{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Bias, Variance, and Cross Validation\n", "\n", "In the last lab, and in homework 2, we alluded to cross-validation with a weak explanation about finding the right hyper-parameters, some of which were regularization parameters. We will have more to say about regularization soon, but lets tackle the reasons we do cross-validation.\n", "\n", "The bottom line is: finding the model which has an appropriate mix of bias and variance. We usually want to sit at the point of the tradeoff between the two: be simple but no simpler than necessary.\n", "\n", "We do not want a model with too much variance: it would not generalize well. This phenomenon is also called *overfitting*. There is no point doing prediction if we cant generalize well. At the same time, if we have too much bias in our model, we will systematically underpredict or overpredict values and miss most predictions. This is also known as *underfitting*.\n", "\n", "Cross-Validation provides us a way to find the \"hyperparameters\" of our model, such that we achieve the balance point.\n", "\n", "Read http://scott.fortmann-roe.com/docs/BiasVariance.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import brewer2mpl\n", "from matplotlib import rcParams\n", "\n", "#colorbrewer2 Dark2 qualitative color table\n", "dark2_cmap = brewer2mpl.get_map('Dark2', 'Qualitative', 7)\n", "dark2_colors = dark2_cmap.mpl_colors\n", "\n", "rcParams['figure.figsize'] = (10, 6)\n", "rcParams['figure.dpi'] = 150\n", "rcParams['axes.color_cycle'] = dark2_colors\n", "rcParams['lines.linewidth'] = 2\n", "rcParams['axes.facecolor'] = 'white'\n", "rcParams['font.size'] = 14\n", "rcParams['patch.edgecolor'] = 'white'\n", "rcParams['patch.facecolor'] = dark2_colors[0]\n", "rcParams['font.family'] = 'StixGeneral'\n", "\n", "\n", "def remove_border(axes=None, top=False, right=False, left=True, bottom=True):\n", " \"\"\"\n", " Minimize chartjunk by stripping out unnecesasry plot borders and axis ticks\n", " \n", " The top/right/left/bottom keywords toggle whether the corresponding plot border is drawn\n", " \"\"\"\n", " ax = axes or plt.gca()\n", " ax.spines['top'].set_visible(top)\n", " ax.spines['right'].set_visible(right)\n", " ax.spines['left'].set_visible(left)\n", " ax.spines['bottom'].set_visible(bottom)\n", " \n", " #turn off all ticks\n", " ax.yaxis.set_ticks_position('none')\n", " ax.xaxis.set_ticks_position('none')\n", " \n", " #now re-enable visibles\n", " if top:\n", " ax.xaxis.tick_top()\n", " if bottom:\n", " ax.xaxis.tick_bottom()\n", " if left:\n", " ax.yaxis.tick_left()\n", " if right:\n", " ax.yaxis.tick_right()\n", " \n", "pd.set_option('display.width', 500)\n", "pd.set_option('display.max_columns', 100)\n", "import warnings\n", "warnings.filterwarnings('ignore', message='Polyfit*')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "import random\n", "import copy\n", "def scatter_by(df, scatterx, scattery, by=None, figure=None, axes=None, colorscale=dark2_cmap, labeler={}, mfunc=None, setupfunc=None, mms=8):\n", " cs=copy.deepcopy(colorscale.mpl_colors)\n", " if not figure:\n", " figure=plt.figure(figsize=(8,8))\n", " if not axes:\n", " axes=figure.gca()\n", " x=df[scatterx]\n", " y=df[scattery]\n", " if not by:\n", " col=random.choice(cs)\n", " axes.scatter(x, y, cmap=colorscale, c=col)\n", " if setupfunc:\n", " axeslist=setupfunc(axes, figure)\n", " else:\n", " axeslist=[axes]\n", " if mfunc:\n", " mfunc(axeslist,x,y,color=col, mms=mms)\n", " else:\n", " cs=list(np.linspace(0,1,len(df.groupby(by))))\n", " xlimsd={}\n", " ylimsd={}\n", " xs={}\n", " ys={}\n", " cold={}\n", " for k,g in df.groupby(by):\n", " col=cs.pop()\n", " x=g[scatterx]\n", " y=g[scattery]\n", " xs[k]=x\n", " ys[k]=y\n", " c=colorscale.mpl_colormap(col)\n", " cold[k]=c\n", " axes.scatter(x, y, c=c, label=labeler.get(k,k), s=40, alpha=0.3);\n", " xlimsd[k]=axes.get_xlim()\n", " ylimsd[k]=axes.get_ylim()\n", " xlims=[min([xlimsd[k][0] for k in xlimsd.keys()]), max([xlimsd[k][1] for k in xlimsd.keys()])]\n", " ylims=[min([ylimsd[k][0] for k in ylimsd.keys()]), max([ylimsd[k][1] for k in ylimsd.keys()])]\n", " axes.set_xlim(xlims)\n", " axes.set_ylim(ylims)\n", " if setupfunc:\n", " axeslist=setupfunc(axes, figure)\n", " else:\n", " axeslist=[axes]\n", " if mfunc:\n", " for k in xs.keys():\n", " mfunc(axeslist,xs[k],ys[k],color=cold[k], mms=mms);\n", " axes.set_xlabel(scatterx);\n", " axes.set_ylabel(scattery);\n", " \n", " return axes\n", "\n", "def make_rug(axeslist, x, y, color='b', mms=8):\n", " axes=axeslist[0]\n", " zerosx1=np.zeros(len(x))\n", " zerosx2=np.zeros(len(x))\n", " xlims=axes.get_xlim()\n", " ylims=axes.get_ylim()\n", " zerosx1.fill(ylims[1])\n", " zerosx2.fill(xlims[1])\n", " axes.plot(x, zerosx1, marker='|', color=color, ms=mms)\n", " axes.plot(zerosx2, y, marker='_', color=color, ms=mms)\n", " axes.set_xlim(xlims)\n", " axes.set_ylim(ylims)\n", " return axes" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In any learning problem, or goal is **to minimize the prediction error on the test set**. This prediction error could be a root mean square error, or a 1-0 loss function, or a log likelyhood, or something else." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Polynomial regression\n", "\n", "This part of the lab is partly taken from\n", "\n", "http://raw.github.com/jakevdp/sklearn_pycon2013/master/notebooks/09_validation_and_testing.ipynb. Images are taken from Andrew Ng's Coursera course, on which the above notebook is based." ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(42)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the model selection problem: what degree of polynomial you want to fit: `d`. It acts like a hyperparameter, in the sense that it is a second parameter that needs to be fit for. Once you set it, you still have to fit the parameters of your linear or polynomial or elsewise model." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def rmse(p,x,y):\n", " yfit = np.polyval(p, x)\n", " return np.sqrt(np.mean((y - yfit) ** 2))\n", "\n", "def generate_curve(x, sigma):\n", " return np.random.normal(10 - 1. / (x + 0.1), sigma)\n", "x = 10 ** np.linspace(-2, 0, 8)\n", "intrinsic_error=1.\n", "y=generate_curve(x, intrinsic_error)\n", "plt.scatter(x,y)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlQAAAFxCAYAAAC1ETYxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFFtt0F4AAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "A high bias situation is one in which we underfit. Notice how for low d, the `rmse` on the training set remains high. A high variance situation is one in which we overfit. We want to be just right. As we get to the limit of being able to interpolate the points, the rmse training error goes to nil." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x_new=np.linspace(-0.2, 1.2, 1000)\n", "plt.scatter(x,y, s=50)\n", "f1=np.polyfit(x,y,1)\n", "plt.plot(x_new,np.polyval(f1,x_new))\n", "print \"d=1, rmse=\",rmse(f1,x,y)\n", "f2=np.polyfit(x,y,2)\n", "plt.plot(x_new,np.polyval(f2,x_new))\n", "print \"d=2, rmse=\",rmse(f2,x,y)\n", "f4=np.polyfit(x,y,4)\n", "plt.plot(x_new,np.polyval(f4,x_new))\n", "print \"d=4, rmse=\",rmse(f4,x,y)\n", "f6=np.polyfit(x,y,6)\n", "plt.plot(x_new,np.polyval(f6,x_new))\n", "print \"d=6, rmse=\",rmse(f6,x,y)\n", "plt.xlim(-0.2, 1.2)\n", "plt.ylim(-1, 12)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "d=1, rmse= 1.70524942832\n", "d=2, rmse= 0.89214139212\n", "d=4, rmse= 0.496552676012\n", "d=6, rmse= 0.132980700607\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "(-1, 12)" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAFxCAYAAACBaPctAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNp1n5VXzAAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The curves start taking on all kinds of wiggles so as to be able to fit themselves in." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Constructing a data set" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 200\n", "x = np.random.random(N)\n", "y = generate_curve(x, intrinsic_error)\n", "plt.scatter(x,y)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAFxCAYAAABeJo0yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.cross_validation import train_test_split\n", "xtrain, xtest, ytrain, ytest = train_test_split(x, y, train_size=0.6)\n", "plt.scatter(xtrain, ytrain, color='red')\n", "plt.scatter(xtest, ytest, color='blue')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAFxCAYAAABeJo0yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERG50f8A1StZe5KZMFYAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "ds = np.arange(21)\n", "train_err = np.zeros(len(ds))\n", "test_err = np.zeros(len(ds))\n", "\n", "for i, d in enumerate(ds):\n", " p = np.polyfit(xtrain, ytrain, d)\n", "\n", " train_err[i] = rmse(p, xtrain, ytrain)\n", " test_err[i] = rmse(p, xtest, ytest)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(ds, test_err, lw=2, label = 'test error')\n", "ax.plot(ds, train_err, lw=2, label = 'training error')\n", "ax.legend(loc=0)\n", "ax.set_xlabel('degree of fit')\n", "ax.set_ylabel('rms error')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAGFCAYAAABT4e8GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngYyIiIjIz/4fFzF6wQSjGrMAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How to tell that a hypothesis is overfitting? Its not enough that the training error is low, though thats certainly an indication.\n", "\n", "The training error is low but test error is high!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we plot training error against, say, d, the training error will decrease with increasing d. But for the cross-validation (or for that matter, test error), we'll have an error curve which has a minumum and goes up again.\n", "\n", "![polynomial regression](files/data/bias-variance-error.png)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the word test and cv interchangeably here, but they really are not, as will be clear soon." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Learning Curves\n", "\n", "Here we plot the train vs cv/test error as a function of the size of the training set.\n", "\n", "The training set error increases as size of the data set increases. The intuition is that with more samples, you get further away from the interpolation limit. The cross validation error on the otherhand will decrease as **training set** size increases, as , more\n", "data you have better the hypothesis you fit.\n", "\n", "**High Bias**\n", "\n", "Now consider the high bias situation. The training error will increase as before, to a point, and then flatten out. (There is only so much you can do to make a straight line fit a quadratic curve). The cv/test error, on the other hand will decrease, but then, it too will flatten out. These will be very close to each other, and after a point, getting more training data will not help!\n", "\n", "![Learning Curve under high bias situation](files/data/lc-hb.png)\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#taken lock stock and barrel from Vanderplas.\n", "def plot_learning_curve(d):\n", " sizes = np.linspace(2, N, 50).astype(int)\n", " train_err = np.zeros(sizes.shape)\n", " crossval_err = np.zeros(sizes.shape)\n", "\n", " for i, size in enumerate(sizes):\n", " # Train on only the first `size` points\n", " p = np.polyfit(xtrain[:size], ytrain[:size], d)\n", " \n", " # Validation error is on the *entire* validation set\n", " crossval_err[i] = rmse(p, xtest, ytest)\n", " \n", " # Training error is on only the points used for training\n", " train_err[i] = rmse(p, xtrain[:size], ytrain[:size])\n", "\n", " fig, ax = plt.subplots()\n", " ax.plot(sizes, crossval_err, lw=2, label='validation error')\n", " ax.plot(sizes, train_err, lw=2, label='training error')\n", " ax.plot([0, N], [intrinsic_error, intrinsic_error], '--k', label='intrinsic error')\n", "\n", " ax.set_xlabel('training set size')\n", " ax.set_ylabel('rms error')\n", " \n", " ax.legend(loc=0)\n", " \n", " ax.set_xlim(0, 99)\n", "\n", " ax.set_title('d = %i' % d)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_learning_curve(d=1)\n", "plt.ylim(0, 10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "(0, 10)" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAGTCAYAAAAbYwcIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "At the point of balance the learning curves come together and carry on, close to the intrinsic error." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_learning_curve(d=5)\n", "plt.ylim(0, 10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "(0, 10)" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAGTCAYAAAAbYwcIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlcVOX+B/DPmY0dAREVFcUEwS5qiguZS1qWlvXL3DIt\ns67mknUrb9m9mkt2b9lFy6XSyiU1lyzLLMsN0zJ3TBEFRVQUQWURhmXW3x8wIySjAsPMPGc+79fL\nV8yZmXOe8ePLvj7n+zwjmc1mM4iIiIjIrhTOHgARERGRHLHIIiIiIqoDLLKIiIiI6gCLLCIiIqI6\nwCKLiIiIqA6wyCIiIiKqAyyyiEgYWVlZWLZsGX744QdnDwU6nQ5JSUnOHgYRuTAWWUQkhL179+Kp\np57C6NGjcfjwYYdeW6fToVmzZlAoFNZfnp6eyM/Pd+g4iEgsKmcPgIjoTsTFxeHf//43EhISHH7t\nZcuWoX379njqqaesxxo0aIB7773X4WMhInGwyCIiYSgUjp98NxqNWLJkCXbs2AE/Pz+HX5+IxMXb\nhUREt7B69WqcOXMGY8eOxSeffILMzExnD4mIBMGZLCJyWVu3bsWCBQvQrFkzKJVKqNXqO3pfYWHh\nHV9DoVDA29vb5vPbtm2Dh4cH1qxZgzVr1mDSpEl48803MXPmzDu+BhG5JxZZROSSvvvuO0yYMAH7\n9+9HaGgoAGDs2LF39F5/f/87vk6LFi2QlpZm8/nly5cDADIyMrBs2TLMmTMH77zzDoxGI2bPnn3H\n1yEi9yOZzWazswdBRFRRUVERWrRogQkTJuDtt9+2Ht+2bRv69u2L6dOnY9q0aTbf//vvv9/xtTw9\nPdGhQ4c7fn16ejp69eqFzMxMnD171loAEhH9FWeyiMjlbNmyBVevXkX79u0rHVep7uyvrLpc9dei\nRQvEx8dj0KBBOHLkCIssIrKJRRYRuZyUlBQAgEajqdH78/Ly7vi1CoWiWrcXAeCBBx4AAJSUlFTr\nfUTkXlhkEZHLsTS4nzlzpkbvDwoKuuPX3q4nqyqlpaUAgIiIiGq9j4jcC4ssInI5Xbt2BQCsWLEC\nEydOtB63tJCaTKZbvn/Pnj13fC1PT89qj+/7779Hx44d0bZt22q/l4jcB4ssInI53bp1wwMPPIBt\n27Zh0qRJmDJlCkpKSrBo0SIAZVs73Hfffdbbdn9lr56spUuXYsqUKXjqqacwa9Ys+Pr64sCBA/j0\n00+xZs0au1yDiOSrzlYXlpSUQKfTVbvXgYgIALRaLV5//XV8/fXXKCoqwoMPPoihQ4di4cKFGDZs\nGAYPHoyGDRvW6RiOHz+OsWPHIjExEY0bN0avXr0QHR2NMWPGcPd3IrotuxdZZrMZy5cvx7Rp07B0\n6VL06dMHAHDx4kXMnj0bbdu2xd69e/HPf/4Td999tz0vTUREROQy7P61OlevXsUDDzyAjIwMSJIE\noKzweuyxxzBw4EC8+OKLePPNNzFgwAAYjUZ7X56IiIjIJdi9yGrQoAGaNm1a6di2bduQnJyMXr16\nAQCio6OhVquxceNGe1+eiIiIyCU45Auif/vtN7Rs2bLSRoKRkZHYsWOHIy5PRERE5HAOWV14+fLl\nmxrg69Wrh4yMjJteu337dkcMiYiIiMguLP3nf+WQIkulUlk3F7S41T43tgZrDzqjAS1X/BtKSYH0\nZ2db+8ZcSezad3G56Dr2D3kToT4Bzh5OtU2fPh3Tp0939jCoFpih+Jih2JifOG41OeSQ24WhoaHI\nz8+vdCwvLw9NmjRxxOUr0erLdmr2VXu4ZIEFlI0NAArLxyqa9PR0Zw+BaokZio8Zio35yYNDiqxe\nvXrd9LUVp06dsjbCO1KhXgcA8FHX7DvRHMFaZOnELLKIiIiojoosy61AyxZccXFxaN68OXbu3AkA\nOHnyJIqKijBgwIC6uPwtFVaYyXJVvuqyr/kQdSZr1KhRzh4C1RIzFB8zFBvzkwe792RduXIFS5Ys\ngSRJWL16NZo0aYKoqCh89913mDlzJpKTk7F//3788MMP8PLysvflb6vIUFa4+Lh0kWW5XVji5JHU\njDNmKMm+mKH4mKHYmJ881Mk+WW+99RaMRiM+//xzREVFAQBatmyJZcuWYfz48Vi2bBk6duxo70vf\nEcvskI9KhCJL5+SR1ExCQoKzh0C1xAzFxwzFxvzkwSE9Wa5EK8TtQrFnsoiIiMgNiywhGt81Yq8u\n5DS3+Jih+Jih2JifPDhknyxXIkbje9nYCgQtsoiIastkMuHSpUvQ6cRsmyDxmc1mNGnSBJ6enjU+\nh9sVWWI0vpcFqhW0yEpISOC/wgTHDMUncobFxcU4f/48mjVrBm9vb2cPh9yUyWTC6dOnERYWVuNC\nyw1vF4pQZJXPZOnYk0VE7iczMxOtWrVigUVOpVAo0KpVK1y8eLHm57DjeIRgbXwXYHWhqDNZov7r\nmW5ghuITPUOlUunsIRBBoVDU6tth3K7IEqLxnT1ZREREwnPDIkucxndRZ7K4v4v4mKH4mCGR87ld\nkVUkUk+WoEUWERERuWGRJUTju0bs1YWi94IQM5QDZig/q1atwvDhwzFw4EDrsQMHDqBBgwbIzMys\n8j0nTpzAP/7xD7Ro0aLG1/32228RFhbG7TRqwO2KLK1BnNuFBdzxnYiIyg0dOhTZ2dnIy8uzHgsO\nDkbXrl1tbjHQpk0bhISE4Pz583d8nby8PBQUFFgfN2nSBF26dIFC4XYlQ6253e+YCI3v3io1JEgo\nNuhhNJmcPZxqYy+I+Jih+Jih/KhUKjRt2hRms9l6LDw8HJs2bUJgYKDN9zVu3Lha13n55ZeRm5tr\nfdy5c2esX78eKpXbba1Za25YZLn+TJZCUliLQFG/WoeIiBzHZKd/kK9YsQJffvllpUIOKNv9/K/H\n6Pbcriy1Nr678D5ZQFkRWKgvhdZQinoeXs4eTrWwF0R8zFB87pJh06VvOuQ6Gc/9t9bn+PXXX/HE\nE0/AbDYjISEBbdu2xaVLlzBo0CB06tQJH374Ia5fv44333wTMTExOHHiBHQ6HRYuXFjlLFJ+fj4+\n//xzLF26FAsWLEDPnj0BANevX8drr72GgIAA+Pn54cSJE5Xed/HiRcyYMQOxsbHYu3cvmjZtilmz\nZqGgoABbtmwBALz77ruIjo7GsGHDsHjxYixfvhw7d+5EWFgYAODUqVOIj49HaGgojh49CqVSiXnz\n5qFJkyZISkrCokWLcOrUKUydOhWTJk3ChQsXMGXKFEyePNnm709CQgI2bNiAq1ev4ujRo5gyZQpG\njhyJU6dOYenSpTh37hwGDhyIsWPH4oUXXkDHjh3x2Wef4dVXX8XcuXORmJiI5ORk+Pv7Y8aMGTAa\njSguLsa+ffswZcoUPPbYYygoKMDatWvx+eefY968eZgwYQJyc3ORmppaJ7dD3arI0hkN0JmMUEoK\neChd+6Pf2PW9FPBx8mCIiKjWevTogTfeeANTp061NqKHhoaiRYsW+OCDDwAAb7/9Nk6fPo1FixbB\nbDajfv366N69O0aMGHHT+dRqNdq0aYOkpCTrhplmsxkDBw7EkCFDMGbMGADAxIkTK71v4sSJaNCg\nAcaMGYPBgwejfv36ePjhh9GtWzeMGTMGa9aswb/+9S+EhYXh+vXraNy4Mc6ePWt9f2ZmJnr27Int\n27fj7rvvBlDWL9azZ08cPXoU0dHRkCQJR44cwenTp3Hw4EF89NFHmDJlCkaPHo369evf9FnOnj2L\npUuXYvny5QCAOXPmYNSoUejQoQP8/f3x22+/4eLFi3j66acxY8YMBAUFQaVSYfv27bjrrrswe/Zs\nfPbZZ/D29sZzzz2HJk2a4L333gMA/PjjjxgwYAA2bdqEuLg4aLVa7Nu3D1u2bEF8fDy+/vrrOus3\nc+1Kw860FW4V1mYHV0cQ+fsLRf7ONCrDDMXnLhnaY4bJkf7+979j+vTpWLVqFcaNG4eLFy+iadOm\nUKvVAIB+/fohLi4OQNktQB8fH6Snp1d5Lm9vb0RFRVU69vPPPyMhIQGbN2+2HouNja30msGDB6NR\no0bWcwBlRU63bt1uuoa/vz8iIiIqHVu4cCGCgoKsBRYATJs2DTExMVixYgXGjRuH4OBg+Pv74/nn\nnwcADBgwAJMnT8bp06erLLLee+89XLlyBVOmTAFQNkvXrVs3nDt3Dv3798ddd90Fo9GIRx991Poe\ny+/LwIED0alTJ3Tq1AmpqalYvXo1/vjjD+vr+vfvjw4dOmDGjBnYt28f2rVrBwB46qmnEBkZiR49\nelT122sXblVkidD0bsEVhkRE8hMYGIjBgwfj888/x7hx47By5Uo899xz1uf79u2L/Px8LFiwAJIk\nwWAwVKvfavv27QgKCoKHh+2WmOHDh+Py5cuYO3cu/Pz8AFSvp+vQoUPw8al8i6VNmzbQaDRITEys\n8j0aTdn/d0tLq544SExMxAsvvIAXXnjB5nVtfaaKKysPHz4MADeNr3379lixYoXN99UVt2p8F6Hp\n3cJPI+6u7+7wr2e5Y4biY4au68UXX8Thw4fx559/IiUlBdHR0dbn9u7di549e+Kxxx7DhAkTql0I\nFBYW4vr167d8zcaNGzFw4ECMGjXqlkWNLUqlEhcuXKh0TJIkBAUFWWfkqquoqAhpaWk3Ha/u3lyW\n77zMyMiodDw4OLjGY6sNtyqyigyuvxGphaUxn7u+ExHJS1xcHNq2bYuXXnoJ9957b6XnRo0ahd69\ne1sbzKuaYbpVu0urVq2g0+kq3S6rqKSkBM8++yyGDRuGwMDAm85fsbfrVuPPzs7G6dOnrcf0ej2u\nXr160+e5UxEREVi1ahWKi4utxwoLC/HJJ5/cNLZbsezntWfPnkrHL126VOOx1YZbFVmFgqwsBMSe\nyeL+POJjhuJjhq5t7NixOHz4MIYNG1bpeGZmJhITE1FSUoKff/4ZOTk5uHTpEq5duwYAMBgMMBgM\n1tfr9XoAN2Z8RowYAR8fH0yaNAlZWVkwGAzYuXMnAGDHjh3Iz89HQUEBDh48CL1ej1WrVkGhUFiv\nERQUBABITk5GamoqCgsLb7rGuHHjEBoaivfff986jrVr1yImJgZDhgyxjrNioWZ5r9ForPL3Y8KE\nCbhw4QL69euHrVu3YvPmzRg+fDgGDRoEoKzYtIzDwlIgVjzerFkzvPDCC1i8eLF109b8/Hz88ssv\nmDFjhs331RW3KrK0At0u9OH3FxIRydbTTz+N8ePH39Q7NG3aNBw8eBDt27dHUVERnn/+eXz77bfY\nsmULvvnmG+zYsQPHjx/H2rVrcf78eWvv1meffYYzZ86gYcOG+OWXXwAAd911Fx599FG0bt0aAwYM\nQF5eHho0aIBJkyZhw4YN6NKlC8LDwzFgwAAsWrQIiYmJiImJQd++fTFy5Ehs3LgRGRkZWLZsGSRJ\nwocffojLly8jKCgIv/76KzIzMzFixAi8/fbb+OOPP7B161aoVCqcOHECP/74IzIzM7FixQoUFBQg\nPj4ekiRhxYoVyMnJuen3o3fv3li0aBHOnj2LJ554AvHx8Zg9ezZCQ0OxadMmJCQk4OjRo1ixYgW0\nWi2ysrIwZ84cSJKETz/9FAcPHrSea+HChRgzZgwGDhyIqVOn4vXXX8eaNWsQFxeHtLQ0LFq0CJIk\nIT4+HsnJyXWas2R2sd3Ftm/fjj59+tTJudelHsKre9bjybvuwYc9htbJNexl4Z8J+M+hLRgX0xP/\niu3n7OEQETlMWloaWrZs6exhEAG4/Z/HW9UtbjWTJVLju2Umq1DH1YVEREQicqsiS6TGdz9LkSXg\n7UL2goiPGYqPGRI5n1sVWdbGdwGKLB+BiywiIiJysyLL2vguwupCgYss7s8jPmYoPmZI5HxuVWSJ\ntOM7Z7KIiIjE5mZFljiN736asl1+RSyy2AsiPmYoPmZI5HxuVWQVCdmTxdWFREREInKrIkukxnf2\nZJEzMUPxMUMi53OrIktrEOd2obdKAwkSig16GExVfw0BERERuS63KrJEanyXJAm+5ePU6qv3LeTO\nxl4Q8TFD8TFDIudzsyJLnJksgCsMiYiIROZWRZa18V2AfbIAwE8t5gpD9oKIjxmKjxnK18WLFxEc\nHIxDhw7d8XsOHDiABg0aIDMzsw5HRn/lNkWWzmiAzmSESlLAQ6ly9nDuCFcYEhHJz7lz52r1fj8/\nP8TFxaFevXp3/J7g4GB07doVnp6etbo2VY/bFFnaCisLJUly8mjujJ9GzNuF7AURHzMUHzN0TTt3\n7sTy5ctrdQ5/f39s2rQJrVq1uuP3hIeHY9OmTQgMDKzVtal63KbIEqnp3cKXPVlERLJx8eJFPPPM\nMzCbzXY5n8lkcsh7qObcqMgSq+kdAHzZk0VOwgzFxwxdz08//YSCggL88ssvmDx5MjIzM7FmzRr0\n7dsXP/30E/r27YuQkBBcu3YNSUlJGDduHBYvXozBgwfj448/BgCUlJRg8eLF6Nq1K1auXAkA2Lt3\nL5599lmMHDkSX3/9NSIjIxESEoLVq1cDAPLz8xEfH4+YmBjs3r0bALBlyxYMGjQIb7zxBhYuXIhm\nzZqhWbNm2LFjR6Uxb926Fa+88grGjBkDhUIBPz8/DBw4EJcuXaryM/755594+eWX8cwzzyA6Ohof\nfPABAODChQt455130Lt3b+zevRuhoaF45plnsHnzZgwcOBArVqzAiBEjEBAQgKSkJJjNZsTHx+PV\nV1/FP//5T8TFxeHzzz8HAJSWltr8fXM1YjQn2UGRQZyNSC0sWzgU6sQqsoiIHCVllNIh14lcVvv9\nCl944QXMnj0bDz30EKZNm4bCwkKo1Wps27YNLVu2xOzZs/HZZ5/B29sbI0aMwODBgzFmzBh06tQJ\nnTp1wqOPPoqGDRuiW7duePHFFzF+/HgAQJcuXTB79mwcP34c//d//4cTJ07g1VdfxUsvvYThw4dD\nrVajTZs2SEpKsrbL9O3bF5MnT8bJkyfx0Ucf4ezZsxg8eDBee+01HDlyBEBZ79jw4cORkZEBDw8P\nGI1GrFq1CmvXroVarb7p8+Xn5+Pf//43vv/+ewDA+vXrMXToULRp0wYdOnTA8ePHcfToUZw/fx4f\nfPABcnNzERQUhI0bN0KSJLz11luoV68eAgMDMXXqVKSkpGDdunUAgGPHjuGee+6BTqfDyJEjoVKp\nqvx9czWcyXJh1pksg1hFFntBxMcMxccMXZ+vry86duwIABg4cCA6deqETz/9FF5eXnj++efRv39/\nAIC3tzdMJhPOnTsHjUaDu+++u9J5FAoFgoOD0bJlSzz55JNQqVR49NFHkZubi6ysLHh7eyMqKqrK\n93Tu3Bm9e/eGSqVCv379kJycbH3N5s2bodFo4OFR9v/NYcOGQafTIS8vr8rP8/HHH+PatWuYMmUK\npkyZgr179+K+++7D5cuX0ahRI0RFRUGj0eDpp5/G8OHDMWHCBMTFxQEAHnroIXTs2BELFy6Ev78/\n4uPjMWjQIOu5Y2Ji8MQTT2DmzJnw9fVFbGxslb9vrsZtZrK0gm3fAFToydJxdSERUVXsMcPkCv66\n6m/ixIk4c+YMPvjgA2sf1e36qSr2emk0ZXdCSkvv/B/pGo0GOt2Nza/1ej2ys7NRVFQEb29vNGvW\nDD4+PmjQoEGV7z9y5Ajuv/9+vPPOOzavYWt1Y8XjSUlJKCkpgY+PT6XXtG/fHhs2bKi0DYWrr5Z0\no5ksNr47CntBxMcMxccMxfbxxx9j0qRJmDhxIoYMGeKUMQwaNAj+/v745JNPAJTdsnv99ddtvr64\nuBhpaWk3Ha9YuN0JpbLsFnBGRkal48HBwQBQ5a1KV+VGRZaItwvFLLKIiKhqkiTddnVhRkYGXnrp\nJYwdOxaenp53vCLQ3tsTNWnSBF9++SV27tyJ//73v9DpdHj77bdtvj4iIgI//PADLl++bD1mMBgw\nb968al337rvvhq+vL/bs2VPp+KVLl9CqVStrsSUCtymyhGx814i5upC9IOJjhuJjhq4pKCgIycnJ\nMBgMOHbsmLWA0uv11tdkZWXBZDJh//79KC0txfr16wGUbQGRk5NjfW3FGSKDwVCpGLM8ZzQaK53/\nr7cDq3qPpQj8448/8NFHH2H48OEIDw+HSqWyrk6sytixY1FcXIyHHnoImzZtwrZt2zBs2DA89NBD\nAMpudxoMhkrvqerze3l54a233sL69euRnp5uHduGDRvw7rvv2nyfK3KbniwhZ7JU5asLBSuyiIio\nahMmTMDLL7+MgQMH4uOPP8asWbMgSRI+/fRT1KtXD7GxsejQoQOefPJJxMfHY/fu3Vi4cCHWrVuH\nmTNnIiIiAj///DMA4KuvvkKnTp1QUlKC3bt3Q6vVYvPmzYiNjcXixYshSRI++eQTTJgwAQsWLIAk\nSfjss88QHh6O1NRUHDt2DFlZWdizZw9CQ0OxatUqSJKEuXPn4tVXX4W3tzcuXLiAf/3rX7h8+TJK\nSsr6g8eOHWvdUqKiyMhIrF27FlOmTMHQoUPRtm1bvP/++2jXrh12796NjRs3IjMzEwsXLsSQIUPg\n5eWF9957DwCwcuVKtGrVCj179gQAvPnmm/Dy8sLIkSPRvXt35OTkYMaMGXjyySeRlZWFOXPm3PT7\n5ooks712RbOT7du3o0+fPnY/79Q/vsPS5L2Y0XkAnr+7m93PXxeOXs3AI5sWIKZ+E/z02EvOHg4R\nkUOkpaWhZcuWzh6G2/vwww8RExOD3r17W49lZWVh0qRJWLt2rRNH5li3+/N4q7rFjWayxG18L+B3\nFxIRkQNlZGTgnXfewZUrVyodb9iwIbp06eKkUYnHbXqyRLxdaOkf0wp2u5C9IOJjhuJjhlQber0e\nubm5mD17NrKyslBaWoqUlBTMmDEDPXr0cPbwhOE2RVaRXrzGdz/LTBZ3fCciIgcKDw/Hhg0bsGHD\nBrRo0QJhYWGYNWsWhg8f7rL9T67IjW4XijeT5a3SQIKEEqMeBpMRKoVjvj6itrg/j/iYofiYIdXW\n448/jscff9zZwxCa28xkaQXcwkGSJOv3F2r11dvMjYiIiJzLbYosERvfgRtFoUjbOLAXRHzMUHzM\nkMj53KjIEu92IQD4qcXckJSIiMjduU2RVSTgF0QDFWeyxNnGgb0g4mOG4mOGRM7nFkWWzmiAzmSE\nSlLAQylWr7+fRrzbhUREROQmRZa2wvYN9v4Czbom4pdEsxdEfMxQfMyQyPkcPq2zZ88e/PLLLwgK\nCsLBgwcxdepUtG7duk6vKWrTOwD4sieLiIhISA4tsoxGI0aNGoWUlBQoFArs2rULEydOxNatW+v0\nuqI2vQOwbuFQKNCGpOwFER8zFB8zJHI+h94uzMnJwaVLl1BUVAQACAgIQG5ubp1fV8Q9siysM1kG\ncYosIiKq2quvvoqBAwe6/LkPHDiABg0aIDMz0y7nc1cOLbIaNGiAjh074plnnsH169cxf/58zJo1\nq86vqxV6Jqu8J0snzupC9oKIjxmKjxm6pqioKMTExFT7fefPn6+zc1clODgYXbt2haenp13O564c\n3pO1fv169O7dG6GhoViyZAn69et302tGjRqFFi1aACib7Wrfvr116tvyF0d1Hv9xOQ1A2fYNNXm/\nMx9nHElC6cnzKGxd6hLjuZPHiYmJLjUePq7+YwtXGQ8fu9fjsLAwyNWYMWOq/Z6lS5dCoVDg2Wef\ntfu5bQkPD8emTZvsdj45qPj3Y0JCAtLT0wEAI0eOtPkeyWw2m+t4XJUkJibiiy++wOXLl/Hdd99h\n5cqVGDx4sPX57du3o0+fPna95rrUQ3h1z3o8edc9+LDHULueu65tOH0YL+9ehydatsf8nsOcPRwi\nojqXlpaGli1bOnsYdcZoNEKpvLPvoj1+/Djuu+8+fPjhh7ctsqp77jthMpmgULjFRgQ23e7P463q\nFof+zhUVFaFfv36YNm0a1q1bh8mTJ+P555/H9evX6/S6Qje+a7i6kIjoViRJqvKXvV5vL0ePHsW4\nceMQGxsLACgsLER8fDxiY2Oxbds2PPXUU/D398eDDz6IgoICAMBPP/2E69evY+3atZg8eTIKCgrw\n2WefIS4uDvv27UNsbCzuuusuHDp0qNrnBoD//e9/WLRoEWbNmgU/Pz9cv34d+fn5iI+PR0xMDHbv\n3m19bVZWFt566y3MmjULTzzxBF5++WXo9Xqbn/fTTz/Fyy+/jIcffhhdunTBwYMHAQA7d+7EM888\ngzlz5mDy5Mnw8/PDypUrMW/ePMTExCA5ORkRERHo2bMnACAzMxPjxo3DzJkzMXLkSDz88MM4ceIE\nAODChQt455130Lt3b+zevRuhoaF3VIw6ikOLrOPHj8NkMiE4OBgAMGPGDCgUCqSmptbpdSvukyUa\nX1X56kKBiqy/3nIi8TBD8TFD19OsWTMUFxcjPz8fAODj44OePXvi8OHDWL16NebOnYtjx47hjz/+\nwBdffAEAmDx5MgBg2LBhmDNnDgwGA7RaLfbt24ctW7YgPj4ejzzyCMLDw6t97rS0NKxevRrjx4/H\n1KlTMXPmTJjNZqjVarRp0wZJSUnW4rOwsBD9+/fHhAkTMHXqVLz33nuYP38+li9fXuVnXb16NUwm\nEz788ENs2bIFwcHBePzxx2E0GhEcHIzvvvsOP/74IwYNGoSxY8ciLCwMGRkZSEpKwp49ezBv3jzc\nf//9KCoqQq9evfDYY49h2rRp+PLLL9G2bVv06NEDFy9ehFqtxvHjx3H06FGcP38ec+bMQefOnes0\nx+pwaE9WREQEdDodMjMz0bhxY+h0Onh7eyMyMrJOr2tZXciZLCIi+alu14uDu2SsgoKC0KJFC+za\ntQtA2Yxa/fr1AZT1Ijdq1AgA0LZtWyQnJ1d5jsDAQLRr1w4A8NRTTyEyMhI9evQAgDs+98mTJwEA\npaWlOHbsGL777js8/vjjeO655+Dj4wOVSoWoqKhK1128eDFiYmLQpEkTAEBkZCS+/vprdOvWrcpx\nzpw5E7169cKUKVMAlPVX33XXXcjOzkZMTAyCgoIQFxeHLl26oEuXLgDKij4AePbZZ6HRaPDII4/g\ns88+w4WsyioFAAAgAElEQVQLFyr1b7/55pv46KOP8NFHH+G9995DVFQUdu3ahaeffvoOUnAshxZZ\ngYGB+Prrr/Haa68hNjYWFy5cwMqVK+Hn51en19UK+r2FwI3CsIDfXUgOxAzFxwzFpdFooNPpbvu6\nmqz802g0KC0t+39idHQ0nnvuOTzxxBMYMWIE5s6dC5Wq6rJg9+7diI6OrnTM1nYRRUVFSE1NxQ8/\n/IBWrVpVe/wazY2Nww8dOgRvb+9KzwcFBSEsLAyJiYm3PZezOXx1YZ8+feze2H47Yu/4XlZkaTmT\nRUREdvbpp5+iQ4cOeOutt7Bt2zbs2rULERERN73OYDBYV9PdTnFxMcxmM9LS0m4qsnQ6XaUi6naU\nSiVycnJQWloKD48bEyX169eHWq2+4/M4i1ssGRC68d0ykyXQju/sBREfMxQfM5SXurjFeezYMWRn\nZ2Ps2LE4ceIE/P39sWjRoipfGx0dje+//77S5qQGgwE//PDDTa+tX78+goKCsHjx4krHjx49Wu1v\neImLiwNQ9pV8FV26dAn33ntvtc7lDG5RZInc+O6t0kCChBKjHgaT0dnDISKiWtDr9ZVW5BkMBgBl\nWyVYlJaWwmi88fd9UFAQkpOTodVqkZKSYn3tX1f2Vffc165dszauN2zYEP369bP2XFnOY7ltOX78\neBiNRnTv3h1Lly7F999/j1GjRtlsMh8/fjy++eYbvPjii9i9ezdWrFiB2bNn45FHHgFQttXEX8dv\nGWfFzz548GDExMRgzpw51mOWgmv8+PHW91k+q6tRTp8+fbqzB1HR2bNn7b4/yoqTfyCzKB/PRHVF\nE98Au567rkmShCVJu6EzGfHC3ffBU+X606OWjWRJXMxQfCJnmJubi8DAQGcPw+527dqF+fPnIy0t\nDSEhIYiMjMT777+P/fv3Q5IkdO7cGTt27MCiRYuQm5uLe++9F6GhoSgpKcG8efNw9uxZxMXF4f33\n38fJkyeh1+vRsmVLNGjQoEbn1uv1eOGFF1BUVISTJ08iOzsb06ZNw8WLF/HRRx9h//79KC0txT33\n3IOWLVuic+fO2L59O1avXo2MjAz85z//sfnn7L777kNOTg7WrFmDdevWQa1WY/78+dBoNJg/fz42\nbNiAnJwchIWFITIyEkePHsX777+P8+fPQ5IkhIeHIyAgAEqlEoMGDcKvv/6KlStXIjk5Gb///juW\nLl2Khg0bYvfu3YiPj8fZs2dRv359hIeHw8fHx6653e7P463qFodvRno7dbEZ6QMb5+Jkbha2Pv4y\nooMa2/XcjtBp7X+QWZSPfYPfFK5IJCKqLrlvRkpiEWYzUmexNL57C9j4Doi3wpC9IOJjhuJjhkTO\n5yZFlriN7wDgq+EKQyIiItG4RZEl8j5ZQMWZLDGKLO7PIz5mKD6RMzSbzU7bMJTInmRfZOmMBuhN\nRqgkBTyUDt8WzC581WWbrHEmi4jcgY+PT6Xv1yNylqKiomrt6/VXsi+ytBVuFTriC0Drwo29stiT\nRY7BDMUncoYhISG4fPkyrl+/zhktchqj0YgLFy4gNDS0xucQc2qnGkRvegcq7vp++69ZICISnUKh\nQKtWrZCdnY0rV64I+w/k2sjLy0NAAFeTO1tYWBgUiprPR7lBkSV20zsg3upCkXtBqAwzFJ/oGSoU\nCuuXGhOJSv63Cw3i7vZu4cfvLyQiIhKO/IssGcxk+Qi2ulDkXhAqwwzFxwzFxvzkgUWWAPw0XF1I\nREQkGtkXWdbGd5W4je8+7MkiB2OG4mOGYmN+8uAGRZYMZrK4upCIiEg4si+yrLu9C1xk+XCfLHIw\nZig+Zig25icP8i+yDPKZySo0sCeLiIhIFPIvsmRwu9Ayk1WoE6PIYi+B+Jih+Jih2JifPMi+yJJD\n47tf+XcXFnJ1IRERkTDcoMgSfybLS6WGQpJQYtTDYDI6ezi3xV4C8TFD8TFDsTE/eZB9kSWHxndJ\nkqxFImeziIiIxOA2RZbIM1kA4KMSp8hiL4H4mKH4mKHYmJ88yL/IksHqQgDw04hTZBEREZEbFFnW\nxne1uI3vQIUVhgIUWewlEB8zFB8zFBvzkwc3KLJkMpPFFYZERERCkX2RZW18V4ldZN3YK8v1d31n\nL4H4mKH4mKHYmJ88yLrI0hkN0JuMUEkKeChVzh5OrfgJdLuQiIiIZF5kVVxZKEmSk0dTO+zJIkdi\nhuJjhmJjfvIg6yJLLk3vAGeyiIiIRCPzIkseTe8AhNqMlL0E4mOG4mOGYmN+8iDrIsuyR5bIu71b\n+Gq4upCIiEgk8i6yZDmT5fqrC9lLID5mKD5mKDbmJw8ssgQhUuM7ERERybzIsja+q2TU+K5z/SKL\nvQTiY4biY4ZiY37yIPMiizNZRERE5ByyLrKsu73LoMgSaQsH9hKIjxmKjxmKjfnJg7yLLANnsoiI\niMg55F1kyeh24Y0viHb91YXsJRAfMxQfMxQb85MHWRdZlsZ3Odwu9FKpoZAklBgNMJiMzh4OERER\n3YbMi6zyniwZrC6UJEmYXd/ZSyA+Zig+Zig25icPsi6y5NT4DgA+KjGKLCIiInKTIksOPVkA4KcR\no8hiL4H4mKH4mKHYmJ88yLvIktHqQoArDImIiEQi6yJLTo3vQMUVhq5dZLGXQHzMUHzMUGzMTx5k\nXmRZerLEb3wHKsxk6Vx/GwciIiJ3J+siy9r4rpLLTJYYtwvZSyA+Zig+Zig25icPsi2ydEYD9CYj\nVJICHkqVs4djF+zJIiIiEodsi6yKKwslSXLyaOxDlJks9hKIjxmKjxmKjfnJg2yLLLk1vQMQZjNS\nIiIiknWRJa+mdwDw1YixupC9BOJjhuJjhmJjfvIg2yLLskeWPGeyuLqQiIjI1cm3yJLZbu+AOLcL\n2UsgPmYoPmYoNuYnDyyyBGItsnSuXWQRERGRjIssa+O7TPbIAsSZyWIvgfiYofiYodiYnzw4ZQOp\n9PR0rFu3DiEhIXjkkUfQoEEDu19Dlo3vghRZRERE5ISZrHXr1mH48OEYPHgwRo0aVScFFlBht3dZ\n3S4UY3UhewnExwzFxwzFxvzkwaEzWQkJCZg4cSISExMRGhpap9cqlHNPFlcXEhERuTyHzWSZzWaM\nGzcOkyZNqvMCCwCKDPIrsrxUaigkCSXlXxnkqthLID5mKD5mKDbmJw8OK7L27t2LU6dOIT09HYMG\nDUJ0dDQWLlxYZ9eT447vkiSxL4uIiEgQDrtdeOjQIfj5+eG///0vgoODcfjwYXTu3BmxsbHo0qVL\npdeOGjUKLVq0AAAEBASgffv21qrecp/6do8LTWVFSNrBo0i4WFjt97vqY1PKRZSWaKHVlyLQw9vp\n46nqcWJiIl555RWXGQ8fV/+x5ZirjIePq//4r1k6ezx8zPzk8tjyc3p6OgBg5MiRsEUym81mm8/a\n0X/+8x98++232L9/v/VY165d8eCDD2LWrFnWY9u3b0efPn1qfb3hP3+OXy+l4ssHn8P9TVvX+nyu\nove38UjJy8bWx19BdFAjZw+nSgkJCdY/lCQmZig+Zig25ieOW9UtCkcNolGjRtBqtZWONWvWDLm5\nuXVyPTk2vgM3VhhavjbIFfEvBvExQ/ExQ7ExP3lwWJEVFxeH8+fPQ6/XW48VFxcjPDy8Tq4nx8Z3\n4MbnKdBxhSEREZErs1lkTZs2DevWrbPbhaKiotCxY0f88MMPAACdTodjx45hxIgRdrtGRXJsfAdu\nFFlaF258r3jfmsTEDMXHDMXG/OTBZuP7ggULMGPGjCqf02q18PHxqfbFVq5ciddeew2nTp1CRkYG\nlixZgoYNG1b7PHdCjju+AxVmsly4yCIiIqJbFFmffvopvLy8qnxuw4YNeOaZZ6p9saZNm2Lt2rXV\nfl9NWHd8l9F3FwKAr8b1Z7LYSyA+Zig+Zig25icPNousb775Bvv27cO7774LD4+y/7FLkgS9Xo+j\nR4/WqMhylNLyzTpVkgIeSqd8PWOd8VVxJouIiEgENnuymjdvjiZNmiAyMhLNmzdH8+bNERYWhvDw\ncAQEBDhyjNVWVGFloSRJTh6NfflqylcXunCRxV4C8TFD8TFDsTE/ebA5zfPcc89hwoQJaNas2U3P\nbdq0qU4HVVtybXoHKvZkcXUhERGRK7NZZLVu3RparRYff/wxEhMToVarce+992LIkCEYMGCAI8dY\nbXJtegfEWF3IXgLxMUPxMUOxMT95sFlkXbx4ET179kRaWho0Gg2CgoKwePFi/O9//8PWrVsRFBTk\nyHFWi2WjTlnPZOlct8giIiKiW/RkvfLKK+jYsSOOHTuG4uJiXLp0CVqtFv/4xz8wbdo0R46x2uS6\n2zsA+KnZk0V1jxmKjxmKjfnJg82ZLKPRiPXr11c6plarMWLECKSmptb5wGqjSMZFluUWKFcXEhER\nuTabM1nt2rWz+aYzZ87UyWDsxdr4LrM9sgAxZrLYSyA+Zig+Zig25icPNousS5cuISkpqdKx06dP\nY8yYMcjPz6/zgdWGnG8X+nB1IRERkRBsFlmvvvoqevfujTZt2qBTp05o1KgRIiMj8eOPP+LDDz90\n5BirzTLL4y3D1YV+Auz4zl4C8TFD8TFDsTE/ebBZZLVu3RqJiYkYOHAggoODERsbi1mzZuHPP/9E\ny5YtHTnGapPzTJanUg2FJKGkfFd7IiIick02G9+fffZZdO7cGe+8844jx2MXRQb5FlmSJMFP7Yl8\nXTEK9aUI9PB29pBuwl4C8TFD8TFDsTE/ebA5k7V161abX59z5cqVOhuQPch5x3fgxgrDQu6VRURE\n5LJsFllr1661+aZ169bVyWDsRc63C4EbKwwLXbQvi70E4mOG4mOGYmN+8mDzduHbb7+No0eP4vXX\nX4enp6f1uMFgQGZmJiZMmOCQAdaEtfFdJb/Gd+DGDF0hVxgSERG5LJtFVu/evRESEoKoqKhKx00m\nEzZu3FjnA6sN+c9kWYos15zJYi+B+Jih+Jih2JifPNgssnr06IHRo0cjNDT0pucefPDBOh1Ubcm5\n8R2oOJPlmkUWERER3aIn67HHHsPs2bOrfK579+51NiB7kHvju5+GPVlUt5ih+Jih2JifPNgssh59\n9FGMHj26yud27dpVZwOyB7nfLrSuLmRPFhERkcuyebuwb9++ePfdd/HQQw9VanzX6/VYuXIldu7c\n6ZAB1oTcG999VZbbhTonj6Rq7CUQHzMUHzMUG/OTB5tF1saNG7Fx40Z8++23jhxPrZWW74SukhTw\nUNr8eELztdwu1HEmi4iIyFXZvF04evRo7NmzByaTqdIvg8GAf/3rX44cY7UUVbhVKEmSk0dTNyy3\nQQsN7MmiusEMxccMxcb85MHmVE///v2h1+thNpshSRJ0Oh2OHz+ODh064I033nDkGKtF7k3vQIUi\nizu+ExERuSybM1lnz55F9+7dcf/99wMANBoNsrKyMHbsWKhUrnsbTu5N70CFIstFVxeyl0B8zFB8\nzFBszE8ebBZZY8eORXFxMYKDg63H+vXrh3bt2uHNN990yOBqQlt+C81bLc+md6Di1+qwJ4uIiMhV\n2SyydDodjh07hoiIiErH27ZtizVr1tT5wGrKHWaybmzh4JqrC9lLID5mKD5mKDbmJw82i6z27dtX\nefznn3+GVqutswHVVpEbFFmcySIiInJ9NpurmjZtip9++glmsxkGgwFpaWlYvHgx5s6di2HDhjly\njNVibXxXybfIcvWv1WEvgfiYofiYodiYnzzYnMl6/fXXceTIEXz88cfQaDSIiorCvHnz8PTTT2PR\nokWOHGO1uMPtQj9N2WfTumiRRURERLcoshQKBd566y1cuXIFSUlJOHDgAK5evYoVK1agXr16jhxj\ntVh3e5dx47unUg2FJKGkfONVV8NeAvExQ/ExQ7ExP3m47V4MGo0G0dHRjhiLXbjDTJYkSfBTeyJf\nV4xCfSkCPbydPSQiIiL6C5szWaIqMsi/yAIqrDB0wQ1J2UsgPmYoPmYoNuYnD7Irstxhx3eg4gpD\n1yuyiIiISJZFlrvMZFlWGLreNg7sJRAfMxQfMxQb85OHOy6ySktL8f333+PAgQN1OZ5asza+q+Tb\n+A4Afi6+jQMREZG7s1lkdejQAW+//Tays7NhNBrRp08fDB06FGPGjMH//vc/R46xWtxvJsv1iiz2\nEoiPGYqPGYqN+cmDzSKrc+fOmDFjBkJCQvDee+9h//792LlzJ44cOYLSUtf7H7uFuzS++2nYk0VE\nROTKbllkAUBqaireeecdTJgwAV27dgUAeHp6OmZ0NeAuje83vr+QPVlkf8xQfMxQbMxPHmwWWUlJ\nSXjttddw