From a37ea75008d7e16ebacaee5eececd7af384293b8 Mon Sep 17 00:00:00 2001 From: AustinRochford Date: Tue, 27 Sep 2016 10:15:54 -0400 Subject: [PATCH 1/3] Add LKJ covariance prior example --- docs/source/examples.rst | 1 + docs/source/notebooks/LKJ.ipynb | 736 ++++++++++++++++++++++++++++++++ 2 files changed, 737 insertions(+) create mode 100644 docs/source/notebooks/LKJ.ipynb diff --git a/docs/source/examples.rst b/docs/source/examples.rst index 06859f216c..508b4365c9 100644 --- a/docs/source/examples.rst +++ b/docs/source/examples.rst @@ -6,6 +6,7 @@ Examples .. toctree:: notebooks/BEST.ipynb + notebooks/LKJ.ipynb notebooks/stochastic_volatility.ipynb notebooks/GLM-linear.ipynb notebooks/GLM-robust.ipynb diff --git a/docs/source/notebooks/LKJ.ipynb b/docs/source/notebooks/LKJ.ipynb new file mode 100644 index 0000000000..00594acbb7 --- /dev/null +++ b/docs/source/notebooks/LKJ.ipynb @@ -0,0 +1,736 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "title: Fitting a Multivariate Normal Model in PyMC3 with an LKJ Prior\n", + "tags: Bayesian Statistics, PyMC3\n", + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Outside of the [beta](https://en.wikipedia.org/wiki/Beta_distribution)-[binomial](https://en.wikipedia.org/wiki/Binomial_distribution) model, the multivariate normal model is likely the most studied Bayesian model in history. Unfortunately, as this [issue](https://github.com/pymc-devs/pymc3/issues/538) shows, `pymc3` cannot (yet) sample from the standard conjugate [normal-Wishart](https://en.wikipedia.org/wiki/Normal-Wishart_distribution) model. Fortunately, `pymc3` *does* support sampling from the [LKJ distribution](http://www.sciencedirect.com/science/article/pii/S0047259X09000876). This post will show how to fit a simple multivariate normal model using `pymc3` with an normal-LKJ prior.\n", + "\n", + "The normal-Wishart prior is conjugate for the multivariate normal model, so we can find the posterior distribution in closed form. Even with this closed form solution, sampling from a multivariate normal model in `pymc3` is important as a building block for more complex models that will be discussed in future posts.\n", + "\n", + "First, we generate some two-dimensional sample data." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Couldn't import dot_parser, loading of dot files will not be possible.\n" + ] + } + ], + "source": [ + "from matplotlib.patches import Ellipse\n", + "from matplotlib import pyplot as plt\n", + "import numpy as np\n", + "import pymc3 as pm\n", + "import scipy as sp\n", + "import seaborn as sns\n", + "from theano import tensor as T" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "np.random.seed(3264602) # from random.org" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "N = 100\n", + "\n", + "mu_actual = sp.stats.uniform.rvs(-5, 10, size=2)\n", + "\n", + "cov_actual_sqrt = sp.stats.uniform.rvs(0, 2, size=(2, 2))\n", + "cov_actual = np.dot(cov_actual_sqrt.T, cov_actual_sqrt)\n", + "\n", + "x = sp.stats.multivariate_normal.rvs(mu_actual, cov_actual, size=N)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "var, U = np.linalg.eig(cov_actual)\n", + "angle = 180. / np.pi * np.arccos(np.abs(U[0, 0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFzCAYAAAAE+sEBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl81PWdP/DXZGYyk0zmyEUAIYQjEALKDcpNILqugNrL\nXlsbtdht3a60P7fVbdfWtuKxu9rW1UrX2127aK1VWqoVBOQmhBA5EnKQcIUchLkz13e+vz9iIoEc\nc3+/35nX8/HoowiTmfd3vkle87lVoiiKICIiItlIk7oAIiIi6o/hTEREJDMMZyIiIplhOBMREckM\nw5mIiEhmGM5EREQyE1U4b9myBbfccgumTp2KY8eOxaomIiKilBZVOE+ePBnPPPMM5s6dG6t6iIiI\nUp4mmi+eOHFirOogIiKiT3HMmYiISGaGbTlXVFSgs7Pzqr9fv349ysrK4lIUERFRKhs2nF966aWY\nvZgoilCpVDF7PiIiomQU1Zjz5UI5P0OlUqGjwxGrl5RMfr5R8deRDNcA8DrkJBmuAUiO60iGawCS\n6zrCFdWY89/+9jcsW7YMR44cwb333ot77rknmqcjIiIiRNlyLi8vR3l5eaxqISIiInC2NhERkeww\nnImIiGSG4UxERCQzDGciIiKZYTgTERHJjKzCWRAEdHVdjOn/BEEY9nU3bXoD3/jGHfiHf/gSNm16\no+/vX3jhedx++9+jouKrqKj4Kvbt2wMAOHToEO688yu4555v4OzZMwAAh8OB73//viFe43/h9Xqi\nfIfir7X1PL7xjTsAALW1x/H00/8OoOe9eOON14d8fKK88MLzqKw8kNDXJCJKpJhtQhILNpsVO3d+\nhKysrJg8n9PpxNKlK5CTkzvoY5qaGrB58zv43e9ehUajwQ9+8E9YtGgJrrlmDFQqFe6446v48pe/\n3u9rXn75ZfzHf/wa58+fwzvv/AH33Xc/XnnlBXzjG3cN+jpvvvl73HTT30On01/1b8FgEGlp8f2c\nJAgC1Gp1WF9TUlKKkpJSAIjLzm69G9eE+9x3331vzGshShaBQABtbW2oqzsFj6cbPp8fohi8aqOo\n3v9Wq9VQqzXQarXQ6XQYMaIAFkt23H8n0dBkFc4AkJWVBZPJlLDXa2lpRmnpdOh0OgDAzJmzsWPH\nNnz1q98AAAy08ZlGo0F3dzc8Hg+0Wi3OnTuLjo42zJw5e8DXePPN36OzswPf+963YbFk41e/eg7l\n5Utw662fR2XlAXz/+/+CRx75CV588XWYTGbU1h7Hf/3Xr/Cb3zyP7u5uPPXUEzh1qgmCEMBdd63D\n4sXLrnqN119/GX/721+hUqXhhhsW4d57v4v77luHyZOnoKbmCMrLb8KMGbPxzDNPobu7G/n5uXjg\ngR8jNzcPtbUnsGHDI1CpVJg/f0Hfc1ZVVeL3v/8fPPHEUwCAhoaT+Pa374LVasXXvvYNrFlzW78a\nBEHAb3/7DKqrD8Hn8+Nzn/sibr31c/0e09p6Ht///n2YNu1a1NWdwJNP/hrbtn2Ajz76ED6fH0uX\nLu8L35df/m988MEWWCzZGDGiAFOmTMVXvvJ1/PKXP8WiRUuwfPlK7N27F48+ugGCIKCkpBT/7/89\nCK1Wiy98YQ1uvnk1du/+GIIQwM9//hgKC4tC+6Ygkjmv14v29jZcutQFn88Hv98Hn88Lr9cHQQjA\nYskCoIFarYZK1fsBePAPwcFgAF5vAG63E2fPtsDnCyAjQw+9PhMFBSNRVDSeYZ1gsgvnRJswYRI2\nbnwWdrsN6ek67N27G1OnTuv79z/84f/w17/+GSUlU3HffethNBpx77334qGHfgy9Xo8f//hneOaZ\np7Fu3XcHfY0vfvHL2LTpf/Gb3zwPk8kMAPB4PJg2bTruu+9+AIO3Hl999UXMnTsfDz30MBwOB9at\nuxNz5y6AXv9ZC3zv3t3YvXsnNm58BTqdDg6Ho+85A4EA/vu/X0UgEMB9963D44//J8xmCw4e/Bgb\nNz6LBx/8N2zY8DN8//s/wowZM/Hss78asA5RFNHY2ICNG19Gd7cbFRVfw8KFi/s9ZvPmPyErKwu/\n+92r8Pl8+M537sH8+ddj1KjR/R537txZ/OQnj6C0dDoOHNiHs2fP4He/exXBYBA/+tEPcOTIYaSn\np2PHjm145ZXfw+/34667vo6Skql916VSqeD1evHggw/iqaeexZgxY/GLXzyMP/7xLXzpS1+BSqWC\nxZKNF198HX/841t4443X8cMf/njQe0QkZ263G83Np2C32+ByOeH3+5CRkQG9Xg+VSgW1Og0ZGRnI\nyMgAABgMOrhc3rBfR61W9/2O6nXu3GmcPHkCRqMJ11wzFuPGFfGMhARI+XAeN64IX/vanVi//j5k\nZGSguHgK0tJ6vvFuv/0LqKj4FgDgd797Ds888xQefPDfUFJSguef7zkQpLq6Cnl5+QgGg/i3f3sQ\nWq0G9923HtnZOUO+blpaGpYvXzlsfQcO7MPu3TvxxhuvAQD8fj/a2y/0awUeOnQQt9yytq/1bzR+\nto/rypU3AgBOn27GqVONuP/+7wAAVCrAYsmF0+mE0+nEjBkzAQA33XRL39j65VQqFZYsWYb09HSk\np6dj9uy5OH78KCZNmtz3mIMH96GxsQHbt28FALhcLpw9e+aqcC4oGIXS0ul913fw4H5UVHwVANDd\n7cGZM6fhdruxZMlyaLVaaLVaLFq0pN9ziKKI06dbMGbMGIwZMxYAcPPNq/H225vwpS99BQCwbFnP\nqWmTJ5dgx45tw77XRHJhs1lx+nQLnE4HXC4XBMEPk8kMtVoNozE2w36h0ul0fb9bWlqa0NhYj7Fj\nC1FcPIUhHUcpH84AsHr1rVi9+lYAwPPP/xcKCgoAoF/ArllzG374w/X9vk4URbz66ov46U8fxdNP\nP4nvfvef0dp6Hm+++XusW/edIV8zPV3X7xtbrVYjGOzpQ/d6ff0e+8tfPomxYwuHfL7Bzh3R6zP6\n/n38+In47W9fBPDZhvK9rezLrylUKtXV3Vzf//6/YN6864f8uoyM/uPuX//6N6/q/t606Y0rarm6\nrit/MVx56ll6uhYAoFanhTQxkEgqDocdTU2Nn4axEwBgMpmgVqfBZAr/0IR46W2Zt7W1oqWlGbNn\nz0Nu7uBzeihyHEQAcOlSFwDgwoUL2LnzI5SX/x0A9DvHeufOjzBhwqR+X/fXv/4ZN9ywGCaTCR6P\n57Lu1qtnZWdmZsLlcg1aw8iRo1BbexwAsGPH1r6/nz//erz11u/7/vvkydqrvnbevAX4y1/e7Xtd\nu93e92+9AVdYOA5W6yUcPfoJgJ4W+KlTTTAajcjKMqKmphoA8MEHWwasTxRF7Nq1Az6fDzabFYcP\nH8LUqaX9HjN//g14++23EAgEAACnT7fA4xl6hvqCBdfjz39+F93d3QCAjo52XLp0CdddNwO7d38M\nn88Ht9uNPXt29fs6lUqFwsJxOHfuHM6dOwsAeP/9vww67k8Ub4FAAJWVB1BZeaDvZ2Aoly514dCh\ng9i27QPs3bsLHo8bWq0GFosFFotF1mO8Op0OZrMJVVUHcOTI4bA+1FNoZNdydjqdCX+uH//4h7DZ\nbJ/O1v4RDIaebqPnnvs1GhpOAlBh9OjReOCBh/q+xuPxYMuWzXjqqf8CANxxx9fwwAP/DK02HQ8/\n/IurXmPt2tvxgx/8E/LzR+BXv3ruqlZfRcU6PPbYI/jv/87CrFlz+v79m9+8B7/+9X/gzju/jGAw\niNGjr8Hjjz/V72sXLLgB9fV1uPvub0Cr1eCGGxb3tdx7n0er1eLnP38cv/rVv8PpdEKlEvH5z9+B\n8eMn4KGHHv50Qhgwb971/Wrr/aNKpcLEicX43ve+DavVioqKe5Cbm4fW1vN9j1+z5ja0tp7H3Xd/\nHaIoIjs7B48++uRV78Xlzz9v3vVobm7Gt79dAaDnQ8xPfvJzlJSUYvHipbjzzi8jJycXEydOumoW\nf3p6Oh599FH85Cc/hCAImDp1Gm677Qu9r3L5K7L7jeIqEAjgxRc3oqur54N+VVUl7rprHTSa/r9i\nOzs70dzcBJvNimBQgMlkitnqFCmYzWbY7Vbs2bMLCxcu5s9ZDKnEBH/kGepsTkEQYLNZY/p6ZrMl\n7CVEw0mGM0aVcA3d3d3IyMiAx+PBffetww9/+K8oLp7S7zFKuI5QJMN1JMM1AJFdR2XlAXz44Qd9\nrd1gMIhVq27EnDnz0N7ehtOnm2Gz2aFSBZGVZYx7iEU6ISxSfr8fgiBg8eLlMW3xJ9P3VLhk1XJW\nq9VDrkmm1PLEE79Ec3MTfD4fbr559VXBTCRXDocdx459gkuXLkKtVn+6RFS5LeThaLU98zsqKw9g\n/vyh55xQaGQVzkSXG2h4gEiOZs6cjf3796K+/iS6u90wmUyYPHlyzHvt5Eyr1cLptKO5uQlFRROk\nLkfxGM5ERBHqXdJ35kwLxo8fD4PBgLQ0oLh4SkoFc6+srCzU1Z3AqFHX9C2/osgwnImIwuRyuVBb\newyXLnUhPV0LvT4DeXl5yMvLk7o0yZnNZtTUVGPevAXDP5gGxXAmIgqBKIpobj6Fs2dPw+12wWw2\nJ3SrYaVIS0tDV1dn34ROigzDmYhoCE6nE7W1x3Hp0kWkp6cjIyMDOl261GXJmtlsxvHjn2DOnPlS\nl6JYDGciogGcOXMap041wuNxw2y2wGw2D/9FBKCn9RzrZbGphuFMRPQpURRx4sQJ1NScgEqlgsGQ\nCb2eE5siEQgEYLfbrjpIg0LDcCailBcIBHD8+FG0tbUiJ8eErCyD1CUpntlsRlNTI7fUjRDDmYhS\nVnd3N44dq0FnZwdMJhPMZjP0+sTurpWsVCoVPJ5uqctQLIYzEaUcm82K48ePwm63wWw2Iydn6CNe\nKTJeLz/kRIrhTEQpo62tFSdP1qG72w2z2Yzs7OyQv1YQBNTX1wFI3U1GwtXd7Za6BMViOBNRUhNF\nES0tp3DqVBOCQQFGozHspVCCIGDz5vdgt9sAAHV1J7F69RoG9DCCQQHBYFDWx1/KFcOZiJKSKIpo\naKjH6dOnoNVqYDBkRvxc9fV1sNttfSFjt9tQX1+HkpLSYb4ytalUavj9fm7lGQGGMxElnVOnmtDU\nVA+tVgujMfzj+ig21GoV/H4fwzkCDGciShqnT7egvr4OGo162FAOZwy5uHgK6upO9nVrm0xmHmEa\nApUqDX6/X+oyFInhTESKd+7cWZw8WQtAhNE4/LnJ4Y4hq9VqrF69hhPCwhQMCtDp9FKXoUgMZyJS\nrAsXWlFXdxyCEAxr45BIxpDVajXHmMMkCEHo9T3hHAgEUF1dBaDn/GuNhvEzFL47RKQ4HR0dOHHi\nKPx+H8eUZSwtLQ1paWkIBAJ48cWN6OrqAgBUVVXirrvWMaCHENU78/jjj2P79u3QarUoLCzEhg0b\n+INCRHFz6VIXjh6tgdfrgclkinjfa44hJ4ZGowUAVFdXoaurq6+noqurC9XVVZg7l6dWDSaqxWeL\nFy/Gn//8Z7z77rsoKirC888/H6u6iIj62GxW7Nq1A5WV+6HTpUd9jnLvGPK8efMwb948rlmOE42G\n72mkomo5L1q0qO/PM2bMwPvvvx91QUREvdxuN44cqYLDYYfZbEZ6euxOOOIYcvyp1T0RM3PmbFRV\nVfZ1a+fk5PBAjGHErMP/D3/4A2655ZZYPR0RpTBBEFBdXYXOznZYLBZYLBapS6IIZGRkAAA0Gg3u\numsdJ4SFYdh3p6KiAp2dnVf9/fr161FWVgYAeO6556DVarFmzZrYV0hEKUMURZw8WYvm5iYYjcaw\n9r4mefH5fBg1akzff2s0Go4xh0EliqIYzRO8/fbb2LRpE1555RXuAkNEEWtpacEnn3wCjUbTt/yG\nlKuzsxNr165Fenp4+5hTj6j6FXbu3IkXXngBr732WsjB3NHhiOYlZSE/36j460iGawB4HXIS6TVY\nrZdQU1ONQCCArCwDBAGSnqdsMCj/PGc5XIMgqGCzeQFEXkcy/FwAPdcRrqjC+Re/+AX8fj/uuusu\nAMDMmTPx05/+NJqnJKIU4fP5UFVVCYej50xlgD1vySQzc/id2mhwUYXzBx98EKs6iChFiKKI48eP\n4uzZ0zCbzZ8GMyUTQRBgNnO+QDQ4XY6IEubMmRbU1Z2AXq/nZK8kZrfbce21M6UuQ9EYzkQUdzab\nFUeOHIYgBKLeQITkT61WIyuLu0VGg+FMRHHj9/tRXV2FS5cufrpWmePKqSAzM/RDSGhgDGciiovG\nxgY0Np6E0WjkJiIpxO/3ITe3QOoyFI/hTEQxZbNZcfjwIQBgKKcgh8OJ669fInUZisdwJqKYCAaD\nOHz4EDo62hjKKcxstvAQkRhgOBNR1M6ePYO9exsQDKYxmFOYy+XC5MklUpeRFBjORBQxt9uNQ4cO\nwu/3oqAgV/JdqUhaghDE6NFjhn8gDYvhTERh691I5Ny50zCbLdDptFKXRBITRREWSzZUKpXUpSQF\nhjMRhaW9vQ2ffHIE6elaWCzcSIR6WK02LFy4WOoykgbDmYhC4vf7cejQATiddphM3HKT+tPr9TAa\nucFMrDCciWhYDQ0n0dhYD5PJxGCmqwQCAeTl5UtdRlJhOBPRoGw2K6qqKpGWpuJe2DQoh8OB+fMX\nSl1GUmE4E9FVRFFETU012tpauTRqGIIgoL6+DgBQXDwlJdf4Go1maDSMk1jiu0lE/Vy8eBGHD1ci\nI0PPYB6GIAjYvPk92O02AEBd3UmsXr0mpQLabrdh1qz5UpeRdBjORASgp7VcXV2Fzs52RZyxLIcW\na319Hex2G9LS0gD0BFV9fR1KSkoTXotU0tP1yM3NlbqMpMNwJiJ0dnbi8OFKGAwZignmVG+xyoHD\n4URp6XSpy0hKaVIXQETSCQaDOHToIA4froTZbIJGI7/NRARBQG3tcdTWHocgCAD6t1jT0tL6WqyJ\nVlw8BSaTGcFgEMFgECaTGcXFUxJeh1TS0tIwatRoqctISmw5E6Wojo52HDlShYwMPcxmea5PHayF\nLBdqtRqrV6+RvHtdCh5PN8aPnyh1GUmL4UyUYnpOj6qE1doFk0meodxrsDHd4uIpqKs72RfaUrZY\n1Wp13MeY5TC+fiW/X8C4cUVSl5G0GM5EKaSt7QJqag4jMzNT0bs5pVKLVY7j672tZu6jHT8MZ6IU\nIAgCDh+uhM12SRETvnoN1UJORItVDuQ4I9zvFzB+/ATJXj8VMJyJktyFC+fxySdHYDAYFNdaTqUW\nslJ0d3dj4sRJbDXHGcOZKEkJgoBDhw7CbrcpqrV8pVRpIQ9GTuPrABAICBg3brxkr58qGM5ESait\nrRVHjhyG0WiEyWSUuhyKgpx6D9xuN1vNCcJwJkoivbt8XbzYwa03k4hceg9EESgq4lhzIjCciZKE\nzWbFwYP7kZGhl/0SKanJcWmS3NlsdsyaNVfqMlIGw5koCdTVnUBLSzMsFuWOLSdKIpcmJcuHgGAw\niKysLOTl5UldSspgOBMpmMfjwf79ewCIDOYQJWppkhzXJ0fKarVixYpyqctIKdxbm0ihTp9uwY4d\nW6HX65CRkSF1OXQFuez/HS2fz4cxYwqh0+mkLiWlMJyJFEYQBOzbtweNjXXIzs7mzNkwpfphFeHy\neLyYNu1aqctIOezWJlKQzs5OVFUdQFZWFgyGLKnLUaRELU2S2/rkSDidLpSUlPIDoAQYzkQKIIoi\nPvnkCNraWrlEKgYSsTRJTuuTIyGKIjQaDcaMGSt1KSkp4nB++umnsW3bNqhUKlgsFjz22GMYNWpU\nLGsjIgAulwv79++GVqtV9E5fqUgu65MjYbPZcP31i6QuI2VFPOZ8zz334N1338Wf/vQnrFq1Cs88\n80ws6yIiAI2N9di1azsMBgMn5MSBIAiorT2O2trjEARB6nJkQxAE5OTkwmTih0GpRNxyzsr6bLzL\n7XYjOzs7JgUREeD3+7F//x4EAj7+bMXJYEudCLDb7Vi58iapy0hpUY05P/XUU/jTn/4EvV6PTZs2\nxaomopTW1taK6uoqmEwmpKcbpC4naQ223nnOnFkSVyYtj8eDCRMmQaPhlCQpDfnuV1RUoLOz86q/\nX79+PcrKyrB+/XqsX78eGzduxIYNG7Bhw4a4FUqU7ERRxNGjNWhra2VrmSQhiiICAQGTJk2WupSU\npxJFUYz2Sc6fP49169Zh8+bNsaiJKOV4vV589NFHEEWRG4okiCAIeOedd2Cz9XRrm81m3HbbbYqa\nUR2qnrH1WgBASUnJoNdotVpRVlbGvdllIOJ+i+bmZhQVFQEAtm7diqlTp4b0dR0djkhfUjby842K\nv45kuAYgOa6jra0V9fXHoNHokZaWBpfLK3VJETEYdIqrvbz85n5LnTyeAAwGteKu40qX34srx9aP\nHDk64DaiXq8XeXkj4fWqZPMzlQw/30DPdYQr4nD+z//8T5w6dQppaWkoLCzET3/600ifiigl9a5d\nbm+/gFGj8hUfCEqk5KVOoQplL3FRFOH3B5L+vVCSiMP517/+dSzrIEopXq8Xe/bsgkaTJtsuxGQ5\nUYmGZ7XasHDhYu4EJiOcjkeUYBcunEd19WFYLOa+1ozcJNOJSqluuG1EPR4PCgvHwWiU54fEVMVw\nJkqQy7uxc3LkPRs7UccqUvwNtY1oz+xsdmfLEcOZKAE8Hg/27t0FtVq+3diUvAYbW2d3tnzJs0+N\nKIm0tp7Hjh1bkZmZAb1eL3U5IYnnsYrcMlMePB4PxowZy+5smWLLmShOeruxOzouKG5TkXidqMSx\nbHkQRRGCIKC0dLrUpdAgGM5EcdDbja3RqBXbMonHMiOOZcuD1WrDDTcsYne2jDGciWKstfU8amoO\nw2Kx8JcfyY7X68WYMWN54pTMccyZKIY++eQIjh+vQXZ2dsoH80BjyxMmTILH40ZHRzsEQYjpWDYN\nr2ezET+7sxWALWeiGBAEAbt3fwxAUGw3diwNNLZ8881/jy1b/oL0dD2cThc8Hg++/OW/53hzAlmt\nVixatCzlPzgqAVvORFGy223YuvV9aLVq6PU8tALoP7aclpYGu92Gbds+hN1ug0ajwYgRBcjIyEBT\nU4PUpSpGtLPcnU4npkyZiqysrDhUR7HGljNRFM6cacGJE8dgsVikLoWSyJVbpwKIapa73++HwWBE\nUdGE+BRMMceWM1EERFHEkSOHcfJkHYN5AAOtky4rWxW3tdPJpHdI4ODBgzh48CA2b34PtbXHr+qJ\n6A3vULjdbsybtyCOVVOsseVMFKZAIIA9ez6GSgUYjdJ1Ecr5YIrB1knHY+10shloudmZM2cifj6r\n1YYFC26Q7T7uNDCGM1EYrNZLOHBgL4xGo6TBEovNPOId7gOtk06FIxrjYezYcfB6fYMeXjEYt9uF\nCRMmwmxm747SMJyJQtTcfAonT9ZK3o0tCAL+9rf30dTUgLy8/H7dnKEGH3fqkq+BTpEqKSlBSUlJ\nWB+mBEGATpeBSZMmx71mij2GM9EwRFHE4cOHYLN1wWKRduOG3lA9daoRra2tuHSpK6JxW+7UJV9D\ndf+Hc38cDgdWrrwpLjVS/DGciYbg9/uxa9cOaDRqGAzSL0HpDdW8vHx0dXXB4/Ggs7MDEyZM4uSq\nJBJt97/VasXcudezJ0TBGM5Eg7h48SIqK/fDbDaFPJkmUZO0VCoVJk+egs7ODpSUTEV5+U1hvdZA\nXaeJCnc5T2RLBm53N0pLi5GTkyN1KRQFhjPRAJqaGtDYeBLZ2aGPLydiHPfKUB0/fmLYwQzE79Sp\n4XCsO74EQYBarcG0adPQ0eGQuhyKAsOZ6DKiKOLQoQOw221hz3BNxDhuLENVipnTHOuOL4fDgbKy\nG6Uug2KA4Uz0KZ/Ph127dkCnS5f1FodcjkQDsdlsmDVrLjQa/lpPBlyVToSe9csfffQhMjMzoNVq\nI3qOgXbF4iSt/qJ9j6LdXzpZud3dGDOmEPn5I6QuhWKEH7Eo5Z07dwbHjvUc8xgNKcZxlTa5arj3\naKjr4Xj1wAKBAHQ6HaZOnSZ1KRRDDGdKabW1x3Hu3GlYLNEFc69EdjkrNawGe4+Gux6OV19NFEW4\n3d0oKyuXuhSKMXZrU0oSRREHDuzDhQvnFXv+8kDHMoZzGILcJNv1JILVasXChUu4b3YS4h2llOP3\n+7F9+1b4/V5kZmZKXQ6FiGP6/dlsdsycOZffw0mK3dqUUhwOO/bs2RXWxiJyNdBGIhMmTEJt7fG+\nf5dbF/dQY8rDbYzCU60+43K5MG5cEQoKCqQuheKE4Uwpo7X1PGpqDkc98UsurgyrCRMmYcuWv8h2\nDHq4MeVQwpfLyIBAwA+DwYjJk0ukLoXiiOFMKaG+vg4tLaeSJph7XR5WtbXHZT1hKpQJXQzfoYmi\nCI/HixUrlkpdCsUZw5mSmiiKqKqqhN1uhcmkzIlfRL1sNhuWLi2DSqWSuhSKM2UPuhENQRAE7Nz5\nEdxuJwwGg9TlxJ3cJ0zJvT65s9lsmDNnAfR6vdSlUAKw5UxJyeVyYffuHTAajbIZc403uU+Yknt9\ncuZ0OjFx4mTk5uZKXQolCMOZkk57ezsOHz4Ii8WSct1/ch+zHWoDEob2wLxeL8zmbEyYMFHqUiiB\nou7WfvHFF1FSUgKr1RqLeoii0tTUiCNHDiE7OzvlgjlUctufuncW98GDB3Hw4EFs3vyeLOqSg2Aw\nCEEIYvbsuVKXQgkWVcu5tbUVu3fvxujRo2NVD1HEamqqcfFiO8xms9SlyJYct/zktpyDs9nsKCsr\n5wfNFBRVy3nDhg144IEHYlULUUREUcTevbthtV6EwSDfox7lINotMuXW6k5mNpsN11+/MOJT0kjZ\nIm45f/jhhxg5ciRKSrgQnqTTOyNbo1FDr8+QupykFq9W93A7g6Uim82Oa6+dAbPZInUpJJEhw7mi\nogKdnZ1X/f3999+PjRs34sUXX+z7O1EUY18d0RA8Hg/+/OePkJ6u5QSiEEUThPHqfuYs7v6cTgcm\nTizGyJEcLkxlKjGCVD158iS++c1v9q23a2trQ0FBAd58801O9aeEsNls+Oijj2A2mzkeF6aerula\nAEBJSUnzR8w/AAAgAElEQVTIQXjs2DHs37+/L5yDwSAWLFiAadN4jnCsuFwujB49GrNmzZK6FJJY\nROF8pbKyMrz99tuwWIbvgunocET7cpLLzzcq/jqUfA0dHe2oqjqI7OxsGAw6uFxeSeqI5fIfKa8j\nVFd2a5tM5n7d2kq4BmD4+ybVdfh8PqSn6zF//vVRP5eSf74vl0zXEa6YrHNmy4US5cyZ06itPSb5\nHtlynPUcb8nQ/SzX+yYIAgQhiHnzFkhaB8lHTLbv3Lp1a0itZqJonDxZi5Mnj8tiqVS0s56VqncT\nkZKSUskDLRJyvG+iKMLpdGHx4mVs6FAf7hBGilBTU43OznYYjTy8gpKL1WrF0qVlivywQ/HDgy9I\n1i5fw5yVJZ81zDzEQZnkdt+sVisWLFiIjAwuA6T+2HIm2RIEAbt27ZDlGuZkGH9NRXK6bz1rmWfC\nYkmuM8YpNhjOJEsejwc7d34EozFLtqEnxSETPCAietHet1jcg561zJMwahTXMtPAGM4kO3a7DXv3\n7obFwjXMl5PrTONUEot74HZ3Y8SIUZgwYVK8yqQkwDFnkpWOjnbs3bsL2dmpd9zjla7cxzoWM425\nN3Z0or0HPp8Pen0Gpk+/Lo5VUjJgy5lkQy5rmOVgoBbapEnFMX/OZG15y7H7v3ct86JFN0hdCikA\nW84kC42N9airk8caZjkYqIUGBKOaadz7nABw8eJFNDU1oLb2eJyuQDrxPB860tnewWAQDoeTa5kp\nZGw5k+Rqa4/j3LmzMJm4hnkosZhpHAwG0dhYD6/XB1EUsWfPLsVuKDKYeJ4PHck9EEURNpsdK1as\nSqr3meKLLWeSVE1NNVpbz8FolM8aZjkYrIUWzQ5dxcVT4PV64fH07But1+uh02VIvkOW0oR7D6xW\nG5YsWY709PQEVEfJgi1nksyhQwfgcDhgMBikLkV24rEeV61WY9GiJXC7XVCpVMjNzUvKo17ldD70\npUuXsHDhEmRmZkry+qRcDGdKOFEUsW/fbgQCfmRmymtzETmJxzrqkpISNDTUw263QRRFyXfIige5\nbDRitVoxf/4N3HKWIsJwpoQKBoPYvXsnVCpAp9NJXY7sxHuWsVqtxs03/z22bfsQAFBWFt046OX1\nzpwpn+VBUmwQczmr1YZZs+YiOztHshpI2RjOlDCCIGDHjm3Q6dKh1WqlLidk0QZmqF+fiKVOgiBg\ny5a/wGazoqvrIs6cacGdd94d0XjolfU2NzehvPzmlJ/0ZLfbMH36dcjPHyF1KaRgnBBGCeH3+/HR\nRx8iI0OvuGCOZllOOF+fiOMM6+vrYLNZ0dBQj9bWVtTXN+Dll1+MaKnRlfXabNIfvyg1u92OyZNL\nMXr0NVKXQgrHcKa483g8+OijvyEry6C4VlW0gRmrwI3lzl5dXRfh9XqhUqmgUqngcjnjFqqptCOZ\nw+HE+PETUVg4TupSKAkwnCmu3G43duzYBrPZ3LfulAY22PKpWG6qUVw8BQZDJkRRhCiK0OnSkZOT\nG5N6zeb+k8viuRmI3DidTowZMxYTJ0a3ixtRL445U9w4nU7s3r1T0QdYRLssJ5yvH2yWcW3t8Zht\nqqFWq3HnnXfj5ZdfhMvlRE5OLiyW7LBnbPeOo/dsKRqEWq3GzJnXweMJ9D0mnpuBDFcXkLhZ2m63\nG3l5BZgyZWrcX4tSB8OZ4sJms2L//j2KDmYg+mU54X59ImYZp6en4+67vxXyJLUrH3flRDCTyXzZ\nxLXAgM8TilhMvEv03uEeTzeMRjOuu25G3F6DUhPDmWLu4sWLqKzcj+xsCwB5HkIQjmgDM9qvj8em\nGqHUNFjYDdYinjNnVsR1xyJYE91S93q9SE/PwJw58+Ly/JTaGM4UU+3t7aiuruwXzEo+CUkOHyyk\n2lRjsLALVTh1S9EFHo1AwA+VKg0LFvCEKYoPhjPFzIULraipqYbFYun7O6X90r2cnD5YSL2pxuXC\nHUdPVN2J2rYzEAjA5wtg2bIyRQ/ZkLwxnCkmPgvm5Dny8coPFlbrJfztb++jqKhIkd3z4Ros7OLR\nko9FsCaihyEQCMDj8WH5cgYzxRfDmaI2VDDL6RCCaASDQTQ01OPSpS50dHQorns+EkOFXaxbxLEK\n1ni21C8PZi4LpHhjOFNUhmsxy+UQgkhc/sGis7MDAJCXlw+VSqWo7vloJLJbWk5d91diMFOiMZwp\nYqF2Zcv5l+5QLv9g0dzcjPb2dnZlpiAGM0mB32kUkWQcYx5I7weL8vKbYDZbrtq9i5JbTzB7GcyU\ncGw5U9ja2lIjmC+n5O75VBCPJW+fBfNKBjMlHMOZwtLW1oojR1IrmHsptXs+2cVjyRuDmaTG7zoK\nWSoHM0UvXidUxfqoTQYzyQFbzhSSVAtmOewMlkzktKHLUAKBAFQqgcFMkuN3Hw0rHmPMcj7nN5WO\nOkyUWLduLzfYUZvhEgQBHo8Xf/d3f8dgJsmx5UxD6g1mszm2wSznVpSStxxNRbGYrCcIArq7PWwx\nk2xE/F34m9/8BkuXLsVtt92G2267DTt37oxlXSQD8QhmIL6tKJKnWLVuB9M7Wa+kpJTBTEkh4paz\nSqVCRUUFKioqYlkPyUS8glkJlLblqBLGx+W6FI3BTHIVVbe2KIqxqoNkJN7BHGn4JSqE5BokA5H7\nEMHl5LYUjcFMchZVOL/++ut45513MH36dPzoRz+CyWSKVV0kkfb29rjPyo4k/AYLoXjWKKcgGQzH\nxyPD5VIkdypxiOZvRUUFOjs7r/r7+++/HzNnzkROTg4A4Omnn0ZHRwceffTR+FVKcXfx4kV8/PHH\n/c5jlotjx45h//79fb9Ig8EgFixYgGnTpklcmbT4voTP5/MBAFatWsVgJtkasuX80ksvhfQkX/zi\nF/GP//iPIT22o8MR0uPkLD/fqPjruPIaHA479uz5GNnZ2XC5vBJWNjCPxwefL9AvhDyenl+yia43\nHt3rBoMuousYO3Y8jhw52m+IYOzY8ZLcw0ivIZF6glmFRYuW4uJF14CPScafb6VKpusIV8Td2u3t\n7RgxYgQA4MMPP8TkyZMjfSqSmNvtxp49u5CdnS11KYOSyyQtQRDw3nt/QnPzKQBAbW0t1qy5VbIx\nXiWNj0vN6/VCo9Hi+usX8XQxkr2Iw/nf//3fceLECahUKowZMwaPPPJILOuiBPH5fPj44+2y3/lL\nLiFUW1uLQ4cq+7pGL168iOLiKTHvRg6nda6U8XEpdXd3w2DIwpw58xnMpAgRh/MTTzwRyzpIAoFA\nANu3b4XZbFLELyw5hNCZMy3wer193eterxdnzrTENJyVNANbCdxuN8zmbMyaNUfqUohCxtkQChUI\nBFBZeQCVlQcQCATC/vpgMIgdO7bBaMzipJgwjB07FjqdDqIoQhRF6HQ6jB49OqZbkXKTlthxuVzI\nyclnMJPicPtOBQoEAnjxxY3o6uoCAFRVVeKuu9ZBowntdoqiiA8++AAZGXq2xsJUUlKK2bPnorm5\nCQBQWFiEpqYmOBw9k1aU3MpVwmYm4XA6HRg1agymTuXMdVIehrMCVVdXoaurq6/F29XVherqKsyd\nO3/YrxVFEbt3fwyDQQuNRv5d2XKjVquxdu2tfSEmCCKqqipjus44nMlvsQrUZOtKdzgcKCwcj+Ji\nTlQlZWI4p5j9+/dCFAWkpxvg98t72YtcXT72XVt7PC7PH8rkt1gGajJtZmKz2VFcXIKioiKpSyGK\nGAcbFWjmzNnIycnpO0QgJycHM2fOHvbrqqoq4fN5oNPpElBlaojXgQ6hHOTAsemrWa02lJZOZzCT\n4rHlrEAajQZ33bUO1dVVAHrCerjx5k8+OQK73YrMzMxElBh3vd25en06xo4dz3XGUZLLOvJoWK1W\nzJgxBwUFBVKXQhQ1hrNCaTSakMaYAaCu7gQ6OtqQlZUV56oS4/Lu3PR0DY4cOSrp+KhUS7xiGahK\n/5DR1XUJ8+ff0LelMJHSMZyTXGNjPc6ePQOjMf7BnKjZvoN158p9fDTW70+sA1UO68jDJYoirFYb\nFi1aAqORB+9Q8mA4J7HTp1tw6lRjQk4LS7bZvrEWr/dHiYEaK8FgEHa7HUuWLE+a4RqiXpwQlqTa\n29tRV3csYcd4JnJyUrwmYcUTJ2/FliAIcDpdWL58FYOZkhJbzknI4bCjquogcnLke5BFNC7vzpV6\nQhglns/nQzAYxIoVq3jfKWmx5ZxkfD7fp0c/JvZM5kS3Znu7c6dNm6aIX9BKbO3LUXe3B+npeixZ\nskIR950oUmw5J5FgMIiPP/4IZrM54QdZSD3bN1GT0SJ9Hanfn2TgcjmRm1uA666bIXUpRHHHcE4S\nvdtyZmRkSHaQhVSTkxI1GS3a10nlyVvRstvtKCqagEmTuB0npQZ2ayeJqqpKAMGQD79IJomabMVJ\nXdKwWm2YOnUag5lSSur9Jk9CdXUn4HDYOGuVkkrPGmYr5syZj7y8fKnLIUootpwV7vTpFpw9ezql\ngzlRk604qStxgsEgrFYbFi5cwmCmlMSWs4J1dLSjru44zGaz1KVIKlGTrYZ7nWQ7D1kqgiDA5XJj\nxYpVSE9Pl7ocIkkwnBXK4bDj0KHkXcscrkRNthrsdbhDWmz4fD4IAtcwE7FbW4F61jLviutaZkEQ\nUFt7HLW1xyEIQtxeJ1lwslj0etcwL13KNcxEbDkrTM9a5u0wm01xW8us1FYgu5WVi2uYifpjy1lB\nRFHEnj0fIyNDH9e1zEpsBfZ+oDh48CAOHjyIzZvfS2iLn5PFIme32zFmTBGDmegybDkryGdrmXVS\nlyI7l3+gAJDwYyS5A1hkrFYbSkunYcyYQqlLIZIVhrNC1NefhMNhRWamIe6vVVw8BXV1J/u6tdkK\nDA13AAudKIq4dMmKuXO5hploIAxnBWhvb0dzcxPM5sQc/6jEViA/UCiHIAhwOBxYsmQ5DIb4f9gk\nUiKGs8x1d3fj8OGDyM5O7JIppbUClfiBIhV5vV4EgyJWrryJ94doCAxnGQsGg9iz52NYLIk9/lGp\nlPaBItW4XC6YTBbMnj034aemESkNw1nGDhzYC71ep8hfZFzWRJez2+0YN24Ciot5eAVRKBjOMlVb\nexwejweZmRlSlxI2KdZJ88OAfFmtVlx33UyMHDla6lKIFIPhLEOtredx9uxpmEyJmQAWa4le1qTU\nTVOSnSAIsNsdWLhwMYxGZX4vE0mFm5DIjNPpRE3NYcUGsxR6PwyoVCp0dV3EqVONqK2tlbqslOb3\n++Hx+FBWVs5gJooAw1lGBEHA3r27FD8BTIrdskRRxMmTdTh//jzOnz+P3bs/5p7gEnG73dBqdVi+\nvAxarVbqcogUKapu7ddeew3/+7//C7VajWXLluGBBx6IVV0pae/e3cjKMihyAtjlYrmsKZSx5OLi\nKfj44x3weDxQqVTQ63XQ6XQJ3SGMejgcdlxzTSHfd6IoRRzO+/btw7Zt2/Duu+9Cq9Wiq6srlnWl\nnE8+OYJgMID0dH1cnv/KkIu3WCxrCnUsWa1WY+HCxXA6XVCp0pCbmxvV615ZAyeahcZqtaKkZBqu\nuWas1KUQKV7E4fzGG29g3bp1fd1WOTk5MSsq1Zw5cxrt7RdgNBrj8vwDhdwdd3whLq8VS+FMLCsp\nKUVDQ2NMdwjjRLPQBINB2Gx23HLLjQgEOMeUKBYiHnNuaWlBZWUlvvSlL+Ef/uEf8Mknn8SyrpRh\nt9tw4sTRuAUzMPApU8k2Yaq3K33evHmYN29eTEJUiadzJVogEIDb7caKFasSvosdUTIb8mNuRUUF\nOjs7r/r7+++/H4IgwGazYdOmTaipqcH999+PrVu3xq3QZBQIBLBv327FTwCLl3D3y+YOYYnV3e2B\nTqfDihXlip8nQSQ3KlEUxUi+8J577sG6deswf/58AEB5eTk2bdrET89h6P0wE+9uUkEQ8M4778Bm\n6wk5s9mM2267TRHds4Ig9LXyS0pKElqzHN43Ka9/KHa7HWPHjsWsWbOkLoUoKUUczr///e/R3t6O\n733vezh16hQqKiqwffv2Yb+uo8MRycvJSn6+MerrqKs7gdbW8wnbAezKiU0mUyZcLm9CXjueDAZd\nXK8jURPCBrqOK8e8TSaz5GPeoijCarVi+vTrrpr4FYufCzlIhutIhmsAkus6whXx7I3Pf/7zeOih\nh7BmzRpotVo8/vjjkT5Vyunq6kJLy6mEdmezyzcyUr5vid5pbTiCIMDpdGHhwqVxnSNBRFGEs1ar\nxZNPPhnLWlKCIAiorNwX12Dm8h+Kte5uD7TadJSVlfP7iSgBuO4hwQ4c2BvXVgeX/ySPcCfExYvd\nbsfo0WNQWjo94a9NlKoYzgnU2FgPr9eDzMzMuL2G3LpCKXKx3GktEj3jyzZcd91MjBrFE6WIEonh\nnCA2mxWNjQ2wWMxSl0IJEKuhBanGvP1+P7q7PVi8eBkMBkPCX58o1TGcEyAYDOLAgX0JCWa5dIWm\nMqUPLbjdbuj1GSgrK+/rgSGixGI4J0Bl5YGELZmSuis0XMk4eU3JQws2mw2FhUWYMmWq1KUQpTSG\nc5w1NzfB6bQjKysrYa+plGVTSm9hJpPe9cszZ85FQUGB1OUQpTz2WcWR0+lEXd2JhAazkiTr3tVS\nnGcdjUDAD5fLhaVLyxjMRDLBlnOciKLIfbNTlJKGFlwuFwwGI1asWMr9sYlkhOEcJ1VVB5GZqecv\nvCEk8+Q1JQwt2Gw2FBVNRHHxZKlLIaIrMJzj4Ny5s7BaL3GLw2EoqYWZTHrOX7Zhzpz5yMvLl7oc\nIhoAwznGAoEAjh2rYXd2iBLdwkzG2eHh8Hq9EIQgVqwoR3p6utTlENEgGM4xVlm5ny3mOIk2WFN9\ndrjdbkdBwShMn34dh1uIZI7hHEPnzp2F2+1EVpaywlkJrcnBgjUcSl5/HI3ebuyZM2ejoGCU1OUQ\nUQgYzjGi1O5spbQmBwvWOXNmSVyZvHm9XgSDIruxiRSG65xj5NChA4rszk7WtcYDUdr642jZ7XZk\nZ+di2bIyBjORwrDlHAPnzp2Fy+VQXHe2ksRi2VWqzA7/rBt7DgoKRkpdDhFFgOEcJUEQcPRoDbKz\nldWd3Uspa41jFaxKWH8cDY/HA1EEu7GJFI7hHKXKygMwmZTbYlZSazLZgzVaNpsdo0aNxvTp10ld\nChFFieEchfPnz8HptCtyrPly8Qw9JcwET5R4vRc93dj2T7uxuTc2UTJgOEeopzv7iOJmZyeSUmaC\nJ0K83ovPurFXsRubKIlwtnaEKiuVOTs7kVJpJvhw4vFe2Gx25ObmczY2URJiyzkCZ8+eTYrubFKm\nz2Zj8+xlomTFlnOYgsEgqqqqGMwhSLV1xUOJ1Xvh8XTD5/NjxYpyBjNREmPLOUxHj9ZAr9fD7xel\nLkX2lDQTPN5i8V5YrTYUFo7jjHWiFMBwDkN3dzcuXDiHa64ZCb/fK3U5isDlT5+J9L0IBPxwuz1Y\nsOAGmM2cgEiUChjOYaiuPsRfjpRQDocd2dl5uOGGpTxJiiiFMJxD1N7eBpfLCZPJJHUplAIEQYDd\nbseMGbMwcuRoqcshogRjOIdAFEUcPVrDYJaxZNrsxO12Iz1dh5Urb4JGwx9RolTEn/wQNDSchEaj\n3F/2yS5ZNjsRRRFWqxXFxSWYMGGi1OUQkYS4lGoYgUAAp041Qq/XS10KDSIZNjvxeDxwudxYvHg5\ng5mI2HIeTnU11zRTfNlsVkydOhmzZ0/kpC8iAsCW85Dsdhu6ujoV1z2aapS62UkgEIDVasOsWfMx\na9YsBjMR9WHLeQjV1VUwm81Sl5FUk53iQYmbnTidDmRlmbFq1WKkpfEzMhH1F3E4r1+/HqdOnQIA\n2O12mEwmvPPOOzErTGpnz56BIASgUukkrSNZJjvFm1I2OwkGg7BabZg+/VqMGVModTlEJFMRh/NT\nTz3V9+fHH388qcZlRVFEXd1xWVzT5ZOdAPRNdlJCEFF/bnc30tLSsHz5Sk4wJKIhRd2tLYoitmzZ\ngldffTUW9chCY2MD15dSzPQukZo4sRiTJk2WuhwiUoCoB7sqKyuRm5uLwsLk6KITRREtLU3IyMiQ\nuhQAyp3sRD3cbje8Xh+WLi1jMBNRyIZsHlZUVKCzs/Oqv1+/fj3KysoAAJs3b8aaNWviU50EGhrq\nodVqpS6jjxInO9FnreVJk6Zg4sRJUpdDRAqjEkUx4rMPA4EAli1bhrfffjspzpYVRRGbN2+WxVgz\nKZfT6YRer8fixYs5tkxEEYlqYHXPnj2YMGFCWMHc0eGI5iXjqr6+Dj5fEC7X0MdBGgy6YR8jd8lw\nDYC8riMYDMJms2Hy5KkYP34CHA4/HA5/SF+bn2+U9c9GKJLhGoDkuI5kuAYgua4jXFGF85YtW7B6\n9eponkI2RFHE6dMtMBqzpC5FcleuqwbAbvVhuFwupKfrsGJFOdLT06Uuh4gULqpw3rBhQ6zqkFxL\nyylotQydK9dVnzhRC5UKcDh6Pr1ynXV/va3lkpJpGDeuSOpyiChJcL3Qp06daoLBkCl1GTET7q5i\nvY9vbm6GzWbte3xzcxNUKhXy80cA4Drry/WMLWegrOxGWU0iJCLlYzgDaG09B1EMSl1GzIS7q9jl\nj+/s7EBXVxemTCnhXs+DEAQBdrsdU6dOR2HhOKnLIaIkxE19AdTXn0RWVvKMNYd7hOLlj8/LywcA\ndHZ2IBgMoqhoAoqKxnOd9adcLicAFcrKbmQwE1HcpHzL+eLFi+judqG5uREAJzylpaVh0qRiFBQU\noKioiBPCPiUIAhwOB0pLp3NPbCKKu5QP59ra49i5c2fcD5ZI5MlSxcVTUFd3su+ahmvtXvl4iyUb\n5eU39asxlceYew52saCs7EZu60pECZHSv2mCwSCqqg7F/WCJRJ8sFe6uYtyFbGBerxd+vx8zZ85F\nXl6e1OUQUQpJ6XBuampERkb8j4SU4mSpcI9QVMqRi4nQu/VmYeF4lJRM5cQ4Ikq4lJ4QduHCeUyb\nNp0HS1Afp9MBQRCxbNlKTJ1aymAmIkmkbMvZ6/XC6XQgJycn7l264Y4BU+IFAn64XG5Mm3YdRo++\nRupyiCjFpWw419Udh9lsBhD/Ll2O6cqXKIqw2WwoKBiF669f0jf0QEQkpZQN587OTmRlGRL2ehzT\nlR+32420NDUWLlyCrCyeREZE8pGS4dzV1QVBCEhdBkmkd81ycXEJxo+fIHU5RERXSclwbmw8CZPJ\nJHUZJAGbzQ6LJZtrlolI1lLut5Moirh0qQsWi0XqUiiBetYsBzB79jzk5uZKXQ4R0ZBSLpzPnz/L\n83ZTiCAIsNnsKCqawMM8iEgxUi6c29ouIDMzeY6GpMHZbFZYLLlYuZJHOhKRsqRcOLtcLuh0bDkn\nM6fTBY1Gg/nzF8Js5vAFESlPSoWzKIpwuxnOycrn88Hj8aKkZCpPjiIiRUupcO7q6uLmH0koGAzC\nZrNhzJhClJZO57gyESleSoXzuXOnYTRys4lk0XtAhUaTiRUryjnRj4iSRkqFc89YZOjbMybyDGYK\nj9PpgFarQ1nZcvj9vC9ElFxSKpzdbmfIm48k+gxmCo3H40EgEMDUqdMxatQ1sFiM6OhwSF0WEVFM\npUw4u1yusLbslOIMZhqc3++H0+nChAkTMWnSZI4rE1FSS5lwPnOmBSaTWeoyKEy9k71GjhyNG27g\nqVFElBpS5jed1+sNq0u6uHgKTCYzgsEggsEgz2BOsGAw+Onsei1WrCjHjBmzGMxElDJSpuUcCIR3\nChXPYJZG7wxsiyUHy5atREZGhtQlERElXMqEcyRHRPIM5sQRRRE2mxVGowWLFy+HwZC4s7aJiOQm\nhcJZgFrNblG5EUURdrsNWVkmLFy4FFlZXIdORJQy4ez3+6FW66Qugy5js9mQkZHJPbCJiK6QMuEc\nDApSl6BYsd6MxW63Iz1dj9mz5/NsZSKiAaRMOKtU7NKORCw3Y3E4HNBq0zFjxhzk5+fHulQioqSR\nQuHMTSsiEYvNWBwOJ9RqNaZNuw4jR46KV6lEREkjZcKZk8ESq2f2dc+Y8rRp1zKUiYjCEHE419TU\n4JFHHkEgEIBarcbDDz+M6667Lpa1xZRanTKfQ2KquHgK6upO9nVrD7cZS++OXiaTGQsWcKIXEVEk\nIk6sJ598Ev/8z/+MJUuWYMeOHXjyySfx2muvxbK2mNLp9PD7vVKXoTihbsYSCARgt9uRlzcCS5eW\ncfMQIqIoRBzO+fn5cDh6TgNyOBwoKCiIWVHxYDabcf78WZ75G4GhNmPxer3weDwoKBiF+fMXQqNh\nDwURUbQi/k36gx/8AF/96lfxxBNPIBgM4v/+7/9iWVfMjRw5GvX1tUhPz5G6lKTgcrkQDIoYO7YQ\nxcVTOOGOiCiGhgzniooKdHZ2XvX3999/P1577TX8+Mc/Rnl5ObZs2YKHHnoIL730UtwKjVZmZiY0\nGraao9WzHEqLSZOmYOzYQqnLISJKSipRFMVIvnD27NmoqqoC0DMzd+7cuTh06FBMi4u13bt3w+/3\nS12G4gSDQVitVpjNZlx77bUYMWKE1CURESW1iLu1x40bhwMHDmD+/PnYt28fioqKQvq6jg5HpC8Z\nNbO5AEePVsNojG7/ZoNBB5dL2ZPLQrkGl8sFQRCQm5uPefOWQK/XA5D2Hl4pP98oq3oilQzXkQzX\nACTHdSTDNQDJdR3hijicH3nkETzyyCPw+XzQ6/X4+c9/HulTJUxBQQGOH+d656EIggCbzQaj0YTi\n4im45pqxHE8mIkqwiMP52muvxZtvvhnLWhJi4sTJaGysh8GQKXUpsuJ0uiCKQeTljcDs2fOh0/GQ\nECIiqaTcupfCwnFoaDgpdRmy0NtKNpnMKCkpxejR10hdEhERIQXDGQBmz56LAwf2wWIxS12KJJxO\nJ0TRD4PBhDlzFnDtNxGRzKRkOFss2Rg/fiLOnWtBZqZB6nISwul0QhAEmEwWTJt2LaZPn5wUEy2I\niDNHs6gAAAljSURBVJJRSoYzABQXT4bNZoXL5UjKrSZFUYTT6YAoqmAymVFaei0KCkZychcRkQKk\nbDgDwNy581FdXQWrtQuZmcqfICaKIux2O9LS1DCZzLj22tlck0xEpEApHc4AMHPmbJw4cQxnzrTA\nYlHeCUq9RzNqNBqYTBbMmbMAOTncopSISMlSPpwBYOrUaRg1ajQOHToInS5d1hOkRFGE2+2Cx+OD\nwWBAVpYR11+/CCZTak5uIyJKRgznT1ks2SgrK0dt7XGcPXsaer1eFmt9e7qqHQgGgzAYDDAYslBU\nNBEjRhRw/JiIKEkxnC+jUqkwdeo0lJSUoqGhHufOnYHH0w2z2TzgGcbxIAgC7HY71Go1MjMNyMrK\nwuTJU2GxZDOMiYhSBMN5ACqVCsXFk1FcPBkejwcNDSdhtV6Cy+WESqWCTpcb1fMLggCXywW/3weN\nRov0dB3S09Oh1abDYDBh+vQZMBpNMboaIiJSGobzMPR6PaZPvw5ATxezw2FHd7cVZ8+2IxDwIxAI\nfPo/P3rP91Kp0NfK7fl/FTQaTV8Im0wZmDy5FGazGRoNbwEREfXHZAiDStWzZnjixDEoKOAGHkRE\nFB88oomIiEhmGM5EREQyw3AmIiKSGYYzERGRzDCciYiIZIbhTEREJDMMZyIiIplhOBMREckMw5mI\niEhmGM5EREQyw3AmIiKSGYYzERGRzDCciYiIZIbhTEREJDMMZyIiIplhOBMREckMw5mIiEhmGM5E\nREQyw3AmIiKSGYYzERGRzDCciYiIZCbicK6trcUdd9yBNWvW4Nvf/jacTmcs6yIiIkpZEYfzv/7r\nv+KBBx7Ae++9h/LycrzwwguxrIuIiChlRRzOLS0tmDt3LgBg4cKF+OCDD2JWFBERUSqLOJwnTZqE\nDz/8EADw17/+Fa2trTErioiIKJVphvrHiooKdHZ2XvX369evx6OPPopf/vKXePbZZ1FWVgatVhu3\nIomIiFKJShRFMdonOXXqFP7lX/4Fb775ZixqIiIiSmkRd2t3dXUBAILBIJ577jl85StfiVlRRERE\nqWzIbu2hbN68Gf/zP/8DALjpppvwuc99LmZFERERpbKYdGsTERFR7HCHMCIiIplhOBMREckMw5mI\niEhmIp4QFoqnn34a27Ztg0qlgsViwWOPPYZRo0Zd9biysjIYDAao1WpoNBq89dZb8SwrbKFex86d\nO/Hoo48iGAziC1/4AtatWydBtQN7/PHHsX37dmi1WhQWFmLDhg0wGo1XPU7u9yLU65DzvdiyZQue\neeYZNDU14a233sK0adMGfJzc70Wo1yHnewEAVqsV69evx/nz53HNNdfg6aefhslkuupxcrwfoby3\nv/jFL7Bz507o9Xo89thjKC0tlaDSoQ13Hfv378d3vvMdjB07FgBw44034jvf+Y4UpQ7qwQcfxI4d\nO5Cbm4v33ntvwMeEdS/EOHI4HH1/fvXVV8WHHnpowMetWLFCvHTpUjxLiUoo1xEIBMRVq1aJZ86c\nEX0+n7h27VqxoaEhkWUOadeuXaIgCKIoiuKTTz4pPvnkkwM+Tu73IpTrkPu9aGhoEJuamsSvf/3r\n4tGjRwd9nNzvRSjXIfd7IYqi+Pjjj4sbN24URVEUn3/+ecX8bITy3m7fvl285557RFEUxerqavGL\nX/yiFKUOKZTr2Ldvn3jvvfdKVGFoDh48KB47dkxcvXr1gP8e7r2Ia7d2VlZW35/dbjeys7OH+pAQ\nz1KiEsp11NTUoLCwEGPGjIFWq8Utt9yCrVu3JrLMIS1atAhpaT23e8aMGbhw4cKgj5XzvQjlOuR+\nLyZOnIjx48eH9Fg534tQrkPu9wIAtm3bhttvvx0AcPvtt/dtSzwQOd2PUN7brVu39l3bjBkzYLfb\nB9z1UUpK+B4Jxdy5cwfscekV7r2I+5jzU089heXLl+OPf/zjoN1ZKpUKFRUV+NznPodNmzbFu6SI\nDHcdbW1t/bq6CwoK0NbWlsgSQ/aHP/wBy5YtG/DflHAveg12HUq6F0NR0r0YjBLuxcWLF5GXlwcA\nyMvLw8WLFwd8nNzuRyjvbXt7O0aOHNn33yNHjhzyg7kUQrkOlUqFw4cPY+3atfjWt76FhoaGRJcZ\ntXDvRdRjzkPtv11WVob169dj/fr12LhxIzZs2IANGzZc9dg33ngDI0aMQFdXFyoqKjBhwoS+E68S\nJdrrUKlUiSp1UMNdAwA899xz0Gq1WLNmzYDPoYR7AQx9HUq5F8NRyr0YihzuBTD4ddx///39/lul\nUg1asxzux+VCfW+vbO3L5Z70CqWe0tJSbN++HRkZGdixYwe++93v4v33309AdbEVzr2IOpxfeuml\nkB63evXqQVvOI0aMAADk5OSgvLwcNTU1Cf+mj/Y6CgoK+p3MdeHCBRQUFMSsvlAMdw1vv/02duzY\ngVdeeWXQxyjhXgx3HUq4F6FQwr0YjhzuBTD0deTm5qKjowP5+flob29HTk7OgI+Tw/24XCjv7YgR\nI/q1zqR6/4cSynVcPrS4bNky/OxnP4PVaoXFYklYndEK917EtVu7ubm5789bt27F1KlTr3pMd3c3\nnE4ngJ7x3F27dmHy5MnxLCtsoVzH9OnT0dLSgrNnz8Ln8+Evf/kLVq5cmcAqh7Zz50688MILePbZ\nZ6HT6QZ8jBLuRSjXIfd7cbnBxjCVcC8uN9h1KOFelJWV4Y9//CMA4J133sGqVauueowc70co7+3K\nlSvxzjvvAACqq6thMpn6uvDlIpTr6Ozs7Pseq6mpAQBFBTMQwb2I1Uy1gfzTP/2TuHr1anHt2rXi\nfffdJ3Z2doqiKIoXLlwQv/Wtb4miKIqnT58W165dK65du1a85ZZbxN/+9rfxLCkioVyHKPbMxrvx\nxhvFVatWye46ysvLxeXLl4u33nqreOutt4oPP/ywKIrKuxehXIcoyvtefPDBB+LSpUvFa6+9Vly4\ncKF49913i6KovHsRynWIorzvhSiK4qVLl8Q777xTvPHGG8WKigrRZrOJoqiM+zHQe/vGG2+Ib7zx\nRt9jfvazn4mrVq0S16xZM+TqACkNdx2vv/66eMstt4hr164V77jjDvHw4cNSljug9evXi4sWLRKn\nTZsmLl26VHzzzTejuhfcW5uIiEhmuEMYERGRzDCciYiIZIbhTEREJDMMZyIiIplhOBMREckMw5mI\niEhmGM5EREQyw3AmIiKSmf8P1mRTInjtNNsAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "blue = sns.color_palette()[0]\n", + "\n", + "e = Ellipse(mu_actual, 2 * np.sqrt(5.991 * var[0]), 2 * np.sqrt(5.991 * var[1]), angle=-angle)\n", + "e.set_alpha(0.5)\n", + "e.set_facecolor('gray')\n", + "e.set_zorder(10);\n", + "ax.add_artist(e);\n", + "\n", + "ax.scatter(x[:, 0], x[:, 1], c='k', alpha=0.5, zorder=11);\n", + "\n", + "rect = plt.Rectangle((0, 0), 1, 1, fc='gray', alpha=0.5)\n", + "ax.legend([rect], ['95% true credible region'], loc=2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The sampling distribution for our model is $x_i \\sim N(\\mu, \\Lambda)$, where $\\Lambda$ is the [precision matrix](https://en.wikipedia.org/wiki/Precision_(statistics)) of the distribution. The precision matrix is the inverse of the covariance matrix. The support of the LKJ distribution is the set of [correlation matrices](https://en.wikipedia.org/wiki/Correlation_and_dependence#Correlation_matrices), not covariance matrices. We will use the separation strategy from [Barnard et al.](http://www3.stat.sinica.edu.tw/statistica/oldpdf/A10n416.pdf) to combine an LKJ prior on the correlation matrix with a prior on the standard deviations of each dimension to produce a prior on the covariance matrix.\n", + "\n", + "Let $\\sigma$ be the vector of standard deviations of each component of our normal distribution, and $\\mathbf{C}$ be the correlation matrix. The relationship\n", + "\n", + "$$\\Sigma = \\operatorname{diag}(\\sigma)\\ \\mathbf{C} \\operatorname{diag}(\\sigma)$$\n", + "\n", + "shows that priors on $\\sigma$ and $\\mathbf{C}$ will induce a prior on $\\Sigma$. Following Barnard et al., we place a standard [lognormal](https://en.wikipedia.org/wiki/Log-normal_distribution) prior each the elements $\\sigma$, and an LKJ prior on the correlation matric $\\mathbf{C}$. The LKJ distribution requires a shape parameter $\\nu > 0$. If $\\mathbf{C} \\sim LKJ(\\nu)$, then $f(\\mathbf{C}) \\propto |\\mathbf{C}|^{\\nu - 1}$ (here $|\\cdot|$ is the determinant).\n", + "\n", + "We can now begin to build this model in `pymc3`." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO (theano.gof.compilelock): Waiting for existing lock by process '1517' (I am process '1884')\n", + "INFO:theano.gof.compilelock:Waiting for existing lock by process '1517' (I am process '1884')\n", + "INFO (theano.gof.compilelock): To manually release the lock, delete /home/vagrant/.theano/compiledir_Linux-3.13--generic-x86_64-with-Ubuntu-14.04-trusty-x86_64-2.7.6-64/lock_dir\n", + "INFO:theano.gof.compilelock:To manually release the lock, delete /home/vagrant/.theano/compiledir_Linux-3.13--generic-x86_64-with-Ubuntu-14.04-trusty-x86_64-2.7.6-64/lock_dir\n" + ] + } + ], + "source": [ + "with pm.Model() as model:\n", + " sigma = pm.Lognormal('sigma', np.zeros(2), np.ones(2), shape=2)\n", + " \n", + " nu = pm.Uniform('nu', 0, 5)\n", + " C_triu = pm.LKJCorr('C_triu', nu, 2) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There is a slight complication in `pymc3`'s handling of the `LKJCorr` distribution; `pymc3` represents the support of this distribution as a one-dimensional vector of the upper triangular elements of the full covariance matrix. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(1,)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C_triu.tag.test_value.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In order to build a the full correlation matric $\\mathbf{C}$, we first build a $2 \\times 2$ tensor whose values are all `C_triu` and then set the diagonal entries to one. (Recall that a correlation matrix must be symmetric and positive definite with all diagonal entries equal to one.) We can then proceed to build the covariance matrix $\\Sigma$ and the precision matrix $\\Lambda$." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "with model:\n", + " C = pm.Deterministic('C', T.fill_diagonal(C_triu[np.zeros((2, 2), dtype=np.int64)], 1.))\n", + " \n", + " sigma_diag = pm.Deterministic('sigma_mat', T.nlinalg.diag(sigma))\n", + " cov = pm.Deterministic('cov', T.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))\n", + " tau = pm.Deterministic('tau', T.nlinalg.matrix_inverse(cov))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "While defining `C` in terms of `C_triu` was simple in this case because our sampling distribution is two-dimensional, the example from this [StackOverflow question](http://stackoverflow.com/questions/29759789/modified-bpmf-in-pymc3-using-lkjcorr-priors-positivedefiniteerror-using-nuts) shows how to generalize this transformation to arbitrarily many dimensions.\n", + "\n", + "Finally, we define the prior on $\\mu$ and the sampling distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with model:\n", + " mu = pm.MvNormal('mu', 0, tau, shape=2)\n", + " \n", + " x_ = pm.MvNormal('x', mu, tau, observed=x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We are now ready to fit this model using `pymc3`." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "n_samples = 4000\n", + "n_burn = 2000\n", + "n_thin = 2" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [-----------------100%-----------------] 4000 of 4000 complete in 5.0 sec" + ] + } + ], + "source": [ + "with model:\n", + " step = pm.Metropolis()\n", + " trace_ = pm.sample(n_samples, step)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "trace = trace_[n_burn::n_thin]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see that the posterior estimate of $\\mu$ is reasonably accurate." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAACJCAYAAADAHsIyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl0XOV9wP3vnX3XrpFkSd6NbRyW4IQ0uHFix7QNmNUh\nhBhahYTkpSSNU0gTEiecF4JDTg8tObQUN8EBn9Z9wbg4YclmgilLIKQUs3m3ZUmWRhrNvs/ce98/\nRhpLSPJoGcmS/Pv8Y8/oznN/88z2/O6zKbqu6wghhBBCCCGEmBDDmQ5ACCGEEEIIIWYDSa6EEEII\nIYQQogQkuRJCCCGEEEKIEpDkSgghhBBCCCFKQJIrIYQQQgghhCgBSa6EEEIIIYQQogQkuRJCCCGE\nEEKIEpDkSgghhBBCCCFKQJIrIYQQQgghhCgBSa6EmKA1a9bws5/9jPXr13PhhRdy55134vf7+dKX\nvsRFF11ES0sLkUiE1157jdWrVw957KuvvnqGIhdCCCHy5LdMiNKQ5EqIEvjtb3/Lo48+yq9+9Ste\neOEFvvzlL3P77bfz6quvomkajz32GIqinOkwhRBCiBHJb5kQEyfJlRAlsHHjRiorK/F6vaxcuZIL\nLriApUuXYrFYWLduHe+///6ZDlEIIYQ4LfktE2LiJLkSogSqqqoK/7darUNuJxKJMxGWEEIIMWry\nWybExElyJcQUsdvtpFKpwm1VVQkGg2cwIiGEEGJs5LdMiNOT5EqIKTJ//nzS6TR79+4lm83y0EMP\nkclkznRYQgghxKjJb5kQpyfJlRBTQFEUXC4XP/jBD/jud7/L6tWrcTgc1NXVnenQhBBCiFGR3zIh\nilN0Xdcn8wRr1qzB6XRiNBoxmUzs3LlzMk8nhBBCFPXcc8/x4IMPcvToUXbu3Mm555477HEvvvgi\n9957L5qmsWHDBm655ZYpjlQIIcRMYpqKk2zfvp3y8vKpOJUQQghR1JIlS3jwwQf5/ve/P+Ixqqpy\n9913s23bNrxeLxs2bGDt2rUsXLhwCiMVQggxk0xJcjXJnWNCCCHEmIwmQdq3bx/Nzc00NjYCcNll\nl7Fnzx5JroQQQoxo0udcKYpCS0sL11xzDY8//vhkn04IIYQoCZ/PR319feG21+vF5/OdwYiEEEJM\nd5Pec7Vjxw5qa2sJBAK0tLSwYMECVq5cOeQ4Xddl128hhBAl09LSgt/vH3L/pk2bWLNmTdHHj+c3\nSX7LhBDi7DbpyVVtbS0AlZWVrFu3jn379g2bXCmKQk9PdLLDmZCaGrfEWALTPcbpHh9IjKUy3WOc\n7vFBPsbpatu2bRN6vNfrpbOzs3C7q6sLr9d72sfMhN+y6WAmvLfPNKmj4qSORkfqqbhS/pZN6rDA\nZDJJLBYDIJFI8NJLL7FkyZLJPKUQQggxJiPNC16xYgWtra20t7eTyWR49tlnWbt27RRHJ4QQYiaZ\n1J4rv9/PbbfdBuRXXVq/fj2rVq2azFMKIYQQRf32t7/lnnvuIRgM8pWvfIVly5bx05/+FJ/Px+bN\nm9m6dSsmk4nNmzdz8803F5Zil8UsigtG0xxqD+G2m7GYjZhNBhprXRhkuKQQkyISz2C3mjCbZPva\n6WBSk6umpiZ27949macQQgghxmzdunWsW7duyP1er5etW7cWbq9evZrVq1dPZWjTXiyZxWkzjTi3\nrNUXRdN1wolM4b5ANE2Z0wKAooDDZRv3+XOqhqrqWC3GUR2v6zon/XFsFhMVbisGw8hJnqbpp/37\nbJTNaYCO2TS6+hyLdFYlFE1T6bHN2IZ/MJrG7TBjMp6Z+NMZddj3uqbp6Oi0dsXoDiUoc1hYNq+y\n8PdsTuNIRxijUaGyyjXk8WOZH9rZG8dsNFBdbh//EzmLTMlS7EIIIcTZKJvTONEdpbnWNSmN17Ho\nDaewWoy47OYxP7a9O0Y0kaGyzMaxzggNVU6avUPnKBxsC5HK5ACYX+fBYjZyoC1IKpMr3A+QeN9H\nc7VjUCy6rqPDaXu4NF3nrcN+sqrGooayUTX2osksbT35KQreCgfz6z1DjkllcoRiGU74oljMRlbM\nr5yUxnQ2p6IoSqHsZDpHMJpG13Ui8Qxup4XGmqEN4bHq6InhD6dYNrcCVdNp645R5bFhteR7Ett7\nYqhqPpEMRFJouk5TrZs51c4Ry9Q0nVZfFJvFSH3V0OP84SQGRaHScypxPt4ZIRhLk0jnsJiN1FXa\nMRrGXq+qppFI5XDazZPeAxqOZzjeGSGdVdH6hgxXuKyc01wBQCKVxRdM0htOsXRuBS67mY6eGDqU\n5LUbKBhNc6AtWHhtUpkc+0+EMBoUkulcIT6AcCL//u3/XAYiKULxNADReGZQue3dMU72xqmrdJDO\nqlSX2XFYTYUkLpbMYlAUVE3DYjLS6svP16oqs52RBXsiiQy+QAJV1fFWOqhwW0f92HRWpc0Xo6Ha\nicM2NWmPJFdCCDGDpTL5RosMuRqb5557jgcffJCjR4+yc+dOzj333GGPW7NmDU6nE6PRiMlkYufO\nnWM6z4nuKD2hJLmcVmicfZCqaUUbnDlVK8wNS2VUukNJ4sksVnO+MRSMpTEoCgZFoabcTmOtk3RG\nxWg05BM8X5RIX0/SivlVRROseCpLV2+CploXbT0xekJJIJ+oAPSEkjR73RxqDxGMpqmvclLhthKI\npgBwWM14Kx0AnNNUgcGgYOnruXjrSH4Fx5P+OEuaygvnfPtoL4l0Dm+Fg5py+6AY/aEkXYEEzXVu\nsqoGQG8kRTieoarMhsVkpDMQx1txKmHrDiXpDSWxWk41dVIZddDzPHIyjKrqhOMZVE3rOybHobYQ\nFR4b6YyKw2aiZpgkLhBJcawzCuSTlMWN5bjsZpLpHAfaQpgMCsvmVRRe22xO481DfowGhQ8vqSGZ\nVjnaGSbWV6eQbyDHk1mqymy0+hOY0fGHk6iajqbp2CwmljSVYzYZ0HWdZFrFajEMef/0J5P/e6jn\nVLx9r81I2rqjlDktI743jnZG8Ifz74P+XsB+xzoj+IIJAFaeU4vJaEDTdYKxfOO+/289wST1VY4h\nPVnprEo0kcFpM6MoEE/mqPBYC99r/b0zTTUu5pQ4gfmgQCRFcsCFAMh/vo50hGmqdXG4I0winf/7\n4fYw8xs8hfqu8tiwW0fXtI7EM/jD+cS2zGnBajHicVgGx9L3mrV1R0mksvRGBr+GLpuZWOrU++dk\nb5yqMhtOm7nweQfIZFUG/kL09iXUJ3vjhdsGReHCxdVEE1kOtoeGjTmZzuGw5d8fmqYTiqXRdB2L\nyYjHaRn2McUEIimOnIzQVOvC47BgNimDLkSpmsaBE6HC5zMUTxcukui6zpGTETJZlXl1HuxWI5lc\n/rtS10HX4XBHiEQ6hz+SpK7SQSiWwWRUWD63ctJ6qSW5EkKIGSiRyvHQU2/z7vEgFW4rt13zoWGv\nyIvhLVmyhAcffJDvf//7RY/dvn075eXlRY8bjqrmE6J0dnCjPqdq+MMpdD3fG1DtsdNQ7SSeyqIo\n0N4TBx3OaS4nnsxy+GR42PL7G3mQX6kwp2l0BuJ0BuIjxnSoLUSlx0ZDtWPE3rT3jgdRNY1kJjeo\n8d9/pVzT8+/B/sZehz9Ghz/fwKyvdDKn5lTPxgevMq+YX8UJf4JUJsexzggGRaHJ6yo8F18wQW84\nhaIo6LqOx2kpNDLfOx4olNPfcA9G04Vjooksi+aU4bCZ6OiOkc6pMKCRGY6nyWRVVE3n6MkI0eTg\nK/oGRSkMaRw4rHFgcpXJqoTiGY72vSY2s4lUNv9czp1XSTSZLfTSHeuMUuGyYrUYOXoyjKbraKrO\ne8eDhXO77GZqy+0c7YwUnlcwlsbjthOJ5pOZfBKtEE1m+NPBbqrL7IVEx2U3s2J+1aDnYTYayKra\noMZ3tceOP5IsHDPX6y70SPQf/86xXubXe7BbTEMay+HYqfo40Bbk/IXV2K0mdF0vJE+QHxZqUBR6\nw0OTuVQ2x7GuCMe6IlhMRpbNrcBuNXG0I0w4kUFBQVHy77NFlFFdZiedUekOJQqvdX9y1d4dI57T\ncZpK10AORtP4ggkUFM5bWIUvmKAr0JcYhpNEE1lS2VOfuVQ2x/utp96T7x4L4LCZsJiMLGosG1J+\nIJIiEE1jt5po746R76ul8Fp+dJm3kFDmVK1wUQMYlFgtaSzH47RgMhrIZFUiiQyHO/LvxyMdEcqc\nlkHHp7MqNgO098QIxdJDkkfI1/mfDvZgs4ycGqSzGg5b/jOw/0SIRPrUd8OcahdNtfnXJpnOcdIf\nJ933WVs2t6LQW5vOqoTjGcqdFixmI6FY/sLG8a78+9+g5C9U9H9vJNMqqqbhsJqpq7RzvCuKL5jA\najZy0h8n15d0HWwPoWk6mdzg79qB+l9LyH93jqcXfzQkuRJCiBno8d8f4t3jQeZ63ZzojrL1l+/x\nwy9dfNbNFxmvsSxMMdJqgqPR36GY6BvC4wsk8leV4xna+5IRAH8kOajh2y8QTZPu622pcJ2aL+Sy\nm1EUhUQqV2h41pbbqaty0NoVJZNVyWl6oZHvsplpqnVxrCtKKpOjMxAnnsoyp8aFw2rkcHsYVdOx\nmI1YzcbCVeL+xGphQxnHOiOF5ErVNPYdHbyHmMdhwWYxUVflOO2QOpfdjMdpoT2aLCRUdX29XP2x\nDrwaP7DHxWE1YzQoVHqsZHMaJ3vzjav+Y1KZHO8c68ViMpLr6+GqLXdgNhkKyd/A3pyBHFYzKxZU\nEoqmUTWdjp54oSF9sC2Ur3udIa/ThxZW8sf93cRTWTp744OGTfnDyULDeaD+xKq23EF9lQO71YTF\nnI+5v5E80IWLa0imc7x3PEhWVQeVGUtmCURSnPTHUTUdo1Ehq2qYjUaaal28fyIIwKLGMhpSzsLr\nVlthL7yHGqod7G8NFZJEgEq3jUWNZSTTOULRNFl1cKP1rSN+zp1XSWvX4CW+ByYEZU4r8WS20ACe\nU+0qvA6ZnMpbR/wsm1tJJJF/vXXyPQ5AvocolWPgx29gz2O7P0YkrbK8aWgSo2l6obzRDkOMJDIc\naMvXlc1ixG41Ma/Ow1yvm5yqse9Ib+H9MLdv6F1/cgr5pCCnaYUeo4aUo9DL0++ELzYoOav22AnH\nM4W6jSaypNI5kn3DVEcycOilxWykusxOpdvG6/t9JNLZQtJjMRnJ5FQC4RRWQ763eOBQx2avm7eO\n+DEbjYUYBg7fXdJYTntPnAq3lQ5/jHRWJZvTePdYIH/hAgqJfoc/hj+UxGoxoigK4b4hiQBvHOim\nwmXFbDIWvq9cNjNL51aQHnA+q8lIOqfS1h0l0jeUMRjNl1NXaae2Iv9Zefd4gBPdg993/XGbjUbK\n3RYMikIgMvR92y/Zl1x1h5K0dkX5TAmXYpfkSgghZphoIsPLb3dRV+nge399EY8+d4CX3u7kQFuI\nZXOHH3omxkdRFFpaWjAYDFx//fVcd911pz0+mc5xuD1MVZmNMqel0MiD/NC2/sZYhSt/VbbKYyOX\n04ilcoWExmE143Ga6QokaO+OYTEbUMhfzR0ueZ5T4+SkP86cGicmo6Ew1E7XdbqDSTQ9P0/BoChU\nujOc7M03QiKJDJHWALXljlO9NAOSmoHKXVYuXFxNNqdhNBrY3xosXP22W0yct7BqTHMxmuvcxGOp\nQu/Tm4fzCU9DlZPaCjvhWAaL2Ug0kSkMXap02wYNIwQoc1kLiYbVZCSWzBKKpwtXrwfOsepv1Dtt\nZqzmfOO5ymNl39FezEYjS5vLB80ZCsXShYbwB4fUOW1m4qksNrMJo8HAOU0VHGgLFoaHjcRqNhZ6\nMZc2V1DuOtWrV+6yDunhhFPvFbvVxEXn1PCnA92FoZH9jndFyeRUzEYDyUz+b1lVxWEzo6BQW5Hv\neXPYTCyfV4mu5ZOOgUntBYur8YeTpLManf44gWiKEz4DsUR2ULI70InuWOFv5y+sJpVR6QklKevr\nlSh3WTjYFiq8ztVlNnKqNqinq7/nx24xDelR6X/t4VSikEjlsJhPJUzHOiNUuq1kchqZnEY6o9Ib\nSRU+TwvqPThsZjRdx9p38QDyvUj+cAqr2Uiz10WsL8Erc1hYMOdUwqYo+WFqdVVO2rqjVLpt1Ffl\nh9129MQxmwwsaPDgtJvzQ+raQn0XH3pxWM0YDJBKq+hQiKnfwjn59+ah9jCBaGpQL9hAlW4bZa58\nwjDSQi4Gg1LoRQUwGQysmF/Jsc4IoVi60AvaUOWk3G0t1MXHlteh6zqvve8bVF7/8OFKj41wPEOH\nH453RQo9TP0W1HvwVthp7YoST+UKSZfJYGD5vAr2He0FTvU094ulsrx12F9Ino0GA4say2jrjhFJ\nZAb1ygOFRNXtsHBOUwXJdA5FyX8uypwW4qkcmqbjtJsKCXWzV6MrkKTcZcFuNeELJIgmsgSiKY6c\nDJPOqIMucpWKJFdCCDHDvHnIj6rpfOL8BowGAxcv9/LS2528ddg/a5OrV155haNHj7Jx40b8fj/R\naJT58+ef9jEtLS34/f4h92/atIk1a9aM6rw7duygtraWQCBAS0sLCxYsYOXKlSMe//q7XQB0hlJ0\nhlKgGPC48w1bfyxb+L8KVJQ7+Pj5c/LH++Mc7OthWLnMi9Nu5t2jvfj7egGqKs14vSMP+2xsGH7Y\nYm3t4MeUlTuo6I6RyuToCebLTqk6Hred8xfXYDYZCMfSnPTHiff1WpW7rDTUD+4daGwoR+1r4BvH\nufDDqouaae2KcPzkqcZa85wKairsNPXdjiWzpNT8EKkFzRXUfGDBhZoaWPSBcnOqRrivIVfmshZ6\n0VavtJJIZan7wGIMDfXlw65k53TbePNgD3NqXFSX2TCZDIUE0mo2DlqcoqbGTSStFuoMwGI2kMkO\nbkwvmFNGOqNiNhmYO8wwXlXTOdKVb+zNb/BQ5qrBYTMPim+ZqhfqzGhU8qvG6eAyGfjYinpiiQz/\nd7AHRYGG+jK8Xg8GhULsNUPOOrA+81fvl2Zy/O/+bhJZDYPZhMdsorHWRTan4a1yYDQYePNANwAe\nt50Lz6ktDCP84G6mkYyGqvQtKOL10NxYQU7VaO2M9K1UmH8eboeFA61BnHYzFy2tJZ1Vee9ogGgi\ng8looMJjpSeY5HhPnDKXpfBZSuZ0OoIfSH6dp5JWfywLsVOvS/+wu3wPjkIuq/F+ewSHzYTHbeei\nvs/fcHVz/lLvoIsIcxrKBt32AnMbyzl4IlT47AI4TCbcDgso+QswuZyGzWIsfD5dHjt/fC+f3FjM\nBpbOrcTcl/yMZZXFjzmttPmi2K0mvJX5nrM6r4eeUBJNK0dRFGoq7MP2LK8rd3CkPUwgksJpNzOv\nqaLw3CqrdHIo5FQNRVEKz62uylH4XlowtwpN0/GHkmRyKm6HhTKXFc1o5MSA3k2Xw8zSuZW8MSCZ\na/K6Cwnt3MYKIvEMvZH8sOmTPfkEu2lOeSHusWz4W+c99d3lrfWgqhqH2kOEomkiabXwPiolSa6E\nEGKGeftI/krghUuqgfxwH6NB4dAIk5Bnuocffpi9e/fi9/vZuHEj2WyWO++8kx07dpz2cdu2bZvw\nuWtrawGorKxk3bp17Nu377TJVVWZjWPtwUH3NVQ5B12BL5Rd7qCnJ9/oyKZzhSvLkXCCRMxAtcuM\ny9zXmLcYC8dOlNtiwG2xYDcqvHMs/14yKArJeIqs0YAZmFvt4EhHmEA0zdwaR8nO3a+mxk1PTxSr\nouP1WPE4LRgMQC435FxLGtzEklmMmjrmOIKBwVe/jTCmMpbU5xtxyXi6yJGgZk69hgAfXeoFJd9D\n0j/UL5O0F5akHymO/jKa6xrp6YmS+cC8MIdRoaHChslowG41ks1p5FQdi8lAoDefxNS6LThspgm9\nbk1Vdk76E2i6TpXHhsdqBKuRXCpLRtexKPnhjZoGiViSdGL4OjKoauE5hQLxQu9rf3n9dFWlymWm\n0m3D39ebMKfSRsxmxGI20BtOnfqM9P07cF4aQFOtG5fdTCqdn9sF+SGnSt9yDolUFhWIJbKF+U79\nItF8b0sskiQRO/3iH8XUui2UWY2FXlVv5amhsvnPVZK0efBnuqnKTjan4XFayKWz5NJZhg4oLa7G\nlX9/xaMp4n09rnV9nzd0neBp5mPWui3UuvOP93+gR6fKeSrhrHTk0weT0TDkPaYAVgUyyQw9yQwu\ns4HlTWXkVI2Onjj1ZVYSsRSL691EExkURcFhGvp5KLMa0XQdv5JPOE8X91hVOcwYNY39fZ8X0zhW\nsDwdSa6EEGIG0XSd/SeCVHlseCvyQ3qs5vzcirbuGDlVO2P7sUyWp59+mieffLIwJK++vp5YrHRD\nOUaaU5VMJlFVFZfLRSKR4KWXXuK22247bVkrFlYTi6boCQ9s8LkIRNOFOQEfXeolHM/gdpxqrNit\nJhbUezAMWKbboChD5myUksNmospjQ9N05ta5h7xvFs4pY8EY9sIZD6PBQFVZ8T2vJmvieSk11Tr7\nJuunWTSnrJBEVJflE6poIjuqFdXOX1hddPXPgcMJjZahn/dS7Edks5hY0DB8b6lBUQoLNmi6ftp4\n3Q4LCgo6p99DTFGUwnfawPP011l9lROXw0Kob9EJs9HABUtqCAbjdAfzKyrWVzowGBQ8DjOZnEaV\nxzrsZyinavRGUuRyGm09MRxWE/PqPVjNxpLNW7VajMOubFjhttITTlJTNvg1cjvGt9remTCe3xiT\n0cDculM9TmaTYdDcseEMfJ+VWpnTQm25g0giw6I5pT2HJFdCCDGDnOyJE0/luGBR9aD7m71ujndF\n6exbPns2sdlsWCylbXj89re/5Z577iEYDPKVr3yFZcuW8dOf/hSfz8fmzZvZunUrfr+/kEypqsr6\n9etZtWpV0bLn1rnxOC20dceY63WjKAoXLKrGF0xgMeUbb8Pt01L7gYblZOtflet0zsSeNjOVuW/1\nu+E2ZzWbjFR6RrfP2WiX8p4uRrMNxEXn1KBq418YBvJzisqcFsqclkIjvcxlJZPMML9+cAKlKMpp\nvwdNRsOpi1MWIxVu67j23xqPSo+N8xZUY7ee2X3vznaKoox48WCiJv0TrKoq1157LXV1dfzbv/3b\nZJ9OCCFmtf6hf4s/MLG/f+nrk/74rEuu6uvreeONN4D8b8rDDz/MkiUfnNkxNuvWrWPdunVD7vd6\nvWzduhWApqYmdu/ePeayTUYDNeX2IXsjffCqvJidJCEdymQ0cIb30B5RdVnp59wUM1Wb2YozY9LT\n9Mcee2xMS94KIYQY2aH2/NyNxR8YKtFQdSq5mm2+973v8S//8i8cOnSI888/n9dff53vfOc7Zzos\nIYQQYohJTZ27urrYu3cvX/3qV/n5z38+macSQoizwqH2MC67edASygD1VfnbAzdJnC1qa2vZtm0b\niUQCTdNwuWZXz5wQQojZY1KTq3vvvZdvfetbJZ14LIQQZ6tAJEVvJMWFi6uHDD0qd1sxmwx0B8ez\nvtT09sILLww71Gr16tXjLvO+++7jhRdewGw209zczJYtW3C7hy7v++KLL3LvvfeiaRobNmzglltu\nGfc5hRBCzH6Tllz9/ve/p6qqiuXLl/Paa69N1mmEEOKscbBvvtVwqycZlPxGob5gYtgJ9TPZz372\ns8L/M5kM77//PsuXL59QcrVq1SruuOMODAYD//iP/8jDDz/M7bffPugYVVW5++672bZtG16vlw0b\nNrB27VoZ6i6EEGJEk5Zcvfnmmzz//PPs3buXTCZDLBbjW9/6Fj/+8Y9HfMxYNgU7UyTG0pjuMU73\n+EBiLJXpHuPA+Np6jgJw8Ycaho27sdZNR08cq8NKmWvoanQz1fbt2wfdPnz4MD/96U8nVOYll1xS\n+P/555/Pr3/96yHH7Nu3j+bmZhobGwG47LLL2LNnjyRXQgghRjRpydU3v/lNvvnNbwLw+uuv88gj\nj5w2sYKxbex3JvRvejidSYwTN93jA4mxVKZ7jB+M761DPVjMBjzW4TeU9fTtBXTgqJ/59ZOzxOxw\nMU61RYsW8e6775asvCeffJLLLrtsyP0+n4/6+vrCba/Xy759+0p2XiGEELNP0eTq5ptv5gtf+AKf\n+tSnZtUwEyGEmEmiiQwn/XGWza0YcQPHmvL8how9oeSUJVdTYeCcK1VVefvttzGbi28q29LSgt/v\nH3L/pk2bWLNmDQAPPfQQZrOZ9evXDzluvL950703dLqQeipO6qg4qaPRkXqaOkWTq8997nM8+uij\n3HPPPVx//fV89rOfpaKiYkwn+ehHP8pHP/rRcQcphBBnu/4l2M9pGnnT1/79Wvzh1JTENFUGzrky\nmUw0NzfzwAMPFH3ctm3bTvv3Xbt2sXfvXh599NFh/+71euns7Czc7urqwuv1Fj3vdO4NnS6me6/x\ndCB1VJzU0ehIPRVXyuSzaHJ16aWXcumll3LkyBF27NjB5ZdfziWXXMJNN93EihUrShaIEEKIkR0e\nYX+rgarL8j1Xsy25+uCcq1J48cUX+dnPfsb27duxWoefn7ZixQpaW1tpb2+ntraWZ599lvvvv7/k\nsQghhJg9xjTnStd1TCYTVquVf/iHf2DVqlWykaMQQkyBwx1hDIrC/IaRh/tVFZKr2bEc+0hLsPeb\nyGqB99xzD9lsli9+8YsAXHDBBdx11134fD42b97M1q1bMZlMbN68