diff --git a/ml_uwr/homework4/Homework4.ipynb b/homework4/Homework4.ipynb similarity index 100% rename from ml_uwr/homework4/Homework4.ipynb rename to homework4/Homework4.ipynb diff --git a/lectures/13-nmf.ipynb b/lectures/13-nmf.ipynb new file mode 100644 index 0000000..a84ef39 --- /dev/null +++ b/lectures/13-nmf.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"celltoolbar":"Tags","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":"3.6.4"},"colab":{"name":"13-nmf-kotek.ipynb","provenance":[{"file_id":"1mjyOiomt0miEow9fpHlNGfuNx-tfmAMj","timestamp":1579142644351},{"file_id":"https://github.com/stevetjoa/musicinformationretrieval.com/blob/gh-pages/nmf.ipynb","timestamp":1579141881813}]}},"cells":[{"cell_type":"markdown","metadata":{"id":"cSKjEv59Mf8s","colab_type":"text"},"source":["Notebook adapted from https://github.com/stevetjoa/musicinformationretrieval.com"]},{"cell_type":"code","metadata":{"tags":["hide_cell"],"id":"g6tIuGZ5MKVq","colab_type":"code","colab":{}},"source":["%matplotlib inline\n","import numpy, scipy, matplotlib.pyplot as plt, sklearn, IPython.display as ipd\n","import librosa, librosa.display\n","import urllib\n","import warnings\n","warnings.simplefilter(\"ignore\")"],"execution_count":0,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"2DcFWokoMKVx","colab_type":"text"},"source":["# Nonnegative Matrix Factorization"]},{"cell_type":"markdown","metadata":{"id":"i6p3e0vvMKVy","colab_type":"text"},"source":["[Nonnegative matrix factorization](https://en.wikipedia.org/wiki/Non-negative_matrix_factorization) (NMF) is an algorithm that factorizes a nonnegative matrix, $X$, into a product of two nonnegative matrices, $W$ and $H$. It is an unsupervised iterative algorithm that minimizes a distance between $X$ and the product $WH$:\n","\n","$$ \\min_{W, H} d(X, WH) $$"]},{"cell_type":"markdown","metadata":{"id":"fFS2CTp7MKVz","colab_type":"text"},"source":["If $X$ has dimensions $M$ by $N$, then $W$ will have dimensions $M$ by $R$, and $H$ will have dimensions $R$ by $N$, where inner dimension $R$ is the *rank* or *number of components* of the decomposition."]},{"cell_type":"markdown","metadata":{"id":"XCmFbBpsMKV0","colab_type":"text"},"source":["When applied to a musical signal, we find that NMF can decompose the signal into separate note events. Therefore, NMF is quite useful and popular for tasks such as transcription and source separation.\n","\n","The input, $X$, is often a magnitude spectrogram. In such a case, we find that the columns of $W$ represent spectra of note events, and the rows of $H$ represent temporal envelopes of the same note events."]},{"cell_type":"markdown","metadata":{"id":"mZKXV-gfMKV1","colab_type":"text"},"source":["Let's load a signal:"]},{"cell_type":"code","metadata":{"id":"C-tj5yHSP5Wv","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":86},"outputId":"9ef8e240-8618-49d1-94e4-a746bfe0a523","executionInfo":{"status":"ok","timestamp":1579186454159,"user_tz":-60,"elapsed":7322,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}}},"source":["!pip install -q gdown httpimport\n","\n","![ -e kotek.mp3 ] || gdown 'https://drive.google.com/uc?id=1DDERnPF7sBqfy7UBnWZMlrEOQsLizBGE' -O kotek.mp3"],"execution_count":2,"outputs":[{"output_type":"stream","text":["Downloading...\n","From: https://drive.google.com/uc?id=1DDERnPF7sBqfy7UBnWZMlrEOQsLizBGE\n","To: /content/kotek.mp3\n","\r 0% 0.00/687k [00:00\n"," \n"," Your browser does not support the audio element.\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]},"execution_count":4}]},{"cell_type":"markdown","metadata":{"id":"HsnNt89pMKV-","colab_type":"text"},"source":["Compute the STFT:"]},{"cell_type":"code","metadata":{"id":"Z-no759MMKV_","colab_type":"code","colab":{}},"source":["S = librosa.stft(x)"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"tags":["hide_input"],"id":"eR-yvDEYMKWB","colab_type":"code","outputId":"c129118e-773c-499d-9037-7de5e3a07588","executionInfo":{"status":"ok","timestamp":1579186493715,"user_tz":-60,"elapsed":3518,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":319}},"source":["S_db = librosa.amplitude_to_db(abs(S))\n","plt.figure(figsize=(14, 4))\n","librosa.display.specshow(S_db, sr=sr, x_axis='time', y_axis='log')\n","plt.colorbar()"],"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":6},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAvsAAAEJCAYAAAAKM+jBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+LYxFt9b/rtWIWgo+gqPG/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ALzK6oVRSi8Vxcy6wN3UNCGySSPDznL7LFRVql0aknskkl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QGt9BbgE3Pn9zvVjd/aFEDuEEN8WQpwZpCf+68H7/1wIsSKEOD54PHLdd24WQjw3OP6kEML9\nwf9JE8YN/GCZvfYwjdDgpoqNYeToqxaOPYEjUsGHXGYXUZwO/KIzjWNPYEibXZWHiXWfWAVYZpnh\nzL7viXpdv6C9V7v+HOJHcD5NwriZ58iIySeLRzgk9rI7dx83Zh7GIo3GTxRuS+k70WTlML5qYJlD\nFLL7kMLCkDZFCw4PmRwpl5hQu6jSRgiDrj+PbY3R1KuMFG4m54wyUrgZS2TZUXmQsrmTsdJdTGZN\nIiUYz0imsw7r8WkUipIuMld6gF5UZbn7PENiB0NyJ3l7nFaUOkBh3N7GP1Zy+7nZ2kmoNAJJqLoM\nZ/aS6IjZ4gcH7WYyWrwjnax0TBw3AEWje5rx/C0cKPTZXwiYysLfH/sfU32AZIXZZDedZJ2j5f8c\nL6yxS+0jTnym9XS64OhpDGGRk8NMuRF3DnkcLiV8YDTDtJrjUClDRMRU8W4q1hzTjCKQHNBHUrpK\ndxemtrgh/xC+brEjE7Iz53OgEPORiTwjjs1k1mDMcbjSf4ax/M1M2bcwxX48HXA094tkVY6Sk+Lf\nhZDcbKYRkj0Fmxk5Qhh32PBOYwiLZu9Ser2D6GbGmcGQuTRqKwyUCuj0V+hS495xkzEXCqbJXdm/\nx87M3Snu38hhyAxjpbu2HfAgXGeyfC/9cIM4aZOxKmTdWZKkjZQOLe/iNgNFx7ucFnVFVQrZfSgd\nM5zbTz6zm53lB7f//p5+q9U2pdu1RefNG4B3m117N+Nzh56kZCo+MuWyv2QzmcxwC0eY1tMUGKUi\ndlBRZYK4wwT70CiyOsOwtZe8NY7WmrKVcM+oze6iycfKv8E3W/87p+MnqKgyc+69WGTYDM9SVmNU\n3DnG84fZUXmQZpBwUzFkwlWUbcEvjn6WO+TdNL0rTDqHcZ0pKpndjBaPYsosFXcOy8hjGS6GtDGM\nIhYZOv1VJsv3IkjvtWEUsGVCM5JMuQm3VOBIucyB8qcAGLJ3fY+o4Fu244Bq890EI5SOtr9nScFH\npy0mswZSCGbdO3F1niPZTzFk7aaQ3cdE6R4WGo8hBoXFftTANeAf7syhgTuHStjC4qpYZil4hbps\nEOs+eWucrtpipHg7jlEkjNv0kwZSmihgyI759I48N1YsPjX8WSIR0qNBKAJiAiLl0aWabhRQTJbv\nxY+hF2s2+1BlkRONPybUPkvBKzT0EmUxTS/YIiMqOPYEplkhGMxZGWcmpWkWJtNZh/tGu9xajrmp\nIpl2Mxwwp7c3VSUm2KEnsY1cKmjUfBzXgAfHPR4a7zKb1Xy69BF2uDn2qX2MGDn2VD7BDn0je8qP\nUHHnyFFhh54kYyTsL/SZcBWfGT3IznyGnyn8Q4q2pKSHGBFFhpIxDuhbKaoSU+xnMnML/2LfbyAF\n3FzOU5cN9qg5FlqPs9l6gWE1zk55G6Z0aMZLNIPFtA8KB8eeYDonKdkh943GHCppbuIQkxmbm9wJ\nLCG5zAIJCRtinpwu8ZHSf0tBuhT0ECE+vm4BsNJ7maXGE2y2X6Yhm9zKXUwZKb2nZWSwjDy1bjqn\nLHWe5ajxEWphSNaMOVwKubmsKBg2H88+wP3OJylYFnuy97ObdA05XPllbG1jYDGc2Us/WMW8LnCQ\nESYlS/NfjP8jxjIWZV1gRVzkSuNRHDKUzGkcLBIdo7Ui0F0U1/DsC1wfwHizj/BWWa8D7ghlK+Fn\np0t8eGiMnfom7in9Uy5xlYP6Bg5xB/eXfo0FfQKBpC1b3F/6NRr+FerhAp1wlTVjmSFrjjGxF1um\nvsySPE/emiCfmaPpzSORXKx/heXmk4y7N5IxKoSJZEehw8Fil1vLCXcM57nf/TRT5fsYyu5567E8\nmHevPRuDLC6k63NKmR0QxXVK1gwOWVa6L7JHTtCgixCSjfYL2FaFojFBLbyE1hFD+UMsh6+yQ+1n\nWA0xrnczrMbZGNTK/STbjymy/3Y2DSxd93p58N7b2l9HgW4M/LrW+pgQogC8IoR4fPDZ/6G1/u3r\nDxbpqv/vgV/WWp8QQgwD74737X1739639+19e9/et/ftfXvffkhLtW/ekYLuiBDieuqz39Va/+71\nBwghvglMvMV3f1Nr/bX3fpVvtB97ZF9rvaa1Pjb4uwOc5fvvSD4KvKa1PjH4Tk3rd6bCo5SP1oqc\nKYk0FCyNFA6rrWcIo9dp0/ph/Q3c30G4zph7I2u9E6x7J/GjOonyaYXfi8cT0n6Hv/z7XOd1nLw/\nKHJ5PV76e65FyDR1LzPcWLG2ac5Wkyazepb5+Hka0RV6/WWyokIxs5uJ0j2sesdYbb9AFNcp27PU\nOq+lUBiV8hJv+opRWeBS8iyR8jhY+TR78h9K8cvdUwRxh3Z/iWp4gURHzDe+DkDJFpxtywEzQ8Je\n4wMABEQondD15gmjKmfbf85mcoGN9ks0uqdTLYOotp2OHzZ3s7eY3p++buPKIjMcSGEORIyW7kQI\niS0yJKqH60yidJRSd1pjFBil7IT4SQpp+5PNf8Hh7AgKxbidwZVFijrPSO4AEkHWHkmpEP1LJCLm\nUv1rGMKiaCUkWrDWN2iEcLhQJlAwQoUD+lbmG1+no/qsx6dJSPDCGiUxgU8LQUqLaQq43M3QVwIv\nFkgBy72EXpzQ8xcoyDHmvafwRIdnWp8jFAEv9/6U9fZL9IMVtFZkDMnJRkKgwFMxM7k7KLjTlJlC\nKZ9YB/T8BbrRBv1wHcvMkyQ9kkHfsow8ftKgYCqaEWyEffLCYVJNb0fCTSOL1gkZZwY1YKMCKGZ2\n49hjtLz5bRx5HDexzDK2NUIus4u58k+/oV82vXm64SZ+WKXCFGHS29YveMt+LN3/n703Dbbruq/8\nfnuf+c7DG4H3HmaCIAgSHGSJliyRpmm51e525Opy2eU4TsqVdFW6U5WqLudD8rEr3+xOVaocJ53Y\ncpetrm5bliyLokZKFCWSAkWCIEEQM/Dw8Mb7hjuf+eydD+e+S4Dm5GqnRTtvoW4BeO/ec+8Z9r77\n/Nf6rzWujr3Tvee9NOPvBc2HD+wqmxabsUGioB1r9jkFWrrLef0i14fPEYgeEQnDYBFPu1zb+SqL\n8irX2l/Nk58NSTfJveS3Qo0lcteomr1AV/S47v8AS7jE2ZC+bLPc/h5+uo2BSawUllR0Esl2pCha\nEtuQ3FN6ikY2RRitUpRNhnELrTM60RJh2qFkzmCZJYSQLA9+nB8/8rA006yRpDtkWmKIPEAnt/kD\nJRTb/XMoFFJ64wq8bU3cFQY0Piejiv7f1k1p93xthymmgDiDS+IyVd2gqZpooVjqv8QguEk/XmOy\n8iiWWcqtfuN1DJGHzV0fSDqRZp/rsl/nad0b6go78SJCGHSDWwBsDS6Sph0G4QZx0iPMMjqxSaIF\nW6HGMyUhQ9b8c6zot7jdfpb17kvcan+bKOkyDBbJdErFhgknty608Hio/t9whEcoWhMEWYeALgvl\nx9iKrzLh3UOS7jAIblB15xFCUnBydyTPFJSthE5iMEhzB5ayJRnoiH3GSW6GL4z6JPLjOl97kl6s\nmfICXDMjVoJ2pJgpSCqWTc02yXTCirzK7eEZVro/wsDkllhGI9iJLTqJJB55qveSmM0wZUVcZaBi\nftz9Qy6Jc7wW/XV+DQ5/QtHULA6gHSlOGHklfLryaJ68LQJu6zcJ005ux+xfZWd4EUeUiOJ1arZm\nK3LQCNZDydGKzY+CKzzjf4vnk2+yEr/OQA4wcfC0y6pcZYVNfNGnr1sM000M4dAoHBmxgAlSS9bE\nFkPRyc9h0qVgT6BUhOvs4zPF/5qyYdGwbMLMYJBK1kPJ4YrFxWGHW6yxk0R09Aqbqs+rnf+HPi3e\nGHyFjGTcA3Vn/07VNlkPJaaAFT+kYTnM6qNI6eGLPhvhW3nQYDbAkA5rnRfYXYZYZoMk2f7QTjwA\nRUvQikziDFaGeVjkhfRZAnpc4xbf6fw+O7LNevclDqrDrGUXuMgZwmg1D0m097Eavs7Vna/wZu8r\n3O48SztaxMDidvtZDGFS8RawjCK2lc/Tk9l+TBy2Ioflfgk/NemnkmBk/6N0Qju4edfnfK99upO9\naJqHkcLEMicoeYdRKEIGHCn9PJ00YkuukaYd6qWTSGHiqzbtwQXurf0q+41TnDSfZMooERBR0kVS\nMuYrj33oY/nTwoes7G9prR+94/Fv37kdrfUvaK3vf5fH+y30V4D5O/4/N/rZe+KnqtkXQhwEHgLO\njH70L4UQbwgh/lgIsZvWcw+ghRDfEkKcFUL8Tx9y62/bUQL3V3wyBdMjqzatU273XqJWPEGW9YiT\nbSyzkX+Beocp0ySK10kzn7IziyG9sVXZnbq2D0OB/13i/W4GtFb5oi4bYgjN69uKbw5f4/XgadbF\nJv1whfuMJ1AqwNdtOsOL9OM14qQ9/lKO1QDHnsK1qoSZ4D+2X+Vscp3btHCMCqmOqOoGBV2maE/l\n4WLCIoxWc62t8HJ707SHa2jW/Iy3OhFf6fzvlHSBi4OvsyNb+GqbicrD4/6AXKNvUCkeJ4xWKRWO\njvfL0CZNR1O2JA0xz3ZwjYSETCcUqbNf3keStvGzPASk6uZjoBvcIk5aeLpIkJq81bN4q5PxVO1f\nMUwVs/JeADxZJyMjSLe5Is8jkPwkeZqjhSe4Fv2ISvE4S/2XiDLJG12PVR+udENaQcq5XhtfR1hI\n9tU+TUd2qZkH6Mk+FW+Ovm6x2P4WF/tfI9YB/dTg++uSlzYFL271uex3OJ/eYC3N9Z89tcaEdw83\n/R/hOXNscJ2Z8kMoFSBkrl4zJYRZxoVen2d7/wcGFpmKKKky8/Unxx77veFlCu4cSTrIG7R3G90M\nj8PyY/RTycvbA573v8g2fVqyhTSK1M0DNL2jbPZewTHLdMJFoqTDevcMXf8qllFEq3D8PpDfHFS8\nBaSwcMkpZctsMAiuM1U+xTBcpuzup8sm2/1z7+l1r7X6Wy/o3xcfkGl+58I21ZrXthUvbMT8n8v/\nmivxJjtynVl5L0eKj9NObtGVbWxrgrbMFwo32k/f9R7DTHB2O+Hp4bN0RzdeU/ogFhZRskk7u80w\nWORG73t47jzb/XP00w3qjskgNXh1K+MbwXe5NhywHPeYUJNkIsM0awSqjRASQ1j0/av0hpeJVb74\nSNMOJXeWOGnhJ5sYRmksH9iJLSqm4s2O5DurAZe6IT2VNxgP000M6TFT+RiQN8t67tvfIbvFhf/U\nc/K6fpNlX3KlH3Bt56tsyw1uycv0RIeSO43WKX64xGbvFaYKJ9Fa4dgzKA2DVPJ0+wZvDndYDUNi\nnbBQf4qKMYMfbTBI1mkW7mGrdxY5Kr7ESYss67OVDQmV4CvLfV7rb7MU9onwOVT4FJlOcJ19zNUe\nxzCr42bnVvcMMy4cLSXUbJjQ+3mt/QWmjDJ1Oc/PGL/AUvd5ru18FVPapDrCsfPCnBQWaRYSJbk8\nxTVgM3RZ8gXn2xGDRLHihyg0EknBmqCvQwpmk1V5A40a2TDaXOqW+NFGymLYY91XDNOUTEFDz6JR\nHC88hZQel/3vUNJVNiObr6/Av19t8dp2xLP+mwgES1l+Q7khVzHMKv14FT9c4rb/MnG8SagEf7L1\np3w7fI61ZMBFkVuX1pwFVrMLBMkOveA2SbqT92dlQyI9oFI8DsBPdlx+vGXwxZ0zvNjdJBUJRaPJ\ng/IJoqRLyJB2nC8iLRxea38BqSWpjgiSHeaMU4Rphyhps1B/itd6/54r4fe52f0unjNJ0zuKJqPg\nLuBZdYqGxc2shWNIbgxdvrUKf7L1Bt/uLubjU9v0GbKP45wNvozjzJKR5qnT0SU8q4HnzI0KY28X\nz4JU83x3nVf1D7metihoD6UCDG0yDJe5nrxIZ/AWYdrBMCpjQ4N68Ri2PY1peO+qz4e/qePXGl7a\nzHhtJ+Pr/l+zHPhUrFkaepaSrlL0DtLWt5mrPU6XATVzfmxJa5kT3G4/SxjnvTamUQCt6fu57OhY\n4/O5pa90WJAPjt9z01hhkLW43Hf42mqBv1ou8B9v9/hBb5lvdH6PzcGF8RiAvNcgTtt3fe7dooAe\nGVJYZoNbwxcZhovESYtJ9142/Ytshpe40vs6CSmzWd6In6qYNAvZ6L8KkN/siQ4eDt0sYkMuUTdc\nLgTfYKnzvfedT37a+DB6/f+Pffj/Gvh1IdmMAQYAACAASURBVIQjhDgEHANefr8X/NQW+0KIEvCX\nwP+ote4BfwgcAU4Da8Dvj55qAp8CfnP09+eFEE++xzb/OyHEKzlt8vct8mAPe9jDHvawhz3sYQ8f\naXyIqv7fhWZfCPF5IcQy8BjwdSHEtwC01heAPwfeAr4J/IsPUrz8VBb7Iu9C/Uvgi1rrLwNorTe0\n1pnOy/H/N293Fi8Dz2utt7TWPvAM8PC7bVdr/W936RIQuCP3nJ0opZ+adBNBqiMmK48ihEmW9eiH\nKyzUn8KQuY1je3CBCfcYls4rRAKJwKBgTyKlc0cD4UfbyOj2UJNpTTddxrPrXPa/Q5p26Mku9dJJ\n1vqv4tgzDINFqoXDY5nGIN7geOEpTFkgyDSnOEVPr/Na+wvMcz9df5G23GKVSwyivAoQp3lCniU9\nFIok2SRVEaYAQwh8lZJlQxblVRyrzpA2nqzT6p5BqRSBpOLsx5BFStY0teKJvEFv5FZSVxOEo8tY\nkVGwJzAwxymgIUOUitjpn6fkHWYQ56FpmQqxzAbn+n/BraHLxU7KD5MztMQW61GAo13WYp+h2mbd\nWCVI2rT8C/TC3I2prKqkWUBveJmyu4+t2GRpmLdineMMZ9X53FWDjK7Oq7i+6HGj/TSb+iZN8zDL\nnefGLjrbg4tsxQY3gx6vB2soNGtykWuD77Jp5Azcjn8dV1bJVEjRmcorhSO5mWPltoTG6LjekBdQ\nKuDW8EX64TK+HBKpAbWRI0tuS9qj6ExT9A4RJjsU7En6/lVmRI2lIbRki6IzyfXsDKvpG0hhE+oe\n3Xglvz6ijbGNoGvPYBoV+v5VNJqJysPjRq1dK8e+f5VE5OyTbVVw7Bk6wS2EsLCMIqv+2fG19l4W\nnB/UVPt+UrZ34oPcZXZ/v/tZfhC/zAtpnoR8tvdnLPVfos0qm9k1tvvnWM8uEidbLIYvjSubu9uQ\nAjZDgSUlO/5VtuU27eFVEhFTpjhujq4Uj3Og8nP44RLN8mkKZpN9BYONyGQzDlE6Ydm4yZK8SESM\nLwY4Vo3lznMMg0XWuy+NGYko6zEMl5mpPoYpC9jWBF3/MmV3/3i/okyQacGftr/BVXmVb3R/n2Gy\nRa1wjPbgAmUvf+5uEJQfLo0reI41OT5W71W1BN5V+nMnHjVO0Y41W+TsxFrwOpDb8OWBcwIhHAru\nAon2KdlT2GaZKNN0EsED1gEuqx9yXVymKBwm9QJb0ZUxe7Hezc9H1Tsw2u8JXGeWnuzSiQVVw+G2\neIs31fPcaD+NxMBPtvKGfx3k1VEYj52KpWjHBsMUZmWNicrDJEoR0CUZsU/31X8dQzhYskDRmcQy\nGyOmNE8D9pw5pIA3ex7DJJfcXUrX2KaPiUSh2Oy9Qk/2MDCJdG6rGWaKC90itwPJdMGkLXfYiiKu\ns8hOHLOk32BjcJ4emzhWjbp3iDVxjY3QoBMnWNri2eAv2E6usSRWWdJv0E832Fa3SNMOxmj8hPEG\nRe8g/UTwi96vk+mUbblJL12lKCfYCa/jJ1sMgps4Vn7uo3gdw6iwOXiTKOmSKfjS9hWu9AMsUeC6\nyufkVEesyzX2Fx/FxGHefpRIxGSk1IonSEWCQnHce5KUFNes4dpN6uxjX+XjJKmPynxK1jSxDnCM\nCrZRpD24QKwyqrqCn2Ys+5L1KMDAwsTkzfYX2RRLXFMv0xKL7Cs+TMnJWZeJysPU7AXCtINlFkfB\nc/lcpXWealvTZYJkhxX9Fltyk8P1X+b68Dm0jhhGGzTKDxKnfaQwMbCYqT42ko+GDMNlXKsxdrob\nj413SZgOM81fdf+YF5IXmTFPckmcZbnzHJeiZ1kT1/DDZWIdsOlfoiu3sbWH5+4fqRUU8/Unx0xL\nyZkZB14V3AU0CtuawI83uZr8iOZonupl67T9a3RiwZudId8f3ODF4Z/xWvsL1EsnUcrP1zijsZym\nnTFzvwvHaiKFhePMAqB0RN07xP2132Sm+hjr/hvMFB7gMefzPFH658w7ZdaNZQruAjV7gThpMVv+\nGEcbv8LH5CeYULOsGLdpyRab0WUSrZgrfoyZ6kdfxqM/xJ//5PfQ+ita6zmttaO1ntZaf/aO3/2v\nWusjWuvjWutvfNC2fhpuPAL4I+Ci1vrf3PHz2Tue9nlyf1GAbwGnhBCFUbPuZ8jvZj4Akvnix3Hs\nKe6pWryw5fDidod+vEaSDZkonwbAsydQOiFJd0izPkKY3Oo8y8XoO0xUHkbpCFt49EY++1qrkQzo\noxufJoXF4tAnUoqdwRtUzXnCkTXk+fafYkqPNO0ghTlyaZG4Zg3DKNJwj1BQRYqySScaLYRGrkWB\n8KkXjxHoLpYojHoE3tb6tvpnKVKn4B1gENxACFgJfaZtF8+Zo53cJM0C1gevIZDM1R6nM7w40hXn\nNGuU9VCocbonQFe2udjR3PIDlsKXmTMfpCu3cewZWukVbgxzC9pD9c8hZS5xgLctJw9Xn2QnkRRN\niYFJQoQvAl7u/F+0ZZuGmGc5eIUoXmemcIok7dL0jnI2+DJBtEyteIIw7dBPJWEGrSAjUT7TagFf\nJyyK17mofkBJTrLi5xTlcuc5hiqPFbfN3PXhcDUnpAwMWmKRW/IKE3o/mYpZD87TLJ+m7O4jVN1x\nJPn64DXWOi/g2DNjnbstBRf0Nfbp3DkhSbtMFO9jKXmFVvcMxshyUeuUNOvk9PJI6tHxryOlg2tI\n3uoEWNjYssR2/xyuUafi5b7LtlEcU7qN8ikcq/Y30lXnjQcxZDF3cTKnmTLuwTRrSAwK7gJN9xi2\nWSZTIYa0ibI+de8QRXt69Lnfjl2/E3f2sLwTQsj3lLK980v2vWAYxbsWpwKRyz60Zl4dZ7t/jkrx\nOCVvgYo3x1L3OfrRKiXvMFu9/GZlGNzEGo2deukkltkgU7kUKM4Uc6VPEAmfWiF3HfJ1lC/IDY+i\nNcFkli+wy+Y0y+3vkWrNii8pG/n5iPSAEk3W5HUu9b9O3TkIQHN33hpJbdqDCxyoPMHm4AJbvbO4\ndhOt1ThFNk5aVK0MR2oeFJ/G1SW0VvSHV+iOkpR3+udJdUQY51rmWvEEBWeWgruA0unY2nb3On43\nfNAXW9U2+IPb/xolFForhsFNZvQhrgy/gxQWnjtPwZlFCpNB3CLTKaa06SWaMMsTRH/e/uXxGDg/\n/BqJCih6B4nSPqZZxzHKJFm+YFYjWdCAbf6sdYOCYdCOFjloPEKteIJI+JTtWcJoJXfviVbzNPWR\n/7zScKUveWm7y6JeH53DhKXuc5xJvsbB+mfZzK7hGlVMHLr+LSyzNJ57GuVTxGmbTMN2JFjxE34w\n/FMMbZKRFzhuxj9mtvZJ3up/jcX2t+jHa6Q6pB3HXB8Ilgaa24OYw8zR0yEX23/ON7r/G66scKT0\nODfbz+CHy5jCxcQhVAJHGpwN/4pBcIMZ8yRvdb9Mq3uG9vAyfrw5OlcZzfJppiuPco/9aWKVF4bu\n52fR5N8ZregSUdLBD5dBZyRpflwts0GtcJgk3SFOWggBjxePEemUA9khFuSDec9Qukkru8Kt3vPc\njl/hUv/rrIsb7OjbGNJhqLbzz8Uq1/zvYwo3zykQPQ7pU5wo/SOEdNnon6MX3kZgEKZdBILXR2qF\nuaKJFHBOfZf92TwzusnRxq/kuvTeWW51vsOt7rNs9c6y2vsxrqywHV7NbxjSfi6NvKNo14s1FdPm\nuP04DXmAm+ELGMIiitc5Xftt9pc/RnuQp/km6Q6RGhCrAZ6sk6ad/Psm88c2lbvHSyD+hvtYnGls\ns4yfbbOWnGd9kLvPREmH2+1nma3+LK3uGaQwudr5Gj29TsXZz77SQ+O1h2FUqHoH8Iz8RmxXCne9\n/TUcK1dB94aXmRJH89RmcT+N4nH2eYqnZovUVYODlc/QKJ8iVTEz1Y/TKJ38G2P5zvnYNDyUTsa2\nto7V5ACnqKla3tvlTHG7/yImgprpMEwzHjZOcNj7OWI1wLYmmONeuukKCk2DMrH2mdezeWK7zijp\nGt1o6X3nk582/jP67P+d4afhxvNJ4LeA80KIXX+l/xn4DSHEafLjuAj8cwCtdVsI8W+An4x+94zW\n+uv/2T/1Hvawhz3sYQ972MMe/n+P7CO2mP8g/DTceH6ktRZa6we01qdHj2e01r+ltT41+vk/1Vqv\n3fGaP9Nanxx1KH/IBl2wtMOEdw+uIfjc7IBDXoWiPU2iAhrmQeZqj5OqkJXOD+54laJZfgDXrNEP\nV6kWDtNNlj/ysp07oXTCi9GXuKk2mK89yc32M0xUHqYX3Ma2pkhVgBjJZArOLF3/FpmKUCogyNpc\n0y+jyThUFjQciyk9x4P130YiacoDFKmPGvsclAqI4428Eq0VET5VJ5cDSAG/OFOiZEsOFT7FfcYT\n3Od9liOln+dG+2na0SK2NYUQJqnyMYwivSBPhtyVekhh0VLXWAkDslFF0NQmK8FZonidOBu+XYEe\n+VXvVniVipivP8nt4RmKhua632O5f4YZNctQ5MFiGSllVWXavZ/7a7+JQmFbdZY7z/EJ79fyZOGk\nTZR0sAT04owwUxwVP0MoAzIyTOFSMJpIYXDQyx2HDtd/mdbwLSYqDxNEy3kFNblJ0VDUTIcSTbrp\nbSSCsrsfy/Aom9NkKiJSA2aqj4296iGnz6NR0JUl4T6O4mibicrDzFc+lVPJOkUIk+3+OQojVxCt\nFXE2JNMptjVBmuWSp26acLzqkZLij1wpYjXAFA4g83RQa4I42aJhHUaplIKb07CQU9OGNomTFkm6\nw+3eS/T0OoZ0sbRDzT1IO1okiDYBSZxsYUqbfrTGYLQff9fs2Pul496JLBveVb0yzCoAjpQc9aoU\n3AUGwRKOUWYYtZgqP0wYreJZDeqlk3hWg2blIYJkBylLDKMNknSHjTjkaEkzW8hp76lsP5mO6LCB\nhUknvEXfv0pFzmJiYBhFPKocafxTTCGY8TSWFNTEPko0SUVCqHq4VoPlznPjNGcpHeJRQ7cQJr1s\nlaKbO1D1hpcxjMp4vnKdfShg0kmYdT1cXWCm+hhF7xDz5Z9lZ8QAtLpngJypC5I2SebnfuLx+ojN\nkePK/7vJqN5P4gN5lea3Z/4XqqrKbO2THKz/IxSaKF5HCpOCPZHnd5hFitYE24OLDKMNNsMER8J8\nySLRigqTmELiWPmYHQaLpJlPnLTY7L0yTrJO0w77ap/mFKf47ZnDVB2DQ+4nmaBOqiIKuoIn63ju\n/JhFtI0inVFFcZjlLN6RQoXX2/+OKeMeQhFiGmVK9hTL/TM4skQ/XqVIPc+buIP1ksIamzccLGZs\npkPuKT2FpS2W1Os4wkSphKY4yAOlz9Mon6LmLLDWeYFvdH6PfV4+fwY6xVcJr8fP8Ejtd5ipfhyA\nrl5HCgshLDb9i1SYpGLmbkP3eZ/lRP3XiEWAaeRN+1pHlOzpUWKulUupOi8QiCGuIZjyLCSCjl7h\nY9X/lt7wMpZRol46QaP8INXCQQCqhYO585k1hW1NoTVMuAJHmFwSZ5kVTRLtM2vlwYpSmNxrfQal\nIzb9i6z3ztAPV9nov4rr7GMrvEoQLTNMW1iGy/XON0nJ8LSH1glK+YTRKu0gD44qeAcoyibzXoE/\n3voSDVvzgHySS+JVEq240X6GG+2nMc0aQjgcrv0StjVB2V0gyDpjYwApTLTOWaZK8ThFSzBfFDhS\nIpEshS9zyP0kq8FrNMuniQiIdZA7qpk1hJCUjRmikYR1F0Vn8i7m0TBcTLNK3T00Hq/53/CE86tA\nzs4VnGkmK49SdvePjS7mao8TRMuYRpXlznOU5BQz+hBJuoNBLkOelvdwZ3Bqo3xqtF8ZntXANGv0\n2GR/9dNsiiWUTrClpmppFJr92YERC5zrZO80Xcg/593rHtesUi4cG88/tlFkibdQaHaGl7FliYo3\nz1V5lbW0T8kymHINOnqFjd4Z5kqfYFVc55B8hB8l36KthwyyFrY0uK/+69RNm9faX6Dhvrvf/0cJ\nWn/w46OEn0Zlfw972MMe9rCHPexhD3v4ewfNe+XAf3Tx96dc/beGJmRAUxwgGZ2Vg2VJq3uGYbBI\nK76IJQrYZhmNplk+zYFRhLMpHDr+VaJ4nX6wQntwgXrx+F165TsT5N4Nd6XifkDz2vh5o7voD9r2\nrm/u++EXvN9gSjc5qu7nWOPz1Mx5DGlTsJu0BxfGDUN+tEa9eJR01I9QM+epmfOUmMAQMFuQvDr4\nc+aZZlI1mdPzdPU6RXNyrCPerZKaZp2d+PpYm7erWbME7FP7qAqPsi6jhOJo41dIUh8pTQyjhFIp\nWqd5Kqm7wKR7nJnqYyidUDFmOF0vsCm3mKg8ghKKY+5n8veU9qhSZeJqj2HUGp8nKSz8dJuZwikM\nobm/UuU3J/4FZcPmRvhDZsuPMKWmqIgC7eQmW/oGvXiZkjPDVPXjuMKmPbxK2d2Xe8lLjWtIHCmp\niAIRAT3ZY2PwOr1kjevtr9HRqxS9g6RExEmLmplrqyet43SDRQqG4mDJQiDpBys42ibTKfut09TZ\nR3twgUG0zqQ8ij2KpJ+sPHrXcbYNqDsmHdll0jhKiQlW+j9hwj7GZOURCu4CrlUbJdKaZCoiyYZk\nKmB3ivJ1RDtSlFSZB81fpF46yVbvLK3+WeKkhS1KFJ1p5mqPk+mEIFomSQd5ZVB6aJ3SlVs0yqeo\nFI+TZT2CrEMUr+NoN28cDRYpubM0Ckeol06y0z/PrPcgBXtifM4+CJbZuOt5H4YNeLcq8/s1/UqR\nN+OnWjNXNGi4h3GsJpYsECXblIypXJcvC7hmbVSxzC0Wc9verZz10AmhEkx5goPqGB42k9bxPIVT\nmFTcecqFY7nXtxxQKxwjFQmWdhgkmnYsqDsG98qDtNVtAtVGCou6e4iJysPEOmC7fw60Gjemap0i\nhYUp7XHD8GTpJNVC/u+KO89mZNFPDaJMcUu9hp/uEKc9UiJMo5o3+XmHma48jFIBnlVHa0UQLY+9\nz9O0jRj1+Lxbz4RrvX+/hJ8qlAaNYkocxaPCleT5vNmz9wod/0Zuadp/k83BBU5U/glFZxqJwDWg\nZgt+lHyL/XqKRGeE8TaKZJQQ7SKlg+fMkWRDpMzTXfvxGlXbpGYpplxBIiIK0sQxKzjapZeuUnH2\nIxDM158kzoYMghtAnk/ScASJ0hysfxZPF2nLLaaK91MT+3M2ThSo2HPMqGmK3sHxa6V0aA+vja/b\nRAnmnTInzQPYmHhGnYEOMaXDRnaZTbGUn0NyxuRY4/O5dfJwi2nb5ZZxk+POE9zMXmYQt2j5F3Id\ntTBRKmCqcBJf9Jh0EqY8gwY1rvS+yY3ON9lfepQGcxTdg3iyjmPl1+/O4CL10kkm1RS21Ey6klW5\nykmdMwcFdwEpTeJ0SNGcHI+fQbROmHRyRi/ZJtGw31NEOsWTdSKdURfzTKm8KdYwXCxtIYVDEC0z\nVX6YOGmhVIBlFJFylOshC8TpEKUCunKHy+kPEcLCMEpI6RHGqxSdSaKkwwl9D1/c+gN+ufirzLgp\nc06RBe7jdf08jj3N/fXf5J7yL1F05/B0hSTdIUjaFMwmUyNmRI2+/0yzhmvWSBQMUqg6BgXt8Qn7\nv0AgmXLvY7t/jgHbDJINGuVTOXtpTiCFgWc1yO7QtAdxm3Lh2Pj/YbSaH7fkbUtLKT0cQ3Cy7hCn\nw1FzvU3bv8asdYqJysP4qoMlCkjp5GYNXp7EDvl6opfm2+3TYie8jmPP5H0Y5glmqo+NeuYMtE64\n2X6GsphiY3iegtEkyASDVDBtlvCEiUDiWjVqYj9ztcfvGre2NXWX176fbLHPfZBmKW9k7wU3MIRF\nVeQpx5qMpnWUCTVLRbi0oohMw1ZwhZ+t/PfU9TQlmhw0G3zW+xxNWcI1qmxlQzxdpGQZfK72u4RZ\n933nk48C9jT7e9jDHvawhz3sYQ972MM/RHwEZTofhH/Qlf3N6DIKxVao+IMrHjVLM19/kkrxOO3B\nBbbj65Ss6dx2ahTQlGVDNnpnxjaHSbpD0TuIZ9TROh3rwXcrjO9lH8id1cgPacG0u80PCuq6s7op\nhfWuVcuqbTLjOkzaHtvJNa7tfJU07dIZXhwHwBhGhZKX6+t3dX8Sg5Ku0dEruAa4huZni/8lSms2\n5CYSwVr3R/jZ9rgSZRhFpLCYLp2iYs+x0z8PQKJybeJzg0W+1/9DfJ2wJTdZi86z1H+BZvEYxigE\np+tfRakIz54kjNbYCq9SMvJjG2uffgISycPycZaz84QMx/ri3ZC0RCREyTaOlWuwq8V76AaLmMKl\namXMeDlTMcwSJt3jHFInKBs2Co1r1hgmW9xjfZph1KLVPcMr2XfJVIBn5M4GltDcVxMcrpgsFNzc\n7k2bWGaJOfshTtZ+g63hJSbd4yy1v0PBXeD24AyTlUfZSReZKZ1GijwUK6DHI6Vfoyf71J2DLMdn\nSYipFU/kGlbaVNx5pLCYMHInh13nI1Pk1eOWvsaN4fPs6Nu5M5IwKMlJprwTdP3F/Lp19uGHSxTs\nJlk2xDTKAFzUL9CLM2bNCgbGWHtqGuU8TEUPSLKASA242X4md2zIehjSpuQtUC+dJNE+pixQsqax\nrQka1iHmao+jhGIYt6iV7s3TRGWT/dZp5utPUlV5VX/3nAlhvp3a+y4Vec+ZfFeN+PuxZbtV7zvx\nfg4/u30IWkOsNDMcY7JwgjB7O2xuGG2yOXgTT9TZV/s0QXJ3f0AYb9KTfSyhSRXsdwsIISjoMoYx\ncmMSD9H3r3Kj/QwVVaZqzmFph1QkDFPNZqjxzNzst2rspxuvsDW8NHYXWeu+mO+3kDj2TK7zLp6g\nJCfZ6Z+nZuehZtbonAB0/OusBpLvb+Tju2EepGYvcLT0C3SiJUpu/rwJ9xhaK0yzRs1eYKJ47/hz\nAzj2NEpF72l7Gibv3S8hhMkwzdAatuU2EolGUbKm8eyJPNiq/HFqhSMYZhUhJB29ghCS6YJFzVI0\nbM2nrV/ikrjIJfEWk6X78VWHTMUk2YC56qdROuVY4UmqhaM5K+tfxTEETTtFaXjEvGf0eSSb4jbD\nuMW0vCd/TySGMJmqfhwhTPqJIMw061HIA5ymrMv01Bqt4VukImHGOpkH+qljpCiCaAPDKFIrnmCm\n8nGyrDdmN6fdlNmCQdMxuCUvj3qfivjxJoawuN35Plu9syTap1E+xXF9jEkn45/NTnKsKmmqaaq6\nwnH5c8w7jxBGq5jCoeDM5oGEWZuh2saSGgm8rn/EZ0q/g9YZG8Gb3Ix/jGvV6KWrOGY+/pUKqFuH\nEEgKBtRszVEOkKJYJg9kCsIVhuEioeqx1TtLpXgcNeqJEMJESI9ECYIstwHenx1gS+zQVE2W5DU8\nZ46ZwikiEWOZJQ7WP0s3vD3+/kmzgAn7GAV3IbdhHlXbA3pEI7ccKUw8Z5q52hMEcTt37FEJ/3L/\n/8BOHCMF1B3JhKjwoPg0RWcKVxeQGPT9q6xlFygX8mu7RBOtM6R0xhV3x6rRD1eIM03TgW6UYQmD\na/ICJiZLvR/wYP23aTKHRKJUmrOXVpVUh0RpnwLV8bW+axe9C9uaouTO4o8CsKQs5C5A5EzivPto\n7oSVdNE6wcLBlRU2uy8T6i7TlUcxjQKT7nEifBb165QKR8fztUIx6z1IFK/jx1u4FNkcvMFk5VG0\nznLrTOmxHL1GmvWps49QCYIMypZBmwGWLDCI1klERFm8vZ5x7BmieJ1sdM4BknRAN1uh498cXUcR\nh9VJtuhRdKZIVcRQbVOmiCEk23QJM83RwhOYSFKRYuGwkvRJlaZimTxm/AxTRomWWCRRmqpljRnx\njyo0eYPuBz0+Stir7O9hD3vYwx72sIc97GEPHxJ7mv2PDPT4zt4Qgt+9r0/JVGz6ufNCrXiCgX+D\njf45BuEag3CNbb2IYRTRWtH0ct1dwV2g4uxnY3CeicrDY5/n3Yqf0vG7vvu7xcv/bRx93k/PfKfr\niEbnvrfveL4hBCVLYgnBTv88BXeBA7WnEEKSZv44VEwikSL3ppfSo6fWGIgOTXGAsqlxJNjCIhxV\nXb7V+T0apQfw4y1utJ/