//33Izo6GrNnzwYAHDx4EPPmzXPYAKvLXW4X3lhd6JpfEk1EROTubBZZ//nPf3D33Xfj\n3//+N3bv3g1vb29s27YNP/74I55//nlHjrFa3KXx3dqTpXO9mSz2EoiPGYqPGYqN+cmDzR3fNRoN\nRo8eXenYAw88gAceeAApKSl1PrCaKC3/mhmVpICH8rab2QvNurrQwJ4sIiIiV3TLSuT06dNISkrC\n9evXYTabAQBmsxnffPMNvvvuO4cMsDqKKtwqlCTJyaOpWzdmslyvyEpISOC/wgTHDMXHDMXG/OTB\nZpH12muvYe7cuY4cS625S9M7wB3fiYiIXJ3NnqzPP/8cP/74I4qLi2Eymay/9Ho93n33XUeO8Y65\nS9M7cOMzuuLqQv7rS3zMUHzMUGzMTx5szmR16tQJDz/88E3HlUolJkyYUKeDqilteX+SO8xk+Wos\nRRZXFxIREbkimzNZ//znP7F58+Yqn1u3bl2dDag2LDNZlj2k5MxX5bozWdzfRXzMUHzMUGzMTx5s\nzmQ1atQIQ4YMwcSJEysdNxgMuHz5sktu41DkTrcLNa77tTpERER0iyLriSeeQKNGjdC9e3d4eNwo\nWkwmE3bu3OmQwVWXtfFd5QZFFr+7kOoQMxQfMxQb85MHm0VWSUkJdu/eXeVWCImJiXU6qJpyp8Z3\nT6UaSkmBUqMBOqMBGpnvC0ZERCQamz1Z/fv3x+XLl6t8zsfHp84GVBtavfs0vkuSZC0mtS42m8Ve\nAvExQ/ExQ7ExP3mwOf3Ru3dvvPLKK3jkkUcqHTebzdi8ebNLNr+7U+M7UDZjl68rRqFeh0BP1yx8\niYiI3JXNImv+/PnYu3cv1q9f78jx1IrWjW4XAq67VxZ7CcTHDMXHDMXG/OTB5u3CIUOGID09vdJG\npJbNSN9//31HjvGOaQ3us+M74NrN70RERO7OZpGlVCpx5syZKo+PGzeuTgdVU+7U+A7c+JwFLlZk\nsZdAfMxQfMxQbMxPHmwWWW+99RZ2795d5XNeXl51NqDacKfGdwDw1ZR9f6GrNb4TERHRLYqsWbNm\noXv37lU+56p9WtbGd5X7NL4DQAF7ssjOmKH4mKHYmJ882Gx8T09Px/LlyxEVFQVPT0/rcb1ej4SE\nBAwdOrTGFzWZTOjTpw+mT5+Onj171vg8f+Wuje+cySIiInI9NmeydDodrl+/jszMTJw9e9b669y5\ncygoKKjVRT/++GP8+eefVW50Whvu2vheoHOtIou9BOJjhuJjhmJjfvJgcyZr9OjR+Mc//oFWrVrd\n9Nzy5ctrfME9e/YgPDwc/v7+NT6HLe7a+M6ZLCIiItdjcyarY8eOVRZYAPDss8/W6GLXrl3D77//\njv79+9fo/bfjdo3vLrq6kL0E4mOG4mOGYmN+8uDQL7ybN28epk6detvXjRo1Ci1atAAABAQEoH37\n9tY/cJYp1L8+jut+H/QmIwynLuD3X3fj/vvvv+Xr5fDYV+2J0pPnkZKvBroNdPp4+JiP+ZiP+ZiP\n5f7Y8nN6ejoAYOTIkbBFMpvNZpvP2tGSJUvQvXt3REVFAQDCw8OxbNmymxrft2/fjj59+lT7/Dkl\nWrT9ahYCNF44/vTbdhmzq9t6PhnPbV+O3k1bY8WDzzl7OFYJCQnWP5QkJmYoPmYoNuYnjlvVLQpH\nDWLJkiW455574OXlBS8vL5w7dw59+/bFsGHD7HJ+rd69mt4BwFfDniwiIiJX5bDbhfv376/0ODw8\nHMuXL0ePHj3scn53a3oH2JNFdYcZio8Zio35yYPDZrLqmtbgXk3vAFcXEhERuTLZFFnW3d7VGieP\nxHG4TxbVFWYoPmYoNuYnDw5dXVjR2bNn7Xo+d9vtHQB81eXfXWhwrSKLiIiIZDSTZW18V7lPkeWp\nVEEpKVBqNEBnNDh7OFbsJRAfMxQfMxQb85MH2RRZ7tj4LkkS/NiXRURE5JJkU2S5227vFj4uuMKQ\nvQTiY4biY4ZiY37yIJsiyx0b3wHAj3tlERERuSTZFFnu2PgO3OhBc6WZLPYSiI8Zio8Zio35yYN8\niiyD++34DtwoKgtdqMgiIiIiGRVZ7tj4DgC+mrJtHAr1JU4eyQ3sJRAfMxQfMxQb85MH2RRZ7tr4\nzpksIiIi1ySbIsva+K5yr8Z3a5HlQru+s5dAfMxQfMxQbMxPHmRTZLlr4ztnsoiIiFyTfIosNr47\neSQ3sJdAfMxQfMxQbMxPHmRTZLlt47sLFllEREQkoyLLfRvfXW91IXsJxMcMxccMxcb85EEWRVap\n0QC9yQi1QgkPpcrZw3EozmQRERG5JlkUWVo3XVkIAL4a1yuy2EsgPmYoPmYoNuYnDzIpstyz6R3g\nTBYREZGrkkWR5a5N7wD3yaK6wQzFxwzFxvzkQRZFltbgnk3vAGeyiIiIXJUsiiz3nskqW11oKTRd\nAXsJxMcMxccMxcb85EEWRdaN7Rvcr/HdU6mCUlKg1GiAzmhw9nCIiIionEyKrPLGd5X7zWRJkgS/\n8hk8rYvcMmQvgfiYofiYodiYnzzIoshy59uFwI1etAIXKbKIiIhIJkWWu+72buGnca2ZLPYSiI8Z\nio8Zio35yYMsiiy3n8lScSaLiIjI1ciiyHLnxncA8NNYvr/QNYos9hKIjxmKjxmKjfnJgzyKLIP7\n7vgO3PjcrvQl0URERO5OFkWWu98u9HOxDUnZSyA+Zig+Zig25icPsiiy3L3x3ccFv1qHiIjI3cmi\nyOJMlmvNZLGXQHzMUHzMUGzMTx5kUWRZZ7JU7tn47uNiRRYRERHJpchy88Z3P7VrrS5kL4H4mKH4\nmKHYmJ88yKLIcvfbhVxdSERE5HpkUWS5e+O7Zcd3V5nJYi+B+Jih+Jih2JifPAhfZJUaDdCbjFAr\nlPBQqpw9HKdgTxYREZHrEb7Icvemd8D1Vheyl0B8zFB8zFBszE8eZFBkuXfTO8B9soiIiFyR8EWW\nuze9A663upC9BOJjhuJjhmJjfvIgfJGlNbh30zvA1YVERESuSPgiizNZgKdSBZWkgM5kRKnR4Ozh\nsJdABpih+Jih2JifPAhfZN3YvsF9G98lSbIWmVoXuWVIRETk7mRQZJU3vqvcdyYLAHw1rtOXxV4C\n8TFD8TFDsTE/eRC+yOLtwjK+5TN5rlBkERERkQyKLHff7d3C14VWGLKXQHzMUHzMUGzMTx6EL7I4\nk1WmgZcvAODwlfNOHgkREREBMiiy2PheZmhELABgyfHdKDHonToW9hKIjxmKjxmKjfnJg/hFloE7\nvgNAn6ZRaBPUGFnFBVh/+pCzh0NEROT2hC+yeLuwjCRJeKnt/QCARcd2wWAyOm0s7CUQHzMUHzMU\nG/OTB+GLLDa+39C/+d/Q0j8YFwpz8V3aUWcPh4iIyK0JX2RxJusGpUKBCW17AQAW/JkAk9nklHGw\nl0B8zFB8zFBszE8ehC+yrDNZbr4ZqcXAu+5BE58ApOZnY8u5E84eDhERkdsSvsgq5OrCStQKJV6M\n6QEAmP/nTpjNZoePgb0E4mOG4mOGYmN+8iB8kWVZXcjbhTcMi+iEYE9fHLt2EbsupTp7OERERG5J\n/CKLje838VKpMebu+wAA84/ucPj12UsgPmYoPmYoNuYnD0IXWaVGA/QmI9QKJTyUKmcPx6WMjOqK\nehov7MtKx77LZ509HCIiIrcjdJHFWSzb/DSeGN3mXgDAgj93OvTa7CUQHzMUHzMUG/OTB6GLLGvT\nu4pN71UZHX0vvFUa7LyYgj+vZjh7OERERG7FoUXWrl270K5dO/j7++Ohhx7ChQsXanU+rZ5N77cS\n6OmDka27ACjbN8tR2EsgPmYoPmYoNuYnDw4rsrKzs/HFF19g1apVWL9+PU6dOoXRo0fX6pxaA28X\n3s6Yv3WHRqHET+eSkJqX7ezhEBERuQ2HFVk7duzAggUL8Le//Q0PPfQQpk+fjj179tTqnNzt/fYa\nevtjaEQszDA7rDeLvQTiY4biY4ZiY37y4LAia9iwYfDz87M+btiwIZo3b16rc7Lx/c6Mi+kJpaTA\nxrSjOF+Q4+zhEBERuQWn7Xtw+PBhvPjii1U+N2rUKLRo0QIAEBAQgPbt21vvT1uq+169eqFQX4rS\nk+eRe90D6I2bnufjG4//r2U7bDhzBFOWL8Tf/9a9zq9n4Sqfn4/52N0e9+rVy6XGw8fMTy6PLT+n\np6cDAEaOHAlbJLMTvndFq9Xi+eefx+rVq6FQKCo9t337dvTp0+eOzvPFid8xbd/3GBUVh3fiHq+L\nocpGal42en87F2qFAr8PfgONvP2dPSQiIiLh3apuUVR5tI598MEHmD9//k0FVnXxduGdiwgIQb/m\nd0NnMmLJ8d11eq2K1T6JiRmKjxmKjfnJg8OLrCVLlmDEiBFo0KABAECv19f4XGx8r56JbXsBAL48\ntQ+5JVrnDoaIiEjmHFpkLVu2DF5eXtDr9Th58iR27dqF1atX1/h8nMmqnrbBTXF/k0gUGXT4Ivn3\nOruO5f41iYsZio8Zio35yYPDGt+3bNmCv//97zAajdZjkiTh1KlTNT6ndcd3tabW43MXL7XrjZ0X\nU/DFid8x5u7u8NN4OntIREREsuSwmayHH34Yer0eJpPJ+stoNKJVq1Y1PqfWwB3fq6tzwxbo0rAF\n8uYh5S8AACAASURBVHXF+PLkH3VyDfYSiI8Zio8Zio35yYNTGt/thbcLa+aldr0BAIuT9qDYUPOe\nOCIiIrJN6CKLje810zM0Am3rN8HVkkKsST1g9/Ozl0B8zFB8zFBszE8ehC6yrDNZKhZZ1SFJEia2\nvR8A8PGxXdAZDU4eERERkfwIXWSx8b3mHm7eBhH1QnBJm49v0xLtem72EoiPGYqPGYqN+cmD0EUW\nG99rTiEprPtmLfgzAUaTybkDIiIikhmxiyw2vtfK4y3bIcw3CGevX8WP547b7bzsJRAfMxQfMxQb\n85MHYYusUqMBepMRaoUSHkqnfc+10FQKJcbH9AQAzP9zJ5zwNZZERESyJWyRxVks+xjUqgMaevnh\nRE4mtmectMs52UsgPmYoPmYoNuYnD8IWWdamdxWb3mvDU6XG2L/1AAB8dJSzWURERPYibJGl1bPp\n3V6ebt0ZAR7eOHzlPPZeTqv1+dhLID5mKD5mKDbmJw/iFlkG3i60Fx+1B15o0w1A2WwWOZ7OaMDR\nqxlIzct29lCIiMhOhC2yuNu7fY2KjoOv2gN7Mk/jyJXztToXewlu71pJIX45fwLvHvwJT/74Cdqs\nmo5HNi3A/d/G49FNC7Dq1D7rn3FnYIbiY4ZiY37yIOyyPDa+21eAhzeeieqKRcd2Yf7RnfjigWed\nPSQrg8mIfF0x8kqLkVdahPzSYuTpyn7OKy1GbmlR+fNFN16jK4af2hORASGICGiIyIAQRAY2RKt6\nDeDl4D4+o8mElLxsHMo+h4PZ53DwyjmkX7920+ta1WuAK8WFSLyagcSrGZixfzMeD2+H4a07oX1w\nM0iS5NBxExFR7QhbZLHx3f7+fvd9+OLEb/jlQjKScy4jOqhRjc5zp70EGYW5+C3zDHJKtGXFka68\ngCovlPJ0xcgvLUJBDWd0rpVokV5wDb9cSLYekyAhzC8QEQEhiAxoWP4rBK3qhcDbTt8ccF1XgiNX\nzuNQ9nkcyj6Hw1fO3/QZvFRq3NMgDLENwhAb0hz3hIQh0MMbxQY9fjp3HKtP7ccfWWfxVeoBfJV6\nAFGBjTA8shOeuOseBHp422Wct8J+EPExQ7ExP3mQzC62nGz79u3o06fPbV9XbNAjp0QLtUKJEG8/\nB4zMPUz943ssTf4d/9eyHRb0fMru59cZDdh6IRlfpRzAroupMOP2f/wUkgR/jRcCPLwQoPFGoIcX\nAjy8Uc9yzMP7psf1NF7ILS1CSl4WUvOycSovC6l5WUjLvwqD+ebd7SVIaOZrKb7KZr0i6oUgIiDk\nlrOlZrMZ6QXXcCj7fNksVfY5nMrNuulzNfMNRMeQMHQMaY7YkOaIDmwElUJ5y899Jv8Kvko5gPWn\nD+FaiRYA4KFUoX/zv2F4687o2jCcs1tERE52q7pF2CKL6sbFwjx0+/p9mGDGroGvIdw/uNrnSEhI\nuOlfYafzsrEm9WClgkGjUKJPs2g08w2sUCyVFVL1PG4UVX4aDygk+7QP6owGpBdcQ0puFlLysq1F\nWNr1q9CbjFW+p6lvYFnhVT7z1dDbD0k5mdbbf5bPY6FWKBFTvwliQ5ojNiQMHUKao5G3f63GvPVC\nMlaf2o9fL522FnDh/sF4KrITBrfqgAZe9v2HRlUZkliYodiYnzhuVbcIe7uQ6kYT3wAMatUBa1IP\nYtGxXZjT7ckan6vYoMMP6cfwVcoB7M9Ktx6PCmyI4ZGd8UTL9gj09LHDqO+cRqmyFksV6U1GpF+/\nhtS8LJzKy0ZqXhZS8rJwJv8qMgpzkVGYix0Zp6o8Z7CnL2JDmqNjSNmtv5j6TeCpUtt1zI+0iMEj\nLWJwoSAXa1IPYG3qQZy9fhXvHvwJ7x/6GX3D2mB4687o3rgVlAph17MQEckKZ7LoJmn5V9Dr23go\nJQV+GzQZoT4B1Xr/sWsX8VXKAXx75oi1F8lbpcHjLdtheKRYTdwGkxHnCnJwKjcLqfnZSMnNQmZR\nPqICG1kLqzDfIId/HoPJiISLKVh9aj+2Z5yCsfwWaFPfQAyNiMWwiFg09qnn0DEREbkj3i6kahuf\nsBrfn/0To9vci5ldHrvt6/NLi7ExLRFfpRzA8ZxL1uP3NGiG4ZGdMSC8LbfbqCOXi65jfeohfJVy\nAOcLcwCU9bHd36Q1hrfujD5NW9+2/4uIiGqGRRZVW3JOJh787kN4KtX4Y/AbCPbyvek1ZrMZ+7PS\n8VXKAfyQfgwlRj0AQH0mC88MGIhhEZ1qvEKRqs9kNuG3zDNYfeoAtpxPsvaYNfTyw6BWHXFv45aI\nDmyMBl6+t515Yz+I+Jih2JifONiTRdUWHdQYDzSLwrYLJ/HZiT14s+PD1ueuFBfg69OH8VXKAaRd\nv2o93q3xXRge2RleYVfQt8sDzhi2W1NICnQPjUD30AhcKynEhtNHsDplP07nX8HCYwlYeCwBAFDf\n0wfRgY0RHdTI+t+IeiF27SNzBWazGTqTEUUGHYr0OmgNpSjS61Bk0EFnMkIlKaBUKKCSFFAplFCV\n//zXY0pJUf5c5cdKSVHt28QmswkGkwlGsxkmc9l/jWZT2c+msp8tv0zWx2WvVSoUaOxdD34azzr6\nHSMie+NMFtl0OPs8Htu8CH5qD/w++A0kXrmAr1IO4JfzJ6zbIDT08sOQiFgMjYhFC//6Th4x/ZXZ\nbMaB7HPYdPZPnMi5hOTcy7iuK7npdQpJQkv/4JuKryY+AQ7tNzOaTMgtLcK1Ei1ySrXQ6kuhLS+Q\nivV6aA1lj4sMZb+0+lJrEVVk0EFbfqzYoIdWX1rldh32