{ "metadata": { "name": "G121_TSA" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": "Time Series Practicals for GEOGG121" }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "1. Data" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Today, we will be using the in situ CO2 measurements from Mauna Loa Station (http://www.esrl.noaa.gov/gmd/obop/mlo/programs/esrl/co2/co2.html). The data can be downloaded from : ftp://aftp.cmdl.noaa.gov/data/trace_gases/co2/in-situ/surface/mlo/co2_mlo_surface-insitu_1_ccgg_month.txt. We can start from examine the data file (read the header information, etc.), if you haven't used this data set before. Then, we can download this file to your perferred data directry." }, { "cell_type": "code", "collapsed": false, "input": "!wget ftp://aftp.cmdl.noaa.gov/data/trace_gases/co2/in-situ/surface/mlo/co2_mlo_surface-insitu_1_ccgg_month.txt\n!mv co2_mlo_surface-insitu_1_ccgg_month.txt mlo_co2.txt ", "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "How many columns are in the file? Let's use a column-friendly function from numpy, the loadtxt function, to read this file into an array." }, { "cell_type": "code", "collapsed": false, "input": "import numpy as np\nco2 = np.loadtxt(\"mlo_co2.txt\", comments=\"#\", usecols=(3,), unpack=False)[4:] #skiprows=4, \nyearmonth = np.loadtxt(\"mlo_co2.txt\", comments=\"#\", usecols=(1,2), dtype=int, unpack=True)[:,4:] #skiprows=4, ", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "What are the shapes of co2 and yearmonth data? What does each input parameter do when loading txt, e.g. usecols=(1,2,3)? Numpy.loadtxt can take many parameters, which is very handy. Take a look of its manual (http://docs.scipy.org/doc/numpy/reference/generated/numpy.loadtxt.html). Also, note that we cut out the first four rows, because there is no data for the first four months." }, { "cell_type": "code", "collapsed": false, "input": "print co2.shape, yearmonth.shape", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "(464,) (2, 464)\n" } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Now we can plot the CO2 data. Before we do that, we can convert the year and month coloumns into datetime format, and then lable the x-axis with the datetime." }, { "cell_type": "code", "collapsed": false, "input": "import datetime as DT\n#assume all days are the first day of month\ndays = np.ones_like(co2, dtype=int)\n#year,doy = datetime.datetime(data[4:,0], data[4:,1], days).strftime('%Y %j').split()\n#months = data[4:,1]\n\ndates = []\n\nfor i in np.arange(len(days)):\n dates.append(DT.datetime(yearmonth[0][i], yearmonth[1][i], days[i]))\n \nprint \"Mauna Loa CO2 serie starts from %s, and ends at %s\"%(dates[0], dates[-1])", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Mauna Loa CO2 serie starts from 1974-05-01 00:00:00, and ends at 2012-12-01 00:00:00\n" } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": "plt.figure(figsize=(20,5)) #make figure wider\nplt.plot(dates,co2)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": "[]" }, { "metadata": {}, "output_type": "display_data", "png": 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47TZ4/32oXt0+++svuO46SEyEq6/2fW+HA2bNghdfhJ070zd+zkhq6vlm0OHh7tenpMCd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\nR6ZOtZo3c+dmXSvn1lutu9WRI/6P4XJJ990nRUf71l69Wze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"text": "" } ], "prompt_number": 5 }, { "cell_type": "raw", "metadata": {}, "source": "Alternatively, we can use relativedelta to generatoe a series of dates.\nSample code:\n firstday = \n numdays = \n dateList = [ firstday + relativedelta(days=x) for x in range(0,numdays) ]" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Firstly, we can draw a straight line to fit our co2 data, by using scipy.stats (http://docs.scipy.org/doc/scipy/reference/stats.html)" }, { "cell_type": "code", "collapsed": false, "input": "import scipy.stats as stats\n\nindex = np.arange(len(co2))\n\nco2_lin = stats.linregress(index, co2)\nco2_predict = co2_lin[0] * index + co2_lin[1]\n\n#figure(figsize=(20,5))\nplot(dates, co2)\nplot(dates, co2_predict)\ntitle('Mauna Loa CO2 Concentation')\nxlabel('Year')\nylabel('CO2 (ppm)')\nfigtext(0.15, 0.8, 'r = '+str(co2_lin[2]), size='x-large')\nfigtext(0.15, 0.75, 'intercept = '+str(co2_lin[1]), size='large')\nfigtext(0.15, 0.7, 'slope = '+str(co2_lin[0]), size='large')", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": "" }, { "metadata": {}, "output_type": "display_data", "png": 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fQna25B4iJgYID5dcPri6luSfPAmMGVNy7OoqrREAwKFDQOvWwInkE5i0bxKS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"text": "" } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "It looks like the trend is not perfectly linear. This is more obvious when we plot the residuals:" }, { "cell_type": "code", "collapsed": false, "input": "#calculate residuals\nco2_lin_redis = co2 - co2_predict\nfigure(figsize=(20,5))\nplot(dates, co2_lin_redis)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": "[]" }, { "metadata": {}, "output_type": "display_data", "png": 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0LfZ0dIy3aYeq29PURNfrzJm0UPDJyAgVwFeLn3PPFbFHEAShEiiu2QP4j3Il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\nIiIiIqICwrCHiIiIiIiIiKiA/H+vjw2TS83ZeAAAAABJRU5ErkJggg==\n", "text": "" } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "2. New libraries " }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "A new library we will use today is the statsmodels (https://pypi.python.org/pypi/statsmodels). Statsmodels provides a series of statistical and time sereis tools, including OLS, AR, MA, ARMA, ARIMA, FFT, etc. \nSome examplary uses can be found here: http://jarrodmillman.com/scipy2011/pdfs/statsmodels.pdf" }, { "cell_type": "code", "collapsed": false, "input": "import statsmodels.api as sm\ntsa = sm.tsa\nimport statsmodels.formula.api as smf\nindex_const = sm.add_constant(index)\nco2_model = smf.GLM(co2, index_const).fit()\nprint co2_model.summary()\nco2_pr = co2_model.predict()\n#plot(dates, co2)\n#plot(dates, co2_pr)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": " Generalized Linear Model Regression Results \n==============================================================================\nDep. Variable: y No. Observations: 464\nModel: GLM Df Residuals: 462\nModel Family: Gaussian Df Model: 1\nLink Function: identity Scale: 6.35942699131\nMethod: IRLS Log-Likelihood: -1086.6\nDate: Thu, 12 Dec 2013 Deviance: 2938.1\nTime: 21:25:06 Pearson chi2: 2.94e+03\nNo. Iterations: 3 \n==============================================================================\n coef std err t P>|t| [95.0% Conf. Int.]\n------------------------------------------------------------------------------\nconst 327.6770 0.234 1401.740 0.000 327.219 328.135\nx1 0.1384 0.001 158.347 0.000 0.137 0.140\n==============================================================================\n" } ], "prompt_number": 61 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": "2.1 AR & MA" }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": "Now, let's explore this series with classical time series analysis methods." }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": "2.2 ARMA" }, { "cell_type": "code", "collapsed": false, "input": "import statsmodels.api as sm\ntsa = sm.tsa\nhelp(tsa.ARMA)", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": "#Testing ARMA(1,1) for Original Series\n\narma_mod = tsa.ARMA(co2, order=(1,1))\narma_res = arma_mod.fit(trend='c', disp=-1)\narma_pred = arma_res.predict()\n\nprint arma_res.params\nprint \"AIC = %f, BIC = %f\"%(arma_res.aic,arma_res.bic)\n\nplt.figure(figsize=(20,5))\nplot(dates,arma_pred)\nplot(dates,co2)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "[ 362.86827751 0.99825572 0.69159428]\nAIC = 1240.736430, BIC = 1257.295968\n" }, { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": "[]" }, { "metadata": {}, "output_type": "display_data", "png": 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Bge+Pn7p1igt3L3DauVWibMkyT25Ou2Lt2NN7Lk8n/E3BzDZs3gzp0iV8Lfm0\nGUwmk+mDFzUY+AhlRURERERE5AO4/ew2HTd1xO3icfKGtMQsx2n87l7B7NBI2hTqwtdfg6Nj3POH\nG8PpurUr+88f5+nC9fT5uhBDh0Z+oPHjF4/JPSk3TgGXKVrgC376Kfoaz8OeU2RmER4tn8PRFXUo\nVChua30U+gjrSdY0OHub6pVT06PHu+NNnZtSOFU1VvT6iWvXwMwsbnViIigIcuaM+RY2+fxE1W/R\nG0AiIiIiIiKSYEwmEz229cDCWIB0cwM5NHA2p/t6cPSHnZjVH0geu3u0aAEXL8Y9f59dfdh34hrG\neUfZvLAQw4ZFfZtVhpQZaGDTAEOx1TE+B+iPg39QIGV5rELj3vwBsEhlQcnsJclZbdt728AOXjuI\nT7APLw71pGPHxG3+AFhZqfnzb6YGkIiIiIiIiCQY5zPOXLh3gYD5fzHyt1RkyfL6uUN2B74q0oLw\n0tNo1Qo2bYpb/r8O/8X2swcx27CBU8fTUqlSzOZ1KN4Bb9PSGJ0DdPvZbWadmEXByxNxcorbOv/b\nb9V+Y92Tfhw89phnz14/M5qM9Hfpz4iqo1i1LBXffBP/OiJRUQNIRERERETkXyIoCEJDEy//rae3\n+HH3j9R5vphXoano2vXd8YGVBjLj+AzqNH7C5s2xz7/TbyfTPKeRcu0OJoyyIFOmmM+tXaA2Qc+u\nktnmYrTnAM37ex5Odi1wWZ8zQRpANfPXpF7Buli0HMSePa+frTm7BqPJyCOPNtjZgY1N/OuIRCXK\nBlBoaCjly5fHwcEBe3t7hgwZAoCnpyflypWjZMmSlC1bluPHj7+ZM2bMGGxsbLC1tcXFxSVxVy8i\nIiIiIiIx1rgxfP994uUfuGcgdbJ2ZuX4sqxe/f62LJsvbKiVvxYX0s/B1xdu3Yp5bpPJxC+uv9DY\nbCrZUlnTtGns1maWzIy2RduSpcYyVq+OPC4sPIxZJ2ZRx+L1H9T/XisfV3/V+YtnObcxfPMiem0e\nwPc7vqfQtb+YOCGZbuSSDyLKBlCqVKlwdXXF29sbHx8fXF1dcXd3Z9CgQYwcOZKTJ0/y+++/M3Dg\nQAB8fX1ZvXo1vr6+7Nq1i549e2I0Gj/IFxEREREREZHIXboEAbefsHefiZ07Ez7/tYfX2HZhO/tH\nDGbhQsibN+K4IZWHMNVzIrXqvYjyavT/tfvybkJevmDDmCZMmBC3s2z+U+I/3My6nHnzjdy4EXHM\n5gubyZeEgD8qAAAgAElEQVQpH2f3OeDklHBn5liksmBWwzlczjmaBXPNSe18iBsejhw/DkWLJkwN\nkahEuwUsTZo0ALx8+ZLw8HAyZcpE9uzZefToEQAPHz7EysoKgM2bN9O2bVvMzc3JmzcvBQsWxNPT\nMxGXLyIiIiIiIlExmoyM8xhH9ZXludclExWH/Uy3bvDwYcLWmXx0Mjlvf0P7lhY0bBh5XHHL4hTI\nXIC8NV1itQ1s9KHRlHw6lKpVklG2bNzW6JDdgQyp01K3qzsjRkQcM91zOt+V+oE1a0iQ7V//rU3p\nBjwZ5ceDdaNZOcWOPXt4c0aSSGKLtgFkNBpxcHDA0tKS6tWrU6RIEcaOHUu/fv3InTs3AwYMYMyY\nMQDcuHEDa2vrN3Otra0JCgpKvNWLiIiIiIhIlHZf2s0i70WkPDSa1RWu4vpgEWWdDsfoKvSYehDy\ngCWnlhC0/kd6944+vk2RNlxPv5qDB+HJk+jjD107xI0nN/Bc1Io+feK+ToPBQJdSXXhebBobNsCF\nC++Oe9/yxu++H9v/ak6hQvDll3GvFZXUqaFKFTA3T5z8IhGJtgGULFkyvL29CQwM5ODBg7i5ufHt\nt98ydepUrl+/zqRJk+jcuXOk8w26Y05EREREROSjmXF8Bh3yD+DZmZo41bJmRoMZ+BToxH73Z2zf\nnjA1Zp+YTVmLxuTPYs1/vRMQqZb2Ldntv43ylUPYvTv6+NHuo2maZRApzc2oUCF+a+1SqguHb7jR\n8adL/PLL2+evjK/ovq079neGcfWKOc7OkEzXJkkSYhbTQAsLCxo2bMiJEyfw9PRk7969ALRs2ZIu\nXboAYGVlRUBAwJs5gYGBb7aH/a/hw4e/+XtHR0ccHR3jsHwRERERERGJjP8Df44GHqX0lTW0bPn6\nUGYnOyc2nt/I84E/06PHZHx8iNVtWv/ryYsnTPWcSq0be6gUw4OZLdNZUiZnGQrU28Hq1S1o2TLy\n2HN3znHy5knSe22ie/f4n8mTLkU6epTuwc3Hf+E6YTZXr74+r2jSkUk8f5iOR5u6cdgD/v80FJFP\nmpubG25ubjGKNZhMJlNkg3fv3sXMzIyMGTMSEhJC3bp1+fXXXxk4cCCTJk2iWrVq7Nu3j8GDB3P8\n+HF8fX1p164dnp6eBAUFUatWLS5duvTeW0AGg4EoyoqIiIiIiEgCGLRnEK+Mr9g7cALTp7/edgRw\n+9ltCk0rRJvAm4Q+Tc3ixXGv8Zvrb/g/9Me931I2boQSJWI2b77XfLad241br7VcuQKZM0cc12t7\nL1LxBQva/46/f/yaVf+4/ew2hacX5qvg82RJZcl/fjpP5YWVybrpOH/9nC/KM4xEPmVR9VuifAPo\n5s2bdOzYEaPRiNFopEOHDtSqVYu5c+fSq1cvXrx4QerUqZk7dy4A9vb2tGrVCnt7e8zMzJg5c6a2\ngImIiIiIiHwEoa9CWei9kIn2R9j4BCpVejuWLW02yuQsQ5W6OxnU2InTp6FYsdjXuPnkJtOPT2dV\nNS8OGmN3ZbqTnRP9XPpRs/4TVq9Oz3ffvR/zKPQRq86sopfhDM2aJUzzB15//7ZF2xKcYwgr1mdn\nxbIVtM42goNP8tGgQcLUEPnURPkGUKIV1RtAIiIiIiIiADx9+vow4tKlEzbvAq8FrDm7lsCxuxg5\n8v0breacmIPrVVcs9jhjawt9+8a+Rvet3cmQMgMZj48nOBimTo3d/IYrG1IkvD2HZrbjyJH3xycf\nnczRgGOcGLKKpUuhYsXYrzEy/g/8ab+hPTcOO9KlclP2LClHt64G2rdPuBoiH1pU/RYdaSUiIiIi\nIvKBmUwmxnmMo8eycRQt/RhHRzh2LOHy+93zY8i+IdgH/46VFTRv/n6Mk50Tuy7torJjCK6usa9x\n+tZZnH028GLfEGbMgGbNYp+jTZE2nEvuzNWr79/IZTQZme45nQL3fiBXroRt/gDky5SPw98e5q/6\no5k3vDzXrxlo3Tpha4h8StQAEhERERER+cDGeYxj8r4VLNl9ivsd8vPVxEm0agX37sU/97OXz3Ba\n40T/0r+zbGw5pk6N+ODkrGmzUiZnGcLy7uTgQXj1KuY1wsLDaLKoI6k8/iBL2sysWAE1asR+rU1t\nm3Lw+gGc2j1g6dJ3x7Ze2IpFyoysHFeB33+Pfe4Yr6EphIVBv35gFuNrkkQ+P2oAiYiIiIiIfEAr\nfFYw9chMQhbs4PK4FZzseYwtD0ZRp7U/X38NRmPcc5tMJrpu7UrWsNIs6Nmdbt3A1jby+K/sv8Il\naA3W1nDyZMzr/HHwD57fycZfbbvx669QvXrc1pshZQZq5quJpeMmli17+91NJhN/evxJmRcDsSlo\neHN4dWIwNwdPTyI8g0gkKVEDSERERERE5AO5cPcCfXb1wcZzBz//YEXOnFAgcwG6le6GWdW/CA6G\n7dvjnn+a5zR2HD/H7YWzmDzJwKhRUce/2QZW/VmMt4F5Bnky68Rsnq1aQMOG8b/0p03RNng8ciZt\nWjhx4vUz9+vuBD+9zc6JLRgxIt4lomVtDcmTJ34dkY9Jh0CLiIiIiIh8IE1WNcEytAquowZw9iyk\nTPn6efDTYOxm2PFLpnO477Jkw4bY53a/7k7TFS1IufwI17zzY24es3mt17WGO7Y82jyCXbuijjWZ\nTJSeW5rqKQbivbwN+/bFfp3/69nLZ1hNtKLjIz/SGrIyejQ0WtmIbA8aE7CpO3v2xL+GyL+FDoEW\nERERERH5yPZd2ceZ22fwmNSbv/562/wBsExnSZuibbiZayqurnD7duxy33p6i9brWlM6YDE/fB3z\n5g/AhDoT2Pt4Bu7nLvLyZdSxrlddCX0Vyr2DreJ06HNE0qZIS32b+qQuvZ6NG+F08Gn+vvk3F9Z0\npGfPhKkhImoAiYiIiIiIJLpwYzj9XPpR32wcWTOlpGnT92MGVBzAotNzaND8McuWxS5/rx29+Mrm\nPxxfVZ8uXWI31zqDNT9XHYqhUS88PaPeqTHhyAT6lPuJ7duSRfgd4qpNkTbsujubALv+NFnRkrZ5\nf8TfLxWNGiVcDZF/OzWAREREREREEtmCkwtIY5aOLX+2YMyYiG/lypcpHxVyVaBA/W0sXAgxPTVj\nne86fO/4kuXsbzRtClmzxn59vcv3JtUXt+m3cA0LFrw+h+h/65+7c46/b/xN/qdfkysX5M4d+zqR\nqVewHqVylKJIgUzUDJ1J2MH+dO5MrN5kEpGoqQEkIiIiIiKSiC7cvcDP+3+myqPZlHQwULFi5LHN\nbZtznk28fPn6Zqro3Ht+j947ezO34ULmzUrFDz/EbY1mycwYW3sUgVbT8PCAdu3g2rV3YyYdncR3\nZb5j68ZUCbb96x8pzVKysOlC/qjzMyfW1GTViuR07ZqwNUT+7XQItIiIiIiIyH958eLd83niI/RV\nKBUWVKBjke6MbdmDPXugWLHI4+88u4PNNBv6ht8iOCgVM2dGnb/1qm+4ccWC5xsmY2EB+/fHfa0v\nXr0g+4TsnO91ns6tLenWjTfbvG4/u02haYVpcOkiHnuy4uYG+fLFvVZkwsJev8FUsSLs2JHw+UWS\nOh0CLSIiIiIiEgmTycTAHcMp/kcLcn41jvQ23vz+++tGUHzzdtvwI6Z7BVjZrzt16kTd/AHImjYr\nxS2LY/nlfnbsiHob2PGg42zycSHHuZGMGwcuLvFbb0qzlNQrWI/NFzZTogScOvV2bKzbZF6dbEvm\nVFk5cyZxmj/westX//4weHDi5Bf5N1MDSERERERE/rXCjeF039aD2Xt3kepqcyrUuUHq76rj4R1M\nyZIQEBD33MP2/8qaw0cpdH4+v/xsYN68mM1rZtuMv59vIjwcLlyIOMZkMvHD9r4Y3EaydH56atYE\nM7O4r/UfzW2bs+HcBooXf9sAehT6iPkn51IqdADTp0P69PGvE5VffoGqVRO3hsi/kRpAIiIiIiLy\nr2Qymei8pTOHL1zA2nUPR+Z8zfquk2lfvC1lv59O5cqwdGncco/zGMeS4+so7OnC6iUZadIk5tvK\nmhZuytYLW6hdN5zduyOOWeu7ltsPn1ElfUdSpYrbGiNSv2B9DgccJr/dozcNoFknZmEdWo+65RLp\ntR8R+SDUABIRERERkX+lladXcvKmNyHzdzBpbHqSJ3/9vO+XfZnz92yatXrGxo2xz7vTbyczjs8g\n2+69/NI3W4Q3fkWlQOYCZEubjQJVj0XYAHrx6gWD9g6ixK1J1KqZPPYLjEL6lOmpmqcqF0zbuXkT\nbt8PYcqxKZgdHUzlyglaSkQ+MDWARERERETkX+fu87v0c+lH7ZD52ORNQ926b8dsvrChSu4qXEq3\nmKtXY7cNLCQshO93fs8PeefwKMAKJ6e4ra+5bXMCLdbi7g6hoe+OrTqzCpvMNlzY5UitWnHLH13t\nLX4bsXG4zQ+bh1DKsiyXjxSlbNmEryUiH44aQCIiIiIi8q/T36U/jfK2YdnYsowfH8F4xf5M8ZxI\ng0bhbNoU87x/evxJyewlObCgHv378+atotjqXLIzay4spVCpW7i7v31uMpmYcmwKX9v8SHAwODjE\nLX9UmhRuwraL2zhXqxDXbt+n/ReTKV4c0qRJ+Foi8uGoASQiIiIiIp+UUzfOscLFl6VLYe7cqG/C\niotdl3bh6u/KuRl/8OOPEd/MVTFXRbKmyUquGjtj3AC6fP8y0z2nU8c4iRMnoGPHuK8xT8Y8dCrR\niWTVR7Jr19vnh64f4nnYc0wX6+HoGPcGU1Syps2K+zfujPoikJJXl3Ll7