{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "PCA\n", "==" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)']\n", "(150, 4)\n", "(150, 2)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import sklearn\n", "import mglearn\n", "from sklearn import datasets\n", "import matplotlib.pyplot as plt\n", "from sklearn.decomposition import PCA\n", "iris = datasets.load_iris()\n", "print(iris.feature_names)\n", "\n", "datos = iris.data\n", "mglearn.plots.plot_pca_illustration()\n", "\n", "pca=PCA(n_components=2)\n", "pca.fit(iris.data)\n", "\n", "transformada=pca.transform(datos)\n", "print(iris.data.shape)\n", "print(transformada.shape)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Componente pca 2')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mglearn.discrete_scatter(transformada[:,0], transformada[:,1], iris.target)\n", "plt.legend(iris.target_names, loc='lower right')\n", "plt.xlabel('Componente pca 1')\n", "plt.ylabel('Componente pca 2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparamos los datos transformados por pca\n", "==" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.7163421126838476\n" ] }, { "data": { "image/png": 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yQkRWi8jtNs8fJyI5IrIw/ufumrhusqS3TKNtt9bs2rKbWDRxhNH/qIMYcYZtO2pNqxe25OYy/t23GP7ycxz96oucPPk1lmbtSHZYlXJS9562LY1NpTi6c9c6i8PndJXouLmPIPjqWf1+tRO+iDiAZ4DRQD/gfBHpZ3Pot0qpQfE/91b3uskUi8Z47ub/K9H1srilc3/ngyc+reOoNK1ioqbJue+9zcLt24iYJuFYjFV7dnP+B1PILixMdngVNqJjJ0Z27VaU9AXwOZ1cM3goHdLT6yyO8Qf3x+1I/KQvQp3+4qmImhjhDwVWK6XWKqXCwNvA2Bo4b721a8sewsGyPzIGC0K8+eAHdRiR1lip2G5U8AtUaC5KRWvknN9sWEduKEis1HRI1DSZ+vuyGrlGTdlZUMCmnBzsduYTEZ445TSePOU0xvXpy7kHD+D1M8/hhuF12xxuYJu23DjsCDwOBynxlc2pbjcvnn5mvVuhWxPRdACK9w7dDAyzOW6EiPwGbAX+rJRaWgPXToq0lqm2O1cVl7srj1gshsPmN7+mVYSZ/zzkPw0S/zEVL7R4DXH1qdZ5t+TmErVZKBiMRtmQs7da564pW/Nyue6zT1i2MwtDhJZeH/8+eQxDO3QscZwhwvHdunN8t+5JitRy1eDDObNvP+Zu3IDP5eLYLl35ZsN6znh7MlkF+Qxu14FbRhxJ9xYtkxpnTYzw7XYFKP3d9CvQRSk1EHgK+LDMk4lcJSLzRGTezp31cxd5f5qPY84ZjttbdqVO226tK5zsCwuCRCM1M3rTGgcV/hnynwVCoAqsP+ZuVPYkVBmdMCtqYJu2tnPOfpeLwfVgZa6pFBPfn8LiHdsJx2IEo1G25udx2bQP2JKXm+zwypTpT2HcQf04uUcv3l6ymJu/mM6SrB1kFRTwxZpVjH17Mmuz9yQ1xppI+JuBTsW+7og1ii+ilMpVSuXH/z4dcImI7RbxSqkXlFJDlFJDMjMzayC82nHTC1dzxLihOFyJSd3tc3P1oxcf8ByLv13OpINv5MwWl3BG+sU8dsV/CZZaxas1TSrwFmAzn64KIPJrtc59SJu2HNauHd5i0w1uh4O2qamc3KNXtc5dE37avIndhYGEKaeYMnlnyaIkRVVxoWiUx374jsLo/kGcqaxSzSd/+iGJkdVMwv8F6CUi3UTEDUwAPip+gIi0lfj+YCIyNH7d3TVw7aTx+Dzc+eaNXHrfeThdJWfGXG4n/UZYXQn37sxh15bdCXOQG3/fwh2jH2Dj8i3EoiaRUIRZb37Lfec+VmfvQavHzLJGsmIl/WoQEV46/UyuHTKMjunptElJ5aJDBvHBuROrPeeslLKdb6+M7fn5CVMEAOFYjI05OdU6d13YkpdrG39MKeZv22rzTN2p9hy+UioqItcBXwAO4BWl1FIRuSb+/HPAOcAfRCSKNWyZoKr7XVEPBAMh/nff+wnTMaHCMK/d/Q4blm1i1by1YAhtOmdy++Tr6TPE6qv93r8/TlitGw5GWDhrCdvW7aBdtzZ19j60+ke8o1GReaBKjfJVFFyDy3ydCv2Eyn8comvB2Q1JvQnxDE84zuN0cu3Q4Vw7NPG5qticm8PdX8/k243rcRgGY3r25u/HHl+lbpMD27Yt2pqxOL/TxYgGsOtUK7+fqGk/7dYhre6qh+zUyC3k+DTN9FKPPVfs708DT9fEteqTjcs3YzgSPyRFw1FmvDYbpVTRzd3NK7fy55F/54SLjmHnhl2sW7LR9savy+Ni29osnfCbOt8ZUDgFIiuwxkgG4Ib0OxHDvs2xCn2Lyr4WiO/NEFmAyr4KWjyFeI6ttVDzw2HOfOd/ZAeDmEoRi8X4dNUKlu/ayfSJF1d68+/uLVoyqntPvly7umhaxO1wkJmSwhm9D6qNt1Cj0j1eRvfszeerV5Zo+eBzOrn2cLt6lrpTv2qGGpjmrZsRDdvfbC2e7PcJFoSY/sJXKFNhOOx/CMLBCF36dbR9Tms6RNzQcjIEP0cFvwSjBeKfgLjslrhYVO5DFCX7IkFU7kNIZu0l/GkrlhOIREqMyiOmyebcHH7cvKloVB4zTZbuzMIhQt/M1rY3jvd5bNRo3lyyiDcWLWB3oJAUl4uDWmWyOGtHQqVORS3fmcXcTRtp5vVyco9epNfido8PnzAKhwifrlqBIYLb4eDOo4/j6C5da+2aFaETfjW07tSKjr3bs3bxhhJ1SU6XEzGwHcHva6VsxhI/snr8bkZOOIqMdi1qLWat4RBxg+8MxFfBNh2xtWU8vg6lVKVH2hX1+66dJW5QFl1WKVZn72FEp878uHkT1332MaFoFAWkuT08f9pYDmnT1vacDsNgwsEDmPb7Mrbk5pEdLGRLXi5zNqzjT0NHcM2QoRWOTynFbV99wSerVhAzTVwOB//4ZhavnHFWlX95HIjH6eTRUaO557gTyAkGaZOaitNIfieb5EfQgH039Sc2r9qWUIR61FmH20712HG6HPhSvWS0b8lFd4/nxuevqoVItSbByLB/XFrWWrIH6NsqE59ND3pDhF4tM9gVCDDpo6nsKSykIBIhEImwoyCfi6a+Z9uDZp9PV63k9127ijYVV0BhNMoTP32f0JRsb7CwzEZlX6xZzfRVKwlGo0RMk0A8hgs+mELPJx/jsBee4T8/fl/mvHt1pLrddEhPrxfJHnTCr5bn//w64cLE9goblm9h4HH98fgO3J61ZfuWfJT7Bm9vfp7zbh2nF2ppVZdyDVB6pyYfpF5dq5cd26cvKW4XRrElOS7DQddmzRnWoSMfrViOabN2IKZMvli9CoBAJMKHvy/ntYW/snyXtf5mxppVBKKJvxBchoOftmwGYGPOXs6a8ibDXnqOES+/wKlvvs7K3btKHP/ussW254kphQnsDQZ54ddfuGvWl1X+N2go9JROBXzz7g+8++g09mbl0vOwbhwz/ggOP2UQ29dl2R6/afkWnv3lEd5//BOmvzSTSDCCy+Nix8adxCL7b+J4/G7GXntKXb0NrQFRoR9QeQ9DdDUYLcA3AVL+iFHOSFH8F6JUARQ8b1XziBNSrkT8l9RqrCluN1PPu4B/fDOLb9avw2EYnN77IO48+jhEhF2BQImbl/tEYjF2Fwb4bcd2Lp76LqZSRE0TEWF0z94083gwRBIqdvZNCYWiUca/+za7CwNFx/y+ayfnvfc2cy69krT4HH3MZlVxacFolGkrlvOXI44mw99496HWCf8AJt//Hu888iHBAmtB1I4NO5k79edyX9OibXOcLifn3TqO824dB0Bedj5/Hf0A65ZswuE0iIajHDF2KGffeGptvwWtgVHheajsqym6AWtmQcGTUPAaKuMVxGW/T7KIIKnXoFImgZkNRnPrPkAd6JCWzgunjbN9bkSnTry+aEHC9I3TMBjaoSNXfvwheeGSn5S/WL2KPx4+DI/DkXB/wOdyMrxjJ2asWZ1ws1hh1et/vPJ3Jg4YCMBZffsxb+sW21F+cW6Hgw05e3XCb6oKcgO89eBUwkH7rph2vH4PF9x1dsLjaS1SeerHh1i9cB071u+k+8AuuvRSs6Xy/k1itQ1ALmr3JdB6DmKklfl6ERc46s/2ekd26sKgNu1YsH1rUfL2OV2M7NYNBQQiiT9fgWiE7zZu4ODM1swrtljJ53Tyf2PPxmkYbM3LJRxLvFlcGI2yKXf/Aq1Te/Xh01UrmLtxI4FoxPZTA0AoFqNzs+bVf8P1mE745diwdBNOt4Ow3c9eKQ6XA6/fw4V/O4cxV5xY5nE9B3Wj56BuNRil1uhEV5fzZAyCn4J/AiqyFFX4IagI4hsDrsNr9eZsVRkivDr2LN5dtoQPfl+GQ4TzDh7AuIP6sXD7NuzbccH6vdnsDSX+8P24ZTN9M1vTt1UrHIZBpNTN1hSXi4Ft2hV97TAMnjt1LD9v2cy3GzcQNU1e/20BwWK/LLxOJ2N69qZVIx7dg074Zdq7M4dfZy4mWFCBbA8cfEQf/vnl3bY7YGlapTi7QGRvGU8GwdyFmf9cvLlaGFCo4FTwng7p91U56RdGIny9fh3BaISjOnehdYr9Aq+qcDkcTBwwsGiaZZ8BrdvYVrB4HQ72BAsJl5r7L4xGeenXX0h1ubj/29kJz7sNB+3T0jmxe48Sj4sIwzp2YlhHq+3XqB49uXv2TJbvzCLF7ebCAYO4qY7bKieDTvg2fvh4HvdP+DexSMy2Xt5O266tdbLXaoSk3oDKvgYrmZd+0o8yukDuX4FijfZUIRR+DL6zwF35jbN/3LyJKz+eap0Kqzf+TcOP4OrBFa93rwqXw8GTo0/lmk+mYSpFKBbD73IxsE3bokqc0nYFAtzzzayEuX23w8ElhxzKdUOHH7AM8rB27fnk/ItqdX1CVSzJ2sE7SxeTGwpxco9ejOrRs0ZLOnXCL6WwIMiDE/9DuLDie2KKCOfdNq72gtKaFPEchWr2b8i5hRJJHQ84DwGVi/00SBAV/BIplfBVdC2qYDLENoF7BOI/t0R7hmA0wpUff0hBqZuqT/z4PW6Hg7xQmPZpaYzp1cd2S8HqOrpzV76+ZBIf/r6c3YUBjuzUhaM6d+HEN15h/d69Ccf7XC5yQ4ldZQW4/NDBRdU5FVGfkv0bvy3goblzCMdimEoxc90a3lzcjtfGnV1jSV8n/FJ+/XIRYpT9TWA4DcxosTlDgcNHD2LXlj106tO+Xn0DaQ2X4RuF8v6KKngTCj+I7993NuKfgMp/GUgscwSHtUlKMSo0B5X9J6xPCzEI/4QK/B+0mooY1mYcczasx+7bNhiL8dB3c4iZJj6Xiwe//YYp4yfQs2UZC7yqoXVKKlcNPrzEY/849gSu/nRa0epcQwSPw0G6x2Ob8F0OB7sCBbRJrbmpqLqSEwzy4HfflChfDUQiLNyxjc9Xr+S0GuohpBdelXKgJp4Oh8HUPa8y/pYzcHldeLxufp6+gHvO/Ce3nXyf3shEqzEiLozUSzAyp2G0mob4L0Ll/QsKngXsPoE6EN/pRV8pZaJybsdqvrYvkVj3AFT+80XHhWKxMr/vo6YZr6SJkBMKcuMX1d+ruSAc5q0li7hn9kymLF1MYRmrbY/u0pW3zjqXE7r1oEuz5ozp2Zup513AyK7dbUe8MVMlfUepqvpxyyZcNosuA5EI01etrLHr6BF+KYedeEi52xd26dcRf7qfmW9+S6TYvraF+UGWfb+Cz16ayel/OLkuQtWamvAPVgdN7DbJcUPaXxFnsa3+YpvAtOudH4HQV8AdABzZqXOF2gooYPWePewMFJDpT6nCG7DaKJ/5zv8IRKIURiP4XS4e/3EuU8+7gLapiaWmA9u244XTx5V47JrBQ/loxe/kh0NFm6T4nE5uGn4EvlqYcqoLfqcrcZ9ArA92lZmiOhA9wi