Skip to content

Instantly share code, notes, and snippets.

@fdeheeger
Last active December 10, 2015 13:39
Show Gist options
  • Save fdeheeger/4442446 to your computer and use it in GitHub Desktop.
Save fdeheeger/4442446 to your computer and use it in GitHub Desktop.
First try of Bayesian stuff in OpenTURNS Still confused with objects ...
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "OpenTURNS_and_MCMC_modelUpdating"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# OpenTURNS, MCMC and prediction model updating\n",
"\n",
"example from OT sources use case.\n",
" The idea is to fit a linear regression model (seen as a computer code parameters)\n",
"using a Metropolis-Hastings algorithm.\n",
"\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# useful modules\n",
"import openturns as ot\n",
"import numpy as np\n",
"import scipy.stats as st\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# model definition\n",
"# this function return a polynomial model from the given parameters\n",
"# theta that are the coefficients of a linear model in dim 3\n",
"\n",
"def buildPoly(theta):\n",
" \"\"\"\n",
" Returns the linear regression function associated to a given set of covariates\n",
"\n",
" Inputs:\n",
" ------\n",
" theta: ot.NumericalPoint(d)\n",
" The parameters\n",
"\n",
" Outputs:\n",
" --------\n",
" f: ot.LinearNumericalMathFunction\n",
" The regression function, which associates to each\n",
" NumericalPoint of length d the NumericalPoint(2)\n",
" containing: its scalar product with x and the value of sigma (=1.0)\n",
" \"\"\"\n",
" n_param = theta.getDimension()\n",
" center = ot.NumericalPoint(n_param) # what that F. thing, normalization stuff?\n",
" # why does it have the shape of theta?\n",
" constant = ot.NumericalPoint(2) # output dim 2.. why not..\n",
" constant[1] = 1.0 # sigma\n",
" \n",
" linear = ot.Matrix(2, n_param) \n",
" for i in range(n_param):\n",
" linear[0, i] = theta[i]\n",
" \n",
" return ot.LinearNumericalMathFunction(center, constant, linear)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# observations\n",
"y_obs_ = np.array([[-9.50794871493506,\n",
" -3.83296694500105,\n",
" -2.44545713047953,\n",
" 0.0803625289211318,\n",
" 1.01898069723583,\n",
" 0.661725805623086,\n",
" -1.57581204592385,\n",
" -2.95308465670895,\n",
" -8.8878164296758,\n",
" -13.0812290405651]]).T\n",
"obsSize, obsDim = y_obs_.shape\n",
"y_obs = ot.NumericalSample(y_obs_)\n",
"print(y_obs)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0 : [ -9.50795 ]\n",
"1 : [ -3.83297 ]\n",
"2 : [ -2.44546 ]\n",
"3 : [ 0.0803625 ]\n",
"4 : [ 1.01898 ]\n",
"5 : [ 0.661726 ]\n",
"6 : [ -1.57581 ]\n",
"7 : [ -2.95308 ]\n",
"8 : [ -8.88782 ]\n",
"9 : [ -13.0812 ]\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# covariates (values that generate the observations)\n",
"chainDim = 3\n",
"\n",
"x = ot.NumericalSample(obsSize, chainDim)\n",
"for i in range(obsSize):\n",
" for j in range(chainDim):\n",
" x[i,j] = (-2+5.*i/9.)**j\n",
"\n",
"print(x)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0 : [ 1 -2 4 ]\n",
"1 : [ 1 -1.44444 2.08642 ]\n",
"2 : [ 1 -0.888889 0.790123 ]\n",
"3 : [ 1 -0.333333 0.111111 ]\n",
"4 : [ 1 0.222222 0.0493827 ]\n",
"5 : [ 1 0.777778 0.604938 ]\n",
"6 : [ 1 1.33333 1.77778 ]\n",
"7 : [ 1 1.88889 3.5679 ]\n",
"8 : [ 1 2.44444 5.97531 ]\n",
"9 : [ 1 3 9 ]\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# OT jargon !!\n",
"\n",
"# Define the function which associates to a given calibration parameter value\n",
"# the corresponding parameters for the distribution of all observations\n",
"modelCollection = ot.NumericalMathFunctionCollection()\n",
"for x_i in x:\n",
" modelCollection.add(buildPoly(x_i))\n",
"\n",
"model = ot.NumericalMathFunction(modelCollection)\n",
"\n",
"# calibration parameters\n",
"calibrationColl = ot.CalibrationStrategyCollection(chainDim)\n",
"\n",
"#proposal distribution : Random walk with uniform proposal\n",
"proposalColl = ot.DistributionCollection()\n",
"for i in range(chainDim):\n",
" proposalColl.add(ot.Uniform(-1.,1.))\n",
"\n",
"#prior on theta\n",
"sigma0 = ot.NumericalPoint(chainDim, 10.) # sigma0= (10.,10.,10.)\n",
"Q0 = ot.CorrelationMatrix(chainDim) # precision matrix\n",
"Q0_inv = ot.CorrelationMatrix(chainDim) # variance matrix\n",
"for i in range(chainDim):\n",
" Q0_inv[i,i] = sigma0[i]*sigma0[i]\n",
" Q0[i,i] = 1.0 / Q0_inv[i,i]\n",
"\n",
"mu0 = ot.NumericalPoint(chainDim, 0.0)# mu0 = (0.,0.,0.)\n",
"prior = ot.Normal( mu0, Q0_inv)# x0 ~ N(mu0, sigma0)\n",
"print 'pi(theta)=', \n",
"print prior"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"pi(theta)= Normal(mu = [0,0,0], sigma = [10,10,10], R = [[ 1 0 0 ]\n",
" [ 0 1 0 ]\n",
" [ 0 0 1 ]])\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"zz = modelCollection[0]\n",
"print zz"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"NumericalMathFunction :\n",
" input : [x0,x1,x2]\n",
" output : [y0,y1]\n",
" evaluation : NumericalMathEvaluationImplementation\n",
" gradient : (x0, x1, x2) ->\n",
" [[ 1 0 ]\n",
" [ -2 0 ]\n",
" [ 4 0 ]]\n",
" hessian : (x0, x1, x2) ->\n",
"sheet #0\n",
" [[ 0 0 0 ]\n",
" [ 0 0 0 ]\n",
" [ 0 0 0 ]]\n",
"sheet #1\n",
" [[ 0 0 0 ]\n",
" [ 0 0 0 ]\n",
" [ 0 0 0 ]]\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"zz([1, 2, 0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 7,
"text": [
"class=NumericalPoint name=Unnamed dimension=2 values=[-3,1]"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \n",
"\n",
"#start from the mean\n",
"x0=(0.,0.,0.)\n",
"\n",
"#conditional distribution y~N(z, 1.0) P(measure | model prediction)\n",
"conditional = ot.Normal()\n",
"print 'y~', conditional\n",
"\n",
"#create a metropolis-hastings sampler\n",
"sampler = ot.RandomWalkMetropolisHastings(prior, conditional, model, y_obs, mu0, proposalColl)\n",
"sampler.setVerbose(True)\n",
"sampler.setThinning(4)\n",
"sampler.setBurnIn(2000)\n",
"sampler.setCalibrationStrategyPerComponent(calibrationColl)\n",
"#Generate a sample from the posterior distribution\n",
"sampleSize = 2000"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"y~ Normal(mu = 0, sigma = 1)\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sample = sampler.getSample(sampleSize)\n",
"#print acceptance rate\n",
"print 'acceptance rate=',\n",
"print sampler.getAcceptanceRate()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"acceptance rate= [0.4831,0.3007,0.1349]\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Convergence plot\n",
"plt.figure(figsize=(10, 6))\n",
"muPost = np.array(sample)\n",
"for i in xrange(3):\n",
" plt.subplot(3, 1,3-i)\n",
" plt.plot(muPost[:,2-i])\n",
" plt.ylabel(\"x\"+str(3-i))\n",
" plt.xlabel(\"iterations\")\n",
"plt.title(\"Convergence plot\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAnAAAAGFCAYAAAB9pM6UAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhoaGhoaGRg3D/wf7u42EZhVcfAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x3cc2c10>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Marginal prior vs. posterior densities\n",
"plt.figure(figsize=(10, 6))\n",
"e = 1E-2\n",
"for i in xrange(3):\n",
" plt.subplot(3, 1,3-i)\n",
" plt.hist(muPost[:,2-i], bins=100, color='gray', alpha=0.2, normed=True)\n",
" kde = st.kde.gaussian_kde(muPost[:,2-i])\n",
" xx = np.arange(st.mstats.mquantiles(muPost[:,2-i],e), st.mstats.mquantiles(muPost[:,2-i],1-e), .01)\n",
" plt.plot(xx, st.norm.pdf(xx, loc=mu0[2-i], scale = np.sqrt(Q0_inv[2-i,2-i])))\n",
" plt.plot(xx, kde.evaluate(xx))\n",
" plt.xlabel(\"x\"+str(3-i))\n",
" \n",
"plt.legend((\"prior\", \"posterior\"))\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAF6CAYAAADbIxbPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlYVNX/B/D3ZV9EAVGUAUU2WZTFQFxxUFEhRdwKzSxX\nck3L0swU1NSsvmVqalaammZZJi7g2oipgPuugAqyuK8IKjjc3x89zs+BYdgGhuX9ep55nrlnzj3z\nmetl/Mw5554riKIogoiIiIgqTEfbARARERHVFkysiIiIiDSEiRURERGRhjCxIiIiItIQJlZERERE\nGsLEioiIiEhD1CZWI0aMgLW1NVq3bl1snUmTJsHZ2RleXl44efKkxgMkIiIiqinUJlbDhw9HbGxs\nsa/v3LkTKSkpSE5Oxg8//ICxY8dqPEAiIiKimkJtYtW5c2dYWFgU+3p0dDTeeecdAIC/vz8ePnyI\nW7duaTZCIiIiohpCryI7Z2Zmws7OTrFta2uLjIwMWFtbK9UTBKEib0NERERUpcp7Y5oKT14v/MbF\nJVGiKPJRzsfs2bO1HkNNffDY8fjx+NXcB48fj522HhVRocRKIpEgPT1dsZ2RkQGJRFKhgIiIiIhq\nqgolVqGhoVi7di0AID4+Hubm5kWGAYmIiIjqCrVzrAYPHowDBw7g7t27sLOzQ1RUFPLz8wEAERER\nCAkJwc6dO+Hk5ARTU1OsXr26SoKua6RSqbZDqLF47CqGx69imjZtiri4OKUyExMT+Pr6aimimoXn\nX/nx2GmPIFZ0MLE0byIIFR6zJCKqaeLi4uDk5KRUlpKSgoCAAC1FRESlUZG8pUJXBRIREVH5WVpa\n4sGDB9oOo86ysLDA/fv3NdomEysiIiItefDgAUd0tKgyloPivQKJiIiINIQ9VkRUbR07dgy5ublK\nZRWZ/F24PU4kJyJNY2JFRBpPYDQlNzdX5eRvTbVXkbaIiFRhYkVEGk9giIjqKs6xIiIiogo5ePAg\nXF1dtR1GtcAeKyKqsy5fvlykLC0tDc2bN1cqqw7DokTVWefOnXHp0iVth1EtMLEiojorLy+vyBDo\n2bNnOSxKVAYvXryAnl7504mCggLo6NSeAbTa80mIqE64fPky4uLilB7Hjh3TdlhEtY69vT0WLlwI\nDw8PWFpaYsSIEXj+/DlkMhlsbW2xaNEiNG3aFCNHjoRMJoOdnZ1i34sXL0IqlcLCwgKtWrXCtm3b\nFK+9++67GDt2LEJCQlCvXj3IZDItfLrKU2JiFRsbC1dXVzg7O+OLL74o8vrdu3fRq1cveHt7o1Wr\nVlizZk1lxElEBOD/e5lefRS+opGINGPDhg3YvXs3rly5gqSkJMybNw+CIODWrVt48OABrl+/jpUr\nVyrtk5+fjz59+qBXr164c+cOlixZgrfeegtJSUmKOhs3bsRnn32GJ0+eoGPHjlX9sSqV2r47uVyO\nCRMmYO/evZBIJPDz80NoaCjc3NwUdZYuXQofHx8sWLAAd+/eRcuWLTF06NAKdQsSEVUFURTx6Pkj\nPM57jOy8bDzJf4Lzeeehd1UPAgToCDrQFXTx6MEjmN8yh6WxJaxNraGvq6+yvcLLViQnJxcZViQq\nC00tDF6exd0FQcCECRMgkUgAAJ9++ikmTpyI7t27Q0dHB1FRUdDX14e+vvLfQ3x8PHJycjB9+nQA\nQGBgIHr37o2NGzdi9uzZAICwsDC0b98eAGBoaFiBT1b9qM1+EhMT4eTkBHt7ewBAeHg4tm7dqpRY\nNW3aFGfOnAEAPH78GA0bNmRSRUTVxsNnD5F0LwlJ95Kw5+oe5Gbk4kbODdzIuYGMRxkw2GgAc0Nz\nmBmYwVTfFLlPc3H96nUAQIFYgBcFL5B2Mw1Lkpfgcf5jPH7xGFYGVmhWrxnaO7VHW0lb+Ev8YW9u\nX2TZirNnz2rrY1Mtoe273bw6vNesWTNkZWUBABo1agQDAwOV+2RlZSntBwDNmzdX7CsIAmxtbSsp\nYu1TmwFlZmYqHRxbW1skJCQo1Rk9ejS6du0KGxsbZGdn4/fff6+cSImI1MiX5+PS3Us4dfMUTt48\niVM3T+Hc7XN4+uIpXBq6wKWhCwxggI42HdHUtCmamjbF0X1HMXjAYKV2tmzZgn7d+xUt6/dfWZ48\nDxlPMnDo4iEUmBTgt3O/YcquKdARdOBTzwdhumHoLOkMMwOzKvvsRJXl+vXrSs9tbGwAqL/Hno2N\nDdLT0yGKoqJeWlpanVmOQW1iVZqbE86fPx/e3t6QyWS4cuUKgoKCcPr0aZiZKX+pREZGKp5LpVJI\npdJyBUxE1Ye2VmwXRRGpj1Nx7NYxHLt1DEczj+L6weuwa2AHnyY+8G7ijWkdp6FV41awMbNRfJfF\nxcUp9yjplL1HyUDXAA4NHFBgVYCAzgGKeJLvJ2Np7FKsv7QeHxz4AAG2AbB5boPX5a/DQFf1L3ui\n6kwURXz//ffo3bs3jI2N8fnnnyM8PLzE/fz9/WFiYoJFixbhgw8+wKFDh7B9+3ZFHlAdbzotk8k0\nNolebWIlkUiQnp6u2E5PTy/SfXf48GF8+umnAABHR0e0aNECly9fLvLF+mpiRUS1Q1Wt2C6KIlIe\npuBA5gH89fgvRP0aBT0dPfha+8LP2g/tTdpjWM9hqGdQT+PvXRqCIMCloQsG2g3EdKfpePj8IXZc\n24GV6Svx54Y/8abLm3jH/R3YmdmV3BhRNSEIAoYMGYIePXogKysLYWFhmDlzJuLj41V2vLwsMzAw\nwLZt2zBu3DgsWLAAtra2WLduHVxcXBT1StNxU5UKd/hERUWVuy21iZWvry+Sk5ORmpoKGxsbbNq0\nCRs3blSq4+rqir1796Jjx464desWLl++DAcHh3IHRER1Q0m9Xfef3sfeW3vxfeb3iMuMg66giy62\nXeBt4I0fev8AST2J4st5x44dOBF/oti2KoOqxUVfTlY3NzTHW65vweSiCXy6+eCXC78geEsw2jZp\niz4N+yAAAZUWF5Em+fn5Ydq0aUplUqlUaYhQVZm7u3uxPUCrV6/WeJzVidrESk9PD0uXLkXPnj0h\nl8sxcuRIuLm5KS6tjIiIwIwZMzB8+HB4eXmhoKAAixYtgqWlZZUET0Q1l6rerkPnDuFIwhH8fflv\nHMs6htZmrRHiEoIJ3hPQon4LCIKALVu2wNZMuedc1UKflb2oZ3GLixZmX98es9vNxkevfYTNyZvx\n+fHP8ef9P/FZwGeQ2kshCEK1vQk2EZVdiZfvBQcHIzg4WKksIiJC8dzKykpp4S8iorLIepKFrVe2\nYuvVrbj+6Dr6efTDpLaTEOQYhGNHjtWa5QpM9E0wzH0Y2uq1Rbp5OiK2R6CxaWN8FvAZjHKM4Ozs\nrFSfq70T1UxcF4GIqtyDpw+wLWsbDl06hIv3LyLEPgQz286EVY4Vukq7aju8SnUl+QpatmyJlZ4r\n8c/tfxCxJQIGLwzwdf2v8Zr1a9oOj0jh2rVr2g6hRmJiRURVQhRFHEg7gFUnVmFH0g741PfBSO+R\n6GrXFYa6/y0QWBd6aV4dQmzp3BKj24/GJ5s+QcS+CHhZeWG633Q4WziX0ErxOKxIpF1MrIioUt3O\nuY1fTv2CVSdWwUDXAGNeG4MlwUtw7ug5ONnXjmG+itDV0UV7o/aI6hOFXy78ggHbB6BH8x7ob9m/\nXO1V1ZWaRKQaEysiqhSnbp7C4oTF+PvS3+hk1QlT7KfAvb47hOcCzh09V+m3e1F31V51ZKxnjPc8\n38PgloPx/envMfLoSJzQPYHpnaajvmF9bYdHRKXExIqINEZeIMe/d/7F7F9mI/leMsb7jUfKxBSc\nP3a+VFfQaVJpr9qrbhoYNsAnbT+B1FSK7U+2o+XSloiSRmGEzwjo6fArm6i6418pEVVYfkE+/k75\nG9+d+g6GBYaY1WMWBrgNKPZmxcUp3MtUnXuYKlsjw0ZYHbQaJ26cwAe7PsCSxCX4usfX6OHYQ9uh\nEZEaTKyIqNyey59j7YW1+P7M92hm1gwLOy3EgxMPYHPfBkcOHVHUK22CVLiXqSb0MFW2Nk3b4J93\n/kH05WiM3zkezpbO+KrHV3Bv5K7t0Iiq3IIFC3D16lWsWrVK26EUi4kVEZVZnjwPP574EZEJkfBs\n7IllgcsUSwVsSdhSI4fgqjNBENDXtS+CnYOx/OhySNdIMdB9ICKlkWhs2ljb4RGVyrvvvgs7OzvM\nnTu33G188sknGoyocjCxIiKVVE3+NjI2whWjK/jsn8/gZOmEz1t/jtd9XtdCdHWTga4B3m/3Pt72\nehtzDsyB+zJ3fNzxY0zynwQjPaNi91P1b8klGKimkcvl0NXVLde+L168gJ5e1aQ8OlXyLkRU47wc\nlnNycoKjoyPSDdPxVtxb+DbhW6zqswqxQ2PR0qyltsOskyyNLfFtr29xeORhHE4/DLdlbvjj/B8Q\nRVFl/Vf/LV8+Cq91RVSYvb09Fi5cCA8PD1haWmLEiBF4/vw5AGDVqlVwdnZGw4YN0bdvX9y4cUOx\n35QpU2BtbY0GDRrA09MT58+fxw8//IANGzZg0aJFMDMzQ9++fQEAWVlZGDBgABo3bgwHBwcsWbJE\n0U5kZCQGDhyIt99+Gw0aNMCaNWsQGRmJt99+W1EnOjoaHh4esLCwQGBgIC5duqQU/6JFi+Dp6Qkz\nMzMUFBRU9iEDwB4rIipBysMURB6JRFp2Gt5t/i5mDphZ7e5MXxcUt/Dn3+F/459r/+D92Pex8vhK\nvNPoHTih7BP+ubAoqbJhwwbs3r0bJiYm6NOnD+bNm4fAwEDMmDEDe/bsgbu7O6ZOnYrw8HAcOHAA\nu3btwsGDB5GcnIz69evj8uXLaNCgAcaMGYMjR47Azs4Oc+bMAQAUFBSgT58+6NevHzZt2oT09HR0\n794dLVu2RI8e/12kER0djc2bN2PdunV49uwZvvjiC0VsSUlJGDJkCLZu3QqpVIr//e9/6NOnDy5e\nvKjonfrtt98QExMDKysr6OhUTV9SiYlVbGwsJk+eDLlcjlGjRhW5yzUAyGQyTJkyBfn5+bCysir2\njtZEVHM8LXiKqPgobE7ejIneE/Gu+7u4fu06kyotUbfwZ2CLQJyIOIFlicswcf9EDH42GFN8pqCe\nQT2NtE/aI0Rp5u9NnK26N1PtewsCJkyYAIlEAgD49NNPMXHiRNy4cQMjR46Et7c3gP8mlFtYWOD6\n9eswMDBAdnY2Ll68CD8/P7Rsqdyr/Wqv6tGjR3H37l3MnDkTANCiRQuMGjUKv/32myKx6tChA0JD\nQwEARkZGSvtv2rQJvXv3Rrdu3QAAU6dOxeLFi3H48