pKpQcKkUSiglBcwww2Q2w2Ay3lRM2YO/\nxhOhPgFo4hOAJr5l/w2t8HNDbz/eHiZyIN4upBobumUJfss8A2+VBkWGsi/lVkgS+jSNwlORndCb\n/T5CMZvNuKTNR3JuJpJzLuNk7mUk52biTP7VKosAP7UHooMaIyqwEaIDGyE6qDFaBzS849kUS9F0\ntaQQOSVaXCvRVvr5WokW14oLrT/nlhbd0d5pd0olKeCr9oCXSgMftQbeKg181B5QK5Rls0QmE/Qm\nI4zlM0wGyzGzEUaTZdbJ8pyx0uOaFk2W2TKFJEEpKW78UpQ9rnhcIUlQKRRQSArojAZc0uZbb8vb\nopAkNPL2txZfoeXFl6UoC/Wph3oaL2EWnxC5Ot4upBqb1PZ+/JZ5BkUGHcJ8g/BUZCcMatXhlivX\n2EvguiRJKpvx8A3AA82ircdLDHqczs9Gcu5lJOdcxq5dCchpVg9XiguxPyu90hYcABDmG1Q+49UI\nQZ6+yCm5USjllBdS18p38q9u0RTg4Y36nj6o7+kDP7VneWGkgbelSFJ5wFtV9tin4jFrEVX2X2+V\nBhpl3f0VZ5mhulF4lRVhkoRKxZNCkqBUKKCUpFrv92Y2m5FbWoRL2jxc1ObjYmFe2c+FebioLfs5\nq6gAl7T5OHvoGDyiwqo8j49KY535auwTgHoaT6gVSqiVKmgUyvKfleU/q6BWKKFRlh9XlB9Xqsof\nK6BWlL9PWfl5VTU+b3VLa4UkQVX++yvHgpF/j8oDiyy6pW6hrbDiwefgqVSha6Nwu20KSq7FU6XG\n3+o3wd/qNwEAJBT5oFevXrhSXFA225VzubwAy0RKXhbOF+bgfGEOfj5/4pbnlf6/vXuPb6LK+wf+\nmZkkTdompaUVKNcqIKgoFuTiurAgyy4ivlZA5YcI3pbLCuhrWeTBBeT6rPiAiIJFWF153F1lqc/a\nXRBW0NqtIpSLaJGC2C6FXpGW0vSWSWa+vz8mnSSQIpe2yYTv+/XKa2bOnGlOeprOJzMnMxAQ7w1N\nidZYJHjDU1trDNraYrVpVAwSrLFItMUgPiraMEdGRUGEKGgXn20tgiAgwRqDBGuM3lcXkhUPyuqq\n8c9dO9H+9l4orvUGMG8QK66pQq1H9l6M90yrtb0lSQGnbS+cSvrRQ8l7lLDx1O6F4/Aap41hM0oy\nwSKZYBFNsEjeZe+8RTIhSvSulyRvuQlRorbOHGR7iyhB9GuLKIgRHRRZmIasYH9sTZ3VbOoPk+tz\nfa5/9fUbP0Hf0MSV6r87V468c6U4WlmKarkBbb07/idv+clFdYtC0H6u33R9IkK13ICS2irc0jY5\naP3F+/4Jt6JAVhW4VQVu1QNZUbDp3seC1v/ZB6vhVhXIqsdbX4Vb8eC7ycuC1r9x8++DlhdMWRG0\n/KYg9VUi/Ofx/w5av+Pb84KWFz+50hD1e/7vQu2U8l//rQdDSRBxYMILQev/MuM1SN6gJkI7cipC\nwAejpwet/+Tuzd4PCYI37GmB7/WhE4LWf2HP3yFAgPbnpU0FCFg6KPjlfZbv/wiCVlOvKwCY1/+X\nQeuvPLATKghE8E61x6KB9wet/19f/B9U79hH+G2zZsjDQevPznof3pZrU+/75NUm6s/J3hpQ37uA\nVfeMD1p/9+7dQcuBMA1ZjLHw1qONdl/HB1LuCCh/MkTtYZdPEATERdkQF2Vrss6LA4Lv3DYheMjK\nHPvb4M/VRMjKn7w8eP0mQtb3TdVvImR98/8W6qdx/cfQdW8i1Gz5xdN+4/G0gCirCsYheP2pt/4U\nsuKBS/VoU0Wb/ilobSA5Jg6yoni/DOH7xmhTar3jXy9XbkXxFdXP+X4/LKoHZlXRp2YKflsxAKj4\ndIMeNwQiiD9ycrdy+/9AAHm3IQiES25z+qNV8IgS3IIEtyjBI0qQhaaPEO86/C+tjijB07jNJep/\nkP/VJdt7oQ+P7YFIWvt9r/fqxorywHfW7HgsgfFxHxof96FxEAVerkMhwmefZeLun/40oNztqodS\neRpq46PiNKjyFHC+DJDrAY8LcLsARQY8MgSPyzuVIaieUL/MFkeiBFWyAKIEEAGkQgD55knVslJj\neTM5/djHPPCdMcYYC0eCIMAkSBAbauCuKIR6thDI3Q2lKguesyfhPnsK7opCKFWlAdtd6QhZwRwF\nwRQFwWz1Tv3m/ZZFUxQEswWC2QqIJgiCCO28nwAIIrRThn7LgnZyEILgqwtB30bwbhP4MwAoHpDH\nBfLIflP/R7B1F5ZpQZI8MgRVgaTWX+EvRQRE72sSRe/rEf1ei/+yoJ16Vz0gVQEaH5f68XwkizHG\nGGtZRAS1rgruisKA4OQ5ewrusye1cFVTcekfIkowJXSCuW1XmNp2gTmxG8yJXWFK6ATRavcFpQuC\nlGi2ApI5ogfXExGguLXgpXoAQdTGVPkFJ0EPhb7Q1Bz4Eg6MMQaAVBXkqgUpbt/OqAUv83D57VKg\numpBrlrfVK7zK6vTPrELovbpWpQAUfQ7wiBCECX9U7leR68vBtbxLxclQFUBVdF2Tqri/ZTu+7RO\nigcgb7mi+Mp/pD6IAJMFgknb0ftCgCX4URWTX5m+bAl5OFDdLqj11VAbqrVp/Xnv1KkvK/XVvjp1\n/nV929CPjLUSzFEwJXTRglNjiGrbFabELto0vmNY/L2GI0EQvH9rllA3JQD3Fmt2PBbE+ELZh/on\nUrfLGzRqtKDRUAPVVQO1oQbkqvPNy37rXLWghlp9nRZS/ObluoufUJQuPnVi9g8FF55asVwUBES/\nefLIfkHJG5BcdVBlX2DyzWvTH9v5Xo19ZYSB7SPjyEWw3zkkk3akIuDUlP8RisB1Aae8/NYJ4gWn\nsoigNjh94aihGuR2Nc/rsMbC3LarLzhdEKIkRztve/j/aKTgkMVYGCMibeyBu0F/qHK9b9k7r7ob\nQG4XyO2/7FtPHpd2VCHYGIrGQ+p+O5qqb0/h7NndF+2Ugo23QGMbG8dJuJsaY9HEWAq3C6QETluS\nEBUDQTJrbXA3aEde5LrgAay1CAKEqBiIUTEQLTEQoqIhRsVAsHjLoqIhmKO03zVpR51AKkhVtX5V\nFa2cVEBVQaTCav0B0Te28StXvPW1B+llitavksl7pEvSjpaIkrYsestFCYJo0o6UidJl1YcgeH/P\nLt/fsf+y/rft8vvbcWl/v95l/RSQRwYanKHpH8kE0RYHyeaAaHNAtMVpU6tdm0bHQbRq63x1vA+r\nd73NoQXFCD5lxy7GIYs1O/705UNE2qmEmgooNRVQnWeh1FRCqa2A4jyrlzc+qMGp7WD8glQo3AKg\n8mRInlojmSBIFi1gWGO9ASQWojUWYlSsFkL0+abXXbitYLbpRwoaUePgW+/OXt/BXxQAGnwB0ltH\nvXC9x6W3uzE0CZZoiI2hKSoGoiXaF6i8ZS2x832oWX9a6JCq+kK4X/gi1aMFTP3bY9q8FirponUE\n8gbMwHWkz6v6BxHRatdDkxgdF5JwxP9HIwOHLMYuQKqqjS9R3CDFrX0DRnFrO2PFre1cayu9wahS\nC0ve0KTWNJZ7A1RtJaBc21entfErVt/DYvOenrJqocFs1ZYtvjqit9z3iAIgAH5fZ/btePzKLtzx\nqL4yeC/4d9GOCkLg+JkLp2YLBEkbgwOpcSzOhfX8xulIZu1ISCsRJJN2JCYqptWek10+QRQhiFbA\nbAXQ9O28GAtHHLJYs2utsQSkeKBUn4GnqsT7KIXnnG+eGpx6MILqAXnc2qdfv8DkC1O+clzljX+b\nIlhjIcW2hRSb6J0m6PNibFtI9kRIMQnass3hDVE23/iTENxmhseDGB/3obFx/0UGDlks7JCqQqk5\nC09VCZRz3vDUGKTO+eaV8+XNHoh0ktl7hMOsjTExmbXxKJIZgmT2C0oJWlDyD1D2REgxbfUQJZqj\nWqaNjDHGwhqHLNbsfuzTl+p2wV1+AnJJHuTy76FU+QWpcyXwnC+97FNskuMGmNokw9QmGVJ8B33e\n1KY9xOg2EERvUPIGJkHyBqULy0UT0BikROm6H5zKn6CNj/vQ2Lj/IgOHLNZi1Hon5NJjkEuPwVWS\np80XH4X7h4IfvUquGJMAU3xjYPKGp/hkSG38glRcewgmcyu9GsYYY+zKcMiKEI1XExajYls9eCjO\ns74QVXIUWdl70M9WDk/l6eAbCCLM7brD0qE3LB16whTfSQtS3lAltemgXaGYhQyPBzE+7kNj4/6L\nDByyDIyI4Dr9NZz7tsC5bws8ZwsBQPt2md91W3zXd7EHXuNFn9e+rixFx/mu62JzBFxZmIjgOVes\nneIryYNcmge55Bjkkjwozh8C2tVQRvC0FyCYLDC37wlLh16I6niLFqqSe8HcvieHKMYYYxGPQ5YB\nyWXfwbn3fTj3bYFcekwvFyw2/Ro+yvkGbWD4NRAs0foF95TzZVCbuBCgYI3VglRyb1iSe+PBDr1g\nSb4F5qQUvgWEQfEnaOPjPjQ27r/IwHtAg3BXnIJz39/g3Pc+XIVf6eWSPRGxd42HfeAjsPW4R7vC\nslzvd2+taiiN8w1OqHXn/e6vdR5qQzWUeqc+739fLpLroMh1UM6X6c/VeDTK4g1Ulg69YUrodN0P\nFGeMMcYuxCErjHnOl8O5Px3Ove+j4fs9erlocyC234OwD3wE0b2HXzQGS7slRzTQpsNVPzcRafdW\n84Y0KTYRJkfSZW3LYwmMj/vQ+LgPjY37LzJwyAozSu051Bz8O5z7tqDu6Kf6daAEiw0xfe+HY9AE\nRPf5ZYuPaRIEAYJVuxWJKT65RZ+LMcYYi0QcssKA2lCDmq/+Cee+LajN3Qkobm2FZEZMn9GwD5qA\n2L73Q7TGhrahl4k/fRkf96HxcR8aG/dfZOCQFSKquwF1uTtRvfd91B7eBpLrtRWCiOhbR8A+8BHE\n9nsQUkx8aBvKGGOMsavCIasVERHqvt0N5973UHPw71Drq/V11h4/gX3gI7DfNR6muHYhbOW147EE\nxsd9aHzch8bG/RcZOGS1AiJC7Vf/QEXGsoBvBkZ1TdWC1cCHYW7bJYQtZIwxxlhz45DVgkhVUfNV\nBiozlsN16jAAQIprjzbDpsE+8BFYOtwc4ha2DP70ZXzch8bHfWhs3H+RgUNWCyBVRc2hD1H5j+Vw\nnfoaACC16YCE0fMQN/RpiBZbiFvIGGOMsZYmhroBkYRUFc4DH6DwxX4oXfcQXKe+hqlNMpIeXYuU\n//ke8T+fdV0ErM8++yzUTWDXiPvQ+LgPjY37LzLwkaxmQKqKmgMfoOIfyyEXHQEAmOI7IuH+/4Jj\nyJN8nz7GGGPsOsQh6xro4SpjGeTibwEApoROSBjdGK6iQtzC0OCxBMbHfWh83IfGxv0XGThkXQVS\nFTj3p6MyYznkkqMAAFNCZySMmQ/HPY9ft+GKMcYYYz48JusKkKqgeu/7KFxwB8rSJkIuOQpT2y64\nYUoauq08jjbDpnHAAo8liATch8bHfWhs3H+RoVVDVnFxMX7zm99gw4YNmDJlCr799tvWfPqrRqqC\n6i/fQ+Hvb0fZhkchl+TBlNgV7R5/Eykrj6PNsKkcrvwcPnw41E1g14j70Pi4D42N+y8ytNrpQiLC\nAw88gJUrV2LEiBEYOnQoRo8ejRMnTkCSpNZqxhUhxQPnvi2o+OcKuEuPAwBMid3QdswLcPzkMQgm\nS4hbGJ6qqqpC3QR2jbgPjY/70Ni4/yJDq4Ws3bt3Iy8vTx/M17t3b5jNZnz44YcYN27cFf88Va4P\nuC1N8yLUHdmthauy7wAA5qQUJIz5PRx3T4JgMrfQ8zLGGGMsUrRayPriiy9w4403wmTyPWXPnj3x\n6aefXlXIqjn4d5S9+VhzNjEoc9KNSHjg93AMfpTD1WU6efJkqJvArhH3ofFxHxob919kEIiIWuOJ\npk+fjm+++QZ79uzRyyZNmgSn04mMjAy97JNPPmmN5jDGGGOMNYt77703aHmrHckymUwwmwOPBKmq\nelG9phrKGGOMMWYkrfbtwuTkZJw/fz6grKqqCh07dmytJjDGGGOMtZpWC1nDhg1DQUFBQNnx48f5\nqraMMcYYi0itFrIGDRqErl27IjMzEwBw7Ngx1NXVYcyYMa3VBMYYY4yxVtNqIUsQBGRkZGDz5s14\n44038NJLL2Hbtm2w2WwAjHuh0utZVlYW7rjjDjgcDvziF7/A6dOnAXBfGpGqqhg2bBiysrIAcB8a\n0cmTJ/Hyyy/jnXfewQ8//BDq5rAr8Pnnn2PRokV49dVXMWnSJBw/rl2Xkd+HEYDCgKqqlJqaSrt2\n7SIioqNHj1JKSgp5PJ4Qt4w1pby8nCZPnky5ubm0c+dO6tq1K40YMYKIiPvSgNatW0cJCQmUlZXF\n70cD2rJlCw0ePJgKCgr0sqKiIpoxYwalpaXR5MmT6ciRIyFsIWuKx+Ohm266iRRFISKizz77jP+X\nRpCwCFkff/wx2Ww2crvdelnPnj0pPT09hK1il/Lee+9RdXW1vvynP/2JrFYr7dq1i/vSYLKzs2n7\n9u3UrVs3ysrK4vejwWRmZlJSUhIVFxfrZRyUjePMmTNks9nI6XQSEdHhw4epX79+/L80QoTFDaIv\ndaFSFp4mTJgAu92uL7dr1w5dunTBF198gZSUFO5Lg6ioqMCePXtw3333AdBuf8V9aBxEhBkzZmD2\n7NlITk7Wyy91hw0WXpKSktCvXz9MnjwZ1dXVeP3117Fs2TJ8/vnn/D6MAGERssrKyuBwOALK4uLi\nUFRUFKIWsSt16NAhzJgxA2VlZYiLiwtYx30Zvl599VU899xzAWXl5eXchwbx5Zdf4vjx4zh58iTG\njx+P3r17Y/369RyUDWbr1q04duwYkpOTce+992LUqFH8vzRCtNrFSC/lci9UysJTbW0tcnNz8Ze/\n/AXPPvss96VBbNq0CY8++igslsAbnUuSxH1oEAcPHoTdbsdLL72ExMREHDp0CAMGDMDPf/5z3kEb\nSFlZGUaMGIGysjI8/vjj+j6R34fGFxZHsvhCpca2atUqvP7665AkifvSQDZt2oQ777wTNpsNNpsN\nhYWFGDlyJDZu3Ijq6sCbr3MfhqeamhrcfPPNSExMBACkpqaif//+6N69O++gDaKurg6jRo3CokWL\n8Le//Q1z587FU089haSkJP5fGgHCImTxhUqNa9OmTZg0aRKSkpIAAPfccw/3pUHk5OSgvr5ef3Tt\n2hW7du1CVlYW8vPzA+pyH4an9u3bo7a2NqCsU6dOWL9+PQdlgzhy5AhUVdWD8pIlSyCKIn72s5/x\n/9IIEBYhiy9UakzvvPMObDYb3G43jh07hqysLBQUFKBbt27clwbG70fjGDx4ME6dOgW3262XuVwu\nLF68mIOyQfTo0QOyLKO0tBQAIMsyYmJi0LdvX34fRoCwGJPVeKHSpUuXIi8vDzk5OQEXKmXhZ+fO\nnfj1r38NRVH0MkEQcPz4cQwZMoT70sD4/WgcvXr1Qr9+/bBt2zY8+OCDkGUZ33zzDTZt2oStW7ci\nMzMTw4YN4x10GIuPj0d6ejrmzJmD/v374/Tp03j33XfhcDj4fRgBBCKiUDeCMcbY1SkqKsKcOXNw\n5513oqioCA888ABGjhyJgoICLF26FAMGDEBOTg5mzZqFfv36hbq5jF1XOGQxxhhjjLWAsBiTxRhj\njDEWaThkMcYYY4y1AA5ZjDHGGGMtgEMWY4wxxlgL4JDFGGtRxcXFSExMxMGDBy97m/379yMpKUm/\ndlAkWbt2LX/Lj7HrBIcsxtglFRYWXtP2drsdgwcPvuheepeSmJiIQYMGwWq1XtNztxS3233VATAl\nJQX9+/dv5hYxxsIRX8KBMdakzMxMZGdnY9GiRaFuSlh58cUXMXz4cAwdOjTUTWGMhTE+ksUYC6q4\nuBiTJ09Gc30Ou5obFIfjTY0/+eQT/OEPf7imn+F/pwTGWOTikMUYC2rHjh1wOp34+OOPMXfuXJSW\nluL999/HyJEjsWPHDowcORI33HADKioq8O2332LGjBnYuHEjHnroIaSlpQEAGhoasHHjRgwaNAh/\n/vOfAQBffvklpkyZgsceewzp6eno2bMnbrjhBvz1r38FAJw/fx6vvPIK+vTpg+zsbADabZzGjx+P\nefPmYf369ejcuTM6d+6MTz/9NKDNu3btwnPPPYepU6dCFEXY7XaMHTsWJSUlQV/j6tWr8cYbOeoE\n9AAAB4dJREFUb2DZsmWw2+36TZVVVcXLL7+M2bNnY8iQIRgxYgTy8/OhqioyMjLg8XiQlpbW5BE+\nWZYxZ84cvP3225g+fTpSU1MBAPn5+Zg7dy46deqk1128eDHGjh2LhQsXYuHChbj99tshSRIOHToE\nAKisrMS8efMwdepU9O3bF0899RTq6+uvqk8ZY62MGGOsCd26daMlS5YQEZHT6aT09HQSBIGmTZtG\nOTk5NHXqVKqrq6O+ffvSihUriIjo0KFDJEkSnTp1ilwuFx05coQEQaDNmzcTEZGiKDR69Gjq2rUr\npaenk9vtplmzZlFCQgIREdXW1tKOHTtIEATKysrSt7ntttvo1ltvpU8++YTcbjf96le/or59++pt\nPXnyJCUmJlJDQwMRET355JMUFRVFsiwHfW35+fmUmpqqL7/yyitUVVVFREQrVqygjz76SF932223\n0V133UVERP/5z38C2hbMW2+9Rb/97W/15UWLFhER0blz52jBggUkCIK+7o9//KM+X1BQQNHR0fTM\nM8/oZWPHjqXy8nIiIiopKSGTyURz585t8rkZY+GDj2Qxxi5LbGys/q24sWPH4q677sKbb74Jm82G\np556Cvfddx8AIDo6GqqqorCwEBaLBbfeemvAzxFFEYmJibjxxhsxbtw4mEwm3H///Th37hzKy8sR\nHR2NXr16Bd1mwIABGD58OEwmE0aNGoW8vDy9zvbt22GxWBAVFQUAmDBhAmRZRlVVVdDX43K5kJub\ni4yMDADAE088gZiYGMiyjJUrVyIrKwvz58/H/PnzcfPNNyM6OvqyT53KsowtW7bgxIkTAIBnnnkG\nANCmTRvcdNNNAXWnTJmiz8+cORPx8fH66ci9e/ciJycHa9aswfz58/Haa69h2LBhfCSLMYMwhboB\njDHjufBbfzNnzkR+fj5WrVqlj6P6sfFU/oHFYrEA0ILP5bJYLJBlWV92u904c+YM6urqEB0djc6d\nOyMmJgZJSUlBt+/duzeeeOIJPPjgg5g0aRLWrFkDk8mEvLw8OJ1OLF++HCbT1f2LnDx5MjZt2oQ7\n7rgDCxYswLx585qs2/gc6enp2LFjB9LT02G32wEAX331Fbp06XLNY8AYY6HBR7IYY9csLS0Ns2fP\nxsyZM/Hwww+HpA3jx4+Hw+HAhg0bAAC5ubn43e9+d8lt3nzzTaSlpWH79u3o06cPTpw4gbq6OgBA\nQUHBRfX9Q92lREdHIzs7G9OmTcPixYsxdOjQSwZIp9OJ5557DmPGjMHYsWP18rq6Opw8efKi+oqi\nNNsXEhhjLYdDFmOsSYIg/OjOvKioCLNmzcK0adNgtVov+xuBgiA0RxN1HTt2xLvvvovMzEy89NJL\nkGUZL774YpP1c3NzcebMGUybNg1Hjx6Fw+FAWloaunfvDlEUsXHjxoD6O3bswJEjR/R2X+r3snv3\nbkRHR2PNmjX497//jYMHD+Jf//pXk/UXLlyI6upqrF+/Xi87ceIEevbsidLSUmzbti2g/tq1a6/o\nqB9jLDQ4ZDHGmpSQkIC8vDx4PB7k5ubqAcrtdut1ysvLoaoqcnJy4HK5sHXrVgDaJSAqKyv1uv5H\ngTweT0AYa1zXeGmDYNu43e6g2zSGnb179+K1117DxIkTkZKSApPJpH87MZjKykps3rwZANCuXTuM\nGjUKycnJiIuLw8SJE7FmzRosXLgQn3/+Od544w18+OGHSE1NRXx8PARBQF5eHs6cOYPi4uKLfvae\nPXtw4MABAMCgQYPQq1cvdOjQIeC1eTweANopwXXr1mHZsmX6tw49Hg8++ugjjBo1CikpKZgyZQre\neustZGdnY+7cubDb7WF7oVbGmJ9QjrpnjIW3t99+m+x2O40ZM4aKiopo2rRpJIoiPfTQQ7R//34i\nIlJVlcaPH082m42GDBlCubm5lJqaSr169aL9+/fT8uXLSRAEGj58OB0+fJj27t1LXbp0obZt29K2\nbduorKyMxo0bR6Io0vPPP0+FhYU0e/ZsEkWRHnnkEfr+++9px44d5HA4qHv37pSdnU35+fk0ZMgQ\nEkWRVq9eTUREX3/9Nd1yyy2UkpJCNpuNBEEgQRBo+vTpQV9bZmYm2Ww2euGFF2jdunU0c+ZMcrlc\nRERUVVVFEydOpNjYWGrXrh09++yzVF9fr2/79NNPk8PhoDlz5gT92YsXL6bOnTvT6tWracWKFbRq\n1SoiIjpw4ACNGDGCRFGkpUuX0vnz5+nuu+8mq9VKL7zwAi1YsICef/55uvvuu2ndunVERHTkyBG6\n5557yGq1Uo8ePWjDhg3N07mMsRbHV3xnjEWEtWvXok+fPhg+fLheVl5ejtmzZ2PLli0hbBlj7HrF\n3y5kjBleUVERli9fjh9++CGgvF27dhg4cGCIWsUYu97xmCzGmOG53W6cO3cOK1asQHl5OVwuF777\n7jssWbIEQ4YMCXXzGGPXKT5dyBiLCBkZGViyZAny8vLgcDgwcuRILFq0CD169Ah10xhj1ykOWYwx\nxhhjLYBPFzLGGGOMtQAOWYwxxhhjLYBDFmOMMcZYC+CQxRhjjDHWAjhkMcYYY4y1gP8PII+sY5LB\njcsAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next consider the high variance situation. The training error will start out very low as usual, and go up slowly as even though we add points, we have enough wiggle room to start with, until it runs out and the error keeps increasing. The cv error, will, on the other hand, start out quite high, and remain high. Thus we will have a gap. In this case it will make sense to take more data, as that would drive the cv error down, and the training error up, until they meet.\n", "\n", "![Learning Curve under high variance situation](files/data/lc-hv.png)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_learning_curve(d=20)\n", "plt.ylim(0, 10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "(0, 10)" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAGTCAYAAAAbYwcIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-Nearest Neighbors" ] }, { "cell_type": "code", "collapsed": false, "input": [ "df=pd.read_csv(\"data/olive.csv\")\n", "df.head(5)" ], "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", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Unnamed: 0regionareapalmiticpalmitoleicstearicoleiclinoleiclinolenicarachidiceicosenoic
0 1.North-Apulia 1 1 1075 75 226 7823 672 36 60 29
1 2.North-Apulia 1 1 1088 73 224 7709 781 31 61 29
2 3.North-Apulia 1 1 911 54 246 8113 549 31 63 29
3 4.North-Apulia 1 1 966 57 240 7952 619 50 78 35
4 5.North-Apulia 1 1 1051 67 259 7771 672 50 80 46
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ " Unnamed: 0 region area palmitic palmitoleic stearic oleic linoleic linolenic arachidic eicosenoic\n", "0 1.North-Apulia 1 1 1075 75 226 7823 672 36 60 29\n", "1 2.North-Apulia 1 1 1088 73 224 7709 781 31 61 29\n", "2 3.North-Apulia 1 1 911 54 246 8113 549 31 63 29\n", "3 4.North-Apulia 1 1 966 57 240 7952 619 50 78 35\n", "4 5.North-Apulia 1 1 1051 67 259 7771 672 50 80 46" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "df.rename(columns={df.columns[0]:'areastring'}, inplace=True)\n", "df.areastring=df.areastring.map(lambda x: x.split('.')[-1])\n", "acidlist=['palmitic', 'palmitoleic', 'stearic', 'oleic', 'linoleic', 'linolenic', 'arachidic', 'eicosenoic']\n", "dfsub=df[acidlist].apply(lambda x: x/100.0)\n", "df[acidlist]=dfsub\n", "df.head()" ], "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", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
areastringregionareapalmiticpalmitoleicstearicoleiclinoleiclinolenicarachidiceicosenoic
0 North-Apulia 1 1 10.75 0.75 2.26 78.23 6.72 0.36 0.60 0.29
1 North-Apulia 1 1 10.88 0.73 2.24 77.09 7.81 0.31 0.61 0.29
2 North-Apulia 1 1 9.11 0.54 2.46 81.13 5.49 0.31 0.63 0.29
3 North-Apulia 1 1 9.66 0.57 2.40 79.52 6.19 0.50 0.78 0.35
4 North-Apulia 1 1 10.51 0.67 2.59 77.71 6.72 0.50 0.80 0.46
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ " areastring region area palmitic palmitoleic stearic oleic linoleic linolenic arachidic eicosenoic\n", "0 North-Apulia 1 1 10.75 0.75 2.26 78.23 6.72 0.36 0.60 0.29\n", "1 North-Apulia 1 1 10.88 0.73 2.24 77.09 7.81 0.31 0.61 0.29\n", "2 North-Apulia 1 1 9.11 0.54 2.46 81.13 5.49 0.31 0.63 0.29\n", "3 North-Apulia 1 1 9.66 0.57 2.40 79.52 6.19 0.50 0.78 0.35\n", "4 North-Apulia 1 1 10.51 0.67 2.59 77.71 6.72 0.50 0.80 0.46" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "dfsouth = df[df.region==1]\n", "dfsouthns = dfsouth[df.area != 4]\n", "dfsouthns.head()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/Users/rahul/anaconda/lib/python2.7/site-packages/pandas/core/frame.py:1943: UserWarning: Boolean Series key will be reindexed to match DataFrame index.\n", " \"DataFrame index.\", UserWarning)\n" ] }, { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
areastringregionareapalmiticpalmitoleicstearicoleiclinoleiclinolenicarachidiceicosenoic
0 North-Apulia 1 1 10.75 0.75 2.26 78.23 6.72 0.36 0.60 0.29
1 North-Apulia 1 1 10.88 0.73 2.24 77.09 7.81 0.31 0.61 0.29
2 North-Apulia 1 1 9.11 0.54 2.46 81.13 5.49 0.31 0.63 0.29
3 North-Apulia 1 1 9.66 0.57 2.40 79.52 6.19 0.50 0.78 0.35
4 North-Apulia 1 1 10.51 0.67 2.59 77.71 6.72 0.50 0.80 0.46
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ " areastring region area palmitic palmitoleic stearic oleic linoleic linolenic arachidic eicosenoic\n", "0 North-Apulia 1 1 10.75 0.75 2.26 78.23 6.72 0.36 0.60 0.29\n", "1 North-Apulia 1 1 10.88 0.73 2.24 77.09 7.81 0.31 0.61 0.29\n", "2 North-Apulia 1 1 9.11 0.54 2.46 81.13 5.49 0.31 0.63 0.29\n", "3 North-Apulia 1 1 9.66 0.57 2.40 79.52 6.19 0.50 0.78 0.35\n", "4 North-Apulia 1 1 10.51 0.67 2.59 77.71 6.72 0.50 0.80 0.46" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "akeys=[1,2,3]\n", "avals=['North-Apulia','Calabria','South-Apulia']\n", "amap={e[0]:e[1] for e in zip(akeys,avals)}\n", "ax=scatter_by(dfsouthns, 'palmitic', 'palmitoleic', by='area', labeler=amap, mfunc=make_rug, mms=20)\n", "ax.grid(False)\n", "ax.legend(loc='upper right');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAfwAAAH1CAYAAAATXUzbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib.colors import ListedColormap\n", "#cm_bright = ListedColormap(['#FF0000', '#000000','#0000FF'])\n", "#cm = plt.cm.RdBu\n", "cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA', '#AAAAFF'])\n", "cmap_bold = ListedColormap(['#FF0000', '#00FF00', '#0000FF'])\n", "\n", "def points_plot(X, Xtr, Xte, ytr, yte, clf, colorscale=cmap_light, cdiscrete=cmap_bold):\n", " h = .02\n", " x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", " y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", " xx, yy = np.meshgrid(np.linspace(x_min, x_max, 50),\n", " np.linspace(y_min, y_max, 50))\n", "\n", " plt.figure()\n", " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " plt.pcolormesh(xx, yy, Z, cmap=cmap_light, alpha=0.2)\n", " plt.scatter(Xtr[:, 0], Xtr[:, 1], c=ytr-1, cmap=cdiscrete, s=50, alpha=0.2,edgecolor=\"k\")\n", " # and testing points\n", " yact=clf.predict(Xte)\n", " print \"SCORE\", clf.score(Xte, yte)\n", " plt.scatter(Xte[:, 0], Xte[:, 1], c=yte-1, cmap=cdiscrete, alpha=0.5, marker=\"s\", s=35)\n", " plt.xlim(xx.min(), xx.max())\n", " plt.ylim(yy.min(), yy.max())\n", " return ax\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.neighbors import KNeighborsClassifier\n", "subdf=dfsouthns[['palmitic','palmitoleic']]\n", "subdfstd=(subdf - subdf.mean())/subdf.std()\n", "X=subdfstd.values\n", "y=dfsouthns['area'].values\n", "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, train_size=0.6)\n", "Xtr=np.concatenate((Xtrain, Xtest))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We do kNN with 20 neighbors. kNN " ] }, { "cell_type": "code", "collapsed": false, "input": [ "clf = KNeighborsClassifier(20, warn_on_equidistant=False).fit(Xtrain, ytrain)\n", "points_plot(Xtr, Xtrain, Xtest, ytrain, ytest, clf)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "SCORE 0.930434782609\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAFwCAYAAAChA5+LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n7wAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if we decide to get ultra local. We get high variance and Jagged islands." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#your code here\n", "clf = KNeighborsClassifier(1, warn_on_equidistant=False).fit(Xtrain, ytrain)\n", "points_plot(Xtr, Xtrain, Xtest, ytrain, ytest, clf)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "SCORE 0.913043478261\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAFwCAYAAAChA5+LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You do it for 35 now..see what happens?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#your code here\n", "clf = KNeighborsClassifier(35, warn_on_equidistant=False).fit(Xtrain, ytrain)\n", "points_plot(Xtr, Xtrain, Xtest, ytrain, ytest, clf)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "SCORE 0.939130434783\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAFwCAYAAAChA5+LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now start splitting data even more in a strange way. Why do we need to do this?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Xcv,Xte,ycv,yte=train_test_split(Xtest, ytest, train_size=0.5)\n", "print ytrain.shape, ycv.shape, yte.shape\n", "trscores=[]\n", "cvscores=[]\n", "ns=np.arange(1,80,1)\n", "ones=np.ones(len(ns))\n", "for n in ns:\n", " clf = KNeighborsClassifier(n, warn_on_equidistant=False).fit(Xtrain, ytrain)\n", " trscores.append(clf.score(Xtrain, ytrain))\n", " cvscores.append(clf.score(Xcv, ycv))\n", "plt.plot(ns, ones-trscores, label=\"training\")\n", "plt.plot(ns, ones-cvscores, label=\"cv\")\n", "plt.legend(loc='upper left');\n", "print clf.score(Xte, yte)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(172,) (57,) (58,)\n", "0.775862068966" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAl4AAAFxCAYAAACiM6b4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the same graph we saw earlier, but rversed..k=1 is high variance!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### train/validate/test\n", "\n", "If you fit hyperparameter by finding the lowest test set error, you can ask\n", "how well this model generalize. But this is not likely to be a fair estimate of how well this model generalizes. It is likely to be an optimistic estimate as d is fit to the test set.\n", "\n", "So do a 3 way split to train/cv/test and pick hypothesis with lowest cross-validation error. But this might be hard if we didnt have that large a data set.\n", "\n", "Practically what we do is to nest our cross-validation inside a grid search. Remember, our hyperparameter fit is also a fit!, and thus the `X_cv` serves as its \"data\". Thus we need this nesting and 3 way split. Or you would be testing the hyperparameter fit on its own \"training\" set." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, train_size=0.8)\n", "Xtr=np.concatenate((Xtrain, Xtest))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.grid_search import GridSearchCV\n", "from sklearn.metrics import classification_report\n", "parameters = {\"n_neighbors\": np.arange(1,80,1)}\n", "clf = KNeighborsClassifier(warn_on_equidistant=False)\n", "gs = GridSearchCV(clf, param_grid=parameters, cv=10)\n", "gs.fit(Xtrain, ytrain)\n", "#print gs.grid_scores_\n", "print gs.best_params_, gs.best_score_\n", "y_true, y_pred = ytest, gs.predict(Xtest)\n", "print(classification_report(y_true, y_pred))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "{'n_neighbors': 31} 0.94039408867\n", " precision recall f1-score support\n", "\n", " 1 1.00 1.00 1.00 3\n", " 2 1.00 0.70 0.82 10\n", " 3 0.94 1.00 0.97 45\n", "\n", "avg / total 0.95 0.95 0.94 58\n", "\n" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "points_plot(Xtr, Xtrain, Xtest, ytrain, ytest, gs)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "SCORE 0.948275862069\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAFwCAYAAAChA5+LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndmFG1opeAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've seen the interplay of bias and variance, and we've seen how hyperparameter, here `d` and `k` must be fit by cross-validation, using a nested scheme. \n", "\n", "See Chris's notebook for bad consequences that might arise otherwise! \n", "\n", "(http://nbviewer.ipython.org/urls/raw.github.com/cs109/content/master/lec_10_cross_val.ipynb)\n", "\n", "We'd touched on regularization last time, and will revisit regularization next time in the bayesian scheme, and see how regularization parameters control bias and variance.\n", "\n", "Finally, we'll put all this together to come up with a strategy for evaluating classifiers and improving our predictions, using this notion of the bias-variance tradeoff, and hyperparameter estimation." ] } ], "metadata": {} } ] }