/Fn+bj1teuw2mzk5XH5+bKf17M+iWbCOQl7kYUCoT54rXZRV/nZefz8XMzeOPed/lt9tJqbwyhNV4qPA9z9/mYOwZj7hqLCs5KPKZwamJ/fAA8kP4ARsr5JR8WP/ZTP4Dsn/Zo6fNzx1HH4nU6izpYljcxKeU8uy0vjylLF/PJyt8pCCfedL5z1pdkB4NF/XECkQi7AgHumzO76JhdgQA5wbKr49qlpfHJxIs4p19/OqU3Y3C79jxxyqlccdiQcqKu34Z37ITTpv+W1+nkvIMH1Nh19AjfxjHnjKDfiN5Mvvc9fpr+K4G8Qrof0oXL7j+fQ47px7rFG6CM5L1vLnTZDyu4/ZT7MWMmocIwXr+H/kcexH0f356wQ5bWtKnwL6g9kyhabBVdjtp7Iyr9fgx/8U6ZZSVvJ2IkjrjFkYlyHQKRBSVfK76EdgsXDzyUwzt05IPlSykIhwlEInyxZlWJOWUBerXMKLNW/dlffuKpn3/AEMEQA4XixdPGFbVHNpVi7qaNCYueYkoxa90almTt4JYZn7EhZy9KKQa1bcfjJ4+hvc2mIR3S0nnohFH2/x4NkMvh4NWxZ3PZh+8TVSZKQcSMcf2wERxWg/sMS30edQ4ZMkTNmzcv2WEkCIfCTOhwNXl78ks87vF7+OPjl3LKpOM5v9M17NmWnfD8NY9dwmlXn1SX4Wr1nLl7PER+S3zCaI1kfltUCKBCs1F7b7AZ5XuR1j/YJn0V24nKvhRiWwADVBh85yDpfy+3wKAwEmHiB1NYtWc3wUgUn8uJ2+Hk3fETbOfJF27fxsQPphAsVSqZ4nLzy5XX4HW6UErR55n/2E4f+ZxOHIZBfrFPBQ4R2qamMfuSSTjqSbfJ2haOxfh+00bywyFGdOxcpTYPIjJfKWX7cUcPNSupsCDIjUfeRahUl0y318Whx/fn5MtGsnbRBgptp3xCfPHqLJ3wNZSy5tFVZBlEltkfZO4BFQCJJ3L3seA5GYJfYH0acAECzR6xTfZgjfLJ+ASiiyG2A1wDEId9D/rifC4X7587kbkbN7AoawftU9M4pWevMufI31u2NGERFFifeL/dsIGTevRERDi5R09mrFldYnWs2+Ggd0Yrft9VsstlTCn2Bgv5buMGju3aNFanux0OjqvF99roEn44FGHBV4sIFoQYdHx/mrWq2T0kP3xyOptXbUtoi+z2ufj7B3/G4XQQLgxjlnUTTJdtNnnK3IvafS7EsoAAZc6Yixdkf7tjESu545+ICs22aum9pyKOdvavL/461yHW74dKMEQ4ukvXCu3SFIxGbPvTKKUIFWthcP7Bh/D1unVFo3y3w0GPFi3p2TKD33ZsT3h9TCk255W1obtWWY0q4S/7cSV3jnkQ0zRRShGLxJj08AWcdX3NdaT8+u25tj3wYxGTjcs28/Xbc/ngP58SDiWWmnn9HkZPOqHGYtEaJpX37/gUy77vEbtpVR+kTEKk5FSGiIB7EOIeVMtRVs6YXr35ZOUKwmbJUX7UNDmyUxcAft22lSs++bDEtI8C/jR0BIFIhM9Wr0zoqClQ5q5YWuU1momxcCjCnWMeJH9vAYHcQgrzgoSDEV65401Wzl9T7fNHI1G+/+gXArn2u+qYpsnX73zP1Cc/IxyMlPgZFhG8KR4GHt+fky89rtqxaA1c8DPs6+gB3NYUTsokJOUPdRlVlc1ev5ZrPv2oRLIXrAqTvx0zkhY+61PKg9/OTpjjD8di3P/tbEb37EWmPwWXsb86zut0MqR9Bwa01l1la0qjGeEv+GqRbf18JBTh81dm0XtwD5tXVcy2dTu46ei/EcgLErFplSwitO3amhmvzSYUSKyRdrodPPT5XXTs3Y7X75nCz58tIKN9C865+XQGjexf5bi0hqqscZYDMr9EjFZWi+MGoCAcZtJHUxM+oyjgoeNPYuxB+zddXxbfyaq0bfl5IDD1vIk89dOPTF+9ApfDwXn9BnBlqdW3WvU0moQfLAjZfjA2TUVBjv2ovKIeOP8/ZG/fi1lq5xyHy4Hb68aX6uWeqbdy5YCbbV8fDUdp36MN1xz6F3J35xMJRVi9YB0Lv17KVf+6iDP0Qq2mxXcaBN6hZHM0B7iHYRxgPj7ZTKVYtGM74ViMgW3a8swvP9r+3AG8s2xJiYTfyue3nY/3Oa0KIK/Txd+OHcnfjh1ZS9FrjSbhDxx5MNFwYlsDb4qHo88eXqFz7NmezZdvzGHXlj0MPLYfI04fQu6efNb+tj4h2YO1qclfXr2WwScdgsPpoMegrqz4ObGXeYfe7fnwqc/I3Z1HJLQ/xlAgxIu3vsHJlx6Hx1dzq+m0+k1Sb0KF50NsvVUmKR6QNKTZwxU+h4qsROU9COFfwUgF/8VIypWI1F7H1sVZO7jyo6kURMJFJZ19W2WWefyuQMlVvn88fBj3zfm6RJdLn9PJpYMOK1rwpdWuRpPwm2c2Y9JDE3n1rreIBCOYpsKb4qH/UQcx4owDr8Bb/O1y/jrmAcyYSThoTQN16duBO968oczKGrfXxdDRhxZ9/cfHL+XWk+4lXBgpWlXr8bu57snLeeHWN0ok+30Mh8G6xRs5aGivKr5zraERIxUyPoDw9xBdAY6O4Dm+wtM4KroZtec8UPGEagYh/1lUbBPS7IFaiTkYjXDR1HcTmpYt2L6tzNcc27lkeeF5Bw9gT2Ehz877CRSYKM7vP5AbhzX+PvT1RaNJ+ABn33ga/Y/qy+cvz6Qgt5Cjzx7OEWOH4LBpSlScaZo8cP7jRfvWAgTzg6xbsonv3v+JNl0y2bxia4nXuDwuRk44ssRj/Ub04T/f3c/ke99jzcL1dO7XkQv/dg59h/WiZdtPWPvbhoRrRyOxGi8d1eo/EQM8R1l/KkkVvAyq9L2iIBROQ6XehDha1UyQxcxat46YXamxsvrAlN4v1iHC6J4lBzEiwh8PH8akQweTVVBAK7+/wfa+aagaVcIH6DOkB32GVO4G7cblWyjISVwoFS4MM/N/33LH5Ov5ywn/IBaJESoM40v10rpzK87/61kJr+k5qBv3fPCXhMfH33I6i79dXuKmrsPloOegrrTrrqsQtEqILAJsurKKB2JroRYSfk4oWNSorLioMmnu9lIYjZSYy48pxcSp7zLh4AH8/djjS6zq9TiddGrWrMZj1A6s0SX8qnC6HChlv1DK6XbSe3AP3ljzDDNen832dVn0P/IgDhs1kO+n/UL29r30P7ovfYf1Knep+mEnHsKkhyby8h1v4nAaRCMxegzswj1Tb62tt6XVMyq6EVXwfxBdBe6BiP8ipCqbjbt6Q3QZCb11VBgcnWsk1tKGdeho2z7K63SSEwza3rgNx2K8u2wpY3r1YWiHjrUSl1Y5OuEDHXq1I7NjBltWbSvxTe3xezjtKqsNQnpGGufcZPUaX71gHZf0uI5YNEY4FMHldjJwZH/+8cFfyt3m8Mw/jeGUy49n3aINNG/djPY99IKSpkKFF6KyLwEVAaIQ+RUVeAsy3kecXSp1LkmZhCqcjtXnfh8PeI6rUNuEqujeoiXn9DuYD5YvK+p06XM66dysOVtycxI2Et8nGI0wbcUynfDriRpZeCUip4jIChFZLSK32zwvIvJk/PlFIlL5TTdrkYhwzwd/IT0jHV+aF7fXhcfvZuiYQzn58pIlYkop/nH2o+TvLaAwP0gsEiNYEGLhrCVMf2nmAa/lS/HSb0QfneybGJV7V7zp2b6pmDCofFTeI5U+lzh7Ii1fBmcvrB9hj9UQrfmjNRhxonuPO4HHTx7NsV26MrxDR+4+9nieHXNGmcm+WMQ1Gsfm3Bz+OXcO1332MW8t/q3MDVS0RNXulilWHdhK4CRgM/ALcL5SalmxY8YAfwLGAMOAJ5RSww507rrulhkORfjpk/ns3pZN/6MOouegxCZGG5Zv5rqht5e4wbtPr8HdefaXyv8Aa42bUoWoHYdh295Y/BhtFlbj3GHAmdCCoS5d99nHzFy7tkTPnH18ThevjTuLw9vXzAj/+00bufLjqURNk4hp4nO6aJ2SwofnXUAzr/fAJ2gCartb5lBgtVJqbfxibwNjgeItAMcCryvrt8uPItJcRNoppcqu6UoCt8d1wJp9azWv/YhF2dTqg7URypevf8Om37fQZ2gvjjvvCLx+XXffdDgBB/YJ36alsVIQ+hJV8BqYe8F7EpJyGWI0T3y5uGs41sp7fNQY/jvvJ15Z8Cu54ZDVDx9wOhxM7H9IlZL90qwdrN2bTe+MVvTJsG5Cm0px84zpJer4C6MRtuXl8vz8n7n1yGNq6i01WjWR8DsAm4p9vRlrFH+gYzoACQlfRK4CrgLo3Ll2bkBVR5d+HUlt7idYUHJHHo/fzahLjk04fsPyzdx41F1EQhFCgTBfTZ7DG/+YwtM/PUSLNs3rKGotmURcKN+pUPgpJVfXesF/QcLxKv9JKHiFojn6go2owmnQ6mPESNwGMNlcDgfXDzuC64cdwc6CAj5bvZLCaISRXbvTO6NyFUP54TCXT3ufpTuzMMQgpkyGtOvAC6ePZXt+Pnk2m5eHTZPPVq/SCb8CauJzoN1wt/RQtyLHWA8q9YJSaohSakhmZtmr+JLFMAz+NuVmfKlePD5rdOVN9dJnSE9OuyZxB55HL3+Wgr0FhALWD3qwIMTurdm8eNvkOo1bq3lKKVR0PSqyAqXK2I0qTtLuBvdgwAuSBrjBeyKSclXJc5p7oOAlSt6QDYO5GxV4u6bfQo3LTEnh4oGHcvXgoZVO9gD3fjOLRTt2UBiNUhAJE4xG+WXrZh79/jt8TpdtaSig6/krqCZG+JuBTsW+7ghsrcIxDUa/EX2YvP5Zvn5rLnu2ZTPgmH4cduIAjFK78gQDIVbNX5NQzhaLxvh+2i91GLFW01R0LSr7WqvNsRhW3/pmjyEe+1WjYqQgLf8PFV0LsY3g7I04bLauiywBcdksrApBaA6kXpkYi4oBktR5/JqglOKjlb8ntFgOxcs77zpmJH1bZbIka0eJxO9zOrlowMC6DrdBqomE/wvQS0S6AVuACcDEUsd8BFwXn98fBuTUt/n74tYt3sC0Zz5n1+Y9HD7mUEZdchy+lJI3hNJbpjH22lPKPY/hMMpsy+B064rYhkqpCGrPhWDuBpT1WVUFUNl/gMzPy92QRJzdwdm97JMbrbDfu9aAUr8gVGwbKucuq0UDoDzHIun3Vq22vx4wlSJis2sWUHRD+JkxpzPxgynsDlgNEaOmyZievTmv/yF1FmdDVu2so5SKish1wBdYd6ZeUUotFZFr4s8/B0zHqtBZjbXFz2XVvW5tmfPeD/zz0qeJhKKYMZPfZi9l6hPTeebnh0hpZr+NXFncHhdDRg1k3he/EYvu/0Z2e12MuuS4Go5cqzOh7+IllqWnF6KowHuQ+kcIzUKFvgMjA/GdhTgreOPS2ddaPBVdTcnE70ZSLi76Sqkgavd4MHcB8bLI0DdWj51WMxpMe+XiHIbB4HYdmL9tS4l/WUOEI+MbobdPS2fWxZP4ZctmthfkM6hNO7o0b56UeBsivYl5MZFwhPFtrkhop+z2ujj/jjMZef5RvH7PFH6bvZTU5qkcc85wzr7p1HJ/EWTv2MvNx97N7m3ZmFETMYSeh3bjoc/v0pU6DZQKvIvKvZ+S8+xx3rOsKZvoMms/WlyAA2n+BOKtWNtfFctC7b0WIr+DOAED0u9FvGMAExEHqnAaKvfv8WsUIylIs0cQ7yiUmYsKvGttkO7shfjPq/ej/5W7d3HOu28RicUIxWJ4HE58TidTz7tAJ/YKKq8sUyf8Ylb9upZbRt5juwF5p4Pas3trNoX5wRLllw6ng8sfnMi5fz6jzPOapsmCmYvZumYHPQZ2oe/w3uW2YdDqNxVdg9o1Dig9z+4H76kQ/ISEXwaShrT+oVJllCq6GVQuytEV8p+FwsnWJwtnL3D2g+CHNq9yIKk3ge901K4z478Qglg7abmQlm8irr4Vf7NJsLOggLeWLGL5riwGtG7LhP4DaOnzJzusBqO26/Abhfy9Bfz06a+2+9UC5GcXJCR7sG7Avn7PO/Q8tBsderbl588W4PG5OWLs4aQ2t0b+hmEw+KSBDD6p1t+GVgfE2QPlHQ3BL9if2D3g7ALRNdiO/FEQWRyv1KnodaxpIJVzR7ykM14KHF0J0XWAd/9jRS/ygrMXKvdhUHspmu4hDCqMyrkTafWBVVkUmAJqD+I5Ebyj6s00UGZKCtcPG5HsMBolPcIHVsxbw60n/gMzahK02aLQm+LBl+Yje/veMs/RsU97sjbsREQwHAamqbj73VtK9MvXGg+lTAh+aPXDUUHwnoakXIzK/iOE5ya+QPxIyzcQ14ByzqnA3A7iK1pkpcw9qKxjKFm/DyBWct/XmwcAFxidkMxPUVlD9vfLL8EBafdA3gPxc5qAH1wHIS1frxcLubTqKW+E37DruGqAUor7z/03gdzChGTv8rhweVyMvfYUuvQr/6bblpXbCAcjhArDFOYHCQVC3HfuYxTm2432tIZOxEB8Z2FkvIvR6mOM1KsR8SH+CSA20w+SBs6DyzyfCv2I2jkStXMUKutIzD2XoGK74mWfdklYgbS1ppDwYX1YV2CuRe0+E1Q5P9p5D2B9Mtg3+g9AdDkUflLRt681UE0+4W9ZvZ3srBzb55q3SWfyumc4+uzhbFlVdhWp4TCw+6QkhsHPny2sqVC1hsAzCrxjAQ/WIqsUkGZIi+fLrJNX0Y2o7KvB3Ip1XyAC4V9Qey5EBT4uY6RugPsQjOb/At8YrIQfH+lHfwfsXuMC16HxG8GlgyhEBauf8AsjER6ZO4dhL/2XwS88y52zviS7UA966osmP4dv3Tu1n9ZKbZaCUvCXE/9BYV7Q9hiH04Hb66Iw3+Z5pYhFbDaq0BotEUGa/QOVcimEfwajOXhGljtVogL/I3FDk6i1mUnhRuy/Pz1I6tXWytzCj0mc8rHpYOnsASlXQ84NZQSfWmaMFaGU4uIP32NJ1g5C8Xr6d5ct4buNG5hx4aV4nE0+3SRdk/8/0L5HWzLat2Tr6u0lHvf43Zxy+fF8/spMYpGyl83HojEK8+2fj0ZjDDl5UE2Gq9UTKrYdQl8DBnhOSNhWUJzdwJnYbdVWbANQVovf0r8IBFyHIul/RZw9UZFF1pSPsi822M8NzsGQ+0hiKScA8emoCgpFo6zYvYvmXi+dmzUHYP62rSzftbMo2YO1MGp3YYDPVq/ihG7deWfpYn7YvIl2qamc1fdgDm3bTles1aEmn/BFhLvfvYU/H38PsUiMcDCMw+WgY+/2DB19KP974H3Cwcr123Y4HThcDq594jLSM+pfsyutesyCyZD3CFaLKAHuR6Xfh+EfV7UTuoZC6HsSKm5sScmbq45OFUj2AGEIvkXiyN8AnJB6RZltIUp7b9kS/vHNLESEqGnSJ6MVz582lmU7s2z3vQ1EIvy0ZSP/+v5b9hQGin4hvLlkEZl+P4+ffCpHdKp/jRIbI12lE1dYEOTrN79jyqPTyNq4C5fHRSgQwuFyEg6Gy5r1SdCibTNOvfIkTrjgaDr2tumVojVoKroetet0EmvwPUjmzCotbFJmPmrXmPiq2QNNAbqRNotK3A8wc+6Gwg8p/xeGge00D05o+QZGBctFf922lYumvluiRbFDhINaZXLT8CO54fNPKCi1IYnP6eSQNm35ddtW281SfE4nH024kB4tMwAoCIcJRCK08vv16L8KdB1+BfhSvKz4ZTVZG3cTCUWJhKxv6Fi0IqOn/cyoySX/OK82QtSqQKkoRBYCJrgGVbvsUAU/x77XjUDoS9t2xwciRipkTEXlPwOhr6wbvUZ7iPxEybl5D/hOT7j5K+l/RznaQcFroPKwVveGy4iz9MV9iO0Uj71XFs4nGC35SymmFGuz99AuNZUWPh/BaLSouZlgtU/elFP2NoihWIyXF8znjqOO5faZXzBz7VpEIMPv56HjR3F0l64Vjk8rX5Ov0tnHNE2+fGMOkVD1tkvrPrBrzQSkVZsKz0NlHYnKvhKVfTUqawQqNKfq54usguh67EfKClTVb9CLIwOj2d0YredgZH6GtHwOPCMBT/xmqhfcg5G0uxJfKw6M1D9gtPkJo+0ypPU34DkeK/E7wdk7Xjlk88tOhcDZs8Jxbs/Pt/2w6zQMsoNBppwzgeEdO+E0DJyGwYA2bXn3nPNJ85TdRsSM/8K4+tNpzFy3lrBptVXYmpfH1Z9O4/ddOyscn1Y+PcKPi0VjRKtZUePxu7ns/vNrKCKtOpSZj8q+MqGkUWVfB5lfVWrqRcW2W+eKbsAas5axh6vn+KoHXIqIC2nxFCq60Wqk5uyCOHtU7LVGc6TFMygVBBVBjDSrP09oZnyh1r6U7QXvyeV29yxtZJduLC1WhbNPOBajf+s2pHs8vHHmeAKRCDHTLEr0lww8lHu/mUXQphum2+GgV0YG7y9fRrjU85FYjJd/nce/Ro2ucIxa2fQIP87ldtFjUNcKH+/xuzn0hP606ZqJL9VL/6MO4p9f3k3fYb1qL0it4oIzSNiIAAAV73VTcSr7qnj3yiAl2yYIRTc9PSeC0aLK4ZZFnJ0R7/EVTvYlXiveoh2yxNEa0v5CiTGekQap11XqnBcNHESGz4/b4Sh6zOd0csOwI0gvNor3u1wlRvXnHjyAM/v2S0g4RvzYER074zIS01FMKdbl7K1UjFrZ9Ai/mBv/exV/Pv4eIqEIsWgZo7g4h9PBuD+N4YgzDq+b4LTKUTnYlzqGUGZ2GbsS25wmujo+srebD28G5AFOCM9G7TwSmj+LeI6sYtC1R0XXQe4DlPg3MXdD9mWoVl9VePOUdI+XTyZexCsL5vPVurVk+HxcfuhgRnYtp8c/VovjB44fxR+GDOPpn3/kmw3rCcWiHNO5K38+4ii8TlfC6B7AbTgY1qFmNkDXdJVOgm3rdjD1ienMm7GQrWt24HQ6CNk0VEtp5mfKthdxe3XvkfpIRZajdp9HYnMxH9L8BcRTetvlYq8Nz7f2lY2uAaN1OQ3RhITyLfEjmd8jRv3q7mjmPgiBySRUAUmKtQrYPTQpcRV3z+yZvLtsSVEFkCFCmtvDjAsvJTOlcntRNGW6SqcS2nVrwx//Y+3PsmPDTq4f8Vei0SixSHzEL+BP8/HAp3/Vyb4eE1dflG8MBD/fv9BIfOAeAeUkNxWaa+1cte8XhZlVxpEG9rW6AuE54C1/N7S6oMxcVMEL1r+BuYcySz5j9eOm6N+PPZ7eGa14ecF8ckJBju7clT+POEon+xrUJBP+jg07eeefH7Lku9/p0KsdE24bR5/DEysVXv3b2+TsyisxvSNAn8N7cPARfeowYq0qJP0h8IxEBd4HoohvHHhPLbe229rYpCILoJwktjPAum9QoYVQtUupQtTusyC2jbJX8WJVFrnrR0dXEWHigIFM1PvT1poml/A3r9rGdUNvJ1gQIhaNsX7JJn75fAF3vnUTI04v+Slo7tSfSmxNCNbP82+zlxGLxnA4HWj1l4hYVSjekyt0vFIKYmsqePayknoMPEeVcf6oNeIO/A9UPriHI2m3W20YapgKTIuP3MsrM/aB7yz7zdS1RqnJJfxX7nyTQF5h0UYmSilCgTBP/OFFhp82uMToz7CpGoB4ItELAOsVFfrBSqaxbVYiTb26UuWGYP1/VdICVHYVInAALki7DTFa2seYc0d805T4J4jQbFR4HrSajjjaoCIrIDTL6o3jPQVxdKhCHHGRH7C/7+ACIwMc7RD/heA9zYrNDEB0CUg6OPvoFa6NVJNL+ItmL03YtQogd08e2Tv20rLt/tK64yYcyZf/N5tIuNgycqeDoWMOxeHQo/v6wgy8B7n3UZTgCjdarX5bfVT50WvKFZD/NPbJsiwO8F+O+MYhLvuyXBXbZs2ll2jJoEAFUYHXrU8XgclYI3ID8v6DSr8Hw3925eIvCqkjJVom7yMupPmjJW7SmgVvQ95DIA4gBkY7aPFSxTde1xqMJleHn96qjGZmCvzpJSsrrvrnhXTs0x5fqhen24EvzUfrThnc+NxVdRCpVhFKRaxkVSJBR0EVWK0KKklSJkHKJVibivgoWq1afhRI2g1lJnsrpFVlbGQSgeB38WQfxCr/jAAhyL3Han9cBeKbEI+9OAOMVuDaP3Wpwgv2//upfGvP3Nh6VPbltns8aA1bkxvhn/vnsTxzwysEC/aPtNxeF0efPRyvv+Ty75RmKTy34F/8+tVi1i3eSMfe7Rg6+lA9d1+fxDZiXyMfg9APlT6diIGk3YxK/SPEdqKMlrD7bKs3fVmcPQ7co8fRuYybufGdqhKasWGNuIOzwX9Wxd/Avpc6O0GL/6JybgUzDzCtqZoWT5WouVeBN0i8SW1a1UnRpeDqX+lra/VXk0v4J182ki2rt/HBfz7F6XERDUUYfNJAbihj1G4YBkNGDWTIKF05UC8ZLcruYVOFzpX7iHjB2QkKp6NiW8u6OOBB0u858AkdncHRNt77vviFXFZSja0kocxTUa17ReI5AjLnWL8UxQvRNai9t6Bim8DVH0m9HmK7Eq8LgAHm3qpfXKuXmlzCFxEmPXgB5906jk0rtpLZsSWtOmQkOyytisRoifIcDaFvKVk540NSqj/1pvKfwr5M0wDv6dbN4Qo0H1P5T0FsR6lHBVKvR9xD49sLlr5OLN5ArepEDHB2xSycDjm3779GKAsV+h78E+LdREtdW0XAdUi1rq3VP01uDn+f1OYp9B3WSyf7RkCa/QvcRwJuq7Ok+CHtJsRbA83MzO1lPOFA0u+uWLJXEQi8SmJCV1D4CeIaACmXY+2D64r/1wPNHkRqoD+PUqrYxuXFrk0hRJaCox3g3f+U+CD1RsRIr/a1tfqlyY3wtcZHjFSk5fOoWJa1iYizuzUlUxOcvSGyIPFxo1nF94A1c0GV0Zs+ttk6XdqNKN9YqywTd7yLZdWnpEpQOWVPz0SXI5lzUIG3rX7+RkvEfxHiGVEz19bqFZ3wtUZDHK2rNW9ve860v6D2XE7J0bEXUv9S8Vp1ozlWL3qbG7PO/ZU91j64k6oebFkkBWudgM0iLKMVYqQgqZMgtRaurdUrTXZK5+fPFnDT0X/jgq5/4KGLnmTL6m3JDkmrh8Q9BGn5mlXKKOngPAhp/m8M/5kVer2KbUPtuQQosHnWi6TdUpPh2hJxWXP1lP7U44OUP9b69bX6o1rdMkWkJfAO0BVYD5yrVOIyRRFZj9VHNgZEy+rkVlpVumUqpQjkBnB53bg9peuQLZ+++CX/vek1QgHrJp/hMPCmeHh23iN06Fm51Zla06UiK1HBj0FFEe8piLtkJZdSUdTOE8HcQULpqLMfkn4n4q6b9tpKRVG5D0Dhe4ABYkDqdRgplRvVb9i7lwe/m83cTRvxu1xcOGAgfxgyDJdeiFhvlNcts7oJ/5/AHqXUwyJyO9BCKXWbzXHrgSFKqV2VOX9lE/7ib5fz7yv/y7Z1WRgiHH3OcG7471X403xFx0QjUc5pPYmCnJL7eBoOg+MmHMkdb1xfmRC1JsoseBnynsCaJjEBL/jHY6Tv34JQhWaj9t6UsOsWeCHtZoyUS+su4H0xmQVWH3xH20rv77szUMCoN14lLxzGjOcNr9PJCd2689To02sjXK0Kykv41Z3SGQv8X/zv/weMq+b5qmzzyq3cMfoBNq/cRiwSIxKO8u37P3LPWf8scdyODTsTGqIBmDGTJXOW11W4WgOmYlsh7z/sXxkbr3gJvIsK/7b/wNiWMm7WBuN749Y9MVKsXbSqsJn7G78tpDAaLUr2AMFolK/WrmFTTk5NhqnVkuom/DZKqW0A8f+WdcdMATNEZL6I1Epfgg/+8ynRcMmbUpFQlGXfr2Tzyv0LZ5q1Si9zN6tWHe2bXmnaPiq6Md5u2e6GbRAVmrH/S2d/++PEj1SwJbGKbcfM+xfm7gsxc++z9ritJUopzII3MLOOxtzeH3P3Oajw/KLnF27fZr8rlcPByt2V+vCuJckBE76IfCUiS2z+jK3EdY5USh0GjAauFZFjyrneVSIyT0Tm7dxZ8Y0Z1i/bZJvInW4n29bt38QitXkKR501DLe35Py+x+/h/Dsqv4RdaxpUdC3mzlNRu06FguewrbjZ1zFzH9ch4B6EVVdf9CAYmeA98KbcKromfr3XIPIzBN5C7T4DFVlUnbdS9vXyn4S8R+P3HMIQWYTaczkqsgSAXhkZtvvORkyTzs2a10pMWs06YMJXSp2olOpv82casENE2gHE/2u7PZBSamv8v1nAVKDMLYeUUi8opYYopYZkZmZW+I30P/IgXDY3acPBCN36dyrx2M0vXsMR44bi8rjwpnrxp/u46l8XcfjoQRTkFOimUVoJSoVRey6A2GqsRB/Bvh2BA/GdVvSViCAtXoSUq6wOlEYr8E1AMt6t0JSKyn3QamhWVE4ZBRVA5dxdrfdjxnZj5j+Fmf8CplkQf49BKHiFxC6hQVTekwBcOvCwhJuzbsPBoDbt6JWhFzA2BNWtw/8IuAR4OP7faaUPEJEUwFBK5cX/Pgq4t5rXTTDuT6P5+LkZRCPRovbHHr+b4847MmE1rdfv4c43byQvO5+cnblkdm7Fe49+xFkZlxEuDJPaIpUrHrmAky+p3rJ2rWFQ5h5r4VFkkVV26T8fcbTZf0BoNqgg9kl+XzdNE9L+nLDyVsSNpP0J0v5U+cDCP9tfM/o7SoWrNA9v5jwEha/ufyD/Ucy0uxDPMSBiczkF0d8B6NSsGf87czx/nfUlK3fvwmEYnNarD/ccd0Kl49CSo7pVOhnAFKAzsBEYr5TaIyLtgZeUUmNEpDvWqB6sn4w3lVIPVOT8la3S2bpmOy/dPplfv1qMP93HuD+N4eybTj1g7/o37n2Xd/45jVBg/8d0j9/Nba9fz9Fnlb3ZtdbwqehG1O6z4wk9hNWewYW0fAtxHWQdUzAZlfcIttM4rhGIbzR4jkMcbWs0NnPHsDI2Y3EjbRaV6HpZofOF5kH2RPsnM2bA7tOxfY/uIzFavlriocJIBJfDgbOMTYK05Km1sszaVpU6/MqKxWKc1fIyAnmJG150PbgTLy7+d61eX0suM/tqCH2DVVpZjGsQRsYUAFRkGWr3BBJ64YgfafZIhbdQrHRseU9AwculrusB3ziMZvclHK+Cs6xfTLENYLS26uz95+4/3+5L4jth2fBNsDpqBt6h5LSOF2n5KuIeXBNvSasDtVmW2eAV5gUJh+z3/czapCsPGr3Q9yQke7BuWCrr+0Jc/cBzNNaGKPt4wNENPLU3nSGpfwTvCda1JA3wgnsokv7XhGNVaA5q740QW4fVz3475D6AWTC52EG5ZV/MzEHSboOUSfEeQQKOLkiLp3Wyb0SafC8df7qPlHQfObvyEp7r0k9v8dboiReUXcWNE6vqJn5Y8ydQgXeg8B2rdbDvdCTlMkRq70dIxIU0fxwV2wLR1eDoiji72B6r8h4jsRtnIeQ/ifJPtKZ/vKdB/lL7i/nPRcSBpF2PSv0TELVaMmiNSpMf4RuGwaSHL8BTarcrj8/NFQ9fmKSotDrjG0/JskkAN/hOKzFHLuLESLkAo9VHGJmfYaT+EREfdUEcHRDPsWUmewBi6+0fV/mg4qvK/ZdZJaGlOftheI7cfz0RnewbqSaf8AFGX34Ct752LZ37dsCX6qXv8F48+NmdHHJMv2SHptUySbsRPMMBb3wqwwuuQ5C0uw7wSntKxawbwXW9W5Sjs/3jkmLtD4A1uKHVN+CfZCV+ox2k3gwtP6jDQLVkavI3bbXGS6mIdUM2ts1aBOU6pMyWxiq6Oj5t0gVx9bUeM3Mg/KvV+9416IBVMWbhp5B7b7ziJwaeY62bukYF++ZXgwp+jdp7AyWndXzxnj2X1Pr1tfqjvJu2TX4OX2ucVHQjas9Eq3GZigIGuIdAi//a1q+LsycUq6E3C16BvMetPWdRIM2h5auIs6v99cK/Qs4dlEi4oW9Qe69HWr5Sk2/NlnhHopo9CvmPQGyTtcgr5VrEX0YZptYk6YSvNUpq703W7lfFK3DCv6AKXgFHeytBO7og/nEJ2wiq8M/xTpih/Td0VcDaCCVzpu2nBFXwIok17GHrmrFtiKP2224bvlHgG4VSquKbs2hNik74WqOjYrsguoLEcsugVbUi7viNTC+q4AlU2j2Ib0zRyF8VTCaxxYACtcdajVuq7z0Q36rQZnpUXBDLiu8bWzd0stfKom/aao1QFPtulvHn9lWtELT+nnsbKmsYZiDeGaTMG65GvLeNDfcwbMdPKgrOHhUNXNNqlU74WuNjtAFH+0q8QFlz/bl/szpDekdRcpHVvsOi4LIZ3QOSckWxvWP38UHq1XVy01bTKkInfK1WqdCPmHuuwtw1DjPv3yhzT61fU0SQ5o/FE/C+fVz9HHgGM4wqeB3xnwPOzuxP+mKdJ+32MpO3ONoirT4E3zgw2oLzYKTZgxip11b/DVWDMnNRhZ+igp+hzDI+nWhNhp7D12qNWfAW5D1EUeVKdDWq8ANo9RFi1O5mM+LqD5kzUYFpENuCuA+zSi8LXiJxRWpRxGDuQMQLGe+iAh9CaAYYGYj/AsQ9qPxrOjogzR6q4XdSdWbhx5DzV9i3GlhFUWm3We9Fz/M3SboOX6sVSgVRWcNAlb756YaUyzDSbklCTGFU9lVWbb1t0vdC6o0YqZfXdWg1TsW2oXaOwrb7pdERafEc4upd53FptU83T9PqXmQFJeez9wnHu1PWPRE3RsvXkIzJ4DkOKF6P7wFHJlKsu2SDFpyOff9+wNyM2nMhyraHkNaY6YSv1Q6jpdVkzPa5iu9kVhvEdQhGixeQ5k+B+whw9oXUa5CMDxvNDVZlBrCqlcoSgeDMugpHqyf0HL5WK8TZCeXqB5HFlEw8PiSlfkyZiHck4i1/VzMVWQrRleDoXm5rhvpGvCNRBS+RuJ4gTkXiC9O0pkQnfK3WSPNnUXv/AJHl1gIkFYO0m5FinRnrK2UGrPn+yOL41n8KnL2s9gpGWrLDOyBx9Uf5xkHh+0DY5ggDdJ/7JkcnfK3WiCMDyZiCim4Eczc4+yCGP9lhVYjKfwwiv2G1V4g/GF2Oyr0faf5IMkOrMEm/B+U9GfbeDCoHiMWf8YHnaMR1cDLD05JAJ3yt1omzM9a2xw1I4VQSK1wiEPwEpR5uEFM7IoJ4jkC1/gZV8D8Ifgi4wHeutdZAa3J0wtc0O8puGgSsUbKi7NYN9Y+IB0m9HBpBualWPbpKR9PseI4i8cdDwDX4gH3xNa2+0t+5mmZD0u4Eacb+1gxekDSk2b3JDEvTqkVP6WiaDXF2gswZqMD7EF0MzoMQ//habwmhabVJJ3xNK4MYzay5b01rJPSUTjGF+YU8d8trjG8zibMzL+fJa18kL1t3GNQ0rXHQI/w40zS5ZeQ9rF+ykUjIWhn62cuzWDBrCS8uegynS/9TaZrWsOkRftyCmYvZvGJrUbIHiIaj7N6yhx8+0h07NU1r+HTCj1uzcD3hYGKzr8L8IKsXrEtCRJqmaTWrWglfRMaLyFIRMUXEtv9y/LhTRGSFiKwWkdurc83a0q57G9w+V8Lj3hQP7Xq0TUJETYMys1GxLOrzvgya1lhUd2J6CXAW8HxZB4iIA3gGOAnYDPwiIh8ppZZV89o1avjpg0lJ9xMKhDFjJgBiCG6fm2PHD09ydI2Pim1H7b0JIouwVq76UZ6jkZSLEfehyQ5P0xqlao3wlVLLlVIrDnDYUGC1UmqtUioMvA2Mrc51a4PL7eKJufdzyDH9cLgcOFwO+g3vzRNzH8CXarOhtVZlSsVQeyZCZCEQwWqfnAuhT1F7LsHMrT/bBGpaY1IXpScdgE3Fvt4MDKuD61Za686Z/Gvm3yksCIJSOtHXlvAPYGazv3tjcUEIvIXyjUVc/eo6Mk1r1A6Y8EXkK8BuEvtOpdS0ClzDrstUmRO2InIVcBVA587J6bDoS/Ee+CCt6mJbQZnlHBBGBWfqhK9pNeyACV8pdWI1r7EZ6FTs647A1nKu9wLwAlibmFfz2lp95BpAOb/zAQci7nKe1zStKuqiLPMXoJeIdBPrp3gC8FEdXFerp8TVFzwjAE8ZRxjgHV2XIWlak1DdsswzRWQzMAL4VES+iD/eXkSmAyilosB1wBfAcmCKUmpp9cLWGjpp/jSkXg+SEX/ECeIDPJB+V3zTFE3TapLU5/rnIUOGqHnz9CrXxk6ZeyH0tTWv7zkOcWQc8DWaptkTkflKKdt1UbpBjJZ0YjQH35nJDkPTGj3dWkHTNK2J0Alf0zStidAJX9M0rYnQCV/TNK2J0Alf02qJUhGUGUh2GJpWRCd8TathyszH3HsLascgVNZgzF2no8K/JTssTdMJX9Nqmsq+CoJfYHUCjUF0BSr7ElR0c7JD05o4nfA1rQapyEqILAHCpZ4IowKTkxKTpu2jE76m1aTYRhC79YxRiK6q83A0rTid8DWtJjl7g0rcGxk84BpU19FoWgm6tYJW7ykzAMFPUJHF4OyB+M5EjGbJDsuWODujPCMhNBsIxh81QLxIygVJjEzTdMLX6jkVy0LtPhvMPCAAeFH5T0PGO4izR7LDsyXNH0MVvACBN0EFwH0UkvYXxGiZ7NC0Jk4nfK1eU3n/BHM31r63AEFQIVTOnUjG28kMrUwiLiT1Wki9NtmhaFoJeg5fq99CM9mf7PdREFmIUqFkRKRpDZZO+Fo95yrjcQP97atplaN/YrT6zTeOxK0QndZGKVLWLwNN0+zohK/Va5J6I7gOjm9/6AVJAUdnpNn9yQ5N0xocfdNWq9fE8EPLtyCyEKIrwNEZ3MMR0WMVTassnfC1ek9EwH2o9UfTtCrTwyRN07QmQid8TdO0JkInfE3TtCZCJ3xN07QmQid8TdO0JkKUUsmOoUwishPYUIuXaAXsqsXz17SGFG9DihUaVrw61trTkOItK9YuSqlMuxfU64Rf20RknlJqSLLjqKiGFG9DihUaVrw61trTkOKtSqx6SkfTNK2J0Alf0zStiWjqCf+FZAdQSQ0p3oYUKzSseHWstachxVvpWJv0HL6maVpT0tRH+JqmaU1Gk0/4InKfiCwSkYUiMkNE2ic7pvKIyL9E5Pd4zFNFpHmyYyqLiIwXkaUiYopIvax8EJFTRGSFiKwWkduTHU95ROQVEckSkSXJjuVARKSTiHwtIsvj3wM3JDumsoiIV0R+FpHf4rH+I9kxHYiIOERkgYh8UpnXNfmED/xLKXWIUmoQ8Alwd5LjOZAvgf5KqUOAlcAdSY6nPEuAs4A5yQ7Ejog4gGeA0UA/4HwR6ZfcqMr1GnBKsoOooChwi1KqLzAcuLYe/9uGgOOVUgOBQcApIjI8uSEd0A3A8sq+qMknfKVUbrEvU4B6fVNDKTVDKbVvk9cfgY7JjKc8SqnlSqkVyY6jHEOB1UqptUqpMPA2MDbJMZVJKTUH2JPsOCpCKbVNKfVr/O95WMmpQ3Kjsqcs+fEvXfE/9TYPiEhH4FTgpcq+tsknfAAReUBENgEXUP9H+MVdDnyW7CAasA7ApmJfb6aeJqWGTES6AocCPyU5lDLFp0gWAlnAl0qpehsr8B/gVsCs7AubRMIXka9EZInNn7EASqk7lVKdgP8B1yU32gPHGz/mTqyPzf9LXqQVi7UeE5vH6u3IriESkVTgfeDGUp+m6xWlVCw+rdsRGCoi/ZMcki0ROQ3IUkrNr8rrm8SOV0qpEyt46JvAp8DfazGcAzpQvCJyCXAacIJKcl1tJf5t66PNQKdiX3cEtiYplkZHrF3m3wf+p5T6INnxVIRSaq+IzMa6V1Ifb44fCZwhImMAL5AuIpOVUhdW5MVNYoRfHhHpVezLM4DfkxVLRYjIKcBtwBlKqUCy42ngfgF6iUg3EXEDE4CPkhxToyAiArwMLFdK/TvZ8ZRHRDL3VbuJiA84kXqaB5RSdyilOiqlumJ9v86qaLIHnfABHo5PQSwCRmHd/a7PngbSgC/jpaTPJTugsojImSKyGRgBfCoiXyQ7puLiN7+vA77Auqk4RSm1NLlRlU1E3gJ+APqIyGYRmZTsmMpxJHARcHz8+3RhfFRaH7UDvo7ngF+w5vArVe7YUOiVtpqmaU2EHuFrmqY1ETrha5qmNRE64WuapjUROuFrmqY1ETrha5qmNRE64WuapjUROuFrmqY1ETrha5qmNRH/DxmCvsGq0zvVAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.cluster import KMeans\n", "from sklearn import datasets\n", "from sklearn import metrics\n", "iris = datasets.load_iris()\n", "datos = iris.data\n", "etiquetas = iris.target\n", " \n", "k_means = KMeans(n_clusters=3, max_iter=2000) \n", "k_means.fit(transformada)\n", " \n", "predicciones=k_means.predict(transformada)\n", " \n", "score=metrics.adjusted_rand_score(etiquetas, predicciones)\n", "\n", "print(score)\n", "plt.scatter(transformada[:, 0], transformada[:, 1], c=predicciones)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Componente pca 2')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.preprocessing import MinMaxScaler\n", "escala=MinMaxScaler()\n", "escala.fit(iris.data)\n", "escalada=escala.transform(iris.data)\n", "pca.fit(escalada)\n", "transformada=pca.transform(escalada)\n", "mglearn.discrete_scatter(transformada[:,0], transformada[:,1], iris.target)\n", "plt.legend(iris.target_names, loc='lower right')\n", "\n", "plt.xlabel('Componente pca 1')\n", "plt.ylabel('Componente pca 2')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Componente pca 2')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "escala=StandardScaler()\n", "escala.fit(iris.data)\n", "escalada=escala.transform(iris.data)\n", "pca.fit(escalada)\n", "transformada=pca.transform(escalada)\n", "mglearn.discrete_scatter(transformada[:,0], transformada[:,1], iris.target)\n", "plt.legend(iris.target_names, loc='lower right')\n", "\n", "plt.xlabel('Componente pca 1')\n", "plt.ylabel('Componente pca 2')" ] } ], "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": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 4 }