GEEBARAEARMmjRJEX9VUZtYyeVyTJgwAXv3\n7oVEIoGfnx9CQ0Ph5uamqPPw4UOMHz8eu3btgq2tLe7evVvpQRNR5SkQC/B70u+Y+2Auejfqjf0D\n9qORSSNth0Ul0NPRw/vt3kez7GbYcGcDpJulmNl2Jvo69tV2aFQB5UmINMnOzk7xvFmzZsjKykJW\nVhbatGmjKDc1NUXDhg2RmZmJwMBATJgwAePHj0daWhr69++Pr776CmZmZkXaTktLQ1ZWFiwsLBRl\ncrkcAQEBim1bW9tiY8vKykKzZs0U24IgwM7ODpmZmSrjrypqE6vExEQ4OTnB3t4eABAeHo6tW7cq\nJVYbNmzAgAEDFB/eysqq8qIlokqV9CAJ0/6dhnx5Pt5r8B7eD3hf6XWuM1W9qJqUfv/6fSwOXoyj\nN49ixqEZ+PXSr+gu766F6Kg2uH79utJzGxsb2NjYIC0tTVGek5ODe/fuKXqGJk6ciIkTJ+LOnTt4\n44038OWXX2LOnDlFerubNWuGFi1aICkpSeV7C4KgtodcIpEoXXEsiiLS09OVeqi00cOuNrHKzMxU\nyvZsbW2RkJCgVCc5ORn5+fkIDAxEdnY23n//faWJZS9FRkYqnkulUkil0opFTkQa81z+HIuOLcK6\ni+sw9bWpGOo6FNFbo4vU4zpT1Yu61eX9mvghpl8M1lxYg0Xxi5B/Kh8RnhHQ1ynboq1Ud4miiO+/\n/x69e/eGsbExPv/8c4SHhyMwMBCDBw/GkCFD4OrqihkzZqBdu3Zo1qwZjh07BrlcjjZt2sDExARG\nRkaKK/msra1x9epVRftt27aFmZkZFi1ahIkTJ8LAwAAXL17Es2fP4OvrW+zFGC8NGjQICxcuxP79\n+9G5c2csXrwYRkZG6NChQ5k/q0wm09g0JrWJVWkyvfz8fJw4cQL79u1Dbm4u2rdvj3bt2sHZWfnu\n7K8mVkRUfey/th8jjo6AVxMv7Om/B01Mm2g7JNIQPR09jGo1CuIlEfuz9iP6ajS+Dvgara1aazs0\nqgEEQcCQIUPQo0cPZGVlISwsDDNnzoSRkRHmzp2LAQMG4MGDB+jYsSN+++03AMDjx48xZcoUXL16\nFUZGRujVqxc++ugjAMDIkSMxaNAgxRV8f/31F7Zv344PP/wQDg4OeP78OVxdXTFv3jzF+xfOQ14t\na9myJdavX4+JEyciMzMTPj4+2LZtW7mWVSjc4RMVFVWeQwaghMRKIpEgPT1dsZ2enl5kvNPOzg5W\nVlYwNjaGsbExAgICcPr06SKJFRFVL3dz7+LD3R9ClirDOKdxeKfdO9oOiV6hyWFXK10rbAjegM3J\nmzE0dijCXcLR15xzr6hkfn5+Ki9ai4iIQERERJHyrl274vTp0yrbcnJywsmTJ5XKmjZtig0bNqis\nP3v27BLLwsLCEBYWpnL/a9euqSyvbGqvPfT19UVycjJSU1ORl5eHTZs2KWbnv9S3b1/8+++/kMvl\nyM3NRUJCAtzdeasFoupKFEWsObUGHt97oKFxQ5wfdx4drTpqOywqpPDaU8+ePatQe4IgYJDLIOzt\nvxdJD5Mw9vhYnLt9TkPREtFLanus9PT0sHTpUvTs2RNyuRwjR46Em5sbVq5cCeC/jNXV1RW9evWC\np6cndHR0MHr0aCZWRNVU0r0kvLf9PTx+/hgxb8WgTdM2Je9EtUojk0b4OehnLPl3CQJ/CcQnnT7B\n5HaTtR0WUa1R4kBkcHAwgoODlcoKd/9NnToVU6dO1WxkRFRhLxd9zCvIw8brG/Fnxp8Y6TwSX7z9\nBfR0uD5wXSUIAkKahmBMjzEYtmUYtidtx7im48q1sCjVXtoaSqvpeEsbolosNzcX90zvYdzpccgo\nyMDegXvR17ovkyoCADhYOODAuwcQ5BCEMcfGYFfqLm2HRFTj8duVqJa6//Q+vrz0JY4/Po65Heai\nV/NeEAQBKeBq2qQ8Ob4jOiLbPBuzjszC4RuHMaPtDBjqGmoxOqKaiz1WRLWMKIrYcHYDPL73gIGO\nAf4Z+A+C7YN5KxpSUnhyvESUYFf/Xch8kom+0X1x7RGHgYjKgz1WRLVIyv0UjN85Hree3MLW8K14\nduUZzAyK3kqCSBVzQ3Os6r4Kay6sQWh0KCY4TEAAAkrekcrNwsKCP3q06NXb6WgKEyuiaublhPNX\nmZiYwNfXt9h9Hj17hHkH52HV0VUY0mwIprlOw7Mrz3jLGSozQRAw3GM4fK19MTJ2JG5su4Fve30L\nE30TbYdWK92/f1/bIZCGcSiQqJrJzc1VGqJxcnIqkmi9JC+QY+WxlWi5tCUePnuINW3XYGbXmXB1\ncdXI2kdUd7W2ao0ffX9ETn4O2q5qiwt3Lmg7JKIagT1WRFqkqneqtL1M+6/tx5RdU2BuZI6Yt2Lg\n09QHcXFxlRUq1UEmeiZY3289Vp9ajS5rumBht4UY4TOCQ1dEajCxItKil71TryrpxsZX7l/B1D1T\ncfrmaXwZ9CX6u/Xnf3RUaQRBwAifEWhn2w5vbn4Te6/txcreK1HfsL62QyOqljgUSFRDPH7+GB/v\n+Rj+P/rDX+KPC+MvYID7ACZVVCXcG7kjcVQizI3M0WZlGxzLOqbtkIiqJfZYEVVz8gI5fjzxI3Yc\n2oF2Ddthlc8qNCxoiHOnzqmd0E6kacb6xlj++nL8cf4PhPwagumdpmNyu8k4cfxEmS+4IKqtmFgR\nVWNHbhzB7COz8SznGX7t/Ss8G3kqXktJ4UKfpB2DPAbB18YXg/8cjL1X92J049Hw9/BXqsPzk+qq\nEhOr2NhYTJ48GXK5HKNGjcK0adNU1jt69Cjat2+P33//Hf3799d4oER1SdrjNMxLmIczd89gpv9M\n5J/KV0qqiKrCq6uzv/SyJ6qFRQscHH4Qc+LmYFT8KCwwXoDeDr2Lbas8y4gQ1URqEyu5XI4JEyZg\n7969kEgk8PPzQ2hoKNzc3IrUmzZtGnr16gVRFCs1YKLaLDsvG1tztuKzvz/DmNZj8F3gdzDWM8aW\n01u0HRrVQS9XZ3/Vqz1R+rr6mBs4F5IcCb449gViU2Mxr+M8mBuaF2lL1YUa7NWi2khtYpWYmAgn\nJyfY29sDAMLDw7F169YiidWSJUswcOBAHD16tNICJarN5AVy/J70O748/iXsC+yxd8BeNDFtUinv\npaoXgguJUkW413fH7v67MT9xPrr/2R2LOi9CMzTTdlhEWqE2scrMzISdnZ1i29bWFgkJCUXqbN26\nFfv378fRo0eLvUIpMjJS8VwqlUIqlZY/aqIaoLRDH/E34jH7yGwY6xljdY/VuPrv1UpLqgDVvRAl\nLfFAVBJjPWPM7TAXPZv3xEcHP4KTsRPW+6xHU7Om2g6NqEQymQwymUwjbalNrEpzGffkyZOxcOFC\nCIIAURSLHQp8NbEiqgtKGvq49uAaZp+bjeSnyZjZdib6OPSBIAi4iqtVHSqRxnSSdML+gfsRuT8S\nnis8MbvLbIz1HavtsIjUKtzhExUVVe621CZWEokE6enpiu309HTY2toq1Tl+/DjCw8MBAHfv3kVM\nTAz09fURGhpa7qCIarPs59lY8O8CrDy+EmFNwvBj7x9hrGdc5nY4pEfVlbGeMQLyAxDUKgj/O/w/\nLP13KQYaD+S5SXWC2sTK19cXycnJSE1NhY2NDTZt2oSNGzcq1bl69f9/XQ8fPhx9+vRhUkWkQoFY\ngJ03dmLwssHo1qIbzrx3BldOXSlXUgVwSI+qt7y8PLzu9Tq6eXbD5uTNmH1wNs7tP4fpvtPRrH71\nmn/FKxZJk9QmVnp6eli6dCl69uwJuVyOkSNHws3NDStXrgQAREREVEmQRDVdwo0EzI6fjYK8Amx5\ncwvaStoCAK7gipYjI6pcgiBgkMsgyM/JccP8BoL/DsYg50EY5zVO26Ep8IpF0qQS17EKDg5GcHCw\nUllxCdXq1as1ExVRLZH2OA3zE+fjxO0TmNF2BlqJrRRJFVFdYigYYkqbKRjiOgTLTi1D4OZABDUK\ngrOPc6VNcGdPFGkD7xVIVAkePnuI5SnLEfJ3CNws3RD3Rhz6OfXjff2ozrM2scacDnOwb8A+iBDh\n/r07RkaPxLnb5zT+Xi97ol59FE60iDSNt7Qh0qB8eT5+OP4D5sTNgV99P+wfuB/WJtaK1wtPOOdk\nc6qrmpg2wUTniVg+eDlWHFuBoHVBaN24NUa3GY3QlqEw1DPUdohE5cLEiqiMVA0vGBsb41aDW5i6\neyps69ti99DdeJT0SCmpAopOOOdkc6rrrEysMDNgJj7q8BH+uPAHlh9bjnE7x2FI6yEY7j0c3k28\nVe5X+O+QQ3xUXTCxIiqjwhNdz987jw/++QA5ujn4usfXCHEOgSAIiEuK02KURDWLoZ4hhnoOxVDP\nobj24BrWnF6Dvr/1hbmROQa6DUR/t/5wb+SuGE4v/HfIyeZUXTCxIiqnrCdZ+PrE19h7fS/etnsb\nX7zxBfR19bUdFlGN18KiBaKkUZjdZTYOph3EigMrsPTIUhjqGCKgUQA6WnWE7i1dDqNTtcTEiqiM\nHuU/wpz4OdiUtAlvub6Fg28cxO3rt5lUEWmYjqCDLvZdIFwX8FX3r3Dm7hnEpMZgaepSpD5IRfTe\naHSx7YIuki7aDpVIgYkV0SvUzdt4kvcE3xz5Bl8nfI1Qp1DsG7BPcU+/27itlXiJqpq2VvwXBAFe\njbzg1cgL0/2mY82fa2DazBQHMg7gi6NfwFTHFH1z+qKnY09I7aUwNTCt1HiIisPEiugVquZtPH/x\nHCuPr8T8g/PRzaEbvm/zPaSeUu0FSaRF1WXF/wY6DdDPpR8GuQxCgViA2FOxuGt2F18d+Qrhf4bD\nX+IPFx0XDGo4CC7mLlzqhKoMEyuiYjx98RR/ZvyJId8NgXcTb+waugteTbwQF8dJ6UTViY6gAxcz\nF4zqNArTO01H9vNs7L+2H6sPrsaw2GGQi3IE2gYi0C4QzeTV63Y6VPswsSIqJDc/F+sursOKMytg\nI9pglscsuNZ3xaOkR4hLilM57MEbIhNphqrlTMr6t2RmaIa+rn1hcdsCjo6OuProKvan78fai2tx\n4uYJBN8NxgC3AXjd+XWYGZpp+iNQHVdiYhUbG4vJkydDLpdj1KhRmDZtmtLrv/76KxYtWgRRFGFm\nZobly5fD09Oz0gImqiyPnz/G+rT12BK/Be2atMOvwb/ictxl9G7TW6meqmGP6jI8QlTTqbpvX0X+\nlgRBgKO5IxzNHTG69Wgcv3gcdyzvYO3ptRizbQyCHIPgp+cHewd76Omwr4EqTu1ZJJfLMWHCBOzd\nuxcSiQR+fn4IDQ2Fm5uboo6DgwPi4uLQoEEDxMbGYsyYMYiPj6/0wIkq6uUv49vPbuPPjD8RczMG\nbvpu+OP1P+Bi4QIAuIyiPVFEpBna6OltoN8AfXz6YITPCDx89hB/nP8Di+MW49sr32Kg80C86fIm\nHM0di+zH+w5SaalNrBITE+Hk5AR7e3sAQHh4OLZu3aqUWLVv317x3N/fHxkZGZUTKZGGnbh5AjEP\nYyDLkGGQ8yDs6rgLx/YeUyRVRFS5tN3Ta25kjtGvjUbLnJYQG4rYlLQJA7YPgJO5E0IahqBjQUfo\n6ugCUN2TxkVJSRW1N2HOzMyEnZ2dYtvW1haZmZnF1v/pp58QEhKiueiINExeIMffl/5GwOoAzDo3\nC16NvHAk/Agi20fCzsyu5AaIqFZytnDGTP+ZODrkKIa5DcPG6xvhtMQJ/zvyPzx69kjb4VENorbH\nqiyXp/61f6/LAAAgAElEQVTzzz/4+eefcejQIZWvR0ZGKp5LpVJIpdJSt030UnnvD5aVnYWfTvyE\nVSdWQVJfgintpsDqjhVcXVwrM1wiqiKaGlbU19FHqGMo3EV3GDoYYnHCYsyLm4fuVt0xvel0xdp1\nVLvIZDLIZDKNtKU2sZJIJEhPT1dsp6enw9bWtki9M2fOYPTo0YiNjYWFhYXKtl5NrIhKo7irg4KD\ngxXb6rriC8QC7L26FyuOrYAsVYY3W72J6MHRipu6ctkEotqjtMOKpU3ALl++jJZoifcavYf+Zv2x\n8uxKdPuzG/o49MFYz7FoXr+5Zj8AaVXhDp+oqKhyt6U2sfL19UVycjJSU1NhY2ODTZs2YePGjUp1\nrl+/jv79+2P9+vW8tJw0qrxXB6U/Ssf6M+vx48kfUd+wPt577T38EvYLL6smolInYK/Wc4ITbiXf\nwv/C/ocfz/2I1/9+HV3tuqKPZR8EIKBK4qaaQ+0cKz09PSxduhQ9e/aEu7s73nzzTbi5uWHlypVY\nuXIlAGDOnDl48OABxo4dCx8fH7Rt27ZKAid6VU5eDtadXofua7uj1bJWOHLpCD5y+Ajfun4Lt1w3\nXD7Lq/uIqGIaGjfENL9pOBx+GM4Wzvjg1Afov6k/jmUd03ZoVI2UuGhHcHCw0tALAERERCie//jj\nj/jxxx81HxlRCQrEApx8cBKrt67G35f+Rge7DhjdZjSm2U2DR0sPpbq8eoeINKW+QX1M9J6IQONA\nXDK5hH6b+sHNyg2fdPoEUnspb59Tx3E1NKpRRFHEhXsXsO3qNmy5sgUFTwvQt3lf/NzmZzQ0bAjc\nB5KvJhdJrIiINM1I1wiT/CfhPd/38OuZX/HejvdgYWSBTzp9gj4t+0BHUDsoRLUUEyuqEZIfJCP6\najR+ffgr9HbroY9DH/zY/UckxSWhf9f+SnUrMmGViKi0Xv1ecYQjVrRegcTHiZgTNwef7v8U0ztN\nR3ircI2u6M6FSqs/JlZUbWXkZmDHyR3YdnUbHjx7gN4OvTG03lBMHjRZ8UswWUguVVvaXoiQiGof\nVd8ruim6+Lj3x9hzdQ8W/LsAM/bNwHi/8Rj92mhYGltW+D25UGn1x8SKKlVZfl2JooiTN09i6+Wt\niL4cjbR7aQh1DsW8DvPQtklb6Ag62HJzC7vXiahaEwQBPRx7oIdjDxzPOo4liUvg+J0jBrkPwsS2\nE9HaurW2Q6RKxMSKKlVJv67y5HmQpcoUyZSRnhH6tuyL73p9h/xr+VzAk4hqtNdsXsOasDW4nXMb\nPxz/Ab1+7QUHCwe86/Uu3vB4g8vA1EJMrKhKiaKI1JxUnEo4hT1X9yAuLQ4ejTwQ2jIUu4fuhquV\nq+KKmrg0LuBJRDWLqvmcL3vpZwbMxLSO0xCTEoPVp1Zj6p6pCG0Zine93kUX+y7sja8lmFhRpRJF\nERnZGUi8lYi4jDj8m/UvRLmI3u69MbT1UKzuuxpWJlbaDpOISCNUzbvasWOH0pQIc5jjU8dPsbL3\nSmw4uwFTdk1B5sNMBFgFoEvjLmjdoDV0BV1OSq+hmFiRRj178QwnbpzAkfQjOJJxBAeuHAB0AT9r\nP3SWdMYkn0mQ35ajS5cu2g6ViKhKqEq2UlJS0Ni0MSa3m4zJ7Sbj19hfcUZ+Bj9c+wGjW43GIOdB\nnJReQzGxonLbe3gvzt05h6tPruJKzhVceXIFablpcG/sjva27dHPtR8GNhiIzq06Ky2Yt+PfHUUW\n0OMvMyKqy+xM7BDoFIj3fd6HKIraDocqgIkVlYm8QI7Q30Jx+uZpPMx9CHcrd7hZuiHAMQARlhEw\nfGiInoE9FfXjHsYVSaKK+/VGRETgyu01HBOrGkAmkynddbsiCi9/kJaWhubNle/Srqr36NX9Ao0D\nMcxjGLLTsxESEqJULyW7fAlSZS3gefjwYXTo0KFCbdRlPH4Vk5xcunXWSDWef6Wj6vvz4sWLSref\no6ojiCX0OcbGxmLy5MmQy+UYNWoUpk2bVqTOpEmTEBMTAxMTE6xZswY+Pj7KbyII7NpUobRrPEVG\nRiIyMlIj7ScnJyvd+3HLli3o16+fUp0dO3agZcuWxe7n5tYE+fmAXC6Hrq6uUj25XA4dnf+/sqWg\noEBlnVfLBAF48eIF9PSU8/zSlBXeLtxWXl4UDAxml6v9isSlqi0AyM/Ph76+vqJO4e3SlBXXVnnb\nF4T/ehENDAyU6uXl5aGgYAGMjGYrlb1ar/C2urbKU6aptgRB1Fj7L49/afZ98mQ26tWLUltHEIDn\nz5/D0NBQqV7hstLUKW1bpWlfEIBnz57ByMhIab/ylJW3rZycOTA1nVWkLVX7ljdWQQCePn0KY2Nj\npXqFy0pTp7RtvSx79e/wxYsXirg+++wR+vZ9hpSUFAQEBCjtFxcXV+QHp6rv8U8//RSrV69GWZX2\n/6XC9TQ9naOy2y9JRfIWtT1WcrkcEyZMwN69eyGRSODn54fQ0FC4ubkp6uzcuRMpKSlITk5GQkIC\nxo4di/j4+HIFU9dU9gq6qtovzWrjJa1Sfvz4LQBAdHQ0QkNDleoVLiupzsvzdtu2bejTp49SvdKU\nvbqtqq0lS3IwceKtMrdf0bhUtQUA27dvR+/evYvdLqlMXVvlaf9lezt27MDrr7+uVG/Hjh1ITc3B\n+PG3lMperffqdkltladME22JolBsvbK3VbY4pkw5i2++uVNsnZft7dy5s0jvb+GykuqUpa2S2n/Z\nVkxMjNIPsfKUVaStlStzEBFxp0hbqvYtT/sv24uNjUWvXr2U6hUuK6lOWdoqqf0GDbTXEVHa/5cK\n19P0dI7Kbr8yqU2sEhMT4eTkBHt7ewBAeHg4tm7dqpRYRUdH45133gEA+Pv74+HDh7h16xasra0r\nL2otun79Op49e6bYPnfuHARBQMOGDRVlpcnuAdVDXYW7dE1MTIrEoKotVUN6lXUvPBOT//7oDQ1f\nKJ6/VLisNHX+K8uHqWnZy1TVMTLKR716/5UZGIioV09UKlNVr7gyY+N8mJkp16lYWR7q1xeL3S5L\nmYlJXpEv4MJlpanzX9lzmJsXLTMyEpXKC9dTtZ+p6XNYWGimTDNt/X95vXrPYGlZUOx2WcrMzJ6h\nYUP1ZYaGL0qs81/ZU1hZqS8rTR0AqF//KRo1KnuZ6jq5aNxYM2UNGuTC2lq5TkllpqYirK0LVNYz\nN89FkyYFxW6XrSwHTZuqLytNHQCwsMiBjU3Zy1TVqYh79+4hLu7/1wLkBUJVSFTjjz/+EEeNGqXY\nXrdunThhwgSlOr179xYPHTqk2O7WrZt47NgxpTr475uNDz744IMPPvjgo0Y8ykttj1Vpr0woPA5Z\neD/OryIiIqK6QO36+RKJBOnp6Yrt9PR02Nraqq2TkZEBiUSi4TCJiIiIqj+1iZWvry+Sk5ORmpqK\nvLw8bNq0qchE5NDQUKxduxYAEB8fD3Nz81o7v4qIiIhIHbVDgXp6eli6dCl69uwJuVyOkSNHws3N\nDStXrgQAREREICQkBDt37oSTkxNMTU3LdXknERERUa1Q7tlZavz++++iu7u7qKOjIx4/frzYejEx\nMWLLli1FJycnceHChZURSo107949sXv37qKzs7MYFBQkPnjwQGW95s2bi61btxa9vb1FPz+/Ko6y\n+inN+TRx4kTRyclJ9PT0FE+cOFHFEVZfJR27f/75R6xfv77o7e0tent7i3PnztVClNXT8OHDxcaN\nG4utWrUqtg7Pu+KVdPx47ql3/fp1USqViu7u7qKHh4e4ePFilfV4DhZVmmNXnvOvUhKrixcvipcv\nXxalUmmxidWLFy9ER0dH8dq1a2JeXp7o5eUlXrhwoTLCqXE++ugj8YsvvhBFURQXLlwoTps2TWU9\ne3t78d69e1UZWrVVmvNpx44dYnBwsCiKohgfHy/6+/trI9RqpzTH7p9//hH79OmjpQirt7i4OPHE\niRPFJgY879Qr6fjx3FPvxo0b4smTJ0VRFMXs7GzRxcWF332lVJpjV57zT+0cq/JydXWFi4uL2jqv\nrpGlr6+vWCOLlNcGe+edd/D3338XW1fkFZcASnc+FbfmWl1X2r9Fnmuqde7cGRYWFsW+zvNOvZKO\nH8BzT50mTZrA29sbAFCvXj24ubkhKytLqQ7PQdVKc+yAsp9/lZJYlUZmZibs7OwU27a2tsjMzNRW\nONXKqwusWltbF/sHIAgCunfvDl9fX6xataoqQ6x2SnM+qaqTkZFRZTFWV6U5doIg4PDhw/Dy8kJI\nSAguXLhQ1WHWWDzvKobnXumlpqbi5MmT8Pf3VyrnOViy4o5dec6/ct+EOSgoCDdv3ixSPn/+/CK3\n9lClrt+9u7jj9/nnnyttC4JQ7LE6dOgQmjZtijt37iAoKAiurq7o3LlzpcRb3WlqzbW6qDTHoE2b\nNkhPT4eJiQliYmIQFhaGpKSkKoiuduB5V34890rnyZMnGDhwIBYvXox69eoVeZ3nYPHUHbvynH/l\nTqz27NlT3l0BlG6NrNpM3fGztrbGzZs30aRJE9y4cQONGzdWWa9p06YAgEaNGqFfv35ITEyss4kV\n11wrv9IcOzMzM8Xz4OBgjBs3Dvfv34elpWWVxVlT8byrGJ57JcvPz8eAAQMwdOhQhIWFFXmd52Dx\nSjp25Tn/Kn0osLixydKskVVXhYaG4pdffgEA/PLLLyr/sXNzc5GdnQ0AyMnJwe7du9G6desqjbM6\n4Zpr5VeaY3fr1i3F33JiYiJEUeR/bKXE865ieO6pJ4oiRo4cCXd3d0yePFllHZ6DqpXm2JXr/Cv3\ndHo1/vrrL9HW1lY0MjISra2txV69eomiKIqZmZliSEiIot7OnTtFFxcX0dHRUZw/f35lhFIj3bt3\nT+zWrVuR5RZePX5XrlwRvby8RC8vL9HDw4PHT1R9Pq1YsUJcsWKFos748eNFR0dH0dPTU+1SIHVN\nScdu6dKlooeHh+jl5SW2b99ePHLkiDbDrVbCw8PFpk2bivr6+qKtra34008/8bwrg5KOH8899Q4e\nPCgKgiB6eXkplgTYuXMnz8FSKM2xK8/5J4giL7cgIiIi0gStXRVIREREVNswsSIiIiLSECZWRERE\nRBqiNrFKT09HYGAgPDw80KpVK3z33XdF6shkMjRo0AA+Pj7w8fHBvHnzKi1YIiIioupM7TpW+vr6\n+Oabb+Dt7Y0nT57gtddeQ1BQENzc3JTqdenSBdHR0ZUaKBGRKr169UJCQgI6deqEbdu2aTscIqrj\n1PZYVdZ9dIiINOXjjz/GunXrtB0GERGAMqy8Xpr76EgkEnz11Vdwd3cvUoeIqLLxu4aINKW8nUal\nSqw0cR8d9mpRaUVGRiIyMlLbYVA19Nlnn+HZs2d4+vQp7Ozs8PTpU0RGRkImk+Hrr7/mUCCpxe8W\nKq2K/Egr8arA0txHx8TEBMB/99HJz8/H/fv3yx0QEVFxZs2ahd27d+PYsWP4+OOPtR0OEVERahMr\nsbLuo0NEVA53795FTk4Onjx5gqdPnyrKOQRIRNWF2qHAQ4cOYf369fD09ISPjw8AYP78+bh+/ToA\nICIiAps3b8by5cuhp6cHExMT/Pbbb5UfNdVqUqlU2yFQNRUREYF58+bh6tWrmDZtGgYMGACAUw2o\ndPjdQlWhSu4VKAgCv/iIqELWrl2Lbdu24Y8//kBBQQE6dOiABQsWYPbs2bh06RKePHmChg0b4uef\nf0ZQUJC2wyWiGqwieQsTKyIiIqJXVCRv4S1tiIiIiDSEiRURERGRhjCxIiIiItIQJlZEREREGsLE\nioiIiEhDmFgRERERaQgTKyIiIiINYWJFREREpCFMrIiIiIg0hIkVERERkYaovQlzeno6hg0bhtu3\nb0MQBIwZMwaTJk0qUm/SpEmIiYmBiYkJ1qxZo7hhMxFRdXDs2DHk5uYqlZmYmMDX11dLERFRbaU2\nsdLX18c333wDb29vPHnyBK+99hqCgoLg5uamqLNz506kpKQgOTkZCQkJGDt2LOLj4ys9cCKi0srN\nzYWTk5NSWUpKipaiIaLaTO1QYJMmTeDt7Q0AqFevHtzc3JCVlaVUJzo6Gu+88w4AwN/fHw8fPsSt\nW7cqKVwiIiKi6kttj9WrUlNTcfLkSfj7+yuVZ2Zmws7OTrFta2uLjIwMWFtbK9WLjIxUPJdKpZBK\npeWLmIiIiEiDZDIZZDKZRtoqVWL15MkTDBw4EIsXL0a9evWKvC6KotK2IAhF6ryaWBERERFVF4U7\nfKKiosrdVolXBebn52PAgAEYOnQowsLCirwukUiQnp6u2M7IyIBEIil3QEREREQ1ldrEShRFjBw5\nEu7u7pg8ebLKOqGhoVi7di0AID4+Hubm5kWGAYmIiIjqArVDgYcOHcL69evh6empWEJh/vz5uH79\nOgAgIiICISEh2LlzJ5ycnGBqaorVq1dXftRERERE1ZDaxKpTp04oKCgosZGlS5dqLCAiIiKimoor\nrxMRERFpSKmXWyAiIq7iTkTqMbEiIq2rSckKV3EnInWYWBGR1jFZIaLagnOsiIiIiDSEPVZERNVM\n4aHR6josSkRFMbEiIqpmCg+NcliUqOZgYkVEVMfVpIsHiKo7JlZERHUcLx4g0hxOXiciIiLSkBJ7\nrEaMGIEdO3agcePGOHv2bJHXZTIZ+vbtCwcHBwDAgAEDMHPmTM1HSkSkQZcvXy5SxuEvIqqoEhOr\n4cOHY+LEiRg2bFixdbp06YLo6GiNBkZEVBrlvYIuLy8PEnsJHjx7gOfy58gvyMe2A9tw6e4l6Av6\nMNI1Qj29emhQrwGTLSIqtRITq86dOyM1NVVtHVEUNRUPEVGZlHQF3YOnD3DiwQnsPbMXKQ9TcD37\nOtIep+HWk1v4cO2HsDC0gKGuIQx0DfAk+wmMnhshvyAfOfk5yM7Lhp6ghyaHmqBpvaZoatYUOtk6\n8HjqAdt6tmhevzmamzWvUPyqJo4nJycXmfNERDVDhSevC4KAw4cPw8vLCxKJBF999RXc3d01ERsR\nUZll52dj07lNkKXJIEuVIfNxJuyN7eFn6wevRl4IdQiFnZkdEvYl4M1+b0IQBMW+W7ZsQb9+/RTb\noiji7OWzcPZ2xo0nN3Aj+wZkJ2VIz07H4azDiiTNWMcY7inucG7oDBdLF7g0/O/h3NAZRnpGauNV\nNXFc1bQLIqoZKpxYtWnTBunp6TAxMUFMTAzCwsKQlJRUpF5kZKTiuVQqhVQqrehbExEBAG7n3sa2\nq9uwK20XTt46iUCHQHRt0RVj2oyBp7UnDv17qEjycko4pZRUqSIIAkz0TOBo6QhHS0cAgPU9a6W2\nRFFEwoUENHRuiOT7yUi6l4R1Z9bhdOZpZOVmwcrACs1Mm6G5SXPUe1oPrzV7DS1MW8BEzwQAe6eI\nqgOZTAaZTKaRtiqcWJmZmSmeBwcHY9y4cbh//z4sLS2V6r2aWBERVVSePA9bLm7BN6e/wcVDF9Gj\neQ+M9BgJGycb9AzsWWVxCIIAK0MrBNgHoIt9F0V5XFwcmjs0R3p2OpIfJCP5YTL2ndmHxOuJSHmY\ngoZGDeFm6Qa9e3oQUgV4WnmiqWnTEpM9ItK8wh0+UVFR5W6rwonVrVu30LhxYwiCgMTERIiiWCSp\nIiLSlKzsLKw4tgKrTqyCq5UrgqyDsD50PUz0/+sBqk7rL+nr6MOhgQMcGjigJ3pCck2Cfv36QV4g\nR1p2Gi7cu4C/7vyFXy/9io/vfAxdQRfejb1hnGsMyU0JPK08SxxKJKLqpcTEavDgwThw4ADu3r0L\nOzs7REVFIT8/HwAQERGBzZs3Y/ny5dDT04OJiQl+++23Sg+aiOqepHtJ+PLwl/jzwp8Y3How9g3b\nB/dG7oiLi1MkVdqiaukGdUN8ujq6ioQr/3Q++vXqB1EUkfkkEyfvnMRvt35D5JFIJD9MhlcjL7ga\nukLHXgf+En/o6+pX9schogooMbHauHGj2tfHjx+P8ePHaywgIiLg/5OVjNwMrE5djaP3j+IN+zeQ\nNDEJViZWWo5OWV5eXoUnoAuCAFszW9ia2eLF6Rfo168fcvJzkHgzEdvPb8f7se/jyv0rCGwRiGCn\nYLzu/Dok9SWa/BhEpAG8pQ0RVUu3n96GLEuGmNQYjG49Gst6LcPN6zerXVJVmUz1TRFoFwi753YI\nCAjA7Zzb2HNlD3am7MQn+z6Bvbk9Ql1CEeYaBk9rz1LPzyq8xAMn0BNpDhMrIqpUZV3AMzc/FyvO\nrMDyh8sxvNlw/PvmvzA3NC/1+5V1WK4mePUz2cEOEVYRCHoShMfmj/HvlX+xImEFBAjo2rQrJnad\niLaStmqTrMJLPHB5ByLNYWJFRJWqpAU8XxJFEduubsOchDnwb+KP6ebTMbLtyDK/nyaG5aqb4j7T\nwO4DMRADIYoiLty/gPXH1+Pdre8iNz8Xg9wH4U2PN+Fr48srDYmqEBMrItK6tJw0zNg5Aw+ePcD3\nXb9H2yZtsWXLliL1amNvlCYIggCPhh4Y6TASvwT8gnO3z2HT+U0Y8tcQiKKIwa0H463Wb8HVylXb\noRLVekysiEhrnr14hgX/LsDik4vxge8HeNf9XejpFP+1VBt7oypDq8at0KpxK8yRzsHxG8ex4ewG\ndP2lK2zMbDDMaxjs8+y1HSJRraWj7QCIqG46mHYQ3iu8cfbWWfzk9xNGtRqlNqmishMEAb42vvhf\nz/8hfUo6FnRbgMTMRLyV8BZG7B6B3Wm7kV+Qr+0wiWoVfosRUZXKeZGDcTvGIfpyNJYEL0E/t36I\ni4vTdli1nq6OLoIcgxDkGITY/bE4j/P4/vT3+Pjgx/CGN7wfeaNFgxYaea+yXrBAVJswsSKiKrM/\nfT8+TPwQfdz74Ny4czA3Kv3VftpSeF5XTZvTVTjJAYDMa5kYHDwYg10HI+VhCuZsn4O+0X3hZumG\nYe7D0KN5jwq9Z2kvWCCqjZhYEVGle/DsASLjI5FwMwHTXKfhg9APtB1SqRWe11XT5nQVTnIA5c/g\nZO6Efqb9sCp0FWKuxeCncz9h1uFZCG4cDJc2LmhSr0lVh0xUo3GOFRFVqrg7cej+Z3fUN6iPfQP2\nwdeSQ0LVkaGuIcKcwvBXn7+wPng97uXdg9syN7y95W0czTyq7fCIagz2WBFRpbj55CYm7JyAo2lH\nsbzbcrRt0hYAl0yoCdws3fBhyw+xxm8Nfjr5Ewb9MQi29W0xud1khLmGlfkiA1X/5px3RbWV2r+O\nESNGYMeOHWjcuHGx3d+TJk1CTEwMTExMsGbNGvj4+FRKoERUvaiau2NiYoI2r7XBzyd/xox9MzCq\nzShENIqARxMPRR0umVBzWBhbYGqHqZjcbjL+vvQ3von/Bh/v+RiT203GCJ8RqGdQr1TtqPo357wr\nqq3UJlbDhw/HxIkTMWzYMJWv79y5EykpKUhOTkZCQgLGjh2L+Pj4SgmUiCquuGSoPD0Hqubu7Du9\nDx/+8iGevXiGPW/vgVcTL17xVwvo6ehhoPtADHQfiCPpR/D1ka8x58AcjHltDCb5T+I8LKJXqJ1j\n1blzZ1hYWBT7enR0NN555x0AgL+/Px4+fIhbt25pNkIi0piXydCrj8KJVrnazc/FgsQFmHhyIga4\nDcDhEYfh1cRLAxFTddPerj02v7EZCaMS8Oj5I7gtc8PobaNx+W7R4T6iuqhCc6wyMzNhZ2en2La1\ntUVGRgasra2L1I2MjFQ8l0qlkEqlFXlrIqoGRFHE9mvbMTdhLtpat8Vqv9Xo599P22HVWVU5f83R\n0hHLQpYhShqFpYlL0Xl1Z3Rq1gnTOk7T+HsRVTaZTAaZTKaRtio8eV0URaXt4m72+WpiRUQ1X1J2\nEj7e/jGy87LxbZdv0cGmA+fNaJkm56+VdsK5lYkVIqWR+KjDR/jp5E94c/ObsBQsMdVwKrrYduEN\noKlGKNzhExUVVe62KpRYSSQSpKenK7YzMjIgkUgq0iQRVXOpD1Mx659Z2HFpB6b7T0e4Szh0dXS1\nHRZpWFknnJsamGKS/ySM9R2LqD+jMDdhLuYfnY8JXhNQIBaUOw5NzgskqgoVSqxCQ0OxdOlShIeH\nIz4+Hubm5iqHAYmo5rudcxsL/12IX07/ggltJ2C9/3p4uXIeFSnT19VHjyY9MLbjWOxL34clp5Yg\n9UEqnl58ikEug2Coa1im9lRdJMGeUarO1CZWgwcPxoEDB3D37l3Y2dkhKioK+fn/3bAzIiICISEh\n2LlzJ5ycnGBqaorVq1dXSdBEVHXu5d7Dl4e/xKoTqzCk9RCcH3ceTeo14dV+dVBZ1qMSBAHdm3VH\nN7tu+OqPrxCbGotvT36LMa3HYKjr0KoIl0gr1CZWGzduLLGBpUuXaiwYIqo+bufcxtdHvsaq46sw\nyGMQTkacRLMGzdTuw8U/a7fyrEclCAKc9J3wUfBHOHv3LJacWoJlp5chrEkYPNt61oj7RRKVBVde\nJ6rjCidDJ66cwKGCQ9h1cxe6WXfDCp8VcLB0KDGpArj4J6nX2qo1fuj+A5IfJGP+wflw+s4JY/3G\nYrL/ZDQ0aajt8Ig0gvcKJKrjFMmQFbAscxk+Tf8UDS0aQvaGDMtClqFTq04aWeuK6CVnC2d86v4p\nEkcn4uaTm3BZ6oLpe6fjTs4dbYdGVGFMrIjquGv51zBi9wgM2D4Azc2aY7bFbMxqNwtNTLmaNlUu\nBwsHrOqzCicjTuLx88dwXeaKj/d8zASLajQmVkR1UIFYgD1pe9BvWz+syV6DLrZdEB8ej8ltJsNU\nx1Tb4VEd06xBM3z/+vc4FXEKOfk5cF3miml7p+Fu7l1th0ZUZpxjRVSH5BfkY9PlTVh+ZjkMdQ0x\n3ms88vLzMNB9oLZDoxpKkxcs2DWww7KQZZjecTrm/zsfLZe2REjjEEy3nQ4Lo+Jvr0ZUnTCxIqoD\nHj9/jB+O/4BF8YvgZuWGuR3mopNNJwiCgC1ntmg7PKrBKuOCBbsGdlj++nJM7zgdE36fgM6/d8Zw\njzrXdVkAACAASURBVOEY3Xo06hvUL1Kfi4hSdcLEiqgWKO4/FjtXOyxOWIwfjv+AIMcgLGi9AME+\nwWVun8soUFVQdR6H6Ybhk7BP8M2Jb9BpUydEeEYgwChAqQ4XEaXqhIkVUS1Q+D+Wq4+uYs6/c3Bw\n30EMaT0EiaMT4WDhUO5FPbmMAmlaccl6cLBy4n/27FnY17fHYulipDxMwdfHv8aKjBWYZTwLEb4R\nMNIzqqqQiUqFiRVRNVf4V7y6IY4Tt09gxZkVOHLjCHpb98blCZfR2LRxVYVKVGrlSdadzJ2wvNty\nxJ6KxdbUrfj6yNf4tPOncCpgzylVH0ysiKq5wr1RhYc4CsQCHLp7CNMuTkPGkwyMbj0a33T5BjfS\nbjCpolrJqZ4TtoZsRUJGAmbJZuFs5llMwzT0c+oHPR3+t0baxTOQqIbKycvB2tNr8U38N9DJ18Ek\n30no7dCb/7FQneFv649dQ3dhSfQSbLi8Ad+d+g5T2kxBX4e+2g6N6rAS17GKjY2Fq6srnJ2d8cUX\nXxR5XSaToUGDBvDx8YGPjw/mzZtXKYES0X9uPL2Bqbunovm3zbH76m78FPoTVr62EmFOYUyqqE7y\nMvfC5t6bsaDjAqy9sBZd/+yKPTf34EXBC22HRnWQ2m9huVyOCRMmYO/evZBIJPDz80NoaCjc3NyU\n6nXp0gXR0dGVGihRXSYvkOOfjH+w9sJaHLt5DKN8R+Ho6KNoYdECABCXVnRSOq/ko7pEEAR0knRC\nR5uOOJh5EPMPz8dvy37DjE4z8JbnWzDQNdB2iFRHqE2sEhMT4eTkBHt7ewBAeHg4tm7dWiSxEkWx\n0gIkqsuuPbiGn67+hD2Je9DEpAmGuQ/DtBbTEBQYVOK+vJKP6iJBEBBgG4CmPk0hNhcxL24eZslm\n4cP2H6IN2gB5yvW53hVpmtrEKjMzE3Z2doptW1tbJCQkKNURBAGHDx+Gl5cXJBIJvvrqK7i7uxdp\nKzIyUvFcKpVCKpVWLHKiaqIsV+2VxqNnj7D5wmasO7MO5++ch9RSinW91sHN8r8fNDt27ECcrnIP\nFXuiiJQJgoAu9l0gtZfiWNYxfHHoC0QmR2Ko+1C86/4ubOrZAOB6V/QfmUwGmUymkbbUJlaCIJTY\nQJs2bZCeng4TExPExMQgLCwMSUlJReq9mlgR1SYlXbVXGjl5OdietB2bzm/Cvmv70K1FN7zv/z5C\nnEOQcDgBTpb/3z57oojKxtfGF38M+gMbd23Evux9CPorCJ0lnfG229toLPLKWSra4RMVFVXuttQm\nVhKJBOnp6Yrt9PR02NraKtUxMzNTPA8ODsa4ceNw//59WFpaljsooqqmjVtiyI7IsC99H+LuxuH4\n/ePwaOCBXra98NP7P8HCmPdFIypO4fmDpe2xlRhLMKf1HEz1nYo/k//EZ4c/w9PnTzFebzzeav0W\nJPUlKvcr7fcDb61D/9fenUdFdWUN//+WDEqBgqigFjgByqQIoiRGIWrUgAbHJGoc4hD9KYkxbWcy\no93GxDc+sU2Ivmp3a2sGjXZ4REU6cQoqIg4gjggqWqCSCDKDTPX+4U9apIASCoqS/Vmr1rJOnXtr\n4y0uu84992yoJbHy9fUlKSmJlJQUOnfuzLZt2/jxxx8r9UlPT8fOzg6FQkFsbCwajUaSKmF0Gqsk\nxvWs6+y6vIudiTuJvh7NM6pnGOc+jjVd1tC2VVuSk5MlqRKiFo+O2j7uiG0b8zbM9JjJq+6vEnYq\njDOZZ+i9tje+nX152eNlxriOob2yfUV/Xc8PUlpHQC2JlampKaGhoYwcOZKysjJmz56Nm5sb69at\nA2DevHns2LGDtWvXYmpqilKpZOvWrY0SuBDGoLS8lJjUGPYk7WH35d3czrvNKJdRLPBdwGLVYvq4\n9jF0iEI8kXS5K1ahUNDHpg+v+7/O189/za7Lu9h+YTt/+uVP9O/cn9E9RxPkEtSYYYsnQK2L3gQG\nBlap3TRv3ryKf4eEhBASEqL/yIQwUlnFWWw5s4WI5Ah+ufILXay7EOQSxIYXNtC/c39MWpgAEPWH\nLJEgREN53LmIFmYWvOTxEi95vER+cT6/XPmFiOQIvoz+Ek2JhmdvPssznZ/hqU5P0cmyU0OHL4yY\nrCYoRD2Va8pJ+COB/er9HFAfIDEjkREuIwh0DmTl8JWo2qjuz724WsDRq0crttOWMMnEdCEMz9Lc\nknFu4xjnNg6NRsO/9v6LVNNUdl/dzUfRH2FpZomrpSvBLYMZoBqAV0evaotBa/uydP36dbp27Vrx\nXOZhPVkksRLiMTyYnFpQWsDJuyeJyYjhSPoR2rVuxzDHYbzj+w4ZcRl4dvKEfLgSf4UrXCEpKanK\nyK8kTEI0fQqFgh5WPRjhPIJZnrPQaDRczb7KnrN7OPfHOf4Z/08S7yTi1sGNznRmcMlgvDp40att\nL8xNzKv9slTfO4lF0yWJlRA6unr3KlsubyG+IJ5Tv5+in10/hnUbhm+RL3Mnzq3oFxYbJqNOQhgJ\nbSNKNY0gKRQKnGycCOoUhL+/PwAFJQUkpCewNWorJ9NP8s/z/+R6znVcbV1pk9eG0sul+Nj50MO6\nh07LGAnjJomVENW4cOkCZ7LOcCzjGNF3osktzcXN1I1XB77Khuc2YGVuBUBYUpiBIxVC1JW2EaXH\nHUFSmil5yuEpih3+u6/8knzO3TnHdwe/44D6ACtPrSSvJI9+dv2wLLBEdVuFVwcvWpq01NvPIpoG\nSayEeMidwjscVB/kgPoA+27vw6nEiWGOw1jjs4Y+7fuw8393EtRd7hISormr7UYTSzNL/Dr5cdPi\nJuOGjQMgvSCdU+mn+OHID3xy7BOSs5LxtvOmXW47ErIScGvjhlkLM0DmXRkzSaxEs1ZSVkJMagx/\nv/p3Es4mcC3nGoM6D2KI4xAG3B3AzHEzDR2iEKIJqsuNJvZKe4K6B3Ev/h7jxo0jtziX2NuxbI7a\nzAb1Bq5lX2NAxwEMUg2iW143+mn6yaVDIySJlWhWysrLSEhP4FDKIfZf28/hG4dxauuEu7k7Hz31\nEf3s+mFuYg5A2EW5xCdEc1TXld0fV2vz1gzrMowcyxzGjRvH3aK7HL15lCM3j7D+2nrev/g+z/V4\njuE9hjO8x3A6tZZlHoyBJFbiiZZ7L5cTN09wTH2M6NRootXRdLLqhH9Xf2Z4zWDT2E20V7YnKioK\n506yVpQQov4ru9dV21ZtGd1jNKN7jCa5YzIqTxX7ru4jPDGcRZGL6NS6E8O6D2NY92H4d/WXKg1N\nlCRWolE9Wkvr0fVcoG5zCzQaDbfybnE2/Sxnfz9L/O14Tt06xY3sG3h39OYph6eY1XcWG8dsxM5S\niq4KIZo+J1snnGydmOc7j7LyMuJux7Hv6j5CT4QyNWwqzrbOvOj+IksGLzF0qOIhkliJRvVoLa1H\n13MB7XfkPJyQXcq5hLpAzYXbF8hvmY+6QM2NghuYKEzobNIZ9/buOFs5M6z7MLoqu9LGqo1MAhVC\nGJXqFhYd2HUgA7sOpMSxhMTcRIpyiho9Nik2XbNaE6vIyEgWLVpEWVkZc+bM4d13363SZ+HChezd\nuxelUsmmTZvw9vZukGBF8xAXF1exPswDDydkK35dgUkLE+4V3WNk75E4WTvhZOOEbStbwsLCGBc4\nrtK2e/bsqXQSkBPAkyM6OtrQIQgjkpSUZOgQdKbLwqJuuLFnzx6ioiqXx3r0HKfvRKiuxaabS0JW\nY2JVVlbG66+/zr59+1CpVPTv35/g4GDc3Nwq+kRERJCcnExSUhLHjx9n/vz5xMTENHjgwnAa+pcj\nPj6+xtc3DN8AcD+J6jWuxr5Q9QQlqxw/OY4dO0aPHj0MHYYwEsaUWOlKWwL26JdJbZUfarsy8IA+\nz+11TciMTY2JVWxsLM7OznTr1g2ASZMmsXPnzkqJVXh4ODNmzADAz8+PrKws0tPTsbe3b7iomwlt\nH3Jdakzpsl112+pC2y/Ho7/I9dl/RkZGlW9gD9+Vs3WrBXl5LUhI6ENGhmWlfrq0Xbhgyo4dlX+Z\n//jDDDe3x9+Xtra6bvc4+8/MfLRPb7216XNfDb3/uDhzbtzQff8P37l+5kxv7t6t3E+XtrpuZ8j3\nzMpS1timS5/6tOlrXw+O35kznmRnP7z/ys+ra7t+3Y5Nm2rvV9f919T28GcvPt6TnBxltc8fp+3q\n1R6Me+T7pS6T76tbh0uXBEybR/en75GoR/+uNeWRrhoTq7S0NBwdHSueOzg4cPz48Vr7pKamNovE\n6sqVK6SlpVVaZ8TMzIz+/ftjYmJS7/1rS2B0qTGly3bVbVtX+li9+IGysrIa14e5edOErKwWZGS0\n4caNyv/PurSlp1tiZdWxUp/bt/OxtHz8fWlrq+t2urbduWNNSkrlPn/8YaO3Nn3uq6H3n5WloLxc\nt/1fu1a17erVx2+r63aGes/ff7chOdmsUlt6euW2R5/ru00f+9Jo/tt265YtFhZm1T6vri0314LL\nl2vvV9f9V9fWqlXNbbr0qa4tN7cNdaHvgu8NfWXg0b9rTXqkS1ODHTt2aObMmVPxfMuWLZrXX3+9\nUp/Ro0drjhw5UvF82LBhmlOnTlXqA8hDHvKQhzzkIQ95GM2jrmocsVKpVKjV6ornarUaBweHGvuk\npqaiUqkq9dE8/FVDCCGEEOIJ1aKmF319fUlKSiIlJYXi4mK2bdtGcHBwpT7BwcFs3rwZgJiYGGxs\nbJrFZUAhhBBCiEfVOGJlampKaGgoI0eOpKysjNmzZ+Pm5sa6desAmDdvHkFBQURERODs7IylpSUb\nN25slMCFEEIIIZqaGkesAAIDA0lMTCQ5OZn3338fuJ9QzZs3r6JPaGgoycnJrFixgilTpuDi4sKK\nFSu07m/hwoW4uLjg5eVFXFycnn4MYYwiIyNxdXWt9vNy6NAhrK2t8fb2xtvbm2XLlhkgSmFos2bN\nwt7ent69e1fbR84r4oHaPi9yXhEPqNVqhgwZgoeHB56ennz99dda+z32+aXOs7MeUVpaqnFyctJc\nu3ZNU1xcrPHy8tJcuHChUp89e/ZoAgMDNRqNRhMTE6Px8/PT19sLI6PL5+XgwYOaF154wUARiqYi\nKipKc/r0aY2np6fW1+W8Ih5W2+dFzivigVu3bmni4uI0Go1Gk5ubq+nZs6de8pZaR6x09fCaV2Zm\nZhVrXj2sujWvRPOjy+cF5MYHAYMHD6Zt2+qLzcp5RTysts8LyHlF3NexY0f69u0LgJWVFW5ubty8\nebNSn7qcX/SWWGlbzyotLa3WPqmpqfoKQRgRXT4vCoWC6OhovLy8CAoK4sKFC40dpjACcl4Rj0PO\nK0KblJQU4uLi8PPzq9Rel/OL3oowP7xIZk0e/aag63biyaLLcffx8UGtVqNUKtm7dy9jx47l8uXL\njRCdMDZyXhG6kvOKeFReXh4TJ05k9erVWFlZVXn9cc8vehux0teaV6J50OXz0rp1a5TK++UbAgMD\nKSkpITMzs1HjFE2fnFfE45DzinhYSUkJEyZMYOrUqYwdO7bK63U5v+gtsZI1r8Tj0OXzkp6eXvFN\nITY2Fo1Gg62trSHCFU2YnFfE45DzinhAo9Ewe/Zs3N3dWbRokdY+dTm/6O1SoKx5JR6HLp+XHTt2\nsHbtWkxNTVEqlWzdutXAUQtDmDx5Mr/99ht37tzB0dGRpUuXUlJSAsh5RVRV2+dFzivigaNHj/Ld\nd9/Rp08fvL29AVi+fDk3btwA6n5+UWjk9gghhBBCCL3Q26VAIYQQQojmThIrIYQQQgg9kcRKCCGE\nEEJPdEqsysrK8Pb25oUXXqjymtRdEkIIIYS4T6e7AlevXo27uzu5ublaXw8ICCA8PFyvgQkhRG3i\n4+NZsGABOTk5mJiY8MEHH/DSSy8ZOiwhRDNW64hVamoqERERzJkzp9r6SnJjoRDCECwtLdmyZQvn\nzp0jMjKSRYsWkZOTY+iwhBDNWK0jVm+99RZffvlltSerh+suqVQqVq5cibu7e5U+QgjRGKytrQ0d\nghDiCVDXQaMaE6vdu3djZ2eHt7c3hw4d0tpH17pLMqplvD799FM+/fRTQ4chanDy5EkKCgoqtSmV\nSnbv3v1EHbuPPvqIoqIiCgsLcXR05N133614LTY2lpkzZ3L+/HkDRqhf8rtnvOTYGbf6DAjVmFhF\nR0cTHh5OREQERUVF5OTkMH369Irl3eF+3aUHAgMDWbBgAZmZmVIiQIhGVFBQgLOzc6W25ORkA0XT\ncD7++GN8fX2xsLDgm2++qWi/detWlXOTEEIYQo1zrJYvX45arebatWts3bqVoUOHVjlxSd0lIURj\nuXPnDvn5+eTl5VFYWAhATk4Oo0ePZvny5QwYMMDAEQohmrvHqhX4YGhM6rk1L88++6yhQxB19KQd\nu3nz5rFs2TKuXr3Ku+++y1dffcW4ceOYPn0648ePN3R4evekHb/mRI5d89UotQIVCoXMsRKiAUVF\nRWm9FOjv72+giPRv8+bN7Nq1i+3bt1NeXs7AgQMJCQlh9uzZeHh4VPT717/+RZ8+fQwYqRDC2NUn\nb5HESognQHNIrIQQorHUJ2+RkjZCCCGEEHpS75I2AAsXLsTFxQUvLy/i4uL0GqAQQgghhLHQKbF6\nUNJG27oOERERJCcnk5SUxPr165k/f77egxRCCCGEMAa13hX4oKTNBx98wFdffVXl9fDwcGbMmAGA\nn58fWVlZpKenY29vr/9ohRBCi+oWSPX19TVQREKI5qreJW3S0tJwdHSseO7g4EBqamqVxOrhFWif\nffZZuRVVCKE3zWWBVCFEwzh06FC1FWYeV71L2kDVcjXaLhnK0v5CCCGEaIoeHfBZunRpnfdV4xyr\nByVtunfvzuTJkzlw4ADTp0+v1EelUqFWqyuep6amolKp6hyQEEIIIYSxqndJm+Dg4Iq2mJgYbGxs\nZH6VEEIIIZqlepe0CQoKIiIiAmdnZywtLdm4caP+oxRCCCGEMAI6J1YBAQEEBAQA9xOqh4WGhuo3\nKiGEEEIIIyQrrwshhBBC6IkkVkIIIYQQelJjYlVUVISfnx99+/bF3d2d999/v0qfQ4cOYW1tjbe3\nN97e3ixbtqzBghVCCCGEaMpqnGPVqlUrDh48iFKppLS0lEGDBnHkyBEGDRpUqV9AQADh4eENGqgQ\nQgghRFNX66VApVIJQHFxMWVlZdja2lbp8+gCoUIIIYQQzVGtdwWWl5fj4+PDlStXmD9/Pu7u7pVe\nVygUREdH4+XlhUqlYuXKlVX6gJS0EUIIIUTTpM+SNgqNjsNN2dnZjBw5ki+++KJSUpSbm4uJiQlK\npZK9e/fy5ptvcvny5cpvolDIqJYQDSgqKkprrTx/f38DRdS4mvvPL4TQr/rkLTrfFWhtbc2oUaM4\nefJkpfbWrVtXXC4MDAykpKSEzMzMOgUjhBBCCGHMakys7ty5Q1ZWFgCFhYX8+uuveHt7V+qTnp5e\nkdXFxsai0Wi0zsMSQgghhHjS1TjH6tatW8yYMYPy8nLKy8uZNm0aw4YNq1TSZseOHaxduxZTU1OU\nSiVbt25tlMCFEEJfTp48SUFBQaU2pVKJr6+vgSISQhirGhOr3r17c/r06SrtD5e0CQkJISQkRP+R\nCSFEIykoKNA6R0sIIR6XrLwuhBBCCKEnklgJIYQQQuhJvUvaACxcuBAXFxe8vLyIi4trkECFEEII\nIZq6epe0iYiIIDk5maSkJI4fP878+fOJiYlp8MCFEKK50TbJHmSivRBNSa0rr9dW0iY8PJwZM2YA\n4OfnR1ZWFunp6djb2zdAuEKIhiB3xRkHbZPsQSbaC9GU1LukTVpaGo6OjhXPHRwcSE1NrZJYSUkb\nIZouuStOCNGc6bOkTa2JVYsWLYiPj68oaXPo0KEqSdGjy74rFIoq+3k4sRJCCCGEaCoeHfBZunRp\nnfdVa2L1wMMlbR5+c5VKhVqtrniempqKSqWqc0BCiOZHLkUKIZ4UNSZWd+7cwdTUFBsbm4qSNp98\n8kmlPsHBwYSGhjJp0iRiYmKwsbGR+VVCNJDqJi8nJSVpnXtjLIzlUmR1///Xr1+na9euldokMRSi\neap3SZugoCAiIiJwdnbG0tKSjRs3NkrgQjRH1U1ePnv2bJW2xMTEKm3yx75+avr/N4bEUAjR8Opd\n0gYgNDRUv1EJIeqtuLi4Xn/sjT0xM/b4hRDGSec5VkII43JPc4/Mokzatmyr9YaS2tQ3MTM0Y49f\nCGGcJLESwsjdLbrL8aLjJJ5I5EbuDW7k3OBG7g1yinJYum0pJeUlOFg54GDlQOvy1hxrcYyh3Yfi\n29m3TgmXEEKI6tWYWKnVaqZPn87vv/+OQqFg7ty5LFy4sFKfQ4cOMWbMGHr06AHAhAkT+PDDDxsu\nYiEE98rusf/Gfv6d9G+ib0XTgx4MNxnOMMdhdG3TFcfWjhyJPMKE8RPILc4lNS+VtLw0Tl89za28\nW0z5eQql5aVMdJ/Ii+4vVlkyRQghRN3UmFiZmZmxatUq+vbtS15eHv369WP48OG4ublV6hcQEEB4\neHiDBiqEgKTcJP5+5O/suroLd1t3JrhMYNWzq9i/Zz/jfMZV6ttCcb8UaGvz1rjZuuFm60a34m74\n+/uzauQqEtIT2H5hO9PCppGdl83EuxOZ4T4DlZXxL5ei0WjIK8/j9O+nSclJISU7hdySXEpySzht\nfpo2Ldtg3dIam1Y2eHfyNnS4QognSI2JVceOHenYsSMAVlZWuLm5cfPmzSqJlXzbFaJhJd5J5OND\nH7MvaR9z+szhP+P+g0Nrh8ffzyMTukeYjmB47+EcuniItLI0Rvw8ggCHAOb2nquv0BtFaXkpJ26f\n4ID6AIfTDnMl+wolJSX0PNqTbtbd6NamG/ZKe67nXOda1jVy7uWQXZRNRmEGcbfi6GTeiaEZQ3mm\n8zP4dfTD0szS0D+SEMJI6TzHKiUlhbi4OPz8/Cq1KxQKoqOj8fLyQqVSsXLlyiplb0BK2ghRFzey\nb7D0t6WEJ4az+OnFzGo3i969etd5f9omdAOcO3eO155+jcX9FvNj4o/M3TeXVkWtaJXSihFdRmDS\nwqQ+P0aDyCjIICIpgojkCCIuReBo7cgwx2F86Pchvdr24mDEQcaPG19pm2RlMv7+/pXaisuKWb9n\nPddbXGfNmTXM2zcPbztvhrcdztNlT2NmYtaYP5YQwgAataQNQF5eHhMnTmT16tVYWVlVes3Hxwe1\nWo1SqWTv3r2MHTuWy5cvV9mHlLQRQncZBRn8NeqvbEnYwnzf+SS9kYRNKxuioqIa9H1bm7dmbu+5\nzPKYxdKflvJt/LcsO76MOZ5zeKnnSw363rooKi1iV+IutiRs4bfrvzG0+1BGuYxiYpuJPO3xdKW+\nuk7MNzcxp49NH8Y7j+ctn7coLC1k3419rD25lg2rNzCv3zxe6/caHa06NsSPJIRoAvRZ0qZFbR1K\nSkqYMGECU6dOZezYsVVeb926NUqlEoDAwEBKSkrIzMysc0BCNGel5aV8G/stbt+6cfP2Tf7h8w9G\nmI4gITaBqKgokpKSGiUO0xam+LT0YdeYXax+djXHbh3D70c/1l1ZR2pOaqPE8EC5ppzfUn5jTvgc\nOv9PZ9adWscEtwmo31IT9nIYc3zm0KFlB729n4WpBS/0eIGvfb4m4pUIUnNTcfvWjSn/nkJSbuP8\n/wshjFeNI1YajYbZs2fj7u7OokWLtPZJT0/Hzs4OhUJBbGwsGo0GW1vbBglWiCfZoZRDLNy7kPbK\n9uyfvp+7iXerXLbTtsJ6Q1IoFPja++Jr78v1nOt8dfQr+qztw/POzzO1z1Se6/Ec5ibmen/fck05\nCVkJ7Ni7g39f/DcdlB2Y2mcq3z3zHVblVpAD8cfjK/o3VEmfPvZ9WDd6HSueW8E/Tv+Dd357h52Z\nO/lzvz/jbGO8JYSEEA2nxsTq6NGjfPfdd/Tp0wdv7/t3zixfvpwbN24A91dg37FjB2vXrsXU1BSl\nUsnWrVsbPmohniA3sm8we9tszt09xwKnBfh38Odu4t0mV/+va5uuvOHyBhte2cCWM1v47PBnTA+b\nzljXsbzk8RJDuw/FtEXdl8YrKCkg/o94/nP9P+y+uhulQsnMATM5MP0Avdr3AiAqKkrnkj7aaFuN\nHWpPzGxa2bB44GI873nyW+FvjNs1jue6PMeffP6EY2tHnd5bCNE81HgWHDRoEOXl5TXuICQkhJCQ\nEL0GJURzkHMvhy+OfMG6U+sItg/m/07+v1iYWlS83tijU7qyaWXDG35v8IbfG9zIvsH289v58MCH\npGSlMLT7UNzau+HewR23Dm642LrQ0rRlpe01Gg3FZcWk5qRyLPUYx1KPse/iPtSH1bi2dWVYl2Fs\nDdqKIkNRZaJ5fVU3eV/X/2sLEwte7/s609ymsf7sep4Pe54xTmPoVd5Lr3EKIYyXrLwuRDVOnjxJ\nQUFBpTZ91JorLS9lw6kNLP1tKYEugST8fwlcib9SKakyFl2su7B44GIWD1zMtbvXOKo+ysU7F/nh\n3A9c/OMiKVkpqNrcXxcrvzifgpICCkoKMGlhgr2lPX4Ofjzt8DQePT143ut5Wpm2qth3ckbTLT9j\n3dKat33fZpbHLL6J/4bP7n5GxqkM5vWZJ0s1CNHMSWIlRDUKCgr0WmtOo9GwJ2kPb//6NqrWKiKn\nRtK3Y18ArnClXrE2Bd3bdqd72+6V2orLiknJSqGFogWWZpZYmluiNFNWuWQYFRVVKakyFu0s2vHp\n05+iSlNxJvsMg38azFs+bzG512RDhyaEMJB6l7QBWLhwIXv37kWpVLJp06aK+VhCGFJDjTg9Lo1G\nw+7Lu1l+ZDk593L4nxH/Q6BzYLOo02duYk7Pdj0NHUaDa2/SntChoST8kcCy2GVsOLuBGQ4zGKQZ\nVLEC/uPS9vltavPuhBBV1bukTUREBMnJySQlJXH8+HHmz59PTExMgwcuRG30PeL0uErLS9l+qxPA\nigAAGmdJREFUfjufH/kc0xamLBm8hHGu45rkYptCP/p06MO2oG0cSj3EX478hZ/X/8xfh/yVUS6j\nHjuR1vb5barz7oQQ/1Xvkjbh4eHMmDEDAD8/P7KyskhPT8fe3r4BwxbNlbZv8aD7SFR1d4XpcyQr\nrziP7xO+58voL+lo1ZEVz63geefnm8UI1ZNE22dFlxEjhULBEMchOPg6kGmXyfv732dZ1DL+MuQv\nDO8xXD4HQjzh6l3SJi0tDUfH/95u7ODgQGpqapXESkraCH3Q9i0edB+Jqu6usPqOZGk0Gk7cPMGG\n0xvYcWEHAV0D2DhmI4O7Dq7XfoXhaPusPM6IkUKhYJzbOMa4juGn8z+xcO9COlh2YMmgJZJoC9HE\nNKmSNlC1CLO2E4aUtBFPojsFd/jh7A/8/fTfyS/JZ473HC4suECn1p0MHZpoIlooWjDJcxIT3Sey\n7dw23tv/Hu/se4c/P/1nJvee3CALrAohHo8+S9rUmljVVtJGpVKhVqsrnqempqJSqeockBBNXUZB\nBmGXwvjp/E8cTzvOKJdR/O35v/Fst2frPFFZPPlMW5jySp9XmNJ7Cr9e/ZX/c/T/8MGBD3jT703m\n9puLdStrQ4cohNCDepe0CQ4OJjQ0lEmTJhETE4ONjY3MrxJGp7b5NJlFmUSmRPLT+Z9IjE5khNMI\nXvN5jbCXw7A0t+TkyZMcUR+ptL22eVvVzRFrLnd7NfefH+6P6I9wGsEIpxGcvnWaldEr6b66O5M8\nJxHSPwQPOw9DhyiEqId6l7QJCgoiIiICZ2dnLC0t2bhxY8NHLYSeaZtPczj+MJvObyIiJYKEPxLw\nd/BnVKdRHAw+iKV55UUgdb0Dsbo5YsZyt1d9J/8b+8+vbz6dfPhhwg+k5aSx/vR6ntvyHL3a9SKk\nfwjtytsZOjwhRB3Uu6QNQGhoqN4CEsKQbuffJvxqOLuv7uZi1kUCfw9klscsAhwCsDC1IDk5uUpS\n1ZxUN/l/z549TWLNMGOlaqNi6bNL+WDwB4RdDOOb2G+4ePsiM3Jn8IrbK9gr5SqAEMZCVl4XzV7W\nvSyii6L5cc+PnM84z8iuI3nL5y3unLjDi0NeNHR4RkFbwtWYa4Y9KcxNzHnZ82Ve9nyZjREbOZh3\nkCHbhxDgEMCr7q9WuVFICNH0SGIlmqWy8jIOph7kx0s/cvTmUZwUToS4hzDUcWhFaZWwk2H1eo+6\nroMkBICTlRMj+45kyYAlbL+8nbcPv01hXiEFFwuY4DLBKGtLCtEc1JpYzZo1iz179mBnZ6d1HsSh\nQ4cYM2YMPXr0AGDChAl8+OGH+o9UNDsNUdIjuzyb1XGr+f7S99gr7XnF9RVWPbuK/Xv2E9Q9qNbt\nq5tjpC2u+q6DJJqPmj7rbczbMNtzNrM8ZrHipxXsu7GPL099yXS36cxwn0F7i/ZaP5dyKVYIw6g1\nsZo5cyZvvPEG06dPr7ZPQEAA4eHheg1MCH2V9NBoNETfimbzhc0cuHuACfkT+Ofwf+LZ3vOx91Xd\nHCNJmER96PJZVygU9DLvxXsj3yM5K5kNZzfg/5M/L/R4ge4F3RnlPKpSf7kUK4Rh1LrozuDBg2nb\ntm2NfeS6v2iKyjXl7E3Zy+ido1lydAnPdH6GpW2X8sWgL+qUVAnRVDjbOLNi8AqiXorCTmnHquxV\nzPl1Duczzhs6NCGavXrPsVIoFERHR+Pl5YVKpWLlypW4u7tX6SclbURjKS4r5oezP/BJ7CfYWtry\net/XGdl1JC0ULQhLrN+8KSGakvYW7VncbzEO1x3I7pjNtMhp9O3Ql7d83sICmYMlhK4avaRNTXx8\nfFCr1SiVSvbu3cvYsWO5fPlylX5S0kY0tJKyEv4R9w+WH15Or/a9eKvnW7zo+6LUZDNSMvlfd+YK\nc+b2nss0t2l8f+l7Xv3Pq/Sw6MHXzl/Tr3M/Q4cnRJPXqCVtatO6deuKfwcGBrJgwQIyMzOxtbWt\n766F0Em5ppx96fuY9e0serTtwY6XdjBANYCoqChJqoyYTP5/fBamFszxnMNU16l8feRrxmwdwwDV\nAP465K81ruiubfK8TH4Xom7qnVilp6djZ2eHQqEgNjYWjUYjSZVoFBqNhv3q/aw4sQJKYcPYDQzp\nPsTQYQlhcK1MWzHeYTyfv/g5a06sYejmoYx0Gsmnz35Kj7Y9qvTXtXKAEKJ2tSZWkydP5rfffuPO\nnTs4OjqydOlSSkpKgPslbXbs2MHatWsxNTVFqVSydevWBg9aiLjf4/jL8b+QVZTFu/3fxanEiYDu\nAYYOS4gaNXatRAszCxYPXMxr/V5j1bFVDNgwgBc9XuQj/4/o3LpzjdvKEg5C1E2tidWPP/5Y4+sh\nISGEhIToLSDRPOm6ZtXdsru8cfANjt48yju+7/Ciy4uYtDCRb9dNkMyRqspQtRLbtGzDJ89+QsiA\nEL448gWeazyZ5T2L9wa9R3tle63byGr6QtSNrLwumoTa1vHJL8lnzZk1rM9az2vdXuPwS4exNGu+\nNfuMgcyRanraK9uzcsRK/vT0n1gWtYxeofcLPj+lecrQoQnxxKh1HSshDKlcU872y9sJ2B7A9Zzr\nvGfzHu/4viNJlRD10Ll1Z9aMWsPJ106izlEzJWYK38R/Q35JvqFDE8Lo1ZhYzZo1C3t7e3r37l1t\nn4ULF+Li4oKXlxdxcXF6D1A0X1dKrjD6f0ez+eJm1g1bR+jQUGxN5MYIIfSle9vubByzkW+8v+Fi\n5kWe3vo0X8d9TW5xrqFDE8Jo1ZhYzZw5k8jIyGpfj4iIIDk5maSkJNavX8/8+fP1HqBoftLy0lhw\nYAEbczcyp/ccdgbvpJ+9rMUjREPpatmVNUPX8O/R/yY5K5mB2wYSURBB1r0sQ4cmhNGpcY7V4MGD\nSUlJqfb18PBwZsyYAYCfnx9ZWVmkp6djb2+v1yBF85Bfks/ahLVsPL+RmR4z8W/rz3jn8YYOS4g6\nMcbJ+y5tXfh6yNdczb7K2zvf5pltzzDNbRozPWZir5TzuhC6qNfk9bS0NBwdHSueOzg4kJqaqjWx\nkpI2T7b6LDBYWl5KeFo43x3/joGdBvLL+F9QWakIuyHlZ4TxMubJ+z2sezC19VR8hvmw/ux6hmwf\nwvPdnifQJhB//A0dnhB616RK2jxagLm6la6lpM2TrS4LDGo0GsITw3lv/3soy5RsGrGJPh36NGSY\nQojH0LVNVz575jP+3O/PbL64mT/F/4ltmdtY/PRihnYfWnG+l5XbhbFrMiVtVCoVarW64nlqaioq\nlao+uxTNRLQ6mnf3vUt2UTarRq7CIs0Clw4uhg5LCKFF21ZtedP7TbqmdeW6yXVm/3s2LRQtGKsa\nywj7EaRdSyMwMLDSNrLmlWiu6pVYBQcHExoayqRJk4iJicHGxkbmV4lqaTQaDqUcYtnhZVy9e5WP\n/T9mutd0TFqYEHUzytDhCSFqoSnR8Kb/myzULOTozaNsvriZjbEb6a3oTffM7rjauurtvWQUTBir\nGhOr2srZBAUFERERgbOzM5aWlmzcuLFRghbGRaPR8J8r/2FZ1DJ+z/+dJYOX8ErvVzAzMTN0aEKI\nOlAoFAxSDWKQahC38m/x8f9+zJS9U+jWphuTe01mVPdR9X4PqV8ojFWNiVVt5WwAQkND9RaMeLLc\nK7vH9wnf87fjf6OwpJAPBn/ASx4vYdLCxNChCSH0pJNlJ4KUQawZs4Zfrv/CtsRtfBrzKYNsB2He\nwxw/lV+1c2+FeBJJSZsnmKGG0q9kXeG7S9+x7dI2BjgO4IPBHxDcK5gWClnoX4gnlVkLM0Z1H8Wo\n7qO4lX+LdTHrmBY2DXMTc171epXJvSfj0MbB0GEK0eAksXqCNeZQen5pPmHJYfyY+COJdxN5uefL\nrO23lskjJzfI+wkhmq5Olp3oX9SfV/q8QkJ2Ar+c/4W/HvorrtauzH9mPhPcJ9CmZRtDhylEg6h1\nCCEyMhJXV1dcXFxYsWJFldcPHTqEtbU13t7eeHt7s2zZsgYJVDQ96XnprD+1nqDvg5gYPZGfk39m\nmts0Tkw+wZIBS1BZyB2iQjRXxcXFuLi4MMF3AutGryN+WjwvdHyB8MvhOK5y5OUdLxN2MYzCkkJD\nhyqEXtU4YlVWVsbrr7/Ovn37UKlU9O/fn+DgYNzc3Cr1CwgIIDw8vEEDFYZXWFJIbFosUdejiLwS\nyfnfzxPoEsgMrxm80ekNvFy9DB2iEKKJamXaigC7AD7y/4jMwkx2XNjBtye+ZVb4LIJcgnjZ42VG\nOI2glWkrQ4cqRL3UmFjFxsbi7OxMt27dAJg0aRI7d+6sklg9ukioaLq0ldkAuH79Ol27dq3UVmhS\nSJldGUduHCHqehRxt+PwtPPEv6s/Hw7+kKHdh9LStCUAUVGyXIIQTYm23/WmslyBrYUtc/vNZW6/\nuaTnpfPzxZ/56thXzPjfGYxyGcU413FYlVkZOkwh6qTGxEpbyZrjx49X6qNQKIiOjsbLywuVSsXK\nlStxd3evsi8padM0aCuzUa4p52D8Qe71uMe5jHOcu3OOcxnnyC/Op79DfwZ1GcSnz37KUw5PYWWu\n+8muKZ/YhXjSaftdb4rLFdhb2dNf0R+PHh5kqDI4fOcwX+z7gnNZ5/C/7k9gt0CGdxlO21ZtDR2q\neII1WkkbXW6R9fHxQa1Wo1Qq2bt3L2PHjuXy5ctV+klJG8PTaDRkl2cTlRrFpbuXuJR5icS7iVy+\ne5mW5S3xSfTBs70nk3pNwrOdJ/fS7xEQEFDn9zOWE7sQwrAe3GjjjDN++PFn/sz3//6eVt1bEZkS\nycfRH+PWzo2+yr7YpNvQ2663LOEg9KrRSto8WrJGrVbj4FD5dtnWrVtX/DswMJAFCxaQmZmJra1t\nnYMS99VnuYSCkgIu5Fzg+KXjXMq8n0RdzLzIveJ7eMV74WrriredN5N7TaZn254ciDjAuOfHVdrH\nnsN7qpy8ZMRJCNEYlC2UjHMZxwSXCRSWFhJzK4Z/HP4Hz296nlJNKU+1ewo/Wz/62vTF3tpezkui\nyagxsfL19SUpKYmUlBQ6d+7Mtm3bqiwamp6ejp2dHQqFgtjYWDQajSRVeqLrcgnpeenE3Y4j/nZ8\nxeNG9g0cWznSt3Nf3GzdeK7Lc7jaunI08ijjR4/X6f1lxEkI0RRYmFowxHEIWRZZjB07livZV9h/\nYz//Sf0Pnyd+jkMrB8ZkjWFot6EM6jIIS3PLBolD25dd0P6FU0ryNF81JlampqaEhoYycuRIysrK\nmD17Nm5ubqxbtw64X9Zmx44drF27FlNTU5RKJVu3bm2UwJur34t+Z+elnZy+fZrTt+4/ikqL6Nux\nL94dvRndczQf+n9Ir3a9OHb0WJXEyNDD59VNnk9KSqoSqxBCPEqhUOBs44yzjTPz+szjXtk9dsft\nJsM0g88Of8bpW6fxsPPAT+V3/+Hgh1NbJ72c+7R92QXtXzilJE/zVesCoYGBgVWqls+bN6/i3yEh\nIYSEhOg/MqHVp+c/pcsfXfDp5MPMvjMJDQyli3UXTp06df/bURZkZmVyjGNNMlnRNgoGcPbsWQNE\nI0TzYugvNg3x/i1NWuJl44W/vz+fPvsp+cX5nLp1iuOpxwm7FMZ7+9+jsKSQ/qr+eNp54t7eHfcO\n7rh1cJNFSkWDkJXXmwhtw8baTjZr+q3B39+/yvbavh1JsiKEeJihv9g0xvtbmlvi39Uf5R9K/Dr6\nQUe4c+8Ol3IucTPjJgfzDvLtiW+5eOcibVu1xdnWGUdrRxzb/P8Pa0cc2jjQXtkeWwtbLEwt9DbS\nX11i2ViXCB/nUqaoO0msatCY18h1TYwM8Y0zOjqagQMHGuz9Rd09fOyE8ZHjV3cPn1OdceYpnmLP\nnj306twL2t1fZia9KJ2bhTfJ0mRhampKfHo8uy7vIjUnlYzCDDIKMoD7627ZWtjSorgF7ZLaYWlm\nidJUidJMiaWpJUW5RZwwPXH/ubklSjMlv/72K4FWgViaWWJlZoWVmRX59/Jxcqp6WbKxLhE+zqVM\nbSQx002tiVVkZCSLFi2irKyMOXPm8O6771bps3DhQvbu3YtSqWTTpk14e3s3SLCNrSleIzfEN85j\nx45VnNwN/Y1XPJ6Hj50wPnL89OvR81dPegL3z+vargTA/YoTmYWZZBZmcuj4IdratyW/JJ/C0kLy\nS/LJK8kjLzuPtNw0CkoKyC/Jp6CkgJhjMZxqf+q/fUryyL2Xy71L95jmNq1Rfl59q29i1lzUu6RN\nREQEycnJJCUlcfz4cebPn09MTEyDBVxWVsapU6e4d+9epXYTExO8vb2xsLCo0351vRRX36Hc6jJ+\nGfGpH23HRf5PhWgeGuL3X+sViz+UDPUdWqWvtsRs5t6ZfDbms0ptYWFhjHUdW+eYGpOufxNBFoN+\nVL1L2oSHhzNjxgwA/Pz8yMrKIj09HXt7+wYJuLy8nJKSEpycnCq1q9VqysrKKrU9zqU8XS/FVTdi\ns2fPnirvpa1MTFJSUpWbAap7L20iI/uRkFB1wmVy8sAq7bq21db31KmW5OW1qfP2D1c8Sk5+hjNn\ntG1ftV3Xtvvt/bWMLrbh+HFdt6/v+zfN7bOz08jNbVNjv6Ycf3Pf/kk+fpXPC4OIj3+0r25t99sH\n4Ozs9EibNTExum2fldWDn3+u3JaW1hEbG5ta9wlw7Vpb2rZNrdR2+rQFn3xS9f0dHMzp37+kUru2\nxETb3w9tbdAwSczjzNvV9ndR29/E6uJsrGk3jXYpU1OD7du3a+bMmVPxfMuWLZrXX3+9Up/Ro0dr\njh49WvF82LBhmpMnT1bqA8hDHvKQhzzkIQ95GM2jrupd0ob7717jdlKkWQghhBDNQYuaXtSlpM2j\nfVJTU1GpVHoOUwghhBCi6asxsXq4pE1xcTHbtm0jODi4Up/g4GA2b94MQExMDDY2Ng02v0oIIYQQ\noimrd0mboKAgIiIicHZ2xtLSko0bNzZK4EIIIYQQTU2NI1Zwv6RNYmIiycnJvP/++8D9hOrhsjah\noaEkJydz5swZfHx8ePvtt3Fzc8PLy4vx48eTnZ1d7f7Lysrw9vbmhRde0MOPI/RBl+OnVqsZMmQI\nHh4eeHp68vXXXxsgUvEoXX/3IiMjcXV1xcXFhRUrVjRylKI627dvx8PDAxMTE06fPl1tv88//xwP\nDw969+7NlClTqiw/IwxD1+OXlZXFxIkTcXNzw93dvUGXKBKNr9bEqi5GjBjB+fPnOXPmDD179uTz\nzz+vtu/q1atxd3c3eHFg8V+6HD8zMzNWrVrF+fPniYmJ4dtvv+XixYsGiFY8TJdj92B9usjISC5c\nuMCPP/4ox66J6N27N2FhYdUuVgmQkpLChg0bOH36NGfPnqWsrIytW7c2YpSiOrocP4A333yToKAg\nLl68SEJCQqUljITxa5DEavjw4bRocX/Xfn5+pKamau2XmppKREQEc+bMkTsHmxBdjl/Hjh3p27cv\nAFZWVri5uXHz5s1GjVNUpcuxe3h9OjMzs4r16YThubq60rNnzxr7tGnTBjMzMwoKCigtLaWgoEBu\nGGoidDl+2dnZHD58mFmzZgH3p9xYW1s3RniikTRIYvWwf/7znwQFBWl97a233uLLL7+s+EMgmp6a\njt8DKSkpxMXF4efn10hRCV1Ud+zS0tJwdHSseO7g4EBaWlpjhibqwdbWlsWLF9OlSxc6d+6MjY0N\nzz33nKHDEjq6du0aHTp0YObMmfj4+PDaa69pXbRSGK86ZzTDhw+nd+/eVR67du2q6PPZZ59hbm7O\nlClTqmy/e/du7Ozs8Pb2ltEqA6jv8XsgLy+PiRMnsnr1aqysrBoj9GavvsdOLrsbli7HryZXrlzh\nb3/7GykpKdy8eZO8vDy+//77Bo5aPFDf41daWsrp06dZsGABp0+fxtLSki+++KKBoxaNqdYizNX5\n9ddfa3x906ZNREREsH//fq2vR0dHEx4eTkREBEVFReTk5DB9+vSKpRtEw6rv8QMoKSlhwoQJTJ06\nlbFjjaP+1ZOgvsdOl/XpRMOp7fjV5uTJkwwcOJB27doBMH78eKKjo3nllVf0EZ6oRX2Pn4ODAw4O\nDvTv3x+AiRMnSmL1hGmQa3CRkZF8+eWX7Ny5k1atWmnts3z5ctRqNdeuXWPr1q0MHTpUkqomQpfj\np9FomD17Nu7u7ixatKiRIxTV0eXY6bI+nTC86kbyXV1diYmJobCwEI1Gw759+3B3d2/k6ERtqjt+\nHTt2xNHRkcuXLwOwb98+PDw8GjM00cAaJLF64403yMvLY/jw4Xh7e7NgwQIAbt68yahRo7RuI5cn\nmg5djt/Ro0f57rvvOHjwIN7e3nh7exMZGWnIsAW6HbuH16dzd3fn5ZdflruSmoiwsDAcHR2JiYlh\n1KhRFQXbHz5+Xl5eTJ8+HV9fX/r06QPA3LlzDRaz+C9djh/AN998wyuvvIKXlxcJCQksWbLEUCGL\nBqDQyAQnIYQQQgi9kNvxhBBCCCH0RBIrIYQQQgg9kcRKCCGEEEJPJLESQgghhNATSayEEEbrxo0b\n9OvXD29vbzw8PFi9erWhQxJCNHNyV6AQwmiVlJQA94uC5+fn4+HhwZEjR2TBUyGEwciIlRDCKJw4\ncQIvLy/u3btHfn4+np6eJCUlYWZmBkBhYSFmZmYolUoDRyqEaM5kxEoIYTQ++ugjioqKKCwsxNHR\nkXfffRe1Ws2oUaNITk5m5cqVFYuiCiGEIUhiJYQwGiUlJfj6+mJhYcGxY8cqVWy4desWAQEBRERE\n4OzsbMAohRDNmVwKFEIYjTt37pCfn09eXh6FhYWVXuvUqRODBw8mPj7eQNEJIYSMWAkhjEhwcDBT\npkzh6tWr3Lp1i/feew9bW1ssLCy4e/cuTz/9NOHh4fTs2dPQoQohmilTQwcghBC62Lx5My1btmTS\npEmUl5czcOBAzp8/z9tvv41CoUChULBkyRJJqoQQBiUjVkIIIYQQeiJzrIQQQggh9EQSKyGEEEII\nPZHESgghhBBCTySxEkIIIYTQE0mshBBCCCH0RBIrIYQQQgg9+X/xu1Lthg2m4AAAAABJRU5ErkJg\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x3fb3ad0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Code posterior distribution\n",
"xx = np.arange(-2.5, 3.5, 0.1).reshape(1, -1) * np.ones((3,1))\n",
"xx[0] = 1.0\n",
"xx[2] *= xx[1]\n",
"cPost = (xx.reshape(1,xx.shape[0], xx.shape[1]) *\n",
" muPost.reshape(muPost.shape[0], muPost.shape[1],1)).sum(axis=1)\n",
"# posterior mean\n",
"cPostMean = cPost.mean(axis=0)\n",
"# 95% credible interval\n",
"alpha = .05\n",
"cPostCredInt = st.mstats.mquantiles(cPost, (alpha/2, 1 - alpha/2), axis=0)\n",
"# Data versus code posterior mean and credible interval\n",
"plt.figure()\n",
"plt.plot(np.array(x)[:, 1], np.array(y_obs), '.')\n",
"plt.plot(xx[1], cPostMean)\n",
"plt.plot(xx[1], cPostCredInt[0], 'r--')\n",
"plt.plot(xx[1], cPostCredInt[1], 'r--')\n",
"plt.legend((\"obs.\", \"code post. mean\", \"code credible int.\"))\n",
"# NB : credible intervals are computed here for the code, NOT the observations\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD9CAYAAABHnDf0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIUruhBCihv4HpXhZo1hlMIYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x406cc50>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cPost.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 13,
"text": [
"(2000, 60)"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment