{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Dimensionsreduktion\n", "\n", "In diesem Beispiel wollen wir eine mehrdimensionales Daten set (64 Dimensionen) in seiner Dimensionalität reduzieren um es in 2 Dimensionen plotten zu können. Wir nutzen ein Datenset, das handschriftliche Ziffern in Form von 8x8 Feldern darstellt. Ein Beschreibung des Datensets gib es bei [scikit-learn](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_digits.html#sklearn.datasets.load_digits) und im \n", "[UC Irvine Machine Learning Repository](https://archive.ics.uci.edu/ml/datasets/Optical+Recognition+of+Handwritten+Digits).\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Wir laden das Datenset\n", "from sklearn.datasets import load_digits\n", "digits = load_digits()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Wir wollen mit einer Pricinple Component Analysis (PCA) die\n", "# Reduktion durchführen, laden dafür die Klasse und erzeugen\n", "# eine Instanz davon. Wir geben an dass wir danach nur zwei Dimensionen\n", "# (\"components\") erhalten würden.\n", "from sklearn.decomposition import PCA\n", "pca = PCA(random_state=1, n_components=2)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Wir können die Tranformation mit der Funktion\n", "# \"fit_transform\" durchführen.\n", "pca_result = pca.fit_transform(digits.data)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1797, 2)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Wir erhalten eine Matrix mit der gleichen Anzahl an Datenpunkte\n", "# aber nur zwei Spalten.\n", "pca_result.shape" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Wir können nun die beiden Spalten der resultierenden Matrix \n", "# plotten.\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "fig, ax = plt.subplots()\n", "plt.scatter(pca_result[:, 0], pca_result[:, 1], c=digits.target, cmap=\"Set1\")\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Wir können das gleich Vorgehen mit dem t-SNE-Verfahren durchführen\n", "from sklearn.manifold import TSNE\n", "tsne = TSNE(random_state=1, n_components=2)\n", "tsne_result = tsne.fit_transform(digits.data)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAD8CAYAAADQSqd1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOydeXhU1d3HP+feWbJvJCFACCFh38IOyqYIikpxqVrrUpdardalfdu3Vltta/dN27eLSrWtrdR9QwUFAUFE9kVAwk4gQPZ9m+2e949JIIHJZJKZycwk5/M8ecjce5ZfwuQ7557zW4SUEoVCoVB0L1qoDVAoFIreiBJfhUKhCAFKfBUKhSIEKPFVKBSKEKDEV6FQKEKAEl+FQqEIAUp8FQqFIgAIIR4SQuwRQuwVQny7o/ZKfBUKhcJPhBBjgG8AU4E8YKEQYqi3Pkp8FQqFwn9GAhullA1SSiewFrjGWwdTt5jlI6mpqTI7OzvUZigUighg27ZtZVLKNH/GGD16tKyrq/Op7fHjx/cCTa0uLZZSLm7+fg/wCyFEH6ARuALY6m28sBLf7Oxstm71aq9CoVAAIIQo8HeMuro6fvjDH/rU9p577mmSUk72dE9KuU8I8RtgJVAH7AKc3sZT2w4KhUIRAKSUz0spJ0opZwMVwEFv7cNq5atQKBSRihAiXUpZIoTIAq4FLvDWXomvQqFQBIY3mvd8HcC3pJSV3hor8VUoFIoAIKWc1Zn2as9X0bOpL4OCT6C2KNSWKBRtUCtfRc/DXg+7X4K1P4WawrPXMybAXZ+ByRo62xSKZtTKV9GzqDkJfx4G79/bVngBinbAX0fDgWXg8uoFpFAEHbXyVfQslj8EdcUgXZ7vVx6GV2+AmGS49SOoOw1NVVBf4r7XdzyMuAosMd1rt6LXocRX0XMo+hzy32lfeFtw1kNNPfx1hOf7uhVufAuGXh54GxWKZtS2gyLyKdkHT2XDM3kgA7Cd4LLBK9dCQ7n/YykU7aDEVxHZHP0Y/jYaqv2ONG2Lswm2Px/YMRWKVijxVUQ2r98IyOCM/dHDcHB5cMZW9HqU+CoiF8MF9cXBnePla9yuawpFgFHiq4hchAaI4M5huODQB8GdQ9ErCYj4CiGShBCvCyHyhRD7hBAXCCFShBArhRAHm/9NDsRcil6K0waG0faaEJA5PbjzSqd7/1ehCDCBcjX7E/CBlPI6IYQFiAEeBVZJKX8thPgB8APg4QDNp+gtHP0Yln0LyvLdLmADL4SceZA1E0r2wMgvQ9l+aKoItaUKRafwW3yFEAnAbOB2ACmlHbALIa4CLmpu9gLwMUp8Fb5ir4e1P4cNvzvrt+tshKOr3F/nYkkEe3VwbDk3Uk6hCACBWPnmAKXAP4UQecA24CGgr5TyNICU8rQQIj0Acyl6OlLCul/AmsfplBdDsIQXwHxOtNvBD2HfGxCbBqNvgIy84M2t6LEEQnxNwETgASnlJiHEn3BvMfiEEOJu4G6ArKysAJijiGjevRu2PxdqK1ohIDbD/e2hFfDSl8BlP3t7/W/hwu/C/F+HxjxFxBKIA7dCoFBKuan59eu4xbhYCNEPoPnfEk+dpZSLpZSTpZST09L8qoWniHRKvoCd/w61FW3RzNB3LFQcgSWXtxVecB/IbfwjnNoWGvsUYYMQ4jtCiL1CiD1CiJeEEFHe2vstvlLKIuCEEGJ486VLgC+ApcBtzdduA97xdy5FD+foaoIWMNFVrPFQ+Bl88BBIw3Mblw32vta9dinCCiHEAOBBYLKUcgygAzd66xMob4cHgCXNng5HgDtwC/urQoivA8eB6wM0l6KnEp3sXmkajlBbcpbGclj2ADgavLfT9O6xRxHOmIBoIYQDt8fXqY4a+42UcifgqaTyJYEYX9FLGH4V6Pd1UHA7BDg6iHATOozxushR9HCklCeFEL/HvdBsBFZIKVd466NSSirCB2sc3PIhvLQIGsoIuy2I9pj1iHtfWBFxpDqj+FrRMJ/a3gOpQoitrS4tllIuBmgOIrsKGAxUAa8JIW6RUr7Y3nhKfBXhxcDp8L3TcOxjWP04FG4ItUVt0a3uPV4EJGXDl1+CgdNCbZWieyiTUnp6wgeYBxyVUpYCCCHeBC4ElPgqIghNh5xL3F/LHoStz4TPPrBmhkdqwGQJtSWK8OI4MF0IEYN72+ESYKu3DiqxjiK8mf1DiOkTaivO4qiDtU+E2gpFmNHsavs6sB3YjVtbF3vro8RXEd7E9YVLfknQs5d1hl1h5ousCAuklD+WUo6QUo6RUt4qpbR5a6/EVxH+FG4mrA7fNHOoLVD0AJT4KsIbR1P4rTSnPxRqCxQ9ACW+ivBm35uhOWyzxMPcX55zUbhTWU65r/vtUfQ4lLeDIrwp/SI04muNh9mPwOR74LMnwVbjzmCWNcOdxF2h8BMlvorwJm0UWOLAXteNk2ruJO0AMSlwyc+7cW5Fb0FtOyjCm5HXQlQyiG5aJwgTJGbCnMe7Zz5Fr0WJryK8MUfBNzbBiKtAt7gjzEZeB9O+7YPXgZftgcHzILE5f3RUMgyYBsOugsv/CPfthdjUgP0ICoUn1LaDIvyJ7wdfeR2cdlj1KGz5q49FLTWYeCec+AwqDrhz8Zqi4ILvwtyfufduDZfKSKYICUp8FZHDG1+FfW8D7eTVPQ8X7F4C1gS4dSVkzz6/iRJeRYhQ2w6KyKDyKBx4D9+FtxlHA9QVwZIroM5jMRWFIiQo8VVEBkW7wOVHol/pgs/bTTClUHQ7SnwVkcGaH9PpVW9rnE1Q67WwgELRrSjxVYQ/p7ZByef+jWGOhcEXB8YehSIAqAM3Rfizy8/tAqFBRh4MWRAYe3oIzqMVOJfuhxobRJvRLx6MeVL/UJvVa1Diqwh/opP96581G279QHk2tMK+4hDGxsKzFxocuN4/ABWNmOfnhs6wXoQSX0X4kzLEv/5FO8BkDYwtPQDXieq2wtv63mcnkElWRGUTWkYc2sg0hFl9aAUDJb6K8Cch07/+tmowDNDUEQeAc8Uhr/eNDw+BAS6LDquPYr1rIiJOfXh5QwgxHHil1aUc4HEp5R/b66PejYrwZ9Asd1hxV0kfo4S3FbLaa4GFs04ldhfU2LC/ux8pwyiZfRgipdwvpRwvpRwPTAIagLe89VHvSEX4IwTc+DZderuaY+DyPwfcpEhENjowSuoR/eI61+9gBbbffYrrVE2QLOtxXAIcllIWeGsUsG0HIYSOu1rnSSnlQiHEYOBlIAV3UblbpZT2QM2n6GUMXQDfL4UNf4CqI2BvgiMfgrPRc3tzLAy+BC56HPpP6l5bA4jhMjC2n0Y2ONBGp6GZdYi3IDqxkpdOA/vSfOSethF+TkNyoqqRJqdBRryV5GgviYqanDie2w73T0VPienqjxN2VDYe56299/raPFUI0boi8WIppacimTcCL3U0WCD3fB8C9gEJza9/AzwlpXxZCPEM8HXg6QDOp+htxKTAvF+4v5cSPl8CG34P9SWQMR5GXAvRSe5qE/EZobU1ADjzS3G+tvdM+TrX2mPubzTQp2Vinu/bQaTzw4PnCW9Fg50PD5QiJRhSYtY1pgxMZHByDMJLsnjHfz9Hv396V36cnkCZlHKytwZCCAuwCHiko8ECIr5CiEzgSuAXwP8I9//eXOCm5iYvAD9Bia8iUAgBebe4v3oghtNoI7xtb4Lrs0KMknqsN+d5H6e0Dte2022uSSlZdagcu8s9eL94Kxfn9kHXfKjQUdFE0y/WQqwF08ws9En9vYp1L+RyYLuUsrijhoHa8/0j8H3ObtX3AaqklC3B+IXAAE8dhRB3CyG2CiG2lpaWBsgchSKycW092WHBZnm4EuNk+/uw0jCw/8dzZGCLzuoCLsrtg1nX0ITwTUhdEmpsOFcexrn+eMftexdfxYctBwiA+AohFgIlUsptrS97aOrxrSSlXCylnCylnJyWluavOQpFz6Det+MR++t7273nXHUE6jyPM2dwCgLolxDVoci3i8PA9elxpNOPnBs9CCFEDDAfeNOX9oFY+c4AFgkhjuE+YJuLeyWcJMSZ2i+ZgMpqolD4iD7exz3rahtNT27A1dS2yKjjk2O4NnkOpBBC0CfWwqJR6Zj9VQAp2xX43oaUskFK2UdKWe1Le7/FV0r5iJQyU0qZjfuUb7WU8mZgDXBdc7PbgHf8nUuh6A1IKaHOAemxvnWos+N46jNkk3uXT9qduNYVeE0CJ4QgIcrMuIwE3/Z6vRHXUTknhSeC6ef7MO7Dt0O494CfD+JcCkWPQDY6sC/eiv2l3VDZ6PtfqMPA/t5+AIzSBve+bAdoQpAYbUYTdC2IwqyhTxmAMKnw464Q0PBiKeXHwMfN3x8BpgZyfIWiJ2MYBqVLNhNXbEdvfWwi8GlfVuaXNq+aO4hga4U/ngr6hVmYZg/qcv/ejsrtoFD4QENDA5s3b6a4uJjY2FgmTJjAgAEeHXi6zOuvvc4FJfEIotrekIBJA5fhXYSbtxmMAp+2HP0jMQrznGwAXMcqcX5SgKxoQhsQj2lONlqaj1smvRglvgrFOTQ2NrJr1y4KCgoQQmCz2WhsPBtJV11dzalT7vNjIQTZ2dnMnj0bq7Vz+Seqq6vZuHEjJ06cwDDcwrq8TxUmKZhZ3Y8sW9sw4KjHLsL+4UGMTSc9jicGJQLgOlLRKTu6gjY8BaOiAaOoDuc7+eBwK79R04T9YDmWOyei9e1cGHNvQ4mvQtGKpqYmXnvtNZqafClN794rPXr0KKdPn+aWW25B8zHst66ujrfeegu7vZWnQPMOgFNI1iWeYmH5IJJcVgwkpiEpAFguG4qzXzzOt/Pb9rOaMF85DMfSfCht8MkGfzC2nMK+2YMDkwQcBo5VR7DeNC7odkQySnwVilZs2rTJZ+FtTVNTE4cOHWLYsGE+td+1axcOh6Pd+4aAAzHVTKhNxakZRF92NpTYNC4DfWgfnDuLkKdrEX1jMU3oh6x3YOwt7brfbmfoKACkoApZ3YRIjPLesBejspopFK04dMh7rltvFBR4TWLVhuLiYu8eBgJKzI1sjy/l7dRjVLrarmZFtBnzBQOxXDsK84xBiBgLRkFVV00PPA4D2182YX9fpaNsDyW+CkUzLpcLl8vV5f5xcb7vcSYmJnbYpsJiY39sNQ7NoL6+vsP2ItZyNm44HHBJjG2ncW44EWpLwhIlvgpFM/4miJkwYYLPbfPy8jCZfN/1y8joOOJNG9rHnawhzHCtOoLRoKLgzkWJr0LRjKZpPq1IPTFr1iyionzf30xNTWX+/PnExnbskjV27FjM5o6jyIRJw/K18ZAY5XZNCyPsv9+AY+0xpKG2IFpQB24KRSvS09OprvbNT9ZisTB48GCmTp1KdHR0p+caOHAgN910EzabDV3X0TSN+vp61q5dS3l5OVFRUUyePJkhQ3wvIKr1jcP64DRkST2u/WW4Pj7WabuChWvtMVw7TmG9a5KqCYcSX4WiDUOHDuXw4cNuv1svCCG45pprurxSbj1O6xVzQkICX/rSl/weU/SNQ6THImtsGNtPd9ypu6ix41i6H4tyQ1PbDgpFawYMGEBubi5CCGqcOuV2Mw5DcO6B/aBBg/wW3mAjhMCycDiWB6dBbPgkvzGOVKo0lKiVr6LTlOEuWLIBt7NnH+AruKtH6cDM5muRiRCCOXPmsK40npX7ykEaCEAXkstTi0k2OzCZTJ06XAs1WlK0OzQ5nFDuZ0p8FZ2hCXdlqNbhq6XAX5q/15q/5uDOLjoez3n1wweH0+C9nSd5Y/NxquodaBrUNTlpsLe4nLkfDh1SsqI8jWvTTzNq7ASe/bSIlbt34nAZDOuXwGNXjyG3b3zofhAvGJWN0OSDC120DnbDp4xo/iD6xyPMPS8TmhAiCXgOGIN7ZXKnlPKz9tor8VV0gpVApZf7RvPXKmA9MBr4MxB+hytOl8GbW47z15UHsfn0CCyod5lYcjqT/7zXthhl/qkabntmA688MIsBYVjZ17W3pONGusByxyRcxbW43tgXVHvMi4YHdfwQ8ifgAynldc2FNL2+GdSer6IT5ON77KoN2AV4qqwdWqSUPPzyTv74wX4fhbcFgdHOn4zTgKc/OhgYAwOMSOjgwy8tBvPDM9FSY5B7g1xHMTkKLbXnZTwTQiQAs2nOWy6ltEspvYYcqpWvohNkdbK9C/g37oIm/QJvThfZW1jNxoOlBNrldNdxb08FoUMflYZz6X48/cD63MGYZ7pz8spGB8bB8uAZIkAfHz7vA4CUHI2vvuLbh8FNr5IqhNja6tJiKWXL6iIH9x7cP4UQecA24CEpZbuhiWrlq/CRd4CnutBP4t56CB9W7jkdlG3NvmGaREaYdMy3jDsv+k1MyDgjvACywRHc8GQhMF2QGbzxg09ZS7Hf5q/Wj3UmYCLwtJRyAlAP/MDbYGrlq/CBncCvAWcX+68LoC3+s+FAcB6tH7wsfPcy9exktIdn4TpUDo1OtGF90GItbdqIpCjQtTO5eQONGBDfk0sOFQKFUspNza9fpwPxVStfRQdsB/4HaD/9Ycd0PVlNMKhp7OqHSPuM7B/PuKzkgI8bSIRJwzQiDdOEfucJL4DQNUyXDnELcBDQhkauC2JHSCmLgBNCiJZP4EuAL7z1UStfhRdWA4/hPjzzh7QA2BI4tCA8WmuiZ6xjTOMzEIkWHC/tcZ8iBgpdoCWF57ZMAHkAWNLs6XAEuMNb457xjlEEAQn8Dv+FVwB3+W9OAHEEIbpq78lqlu30UNkhAtEHp2D91lREvzh3gp4AqYSWHd5PBv4ipdzZvBc8Tkp5tZTS6wmsWvkq2uFd3Ie3/jIDp3MB+flbyM/fixAaY8ZMYdiwEX6ncOwqybFm6myB33r4zbt7mTEslcSY8x/pIw2RGIX1G5ORVU1ImxNXeT2u17vo/2vW0GcNQsRF/u8lkKiVr8IDDwBPBGAcgcv1CG+//W82bNhGRYWd8vIm1q5dxxtvLAlZhYOvTM8OStpbXRNsPFQW+IFDiEiKQusbh3lUX0w3jvHJG8J83xRMV49wH+qN7Yvl5nFtvCoUbvwWXyHEQCHEGiHEPiHEXiHEQ83XU4QQK4UQB5v/7dnPHD2G7UC7EZGdRHLkyHeorHTS9q0mqKioZ8eObQGap3NcO2UgV4wfcN65Ur+kKKx+qrIWotV8d2Aalor5jg5yWpgEemospnEZWG4ci+WakWhZSd1jYIQRiG0HJ/BdKeV2IUQ8sE0IsRK4HVglpfy1EOIHuN0uHg7AfIqg8nJARzt+PBMpPX3GC/bu3cXEiZMDOp8vaJrgh1eP4esX5XKgqJY+cRYGp8USYzVzqLiWbz6/iTpbZzw0JCBwSckFQ1ODZXZIkFJSXFxMWVkZ8fHxDBw4EDJiochz7IAY1nM9GgKN3+IrpTwNnG7+vlYIsQ8YAFwFXNTc7AXgY5T4RgCBTT0YHd1AizidiyvICVw6IiMpmoyktknQh/SN55aZOTyz6txQYc8/QwsmTfD41WPIP1VDZb2dsQOTzhs70nA6nex88VGGnfgng6WdozFTeaXvzSyaPg/9bc+FRs1zc7rZysgloAduQohsYAKwCejbLMxIKU8LIdLb6XM3cDdAVlZnw1cDh6u0lIY330JPTyfqqkVoWm/dDr8D+DBgo40cuY89e8Z6uCMZNGhgwOYJJFfk9T9PfON1J7UuE54EWBfw5M0T+Pk7X1DdYMPulEggxqLx0IIRLJqYGbLDRX+ofWYmk8rcMQMCGF33EcPq1rIy7r/MHzYc43DF2QxoukCfmokWhomFwpWAKYwQIg54A/i2lLLG135SysUt4XppaaHxBy2//wGKxk+k5omfUXn/A5wenItt/achsSX0DAGuD9hoycnVjB+/HffKsWWlK7FYBFOmzAjYPIEkPTEK6zk10BJ0JznRdZz9OdxfGgZX5gie/GA/JTVN2JqFF6DBbvCrpV/wy3f2tBnrVGUjR0vqMMK5nlnJPpLKNiE4+3EjADMOhh74A/LqYZivGYk2PBVtdBrmr47DPD83hAZHHgFZ+QohzLiFd4mU8s3my8VCiH7Nq95+gA957bqfuv++RNNbb7e96HRSdvMt9Dt6uJeugB8GbsD9QOJ/spipU7eRk3OUbdsmUV8/gKysHMaMmdupgpPdzY+uHsNjr39+5nWRw8pNfUqZmlBFfkM8FQ4zibqDkYk2poydyofvHcequRgeU0u6xU6l00x+fTz1LhPv7jjFV6ZnE2PVue+fWyiqbgLc3hHfuDiX22eHoWitetTjZQFkN25HCtBHpaOP8vhAq/ABv8VXuJ+nngf2SSmfbHVrKXAb7qQAt+HOzBJ21P7+D55vOJ00vvIqsV+9sXsNChsGA7UBGy01tYLLLlsJJOM+Aghf4QWYP7YfLkPy5PJ8ahoduKTGuso+zEkuJy++Gg0wmU0MzMwkNb0fcaYjXJZ0CpMwMGnQXzYyKraWZWV9KXdY+c6LW2lyuKhtldTcZUieWXWI9IQorhg/AACbw8X6A6VsO1KBzemk0W6QFGPm0nH9yctK6r7ti3YWHRJA6Fit4ZejOdIIxMp3BnArsFsIsbP52qO4RfdVIcTXgeME8lk2QEgpMUraX5C7ioq60ZpwoRJ4CdhIcKpQVON+a/xfEMYOLAvy+rMgrz8AewureGlDAXuqUhmfYmd432iG5g6mXz+3SE+Mq8CiGWfcYE0CEJIZSeUsLe1Paa293XmeWr6PfadqKKlu4tMDpTg9bEcs3V7I6Mwk7p47lInZycEX4YuegH1verzlGntzcOfuJQTC22E97f+VXuLv+MHEuS/f6/2Ya6/tJkvChQrgq0AN/iXS8YaB24/Yu/dAuDE6M4mf3+DZX9WkCwbF2DE8eKelmB3owsDl0d3OTW2Ti9c2Hfc6v9OAXcer+J8XtzE0I56/3DaFKEsQM4T1HY0YthB54D3A/T8lARmdRvQ14ZcgPxLpjRuaZzCcDq+F/Kp/+Uukvf0VS8/jBYIrvD0Xq8Wzi54EDBm4Dxmb0+BAUS3PfezZ1Sug3PQu4qb3Eel5kDwEcemTaN8vhgj03AhHenVuB70D74qm95dRYbOT8s/n2zzmtYTFuk6epHHpu8imJqLmz8My1pNLVSTxKd0jvC3rqJ7zRzxy5Eh27dqFy3V2+euUUNAYg2z+OYUITNFeu9Ng2c6T3H9pN+QPHnaF+0sRcHql+BrV1Ri1tYjYWO9/EVLStHIlp4YOJ+aWm7FMmUzNEz/HKCx03xcCTCZwuaj729PEfOUGEn/+szD36awGdgCxuF2yddzJ0lfiTr7fHUjcgZE9J9HKhAkTqKio4MSJEyAENruLcoeFDVXuiC+zLhjeL570hGjWfFHscyW89qhpVE8nkU6PF1/XqdPYv/gCLSkRU/Zgqv73+zStWQO6jhYXh0hNRZZ2kL2rsZGGvz9Hw9+fa3tdSnC4/whkYyP1L79C9KIvYZ02LUg/jb+8hLukjwmw495/TQWqml93F1n0JOEF0HWdSy+9lOrqasrLyzlZJ3lq9UnQbJiRDO0bT0mNjb0na4iNMpESY+F4RUOX53MasLOggvGDUgL4Uyi6kx4rvtLlovJ7/0vj62+A4SF/q8OB0dQU2Embmmh46+0wFd/dwF9xi2xroe1u9+soOqiuEtEkJiaSmJhIDjBzbA6V9XZ2n6ji8Tc+x9ZcnqeuyUldk/8pLZ9bc5i/3K7EN1wQQhzD7Z/pApxSSq+JS3qs+Nb9/Tka33rbs/AGEeehw906n++8if+J0f1lEu6SROFb6yyQCCFIibPyr3VHzghvICn0Y+WsCBoXSyl9yivaY70d6v/xzzNbAt2Js6Cg2+f0jRrwe6fRH8zA5fQW4W3NycrGoIxbVN3EZb9ezf99mE9DEJLDK4JLj1z5OgsLcRWHKEAi0FsZAWMusBkIjhB0jAb0zoxXg1Jj2X2iKihjVzc6eGXjcbYfq+Qf35gelPp0PZpTDfATn/NKpwohtrZ6vfic8vESWCGEkMCz59w7jx4lvo0ff0z1Yz/GdfRoYHx6uoB5XLi6m12KO/3G5x01DBImIFx/N8HF5gxu9WaXITlWWs+2YxVMyVH5dINIWQf7uDOklKeaMziuFELkSynXtde4x2w7lFzzZSpuvhXXkSMhE140jYRHHwnN3B1iBp4F4kM0fz3weojmDh1HSuo4XBS4HBntYXO4OHA6+PMo2kdKear53xLgLWCqt/YRLb5GXR21/3qBkzlDcGzeHGpzAGh8OyzzBzVjJrTRa08SyFzBkcDR0jq648hXAgNSIjt5eyQjhIhtruSDECIW96PmHm99IlZ8G1es5PTosdT88EdgC/UpfjOGQd2zzyIbQ7Wv6gujQji3A/hLCOfvfgalxnZLHJ8AZg4LTT5sBQB9gfVCiF24D1fel1J+4K1DRIqvq6KCirvvAWcYnvC6DGzbd4TaCi98h9Bu9feuTHFD+sYzOC0u6PNMG9IH07kVQRXdhpTyiJQyr/lrtJTyFx31icj/rab3l4Wn8DZjVPqfgDx4jMQdbBEq+oZw7tDw3DemMaJfQlDnMOvamZwjisggIsVXNjaG7lCtI3Qd84hw92WdBMwL8hwWzl9hRwH3ddjT0eSgaF8pDdXhvH0DhstJ+eE9VB0/0K7wGYaBJl38857pvPDNC4gyBWcTYvPhcjYdLg/K2IrgEJGuZta5c+GJn4WlAFsumI55yJBQm+EDvwKGAYtxJ7kJNBpwF273tmLcK977AO8Zslb9YT2H1h078zopM4Frf3855ujAVlXuDFJKnE4nuq5z6tQpSktLcZafpODlXyGdNqRhEJXYh9n/+1eSsoYBbtHdunUre/bswTAMrFYr06dP54V7Z3Djn9cHPNzF5jRYsfs004f0rNL1PZmIFF/zkFyirrySpvfeC7UpbYi64gqS//RUqM3wkZPAkiCOnwvc2fzlW/rITf/e3kZ4AaoKa3jzf5fzlb8sCoKN3pFSsnPnTnbu3ImjOVpS0zQMwwCnHcZfT8y2V9FtldSXFLL6idu56umP0c0WNm/ezN69e8+kmGxsbGTdunXMvcT9xGHVXPQx22lw6VQ5A5NkyKz2fCOKiBRfV0UFWkI86K0N9P8AACAASURBVDq4guvA7gumqVNI+smPseblhdqUTvA7ghdyrAE/avXat0ft3e/u93i96kQNDdWNxCR2ryvVjh072LZtW5stBaMlV4jJAoaJptFXELP1JVwpWRjRcRRsXUPWlEvOrHhb43K52Lp1KxPiHYyJr8ElBRpQ5TSzsjydJsO/yhRXju/vV39F9xJx4tu0aRPlX74+fLYcLBbibrwxwoQX3N4wwfodJuFe+XYOl6P9D9LaorpuFV/DMNixY4f3QyxNw4hPpW72vbSs7lftLiD55NvnCW8L1VWVjImXmASYhHvsFLOdi1NKWV6W0WV7Yy0647KSu9xf0f1E3HNKxR1fDx/hBbDbaXzv/VBb0QWClU/XjLt+auffWtEJ7VfE7ZPddWExDKNdMWyPgoKCNlUp2kVo7lWwyQomCxKoqKjwakuL6LagC0iz2IjWur73ntknpst9FaEhola+RlUVsro61Gacjzmifo3NLMSdZjKQEW9DgB/jdmfrPDO/OY2Vvzk/FH7IRdmYrJ3/HVdVVbFixQqqqtxJbTIyMrj44ouJj/ceYi2l5NNPP+30fL4ghPC4mpZSYNUMGrsQDmfRNRZNzAyAdYruJLJWvmFansc8bGioTegCDxD4RDepdFV4AXIuzGL+w7OJTooCASariQk3jOGS78zs9Fh1dXW8+uqrZ4QXoKioiDfffBNnBz7i9fX12IIUNeltG6Pa2XmPDqtZY1xWkhLfCCSilmxaYiIiJRlZEUZBDBYLlomTQm1FF4jC7eu7PYBj+r8dlHNhFjkXZnW5v2EYVFRUsGLFCo/3bTYbe/bsIS8vr91aexaLpdsDFnSLFV0TOH1c+QoBuelxPHjZCKbkpIR53UCFJ4IuvkKIBcCfcFdqfE5K+Wt/xktd8iKlCxeFhZcDgBYfR9RFc0JtRheoBn4bwPGswJcCOF7nOX78OGvWrMHlcnld3ba4gc2bN4++fftSUlLCrl27qKmpoV+/fuTl5ZGSkkJZmU8FCQKCVbj49oIR/HF5Ps4OdD8h2sS35g3jSxMzVf7eCCao4iuE0HHHss4HCoEtQoilUsovujqmZdw4+uV/Qe1Tf8Sen4999ZpAmdt54uNJffUVhCUSi0H+O4BjmYELcf83h4aamho++uijDrcUWqivr2fZsmVceOGFfPrpp2f6VVZWcuDAAWJiuvcAy+FwkGMu59dfncDDL+3AdY4A6wJunjGYOy/KJcrsn0uaIjwI9sp3KnBISnkEQAjxMnAV0GXxBdBiYkj84aNIw+DU4NyQ5XkQuo5p8OCQzO0//pSJF8BlQDruFe80IA9f/XmDQX5+fqc9GpxOJxs2bGgj2IZh4HA4qKurC7SJHfL5559z69cmMLRfAoeKa3E2K7BZF+T2jeeblwzt1ErX6XRy6NAhioqKSE5OZsSIEVit7XuUKLqXYIvvAOBEq9eFuP9SzyCEuBu4GyArq3N7fULTiL5qkTuHbii2IZxOmlavJvryy7t/br/5Ml1Pbm4Cfh5AW/ynvr6+0+LbEjbs6XooktQ4HA50TfC326fwwidHWL7rNACX5/Xj9tk5nRLehoYGXnvttTYHh5s3b2bRokX07dv7khuFI8H2dvD0bmnzrpZSLpZSTpZSTk5L63w+0qSfPYF59GiIiuqqjV3H5cKoDE5truAzFOi8F4GbrgcDBIvMzEw0rfNv5/ZE1hKCraSUFHcZ+BiriXvnDWPpd+ew9LtzuHfeMKItnVsnrVmz5jyPDSklS5cuDZi9Cv8ItvgWAgNbvc4ETgVyAi0xkbRl75H6ystEXdW98f/SMLBOn96tcwaWP+L2yx0M9AMWALE+9Ls3mEZ1iZycHBITEwM2nt1uD9hYvpKRkcGSJUv4+9//zquvvsrx48e7PNbJkyc9XpdSUhC2FbYjHyGELoTYIYToMPFMsMV3CzBUCDFYCGEBbgQC/tErhMA6eRIx118f6KHb0mq/TMTEEHvD9ZhyInXPt4UvAa8B7wLfp+Ogi6m4K6SEF7quc/XVV5OREZhVuU/RbQFm79691NfXI6WkqqqKlStXUlhYGPB58vPzAz6m4gwPAft8aRhU8ZVSOoH7cRfu2ge8KqXcG6z5oi++CIL0uBj/8PdJ/OmPsUyZjHXWLJL/+BSJv/plUOYKHQnATYCnHApm4CvA/3WrRZ3BbDazaNEi0tPTQ21KQHC5XGzuYm1Cb9smrQNPFIFDCJEJXAk850v7oPv5SimXAcuCPU8Lqf99kbKvfLXtAVxUFDQ1dXnMmDvvIOHBBwCIu/VWf00Mc74F5AAvAlXAdNyiO5jg5YMILKNGjaKkpCTUZgSE6i6G00+fPp116zxXLVcBGV0mVQixtdXrxVLKxa1e/xH346NPJcIjKsLNF6wXXEC/o4dp+Pd/cBaeIObqqzEqqyi/487OC7DVimXKZJJ++pOg2BqeCNwJz70nPQ9ncnJyWL9+vc8+v+FMQkLXyg8NHz6cjRs3nrd3res6ubmdzzjXUyltGMyzO57wsfWtZVLKyZ7uCCEWAiVSym1CiIt8GS2ycjv4iKbrxN1xO0mPPYZl7FiiZs+izz+fxzym2SvCh4MZLWsgSb/6JalLXkR04RRdETpMJhPXXHNNqM3wG13XmTJlSpf6CiGYN28eJpPpjBeIyWQiISGBcePGBdJMhZsZwCIhxDHgZWCuEOJFbx163Mq3PaJmzyZq9mzAfeJbdt992Je2cyBptZLx8RqEckiPWKKjuzfxeqCJj49n2rRpnfZ9b01mZibXX389+fn51NXVkZmZSU5ODrquIuQCjZTyEeARgOaV7/eklLd469NrxLc1QgjSnn6a4hOFOHfsbHvTZCLpyT8o4Y1wOhtwEW7k5uaSnZ3t9zjx8fFdXj0rgkuvfp5Of3cpcd/5NiI6GoRAS00l6be/Ifbqq0JtWlhjGAYHDhzggw8+YPXq1Zw+fdrnvhUVFRw8eJDi4uKgCmRMTAxxcXFBGz/Y7Ny5kzfeeIMmD+cUUkr2lO3hjQOvsfr4KpqcXT9MVgQeKeXHUsqFHbUToQijbI/JkyfLrVu3dtwwwEgp3YdxUVHqJNgL9fX1bN++nf3797cRTpPJxIQJE5gwYQI2m42jR49is9no378/aWlpNDQ0sHXrVg4ePNjGf9ZsNnPZZZfRv39wao+VlZXx9tvtl/SJBEwmEwsXLjzjPucwHDz6yQ84VHUQl3ShoRFliuLXs35HdmJ2aI3tZoQQ29o7APOVQUk58tE5vh24fXPprX7P15peue1wLkIIiPA9wmDT2NjY7krM6XSyZcuWM3uLZyr8ArGxse0mqXE4HLz//vtERUXR2NhIdHQ0aWlpFBcX43Q6SU5O5qKLLjoTdttZUlNTueWWW9ixYwdFRUVUVlZGnAeE0+lk1apV3HjjjQgh+Neef7C/8myQhIFBg7OBxzf8kBcWvKgWDxGEEl+FT+zevbvDkNva2lqgbXRYR9nBpJQ0NjYCboFvHVJbVlbG66+/zpw5cygrK6OgoACLxcKYMWMYPny4T0ITFRXFBRdcAMCKFSs4duxYh32CRYvnQWdDlxsaGqitrcUUY+LdI54DRKtsVRTWnmBgQtcP6BTdixJfhVfsdjsbN24MaUjq2rVr26ym161bx7p164iNjeXaa6/12bMhJSWFgoKCTmcsM5vNOBz+1bqzWCzcdNNNmEwm3njjDSorO1eNRdM0vrP6Qa9tlh56h29NfMAfM7vE/vJ8lhcs52DlAaJ0KxcNnMvwlOFkxGSQYA1cvo2ehhJfRbtIKXn//fcpLS0NtSke923r6+tZsmQJd911l09jDB8+nM8//7zTWw+ByPNw5ZVXngn5HTlyJBs2bPC5b0JCAg1aA6cbvB9srjj+IXfnfROz3vlacF2hxlbN458+xtGaI8hWyQoPVh0EQBc6MwfM4sGJ38asdY9NkUSv9nZQeKekpKRbS+l0BcMw+OIL33Lzx8fHc+mllxIdHd0m+MAbgfKLbb39EhcX59OYQgiioqKYN28ehbUnOmwvkfxn3wt+2dkRTsPJGwde47blt/K15bdwpOZwG+FtjUu6WFe4luc//3tQbYpU1MpX0S6VlZUhSSreWQoKChg1apRPbTMzM7n55pupqqpC13V27drV7pZKfHw8F198MStXrmw3vWPr7ZD2aBHRFgYOHIiu6x2uqGfMmMGwYcMwmUwYjdnef7Bm1hWu5c4xvj0J+IrLcPFy/n957+i71Ds6VwFFIvmw4AO+kXcPulDBHa1R4qtol6SkpFCbAHQscJ3NYqZp2hkPiunTp3PgwIHzxtd1nWnTpqHrOlOnTuXkyZNtxFLTNLKzsxk8eDCrV6/2+iEVFRXVJtWlruvMmDGDNWvarz+YmZnZ5gOlT3QfBsVnU1B7zPvP5qfALT30Dv/d9yINrgasupW06HTKm8qwOW0YdM1lzyVdfHBkOfOy52PVVfBSC2rbQdEuaWlpIQtFFUIwceJE7rrrLoYOHeq17YQJE7o8j8ViYdasWei6fsZ7wmQyMWDAgDMRZikpKVxxxRUkJycDbvEcOXIkF198Mbm5udx5553MnTuXvLw8hgwZghACXdcxmUzExcWxcOHC8zwzcnNz2y3SGRcXx4IFC867/vOZv0QT3v9krxjc9YRIL+Uv4bk9i2lwNQBgc9korDtBo7Oxy8LbwrO7n+a2ZbdQ0tAzss0FArXyVXiksrKSd955JyRJxeFsHTVN0ygqKmq3XVfLB7Vm+PDhpKens3//fux2O9nZ2QwcOLCNYPbr14/rr78el8uFpmlt7um6zpAhQxgyZAgAs2bNori4GIvFQlpamkeXOE3TuOKKK1i+fDlNTU0YhoGUklGjRjFjxgyPfRKtidw//kGe2fU3HIbjvL3WnMRcrsrtekKhV/e/0uW+vtDgauDuFV9HFzouadAvrh/3j3+A0aljgjpvuKLEV3EeUkqWL18eklI6rdm5cycTJ070mtM2Ly/Pp7HKj1VSuOM05mgTgy/MIjqhbc2/5ORkpvtQEsqXJwGz2UxmZmaH7VJSUrjpppsoKSnB4XDQt29fzGbvXgHzBs1nRMoIVh9fRaWtEpuziVhzHBf2n0leel6HK+P2aHI24ZLB/6A1MDCkexV9sq6QR9Y/zGPTf8KUjN6Xf0KJr+I8ysvLaWhoCLUZSCn517/+1e59IUSHoclSSj59dgv5qw5juAyEgPWLNzP3OzMYMiv0JaCEEJ2uJpwZP5Cvjb69S/MdrznOP/Y8x97yPcSaY/lSzlVcPfSakLqC/XzjT/nFzF8zppetgJX4Ks7D6XSGTZiqt22PjIyMdu1sOQD7/J189n5w4EzN7JYH9VW//5RVv/+UEZcO4YI7JmGJ6fl+qCUNJfzvuv+hydmERGJz2Xh5/38prDtBVVPngj4CiUTy6PqHeeqi/yM3qfckelfiqziP9vYpw42ysjIMw2iz52u32/nss884ePAghstAlmsQY4F6z4/j+SsPUXmimqt/fVl3mR0y3jr4BnaXvc1esc1lY9Xxj0Jo1Vl+vOFH/Ofy/0bEey8QKG8HxXnous6cOXPC/o/AMIw2iX6klCxbtswtvIbhroiUYsCMJjC34womofxIBaWHyrvH6BByoHJ/t+zrdpUaew2/3vQLXEb42hhIlPgqPJKbm8v111/P4MGh2Bf1LbBD0zSsrZLel5WVUVFR0cZnV2i4RXigl9wMAioLu1aoMpLIShjU5QO57uKzos94atsfQm1GpxFCRAkhNgshdgkh9gohftpRn/D+n1CElKSkJObPn88NN9zQjbNKTCYHuu599aPrOnl5eW28D9oriS5MQKIXQZeQPLDnJ4C5ZsiXzztYs2gWvwMzAs26k2ups9eG2ozOYgPmSinzgPHAAiGEV/cZJb6KDklKSmoTHht8JAMHeg7nBbeHwNSpU88LrmgJgjhvNCdQ3f4WSmxKDAkZPlX7jmiyErL48QVPMDA+C01oWDQLc7Mu4d68+0Jt2nlsOr0x1CZ0CummJYGHufnL6yOcXwduQojfAV8C7MBh4A4pZVXzvUeArwMu4EEp5Yf+zKUILWPHjmXLli3dMJPA5TJTUDDI492BAwcyb948j/6wqamppKamUlJScmbrQRqAAZzw7M0gBNRXNvLinW9y2aNzyMzrF6gfJCwZkzqGv17yNDaXDZNmOpNvwaJZePbzp2lwht7FEKDSFjrvCy+kCiFal9pZLKVc3PJCCKED24AhwF+llJu8Deavt8NK4BEppVMI8Rvc1TsfFkKMAm4ERgP9gY+EEMOkDOPdfoVXRo8ezb59+zpMjh4IpPT8QKbrOrm5uV4DES6//HI2b95M/r58XE4XlGqw1wKO9lzSwNnkTjG54ldr+doL12GyBtYJ6NAnR9n19j4Mh8HIBUMZddlQND20D53n5li4OGsuU/tN45PCdRyvOcYHBR/gNEJX9WNQvOcP30BTnVrO+3e85FvjpZR5KyPUrG/jhRBJwFtCiDFSyj3ttffrXSalXNHq5UbguubvrwJellLagKNCiEPAVOAzf+ZThA6LxcJ1113H0qVLqaioCJkdHSU1N5vNzJgxgxkzZiCl5PQXJRwdcIIDq49gr7UjNIE1zkxTjafoPcHJz4sYNKXj6LSOKN5fytaXPqdw5+k2D5+fPruFvcv2c/2fFoZcgFuz7PB7PLv7WaSfORwChVXvzm2uwCKlrBJCfAwsAIIjvudwJ9ASHD4Atxi3UNh87TyEEHcDdwNkZakSKOGMxWJh0aJFvPzyyx5ruXUHAwcO9LmtEIL+o/vSf3RfZtx5dsHy0e8/4fAnBR77GE7/xEdKyfpnNrNvxSGk4XnLr+pEDc9f/xKpuSlccOckMkZ2LitboDlRe4Jndj8dUhvOJSM2srZ/hBBpgKNZeKOBecBvvPXp8KNXCPGREGKPh6+rWrX5IeAElrRc8jCUx3eilHKxlHKylHJyWlpaR+YoQozFYumWkuwtWcFav87KyqK+vt6nHMMOm5OifaUeXciGzB6MKer8dYfhMhiQl3He9c5Q9EUp+1cfaVd4z84lKTlQzvs/XkXJwdAmrP/33n+FdP5ziTHFkB4b2g+kLtAPWCOE+BzYAqyUUr7nrUOHK18p5Txv94UQtwELgUvk2b+KQqD1EiUTONXRXIrIoKUcTjAZNWoUmZmZHDp0iIqKCiorKyksLKSwsBCr1crChQtJSEjw2Hfjv7bx+TvuBOlCg6TMRK54fC6xfdwpHAdNHsCgyQM4tqUQl+3sMURyZgL2BgeWmK7/fIc/PYbL7vvRhtPmYsuSXVz5k0u6PKe/FNW3nzUuFDwy9dFQm9BppJSfA53KberXppMQYgHwMLBIStn6mHQpcKMQwiqEGAwMBTb7M5cifBg9enSbVWmg0XWdSZMmMXDgQHJycqiursYwDBwOBw6Hg7q6OpYvX95mBSylpGBrIf+9+212vbUPaUikITGckopjVbz/01Vn2gpNcPF3LsR8zsFa2dFK3vreBzhtXT9o6so+bvmx0J7sD08ZHtL5W9DRmZYxnbz0rudnjiT8/Qv6C2AFVjaHom6UUn5TSrlXCPEq8AXu7YhvKU+HnkN2djajRo1i7969aJrmd2Xf1kRHR7No0aIzq+u9e/d6LHhZX19PZWUlCbEJHFx7lK0vfU5DRWO741Yer6Zwx2lsjXbWP7OZpmrb+Y0k2OpsHPn0OMPm5nTJ/rTclE73ServeQUfbOrsdfxh6+/YUbI9JPOfy1dG3Mj1w74SajO6DX+9HYZ4ufcL4Bf+jK8IT4QQTJ8+nbFjx1JcXIyu66xZs8Zj/l8hBBdeeCFbt27Fbre3Wa2OGDGCPn36EBUVhcPhOOOn2xqbzYNINo/bUNvAysfWU1NU1/FBmYRlP1tFR0sAl8Og4rjnSLkzQzX/DJ5yXxzd2HGhy9aYrDqTbhzXqT6B4EjVYX7wyfdpcoXm4PRcNKExMD4LXQuvaLtgorKaKbpMbGwsOTnuFeKtt97K8uXLOXXq7NZ+nz59mDt3LsnJyeTm5rJv3z6KiopITk5m9OjRxMd3HFWWk5NDRUWFx9SSpzaUUVvsg/A24+uzV3JWItKQCK2tuFZXV/PJJ59w+vRphBCkxqQz0JpN5ph+pA9LxXAaFGw56dskQFx6LBd+fRIDxvl3yNdZKpsq+P4n38PuCm2y/NaYhIkYc2yozehWlPgqAoKu6yxcuBCXy4XNZiMqKqpNqseoqKgu1VobNWoUBw4coLa29kyeYU3TmDVrFtv/tA+XI/B+qR//6TM+/tNnJGclcunDs0nKTMRms/H222+fWYlLKSmpLqKkvpgdr8QxYGwGI+bl4ksiuMk3jyPv6tHoZi0kmeNe2f9yWAkvQLQpmnGp3f8EEEqU+CoCiq7r7RaG7Apms5lrrrmGQ4cOUVBQQExMDKNGjaJPnz7sjjoUsHk8UXm8mjf+Zxk3P3ctBwsOnL/61kHGSFwxdk7tLsISZzlvtXwupiid8deMRjeH7vF6zfHVIZvbE3HmOJ6Y8fNeteUASnwVEYDJZGLEiBGMGDGizfUxVw5n7bEKXPbgRWU5bS7eevgDTP3BkeBCRHtoFCdxVrooP1KBNxdkzSSY/NW8kAqvIQ0aXe0fTHYnutCZk3kRD0x86EyOid6EEl9FxDJkTjY7Xt9N5YmaoM5Tc6oWUSyAKOQFTYhEiawTUC8gRkKte7VbU1RH1qT+nNhx+ky+iBZi+kQz7dYJDLu4a14UgaLeXh/S+Vu4JGseNw6/ib6xnatf15NQ4quIWE7tKaaurHtWcdLVvKTdbUGagErN7SXv4kzspsvu4uhnJ4hKtBKdFEVUnJWhFw1m5GVDMVnCY2VXbffuyeEvOjouPJ9samjcPfZuLh18OSZNSY/6DSgiDikl7//4I07uKu7mmQVUa+7geSloLwdNU7WNpmobtaKOysIqivaVMP32icSnBz8suyOWHn4naGNbNAu3jb6d7cXb2Vay9bz76THpXJ6zMOzLU3UXSnwVEcfhTwtCILwtCF+rHIEEZ5OLI58e5+hnJxh9xVDGXzvmTJhzKFhzonOHbWbNzILsy/ng2Ac4DM8eEjGmWC7NvozLshcwIG4AE9InsW/tF9hddpzSiYaGWTdz7/j7lfC2QomvIuLY9M/wiMjqDNKQ7HnvAPtXH+Wa3y0gOTM0ZYscLt+jEa26lUEJ2dwx5uuMTBnFH7c/CQJchoFEMrP/TC7NvowxqWPb1IbLjM/kz3P/ypsH3yS/Yh+Z8ZlcO/Q6BieGoh5g+KLEVxFRHP3sOHVl4VFtoSs4Ghx89vxWrvhxaBLpDEsZTn7Fvg7bje4zmosHXsLFA+di0kzMzJzFuPQ8Np3eiEu6mNJ3Kn2i+7TbPy0mnXvyvhlI03scSnwVEcXWlz4PtQl+c2p3ScjmvmfcvTy87nvY29lCABiePJxfzfrtedcTLAnMH3RpMM3rVYRPKn2FwgciedXbgm4NnedDblIuf7nkbywYdDl9ozOwam0rRmTHD+anF/48RNb1LtTKVxFRpAxKouiL0K0cA0FyZmiymLWQEduP+ybcf+Z1vb2eI9WH6Bfbn9QYVdCgKwghBgL/BjJw+8EsllL+yVsftfJVRBQzvzk11Cb4TVxaeCWQibXEMjYtTwmvfziB70opRwLTgW81FxJuFyW+ioiiz6Akxl/r9T0d1mhmjczx/UNthiLASClPSym3N39fC+yjnbqVLSjxVUQck28eT0L/eM+VAsMZAXGpMQyZ1T1l0RUBJ1UIsbXV192eGgkhsnGXFNrkbTC156uIOHSTxrW/W8CWJbs4tO4YLodBUmYCE24Yw+ndxexdfuBsOHAYoJk0zNEmRswfwoTrxmCyqj+7cMHZ0JeSHQ/62HpZmZRysrcWQog44A3g21JKr0lH1LtAEZFY46zMvGcqM+9puwc8YGwG+z485DH5enejmzWufOIS+o3qvcljehNCCDNu4V0ipXyzo/Zq20HRo7DGWph807iQb0nkzBzErS9cp4S3lyDccdPPA/uklE/60ketfBU9jvHXjiYqwcrav2z0PQ+DnwhNgIC+w1O5/EcXY4ntevl5RUQyA7gV2C2E2Nl87VEp5bL2OijxVfRIRswbgm7WWfuXjbgcrqCJsG7RueLxuThsDhIz4kkKUc4GRWiRUq6nk89bSnx7KY1VpbjsNmLTBvTYTFND5wxm0JRMtizZyb4PDwam3psAc5TZndzMZTDn/un0H6u2FhSdR4lvL6O+7DTrn/o2lUf2IqXEHBPHhQ/+nv7jZ4XatKBgiTFzwZ2TqC2p5+SuIpx2dxFOabS/FI5OtNJYfX7Jet2iMfXWCaRkJeFyuug/ui/maHMwzQ84TXYXH+4+xcdflFBYUU9hRSMS0AWYdMGQjARy0uKobrSTl5XMl6dkERUmieB7GgERXyHE94DfAWlSyrLmzec/AVcADcDtLQ7IitAhDYOPHr+ZhvLTZ6456mtY+6u7ufixf5ExZloIrQsemq5x2aNzKNpXyuk9xVjjrVSdqGbP+/s9th9x6VBcdidffHAQp83tNaGbNWJTYhg5f0jECS6A02XwzKpDvPjpUY/3XRJcTsnewmr2FlYDsC6/lL+tPMCzd01jTGZSd5rbK/BbfJtjmucDx1tdvhwY2vw1DXi6+V9FCCn5Yksb4W3N+icf5Lp/ePUJj2iEEPQblU6/UekA2OpsHFh7BHtd2/y21ngLeVePxBJrIX1YGrvfy8debyfngizGXjUyIoUX4Acv72T9gdJO93NJ+Obzm/j4R/Mx6co5KpAEYuX7FPB9oHV9kquAf0spJbBRCJEkhOgnpfT8l68IOtIwOLT6tXbvO+prcDTWY44Or7wDwcIaZ+Xmv1/Dxn9t58iGEwDkXJjFtK+NxxpnBSB35iByZ0Z+NNrxsrouCW8LTgPe3HKCG6ZH/u8inPBLfIUQi4CTUspdvazLVAAADP1JREFU5xzaDABOtHpd2HztPPFtDtG7GyArK8sfcxTtYLhcvPfQZdSXnvTesGeeu7WLJcbC7PumM/u+6aE2Jaisy++68Law4WCpEt8A06H4CiE+wp0m7Vx+CDwKeMqu7OnP2OMJh5RyMbAYYPLkyeETExqhuBx2qgr2Y46Jw9nUwOmdn1D8xZYOhdea0AdzVO9Y9fY6AvChmhSj/JYDTYfiK6Wc5+m6EGIsMBhoWfVmAtuFEFNxr3QHtmqeCZzy21qFV4598i5bnv+pu3CjvQkMA58dXAWsfuJ2Rl97L+mjRyCNdxDaYYQYASwE4oNouSKYzB6ezl9XHOiyq7NJgwV5KhNboOnytoOUcjeQ3vJaCHEMmNzs7bAUuF8I8TLug7Zqtd8bXCqOfsHmxY/jsjd1qb+tupzi6nIqjm1i/s+iie0jMEUJXM4PETyLrf7/iE4cF2CrFd1BVmosM4ensX5/aacFWBdw6dj+TMttv16bomsE6/hyGXAEOAT8HbgvSPP0Kg599Cpv33sRr902iVVP3E5t8VkHk4MfLOmy8LbG2QQrf9RIfan7z1Q3OUHUUnH4ayy9fx62mkocDXU4Guv9nkvRffzqK+O5e+4QUmJ999aIs2j87Y6pPHbNmB4biBNKhNshITyYPHmy3Lp1a6jNCEs2PfMjjqx5o+1FIcieuQjNbObY+vcwAiC+LaQO05j/s+gzrw2n5JWb29ZPM8fEc8H9v2XApIsCNq8i+JyuauSap9Z5baMJ+OvtU5iQndJNVnUeIcS2jlI8dkRc/2FyzDf+7FPbTU8s8Hu+1ijHvQjA1lBzvvACSMmxT97hyOrXAyq8AOUHDQzn2Q9mw3l+G0dDLet+ey+Vx/IDOrciuPRLiubRRd6rgeSkxzF+UHI3WdQ7UeIbAZzetrbb5xQ6iOZ3h8suObbeg/o2s/UfP+smqxSBYtGkgfz+pgnEn1NJWReCqTl9+PNtU9RWQ5BRuR0igJjUft07oQYDpug47QCS6hMGO/5jb7d5VeHhbjNNEThmDk////buPTiq8ozj+Pe3myzBCAYawh0hFmi5KTEiYnUUrCIypk7tDFSmTL11rNoLVSvFGWc6dVrtTFs67ehQRGtrtVatMjotaqu2fyBXBRQKhMYLFw1RQUFLSPL0j3MiqyQk2c3uORuez8zO7rns7m9elidn333Pe3hm4Qz2fniIVFIcbjZKipP0KdCz+AqNF98CUPHFapK9Smg+1L1dC+1qgYP1Lay/r5H9u1p4d/uxZwNrOrif1b+7ndO/uYhkkY8HLSSSqOhbEnWM45IX3wIQ9Knm9yvgezuM9+osHCvcsboXn+Dd2k00HtiHNTczYtrFTLj8elIn+Phgd3yQtIxgUHy9mU3oaH/v8y0Aa+/9Mc2HPs7/G7d0/jpoLYcb2ff6Fj5q2MPH79ez7e8P8uxtc2lpOtzxk53rGe4HZnZ2Zy++BaBh+4aoI3SZNTfxwe46drQ1SsO5HsjM/gW819n9vfgWgKJevTveKY6shY0PLyZOY8mdiwvv8y0Ap8z4Glufvj/qGBk5/NEHvF+3mf6V46OO4txRTml4nceWXt2pfYdBuaT0s8CWhBODZcSPfAvAqXO/TzKVm1+ki0/om5PXbWUtLbz8h7v86Nf1BA1mVp12y7jwghffgpAsTjH99gdy8tqm3H8EGmo30rDVryLlXDovvgWi/PMTOf3K21Ciey9m2HRwX7e+XltaGg+xa/0LOX8f56Ik6SFgJTBW0k5JVx1rf+/zLSBjLrqCoadP5+kFs/J3wkU3SBQVUezjfV0PZ2Zzu7K/H/kWmNLywVSef3nUMbpEiQQjz74k6hjOxYoX3wI0ed7NlJQNiDpGpySKijnz2z+ldMDQqKM4FytefAtQsjhFzd0vcOrXF9B36CkUlZSiRJKi2F2DTcxevIKTz7o46iDOxY73+RaoRCLBuJprGFdzDQAHG3bz8ft7eXfHJtbfd0fE6QKp0r6U5ntGNucKhB/59hCl5UMoH30qY2fOY+CEeFwKvbnZ53Vwrj1efHugc276TTy6IDo5I5pzxyMvvj1Qce9SLvzJQ5T0q+h451xK+MfLufZ4n28PddLw0Vx2z4vse3Mb72xeTUmffpgSrFy8IG8ZBk86O2/v5Vyh8eLbw5WNGEPZiDEAeb3ce6r0JCbPuzlv7+dcofHiexwp7l1KnyGj+HB3Xfe8YKKIouIUqRPLqJgwhX1vbiWRKGLwaecw+sK59C4r7573ca4Hyrr4SroRuAFoAp42s1vC9QuBq4Bm4DtmtiLb93LZu+D2B3jqB7M5fGD/J+uKTyyjV58yDrz9JtgxfiRTAqyFZKo3A8ZOZtxl3yJV2peyk8f6lW6d66Ksiq+k84EaYJKZHZJUEa4fB8wBxgNDgOckjTGzzl+XxuVESVk5X126kj0v/5uG2g0MHD+FgePPxMx4Z9NKXn38bvZuewWam0AiUZRCEgO+UMXACVNpPLCfQROnMXDiWV5wnctCtke+1wE/M7NDAGZWH66vAR4O19dJqgWmEMz44yImiSFV5zKk6txPrRs0aRqDJk0DoKW5mfotazi4dxf9KyfQ7+SxUcV1rkfKtviOAc6RdAfwP+AmM1sDDAVeSttvZ7juKJKuBa4FGDFiRJZxXHdJJJMMisnJGs71RB0WX0nPAYPa2LQofH4/YCpwBvCIpEravs55m5cyCGeDXwJQXV3tlztwzh0XOiy+ZnZBe9skXQc8bsE1YlZLagHKCY50h6ftOgzYnWVW55zrMbI9BekJYDqApDFACmgAlgNzJPWSNAoYDazO8r2ccy62JM2UtFVSraRbO9o/2z7fZcAySa8CjcD88Cj4NUmPAJsJhqBd7yMdnHM9laQk8FvgywTf/NdIWm5mm9t7TlbF18wagXntbLsDiMfchs45l1tTgFoz+y+ApIcJRn3lpvh2t3Xr1jVIeiPiGOUEXSdx5NkyF+d8ni0zWY9/3Hj48Iphu3d29lTMEklr05aXpF0+fijwVtq2ncCZx3qxWBVfM4v82jiS1ppZddQ52uLZMhfnfJ4tM58phBkxs5ndkYUujPBq5XP+Oedc9ro8wsuLr3POZW8NMFrSKEkpgukVlh/rCbHqdoiJJR3vEhnPlrk45/NsmYlNNjNrknQDsAJIAsvM7LVjPUfByDDnnHP55N0OzjkXAS++zjkXAS++aSTdGJ4e+Jqku9LWLwxPGdwq6aII890kySSVh8uS9Osw20ZJVRFk+rmk/4Tv/1dJZWnbIm+3rp7ymeMswyU9L2lL+Bn7bri+v6RnJW0P7/tFmDEp6WVJT4XLoyStCrP9OfwxKYpcZZIeDT9rWySdFad2y4iZ+S3o9z4feA7oFS5XhPfjgA1AL2AUsANIRpBvOEFn/htAebhuFvA3gjGGU4FVEeS6ECgKH98J3BmXdiP44WMHUEkw78gGYFyEn7HBQFX4uA+wLWynu4Bbw/W3trZhRBkXAH8CngqXHwHmhI/vAa6LKNfvgavDxymgLE7tlsnNj3yP6HBieDOrA1onhs+3XwK38OmB2zXAAxZ4CSiTNDifoczsGTNrChdfIhjf2Jot6nb75JRPC06Fbz3lMxJmtsfM1oePPwS2EJwZVUNQXAjvvxJFPknDgEuApeGyCCbOejTKbJL6AucC90IwrYGZ7SMm7ZYpL75HtE4Mv0rSi5LOCNe3ddpgmxPD54qkS4FdZrbhM5siz/YZVxIciUM8ssUhQ5skjQQmA6uAgWa2B4ICDVREFOtXBH/gWy/k9zlgX9of16jarxLYC9wXdokslVRKfNotI8fVON9cTwyfw2w/Ivh6f9TT2liX12xm9mS4zyKCGewezGe2DsQhw1EknQg8BnzPzD6Iw7XwJM0G6s1snaTzWle3sWsU7VcEVAE3mtkqSYsJuhkK2nFVfC3GE8O3l03SRII+0w3hf9JhwHpJU6LOlpZxPjAbmBG2H/nK1oE4ZPgUScUEhfdBM3s8XP2OpMFmtifsNqpv/xVy5mzgUkmzgBKgL8GRcJmkovDoN6r22wnsNLNV4fKjBMU3Du2WMe92OCKWE8Ob2SYzqzCzkWY2kuCDWGVmb4fZvhGOepgK7G/9GpYvkmYCPwQuNbOP0jbFYUL9Lp/ymUthH+q9wBYz+0XapuXA/PDxfODJfGczs4VmNiz8jM0B/mlmVwDPA5dHnO1t4C1JrbOYzSCYqjHydstK1L/4xeVGUGz/CLwKrAemp21bRPCr+Vbg4ohzvs6R0Q4imMB5B7AJqI4gTy1Bv+or4e2eOLUbwYiQbWGORRH/232J4Gv7xrT2mkXQt/oPYHt43z/inOdxZLRDJcEfzVrgL4SjgSLIdBqwNmy7Jwi6CGPVbl29+enFzjkXAe92cM65CHjxdc65CHjxdc65CHjxdc65CHjxdc65CHjxdc65CHjxdc65CPwfPmCA+i60OIUAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "plt.scatter(tsne_result[:, 0], tsne_result[:, 1], c=digits.target, cmap=\"Set1\")\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }