{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Blastocyst Development in Mice: Single Cell TaqMan Arrays" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### presented at the EBI BioPreDyn Course 'The Systems Biology Modelling Cycle'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Max Zwiessele, Oliver Stegle, Neil Lawrence 12th May 2014 University of Sheffield and EBI." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we follow Buettner and Theis (2012) and use the GP-LVM to analyze some single cell data from Guo et al (2010). They performed qPCR TaqMan array on single cells from the developing blastocyst in mouse. The data is taken from the early stages of development when the Blastocyst is forming. At the 32 cell stage the data is already separated into the trophectoderm (TE) which goes onto form the placenta and the inner cellular mass (ICM). The ICM further differentiates into the epiblast (EPI)---which gives rise to the endoderm, mesoderm and ectoderm---and the primitive endoderm (PE) which develops into the amniotic sack. Guo et al selected 48 genes for expression measurement. They labelled the resulting cells and their labels are included as an aide to visualization." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the paper, they first visualized their data using principal component analysis. In the first two principal components this fails to separate the domains. This is perhaps because the principal components are dominated by the variation in the 64 cell systems. This in turn may be because there are more cells from the data set in that regime, or additionally it could be that the natural variation across the 64 cell systems is greater. Both are probable causes of the dominance of these cells in the first two principal components. The first thing we do is plot the principal coordinates of the cells on the first two dominant directions. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### This Notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we will perform PCA on the original data, showing that the different regimes do not separate. Then, we follow Buettner and Theis (2012) in applying the GP-LVM to the data. There is a slight pathology in the result, one which they fixed by using priors that were dependent on the developmental stage. We then show how the Bayesian GP-LVM doesn't exhibit those pathologies and gives nice results that seems to show the lineage of the cells. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we perform some set up." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pods, GPy, itertools\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we load in the data. We've provided a convenience function for loading in the data with GPy. It is loaded in as a `pandas` DataFrame. This allows us to summarize it with the `describe` attribute." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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ActbAhcyAqp3Atp12aBmp4Cdx2Creb312CebpaDab2DppaI...Sox2Sall4Sox17SnailSox13Tcfap2aTcfap2cTcf23Utf1Tspan8
count4.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+02...4.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+024.370000e+02
mean2.089245e-082.400458e-083.011442e-082.009153e-081.416476e-082.661327e-081.828375e-082.329519e-082.993135e-082.077803e-08...2.180778e-082.146453e-082.077803e-082.585812e-082.473684e-082.670481e-082.009153e-082.231121e-082.263158e-082.606407e-08
std1.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+00...1.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+001.001146e+00
min-2.997659e+00-2.140030e+00-1.768643e+00-2.355953e+00-4.420191e+00-1.972546e+00-2.493296e+00-2.290915e+00-1.641875e+00-1.755517e+00...-2.246728e+00-2.015028e+00-2.960914e+00-1.964500e+00-2.033562e+00-1.886886e+00-2.238215e+00-2.089612e+00-1.825355e+00-2.035440e+00
25%-7.169942e-01-7.796685e-01-7.171038e-01-9.337937e-01-2.516838e-01-6.446426e-01-7.717112e-01-8.545864e-01-6.703301e-01-1.018770e+00...-7.734272e-01-9.343944e-01-6.515803e-01-7.255418e-01-7.276985e-01-8.376303e-01-9.886838e-01-9.197137e-01-9.236930e-01-7.673579e-01
50%9.227372e-02-1.782182e-01-1.842611e-012.928931e-012.146358e-01-1.353097e-012.772327e-01-6.806050e-02-2.415102e-011.097815e-01...7.709900e-038.293864e-02-3.701860e-02-1.972392e-01-1.336842e-01-2.656403e-012.828122e-01-1.836380e-02-1.127644e-01-2.462695e-01
75%6.808323e-016.245760e-013.312916e-018.234601e-016.738631e-014.854397e-018.213037e-019.125241e-014.854736e-019.259312e-01...8.608111e-018.312436e-016.177259e-011.082358e+005.329677e-019.967453e-018.099583e-011.022974e+008.257577e-016.422915e-01
max2.490650e+003.564713e+002.627702e+001.687127e+001.569268e+003.427747e+001.826346e+001.729923e+002.780331e+001.671790e+00...1.709987e+004.489121e+003.565258e+001.655467e+002.231074e+002.104293e+004.187598e+001.808619e+002.208022e+002.270316e+00
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8 rows × 48 columns

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" ], "text/plain": [ " Actb Ahcy Aqp3 Atp12a Bmp4 \\\n", "count 4.370000e+02 4.370000e+02 4.370000e+02 4.370000e+02 4.370000e+02 \n", "mean 2.089245e-08 2.400458e-08 3.011442e-08 2.009153e-08 1.416476e-08 \n", "std 1.001146e+00 1.001146e+00 1.001146e+00 1.001146e+00 1.001146e+00 \n", "min -2.997659e+00 -2.140030e+00 -1.768643e+00 -2.355953e+00 -4.420191e+00 \n", "25% -7.169942e-01 -7.796685e-01 -7.171038e-01 -9.337937e-01 -2.516838e-01 \n", "50% 9.227372e-02 -1.782182e-01 -1.842611e-01 2.928931e-01 2.146358e-01 \n", "75% 6.808323e-01 6.245760e-01 3.312916e-01 8.234601e-01 6.738631e-01 \n", "max 2.490650e+00 3.564713e+00 2.627702e+00 1.687127e+00 1.569268e+00 \n", "\n", " Cdx2 Creb312 Cebpa Dab2 DppaI \\\n", "count 4.370000e+02 4.370000e+02 4.370000e+02 4.370000e+02 4.370000e+02 \n", "mean 2.661327e-08 1.828375e-08 2.329519e-08 2.993135e-08 2.077803e-08 \n", "std 1.001146e+00 1.001146e+00 1.001146e+00 1.001146e+00 1.001146e+00 \n", "min -1.972546e+00 -2.493296e+00 -2.290915e+00 -1.641875e+00 -1.755517e+00 \n", "25% -6.446426e-01 -7.717112e-01 -8.545864e-01 -6.703301e-01 -1.018770e+00 \n", "50% -1.353097e-01 2.772327e-01 -6.806050e-02 -2.415102e-01 1.097815e-01 \n", "75% 4.854397e-01 8.213037e-01 9.125241e-01 4.854736e-01 9.259312e-01 \n", "max 3.427747e+00 1.826346e+00 1.729923e+00 2.780331e+00 1.671790e+00 \n", "\n", " ... Sox2 Sall4 Sox17 Snail \\\n", "count ... 4.370000e+02 4.370000e+02 4.370000e+02 4.370000e+02 \n", "mean ... 2.180778e-08 2.146453e-08 2.077803e-08 2.585812e-08 \n", "std ... 1.001146e+00 1.001146e+00 1.001146e+00 1.001146e+00 \n", "min ... -2.246728e+00 -2.015028e+00 -2.960914e+00 -1.964500e+00 \n", "25% ... -7.734272e-01 -9.343944e-01 -6.515803e-01 -7.255418e-01 \n", "50% ... 7.709900e-03 8.293864e-02 -3.701860e-02 -1.972392e-01 \n", "75% ... 8.608111e-01 8.312436e-01 6.177259e-01 1.082358e+00 \n", "max ... 1.709987e+00 4.489121e+00 3.565258e+00 1.655467e+00 \n", "\n", " Sox13 Tcfap2a Tcfap2c Tcf23 Utf1 \\\n", "count 4.370000e+02 4.370000e+02 4.370000e+02 4.370000e+02 4.370000e+02 \n", "mean 2.473684e-08 2.670481e-08 2.009153e-08 2.231121e-08 2.263158e-08 \n", "std 1.001146e+00 1.001146e+00 1.001146e+00 1.001146e+00 1.001146e+00 \n", "min -2.033562e+00 -1.886886e+00 -2.238215e+00 -2.089612e+00 -1.825355e+00 \n", "25% -7.276985e-01 -8.376303e-01 -9.886838e-01 -9.197137e-01 -9.236930e-01 \n", "50% -1.336842e-01 -2.656403e-01 2.828122e-01 -1.836380e-02 -1.127644e-01 \n", "75% 5.329677e-01 9.967453e-01 8.099583e-01 1.022974e+00 8.257577e-01 \n", "max 2.231074e+00 2.104293e+00 4.187598e+00 1.808619e+00 2.208022e+00 \n", "\n", " Tspan8 \n", "count 4.370000e+02 \n", "mean 2.606407e-08 \n", "std 1.001146e+00 \n", "min -2.035440e+00 \n", "25% -7.673579e-01 \n", "50% -2.462695e-01 \n", "75% 6.422915e-01 \n", "max 2.270316e+00 \n", "\n", "[8 rows x 48 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s = pods.datasets.singlecell()\n", "Ydf = s['Y']\n", "Y = Ydf.values\n", "labels = s['labels']\n", "marker = '<>^vsd'\n", "Ydf.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we follow Guo et al in performing PCA on the data. Rather than calling a 'PCA routine', here we break the algorithm down into its steps: compute the data covariance, compute the eigenvalues and eigenvectors and sort according to magnitude of eigenvalue. Because we want to visualize the data, we've chose to compute the eigenvectors of the *inner product matrix* rather than the covariance matrix. This allows us to plot the eigenvalues directly. However, this is less efficient (in this case because the number of genes is smaller than the number of data) than computing the eigendecomposition of the covariance matrix." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "# obtain a centred version of data.\n", "centredY = Y - Y.mean()\n", "# compute inner product matrix\n", "C = np.dot(centredY,centredY.T)\n", "# perform eigendecomposition\n", "V, U = np.linalg.eig(C)\n", "# sort eigenvalues and vectors according to size\n", "ind = V.argsort() \n", "ev = V[ind[::-1]]\n", "U = U[:, ind[::-1]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we will define a little routine, which puts the legend on the right side of the plot, so that the legend does not overwright the data plot" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def legend_to_the_right(ax):\n", " box = ax.get_position()\n", " ax.set_position([box.x0, box.y0, box.width, box.height])\n", " _ = ax.legend(loc='center left', bbox_to_anchor=(1, 0.5), numpoints=1)\n", " \n", "def plot_latent(ax, x, y, marker, labels):\n", " GPy.plotting.Tango.reset()\n", " # make sure labels are in order of input:\n", " ulabels = []\n", " for lab in labels:\n", " if not lab in ulabels:\n", " ulabels.append(lab)\n", " for i, [label, m] in enumerate(zip(ulabels, itertools.cycle(marker))):\n", " symbol = marker[i % len(marker)]\n", " ind = labels == label\n", " ax.plot(x[ind], y[ind], marker=symbol, \n", " markerfacecolor=GPy.plotting.Tango.nextMedium(), \n", " linestyle='', \n", " label=label, mew=.2, alpha=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA Result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, using the helper function we can plot the results with appropriate labels." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " /home/maxz/anaconda/lib/python2.7/site-packages/numpy/core/numeric.py:462: ComplexWarning:Casting complex values to real discards the imaginary part\n" ] }, { "data": { "image/png": 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9JfnDh/PTTz7heGk5pZX1+GKia4qIi33Y9mk9o0ucUw+lJlTX0XW902vrTkVY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2] = plt.subplots(1,2,figsize=(13,4))\n", "\n", "fracs = (ev.real/ev.real.sum())[:30] # Take only the first 30 eigenvalues\n", "\n", "ax1.bar(np.arange(len(fracs)), fracs)\n", "\n", "plot_latent(ax2, U[:,0], U[:,1], marker, labels)\n", "legend_to_the_right(ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GP-LVM on the Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Buettner and Theis applied a Gaussian process latent variable model to the data, but with a modified prior to ensure that small differences between cells at the same differential stage were preserved. Here we apply a standard GP-LVM (no modified prior) to the data. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "m = GPy.models.GPLVM(Y, 2, kernel=GPy.kern.RBF(2, ARD=1)+GPy.kern.Bias(2))\n", "m.optimize(messages=1)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KVm1/12b4VPz+B9i7cRHKD2vpmnYKCQmrzRqRQO0gwqroGQ2JYiZ4+kheS0tL\nTCpSK3fa3sNmgqfv9OH3+w3lThvNM5JMbRRPi5HM6cUznuAZyZ1ad+04fS0tLVHnUBGSJxCEEYIn\nEAhSDqMOFsmkZ7Vipxc8/dy0FosFl8vFkFHTaG5+iF3rFxI8shqXbMFms0Wurx+w+HR1NT9s2YIS\nCtGiKIQ0n2V2747b7Y4SPG0HDG1HBxWtQGkFTStSRoLn9/tN5U7fBk8vmaqAqedWy6G+mgmevlz6\njiDaCJ6+vaB2XXtuI9FLJHnaeyckT5CqCMETCAQph354FLOBjY2ieGbRO/1UZaoASZJERkYGQ+9+\ngqamh/B5myNDp6iiYbFYItLiTk/H9c47dK+sBEVB1Yu9ubl45s5Fbi2vmkLVds6IJ3hGi5ngqZ0+\n9IM162f8UHvWmgmevhzqq17mjATPqJ2gtpxqilufyk6mLR8QaaunPb+2nKJtniDVEYInEAhSjnjD\no5xtOzz9AMfadmta0VAUhbS0NDweT1SaUU0rKooSKVNw9Gh4802QJCRACYXwjhhBx6ysmA4Q2kGR\nEwmeVtDU7RAen8/v9+LxeKIig/r2d0aCZ7VaTaOI2uFL1LKYSZ1RmtYoghdvOBezCGU8tAMiq9dS\n3wvJE6QyQvAEAkHKYTQ8itVqjYrCGcmdUVpWOyyKNuKlFTwgRnj0i7Z36I0PPcSBVasoOHECFIXy\nDh24bvJkbHZ7RGi0cqVtv6cfF04veNp0a8Dv58jO1aSd/oamdmPJuW5AjOBp62M0vIy6XzIRvGSi\nd2Zypm9/p15PlUu1PH6/P6neuOqrts2dfh8hdpcXSZLEzb8AKIpi+D+CEDyBQJByGE1PpspZvAie\n0bh4DocDX2Mjh7Ztw2qxIFutyIDUGh3LHzKE9OxsIHosNr3waGeByMjIIDRmDLz+OgrQcvfdZGZl\nRTpmaOXKaJgSrZQYtpsLBPh++wrcNd/QN6MGKUtir8ORMIKnl7tkIngqZyN3amTRLIKnbXenXl+b\nEjcaCkaLei71fmunWNOWV7THu/yIe35+xPv/QAieQCBIOYzmoNWmaPURvFAgwKkdO3CpnSkcDuyt\nQpg3eDDBYJADc+fSoaYm6jrfZ2VR94tfkN2mDQAhRYFWSelaWEhaVhaSJEW1B1Plo9fUqXy3YgUo\nCj0efjjSMcMo3apG0IwiZ9pjtAMv92oVO3V8PkdrhFKVJ7/fbxq9M7p/8QQvUaeKeGla7T3Rz5er\nH6tP37afocWXAAAgAElEQVRQj3oei8USJXnasfO0+6plF5IhSEWE4AkEgpTDKAplNNhxJGVrtZK9\neDE31tREyceB9u1xDR+O1Wol1++ne3191HX8Hg8tf/kLuSdORLYpwKEOHbAVF0ciSKpEaFOH6enp\ncO+9IEmkp6dHInzaqcK0w5SoPXL1qeCocetkGZvViiyH2/ZphcZus0UJnnYeXTOxTCR4Woyid/re\nvWYp2njt78zkzqyThpHkxUvpiiieIFURgicQCFIO/TApicbD83g8nLzzTvjoo7AI0Prgv/de0tPT\nsVqtuB57jMDzz2NrFYCgLJP+5JPYbDaUP/6RiDooCtbx40lLS4sZr+7MLuFz9PnpT1EUBavVGiN4\n+siXdhw8owiexWLB7XbT766H8fsns790MVLFOrp6TiFJEjabDafTGTUun9HwKPp2eEaCZ9bBwqjc\nZvXR3hOj4VH0U6mZDf8Sb1EFW91X39FC+90IsROkGkLwBAJBymGU4jTrVatG8bqOHUv5V19x3alT\nIEkcat+eXlOnRo4dNGMGX7z5JjdVVACwr107hs+ciaIobFy0iG7HjoWnMOvUiQGPPQZgGm1SSUtL\ni5IRdRBfo0UVHKPUqD7q5nK5GDTip/h8D/Ld1x8QPFqCx2rBbrdHJCqe3GklT03lGgmetm7JyJ1Z\nGzqj9neq4Klj9anHa4/RH6sfhNlM9oyifypC9q5O6upOk5mZcUHPOWLECObNm0deXt4FPe+lQgie\nQCBIOeKN66aXO/XV7XZTNWIEvPceKArcdx9paWmR49LS0vBMm0bwuecASJ8+HbfbDYBtwgSUP/4R\nFAXbhAm43e64kmAmN/rP1PeSJEVmcjCbxcJouBOn08nQu5/A632YgL/ZVPDMZFJ7z/QzWejLYCZ3\nZhE8fT316Vm1I4hRj2X9fTMSPG1E1Kg9nojiXT2EQiECgUB4Hmgd327ZSfHqLciKn+f+5fELcr2S\nkhIWLlzImjVr4nZiuNIRgicQCFKOeJ0V9Iu2d+31U6ZwcN06JFmm19SpMVGuobNmseYvfwGg6Kmn\nIlLQf9o0Ni5aBIrCwMcei/tQkCSJ09XV7Fyzhsr9+yPbFUUhpCi0yc/nhjvuwJOZGXOckVyZtZ3T\n9jpNT09HkjIiIqS25/N6vfh9zTid7qhoozYyaCR4RuPwmbW7M5O8eIKnyp2Z4JmNm2cmeep++jqa\nCZ2QvSuDUCjERys+Z+lX5Tw4/CZG3nVL5DNV7Lb9EAKbh8HXOk3P4/P5+OvC5Tw6eYyhJOopKyu7\nqsVORQieQCBIOczakxl1vNBKnsvlomXMGKw2WyR6p5UTj8dD+pNPIkMkekfrunXCBKTWdb0AaZEk\nCZvLRXD+fPrs3IlVI2z7ZZnAjTfiuPvuqHSkepy2/Zq6zaye6nutsKlS1NDQwMaVb9ByZCWePk9y\nfZ9bDa+jvVfxhmkxE7p46dmGhoZIu0CtrGnTsz6fzzA1a5aW1U5vps4eohc9rbwZtYsUXH60YvdD\nUxqyJTvyXZVu3cXCVWURscNmfh6fz8d7H69jZekRquqD/N2EYFKC98tf/hKABQsWXJD6XC6E4AkE\ngqsKSZKmt64WKIoyx2SfuJKnlTt/UxOHWodIsdtsWDt1wmqzsWP1aq675Rayr7kmKnp086xZhuUa\nMG1aUmlZVRQdEydCeTk0NQFhwfA7HGRMmoTH44nMsapvb2cUPdPWT7+ulcKmpia++eQ1ane8S35G\nNbLLQ33rANDaa2nPbTZMi7btXbzFKDUrSRJ79+1l69Yt5HXLY/DgIeHhanSCp62HipHcGc1Zqy5q\nObRDpSSK4AkuD0ZiJ1ui9zlxsoaq015Cchqy8WmixK4mlI0k5SJJJy96+a80LqngSZI0CagF8hVF\nmX8pry0QCK5+JEkaDpQoinJQkqQFkiQNVxRljX6/RB0HtIvdZsP99ttc39q5Qu1Fe7BjR2zDh8dI\ngcvlAmIjPi6Xy3QwXX1nC0mS6Pv442z88EO67NyJJRSi3GLBlp9Pn5/+NErKzDoA6Nu+Gcmduni9\nXr5a/iq1294mL6OatlmtHRSksPSdqDhC2/adY3qcas+t72Chb68XT/D0cidJEg67A5vdypEfvudw\n8SEK8rszdOjNuN3uSO9ZbfROH7nTSpx2SjPt/LVquZOVPCF9l5fautPsPlTJyQYJ2WYcmrun6Fbu\n/snNLFn9JUu/3Mf3jWnIljP7lm3bxdzXVlFn69wqdpeq9FceZgJ8wZEkqT9woPXH+EDre4FAIDgb\n8oGi1vUDre9jSCR32nW3x0NzUVFYWlqPVwBb61AnWhkwQz90SaIULRCO4k2ahNKaogw4HHjuvx+P\nxxMjRonqYNTBQl33+Xx8vfw1Dm14C0vgFBYpFCmj39vInuX/xpYvF0dFNo2mczOa0k3t9au+1y9G\n07+pSzhqKCFJMharlYOHD/Lue+/w5ZdfIElS1LHac2jLo5ZTO42czWaL6jltNAOG9jtJ5vsVXBpy\nsrP416en8Kd/Hs2d3RWsgVrD/WRZZtyoO3jld4/z9KgOdHbW0BIMANC/Tw/++bEi+rT1oQSbLmXx\nrzgudYr2eWAk4QhezL+6BQKBIB66yP8A4G9G+yWKLullqGDSJA6sW0f3kycj0bvCxx+PefjrIzx6\nsTtb+j3+OBs++ICmvXuxFxTQt3V4FW0d4kXzjNrgeb1eQkE/2bnh1LLX66UlFKRLpw60kULsOtoA\nwWauby9htyh0yWqhufXYUCiE1WqNGQZFjX7p07N79uyhbMtmCgoKuO3W23E6nYbRO/0CYLPZYqMr\nkoTVasXhcESJmdk4edp0biAQwGazRQZHVgeK1sqd6GhxdXBtl47MeWoS3x85xrvLv2b97jqgQ8x+\nqujdN+I29u47ENk+uH8vBvfvxcayHRSv3sq2ih/n93jJBE9RlDJJkg5KklQNTE94gEAgEJggSdIA\nYJOiKFuMPjdKD8aTPbfHQ3DMGJQ33iCkKFTeeCP7P/8cyWKhuaGBE3v2IEkS7W+4AU96Ogrhacny\nhwwho3UeWogWvnhRPBW3241j0iSOr19P11tvjXTQMBIitZOA9pzaunm9XrZ9/jd8Bz+hzeCf0WPA\nnWxa8xZN5ctoN/TvaX/HQ7wz9wE6yCfJbytRXhnCZlFQlPC59J0SjARPf32bzYbVZuHQ4YMcOniQ\n66+/gWHD7sLlckVFzLTlVdctFgsSZySq5029GDbsLhwOR0Tc1P2NZrjQSp26aNvt6VPVZrIp0rRX\nLlrRs9nNe1PIssyNN3SP2a4Vvbc/+jSm41Iirvao7iUTPEmSsoD9hOVuviRJmxVFOXipri8QCFKK\n4Yqi/Mrsw0OHDkXSdJ07dyYjIyNG6rSvsixz44MPcnDVKhRFIWvXLnLWrQNJwhkKUV9dTZ4kYcvJ\nifzoH+7YEdvSpVFtwwBOV1dzYMMGjBr/FAwZQmZubtS2/tOmceNDD+F0xg7zYJRO1H+mip3/0Aq6\nuE/is4bYs2klVd++TGfnCXJdEkE53LGjbYd8LFUVWGU/3dtZ8QUVQOKwTha103wBMYKnXttqtSIh\nIckSyLCvfC/7yvfR48YejBgxEofDESN2KharBSSJ3j17U1Q0ItKbVj9vrLZDhVbs1EGQjYa+MZul\nwywdq30v5O7K49ouHc/reFX0zpaqqqrzuu7l5lKmaKcDryiKclqSpFrgfuBF/U6//e1vI+vDhg1j\n2LBhl6p8AsGPnk8//ZRPP/30chcjLpIkzVAU5cXWdcNOFgUFBdha5151u92mbdm0791uN8o992Cz\n2XDIMsrLLyMBLlnG73SiED21ln3iRFwuV8yMCRaHg4bf/55urTNeqBzq2BHLokVRQ3Vo26/p0736\nDhq6e4DX62XrZ+8ROLySLq5KfDaFXYcbsUs+bmq/DrvL2Xps+PicnBym/a+3OXnyJB+/8gucJ7/i\n+naBVvExT/mq19NGP7SCd2aOtnDnFCQJ2WKJRNXU/bXHAvTu1ZvCgYVRnVaMBE8bubPb7VFyp7a7\n00pdIrFLFMETCFKFS9oGT1GU062vayRJMmwcrRU8gUBwadH/o+p3v/vd5SuMAZIkFQFzJUn6FyCH\n8D8UjfYzbFgfL1XbUFuLpVMnLDYbFllmk9OJ69QpJOBETg6y1cr1tbWgKHzftSu3tA6Lok3JKoqC\ny+VCHj8+LIgaIbSOGxcZO08/Hpv2+GRSu/q2eapkaXdX59PVy0ubNm2Y9uxbVFZWsmTeP+Gq/YaQ\nx7hnrjZiZ9R712KRw1dSFJCgV6/ejBo5OiLV8SKQubpIplrWurq6SEcPbbu7YDAY1ZnCKGJnlpo1\nkzyBIJW5lG3wXpQk6ZeEe77liGFSBALB2aIoSglhsYuL/kGuf9gbDd9hd7sJzZtHp+PHkYCK+nos\nTU10B7rLMnsVBamxkRaLBeuECTHRu9byAdB76lS2fPQRea1RvMMdO9Lv0UdRFIXT1dUc/PZbzsTW\nwr12FSBv0CDSNW369HXSvno8Hm4Z8yRe7yNs+fRdvAeWc9O1lfgCHnYGb8ZZsYG89Gqsjujxwpqa\nmvB7m2jTpg2Pzv4LlZWVNJ6uNrx/Rm2Wou9pOMKnip3H4zlnkVLv4+7du1m7roQePXoy7M67onr3\n6nvMGoldMhE8o3sqoniCVONSR/BiUrICgUBwoTFLxRlF89R1l8uFPHYsyiuvIEkSN6Wl8XVzM10B\nl9tNd0Wh3Osl0L49w2fMAGInvFffR8715z8DII8fHxFCi8NB/X/9F3nHjkWV+WDHjlgXLTKsi1nd\nZFnG4/Fw+31P0dz8KN+seJ2DX79FbtZWuua2cLDCjsWdQb4SFruNK9+gcf8S2gz+GQNuGQWEI2mZ\nmZmRgZXN7pv2+up969mzJ4WFhVFDu2jvcW1tLQ6HI2rWDzMiKe7WtPCOndvZsXMHN1x/I7fecqup\nzBkJXbzUrP6eCrkTpCpiJguBQJCyJJI8/dJr6lR2LF1KXkUFLklCad+eclmmd0sLLkmisl07rn3y\nSdxud2ROWH0bPHVbr6lT2fbxxwD0feSRyHaXy4Vl3LjYFG6rBOrLr2+HZ1QPr9fL5jVv03JkNUML\nQJKakWUrPbplUJX3CyoP7+DE13+gk/M42U4JnyTFlFlbF/21jK5t1I5RX66dO3ewqmQ1/fr2Y8zd\nYwxFLyYN3BralJABhe/27Gb37l3k5xUwaNCghGJn9l1r66B9vVxc7utrEYKbmgjBEwgEKYdRxCbe\nouJ2u7G0tp8DuG7mzLB4tL7vOn06Q2bOjOyvlzut4LlcLqSxY5EkKRK9UyWm96OPRqVwD3XqxICf\n/jSmDmZyZygxrc3hZCncq1VRwO9tZO/a3zO0mx/JBRDebhR51D/ktdc3u4+7du3i08/W0qdPX+4e\nPSYmRSvLFhQlxOayTWzduiUsemPuiRI9fQSttatGuA2h+ipJyLJxvZON1l0pQnWllEOL9h8agtRB\nCJ5AIEhpjB6oRg9/den7059S9vHHSITnnZUkia8XLwZgyMyZUVOSmcmdut5r6tTINu213W438vjx\nhFrF0TpuXFT0zkju9OXUSo7b7eaOsbNobn6M0pK/0rR/KR0dxzU9XFtRi2FQdqOHu9n1tREzgK3b\ntrB9+/aIwHk8ntYDWgNykhQRvS1bt9C3Tz/uvffeSJ2NZDIczZPo0aMnt992O5Ik0dTURGNjY0Jp\nu1ASdSHTtxdT7M723GZ1Eunq1EIInkAg+FFgJCuNdXWUf/45DT/8EJniSrZYOJWWRka7dgSam8lq\n0wb7pEkAkYGIjTCSJXVsO6Nj+rRG8QD666J3ZuVVX81SzR6Ph2Hjn6ap6TFKV/+Vhn2L6X33DGob\nKmjct4ROjuORrrZGZUo0TIvRdcMSJ6EQYvOWTWzZtpV+ffpx3333Gd4nICoaZ3QPJWR69+lN0fAi\nrFYrPp+P5uZm0/PFq8flJJ54Xc5IntF9N/rsSrmPWnw+Hw6H46Jfp6SkhNmzZ1NWVkZRURGvvPIK\neXl5F/26FxIheAKB4EeB/mGlKAoWux33e+/Ra/9+rK1t6gB2AVKPHthaU6sDn3wy6rhkFhWzB7k6\nnIoMkZRlIiHQL83NzQT9PrJycqOEyePxcOf4WTQ1/RS/r5nMrBwaGx/l29Vv0rhvCW0w7hxidM34\nZYg5AgmNwHFGJmWLhQH9BnCPLkVbU1OD3W6PRPN69+5N//79IzNa+P1+05Syvvey2bZkXvX1NBoi\nJlnOJbJ4OYRPW0fte6MyXQrZa2lpiXSyMeOt8ePJu+02Bs6cSZZuqJ0LRW1tLSNHjqS4uJiioiL+\n4z/+g8mTJ1NaWnpRrnexEIInEAhSGqNOBOpidzjwjRxJ6PvvweuN7CO53eQ++GBEOowGItafU79u\ndH0tajrYLN1o1jFAFbtNa96iuXwZ1wx5hkG3jzE8j9vtjkQdw2ncmVRWTqSxvtawg4VRGbVRPLN2\nboqiIMtW+vfrxz2tKdrIsbLMwP4DuGfMvVFip15v27ZtrFy1gn59+3H33WPIysqKzFqh/a7M0uLq\ndrPPk5G+C0m87zHR9gstefHa1mm/10Sip352sSVvw8cfU/23v9HliSfoO2qU4T7tGxu55k9/4usF\nC7BPnszAWbOiRG/HunWkt2tH1x49zrkcJSUlDBw4kIkTJwIwZ84cXnjhhXM+3+VCCJ5AIEg5EomA\nduk2YQKHS0rI27sXayhEucWCraCAvo8/Hlfo4glSMhE8IDJnq5Gc6dcjYlfyFs0HltHJeQLJJRHQ\nzfeqfdWWo6mpiY2r3qBp/1JyBz1Nx85dY/bRX1vfLk4vd+FOEDL9+51pe6fdv1+/fgwePNiw96z2\nnGr7vLKtW+jXpy8jR46KDHSs/85aWlpoaWmJ+R6TkUGz+iYSl2TkJpHYne37cyWeOBql4PXo0/LJ\nHHOhsADXfvklTevXs/TWW+OKXqeTJ+Hll/l64cIo0avZuJHKefPYfc893DRz5jmJ3v3338+IESMi\n70tLSykoKDjXal02hOAJBIKUwyy6o5UEdd1utxMcPRrl0CGU5mb8DgfZ998fidrpz3s+GEXAzORM\n+2okdmo61EwQ1feNjY1sWPkXGvcvpZPjODkuCX1rNrN6nT59GrvdHpVC1i69evaicGAhaWlphtfO\nyspKKC4xordlE1u2bKFnz54MH16EJEmG35uZ6Gnlzkj01PpeCFFJJjp3tusXqgzx9jWru1lU71JK\nHoBbUZIWvZyTJzlRVsaRbdvIuusuANo0N0NxMeXLlp2z6GVmZgJQXFzMjBkzKC4uPr9KXQaE4AkE\ngpRD+6DXC4EqBdr3eRMmcHjlSnwHDmDLy6PX1KmROVHrqqsp/+abMw82RUEJhWhRFLoVFpKWlZVU\nG7ZEKdh4gifLcngYFHX/yH8ifSZiztfU1MSGFa/TsG8JnZzHyXFKKK0H+bxeTtdW40nPjFvmXbt3\n8eln6+jVszcjR4yMGQYlOzs70pM2GWnVExEKdUyUM59Aq9jpBc/oezQTvnjpWvX65yIrybSlM0ux\nm32W6LznUyY9etHVpuKN/lFzOSQPwqLn3ryZg23bkjd0KBmZZ/5em4ETN99M52nTuG/MGMP6a0Xv\nq7Fjeej3v0/62rW1tUyePJna2lrWrl1Lv379LkSVLilC8AQCQcphFNXRSkAwGIxaPB4Pwbvvpmrz\nZrreeisOhyMiF1aHg7qXXqKbOvNE64PtYMeOWD/4wPD68eQtXsrTTATcbjd3jnuaqqoH+Hb1G3Bs\nXTiSJ8VG8QBOnTpF1cnjMQ89RVEI+JrZveolbLZf0WdIUUw5tZGb8PEK23dsY+fO7fTu1ZfRo2Pn\nmo2XFkwkedqySbKFfn37MaJoJDabDb/fj9frjZG7YDBoKHlmi1H07myjs8lGIs3qnihSm8w1zqVs\nRlE7o3uRSO4SRfYuNKfcbvz33EOPmTO59qabItubFYVDCcROy/HsbCwTJ1KkGb8yGYYPH87IkSN5\n7rnnzqn8VwJC8AQCQcphFPFRpUAvd+pSMGkSBZMmRabtUocDcTqdWCdMQPnjH6Mectbx46NmtFDR\nPxDN0rIxw41gLgRNTU18W/ImzfuX0Xbo39NzwjOUrn6T+n2Laa857tSpUyx6+e9xVH1FsNtDPP6L\n52hs/ClfLptHVdmb4blpZYU2DuVM6I/oh3WUcLROK6Fu2rZ9Czt2bKN3n76R3rBm9aurq8Vud0TG\nxDN/ECvIkky/gQMYPWp0pPdsIBCI+z0mWsyieIYlOA9RMYrMmn2PyYreuV47mfMYyZ323ujFzUz+\nLhZmYqdyw9y59L7llqTFrv/MmVzTqdNZlaG4uBhJkpgxYwYHDhyIbM/Pzz+r81xuhOAJBIKUQx+1\n08tdIBCIWdxuNy6XC6vVSktLCw21tXy/aVN4WqwOHdjt8XBddTUA33fpwsBHH41cT/uwMeuYoJ8H\nN5nonVbsOjmPI7lkgrLUOgxKOKLXVF9DVVUVi/7099ir1tMj14/URuKbUxU0NzezceUbBA6tJC+n\nhQPHbdjwoZj88hvKStQGQDozq0S8ad+2bdvG8hXLGdh/IPfdNzYig/r71LdfPwoLB+F0OiNypm8/\nZ5ai1cueUeQu2XTt2WJ0r/Sv8RajY4zOq94rs8/MymGG2X2Id0/M0rgXWvw69+1Ly5IlhmKn0ufW\nW+Oew+t04n/iiXMSO5XS0lI2b94c1bFCkqTIfM1XC0LwBAJBymEkAEZi5/f78fv92O12AoEAVqv1\nzNRXNhsNv/89ecePIwFVjY1IjY0EZRnGjTMc9Fj/oE4UufN6vQT9PjKzc6Ie9l6vlw2r/hIldhBu\n6+bz+ak4dpQ9GxdzaseHHKiEDvJ+bmoVO4tFTdtGl8lpt9CjawZefwvBFsWwjHpkuTViiYKMhb59\n+3L36LsjnSr0dYo+p0wo1MLG0g1sLtvEgAGFjBs7LqZHbXZWNoqiRB6e+t6wychdvI4XyciL0Xo8\njIQsWbGLJ3r6dX25EglevPPEi9wZ3Sd9ZFp7nosV0et0AXqqjvj5z8/7HHPnzmXu3LnnfZ7LjRA8\ngUCQcqgCYLVaDaN2qtipi8/nw2q1Rk1gb7fbUe67D2XePJAk8l0uyr1eAu3acdsTT8QIg9lD30js\nmpub2bDyL/gPfUL7m39O4e1jYo6TI70qzqSF/d5G1rz5S452bcP113iRZD/b62Ra0r1YLDKy7vnv\ndrsZNuFpGhoeZeOqN8KzWThP4LRLNOrumakoIEfETu1kES9yFzk+IpgyLaEQG78Ni97A/gMZP34C\nTqfTsI2XWtdE0bt4admz6Whxtpyt3J1t5PZClMPofEaCp94f9TvQRj1lWY4SPX07PKOInuDKQgie\nQCBIOdQ2dFq5U1/9fj82mw2fz4fNZsNms2G1WqOid+qD+MYHH+S7JUvIP34clyxzvG1bOj32WMy8\nsVriPexVsavb/g55GdVY7GkoBuPYuVwuho1/mlOnpvDVsnk0fLeQrp5TWCSFrhkB2jlkJMmDw2Hl\n+n7DcDTs4Lvje3DIQfKukZBkGW1uNdxJYxYNDVMpXf0mjfuXkmMip1p69+7DQM0wKGbioq1vZL21\n/Z4SCkW199P2ujW6vlZE4nWUMeo9axS9izdUytlwrlE79T6ZvSaSM7NyGpXB6FV/T7VyJ8tyVE9l\n9VV7/9V9tOfRS52QvCsTIXgCgSDlCAaDSJJkGMHTC54audNG79SHo91uJ3TPPSjz5wPQYdo0Bkyb\nFjc1q32vPsB9Ph/frHid2u3vkJ9RTdus1gcuEPD7qKupIiunTeSYpqYm1i+bT1XZm9T6bNzUJsD6\n70LISoC2GRLHavxkprtw2i10vv52dn11nKb63bRxh9h1TMFlsxBKjy6PooRns7jtvqdoaHgYv7cp\nbtkBcnJyItv00Sej4VH0dQfwB/xUnjhJ586deXbOv9KmTZuEaVGjdKF+SBSjcfESyZ3+mkbfo15i\n4n23+vrHkzr9Px6Monn6aySSJqMy6LebpWbN5FlFK3daydOWy+h+Ca4chOAJBIKUQ43gqe3qVLFT\nI3XaRZU7veCpy3WTJ1O+dClIEv0ffxyHw3FWD36v18vXn7zG4Y3v0MZWhUUCNbwWDPjY/skL2B1O\nBt0+JjzbxMo3aCxfQkf7cTJzmtlwJJ2jp7zkXSNzbY6dYIvC1/ubyW/vIBTw8e3ffsEd14N0gwWf\nX+LgyRZOK9nc1P8O0/vj8XhwuVyG6Tej+sRLL8ZLM1osFjp37MzJypMcOfI9j097jPvuG8sjDz8S\niYLGS00aiUiiIVHM0rPq+c5GQpKJzqrv9alYvdxp/76MRC/RvVDLbxZJNJNF7bHx7mdLSwuSJEVe\ntdE8NbpnVh4heVcmQvAEAkHKoUbwtJJntVpjJE8vdnrBA3A4HARGj8ZqsYQjeq0PPaOOBdp17cPe\n5XRybaf25Moh9lU0YlG85F0DkuKjjb2WQCDAp4tepnF/uI1ctlPC61coP95C20wL3dJkWgLhh6fd\nJtE+x8ku5U6kyrUo+NHmY7vkWjjSZgq3Dp8Q2dbU1ISvuZGMrJyzjlIlI3jaY9T1fv36MXToUDZu\n3Mi2HdtId6ejKArLP1nKkiWLuffe+3jk4UdwOp1R106ml+fZtLU723Z3RpKSTNTOSOy0f1vqery/\nNzOJMitnvLJozxWvTaMsy1Fyp/8u1b+PeKlaIXlXJkLwBAJByqE+sFTB00bpjBbtg9foQdl98mRs\nNhvBYBCLxRK5TqJG85Ik4Xa7uX3sTKqrp7Bk3j/iVL7h2mzYWxFCkcDpVs8lQczzXaG58TSKy4fd\nCooiAQo2q0Sv2yfRc+B/c/zYUZa/8SwNhz+nc2aIkKJg72QnKzs3PE1Z62wW1wx5hoG3jo6c2UzM\ntOt1dXU4HOGx7PR1rampweVyxQx/oq7nqhPAa+okSRKZmZmEQiGWLl3Mzh07+PWv/y0yLZQ+jWom\ndT0vVyAAACAASURBVEbp13iRO+059dfRlk0rKUafxxNfs4hdvL85veTpr52ovOq+Rh059PU267AS\nDAZjvttgMBhTBjWKl0xnCyF5VwZC8AQCQcqhCp768Ir3gDV6UBtF8SwWS+TBp36mj359f+h7JEmi\nW363GOlLS0ujoNet1O46yfc1B3HYffhw0j7LhtNhZ+Dwp2lqeoxvV71B/b7FdHKcoEfXDL5tHELZ\n8W9oYz1FtzbhXqmyxRp5gB7cupJOrhra3Oihxd/El3tb6Ojzse7DP1G/72M6OU7gtIRobmyIKjtE\nj9mnbzQvSRLbt29nxcrlDBhQyNj7xkZ1tvjq669Yu24NQwYPZfy48TGip0crXOo59u3by9/+9jce\nffRR7HZ71L5Gx2pFRS8tZhG784ne6cU1UeROu2j/1tRosf7VLGqsvw/xBC9elFV//4zkzmKxEAgE\nYo4JBoMxwh2vjIIrDyF4AoEg5dCmmtQoXqJ2UPEav8dbtNKy+oM1SLLEjF8+GbOf2+1m2PinaR71\nOOuXzafi29fp5K7CZTsjNm63mzvHR4vegNvH0nPg7/liyTxK1/+FNtZTBCTYtWEZR7/4L9pKB7km\n5MMihbBYZVqy+2I79RkZodM45BC7Djdiw0tL2t7IdbRyaiSq6rrFIhNSQnxbuoFvvvmKwoGDmDLl\nATweD9/t/o66ulrWfbqGjRu/YciQm5kwfkLMOHcALcEzklVbE05Jd+7cGYD1X32B2+Nm3Nhx4aFp\nTDoFqJiJm5nc6Y/T1t/ovdF9SCZyp0/H6oXOaDGKHGsxq4u+LEb/MNELnjbCqXY80l47XqpYf6+N\nxsi7HFE8o+YFF5rNmzdTVFREdesg51cTQvAEAkHKoRU8o7RZouVsBE+SJA4fPMy20m00HG0GYP2n\nX3H7T26L+hxJol37tny76g38h1dwfTs4WOGiKpRBge45qBW9gN+L2+1m1AO/4I6xT/H54leo3P4h\nxw7tAks57a8JRD3knA4nDpufnYdOY5d8XNcmfB/KDSJ3RkRLjbouU1NTxdLlS1m1aiWjRo3m2LEf\nUBQFv99PIBBg7boSNmz8hiGDhzBp4v2RThQD+g/glltuYf36L2hubqZzl85kpGdQOHAwWVlZrFi1\nnK3byti+Yxt9e/elqGhEZAw2s0ickQQmwqi+ie6HkdiZRXyNonbaRe2xrR2WRxtNvhCCpxc1/Xm0\n0Tt16CBt+Y2urV/0EWCj+3gponr1DfX8/wvm8L+m/emiXmf69OnU1dVd1GtcLITgCQSClEOd7gow\nffgZDfthlHJLJjW3YuFq9m/fT0GH60CCDSu/ZdAthZG05buv/A1fbRlDrq+nk+MEWU4JsNKjWwaN\nN/0L3XsNMayH2+0GTUTM5XIx+sF/pGrEo3yz4nWaD3zCvlMHseGjWxvwBxVkGaxWC93bW6DFgiTF\nRlv0IqGP4klSuI2dz+cDdUQ7CTIy0lEUWLtuDY0NzaRlhMumKAo+n4+qqmpsVhv3jLk3EsnLyclh\n8v2T6V7Qnc+/+IxBhYMYN248LpeLtWvXnrl+KMTmLZso21LGTTf14I7bz/QCNovEJYs+Eqets9H9\n0B8T77tPJHfqWIv6xaiTj/a6yaSZjUTTKMKsFzx1EHC/3x/TBlB7nxMJtpHoxYuUng0rv3kfu83F\nXQPHGn6+rPR1vL2/5NsdnzOol3GP8R17y+jRvW+MvCbLCy+8QEFBAWVlZed0/OVGCJ5AIEg5VMFL\nFHUxkjmjB6XZ/rIss3H9t9QerCfHcQ0VVRV0aNMBS7ONJe8v5YHHp/D5mi+o/74RWgLU19VD2+iy\nOp1OsrLDHRKMojTa7eoDMzc3l3se/iXNzc+wYeVfOLW9mH2nDqIEm5GcYJElHA4P4MHva0IJeqPO\nZ4RWaKqrq9m4cSMLi9+nsbGRtm3bIsvhXsROpxO/P0BtbS2K4iLUEqK2rpbGhkYcDidHjx6loqIC\np9MZEdz8/HyysrIYPXo0LpcrcdQtzkdnk5IzEze90Ma7F8nKnSzLhlE7m82G3W6PelUXrRTGi+AZ\nRSrNyqP9O9eeR5+eVZstJIoeqos2qqr2qDU6Ri3b+UTxQqEQG6v+hoyDYcp9Mdepb6hnh/dj7O0U\nPj/8lqHgKYrC4u9e4kjVfdx984NnXYYDBw4wb948Vq9eTXFx8TnX5XIiBE8gEKQc2ggexKZqE0Xy\nkl38fj+b127FbrERUhTq6mvxB/zYrDYAmpubWfHeapxWN1gHsfnIadr07Yjv0Cd0cpwIPwgxj0oZ\nRUO0ry6XiyGjHqduyDi+2/Axp7YX03/ggwy9axzfrHid+r3hThY43LTvcn3UuePJzfbt2/l48SIq\njlfgdrk5evQHevXsSWNzY2u5QoBEbXUtNbW1pKenkZGZSf3pen449gO/enYO6enpFBWN4IEpD+By\nucjJyYnbPk6WLPTv24/hPynCYrHg9Xrxer1xv2ft96Z9b1RP/WeJZPdc5E6N3hmJnXbRR/GMomhm\nKVKjMpo1M9CeS+1goW9/p91Xe51E07xpRU/7fV6IKN7KDQsIdtlPKKSwbtNiflI4LurzZaWvY7v2\nJCBRk7vRMIr3xZYVNHXeRmlFE6NCU846ijdlyhTmz59Pdnb2WR13JSEETyAQpBzaRuBmadhEkbxk\nHuprl36K3e9Acko0NTbTJu0ajp08Ruf8jtw75R4+fGsRdp+zNckJVp+DAz84eeTpD/h21Zs07FtM\nOyVadhobGwn4miMzW6h10MtdY2MjG1e+QcO+j2l388+5a8LPaBr1OH5fc0T8agePZc/Gj6nfu5h2\naelJRb/U+lptVtxuDxkZ4SkxSjdvon37trQEfIRC0NzUhN1hx2YPi0pWViaZmRkcO1ZBdXU1njQP\n32z4mi1lmxk0eDDjx02Iid6FZ0mwMKDfAEaNGo3NZiMQCLSmhuOPAWcmckafx/vM6BxmYqf/W0hG\n7hwOR4zgqZ8ZtcNT0YuWkUiZ/W2q27Xn0kfv9KnheNdVF7MonjYaer5RvFAoRGn1+1iyJCxIfP3D\ne9yljI2cPxK9a31vT4uN4imKwtcV72DPkwh22c/KDQvOKoo3b948CgsLueuuu6ipqTnrOlwpCMET\nCAQph/pwAqJG5jd7aButGz3I9UsoFAqnE2Ww2a34vQFaQi0MKhqI0+lk9/Y92BUXgZCfluA28nL3\ns+vb3rj+YTp3jJtJU9Oj+L1NKIpCY2Mj365+k6bypVwz+BkKb7s7RkTqqqrYvHIl+7euRanaSq6t\nDiQo51tu6DmUrDZhKVz34Z8i4jds/M84deoBGk+HewFqH8RGotPc3ExjY33kvfpQdzqdnK6rp7b6\nBDm57XG6XKSnp2G1nnmMSJKEx+NpXYfTp+vwO52s/+pLNm7cSOHAQUyYMCEyG0ifPn0oLCzE4XBE\n5EMf/VFfL+SijTwZiaKZ2Kmv+jHuVFHTpl/tdnuU3KnrDocj8rm2s0W8tKo2mqZFPcZsEGVVsvSC\n5/f7DdPCZmIXb2YQM2E+1w4XavTO0vqPIm+nHVFRPG30TkUfxftiywrq22/FjoTFJlFa/f5ZRfFK\nSkooLi5mwYIFkW25ubls2rSJbt26nVV9LidC8AQCQcqhbx8UL9WWzLrZMvQng1lyaDmuoAeb3c7x\n0xXk9+nGzXcOpaWlha7XdWHn2mJ6dTzBTR2bUFCo9XWMPCSdTiehUIhPP3qZpv1L6eQ8QY5TwseZ\nSIpaj6qqKhb84RnavLWCW7xKJCoIsK9jMYEnnmHtB3+kYd/HdHScINMp0ejzsW7Rn2jYt5j2Q/+B\na/OuMxW7pqYmNq56g6b9S6nwDAcFFI0op3lcWGUFa9BOenYWoZBCTXUNNbU1pKeHo3yKokBIAfnM\nALzhaeICoCgEg4EoOcjOzo6aAzWRDFwowVPLZtTmMdnInVGnCq3cqTKnFTt9NE+fptV+L4nkSv93\nbDbGo/Zc+uid9n5oRdBsSjizdnn66J3+niYredronYrNIUdF8VxyFj1rZsQc67M1R8qgRu9UzjaK\nN3/+fF599VUAysvLGThwIAcPHiQjIyOp468UhOAJBIKUQyt4knRmCib1faLoTrKL0+nk+kHdKf/i\nMJIkMWBEXwYU9qe+vp6tn71H++al3Fh48P+x9+ZxVpR3/u/7qTp77wvNvjSgCIpCAwouqOyi4AIN\nJkaTmKAmmfnd+3rdUTJ3XvfeyW9+M4nJL7P8ZvkpZjJJdGIU0FFEDJsICCi74C4NyL713n3289w/\nTtfhOU9XnT6NrKY+L+p19qqnqk5T7/P5Lg+GMEk7DpIJd6ThLxwOdzh2y+kXOEF58GxbEjoutEKk\nQ7Hb1zxP4yevUdZex6mhXuSeqHJRTVE3qBzPv3+Tvh1gF4ml2He0Dc/Jp7m6R4TSgKA9Hqex4Qyl\nZRVZ7ooKdn07xnEsMwzrYp4i0tZCqTjFzX0jfCJNEokUpsekoqKcpqYWTp44RXlFGe3hdgoLCzMX\n/+bmFnweLzNm3EVt7byMe5drUXW+nTvr+2Gt225buVw7O+fODu50yFMXPRdPD5fqDpoFWzrg2UGn\n1V9Pz62z8u8s984u9647c/uqkKf/zVnqrnt39MQhBoVuwjwzIev5eCDBqTMnqKrsxb0Tv51zHWu2\nLONY/EM8X2bjzdpDLzJj/HzbHze6rJlVAKqrqxFCXHFwBy7guXLl6msop8nR84WAXOFa/T3Db7iG\nAx8dxDRNpt09FY/HQzwe7xiDQSAYIBJO55QFQwGSHk+mXYWUEmwugslUKg12q58nvH85/QInKS8S\nUFRCU2WQvV+2cG1TM6ZIsq/UR+G4a4ADRGJJ6o614yWS7n/nawL8RCNt7H7j7/D5/j/G3joTIQTt\n7e2899Z/0PbFMiqMo/gAITouCVLi8/np1bM3p+tPI0hRVlaCIUp4q+44ffrGKSouprWtjWAwQGFh\nIQ31DcRjCX74gx+xeOniDNjNnnVvptAin+T99Obzm7khn3Op3rfAtiv3zgnonZw7J8Czgzs7yLMD\nLicnzQ7w7GbNsAM8a15m63X1eNsBpX6r5uKp+Xi6O6qqO5DXr/dAHu7947zfb6c7xs3k1sQ029fy\ngTtdpaWlWT8QryS5gOfKlasLIiHEk6Qz1PT/VaWU8n9eyG2rSfwdY8k4eecKd3bvsTT69lH4fF6i\n0SipVAqv18uYyQ8Ti81nz/qX+HLTbxjeM4zP56Utmc6D8nq9jJ/xKO3tD7Jr3X8SqVtB/+DJtLPW\ncVGVyE4tQ0oKfRy66y68r/+ReDTM8RE9GHPbbEaMuYN331hE06HfUOmJICUkYlGSsTZMkaLSB9FI\nlKbGekpKyxFCEI/H2X/oGG2+eoS3gKv7pi8JQwYP4qHv/hlr1qxhxR+X4/V603mCrc0gTFJS0tLS\nQjQcoaSkGJ/PR3l5ep0rVrxJPBpj4m0TeeThb1NRUdGlY5fLwVPPX3fcV/05C0ys74ee6+cEd3Zz\nyuozVOi5d06AFwgEsh7r7VIsV1UHPBWwcgGeXU5fNBpFSpmBSav3nfr91eFOXXTAczpfTqHac4Gq\nryLrGLhyAc+VK1cXTk3AM8Dj53vFQoinpZQLnV63HDzLZdCravXbfNwfOwC0VFpegt/vJxKJZC6I\n1oW2ZvK3KOk/gf27llPQsoWSeCIz9yeAz+fjxmnfpb19Ph+88wdiB1ZQkkzi8/kYP+NRwuFvsOud\n3xOtW0G/DgAccNcUDu34ECEE9y9aitdjEAqFmDrv/2TMlEd46Z+e4NDnG+lbFmZwDwMpBV+eaCf1\nzs/xB/xcO+ZONix7hjO7fsfYXg1Iw8/uU6VIGUuHo4oKCQaDFBYWZuDOY3oZNHAozS3ttLW14/GY\nBIIBkokkCSORuagGCwq4beLtVFVV8T/+9m8YO3Yc986+N6uCVl3UpP6uQM/pfOnnxQnW1bwxFUjs\n4E7NZ1OrXe2mH9ObGDu5d4FAIAvy9BCtNZ5wezupZJxAsKATbNkBnj4mNeS7YWcdAJNuHNZpejLr\nb0VfdLjTAc8pH0/927PU3TCtq/MnF/BcuXJ1QSSlXCSEqJVSPnc+1yuEeAyYAzgCnu7gKZ/NmsbM\nus3lAtnBg7odO8dFn45qQPUABg35EZHI90jEo8Tj8awxQBr0xk59hEhkHvFYODONlN/vZ/z0R4lE\nvsnud14kUvcmlX4fqQceQAhBRUVFxvmB9GwXI2ruoCnYSGHiEBs/b6EyFKd3saRvqIE9m5fx+fK/\nYlDRGcpKOi6+Xj8jZ/6YppZjmdYt6f1LYRomY8fcyL333sv777/PkWOHMQwDr9fLyZMnM338DMPk\nphvHc/996XYoa99eSzKVYMuWTWzd9j5ja8Zyzz2zCAaDnUKO9fX1eDyezFy03cnDyxVOVxf1O6E7\nTHqund2ink+nKchyAZ4Kd4FAIOPyqUAWi0b5cs8fKWjeQnvVLEquHkMikcjp4DmN0TRNotEoH50A\nJEwi3VS7q1BwLvfOCfDUvwdrXHbz1bq6uHIBz5UrVxdMUsqpF2Cdi4QQc7t4T+a+nXun3s83/JcP\n4FmJ7HoLDNU18QdCRKPRrHWp99OwUJwBPOuC6ff7GT8jDXqpRAz/6IkIITKOibUEAgFunPZdNkSj\nnNj5OyYMbSOZMEmkIJGIcuyzNQwtb8cUoEbPAwE/NZPSrVvi0TBSSq6//gZuvPGmzLRjLS0tGMLA\nY3owDZNhVw+nobE+A3ahUOjsRV8C8ixUb3l/M1u3b2X0qBruufse/H5/Bho+2PMBq1ev4tprr2PS\nnZPweDx5uXi5XFYnwFNh2Mm5U0HObl7ZXPPMOoVoLcCzIE+tok3E4xzY9SbBhk1cX9yIKBV81AGL\nhmHkBXjqeKzv2+otHxPz9wHg3V37mXbLdY6AZxeidaqm7Spc65QD6+riygU8V65cfe2kg4F1IVOB\nSnXycrlC6mN1fXbOndWGIh6Pd2pkq7ev0Ldhtz07aPH7/RjBoG1uGUB9fbrfnd/np6i8J36fJB4L\n40lESGFQVlZG/94BvjjWjocIgyo76ns7DlkwGMyEU0tLS4GzkPzFF19w4uQJBg0czFNPPoVpmllT\nklnvyxyfs0fMOnBAZ6hASiSSPXt3s2fvBwy7+hpuu/W2rHCqeq7085YL7kzT7AR3emGAmmfXXajL\nlYfnFJq1AE+mUuzfsZxA4yauLWpAlAik1RS7o6+eep6dAM/OXYxGo+w+HMfwpdf3wZEkU6XE7/dn\nzopT3p1THp6dm2e36D+EXF0aXVTAE0LUANVA+fkO27hy5cqVKt3Fcwob5QN4+sXKybmLx+P4/X5i\nsZjtpPJ2DZOdwox2zpKa0C6lpKGhgWAwSEFBQeZ9u3btYvmKNxg35kamfud5Pnp3MS2fv06f0HEA\nrr/7L4m1HKVYvk6FOMoXx9oxQ8VU2yTN68exurqa/Qf3EYtH+NnTf0dNzVjunX1v5rjW19dngC/9\nXHp9pmFSUzOGu+6aSSAQsHGO0uCXBjD45NOP+PjjjxhcPYQbb7yxk0PkBHlOi2mamffbuXd2LpgT\nyDm9lgvw9AILy71LJZOYHhMhjHRnaCHSeCclRseYrLGqUNXV2E3T5M31u4l4e2X6JUZ8vVi39XPu\nmnh91t+F7tLpYJermlf9G9Bh3Fq/q0uni+3g/VhKOU8I8aQQYrSUcudF3r4rV64usoQQC8jOl5NS\nyqsu5DbtQnt2xRaWk+cUhu1OWNYCvFgs1mm+UbtwrVqhmct9UuFOv929excrV62kpqaGWffMprCw\nEEm6JcaW9zaxdfv7nUCvl8/HLff9kLa2b7N15W8pTr1O8Q0LGDpiXCfA0x9bTh1AMpXk/a1b2L5j\nGzWjapg9+1527d7FmyuWUzN6DKUlJRjCyICdlXtntYfp5OJBh9F31u2TZOd7qcoFdipQq+dcD9U6\nAZJ67pwAT4c7NUSbq9BCDc16gkFG3jafaPQ+vti+DM+p9QwqrE+PrcNZdPoe6vuqji0Wi7HzYATD\nV5p1vHYejDCto4DH7hx0FZLNtbgu3uWniwZ4HTkzWwGklL+4WNt15crVJdfjwBgpZdPF2qAFbUAm\nBKe7DGruWq7CC0s6+KhuhwV4KuSpjo4OePqiwpx60U6lUhmYs8ZuXfTTY5CkZJJt27ayY+cOxowe\nS1lZKR3Jb1mgN3bMOKZ/9wVMI/3ZYDDIxHufoK3tYWKRdopLyx1DbtaSTCWz27Z0zKNrQWUqmSKV\nSrJ123vIlOT6kaOYPn1GZioyJ6hIh2khJVNIKbh66NXcfPMtGIZBNBolEol0gjz9XNlBcVfh2Vxw\nZ3f+nEKzXbVKyTVFmRDp6d2un/gg7e2z+WLb63hOrofys/ul7zNkA57+IyKZgtnjemKYSrWsTCGT\nPUlJQdDnU75D9oBn5+rlC3jW34BTDuWVoEWLFrFw4UKampqYMmUKzz77LNXV1Zd6WN3SxXTwxgII\nIUYDU1zIc+XqT0bbzifcdfxYHCuE+L6U8ld277EuimoyuXWbK2ykQoP+nCU9904P0eqzFKggYFfp\nqOZ9qWCnwp0KdtYY0q917ItIh8O2bnuP9vZ2mpubqexRmW5xQuYtWfl11nqCwWBmyjTdnewEeakU\nEqsthofRN4zirrvuysw/m0olO3L5BMKAD/buYu+Hexg58npmTJ+R2Y6+JJIJUinJsGHDue3W2/B6\nvZlcRjuIUM9NLrizijXSY3MuUHCCNCcnT3/ODgr1KcmynDuPJ8txtM5FKBTiulvn0d5+D7FouFMI\nWh+/U9VvRXkpEyeUZwBS/e5bDY/V77KeS+oEel0BnvUjyufzZX2PE4mE499cd7Xk777LgObNWc9J\noP6aR7nrO0+dl23U1dXxxBNPsGbNGsaMGcNTTz3FwoULs+amvRJ0sUO0p6WUO4UQU4QQc6SUSy/y\n9l25cnXxVSGE2Aas7ngspZR/ea4rk1IuAZbk+d6sC5x6sbdkB3P6rZ17p8NdVw6eU6jPKUneDrDU\n/QJIJlVYlVbhKnS4VYZhMqZmLLNnzaagoCArB80uFKvumwp51vFKJJMIaXD99SOZMf2uTHWtBQyJ\nRBK0zswWGFpgYQcFQ4cM5Zph1+D3+zPHU73NBXd2uYoqKFvupwp4uvtlB2dOkOcEd+p99XNOoXq9\ncEc9J1YbFdVl1r+X+r7aQa4KkNb33i7dIB+Ac8rTcwJAp/zVXDr65X62/dN8eoeygfBIu49bnnqV\nHj17c8PMBYReW0O57+x7Po71ZeLcHwJQt3crjV9s6bTu1hjcVvtneY2nvLwcSM9iUVxcjJSSioqK\nvPfjctHFBLwzwP6O+43AOKAT4P31X/915v4dd9zBHXfccRGG5sqVK4B169axbt26873aZ7XHFzxu\no4fl9PvWe5zcPDsnz/qM7nboYVq7C3tXLpC1DqupsF3OmT4eK/FeduStGcJk9KhRlJaW8s76d6ip\nqeGeu2dRWFiYea/dxU137HKF364Zdg3Xj7yeYDAInAU7S+kw7Fmwvm7ESKZMmZoprNABz1p3QUEB\nqVSKeDyedTztmuzqkKfnMFrQZp1bKwSvhmed3DvdcbMDNbtza+fk6edbhzEVfpzOt9N5t8s91MP9\ndoCnFw+p27aD/Fywl0+/PPUHVj7qM6CaHleP57r67N9vyepv0aNnbwCuGnUzmzdMprz1j5nxx4Y/\nSEFhIQChkgqSO/+FfoGWrHXsLrsv77GUlpbyzDPPMGbMGADKyso4c+ZM3vtxuSgvwBNC/Ax4Rkp5\n4Ctsawlg9a4qBd63e5MKeK5cubq40n9U/eQnP/nK65RSru76XRdG1gXG7uJphZN0N0+fdzLXxU+F\nEZ/PlxPwrLCjdd8COutWBxi7gg99bKlU+vH1193AjBl3UVhYSHNzMzfffEumslYvImlsbMTv92f1\nrHMK0+lLQUFBBtTsjqn1/LXDr2XSpMkZsLPysezcO/WxCgsq4OmzOOjHx86983g8mfep4U273DW7\nsKq+dAV5Ti6tU5sc9fvl9N1Vpbt3dmCnO3fq9sLhdG9Dv9/fJejbOXf6jxm7c5RMJjPb7ApandR/\n8hMcff5N+gTaATgcKWLglCey3lN52wLqO1y8T+L9GDnz7GQ5vfoP5uCge+l3/IXMcyeifnrfmb2O\nXKqrq+PHP/4xO3bsYNSoUTzxxBPMmzfvaxui3QYsEkKUkwY927yXXJJS7hdCNAoh5pBuk+Lm4Lly\n9ScgIcRkYHHHQwnUSinXXqzt5wt5Xf267wrw9FCtFa71er1Z7p5daMuSDiyqQ6WHvYQQXHPNcEaN\nGk1hYWEG5oqKirJCkqpr09TUyNat21j79mpqRo/l7rvvzuTkOV3Undw865ioGjp0KMOHD884fBbY\n2TmETvfVvK1EImG73Vxgp+beqW6d9VgvrnCCO6s4Ihfo2RVe2OVUqufTWuxyA9XvmXp87YornApz\n7F4XQvBfq7cC8M3Zt3fbxdMhTv0+JxLpaeqsadAsyNPDy/mq39ARbO4zkz4dLt6Zgfdy1YDBWe+x\nXLyylrey3DtLA6c8weFfvZZx8Y71nMGEYdeTr5YsWcL8+fMZNWoUAM8880yWE3qlKC/As3JehBAl\nwGIhxCLSYZenu+PqybO979zcO1eu/nT0NFAtpWwSQgwGXqaj6OpCSQ8N6bl4quycPH1duZwuuwuf\nE9DZzUgAnYElmUxmoEQdn14FbMGcGoJUF+v91kV+585d/OGlFykoDPH+ti1s37mN0TeMzvSnU/fJ\n7r4KanYgYjl21gT36vFTQU5fj91r+bh3OsyouYtwFobUz9qFZ51mn7CrgnXKq7OrklbB7ujhoyAE\n/fr3zRwX/TvnBM7qPtvtt1MOovVcOBzm3Y/TDbDnTI8SCAQc4cvu+Os/YOLxeKfvuh3kfVUXL4XZ\nyb2zVHnbAja/9CHjZ3ae6lp18Y5H/PSZ9INubV//QdjY2Ni9HbhMlG+IdjJQC0whnSg9FignHGcu\nYgAAIABJREFUHXa9oP9Ru3Ll6opXveyoopVS1gkh6i/GRu3yf5zcvK7gTr3flbuRKwFdByP1gm1d\nGHO93w7i1DHp41b3N30sJCmZypptY+v2dIsVq9LV5/PlnM3ADvJ0MHEarx3U6Z/Xw7X5uHcej4dk\nMtkp90517/TnVPfNbuYJO9CzAzzdsbPWr7qvQgg2r3wPgWD+47WZ/dRdNLtbNTSrrrMr905dXln5\nHq1GDwD+a/VWHrr3DtviDfUcqN9v3ZVWvz9W6oHdGKwfJd2V5eIJb6CTe2fpqlE3E0/8Qyf3zpLl\n4p3uNalb7h3A3LlzGTNmDLW1tYwZM4aFCxdSW1vb7f241Mo3RFsLLJZSZqF0R26eK1euXOVSkxDi\nL4CdQA3pIquLIt25U2EnH8izC53lk6Okw4mdA6VeCC1AcQI7p3GpY9LDsnaAl111S6biN5lIEY/F\nHJ2bfIDVDkT1MTq9326f9OOmw7AKdnaJ/Wrune7o6eFZFeLUacXUeWPVEK3q2lmFJoFAICskquba\nvf/uVmIn0vmS27fsYMz4GlsHTT/f6rlzKq5Ql1gsRjKZzITsDcMgEomw4aN6hFEJwIYPT1N7V4xA\nINCp2MMag92PFzvAi8fjjg6m6uKdiwZO+xGm15fzPSPG3uL4Wq/+g9lVNYvhkx7p9rarq6t57rnn\nePzxx6mrq6O2tpbnnrvyJt/KF/BWSSnXWA+EEA9IKV+R6dCtK1euXDlKSlkrhHiS9A/FfVLKeRd5\n+3lDnl3YzHrezo2yAz07sLODO7WVh1MrEOv9TnlM6vstR0jNf+q8v9kuX0tLK4ZhcvtttzNz5t2Z\nMFtXyfROeXn5OI25wNXJzVKPmx6OdXJGrdC16ujZ5d/ZzRlrN3esXWjWNE1WbPgA0zSZN/OWTrl2\nAJFIhD0bPsTnSecl7tnwESNrrsPr9TqeU2u8XcGd7pi9vmY7hmnw8P2TMu9f+scttBkVWF+hVqOC\npX/cwiMPTO6Ui6eeOxXwrB8CdrO0qE6mnYPX3Rw8S32qh53T51RNfeLprP6R3dGcOXOYM2fOVx7D\npVROwOsoiJgPTBFCzFdeqgFeuZADc+XK1ZUtIcSTUspfKE5/I+meeD+VX6EP3rkoX8izy8frClzy\ncbTs3CfdgbIDQbuLu90FWZUONJ0cPClpbm7BMEzuvP1O7rlnFn6/P2fRSFduXj5Apx9Ha4x2+2o9\npzpvUp6doi0XMKpwZ9cexXJM1eIKHe6s5s/69GK6exeLxdi+PwxCMDeVyspts/Zj+ctv4osGECJd\nYeSLBVj7xtvMeGC67XlU91s9Fl0VV0SjUTZ/1ohAUHtXhMLCQsLhMOv3nkaYlVnHZ/3e08ye1Egw\nGMTny3bJdLhLJBIZuItGo3m1gdHD05dK5wp3Xxd15eCtJh1WeYp0orSli5JD48qVqytadR2327gI\nve+6kg55lnJBnhXuVNdhB3f5gJ0eWuwqHKtDj9Oijk29VV+3nJRkMkFRUREjr7ueu+++J1MU4dQK\nQ1900MvlWOYCO30f1bCmXm1q52TpIKiDsGmaWRW46vt0987n89nCnR3g6TDz2uqttHuqAHhj3c5O\nuW1SSoRhpKcRIX0jAUFn8Mn12C4ca+fetZnpPLtXV73Pt+dMIR5P8NCUoRjC6Nim9V0p5+XlG/F4\nPcyZPiFzHKwxq7l3FgBHo1HbKmK7og71fDrlt7q68OoK8B7r+AXeRHo+SUsSuKi/wF25cnVlSZ6d\nqWYV6aKseuAxzrZMuRRj6tI1gc7hTidYURP4czlwufLGnCpEu8q3UgFH3x/9vrW+q68exkilUbE6\nP6wFerkATwW9rnLydFfSDu5UELDcFhWQ1P20jrfaa02HCR2kLQfPkp5/Zxea1QHPgpoTx07i8XgY\nWD0A0zSJxWJs+bwZowPw3v24gXkz45nZPawx3117F4s+/Xe8MT9IiPsjTLn3/qzjoEt9LldotpN7\n56kCBOv3nmL+3RHKy8uYdvv4ThDc3t7OC2u+4NDB/by/6zNGjRjEvJm3UlxcnIG7rmbl0CuGc0Ge\nq0ujrgDP+gVuNSW2vnWX/Ne4K1eurhg9R7qt0kLS/6csJj2TzSWRHv5ygjw4C3p2F2ELXiwwsQMq\nNSRotZKwAyKnzzuBnt2Y9PXo6wMyc8aqM1DoYeauWr/okOeUj2c5N7ncSWt/rOes+7pDpZ6rVCqV\n1ZJDryI1TTOT/K/m4KnrVeElX/duy6r3EMLgqv9jKKZpsuStzbSZVYiOy2KrUckrK9/j23OmcHD/\nQQAGDBpAQUEB46aOYetrOwEYfccNBINBEomErWunP2cHrvr911Zvo83skTWWxSs28ei86bbh0heX\nrac+XkBzws+eoyn2HtjOzg/r+If/57GsimSnVjD5OHd2LrOri6ucgKf8Ap8P/J2UcteFH5IrV66+\nZiqVUq4RQiyUUj4hhLioRRZOsgvZ2kGeJR1Y7N5nXdCsi7d1AVThzsn1stTW1oZhGASDwS7dO3Vf\n9LE5OWf65/RwcyqV6hSO7Qrw1DzCXI6nnTOnH3Pd8bQAQh2zNSY7yFCPeVeA11VxxakTp/B6fZw8\ndoLIsQRCwNZ3t1EzfjTvftyA6AiJCtGR2/bhGW6+9nNefWEZpSWlPP7U9wC4ddItfLT9E0AyfuJN\nJBLZc63qIWf9WNhBnrXP2e6dtZ+Cd/ae5huzwpk5iFX3bvWOI5w5fIJA2SCklIQb4IPDCX67ZBWP\nPXRPpzxRPTRtFyJ24e7yU75VtIuA/1ukm5T+AVgkpWy+cMNy5crV10hCCPFTYIcQYjTpqQovCznl\n5emvq+HaXBct3ZmyIMRyRbrqcwdw6NAhPvviUwZXD+b2iXdk2lk4AZ6dc5dvDpwT4Dn1wMvVBDlX\nLp5+fCznU+2TZhfKVqFC/ay1ba/XSywW61T4YLUvUcHT+rza/07veafPWvHeqq3Ek0mS7Qn83iAg\n2PH2bq667moemjQEYXbADIKTx08CxfzmX39P67EWzN4e3l23iZtvn4AQgqlzJpNMZE81Z/f90W+d\n3LuMW5lIMn/iIAxP2rk0hYk/6EdQTjQWp7Aw2w3+7dLVHDhymkg8RYFhEj5zkFDlIJCS3/9xF4/M\nmZI57k65f7q72tXi6tIo35ksVpMuuEAI8SzQAPxpl6e4cuUqXz0OzCH9Q3Ee6XYpl410yFMdJfW+\nnpenS4j0XLHqRdmphYpTaxFLXq+HQ4e/5PkXfsuwq4czadIkioqKHC+a+rhVYHPajh0QOgFeLoBT\nn8sX8AzDcHxeb0KsQp4ltQjAgjo9F8wK41rjsrahO3hO05Ht2rqb6IkEh08cpm9lPwikA6CesJct\nazYz/7vzEEKkw7FC8MWmXRw7chxvs5fyUAUHjx+kZUkzNTeNxufzMXDQgMyY84WhXMUV1m1FeRmT\nJ96IaZo8/+pahBA8On2ibSi/vb2dl9d+QnPDGYoH3IBMJTFML4bhQaaSJDwl/HbJKr7/jZm27qEd\n0OWCPOvcuro0yncmi9Gkw7RzSYPe9As5KFd/Okomk+zbt4/W1tZLPZQ/CRUWFjJkyJCL2j5ASlkH\nWHNPX5bdQnNBni69lYoQ2fPE2jlhOtzZLXYwZJgGn+/7jM/3fc6Ia0Ywbdo04vE4fr+fUChkC6J2\nhQ5OwGXn9Nk5ck6AaAenTu6hul9Z+6g5Q2qFqwViqotnbUMFPLtkf2s6LTVMqwKk0xyzltu6d+Mn\nBDxBTNMgHovj9/s6YrHZOZIrXvojhw8foShZQqIxRXN7M1UlPQm3h6k/Bm+8vJwHvnU/XUmHMafw\nrFN41GqJghB8Y1aYwsLCTsDV0NjEiS8/xVtWjSEM2usPEaqszmwzWDGQF1fu5qH77uyWO+cEqOcb\n7lKpFCdPnnR8vaqq6rwWdUydOpVFixZRXX32GDU2NlJbW8uaNWuoqalh8eLFWa9fTso3RPs08KyU\n8scXcjCu/vR04sQJhg376g0tXeWvI0eO0KdPn4u2PSHEAtIFFpaklPKqizaAPOUEeXawpztlcPYi\n5wRwTqDXCcAcatisPK+PP/6Id9av49prr2PqlGmZ3mv6+HRnLR9Yc3q/tX/67bm6NHooW4c7vYJT\nDRla47UDPDsgsiqFpZSdqmid5pZd/fpa/PF077o+Pfpy9MQRPF4PwVCAZDDBvd+YjWEYbFizkTN1\nDTSfbMFbEsDvCSBlE0frj9C3vB+pVJL9+w7Yfm+cjot6fPSwtVNOpmEYLHlrM61GBQAvv/lupsDC\nWiKRCC+8sgpCVcTbmzj9+WYCpVXIZAwpDGuApPyV/G7pGr5TOzXnGHOd23NVLoCrqqri5MmT7Ht/\nJBXlnSHuTH0KbtxDr169znn7llavXs3ixYtZs2ZNp/0ZM2YMP/jBD1i6dClPPfUUjz/+OCtXrvzK\n27wQ6qrR8ZNSyl+Q7oU3TghhVb5JeZEblbr6emvojCfxBkou9TC+1opHmvjirV90/cbzr8eBMbJj\nPtrLWflCXq58t1xwZwd5nfLyUimQHZAmUwy7+homTZpMcXExHo8nPT4Bez/cw4cffciI4dcyedJk\n/H5/p33Rt+HkrDntD3SGDSt/Lhcs2oWx7aDODu70HnU+n88W8FKpFC0tLYQjMQpC2Q2G9W2pEG5V\nNedq+WFYF3UBXk+6D1w8GcOTMLllxk2EQiEikQibVmzh5JmTVBZVkUwkMYRBZVEP9p34nN5lfUjK\nJCKcdtfUPnPqrVNI087Bs0LRPp/P1r1LNzQWvP3BSb4xK4xhpKcqC4VC/Mfilfz2tU2YxX0pqKwm\nlYjTdHg3kYZjhKoGg0zRfuoApT0H8O7Hp5kfDts6sE5wej7kBHAWvAFUlBv07OEcgegKEvNx+Hbu\n3GkLqjt27EAIwV/8xV8A8Mwzz3DgwIEu13ep5LZJcXVZKFQ+AF9B2aUextdasbaGS7XpbVcC3FnK\nBXnqe6xbFewsAMoVinXKbTv7XIpYPE71oMHcPvF2SktL8fl8tiFckHz40R4+/Ggvw4cN5847J+H1\nejs5jHa36n7o+2Wt3ylnTn9PMpldPGDXIsUO8NTiCBXuVAfPAjwLboVIV4K+svI9Nn3SyKxxVdw0\nenjWPujbVQstLMBTwVJ3yKbeN4Xn97+IPxYAoLJ/JaGSIB6Ph9sm3wrAr//5N7Sdak9vE4khDJKp\n9HEo8BeSTCUJFATwxry8sXgF939ztuN3Lt/8u9fXbsc0DL51/6SsnLjFKzbRalRk2qS0UM4f3tgA\nwPu7P2X0iGpeXLUXGazE9AQQwsDjD+Ev6gFSEirtgzC9GMJDKUf4zoy7aA9HCPh9nfIr8/mRoJ+L\n7qgrgOtKXUFiPg7fk08+CcDLL7+c9fy2bduoqanhiSeeYPXq1dTU1FzWc9Tm2yYl675IT2HmypUr\nV/moQgixjY5CLa6ACIAd5Fn3LVng5wR5OujlqkpV24706dOH4cOHU1ZWhs/ns7m42o/ZLkxr3doV\nQuTKjbMeqxWuFsh1lZNl7ZvlnOmAZ9eCwwnu1MemadLQ0MArK99ne10brWYl0lNFS2srbe0RQkG/\nY3hZbXjcVahTCMHpU6cZcG0fDm89AUIwftpYBg0emJV/d+CTg7Q1ttO3Vz8OHzlMVUlPAI41HKFn\naW8MU+DvACT1nHQVnlWPldp6JBqNsuWzZoSAuZFIpugmEomw/sMziI7wrPX51TuPEY+0c6Q+wWdf\n7qShHeJtZyjqeTUylcwsoYqB6fg/EKzox4kvT3LdsIEUFBQQDoe7zBl1Ar8L6fR1pa8KiU5qbGxk\nyZIlLFq0iIULF/L0009TW1t7xYZoc81Fu9T+U65cuXKVpWe1x1dEBMDOtbN7bOdk2EGVE+zpveYK\nCgoyszCoRQLqhTWzfQTXjhjJlMlT8Pl8mXWqY7Ebk50baO2P6iap4VY13JkLkNQiFDvAsxw0Fe6c\n8uGs+83NzfyP//0KHx2HkqpqvN5K2tsjRONJ/nPlR5QWF3Pj6OGdesRZrVh0R8+uIlQd47rXN2Ka\ngoJ+QQxDcNukWzOf2V93gB2bd1DmqcAT8nP8xLE0aMXCGKZJON7OqbaTDO03FIBEMM7MOdNtw9nq\nNlXpcGcYBsvWpqciE+LsVGSGYRCNxfnW5KGYRseUaB3rW7XhIBsONWMUD6Cx/jCGNx0pMQwDYXpJ\nJWJ4fCEMw0QYng7GM/AUVfGTf36Znz317U4pBE7V4Lkg71KC3vlWWVkZU6dO5fvf/z4ATz/9NGVl\nl2/kyZ2L1pUrVxdUMt1m6YqWDnd2z9td2LoKz+YzW4RVSJBxxWQKKeHaESOZNnVa1nyyTmPXb3OF\nW+0gTwWlVCqVAVB1n1QXUp0mTM3Fs2All3OnPhePx3ll5Xu888FJjpyCJB5a28NIYYKUIAzwVyBM\n+zYe6n45gYYO5+9v3ErkWBQhBAMn9GPMTaOz3vPa86+z/8ODDOgxkMLCQhpa6ikOlnCy5QRBf5Ch\n/a8iXhwjFZOkEnFumjo2M3NFLunjVaE5Eomw+fNmhFmFELDxozPMvztCYWEhFeVlTLtjfNa+h8Nh\nfv3GHqQZItxwmJRMESzpQ7TlJKc/20hhj4G01x8Gw0N741GCxVUIw8IByScnU5w6dYpgMJj1/XRK\nL3Aq5LkQgHem3n5u2zP1qQveYHPw4MFZ+1NScnnnjec7F20j7ly0rly5OgeJdJulxaT7Z74M7JNS\nvnJpR3XuUp2gXO/JBXv5QF48Hicej+P1erPAadjVwxh1w6jMDAVdXUTzqXrUoUIHJD3ca7cfFtTp\nAGCNz87B04HOej6RSLB4xSbe+7yZVqMHYVkOhYWYyQQNX+4hUNITf2nvTFK4wLmhrg4adqFq6344\nHGbPhg8JeAoQwMEPDnHXvWe7gq1fs4HPduyjR2EV0VgMv89Hr/JefHbsU4b2STt2oaoQf/6Tv+DX\n//A7QHLzHRNsXVX92KvnSndFl63dTpvRA0Ok97bVqGTJW5t5dN50IpEIhmEQCoUyn//96+9w6GQz\nZkEviB3B4w3gCRRg+voDKXyhUgyPD2+ognDTMYzIKWbfMhjT9JJKJokl/DS1tOP1ejv92HCai/hi\nuHdVVVWZYgtdpZyttL1Qmjx5MrW1tSxdupTJkyezcOFCpk61rza+HJRvkcU2rpCwiitXri47PQeM\nJT0Dzi868vGuSMDrKjfP7qJmB0U6INmBnfrYKgRIJpMUFRVlqlhzyc7F0sOBdkChg56+LyoUOTmS\ndoBnbc8KnTq1KLH2LZlMcrq+mbA3hBQCYfowTR/+4ir8xT1pPvQB3mAJwYAXSdfOqQ5WdjmR76zY\ngC8eBEMCAk/Ey/LFK5j3nbm0t7ezecV76eOCIB6J4fN68QcD9K7uRTycoLigmAkzbiQQCDBz3rRM\n0YV6/PRjb3dfheFoNJpx79T3rO+Yiuzl5RsRhsH35s8AIBwOs2JzHbGExJtKEmutp2TADaSSiTQQ\nS2g6vIfyqycihEFB5SAMMYiyCg/fnjOFWCxGJBIhHA7T3t6e9T20c/GcKsTPFfLsHDrLnTMMI68i\niVzr6I7sfjSsWbOGBQsWUFtby9SpU1m8eHE313rxlG+RxSqgnHRo9jHSv8ZduXLlKi9JKRuV/yy/\n9ikeTm5Gd1w81cFT5121a0CrX0SdwM6CBru8OKeCAz1cC2Qu4LnCtCpYqeOz60WnVrLG43FWrN/N\n1ro2REEVzXU7MQJlFFQNPQukHh++wnJSiTjB4h7IZOfjqYe6rVCxtf9CiMxxtW6lFU6WIDM9I9Lj\nX/bSG5hhH32q+nL0+BF6FFURCUfwVXroX9SPuo8P0G9gH26bdCtSSgZUD3A8Bvr5UZ/Xz0ksnmDu\nrf3xGB6EKTCNjmnbjFIam5pZt/cUAsE3Z6fnnY3G4vQtThBMRrlmcJy1iR7g9yClJBGPYXp9+Ev7\nkgy34AkUpqFPGLyx5RAPTGvJHA/1O6j+4Mjl4jm5efnKyaGz3LmLtQ5LZ86c6fTc6NGj2bZtW7fW\nc6mUb6Pj50gnSi8k7eotBsbl/IQrV65cpbVdCPEMUCqE+BnQeKkHdK7K5bp0pXxAzy4Pz3Lw1Dw8\n1WmzG2MuqLMLEerNge0gT98X3ZFMJpNZc+7ahe/UbVkunt6mJJVKIQwjPS2Y10dReS8ikSgNdVvw\nFVaCka6OFBikmvbjryggkSzOghELSKz7OuDZ5QWapsmEKeNZ9us3CSbT4BP3R5n+wLT0+Dve7/P4\n8Af8xBIxTMOkqm859Z8006OgiqqBPbKOsVOuo37s9XOiHv+K8jIm31ppOxftb5asooV09ewf3tjA\n9x+8i4DfR32yBIpLePQbM7jps4MIBBLJqo072eHvT1s4SvvRDyip7AdWa+1kC/UNjZSXlXaCO7tj\n2x3Iy1f5OnQXeh1fF+ULeKVSyjVCiIVSyieEEPMu6KhcuXL1tZGU8nEhxGMdD/fJr8GMOE5A5xQK\n1UO4drCXC/TUYgur4MFuG3ZukNocWHf77Nw7HSJaGxvxBoOEQqGsbdmFnZ2S8O3y8PQ+dNb2/X4/\nD95zG3PicZa8tYllJ1pJ+EuoGDoBT7KdllN1tB7/lFS4ibtvHcG908ZjGGnnLxaLdVpUwLO2r4a4\n1WMQCAQYduNV7NtwECEEN0wbid+fbr9y99y7eObj5/BE/FSV9aTu+BcMHz6MhsNNeE0fXtPLvp37\nCd8Xxu/3dwl5duCcy1FVX7MKKdbtOYUQacBbu/s435zdzu9ff4dmytOu49pt/ODhdP+9trY2fvPH\njwkGfJimQUX//jx613B8Pi+JZJJEPJGVc2cHeXYOnh6e1fMaXV065Qt4QgjxU2BHR8L0hS5WceXK\n1ddEHf9nDO54OEYIUSOl/MGlHFN3lU++VD4uHjjPFeuUk6eHPq2CBrUliRPY6Q6Kng/n5N6pwHV8\nzx5Szz5L6u67GfbggwSDwZxOpH7fLg9Phzw99CylJBAI8O05U3nwnom89MYGXt/wEaGicoqG1pCI\nx5g+uIWa64dRXlZKNBolHA4TjUYzSyQSIRaLOc5Hq4eNreevq7mWg58cwjQNxt08NuOa+v1+bpo2\nji2vbKOttY1AiQ9fyEfihASRTlI32jy89uIy5n1nbl7fIz3E7gR4el6kEIKXlm+khfJMoUkL5Sz6\nzzfY8kUrwqwkHImx9J0DfHtOO6FQKA1+shwhBH6fD+kdyMnGMA/fPyEDx9ZxU3Pucrl2XUHehSi0\ncJW/8gW8x4E5wCJgHlB7wUbkypWrr5ueA35KOjSbnn7hCpCdu9LV41yL+h5Vdk5ergKGVCpFc2MD\nZw7uwWMYCMPINKqVqRQ9h44iVFiClLJTvp1dwYMd3KmA5/F66XfiBPLf/50vVqxA3nMPI775zYxL\nZY1Vb52i3trloNmFhNUxWkDm8/l4+IHJzJkxgfqGRtZt/ZRNnzRSUdGDqsoKIpFIZgmHw5n70Wg0\nAyfWsVXBUnWY1LGYpsm4STX4fD4SiUTW+2++YwJvL3uHMy1nGNB7IC1NzbS2RRAIigutlhn2cPPl\ngUPIVIq+A/pmFbeozqvq0OWCO9W9S8SjCAEer5/fLdtEafUECkKSaDyJ9PXkN0tW8e05U1i7+3jG\n7UtvC97Zc4r7p7bi9Xptf2Do4W6nHDwd7tRj6wLepVNegCelrAOsSSwv33k5XLlydTmqXinYuuLk\n5Lroj3VgUi/Wdp+zlE8xhu6MmB4vPT7+FaOKsltCfNDWE++I/+iUn6fDnfWcDnimadLW1IS/oCDT\ncNnTkQ8nhGDwsWPIRYv4+I03YNYsrvvWt/D5fBm4s0DICfB0p8oKl6oupAp3FpQBeDweKivKuW/K\nOCbf1EJLa3vGtdPhznLv1MpPNQdQ7dOnHgvrGFRWVWZ611nvNQyDtrY24rEEQX+AcKQdX4vJ6eaT\nGCmT4sISUqE4s+bfYws1a197GyQ8/OcPnc011Nw7sJ+iTP8eRWNxHpl6FcIwWL1xN4YhGHdtNX/7\nSQltra0IIUiRbnz8yvo6pt58nPkTB+EPpKFcJiUpUiQTRYQjUQzDyJkHalew4pR758Ld5aO8AE8I\nsYB0gYUlKaW86sIMyZUrV18zrRJCrORs2yV5uYdov6pbZ+e+dAV9luxCuPpjfyDAl72mIVueRxhn\nwai+30yGhkKZ0K063lzhWdW9O/bBB8T/9/9GzJ7NyIcfxvR4Mg6huj7r/e3NzZh+fyZXzdp2KpXK\nAJ+diwd0KhZxyt9SnUKrYbDf58mCOt29s8KziUQis76uAM8uN1B1GJe//CblZgUHYvuJxqIEIkHK\ngpWQgkMnvuSBJ2YRCAQ6nbd3122i7XAEgPc2vsdNt95k697lE6K1Ci+m33kz4XCY3638lGh7O0XB\nw0RaThJpOU0y6MEs7p8+xt4wr/5xE2XlFTw6/fbM+bBgzQrPdlXs4+QmOxVVuJB36dWdEO0YeQVN\nGO7KlavLRo+T/oFo/f9xxfyPnyvfLtcFWc8v0xc7V0ZXrsIMKSV9bprDB6+v5IbCtIu3t703/e+Z\nn5V/Z43bzr1zAjyPadL/2DHks8+yZ9kyjl1zDVUdnz3Qty/e++9nzCOPZHLx9m3cSNs//iNi9myG\nd4RuLcDLp6pSPwa6A6TCnQokaq6dulhwp+ffdRfw7OasTUnJsTPHKA2WI5EcOn2Qq/tfg0ylaEu1\nMPrG0Z32NRwOs331TrwePwA7137ADWNvIBAIOH6/9O1Go2mXzWpubS0vLltPC+Xs/2IvH38cwVuc\nDv8mhMRXUIXp9eEp8LN88x769Ivz4D3tmdC67hQ7FfvY5YDmgjs7yLtQCofDBIPBC7qNK1mda+zt\ntc2FO1euXJ2jdkgpl0opV3csay71gHIpl3t3rmCnzr3q5A6pwGc3Dl2BYJBTfc7OcVrffybBjtkM\n8h2L3WJ0OHZWSLbizTfZ29LCppoaRr78Mrf82Z9lmi2bponp8VB9/DgDn32Wjx58kF1i/elXAAAg\nAElEQVT/8R9ZrV3sFrviCujs1OnJ/1bzXWtpa2vLehwOhzOLDn36okKi0+t6FektUycQjUfweXyY\nwqQwUITpFfgDfnqX9mHZS8s7gc+KJW/hifoy580T9bHyv1bn/P7oz7385rssfvPdrO9ee3s7b+8+\nTrS9BfwlJPESqhxEqMcQwi31tDUcJYVBS1uEVllIfayA3y5ZSTgcdkwJUMGtqyKKXGBnncuvIrUw\nxk779+3nv//F3xKPx7/Sdpy0cOFCysvLMQyDadOmsX///sxrq1evZsyYMbavWbJetzu/YB+KN02T\n5ubm87YP+QJehRBimxDiZx3LT8/bCFy5cvV1V5kQYuWV8P+HDnPqfT2UZhc6s4MpdZYGO9CxA55c\nIV1V/cbPY097L/a292bALQ86hvRUsOsK9AxrPzu20cfnw3/11Qy+9VYKCws776cQmRw9C/Q+fPBB\ndv7615nWLnZgp8MdkBU+tKBKB7xckKeHaVWQ09un6EBnfUYHQrXdyro319O7rI/VOY6q4p4cPXUs\nsz92jljKAXSczpMOeZFIhPV7T/P2npOEw+Es965JlnH0i50Ey/oRLOuXOQ++wgpS8TZk00Eav9yJ\n30hCKsniNXv43dLVWQ6bXsnt5OrlcmTtnNmvqsXPL+XVF//L8fVlv19OoL2AV37v/J6N694lHA53\ne9urV69m6dKl7Nixg4aGBkpLS1m4MJ2l1tjYyLRp0/irv/orGhsbqampoba2c93p9u3baWxszHx+\n9erVmceWduzYQWNjY2ZpaGiguLi42+N1Ur4h2me1x1dMiMWVK1eXXD+71AM4V3UVonWCO3WWBrtF\nnYvVDrzsLvR22w+GQhzrOxPDEPRQ5iJVx61feK2+dla4T92GaZoYppkpdf6yb198c+Zw+/e+l9UH\nz1qvlBI68ucyEz9gXyWr5ubp7hGQBRqqe2QVSqhwlg+MqWFFu2IKNRTsFLLWj30ymcTr85JMpPAY\nJqmUxGoUHA/EmH7/1E4zV0y7bwq//vS3+GIBABL+GDMemGb7ndKh3nLvWjqqX196YwPf/8ZMwuEw\nb+8+TmODBH8J4YYjFPa8CkghUwkKegyh/vN3KOs1hMLiAaRaDiEMk1ZZxH9tOsg3Zrfj8/lscz2d\niiYuZgj28KHDfLjxEwwDbp18Cz179cx6/Z3V6zn9eQNej48PN37CkclH6Nuvb9Z7mpuaWf3yWg58\neoBvPf5Qt7Y/ZMgQlixZwqBBg2hsbKS6ujrjrFnu3QMPPADAj3/8Y37+85/brkeFtfLy8k7wVlpa\nel6BTle+VbSrL9gIXLly9bWUEOJJKeUvALvZuM85TCuEmEO65cpgKeV5q+rvyr3rDtzpgOfz+WyX\nXPDnFM7Ul0G3fSMLRLrS4V27iP/bv8GsWYx8+GF8Pl821JDOtUtOn07NggX06NHDthDEyu0zjHSb\nFiklB/v0wXP//dQ8/DCBQCALHqz3W7dq6xLdUVJDtNaih1Wd4E4trtCrePMFPB3uLN08ZTyv7nsd\nn98PQtAQO0NlaRWxRIya6SMzjYJV8PH7/Yy+8wZ2Lt+LAEbPuIFgMNjp+3To4KG0CzqkOjOWcDjM\nO3tOIYxKAN7+4CQP3RcmGovz4J2DWfjzFwj1v4lEuLFjnCYyFUcYAn9pPyKRKL6CENGUSf3RffjK\nBxMhxX++to7vzJ3qmN+Za7H7m7FzmJ1yS/PRay8sw5fyQwpeff41nnjyscxrkUiEd17biNeTDnt7\nkz7+6/nX+dFfZtdtvfLCq5gRH5++t499k/cxZOiQvLdfXV0NwJIlS5g3bx5lZWXU1aVrxObOncvU\nqWf/S9u2bRtDhuS/blUXOkcxrxCtEGK0EOILIcRWIcSTQogHLuioXLly9XWQVTW7DdjasVj3z0lC\niBoAK49PpJson1fZXbTU53Ll3OlwZ4Gcv6PK1O/3O8KeCnzW/a4gTwhBIBjMmXvXaYyGweBjx6h+\n9ln2zpvHtl/9KpPEbxgGQ26+mRHPP0/RsGHsqa1l47/8S1ZoUA8b0wF2x/78zxm3bBkTfvhDCgsL\nO7mQdoCqHlu9oELtxaaHUnPl1Vlh3VxTbTmFa/WCDT2fTwjBsJuGkpRJkqkkN999E0X9gwR6eakZ\nX5PlHqoO4o23jCPU20eoj5/xt91kW/Cy6pU1rHplbdbxfXn5xox7B9BMOS8uW095WSlfHDyOUdQP\nZAopU7Sf+ZL2M1/SdGgPxz9cReup/TTt28CMwc3MGhWivCREYcAk5PeydtdxTp8+3S2Ys/sbsfs7\nsfub6Y42r9/C8U9OZR4f/fAE27acnft1y8b3SDRl5+Yd+uRIVu7apx99yr5tBwHw4WfZfy7v1hgs\nzZ07l1QqRW1tbVYYtqQk3fPQAsBnn9WDnPlpyJAhWX8PV111fpuTdGcu2rHAIinlL4QQ24BXzutI\nXLly9bWS7Oh9J6Vcch5XOw9Y2XG/DpgC7DyP67dVrrw7PcdNBzv9vp2jZz2nQ6Du6uVy8qxxWeO1\n2wcAYZqZIorq48fh3/6NXa+9hueBBxjzve9RVlnJrhUrOPM3f0PqxAkG//3fs2npUgJz5zLm+98n\nFAohpaS5vh5PIMDQCRPwvPkmwWCwU6jPMOznwLWcOz2UrCf461Cmu3hqSNZprlS95Yp1vLqqLNYB\nxRrfNddfw769BzAMGFlzHZW9KhEIYrGY448DIQQTZ92KgZF1XKz3b3pnM62H0rli767bxMTJt6Wb\nGe89hRCVWcftzS0HuH/qGVa9V0fbyf0koq3pOXpTCRACb0EJwuPD9PowTUFhcRFejw/ztIFHpIPv\nx06289//dQn/8y8fzTr+TlDnFEa2Sx2we6472rZhBz7Tn3nsNXxsXb+dsePHAnD75Im8v3Y70ePx\nzLiH3zQsK9S5/MUV+MTZdTTUNfP2ynXcOe2OvMawf/9+ysvLMyD39NNPZ1w9SOfh1dbW0tjYyNq1\naxk1alS39tHS6tWrGTx4cOZxeXn5Oa3HSfkCHlLKRuVE1Z/XUbhy5eprJyHEF8pD9X+ufVLKcee4\n2lKy//+pcHpjd6RfhJxCsk6hWR3u7CDPyb3Tga87kKfn6NkBnn7fVB/TkVAtBIa6b0JwVX09tLVR\nF4kQD4fp8ctf8u6SJfjnzGHcY4/xxebNNPz85/jmzmX0d7+bc7tW7l1rYyNGxz7aAUBXkGfnzuXT\nlFcN0VrHyQnwco3LGtMNt1yH6fEQiUSoqCzHNE0ikUgW3Oj5dH369rHdbjgcZuuqHZmQ45Y/buXG\nW8YRjcWZfl0pwkjRq3dPhBC88fJyIuEwf/sPv+FYY5TCnkMxvOlcukjzCZASM3aGVKg3hsdHvK2R\nxSt34vEGKB5QA0AiFiWJyUfHE5w+fZqioiLHv4l8/wacCoNUwM9XE2feypJ/ehWfkc5ZjMkIt981\nMWtc9zw4g9///WL8RoBUKMHcb2cHFU2vB4iePX8ihc/vI18tWbKEM2fO8LOfpdOHz5w5k/X65MmT\nmTZtGj/96VerFxs8eDCDBg36SuvIpXyraLcLIZ4BSoUQPyOd/+LKlStXjpJSDpVSDgV2AJOllOWk\nHbfOPQW6p3NL7HFamQOUqM/ZXehU5840zSy4U0Oyfr+fQCDguASDwU7P2YV07fLynEKfdhffTNVq\nBwQiJQf69OHof/tv3LhsGbf++Z8T6gj1tre2ZoBoSCrFsLY2vmxo4ODx4yQ62lIIw2DgkSP0+sd/\n5L2772bTv/5rVsWi3XE7sHUre2pr2f6rXxGJRLKOs13Ljq7m5u2qEa/d1Fv6NFx6Xz29Yteuare4\nrJiSsuKs1ix2ffhUCHWaq3XFkrfwhL0AJBNJaBG8/oc3qCgvo7nuKM37jjDtjvH4E1GKW7wEGwXr\nd58k3NpMQc+hhCoGEqroT1n1OITpQRQPoqTPcIp7D8NTUEHYrCBpBHj0tgJ+OLmc4cUnKevRn+Kq\nQby6emvm2Dt95+0qfJ1SAHL96MhXN4y+noE39Ms8HjxmECNGDs96z4jrRzC4ZiCJVJzb7rmZgoKC\nrNfv+eZMYgrgVV1dyS2335z3GKZMmcKiRYvYuXMnjY2NLFy4kPnz5wNp+BNC8Nhjj1FXV5dZzkUN\nDQ1ZVbSNjecXrfI68lLKx0n/J72f9K/veV9lo0KIJ7/K5125cnVFqVRKuRNASrmDtAt3rmrkrBtY\nBpzJ8d5zUq6cIqfcO8thc8q704FOX0KhUOa+Dnq6i+fUNDmfnDerIOJAnz4c7ciZu+VHP6KwsDDL\ntTr6ySckWloyF/6kaZLo1YvBjz/OzX/2Z1kVtUIIBhw5Qs9/+qcM6EUiEZobGmyBr/r4cQY+80y6\nlcq//3uXfdn0Xmx2fdm6avHhBIt2eXl6/p0Od9Zi13/PrkWLXU6ePqWXpWgkSjQcBQHrV2+g6WAr\njQdaWL1iDe++sYVEOA4pgTy1n0BJbyUkbCKEgTdUQjzSSsuxj7HmxPWV9IHigRw91cKEsddxtC2I\n3+8j4Pez80A4J5Tr3y27759djmgkEqG5uZnW1lba2tq6/Td4/8P3kfBGSfpjzHn4ftv3zHnkfgoH\nB5k0485Orw0ZOphhNw1BSknciHLvQ7O6tf3Ro0fz9NNPU1tby+DBgzEMg6effhpIF1Xs2LGDIUOG\nMHToUIYOHXrOuXNjxoyhvLw8a1m7du05rctO+U5VVgKsAl4CHhNCDJJSHjiXDQohppCuqvtFV+91\n5crV10JCCPF9YDX2FbXd0Uuk84HXANWk/1/6KgOzve/0uh3kORVWWJBn58rp4VrV/dPDvF1V19rl\nQuXat6HjxxP+zW8oqajoNDOCEILm+noSiQRGKkVcSvaaJrEpU7jvV7+isrKyy5CbtaW6LVto/uUv\n8dx/PyM7Zr5QxzP42DFSv/oVn7/xBrEZMxj8wANZIUwn6MvVuqOrz1iyC5Xq0tejg6F+TpyaSlu3\neh6g9V2aMWc6v/r0P5AtglRScrr5JGNKb2DTW+/h9aSdveW/W4E/FcIUJl7Ti1k5mHgqQfuZLzPr\njLWcJpmI4AkUIgyDaPNJDCP9+aDPwzt7TpJMrKLVsLIaJK1GD15fu537pozL+o5bY3Pal1xLIpGg\nqKiIQCCQgdrW1tac3xldFZUVjJ1ag8frpbjEvo1ISWkJT/6//5fjOuY88gA/3/NLRoy5hv4D+3dr\n+wALFixgwYIFnZ7/2c9+lgnd5qv6+s5ZbbmaOJ8vdafI4lnS0w3VAYuBc82hcXvouXL1p6Va4C9J\nF0js6Hh8TpJS7hRCjBVCTAYapZS7ztMYO8kuYV69MDvl3+Vy7+zCr9bn7Hrn2TVKzlVR6wR46uPS\nykoOrFjB57/8Jb45cxh6//0Z2AP4YvNmGn//ez4Cjni9DEgmCW3cyKZZsyh58EHGLViQBWtSSr7s\n1w/fnDnc9N3vZtqjCGDQ0aPIf/kXdrz6Kua99yJ69Tr7Oe14d7dFRy51tQ6n59TPq+/Tw7xO0K1D\nUDKZzII7/XskpSQQCHD97dfx7kvvI6TAHwyw4g8rGVReDelJDygyS/jsyKf0LO2Nx+PD03CE5vCH\nUFhFvK2BUMUg4uHGdLi2vD+N+98j1PIB/iEPgEzh8Zi0GVW88vZuivqPwtpVIQSbPm1k+i3hzAwL\nTt9v67uozlJitYXRj0EulzJfzZp7zzl9zlIwGOSuh6YzaswNX2k9V7LyBbxSKeUaIcRCKeUTQohz\nCtEKIUZb6zmXz7ty5erKk5SykfSPw/O1Pqv33Xmf8swOknKFrewaG+vunXWrhl/tCinsmh93Z8YL\ndbHamujzdGb2yzAYePQo8n/9L9769a8pi0YpWbCACT/8IcIwGBuJ4JEy09Otb2srX37yCfXr13Pt\nQw9l5qE92LcvvrlzGf/ooxmws8vnGnT0KPLf/o2PCwrY29bGEL+fY/36kZo5k6G1tXg8nkyoNB+o\ns3NWnRboDHQWXDlBnSU9zKsDnhPkqXCuOjX6d8haf/3xepraGkBAdb8hHDi6n0g4QqgwHQpPxBMk\nkwlaws1UllSRqBiIP1pJYe/hRJtPECzrR6z1NMHy/ggB/tI+xOnZ4QAKYvEEAb+PUHEpj4z34/X6\nSCWTxJMJEvE+RGNxQkHT9vutw50FddaiPj6fgHc+dOOEc/Whvh7KF/CESE8vtEOk+06daw7N+a0B\nduXK1WUvIcQDUspXnB5frnLKvesqRGsHeXr+Xa4CCiegywV3hmFkoC4UCrHqg/9ECLh3/GOZfdH3\nzbqtOnOGoc3NJP7mb3jruedomziRa4GgYXBtKoUX2AekolFGvP02W2fNIjR/PlfPmcPwt97Kao9i\nKcsZU7YrgfqiIjyPPML1HU2WLWhygkP1XNgd/2Qy6dg2JhfoWc/pjYnVfdBn18gVplWhLplMZuBO\nde/UcesAVF5agXWa+vToQ337GUKkAa/uxOcMrKpGCIOdp48iB08gEG4iFQ/Tcvwz4uEmSvqPIpWM\nYwiDYGlvznyxGekJYhgm8fbD/OjxWXi9oxh97VCKCguz9sPKFbSOlR3cJRIJfD5fziIWC/LU1yxn\n0NXFV76A9zgwB1hEOszS7RCL5d5193OuXLm6MiXSM07MB6YIIR5UXqrhCuqjaefg2bl3TmFau8IK\nvYAiVx5XV42Crds01Amm3fAtPkuuACASeaTTFGNgX4YshODqpiZYvpy61lYiwACPB18igQDMVAqj\nvZ3WTz/l+Pr1XPutbxEKhbIcqiynjDTQyY5qXWP2bIbPnElhaSl+vz8DBk5g55Tor96mUqnMMbIg\nTIcoyymz1qc6dbkcJj0HTwcaK99MBSAL7tT2LHZ5mxb4WJA3/YFpHP70N3hj6d5tZrFgxv1TWfv7\n9SSSMfr174834iOejNNU0odI80kKqoaQCDdT2HMoHl8Iw/QgZRKEgekNUNjzKgoqBmAYHqIek8Mn\nGlnwjbs7HXd1//Xjre6bDnJdLXa5h64urvKdqqyOs0UR5zo10GAhxGDSfavKO4CvU4PSv/7rv87c\nv+OOO7jjjjvOcXOuXLnqrtatW8e6devO1+pWk25CvJD0fLQWV1x2fTTtHK5c4Vm9RYqTi+cEeRbg\nOVXH2rU4sWabCIVCnRyqcDicgbro+zG8Q9MzAazc/QL33/y4435LKTldUUF1Momvo0VKrGPGBk8g\nwBcFBQRPnqQaOOrxcCAQwH/VVVRNnJgJ06rrUm9TUnKgd2+M++7j+oceIhAI2BZK6AUT+jlwComr\nn3dal10xhhqeVZ08u2OjA551qzp1aq6dGpq09kEHO7t2KYFAgHFTa9j6Wjql9OYZN3L7lIks+91y\nmptbuHbQdbTLMJ+eacLb53ribfUIIWg98RlFfa4l1nqKttMHQKZIntqNNEMUDrrN2hN8JX1ZuvZD\nvjHrdvx+f5fHW//xYo1bd/Dy6UF4MYoJXNkr70bHX1Wyo6u9EGIBUIJDsYUKeK5cubq40n9U/eQn\nPznndUkpm4Am0hGAK0Z21ae58vDsIM+ucXEgEIBknNN1n+DzevF6vJheDx4znfvUb/g4QmWVtuHG\naDTKWzt/RyAQ4N7xCzqNZ+XuF/BWn0JKybsbXqD6qvR/7Z8kltPe/rCti/dl37745szh6n798D/1\nVCan7tSIERTv3UvP+fM5cOIE/n/+Zw4GAviuuoqq+fMZ01FkYVegoN5WjxuHsXRppzlpuyqeyOWU\n2sFgroKKXLBnSS2kUKV/Vs3H03Pz7PLN9O+J5fY5VQNPuH0CH+/4FCEMbpt0K+tXb6BHQS+KzFKO\nnT5GZVkPThdWIpCIRIymQx/gLSjD4w/h8Q9MPy+gORHGiLchwycpKj07R6opS2lobKJnVQ/H46+O\nWR2rU1jWCrFboV69mtZyKV1dGl00wLPUkSB93iYId+XK1eWtjh91apGFlFKe30kXz4PsiivU+2pI\nVA8V2iXZ63Dn9/sxjSA9vnyR0cWnEAjS/wR72nsTGjsZn8+XtQ3r/mtbFrH52Iv0HdiLaPSRTMWr\n5d59mnwTnxBE4+2YPduIhSvwBU28g06xcvcLzBj9CECm6GLI+PF433yTUCjEjuXLM8USN3//+8TD\nYXyhUDr8+uKLNI8cmQE7a5qyXLKgoaiszBFm1PvWZ/RjrQKe1+t1BEK7x7lAMuMwKkCmPpdrn5yg\nzwmU1Jy0/5+99w6To7rT/T+nOveMJvUk5QmSUCBJIwkQwULSiCxAaBA44EBee397d9dG7N17Nzze\nXSN5o9de2xLeXRvbgIIBg5CQRmQECAVAEQklFEczPT2pc3ed+0dN9VTXVPfMSIDwb+t9nqKqK5w6\n51Sheuf9psGkeZl/xzwcioNIJMLb69/F5/Hi9XjoONlONB6lNtpBe+t+XA4nJ1U30fZuwqf24HA4\nqfN8wthhXbzWOgF/9STKi708MLcUr9tDWqqo6XJLsm31/4DR/G0MFrFS74zmaSPJM/7/YeP8YGgp\npm3YsGFj6HgQaJC9lS2+iOQuF/KZaK0UplxmWn1dVFzMmeHzNfuF0NqXSLrrF1BUXJzlz6e3GY/H\neT/2NI7hIahuyfja6QTw9+/+AlF9GqQkJeOUjRO0fNyDABQh2Jt8gd+/u4L1O36VGVdxIJBR9eov\nv5wr1q3j6j/+Y3w+H8WBQIYIXjJ/PnObm7n6T/4ki9zlMs0ORkWzIjfm+baK4rQq82aVU9AqMjlX\nBLI5+MIqQXKuxMhWpdKsSqflI3fGewOMqRnDmNoxPP/0CygRLYedQDA8MJJgqJVxVdWMriomXVZL\nQfV4ikZcRPGoixk2YgpK+WSKCr0Ujb4YX9UFxN3Dae2IMfeamcy9agZzrppOcdGwnOTSPP+6imcV\nIW6VzieXH6mi/GHSjCVLllBWVoaiKMyfP5/Dh/sK8DQ3N9PQ0GB5zIj6+nrWrFmT+b18+XLq6+tR\nFIVx48axYkWf1tXR0YGiKDz00EP92mlqajqrefzDnHkbNmz8IWFrr7n2C4VcvldG5c68zucXZpUz\nzKzkud1uxl55F7uifVUIdsdGcMHcb1qmSFEUhRe3/jf+CSEC4wQtB8PsS60l1usnF41GeePYE5z+\nOIxE4lYKcMsiCpRyLjn1KJe1/w0zPPexX13P3uQLRCKRfuM1EjroI2yf7N9PUsp+5ljjeYNV84Zq\nmjU7+RvzBZoTRudKHJ0vlYlVJLKxz7kqYAzF78xqyac+Ws2lvsfjceMt8VBaV8SNX74Bb/cpCour\nQE3hLa7GXzycyOlTvBuZShoXQgiSaZVNO07S01t2Lh/RzvccrNTpoZC7z5rgSSl599VnWffUv31q\nbTY3N7NmzRq2b99OKBSipKSEJUs0I0RHRwfz58/nL//yL+no6GDatGk0NVnHnRotAcuWLWPZsmWs\nWLGCjo4Ofv7zn7NkyZIsAgiwatUqy/7k+vcqH2yCZ8OGjc8aASHEViHEY73LuVXo/pRh9Q/nYMmd\nWWmyyotnVvSGFRURGntz5sMaHnc7w4qKLFWmeDzO9uiTKK7eYABXHKpO89L7v0IIQUdXiOIKLwVK\nOQ0tf8nsnsf4UvcPuLH6L5kx+Rqunno9PenT+OrbcdW08tL7T+ScB7Oq9Pavf81rEyfyy0WLaG1t\nzezvaGvrRxStfNoGIn/G68xK6UD5BY1mb/Nvo2pqJnv5iJ5VOhWrsmeDLZk2mPHnws133kTal8j8\nVv0pHnz0fm6660bmNM5GrRqLIlSc3gIcLjdul5N45VRCUS/u4uHaNSi0Jop5eu2bA5Zzy+eLp5ua\n9UCSXMmdc6XxOVeCF4lEaF79b+zbuTVrv07s1vzwTmKb/wLRcyRvO+1trYP2B6yvr2f16tXU1NQg\npaS2tpZAQKsAoqt3CxcupKioiEcffZTt27fnba+jo4NHH32U5uZm5syZQ1FREXPnzmXp0qWsXLky\n69zp06ezY0df/GlzczONjY1n9T597j54NmzY+B+Hn5t+f2HzJgwUYGEkAlYkL5eKZyYYo6+4k51P\nr8XhUJg471s4HH1JZo33fOG9/8Q/oS/ouGycoGVvGDFsLdHoN3j30AuUTdaIQPep0zROexjoI06R\nSIR9qbW4e8eyN/kC1wQX4ff7taAPi/EbSdekWAy5bh2vT5pEz+zZ3PjTn3L0nXcILVuGe9Eipn3r\nWxn1b7Ckznw/8/zmOp4rF6GVCjeUe6fTaUtTpQ4r9UtRlCxfNit/voHGarXo8Pl8XHHDTDav2ooQ\ncNWNlzNx8gUIIXj8qXW4qybQc/Jj3MVjURFIRUUtqEZJazVpdReAZFrllQ9Oc3tjDx6PJye5y6fm\nKYrCq1sPkE6l+NL08ZZEbqDE22eDSCTC5hdX0Ln3WUZ4TtNVNSEzv1tee45jW35DRWoXo1wCXIJo\njnaCrS2899IKDm17ga//3aaM/2o+1NbWArB69WruvPNOSktLOXToEACLFi2isbGv4uLWrVupr6+3\nbMd4zrRp06ipqcnab1UOrampiZ///Of87Gc/y/Rh8eLFrF69esB+m2ETPBs2bHymkFI2n+8+DISB\nAiysiIbZV8zKbyzX8s6R54l5RjBx1AzG9ppi9Tb1hMVSSg6o6/A4ChEG4aFQGcZl3vvo7A6xN/lC\nhrztSbzA9ZGv4+9NdyKlZN32X+KqOYOeocZV08pP1v8ZF9ZcYZk+xcpkKIRgooHoHZ04kbnHjuH5\n13/lndWrcS1cyKW9JcrOZe7NBC8XuculElkRisGSLbNfmtW7kGueBmrb3P98xO6TI5+gKAq19bVc\nPedqdm3ZixCCq+dcBUA4HObVD8+AWkBaOHEIAEkyLUl1nUBRvKjdJxhT2MnFE8ciVUnN6OHE4oms\nQImBlDzj+GKxGB+eSIEquTwetyTb5j+Acj2PwcBM7Aq9AmPmxieX/z0lp55kVIEEV+62dWIXP7SW\nKl8n1QVDD/ZYtGgRqqry0EMP0dTUxIYNGwAoLi4GNPL1wAMP5CVfUkoOHz5MWSdTYMMAACAASURB\nVNng6jw0NTXxyCOPZAjeypUrM9tDhU3wbNiw8ZlCaNVvVgEhYCVwUP4BVbIwbudTk3IlKTYviUSC\nw0ozqQvTONKS0x/8mjuuejjT9vodv0IImHPRYuYE/hcinP0RkyMkF4+/nE0fPIVrrIG8jT3D+h2/\nZOGVmooXiUTYl+xT73ScKX6HD8NnuC7ytX6lzIxjNyLd+9GPJxKkDTnexpw4gfzRj9iyZg2O229n\n6je/icfjGdRH3Ty/uipmPKYofeW8jLnkzHM6FCJh9RyNiYlzmY0H+weAuW0rMpqL8G1Y04wQCg8/\nqlUguXHxdSD6zMaxeIKvNY6nOxxmzdoP2H9SM53XlamEAyNQC0ficjpRaOehr92aSShtXHKZna3y\nCkopaX57D3HPcJDw5vuHuerS2rzP8lwQCrbxxLJvMCNwsB+x0/HlB/8Pe3Zcy/43/5uCjs0M82aT\nbTOxw/oVzwudkOlEbunSpRlVDzSTa1NTEx0dHbz88stceumlOdsSQlBXV0d7e//0n52dnTz99NM8\n8MADmX3FxcUZM20wGGTGjLMvt2YTPBs2bHzWWAFMB5ZLKX8ohNjKF7yShfFjlY/k5VKX8i2bdv0W\n97g2RDTN7oO/ozRdSTT6DQoLC4lEIuxNvkCyJ8GY96oo9XoxWrSlhJqLrsDl8rE3uRaXqZ9GFS+e\njHJ10behva+Ft/e8iDuwCceIVtbv+BW3z3owpxql75VSssvlwikEE4cNw9/dzcFolDq/H59JcTPP\n4UDmSH2tkztdPdMrT0gps8yheuoOc3kyqzbzPU/9uelBE0YiaRXVa6XcWpnrcy356gjry9uvvU3P\nMc3Q+OYrb3L1nKupqavJ6ntpSTHzZ19BJBLh2c0nGVWm+YW1Hd9BYflYXIoCSLplGU88s4m7b/kS\nbrfb0n/QivSZzc6RSIT3j6cQHgFCsrdFMD0W66f0nY153gqlgXLu/b9P8fa6x+nc+wwjvGcsn+fk\nqVcyeeqV7NnxFvvf+iUFHW9ljiUTMdRUFIdI9LtusFi9ejXBYJDHHnsMgGAwmHV87ty5zJ8/nx/8\nYHDuxA0NDWzfvp3Dhw9nEcWnn36aZcuWZRE80FS8p556is7OTh588OzTiNoEz4YNG585pJQdhn+o\nv3CVLHQMRp3JZZIaSNHTgyYOK814hRYRWzohjcsNGz54gjuu+iPWb/+lpspF00Sf/AsaAqms/u2J\nj8Q9YyNtrSeo/2Qm8f0xek4f00QeqX1o3wn9hkDFcGqmXM7V064HtP3hcJg3On/MiNphAHzU9iLh\n8Fdz5rZTpWSPx0P37NmMvu02Rv/1XwMwrr0dEQ5zMBajpaqKsffdx8wHH8zUpNXJ2UDqltGXzbzo\n5M64RHq6aPl4B1KClCpqWiWtagRt2PAJeDzWJmIrpVB/Pjq5Mytb+QIOzL5nuQhdviAEc3BHLBbj\nveYduJxuAN5e/x4zZs2wVFillDz5/Ot0UYYAUokYYTkMZzyJ3+fO9PmZl/egqpKv3zHPMmGxMepX\n90M0k7yNm3cTd1cj0P64SHiHs/nDI8yYNGLAnH4D+STmQkFhIfOa/hfhnvuyiJ4VjETv9NF9AFSP\nHMuN3/h7TnxyLx+8/AvUY+sp9+by0LPGvHnzmDt3LosXL6a2tpYlS5awePFiQCN/QggeeOCBjF8e\nQF1dXc72SkpKWLp0KY2Njfz85z+noaGB5uZmHn30UZYtW9bv/Kampkxgh9XxwcImeDZs2PissU0I\n8TOgRAjxGNBxvjs0VOQyvw1E8szLq3tX4p4QJBFVwZ1AcSnEU1H2JF7gsuML2BX/PV4hcPudvFns\nYZZM0BOXHGlPIpAcrp6C2PYy0WiUuv2rmTyskyOhEFPKNbNpUjpwHnmLPR+NwjVtPdD3gV2/41e4\nalrJmL2Gn+aF935B0zXfyTpPJ1cz774b/8MPU15ezvvr1/dNhpSkHQ6S1dWMve8+Ln/ooUwCXeP1\nZ0vurFQhKSVeXwHVB/6LSwpaNHWx9z87uiuIjPtHhCFAJdczzEXAc5UQMz5747VG4mbeNgbTDDaN\nyPrfbcAZdfXmtRA4Ii5+/9QL3PWtO/uNIxKJ8MqHZxBCU++kmsbnUlA69vHNuZfjcruIRqL8V0cp\nb+4NcUdPj2WJMX1tVPeM5C4SifDB8STCKwwkTbC/1cHkMRFUNb/p1xx8MlRkE71fMKI4kPNcnegZ\nMXJMHSMNRK/t9EuDvvfUqVNZunQpTU1NtLe309jYyNKlSwEtYGL79u1ZgRVCiH6VUMz43ve+B8CD\nDz7IoUOHqK+vZ9myZdx3331Z7YBGCOvr6wkEAhQVFWUdGwpsgmfDho3PFFLKB4UQD6Axi4NSykfP\nd58Gi1z+VwOpelbO5rFYjCMOTb07/XEPZZO1NlPEcY8+zd+svJNRN3Qg0aL80je52PxbDw1FcRzJ\nbiYEBBcqLyG2aI7ea7scNJQpxPAhZQ8IgXRqKlb8gia8BvUnHA7zUerFPn88KTl9oIfj7b/mxvA3\ns0qZ6R/kUXV1WUqafuyTsWNx3n478x58sJ/6Z5wnM8nTAyjM5M5ojrVSfvR1QWEhJ0fcgOz4b4QA\nKTRVqaWqkeHDhpFMJvv1QV9bqat6YmIjwbPyxTM+d3MgjZnM5UsIbCZ5/SKAzd9vkT2nOmLxBF+b\nO653zgDKkIxClSrTpoynuLiI/169EaVoDHHgdxvepemGWf0SNxuJnpWZNhyJctU4N1K29J6rnZ8s\nTBKNxVAEWddbET29rXOBRvT+5Kyv7yN69w0pEMgqwhXgsccey5huB8LHH3+c9ft73/tehuiZUVJS\nkkUSt27NTgszEIG0gk3wbNiw8ZlCCLFQSrnc9Pu8+uAN9NewldN4vn35SJ++TqUTNLi+hXpYpV38\nGLfsASlIJtK0hTqRY1pI4SWW0KoXeP0FvFnsZpYjThQv0qG12xVNcySYIDbqJtYff5cKEWPrKYWL\nKsHl87EnMZpJ190L9KlgsUSUq4Y9DK26s36coPgXCEBHV3vOYAsdUlU5MmIEnoULmfWtb2UIYS51\nJhaLoaoqXq+3n2pn7FdnKMiJjwwfMs3+ipRQPWEqhUWlWURvzFV3sXPVei4uaEFI+CBcxYhrF+F0\nuXL23Uq1czqdmbJaRsKjL1ZpU8zm3VwVHqwSLecieSeOncDhcHDL4pv46UfLccY8AKgFKW696xbL\n97S0pJjG2Zf3Uzp1MtXT08Mbu9sQjgqkhM37OrjxmnCmZJo5WXMucuZ2OZk8blTW+YlEgng8Tjwe\nJxaLWVb0sMoR+EXAyDH9g0P+/w6b4NmwYeMzgRDiDmAxME8IcZfh0DS+IEEWZuf7wV5zNktxUSmX\nFl1JLBGhoHUJzi4nihC8tW8t7x94nqpLJW37FKKnVXwM4yr39cgyydoPVpOSftQehamOdpzCSSKR\nYKF7E6nKMM50mG0nVIRW3Zb4BYvwmZS10uIyrrz0ugwRePbt5ZRN0ZzQtxx+kQWV9+UYrYbayy7D\n/fzzWUpfvvnc+MFvQMDNM76VRe7MOeQ8Xj8lH/yUiwpO9TUi4cNwNe6LnsjMna4G+gsKODbyRmTo\nPwEIjryemmHDSKVSls8mF7lLJBJZ5C5XJYpcvnj5kjBblVDLZard9MwrKA6FBx+5n8uvn8nbqzWy\ne+X1M2k5pfmd1dbX9JvnaDSqma17TeNGc+jKF9+iRynPRMmEHeU8t2kbt82b3m+8OjGzUuGMa2OZ\nNp3gxeNxEokEiUQiL8n7ohC8/4mwCZ4NGzY+KzQDO4AlwGP0GaHOa5DFYJS5s23XbNI1H3t595M4\nnS4WXvlQps7sM8f/ispL0gTqnYQOJBk1O40nnaJg+ROI7m7UVAIF2HcGplyQQrh8HPLPpIF9OL0F\npHpijC+H9yPDKfQOZ9L8e3P6tunBFvvT6/D09vGj9IuEw3f3I29GYlVUWpr1W19bIRKJsF+uAxWi\n0bvx+XyW5E5RFPwFBRyuuRl5ZnmmPYmko+YmqnIEf4y96i52Pb0OiWT0DYtxOPrym5kJez5ypxMS\nI8kxkzwrFc8cSGFF7qzq4ppVvHff3EL4RAyAza9t5kvzrmHPe1reuy/Nu4af/MPPEAK+/b+zk1cD\nPPn86wjg64saM8eklPT09PDmnmBGvdMzHr9zoJN5l/dkVDwjYdO3rUy2RsVPP18ndbFYLC/JM7Zl\n4/zAJng2bNj4TCC1+rOdQFacvxDiUuD989KpTxEDEUPz8Wg0yiGlGaEKIpF7KCoq4rl3VuCtb8Pv\ndnB8exJ/kQPF6UKKBNtL3MzpCeP2QlsUChzw/ilIqBGi9eN478xRpldEkE4vH/UUI6c/QNzlzqh3\nuZYNH/wad21fsIWnto3mD3/LLZfdm+k3MCCZM+/PqHcf/gZ3jZaf7eVdT3LzTK1dM7nT+1M/+2vs\n+uULXOTXVLydkeHUXPXlfvfU7+fz+/lk1A0AjCsoyFKIcvndGc2yLpfL0rSYS32yMtPmInhWtXHN\n5E7PhbiteQcupwcQvLP+PWZeOZMb77oBIQRvbHqTrqM9ALy+6Q2umXt1ZoyRSERLdgwsuiGcZV6P\nxRPcefVYVClR02lSaho1rZJKVRCJxinwi34KXj5iZiR9xnONptpcJM/Yho3zA5vg2bBh4zNFr6nW\nSPJqgfHnqTsZWJGWoSp5+SIEzY76r3+0Gs/ENhCCF7f9N40Xf4X3up/AN1KSTghiIZWqcYL4tihx\nEjgm+Ni9S2FmpUptKUypgG0nwSvgy+lf8lJXBZSD0+2H6Q8x9ZY/yhmJmqXeqevwGscpBPvlOiKR\nuzNBE2eraEYiEfan12WCOT5S1zEv9hV8Pl8/cqcTM39BAV01tyBbtIp2nTW3MNxCvTOSzZqrvwyQ\n8ekbyDRrDIQwqla5CJ4eXWo2MZoDLXTiZkXszATPaJpdu2odkWAMIWIUFZag9EbN3n3vYmKxGL/8\npyfw4MfpdLD5xXeYMWt6Zg6feuENunsjaFe++BZfv2Ne5vmWFBcx+8qGfqqbkZiZyZ1OznKpmVaE\nUL/GTPBymWttnB/YBM+GDRufNR4EHgUeAFYD885vd3JjKOTGTECsUn3oiEQjHHW+jF8IEILtkd+y\n85nN+K8JoaYFJ3fFKaxUUFWFeXu6mVUoEaKLN8pUjnXCqCIt/mBKBSBAOjxUzP4j9h18FglcfPPD\nWf5YuZZ4MsoVvgfgFNl990oSqRh++sy05mhUM6zM0C+89wsYeRqEE6TEXdNK887fsOAyLRrRSsVT\nVZX6a+9h1389D0DdNV/JatOKRHt7yY6xzXzkLpVKZdYulyunL9pgVTwzwTMreLnInb4WQtDeqSXP\nLSrUoic7Qh0IIXjut79HdinERRznMD9KxMlzT/6eu761WFPvdraip0h5dWcrTTdEsqJDrZ67VQ48\nM1kbiPAaibGR0BlJnplE2gre+YVN8GzYsPGZQ0q5vfdj3Sy0lCnnHeeiVBnbyLUYFaB3j/we70VB\nQCERTeEeG+KTUy3UJYtQ1TAup0JPS4qOI7ArNYsvpT9AURRmjVVZtb2T0cWwpxUmV0AKB+/3VOIq\nq+HQsSkIYEw8mpfg6SSlqLCEKy5utFTH8m0PtAZNvXvz2G9wRMOMuagYesnQR+l1RKNfzTIl6j55\neht+v5+umlsAwQgDecunkBr7oI/T7HenkzRzBKlZmbJarNKmGEmkURU0++GZyZ05uKK8OkCxvxQh\nBafbTpKUSdTTFRw5dJTDh46gprXUMYl4AhRJNNKDEEJT73oTHAP0iDJWvvgW9yyc20+5tao1a46i\nNat7+UzXVucbSZ6ZKBrVQBvnBzbBs2HDxmcN0WumRQhxP1BynvvTD1Zkz4pcWKl0+YidqqpEohGO\ne1+nUAgkcPyjENKRpHiMg9aNlUSKDjP6ahdSQOdhCFx+LYf2RJjsPoHbDcMCPvYHT+N2gKpCSqY5\nGT5F/fo/piqpEiscjdPt7dcXc7JZc58hP7EzEigrQmfe7uwOUVThQ+Dj4hN/htejpfyQhSrJVJwC\npSDLNKuTPL2dcdfek5UTLx+s1EPjuPQxOxwOy7qrgyV6xioPxjnL5YeXi9yZq5m8/9qHFBYUkogl\nCHW2o7gEkZMJfvyD/6DIW0Qw3EaJr4R4xzbqqg8ycfL3iUQirN9yDNVdlQksEULw2s5WFl0fwaPP\nt8W7mauShVnJMypw5iCUXCZfM8kzE8Q/1Chavd7spk2bmDZtGqtWrcoqMwawfft25s2bZ1lnFqC0\ntJTOzs7M77q6OpYuXcodd9wB9LkYGCGEIBQKZRIcnwtsgmfDho3PFFLKRiFELVpU7V+gRdWez/5k\nEQSrYIJc5M28z0olMS+xeISJsSY8+73E43EOph5DCAUl5iUx/DD+AomaFnj8grJ62C83Mqn2VuSJ\nnwBQM/877H+vmZFdrzOxQkUAUx1xhIizq1Whs/YmDmzdhABUVaJKiUQi02lGTZpJYXFpTtOxVaCE\nORLYHCySy3T7zsEXMqlXeo6fpnGq5nbZ2R7k6O53OIEWIYuUSFVFlTBq4nQKikqQUmbMrkMhBLn6\nYsy3ZyS6VkTHiuTli6g1q4TmBMe5yJ2+PPfk73FE3Tg9glQyidvpoTMcotxfyemjIVzlbtyO/YwY\ndoQpI+M4XQ48Xi/xRJIRseOI+HFuXHQ9SK2cXFotJp5IZAie8dlajX8gkmcmaWafRSvVz+yDZ1ZA\nP038+Cc/5obrr6e+ftyn2q4ZDQ0NPPzww6xZs4ZHHnmEBx98kA0bNmSdc//992cRODOEEGzfvj1T\nxuzpp5+mqamJQ4cOUVNTA5B1XMenQe7AJng2bNj4jCC0smRWuBMtfcp5x1B97owfevO2lQkslUox\nbNgwLgxcTkFBAY+/8hcMnwPgJLhHMuJSN2c+StGxX1B+oXafzg0OapruYu9/PQfA1AXfZvL8e1n/\nw3u4RLyGIlO4hNafo+lqrljwR5x8fCFTvCd6O6r9Z1dsBMpFv7OszKAjVzoXK5KX63zQzLMfpfsq\nZexLrSUavQe/34/b68P1zj9a9s91yTNZ9xqKcmdFQnOpsLkIuRXZMW+bVTxzNK2Z5JlNsolEgkQs\nQll5ZV/VCvpyBkViYVLJFB097XiUA1S6X2baBElKTSMBh1NT63Zu+5CqZCEAnlSSq+dclXm2Zl83\n8/PORXBzmWDNptaBllzm3aESvB07dnD4yGEW3LIAp9Oanhw4sJ/3P9jOpIlTuO3WW/sRvXA4TEFB\nwaDvaYXt27cjhOC73/0uAD/72c84cuRI1jnLli2jvr6eHTsG/qdMJ2z3338/S5cuzSJ4JSUlnxqh\nM6O/PmjDhg0bnw62Au9ZLFvzXfR5IBeRGChIYSAlyMr0p3/wzrSdobvyfYTo/ci7kySTKRRvmmQ0\nTmpHgtT7CVLx3Rzc9gaH3FM47J5CMh6ltKyM6777Sz52TkZxFyCB3W0Oyq58gNJAgOiEhdqYesmT\nKiXddbfi9fn6lY3KVR/UiiwNdnlpxxO4a1oRaMTFXdPKhve1RMX+goK+/qGdICVExi3EX1CQs818\nMJ5jVYbMXEosVzCE1+vNLD6fL2vx+/1Zv/XzBgqm0JdEIsHW5l+x/YlvcuSj7Rlyt+CuW1D9SVLp\nNGc6WigrLGNU+RhOtZ8gkUpohE1N4xAKDqF9ohOJBG+tfQeJ9ojfXvcusVhswHka7Lubz/xqTIeS\naxko2fFg0dp6hnXr1/K9R77L7575HalUyvI8h8PB/gP7+MHSf+Cf/vmfOHiwryTYb3/7G/7qr/+K\nzZvfGvR9zdi6dSvTpk3joYceYty4cdx5552UlpZmjh86dIjly5dn6tPmg/H/tY0bN3Lo0KEsxW6g\nP2rOBbaCZ8OGjc8EUsrV57sPnwYGS/LyKSGJRIK3Dz5L1XQvIqUgBFTWqHRsGIcrDcMu28ecjWe4\nvED7oDk+/BMU4WNPYiROtxY8UVpWxoFJd+E8/M8kw1GOpqq49paHkFIycd632POTNUzxngRgd2wE\n42bfY+l/Z4SR1PV0hji2512Ew6FVxRBaZQwpJTUXXUFxWbnl9ZFIhH2ptX11bnv3702u5bqIpuJN\nnn8fe378u4yKtyc+kgvmfTMvqTMqeuZtHeYawFbtqapKW1sboNXzDAaDmWeof7TT6TQlJSVZEbdW\niX9zqXhGYpdMJtn91io4+TJjCtoQBYKIoW9+v59ZN1zO2hUbSKXTuJwuQFBaGGCYr44Pjp9h17F9\nzKjvZOKIKIlYgq2b3kKJVLGroxUh4CKlgueefJ47v7EoMye5yN7ZvLtGc6t5bVbqBpNLcChQFIVI\nNMy69Wt5443Xufrqa3IqejrR+/7ffchdi+/m+uuvx+1x03LmFL/4z8dZ/9JLXH/ddcyadeWQ+tDR\n0cHq1atZvnw5S5YsYenSpTQ1NWVMtHfeeScrVqzIIn1WkFLS0NCQtW/ZsmUZ9Q6gvr4+63h9fT0H\nDhwYUn9zwSZ4NmzYsGHA2Sp3+Xya0mqaYOl7DHN5MsRJOAVFEyOkU5Ki4UW8PyrB5aE2hBCkieN1\n+mDC4kz+M4ApN9zP3n9bTTjspvSq+zMKndfnIzzuduSxf0cCPXW34fF6BzTPGk3UTrcXz5Z/0Uii\ngSvsjo3EPWNd5ryuUJAju97WfgtBONzNuFMzkZ9AWe1E/MM0c5NapKVeKRAF+AsKiE24A3n03wCI\nTFiYScicy9Rq9om0MhcbiZaUkmAwmEX2ANra2hChhVQEHHQEVdxqiEAZSFUiomUIIQiGJN2OFykr\nK8tE36ZSqcy2uUatfn+japhMJtmzeTXK6VcZWxhEKdT1TGvfxk/OHKWush6n20UqkaKyuJrTHadw\nu7yk0xey/0wxh9v2M7J0Px+27GLC8DJOOosBuCCdPOt32irgJJeSZ5XfbjBJos2k+GxgJHrNzRv5\nwT88RnFxcdY5qWSKCeMv4Oabb2HKlClZx5wu51kTvdLSUhobG7nvPq2E39KlSzNkbvny5UyfPp1r\nr72WUCiUtx0hBM3NzRnFzkjsdBiPA5SVlQ2qj4OBTfBs2LDxPx5W6lCuiFRzJOZgUkjIhEpNZAHe\nD7yaWa/XnBdPxRAOJ6Wni0mMS7Jr0/eZNqwdFNgZ7Ss7psPn8xGbcAdqMsmlNz2U1b/xc77O7uW/\nQ0pJ3Ze+alluyzhGM2lKJePsExNRTx7MOudg5WTGJGKIQs3/y+X149j8Q6Z4jmfavBzYHR9F/eJH\nMsmSzZh83X3s+fc1AExqvHdQJmErGE2z+nZrayvt7e24uu4kUNbreSRAEQIRSiMQVFc4ehVJqCoX\nqKoAoUW2CtJEe025RnNvKpXK+p2vsoWUEodDgUy/9fFljzEajbJ5/bsU+gu0eySSKMKRabeyqIpT\noZN0RroYGZjOKyfH0pPuJBluI11yKelUkp1dO/mzu78zoDnb6o+UgQIu8qnQ+SpfmH0W87kDDBYC\nwWUzLue2227PInf5iJ0ZDqeD9vYghw4dGjTBq6ury+q38d7Nzc2sXr2alStXZvYFAgG2bdtmSeDK\nysos9xvvle/4ucAmeDZs2LDRC530DBQxa6V6GM1bLpeLeDye8csqLCxkXPUlFBQUZPlzmf23dp75\nBNexn4CA5LjFWQl9dUy+7j6klFkKnaqqeLxeumpuBSSje48N5G9nhMvtpSa6g/GF3TiFdk1KCjpP\nbWDjrwNcseBbjKodT0FBAbEJi5BH/iWLCMYvWJSpZ2tsv6O9TVP8gAPKZBCQ3vEaaakyZvJlFBaV\nDJngGZe2tjbCnzTiUiFQ2kFVQDfNShRnOapU0LJYaIpan66W2QWCjIk1H+HMZ6Z1u900zL2HROIu\n9r3zO9LHNjDa39ZvPM899TyOsJPakXWcOH2CUr+m2LR2naGiqLJ3PlUUxUE8laC1IIAiyjgpnKhC\nIdJxiuPCOyBxikajJBKJzPPJF02cr2pFvhQquVQ743I2BE8gmN4wg9tuu53y8mzXgJqxNcyff92A\nxE5Kidvl4YrLr2Dhwjuy8jAOhLlz59LU1MSaNWuYO3cuS5YsobFRq/u7YsUKHn/8cQAOHjxIQ0MD\nhw8fPutAiVAoRElJduYo8++zhU3wbNiw8T8SRjJnVu6MJE/fZ2XiyqV4mAmeOReamcB0d7TT8vH7\npH3VrD3qRyComDKCD157vp//m8eU0Nj44R537dfyfmCNhMys7Pn8frrrbkM5/AN6AzdxqJKCeAtj\nPl6Ov+i7mevHXHEHW7c9zqVFWjWG97sCKJeM4sM31mr9LQ1k2nZ7/TjeWsYUz3EudPXeb8dGdkdH\n4Lr0+X5m1qEQPH0uA6WKRtQkKEpGOxvUe6CqKqqUGXObqqqkUilKS0szypx+31xmWuO6oKCAy677\nJonEV9j15kriR9ZTYVKIU+k0itAqWqTSKVRVi4B1Opy0dJ4mnoxTXTqC/T1dOGtm0BP8BE/RGGQq\nieLykFA8/HLNRh766oKc4/r9y9tIp9LcNPtSy3fXbKI1krVcee8G429n9lccCsErLBzGjIaZlsRO\nx5/+6Z/lbUNKcDndZ0XsjNi0aRP3338/TU1NNDY2smrVKiBbzautrUUIcU5RsGYfPdBUwjlz5px1\nmzpsgmfDhg0bJgzkh5ev7JPL5SKRSOTMg2YOBgBAceLd+q9cXHCaVHUYELh2P8ru2AicDS9mEgBb\n9c1I5tweTz+Cp1+jk1adSJk/vEIIGm77Y7b8n59wVWUXAHuCcEE5bHJdyxUVFQB0hoJ8svtdjp8J\n0eAJ0RWHTz7ppu6FBzmcriCR/Ac8bjdSQs1FVyCl5CNlEuqJAxnzpZSSAxVTGJ6II/z+LMJmhN5/\nMxE3EysjlzPTOmH+YRi2qqqgtoMKouMOXIoCErpDKrA+45Nn7pOVH55Z7fP7/cy68T7i8a8h1b5o\n0FvvuoVH1/0fAr4KygrLOHjyYwQKIwMjSaQSJFNJPG4vx4PHOFMxHqea+MzrPgAAIABJREFUBqcH\nFCfR9sP4K+oRwOrmndyzcF5WmTJ9biORCO8e6EZKldkzwpn5G0wEeK5lIJ878x8V+fw/c2HWrFnM\nmjVr0OdbtnHFLBbfufisiZ2OqVOnsnVr/oD/kpKSvJU6ciVA1vFp5wg0wyZ4NmzY+IOEEGKplPJT\nS5qcyw9PVdWM/5X5A2mOPHQ6ncTj8X6kTid2uSI9PR4P7aNvRG17HIfH33tvlci4hVmKnblf5o+p\nlXpnNDfrH3rzoh/3+f2oM75D4tA/4FIgkYI9HX6+9LfLM3Pj9vpJv/VD0rFu9rRCLAXji1NcVJpi\nklBx7/hTFKGwOz4S13Qt6nB8ahcTiyO4hPYxTEoHIrUTt9eX1yRqJKO5givy+aCJXnoX6lJpaUvT\nGlSRaUirEqlKULTE0aEOCJQJKsp6zbsSjgeDlJWV5eybWW00q476dkFBQRZJfO+trQgpiMVjqGoK\nl8NNoChAKNxOOBYhpSYpHVbKyZ40rspxqKkE8a6TpNIJQCDTSVAEKeGhPRRieHV1v+f5bPN7RJyV\nSCnZuHk3866YbBlUMVSSNxhyZ1bvzsUH72wwYcKEz/V+X2TYBM+GDRt/cBBaPds7+JSqYpgjNvW1\nUSXTfbDMZq1kMplJlZFIJPKSO0v1rhejLm9i58q1XFxwGoFgV2w49dd+jVCwlWN7t2jXIDLVINS0\nyujJM/EPK+73gbUieGYF0Ih0Ok1raysOh4PRV93N+td+RInoYXQJvBodx9FfPUZ328mMGnbmaBJf\nR4JwBMZrde9JpkE4kqQScQCOuqfAtpe1bc/FjI/txymjAKgOD/GJd+IvKOjnz2Z+LrmCRLIUvF60\nt4PolejSKgglTagDKiesxVVRQXWVSjAYpJs+kpw6s4BAcYiKknaQvSNUJdFTd9Me2EBpaWlecmfs\nk3nbjEgkwtvr32V05RgOnThIJBFheNlIXE6X1muhEBcRSkpKEQUjtHG6XHhKRqKmk/gCtSBVhOJA\nLRzN2le2c+9dN2TNVSQS4Z39XQin5s+37WiMWZdELMldLuI2GFKXj9ydjXpn49OHTfBs2LDxBwcp\n5XIhxKLP+B6W5tB0Op0VYamnyBhItcul3unbHo+H4MjrkaH/QiLpql1ArcdDAnC/849c6D2J0ca4\nKzYC5eLf5VTvzP53ZvOs8QPc2tpKx8EvUVqs0N4hqbo1jZqC/Z3geifMpZ/8hGhC5SKNM5Cs1+ri\nbjkBEwPgccL7ZxQuHeNDJMPsD0quHb4e3xZNwYuFq/lIGcdkuQeA/Yxn8vz7+plcdSJtLjVmZaI1\nzmEwpFJWLFApo7XXKhbqVKmY8Huqp1RSUVGRaXP48OGZtk+fPk0irVBVpmDklooDyoqtq3iYCZy5\nT/nO/f1TL6BEXCCgvLgcFcnRlsPUlo2j0FNI2p1k8TcW8trTmxkXDVFakKZTujkgRtHT0aq1Jxwg\n0yiKg1c+PMPdC7Q6tPpcPbPhXcKOigzRjbmqeXnLR1w9ta5flY7BJOo+F3JnE7zzC5vg2bBhw0Yv\nzEpRLhXPTPKMFRTMlRXyETyzklc9YyE7n1kHQlBz1ZdJp9O43G66am9FPfkfugsbUkq6a29lTK/P\nndXH1irAIpdpFtACFRAoMkj1cECF6uFQP/4UXe0qrc/AhRVolSgQpBUXwViCk2EAhVNUM92TJiUl\nMcDn7iNpysV3kZag7v0+AMlJizPqHZAhdzoJM5rFjWRPH4e+VhSFyspKFOUNhBBUDVcyx4YLQUVF\nRT8fOvNzHuw7YbXOp9blQjqdRhWCokJNeRWKIJ7UlE3FB1fPuYr9Ow4wXFTwrT/9Bvd/fyVKXCLV\nFJHgEQBSkXaKSioYU+EiGovhcrlQVZVwOMzm/Z0IR2VvPyVCwIfHU0wd33PWJtiBiF0ucmcTvPML\nm+DZsGHjfyzMplmz/52+NqpIRjOtTvJ0Fc+K2A206NBVvJbhjbicLqqdTtpbWzj18Q7SBcN58aif\nsW4t0vNIvJRJN92U0zSby0Rm5ctnRqBMyxMnEahpwFFAi5qgKKCyp01lQgBQHHysTEYOO0M4eQqH\n20/1nD9i36FnUVERAUlX7ARHgkmOpwJUTx0NqsoHPZoEWHPZwpxKWHdniE92vQ1ovnCS3j5LyehJ\nMxlWku0XpygK1dXVlsqo1fM2bwfbVVBlloIXbM89P7naGQyZWXDXzfzvl/6KgK8cZ2EBLd2nuWDU\nJI4cPwzAhMoLeOY3z3Jjr9k1Gouz+Etj+dFvXycSbMFfXgdIHEKluHwEp6JR3L3kTlVVItEYt82s\nJpVOk0wkSCSTxBNx4jEHkWgMRWAZNDEYs+xAf0jkInc2yTt/sAmeDRs2vnAQQtxvsbtdSrnms753\nLtVLJ3lCaOkyjATDitwZlbtcKp7xPvrvqobbcbvdJJNJUJwUbPsRF/lPkaqO4E5HAIh0FuAvLLZM\nTzGQ/515jJlxkx1xKnr/I4RAOj14PJJQJIIqQTi8qBd+meHj4yS3/BR3SRWX3Poddq1zaWOREue+\nf0JJddNYlcL1/p8DsC3Sw+lUMZeUlfcjYLpi5/H6eytqnMj0C7Tya+6pz2QUvcEEOOQca+++8vJy\nWsqfo73tNsoDSmYiysokqiqJWJjpzXOovyO55vfo4aM4HA5q62vZ+vZWUAWxeBypSAJjS3GF3Ayv\nGN73EICaurGZ61tCUSiqoTDhwVc2SpurnjT3zSnH7XQRjcUzpdWKhhUya8ZFxONxYrEY0WiUaDRK\nJBIhEokQDodzpjsZyBSb6/2yyd0XFzbBs2HDxhcOUsoVn+O9BqXimUmeMZLWisjlC6zIRe4ALe2F\nEJk8esGR1yPb/xOH20cqGkNKSXjy13C5XKRSqSzfQLOakmu8Q4XT7ecQ1Sjs55XjAl9lLfVTb0UI\nwc7OMHGPC6/Xy0U3PpS5x4F9qziadjPZ01dWa3K1j57h93Bg68sIoeUs04NGpKoyZsrlFBaXEh6/\nEPnJv/cGlmhzH66/HX9BQda8qapWZ9Zqfo1+d7nGrygKFRUVGb89I0Kd4PblJ3cDkRopJRvXbEIo\nCl///77K2+u2MLpqDIePH0QmJX//z3/L8r//BUVCy62W9idZcNctmTYikQivfHiGSFcbvvK6vvek\nqIaTrd18s2l+5h20iuw2V1XJV41iKMqdUcnONQefdQoQGwPDJng2bNj4g0NvgMV0IcR9UsrHz7W9\nXMTO+NtM8nQVz+yPl8/frrfvec2IxvupqsrwmXewc82LXFxwmrTiZXv7MGq//BWSyWTWebkiGI33\nykfugiEVqQrKSrQIVNCqQTgc2rWJCbdyau/bjL/idSorDpE6dRXBkEr5aC2gYdeuW6ms1EywlZWV\nxCc2UV6XZN+hZ5ns0dS4w4zh0gXf5sTPb83s02Wr3bGRuBu0mreT59/Lnp/8TquLi2B3fAQXzPtm\nP2Lc1tZGcP/VBEoVY3o7giEVJr9NVVVVzvEaVTxVfaNfChyfX6WkpMSSxOQyc5u3N7/2Nt3HoggB\nP/7Bf+CMekFAoKQcieSlZzdyxfWX8daqLQBcef1MvN6+KhXRWJymK0fx+LpuUl6DL6FUeH13kKYb\nenC73XmTbhtL5g22rmwun7tcip3VvBp9J20l7/zAJng2bNj4g4OUcjWw+nO8X0aR0JUjs6l2sH52\nAznmm/38XC4Xp6sbubDrVwiXh47xdzHC6dRMuGD54c3Vbi6Ul5ejKG/Q3t5Oe+utCKWvj4oiaQ9J\nJs75KnVXNuEIzaW60smZNhWZDoKA4mHQc7SRyDGFUKdk5IUbmHL9AyiKws4XXchD/wJAYvKdBMrL\nOTixCXlIL3UmkFIlPrEJf0EBqqriLyggMv4O5LEfgYTouDvw9ZZBMyNQqlBVoZA2KEaq1CKDgSwl\nz4qMKIpCVVVVzjxxxutyETyrJRqNsq15By6nFwEcPvAJY3tVuKLC4kwb18y7ml1bdoMQXD3nqqy2\nS0uKmTXzEtwej0bQe9VMqUrS6VKiMS3notGPLpdyl0vJy6fiDeTfmY/4DvTOnSuklDz74svcftPc\nz6T9jo4Ompqa2LRpE9OmTWPVqlXU1tZmnbN9+3bmzZtnmdC4oaGBHTt29Ntv/KPQ6lgoFDqnyhhG\n2ATPhg0bNgzQ1Tzzx8kYZKH/HizJM55vbM+41u9tlWsvcOktvL92PUIIRjQuIh6PZ12Ty0Ro9BM0\nHzNCJznV1dUEg+/0UyBHjoaqqirOnDlDtNOQXFiAIqC8DBAdCKC0GNqPzae78n2qq6sZNXMhG175\nKQhwjCngleeeIJ4u4rd7PdxUE6HE72RPYjSTrrsvaz4mX3cve36suVxe0PjN3M8ESKsqaqoNpZeY\nSlWSallASytZSl4uFTMfKc5njrXary8bntmIM+4GAV3hToo8RbR0nWJ4yUgAVH+SBYtvRkrJDYuv\ny9mXkuIi5l0zM6ttnYzqhM6K3OnreDyeUe+MKt5AZM+s4OUic/nM1+eCfQcO4VAcjK8fa3l84+tb\n+M+X9nPF9IuprqqwPCedTltGUQ8GDQ0NPPzww6xZs4ZHHnmEBx98kA0bNmSdc//999PZ2Wl5/bZt\n2+jq6kJKSW1tLatXr2b69OlZ52zfvp26urqsfZ8WuYPPmeAZHKfrpZSPfp73tmHDho18MJppzdvm\ntdnHaCCT60DHzCZgI8Fzu904nU5OBWbjUBTGCkEsFuvXnhWx08ldPgJoPF/3SQsGg/3mpaWlxfKj\nHSiDygAgtLoRWoLhvuCUeEql+JqjVJRKnMq3tYuGwbAboPWdQvwOJ51jbqTAkDYFyKh4CK3CRi7i\nrUNRBI5eUcShQEWgv0JiRC6/S/N8DqRUGc325jyDOoId2nyOnFxNsl2rSDHr+pmZclpja8dm3Stf\nH/R0KLq6ayZ3RmJnNM9akbzBmGgHUu9yzZl531Dxmxe24HI5+Kvv9Cd4Ukqee20vKU8Vv3nhLf78\n3tss2/i7Hz3BHTdcyYUTxw/p3tu3b0cIwXe/+10Afvazn3HkyJGsc5YtW0Z9fb2lSqfDSNbKysr6\nkbeSkpJPldCZ8bkRPCHEXKBZSnlYCLFSCDFXSrnp87q/DRs2bAwVuYiemdzpprzB+NnlImZmgmf0\np3K5XAybNB+n00k0Gs1S2MztGsmaMeJ0MB9aVVXZt28frQduprS4jyD1zgDekesZxtA+2D6fj4pK\nPyNKowipoqpoQQ0Sdp2KcKjdw9gFC9i5cyeBQCBrXsqnLaC8d5/VGAYzJt1Ua76uoqIiM1e5SJ7x\nfCuypV9rtcy7dS6/+vg3tJ/qoMRXhhSShlkNHPjwIMJgjo1Go0gpM2TP6g+KSCSClBKv14uqqqx6\n8S1UVaXpxistyZ0VsTOSOvPauAyF3OVS9IbyfKywa98Bth2NowjJgYNH+6l4G1/fwsGQB+GEN3a3\n85WW1n4q3uGjx9n6iSS1btuQCd7WrVuZNm0aDz30EM3NzUybNo0VK/rivg4dOsTy5cvZuHEjq1ef\nvafIuaqcA+HzVPDqepcVwKHebZvg2bBh4wuDgVQ86EvCa1RuBoOB/O+M5jdzNKTL5cLpdCIBNRLJ\nm2fPmHhZ77dZxTP3S0drayuplluoH9ORUcNAywsnRZm2HVKBFK1BVctTN8A3SkqJ0+MnTQKnkLS2\nS9oiUDEcSr6hgiNF19FGpBrCHwlk+SZ1hFQ8nrczCp4VgqE0aSlAlZk+B9shEABVqrTuv5nSlNN0\njQpszgSFWM1FrrGYCY1VjkRVVfF4PEyeNZHmX7/KsKIi3F4X21/9gFvuuQGfz5e57snnXwfgG4sa\ns+5h3H567ZsAfOXW2fT09PDm3nakhOuv7s7kYDSbZK2WgUherijawUTOfpp4et02pGsYaeDJdVuy\nVDxdvRNOTfmKO0osVbwnX3yHlLOYbUe72bXvwJBIXkdHB6tXr2b58uUsWbKEpUuX0tTUlDHR3nnn\nnaxYsYLS0tJzGmd9fX2/3wcOHDinNo343AiezE57MA146vO6tw0bNmwMFmY1J5+Kp+dug/xm2qEG\nVhjNbm63G5fLlSF5ucqgGYmdTugcDgdCCFKpFO3t7TidzqzF4XBQXV2d8VMSQhAoE1SWiSyCB5LW\nEAQCAUT5ewgh8HpbOb5rPuWlHaiqyCTRU1VrU7B0eiEVJo0kEICKMq3cmaKkaQl2gISKMoHTNXif\nqYqKCuBNTaXrWJgxywYCmom2pU2ltFihqsKBqkpag2pvH6GtrS3Tz0Ag0E8BHUhpNe4zmmiNJCh0\npoOK4kqEELjcbohIPtiyk6av34GUknA4zGs7NYWx6YYwPp+v333C4TBv7NL6umBON2vWv0OPUgFI\nnmt+j1vmNJBMJvuRuVgsZknurEieOelxrrQon4dpVlfvcLkB2HIwnKXiGdU7HWYV7/DR47y9vxuc\nxUjXMJ4eoopXWlpKY2Mj992n+YUuXbo0Q+aWL1/O9OnTufbaawmFQmc1Rh3Nzc1ZPnhlZWXn1J4Z\nn3uQhRBiGrBNSvn+531vGzZs2BgKzH5fZqJnletLN9cOtn2z8mMmeEYFz0jMjGTOuHY4HJraZ+hz\nKBTCH/sK5WUOUEEkgAQEQ5I25yuZ+qzQm7RESqQh7bEEZO9Yq6urAY1cSfkS7SdvQDiyyVCoEwp7\nt1VVJa2mweHh+KkILUEYPkIjWaoKCKlnSsmZOy2XGVAIkVHhgqZvbWtQpa1dRaBkfgeDbQTKoKwE\nRHIB6dMKwZCKOuGNLJNtvudlXFs9R6O6K6XE43X3vTeAahjLyhffoltoJuiVL77F126f008dW7Vu\nMz2OcqSEp154ky0He8Ch1Yx790A31zR0IoTIqd7lCqqw8sEz5tQ728jZc4Wu3ulIO4t4av17/N9v\nawTvjS27GF6gADHDVYK1m97m3i8vAPrUOx3bjiaGpOLV1dVljau4uK+t5uZmVq9ezcqVKzP7AoEA\n27Zto6amZggj1e4z1GuGgvMRRTtXSvkXuQ7+zd/8TWZ79uzZzJ49+3Pokg0bNgBeffVVXn311fPd\njfMOK5+sXB+ys0noavWRNBI8c0SkWcEzKnnGRSeAxnQpuo9geZlCVbmiVadAV9zSpDGZj1UJmGyv\nEtR0iLa2tgwZVBSFKVOmcKZia9bYhBAUoKVeOXXqFHv37sUXDtLaCkKAy0vv9dqiqhIptWNSDaGq\n2QmKB+N3V15eDrzRT4VzOlopSfaa7kRfGTYtEMSRuU9bW1vWM9DJTnFxcc6UN2a1yqjo6svcW67l\n1x8/iSfhAyRpb4IbFmrJiaPRKK/tbEU4NNXptZ2t3N7Yk1Hx9GCKN/cEwVGJELB+60kcRSNxOXp9\n81yVrHvjQ+ZeNjGj2MVisX7qXS5fPKtceLly31mZjnM9l7MlfUc+Oc5Hh09Q4s0OPNj1USenT5+h\nurqS73/v3rxtGNW7TH9chaxcv33QBG/u3Lk0NTWxZs0a5s6dy5IlS2hs1EzoK1as4PHHtdSbBw8e\npKGhgcOHD59VsEQoFKKkpCRrn/n3ueDzjqJ9QEr5w95tyyALI8GzYcPG5wvzH1V/+7d/e/468wWB\nlcnW6pxzIXr5FDyd3FkRPONaX/TC80DGbJhOpzXOhqS3NoRG8kzo64d5v6bK+U0fdiFEVgqSVCrF\n3r17EUJoxC7yZcLtabzFIBQI9Los6eSur52+/VkxHEaOmcORX7tOobKy0pKIpU/nN4+npUr7oVsp\nlw4UQAGcEtpCKun02gH9rMwkXYi+Kidut5uLr7mQnev3IQRMu+ESPB5PJlCiU5Yi0lot4x4lwKp1\nm/nygi9l2tPNsQKJKiVx70jSrccoHTGud3IEO47GmT6xE1VVByR2uUy1QzHNWhG5T0vFqxkzipU/\n+vNzaqOzK8yiq0b1259OxC3/cMuFTZs2cf/999PU1ERjYyOrVq0CstW82tpahBBnHQnb0NDQb19z\nczNz5sw5q/bM+DyjaOcBjwkhHgHKgEWf171t2LBhY6gw+94Zoy3NH7Rc/nj52s6l3unkzkjsrEy0\nxm39uJ42w6je6f2SOlvSeAFWwbDBYJBkewdCP6cXrUHo6CnmYkOUq9WY9u7dS+STyygPCHwRSXmp\ndp/yMo28id7yZEFDXlhVhbbe31KVKK40iqJ1LhhSqajKTSryBcToz0kLqNBMtHqVDlUPyOgVMjU/\nPWfWHEkkPRZ+eVb+mVYET1dOp1/RwIEPDqIIwcwrZ5BKpYhGo7yxJ0gippkifQU+QPDGniC3XNuN\n1+slHA7z1r4QOCuRUpsbn9uB8ClcV9uJ4hCkkikSSSdd3T04HQrRaDSj4BnJ3lBz3w3FNDsYhfXz\nxKUXXcClF11wzu1MnTqVrVu35j2npKRkUC4ZVomQP49Sbp9nkEUzGrGzYcOGjT84DJXkDdTWQATP\nHEFrJHlm1U4nhPrHWYdO8FKpVO+NwUK4yyAQCNDSUopwZEfROp2SujGOnKZTI7kqDwhGVOpBGjJL\nqQMtuEKbL5AqtHfpwRZwJgjxYb/iggsuQEpJZZVKeXn5gAqS2U9S39b86jb3jqENkVyAUBw4FLLG\nkhkH2bxXnz8zuTPew2y21J+jEVffOCurnF0kGuPCkjCHtn4EQN300UyYPAFVHUFPOIyiKHT3hLll\nRkXf+5FOk0qnSacrqR9Tjdfjzphko9Fohtzp68EkOB4o791Qfe3ON7mzkQ27koUNGzZs5ICVefbT\nIHlmcmcuj2U0zerbyWSyXxSskeDpH2pjn/TAi2QySbBd7fO9601KHAxJikv6Pt6KolAeUCyiaKE1\nlL9W72BNX4oCVeW9QRYSHC4AQVW54NQZSdgfoLKyMmt+cqlEqqpmomEh25ewsrISh8ORZbpt2UtG\nHQSNhAXbjay3j+IJ+qeeyZUWx2yiN59TPaI6Q/A030CF1IluxpdXA5L4iS6mNtXjdrtRVZVEIoHf\n52XGJRMtSX8ikSASiWT53BlJnpWCZ06TordlfHf0d3EwARbm98Amd1882ATPhg0bNvLgbEmelLKf\nkmNWe6wUPF2N0z+8OoHLRe505c5YUgo0kqEHXxQWFnImvpyubi8ejwePx4Pb7cY30pWVXLhvDNlS\nX1qFUKdKf8+mwSEYIsOd9CmRvQSvowuE0GJ2g+3g8VnPkRXBaG1tpePQbAKliul+KvBGJuIXegMx\nJr2dRQJVVaW7az9j/Pf0M2NLpGWeQeNiJjhGomd81uaUNi89uxF33ANCu6Mr7mHDsxuZf1ujJeE3\nkjtzvjsjoTMSPCs/vIGSGg8UXGGETe6++LAJng0bNmwMgLMheUAmwCGXOU9f9I+ssfSUTvLyEbx8\n5M6cNqWoqAifz4fP58Pr7SN65iTIilBwOA1VAQQIJc3wSS9mUpJYjdkKwXZNqWvvgJIijcy1tYMQ\nRYQ6uigtLaEi4KCsVCtqKxwqgUBgwPky7guUaHnurJ6Z2YxsDsRoaWkh1fY12gs7sizXUpW0d5ZS\nWCiyyJnRp9FI8vT3wKjw6futklKn0+k+MqmdTCqZIhaL9TPVW0VVG4MmjIROJ3nGPHi5gioG8r3L\n539nnmcbX0zYBM+GDRs2BoGzJXlWEbhm9U5PbWJWb4wmWDOxczqdWedmkTRD0mOn0zlgCgwjgh2q\nFvJqQKgTRo7JTl9ilR8QoC2om08lqV6VLtQBUd+vGXfRuIzDueL4ChPqHCiKQNJXO9YcLGE1Z8bf\n2g/r52UkYnrfdbOuEIK2tjbqxggURXMMVIQWxnumQyVdsoqKioqsJMY6udNJsZUvHmi5EPVjxj7o\nY7tizmU88/Hz+NUCACKOMLO/dCXRaNRSuctH8MyJjY3qnZnkDZQSZbD57mxS94cBm+DZsGHDxiDx\nafnkWX08zWbaXFGzurJnDKqwCqxQFCXrmsF81CsqKlCUd7Jq2AKMHEVG/TKrYkZMmjSJfeJdIr2/\nC4q04xfXwOTJk2lrayPVcjMlxRJ1TEcm2XGwHVqDZSgKVA/Prdzl8wHLnuC+lC9GYiWlZN++fQQ/\nXkBpsUKwQ6W0KER5mSBQInG6K3AoTiQp0qUVmQofuRQ8fQ5y9cnss2d8V+qn1XD0nRMAjJ0xCim1\nurRG1c5I7lKpVFaSYiuS9//aO7fYOK7zjv+/WS4pUiK5F5KSc2lEKnLQXNzoYiRCX+JIchK4aYBI\nVJAUDVwhsp23Nkic+iFAkIfGUvPSl9aRXCABgqC2pKIoWjewqCJvTRGZCnJr6wvlpLVjLbkXUha5\n5O7O14eZMzx7eOZCilzuLr8fMJzLzuXMzO7Mn9/5LlGD2k632qmkxlHWO/N7GzUvtBci8ARBENbB\nRkSe2W0XJe5Ut6op9NS03pWrv4wVSoQoy11YOgx920ajgbm5uUBM6oyNjYVa7kx6enrwoQ99KFhP\n30aRzzoYG3XguqvdwOQ08Pauf0U+n7dGzYYJPOU3x4YJj7Ha7a2uBzNjdnYWjdk/xoH3eFHCuQwA\nBioVz+dwb3Np2ibLm2nBU/fVtGyFiU9TtB78wHtx61evgxmYeN847t69u0bYhVnwTJEXJfaiUqNs\nRloUoX0RgScIgrBOokReGLYITN1PS41NsadewmpafZZOp61+ZqprdmVlpcl6ZzrW6y90L1jhoaCs\nl3JIK8+7uO/3f4QPfvCDQRvVcWznqvzQCoWCVeAF3dYAUo4TyDLHYYyMjGBsbMwqMhqNBgqFQiCG\n1bFnZ2cxUGWoiFhFscwY2L0q8HRRls862Jv3ooQbLgBmpFL+tHdX1rTbFHp6N62691GJgc3l6tof\nPHIAruticXHRarnTrXe2yhNhFj1b1GycsEuS2LgdeOHpp7Hr9u01y/sefBB/+IUvbNpxKpUKJicn\ncf36dRw+fBiXL1/G+Ph40zrT09M4ceKENc8dEJKKh7zSgUNDQ8hms5ifnw8+m5iYwPnz53Hq1CkA\nwIEDB3DhwoVgfr2IwBMEQdgApv+ZLvrihJ5aRxcJat60EqkhlUpse5rNAAAcZUlEQVSFWlpUO8zA\nCv3FbnvB1+t13L59GwsLC1goM1IoIutbtfJZIDdMKL35KRTGXsK+fftC/e50CoUC3vjFgxhpimwl\nFMsueu97AYPWrZqvqSkwCoUCFm593AvG0Ni16OLtXT9A36580zXv3edVHKjVak3Rq/V6HWl1LHU/\n/MjeuTIDjguHvOTIGb+AhU3c6d2+5r1NMihxtXtwNxqNBu7evdt0b2yBEGFCL8qiZ9adNXPeJbHe\nmffFvFebyRu3buGXzzyDXsOKvFyv4+hXvoKRffuwJ5vF4N/8DVLa9S/19uK+Rx8FgOAa2ejv70/c\nliNHjuDLX/4yrl69iieffBKPP/44XnzxxaZ1zp071yTQbExPT2NiYqJpmap8QURNnz/33HOYnJzE\nzMwM9u/fH/o9S4oIPEEQhHvAFHY2kaeWmyLBFHlK2OlCzzbYxJ3ejahy38V10c7NzYFKn8W+LLD3\nPRUQAamU5xPnOISRHIGc1ReMss6Z5wesduUSEUayemTr6vZ3vC21v83XMazr2nVd5LK0uk9t4/l0\nBtlsdo21SZ3jWoHHwfZeaTTvPrz22yGU6CJyuRwwjEAAKWzWPDOSVrXZljzYFFZmMEVU92wSa54p\n9kxhF9ZFHxct2ypxBwDv2L8fN375S9x382bT8t8cO4a8XxLv2NmzeOGHP8T4K68En1c/9SlM/MEf\nAAB++sILePPP/xy7jH2/cfAgzv3oR4kE0/T0NIgIX/3qVwEAzzzzDF5//fWmdS5cuIADBw7gptFW\nk0wmE1vKTH1+7tw5nD9/PhB494oIPEEQhHvEJuxMa5fuN2ZGVZo+fLrYM4VOlLizWe/iRN5YjjCa\nJ3CD4JDXXWmijjE7O4s3fn7UmneOHrjRlHfO33LNvoplF4zmUk3FEqMnVUCj0Qjy8pmi1ru42jX3\nPe/Uudm6FE3hW6vV0M+Ayxz06rrs7XfiXQsYzT0GxyGAgeLrLpinAp9A83qYqPukJ6s2hZtN0K1H\n4CUVenGW2yQpUdQ56WNzerMhIux99FGsTE+j17/GSwDe+Wd/FlzzdDqN7Be+gMY3v4kUEUq9vbj/\niSeCfXz005/Gv3zve3j3T34SLKsxI/fFLya2ht24cQOHDx/GE088gampKRw+fBiXLl0KPp+ZmcHF\nixdx7do1XLlyJXJfcddL//zatWuYmZlZY/HbKGs7iAVBEIR1E+dUHzbYuu+SWHfW82K35TwL0qsA\nhnBaHcCMRr2B27dv46233kKhUEBmGBjJE8ZGU9g72oO9o6k1gs8vl6Htk9FwPVHRe9+/4fW3v4+X\nZxqYK7p+EmTC8MpnMPvff9jka6d3Z+r7YmWFYwTRpWHRo6Y/WrHCKJQyuF3MesPcMErzwOhoDvvG\nUtg7ksLeUS83X1hEqTltE3dqMKtNLC4uNg13794Nxmo6blBVK8ISG99LQIXt+xv2Hd8KPnL6NN44\nfDiYLxw7hkOPPNK0zrGzZ/Hb++8H0Gy9AzyR+M6zZ7GktfX/HngAH/n85xO3oVKp4MqVKzh69Ciu\nXbuGXC6HycnJ4PMzZ87g0qVLyGazsfs6cOBAk1X+4MGDwWfMjCNHjgSffeITn8CFCxc2xXoHiAVP\nEARh09Atefq8Pratb+vyM/3zzOhWoNlCVavVmqx3ejWMqKLyCtcFnBQC4eS6DNcF2K3gzV99EkPL\naVSLDfQPl9CoEZAeQcpJAfDy2M3OzoKIUCgUMFCvo1bzkz2nHLgNF/WVIqrFR7B31MHSsot375/H\naA5I9azm13OcOhohItdr1mr3KvtLlIBLYt0cGBjAfO05zLJn6XQcB+VyGcP0KMbyKW2/6pqsiqF6\nvY5CoRAIOV14Dw4ONi1X19yWe852L6Lm45bHiXnzfidNaKy+n/p3tRXoVrwGmq13CmXFK377203W\nO8WhRx7Bvxw7hvf85CeoMWPsi1+0BjyEkc1mcfLkSXzpS18CAJw/fz4QcxcvXsTRo0fx0EMPoVwu\nx+5ramqqySKXy+WazlX/fLOEnUIEniAIwiaSVOTZfPdsIi8Mm9+detnr4i5s0H3MHMdBgzJwXe+F\n5brAnP/uqixYz9IL/HAcAJ6l63e//iQGqz1489UaMnvKa5zsyhWv7uze0ZT3kev5+TXvdbWrU7eI\n1et1FEsuAnOjv++5UgPLqeWgAoRpbbN1X+/ZsyeYVtcs7zggx78PmuVRXSsV6OHOfcazVjoM9HpN\nmSs1UCz+Pfbs2dNkvbMFOuiW1yQibqPz+nXTr2NSYae+k7bpVvCR06fxz9/7Hpy+PvyRYb1THDt7\nFlfeeAMPadY7RWDF+4//wFsPPIBPr8N6B3jRrPo5Dw8PB9NTU1O4cuUKnn/++WBZPp/HSy+9ZBVo\nExMTkcItl8tturBTiMATBEHYZKJEXpLtzOS8tu3UOvV6PRAqSQf95V8sul6ZWJfALkAOoVgGnFQO\nlAJctwhulP3PPXHlEOA2img4o74VD8gOe0EQrsuYKwKpFKHhAuRXiYBTtHTlaufuqzZbFYehoSEU\nqs/hf5eMLma3gcHdu7C0tBTanWoKPH3o6elBtVoF+jkQdwwGPDe8QJwxe6laRrIOxkb87mf2u4vZ\nwe3Z6GoTtjqwYZa3KBFn89szp23BHWGBOnHdz7b5VkBEeMfZs0j19YX6zaXTaXz+W98K3cehRx7B\nP330o9h3+vS6rHcAcPz4cUxOTuLq1as4fvw4vv71r+PkyZMAgEuXLuHZZ58FALz22ms4cuQIbt26\nFRpIUS6XkclkmpaZ81uFCDxBEIQtIEzk6dNxL08VkGFC5NUzVdY7XeTFOevrgmBoaAjLy8+j0tOP\nO3fuoH/xTzA24mBslDA64pXtcuteZO3eEUK9znh5xqsny8yg1AoIhGK5gexwD1zXSzGSy3oRuK7L\noJR/zg2C41iiZ1c9/gDGmvar3H1DQ0NWQVStVq2+ZQoVRWsTd6lUCktLS5hbbKxa7/zLPVdyUR/y\nxBrgBXMgzQDTart9kWcTdrpfoK1UmH4upq9cnFUuLBpXF3Rxee5McRfWNbtdPLjB3G8KIsL7v/EN\nHPzwhze0/fXr13Hu3DlMTk7i5MmTuHz5MoBma974+DiIKDJK9siRI2uWTU1N4eMf//iG2rUeROAJ\ngiBsETaRB0RXg9DX1eunqu2A1VqnSuTZgjJslh9TODAzstksBgYG0Nvbi939DsZGU4HQqdcaQXft\nW3OMV24Bw4NA1n/HEXmpVRp1oFgexFuzhNm5Ihp1AMH5zYHZE4V7x1YjiUsloNFwwVQH+cqvVGH0\nD7hN1jBbKhCbKNIFjc2CZ0YZq3E6ncabd/4WhdmewC/PcRw4aQf5gQFUq1UQkSf0ejQfPV4VeXHl\nw2zVJEwrXljUbRLrXBJRZxN2NnHXTbxPC9ZYL4cOHcKNGzci18lkMoGbgw3dx9VGWIJkxauvvhr5\neRwi8ARBELYQU+SpZUC80FOpUtQ2utCzRd2GCYQ4P7xarYZCoYBaoY7Zktdl67ou6rUK5srAWB5w\nG4zsEDA6Auwd8dKLOOTlkiMCypU7cOsACEE+PWZvHuyt9z8zDTAY9ZUiGi7w8gwAh5HPMsoVF337\nfoh9foLiqCS+pkiKE3jKgqdEnlnft6+vr2m5WleJOyLC8vIyuN+z4Jkib2VlJageEhXJawZehPnk\nbaTbVS2LEnRJxN12+t4Jm4sIPEEQhC3GJvLUcmBtHjwdJfJ0a4ASeEkseElE3uzsLPas/Cny417Q\nBLMLt15BuQLcuQN88H2eqGPXE2qOA8BVbfHGlTtAseItz2WAESODRKMO3O3/Ad7elcdy2YumHRtl\njOYdOER4a7aOhd5MIDijSm+FpQEx/fDUNdfTVNgEnjmtizzVxbu4uIg517N66gJvruyiWq3CcZzQ\nVC1R3bRhAm8j/nRR3bDtFCkrtAYReIIgCC1AF3O2z0yRZ0bcqrFujYmy5IUNNstRo9HA3pyDfX73\nrMsu0CCk056UUaKOInzViYDKQhbDQ2Vf9FHwgeeLl8X9fu6y2rKDvaOOFhTrnZ8p7KKEkll+SwWN\nJBF4tq5afdom8NLpNF4tfwevlJpz3tXrdezalcbS0lKTGA1rc5jIC7Pc2YTdRgXdesSdiL3ORwSe\nIAhCCzFfnFGBF2Z1DF3U6WXPwhIkJxF3KojBOxCCLlWFY6ls4brA7TlvOpXy/OuCNjtKEGpClhDk\nkvO6nLlZ3PmZT1RiYDWoBL56Il+bwAuz4KlrqPvhhfnimeJO79JV++jp6QnuQyqVCnwhq9WqVZya\nlkdbN21YpYkk0a/rEXbqeyTibucgAk8QBGEbsUXXqmkbStzpVpxGoxEIjrBAC13k2cSFbklzXRfO\nmnhXj2IJmC0BYCCfBRoNIJ/xAi/K82W89hvfZ89tTqLMbgUvv/wyDh48aBF33liJIFWdQa/SoMa6\nwNMFqi6KTL8yvR6tLtxsok7N6+uq7fV7FpbY2JYiJS7QwhYsYgrWJD51cZa6sLH5fRS6AxF4giAI\n20yYyFPzCrNWrd5Fa0sOHCXsdEFSq9Wgm+3YEHdF30LnukB1GajMA/cf8ESdSjHmkDdM/xwozK09\nx8oC0HC8tpVLq4EQSuzNFRuoOlX09PQ0leDSB1teOZsFTw+00PMK2rppwwabwNPvke1am0EhYd2z\npvVxI+LuXoSdOW2bbxVJ68MK60cEniAIQhtgE3k2Xzxd5Jk+eUl88Uxhp4TGXNEF/PQobsMF+elR\nShWv23W2DMzPA/Ua8N8zwPj+3SAnjQa7IL7jVzZnDA7tgeO87Z0UEVK+AGQwhoeHkclksPTOH2HB\naMuys4z+/n4sLi421W41a61GBVmEWfCUuDOjaU0xFybu1KBjXu8w8ZwkAlj5D8blrtsMYZdkvlUw\ns6i7LUQEniAIQpsQJfLUsjBhZ+ZDs4k8U4AsLy+jr68Pu3fvRmnl71GtDqC/vx8LdxdQeOVPcGfh\nDj78ASCvymf6OmB8PzA/fxfv3gekNR89coAe522M5LyoWyXwGEDDBX5X99qTzWabLFzVahWpVCoQ\ndUrYqXFUNGpSgWda8HRRZy6zCTzdgqfuhc2KF1WqLMrvLspyZxN55vdBzdvGeptt3zmhOxGBJwhC\nx0FE5/zJA8z8l9vamE0mqrtWLUtiwYvqojX9xHp7ezE4OIjdu3ejv78fRIT9h9KYLQ5hJLfgiTV4\nue/UuFTWUqbAi6J1HEBL9O+1d7XhTd2YZjCFLu7MLtowgaf74OlRtGG58MxAizhhp6Z1C6B5D5Qo\nC+sKj6pgERZQEdctq7dBTdvG5rTtuyZ0LyLwBEHoKIjoOIApZr5FRM8T0XFmvr7d7dpKbH54arlp\nxQuzKunds+l0eo3A04MLarUaSgu8tq4YPD87ACjPe5G0usBTvnrFsmq3KrXGmCsByz3N0aW6iNOt\ndrau2SR58EwLnumHZ3a52sRcWPes7sun9ht1vW2iLom426jVLmo66vskdC8i8ARB6DQm/OESgBl/\nuqsEns1yZ34WZsVbjwVveXkZ6XQa6XS6qbtyYGAAi7iMX/ziFzie/Yvg2KpyhUNAaX43ipW7yGcJ\n7DKIgGwGGNwDzPzvMIoVRrX/75DJZLw2OHX83rvehaWlpSaBFybs4qx3GxV4tq7aMNEXJvDUfbBd\nc+WPZwrrJAEVYVY7/XgbDZgQUbfzEIEnCEJHwcyXtNnDAP5hu9rSCpJ009rypemiwxR3PT09WF5e\nDhL8msl9iQh79uzBvn37/COuHt91AZcZuWwKo3nC3jzBdb3PXWbcLg6j/x0/RDabRSaTCbovTWEZ\nZr0LS42SROCZFjBT4NlEnm0I878LE3g2kRdVOWQj4k4/pr5M/06EfX+EnYkIPEEQOhIiOgzgJWb+\n2Xa3pRXYummVIDDTpYQFWChxZw66sFPHYmYMDAxgbn5oNdsxAQRCab6OygIwO8dwG7olCShVGHvG\n9mBwcBDLy8trAg9MvztT2JlWu/V2z9p88NQ1swm8OLGnb2MT2rbrbgo9fWwGw8RFyur3XnzshPUg\nAk8QhLZDC6LQKTHzVW3+ODM/1ao2tZqoYAtbt52ty1C34Ckxt7KyYs35ZosQ7e/vx7z7fSxVe5vW\nRx54T9ZFaWEBpflmITE0PITBgQEsLS0FIswWWBGX0DisGkRcgmBdLOmYVrgwkWebNq13+nWKEnlJ\n68kmsdzpY3PabJMgACLwBEFoQ4xu2DUQ0WPM/Nf+dNcGWYQJO6DZihcmNOr1OlKpFGq1WmRCX1O8\n6EJl165d6O3tXeOnR0TIZDJBu/TjLy0trckNZ6vRqos5m+UurMRXWAWLsC5adb3CRJ5tbBN3UV3l\nYelqbOMkOe7M+71enztBEIEnCEJHQUQnADxNRE8CyAE4vc1NaglRVjzVTat31eoWPF3khQUPqH0x\nc9O2fX19QeRtT09PaF44XbCE+f6ZVrmoISxJsM1yF+V/ZxIm8KJEnX6u+rXSr5l+/kkHc1t9f+Z9\nNqejlgkCIAJPEIQOg5mn4Am7HUGUFU/N27poiQj1ej3Wvywsea/ut6fSqOgCz6zsYAYcrKdGa1h3\nbJKo2TBxZ7OC6SJtI0PY/TGvvyn09HlznbhuWds9j1suCIAIPEEQhI7BFHtqmRlwoSx5SmglEXZh\n1jeVRsXWRRsXUWrm34saoqx2puXOVns2TODZrptpkYsTdebYvP5qbLPK2cTcRrplbccUhChE4AmC\nIHQYNl8813WDeSIKrHhJrVJmgIYKjtCtdxux4KlBF2tmCa+ouq16HrmwaNQ4a5iOTbSFCT7b+vq0\nzepma0uYoFuPuBNRJ6yXlgo8IjoFoAJggmOcqAVBEAQP3QIV5YtnWvF0kRcWDWqzvilRpSpemOlU\nkgg8W5oWm9ALq9uaNEGwaSXTzymMMJFnm9bH5rR5/c3rGSfm4rpmbfOCkJSWCTzyclaBma8T0QQR\nHWLmm606fruw8OavMfSO9293M7acH//4x/jYxz623c3YUnbKvRTag/X44ukib2lpCQMDA6jX67HR\noKY4U4EVeiLkVCoVCEZzH2GpQsyqDrZarWE1W9X2i4uL6OnpibTc6QLPdo0UYQIubmzuI84fMkzQ\nNRoNOI4j4k7YUlppwTsD4EV/egbACQA7TuDd+d1/7QhRsBME3k65l0L7EeWLZ3bVLi8vo6+vL3E3\nremLZ6t0YebNU9tGJf0Nq4trq9uqUqDoAq9araK/vz9RmhHVnrjrp9ZJIuzCgiz0ferXUJ+2zYu4\nE7aaVgq8DICSNp9v4bEFQRA6niRWPDU2uy6V6FICTQVfJPHLc113TQmvMIGnLFSmNdAMuggbTF87\nWzDFenPIJb2utjFgt9aF7Ue//rbpsPVtywXhXmh1kEX0v0AboLZU2exdbimNlSpW7pa3uxnrohXX\nuNPuI9B597ITr7GwPkxfPZvlyLSypVKpNctsIi6VSgX70ruA4/afpJJDknxx5nGSWMXMaWBtgITp\n22hbP2wftmPETW9EgArCRqBWfcmI6GkA13wfvNMAxtnPRK+tI994QWgzmHnT/zHbSuQ5IgjtR6c9\nR7qBVlrwngNwFMB1AOMArpkryBdAEIR7RZ4jgiAIgBO/yuagImaJ6DiACjP/rFXHFgRBEARB2Em0\nTOABXgFxZr7OkgNP6DCI6HzEZ6eI6DgRnWtlmzabmHM87487+hwFoR2I+q0JwmbRUoG304h78XeD\nMEhwjh0vDIjoMQCnQj4L8jv684da2LRNI+ocfc4R0SsAXmtRk4QtoFOFRTc8KxUJfmsdARGd84en\nt7stgp22EXjdJhTiXvzdIAwSnkPHCwNmvggvd6ONMwBUKK3K79hxxJwjAJxj5oPM/O+talO70C0v\nsk4VFt3wrNRJ8Ftre3xXqym/N27CnxfajLYQeF0qFOJe/N0gDJKcQ7cLg52S3zHn/wP2te1uSCvp\nphdZBwuLbnhWdhsTWL0PM/680Ga0hcBDdwqFuBd/NwiDJOewE4RB10dtKv9ZAPlOFjkbQF5k2083\nPCu7Cv95oHzpDwP46Xa2R7DTLgKvW4VC3Iu/G4RB5DnsAGFQAZDzp7MAitvYli3B755UXXtF7CCR\nIy+ytqEbnpVdh9/79pJkxWhPWl3JIopYoQAARHSSiI6r7tw2Ju7F3w3CIPIcfH/JEjNfxaowaPf7\nlggiyjBzBQnyO3Yq2jnOALjhL86ji84xKZ3wIgvxT1a/v06mG56V3cpxZn5quxsh2GmZwIt5+HSj\nULC++LtMGMSdY1cIA7/yylEi+hIzP+svngJwlJlvEtHRTs/vGHOO1/0gKACY69RzDCOhMGr7F1kX\np5/qhmdlQMhvreMgosdUNaoOMbrsOFpWqiyyEV5QxVFmvuR3wV5j5p8poeC/PG8w87wfyfYPnfCS\n8V8cMwAmNAvkDWY+GvZ5p5HgHFXX3jgzf2ebmikIG8Z/kV30pzv2ReYLi4sAnuw0YdENz8pugohO\nAHgenmtVDsDpDvKP3zG0hcADRCgIgtB+yItMEIROpW0EniAIgiAIgrA5tEsUrSAIgiAIgrBJiMAT\nBEEQBEHoMkTgCYIgCIIgdBki8ARBEARBELoMEXiCIAiCIAhdhgi8LsJPRrtppdyIaFhLT2P7/NWt\nOG5Mm1p2LEHoZojotJ9XNOzzyN9/zL677tlBROeJ6EUiukFE45vZNkHYCtqpVJlwj2xBSaI8gM8B\niNxvK0shdUHZJUFoF+JyZCX6/d/Ltp3y7PBL1R1i5of9xPzfBfDwpjVOELYAseB1Eeo/ciI6TkSX\niegZ/7/Nc/7nTxLRd7X/Qk9p231N248qL/Z1ACeI6LP+8gwRXfO3fz7kuNeI6HkiepWIvqYd65C/\n7nf9eX3ZiZD2TujH860CgdXB30bt/3jUvgRBCEf7nb2oWd7M33/i365l205/dpwA8CIAMPNNeKXT\nBKGtEQted6H/Rz7OzJNENAzgJQCqvM9+Zn4YCLpJriL8P/mnAWSZ+R/9+acAPMfMz/oPWFWySd+e\nmfmM/5J43P+P9xSAzxHRg/7nR4koA69O7Xsj2nsKXom6p/yHcE4dyxek/8nM3/G3uYXVesZh5y4I\ngoHf3fgMM1/1LVVPw3suBL9/InoM6/vtdtuzIwfgpxu/yoLQesSC171MAQAzz2vLWC33maFoXxIy\n5g9p+70Zss20P56HV3oOACoAMgAOA5jw/4O/CKAc096LAIiIXgQwCa9clOIAgJuWbcL2JQiCnRKA\nk0T0DIDHtOX67/8I1vfb7bZnRxHAhDafCTkHQWgbRODtLAjASW1+gplv+dN5IKi9Gca02t7/T1/f\nb9xxAe8/4mlmPsPMZ+DV+IziDLz/+h+G98DXXz6vwXvog4gmEO9PJAiCnacAvMTMTwC4ErLODazv\nt2vS6c+OKaP91xJsIwjbinTR7gyaHmD+f7U5AE/6i6YAPO4vn9bWLwE4TESf9btavg3gMhFNwvvP\n+jXL/lkbN00z8yXfH0Yd/68s6+r7uOEfr+Ivm4RnSWBm/mtjX5Mx+xIEYS0MTyydJ6KT8MTQOBF9\nGMDrWP39r/e321XPDma+SUTT/jYM4PG1l1IQ2gtilvffTsH3Pakws/ikCYIgCEIXI120Ow9R9IIg\nCILQ5YgFTxAEQRAEocsQC54gCIIgCEKXIQJPEARBEAShyxCBJwiCIAiC0GWIwBMEQRAEQegyROAJ\ngiAIgiB0GSLwBEEQBEEQuoz/B6F6B49zAbg+AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2] = plt.subplots(1,2,figsize=(9,4))\n", "\n", "m.kern.plot_ARD(ax=ax1)\n", "m.plot_latent(labels=labels, marker=marker, legend=False, ax=ax2)\n", "\n", "_ = legend_to_the_right(ax2)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ExOTGocWIvdNnT7Bf+hJJktjh+Vj17u0/vIujrq8BcLb1RXn3NmxfwcV2mwl0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9MplKcSn8KoFy6I52Eg6Fs+qSxYgBx/v3JzVvHnUNDdaWj15tKYQgnohnovCVK2y4HRCYeiTa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2] = plt.subplots(1,2,figsize=(9,4))\n", "m.plot_latent(labels=labels, marker=marker, legend=False, ax=ax1)\n", "m.plot_magnification(labels=labels, marker=marker, legend=False, ax=ax2)\n", "_ = legend_to_the_right(ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bayesian GP-LVM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we show the new code that uses the Bayesian GP-LVM to fit the data. This means we can automatically determine the dimensionality of the model whilst fitting a non-linear dimensionality reduction. The approximations we use also mean that it is faster than the original GP-LVM." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "m = GPy.models.BayesianGPLVM(Y, 5, num_inducing=15, kernel=GPy.kern.RBF(5,ARD=1)+GPy.kern.Bias(5))\n", "\n", "m.optimize('bfgs', max_iters=5e3, messages=1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3lsnPSncwqAkLpVur/FAIBlGxJxLXjEAT6W4NZbje89R7vo2NjXh79SZs+OYk\nziEZLY3RWPTWxzjeGo/oqCgkpWaovgsiZQfynES7so0ELxEZSOwRBNGjUVrijLpyRSx6WlY+LQuf\n8kNoJBAA7W6+UH40AxF8eqJB7m9GJIkKOJGu1VB0uQYr7AIRetK5qakJb73/yQWR1xSFE/s3g8Um\nIa7PFYhyMLDzx1Sfmda4OK1nJHItKgSN2p3G7EUWEnsEQfRo1ESelqVOayKG2S5do+5cI+EAiI/b\nCwa1vLREiFqdRESCiCgTtbaZtcoFIv7MHso8lO2g16ZqbQwADICrrQ2nT+5Gm9sCx4CrwJinHFdb\nK9xtzd54HcW6cu9c5fPrUJaAwDNrTdXyJyIHiT2CIHo0SsFlVsAZpQnUuqf3QdRyS9ehQk/syd1a\nAtRI6HW2eDMr4IyEWiBlqD0/kbPkdjgcuH/GLfhJTg3mLXwN235oBbNYwV1taKypBqwxQHOd7jMN\nZEauMm6oD4uFJmhEEhJ7BEH0aEStenrCzigsUOuekeBQc4caPcFnJPbkbrMf/mBEWjBpwnloPS+t\nZ6jlbmxsxLvOr9Ac1QfxyRxHd25AdPwliB8wGszCkNZWBws/DY4kv7TKHTXUhJyWO5RtrhWHiBwk\n9giC6NEoBZiWQFMTd2qC0IzYU+YlfQi7i9iTu0Ml9EQEglbe4RZ3wd6TXjsZtSvgGa/35qqNKP/m\nJGrb4nDm6DE0NJxFXL8RYHABvB1wW3D15el48L48NDW3gDHWYd09uZ9auYE8S5HxkiLtQ0QGEnsE\nQfRo9ISemrjTsgSGoitXdOweYCwW5Cg/7mZR5msk9uT1C5f468wjFPej1jZ67afW7pJfe1srao8e\nR2s70GvAFbBYbWiqPQxmjYIjmiFjWBocDgccDofwc9cTW1rPO9hD7YcMERlI7BEE0aPRE256ljqt\ndEbduWpnM2IPMB7gHw7MCj4jUaAXFqgIM2NREilfGSeQNGYEnp7Qk9JzzuHiQHTSYFg5A5gV3O1C\n2/lT4CmDwJgFvXs5dJ+j3qxc0fqH6rBYjNfZY4zRVN0QwTlXbWgSewRB9GhEul+NBJvabF2zY/ek\na+kDKCL2lG7pOpxoiT6juoVK7AWazkw+yjCja9G4Wu2lbFetNm5sbMSWr3fh8Ik2xCb1BmCBmzMw\nqxWO3kngZw8jikcDPFVX1MnzFXlfQtnuRpNXtKClWYJHr41J7BEE0aMRGWdn1M1r5hCx7GmJPUDc\nqicq+kR/NH1cAAAgAElEQVQEgZG/noAxK5i0/EWEm9RWInmIlK/lFvVTc+ud1dqbMc8uGdJYvbMs\nAympLRidVIPDZ6NxqrU3Wts5oqNjkNw/A7+YEIX0If11n6mUr3LfXDW33jMN9UFEDhJ7BEH0aIxm\n4YpY58Il+ETEivysdIcTozqICie526y4CzSuiJ9ofc3co0i7yWlubsYb75V7RB6SwVgKGABbdCxy\nJl2F68dfibfe/wTOqmPonwR8d3wflqxqwCO9eyNj2BAzj1NVZCrdanHMHCLvNBEZSOwRBNGjMRpn\nJzopIxDxZzRZw4zQ68yPpZEQ0Kqnll+gQk4kvjLczHUo3FptpNemomkcDgfuueNHaG7+GBu/boEt\nvg/gdgEGrwJj6l28emUG8mzMHkTkILFHEESPxsxEi0Bm4qqN5xOZnatmCQH0xURnoWWN0hM5Rn7B\nijs1f6Wf3rVWmFYcM/cp2k7KcLvdjgdm3IJ77mj0bJH29QmvhY+hpaUFS97+8ILVz56GKO1HpomR\nAA302SnfXaPrznqHOec4e/YcEhLiQ5pvbm4uiouLMWzYsJDm21mQ2CMIokejJuKMLHtGwlB5bTRp\nw0w3LhB+q57WGmxyAhF80llEiJkVfXrXanmrhWvloRfXzFnLT6tdJRwOBx6YcQvuvdOzL+76r4+D\n815BP3fGLqy7Z1Q/vXuRX4sIP71nGizNzc2IiYnpkB/nHB84N2PVpl2YOKo/Hrj7tpCU53Q6sXz5\ncpSVlXWaYA0HJPYIgujRqAk1kSMUlj4twaf3gQTCI/ZEZjtqCQAtt5HgC0b06aXTcovGU6uryH2Z\nDVNrUy0YYz7Rd88djWhqbkFyUqKq1S8QROpk5vnoCT01K1+ws23Pnz+P19/dgA83VmHFK0/BarUC\n8Bd5B87FwWpLwqQobRvoyVOnsbZ8C36eLyYGq6qqurXIkyCxRxBEt4UxNh3AGQD5nPMitThKoSUi\n2owsfVpWPblba8ZvZ4u9QD6yRtYdo7MZQRYqoaeVRi2Onp/a2chPJFztWstfvmCyJADvvv083n7/\nE2z45iTAk1XzMUKtPvJ2MIojIvSMnqtZJJFXVnUMZ5EM2Dz3ribyrDqK5uSp03h91afYtL0WfeOt\n+Hm+WPmPP/44AGDZsmUB1b+rQGKPIIhuCWMsG0A253wOY2wuY+xqzvk2ZTw90SVi1dPqAtYTfUbd\nuFofS+996Z5F0BN4RgvuavmJiL5QCD69eIG69eqpdjbyMxtXD614yufkcDhw/4xbcLfX6hcsWqJO\n7hYR5noCUOk2g1LkSTOVpVZxu904dqoO9U0cFqu+JU8Sec3WRMCaCOCcqbr0BEjsEQTRLeGclwEo\n814mqwk9QH3pFVHBp9ctKxd4ZsfsiVhAzAqIQASeFkYWKVEhFYz4CyY/NbfeORA/M3G00IvHmPqM\nWofDAbvdLpS/2TLVws0IPS3xZ7SDhhr7Dx1B9dF6nGuPBYvqmNZqtWLWvbfj53c14Y13N2Bd5VHU\n8yS/ct5e+SHeLD+Etui+XpF38UJijyCIbgtjLAHAbADzteKoiS4zos+shS8U4/X0RIkoZsWfWhmB\niD6RezEj/AJ1K/3U6mvkJ+oWwWz8cO4oodXmyjhaz0dP2Gm5zd7PmMsvxcLLL8VXVduxomwbvv7B\nDUTFdYhnt9sx857b8LOfXhB9nPcCABT85GY44j7Dqk27cLihFyy2QOYz9wxI7BEE0W3hnNcDeI4x\ntpYxVsk536+MEy4hJyr2pHylj57WBxEwFnpGgkHtgxqoaBAVepI7EOtasELPTHlGfnruYMK0/IJF\nZGcUkVnX8nC9ZyWPIyr0pPfd7Xab7saVGD92NMaPHe0TfVW7GlXjyUXfsROnAXj+9u+cej1uz7kO\nq50XRN/FCIk9giC6JYyxcQA457wKQCWA6QCeU8bbs2eP7+OTmpqKAQMGCI/TC0YA6nXhhtOyFyrB\nJypojMSXnp9amFlBJyJQRO/BbJjatZJQCz3RZ6kUelpLsCgxI/CMjsOHD+PAgQNwu91BWyol0VdR\n9a2ucLTb7UgfOsjPTyn6vtq2y3T54RDsnQmJPYIguivZ8Ig8AEgEsEUt0qhRo3zCy2azCQk9Netc\nIF24WofSAgKICRdRghV8RtapQMSeSJxgxZ0ZgWd0HYjIC5UgUD4rrWcXKhEvbzuln9Gh9U5bLBYM\nGTIEAwcOhMvlgtvtxpYtqn+ipsgae0XAaSXRd+fU602nrampCbjcrgCJPYIguivFAAoYY+kAznDO\n31GLFMiYPC1xJyL4tPJSfhiV1j0geKueHFHBoEUwlj3pLGp1MyvuzFjxzIq0QC15oRJ/wT43EfTa\nRk34KcOUws5ICAYyQYMILST2CILolnjH65UYxVMKL9HJGXqiT0Tg6XXhGnXjqp1Ntk2HdJ3VlWtG\n4OmlCSRPIz+ta5E44bTkSRg9I7PW2WCEotozELHy6YlAInKQ2CMIokejJrT0RJ2en55bdIkXo49h\nqMSeiJ8ogVj1zJ4DteYF4ta6N5FrvbzMIhflZp6ZyLMUmcAhnfXeRSNhJyoCwzm7mDCGxB5BED0a\nPeuaqHVPTeQZiUO5W2nRMyP2lG4jtKx6WnmIztjsCoJP7axWb7OCTytMRPiZyU+NQCZcdAaiQs6M\nGCQiB4k9giB6NMEIOz3BpxWuJvqUIk/rQ6j8KJoRfJIYEBV6WvH1yupswSdyNqqb6P0Y+YdD6OkR\nrLhjzFw3biDWPTVxp/VDxmIJbOkVIjSEtfUZYwuNwhhjs8JZB4IgLm70LHmi4/hEBZ3oeEClCFSz\n/GnF0/vY6uVrxrqplbea1UZLyAZ6Fj2kZ2sklvVEi/I90bJAdbbQM0MwXb1qwllLxJs51KzZnd0u\nhD9hs+wxxmYDyAMwVyPKLMbYNACF4aoDQRCEGeGlZ63TcpsRdUaCBghuzJ5Rl6yaNc/swrta10b1\nFzmL5KfnFrkWDTMTJ5C4eoSyy5YxfQufWvuLijktwa8Wn8bsRZawWfY458UAqnWizOKcj+Ccrw9X\nHQiCIEQsWUbCT8tt1mImIgbNWOj04mh9dNU+1EbWQ610Wh/7YK16oqJYKfrUxIryWhmmhag1SjS/\nUBNqQSh3a4luEeGnJwhDidvtRltbW0jz1MLpdCIzMxMWiwVTp07F/v0dNurp8kSyEz2ZMZbNGHs8\ngnUgCKKHE6jIC4U1T82qZyT0tOIaWVr0RJxImIiYVCvLrJATOYCO4kLpp3ctYSTCjOogki7UBCLi\nzOx1rFV3rbYzeu+03gO199cMLpdLN/zYkSN4+8YbsamkJKyir66uDlOnTsXvfvc71NXVYdy4ccjP\nzw9beeEiYmKPc17COS8DkMIYy45UPQiC6NnofYDMCj4RQReI9UxL6InWWaQco/JFPuxqZYkKu0BE\nn5qIMxJ8yvjKOMEKtXAIPIlQLKliBj3Rp2xjZZiI4FfGN8NHzzyDj379axz47jvNOIP27UPv3/8e\nH+Xmqoq+zcuW4cypU6bKVSJZ9aZNm4b4+HjMmzcPlZWVxgm7GBERe4yxWYyxPO9lDYD0SNSDIIie\nj4gwExV8oluhiQoytXTKcyBCLBjhKZq3nogLhbAzI/i0/CT/UBCMQAwXcuEnuq6eXphaHKNna/Tu\nBmrZ680YBqxcif133qkr+iyMYcju3aqi7/zq1fgiJwfO//zPgEXf9OnT4XQ6fdcVFRXIyMgIKK9I\n0qlLrzDGEjnndfCM5avweqcAWKcW/49//KPPPWbMmHBXjyAIL+Xl5SgvL490NUKCkQAzEnxaY/SU\nQkjE6iYqeADxZVe0Jlio+SsFgZG/Ej0hZeQOxk/0OpB76A6Ea8s0rfYX+QEgclamCYSU5mZg5Urs\n//BD7Lz1Vlw2Zw6GqugBC2PofeAAGrZuxYmbbkKaV5ANPHUKeOUVfFFaiqjp05FZVISkvn1N1SEh\nIQEAUFpaitmzZ6O0tDSge4kk4ZyNOx1AFmNsJud8idfbCSCLc17GGMvzvlynOefb1PKQi72jR4+G\nq6oEQSiYPHkyJk+e7Lt++umnI1eZIAnEqid6qFnLtCxpRqIPEBM8ShhTn22pJuTMiju9OGaFX7DC\nUK+uIm10MaD2XKV1FpXvgXxmttr7FyrBZ7GEZm/clOZmHPn0U2wfMKCD2KuNjkbzrbfi0qIipF91\nlWp6n+hbvhysqAi3PPigcNl1dXXIz89HXV0d1q9fj6uvvjqoe4kEYRN7nPNSAKUKvyyZe0W4yiYI\ngpDQ6lpSXut11YZi3J6IdU+qr7zuovcI6A/U1/rYm8lfyy8Y4aflb9QOgQjUroyZ8XrBbn2n957o\nWUQDEXxutztgq57Ekb59EZ2fj2uLipDYp4/P/0x0NJpvv11X5ElwznFo6FD0vuceTLzvPlPlZ2dn\nY+rUqZg/f35A9e8K0A4aBEH0aMx22xoJPK081MScVpjcDWiPQTOLGRGnJxBF6iAq8OTXImmCEXnd\nSdzJ0XsG4V5zT+sZiB7htOxpiTwASO7TB6PffReXZmbq5iEXeTmzZsFut5uqQ2lpKRhjmD17Nqqr\nL6wml57evaYakNgjCKJHE0w3rXxvWyPrnOiYPJFuXKU7FOhZdESX7tALD0T8abmN8hato2