GdfYBBoZRZmPwOkXqKJ0QJ1ukWnCsFPNE+SD3VX8VSxi82f4iE/YxJor3\ncVx/jFnvQUrOLOXCkTzkRCconTDp3kusfQyjgiNK/EX3a2zrW2RasTO8wqL/Io7VJE62x/scCJ+i\nm+t2LbNBP1xBqYhWdAmASUeTabggzuCRV/NeVWdoWA5FOUFveJmMdFydWTAfQusIP91mvp575E/Y\nioWCIkg1h9hHIIbc4z5BIiJ6tGgUjlCgzkz1McJojbqXuzBs9l4hVD3CTPIfOj/mXn0fhjZ5a/gN\ngqzNrH2Kbb1IycodMzbCN+n4N2mUT/2NayrTMOHAaR7jYOlTHNIPUCscIdMJy4OXsUQhD1wxy/jh\nUp4NoVImK48yVbwfKaxcI21I5ooWN+QFqu48Re8gSdrBkC7LnecQwmCrf46SdxjHqKB1OnYHSlWM\nrzq0umdwRIlm8TiRHpCRcDt7nQnvHnb650myECkMDEzCrMvrg7+kH668ff3qFEbjIht5pN+J3vDy\nXUzXbkVfSPeu50lhjZ1G3ol3Mga7z4W7x1mkMoYJhMJHo3CMytjXftd1aD14gzBro3VGkmxScBcQ\niLwKqSXTbkrN1qN900zoBicq/4RMK0q6QMFdwLKa9GReESzpKld3vsJVv0uqNDMudNKIjIQw3qZR\nOIImG7lspBS8AygVUXHnOGA+Sph2aYVv5e5aWc5y3W4/yyDZGO23ZJ+n+PiE5lTDZD5bYLX/Exw8\nHLNM179Bo3AEgYGf7pCmHVIdEWW9PHRw5Bu/i3djTQBKzuy7/hzAMmt0s4h+mvKQfZDX2l/gYvvP\n8WSdMNkhjFYJVY9MRVhGiTTt0I4WidMhNRuKZkbdzphw83NVYRJDWBzjY4Ci5MyyXx3jcPHTxCKg\nPbjAQv0pINfNNuyE+YIiHfnJzxongI/lTwAAIABJREFUAai5B5BIpkoPsNT+Tn6tCIeZ6sfZCPIe\ngyOlAp5pMBBD6mIerVMqqkFRVymrKrfEm9ySV1AqIMuGGNIh1RGeM0fJmcnZTTRHSpphqnBEmTJT\ntJVPnGwhhUXJO0TJO4wrqxTNKTKtMIRm2skoW9CgjCMMbEwykfdoNMUBCvYkrr2PJBsyLY4QZpLz\nXZ/D4iEkgonyafYXHmEYLrPVO0umIoSQY8/3lIiu7OIZmrKpqTv58X2Qn2HCOUa9dJKSdwStMzQZ\nJWuamdJDIz24hRTmOAfhhH6QllxnTV1i2bjJevAGQbRML13lpno1ZxepU3XnieJ19Cg8aSu+ih8u\n5Tr1cAmBINE+mYpxnX2k2ZA0C+nHq8RpD8+e4KX4ywSpZoseQSYIMp27mhk2rqxQ0kVa6hol7zB+\nvEWUdJkpPcjV/rfZHpznQDVn93MXGkWUbBJmin1uxlzJoM+Q5f4ZZvUEC5XPUFBFQvI5KFURzfJp\nMhXhUSVO+2QkVIrHcewZyoVj4zFjmY08YC0d0ijk7jJZlrvYJAqudROUULSH1/CsBo7VpM0qLf8C\nGs1a54WcPTZcQtVjefAyG70zeR+bk+d0FKmzHV8bZ2KsqUsUnH0MonW6wRJF7+Bda5FNfXPMiVYs\nSYMyBVnnfu8fs9R/gb5ujXsCpTBzBueOdUvVO8iOf33Mhjr2DLawqOgiB+RDOLJEa/AGO3RoK58d\nsUbJEqwk57giXuXN3pcIxRCJ4Hra4lq8zSBNcQ3Jo+JjvJxcppsk3Or/8D3nk48CNBqtP/jxUcJe\nZX8Pe9jDHvawhz3sYQ97+JD4qDXgfhD+AVf238bcyNwmVALPqmMIE89qgJBIYZKkO7h2k160MtY0\nW3g0y6epuvOYwsU28xTZdzpRZOmH7xrf1Vzfifeq9ktZ+FDb3HXVeWccd6Y1UabZiEMAXKtKkTqO\nPYPK+mid4jr76Awvstl9mWb5NAVnlrXOC+zPDuCLHsNMsBrAq9m3WZdr3Ah/yOdqv0vVnKPkzGJb\nU4TRap4iWjyGECaJyCsfjfIpogzWQ4t2pMhIWBErNMunqetp1jo/ZEtush1fo2LP5X0IOsMepZtu\nx9fZGJ7HMktY2uFB+QSneJSX4i9TLx4liJYJomWUivLUVmEhkQTx5jjhME07OFaTBftR1kOTq33B\ndqhxRImqznsvmuIAEri+89cAbIu8qn+o/jkqqkyj9ACdUaUmVILbgeTNjqCfptymRVNNMqWbbER5\nqHOiAjKRsuNfpegdZFIeZbP3ClJ6bPXO4meCz9g/w2v6BV7q/xGOVaVoNKmpiTw1VDg4Vo1MxUhp\nst17jeXotbvO7U6kuDWAbfqshq+zIq+O9b8TxXtzFxfpEcTt8WsK1iQaRaojEBLXavC96Nu80e0z\now8zTLZIUh/P2Zd7qyOwDJdDtV9iENygHeQsw1T140gkff8qSTbAdfZxs/0MJTmFicPm4AId/wZl\nMYVjz1C0JqipKUqqzGbvFWbLj1ByZsZe1fD2mNKjtNb3vd5H/S/vZM6UTsiy3libnzNOuTNKlg2w\nzAaus2/MHkE2/v0uWnSwDXiz/UVut59lrfMCUpgM1dZYZwyw0z+PH62g0aSZjzTysfpq54/wU8my\nnydHr8pV2vQo6BK2MLghryCFybHik/iiTygG7Mh17qv/OiXh8NXBs7y8lWAJSS9bJ0l3aMgDDLLN\ncR/MMFjMr6X+WUKGRNEag+AGzfIDbPZeoVw4RrN8mjgbYkiXOGlhiZzRKpuQkDJZOskbvb/koHyE\nqfJpinIidwjyczeZlc4P0GRYZmM8Z8Vpm3LhyF1OI7uuYYZRoWBNvuc5i5Mt1oxlvh/9FW/Gqxyu\n/zLHGp/n6s5XxkzB5uANgmSHMF6/61hnGsJMcts3uDn0CXWPkiojkKzJRQr2JA37CGvyOkPaLAev\njK4ThW1N0Y5StmObdiw4n12nrfwxO5uogHV9haY4gBCSXrBIa/AGneAWa0GMawjKFpxPb+CLPgO2\nkdImFjFF7eHLIb1omUT7NMunx9dcq3tmzA7uhIqXtm2u9QWtMGIlOMut+GUW5VsU3AUS5WMIk4Z7\nBE9XaIc3adoOtwOLRd/gWg822OGavI49Yq0O1z+HpW1a3TP5WDI8VtRb+JnkAj8hIWFFLtMNlkh1\nNNJtO9TtQ1TNeeruIY42foVJvYDUMk+xHApuBD225Ca3RL5PZXMay3BJVYDWCldUSLQPQMGZpVo4\nSDtS2AZ8t/+H3I5exZUVBJL73M/miebCIky7lLzDXOp+ZexcUyueIBsl0TfKp/KeCaOCRrPceQ6t\nU0zpYoyuv87wYu58lQ64x32CTqz4RGWKTAsWhz5vcI7bahtb5A4zFWMGpVPcUf+WLQpUvHkOVJ+k\nn61TtCZyBjrtjeef1dCgn4ChTRbKn6Kth2QkrMtFhrRxzRqOWSHOhsRpj47OGcq+bo0Tx4vWBLO1\nT47mpIhK8ThJ5pO8Y74aJBlF0+DyzpewzQr9cDnvNxMlDhU+lSsKisfZCW9gSIco61Hx5sZjYxC3\nONb4PJvZNdqDCwghKTqTrHdfou/n2QW2WcIxy1hmA8twsc36eEwpnffTmUJS1g2K2mOm9BBFmWer\nFL2DFJ2pnE20m+PPnWRDis4ktWLuxlP3DrEobzAQPteTF9n0LzFbfgRXe5xPv8Mn7QdxDfDMJlHW\no1E8QVU1Scm4x5rmqN3kvDjL+fQWJcvgE/ZxXuNFpor3v+d88lGB/hCPjxL2Kvt72MMe9rCHPexh\nD3vYw4eAZq+y/5FDx79BzdJ8ZbnOWx2BKT26wyu5r7yK8ZxJhDAJ422ipEMy0oB30lts98/RDvKu\n8wn3GO3hZTxn+q7ta/R7OlTsYrda+W4uO+/mG56nL/bedVu7lbb38g2X0kNKh2Ga0YszLos3mKk+\nhsBgJTlHGK3iOLMU3AUMaY+rKVKYSGnRLJ/O9cq6wHYk+PPud5k2TxDQo2hPo9HcaD+NRBInLVxn\nH1KYGMKk7O7D1SV6wRKDcIMg05zdgdfiRRpqKve5Npu0xQaH6v+YHX2b9uACnXgpr+hLl5p1gFrp\nPnrDy2NtZyZSBsLndV7mXifXzleKx8dOSDOl08hRlbHqHRxrUoUw8ew6F3tfY5gKrvVifhLeYr86\nRpkiETE1VSVSiv21z1AvnWR1kFfRTeFwXn2f7f45smxIpAZESrAewEaQ5prD+EXqsoBCc8j+BAfU\nvVTNOYZqiyTZxhAmGsVC/SmUCmiWT9NPBV8dfIlEBZys/jP22w8S64Br+mVs4dGJl3DMMknazVkT\n6WKP3I52sR4k/Mn2fyAjZc55iOX+GfzwNuvBecpyiu3gGs3SyXHKIYAhLCzp0Y/XsMw6E+4xfqX0\nS5xLv0UgfHrDy8RJa+y8YNvTJFlIoHN2QKmYqjlPUTbHzhKZToniVq4nR+FQwLFq2GaFjfQiFXeO\nTCdkImVV3uBU/beos4+i0STLBu967YuRO9Pu+YMPlyvxTiQjxm03GTJN25gjnb9hFN/uf7hjTGoU\n26EapzcDRFmf+I7n1NyDOTs2qgbGydZ4G0/V/hWbscEPu6v0xIBL3a/SlVu0ZQtTSCzhMgwXiYTP\nRDZDqLrsJDdoqkkinfFfNX4B15Bck9cJ0w4z1cfy44CkUjw+rhwrFSCEQyu9gjFKtBTInDVzDlI0\nJ/HDpTydVnqESvD8BmxGgsv8hH3ci2WW6MgWliggkHTiUbqmNcVMLU+BNo0CtlUfnQuLOO3jRxvj\nY5FlQ6Sw8OwJVjvPvytzuQtXF7nPeoJNfZOEgET7PFL7HebrT2JbE2TZED9cwjBKVNw5hsH/y96b\nx1py3Xd+n3Nqr7u/fe/u1zubzaVJqsVFlKjFkm3ZzDi2Y8cYxGMFE2PGGGAQYBAjfyd/ZBIgyGJk\nDDjjwHBG41FGUaRoMc3RYlKUKC7Nbva+vX77fvdb+zn5o+577KZIipORrB7P/Txc4OHeulV169Y5\nt+qc7+/7XcAxy6x1FUuBwTc26gghmOEkCoWBxULzRVIVsdY7h8Rio3uBXriMECbbvfx8DlXKnZ7F\nP139KmvxBRqygYHJdnQdTcZa42V29B20VnjOOGnaIIiWiXRGrDTXmnl7uFT/It10K0/tFgG2sHIt\nd7LLsDiAY5TxrBqZivZHX+vdy4SZ4nBR00o0ZcvmsPsxpu2HCbI6UbLDdvsNZuwzeWIyEUG8TawU\nZVNhCHih9zaTYpjl7o/YpZHPwGSbnO9+Jc9HMMbYbr2BIUzCTPKEfJLXG3/C5fpfUPZmaKZLWOYQ\nSkXYwqfIMBudt6iqMWIRE4gujVjw17s79ESPRERcqn8RS/gUGaHRuUKzP+MT6DprjZcZLT9OpuK8\nBgDBTiR4oPxrzDtP0UyWkRiYGASqTpDsMu4+gGfl+9Dor6sTrbHSzWdh4rTLdvsNTMPPNeDWGFor\nLMOj4IzvJ6Tn7W2Tw3KCcc+gHiliJTjPy4SqxTrXqTBKS4f0VJ2yM00Q14nidTbCS3TCNerxbVrB\nImm//Za93PVlIdvmYl3zLxv/GhNJhVHW5QK28Lld/3peS4Zip32Odu86Wdpks30BrVNsUaQTree1\nVq0f0k22EUKSZV1cs0rJnaIdrt7THppZTCNJsMwhSu40cbKNa4/SzFYxsEjSDq5ZxbUqdMM1hu0j\nnBLPMFN4Ates0u5dp52ts916g1rxFL3gDp1wjXLhOIZRzo8hCkM4lL05orSdO1epHlrn2Q/1SLGj\nuiymb7JqLCGR+LrU7z/f6Z/3EqY9Z4ZevEW9c5EgyX8XOvEGs9lBduQGhnQYK5xiWh9l0izxgPUc\nm1FEkEKUtSiaE4wY89xWr7MkLpHpfMbxtD7DtJ5Ea6hHKQc4zWrrlfftS+4LNP39/+DH/cRgZH/A\ngAEDBgwYMGDAgA/BYGT/vkIwWX0aKWxCJfg7M3VipdlqvYbSCaZ0GK18BMi1wkm6y8Hyx1E6oVo4\nSStY4mTtNzniP0ekOozoObKsm2v938V7JUrCO3r8D/LZf7dmXwpr353kvem7Ab2Pb7hplFAqYivt\n0ssyuukWvsw1d83erXykL1rtO7Us4zvjGEYBz6jR6l6lbE6xYtyhyTrdVHOCs9TVEpqMEXmIBbEI\nQCta6bsN7BAn22x1LgJgYJKmdeJkk+1AUbEFoejQlHVGstyxY0hPshvfpCIm8N05wrhOJ1pnvHyG\nSHfoxTv7o4RJWifQTR72RynJMa5G3yZIdila45TcqXzfZY2Kd5CaqjFkHcI2C7lzkk7zBEh3kkTD\nJa6xEP2AGbuMiaApd1mSt9AaamKWZu8WVf8QQkhC3eIR+Wlmqp/IPeyRhJngYqvNYlrnheAvKFrj\nueMADS40v0giEu60vpdrTtG0gls0WSfRPUbKZ3CMMt1U8NvV3+Bx49N42qekawTpDhVzmuXGdwiS\nOqmK90eLtY4omKMonexrpGOV8Un319jgJlfq/4osazFe+Qid4BaJDik4Y2y1XqPsze7PfiSqRzNc\nohsskKm8jkOQu0ukRPtOEnt6/cnCw/10yDT31E93WWy9RCtdJU42KReO0wkWKPmHMaVPT9VZid+i\nGyyQZiFFc4Ik69KOVjnf+r+oMk5VVWmy3v9c79SY3O3nrvqOIfno1AhCyH0HoHyf79X07+Ve3L0O\n4K7jlyKEhUZjSofZ6nO49ui+p/zd790UC7iGoOYcZKb6CWrFU0w6p3ON7p77hChSdCbu2db+MdYZ\nvRQOGKNY2mKi/ARj2TRFXWVTN6lnSwjhsNJ7nVAECGHQ6N5g3Vhm2vWxZe6xvxVdYcw5gSV9GnoV\njSKMd0jSd9yKDOnhGVVU1sU1K2y1XsuTsVG0k9X9mS9DerRTyagracSaZ8xP4GufMf8Uu8mt/Vm8\nINradw/JdMpu+wJBtLzvR55lLcJoFf0u7bFpVugEt3I3EBW8r4vYqBrG1S6pjmjGy9xpvEggugRZ\nnYnio/v9YMmdRukUwyiTqYj1KOBqU/FYpcYNcRlDG8QidyuaqzxLmOxScMZICPa/65G+gxJAQ/fI\nNPxG5VfwrCFuBt8lFF0m3AdxjDJSOqw1v7+fPryHL01MkX8fdb3EkaHnGbIOMVp+nK7apk2Xtmxy\nuvR3MLXJkJil3u8DxwunMYwCZW8+r51Sua58OW7haJfDHOSAfJRDlU8zUXmS1fQ8mUhJRARkbCch\njUTSSmBYjWNLyWH/4yxkr7MZXWG9+QpKxwghWem8ikBgCpdYkfuWV/4Bc7XPMGs8zHH5MY6WfiFP\nftVmf0Z2m1vZD6jrJTrssNSDh4pDbInF/fqUUDcxMKkUjmEaBaR0aEW5Rl2jcK0Kje5VNLmTT1GV\ncLSLZRQZySa4oV5lvfkKx9znyHRClLXx3TkK/Znxqj/PWOEUhjCxzQKGUcY0XJSKyVRIpgKEkPvn\nxd0prnNFk8utHrHSCOA5+1N4skY33SIlzR2LkIzLYwTRMr47hylttFa0w0XK3hyuUWGu9hmitM1o\n+XG2xSJVR/Ax6/NsynXW9TVG9Sz15A62NcYUx9lqvU65cJyxyllO1v4TsqxF2ZujpseJkzpZ1uon\nT2/tj4p3441cEdCfIdtDa82kZ5OpgFT1KHgHsaTHVut1rnVeQOmITEX934IWQ2qClmwjkMRZl2rh\nJL4c5rHqF/L2VfkIcbKNbRTyOjfTpxfcYav1Wl5PkDTIVJft1usMO4qqrZEi9+mfMx9Fo+hkWzTY\noOjNEyfbd2WJ5N9DEC2TZm1sa2R/tqUbLpCR4epiXv+oeiQkFC0DQ5tsih2Wuwm7nbcpUGM9uciI\nMY8QBpeyRc6nNwAYcxwSrTFl3r+79r0KivsRrX/y435iMLI/YMCAAQMGDBgwYMCHRN13JbgfzOBi\nf8CAAQMGDBgwYMCAD8n9NnL/k/hbLOPJi1/jZJMbLSg5MQ9UBSPlM0AuQynIYQrWyP50/oiapFY8\nxTHrWaZKT9DQK8zqSUbkoX27trv5oOCrve3fs3xfgrBfZCs9BMa7VirfVxYE7y8Z2mNPbjBk+NhS\n0o03qSe3UTphqHgSpQIMo0yQ1DlY/QU8a4hDlU9TZoyp6rPYwsfW+f5t9DI8YZKogFjnlpJb2Q1s\nawTT8BgtPohSEZY5RJo2CJMGpjYZLj8KQCNJ2Ak149ksb9f/nJu8zow6jolBL95hI73MvPcxTMMl\nitdz+0fVI0nrFL25fiBIxGL9BcJM08xW6AS36IWLVMQEh42zHCg/x1Z0JZ8qFSZFXaXRvUY32kQI\niW+P0upepZWAr8sU7TEksEmdbXUbnwrNLKKulzhY+RTj8hgz1efQOmPFWMKTNVx7Ck/W2Axh1i2w\nLdeY8E5zVD/CjtyiqAs8UPl1KhR5rPTbzFQ/ge/OMVQ8hSOKaK0YNY6gyegkmilf4EuTnshlGTPW\nGQR52E3RmWDCfRAhzP1CtVjly+1Fn6doEqWIdZBPo/tHSVSAFBaBrlM2phgpnyFVMWnWxjKHMIWD\nIR0mq08zW3qKefUAa0FMN1zAwKLmHaLQL4StlR6kxhQ1YxZfVjGlh2tPUXKnidIWQkhcs8pI6RFG\n7KNsNn9IlLVoda/yQO23OFB6GkcUafVu4Fk1JktnGFY1ApHLhyTWflG7QKDfJUnTWvWnxNMfa0N5\nMfk7xcp7AXNK9d5pQnvBW/32qVSAbY3R6F7Ow8L63Z5jVTHNKlbfVjdRueTDkzV62Q71zkUUGZ3g\nJo49gefM0EpX0WTUiqfu2oai5B/ljrzGxXrGbbXBK80/Yrub27HWWcXVLoYwqRWOM+TOsyOWqYe3\nscwKE9kMrSQlyDQ7cd6+PV2mES0SZnV8Y5gDpY9hm+V9OcOR0qf3j8eocYSxylmmKk/jilySlKmI\nI8VPkmVtMg0HilC1BUXL4DqvYeKgtUIg6dGk4IxT8Q9SLhxns/nD/WNZ8o9imUNorfJ+664+zzDK\n2Ga+PUM6eSF1vyD63fJEhWbE9NhsvwHAieqv0dCrhEmDIKvv2/XWOxepd69iGj6N7mVEPxzQFHC7\n/nXW5E12xRoVJvCoUPZmkcJipfl9iu4kUjoUjGFG/OMUvIPEImI3ys+Hef0o496DRLqNxKAe3MY0\nKhS9Q1TtOZTKpWVSWAw7+TlmCEEjuEMjXQKgHa2yHVyjI9p0qXPUmGBJv42rfTxnhkb3Mpu9izhW\nLp1sZzGboeCmvMJtcR5PO1ziEuMMEeseWit22xdoqTVs7eVmACRcqCsaMXREmyBLcbVPnHU5bD/F\nWOUsjlWl7M6SJDtUiw+wVH+RdiqY9CVV4TOmDxLSJRYRU2qKeeOj7Ko7LKdvUfKPUjanmOEESifc\n6USYUhCrPBTPNFyO6ceY0qOESZPhwnHQiiDayG0cpYcUFqPlx1gKeqQaDjs1lngbX+a/pUVjFNsa\noSfabIVXqNgzhPEWrd4Njgw9T9EYZTe8yRHrGYatI1T9ecbdB3NZTOEIQ8WTdKMtGp1LeSGyk0s+\nAYqW4NGajwQaieBQycCjzIx1hibrlCjQy3by36LSI4x7DzJs59uwzRpR2iZRPab0YbrBAiPGPJ1s\nizjLZVA32n/FWuNlIhHiGGVcu4ahDU5Uf41W9yoFOUxF5fLBdriKhYXnjO/bURbdyX1pnxQWrj2K\n1Zdg7rEld5ACjld+hV68Q5L2MPoyQ8eqkGVd2uEyre5Vit48hjbY0DeZyGZywwZpIoVBU27TCpYo\nG7m0cKd9jjjZYdJ7GM+dzX8vVESaNrDNGhpN1co44CccKUsmjDLTjKJ0RpDsstz+AaovsUzSDlJY\njJefwHfn+oXnct/EJO+7FbflZWb0OEPmQVxZZkaOsBlGLMrLTOoReiplonKWkq5RtQ4wpMZ4XDzB\nMTnLuJqiqQNipdmIe4x5FiviOlX3IPczmlxQ/ZMe9xN/qy/2BwwYMGDAgAEDBgz4qaEhU/onPv5d\nEUL8UyHEFSHEeSHEl4UQ1bte+0MhxA0hxFUhxGd/0roGF/sDBgwYMGDAgAEDBnwI8pF9/RMfPwVe\nAB7UWj8EXAP+EEAI8QDwW8Ap4HPAHwkhjPddCz+ni30hxP8uhNgUQrx913PveQcjhLCEEP+HEOKC\nEOKyEOIPP9xWNKo/kXKkDOd3agzbGUVjFN+dwzYKZCSEaQPfGc+lEOSJfp52OKBOIDDo6ZiWXudC\n96u5NCLL3ShyZ5R/u4maPVeed5JDg3tcdfbkRO/nob/Hu51H3oueSgmyfDqu3rlIyZpiu/UGT1f+\ngCOVX0BrhSajF29R0LlLiiajma3Qo06iemzEAUtiDc+oEqsORVWhas7iWLlzjyOKeM4Mmeo7n6BI\nRZqnKApJohWtJMVEYppVTOHwdvICb/b+bwxps9u+QCR6+ymHEtl3kZknSbv41gi2NUbRm2czirCk\nT614Cq0VXercVq9TYpgR5xgzlWewZX6uW2aNIFruuy/kDhJXGzE1VSPTKV/r/iteb/wJSic09AqL\nxi2WG9+hwiiX219lvf0mq61XWAneINQthr0juBT54W6TIFUcU8fYjq7REfnnLgiHkqqQ6IwtsYQU\nVu4ik3WxtMN68xWutf5fOvEmC52EtQAW1RYZCee6X2ZYDbPSex2lU0rmOBIjT5A0XMqF43nqbR+l\nAnZpcI4fYgoHz5khiLZyr22jxEbzVVIibFmk3buO1gmek6ebWoaL1gpDWGzJbdb0DgX3IJHo0YpW\naIR3gDwh1tAmkW4Tqha9ZJsgWsazhoiSBuPls3SiNbK+pEwIyU77HIZRZj29SCNd2k8U1lpRjxbY\nkFuscpVhPcOInsY0SkjpYVnDKBW8p0e7elcq9B7iPZa924tfSBfTrN7r+CNtPGcGpRM6wa3+63n7\njZMdBIJ6cJu3gy1C3aLeuUy5cJyV3utorYjidUzDwzeHCZMmBXN0f7vDheMIITmgjvEvtv5bOqKB\nZQ4xVniQnuyy2Pg3OMLM+xaj2m+fDUzp7PcFVdtkuZtLYE6az7GSnsudSmSRRPfIdJI7i9gjFLyD\ndNhhO7iG1ik1NcKkPEGqI3aSGxStCcrONBvpFXx3FgEEKdxopZRtwSed5wAYs0+y3PwerWyVkj1F\nN9rEkt6+HAEgjHdI0zqiL0ECte8KBRlRkifgtnvXKXtz+9Kpd8uvWqJDO0sYK53BMUrcaP8Vq43v\nMe2dYcI4yUnxNHHapejN41jDmIbLROVJMq2QwEov43Tt77JQ/xYuRW6HL9PU67SCJYpyNHcCwiBN\nGyy1XqIZL1Nx5jAweWs3YLUb42HTSO6QkXJ190uE0Sq2mbeTje4FpguP4TpT2PYoSsOtdooUUPUO\nEGddAlXHt4cp2GOUVIWPmo+Qas1j4mNIJCP+cYQwOeI/h2cNIYTkjnGbt3ZDPmI+wiH9ELflZXpq\nh7YOWay/QKYTDKPMWuPlvkRyjJZsshT02Ogl1NQQHR1xR73JMftZiqpIL97Cs4ZIVY+ifwTHKFMt\nnGQ9gLWeYoc2nnYRSOpig0viNRztkOmEMfMY7d51LOH3JUINIp1xpxORqABHFHHNKg3ZRAGPuL/K\nKX0WpRMK7gwFZxxXVOhE62y3z+NLi0uNjO8lr7LWeJk7jRe5lH2bZrJMmjYJdDP3e8dECJn71euM\nhfq3cMwSbVmnkS6x03oTQ1j5ZzFnCZMGvj2MkDYV7wAaRcEew3fn6KaaP978EhtxwHYE26FmI71C\nh1xe0qSDbwxzLf4enWgdjzJrwVtUzVkyFdKLVlEoEhJsa4S23qRqzvJGZ4tWkjvzlfyjbOnbbLTP\n0QkWuCPeZjF8lZO132Sh/g025CLVwkkq3gGaYjeXvEgTw8gTdvccz9q96xTscZrBwj3t4Xrwba50\nWqzEbxEnO3laevtcfh45R/GcmX0XslSF7BqbnOIJisLhsHGWojlBpDusBxeYKj+BpR0sc4ih4kOM\nlx/H1h5RsoNSAQVjmInKk8zk6QzjAAAgAElEQVQUnmCq+iwaQTMxUBqGXZMRxybQdWyjgOeM4tsj\nFL15knQXIT3qwW26wQJaK5QK9q9jNBrDKPAQj2IIia09llqvsKzy/S4xiiMNCoZJUY6hUJQZ5a34\n6yRacVOtEYqQq/r73Eg2+E7zf6QTK07rM+z0rr1n338/8TfhxqO1/kv9zg/ZD4A9W6rngS9qrSOt\n9W3gBvCRD1rXz2tk/0/J70bu5j3vYIDfAByt9WngMeC/EEIc/JvZzQEDBgwYMGDAgAEDcvSHGNX/\nGbj1/B7wjf7/08DSXa8t9597X34uF/ta6+8Bu+967v3uYDRQEPmQkQfEwHvHy76LsjFBtXCSKTfl\n9FCDkpnRSlcJ4w3G7JOYOERpm264TMWepi42cM0qK8YdeqLHHA/QFQFr7Tcoe/mo4F4h5Hul4Uph\n/ZgP+Ht+/n5K6R57XuF7PtXv56EP/fTPrP0Tt7Em1mnoHoa0c/9s1WG29ilq0ucEh5ktnkViUbTH\n2dQ3aESLdJNtoqzFUusVWtEKa3KFS42/YLnxHXxjGCUUBV3F2Bu9I6PgjKFUlPtKO9Pcjn9APVrA\nc2bYps5O2mNJ3mKy9BhR1uIJ6/NAPho8XHqE67tfxhB5saZv5aOlje5lpDTJdMRU8VFG3ROsiy1M\nHEbsY9SKp+imW3Side7Er/KIeIAD6gSJUhg6T/IF8kIwJy+sfJuL1GWdMXmEEecoo+XHGTbn2epd\noau28d05zrf+gjRt5IWK3jy+Pcpa+3VqYpa23mRR3uBbwZdYEZvM2Hmh9+3eS9wWd9g21liTKwSq\njkbRDRYI4zoReeFowZ2hGy5yUd/gpe4tlvTbJCJiyD/MmrFM1T3IiHccnxrX619huPQIFXc290hO\n8+97b/R7lStsdy8RZnUyFe+PpibpLkonxKpDJ+knneqMTEXEOsA3htlsn2M3ucV6djnPRFAh9TRP\nEN1LnT1Y+yzXku+x0buIEJKyM81Y5SxrjZepFY4SZS0yFROlLe60vs1Q8SEg92IvmGN0403K1iTj\nlY8gZb5vF+p/xnrzFSzyWauJ4qOMl88g70rMfXebyLLOe772bq93ANss9c8rE6UC0rSx/5pA9L27\n32l3WdokShqkaQOlIjQarRWvNv4ZAoljjxHGddIs//60zr3uw6xJ2ZlmtfUKM9VPMF14HE/UaHev\nsSN3eKD2W1jaYbT4IJbwuR5+F8cexxK57/dy4zsIYSCR2GYZpWLWjWXaSUbBlLwUf4UCLkFcpxfv\nEKsO253LNNJ81sU2CtScg/2E2DpHhp6nI9skRKw3XyFK2wRZna3ORXrxNjX3EKmCdio4M2ww7cOE\nZ3BCn0SRARLPqNGIFkmzHjvtc/jW6H5ab5Lu9o9NSjfexDJr+8WnWdbdL5AG6MXb9/RdeZp3fs6G\noodCYwqHrdZrTJeewDAK+bFSI/jC4bT9OebcjxCndYJwBUv6OMKglSjCLMPW+exMQVco2uNIJIfK\nz5EQ9LNC8lmT2fIzpFmwX9g+7NjcZpUuIa5ZJdMJJ2u/yUj5zP7sURSv01N14qSO1orloMeNeIft\nJMTAomLP4MoKQVznsHGWptxlpmgw6VtMei5josJS/UUcOy/MPCaf4oTxcdbDt3mbt2gkMZGImNDz\n2LLIupH7vxeMYcb7uQBD5kHGi6dZil/jjfSbrGctUjIu65fz4yvavBF/lVH3RF7g2r5A1Zkjylo0\ne1f5UXOHF6O/5lL0Ai3ZoqKGiHWHnd41Nowlxo3jVPQQ5cJxlrs/YjU9z077HD0dscIWzWABR5RQ\nOuHt1pe4Ki4wYZSpmg5DpdO4ZoVG9/J+Ea/WEW/xOo044YA60W8nKfXORVrBQp7ILHwM6WAKF61T\npHTYjq9jW2PEaZdmtsJW6zVmap9kPXybMKtT0FWmvTNEaZuJ8lls4WHLIrvda1Tdg/xlc4F/OPEb\njFguy52MrTAhUxFb4RU8UeF88FViHZBmAVG8zlpygYI9zkg2iWn4+M4USidcjb5NyZ2hl+0Q67yd\nn+ccAJ41xFrzJYYKxxgqnqIkx+gGC9h4aDQLzRep2nNsNV9lofd9Kt5BdtsXmCydydOFs3cuUXY6\nl+/JCgHohYt8t/k/0epexTJrTPqP4Dkz7ES3WO2+QZRsAXC69nfxrBqRbmMhsaWBo20a8SIn9CN0\nglt52xUJSbqLbw6z1bnIcvwmWdblUO2XGNYz+HK4/9uU0UwkoRKEmcAQIAVMiGNUrBmq9hwTxjsz\ne1oFKBX3vfc3f6zfVSqialnUVY8udabLZ6mLDaq2RUiHl7Nvk2mNo30ykdJmh8Pux7girrKaXWRb\nrtEKlnG1x6O1v8dOHGEKydHCp35sW/cbH3Jkf0QI8dpdj7//7vUIIf5KCPH2ezyev2uZ/xpIgT//\n/7u/96v15u8B/7L//5fIpyzWAB/4x1rr3fd744ABAwYMGDBgwIABPws0kOoPJePe1lo//oHr0vrT\nH/S6EOJ3gc8Dn9J6Xxy0AszetdhM/7n35b4r0H2PO5iPABkwBRwC/kshxPz7vPfv791B/Y3s7IAB\nAwYMGDBgwID/oNAf4u/fFSHE54B/Avyq1rp310v/D/BbQghHCHEIOAq8+kHruq9G9t/nDuY/Bb6p\nczPuTSHEy8DjwK13v19r/cfAH/fX9e9Z5MGAAQMGDBgwYMCA+52/IR/9/wVwgBeEEAA/0Fr/vtb6\nohDiL4BL5IPj/1DrfsjJ+3DfjOx/wB3MIvDJ/jIF4KPAlQ+zTks7VO05LKnx3RhHanbbFxDCoZ4t\ncav+NXrhIuOlx9jqXWG19wZSWNxqfJPXG3/CTfUaiYixzCI18wCdcA0prH2Xj7sdJwyj8IFa+3c+\n572afM+ZuSsYKHrPWoC7MaSH7x24a7u5800eePHONt6u/znX1PfpBguUvGnWm6/giCLbukWmNYvt\nV7CEiy+H2e5cJkqafT1riiFtCvYYi+GrHK09z2T1aXrZDjeil2ixhRCSkfKZPGir78jiO1N0k20c\no0SmYrRW7IhlXo+/xkLzRdrxKp5RxREGFe8AQkja4TIAvWQb06zSjtf2P4dnDREmTTwqbARvc633\nIlvhFSLdod65SDtcxbNrGNLBkoJtmWvUHZ3XYcxUP0FVjWFJnxH/OA9yirIq83b9z7ld/zpD5kEq\nang/zKsXLmKZlTx0yniYZu8qcdqi7M0SizxUrMgwFTuvS7Cw6Yk2QbSMQLIavEmXOsd5ggoT+xrH\n1d4bSOngGCXQitXwLQSSTrTGZnSFWHWoqGHqwS3WO2/So84D1d+kbE4Rpg2avQXavev98y0/b+Ks\ny3DhOKb00TrFtWsAjJYfZ6h0mo3mD2h1r+bvQZOkPXY6lxnnMOPlM7SDFTIdcSl6gSRt0g5XqXnz\n++e1xMKUNlGyQ5S1aAR3mBUPMl/7PIYwqXcuUvMOUXXm8Ozx/fNupHwGC48oaVATs6w3vo9jlHHM\nEpPVpzlY/Sx3uMAyl2knq2x1LhJGqwDYVu2e81yj9vfn7oAmISSmWfux2pheP/DHscfucebZOwaZ\niu/RnGr0PbpayAPppLCIVYc42QHUfiiZYRRI0l3a0Sqb7XMoFWGKXH+ckDtUXO18gzvhD7jW/iZz\nPMBOfBON4qz76wA0Wcd35+ilO0hh5fUVyTbNbJUraoG1IKTqzLEuN7DMAlX/EO1gBaVTorSNFBbN\ncIlGtEjJnabsHcxdOLTNpfoXMc0qw+5Rsn6ITs2bJ1IdhIAw09xoae50YKGT0NQBG9Elit4c3XST\ndu86aVoHYL31I8JoFceeQCD2XcLCaDXXtoeL9xy3vYC0PWceyOsklApQ/foKA5MmHTyZf8+OKDFb\nfoZNdYMfJV8j0ik3eZ2QDmXvIJXCMQxMFLASBLyhXyMVKRV3lqvxd2iEdyjIEXxdxhFFsqzLbngr\nr9NhhCF3nmZvgUiE/J/b/zMahY3JWuNl5niAK40vESS7HPA+moeDWSPs9K4xVnoEQ9ooNBWKvNT7\nc1aaL7FUf5FUh/3XFB12KJi55rmbKkYcmycr/4BR/ySr6Xk25CKhDBhxjrJQ/xbneYXz3a+wKRbY\n6F7Ia5WkQytdpSDzGghLO2x0LnDa/DRnzM9x3BuiIfM6iO32OVwKpFnIeu88W+FVpqrPUmKUbv/c\nLwufMKsz6z7OLsusywVWmi9hGT6qfx3QFLtMOqcZ9o5gSh8pPTaNFa6H38V3xlkN38o19kYprznR\nS+ymIY3uNcK0yVT1WQwsfGuEycoz9NId6rpLS7aYrD6NbY0hhYVt1pipfgJXFwnjHbpqG8+ZREqP\nTEUY0qbqzGFJv3++SArWCFJY3Ai/ux/sOMlRlhvfAfKaoFh1eK50kI1AkSjNdhIx5lokKqAbLiK1\nZMo/s+/CVi4cJ1UxI/IQNibj3oNU7GkyFZGpmJ32Ocz+PpwPv47EwnfnMIWDaVSJsja+MUxR5Y5x\nXdGgVjyFIT1M4VItPkCUbOEafUc5Ye3X+ez1W3v9jGUOYZlDyL4L116/Yhoumoyqd4B27zpRvI5S\nEUeGnicQLeqdi0zoQzh9t7mScDlj/iIHfI9PVv4xQkiu734ZIUx66Q5p2iBKmv1+LqMn2jTTZZYb\n32G3d5OVwODlDcULu2v8de8GS0FASJfF5vdoxfnv2V6IqNJ5LcBe2977THv972z1OVpJikJRoEaB\nGo30DjXH4CnrYX618BnaWYyjXZpssRVdJSHC02VOiWdoZescKD3NtFVimlFmfJdzvMFC+Ar3M39T\n1pta6yNa61mt9SP9x+/f9dp/o7U+rLU+rrX+xgetB35+1pv/AngFOC6EWBZCfIH8DqZEfgdzTgjx\nv/UX/1+BohDiIvAj4J9rrc//PPZ7wIABAwYMGDBgwH/IaLT+yY/7iZ+LjEdr/dvv8fSfvM+yHXL7\nzQEDBgwYMGDAgAEDfq78DKw1f6bcV5r9nyZC5NZP0+oohtDc3KkRKcHTlT9gUea2gxOVJ6kHtzGF\nQxSvM1V9lp3eNearnyPWPSSSW9H3MaRNqiPK3hxplk/ZS+mgVITrTOVT3tYwvax7T1GGlN7+NPYe\n70gTTLRO96f89t/Tn95/P5J0F9cexjDKaJ1gSBtDDhHF6xhGmSxroXXKg7XfYS29SNGb54jxFM2h\n47i6wI7cAAW2WeR6/SucqfwuDW+aeucincjFt0cIqSOEwZz7EWztsZ11yVSEa1a4Xf86ljlE0Z3E\nMSYIRT71P+zMs1D/FpPVpyk5UwTJLj3VYMg9TCe4xWHrKVKRckssMKlPYDkP0fA2aWXrFOQwt4Ov\n4/pHqDpz1A2fqjmLLYusxRewjQIPm5/htrxMrDoYRpmp4qNMq6P4wqGRxGxklzllH+bV5Pt0w0Um\n3AfZ0LcI0zq77Qs8MfwE56JvMlY5y5x4CKkkgejh2BMUrXFaXKXs5sXtw6rGoeovUWGUOqvUsyXi\ntEXodLApUrFnkFpSoIJtjXBcHGTYHkUpza6sM6JGeTvIS0r2ZCqeUcOxx3O5hPMoUdKgFy5S9OZR\nhmLEP06VKTSKETXK7fhlDOngOaNYZpFeuMhQ8UESFRAku3hGlZqcpWdtkWYBvjvHkHkQVxeo1GZZ\nqH/jnnNRqQ4lXaJsTNI0l4jSNknawTRK+PYwUxwnLnYQSFIips1HaMklkizENDwWsteZMR9mofkt\nbGuMIXmARESEVovj4inC6mMcNsf4Suuf81jpt1lU5zk89KusBxeY8E7j6TI3et9mpvAENTXGq51/\n9q52ca8CUiARCKRRukduo7XCtWsUnFHqnYv77QwyhHBRKsW3R3/M6k7fFUz2bvbaaR5QtpxbNmpF\n0Z2k2cvbb5Z1maw+zQFO0/IbXG19HQCzbx06VDpN1TzAYX2c294NWrrB4+YvEZEwaftcSddoJssM\nufOsNL/HePksNfMALWuZRu8mD/hPYhsGVT2Fo13OWp9nW+ySej122xdwzXkCsUaSdkjT3N512D3K\nWnyBE9bHebD2OyzHb2ALn6Qf/BekO7SCBcLsFzhY0FxOBYvdiK/V/ztGymf2pV5T1WcZLT/OTuci\ntlnBNFy6wQKm4ZIaJSyjiMq6VArHqHcu5raJd0miVF/Kd8/39K4fwowUS1v4uszDtf8MqSVDaowN\nuUjRGWXK8vnO5g+pm0MMF47jyRopEZFOGbd9TiSP8ELjf+DjlX+EsjS+7SAVXOA1mtEKx4d+nZ30\nFofUEV6Jvkyn3/5MbfKfT/wjznd2WZK3+Hztn2BLyWOVL5CJlGFVg/Ln2FF3yFTEZvscvjPJlOMT\nK8V48TQArihjaYdOcIui/at4+gRhpimYgiDNOFQy+NP1P+Kx6heIzAl6NElJGdWzuLXf5Hr7Lzlc\n/jTT2SyqoJjy/yN87XFd5pPUj1W/QEycWyVj8uRIbiXbDNd5wvgsfu2XEQIahTMcUMfYllskIsJT\nBYruJEkWUjEtDojH6Yk2B7MH2JFbzFQ/zrieBw3bYpFJdZhhWeTl9HIuxyw9RFkNUXQ/zoq6xJg8\ngqt9rhgNHO2zmp5n16ihVESctvHdB+iqbYrGGKFuckw+RVF4vN75Eg8VnifxAqrmk9xq/CUds4Rt\nF/HtUTrxJr41wpB7mD1psRAGBia2NYaJQ0gLz6hR714FF8a8kxRVHuBmCAu3b5lpSThREVzB5M3g\nTR53z+JbIwTRGk29jiOKHPGf42Ljizzu/j4WJre4xPnsAo3WZU5Uf52aNUtsB1yNvkQv3qLiTTHs\nHeVW/Ws8Vv0CRV3gaOERzmcv4ogiKSnztc/TTFfIdIpjVbmx+xVK/lHK3jzddJOSfxQDa9/21zSq\n91jT3v2/lA6Z6uJYo/l+GwUyneK7c0BuzZnqkPXeBY4MPY+VWZRtg1ac4RoGJWnhm4KIhGn7YSr2\nDJ1kHSlMxipnCdMGJXeKte5b1LxDBMkuY5WzZCriWjPls1OCA+0JXtnxQMDVxpeZqDyJRBKIFrZR\nYE9QPFx6hHr3ci5BDBf3r10AigzTUTEONhvUUSQ8Zf4imQbPFBhS4EuLy/oKhrYYdY7j4OGrAm9l\nLzBpneYouSx5Te8wb05RY4ox5yCvBfdvsJYGMj5QIn/f8bf2Yn/AgAEDBgwYMGDAgJ8uP5PQrJ8p\ng4v9AQMGDBgwYMCAAQM+BHsFuv8+MbjYHzBgwIABAwYMGDDgQ6L+psw3f0rcN9abP22ksPAo4wuH\noplxaKhBkBnM2GUAhvUMk/IE04U83Oxg7bOMikMIIWmkSyid4FHJdYrWCCudV9luvUGjexl4R6fq\n28O4zhRS3HvflFtiWvu2dHdjmUMMFR8Ech3f3baZH6TXFwi0VoRxnaHCMYSQfWvAIgCjxVMUvIP5\nekXETvscvj2KQmFok1B0ud36NiviOqZ0ENKmITcZN09iGlW0VnhGjbI3Q6p6mDhkpOy0z+GaVSaM\nk9SKp3LNsFaEuonAoFw4ToUJfHeOVrTCiDGPbRYwhcMR9WBuh6cLlFWZsWySTX2Dsi6S6YRheQBb\n+JT8o5jSocgwJWeSle7r+5Z0UubH1sRhvfkKllnEFC5vxV8n04pvNP57pLBwDcmwOc/BymdY7LxC\nJ1nHEA7lwnG6WUrVmWNaPtDXDnvU9RK2WWI3uMGRoeeZF4/iiRot0WWx/RJ1VvGpMS0fwLdGud36\nNnPqCIfVaTqyyRhVpLSJVMaCvMSu3ORm8F2Wjds8UPstpqrPYltjVAsnMXGYLjzGVPVZ7gQ/YK78\nDA/WfoeqM8emWMDCYyl+jUj0WDOW8awhOsECtlHI9fql01TMGVyzyoh3nJXGd4lFgGtVccwSUdLg\nRvMvWckukBIhjVzzu3eOVAsnCUVIokPSLMw1oVmXojOBZeTnz7A5j0bRSdfZ0XfIshZpFlBzDlIw\nRzG1yeOV30PpmJZep57eoRttMm2VCESXUc8kzXpYOrevzHRCyZlkRE0yqkaYKTzBjfpXiUQIgOtM\nIfrtJorX98/zcuE4RXfyHnvMveVGy4/T6l7FlB6uMwVA0Zsjy7ok6S5ap3SiNTxnZn9dd7fXe9qT\nMLGtERwrP89G/ZNUCyfZbV9A6QTXqJFlXTxnlCNDzzMi5knJOKBnGC89Qo0p5o2PonVGquJ+jUeL\n1d6b3Oj8Fa4wqQiPxbhFUfXbqDjETPU5usk2I9kkRXecojtJREymNTeD71LUBXxpUlNVRq3jfas/\nByFMXHuYQ7VfZt79GEWGEUISiIAeTTKd0lN1fHuUWvEU9c5FHGsYQ0CkBEUr/9zztc+z3XoDx57A\ntkYYFgcYMeY5Wv1lKt4BKs4ctjVGGO9iSJuSO43SCY5Rplo4SdU/hBTWfr91dx+3Z8knhNzXHwPs\n6iVCEXA9+Da+Kuwfj1v1r+FSZMwzOD6UW5T6cpiFxjdZqr+IRBBmGdtil0O1X6IjurjCpk6bno5Z\nab6EZw1Rz5aQwmJTbCOlxVztMwCkIqWXakwMQt3ClQY7aY9ExCgUKQpflxiRh4izLuiUTnCLRGsM\nIRhiBguPshriTvgDINfqzjolFjsZUsBHx2xMIfi14f8KgSQUHXbjm0zoMWaMGm29ua/Xj0iYV6fY\nlmtEJKw0X0JicNgcw9M+04XHMISkm2q6qSZRvdyu2DZZzuoM62lMJMvxG9xq/RsMTCrmLAVrhI2k\ni6MdEh2yI7eo6yVMHO6oN5FIJvQh5uwqN1ngSfOX2G1fIE5bBKLLirqEK8uUVIVMpBx2P0ZF1XCN\nGvV+/UMUrxOqJq1oJa/tUREFXJp0mCg+jEax277AkJrANAqU7RkK1HDNvI/abr/BCHOMcxhXVjBx\nsIQPKEoME6ctXFGm6h+lyTo70S1iUsYqZ2nHq4x4xxg3T7IZKKbclPmSYFjPULE0o8YRRkqPMCwO\nsNJ5lVgEjFc+goVJUdocVCeJsy6z1U+RiIiqqmJoE9eZYsQ9CkCFCT5a/X1s7aDQFIRD0Zog0p3c\nblm47LTfohuuEcTbHKx9FstwEUKSZCG9aJVmurTfDlS/TmivL7KtEQwjv/4wjQpKRUTJDq49Tr1z\nkSDaohcuUnamqRZOslD/Fr49TD25028HmppjojUYAhwDjnj944hH0ZpgwjjJUZ7gjPmLfftQl068\nkddnCYcwbTBfMtmKJYmCa+J1KobNiep/TEVMEOuAWPeYtE6/04eaU3jOJFX3IFJ66H5tgWNPMKxG\nkQgOeAVG9DQjeo4VtujECs8U/OnWn9BRMUU5xgRHmVXzWNrmtjjPs/bnOcIBSqZJPY05Yo2zZ2Bz\nNf7Oj/XX9xcaLdRPfNxPDEb2BwwYMGDAgAEDBgz4EAxkPAMGDBgwYMCAAQMG/K1Fk5H+vHfi34rB\nxf6AAQMGDBgwYMCAAR8CDaj7TKbzk/hbq9k3hImnC3jCxBSKSi3AlgqtNaf1GYq6wEExzriaY1od\npcYUpjaZ9B/hlHiGKY4zosYZ9U9QMac5VPrEfmz8XO0zuM4UljlEwRyj1NcOA/vLVP15ILtHK7yn\nMU7S3X2Nv2NPYBru/jK2NcJk9en8M/T1fdCP2u5ri9OsTZJ1ybIurj2O1gopHWLVQWuFY0+wEryB\nEBKtM26m3ycWAZFuo1TAUv1FGt3LZFmXnfgGIR1mS0+RqZAqU1jSo2LO0mSdUHQA2Oqc51LrXwMw\nUX2Kkj1FplMsmceat9nBs4YwpENdLbHbvoBEckO+TStb55a8yG1xAQuTTKckpNyuf50OeZS6bRRo\nRSvYeBTkCEG0zPXdL9PoXma3fYEUxXZ8Hd+dI4xW2YlvMOd+hJd6f8ZE5UnKxhQFS7CT3uKEPsmJ\nwmfzmHHjJJPOab4XfJF5dYqaqmJjci79FlJYaJ3xkPcrjKhJDG1SoIZCobVio3eRA3qGJlukOuJU\n6XkSUmqGy2Q2Q6hTZgtnebH3Z6Q6ZDO9RhhvMZnlWuVxcZgDpac5bD1FI73DZnSFo/oRDnsfZ1hP\n42iXY/pR1jtv0UyXGXdO0c7WaatNlE6YKJ8F4OnKH9Ds3eFO69vsdC5j4mDb43TVNs3eAkVrgpI7\nzWTpDEVjlN3wJlnWwnfnmKw8w1T5LGP2SZa5ghQGhrQZKj5EtXCEKG2x1XqdnmiT6BBLegxZ82x3\nLzFafoIo2SHRPRxR7GtZFZ49ykrzJSzpUXKnARhVY7gGPFP8XRSKafORPAJeTNMUu1wTb3JEHeax\nyt9jVA1jGAXCaBWt031d/R5FaxyjrwPPda4FfHcm/19YGEaBbryJUjFSWPjmUP9cT0nSXdK0sV/n\nUbBGABir5MdSCLkf+b5XNxPG60jpsd55k260sd/edN9HOUqatLJ12myywiWivk/4mrpCU24Tqha+\nOURZlUhEzLT/GEeKn2aXNkO2zZK8ynVeY8Q+RkpKiVGEkGwba7SDFeqdy5gY9FTChPcQN+UFLuiL\nrBhLtNUmJWuKsjHBaPEh4rSNg8+wGqZHnaPmM8QEDOlJ2r3rlORYXm8jPQSCKf9RTAGbIRhCsK7r\npEQ8Vv0CY4VTOFaNgi7g6xJFVaEXb7HdvUSmwv5xktjC2/+OfGsUpRNse/T/Y+/Og2RJ7sO+fzOz\n7qru6mt6enrue968++2798LuArvAksASJCSCpMDDIdIMibQsWz4iFLJfQGaEZIYsy3aEFaDDDJJB\nBUXDJEHCBMULCxDH7mIB7C72evt2333MO+buu6oy/Uc/wLTD4C4lHA9gfToqYqa6OztrJqsqJyd/\n+cO14+E+d/wb172vr6//9TW5/5/rsc255HOkWYcb8i2uyrdYkxepFY8QmZiaC+PZJGm2gxI2x+Kf\n5WTp5ykoh8vmFi2xRUqfG5wjM5pEDIafZ1JWOYUnizjCZ0CXUXeVkPLwOqxjdpKUEStEItlK+5yX\nr3BTv8Ftc4Gnt/9HWnKbXW5TcMYQ0mGsdD+3B11eSN9kRFcJiNFCM+vdz/3xLxAIl7V+l8NVRdkx\n1F3Nb22+SC/LWHJG2IRSqYsAACAASURBVEqvMO0cJ5LDOKIGwznht+QtvtT5ba6pS9zovshNdYXl\n+Cnm9SxCCDqiRUU3uCwvcWk34Tc2/oAj8l2c5yrP9t+gJbbpix59EnrpNkfDD3NHXMMjYpGjbMlt\nborLeEQUTYmamMMjomRN4huXyARIoKLr2FJysPxTtPo32DLXqcsF2ultrohXcc0wVmtbbmIJ9xvn\nklIho8zjWgUMw/guIQQvtH+XKhPY2EyVHiURA+4L/jZF6ryy9Vt371ldlCpyJXsRgI7eJCNBoigF\n87jGY9o5zoyeo5tssDW4zKi3ypa8Q6o7JLpLavq8vvVxlBDEdoanYMkepeZqZswkjvDxTcBDwU9y\nfufPKYtJWqLDNXOHuu1zwHmS+8R9eCbijryJi88+/wdwxTC+aV5MEJmAL3c+zhfbv8EVscZW/zJr\nrRfZaZ9FkzFVepSF+HGybIdb3eG9SUmXhrcP3xmlO9hESh/fmyTL2nevH+sUgkWkdIiD4ZryX89T\noXWXbv86UvoU/SkmSu8iVuNMOEcoBIv0012EkGzIYT4bRwnGApunB5/DkQIlBBkJu9kaNaZomlFi\n4bNaKBCpOgVnDCltknSDVnKTdvciBnhpQzPIYJC1Oaev09BjFEwZYzJa6Rojuo6lhuf9+uAtbOkT\nyirN4gmqhUPE3iS2CrCxeJkvUnUlGSnjssKsHMW3BK3E8MHiT/P84PeZ0/NsyzvYWEypCk2WCZTC\nkoIvJ+coWw6DTLOTaPba45x2nuJep9/B416Sj+zncrlcLpfL5XLviLnnOvNvJ+/s53K5XC6Xy+Vy\n74Bh2N3/XpJ39nO5XC6Xy+VyuXfEkPHNl0m/F+Wd/Vwul8vlcrlc7h0wmO+5AF115syZ73Ydvi1+\n6aO/fObBwqNsZwkPjUDRHnCrFfJrG2dp02NHbtEQVZRReMLmhryGwTBj5rghr2PjEuDRVl18U2RF\nzlCwF+g7UJYThE6dvmkTWlV6eovt9lkALFUk021cu0w/2USpiMifpp+sY1kF0mwXAMeKEdKjEizQ\nTdbxnGEg4iC5RclfZKd3ASktfHcMbQyNwiE2O68CYFslkqyDUgFFfwow1MK99NNtlHRwrJAHnKdY\nDR6gKwRKuewX+6iYEa5zhSTdIvRnGI0OocmwpAsYOukmk9Y+GmaaN3qfQSoHS7g0/fsYcw8QeRP4\nqsxecxDHxCQyZb33Jg1/Px2zQWYSlLC5vfM8pXAPNWuBFVZQxFjCJaZO04oJdJ1tucMum2gSHBmi\npMNG60VmvVMYJHEwj1GKWrCXmr+PuqmzLodBdCV/ASEEo8xQdKdJRI/13jmWnf0MsiJ7oxLn0ut8\nsPzDPNP5Mw7I4zwQH+VctsZ18SYFU6MpF1hSM5TEPHVVoK8zQuHxha1/zYR3jBFvGWNJKqZBYIrE\nok5kQkatiFd4k2WnwUvmJU5YB6jJPcSMcqn/FRYLj9MVHRQ2dVOjZipcEK8zxxEsO2LVbeJmAbEM\nqMqIiuOwa7kYYYioUGGcTXOdbrLBIfUoUkXs9UZx1QJ4AUIq9ooTZK7LGAvUnWX6oosWmoyUa1uf\noejPMB6dQEhFUY1xrfUcrhPjyxJ9s8uEfYgFsY+amKJtdaj6S8SmTltsYgufihkj8Bp09Sad/lXK\n/jKWcAhMgcu8xCDbZSl6L5NmnkW1SMO3KdkuDV+gcLGMTWwKCONTMmXmrDovtJ+mYi0gkRSlx4bV\notO/DoCUPq5TIUm3hu3bLrK++yLlaC/t3iXiYIFB2sJSHqkZIKUzDP4UgtAbJhTq6x6uU/1GGUm6\nhZQu3WQTrXuMhUfZ6J7FtsqMFo/S6l1GKI9BsokxA4xJmS29h4azl/XkPJVoD7d3X2C29F4KToNr\nW09T9OfYY45Qtjye3fxNXKdGWU4O68WAKTHNwUIVPykTmIiGHdEMFaM0ibNxrnORST1LR3QpqQks\nHFpsEAfzHHZXcIRFUVfYli32iVWumIvMmn3MySkmZZ3b7JKJPld2niYIZvAoMq9G2TAtJkQdy5/E\nJ6QnWviyRCfb4Yj9KNORzWSgWSokxCpmvzfJTtficDBLWS/g4nBL3uRi/znG/AM0nf0kVkq7e5E4\nnMNVMa4q0Ms20WTc2fkKabZLHCzQGdygFCziOzU6g5sUgnksFVHzl+hmLTI9DFI86P4g+50DzNiH\nwPgMZB8HH0eFVHSVI2WXT7cuMuUe5+zuH1FwJ0hFxrJfYd6PCZMKsa7TFxmp0DwQTWBh07CP03QD\nYl2nLRIeDpf53PanKNkTpEqzbO1joeigjaSqm/xx61fYaz/GODMs27NsOxZ90+JW6yUm3fsQtsMq\nJ2i6AZN2lbW0xYrTwNcBN8R1jgfTVFybzUHCbOhwqNTlhS2X/X6DycgmdiS3eyEHvXFaaYojJbN+\ngVtJn6vpV5nxTlPVdZatgxR0iaIp4koLiaBplbis1yiaMkdKRfZ5y/jKomiKtHRKIvpYOGzK2xhp\nGBOzvNL+IyrODC25y8PhAp2+T8nERMKjR0JH7lLRo9xS1yiZCvvLHjq1uZP2KJiQltNjmWM0RIWB\ntHFEwB57nE6mcY3PJjeYtY6yK7ZJkk2mvKPUxAybXCcWYwQm4GR0ki92P8U+6zCWLnCV10lUwra5\nzoi/j+3kGq3edaaK92NERiIS6kzz+tbHKXozTLKCZ9zheUHEbXkTKSz2iWNsi20WOcS6WMOWAZ1k\ngx9tnmS11OHTay77K5JxP+Fyx+bF7nP0VJe6GOdK9jp1e4nb4iJtscXp4jRXel1qts+Lgy9wefvP\nWHHfxXX5Fm9t/gGT3gmOlyporSjJFfb7J7jMWyAF0+4JXH+EVnaLvt5lXCwh/Jh56wTKr3BMPsCz\n27+BUgGNYD+2UyTVPQbp5jfu15bySbMuvl2l079O4E1hqQK2VaQW7UVIm3bvBkvOQ1R0FZBU1TSh\nXcdISOgg0wKBcDBAzYwTO5KiLfls6/N4qoglPOqiDAIagcUzrefYLx5kVM4x4h/ggH0Y7de5L6pT\ndCR7Y820tULTiilYNrEI2DGCAV2KjNK3+hSsMTxVZGDajIsVEpmS0KOT3GHEW6bBKB+sLxNY0O/5\n1H2LrUHKZGSx2de8kdzk/uAkm2mXUUZ4Q77MijtBJAJeSa+wZdrMi0lSbRjxbaYjxW4Ca0mLK/1n\nbpw5c+Zj35EO41/Tf/fRf36m6M1i3uax0X31njmGfGQ/l8vlcrlcLpd7R0w+Zz+Xy+VyuVwul/t+\nZAB9dwnm7xXft+vs53K5XC6Xy+Vy31rDkf232/5DCSH+qRDiJSHEC0KIPxZCNO/uF0KI/0kI8ebd\n54+8XVn3XGdfCFESQnxcCPG6EOI1IcSpv/Tcfy6EMEKI2nezjrlcLpfL5XK5v4mGq/G83fYt8MvG\nmAPGmEPAJ4H/5u7+9wGLd7efA/7XtyvonuvsA/8K+CNjzApwEHgNQAgxCTwOXP4r3vsNEsWbg3Vq\ntsutvosfDvBURmYSeqJFQZfZzgYoIdmkxaxeYFFM4wuLo84il81LXJBn2UwuMaJrFG2LVb/GXvEA\nr2//LlfbX6I3WEegUMLFc5s4do1quIhj19lqv0YpXGCycBpXDTP0Jek2rtNAIPCsEq413N/tX6Xm\nLVL25+4+P8zyGbhNMj0gy3b+X8empIelAhrRYXZ71xhz9jOjVyk4zWHmPbtJbNuUHItxPUFHb+FK\niQYe9z/MTPkJQmeUJssclo8wqYfZMWeDB4hMQM0aBs5NiQMsmD0AZKQ0s0lGs0nKjkNDFdnJrmMp\nn9CUMEZTsxdYkQ8MjynZpGhKBEoxpaosiklu8hY30xZNJ6JuagROjZI9jSMiAArBInURc67zZ9Sy\nMZKsS0HU6ZpNrsmrLHKMdnqLjd5bHBb3Uxcx26yxrA/S6p5noDW+8Si7giNqiUQbPlL5EFumQ82T\nFHXMnN7Ljtxm1A5phhZl5VHzLF5I/ohNdnl3/J9xW1xhnBE0mpLlkoiEfUENG4uab3HKWcGRkoPi\nEEoIxjyfTbnBIN1hxkwyaSaYZgwLwTl5joPcRyR8ZvQMnhJkRuNKyUBr1vsDLmx/mlg0cI3H2cHT\nWMJlr/sEBeVw0p9mZ5BxTZyjk66zbD1I3fU4v/lJ+qLHlBwhpMwB7qeXbrFa/jC+KjGaTbLTv4Y0\nkkZ0mG42DBYr0WSXdS7K89hYnFSn2U6usiVvsTW4TEbCCDFzeoaG2kPgTRFRxTI2Lg7jYpWDzpNs\ns0bTiai6NhMhBJbAkZBow8GKzVhgAwzbkpT8QPQROrJNXRVYM5sUVAMA352g279KxZv/RvsepMOg\nzoLdHJ4PQtIfrJFmHXY756j7exDCwrZiMt3nTucsSjokaYtytJfQnyHy5wi9KSwVDM8ZhvXRps+I\nmKUUrQ6zSZphhuvIn8M2Li3ukGVtpsQB4mCYgbSp5yiGy2iTULJclks2B8s/xX75LppmlCW9xPWt\nz1J1HUY8wWRk0zF9QkuSaLjdG/ACz+KJIk03oKwr3NRvsEdNoIRFUTV4KblE2VXUPZdDYhVPKQ5w\nmBmvyE29TWApdrM1droXeTD+RRbFNG91P0M7S0hEn4bvsCJn+Ormr7LXnGDZ7OeR8Cc5J14nUND0\nEgKVMe5rXGU4XR9mvq57LpnRHFFLhHYNy9hscJWyNY0QFv10F20SXBHRT3fZaL1C6M9QDJfxZJFK\ndIAkaxHKKvPlH0AJi1F/mJm4Gi4yVrofz21SUyEbaY/QsrCNTd+0KOkaBVOh4USEluG4u8ixqMnR\n8MM8Fi0yqke42U0o2IKab7EmblMwZd5dmmAsgPODDSZ9n4onOc9lLveeI1DwRPDjjOlhFtL1uwHC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bgambVUTKpmbeOMufHvKkvUZYTBKJMnxZNMcaBsmQ+CBn3U4ywyRAcrWq+dCdhrmAx4Wt8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\n+8YYY4wxxmxR/xv75bpnInR6bgAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"F8cFBawZMKWE","colab_type":"text"},"source":["## `librosa.decompose.decompose`"]},{"cell_type":"markdown","metadata":{"id":"n1xR4s-UMKWF","colab_type":"text"},"source":["We will use [`librosa.decompose.decompose`](https://librosa.github.io/librosa/generated/librosa.decompose.decompose.html#librosa.decompose.decompose) to perform our factorization. `librosa` uses [`sklearn.decomposition.NMF`](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.NMF.html#sklearn.decomposition.NMF) by default as its factorization method."]},{"cell_type":"code","metadata":{"id":"mEjlEcjKMKWG","colab_type":"code","colab":{}},"source":["X, X_phase = librosa.magphase(S)\n","n_components = 5\n","W, H = librosa.decompose.decompose(X, n_components=n_components, sort=True)"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"xWtgA0CCMKWI","colab_type":"code","outputId":"75c292a2-4050-4dd3-9303-d642bdf111fe","executionInfo":{"status":"ok","timestamp":1579186776043,"user_tz":-60,"elapsed":2260,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":51}},"source":["print(W.shape)\n","print(H.shape)"],"execution_count":8,"outputs":[{"output_type":"stream","text":["(1025, 5)\n","(5, 1230)\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"-0H5E6JyMKWL","colab_type":"text"},"source":["Let's display the spectral profiles, $\\{w_1, ..., w_R\\}$:"]},{"cell_type":"code","metadata":{"tags":["hide_input"],"id":"34LhW5fOMKWM","colab_type":"code","outputId":"8f2c1ced-ea12-4cba-9bd8-615ec9f75dfc","executionInfo":{"status":"ok","timestamp":1579186784165,"user_tz":-60,"elapsed":3483,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":448}},"source":["plt.figure(figsize=(13, 7))\n","logW = numpy.log10(W)\n","for n in range(n_components):\n"," plt.subplot(numpy.ceil(n_components/2.0), 2, n+1)\n"," plt.plot(logW[:,n])\n"," plt.ylim(-3, logW.max())\n"," plt.xlim(0, W.shape[0])\n"," plt.ylabel('Component %d' % n)"],"execution_count":9,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAwwAAAGbCAYAAABpgxepAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\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YcK7Vyfq9HkTjKiIxFSG/vQarudbUbcNu142azD4tfh5ujdRmtSOZCJBwQGSM0atf7MZ9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\nEIcM0v8mBir5ai9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6V/Fgzi0n4uMfnYZJQ6xysKU2WZX//scyY1O0ZBi8DNGEilhCNTby\n1kg8zXh2xVUEfZpR2WozA6KhLWmQ9rVGMLhYu//Q0hB2N4exdm8rHnl/C35qMwgpW1lVYeTcaoYF\nwiHKJ5Uk0YA4vNxV8ZIgDirsVJIEbtLbIquZyWGYOKQYH91xGv7x6Y609+xq60UZprm2XzgD1foM\nH3Oj9LIdTQCSmQwRINmlS5xaMwxKWhDDHBza3x41ssWpB8sLpg0z9mv7DEPy+v0dXZZyqfdvPwUF\nfgUdXXH89LVVxv2FCuCCdbWobY2kBYbsDuGyDkOsGz0MLeEYfApDeaHP1gaaMwzXPP05Fm5IDpa1\n68NzIhfzf5xo0sunMgUlCcIOchhSEKVIboPb4i49DOdNHYYLpw+HN4OUqxt+r8exRt6nePDqjSdY\n6mhDPgWKx7qxluj61prDkPl5IiPyw1dWAgC+OnUoLtebsTNNSA14FQwq9OOSGdY0emko6TAcM2aQ\n8fddjZ24/eUVaO6MYUK1liEJKFrTs4jgHFJRgPauOD7f3mR8rjMax8ebGxD0eTBrbAWW72xOa47b\nljJttVo3tGMHF2JLXYcx2K4kmO7MhGMJo7FbJmsgDv6tWcuq5sYomA8xshL14t8I9TEQhBXxu+EU\nYAFgu7cXB4TD4Px79Zaecf3ojlONORF2cp9jdGnobz6xGI0d2iFPzMup1Pc4s4rdfW+uRU1Tp3HY\n3lSrBVdeW74bXg/DZJM6XsDnSQtiiL4Ezjn2d3QZE6fNa/vbt2Yg4PUYe0fqYdrrYZg0JPmc/e1R\niyhFgV9BaciH/R1Ro4F6cJHf0hd37P3v4qt/+shyXzvnwMUMG8RU1ZBVl5lADWgOQ2nIh5BPsXUY\nLMp9Ke9/sqkBdQ79GKnIOjG9hcgKOZ1zCCIVchhSSGYYMl/jU9xLkgR2aevexG9SMAr5FHg8zNIc\nNvOQcjx/3bEYOajAsSTJn6KE5FcYTj+sCk9cPRPXzx6b4VMaF04fjqU/O8OYe1Bmchgeu2oGHrri\nSADAi0t24ZVlNQCA0yZpmRef4oHKgcsf/QwAcNIEbTrrt55cjLZIDIu2NOAXc9YBAM44rBonjNfk\n6mb96l1srW+HqnJc9MgnWLKt0VAVAYBqvcF9bGUhNtS2YbOelUidxRFPqHh/Qz1mHFIOQG7jFlE4\n6TkMGSJxvYU5Kiib9RDGN9NAIoI4WBHbp91ZyjLMzS7DoDsMqX1bdpQEvRg5qAA/PfcwAPZZCfMh\neoceFKlriyDg9VgUlcyc+JuFxt93NnYioXK8sqwGXztyuCHBCmglSdG4agkaiCDIkm2NiMRUVOoO\nw2hdiem+C6fg7MOHWMpyU/ccxcMwenAhbjp1HAAto2zOMAR9CsZWFmJFTbPpZ+EzsuGCVAEOW4dB\nMkCilbRqJbuymd6WcAwlIR9Cfq+lV9C4p+k+qXblhueW4+wUh8dtfd1h3d5WjP7xHCzf2eR+sQkh\nM5tt6RRxcEMOQwrCICgOB33F4970LOhuhkEWs1Rs0OeBwqyKGhVFARw/fjAK9HKlTKRKp/oUDxhj\nOGNydcYJ2WYGFwWMxukyU0lSWYEf03VZ1TdWaIPeTptUhRG6WodPf+5aPQMwbWQZbjltPKJxFTc9\n/wW++fhiPL94J3wKw+VHjzIO9gBw/9x1eGvNPnyxUzM8ooQKAI4ZPchYFwA8+oEmfci5ZsA45/hs\n6378/dMdqGvrwtXHHQLGnAfOCYShaAnHpCL6XUbPQ24O5+ZDv9vk1uSasiurIoiDBXEItXMIzL/v\nPhsbIcqD3AIPIZ+Cb+gZXLGH22UlPB6Gf91wHADgbx9swV2vr8aG2nZUlQRcMyAFfgV7W8K44Z/L\nEI4lLHsnoJckxVV8aTq4b9WlYP+4YBMGF/lx6Uwtezyhuhjr7zsbV+kSnGYbmLpnip/bD78yCZXF\nATzy/hYs1TPGl84YgQK/gglVxdhqkqH1pGQ/7LCzuTL+wpe7mvHMou1o74qjOOh1Vc0TtHRqGYaS\noNc2m+wWqBEZIRm6m2FYqE/MNvcIyiAc2gOc2CD6OeQwpCBshFPTs9fjkZ4WaWdUehNzZkA0PdvJ\nz3FuLw0osHMYskWkxktThiSNHFSAcZWFqGvrwtjKQjx1zdHGe6lGYFChD5fM0AypkPUDgAK/FyF9\nuN1vL50GQGvcvfE5TbZ1YnUxThyfHJYzWs92nDt1qOX+2xo6cNR972DMT+bi8sc+w71vrgUAnDih\nEmMGF2LDvvT+iFSEoYirXOrALQxHrpqezelyt5kTAlFjK6v0BADvra/FXa+vpqgUMaApL/RjxiHl\nlpJQu73TzqEQTc9u9iGhciMoZZTKZDi9iaFzb6+pxd8/3YEPN9YbvQ2Ch795ZNravjXrEGzf34n5\nazUltOPGWlWdRNOzmCsDaL1mAPDzC6fgt5dOswy8M/88vB6G/R1RfP+FL9IO4Oafi9gr/vGZ1rNx\n/8VHgDGGQ6uTfW/D9GxwcdCHJ79tr2QIdD/D8NnWpLBDSdAnXUraEo6hLOTLOOCuO/tuJrrbw5DM\nhmUXmBT/1mRLWM18vKkBu2zUFN3gnOPZRdvR0in38yfyD3IYUhBRG6dzvkwPg/naXOI3zY0oK/DB\nwxg4T98IOLhL07O1qvJrFQAAIABJREFUX6I7mRHhvAzSjcwpEyuN9+44exJOm1SFf3z3WMtnZh5S\njinDSrDw9lPw6o3H45RDqyw9E8KYCEUQALhkxgjMTpmkOffW2UbvREVh0siNKC/A4yY53Q02KknT\nRpSiKODFUaPK8fn2RkTjqiH5xzlHQuWWn6fZUOx1kAEEtP8PosEsVyVJlgyDpDEUjk5nFs15v563\nHn//dIellIAgBhqnTqzCv2443mjCNWPeVp16GNzsQ4JzY9aPCM5k+oy5xFMweag1Gn/e1GEYV1lo\nfF3gUyyZ3ltPn2AEUQR+XVa1prHTsCOAtr8dWl2MUxwEO0Sv3/aGjowZBsBamvXdE8cY36sYNgdo\nToQg9WcuDrbxhGobDbcLjpn5+X/W4OWlyVkDpSGfoRDkhuhh0JyM9M9ks3e60d3ss6gmyNZai5Kk\nuMqxc3+nMZhPhm89uRizH1jofmEKq3a34O431uCOf63I+rNEfpBx0vPBioxK0hXHjpJuFnUaANcb\nBLwevPK94zCivADFQR+Gl4Vw5KgyqBww2zOVO28qqRkGfzcyDCJSpniADb842xKJ/sqUIfjKlCFp\nnzl2bAXm3DIbADAGmkELepLOy6KfnI7Vu1ss/QkA8MAlU/H26n14fcUe/PXKGVA8zPh/NqjQmuE4\nfLjVuBYHvDhlUhXGVxZhTGUhDtdT4WccVo1XltXg0J/NM649YXwFPtm8HyMHhfCHy6ZjQlUx9ndE\n4dfrf7fWt6etzUxbVxyxBM+qdhYAXlyyE4cPL8Xhw0tdrzUPX5ItSRIOQ4fNkLxMNOjSiLK9G91l\n9e4WnPfQx5h362wcNtS5TIEg+gonlaSoQ2OtCEKIzwvHI9NnSmwchu+fni7XPffW2fj2U0vw2dZG\nBP0KCk1zfP7nzEPTrg94FcQSHB3ROAoCCm44bhz+9O4m7GkOY2xl5j0NSNo1D9Oi6+OrijBr7CD8\n87Odlux8cVA7oP/rhuMw45CkAIY5W1FkkmCdPLQE46uKsFmXg91S344Xl+zCM4u2267DyQzXtUbw\n9CfJzz1x9Uw8vWhbVhkGEYRqaO9CbWvE4tDY9TWkYp507UR3MwyyvZRpnzOEOBI46UHt8N+d6dTZ\nIM4DdsNhif4BZRhSEKk9p4P+BdOG4WtHDpe7X44dBsYYZo4ehCF6JP6yo0fitRtPSDdmB6Akya+X\nJEUTHAGvYjt4TpbFd56OebdqjsThw0vTFKOGloZwzQlj8NqNJxjfu5BS/dasQyzXVhcHcdzYCsOh\nOWH8YDx0xZG49YwJuGDaMMM4mhWdBJ9s1tLZuxrDuORvn2LavfOxbEcTvjZ9GBgDfvrv1Zi3ai++\n9cRi/DZlMBGgReAALYsRial4a7V7rWlC5fjxq6tw3kNyg9jMjsh3nlmKn/9njetnxDC7fVkoeYjf\nDVmD213+73MtIvjxpoacPocgeoLZRtx/0RF49cbjjX3UKcMgDk7i836XDEOqLfryrjPTSpIAzQEQ\nKnAFfsUyC8EOIaXdGo4j6FWMQXTmmTqZEOVUK2pa8O76OiRUjtH6zAbFFKm698IpCHg9GF9pld4O\npJTSCjwehgW3nYy/fWsGAODh9zZndBYA55Ia8xDS4WUhnDG5GqUhn1RvQTiaMBwG0Qc3P6VPoKMr\nDsaAO786KfN9JEs+zdlnmYZ58xoA+1lJTtgp98mUJ5nL5rJV2BPPcpouTuQ35DCkIPbmbGsC8x0O\n7tL0bD2Qd8dh8BmRsp6X3lSXBLOOLlcVB7H+vrPx7eNHW173eBheuH4WrtFfzyQTO6jQj8evnonH\nrpqBNT//itFEfdd5k3H06GTD4ISqIlx/0jgEvB7Ut3XhhueW4+PNDXh44WaM/vEcbG/oQDiawIK1\ntViwrg4eBvzyIi3t/r1/LrOdI2Gm1uYQzznH59sbsWFfeklV6hRSc1QtE416mdSeLKI94uCSa4dB\nDOGzm+dBEH0Bs8nPmoMy5QU+HDWq3BCIyNSPACSjwuJg7fYZc4Q6ta8gFVEWGvIpllkIdohDe0s4\nhoDPY8xkufqpJbZ7kJlU87C7OWw4QuYMw+mHVWPDL85J+10O+pI3sMvUiD36zZXOk4/X72vDv7/Y\nbXxtLhNqMA2LE1maQ6uLsX1/ehkVoM0gErX5r3+p3XNEeQFuOEVTe0oNrnR0JVDo9+L6k8Zh5T1n\nAUiKbAhkG6zNB/dsGqA7HYadOiEa7CMO0rB2mK/pzFJhr7vODZE/UElSCkmVpIHlMKguGQa/14MX\nr5+FzXXt+Nm/V6fJxMkgDJCTscw1TrMrhFPkZHDNvRK/vXQqlu9swqkTq3DWlGpsqe/AmIpCDCkN\nwu/1oKIwYJteffTDLQh4FSMyNn1kGQ4bWoLvnDAGT32yDT98ZSWeufZoFAW8YIxhzZ4WPPnxNoR8\nCu698HD8bv5G416cc8QSHP9aXoOfvKoNOfrzFUdi+Y4mnDd1qNbc+OTitDX887MdaZkWgapyNOlR\ntr0tEdzzxhr873mTXf/Ni/dla4ABzSGZu2ovvnviGKnUPJA8UHVmaQQJ4kBilswWmWSfRzQwZ46+\npmYYkk3PmT9T6FdwxTGj0mbepCKyFSG/e4ZX7IetkRiCXsUi4VrTFLbt4RCkqgg+fvVMrNnTor/n\n/ntuDlDZ2RpzU7QTzy/eiecX70RVcQCfb2/CHxZsxOI7T0d1SdAyHVso1R02tAQq10qdpo4os9zr\nxueW46NNDbj9rEPR3BmD18NwyYwR8HgYRpSHsK3BOuunMxo3Bp+VBH1YcfdZ8HoYPtncgGU7m/Do\nB1tx03PL8dQ1RxvN8Jkw98VF4yocTJT1c9HuKfAZGQbTc9sjcdd/M+bsQFskZiknc0PWeSLyF3IY\nUhBnGruIUn+Gc+76Pc0aW2FEnLuTYTh2TAVeWLIL41zqX/sKMTxohOR047ICP06bVK1/psCQghU8\netUMvLx0F44fPxiHDSmBV2E44Tfv4YUluyzXiWPAXedPxlOfbMOyHU044p75+jN8aDapRjy3eKfF\n4P5z8U78b8p06lte+AIA0lL1Fx81HMNKQ/hocwPuen01zp82DDv3d2JPSxjDy0JGP0RrJIa4yvHd\nE8fg31/sxjOLtqMrruL+iw53PNSLyNf+dnm5wNte+hKfbW3ErLEVUv0YQDLLl41jQhAHAvOR3vx7\nKrK3w8pCuPaE0agqts9iAkmHWHzGJ5GV8OoDLt0wZxhcS5JMGYaigBdexYMrjhmFF5bsdC1P8Vq+\nd+CkCYOxcpcmhiDlMFgyDDbytAEvLp0xAlOGlWDu6n1Ysq3R8X4PL9yMRVu08tEtde0YVOi37FPf\nPHYUAGCkvoev2t2Cpz7ehhtOGY+JQzTnZGWN5vD8/dMdqCoJYNLQYsMRnD2hEq8ur0FzZ9QIOLV3\nxS0HZtHvcNaUIca/k8+3N+HJj7fh/52R3kNixnyYbovEHYNaZkTEv7slSeZ+tLauODK3uWuYVQHb\nI3FAbksHkOyX604wksgPyGFIQWziHN1rJspXOJwzDAIhB+jzZu8wfO3I4Th6zCAML5M7kB9orps9\nFoUBLy6S7D9xw64p+TsnjMGTH2/D4CI/Tjq0Eq8u341vH5eM9Id8iiWt22wjMZdQOa49YTSe/mS7\nxVkoDnjRliFK87Xpw/Cri49AwKtg6ohSXP+PZZj28/mWay4/eiSaOqN4e40ms3jkqDL86OxJOPRn\n8/DCkp1oCUdRURjA8eMqUBry4e+f7sDkYSX4r9ljwRjQrJcx1bZGsKW+HbsaO3HC+MGOzmWtPpX2\n2UXb8aAuh+uGMH65Ln0iiJ6QemgGNDnnu8+f4vg5NS3DoPcwOGQYfIrHULZxwq8PdHvqmqOxY7+z\n9KW5h2FwoebgfG36MLywZKdrWanZKQh4FTCWlPN2kiQ3f0aQqV9Q7BeXHzMKXTEV0+7V9rO/fWsG\napo6jYGeAAxnAQBuefFLtEViOGvKEAwuCmDh7ScbEX5RdnXfm2sRiamYOKTEcBiKAl60hGOoa+tC\nXVsXHvj6VOOeV806BC8s2YlXltXgOn2QaVskntEpMwtv1Ld12V5jptMkPtHQ3oWRgwocrjZ9Tj/A\nR7LMMIh/a/tN/RztDgEazjleXlZjCQZmskWpbNNLdEW5WK77OoncQQ5DCuLf8kCTmtdKkiTUGvTI\nQ3ejAPnqLADaPIg7zs7coNYbXH3cIdhc147bzjwU00aW4XeXTrP83OfeOhvfePRT+L0eXH/SWPxm\n3np89YihuOv8yQh4FUOh6UdnTzJ6EYSTcf70YfjBmYfitS9248NNDcacipe/dxyOHp1s2D5zcjVm\njR2Ez7Zao3Ivfm7NfBw9ehD8Xg8eu2oGrv/HMsxdpTX1Cc10AHhrzT7sbgrjkpkjjJKJ3c1hXP3k\nEuxuDmN8VRF+ffEReP3LPZg6ohSXzhyJHfs7sHxnE2aMGmREsJbtbEJtawTz19bivCOGorwwcwRN\nRNuyVdOIJVSonKf14xBELigIKEZEPptDULKHQZfEdpnDAAB+hUk1w/oUDxIqR9CnGOUymTBKkvQe\nBiCZoehyeZbZYRD9CAmVgzG5A6G56dlNwjvoUyylpiPKQzj50ErDYZhYXYwNtW0oDnrRFokbPVCL\nt+7H8PKQpRxIZAFEUGLh+jo0h6MAB/a0JPeboM+DC48cZnw9eVgJxg4uxNLtTbhO0+LQsw32pUZm\nOyjTG2DOMGSTwRX3znbGj12fhNMsifc31OOOV1Zahv85ORhmTv3t+wCA28/SsizkLvRfyGFIQWyE\nsiPn+w2cS/2innxoJR67aoaxsRLZcUhFIZ79zjHG16lO2pjBhVh85+nGe1frk1MFd58/GaMHFyLo\nU/C9k8dh3d5W3H3+ZNz8/Be4YNowVBQFcN3ssbhu9lisqmnB0LJgWqMdYwwv/NcsfLGrGZVFAYwc\nVID1+1pR39aFRz/Yii92NuE7J44xapTPmjIEv7t0Gn7wslUf+z83n4jzH/4Y/7d0F15foTUBnnFY\nFRasqzOu2VzXjkv+9qnx9bFjKnD5Y59hb0sEg4sCaOyIIuRTsLW+A8fe/y4A4PEPt+LDO07N+DNc\npZcGzFu9D5vr2jC+Sq6e+ebnl+OzrY1YfOfpjr0sBJEtdrGWgFfBJTOGaw5DFiIZqT0MhX4v3rj5\nBAxzCLZkU5IkDoNu9eXi0B5NqIbzIBwGtwyD1+IwaJ/1KR5pu2F2GLLtF/QwZvn/cdhQzWEYVOjH\neVOHGiWhdW1dOGpUeYa7aCzZ3ogl25OBlakjSrGypgXDSkNpgYfK4gDeWrMPx/3qXVx7wmisqGnB\nBdOGpd4SgHWexNur9wGXZV7Df1bssZSX7jU5Lp9sbsAf3tmIh795lKEGaEb0PshkGMwSr3b/llIl\nuVWVY3dzGCMHFaBGD96s2t1ivC8zrM7s5IrG7oEWjD2Y6BOVJMbYfYyxlYyxLxlj8xlj9r91fcDj\nV8/EtSeMxpiKQveL+xEcyeyJEyMHFeCsKUMoSptDGGMZsz3XnjAGp+oDk358ziQ8+51jMLayCHNv\nnY1ZKZNajxhRmuYsmJ9x1KhyI7U9aUgJZk+oxD+vOxZr7j0bPzhrouX6r88YgR9+ZSJ+8/UjsOjH\np+GjO07FESNK8dhVmrxhJKbikIoCHDtGW8Mxowfh95dNwy2nT7Dc56QHFxrD7ESk70dnW5+1s7ET\n5/75Izzx0VatnyKhoiUcw5yVezH6x3Ms0a/31tfBjkWbG3D366sNg8k5x9tratESjmHuKmdlFaJ/\nkU/2IjWOJA4/2Zx5hXyqOCgrHoapI8oy/i4DWsbXqSla4Fc8iCU4VJVL9zAAyfIk0TTt5jCYHSRx\nn1tOn4Av7zrLdY2ANZDidZqSaoPiYZbnTzKp6d1/0RG4Uu9XAKy9EgKnn/MUfSaPXZZEPHNvSwT3\nz10PIHOZr+JhePH6WQC0eQ2b6zR1O1XlaXKk39d70gBg5KAQ3t9Qb3z953c3YemOJry5ck/aM95Y\nscfou3DrYdhY24ap98zHAn3qt1352x8XbDT20483NWDsnXMx+4GF2N0cxj8/1bLO5n8X7V3uJaPm\nPjThMPSGiiLRN/SVrOqDnPOpnPPpAN4EcFcfrSONsZVFuPv8KQOuzk6VHCBDHLzcdOp4fOPoURhW\nFjIcjbOmDMF9XzscgBY1u2zmSNz51Un4+3ePwcVHjcBtZx6KN79/IubeMhtj9UmzPoXhj9+YDgAY\nO7gQlx8zCl89Qhvad5Wu3LRmTyt+MWcdpt4zH+N/Og+z7n8XL36+01jLgttORnVJAPfPXY+VNc24\n8bllOPnBhdhU24bbX16Bbz6xGM9+ugP3vrkWX//rIpzzp4+Mz67Y1YyG9i7sauy0qI+YWVnTbNQW\nP/HRViza0vOZD40dUdz0/HKs39fa43sRFvLWXqg2UqJupGYYZPBl2fQcTajG3zMR0DMDw8tCOHJk\nmfXzbhkGJT3D0F3cSpJS8TCrg3b8uApcccxI/PyCKWCM4RdfOxzTRmi9ZXa//4t+fFrGzIAI1pid\nDkGHzWRnJ4GPWWMr8JNztBLYtXvbsHN/J87644e48gmrqp1okJ9xSDmmDC3FDtP8CFFyZBc4ucXk\naHS5lD19vKkBbV1xPPnxNgDWZucKvTx0Y207Hn5vMwDgiY+3Gu+vqmnGhtp0OW+RYdjV2ImH39uE\nvS1h7GuJ4LTfvo85uhyuuQ9NrLE7U62jcRXzVu2VmhVB5I4+KUninJstaiEwwDqMU3j0qhmOUY0D\nAXeZ9EwQmThOz2zcevoElBb4cP1J4yzvi8bv+f/vJMxfW4tTJ1Yh6PNg1tgKI43++8um4yfndOFT\nU3OimXAsgY/0QW23nD4B46uKcNGRI/C3D7bggoc/Ma478w8fWj73/OKdSGXd3jbM/s1ChGMJVBUH\n8NdvHWVMmU2oHPe9uRbPLNqOsZVag6qohX7/9lNQXuhHwOvB7uYwqooDUDwMBX4v5q3ai+37Ow1N\ndkBL4X/vH8twysRKXH/SOCxYV4s5K/di5/5O/Of7J8r/gAlH8slepIphiGBxNsEYo4chC4fB75V0\nGJSkw+B2kBeZgf897zCcffhQ4zni805Ymp576jBkW5KUkmEIeBX86uJkgzJjDLecPgHffXapbeTd\n7/Xgz1cciTdWaFH7+y86Ane+pklWj6oowKZfnmMr5PD7y6bj0y3/n73zDpOqOv/490zf3gtl6V0Q\nC1JUQMROorFGY6JJ7Imx5RdjjSlqTGwpmtg1UWOJsSBWVAQF6b25wLIsy8L2Mlumn98f9547907Z\nuffO9n0/z7MPM7eeOzOc97y9Dve+JzXGvPC44bh23phOx3rliaPw50++xdaDTcoCf29NK9wePzJc\ndnDOUd/mw09PGo3/O3MCHvmkFCv21IJzDs6B/bVSKdddh7VGCHW/iVmjc5X+EbGobvHg90t2AgDc\nXj9Wl9Vj/YFGKXwtEMLwnBQl+fmJZXtx+pQiTdO761/ZqLleTqodje1+1LX6cNpjy5Wu3I98WqoU\n5vjFaxuxZv9InC3/roCwhyHWd7Kn2o1hOSlxy7o++OEuvLSqHG9dPwczRkU3WCV6BtZbGhtj7AEA\nVwBoBrCAc14b57hrAVwrv50KYHus4wYJ+QAGe/vbwf4Z0PMP7ucHEn8GIznnBT01mJ6A5IUpBvv/\nlcH+/AB9BvT8XSgruk1hYIx9BqA4xq67OefvqY67E4CLc36fjmuu55zP6MJh9isG+/MD9BnQ8w/u\n5wcG5mdA8qLroecf3M8P0GdAz9+1z99tIUmc89N0HvoqgA8BJBQABEEQxMCD5AVBEETfpreqJKlL\nq5wHYHdvjIMgCILo25C8IAiC6H16qw/DQ4yxiQBCAA4AuF7nec9035D6BYP9+QH6DOj5icH2GZC8\nMAc9PzHYPwN6/i6k15KeCYIgCIIgCILo+/RWHwaCIAiCIAiCIPoBpDAQBEEQBEEQBBGXfqEwMMbO\nYox9yxjbyxi7o7fH010wxkoYY8sYYzsZYzsYYzfL23MZY0sZY3vkf3Pk7Ywx9jf5c9nKGDuud5+g\na2CMWRljmxhjS+T3oxlja+TnfIMx5pC3O+X3e+X9o3pz3F0BYyybMfYWY2w3Y2wXY2zOIPz+b5V/\n/9sZY68xxlwD+TfAGHuBMVbDGNuu2mb4O2eMXSkfv4cxdmVvPEtfYDDIC5IVEoNZVgAkLwabrAB6\nV170eYWBMWYF8CSAswFMAXAZY2xK746q2wgA+CXnfAqA2QB+Lj/rHQA+55yPB/C5/B6QPpPx8t+1\nAP7Z80PuFm4GsEv1/k8AHuecjwPQCOAqeftVABrl7Y/Lx/V3/grgY875JADTIX0Og+b7Z4wNA3AT\ngBmc86kArAAuxcD+DbwE4KyIbYa+c8ZYLqRSo7MAzARwnxAag4lBJC9IVkgMZlkBDGJ5MUhlBdCb\n8kJqQd53/wDMAfCJ6v2dAO7s7XH10LO/B+B0AN8CGCJvGwLgW/n10wAuUx2vHNdf/wAMl3/wpwJY\nAoBB6lRoi/w9APgEwBz5tU0+jvX2MyTx7FkA9kc+wyD7/ocBOAggV/5OlwA4c6D/BgCMArDd7HcO\n4DIAT6u2a44bLH+DVV6QrBhcskJ+jkEtLwarrJDH3yvyos97GBD+UQgq5W0DGtlddiyANQCKOOeH\n5V1HABTJrwfiZ/MXALdDKqEIAHkAmjjnAfm9+hmV55f3N8vH91dGA6gF8KLsZn+OMZaGQfT9c84P\nAXgEQAWAw5C+0w0YPL8BgdHvfMD9Fkwy6D4HkhWDUlYAg1xekKzQ0CPyoj8oDIMOxlg6gP8BuIVz\n3qLexyV1cEDWwmWMfQdADed8Q2+PpZewATgOwD8558cCaEPYtQhgYH//ACC7Rc+DJAyHAkhDtPt1\nUDHQv3PCPCQrBq2sAAa5vCBZEZvu/M77g8JwCECJ6v1weduAhDFmhyQAXuWcvy1vrmaMDZH3DwFQ\nI28faJ/NSQDOZYyVA3gdkqv5rwCyGWOiyaD6GZXnl/dnAajvyQF3MZUAKjnna+T3b0ESCIPl+weA\n0wDs55zXcs79AN6G9LsYLL8BgdHvfCD+FswwaD4HkhWDWlYAJC9IVoTpEXnRHxSGdQDGy5nvDkhJ\nLYt7eUzdAmOMAXgewC7O+WOqXYsBiCz2KyHFq4rtV8iZ8LMBNKvcUv0OzvmdnPPhnPNRkL7nLzjn\nlwNYBuAi+bDI5xefy0Xy8f3WmsI5PwLgIJO62gLAQgA7MUi+f5kKALMZY6ny/wfxGQyK34AKo9/5\nJwDOYIzlyJa3M+Rtg41BIS9IVgxuWQGQvADJCjU9Iy96O3lDZ4LHOQBKAewDcHdvj6cbn/NkSK6k\nrQA2y3/nQIqz+xzAHgCfAciVj2eQKoLsA7ANUrWAXn+OLvosTgGwRH49BsBaAHsB/BeAU97ukt/v\nlfeP6e1xd8FzHwNgvfwbeBdAzmD7/gH8DsBuANsBvAzAOZB/AwBegxSD64dkNbzKzHcO4Kfy57AX\nwE96+7l68fMc8PKCZIXmsxiUskJ+rkEtLwabrJCfo9fkBZNPJAiCIAiCIAiCiKI/hCQRBEEQBEEQ\nBNFLkMJAEARBEARBEERcSGEgCIIgCIIgCCIupDAQBEEQBEEQBBEXUhgIgiAIgiAIgogLKQwEQRAE\nQRAEQcTFlviQvkN+fj4fNWpUbw+DIAiiz7Jhw4Y6znlBb4+jtyF5QRAEER+jsqJfKQyjRo3C+vXr\ne3sYBEEQfRbG2IHeHkNfgOQFQRBEfIzKCgpJIgiCIAiCIAgiLqQwEARBEARBEAQRl15VGBhjLzDG\nahhj23tzHARBEETfhWQFQRBE79LbHoaXAJzVXRfv8AXR2ObrrssTBEEQPcNL6EZZQRAEQXROryoM\nnPMVABq66/rn/2Mljv3D0u66PEEQBNEDdLesIAiCIDqntz0MCWGMXcsYW88YW19bW2vo3N1H3N00\nKoIgCKKvkYy8IAiCIOLT5xUGzvkznPMZnPMZBQWDvrQ4QRAEEQeSFwRBEN1Dn1cYugLOeW8PgSAI\ngiAIgiD6JYNCYfAFQ709BIIgCIIgCILol/R2WdXXAHwDYCJjrJIxdlV33MfjJ4WBIAiiv9JTsoIg\nCIKIja03b845v6wn7uP1B4EUe0/ciiAIguhiekpW7K1x45dvbsHLV89CpotkBkEQhGBQhCSRh4Eg\nCIJIxCOflGJLZTO+Kq3r7aEQBEH0KQaHwhAI9vYQCIIgiD5OUC6QYbWwXh4JQRBE32JwKAx+UhgI\ngiCIzgmFSGEgCIKIxaBQGAIhKqtKEARBdI7wMPgCFMZKEAShZsAqDCGVkhAihYEgCIJIQFCWFe2+\nQC+PhCAIom8xYBWGoKpZW5AUBoIgCCIBIS4UBgpjJQiCUDNwFQaVkhCkTs8EQRBEAhxWSSSSwkAQ\nBKFlUCgMpC8QBEEQiRDJzl6qrEcQBKFh4CoMFJJEEARBGEDICsp7IwiC0DJgFYYQhSQRBEEQBhAV\n9UhmEARBaBmwCkOAqiQRBEEQBggEZYWBqqoSBEFoGLAKg8bDQAoDQRBEj8IYy+3tMRglEJI0hRB5\nGAiCIDTEVRgYY9MYY6sZYwcZY88wxnJU+9b2zPDMo/Ew0ORPEATRbTDGTmKM7WKM7WCMzWKMLQWw\nTpYfc3p7fHpRQpJMGJk2H2zCk8v2dvWQCIIg+gSdeRj+CeC3AKYBKAXwNWNsrLzP3s3jSpqgRmHo\nxYEQBEEMfB4HcAmAqwF8AOB3nPOxAM4D8EhvDswIwSQUhu89uRIPf/ItOBmoCIIYgHSmMGRwzj/m\nnDdxzh8BcCOAjxljswH0+Rkx1INVkvzBEJ77qoxK8REEMVixc863cc6/AVDLOf8aADjnGwGk9O7Q\n9OOXcxiS8Up7A5QAQRDEwKPTHAbGWJZ4zTlfBuBCAC8DGNnN40qangxJ+s+aCtz/wS68uLK8W+9D\nEATRR1HLkjsGwtpqAAAgAElEQVQj9jl6ciBGeWNdBZaX1gIAgnIOQzJGpg5q+kYQxACkM4XhTwAm\nqzdwzrcCWAjg7e4cVFfQk0nPDW0+AEC7N9Ct9yEIguij3MsYSwUAzvm7YqMcxvrvXhuVDh5fugdL\ntlQBCFdJSsbI1OEnhYEgiIFHXIWBc/4fzvnqGNsrOOfXdMXNGWNnMca+ZYztZYzd0RXXFJht3Lb7\nSAv+779bDJ0jKmvYrAO26BRBEERcOOeLOeftMbbv45z/uSvu0R3yIhTiqGv1ojDTCSC5pGdBO3kY\nCIIYgPTaCpcxZgXwJICzAUwBcBljbEpXXV9YigDAiLHoupc34K0NlThQ32b4XnZSGAiCILqc7pIX\nje0+BEIcBemywhAUIUnmr0khSQRBDERsvXjvmQD2cs7LAIAx9jqkiho7u+LimqRnAxqDWtHQi0iU\ns1mY4XMJgiCIhHSLvKhrlcJJ//bFXqQ6bIqHIZmQpHYfhaYSBDHwSGgSZ4ydpGebCYYBOKh6Xylv\ni7zXtYyx9Yyx9bW1tbovHjCZwyAEhZE4VBGS5Btg7UGXl9bi+pc39PYwCILoJ/Q3eSEq2zW0+bBy\nX11SZVUFlMNAEMRARE8Mzd91busWOOfPcM5ncM5nFBQU6D4vZLJKklA0PAYmfeFXMHJOf+AnL67F\nxzuOwO3x9/ZQCILoH/QreaFWDA43eeAXIUlJeBj8JrzUBEEQfZ24IUlyd84TARQwxm5T7coEYO2C\nex8CUKJ6P1ze1iUEzXoY5GONJK4JJcNI7CrnHI9+WorvHTsU4wozdJ9nBn8whPF3f4R7Fk3G1XPH\n6D4vN82BulYfqls8yHD1+V59BEH0Ev1VXgjRkJNqR1VzR9jDEOT488e7MX9CAWaNyTN0TVGatT/A\nOUeIA1YKpyUIIgGdeRgcANIhKRUZqr8WABd1wb3XARjPGBvNGHMAuBTA4i64LgCtlceIwiAsS0YU\nBnF9I67o5g4/nli2F5c+s0b3OWZplMu+/vPLfYbOy0mVyqcfafZ2+ZgIghhQ9Et5IbzPuWkOtHT4\n4Zfn8kNNHfjHl/vw/WeiCgUmxIyHweMP9kruw4Mf7sLYuz7UeOQJgiBiEdfDwDlfDmA5Y+wlzvmB\nrr4x5zzAGLsRwCeQLFAvcM53dNX1mzp8qnvpP08kLhvxFphJlBP5DnWt3b8Yr5cVhnSXsRx3l10y\nDLZ6KSSJIIj49Fd5IRbKKQ4rWjzhBXut2/y8HDDhYZj/8DJUt3hR/tAi0/c1w7Nf7QcAtPkC5EUm\nCKJT9KwgnYyxZwCMUh/POT812Ztzzj8E8GGy14mFaKYGGItHddqkRbIZD4ORCktef8+5revlSiDp\nTmMKg1CAKCaXIAid9Ct5IWRDil0bNXWkxaO8DoU4LAZCdsxU2qtukRQUzjkY6/nwILeHFAaCIDpH\nzwryvwCeAvAcgH6T1SsWyYCxkCSHTYrSMuIeNtPsxxvoOYWhsV36LFIdxkKJxeOYsZgRBDEo6Vfy\nQkxtLnv8ubHa7cGQrJROr8NVRqlAEuE9zR1+ZMuhoHoJhjiCIa7ILjO0eqkULEEQnaNHYQhwzv/Z\n7SPpYpo7/EhzWNHmCxqKz3TIzdeMVDwSSW5GBIUo59cTiMofRgt/cPIwEARhjH4lL4QXVa0w5Kc7\nUdfqxdHDs7C1shnbD7UkVBjUxqJAEuW1O/xBZBs858oX1uLrvXVJhTNRJTyCIBKhxyTxPmPsZ4yx\nIYyxXPHX7SNLEn8wpAgBIyFJwhtsqEqSvKA2ch9PD4YkKR4QgxqDEKZmXOwEQQxK+oy80GPAiRWS\nlOa04sSxeXj5qlkAgP11rYbulYyHwWfC8/z13jrT9xOo8zcIgiBiocfDcKX8769U2zgA/fU5e4Fg\niMNmlVb/RjwMwSTKqgaN5DD0oIfBTI4FEA5J8g+whnQEQXQbfUZe7DrckvAYHkNhSLFbEQxxZKXY\nkeG0oarJE+90BY3CkISBxYzC0BW0e/t89BhBEL1MQoWBcz66JwbSlbzw9X68vu4ghma5YGHhha8e\nlBKpJhQGYyFJPe9hMGr5EooWKQwEQeihr8mLdl8AqY74Yk5MbSkOtYfBpnhXh+Wk4NMdR3DPosmw\nWeM75NXGIn8SOV/JyAV/MAR7J2PsDF+QFAaCIDon4ezCGEtljN0jV74AY2w8Y+w73T808/x+yU4A\ngMXCYLNYDC2UlT4MJnIYjJRV7ckqSSKm1mhDISUkiWp0EwShg74mL9TFLyJp8fjx8mqpAqzTHhaF\nwsMAAKPz01DV7MHHO450eh+1kmDE0xyJLwnjjBGveCQ9KY8Iguif6DFHvAjAB6mLJyB117y/20bU\nhdgsDOkum6GELuFONuRhCJrxMPRCSJLBhb84OpkkPoIgBhV9Sl7UdtLn5kizBytKawFoQ5KsFgax\n5r970WQAQOkRd6f3USc9+43OsypDUzIhSck0fjOjqHj8Qdz6xmZsrWwyfV+CIPoPehSGsZzzPwPw\nAwDnvB1Av+gjb7Ew5KY5ND0ZEhHu2qx/8hXnGLHgmxUMbo8fe2s6F16RKIqCScMXVUkiCEInfUpe\nbChvjNpWXteGPyzZiSPN4dyESIVBhGMOz0nFsOwUHGzswL7a1riyRB22adTAog5DSkZhaEsiD8HM\nfZdsPYx3Nh3Cv7/p8j59BEH0QfQoDD7GWArk5SZjbCyA7m9PHIODje2GEpitTFIY6g0oDIEkkp6N\nJLsZ6dmg5vLn1uC0x1YYOke5l0GxHfZMkIeBIAhd9Bl54bJZ8dKq8qjt72+pwvNf78c/vtyrbFPn\nMFgY08zPI3JT8c6mQ1j46HL84NnVMe+lPt7o3K4OBzK6cFffKxkPg5nciQ45bNds3gRBEP0LPVWS\n7gPwMYASxtirAE4C8OPuHFQ8mtr92FzZhONG5Og6njEgN9WBvbWJy+IJhJfASEiSmLSN5DAYdVsL\ntlY2S/cy0H3UbNUOs9WVCIIYtPQZeZGdZsehpg64PX5NF+M6OUxp44FwKM0xJdk4d/pQdPiDWDip\nEE0d4TDWkXmp+KasHgCwO05okjrc0x/khubndpU322hokNqzYVTZUBvfzCgM/oDo70PygSAGA3qq\nJC1ljG0EMBuSjfpmznnyhZ9NsvWgAYUBDCkOq6F8ATNlVcWkbSi5Osm8AE8g2Gn1D829QuYatwWU\nKkkkEAiCSExfkhd2iwUBSLkKaoXhsByKpF6cZ6XY8bfLjo15nRF5qcrr40fGlj3qRp8vrNyPF1bu\nx3s/PwnTS7LR3C4pH1mp9pjnqmWN0UW/+hmMKhu+JJQNIKxkmPWWEwTRv9DrS3QBaATQAmAKY2xe\n9w0pPhbGsK+2zdA5VgszVLUinMNgXMkwMnEmW3nISOM3v8nQIgpJIgjCBH1CXtjlPjxHWiQFYU+1\nG6c8vAyf766JOtbC4nsDclIdyuum9tjhravLGqK2vbe5CgAw64+f4dRHv4x7fXUPBKMLd7/qeKOG\nnWS8E+pzSF8giMFBQhM1Y+xPAL4PYAcAMatwAMYC6bsAp82CfQbCizg4bBamWZy3ePz400e7ccMp\nYzE8JzXqHHGsmZAkI6E76jEZcV8LTCk0BgWKSN6jPgwEQeihL8kLu9WCDkBJbn51TQXK69tjHtvZ\n/Dt5SCYAqepeU7u24p7HH8Tv3t+BysYOZLhscKs6Jr+wcj+unTcGHn8IHr8vbk8Ide6B8ZAkVSiU\nUWVDda6ZPgzinGRKwRIE0X/Q42H4HoCJnPNFnPPvyn/ndvfAYuGyW6MUhtJqd6fJXjarNoHtmeVl\neHVNBT7Yejjm8eGQpIDu2MyAiRwG9ZjMeBs8BhQGM2VfgfAYKSSJIAid9Bl5IZJxq2UPQ2eGD2sn\nHoZjSrLx1e0LcNXc0Wjx+DVy4dOd1Xht7UF8tacOBelO3HTqOM25b2+qVF7vr4vtHVf3/Iln6V+1\nrw4T7/koqkqT+pmMGnZ8SVZnEsnaRoxrBEH0X/QoDGUAYgdf9jAOqwXVLV5lYvQHQzjj8RW44ZWN\naGjz4f0tVZpELoboxm2iMVurN7aSEQhJXokQ158IFjCRw6D2RpgJ+THmATEXayqeJ5lSfwRBDCr6\njLxgDMhOtSshSVVNHcq+3DSH5thEDt6S3FRkuuzwB7lGLtS0hEuz5qU74LBpRerWg83K64o43g31\nXB7PWv/sijJ4AyGsK9eGPiWTw6BWMMwkPYv7GTFeEQTRf9GTNdsOYDNj7HOoyuNxzm/qtlHFwWpl\n4AAa23wozHShTV70Ly+txQ2vbMCa/Q04piRbe45F62EQVpGaluhKf0LZSHfZ0NTuR4cvCJeqPnc8\nPCaSv9RKghkLviEPg8nGbeJ5jAqEBz7YibLaNjz/4xMMnUcQRL+nz8gLACjOdOFIsxecc2ysaMLU\nYZnYfqgFZ00txuWzRuC/6yvx0qpyXSGhGS5JXLZ4/IpciJy7I0uMVjSElYQDDbEVhsik51CIwxcM\naWRPVoqkgzVGeBh8SeQwqMOnzHgJPt1RDcC8wlDj9qCp3Y8JRRmmzicIomfRozAslv96HZuFwQ+g\nXlYY1BNeabVU7i6y54KUwxCeVEVDtjX76/HOpkqcf+xwZZ9YUGcIhcEfhJ56TGLCNOIpUC/ezXRS\nNpL0LLwZRnpYcM7D+RwGBcKzX+03dDxBEAOGPiMvAKAo04XqFg/+u6ESzR1+5Hod+PiWuRiVlwaX\n3Yp1eZLFvrOkZ4FQGNyeAArlNa7aSm9hLMrDcLChHZkuG6wWhgNxPAyaHIZACHe/ux2vra3A/j+e\nAyaPy2mTlIeG9q4LSapvCxvNjFQFBIAtB5sUz41R+SBY+OhyuD0BlD+0yNT5BEH0LHrKqv6LMeYA\nMEHe9C3n3N/ZOYlgjF0M4LcAJgOYyTlfr+c8oTCIOE51WJGwtCyWK1NI94n2MIiJsby+Hbe+sQVz\nxxcgP90JIGxRz3DaAXTomkQ558qEaSSySD0mMx4GI6VizXgY1IeSy5kgCD30JXkBSB6GnYdbsEyu\njHTyuHxMKs5U9oupt7McBoEkF7SWefUi/UdzRkYlRbu9AZTkpiA31YGDejwMwRBeW1sBAGjpCCil\nWEWeQ6QnIBmFQcjRoVkuw03f9taEcwnNKgzqz5EgiL5PwhwGxtgpAPYAeBLAPwCUdkGZvO0ALoDB\nyhk22d17SI5FVSsMYjH8wkqtdVtUSWps8+E/ayqilIBtlc2qa0gTrrAk6XHT+oIhpb+BIQ+DSkkw\nsvgXGAl/MpPDoH4WI94MNaRoEMTgoi/JCwAoynKhrtWLVm8AQ7JcuPc7UzT7RQKzRUc2X9jDEFYK\nfMEQHDYL9v/xHHzn6KFRHgZAKstanOVSLPI1LR7c8vomZcEuZFKGy6YJMaptDXsAWuV7tnm1c6ov\noKp0ZCAPgXOOWrd0/eE5qYY9DB6VzPKalA/KtUhOEES/QE/S86MAzuCcz+eczwNwJoDHk7kp53wX\n5/xbo+c5bBbYLAzlcrWJVpWFItURO9fAarGAc+DX/9uKu97ZFpU01qKa/MUiXggGPVYX9WLaiKcg\n2QW5mZ4PRhQa9fXNWpAa49QsJwhiwNJn5AUADMlygXMpZHVsQXrUgl7Mc/pCkqI9DIEgh8NqUUKH\nHKochkxZjozMS0NxpgvVzR5wznHJ09/g3c1VWCN3j+7wBZBit8Jps2qSj+tUCoOQLR1+rUxSyy8j\n8ueFleW4/4NdAIDiLBeaO/xyYrW+uV7IrKJMpyIf1pc34J53t6Givh2PLS3VrQg0dyTlgCIIoofQ\nozDY1ZM157wUPVgFgzF2LWNsPWNsfV1tLYblpOBgo+RhcKs8DI3tsScdm9y8R1hrIl3Gai9Fm6wg\niBCldh0Tnlc+Jt1pU5Kw9aAODzJjYQkaKOGqbrCjN49BPT6zZfMirWEEQQx4+oy8qK2tRXGmCwBQ\n3eKN2WlZzKNWA0nPB+rbcfPrm/DVnlr4gyGlQRwAjUIyJCsFADC2IA1FWS64vQGsLmtQekEI5aDN\nF0Sa0wqHlWmUhPrWsMFFzOGRngD1MUZCkh77NKx/pTltONzswQMf7sJzOvPPhMw686hidPiCqGv1\n4qKnvsErqysw7+Fl+Nvne6KMc/EgwxJB9A/0JD2vZ4w9B+AV+f3lABLGkDLGPgNQHGPX3Zzz9/QO\nkHP+DIBnAGDGjBk8N82BBjlZq1VHDKQQBLY4AkF9DbHALciQFAaPjoWysLQUZDixv64NvkAopls6\nkqAmJKl7PQxqD0GQc1iQWDiqx2fWZUzlWAli0NGn5MW04VnqfTGOF/dPfO1MuVLR0p1HsLGiCStK\na3HW1GJNZSS1h8Fuky46qThDWeiv2len7BehTR2+IFIcVlgZ0+Q5qBfS3mBshUHrhdA/37aprpOm\n8s5XNsbOs4jE6w+CMal6kycQVLz+avTO/0YMbQRB9B56PAw3ANgJ4Cb5b6e8rVM456dxzqfG+NM9\n+cciL82hWFVavVpvQayFulAU1BakkXnhDs9qD4N4LRQGPXGdIpYzP12q66138vNrQpL0LchDmspK\nBhQG1XPoVTSEh8Flt5gOSUokwDjnePiT3SiTm/FtP9SMp5fvM3UvgiD6BH1KXuSnO3HpCSUAgMtn\njYzaL+ZDPUnP6U7Jvia81Y3tfny2q0ajMNhVMujPF07H7DG5OHFcvuLpWLs/bHXfebgFgBT6mmq3\nwWGzYPcRt7K/qT3awxDp7a1v9SLDZUOawxq3t1AiCjOdymu98sETCMFpsyDFYQXnwOFmT9QxevMi\nOnxkWCKI/oCeKklextgTAD4HEIJU9aLXfIi5aQ5sOyQlKrfKHgELk8Jt8tIcmomLMaYoDDZVVtvC\nSUU486gi/PSldZp4VLHYLzAQkiQW+yKMye0JICeiKVAsgiZCkmI1oNODeuLWWylJjC/daUdDm1TH\nnOkQqmorXqJGQo3tfjy5bB+e+2o/vr3/bHzn718DAK6bP1bXGAmC6Fv0NXkBAA+cPw2/PfeomD11\nQgZCksQxBxvCDeBq3V7NuWoPw5ShmXj92jkApORrAFhX3oAhWS4cbvbgtbUHUdnYAX8whMwUm8Yw\n47Ba0NCmzk8QHgatUlDX5kNBuhP+UEhJon5y2V4AwM8XaLtOqxHFQI4pycaovDRlu958Oo9f6lHk\nksu9VjZ2RB2jN5TVrAf7o22HUZjpwvEj9RQ/JwgiWfRUSVoEYB+AvwJ4AsBextjZydyUMXY+Y6wS\nwBwAHzDGPtF7bk6qQ8lD2FnVDJuFKcqA6N55z6LJyvFWeQJXr3UzU2yYNSYPBRlO1LjDCkZbhIeh\nQ0fSs5gUFYXBqy+BS71w1xuSpFYyTIck6fYwhCtGhbj+LqLqxLtELmmxP/L5zfSlIAii9+lr8gKQ\nFvrxGnAKr60eY0g81OGuE4rSMVRWDtQMlfMZQhwYnpOibP9qTx1q3V7kpzuVxfcVc0aiIMMZ08MQ\nncPgRV66A3lpTkVhePiTb/HwJ7FzxDccaMDCR79EihyG9PyVM3DcyByl4eniLVX4ek+d5pzDzR14\nf0uVZpvHH4TLZlXCtPbXSV5idXiT3lKtej3Y9a1evPD1fsUodcOrG3HhP1fpOpcgiOTRWyVpAef8\nFM75fAALkHzVi3c458M5507OeRHn/Ey956Y6bPAGQvAGgvhsVw0CcldMAIqlRL24FZO5OlRIVLsY\nX5SBD7cdQbOsgJgLSZLuNSJXCnPaHyOWM+Z5vqAyuer3MIRUr7s3JCnsYZCcUB6dbmP1GPUqDJGY\nyekgCKJP0KfkhR4cVj1iMD7qCkt56U6cPqVI6cwsSFEtpI8bkYNPbglXmt1X24aCDCfS5aTqwgwn\nctMcmhwGJSTJH6kw+JCX5kR+ugN1rYkdOXe9vR37atvg9gTw4xNHIS/difx0J979+UlKWO1PXlqr\nOeeK59fiF69t0pST9fhDcNktyJONdKXVrUh32hRPCtC5h14thxrafLjtjc3YVNHY6dh//b9t+P2S\nndhR1ZLwOQmC6Hr0zJRuzvle1fsyAO54B3c3aU5p4t1T3Rq1b1Kx1H7THxCl8sJuZHV852T5uMlD\npAY+myubAISVigyXHQ5b/Nh9zjmeXVGGI80eZbE/c3QuUh1WbDjQ+aQHSO7lb8rqMb5IGodH5wJZ\nnbcQNGCFb/cFlEoeekurCuEjPm+9ViB/QL/nxBeMfU1KliaIfkufkheJuO2MiSh9QL8D5MYYYT6R\n0Uz+ENdUThKcdVQxTh6XjzvOnoSJxRm44+xJyj7hoQaA3DQnslPtaGjX9nsAoo1Yje0+5KQ5oC4G\nIohVEU/d20HM7QIx50eWZ90jN2mLDMXKSXMgT1Yy9lS7kZfuQFGGSmHopEqeOr/t7U2H8PamQ3hm\nRVnc49Vjb/UGusQLvftIC0qr++xPkyD6HHoUhvWMsQ8ZYz9mjF0J4H0A6xhjFzDGLujm8UWR6pCs\nMDtlK8Ob183BomlDAABTh0kVMcRCNM1hUzwMpSoF48Rx+QCgnCcqJYnKEWlOK1Id1qgYzMVbqvDs\nijKlBN25T3ytKAxpThtyUh1o6Ujshq11e9HuC+I7R0v315sorc1h0HUKAGmxL7wqej0M38jVPE4a\nm69cQw/qZO5ESc/xFAq94U8EQfQ5+pS86GrOkWWGmsgeDhlOG4pjhCX984fH4eWrZirhT9fMHYO5\n46X59ZiSbEUOTCzOkENvVSVT4yQ9t3oDyHDZkJfuRH2rTzO/P7Fsb1RlKLU3RcjSSHIiys8Ko1uF\nqoJTWV0rxuSnI09WdNp8QRyob0eRKoFaHe4biVo2lMkKiWhsFw/xKYtGfIJY1a/0sOhvX+OMx1dQ\nCCxB6ERPWVUXgGoA8+X3tQBSAHwXAAfwdvcMLTaiQdvt/9sKQHLfPnrJdDxy8XTsPCwlQz+5TKq0\nk+KwRiWzvXX9HOW1qKvd6vXjcHMHGtt8sFsZnDYrUu3WKGvOTa9tAgCsletL17i9uPn1zQCkakLp\nTpvGbRsPkZg9tiAdVgvTdQ4QmcOgb5Jr9wXgD3IUZkgxrnorV7g9AThtlrAXRG/YlIkchkiS7RxK\nEESv0afkRVcTs2R2hDPhznMmRx+D6DwJq4XhhR+fgHXlDThxbD7y0514fV0FjinJxvtpDtS5vQiG\nOHyBkNJzqN0XUApQBIIhePwhpDqsSHfaEAhxVDWFvQCPLS3F944ZhhGqqoAue3j8ItxUcNvpE/DY\n0lI0tvvx2toKXDZzhHSOzYI2XxD1baKXkQ/VLV6MK0xXqj8BUpO8QtV7dUWoSNReDPFsLTobuNW5\nvZpmb/4gh8NmPAdFyNPmDr+i+BAEER89VZJ+0hMD0UtKREfnnDSHktBmj4hFTXVYNdWRAGDGqFzl\ntYgZbe7wY84fvwAQtsCkRHgY1IvbpTuro8blsluR4bJpqi7Fo0a2pBRlumQlQ2cpVpUlRG8OgyhB\nO6EoA7uPuFHf6sPYgsTntXoDSHfaFAGj28OgGmMiT0E8hSFeqFI83B4/Ptx2GJfMKEkqeZEgiOTo\na/Kiq3GqFIZLTyjB6+sO6uhqEx+71YITZS/ulKGZ+P15UwEAM0bl4KVV5dha2YT3NocTjkNc8sy6\n7FbFI57utCmhQftqtaG626uaIxSGsPwszNAukm9aOB6N7T68uLIcd769DVOGZGJ6SbZyr0Y5qVrk\nEEwdlgmrhWHhpEKs2FOLpbfNx7+/KVeuV+vWhkipieV9jtd8VSBsf22+oMbD4A0EdfU+ike7L4g8\n02cTxOAhocLAGBsN4BcARqmP55yf233Dik9zxKSS6Qo/gnCxFmU6Ud3iRarDhvFF6XGvlSYf/+CH\nu5VtYpGbn+7UuEirE7hLhcKgjhGNR6uSK2HTrWQAWg+D3o7NInFuYnEGsEXb6Kcz2rwBpDqtSJEF\njN4SeRqFIWEOQ3h/yETVKMGv/rsVH+84gmnDsjFlaKahcwmC6Dr6mrzoatQKwznThuD1dQdh0VGS\n1SgiH6+ioR1lciENKU9B8hK77FalClGa04bcNGnxH1l0Q+1xALSGJrU3QKCeh897ciXKH1qknCPK\nvIqy5lOHSiHAT15+HBxWCywWplR6AqSFvSi/Gkks2dDU7kMoxON+nsIp0eYNaMq/evwhZEQ/im70\net0JYrCjJyTpXQDPQ4pF7fVYkXkTtOZxtUV5XGE6Prp5LtaVN+A37+1AmtOKCUUZOH1KUUyvQGe1\nt8cXpeO9zVXKBJZQYbBZkOGyK5N7Z4jwnhSHFZkuu+6QJPVkb9TDMK5QUpx0Kwy+INIcNmWy9waM\n94owEpKkVh6MKgzbq5oNHU8QRLfRp+RFV6O2ZIv8uO7waRakSyvgWrcX/kAIU4Zk4qaF43D9Kxux\nv64V+2qBV1cfACB50kW1orJarfyJtPKrQ0vV+QaCyP4+nHPFWCSSqteXN2JEbqrSb0itEAijVord\nig5/EI3tPgzJSkEksTwMIQ60ePzITo3dx8gjj6PNG4BX9Rx6ZVM89JZ/JYjBjh6FwcM5/1u3j0Qn\nxVku3PfdKfjd+zsxvjDaezB5SCZG5qViW2Uzbj1tAoDoKhZqhFsZAIZlp+CsqcUAgFmj8/DK6gp8\nU1aPk8blJ0zIslktyE93otaduMmZsGik2K3ISrEndMUKPCb6KeyQF9MzRuaAMSn+Uw9t3gDSnDY4\n5ZAkvXkFaiUgURiT+li1l8VolSShFBkVHJxzfLz9CM44qlhX4yaCIBLSp+RFV+NUWdDFnBGZ9NwV\nZKZIovn+D3YBABZOKlTyyS785zeaY9OdNqXK0suyEiGINHR5/EFcdPxwXHT8cAzPSUUkkWKlxu1V\njDkN7X5wzvHNvjqcf9ywmOMW5WQnDcnApoomNLTFUxi0NxqWnYJDTR1wewLxFQZ5fm/zBZXXQPJl\nuMnDQBD60BP491fG2H2MsTmMsePEX7ePrBNOlqscPf79Y2LuT3XY8PDF0xULSHhijz72jxdMU14/\n/aPjcZYBxNoAACAASURBVO93pgAAFkwqBGOSNQUAjjRrJ96bTo0urzc024V2X1CTkBULtcIghU91\nrowAQGObT+mEDOj3MOw64saI3FTkpTuRm+pArY5a3YDsYXDaFBezx4SHIVH1J7VXQe1lMaowcEj3\n1NulVPDJjmrc8OpGPLV8n6HzCIKIS5+TF12JxsMQoyloV8EYU7zCgLQQH5OfFvPYvHSn0rQ0kpoI\nA1FDmw9ZKXbMHhM7aj+y4tBiVf7EitJa7K9rQ5sviNH5sUN9Lzx+OB44fyp+dcZEAFIloljVkiI9\nDGMKpGfrLDxXeDrafZEhScl6GEhhIAg96FEYpgG4BsBDkJryPArgke4cVCLGF2Wg/KFFShnVRAhr\nfywrstoTkKOadNOdNowtSFfCXSIVhltOm4Cvbl+g2TY0W7KkVDV1rgB0+INw2aWYz6JMF2pavAlL\nw4mSdiePy4fLbtGdw1Dr9iqVLPLTnYZyGNKdVsMeBnWJOncChUFtGWrxBGJu14NV/g6NCg5x/O4j\nVIubILqIPicvuhK1DFFCkrqp0MJnt83HaZMLAQCZKXYwxnDR8cOjjivJSdEoMj+aPVJ5rTZGfb6r\nGiEOTUO4SCI91w98uEvz/tRHlwOQKiLFwmphuHzWSBSqwp3USocgUmEYWyApIG2dhAcJj3WrN6iZ\n6814GNRySlSeIgiic/QoDBcDGMM5n885XyD/ndrdA+tKxIKSJYg2zY1whf7rpzPx5A8k49je2lal\npCsAWCwMw7K1rlZh5WmKMSGL8ngrSmvx7RG3kqA9JMsFXzCEGrcXNW6PpvqDmgb5mredMQE2i0W3\nh6Gu1Yv8DGlcBRnOTitXqGnzBpDqsCkueL2LcbWrOaGHQa0wdJj3MAghblRhELG3sb6vRDS3+7F4\nS7QgJIhBTr+XF4m4Z9FkLPnFycq8053BjMIoJmSPukfCsOwUWBiivAs/WzBWeb2vtk2Z396VF+6i\nXGosdIoVFMVImFaTo5KlsfIHI0OSxsrelHjyDwgbrdqjkp6NewjUzVKb2v2Y9ttPcefbWw1fhyAG\nE3oUhu0Asrt7IN2JMrEnmNkjS7YOy5YsN2W1rVhT1oCFk4s0+yOrOYj4zaaIkCTOOX7w7GpMuOcj\nXPHCWiwvrUWDXKJOdJveUdWMmQ98jh8+tyam90CUtMtJdcDC9OUwcM5R6/Yq8a1Dslwoq23VZU1p\niyirqteK88s3NyuvWxNUf9IoDOqQJINlVUU5Xb1hUwKR86C3ApSa61/ZgJte2xTleSKIQU6/lxeJ\nuHruGEwdlgWbtftyGATC6CJKgKu94J//cj7W33O64uFY/qtT8NHNczEkKwVr716IRy+eDgD4dIe0\nYD/c1IHZY3Jxgqq0eCSLjg43prts5ggUyKVX/6vqXwTE9zAI1HkIB1UN3wSRi/yj5Op28YxMgWBI\nCWEV1ZcEZvr2qM/fVNGIVm8Ar609aPg6BDGY0KMwZAPYzRj7hDG2WPx198C6EjGfm0ls/WDrYZz6\n6HLceOo4/OwUyXKzKKLbp5hUs2Xrz89e3ahZSO6rbcWaOE1sRsuxmz99aT0AYPPBJoy560OsK9ce\nLxSM3FQHbFaLLoXhi901cHsCilJit1nQ4gngzfWdT4ycc7T5gkh1WJW+FHryA+pbvaiSnzvFbk0Y\nkqTNYVCFJBkUAOJ77fAZO08oCkLwG2FjhZTbQhU2CEJDv5cXehE9frqz9UumS5IpwpudoWq25rJb\nNd6FkXlpylxfmOHC944dBqfNgtJqKeSyqqlDCZuNx4KJhSh/aBEyXTY4bRZ8dPNcvHndnCgloyCj\n80ZnVgvDUz88HudOH4q6Vp/GSLWvthWvRCRnC4/F5oqmmNdTex7avAGNAauzMKZ4tHvDCsOKPXVx\nj3t59QG8uuZA3P0EMZjQUyXpvm4fRTcjQpLiWYKW3jovbqjOO5sOAQBKclMxeUgmvrp9gSY+c93d\npylx/tkpDs15N5wyFr5ACJsPxi/7KbwSkfxvQ6Vmkm5q98NqYchw2WC1sIQhSStKa3HVvyQl5JSJ\nUina86YPxX/WVOClVQfw/RPiu6W9gRCCIY40pw02qwU2C9NVgai0Otw0qDDTqSg58YgbkpSg4Vsk\niofBoGtaxMRGNvzTgxBYbV5KmCMIFf1eXujF1o1VkgTXzh+DokwXvnv0UABAihzKatNh/LJapMTp\nrYeacdsbm1HV7MHwBAqDwBsIwWmTKv/lx+iCrGfOPGtqMSob27F4SxX+u74Sv357K96/8WRN8Y53\nfnYiOvxBpSzs+gONMa9VJxfrSHfa0O4LaCrwJfJkx0KtgKjllLrCIecc9767HQBw6QkjqJIeMejR\n0+l5OWOsCMAJ8qa1nPOa7h1W12JRFIbY+8cXZSgl6yIRYUrCslOSqy1Fp7a0uOwWTCqWOiofbJTc\nsH9YsjOq1B0Qtkqpy/Rp94cH6/b48cSyvdIzWBjSHFZNCA8gJZEdafYo4xNWJQBKWbtZY/Jwwylj\n8cyKsrgNdQCVG1x+ZqlJUHiCvvE/G1HT4sWbEW7qIy1Sk6DjRmRjYnEmFm8+1GmJ2bghSSZzGPR2\noxaIZ0pGEHQWc0sQg42BIC/00hMLSKfNiktOKFHep8nyKDJ8Nh4TijLwzqZDWCu/T+RhAKSFslAY\n1Lz385OwqaIRl6uSqhMxWq7sdPv/pPyA574q0+w/dkSO8vqSGcOx7NvamNepl4t1lOSmoryuTRO6\nZGYOjueVEF20AclIJ6hr9SbM2yCIgU5CMwFj7BIAayEls10CYA1j7KLuHlhXInINzHTkvHbuGAD6\nypgyxvDxLfMwfXiWErf54bbDUcfdefYkvH/jyZ1e68HzpyqvD0fEyZfkpqKiXrr+uvIGjLrjA/zp\no92Y++dl+GZfPQAopV0fu2S69tycVARDHLsOt8TNZRDdqoX3o9UbwEuryvG+nOS7ZOthrC2PDrGq\nc0uWmpd+OhNjC9LQ5guipSP+ZK72JKiPM1r1QnytXpNVkpIR+4kSuwliMDEQ5IVexPTZnSFJkQhF\nIZ6xJ5LIUqwiF6IzxLzsjLjH9JJs/Pik0YY8sieOzde8V+f33XH2JM2+kpxU1Lq9eGNdBTjnGvlU\nL3sBRuSmoMMvlS4Xno9YXl7OOV5auT9mifOtlU24+Cmpl0Wkh18T+qRSKurjlCP3BUJUYYkYNOj5\nn383gBM451dyzq8AMBPAvd07rK5FLCjNzOvCihQM6V/EluSm4qs9ddhT7VYmOgB49+cn4dGLp+O6\n+WNjloS977tSD4jsVLvGKh9Zgm5UXhrK69vAOccXuyXj3XNf7wcAbKmUYkArGtoxPCcFFxynLcOX\nIQuM8/+xCq+uqYg5/i0HpWscPVw7xmdWaK1DkSFHda1eOKwWZDhtilejqrkj5j2A+B4GowqDqLhh\n1sOgt+JULMzEzy4vrY2ytPUEnHM89NFu7KttTXwwQZij38sLvYTkhWJ3hiRFkiZ7fVN0KgzZcqjP\nJTOG49ITSrBgYmHCcyyM4U8XTlNCWZMh0hPypexB+Oulx+D6+WM1+0So76//tw0/fH4Nrnt5g7Kv\nUvbYT5AjAaqaOpCdaofLbok5B+8+4sZv39+JW9/YHLXv5tfD2wrlCAHhTW+NU947Vnhti8ePCfd8\nhOdl2UsQAx09CoMlwqVcr/O8PoNYDpqply0SYo2E1QvL9emPr9BsP6YkGxfGqKN959mTcP/3pirW\njsjOmCI594Jjpe6aI/NS4fYE0NDmQ1WTdkEuFuEHG9pREqOTZ4bKwvTB1mjvBwAcavKAMSmJTk1k\nHoPI7/AFQthf14anV5QhM8UGxhiGZkvu28jxaa/XNZ2eA7IyZ7Rxm1AwjN4PAOzy78KMO/zKF9Yq\nHVyN8umOI5j352WakDO91LX68NTyfbj0mdWm7k0QOuj38kIvwlo/e0z8qkNdjWikmaozJOmi44bj\nmrmjcfeiKXjowqMVhaMz7FYLvn/CCBw1VF+fo0Skx7jn6BhN6PLSwuG9K/fW49Od1crcvL+uDXlp\nDqVp66p99Uh32pDutMWswhSQjUgbVDkRQn6pC1UIg6Awjqnnc3VOXH1bdI7jRvnaH8SIIiCIgYie\nifxjueLFjxljPwbwAYCPkrkpY+xhxthuxthWxtg7jLEeKcOXHSfBuDPEhBIw4GGYWBw7HyIe180f\nix/OHqk034ksWdcmKww/mCUlKouF/GNLS/FeRFMcESJT0dCBEbmxFIbwZ2CX77e3phXLS8Oxo/Wt\nXuSmOqJidBvb/ZoKS39YshNLd1bjd+/vwIJHvgQQTk4TsbJX/Wt93GRktQKiTnrWk2CtJmDSw+CR\nP9dID44exGfTWUhSQ5uv00Z5ZiosvbWhEhUN7aaazYlQA729OAjCBANGXiQiP92JpbfOwx++NzXx\nwV2E+D+sN4chxWHF3YumxC2u0RNkyorV3y87Vtk2vjBaRmalRo9R5AJWNXkwLCcF00vCX32Gy4ZT\nJxVi6c5quCNy+oTXQWzfWNGIifd8jFX76jQGIvH66OHSdeN5umOFNtW0SPNoZP8mghioJFQYOOe/\nAvA0gKPlv2c457cned+lAKZyzo8GUArgziSv1ymiNN2/r5pp+FxRYUlPGVPBLadNAAClh4Fe0uQK\nGDNHay1WHfLkp272BiBmSJHbG0CHL4i6Vi9G5EUrDJkqD4OYTK99eT2ufGGtYqmpb/UhLz1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Xu59PmlnPS3Lykqr+aHnUWAUdv7lEcX8sS8jewvq6ZPRgIjetQFCPYKUfaO1xMe/MJ/\nd2l9bgmLNhXg82nu/WiNvx+GEEK0hRkjunJBMzkB7alHp3j6Zib6R7KDpZRi0R9O5Kvfn8i2h2YE\nXKQXV9Tym6kD2fzn6bxy1dhGgwUwRg62PTTDf8HscjrCChaC4XQY+/vO9XUj1/eeNcz/e/1z+frc\nErYVlPHY3A3+8rA79pcz8S9fMOjOT5vsHTRr5V5u/d+PTe5HrdfHq4u3s8wcffnSTDYXoZMRhjYW\n8QiD+W9CW48w2Of1R7rPbUEpxaUTsptdx8phiI9p/B/LtnbioM5898dTGHTnbE4YEPwd9N7pCSz8\n/YmAkRg288mvyS+pCsg1uOW0QVw9sY//NbdNH0yvtHjSEmN4ePY67pwxFI/byTOXjqGwrJqzR3fn\n+ldzeHXxdsD4bK6fZMwLHtYthRHdU1i5+yBP/+wYBndJ4rM1xhDxloIyfv3m9w16SzxiBheTBmb6\nm9IBXPVSDoO7JLFuXwndU+OYd/PkgH/Y7V2s94aRaC2EEKF60pageyTp0anuxtLS20/mx10HueyF\npRzT2yjacbhNtenRKZ6sZA/JHhfHZqfRJ8O40TW4SxInD+nMnz5eA8D1k/ryzMItTDGrNq3fV8L4\nvunc/eFq/7Z+/98VHJudxjUn9MXn0/5y+VZFqHvOGobH3fDc/3bOTu56f5X/8eF4fdNRSMDQhny6\nFZKew6iSFA77bjo76P9QVsCQ0EzyWNvvg5O5N00KSFILRbfUOJaaZWOVUizZsp8DZdWcPiLwblRG\nYiw3TjWmT106vq6C1+SBdWX0hnZN8c8V/eGPpxJnC6SevPhovtqUz2nDslBK8dfzRpKdkcDL32zj\n01V7yUiM4Y1rx5MQ6+KnT3/L7qIKnA5FdnoCkwdl8sjcDVgx7DqzUd7uogrGPjA3YJ6tlSMBsH5f\nsf/3V7/dxnnH9CA+xviufD6Nw6GorDF6iCzfXsj6fSVcNqE3Ow6U+4e331y6g1e+3c4Hvzy+2cT8\nnQfKiY9xNlmlKhL7Dlby1rIdnDGyqz9HRAghDqXU+BgmDcxk/f3TmhxROBy4zXwIrY0qTgC/mNKP\nbql150j7qDXAp6v2+XMtrJtbVu7D28t2kl9aRWZiLMlxdVO+tu8vZ19xJUO7Jgd0zX712+0B2167\nt5iH56zjt1MHNuhp0RYKy6q5/5O1RnO76YMDgr6ORgKGNtQaOQyuQxUw2HZTddCJalZw1V4jDJZI\nLyLtoz3jbNOQQpVmdpM+bVhWQLAA0Cs9nkvS6wINq4ze2D5p/ot2K5n5mhP6cO9Ha4iPcZo5EKls\nemA6Ow+U88bSHZw1qht/mb2OrzYWBAQL9V31Ul2Pi7s+WM29H63hZ+N7c3z/DH73nxX0TItjV2EF\nAzonsswsI7uvuJKnvtxMRmIMTofyl819bfF2rrKNuNQ37bGFlFV7G9RK9/k0l72wlKKKal65ahxp\nQUwbq+/yF5ayPreEx+ZuZN7Nk8POmRFCiEgdzsGCxTqXdEuNY/Ofp/vP1bdPH8wxvTsF/Bt66tAs\n/4h3jNPBh786nol/me8veb4xz6gYWL+E+GmP1XWhvm/mMD5ZuZeRPVL9N7QArp7Yh+cXbeXJ+ZuZ\nMqgzo3um4nI6WLevmGSPOyCIaS1vLN3B/77bBRjTrubeNLnV3+NQ6aCXhh2DL4LGbRbHoSqratvT\njjrCYH1GHeEf0EPhwmN7cs+ZQ/nHRaENz3vczoDKR8O6GXd/Umx3c5wORXZGArdPH8Lw7im8evU4\n7ptpzE999eqxrLj7VP+6l4xrPPm71qd56ZttXPtKDgcrali1u5ii8hp/sADw1JdGI8GC0uqAhnwv\nf2vU816/r4QPftjd4P+PMnPaVH5JFRtzS/wlazfmlbJoUwGrdhfz+//+yMbcEvKKK9l3sJL1thNL\nc+w9LXK21XUfr/H6GltdCCGEyT5t6rpJ/Timdxqp8TEc18+4OXb95L5kp8dz6tAsPrlhIkopPv71\nRL4yp+0G464PVrN4ywGeXbgFgOkjuvDZbycxylZe//ynv+W4h75g7d5ipj32Fcc99AXLtx8I2E5V\nrZfzn/6G+z5eQ2WNl9ziSt7J2cnMfy5i7d5iZq/a26CxXX3LbOeITXmlbCswKhQeKKumssbb1MsO\nS+0ywqCUug+YCfiAPOAKrfWe9tiXtqRpvrlLMPxJz4dwhKHDzvEzd/tw6yHRXtxOB1cc3/Rd+GAd\nm92J6yb1DUi6bsylE7KZ0C/dP8IyZVAmX67P58rj+3DJuN68k7OTU4dmce9Ha7h35jDW7S3m4Tnr\nKav20jMtjsKyGn9zuPgYJ9dM7MOTX272/+3P+c0kvt5UwMGKGh6ftzGgYsiNb/3Ae/93HE8v2MyK\nnXU9IuxTol6+aixvLzMqcvRMi2Pu2lzmrq0r7wew5c/Tm0z6L6uqZcWuIips/8jf8+EaNuWV8t/l\nuygsr+H5y8dw8hCjFK3Xpw+7OcUdUbScL4SIZk9fegzz1+VxTO80vrwlMDjolBATUERk2R1TcTkU\no+/7vMXtOpQxBVcp1aACZF5JFac//pX/8aXPL2XNn6ZRWlXL8u2F/OK15ZRXe1m2rZDnF20NeK39\ndb+ZOoDfTA1s7GrZcaCc04d34fwxPbjqpRw+X5PLtv1lvL5kB30yEpj/uyktHsPhor2mJD2stb4L\nQCl1A/BH4OfttC9tRrdCDoM/6fkQ5jA4Ouj19iVje1NcUcs0szmNaB1KKW6fPiSode3TsZ7+2TEs\n23bAXw72HrNChlU6b3zfdK44vg+zV+1jXJ80HA5FbnFlQNna30wdyIvfbKOwrJpBXZIY1CWJ73cU\n8ritJKzlnH990+y+Xf7CUsBoSvS/XxzHxL/Mb3B3qO/ts0iKdTFlcGeKyqvpl5nI/PV53DdzOI98\nvsFfPSrnzqk88vkG3liyI6Cu+v2frGV833QufX4J3+0o4oQBGTxz6TFsKyhnqFmlSoQsKs4XQkSz\nZI+bmUd1b3adBbdMocbr8+covHjFsWQmxTK8ewr7S6twORxUe32c/eTX/ilM//n5cf4bt/WrC6bE\nuQOKdJRXe9laUMbPX13O+tzgRpzBqGxYWePjyuOzSfa48bgdKKUorapl54Fypg7JYsrAzsQ4Hbyx\ndAdbzVGGrQVl1Hh9HaaXUbsEDFrrYtvDBIyb8UecVqiqWjfCEOVVkoLRKz2eB88d0d67IUwet9Pf\n16E59gDPPu0JjBK/V9fLVRjdqxOPXjCK375t9KB49eqxbMor5e+fbaC0qpZzRndnS34pj104mh0H\nyslOj2fyw18CMKpHCg+fP4rOSR7OHd2dt5btpG9GAjEuh3+ua0lVLR+tMG5gf7WxAIDLzGAD4NoT\n+pgN+4YzsHMiJZW1TOiXzvc7inhg1lqG3T3Hv+5XGwu4/tXlfLWxgNeuHsfEEKpnCUO0nC+EEM2r\n39vhxMGd/b/bC1x8fetJaK0pqaoNaOLqcjrYcP/pDLzzUwDevn480x4zRgrumzmMuz5YzYlmpaZg\nxLmd/hHnpxds5ukFxhTaEd1TuP/s4cxbl0eNVzNteBccDkX3TnH+YMGy40B5h8mDU7qtG4I19cZK\nPQBcBhwETtRa5zex3nXAdebD4cCqxtaLEhlAQXvvRDuL9s9Ajj+6jx9a/gx6a61bjtQ6EDlfhCXa\n/1+J9uMH+Qzk+FvxXNFmAYNSai7Q2NyQO7TWH9jWuw3waK3vDmKbOVrrMa24mx1KtB8/yGcgxx/d\nxw9H5mcg54vWJ8cf3ccP8hnI8bfu8bfZlCSt9dQgV30dmAW0eAIQQghx5JHzhRBCHN7aJdNCKTXA\n9nAmsK499kMIIcThTc4XQgjR/tqrStJDSqlBGGXythN8xYtn226XOoRoP36Qz0COX0TbZyDni/DI\n8Yto/wzk+FtRuyU9CyGEEEIIIQ5/HaP4qxBCCCGEEKJdSMAghBBCCCGEaFKHCBiUUtOUUuuVUpuU\nUre29/60FaVUT6XUfKXUGqXUaqXUjebyNKXU50qpjeZ/O5nLlVLqCfNz+VEpdXT7HkHrUEo5lVLf\nK6U+Nh/3UUotMY/zbaVUjLk81ny8yXw+uz33uzUopVKVUv9VSq1TSq1VSk2Iwu//t+bf/yql1JtK\nKc+R/DeglHpBKZWnlFplWxbyd66Uutxcf6NS6vL2OJbDQTScL+RcYYjmcwXI+SLazhXQvueLwz5g\nUEo5gSeB04GhwEVKqaHtu1dtpha4WWs9FBgP/NI81luBeVrrAcA88zEYn8kA8+c64KlDv8tt4kZg\nre3xX4BHtdb9gULganP51UChufxRc72O7nFgttZ6MDAK43OImu9fKdUduAEYo7UeDjiBCzmy/wZe\nAqbVWxbSd66USsMoNToOGAvcbZ00okkUnS/kXGGI5nMFRPH5IkrPFdCe5wut9WH9A0wA5tge3wbc\n1t77dYiO/QPgFGA90NVc1hVYb/7+DHCRbX3/eh31B+hh/sGfBHwMKIxOha76fw/AHGCC+bvLXE+1\n9zFEcOwpwNb6xxBl3393YCeQZn6nHwOnHel/A0A2sCrc7xy4CHjGtjxgvWj5idbzhZwroutcYR5H\nVJ8vovVcYe5/u5wvDvsRBur+KCy7zGVHNHO4bDSwBMjSWu81n9oHZJm/H4mfzWPA7zFKKAKkA0Va\n61rzsf0Y/cdvPn/QXL+j6gPkAy+aw+zPKaUSiKLvX2u9G/gbsAPYi/GdLid6/gYsoX7nR9zfQpii\n7nOQc0VUnisgys8Xcq4IcEjOFx0hYIg6SqlE4H/Ab7TWxfbntBEOHpG1cJVSZwB5Wuvl7b0v7cQF\nHA08pbUeDZRRN7QIHNnfP4A5LDoT42TYDUig4fBrVDnSv3MRPjlXRO25AqL8fCHnisa15XfeEQKG\n3UBP2+Me5rIjklLKjXECeF1r/a65OFcp1dV8viuQZy4/0j6b44GzlFLbgLcwhpofB1KVUlaTQfsx\n+o/ffD4F2H8od7iV7QJ2aa2XmI//i3FCiJbvH2AqsFVrna+1rgHexfi7iJa/AUuo3/mR+LcQjqj5\nHORcEdXnCpDzhZwr6hyS80VHCBiWAQPMzPcYjKSWD9t5n9qEUkoBzwNrtdaP2J76ELCy2C/HmK9q\nLb/MzIQfDxy0DUt1OFrr27TWPbTW2Rjf8xda60uA+cBPzNXqH7/1ufzEXL/D3k3RWu8Ddiqjqy3A\nycAaouT7N+0Axiul4s3/H6zPICr+BmxC/c7nAKcqpTqZd95ONZdFm6g4X8i5IrrPFSDnC+RcYXdo\nzhftnbwRZILHdGADsBm4o733pw2PcyLGUNKPwA/mz3SMeXbzgI3AXCDNXF9hVATZDKzEqBbQ7sfR\nSp/FFOBj8/e+wFJgE/AfINZc7jEfbzKf79ve+90Kx30UkGP+DbwPdIq27x+4F1gHrAJeBWKP5L8B\n4E2MObg1GHcNrw7nOweuMj+HTcCV7X1c7fh5HvHnCzlXBHwWUXmuMI8rqs8X0XauMI+j3c4Xynyh\nEEIIIYQQQjTQEaYkCSGEEEIIIdqJBAxCCCGEEEKIJknAIIQQQgghhGiSBAxCCCGEEEKIJknAIIQQ\nQgghhGiSBAxCCCGEEEKIJrlaXuXwkZGRobOzs9t7N4QQ4rC1fPnyAq11ZnvvhxBCiCNHhwoYsrOz\nycnJae/dEEKIw5ZSant774MQQogji0xJEkIIIYQQQjRJAgYhhBBCCCFEkyRgEEIIIYQQQjSpXQMG\npdQLSqk8pdSq9twPIYQQQgghROPae4ThJWBaO++DEEIIIYQQogntGjBorRcCB9pzH4QQQgghhBBN\na+8RhhYppa5TSuUopXLy8/PD2obWmreW7mBPUUUr750QQgghhBBHtsM+YNBaP6u1HqO1HpOZGV4v\noq0FZdz67kpufXdlK++dEEIIIYQQR7bDPmBoDWv3lgDgdqh23hMhhBBCCCE6lqgIGMqrawGIj+1Q\nja2FEEIIIYRod+1dVvVN4FtgkFJql1Lq6rZ4H69PA+Az/yuEEEIIIYQITrvectdaX3Qo3qfWDBS8\nEjAIIYQQQggRkqiYkuQfYdASMAghhBBCCBEKCRiEEEIIIYQQTYqqgEGmJAkhhBBCCBGaqAgY/DkM\nEi8IIYQQQggRkqgIGLw+HyBVkoQQQgghhAhVVAQMUiVJCCGEEEKI8ERFwGAFCrXmSIMQQgghhBAi\nOFERMFgjDNW1EjAIIYQQQggRiqgIGKwRhioJGIQQQgghhAhJVAQMtWZ5pGqvBAxCCCGEEEKEIqSA\nQSl1VlvtSFuyqiTJlCQhhBBCCCFC42rqCaXUufUXAU8qpVwAWut323LHWpPkMAghhBBCCBGeJgMG\n4G1gDpCHESwAJABnAhroMAGDTxsBQ02YU5Kqa31U1XpJ8rhbc7eEEEIIIYQ47DU3Jek4IA5YprW+\nUmt9JVBg/n7Vodm91uHPYQhzhOGql5Yx4p7PWnOXhBBCCCGE6BCaDBi01suAU4AYpdR8pdRYjJGF\nDseqkhRu0vOiTQUB2xFCCCGEECJaNJv0rLX2aa0fBy4Bfndodqn1WTkMNV6NL4KL/v2lVa21S0II\nIYQQQnQIQVVJ0lrv0Vr/VGvdt613qC3YRwbCGWVwO40UjrwSCRiEEEIIIUR0adc+DEqpaUqp9Uqp\nTUqpW9vqfWp9dUFCeAGD8TFV1HhbbZ+EEEIIIYToCNotYFBKOYEngdOBocBFSqmhbfFeF47txbHZ\nnQCoCSPx2SyyFHaVJSGEEEIIITqqFgMGpdTxwSwLw1hgk9Z6i9a6GngLmNkK223gxEGdOe/oHkB4\nIwzazPW2qi0JIYQQQggRLYIZYfhHkMtC1R3YaXu8y1wWQCl1nVIqRymVk5+fH/abxbiMQw2ntKo1\nwiBVkoQQQgghRLRprtPzBIxeDJlKqZtsTyUDzrbeMYvW+lngWYAxY8aEfcUeUcBg/lemJAkhhBBC\niGjTXKfnGCDRXCfJtrwY+EkrvPduoKftcQ9zWZuwEperwmneZkYMtTLCIIQQQgghokyTAYPWegGw\nQCn1ktZ6exu89zJggFKqD0agcCFwcRu8D2AbYYgkh0ECBiGEEEIIEWWaG2GwxCqlngWy7etrrU+K\n5I211rVKqV8BczCmOL2gtV4dyTabE+sMf0qSpVamJAkhhBBCiCgTTMDwH+Bp4DmgVRsRaK1nAbNa\nc5tNsUYYwslDsJKew62StH1/GXExTjonecJ6faSsZG2nQ7XL+wshhBBCiI4rmIChVmv9VJvvSRuL\nJOnZpyObkjT54S8B2PbQjLBeH6npj39FcpyL//z8uHZ5fyGEEEII0XEFEzB8pJT6P+A9oMpaqLU+\n0GZ71QYiCRgs9o7RHYXWmvW5Je29G0IIIYQQooMKJmC43PzvLbZlGujb+rvTdmKckSQ9G2oLFSmf\nAAAgAElEQVQibNzm82kch3haUDjHK4QQQgghhKXFgEFr3edQ7Ehbs0YYwimrWte4LbKL72qvD4/j\nkLWwACIPcoQQQgghRHRrsdOzUipeKXWnWSkJpdQApdQZbb9rrcsaYaiqCT9vO9KL73Dv9i/ckM/C\nDeF1uY5kCpZl3tpc/vTRmoi3I4QQQgghOp4WAwbgRaAao+szGD0T7m+zPWojyXFuPG4HizYVhPQ6\nreuChHCrJFlqwrx4v+yFpVz2wtLw3rMVpiRd/XIOL3y9VcrKCiGEEEJEoWAChn5a678CNQBa63Kg\nw9Xn9LidjOuTzp6iypBeZ6+MFM6UJJ/t9e2RT2AfYbAHP+HYVxzaZyeEEEIIITq+YAKGaqVUHGbu\nr1KqH7ZqSR1JSpybksqakF5jv0NfE0ZZVXuQEM70oEjv6tvfP9wpVZ3i3QDsPSgBgxBCCCFEtAmm\nStLdwGygp1LqdeB44Iq23Km2kuRxUVJZG9Jr7BfZ4Vy8B16wh/764hD3t8H724KUaq/Pn/wdCqfD\nyv+QKUlCCCGEENEmmCpJnyulvgPGY0xFulFrHVoiQCs5WFFDZY0Xjzu8SkNJHncYAUPdRXI4jdvs\nF+zhVGiKeIShtt4IR2z422qNfAghhBBCCNGxBHu72QMUAsXAUKXUpLbbpabtOFDO3z9bH/brkzwu\nqr0+KkOolBQQMIQxpafBBXuIwu0ubamJcEqUnfR0EEIIIYSIPi2OMCil/gJcAKwGrCtGDSxsw/1q\n0pq9xS2uU1njpbiihs7JnoDlGYkxANz8zgoeveCooKbn2IOEcDo920cVwskhiLQyU6QBS2vuixBC\nCCGE6HiCyWE4GxiktT4sEp3X7S1Ba41STRdquvyFpSzZeoBtD83g1v/9yHc7Cvnst5PpnZ4AwCcr\n9xLrcvDIBUe1+H7V7TzCUGMLUlo67kbf3z7C4A2/BwXIlCQhhBBCiGgUTMCwBXBzmFRG2l9WzcGK\nGlLjY5pcZ8nWA/7f31q20//7kC7J/t8XbgyuEVpr5jCEc8Hutb1nVa0v5PwN+/tHOr1JpiQJIYQQ\nQkSfYAKGcuAHpdQ8bEGD1vqGNturJrjNbs27CiuaDRiakhLv5qxR3fhwxR6SPe6gXmMfVQjnDrs9\nSKiuDf2C3f6e4SR8B1Z5ar18CCGEEEIIER2CCRg+NH/aXe+0eMqA3UUVDO+eEtY2/vqTkWwpKKWo\nPLh+DPa76t4w7tBX1StrGir7e4aTA2EPWCK94A+3U7UQQgghhOi4Wsz61Vq/DLwJLDd/3jCXHXJO\nhzF/v7ii4cX+vLW5XPr8koAypL5GLvCtjs8HyqqDek9774GwLtgjzWGIMOm6ptbeqTrSEQZJehZC\nCCGEiDYtBgxKqSnARuBJ4F/AhkjLqiqlzldKrVZK+ZRSY4J9nRUwNNZL4eqXc/hqYwFFFTX87tSB\nQGDCsF1aQgzl1d6gyqseNIMTt1OFdcFeHVAlKbI+DOFMKapqhU7PFslhEEIIIYSIPsH0Yfg7cKrW\nerLWehJwGvBohO+7CjiXEEuz+kcYKpueTlRR7fV3Jj7pbwv8y+2jDWkJRv5DMKMMheXGOpmJsWHd\noa+OsA9C4JSkyAKWcAIegw77/YUQQgghRMcWTMDg1lr7u6VprTdgVE0Km9Z6rX2boUiMdVFc0XS3\n5ooaL2ZuNLuLKvzL7RfuYQUMSbERX7CHV1bVPiUpsqTpcKskWa9rz4BhzZ5i7nx/ZaPTzEKxtaAs\n4n4UQgghhBDRJJiAIUcp9ZxSaor5828gp613zKKUuk4plaOUysnPzyfZ42p2hKG82oujkV4F9ovd\ndDNgWBtEE7ii8ho8bgeJHlfkfRjCSnqObEpTwAhDmFOSrGTn9sxh+O3bP/Da4h1szi8Nextr9hRz\n4t++5PlFW1txz4QQQgghjmzBBAy/ANYAN5g/a8xlzVJKzVVKrWrkZ2YoO6i1flZrPUZrPSYzM5Mk\nj5uSFqckNQwY7BfOfTMTAbjlvz+2+P5VZilTp8MRXh+GCKckRVoWNWCEIcwRAmsf2vPOfKcEY1Br\n78HKsLexaJPRe2OPbeRJCCGEEEI0r8WyqlrrKqXUP4F5gA9Yr7VucS6P1npqK+xfA8lxDack2S+K\nn16wmarahsnM9ackjeuTxpKtB1rsnlzr0ziVwu2IPOk50rKqob5/ZY2XimpbWdUwAp6/zVnv3+9w\npyRprfliXR6TBmb6e2mEqnOSB4C8kvD7B2rz8D3u8PZBCCGEECIatRgwKKVmAE8DmwEF9FFKXa+1\n/rStd64xyR43+4oD7zKXV9VdFC/Y0HgH55p6TdMmDcxkydYDLXZP9mmNw6FwOVV4VYrMgMHlUGH1\nMaiJoMrR4LtmBzz2hhHw/HP+pkb3JRSr9xRz9cs5XHhsTx46b2RY23CZo0aNBYPBkqKwQgghhBCh\nC7ZK0ola6yla68nAiURYJUkpdY5SahcwAfhEKTUn2NcmeVwNyqrmlQQGEL3T4xu8zt7ADCDWZRx6\nVQsX8V6fxuVQuMKcklReXYvToUjyuMIaYagNc0pSaVXDxPBIcxDCfb0VaMxauTei94fImsdZozVa\nIgchhBBCiKAF0+m5RGu9yfZ4C1ASyZtqrd8D3gvntclxbn/Ss9aam99Zwbvf7w5Yp39mItv3lwMw\nZVAmOw+UN5h2ZI0qVNV4Ia7pok+1Po1DWSMMoV+sllbWkhjrIsbliLysaggjBNv3l/l/V8q4SA43\n6dkSbh8G67gjulBXke2DfT8iLLQkhBBCCBFVggkYcpRSs4B3MGZ1nA8sU0qdC6C1frcN96+BZI+b\n4ooatNYUV9Y2CBYAuqXG+X8/NjuNl64c22CdYEYYSipr8Po0TociPsbV6F37lpRU1pLkcaFUeEnD\n9gtkbwgX/PaSsX0zEticXxbylCRd7wo/3Lv71jH4WuHWfiSjJNZIR/j9KIQQQgghok8wU5I8QC4w\nGZgC5ANxwJnAGW22Z01I8rjwaSir9lJQWpcAO7JHiv/3rqke/+9NdXO2Rhje+343m/IalupcvGU/\nI+75jPnr8nA5FFnJsRSUVod80V9SZY4wOB0BXZeDVRVm47UyW17HCQMygdAvtutPwQo3h6E17+y3\nNIWsOdb+Sx8GIYQQQojgBVMl6cpDsSPBSjanD+0qLOcPZlnU168Zx3H90rn9vVW8//1uuqbUBQz2\nKkF21gjDI59v4IMfdjPv5ikBz3/wgzFyUVxZS+dkD12SjW3mFlfSM61hjkRTSs0RhtIqb1gXqvaA\nJ5QL/oqautGQ+BgjOAqnypJduI3frIt8HUHasTWdKpLmcYdDeVghhBBCiI6mxREGpVQfpdQjSql3\nlVIfWj+HYucak+wxAoafv7qcFbsOAtArLR6lFA+eO4If7j6FWJdxgXxUz1QGd01udDuxtspIucUN\nS3WW2u7QuxyKod2M7cxbmxvS/pZWRZbD0BojDFYp01BHGOrfzQ/3Qrs1chhaY3TAOp5wRnqEEEII\nIaJVMDkM7wPPAx9h9GFoV1YZ/21mUnPXFE/AHf9Yl9Pf6fmBc4YzrFtKg20AeFx1sVL93IQ9RRV8\ntGKP/7FDKUb2SKVTvJuN5vSl2979ka4pcdxw8oBm97e0qpbsjATKqr1hlQStCnOEoby67pis6VcP\nz1nP5cdlkxgbzNfecIQh0ilJrREwRDbCYG5DRhiEEEIIIYIWzJVjpdb6iTbfkyAd3auT//dRPVN5\n/vIxDdaxavY3d0M+tl7vBSu5GYy8BoCLxvbki3V5/uVZyR5yiyspqazhzaU7AVoMGErMKklFLgdl\nYSRN2+/yhzJ/3z7CYE1JAli9+yDj+qaH/N4QfsKxFShFMiWpNaYT+UcpZIRBCCGEECJowSQ9P66U\nulspNUEpdbT10+Z71oTOyR5+PrkfACcN6kxGYmyDdawLfG8zt7SHdUvmzhlD/I9/2FlEaVUtPp9m\nT1EFneLdPHjuSAZmJQUEDFsKyigqrwl6f0urakjyGEnP4VyoVtZ4STAv+Cuqgw84rBGGG08ewEVj\ne/mXhxJ02EcYBndJCvvuflVrTklqhREGyWEQQgghhAheMAHDCOBa4CGMJm5/B/7WljvVkon9MwCY\n0K/xO+UOK2BoZojB7XQEdHh+97tdDL97Ds8s3EJucSVZZpKzT9eNPJw5qhtb8st45dttQe1njddH\nZY3Pn8NQVRNeDkNqfAwA5U0kcDemrNpLRmIMvz1lIDG26Vf7yxrmazTlYIURGL157Xj6d04Mvw9D\nK5RVrZuSFP42qmsl6VkIIYQQIlTBTEk6H+irta5ucc1DZOKADFbecypJnsYbrjmVFTA0vx3rDvqg\nrCReX7IDMAKH+FgXmUmx5jbqAobzju7O84u28t73exrfYD3WFKTEWBexrvBHGOJjnMS5nSEFDBXV\nXuJjGn69+0uD/xo35xvN31Lj3cQ4HeGPMNTUlVXVWjdooheMav+UpNDzQCytkQchhBBCCBFtghlh\nWAWktvWOhKqpYAFsU5JaKANqTZW5cWpdHkJxZQ0V1bUkmBfbXp/2ByBKKY7N7hTQ/6G597DWS4lz\nh10lqbLGi8ftJD7GGVIORFlVbUDuwpLbTwZCG6W46/1VAHSKjyEuxhmQFxEKe6AU7giBlajcGo3b\nIunlIIQQQggRbYIJGFKBdUqpOYdDWdVgBB0w1HhRCk4f3sW/LLe4ig25pf6LbfsIA8CgLkkB2/hh\nZyF5xZWNbn/FTqPs6/DuKcaUpDAuVPcUVZKVHEt8bGgjDOXV3oCAISvZQ6zLQVmQeRD2Ls+p8W7S\nE2IoLK9u8TNtjD1QqgxzhKA18g8k6VkIIYQQInTBTEm6u833opVZpVebS3oGqKz1EetyNDpFxmMF\nDJqAgGFwvYDhvKe+BeC20wdzvZmMbdlnBhK90+PxuJyUV9eGNCXH59Ns3V/G5EGZ7CqsCG2Eobq2\nQfnU+Bgn5UGOEhTaErs9bifpibFoDYXl1Y0mmjfHXk62ssbr76URita42K9uheZvQgghhBDRpsUR\nBq31AmAdkGT+rDWXHbZ6psVz39nD6d85sdn1rOk+AHfOGMK1J/TBig3i3NYIgy8gYOiT0fg23/1u\nt7m+5sFZa/n1m99TWFaNy6GIdTkY2CWJyhqfv49DMArLq6mu9dEtxUOyx03O9kJ2FZYH9dryqsAR\nBoD4GFfQIwy5ZrDz5MVGQay0BCPxevaqfcHuvp99VCCcxG9opbKqtVIlSQghhBAiVMF0ev4psBQj\n+fmnwBKl1E/aesci0TnJw6Xje9M9Na7Z9W6fPoQvbp4CwDUn9OWOGUP9icJ1U5LwN4ID8Lgb/8gS\nYp2s31fCG0t38MzCLXy0Yg/fbtlPfIwTpRRDzY7TW/KDDxgOlBkJymmJsXRJ8XCgrJpJf53f6Lpe\nn+bJ+ZvYd9C40C+rrm2Q9Ox0KN79bjerdh9s8b0Ly4337pRgjAZ0STGqRt35/ioWbMgP+higXsAQ\n4ZSk1mjcJgGDEEIIIUTwgslhuAM4Vmt9udb6MmAscFfb7tah4XE7/XfOLS6n8j8HxgiDyzbCYB9t\nuOW0QcwY2ZVkj4vvdhRx2mML2V5Q5n9+9Z5iEsxpQVbVpfwQqhT5A4b4GP9+NpVC8OX6PB6es56/\nf7YerTX5JVX+97TsOGCMTjyzcEuL7231mkiNM963R6e64OtNs6JUsOzTiCrDHmFoxRwGCRiEEEII\nIYIWTMDg0Frn2R7vD/J1HZJVEamppGe3o+7QJw3I5MmLj6ZPRoJ/mXVRbrECBuuCv6Ak+D4I/oAh\nIYbpI7oCEONs/KPfagYqShmvqzKnMtmN7JECQJfklnMQrIDBGmHISqrb1sKN+dSGcKffPg3J3gwu\nFDWtkH9Q3QqVloQQQgghok0wF/6zzQpJVyilrgA+AT5t291qP6peDoOvXtKzwx48uIzfXbaL+M/W\n5Po7MwP+391OB+kJMf4pQ8HYbE5f6pEWx9g+aVw9sY9/BKQ+q4JSWbWXveZ7dEkJnJL1+jXjiI9x\n+huyNcc/JclsGudwKBb94UQeOGc45dVedhZWBH0c9hGGcEuaVrfC6IC/l4PXF1AFSgghhBBCNK3F\nKkla61uUUucCE81Fz2qt34vkTZVSDwNnAtXAZuBKrXVRJNtsLVYFozjzQr+2XtKzncscbXDXu4gv\ns5U/tecRDO2WzMog8gcsa/eWkJ0e768qlJ4YQ3m1l/JG8hOsgOGTH/fSKd5Y3/qvJcnjpnd6gn/k\nojlF5dV43IHdsHt0iqebGYQUlVcDCU28OlBVrdHturSqNqRKTxatta1KUuR9GIzt+Ih1OZtZWwgh\nhBBCQDMjDEqp/kqp4wG01u9qrW/SWt8E5Cul+jX1uiB9DgzXWo8ENgC3Rbi9VlO/SpKvXtKznTU9\nyF1vmtCFx/YEYFyfNH59cn//8qN6prJmbzHfbCoIal92Fpb7k40BMhKMqUSNdWuusFU/em2xkWPQ\nWHO7Lsmx7C5qeZSjqLzGn79gl2oGIUXlLY9SWKpqfWQkGtsqqQw9YPD6NNaAQGt0ejZ+lxEGIYQQ\nQohgNDcl6TGguJHlB83nwqa1/kxrbV05LgZ6RLK91uSoN8KQ5HGR5Gl8IMaaHmQFDsf3T2fF3ady\n/9nDASNgOK5fhn/9Y3p3AuDi55a0OCXmhje/58ddBwOSstPNi+79jYwQWKMa980cxt1nDvXve33d\nO8Wxdm8xm8zyrs8s2MzVLy1rsF5eSZU/OLBLNacoFVVUs3LXQe7+YBW+JjKxN+SWcNf7qyivqvX3\nbiiuDD7QsNgv7iPt9Gx9nsFMy2puO9LLQQghhBDRormAIUtrvbL+QnNZdivuw1U0kxOhlLpOKZWj\nlMrJzw+tnGc4HPWSnmf/ZhL3nDWs0XWtgMEaYfC4nKTEuXE5HTgdqkHjuMkDM/nZ+F6AUZ50Y26J\nv8zo0ws288EPu/H5NJU1Xv8FtnWBDpBuLstvJHG6otpLv8wELp2Q7e/GnBzX8IJ/8sDOAHy4Yg8A\nD366jnnr8gI6OL/73S4WbMhv0McBINXc5v7Saq59JYeXv93OnoON5zP8edZaXl28nY15pf7E8OKK\n0EcYrPwFj9sRduM2Y1qT9pfabao7dzBOe3Qho//0edivF0IIIYToSJoLGFKbea75BgeAUmquUmpV\nIz8zbevcAdQCrze1Ha31s1rrMVrrMZmZmS29bcSs2Uf2uftNsebAu12OBq9xKkX9a1ulFHfOGEr3\n1DheX7KDUx5dyIOz1lHj9fHQp+u48a0fuPej1Qy+azYJsca27OkTvdLiAdhWUIbPp9lpq8hUXl3r\nr8hUbE77qd/pGeCUoVn0yUhgY25JwMiAvT/ErJVGc7Zzj2448JMa76ZriofH5m70d7Leaisla2fv\n6JydkUBCkAnX9Vl38xNjXXh9OqQKTXXbMI7VKg+bWxx8tar6thSUURpGLoYQQgghREfUXMCQo5S6\ntv5CpdQ1wPKWNqy1nqq1Ht7Izwfmdq4AzgAu0YdRyRprhCG4gCEw6TnW1tTN4QBfI4flcTuZe9Nk\n/+OXvtnGv7+q64vw8rfbgbqL/fNsF+1pCTFkJMayIbeEBz9dywl/nc/KXUYSdUllLQlmInTPTnGc\nMjSryWTt9IQYPl21j5zthf5ld7y/CjBGKr7eVMCkgZn8bHzvBq9VSjG2T1rABfPHK/by9aaCBtOs\nrEpLAF1TPCTHuf1TkiprvFz90rIW8zmWbj3A+n0lAAzvbpSF3RtCpSnLXnMUZIDZ/TuvJPwRBiGE\nEEKIaNJclaTfAO8ppS6hLkAYA8QA50TypkqpacDvgcla6/KW1j+UrGvsxi+1A1kBg5XD0HCEofE4\nKC7Gye+nDeKvs9cD+P9r1zczkc1/nt7gon9gViIb8krZZY4ufPzjHv733S72HqxkTLaRI3H+mJ6c\nP6Znk/u93XztT5/51r+s2Lzzf6C8mooaL6cM6dzk67PTA6sjvZ2zk7dzdvKnmcO4bEI2ACWVNXy1\nsS4YSEuIISXOTXFFDe/k7OTJ+ZvYvr8cn9Yc1z+DxpRX1wbs47RhXfhyfT6b8kvpaY62BOvBWetw\nOhQ/OaYnT365mbwwRxjsnap9Ph1QZlcIIYQQ4kjU5AiD1jpXa30ccC+wzfy5V2s9QWu9L8L3/SeQ\nBHyulPpBKfV0hNtrNbeePpj4GCddU1qcdeUvwWrlMJx/TN1ogMPRdMAA8H9T+gc8rl+ataSyptER\ngoFZSazYWeRPfH5m4RZe+mYbu4sqyEr2NFi/Mb3qXWxPHZLFrsIKfD5NldlYrbH8B8tx/dIbXf7Z\n6lz/79v3B8aBqfExJHvcfLejiN//90f/801VoPp6UwGPz93ofzwoK4kTBhpT0kLpZQFGovXs1fu4\ndHxveqXHk5kYS26YOQz2TtUlR+C0pHX7ilm8ZX9774YQQgghDiPB9GGYD8xvzTfVWvdvea32MW14\nV6YN7xrSa9xOB0keF6N7dfIvc7YQMADMvWkyNV4fvdLicToU32wu4KqXcgCanCPfL7Pu7v6fZg7j\njx+s9j/OTGy5gzPAUz87mrEPzAOMqUInD+nM3LW57Cws97+vNXrSmHF90/ngl8dzyXNLOK5fOjnb\nC5k8MJMv1+ehtUYpxa7CegFDnJuqWi8FpYF39surG5ZJXb+vhEueWxKw7OjeqaSbFY72l7Y8OvDd\njkK6p8aRlewh1wwwRvcy0nKykmPJDaHjtp19hKG4ooaUZgKrjqbG62PGE4vw+jTf3nZSUEGzEEII\nIY58LQYMomXTR3RhUJfEgGWuRqok1de/c+BrThqcxfr7pzHoztlN9ivo3zkJgF+f1J8TB3UG6gKG\n+NjgGpF1TvIwaWAmCzfkc1TPVEb1MC6kz3hikf+ueWwLORyjeqay6t7T/I9f+XYb732/m70HK+mW\nGseWeonQKXFuVuxq2LSuqF4S9M4D5Vz+wtIG6/VMi8fjdpLkcVHQSB8Ku3X7ijn3X98wrFsyH/96\noj8527oA7pzsCUgYD0WVbYShsWCnPezYX07n5Ngm826qar1U1/oa7ctht+9gpT/I3ZJfJgGDEEII\nIYDmk55FkMZkp3HBsb0CljmUarI/QXNiXU5inI4mA4YJ/dKZdcMJ3HTKQHp0ivPfdbdeG6wEs2Rq\nRmIsg7okkexxBUyx8YTYBXlYt2QAVu8xWncsWJ9P99Q4PvrVRC6b0JvUeDdnjKwbuXngHKNXRWVN\n4EX3z55fwr7iSlLj3fx+2iD/8qwkY7pVZlLz04lW7CzidbNx3eo9xcxZvY8dZnDQ3ayQ1LmFbTSn\nqtYeMLT/lKSdB8qZ9PB8Hp7TMA/Gcs3LOYy457MWe3/Yg6hwAyohhBBCHHlkhKGNBDMlqSn9Oyf6\nO003Zqh5cQ7wj4tHc/G/jek7zU0jqs9qTBcf48TpUIzJTuOLdXn+5+0Vn4IxuEsySsHqPQc5ulcq\nS7Ye4OJxvRjRI4URPYzqRo/89Cj+NHM48TFOPG4nP+48yIINgb01rNyGovIa/m9Kf77dvJ+vNhbQ\nKcFtvk+SPyixK62qJd7tZOaTXwNGlSmnQ3HbuyspLK8hPsZJN7NrdpdkD4XlNZRV1ZWiDZZ9StLh\nMMLw3Q6j0tXXzVSbspLPtxaU0Tczscn1cm2VoxprDiiEEEKI6CQjDG3EoVqektSUWTeewI1TBwS1\nrlWhCUILGKzRiHizFOvQrskBz4c6wpAQ6+KsUd3ISvbwxw+NaVLGlCnbvrocpCXE+KfOxMU42Vdc\nyUOfrmNTXin/XrjFX0724nHGiI3VgyHGabxmRPdUtu8v52B5DVprbvnPCs5+8muG3z2HZxbWlaft\nkuLhqJ6pFJYbU546xcf4k9StAGb2qtBz9+0jDGURJD1rrbnt3ZUs334g7G1AXc+NYIKXlnpPlFZ5\nbb+3/+iJEEIIIQ4PEjC0EacjvClJoXLbA4YgekdYrOJEVjfnfp0DS6WGOsIA8PiFozltWBc++XEv\nYCRUN8cKHJ5esJmpjyzggVlrKa2q5crjs3ngbGPK0v9N6Y/ToRje3QhoRpoX+9e+mkOf22bxn+W7\n+GFnEQB/mb3Ov+2UODdnjeoGGFOQHj5/pP+58X3TyU6P5+kFm0M+xtbKYSipquXNpTs476lvW165\nue2YfS12HCinopH9qbE1ubvo34tZurXpAKXcDBJinI6IgiHrfWc88RUPfLImou0IIYQQov3JlKQw\nvHTlsS1ON3I6FN5D0I7OHjDYRxtaYk15sprLxbkD/xSCaVzXmMl/NQpqZSTG+vMammIFK/UlxLj8\nowGTBmay+c/T/c8dm51Gz7S4Zi98Aa6e2IfpI7py6rCsBsm+HreTS8b15oFZa9lfWkV8jIu3lu3g\n0vG9cbXwGdqnJJUFkcOgtaba62uQX3KwPPSO142x57psyiv1j55YiusllX+0Yg9j+6Q1uq2yqlqU\nMvJEIh1h2FNUweo9xazeU8wdM4ZGtC0hhBBCtC8ZYQjDlEGdOXlIVrPrOBSHZIQhxlXXxyCUUQGr\nHKjVedm+HQBPCNOb7KzE6d+dOtB/0d8Ue56GvaN1c1OrYlwOju1tXPAO6ZrMS1ceS0a9crKXju/N\n9BFGgnVTlYEGdjGqTa3bV8IDs9Zw70dr+POsdXy5Pq/R9QEKSqsCytgWBjHP/6kFmxl05+wGd+yL\nWilgKLUFDCt3N6xCdbBewNDcNLmyai/xbieJsa6A7YZj54GKiF4vhBBCiMOHBAxtJJKk51C4HOHl\nMPRMMyoGWbkK1khFWkIMmx44nTRb9aVwBBO8eMwRhs5Jsfz9p6NwmY3qWnrtdZP7khjr4h8XHcWU\nQZ2Zd/Nklt851X/8niDe+6ieqcTHOLnkuSW8ZlZVeuHrrVzx4jIAKqq9LNt2AK01by3dwfLtB3hj\nyQ5/xSUg4PemWF281+0rCVheVFEXbEQy/ae4soYkM+/j9vdWNni+fsDQXJBjJYEneicKSqUAABFM\nSURBVFxBjZ40p34fDiGEEEJ0XDIlqY1EkvQcCrfLHjAEP41o5qjuVFT7OPfo7sZ2zIBBa93itJxg\ndEluuYZ/91Qjx2Gk2QciPsZJcWVti8cxuEtyQA8Ia7QkNd5NbnFVUJ9DSpyboV2Tydle2OC5Ux5Z\ngMvpYO3eumpMHreD0T3rGvMN7pLEOzm7OGVoFwZ0TuSbzfs575juDd47KdYoV7tq90H6ZyaSEm/s\nq32EYXN+qf8zCMWc1fv44Ic9jOndiZW7D1JV6+ObzQVM6JvOa4u3M399vr/Xx1OXHM3dH65uUP1o\nU14J//tuN9ee0JdSM2BI9rjID6I5XnN2FdaNMNR4fQFT54QQQgjRsUjA0EZczkMzwuB22qYkhTDC\n4HAofyUiYztmwBDh/pwwIIOvNhYwoV96i+ueNDiLbQ/N8D/+w+mDueO9VcSEOR0qMdZFLlVBvz4r\n2QhYLp/Qm9eX7KDW/L425pU2WLeyxse3W/ZzTO9O3HzqQJ76cjPr9pVw7Ss5/nWSPC625Jcxtk8a\nX28qYNLATDwxTkqqarn7w9X8/bP1fHfXKbicjoCGddv3lwcVMNzx3kpyiyt59tIxOByK619dDkB6\nYgx//+kofvXG91z87yVM7J/BIrPMqlUqd3j3FMb3Tef7nUaAdOnzS1i3r4R8s+P1jv3l5JdUkZkY\nS3piLOv2lVBYVs31ry3nTzOHMbhL8/koALuLKuia7MHhUOy0jTAUldeQmRRcF3IhhBBCHH4kYGgj\nTnVoAgZ7onOSJ/yvM8Y/whDxLnF0r9DvlgMc3y8DCC3wsbN6SwT7+lTzbn//zon8eM+prN9Xwjn/\n+sb//LmjuzO6VypVtT7u/2QtADecPIDj+mXQKy2eE/46P+Dz+vWb3wds/5/zNwU8Lq6s5VdvfE+P\nTnH+9wZYtLGAM82KTo1Zu7eY3unxvL7EmDp18XOLA8q7etxOeqfVVbla1EhPhs7JsfTJSODDFXvI\nvvWTBs8XV9aw52AFx/TuREZiLHsPVjL6vs8B+OP7q3nn5xMavGbZtgM8/9VWnrhoNJvySpn+xFdc\nOr439509nOW2kZsn529ifN80pg3v2mAbQgghhDj8ScDQRhwO5a9A1JaskYHbpw8mNT78vAO3mfTc\nUjfgltR6dUBeRSisi+BQplbZPXjOSM7856KgRxhuOW0QXp9m+oiuxMe4/CMOAI9eMIqzj+qOUgqt\nNXuKKomLcTBpgBHU9OgUz/ybp3DqYws5d3R33lq2s8n3ue30wZw4uDOnPrqQ2avrej/Exzg5/5ge\nvLZkByVVNewqrOA/P5/gP/7dRRXsL63irH9+HXBMi7fUVYiaMaIrt54+OCC5e2BWInfMGEqsy8GF\nzy4GjM90Qr90nl+0tdEKSFZzt5lHdaNTvb+jpdsOcO6/vuZ/vzgOpRSVNV5++sy3/LjLSLL+ZnMB\nz321FYBXF2/nJ8f0YFdhBWeN6saHK/bw0jfbeOmbbWx7aAZb8kvpFB9DpwhzZIQQQghx6EjA0EYO\n1QiDy6lQCmzl9sPSWlOSvD6N09F8daSmVPsDhvACDmvaS7ABR2p8DA+dV9efwV5t6ZzRdVWblFL8\n8cyGpUGzMxLYcP/pAEwckMG/v9rK1vxSiitrGdUzlaoaL+v2lTAgK5GBWUn835R+/OvLut4P5dVe\nfnlSf17+djuzVhqBxPEPfUFBaTWd4t3+pnNgfDYJMU7evn4CCzbkM2vlXqYMyuSW0wb711ly+8m4\nnY6AhPVld0ylwMxHGN833Z/7sXrPQWY8sYjnLx/D1oIy7v9kLYmxLi48the7i+ryDx756ShuemcF\n3+0oos9ts7jplIEUlFb5gwXAnyhusUZaTh7SmQ9X7PEvv/P9lby2eAcDOify+U2TG/lGhBBCCHE4\nkoChjTgOUZWkGKeDrQ/OaHnFILYDRBwx1Pp8xLrD+7PKSo7ljulDGJiVFPb7D+6SRHpieHevw82d\nADhjZDfOGNmNt5bu4NZ3V+JQ8PwVx/Ll+jymDDQ6Xv/u1EEc3asTryzezsIN+QzukkTnJA/XTOzD\nc4uMO/QFpUZScmEjZVd/eVJ/hndPYXj3FH55Yv8Gz9tHSCyZSbGN5g8M65bCuvum+fttXHFcNjVe\nTVyMk+6pcdw5YwiTBmYyMCuJUT1TOfnvCwB45PMN/m3cMX0I+4ored7cd6dDcebIrrz/gxEkHNO7\nE788sR9PzjeCJKsa1ca8Uib+5QseOnckTociPTEGj8tJ5+RYan3a3+1bCCGEEIcHOTO3EadS1Poi\nvO0fhJZ6HQTLGmGIdBpVJCMMnZM9XDupb9jv3SXFw+zfTAr79a2hV3q8//fuqXFcMq63/7HDoZg6\nNIupQ7NYs6fYv+7t04dw7aS+7DtYycwnv+ahc0dw67tGidQ7pg9hSNdkBmYltnrisL05n8vpwBqY\ncTgU15xQ9z30TosPeN3x/dO596zh/gpMMS4HFdVerpvUFw3MXZvH0K7J9OgUz82nDGJUj1SuMxO0\nLbsKK/jZ80sa3a+5N00iIzGWF7/exlXH9yEl3s2nK/fy5Jeb+PdlY/jZc0tIT4zljWvG4XI6eH7R\nVjbllZKVHMuvTxpAUXk1n6/J5fj+GfSst+8AlTVenA4llZuEEEKIIEnA0EacDkVV7SFo9dxKrGpL\nke5xrU/7+ylEo/F90rniuGxmjGw+wXeorQu2w6HISvaQlexhw/2nE+NyMLx7Ctv2l3HGyKaToQ8V\nl9PB3WcOZVCXJI7p3anBlK8/TBsc8PjLW6b4E/AdDsWpw7qw6YHT6X/HpwC8ce04vt9RxMNz1jf6\nflMfWUjPtDh2Hqjg8XkbueK4bF76ZhsAEx78AoDN+WVc8OxispJj/dO5wAh8N+eX8u53uwGYd/Nk\nspI9nPboQn59Un8uHNuLX73xPV+uz+PqiX24+oQ+dE6qG5nZWlDG15sKOGd0dxIaGenQWlPj1QGj\nUT6fxmcrR3ywvIaEWGerlCcWQgghDgcq0iTXQ2nMmDE6Jyen5RUPA4Vl1ShFRInIh1JxZQ0j7/mM\nOLeTtfdNC3s70x5bSO/0eJ65dEwr7t2hU1BahdenG53eIyLz3ve7qKzxcdFYo5zvF+tyAbjqpRw8\nbgfr7jud8576JqDCUqROHJTJtv3lbC0oA+CisT15c2ldgvqQrsn07BTH2D5pfLEuj2827/c/9+/L\nxvCPLzbywNkjGNEjhcoaL1e+uIzN+aW8ds04BmYlUV5dy8x/fs3GvFI+uWEiDqU4/+lv6ZeZwP9+\ncVy7BA1KqeVa6475P6AQQojDUruMMCil7gNmAj4gD7hCa72n+Vd1LB2tCow1KqAjHGMwRhg67p1V\ne+KzaF32RHIw+nBYFZt+byZvv3jlsZz+2FfsLqrg0vG96ZeZwD0frQHgvpnD2FdcycyjujMwK4lV\nuw+yeMt+yqu91Hh9TBvehRlPLAKMkYX3v9/NP74ILG1rDxbAKFm7dm8xn63JbbC/Vo+NM/+5iLeu\nG++vOAVw/ydreeWqsSzdesDft2PGE4uYPqILpVW1rNh1kIc+XcedZwylxutjd2EF2RkJDd5DCCGE\n6Ajaa0rSw1rruwCUUjcAfwR+3k77IqirLHRrvekloYokh0FEn8RYF1v+PB0rFSfZ42bRH04E6vJz\nzhzVjbV7S5holrS1WAngdq9dPY5qr5d+mYn8dupAeqcnsGr3QaYOyeIP//uRKYMy+dVJ/emc5EEB\nxz4wN6D79Sc3TOStpTv54IfdFFfWlZ+1goULxvQkxuXg1cXbWbu3mD/PWhvw/rNW7mNUjxRW7DrI\nc4u20i01jj99bAQ8L1wxhpMGZ0X+oQkhhBCHWLtPSVJK3Qb00lr/oqV1O9KUpGh1wl+/4NjeaTxy\nwVHtvStCtKi4sobSyloWbSrg7KO6B+QmrNhZRGWNlzveX8WmvFJG9kjhw19N5L/Ld/G7/6zwr3fT\nKQM5Z3R3TvjrfAAeu+AothSU8cS8jQHvdeaobjxx4VFc/+pyThzc2T81q7XJlCQhhBCtrd0CBqXU\nA8BlwEHgRK11fhPrXQdcZz4cDqw6NHt4WMoAGrbxjS7R/hnI8Uf38UPLn0FvrXXmodoZIYQQR742\nCxiUUnOBLo08dYfW+gPbercBHq313UFsMyea75xF+/GDfAZy/NF9/CCfgRBCiEOvzXIYtNZTg1z1\ndWAW0GLAIIQQQgghhDi02qWcjVJqgO3hTGBde+yHEEIIIYQQonntVSXpIaXUIIyyqtsJvkLSs223\nSx1CtB8/yGcgxy/kMxBCCHFItXuVJCGEEEIIIcThq+N22BJCCCGEEEK0OQkYhBBCCCGEEE3qEAGD\nUmqaUmq9UmqTUurW9t6ftqKU6qmUmq+UWqOUWq2UutFcnqaU+lwptdH8bydzuVJKPWF+Lj8qpY5u\n3yNoHUopp1Lqe6XUx+bjPkqpJeZxvq2UijGXx5qPN5nPZ7fnfrcGpVSqUuq/Sql1Sqm1SqkJUfj9\n/9b8+1+llHpTKeU5kv8GlFIvKKXylFKrbMtC/s6VUpeb629USl3eHscihBDiyHTYBwxKKSfwJHA6\nMBS4SCk1tH33qs3UAjdrrYcC44Ffmsd6KzBPaz0AmGc+BuMzGWD+XAc8deh3uU3cCKy1Pf4L8KjW\nuj9QCFxtLr8aKDSXP2qu19E9DszWWg8GRmF8DlHz/SulugM3AGO01sMBJ3AhR/bfwEvAtHrLQvrO\nlVJpGKWpxwFjgbutIEMIIYSI1GEfMGCc/DZprbdorauBtzBKsR5xtNZ7tdbfmb+XYFwsdsc43pfN\n1V4GzjZ/nwm8og2LgVSlVNdDvNutSinVA5gBPGc+VsBJwH/NVeofv/W5/Bc42Vy/Q1JKpQCTgOcB\ntNbVWusiouj7N7mAOKWUC4gH9nIE/w1orRcCB+otDvU7Pw34XGt9QGtdCHxOwyBECCGECEtHCBi6\nAzttj3eZy45o5tSK0cASIEtrvdd8ah+QZf5+JH42jwG////27t81iiAM4/j3RQ1iBH9WEkUFe7UK\naBFUUkjQJqigKBH/AAsb7SzSiZVgo6YQEUSDprPRwko0pBC0ixoTMAkGT1AQhcdi5pJTuOIwyWV3\nn09z7OwWM/vOHffuvjtLWnIXYAvwVdLvvN04xvnx5/21fHxR7QJmgaFcknUrIjqpUPwlTQHXgAlS\nolADRqnOHKhrNealmwtmZrZyFCFhqJyIWA88Ai5K+ta4T2kd3FKuhRsRfcCMpNF296VNVgP7gZuS\n9gHfWShFAcodf4BcRnOclDxtAzqp+JXyssfczMxWviIkDFPA9obtrtxWShGxhpQs3JM0nJun66Um\n+XMmt5ft3BwAjkXEB1Lp2SFSTf/GXJ4Cf49xfvx5/wbgy3J2eJFNApOSXubth6QEoirxBzgCvJc0\nK+kXMEyaF1WZA3WtxryMc8HMzFaIIiQMr4A9eZWUDtIDkCNt7tOSyLXXt4F3kq437BoB6quenAOe\nNLSfzSundAO1hjKGwpF0WVKXpJ2kOD+TdBp4DvTnw/4df/289OfjC3slVtJn4FOkt6ADHAbeUpH4\nZxNAd0Ssy9+H+jmoxBxo0GrMnwK9EbEp36XpzW1mZmb/rRBveo6Io6Ta9lXAHUmDbe7SkoiIg8AL\n4A0LNfxXSM8xPAB2AB+BE5Lm8h+qG6SSjR/AgKTXy97xJRARPcAlSX0RsZt0x2EzMAackfQzItYC\nd0nPeswBpySNt6vPiyEi9pIe+O4AxoEBUmJfmfhHxFXgJGnVsDHgAqkev5RzICLuAz3AVmCatNrR\nY1qMeUScJ/1eAAxKGlrOcZiZWXkVImEwMzMzM7P2KEJJkpmZmZmZtYkTBjMzMzMza8oJg5mZmZmZ\nNeWEwczMzMzMmnLCYGZmZmZmTTlhMDMzMzOzppwwmJmZmZlZU38A463RJtWRdJAAAAAASUVORK5C\nYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"weXFKMLFMKWQ","colab_type":"text"},"source":["Let's display the temporal activations, $\\{h_1, ..., h_R\\}$:"]},{"cell_type":"code","metadata":{"tags":["hide_input"],"id":"nzEq_V6VMKWR","colab_type":"code","outputId":"adee0b2c-9660-4a8f-cf43-5e107ad201ef","executionInfo":{"status":"ok","timestamp":1579186845188,"user_tz":-60,"elapsed":1853,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":448}},"source":["plt.figure(figsize=(13, 7))\n","for n in range(n_components):\n"," plt.subplot(numpy.ceil(n_components/2.0), 2, n+1)\n"," plt.plot(H[n])\n"," plt.ylim(0, H.max())\n"," plt.xlim(0, H.shape[1])\n"," plt.ylabel('Component %d' % n)"],"execution_count":10,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAwMAAAGbCAYAAACYiEwkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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eo/nGZ+CZhWZo3t3QjDQunMhY6klHEIsIC4hmQMXOjTJaiaKFiKd5UhmLmdSTx1tMW4LZn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\nD/TIgMWSTPm4AAAAAElFTkSuQmCC\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"y20lgauKRtvu","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":282},"outputId":"4cab9711-f05e-49ff-8600-52854cc47dbe","executionInfo":{"status":"ok","timestamp":1579186856577,"user_tz":-60,"elapsed":1468,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}}},"source":["for i in range(H.shape[0]):\n"," plt.plot(H[i], label=f'C{i}')\n","plt.legend()"],"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":11},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAWoAAAD4CAYAAADFAawfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvAiibnQIoq47RFXUtlIK7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7+avUKZSuWqnbkBACt7W7B3cLLMC7iX2ul5wvqYGgRRVxlM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\nAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"uJl8udPFSc9V","colab_type":"text"},"source":["Compare with the notes:\n","![alt text](https://upload.wikimedia.org/wikipedia/commons/a/a1/Wlazlkotek_4_ubt.png)"]},{"cell_type":"markdown","metadata":{"id":"UzobXRuCMKWU","colab_type":"text"},"source":["Finally, re-create the individual components, and listen to them. To do this, we will reconstruct the magnitude spectrogram from the NMF outputs and use the phase spectrogram from the original signal."]},{"cell_type":"code","metadata":{"tags":["hide_input"],"id":"FuYQP54wMKWV","colab_type":"code","outputId":"8281a882-1d6a-4a51-8e86-0ac1d4a31dd5","executionInfo":{"status":"ok","timestamp":1579186939903,"user_tz":-60,"elapsed":12467,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":392,"output_embedded_package_id":"10BRfy865xUxLOKuyk6Fdu7clR5DOHZ1h"}},"source":["for n in range(n_components):\n"," \n"," # Re-create the STFT of a single NMF component.\n"," Y = scipy.outer(W[:,n], H[n])*X_phase\n"," \n"," # Transform the STFT into the time domain.\n"," y = librosa.istft(Y)\n"," \n"," print('Component {}:'.format(n))\n"," ipd.display( ipd.Audio(y, rate=sr) )"],"execution_count":12,"outputs":[{"output_type":"display_data","data":{"text/plain":"Output hidden; open in https://colab.research.google.com to view."},"metadata":{}}]},{"cell_type":"markdown","metadata":{"id":"agTePRqGMKWZ","colab_type":"text"},"source":["Listen to the reconstructed full mix:"]},{"cell_type":"code","metadata":{"tags":["hide_input"],"id":"m3uyaa41MKWa","colab_type":"code","outputId":"6476ed59-8288-4d1a-9d0e-6a5606605869","executionInfo":{"status":"ok","timestamp":1579142503143,"user_tz":-60,"elapsed":1018,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":75}},"source":["# Re-create the STFT from all NMF components.\n","Y = numpy.dot(W, H)*X_phase\n","\n","# Transform the STFT into the time domain.\n","reconstructed_signal = librosa.istft(Y, length=len(x))\n","ipd.Audio(reconstructed_signal, rate=sr)"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]},"execution_count":21}]},{"cell_type":"markdown","metadata":{"id":"b0TE1gmMMKWe","colab_type":"text"},"source":["Listen to the residual:"]},{"cell_type":"code","metadata":{"tags":["hide_input"],"id":"H72HETRdMKWf","colab_type":"code","outputId":"f712aa4a-150e-46e1-e085-0fb0fd346ee0","executionInfo":{"status":"ok","timestamp":1579142505575,"user_tz":-60,"elapsed":1039,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":75}},"source":["residual = x - reconstructed_signal\n","residual[0] = 1 # hack to prevent automatic gain scaling\n","ipd.Audio(residual, rate=sr)"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]},"execution_count":22}]},{"cell_type":"markdown","metadata":{"id":"mYIAzJvDMKWi","colab_type":"text"},"source":["## For Further Exploration"]},{"cell_type":"markdown","metadata":{"id":"-iKZxCgdMKWj","colab_type":"text"},"source":["Use different audio files."]},{"cell_type":"markdown","metadata":{"id":"rjWhE0hXMKWk","colab_type":"text"},"source":["Alter the rank of the decomposition, `n_components`. What happens when `n_components` is too large? too small?"]},{"cell_type":"markdown","metadata":{"id":"XcJhRW3IMKWl","colab_type":"text"},"source":["NMF is a useful preprocessor for MIR tasks such as music transcription. Using the steps above, build your own simple transcription system that returns a sequence of note events, `[(onset time, class label, volume/gain)...]`."]},{"cell_type":"markdown","metadata":{"id":"j8rs0mgcMKWl","colab_type":"text"},"source":["[← Back to Index](index.html)"]}]} \ No newline at end of file diff --git a/lectures/13_ICA.ipynb b/lectures/13_ICA.ipynb new file mode 100644 index 0000000..5d7db6b --- /dev/null +++ b/lectures/13_ICA.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"13-ICA.ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyNQxWNlzhDtNll4uQPkLOM3"},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"code","metadata":{"id":"I9dsbGCpY2mN","colab_type":"code","colab":{}},"source":["%matplotlib inline"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"ZtL3_u7EY6DX","colab_type":"code","colab":{}},"source":["import urllib\n","\n","import numpy as np\n","import scipy.optimize as sopt\n","import scipy.stats as sstats\n","\n","import librosa\n","\n","import matplotlib.pyplot as plt\n","import seaborn as sns\n","\n","from sklearn import decomposition\n","\n","from IPython.display import Audio\n","\n","sns.set_style('whitegrid')"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"s9BO3I3Ryi-a","colab_type":"code","colab":{}},"source":["def correlate(X, Y):\n"," X = X - X.mean(axis=1, keepdims=True)\n"," X /= X.std(axis=1, keepdims=True)\n"," Y = Y - Y.mean(axis=1, keepdims=True)\n"," Y /= Y.std(axis=1, keepdims=True)\n"," return X @ Y.T / X.shape[1]"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"H5k38a-HY_UP","colab_type":"code","outputId":"0c8590c6-92c9-4879-88a6-4e1533bfda33","executionInfo":{"status":"ok","timestamp":1579185193330,"user_tz":-60,"elapsed":1790,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":282}},"source":["n_samples = 2000\n","time = np.linspace(0, 8, n_samples)\n","\n","s1 = np.sin(2 * time)\n","s2 = np.sign(np.sin(3 * time))\n","s3 = (2 * np.pi * time) % (2 * np.pi)\n","\n","S = np.vstack([s1, s2, s3])\n","S += 0.1 * np.random.normal(size=S.shape)\n","\n","# S = np.random.standard_t(1, size=(2,2000))\n","#S = np.random.laplace(size=(3,2000))\n","\n","\n","S -= S.mean(axis=1, keepdims=True)\n","S /= S.std(axis=1, keepdims=True)\n","\n","for i, sig in enumerate(S):\n"," plt.plot(sig, label=f'S{i}')\n","plt.legend()"],"execution_count":23,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":23},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXwAAAD4CAYAAADvsV2wAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrEFIhdJjQNEBYOVzkh67U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edeDclVxK1zXcl6XSgW1v5SZuyjRLM6k5sUqPKVnnnmGeza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\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BAQadvq3y8FsLQRCorKyEUCjU+5ucgaKiIt4uM+DtMg/eLvOwxC5DDwqjDj8nJ8fg77t3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\nRNIAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"ZE61gGy8xfru","colab_type":"code","outputId":"7c52edb5-358c-4561-ca4c-a482e315927b","executionInfo":{"status":"ok","timestamp":1579185207251,"user_tz":-60,"elapsed":1366,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":282}},"source":["plt.scatter(S[0], S[1], alpha=0.3)"],"execution_count":24,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":24},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXwAAAD4CAYAAADvsV2wAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLb5+YvkmBcbR+SrDrGAAnDjQ4NhCnXY1uK03ud5P+f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xUI48vHW1zfnvMO1sTQl9QDV17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wr+Dud0Ug+S9y3t5rL2Xz+18pA1fIpFINghS4UskEskGQSp8iUQi2SDcEIX//PPP8/GPf5zH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\nC0yvpgAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"OvduzcbVZrfJ","colab_type":"code","outputId":"c42e117a-9841-43ef-ef40-28229dd63bad","executionInfo":{"status":"ok","timestamp":1579185210554,"user_tz":-60,"elapsed":1193,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":285}},"source":["#A = np.array([[1, 1, 1], [0.5, 2, 1.0], [1.5, 1.0, 2.0]])\n","D = S.shape[0]\n","\n","A = np.random.rand(D, D)\n","X = A @ S\n","\n","for i, sig in enumerate(X):\n"," plt.plot(sig, label=f'X{i}')\n","plt.legend()"],"execution_count":25,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":25},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXIAAAD7CAYAAAB37B+tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndeu2my+4sboMElqVIK9sZ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GWzhHXllyt6I/13fVr1Mw7oHoVZQFj2S+znxt3cU63YBLht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\nH2ybmkm9aB/1RjM2HC9G+9hwDOa7lvX39dWrKOTpqSBBR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eWib3MacdaxBhUElB4KcgAo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"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"jLNf3fTM4j7O","colab_type":"code","outputId":"1673ca82-fea9-49db-94fd-6ed0ae1a8458","executionInfo":{"status":"ok","timestamp":1579184490781,"user_tz":-60,"elapsed":1872,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":282}},"source":["plt.scatter(X[0], X[1], alpha=0.3)"],"execution_count":7,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":7},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXkAAAD4CAYAAAAJmJb0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"zd_57i7IzJCm","colab_type":"code","outputId":"b0a98a09-c700-43a8-8b11-4609e0ebf8e5","executionInfo":{"status":"ok","timestamp":1579185223586,"user_tz":-60,"elapsed":818,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":68}},"source":["correlate(S, X)"],"execution_count":26,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[ 0.3977005 , 0.08359641, 0.94860983],\n"," [ 0.94865096, 0.71179551, 0.3938135 ],\n"," [-0.00210486, 0.66487052, 0.03831 ]])"]},"metadata":{"tags":[]},"execution_count":26}]},{"cell_type":"code","metadata":{"id":"eDrnGSwXZJwl","colab_type":"code","outputId":"8115f2a8-30ba-44cd-eed0-8949d1c25079","executionInfo":{"status":"ok","timestamp":1579185232978,"user_tz":-60,"elapsed":1056,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":286}},"source":["# Let's see what PCA does for us\n","# The pesky transpose comes from a different convention of interpreting matrices\n","# in sklearn and our course\n","\n","pca = decomposition.PCA()\n","C = pca.fit_transform(X.T).T\n","\n","for i, sig in enumerate(C):\n"," plt.plot(sig, label=f'C{i}')\n","plt.legend()"],"execution_count":27,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":27},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXIAAAD8CAYAAABq6S8VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGYy7OeW0bUfu5Br+HvvVG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59sl9M9z58eLp3wxdQu+PXFXoy8K2Jo0JW4j9mbrzp13J33\nqeIgaVKpwf3QFBGpojc8OAL8MNCpY7qCOlpStErtDiJ0a1Y8HLMJkc+5LbWoEhLdbEWtiwpdezQR\nAz4+juQCbhOO29rIe/TogcDAQD52ZRGxyE1NA/rFTpDsU1uCAPwbMZr7tw5DoLd1U8GImHCnRdSL\n4ZbnT8c40Wm0y49j3RboLUW/VvXhLaOKTTRACW7KX8JDr+ewR74MMUSKsXPaRWD/61Z/7In0Eyip\nKYGWpJu3NCy2URHJYdJzk8VPV1/XuYNbMtriblGzILtMKzzJY/kg+hE5h2TP/8X51VnKRbTPm2Vr\nECu6wNpXq4VhrUsfwn8+iQocYsvXIqSx1SEiCGidPRuqakDBc44O08VOri71IpltxcnMNhYGtKZP\n91/o29w2sVhQa0nGAqu78KnkG8Q+WGaxT8cmgejerB4ue72GAMI4hX1afNzY6ZexwPXN1LXmoExZ\nhrnH5uLJHU9i8ZnFtG1s9k6C5FDYf73tFm9HQ5YYFw18Z7KUgvvjH9tzextNK3VgIzenWR/OTSe0\nnRltr0vYi27nVyhQrnuWVBp6VDBrUReegrbYqJNSbwqFAgkJ9tekLC4qgpYkHfqunpb7R0NaU4CE\nZ9jfso4QVliIQBCoqKiESssun7TDfETm3YWkxiRT4aHFyM3JQhGbmxQH+56NhFQM/GRHnIJeHoVC\ngWN3yxHz/iHEzYyyfQcuoKamhnGe9FnATdv9Mk9B5dMQisAoRP79IspbTcaabh2BP+n7myk5gn+O\n74F34u9oCQIiAKW/zkRlWHeUNhsJiKmZj7QyCxpZIM6U/QMA0JAaHEw6CADwIaWoIlRITk2Fqppu\nSrlfUw8dAFyJXozuCauMGy79gMSwWKh9wpw+J5ZgO1+mZGeXAQAeJD5Aia9rHuv/PFEfX5wrYLQr\nldaf54J8KtHb3bt3WRdP+cSrKBnNAShVak65vAd/D5VPGFodGG91f4WkP2u70sRRIeHefRT4SlBd\nTQ0uUlPTUE9JN8tkZVL1BZQKpVM6jI06UeRyuRzR0fZX7W6QdhdassSh7xrYTt2ITu3DnJRgaFII\n+Pr6QqXRcuw7Goi+BHxCn6KG/bMOYRNW2nCQJABA5w5Uvc4Q30wUVlL+rN8/143TRtw0UGqQx+tw\nAQDqO7z+fgdISEjglIHWvr039W+r4UDxXXhf+pBzn01OzEMIYZxtBaYdRmDaYTRqEgm0fwYAcGnN\nQAQHtcAX3hWM74+RxWC76gaaRzZDy2b065QjCkHk2S3Y27sPYKrIAbT6Yxx38BdPWDpfAHC9LA1A\nAVq1aoXwQNfk+4mOBmYMUaLrCrr7nVxm/XlukJUIoBht2raFVOxiQ0AmpUxlMhlacMmlbz9gfXed\nREkYJzqD/dp+nH0iIqNwPqkQClIKoAbNIiJwIqMU19OKsXZqF3hJRbivyAKQB7lc5vDzx/UC8CjT\nithtvVb0AUFWuvk1YD7wHAuh1jj8ptE1cbiJDX3h8Da0fnIx++hH47SNyoVksLyUEg8x28wwVeI0\n9r5CXZxL6/FiwzBMYFHiN+r81PAAACAASURBVGfctKlmJ8k1L64FW/m5hwVIsbCIBrg+VoAtgM2m\nmp216rViOKr1vjYkQfMnqrFW9o3FPl/8fR/v7Ik3JLQjAXz0110cvpOL6KV/4Sc7au06Ai+KfP78\n+Zg6dSqSk5MxYMAA7Ny5k4/dMiAIyvvaop3t4THgzOfs29Jtr6RjFyZ+5DatzgeZeKE0ZNrkuIhp\nZMw5EuJHvwH109VZZrbMIG9jJXpTyapV7rFIx8qGwdb72Ms3vZFz6L+sm56PeZ5apNYnzWJbr9b9\ny3nrreHPs4iL6esv4slPTrBuq01vpOTVo9DQzlF/7eb5scNrpdUwRtMABYf+sMC+G/T1AvP7ZN/1\nTJe+xHgxrXz22Wd87MYqQcps9BbdgZYcBY6BJrBZV9ih35vMbb9OtnyAk/8Djq90YJpMAgRh+8P0\nn3hgdVNAUQZkXAJ+nwuM/criV+59OMJi9fhezYNx7mEhzf745bQuaKA12uRNv16lUMNPXieWNdtY\nPxiIHsvb7j7Q5mJXRGNaW5/qakxViDC4+3wAJsraEZ2jZI7y+eR8mm0RibWhLgmCQKi/HNk6zwz7\nvFZq4YVjT6TSpA3ASmpGu00+BXteeAJx8dkAS847f1ShHD7MDSyY15VVmRSmcMVLzaNMK12ytuEr\n6VeUWaC62HK47RcdgHtxQHEqkHkNuPAtoDBR0L/PBZYF0guxHrfFVs0CSdo1mwMAvHzM+Pe1X6x2\nl0vEFm2L3z/XDfvn9IWXVIzeUcFYOLwNxnZqhCAv44jc1JxS6a6lbvRkXgX+ft/p3VQRBKoIArsC\nmAtWP+TkY7CSxeOIRZMbHz4LiujBUZfZDpYfz7W4vbZNjhIH7dy1Iyez0hMnUm9g1p9Y23ANfvae\nga4R9bB4FLv9+or83zZLMOMn+uz/bk45CuzM4W4PbjwkY4Eg4IMa6m33USTgFw50mkq58T35DhBq\ncgFK0oCtU7n3pVeel34AxnwJFJnk7VBVUxfYPuHsu0nrt6J/Ls0EAhuz9+Xg4Lx+KNV5V/h7SdGp\naRAAYNsr7O5VZSaeGFVK93RB5JtekU1pn0PU1Avsf/k67wuT0ZHhL4LF/VD3r8Vr/OtEYPy3QOfp\njglrI8fv5eGzw/ex97UnmAq1liwYxpkfaVsa2zopLGHjQSP74ra3HNB5nHCNmOWE/c8MIS2ArN4F\nyELOYG0SIA2aAAJNrX/RTjxKkWtFMvgSCpCf6VLAVuQAZ7+g/r4XB8xzIGT6+magLJOyrevZPweY\n/JMdOyEN/7frfhVJAa1OuX7ezm6TTkwjy0FYKq0KCo1xFJBlEqRQ4842ch445e2FlSHBjPZj6Zlm\n01CmIrf6Pu46E7i2iX1baYbtQjrI7M1XoVRr0WHZYVxZMhQ+MjE+OXzP+hd5RKXRwqvxZkj87oPA\nxlo9tnWsBAS5GkIJr4a7IQ38h7HJq+FeqEnrLo/24lGmFX2ZLaKapfiwRkkpQ0cwVeIAkGp7zmJK\nMNKYa8Wee8dC8Qk+eP6v5/Hc1edYt0369rxhNO8O8B0oMic8FFlS+jjlbGo684avyKGyGWrUFmfk\nBq8LABj7JbC0GOj5CndHF6L3X65WaXAhqRAv/HwZJVXUtayNUPhyZTmqRfchDbgNQqQCyRIJS+Pc\nV+iUvgVALedasecrTvSU+N+CJIAaRIp9HsK/7VJWJa6nXM1/wjWPUuQakesy39EozwJOfwocXUE9\n4FbRjcXtvX+CmwMxEx0QkBuVRoUzmWdAkiT+yee+mQCg0weHodWSKK1W4c3tN9xKsVuEJd2BKRkS\nMWt7AJfL5ZoI4OMWJjqYxUZu3iYSAaM+Zu7LjnzXfPD6lus4fo87HwjfVKmq8MTWJ5DpbXRwEMtY\nFNPnHYBzugX8w0vQ9+GntSQhsCPzBMY0bohSDTNM3hKsJpVRn9A+png9i74iekUq7ya/wrvxNkj8\n4+HTbL3V42jBc9VweJgiJx30uXaIo8uB058AiSzlocyhJdm3c0TkHWT8e9uzgMJ+74fbBbex6fYm\nZFVk4bub3+HVv19Fx1862vTdP25m4cfTSdh7PRMbz9qWMsAV2DWI6jgFAJBLMDPZ7fbzxcim9LWG\nL3Pz8XealTz2NSUgtLoHjMVGzimn3My8dXQ5tVDLI5ZmK+ZupK6eECy/sJzRRkJLDXhMfelL04DD\nS2j9uhH3XO61Uq4sx4rELUiRSXG+2vaKPpynOOpJRtMU8UnWrt5NfuPcf8WDhVAUDNIdi/9z4FGK\nHLU1IqcdU0zdoH8tBsrovqJKjRIfnP8AH1QmIFcscuwmNR3B3T0AJPxu9y6mHpyKT658guG7h+OH\nmz/Y9d3yGrWJRcFN0txaG9U27gYAyOy1FMe0XaGY/BuGKD7GbrIbljWgF+QY6t0Jg0Z8ibD/WA+J\nbpp3AgC7ixxnrpDZJ5g7OskyUncCfR4PW3D1FUwqSWK0iSuzgRUhwGc6ZwNThX7hW8Of70k3u1g6\nIC7ZmHQtQGybq6Ae2rnTuy/XbwVMpI+yx4vPoZ38CgASXo222LRvUhUCrSIUAFDlgvUpj1rs5GXa\nKvNnFFu1yL7XAO96QGEiUHAf+NcuAEBBdQEG7Rhk6LYrzBdtqx0YETn5dt73gD2hDxv/HdEWH/11\nl9a2ZN8tw98uToFhEdpZGP0FEN4BOLbCuH7RYjAw6UfqxeoVCMy5hK4N2gAjZgIAHpK/Y1kU3cSg\nrmiDYd1WA+2b2hR5ackzhfPUBEcBAxYCp0yU9332DI6OcuSOZdfD2oAkSXx65VMkFDFfiE1P6ZRe\nRS41Ml9h8jL9623Dn51FSah04YD8Rt4NrLiwwvDZX2Sv55kJQ5dR/wGU+XPPyygVEfigfgiO+PoA\n2AV/7LK4C3VlFFQlPUCI6KXhvKWPuR85Q9E8ZcHvu8fLwECWSL6RH1HeLcNWMLexUVVAKXHAkE1P\npVXRlLgeXmZM+14FMq5Y7VauLMe3/3yL986+x9g2rJkxWs1LZIzAs5Yyt05LwdFOHgk07go8t9cY\nQt1vPuATTClxAGhAT0Ug8b9N+6yubIHq9FmQiXTmOEIE9HndoggWTOSmkjF5Yp7F/TrLPxm2L465\nKoLy+5vfY9Mdo6fOlNZT8FH/jwCYnZNP6dfFHFfp8fyqfDwXR1/Yt+9cWJBMLMEpby/0a9ZUp8S5\nKb/7IcoT1qAy6T+ozpgJdVkXqEp6AQC8dXmOwiR8Z1/1sBE547Kw2czfuAkUJALNBwBJutSmwVFA\nkW5K2OVZ6t9WTwFHmErQEre1VZi6qQP6N+7PLaO9z1EwS0raDUMMroililIsPLkQy/suR5hPGCb/\nMRmpZak0t0JTTj9zGr5SX/Rt1Bd3Cu8gLsk4OpRLLL+3Pzl8HzuvZuDkQuZLik9uZpRgwYEM7G/R\nylBMmTRNLWyq1N/LAyoLAV+6yaRaXQ2VVoVTGafwzul34N2EfozqtJcBmETYEQQwfCVwex9QZtlF\nkDWfiqVcIWLXmvyknGHMrqdKVYW+2/pCbVIhaWmfpRjfcjyOp1HPF+2UVDGzI1pEWQVcXk+9ZEUm\ni9T596hYjiDrqQ8uZF/Ay4dfZrTb+9IwvexaUguRiQVgTngo+3dAoDL1RRDiGpAaL4Ck7metIhyz\nB0bh+5NGU1Q4ipEDQFqWYqdk1vHsEXmzPtQUXI9XEFWTr9VQQCIDWg8H5idQmfPM8bKvEMZuP19M\nlVA36enM06x9HBpt9H6NMhlwcCDpAM5nn8ewXcPQ8ZeOuF98n1OJx8+MR5BXEKRiKSa1ngQRIaLZ\ndMd2boS+LS0XdU7lKFPFJ6v/vAui6CE2H/gbRZVKIPMaRAfeMOlhdiZ9mTJP+WMK+m7ti3dOv8PY\nVpFozC++Jo5uSsLrl4CXjgFzrwGdptE2iQzJVpgyW1w/sCHxkjPIxOxeOGzwrfJ7belFU+LDI4dj\nSuspkIqkBkVnT0oDUmvmsXFyDXBkKRCvy8+Ueg64sQX4uicVnW1O9j/GpGrludA++JuhxDd0oGZe\n9jyPpi/oUxmn0OmXTth0exNG7h6JDptY5NBxVdYemqqWUJdT/5oyoBV72UBX4FGKPL8BNUV5GLsT\neK+QUuIvHzcWVmUjoJHxVdt6pEl7QyrniZ6YCZy7GBjRmLGIpmdWzCwAQDOdb6/dC4YiMdCBmQOG\nPPUpzmWdQ3KpbZ4kz7Vj+osTZvlfpGIR3nrK8tS3NvD3kuCw/L+YffMZLNgQB6wfBNGdvcYOusVM\nS6SWpTLatGo/lN97H6TamFwsqaASb2y7buwk8wWadANCWgATvgN6vWrYpHdWIUUWvFbY1IOI5TFa\nFghUFTHbHaBTU9dX32Ijp5JeB7VZQDN8PMC4FqC/1+1TmFrqvPw+D6gsMJ4jtc5VcONIyryoR+9g\ncC8OOL4K+H4AtBsGY/sfL+KjjT3R6Sw9p9KBCQeM19EOuQCjmphzdA4A4JMrnyCjgjl7W5eTh98z\nsnAtOQ1cc7Gby6jyjbT9wzG5bMGjTCunS0Iwu+Y3tDvnjT976EQXSyl7KgC05/LJ1p3CSLN8wkER\nQNQgqjBr9xeB23sZ34yXyVDEMSKaFDkK87vNR+79g7itzuXFreigrw/eDq2P6Ls/ICH5Z4t9RzYf\nCQkhwVs93kKwFzOKke2lYp7Mpy4wTda1sXgGbdu+Dl9jfMNOFr+fVcFemaYycQlr+/4bWVg7tQv7\nzkauAcQS4NxXJg8aUzHbkmqFwf+a85Kn3FKyNHP4NJHH7omlfX6mzTN0u7NpkJSNBPzPpACHVgPo\ny+wVpwJJJ5hf+CwaWJIPbJ0KEkC2RIzjPt5YU3QJCAygdd01ZheaBTRDHvRy2RfmU+i1BcN2Md0r\nTYlPTmN8s3GQNzJLqjGhS2PsvU65uQZ4USo+qoEvkvKpnFCCItehUGkBECipoq8CQ+oNLEziNpcY\nfMdYHPFnmHh9zL0GfEW9FApFIjzZrAmzv46x5RVYdvw7YOBHIEBdHBLOP0hvh1K+0Qlybp/5XWN2\noU2w9ZG1+YgcANQ2uLKVVqkQ6OM6u6+Ew+Z7QNMbGfV6Wf3+a3+/xmjbPXY3svvUw8yf2FMVVynV\nBns8AyX9QaPZanW4iWOmVUROuh5lVmRix70d+OmWMUVF74a9cSH7Ajo3oKdcFuleeI4rJhLQl9A7\n8xk935Epn1B5ibb6+2F1feaABQD+1+NdxjNhb/HlCtkZVJjl4ese1h1XcinngyOTjwAfmz13pBZx\nTweipEKCiI6dDYpcT8fGgQZFrof/cCAPU+QWYbGjMrFyy4W0AEZ/Dhx4E6tD6jE2r8/OBQmgS5MB\n8CowVkmhFLljD1BGeQbOZZ3DmdD6OM6xIv7T8J+g0qrQLrgdcqpybFLilFxMRW7LQ9dp+WHM7NMM\n74+JgUKtNRQ85oOcyhwoVddRRRDwMZsdVJJeFj0NNsRvwJaELcivprsZ9mnYB63rtUYjH+4o3Enf\nnseGmd3ROIjFJa3ffKAgEZoiyvOFsHCW7FZaJukbHMWeY/pIHb9WJTUlGLF7BKP9m6HfQK1Vw1tC\nP3dE7i2dfBy/7+lfgB3UjCsnsDPCS81yIZEkYGJ/NzgkmFNDee1c8WbPgR6i1mBkE2OhFVu8j8xJ\nwzbW9o0jrOSRSb+EgPuDEQAAHUtxauEg2vOyemJHXEsrQVpRldHk44JRgUfZyB2mI1XmC21GWe/b\n/QVc7T8Xh/x8ac0jKyrRu0aBPjUKeD0wKXVFkjqFab/74abbmzByz0isuLCCU4lHBkSiR3gPPNHo\nCQR5BaFtcFub929aLEFP92b18Gwv654Am86nImrxn4he+hevCbaG7RqGo8pPGVkJASCcsGxTXntt\nLUOJA5Q7KGCsaA4AO2bTM0AmZJeh7xqznDp6gpoCsw7gapu3AHAFBOnswVzX2Gzh1MAHQeztNnI6\n4zTKlPTz0jMyGAfnsZcdczS97Pa72/HG8TcY7RenX4RUJGUocQAgdDMZ1lMS3hFoN87wscif5b7V\nKIBbu42frawpcJ36HVk5gMaYXsKmTJVm5BL0CO7o4Gh8OehLZschS+mfq+kyR4T4oIG/cfHbWybG\nqUWD8HDVKLw5tLXtAtmJR47I7R4VNexos62yTFmGWRn7Ge1vFXH48n7XD0Sg3PCWtTSizKrIwo/x\nP2LH/R0WZXi5pBSpEgmeGrAMwzvMsNjXEgQIRl4HiViElRM64PCdXOSX25YfuUalgZcTIz095otn\n5ngT3PLkVzEVeGxULLIrsrGoxyIAoBXV6BphvwLViCllxbbWYXVQPf5bYNw3wHLmTM7RUXl6eTpe\nO0qZkSQBz2Bsi9HYcz0TIhEgYVtgdZCimiJ8eJFZC/XUM6fgI+X2myak1GCH9XlsrRvZj10H+DaA\n9uwfzD6mShygspBy8FFwEP42G+zcTE4zDrrVNZTNXSQGobt+WjtOuQ/ZHFVEMsa2GIvRUaPRpxF7\nKmj0X0AVPFnX3fadg7o39fUEXLFO5VGK3NUBK5WqSvTd2pfWNrXNVCzutZhS0MtYbPC5t0AEdDXY\nyC0xfDeLG6QZA0T+mFesW1DZPRdwUpGD1ABZN4BG7CXlRsSE46/blhUsH/yd+jfePMFStcmE1arp\nGMZyjZUaJQbvpJd/2zxyMzqH0n+TRKfIh0aHQSIW4cPx7WmRqzZjIkOlqhJVqioA1IuMcwGNIKj/\nGnUFsq7Rt2VdNy7I20hcchyOpBpnft6Nt2Nit1eQU1aDpWPaoVkIU8HufvUJm/dfVFNkMJfsf8Ac\nuPww7AfU82J5KZlAyP0AmCnM5gOAvv8Bmg+kPnelvKmIs/anntBTIBLhV7OFzTOpGXTLydc9gQbR\nwL/PQHTkPaBROLQS20P0ZQiGSlONlf0cLC5jAyyZ73nDoxS5Kx0uruZeZfVJfqfXO1YjxIiyLGjl\n1OKgac9SRSn6besHH4mPYfrPxRONnkD3sO54WhwMPHzBbvlZ5SIIEBol8MNAxoxk46we+O1iKlaO\n74C1RxOx9mgiL8dko1JVaVWJA4CS5Xb84+EfWB9Pz3Xx58Q/0dSfaZoRiQicXjTIMLVlG1lfTS1C\nt2bsC2YGdN9TaBTovaU3AOCpxlNAyCKs34Mz/wBWmxUIWT/I6oxQrVWjy2bKs6ZraFdcy7vG6KNC\nOba83Nvwee3Uznhjm9Hu3K2ZZcVrysDtAzm3LeqxiHtEagKrF4ZvKNByCLMvm6OBDagAnPQxmnVa\nKpX4X14hAs390QEgPwE4ON/wUcNiDuKCekHbOMsJambzfk0xnC8LSdkchRdFfurUKaxcuRJarRZT\npkzBK6+w5Gl2UzRaDTpvZo5Wp7V5Bs+1/RctuosL/VTO/Ck/lXEKAFClZg+y+WfGP1Br1fgr5S/E\nNo+FWCQGbu2x8xdYkMvCsl37xoFYPZHKkPjmsNYWFfnqP+/io8m2ZVNk/f7F1bTPg9AOp0lqYfG+\ntjF8CAWaEAXQQsRwmVx8ZjHt85ioMWjix+1N1DTYOApTs6StzSuzZE6iq6ZPrxhTrx7O3Am/FoBS\nw1RSNCyYIkzZdX8XGng3QEz9GKg0Krx18i3DNjYlTolFV14j2zfEG7C/mEpGOXtk68jmIzGz3UzE\n1I+xaT/6s1XYZjpw82fqQ+wnXN3topIgkCSV4uOQIFz3Mi5yfppXgCiVhdTS1zaB0Hl8aQl7zIFa\n22NAJDJg2HIqkIm2Cy17TIEO/RZHHSMsiuTsDjQaDZYvX46NGzciLCwMkydPxuDBg9GyZUvrX7aT\n+rqRVnZpDUZ/dRoH5nKHyttCWlka0svTWbct7s3uk8yG3v0QoGbXG29tRGpZKnYn7rb0NYgIEWRi\nGca2MCkybO5DXZTMHsZvI4abxgnvie1X0jGmUyOEB3qhZaifXd/ddncb9j+kT931L5iH2oaYrZqP\n76SfAwT1KJnCFsG6qv8qm4/N9mvLFdxKQP8gp5YnI8TPB1vvbmX0uVNyGUMtleriepDNzv8H5z/g\n3ocZYkICDalmvJRlEhGWjm6H5Qfu2LyvSlUlNsRvYLTP7TIXr3S0bwDGCAgKjKASzLEgstPprjfL\nYjgA1NfYkfzMjnUEu0bkAND3DaYir8wH/MPY+5ugdYEnudMrJjdv3kSzZs3QtGlTyGQyxMbG4ujR\no3zIxmD2gCjD37cyy5za14PiB4jdG4t//80sqLpjtOXFSHNEuuLLWpBIJn7AZ1c/41Ti3w/9Hhen\nX8TZaWfZdxbSgp7c6Ut227YtEKpqo6uTohxIOMBpn2KzuZryrx8vYuhn7HmYuVBoFFh50Whz/HjA\nx9gauxUyEaXIpymXIJlsaAiN10JEe9d0/5W+oHTjOftGn2wmsUW7qGLbSrUWao2ZctGdrMXnFrC6\n4QGAt4RZxNkmDrwJjVaDlNIUZFdk2/SVd3u9i/PTzmNKBHWP1nvAnK290M++l3zvLb0Z9+aqfqvw\nfMzzdu0HMCpMlTwIaNwdGLeOtV+1uhpTJOexzd+2QUAuRwBefHIaAhpaj/o1Rnbao960IJxVh1by\nzBjlcsMReW5uLsLDww2fw8LCcPPmTQvfABQKBRISrOeHNqdGRX/wHNkHAJSpyvDS9ZdobQtaLsDF\n4ot4Pep1IA9IyGPuu1Gz4QhMPcSyRxJaAHni31BFXGQ9Zr+Qfngl8hV4lXkZwsszwb5KH6gOhGkN\nHEd/p+Le34Z3f9HuBQhO3IGsHotRGjWW0XfNkAaYtoMZ9m6OrbJoSS2+SfqG1hZRHQGihoBapQQp\nMo7k9KM1LQjk5eVh/+VbWHKHPiNa12kd7t+7b9Ox9eTlstulI98+CABo6C/BTxONrpglpdY9m4rz\nS6yeA9/+nyHi9Hx649WNGF55C7kK6ylp+4X0w6RGk9BI2wjpD9NRmU9Fsta7uR4Jkcxrp8eSXPmK\nfCy8tZDR/kTwE2ipbIkH920vwqAnL5f6LUoNiYR+6wAFADMZ8hX5mPMPFfK+sn4wppYzC6fkdpyD\nsJtfAwBWd3kWW0qYuYzW5lJeS/d6rkGbvUMBAA9id6PlwUmMvoaxi0pt8/2qVqugBWnXsxZt9lm9\ncQwSxx3k7J+fT/0GlUrl8DPNRZ0sdsrlckRHm58G61D+zCmGz/7hzVBYoTRUj7eFjPIMPL3naUb7\nrL6zMAuzLH/5bjCQCioJV2W+wTuB0AU1VPmwj7K/GfIN+jexwwzUpg3QsiOwlfJ/j97em0r01MT6\naMSUI9el0GXORHAiNcto5KNFI5ZzT0XLWlfktly39PJ0TPljCipVlJ/x5NaTsbT3UsMI2euqF0gN\nAXPjBwkCZEAxQ4nHz6SX1rKVK6WpAAo5t2eXq2m/R550jFJGFqgf2sD6OYiOBtr1AL6nrnm6RIzp\njcJRYkGJP9PmGWy/tx2Leixi5M0JSvcDqgC5sgiRbduymMiSdIdll+tUxinMuTSHddtLPV5CdLj9\nzyIAlCsvAdmARCLhPPabu60vcofF9AdadgGST2BLySnatmnSMCx+Js6QYbINAOwF0H8BWvYYChTO\nAS58TfuOfmVIKpParGfEF0TQkty/wxYkNYWIDgFQvzVrdHBxZSiQD4ilYoePw/UCcNq0EhYWhpwc\no/tabm4uwsKs24kcwfz+7ffRcYz7+ix+OPWQnhiJA5IkMXLPSEb7vzsxzSus1Iuk/u3+PBUBqpcL\n+jE5k59H/GyfEgcoO6v5yv/N7fbtAwD8wlmkYjetWMtVrudOFrdJS6PV4FjaMYzaM8qgxAEqoZep\nmYMwmFIo9CNypVcOduXQc8j/M8Ny3VE+Ic0WE6e2mYpZMbPgI/HB4EbjWfuwUaOuQVlIJG5N+Aod\nmkdgVNPGKOEwF3hLvBE3MQ5Lei/BxekX8a/ofzH6iHRFMUgCVJFxFuqZpVQoVZRCq5NVnwTKlCOT\nj+DM1DPoEd7D6u/hQn9Fufy1z2edR2YFfdZZ/tQXQLN+VKZSPSIJ0HEK0ge9DXOatJ/KTBO8rNQY\nmNOM6V1jXLK2J9eKFuyrKhYYyJQX3/QGTv7PyrHc0LTSoUMHpKSkID09HWFhYTh48CA+/dQ1hVa5\nkget+pNKVcqZGElHUik9BPj0M6fhL/O3yTMFAND/LSC0HRXsYOIrrP+2l7odCHEJ/pq6FSqNCvnV\n+Whfv71t+zbH/Oa14r7IBjNAH+z5ZkDZk5uF+FhNY5tRXIV2jQJYt43eO5qWLa5LaBfM7TIXUYFR\nrP17Nq+HuGQSKt1tWBpJX5s4O+2s7deGBXsflyjfnjievxGEiDrX7/Z+FwCwoPsC/PbP3ziWtc+g\nHM3Ru5r2bdwXZzM51j9Y2DlmJ5r4U144XME3+lqiJACknqWqJZlw+4PhtGCowupCPLnjScjFcs6U\nx+G+4aztfFChrECfrezui9UdpsH/ieeBwofAocWAqgrF4THIK7qH/54yvsS7h3XHrJhZ1gdBbMFb\n+k02KnK1Vg0NUQ2CtLMmcI+XqOvR4yVg50xjeyZ7YRhLqR+cxekRuUQiwdKlS/HSSy9h1KhRGDly\nJFq1asWHbAzsyQJnzoGkAxi/fzytLcgrCGKR2PZKImIJ0G4sNTUIpisnLQCQJETwRrBXMMJ8wxxX\n4mxc+YlasLQDAixFEiyMKP83qaNVX+T8CnbFkFOZQ1Pib/d8G7+M/IV1xKeX6MPx1Pl5SfUWvlLT\nr03cxDgEyNhfGLYyplMj9GoejKMLBmL9DOuReP6SBqi4twLjoibi26Hf0raJdK5sWpLda2LT7U0A\nYFGJ19NocDo1A1f+dQX15PXwfPvn0SzAuk+yWHdMEgA2TwCubqJt95VLaJG3ek8sNiV+bMoxxE3k\npxQdl8JMLGG6sj4RQqUwMPj2h7QApm/H30++gQF7hmPyH5PxsNSYNOuHYT9gYNOB1l/kMt3Lz8S3\n23DH26g3F59ejGoiFXa/+v0aALMOAH7mFgj2/TifZIwbXmzkAwcOxMCB3AEGfOFoYrcjqUcYwT7b\nRztgqjDFxM3KkP2QiAER3gAAIABJREFU0Lqs1BYAYHUTu9KissYdWFDkvaJCsPvVJwyLgWy8u/cW\nOjYOQocm9ChX8/P7bPSz3HLpRQGBFePbIzG3GT49HwZ/ULOcVf1WGUapzhDoLcV2Xc6Vh3nMRTYA\n+PVCKv7Vm1ICf8ZT3iT/7bEE/l70GZFeoWhYFPnexL34I4klBN2MtwuLEaTVAmoVTk09ZbW/Hn0w\njWFK/sc8oNtMRr8Pzn+AXfd3sb4cCBC4OdOyE4K9iAzuh8Z7niRJzIijRyPvH7cfH5+hZlvmM5qT\nGUxPqK2xWyG1tepSiyHAyP8BbUcDn7cDYPuIPKcyBwqNAnEp1ItNS1TbdkxzzJ9501xMpt3MTIp8\n4lFJsxxRkpWqSsw/QfcguP7cdbQLaee8QNOpm5MgdW9ZknTehYlH9DcOKTcZ2ToYYWfKmHVnDH9X\nqirRYVMHQ6pPAFj/1Hq2r5nIRV1HggCe690My8fRZy4d6nNXZHEUltggAMbi06mFlbiWVqKTi3mf\niQl9ngzj+atSVWFG3AwsPbeUNY9MuG84tgX1xoLCYmzOysHISp3Z6s+3GH0tQcDEtGKBXfepYsDm\nRTc+HvAxzk07Z9cxbZNLr5iMkpmujeiJCooyeREaz19BdQGjePjusbvtm8kSBNBrtjGFtUgCPEu5\naVpT5MN2DcPovaMNn1UE98K4RZqwrDOoapii6l98LojsdB+t4wKu5FwxhFjr+X3875CIeHLWaT0c\nqN8aIuhGJYQDCyYuxDAyGbHG2MhTnoMrKVTWN/PRF0BljrMIyVQAAKBRNEAr376IDIzkRUZTWodx\n+zBXKdWoNsnwyHYFRSaKvLC6EDvu7UCvLb1wPY99kb1tcFscmXwEMSJfzCorR2eF0rhfrnStXNhQ\n8SY+n92zJ35mPEY0HwE/mX2BXLZgOrMCgOXnlzNs43qPI+P5o87z/eL7rAXMw3wcdJTQm2D8G0EU\n0NBqdyXLorGWcLDMoUgM9JxNbzvzObMfewA4L3hUrhV7UGqUeP4QM8iheaDjUZKshMWAyD4OkqCm\nlbyOyKPHAglmyYYeHKXK14Xa7r5Es5PzMCIHNJj83Wk8Nfgg7hfTfbsPTzqMQLnl0mRGaYznqkk9\nbxQTWhDgL/e5KVEN/HD53aHosfJvxrZ2Sw9h/jDLKUbFhK6oLrR4cseTFvsu6LYAU9pMoT5oWSJJ\nM9gXw7hgzWmiR1EOyP3xZ7Kx3OHBCQdxLO0YOoVarrTkLKYzlzuFd7Dz/k7D5+GRwzGyudFDTH9d\nNVot1Fo1Jv3O9P8e22Is/GUOBlzJfIAxa4EWg0GQlJJmW5guqC7AL3d+wcZbVvKM24v5sU6uATo9\nQ1tL05uG3dZG7o6subSG0WZPLm+bGfc18F07wyTT7pqdlnhmM/WvadbFX3Xl7GywlRtsmK2eMjay\nKRYONr/YE8/9SK+4I5LnwDfqCwDAebMAxe2jt6Ohn/XRkDF5kLEto7gaviFqZBazu9fxgWmeaHM+\nO2J8IbFZ8PQjymuFzJzmM9vNRD2veihVlEKpVeLZds9CKtLZeOU6xRQUAZToslpyLJhyoRenIrQz\nkKV7CVz9mVLih5cAE9cb1hTC1WpEBERgVvtZdh3DEfQWgps1aXj/wDOG9sZ+jbGm/xrazFd//n68\nvQ77k3eCDaczD3abRclVwl5piCRJ1lkAAIhIOSIU/2XdZhNsz1XqOZoid7SWqC14nCL/c0ZzrL1a\nhUO3uYMrdtzbQRsdRPhHoEtoF7zTi5nd0GlkviB6zoYmcS9IpZ35GlyMQWFKTYpkKNkX/cwZ1SEc\n/VmqgEuDzzDaLj97GRWqCtT3rm+XfIwbmtDCV2qnC5idDI8Js3jvAOy1TvWK6HrRcVr7lNZT8Ea3\nN4yK25zBSwD/hkDMeHpV+K3TgGnMXC6s8hgS+ZjcW3+YFIF4cBSNuk8FAHyRy8zb7ir0Z2l3GT2a\nOW5iHGOdQX/+2JT4ir4r0MCbv4rzxhwwxjusWl2NH+N/ZPSd12Uenmz6JJbszIaWdEId1nDUKzCV\nS39KXGB99ThFThAEOjetx/kwPix5iBUXVhg+v9X9LUyPns79oPGASCyDPtsKryNyPQuTgI/ZfbEt\noZfkrTP/Rd/AQDxdWgrk3gaqizmTGwFAyppYRpvYOxk+kd8z2kO9w+El8YKXhL0MFxsGdWRyqiZ3\na4K4Mg36t3RNMJme75/rbtErh4sw70aMNpsiTmW+QN95QIWZgr33J3DiI+BJJ0aBeiRyaDMuA4CL\nDFPssN3p/jJ/1sViLpPjzjE7+Z8pG0wYJNLL0jFqL3dlsJc7vgwAEKHQrgAiBl1nMIu3i+kzQMKF\nNnL3GT7agWnyLAOiarT7bgTDV7x3w94uVeKAaZFjF3mt2FSPlIneq+BY+nGsCA5Eh+YRSCi4BXzd\n28o3mUj8bzPaKh4swobB9qfd1d/QplbFNRM7wN9bBC8Xj8htgc204i31QcWDtzA1chFOP3Mau8bs\nsm+nLCHbOGFbJkf9HcUVjASpN7S5unqjLszZbw7boGXtoLWsfcvVzJlC/Mx4l5g7CaMmZ1Xi+mNO\namW00zulxAEqSGtZKRBg4ja75yVAYZwBx/g2xivFpWjn7Vg+c0t4pCIXiQhDMIken8hvIfY2hgM3\n9G2IC9Mv2Fyo2BkIECBJ0rEwX1vpzO2XzYWK5cE/6uMDVNhXEci3xceQhdBNKlpVAEhVMBRqxx8A\n00g3iVgEjVYNCeG+k0RSVR/dQoYhyCvI/vtKanuRA87jcykbidxQ0k8MANc2u7YKiw65iQ18RrsZ\niJ8ZzxnyrwU9MvnrIV+z9uMDvSJXk0y79QvtX8DOMTsRPzMey55YZv5F5/EyC2L73JjbXSoSY25J\nKbxE/A9WPFKRA8C0nsasdWLvFIjleYbPr3V+DQcnHISv1Jftq7xTo6mBilRBLcl0mdcFeprlitZY\nD9kv1DB9WYvsKM676NQieDX5BSIZ3b+2MmkuKh9SdTKrlPYXZmZb7ASoUGneXEMtkLImFptf7Ike\nkbZX1DGOPh1UkFJv4A2WgBy2SjfmxzYsknEcWywHqYsuFIEEfn8duM1fgRIuvE1mum90ZRZuNsU0\nSldV1hEDTKre843eHv9r+q+09hntZuDNbuxJvHh77z27CzD1vDG1nesOwoi25gGPUuQ5lTm4V34P\nAFXMdHTHhgA08In8ztBHkT8Eszv82/bIMB7IrjS6b1Qg2TUHkZh5XKisR6FdVzCns3L9HVtuPZ1q\nXHIcpP7MogVaRWNAtzCUUlCJageUOQU9IlBN1o4iB4D+rRpgSSx7UBjbc8bLs1ePZUptgweLwebM\nZVoRy6DReccYxCzLsl8+O5HpzEVBIh/IxJZHmaMjjMnANFURFno6j/6FV6amJ3gzr/FqDi/qNbAx\nMPcqva1G72FmWLXm40g0PEqR/3rnV3zywFhKivBOhKw+3R1MWdQXty1k6HMFhdXGEasSRa45iPlD\nfJ49ib8pS+oZC/5+PeRryEkSar1S2MjMAmlKtZr9RVGZ/Drt8/wd/+BfP7LnYOfCUPLK5H7OraJe\nLPnVted1wVYKDrA8OuPdYmGDO6hhLsB1cI0SWl2GRLG+y+ElwI0tzstngWCpPwZUVWNR6ESrfev5\n+KA8YQ0qH86Hqrgv92/hAXPbfXRwNBZ2X4ghEdxl+niVxnww8uci3UEERQ6AGplUaygFc7foLk6U\nfQh5A7NqRFofTN9woVblCvcxLnA0IbhXyJ0iwMxr4uRHVr/SRVYfN1MycPVfVzGgyQD4yQJgGP8V\nPQTuMKunkySJn2/9jJ6/9WRs0yrqQ1vDzIFyNbXYll9gehDdv8amLXcppbMn0fUmAT1dOPLYyyXM\nx4Iwrp/xy56XrffRna/KCJ0PdCOzLJ8aBUjdyJ6WYW/fqy61lYtB4OvcfHSwYfHOT64LqFKGAiCw\n+YL13PeOEhFAH/FvGL4BM2JmWE3AxZvFw3xh++Y2QFkJw93jgmU0j1LkXhIvKLVKpJSmYMofUxjb\nK1NeBQCoNbW4dA/g5j+DocgdifrF76G5mFm0ghe86wFL8oFJTF9YbkgAhGHaKxbLoDG9W3cYw+sf\nljzEuaxz+Pzq5/j0Kj0NsZ/UD3tHnseesWZRpg5ikMDk7qvWmYpiQmwr/MsHIpYsbKueasjhPsfT\n0zfBzIUz4Q8g/bLl7+imLjUhbSjPiFAzk1BJGu5mUFkXRY3NFhuzrOfpdxy9YrJ+bnzk9FHq0v23\noeFKgMMj3cO625ZFk09R2MyDBYnCiFyPXOeXqc9WZkp5whpoq6mRgdK8FqOLeZCjgbJoIJJzXLy4\nKpHR0nXi72XAlqnc/c1GY2JCDIZF9uExHEk5jPH7x2P2kdnYeJseujy742xsHLERLUP90CbcwfBp\nM0yXDTVaDbpt7oZt97YBANYNsW4y4pO+LemunV0asnuX6HWV1tkRbqepwH9u0dt+HGrxK4S5T2FH\nXRTlQJ0P+u292KylzHviwe/R+64fBKScoaKDC5jpZZ3CIJZ1xeQnYyq3/TfYSx3ygUhLKe/R4bb7\n6fP2smZT5CrTPC6PuSL3llAP2Tc36LUgq9JeoH2ujTc9Fy4JCDLFdNp25nPgfpyF6TO9crtYJKaP\nyAFg8wTcv8MeMn3tuWt4vcvrNvn69mTJYcKFaa2g3KpcKLXGsHx7o0OdxVa9rM+Fz8utZWVh0ByG\nv0zUQGpkPmgxs68XS56bi7pZwE37iorbii0Vb3zkTG+u+TtcV/2p9P4ClN9bivUn8qx3Bg9+5Kaw\nKXK1Aq4Jztcd0mV7dgFeYnr04Btd30D8zHh8HMs0s9QZrk5+yBZYUpzC3pckaQ+ZRDciz5KI8VAq\nQYfmEVhWPxjf5TPXFL4Z8g1rIFWAF7tXSV65AhUKG/O46O7n7MocDN893NDMZ5i2rbw/Jga9mgdb\n7ae3wmj50OR2elRZy9FRYOJSKhJJgIkb6B30iddOWS5BZj+2nwupHW6vzqLVkgApB7Q+uJtTjof5\ntqWl4NVGHtiU3vbbFMH9UI+5i9PkVpMBsI+SVv/Jb5Vqt4FtCPllZ47UqJSNXI9YLIWaIDC8aWOM\nb0Itnu72p6c3/WrwV4ifGc9ZYuvKkmG4/+FI/DmPub39+4ew+2oGy7fo6G+654/OorW7MkiEizbh\n/tg+uw8Wj2qLl/tzZ8bUl1Izn+1dTS3CZ4fv2XdQO0fkbF5rB5IOYMjOIejQPAKDIowL0CKRFOhY\nSwMb/b3oPpmbAQA3Muh5T/LKrFTUBs9rwgQBvHkLaGLiMKBVAcc+1Hfg8WAUHqXI9S5qABXeG6Qr\n4BrVgLJNNw022je/P2VnzmeeKK+xPbugQ3D5EqewlBgjzU0rUigsjAZOpWbgyQym37gpMokIMomI\ns27nKpteoPSnZlmfZTgz9QyiQxyvYO4srwxogXc5/MoBU9MKXfZJ357Hl8ce2Hcw85gAgEqbsCwQ\nuMvMA6M/tv7IVaoqvHP6HeRVMc0GWil3hkcDGVdsikOwjn2Ld9N6NrXeiQe8pfRZ64yfbHOP5X2g\n3N7MLbNIl5XR3bxW4uLiEBsbi7Zt2yI+3oYEQk6izyXeNbQrrb1rRD2cXjQIU3vQ3Y4cD1RxnLJq\n+4sk2wXX0IHVtYre937xfZzy4Q4Vr6fVOj391tgwtFGYBcFUqCqs5jCva/QeLgt33URZjZPXmM2G\nmq97AW6bzvm1bVkH0GFTB/Ta0ouxLUhDnVO5vhrULI7EYGXZwIYhwO9z7RKZFTu9MMzL57kKc0Wu\nssGLzSXW617/5tjgZiPy1q1b46uvvkKPHuz5FfhmSMQQrOu0DptGbmJsaxrsQ6skDgDzd9zAj2eS\noapFL5YJXRq79gBcI/LSdJa+dNMKF+FqNb7qZDnEmo1WocyqMyVVKiQXMMt9mZJMUFPfevJ6EBEi\nDGrKniPanRCbDNc2nU1xbmcEAYz6xHo/HfqcIVdKOaoAJafhZFomzqSmI0D/Qozsx0zrAAA/PEn9\nm3QS0GqAGh6C52wcyjpTPN1ZLiYVIsmKrZx3RwXO3+tmirxFixaIirI/vaozhMpDObeZuwXH3crB\nigN38NMZF4XNsxBqoXgBL4Rz1LM8sZq9neNmGlVRiW2Z2TieloEj6Vl4ct8CakO17cE9cin77TPo\nkxP48ABlormYVIjSKvoIdiQZibYK5f/bO/eAqKq9739nBhgQkKuAIop4xRvkrRTEREAFR3xSKz1a\nIGY+UcaxznmzerDM19TqqSOnYxin0Derc04qniTroKZoYGCJRmIhQoIpyF3B4brfPzYzzDB7Zu+Z\n2XPd6/MPw95rz/7NmrV+s/Zv/S44svTfuPTEJY0ADmtErPJRJRIeJuKsp4A/VQCRmzXP3VG3udf1\nMH8n3s7eyFuRB7zwC8QAPAZuFgVprtyVCdPa6oBt3sDOIE55e5jRbx3LNBQVyjUluxifF90wUA52\nHtt3HtHvnNF63pSRpubApmzkbGj7Ra2/x77ZwRcm93x0dAbGLdJy8wGr9QFeKzEjaH/lZ8Ofxa6Y\n9zGpswu+TE8rtVcYi8cORNcKJutcJeRdPXhs33mk7FcPeAmmBuNfv9+GO5dADStBdTUp4Wtl6eoL\nMOVxb1Z/uoqQMu8d7I7ajQDXgP7NU9EAjyauyunmj9zaDYSHAJevf6Z/WE5ercNLh/kxz+r61EdL\nbuLRzEJMfe0bjXNme2AwwY1YMxQlJSWhvr5e43haWhpiYnQHMmijo6MDZWWGeZXI5XKt196pY67S\ncauuweD76cu9hlsoK2OvFmIMrkMXY8SvX6NxzHJ4XzukPH7150ugVBSDX2MDPAHlZ98QsAEbAujH\n7bJeQOvW4t7ZaBkRi9aRCyHq7cLd4cymDyl0l2UrvXIVAPDzzWa1/m9ra0MvJcLVq1fhyMfqlke0\nja9Web9dv/5OHSJ3VKCmtX8le+XKFcaIUDZ86+9goNPljZoatHX3y9DR1I6fKm/go5lb0TioF/H+\n8ahoq8Dg5sEoay6DuKsN4wHIPUJQqSK7Q6cPxnIR4qM4/D7zVbSELGFvq4LbzWoEAejo7OQ0vxob\nNPMQ5f74G+b79/cjH/P0Zqv2J4znPy/RuNfl2/fx441mPDDUhXc9wTTHOjq49Zc+sCry7OxsXm8I\nAFKpFKGhhnkolJWVab22sKESYEha5eI22OD7cWF9JIWsPvPNY/OnsbTmgdBQYH4SvEs+BVQU+YTf\nv6CDRJz6IkyrvNAjEmn/7Bu/Az6IYDzl0XgZHjfy6H+01AfdN2I0Vn94Hldv32U8f6iCXu2LxWI1\nGe4VDgLqgdDQCWb1L+aCtvHVcr8LAJ0fZGhAAGouqI+z8RNCNfZoOFGr6Ts/YjDo77iPe9foXPBx\nY6MxfBydwW8iBnjYiD+Cc/BchLqpmh5DgRkt6jVftTCseDuGufYC8/7MfcUooj3DnKRShHCYX743\nrgJQX+T8XCfH2HHjAdDvxcc8ld65B4Bhz2gAinst3k9vDLu5uZpUTyhwkkoxxgj9x4R1zSIj0Tb+\n5N2m3exUeDSc2DzPpPfRYGDmvMK/AjuGAZc+7zvAstkZMBlYrSXar1fFs+TXbxiDjrxdnfDknGCt\nb/9Zn81TY6VK8RpHZxZUdTSTwubVxvrlwI3nvvGrS79OXg64adk/ev4ysIlDzpXTO/oLRHPh9xL2\nNiooTHGzQ9TTIjS1m9jTyxoYGtb/2toCgvLy8hAVFYWLFy/i6aefRkpKCl9yGcQwT2bXOlO7IVIU\nBamDCGMYvDhMSrcW2/+Rp+m/XLxWpFrs1B0q3gyfPgr8JQxoa9BoZtiQpG331mVU0Y2q8mZKtqUt\nJS6/GNhjXiPVqrnr5JuXORW7AKC3q6oi8tfbTT0gqrFNt4lOX7h+EwPva4hpjBXZX4CFO9Q2nkUc\nUhfri1GKPDY2Fvn5+SgtLUVBQQH+/nd9MvPxT9xE5sK997tMHKQDCwW3Ddbh6thYiYG5Vhhhys0B\nAD0Mk+vzVZoitFWiynk1YsQ/aLbvg0kCLvk5rAnVzU5XJ800Ce/m/Yoth3/S8NBh5cEN6hGACoo+\nVL40q0fF1WN6Z0wUcZQvfspQAMCf4sYjckx/Tp2GNtM4Iwxx1V2ta9obeVirZy59vZmeBMxOVdt4\nFndxSxmgD3ZmWhHh7J81N+ZMndbWYp5L4xcDTx5jPnfiNW4mjIE1BnVR3Tfo68qAYvpH26eZ9jRY\nLOE4ISgKIqqXNvpY0K9YX1RFZUr2lJl/HZ8V3UDqp3p6gLh4AevzNI9/9WL/vZUyGNlf3qO5tbui\nUg2+PI+2sZ97t//YvTtAbr98XKocAcCsUd6o2pmAYF9XfLK+f4VaVd+u4yr9UczHpGnsOXTOlvc7\ncph0NAZOV77sdOff3dauFDkAuDCslkz92Mst7MYEiETAqLnMtSCv5AD3asFuWtEzNW3HXeBvDwG5\ntP+zuM9+O0bEsbTY56sxo2a/zZlWpA4SbI4dx9ruck0ziqsacfjHGuMD0foqyyhX5MYq8hUf0UW8\nY17T3a4gg64wtO9h4CCdzwiFfXlwSg8Db48BivufGIxdybx8xDRR4ZYMQNIg7HHguR+B11rQawK3\nW/tT5I6aivyH35pw/KdbDK15xJJjxmskECrTPN4tZ5/8Tu60nTz8D9zu9ReVuoctNzH56h4AQJj4\nOjKG/Qd/dPhC8xpVEX75CgAgFZne3MU3CtOALlrl3Vj5QSE2//MSPjhdgUvVzahrZffJB0OmSRTR\n6WcVpguRsdN1WDiw7G9AJHMBYjUKMtRNLN2dtMIu1ExsJuK4Ih9IoJY9LePp/2HxcOGeFsCkel8k\nAnw4PhEZgN0pcmcGRQ4A/33QwKAHDlhFUBhT/g4um51iMbClmp7gczax36ddJabgn0/ARaXAs6wx\nG887cC/VZk0LJi7o6134Tt6vSHz/O8S+m6881tHdg+CXcrHnZDmu1anYSqXaN8qVBjJLdlhHC/C6\nJ3DzAsNJwybAPzfONk4mFkQAXoxjf4pSYMk6BsZid4pcly/vFRMWZba4ThrJ7A+uFxFpzD8I2mCc\n1DRD0ATFBA9BDW1nrTiltb0tYKiNuuV+F177988A+j0l/jfvV8T87xmcK6/H16W3ABcd9ly+TCtM\nJLwDTEw06i1E2vL/sOBkohgC1YXV2tnBeH4Bp7Ao9R9WG8PuFDkAzBntw3g8fs9ZfgoDDMAqvKJn\nrtc8RvXoN/ldfYD/0Yzi1ZdxomoUO6dijYSuGjQDfalxz3+g1s6WNjsBoIerWx4D2QVVjMfX/P17\nbPzkR2DRTuYLM6ZD33SxnJieRP8NmQ88egB46lvD38tQRc5Q5JpPFMPrjxz2NgDAwcqijPXBLhW5\nrkekmiY+8jBrYvGtO5EISBxgv+zpgt6TXyTSkX6TG6870NkpHxSXQc3RsFwzv4UtwSUdKhtazXDj\n4pgjaBuuYWzlJ/RrPn/4Fu0C1v2n324bOA2Y+6Lua7RhoCKXMijywooGfHCmAt9e5VaijVEchmOL\nJgWwXnfnrvlyMvGNXSpybXZyAGjr5H+TzSps5ADwwBr1ElO3Lxvmr714Fx3EwJTQiQOzJfQKfJq4\nHMedtuBVZLFcYRsY68b611PlmLOTxby04mONQ16tdM4aXh9gHJ2BEQOyIw5id9djgk/TyqoPz2Pn\n8atIzi5muEI/VLvrg7XTtbZTIO8yb9F2PrFLRf7WyqlImDKUMWS+sKIB569rRigai9VYCaJf7X8t\nbzFcsNmpwIu/GiVKoKgBoWLTpSY1N+MD3OHh4oh1EaOwNGyY3te//R8O/Tmwqow5GR9v4IWGKUCm\nCFk+4LKwihjDbH61VexSkfu5O+P9P0xjDJnfduwKHt+nWWzYbpj0X/y9l8TEudVtDCcHMS5tjUO6\nbCL2rHqA1/cuuFaPb3/RbU4QMVaB4hHvUUB6E7AgHVj+d+aIUwUj+j1ODF2Rm5usJ2YoX+9bO0Pj\n/MxgL3OKwyt2qcgFjYOUtn/24Xj/jo7GLOhbJFhgvL0yjL0RR1ZnfY/kj1nMCeZ47BOLgbkvAFNW\nMMcmLNsLrDkMJB9XHmr3nWp6ufRAm/NBjEoKD+bEZyYTyeQIXpFXN7YbncvC6qqL6PBJ1guxmN6A\nG5gGIFBzNSNEVkwfjiPPzOH1Pf99SVeErJntd719eWOmrATc/IHYbUD4amDMAvpHJWAqsORdoyIV\nuWxCGoqu3z3VcyunDwegWVjblhCsIm9u78Sl6mbM3f0tPvneeDuu1djIASBsNXO9RkMZNZc22cS+\nQT9yr/occPY06i2bKVeehLMsD4zg93F802c6ElaZe5ApUhl7jqT3SyIGpNfdeBaYsc6oW+jahKzl\nEhHLABd9rFrl6fFZdO4TE6dkMil2r8gLXorGjv/SrHMZvi0Pv/QVRCiu1CxGoQ9W9/2Lxdr9kg1l\nZTYQsYl+5HYbor12KAfeeug8pnV+yN7QxmAqRu3jqr95KqnzT0js2IZvetSffMzud6+o5SnhHubO\nJ7PfPGnU9bpcgtXSEve9tLonaz2we0U+zNMFE4YyJ4b68yE62VSP0aYVK4jsHIhYdwpPo3nsE9qG\nuvqfnHJdH+t5SPna1hJmcSVqHF3tx9vVCRU74vFR0gz8549Rer/P6d4HcIkag0pKPbeL0blW9EWx\niWliRe7bl588db56LhJDY/d0Tef0JRNxcP2DEIlE2DhvNHJSIzAl0AOrZgXhvcfCtV9o5egRj227\nsP3SmiLa0+5x8aSVOQCUHAQar/efcx8K3FVPUlbSOxrHeh5CI+WOGbAyUxRPdPdlO3x2/hhIxCJE\nT2DOj8+VHkv/3EVsAtrqgFlPm/Q2R5+NxC+3W3GpWjMgiqIoXp9E1kWOUr5+afEE5es3H7GuDVt9\nsfsVOUCnINWFsclyrCJEn4mgh1Ab9qzp75P4N+CJo/3/P6deZOJf3VH4pCcGX/fOQhEVivtdpq3Y\nZCnuddCfy83cDmlTAAASgUlEQVSZeX00sMQZGz0DpqfIRH7XWnH2AJZm8Ld5roVATxdET/Bn9CSp\nuKN//hOrnY8mRBCKfHKgB95aof0Xt5ei8O3VOpy6WmvwPaxyhZnyDRonrDH9faRuQMjD/YmfnFyB\nF8sRKv8IofKP8KfujZCj3yf9VrNhm1jWzsRhtPfGeH91U15K3ypQ6qjfdOsdMD17nexjg1gbTA/O\nse/mI/1oqUGLLauckyZCEIocAFbOCNJ67kRZHZKzi7EuW3s2P13Y8B4Jv6R+D2ykK77DzQ/34Yz7\n0Azzl3fb54o8eU4wTmyeh7AgdY+e/1kyEVU7E9DZVwR8hPcgTu/XQw1YkTvatyJngqKAA4W/4Yff\nmvS6RmgYpch37dqFRYsWQSaTITU1Fa2tpksTa+3Y5/adnrj5cfJmkXf12FV/rZw+HF6DHCEW6y7A\nrVDkXLP+7e9ZqLZJbO/oMokYkvHWfkYYO0Yp8oiICBw7dgxffvklgoODkZmZyZdcJmH++CGsbfQu\nngsrdD+0cmpbO9BlRxvMb60Mw8X0ONZ2nX2boUxZ/5hohSue7dqE73snYF93grA00wCsqmybFWKU\nIo+MjISDA72xEx4ejtu3b/MilKn4OHkWaz6FVrn+ihwQ9BzTSoaWfCSV9W1mlsQ66OjST5EreKwz\nHTu6OZbis2F0mUR0FYzRhpDmJG/uh4cOHcLixYs5te3o6EBZWZlB95HL5QZfCwDy+7rzkVdUXMO9\nWv38ZpuamkCBMkouU2FsfxnDGCdg1vBBKKphrpIutP56YqorMgrvw8uxP5XymjAv/Ku0GX+VBeKp\nnBqd118rL0eDi/V5DPPVZ3fqtQfm/VZVBce73JK4XW+g84p3dnUJZoyxjoqkpCTU12tWjUlLS0NM\nTAwAYO/evZBIJFi6dCmnm0qlUoSGhuopKk1ZWZnB1wLA3oCR2P31Lxjm6YJ9+RUaQQejR49BEMfN\nKAWeZd0QVbcbJZepMLa/jCVr1BgUXGtATy+F1E/V66YKrb9CQ4E/LOirGl9Bu9VtXzUH2xUNWBT5\nzLBJcDRReTRj4KvP0obL8ekl5mjO0SEhCB3GLadLd00LgJtwcnK0uzGm7QeAVZFnZ2frPH/48GGc\nPn0a2dnZNlG6a7jXIGUK0gOFVWjvVPegMGzH237svXwz2NkRiybTiZGmDp+PubvpkmKDHK1/rJgK\nxSd/Y9lkne3CgjxxqbpZ+b81KnE+8XN3RtYTM5CZX4HiKnUvlfg9Z1GxI56TiYX4ketJfn4+srKy\nsHfvXri4uPAlk9kI9NSU2dBBIFy1xB3VmohhAbY3XniHZdWwcJJK2lWBDLCYif6YNYq5UtHH31Xq\n9V4C6TIARiryN954A21tbUhOTkZiYiLS09P5ksssDHHXtLkZ4kwhRL9VQ/Bw6d97EHKXcX1w/e95\no3F+ywIAhm322So9WupUbM8tw6+1d1mvF+J8NGrnJC8vjy85LEJ4kCcKKtTLvnX19OJeRzfcpNy7\nxiqTZlkhg5wckLl2Op7+fz+wNxYAbPpGJBLBf7AUax4agene/NeatVb8GBZYCqob2zHOnzkJngJF\nv9qCqZcv7NvoxsLm2HEax944dgWTt34Dub75QIQzZoxC0U1CXDUpUNi6Byqa12QTNdqKRCJsXzYF\nE4YYVgjbFnlyTjDeXz2N8VzKfsOir+0dQStyB4bNo7PltIfOnpPlykg8NoS4uWIoCuUl5B77Y+w4\nJM0JVlamUfDknGBceDUGHi6OSF+iqdSFgkQsQsLUoewNtWDLecUNxfqcUs1M1LghyP9Vs67l305X\nYLCLIzbOG81wlSZkQc6NWcHeGOrhjNVTjaswZMsMdnbEa0snaRwXiUTwdZPi0lb2KFECO0Kak4Je\nkQPA/1k0Xuu59g5udkkBLgAMxmOQIwq3LMB4AZkKCIbx9sowjPLVTBR2nSW1rRCno+AV+aRhHlrP\nfVXKPeWAgPZVCASzsGL6cOx8RDMJ2483mhlaayKkOSl4RQ4AT89jLlV2rY5bUnshrgAIBHPQxJDE\n7nKNbkUuxCdkosgBeA3Sv0DuQOwpLSuBYC1MYgjLP1D4G6drhTQjiSIHsC5iFHsjAOv3F+Pg95qD\nSIgrAALBHAR5D8JfHtcsivz99QaG1gqENyGJIged6N9rEHvGwxNldXjlSKkZJCIQCAoSwwM1jj22\n77wFJLFeiCLvQ1thgMhdp/Bh/nXGcwqIHzmBYD0I8QmZKHIWapru4/9+xZI7mBLWDjmBYG7+rMNN\nWBtCmpNEkTMwJVDTJZEtZF9AY4ZAMDsxof4ax3q0ZLgT4IKcKHIm3nk0TOPYUwe053gQ4sAhEMzJ\nWIai1pO2fq3zGiEtrogiZ8DfXTPqUJGDhUAgmB+RSASnAbmR5F10ptKBEBu5wHl4/BAAdBi5Lgoq\n6jHm5a9Qd1cOQJhJeggEc3PwqQc1jk3e+g2qG5lrwgrJSE4UuQofrJmO71+mE/m/yRAarOCtb35B\ndy+FwooGPHXgAooqG4U0ZggEizAzmLly0CcDYjuEuLASfPZDVZwdJXB2lAAAHHRUZLnYl+vh+c9L\nlMeGupOuJBBMzfJpw3HoR/Ui1U4SMWpb5ThZVodg30GQ9K2qhLS2ItpHC/pWFxHSoCEQLMU7j4bB\na5Ajss711+/MOHUNGaeuKf//fMNDlhDNohhlWnnvvfcgk8mQmJiIdevWoba2li+5LA5RzASCdfLk\nnGBO7YQ0h41S5OvXr8eXX36Jo0eP4uGHH8b777/Pl1wWR1+bt5DqAxIIlsRBonuuCdBEbpwid3Pr\n9+28f/++XSkzPwYXRF10cCwLRyAQjEPComcUgUJ2pI5YMdpG/u677yInJwfu7u44cOAAHzJZBZFj\nfZGdPBNHS37HkYs3WdvXt+tZrJlAIBiEWIcjAgD2lBp2iIhi8dVJSkpCfb1mMExaWhpiYmKU/2dm\nZqKjowObNm1ivWlJSQmkUqkB4gJyuRzOzuYrE9be1Yv1h6vRJGdX1MefZC5QYUnM3V9cIXLph7XK\nBZhfthZ5Dx7/B3tO8jfm+2DGCO0VwCyFsf0VGhqqcYx1RZ6dnc3pzWUyGTZs2MBJkUulUkZhuFBW\nVmbwtYZyfuIEjH9VdzgwwNzBlsYS/cUFIpd+WKtcgPllu3O3AwC7IndycrLKPjOmv8rKmJ82jLKR\nV1VVKV+fPHkSISHWtyLlA6mDBE9H2ednIxBsDW9XJ0SOoU2fuhCQidw4G/k777yDyspKiEQiBAYG\n4vXXX+dLLqtj1awRyGTJS04gEEyPRCzCJ+sfFGQEpzaMUuQZGRl8yWH1KCI+CQSCdcDmJSckrxWS\na4UjAR7OyFj1gKXFIBAIDPi6GeY8YS8QRa4HsrBhlhaBQCAwcOHVGIajwlmSE0VOIBBsmsmBgwEA\nx56LtLAkloMkzTKQ0KGDUXar1dJiEAiCpuiVBXCT0mpsMkOJRqFAVuQGcvz5uZg1ijk/MoFAMA9+\n7s4Y5MS8Hu3SUtPTHiGKXE/eXz0NiyYFAABGD3G1sDQEAkEbnQLKf0QUuZ4kTB2KD9ZOBwBsie+P\nzto4y8dSIhEIBAY6e8iKnMCBwc6OSOrLjSygpzgCwSYgphUCZ56ZPxrzxw9B7Bg39sYEAsGkxIT6\nK193dhNFTuCIn7szPk6eBTcnEvlJIFiav65+AAlThgIAhGMhJ+6HBALBjnB2lGDXiqkY7uWCmBFk\nRU4gEAg2iZvUAVviQ+HEUhLOniCKnEAgEGwcosgJBALBxiGKnEAgEGwcosgJBALBxiGKnEAgEGwc\nosgJBALBxiGKnEAgEGwcosgJBALBxhFRFihFXVJSAqlU2DX2CAQCQV86OjoQHh6ucdwiipxAIBAI\n/EFMKwQCgWDjEEVOIBAINg5R5AQCgWDjEEVOIBAINg5R5AQCgWDj2JQiz8/Px8KFCxEbG4t9+/aZ\n7b63bt3C2rVrER8fj4SEBOzfvx8AkJGRgblz5yIxMRGJiYk4c+aM8prMzEzExsZi4cKFOHv2rEnl\ni46OhkwmQ2JiIh555BEAQHNzM5KTkxEXF4fk5GS0tLQAACiKwvbt2xEbGwuZTIaff/7ZJDJdv35d\n2S+JiYmYNm0asrOzLdJnW7ZswezZs7FkyRLlMUP658iRI4iLi0NcXByOHDliErl27dqFRYsWQSaT\nITU1Fa2trQCAmpoaTJ06Vdlv6enpymtKS0shk8kQGxuL7du3w1hHNCa5DPne+J6vTHKlpaUpZYqO\njkZiYiIA8/aXNv1g1jFG2Qjd3d3UggULqBs3blAdHR2UTCajysvLzXLv2tpaqrS0lKIoirp79y4V\nFxdHlZeXU3v27KGysrI02peXl1MymYzq6Oigbty4QS1YsIDq7u42mXzz58+nGhoa1I7t2rWLyszM\npCiKojIzM6ndu3dTFEVRp0+fplJSUqje3l7q4sWL1IoVK0wml4Lu7m5qzpw5VE1NjUX6rKioiCot\nLaUSEhKUx/Ttn6amJio6OppqamqimpubqejoaKq5uZl3uc6ePUt1dXVRFEVRu3fvVspVXV2t1k6V\n5cuXUxcvXqR6e3uplJQU6vTp07zLpe/3Zor5yiSXKm+++SaVkZFBUZR5+0ubfjDnGLOZFfnly5cx\ncuRIBAUFwcnJCQkJCTh58qRZ7u3n54dJkyYBANzc3BASEoLa2lqt7U+ePImEhAQ4OTkhKCgII0eO\nxOXLl80iq6oMy5YtAwAsW7YMJ06cUDsuEokQHh6O1tZW1NXVmVSWwsJCBAUFITAwUKe8puqzmTNn\nwsPDQ+N++vTPuXPnEBERAU9PT3h4eCAiIsLopwYmuSIjI+HgQFdgDA8Px+3bt3W+R11dHe7du4fw\n8HCIRCIsW7bM6HnBJJc2tH1vppivuuSiKArHjx9XW60zYYr+0qYfzDnGbEaR19bWIiAgQPm/v7+/\nTmVqKmpqalBWVoawsDAAwMGDByGTybBlyxblo5MlZE1JScEjjzyCf/zjHwCAhoYG+Pn5AQCGDBmC\nhoYGRtkCAgJMLltubq7aBLOGPtO3fyzxnR46dAhRUVHK/2tqarBs2TKsWbMGFy5c0CmvKdDnezN3\nf124cAE+Pj4IDg5WHrNEf6nqB3OOMZtR5NZAW1sbNm3ahJdffhlubm5YtWoV8vLycPToUfj5+WHn\nzp0Wkeuzzz7DkSNH8OGHH+LgwYMoLi5WOy8SiSASWaZ+YWdnJ06dOoVFixYBgNX0mSqW7B9t7N27\nFxKJBEuXLgVAr/q+/fZb5OTk4KWXXsILL7yAe/fumU0ea/zeVDl27JjaYsES/TVQP6hi6jFmM4rc\n399f7TGztrYW/v7+Zrt/V1cXNm3aBJlMhri4OACAr68vJBIJxGIxVq5ciZ9++skisire28fHB7Gx\nsbh8+TJ8fHyUJpO6ujp4e3szynb79m2Typafn49JkybB19cXgPX0mb79Y075Dh8+jNOnT+Ptt99W\nTn4nJyd4eXkBACZPnowRI0agsrLSbN+nvt+bOfuru7sbeXl5iI+PVx4zd38x6QdzjjGbUeRTpkxB\nVVUVqqur0dnZidzcXERHR5vl3hRF4ZVXXkFISAiSk5OVx1VtyydOnMDYsWMB0F4kubm56OzsRHV1\nNaqqqjB16lSTyNbe3q5cabS3t+O7777D2LFjER0djZycHABATk4OFixYoJQtJycHFEWhpKQE7u7u\nysc/U5Cbm4uEhATl/9bQZ4r76dM/kZGROHfuHFpaWtDS0oJz584hMjKSd7ny8/ORlZWFvXv3wsXF\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"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"_DJwD7C2ye3h","colab_type":"code","outputId":"2dde6b29-5d33-48a2-e3eb-88d1838fb384","executionInfo":{"status":"ok","timestamp":1579185250483,"user_tz":-60,"elapsed":915,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":68}},"source":["correlate(S, C)"],"execution_count":28,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[-0.44786591, 0.8327433 , 0.32550686],\n"," [-0.81976793, -0.11156214, -0.56172452],\n"," [-0.38603091, -0.52582096, 0.75795281]])"]},"metadata":{"tags":[]},"execution_count":28}]},{"cell_type":"code","metadata":{"id":"t20h6WQQbT98","colab_type":"code","outputId":"447d01b6-2426-4812-f773-0d8531aecd55","executionInfo":{"status":"ok","timestamp":1579185252182,"user_tz":-60,"elapsed":1095,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":282}},"source":["# Lets compare our sources to stnadard gaussian\n","\n","for i, sig in enumerate(S):\n"," plt.hist(sig, bins=50, density=True, histtype='step', label=f'S{i}')\n","\n","Xrng = np.linspace(plt.xlim()[0], plt.xlim()[1], 100)\n","plt.plot(Xrng, sstats.norm.pdf(Xrng), label='N(0,1)')\n","\n","plt.legend()"],"execution_count":29,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":29},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXQAAAD4CAYAAAD8Zh1EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0ImIRIKBTkQkEgx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TTsfS5bdjZHp6t05oikF3L6LR6XR2l3FFl4kjupq0ylmOdhFKJBKo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\nRIKBTkQkEv8f4GfSU5rzy9oAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"GBNEr0ghoPf5","colab_type":"code","colab":{}},"source":["def sigmoid(x):\n"," \"\"\"A numerically stable sigmoid.\"\"\"\n"," ret = np.empty_like(x)\n"," ret[x>=0] = 1 / (1 + np.exp(-x[x>=0]))\n"," ret[x<0] = 1 - 1 / (1 + np.exp(x[x<0]))\n"," return ret"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"IbrhCawMKygY","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":298},"outputId":"67abf559-1d5e-4200-c8ca-a0bc724c6dd3","executionInfo":{"status":"ok","timestamp":1579185285354,"user_tz":-60,"elapsed":1664,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}}},"source":["# Plot the CDF in the tails of some distributions.\n","# The gaussian one grows faster than others - it has less points\n","# in the tails.\n","\n","rx = np.linspace(7, 8, 100)\n","plt.title('A look at the tails of common CDFs')\n","plt.semilogy(rx, sstats.norm.cdf(rx), label='Gauss')\n","plt.plot(rx, sstats.laplace.cdf(rx), label='Laplace')\n","#plt.plot(rx, sstats.cauchy.cdf(rx), label='Cauchy')\n","plt.plot(rx, sigmoid(rx), label='Sigmoid')\n","plt.legend()"],"execution_count":31,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{"tags":[]},"execution_count":31},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAaMAAAEICAYAAADyTpvZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nm0mb6wZpc91QWGB+X3/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rwRNNn8C+vr2ea1o1JIzEvbl96e18mBo+sb9BQRYYGKmdDp6a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\nnZqRiIjY7g8bBgdrw0h8CQAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"f594LkDWlybi","colab_type":"code","colab":{}},"source":["def ica_loss(W, X, verbose=False):\n"," D, N = X.shape\n"," W = W.reshape(D, D)\n"," wx = W @ X\n","\n"," svd_U, svd_S, svd_VH = np.linalg.svd(W)\n"," det_W = np.prod(svd_S)\n"," inv_WT = svd_U / svd_S @ svd_VH \n","\n"," log_det_W = np.log(np.abs(det_W))\n","\n"," g_wx = sigmoid(wx)\n"," dg_wx = g_wx * (1.0 - g_wx)\n","\n"," loss = np.log(dg_wx + 1e-100).sum() / N + log_det_W\n"," grad = (1.0 - 2.0 * g_wx) @ X.T / N + inv_WT\n"," if verbose:\n"," print(f\"ICA loss: {-loss}\")\n"," return -loss, -grad.reshape(-1)"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"4YRNvBJ9lrKA","colab_type":"code","outputId":"25ebf1e4-5e83-4811-dd3d-11a732ee0690","executionInfo":{"status":"ok","timestamp":1579185288896,"user_tz":-60,"elapsed":743,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":51}},"source":["# Check the gradient\n","print(\n"," sopt.check_grad(lambda x: ica_loss(x, C)[0], lambda x: ica_loss(x, C)[1], \n"," np.eye(D, D).reshape(-1)))\n","\n","print(\n"," sopt.check_grad(lambda x: ica_loss(x, C)[0], lambda x: ica_loss(x, C)[1], \n"," np.random.rand(D, D).reshape(-1)))"],"execution_count":33,"outputs":[{"output_type":"stream","text":["8.806461524193782e-08\n","1.3656001841772294e-07\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"9r1fpc0wltyx","colab_type":"code","outputId":"d4500cab-0a8e-4b98-ee36-a51813ba2d7f","executionInfo":{"status":"ok","timestamp":1579185290523,"user_tz":-60,"elapsed":1819,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":1000}},"source":["def ica(X, whiten=False):\n"," X = X - X.mean(axis=1, keepdims=True)\n","\n"," if whiten:\n"," S = 1.0/X.shape[1] * X.dot(X.T)\n"," L, V = np.linalg.eig(S)\n"," Z = V.dot(np.diag(1.0/(np.sqrt(L)+1e-20))).dot(V.T)\n"," X = Z @ X\n","\n"," ret = sopt.fmin_l_bfgs_b(lambda w: ica_loss(w, X, True),\n"," np.eye(X.shape[0]).ravel(),\n"," iprint=1, factr=1e4, maxls=1000)\n"," print(\"Opt Ret:\", ret)\n","\n"," W = ret[0].reshape(D, D)\n","\n"," IC = W @ X\n"," return IC\n","\n","IC = ica(X, whiten=False)\n","\n","for i, sig in enumerate(IC):\n"," plt.plot(sig, label=f'IC{i}')\n","plt.legend()\n","\n","correlate(S, IC)"],"execution_count":34,"outputs":[{"output_type":"stream","text":["ICA loss: 5.044821021909626\n","ICA loss: 4.368303978417805\n","ICA loss: 4.188329060414725\n","ICA loss: 4.0755323696666785\n","ICA loss: 4.047360062966131\n","ICA loss: 4.04123409424049\n","ICA loss: 4.038743073418558\n","ICA loss: 4.036667607463991\n","ICA loss: 4.028646165964829\n","ICA loss: 4.027680268881386\n","ICA loss: 4.024479526414386\n","ICA loss: 4.023505288353155\n","ICA loss: 4.021757203847429\n","ICA loss: 4.017854094209127\n","ICA loss: 4.0128685490353275\n","ICA loss: 4.011464237546696\n","ICA loss: 4.011274107434779\n","ICA loss: 4.0059474270508595\n","ICA loss: 4.005536448714604\n","ICA loss: 4.000783562993103\n","ICA loss: 3.9960913059710097\n","ICA loss: 3.991838556224655\n","ICA loss: 3.9909068232067715\n","ICA loss: 3.990774338770388\n","ICA loss: 3.990735477049695\n","ICA loss: 3.9907241812193077\n","ICA loss: 3.9906885119767654\n","ICA loss: 3.9906751947676753\n","ICA loss: 3.9906551222469346\n","ICA loss: 3.9906086887504957\n","ICA loss: 3.9905542214374883\n","ICA loss: 3.990500712694145\n","ICA loss: 3.9904114104403936\n","ICA loss: 3.9903670713362125\n","ICA loss: 3.9903375987970957\n","ICA loss: 3.9903200805574897\n","ICA loss: 3.9903140782820357\n","ICA loss: 3.990309227408673\n","ICA loss: 3.990305168224481\n","ICA loss: 3.9902978254454884\n","ICA loss: 3.9902885531314825\n","ICA loss: 3.990260647629574\n","ICA loss: 4.073610944462762\n","ICA loss: 3.9902551881030517\n","ICA loss: 3.9902519304237125\n","ICA loss: 3.9902272023913126\n","ICA loss: 3.990176010791477\n","ICA loss: 3.990133558782606\n","ICA loss: 3.9901739463920345\n","ICA loss: 3.9900853438197585\n","ICA loss: 3.9900736649849424\n","ICA loss: 3.990055431659223\n","ICA loss: 3.990043188893005\n","ICA loss: 3.990019889238737\n","ICA loss: 3.9899956930591745\n","ICA loss: 3.990018654079736\n","ICA loss: 3.98999154400967\n","ICA loss: 3.989988216218673\n","ICA loss: 3.9899882455473312\n","ICA loss: 3.9899875963748435\n","ICA loss: 3.989987120671761\n","ICA loss: 3.989986677189147\n","ICA loss: 3.9899864316174747\n","ICA loss: 3.989986313516376\n","ICA loss: 3.9899862781928865\n","ICA loss: 3.989986276494255\n","ICA loss: 3.989986275550084\n","Opt Ret: (array([ 2.13458688, -1.35239576, 0.33314553, -0.5834473 , 1.31785681,\n"," 0.73712277, -2.34790033, 0.27011018, 2.06242467]), 3.989986275550084, {'grad': array([ 5.08169808e-07, -4.91822981e-06, 6.36455150e-06, -5.70427951e-07,\n"," 1.80790445e-06, -5.47413676e-06, -1.55314834e-07, -7.32346112e-06,\n"," 1.00107803e-07]), 'task': b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL', 'funcalls': 67, 'nit': 58, 'warnflag': 0})\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/plain":["array([[ 0.60064823, 0.39009747, 0.70236654],\n"," [ 0.50472791, 0.59003189, -0.62416759],\n"," [-0.69195231, 0.69790315, 0.19077538]])"]},"metadata":{"tags":[]},"execution_count":34},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXIAAAD4CAYAAADxeG0DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nstVpBVt5p4QpHafg4KSD6FFf+wwrvvYg1TEGkXaw0UC3j7bLjPb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bij+OXrPvLFPFSRmA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VkrGr2Mx6RVa5doZfL/G3mlmLPmLAAgt1i7EiK6MGgbaEqH/7DciY5KPDz642GpCKSZgmOj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\ncMufOQAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"Jk-WehLos7h7","colab_type":"code","outputId":"77ddeb65-ef4f-4022-83d2-218f8ece9f28","executionInfo":{"status":"ok","timestamp":1579185306087,"user_tz":-60,"elapsed":1648,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":316}},"source":["# Try sklearn's ICA\n","\n","FIC = decomposition.FastICA().fit_transform(S.T).T\n","\n","for i, sig in enumerate(FIC):\n"," plt.plot(sig, label=f'FIC{i}')\n","plt.legend()\n","\n","correlate(S, FIC)"],"execution_count":35,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[ 0.05363327, 0.99676026, 0.05993717],\n"," [-0.01326115, 0.03231363, 0.9993898 ],\n"," [ 0.99693665, -0.06985122, -0.035187 ]])"]},"metadata":{"tags":[]},"execution_count":35},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYIAAAD4CAYAAADhNOGaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0\ndHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOydd3gU1dfHv1uSTQ9JCEmA0BFCExAU\nAaUZEBCRZldAkZ8Nwd5eUbEroiA2QBFFEFRQIQpSlCJFeiihE0jvlSRb5/1jdndmdqeX3cXsx8eH\nycydmbMzd+655RQdQRAEggQJEiRIo0XvbwGCBAkSJIh/CSqCIEGCBGnkBBVBkCBBgjRygoogSJAg\nQRo5QUUQJEiQII0co78FkMPhw4dhMplknWs2m2WfqyVBuaQRlEsaQbmk8V+Vy2w2o2fPnl77r0hF\nYDKZkJaWJuvcrKws2edqSVAuaQTlkkZQLmn8V+XKyspi3R+cGgoSJEiQRk5QEQQJEiRIIyeoCIIE\nCRKkkRNUBEGCBAnSyAkqgiBBggRp5AQVQZAgQYI0coKKIEiQIEEaOUFFECRIkCA08ivr8W9unb/F\n8ClBReBnimsa0OaFDLyyucDfogQJEgTAyPk78OqWQn+L4VOCisDPPP79IQDA/rx6P0sSJEgQgiBQ\nVW/1txg+J6gI/My/2eX+FiFIkCBOVv6b428R/IIqimD79u0YMWIE0tPTsWjRIq/jFosFs2bNQnp6\nOiZNmoTc3FzG8fz8fPTq1QtfffWVGuIECRIkiCwOXqrwtwh+QbEisNvtmDNnDpYsWYKMjAysX78e\nZ8+eZZT58ccfERMTg02bNmHKlCmYO3cu4/i7776LG264QakoQYIECaIIq93hbxH8gmJFkJmZidat\nWyM1NRWhoaEYPXo0tmzZwiizdetWjBs3DgAwYsQI7N69GwRBAAA2b96MFi1aoGPHjkpFueJwPYMg\nVz5tXshAmxcysCO71t+iBFHAr4fz/S2CX1AchrqoqAjJycnuv5OSkpCZmelVJiUlhbyh0Yjo6GhU\nVFTAZDJh8eLF+Prrr/H111+LvqfZbOYMpypEQ0OD7HPVxmJnKoJAkYtOID0vOoEq19vbinFDm8CT\nK1CfV6DKBTSu79Gv+QgWLlyIyZMnIzIyUtJ5/5V8BEXVDQAuuP8OFLnoBNLzohN4cp13bwWWXCSB\n97xIAk+u//Z75FIiihVBUlISCgspm9uioiIkJSV5lSkoKEBycjJsNhtqamoQFxeHI0eOYOPGjZg7\ndy6qq6uh1+thMplw7733KhXrimD0gp3+FiFII6CwqgFVDXZ/ixEkgFGsCLp3747s7Gzk5OQgKSkJ\nGRkZ+PDDDxllhg4dirVr16JXr17YuHEj+vXrB51OhxUrVrjLfPLJJ4iIiGg0SgAASmvN/hYhiAo4\nHIG91tPvnS1IjjJiT69u/hYlSICieLHYaDRi9uzZmDZtGkaNGoWRI0eiY8eOmD9/vnvReOLEiais\nrER6ejqWLl2KZ555RrHg/zWSo67IrKF+4eudF3CqtMHfYrixB/Civ8sgobDW5mdJvCmtNeNihcXf\nYri5bKaekbGReVip0voMGjQIgwYNYuybOXOme9tkMmHBggW815gxY4YaolyxhBh0/hbhioAgCMxZ\nfwIAcNsNvfwsDYk9gEcEVnvgytbnzc0AgOz+V/tZEpITBdUAgFbxEcivDMYaCuIHWsSE+FsEL2x2\nBxwB1tu9WBZ4H2gtrScZYwqsT8psC64NiGXNwTwAQOuECD9L4nsCq9Y2YuLDDf4WwYsOL/+B5zYE\nTjC8ouoGDJ77t7/F8OLZH4+4t5vTFfreL4HVk/0gEcU/Z0v9ev8rhQMXK7Dy30sAgPjIUD9L4023\nVzeizQsZuGzRxuEtqAj8xNpDucKFAoDjxYEzF3/wYgC5/+cfAl6LBSouYl82h1x/PAec+AWw+W8e\n/OHlB/12bz7yKgMryOL3ey+6t5s3CUeADYTdo87H12nTbgQVgR8w2+x4ctUR4YJ+pN4SeFMKW08W\nu7ejQv1cdQ8sI/89uwmJ0Sb3bncD4joOAIsG+0wsOr8fDZzRnCef/31WuJAPqWkgG9qrkqKgD+Dl\nOq0W/YOKwA8s2XFBuJCfWfjXGX+L4MWPB6jeUOdEE09JjbA2AL8+BtSWuHdVN9jQPpF0iEyJDcNV\n9rPA6T+BdU9Q5xUfB6p93yg/9xPl4d8sMrCs0pbvueRvERhsOlEEADAZA2+K1hcEVu1oJFR7xDtv\nEhF4C8U/NNJwvLwcXwMcWg447EBIOADg/Q0nsdmeCgDomBSNTy49D6xgOXdeZ+CVMsDgu08uItTg\nnlIIDVqlcXIsr8q9HRqAdqNVddrnRwi8X90IOJJb6d7eMOsGGPWB9xrKLgeOfTcA3L14j79FAHTO\n3qLDDrZJ5Mnl/CbSIHw73RbAVq1oFu2HER0Hpwpr3NsGHakwA+nRXT3nT83vEXgt0H+cOosNe85T\nyWg6J8cAcFa8giNA8Un/CBbg7DpX5m8RAL1LEbDP0w6rXcd/vo9XIAPVdPSp1YdRXBM4XvVGj9GS\nDrS/T28Evhvv83fna4JTQz7GYvM2/9K56t2XN5L/vlblVcaX0MNjp8YG1rRVu8RIRIeFAA4/NCQ8\niqBlXDggaAjju8Zkw7FC9wKob+8sjMteHwCahPl/Tn7mD4fd29e2jWceXHE7+e/JDCDtFh9K5VuC\nIwIfw6YIAEDv42kDLs6V1GIIzVY/KcBCXzSN8uOUgt75LAjqHRLO3mNaSozw+YTvkp48vPyAz+71\nX+LJ9KvYD/z8IGCuBT7tB5z/22fyNFh90y4EFYGP+ftUidc+HeHApzm3+UEab6Yu3YdsmvduSIDZ\n0v17wY85nl2KwGGDZx/bfFnEKM6HiiBQySkPPM9wF3PGdoWBq77bGoCqHKAkC/h2LOlD8uf/kcca\nqgHLZU1kGjV/B+PvxEhtRlBBReALHA6gIhsA8O2ebPfuu65tBQDQB9DA3XPEEmjWJq4P1edTtjYz\nUHSc3LZTVhyj9XvwgnEF7ow8JHyNoCLA8fxqf4vASdfmsQCAuPqLGKsXESJ+92fkv++mAh911USm\n86XaKBhPAmvcf6VzfhtgCAVaX8/cv+1dYNt7MD92CB2bReNYXjVeHpWGh25sBwDQBZAiKKwOHE9i\nNmLCjPCLavr9WeCg00ns3BaUxl2NpgD6G06gP06A6D6SntOEnaAiQFyAmUq/t4EyznBFH70/816E\nhJgBx1vMwhf/4b5Qvfpe74dzKr32adUBCo4I1OTbW4GlNzP3XS5z9xymf7EBaw+RC2V3XdfKXSSQ\nRgSBRoPVjku0qaqIUB/2XRwOoME55ZO7n3GoaQXTM1x36g/h6/loGHMpAAPzuXDVfxeEn+v+53+f\nc283bxIGAAhxGSLYPFb/M572OFtb2W/7lKl4Jl3TUrN7BUcEWrHhJeDAUiAkArCQdsoVdZQVR3gI\nNdd3HRHY4Sb8ybAPtzHi0tzZNxVbaKEmNGXTK8DuhcBL+cK9+ZPrha/nI0VQdplpUdWuaSTMlsDw\nC/lhX2A6KiZEhqJDs2jmzvfa8p/k4/lJnYZD4eCIQAscDmDPp4C1Dqijoj+aQM0tG8rPAWZSQcyz\nv8M8P/cAUOr/WCwmo//HKp7ByR4f2sF3Nz/wDfmv3QpVen8+mhraeYasc8+O6IRzb49CtxaxPrmv\nVAZ3SvS3CG66NGex+rILmSj7++tQj6Ai0IKs31h3h+toFWvhNaT1ARtLhpLHfQzh0cOJCQ+s+dwl\n9/eBzpeen1bnFIvNrE7vz6z9QmmD1Y4PN50GAAy6KpG2uB5YjVZSjIn0vQgQ3pvQg9zwmAKURf4h\naiFZJY6/PgKAdvU+qAi0wMo+RxsOcnje1dX7yAssW+/X151g/B1lCqyZw96t4wBoO0Rm4OrBb3wJ\nqnyCn/RWfg0B6KFBwkP976xF58U1VBC8d8eTDa8/9dP5kloM1B/FcP0+NG/iVEqH2QJF8bD/a+99\niwYDG19ULJ/LkrVlXDgiTUamx7PKBBWBFvz6OOvuMJAjgkh6A2uuYS0LAPi4B2mvbPVN7PZvdmUD\nAO65rhW+vO8aVRvc7su6Y1HmIkXX8FnCkKWjyefuougYUHraN/dWyG+H893bkc6FdZ8pTgFW0gIZ\nOghC04ZNEEsdWn3eDstD38Gi0I+o/VIf1von1ZWLRmo8mSlN74MXGFQEamC3Mh1KOLyEY3R1SNNd\nxMe396B2vsNjCVDpTJaRu08FIcXTLDoMI7omq37dTw59ovo1NeGihw15yZUT/+mbXVSI8whTYI0I\n6Ph9pqryEoxsYUp0gdEkVtZZ3GlZI30wMg+ssf+Vyje3ADnC0THfCPmG3LAM1lIaxVjt5JSIr/pr\n+wr3ITo0Gp3jO7PKwYbfG5IA42LZZQz64G+kxIa590WEBK4iUDMXdpW5CnqdHtGh0cKFXXCGdAmM\n4dOWLMoy7vEh2htIBIb6u9IRoQQY/HCXxBtoXznpi4l8DbDSa7PxwMYHMGndJK/9+7LZw0kExqca\nWGx3WgoVVFEOgUYD9XkHmt5UU56BPwxE/5X9xd+bIJBfQY7gt0aEgxHtX81pGIf874huLTe6Rwp1\nIOhQ9h/CGW4ikDiSS8XKsShUBAW1BYzGX67T0GVrLYAr2Bv3ti98diu+kFCBoDg9OwNyrJguWy9j\nV94uxbL8eCAX05btw54wE2YmJWJhHG09yFyr+PpuOMKVC/HDv5cwb5P3mlTQj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I27TIu9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\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o0QgNDUVqaipat26NzMxMpSJx0t1sQRczzUV/wCxmgWRhJ5QM2oJntxaxaonmRnZv664f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\nODg4XBxOEXBwcHC4OJwi4ODg4HBx/g/Go5Qt0Va7YQAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"VeC5Pyjv2SaM","colab_type":"code","colab":{}},"source":["# Now try some audio!"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"hgRy5a9h7jeg","colab_type":"code","colab":{}},"source":["def load_url(url):\n"," fname = url.split('/')[-1]\n"," urllib.request.urlretrieve(url, filename=fname)\n"," return librosa.load(fname)\n","\n","src1, sr = load_url(\"https://upload.wikimedia.org/wikipedia/commons/a/ae/American_police_siren_i.ogg\")\n","src2, sr2 = load_url(\"https://upload.wikimedia.org/wikipedia/commons/9/9a/Pleasant_Moments_Piano_Roll.ogg\")\n","assert sr == sr2\n","N = min(src1.shape[0], src2.shape[0])\n","S = np.vstack((src1[:N], src2[:N]))\n","X = np.random.rand(2,2) @ S\n","\n","# mic1, sr = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/rsm2_mA.wav\")\n","# mic2, _ = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/rsm2_mB.wav\")\n","# src1, _ = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/ssm1.wav\")\n","# src2, _ = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/ssm2.wav\")\n","\n","# mic1, sr = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/rss_mA.wav\")\n","# mic2, _ = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/rss_mB.wav\")\n","# src1, _ = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/sss1.wav\")\n","# src2, _ = load_url(\"https://cnl.salk.edu/~tewon/Blind/Demos/sss2.wav\")\n","\n","# mic1, sr = load_url(\"https://raw.githubusercontent.com/corymaklin/ida/master/mix1.wav\")\n","# mic2, _ = load_url(\"https://raw.githubusercontent.com/corymaklin/ida/master/mix2.wav\")\n","# src1, _ = load_url(\"https://raw.githubusercontent.com/corymaklin/ida/master/source1.wav\")\n","# src2, _ = load_url(\"https://raw.githubusercontent.com/corymaklin/ida/master/source2.wav\")\n","\n","# N = min(mic1.shape[0], mic2.shape[0], src1.shape[0], src2.shape[0]) \n","# X = np.vstack((mic1[:N], mic2[:N]))\n","# S = np.vstack((src1[:N], src2[:N]))h"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"aUHWnffvKxuV","colab_type":"code","colab":{}},"source":["N = min(src1.shape[0], src2.shape[0], 6*sr)\n","S = np.vstack((src1[:N], src2[:N]))\n","S /= S.std(axis=1, keepdims=True)\n","X = np.random.rand(2,2) @ S"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"1ONRGxxtAZaC","colab_type":"code","outputId":"c16b7de4-5252-4298-b061-f8a0cb609961","executionInfo":{"status":"ok","timestamp":1579185439679,"user_tz":-60,"elapsed":969,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":51}},"source":["correlate(S, X)"],"execution_count":43,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[0.12885103, 0.96435114],\n"," [0.99133096, 0.26215761]])"]},"metadata":{"tags":[]},"execution_count":43}]},{"cell_type":"code","metadata":{"id":"wqdYdaZW8osx","colab_type":"code","outputId":"a3bdbeb6-d0ec-4b1c-8048-c69888a1311a","executionInfo":{"status":"ok","timestamp":1579185450440,"user_tz":-60,"elapsed":5834,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":249}},"source":["display(Audio(X[0], rate=sr))\n","display(Audio(X[1], rate=sr))\n","display(Audio(S[0], rate=sr))\n","display(Audio(S[1], rate=sr))"],"execution_count":44,"outputs":[{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"Gkl8PpTL9VcK","colab_type":"code","outputId":"aff96c4d-6419-4cca-91b5-9cd2fb7e1661","executionInfo":{"status":"ok","timestamp":1579185484116,"user_tz":-60,"elapsed":3256,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":167}},"source":["FIC = decomposition.FastICA(max_iter=10000).fit_transform(X.T).T\n","for sig in FIC:\n"," display(Audio(sig, rate=sr))\n","correlate(S, FIC)"],"execution_count":45,"outputs":[{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"execute_result","data":{"text/plain":["array([[-0.99999595, 0.00287132],\n"," [ 0.00543017, 0.99998521]])"]},"metadata":{"tags":[]},"execution_count":45}]},{"cell_type":"code","metadata":{"id":"KVZMda88yz-z","colab_type":"code","colab":{}},"source":["D = 2"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"Fz-yn-6k-M44","colab_type":"code","outputId":"deeb4052-62cb-44d7-a81c-a74ea33406b9","executionInfo":{"status":"ok","timestamp":1579185562148,"user_tz":-60,"elapsed":3927,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":408}},"source":["IC = ica(X, whiten=True)\n","for sig in IC:\n"," display(Audio(sig, rate=sr))\n","correlate(S, IC)"],"execution_count":48,"outputs":[{"output_type":"stream","text":["ICA loss: 3.215474050361101\n","ICA loss: 2.823641806922252\n","ICA loss: 2.820417307907587\n","ICA loss: 2.819779836528788\n","ICA loss: 2.8197720348593247\n","ICA loss: 2.819755536547056\n","ICA loss: 2.8197376879755573\n","ICA loss: 2.819777038087851\n","ICA loss: 2.819734896578341\n","ICA loss: 2.8197279319519364\n","ICA loss: 2.8197270981880918\n","ICA loss: 2.8197270835413084\n","Opt Ret: (array([ 1.80731228, -0.05051037, 0.04825108, 1.78851246]), 2.8197270835413084, {'grad': array([ 1.95497176e-06, -3.96915449e-06, -8.97034959e-07, 7.36823625e-07]), 'task': b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL', 'funcalls': 12, 'nit': 10, 'warnflag': 0})\n"],"name":"stdout"},{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"execute_result","data":{"text/plain":["array([[ 0.00484027, 0.99998319],\n"," [ 0.99997258, -0.00836779]])"]},"metadata":{"tags":[]},"execution_count":48}]},{"cell_type":"code","metadata":{"id":"V5p3pwfhHgF4","colab_type":"code","outputId":"d78d9dbd-8b43-4282-ceae-4dcd6178b487","executionInfo":{"status":"ok","timestamp":1579185604352,"user_tz":-60,"elapsed":3469,"user":{"displayName":"Jan Chorowski","photoUrl":"","userId":"18100051538790809279"}},"colab":{"base_uri":"https://localhost:8080/","height":167}},"source":["C = decomposition.PCA().fit_transform(X.T).T\n","for sig in C:\n"," display(Audio(sig, rate=sr))\n","correlate(S, C)"],"execution_count":49,"outputs":[{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"text/html":["\n"," \n"," "],"text/plain":[""]},"metadata":{"tags":[]}},{"output_type":"execute_result","data":{"text/plain":["array([[-0.16902905, -0.98561114],\n"," [-0.98517528, 0.17155053]])"]},"metadata":{"tags":[]},"execution_count":49}]},{"cell_type":"code","metadata":{"id":"GknNrFYwLYA3","colab_type":"code","colab":{}},"source":[""],"execution_count":0,"outputs":[]}]} \ No newline at end of file