/za/iWSBKgBJCIiIiIi\nn4Sw8DBGHviDcjOr0tHVkeUHPJg4EdasSbga5+6co+OmjlS7v4y05umivG68XbF2XEuzjuPH4d69\n6HMP3jeYKsn7M/ynXGzfDqlTx2+tQ6sMxc98DVs8/N48m3JsCr3L9cZ1f7JE2f71j9I5S1O2RDpO\nnQJ3d9QAEkkC1AASEREREZGP7nnYc6otrsbqwx7Y7Pdi03+WcdK2GT3GujF48Pvn4MTF3ed3abSq\nEc3T/cm+hVVZtgySRfH/iJzsnNh5ZSvVa4axfXvUuS/fv8yuc254z/2egwehVKn4r/eLNF/Qr1Jf\nAgoNZdiIl/jduYrbVTc6FO/I3r1Qs2b8a0SleHE4fRqOHIFKlRK3logkPjWARERERETkozKZTHy7\n5VuyJi/IzQk7WLsgF43s6rL2q7WMvNgC29J3mDo1fjUehT6i/vKGZLjemr1/dWLrVrC0jHqOdQZr\nbDLbUKiuKxs2RB076egk0l3sypJ56ShYMH5r/W99K/ShYNnLjDKmpfA0O3Lf7oZt/tc1bGwSrk5E\nMmWCzJnBygqyZEncWiKS+Mw+9gJEREREROTfbZzHOC7cuUTYnIOM+sOAnd3r5455HWlu25x0Becw\nrtsvfPMNZM0a+/yPXzym7vK6BHuVpdLjUcw9CenTx2xuC7sWnL21nv376/DkScTz7ofcZ4XPSl7u\nPUv5BbFfX1TSpkjL6e+9CDcamb34Ac/vZabZgcRv/vyjRAnInv3D1BKRxGUwmRL6SLUYFDUY+Ahl\nRURERETkE+Pq70q79e2x3ulJhSLWTJkCBsPb8dPBp6m3oh4N/fzJkS0FI0bELv+LVy+ovqQ6Ke47\n8GztDI4cNmAWi38NfuXBFSosqECp/Tf4T4fktG37fszoQ6Nx9fEjfP0i9u+P3fo+dVu3vn77p0KF\nj70SEYmJqPot2gImIiIiIiKROngQ5sx599nGjXDoUPxzh4SF0HVrN7Ifn0vR3NZMnvxu8wegmGUx\n7LLYka/RWhYtgvDw2NWY7jmdVGTkzLjpLFoYu+YPQP5M+cmZPiclGruzdu374y/DXzLdczq5An6i\nWrXY5f4cNG6s5o9IUqEGkIiIiIjIZ+LCBVi9+sPUOnjtIO7nLtK6NQwZAmfPvr6l6/Zt+OYbWL48\n/jVGHRpF2scOZH/ciPnzIz+Q+ccvf2TDjclYZjfh4hLz/Hef32Wsx1hebZ9In97JKFo0butsYdeC\ne9nXsW8fPH367th63/XYZbXD161YkmwAiUjSoS1gIiIiIiKfiT59wNkZAgPB3Dzx6tx4coNis4rx\n5FFyCqSoRIHUpTh0aychmU7QJPA0N88UJjwcjh6Ne42zt8/iuNgR8/k+bHPOEeWtWUaTkcLTC9Pc\nsJhL+ytFeyDzP77f8T2BAQbOT5rG6dNx/zO7/ug6JeeUpJiHFz3a5qFNm7djVRZVoYdDX7pXceLO\nnfhf/S4iEh/aAiYiIiIi8pkzmV6fx2JuDrt3J26tYfuHYR/6LRWO+dOzXi0KFLtP1rMjKBLyHbuC\nF+PsDGfOxH471j9evHpBh40daJx2NHa5om7+ACQzJKNbqW7czrEYV1e4dSv6GufunGP12dXcWz+c\noUPj1zDLbZGb3uV686TST+9sA/MJ9uHqw6tkvt2EUqXU/BGRT1uUDaDQ0FDKly+Pg4MD9vb2DBky\nBIDWrVtTsmRJSpYsSb58+ShZsuSbOWPGjMHGxgZbW1tcYvN+poiIiIiIROjgtYMsO3iAsPAwhg2D\nJUsSr9apW6fYenEbp2cOZemCtPxQvhdT6k9ixe+18V7QFfMyS8lpFU7WrHDlStxqDNk3hDwWeTg+\npwsDBsRsTttibdl6eQNNnV7E6PsPPzCc1tYDCLj4RYQHN8fWwEoDuWd+kl1+Ljx48PrZDM8ZdCvV\nDfeDZtr+JSKfvCgbQKlSpcLV1RVvb298fHxwdXXF3d2d1atXc/LkSU6ePEmLFi1o0aIFAL6+vqxe\nvRpfX1927dpFz549MRqNH+SLiIiIiIgkRfdD7uO02omhB37idqesuGf+lt3ud7h/P+FrmUwm+u/p\nT+0Uw6haLiN58rwdK18evHYVpWC2nOy5sofixeHUqdjX2OG3g3W+62iefAGYDNStG7N51hmsKW5Z\nHNvGO1i48PUbUZG5fP8y+/3347/mOwYMSJjtcqnNUzOtwRRSNv8Bh3reuHvdZY3vGrqW7sqBA6gB\nJCKfvGi3gKVJkwaAly9fEh4eTubMmd+MmUwm1qxZQ9v/b6lv3ryZtm3bYm5uTt68eSlYsCCenp6J\ntHQRERERkaRvwuEJNLdtTv69f7Oo1EUsLTLxsktR+ixeyL17JmrXhtGjE6bW5gubCXgUwMVV3ene\n/f3xkiXhm5LfsNh7MSVKxL4BdPXhVTqu/5a8XssY3CczEye+f+tXVNoXa8+Jlyt48QJ8fCKPm3Bk\nAs1zd8fraHo6d47dGqPSuHBjvqvakldN21FlUw7S36pHjXLZ8fPTTVki8umLtgFkNBpxcHDA0tKS\n6tWrY29v/2bs0KFDWFpaUqBAAQBu3LiBtbX1m3Fra2uCgoISYdkiIiIiIknfnWd3mP33bL4v/gve\n3tC8Tjb+qvMX40vsZs2NsRRp40z69LBiRfxrPQx9SK8dvRhgO5fgG+bUqxdxXJuibdh5aScFij6I\nVQPo8YvH1FvamGcug2heqhqXL0Pt2rFbY0v7luy5socmXz2K8Ep2gNvPbuN8xpl7O36gT5+EP5dn\nVM1RBA315ajTPYaXXIizMwQEQNq0CVtHRCShmUUXkCxZMry9vXn06BF169bFzc0NR0dHAFatWkW7\ndu2inG+IpKU/fPjwN3/v6Oj4JqeIiIiIiLw2zmMcbYq04YxHHqpXf9vM+K6ZA1NnLONOjWbM/aku\nJQpl5vx5sLWNe60BLgNoUqgJf2+oSpcukDx5xHGZU2emboG6+KdZhY9PzxjlfmV8Ret1rUl1uzLd\nSvShb9+4rTFjqozUzFcTi0LrWT24MyNHvv8G0bRj06ifuzW7x1uycGrc6sREeYcMlHdIvPwiIjHh\n5uaGm5tbjGKjbQD9w8LCgoYNG3LixAkcHR159eoVGzduxMvL602MlZUVAQEBb/45MDAQKyurCPP9\ndwNIRERERORz8+LVCy7du8IDPzu2bYPevSFnzoTL73X9IjMOL6TpjdOMPAj9+r0dMzMDP9fy9N75\nFQP39qd584Vs3Aj/f2dLrBhNRkZsWMma07sYnOEs453h9Omo5/Qo04PeO3tz9953PHxoIGPGqOPH\ne4wn5EUY12ZP5SevWOz5ikD7Yu2Z7jmdsLDO+PhAiRJvx+6H3Gf237Opfe0I3buDhUW8SomIfPL+\n94WaESNGRBob5Rawu3fv8vDhQwBCQkLYs2fPmxu/9u7di52dHTn/67/lmjRpgrOzMy9fvsTf3x8/\nPz/KlSsXn+8iIiIiIvJJareiJ0VnlKDl5LH4nDbSq1fC5T535xw1Ftcgz4W/qFE2J6NGQadO78eN\nqjGKvVf2kq+6Gxs3xr7OwpMLyT/RltH7J9HkpTPB1zMwahRE8u9w36ietzomTOSu6hblWTzwemvZ\nxKMTKXVzJo0bmJM7d+zX+d8aF27M5QeXqdzakzVr3h0bfWg09fO0YNfKgvTpE786IiJJTZRvAN28\neZOOHTtiNBoxGo106NCBmjVrArB69eo3hz//w97enlatWmFvb4+ZmRkzZ86MdAuYiIiIiMjnaoHX\nAlwvHeE7gw/e9TtjSOnB2THObNyYlubN45f73J1z1Fxak+Ruf7J8fAdKl448Nn3K9AytMpQDV+dx\n5Yoj168T4waLy2UXhruO5OWapSzuXZn27WP+v9sNBgPfl/2e8denc+pUdapWjTx24pGJ1MvfiJW9\nCrF3b4xLRCpF8hQMqjQI579HcmzSVv744/U2sKsPr7LIexGt753h668hW7b41xIRSUoMJlNUFygm\nUlGDgY9QVkREREQk3rxuelF3WV1ezTuE915bcli/pPW61mQIKcq+X0Zy9mzctx49Cn1E2XllqZly\nMGeWdebQoejnBD4OxGG2Aw3PBVO6ZHJ6945+zotXLyg2qxgGl0m0L9uQX3+N/VqfvnxK9rF5aHzj\nJKtmR9x1uvv8LoWnF+aHFCc4sTcf27bFvk5EQl+FUmBqAUwrtrFxZknKl4cOGzuQ2ZCfFV1G4OUV\n80aYiEhSElW/JdpbwERERERE5DWTycR327+jVcYJlM5jS548r99ImVJvCttuz6Rqo8A4NVP+yf3N\n5m+olb8WPks68+OPMZtnncEaqwxWFKlzjA0bYjZn/OHxZDHZkzqgIcOGxW296VKko4F1B/Y/mcXT\np5HU8RhPo3xfMXN0PsaOjVudiKQyS0X/Cv3J2foPuvQIYY7nQvZe2cuFhf3p21fNHxGRiKgBJCIi\nIiISQ/v99/P4xWOubPr6nTN5clvkpnvp7oRX+5nly+HKldjn/mnDeE75B5HNaxJBQdC0acznNijY\ngPtf7ODvv+H/j/CMlP8DfyYfnUwq1yn07v3+LVqx8XOdXjzIu4BsuR5jZweHD78dC34azDyveYS4\n/EyHDlC0aNzrRKR7me4EJvPgQiMrxm5dw3dfrCHwSnoGDEjYOiIiSYW2gImIiIiIxFDNpTVpnOs/\n/N6iI4GBkCbN27HHLx5TeHphmjzdzjO/UixfHvO8uy+6Un9+Oxrf8iRXhly0aAHVq8d8/qFrh+iz\nqw/ZNnrRvTtRnkPUcVNHMoTnw7nHcK5ff3u1fFx12NiB/BY2pPb8lbNnYdmy18/77upL0E0jHr9M\n4dw5yJAhfnUicjr4NOHPMtKgci5evoQtW6BixYSvIyLyuYiq36IGkIiIiIh89kJDYft2aNEi8Woc\nDTxK63Wt6fr8Etf8zZk37/2Yacemsf/yQY78tJbdu9+9ojwyQY+DKD69LDmPLeX05lpxWtsr4yuy\njc/GD8nPcPtyTmbNijjuyoMrlJtXjq9uXiJjqoyMGROnchHmdG1xnmplsxAcDMEhgRSfVZw823zp\n3yM77dvHv05U9u+H48dh0KDErSMi8qlTA0hEREREkjQXF6hbF06fTvitRv9o6tyUUhZ1mP6fXri5\nQZEi78c8CHlA3il5GZr6Ggd2Z2THjqhzvgx/ieNiR8LONKZd7iH07Rv39bVZ14YiqeqwuE9nLl+O\nOKbb1m5kNLdkQfuRnDyZcGfl9Nzek7TmaTk4bDyjR8P60J48vJMWzz/Gc/EiJNPBEyIiH4QOgRYR\nERGRJO3YMciaFUaNSpz8Xje98AzyZNeYzgweHHHzByBT6kzUzl+bDBXW4uVFpI2Yf8z3mk9a83Rc\nXTEo3tfHN7BpwKnnOwgJibhuwKMA1vmuI+XJPlSvnrAHJQ+rOoyF/8fefcflvP5xHH/dDSMSQkbI\nHqEkyg6RPUIRsvc5HPtkO/beMo+9cpBVEWVUVsjKiLLKyAztun9/9DvHQeuuu+M4Ps+/zvl+r+t6\nX7fjUZ1P1wj4nSJt1uB0dCq7b+4m0nMsP/8sxR8hhPi3kC/HQgghhBDiu+cVEESLyc6cOAF37qh3\nbKVSyehjo6kVOYWcWjnTXKXTo1oPdt7cSuvWpHrtuVKpZNXFVbTM8yslimtgZJS5eTYv25wTISdo\n1CwST8+v38/znYetUT+cFxZg/vzMZX2piG4R5jedD8X9uH0nAWerPzjtXvCzg7KFEEJ8W1IAEkII\nIYQQ362ExAQW+C3kVLnaeET+hs1P7mo51+bv3ILcePT6Kb7L+7F5c9orWlqUa8Gtl7eo1exBqgUg\nn0c+xCfGE+LdCFvbzM+zUK5CWBSzIK/lAY4d+/zdw7cP2XFjB9fXjmLyZChVKvN5X+pTvQ+uPTdT\n9M50Nk5pRLduoKen/hwhhBAZIwUgIYQQQgjx3XI64cSugP0UdD3PZtuN+OT5iUPuUdy7p57x4xPj\nGXt8LGUfzGPwQC2KF0+7TzbNbNhVtuNJ/m2cOwcREcm3c/Z3ZmCNQbjuV6ilAATgaOLIrWxb8PaG\n+PhPz6ecnEIthqIdY8BPP6knKyXt24OHB1meI4QQQjVSABJCCCGEEFkmOhoSE7No7Phofr/yO465\nt1G3chmal22OeTEzzIbPplevzwsgGTX91HTyaxfm/NbWDBuW/n49THqw+/ZW6tRVJrsd68XHF7gF\nuSVlZHYAACAASURBVFExuic6OlCpUubnCtC+YnuuhJ+jaPmnXLyY9OzGixu4B7njv3wUa9Zk/Zk8\nPXvCmDFQoULW5gghhFCNFICEEEIIIUSWadsWJkzImrH3Bu6lRtEahFwxwsIi6dkSmyVc0VpFYr67\nmT4Qetu1bWy5toXqwTvo5qCgYMH097UoljQhY5uzyW4D+/3K77QuY8vP/fMxZUrm5vl3Oto62Fa0\nxbDlDjZtSno2wWsCTXXGUb2SXoqHV6tTpUowb17W5wghhFCNFICEEEIIIYTahUaE4u2t5PZtWLMG\nwsPVn7Hu8jr6m/Xn/Hn+KgAVy1OMsXXHotdxHM7O4OubsbEPXTvDsCMjmVLuMNvXGjBqlGr9FQoF\n/ar341HBdRw5AgkJn969jHzJ4nOLebznF1q1gq5dMzbHlDiaOPI4/2Zc9sbh5DabgGcBhLgMYdAg\n9eYIIYT4viiUKV0Qn5WhqdxLL4QQQgghvl9KpZKZZ2Yy4/QM+GBAI4NOFLo/miK5izBnjvpy7ry8\nQ8NNDbk39BEGBbLx7Bno6ia9i46PpuKKivTT38rOOfW5fl21bU9Br+5RaX49Sl7egsGHZrRoAZMm\nqT7HFx9fUGFFBQrvfMDG1XpYWiY973ugL3eu64LHEry8IFs21cdOTaIykTLLyvD2lTZ5laVZ1cqZ\nfh1L8eABaGurN0sIIcS/S2r1FlkBJIQQQggh1OLIESUWE5zYcW03m0wfUMT7CAVKhvPWYhRr18LL\nl+rLmuG2Hgfjnty+mY3SpT8VfwByaOVgVpNZHIwehU6uRPbtS/+4r6Ne03RjK/IFTOPe0Wb4+WWs\n+ANJt3JZl7amZOud7NqV9Mz3kS8e944SuPI3tmxRf/EHQEOhwcJmC5ne+DferXJn2/JS9OsnxR8h\nhPjRyQogIYQQQgiRaacf+NFi9m9o532J9s6j6GXTZ8YMaNXhPWWWlaHJQx+MdMur5Yr2VUc9GerV\nFV2Xs5TLX47q1WH9+s/bJCoTsVhvQaPsI/FY0JWAgLRXAcUmxGKzzYYPd2vQjAWZPkMI4Nj9Y4x2\nd+LJ5EtcuPoO28P1MYmYQNwV+7+KQlmpd2/YsgUePgRDw6zPE0II8W3JCiAhhBBCiB9YbGzWjR2X\nEEebnW3ouL0bRSPa83SGD8cP6WNnB3Z2oJtdl59r/Ux87VmZXgUUERNB5z2dGXNqIP0KbOLu2XI4\nOsLAgV+31VBoML3RdE5ELyBbNjhwIO3x9wbuJT4hnmfb5qrtXB7r0tZExL/CsP/PVNtQlvrFG3Jy\npR2jR6tn/LRMngxz50rxRwghhKwAEkIIIYT4T3v4KIHyTX3oUrsBUyYrKF1avePPOjML75CTPJx1\nhNWrtGnc+Os2b6PfUmZZGWweXsRIrzSzZmUsq++Bvjx7Gc2lKesJvpsTHZ3U28cnxlNsUTF+K+nL\n6llluXwZFIqU27fe0RqzbF3YN7U7N25kbI7JWeO/Bo9bZ/CaMonpv1Rg/37w9lbf+EIIIcSfZAWQ\nEEIIIcQP6E3UG5ptak2ifRsuGnXCvG4Eixapb/wbL26w+NxiWiWsp3AhbRo1Sr5d3hx5GWw+GOrN\nZc0aePVK9Sy3IDe8HniRzXM1o4anXfwB0NLQolOlToQb7CY6Gs6fT7lt+MdwfB758Oxke7XfyjXQ\nfCD7e2zD3roCI0bwj63+EUIIIf5OCkBCCCGEEP9BQa+CqLmuJuG3KuHR9CkNzAuSf1wtlm27z9y5\nmR8/PjGe3gd6073ILBZMKsHUqamvrvmp1k+4P3KhQ6cYlYtQb6LeMPDwQH4usQFfL10GD05/X/sq\n9rjc3E2bNuDhkXI7l5sutCjbkgN7cmNvr9r80mv8+KQr31u0yJrxhRBCiNRIAUgIIYQQ4j9ojOcY\nmhXsi77/IhrXy8Xq1qvpbtqFar+MZ8MGWLgwc+MvOLOMh3f0cJ3cj5UrSXbr198Vzl2YagbVqNPD\nk9Wr078KSKlUMsRtCGa52jBnYGN27YLcudM/z3ol6vEq6hUV69/i6NGU222/vp2Kcd0wMoKyZdM/\nviqMjGDbNtWupBdCCCHURb79CCGEEEL8x1x/fp3zoedJ9P0FR8dPK3NG1R6F37MT/L7vAdOnQ1RU\nxsZ//O4xM0/PovQtZ24FKmjXLn39OlXqxOmXf9C4MRw6lL4+C/wWcCnkLr5TFrBnT9qFpi9pKDTo\nXLkzwTl3c/Nm8oWn4DfB3Ht9jyt7mtG3r2rjCyGEEN8LKQAJIYQQQvzHzPGdw0/mv7B3d0569Pj0\nXDe7Ln2q92Hvk6XUqJH6lqjUDPMYRvGwYQzqXI4cOdLfz7aSLYfuHqJx01iOH0+7vVuQGwv9FvN2\ntSt/7NShYcOMzdfe2J69d3bToKEy2dzt17bTupQdp7y11X7+jxBCCPFvIQUgIYQQQoj/kHuv73H0\n3lEMHg3G2Dhp29HfDbMYxuarm2nV8S179qg+/qE7h7j5PJAnu8fRpo1qfYvlKUYF/QrkrOzF8eOQ\n2qWwoRGh9HLthdm9PTi0Lo6Vlepz/ZOloSVRcVFUaXL1q21gCYkJrL+ynlx3+9CxI+jqZjxHCCGE\n+DeTApAQQgghxD8kMhKqmyUwbx7ExmZNxjzfeXQrP4QJo/MwY8bX7w3zGNKyXEsiyq7HzU21bWAJ\niQmMPT6WrvmWYm6aHX191efXqXInfF/vJVcuUr1qfbbPbBrmdSTwaN1kP4cqFAoF3at1J7zIVjw8\nPi88uQW5UThXYdx/N6N//8zlCCGEEP9mUgASQgghhPgHvPj4glYrhnOttR5/XPbExAQuXVJvhn+Y\nPwduH8Bn4TBGj4Z69ZJvN8xiGDvurMXcHNzd0z++y00X8ufMz4MTNnTokLE5dqzUEdc7rjRpGp/i\nNrBH7x6x8/pOLi4Zi7Ozaoc+p6RHtR64PdlBzlzxXL/+6bmzvzMNcw8mVy6oVSvzOUIIIcS/lRSA\nhBBCCCGy2JmHZ6i0shJXriiZarKRh+bd6TUihG7dIC5OPRmxCbH0OdAHs/BFGOYvwOjRKbc1L2pO\nREwEjW1DcHFJ3/gJiQn8dvo3JtWbypHD6T/4+Usl85akVN5SFLI8kWIBaNaZWdTOPoAKhoXUdmV6\nhQIVKKlXkkqtPf8qeoW8CeFC6AXuH7Cnf//Ur7EXQgghvnepFoCio6OxsLDA1NSUypUr4+Tk9Ne7\n5cuXU6lSJapUqcK4ceP+ej579mzKlStHxYoVOXbsWNbNXAghhBDiO6BUKhl3fBw99JdT6cEyJtp2\nZny98exM7IBhqUicndWTM/vMbHQTS3B1uwObNqVezNBQaNCsTDO0Kx3FwyNpa1pa/lz9o/3YGiMj\nKFEi43Ptbdqb61rrOXPm661wIW9C2BO4hxeuoxkyJOMZyXE0cSSq3BY2boTERFhzaQ2dyvbE+9jn\nh2ULIYQQ/0WpFoBy5MiBt7c3AQEBXLt2DW9vb3x8fPD29ubgwYNcu3aNGzduMPr/v2IKDAxk9+7d\nBAYG4uHhwZAhQ0hMTPxHPogQQgghREb5+MCmTVkz9rH7x3gb/Zaz6+wZMyapMDPMYhhVDapSpPt4\nZsxI/mpyVVwMvciKCyt4vWU1ixcpyJcv7T7NyjTj7Itj1KgBJ06k3jYhMYFpJ6djrTmVyZMVGd7+\n9SeHqg6ceuJJ6aovOHfu83fTTk2jY4khhN3Tp1WrzOV8yd7YHv8IN3LovWORy3k2XNlAtuuDsLcH\nPT31ZgkhhBD/NmluAdPR0QEgNjaWhIQE8uXLx+rVq3FyckJbWxuAggULAnDgwAG6du2KtrY2RkZG\nlC1blgsXLmTh9IUQQgghMic+HgYOhIkTk1aFqJNSqWTKySl0LjSF1680/9o2pVAomN90PkeebKGl\n3TOmTs14xuuo13Te05mWiWsormeInV36+jUt3RSvEC8aWMVx8mTqbVf4bOH+DX18tlrj4AAjRmR8\nvgB6OfRoX7E9+Rtt+Wwb2LXn13C/547SZwz9+oGWVuZyvqSvo0/jUo1528GKCVc7Mt96MXvXlmPo\nUPXmCCGEEP9GaRaAEhMTMTU1xcDAgEaNGmFsbMzdu3c5ffo0lpaWWFlZ4e/vD0BYWBiGhoZ/9TU0\nNCQ0NDTrZi+EEEIIkUGRcZG03tGa0avdKVAA8uUDPz/1Znjc8+B9zHvc5ndi6lTQ1Pz0rnDuwjhU\ndSB300Vs3w5hYaqPn6hMxHG/I/UL2HJkgS0rV6b/HBuD3AaUyleKAqbnOXUq5XYfYz/y25lJ1H6/\ngBPHFQwdCv///WCm9DfrT3De9WzarPzrJjKnE06MqjWevTvy0K9f5jOS41TPiQF1ulDI5Q6BO7tT\ntixUqZI1WUIIIcS/SZq/V9HQ0CAgIIB3795hY2PDyZMniY+P582bN5w7d46LFy9iZ2dHcHBwsv0V\nKfwUMvVvv+qysrLCysoqQx9ACCGEECIjfnL7iajYWJY/7sWMkatIuN6R3btTvjlLVXEJcYz3Go+1\n9hT8lJp07fp1m7F1x2K62pSOPcaxfLk+s2erljHfdz5P37zh8uy5rFoF5cqp1t+mjA1PlEe5fbse\n794lvw1q0dlF5I2oR0cLC9UGT0Od4nXQyalBwYZnWLy4AXUcTnIr/BYNn+6jQQP42+8U1apWsVrU\nKlaLnD/ByJGwe3fW5AghhBD/hJMnT3IyraW8/5fuhbV6enq0atUKf39/DA0NsbW1BaBmzZpoaGjw\n8uVLihUrxuPHj//q8+TJE4oVK5bseFMzs9ZZCCGEEP8pcQlxjNizkHuBusRe7UAeRVGWL4fixbMm\nb1PAJs4+OUuXiIsoQoNYdq8l42srWdm9E0uWfL5SJ6NmnJ6BgU4RXCd1ZttW0Ehm3XUJvRLYVrIl\nZ/llrOs/jfHjQVc3feNfCrvEfN+F6GzzZ9oU7XRv/fq7ZmWa4XTCiZo1p+PrCy1bfv7+2YdnLDm/\nBN2j/jTaovr4qVEoFPQ368/i6N5Mu2pC0f3XaJdnBosnZk9zS5o69OsH166R6fOMhBBCiG/pywU1\n06ZNS7GtQqlUKlN6+fLlS7S0tMibNy9RUVHY2NgwZcoU7t27R1hYGNOmTePu3btYW1vz6NEjAgMD\ncXBw4MKFC4SGhmJtbc29e/e+WgWkUChIJVYIIYQQ31jS92kF4eFJ/16oUNZlvYx8Sfvtdlw4p0UF\nQwNCtA9TLbEn91YsYeVK6NxZvXk3Xtyg4e+NqBN0kotHjDlzBp5oeTPMYxja666zcCE0apS5jIuh\nF2m1oxV9YgO4e6ko+/al3DboVRC1N9Sm4aVQGtTJzvDhaY8fGReJ2Rozcl6YQrvSXTN8hlBMfAwF\n5xdkUEwIiih95s79/P3Pbj8THamN6+BFPH+efBErMxISEzjz6AyLVr8kKEjJyzMdOXZUg+rV1Zsj\nhBBC/ChSq7ek+m386dOnNG7cGFNTUywsLGjTpg1NmjShT58+BAcHU7VqVbp27cqWLUm/EqpcuTJ2\ndnZUrlyZFi1asGrVqhS3gAkhhBDi3+lW+C3yTa6ATsPVVKgADRpAVv3e5vmH59RaV4v3t2sxNK87\n16dtJXjEHQKzbcL1YBwDB8LDh+rL+xD7gdZbOhFzaAHVixlz927StqmGRg15G/0Wq86Bmd4SFBET\nQY99jlR/tpSda4syf37q7cvpl8O4kDGW3TxYvDjpUOq0jDk2hhLaNXh9qitOThmfa3at7LQu35qw\nEou+Ogco7H0Y269vx+T9OBo2VH/xB0BTQxMrIyu2OnVC93FnXPdL8UcIIYTIKqmuAMqyUFkBJIQQ\nQvwrnQg+QeddDiSeHY5WvcWc6n2KzlaVWbMG6tdXf14v117ERxTgxLgF3L796Qwa87XmLLJZxNwh\nDejfH9q3z3yWUqmk+/7uXPDNycAi6xk9+vP3I4+OJD5Sl10DpxEWlrEbqOIT42m5rQ2XTpSgaexq\nnFel70r2tZfW4hnsydOlexg5Ev6/0z5Zl59epvWO1pT2CKRP17z06aP6PP/u2YdnmDibELHmEOEB\ntcidO+n5CI8RKBQK3u5ehJkZ/PRT5nKEEEIIkfUyvAIoK0n9RwghhPh3CQwPpMveLhQ768KyzuOZ\n03Q23fY50KtvDBs2qD/P77Efx4OPE7RuCjNnfn4AsU0ZG47eO4qJCQQEqCdv/eX1XA27Qfjm5fTu\n/fV7e2N7PMNcKGmkxMtL9fGVSiXD3Ifx8FEidd+tYNfO9BV/ADpX7syx+8fo1O0de/em3nai10Rs\nC40n/FFeHB1Vn+eXCucuzLIWy1DY9sT7TNJ1XM8+PGPz1c2MqTMGb+/Mb4kTQgghxLf3zQpA6Vne\nLIQQQoh/zvTT02mZdzSKhw3p1g36Vu9L6XyleVJuCq6u8O6d+rISEhP4ye0n2uacR2K0Lr16ff7e\npqwNR+8nFYCuXs183vMPzxnvNZ5m73fSoU1O9PW/blOrWC2i4qJo0Ol6hraBbQzYyKmQM7xZ68Ks\nGdoq9c2XMx+NSzUmseJe3N0hNjb5dr6PfAkMD+T8qv5Mm5axVUrJsa9ij1HOqgz07ELDn7dTfuBk\nykV159XDIkRGQuXK6skRQgghxLfzzQpAKf1gI4QQQojkffwI7u5ZM3ZgeCBeIV5cWDGUOXOSbsFS\nKBQsa7GMbbfW0rhZNDt3qi/P2d8ZHU1dXGd0Zfnyr8+XqW1Ym6DXQRSvEK6WAtAErwl0r+rIvjWV\nGTo0+TYKhQI7Yztiy+3G1VW1n1Ui4yKZ5D2JBm820rS+HlWqqD7H7lW7c+TxdipU4KvzeCBphdEE\nrwm0yj2F+OjsGbr1KzWrWqwl1+s6vCviSuEaFyj2YCzm5mBlBXKkoxBCCPH9kwKQEEII8Z2YPh06\ndoTo6CwY+/R0mumOJK9Oblq0+PTcMI8hJoVNqNLBnfXr1ZN17fk1pp2aRuXgNTS1VmBp+XUbbU1t\nrIysCFZ48vw5RERkPM8/zJ8jQUewjJmMgQGYm6fc1t7YHo8nLlSoqMTTM/0Zy88vx9ygDnuWmmf4\nRq5W5Vtx5ekVGrULxdX16/cnQk7w9P0zjs7rwfz56j+U2coyL0GbxhEwfg93Rwawb5Mh584l/b0T\nQgghxPdPCkBCCCHEv9yis4tYfyqpAGNkBL6+6h0/MDyQE8EnCNk9lBEjvl7t4VDFgVuaO3n+HG7c\nyFzWh9gP2O2xY5zJIvatrcicOSm3tSljw/GQYxgbw7VrGcsLehVEt939qRg2g6F99Rg5MvX2ZkXM\nSFQmUrfjlXRvA3sT9YYFZxdgcHMG7dsn3SqWETm0ctCxUkdiKmzlwAFITPz8/fTT07GMnUjZ0lpY\nW2csQ1WmplC+/D+TJYQQQoisJQUgIYQQ4l/M77Efc3zmMNSzFwNGP8bODo4eVW/GbJ/Z2JX4hYdB\nuenQ4ev3HSt35FjwUdrbR2TqinSlUsnAQwMpEleX5f17MHEiFCmScnubMjYcu3+MaiZKlbeBfYj9\nwMijI6m+qjZPjzrQOF9vzp8He/vU+ykUCuyN7YkstZtDh9K32mq+33ysDduxd02FDK/++VM/s34c\neLye3LqJXLr06bnPIx8evX2Cx4IuzJ2buQwhhBBC/JikACSEEEL8S0XFRdH7QG8GFF2N7o0RnC7Y\njSZNEzh2TH0ZTyKecOTuEV56DOann0A7mbOL8+fMT4OSDdCvewAXl4zf5DnO81cOn73Hu13L2boV\nfvkl9fZl8pchT/Y85DO+oHIBaJLXJDwu3iP/jptcWj6GSRM1KFMmfX3tje1xe+RCNRMlHh6pt30V\n+YrV/qtJ8JrCoEFgaKjaPL9Uq1gtcmrnxMz21GfbwGadmYVZ1DisG2thYpK5DCGEEEL8mKQAJIQQ\nQqhg3TpYuvSfyZpycgplc5vy+xhbtg0eSw7tbJyIncnDh/DsmXoylp9fjm3ZHhx1zUf//im3c6ji\nwIXIncTGZmw71lyfuey4dJiy593wP6tDgwbp6+dQ1YEQ3e0qFYAevn3Iev8tRLusw8/TQOUtWdUM\nqpFNMxuWthfTXPG07PwyGhXuyKmDxRk7VrWc5CgUCvqb9edVyXXs2gUJCXDl6RWuPr/K1c09+emn\nzGcIIYQQ4sf0zQpAMTHfKlkIIYTIuGXLYOLE5G9pUhelUslCv4Vsv7aT24tWMGECNLfRYEuHLSy7\nsITazcJUOqA4JR9iP7DhygayXxmOnR3kz59y27YV2uL32I/Wdi9xcVEtZ9+tfTj7r0Zz+zEWTtdX\n6fBih6oOnH69m+uBcSQkpK/P1FNTKfF8CE4/G2RoRc6f28Del3DB3R0iI5Nv9z7mPav8V/HqwFgm\nTAA9PdWzktO9WnfOv3Yjb9FX7NobxXiv8bQvNIrsmtmTPTBbCCGEECI9ZAWQEEIIkQ5KpZJNp48T\nZN4O6/kj6dYjjvBw9efEJ8Yz1G0o6y5uxuCwH51aFPzr2vKiukXpadKT2JoL1HIO0O9XfsfCwIpd\nzqUZPz71trmy5cK6tDX6tQ+ze3f6t4G9iXrDz+4/05EdVDIshpWVanMsm78spfOVIo/pcYKC0m5/\n88VN3O66EbZnNK1bq5b1d/bG9hwOccG8ZiJHjiTfZu2ltZjrN+bO2XIMGpTxrC/lz5mfVuVboW83\nnn4XzNDNpsvrY4Po31+uYxdCCCFExkkBSAghhEhDojKRhpsaMu7kL9TO35oY3dto9WpJp+5vefpU\nfTlKpZLue/px0DeIF3N86NysOLNnf95mTN0x+MdtwuPMi69uiVJFyJsQZvvMRuE3lgEDoGTJtPu0\nq9COgGhXlEq4ciV9OeOOj6NV6fbsmFv7q8+SXt2rdUfbLH3bwCZ4TcDWYBzlSuilesB0WowLGaOb\nXRfz9ueS3QYWEx/DonOLyHv9V/r2hWzZMp6VnMHmg7ka40q+q9Ow13DB/aAO3burN0MIIYQQPxYp\nAAkhhBBp8A7x5l3MOwwPXmdSq/4c7HqQtpbG3LSoR+VqMQwfDu/fZz5n4dmFHAu4SoMwV4Ju5MHJ\nia+2SxXVLYpDtS4oLReza1fGct5EvaHljpb0LDUR/wO1cHJKX79W5Vvh/cAbW/vIdG0DO/3wNG5B\nbrzdNwsbG6hePWPztTO242X+w+zc+4H4+JTbnX18lstPL6N1ZQht2mQs6+8cqzlyP/9KPD2//u+7\n5tIaqhYw5diW6gwYkPmsL9UrUY9no54xvYsdPXtCixZQoID6c4QQQgjx45ACkBBCCJGGdZfX0dGo\nP48eKmjQALQ0tFjWcgk1KxRn3K4N3L0Lzs6Zy3APcme+zyKUOw+welku9PVTbjuu7jgSTNYycsJr\nfv9dtZzYhFg67elElezNOTx5KFOmQJ486eubP2d+zIuaU8jSk8OHU2+bkJjAkCNDsHyzjMdBepn6\n8ymUqxANStXlvvYBOnSAjx+/bqNUKvn1xK9MtZqG28EctG2b8bw/Dak5hNOhx6lmfZNDhz49fxv9\nlplnZmLxYQ716kGJEpnPSo5CoaB7dyhYEAYOzJoMIYQQQvw4pAAkhBDiu+XvT4ZXwaRX+MdwPO55\noBXYnbZtQUvr07vpjaaz/OpMRoyJYvv2jGe8jHxJ7wO9qf1kN0O6lUizIFMyb0mal2/KoBW7+e23\npJvJ0uPFxxfUX9+EGxf0uTx3AePGofLZNe0rtOdmoivh4RASknK7rde2EvsuPwG7OnDwIOTMqVrO\nl3pW74Zhi+0UKABNmvDV9jePex6EfwzHXLsHcXFQrVrm8gB0s+syps4Yoi2nfLYNbPaZ2bQu34aD\n66oyZEjmc1KTPTvcvYvKZycJIYQQQnxJCkBCCCG+WytXQvfupHhIrzpsubqFdhXbcWRvXjp2/Pyd\neVFzahWrxfUczrx+DTduZCxjuMdw2pV24PS2+gwfnr4+3ap2w+vFTnbsgBUr0m5//fl1aq2zINS3\nIb1y7+J2oCY9eqh+qHDbCm05EnSY5i3jU/xzj46PZor3FF7smIPrfgUFC6qWkZx2Fdpx9okfc5a/\nIDwcbt369O7ho0Ts1jphlTiTP1y0aNNGfYclD6k5hCcKP/yCr+DhAQ/ePmD9lfXUi/uN9++haVP1\n5KRGWzvrM4QQQgjx3ycFICGEEN+lqLhoXD4OwXR2BxwHhXPtmvozlEol6y6vo6ZGf0JDwdr66za/\nWf3GfL95dOz6gZ07Vc84fPcw556cQ+E9g27doFCh9PWzKWvDzfCbGJR/RHAwvHmTctuY+Bja725P\n6UdTMY+YwexZGhkuKpTMW5LieYpTtpFfitvAnC86U1TDlIq56lClSsZyvpQrWy7aVGiDy83d1K0L\nfn6f3o36YxEa8bo89mzPjBnQvr16MgF0tHUYX98J/d796fD7AGw2t6GF/k+MG1yULVu+PqNJCCGE\nEOLfSgpAQgghvjv3X9/HbGUdyBVOI5NyMKg6TfqeZPNm9X5/ORJ0BA2FBttm12XGjORveqpqUJU6\nxeugV3c3O3ak/3p0SDpLZvCRwTR4s55Tx3WYNCn9fbNpZqNjpY7svbMLCwvw9U257Wr/1eSOrkCY\nW0+1FC3aV2zP4zwu+PrChw+fv4uIiWCO7xwKXp9J166Zy/lS96rd2XZ9G3Xrfvq855+c5/CbeUwy\n3sahgwpevky+UJcZA2oMYGDtbrSrVYP3+2fjMX4i+/ZBnTrqzRFCCCGEyEpSABJCCPFdiU2IpcmW\nJpSPcqRHDhfmN5vHDvsNxLXvzKr9lyhVCs6cyVzG3r0wYu0++hzog73uSqKjFDg4pNy+XYV23Ixx\nJ2dOOHs2fRlKpZLBRwZT+F1bLrg0wts7/at//uRQ1YGdN3ZSv37Kn/lt9Ftm+czi+fZ5bN2a/gOf\nU9Oneh/+uLMD87rvOH7883fOF52xKtGEM3urYGeX+ay/a1K6CQ/fPsSwWhC+vkmfrcveLmQ/tobO\nTZPusc+fX33bv/6UXSs7I2qPYOeogQxq3BrXvdrUq6feDCGEEEKIrCYFICGEEN+VzQGbqVCgv66f\nJgAAIABJREFUAlHev2DTLOn/9G3K2rC01QLiWvRn+sx4Jk7M+Piv3r+n96ZpLL/3M/UferBjZiPm\nzk191Uzzss05EXIC+65x6T4Mevv17fjdv8rLHfPx9obChVWfa/0S9Xnx8QXFzQJTLADN8ZlDdZ02\nGGpXoWZN1TOSY5jHkBblWqDXaP1n28Ci4qJYfG4xlnHjMTODIkXUk/cnLQ0t7I3tuRC9nWcE0GRj\nc+rot6Hgqw6ULKnerOQoFDB5MlL8EUIIIcR3SQpAQgghvhtxCXHM8pnFOIspnD0LjRt/eudo4oi+\njj4vyy4hJAQuX1ZtbKVSyTzfeZRaUgadEne48rMvmi/MKFUKmjVLva9BbgNK5ytN6YZnOXw47W1g\nIW9CGHF0BPm8djBzqo7KK3/+pKmhSRfjLtzJtoOrVyEq6vP3Ye/DWHd5HZqnf6Nfv4xlpGSE5Qgu\naizjsFs8cXFJzzZc2YCloSW++6uoffvXn7pX686icwuJtWuORba+1Hy1+LO/B0IIIYQQInlSABJC\nCPHd2HZtG2XylSEuuA6mpqCn9+mdQqFgdavVzPObQ9chwSxerNrYnsGebLiygcIep9jcdgdVixvh\n4gLu7unbUtSibAtuxroTGwsPHqTedrjHcNoVHE30A1Ps7VWb55d6mfZi282NGFeL4/z5z98t8FtA\n53I98fUoqvaCjHlRc8oUKImB1T4WLkzamjffbz5Dqo7H05OvbkxTZ+6KFisYneMWuW7356S3phSA\nhBBCCCHSQQpAQggh1CoiApYsUf/X+ejYeCYem0mPEpM5eDD5VTll8pdhsPlgXldYxOHDEBaW/vFn\nnJ5Bh3yTyR5R6bOx03ueTIuyLfC4546VFXh7p9zuUtglLj+9zK2Nw5k4ETQ10z/H5FQ1qEp5/fIU\nsvqD06c/PX/x8QWbAjZRMGg07dt/XixTlxGWI4ivPZuZbhvpu3s0ZfTKM6lPLYYOhXz51J8HSYW+\nnqY9sa6Xj9On4dQpaNQoa7KEEEIIIf5LvlkBKCbmWyULIYTICtuvbafzxp8wqfmROXPA2Vl9Y3+M\n/Ujt+d15fa8McwY3YOdOaNs2+bZ9zfqyP2gX9t2iWbkyfeOffnia0PehXNpiz8iRGTtE2MLQgkfv\nHlG9QRgnT6bcbtqpaXQoOI7wpzno0kX1nOQMtxhOUP6ln50DtPjsYrpU6cqe34uqffvXn9pWaItN\n+UYYtzyNp1cskfuXUK0azJyZNXl/V6sWXLoExYqBgUHW5wkhhBBCfO9kBZAQQohMO/PwDEMOjeDQ\niZfE9DJjxR9XmDkTXr/O/NjBb4KxXF+bOzdz4D3IlVu3ksY1MUm+vVFeI0wKm1Cx/UHWrYP4+LQz\nZp6ZiX1RJ27d1Er1tq/UaGloYV3amngjD06eTP4coMtPL3Pp6SX81/Zn0iTQ0spY1pfalG9DlOYz\n/B6eJy4OXke9Zu3ltRQJHoueHtStq56cL2lqaLLIZhF+YzdSIWg1JXIYs3q1+m/hSk6uXGBqimz/\nEkIIIYRIJykACSGEyJSQNyHY7bEjp9s2PPrtYmHrqQz0s6ZZp8fMmJG5sZVKJY77HSkT1ZVGERux\nrJEzXf16m/bm6PONlCoFJ06k3vZi6EUCwwM5s8KRadMge/aMz7dF2RZcijhCQgIEB3/9ftqpabTO\nO46I1zkyXGhKjqaGJsMsfyJv82XYjjhNJ5dONC7agaXTSrJ5c9YXZDQ04Phx2L0781vaVDFiBDg6\n/nN5QgghhBDfMykACSGEyDClUkm3fd2onTgOM71mWFlB16pd6WLcBYOW69myBYKCMj6++z133kS9\nIWDlWCaMT38Vw7aSLeefnKe5XSi7dqXedqL3RNrk/ZWXz7PRs2fG5wrQvmJ7Tj48SU3rx19tAzsR\nfIKrz65ydkV/ZsxQf6Gkb/W+vCt8AE+dvigC7XjkvIIpU6BiRfXmpERb+59Z+fN33bqBufk/mymE\nEEII8b1KtQAUHR2NhYUFpqamVK5cGScnJwCmTp2KoaEh1atXp3r16ri7u//VZ/bs2ZQrV46KFSty\n7NixFMeWApAQQnz/zj05x7P3L/BdNIzZsz89H2Q+iF131zNwSBzLl2ds7ERlIhO9JtJEczpGJTSp\nUyf9fXW0dehUuROxlbZy4EDK584du3+M4NfBnF7Sn9mzM78lK1/OfPQx7cPHqos+Owg6Jj6GIW5D\n6Jx7OTm0ctK+feZyUsq+89Mdnoy7zUuPQeTRycHQoerPEUIIIYQQ36dUf9TNkSMH3t7e6OjoEB8f\nT7169fDx8UGhUDBy5EhGjhz5WfvAwEB2795NYGAgoaGhWFtbc/fuXTQ0vq4zSQFICCGyzp27Caxc\nH0HLxvlo2BBypm/nlMqWXVhG+bc/UbCpxmdn8lQ1qEqpvKUoVv0w07p0YNEi1Ysr+27tQ4EGh+d3\nYP061efW27Q3PV17UrXaWNzdNb4quiQkJjDGcwzNtedwKVc22rVTPSM5I2qPoPKlKuQ8OxGlUh+F\nAub5zqN8vsq4Tm2Ds3PWrZQplqcYAH5+SRnJfPsVQgghhBA/qDR/NNTR0QEgNjaWhIQE8v3/Xldl\nMqdbHjhwgK5du6KtrY2RkRFly5blwoULyY4rBSAhhMgaSqWSjlt745ytLONWnaFIkaSrstUtNCKU\no/eOcmlDbyZN+vr9YPPBuD5xxsgo6XwYVcQnxjPJexKWH2dSvpwiQwf9WhpakkMrB9VtvZLdBrbt\n2jZyauTmj+m2LFyovqJMUd2idDLuSKTxCs6dA/8wf5aeX4r28aXUrg1NmqgnJzW5csH/v30LIYQQ\nQggBpKMAlJiYiKmpKQYGBjRq1AhjY2MAli9fjomJCX379uXt27cAhIWFYWho+FdfQ0NDQkNDkx1X\nCkBCCJE1fj3uxP03QcypvYGn9TsyaMVOHBzg2TP15qz2X03D/A4YFtCjfPmv33es3JErz67QrMs9\ntm9Xbez1l9dTMEdh/pjXjDlzMjY/hULB0JpDCcq7End3+PDh07uImAgmek/EKGg+LVsoqF07Yxkp\nGVt3DNRaQcPfm2CzqQ1ttZZz/3KJf+yGLCGEEEIIIb6U5oJ8DQ0NAgICePfuHTY2Npw8eZLBgwcz\nefJkACZNmsSoUaPYsGFDsv0VKfyke+PGVKZOTfpnKysrrKysMvQBhBBCfLLafzV7rruif8yXkcv1\naWpemmZbm9G6T3kcHGrg6amew4ej46NZe3ktTZ+comPH5Nvk0MqBYzVHPsZu5tC06Xz8mLQyJS3v\not8x9eRU2n/woGRTBaamGZ9nt2rdGO81nhqNH7NnT3F69056PuHEBGrms+HErDoEBmZ8/JSU1y/P\nNOsJvHpciDXDOnE4IRt+frIqRwghhBBCqNfJkyc5+eXtIylQKJPby5WC6dOnkzNnTkaPHv3XswcP\nHtCmTRuuX7/OnP//mvbXX38FoHnz5kybNg0LC4vPQxUKrK2VeHqmN1kIIf4b5swBOzsoXVr9Y8fE\nx1BiSQnsorzQeGnM0qVJz6efmk5oRBhBS5xp1Qq+OL4tQ+b4zMHnkS8BYw/h6QmVKiXf7kLoBRz3\nO1Ly8C1691LQpUvaY4/zHEfIi5ecGLYBf38oVSpzcx3mPoxXYXm4snAGN27A+dCz2LrYUsrtJt07\n5mfIkMyNn5a7d+HtW6hVK2tzhBBCCCGEUCgUyR7ZA2lsAXv58uVf27uioqLw9PSkevXqPPvbPoL9\n+/dTtWpVANq2bcuuXbuIjY0lJCSEoKAgaqXwE69sARNC/Ghu3QInJ1i9OmvG33drH1UKVcHP1ZgO\nHT4972XaC5fA3Yz6NTLNK9HT8vQpeF6+wwK/BfQtspw8eVIu/gDULFqTyLhIrDrfTNc2sOA3way/\nsp6Q9TMYPz7zxR+AITWHcOLNenLk+cjmvS8YcHgALTUWk/gxPwMHZn78tJQvL8UfIYQQQgjx7aW6\nBezp06f07NmTxMREEhMT6dGjB02aNMHR0ZGAgAAUCgWlSpVizZo1AFSuXBk7OzsqV66MlpYWq1at\nSnELmBSAhBA/itCIUPbd2sdF50F07arNjh1JK4HUfUOTs78zXUoNY8ojqFfv0/PiesWxNLTkmf4f\nBAU58vQpFCmSsYxfnRLZmaMf49tNxs/NKMXtX39SKBR0qtyJCP7g1KkqvHsHenoptx93fBzVo0eg\n1CjCiBEZm+OXKhaoiKWhJYda6NE/QI92lVpxYLI9p0+pZzucEEIIIYQQ3wOVtoCpLVShwMxMyaVL\n/3SyEELAq1egr/8PZUW+osGmBsTHKQi+lYdLTjtxbFeSxYuhUSP15dx4cYNmW5sxSuMhgTe0+fJY\ntr2Be1l2YRmF3U/RrBn07at6xrUn9zEf9RuFKgaht/cMHz9o4upKmmf0+D32Y8ChAZQ8coMePUhx\nG5jPIx867XQgcdltLp/X4W93CmSaUqkkMRGMjRUkJkLv3kmrsYQQQgghhPgvyfAWsKwkK4CEEN/C\nzZtQogS8fp31Wat//4DJ/FZYl2hN03vXqKvfAWuXmjR1uKXyrVhpZvmvple1fqxdrU3Xrl+/b1Oh\nDbdf3qamTRCHD6s2tlKppN/BftTdaIFRvuIEjD2EVUNNtLXBxCTt/paGlryNfotl61u4uibfJlGZ\nyIijIyh2azbTJqq3+ANJ3wg1NRVMngwFC8KYMeodXwghhBBCiH+7b1YAion5VslCiB+Zry9ERsLv\nv2dtzp0XwQzzb4L26yps6zWH7ds02PXzGIbWHMoLo+Xs2wfR0erJioiJYMf1HXw8058qVcDa+us2\n2TSz0b1qd8IKbcLLS7XsnTd2cuXZFUxOBjPXZgYFcumzfDmcPZu+K801FBp0rNSRDyX/wMMj+a//\nO67vIC5WQfDBrjg6pn9uqnJwAB8f0ErzDkwhhBBCCCH+W2QFkBDih3L2bNL2n5UrISEhazJ2Xt9J\nrbUWFH/XlftL1nLhvIKdO6FwYehr1pdDIbuoWuMDR46oJ2/k0ZE0LtyRHc7FWb485XYOVR04FOJC\n1WpK0nlTJJFxkfx6/FfGVVvKnWt5aNUq6bmGBhQokP45dqrcicMPdmFcJREvr68znE44YfpsMd27\naaTrqvjMSE/RSgghhBBCiP8aKQAJIX4Yr6Ne4/ZqKS/r9SJvsXDc3NSfcfvlbYZ7DKei/1FmtP4F\nDYUGZcpA8+ZJ7w3zGNKgZANKt93J+vWZzzt45yBeIV48XLeQmTOhaNGU25oVMSMhMQGzlgEcOpS+\n8ef7zqd28drcOlqPrl0hW7aMzbNuibroaOtQqrXLV9vAFvotxKJobY6ur8ugQRkbXwghhBBCCJE6\nKQAJIX4I265to9SS0rzWuUDJwnl42qIOc9fdU3vOukvrsDXqS4ifGba2ybcZWGMg17KtISAAbtzI\neNbzD88ZdHgQFQI3o587D/36pd5eoVBgZ2xHVGkXDh2CtK4AeBLxhKXnl1Hl6TxWroRevTI+Vw2F\nBvOs53FKezyuh2JITEx6HvY+jCXnl9Aofi7ly4OxccYzhBBCCCGEECmTApAQ4j9PqVQyz3cev5ba\nR4Pw7SxvuYxJ1mM4W7E+3UcE0r49TJyY+ZyY+Bi2XttKgn8/evWC7NmTb9esTDNeRb2kw9BLLFiQ\nsazrz69Te0NtioYOJepOffbtS9+18nbGdng/30Ou3Er8/FJvO2DnZCJPD+T6mZK4uICZWcbm+qdG\npRphUqQyGhbOHD+e9Gyi10R6VevH1uWlGDw4c+MLIYQQQgghUvbNjsGUApAQAuD9e9DVzdqMgGcB\nvI99T2SgFZaWSc+GWgzg8rVIfJ6OYVKNIwwdmlQEypEj4zmut10xLliVA/PLpFpc0dTQpL9Zf4Je\nrOXgojWEhkKxYunP2X9rP/0ODMDw5hJyhHTjsAfo6KSvb/XC1QGw7n6FLVvMqFs3+XaB4YGcDDvM\nBKsgJqnxxqw51nOoF9KYTtPz0fTRFXzeuFHh2B1KloROndSXI4QQQgghhPjcN10BlNb2AyHEf9v9\n+1CoEFy8mLU5mwI24VjNkXNnNahd+9PzVb0HE6V7nTINz1KtGnh7Zy5n3eV1lH/fH3NzKFs29bY9\nTXtyKPgPHByjWbo0/RkuN13o/ccQEjZ7YF+pG97ekDt3+vsrFAo6V+5MQkUX/vgj5dvAJnpNRPf6\nWFo10Uv/4OlQpVAVfm04khpd3fDYU5jc+45TqbQeO3bIzVxCCCGEEEJkJYVS+c+XYRQKBZqaSqKj\n5Qd+IX5kGzcqmbL0Phpvy3LpEujrqz8jNiEWw0WG+PQ6S82yZbh///Pbq9ZeWsuewD00e+ZJcDA4\nO2cs5+aLmzTa3Aj9LY9ZsSQ7TZqk3afJliZ0LDmISbadefgw7ULOgdsH6LN/AMqtx/DbZ0LFihmb\n65WnV7B1saXUoSAGD9Sic+fP359/ch7bXZ34OOcur57nRFMzYzlpzuMKnDkDP/8sN3MJIYQQQgih\nDgqFgpTKPN9sBVC2bLINTIgfmVKpZMnNXwntUBHtHh3o0Cc4S65ldw9yp0KBCsQ8K4OBwddXl/c2\n7c391/cxsDiVroORkxP+MZz2u9vjYDCL7JrZadw4ff0cqzniEbYVc3Nwd0+97eWnl+l/qD8GJ46w\naGzGiz8ApoVNKZ2vNAbtlrJly9fvx3uNp7XuFBrUybriD0D16jBsmBR/hBBCCCGE+CdIAUgI8Y9T\nKpX8evxX7sYf43CThzg2Meds1Zrkru5O+fLqOZD5T5uvbsamUC9WruSz7V9/0tbUZlKDSex8NAcd\nnaRVKap4+zGS1jvbYFfZjsBt/Rg5Mv0FDdtKtpx+eJqm7cPZty/1tlNPTsWKqRSKN6dnT9Xm+CWF\nQsHa1ms5Fjmbk9fu8+LFp3enHpzi4duHKK72wsoqczlCCCGEEEKIfw8pAAkh/nHO/s643T2K5vbj\nNLUsxiSrCezp/jvlBo1n924ly5ZBVFTmcxacXs6hyxdZM7wz8fHg5JR8u46VO+Lz2IfmbT9w8GD6\nx4+Oj6b0ODv8Pcqzf9gMbtyALl3S3183uy6tyrciptwu3N1TPo8n4FkAF57447WwD6tXq2fFTJn8\nZRhf34ncXQcwbLiSjx+Tnk89NZWJDSZy+qSWFICEEEIIIYT4D5ECkBDiKxs3wunTWTN2ojKRRWcX\n0bvgampV1f/rHLC2Fdqg0EgkLJcbZmZw4kTGM5RKJRO9JjLHawUtnp7hUVAe1q8nxW1TebLnoVax\nWhSufSLdBaCPsR+xWtua6Pc6PF+3nh3bFXh5JX1tU4VjNUcOhGylatWUP/OsM7MwjRyNnW2OTG39\n+tJwy+EUNXrPTYOJmNdK4Hevkzx+9xjrQt15+hRMTNSXJYQQQgghhPi2pAAkhADgVeQrerv2pf/w\nV4waBTNmZE2O531P8mTPw8urFp9dQa6h0GBC/QnMODOD1q2VHDqUsfGVSiWjj43m0C0PEtb7sOw3\no3StmGlVrhUh2m48egSPH6feNiouCpttNkQ8Kc6IEjspkC8bpqYpF5hS06R0E0Lfh2LR7mqy28Bu\nv7zNqYenuL19IH36qD5+arQ0tDjUzZX8pj5oOjZnoMt46iZMwue0Fg0akKXn/wghhBBCCCH+Wd+s\nAJQ9uxSAhPi3iImPof2uDvxx7hz7FF25diOeixchLEz9Wav8VzGk5hDO+imoU+fzdx0rdeRN1BsK\n1vLm8GFITFR9/EnekzgRcoJqV4/R36EgRkbp69eyXEs87rvRtJkSD4/U224K2EQuLV2er91A/76Z\nq5JoaWgxtOZQHhZewsGDEB//+fuZZ2bSuuDP6GbPRY0amYpKVlHdopxwPEGHmpaUrxxDwJZuDB2K\nbP8SQgghhBDiP+abrgCKiflW6UKIPymVSgYcHkDE04KYXbiCafVElt0cT4cOsGuXerMevn2IzyMf\nOlXoir//14cya2po8mu9X9nxaC65c8Ply6qN32/jPFZ576fESU+OuuZn/Pj0962gX4Fsmtkwbnw9\n1QJQojKRZReWUTN2HOY1NNJdYErNwBoDOR7qSpFyzzhz5tPzGy9u4Hnfk5hTw+nVK+tuy9LS0GJ6\n4+ncHHaJ82e1GD4cOnXKmiwhhBBCCCHEtyFbwIT4wa32X83lJzd4snwr61Znw6Xzbv4I/AOj5q5s\n26berCmH1tK2ZA+CAnNhZAR5837dxt7YnouhF2nU7olK28A87x9n460lDMjhSXfbgvj6Jj9+ShQK\nBS3LtiSq2BFOnIC4uJRyPMmmmQ2f7Q3p1y/946dGX0cfe2N7CrZcxdq1n55P8JrALzXHcWS/Lt26\nqScrLTlywOTJULz4P5MnhBBCCCGE+GdIAUiIH9iLjy+YfHIyBX02M3yIDuXLJxUjVrVaxZ6Xk3j2\nXElgoHqy/IPvs/n6OtymDaZBA6hXL/l2ObVz0qlyJ6i6Pd0FoLD3YXTd04Oi57cxe3xR7OygXDnV\n59iqfCtOP3OjTBk4ezb5NkvPL6Vz8eHcClTQrp3qGSn5xfIXrmdfw5mzUfj6wtnHZ7ny9Ar6wYOp\nXx8KF1ZflhBCCCGEEOLHIwUgIf7FlEr48AESErJmfKfjTtTJ1YOwgCqMG/fpuU0ZGzQ1NLHs7sb2\n7ZnPef7hOa122lD97W88D6xAUBDMmZNye0cTR85EbOHBQyWPHqU+dnxiPF33dqXyhyH0qNs4U9uk\nrIysuPrsKlYtXuPu/vX7Oy/vcOnpJc6vd2DsWNVv/EpNxQIVqVnMnFLDBtJt3hZGHRtNL6OpTJmQ\ng59/Vl+OEEIIIYQQ4sckBSAh/oW2+u8jxwgTNGtspEABaNMmYwcip+bck3N43PPglvNUFi1KOpj9\nTwqFgnF1x/Gg+Bw2boT37zOeExkXSYvtLcjzoAdjGw8CwNAQ9PRS7lO3eF2i4qNo0v0y69alPv7+\nW/uJiY/h6Z7x2NpmfJ4AObRyYFPWBkUVl2QLQAvPLqR5wQFcv5KDoUMzl5WcFS1W0MSsDB+LHCX8\nbmmcBzni7AxNm6o/SwghhBBCCPFjkQKQEP8iETER2P9hz8+uTtRVjqN8n7n03jOU8NexrFypvpz4\nxHiGug2lufYciurnoUWLr9t0Nu7M24RQTNv6MnVqxrPm+87HMFdpnrtMplWr9PVRKBT0qNaDnBZb\nWLsWoqNTbrvi4go6GY4kNlpTLbdk9THtw+n3G3n48PNb0O6/vs++W/u4sf4XZs5MOitH3UrlK8VU\nqykcG7id6B1b2feHllq3mQkhhBBCCCF+XFIAEuJfQqlUMuDQAF690Cb39gD2/+bA+X7nefT+ARWH\nj2LaNNR2Hs+y88vQ1c6Lx7zuzJ2b/O1SWhpajK4zGmXteWzdCteuqZ4TGhHKsgvLsIpZSJPGCnR1\n09+3h0kPjobtwsQsLsXbyK49v8a91/eION8BW1v13JLVrEwzwt6HUrPVDY4e/fT8t9O/0UT3Z5Qf\n9enaNfM5qaleHR49gvr1szZHCCGEEEII8eOQApAQKggORqWbqVSx7do2rj67TtCidaxblZM8eUAv\nhx5rWq/hyKPtTJkRSc+eSecCZUbImxBmnZlFzWdrqG2pwMIi5bY9TXriG+aN02+vGTxY9W1o473G\nM7DGQE4eKKnyteJl85elTL4y1HU8xtKlyX/uFRdWMKjGIA7s06ZjR9XGT4mmhiY9TXqiUWMjLi5J\nz26F38I9yJ3ADSOYMQM0/oGvnFl15bsQQgghhBDixyQFICFUMGwYdOsG4eHqHTf4TTAjj42kzJUd\nNGmQ87MtWYZ5DLE0tESv9l6eP8/cKiClUsngI4NpknMUmxeXZdas1NvnypaLJqWboGdxkOhokj0X\nJyX+Yf4cu+dJ5VdOnDwJrVurPt8uVbpwL/tuIiPBx+fzd2+i3uBy04VKUf0JD4fatVUfPyW9q/fm\nf+3dd3iP1//H8WeWPSI2qdEKyUdINMrXFruKqp2YpVUUX2q0qlraEl/Vqt2qVXsTau+gJVYoKaVi\nRYygRiQi+dy/P/KTNmTnEyFej+vqddV9n3O/z329G453z33O0agFHD8ZyaFDBiN2jqB5/sFYRcb/\nuZyIiIiIiMjzTgUgkSREm6OZdGASI1bMJ+DPUDp0AB8fyz3fMAy6relGHethXDzoxpQpT7fpUakH\ns4/OokWL1K9AMgyDoVuHEnjuDr99O5gdO6Bs2aT7tXZpzZpTq2jdGrZvT16s62HXeWtWR+6s/B9z\nZ+Rm9uzEN31OSFtTW9b9uZaeH4bzww9x7/105CdqFnqLD7sWYcECsLFJ+fMTUsahDM4FnXHq8zEN\nlr/O+b/Pc2bhhwwdqpU5IiIiIiLyYkq0ABQREUHVqlVxd3fHZDIxbNiwOPe//fZbrK2tuXXrVuw1\nHx8fnJyccHZ2ZsuWLQk+WwUged49fAiLlkXQYYUXS08sZfquVdzq9BpZ3/qEn38myePJk2vesXmE\n3gln97j/snIl5MjxdJvm5ZoTeCMQj4ZnWbs2dXHG7RvH0iMbsVu2nv2/2uHqmrx+zco2Y9f5XVSu\nfg8/v6Tb34m4Q8Ofm3D3t/YcmdOZbdtI8edfjxXNXZTXi75OXo+NbNoEUVEx12+E3eB/e7/hyMTh\nfPcd1KuXuucnpn+V/jwqeAir3V/Sy/ogF87mpH17y8cRERERERF5FhItAGXLlo2dO3cSEBDA8ePH\n2blzJ3v//zuMS5cusXXrVkqWLBnbPjAwkKVLlxIYGMimTZvo06cP5gQ2DVEBSJ53q9ffo9PGN9mx\n06DNg+0U3L6a0/1OseDUj7zfJzxNJ2M9djv8Np9s/4Tw5dOZNsUGJ6f422WxyUKnip04lX0OgYFw\n/XrK4sw/Np9pB38k4qctLPjJgWLFkt/XPps9NUrU4Lr9Bk6dgrt3E24bZY7i7SVvk/NWdd7JNwpn\n55SNMz4dXDuwNWQpJUvC/v0x14bvGE6hqx15t5mJjh3THiM+rU2t2ddjD8PbNKdnTyvQSV5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xj7bPa828KJh+cr4V7RhhYtLB9DREREREREJKVUAEonEyfCkCFgGOnz/GhzNN19u1Pi3EjerlPy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\nF45/XPOOz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"text": "" } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": "take a look of ARMA mannual" }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": "2.3 ARIMA" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Now, let's define a function to test and plot different ARIMA scenarios: " }, { "cell_type": "code", "collapsed": false, "input": "from statsmodels.tsa.arima_model import ARIMA\n\ndef Plot_ARIMA(p,d,q):\n arima = ARIMA(co2, [p, d, q], exog=None, dates=dates, freq='M', missing='none')\n arima_results = arima.fit(trend='c', disp=False)\n co2_ARIMA = arima_results.predict(exog=None, dynamic=False)\n \n if d>0:\n co2_d = co2[d:]-co2[:len(co2)-d]\n else:\n co2_d = co2\n\n plt.figure(figsize=(20,5))\n plt.plot(dates[d:],co2_d)\n plt.plot(dates[d:],co2_ARIMA)\n return arima_results.aic", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": "aic_001 = Plot_ARIMA(0,0,1) #MA(1), OR ARMA(0,1)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7d98N/v5mClZRLBaTXfTss3DPPY6d86/OngVvb9O3qHZtc61/fxNkKk4Wk8i1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\nGTMGBwcHHB0d2bNnT/I8tRD/k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"text": "" } ], "prompt_number": 19 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": "This is essentially a MA(1) model, we can also call the MA(1) or ARMA(0,1) fucntions in Scipy to achieve the same model. Next, we can test the AR(1) model, ARMA(1,1) model, and so on." }, { "cell_type": "code", "collapsed": false, "input": "aic_100 = Plot_ARIMA(1,0,0) #AR(1), or ARMA(1,0)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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izAuYRbbU2aiSs8on5ZEvhwpAIiIiIiIi8sU6exYePYJSpWDt2bU0yNvgvecu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cJsT//XX9BwaX3qFaqHt4t3pDHt20P27FC1/WY6/d6JwK6BpLBKEa84Udm+3Ux8HT8OH/9cmtHV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\nnBJAIiIiIiIiIiLJn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"text": "" } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": "aic_101 = Plot_ARIMA(1,0,1) # ARMA(1,1)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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iIiIiIpIi/C+FUGhqafJPKcEC30WER4YnW2yTCRYuhJlLg/EtXg+fWz6sbbX2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\n", "text": "" } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": "aic_001, aic_100, aic_101", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": "(3415.9859841534144, 1540.2555026390642, 1240.7364300383967)" } ], "prompt_number": 22 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "What do these AIC values mean? Which mode is better?" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Try Plot_ARIMA(0,1,0), i.e. Random Walk, and ARIMA(1,0,1). What happend and why? Test a few more cobinations of p,d,q." }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": "2.4 ACF & PACF" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Now, let's test the co2 series for autocorelation and partial autocorelation. " }, { "cell_type": "code", "collapsed": false, "input": "acf, ci, Q, pvalue = tsa.acf(co2, nlags=24, alpha=0.05, qstat=True, unbiased=True)\nsubplot(211)\ntitle('ACF')\nplot(acf,'b^')\n\npacf, cip = tsa.pacf(co2, nlags=24, alpha=0.05)\nsubplot(212)\ntitle('PACF')\nplot(pacf,'b^')\nvlines(np.arange(len(pacf)),[-0.4],pacf,'b')\n#tight_layout()", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": "" }, { "metadata": {}, "output_type": "display_data", "png": 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Ksm9vdXWOHj1qts28efPwq1/9CoGBgWhqasK2bduUdElERAooOtO3pOzBypUr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\nSx4bfe0LqceGqmf6x44dQ1h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"text": "" } ], "prompt_number": 23 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "A sharp cut off in PACF and a graduate decay in ACF is observed here. So, this further proves that we should use the AR() model more than MA() model. However, keep in mind, we haven't done any preprocessing yet (i.e. differencing, transformation)." }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "3. Differencing & Transformation" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "The previous corelograms indicated strong autocorrelation. Now try to difference our time series by lag 1 (by using numpy.roll function) -- Let's see what happens." }, { "cell_type": "code", "collapsed": false, "input": "# diff by 1 month\n# Differencing by one month forces us to drop the first (or last) 1 value. \ndf1_co2 = (co2 - np.roll(co2,1))[1:]\nplt.figure(figsize=(20,5))\nplt.plot(dates[1:],df1_co2)\n#df1_log_co2 = (log_co2 - np.roll(log_co2,1))[1:]\n#plt.plot(df1_log_co2)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": "[]" }, { "metadata": {}, "output_type": "display_data", "png": 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qLPLOtTZrTW8hEC9hYT38b0wdRVxx2T9vq8SeOXPSF3uOOorW1S6d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\n7exR5bcyDeOycU0lmbMnDBNRwoWzJ02xx7QN2TxP02pcNs6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f7yJBc3MzVbKLS1+f3Xhr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NxDWbNxUc3xSaopq+rx6fCwXeviPluq+QBIJnt8zwlpz+fx4+Y5mUw2kWhmz4kTZlLxmWYNZI/s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\nCgIyrdcB011t1SqesaTQ1wfcf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"text": "" } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": "acf, ci, Q, pvalue = tsa.acf(df1_co2, nlags=24, alpha=0.05, qstat=True, unbiased=True)\nsubplot(211)\nplot(acf,'b^')\n\npacf, cip = tsa.pacf(df1_co2, nlags=24, alpha=0.05)\nsubplot(212)\nplot(pacf,'b^')\nvlines(np.arange(len(pacf)),[-0.6],pacf,'b')", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 25, "text": "" }, { "metadata": {}, "output_type": "display_data", "png": 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"text": "" } ], "prompt_number": 25 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Now, it seems that the trend component had been removed through differencing. What is the middle spike in our ACF corelogram?" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Now, let's try to take into account the seasonality. Can you understand the following code?" }, { "cell_type": "code", "collapsed": false, "input": "# Differencing by the 12 months forces us to drop the first 12 values. \ndf12_co2 = (co2 - np.roll(co2,12))[12:]\ndf12_dates = dates[12:]\n\np = 1\nd = 0\nq = 1\n\narima = ARIMA(df12_co2, [p, d, q], exog=None, dates=df12_dates, freq='M', missing='none')\ndf12_arima_results = arima.fit(trend='c', disp=False)\npredicted_df12_arima = df12_arima_results.predict(exog=None, dynamic=False)\n\npredicted_df12_arima_co2 = np.roll(co2,12)[12+d:] + np.roll(df12_co2,d)[d:] + predicted_df12_arima\n\nplt.figure(figsize=(20,5))\nplt.plot(df12_dates,df12_co2) \nplt.plot(df12_dates,predicted_df12_arima) # predicted ", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": "[]" }, { "metadata": {}, "output_type": "display_data", "png": 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HvyFP7V3l5aJ6prZWVOJFUugjL9cuGz9+8DMtX3lFBHa++Ax9YmNj8fzzz+P4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\noczxbPnyVPrsb9pPbuh5mJvj+c553/E7IffM8znaepR5sfMIUgcBStI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rUukJO84Nr97A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\n1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68X41h8PCxKWugaJ0cDuaVKapbytHfV24sJ6RSkj86Rhj1U2GqHIycyM8U1UXJqeL5u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\ni0QfYm6zeze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"text": "" } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": "df12_arima_results.summary(alpha=0.05)", "language": "python", "metadata": {}, "outputs": [ { "html": "\n\n\n \n\n\n \n\n\n \n\n\n \n\n\n \n\n\n \n\n\n \n\n
ARMA Model Results
Dep. Variable: y No. Observations: 452
Model: ARMA(1, 1) Log Likelihood -213.130
Method: css-mle S.D. of innovations 0.387
Date: Thu, 12 Dec 2013 AIC 434.260
Time: 21:04:20 BIC 450.715
Sample: 05-01-1975 HQIC 440.745
- 12-01-2012
\n\n\n \n\n\n \n\n\n \n\n\n \n\n
coef std err z P>|z| [95.0% Conf. Int.]
const 1.6828 0.118 14.273 0.000 1.452 1.914
ar.L1.y 0.8990 0.027 33.706 0.000 0.847 0.951
ma.L1.y -0.3345 0.061 -5.481 0.000 -0.454 -0.215
\n\n\n\n \n\n\n 1.1123 +0.0000j 1.1123 0.0000 \n\n\n 2.9900 +0.0000j 2.9900 0.0000 \n\n
Roots
Real Imaginary Modulus Frequency
AR.1
MA.1
", "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": "\n\"\"\"\n ARMA Model Results \n==============================================================================\nDep. Variable: y No. Observations: 452\nModel: ARMA(1, 1) Log Likelihood -213.130\nMethod: css-mle S.D. of innovations 0.387\nDate: Thu, 12 Dec 2013 AIC 434.260\nTime: 21:04:20 BIC 450.715\nSample: 05-01-1975 HQIC 440.745\n - 12-01-2012 \n==============================================================================\n coef std err z P>|z| [95.0% Conf. Int.]\n------------------------------------------------------------------------------\nconst 1.6828 0.118 14.273 0.000 1.452 1.914\nar.L1.y 0.8990 0.027 33.706 0.000 0.847 0.951\nma.L1.y -0.3345 0.061 -5.481 0.000 -0.454 -0.215\n Roots \n=============================================================================\n Real Imaginary Modulus Frequency\n-----------------------------------------------------------------------------\nAR.1 1.1123 +0.0000j 1.1123 0.0000\nMA.1 2.9900 +0.0000j 2.9900 0.0000\n-----------------------------------------------------------------------------\n\"\"\"" } ], "prompt_number": 30 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "How is this AIC value compare to the ones we produced ealier? Normally, we want to choose a model that produces the smallest AIC value. Modify the above code, and test the AICs with different models." }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": "Exercise 3.1 Log Transformation" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Now, let's take a look of a different date series. Try to plot and data, and see whether we need to do any transformation on it." }, { "cell_type": "code", "collapsed": false, "input": "# International airline passengers: monthly totals in thousands. \n# from Jan 1949 to Dec 1960\nair = [112,118,132,129,121,135,148,148,136,119,104,118,\\\n 115,126,141,135,125,149,170,170,158,133,114,140,\\\n 145,150,178,163,172,178,199,199,184,162,146,166,\\\n 171,180,193,181,183,218,230,242,209,191,172,194,\\\n 196,196,236,235,229,243,264,272,237,211,180,201,\\\n 204,188,235,227,234,264,302,293,259,229,203,229,\\\n 242,233,267,269,270,315,364,347,312,274,237,278,\\\n 284,277,317,313,318,374,413,405,355,306,271,306,\\\n 315,301,356,348,355,422,465,467,404,347,305,336,\\\n 340,318,362,348,363,435,491,505,404,359,310,337,\\\n 360,342,406,396,420,472,548,559,463,407,362,405,\\\n 417,391,419,461,472,535,622,606,508,461,390,432]", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": "plot(air)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": "[]" }, { "metadata": {}, "output_type": "display_data", "png": 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eoA0ICMDhw4dx4cIFzJ8/H7t27er0uEqlgsrO90xbj61cubLj58TERCQmJsrr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\n9pnzrz94kLYjKC2l8srhwzQ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"text": "" } ], "prompt_number": 32 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": "Is this data series sationary? The variance seems to increase with the mean. How can we stationarize this series? By transforming?" }, { "cell_type": "code", "collapsed": false, "input": "#log transformation\nlog_air = np.log(air)\nsubplot(211)\nplot(log_air)\n \n#1st order differencing \ndf1_log_air = log_air[1:] -log_air[:-1]\nsubplot(212)\nplot(df1_log_air)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": "[]" }, { "metadata": {}, "output_type": "display_data", "png": 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jBAKBoK7hcQKQnQ18+inlvoeHAz/9RK/v3Uu16qX176WMG0creO1x7Bi5ffgq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\nACKikPoBd9treOY/Fj4AAAAASUVORK5CYII=\n", "text": "" } ], "prompt_number": 34 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "How does the series look now? How does the ACF or PACF look like?" }, { "cell_type": "code", "collapsed": false, "input": "def plot_acf_pacf(data):\n acf, ci, Q, pvalue = tsa.acf(data, nlags=24, alpha=0.05, qstat=True, unbiased=True)\n subplot(211)\n plot(acf,'b^')\n \n pacf, cip = tsa.pacf(data, nlags=24, alpha=0.05)\n subplot(212)\n plot(pacf,'b^')\n vlines(np.arange(len(pacf)),[-0.6],pacf,'b')\n\nplot_acf_pacf(df1_log_air)", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": "" } ], "prompt_number": 57 }, { "cell_type": "code", "collapsed": false, "input": "# Differencing by the 12 months forces us to drop the first 12 values. \ndf12_air = (df1_log_air - np.roll(df1_log_air,12))[12:]\n\np = 1\nd = 0\nq = 1\n\narima = ARIMA(df12_air, [p, d, q], exog=None, missing='none')\ndf12_arima_results = arima.fit(trend='c', disp=False)\npredicted_df12_arima = df12_arima_results.predict(exog=None, dynamic=False)\n\npredicted_df12_arima_air = np.roll(df12_air,d)[d:] + predicted_df12_arima\n\nplt.figure(figsize=(20,5))\nplt.plot(df12_air) \nplt.plot(predicted_df12_arima_air) # predicted \n\ndf12_arima_results.summary()", "language": "python", "metadata": {}, "outputs": [ { "html": "\n\n\n \n\n\n \n\n\n \n\n\n \n\n\n \n\n\n \n\n\n \n\n
ARMA Model Results
Dep. Variable: y No. Observations: 131
Model: ARMA(1, 1) Log Likelihood 227.133
Method: css-mle S.D. of innovations 0.043
Date: Thu, 12 Dec 2013 AIC -446.266
Time: 21:17:33 BIC -434.765
Sample: 0 HQIC -441.593
\n\n\n \n\n\n \n\n\n \n\n\n \n\n
coef std err z P>|z| [95.0% Conf. Int.]
const 0.0003 0.002 0.124 0.901 -0.004 0.004
ar.L1.y 0.1448 0.245 0.590 0.556 -0.336 0.626
ma.L1.y -0.5190 0.218 -2.382 0.019 -0.946 -0.092
\n\n\n\n \n\n\n 6.9063 +0.0000j 6.9063 0.0000 \n\n\n 1.9268 +0.0000j 1.9268 0.0000 \n\n
Roots
Real Imaginary Modulus Frequency
AR.1
MA.1
", "metadata": {}, "output_type": "pyout", "prompt_number": 45, "text": "\n\"\"\"\n ARMA Model Results \n==============================================================================\nDep. Variable: y No. Observations: 131\nModel: ARMA(1, 1) Log Likelihood 227.133\nMethod: css-mle S.D. of innovations 0.043\nDate: Thu, 12 Dec 2013 AIC -446.266\nTime: 21:17:33 BIC -434.765\nSample: 0 HQIC -441.593\n \n==============================================================================\n coef std err z P>|z| [95.0% Conf. Int.]\n------------------------------------------------------------------------------\nconst 0.0003 0.002 0.124 0.901 -0.004 0.004\nar.L1.y 0.1448 0.245 0.590 0.556 -0.336 0.626\nma.L1.y -0.5190 0.218 -2.382 0.019 -0.946 -0.092\n Roots \n=============================================================================\n Real Imaginary Modulus Frequency\n-----------------------------------------------------------------------------\nAR.1 6.9063 +0.0000j 6.9063 0.0000\nMA.1 1.9268 +0.0000j 1.9268 0.0000\n-----------------------------------------------------------------------------\n\"\"\"" }, { "metadata": {}, "output_type": "display_data", "png": 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AyWTCnXfeiQMHDkw6pqKiAs3NzTCZTFmfSytTv1eCIWFHqb0QMMSRTCW1XhK9TYyKiIrj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QAAAg\nAElEQVSV5wtlRn42Wpvnk/9oaw1FSeLJpFVFq/jnyX+SV2CntFQgRH3BbIaj3ZXcPGupx88VYQpW\nTl7JP46/GbDCdP/pUyQ6i3xaDUqzc9D0+b7wnU4ndaZjXFHi+WU4IgI2vpEFJ2/hO28Epk7a0rCF\nKZHLKJ4c6tEq4gk5sllsOSbO6qY2qpFZ3JvcRmLuDAVylKItrS5UqitZkL6EXbvg8svHfh4ZCZmR\nk6nW+FcmCeHb5ezYIVgHb70VPv8cWlokrJi8wqPVrUpThUzvO3zbhetnVNAVVoXWC8/ncMD19x/A\nkbaPfzz8Xf87PIdfL/s1rdYa7vvzq9x9t/C+0tMDL786iDrub36tSEtylqCJrGTjxokrrPmy4rWj\nr7Fi8griI4fvQRs2iLe4TRQyYjKQxrUGpExyWLyTSXPngq1dfAh3oE1uI1GmKiMqLIqr8q8SvU2I\nNIQVk1aIVifl5wtkkti5q/YeDb1alVf3RVISTFLM5pOTgjJpcBDUjp3cvtB3XhJAojyRuIhYkgoa\nOTpsLGHLFlh6VR8ntSeYmTZT3IGeQ358Pi3dLRRN7T+vyiTLgIXoCBFkUlg0TlmPTzLp40/7kcQ1\nM0XlrqoIlYay7raXuWlRCbJ7rmT1mq4xWcC+4HQ6qdXV0nFqkmiLG8CcSdmYQwObeT3WcYzS5K/I\npIuFcZFJYn2k453xfvzxx4f+2759O/Mz57OnZQ933QV/+APjUihUa06TGZXvf0U/WJKzhF1nd7kl\n4P/Hf8Avfwn/+Z+etxl0DBIe7qS8XHhJCAZNxmaSIzLHVIoGApVCRYelwy+Z1Nphxe60eQ3STopQ\n0aQb+zZu7OsmJsI3QxAjj8Qu6fPr63XBnzKpoQHy8mDaNHj5Zc+z18ePQ0aGeOmlNygVShIyArO6\nucik9euFqtTRqiQQcpwUJHNWL27HXX1dQntYBx6VSaHSUFKiUobIDQDzgIlEuXibm1PmmUyyWsHY\nbccyYCYuwn0aUKlQEhan9RvwXt+qJUrivcnNhYrUCpwpVTz7LEFLb8Wiq8+IrTvOL8HlDSOVSdnZ\n41MmmfpNhNrjPJJJubnCS1Rzs3sIt9qopr6rnmV5y1Cr4cgRWHmOXwgJgdWr4d13JSzNHb/VzWwz\n09zdLARQesBPfiLI9p94Qrg2mxpDSY1OFdXGpOvVYe/2TSadro5BJpW5qbJOa88SYs4Omgz0hWCU\nSTUtbajkY0cNpZPiKJas4r4/vzq07GDHbi4vDGxWVCKRsCxvGQ9tfmgocD1YJCuSCYvvFHVfczqd\nDIQYyU31LAGYPTWJAaeVbutYj6zaXMOcPPFkUnlKORkxGWyo28DatUKYsi9s3Aiywkqum+KZTAK4\nf+6dRM1/jWeeEX0YAJzQ1FCc5Pl8d2FeUQ4midrnOi3dLThs4Vy72Pv9LzMTXv32j1l/5q8cOCne\n+ry5YTMD1ctFqZJcmJUxk0Pt4sikJlMTA1rvZNKcORBpLg4ohLvf3s8XrV8Q2raQoiLvz+hZBblo\nelux2n3L045ojpAiKSMxUcjwioqCNWvgxRfxSSaZaiqYPdv/8c7KqECadoRPP/X8rvv4E06OJf+I\nJ6//GXKZn5CTEYgIjeCNG97guTM/5JfPNrByJTz2GJSs2EJ2fAbTVNN8bl+RUoG2vw1VfseEFNZ8\nWeF0Onnh0AvcO/3eEcsCy0uaKKRHpzMQGZjNzWbybHMDYbJTcyIAZZIu8CY3F1ZOXsljix7zm3k4\nGquK/Ocmnew8ydwX57Lh7OuEh4vP4jvdoSFyMIXISO/r3LJgFtXGgzidTnbsM+FMqOPqaeJIoIrU\nCvIXulvdtmyBSYsPUqIsCeh6BSG7MC8+j7j8uvOqTOq1m4mNHGuRHY2osCgcoRZ0Ou/j8Pd31aAM\nyUcWMjY8ViqR8ux1z3L9tIVI7lrGjs/FK0y1vVpCpCHUHEoKSJlUnpuFI6oZfZfIASFfKZOCwfbt\n2934lfFgXGRSeno6zSPumM3NzWSM8qiMXqelpYWMjAxR27ow8h+7ZMkSSlWlnDWdpWKekcJCeP75\n4P8NalMDk5X+m4f8QalQkhWbxeH2w0PL7r9fkFN7w81v38zLR152q/YOBHaHHW1fB9kJ45AlIQwa\nOi2dpKT4USYZ9cRHJHglEVOiVbSaxo48egZMJPghLOSySELC+0STA/6USf/93/A//wO//72QEZOb\nK9Rld40QTu3ePT6LmwtKuZKYVPFkktPppK2njRRFmldVkgtJESraTOKeuiPJpNHKpJMnhf8fnZtk\nGTSRFC1emeQIsXjMTGprg+TsLuIj48e8iCQrkpFGaf3mBam1WuLC/JNJBQkFDMj0OMK7KC0lKOmt\nWGh7jMilcUiDvFNmxGQM5fhMhM0Nq2dlkivMf88eKIgfJpPWnVjHjcU3IguR8corwgAqfESx2U03\nnbO65Yw/hPuo5iglyhKPSpr16+Htt+Ef/xBIrLw8OHPGcwObJ+h6dVgNSWPCt10oKRHO8axY99yk\nM/omMmPGESjnAy5lUiBkUqO+jexEz4zYk7fex377X6mvd3L2LFgSd7N6uvi8JBeW5S3jQOuBITVa\nsFAqlIREi1MmWQYsSAbDyEgN8/h5SYkEiWlso5vTCYaQGq6aIZ5MAnho9kP834H/42tfE/JjRs4q\nj8ar7zcjlRspSfY+ulqSswRZrJa/vHscg0H8cTT31TAn3/exz56UjT1Kjcnk/WX+cOtxBttK/eb3\n3XRVJvOj17D6mV+Imtm3O+x8cvoTqj+4hptv9r++C1+bPpMWh3hlkqkpx6PNDYRGt/6WooBCuPe1\n7KMkuYTdn8V4tLi5UFEmI3owm9OG0z73d6TjCANny1myZHjZ/fcLZNLC9KWc7Dw5xk5+qPUwHUem\ni2p6VUWpiJRF8P72sfeyd9+Fv2zdijKvjXtnftP/zkZhmmoaP73sp7xsup3/eXyAP/wBpDO9B2+P\nRIg0hMuyLqPomu3/0la3XWd3IZFIWJg1fL88eVJ4Lk6ZcmGPJSMmA4tUvM1N16ujT+ddmZSRAeHm\nyRxrE0cmHddU4+yYEpRb4bZpt7llTonFFXlXcKzjmMd8z0HHIE/ufpIlry4hOjyaL9q+CCiEW63r\nIFnu5cF/DrevVmG3RFOjbeDVyt2kMYuwEM/PotGoSBEa3Vxkkt0O27aBJHsP8zODGyAUJxXjSKzm\n+HHxCqxA4HA6sA72EesvfRvhHhDijKBN5z3A/fOak5Smen8+SiQSnrrqKcIVfby3x8fDdhRqdbVM\nSpjE4cPiw7cB5GGRhA7G8EW1+EmTr8ikwLFkyZIvB5k0c+ZM6uvrUavV2Gw2/vnPf7JixQq3dVas\nWMFrr70GwL59+4iLi0OlUona1htCpaHMTJvJvpZ9/OY3gvonmNT8fns/RruGstyJGWyMtrr5QlV7\nFe/VvMfHpz8OOoS7raeNaKmSnMwgq8jOQRU1rEzyph7p6xMsbsoo737AzAQVBlvHGDm12dZNQpTv\nGfJIWSShkX30inS6mazeyaSdO+HgQcFauGyZMMvw8cfCw6ugAL77XWEgu2fP+MK3XVAqlCiU4smk\nHlsPEomEjz+KJjradzikKlp8ZpKLTNJo3Mmk1FShpa+z0z03adAxiM3ZS1KM/9kNEJRJgyFmj9da\nWxskZenG5CWBQLY5Iv2TSS0GLUq5fzJJKpFSkVrOw/97hN/9TgiTvvtufMp4g4XObCRaFnzgQnpM\nOm09bTicjnGTSSarCUefZzIJhsmkkTY3l8XN4RAUet8a9Z64aJFwTAWhS9mu3u6xUUwsvFncTp2C\nBx8UssFcduLcXCFPLitGXKObrleHudO7MmnKFOH3ZI4ip9p6z1KoFOntCRCpUam09bQN3TfFqCrb\nze0UeXnLv3bqPJLiZTzwq51s/cyKQ3WYeZlzAz6uZXnLKEgoYHnh8oC3HQmlXIlTIY5M6uo14OyL\nJznZ8+cZGYApm+PN7n/rhqZeHPIOZhfmBHRsN025iZPak9QbTnHffd7VSRYLVDZuZ2nuEp+z7VKJ\nlLsqbifzutf505/EHYOuV8fA4CDzSr38o88hNjKaECLYf9y7P2BL1bH/z955B7ZRHmz8p21ZlizL\nlrct2Ynt2HGGQ0ISsgkroYxCaApltQVCC5S2tKXAB7SFsqGMFAot0JSyShltmIXsBZnOcDwyvKdk\nS/KQZdmWvj8OecQaJ48MyPNfdKfTyTndve/zPgNDzyRR2S7v3fZ7moz/5nd/C1xp78O26m3ovZks\nOCMxrLrzpdOm0q0vorw6dCDVYWsFrgZTwNzGyZOh9Wgu++rFk0kD85LOC+K4mToVpLbQqo29DXup\n3jFlEJk0aZJwH/r8UxXnjTuPD8v6MxMcLgcN7U3kJ2UNyacLeC4JBaw9uGfQ5HH/frhphQfD937L\nI+f+MSzL6kDcNvM29BF66rMfYN2Oeva1ref7+eLy0BaZF4FZyE0KNbHdUFhJzD2TmPzIhfzf//7I\n2vK1tLuHmcFwHPHX3X/lxmk3Dlro9KmSwmk0Gw2k6FKw9dZSVS2ORWhqb8ZtjwsYtSGRwOysHA7b\nykK6PDq7O6lprSY/Zfxx/d4R8gjOH38+q0tXD3r9SMsRFq5ayIeHPmT7Ddv52Zk/41DLobByk2od\nDaTqE4LuYzaDrn0Gb2zYwfryjcxLD21x86EgsQCHejebNgnq7i+/FI63376FOWnDmyDkGfOocxcj\nl4+sdCUQOrs7UUgi0GnFTeFV6Khv8d+cU1sLNkURc7KCS9kkEglnpSxkQ+UG0edZ1lxGsioHnU6I\nfQkH2l4TOw+Js0a3dbXR2NHIeMPIhSGnMTyMiEySy+WsXLmS888/n7y8PJYvX05ubi4vvvgiL34t\nF1q6dCmZmZmMHz+eFStW8Pzzzwd9r1jMTp3NtuptTJ4sPDAefTT88y+3laN2m5iQNQKP2AAcG8Id\nDA9tfojbzryNTZWbmDXLy7Zt4iYjA1HTWkOUZ2RNbtCvTApmc2toAEOK//BtH5K0CUQmNAwiVTwe\n6PQ6MIZQv6jlgjJJbIWtw+Xf5ubxwB13wMMPM0gW67O7HTggSNzPPFNYMRwtZZIqRjyZVNdWR3KU\noEr6/e+DD3bSYhJENaFBYGWSRNKvTjJF96sDWrtaUXq1xOjF3QailFF0S/zb3GprISbZ//Vh1Bjp\nkjdRXx98INTYZiFRJ27GU5BYwJ76PVx0kfC99HpBnfLPf47uSpDNaUevHj6ZFCGPQKfSYemwjAqZ\n1NOuD/hQ9oX5+2xuxZZiLE4Lc9PnsnatQOQcu8oulwu2t62fpmJQG9jfOHxd9u6GoWRSa6tgpXvs\nscErU1qtEDofKw/d6Nbj6cHhcmCrjwmoTNLphO+nl/STSXaXnV6Phxzz2KSv+pRJKpXw+aGyBDo7\noZ06Jpr8k0kSiYQ7Ft3IVvdLPPn6bpJUWWhV/i3FwZCsTab01lLUiiC+ABGI18TTrRBnc6tssiF1\n6wep3gZCIoFYmZnthyoGvf7J9jKiusYjlwUPIz4WSpmSG6fdyPM7nueGGwT1qT/F5Mcfg2HaOs7P\nDmxx8+GaKddgSXqdZ1f2isowLLGWIGmewNSpoWdtOo+ZrcUVAbdvO7pfdNB6vDaW+2f+iYf230hT\nc3CP/8eHPkZ6dAk/+EHQ3YZAo4xE2z2e9zaFDv04bK3AHGMOqN5UKiFLn8vuKvFk0rqKdUwzLKS0\nNHim4ZQp0FGVTWmQRremjiY6ezrZ/kU6C47J5PUFcV+Sc8kgq1thQyHx3knMmin+upwzfiqd+j0c\nPSr8u7kZLr0Ulj/wNtFRioCta2IglUh59ZJXeWnXSzx39FaW5S4jSiluEWhRxiIOtK+nuxsOBslU\nX78ezn/ql0yQLUFTdgOPP2dn2fP3EvdIAlNfmMYtH93C6/teH2STDxder5eDloODchtHClunjf+W\n/pdrp1w76PUTYXEDYZykkiupahIncaxpsaJXxgVVP88/MwZJbwT17cGZibLmMmKl45iUN7IF5uHg\n0px+q5vX6+UvO//CzL/N5LIJl7HuunVkxGQIC13N4ZFJ1s5GMuODK5MApifP4IMd26mRbeSqOeLJ\npGlJ0yhq2UNyshAD8OmncMESL1urtzI7bXiBqrlxuRy0HmTSpLEJ4W53t6OSRA1ptg2ECKmWBlub\n321r1kBMThH5QZS7Plx+xgLqlRto83+oIShtLkXZFl5ekg9GVToHasSRSQeaDpBnzEMmDW8ccRqj\nhxGRSQBLliyhtLSUw4cPc9dddwGwYsUKVqxY0bfPypUrOXz4MHv37mXagKvK33vFwpebBPCHPwhW\nN7GyUh+O2I4gsY8bcZObD/NN89lavTVkoGyxpZgNFRt4ePHDSCVS2pVHiIsTVtbDQbWjGmVn2oia\n3ECYNAhtbt6AZFJ9PUQn+g/f9iFBk4AmvnGQV7y1FRRRrehDZCapFWqk4ZBJAZRJb7wBUqkQsOkP\nyckC0VRRIVhvsrPFfV4wxEXGIdWFRybFKJJpbw++6gpgjo+jzWMVpRhp6WxBIzUglwsT9YHw5SaZ\n9CYqHBXA14HOnmjRTScahQY3gcmkqHj/yqRIRSRSiYyqhuAztBaXlfQ4ccsXZ6WdxTNfPcMjmx/B\n7qnm6afhv/+FJ54QlF6+Af1I4eiyYxgBmQT9uUkm0wgDuF0OuloDK5N8Yf5JKoFMevPAmyyfuByZ\nVMYrrwgKLn/os7pljMzqdqwyyesVPnPhQv+fnZkJKlf6EOvTsbB12tBH6GlqkAVUJoFAJsra0qh2\nCDegKkcVkd3pjMscmyXaxKhEGtsb8Xg9okK4Dx8GlbGO1OjAX+KGGdcgyf6IEu9q5pmGL5sMN/PC\nH4yRRlwyccqkigY7Kk/wYKo0nYmiYwaHm0tKSIkIz+Lmw4ozVvD6/teJim3lnHPgtdeG7vPOO+BO\nXs9C88KQx8sz5pEek8zEC9eGzGEC2FlRApYJokKtEyPM7K2sCLj9SPs+zpsSPP9mIO65ZDnJmnQu\nfvSxoPutLvmExi1LECn6HoRxkdP5/GBwq5vX66XeWUV+avA/wpycXI62FovKz+zs7mRX3S66Ds1l\n3jyBjAqExERQtOawpyqwMmlvw17GR00lLlZCyjFt58uWwe7dkCtfyvqK9XS4hQHI7vrdyC3TROUl\n+TAtqQD9hD18/nl/2cAll7n5zH0vj5zziOiM0UBI0ibx0kUv8V7xe9x4xo2h3/A1JidMxuK0cPal\ndXwQICP5b3+DS3/1PwwT97D23t+z7ZXv0vTPx/lT/hbmbW3h8DPPs+3jcbyw7gOmvDCFXXW7hvUd\nntr2FHNemUPc43Fc8tYlPL/jeY60BLcohsLr+1/ngvEXDBp72GwCMbAoNIc8JkiLTqXZXUu3CM6s\nodUaVPEPAqEqE6HAO9B0gMiO4YVvjxRLs5aysXIjJdYSlry+hJf3vMymH27iF7N/0fc8yozJpKa1\nBvO4btFkkr2ngQlpocmk5XPP5EDbBkjcy9nZ4hW9qbpUejw9zDi7nvXr4ZNPIH/+ITRKDam6ENXC\nAZBnzKPYUtw37h5tdHR3oEAjmkyKlGmxOPwzQGvXQk9MUVAbuA+Lx89HYt7E5i3ilA9lzWW4anLC\nykvyIV1n4ohV3Orr6fDtE4+RjzhPEGalzuKrmq/o9fSSmir43++7L7xjlFhLcdWOHzUyKUYdQ05s\nDttrg6dpP7LlEX4282dolBrmmeaxqXJTn6ogHFS3VuOxj1yZFKmIRCFTEBXbFpRM0hiDK5MSohJQ\nGhoHkXp2Oyh1wcOyQVAmSZUjUyY5nXDXXfDUU4TMuImKEipFR0MKbIw04lWHRyZFuJOZODH056ck\nKlF4tINChQOhpbMFRY9hkCrJB99Dzaw3903eHS4H8m69eDJJqcHt8Z+ZVFsLEYbA10e03EilNXil\ndWuPhcxEcWTS8onLeePyNyi3lTP1xaksWrWIA4pXWLNZmFieeebIstR8aOu2Y9SODpmk1wvKueFY\nckFQ2rhsgcmkiAhhpb78gJEeTw8v73mZK/OvxGYTVmkDBfAuWgRlZTBFdzZrK4ZHJrl6XBxqPkR+\nfP8o9vHHBYL/mWf8vyczE7CbqGoNPmCwOgWSsr6egMokEK7xrqb0vuNVOaqQtZnGpMkNBNWZVqWl\n2dksKjeptBSkOiF4PxAMagPfnXgRsnlPctGU8POSRhNGjZF2j4WWltBNUFUWG2pJcDJpQqKJClvF\noNf2N5SQFz88MilFl8LizMW8tvc1fvpTeP75wapEpxM+2VqJRNlBnlFccMo1k68hev4/eOyx0ItT\n2w6VkKyaIOoZMs5g5rDFP2nq7HLTrjzM9xeLD3eRSCSsvvkFtkuf5t0N/lsYa1trKW+p5uJpM4cs\nLojBHPN09ll3BN2nqaMJuUdDfnZwlczCGUZ6e2Q0doR+SG6r2cakhEls/CIqaF6SDzlx2ewPkidT\n2FCIpm2wxc2HiAi47jp4e1UMM1Jm8MXRLwAhfNt2UFyTmw8FiQU4dXv44gv49a+/zoZb9jfGGcZx\ndoafOrph4OKci9l7815mJM8Q/R6pRMoC0wKSZg3NTertFZTcjz7hxnDVz3jx0mf6FI3R0cLf5vNP\nVRzdOIsf5/0S3nkH6cd/4bK3r8DWGUa4GLClaguPbX2MPSv2cPi2wyyfuJyvar9i7qtzGf/seG75\n6Bb+W/rfsGx1Xq+3z+I2EJ99Jli4g4U2jyVSdClEp9eIytKzOptJjg6uyJ42DTprcthfH/g6P2o7\nyl1r7kJ56HvDCt8eKaIjojkr7SymvTiNOWlz2PqjrUPKOJQyJSm6FCKTy0WRST2eHrokNvLMoRXr\nV8w5AxL2kiybElZotkQioSCpgORpe3j7bThyBDrjtgw7LwkgOzabI7Yj5OX3hKVM+vF/fiwq1qLD\n3YHcK55M0iq1WP3Iibxe+Hy9k1ZqRVnEkrXJ6OQG3tssjiErbS6loWh4yqScxHRqO8Stvp7OSzrx\nOGXJpLjIOJK0SRRZhGThO+8UJkz79ol7f7u7nae3PYu68ruiJ9NiECo3qdxWzodlH3LrmbcCMC99\nHpuqNg0rhLvaUY2raeRkEgiqIqm2kcZG/zah+npQ6UOQSZoEJFGDySSbTVAmhWoVUivUoBhZZtJT\nTwkrOKORgxQOjBojPcrwyCRvWzJiXJ1JSaB0J4h6wNhcNiRd/q1AfcqkaFNfRo2jy4HELV6ZpJKp\n6PX2YGsdutxWWwsyrTWgcs2gMlJrD04mOSUWslPEkUm+sM0XL3qR2l/WctuZt7G6bDWZK9PYlbmc\nh/79IY8+3s3TT4s6XEB09I4CmaQVyCSJZGQh3I4uB+3NgckkEK79bdskjDeMRy1XMz15Om++KbQF\nBspkUCrhoougZfdCNlVuGtRIKRYHmg6QFZtFhFwIGFmzBv70J0HxFMj6lJkJnQ2hA7h9ZFJDAyGV\nSbaK/uNV2itxW9LJyAj764hGUpT4EO7SUuhW1QclkwBWTL+RXtzMTT/ON7JjEK+Jx+JsIiYmdB5Z\nbbONKHlwMumMTDONXYMHh9XOEs7KGh6ZBHDrjFtZuWMlCxZ48XiEuncfPvkE0hesY1HmQtGqkO/n\nf5+Njau54ZY2fvrT4JbZAw3FAZsLj0V+mpnajgq/2/6zpQSVM4PURJHhPF9jsimd7yfdxw/fu4me\n3qErxZ8e/hR13blcfdXwbPyXzJhOo2wnvUHKeyrsFahcpoBNbj6ceSZgzaXE6p/4Goh15etYaBLy\nksSQSWdm5lDZEdjmVthYSNuhqX7JJICbboK//x2WZva3uu2o2UN3dUFYC40ZMRl0S1v5z+dWPvwQ\n/vaPdh7a/CCPLH5E/EFEYHLC5LBVTgvNC2mMXMfhw/33qdZWweJcWAhXr3yG3MRxfCf7O37fHx8P\nt9wCmzfDdTOuQFV+Mdd9cJ3ojD1Lh4Ur372Sly9+GbPejFFj5KpJV7Hq0lXU/bKOd7/3Lia9iWe+\neoaclTmirXQ76nbQ7m5nUcZgCdKJsrj5kKpNRZcqrtHN3mUlLUSgmVoNScocNpf4J5OqHFUs/sdi\n7pzzW5rWXXFCyCSAJ897km0/3sa9C+712wwGkGXIoltXxqFDoSMJLB0WpF2xjMsIbV+KjtCRpp7A\nRZMWhNz3WBQkCg3BO3bA4sXwVd3WYeclgTCfSdGmEJN5RDSZ1NLZwquFr7K3MXTAdbu7HXmveJub\nLkJHS8fQVeBDh6A7uoSs2PGi89zOTFjA2qOhc5N6PD2U28op3TZ+WMqkKWYTLT0ilUlN+5honMzm\nzeF/zmmMDk5ZMgmE3KSt1QIDEx0N//d/AqkkBvetu4/8qAVMjBydFSMfQlVsP7blMVacsaKvPt1H\nJs2ZE74y6VDLIVorzSO2uYEwcbD3NBIZObjxzIe6OpDrmjGoA3T0Itg+elSDbW42G8gigzevgaBM\nQh6mzW2AMqm+Xpi8PjK64zZRMEYa6ZSGRyZ1NokjkxITQdIZ77cl41i0dLbg6fCvTJo4USCTUnVp\n1LTW0OvpFdrBXOLJJIlEglquwe7nP6m2Fohs9mtzA0iIiqepPTiZ1K2wkJ8RZkofgkLkstzLeH/5\n+xz92VEWmRfx9yMP4flpLo/++/Ow6759cPW48NBLvGFky5s+ZRKMkExyOWiz6IOSST5SOjs2m+/n\nfx+JRMIrrwwN3j4Wy5bBZ+/FkxadNqiRUiyOtbj99