gcUcIx\ndq6zhJ4a0rNXewfNvMfhsOz1y81FqorIk7Db7YZCry45GdFPPhmQyJOoqKhAZWWl36QMxpjh0jBd\nDRJ7BEH0aES6cM2O0zMzRk/tIxgusae1D65RWKCCKJyCT69eZoVoqDBjORWhM3aVkAs65Tg9LSuf\nkeCTizg1gac8OOem7/WyiRODvveCv/wl6DwWLFiABQsWBJ1PpCGxRxBEj0ZPrKmJNKMxeHpj8ZTW\nDq2u21CLPbVt0JThevmFYtmOQK7NiDylX31NDaLsdjgcjrCJOzVCJfjM5iG6163Is1SO31S+g1rX\nRlY+LfEXinF7RHBQ6xME0aPRE2FmrH161gs9MSfavasl/ozi6MULNlwZTy2u0t/MtZFbLR3gEXrb\ny8uxaepUbHrpJTQ2Nuo+fzP3J0Kw4rKzF09WQ+/Zyt1Gws5I6MnDiMhBrU8QRI8m0G5cNZGoJd7M\nWPDMCDwjAhFxIukDEZhKf7VrrXuVx9XKR+639/PPseMPf0D/XbuQ/PzzKM/Oxid/+QuampoCEnKB\nCL9ABV+4RJxefeTtrYwr8g7qve9qQk/rICIHdeMSBNGjERlzZ9Z6pzVmT6ub2EwXbihEhDIPvTBl\nuBYiYiLQa6WfYXoAfWtqYDl/Hi2NjUitqQHbvRvlS5fCcscdGF9UhJSUFN370YKx0I7Lk9MZY/SM\nkN+f2r3qiTw10adn3ZOP2SMiC4k9giB6NEqxJWrR0+uS0vrwBWop07K4iKA3Xk8kzExZRnGDFXla\n1/LxeUosbjdsnMPd0IAz336LYwDOrlyJS37+c4yfPVs1jRGigi+cwjDUKOuqFH1mD2ksnp51TxmP\niBxkVyUIokcj2m0rau0LRtAZ+cuvRdHKVy1vvXSiZYiEGV3r+ald7/nsM3ySm4tPXnrJ11UrwTnH\nXgA7LBZkxMQge98+RO3YgeN/+hOcU6Zgo0oaESItToIpX+99UOatVY6o4BP9oUTduJGFLHsEQfRo\nAhV6Wh8upX+gh1Q3tQ+w2rUIapa8UFv39OKJijfT6QAMOXIE/M9/xsZly1A7ejSsbjf2WizYkZCA\n7NZWxPfuDcYYWpuafHmkHT2KmBdewMalSxFbUIBriooQGxsrdJ+RJtyLKcv9jd5R6Swq/pR/c93F\n+tmTIalNEESPRkuwiYhAeTw1t1lxJ0dL6BlZ2ozC9Kx7WtY1Mx94M2Ua3ZNWnbTiMMYw5MgRjH7v\nPbhbW3E6JwcDfvlLxLa2ovX8eRzo3x87fvpTDE5JwZhevRArsyZpiWo9ROIGIspDVXYg+WmdJbeo\nqBP9G5L/LYWTzhCUlZWVSE5ODns54YAsewRB9Gj0JldofayUVgq160CPs7W1qP7yS1ikjx9jOH/2\nLI7t2oUBl18OR+/eXm+P1WXEtdciQTHZQO3DqbVArt72WHrhZgWnVnwjMSea5zmXCzbGYLdYYIuO\nRmJ6OgZmZ+PQ8eM4wDnaOEcM52hpbkaz241YxnA4LQ32GTNwo2LsnlbbBIr0rLoCenWRwtTOaunM\nvNd6AjDc6+xt2/kFqqo/wX23PRG2MgBg1qxZqK+vD2sZ4YLEHkEQ3RbG2CyvM4NzPk8tjpnuWiOr\nnpnDWz/fWTqiHQ7UPfcchhw54qujze3GqYYG9PN2RUocTEtD1Mcfy+8XgLpIkacTnZmrFm6WYISf\nmp9W2iNtbcC5cziVmophDz2Ecffcg4SUFFhWroQjJQXtnMN29CgG7t6NXY2NOHLZZbh32TIMGjRI\nt+5dVfCFIi+198VI8JkRd9LEC7mg0/rbCoZX3vkj7rzuPgxMHaIavvHAazhl24Ez9TORlKBueftm\n51ZceZn+9mp6PPvss8jIyEBVVVXAeUQS6sYlCKJbwhjLBuDknJcASPdeq8XTHXdnJP70BJ+oEJTj\ncDgQnZfn+wCfc7lwsKUFhy6/HG0tLb6jtbkZuO02xMXFdchHK2+RcL26mUEtvVGd9OIa1ed0SgrS\nHQ5MamuDe+VKlD39NNZOnox95eWIZQxH2tpwqKYGu9vbYWUMQw8fRmVeHsr/8hfDRZeN7rO7o9bW\namd5XOWPFq33X+8Hk/IIhCPHD+KHpA/x0XevqoZv2/kFTiV9juhBZ/DB1iWqcWrOnMJrVY+h+vDu\ngOpQXV2N4uJiLFy4MKD0XQESewRBdFfSAeR43dXe6w5odeMq3VoCLpCuXEB/3FvmzJk4lJYGALAx\nhra2Nkw5dAj7GxrA6uvB6uuxq7UVmbNnGzaCqPATSR9oPLPli1rzpLQjJk3CmP/6L0THxcFisWDw\nkSMY9e67aP/2W5x7+22cO3UK7c3NGMoYLmUMURYLwBgGHj2KPi+8gI3Z2djw4oto8k7eUCunp6El\n9JVu5XuqlkbEyqcm+KxWa9Bi76PvXkVMahOqrR/jyPGDHcI3HngN0fFuAMBO1wc4U1/bIc6ayleR\ncHUN1u38R0B1KCgoQElJCZKSkgJK3xUgsUcQRLeEc17iteoBwDgAX6nFC6QLN5DxeXKMxFNcXBxi\npk8H5xyxjKFh8mTEMIYmmw1utxtutxtHRo3CwS++QMXq1ThbWyskysxY9ETyCIWQ1Isv2nYJKSmI\njY72i+dqb0dLezvq2tqwx+XCUc593ZHD3W6MbGjAoZoafNfQgFaX68IYScG6ioZ1BdQsdHpxtSx7\nZt53NcGndUiizyxHjh9EtdUzjCEmtamDdU+y6klEp53Bmkr/ODVnTmGn+wMAwKHYMtPWveLiYmRl\nZWHKlCldZlxmIJDYIwiiW8MYGwdgK+d8m0a4qa4mI+uF0q0njvTCs2bNwqFBg3Bo0CDcvngxDqWl\nYVhbG6oBfA9g4sGDiHv4YdQsWIAou131vkQscQZtJxQvkDRmrXmGebIL488ODRyIzRMnYiiAW10u\nTzrO0aL4GLdGR+P8lCm44aOPMPmRRwwXWA5W8IVSFAaTl4iANvvOSmF6QyH0/sasVqvp+5CsehJK\n657cqifxfftqP+vemspXEZPmmVQR06fZtHXP6XSiuLgYycnJyMjIAACkpKTgwIEDZm8notAEDYIg\nujvZnPMntQLXr1/v+wiNHDkSl19+ubD1Tisc0P4onjtzBvu//BLMar2Qj7cuGddei8Q+fQB4rHux\n06d7tv7q2xeOGTMQs2sXms+fxwmrFaPa29Ha1oaa0aOxo6wMI667rsOsXKkeEnprqRkh5aMXV1SA\nmBV6IvlJIs8xYwYmFxaifv58xG7YgGbOMYJzXNrSgsMWC5rdbrijo9GWm4uflpSgj7e9lXkFglHa\nzrb8iNyLMo7yOUvh0ruqtauGxWLxi6e8lvtJf1s7duzAt99+C+61uppBsurFyPwk694DqX9CW1sb\nki0jMLB2lH9CB3Di9A9ISkj2WfXkeUjWvfRBlwrVo6SkBEuWeMYC7tu3D5mZmdi/fz/i4+NN3U+k\nIbFHEES3hTE2m3P+nNedzTkvU8bJzc2F1WqFzWaDzWYTtvKJdF15y/U7oux2nH3xRQw9etSvHocG\nDkT0Rx/5CZ3xs2f7rsfPmoUNb76J1q+/RpbLBdTVYZ/FghHvvotDmzej9emnERMTgxGTJiEhJSXg\nGbki4sAsZixiZoWfFH7ppEkYvX69n3XObbHgiMsFK4AmAG1uN47GxODyhx7CbU8+CbuKRVTKMxzC\nLJT5Goluo+VVROJJ5SgFn9q1UszJz/JDPiv3yiuvxKhRo+ByueB2u7Fy5Urh+z92+hBGR+UBNf7+\n7e1WcM4RFRWFX0x9VDeP0vLFaHGcR8shudRpx7ufLcajM14QqkdCQoLPPWzYMDDGup3QA0jsEQQR\nZhhjeQBKANQCWMA5X+L138M5HxFEvjkAFjDGngCQDGC6WjyjWbZa4s7smD3pcDgciLrrLvCXX74g\nZDhHTH6+T6hI/nLhEhcXh9733ovvW1sxdudOcM7R5nIh9uxZuNxuJD32GA4OHIhRTqdfHhJqS6qY\nEYSBICrURK/10iutmgNHjYItPh7szBkMBeAGsN9mQ0p8PHrFxQnVPRhLqBqRGNMlF2ZmrLLKnVXU\nBJ7kryf49MKl7ttA2iVrzA3Iwg2m08m578dPwO1+rIN/ID9oACAxMREulyuoOkUKGrNHEES4WQhg\nGOd8OIAixtjVXv+gBjhxzp2c82TO+XDveb1aPD1LnlzUiY7XA7THQEnnsfffj0MDB/rCDqWlIfOB\nBzrkoUw7obAQ96xejZ12O/ZZLBgGYK/FgiEWC1qbmlA7ejR2OJ2or1GYO2R1UvrpEehHL5C8zdRN\n7V6U4fZevbCvTx/8YLfDarHAGhWFEd6lWVzvvosvXnlFc/at6D2EmnC2t158tbRGok7v0Bu3F8oJ\nGsESHR2N2NjYDkdMTIxx4h4GiT2CIMJNNedcWna+AB4rX6ch/yCpfaD0hKCe0JO7lddxcXGI8q6l\nxzlH9PTpmpMD5B9ih8OBQYMGoWHKFLTZ7bACaHO5YD93DvsbGnDZRx/hlMaEDbX8lPXVim9GSASS\nn1mhZ1Q+AIycNAmpf/oTHAMHgvfqheiUFER71yQUyScchLLMQIS63g8JyW30Q0UtnojoU/6dhWKC\nBhE6qBuXIIhws58x9gqAhZzzasbYcsbYWni6XsOO2gdI7WMk8jFT+1iqfTwBIPOBB/DlO+8AAK6b\nOVP346p0/3TJEnx62234vroal9bXe7p07XbEMgbHjBmIU+mm5JyjvqYGezZvBmP+XXoc8JvgYdS9\naxYz4i0UQg/wdOtelZ0NK2OIfuQRzwSOtDTEzZiBKYWFPnEdSBeiVE5XG9enldbIX+t+5P5qgk86\na/1tSOnkY/fk13J/IrKQ2CMIIqxwzguZZ3wd814/yxirhmch5LAjKu70LHp6Ik+OPMzhcCB62jTA\nYukwVk8JY8xPqDU2NGBPYiLarrgCJ7/4Av1cLlxqsWBnr16YlJenmUeU3Y5TCxb4bcUGwDPWb926\nDvWM9Ji9YPICPIIvKiYG+1NTEZufjykPP2y4vEpXIBjBJ5q3ngCUUI7bU4o+kW3UtEQfib2uBYk9\ngiDCDufcqbguBVDaGWVrCTmRblszVj01a13mrFm6glB+lgu1WM4x5fRpwOXCNs7RDsBWX489NhtS\nv/wSDodDdRmWuLg42PPzwV980e8D7pBNDlGrSzDWL9HwUAs9iZGTJqH5iSdwYuFCbAJwg0LwhdqS\nZpSfaHki8YzK13KrxVd71krhpxR9otY9uaiT3NKsXBJ7XQMSewRB9Gj0JmaYWWZFxMKn9HM4HKoW\nQDUcDgfsBQXgf/6zp352O9znzsECwA7gIIDJLS2oe+EFRN12m58lUE7U4MHYeckluPzkSQCeySE3\nFhbqigtR0ReoKAtU6Im0W0JKimeJlYMHcfb3v8f/vvIKMubM8Ym++poaRNntmsuwBEI4LXOhQGnd\nU9ZX2a5yoScPVxN70kQLvS5bNSsfEVlI7BEE0SkwxmYBmCvz4sEsvSKKiMATEXzee/CdlSJOzbIn\nRyuuJNosFguiBw/G5l690LemBtxqxSmrFVe7XKgG0GyxoFdcHFq9Y/YaGcOp+fMxWNFle3LgQPTK\nzwd/+WUAgKOgQLUbOVTj9oKxygUr9PziA8hwu5Hxww/Y5xV96UVFiMvIwNkXXkDcjBkYP3t2Bwtn\noMLNSDyHSuCEwronTwdoj91TXivfd4vFArfb7SfmtNzKI5B3iwgdNBuXIIjOohBApneplOGdIfQA\n/aVX1JZgCdbKJyFq0Yuy23F6wQLE/vrXSHzkEUw4cQIZ9fVAQwPabroJR2w2DAeQ4XDgh0GDMKGw\nEIDMEiifiME57DNm4EcPP4zDaWk4nJaG8bNnq5Ybio9vuISeCPU1NWhsbFTNd7jbjfHHjqHulVew\n54MP0O/QISQ//zzKs7NR/uKLqulCXc9Qihu1vNR+PMjdWmfJLWKtNvpBpDX5SS1OJJZeCRXFxcVI\nSkqCxWLB1KlTsX///khXyTTdt/UJguhuVMiWYOk0tD5EZhZSlvJRu5aXo+evdEs4HA7EykRbVFwc\n2i0WnEpNxb3/+hdOpqbCarMhLi4Ojhkz/CxTE4uKcDgtzXd9OC0NE7zWq9iCAtg1Zu7K6xMOMWOU\nbzBpJXZt3owNN92E8hdfRHNzs8/fZbXC7V2KpXf//oiy2Xz5Dv7hB6S88ALKb7oJG/78Z986fOES\ndMG0QyBlafnpvYMiQs/oEFnLMtRir62tDa//+w3YMu8yv8P56OX4dsvGkJVTXV2NoqIivPPOO6ir\nq0N6ejrmzp1rnLCLQd24BEF0FimMsQoA0mQNznX2tA0VwVrzgI7j8rQseFofZKMP8cTCQmxctgyD\njwQ6wpAAACAASURBVBwBYwx7U1ORPmcO+vTpg/SiIuxdtAjxqamY7LXqScjH+QGAXSYGrykq8ivL\nzO4KwdBZ1j5JvPHnn8fOXr2wx2JBf4cDveLi8MPgwb4lWLaXlSH2o48My9JrI6P2E6lrsOMl1fJR\nppXCtcqTh0uITNgQEYJ6Xbmi9ydn85q3YfnsWdgUr8Q+92DM+K+ViIqKwojrp2PM7gV+9d7mmIIr\nJtwIAPhm4yq0nznYMfO4fhiXO0OoHsnJnhWiEhMTER8fD845UlQmR3V1SOwRBNFZLFZcd8qobb1Z\nuGasfiKCUEIZJg/Xte55RVvKgw/i+ocfBgDc+Nvf4lPGEB0Tg7i4uA4fzYlFRShftgwA/MSgckJC\nsIJFhGCEXCCCk7vdAGO47Nw5pLtc2O124/z48Zj29793+CBzznF40CDEzZiBySpj94wIp+ALZT5K\nwad1luLq5aN0y/8+5KiJPOVMXLfbbeo+r7k5H1uqXsUYy3afX7uLw5L1iK8+V/54NrbveBujozyC\nrr7ViqTcWb747vYWpH/7DGJs/iL2u8v/Q7geiYmJWLRoETIzMwEASUlJqFHZwaarI2RXZYwtYIwN\nDW9VCILoyXDP9mbyo6wzytUSeUpRpybwpPSiljulwNNLo+Qab5fs4bQ0jLnnHny3bh0q3n8f251O\nOIYPh23QIGxZtQpna2v90knWPamLN1SWM7OEM281Gs+dQ1trK1pratDW1ARbVBTiL78cIyZP9hNy\n3LvYcu1jj2HK+vWY/MgjQruZhINQWjWV10bWY+VZz1onEkfvx5HWDywzWK1WRI37BdpdF4TtdjYG\nV+fe67u22+1wjbrbJyj3J/4Il2VN9oVfddN0fB89zi/f7a4MXHXbTOF6VFdXY968eaisrITb7UZ+\nfj4KCgpM3UtXQNSyVwGgmDGWDGAR925kThAEIQpjLBvAcu8lB5DPNfazDSVaIs/s7hhmLHtaqH10\nfUuoWCyoGTMGjDFUf/klvvnd73D1uXPobbUi1pv+UFoaxqxf38G6c82cOR3K6YyZosr7CiQ8UIF1\nZMcOZJw9C5vLhWrOcSohARl5eZhQWOhn1Rw5aRLGrF8fksWW1drObHuG6tmI5mNk2VOz8um5tf42\nlEuwSGcAvmuzjJ36M2yp/Beuxna0uziisn7ZYds1ybqXxn/ws+pJdbRn/RtaPqtEjM1zr3zMPab2\nxi0tLcWMGTNw9dWeLb0XLVrULSebCNWYc17KOZ8KIBtAAWPMzRh7hax9BEGYYCGAYZzzZADjATzb\nGYUGsrYeoD5wXUJpSVEL0wpXEmW349T8+Yh98EFc/uGHuGzNGiQ88giSWlog/6xxzhEnG5MnL8Ou\nso6ckcAKhRXLKB+R8EDKY4wBjGEPgJ0A+nOOifX1SH3pJWxQTL5ISEkxJfQCaRez7RmqZ6Nm4dNz\n61nt1Opg9seP1pjYQCdoyK17SquehGTdq07wt+pJyK17Zq160j3LRXVdXZ25m+giiHbjZjPGFgHY\nCs8WR1kAVqCTVsAnCKJHUCvNxuWcVwOoNYgfEkI1Ng8wnpwh8vFVnuVLqMRaLIj1WkRSHnwQp4cM\n8aU/LFt2RZRgLG7hztusOFLGH3D55bD26oVRFgviOIeloQGtNTU4e+wY2trbhfMOJaESfGbyMnon\nlflp+YVK4Cn/1uTuQBg79Wf4mo9GVGZHq57ElT+ejUtyHtFsH3vWv6G5zbxVDwCmT5+OZcuWoays\nDHV1dZg7dy7y8/NN30ekEZXa+QCWe9fGKuKcV3LP9kcLwlg3giB6FvWMsce8Px4fB9ApP5G1Pj6i\nM3KlPLQ+fpKfXvlGdFhCZdAgXP/ww3B4RaDSqmcm/3AIvnCKSNG8esXHI1q2m8NeiwVf9e+P5Acf\nxA0PP6y7Y0YkRW5n5WX0bmqJP7NCT034qYUH2vVptVoRn/uUqlVPwm63I2NMlmb4VTdNx6q2m0xb\n9QBg2LBhKCkpQWFhIZKTk1FXV4eSkhLT+UQa0dZfJx9MzRibBvj2tyQIgjCEc54PgMHz4xGc804Z\n5Syy8KuZQ0mwH3fGmJ91Ty7sJhYV4fCgQYZWvVAIvmDawExZZjDKiwPYZ7Hgi7Q0xP/pT/i3HTtw\n89y5QlujBSPQO1vwBdr2SkGnd1ZLa0b4aYm+YC17AHDlNTdpWvVEYIzh53/8p2mrnkReXh727t0L\nt9uNpUuXIj4+PuC6RArdCRqMsTwAMwDkMMbki9KMA/BOOCtGEETPgDH2OOf8OcaY1BNQB8+ae/M7\na509vQ+QWeue1sdX9IMsxVUysagI5cs981emyHbJcBQU+AShSJ6dOTFDqw6dkRfnHHzIEMQXFODH\nv/mNr33CuU1ZKMOVcQHxtfb04mqVK/lrneV5a5Updyv/LuTr7Kn5RXpSQzBisSdgNBvXCaAKwBPw\nDK6W6JSxNgRB9AiqvecKdNLaenLUhF4gIs+oDDPXasTFxakKO+VM22AIp+ALlTVLmlhhJG5HTpqE\nMZ9+GtQs23ALus4Q2EblqtVBTfABUBV9ykWYJbfF4r9Prtvt9gk65axcwPw6e0RoMRJ7s72/yOvh\n2ddSggMI+y9ygiC6P5zzFV7nOgDJ8PxYnI0Ly7CElWD3vwWMB7CrEYiFT03YiXRJquXZlZZeMRP3\n/S1LwBhDwY0P68ZL0NjFoLMFVjgsfICxlc/Mc9ay4mlZ9rR21VBea/2NKJdf6QqWvYsdI7En/SLf\n4j1LT7nzf6oQBNHdKYFnF4258PxvWQ7PEixhRWsZCCMBCBhb9cxY/IzEIWBe2BmV3RmCL5RCr7Gx\nEdub3wcA3N74QEjWxusMRASfHDPdtUbxRZ+zmhVPL1wLyYonpTH6QUSWva6BrtSW/SKfAWCfd729\nUpk/QRCEKIneiV7pnPNnceHHY1hRCr1QWfXULBwiXb7yNGruUBKMUA02f9G4TU1Nvq7b1V+9CuuQ\nE7ANOYHVX/096Pp1JmbbIpTxRcOMrNAi77yamNPyD8VsXCI0iO6gUQzgKcZYOoC3ARRzzs+Gr1oE\nQfRAGGNsPoBKxthYAImdUWggQs9bWc2Pn+KmOpTZGUIOAOprarBr82ZVy9HISZM0uzqVdQvEyhcq\ni57UbfvjrPuxvfl9RHnjftf0Hm5vvD8g616oLZfhmGhhNm+j+Hpla1nwjM5qyMNExKF8HB8ROYTE\nnndNPScAMMYWAzgD4OKe2kIQhFkKAeTB8+OxAN4lWMKN2f1w9Sx4EsqPnSiBCD+9j3iU3Y5TzzyD\nwT/84OcvbasWznqFIm95t23L5lbYhpyAZPCVrHsFNz7ks/yZ6eaOlOAzG1+vfbSEWyDhgQg+tfqp\n/ZBRs97JZ+bKu36JyCC6g8ZYxtgCxtheeMbr3RzeahEE0dPgnFdzzp/jnNdzzks451WdUa68S8mM\nlU9KqxcmL0Pko2hEfU0Ntqxaha/efx8Vq1ejYvVqfPX++9iyahXO1tZ2yEdamkX+UddbgLmzMbpv\nqdvW1e8ovqj/3w5t9l3Te2hsbMTyTX9D6aevhLx80Thm4gUaXysPvXzMhmsJNXlcNcu2VjylBU95\nrfybCyVutxvHjx9XPcIhLHNzc7F//34/v7q6OuTm5sJisSArK6tDeFdCtBt3IYDFnPN54awMQRA9\nF8bYLHgmZ0hwzvmIEOS7kHM+Vys81OP0RD6IAnVW9ZcsdUMUlrqDaWkYs2GDL+358+fR2tKExKQU\nTCwqwoZly3zWvcODBvnW6YskRm0hWfVsjIG7gNbaKEyo+Q//hW9TOI6dOALnniWw2azIaywyLWK7\ni4UvmHz0rL/K9PK4ckue3E/pVruW5yUiBM0KMLfbjZMnT6qG9evXDydPnsS+LVcgJdlfRNbUuoEJ\n3yI1NdVUeVo4nU4sX74cZWVlHe4/MzMTc+bMwYoVK/DEE0+gsLAQa9euDUm5ocZoUeXHOefPwbPW\n3njGmDRzjnfGYqgEQfQoCgFkcu/+uKGAMTYbnq5hXbGntX+niKCTlaV7reZv1rrjs9S98ILfR1ey\n1DU2NuKzNUtwdudKDLz+UUy48Xa/NAA6WPWMhEA4ELlvyaoHMNh725A6oQUnTx/ALyY96hfv/7wy\nDTzpNJjdijfXv4SfZf97SGctS/XtKuPygilXryxlmFzoGc3YNaqTnthTrsEnipGYA4CUZAsu6as+\nokxPLAIewShSp6qqKtU2qKysBGMMjz32GABg0aJFOHDggGF+kSKsS6/o/eJmnt056uCZmdf9Npoj\nCMIsFaEUegDAOS9mjE3Xi6MUdoFulyblpSYE1coMFMlSJ1n3Dg0ahGt++Us4S/+KsztXYkDMcfSO\n9a+DlAaAplUvlBYuPUTuXbLqRcniHtt9Hkfq/u6z3jU1NeH06dPY37wJQ6+xwGJlWPPB32CPicHP\nch/VyT3wekdiXB5gTogr81JbMFkr3Izg04ovz1dL7MlFlLTwciDoiTkjtMQiYM769/jjjwMAlnn/\nviQqKiowbtw4FBUVwel0Yty4cV16z1zRpVfAOV8hLb0ikrHsF7da2DhvnmXe67HCNSYIoruSwhir\nYJ7xvwuYZ2Zu2AlknJ6EnqVPJDwQHA4HHDNmgHMOt9uNo5cNwCeL8tFr/ysYGHtC1XIoWfeMxuqF\nqo7B5t/S1oQpyb/BDQ3P4IaGZzD+9O/Ry9YX8X3sOFNfAwBY9eUSzPvnT5AwhMNqY2g770bc0CZs\nrv0HGhsbI1r/QOOHIx+jd0/UQq323svdaulEj2D3xg0USSwqDzUBaJa6ujqUlpYiKysL69atQ3Jy\nMvLzO2XOWUAEszeu7lp7Br+4CwBIHdvVAHLg6SomCKLnslhx3Sn9isHsoKFE+QHUCjfyMwq/pqgI\n65cuBXe7kXbzdWiuXmN4n0bbqjU2NqK1pQkJicmGeQWCmY95UkIKpky4w3e9tPy/kTyqBQCwefd7\nuD3hfmxrWIEG+34MHx4NMOD0/nakjrGBt53Gys2LTFn3zFrhIrFMiNR+gZatV28ti57yWl4HZX1E\nBKX0NyZZ8+R/Jz1tnb2kpCTk5uZi5syZAICFCxciKSkpwrXSJlJ74yYq8tBfDIogiG6PdwmnTkdp\nXQhE9GlZ/ozKVbvWSy8JsqTkPnDMmAEGYMq9j6Kx8df4/MMlqP/e043LGENTczPqztT4xJvWODZp\nnN+5ne9i4A2ecX5A6MbwBWux8XTprvJbX6++7Bwaeu9F0lAruIuhrYUjOpbBwhi4leHb5vfQaHKy\nRrgEX7AiTSs/I8wuy6Il3oy6b9UEoFa5atbAcFr0amo7TvqoqXV3ygKe6enpfm2ckJDQCaUGjuje\nuHUI/d64nW/TJQgiYjDPcI3l8KzTuQyeXXneCXe5r732mu+jk5WVhfHjxxsKuWCFnihSfkpBNnHy\nHbhWZqlzOBzIzvsNTp++Fxvf/RsOffUmUk7+P8TGxPjEmxJ5ngNijiM+lvn90w2FBSsU7fH+llf9\n1tezDj6ONe/+DdGp5xETZ8HBze1Auw1DbrTB3WZBrK03otJrfGvwhQsz7SOtAxgbGxu2+ijRE3Z6\n4XpWPiORp5dOeWaM4YsvvsBnn32mWcdg6Nevn2+ihpxEXJitG06ys7ORn5+PFStWIDs7G3PnzkVu\nbm5YywwG0QkaFQhtl0sdPBuiA0ASgJoQ5k0QRNekBEAWPDvwPMcYqwAQlNjzDhXJYozN5JwvUYtz\n//33+7pyrVZrQN233rL83FrxzQigxsZGlL/3N5zfvQqDHaf9BJncUtfY2IiP3n4Ruzf9AwP69sY1\nGQDQ7CtfvhRLU1MTNn9Q4ifytH5bByP4ghF6cpErt+oBQHNbI3oNawSHBUlDotBvaBzq9lrgsHm7\nAduscLkD22HD7P2Kxn/93Q1gjGHm3bdGrAtYXq5yEWrRblyRMAmtpVjkiylfd911uOaaa3zjT//6\n17+aui89y53FYjGcYKGWXp6HGdTe97KyMsyaNQv5+fnIzc3F8uXLTebaeeiKPdkEjXXwiLNaALPh\n+XVuGsZYIue8DsBSeP7plwEY5s2/A3/84x997jFjxgRSJEEQAVBeXo7y8vKQ58s5r5P90wx2OAi8\nE8Z0J40phZlaF64UTy2+UtCp/dM3K3z+P3tvHh7FdeX9f25V79p6kQQIMFoAG8c2O9jGKxi8r1hg\nJ7NkEoPtyTJ5M5Pgd/I87/ySWWLIMjOZSWIb20kcO4ltYWO8YIPYvAC2hVhsMKvYhRBqqbVV73V/\nf5S6aUktqSWEsJP6PE8/XcutW7dKra5vn3PPOcFgkI2v/Yr6qt9QnN1Arj0HIezd2mmaxjt/+i+q\n3/lfRudoFNgkJXkSRTHahiORZJRuIhVLf8czEME3WBbOcDTIbN8/QJvRXzgc5on1/0juJZA7SqHx\naIyC0TqiLY9rW4wcfJs/ewOE4OqLbyMcDeLi/CaP7uv+aJrG+h2nAPjyXRoul+u8Cr6eqomkWt9e\neG0jQgi+vvCWTvvTRdb2lX+vv6lY0v0fpfafKX1Z7gZ6fH/6SMXv726Tmjx5MlVVVf3q50KRaVLl\n5RiTq5dgWPteBqb3dkAPv7grgWlSyu1CiGlCiDlAQEq5I10fqWKvtrY2w6GamJicKzfccAM33HBD\ncv2HP/zhYHS7TQjxBOAWQjyOYeE/72RiyUv3YEon8vp60HVdTveuaRqbXv01+99/Fp/lDGpO976C\nwSDrX/lf9r/7DG7lDNeVSVRFoaY+DhgP3UhIY/vKHzKzONIpFYvT6WTO/G+haV9ny+pnaEmZ55fJ\n2M8nXc/jyfNxw/SzbuiTp45zUa0XS1kYFAl6jEB1Hgsm/YAZl12P3epkfcN/ATDjS7OHrG5uOjdm\nghde20hLh6PqD6s28dADt57X+/nCaxsBeOiBW9PuDwaDbNhZB8CX7wp2EoU9uWNTt6UTer25eROk\nWvQS+1PX+xugkYnl7nwe/+dGpnff3ZEmpVRKuYwM5tt1pGnxprpWpJTTUpaXSynXmTn2TEz+MpBS\nPgxUY/xgPCSlXDAU50216GVq1Ut3fF/bUvtJRzAYZF3F/7DmP+/Ee+pZrh4rGFPk42CDg8PNucmH\naDgaZeOrv+J01TNcnt9AsQ/sVoFFEeyrgz21OsFWPyKu4bMFejynMc/vW9z83TdoK32Uk6FhQxP+\n3AOZCKD3963ENS6AagPVIhh+mQWlsImW+Ck8eb7k/L5E3dyhpus1JKx6ic/Duu215y0tTOr51nx8\nLK2lCc6Kzxa8/GHVph4/p71ZrHv7v+hrua8fUiYXhkwte0IYObGqhTHJeiiCXUxMTP6M6PjuKO1Y\nnSqEmCKl7D1fyCAw0MjbTKx7/X2IJR+MHesOm8qXinMJXf7PtLWdouWzV8kNhTiydyvWcDO23ERr\niRDgzrYjR8xmx/HN+CxnENbu/Xe1PiVEn6Z9nUg42I87N3hkco80TeMTbSUxT9i4YgkgkLYw1YEV\nzG54IDm/L9IS4+NtT1McHobNfjYoQkpJ6cRZ5HmGJsFDQlglri4hsHqyug3W+RpO7+exZc+xfOn/\n6bRf0zQ27KxDCOP61+84lXQtQ++BHF2teKn7e6uwkdpH6rIp8j5fZCr2HsZIkPwURo68z2/mQBMT\nk88ry4EfY7hvDQUzBCSsekPlwu26LfHucrmYPf+baNrX2Pr2s53cq06Hg+tuNgRZS6AREWmgfmcd\nBxtqsBCmOF8ggaDMZvI193D5jP9h48pf0rj7NaT0Z/RAdblcA3J7niuZjC0YDBJoaWSm6yGO7NkH\nQrD3+EcgBJNGTqN4+Hhe2fxr1LF1gIKwCq47c4BxWxfhsGUl+/ksMgrrjA0Zj2kgc+sSx7a3t3dY\n9Xyd9q3bXttJYA0WCatePJpFJCbZflTD7/eTn5+fbPOHVZt6FZ+9XXdv7tt0+1P7S9D1+MTrQgSt\nmHQmI7EnpawBftKxarpdTUxMBkJjalWeoSITcZfaLt2xPfXV0/l6I9XSlphTNzJlX1ZWFiPmfxvt\n1ofYsvpp6ne+zGenD2JXIpRd+QAXT7wal8vFbV/+Xqf8eyOlRNM0wiEN9xBZtvoiU6vOqg+fRgjB\nghuMVCp+v5///HABiqLw9eu+D8D33phJXiyI05aF1amyY2QeMxr82KUrKSiiE3qvIDKYhCNRvnrz\nBOh6jbKQUDgy6ONIWPWaTu8nFo8DgseWPcfTy4zk0mddyp3FZ1frXmJ7crj9EH49Wfa69ptO8Jlc\nWDISe0KIRXQuNC6llOPOz5BMTEz+TFkrhFjD2ZROcijcuIPhwu3pgZXOfZUpfblXXS4XV936EBvD\nEcJtz1LfrjC19EvY7E4CTX7cHl+n/HtvPb+MQ+sep2zOYz3m3htKMr0fifQrAHP8D+Jyufjpykdh\n2hFstize+PhZZo2/m0iTlYatNuZ/6QfY7XbCE0N89vo/M8PWYlgCo6O5/PZH+j3GgVqdvB43t8yZ\nNSRWq05WvahEUW0AbD+i0dDQQH5+PqFwpEfxGY5E6Ul7pnPTpi5nYvFLnirl2K6Cz+TC0h837lQ5\nyEXMTUxM/qJ4GONHY+J7ZMjcuANx4Xa1/KXu79r/uZDqXk30lUiI3LLXcPX6igSjLv5ntKajvP3z\n2xl5jZF4uVO7yCGEIj4X2er7c0/OJlWGn73295QWTKIuazP5EiCLXe2v0rqtjdHXxQBorq9lwSzD\nArj11FE49NMht+qlcr7dlMFgkKZAM1+9eQJrP9jBmZM6ds8YAKJNR/jDqnf59tfuw+txc/Psq/vs\nrzdLXk/Lvblwe4rs7Sr4zidSSkKhUI9VZEwyj8atMoWeiYnJOVItpVwhpazseK0bipP2V9x1PTa1\nXdc+e2uf+p7pOIPBIJUVv+Dtn99O9uFfM9JxmnBUZ/eRFmrf+wkFp58ztnXk10u0y+c4xEHGJLt2\n7s785pwH+nPNCate4pi6rM28vvOXeMZH0WWMUFQjVnSYNTW/St7zT4OvJSNer7jjEfZGRw/IqjeY\nnKv1uLfXC69tZPW7O7juqskcbRSg2lEUgaIIUG2898lpgsFgj5/x3sbadXtvy31ZudP1lcl4MiEa\njfa6f8M7G3nmv38z4P77YsmSJXi9XhRFYd68eRw+fDi5r7KykqlTp6bdlyCxv+tLVVWAHve1tLQM\n2jVkKvZ8QogqIcTjHa8fD9oITExM/lLwCCHWDPX3yEAsej1Z9no7x+CN13gPReLsPtLC0ZN+xvpC\nlOS1dHkIG+9SQiQcgQ4ryofrP6Su9sSgjac/9HYfgsFgMiFwglSrXiii4SoKk1WsGU8mAZF4kEg8\niHOURlgzLHupaVdcLheRSxaek1Xv8+JiTHd/NE1j3fZa1m2vpbEpwBivjqdwNFl2lSy7iqdwNMU+\nSSgcSdtnXyIr3Y+Yvpa7HtvX/81g3N+f/fA/2Vm9M+2+9vZ23n99M6f3NrDtw+oe+1i7Om3thj6p\nrKxkxYoVVFdX09TUhNvtZskSY1ZbIBBg3rx5/OAHPyAQCDBlyhTKy7vHr27bto1AIJA8vrKyMrme\noLq6mkAgkHw1NTWRm5s7oDGnI1Ox9yTwGEZS5MTLxMTEpD88DizFqJizliH6HslE4KVbT2zr2k/X\nvtOdbyBjTARXzJn/bW757psESxbTHE2TcRlw2O3Jdu+dnsFnJ11IXUeXEQrEFp773/6VpRoM+rru\nVR8+zesfPZNcT7XqSSmJEqLhQJzWU3H8B2Oc3htlx4vtHN4cQkrQQlryPKnWvYl3PsoVd5z3qZ/n\nnedXbuD5lZ0jiY2gDB8t+Fi5disn2xw4HHbsdht2uw2Hw86JVjtSj3cTigmCwSChUKjHfQmrYILe\nRF6mAq6n/62BsKlyE9rxMKtfXIOudy9/9srvV4KmYlPsvPPyWuLxeLc2u7Z/wro/vst7G97v9/nL\nysqoqKiguLgYKSUlJSX4fEYQTMKqd99995Gbm8tjjz1GdXV6wZmbm0teXh4AXq+X3NzcTmLO7XYn\nt3XdNxhkGo1rijsTE5MBIYT4npTyJ0C6KuHn3ZWbqVUv3TGp6+mWux7T03pvDzpN04yo3I6SZzNv\nuBOXy8WtX/4nrr/n79m48pds2/QsvjwH4wtCnfpyuVzkF1/PpzV+6gNVlBZEuMhnZV9dXQZ3ZvDo\n60GeGoSRqGebWirt/U/eIOB8C6EKfGVWCsZZOFEdwV0syPJacSnZtH3q4eaO4Ax8MlkqbTDmaSUE\n54UiYcED+MrdRuRsYpsQRmqV9dUn+NtbL8Ph6FxWT8oCfv/qeqwWC1/rKI8WDJ6tnPHsi29js9tZ\n9OBtHe3PXmdqTd/Ue5Buuet7gnR/+772Z0owGGTTax9gVW2ETkd585W3uPP+s8FHB/cf5MBHh7B2\nlBqMNuis/NMq5n/l3mQbXdd5+6U1ZFmy2fjqu8y4errxGcqQkpISACoqKliwYAEej4eaGiPG7P77\n72fu3LNfa1VVVZSVlQ3oWs/35y/TaNzJGCXSmoCXMLLfn1MBcxMTk78YEtG3VZwNyhjSPHuZum0H\nYr0b6MMsEVzRunclRY66TiXPNE0jEg7i9vi47cvfY8a8v6OhvpaTn21MplkJBoN88OZycpte4ZZL\nD6HrKtGYk7gOe08JQqEQDoejj1GcO5lcf6q79o2Pn2XB9d9MlkrTNI31Df9FgS+bwNYwI66ASLsk\n1CwpvtaKRXeS7cwiWhTkwMfvcM3lxsP+6I7NHCV9IuXmJj81Oz/oNrbeki5fSMGXsOAllhc9eFty\nW+IKQo5R1AeCLHrwxk7HaprGb9/+jNoTxxCKgtVqZWv1Z1w5ZQKRSIQX1+ygaNRo7pvnx+U6K44T\nEb66Lrl3rh+fz9ej4EtH4t72lqi5tzaZ8MoLK6FNAQGqolK1tpqrrr+S/AJDAH+46WOsnBVuiqJw\nYOcB+MrZPla/upr22hAW1YJsVXj1hZU88LWF/R7L/fffj67rPPLII5SXl7NmzRqApLWuoqKCaRfg\nhgAAIABJREFUxYsXU1HRa6nuHukqEsvKyjhw4MCA+kpHf2rjTgOeklL+RAhRBZhiz8TEpE8SufWk\nlAP7FjxH+jNnL/WY1Pf+nKsvgsHgWZFnryPXIUAI2ttjHNv0AbtWr0I7sQXfhLspHj+RPVVrUOK7\nKL7+28yZ/2007aFkqpbk6WQEqxJHWGyoigU1rLLi96/wV4u/ck4CprnJT82uD+ga4yuRlF4xC7c3\nv4cjz5Kw6lk7Bvtp8LWkdQ9IWvhC4TBa0eO4LC0c2dVClkcQ3xUmGo0Qbo8S+aSVKdHfMKr29yiK\nmrzXe+MlWGds6XROq92JfPffucTWee5iX0mXL4Tg62rBW7e9lnvnNnTalhjbuu21Sctfghde20hj\nJItWmcuf1n1GodfNkboofm0/zcEorTKHes3Kd/9tOdfMuCJp4UuISS0cYsnS3yXz9fXHqpc6tlR6\nqrjRH6SU7K3aj02c/cGiRmy8W/ke9z1oWO5uuXce/7PtV6gRIxVNLB7h+ptvSLZvamrio7XVWDpS\n1Qgh2PPBPo7eeJQxJWMyGsfhw4fxer1JUbd06dKktQ+MeXvl5eUEAgHWr1/PpEmT+n2tYLiES0tL\nk+ter3dA/fREpmIPKWUg5Q/WOKijMDEx+bNFCHEwZTX1G+yQlHL6EJy/R2GXTuSlE3qZzOfres7e\n9qVuk1Ki65JYNEhs+S+YHDIm20dfP4wio1idktjd2dQe2w+cTdWiaRpSQjQWp+aMxK7EKfLIFAV4\n9nwDFTBWuxM2/QeX2LuIpvAobBlUqoBUq54xrkSAxYLrjfQpCQtfU7Mfh91OqDmMX/k3NFHPtdvr\nmZWto4Xj1MbbEQo4iSEkICESg8OOy3B+fHY2QMJ6F7lkIfLQTztZlzIJ5BhqwdfVgteCjxdWbeKr\nt0xII6IKOiVsTgjFQH0DtryLaDxzkKjDhZqXy/4j1WQXXY49z8qpgx/RkOUhqJ7kK3cbcx0Nt7GX\nSExn54loMl8fQCgUQkrZo4u8LwvgYNxDIQSTrr2cT9fuQ1GM8AKZFePmu+Yl2/jyfUyZM4nqNz9B\nVVR8Yz1cN+fa5H6LxWJELaeiCGx2W8bjqKiowO/38/jjjwN0q0k8Z84c5s2bx49/fG7xZqWlpRQX\nF59TH72RaYDGNiHEE4BbCPE4RrkjExMTkz6RUo6VUo4FqoE5UkovcBPQPUfBeSBTq15Plr2BzsVL\nt18IgdPpZM78b3HtIy+x5cxYqvbWE2w5g0PR8I9V0aVuCMBoED0eJTbRwsVFZy1ZXdOzlOb6mTQ+\nnwK3izc+LWbPSSdhVWP+X9+X8Th7wuVyEZmwoNODW0pJ9NLMol+7plZJjCU1wCJBQvTVNR0gTzSR\nH4/zocXKfr/kQEOYbacUJvhgT0NiILC1VnCzqOTiLY8kX/Ldf8dqdybTsiToT3qWdH/388FZq17n\n+7NlbxPXXTmZm2+8mptvvJpbZs/iltmzuHXONfi8nuT4Ela9cFxBj0VRVAdxXYCUCLsbvSNYISYF\ndm8Jp0NZvPDaxqTADIYi6CioeRfx2LLnkmP4zctr+N2KyuR4Ut8zZaDHpXLPA3dj9RkyJaZHueb2\nq8nKyurU5o75t+MYZiUiwtz55ds77cvJyeGq22YSixupW3Rd54rrJjCiaETGY7jpppt46qmn2L59\nO4FAgCVLlrBwoeEGrqioQAjB4sWLqampSb4GQlNTU6do3EBgcGVWpgEaDwshFmP8NDskpXxsUEdh\nYmLyl4BbSrkdQEpZLYRwD8VJM3Xddt3W20PqXB5gmqax4dVfsu/dZ8mVddS2xNnSDqO8KrmXOjhw\nJMT41jiKAofzVEZNdoCkU5qGrqcXAux2G1KHSCzOJZPHd7PKDNTacvntj7D3py8xocO61x/RlBqE\n0YmUAItUNE1jX/wdZu0+wwxXGPLAZgMrMeIh2OPvsA9KiMThYFs219rO2iy6Wu8S1j1gQOlZzreV\nLxSO9GrB6ypsUjGE4ikC9Wewu0ejNRzG6SsBIdDjUVz5JQT9h7G6vDhyhgGCUCTOOx8fA10H23DC\n0Th61Ehps/NEFL/fj9PpZMWmQyDgb+7rXuO3N6tepm7eTFFVlZsXzGXlr9/AMyaP2bfc2K2Noijc\nunAen27fQ0lZSbf9c2+/iU8+3I12MozFK7jnwXv6NYbJkyezdOlSysvLaWxsZO7cuSxduhQwAjKq\nq6s7zbcTQqSNCO6LqVOndttWWVnJ7Nmz+91XOjIN0MjDSJXwIrBYCFEspTwyKCMwMTH5S0EIIR7C\nSLmSLjL3fJ20X6/EMen66an/dO9dCYVCrH/lf9n37rP41NNMGy5QhIpVhZDI4qg/SI4zjphgQ36o\ngQTtMivDbQpSSg58YkzWdjqdXHXrQzRfeS97tr5K/c6X0fw1WAlz1+QwqsVKztUzexxrf8VL0rp3\n6GdA/0RTwlqXLmDi6I7NHOkSMBGOBrl55D/yXuw/mBb7CCEEESGwSkkgqtIchZtL4uw+A4EQjL/j\nH9l38k0m2NIL0SvueIS9P30RYMBJl8+n4PN63Nwye1aP502lsdGYPZUQ8aFwhHuvLuLnfzqOHg2j\nKNazxwgFRQgU1UbLyT14Smd0fL6hGS9fyjuN1I/ycZ0k2GS42HM8BTy/cgNWq5WgbRgAv1tRyaN/\nfVdG9yDdvL7BuHdTZ05h84Yt3HrfzT3+b02cMpGJUyb2OK47v3wbz/z4d8wvvweLJePZa0kWLVrE\nokWLum1//PHHk+7dTEn8HVNJl1JmsOlPgMaTGKWOajAic8/7XBsTE5M/K8qB/wsswHDpds8+eh7o\nS8z1NRevt/l+fZ03gZFC4tc0VP+WKcMbUYUKSKSE4/44vhyNEXk6QqiEL3Ky+5Mw0TiIMQ7CUYFV\nlYSaIryz6h3UyD5a9r6Kb/o3kBKsFpWxw1RkXEVYbFisvaeVGMgD+Io7HmXvT18CBiaaMg2Y8OT5\nuLz0Kt6YrlK13c6VWVGkqvLhsTii0E6hs4Q9Dbs50QwyZwT3PvhP7Hoju0frXSLpshCcUym1rnMs\nzyfpPlfBYJDv/OhJrBYrM6dMQACLvnw7x08FiLUHEFIhGqgncGIHdpuTeDSC3a7gdSmEnUUoQiCQ\nIFRiMZ2dx0PE43FyfMWEoobQyPGNZPPeAHVn/EiXEbyw4t1D/O387ta9xDh7uheDLZC/9dg3zun4\n8RPGc/fiO5hx1V+ubMlU7LmllOuEEEuklI8IIRac11GZmJj82SGlDGD8YBxSehJv6UReby7e3vrO\npK3NZiPXMwyHTScSDhKLaCjEGelVGOkVHGsQ2CyCiy/KYd9UozLGmOFZrNiSz8XDmwiG69j/+j8w\ndSxk2QTRDkuNogjs9iwgCynpPiG9l3Fn8kAWQpyzaEoc31PARCIhcCSk8ZvffRd7azY14Vl4A0aU\n7YftI8grnURc6ijNnxGVOqGc8bzz2/8gFIwQrnfiynGnFaIT7xzchMtDMZevK79+biXbj4WxWnUa\nQoewORzcO6+Bt6pq0bNHIaJtxBWV4VfcSZZdweV0oOs6x3etxZabQzBwEqk1kJc/EtHeTCSkoVos\nTMg5Q0w35jVe7vUTCYc4rPqSwiBoHcZvK9by939zd/La+6qt+3nl6muuutBDuKBkKvaEMEobVQsj\n596QzLUxMTH580EIcV9qfs6u6+fxvL3O2evNstdbn/3Z7nK5mDP/W2ja19my+hkCe14h31qDjAXR\nkVhtTsYVxYjh5KBtHjnT9jDcVkdYa0dKQVyHeyafIdcpCLXFsTpycdjtXDfPSMWyZfXTNH/2KkX2\n/iVT7ushnXo95yqaEi7VdC7XVR8+jRCCOV96gPEnXuPKvBDZ+R5i7UZksrUgh5GLf87hX95FOFtH\nAJNcm3DWvsfuBoWD4UJGTV+QVogORtLlC4mmaTz35jbshVcAkkO1R/EVjeWf/v1pgtaR2HIVmg5/\nhOp0I+MRwlErTockFg1jzRuFt6gUgcAacvLIPVewaesnfNI4FqGo7DpZizPfsAQfa7ZSd6YF1ZWd\nPLcUKq+8W8NX79cGfB9T3bsmF45Mxd7DwHzgKQwXzJC4X0xMTL74CCHmAwuBm4QQD6TsmsIQ5OvM\nJDCjp+3pxOC5kBR9txqir2nPK0RGldEQP8BoVz12BJfNvIPSL/0bT/7oW2S3VKFLHYsSIs8Zw2qB\nSEwSCcaTqWSNPjuLvpFdBFxqkubU5cQ1ZjKp/lxFU6p1D866XDVN4+OjfyC6o469q14j0BSlpTaC\nSiNSl0waYUVe+1eMGj2a41P+mlj9Z1hlGGfHXMYwDopu+hZT7/32OY3v88oTv3+NmNWHVVGQug6K\njfbWFnYG47iHW4hEYtjzRmDN8hI49AGXl3j4yu3z2Lz9FDvkWGxWK4qiIG0XUVvfQq2Whc2ZzZnj\n+1BzR+LoEGLN0kN746dY4woSiapaAVBkK41NAUam/P2/CJY8k85kGo1bA/ykY3X5+RuOiYnJnyGV\nwHYMF+7jkEwpNmT5Ovuy6vUk8rpuGywSoi94m5Eg2WZ3smX10zTtfoXGD17nxHs/A/tEjjSPZ1zh\nXkZ741TV6Ogyxgi3QkgP0TXlaqroSyRdTlTpaNn7Kvkzvkmk5WSnsmzn49p6IzVgYszV5WzfuIr3\nP32DqHqMuwKnuHLEUSjCyKMnolTVQk1sBNOvNuwLE+94hOrtv2dc/BNAssevortLseWXsv/jSlL1\nR2/VMr4oJK16BZcj4zGEasWWU0jTsWq8ZVcSjkSJxsHpGYXmP4w1t4i6thg3Xj2FFzcdwW63dfrM\nv7zpIJacIoQIEZMqilDRgiFcTgeKolA4soRx+RKb3c5Ns4zkwFJKXC6XKfC+4PQ/LMXExMSkH0gp\nm4FmDA/BkNNbMEa6dr0Jn0xFUaau4HQJkktZT47LSt7kK3nz2AFaw+2caQ0R0+NcNc6KELD6M5Up\nPTx4E67Myopf0LL3VUbYTmGTQba/9iNmFkc6lWU7X/RWrqyl+A6czixyPT4+W/0vXN68m7GxGB8c\nBQdGGhkJqAI2HwPV0Yj20v9gsVoZXjKB41mTuaj5ANlSI4wD5YovY/vwp1zc4R5O3JW+qmV8EUhY\n9SxCkPiNFAqcQCgW9FiUqKKCohifa8WKwzOcxtN7eeZPbzEqSyMWb2XutZOx2x1EQmH+64U2kDrR\nSBibEkfV6mhuOMSkKWXcOnsmoZCH363+FJvDxrUzJyYFntPpJBgMIqUckhJ8JoOPKfZMTEyGBCHE\nIjoHaEgp5bghOndGgRr9EUFdj8n0WE3TiEZCuD2+ZH3blr3GfLucXAFYCUXiHNpRyTjfXsa5o1gt\nKgfqJFaLUbjMXXwNF0+8ulvfqf2NsNVhkxrh9hCq0PHZQIie87YNJr1F317xjbdwdtRo/cQ1mpmB\nnVzmNUqrTMgHixGoTFSH9ih8qaCdvIafEZUqasBD1J/D3ngBtsZTxLILyc4v4fDRy7g4fhRVVRGA\nnmG1jM8zmqaxYcdp4m2naY+FiQabCbc14PKMQrU6aDi4GalHyfKVoFrt6PEYQgis2QW8snE3o4ou\n4nS9nwnjW/jG386msTGAjo4Qgo0f7kGMyOXa6ZfwxErBiXYX186cxAuvbSTkGEUIyR9WbTKCaCIR\nvlo+j+dXbkAIwdcX3jIgC59pFbywZFpBw8TExORceRiYmqioMZRCL3U5k+CKvly8mZ4vdV3TNCor\nfsE7P7+DfTs3p+w/2zYUibP7SAtHT/q5WK/k4nwNxagDj0UBjAQaWC1qcs5d9/P3OrwhITk/r2vl\njQkL8fp8OJ1ONE3j1MRWdoctOCwQioPeUQYNIBqHnafBYe3YbnEipWT/yQBnTp9m16k49XWnEG88\nQuTQJj5uOVsVoT+Jnz+vhMIRvnbn5YwecxG5haV4xkzG5nSTNWwc2SMuwZ7lxWrPRagW9GiYWHsT\nkbYGIE5UV6lrE7TKHF7eeBBN0/B63ZxuDHLidAsnW+2caLVxvK4JkTsGzVLAbyvWJqt5CKGwZttJ\n3vrgIH9Y/TFPPL+KDTvrWLfjVLfKJ339P/w5iLwlS5bg9XpRFIV58+Zx+PDZ4j+VlZVMnTo17b5U\nysrKWLFiRXL9qaeeoqysDEVRGDt2LMuXn50hFwgEUBSFRx7p/hkuLy9Plo/rD6bYMzExGSqqOly6\nQ0pvaVYyjcbtr8BL3Z4q8nIOP8FIx+lke6N02re55btv0l76KCeDhcYkfONoLFYbQlGJ6VDXnOhT\nwTtsVPIcmqYRaPJ3608re5QGUYo9y4NUXfgj7iF98PZVriyRQFlc8mU+OaNwsRf2NhgWvUgcdp0G\npwpbj0McFavDxd7oRYwpcHBPWZivTdK5uyzM5bnNjMyOIi5/ACllxjVwP+94PW7OBEKEbcNBtSB1\nHXtOAYpQEEJBxiPG50iA1niEnKIJ5BWMpKCoFIvvEhpPHcSeV0TQWshvXl6Dpmms336KlzceoDHi\noll6eGnNruTnv2LTQRojZy2/Z8LZ7Dt0GH9rlOffqqZZemjFyx9ff/cC3pXeCYfDrHv112xdP3hx\nX5WVlaxYsYLq6mqamppwu90sWWI4KAKBAPPmzeMHP/gBgUCAKVOmUF6ePn419Xtm2bJlLFu2jOXL\nlxMIBHjyySdZsmRJJzEI8PLLL6cdz0CmYZhiz8TEZKjwCSGqhBCPd7zOrXI4RqSvEGJOh4s4k/YD\nnpOXThD2ZvVL1LBNJ/LSIaVhlRNj7sTqm8Ah2zzqZQk2lweLPRtL7mgONtg5fEZitzuTIvLtn9/e\nyVIIZ4M1DNH39zSIUibf/f8MQRkadl5EX3OTn+0bV7Fj0+vs2PQ6+z9exwH1MnadCNKsxboJsER1\njVv/+l/Z3uTGYYGIDrGOSlOqgAkFsNsvCMch2N7KjmY3+/VxnNF04rpEAhFdQZ3xDWbM/zafRUfz\n2Z+BVQ8MEb966xGCwRAC0BoO48ovBqGgxyLYc4dhy/bhyC7A4sgj1HKKWBzC4SjxeBzhcAMCKVRe\n3niQp//0FgHpIWgdRuDMcULhCK0ym1gkhJQyuT0WDRONBI3z2vOwOPKIWY06ukKIbta9dJ+l8/Wj\noq72GH/81Q+6VZxIiLw3fnIHrgO/INJ2ptd+/GfqMz5nWVkZFRUVFBcXI6WkpKQEn8+wqiesevfd\ndx+5ubk89thjVFdX99pfIBDgscceS5ZCy83NZc6cOSxdupSXXnqpU9tp06axffv25HplZSVz584d\n0P015+yZmJgMFU92WT+nJ4IQYgpAR8L3UiHE5ETt3S7t+rTsJbZlcM7+jK/P9qnRsok5e2L6nZR+\n6d/54M3laIf2sM9+A26xnxnzv0m09SQnqv5IW8MR3v757cYxDkEkGiXQ5O/m2u0aoWukXjkbrTuY\npJunN16RbItEqNFLmdSDAMv1+Bg73MH2OsNVvc9vCL1xXthwDB74EhzxRxEiyn3udRzULBwLgcch\nEQh2aiOYfu+3Osq6PYAQkJWV9YV3H4bCEYpywtii9UwoGcGqBoFQVACCTcfJKhyH1GME9m/CmjcC\nGQsSPLqJqMhGtVhxjbgcMO5R0FLIi2t2YMm/FClUorqCpgWx5RXRVH8MX9FYshw2rNgYn13HgcO1\ntDaEyRo5Ba3xKA53EaFIHKdDpwUPf3z9Xb624OY+r2Gw/gZ1tcfYvvZpYkdXI0JRpPwRYIi89996\nlsDuVyiynSDLfjaQJR2H9n/Cng3P0FB3nL/7lxU9tkulpMSot1tRUcGCBQvweDzU1NQAcP/99zN3\n7tnKj1VVVZ3q5KajqqqKKVOmUFxc3Gl7upJs5eXlPPnkkzzxxBPJMSxcuJCKioqMxp6KKfZMTEyG\nBCll5SB3uQBY07FcA9yEkeKlV/py0/aVliVTDJfq2UTKLR1Jj4UQRKKRZLRsQrDRUaj+0NY3OPHe\nz4y2HeLvsumzaQ40snvzK2Q57Yyzf4iqKkgJ4WA721f+EJv13zqlU0klEfXbdXkwSVclA+BUwRzG\nTLw+ec5EpK6UksaA4Zs+6Lya2JGVWGSM4Vngc8GJVsOdm2WVtMYs2EQMh1UQVZ0gJDG9HSkMq16i\n70kpiZ+/6KlCHHYbDZFcRHYufzV/Nq9v/jXBxuPIeBSkRKCDAEd+Mfa8IoRqIey3kuN0oAodV9bZ\nsnnhsE6bnoNNC6JYHdjyigg2HCKvsISsbCtfvyaLnNwcgkEfz63dz4l2J7qqIKWOarGjKAo6Cs2t\nGjablfU7m3jgjvSJlgfznqeKvAJnOzihPWQDIB6P8+S/L2KS8yNG2hUyEXmW0xsocEbRsy/t91ju\nv/9+dF3nkUceoby8nDVrjK+evLw8wBBiixcv7lWISSk5fPgwXm/XxEnpKS8v5/vf/35S7L300kvJ\n5f5iij0TE5MhQRjVd14GmoCXgEPnWEHDTedcfWkjFvoj3DIJ3ugvXatntHz2KgWye2DGodp2LDLE\n2BFrsDscpD68EnnOREd5NCEMkafHUiNtMxtjphUzBkK6Khk3ffdZnCniMmEB9ISPEpx4Bm8ejJgj\nid5guLLbWyF7I3xUC9eOhh2nFS4rlIDKHr9gQpGLvZGRfNJSj1AE0+/9VrLvruLjiyT4ag4Z1qLS\nslIAnl+5gZaObIr/+suXsQ67AiUWp73hMNnDxiOljkDB6S1G8x/FlT8GoTpw5hUgWo7y6GwPObk5\nHSlXNhGzubBZwepQ0XWdkNRRA/sYV5LHyTMtLJ53Hb956R3alQLsXhcx/xFkLIKUOsHGE0Rba1FU\nC8N9OTyw8FpC4Ui3+93TvR7I3+DTHR/y8Yv/yARvI6TJ562qKt/8/37Lh+tXcHLbHynUP8Nq6fz5\nPXxgN5+uX54Ueen66YuEOEuIuqVLlyatfWC4ZcvLywkEAqxfv55Jkyb12JcQgtLSUhobu6cYbW5u\n5sUXX2Tx4sXJbXl5eUlXrt/vZ/r0gdf2NcWeiYnJULEcmAY8JaX8iRCiinOvoDEgdXKuaVdS23c9\nLlGhwuPN77Q9mUg52NmlumX105zZWQHyUK/nczqdXH3bItaHwmx991l8lnaK86E/t6Cvh+65lrVK\nVyXD6+vuWo5cshB2LMXnhkKfIB6XWBTDr39KheNtUJwH/ohCXHFgsRhztNrjoMRD7GnzENVzkNY8\nom8bk9glMObS6eS6vRQWFiYjFr8ogm/V828igH/4l28lgymE8CGl5JOTcXJ8kuaGIwhFRSgCdBAy\njhQqisWGHotidxfR3HAcVbHx+obtPPdfj9HYGMDakVw5Eg4D8Ovn3yQeimMpmsTOw4c4E20h9txK\n3vyoFt1VhFAUVIsDoSgUFpUghCBwrIncUZOx2SycDgTxes4G/CQCY1JJ3Zf6nimXTZqJ1/d7dq5/\nlvjR1eQ7tW5tFEXhqpvK0WfP7yT6EoSDbcSjQRxKrF/nTqWiogK/38/jjz8OgN/v77R/zpw5zJs3\njx//OLMpyFOnTqW6uprDhw93Eo0vvvgiy5Yt6yT2wLDu/elPf6K5uZmHHx54qlJT7JmYmAwZUspA\nipg41woaAUgWkvAA/nSN/vu//zspYGbNmsWsWbN67bSxsRGn00lWVvqcdD2JoWAwyJa3nqF130qK\nrv0uM6+/I227rm7UqbO/gu1WQ/TV73yZg9ZLcYf2J12+XXE47IwZPRyviHPwlIZFhhDWXi8JyPxh\ne66C77LbFvP+D58HYNy0e6mrO1uvNyHCrrjjEd7/+HkuogEhII6CRYCQOvE41LaBQ4VAqxVcXhoO\nncZGjPao5HRzhNGOdYzMUWieIfFlvQ5AXKrEz3g4tF/CjE8YPnx48ryfd8G3Yc1GmmpaANi4ZhP7\nG9poxovA+Hu4h5VyuaeeT4MOmhvPEDq8iVhUI2bJA+FAdeaAjIOwEZMKIa2Vqpowx48fZ/To0dw6\n2/jMP/nCG2iaxumoF1uuhXBMp01m4484eW7VFpyjZiCicaQEu3sETYe2cNVVY5lz9WSeWDUC0SEa\nN+w8zYN39lwvN3Gv33vvPd5///1O2/pD0egSiv72X6k9/rWk6IPuwi1V9H204RUsduP/65IrZnLJ\nFTPZs2ML+9//LVmB98mx928cN910E3PmzGHhwoWUlJSwZMkSFi5cCBhCUAjB4sWLk/P4AEpLS3vs\nz+12s3TpUubOncuTTz7J1KlTqays5LHHHmPZsmXd2peXlyeDQtLtzxRT7JmYmAwV24QQTwBuIcTj\nGGLtXHgRw1K4DigB1qZr9J3vfAchBIqi9JifKlXc7Nq1izdXv8H0qTO4++67k6KvJwGkaRpb3nqG\ntv2vMaJj/l1PUik1514iMCNRumzO/G+j3dq5fFrXOreJ1CoJi6BbvopXnCSu93DCDvr7oO3avj/i\nr62tDfvMA+R7BJHaq4h0bPc36jB9F8OHD8flchEddxewEwDFlkUsHsIiJIEWSfECKPCCQhhVOUFM\nB38TfGkLnGqDmOrCZhf4PBrD8o2xxVQXVqcFIeJpx5W4hs+b6AsGg7z3+masFkOxV766kX1ZRQjF\nsAwrioLDYWfX8Qhq7kWoSj6i8QjWeISs/HHoWGg5+QmhNhta4wmk1ojDV4K0WPnej5/lT7/6F4Ck\ntbDm+ClE1ihUoPHUIXKGX0Ldkd3o9gJ0KRGoCAUUIcjyFbPtgJ/xYwMoeReRsCK34OWPqzbxtYW3\n9Hpt11xzDbNmzULXdaSU/PSnPx3QPUoVfRtee6rHdoqicOWc+7ttv3TSVVw66aqk6GsNZB6NO3ny\nZJYuXUp5eTmNjY3MnTuXpUuXAkawRXV1daegDCEE8Xj6z2CC733vewA8/PDD1NTUUFZWxrJly3jo\noYc69QOGOCwrK8Pn85Gbm9tpX38wxZ6JicmQIKV8WAixGOOJcUhK+dg59rddCDFNCDEHCEgpd2R6\nbG8Jk4UQ6PE4Wz/cTNW2j5g2bQb33nNvJ0ufEOKsJW//axTZ68h1nI0ETPdVnMi51ymS3xlpAAAg\nAElEQVT6tkvpslSrX9c6t6mkRtkmRGH2IM6X6qmPTB8yw4a7GFag9tr+0rl/i7b/P4hJgdWZRSwk\nINaGEBKv10qB13hg2o0AVFShYxEgLS6cw8ZTE4xRzCcAxKSKxfHFzKu34vevINrV5IdGb4WxuQ3c\ncOtlyTatLa387DcnUKQVLHnowgpWOyg2FCFw5A7DllNItNVPPNuHxeFCUazsOtFKQ0MD+fn5/Obl\nNTTG89CzrYQajyORREMa8ViUYFsLut5EtN2PNSsfRbF0TCrVaYlYeOW9Q7gKxiZrDwsh2LCrnoV3\ntHcL9jlX921vFI0u4SvfHHjGpoToO3G0pu/GKaSLlAV4/PHHk+7dvjh48GCn9e9973tJ0dcVt9vd\nSTBWVVV12t+XmEyHKfZMTEyGBCHEfVLKp7qsn9OcPSllIu38uj7OnXY5dT3d9rjeIfqqPmbatOnc\nP//+Tq6rTMVPMBhk81tPE9jzSofI6z16MEFfkbMJ0dfQ8GXaW5u67R9sK1amLt5MgmGcTifHWu1g\nEVhCOlLaibdrNLQIvCOykWoIgHA8gip04hIqjwhmj4dPcibSKDWK5S70uORUkw2bFkMoCmf8cSK5\nhuUmde5e6tg+b9a9VJw2B6Vlo7nlRqMcXs2hGp5/7TOcI6cQDIVBsaBLcHpGG38PxYLdPZLWun3Y\ncgqIh1uxunxYnLm0n6nhu/+2nCf+4x94eeMBQtZCVNWKolqIxaLYswtoOVqFPXcYMh4jovmJtgew\n5XhRUJEoWCwKerCJRdfnYrPZkR0Zk6TuTQZpJObs9TZv7/N0z0eN6dnN+ueKKfZMTEzOK0KI+cBC\n4CYhxAMpu6Zw7gEamZw/+X4uc9G6Hut0Opk9/5to2tfYuvpZWvetZEQP8+yCwSAHdr2HtWEfhUVO\nVHVwisl3dQePKTlbge58PVzPdU5fauoVLf6fHGsAq82GlJLWE7sJRnRUy++xEMMi4qBKkBKLALdT\n4UhjjOtz3+J0JE5ch7oGaAmGyHeEkXHw5ILSNIdDR+g2dy/B58mlO/+v7+Mnn/wnQjMexzI7zvy/\nuS+5/+VnXmHd4RB4ioljR49GUFS7UUWjo40QAj2s4Rw+HqnraP7DWF15WCw2qg618J/LXyJoHUZc\nlygK2PJGEPMfxekdRbj5BE73CBTVRtNhP1ZnDvFggGy3D9VixSlDfGPhHK6ePjEZlNGXiOtaJs/k\nwmOKPRMTk/NNJUb+uyXA45w1aZ1rgMagkU68SCmxqBamT5vBPR1u3HTtXC4Xs+d/E7//Qba89Qzx\n42sY2bEvIcZa965kck4dYUcuBy034g7t6zEAIxP6cgef7wfsuQi+ROqVCbYTTEjZ/llkFFO/8RbN\nLS1Eap8HixPibYY7seN6GgpuAHcWTutHOG0KR5uMXQVFkO81xqPrYLGqKGrf9+DzYOVzuVxcd9cs\nNr5gBDLceOc1OJ1OgsEgmyrfxX84wJj2VmJ6LTU1ddiwoMcjnAkHUC06I4qKsLlyiLgKkPEoQrGg\nqDbikSA29wga9u7jj+tVXMMnIBQJegRFKKiqDRkLY3HlYVdi2F3ZOIpGMvtyNzarjXHFo8jJyUaX\nOtMnTcDjzus07r6EXiai0GToMMWeiYnJeaWjHm4z0ClvgBBiEpDxPLvBpidLn5QSRVWZPnUG99xz\nT48iL0FqgEbRtd/lsvu/RWtzE5UVv+DU9gouctUz0qkCAodN5bLpd3DZ9J+nDcDoi2AwyAdvLu+W\njLnr+IeC3gSfv7F7xIi/USevLH3y5UQ9W6/PRyQa5VTjWbeuKuIgoa4RRsy8l0JPHqvf3EORpYHG\nd3KoV4ZR+HdNKKrxOFNUUFQFyGxe04USfIlrrzlUw5iyi/CU5NLa1sZFZRcB8OxL77Dh9U1MzB1O\njjOHNtEMrjZGuEcSlzpvt7biynHy8q+/w6uV23h1e5iW9jASBZf3IrSGGrLyi7G6PGhtTWS11RIM\nRWirP4iroKzDMijJKryYSOsx3L5hyOEXM3KUnYceuDXt3LuexF1XN65p2fv8YYo9ExOTIaHDnZsq\n+EqAcT00H+xz97qeysSJE7nyyivTirzGxkYcDgdZWVlomma4b1MCNASGmFEUBSEER89EWN9YwFh3\nE9eWxXHYjPljXcuYdSWRq69r+TNj7D1f51A/WNMFbhQWFsL0Xd3a5pV17CN98uVEPdvU47eteoJL\nj/waqevsP2rly1/6Vxr2SgpdGpZ4OwGpYB1/G4I/dAi8gXEhLXyrfv8GCLjrr+/guf/5Pauef4PF\n33uIV9bvJaR7mBCLYrNYObz/CBd5ixFCUO2vxVJ4CREkz72ynrer69FdRVgU0PUYVpsFR46NAn03\nrRZB9qgrEULHZtdxoeD0FKGoluQ1a1FJLBLCYrOzbnstD95pBF4MRLx1FYc9zeczGVpMsWdiYjJU\nPAw8BiwGKjDKm513+lvP1ufz9XjM9u3bWbnqVXzOGMXKHsbmNTLSYVjtUvtIlEoLO8uoqfgD+8MF\nHNx2xhB9l4eSbV0uF6FQCE3TcLlcaVOypNI19UpzSgk2LuDDNPVBrihK2nlyqaRLvpwIREk9/sa/\n+j57f7oagItvv48ze35O7aQGfG6I65IiqZMVeYF4rBE9XviFEXyJz9eGNRtpOmzk13t++R9oPtGO\nbFL5xx/8nIjzIrBK9p7ZxSW5bmKxGAiIxKOcsmaR7R0FwAuvb8XtzUWEAtgkKBYr37nveqQs4omK\nj7BlxVGEQkzXkXoMqcdpPraTPE8+CCPUOVtp46+uclGQnw+ykFA40mOUbWK5p1fX/anrJhcOU+yZ\nmJgMGVLK6o6HamVHGpbPLT3V0NX1OCf9GttO6DjthVyR7+fG8XrSapeK3W7H7shC2l1ErC5D9P3h\nFY6e1igvL8fpdFJdXc2KVyvId8aZ4NpHac6ZbnPwutIt9cqeV5PzBC80maZpSVj3gKRVrysJUSgE\nzLjjUd7b+SIXuRsYli+IxgXYsrC3qZw+Daol3mmenr9Rx92xrOs6dXV1NDQ0dDtHfn4+w4cPT1pj\nz6coSb0nwWCQd1d9gEW1gpTsen8nLkcW2a5cPjrYjn14HCEEp9Q8nHVHKS4o4UxLPTXBIJYRl511\ngeeMJKA1kzviErTmWvKHj6euSUNKSV1LiHiwnbbj2xCufFQZwRJrR7UpTCtWuXuekWxZSsn0SZd2\nq4qR+t51OR2ZCD+TC4Mp9kxMTIYK0eHKRQixCJLP4s8FjY2NuFyuHitnJBBCYHdm48wbjs1m47NQ\nPrs2N3BFvp/ZKVa7bsc4stBtzg5RYWwPBoNsWV9Bs/8UISscD+qMzVO4tiyeURlPl8vF7Pu+hXbL\n19O6gy8kfQVxpAq53tLLTLzz0WT76Pi7SSRi1i0uAq0OpJQ0tbqJe14k32MkIs7Pz8c9Vkm6jevr\n66laezl52U34UmrQSx0O1XhQrtydtCYOlYVvxXNn8+sdrT3KSM9odBln06E92C6+CT2mIxSBdI/i\nYO2nZNuyCEcjNDjyyPKOgo5YXIdnNC3HzxCORolJlXg0zDtb64ijI1UXliwHMh7HmT8GgY47x6iz\n3Bhv4NqZk3qsgpFKOqte1/09icM/B7GXqH+7bt06pkyZwssvv9yp1BlAdXU1N910U9q6twAej4fm\n5ubkemlpKUuXLmX+/PkAaRO+CyFoampKJlM+F0yxZ2JiMiRIKecKIUowonP/L0Z07ueGXbt28dbb\nbzJ96nTuvvuevkUfHYmZVStO9wgOx/L5zR9f5Wi9xv33l3d6iEopQQiunHkVDzzwYFLcBINBTp9p\noqlFQ5FRvG4PhyI+Dlb7GRt+n8tnzMnoYdxXPr4LRV+CLyHkeiNx/VJKLr3pb9D2/zsxKQhoTvwN\nDfi8MHYMKMpClBYFf6NOYWH3lCsetyDfTbLihgRiMYlQBfX1nSsqFBYWnlN6ma701lckGiEei2Nz\n2QhFQ7S7L8IGKIoKSHQZJ+gr4VRjDVKXOHILscl2VAFRXSEmbFgcucQiYWx5RTTVH0P3FWFv2Y2n\ncBK6lAyL7mXihBASyfiSYeRku5CygGAo3P1zmua963JivauI6821O9j4/X7+9OKfePCBB/F6vX0f\ncA5MnTqVRx99lBUrVvD973+fhx9+mDVr1nRqs2jRok5iritCCKqrq5Ol1F588UXKy8upqamhuLgY\noNP+BIMh9MAUeyYmJueZjtJo6ViAkZLlvJJxmhBhZKbf+uEWqrZ9zLRpM7inB9EnpURVVGw2Gw6H\nAzCqblgsFlLn70kkqmrhyplX4vF4Wf32W1itVubPvx+Xy4XT6aRkwgwa2j9E13UampsRehSPM95r\nIMYXAV3XO4morkEciqJkJGRTcTqdaBYHWAyXq8ct6RqNrEtJfX192oTKnceHMc9Rb6T58GxsLcb8\nNX+jnszPNxhCpafP3vy/uY9ln/yc2oMnKcgtJC7jxHSdsnCAup0rGeExHPNnAqdxW6xkO3I53VxH\nSdsOhtW/zbDcMG83XgVZY1AUC4rFqFsb0xV0PU5dOI/Cjlq2OEbznUUPdLvffYm5vtoktvXmuh2o\n6Hv77dVkZWVz7bXXpt0fDGp8+NEWPv10F9OmzuDee+/tJvra29v7/NHWF9XV1Qgh+Kd/+icAnnji\nCY4cOdKpzbJlyygrK2P79r6/zhLibdGiRSxdurST2HO73YMm7rpiij0TE5PzTRVwQX04/ckLl6ht\naVTO+IhpU2cwf/78ZKUAi2JhxoyZeL0+Xn/zNSKhdiItdUy4fAbf/f7/62RhmzJ5CldfdTVZWVlU\nrqskHo/x/gfvsfXDrVw580puvfU2Dn/2MVLqKEKQ5/YgkMSDDehfYLcXGK7Tw1UT8Xk7C67UGrkD\nIaDZUVsVGhrjxGMgpAQFoAEB6BJqtl0PbOKyyy5DURR0XcffpOPJJVlHWO9IMKyoUOBTGVagdjvX\nubp0e/vMOZ1OrrtrFs/97AUkEqvNitQloyw2bLEwI7IN4VLkzOXomcNIqeO0ObDE8rAzmaOnPmRi\nVhVjPDs42eJAeGdTNGY8UvqoPdPEHrUk+blvwcvzKzew6MHbkufvScT1ljsvsdyTVS/d/oGKvZO1\ntWze/D5r165h7tx5PYo+Xep8VLXVKG3YRfT9+PH/wOPxcteddzFu3MAC/6uqqpgyZQqPPPIIlZWV\nTJkyheXLlyf319TU8NRTT7F27VoqKip67Sv1Hqxdu5aamppOlrzz6eo2xZ6Jicl5RUrZ+zfg55Vk\nHdCzmyZPnsxVV12FEIInf/4D2uoPMcFdz7VT4zhnXdPNlZrOvSSEIBaLsm7d26xe+RtCTSexFl6G\narGRnZ0DgOLxMWxkSbdjuw3xcy4IfV4lrYgaKEZalk8QQhCtr6fp4I0gGlEE5Hfcaikh39OM/+AN\nfMpGCgsL2bt3L35/E+5sKPAYIi9JH7dwoNU2MvlxceO8G/h4UxUHd9Uw2jOGWDTGsfqj5DnzaAu1\n4bI5aWprZJRvNAJBU3sjWqidIu8owrESAo0FXHfzJVzctJmR187iyhvuRNM0vvr/XsDhsHcay7rt\ntXzlbq1Xd/9AgjP6suh1bdMfLFYLp8/U8dvfPZux6Nu8dTOPff8xxo0bh8PhZP+BvSz9yR4mXHLp\ngERfIBCgoqKCp556iiVLlrB06VLKy8uTbtwFCxawfPlyPB5Pr/1IKZk6dWqnbcuWLUta9QDKyso6\n7S8rK+PAgQP9Gm9PmGLPxMTEJAVdSiwWS9qkyk6nky2rjQTKV4hapk9VOqJwM0v5IaUkEtbQY0EU\n4thEFLsLsOhgs2KxWLly5pVJN29ffQ0mvfU3mPPXzoXUtCy6rlNTLZFxGFcC+V2etfF4U9I9W6jE\n8V0Oh47CB9vA5zGCMwACzZLx4zKrtnE+uP9r9/HRBx/x2bqD2JxWopYwjW1+nHYXFtVCJB7GbnUQ\n02P4snxkObLZW7uH8cMvBvJ5643jLH/lTSLhIFJKgqEwX711ArFIFACr3QZSImVBMqVKfyNsU5d7\ns+z15eYdKAnR95vfPsvatWv50Y9+1P08uvFj7L575zNs2LBO+1RVGbDo83g8zJ07l4ceegiApUuX\nJoXdU089xbRp07jxxhtpaupemzoVIQSVlZVJS16qyEuQuh/S/1gcKKbYMzExMQGQoCoK01ICNHpK\nvwKQ61QHJACklES1Jibk1XPdhDi7awUf1TUwbuwl/J8ubuDe+hgsMumrP27woaKhoYFcVxNdp+Xp\nHZejKGfds3pccKoOfF7wulPcs/LCC9nSslJKy0r5r5pfgIARk25k38aD/397bx4fR3XueX9PdWu1\nZKlbixc2SzYhJiy2Jcsbi0EW5AIh3uQEskxuggO8ZCaZvCwhmUlI7rxJTO6d7b7vDNfmMjMhG14I\nBEjAlsEE4w1bNnBvEoItGxIby9Zq2ZJlqeu8f1RXq7pUW7e6LVs+38+nPl1V59Q5p6uX86vnOec5\nhLQQh44dpHrCNHSpowmNytKJ/KX9A0ryS8gJ56IJjXBfLm9sfoNb7riFlgMtAPzNzQv4f//Xswjg\ngb9dGvgzdno19/0se5l249rrKCgopP6mBSxZsjQ5zUPkOZREa+tRPvjgg8Bir7q6OqntJSVDy8Y1\nNTWxfv161q5dmzhXVlbGnj17HMVcNBp1PG+tyyt9JCixp1AoFMA111zDnDlzPJdHKygo4KYlD9DX\n92V2vPwUPe89H3yNWwnhcA7X1X+Sv/mb23j79V/Q/sdfM63yMJ+Y3OboBs42qXTAmRR8Zuc/kvKi\n0SiiPALSEHwJ0afHJ18Ag4MxDn8UQ+o6be2G9a88KgiHAAS6LhGapL1TR9OM5dWs8fnOJnd+4Q5O\nnz7N0//5lxTkFxKLxRLjNnVdJxxfDu50fx+XT/44uowhtBATSibyzJr1XF9/Pb/52UsIYOVDX+GZ\njfsAwZdW3Jr0vUr1M7cfu7lp3dJHIvZMkbdgniHycnJyEml5efnMnDGLu+/6nK/Ii8ViRCNl3HzT\nzdx66ydT+t7V19fT2NjIhg0bqK+v55FHHqGhoQGANWvW8OSTTwJw4MABampqOHjwYNqTLDo7Oykt\nTf722Y/TRYk9hUJxweHU8USj0cCdgBHf7mv09X3FWDLtveeY7HPNrFmzmD9/fqLjtQZFbreskWsu\nyZZN4ZeulcV6XZB75bZG7vjqofLSFXzt7e1ostNx1rI5CeP48XbCIcOip4VAaBAOSXR9SBwODkLr\nwBOUjP/YsPh8mca0vFVPrXZM3/RcE3q34a7OL8zn8smX85fjHxIpihLSwvSd6SUvr4CB2CDhkGUs\nZL/G33/vHxhsNW7Gd/7uf9AjjfGfT619ma99aalTda7WPDfXrdP1qWypML64mEU3NwwTeSYVFRX8\n+29807OMwcEBSkpKuXlh6iLPyubNm1m5ciWNjY00NDSwbt06INnKV1VVhRBiRLNp7WP6wLAe3nzz\nzWmXaZI1sRcPntoFVEsp1zikr5JSPiKEWOmUrlAoFJnATVCkY12yro0LcdG3zBB91qDGToLNafyN\n0xq5zc3N/Pq5ZwON3QsqDLMxkcNvjF9lZSXUvj0sbXw1SWJqJIJPaAJNg/YOmYjAoscgpo+nq7sb\nIQyhN6F86BpT5OnxqC0hDXoO38OhUyHKG4bH53PDHlrGilvYF3Md3G987985pr295x3KwxMSy98V\nFo2j56NucvoMsSOERne4kI/a/8rcCcYEnrZTx5lcOZlDf/qQqoppnBkcYPPev5B/WR0CWLvxbb68\n4pOuY/X6+vriFrSCpPNBxJ09fybFXmPjipTyO7F82XI+8YmrRmyRnjlzJrt37/bMU1paSiwWc013\nC7ZsouvDH4wySVbEnhBiFoCUcrMQoloIMVNKaQ9As1IIsZTkhdEVCoUi42RizJAQgr179/LCC89T\nVzeHJUuWJok+q+Bq3tvMc8/9mjl1c1m2bJlvrK+k6wXDQrRYRZ/1fdjrcRJ92RB6fkgpA62Ra82f\nbodcGTUCXJu0dUra5JNo3fegDxpBbnUd2joMyx5AWdwzpmnGuZKibkqK4A9/+AOapvnG6AMjtMyB\nXVc7h5apGy4arevgbtm4hYW3LExK62jppkSL0tK6n2kTP0Z/3xmOn2qlMK+Y8vEVSCnZ23mUzsJi\nciNRTp7uIS8nn/z8fDr7OphcegkA77YfQxZNQmCI7h5ZzFNrX+aBf7MkUZ/1O/Gz515DCMGXV9w6\n7D0GmZCRLcteJrjqqqvPep3nKumvGu3NCsCcmtKC84LnK6WUl0spX81SGxQKhSIJr0HmQTCC1g7y\n5vatPProI/zs5z+jt7d3WDkCQSw2yJvb3uDhRx7i6ad/mpQvaF2m6Hvo4Qf56U9/Sl9f8pJow+t5\n2rE9o0GqHXw6bW3vgOM2g4lAGHH19J8QjRghWTTNeI2WwPF2+ON+47rjHdDeaczOLYvAiQ8aObDr\naleLnR0ztIx1s4s/SF4HNxzK4fUX3kx8lmba4JkYeaE8CvPG0dvfy+n+PlrbWinOKUZogkH9DN2R\nSxElk8itnMq7Pcfo7OugvLSCiqoycsO5nBkc4MAZQX7k4kTdeSWTWbvx7cT3wnqfT506xatvH2Xz\nvo/o7e0dZqVzIuhkDCkluq6j63piXzF6ZEvslQLWn2CZQ56oEKJeCPFQltqgUCgUw/ByQwUlIfq2\nbeVbjz7C0z97epgQM/P5CbbgdXq3Z6TiMltkS/CVl5ejhaOIUEVik5QxOCjRuj5DmfgqFXEX7oRy\nmFQJEysMUdfRCe1dZp1Dlj8YWoHj6NGjGRMoiXVw44iTITb89FnHtEmlk/mw7RBHOg6jASV5f6Eq\n8jx/7m0lb+LHyY9eQm/nEforpjL5iolEq8fz8A8eRI6L0XvmNPmF48lhkHH5IcblhSjKDzOuOEJH\nZ9cwy9wvfvM6J2SUEzLKL37zeuK8NU+QzRR0TiLPmq4YPbI5QcPTJm+O0xNCNAgh6qWUm7PYFoVC\ncYHiZa2wuw+d3IlBXIxWN6K1Dl3XQQylehVjjr+zluMUdy9Yp3luhUlJxU0bNK+maWhCoMeGBJku\nJUJAeZlxr3U5NDPXja5uiJQaIjBS0oWmQaizngOHcHTHZouCgnxODpwECadOn+SSaA91VX/lmktj\nnBmAtvZqcuMzcmUoD1E8icNnPuCez99OQUEB198xn9/9781M109w1fQzXD3jchJfFXnRsDVwe3t7\nefXtowhh2GJee7uVz95xKjG2z8+y52bFswu/0XTjKobIltjrAszRyBGg3ZoohFgJdEgpN8TTqoFh\nYu+xxx5L7F911VVZaqpCobCzZcsWtmzZMtrNyApBRJ/becmQcMwJ5VA3Zy5LlyylsLDQ8fozA2do\nO97G1Opp/Mf/+F3Ky8uH5TExJ2ZEo1F0XXL9ddcHCq5sticczmFO3VyWLl161kO4BCFdwec2EULX\ndQov2cj+dxYRKY3njUm6TsDUy+Lj8QQgDMFnCr+BAejohmlVEBuE0hKoKIOKqDEzt63DEI26JKne\nIOP4nOjt7aX+Uzdy4N3/g+iNi7WiGMu+aMyQNdfIFb1htBxoPfYa9dM/4NpLB9G0EFLqbD58CTkT\nPp4oMz96MaeO7+ePOuTm5dLb28vCW27k7e3vMllU8vV/v9LxO259/fnzWzgho4kHkBNE+dULv+dv\nLWP33ARbkHN2q55y444u2RJ7zwC1GAKuCtgEIIQolVJ2YYzjM6e2lJnpdqxi78iRI1lqqkKhsLNw\n4UIWLlyYOP7+978/eo0ZIaZwcOr8zM1u3TNxsvKZa+NaJ2gMqxNJKBTmkosvJaSFON3fx/ce+673\nDNv4xIyjrR8RDg8PNWFvm7Ue