVeOflS3hp22ZcLiyoeS3QzR1z+/bHuGhlI2qDIlrjrT3Gp3sEAKFeXojw9TPb14DwCCw7bboQX6inp6K4gKpFw//csgGbLqTWLDCvXkz+r34DeEo1UQPimhdq1I5mZuD+n3/Chfy8Wq/nlZVh7paN+O7YUZvENXLRt7USl2raCh3u+/knnMjOUtSPTq/HfT//hN9vSlyAqrUgq8+ewfRVy1Fhg5o4u69cxoNrfkbaTYkLAFwrLcHf1/+GlcmnFfXTtpk/BraKMFpxWQYwq2uPWgu7jZnTp5/Zds8pLMBXXFGBaSuWYMvFC7V2xuklCUtPncCja1fDYMOaOESNHZMXatT+vWs7DLJsdOrhzd07FC32rE+/nTuLiwUFRq/LAOZs3qCor1VnTuNUzrU667NIsoykrEyrH6UgyzLmbd8KWZaNbnl/bedWxUnVB8NHo0tIKICqESUBQk0y87fuPRVvm/dxccXXYycYTWAe6dQF42KUVW1ecvI4LubnG73vu9IuY/vlS4r6IiLLcdqIGq0rhYU4nHnr6MbNyvR6bEg9h4mx1jstecGh/WbbJOfmQC9JUJtZH7L09EkIgNEkQRQELDt9wqoLn5Nzc2pN0dWloLwcOy5fxJDWUWb789RosGji3dh39QrWnkupOh7A2wd3t4uz+IiAfuERSHpsFt7duwtbLl6AQZIQ4++Pf/YdiAhfX8X9LDl13EQRxaoka/npkxikoHYOEVmOyQs1WtdKi822UQkCskvMt6tPeeVlitoVlJebrLsCANnFRSYfopIsI6uoyILo7pzS+5ldUqK4T0EQ0DOsJXqGKV8LZIyHszNe7j8IL/cfdNt9XDMTu0GWkVls3ftO1JQ06LTRjh07cNdddyEkJASCIGDVqlVm37Nt2zZ06tQJGo0GUVFRWLhwYUOGSI2Ykt02BllGoJULr/m4KNuN4uPiYrZNoLsHTK3iEAUBwR7KF6ECwNnruXhw1Qr0W/glhn7/DT7av9eiM42U7nIKtIPdULfL30zsKkFAsId1v6+ImpIGTV5KSkoQHx+PTz/9VFH7ixcvYvTo0Rg4cCCSkpLwzDPP4C9/+QvWr1/fkGFSI9XS2weJwc1NLtJ0UasxTMHURX16vHNXs22im/mbnTICgLvbx5kdebHkKIU5m9ZjxI/fYnvaJVzVapGan4cP9u9B3Ocf4UxOjqI+2gcEItLM7h8vjQb9wlspjsveTG3fAaKJtNEgy5gcyyMsiBpKgyYvI0eOxOuvv44JEyYoar9gwQJERETg3XffRWxsLGbNmoXJkyfj/fffb8gwqRGb26c/REEw+ph5tmcfiw/2u1Nj2sYgzMvb6HUBwL8HDVXU14SYWMT4B9S5G0d14xTmUW2UVST+4vABo1uJdQYDJi5bpGgERhAEdGoeYrJNO/8AaBz4EMR7OsQjzNu7zvsuCgJ6hIZhwB3U7CEi0+xqt9HevXsxZMiQWq8NHz4ce/fuNfoenU4HrVZb64OoWpeQUHw7bhJaevvUet1bo8G8AYPxcGJnm8S1/v6Z6FjHCc3uTk5YOH4SEs08/Ku5qJ2waOIUDGkdVStBEwUBI6Pa4vsJUxQnCZ8dOmDyerlBj6+OHDLbj+7GImhTDmVmILe0VFFc9shLo8GyydPQt2WrWvddJQiYENMOX42dYFExPiKyjF396pOVlYWgoNo/0IOCgqDValFWVgbXOipXzp8/H/PmzbNWiOSAeoa1xJbpD+FwZgauaqsq7PZq0dKmv/m7qNVYNe1+XNUW4vvjSSirrETvluEYHtnG4r58XFzx+eixSC/S4khmBgRUJW2WrHXJLS2FVqcz2251SjIe79LNZJujWZkoNNOXXpKw8/IlTIhVtjXZHgW4u+PrcRORVliApKxMqEURXUNb2EVlY6LGzq6Sl9sxd+5czJ49u+bPWq0WYWFhNoyI7JEgCOgSElpTL8RetPDyxtw+/eulr1BPL4R6et3We4sUJC4AoDOYP/tH6flA5Qr6cgQtvX1uGdkjooZlV8lLcHAwsrOza72WnZ0NLy+vOkddAECj0UBj5TULRI1NmLe3yXox1do28zfbV5tmzRT1Fa2gL3u39dIFfJN0BEczMyAKIvqFt8LDiZ2RENzc1qERNWp2NSnbs2dPbN68udZrGzduRM+ePW0UEVHToBZF9FJQQ+WfCkaJQj290Ccs3GSbCB9fJDr4A/7tPTvx8JqV2HslDSWVlSiq0GHd+bOYtGwRfjJzhhIR3ZkGTV6Ki4uRlJSEpKQkAFVboZOSkpCWlgagaspn+vTpNe0ff/xxXLhwAS+88ALOnDmDzz77DMuWLcPf//73hgyTiAB8OvIueDgZP8RxZnwiwhROj7g4mR7U1ahUEBScR2Svdly+hM9vLHA2/OlMKRnA3M0bcKkg30bRETV+DZq8HDp0CImJiUhMTAQAzJ49G4mJiXjppZcAAJmZmTWJDABERETg119/xcaNGxEfH493330XX331FYYPH96QYRIRAC8XF+x68BH0axleqzZOM1c3vDpgMF5SWJE2p7QEWy5eMNnmzPVcJOdcu6N4bembpMNGD4sEqra7LzpxzHoBETUxDbrmZcCAAZCNHIgHoM7quQMGDMDRo7Y56ZeoqfNyccHC8ZMhSRKul5XC1ckZHs7GR2PqkpyTU+eBhX92LDsLsQGBtxuqTR3NyjT5NRpkGUcyM60YEVHTYlcLdokcgSzLOJt3HfllZQjx9GyUO01EUUTAbR6boBKVTQdZWgdFlmUk5+ZAq9MhzNv7tndW1Qcl1Y+VtCGi28PkhcgCmy+m4s1dO3A+P6/mtW4hLfCvfgPQvo6ic01RQlBzuKqdUKavNNpGABQtEK7227kUvLVnJ9IKC2te6xPWEi/1H4Qov2Z3Eu5tGRAegdUpyUZHXwSAFXaJGhB/NSBS6NezKXj0l1VIvSlxAYBDmemYsnwJTl3LNvLOpsXd2RnT4xOMHskgCgJGtYlWPHKy9NQJzPp9La7clLgAwN6rVzBp2SKk5l2/w4gt91BiZ6NbwUUAbk7OFp0pRUSWYfJCpECFwYB/bdsEGbfWL5FkGRUGA17dsdUWodml2T1611QLrl7YWv3fTsEhmD94mKJ+iisq8Or2LQBuve8GWUZpZSXe3L2zfoK2QLuAQLw/fBRUglBrcbMAwNXJGd+Mm4hmbm5Wj4uoqeC0EZECWy9dQEF5udHrkizjYEY60goLGuUaGEs5qVT4dNRd2Hf1Cn46fRJXtVoEuLtjYkw7DGgVoXi9y+/nz6LMRMVegyxj88VU5JaWwt/KycJdbWPQqXkIlpw8jkMZ6VCLVUXqJsd2gK+RoppEVD+YvBApcFWrhSgIkMzsoknXapm83CAIAnqGtURPC9a2/Fm6Vgu1KJo8zVoGkFVcZPXkBagqyPdszz5W/7xETR2TFyIF/FxczSYuABrFb9x5paX4z56dOJNzDS5qJ9wT1xETYmxzgKKvqwsMJhKXP9o5/n0nIuWYvBApMLh1JDQqFXQGQ53XBQCRvn4Of17PO3t24rMblWOrHcpMx6vbt+CXex5ACy9vq8YzKioar+3YZrRelCgIiA8Ktum2aSKyPi7YJVLAS6PBrG496rxWvVzzH737OXTJ+6Unj9+SuFQr1OkwetF3kBSMgtSnAHd3/CWxc53Xqu/0c5y2IWpymLwQKfTXLt3xbM/e0KhUAFCzy8TbxQUfjhiNwa0jbRneHXtn726T14sqKrDo5HErRfOHF3r3wxNdusHpxiLf6vvu5+qG/44Zd0draojIMQmyqfr9Dkir1cLb2xuFhYXw8uJQMtU/rU6HTRfOI7+8HKGeXhjYKgIatWPPwBaUl6HTF5+ZbRfrH4Bf751utl1DyC8rw6aLqdDqdAj39kb/8Ag43UgkicjxWfL8duyfuEQ24KXRYGJse1uHUa/yy4xvA7+Zqaq5Dc3X1ZWF34gIAJMXIotcyM/DrN/WIuV6DmRUFV7r0SIMn4wYA28Ld7wcy8rE6zu34Xh2FgyyDH83NzyU0Al/SewC0crn4oR6ekLArYXg/qyVBdvAKwwGrD17BktOHkd6UdVW5kmx7TEptj3cLTzssbC8HMtOn8DKM8koLC9HhK8v7u0Qj+GRURafkUREjo/TRkQKbbt4AQ/9srLOaypBwM4HH0Gwh6eivhadOIb/27qpzmvt/QOwetr9Vk9gJi1dhKPZpk9CXnffDLRVsKOqpKICM1avwJHMjJr6ONULbFv5+GLJ5KkIcHNXFNflggJMW7EE10pKapKr6j4HR7TGZ6PGcvqIqBGw5PnNX1mIFPqLkcQFqKr0OnrR94r6yS0tNZq4AMCp3By8cqMkvjUNj2pj8rqzSoVwhSMvb+zchqSsqkSouj5O9dEKaYUFeHb974r6kWUZj/26GrmlpbVGhar73HLxAj49uF9RX0TUeDB5IVLgv4cOwNwm4fzyMlz406GNdZm/c5vZNsuTTymKq77Isozlp08aPUwRqJoG+v38WbN9FZSXYUXyKaNF/QyyjF1XLiu6VwfSr+Ls9VyjpzfLAL49dgQ6E0cIEFHjw+SFSIE1Z88oavfD8WNm2xzMTDfbplyvR5FO2SLa+lBUocP5/DyTa17UoogD6VfN9nUiOxuVCurBHFTQ18GM9JoDHY0p1OlwoSDfbF9E1Hhwwa6Dyy0tRV5ZKQLc3BtlifSC8jIcycyAm5MTuoW0sPo6kGpKS8+JChoKinuzJmUxKSrCp/TLU9CX0pp/9nhHiajhMHlxUCeuZeOdPTuxK+0yZFT98B4cEYnnevVRtKDS3mUXF+Mvv6zEqZxrNa+pRRGTY9vj34OHWT2eie3a4/SObWbbPdAxwWybbqEtcEVbaLKNq1oNT42LwujunJdGg7bN/HHueq7R0Re9JKF7aAuzfcUHBcNZpUKFkaMUqnVT0Fe30BZGp4yq+bq4oLWvn9m+iKjx4LSRAzqUkY4pPy3GnitpNQ8aGcDWSxcwcdkinL7pge+IcktLMfC7/9VKXICqh+eSUydw38/LrB7TQwmdzU5f+Lu6IdzH12xfc3v3MztSMK19Rwuiqx/3x8WbnDbycHLG8EjTi3oBwEvjgrvbdaiphPtnKkHAgPBWiFBwr7o0D0U7/wCj914A8GBCZzhztxFRk8LkxcHIsowXNq2DXpJu+Y3UIMso1+vxzy0bbRRd/Xh2w28oN7EAc+/VK9iZdsl6Ad3w7bjJRq+pRRG/36es8qyfmxv+Y2L0KDG4Of7Zt7/F8d2pq2ZGg0orK6DV6RT1NbdPf3QLqRpZqU5iqtOPSF8/vDNspKJ+BEHAgjHjEOThAeGmPqqTmeGRbfB4l26K+iKixoN1XhzMoYx03L18idl2Sutx2KOoj98zulOlWkJQMH6eep+VIvrDlcJCPL1uLU5kZ0FCVdLSP7wVPho+Gq4WFl47k5uD13dsw+HMdBhkGYHu7nisc1c80DGxYYI3wSBJ6PzlZyaTE1EQ8GzP3niiS3dFfeolCevPn8OSU8eRrtUiwN0dE2PbY1x0DFzUThbFV6TTYeWZ01iVkoyCsjK09vXDPR06YmBEa6MjPETkWHg8QCN2UeGuiksF+Q6ZvJTr9WYTFwDIKC6yQjS3CvP2xsp6Sppi/APww8Qp9dLXnSrUlZsdVRGh/PsPqErsRreNxui20XcYHeCp0WB6fCKmx1s/sSMi+8PkxcF4OmsUtfNQ2M7eOCvcTeRq4W/u9Sm/rAzrU88hr6wMoV5eGB4ZZfFIQrXLBQXYcukCyvWViPUPRN+W4TYpd+/m5FRTtdY4QfH3X7XSykpsSD2HjKIiNHN1xYiotvB2sd5CZCJqnJi8OJi+LcPhqnYyeUCen4sruoaEWjGq+iOKIlp6eyOt0PT6i0mx7awU0R8kWcaH+/fg80MHYJAkiIIIgyzBw9kZr/QfZNFhjaWVlXhh4zr8dv4sBFRNyRhkGSGenvh4xBgkNg9puC+kDi5qJwyOaI3NF1KNFuPTyxLGtFE+irL05HG8tnMbSisrobqRGL28fQtmde2BJ7t2V7btmoioDlyw62DcnZ3x166mFyj+rUcvhz7r5ZFOXUxeFyHgsc7WX6T50f69+PjAPuglCTIAg1z1mC+uqMBzG9dh3flzivqRZRlP/Loa61Kr2lf1VTXikVVcjPtX/oTUvOsN8SWYNKpNtMkqwn4urkgIbq6or9UpyZi7ZSNKK6uSbIMsQ0ZVld739u3Gfw8fvPOAiajJYvLigP7apTue7NodoiBAFAQ4iSIEVK0xeKFXX9wfF2/rEO/I6Zwck1uJJcg4mGG+Sm190urKseDwAaPXBQBv79kJJevfD2WmY2fa5TqnaCRZRoXBgAU2eLhvunDe5OLXvPIynFSwDV+SZby9Z6fJNh8f2IeSigqLYyQiAjht5JAEQcCzPftgesdE/HL2DHJLSxHs4YExbaPh5+pm6/DuiCzLWHXmtMl6IypBxJqUZPQKa2m1uDZeSDVZdE1G1WLWM7k5iA0INNnXLylnoBZE6OW6xzkMsow1KWfw5pDhVttJo9Prse78OZNrXlSCiF9SkhEXGGSyr2NZmcgoMr2gukxfiW2XLtbLYl4ianqYvDiwAHd3PJTY2dZh1CuDLKPMzCF7kiyhwIrn/gBAQXm5ggWtVe3M9qUrh2QyPQMqJQPK9Xq4OVlnYXJJZYXZSraArOi+K/27sfbfIRE1HkxeyK6oRREBbm7IKS012kYUBLT08rZiVEBLL29FW7hbKIgrzMvbbIVdHxcXuKqt98/TS+MCdydnlFQan8qRAbT08jHbV5jCvxtL/g51ej3WnkvBmpRkFJSX19R56RoSyoW/RE0Q17yQ3bk3Lt7kdIlBljGlXZwVIwIGtIqAn4ur0aRDJQjoERqGMG/zD+Qp7TqYHeW4p0NHqz6U1aKIqe3jTK81kmVMVLDLK8qvGeKDgo3+HQoAgtw9FE/7XSspxujF3+H5jeuw+0oaTlzLxtqzZzBtxVLM2bxBUVJJRI0LkxeyOw8mdEZrH1+j59k82qkL2jRrZtWYnFQqvDF4KIBbTzBWCQI0ajX+1X+gor78XMyf/l1hZuqsIUT5+ZmczPJ01iDAzV1RX68OHAInUXVLAiOias3W/MHDFNWzqdqZtQaXCwoAoCZRqU7+fjp9Ev87ekhRTETUeDB5IbvjpdFg2ZRpmBTbHk43PeAC3d3xSv9B+EfvfjaJa3hkGywcNwntblqQKwDoFdYSK+6+F7H+AYr6eXO36Z04ALDk1InbDfO2LTpxDIKJsZeiCh02XkhV1FdcYBCWT5mGHn86ObpDYBC+Hz8ZA1pFKOrneHYWjmZlmhyp+urIIeglU5u8iaix4ZoXsks+Lq74z5DheLFvf1zIz4ezSoXoZv42qT57s77hrdA3vBUuFuSjoKwMwR6eaO7paVEfu69cNtumpLISxRUV8LDwvKTbVaTTmd0GrRZF7L5yGaPatFXUZ/vAIPww8W5kFGmRVVwMP1dXtFJwkvTNdl1Jg+pGAT9jckpLcSE/zyGPwyCi28Pkheyal8ZFcWE0a4rw8QUsfBBXU7pGQ7JwNEGWZWh1OghC1RSPJWtmlMQky/JtrS8JcHOHRqW+rURMMrKd/M8MtzHyUlxRgUqDAT4uLlz0S+RgmLwQWVnHoGBcLdKabOOsUsFL4RlAsixj2akT+OroYaTm5wEA2vg1w6Odu2JiTDtFD2YvjQbh3j5IKywwuu7FIMtItCCRzCouwqcH92NF8imU6/VVBzW2icasrt0R6adszVJicIjZxc0ezs6I8FWeSG66cB6fHTqApKxMAEBzD0/MTEjEzPhODl2Zmqgp4ZoXIiv7Z98BZtuMVjg1I8sy/m/rJszdshEXbiQuAHA+7zqe37gOr+/cpqjqryAIeDChk9HERRQEeGk0uKttjKK4rmoLcdfiH7Dk5HGU31h8rJckrD17BuOW/oiT17IV9dMrrCWC3T1MtpkY017xwZhfHTmER9euxvHsrJrXMouL8J9dO/DY2tVcO0PkIJi8EFmZ+sZxDqZE+fop6mvH5UtYfPI4ANRKPKr//5ukIziQflVRX/d3TMDY6Krk5OZdQipBgLNKhS/GjIerwqJ5/9q6CQXlZbeMmhhkGeV6Pf6+/jdFSZVekkweQgoAJRU6RTFdKsjH/F3bAdw6TSYD2H75In46fVJRX0RkW0xeiKxs2emTZqdyfjhxXNHD/YcTSUa3lANVicf3J5IUxSUKAt4bNgqfjByDriGh8Na4IMjdA9PjE7Huvhno9qedQ8aka7XYcfmS0ekeSZaRmp+Hw5kZZvvafDEVhTrTyckv51KgNdMGqNrBZe64he+OHTXbDxHZnlWSl08//RStWrWCi4sLunfvjgMHjB9wt3DhQgiCUOvDReHcP5EjOHs912ybzOIi6Azma70k5+SYXBNikGUk5+Qojk0UBIxqE43Fk6bi6GNPYu/Dj+Ff/QaipbeP4j7O5V03c/jBH+3MOXs9F2ozO8wqDAZc1Raa7SslN9fkvZJRNd1GRPavwRfsLl26FLNnz8aCBQvQvXt3fPDBBxg+fDhSUlIQGFj3AXZeXl5ISUmp+TN3AlBj4qpW36inYvxBKgoC1KL5xaNKpnEsPR9JlmUcz85CyvVcuDo5oW/LcPgoKKxXE5PCYw2UtHNVOyna4eSioC83Jyez51NprHgkAxHdvgYfeXnvvffwyCOP4MEHH0S7du2wYMECuLm54euvvzb6HkEQEBwcXPMRFGT6FFsiRzIssg0MJrYAqwQBgyNamx1xAIBRbdqanAqpGklRtvgXAJJzrmH04u8wYdkizNm8AX9b9yu6f7UAb+zYpngxa2LzEPiaGS1ViyL6hbcy29eQ1pEmkw0BQGsf36qt62YMi4wyc2q2gFFRyu8VEdlOgyYvFRUVOHz4MIYMGfLHJxRFDBkyBHv37jX6vuLiYoSHhyMsLAzjxo3DqVOnjLbV6XTQarW1PojsWf/wVvBy1hi9bpBlTIxpr6iviTHtTQ3gQAAwIdr8eUQAcLEgH1NXLMW567WnTiolCV8nHcaLWzYo6sdZpcITXbqbjOn+uHj4ubqZ7au1rx9GRRlP0GQAT3XvqWh0dkRkG7T09q5zjZCAqkSvsZ3STtRYNWjykpubC4PBcMvISVBQELKysup8T3R0NL7++musXr0aP/zwAyRJQq9evXD1at07JubPnw9vb++aj7CwsHr/Oojq0+ncHGhN7JARAexSUIUXAHamXYJkInsxyLLivj47uB9llZV1rguRASw/feqWxMaYhxM74/HO3SCgakRDLQg1ScP4mHaY26e/on4A4K2hIzAgvOo4geq+xBv9vdinP8ZFxyrqR6NW48cJd9dU+VWLYs3olpuTE74YMx4xCo94ICLbEmQlWxpuU0ZGBkJDQ7Fnzx707Nmz5vUXXngB27dvx/79+832UVlZidjYWNxzzz147bXXbrmu0+mgu2mngVarRVhYGAoLC+Hl5VU/XwhRPXp1x1Z8f+yoycWjLmo1Tj7xtNndMeOX/oAT2dkm67N0aR6KJZOnmuynwmBA3OcfodLE1JBKEPBIp654oXdfk33d7EphIVYkn0JmcRGaubphXEwsom+zjP+x7Cz8evYMtDodWnr7YFJsewR5mK4BUxeDJGH75UvYdukCKiUJcYFBGBsda7WjGIioblqtFt7e3oqe3w26Os3f3x8qlQrZ2bULUmVnZyM4OFhRH05OTkhMTMT58+frvK7RaKDRGB+CJ7I3uaUlZnfjlOv1KNfrzS62zSkpNdmXJMu4VlJsNqbiCp3JxKXm85WWmG1zszBvbzzTo5dF7zEmPigY8UHKfm6YohJFDIpojUERreshKiKyhQZNXpydndG5c2ds3rwZ48ePB1B1XsvmzZsxa9YsRX0YDAacOHECo0aNasBIHY8syziYkY5VZ04jt7QUQR4emBzbHvF2eA7Q7coqLsLSUyeQnJMDZ5UKgyJaY2RUW4ffERLs7mG2SJ2Hs7Oi3TjNPTyRVVwM2UgKIwoCQhSMQHo6a6BRqc1uzw6x8BDK+iLJMnZcvoS1N428TG0fhzbNlB0z0FDyykrx0+mTOJqVCZUgok/LcIxtGwN3juIQNagGfwrMnj0bM2bMQJcuXdCtWzd88MEHKCkpwYMPPggAmD59OkJDQzF//nwAwKuvvooePXogKioKBQUFePvtt3H58mX85S9/aehQHYZOr8fT69Zi44XUmhN3VYKAH08cw4ToWLw5dISinSr27OfkU/jHpvWQUfXgEgUBa8+l4J29u/D9hCmKdpfYq8ntOuCro4eNXhcA3N0uTtEi1Kkd4nAky3ixN0mWMbV9nNl+nFQqTGrXHotPHDN5tpHShcT1qbC8HA+u+RlJWZm1vt+/TjqMJ7p0w3M9+9iknMLmC6mY9fsvqDBIqF41/fv5s3hnz058O34yOgRylyRRQ2nwJ9zUqVPxzjvv4KWXXkJCQgKSkpKwbt26mkW8aWlpyMzMrGmfn5+PRx55BLGxsRg1ahS0Wi327NmDdu2U7ZhoCl7bsRWbLlwAgJp1E9X/XZWSjPf37bZZbPXhQPpVPL9xHQw3nWJc/d/s4mI8sPIn6PTmC7jZqwgfX5PrK2QAnZuHKOqrc/MQk6M4oiAoPkzRRaUyOQUlAgi1wTqyp9etxYkbZxH9+fv980MHao5HsKZz16/jid/WoMJggHxj3Kv63hXqdHhg5XIUlpdbPS6ipsIqv57PmjULly9fhk6nw/79+9G9+x/bKLdt24aFCxfW/Pn999+vaZuVlYVff/0ViYmJ1gjTIVwvLcWy0yeNThPIABYmHUVJRYV1A6tHXx45aHShqkGWkVFUhPWp56wcVf3ZdDEVxSb+flSCgCWnlD2QlRw1sPy08VIDf+7LFAlVO5Ks6UxuDnamXTa5uPnzQwcUFbKrTwuPHYEs1/2vUJJlaHXlWJGs7L4TkeUce26hCdp95bLZYmFl+kocyki3UkT1S5ZlbLt00eTDShQEbLl0wYpR1a8tFy+YPI/IIMvYlXYZlQaD2b42pJ4z+eCWZBkbLtS92P1mOSXFJhOqar+eSzHbpj5tvXTB7I6r9CJtrRO1rWFD6jmzRw1supBqvYCImhgmLw5GyY4QoGrr6+1owJ3zikiybPKhAFTFWKF3zK8PAColg9ndRjJgsgpvNSV/zxUKpthKK02f3FxNaZXdP7vd+15pkGD+DO7b/36/XUr+HSo5m4qIbo9jb9togtoF1H0e1M0Ehe2qncnNwZdHDuH382eh0+sR4eOLB+ITcE+HeDirzJ+vU59Uoog2fs1w3sThfoIgoL0FiyGLKyrw7bEjWHTiODKLi+Dp7IzxMe3wl8QuCPP2rp/ALdAhIAi/pJwxel0A0NLbBy5q82cSxQc1R3ZxsdGETyUIinaghXl5mz33B7Ds+6qwvBxfJx3GkpMnkFNaAm+NBpNiO+AvnToj2EPZrqX2gYHQm0niXNVqhFtwcGR9iAsMwr6rV0zf93rY1k1EdePIi4OJ9Q9AYnBzo9MOKkHAgFYRihdW7rh8CeOW/IA1Kcko1+sho6pM/Kvbt+Kh1StssjB2ZkInkyMTKkHA3e06KOqrsLwck5Ytwvv79iCzuAgAUFRRgUUnjmHM4u9w6lq2mR7q36TY9nBSqUyOJ8xMULbOa3rHBLOnSk/vmGC2H1EU0Tcs3Gy7FxVWxs0pKcG4JT/g04P7a2rDFOp0+PbYEYxZ9L3iaZ4B4REI9vAwOnWkEgRMadfB6luTZ8Qnmrzvkizj3rh4K0ZE1LQweXFA7w4bCR8X11sSGFEQEOThgTcGDVXUT2llJWb9/gv0klTrB3H1zom9V6/iq6OH6jFyZe5u1wEjo9oAQK0HvOpGWfi3h45AgLu7or7m79qOC/l5t4woGGQZJZWVmPX7WqtPJfm6uuK9YaMg3FQyH6j6WgVUHUZ4X1yCor66twjDX2+cI3TzA76639k9eiuu/dM5JNTkdbUoKq5C+/K2zUgv0tZ53wt15Xhm3a+K+lGJIj4bNRYuKnWd3+/R/v54tmcfRX3Vp8ERkXjgRnJS131/qf9ARPnZtgYNUWPG5MUBtfLxxa/3PoCHEjvD+0Z1YT9XVzzRpRvWTLtf8ZD8L2fPoLiiwugohwwZ3x07CsNtrnO4XSpRxEcjxmD+4GFo28wfAgAnUcTQ1lH4afI0jFV4lo1WV45VKclGf0OWZBmXCwuw52paPUavzKg2bbHi7nsxIqoNnMSqUZgov2Z4fdBQfDpqrEV1ep7r1QcLRo9F5+YhNWf+dA1pga/umoBZ3Xoo6kOWZbNbjg2ShNUpyWb7yi4uxoYL543ed4Ms42TONZxQOOqVENwcv9z7AO5uH1dTcTjEwxPP9uyNZZPvgacNKmwLgoBXBgzGhyNGIy4wqOYMp95h4fh+wmTMiO9k9ZiImhKueXFQge4emNunP+b26V9TxM1Sp65lQy2KJhdh5pSW4npZKQLdLT9D5k6oRBFT28dhavs4SLJcNSph4deYmpdndiGnShBw8lo2eiuYMqlv8UHB+HjkXTVbbm/n77DasMg2GBbZpmYUydJ7Vagrr5lWM0YURJxUkHCcyc1RtHX55LVsxClcuxTh44s3Bg3FG4OG3vb3e30TBAF3tY3BXW1jbvu+E9HtYfLSCNzuD3InhYtxrb1o988a8uuTZBnOKtv+MxAEQcF+GvMu5F/H2rNnIQrAXW1jEG5BFWIn0fy9EgRl97Shv6/sIXH5MyYtRNbF5KUJG9iqNb5JOmL0uigI6BAYBB8XVytGVX9i/APg7+aG3NJSo21kAP3DW1ktpoaQXVyMe1YsxaXCgprX3tu3B5G+flg6aSr83NzM9uHu7IwuzUNxJCvD6KiJXpIUHWaYGNwcHs7OJuvGiIKAPjYY7SKixoFrXpqwXmEtEesfYHTnkiTLeKJLNytHVX/UoojHOxuPXyUIGBIRida+flaMqn4V6cox+LuvayUu1VLz8zDwu/+hVGG15ce7dDOauKgEAVG+fujXspXZflydnPBQQmej10VBwISYdgjysO5UJBE1HkxemjBREPC/sRPQ6sb0QnUSo7oxjfFin/4YHtnGhhHeuQcTOmFmfNW245u/PgBIDA7Bu8NG2iy2+vDGzu0o1RsvMFdUUYF39u5S1NegiNZ4uf/AmsWnwB9TNC28vPHN+ElQKVxI/FS3HpjcruoQR5Ug3vhvVV99wsLx2sDBivohIqqLINtDydF6pNVq4e3tjcLCQnjZ4BA5R1RpMGDjhVSsTz2H0soKRPk1wz0dOqKllQt/NaTk3BwsO3UCVwoL4ePignHRsejdMtwu109YIu7zj1Bipjqut0aDo4/NUtznVW0hlpw8gbPXc+HipMaw1lEYFtnmttaoHM/Owk+nTyKzqAjN3NwwIaYduoe24BoRIrqFJc9vJi9EDizq4/fM7uxRiyLOzvq7lSIiIro9ljy/uWCXyELJuTn4JeUM8svLEOrphYmx7RDiaZtEWaNSocxMFWRXtWX/zK8UFuDfu3bgXF4uNCo1JsW2x8z4RIgW1J4hImpITF6IFNLp9Xhh03r8cvZM1bqgG2cBvb9vN57u3hNPd+tp9emQQRGRZk96HhnVVnF/L2/bjO+PJ9V67fWd2/Devt1YM+0+tPZl1Vgisj3+KkWk0LztW2oSBYMsQy9JkG4UmPtw/178eOKY1WN68sbRAKY8YWLH1c2+OXr4lsSlWmllJcYu/hGSlastExHVhckLkQLXSoqx7PRJk+tLPjm4z+pHKfyeetZsgbvfU88p6uvjg/tMXi/VV+JrE3WBiIishckLkQJbLl4wuzD2WkkJTuZcs1JEVX4/d9bkCdwAzE4rAUBeaSkKysvNtvv5zGmFkRERNRwmL0QKlFZWKtpWXW5m23J9K1Xw+ZS0KdTpFH2+chM1ZYiIrIULdokUaNvM3+zIiygIiPBVfp7QpYJ8fHfsKH4/fxblegPaBwZiescEDG0dpXjhb4x/ALJLio2e4KwSBMQGBJjtJ8zbGwJgdhQnyo8LdonI9jjyQqRAr7CWCDZTzn5gqwjFp2/vvnIZI3/8Ft8fT0J2SQkKdeXYf/UKHv91DV7cshFKyy/d3zHBaOICVC0svj8uwWw/alFEt9AWZtvN7d1fUVxERA2JyQuRAqIgwN3J2WQbDzPXqxXpdHh87RpUGKRaiUf1/y89dQLLk08p6qt/eCtMax8HALUW7lb//4z4RHRXkJQAwMDwCJPXnUTRbAJHRGQNTF6IFDienYXU/DyTbX5PPQetgrUjq1KSUVpZAdnIJI0A4OujhxXFJQgC3hg0FG8MGooInz+mrCL9muHNIcPxUr+BiqagZFnGktMnTLaplCSsVbD4l4iooXHNC5ECRzIzzK4JqTAYcCY3x+z0y5HMDAiCYHRqSAaQcj0XOr0eGgXVcQVBwD0dOmJa+zgUlJdDEABvjYtFBfO0Oh0uFRSYbKMWRBzJzMCUdh0U90tE1BCYvDi4K4WFyC0tQaCHB0LvoES9LMs4m3cdZZWVaOntDT9Xt3qM8vZpdeW4mJ8PZ5UKbZv5Kz7VuC7ZxcXIKNLC28UFET6+Fj3clR7gqKRd9and5lharVcQBPi6ulr0nmqKvj5B+X0gImpITF4c1MGMq/jPrh04mpVZ81qP0DDM7dsfcYFBFvW1Mvk0Pti/B1e0hQCqHq6j2kTjxT79EWSjNQ6F5eWYv2s7VqUko8JgAAAEuXvgiS7d8EDHBIse7Kl51/HGzu3YfvlizchJrH8Anu/VFwNamV7nUa1Py3CzO3E8nJ3RITDQbF+9w8JN1ksRBQGJwc1v6xTn2+Wp0aBDQCBO5+YY3VWllyT0Dgu3WkxERMZwzYsD2n3lMu5dsQzHsrNqvX4g4yru/mkxkm5KaMz56sghPLvx95rEBahaOPrbuRRMWPYjckpL6i1upYp0Oty9fAlWJJ+qSVwAILukGK9s34I39+xU3Fdq3nVMWLYIO9Mu1Uo+zuTm4uE1P+M3hWs4Wvv6oX94K6iMJE0CgOkdE+GidjLb16g2beHmZLydJMu4Ly5eUVz16dHOXY0mLipBQIinJ4a2jrRyVEREt2Ly4mAkWcbczRsgybjlQSPJMiolCf/auklRXzklJXhz9446rxlkGTklJfjkgOmS8Q3hm6QjSM3PM7oF+IvDB3E+77qivl7fuQ1llZW39FW9WPbFLRuhM3Mqc7V3h41E22b+AP6YPqlOZoZFtsHfuvdU1E9WcbHJwnECgPN5phcHN4QxbWMwq2sPAIBKEGtiEQD4urpi4bhJcLLiaBARkTFMXhzMwfSruKrVGt2pIskyTuVcQ7KCMvUrz5w2ORVikGUsP31S8cO9vvx44pjJgnAqQcCyU6Z3xgBAVnERdly+ZDQJklG1UHXThVRFcfm5umHl1PvwwfBR6NsyHB0CAjE8sg2+HTcJn426S/GD/afTJ42O4FTHtfjkMcW1XurT7J69sXra/Zjcrj3iAoPQLbQFXu4/CJsfeIgF6ojIbnDNi4NJu2l6x1y72ADT6y/StIUQBcFkolCm1yO/vAzBHp4WxXm79JJkdqpKkmVF9yG9SGt2nYpKEJCmLVAcn7NKhbHRsRgbHav4PX+Wpi0wG1d+eTnK9HqT00sNJS4wCPMHD7P65yUiUorJi4Px1mgUtfPRuCjqy9xv9wIAT2dln7M+qAQBrmo1ykyM9oiCoPDrM99GkmX4uFi2Q+dYViY+ObgPeWVlCPPyxnO9+qCFl7fi93trXCBCgGQihXESVXBRsE2aiKgp4rSRg+nbshU8nE1Xcg1wc0fnkFCzfY1pG2OytLxKEDA4IhLuZj5ffRIEAeOiY01uyTXIMu6KjjHbV6SvH9r4NTO5LVklihjWOkpRbBV6PcYs+g4Tli3C5osXcDQrE2vOnkG/hV/hqd/XKuoDAO5qGwO9LBmPSRBwV9tobksmIjKCyYuDcXVywtPdTC8Mfa5XH6gV1EOJ9Q/AqKi2dT4kBQgQBAGzuvW47Vhv1/DINianstydnNAjNMxsP4Ig4IVefY1fB/BwYmc0c1NW0+bu5UtwOjenzmu/nkvBSwoXSncNCUWfluF13ndREOCkUuHxLt0U9UVE1BQxeXFADyd2xgu9+sJZpYKAqsqnAOCqVmPegMEWVUB9d9hIjI+OvbGrRKhZSNrMzRXfjJuIjkHBDfAVmLb2XIrJb8ySykrsSrusqK/BrSPx/vBR8LwxeqQWxKp7Jop4tHNXPG8iubnZxfx8HL+WbbLN4pPHoZeMj6hUEwQBn48aWzPiIwp/3Pcgdw/8OGEKF8cSEZkgyLbY0tCAtFotvL29UVhYCC+v26846wi0unL8fv4ccktLEezhgeGRbcxOKRmTrtVi08XzKKmoRBu/ZhgY0VrR6E19k2UZ7T77CDqD8TUvKkHAhNh2eGvICMX9lusrsSH1PK5otfBxccGIyDaKR1wA4IVN67H89Emz7T4YPsqixbyXCvKx5eIF6Ax6xPgHoF/LVndURZiIyFFZ8vzmikAH5qVxwdQbJwrfqVAvL8yI71Qvfd0JgyybTFyAqkW2RboKi/p1UTvd0Q6hgvIyRe1yS0st6reVjy8eSux8OyERETVZTF6oXqUVFuCH40nYkXYZkiyjR2gLPNAxEW2aKZsGUYsigj08kFVcbLSNKAgI9/Gpp4iVaecfqKgeTEJwcytEQ0TUtHF8murNhtRzGPr9N/gm6QjOXs/F+bzrWHzyOEb8uFBRUblq98UlmN1tVF8jTko93qUbRDPHKfq6uKBT8xArRURE1HQxeaF6cVVbiKd+Xwu9JNXafm2Qq2oBz928AafMLHit9mBCJ8T6B9ySwFT/6ZnuvRDh41tPkSvjolbjmR6md3m9N2yUlaIhImrarJK8fPrpp2jVqhVcXFzQvXt3HDhwwGT7n376CTExMXBxcUFcXBx+++03a4RJd+CHGyX9ja3+FgUBC48dVdSXm5MTFk+aihnxibUqzIb7+ODtoSPwtMIzhOrbrG49MW/AoJqdS9WC3D3w/fjJ6K/whGoiIrozDb7baOnSpZg+fToWLFiA7t2744MPPsBPP/2ElJQUBAbeWr5+z5496NevH+bPn48xY8Zg0aJFePPNN3HkyBF06GB+C3BT2m1kT+5a/D1OmTlPKcjdA3sffsyifsv1lbhSqIWzSoWW3t4Q7KRw2+mcbFzVahHdzB/hVh4FIiJqjCx5fjd48tK9e3d07doVn3zyCQBAkiSEhYXhqaeewpw5c25pP3XqVJSUlGDt2j8qlvbo0QMJCQlYsGCB2c/H5MU2xiz+HqfNJC+B7u7Y9/DjVoqIiIgciSXP7wadNqqoqMDhw4cxZMiQPz6hKGLIkCHYu3dvne/Zu3dvrfYAMHz4cKPtdTodtFptrQ+yvp4twkx+M4kAerZoaa1wiIioEWvQ5CU3NxcGgwFBQUG1Xg8KCkJWVlad78nKyrKo/fz58+Ht7V3zERZmvmw81b97O3SEqdqyEoDpHROsFA0RETVmDr/baO7cuSgsLKz5uHLliq1DapJyFBRnyzRRu4WIiEipBk1e/P39oVKpkJ1de4tsdnY2goPrPjMnODjYovYajQZeXl61Psj6fjieVHM+T11EQcAPJ5KsFxARETVaDZq8ODs7o3Pnzti8eXPNa5IkYfPmzejZs+7trj179qzVHgA2btxotD3Zh3N512vVd/kzSZZxPu+6FSMiIqLGqsGPB5g9ezZmzJiBLl26oFu3bvjggw9QUlKCBx98EAAwffp0hIaGYv78+QCAv/3tb+jfvz/effddjB49GkuWLMGhQ4fwxRdfNHSodAc8nJ0hAEbrvACAu9PtHRpJyiTnXMPBjHQAQPcWYYhu5m/jiIiIGkaDJy9Tp05FTk4OXnrpJWRlZSEhIQHr1q2rWZSblpYG8aZTdHv16oVFixbh//7v//Diiy+iTZs2WLVqlaIaL2Q7Y9pG40hmhtHroiBgbHSMFSNqOrKKi/D072txKDOjpgqxDKBHaBg+HDEaAe7utgyPiKjeNXidF2tjnRfbKNLpMPyHhcgpLbll+kglCPBwdsb6+2ci0N3DRhE2TkU6He5a/D3Si7R13vdwHx/8Mu0BuN5UqZiIyB7ZTZ0Xajo8NRosmnQ3Wnr7AKg6HVp9Y0QtwN0dP068m4lLA1iefApXtIV1rjcyyDIu5OdjdUqyDSIjImo4DT5tRE1HKx9fbHzgQey8fAl7r6ZBkmV0DgnF4IjImkSG6tfPyadMrjMSAKxIPoVpHTpaKyQiogbH5IXqlSgI6N8qgocUWkleWZnJ6zKA6wpq8BARORImLwqka7VYfPI4jmZlQC2K6B8egUmx7eHt4mLr0EgBWZZxJCsDy06dxOWCAvi6umJsdAyGRETCSaWydXh3pIWXN7JLiiEZWbomCgLCvL2tHBURUcNi8mLGyuTTeGHTOshAzQNiV9plfHRgL74dPxnxQXUXzyP7IMkyXty8ActOn4RKEGCQZYiCgPWp59AhMBDfjZ8MHxdXW4d52+7p0BEHM64avS7JMu7pEG/FiIiIGh4XIphwLCsTz238HQZZrvWbrQyguKICM1Yth1ZXbrsAyaz/Hj6AZadPAkDNotbqv8vknBw8s+43m8VWH0a3aYseoWEQ66huLEBA35bhGNo60gaRERE1HCYvJvzv6OE6HwpA1QOwSKfDz8mnrRwVKVVhMOCrI4eNXjfIMnakXcK5645b+ddJpcLX4yZgescEuKj/GEh1VTvh4cRO+GLMeKi4WJqIGhlOG5mw7fJFkyXvZQBbL13AzIRO1guKFEu5nov8ctMLWkVBwI60S2jTrJmVoqp/LmonvNR/EP7eozeSc3MAAO0DAuHuzIrGRNQ4MXkxwSBJZtvoFbQh21Dy92dJO3vnqdGgW2gLW4dBRNTgOJ5sQnxwc7MnJXdqHmLFiMgSkb5+0JjZTSTJMhddExE5GCYvJsyMTzQ5bSQALP5lxzw1Gkxp18FoAqoSBET5+nG0gojIwTB5MWFo6yg8eGM9y80PQJUgQBQEvD10BEI9eX6SPXuhdz+0CwiEAODmFEYlCPDSaPDpqLEQTIyuERGR/eHBjGbIsoxNF1Kx8NgRJGVlQS2KGBgRgQcTOnO6wUGUVVZiyakTWHTiGK5qtfDSaDAptj1mxCciyIPnLRER2QNLnt9MXoiIiMjmLHl+c7cRAQBKKiqw92oaSisr0cavGWIDAm+7r5ySEhzMSIcsy0ho3pxTa0REVK+YvDRxkizj4wN78cXhQyjTV9a8HhcYhLeGjkB0M3/FfRVXVODlrZuw+uyZmiq2AoDBEZH4z5Bh8HN1q+/wiYioCeKC3SbujZ3b8OH+vbUSFwA4nXMNU35ajIsF+Yr6qTQYMHP1ilqJC/BHIb9py5eitLLSeAdEREQKMXlpwi4XFGBh0pE6rxlkGWWVlfh4/15FfW1IPY8jmRl1nm5skGWk5udh+Y0zhoiIiO4Ek5cmbFXKaaNnNwFVScfacykoUzBi8tPpkyb7AoClp05YHCMREdGfMXlpwnJKS83WONFLEgoVnJydVVJU56hLNRnAtZISS0MkIiK6BZOXJizQzR3mdso7iSJ8XFzM9hXs7mly5EUAWFOFiIjqBZOXJmxCTDuToyUqQcCYtjFwUTuZ7evu9h1M9gUAd7frYHGMREREf8bkpQkL8/bGQ4md67ymEgS4OTnhqW49FPU1LLINujQPrXP0RSUIaOPXDJOZvBARUT1g8tLEze3TH7N79Ia7U+3RlQ6BQfhpyj1o5eOrqB+1KOKbcRMxIaZdrXOgBFSdEbV40lS4OZkfwSEiIjKHxwMQgKrzf/ZevYLSygpE+TVDjH/AbfeVU1qCwxlV26YTgoMRwgq7RERkBo8HIIu5OjlhUETreukrwM0dI6La1EtfREREf8ZpIyIiInIoTF6IiIjIoTB5ISIiIofC5IWIiIgcCpMXIiIicijcbUR2LaekBGfzcuGsUqFjYDA0an7LEhE1dXwSkF3KKS3BvO1bsO78uZpjB7w1Lni0cxc81rmb2ROsiYio8WLyQnanoLwMU5YtRnqRttZ5SYW6cry9Zxeyioowb+AQG0ZIRES2xDUvZHf+d/QwrhZpYTBS/Pn7E8dwJjfHylEREZG9YPJCdmfxyeNmT7v+6fRJK0ZERET2hMkL2RW9JCGvrMxkG0mWkV6ktVJERERkb5i8kF1RCYLZ06dFQUAzVzcrRURERPaGyQvZFUEQMDGmHVQmdhMZZBnjomOtGBUREdmTBk1e8vLycN9998HLyws+Pj54+OGHUVxcbPI9AwYMgCAItT4ef/zxhgyT7MyjnbvC3cm5zgRGFAT0a9kKXUNCbRAZERHZgwZNXu677z6cOnUKGzduxNq1a7Fjxw48+uijZt/3yCOPIDMzs+bjrbfeasgwyc608PLG0inT0NrXDwBQncKIgoBx0bH4fPRYCKzzQkTUZDVYnZfk5GSsW7cOBw8eRJcuXQAAH3/8MUaNGoV33nkHISEhRt/r5uaG4ODghgqNHEB0M3+su28GjmRl4NS1a9CoVOgXHoHmnp62Do2IiGyswUZe9u7dCx8fn5rEBQCGDBkCURSxf/9+k+/98ccf4e/vjw4dOmDu3LkoLS1tqDDJjgmCgM7NQzE9PhFTO3Rk4kJERAAacOQlKysLgYGBtT+ZWg0/Pz9kZWUZfd+9996L8PBwhISE4Pjx4/jHP/6BlJQU/Pzzz3W21+l00Ol0NX/WarmFloiIqDGzOHmZM2cO3nzzTZNtkpOTbzugm9fExMXFoXnz5hg8eDBSU1MRGRl5S/v58+dj3rx5t/35iIiIyLFYnLw8++yzmDlzpsk2rVu3RnBwMK5du1brdb1ej7y8PIvWs3Tv3h0AcP78+TqTl7lz52L27Nk1f9ZqtQgLC1PcPxERETkWi5OXgIAABAQEmG3Xs2dPFBQU4PDhw+jcuTMAYMuWLZAkqSYhUSIpKQkA0Lx58zqvazQaaDQaxf0RERGRY2uwBbuxsbEYMWIEHnnkERw4cAC7d+/GrFmzMG3atJqdRunp6YiJicGBAwcAAKmpqXjttddw+PBhXLp0CWvWrMH06dPRr18/dOzYsaFCJSIiIgfSoHVefvzxR8TExGDw4MEYNWoU+vTpgy+++KLmemVlJVJSUmp2Ezk7O2PTpk0YNmwYYmJi8Oyzz2LSpEn45ZdfGjJMIiIiciCCLJs4vtcBabVaeHt7o7CwEF5eXrYOh4iIiBSw5PnNs42IiIjIoTB5ISIiIofC5IWIiIgcCpMXIiIicihMXoiIiMihMHkhIiIih8LkhYiIiBwKkxciIiJyKExeiIiIyKEweSEiIiKHwuSFiIiIHAqTFyIiInIoTF6IiIjIoTB5ISIiIofC5IWIiIgcCpMXIiIicihMXoiIiMihMHkhIiIih8LkhYiIiBwKkxciIiJyKExeiIiIyKEweSEiIiKHwuSFiIiIHAqTFyIiInIoTF6IiIjIoTB5ISIiIofC5IWIiIgcCpMXIiIicihMXoiIiMihMHkhIiIih8LkhYiIiBwKkxciIiJyKExeiIiIyKEweSEiIiKHwuSFiIiIHAqTFyIiInIoTF6IiIjIoTB5ISIiIofC5IWIiIgcSoMlL2+88QZ69eoFNzc3+Pj4KHqPLMt46aWX0Lx5c7i6umLIkCE4d+5cQ4VIREREDqjBkpeKigpMmTIFTzzxhOL3vPXWW/joo4+wYMEC7N+/H+7u7hg+fDjKy8sbKkwiIiJyMIIsy3JDfoKFCxfimWeeQUFBgcl2siwjJCQEzz77LJ577jkAQGFhIYKCgrBw4UJMmzZN0efTarXw9vZGYWEhvLy87jR8IiIisgJLnt92s+bl4sWLyMrKwpAhQ2pe8/b2Rvfu3bF3714bRkZERET2RG3rAKplZWUBAIKCgmq9HhQUVHOtLjqdDjqdrubPWq22YQIkIiIiu2BR8jJnzhy8+eabJtskJycjJibmjoKyxPz58zFv3jyrfT4iomplJeXYumgXkvedhagS0WloPHqP7wq1k938Xmg39JV67F51EEc2HoNkkBDbMxoD7+kNV3cXW4dGDsiiNS85OTm4fv26yTatW7eGs7NzzZ+Vrnm5cOECIiMjcfToUSQkJNS83r9/fyQkJODDDz+s8311jbyEhYVxzQsRNahj207h5QlvoaSwFCq1CgBg0BsQ2NIf89f9H1rGhNo4QvtxOfkqXhz5Bq6l5da6V+4+bpi38gXE929v4wjJHliy5sWiXw8CAgIQEBBwR8EZExERgeDgYGzevLkmedFqtdi/f7/JHUsajQYajaZBYiIiqkv6+Uy8OOrfqKyoBFD1IK6Wm56H5wfPwzdnPoSbp6utQrQbJdpSvDB4Hgpyqqb0b75Xpdoy/HPUv/HF8XcREhlsqxDJATXYgt20tDQkJSUhLS0NBoMBSUlJSEpKQnFxcU2bmJgYrFy5EgAgCAKeeeYZvP7661izZg1OnDiB6dOnIyQkBOPHj2+oMImILLbqo9+h1+shS7cOXEsGCXlZ+dj8ww4bRGZ/Nn2/A3nZBZAM0i3XZElGZaUeqz7+3QaRkSNrsOTlpZdeQmJiIl5++WUUFxcjMTERiYmJOHToUE2blJQUFBYW1vz5hRdewFNPPYVHH30UXbt2RXFxMdatWwcXF86JEpH92LF8LyT9rQ/jagKAnT/vs15AdmzXz/tNXpf0Erb/xB2lZJkGW1W2cOFCLFy40GSbPy+3EQQBr776Kl599dWGCouI6I7pyipMXpdloLxEZ7JNU1FWUg6YWVlZYeZ+Ev2Z3dR5ISJyFBEdwyGKgtHrKrWIyPhW1gvIjkUlREClNv6oEVUiIjq2tGJE1BgweSEistD4J0dAqmO9SzWDXsLox4ZaMSL7NebxoTCYmGKTDBLG/XWEFSOixoDJCxGRhfpO7oGB9/Sp+sNNAzDVozEz5k1FVEKEDSKzP1EJEZj+yt0AUHu06sb/Drq3D/pO7mGDyMiRNfjZRtbGs42IyBokScKv/92IFR/8ivRzmQCAtl0iMfWFceg3uaeNo7M/O5bvxdK3VuPsoVQAQGib5pj0zGiMfmwoRJG/R5Nlz28mL0REd0CWZZRqSyGqRLh6sK6LOWXFZZAMEty83CAIxtcNUdPTYEXqiIgaA32lHqnHLkNfoUd4uxbw8HG/7b7Kistx+fRViCoRreNbwVnjVI+RNi4VukpcPn0VkkFCqw4t76iIX3FBCS6fvgq1sxqR8eE8kqGJ4d82ETUZkiRh+bu/YNk7a1B4o+Krk0aNIff3w6NvT7coiSkrLsNXc37Euq+3oKK8qtKup687JvxtNO7950SoVKoG+RockUFvwKJ//4yfP/gVxQUlAACNqzNGPDQID//nPovONyrKL8YXz3+PTT/sgL5CDwDwDvDC1OfHYdLsMZyCaiI4bURETcZHT36JXz7fcMvrokpEeLsW+HD364qmfirKK/DcoFeQcjD1lsqxggAMvKcP5nz/NKdFUDWtNv/+j7BtyS78+WkjqkTEdIvC25tfhrOLc90d3KSsuAxP9/on0pLT66zYO/avw/HUJ3+pr9DJyix5fjNFJaIm4dyRC3UmLkDVdt1Lp65g9afrFfW1/putSN5/ru6S9zKwZdEuHNt26o7ibSyStp7E1sW3Ji5A1X0/ve8s1i/cpqiv1Z+sq5l2qsuaz9bj3JELdxAtOQomL0TUJPz+1WaTxdJkScav/92oqK9f/rsBpsZUVGoRv/9vs4URNk6/fbXJ5H0XIODXLxTe9wUb6jxPqlrVfd9icYzkeJi8EFGTkHXpmsliaQBwLS1HUV/Zl3LqHEmoZtBLSD+fZUl4jVZmarbJ+y7LMrIuXlPUV+7V6yavG/QSsi5mWxQfOSYu2CWiWnRlOuxYvg+XTl6Bi5sGvcZ3ve1S94W5WmxdvBs5V3LhHeCFgff0QUCLZrfVV/r5TGxfthclBSVoHhmMgdN6wd1b+QJbr2aeEFWi0SkHAHBXuGDX09cDpdoyo9dFUYBPgGVr7sqKy7B92V5cScmAm6cr+kzqjvDYFhb1YY+8/L0giILJERNPPw9Ffbl5u6E4v8TodVElwsvf0+IYyfEweSGiGvt/O4L593+IkoJSqJ1UkCQZ381bhq4jEvDPJX+Hu5eb4r5+emcNvv7nIhgMElQ3koav5vyIic+MxqNvP6B4V0hlRSU+eOwLbPh2G0SVCFEUoNcb8PnshXjqk79gxIMDFfUz8J4+2PzjTqPXVWoRw6b3V9TX0On98cPry40eOChJMgbf109RXwCw/ae9ePfhz1BWUg61uuq+L3xpCfpO7oEXFs6Ci5tGcV/2Zsh9fXHw96NGrwuigGHTByjqa+gD/bH603VGE1DJIGHQPX1vJ0xyMJw2IiIAwJkD5/Dy+LdQWlg1oqCvNNQ8JA5vPI55k9655SR4Y377chO+eOF76CsNkCW5qi9JhizLWPH+Wnz38jLFcX3016+w8fvtAKoeTvpKAyBXnUT87sOfYc+ag4r66TI8Hu17R0NU3fpjr7rA3MRnRivqq12vtmZPSu44oJ2ivo5uOYE3pr1fc/ryzfd998/78eaMjxX1Y6+6je4EtbOJ35NlGT3HdVHU1+TZY+Dm6Wr077B972h0GR5/u6GSA2HyQkQAgEX//hmyLNeZoEgGCUc3n0DyvrNm+zHoDVj48lKTbZa9uwYlhcaH/6tlXbqGdd9sMTrlIAgCFv5riaKkSqVS4Y21c9F9VKeq94pCzUMwJCoY722fh8CWAWb7AYBvFSRfC/9viaK+vp/3EwQRdSZDkiRj14r9uHTqiqK+7NGuFftr6rHURRAFbF+6R1FfgS0D8O62eQiJDAJQlbAIN85L6j66E95YO5d1XpoIThsREXRlOuxbe9jMTg4Vti/bi3Y9o032lbzvLPKzCky2qSyvxP7fjmJQ9eGGRuz6eT8EQTCanMiyjIsn0pB5IRshkcEm+wIAd293vLr6H7h6NgMH1yVBX6FH2y6R6Ni/nUU1Wc7dOJ/HlD2rD+DZr54w2aYgpxAndiabbCOqRez4aS9atQ9THJ892bp0t8m/Q8kgY/OinXh4/n2K+mvdMRxfJ3+I49tP4+yhVKid1eg6IgEt2obUZ9hk55i8EBF0pRUmE5dqJYWlZtuUFpUr+pymFrxWKysqh6gSYZAMd9zXzVq0Dbmjh52k4F5VV901pUzBvRIFAaVa8/fdXpUUlJodGSstsuzvTxAExA9oj/gB7e8kNHJgTF6ICO4+bvD0dUeRiZ0ckiShRbT5B35oG/MjIADQom1zRX0ZKk0nLiq1CoHh/oo+Z31xcdegvERnso1fc1+z/fg194HG1Rm6sgqjbfR6A0JtNKqQcuA85k//CBnnsiDLMtTOavS/uxee/+avio8/CG/XAuePXjC6XVoQhUYxalJeqsOm73dgw7fbkJ9dgKBWARj18GD0m9Kz0Zy7dGz7Kfzy2XqcPXwBGjdn9J3YA6MfG4pmCr7X6xsnB4kIKpUKox8dWudCyGqiKGDYDPO7cUKjmiOmexuTbfyCfdCxv/kFrX0mdoe7jxuMVYRTqUX0v7snvPysuz12wNTeZttMfWGc2TYaVw2GTO8PUzNWTs5OGHSP+c9X39Z8vh6zesxF+tnMmpETfYUem3/YgQm+M1FRYTzhutnoR4eYrvMiyRj7xPB6idlW8q8V4smu/8CHf/0CZ/afQ9bFazix/TTm3/8R/jHsNZSXmk507Z0sy/jyhe/x3MBXsGvlfmReyMalk1fw4+sr8FDs35C8/5zVY2LyQkQAgGlzxiMsOuSWBKZ6QeTj782EX7Cy37AuJ181eb0gR6toYaWzizOe+99fIQgCRLH2E15UifAO8MZf/nO/opjqk4uH+a3LvgrvVUBoM5MF79y8XOHiofzgwvpQVqbDx09+Zfx6cTlmdZ2rqK+AMP+a7yFjgiMCLYrP3rw142NcPZcJyKhJ9KqnFk/uTMZ/n/vOluHdsW1L92DZO2sAoFYiKkkSyot1+OeYf1s9QWPyQkQAqhazvr/zNYx9Yjhc3P94OLeOa4mXlj+H8bNGKurnfNJFlJlZgyIZJMXl8/tM6I63N72M9r1jal5TO1edBP3pgfm3XfTuTvz2xSazbT6ZZfzhX02SJPz6penS+IU5Whxal6Q0tHrx3kOfmW1z8USaotEXc6X/RZWANZ+tUxybvbmSko5D649BMjK6JEky1n+zpeY0bUe0/N01RhNQSZJQdL0Y25bstmpMjWMijojqhaevB5786CE8/J/7kHv1OjRuGouTg9Uf/66o3bqvt2Dkw4MVtY0f0B7vbX8VeVn5KCksRbMQP7h5mj/9uaEoWYxrrpR9dZucK6bbqZxUOL79NLqP7qw4vjul9FDJQ+uS0GtsN5NtkracNLkYXDLIOLr5pEXx2ZMTO8+YbVOp0+PsoVR0GtLRChHVr4ryCpw9bPqwS1El4viO0xjx0CArRcWRF6JGw2AwIPNCNjIvZsNgML3I1Zyi/GKc3JOCi8cvWfxeSWEhu9shiCIEQTC5RkQJWZZxLS0H6eczUVlhPhFpKIpu1W3ezsyL2Ti0PgmZNj7rR2lhQ4fVgF9fbvp1XD2XCV2ZY6+ZaQgceSFycAaDAcvfXYufP/wVeZn5AAD/Fs0w+e9jMOFvoywq2nXhxCU8P/hVaHOLal4TBKDX+G54ZcXzivqY8PQobFi4zWw7S35LO7b9FL59eSlO7KiqiaJ2VmPwvX0w8/V74B/ip7gfWZax8bvtWDz/Z1w9mwkA8PB1x12PD8N9/zcJGldlZfidXZzMjr40CzUfV0BYMwSENTM5+mLQGxDXT1m1XgDYtXI/Pnryq1q1dnyDffC3zx9F73FdFfURP6A9tikoHNdlRILZNomD4nDmwHmjJf1VahEJgxx3y3Ncv1izbZw0arTp3Fpxn7tW7scPry1HatIlAICLhwtGPjQIM+bdbdF5XvXB2cUZbTq1xvmki0ZH0CSDhLi+5u9DfeLIC5EDkyQJ8+/7CP+b+0NN4gJUTUcsePZbvPPQZ4p/8710Mg2PxT9fK3EBqn6x3L3yAJ7o/IKifqISIqp2CJmgclIpnjLaveoAnh88D6d2/TE8r6/QY9MPO/Bk1znIUTA9U+3bl5fi7Qc/rVpceUNxfgmWvrkKc4a/jopy5TtozHnq00fMthFFEYPuNX0Wj6unC7qOTFAU16YftmPepHduKRKYn1WAVya8hU0/bFfUz+yv/2q2TURcSzg7O5ttN/qxG7vYjIyWGfQSJjyt7FgGexQWHYrOw+KhUtf9OBVVIoY/OAievsoOn1z96TrMm/QOLhy/XPNaeXE5Vn+6Dn/r8y9Flanr2+Rn7zKauIgqEZ5+HhhopuBkfWPyQuTA9q45hO3L9hgdud743XYc2nBMUV9zRr5h8vr5oxdxbLuytRCfH37L5Lbrtza+pKifivIKvP3Qp5Bl+ZbCcAa9hMKcQnw15wdFfV0+XbW1E8AtUzGSJOPU7hT8qmAhLgCUFZsfxs/PyjfbBgD2mjmbqayoHHmZBWb7kSQJ7z/6X5Nt3n/M9PVqrq4azPr4IaPXXTw0+OTgfEV9BbRohn8tmw21WlXre6L6Yf/khw+hw02LsR3RP757CiFRzQEBNZWaq3fHte8Vjcfema6on7ysfHz+928A4JZkQTJIuHImHUvfWl2PkSszcFpvTJ59FwDUStJElQiNmzNeXzvX6oeHMnkhcmC/LNhgujaLWsTaBRvM9lNWpsP19Dyz7ZQ+/JpHBGFF7v+QOCiuJj5BFBDdNRLfpX6CjgqnQXatPICSglKj6z4Megnbl+2FNq+o7gY3+e3LzUZ/O6625vP1iuLattT8zgolDxltXhHSktPNtvvyhe/Nttm6ZLfZqayKskpsXmT8ZO2bjXtyJD7ZNx+hbZvXrDFSO6sx6N4+WJX/raJRl2q9xnbFV6fex/hZI9EiOgTNWwdhyP398NmhNzH+KWW72OyZb6A3Pj34H/zts0cR3S0KQeEB6NA3FnN/eBpvbXpJ8YN9w8JtJqs3SwYJa/+78Y7XtFlKEAQ89s50vLPlFfQe3w3BEYEIb9cC9744EV8nf4h2PdpaNR6Aa16IHFpa8lWjawkAQNJLZmuuAEDaCWUH/+UrGAGo5uHtgbc2KRthMSb9bCZUTiqTVXYNegOuXc41W6juytkM08XSZBkZ57MUxWWuui6AWtN4xlw8nqbo811JyTDbJnmfskJhyfvOYbCZqapq0d2isPDMR4ramhMa1RxPvD8TT7w/s176szeu7i4Y89hQjHls6G33cfVsJkRRgMFEAlOUV4ySwlKrF2YEYFdHMjB5IQCAbMgCdFsBuRRQRwHOfSAIysp/k+24e7khB6bXfHh4m15/AgB+ocoKqjlprPsjw9XTxWRyVs3Ny/y2aXcvV4gq0WR/Lu7KisGJomD2fCNnFyez/fgEeSv6fEq2hXv5KVvI6dVM2doLeybLMo7vOI1zhy9A7axGl+EJaNHG/HET9s7V0wVGFwfdIIiC1ado7BGnjZo4Wa6AVPh/kHMGQNa+Arnobcj5j0DOGQi54oCtwyMzBt7Tx2T1UkEQMHCa+YV0AaHNoHY2n5gMmznQovjuVJ+J3c0uOI6Ia4nmrYPM9tVvck+TiYtKLSouw69k50jPseZ39oTHtlCUeE342yizbcY/bb4NAIefprl44jIebv8Mnhv4Cr584Qd89rdv8GD003hl4tsoceADLAGg/5SeMOiNjzKKKhE9xnSGs4vyKbvGislLEycXzgXKlgOQULWw4MYPd+ka5LyHIFeetmF0ZM7oR4fAq5lnneteRJUI32AfDH9QWcIxVMG5RQ/Pv9fiGO9EcKtAePqZHilo06l1zSJJU3qO7YJWHcIg1rHuRRAFqJ3UmPT3MYrievIj44tZgarDIh99+wFFfXUeGm/yuqgS0GdCd7P9ePl5ouvIRJNtuo1KtMl0Q325lpaD2f1fRvq5quk9SZJqktu9vxzC/42ZD0kyP1Jnr9r3jkH8gPZ1/nuuqm8k4N4XJ9ogMvvD5KUJkyvPAuW/oCZhqUUCYIBc/ImVoyJLePt74d2tryAoPABA1RZklbpqui8kMgjvbpsHDx9l0wmlZkr6A8rXaNSX80kXUXS92GSbHcv3KupL7aTGWxtfQtvOkQCqRlpUTlX3ytvfC//Z8C/FpxvHdm+LOT88fct5S0DVdNF72+cpThKStpquLisZZBzZfFxRX6//Msfozp0OfWLw2po5ivqxV8vfW4vSorI6R9Akg4STu87gsMLddfZIEATMW/k8Og2JA1D1Paq+8T3q5uWKeSufR0w304eeNhWC3MjKH2q1Wnh7e6OwsBBeXl62DseuSUXvAyVfADC1cl2EEHgYgmjdwkhkGYPBgEPrj+HEjtMQBAEdB7RH56EdFReoqyivwFivB0wuaFWpVZj4t1F49G1l2z7rw6tT3sXOFfvMtvtg52u1zj4yRZZlnN57Fgd+OwJ9hR5tu0Si1/iucHI2v0blzyrKK/DdvJ+QtPUkVGoR/Sb3xISnlRcGTE/NxMw2T5ttlzgozqLFz+eTLuLbl5biemY+/EP8MPO1qWjdsZXi99urif4PoijPeDIrqkQMvKc35nxn/p7au/NHL2LP6oPQlerQqkNL9JvSQ3ERRUdlyfObC3abMqkA5haHARIgFwFg8mLPVCoVuo/qhO6jOt3W+8uKy00mLlVkaM2MgtS3whytonZZl3MUJy+CIKB9r2i07xV9J6EBqKo++pf59932+69dzlXUztQDuy5RCREOP8pSlxIzhxtKBumWIouOKioxAlGJEbYOw24xeWnCBFUo5DqnjG7mAojKy6+TY/LwcYerhwvKisuNtpFlIKhVgBWjAkKignF8h/l1V476Qz68XQtF7ax93+2Vf4tmuJZmPOFTqUUER5hfvF2tehTuty834erZDHj6eWDQPX3QZ1IPOGssH4kj6+Gal6bMdbyZBirAdQIEgSvbGzuVWoURDw0yWfBOlmQMnznAekEBePD1aWbb+AZ7IzxWWRJgb/yCfRXtlLL2Qml7NeaxYSZ31xn0EkY+rOzMLEmS8MHj/8Uzff4Pm3/cUTWV+PtRzL//I/y18wvIzy6op6ipITB5acIEVSAEj9lGrqoA0Q+Ch/kzTqhxuOfFiWgW4mu0Cu0DL01BYEvrjgD4BfvCJ9D03LeSLcn2bM73T5ncLdV7fDeERYdaMSL7NW7WCITHtjCaZI95fBjadFJ2AOKK93/Fb19uBoCaKdPqkvxXzmbg1Snv1kPE1FCYvDRxgsejELz+DYg3F3gSAc0QCM2WQ1ApH4Ilx+Yb6I2P9v4bfSb1qPVw8G/RDH/7/FHc/9Jkq8eUcigVBddMr3vZ98thk7Ux7F27ntF4d/s8+Ab71HpdpRYx5rGheOVnZad5NwVunq54b8erGDq9f626RN4BXnjkzfvx1CcPK+rHoDfgp3fXGL0u6at2Lp09nHrHMVPD4G4jAgDIsgTozwByCaCKgKDyt3VIZEP51wqRfjYDGjcNWseHQ6WyTbXlRf/+Gd++vNRsld0vT7yHVu3DrBRVwzmfdBGndp2BV4AX+k7qDrWayxKNKcovxuVTV6B2ViMqMQJqJ+X36uLJNDza8VmTbUSViJmvTsM9cyfcaaikEHcbkcUEQQSclB2WR42fT4AXnJzVcHZxslniAlTtHlFQf86hR15uFpUQgagEx1x8bG2evh7o0Cf2tt6r5PtFEBrP91Vj1GDTRm+88QZ69eoFNzc3+Pj4KHrPzJkza6oIVn+MGDGioUIkoj/Rlenw4xsrMK3FY5jgNxNj3O/D3FFvKNrx0xBiurcxu4XbzdMVLdo6/rk2ZD1h0SE3zhEyzqCX0K6n9U9LJmUaLHmpqKjAlClT8MQTT1j0vhEjRiAzM7PmY/HixQ0UIRHdTFemwwtDX8O3Ly+tORFZloEjG4/juYGvYMviXVaPqdOQOIREBhldoCmKAsY8NrTRF++i+qVx1WDMo0ONFhMUVSJCooKRMKiDlSMjpRoseZk3bx7+/ve/Iy4uzqL3aTQaBAcH13z4+io77ZaI7szyd9fizL6zNTsuqkmGqvNj3nnoM2jzrFsATBRFvPLz8zUnQlcTBAEQqs6CmT7vbqvGRI3D9HlT0a5XW0BArd1eokqEu5crXlnxnOJKyWR9dvc3s23bNgQGBiI6OhpPPPEErl+/brK9TqeDVqut9UFElpEkCas/WwdJMr5+X1+hx6bvd1gxqioRceH44sR7uPv5cfAP9YOrhwsiOrbE3z57FP/Z8C+OutBtcXHT4M2NL+Fvnz2KiI4t4erhAv9QP9z9/Dh8ceI9RMSF2zpEMqHBdxstXLgQzzzzDAoKCsy2XbJkCdzc3BAREYHU1FS8+OKL8PDwwN69e40uGnzllVcwb968W17nbiMi5bTXizApwNxJySKGPtAfz/6PtX+IqP5ZstvIopGXOXPm3LKg9s8fZ86cue3Ap02bhrFjxyIuLg7jx4/H2rVrcfDgQWzbts3oe+bOnYvCwsKajytXrtz25ydqqpxclJRCF6Bx4yiHIzDoDTi04Rg2fLsNhzYc464ZanQs2ir97LPPYubMmSbbtG6trLqhEq1bt4a/vz/Onz+PwYMH19lGo9FAo+EPVKI74erugsTBcTi27ZTRmioGvQG9xnezcmRkqa1LduPz2QuRn1VQ85pvsA/++v5MDJja23aBEdUji5KXgIAABARYrzz41atXcf36dTRvzm2QRA3tnrkTcHTLiTqviSoRkfGtkMjdF3Zt+7I9+Pe9H9zyen5WAd645wMIgoD+d/eyfmBE9azBFuympaUhKSkJaWlpMBgMSEpKQlJSEoqL/zjaPSYmBitXrgQAFBcX4/nnn8e+fftw6dIlbN68GePGjUNUVBSGDx/eUGES0Q2Jg+LwwjezoHZSQRAFiGoRKnXVWrPI+HC88etck2fwkG0ZDAZ8PnuhyTYLnv0WBgOnkMjxNViF3ZdeegnffvttzZ8TExMBAFu3bsWAAQMAACkpKSgsLAQAqFQqHD9+HN9++y0KCgoQEhKCYcOG4bXXXuO0EJGVDJ3eH91GJWLDt9tx6VQaNK4a9B7fFYmD47ht1M6d2JGM6xn5JtvkpufhxI5kJAzkCBo5tgZLXhYuXIiFCxeabHPzRidXV1esX7++ocIhIoW8/b0w5dm7bB0GWSjvpjUu9dGOyJ7xVykiokagWYiygp7+oX4NHAlRw2PyQkTUCMT1jUVAWDPA2LIkAQgMD0CHPjFWjYuoITB5ISJqBERRxKyPHwaAW07irjpNQcCTHz7ItUvUKPC7mIiokeg1titeXfUPBLUKrPV6cEQgXl39D/Qa29VGkRHVrwY/HsDaLCkvTETUGEmShOR955CXmY9mIb6I7dGW29zJ7lny/G6w3UZERGQboiiifa9oW4dB1GA4bUREREQOhckLERERORQmL0RERORQmLwQERGRQ2HyQkRERA6FyQsRERE5FCYvRERE5FCYvBAREZFDYfJCREREDqXRVditPu1Aq9XaOBIiIiJSqvq5reTUokaXvBQVFQEAwsLCbBwJERERWaqoqAje3t4m2zS6gxklSUJGRgY8PT0b9UFkWq0WYWFhuHLlCg+gvAO8j/WD9/HO8R7WD97HO2ereyjLMoqKihASEgJRNL2qpdGNvIiiiBYtWtg6DKvx8vLiP9B6wPtYP3gf7xzvYf3gfbxztriH5kZcqnHBLhERETkUJi9ERETkUJi8OCiNRoOXX34ZGo3G1qE4NN7H+sH7eOd4D+sH7+Odc4R72OgW7BIREVHjxpEXIiIicihMXoiIiMihMHkhIiIih8LkhYiIiBwKk5dG4NKlS3j44YcREREBV1dXREZG4uWXX0ZFRYWtQ3Mob7zxBnr16gU3Nzf4+PjYOhyH8emnn6JVq1ZwcXFB9+7dceDAAVuH5FB27NiBu+66CyEhIRAEAatWrbJ1SA5n/vz56Nq1Kzw9PREYGIjx48cjJSXF1mE5nM8//xwdO3asKU7Xs2dP/P7777YOq05MXhqBM2fOQJIk/Pe//8WpU6fw/vvvY8GCBXjxxRdtHZpDqaiowJQpU/DEE0/YOhSHsXTpUsyePRsvv/wyjhw5gvj4eAwfPhzXrl2zdWgOo6SkBPHx8fj0009tHYrD2r59O5588kns27cPGzduRGVlJYYNG4aSkhJbh+ZQWrRogf/85z84fPgwDh06hEGDBmHcuHE4deqUrUO7BbdKN1Jvv/02Pv/8c1y4cMHWoTichQsX4plnnkFBQYGtQ7F73bt3R9euXfHJJ58AqDpbLCwsDE899RTmzJlj4+gcjyAIWLlyJcaPH2/rUBxaTk4OAgMDsX37dvTr18/W4Tg0Pz8/vP3223j44YdtHUotHHlppAoLC+Hn52frMKgRq6iowOHDhzFkyJCa10RRxJAhQ7B3714bRkZNXWFhIQDwZ+AdMBgMWLJkCUpKStCzZ09bh3OLRncwIwHnz5/Hxx9/jHfeecfWoVAjlpubC4PBgKCgoFqvBwUF4cyZMzaKipo6SZLwzDPPoHfv3ujQoYOtw3E4J06cQM+ePVFeXg4PDw+sXLkS7dq1s3VYt+DIix2bM2cOBEEw+fHnh0R6ejpGjBiBKVOm4JFHHrFR5Pbjdu4hETmuJ598EidPnsSSJUtsHYpDio6ORlJSEvbv348nnngCM2bMwOnTp20d1i048mLHnn32WcycOdNkm9atW9f8f0ZGBgYOHIhevXrhiy++aODoHIOl95CU8/f3h0qlQnZ2dq3Xs7OzERwcbKOoqCmbNWsW1q5dix07dqBFixa2DschOTs7IyoqCgDQuXNnHDx4EB9++CH++9//2jiy2pi82LGAgAAEBAQoapueno6BAweic+fO+OabbyCKHFQDLLuHZBlnZ2d07twZmzdvrllgKkkSNm/ejFmzZtk2OGpSZFnGU089hZUrV2Lbtm2IiIiwdUiNhiRJ0Ol0tg7jFkxeGoH09HQMGDAA4eHheOedd5CTk1Nzjb8BK5eWloa8vDykpaXBYDAgKSkJABAVFQUPDw/bBmenZs+ejRkzZqBLly7o1q0bPvjgA5SUlODBBx+0dWgOo7i4GOfPn6/588WLF5GUlAQ/Pz+0bNnShpE5jieffBKLFi3C6tWr4enpiaysLACAt7c3XF1dbRyd45g7dy5GjhyJli1boqioCIsWLcK2bduwfv16W4d2K5kc3jfffCMDqPODlJsxY0ad93Dr1q22Ds2uffzxx3LLli1lZ2dnuVu3bvK+fftsHZJD2bp1a53fdzNmzLB1aA7D2M+/b775xtahOZSHHnpIDg8Pl52dneWAgAB58ODB8oYNG2wdVp1Y54WIiIgcChdGEBERkUNh8kJEREQOhckLERERORQmL0RERORQmLwQERGRQ2HyQkRERA6FyQsRERE5FCYvRERE5FCYvBAREZFDYfJCREREDoXJCxERETkUJi9ERETkUP4f7IANXeOJPLIAAAAASUVORK5CYII=\n"},"metadata":{}}]},{"cell_type":"code","source":["from sklearn.cluster import KMeans\n","# fit KMeans object\n"],"metadata":{"id":"b6fYzx2opc1u","executionInfo":{"status":"ok","timestamp":1699481928603,"user_tz":300,"elapsed":178,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"colab":{"base_uri":"https://localhost:8080/","height":129},"outputId":"53ea805d-4a87-477a-9720-67126c0b27bf"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n"," warnings.warn(\n"]},{"output_type":"execute_result","data":{"text/plain":["KMeans(n_clusters=3)"],"text/html":["
KMeans(n_clusters=3)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
"]},"metadata":{},"execution_count":72}]},{"cell_type":"code","source":["# plot kmeans cluster results\n","labels =\n","\n","plt.scatter(iris_nm[:,0], iris_nm[:,1], c=labels)"],"metadata":{"id":"lAW1psSPprkj","executionInfo":{"status":"ok","timestamp":1699481930983,"user_tz":300,"elapsed":522,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"colab":{"base_uri":"https://localhost:8080/","height":447},"outputId":"e72548b7-d6ea-4d4c-e16e-d62f9a1887bc"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":73},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}]},{"cell_type":"code","source":["# you can use these functions\n","from matplotlib.patches import Ellipse\n","\n","def draw_ellipse(position, covariance, ax=None, **kwargs):\n"," \"\"\"Draw an ellipse with a given position and covariance\"\"\"\n"," ax = ax or plt.gca()\n","\n"," # Convert covariance to principal axes\n"," if covariance.shape == (2, 2):\n"," U, s, Vt = np.linalg.svd(covariance)\n"," angle = np.degrees(np.arctan2(U[1, 0], U[0, 0]))\n"," width, height = 2 * np.sqrt(s)\n"," else:\n"," angle = 0\n"," width, height = 2 * np.sqrt(covariance)\n","\n"," # Draw ellipses\n"," for nsig in range(1, 4):\n"," ax.add_patch(Ellipse(position, nsig * width, nsig * height,\n"," angle, **kwargs))"],"metadata":{"id":"Sb_fKzyXu0aN"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["from sklearn.mixture import GaussianMixture\n","\n","# create GMM object\n"],"metadata":{"id":"_Ybp_WuxTsEw"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# plot ellipses\n","plt.scatter(iris_nm[:,0], iris_nm[:,1], c=predictions, s=40, cmap='viridis')\n","\n","w_factor = 0.2 / gmm.weights_.max()\n","for pos, covar, w in zip(gmm.means_, gmm.covariances_, gmm.weights_):\n"," draw_ellipse(pos, covar, alpha=w * w_factor)"],"metadata":{"id":"6weM_rlPvzIS","executionInfo":{"status":"ok","timestamp":1699482158182,"user_tz":300,"elapsed":974,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"colab":{"base_uri":"https://localhost:8080/","height":485},"outputId":"e838a1c4-5888-4f0c-adcd-4e5b9e13ba7c"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stderr","text":[":19: MatplotlibDeprecationWarning: Passing the angle parameter of __init__() positionally is deprecated since Matplotlib 3.6; the parameter will become keyword-only two minor releases later.\n"," ax.add_patch(Ellipse(position, nsig * width, nsig * height,\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}]}]}