rdCFkmwe1NGRj/5E8z+YnVaMajjsNmChzhO\nnAg1xWl9ZFKFvQpnnUmUDWm4SNImUd8mjkzaX9qGROpFqww+ApyXPo/VV64mLXoUbuwjgDHSiMVp\nISEhdI1zg8NGtCr4jWTuZBMd8n4yyW6HTk0J8ycOn0yab5qPXCpnXcVafvITQZ3kw7//DbrJ61lo\nWij6ePGaeOab5jPuO+9x+LBgkwuEalcJs0I0uflwxjgTDkmFX9vL6u37SFWKt3IbZyYAACAASURB\nVLgNxKpbbsErdfPD5/42ZNs7ez/GXbRUFCHjD/OyJ+M1lFFYFLhitdJRSW+zOSSZNG4cSKwT2HY4\nuJe/3d3Oa/teY2rkd+juFtfEddbkBNy9XQHVu3sb9nJ489QheUk+ZGcLmYrK8kv4sOxD2t3tHLUd\nYVbmxLCUy1KJlILkqSz5YSEffACrSp9mgXkBBUkF4g8yRlhkXsSGynUsWSLYwSsqhIWHlBR4+Z1a\nntv9KE+f/7QokuqBB0DyxWOUVlt5fMvjIff3eD1c8/41XJl/pV+ySiKRMCVxCr+Z8xvWXLuGW2fc\nyrJ/LaOrJ3T4+193/ZUbCm4YZOvt7RVyb04omaRLRR1fG1Ld6PV6afdYyUgIbnMDmJqaw77aoWRS\nbWstZ686m9tn3s5laT9FKiVgEcJYY2L8RKYkTgm6T5Yhi8buQ8hkoXMG69sa8LQmin6G/3rhT7hh\ndhi1lV+jILGAsrbdTJwoLLxtrRl+k5sPucZcemIOUlJCUELeh42VG/HipdxWHnLfju4OJD0adMHX\n6PugV2txuIYqk9auhey5RUw0imcfLztjAZVsxOUKvl+lvZK4iEQi5OqgivJAKMgw4Y6sDDkn9Hq9\n7GvcR0/tpKDt6acxtjilyaSLsi/i2a+e7ZPFrlghMK1ffBH8fbvqdvH6/tdZIn1y1CxuPsxLn8eO\n2h10dg8dgNW11fF20dv8YtYv+l6bGD+RZmczhvQGLJbQg3YfOrs72Vy1GW/5QgyB+R3RSIhKCBrC\nXV8PXnWIzKSoBDplQ21ukgiRyqRwyCTXYILq3nvhxz9mzCwtweCzg4RDJtmqkkIOwEFQYvQ6EkST\nST2t/smk2FghR8naEEGsOpb69nocLge9TvFkEgi5Sa0u/2RSjyKwci1Zb6TZFfg7tLR2grQHU5K4\nUNFAiI2M5ebpN7P1x1t5/qJnkX/3Ju7dexW/eyJATWEQOFwOlB49hpiReSFTdanUtPWTScPJTfJ6\nvTi6HNgbooMSKrNnw7Zt8Pg5T/Lbub9l715obBRaDYPh3HOFoMiZ8cPLTdpdv5tpiQKZ1NIiqHCW\nLAn+nsxMqD6iRSVT0dwZWPpidVrREEdcnGAdCYTcXCjfm0JjeyM9nh5K6ivRS9KDZq6MFOEok4qq\n6zBGJIWcsEkkkoAKgeMJo8aIpcNCfDwh723WdjuxkcGVSdOyEvEo7dQ0CvLTPYUeiC0jLz5Ap7wI\nSCSSPnXStdcK9paGBiHs/ONPvNTI1w1RLYTCzdNv5qEtv+ex5xu4/Xb/iyuuHhftkloWTRUne8uO\nNyOLraDczzxhR+V+pqcOT6KvkMt49bt/5fWGezhQ2X8Bdvd2s6FqDZdPOR/FMLN4I+QRxPTk8t6W\nwCvlR1sq6Kg1hxxHSSRgjsplS2lwMunuNXez0LyQ5sKzOPdccTb0qVMlyOw5lPkJ4Xb1uDjcfASj\nJHdIXtJA3HwzvPuymSRtEn/d9VdienOYNSOApDLYuSRMZd4Ve0jIsPL0l0/zwKIHwj7GWGBi/EQc\nXQ7mLK3m+eeFRYcbbhAI/7vX/ZoVZ6wgK1bcYFithr+/rMT20ts8ufVPrK9YH3T/hzc9TEd3Bw+e\n/aCo4/927m9J0ibxy89+GXS/tq42/l38b66fev2g17dvFxbhRkOxP1yk6FKQ6kMrk5zdTrxeCeaU\n0LashZNyqOkcTCY1tDew+B+LuXHajfx81s8pKkJUfMKJhK9tVkwId0ltA/KuBNE23dtm3ua3UTYU\npiVNY0/9Ht56Cy5cZqPKUTVi21ReXB4VHcUkJAjWuVBYX7GeuMg4jtpCB352uDuQdItXJhk0Wtr8\nkElr1oA+62BYZNL5OQuQmDfy1VfBZWWlzaXESYaXlwRgjklHoq8K+berclQRpYxi25q4kGPO0xg7\nnNJk0mW5lzEzdSY3rb4Jr9eLUimEK//mN4Gb0Xo8Pdz04U38IP5RnnzAyNmjK0xCq9IyKWES22q2\nDdn25NYnuXbKtRg1/bNBqUTKnPQ5bKne1DcRFIP1FevJ0k7BFG8YlQdHgibh6xDuwGRSjzK4zS1e\nE09rbxPVNf03GZsNvEpxmUke2fCUSXv3wurVcPfd4t472jBGGrF3WwJaBI9FfVs9daXibW5dLfE0\niLC5tXS24LIZAq4CDAzhrrRXCu1gHeGRSVpVFK2dg/+TvF5hIu2S+g/gBkg1COqtrgCLjQfKLci6\njEilozcKWpq1lNKfFXHdxSYeaJ7EskdeEC3LByGjSNGrHzFZO1CZZDINT5nk7HaikCqwNimCKpMS\nEyEmBtrqkolSRvHqq3D99cFJGBCsaEuXgqw6uLIyEPY07Olbgd+wQZishCJxMjOFoPT06OBWN6vT\nirI3LqjFDYQctESjAoMqnrq2Oo42V5EWPYayJL4mk9rqQwZwe71wtKmetJjgFreTCbHqWOwuO3Hx\nPSEXOVqcNoza4GSSTCpF1ZXOhkLh/3rd7irUxIpupQqEH0z+ARsrN+KgkiuugJdfFpQJeWeV04Ob\nnNjwyKqlWUu5fur13Fe6lEuuaOOOO4buU2I5BLZMpk4Wx9SYok14dBUUFw9+QHg8UOHaxwXThqdM\nAlg2fxIzuJmLnr+t77XNVVugOYsbrwpeqR0KE6Kns74scAj3gZoKdB6TqMneGaZcipoCk0lbqrbw\n74P/5qnznxJtcQPIyYGehmz2+lFtFDUVESvJ5uz5wYmhSy4RCPA5sZfw6JZHkVrCy0vyoSCpgD0N\ne3ho00Msn7j8pKmqlkqkLDQvRDZuHT09wm/k9tthY+UGNldt5u554Q2eZs+G676bRm7JP7jq3auo\nb/MftrmufB0rd6zkrcvfCmh7OhYSiYS/X/J3Pj/6Of/Y+4+A+7154E0WmReRpB38YDjRFjf4OtRZ\nXRuSTGrubEbujgtKdPpw8bxMOmS1uLqFQZSlw8I5/ziHqyZdxW3T7uS11wRF8AzxcVonBFmGMMik\n6kZ0kmHIWsI9p9gsLE4LqePtFFq3MSN5hmjbVyDkGnM5aDlIfr64Rrd15evp2f0D9tWEJpPa3e3g\nFp+ZFKfT0t49mEzyeGDdOnBHiwvf9iE9Op1IhZp3Nwa3LJc1lyF3DC8vCYTxh0Texf7S4NVxvryk\nTz4JvYB5GmOHU5pMkkgk/HnpnymyFPHCTqF+ZdkyYRLzxhv+3/PY+pXUHY3mvfuv49VXhYDB0cbZ\n5rNZVz54QmZ1Wnm18FV+ddavhuw/P31+X26SWKvbx4c+ZrL6wlGxuIFABPmUSQ1+RBz19dAlCa5M\nipBHoJZHUtnYH8xos0GvXJwyySMNIzPJ5UCn0uH1wi9/Cfffz6hmX4WDuMg4bK4WkHhEVUpX2+uI\n6E4OmGEzEFFRIHEmUGMTp0xqt/hXJsHQ3CSHy4G7NTwyKUqloVfagXtAYWFLi0BG2N2Br494jZHI\nuMDqreIqCxG94VvcQiFSEcmfL3uYz65cx0fVr5Px4FnsbQjtSQeBTJK69cQEnyOHxGjY3BxdDvQR\neux2Qp6P7z7S1QWvvy6QSWJw+eVQ8ukCUY2UA9Hd282BpgNMSRDk7WvXCrkDoZCaChYLpGqDN7pZ\nnVZkrjhRUumJE0EvEcipuo5KsuPHdnk6SZtEXVtdSGVSYyNI9XWYDKcOmSSTyohRxxCd2BySTHJ0\n2UjUh/6hGKQmvioV/q+3HSohPXL4FjcfopRRXDv5Wv6y8y/89KdC8P5bb8H4c4QWt+G0aN07/17O\nTDmTsoLLWLPePUTtvKGoBHXHBNE2g+iIaORSJbtLBivwDhwA4vezMHdkq+Crf3MPNe4iHvlAqOZe\ntfUTVNVLmD28Zus+LMiaTrEjMJlU2liBSW8WdaxzpuRS3+2fTHL1uLhh9Q08t+Q5dAoD69aFVlP6\nIJdDvCyHraVDlUmFDYXILYHzknxQKARls+3LS2jsaMRWFF6Tmw8FiQWsr1jPqr2ruHfBveEfYAyx\nyLyILxvXcfCgMOnq8fRw6ye38tT5T6FRhp/Q/oc/QOPW85inXsH33/3+kKy9hvYGrn7/alZduooU\nnQi2ZACiI6J5b/l73PG/OyhsKPS7j7/gbTg5yKQUbQod8pqQNjer0wrOOJJFPBbGZyiQtZvYVHSY\nls4Wzn3tXGZGX0L92/eSlgZvvikU0Pzxj6PzHcYKWbFZHGoWRyYdbmggNmJkhLgYSCVSJidMprCh\nkK3VI8tL8iHPmEextZhJk0I3urV0tlBmOYp9yxUcsohQJnV34OkKg0zS6uiWtQ4at+/dC3FxcKQt\nPJsbwBlxC/j8UPDcpFJrKc6q4SuTJBIJ0aSz60hwKf++xn2M106mtBTmntjOkm81TmkyCYTJ4r+v\n+Df3r7+f7bXbkUiEFqF77mGIp/OVd6u49/MHWdz5Fw7sl4ia8AwHizIWDWlFeubLZ1iWt8xv1eQ8\n0zw2Vm4UHcLt9Xr56NBHpHYuHTUpb4ImgcaOxqA2tw5vS1BlEkCiNoGmjsY+j7DdDt0ycZlJvdIw\nlUmqaD76SDi3m24S976xgEKmIEoZhTHNHtIO4vV6qe+oIzc1hMxiAPSKeCqt4pRJjsbAZJIvN8ms\nN1Nhr6DF6cDTGR1W44lGqUET0zGokayuTshe8AUl+4Mx0ogqxhKwLfBIvQWtLHRjx3BxzuR8Su7c\niHPzDcx58Vx+9b9fhWyNETKlRk+Z5PV6h00m2V12ohTRREcLk6dg8N1HVq8WCMRx48R9xgUXQOG2\nGMZF5/BVzVeiz63EWkKaLg2tShjZrFmDKMWnTCaQa3pMwZVJnVa8HaGVSSBc44rONI60HKG110Je\n2tiSN2JtbiUlEGeuIylK/O/+ZIAx0og6CAnsQ3uvjRRDaFY6TWviQE0FAEWNJUxKHDmZBPDTGT/l\nlcJXmJDvIiUF3n0XOhPXscg8vG5w30KVTq1h3B0/5KYVnkELHdvKSkhRhXfu8Uoze8oHD4w/XteC\nJKIV0wgVdPGGCO7Kf4n7vrwNa7udj0o/4dKJS0esWr5k+nTskTsDPper2yrJSzaLOtaFc9Ppktqw\ndw4Ngn1w44PkGfO4PO9ytm8XFJyBnmP+EKjRbU9DIdaiKQHzkgbixhvhf6umkahOx+CaHtROHAh5\nxjyaO5v5yfSfkBg19oqKcLDIvGiQJe35Hc+ToEng8tzLh3U8tRpefRU2PHAvMo+ae9bc07et19PL\nle9eyQ0FN3DeuPP6Xvd4hOZQMQru/Ph8nr3gWS7/1+VDmuMKGwpp6mgadGwQGhirqhgxiTpSpOpS\nsfeGtrlZnVZ62mJFkUkSCRglE3ht3XYKnjqfus3n8MU9D5KcJKGwED7+WFgQGktb92jArDfT0N5A\neqaLQ4eC71vd0kiS9vj8jgoSC9hTv4et1SPPSwLIjRMKBybme0Iqk9Ye2QjVZzE1LYd6l4jMJHcH\nns4wArhVWiJ0bYMs22vXwryzndS31TPOIHKQ+DW+W7CAw90b/GYA+lDWXEbd/uErkwASIkwU1wUf\nMO9r2kdP7WQWLTr5r/1vMk55MgkEpvvF77zI9975Hs3OZubNg4ICWLlS2N7cDD+42sttn9zKdRNu\n55/PZBM1MmV9UJyVJqgffJNVh8vBCztf4M45/tPBpyVN44jtCDlT7OzZQ0ArkA8l1hK6Pd301k8a\nNTJpoDLp2Am/2y0ojBxBlCc+JEYloE1u7Jt82GzQhThlUg/iyCSv10tbVxtqqY5f/UogD0NNsMca\nxkgjMamhJ112lx2ZV0V+jviVwLiIBOocwaUBvZ5e2t3ttNRFh7a5RQs2N0ubg0hpdFgTDo1Cgzq6\ng9YB84HaWoFManYGtkEaNUZkOotf1RtApcVKjGr0lUkDYUqXsvtvNxD3zgE+317F9R9cH3R/u8uO\nxzlyZZJGqUEtV9PS2TJ8ZZLLgVoSvMnNBx+ZJCZ4eyAiI+G88yChMzyr28Dw7fp6Qdk4daq492Zm\ngsqV3tcw6A9WpxW3XZwyKT8feqzpbKvZRkR3ElnjxvbGkKQVyKT4eOE5E2hwVVoKmsS6kE1uJxvi\nNfEoYppCKpM6vXbS40P/UHISzRxtrqSrC5o8JczOHh0yKSs2i2lJ0/hX0b/45S/hvPO9fNkwfDIJ\nBGXWm5e/iTuyAtV3fsN99/VvO9BYTG58eOdu1pspaagY9Nqnu/djVk8alnrqWPz+R/Mx2i9k0TPX\n0dJdxx1XjtzvUpA6EUlMOZu3DyXevV4vzT0VTMsUR4TFG6UoW3P43+7BpE9hQyEv7XqJlUuEAdvn\nnwv3oXAwIzOHyvahyqRtR/cS0zVVlI3IZIJZMyWM+3wP8zKH4XFDWFh66Tsv8Zs5vxnW+8cSE+Im\n0NndSYW9gsb2Rh7Y+ADPLnl2RNfe7NlwzdVStJ//k7eK3uI/JUIb3u/W/w6pRMp9C/p/NIcPw6JF\nMHMmTJggRFKEUu5cOelKLsq+iKvfv3qQRf2vu/7Kj6b+CJl0sH/78cfh6qtP/HjQoDbg9rqoqg8+\noK1taYaOOKKDr7X2YUJcDq+1/ARV02z+ee3jlB+VcO+9wYsuTjbIpXJMehPqlCMhlUkNHQ2Y444f\nmbS9bjs76nYwK3XWiI+nVWkxqA3EZlaFVCa99L/1pHQv5KpLY+nx9AwhT49Fu7udnk7xyiStUosy\nqm1QK+uaNZB1VjFZsVlhW/qW5i0A00Z27w7MCh9sKkVuzxF17w2EjBgTR1tCK5Oqtk8+bXE7wfhG\nkEkg5Cddnns517x/DR6vh0cegUcfhVWrhKYOe9J7pE05zF+uFln3NgJEKiI5I/kMNlcJPYXP73ie\nC8ZfEJD9VcqUzEiewT7bVnJyYHeIMqWPD33MhVkXcuSwZNQeIglRgjLJX2ZSYyMY473YXLagbW6+\n48Sk9De6Ndu66cVNpCJ4wKBKpsIj6aatI3TtQUd3Byq5ilf+piAtTch6OdEwaoxoE0KTSXVtgsVN\nTPi2D4naeBo7gh/Y7rITHRFNY4M04IpuXh4UF0OqTrC5Nbc7iJKLHMV8DY1Sgzq6fZAyqbYWklKE\ndrgYtf8JZbwmHo86sDKpzm7BGDm2ZBIIg65Nn8TT9s9X+ax0A4dbAo9m7C473e0jVyZBvzopJUUg\nW4Kt6PiDo8tBBHpRq+X5+cJv+MsvhZXKcLBsGTTvDC+Ee0/DHgoShbykdetg4cLQGU0+ZGaC1x5C\nmeS00tkiXpnkqE5nU9UmpO3pYx7In6xNpr6tHrlcaJoL9PsvLQV5TP0pRyYZNUakUaHva26Zjcyk\n0GRSQYaJxq5KiopAlTp6yiRACOLevpIrroCnVx3Bi3fEmTVqhZrVV67GM+5jXtz3FDu/dnzVuEqY\nPV5E6N0A5CWZqG6r6FNleL2wq3YfM0zDz0saCIkE3v/poxTZd6CznMekiSJ/hEGglCkxevP57/ah\nViOr0wq9KgryRHr9gCRFLp/v6be69Xh6+NF/fsSj5zyKXp7E738Pzz0HV4RZyLR4ahZ26eFBhIPX\n6+Vgy17Onhi8XWogbr4ZtnxhYNbM4RMs1029LuTi2YmARCJhoXkh68rXcdeau7huynXkGUXU5YXA\nH/4ApXviuCnmbW5cfSMv7HiBVwpf4Y3L3kAmldHbC089JRBPl10mNHitWiUUUUyZIhCHb7xBwIiD\nx899nNauVh7cKAR4O7udvFX0Fj8qGLxSUlEB//yn4Eo40ZBIJKTqUmjpqR1kLToWRxutaKRxohf0\n7lx2Pj+f9QtKn36G886TID1FZ3BZhix6dIdCkkkt7gbGJ469zQ2EvLP/lPyH9Oj0gOPYcJFnzKNL\nd5CqKqEUwh96e2FD5Xp+8d2FZGZKiHBlUG4Prk7q6O6guyMMMkmlRa7pJ5Pcbti8GaIywre4AWTG\nZKJSSnh/g/907HZ3Oy2dLUzPThuROnZCcjoNzsBjQx85/uVHOafJpBOMU/RW5B+PnPMIrV2tPLzp\nYSZMgO99T/APv/qmg71Jt/PXi19EKTs+OrhF5kWsK1+Hs9vJ0189zV1z7wq6/7z0eWyq3MScOaFz\nkz469BH5EUtZu3b0iJRgmUn19RCf5kAtV4f8+yVoEohK7G90s7a3EinTiWowkhNBmzNE3yT9TW5P\nPCGsbp0MzRVi7SB1bXXQJi5824c0QwItXcGlAS2dLcRExNDYGNgeoNUK22StJirsFdicDrTK8Mik\nKGUUqqiOIWRSbIodnUoXcIXDGGmkW9EUUJnU1GEhRT/2ZBIIhNKbqzQo9t7En758OuB+dpcdt2Pk\nyiToJ5MUCuH/IFTzl79zkfeKUybJZMLq7xVXCGqjcLB0KZT+by4763b6baT0h4HKJLEWNx8yM6Gz\nIXQAd1uDOGXShAlgPZLOQctB3E2mMSeTfDY3r9cbNIS7tBR61Kemzc0TEVyZ1NEBXpWNFIM4Mskd\nWcHateCJKWFC3OiRSReMv4Dmzma2125nQ6WgShoNxY9BbeDz6z5FOf9PXHb/m3S5PbQqSjlvWnjB\n3rlJZoiu6PtblpYC8fuYM35keUkDceZkPbcZ/8OvZ41eG8WkuOlsKR+am1RhrwC7OayFkTzjBHZV\n9ZNJT259krjIOAxV1/fZsHfvJuy8olnTovA6DVS09PuKKuwVSLp0nD9PRDjh11i6VAj0nj8/vM8/\nVbDIvIhntz/LZ0c+G6QaGgnUavj73+G5O2fx82n3cusnt/LGZW+QEJVAcbGQY7J6tbC4cfvtwvNp\n1iyhSa6mRsiqeu01IUPvxhth167Bx1fIFPxr2b94cdeLfHLoE94peodZqbNIix68knr//XDrrRAf\nPypfa8RI1aViMNcELWaotlrRK8VfnxdkL+ZPFz48Kve1E4ksQxaNPYfo7fXflulDu7eRiebjo0ya\naJxIj6dnVPKSfMiNy6XMdpDx44WFXH/4+9st9OqOcuOFZ2A2A7bMkI1u7e52utrDsbnpkEb0k0nb\nt0NWFlQ6h0cmSSQSpsYs4NNi/7lJh5oPofeMZ/oZI6MYJqebaJdXBnTrHLQcJFWdTaJReULbG0/j\nG0YmKWQK3l72Nit3rGTN0TU8+ywcPAj/bb+bJeOXMM8077idy9kZZ7O2Yi1/3fVXzko7K2Ra/jzT\nvL4Q7mC5SQ6Xgx11O3j3scX83/+FlysQDL42N382t/p6MKSGtrj5jqOM6SeTmtsdaBXiCAulVE1r\nIPp+AHx5SbW1wsrWyYC4yDiUenFkkssSHpmUYYynzRP8wC2dLUQrDSiVwQmE/HywVwpKELvLjj5E\ny96x0Cg0KDVDbW66BGvQ68OoMeKUBFYmtXRZMA0npGKYOPNM0Jfdyj8L36DZ6b+W3touZCaFkykV\nCCMN4Xa4HMi6xZFJAE8+Cb//fZgniUA4Lp6nJUk6OWTlM4DH66GwobCvyW3t2vDJpJby0DY3e504\nZVJkJCRECJMMrz19WLkn4UCj1KCQKnB0OYLmJpWUQDunps2tW2kJSiY1NoJEbSNGHTozKSPGjMxQ\nyap/2fDKO0b17yGTyvjJ9J+wcvtK1lWMzOJ2LNKj01l/4yc0Fvycy/6wClx6pkwIT31i1ptRJ1dQ\n8nUJzoYNEGHaz6T40VEm+fDMb2Zw9w35o3a8xROmc6hjKJlUVFsJdrOo36UPc3JyOdoqzKpKraU8\nsvlx3O++xG9/K+Gll+Cdd4ZX6R4dDaq2HNYf6LfQ7a4vpKd2qqi8JB9kMoHQGknOx8mMRRmLKGwo\n5LFzHhtV9dSsWXDttbD7L7dy6LZDzEldwMMPC6TcddcJiwz+svvUali+HD75RGi8Gj9eyO47duKd\npE3i7WVvc/1/rueJbU8MCd4+cEBocPTXvHiikKpLJToteKNbnT1wzuQ3GVmxWRwO0ejm9YJb2UDB\n+ONDJqnkKibGT2R26ugFbuUZ8yi2FPdFTBwLrxce+MdGphjOQilXkJEBrrpMjtpCKJPcHXS1hWdz\nQ9XaRyb5xmlFlvCa3Abi4snzKe7c4Lc5vay5DKltZHlJABmGdJTGKsoD/Dn2Ne4jsu20xe1kwDeK\nTAJI0aXwz+/+k6vfv5qGjlp21G/jvZL3eOzcx47recxMmUmJtYRHtzzKPfNC625npc6isKGQM2a6\n2Lo1cEDhF0e/YLxyDtZ6DbfcMnrnq4/Q4+x2EmN0+SWTdAmB83AGIiEqAbQNfQ9Qm7MVrchBi0qq\nps0lgkxyOYiURRMTI7SwnAwwRhqRiLCDHLXU0WNLDsueaEqKwuP10uEO7L9v6WwhUhI4fNuH/Hw4\nWhJFpCKSms7DxESGTyYpNEOVSerY5qCDIo1Cg0TipabJ/3do67UwLun4kUkSCVy/LImUtkv5y86/\n+N2n0WFHI9OPivItVZdKdavwoxgWmdTlAJd4MmnSJEQpefxh2TKIKvkJ962/b5BtxB8OtxwmNjIW\ng9pAeblQehAOUZqZCfWHErG77H6VUO5eN85uJ03V0aInrRNThdmoUWE6LqrFJG0S9W2BQ7i7uqCm\n1ou16xS0uUUKJHBjY+BnUlWdC6S9Ia3MIDyfeyOaONC0H3PUhFFfYf9RwY9YXbaa/x35HwvNC0f1\n2JMS8nntonf4mJ8S1TVBtJXTB7PeDNEDyKSNHtrUB5iUMLpk0mhj6dTpuAw7h4wLdh2pwCAL7zd2\nwfRcWlXFNFk8nPPcDbj/dx8XzTOzd6/49rZASFRms6m4n0z6fH8hUe1TSB3aeRIUJzpvZyyRZcji\n/eXvc9Wkq0b92H/4AxQdkPDWC5nMnAnr18POnYJ1UIwdKyUF7rwTHnhAIKB6BpfDMTd9LnfPvRtb\np40LswbXtd1zD/z2t4huVzweSNGmEBEfPITb0tFMou5bSCYZsjj0NZkUKIS7rqkLlO2isvhGC69e\n8irfm/i9UTteblwuB60HmTQJvyHcH34Izvj1LJu+EBCaeqWtGRQ3BFcmtbo6kHs0ouc/WpUWr6I/\ngHvNGqFxt8hSNGyr68VTFuBJ30BR0dBtpc2ltFVmD7vJzQdTtAmiKwMSg1+ICAAAIABJREFUjvsa\n92ErOU0mnQz4xpFJAIszF3PrjFtZ/u/lrPhwBU+d99SoeWDFQiVXMSt1FpMSJjE9eXrI/aOUUeQZ\n86iXbkcuh6MB7iX/Kf6Iyi+W8txzozvokUgkxGviccstuN0MCsKurweNUbwyqTeiX5nk6HIQoxZH\nWETI1LSLIZO6HKi8gYOmTwSMGiOeiNBk0sGaOhI1yWENwJOTJSjcwXOTWjpbUHkMIf8mfSHcehNt\nvVZio8LPTJKph5JJiujgZKNEIiFGZaSmxTJkW3c3uOUWxicfPzIJ4Ac/gIb3f8mfd/yZrp6hOlpr\nux2tIrTaQgyOVSZVBs8UHAKHy4HHqRdNJo0E3/kOHH7vB3g9Ul7b+1rQfffU9+cl+Va7wrm2MzOh\n/Kh00N9nIHyh7o0NEtG/94IJsUh61KRFHx/dc6hGt8OHIX18GxKJpK/x7lSBUWPE5m5CJoP2AOWH\nFQ12FL0xooghuVSOTpoEmZ8zJWX0LG4+GNQGLs+9nEhFJJkxo+9x/N7M+dyW+A7nxl0f9ntNehNO\nZQXFJV68Xli7u5xYdSz6iNG5x4wV8uJzkUTXsG6bY9DrB+srSNeawzrWpOQsiK7EvPxZXF29lPzj\nFu64Y3RaeHJic9hf1x/CvfXIXqYli2wC+JZAIpFw6YRLx8QmFREh2N3+/GfBbvbpp0KoebhYsQL0\nenjkkaHbbp91O2W3laGQ9c+it26FwkL4yU+Gf+5jgVRdKjJ9bdCQ8RaXlRTDt49Myo7N5lBzcGXS\nnrImFO54pJLjN02dmjgVjVJ8OU4o9CuTvEPIJK8XHnwQIieuZ1HGQkAYOyVFZFLSGJxMsjvbUcvF\nt0hplVp6ZILNraNDsJIWzGynsb2RcTHhNbn5kBObgyKii/fXVQzZtremDCw5I7aeJWuTcSsbKT3k\nP2R0V80+mosmM3fuyD7nNEaObySZBHDXvLuIjogmRZfC9/O/f0LO4aGzH+L5pc+L3n++aT6bqjYG\ntLp5vB7e2/8xZ8VdyMKFo3eePsRr4mlyNg7JTaqrA5VevDKpUyoEcHu90O5uxaARt1wUIVfT4Ran\nTJL3nmRkUqQRtyI0mVRurcMcG546ITERJM4EmjoCe01aOluQd4tTJh048PUqOWDUhq9MkkYMDeCW\naELLtY0aIw2tQ8mk+nqQ6iwkao/voGrcOMiJySdJOpk39r8xZHuz045ONfpkkskUvjJJCAMXr0wa\nCfR6WDBfylLJM9y99m7autoC7juSvCQQ7ClKJSSp/VvdrE4rMao4VCrx+U/5EyV4a84kL8y2reEi\nSZtEXVtdQDKptBTS8k69vCQQngmWDgvx8YHDxSsbbagRv1iTGmVGmfcZk5PH5v/n7nl38+g5j45Z\nrsizt36Hd++/Juz36SP0yGVy9h+yUV4O7ph9FKSc3KokEAjAZOlUPto1uBmk0l5JToI5rGMpZUqS\nNSY4+//YeMfLpKWOPCTchxmZ2VS29yuTjnQUsqTgNJl0PDFzpjAe+OEPh59lKZHAyy/Ds88KJNGx\nGKiA9HoFRdLvfieQWScTUnQp9GqCK5Nae6yYjeIzk74pSItOo7mzmfRxHQHJpKKKBjTek2iQPwzE\nRsailCmJH1c/xOa2Zg3YXC20eI5yRlK/hCdDn0mlI7jNra2rA41CPOmlVWnplghk0pYtgo23yllM\ndmz2kEZEsZBIJORr5/PRgY1Dtu2vKyUvMXvEynCFTIFOmsi+iqHBY16vlz31e5mbNRmVamSfcxoj\nxzeWTJJKpHyw/AM+WP7BCQurm5EyI2CDmz/MSxdykwKFcK/esYdOm56/PDw8JjkUEqIS+kK4B0ra\n6+tBFiWSTNIk4OgVlEmdnUCEQ7SVSi1X09ElTpkkcZ9kZJLGSKckNJlU31ZHbmp4ZFJSEvQ44mls\nD65MojM0mZSTA0eOQGqUCbwSjNHiVzdAUCZJlP2ZSV1dYLdDtzz09ZGsi6e5q2mIx7qmBlBbj0ub\n27G4+mqILvoVT257Eu8xPh6Hy45BRA6MGIw4M6nLQZcjeswzgHz48Y9hzapZnJ1xNg9vfjjgfrsb\nBDLJ6xWUSYsXh/9ZmZkQjf9GN6vTilYmLnzbh4kTgb+vp8CcEf7JDANJUYLNLVAAd0kJxGeeehY3\nEEhyi1MgkwLlJtU029DIxP9OJqeb6DbuHNXw7YHIjMnkyklXjsmxR4o0nYni+go2bICUafuZnDB6\n4dtjiWmJ0/mqZnBuksVdwdQMc9jHWpg1g/sX3kuuMbw2vFBYPDUHm1RQJjV32HDSzBXnjHEC/2mM\nCdLS4IknhBymQOG7IKifrFa4Jnxud8yRqkvFKQ9OJjlpZnzyt0+ZJJVIhUawpMMByaSyukb0iuPT\n5DaWyDPm0aYqprUVbLb+1//4R1hy80bOSjtrkNIuL9mMxV1Frydws3V7VwdRYSiotEotLm8r1mZv\nn8XtoOXgsPOSfLgwfwH7WzcMssB7vV6qnGXMzgqvoCIQkjUmSuqHLjQ2tDfQ3S3h0nNOoongtxjf\nWDIJBFZTJT91KMu56XP5suZLzpzV41eZdOfLHzE7bmnYGQBi4QvhTkwcSiZ51SJtblEJNHc1Ulfv\npbkZImNa0SnFKZMilWqcIhqkHC4H3s6TjEyKNNLaG5pMsvXUUTA+vEllXBz0OBKoaw2sTLK5bHg6\nQtvcIiLAbAZ1lwmlV4chJrxbQJQyCq+i3+bW0CCEwLe4QiuTErRGVDGWIe0dlTXdeBRtx92KCkLj\n4853FiPxyvjsyGeDtrW67cRqRpdM8nq9wyaTnC3Hx+YGcNFFghXv2uRHeHHXi37bRbxeb58yqbhY\nUA6ZzeF/VmYmqFzpVNr9K5MiPOLCt32YMEHI6Mg4PlwSydrkoDa30lLQppx64dsgkORNHU0kJAQm\nkxrsdqKV4n+7mQYTXrxjRiadzMg2mrH2VPDpp6BI3Tfq4dtjhfMnTaeye2ffQoDX66VdXsFZeeH7\nmFZduoo75945ymcIcyaa6FU3UN3QyX+/2keEfTLpad/oIe43GtdcIzwbAhVJeDxw113CpPxkzLlK\n1aVi9wS2uXm9XrrlVnLSv33KJBByk3qiDwUkk8otDSRoTqJB/jCRG5dLsfXgoBDuLVuE8ZXXtH5I\ntl9WRgSq3lhq2wLXAHZ0t6NViV8IVslVSCVSrLauPgV5kWV4TW4Dcdm0BbiTNwz6P2zsaMTbo2Du\nGYYRHduHTEM6FfahA+bChn146iezZMmp3Wz4TcHpJ+1JhNjIWFJ1qUiT9lJeLig+fPj4Y6hQfsQ9\n37sw8AFGiHhNfJ8yaaDNrb4euhXilEmRikhUMhUxiQ5KSkAV7SBaZGNYpFItqo7c0eWgu/0kI5M0\nRmxdVrq7wen0v4/H66FT3sDs/PDsLlIpaLzxHA3CVLV0ttBljxHV7pefDz1WM/LeaKLDc7mhUWjw\nyvvJpNpaITiz2RmabDRGGolKsAy6tgDKqpuJ8BqOqze+75yMsGC+hNncwZPbnhy0rb3XTrxudMgk\nnUqHVCLF0eXoy0wKFGjsD3aXnbbm42NzA2FwfsMN8P6qFH4x6xf8+vNfD9mnurUapUxJYlTisCxu\nPmRmgtduoqrVvzJJ0R2eMikiAubM+VqhdBwQKjOptBSUhlPT5harjsXhchAX3xOQKG9qs4VFBJv1\nZqQSKeMN40fpLE8dZMSYMWRW8MEH0KLYd8ookxblTIfknX3h4Y2tLXh6ZUzLC//+OFxbRSgoZHLU\nXZl8uv0wH+4qJCPytMXtVIZEAi++CK+8Al9+OXT722+DSgWXXnr8z00MEjQJtHY3U1Xr9ru9w+3E\n65WQmSbSv/0NQ5Yhi6beQ3R2Dp7r+FDX2kBazEk0yB8m8ox5FFuFRjdfbtIf/yiEzW+sGkomZWSA\nsiPT7wKeD87uDnTq8LKdNAoth6vbKCsT7KijQSZNjM9DHmXnP+v6ia+y5jJozhm1RszcFBPNPZVD\nAvk/2b2PqI7Jw1rAPI3Rx2ky6STDvPR5bKvbxBlnwFdfCa91dcEtv2lCllDC4vHzxuyzEzQJNHY0\nDrK59fYKMuJOxCmTQFAnxWc0sn8/KKJaRVfQRqnUuHrFKZNcDvHtTscDxkijkC2S4A046aqzN0OX\nlryc8NVyekUCVc3BM5M6W0Lb3EAgk5yVeaid2ejDnAtolBp6ZUPJJGunNSTZaNQYiTBYhrQCHWmw\noJMdf4ubD1dfDeWrv0+xpZjChv6Qhk6PnYTo0QvH9amToqOFgbK/AVQgOFwOWpuOH5kEcOON8NZb\ncFP+Heyq28W68nWDtg/MSxquxQ2EwVNnQ3pAm5ukMzxlEsDGjcdPmeRrc4uNFcItOwfcwrxegUzq\n1ZyayiSZVEaMOgZtQnNAZVJzhw1jlHgyyaQ3kaHPOKVUw6MFs95MVGoFWoOTRlc12bHZJ/qURCE7\nNhsiLazZKshKtxVXonSaT7qcmkRFNpuLS9lVs5fZGVNO9OmcxgiRkAArVwrtbgMX6dxuuPdeIaT7\nBKVYhIRMKiMhKgFHbz0u19DtRxuFZ5vYevdvGrJiszjcEjiE29rZSIbx1Le55RpzOWjpb3TbvRv2\n7YOLl7dw1DY4LwmEcUtvcybltsC5SZ29Hegjw4uo0Cq1NNramDNHyKksaioasc1NKpEyIXIe/927\noe+1nRWlYM0mc5QcxpmGdCISq4ao+TeU7GNG2qmxGPNtwGky6STDwNwkn9XtT38C/fRPOT9rMUrZ\nKNSeBMBAZZJvwt/UJNRV2rrEKZNAIKVi0gQySa5xEK0SJ3/RqNR0iSGTuhw4W04uZZJaoUYulWNM\nbg9IJn1VVIfKnSy6znMg4tTx1DqCK5PaLKFtbiCQSXUHssj+8vPwySSFhm7a+zKTBiqTQgZwRxqR\nRw9VJlVZLcRGnDgy6aKLYOdXSq7LvY2ntj0FgKvHhYdeEgzqUfuctOg0alprkEjCD+G2uxy4W6OP\na/VxSgosXAjvv6PmifOe4Oef/XyQj393/W6mJU6jtxc2bIBFi4b3OZmZYCsPbHPrbQufTDqe8CmT\nJBKG5M01NQnKQnvPqZmZBMLvNiK2KSCZ5HDbwiJd55vm8/plr4/S2Z1aMOvNSA0VTFpcJLThyIbx\nMDgBkEqkmJTT+GzfLgC2l1UQIzGf0HPyhxxDDvtqy6jpKeTS2aeVSd8ELFsG06cLljYfXn5ZKNAY\n7jPneCFFm0JsRq3fLL2y6maUPd++vCQfsmOzKWsuIytrKJnk9YKjt4HctJNokD9MDFQmHTgADz0E\nd9wBXzUMzUsCISrAWZvJkSDKJJennRhNeMokvVoHqlYWL4Z2dzsWp4UM/chX3JbkLqDQ1h/CvbW0\njFR1zqiRvKZoEypj5ZBr5HDrPi6edZpMOllwmkw6yTDPNI9NlZuYPdvLli1COPETT0Dywo+4MGvs\nLG4gKIoaOwZnJtXXCxMkMTamgceJShDIJKk6DGVShJpuOukNnDsHCGRSu/XkIpNAUN5EJwfOTdpV\nVke0dHgTyiRdPBZncGWSvU68MunAAUEZMxxlkhs/yiSnNeT1Ea+Jh8ihyqT6VgvxUSeOTIqMhEsu\ngcjim/iw7ENqW2txuBwoevUYDKO37JmqHX4It71TyG863quwN98ML7wAl024HH2Enr/t/lvftt31\nuylIKmDPHuEeMdzfY2Ym1JWkU9Nag8c7OJ3d2mnFbQ/P5na84VMmAUNCuEtLhdD7urY6krQnMSMW\nBPGaeOS6wPe1tm47yQbxyiSlTMnM1JmjdHanFsx6M/LYShZfuZ9JCadGXpIPZ6ZNZ3ejEMK9v7qC\n5Mhh9L6PMaZnZHPAcgCPoYTF+fkn+nROY5Tw3HPw7ruwbp2g/nzgAWFSfrIjVZeKPt1/CPfhOiuR\nkm8vmZRlyOJQAGWS3Q7eqAYy4099ZVJSVBKuHhcpWc3s3AmbNsFNN8H6iqEWN4CoKIjozOBgvX8y\nqbu3Gy8eorXhCQt0EVpUujbOPlsI386JzRkVy/EVMxbgNG7ou8aLGkrJTxo9xW16dDoebdWga6S+\nyY1TXcYPzs0btc85jZHhNJl0kiE9Op1IRSRxE0rZvh1+8QtY8ZMetjb+jyVZS8b0s/1lJvWRSZ3h\nKZOUhkaKioCIMDKT5GqUkZ0BM4d8cLgc2Bt1J90E05cJFGjSVVRdR6JmeGRSuiGBFndwZVJLrTgy\nadw4Idulvj58MilKGYXb6yczqVOEMkljpFvZNIRMsjgtpMacODIJBKvbe6/HcM3ka3hu+3PYXXZk\n3XoMo5MhCAxtdKscKsTxC4/XQ0d3O0bd8dfDn3MOtLfD9u0SnrngGe5ffz92l+DP29Owh2lJ00Zk\ncQOhuaepVo1OpaOpYzBhanVa6bCc3MqkaFU03Z5u2t3tQ3KTSkuFQPC6tlPT5gbC71YaZfGrTHK7\nwS21hUUmfZth1pupdVZgle1jcvyptap6waTpNMl24nTC0ZZKxhvNJ/qUhmDhpBx6TJ+g85oGVcif\nxqkNgwFeegl++EN48EGYOxfOOCP0+040UnWpqBNq/ZJJlRYrOvm3M3wbhOKKdnc7KZmtQ8ikigqQ\n6RpJjDrJBvnDgEQiIc+YR5OnGL0ebr8dNJrAZBJAqiaTMot/MqmjuwOFNwqdNryVRa1Kyx8eaaOg\nYHQsbj5MSZyMVNfAh+uE+UlNZxlzJ4xOkxsItvgORRWHj/SHjP7j41Kieszoo0bPOXAaI8NpMukk\nxDzTPPY7NpGaCtu3w4Krt5KhzxjzyYivzW2gVWNYyiRNAlJdIy4XeBTilUlqhZr/b+/eo9sqz3zx\nf7du1tbWxZa9JdmWb0psEpMLoVwKFAKlTrmUHFYvtJTVyQq0nWkPc6YtM4us8zudBT1DSadrSksv\n68zp9JIpHdquc04hU2jWhDIJFEpbSFpaYrAJceKbZMmyZetmXX9/7MiXyHYsWba25O9nLRaxLFlv\nkje29lfP87z6FYRJE7EQEtO2goOQtZabCbRUmPSOfwTt9cX9HXY4HAhnFq9MymazmIhPoCZbB3EF\n31t1OqVaoqjKJL2EeCayoM2tsTGLYCwIu7h88iKbZMQ1C9vcMhkglPSjdT2HAS3ippuUvf6Bhs/h\nX078CwanBiHM1KKuhNfI88Okjg7gnaWrmBeYnpmGUStBblibwbXL0WiAv/xLpTrpMtdl2HvJXnzp\n+JfgDXsRS8bQZmvD888XP3wbAPR6JZB0GtvyWt0C0QCmvOquTBIEQWl1m84fwv3WW0BXVxaj4dGK\nHMANKP9uU8axRb+vjY0BBtsE6k0Mk1ai1qh8w33h7AsVV5l0XfuV0La8ihMnAG98ADta28u9pDw7\nmi4BxElsrWOLW7W57Tagpwf46leVyqRK0GxphrZuaNET3YYnxlFv3LiVSYIgYLN9MwyN+Se6DQwA\nGZO3KsIkQDnR7ZT/FJ54QgmTgrHF5yXldDZ4MBRefGZSOBGGLisVPGvLYrCgrXMaglCa4ds5Wo0W\nncbr8P9OvIBkOomwfgDvv2pTSb42oLyBXaM14tRAYPa2X/z+dXTVVtabMdWOYZIK5eYm/dVfKe/G\n/Orc2re4AUCDqUGpQGpIIxgEUinlAtvRNIOZ9AwshpV993KanUjVKFceKe3KZyaJOhE6MYpIZPn7\nTUanIFtsqhu82GBqgM62dJg0Oj2CLc3FhUmbmuoxI4SQyqTyPhdOhGHQGOGSV172um2bEiqZCnzz\nVjJIiKYiCIeVIGh4GLA6QjDpTRed5yVLMqYz/ryZMobaABpt5a1M0mqBj38cOP50B97b8V587Tdf\nQya6dpVJnZ1Af//KHheaCUEUatd1+PZ8+/cDTz8NBIPAP7z3H/Cj13+EJ//0JC5vvBzJpICXXwZ2\n717dc3g8gA35Q7gD0QDGB9VdmQScb3Vb5ES3N98EWjqnoBW0sNRU5qRVh+RAQrd4ZdLYGKAzT8yG\nJHRx7bXtOOk9WTEnueV46jwQjNN47jdjmBIG8O4t6mtzazA1wKKvxW3v4vDtavTYY8AvfqG8GVYJ\n3FY30tLibW7eqQAclo0bJgFKq1vK2p/3Wqh/IIqsJrHiN6LVrlvuRq+/FzffrFQlvXB28XlJOVvc\nLkTSIUQS+RdDkUQE2kzhYZK1xorpxDQAJUzqlkvXItbTuRuvBY7jD2cHIEw3YduW0p7M0GxuRZ9P\neW2YyQAnhl7HTVsr6+dntWOYpEK5MOm//Tfg/e8Hnn37WdzetfZhkl6rh63GhlAiiPp6wOdTLoys\nTqXqRFhheuOUnIhrlUQlIRRWmaQzxi4aJoVmQmi0F3im/TqQTTIEafEwKZ0GJtIjuGxTcWGSu0kL\nbcIOf8Sf97lgLAiztq6g6o1LL1WqkgoN5CS9hEgiAkkCpqeVMKmmbmUtkBaDBWkkMeKfG7I+PAwY\n7X7IpvKGSQBwzz3Aj38MfP7dD+CXb/8S6cjaVSYVEiZNxidhyK7vSW7zNTQoQ8p/+EMlWDhw3QE8\n+NyD2OXahd/+Vnlhv9o/J48HqIm14mwovzIpGmgoaai3FposTUtWJtnclTsvCVC+r4WzfkxNAcnk\nws/5fIDGNIk6IyuTVqq9th120V5xlWqCIGCz9C78/LevIW0dwK6O9nIvKY8gCNjZuA3XtF5R7qXQ\nGjCbgVtuKfcqVq7Z2oyYbvE2t/FYAE21DJMCmX5MT2O22h0Aegd9sGpcK77mULutDVtxKnBq9uPl\nWtwAwNOhgZRsx5nJ/OqkcCIMbcpcVGXS1Izyh/zGWOkqkwDgo+/ejVDdcfzsV2+hNt0FTYmThc0N\nbRgOn0UmA5w8CQiu17F7C8MkNWGYpEJbGrYgnAhjaGoI50Ln4A17cWXTlevy3A7JAV/ENzs3aXQU\nMNWvfF4SgPPHoSq9THGsfGaSqBOhvUiYlM1mEU6G0FyvzjApXbN4mHTuHKCtHcEmR3FhkssFCBFn\n3kwZQAmTRKxsXlLOtm2Ft7gByvDcTDYDa10CAwPKEaMxBC46LwlQXug3iDJGQ3OB2NAQoLX4IUvl\nD5Muu0yp1EqfvRrXtVyH5PTahUmbNiml3Kn8QrM8oXgIunT5wiRAGcT9v/6XcsrKX1/91/DUeXC1\n++pVt7jleDxAdrJtQWVSNBlFKp2G0y6V/MVJqeVOdJs/gDuRAAYHAX1d5Z7kBig/E/zRMdTXA/4L\nsmyfD8gYJlAnMkxaqXZbO3Y4d1TkhdJ17Vfg9fBRaLVZ2FX6d/7sx5/FzR2rGOJGVCJuqxuh7OJt\nbqFEAK0NG3dmEqCc6NY/0YfNm4HTp+duP+31osFYHS1ugFKZdMq/8jCpowPQTXtwZiI/TIokI0Cy\niDa3GgumZ6YxNTOF8dg4OupWf5JbzpXuyyHUncW/vfgbtJlLXzboqW9FjeMcRkaAX/4SgOv1iqvs\nrXYqf4m+MQmCgPe0vgcvnn0Rz/Q9g1s231KSqfsr4TQ7Z4dwj44q/xlsK5+XBCiVSWNRH2RHFrFM\nYZVJ2prlZybFUjFooEOTs7CTDNaDLMmY0S0eJvX2Ahpr8UN4XS4gFXLAG87/4sFYEIZ0YWHSe94D\n/O3fFr4OQRAgGSSY6yLo7Z0bvr3S/eGyODCjG5v9Ox4aAjKiOiqTBEEZxP3EE8CXrvsajKc/Cp2u\ndF+/1liLZCaJ6ZlpiCLgdK7sRLfQTAiamVrIZfwjuvZawGgEnn9eCRRf+/Rr+NDWD+FXvypdmBQd\nXdjmNh4dh03fgKZG9V90LzYz6fRpZdC6P165w7cB5fuaP+KH04m8VrexMSCpm2BlUgEuc12GG1pv\nKPcyitKz7QoIl/5fWDPtqg3DLDUW1a6NNpYmSxPGZ0ZxbjCT97lIdhwe1wavTKrvRP94/olug5M+\nNFkr/yS3nLbaNgRjQUzNTF10XhKghEnJMQ/emcgfrBlJRICEBGuBHYAWgwXTiWmc8p/CloYt0Ail\nu/zXaXTw6K7FiPxD7Ggq3UluOW22NlhazuLtt4HDzwWQ1YfRamst+fNQ8YreTcFgED09Pejq6sKe\nPXswOTm56P2OHDmCLVu2oLOzE1/5yldmb3/ooYfgdruxa9cu7Nq1C0eOHCl2KVXp+tbr8cLZF5QW\nt3WYl5Rz4RDu0VFAYy68MskX8eHWO2LQaXQXnaWTI+pECIblK5NC8RAMWZsqB/LKJhmR7OJh0hun\n0kga/HBKxf2ANBoB3YwT7ywyuCQYC0KTsBf0Z1JbqwxWLobZYIY0L0wKRAMr3h+yJKOueW4I9/Aw\nkNCrozIJUOYm/Z//AzTjKjjCpX13WxCEolrdJuOTyMbLW5kkCHPVScD52VlRASdOKMHkank8wMTA\nwja3QDQASVD38O2cC2cmZbPKvKRLLlFOcqu0lqb5ZJMMf9QPhwN539tGfSmkhGjFzoMqh/279uPh\nmx4u9zKKcmXTFchaz8FpVN+8JCK1MeqMsBqtCGf8C94kzWaBGW0AXe4NHibZO9EfzA+TfGEv2hoq\n4Af/CmkEDS6pvwRvBt7EC2dfwDUt1yw5LwlQ3oSKDHXgdDA/TAonwsjEi2hzO1+ZdMp/qqQtbjnv\n9ewGrCO44dLSVya11bZBX38Ov/898Gf/n3BZY2VW9lazosOkgwcPoqenB319fbj55ptx8ODBvPuk\n02ncf//9OHLkCE6dOoUnn3wSvb29AJQLqy984Qs4efIkTp48iVsqqRF6HVzfej2eO/Mcjg8cx55N\ne9bteR2SA2ORMbhcykWRzwdkjIWFSWaDGRpBg//vK0OwGVcen5v0Jgj6i4RJMyHoUioNkyQZoWQA\n0SgQjy/83Mm+MZi19mV/gFyMRXDgHe/ilUnZaGGVSash6SWYaiM4dep8ZVJ0fEVtboByYWpxzQ3h\nHhzKII5gQftrLbW1KfOk/u3fVj8HaDHFhEmheAjpSHnDJECp2vrVr+ZOenzpJeDyy5WBkqvl8QAj\nvQvb3ALRAGrS6h++Dcy1ueVe4E1PK/OScmFSJVcm5X4mLFaZNOSQ++ixAAAgAElEQVQPQdRYS/ou\nJ6lXq60VtYYGvHtLe7mXQlQR3FY35E1Ds+3PADA+DkAKoKlWHa97ysUhOZBMJ9HoCc6+FgqFgJTo\nRVu9Cl/kr8JWeSt6/b1Ki1vbjcve12gErGkPTnkXqUxKRpCOFzeAeyoxVfJ5STkfvUaptn3vztJX\nJrXaWpGUzuKf/xnoePfruMzFFje1KfoV4OHDh7Fv3z4AwL59+/DUU0/l3ed3v/sdNm/ejPb2duj1\nenzsYx/D008/Pfv5bDZb7NNXvV2NuzA6PYqdrp0XPXK9lJySc3Zm0p//rAw8nEoW1uaW+zr94/0r\nPskNUNrccLEwKR4CEjZVXmDOfwf/wouuN86NwGla3QVlrcGJc8HFK5PS0+sYJhkkiLZ5YVJs5WGj\nbJJhrJ+rTBrwTsCks6wqZCu1e+5RKnDWYujzhWFSX9/FHxOaCSE5Xf4wyWoF7roL+N73lI9L1eIG\nKMGdJt6AWDKGcCIMQAmTdInKqUwamR6BIGC2Oumtt4AtW6BULFVwmGQX7QjFQ2hwpPK+r41OTsCi\nZ4vbRiEIAt7degW2NbeXeylEFcFtdaO2deEQ7uHhLCAW/rq62giCgM76Thhc/bOVSWfPAmanDy5z\n9bS5AUB3gzI36WLzknLarB6cHl9kZlIignS0uAHc0zPTeMP/Bi51lD5Muq79Snyk+yNoq3OX/Gu3\n2dowrT2L06cBWyfnJalR0WGSz+eD8/zVq9PphG+R3p7h4WG0tLTMfux2uzE8L57/5je/iZ07d+K+\n++5bsk1uo9JpdLiu9bp1bXED5t6FbmxUpuY3NiqVJ4VWjjjNTvSN9xV0tKeoE5HVLT8zKTQTQiaq\n3sokf1SZLTL/n0M2C5z2j6CtfnUXlLLowEgo/9/ZRHwC8cnC2txWQ9JLqDGH0dc31+a24sokSYah\ndl5lUtAPu1Fdpd4f+QgwOblGlUmW4trc4qHasodJgNLq9r//t3I64fPPAzeXqBNQEIBNHgGOmrm5\nSYFoANlIBVUmTSubOjeEe35lUiW3uWk1WtSJdZDk8bw2N98U5yVtNP9w0z/go9s+Wu5lEFWEZksz\nTK6hBWHSmaEoBGhg0pvKtzCV6LR3ImWbC5MGBgCD3QuXWYUv8ldhq7wVLw2+hNMTp3FF08VPm7zE\n0YGR2Dt5RRfhRBjJaJEDuBPnw6Q1qEwyaA342Ud+tiZVyrIkI5ENA/oowmaGSWq07HjZnp4eeHMl\nBPM88sgjCz4WBGHR/sXleho/85nP4O///u8BAF/84hfxwAMP4Hu5t7wv8NBDD83++sYbb8SNN964\n3LKrxnfv+O66ViUBc/OOXK3KANn3vU+pPLmkobA+WKfkRH+wf8UnuQFKZVJWc/HKpFRYnWGSxWBB\nIp1AgysOn884e7vfD2TNI2izr+6CssnqxKno4pVJ0UDXulYmGcwRpFLKhfN/FjCAWzbJEKTT8HqV\nkM07FcBlVnXMS8qpqwNuv31tKpNabC04OXoSQCFhUgjRoEcVYdJllyl/5z/+sTIT6OqrS/e1PR4g\nDSVM6pa7EYgGkJqqjMqkelM9wokw4qk4mpqMGB6eNzPpZGW3uQHKmwxG7RiG31r4TSYQnsA2qYhj\nIalivatp6cGxRLSQ2+rG6/aFJ7r1DQcgZlXwA10Fuuq7EMj2YWICiESUMAnm6guTuuVuvDT4EvZs\n2rOiSvyudgt0GUm5Hpv3ZzE9E0E6JsFUYA5pMVgwNDWEidgE2mora+adRtCgxdaCa/76DP7v1Cls\nc2wr95KqwrFjx3Ds2LGSfK1lw6SjR48u+Tmn0wmv1wuXy4XR0VE4HI68+zQ3N2NwXhw/ODgIt1sp\ngZt//09+8pO44447lnyu+WHSRlKOafXzK5OA85VJBbQx5bjMrqIqkzLa5cOkiXgI8ZBt3YKTQgiC\nANkkw9boh883V5HX2wvY20bQvMoLypZ6B15a4jS36bG6dZ2ZpJeUv6SmJiBwauWVSQ7JgVTNGEbP\nKdU/GosfLou6wiQA+OIXlbk3pea2uvHvff8OQAlPBgeBZBLQL/PaYjwSgjZpgyiWfj3F+Ku/Aj73\nOeWEN0MJD1Xs6ADOxlpxdlIZwu2P+hEPdldEZZJG0MBldsEb9qKpqR2vv66EpQ0NWYxOj6LRUgG/\niWXIJhnaGv+CNrdMBphKTMJhZWUSEdFimi3NyEjHMDgwd9sZXwBmzcZuccvptHfi2befhcejvIF9\n9iyQtPmKPqxGrTbVbYJOo7vovKSc9nbA1K+c6DY/TJqMRGAQmlDo/GlrjRXvTLyDK5quqMgZh221\nrbjy6ufx0m9dPPCjRC4sznn44eIPBil6R+3duxeHDh0CABw6dAh33nln3n2uuOIK9Pf3Y2BgAIlE\nAj/96U+xd+9eAMBors8FwM9//nNs37692KVQCc0/zQ1QwoLxaJEzk4KFz0xKC8uHSd6JEAwZG4zG\npe9TTrIkwyQvPNGttxcwOVdfneBxODGdya9MGpsOoiZjX7c/E7PBDJ1R+UvKDeAu5DS3GZ0yM2lo\nCKht8kM2qS9M2rULuGENTu+ePzPJYFD+/M7kt8UvMD4dgq1GPdUfd92l/L9ULW45Hg+QnWxb0OY2\n7auMyiTg/Ilu08qJbv/5n8q8pKlECHqtHmaDudzLWxVZkgHTwu9r4+OAsW4C9SaGSUREi3Fb3YgZ\nFra5DQbGUVfDyiQA6KzvRP+4cqJbfz9wZiCLMLxwVtnMJL1Wj8tcl634QKWODkCY9ODMxMIXiBPR\nMERt4aee5AKYbrm74MeqQZutDf/e9+9scVOposOkAwcO4OjRo+jq6sLzzz+PAwcOAABGRkZw++3K\nnB+dTodvfetbeP/734/u7m589KMfxdatWwEADz74IHbs2IGdO3fi+PHjeOyxx0rw26HVckgO+CI+\nGI1Z2GzFVyY5zU6cC50ruDIpJSw/M2k0GIJFv/KAar01mBpQY88PkzS21YdJl7gdiGvH8nqo/eEg\nGqT1a4eU9BI0xgi0WsDpLHBmkklGOKvMTBoaAkyyX7lQ3SDmh0nAylrdxqOTqDOpZ8+LotLmdv78\nhZLxeIDYaCvOTc2FSVNeuXLCpPMnujU1KfPmqmFeUo7D5ECyZmxBZZLPB0j1nJlERLQUt9WNqezw\ngja30VAAssQwCVAqk/qD/di0OYu33wbeGQxDq9FU/Bswi3nlvldW3Cbc0QHEvR14Z2LhiW6hWAQm\nXRFhkkEJk9ZiXtJ6aKttw7GBY9jhYJikRsu2uS3Hbrfjueeey7u9qakJzzzzzOzHt956K2699da8\n+/3rv/5rsU9Na0gySNAKWoQTYbhcFiVMOltcZRKAgiuTkrhIZdJkCLViR0FrWU+ySYbWkh8mJdyr\nD5Nam4wQUkaEZkKoNc5VqgRjQXis6xgmGSREa8JwuQCNJquEjSudmSTJCCX9yHiVIcU1dX7Ipsrq\n316NerEe0WQU0WQUJr0JXV0XD5NC8RBazeoJkwBgkW/pq+bxAMGBuTY371QAktCAmprSP9dayA3h\n3tmstLhdcgmUSqUKn5cEnK8oTCptbtmsMjB9bAww1k4s+F5ERERzmq3NGIsPYXIwC0DpTfJHAthk\nY5sboMwb1ApauDx+9P/BgbPjXjilCnkHqUBajXbF93W7geiwB/3jLy24fToegUlfeNBm0pugETQV\nGya12lqRzCRZmaRSldc4SWsuN4R7zx5g+/YsJuITBQ8Cz5WoFlqZlMwuHyYFwiHYpZV/zfUmm2Rk\nTflhUiiz+jCpsRFAxAHfBXOTppJBNK/FtOgl5CqT2tqUkyV0Gh2MupX12NlqbJhJxzEWjOPsWUBj\n3liVSYIgoNnSjOEp5VTLlVQmhZMhOG3Vf8He1gaMn17Y5ua0VM67t42WucokYK4yqSrCJJOM4MwY\njEYgFFJu8/kAvXUSdSIrk4iIFmOtsUKr0SCWCc2+tp2YGUeLvXJ+tq21zvpOGBr78Yc/AFGtF822\n6gyTCqHTAQ1aD970LaxMmp4Jw2wovDJJEATUGesqdnh1m01505lhkjoxTKI8uSHcjz8ONHaEIOpE\nGLSFTdqdrUwq8DS3ZDaOcCS75H0moiE4rOqq0phPlmSkDHNh0vQ0EJhIIpQIwiHlD6kvRG0tkA07\ncS4412sST8WRzqbR5Fi/I2YlgwS7M4KnnlJaIFfa4gacH1IuybA1+XHyJJA2+gt6fDWY3+q2kjAp\nkp6Eq069e75UDAbAZXJjdHoUqUwKEzMBNNdVzru3jeZGpa3tfFfbli1V1OYmOeCP+uFwYLbVzecD\nNCa2uRERLafZ2gzHZqXVLZ0GotkA2uSN9bpnOV31XUha+vDaa4Dc7qu6eUnF6qj1YGBy4cykaDIC\ni7HwMAkATv7lyYo7yS2nvbYdJr0JnjpPuZdCi2CYRHlyQ7iB4oZvA8VVJmkEDXSCHpH4zJL3mZ6Z\nUvWFtWySEdfMhUlvvQV0bPfCITkKKnFdjCAAxowDfcNzlUkTsQkYs3Y0ugo82mEVzAYzoskIZLmw\n4ds5skmGvcWPV18FZrTqHMC9li4Mk/r6lr5vMp1EMjuDxvriXjxUmk3tBlh0DXgr8BZ0qEGzU6WT\n9heRq0wSReDznwc2b66iyiRJhj+ihEm5721jY0C2ZoKVSUREy3Bb3ahrU4Zwj40B+trKqrpda532\nToyjHzodYG3ywlWlbW6F2tLkxkTCh5nU3DVRJBmG1VjcPKkWW8vF76RSHXUdOPHpE6u+jqK1wTCJ\n8uQqk4Dihm8DyrA3o85Y0MwkAKjRipiOx5b8fDgVQnODisMkScZ0JoCpKeXI995ewL2ldBeUFsGB\nd3xzlUnBWBC6ZB2c6/hGjqSXEEkq9dqFDN/OkSUZVpcSuEUQ2FBtbsDCMKm9HfB6gXh88ftOzUzB\nkLVCltcvLCwnjwewZltxYvQERDTMVvlUgtzMJAD42teUSqvRcJXMTDLJGIuMwelcWJmU0nNmEhHR\nctxWN6RGJUwaGQH0tkBRb9JWq057J05P9sPjAUTZC5eZYRIAbOrQwZxx42zo7Oxt8XQEtaaN8ebi\nhS5puKTcS6AlMEyiPE5JmZkEFF+ZJAgCnJKzoMokADDqRERmlg6TYtkQWh0qDpNMMgJRPxoalIuu\n3l6gvr10YZLd4MRgcK4yKRgLQjNjX98wyTAXJhUyfDtHNskwNfgBZDGZ2NiVSTod0NoKvPPO4ved\njE9Cm6xFwwZ5E9PjAWpirXht9DUYkg0Vc5IbADRZmjAaHl1w28j0CBotFZSILWF+m1uuMsnnA2aE\nSba5EREto9nSDF3d8GyYpJEKGw9Q7TrrO9E/3o/NmwGtjW1uOe3tQE3UgzMTc61u8UwEtabqO+mO\nKhvDJMpTisokAPjba/8W3XJ3QY8RLxImJYQQPE0qDpMkGf6oH06ncrHV2wuYXCNoMpcmTJJNDoxO\nLaxMykTs63rRLeklhBNhAOcrk8QCK5NMMgy1fhgsyvBuUS+uxTJVy211Y3BqcPbj5eYmhWZCEBK2\nDRUmZSfbcGL0BIR4ZVUmOSQHgrEgUpnU7G3V0uZmF+0IxUOQnanZyqSxMSCaZZsbEdFy3FY3spYh\nDA0pYVK6pvCK7mrWae/E28G3cf/9WUgOVibldHQAmWAH3pmYe7dxJhtGvWVjViaRejFMojy509wA\nJawo9CS3nPuvur/gCw2TQUQstXSYlNaHsMmt4jDJpMwWmR8maW2lu6Bssjnhjy0Mk5JTZahMSpyv\nTCqick2WZGgsfrg8G+skt5z5lUnARcKkeAjZmA3yBvlj8niA6GgrTnpPIhOurDBJq9GiwdQwO28u\nm81iNDxaFQO4tRot6sQ6mBoCs2GS15dBJBVimxsR0TLcVjfiBqUyaXgki7gmUPSbtNXIZrTBpDdh\n+7UjiAg+hknndXQA0WHPbJiUzWaRRBR2y/oduEO0EgyTKM+CyqQiBiyvhmQQEU0uHiaFInEgC1UP\n5a0T6zCdmIbsTGJoCBgYAOKG0oVJLXYHJhJzbW7jsSDiE3Y4VndQXEFWOzPJITmQNo7B3rLxWtwA\noMXasiBM6upavjIpFd5YbW7BM60IJ8JITFZWmxtwfm7S+Va3yfgkDFoDpCKO8VUjh+SAoVaZdZbN\nAr7JaYg6ETqNrtxLIyJSrWZLM6ayysykc6NRaDXaDVeRfTFd9V3oD/bDG/bOnga90blcQMLnQV9A\nCZNiqRi0WSNsVg6hJnVhmER5FpzmVsRMnNUw6UWkhRhSqfzPnR4OQZO0QaPiXasRNLCLdlhd43j5\nZaClBRiLlm4I7yaXE+HsXGXS6MQEDGk7jOuYr5kN5rnKpCLaIGWTDLHBj/3/dWNWJsmSjNBMCPGU\nMnV7ucqkYHQSyWkb7MUVB1achgYgM6EcXRsNVFZlEnD+RLfzQ7irpcUtRzbJ0Fr9GBsDpqcBrTTJ\nFjciootwW93wJ5Q2t3P+AGz6DfLuUAE66zvRN94HX4Qzk3I0GqBJ9KDfr8xMCifC0GYkWCxlXhjR\nBVR8WU7l4pAccwO4VzEzqRiiXoTRHEMkkv+5d4ZD0KfV2+KWkwtLjh0Dtm4t7UXlJc0OxHVzlUnD\nE0FY9eubNMwfwB2IFn4qiSzJmJjxw+L0b8i5ARpBgyZLE0amRwAsHyZ5J0MwZG3QbZDiD0EAOuyt\nAIDMdANs6v/nvkCjuXH277XqwiRJRlocw9iY0sJrb+K8JCKii2kwNSCajCCRjaF/OID6AudMbgSd\n9k78fvj3MOlNMOrU232w3jz2DpydOo1sNotIIgJNimESqQ/DJMpTJ9YhkoggkU4UfZpbsUS9iJol\nwqRzvhCMgvqvLhtMDTDU+jEwUPowqbOlFhlNbLaqZWwqCLtpfS/o5g/gHo8VfiqJbFKGlPujG7PN\nDVg4N6mlBQgEgGg0/37eiRAk7caaSdPZUosaWFBnbIAglHs1hZnf5jYaLl1Foho4TA6kDEqbm88H\n2FwTPMmNiOgiBEFAk6UJzs3DGAoG4LBwXtKFOu2dePHci2xxu0BXix2ZLDARn0AkGYGQNDNMItVh\nmER5NIIGsiRjLDK2/pVJOhEGU2zRC+tBfwgmrfrDJFmSIZj9AIDNW2YwnZguWSDncglAZO5Et0Ak\nCIe5DJVJiQiy2WxRM7VkSRlSHogGGCYB0GqVQYtvv51/v7GpSVgM6t/zpeTpEGCItUGuwKq1C9vc\nqmH4do4syQhn/IhGgcFBQKqf4PBtIqIVcFvdsLcPQzCPo8lWeT/b1lpnfSfeGn+Lw7cv4OkQYEkp\nQ7jDiTCyCVYmkfowTKJF5YZwl6MySW9avDJpNBiCtQIurGWTjKyohEkN7aNwmV3QCKX5p6bTAbq4\nE28NK2HSxEwQLtv6hkkGrQGCICCRThQ1gLvWWItIMoLh6eENOTMJUIZwD0wOzH68VKtbIBxCrVH9\ne76UPB5A99S/odN4bbmXUrAmS9NsZVLVtbmZZPijY5Bl4M9/BsQ6zkwiIlqJZmszpMYhWF0ByBLD\npAtttm8GAM5LukBHB6Cf9uDMxBnlTdwZhkmkPgyTaFG5IdzlqExaKkzyhUKoFdV/YS2bZCR0Spgk\nuUp/QSlmHOgbVuYmTSeDcDes/3Rms8GMQDSATDYDk76wY0o1ggYNpgb0+ns3bGXSVc1X4eXBl2c/\nXipMmoiGYDepf8+XkscDTLy1HU0ufbmXUrCqbnOTHPBH/XA6gddfBww2trkREa2E2+KG3j4EqaHw\nN+A2ArPBjEZzI1wSK5Pma28Hkv4OvDPxDiLJCNIxM6zWcq+KaCGGSbQoh+TA0NQQ4qk4rDXr951L\n1InQGRcPk8bDIdRL6r+wliUZUcGPf/kXYCpb+jDJonHizJhSmRRFEG2O9Q+TJL2Es6GzaDA1QChi\nsI1sktEb6N2wlUnXt16PX5/7NdKZNIClw6TQzCRky8ZqJfJ4lP9X2kluQPW3ufkjfjgcSmWSVmKY\nRES0Es3WZsA6jJra9X2DtpJ01Xexze0CHR1AeFBpc5ueCSMdY2USqQ/DJFqUU3KiN9ALu2gvKiwo\nlqgXoa1ZfGbSRCwEuQIiedkkYzwWwH33nW91MZc2TKozODAY9CGdSSMlhNHuWv+ATTJIODt5tugW\nSFmSEU/FN2xlktPsRKOlEX/0/REA0NW1eJgUToXgqLQjzVapvV35fyWGSS6zC2ORMWSymapscxuL\njMHpBAYGgKyRM5OIiFbCbXXD5BrClnexMmkp7/O8DztdO8u9DFWprweyQQ/6/O9gMhKBJi1tmNN9\nqXIwTKJFOSQHTvlPrfs7KKJOhMYYXbQyaWomhEa7+i+sZUk5rQxYm7kpDsmJ0akxTMYnoUna0NS4\n/v+MJb2Ec6FzRe+PXIi0kV9U7W7bjeMDxwEsXZkUy1TGni8loxFobgZcFfgGpUFrgLXGCn/Ej9Hp\nUTRaKjARW0Kuzc3hUD7OGDgziYhoJdxWN3yxIcxoGSYt5X/c8D9wW+dt5V6GqggC0GrpwNvjZzA+\nHYYB5nIviSgPwyRalNOsVCat5/BtQKlM0hjy29yyWSCSmkJzvfovrGWT0g4CrE2Y1GxzIBDzIRgL\nAjE7nGWYVygZlDCp2BdFskmGXqNf1xZKtdndthvHzyphUlMTMDUFTE8vvE8cIbTIG6/6Y/9+YGeF\nvkHZaGnEG/43YNQZC54npmZ20Y5QPIR6OQUAmNGwzY2IaCWaLc0Ynh5GIBpY99fVVNk2y23wxgYx\nHp5CjSCVezlEeRgm0aIckmNVlSfFEnUiBH1+mDQ1BUAMwVkBLT9rXZnUWu/EZHIMgWgQmUjdbKXA\nesrNTCp2fzgkB2RJXtcWSrXZ3b4bL557EZlsBhoNsGlTfnVSUjOJVof693yp/c//CbS0lHsVxWk0\nN+K1kdeqqsUNALQaLerEOpgaAgCAWHaClUlERCvgMrvgj/jhC/tYmUQF2dxuhAQH3gq+CaOWlUmk\nPgyTaFFOSSl3WfcwSS8iq8+fmeT1AgZLCLYKOCa9XqxHMBZcs7kpm1wOhOHDOX8Q2oQdNTUl/fIr\nYjaYV1eZJMkbdl5STpOlCXbRjj+P/RlAfqtbPBVHFkCz01ieBVJRmixNOOE9UXVhEqCEwPpaP/R6\nIJya5MwkIqIV0Gv1kCUZvoiPA7ipIB0dgJTwoG/yTzDpWJlE6sMwiRblkJRyl3Vvc9OJgDa/Msnr\nBbSmEGw16g+T9Fo9LAYLJmITaxImbWlxYkY3hgFfECZh/U9yA84P4A4VP4DbKTnhNJehP09llpub\nFIqHIMzY0MA3MStKtVYmAUp7qsaszE2aiLHNjYhopZotzZD0EkS9WO6lUAXp6AA0oQ6ci74FSc8w\nidSHYRItajZMKkdlkm7xMAnGyqhMApTB0mdDZzGTnin5u/dbWxuQNozjnD8As7ZMYZJewtTMVNGV\nSbd13oZ//sA/l3hVlWf+3KQLw6Sx6UlkY7WogM5OmqfR0oj+YD8azdUzfDtHlmSYnWM4dCiLiTjb\n3IiIVsptdXNeEhWsvR2Y8XqQzqZgNrDNjdSHYRItSq/Vwy7ay1KZlNbkh0mjo0BGXxmVSYBy0fVH\n7x/RaG4s+VygOpseSFhxyvs2amvKFyYBxYeNNboatNe2l3BFlWl3+268cPYFZLPZvDBpcCwEXdqG\nDTxWqiLlQqRqrExymBwIxv245oYYNIIGRh1bMImIVqLZ0sx5SVSwjg4gNOABAFiMrEwi9WGYREty\nSI6yVCalhcVnJiU0lVOZJJtk/NH3xzW7oNTPONE/2Yt6U/na3ADwhdEqtdpaIRkk9AZ60dV1QZjk\nD6EmWxn7neY0Wqo3TJIlGWORMUzGOS+JiKgQbqubr5moYFYrUBPrUH7NMIlUiGESLeka9zXorO9c\n1+cUdUqYdGFl0rA3gSxSykylCrDWYZIp68BY9k04reUJk3KltizZXr3c3CSnE4jHgclJ5faR8UmI\nGl6wV5pcZVIuVKomDskBf9TPeUlERAXqlrtxSf0l5V4GVaAOm1KZZDOxzY3Up+gwKRgMoqenB11d\nXdizZw8mc1dAF7j33nvhdDqxffv2oh5P5fP9//J9bHNsW9fnFPUiklgkTAqEIOlsFXOUfK7Nba3C\nJKvGiaRxGI115bmgW22bG83JzU0ShIVzk7yTIZh1rEyqNFVdmWSSlTCJ85KIiApyxyV34PFbHy/3\nMqgCdTa5gJQRdRIrk0h9ig6TDh48iJ6eHvT19eHmm2/GwYMHF73f/v37ceTIkaIfTxuLSW9aNEwa\nnQjBYqicC2vZJGMiPrFmF5R1NcqA9Jb68rW56TQ6WGusZXn+arK7XQmTLpyb5J8OwVpBe54UJr0J\n92y/B82W5nIvpeRybW6sTCIiIlofHe0C8MJ/h9vSWu6lEOUpOkw6fPgw9u3bBwDYt28fnnrqqUXv\nd/3116NukeqJlT6eNhZRJyKRyZ+ZNBYKoU6snAtrWZIBrF11glNyAgA6XOUbwF0v1ldMpZiaddR2\nQKfRoT/Yj85OoK9PuT0YCaFOZJtbJXrig0+gRldT7mWUnENywB/xc2YSERHROunoAPDCFyHb2OZG\n6lN0mOTz+eB0Khe0TqcTPp9vXR9P1UnUi5jJLKxMSqWAyZkQ6s0VFCaZ1jZMaq5VKpM2NZevMomD\nJEtDEITZuUnzK5MmYpOwS5Wz56n6LWhzY2USERHRmutQ5m/DymYAUiHdcp/s6emB1+vNu/2RRx5Z\n8LEgCKuqUFjt46l6iDoRM+mFYZLfD1jqQ6itkJPcgLWvTGqrdwLjQKe7PBd0m+2b8T7P+8ry3NUo\nNzfps52fwre/rdw2lQhBtlbOnqfqZxftCMVD8Ef8nJlERES0DnJhksVS3nUQLWbZMOno0aNLfs7p\ndMLr9cLlcmF0dBQOh6OgJy7k8Q899NDsr2+88UbceOONBT0XVQ69Vg8ACMeSAJRfe72ARQ5V1Hye\nta5M2uRyAH82wywa1uTrX8xm+2Z8/Zavl+W5q9Hu9t340qQ+4MUAABKhSURBVAtfwtfek0V/v4Bs\nFoikQnDZGCaRemg1WthFO96eeBtXNV1V7uUQERFVvbY25f8Mk6hUjh07hmPHjpXka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AA4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\nERERERER0YoxTCIiIiIiIiIiohX7/wE9/DwtvDC6ggAAAABJRU5ErkJggg==\n", "text": "" } ], "prompt_number": 45 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "4. Decomposition (Excercise)" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "From here, let's try to mannualy decomposite a time series, the Australian Beer Production data. Copy the data from: https://github.com/qwu-hab/geogg121/blob/master/Beer.txt" }, { "cell_type": "code", "collapsed": false, "input": "import numpy as np\nimport pylab as plt\n\nbeer = np.genfromtxt(\"beer.txt\",delimiter=\"\\n\")\nyear = np.arange(1,beer.shape[-1]+1)\n\n#plt.plot(year,beer)", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 52 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": "Plot the data. Do you need to tranform the series, or should we difference the series?" }, { "cell_type": "code", "collapsed": false, "input": "# some examplary code to calculate the 12-month moving average\nmonths = np.arange(12) \nbeer_12mon_avg = np.zeros_like(beer)[:-len(months)]\nfor i in months:\n beer_12mon_avg += beer[i:(i-len(months))]\n #print beer_ts[2:-10]\nbeer_12mon_avg /= len(months)\n#plot(beer_12mon_avg)", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 60 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": "Is this an additive or multiplicative model? Which one of the following two detrending method would work better?" }, { "cell_type": "code", "collapsed": false, "input": "beer_detrend_additive = beer[:-len(months)] - beer_12mon_avg\nplot(beer_detrend_additive)", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": "beer_detrend_multi = beer[:-len(months)] / beer_12mon_avg\nplot(beer_detrend_multi)", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 56 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": "Next, examine the residuals (irregular terms). Is there anything else we can do to make the residuals more random? " }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "\"To visualise how well the decompositions have performed we can compute the ACF of the two random components. If the random components are purely random processes then the ACF will show no significant autocorrelations \" " }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "5. Wavelet (Extra taste)" }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Example wavelet code from: http://www.phy.uct.ac.za/courses/python/examples/Wavelets.py" }, { "cell_type": "code", "collapsed": false, "input": "run Wavelets.py", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": "C:\\Python27\\lib\\site-packages\\matplotlib\\image.py:349: UserWarning: Images are not supported on non-linear axes.\n warnings.warn(\"Images are not supported on non-linear axes.\")\n" }, { "metadata": {}, "output_type": "display_data", "png": 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jKL9djtkvz8bxnOMovFiI/X/ux8IZC3H3zl0AQLPmzXD+9HlcPH8RZdfLJMOtx08bj9XL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\nBlNMqMyJGv9YUlk5xBATAGtu9cUacmsbd37YpDk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7qlbPanLUxppms7ZwcEYGbN6sbYxp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\nJSYmkp6eXupYcXEx48aNIz09nSNHjrB8+XKOHj0KQFxcHOvXr2fx4sV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"text": "" } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": "Can you figure out how to read this scalogram? If so, then, try to modify the code, and fit our time series data to the Wavelet Scalogram." }, { "cell_type": "heading", "level": 6, "metadata": {}, "source": "Hope we had fun playing with the data! Enjoy your Xmas!" } ], "metadata": {} } ] }