6wSNc9mCko7gO3bsGC1vXUOkJDm9vVPnTPFaplWFmDQhjK5LWo8N\nIiV0dgMCNAGhkBFfTwMIQTgUD6yMMTlDaENisL0Luk5AWbSdSDHQcRMdnRrtnTp63btMnpwcYMct\ntEwphsh786U1nPjTc1x0/Te54c4FbPn5VgYHB7l64fSEpc1cI3fLz7eihTX6Yr3khXPRhI6ux+gf\nEPyrXktIDqIPDCKEBlKSGxvg4p6j/F/f+CF3LL2dlXfdxp2fv931Xlrp7e3ltXdaE1Y9ML7rr75z\njM/c0ZtYBzodcecm9M7l7+WFQFbEnpRyrxCiVghRD3RJKffFk5qAWmnM0l0W/9G3WdIVCoUi41gF\nn5d7ykuISCmZOWMm8+fNd7XkmZj5tm/fzvoNRnR96wzbOXVzaWxsTHKtmYS0EFLXh+W1unhNZs2c\nlWhPKmS6401lJm2qgk9KSaQEykqNNXBN9JjkzweX0RMyJkkcb9dp72inPGKIt44uI97eH98HhDE5\nIxaLO7glvH8QopHk8XptHcZEjoqo6f7tRAsJYoOS48ePM2nSpET9FRUVyNnvDGtzzqRe3nn9V/T8\n+Tkm5x2lON9w4y9suJF9297hD2//kaMt0aTPwEyLxWJcmvs3HDrezwcd/8LFkT9xSfQ0N+VvZPM7\nf2JAFlFeXI4QGr1nTjGhdCLNsSJe3NbCgqv/wJVXXZm4b273E6DvdD9fbLgi4e2XUhqDF2WUvtP9\nw1y+9s/Db8ye2znF6JG1MXtyKHbeZsu5Wsv+hmzVrVAoFCZOlj2nDszM4yVEotFoYg3McePGueb3\nC9CcSpQRI+Sac0eZztqZ2eh0zTIzPS7PiiZA04YsaZoG0ZJuOrrgeLsRt68sChUROHrMiJ9XFjVc\ntGb4s+MdhtXv8imGGBQadHUZ4/XMMCxJxOPwDTsPw0LL9PX1xS15v2Zy3lHG58d9yBYmTKngg3f/\nSkfLCbZsfJ2Ft9yYSLvz87fzwjMvUqgXEwuBCNXy1+6raT7URE1VNxcXFTIoS5kwvoJwKMyx7lb+\n0n+anMnX0nZa50f/8DOe/l8/dLzX9tdopJRbFs51TfcacxfEomcXfcqyN/pkazlD7YEAACAASURB\nVDauQqFQnBWEEKv88tg7NHM/aAdkzde8t5lvf/tb/NwWdsXv+lAozHULrucnj/89X/jCFykoKKCj\no2NYGW55U21nOukjJZXy022Lrg9tHUYYPY63x4ylzzBEmC7BkIVxsSUMH3BIABJOnISK8ni8vbjV\nryJqHJtLr2lx925MB6kHG3PmpV/7+vp4f3cLZSVl5IRz+L0l/AoYq2qUlZdxurcvMeEnJ5SLFprB\n7kML6I8VMzlyceItlRZFOVYYMfJKONhTwMsvvOL6UOOFXcg5pacq8OzWvWyO2Wtv7+TVrW9lrfyu\nri4aGhrQNI3a2loOHjw4LE9zc7Prw1dNTY0xoci2heKroLilnThxImPvQYk9hUJx3iKE+CqwzCuP\nm2XCKY9Tuj2vW6w9az5TxJlj6hbMHxJuScGXm5t56OEHefrpn9Le1obQtCSRl4p71qtjP5tutFRc\nd6m2yRxbZxItgWlT4Mzpdra91c+ZM5L+M5LjbWDMpZFoGuSEu8nJEWgh+PCjIiIRmFCuUVEGl182\nNG7vdH9yfZqQIHWQsH//fk/BUlBQQP2yf8cnv/kSp6rv5/DpCUnvb8PTySFWelpPsvq/JC8etewL\nSznSdThxfOxEKxXjKwmHcsgJGW58gSCmx2jpO0WofCoxPUYoFEJEp/DU0xsTAtLpO+z26rSfrkXP\nLvSss3TTZeNr2xgYGHBN/8WLb/CrTe96fp+8Vrfwo6amhltvvZWuri5qa2u5997ha0GsXLmS7u5u\nx+v37NlDV1dXYu3bpqamxLFJc3MzXV1dia2zs3NES6/ZUWvjKhSK8xYp5WohxHKfPAmXoVvnZU23\n7gOekzeMWHtvsGvXTmbPrqNxuTEOb+/eZp57/jmmTZvGww89wqWXXurstrSsltHa2ko4HPbs1Lze\nY7ZwKzsVl61X/iAu4PZOHT021A5Ng86uofF1UsKhw5JQCEKa8VoWSV4mDYw1cUuKTtLRacTdQ9cQ\nmkTTjLJzwkagZhgK2aJphgXxyJ/u4dix63xDsViXwNv+uyfptqx7nPSeutroeKuNlgMtibVyCwoK\nuHj6ZE68fwpNC6EJjdauj6gsnYgmNI50/pWJpZMRORpHC0rI0UIYqlYgBHykR/jlP6/lbx/44rD7\n6/SAY75myoXrJfTS/Y4ODAzw09+9S1t3L3cvHr4+Q3t7J1veOU6PPo7fbt7G7YsWDMuj6zpf+84/\n8F+//3Xy8vJSqr+5uRkhBA8++CAATzzxBIcOHUrK8/jjjzN16lT27rUvFDaEVbhFo9FhQq60tDSj\n4s6OsuwpFIoxj591z56WDlaxYgY5fvudfTzwtfv5xje+Tltbm+e1IS1EOCfMxk2v8OUvf4mnnnoq\nkJs4WxY9v2tTLTddK19lZSXFUzaz/4MS/nwgHhpFH4qNhzAEWaQkRGfX0Li8YcQ/nuIio4yPjkla\n2yRtHUP1VpQZ5YIxM7e9y6hrcBAuuSi17tIUfZ/85ktcce18ln1hKXKcYV36qO0IpYURYiclax5/\nKum6b373G3xw/BDHu1spKSyl82QnUo+hyxgn+04yKM+g5WhMCR1n4kev87G2d7n8+NvGFuviTGxw\n2D31suBZ94O6cP2CKNvPjcSyt/bFLbTForyy8xCDg4PD0n/x4hv0ahFC4Vyef+M9x/fw4qY3OdB/\nKb98fkvK9e/evZtZs2Zx3333MW3aNFasWEEkEkmkt7S0sHr1alat8h1N4km2Le9K7CkUijGNk9Cz\np1mPzVf7eDony0hYC7Ng3nX86Ic/5vOf+/ywGbNCCIqKizh67CO+9Ldf5Otf/7e0tyeFHR2OMGKn\n7di5Lb7qxv8JtOqGX3tTIei1qYrJIILPnkfTNK666iqmzHyN7lPjKSuNx8UrM0RePPQhJcXG+Lo/\nH4QPDhveV+v4Pj1mWADN0CvmuLyuE8YSasfahqx6YHSO5gocleVQFgmRDoWFhZRGyozAx5+aT+/p\nU5zu7ePkmZNEC8vobx3glRc3JvL/dv3vuLjyEvoH+2nvaeOqy67h0PFDHGxtIS83D1msM/njlXzt\n336e+752F1UXR6mOVlIdraTqkjK+uPKupHvt5c51uudBLXpuQZTdjtMRewMDA7y88wOEFqL1TAlr\nX9ySlG5a9UwOnSjkt5u3JeXRdZ0X3vwzoXAur+z5kP5+m6/eh66uLtavX09tbS2bNm0iGo3S2NiY\nSF+xYgVr1qxJEoDpMHXq1KQxe5dffvmIyrOj3LgKheKcJR6A3Y4ZkD0Q//iP/4gQAiEEc+fOZcGC\nBa5uKKt1bt++ffz25ZeYXTObT396cSKmntQlIS1MXV0dSxZ7xdqzH0sOHjrIo9/+FtctuD6pw5BS\nooU0cnNz0TSN/tP9xni/cJigq2GYruM5dXNZsmSJ53i/TFsR7OX5hbDxy2t3l5uCr61tAwhjoLxx\ng3UQxsSI7h5jJu7HqqC0eCiI8lAcZIEQkmgUykoFFVGj3sFByf5Dpew/1GWEeIm7hsvLjPh8AEIT\nlnLS56ZbFrLuqWcpLYrS1dtJbkEuAC/8799yQ/31FBQUMDAwSFFeEbHxlWjCULMD+hmKCscTnRDh\nvkdXkp+fz29+9hIA190xn9d/aQicG26fl4iRZ7+P9nN+Ii+dzW7J27VrF7t3707bwrzupdc5PlAS\nj4cY4pWdh1hxxyDhsCFdTKueiWndu61+fuJ79eKmN/mwpwgtDJ2xKL98fgtfsgSO9iMSidDQ0MA9\n99wDwKpVqxLCbvXq1dTW1nLTTTcljb9Lh6amJqqrqxPH6cy090KJPYVCcc4ih0I4pc0DDzyQ9MTs\n1fFYRZ/hio2xY+d2du95i9raOpYsXsKMGTOYN2+eb6w9s7yenh5CoRATJ0xMDBJPXCYhFAozd85c\nysrK+c0Lz3G6/zQnek4Q0kIU5AdfIk0IwWBskK3b3mDnrh3U1c1JrO5hb1O2MesIMq7PLrLd0jVN\no7y8nI4DgnBYmvMvEALa4/2sKdTAOBcKkSTSOrvigZbDZYkPQQvpDBT9f/QcWUn1pT0Jd5eUhktY\n142ytAz1ltNnfIy9r71DxbgJiXPjw6VsePpZPrfybnQZo62njYriCgZjMQ53Hqa8tIKqi6ay8HML\nmP6J6WzZ+DqdB+MzNedBaVUxYMTrc7uH9lc30Wc952Wx8xJ65rmamhpmzJhBLBZDSslTTyW7rL0Y\nHBzk5Z2HENqQ6DGte3cvXsTAwAD7/vV9JuYli6L+/kHe3LmH6+bWJqx6WtgQZ0IIXtnzIXd9uj/w\n2L3q6uqk+1NSMhTdu6mpifXr17N27drEubKyMvbs2cOUKVMCv1eznlSvSQUl9hQKxXlLfHJGrRDi\nHinlk275nNy4XpY9u2XJEH3b2L17F7U1dSxbZkwANteztcbcM8sKh8JUxlfQCIfDhMM5lJSU0tnV\nQW9fL6dOnWLWrFl8/OMfJxqNsm3btqRVN3JyjFU03oyLtzl1c1i+vNE14G1PTw8DAwPk5OQwGBvk\nzW1bExNHli9bnmTxOVv4CTlrPvCexCGEoLy8nA/fjqCFBXpMcqa/gw+PQPcJkHKASLGxHJrptt1/\n0FgObXAQwrmlIDsTYk6PtcfdwJIJOfdTeUUPUodBabh0wXAFd3aDllNqhGnJAPd8/St8bdvXh04I\nSX7BkPs/LzePvPw8zgwOoEudvLxcCqIFRKrHs7DhRnp7e3njhTfJia+ysvXF7SxdeWdiCIHT99zp\n1Wnfz3UbVOhZXbzpunFfeOV1+gcGKdUswx5CsGXHX7jr0/Xk5OTwz4//355lWK16Jqla9+rr62ls\nbGTDhg3U19fzyCOP0NDQAMCaNWt48knjb+fAgQPU1NRw8ODBtCZamDN1rdiPR4ISewqF4rxFSrke\nWO+TJ/Fq39zyCyGG1sFlaNUFSA5yvHfvXl544flhy6fNnDmLefPms337toRrddmyZYkVNbbv2MYL\nL/yGqdXTuP76G3hty6tcfdXVfP+xH7Dv7X2sX792eMN83LkHWg7Q2nqUUChEeXlFwtXlJGD9SCVv\nEOtmKnm9BN+ECROobXgXMMZibdu2jamXfYbyKEh5ChGfrNHeAZFoCRWVIdo6JLLsGUrKyzn5YQMV\nZSFDuEkjYHJIg/KoRkUpvNdifMxlEaMNx9sksdK1zJk/H03TqKysdGyn24OC9X2b5/Pz82m8Zxnr\n/vFZysdXkpefC0U6Sz+/BICln19CyzuHOPT+hwBUXVHF8nsXc7z1OC37W9j26g5jjV0zhOApjebt\n+7j7K5/1FHZu54MKuXSFXrqhV5bcXs+S2+tTusZOfn4ud1833B0aKR6+Go0XmzdvZuXKlTQ2NtLQ\n0MC6deuAZCtfVVUVQoi0Z9TW1NQMO9fU1MTNN9+cVnl2lNhTKBRjGidLhp91z35NKBxmdk0dN9xw\nA2VlZQnrmjXm3q5dO6mbM5elS5YmxtuYos8+rs86ceOfn1pDb18fPSdO8O6/vEtBfgExXUcTgnA4\nJ2ndW6f3ZC2zuLgYKSXHWluprp7Gd779HcrLyz3F20itfW5t8cvrZ8VzQtM0JkyYgBACXdeJRqOU\na4JJEwR6DEBHM+dRiBwmTcwhHI4xvvoTAPT+JS7i2nV0XRKKC8PS+Aoa5VHQpWBCeVy46RAt/1jS\nMml+QsrvfQPc+qlb2PTcZga7B8kP5XP9p+YnrZV7/acW0LnGcNNed8c8Pn7lx3llfRN7eYeySVbx\nIpNe3Nrh9hvwcuHa89iFn91q5yb0rOfPNrfcOCcj5cycOZPdu3d75iktLQ0Uy6+jo2PYubNxb5TY\nUygUY5ogbil7flPwhTSNWssEjddee5UXX3qB2bV1LFmyNGH9G4q5tzUp5l6gQdZCkJuby7G2Y3R1\nd9F9oofcnByKi4v5r//lv3HJJZcEfaMIBLl5uZSUlHC6v48f/N33mV07m2VxN67bvck0fm5ZM0+6\nsfeklBw7dozD/9rIxKulMcCOeMDlWHycXZeOForR3qEzvtoI4ULt2wC0trZy4uAiKso0olGIRhL2\nWzStDC2+skEoHCNSVpby+w/CA9++j1888SuKiouHjbVbeMuN7Nv+DgLBwoYb2bLxdboO9gBwxazL\nOVh4CNFndN+yMMaSz306cV+sr17nUrHu2QWfXfQ5nXcSf4rRQ4k9hUIxpnGzZLhZMEyhd+011zKn\nbg7jxo1LWjc3psfYvnMbb+1+i5KSEptoCTYxQcqhiRtlZVEGBgY4efIkCBhXWEBh4ThCIY0f/Kfv\nc8N1NyZZ9twEWlXVVN57/z1EfCFXKQ0RFMTKli28BJ21DelY+aSUlJSI+PXxiRi6mQb9Rb/kdFEl\n44oMy8mxY8eSro2WdCZm5Oq6BDF0P7SQFn+VxszfLFA1tYq77/us4/sCuPNztwPGMmtbX9xGTtwt\n/9bGPcy+pYYdGwxL0w13zM/oDFy3834uXDfrXiwWU2LvHECJPYVCMabx6sDczgshKC0tde3oDdE3\nyJ/e+yP5efmEc8IUjSti7tx5LF26bNhMXbPMEz0n0HWZmIQRDofp7e2jr6+PCZUTKCgopLQ0woGW\nA/T0dHPy1EnWb1jL1jff4LoF17F8eeOwWH5m+cXFRQhhzDbOCedQN9uwPjqFYPETeiMRgnZxZi8r\nSKiVoGnJ5Rqzb6UcCtdy6sMGyqIaJ08O5Wvv0DmV/3NOfijp7B6yCJqTMSKlsYTYM62CqRL0/k2p\nnuKav2pqFQA/W/MLRG9oaIxeb4jjR9riM3AFN9RfH1joWdNGsjmJOzc3rrLsnRsosadQKMY0qVor\n7BY+k4TQGPL4gYQTPT1UV1fznUf/A+Xl5Un1DhMnEkLhEBIYHIwxd858Jk6ayMsv/y5pEseOHdvp\n6+tl8kWT0TSNI0cOs2fPHm677XZHsWfWFw6Fjckii53j7GVT5NnLGImLNpVr24YPgTJWxSiFsqjG\nhIrhwZBP9RqBlaMRiyDXJVLCwPhfMb76KoAh929AMmkt9SvrjrtudxR31n03y55T2UHEnZuw8xN6\npnVPMXoosadQKMY0QcWe/Rq76DDODe2HQznU37yIpUuXUVFREagd48ePR+o6rUc/YjA2yEu/fZGb\nbrqZx773/SShKIDi8eMTcQGLi4s51XeK7z32Xerq5iRCqVjfnzkZpLCw0LUzD3KfMkW6os7qcrWn\nV1ZWJsVKnDYlRGd3GZ09Q3naO3XGXfQMl0+bRu8HOnosuQw9ZoiO8jLB5EprmkBoksFIpe/6t27v\nJxPYy1n6ucX853f/W9IYvcV33zns87df7yb0rPmCuGi90lIVforRQ4k9xTBisRgHDhwwxhCdQxQV\nFTF16lRCofSWLVJcmLiJPes5e7o1jIZd8IVCIWpr61gcn7RhHc/n9mppDQChUIjc3BwG83N5ZePL\nvPraZj51+53cddddSIbGiZnBnXWp09XVyenT/Vx91dWO79OcDJKK0Mu0wPOqI6j79tixY3y4dxZl\nkWQXenunDrP2Jgmx7hOGhU4wNPauPb7W7XvvvcdErY3BgfjECwEgiA3qHDx4kEnTJDJxpX+7RnKv\n7OWlUlZ+fj4L7pjL73+5HRhaJcNerp9lL+hDj9OMWzfLnjWP3zVBZqoqsocSe4phtLa2csUVV4x2\nMxw5fPgwkydPHu1mKM4jdF1PsgZ5iT77Zu+Yr732WubMGZq0YV6b7qxTAD0Wo1/X2brtDfbua+aq\nq67m+utvYOu2rYnrT3SfoK+vj09cedWwwMp+jIaVL9VxedZ0KSVlEWf3q7WMyspKjl38CgfebSBS\nYgi9lg9jXDa5mzJuob1nPKEoaEIas3QBTZMIAeFTD4KEM2dkfI3coVArbpayVPC6Jkh59jw3LrqR\nd3b8CwA3LLohKU8QwRdU6AW16vm5de0iT7lxRx8l9hSuTPvkQ+Tkl/hnPAsMnO5m/8s/Ge1mKM5D\nrJ2UdYULN+Fnv84qTCKRiK9b0smqZ660AXHbnpQMDsTo6emhqKiIcE6Y0319nDp5EuRVhHNyQEq6\nu7oTIu+xx5JdvWadqRy7nQuSlgpe1rwg6UHKNoMcF1aHmVARovV4jK6uDirLYUI5hEInjOXRNCMU\ni3GNsfRZZPxJhDa0lJoUUUJaiFA4RqntHqfTtkxfK6Xk9s/eNiyvlzXP3HcSfdZju5XOLursQs4p\nv9c4vWxZ9gYGBvjNQw8RcZjQM/Ezn+ET8+ZlrK6uri4aGxvZvHkzs2bNYt26dVRVVSXlaW5uZtGi\nRY5x9ADHyV5CCDo7Oxk/fjyRSITu7u5EWnV1NatWrUqs1jN16lQef/zxxHGqKLGncKUweim54yL+\nGc8CZ06NbJFpxYVLUGuGm1XPTZikIliam/fw/G+ep6SkFE0I5s27jmg0woZfr6e3tzcRhgUpeOm3\nLxKL6QzGYlxx+RWOIs9af7rHQdNGQhCrp0mqws+pzZHSofVwJ5QLNE2i68YkDqEZ6+YKYbh+2ztJ\nTLTRNCPMSmc3lHiEWhnpfUrlenveqqlThok3e16v16DWPadYeV7C0G9iRrqWvbebmuh49dVh50/m\n5nLH975HTk4O43Sd8vXJC+h8MGUK01atAqC/v9+xXiGE60QnJ2pqarj//vvZsGEDDz/8MPfeey8b\nN25MyrNy5cokseZEc3Mz1dXJ07vNFTeEEEnpzzzzDI2NjbS0tDBlypTEkI50UWJPoVCMaYKKO6e8\ndkudFafQKm6vQggGY4McPvJX8nLzEtcMDsTo6+tj4oSJ5OTkcOzYMfLyCtFCGoUFhcydOy8js2pT\ntfAFSXfDL/SKU5506/O6RtMEE8rlkFUvJJhQZrhxdd0Qe53dxjjHcZe+QmVlJUVToKKiImsWunSv\n9fo8Myn03ASel6XPS+BZrXupWvYmT5/O0a9/nUmdyQ/6g1/+cuL7M/2++zjw299S3tubeH/Fd99N\nXp7xG3vxhz8k/+mnh5V98o47+Mx//++B2tHc3IwQggcffBCAJ554gkOHDiXlefzxx5k6dSp79+71\nLKu0tNR3OTUzfeXKlaxatSoh9kZKdqJFKhQKxTmCW+eVzuZWvvXVi/z8fIQm2LrtDV586UUumnxR\nYh3bUCjM9OmfoHj8eIqKitFCIbZue4NHvvUwT//safr6+lzrcer83Y792ur1XoMQ5Hqv+yqlpL1T\np/V4LGlr79TTbpvU4Xi7pLXNWB5N0wQVZYKKshAVZSEqK40ZuBMnTgwURDnV70i619rPOwk3c9/t\n1U/oOblwnQSd/Zyf6BvpmL2Kiy4itHRp0rkjkQgz7r8/cXzZlVdy5rYh9/aHVVXMW7kycXzz176G\nVlTEJadPJ7aCUIj5DzwQuB27d+9m1qxZ3HfffUybNo0VK1YQiQx5vFpaWli9ejWr4tZEL1J5wNq0\naRMtLS3DLIHposSeQqEY03iNQwoq8Lw6TDtuHS8YbqWBgQEAwuEw4Zww4VCYBfOvZ9WPH+emhQsd\nrV7mnFEnYZSK0PMTJCMReU5lpSKATCorK7n42t0UXLqLgkt3UXjZWxRe9haXzNiTiHlnLdcUhsfb\nY+gS2tqhtQ1a2yWt7YLWNjjWD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2] = plt.subplots(1,2,figsize=(9,4))\n", "\n", "m.kern.plot_ARD(ax=ax1)\n", "m.plot_latent(labels=s['labels'], marker='<>^vsd', legend=False, ax=ax2)\n", "\n", "legend_to_the_right(ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives a really nice result. Broadly speaking two latent dimensions dominate the representation. When we visualize using these two dimensions we can see the entire cell phylogeny laid out nicely in the two dimensions. Additionally we can see the missclassification of the some cells, using the 'standard' approach of repeated k-means clustering and PCA on sub clustered (This was used to get the sample colors of the 64 cellstage)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other Nonlinear Approaches" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do other non-linear approaches compare with the GP-LVM? We can use scikit-learn to try a few. First we consider Isomap, which often performs really well on data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Isomap" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Isomap first builds a neighbourhood graph, and then uses distances along this graph to approximate the geodesic distance between points. These distances are then visualized by performing classical multidimensional scaling (which involves computing the eigendecomposition of the centred distance matrix). As the neighborhood size is increased to match the data, principal component analysis is recovered (or strictly speaking, principal coordinate analysis). The fewer the neighbors, the more 'non-linear' the isomap embeddings are. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wbt06+7bIyEgOHjxIfHx8t8fvKbwe9dqhi/bhqNcNWel8HvZLAG6u/KPbk5XN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\nvM3p+ObmZh77zduUVlsIjBx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smKsVmmqCRdF0QZsIoexj2ATztnu6Xhy7t5BlGb2sx9P6\nanFj3y1P1Z9wrPFaVliOMSQKFZVrb7yazz79HJNhMOXVZVwsyyUyJBpCoK6+zn6+qqrURicgWbQ1\nwQL/cMJqi2m0NtCg1KPT67h/wT329cmu9IHsKLIsM3z4cIYPHw5oFuYv/rEFSWe0r1GqVguSTue2\nZhkVEcnaP95rd6c2NDQwa9kxJKvqFFymWi12q3L+7GlOPTQVRWHR029QEJVgd8NersE9nhp+C1oR\nrtc+SltdQPoysiwzf/Y0Zt04Ej/zEWqKTnWpQo9w07bP0GFDueGeiaiqSpB/EMH+wezdvI+MVzYS\n5BeEMTgSWacn2BBMsCEYA4EU5GtFBd7atIOi5tY1QevgMVRH+ZEyZyrXTLmKqyePtke8elrP8/Xv\nZfXT3yXCck6r+drykv1DCWs+y4fP3su25x9g2/MP8ObKJfbk+E+/OMKfX92EVQ4iOKbVGrVFyzbX\nV/HOtmwAp6T6T788QqluOH5BEUg6/WVdnODVF9bw2t/X+mTs5cuXYzQa0el0TJ8+nbNnz9r3ZWZm\nkpSU5HGfDdt+15dN1NvaV1XV+UIqbdG/7sSCPovjDVQv64mJG0JjTQh1ZedorqtiUOClLcqO9LgU\naE//3+47iimsNQDHr8lAUWkxBmMQ5dVlDIsa7rTv1efX8vPnf+bR9VgXMpjHlj7i9mDmWtDcJiS+\nck/aUkne/suTHvebTCa3OSqKwqa9Jzl9oRrVqrhZnsOi/OyWp+t5nv4vHNNILhccI6i9XSQ/MzOT\nDRs2kJOTQ0REBGlpaSxfvpx169ZhNpuZPn06GRkZpKSk8Mwzz5Camkp2drbTGAcPHqSqqgpVVUlI\nSCAjI4Pk5GSnY3Jychg5cqTTttDQUK/9HJfPt0HgEzyJm3Px9Bou1Axzu4F5GkO05/I9jq5HR3eb\n7WWjt4TEJpYd5a1NO7hYH45fZAiVJ/YQaLU4FRqYdduVbdZ5dfy/uFxxjKAG76cGJSYmkpGRQXx8\nPGazmYSEBLulZ7MmH3jgAQBWrFjBqlWrPI7jKHpGo9FNBMPDw70qjK4IoRR0iUuJm614+sP3p/D2\n5kze3nrR8xiX6HEpcMe1FyVAk18DEdFhyKqMMSSS4uoiTCGaxWkLzvH39++UCPV1IVEUhU17TiLp\nIgGQ/YOc1iclnZ7tX57lie+7n9tZQR6IuEZQQ2tq0K//+guvrFcmJCQAkJGRYW/OfObMGQDmzp3r\nVAg9OzubxMTELl3H11WJhFAKOkVnxc1RMD0i2nN1CVsvys3/2ALA/WmzANj8jy0M8pNJnjJOK0IA\nTsE5HUWSJGJiYtDr9X020MNmTdq+f8GmK5g7TsfMqTcAEBUVdVm5UPsyc+fOxWq1smTJEqcGzbb2\nWhkZGSxatIiMjIwuje8qsImJiZw8ebJ7k3ZAfIsEnacL4ubphnXJHpeCdpmccjvHvzmBJEn2dSXb\n50U/Xsgr+nSnfZ3h1RfW2MdxfN9X8OQalnR6Pj9Wxs9/8h0hkB3Ak2fCMTXIG5w9exaj0WgXxJUr\nV9qtTACz2Uxqaipms5ldu3Yxbty4Ll0nMzPTaY3SaPTu8o0oii7oEoqiOImbNwqi28Z8e+sB1vzh\n+5e9a6wjuFp7jp+7aglmZe62W6r28njA/U/c49VAj+5gK7buCU9BPwMFXxRFd/x9e/t3/Pzzz1NW\nVsZzzz0HwJkzZ0hOTqa8vBzQIlqnT5/Os88+26HxjEajm6DqdDrOnDlDfHx8t+YqiqILvI77GuR5\nr44p6BiuIuj4uStWgWNwR21jLdnbD9vXOn1RA7ariDVG7+HJM+EtUlJSmDp1KvPmzSMhIYHly5cz\nb948QHO3SpLEokWL7OuWgFv0akeoqKggPDzcaZvr5+4gLEqBVxCFz/s/jv0traqVvLKLTmkmAIHD\n/L0W6CHoPL5qs+XLdej09HRWrlxJeXk506ZNIz09ndDQUI9RrpIk2efiibYsSk9kZmYyZcqUDs+z\nx/tRSpK0UlXV5ZIkpamq6laLTQjlwEaIZv9ECGXfR/Sj9B3tCaWvgvHTJEk6CbTdHE8w4FAUhZ2b\nV/PikzddNt1CLBZLu0/A/QlbcIc1UEEn6expJja0QI8FQiQFlx0+E0pVVa9QVXWXj8YX9CFsAvnu\n05ORspczVH+it6fUY/iy9FdvYEs7aVIbtTSTO8fRpDbSpDZyz4K7+sT6pEDQ0/jKN2aUJGkqMEFV\n1ed9dI0+weXsZuxPTad9gS9Lf/UmjsEd3U0zEQgGAj65u9vWJSVJmiZJ0lRVVXe6HvP000/b30+e\nPJnJkyf7Yio+p7i4mJ/+9Enuvfc+5s5N7bZg9jfhVa0qVeZS4rwXYNYv8HXpr95m4Q+/5/TeVqi+\nv3wvBwpZWVlkZWX19jQue7oUzCNJkqfOxeWqqm6QJGkRUNby/inA7BrQM5AWnvPz81m8NA1/f38i\nwlqyJiAAACAASURBVI1MnTK1S4KpKAq7t6zhyK5Xmbtic58PfXe0JmOs33Km2AoqXDFYj7lW5Yan\njnr9Z+grDxGOQS+ODNRAF4vFwuvrt6HX60W/xl5GBPP4Dq/nUXqKZHXgNGAr/x4JXBZ9a3Q6HZVV\nZjI2rmfnzkymTJlKauqDl7yp2wTy4v7XCaj9lsB6lcLCQqdj+moCtSRp3ym9TmJMnIxiVTl8rhlC\nr+AGL16nvz1EDDRe+Ws672QXEGWKumz7NQoub7wezNPiZk2RJGkOUKqq6mFvX6M/YBORtlAUhcxN\nr9gDYIbpjpL7Tg1DX62mOCmJr4cM4eshQ/hgxowemnHnkGWZqfcv4qGnsyB5FResVwMQHy0zd8X7\nmEymbl+jrwYJOUaH2hioEaFZmbvZuu0g9cGJl3W/RsHljU+iXlVV3dDy+pMvxu+LWK1WwkLCmPtA\nKi+99AoPPfRfl3zydhRTWScRkuxPBBDd8ooARi9b1qef4GVZZsr9aXbBzLNe6dZ0urMpFK4PEcN1\nR5F17T949DSO0aEDNSL0Yu5FPnjtI4oNUfbmzet2HRNNtQc43m6c3t3GzaAVOd+wYYP98+rVq0lM\nTESn0zFq1CjS01udnGazGZ1Ox5IlS9zGSU1NbbNAQXuIpkZeICQopFMCCZ4tsoRxfnwd3foruTB+\nPLemeVoO7nvYBHPpn//tZk12JYXiUhZ5X2Byyu2Muf1Krp48esBFhNpaMJ0uqcY6eIx9e1FzFG9u\n+LgXZybwFb7Ig3Zs3GwrM7d8+XIAe+PmX/7yl5jNZiZMmEBqaqrHcSRJst8TVq1axapVq0hPT8ds\nNvPKK6+wfPlyJyEFWL9+vcf5dOXeIoSym5hMJt544/86LJCuOFpk+knPc/GaoSiAAkSlpfVJa7K9\nJ05Xa9KWQnE06zhZmbs7NL6nhwjF2jcDFRb+8Ht8/wcLensaPsFqtXBe1dFcX0VTbQVNtRU011fx\n7vaDwqocQPhyicOxcbOqqiQkJBAZqfUPdWzcbCtpl5OT0+54ZrOZFStW2MvThYaGMnXqVFauXMm6\ndeucjk1OTubQoUP2z5mZmUybNq1LvStFrVcv4o2OBg0NDXxw441IksTs/fv7pFDm5+d3KCXmYu5F\ntxY+P37uiU67KBVFYc+WtRz5NJ05y0UwT09x7uw5nnvyeXT1Lb+/AIWFv1hA3JC4PhtgNtDxZtSr\nax60bXmjtNrq9ah118bNtrZblZWV9veZmZksXbrUYx/JUaNGsWrVKrugZmdnux1jw2w2YzQaWb16\nNdnZ2bz88ssALFmyhGnTppGamorVanU7rzdK2F22vD99Ol8PGcKhIUP4tOX1xpQp5Ofnc+HCBXJy\ncrhw4QL5+flOL9sTusFgICotrc9akzaqa6vJ2LiepcuW8O6777hZGO11T+9sybf23LoC3xGfEM9D\njz+In8EPP4MfDz3+IMkTk4mLi+vT301Bx+mpJQ5b4+bU1FQn96pj4+YHH3yQV155pc0xVFW197fs\nCKmpqU5W5rp165gzZ06X5i++7V7AUSSuXLqU4CeeAOAEMAaIPH6coyNGAJDj7891jY04xkaeGzuW\nhQ4ugtsWLeqBWXefrqbEdBVxc+55fNmCSdC72JY4lHu+x54ta7mQ/TpxHPHqNbzZuFmSJEaOHGnv\nZelIZWUl7733Hosc7p1hYWF292tZWRkTJ07s8s8hLEovUFxczKOP/jerV69m9d7dHI6PRwaM4BbF\nGjl7NlG0H9nqus7XX3B8OnVMobCqVu01QFMoBjoDeR1W4Dly3VtkZGQ4NWUuKytz2j916lSSk5M5\ncOBAuyJpIykpiZycHLfo2Pfee8+tZRdoVuW7775LRkYGixcv7uJPIYTSa1TXVvPRtg+pq69ld0QY\nCjAKODK0dT3uwvjxzE9P5/DYsZQAJcDhsWNJnDnTyf3qLbwd5u3KpVJibCkUF0rPcqH03IBMobgc\n0Ov14uHmMsAXSxwpKSmsXr2aQ4cOYTab223cbHu1R3h4OCtXrmTatGns3LkTs9lMRkYGK1asYMWK\nFW7Hp6amsnr1ajIzM0lJ6XpD+P5ntvRhbPk5TaNGsvvsOVTgP8OGcM3Fi4AWxWowGKh2eKoa8e23\nHB0xws396omOlnDriUo2IUEhHa5vawob7PXrCwQC3+BNb9b48eNZuXIlqamp9sbNK1euBCA7O5uc\nnBwSExPtx1+qcTPAU089BcDixYs5c+YMiYmJrFq1ioULFzqNA5qwJiYmEhkZSWhoqNO+ziCiXjuJ\np8jWwsJClv/8Kfz8/NDpdAQEBCCfPA2qimH8OK7ftZuI8HAeOHAAWZbZ+c9/EvzEE/anFAWoe/FF\ne86k6xe1o8JnO64g+w3iONLrNVe9FfUqEAg0RK1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_neighbors = 40\n", "import sklearn.manifold\n", "m = sklearn.manifold.Isomap(n_neighbors=n_neighbors, n_components=2)\n", "X = m.fit_transform(Ydf)\n", "fig, ax = plt.subplots(1)\n", "plot_latent(ax, X[:, 0], X[:, 1], marker, labels)\n", "_ = legend_to_the_right(ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Locally Linear Embedding" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we try locally linear embedding. In locally linear embedding a neighborhood is also computed. Each point is then reconstructed by it's neighbors using a linear weighting. This implies a locally linear patch is being fitted to the data in that region. These patches are assimilated into a large $n\\times n$ matrix and a lower dimensional data set which reflects the same relationships is then sought. Quite a large number of neighbours needs to be selected for the data to not collapse in on itself. When a large number of neighbours is selected the embedding is more linear and begins to look like PCA. However, the algorithm does *not* converge to PCA in the limit as the number of neighbors approaches $n$. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fhtFopKSkREbtjhRcrcqeInUNBrj44osJP+t5GUxs+jukBF/v0Xo1Go2cbXDf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\nOHSyjrKWTjdIdPJUzlYeprn6JIbg7nl1X3jr/7d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_neighbors = 30\n", "m = sklearn.manifold.LocallyLinearEmbedding(n_neighbors=n_neighbors, n_components=2)\n", "X = m.fit_transform(Y)\n", "fig, ax = plt.subplots(1)\n", "plot_latent(ax, X[:, 0], X[:, 1], marker, labels)\n", "_ = legend_to_the_right(ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### t-SNE (t-distributed Stochastic Neighbour Embedding)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "t-SNE does a great job in unravelling the structure of the data itself. It also shows the misslabelling of the later data quite clearly. It is not able to put the right order in the TE side, though." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VDHD1J8awhwMnrJwstRF+8EW6ywcw757DdR3PsHvvfvYcV7iii5mru8oe/Y6u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\niehisY7TSiBi0WPqEkuSiZnMT1Hshvy9yFS1wtq8qzViwsft3/giOI5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = sklearn.manifold.TSNE(n_components=2)\n", "X = m.fit_transform(Y)\n", "fig, ax = plt.subplots(1)\n", "plot_latent(ax, X[:, 0], X[:, 1], marker, labels)\n", "_ = legend_to_the_right(ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### work funded by the BioPreDyn and MLPM projects, it is a collaboration with Nicolas Durrande, Johannes Jaeger." ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }