{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Example of use of the mlexplorer() function\n", "\n", "Author: Charles Le Losq\n", "\n", "**The `rampy.mlexplorer` class is in development. It aims to allow exploring sets of spectroscopic data with using principal component analysis or non-negative matrix factorization for instance. For now the work-in-progress version of this function is made available in this notebook.**\n", "\n", "It will perform automatic data scaling and provides access to popular data mining algorithms from scikit-learn.\n", "\n", "Main goal is to provide easy access to PCA, NMF and so on. It is not intended to perform multivariate curve resolution analysis, which is the goal of the PyMCR library that integrates well with Rampy.\n", "\n", "Any help/feedback is more than welcome!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "np.random.seed(42) # fixing the seed\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import rampy as rp\n", "from scipy.stats import norm\n", "\n", "from sklearn.decomposition import PCA, NMF\n", "import sklearn" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of samples:40\n", "Shape of partial spectra matrix:(2, 60)\n", "Shape of concentration matrix:(40, 2)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(0,600,10.0)\n", "nb_samples = 40 # number of samples in our dataset\n", "\n", "S_1 = norm.pdf(x,loc=200.,scale=100.)\n", "S_2 = norm.pdf(x,loc=400,scale=50)\n", "S_true = np.vstack((S_1,S_2))\n", "print(\"Number of samples:\"+str(nb_samples))\n", "print(\"Shape of partial spectra matrix:\"+str(S_true.shape))\n", "\n", "C_ = np.random.rand(nb_samples) #60 samples with random concentrations between 0 and 1\n", "C_true = np.vstack((C_,(1-C_))).T\n", "print(\"Shape of concentration matrix:\"+str(C_true.shape))\n", "\n", "Obs = np.dot(C_true,S_true) + np.random.randn(nb_samples,len(x))*1e-4\n", "\n", "# norm is a class which, when called, can normalize data into the\n", "# [0.0, 1.0] interval.\n", "norm_ = matplotlib.colors.Normalize(\n", " vmin=np.min(C_),\n", " vmax=np.max(C_))\n", "\n", "# choose a colormap\n", "c_m = matplotlib.cm.jet\n", "\n", "# create a ScalarMappable and initialize a data structure\n", "s_m = matplotlib.cm.ScalarMappable(cmap=c_m, norm=norm_)\n", "s_m.set_array([])\n", "\n", "ax = plt.subplot()\n", "\n", "# plotting spectra\n", "# calling the ScalarMappable that was initialised with c_m and norm\n", "for i in range(C_.shape[0]):\n", " plt.plot(x,\n", " Obs[i,:].T,\n", " color=s_m.to_rgba(C_[i]))\n", "\n", "# we plot the colorbar, using again our\n", "# ScalarMappable\n", "c_bar = plt.colorbar(s_m, ax=ax)\n", "c_bar.set_label(r\"C_\")\n", "\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We create an mlexplorer object called 'explo'" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "explo = rp.mlexplorer(Obs)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We will explore the data with a Non-Negative Matrix factorisation algorithm, training it with 2 components on 70% of the data. MinMax scaling is performed before training." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "explo.algorithm = 'NMF'\n", "explo.nb_compo = 2\n", "explo.test_size = 0.3\n", "explo.scaler = \"MinMax\"\n", "explo.fit()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The code uses the functions from scikit-learn, if you want a low-level control, you can define everything using the scikit-learn API and manipulating the model.\n", "\n", "Training and testing data (original and scaled) are embedded into the object, as well as the scaler and model." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Example of X data (testing):\n", "[0.00057493 0.000589 0.00081001 0.00083645]\n", "\n", "Scaler :\n", "MinMaxScaler()\n", "\n", "Model :\n", "NMF(init='nndsvd', n_components=2)\n" ] } ], "source": [ "print(\"Example of X data (testing):\")\n", "print(explo.X_test[1,1:5])\n", "print(\"\\nScaler :\")\n", "print(explo.X_scaler)\n", "print(\"\\nModel :\")\n", "print(explo.model)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Please directly see the scikit-learn documentation for information about their PCA and NMF algorithms.\n", "\n", "We can use directly the model to extract the W and H matrix and plot them, following the scikit-learn API:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fH3/uBfR64uPjSUhIqPU5CQkJNdoDDBo0yNw+JSWFzMzMGm28vb2JjY294DVff/11mjdvTvfu3Xnrrbeoqqq6aK3l5eUUFhbWuAkhhFXITYbSPHB0gaBuWlfTMALOhpq8I1BepG0twmbVK9Tk5uZSXV1NQEBAjfsDAgLIzKy9R3tmZuYl25u2l3vNp59+miVLlvD777/z2GOP8dprrzF58uSL1jpz5ky8vb3Nt9DQ0Lp/UCGE0JKpP01wD3B01raWhuLRAjyD1P2svdrWImyWo9YF1NXEiRPN+127dsXZ2ZnHHnuMmTNnYjAYLmg/ZcqUGs8pLCyUYCOEsA6pVr6I5cUEdoWiDPUSVJiN9BUSFqVeZ2r8/PxwcHAgKyurxv1ZWVkEBgbW+pzAwMBLtjdt6/OaALGxsVRVVXHs2LFaHzcYDHh5edW4CSGEVThh5YtYXoy5X42MgBKNo16hxtnZmejoaNauXWu+z2g0snbtWuLi4mp9TlxcXI32AGvWrDG3j4iIIDAwsEabwsJCEhMTL/qaAElJSej1evz9/evzEYQQwrIVn4JTh9X90F7a1tLQpLOwaGT1vvw0ceJERo0aRUxMDL169WLWrFkUFxczevRoAEaOHElISAgzZ84E4JlnnmHAgAG88847DB06lCVLlrB161YWLFgAgE6nY8KECbz66qtERkYSERHBSy+9RHBwMMOGDQPUzsaJiYkMHDgQT09PEhISePbZZ3nggQfw9bXiRd6EEOLvTKOe/K4Bt2ba1tLQTKEmax9UV4KDk7b1CJtT71AzfPhwcnJymD59OpmZmURFRbFq1SpzR9/U1FT0+nMngPr06cPixYuZNm0aU6dOJTIykuXLl9O5c2dzm8mTJ1NcXMzYsWPJz8+nX79+rFq1ChcXF0C9lLRkyRJefvllysvLiYiI4Nlnn63RZ0YIIWyCrSxiWRvfCHD2hIoidYRXQEetKxI2Rqco9rG6WGFhId7e3hQUFEj/GiGE5frfIDXY3PYBdL9f62oa3seDITUBbl8A3YZrXY2wAvX5/pa1n4QQwlJUlatrPoHtjg6SzsKiEUmoEUIIS5GeBNXl4OYHzVprXU3jkM7CohFJqBFCCEth7k/T2zYWsazN+Wdq7KP3g2hCEmqEEMJSpNrYek+1adEB9I5QehoK07SuRtgYCTVCCGEJzl/E0lb70wA4uajD1UEuQYkGJ6FGCCEsQd5RKMkFB4PtLGJ5MdKvRjQSCTVCCGEJTKOBAjqB44Xr2dkUGQElGomEGiGEsASmsxamL3xbZvqMGRJqRMOSUCOEEJbAHkNN/nEozde0FGFbJNQIIYQlMJ21sPX+NKCuaeUdqu5n7dW2FmFTJNQIIYTWzmTDmUxAB/52sh6SdBYWjUBCjRBCaM30xd68DRg8tK2lqUhnYdEIJNQIIYTW7Kk/jYmEGtEIJNQIIYTWTF/sgV21raMpmT5r9gGoqtC2FmEzJNQIIYTWzGdq7CjU+ISBwRuMlZB7UOtqhI2QUCOEEFqqKIbcZHXfni4/6XTSWVg0OAk1Qgihpez9gALu/uAZoHU1TUsm4RMNTEKNEEJoKWOnug2yo0tPJqbPLGdqRAORUCOEEFqyx5FPJudfflIUbWsRNkFCjRBCaMmeQ43fNaB3gvICOH1M62qEDZBQI4QQWjFWn1smwJ5GPpk4OkPA2RmUZb4a0QAk1AghhFZOHYaqUnByh2atta5GG6a1rkx9i4S4ChJqhBBCK6ZLTwGdQO+gbS1aCYpSt+lJWlYhbISEGiGE0Ip5JmE77E9jYgo1GTuls7C4ahJqhBBCK/bcSdgkoCPoHKAkFwrTta5GWDkJNUIIoQVFOTfpnD3OUWPi5Aot2qv70q9GXCUJNUIIoYWiTPXshE4P/h21rkZbwVHqNiNJyyqEDZBQI4QQWjBdevJrp56tsGcyAko0EAk1QgihBekkfI6EGtFAJNQIIYQWzKHGjvvTmAR2AXRQlAFFWVpXI6yYhBohhNCCjHw6x9ldvQwHcrZGXBUJNUII0dTKiyDvqLovoUYll6BEA5BQI4QQTc203pNnMLj7aVuLpTCHmiRNyxDWTUKNEEI0NZmf5kLmYd1ypkZcOQk1QgjR1GTk04VMx6LgBBSf0rYWYbUk1AghRFOTTsIXcvE+t1J5ppytEVdGQo0QQjSl6krI3q/uS6ipSToLi6skoUYIIZpS7iGoLgeDF/iEa12NZTGt2J2epGUVwopJqBFCiKZkuvQU0Bn08iO4BjlTI66S/I8SQoimJP1pLs4Uak6nQGm+pqUI6yShRgghmpKMfLo4t2bgHabum8KfEPVwRaFm7ty5hIeH4+LiQmxsLJs3b75k+2XLltG+fXtcXFzo0qULK1eurPG4oihMnz6doKAgXF1diY+PJzk5udbXKi8vJyoqCp1OR1JS0pWUL4QQ2lAUmaPmcoJlEj5x5eodapYuXcrEiROZMWMG27dvp1u3bgwaNIjs7Oxa22/cuJERI0YwZswYduzYwbBhwxg2bBh79uwxt3nzzTeZPXs28+fPJzExEXd3dwYNGkRZWdkFrzd58mSCg4PrW7YQQmiv4CSU5YPeEVq017oayyT9asRVqHeo+c9//sOjjz7K6NGj6dixI/Pnz8fNzY2PP/641vbvvfcegwcP5vnnn6dDhw7861//okePHsyZMwdQz9LMmjWLadOmcdttt9G1a1c+/fRT0tPTWb58eY3X+vnnn1m9ejVvv/12/T+pEEJozXRJpUV7cDRoW4ulMo2AklAjrkC9Qk1FRQXbtm0jPj7+3Avo9cTHx5OQkFDrcxISEmq0Bxg0aJC5fUpKCpmZmTXaeHt7ExsbW+M1s7KyePTRR/nss89wc3OrT9lCCGEZpJPw5ZnO1OQmQ/kZbWsRVqdeoSY3N5fq6moCAgJq3B8QEEBmZmatz8nMzLxke9P2Um0UReGhhx7i8ccfJyYmpk61lpeXU1hYWOMmhBCaMncSlv40F+Xhry70iSKdhUW9WcXop/fff5+ioiKmTJlS5+fMnDkTb29v8y00NLQRKxRCiMtQFEjbpu6bzkaI2km/GnGF6hVq/Pz8cHBwICsrq8b9WVlZBAYG1vqcwMDAS7Y3bS/V5rfffiMhIQGDwYCjoyNt27YFICYmhlGjRtX6vlOmTKGgoMB8O3HiRH0+qhBCNKz841CUAXonCO6udTWWTUKNuEL1CjXOzs5ER0ezdu1a831Go5G1a9cSFxdX63Pi4uJqtAdYs2aNuX1ERASBgYE12hQWFpKYmGhuM3v2bHbu3ElSUhJJSUnmIeFLly7l3//+d63vazAY8PLyqnETQgjNpCaq26Bu4Cz9Ai8pOErdSqgR9eRY3ydMnDiRUaNGERMTQ69evZg1axbFxcWMHj0agJEjRxISEsLMmTMBeOaZZxgwYADvvPMOQ4cOZcmSJWzdupUFCxYAoNPpmDBhAq+++iqRkZFERETw0ksvERwczLBhwwAICwurUYOHhwcAbdq0oWXLllf84YUQosmknh34ENZb2zqsgelMTc4BqCwFJ1dt6xFWo96hZvjw4eTk5DB9+nQyMzOJiopi1apV5o6+qamp6M9bz6RPnz4sXryYadOmMXXqVCIjI1m+fDmdO3c2t5k8eTLFxcWMHTuW/Px8+vXrx6pVq3BxcWmAjyiEEBbgxNkzNRJqLs8zCNxbQHEOZO2FlnUbICKETlEUResimkJhYSHe3t4UFBTIpSghRNMqPQ1vRAAKPHcYPFpoXZHl+/xOOPwrDH0Hej6idTVCQ/X5/raK0U9CCGHVTmwBFGjWRgJNXckkfOIKSKgRQojGdmKTug2rfUCFqIWpX016kqZlCOsioUYIIRpbqinUxGpbhzUxhZrs/VBVrm0twmpIqBFCiMZUVXFu0r1Q6SRcZz5h4OoLxko12AhRBxJqhBCiMWXshKoycG0GfpFaV2M9dLrzJuFL0rQUYT0k1AghRGMy96fprX5Ri7qTmYVFPUmoEUKIxpR6XqgR9SOdhUU9SagRQojGoijnQo30p6k/0xpZWXvVvklCXIaEGiGEaCx5R6EkFxwM59YzEnXnGwEu3lBdDjnSWVhcnoQaIYRoLKb1nkJ6gKNB21qskU53bhK+9B2aliKsg4QaIYRoLNKf5uqZLkFJvxpRBxJqhBCisUh/mqtnDjVypkZcnoQaIYRoDMW5cCpZ3Q/tpW0t1qxGZ2GZWVhcmoQaIYRoDCcS1W2L9uDWTNtarFmNmYX3aV2NsHASaoQQojFIf5qGodPJJShRZxJqhBCiMUh/moYjoUbUkYQaIYRoaJWl576AZWXuq2ce1p2kZRXCCkioEUKIhpa+Q+0D4hGgTiAnro7pTE32Pqgs07YWYdEk1AghREMzX3qKlUUsG4J3S3DzA2OVOgpKiIuQUCOEEA3NNPIpLE7bOmyFTndumYkM6VcjLk5CjRBCNCSj8byRT9KfpsFIZ2FRBxJqhBCiIeUegrJ8cHKDwK5aV2M7ZLkEUQcSaoQQoiGZF7GMBgcnbWuxJaYRUNn71dFlQtRCQo0QQjQk6U/TOLyCwd0flGrI3KN1NcJCSagRQoiGZDpTI/1pGpbMLCzqQEKNEEI0lKJMOH0MdHpoKYtYNjjTCCgJNeIiJNQIIURDMY168u8ELl7a1mKLTGdqMpI0LUNYLgk1QgjRUE5uUbehcpamUZg6C+ccgIpiTUsRlklCjRBCNJS07eq2ZYy2ddgqryDwDALFCJm7ta5GWCAJNUII0RCqq85dFgmJ1rQUmyaLW4pLkFAjhBANIWc/VJaAwQuaR2pdje2SEVDiEiTUCCFEQzi5Vd0Gdwe9/GhtNBJqxCXI/zwhhGgIadvUrfSnaVymYd25h6D8jKalCMsjoUYIIRqCKdRIf5rG5eEPXiGAApm7tK5GWBgJNUIIcbXKi9Q1iUBCTVOQS1DiIiTUCCHE1UpPAhTwagmegVpXY/tkBJS4CAk1Qghxtcz9aeQsTZOQMzXiIiTUCCHE1Uo7O/JJLj01DVNn4VPJUFaoaSnCskioEUKIq2WaSThERj41CXc/8A5V96WzsDiPhBohhLgahRlQmKauzB3UTetq7Ies2C1qIaFGCCGuhqk/jX9HMHhoW4s9kX41ohYSaoSwckajgtGoaF2G/TL3p+mhbR32xhxqkjQtQ1iWKwo1c+fOJTw8HBcXF2JjY9m8efMl2y9btoz27dvj4uJCly5dWLlyZY3HFUVh+vTpBAUF4erqSnx8PMnJyTXa3HrrrYSFheHi4kJQUBAPPvgg6enpV1K+EFYvr7iC75PSmLg0iV6v/Uq3V1bzacIxFEXCTZMzT7on/WmalGlYd94RKM3XshJhQRzr+4SlS5cyceJE5s+fT2xsLLNmzWLQoEEcPHgQf3//C9pv3LiRESNGMHPmTG6++WYWL17MsGHD2L59O507dwbgzTffZPbs2SxatIiIiAheeuklBg0axL59+3BxcQFg4MCBTJ06laCgINLS0njuuee466672Lhx41UeAiG0tSetgFm/JpNZWEqIjyshPm609HUlxNeVEB9XQn3d8HBxZNfJfNYdzOGPQznsPJnP3/PL9O/3kpiSx+t3dMHTxUmbD2NvjNWQdvbyh4x8alpuzcCnFeQfh4yd0HqA1hUJC6BT6vmrXWxsLD179mTOnDkAGI1GQkNDGT9+PC+++OIF7YcPH05xcTErVqww39e7d2+ioqKYP38+iqIQHBzMpEmTeO655wAoKCggICCAhQsXcu+999Zaxw8//MCwYcMoLy/HyenyP8ALCwvx9vamoKAALy+v+nxkIRpFVmEZb/1ykG+2n7wgoPydo15H1d8uMbUP9GRAuxYMuKYF+9ILef3nA1QZFcKbuzH3/h50CvZuxOoFANkH4INYcHKHKSdA76B1Rfblq1Gwbzn83z+h7zNaVyMaSX2+v+t1pqaiooJt27YxZcoU8316vZ74+HgSEhJqfU5CQgITJ06scd+gQYNYvnw5ACkpKWRmZhIfH29+3Nvbm9jYWBISEmoNNXl5eXzxxRf06dPnooGmvLyc8vJy858LC2UuA2EZSiqqWLD+KB/+cZTSymoAbosK5qYuQWQWlJGWX0ra6VJOni4hLb+U3DMVVBkVPF0c6R/ppwaZdv4EeruYX7NPGz96tPJl/OIdHDtVwu0fbGTGLR25r1cYOp1Oq49q+0yXnoKjJNBoIThKDTXSWVicVa9Qk5ubS3V1NQEBATXuDwgI4MCBA7U+JzMzs9b2mZmZ5sdN912sjckLL7zAnDlzKCkpoXfv3jXO/vzdzJkzeeWVV+r2wYRoAkajwrc70njrlwNkFaqBO7qVL9OGdqB7mO9Fn1dWWU1OUTlB3i44Oly8G1yPMF9+erofk77aydoD2fzjuz0kHs3jtTu64GGo95VmURcy6Z62ZASU+BurGv30/PPPs2PHDlavXo2DgwMjR468aMfIKVOmUFBQYL6dOHGiiasVQlVtVPh1Xxa3zv2T55btJKuwnJa+rsy9rwdfPx53yUAD4OLkQGgzt0sGGhMfN2c+GhnD1Jva46DX8cPOdG59/0/2pBU01McR55OVubVlmhfo9DEoPa1pKcIy1OvXNz8/PxwcHMjKyqpxf1ZWFoGBtS/iFhgYeMn2pm1WVhZBQUE12kRFRV3w/n5+frRr144OHToQGhrKpk2biIuLu+B9DQYDBoOhPh9PiAZ1uriCpVtP8Pmm45w8XQqAp8GRcde3ZVSfcFycGudyhV6vY+y1bYhu5cu4xTs4mlvMLXP+ZHCnQMZd31b62jSUylLI2qvut5SRT5pw9QXfCDidog7tbjNQ64qExup1psbZ2Zno6GjWrl1rvs9oNLJ27dpagwVAXFxcjfYAa9asMbePiIggMDCwRpvCwkISExMv+pqm9wVq9JsRwhLsOpnPpK92EjtzLa//fICTp0vxdnXisWtbs+7563hsQJtGCzTni27VjJVP9+fmrkEoCvy8J5Ohs//kkUVbSDqR3+jvb/MydoGxCjwCwCtE62rsl1yCEuep94X2iRMnMmrUKGJiYujVqxezZs2iuLiY0aNHAzBy5EhCQkKYOXMmAM888wwDBgzgnXfeYejQoSxZsoStW7eyYMECAHQ6HRMmTODVV18lMjLSPKQ7ODiYYcOGAZCYmMiWLVvo168fvr6+HDlyhJdeeok2bdpcMvgI0VSMRoXvd6axcONxdp4XGDqHeDEyLpxbuwU3SZD5O193Z+bc14Px1xcx9/fDrNiVzq/7s/l1fzb9I/14+oZIeoY3a/K6bIK5P00MSGds7QR3h73fSqgRwBWEmuHDh5OTk8P06dPJzMwkKiqKVatWmTv6pqamotefOwHUp08fFi9ezLRp05g6dSqRkZEsX77cPEcNwOTJkykuLmbs2LHk5+fTr18/Vq1aZZ6jxs3NjW+//ZYZM2ZQXFxMUFAQgwcPZtq0aXKJSWju1Jlynv1qJ+sP5QDg7KBnaNcgHoxrRfdQH4sYfXRNoCezR3RnQnwkH6w7wnc70tiQnMuG5FxiI5oxeXB7oltdum+P+BtzfxqZSVhTpjWgMpK0rEJYiHrPU2OtZJ4a0Rg2p+Qx/svtZBWW4+Kk56nr2jIiNgw/D8sO2yfySpj3xxGWbT1BZbX6I+COHiG8OLg9/l4ul3m2AGBWV3Xit5HfQ+vrtK7GfpUVwOth6v7zR8G9ubb1iAZXn+9vqxr9JISlMBoVPlh3mBEfbSKrsJw2Ldz5/ql+jL8h0uIDDUBoMzdeu70L6ycP5J6YlgB8uz2NgW+v48M/jlBRZdS4QgtXnKsGGjjXp0Now8UbmrdV9zPkEpS9k1AjRD3lFVcweuEW3lx1kGqjwu3dQ/hhXD+uCfTUurR6C/J25c27urH8qb5EhfpQXFHNzJ8PMHjWen4/mK11eZbLdOnJr536pSq0ZVoHSha3tHsSaoSohy3H8rjpvQ38cSgHg6OeN+7swn/u6Ya7lU9uFxXqw7dP9OHtu7vh52HgaG4xoz/ZwpiFWziWW6x1eZZHFrG0LDICSpwloUaIOjAaFeatO8K9CzaRWVhG6xbufD+uL8N72s4yBHq9jruiW/LbcwN4tH8Ejnodaw9kM2jWelbtybz8C9iTk6aRT9JJ2CKYQ02SpmUI7UmoEeIyThdXMGbRFt5YdYBqo8KwqGB+HNeP9oG22eHcy8WJfwztyKoJ19KnTXPKq4w8+cU2lmxO1bo0y6Ao587UyKR7liGoK6CDwpNwJkfraoSGJNQIcQnbjp9m6OwN/H4wB2dHPTPv6MK7w6Os/nJTXbT19+DTh3sxPCYUowIvfrubub8fvujSJHYj7yiU5YODAfw7aV2NADB4gl+kui9Du+2ahBohaqEoCv/dcJThHyaQXlBGhJ87y5/sywg7W/Xa0UHP63d24cnr2gDw1i8HeeXHfRiNdhxsTGdpgrqBo7O2tYhzpF+NQEKNEBcoKKlk7GfbePWn/VQZFW7uGsQP4/rSMdg2Lzddjk6nY/Lg9ky/uSMACzceY8LSJPsd9n1SVua2SBJqBFcwo7AQtmzniXyeWrydk6dLcXbQ89LNHXigdyu7OjtzMQ/3i6C5hzOTvtrJDzvTyS+tZN79PeziUlwN0p/GMsmwboGcqRHCbPmONO6av5GTp0sJa+bGN0/04cG4cAk057ktKoT/jorB1cmB9YdyuO+/ieQVV2hdVtOpKofMXeq+jHyyLIFdQKeHonQoktF69kpCjRDA7wezmbRsJ5XVCoM6BfDj+H50aSmTqtXmumv8WfxoLD5uTuw8kc9d8zdyIq9E67KaxsmtUF0B7v7gG6F1NeJ8Bg/wu0bdl7M1dktCjbB7SSfyefLz7VQbFe7oHsK8+6PxdnXSuiyL1j3Ml68fjyPY24WjOcXcMW8je9IKtC6r8aX8oW4jrpWVuS2RaXFL6VdjtyTUCLt2NOcMDy/cQmllNf0j/Xjjrq7o9fJlVRdt/T359sm+tA/0JKeonOEfJrAh2cbnCElZr24jrtW2DlE7U2dhGdZttyTUCLuVXVTGyI83k1dcQZcQb+Y9EI2Tg/yXqI9Abxe+ejyOPm2aU1xRzehPtvDt9pNal9U4Korh5BZ1X0KNZTp/BJS9z6dkp+QnuLBLRWWVjP5kCydPl9KquRsfP9QTD3sbxdNAvFycWDi6F7dFBVNlVJj41U7bnKTveAIYq8AnDJpJfxqLFNBZ7Sx8JguKMrSuRmhAQo2wOxVVRh7/fBt70wvx83Dm04d70cLToHVZVs3ZUc+790Tx2LWtAXWSvpe+30O1LU3Sd35/GmGZnN2gRQd1XzoL2yUJNcKuGI0Kzy3byV+HT+Hm7MDHD/WkVXN3rcuyCXq9jik3dWDGLR3R6eDzTak8/vk2SiqqtC6tYZj70wzQtg5xaTIJn12TUCPsymsr9/PDznQc9TrmPRBN15Y+Wpdkc0b3jeCD+3rg7Khnzb4sbnx3PesOZmtd1tUpyYOMneq+nKmxbDICyq5JqBF2Y9HGY/z3zxQA3ryrKwPatdC4Its1pEsQXzwSS4iPKydPl/LQJ1sY/+UOcorKtS7tyhz/C1DUeVA8A7WuRlyKdBa2axJqhF1YdzCbV37cC8Dzg67hjh4tNa7I9vUMb8bqZ69lTL8I9Dr4cWc6N7yzjiWbU61vQUwZym09AjqB3hFKcqEwTetqRBOTUCNs3qGsIsYv3oFRgbuiW5pXnBaNz93gyEs3d+T7p/rRKdiLwrIqXvx2N/d+tInD2We0Lq/ujp7tJNxa+tNYPCfX8zoLyyUoeyOhRti0U2fKGbNoC0XlVfQKb8Zrt3eRtZw00KWlN98/1ZdpQzvg6uTA5pQ8bnpvA3N+S7b8od9FmZB7ENBBq75aVyPqQvrV2C0JNcJmlVdV89hn2ziRpy5QOf/BaJwd5Z+8Vhwd9DzSvzWrn72Wgde0oKLayNurD/HxX8e0Lu3STJeegrqCWzNtaxF1Y+5Xk6RpGaLpyU94YZMURWHKN7vZevw0ni6OfPxQDM3cnbUuSwChzdTJDqfe1B6AmSv3s+VYnsZVXYJ5fhq59GQ1zj9TY+lnAkWDklAjbNIH647w7Y40HPQ6Pri/B239PbUuSZxHp9PxaP/W3NpNnYX4qS+2k11UpnVZtZP5aaxPQGfQO0FpHuSnal2NaEISaoTN+Xl3Bm/9chCAl2/tRP9IGbptiXQ6Ha/f2YV2AR5kF5UzfvEOqqqNWpdVU16K+qWod4Sw3lpXI+rK0QABHdV96VdjVyTUCJuy62Q+z36VBMBDfcJ5sHcrbQsSl+Tm7Mi8B6LxMDiSmJLHm2fDqMUwnaVp2RMMHtrWIuonKErdyorddkVCjbAZmQVlPPrpVsoqjQxo14JpQztoXZKogzYtPHjrrq4ALFh/lFV7LGghQpmfxnrJcgl2SUKNsAmlFdU8+ulWsgrLifT34P37uuPoIP+8rcWQLkE82l9d+fq5Zbs4kmMBc9goioQaa3Z+qDFa2GVN0Wjkp76weoqi8NzXO9mdVoCvmxP/G9UTLxcnrcsS9fTC4Pb0imjGmfIqnrCEhTBzDkBxNji6qpefhHXx76j+3ZUVnJ1nSNgDCTXC6r23NpmfdmXg5KBj/gPRhDV307okcQUcHfTMua87LTwNHMo6w4vf7NZ2Yj7TWZqw3mrHU2FdHJ0htJe6f+xPbWsRTUZCjbBqP+3KYNavyQC8Oqwzsa2ba1yRuBr+ni7Mva8HDnodP+xM5+3VBymrrNamGNPSCHLpyXqF91e3EmrshoQaYbV2nyxg0rIkAMb0i2B4zzBtCxINoldEM6YMUSfmm/v7Ea5983c+SzhGRVUT9oswVp/7IpT1nqxX+NllLY7/JZPw2QkJNcIqZRWW8cinWyirNHLdNS2YepOMdLIlY/pF8Pbd3QjxcSW7qJyXvt/LwLfX8dXWE00zl03GTigvAIM3BHZr/PcTjSMkGhxdoDgHcg9pXY1oAhJqhNUpq6xm7NmRTm39PZg9ojsOelmk0pbodDruim7Jb88N4J+3daKFp4G0/FImf72LG2et58ed6RiNjfibt2lphPC+4ODYeO8jGpej4Vwnb7kEZRck1AiroigKz3+9i50nC/Bxc+J/o2JkpJMNMzg6MDIunPXPD2TqTe3xdXPiaE4x47/cwU2zN7DxcG7jvLEsjWA7pF+NXZFQI6zKh+uP8uPOdBz16kinVs3dtS5JNAFXZwfGXtuGDS9cz8T/a4enwZEDmUXc999Env5yB9mFDbhuVFU5HE9Q96WTsPWTfjV2RUKNsBpJJ/J5++w0+q/c1oneMtLJ7ngYHHn6hkg2vDCQkXGt0Ovgh53pXP/OH3z8Z0rD9Lc5uRWqSsHND/ylr5bVC4kBBwOcyYJTh7WuRjQyCTXCKpwpr+LpL3dQZVS4uWsQ9/WSkU72zMfNmX/e1pkfxvWjW6gPZ8qr+OeKfdwy5y+2Hc+7uhc/fxZhnfTVsnpOLtKvxo5IqBFWYfryPaTmlRDi48q/b++CTr5sBNA5xJvvnujDa7d3wdvVif0Zhdw5L4Hnl+3k1JnyK3vRYxvUrVx6sh2mS1ASamyehBph8ZbvSOPbHWnodfDevVF4u0rHYHGOXq/jvtgwfn/uOobHhAKwbNtJrntrHe+uOURBaWXdX6yqXL38BBDerxGqFZow/V1KvxqbJ6FGWLTUUyVMW74HgGduaEdMeDONKxKWqpm7M2/c1ZVvnoijY5AXReVVvLc2mf5v/MZ7vyZTWFaHcJO2HarLwb0FNG/b+EWLptGyJzg4Q1EG5B3VuhrRiK4o1MydO5fw8HBcXFyIjY1l8+bNl2y/bNky2rdvj4uLC126dGHlypU1HlcUhenTpxMUFISrqyvx8fEkJyebHz927BhjxowhIiICV1dX2rRpw4wZM6ioqLiS8oWVqKw2Mn7JDs6UV9ErvBnjrpcvGXF50a2asWJ8P+be14NIfw8Ky6p499dD9H/jd+b8lkzRpcJN6kZ1GxYn/WlsiZOr2mEY5BKUjat3qFm6dCkTJ05kxowZbN++nW7dujFo0CCys7Nrbb9x40ZGjBjBmDFj2LFjB8OGDWPYsGHs2bPH3ObNN99k9uzZzJ8/n8TERNzd3Rk0aBBlZeowzQMHDmA0Gvnwww/Zu3cv7777LvPnz2fq1KlX+LGFNZj16yF2nsjHy8WRd++Nkgn2RJ3p9TqGdg1i1YRrmT2iO21auFNQWsnbqw/R/83fmfv7Yc6U17IKuGkod6s+TVuwaHznD+0WNkun1HMZ3NjYWHr27MmcOXMAMBqNhIaGMn78eF588cUL2g8fPpzi4mJWrFhhvq93795ERUUxf/58FEUhODiYSZMm8dxzzwFQUFBAQEAACxcu5N577621jrfeeot58+Zx9GjdTiUWFhbi7e1NQUEBXl5e9fnIQgMbj+Ry/38TURT44P4e3NQlSOuShBWrNiqs2JXOe2uTOZpTDIC3qxOj+oQzuk84vu7O6npPb4RDeSGM/QOCozStWTSwo+vg09vAKwSe3Stn4qxIfb6/63WmpqKigm3bthEfH3/uBfR64uPjSUhIqPU5CQkJNdoDDBo0yNw+JSWFzMzMGm28vb2JjY296GuCGnyaNbt4/4ry8nIKCwtr3IR1OF1cwcSlO1EUuLdnqAQacdUc9DpuiwphzbMDeHd4N1r7qWduZq9Nps/rv/HPH/eRc2SbGmicPSGwi9Yli4bWshfonaAwDU4f07oa0UjqFWpyc3Oprq4mICCgxv0BAQFkZmbW+pzMzMxLtjdt6/Oahw8f5v333+exxx67aK0zZ87E29vbfAsNDb30hxMWQVEUXvhmF5mFZbRp4c70WzpqXZKwIQ56Hbd3b8maiQOYe18POgV7UVpZzcd/pTD/088BKAmMAb2DxpWKBufsBiE91H3pV2OzrG70U1paGoMHD+buu+/m0UcfvWi7KVOmUFBQYL6dOHGiCasUV0JRFP61Yj+r92Xh7KDnvXu74+YsiwmKhudwts/NivH9WPRwL2IjmhHNfgDmHm3B+C93XLpDsbBO5w/tFjapXqHGz88PBwcHsrKyatyflZVFYGBgrc8JDAy8ZHvTti6vmZ6ezsCBA+nTpw8LFiy4ZK0GgwEvL68aN2G5FEXhzV8O8vFfKQC8entnOod4a1yVsHU6nY4B7VqwdGxv/s9d7Z+3ubo9P+5M553VhzSuTjS4VqZJ+CTU2Kp6hRpnZ2eio6NZu3at+T6j0cjatWuJi4ur9TlxcXE12gOsWbPG3D4iIoLAwMAabQoLC0lMTKzxmmlpaVx33XVER0fzySefoNdb3UkmcQmz1x5m3rojAPzrtk7cEyOXC0UTOnUEp7JccDDw5P13A/D5puMcyy3WuDDRoEJjQe8IBalw+rjW1YhGUO9kMHHiRD766CMWLVrE/v37eeKJJyguLmb06NEAjBw5kilTppjbP/PMM6xatYp33nmHAwcO8PLLL7N161bGjRsHqL8pTZgwgVdffZUffviB3bt3M3LkSIKDgxk2bBhwLtCEhYXx9ttvk5OTQ2Zm5kX73AjrMv+PI7z7q/pb8bShHXgwLlzbgoT9MV2OCIlmYOcwBrRrQZVR4a3VB7WtSzQsgwcEd1f35RKUTap3h4Xhw4eTk5PD9OnTyczMJCoqilWrVpk7+qamptY4i9KnTx8WL17MtGnTmDp1KpGRkSxfvpzOnTub20yePJni4mLGjh1Lfn4+/fr1Y9WqVbi4uADqmZ3Dhw9z+PBhWrZsWaOeeo5IFxbmk79SeP3nAwA8P+gaHunfWuOKhF1KNc1Po54dfnFIe9Yn5/DTrgwe6Xea7mG+GhYnGlR4Pzi5Re0sHHWf1tWIBlbveWqslcxTY3kWJ6Yy9bvdADx9fVsm3niNxhUJuzWrK+Qfhwe+gbbq9BLPL9vJsm0n6RXejKWP9ZZFVG1F8q/wxZ3g0wom7NK6GlEHjTZPjRAN5ettJ/nHcjXQjL22Nc/+XzuNKxJ2qyBNDTQ6vTqXyVkTb2yHwVHP5mN5rNmXdYkXEFYlLBZ0Durfeb6MirU1EmpEk1uxK53JX6uT642Ka8WUIe3lt2ChHdOlp8Au4HLut8Agb1fG9IsA4PVVB6iqNmpRnWhoBs9zs0VLvxqbI6FGNKn9GYVM+monRgVG9Aplxi2dJNAIbR0/u4ilabjveR6/rg3N3J05mlPM0q3yW73NMA/tlkn4bI2EGtFkzpRX8dQX2ymvMjKgXQv+PawLelmkUmjNdKYm7MJpKbxcnHj67Orw765Jrn0RTGF9wvurWwk1NkdCjWgSiqIw9dvdHM0tJsjbhXeHR0mgEdoryYPsfep+LaEG4L7YVoQ3dyP3TDkfra/bArrCwoX1VvtQnU5R+1QJmyGhRjSJLzef4Ied6Tjodbw/ojvN3J21LkkISN2kbptHgkeLWps4O+qZPLg9AAvWHyW7sKypqhONxcULgrqp+9KvxqZIqBGNbm96AS//uBdQ56KJCb/46upCNKlUU3+aPpdsNqRzIN3DfCitrObdX5OboDDR6Mz9ajZoW4doUBJqRKMqKqtk3OIdVFQZub69P2Nlcj1hSY6bJt27dKjR6XRMvakDAEu3pJKcVdTYlYnGFjFA3R5dB/YxXZtdkFAjGo2iKEz5djcpucUEe7vwzt3dpB+NsBwVxZCRpO5fpD/N+XqGN+PGjgEYFfjnin2UV1U3bn2icYX3Bb0T5KdCnvSVshUSakSj+SIxlRW7MnDU63j/vh74Sj8aYUlObgFjFXi1BJ+wOj3lhSHtcdTr2JCcy+1zN3I4+0wjFykajbO72mEY4Mhv2tYiGoyEGtEo9qQV8M8V6qiSFwa3J7qVrJ0jLMzx89Z7quNcSW1aePDRqBiauTuzL6OQW97/k6VbUmUNOmvV+jp1e3SdllWIBiShRjS4orJKnlq8nYoqI/Ed/Hmkf4TWJQlxIdOolzpcejrfwGv8+fmZ/vRt25zSympe+GY3477cQUFpZSMUKRpVm4HqNmU9VMscRLZAQo1oUJXVRsYt3sHxUyWE+Ljy9t3dZMZgYXmqKuDkVnX/Mp2EaxPg5cJnD8fywmD1ctRPuzK46b0NbDue18CFikYVFAWuvlBeCGnbtK5GNAAJNaLBKIrCP77bzR+HcnB1cmDeAz3wcZN+NMICZeyEqlJwbQZ+V7Y6vF6v44nr2vD1E30Ia+ZGWn4p93y4idlrk6k2yuUoq6B3OG8U1O/a1iIahIQa0WBmrz3MV1tPotfBnPu607Wlj9YlCVE70/w0YXGgv7ofg1GhPvz0dD+GRQVTbVT4z5pDvPjNrgYoUjQJ0yWoIxJqbIGEGtEglm09wbu/HgLgn7d15oYOARpXJMQlmBexrF9/movxdHFi1r3defvubuh1sGzbSb7edrJBXls0stZnQ83JLVBWoG0t4qpJqBFXbf2hHKZ8uxuAJ65rwwO9W2lckRCXYDSeWx7hCvrTXMpd0S2ZEN8OgJeW7+FwtkzSZ/F8W0GzNqBUywKXNkBCjbgq+9ILefKL7VQZFW6LCub5G6+sf4IQTSZnP5Tlg5M7BHZr8Jd/amBb88iop77YQVmlTNJn8eQSlM2QUCOuWFp+KaMXbuZMeRW9Wzfjzbu6yozBwvKlrFe3ob3AwbHBX95Br+Pd4VH4eRg4mFXEKz/ua/D3EA2szfXqVibhs3oSasQVKSitZPQnm8kqLKddgAcfPhiDwdFB67KEuLzk1eq2bXyjvYW/pwuzhkeh08GXm1P5YWd6o72XaADh/UDnAHlH1GUThNWSUCPqraiskrGfbuVQ1hkCvAx8MroX3q5OWpclxOVVFJ/rNxF5Y6O+Vb9IP8YNbAvAlG92kZJb3KjvJ66Cize0jFH35RKUVZNQI+rl+Kli7vhgI4kpebg7O/DxQz0J8XHVuiwh6iZlPVRXgE8r8Its9Ld75oZIeoU3o7iimnGLt8simJZMLkHZBAk1os42Hs7ltrl/kZx9Bn9PA1882ptOwd5alyVE3ZkuPUXeWOf1nq6Go4Oe2SO64+vmxN70Ql77aX+jv6e4Qqah3Sl/gFHCp7WSUCMuS1EUPk04xoMfbya/pJJuLb35cXw/okJ9tC5NiLpTFEheo+438qWn8wV6u/Cf4VEALEo4zqo9GU323qIeQqLB4AWlp9UZp4VVklAjLqmiysg/lu9h+vd7qTYqDIsKZuljcQR4uWhdmhD1k3MACk6Ao4vaMbQJDbzGn8cGtAbg+a93kXQiv0nfX9SBgyOE91f35RKU1ZJQIy7q1JlyHvxfIosTU9Hp4MUh7Xl3eBQuTjLKSVgh06Wn8P7g7Nbkb//cjdcQ3cqXorIq7pmfwJLNMsrG4pjmqzm6TtMyxJWTUCNqdSiriNvm/kViSh4eBkf+NyqGxwe0kRW3hfXS4NLT+Zwc9Cwc3ZMbOwZQUW3kxW93M+Xb3dJ52JKYOgunblJHygmrI6FGXKCsspoxi7Zw8nQp4c3dWP5UH65vL2s5CStWVgCpCep+5P9pVoanixPzH4jm+UHXmOewGf7hJjIKSjWrSZynWWvwDgNjJRz7S+tqxBWQUCMu8MHvhzmRV0qQtwvLn+pLW39PrUsS4uocXQfGKmgeCc0iNC1Fr9fx1MC2fPJQT7xdnUg6kc8t7//JpqOnNK1LoI6IM1+CkvlqrJGEGlFDSm4x8/84CsD0mzvi4+ascUVCNIDzh3JbiOuu8efHcf3oEORF7pkK7v9vIh//mYKiKFqXZt9kHSirJqFGmCmKwvTv91BRbWRAuxYM7hyodUlCXL0aQ7m1u/RUm7Dmbnz7RB9uiwqm2qjwzxX7GP/lDgpKKrUuzX5FDAB06sKnhbK8hbWRUCPMVu7OZENyLs6Oel65tZN0Cha2IXMXnMlSV+Vu1Ufrai7g6uzArOFRTL+5Iw56HSt2ZXDjrD9YdzBb69Lsk1szCO6u7ssoKKsjoUYAcKa8in+u2AvAEwPaEO7nrnFFQjQQ06Wn1teBo0HTUi5Gp9PxcL8Ivn48jtZ+7mQVlvPQJ1uY+t1uzpRXaV2e/ZFLUFZLQo0A4L1fD5FVWE6r5m48cV0brcsRouFY6KWn2nQP8+Wnp/szum84AIsTUxny3noSpRNx02p9Xmdho1HbWkS9SKgRHMgs5OO/jgHw8q2dZHI9YTtK8uDkFnXfCkINqJejZtzSicWPxhLi48qJvFLu/WgT/1qxj7JKmdOmSYT2Ui9XFudA1m6tqxH1IKHGzimKwkvL91BtVBjcKZCB1/hrXZIQDefIb6AYwb8TeLfUupp66dPGj1UT+jM8JhRFgf/9mcLQ2Rs4nF2kdWm2z9EAbc9OxLdtkba1iHqRUGPnvtmexpZjp3F1cmD6LR21LkeIhmUeym0dZ2n+ztPFiTfu6srHD8XQwtPAkZxiHvtsG6UVcsam0fUaq253fgml+ZqWIupOQo0dKyipZObK/QA8Ex9JsI+rxhUJ0YCM1XD4V3XfguanuRLXtw9g5dP98T8bbF47+/9WNKLw/uDfESpLYMdnWlcj6khCjR17a/UBThVX0Nbfg4f7ajvLqhANLn0HlJwCg7faR8LKtfA08M493QD4bNNx1u7P0rgiG6fTQezj6v7mBWpIFhZPQo2dWn8ohy8S1VWC/3VbZ5wd5Z+CsDGmS09tBoKDk7a1NJD+kS0Y00/9BWTy17vIKSrXuCIb1/UecG0G+alwcKXW1Yg6kG8yO/R9UhpjFm1BUeCO7iHEtWmudUlCNDwLXBqhITw/6BraB3pyqriCyV/vlGUVGpOTK0Q/pO5vmq9pKaJurijUzJ07l/DwcFxcXIiNjWXz5s2XbL9s2TLat2+Pi4sLXbp0YeXKmolXURSmT59OUFAQrq6uxMfHk5ycXKPNv//9b/r06YObmxs+Pj5XUrbdUxSFBeuP8MySJCqrFYZ2CeK1O7poXZYQDe9Mtnr5CaBtvLa1NDAXJwfeu7c7zo56fj+Yw2ebjmtdkm3r+QjoHOD4n5CxS+tqxGXUO9QsXbqUiRMnMmPGDLZv3063bt0YNGgQ2dm1T+m9ceNGRowYwZgxY9ixYwfDhg1j2LBh7Nmzx9zmzTffZPbs2cyfP5/ExETc3d0ZNGgQZWVl5jYVFRXcfffdPPHEE1fwMUW1UeGVH/fx2soDADzcN4L3R3SXOWmEbTJ1EA6KAs8ATUtpDNcEejJlSHsA/v3TfpKzZJh3o/EOgY63qfubP9S2FnFZOqWe5y5jY2Pp2bMnc+bMAcBoNBIaGsr48eN58cUXL2g/fPhwiouLWbFihfm+3r17ExUVxfz581EUheDgYCZNmsRzzz0HQEFBAQEBASxcuJB77723xustXLiQCRMmkJ+fX68PWlhYiLe3NwUFBXh5edXrudaurLKaiV8lsXJ3JgDThnbgkf6tNa5KiEa07CHY+x1cOxmu/4fW1TQKRVEY9ckW1h/KoUOQF8uf6oPBUX5JaRSpifDxjeBggIn7wN1P64rsSn2+v+t1pqaiooJt27YRH3/udK5eryc+Pp6EhIRan5OQkFCjPcCgQYPM7VNSUsjMzKzRxtvbm9jY2Iu+pqi7gpJKRn68mZW7M3Fy0DF7RHcJNMK2VZTA4d/UfRvrT3M+nU7H23d1pZm7M/szCnln9SGtS7Jdob3URS6ry2HbJ1pXIy6hXqEmNzeX6upqAgJqns4NCAggMzOz1udkZmZesr1pW5/XrIvy8nIKCwtr3OxNen4pd83fyOaUPDwNjix6uBe3dgvWuiwhGteuJVBeAD5hENJD62oalb+XC2/c2RWABeuP8tfhXI0rslE6HcSe7fqw5X9QXaltPeKibHb008yZM/H29jbfQkNDtS6pSe0+WcDtH/xFcvYZArwMLHsijj5t5JSpsHFGIyR8oO7HPgF6278c838dA7gvNgyAiV8lsftkgcYV2ahOt4NHABRlwL7vta5GXES9Qo2fnx8ODg5kZdWc9CkrK4vAwMBanxMYGHjJ9qZtfV6zLqZMmUJBQYH5duLEiSt+LWuzcncGd3+4kazCctoFePDtk31pH2hf/YiEnTq8Bk4lg8ELuj+gdTVNZtrQDrRp4U5WYTnDPviL138+IItfNjRHZ4gZo+5vmqdtLeKi6hVqnJ2diY6OZu3ateb7jEYja9euJS4urtbnxMXF1WgPsGbNGnP7iIgIAgMDa7QpLCwkMTHxoq9ZFwaDAS8vrxo3W6coCu+vTebJL7ZTVmlkQLsWfP1EH0Jk+QNhLxLUAQz0GAkutv9/3sTN2ZGvHovjlm7BVBsV5v9xhJtmb2DrsTytS7MtMaPBwRnStsLJrVpXI2pR78tPEydO5KOPPmLRokXs37+fJ554guLiYkaPHg3AyJEjmTJlirn9M888w6pVq3jnnXc4cOAAL7/8Mlu3bmXcuHGA2tltwoQJvPrqq/zwww/s3r2bkSNHEhwczLBhw8yvk5qaSlJSEqmpqVRXV5OUlERSUhJnzpy5ykNgG8oqq5mwNIl31qidBR/uG8H/RsXg5WIbM6kKcVkZuyBlvTqnSOxjWlfT5Jp7GHh/RHcWPBiNv6eBoznF3P1hAi//sJfi8iqty7MNHv7Q+U51P1Em47NEjvV9wvDhw8nJyWH69OlkZmYSFRXFqlWrzB19U1NT0evPZaU+ffqwePFipk2bxtSpU4mMjGT58uV07tzZ3Gby5MkUFxczduxY8vPz6devH6tWrcLFxcXcZvr06SxadG4J+O7duwPw+++/c91119X7g9uS7KIyxn66jaQT+TjqdbxyWyfuj22ldVlCNK1NZ/vSdLxN7SRsp27sFEhsRHP+vXIfX209ycKNx/h1fxZv3NmVvm2lX91Vi31cXbl773fwf/8CryCtKxLnqfc8NdbKVuep2ZdeyCOLtpBeUIa3qxPz7u9BH/nBJexNYQbM6gLGSnjkN2gZrXVFFmH9oRymfLubtPxSAB7tH8HUmzqg0+k0rszKfTwYUhPg2ufh+mlaV2PzGm2eGmFZ1h/K4a75G0kvKKO1nzvfPdlHAo2wT1s+UgNNaG8JNOe5tl0Lfnn2WkbFqWduP9qQwgfrjmhclQ0wrd699WOoKNa2FlGDhBorlVlQxvgvd1BSUU3fts357sm+tG7hoXVZQjS9imL1ywUg7ilta7FAHgZHXrmtM6/c2gmAt345yPIdaRpXZeXa3wy+4VByCrYtumxz0XQk1Fgho1HhuWU7KSitpEuIN5881AtvN+kQLOzUzi+h9DT4tIL2Q7WuxmKN6hPOo/0jAHj+651sPCIT9V0xB0fo96y6v3E2VJVrW48wk1BjhT7ZeIw/D+fi4qRn1r1RODvKX6OwU+dPttf7SbuYbO9qTBnSgaFdgqisVnjss20ckoUwr1y3EeAZrE7Gl7RY62rEWfJtaGUOZBbyxip1pe1pQzvSRi45CXuW/AvkHQGDN3S/X+tqLJ5er+Ode7oR08qXorIqRn+yhazCMq3Lsk6OBuj7tLr/57tQLcPmLYGEGitSVlnNhCVJVFQZub69P/fH2u+wVSEASJirbqNHgcFT21qshIuTAx+NjKG1nztp+aU8vHALZ2QemyvTYxS4+UH+cdjztdbVCCTUWJV3Vh/kQGYRzd2deePOrjIsU9i39CQ4tsFuJ9u7Gr7uziwc3Yvm7s7sTS/kqS+2U1VtvOLXO1NehdFoF7OD1OTsBnFPqvsb/qNeDhWaklBjJTYezuWjDSkAvHFnV1p4GjSuSAiNmSbb63Q7eLfUthYrFNbcjf891BMXJz1/HMph2vI91HfasooqI++sPki3V1bz8KItVNtjsOn5KLh4Q+5BOPCj1tXYPQk1VqCgpJJJy3YCcF9sGPEdAzSuSAiNFabDnm/UfRnGfcWiQn14f0QP9DpYsuUEj366lcPZdVt65lBWEXfM+4v3fztMtVFh3cEcPlxvh3PguHhBr7NnCte/DfYxn63FklBj4RRF4R/Ld5NRUEaEnzvThnbQuiQhtJf4IRirIKwPhPTQuhqr9n8dA/jXsM446HX8uj+bQbPWM235bnLP1D5M2WhU+O+Go9z8/p/sSSvEx82J+8727/vP6kPsOpnfhNVbiN5PgJM7ZO6C5DVaV2PXJNRYuO+T0lmxKwMHvY53h0fh5lzv5bqEsC2l+ecm2+szTtNSbMX9sa34ZcK1/F/HAKqNCp9vSuW6t9Yx57dkSiuqze1O5JUw4qNNvPrTfiqqjAy8pgWrJ1zLv4d1ZkjnQKqMCs8sSbK/BTTdmqkreANskLM1WpJQY6GMRoWfdmXw0vI9ADxzQyRRoT7aFiWEJdjyXygvhBYdoN0QrauxGW39PfhoZAxLxvama0tvzpRX8fbqQwx8ex3Ltp7gq60nGPLeBhJT8nBzdmDmHV34+KGe+Hu5oNPpmHlHF4K8XUjJLeafP+7T+uM0vT7jwcEAJxLh2J9aV2O3ZEFLC1NtVPhpdwbvr00m+ey17ZhWviwZ2xtHB8mgws5VFKsLV5acgjs+gq73aF2RTTIaFX7clc6bqw6aF8M0iWnlyzv3dKNVc/cLnrfxSC73/zcRRYF59/dgSBc7W8H6p0lq6G59HYz8XutqbIYsaGmFqo0Ky3ekceO7f/D0lztIzj6Dp4sjz9wQySeje0qgEQJg+6dqoPFpBZ3u0Loam6XX67gtKoS1kwYwZUh7PF0ccXLQ8cLg9ix9LK7WQAPQp40fj13bBoAXv91NRkFpre1sVt9nQO8IR9fBya1aV2OX5EyNxqqqjfywM505vx3maK662qu3qxNj+kXwUN9wvFxkTSchAKiqgPe6QVE63PwuxDysdUV240x5FaUV1XWaSqKiysid8zayO62AuNbN+fyRWBz0djSn1vInIekL9dLofUu0rsYmyJkaK7Ej9TQ3zd7AxK92cjS3GB83J567sR1/vjCQp2+IlEAjxPl2LVEDjUcgdLtP62rsiofBsc5zYzk76nnv3ihcnRxIOHqKjzYcbeTqLEy/ZwEdHPoZMvdoXY3dkVCjgbLKal5buZ87523kUNYZfN2cmDz4Gv584XrGXR+Jp4QZIWoyVqvr64A64snJRdt6xCW1buHBjFs6AvD2LwfZfbJA44qakF+kOiEkwK8vy0ioJiahpoltOZbHkPc2sGD9UYwK3N49hN8mXceT17XFwyDDtYWo1b7lkHcUXH0herTW1Yg6GN4zlMGdTMO8d9jXMO+B/wAHZzi8Bg6s0LoauyKhpomUVFTx8g97uefDBFJyiwnwMvC/UTG8OzwKX3dnrcsTwnIpirquDkDsE2CQlemtgWmYd6CXC0dzi3lk0VZKKuwk2Pi1hT5nV/D++UV11J5oEhJqmsDGI7kMmrWehRuPoShwT0xLVj87gBs6yHIHQlxW8mrI2gPOHtDrUa2rEfXg6+7M3Pt74O6s9q8Z9fFm+1kRvP8k8A6DwpOw/i2tq7EbEmoaUWlFNdO/38N9HyVyIq+UYG8XFj3cizfv6oa3q/SbEeKyFEVdTwfU0U5uzbStR9RbdCtfPnskFk8XR7YcO82D/0ukoLRS67Ian7MbDHlD3d84B3IOaVuPnZBQ00h2nshn6OwNfJpwHFAXovzl2WsZ0K6FxpUJYUWO/wUnN6sztcrClVarR5gvXzwSi7erEztS83nwf4nkl1RoXVbja38TtBsMxkpYOUk6DTcBCTUNrKrayHu/JnPHvI0cPdt35tOHe/Ha7V1kVJMQ9bXhHXXb/QHwDNS2FnFVurb0YfGjsTRzd2bXyQLu+yiRvGI7CDZD3gBHF0hZf25ledFoJNQ0oJTcYu6an8C7vx6i2qgwtEsQv0y4lmvl7IwQ9Ze2HY78BjoH6Pu01tWIBtAp2JsvH+2Nn4eBfRmFjFiwiZyi2lcDtxm+4Wr/GoBf/gFlhZqWY+sk1DQARVH4IvE4N723gaQT+Xi6ODJreBRz7uuOj5uMbBLiivx5dsRTl7vVLwZhE64J9GTJ2N74exo4mFXEvQsSyCos07qsxtXnaWjWGs5kwrrXta7GpkmouUrZRWU8vHAL//huD6WV1cS1bs6qCdcyrHsIOp0dTQ0uREM69ifs/xHQQf+JWlcjGlhbfw+WPhZHkLcLR3KKuefDBI7l2vCwZycXuOnsCKjE+ZC1V9t6bJiEmqu0em8Wvx/MwdlRz7ShHfjikVhCfFy1LksI65W2DRbfq+53vQdaXKNtPaJRRPi589VjcbT0deX4qRLumLeRbcdPa11W42kbDx1uBaVaXc1bOg03Cgk1V+n+2DAe7hvBj+P68Uj/1ujtaeE2IRpa1j74/E6oKILw/nDLe1pXJBpRaDM3vn2yD11CvMkrruC+jzbx8+4MrctqPINngpM7pCbAzi+1rsYmSai5Sjqdjum3dOSaQE+tSxHCup06Ap/eBqWnISQGRnwJTnLW09b5e7qwZGxvbmjvT3mVkScXb+e/G46i2OKZDO+WMGCyur/6JTiTrW09NkhCjRBCe/mpsOhWKM6GgC7wwNdgkF8U7IW7wZEPH4zmwd6tUBR49af9vPzDXqqNNhhsej8JLTpASS58cReUF2ldkU2RUCOE0FZRpnqGpvAk+LWDB79TF64UdsXRQc8/b+vEP27qAMCihOM89pkNrhfl6Az3fgFufpCxE5Y+CFV2MF9PE5FQI4TQTkkefDpMXYHbJwweXA4eMq+TvdLpdDx6bWs+uL8Hzo56ft2fzfAPN7H1WB4FJTa0tELzNnD/V2r/mqO/ww/jwGjUuiqboFNs8sLlhQoLC/H29qagoAAvLy+tyxFClBWol5wyksAzCEb/DM0itK5KWIhtx/N4ZNFWTp8XZvw8DLRp4U5bfw/a+nvQpoUHHYK8aOFp0LDSq5D8K3w5HIxV0PcZ+L9/al2RRarP97eEGiFE08vYBd8/BZm7wK25Gmhk6Lb4m5TcYv790372pBWQeZEJ+pwcdLxxZ1fu6NGyXq+tKAopucWEN3fXdtRq0pew/HF1f/Dr0PsJ7WqxUBJqaiGhRggLUH4G1s2ETfPU+TpcfGDUDxDUTevKhIU7U17FkewzHMlRb4ezz3Ao6wwpucU46HV8+EA08R0D6vRaRqPCS9/v4YvEVPpH+vG/UT1xdtSwN8aG/8DaVwAd3PU/6HyndrVYIAk1tZBQI4TGDvwEKyerHYIBOt2u/mYqC1WKK2Q0Kjz39U6+3Z6GwVHPZ2Ni6RXR7JLPqTYqvPjNLpZtO2m+744eIbxzdzftZoFXFPj5Bdj8ITg4wwPfQMS12tRigerz/S0dhYUQjavgJCy5H5bcpwYan1Zw/zdw90IJNOKq6PXqpSfTHDdjFm5hX/rFF4ysqjYy6asklm07iV4HY/pF4KDX8e32NN5efbAJK/8bnU6dmK/jbVBdof5/ydytXT1WTEKNEKJxVJRAwlyYGwsHVoDeEfo9C09ugsh4rasTNsLJQc/c+3vQK7wZReVVjPx4M8dPXbiOVGW1kWeWJLE8KR1HvY73R/TgpZs7MvOOLgDM/f0In2063tTln6N3gNsXQKt+UF4IC4fC4V+1q8dKyeUnIUTDUBTIOQhH1qo/jI/9BdXl6mOhveHmdyGgo7Y1CptVUFrJvQs2sT+jkNBmrnzzeB/8vVwAKK+qZtziHazZl4WTg4659/Xgxk7nzhLOXpvMf9YcQq+D+Q9E13isyZXmwxd3w8nNoNND/MvqKt92vECy9KmphYQaIRpBaT6krFdDzOG15/rLmHiHwbWToPtI0MuJYdG4sovKuHt+AsdPldA+0JOlY+MwOOl54vNt5oWHP3wgmoHt/Ws8T1EUpn63my83n8DgqGfxo72JbqXhBJBV5bDyOdj+qfrnznfCrXPA2U27mjQkoaYWEmqEuAqKAvnHIXMPZO1Rr/dn7YHTx2q2czBAeF91ReK28eoMwXb8G6ZoeqmnSrhz/kZyisqJaeWLq7MDG5JzcXHS89+RPekX6Vfr86qqjTz22TbWHsjGx82Jb57oQ5sWHo1SY7VRocpoxODocPFGigJb/6d2IDZWQWAXGP4F+LZqlJosmYSaWkioEeIK7FwC2xapAab8Ih0wm7c9F2Ja9bXb3yaF5difUcg9HyZQVKYuseDm7MDHD/Wkd+vml3xeSUUVIz5KZOeJfFr6uvLtk33w93QxP64oCsUV1ZwuriC/pBIHvY7mHs74ujlfdEh4eVU1hzLPsCe9gL3pBexJK+RAZiFODnoWPBhDXJtL18TxjfDVSCjOAddmagf71gPqdTysXaOHmrlz5/LWW2+RmZlJt27deP/99+nVq9dF2y9btoyXXnqJY8eOERkZyRtvvMFNN91kflxRFGbMmMFHH31Efn4+ffv2Zd68eURGRprb5OXlMX78eH788Uf0ej133nkn7733Hh4edUvSEmqEqKe/ZsOal8792cFZnSAvsCsEdIbAzurW7dJDaIXQwtZjeTz4v8046nV8MronMeF1+3eae6acu+Zt5NipEsKauRHk7UJ+SSWnSyo4XVJBZXXtX5meBkeaeTjTzN2Z5u7OuDo7cjj7DMlZRVRdZGFOg6Oej0bGcG27yywNYhpBmJEEOgf4v1cgLA4qiqGy5LxtCVQWg7MHBPeAoK7gaKWzLZ+nUUPN0qVLGTlyJPPnzyc2NpZZs2axbNkyDh48iL+//wXtN27cyLXXXsvMmTO5+eabWbx4MW+88Qbbt2+nc+fOALzxxhvMnDmTRYsWERERwUsvvcTu3bvZt28fLi5qSh4yZAgZGRl8+OGHVFZWMnr0aHr27MnixYsb/KDYjYqSxvmtWlEg9xBUV6ojXhyc1O35+84e6sJuwjJteAfWnp2yPW4cRN2nXkpycNK2LiHqIaeoHCcHHT5u9ftZc/xUMXd8sJFTxbUvNOnsqMfXzYmqaoXTJRVcbjFxHzcnOgd70ynYi04h3rQP9OSNnw+w9kA2zg56Pri/x+UnDqwshR8nwK4ldf8geic12ITEQMuzN98Iq7sk3KihJjY2lp49ezJnzhwAjEYjoaGhjB8/nhdffPGC9sOHD6e4uJgVK1aY7+vduzdRUVHMnz8fRVEIDg5m0qRJPPfccwAUFBQQEBDAwoULuffee9m/fz8dO3Zky5YtxMTEALBq1SpuuukmTp48SXBw8GXrbrRQU3wKEudDQCf1t9ZmEerQPEu3aT78MhVCY+GmN9XrtVershR2faXOFpuz/9JtHQzQZiC0HwrthjTcIoalp9VVnwHQnf3Pe95WrwfvUOv/clYUtT9LaoJ6Ky+C6NHqhF1X8wNLUeCPN9RZfwEG/gMGTG6QkoWwJpkFZfx+MBt3gyO+bk74ujnj6+6Mr5sTrk4O5on6jEaFgtJKThVXkHferaisknA/dzqHeBPs7XLBxH4VVUae/nIHq/Zm4qjXMXtEd27qEnTpohQFEj+ETXNBQf2l1MkNnN3Pbt3URTJLcuHkVnX7d27NoVUfaHM9tLnBKvroNFqoqaiowM3Nja+//pphw4aZ7x81ahT5+fl8//33FzwnLCyMiRMnMmHCBPN9M2bMYPny5ezcuZOjR4/Spk0bduzYQVRUlLnNgAEDiIqK4r333uPjjz9m0qRJnD592vx4VVUVLi4uLFu2jNtvv/2C9y0vL6e8vNz858LCQkJDQxs+1BxeC5/fce7Pjq7g3+FcyAnopN7qe4q+/Axk74dTyeqXcMue4ORy+efVxcY5sPof5/6s00PPR2HgVHD1qf/rFWXBlv+qndpKTqn3ObqCi5d6tsZYdXZ7dv8COjVctR+q3pq3qdv7VpaqawilbYP07eo27+jln+cZBL3GQsxocNVwhEN9GKvVfi2pm9Rr7Kmb4Ezmhe3C+sB1L15ZuFEU+O1V2PC2+uf4l9V5ZYQQjaKq2sjEr3byw8509Dr4zz1RDOse0jAvburcf3KrekvbChk71cn9zte8LbS5gYrw6/ixoDWJaeV0CPKid+vmXBPgqe26WGfVJ9Q41ueFc3Nzqa6uJiCg5mmygIAADhw4UOtzMjMza22fmZlpftx036Xa/P3SlqOjI82aNTO3+buZM2fyyiuv1PGTXQW35tD9Qcjaq4aQqlL1CzZ9e812Lt7gG177zWhUv7Cy96mvc7FRJS1j1I6Y4f3UkHMll47+eg/WTFf3ez+lDsHd9706Pfeeb9Rrtd3uq9vw24xdsOkD2P21GlhAHcIb+xj0eFD9zH+nKOoXdO5BOLBSnZQtIwlObFJva16CFh2gRTv1MpXO4eylK/25P1eXq/85s/ap6wf9nWsz9QtdUQDlvC3qc4sy1HVW1r8F3R+A2MfrHqSuVM5BOLYB3PzAKwS8gsEjABxq+S9Yknfu31P2XvVzZu+DijM12+mdIKQHhPVWLyVu/xRSN8Knt9Y/3CiK+u9i42z1z4Neg7inrv5zCyEuytFBz7vDozA46lm27STPfpVEeVU1w3uGXf2L63TnvmO63KXeV1Wu/tw++jsc+Q1ObIZTh+HUYZw3f8gtigOhSltyd3qzW3Flh6MbXj7N8ffzo2VgAIH+LdB7Bam/sF/JL8BNoF6hxppMmTKFiRMnmv9sOlPT4IKj4Db1UhzGashLUUNJ1t5zASX/OJQVqF/EGTvr/toeAdA8Uj1bcyYLjv+l3ta/efYLLVrtBR8zBjzrsJCbedE0YMCL6peeTgdHfoefJ6v9YL5/CrYthJveguDualtFgcJ09ZJSzkH1yzZztxpGTEJjofeT0P7m2r+oTXQ69XHTGawBz0P+CTj4Mxz8CY79efZ9LnP5ysTdXw17wT3UL/jg7pc+K1ZVDnu+hYQ56t/N5gWw+SP1DFHcU2rnu4a83pxzUL2cs+db1FR1Hp0ePALVgOMVrIaWrH21n4EBcPaEsFg1xIT1UT+vk+u5x/tPhD9nqX9/pnDTqq/69xze/+KfS1HUS5GbPlD/POQtiB17lR9cCFEXDmeXejA46fl8UyovfLOb8iojI+PC6/waRqNCal4JBzKLOJhZRFlVNa393Gnj70EbPw+83c5ebnc0QGhPlJYxbG31CEvW76Hk4O/01e3kWv0uwvQ59NL9bbmI/LO3wzXvLnULQR/UBUPLKLX7QmAX8AnTvL9OvUKNn58fDg4OZGVl1bg/KyuLwMDaZ2AMDAy8ZHvTNisri6CgoBptTJejAgMDyc7OrvEaVVVV5OXlXfR9DQYDBkMT9/rWO4BfW/XWadi5+yuKIT9VPftS2w3d2UtWHdUE7N9R/cJ3PzufgqLAqSPqb/rH/1Jnai1KP3d246/Z6pdQ3wkX/0Jf/5Z6aQHguqlw3QvnHmszEB7/S+0b9McbcHILLBgI7Qapl5NyDtY+nFfnoH7O3k9By+grP24+oWr9sWPVPjFHflff11ilBkVjlXpGxnj2ptOpxyikh3rWoz7/iRwNEDUCut2rThqXMAeSV6tnjA6sUI+/bzgYPNXOzAZPMHiAwUv9s3eIGqAMlxl1l5usHsvdX2MOM+H91ctwhenq35+xSt0WpUPa349JGPh3Uv9N+J+9tbjm0v21vILV/lH9JpwLN8f/gkW3qMfJM1ANyh7+NbeH18K2T9TXuPldiHm47sdTCHHV9Hod/7qtMwZHB/73ZwrTv9/L+kO5tPA04OXqiJeLE54u57aODnqOZJ/hQGYhBzOLOJR1htLKWs5an+XnYaBNCzXkBHu7sGpvJnvSTD/TYzjd+kZa9AknJKAYh4ztUFZAdVkhObm55OTmUpifR1lxPm7GEkL12bTU5eJakgZH0uDIKvP7VDp5Ut12EC7D/9fIR+zirqijcK9evXj//fcBtaNwWFgY48aNu2hH4ZKSEn788UfzfX369KFr1641Ogo/99xzTJo0CVDPqvj7+1/QUXjr1q1ER6tfnqtXr2bw4MHadxS+Wkajuq3PbKuKAqdT1LMa2z9VQwiov8nHPQVxT9a89LPu9XMdP69/Ca597uKvXZiuXobYvazm/XpHaNZG/WJt0R7826tnNbwuf+wtXs5B9SzFziVQVXb59joHdThzaOy5m3dLNVydOgJ/vAm7vwLl7N9t+5vVsyXnd8Y2GtV5JwrT1GNemKYOmQ7opAZcg+fVf67CdPjzXTXc/P06+oUfCm59X71sKITQhKIovL36IHN/P1Lv5zo76on09+CaQE/cnR05mnuGI9nFZBbW/jPN4Kjn9u4hjOoTToegy38nVlUb2Z1WQNKJfA6nnqTs5C68C/bTgeN01B8nUncSZ101fzr3pd/UlfWu/1IafUj3qFGj+PDDD+nVqxezZs3iq6++4sCBAwQEBDBy5EhCQkKYOVP9Et24cSMDBgzg9ddfZ+jQoSxZsoTXXnvtgiHdr7/+eo0h3bt27bpgSHdWVhbz5883D+mOiYmRId2Kop5p+O1f51Z1dfGBvs+ofVv+ek89YwD16/hp6pDqG65+yTZrY/tDsItz4eg69VJheZF6Oai8SO20XV6o7ucmX7gUAIBnsHqG7thf5/r5tBuihpngqKb8FBcqyVMvi57JVC9jnsk+ty3KVPsZ9Z1w7rq7EEJTfybnciiriMKySorKqigsVbdF5ZUUllZRXlVNeHN32gd6ck2gF9cEehLe3A1Hhwt/OT5TXsXRnDMcyVFDzvG8EjoGeXFvz1B83a/uZ3pJRRX70gvZnVbAvhO5FJzYS5eW3owfceHgnavR6JPvzZkzxzz5XlRUFLNnzyY2NhaA6667jvDwcBYuXGhuv2zZMqZNm2aefO/NN9+sdfK9BQsWkJ+fT79+/fjggw9o166duU1eXh7jxo2rMfne7NmzZfI9E6MR9v8Av7+mdsIF9ZKJ6bLR//0L+j6tXX22pOCk2sHuRKJ6y9hVs8Ny5CA1zIT00K5GIYTQgKIoFwxfv1qyTEItbD7UmBir1bli1s1UOyiDjGRpbBXFkLZd7RjesufV9S8SQghRg4SaWthNqDGprlRH3Lh4wTVDtK5GCCGEuCKNNk+NsCIOTtBtuNZVCCGEEE2mHkNuhBBCCCEsl4QaIYQQQtgECTVCCCGEsAkSaoQQQghhEyTUCCGEEMImSKgRQgghhE2QUCOEEEIImyChRgghhBA2QUKNEEIIIWyChBohhBBC2AQJNUIIIYSwCRJqhBBCCGETJNQIIYQQwibYzSrdiqIA6hLmQgghhLAOpu9t0/f4pdhNqCkqKgIgNDRU40qEEEIIUV9FRUV4e3tfso1OqUv0sQFGo5H09HQ8PT3R6XQN+tqFhYWEhoZy4sQJvLy8GvS1bZEcr/qTY1Y/crzqR45X/ckxq5+rOV6KolBUVERwcDB6/aV7zdjNmRq9Xk/Lli0b9T28vLzkH3c9yPGqPzlm9SPHq37keNWfHLP6udLjdbkzNCbSUVgIIYQQNkFCjRBCCCFsgoSaBmAwGJgxYwYGg0HrUqyCHK/6k2NWP3K86keOV/3JMaufpjpedtNRWAghhBC2Tc7UCCGEEMImSKgRQgghhE2QUCOEEEIImyChRgghhBA2QULNVZo7dy7h4eG4uLgQGxvL5s2btS5JM+vXr+eWW24hODgYnU7H8uXLazyuKArTp08nKCgIV1dX4uPjSU5OrtEmLy+P+++/Hy8vL3x8fBgzZgxnzpxpwk/RNGbOnEnPnj3x9PTE39+fYcOGcfDgwRptysrKeOqpp2jevDkeHh7ceeedZGVl1WiTmprK0KFDcXNzw9/fn+eff56qqqqm/ChNZt68eXTt2tU8eVdcXBw///yz+XE5Xpf2+uuvo9PpmDBhgvk+OWY1vfzyy+h0uhq39u3bmx+X43WhtLQ0HnjgAZo3b46rqytdunRh69at5seb/Oe+Iq7YkiVLFGdnZ+Xjjz9W9u7dqzz66KOKj4+PkpWVpXVpmli5cqXyj3/8Q/n2228VQPnuu+9qPP76668r3t7eyvLly5WdO3cqt956qxIREaGUlpaa2wwePFjp1q2bsmnTJmXDhg1K27ZtlREjRjTxJ2l8gwYNUj755BNlz549SlJSknLTTTcpYWFhypkzZ8xtHn/8cSU0NFRZu3atsnXrVqV3795Knz59zI9XVVUpnTt3VuLj45UdO3YoK1euVPz8/JQpU6Zo8ZEa3Q8//KD89NNPyqFDh5SDBw8qU6dOVZycnJQ9e/YoiiLH61I2b96shIeHK127dlWeeeYZ8/1yzGqaMWOG0qlTJyUjI8N8y8nJMT8ux6umvLw8pVWrVspDDz2kJCYmKkePHlV++eUX5fDhw+Y2Tf1zX0LNVejVq5fy1FNPmf9cXV2tBAcHKzNnztSwKsvw91BjNBqVwMBA5a233jLfl5+frxgMBuXLL79UFEVR9u3bpwDKli1bzG1+/vlnRafTKWlpaU1Wuxays7MVQPnjjz8URVGPjZOTk7Js2TJzm/379yuAkpCQoCiKGiL1er2SmZlpbjNv3jzFy8tLKS8vb9oPoBFfX1/lv//9rxyvSygqKlIiIyOVNWvWKAMGDDCHGjlmF5oxY4bSrVu3Wh+T43WhF154QenXr99FH9fi575cfrpCFRUVbNu2jfj4ePN9er2e+Ph4EhISNKzMMqWkpJCZmVnjeHl7exMbG2s+XgkJCfj4+BATE2NuEx8fj16vJzExsclrbkoFBQUANGvWDIBt27ZRWVlZ43i1b9+esLCwGserS5cuBAQEmNsMGjSIwsJC9u7d24TVN73q6mqWLFlCcXExcXFxcrwu4amnnmLo0KE1jg3Iv7GLSU5OJjg4mNatW3P//feTmpoKyPGqzQ8//EBMTAx33303/v7+dO/enY8++sj8uBY/9yXUXKHc3Fyqq6tr/OMFCAgIIDMzU6OqLJfpmFzqeGVmZuLv71/jcUdHR5o1a2bTx9RoNDJhwgT69u1L586dAfVYODs74+PjU6Pt349XbcfT9Jgt2r17Nx4eHhgMBh5//HG+++47OnbsKMfrIpYsWcL27duZOXPmBY/JMbtQbGwsCxcuZNWqVcybN4+UlBT69+9PUVGRHK9aHD16lHnz5hEZGckvv/zCE088wdNPP82iRYsAbX7u280q3UJYqqeeeoo9e/bw559/al2KxbvmmmtISkqioKCAr7/+mlGjRvHHH39oXZZFOnHiBM888wxr1qzBxcVF63KswpAhQ8z7Xbt2JTY2llatWvHVV1/h6uqqYWWWyWg0EhMTw2uvvQZA9+7d2bNnD/Pnz2fUqFGa1CRnaq6Qn58fDg4OF/R8z8rKIjAwUKOqLJfpmFzqeAUGBpKdnV3j8aqqKvLy8mz2mI4bN44VK1bw+++/07JlS/P9gYGBVFRUkJ+fX6P9349XbcfT9JgtcnZ2pm3btkRHRzNz5ky6devGe++9J8erFtu2bSM7O5sePXrg6OiIo6Mjf/zxB7Nnz8bR0ZGAgAA5Zpfh4+NDu3btOHz4sPwbq0VQUBAdO3ascV+HDh3Ml+y0+LkvoeYKOTs7Ex0dzdq1a833GY1G1q5dS1xcnIaVWaaIiAgCAwNrHK/CwkISExPNxysuLo78/Hy2bdtmbvPbb79hNBqJjY1t8pobk6IojBs3ju+++47ffvuNiIiIGo9HR0fj5ORU43gdPHiQ1NTUGsdr9+7dNX4grFmzBi8vrwt+0Ngqo9FIeXm5HK9a3HDDDezevZukpCTzLSYmhvvvv9+8L8fs0s6cOcORI0cICgqSf2O16Nu37wVTURw6dIhWrVoBGv3cr3fXYmG2ZMkSxWAwKAsXLlT27dunjB07VvHx8anR892eFBUVKTt27FB27NihAMp//vMfZceOHcrx48cVRVGH9vn4+Cjff/+9smvXLuW2226rdWhf9+7dlcTEROXPP/9UIiMjbXJI9xNPPKF4e3sr69atqzF8tKSkxNzm8ccfV8LCwpTffvtN2bp1qxIXF6fExcWZHzcNH73xxhuVpKQkZdWqVUqLFi1sdvjoiy++qPzxxx9KSkqKsmvXLuXFF19UdDqdsnr1akVR5HjVxfmjnxRFjtnfTZo0SVm3bp2SkpKi/PXXX0p8fLzi5+enZGdnK4oix+vvNm/erDg6Oir//ve/leTkZOWLL75Q3NzclM8//9zcpql/7kuouUrvv/++EhYWpjg7Oyu9evVSNm3apHVJmvn9998V4ILbqFGjFEVRh/e99NJLSkBAgGIwGJQbbrhBOXjwYI3XOHXqlDJixAjFw8ND8fLyUkaPHq0UFRVp8GkaV23HCVA++eQTc5vS0lLlySefVHx9fRU3Nzfl9ttvVzIyMmq8zrFjx5QhQ4Yorq6uip+fnzJp0iSlsrKyiT9N03j44YeVVq1aKc7OzkqLFi2UG264wRxoFEWOV138PdTIMatp+PDhSlBQkOLs7KyEhIQow4cPrzHnihyvC/34449K586dFYPBoLRv315ZsGBBjceb+ue+TlEUpf7nd4QQQgghLIv0qRFCCCGETZBQI4QQQgibIKFGCCGEEDZBQo0QQgghbIKEGiGEEELYBAk1QgghhLAJEmqEEEIIYRMk1AghhBDCJkioEUIIIYRNkFAjhBBCCJsgoUYIIYQQNkFCjRBCCCFswv8DmNfGQNOygK8AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "W = explo.model.transform(explo.X_train_sc) # mixture array\n", "H = explo.X_scaler.inverse_transform(explo.model.components_) # components in the original space\n", "plt.plot(x,H.T) # plot" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can modify hyperparameter and refit the data with the refit function." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NMF(init='nndsvd', max_iter=4000, n_components=2, tol=1e-12)\n" ] }, { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "explo.model.tol=1e-12\n", "explo.model.n_components=2\n", "explo.model.max_iter = 4000\n", "explo.model.solver=\"cd\"\n", "explo.model.alpha=0.1\n", "print(explo.model)\n", "explo.refit()\n", "W = explo.model.transform(explo.X_train_sc) # mixture array\n", "H = explo.X_scaler.inverse_transform(explo.model.components_) # components in the original space\n", "plt.plot(x,H.T)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now if we try a PCA..." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "explo.algorithm = 'PCA'\n", "explo.nb_compo = 2\n", "explo.fit()\n", "\n", "H_PCA = explo.X_scaler.inverse_transform(explo.model.components_)\n", "plt.plot(x,H_PCA.T)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "kernelspec": { "display_name": "gpvisc", "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 2 }