mZtvvrmwFLssZiGEEOJ0iiZX\nv/rVr/jP//xPenp62LhxI88++yxOp5NcLsell14qyZUQQkyynKpxvCtKY60Tm2Xkr2271YTDaqJ3\nlvRcDRwOOJyJJFe/+c1vhr3f6/WydevWQeeYyHmEEEKcXYomV7t27eLLX/4yq1atGnQF0WQy8d3v\nfndSgxNCCAFt3TFyqsbChpGHBParKrPRHUzOir2uJmM4oBBCCDGZiiZXDz/88JAf6P4f7bVr105a\nYEIIIfKOdUYAmFdffMJtlcdGW3eMeCqHy158Rb2ZIhqNcuzYMdLpdOG+j3zkI+Mu77777uOFF17A\nbDbT3NzMli1bcLuH1u+aNWtwOp0YjUZMJhM7d+4c9zmFEELMfsOv5zvADTfcQDgcLtwOBoNs3Lhx\nUoMSQghWkeoDAAAgAElEQVRxyvHO/CpPC0axvHr/vKvZMjQQ4Nlnn+Xyyy/npptu4nvf+x433XQT\n995774TKXLVqFc888wy/+MUvmDdvHg8//PCIx27fvp2nnnpKEishhBBFFU2uEokEZWWnhqJUVFQQ\nj8cnNSghhBCnHO+KYDEbqK9yFj22ypNPrgKR2ZNcPfTQQzz55JPMmzePX//61/z0pz+d8Gq1l1xy\nCQZD/ifw/PPPp6ura8RjdV2f0LmEEEKcPYomV5qmkUgkCrfj8Ti5XG5SgxJCCJGXyaqc9Cdo9rox\nGIrPoar05JcV98+i5MpkMlFdXY2qqkA+MXr77bdLVv6TTz454qIViqLQ0tLCNddcw+OPP16ycwoh\nhJidis65uvzyy/niF7/I5z//eXRd57/+67+G3cleCCFE6bV1x9B0nXne0W1wOBt7rqxWK5qm0dzc\nzPbt22loaCCZLL7cfEtLC36/f8j9mzZtYs2aNUC+V8xsNo/4u7Zjxw5qa2sJBAK0tLSwYMECVq5c\nedrzlnIzytlM6qk4qaPipI5GR+pp6hRNrr7yla9QW1vLnj17UBSF66+/nquuumoqYhNCiLPe8a78\nfKu5daP7YazsS656I+kiR84cf/d3f0csFuP222/nrrvuIhqN8oMf/KDo47Zt23bav+/atYu9e/fy\n6KOPjnhMbW0tAJWVlaxbt459+/YVTa56eqJFYzvb1dS4pZ6KkDoqTupodKSeiitl8jmqTYSvvvpq\nrr766jEXnk6n2bhxI5lMhmw2y9q1a/n7v//7MZcjhBBnq9YxJldlLgtGgzKrFrS48MILsdlseDye\n0yZCY/Hiiy/ys5/9jO3bt2O1Woc9JplMoqoqLpeLRCLBSy+9xG233VaS8wshhJidiiZXfr+f7du3\n09bWVphrpSgKDzzwQNHCrVYrjz32GHa7nVwuxw033MAbb7xR9KqfEEKIvFZfFIvJQH2VY1THGxSF\nCreVQHT2JFef/OQnWbt2LVdffXXJfj/uuecestksX/ziFwG44IILuOuuu/D5fGzevJmtW7fi9/sL\nyZSqqqxfv55Vq1aV5PxCCCFmp6LJ1de+9jUWLVrExz/+8cLKSmPZmNJutwOQzWZRVZXy8vJxhiqE\nEGeX/GIWcebVuzEaiq4/VFDlsXGgLUQ2p2E2jf5x09Vzzz3H008/zb333kssFuOaa67hqquuoq6u\nbtxl/uY3vxn2fq/Xy9atWwFoampi9+7d4z6HEEKIs0/R5CoajXL33XeP+wSapnH11Vdz4sQJPv/5\nz7No0aJxlyWEEGeT450RVE1nnrf4/lYD9c+7CkZT1FaMrsdrOquoqODGG2/kxhtv5MCBA/z85z9n\n7dq1vPvuu2c6NCGEEGKQosnV4sWL8fl8eL3ecZ3AYDCwe/duotEoN998M6+99hoXX3zxsMfOhJVM\nJMbSmO4xTvf4QGIslekc4x9fOQbAisXVY4qzud7Dq+92oRmM0/r5jYWmabzwwgs89dRT/PGPfxzX\nPOCB/vmf/5nnn38eRVEoLy/nRz/6EfX19UOOe/HFF7n33nvRNI0NGzZwyy23TOi8QgghZreiyVU4\nHGb9+vV8+MMfxmKxAKOfczWQ2+1m9erVvPPOOyMmV9N9JZOZsNqKxDhx0z0+kBhLZbrHeKQ9DECl\n0zKmOG2m/NDtIycC1JUNv1hDqUxF8rZlyxaeeeYZFi9ezNVXX82Pf/xjbDbbhMr80pe+xDe+8Q0A\ntm/fzoMPPsgPf/jDQceoqsrdd9/Ntm3b8Hq9bNiwgbVr17Jw4cIJnVsIIcTsNap9ri6//PJB9412\nzlUgEMBkMuHxeEilUrzyyiuy0pIQQozS0Y4QJuPoF7PoV1VYjn12LGpRVlbGE088MWzP0ni5XK7C\n/xOJBBUVFUOO2bdvH83NzTQ2NgJw2WWXsWfPHkmuhBBCjKhocnXNNdeMu/Cenh6+/e1vo2kamqZx\n5ZVX8md/9mfjLk8IIc4WqqbR2hVlTrUTk3Fsi1IU9rqaJcux33rrrZNS7j/90z+xe/dubDYbjz/+\n+JC/+3y+QQmd1+tl3759kxKLEEKI2aFocnXs2DHuvPNOfD4fzz//PO+++y7PP/88X/va14oWfs45\n5/Df//3fJQlUCCHOJr5AkmxOo6nWVfzgD+jvuQrMkp6r8WppacHv9w+5f9OmTaxZs4ZNmzaxadMm\ntm7dypYtW9iyZcug48ayMu5As2We22STeipO6qg4qaPRkXqaOkWTq7vuuouvfvWr3H///QAsXbqU\nO+64Y1TJlRBCiPFp74kB0FjjHPNjrRYjLrsZfyRd6rBmlG3bto3quMsvv3zYhSq8Xi+dnZ2F211d\nXaNa3Gk6z+ObLqb7fMfpQOqoOKmj0ZF6Kq6UyWfRsSbRaJTVq1cXruAZjUbMZnPJAhBCCDHUSX8c\ngIZxJFcAVWU2esMpNF0vZVizxvHjxwv/37NnD8uWLRtyzIoVK2htbaW9vZ1MJsOzzz7L2rVrpzBK\nIYQQM03R5MpkMpHJZAq3fT4fRqNxUoMSQoizXWdvAoCGqvElV9VlNnKqRjSeKX7wNOf3+7n99tu5\n4YYbANi/fz87duyYUJn3338/69ev58orr+T111/n29/+NpD/jevvxTKZTGzevJmbb76Zyy67jM98\n5jOymIUQQojTKjos8POf/zxf+9rXCAaD/OQnP+Gpp55i06ZNUxGbEEKctTp7E9gsRirc41tKvX/e\nlT+cosw1ucuxT7bvfe97fOITn+DAgQMALFiwgDvuuIPPf/7z4y7zJz/5ybD3e71etm7dWri9evVq\nVq9ePe7zCCGEOLsU7bm6+uqr+fKXv8xll11GKpXixz/+MevXr5+K2IQQ4qyk6zrdoQQN1a5xL6pQ\nXXYquZrpuru7ueGGGwqjJiwWy7jrRQghhJhMRXuuAFauXMnKlSsnOxYhhBBAKJYhk9WoH+d8K4Dq\nMjsA/nCyVGGdMUajEX3A3LFIJDLhMv/5n/+Z559/HkVRKC8v50c/+tGw+2itWbMGp9OJ0WjEZDKx\nc+fOCZ9bCCHE7FU0ubr22muH3KcoivzATJJgKsT/du+jI5ZfoarR3cBHvBfitox9OWYhxMzUHeyb\nb1U9geSqfPbsdbVu3Tp+8IMfEIvF2LVrF//xH/8xoT0YAb70pS/xjW98A4Dt27fz4IMP8sMf/nDY\nY7dv3055efmEzieEEOLsUDS5+ta3vlX4fzqd5plnnqG2tnZSgzobqZrK08d+w54TL6LqauH+17r+\nxC+P/Ir1C/6CTzX9uQyFEeIs0BPKJ0Teyon0XNn6ypr5PVe33HILu3fvJhwOs3fvXm666SauvPLK\nCZXpcp26YJVIJKioqBjxWF1WXBRCCDFKRZOriy++eNDtP//zP5/QJGIxVFbL8e9vP8a7vfupslVy\n6dxPsqRiITrwXu8BfnV8D08efpoj4VZuWv45rEbLmQ5ZCDGJ+hOiukrHuMuwWUy4HWZ6ZkHPFcCV\nV1454YTqg/7pn/6J3bt3Y7PZePzxx4c9RlEUWlpaMBgMXH/99Vx33XUljUEIIcTsMqo5VwNFo9Fh\nd7wfTmdnJ9/61rcIBAIoisJ1113HTTfdNOYgZzNd1/mP93fybu9+lleew80rNmIznVrZy+uo4SLv\n+Tzyzn/wfz1vE/jfIF89728os3rOYNRCiMnUvwiFt8oBmjbucmrK7bR2RdE0HYNh5vV633fffUPu\nUxQFXddRFGXQyIrhtLS0DPt7tWnTJtasWcOmTZvYtGkTW7duZcuWLWzZsmXIsTt27KC2tpZAIEBL\nSwsLFiwoOge5lJtRzmZST8VJHRUndTQ6Uk9TZ0xzrnRdp62tjZaWltEVbjJx5513smzZMuLxONdc\ncw2XXHKJ7BMywCsnX+ePvv9lnqeZL3/oJizGoRs0eyxubrvgS+zYv4s/dL3BfX/8CS3n3sDiigVn\nIGIhxGTrDSdRFKgqsxMKxsddTk25naMnIwSjaar6hgnOJA6HozAU+oND80YzRHrbtm2jOs/ll19e\n2Nvqg/qHwVdWVrJu3Tr27dtXNLnq6YmO6rxns5oat9RTEVJHxUkdjY7UU3GlTD7HNOfKaDTS1NSE\n1+sdVeE1NTXU1NQA4HQ6WbhwId3d3ZJc9fEnA+w8/EvsJjs3r/jCsIlVP5PBxMZln6Xe5WX3ked4\n4M2HWdP856yf/xeYT/M4IcTM44+kKHdZMZuK7pZxWjXlp+ZdzcTk6mtf+9qklX38+HHmzZsHwJ49\ne1i2bNmQY5LJJKqq4nK5SCQSvPTSS9x2222TFpMQQoiZb8xzrsarvb2d999/n/POO68k5c10uq6z\nY/+TZNQMf738eiptI0+m7qcoCp9uXs2Csnk8+t5/sefEi+wPHOKWD/011fbKKYhaCDHZcqpGMJpm\n0ZyyCZdV07cce3coydK5xb9jpqtYLMa//Mu/8NprrwHwsY99jFtvvXXQohRjdf/993Ps2DEMBgPN\nzc3cddddAPh8PjZv3szWrVvx+/2FZEpVVdavX8+qVasm/HyEEELMXopeZBmkj33sY4Ux7kMerCi8\n+uqrRU8Sj8e58cYbufXWW/n0pz89/mhnkd8ffYWH/ridC+tX8O0/v3XMqwCmcmkee3Mnvzv6EuU2\nD//v2tupc9VMUrRCiKnSHUhw8w9/y+oLG7l940UTKuvtI37u/NeX+ezaxdz0meUlinDqff3rX8fl\ncrFhwwZ0XWfXrl1Eo1F+8pOfnOnQhiXDb4qTYUrFSR0VJ3U0OlJPxU3psMDrr7+ecDjM5z73OXRd\nZ+fOnXg8nmH3vxpONpvl61//OldccUXRxGq6v/ClenMGUyF+/uYT2IxWrpm/Hr8/Nq5yrp53BR5D\nObsOP80Pf/8g3/7I15lTV3XW1ONkme7xgcRYKtMxxoMnggA4rUZgYt+LFvIXxY53hCfteU7FJOlD\nhw7x3HPPFW5fdNFF/NVf/dWkn1cIIYQYq6ID+l988UV+8IMfsHTpUpYtW8bmzZvZu3cvjY2NNDY2\nnvaxuq7z3e9+l4ULF/I3f/M3pYp5RtN0jcfe+/9I5lJcveiyUQ0HPJ21zZ9gdePH8SW6efrob0oU\npRDiTAlE0gAlmSNV7s7P2+qe4Xtd9a/W1y8QCIx67m8xjzzyCEuXLiUUCg379xdffJG//Mu/5NJL\nL2Xr1q0lOacQQojZq2jPVSwWIxAIUFmZn9MTCASIx0e3etWf/vQnfvGLX3DOOedw1VVXAfDNb36T\nT3ziExMIeWb7xZFfcTB0hPOqz+WShtLMZ7tq4Wd417+fF9pf5urYOhSsxR8khJiWeiP5ZdirPBNP\nrgyKQm25ne5gsrB8+UxUXl7OFVdcwZo1a9B1nRdeeIGVK1dy3333jWpJ9pF0dnby8ssv09DQMOzf\nVVXl7rvvZtu2bXi9XjZs2MDatWtlUSYhhBAjKppc/fVf/zVXXnkln/rUp9B1nb179/KVr3xlVIWv\nXLmS/fv3TzjI2eLljtf47YkXqLFXceOy60rW0LEYLaxf8Bdse28Hu957jmvnX1WScoUQU68/uar0\nlOYiSW2FnQ5/nGgyi8cxMzcgX7RoEYsWLSrcvu666wbtdzVeW7Zs4Y477uDWW28d9u/79u2jubm5\nMErjsssuY8+ePZJcCSGEGFHR5OoLX/gCF110Ea+//jqKorBx40bOOeecqYhtVvm/nnfYcWAXTrOD\n/+f8L+Iw20ta/oe95/PMsd/yP62vc+mcT+O2jH8VLSHEmdMbLl3PFYC3wgFAdyA5Y5OryViS/Xe/\n+x11dXUsXbp0xGN8Ph/19fWF216vl3379pU8FiGEELNH0eQKoLGxkVwux4oVKwBm9PCSM+Fo+Djb\n3v1PzEYzf3v+zXgdpV/Vz6AYWN10CU8c3M2rJ//IpfM+VfJzCCEmX28khdNmwm4d1ddzUbWV+Qs5\nvmCCRY0TX979TEgmkzz99NOcOHGCXC4HMKrhgC0tLfj9/iH3f+Mb32Dr1q088sgjhftGWhF3PKZi\nkY/ZQOqpOKmj4qSORkfqaeoU/fXeu3cv3//+9zEYDPz+979n3759/Ou//iv/9m//NhXxzXihdJit\n+x5D0zW++qG/Ya6nadLOdXHdh9l95Fle7fwj6+Z+UhJgIWYYXdfpDaeoq3KUrMy6vp6rrkCiZGVO\ntdtuuw2j0ci5556L1Wod9QW+bdu2DXv/wYMHaW9v54orrgDyPVTXXnstTzzxBFVVVYXjvF4vnZ2d\nhdtdXV2jWkhjuq1AOR1Nx5U6pxupo+KkjkZH6qm4KV2K/YEHHuCJJ57glltuAeC8887jxIkTJQtg\nNtN1ne3vPU40G2PD4itYVrVkUs9nN9m5uPFC/qf1dY6Ej7OofP6knk8IUVqRRJZMTqO6rHTDhvsT\nta7emZtcdXV18cwzz5SsvCVLlvDKK68Ubq9Zs4Zdu3ZRXl4+6LgVK1bQ2tpKe3s7tbW1PPvss9x/\n//0li0MIIcTsU3QpdsgvgzuQ2WyelGBmm9e7/pf9wUOcW7WUTzZeMiXnXD3vYwD80ffmlJxPCFE6\n/r4l06tLsAx7vzKnBZvFOKN7rhYuXIjP55u08gf2gvl8vsLFRJPJxObNm7n55pu57LLL+MxnPiOL\nWQghhDitoj1XLpeLnp6ewu3XXnsNj8czqUHNBhk1w+4jz2I2mPnckqunbIjeubVLcFtcvOnbx2cX\nX4HJUJp5G0KIydcTzidXNeWl67lSFIW6SgftPTFUTcNoGNU1tWnlb//2b/nsZz/L8uXLsVjyi3Io\nisIDDzxQkvL37NlT+L/X6x20n9Xq1atZvXp1Sc5ztshpOboTfrJaFk3XMBnMzHHVYVBm3ntPCCHG\nqmjL++///u+55ZZb6OjoYOPGjRw/fpyHHnpoKmKb0fa2v0I4E+Uv5q6hyj6xjYLHwmgwclHt+bzQ\n/jL7A4dYUb1sys4thJiY7mA+uaqtKO1qovVVTo53RfGHUngrSzefa6p85zvf4dOf/jTLly/H0Jcc\nypzS6etw6BixTGzQfbqu0expPEMRCSHE1DltcqVpGlarlUcffZQ338wPM7vwwgul56qIjJplz4kX\nsRltfLp56q94rvRewAvtL/OG7y1JroSYQSYruWqozidUJ/3xGZlcZbNZvv/9709K2Y888gg//vGP\n+cMf/jBkzhXk52M5nU6MRiMmk4mdO3dOShyzycDEalHFAg4Hj9KT7KXGUQUoKICuy3YhYvpK5lKF\nHtgKWxmVtqEXyRPZZMm31RktTddQUAoXmTJqBlXXsJtGN6Q8monhTwZocNVhNc7MLTqms9MmVwaD\ngTvuuINf/vKXMixiDF7v+hPRbIxL537qjHzw5nmaqbJVsM//Dhk1g0U+OELMCL5AAqNBKdkeV/0a\nqp0AnOyNcyGl3wpisl1wwQXs37//tHtSjUdnZycvv/wyDQ0Npz1u+/btwyZeYqj26MnC/5s9TZRb\ny6i0VxBIBnnXv7/wt9aMnbmW+dhMpdksW4xNTsuh6TpGxYDRYDzT4Uwr3YkeTkTaC7eDqSCOaju2\nAYlLbzLIsfBxGt0N1DmLryBaSsfCJ+hN9uK0OFlWmV8o7Z3e/Wiayoe9549q+O2JaDvJbBKDolDv\nrMNsMI04GiCWjZNVs5RZPTK0d5SKDgucO3cubW1tNDWNfQnx73znO+zdu5eqqip++ctfjivAmUbX\ndV5ofzm/71Tjx89IDIqisNJ7Ib9ufZ63/e9xkfeCMxKHEGL0dF3nZG+C2go7JmNpf8Dm9CVXHf54\nScudKm+99Rb//d//zfz58wfNuZpoL9KWLVu44447uPXWW0973HB7YM0kWTVLOBPFZXZOajKj6Rpd\n8fzCI/WuOmod1QA0uhowGUyFeuxJ5Pce60720OxuHPT4I6FjZLUcdc7aYXsLxqo3GSCZS2E2mKh1\n1IxqOKmmawBT0pD0J3vxJXowKAbimThV9irmlzVPuNxwOkpbtB1V1yi3egrbwGS1HIFkgLZoBwCK\nYuBD1cvkIuwA8WxyyH0pNT0ouepJ5t/DXfHuKU2uUrk0vcleAOKZODkth1ExomkqkE+EPJb8kuKa\nrpHVcsP2TGXULJD/LPYk/HidtTS55xT+vj9wCLvJRoOzjv29B4H8xZL+z7Q4vaLJVSwW44orruCi\niy7C4cgPJxntROJrr72WG2+8kX/4h3+YeKQzxKHQUTrjPlZ6L6DceuY27FzpvYBftz7P611vSnIl\nxAwQjmdIpnMsn1v6OZrV5XYsJgMdPTMzufrud79b8jJ/97vfUVdXV7Q3TFEUWlpaMBgMXH/99Vx3\n3XUlj2UidF2nK9GNxWAZcX5va7SdUCqE0+xkaeXiMc1X03WdSCZGPJtvyDnMDkLpMPM8TYWEqTcV\nABSc5nwbwWy0UOc4tcqwxWgZlET1J1dGZXCPSSKbJJyO9B3Te9rkqjvhJ56NY1SMzHHVD9v7klWz\nHAu3DoqjwjZ8D6SqqfSmArgtbo6Gj5PTVM6vObdI7YxdMpdCQSkkud0JP8lsEvpek95kL83uORgN\nRk5GushkT9XrWPgS3aRyKRRFoSfhR1EUjIqRzlhX4RiryUo6lyaQCtIZ78ZkMLK88pzT9mTltNyI\nC2Vl1Cxt0Q4a3Q1jHmqWUTNEM3EqbGVnvHckraZBUVhRtYzOuI/eZG8hGYF8r1X/0FdFUYhkokTS\nUeqctZO2iJima4TTEXyJ/AJzJoOJnJZjn/+9QmIFkMgmCslVR6wTX7wbgI84VwD5lb5VTUXVcoPK\n98W7aXQ1oOoqqq4Ry8SIZWKFzypAWs1MynMrRtd1DoWOouka8zzNBNMhAOqHSWp7k0GC6RAGxUCl\nrRyr0YLZYEZB4WDoCHaTjXmeiV+8KGbEd8GPfvQjvv3tb3PFFVfwV3/1V4OWXx/tF/PKlStpb28v\nfuAs8j8drwLwiTlnpteqX4Orjib3HN4LHCCcjlJmlZ25hZjO2rvzP9ZzapwlL9ugKDRUO2nviZFT\ntZL3jE22iy++eFyPa2lpwe/3D7n/G9/4Blu3buWRRx4p3DdS79SOHTuora0lEAjQ0tLCggULWLly\n5WnPO9bNKHVdR9U1jIqh8PuayCZRNRW3dejcpIya5WTER07L0ZPoRVU00OGc6iaOBFoJpsJ4rC68\nzmrK7WW05wy4LXZAo0vr4Ly60c/FDSRDdHV35DduMUBSj4EFMtY49eWNhFIRepP5Bl9vBtweO3PL\n51BXNvIwyk+UreTNzndxuE3UVJ+qK1NSw53rH0qfI24KM7d8DoqikFNzJHIp3BYnb/v2EyHW31bE\n7NapcrgJJELktBy1rvzV9f09R3B77JTb3IRSUbBnB51P1/V8XUZ9qJpKkF6SWhSTHUwYiZlCqJrK\nwsq5JVlAJatmOdixHwWFRe55dMV6MNp1GsqrObdmCX9oz89td1dY0HWdA11tAKxq+MiYz9WRs2Cw\nO6l2VOKL+UmS/35xe05NVVhUOZfDgVY0awaHkq9MZ7lp2PccQFe0myOBfLL68aaLCovL9DsebCOX\nTtGtneTDdR8CIJ3L0JsIUOOswmwceRufd3wHCOkRPHYrXvfYeoJKufkrwPGMETsemuqr8aQsvO1L\n4PSYqanIn+fEyeOD6jGk9JI0pmjNxPlo4wVjSg6DyTBZLYfNaMFldQ55bEbNcrj3GBajhW6tB8UG\nbpud5bWLaQufJJVLk1VPJUphgqyoXoiiKPg0BbcxH2drqIOLGvKvSSwdx52yY1AMhV5agBPZ46Ry\naZrLGgY9v34up3nQ5wcgp+bQ0DEpxiHvh9HSdZ1DvcfIqBmW1ywZUk5GzaInsyhAa+YY9H0Uz62a\nP+hCwIlQB/6EDyygAj41CSpYjGZqndUYbBppElRXuyZ9QaQRk6s//OEPAFxzzTVcddVVPPXUU5Ma\nyGwQzcR4q+ddGpx1LCibe6bD4WP1K3ni4G5e7/oT6+Z+8kyHI4Q4jba+5KqxZnIm+jfWujjeFcUX\nSDBnks4xWSKRCP/+7//O/v37SaVSQP4i32OPPXbax23btm3Y+w8ePEh7eztXXHEFkN/b6tprr+WJ\nJ56gqqpq0LH9+zxWVlaybt069u3bVzS56umJFv6v6zqBVIgKWxkKCodDRymzeqh1nJr7tj9wiFgm\nhsviYmnlYjJqln097wCwuGIhZVbPoOSvI9ZZGH430P8dO0hXoht0HT9hjtJBlb2SYDpcuLodJUmZ\nVjXq+cCdcT/R6NBhUr5sCEe2jMOh40RT+b9bTVasRgt6wkxPJjrkMf3yy7MbOe7rIhCM0+DyYjfZ\n2dfzPpkBV8ffjxzFkLJgN9k5EDhMNBNlftk8OsL5ZK7KXklvMkAnQQLGOIeDRwEK8046/b2kcinm\nWubTEevlSKSdbJxC3bdG2gZdme+vn377I8cACIeSJVnpMJqJEenbbuFP4fcAMBiMVFBNMJCkTK+k\nPdrBi5E3cFqcGGwQjSQ52NZWaHRbjJZRLVoQCEXRdB23qhVevyb3HBxmB75EDxXWcqLhDNFIctBz\n7jQESdmGv9Dwvv84qVz+8/d/xw8OGkYG0B2OEE0miSopesz51/9Q8CjhdBiv00uTuwF/spfWSDvz\nPE04zA50XcNhdtDe04Oua7wVOUC73U8wHWJpxSIcZgfJXIpj4VYqbeVDhuDV1LgHfd4mKpAK4g+F\ncVvy5aqaRiya4lDsBCd7/DS5G+kJhLAarTjNDnqTgUH112HqHTR8cCSqpvJO7/tkB/SI1bvqmOOq\nH3Rc//yqD8rZDTQYm0jqKd4LHaDGXkV3X6/WSV8Ai9FCMBQnlsnHVlabfz6HQ8cIpfI9P/3D/N7o\nyif1/c/j3cgRABZXLCKtpkmraXzxbvRUiAr9VF0HUyGOhPKfEYPByIeql2P+QM9dVstxPNxKg6t+\nxB7YnkT+PQFgTNuotg/+Dk7mUkQjQ7+D2rt6cZjtaLqGruvs97eiajka3XMwGUwksgniuQS9mQi9\nwTQ6sggAACAASURBVEjhcf3180GlTNJlE6QS+kPnG6i6yiUNF0+LZYI/4r2Qpw4/w0sdf2Bt8yfO\neFe7EGJkx7ryP1rz6ianl7mpL6Fq647NuOTqzjvvZOHChRw7doy/+7u/48knn+Tcc8c/ZGvJkiW8\n8sorhdtr1qxh165dQxatSCaTqKqKy+UikUjw0ksvcdttt43pXF2JbjqiJ4llq/E6aginI4TTEWod\nNcSycUKpcGGIUTyb3+g5o51KMOLZBJqucTR8fMTetXJbOaFUqJBw1TpqUHWN3mQvvcnAkOMTucSg\n5ErTNfzJAJqu4jQ7cVtcJLIJfAl/oWE3x91Ax4DFKnqTgUFlL61cgssyul5Xg2Kg1llFMNRKMBXE\nZDAy19NUSKzml80jmUvSFfcRSkewm+xE+5K145EThXjcZhe9yQBtkfZBvSLJXAqn2ZHvETDZsJms\n1DlqORnrJJAK5etHU4ckVgN5nbXktBy9yQDdiZ5hkytN10hkk+jomAxG7KahCauu6yiKgq7rdMZP\nDcmzm+00OOsGDVOssJXTFc/3SMYzcdy2fHn9DVjIN2LPrz6XcCZCIBWi2d2IZZgeof65NrYBMVXb\nqzAajLgt+c9/LDt0mPDJeBfl1rJh2zAD2xC+eDc19qpCIpHMJU8lAbpOMpekJ9lLOB0GQNVzJHMp\nepK96LpGa7S9kPCfV7Ni0Hn6y4lmYjjMDiKZKIlsgkQ2gdVoHXFo50RpusbR0HEArKZ849toMFJh\nqyCQDBBOR1D1E+i6jv3/b+/co6Mq737/3be5zySZey5AbgSCgKJo+4oCchVDAqh0ad+6bNTSclQU\nfGV5KatraYtafa3r4FtLzltYWtdpl1g1Z721pz0QBam+3ooEJAoRyD2Te+Y+ey7P+WNmNjOZSTKQ\nSWYgz+cfhskze377t5+95/k9vxuvhFVtTri//KEAxjOtQiQEh98ZZ1gBYWNlpHGVzLACLkSQKXkF\nFpkXhK8NA/S4euEPBTDoCz9XuEihCjHoB2EIhn3D4FgeGkE9duoKw0AlKKWopwHvUEJYoD1yTyp4\nBbwBL3rcvZL8IRLCkG8YXa4eePxuDPvsyNdYka+2JKxFXYEL87Db1QN3wIMiTYE0LhAJYbSozShQ\nW9Hr6UO7oxNiSISCyHGi75SkS61MC6s6EpKs1MMb8KI1knvoEsPfc2rgNAwKPYo0+ZO2Vh/VuPL5\nfGhubgYhRHodS3l5edqFSbdrdzIYTUZCCD797AsInIB1829O+UdmMojKaIIWN826AR+c+xjtgVbJ\nJZwNZPu1znb5ACpjusgWGVtsDuRoZJhbHp90ny75FlSY8cdDZ9DvFLPmnFOlpaUFr776KhoaGlBd\nXY21a9finnvuSdvxY/Vts9mwa9cu1NXVoa+vTzKmgsEgqqurcdNNN13UsX1BHwCg3zuYkEPUam+H\nO2JQAeFeUCESkhYTQNhQCJIgCCFQC2qpCbRG0EAr04BjWBCE8yHy5DlQ8groZFpwLAeDMg+nB+J/\nu4GwwaYW1JIHxCE60WoPh6BxLI9F5gVoHjoX50UaL+/nYivjlupnQSFqcbz3JLwBX1x4Esey0Mo0\n6HbZ0OHoRI5MJ+UHERICy3LQybQQ2AtGRexCtcXeBpPSiGAoAHVErgKNFQPeQXginpdoQYJYcuQ6\naGVacAwXKRsPafHsEJ1QxRgqHMuh1dGOPveFxa9SUKI0ZxZkrEzKjen19EPGCpihLYTdF16MXm1e\nkLDDDwByToaKvHKc6v8m4W+F2gLYfQ44RAc8AS/aHJ3wB0XIORlmaAulnJxgxCsYCgXB8zw0ggoC\nJ4OSlyfkUim4xOImHr8HXS4b1IIKWplGCh3rdffFzVUA+GawGQsieUkjPamxlSGjeozVVWyekF20\ng8Rc/yjtzk7oFXlx+U520TFpxlV0bgCAir8w30tzZqFAbcXJvlPSRoiCl0PJKyXvaZQ2RweKdTPR\n6+lDniJXyn+Kcm64Ff3eARgUegDh+61Qk49We1vCQt8b8KUkd9QI4Rk+8jkv2iKeoGAoAI1MA4/f\ni2/sZ0AIQa4iZ9SiKRzLI19thoJXxM1RJa+A3WeXcu6GfMPhzQmGwUxdEU4PNMPm7kWB2hoOSXT3\nxm3GAECXsxssw0LGyuAOeKTG4r5A+DnDcwK8AS+8AS9UvApGZVhH0eehjBXAsRzkkXnrC/jg4+Rx\n9/7InDcFr0BFXtheiXraAkE/bC4bjMq8pBsi6WBM42rLli3S/2NfA0BDQ0PahUmna3cyGMv9/O1A\nM7qcPfie9Tp4hkPwIDPnMlLGfzF9Dx+c+xgHGt/HTKE4IzKNJN1u/HST7fIBVMZ0kS0y9g970Tvo\nwaLZRvT1XegRlE75tPLwD/A35wfSes5TYahFKwQKgoDBwUHk5uZicHAwbcc/dOiQ9NpisaCurg4A\nMGPGDNTX10/o2DI2LHsoFIQ7cCG0JboTP5JAKIhgzMLTEwiXSwaA0tziUQsFXGWYk/CeTqZFSU4x\nCEJQ8So4/U60OjqkCmEmlRGzdDPgjzHmgqEA/KFAnLFToMlPagwAwAxdESyqSyvvL3ACZJwM3qAX\nwZjvC5EQcuU50Mg0cIpOnLO3wBcIFxlYPKJAU3leKRScHDJOhhAJ4aueE3D73Wjxhz1c8hgDQskr\n4fUO4ovuY2AjhsZVxrmQsTLYRQe0Mk3C4syiNsPm6sG3A2fi3mcYVjL0TEojbC4bPH4P+jwDUAsq\ndDq7pLH+oCgt3Iu0haPqEohfHKoEBbxcAEalAflqCwRWgEN04JuB09IYm6sHHBNecJ4bPp9wLI7l\nRi3MwbN8uJAGISjOmQVCCFrsrZLs0WtrFx1SdUEAUAvqcIGToB/d7p6kIaojGaviZmekyAbPCQhE\nFspsxEA80d8UZ4ilanBcCtFjqwU1TCNC0+ScTLrmAGBWhvP6op4YBSdHm6MDbr9bMo6HfHbMM8yJ\nu95RT1T03/LcEmhlmohHexh20YEQCUEn08IduPB8YBgGOplWKviSjOjciS3iAgAWlQm9pBsuvwuI\nHCeWIm0BHKILGpkaRoU+aW6cgpfD7gtv4vAsj56I19egyINOppXmhMvvxrBox2Ak9HAkbr8HHd6w\n0aURVMhT5EIMiRA4AQuM8+ANeHFq4DTOD7dALSjR4eyWwhi5yPlFQ/p8QVGaO1HGurfyFLlYZF6I\nTpcNNpcNYtA/9cZVOoynHTt24LPPPsPQ0BCWLVuGbdu24Y477pjwcbORjzrDOWpLCi4t8XqyKNTk\nY76hEif7m9A0cFrqiUChULKHppawoTBnxuT1UlIrBBhzFGi1OaRQpcuFkpISDA4Oorq6GnfddRc0\nGs2EwgIzxZB3WHrd7w1f8xy5Tgq38Qa8sIv2OEMjupMLADxz8f2IYisIqgQlbO7esKESkWGGtlCq\nHBb1Dp3q/ybOeybn5JBzcmhlWoghEWalUQq5i+4uXyqKyI54vJcsnNhfnluCr3pOhKvpAUCSBXps\naBPLsNI5gGFQopsVV8wpds4LLA+NPFdaXI3mDbGoTGAZFmLQL+lk2DcsLbKjeUFWtRnHe07AG/BB\nxiYuTlsdYc/geFX0+BjvkkltwIyYTVGNkDwiptPZhbyIVzQaIgogabjgSGbnlsEhOpAnzwHHcuBZ\nDt6gDx2OTrTZ29HvGUjQzVz9bNjcvWh3dMRVHwTCBlnUa6JX5qE0p1jK6Ql/Nhw+Gs6zCRvAYlAE\nwzDIlesk79Y8/RycHT4vbUBEDUWn3wlCCAgI2p2dELSF8Abiy6QHQ0EwDBMXfkYIQYezCwInjLoZ\nECRhIy5ZyX6GYSDjBGluRQ0ZBa+QytyrBXW4f1TAA0II/EERjb0nMVdfMarnN2oo5Mi1GPYNS57m\nQm2B5JGZo58thXJ2OrtHzblLdr1VEQOm3FiIXkV4U21kWJ5VbYF1nGCr6Jz2h8IyOf0uKHgFSiL1\nBUwqA1zDLrQ5OsJGXEQ3lfoKiCE/vu5rAhDuGRZl0DeMHLkuUtBDDpZhoRJU0AoaOERHgvczWmEz\nqrNojln8mLGDMjmWk/TX4ewCAZmUyt6TmnP18ssvT+bhs4Yh3zCO955EoSY/KwpZjGR96Rqc7G9C\nffP7mHN9Oc29olCyjJPnIguKkoktVMdjllWLL7/txaDDB32aGxVPJi+99BKAcPW/BQsWwOFw4Oab\nb86wVMnpcw3A5fdDLagiVQAv7Lo7/Re8ktESyaU5xeBYDs1D5+ANeHF+uFUaY1aZpAUEwzBpafaq\n4lWScRUKBWEXHZJxZ1Qa0O8ZiMutyNdYkRtpHjpHn/50gOiOeHMkr8ikMkoGCM/yMKtN6HGFdcCm\ncP4yVgYfwgbOyNL0VpUZTtGJ0tziUQ2VhONxsoQ8GG/AB6ffCTknhypafp7lwbM8vEEviBg2ApWC\nUjIMo56b8Yyr2N/nGTkFcV5mBS+XGjIDQJ4iDyzDoN8zIC1ai3Uz0MkJ6HH1phQ+lyPXxhmg0c/0\nefrhC/jg9rsTeqMxDAO9Ig9dLhuCoQBy5DnwBr0oUOfDoMwDISHYRSdMysSeSPLIsUwqA7QyteRx\nZBlW8oZEz7VYNxM9nl4oODkMSgPaHB3wBXzodHVDYMPn6LE54bB7UKEvh06mhV104PTgd+AZDiaV\nESESAgMG/lBA8haZlIak66BQ5F7lRql6J+dk8AV8YGOqesaikakxL+JBjhqUhBD0efoh52QIJdkc\niBotIz0oUkgdw8SFoxZorEllA8Ke6iJtIXxBH4o0BRBDfmlDhmXYCa39+KhxFQzAH/QjFApCEeMB\ni8ofNazK80qhFTRhY4blsMB0FU70fh0+Z04GMShiwDMAQghCoSAE4YI5Up5bghN9pxAkISh4OTx+\nD3hOgJq/cK+ZVEa4Ax4pj2qOfjYElk+pmEg0HNbtd6N58GzKjZcvBlrQIg181PHfCJEQlhb+S1bu\nBs/QFuIG67X4rPufONLxCZYXLcm0SBQKJUIgGMKJswMw6ORSs9/JojhiXJ3rsl9WxlWU4eFhDA0N\noaioCDw/sZ+vPXv24MCBA9Drwwbtjh07sHTp0oRxR44cwe7duxEKhXDnnXcmhMiP5Ju+7+ByirjG\nNB/fDjRLiw0gMTRKwSskg2nkojtHrkOhJh8Mw8LmsqW0aEgFtaCM2z2OVtgDgByZFvlqC9ocnbC5\nbNDKtAmGRboxKgzhJPyIQSeM8ProZFr0uvvAMhwWGueNezyr2gwxJCbtkaUSlFiYht5VCl6etBkz\nz/LwBryS8VqWUwy76EBrxJNjUBokY2wsrjJWjrrYK80pRmlOMYZ8w1DxKoRIECzDIkhCUPNK8CyP\nmdoiFKqT9/5KFYNCL4UH2n0OMAyL+cZKyWMn4wRcbboKhJCE7wl7Qi5U9VPL1NIiONb7Gp3T0XON\n6lQn1wEIX69i4UJukFGpx4BnIMFbBoSNwU5nN7xBH0AIAiSQdBwQzjmUczLwLB+n56jHeGT/tSgq\nXgW7zyEt8sciX2OVvj8ahpuM6JpRLahgVpkghvxxOlULqpSvI8uwF4o5AFCmYTMmSvS+bLG3oiUi\nc2zOnlpQoVBbADEoQsHJE7xBsc+38twSqVhO9FnEx9z3HMtJ9ynLsPAFxQSDNuotDIaC8If8F/V8\n1MjUKMstwXfD5wFC4PS7EAwFYQKtFpg1+IIiPmr/BGpBhRus12ZanFHZVF6FE31NqP/ur7hKP1dK\n1qVQKJnl1PlBeHwB3LRg8ioXRSnODy9aznbZcd0c8zijM89jjz2GBx54AJWVlRgaGkJNTQ20Wi0G\nBgawffv2CTX0jTYHrq2tHXVMMBjEs88+i/3798NiseDOO+/EypUrUVZWNupnosUExKAYZ1jFUp5X\nCp7h48J4CtRWBEkQfe5+5Mh1mJ0X/o5CjVVqhpkOTEojGIaFVtCgeehsXDheNKdhhrYAZpVxzPyF\ndKESlCjPK8WAdxC+oAjdiJ6MufIcLDIvBAMmpfsjR67DAvn4RthkMDJfS2AFGJUG8CyPXHnqzXFT\nKbV+YfEqSAvNWCbq5eRiZA2EAlAKqoQ5GK1QNx6V+gp4Az4ESXDMa5grz8HsvLJRvYpaQSNVXhxJ\n1Js3EhknQ3HOTLAMi37PAHrdfVL+XLSpdr93EHnyHMnLzI1ynYq0BTCleF8UavJRoLbiS9tXABCp\nWqkAAwZBEpCKm0RhGTYt5f4nC5WglLyMcl4OFmzCBkaypr6xzNAWwi46oOSVKMmZCYKQdN1GblbE\n3itjPfs4lrukuZ6nyEVRsADtjg4pFLNiRuJ9dKlQ42qCfNTxCVwBN9YVr0paNz9b0Mm0+EHFBrx+\n6k/Y//X/xvbrtk7JDyeFQhmb//46vLt5feXkGzslVh0YAGc7Rk+KziZOnTqFyspww9v6+nqUl5dj\n37596O7uxpYtWyZkXAFjJ9kDQGNjI2bOnImiovCip6qqCocOHRrTuCrQWjA45ETnGEn+akGd8Pzl\nWA7FupmwqixxRhfLsONW6rsYOJaTck7KckvQ1P8tgPhwPGD88LV0kivPGTPv4XIJZY/1eJREwj0B\nJPWiZTs6uQ6IFLHIVeTCMMFzSObpS0ZOxGuVjHDeUzg0Ty1TY05eOQQNwaf2xugAXGteGC6KEJnX\nFXnlF3J1IsVlgiQEh+iEK+BGj7sXbY4ODClypevHjpHbeDH3BcMwmKOfDV9QjMtNHPY5YPc5kD9G\niF+2IbD8hL2+FrUZlhjP2iztDBiVBjBg0vqMS5XJXAPT1fUE8AQ8+H8tH0LBKXDLjIsrz5sJrrcs\nwjcDZ/Bp95c4cLoeP5x7ZRYXoVAuF1xeP7483QtLnhJlBaMvKtKFSsGjwKTGuS47AsEQeC67F61y\n+YUF2ZdffomVK1cCAKxWK9hR8iIuhjfffBPvvfce5s+fjyeeeAI6Xfw1sNlsyM+/EBZnsVjQ2Ng4\n5jGjbTgGRvS/makrksLDRtsZB1JfhKYDtaBCSc4sqAX1lH7vlUq0GAUbKYN/OaPkFbjGvAAcw2VV\nuoNJaUC/dxAmpREsw0Kv0kpFTOScTCqKEO2dFbtRIeMuePnO21vR5+6XqiAOeYekfLB05DZG0co0\nCcFmOXIt5hsr0xbqe7nCRVoqZPL7JwtqXE2A/zr7dzj9LlSX3poRq/tiYRgGd83ZhA5nF/7R+SmK\nNPlYWnRjpsWiUKYtH5/shj8QwtKrC6ZsAVMxIxcdvS6c73KgvCj9VZLSCcMwsNlsyMnJwWeffYaH\nH35Y+pvX6x3jk2Fqa2vR15eY6/Doo4/i7rvvxoMPPggAeOWVV/D8889j9+7dCd9/sehVucjL1SAQ\nKR9t1ZhgVOVBxskwiHBCvcWcPXpPZ57BRX/3ZdZvbTyGWQ1EwQOdXJO2c7vSdDRRkuljUfFcdDt7\nYFDpYVKnpi+/3ADfYGIrBA2ng9WcegjnpTP115XOpXgUPga2YLgQh0pIr6FLjatLpKn/ND5s/wfM\nSiNWzkxMgs5WZJwMWxbci19/8T9x4Mz/gVllwlz97EyLRaFMOwgh+PBYBziWwZIFk1s0IJZ5s/Lw\nwT87cPJcf9YbV1u2bMHGjRvB8zyuu+46zJ4dflYdO3YMhYWF435+//79KX3P5s2bsXXr1oT3LRYL\nurou9Cvq7u6GxTJ2XgEAhDwcHD4nGIaFRpELv5OFHwEYGBMEVsiK3mqZJlt6zKUTwa+C4FdAK+Sl\n5dyuRB2lG5NJi4CThRFWwA30ulPTF0eUsHD5UAtqiEER3oAPakEFgeXR35c8V/Jyhs6lRLwBLxz2\nSJsHWXrNoeyOCclSzgyexX+e/AM4hsOPr7r7sstdMijzsGXBvWDB4D9P/iGlBoAUCiW9NLUMoqvf\njesrzdCppy6/ZV6xHjzH4J+nk1evyibWrVuH+vp67N27F6+++qr0fkFBAZ599tkJHbunp0d6ffDg\nQVRUJPYAnD9/PlpaWtDe3g5RFPH+++9LoYljUaCxwqQyojRnVlzoiVFpGDOnhHJ5oxKUKM1Jvcw7\nJXOwDItceQ4ElodaUMGgzIOCl09qqBglu+Bi1u6p9IS7GC4vqyBDOP0u9Hn68Y3LhU/OH8OXtuPh\nSlNX/TBplZ7LgbLcYvxr5Wa8fupP+I/j+/Bv1z1If/QplCnk4Bfh/JuV105thSilnMeCUgOOnenD\nd53DKCvIbu+V2WyG2Rxf7CMV79F4vPTSS2hqagLDMCgqKsIzzzwDIJxntWvXLtTV1YHneezatQv3\n33+/VIp9rGIWUdSC6rIIFadQKJTpSmxbgJEtICZ87LQe7Qpi2OfAkfZ/4Iue4+iLNJ6Lkq+24K45\nt6M8tyRD0qWHG6zXot8ziP869zfs+ep/YduiLRlNLqRQpgu2ATeON/ehJF+HssKpN25WLZ6BY2f6\n8KdDZ7Dz7msh8NMviOHXv/510vctFgvq6uqk/y9btgzLli2bKrEoFAqFMgUwDCM15R7ZxHmiUONq\nBIFQAIdaj+D/tjRADIqQczLMM8yBVWXGLGM+DKwZs3RFl01p2PG4tXgFXAEXPmg7in//4j/wwIJ7\nMEM7fi4DhUK5dP76aSsIgLU3ZMbzXTkrDzdUmvFZUw9+89ZX+B+bFkCjTO/OHYVCoVAo2Uyxbiby\n1daUestdDJNqXF1sZ/tMc3qwGW+drkeXywatoMGmstvw/fzrpVjMKzEhkGEY3FFeDSWnwPvnD+LX\nX+zB96zX4QbrtSjRzYSQ5jhUCmW60z3gxj9OdMGiV2FxBhv53ndbJYJBgi9P9+LFPx7Dzh8uglox\nfe73PXv24MCBA9Drw/1nduzYgaVLE4sTrVixAmq1GhzHged5vP3221MtKoVCoVAmAZZh025YAZNo\nXF1KZ/tM4A/60TRwGofbP8Y3g2fAgMFNBd/DhrLboBLS6ybMVhiGQVXpGpTmFOOtM+/hk67P8UnX\n52AZFgVqK9bMWo7rLNdkWkwK5Yqg/ug5BEMEdy4rBctmrn+MTOCwddN8vPm3b/HhV51476Nz+NfV\niUUdrlQYhkFtbS1qa2vHHfuHP/wBubm5UyAVhUKhUC53Js24upTO9unG7Xfj467PIQZFAAADBkES\nghgS4RRd6HH3od3ZAX8oACDcyXtj2brLtkjFRKk0VGCX/t/w7UAzTvY34by9DR3OLnw33EKNKwol\nTVxTbkSBUY1rK0yZFgUsw+BHa+cg36DOSO5XpiGEpHUchUKhUCiTZlxdSmf7dPN1/7d4t/kvo/6d\nZVjkqy2Yq5+N6y2LaK4RwjqpNFSg0hDewSaEZFV3dgrlcud78yZe6S6dsAyD1ddPzw2lN998E++9\n9x7mz5+PJ554AjpdYsXUqIeLZVncdddd+MEPfpABSSkUCoVyucCQSdqS+9vf/oaPPvoIv/zlLwEA\n9fX1aGxsxK5duybj6ygUCoVCiaO2thZ9fYn9vB599FFcc801Ur7VK6+8gt7eXuzevTthbE9PD8xm\nMwYGBlBbW4tdu3Zh8eLFky47hUKhUC5PJs1zdamd7SkUCoVCSQf79+9PadzmzZuxdevWpH+L9tjS\n6/VYvXo1GhsbqXFFoVAolFGZtHril9rZnkKhUCiUyaanp0d6ffDgQVRUJBbz8Hg8cDqdAAC3242j\nR48mHUehUCgUSpRJ81xdamd7CoVCoVAmm5deeglNTU1gGAZFRUV45plnAITzhXft2oW6ujr09fXh\noYceAhCugFtdXY2bbropk2JTKBQKJcuZtJwrCoVCoVAoFAqFQplOTFpYIIVCoVAoFAqFQqFMJ6hx\nRaFQKBQKhUKhUChpgBpXFAqFQqFQKBQKhZIGMmZc7dmzB0uXLsXGjRuxceNGHDlyJOm4FStWoLq6\nGhs3bsSdd96ZlTIeOXIEt956K9asWYO6uroplTHKvn37MHfuXAwNDSX9eyb1CIwvXyZ1+Morr6Cm\npgYbNmzAvffeG9dCIJZM6jBVGTOpxxdeeAHr1q1DTU0NHnroITgcjqTjMqXHVOXLpA7/+te/oqqq\nCpWVlfj6669HHZfJuZiqjNnwXJxqpuM5J6Orqwv33HMPqqqqsH79erzxxhsAgKGhIdTW1mLt2rW4\n7777YLfbpc/s3bsXa9aswa233oqjR49mSvQpJxgMYuPGjfjZz34GgOooGXa7Hdu2bcO6detw2223\n4fjx41RPI9i7dy+qqqpQXV2Nxx57DKIoTnsdPfnkk7jxxhtRXV0tvXcpOjl58iSqq6uxZs0aqXfv\nuJAMsWfPHrJv375xx91yyy1kcHBwCiRKJBUZA4EAWbVqFWlrayOiKJKamhrS3Nw8RRKG6ezsJPfd\nd9+YusqkHseTL9M6dDgc0us33niDPPXUU0nHZVKHqciYaT0ePXqUBINBQgghL774InnxxReTjsuU\nHlORL9M6bG5uJmfPniU/+tGPyMmTJ0cdl8m5mIqMmdZjJpiO5zwaPT095NSpU4QQQpxOJ1mzZg1p\nbm4mL7zwAqmrqyOEELJ3717pHjxz5gypqakhoiiStrY2smrVKulevdLZt28f2bFjB/npT39KCCFU\nR0nYuXMnOXDgACGEEL/fT+x2O9VTDG1tbWTFihXE5/MRQgh55JFHyDvvvDPtdfT555+Tr7/+mqxf\nv15672J0EgqFCCGE3HHHHeT48eOEEEIeeOABcvjw4XG/O6NhgSTFQoWpjpsMxvvuxsZGzJw5E0VF\nRRAEAVVVVTh06NAUSRfmueeew+OPPz7uuEzpcTz5Mq1DjUYjvXa73cjLyxt1bKZ0mIqMmdbjkiVL\nwLLhR8rVV1+N7u7uUcdmQo+pyJdpHZaVlaGkpCSlsZmai6nImGk9ZoLpeM6jYTKZUFlZCQBQq9Uo\nKyuDzWZDQ0MDNm3aBADYtGkTDh48CAA4dOgQqqqqIAgCioqKMHPmTDQ2NmZM/qmiu7sbhw8fxubN\nm6X3qI7icTgc+OKLLyQPPc/z0Gq1VE8xaDQa8DwPj8eDQCAAr9cLs9k87XW0ePFi6HS6uPcueM6y\n+wAABi1JREFURifHjx9HT08PXC4XFi5cCADYuHGj9JmxyKhx9eabb6KmpgZPPfVUnGsuFoZhUFtb\ni9tvvx1vvfXWFEs4vow2mw35+fnS/y0WC2w225TJd/DgQVitVsydO3fMcZnSYyryZVqHAPCb3/wG\ny5cvx7vvvostW7YkHZPpuTiejNmgxyh//vOfsWzZsqR/y7QegdHlyyYdjkU26HAsLhc9ppPpeM6p\n0N7ejqamJixcuBD9/f0wGo0AAKPRiP7+fgDhhs5Wq1X6jNVqnRa62717N3bu3Clt+gCgOhpBe3s7\n9Ho9nnzySWzatAk///nP4Xa7qZ5iyM3NxX333Yfly5fj5ptvhlarxZIlS6iOknCxOhn5vsViiWtA\nPxqT1kQYAGpra9HX15fw/qOPPoq7774bDz74IIBwPsnzzz+P3bt3J4z94x//CLPZjIGBAdTW1qK0\ntBSLFy/OGhkZhkmbLJciY11dHfbt2ye9N9pu9mTqcaLyZVKH27dvx4oVK7B9+3Zs374ddXV1eO65\n5/Dcc88ljM3UXExVxmzQIwC89tprEAQhLs45lkzMxVTlyxYdjkem5+J4TIUes43peM7j4XK5sG3b\nNjz99NNx3ncgrK+xdHal6/ODDz6AwWDAvHnz8OmnnyYdM911BACBQACnTp3Crl27sHDhQvzqV79K\nyGec7npqbW3F66+/joaGBmi1WjzyyCOor6+PGzPddZSM8XQyESbVuNq/f39K4zZv3oytW7cm/ZvZ\nbAYA6PV6rF69Go2NjWldRExURovFEldcoLu7GxaLJW3yAaPLePr0abS3t6OmpgZAeOf0jjvuwIED\nB2AwGOLGTqYeJypfJnU4kvXr14/qucqWuTiajNmgx3feeQeHDx/G66+/PuqYTMzFVOXLBh2mQrbM\nxdGYCj1mG9PxnMfC7/dj27ZtqKmpwapVqwAABoMBvb29MJlM6OnpgV6vBxDWXWyY7nTQ3bFjx9DQ\n0IDDhw9DFEU4nU48/vjjVEcjsFqtsFgsUljW2rVrUVdXB6PRSPUU4eTJk1i0aJGULrB69Wp89dVX\nVEdJuJj7Kzr3Rr4f/f0di4yFBca61Q4ePIiKioqEMR6PB06nE0A4z+To0aNJx2VSxvnz56OlpQXt\n7e0QRRHvv/8+Vq5cOSXyVVRU4OOPP0ZDQwMaGhpgsVjwzjvvJBhWmdJjqvJlUocAcP78een1oUOH\npFyBWDI9F1ORMdN6PHLkCH7/+9/jt7/9LeRyedIxmdRjKvJlWoexjOaFzvRcjGU0GbNJj1PFdDzn\n0SCE4Omnn0ZZWRl+/OMfS++vWLEC7777LgDgvffek4yuFStW4C9/+QtEUURbWxtaWlqkxfSVyo4d\nO3D48GE0NDTg5Zdfxve//328+OKLVEcjMJlMyM/Px7lz5wAAn3zyCcrLy3HLLbdQPUUoLS3F8ePH\n4fV6QQihOhqDi72/TCYTNBoNjh8/DkII6uvrpc+MycTrcVwajz/+OFm/fj2prq4mW7duJb29vYQQ\nQrq7u8lPfvITQgghra2tpKamhtTU1JCqqiryu9/9LutkJISQDz/8kKxZs4asWrVqymWMZcWKFVIF\nsWzS43jyEZJZHT788MNk/fr1pKamhjz00EOkr68vQcZM6zAVGQnJrB5Xr15Nli9fTjZs2EA2bNhA\nfvGLXyTImEk9piIfIZnV4d///neydOlSsmDBAnLjjTeS+++/P0HGTM/FVGQkJHuei1PJdDznZHz+\n+edkzpw5pKamRrrfDh8+TAYHB8m9995L1qxZQ2pra8nw8LD0mddee42sWrWKrF27lhw5ciSD0k89\nn376qVQtkOookaamJnL77beT6upq8uCDDxK73U71NIK6ujpy2223kfXr15OdO3cSURSnvY62b99O\nlixZQq666iqydOlS8vbbb1+STk6cOEHWr19PVq1aRZ599tmUvpshJIOl+CgUCoVCoVAoFArlCiGj\n1QIpFAqFQqFQKBQK5UqBGlcUCoVCoVAoFAqFkgaocUWhUCgUCoVCoVAoaYAaVxQKhUKhUCgUCoWS\nBqhxRaFQKBQKhUKhUChpgBpXFAqFQqFQKBQKhZIGqHFFoVAoFAqFQqFQKGng/wOVltwQk7JvPAAA\nAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(trace, vars=['mu']);" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.40252803, -4.66313553])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trace['mu'].mean(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.41866859, -4.8018335 ])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mu_actual" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The estimates of the standard deviations are certainly biased." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAACJCAYAAADAHsIyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIBAIBIIRQChXAoFAIBAIBAKBQDAC/H+4YiqGk5Ff/wAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(trace, vars=['sigma']);" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.76300764, 1.50286487])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trace['sigma'].mean(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.3522422 , 1.58192855])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sqrt(var)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, the 95% posterior credible region is visually quite close to the true credible region, so we can be fairly satisfied with our model." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "post_cov = trace['cov'].mean(axis=0)\n", + "\n", + "post_sigma, post_U = np.linalg.eig(post_cov)\n", + "post_angle = 180. / np.pi * np.arccos(np.abs(post_U[0, 0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFzCAYAAAAE+sEBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKDOSnIUQQogy8/8Br8IpOTVAKosAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "blue = sns.color_palette()[0]\n", + "\n", + "e = Ellipse(mu_actual, 2 * np.sqrt(5.991 * post_sigma[0]), 2 * np.sqrt(5.991 * post_sigma[1]), angle=-post_angle)\n", + "e.set_alpha(0.5)\n", + "e.set_facecolor(blue)\n", + "e.set_zorder(9);\n", + "ax.add_artist(e);\n", + "\n", + "e = Ellipse(mu_actual, 2 * np.sqrt(5.991 * var[0]), 2 * np.sqrt(5.991 * var[1]), angle=-angle)\n", + "e.set_alpha(0.5)\n", + "e.set_facecolor('gray')\n", + "e.set_zorder(10);\n", + "ax.add_artist(e);\n", + "\n", + "ax.scatter(x[:, 0], x[:, 1], c='k', alpha=0.5, zorder=11);\n", + "\n", + "rect = plt.Rectangle((0, 0), 1, 1, fc='gray', alpha=0.5)\n", + "post_rect = plt.Rectangle((0, 0), 1, 1, fc=blue, alpha=0.5)\n", + "ax.legend([rect, post_rect],\n", + " ['95% true credible region',\n", + " '95% posterior credible region'],\n", + " loc=2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again, this model is quite simple, but will be an important component of more complex models that I will blog about in the future.\n", + "\n", + "This post is available as an [IPython](http://ipython.org/) notebook [here](https://gist.github.com/AustinRochford/fa24221f09df20071c06)." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['T',\n", + " '__abs__',\n", + " '__add__',\n", + " '__and__',\n", + " '__array_priority__',\n", + " '__bool__',\n", + " '__class__',\n", + " '__count__',\n", + " '__delattr__',\n", + " '__dict__',\n", + " '__div__',\n", + " '__divmod__',\n", + " '__doc__',\n", + " '__dot__',\n", + " '__floordiv__',\n", + " '__format__',\n", + " '__ge__',\n", + " '__getattribute__',\n", + " '__getitem__',\n", + " '__getstate__',\n", + " '__gt__',\n", + " '__hash__',\n", + " '__init__',\n", + " '__invert__',\n", + " '__iter__',\n", + " '__le__',\n", + " '__lt__',\n", + " '__mod__',\n", + " '__module__',\n", + " '__mul__',\n", + " '__ne__',\n", + " '__neg__',\n", + " '__new__',\n", + " '__nonzero__',\n", + " '__or__',\n", + " '__pow__',\n", + " '__radd__',\n", + " '__rand__',\n", + " '__rdiv__',\n", + " '__rdivmod__',\n", + " '__rdot__',\n", + " '__reduce__',\n", + " '__reduce_ex__',\n", + " '__repr__',\n", + " '__rfloordiv__',\n", + " '__rmod__',\n", + " '__rmul__',\n", + " '__ror__',\n", + " '__rpow__',\n", + " '__rsub__',\n", + " '__rtruediv__',\n", + " '__rxor__',\n", + " '__setattr__',\n", + " '__sizeof__',\n", + " '__slots__',\n", + " '__str__',\n", + " '__sub__',\n", + " '__subclasshook__',\n", + " '__truediv__',\n", + " '__weakref__',\n", + " '__xor__',\n", + " '_is_nonzero',\n", + " 'all',\n", + " 'any',\n", + " 'arccos',\n", + " 'arccosh',\n", + " 'arcsin',\n", + " 'arcsinh',\n", + " 'arctan',\n", + " 'arctanh',\n", + " 'argmax',\n", + " 'argmin',\n", + " 'argsort',\n", + " 'astype',\n", + " 'auto_name',\n", + " 'broadcastable',\n", + " 'ceil',\n", + " 'choose',\n", + " 'clip',\n", + " 'clone',\n", + " 'compress',\n", + " 'conj',\n", + " 'conjugate',\n", + " 'copy',\n", + " 'cos',\n", + " 'cosh',\n", + " 'cumprod',\n", + " 'cumsum',\n", + " 'd2logp',\n", + " 'deg2rad',\n", + " 'diagonal',\n", + " 'dimshuffle',\n", + " 'distribution',\n", + " 'dlogp',\n", + " 'dot',\n", + " 'dtype',\n", + " 'eval',\n", + " 'exp',\n", + " 'exp2',\n", + " 'expm1',\n", + " 'fastd2logp',\n", + " 'fastdlogp',\n", + " 'fastlogp',\n", + " 'fill',\n", + " 'flatten',\n", + " 'floor',\n", + " 'get_parents',\n", + " 'get_scalar_constant_value',\n", + " 'imag',\n", + " 'index',\n", + " 'log',\n", + " 'log10',\n", + " 'log1p',\n", + " 'log2',\n", + " 'logp',\n", + " 'logp_elemwise',\n", + " 'logp_elemwiset',\n", + " 'logpt',\n", + " 'max',\n", + " 'mean',\n", + " 'min',\n", + " 'missing_values',\n", + " 'model',\n", + " 'name',\n", + " 'ndim',\n", + " 'nonzero',\n", + " 'nonzero_values',\n", + " 'norm',\n", + " 'owner',\n", + " 'prod',\n", + " 'ptp',\n", + " 'rad2deg',\n", + " 'ravel',\n", + " 'real',\n", + " 'repeat',\n", + " 'reshape',\n", + " 'round',\n", + " 'shape',\n", + " 'sin',\n", + " 'sinh',\n", + " 'size',\n", + " 'sort',\n", + " 'sqrt',\n", + " 'squeeze',\n", + " 'std',\n", + " 'sum',\n", + " 'swapaxes',\n", + " 'tag',\n", + " 'take',\n", + " 'tan',\n", + " 'tanh',\n", + " 'trace',\n", + " 'transpose',\n", + " 'trunc',\n", + " 'type',\n", + " 'var',\n", + " 'zeros_like']" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dir(x_)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "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": "2.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} From 43c0d7b292b1220cf86aec2df021a4fe91e11b88 Mon Sep 17 00:00:00 2001 From: AustinRochford Date: Tue, 27 Sep 2016 20:21:58 -0400 Subject: [PATCH 2/3] Change LKJ example to use cov instead of tau --- docs/source/notebooks/LKJ.ipynb | 264 +++++--------------------------- 1 file changed, 38 insertions(+), 226 deletions(-) diff --git a/docs/source/notebooks/LKJ.ipynb b/docs/source/notebooks/LKJ.ipynb index 00594acbb7..f30cafd8a3 100644 --- a/docs/source/notebooks/LKJ.ipynb +++ b/docs/source/notebooks/LKJ.ipynb @@ -25,7 +25,7 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ @@ -38,15 +38,7 @@ "metadata": { "collapsed": false }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Couldn't import dot_parser, loading of dot files will not be possible.\n" - ] - } - ], + "outputs": [], "source": [ "from matplotlib.patches import Ellipse\n", "from matplotlib import pyplot as plt\n", @@ -107,9 +99,9 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFzCAYAAAAE+sEBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niEhmGM5EREQyw3AmIiKSmf8P1mRTInjtNNsAAAAASUVORK5CYII=\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFzCAYAAADxBEqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xd4m+XdN/yvZEmWLFvyjO1MJyGLkD0ITuIkzqI3GcBd\nxkPfQsNsuaHF3L1pSwct8NKyyksXD9wUbmh5CJAmhZYHShJCnD3J3sOOk9iO7Vjb2uf7h2PHTjxk\n65Ku65K+n+PgOGIj6fqdkqWfzvU7NUIIASIiIlIkrdwBEBERUeeYqImIiBSMiZqIiEjBmKiJiIgU\njImaiIhIwZioiYiIFCyqRP35559j0aJFGDVqFA4ePChVTERERHRJVIl6+PDh+MMf/oApU6ZIFQ8R\nERG1oYvmzkOGDAEAsGYKERFRbHCOmoiISMG67VEvW7YM9fX1V/2+rKwMpaWlMQmKiIiImnWbqN9+\n+23JLyqEgEajkfxxiYiIEk1Uc9Rt9WSeWqPRoK7OKdWlZZOXl6H6diRCG4DEaEcitAFgO5QkEdoA\nJEY78vIyen3fqOao16xZg1mzZmHv3r347ne/i/vvvz+ahyMiIqIrRNWjnjdvHubNmydVLERERHQF\nrvomIiJSMCZqIiIiBWOiJiIiUjAmaiIiIgVjoiYiIlIwRSbqcDiMixcbJP0vHA53e90PP3wfd999\nB+6++w58+OH7rb9/6603cMst/4Z77/0W7r33W9i6dTMAYPfu3bjnnv+FBx64B+fOnQUAuFwuPP74\no11ew+fzRfkMxcdtty2Bw2EHAHzve/cBAL7+eheeeKKs29vHQ319PX7+8x/H7XpERHKQrOCJlGy2\nRpSXr0N6erokj+dyuVBSMgfZ2Tmd3ubUqZP49NOP8eabf0FKSgr+8z8fxfTpM9GvX38AwB133IU7\n7/x/2t3n7bffxssv/x7V1eewatUKPPLIY/if/3kT99xzb6fX+eij93Hjjf+G1NTUq/5fOByGVhvb\n706hUAgpKSkR3vpy9bjXXvvz5d92WlSu99XmetP23NxcPPPMb3p9TaJE5vV6cfasHceOVcDv9yMY\nDEAI0a44Vcu/NRoNUlJ00Ol00OlSkJaWjoKCQpjNZlaRVABFJmoASE9Ph8Viidv1KitP49prx8Bg\nMAAAxo+fiPXr1+Guu74NAOio8Jper0dTkwdebxP0ej3OnTuL+vo6jBs3ocNrrFixHPX1dXj00e8i\nMzMTr776GubPL8HSpbdi167tKCt7As888wv8+c9/gcVixZEjh/HHP/5/+P3vX4fX68Urr7yAU6dO\nIhQK4d57H8SMGSVXXeO9997BF198Bq1Wi2nTpuOhh/4Djz76EIYNG459+/Zi/vyFWLjwJrz00nOo\nra2FXp+C733vBxgzZhwcDjt++cufor6+DqNHjwFwudHz55dg9epyAIDb7cYTTzyGs2erMHHiFPzw\nhy292su3/+KLz/DRR8sRCgVx7bXX4T//88dXveFvu20JSkvnY+fO7bjrrrsxcuQo/Pa3L8But8Fo\nNOKJJ36KgQMH4dy5s3j66Z/D6/VixowSfPjh+1i9uhw1NdV44onH8O67H8Dv9+O5536Fo0cPIyVF\nh0ceeQwTJ07GZ5/9Exs3rofX68P582cxc+ZsPPzw9yP9syBSNJfLhQsXauB0OuH3++H3++Dz+eD3\n+yAEkJNjgRAp0Gg00Ghw6T3YWeINIxj0IxgEnE47Tp06jnA4jLS0NJhMZgwcOAh9+uQzcctAsYk6\n3oYMuQb//d+vweFwwGAwYOvWzRg58trW/79y5Uf417/+L0aOHIVHHilDeno6HnzwQTz55M9gNBrx\n858/jd///hU8+ODDnV7jm9+8Ex988D5+//vXW7+EeL1NuO66MXjkkccu3ar9m6DlTfHOO3/GpElT\n8ZOf/AIulwsPPHA3pkyZitRUY+ttt27djI0by/Hf//0uDAYDnM7LJfeCwSDefPNdAMCvfvUz3HHH\ntzBmzDgEgy585zvL8Ne/foS33vpvjB07Ht/5zv3YsmUjPv30k6viAIDDhw/ivfdWID+/AI8//gjW\nr/8Ss2ZdPqClsrICa9d+gf/9v99CSkoKXn75eXzxxWdYuPDfrnpOrNZM/PnPfwEA/OAHD+OJJ55E\nv379cejQAbz88m/w6quv4dVXX8btt9+FuXPn4+9//1u7WFr+/d5770Gj0eCdd5bjzJkKlJU9guXL\nVwEATpw4jrff/j/Q6XS4665/x2233Ym8vD6dvk5ESiSEwMWLF3H27Bm43S643S6Ew2GYzebWDoZe\nr4NerwNgBgCYzalwu3s+1abXG5CZaWhz7RAOHtyHvXuDsFisGDZsJHJyOh+hJGkxUV8yaFARvvWt\ne/DYYw8jLS0N11wzvHWI+JZbbsOyZQ9Ao9HgjTf+hN///rf4yU9+gZEjR+L115sPLdm792vk5fVB\nOBzGU0/9BDqdHo88UoasrKwrriTQtueZkpLSLsm1/X9t7dixDZs3b8D77zcn22AwiNraGgwcWNR6\nm507t+Ommxa3vmkzMi7Xlp07d0G721VWnoYQAjpdCjweDzweD/bu3Y3nnnsJAHDDDTPa3b+tUaNG\no6CgEAAwb95C7Nu3p10bdu7cjmPHjuKBB+6GEAJ+vx/Z2dkdPtbcufMBAE1NTThwYC9+/vMftQ7H\nBYNBAMDBg/vwm9+8DABYsOBG/OlPv7vqcXbt2oXFi/8dADBwYBEKC/uiqqoSADBp0hSkpaUBAIqK\nBqOmppqJmhRPCIHa2hqcP38OHo8bbrcLWm0KLJYM6HQpsFqtcY2n7VTk119vh8FgxPDhI1s/Cyh2\nmKjbuOmmJbjppiUAgNdf/yPy8/MBoF2yXbLkFvzoR1cvpnrnnT/j6ad/g9/+9nk8/PAPUFNTjY8+\ner/LHjYAGAyp7XqIKSkpCIebE5Xff/mbsBACzz77AgYMGNjpYzUnuI6HpYxGU7vbvf76/0Cv17cr\ndt88PKZpc7uOr3P10NeVPwvceONNeOih/+g01hYmk+nStcLIyLDgrbfe6/J6nR3+cuXv2/7c8sUF\nALTaFIRCoW7jIoo3IQRqas7j/PnzcLtd8HjcSE01IC3NDINBD4Phyi/98rFYmr8kHDy4H8ePH8X1\n1xe3e5+RtBS56lsujY2NAICamhps2PAV5s27EQDQ0HD5PO7167/E4MFD293vs8/+ieLiGUhPT4fP\n522dB+podXdamhlut7v15ysTTGFhXxw9erj1Wi2mTp2GFSuWt/58/PjRqx576tRp+PTTT+DzeQEA\nDoejw3ZOnToNH33U9rGOAQDGjZuIf/3r/wIAtmzZBJfr8tB52zgPHTqAmppqhMNhrF27+qo5+UmT\npuKrr9a2Pp8OhwM1NTUdxtIiLc2MwsK+WLduTevvTpw4DgC49toxWLduLQBgzZovOrz/lClTsHr1\n5wCAM2cqceFCbbvRBiIlEkKgqqoS27ZtxurVn+HIkYMIhQIwGlORnZ0Nszld0XPCGRnp0Ot1WLdu\nNc6cqZQ7nISl2B61y+WK+2P97GdPwOGwQ6fT4fHHf9Q61POnP/0OJ04cg0ajRWFhIf7rv55svY/P\n58Xnn3+K3/72DwCA22//Fv7rv34Avd6AX/7y/73qGkuW3Iwf/vD7yM3Nw6uvvnbVm/A733kAv/nN\n00hPT8eECZPa/P5+/O53L+Oee+4EABQUFOL5519pd9/rr78BJ04cw3333Q2DQY9p06bjwQcfvuoa\nP/jBf+K3v30e99zzv6DVAqNHj8MPf/hjLFt2P375y5/i7rvvwHXXjUV+fkHrfdo+xqhRo/Hb376A\nc+eaF5OVlMxuuRWA5uHlBx54GI8//h8IhwX0ej0ef/wJFBQUoL32cT311LN48cVf45133kIoFMTc\nuQtwzTXD8P3vP46nn/45/vKXtzF16rQOdwPcdddd+NGPnsQ999yJlBQdfvrTX0Knu/rPW8GfeZQA\nPB4PPvlkFRoaGpCTk4OlS29tHTVqIYRAZWUlqqvPwem0IzU1FSaTCZmZmTJFHR2tVousrCycOHEU\nTU0ejBgxSu6QEo5G9OQgaQl1dbZoOByGzdYo6fUyM7Mk3/qUKGekKr0NPp+3ddHc2rVfYM2aL/Dr\nX7/U7jZqaEd3EqENQHK3Y/ny91BZWQGNRgMhBAYNKsKdd34L4XAYFRWnUVtbDYfDDqPReFUCj4Xe\nLibrLbfbhfz8vrj22uskfdxE+JuK5jxqRfaotVptl3ueKbkcOXIEr7zyAoQQyMjIwE9+8gu5QyLq\nUENDQ7vRp6NHD2Pz5g1wOOwwm81ITU3tYIFp4jCb01FTcw5paekoKiqSO5yEochETdTWuHHj8T//\n83/kDoOoWzk5Oairu4CLFxvQ1OTBgAEDodOldLrrIRGlp2fg6NGDyM3NlaxoVbLjYjIioigFg0Ec\nPLgfmZmZCIWCSEszYfDgIZgzp7T7OyegzMxM7NixRe4wEgZ71EREvXThwgWcPHkcdnsjMjIykJ2d\nhcWLl8gdluxahv+rqs50uaWUIsNETUTUA8FgEIcPH0Rd3QWEw2FYLBlJNbQdKbPZjBMnjjFRS4CJ\nmogoArW1tTh16jjsdhssFgvS081yh6R4QghUV59DYWE/uUNRNSZqIqJOhMNhHDlyGDU151p3HbD3\nHLn0dDOqqs4wUUeJiZqI6Ap+vx/btm3DiRMVMJvTuHo5CvE8oz5RMVETEV3icrlw6NB+XLzYgL59\n+6i2WpiSCCHQ2HgRWVkciegtJmoiSnr19fU4evQQXC4nMjMzkZ2dfen0vKDcoaleeno6qqurmaij\nwERNREmrquoMTp8+Cb/fB4vFktBVw+SSkpICj8fd/Q2pU0zURJRUhBA4fvwYqqoqodVqYDabYTSm\nyh1WQvN6m+QOQdWYqIkoKYRCodYjWo3GVGRk9HyBmNfrxcaNzbW7LRYrZs4sQWoqk3x3eAZ8dJio\niSihBYNB7N+/Fxcu1CA9PR1Wq6XXj7Vx4wbU1FRDo9HA4/Fgw4ZyzJs3X8JoExMTdXSYqIkoIYVC\nIRw8uB/V1edhsWRIMv/scNhby2NqNBpuPYpQOByWOwRVY6ImooQSDodx6NABnDtXhfT0dGRlSbfF\nymKxwuPxtJ43bbFYJXvsRCYEE3U0mKiJKCEIIXDkyGGcOVOB9HRzRD3ons45z5xZgg0bytvdnrqn\n1abIHYKqMVETkao1r+I+isrK0zAajT3qQfd0zjk1NZVz0r2g0zHVRIPPHhGpkhACp0+fxOnTJ6HX\n62G19nwYmnPO8aHTXe5RezwefPLJKjQ0NCAnJwdLl94Kk8kkY3TKF1WifuGFF7Bu3ToYDAYMHDgQ\nv/71r1kTl4hirqKiAidPHoNen4KMjIxePw7nnOMjJeVyqvnkk1WorKyARqOBy+XExx+vxJ13fkvG\n6JRPG82dZ8yYgU8//RQff/wxBg0ahNdff12quIiIrnL2bBW+/HI1Tp8+joyMdBiN0fXEZs4sQUFB\nIUwmEwoKCjnnHCNth74bGhrajWI0NDTIFZZqRNWjLi4ubv33+PHj8a9//SvqgIiIrnThQi0OHToA\nIcKSngPNOef4aLuYLCcnBy6Xs3UUIycnR8bI1CGqHnVbK1asQEkJv40SkXRcLhc2bizHvn1fIy3N\nBLNZuiRN8eHz+ZCdndv689Klt2LQoCKYzekYNKgIS5feKmN06tBtj3rZsmWor6+/6vdlZWUoLS0F\nALz22mvQ6/VYvHix9BESUdIJBoPYs2cXGhoakJlphcHQ+2piJC+Xy4X+/fu3/mwymTgn3UMaIYSI\n5gFWrVqFDz74AO+++y4MBoNUcRFREhJCYN++fTh9+jQyMjIuHTVJatbU1IRvfOMbcoehalHNUZeX\nl+PNN9/EX//61x4n6bo6ZzSXVoS8vAzVtyMR2gAkRjsSoQ1A79tRWVmJY8cOw2QywmAwwesNQs7z\noM3mVLjdPtmuLwVltEEX9d91Irw38vJ6vzshqkT97LPPIhAI4N577wUAjBs3Dr/85S+jeUgiSjIX\nL17Evn1fQ4hwVAdmkPIEAgHk5PSROwzViypRf/HFF1LFQURJxu/3Y9euHXC5HL0qVkLK53Q6MWnS\n9XKHoXqsTEZEcSWEwMGD+3HuXBWsViuTdALT6QwwGo1yh6F6TNREFDdVVZU4evQwTCaTJMdOkrKZ\nzWlyh5AQmKiJKObsdhv27v0aoVAQFgvnoZNBOBxGenrvF1DRZUzURBQz4XAYX3+9Cw0NdcjMzATQ\n+RGSlFjsdjvGjJkgdxgJgYmaiGLi7NkzOHToAMxm86UkTcnEZEpjJTmJMFETkaSaz3X+CoGAnwk6\nSfn9fuTnF8gdRsJgoiYiSbSs5rbZLsBgMCE1lZUKk5XL5cINN8yUO4yEwURNRFG7cKEW+/fvgcFg\nQHZ2lgKqYZGcrNYsln+VEBM1EfVaIBDAzp3b4fE4kZHB1dwEuN0ujBgxWu4wEgoTNRH1yokTx3Dy\n5HFYLBYmaWoVDgv07dtP7jASChM1EfWIzdaIPXt2Q6MBi5ZQO0IIZGbyb0JqTNREFJFQKIQ9e3a3\n2RNN1J7dbkNxcYncYSQcJmoi6taZM5U4cuQg0tPTmaSpU0ZjGquRxQATNRF1yufzYfv2rdwTTd3i\n3unYYaImog6dPn0SR48eQWamFamprDDVFa/Xi40bN8DhsMNisWLmzBKkpiZXuVSPx4Phw0fKHUZC\n0sodABEpi9frRXn5OlRWnkJ2dha0Wn5MdGfjxg2oqalGU1MTamqqsWFDudwhxVUwGERBQV9oNBq5\nQ0lI7FETUauTJ4/jxIljyMzMhEajjh6hEnqzDoe9NUlpNBo4HPa4Xl9uTqcTU6cWyx1GwuJXZSJC\nU1MTysvX4cyZSmRlZamqZ6SE3qzFYoUQAkDzFiWLxRr3GOQSDoeRm5sHnY79vljhM0uU5FoKlzT3\nopWboDvrOSuhNztzZgk2bChvF1uysNvtmD17ntxhJDQmaqIk5fF4sGPHNgBCFYVLWnrOGo3m0gld\n5Zg3bz4sFis8Hg80Go1svdnU1FTMmzc/7teVWzgcRmZmdtItnIs3JmqiJHT06GFUVp6G1WpVdC+6\nrc56zsnUm1XCfHxbdrsdJSWlsl0/WTBREyURl8uFnTu3QauF6vZFd9ZzTqbebGejCnIIh8PIysqB\nyWSS5frJhIvJiJLEkSOHsXlzOUwmI4xG9X24zpxZgoKCQphMJhQUFCZ0z7kzSpiPb2G32zFmzDjZ\nrp9M2KMmSnAulxM7dmxDSopWdb3otpKp59wZJczHA5fnptmbjg/2qIkSWHMveiPS0kwwGo1yh0NR\nUsqogs1mw9ix42W5djJij5ooAXm9XmzbthkajUBmZvLs6U10ShhVCAQCyM8vZG86jpioiRLMmTOV\nOHz4IDIz1bOim9TD7Xbjhhtmyh1GUmGiJkoQoVAIO3Zsg8fjRFaWeuei40lp252UzuPxYNiwEaz/\nHmdM1EQJoL6+Drt370RGRjrPA+6BeG13SqQvBIMHD5U7hKTDr0VEKiaEwL59e/D117uQmWlFSkqK\n3CGpSry2OymhHnm0mrdjTZA7jKTEHjWRSrlcLmzfvhl6vR5Wq0XucFQpXtudlLT/uTfC4TDS0y3I\nycmRO5SkxB41kQqdOHEMmzeXw2w2q3YIVQnitd1J7adr2e12TJo0Re4wkhZ71EQqEggEsHXrZoRC\nflUXL1GKeG13UnM9cr/fj/79B8JgMMgdStKKKlG/+uqrWLt2LbRaLXJycvCb3/wGeXl5UsVGRG2c\nP38O+/fvgdVqRWqqWe5wqAeUsP+5t3w+H6699jq5w0hqUQ1933///fjkk0/w97//HbNnz8Yf/vAH\nqeIiokvC4TB27tyGQ4cOICsri1tjKG5cLhdGjhzN/fgyi6pHbTZf/lbf1NTEDxAiidlsjdi5cxvS\n0kywWLjtKlY62j5lNif33L8QAjqdHv369Zc7lKQX9Rz1K6+8go8//hgZGRl49913pYiJiAAcOXII\nZ85UcC46DjraT7106SK5w5KVzWZDcTErkClBt4l62bJlqK+vv+r3ZWVlKC0tRVlZGcrKyvDGG2/g\nr3/9Kx599NGYBEqULILBILZs2YRwOMgkHSdq3z4ltUAggIKCvsjI4LY/JdCIlj0DUTp//jweeugh\n/OMf/5Di4YiS0oULF7B582ZkZGSweEkcff7556iurm7dT11YWIgbb7xR7rBk43Q6sWjRIs5NK0RU\nQ9+VlZUYNGgQAGDt2rUYMmRIxPetq3NGc2lFyMvLUH07EqENQGK0o6amAvv3H4bVaoXXGwQQlDuk\nXjGbU+F2++QOo0emTi1ut31q6tRiAFBdO67U9rWItIyp3W7DxInXo77eFe9wO5UI7++8vN6vMYkq\nUb/88ss4ffo0tFot+vbti1/96lfRPBxRUmoe6t4IozEFVqu6CmEkCjVvn4pUJHXNA4EA+vQpZAUy\nhYkqUf/ud7+TKg6ipFRfX4ddu3bAYslAWlqa6ntwpFyRzMM3NXlRXKyeYizJgpXJiGRy5MghVFVV\nKv5IykQ6+SmZdVfX3G63Y+LEqZyXViBufCaKs2AwiA0bvkJtbbUqhroT4eQn6rqueSAQQG5uHw55\nKxR71ERx1Hxu9I5Lq7rVUTuZW5cSQ1fz8E1NTRzyVjAmaqI4OXz4IM6ePaO6vdHxOgqS5MEhb+Vj\noiaKsUAggC1bNkKIsCqGuq8Uq5OfOPctPw55qwMTNVEM1dVdwO7dO2GxqLeASay2LkWyXYhii0Pe\n6sBETRQjLUPdSl/VLRfOfcvLbrdjwoQpHPJWASZqIokFg0Fs3rwRQEiVQ93xwrlv+bQMeefm5sod\nCkWAiZpIQg6HHVu2bLo01K2OVd2x1Nk8tNfrRSAQwNmzZwEA48aNl2zum7omhGBhE5XhPmoiiZw5\nU4mtWzchKytTtfPRUutsD/bGjRvQ0FCPAQMGoH///tDr9VxIFic2mw3Tpk3nkLeKsEdNFCUhBPbt\n24P6+jrVbb2Ktc7moTk/3XvRrJZ3uVwYMWI00tPTYxwlSYmJmigKgUAAmzdvgFarQUYGP/yu1Nk8\nNOenI9NRUu7tavlAIID0dAuKiopiHzhJikPfRL3U2HgRX365GgYDh20701nZyq7KWdJlHU0d9HY0\nwuNpwuTJU2MZLsUIe9REvVBRcQrHjh1VxNYrJRcO6WwPdjIcKymFjpJyb0YjbDY7pk0rhlbLvpka\nMVET9YAQArt374TD0YjMTGUM10ZTOETJSZ46niLoaaU4t9uNoUOv4fSCijFRE0XI7/dj06Zy6HQp\nMJvlnY9um2CPHTuGwsJC6HS6Hi/MYnUwZesoKfdkNCIUCsFoNGHo0GExjpRiiYmaKAINDQ3YuXMb\nrFaLIoYP2yZYv9+PyspKDB06tMcLs7j6WtminSJwu92YOpXz/2on/ycOkcKdPHkcu3dvQ1ZWpiKS\nNNA+wRYVFcFgMPRqYZbFYoUQAgC4+jrB2O02TJ8+nXv6EwB71ESdEEJg587tcLkcsFp7tmgs1nO/\nbecutVotJk+e0queV6xOxooE58djx+NpwsCBg5GTk4O6Oqfc4VCUmKiJOuD1erFpUzmMxlSYzeYe\n3z/Wc79SJVg5V19zfjw2QqEQdDodRowYJXcoJBEmaqIr1NfXYdeu7cjMzOx1mcVYz/0mwvYmzo/H\nhtPpRGnpArnDIAkpY8KNSCEqKk7h6693ICsrK6payJz77R6fI+nZ7XZMnDgFOh37YImErybRJc31\numt7PB/dETnnftUimueI89tXc7vdGDLkGuTm5skdCkmMiZqSXjgcxpYtmxAK+ZGeniHJY8Z7aFqN\niaur56i79nB+uz2/3w+Lxcr90gmKQ9+U1LxeL9atWwONRsBoNMkdTq91dpykWnXXHs5vXxYOhxEI\nBDFx4hS5Q6EYYaKmpHXx4kWsX78W6elm1c/pJVri6q49nN++zG53YMaMWTxfOoExUVNSOnOmEjt3\nbot60ZhSJFri6q49PH2rmc1mx5Qp06DX6+UOhWJI3d0Iol44dOgAqqvPKuZQDSlcuTBrypSpWLNm\ntSLnrCOZT+9uoVkibE+LlsvlxPDho5CdnS13KBRjTNSUNIQQ2Lp1M3w+LzIyLHKHI6krE9eaNasV\nu9gqkoVgTMRd8/t9yMnpg6KiIrlDoTjg0DclBb/fj3XrVkOIINLS1LtoLFJKnrNWcmxqEAqFEA4D\nY8eOlzsUihMmakp4drsN69atQVpaGnS65JjLU/KctZJjUwOXy4Xi4pkJsbaCIsNETQnt/Plz2LZt\ns6JOvooHJS+2UnJsSmez2XD99cWq36VAPcNXmxLW0aOHUVVViczM6CuNqY2S53iVHJuSOZ1OjB49\nhiMQSUiSLsaf//xnjBw5EjabTYqHI4qKEAI7dmxDdfU5WCyJtWgs0Xm9XqxZsxorV67AmjWr4fP5\n5A5JEbzeJuTnF6JfvwFyh0IyiLpHXVNTg82bN6Nv375SxEMUlWAwiI0b10OnS0FaWprc4SiaEsuO\nsjTo1YLBIHS6VFx33Vi5QyGZRN2jfu655/DEE09IEQtRVJqamvDll6uRmmqAwWCQOxzFU2LZUa4I\nb08IAbfbg2nTiuUOhWQUVY/6yy+/RGFhIUaMGCFVPES9YrPZUF6+DpmZVq6GjVA0STFWvXGLxQqP\nxwONRsMV4WiuPDZrVmlSLYSkq3WbqJctW4b6+vqrfv/YY4/h9ddfx1tvvdX6u5YtF0TxVFtbixMn\nDiArK/kWjUUjmqQYqyFqHg96WWNjI264YQaMRqPcoZDMNKKX2fXYsWNYtmwZjEYjhBCora1Ffn4+\nPvroI+Tk5EgdJ1GHTp06hX379iXlyu5o+Xw+rFu3Dna7HVarFXPmzIm4V/zBBx+gqamp9WeTyYQ7\n7rgjVqEmHbvdjilTpnDtDwGIIlFfqbS0FKtWrYLVGtm38ro6pxSXlVVeXobq26HmNhw9ehhnz55B\nRkYGzOZUuN3qXiGspja0LVEqhEBBQWFrj1pN7eiKXO1wOl0YOvQaFBUNifqx1Pz+bisR2pGX1/uz\n7iXbR93LzAvJAAAgAElEQVTyhiWKhz17dqOxsQEZGb3/45eCEldOx0MiDFEr8bXzeDwoKCiUJElT\n4pAsUa9du1aqhyLqVPPBGpsQCPhhNpvlDidptxMlQtESpb12fr8fZnMGRo8eI1sMpExcSkiqEQqF\n8NVXaxEOhxSzwIbbidRLSa9dKBRCKBTG5MlTZYuBlIuJmlShZY+00ZgKvV45B2vwgAn1UsprJ4SA\ny+XGjBmzuLWQOsRETYrncNhRXr4OFksGUlJS5A6nHR4woV5Kee1sNjtmzpytuL9tUg4eykGKVltb\ni717dyl2j3QizNUmKyW8djabDdOmFStmKoeUiYmaFOvMmUocPXqQe6Q7oMQVy8km2tfA4bBj3LgJ\nsFr5901d49A3KdLRo4dx/PgRfoh1Qol1upNNNK+B0+nEkCHDkZ9fGMMIKVGwR02Ko5Q90krRUc8t\n2hXL7JFHr7evgcfTfGTlkCFDYxkeJRAmalIMIQS2bdsCv79JEXuklaKj/b7RHl6htD3EsRLLLyS9\neQ18Ph/S09N5ZCX1CIe+SRGEENi0qRyBgA9Go0nucBSlo55btCuWGxrqcfr0KRw+fAinT59CQ8PV\nB+8kglhOEfT0NQgEAkhJ0WHSJO6Vpp5hj5pkFwqFUF6+Dqmpeuh0HH69Ukc9t2hXLNfW1sDpdEKr\n1cLv96O2tkbCiJUjlkVNevIaBINBBIMhlJSUcK809Rh71CSrQCCAr75aA6MxFTqdcgqZKEks9vsW\nFBQiI8MCnU6HjAwLCgoSc1GTEoqahEIheL1ezJw5m0maeoU9apKN1+ttLWSi1fI7Y2disd83OzsH\ngwcPbu2lZ2cn5tG0ch8eEg6H4XK5MWfOPP6NU68xUZMs3G43Nm78CpmZmexlyEDuBBYvchY1EULA\n4XBg9ux50On4UUu9x78eiju73YatWzcxSXch1tunUlNTMWPGzNZrbNhQHtU12sabl5eDqVOLk3q7\nlxACNpsNJSWlMBgMcodDKsdETXHV0NCAnTu3ISsrS+5Qeiza5NmT+8dj+9S6dWuxY8cO+P0+GAyp\nCAQC+MY3/q1Xj9U23urq6oTd7hWpxkYbZsyYBZOJOxgoepw0obipra3Frl3bFFu3uzvRbvXpyf3j\ncQTj3r174Xa7EAwG4Xa7sHfvnl4/lpKOjJRbS/3u9PR0uUOhBMEeNcXF+fPncPDgPlXX7Y42GfXk\n/p0V01BqRbHuin8oNW6p2Ww2TJw4BZmZ6hsxIuVij5pirqrqDA4d2g+rVd1nNUe71acn9+9sS5aU\nBTzGjRsPszkdOp0OZnM6xo0b3+vHahtvYeHVW8iSoTa53W7HmDHjkZubJ3colGDYo6aYqqg4hePH\nj8FqtcgdStSiXSndk/t3tlpZyiHm0tK50Ov1Ua38vrKnfNNNi5GdbYHb7YtZ3L2JK9Y9eLvdgZEj\nR6OwsG/MrkHJi4maYub48WM4c+Z0QiRpIPqtPlJsFYq2xndv4ukq6XW06G3p0kVRxS1Fko1nLXOn\n04mhQ6/BgAEDY/L4RBz6ppg4evQwqqpOtzsBy+v1Ys2a1Vi5cgXWrFkNn8/XxSNQR2JRpaw7XQ1b\nR9pT7kncUgyTx6sH73K50L//IAwZck1MHp8IYI+aYuDAgX24cKEG6entj6lU84lNSlkMJUcBj66S\nXqQ95Z7ELUWSlXLkoTMejxt9+hRgxIiRkj82UVvsUZOkDhzYh/r62g63pqh5C08yLIbqTFeL4GLR\nw5eiPnesRx48Hjeys/N4XCXFBXvUJJmWJJ2W1vFZ0vHo5cRK2y8ZoVAIO3fukL13HS9dLYKLRQ9f\nivKmsRx5aEnSY8f2fpU8UU8wUZMkukvSgLrrS7f9klFZWQkAaGpqUt0Qfm/Ee7hdzvrc3WGSJjkw\nUVPUIknSgLI/gLvT9kuGwWBA377N23DUNoRPvefxeJikSRZM1BSVAwf2oa6uFmZz10la7dp+yViz\nZjVqaqoByHfGMcVXc5LOZZImWXAxGfVasiTpK8mxRYrkwyRNcmOPmnolWZM0oO4h/EQn9TY6JmlS\nAvaoqcda5qSTMUmTskm5jY5JmpSCPWrqkWTuSZM0Ylk8Rqq9+h6PB4MHD8CgQSMkiYsoGuxRU8SS\nMUmz7Kn0Ylk8RopiKS096cmTJ0sWF1E0mKgpIrFK0kpPhMlckSxWYlmhLtqFfhzuJiWKauj7D3/4\nAz788EPk5OQAAMrKylBSwhWwiebgwf0x60krvf63msueKlUsK9RFs9DP4/EgKyuHSZoUJ+o56mXL\nlmHZsmVSxEIKdPDgfly4UBOz4W6lJ0I1lz1VKiVWqGNPmpQs6kTdMh9EiSfWSRpQfiJUYlLpiFJO\n94qE0ra3MUmT0kWdqN977z18/PHHuO666/DjH/+43fnDpF5HjhyKeZIGep4I452QlJZUOqP0KQSl\nYu1uUgON6KZLvGzZMtTX11/1+7KyMowfPx5ZWVnQaDR45ZVXUFdXh+eeey5mwVJ8HDlyBMePH1fk\nl67PP/8c1dXVrT3wwsJC3HjjjXKHJbsPPvgATU1NrT+bTCbccccdMkakfC6XC/369cOECRPkDoWo\nS932qN9+++2IHuj222/Hd7/73YgvXFfnjPi2SpWXl6H6dlzZhoqKCpw8eQQZGRa43cpagQ0AdXUN\nCARC7X52u30wm1MVGW9PRNMGo9EMm83R+gUmKytXtudDDa+Fy+VE374D0L//NZ2+hxPx/a1WidCO\nvLzed3yiGvquq6tDXl4eAGD16tUYPnx4NA9HMjt37iyOHz8Cq9UidyidUsqcttLmhNUyl64ETqcT\nAwcOxrBh/LwidYgqUb/44os4fPgwtFot+vXrh6efflqquCjOamtrcfDgfmRmKmsx15WUkpA2btyA\ns2erUFVVBa+3CYcOHcBDDz0sW7JWy1y63Ox2B665ZjgGDx4idyhEEYsqUb/wwgtSxUEyamhowN69\nu5CZmSl3KN1SSkJyOOyoqqqCy+WERqNBbe2FmCzgUlrPXc0cDjtGjLgWAwcOkjsUoh5hZbIkZ7fb\nsXPnVlUkaSWxWKzweptah+CNxtSY7AFnZTRp2Gx2XHvtWCZpUiUeyqFiHo8Hn3yyCg0NDcjJycHS\npbfCZDJFfH+3242NG7cgKysrhlEmppkzS3Do0AHU1l6A0ZiKwsK+OHu2CitXrpC056v0gjBqYLPZ\nMG7cJOTn58sdClGvsEetYp98sgqVlRVwu12orKzAxx+vjPi+zUOq69mT7qXU1FQ89NDDmDOnFKNH\nXwePxw2rNVPynq8Uh0z0lNLrr/dEY6MNkyZdzyRNqsYetYo1NDS06201NDREdL9gMIjy8nXIzLS2\n3p96ru18+cqVK1r3MUvZ84108ZyUc9mJUDxFCAGbzYYbbpihuGp3RD3FRK1iOTk5rYuZhBCth6N0\nJRQKYf36tbBYMpikJRSrbWORLp6TMrmqfbi9OUnbMWPG7KQ6kpUSF4e+VWzp0lsxaFARzOZ0DBpU\nhKVLb+3y9kIIlJevQ1paGrRavvRSivZ4xWhJmVzlGG6XSigUgt3uwKxZpUzSlDDYo1Yxk8mEO+/8\nVkS3FUJg48ZypKbqkZKSEuPI4qdlyNfrdcNoNMu2fUnubWNS9uiVsle9p4LBIJqavCgtnQ+djh9t\nlDj415wktm3bAo1GQKczyB2KpFqGfFNT9bDZHKqcT5WClMlV7i8dvREMBhAIhDBnzjyOFlHCYaJO\nArt27YDf74XRaIz5teJdoEON86mxeI7UmFyl4vP5oNXqUFJSwnUXlJD41TPBHTp0AE6nLS5JGoh/\ngQ41zqeyiIl0PJ4mGI1pKC6ewSRNCYuJOoFVVJxCdfU5pKXFb1FNvHu4ci/i6g01jgIokcvlRG5u\nHqZMuZ5JmhIah74TVG1tLY4fPwqrNb49zHifbtUy5KuGoxVbKOUEMDVzOBwYPHgohg4dJncoRDHH\nHnUCcjjs2LNnZ9yTNKDOHm688TmKjs1mx6hR1zFJU9JgjzrB+Hw+bNmySbb63XIvaorXYrZoriP3\nc6RWLdXGJk+eFlFxH6JEwR51AgmHw9iw4SvFnykdS/FaqMUFYfEVDodhs9kxffosJmlKOuxRJ4iW\ngiZpaaakXlgTr4VaXBAWP82FTJowZ848GAyJVQeAKBLsUSeIXbu2XypoktzfveK1XUuN28LUyOfz\nIRgMYc6c+UzSlLSYqBPAoUMH4HI5ZCmdqTTxWqjFBWGx5/E0ITXVhJkzZ7PaGCW15O5+JYCKigpU\nV59DRkaG3KEoQrwWanV1nXhXZ0tELpcTffoU4rrrxsodCpHs+DVVxWpra3HixGEmaYXhQrPo2O0O\nDBo0hEma6BL2qFXK6XRgz56dMd+Gxd5hz3GhWe/ZbHaMHj0G/fr1lzsUIsVgolYhv9+PzZs3xmWv\ndEvvUKPRwOPxqOJ0Krm/XLDyWM9xjzRR5zj0rTLhcBjl5etgtVricj019g7lHnrmQrOe4R5poq6x\nR60yW7duRlqaKW6rYNXYO5T7ywUrj0UuEAjA6/VyjzRRF9ijVpEDB/YhGPTFda+0GnuH3OOsDl5v\nE7TaFO6RJuoGe9Qqce5cFWprq+O+wluNvcOZM0uwYUN5uzlqUhan04U+ffIxZsw4uUMhUjwmahVw\nOOw4eHA/MjMz5Q5FFdT45SKZ2O12DBs2CkVFRXKHQqQKTNQKFwwGsXXrJiZpUr2Wld2TJl2P3Nxc\nucMhUg0magUTQmDz5g2qLmgi91YpUoZQKASXy42ZM+cgLS1N7nCIVIWJWsH27dsDjQZISUmRO5Re\ni/c+bH4xUB6fzwdAg9LS+ar+WyaSC1d9K1RFRQUaGi6oPsnEe6uU3HuoqT2Xy4WMDCtmzJjFJE3U\nS+xRK1Bj40UcO3YYmZnq31YU733YFy/W4/Tp0/D5vEhNNXLbj4wcDjsGD74GQ4cOkzsUIlWLukf9\nl7/8BTfeeCMWL16Ml156SYqYklogEMD27VsTIkkD8d+HXVNTA6fTgWAwCKfTgZqa6phej64mhEBj\now1jxkxkkiaSQFQ96m3btmHdunX45z//CZ1Oh4sXL0oVV1ISQmDjxvK4lQeNB6m2SkU695yfXwC7\n3Q6fz4fU1FTk5xdEfW2KXCgUgsPhwPTpJUhPT5c7HKKEEFWifv/99/HAAw+0VsrKzs6WJKhktXv3\nDuj1KTErD9pRsjOb1TEHHumitJycXAweHGgdas/JkWYbEBepdc/v9yMUCuPmm29CY2OT3OEQJYyo\nMkJFRQV27tyJ22+/Hd/+9rexf/9+qeJKOidPHofdbovpnKqaF1pFuigtVkPtan7u4sHtdsNkSkNJ\nyZy4lrglSgbdvqOWLVuG+vr6q37/2GOPtQ5zffjhh9i3bx8ee+wxrF27NiaBJrL6+jqcOnUCVmts\n56XlPqwiGpEuSotVVTI1P3ex5nA4MGBAEUaMGCl3KEQJqdtE/fbbb3f6/5YvX44FCxYAAMaOHQut\nVovGxsaIzknOy1NvEY+2om1HIBDApk370LdvH4ki6lxeXg6qq6tbk11eXvORgmoY/r7xxvlYt24d\n7HY7rFYr5syZc9XQcyzb0dFzF4vrqeG1aNFSaWzGjGkYMGBAu//H97dyJEIbgMRpR29ENUY1b948\nbNmyBVOmTMHp06cRDAYjStIAUFfnjObSipCXlxF1OzZsWA+dzgC32ydRVJ2bOrW43WEVU6cWA0Bc\nri2FmTPntP47GASCwctxm82pMW1HR8+d1NfrrA1KnB8PBoNwudwoLp4JozG93ftAiveFEiRCOxKh\nDUBitCOaLxpRJepbb70VTz75JBYvXgy9Xo/nn38+modLOkeOHEY4HEJKij4u1+NhFb0n53MX7+pu\n3Wlq8kKvN2DevIVxOxedKJlFlaj1ej1efPFFqWJJKg0NDaiqqoj5vDSpn5Lmxx0OB/r27Y9rr71O\nthiIkg2XZ8ogFAph165tMT8RS4lDptRz8a7u1pGW+eixYyegsLBv3K9PlMw4biWDbdu2xOVELG4p\nSgzxru52pUAgAKfThZkz5zBJE8mAPeo4O3HiGPz+JqSlmWN+LSUNmVLvyTk/7vF4YDSaUFo6n/PR\nRDJhoo4ju92GkydPICsrtkPeLZQwZJrs1Dz9YLfbMXBgEUaMGCV3KERJjV+R4yQcDmP79i1xS9KA\n/EOmpM7ph+ZDNRoxduxEJmkiBWCPOk527NgGszn2w91tqWk7lpp7nl1R2/RDMBiA1+tDSUkpTCaT\n3OEQEdijjouKilPweFysgdwFNfY8I2GxWCGEAADFTz+43W7o9UbMmTOfSZpIQZioY8zlcuLYsSNx\n702rjdp6npFSy/SD3W7HgAGDMGXK9a2vAxEpA7t4MSSEwLZtW1jUJAKJuvBN6dMP4XAYdrsdkyZd\nj9xcaY4EJSJpsUcdQ7t374TJlMoeSgTU0vNMJH6/Hx5PE+bMmc8kTaRg7FHHSF3dBTQ2NsBiscgd\niiooveeZaBwOJ3JycjF9+kR+kSRSOCbqGAiHw9i7dzeTtIIl6irz7jRvvbJhzJix6NdvQPd3ICLZ\nMVHHwNdf7+Kq2RjqKMn29BxnpZ1IFQ9+vx9+vx+zZnHrFZGaMFFLTM1D3mrpZXaUZJcuXdSjx0jU\nVeadcTqdyMnJw7hxEzjUTaQyXEwmIbUPeatlL7MUSVZN+5uj0VJlbOTI0Rg/nvPRRGrERC2hPXt2\nq3pIUS29TCmSbDKsMvf5fHC73SgpKUW/fv3lDoeIeolD3xKpq7uAixfrVdubBtSzl3nmzBJs2FDe\nboi+pxJ9lbnT6UR2di570UQJgIlaAs1D3l+rOkkD0iTAeEj0JBsNIQRsNhuuu24ce9FECYKJWgJ7\n9uxGWpp6h7xbMAGqm8/nQyAQ5IEaRAmGiTpK9fX1qh/yjge1rCiPh1g8F06nAzk5fbiqmygBcTFZ\nFIQQ2LNnF5N0BNSyojwepHwuWlZ1jxo1hvPRRAmKPeoobN++HWlpRrnDUAW1rCiPB6meCw51EyUH\n9qh7yWZrxPnz56HT6eUORRWSZd9yJKR4LhwOByyWTMyZM49JmijBMVH30t69XyMrK0vuMFQjGfYt\nRyqa5yIUCl2q1T2O89FESYJD371QWVkBIUJyh6EqXFF+WW+fC7fbjdRUE+bOXQCdjm9domTBd3sP\nhcNhHD16GJmZyTt0S/HVsjd62LCRGDJkqNzhEFGcMVH30P79e2E2c06Q4sPn8yEYDGHGjNkwm81y\nh0NEMmCi7gGPx4OamvOcm6a4sNvtKCzsh9Gjx3AumiiJMVH3wJ49u5CZmSl3GNSJRCmqEgwG4Xa7\nMXHiVOTk5MgdDhHJjKu+I1RbWwuPx82ejYIlQlEVl8sJnc6AuXMXMkkTEQD2qCMihMDBg3tZgUzh\n1FxUJRwOo7GxEcOHj0L//gPlDoeIFISJOgLHjh3ldhgVUMsxnVfyeJqg1WqxePFNsNt9codDRArD\noe9uBINBVFaegtHIUqFKp8aiKjabHX379kNJyRwYDAa5wyEiBYqqm1hWVoaKigoAzStUrVYrVq1a\nJUVcirFnz25kZGTIHQaAxFksFStqKqoSCATg9fowbVqxanr+RCSPqBL1K6+80vrv559/XjEJTSou\nlwsNDfXIylLGSu+WxVIajQYejwcbNpSrJjHRZQ6HA7m5fVBcXMLFiUTULckmXj/77DO8++67Uj2c\nIuzfv0dRFcjUvFiKgGAwAI/Hi3HjJiIvr4/c4RCRSkgyR71z507k5uZi4MDEWa3qcjnbJUYl4AlU\n6mW322EypWPu3AVM0kTUI932qJctW4b6+vqrfl9WVobS0lIAwD//+U8sWrRI+uhktH//XsUVN5k5\nswQbNpS3m6MmZQsEAmhq8rJ4CRH1mka0dNF6KRQKoaSkBCtXrkR+fr5UccnK6XRizZo1LBVKUbHZ\nbOjXrx8mT56sqJEZIlKXqOeoN23ahCFDhvQ4SdfVOaO9dMxs2bIRer0JbnfXe1rN5tRub6N0idAG\nQFnt8Pv98Pn8mDBhMrKzs1Ff74rofnl5GYp+X0SK7VCORGgDkBjtyMvr/WLrqBP1Z599llDD3i6X\nCw6Hnb1p6hW73Yb8/L4YM2Yce9FEJImoE/Wvf/1rKeJQjIMH9ylublouV+7bnjJlKnbs2M593B3w\n+XwIBAKYMuUGZGbySx4RSYeVydrw+Xyw2RrZE7rkykMu3nnnLdUfehELdrsNmZnZmDNnPpM0EUmO\nBazbOHBgL6zWxNry1NNqZm1vf+zYMfTt2xcpKSnQaDRobGxETk4uAO7jBlp60UFMnVoMq5WjMEQU\nG+xRXxIMBlFfXwetNrGekp4e/dj29n6/v7VErBACWVlZ3MeN5rbbbHZkZ+dizpx5TNJEFFPsUV9y\n6NCBhCuBCvS8mlnb2w8aNAjV1dUwmUywWKxYsuRmbN++Lan3cft8PgSDIdxww3RkZPDYUyKKPSbq\nS+rqLkCv1+Grr9Yl1GKpnh792Pb2KSkpmDx5Srt64slaWzwcDsNut2PQoCEYMWIk1zEQUdwk1jhv\nL9XW1gIQPR4m7g2v14s1a1Zj5coVWLNmNXy+2O797enRj2o8KjLWXC4nhABmzZqLkSNHMUkTUVyx\nRw2gouIkMjIy4nLoRbxPwOrp0Y9qOioy1loO0Rg9+joUFvaTOxwiSlJJ36MOh8Ow2RoBxOfQC56A\npXxCCDQ22pCebsXcuQuYpIlIVkmfqE+dOoG0tDQA8Rn25QlYyubxuOHz+TF9egnGjh3PYW4ikl3S\nD33X1FS3LhiLx7AvT8BSplAoBKfTheHDR6KoaLDc4RARtUrqRO31euFyuZCdHb9qUpwDVh673YGs\nrGzMnVuMlJQUucMhImonqRP10aOHYbVyL2yyatkTPWnSVGRnZ8sdDhFRh5I6UV+8WA+z2Sx3GBRn\n4XAYDocDgwYNxvDh3BNNRMqWtIm6oaEBoVBI7jAozpxOJ9LSzJg9ex4MBoPc4RARdStpE/Xp0ydh\nsXDYO1n4fD74/QGMHj0GBQV95Q6HiChiSZuoPR43jEZ1lwel7oVCIdjtDhQVsfQnEalTUiZqIQQT\ndRKw2RqRlZWLuXMXQK/Xyx0OEVGvJGWivnChFqmpnJ9MVC6XGzqdDtdfP51HUBKR6iVloj5//hzS\n0rjaO9H4/X54vT6MHHkt+vcfIHc4RESSSMpE7fG4odcnZdMTUigUgs1mQ3Z2PkaNGs15aCJKKEmZ\nrdxuFzIzOSSqdkII2Gx25OTkYN68+bDZvHKHREQkuaRL1Ha7rUe393q92LhxQ7va3C21wUk+DocD\nRmMapk8vQXp6+qXFYkzURJR4ki5RV1Wd6dH+6XifH01d83g8EAIYO3YC+vTJlzscIqKYS7pE7XI5\nodVGfronz49WBr/fj6YmL665ZhgGDx4qdzhERHGTdIk6FApBq4282RaLFR6PBxqNhudHyyAQ8MPl\n8mDgwCKMHDmKC8WIKOkkXaIOBoM9WvHN86PlEQgE4HK50K/fANxwQ0mPRkGIiBJJ0iXqUCjYo9vz\n/Oj4CoVCcDgcKCjoi2nTZvB8aCJKekmXqINBnpilRC0Juk+fAkyZcgN0uqT70yQi6lDSfRoGgz3r\nUVNshcNh2Gw25Ob2QWkpa3ITEV0pqRJ1MBiERiPkDoPQUqzEhuzsXMyZM59704mIOpFUiVqr1UII\nJurekqL4S0uCtlqzMHPmHKSlpcUoWiKixJBUS2mbVw4nVZMl1VL8pampCTU11diwoTzi+wohcPFi\nI8JhgenTZ2HatGImaSKiCCRVjxoAtFruw+2t3hR/CYVCsNvtyMzMxowZs5Cenh7rMImIEkpUifrI\nkSN46qmn4PP5oNPp8NRTT2HMmDFSxRYTOh0XK/VWT4q/NBcqcaNPnwJMmnQ9DAae/01E1BtRJeoX\nX3wRjz76KGbMmIH169fjhRdewF/+8hepYosJLlrqvUiKv3i9Xvj9fvTt25+FSoiIJBBVotZoNHA6\nnQAAp9OJ/HzlH5JgNJogBPdS90ZXxV+cThe0Wi2KigajqGgIS30SEUkkqkT9k5/8BPfffz+ef/55\nCCGwfPlyqeKKGZPJBJfLwZ6eBIQQl46bNOHaa69DYWFfuUMiIko43SbqZcuWob6+/qrfl5WVYfPm\nzfjpT3+KefPm4fPPP8eTTz6Jt99+OyaBSqWoaAg2b16PzMwsuUNRrXA4DLu9efh7ypRpfC6JiGJI\nI6LYWDx58mTs3Lmz9edJkyZh165dkgQWS5999hlMJpPcYaiO3++H2+1Gfn4+xo8fz+1VRERxENXQ\nd35+PrZv346pU6diy5YtKCoqivi+dXXOaC4dFa3WCJfLG/U8qtmcCrfbJ1FU8uiuDUII2O12pKYa\nUVBQiHHjrodWq4XbHYLbLd9reKW8vAxZ/6akkAhtANgOJUmENgCJ0Y68vIxe3zeqRP3MM8/g2Wef\nRTgcRmpqKp555ploHi5uRo68Fhs2fIWsrEy5Q1Esv795e1V2djamTr2Bw9tERDKJKlFPnDgRK1eu\nlCqWuElLS0NWVjbC4SAXlbXRXN7TDpPJhIKCviguHsbnh4hIZklXmazFmDHjsH79WmRnZ8sdiux8\nPh88Hg+ysnJQXDwDGRkWuUMiIqJLkjZRm0wmDBlyDc6fP5uUi6JaDsfQ67NRWNgPQ4cO495nIiIF\nStpEDQDDh49EfX0dQqEQUlJS5A4n5lqSs8FggMVixfTpJRg8uK/qF2kQESWypE7UAHD99cVYt24N\nzOa0hEzWzXuebUhNNcJqzUJx8UwObRMRqUjSJ+qUlBTMmTMP69d/CaMxFTqd+p+S5hOrHDCZTMjM\nzMKYMRNgNpvlDouIiHpB/VlJAikpKZg9ey62bt0Mt9utyqTWcpxkWpoZWVnZmDBhCoxGo9xhERFR\nlJioL9FqtSgunoHKygocOXIQVqtV0VuTwuEwHA4HNBoNzOZ0WK2ZmDhxKk8HIyJKMEzUVxg0qAiF\nhX3+2AoAAAnhSURBVH2xb98e1NdfgNVqVcTcdTAYhMPhgE6nh9lsRnp6Bq69dkyXZ0ITEZH6MVF3\nwGAwYPLkqQgEAjh06ADq6y8gHA7DYrHEbQtTc2UwFwwGA8zmdGRl5WL8+MlJuZWMiCiZMVF3Qa/X\nY9y4CQCAxsaLOH36FJxOOzyeJqSmGmAy6aN6fL/fj6YmD4LBEPR6AwyG5v9SU1ORlZWLqVOLYDAY\npGgKERGpFBN1hLKyspGV1VzFLBwOo76+Hn6/Az7fRQSDAQSDQYRCQQQCwdb7aDS41APXXPq3Fnq9\nHgZDKgwGA3Jz+yA3Nw8ZGfHrqRMRkbowUfeCVqtFnz59kJc3lMVCiIgoppS7rJmIiIiYqImIiJSM\niZqIiEjBmKiJiIgUjImaiIhIwZioiYiIFIyJmoiISMGYqImIiBSMiZqIiEjBmKiJiIgUjImaiIhI\nwZioiYiIFIyJmoiISMGYqImIiBSMiZqIiEjBmKiJiIgUjImaiIhIwZioiYiIFIyJmoiISMGYqImI\niBSMiZqIiEjBokrUR44cwZ133oklS5bge9/7Htxut1RxEREREaJM1D/72c/wwx/+EJ988gnmz5+P\nN998U6q4iIiICFEm6oqKCkyePBkAUFxcjC+++EKSoIiIiKhZVIl62LBh+PLLLwEAn332GWpqaiQJ\nioiIiJrpurvBsmXLUF9ff9Xvy8rK8Nxzz+HZZ5/FH//4R5SWlkKv18ckSCIiomSlEUIIKR6ooqIC\nTzzxBD788EMpHo6IiIgQ5dD3xYsXAQDhcBivvfYa7rzzTkmCIiIiombdDn135Z///Cfee+89aDQa\nLFiwALfeeqtUcREREREkHPomIiIi6bEyGRERkYIxURMRESkYEzUREZGCxSVRv/rqq1iyZAluvvlm\n3Hfffairq+vwdqNGjcItt9yCm2++GQ8//HA8QuuRSNuxatUqLFy4EAsXLsTf//73OEfZtRdeeAHf\n+MY3sHTpUjz66KNwuVwd3q60tLS1rd/85jfjHGX3Im1HeXk5brzxRixcuBBvvPFGnKPs2ueff45F\nixZh1KhROHjwYKe3U/prEWk7lPxaAIDdbse9996LhQsX4r777oPT6ezwdkr8nOruufX7/SgrK8OC\nBQtwxx134Pz58zJE2bXu2rBq1SrccMMNuOWWW3DLLbdgxYoVMkTZvSeffBLFxcVYvHhxp7d59tln\nsWDBAixduhSHDx/u/kFFHLhcrtZ/v/vuu+IXv/hFh7ebMGFCPMLptUjaYbPZxNy5c4XD4RB2u731\n30qxadMmEQqFhBBCvPjii+Kll17q8HalpaXCZrPFM7QeiaQdoVBIzJs3T5w9e1b4/X6xZMkSceLE\niXiH2qmTJ0+K06dPi29/+9viwIEDnd5O6a9FJO1Q+mshhBAvvPCCeOONN4QQQrz++uvixRdf7PB2\nSvuciuS5fe+998RTTz0lhBDi008/FY899pgMkXYukjasXLlSPPPMMzJFGLkdO3aIQ4cOiUWLFnX4\n/7/66ivxwAMPCCGE2LNnj7jtttu6fcy49KjNZnPrv5uamqDVdnxZofAF6JG0Y+PGjZg+fToyMjJg\nsVgwffp0bNiwIZ5hdqm4uLg17vHjx3da9lUIgXA4HM/QeiSSduzbtw+DBg1Cv379oNfrcdNNN2Ht\n2rXxDrVTQ4YMQVFRUbd/90p/LSJph9JfCwBYu3YtbrnlFgDALbfcgjVr1nR4O6V9TkXy3LZt28KF\nC7FlyxY5Qu1UpH8fSnvuOzJ58mRYLJZO///atWtx8803AwDGjRsHp9PZYfXPtuI2R/3KK69g9uzZ\n+Mc//oHvf//7Hd4mEAjgm9/8Ju68885O3yRy664dtbW1KCwsbP05Pz8ftbW18QwxYitWrEBJSUmH\n/0+j0eC+++7Dv//7vyu+2lxn7ejotbhw4UI8Q5OEml6Lzqjhtbh48SJyc3MBAHl5eWhsbOzwdkr7\nnIrkub1w4QIKCgoAACkpKbBYLLDZbHGNsyuR/n188cUXWLp0KX7wgx+o9myJtq8FEFmOiKrgSVtd\n1QQvLS1FWVkZysrK8MYbb+Cvf/0rHn300atuu27dOuTl5aGqqgr33HMPRowYgQEDBkgVYkSibUdH\n3/g0Gk3M4u1Id20AgNdeew16vb7TeZTly5cjLy8PFy9exLJlyzBkyJDWk9LiJdp2KOHbdyRt6I5a\nXouuKOG1ADpvx2OPPRbxYyjhc6qtSJ7bK28jhIj751JXImlDaWkpFi1aBL1ej+XLl+NHP/oR3nnn\nnThEJ63e5AjJEvXbb78d0e0WLVqEhx56qMNEnZeXBwAYMGAArr/+ehw+fDjub4Bo21FQUIBt27a1\n/lxTU4Np06ZJGmN3umvDqlWrsH79erz77rud3qbltcjOzsb8+fOxf//+uCeHaNtRUFDQbtFMbW0t\n+vTpI2mM3Yn076krangtuqOE1wLouh05OTmor69Hbm4u6urqkJ2d3eHtlPA51VYkz21BQQFqamqQ\nn5+PUCgEl8sFq9Ua71A7FUkb2sZ7++2346WXXopbfFLKz89vNxpQU1PT7XshLkPflZWVrf9eu3Yt\nhgwZctVtHA4H/H4/gOYhqN27d2Po0KHxCC9ikbRjxowZ2Lx5M5xOJ+x2OzZv3owZM2bEM8wulZeX\n480338Rrr70Gg8HQ4W2amprgdrsBAB6PBxs3bsSwYcPiGWa3ImnHmDFjcObMGZw7dw5+vx+ffvop\n5s6dG+dII9NZj0INr0VbnbVDDa9FaWkpVq5cCaD5S2BH8SnxcyqS53bOnDlYtWoVgOZV+vHuPHQn\nkja03WWzdu1aXHPNNfEOM2JdjRDMnTu3dTfQnj17YLFYWqdcunrAmHv00UfFokWLxJIlS8R3v/td\nUVtbK4QQYv/+/eJnP/uZEEKI3bt3i0WLFomlS5eKxYsXi7/97W/xCK1HImmHEEL87W9/E/PnzxcL\nFiwQq1atkivcDs2fP1/Mnj1b3HzzzeLmm29uXQlaW1srHnzwQSGEEGfOnBFLliwRS5cuFYsWLRKv\nv/66jBF3LJJ2CCHE+vXrxYIFC8T8+fMV147Vq1eLkpISMWbMGDF9+nRx3333CSHU91pE0g4hlP1a\nCCFEY2OjuOeee8SCBQvEd77zHWG324UQ6vic6ui5ffXVV8WXX34phBDC5/OJ73//+2L+/Pnitttu\nE1VVVXKG26Hu2vDyyy+Lm266SSxdulTcfffd4tSpU3KG26nHH39cTJ8+XYwePVrMmjVLrFixQrz/\n/vti+fLlrbf51a9+JebNmycWL17c5Y6PFqz1TUREpGCsTEZERKRgTNREREQKxkRNRESkYEzURERE\nCsZETUREpGBM1ERERArGRE1ERKRgTNREREQK9v8Dp2wC0sETjekAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -156,13 +148,11 @@ }, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "INFO (theano.gof.compilelock): Waiting for existing lock by process '1517' (I am process '1884')\n", - "INFO:theano.gof.compilelock:Waiting for existing lock by process '1517' (I am process '1884')\n", - "INFO (theano.gof.compilelock): To manually release the lock, delete /home/vagrant/.theano/compiledir_Linux-3.13--generic-x86_64-with-Ubuntu-14.04-trusty-x86_64-2.7.6-64/lock_dir\n", - "INFO:theano.gof.compilelock:To manually release the lock, delete /home/vagrant/.theano/compiledir_Linux-3.13--generic-x86_64-with-Ubuntu-14.04-trusty-x86_64-2.7.6-64/lock_dir\n" + "Applied log-transform to sigma and added transformed sigma_log_ to model.\n", + "Applied interval-transform to nu and added transformed nu_interval_ to model.\n" ] } ], @@ -223,8 +213,7 @@ " C = pm.Deterministic('C', T.fill_diagonal(C_triu[np.zeros((2, 2), dtype=np.int64)], 1.))\n", " \n", " sigma_diag = pm.Deterministic('sigma_mat', T.nlinalg.diag(sigma))\n", - " cov = pm.Deterministic('cov', T.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))\n", - " tau = pm.Deterministic('tau', T.nlinalg.matrix_inverse(cov))" + " cov = pm.Deterministic('cov', T.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))" ] }, { @@ -245,9 +234,9 @@ "outputs": [], "source": [ "with model:\n", - " mu = pm.MvNormal('mu', 0, tau, shape=2)\n", + " mu = pm.MvNormal('mu', 0, cov, shape=2)\n", " \n", - " x_ = pm.MvNormal('x', mu, tau, observed=x)" + " x_ = pm.MvNormal('x', mu, cov, observed=x)" ] }, { @@ -277,11 +266,18 @@ "collapsed": false }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n" + ] + }, { "name": "stdout", "output_type": "stream", "text": [ - " [-----------------100%-----------------] 4000 of 4000 complete in 5.0 sec" + " [-------100%-------] 4000 of 4000 in 29.3 sec. | SPS: 136.6 | ETA: 0.0" ] } ], @@ -318,9 +314,9 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAACJCAYAAADAHsIyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl0XOV9wP3vnX3XrpFkSd6NbRyW4IQ0uHFix7QNmNUh\nhBhahYTkpSSNU0gTEiecF4JDTg8tObQUN8EBn9Z9wbg4YclmgilLIKQUs3m3ZUmWRhrNvs/ce98/\nRhpLSPJoGcmS/Pv8Y8/oznN/88z2/O6zKbqu6wghhBBCCCGEmBDDmQ5ACCGEEEIIIWYDSa6EEEII\nIYQQogQkuRJCCCGEEEKIEpDkSgghhBBCCCFKQJIrIYQQQgghhCgBSa6EEEIIIYQQogQkuRJCCCGE\nEEKIEpDkSgghhBBCCCFKQJIrIYQQQgghhCgBSa6EmKA1a9bws5/9jPXr13PhhRdy55134vf7+dKX\nvsRFF11ES0sLkUiE1157jdWrVw957KuvvnqGIhdCCCHy5LdMiNKQ5EqIEvjtb3/Lo48+yq9+9Ste\neOEFvvzlL3P77bfz6quvomkajz32GIqinOkwhRBCiBHJb5kQEyfJlRAlsHHjRiorK/F6vaxcuZIL\nLriApUuXYrFYWLduHe+///6ZDlEIIYQ4LfktE2LiJLkSogSqqqoK/7darUNuJxKJMxGWEEIIMWry\nWybExElyJcQUsdvtpFKpwm1VVQkGg2cwIiGEEGJs5LdMiNOT5EqIKTJ//nzS6TR79+4lm83y0EMP\nkclkznRYQgghxKjJb5kQpyfJlRBTQFEUXC4XP/jBD/jud7/L6tWrcTgc1NXVnenQhBBCiFGR3zIh\nilN0Xdcn8wRr1qzB6XRiNBoxmUzs3LlzMk8nhBBCFPXcc8/x4IMPcvToUXbu3Mm555477HEvvvgi\n9957L5qmsWHDBm655ZYpjlQIIcRMYpqKk2zfvp3y8vKpOJUQQghR1JIlS3jwwQf5/ve/P+Ixqqpy\n9913s23bNrxeLxs2bGDt2rUsXLhwCiMVQggxk0xJcjXJnWNCCCHEmIwmQdq3bx/Nzc00NjYCcNll\nl7Fnzx5JroQQQoxo0udcKYpCS0sL11xzDY8//vhkn04IIYQoCZ/PR319feG21+vF5/OdwYiEEEJM\nd5Pec7Vjxw5qa2sJBAK0tLSwYMECVq5cOeQ4Xddl128hhBAl09LSgt/vH3L/pk2bWLNmTdHHj+c3\nSX7LhBDi7DbpyVVtbS0AlZWVrFu3jn379g2bXCmKQk9PdLLDmZCaGrfEWALTPcbpHh9IjKUy3WOc\n7vFBPsbpatu2bRN6vNfrpbOzs3C7q6sLr9d72sfMhN+y6WAmvLfPNKmj4qSORkfqqbhS/pZN6rDA\nZDJJLBYDIJFI8NJLL7FkyZLJPKUQQggxJiPNC16xYgWtra20t7eTyWR49tlnWbt27RRHJ4QQYiaZ\n1J4rv9/PbbfdBuRXXVq/fj2rVq2azFMKIYQQRf32t7/lnnvuIRgM8pWvfIVly5bx05/+FJ/Px+bN\nm9m6dSsmk4nNmzdz8803F5Zil8UsigtG0xxqD+G2m7GYjZhNBhprXRhkuKQQkyISz2C3mjCbZPva\n6WBSk6umpiZ27949macQQgghxmzdunWsW7duyP1er5etW7cWbq9evZrVq1dPZWjTXiyZxWkzjTi3\nrNUXRdN1wolM4b5ANE2Z0wKAooDDZRv3+XOqhqrqWC3GUR2v6zon/XFsFhMVbisGw8hJnqbpp/37\nbJTNaYCO2TS6+hyLdFYlFE1T6bHN2IZ/MJrG7TBjMp6Z+NMZddj3uqbp6Oi0dsXoDiUoc1hYNq+y\n8PdsTuNIRxijUaGyyjXk8WOZH9rZG8dsNFBdbh//EzmLTMlS7EIIIcTZKJvTONEdpbnWNSmN17Ho\nDaewWoy47OYxP7a9O0Y0kaGyzMaxzggNVU6avUPnKBxsC5HK5ACYX+fBYjZyoC1IKpMr3A+QeN9H\nc7VjUCy6rqPDaXu4NF3nrcN+sqrGooayUTX2osksbT35KQreCgfz6z1DjkllcoRiGU74oljMRlbM\nr5yUxnQ2p6IoSqHsZDpHMJpG13Ui8Qxup4XGmqEN4bHq6InhD6dYNrcCVdNp645R5bFhteR7Ett7\nYqhqPpEMRFJouk5TrZs51c4Ry9Q0nVZfFJvFSH3V0OP84SQGRaHScypxPt4ZIRhLk0jnsJiN1FXa\nMRrGXq+qppFI5XDazZPeAxqOZzjeGSGdVdH6hgxXuKyc01wBQCKVxRdM0htOsXRuBS67mY6eGDqU\n5LUbKBhNc6AtWHhtUpkc+0+EMBoUkulcIT6AcCL//u3/XAYiKULxNADReGZQue3dMU72xqmrdJDO\nqlSX2XFYTYUkLpbMYlAUVE3DYjLS6svP16oqs52RBXsiiQy+QAJV1fFWOqhwW0f92HRWpc0Xo6Ha\nicM2NWmPJFdCCDGDpTL5RosMuRqb5557jgcffJCjR4+yc+dOzj333GGPW7NmDU6nE6PRiMlkYufO\nnWM6z4nuKD2hJLmcVmicfZCqaUUbnDlVK8wNS2VUukNJ4sksVnO+MRSMpTEoCgZFoabcTmOtk3RG\nxWg05BM8X5RIX0/SivlVRROseCpLV2+CploXbT0xekJJIJ+oAPSEkjR73RxqDxGMpqmvclLhthKI\npgBwWM14Kx0AnNNUgcGgYOnruXjrSH4Fx5P+OEuaygvnfPtoL4l0Dm+Fg5py+6AY/aEkXYEEzXVu\nsqoGQG8kRTieoarMhsVkpDMQx1txKmHrDiXpDSWxWk41dVIZddDzPHIyjKrqhOMZVE3rOybHobYQ\nFR4b6YyKw2aiZpgkLhBJcawzCuSTlMWN5bjsZpLpHAfaQpgMCsvmVRRe22xO481DfowGhQ8vqSGZ\nVjnaGSbWV6eQbyDHk1mqymy0+hOY0fGHk6iajqbp2CwmljSVYzYZ0HWdZFrFajEMef/0J5P/e6jn\nVLx9r81I2rqjlDktI743jnZG8Ifz74P+XsB+xzoj+IIJAFaeU4vJaEDTdYKxfOO+/289wST1VY4h\nPVnprEo0kcFpM6MoEE/mqPBYC99r/b0zTTUu5pQ4gfmgQCRFcsCFAMh/vo50hGmqdXG4I0winf/7\n4fYw8xs8hfqu8tiwW0fXtI7EM/jD+cS2zGnBajHicVgGx9L3mrV1R0mksvRGBr+GLpuZWOrU++dk\nb5yqMhtOm7nweQfIZFUG/kL09iXUJ3vjhdsGReHCxdVEE1kOtoeGjTmZzuGw5d8fmqYTiqXRdB2L\nyYjHaRn2McUEIimOnIzQVOvC47BgNimDLkSpmsaBE6HC5zMUTxcukui6zpGTETJZlXl1HuxWI5lc\n/rtS10HX4XBHiEQ6hz+SpK7SQSiWwWRUWD63ctJ6qSW5EkKIGSiRyvHQU2/z7vEgFW4rt13zoWGv\nyIvhLVmyhAcffJDvf//7RY/dvn075eXlRY8bjqrmE6J0dnCjPqdq+MMpdD3fG1DtsdNQ7SSeyqIo\n0N4TBx3OaS4nnsxy+GR42PL7G3mQX6kwp2l0BuJ0BuIjxnSoLUSlx0ZDtWPE3rT3jgdRNY1kJjeo\n8d9/pVzT8+/B/sZehz9Ghz/fwKyvdDKn5lTPxgevMq+YX8UJf4JUJsexzggGRaHJ6yo8F18wQW84\nhaIo6LqOx2kpNDLfOx4olNPfcA9G04Vjooksi+aU4bCZ6OiOkc6pMKCRGY6nyWRVVE3n6MkI0eTg\nK/oGRSkMaRw4rHFgcpXJqoTiGY72vSY2s4lUNv9czp1XSTSZLfTSHeuMUuGyYrUYOXoyjKbraKrO\ne8eDhXO77GZqy+0c7YwUnlcwlsbjthOJ5pOZfBKtEE1m+NPBbqrL7IVEx2U3s2J+1aDnYTYayKra\noMZ3tceOP5IsHDPX6y70SPQf/86xXubXe7BbTEMay+HYqfo40Bbk/IXV2K0mdF0vJE+QHxZqUBR6\nw0OTuVQ2x7GuCMe6IlhMRpbNrcBuNXG0I0w4kUFBQVHy77NFlFFdZiedUekOJQqvdX9y1d4dI57T\ncZpK10AORtP4ggkUFM5bWIUvmKAr0JcYhpNEE1lS2VOfuVQ2x/utp96T7x4L4LCZsJiMLGosG1J+\nIJIiEE1jt5po746R76ul8Fp+dJm3kFDmVK1wUQMYlFgtaSzH47RgMhrIZFUiiQyHO/LvxyMdEcqc\nlkHHp7MqNgO098QIxdJDkkfI1/mfDvZgs4ycGqSzGg5b/jOw/0SIRPrUd8OcahdNtfnXJpnOcdIf\nJ933WVs2t6LQW5vOqoTjGcqdFixmI6FY/sLG8a78+9+g5C9U9H9vJNMqqqbhsJqpq7RzvCuKL5jA\najZy0h8n15d0HWwPoWk6mdzg79qB+l9LyH93jqcXfzQkuRJCiBno8d8f4t3jQeZ63ZzojrL1l+/x\nwy9dfNbNFxmvsSxMMdJqgqPR36GY6BvC4wsk8leV4xna+5IRAH8kOajh2y8QTZPu622pcJ2aL+Sy\nm1EUhUQqV2h41pbbqaty0NoVJZNVyWl6oZHvsplpqnVxrCtKKpOjMxAnnsoyp8aFw2rkcHsYVdOx\nmI1YzcbCVeL+xGphQxnHOiOF5ErVNPYdHbyHmMdhwWYxUVflOO2QOpfdjMdpoT2aLCRUdX29XP2x\nDrwaP7DHxWE1YzQoVHqsZHMaJ3vzjav+Y1KZHO8c68ViMpLr6+GqLXdgNhkKyd/A3pyBHFYzKxZU\nEoqmUTWdjp54oSF9sC2Ur3udIa/ThxZW8sf93cRTWTp744OGTfnDyULDeaD+xKq23EF9lQO71YTF\nnI+5v5E80IWLa0imc7x3PEhWVQeVGUtmCURSnPTHUTUdo1Ehq2qYjUaaal28fyIIwKLGMhpSzsLr\nVlthL7yHGqod7G8NFZJEgEq3jUWNZSTTOULRNFl1cKP1rSN+zp1XSWvX4CW+ByYEZU4r8WS20ACe\nU+0qvA6ZnMpbR/wsm1tJJJF/vXXyPQ5AvocolWPgx29gz2O7P0YkrbK8aWgSo2l6obzRDkOMJDIc\naMvXlc1ixG41Ma/Ow1yvm5yqse9Ib+H9MLdv6F1/cgr5pCCnaYUeo4aUo9DL0++ELzYoOav22AnH\nM4W6jSaypNI5kn3DVEcycOilxWykusxOpdvG6/t9JNLZQtJjMRnJ5FQC4RRWQ763eOBQx2avm7eO\n+DEbjYUYBg7fXdJYTntPnAq3lQ5/jHRWJZvTePdYIH/hAgqJfoc/hj+UxGoxoigK4b4hiQBvHOim\nwmXFbDIWvq9cNjNL51aQHnA+q8lIOqfS1h0l0jeUMRjNl1NXaae2Iv9Zefd4gBPdg993/XGbjUbK\n3RYMikIgMvR92y/Zl1x1h5K0dkX5TAmXYpfkSgghZphoIsPLb3dRV+nge399EY8+d4CX3u7kQFuI\nZXOHH3omxkdRFFpaWjAYDFx//fVcd911pz0+mc5xuD1MVZmNMqel0MiD/NC2/sZYhSt/VbbKYyOX\n04ilcoWExmE143Ga6QokaO+OYTEbUMhfzR0ueZ5T4+SkP86cGicmo6Ew1E7XdbqDSTQ9P0/BoChU\nujOc7M03QiKJDJHWALXljlO9NAOSmoHKXVYuXFxNNqdhNBrY3xosXP22W0yct7BqTHMxmuvcxGOp\nQu/Tm4fzCU9DlZPaCjvhWAaL2Ug0kSkMXap02wYNIwQoc1kLiYbVZCSWzBKKpwtXrwfOsepv1Dtt\nZqzmfOO5ymNl39FezEYjS5vLB80ZCsXShYbwB4fUOW1m4qksNrMJo8HAOU0VHGgLFoaHjcRqNhZ6\nMZc2V1DuOtWrV+6yDunhhFPvFbvVxEXn1PCnA92FoZH9jndFyeRUzEYDyUz+b1lVxWEzo6BQW5Hv\neXPYTCyfV4mu5ZOOgUntBYur8YeTpLManf44gWiKEz4DsUR2ULI70InuWOFv5y+sJpVR6QklKevr\nlSh3WTjYFiq8ztVlNnKqNqinq7/nx24xDelR6X/t4VSikEjlsJhPJUzHOiNUuq1kchqZnEY6o9Ib\nSRU+TwvqPThsZjRdx9p38QDyvUj+cAqr2Uiz10WsL8Erc1hYMOdUwqYo+WFqdVVO2rqjVLpt1Ffl\nh9129MQxmwwsaPDgtJvzQ+raQn0XH3pxWM0YDJBKq+hQiKnfwjn59+ah9jCBaGpQL9hAlW4bZa58\nwjDSQi4Gg1LoRQUwGQysmF/Jsc4IoVi60AvaUOWk3G0t1MXHlteh6zqvve8bVF7/8OFKj41wPEOH\nH453RQo9TP0W1HvwVthp7YoST+UKSZfJYGD5vAr2He0FTvU094ulsrx12F9Ino0GA4say2jrjhFJ\nZAb1ygOFRNXtsHBOUwXJdA5FyX8uypwW4qkcmqbjtJsKCXWzV6MrkKTcZcFuNeELJIgmsgSiKY6c\nDJPOqIMucpWKJFdCCDHDvHnIj6rpfOL8BowGAxcv9/LS2528ddg/a5OrV155haNHj7Jx40b8fj/R\naJT58+ef9jEtLS34/f4h92/atIk1a9aM6rw7duygtraWQCBAS0sLCxYsYOXKlSMe//q7XQB0hlJ0\nhlKgGPC48w1bfyxb+L8KVJQ7+Pj5c/LH++Mc7OthWLnMi9Nu5t2jvfj7egGqKs14vSMP+2xsGH7Y\nYm3t4MeUlTuo6I6RyuToCebLTqk6Hred8xfXYDYZCMfSnPTHiff1WpW7rDTUD+4daGwoR+1r4BvH\nufDDqouaae2KcPzkqcZa85wKairsNPXdjiWzpNT8EKkFzRXUfGDBhZoaWPSBcnOqRrivIVfmshZ6\n0VavtJJIZan7wGIMDfXlw65k53TbePNgD3NqXFSX2TCZDIUE0mo2DlqcoqbGTSStFuoMwGI2kMkO\nbkwvmFNGOqNiNhmYO8wwXlXTOdKVb+zNb/BQ5qrBYTMPim+ZqhfqzGhU8qvG6eAyGfjYinpiiQz/\nd7AHRYGG+jK8Xg8GhULsNUPOOrA+81fvl2Zy/O/+bhJZDYPZhMdsorHWRTan4a1yYDQYePNANwAe\nt50Lz6ktDCP84G6mkYyGqvQtKOL10NxYQU7VaO2M9K1UmH8eboeFA61BnHYzFy2tJZ1Vee9ogGgi\ng8looMJjpSeY5HhPnDKXpfBZSuZ0OoIfSH6dp5JWfywLsVOvS/+wu3wPjkIuq/F+ewSHzYTHbeei\nvs/fcHVz/lLvoIsIcxrKBt32AnMbyzl4IlT47AI4TCbcDgso+QswuZyGzWIsfD5dHjt/fC+f3FjM\nBpbOrcTcl/yMZZXFjzmttPmi2K0mvJX5nrM6r4eeUBJNK0dRFGoq7MP2LK8rd3CkPUwgksJpNzOv\nqaLw3CqrdHIo5FQNRVEKz62uylH4XlowtwpN0/GHkmRyKm6HhTKXFc1o5MSA3k2Xw8zSuZW8MSCZ\na/K6Cwnt3MYKIvEMvZH8sOmTPfkEu2lOeSHusWz4W+c99d3lrfWgqhqH2kOEomkiabXwPiolSa6E\nEGKGeftI/krghUuqgfxwH6NB4dAIk5Bnuocffpi9e/fi9/vZuHEj2WyWO++8kx07dpz2cdu2bZvw\nuWtrawGorKxk3bp17Nu377TJVVWZjWPtwUH3NVQ5B12BL5Rd7qCnJ9/oyKZzhSvLkXCCRMxAtcuM\ny9zXmLcYC8dOlNtiwG2xYDcqvHMs/14yKArJeIqs0YAZmFvt4EhHmEA0zdwaR8nO3a+mxk1PTxSr\nouP1WPE4LRgMQC435FxLGtzEklmMmjrmOIKBwVe/jTCmMpbU5xtxyXi6yJGgZk69hgAfXeoFJd9D\n0j/UL5O0F5akHymO/jKa6xrp6YmS+cC8MIdRoaHChslowG41ks1p5FQdi8lAoDefxNS6LThspgm9\nbk1Vdk76E2i6TpXHhsdqBKuRXCpLRtexKPnhjZoGiViSdGL4OjKoauE5hQLxQu9rf3n9dFWlymWm\n0m3D39ebMKfSRsxmxGI20BtOnfqM9P07cF4aQFOtG5fdTCqdn9sF+SGnSt9yDolUFhWIJbKF+U79\nItF8b0sskiQRO/3iH8XUui2UWY2FXlVv5amhsvnPVZK0efBnuqnKTjan4XFayKWz5NJZhg4oLa7G\nlX9/xaMp4n09rnV9nzd0neBp5mPWui3UuvOP93+gR6fKeSrhrHTk0weT0TDkPaYAVgUyyQw9yQwu\ns4HlTWXkVI2Onjj1ZVYSsRSL691EExkURcFhGvp5KLMa0XQdv5JPOE8X91hVOcwYNY39fZ8X0zhW\nsDwdSa6EEGIG0XSd/SeCVHlseCvyQ3qs5vzcirbuGDlVO2P7sUyWp59+mieffLIwJK++vp5YrHRD\nOUaaU5VMJlFVFZfLRSKR4KWXXuK22247bVkrFlYTi6boCQ9s8LkIRNOFOQEfXeolHM/gdpxqrNit\nJhbUezAMWKbboChD5myUksNmospjQ9N05ta5h7xvFs4pY8EY9sIZD6PBQFVZ8T2vJmvieSk11Tr7\nJuunWTSnrJBEVJflE6poIjuqFdXOX1hddPXPgcMJjZahn/dS7Edks5hY0DB8b6lBUQoLNmi6ftp4\n3Q4LCgo6p99DTFGUwnfawPP011l9lROXw0Kob9EJs9HABUtqCAbjdAfzKyrWVzowGBQ8DjOZnEaV\nxzrsZyinavRGUuRyGm09MRxWE/PqPVjNxpLNW7VajMOubFjhttITTlJTNvg1cjvGt9remTCe3xiT\n0cDculM9TmaTYdDcseEMfJ+VWpnTQm25g0giw6I5pT2HJFdCCDGDnOyJE0/luGBR9aD7m71ujndF\n6exbPns2sdlsWCylbXj89re/5Z577iEYDPKVr3yFZcuW8dOf/hSfz8fmzZvZunUrfr+/kEypqsr6\n9etZtWpV0bLn1rnxOC20dceY63WjKAoXLKrGF0xgMeUbb8Pt01L7gYblZOtflet0zsSeNjOVuW/1\nu+E2ZzWbjFR6RrfP2WiX8p4uRrMNxEXn1KBq418YBvJzisqcFsqclkIjvcxlJZPMML9+cAKlKMpp\nvwdNRsOpi1MWIxVu67j23xqPSo+N8xZUY7ee2X3vznaKoox48WCiJv0TrKoq1157LXV1dfzbv/3b\nZJ9OCCFmtf6hf4s/MLG/f+nrk/74rEuu6uvreeONN4D8b8rDDz/MkiUfnNkxNuvWrWPdunVD7vd6\nvWzduhWApqYmdu/ePeayTUYDNeX2IXsjffCqvJidJCEdymQ0cIb30B5RdVnp59wUM1Wb2YozY9LT\n9Mcee2xMS94KIYQY2aH2/NyNxR8YKtFQdSq5mm2+973v8S//8i8cOnSI888/n9dff53vfOc7Zzos\nIYQQYohJTZ27urrYu3cvX/3qV/n5z38+macSQoizwqH2MC67edASygD1VfnbAzdJnC1qa2vZtm0b\niUQCTdNwuWZXz5wQQojZY1KTq3vvvZdvfetbJZ14LIQQZ6tAJEVvJMWFi6uHDD0qd1sxmwx0B8ez\nvtT09sILLww71Gr16tXjLvO+++7jhRdewGw209zczJYtW3C7hy7v++KLL3LvvfeiaRobNmzglltu\nGfc5hRBCzH6Tllz9/ve/p6qqiuXLl/Paa69N1mmEEOKscbBvvtVwqycZlPxGob5gYtgJ9TPZz372\ns8L/M5kM77//PsuXL59QcrVq1SruuOMODAYD//iP/8jDDz/M7bffPugYVVW5++672bZtG16vlw0b\nNrB27VoZ6i6EEGJEk5Zcvfnmmzz//PPs3buXTCZDLBbjW9/6Fj/+8Y9HfMxYNgU7UyTG0pjuMU73\n+EBiLJXpHuPA+Np6jgJw8Ycaho27sdZNR08cq8NKmWvoanQz1fbt2wfdPnz4MD/96U8nVOYll1xS\n+P/555/Pr3/96yHH7Nu3j+bmZhobGwG47LLL2LNnjyRXQgghRjRpydU3v/lNvvnNbwLw+uuv88gj\nj5w2sYKxbex3JvRvejidSYwTN93jA4mxVKZ7jB+M761DPVjMBjzW4TeU9fTtBXTgqJ/59ZOzxOxw\nMU61RYsW8e6775asvCeffJLLLrtsyP0+n4/6+vrCba/Xy759+0p2XiGEELNP0eTq5ptv5gtf+AKf\n+tSnZtUwEyGEmEmiiQwn/XGWza0YcQPHmvL8how9oeSUJVdTYeCcK1VVefvttzGbi28q29LSgt/v\nH3L/pk2bWLNmDQAPPfQQZrOZ9evXDzluvL950703dLqQeipO6qg4qaPRkXqaOkWTq8997nM8+uij\n3HPPPVx//fV89rOfpaKiYkwn+ehHP8pHP/rRcQcphBBnu/4l2M9pGnnT1/79Wvzh1JTENFUGzrky\nmUw0NzfzwAMPFH3ctm3bTvv3Xbt2sXfvXh599NFh/+71euns7Czc7urqwuv1Fj3vdO4NnS6me6/x\ndCB1VJzU0ehIPRVXyuSzaHJ16aWXcumll3LkyBF27NjB5ZdfziWXXMJNN93EihUrShaIEEKIkR0e\nYX+rgarL8j1Xsy25+uCcq1J48cUX+dnPfsb27duxWoefn7ZixQpaW1tpb2+ntraWZ599lvvvv7/k\nsQghhJg9xjTnStd1TCYTVquVf/iHf2DVqlWykaMQQkyBwx1hDIrC/IaRh/tVFZKr2bEc+0hLsPeb\nyGqB99xzD9lsli9+8YsAXHDBBdx11134fD42b97M1q1bMZlMbN68mZtvvrmwFLssZiGEEOJ0iiZX\nv/rVr/jP//xPenp62LhxI88++yxOp5NcLsell14qyZUQQkyynKpxvCtKY60Tm2Xkr2271YTDaqJ3\nlvRcDRwOOJyJJFe/+c1vhr3f6/WydevWQeeYyHmEEEKcXYomV7t27eLLX/4yq1atGnQF0WQy8d3v\nfndSgxNCCAFt3TFyqsbChpGHBParKrPRHUzOir2uJmM4oBBCCDGZiiZXDz/88JAf6P4f7bVr105a\nYEIIIfKOdUYAmFdffMJtlcdGW3eMeCqHy158Rb2ZIhqNcuzYMdLpdOG+j3zkI+Mu77777uOFF17A\nbDbT3NzMli1bcLuH1u+aNWtwOp0YjUZMJhM7d+4c9zmFEELMfsOv5zvADTfcQDgcLtwOBoNs3Lhx\nUoMSQghWkeoDAAAgAElEQVRxyvHO/CpPC0axvHr/vKvZMjQQ4Nlnn+Xyyy/npptu4nvf+x433XQT\n995774TKXLVqFc888wy/+MUvmDdvHg8//PCIx27fvp2nnnpKEishhBBFFU2uEokEZWWnhqJUVFQQ\nj8cnNSghhBCnHO+KYDEbqK9yFj22ypNPrgKR2ZNcPfTQQzz55JPMmzePX//61/z0pz+d8Gq1l1xy\nCQZD/ifw/PPPp6ura8RjdV2f0LmEEEKcPYomV5qmkUgkCrfj8Ti5XG5SgxJCCJGXyaqc9Cdo9rox\nGIrPoar05JcV98+i5MpkMlFdXY2qqkA+MXr77bdLVv6TTz454qIViqLQ0tLCNddcw+OPP16ycwoh\nhJidis65uvzyy/niF7/I5z//eXRd57/+67+G3cleCCFE6bV1x9B0nXne0W1wOBt7rqxWK5qm0dzc\nzPbt22loaCCZLL7cfEtLC36/f8j9mzZtYs2aNUC+V8xsNo/4u7Zjxw5qa2sJBAK0tLSwYMECVq5c\nedrzlnIzytlM6qk4qaPipI5GR+pp6hRNrr7yla9QW1vLnj17UBSF66+/nquuumoqYhNCiLPe8a78\nfKu5daP7YazsS656I+kiR84cf/d3f0csFuP222/nrrvuIhqN8oMf/KDo47Zt23bav+/atYu9e/fy\n6KOPjnhMbW0tAJWVlaxbt459+/YVTa56eqJFYzvb1dS4pZ6KkDoqTupodKSeiitl8jmqTYSvvvpq\nrr766jEXnk6n2bhxI5lMhmw2y9q1a/n7v//7MZcjhBBnq9YxJldlLgtGgzKrFrS48MILsdlseDye\n0yZCY/Hiiy/ys5/9jO3bt2O1Woc9JplMoqoqLpeLRCLBSy+9xG233VaS8wshhJidiiZXfr+f7du3\n09bWVphrpSgKDzzwQNHCrVYrjz32GHa7nVwuxw033MAbb7xR9KqfEEKIvFZfFIvJQH2VY1THGxSF\nCreVQHT2JFef/OQnWbt2LVdffXXJfj/uuecestksX/ziFwG44IILuOuuu/D5fGzevJmtW7fi9/sL\nyZSqqqxfv55Vq1aV5PxCCCFmp6LJ1de+9jUWLVrExz/+8cLKSmPZmNJutwOQzWZRVZXy8vJxhiqE\nEGeX/GIWcebVuzEaiq4/VFDlsXGgLUQ2p2E2jf5x09Vzzz3H008/zb333kssFuOaa67hqquuoq6u\nbtxl/uY3vxn2fq/Xy9atWwFoampi9+7d4z6HEEKIs0/R5CoajXL33XeP+wSapnH11Vdz4sQJPv/5\nz7No0aJxlyWEEGeT450RVE1nnrf4/lYD9c+7CkZT1FaMrsdrOquoqODGG2/kxhtv5MCBA/z85z9n\n7dq1vPvuu2c6NCGEEGKQosnV4sWL8fl8eL3ecZ3AYDCwe/duotEoN998M6+99hoXX3zxsMfOhJVM\nJMbSmO4xTvf4QGIslekc4x9fOQbAisXVY4qzud7Dq+92oRmM0/r5jYWmabzwwgs89dRT/PGPfxzX\nPOCB/vmf/5nnn38eRVEoLy/nRz/6EfX19UOOe/HFF7n33nvRNI0NGzZwyy23TOi8QgghZreiyVU4\nHGb9+vV8+MMfxmKxAKOfczWQ2+1m9erVvPPOOyMmV9N9JZOZsNqKxDhx0z0+kBhLZbrHeKQ9DECl\n0zKmOG2m/NDtIycC1JUNv1hDqUxF8rZlyxaeeeYZFi9ezNVXX82Pf/xjbDbbhMr80pe+xDe+8Q0A\ntm/fzoMPPsgPf/jDQceoqsrdd9/Ntm3b8Hq9bNiwgbVr17Jw4cIJnVsIIcTsNap9ri6//PJB9412\nzlUgEMBkMuHxeEilUrzyyiuy0pIQQozS0Y4QJuPoF7PoV1VYjn12LGpRVlbGE088MWzP0ni5XK7C\n/xOJBBUVFUOO2bdvH83NzTQ2NgJw2WWXsWfPHkmuhBBCjKhocnXNNdeMu/Cenh6+/e1vo2kamqZx\n5ZVX8md/9mfjLk8IIc4WqqbR2hVlTrUTk3Fsi1IU9rqaJcux33rrrZNS7j/90z+xe/dubDYbjz/+\n+JC/+3y+QQmd1+tl3759kxKLEEKI2aFocnXs2DHuvPNOfD4fzz//PO+++y7PP/88X/va14oWfs45\n5/Df//3fJQlUCCHOJr5AkmxOo6nWVfzgD+jvuQrMkp6r8WppacHv9w+5f9OmTaxZs4ZNmzaxadMm\ntm7dypYtW9iyZcug48ayMu5As2We22STeipO6qg4qaPRkXqaOkWTq7vuuouvfvWr3H///QAsXbqU\nO+64Y1TJlRBCiPFp74kB0FjjHPNjrRYjLrsZfyRd6rBmlG3bto3quMsvv3zYhSq8Xi+dnZ2F211d\nXaNa3Gk6z+ObLqb7fMfpQOqoOKmj0ZF6Kq6UyWfRsSbRaJTVq1cXruAZjUbMZnPJAhBCCDHUSX8c\ngIZxJFcAVWU2esMpNF0vZVizxvHjxwv/37NnD8uWLRtyzIoVK2htbaW9vZ1MJsOzzz7L2rVrpzBK\nIYQQM03R5MpkMpHJZAq3fT4fRqNxUoMSQoizXWdvAoCGqvElV9VlNnKqRjSeKX7wNOf3+7n99tu5\n4YYbANi/fz87duyYUJn3338/69ev58orr+T111/n29/+NpD/jevvxTKZTGzevJmbb76Zyy67jM98\n5jOymIUQQojTKjos8POf/zxf+9rXCAaD/OQnP+Gpp55i06ZNUxGbEEKctTp7E9gsRirc41tKvX/e\nlT+cosw1ucuxT7bvfe97fOITn+DAgQMALFiwgDvuuIPPf/7z4y7zJz/5ybD3e71etm7dWri9evVq\nVq9ePe7zCCGEOLsU7bm6+uqr+fKXv8xll11GKpXixz/+MevXr5+K2IQQ4qyk6zrdoQQN1a5xL6pQ\nXXYquZrpuru7ueGGGwqjJiwWy7jrRQghhJhMRXuuAFauXMnKlSsnOxYhhBBAKJYhk9WoH+d8K4Dq\nMjsA/nCyVGGdMUajEX3A3LFIJDLhMv/5n/+Z559/HkVRKC8v50c/+tGw+2itWbMGp9OJ0WjEZDKx\nc+fOCZ9bCCHE7FU0ubr22muH3KcoivzATJJgKsT/du+jI5ZfoarR3cBHvBfitox9OWYhxMzUHeyb\nb1U9geSqfPbsdbVu3Tp+8IMfEIvF2LVrF//xH/8xoT0YAb70pS/xjW98A4Dt27fz4IMP8sMf/nDY\nY7dv3055efmEzieEEOLsUDS5+ta3vlX4fzqd5plnnqG2tnZSgzobqZrK08d+w54TL6LqauH+17r+\nxC+P/Ir1C/6CTzX9uQyFEeIs0BPKJ0Teyon0XNn6ypr5PVe33HILu3fvJhwOs3fvXm666SauvPLK\nCZXpcp26YJVIJKioqBjxWF1WXBRCCDFKRZOriy++eNDtP//zP5/QJGIxVFbL8e9vP8a7vfupslVy\n6dxPsqRiITrwXu8BfnV8D08efpoj4VZuWv45rEbLmQ5ZCDGJ+hOiukrHuMuwWUy4HWZ6ZkHPFcCV\nV1454YTqg/7pn/6J3bt3Y7PZePzxx4c9RlEUWlpaMBgMXH/99Vx33XUljUEIIcTsMqo5VwNFo9Fh\nd7wfTmdnJ9/61rcIBAIoisJ1113HTTfdNOYgZzNd1/mP93fybu9+lleew80rNmIznVrZy+uo4SLv\n+Tzyzn/wfz1vE/jfIF89728os3rOYNRCiMnUvwiFt8oBmjbucmrK7bR2RdE0HYNh5vV633fffUPu\nUxQFXddRFGXQyIrhtLS0DPt7tWnTJtasWcOmTZvYtGkTW7duZcuWLWzZsmXIsTt27KC2tpZAIEBL\nSwsLFiwoOge5lJtRzmZST8VJHRUndTQ6Uk9TZ0xzrnRdp62tjZaWltEVbjJx5513smzZMuLxONdc\ncw2XXHKJ7BMywCsnX+ePvv9lnqeZL3/oJizGoRs0eyxubrvgS+zYv4s/dL3BfX/8CS3n3sDiigVn\nIGIhxGTrDSdRFKgqsxMKxsddTk25naMnIwSjaar6hgnOJA6HozAU+oND80YzRHrbtm2jOs/ll19e\n2Nvqg/qHwVdWVrJu3Tr27dtXNLnq6YmO6rxns5oat9RTEVJHxUkdjY7UU3GlTD7HNOfKaDTS1NSE\n1+sdVeE1NTXU1NQA4HQ6WbhwId3d3ZJc9fEnA+w8/EvsJjs3r/jCsIlVP5PBxMZln6Xe5WX3ked4\n4M2HWdP856yf/xeYT/M4IcTM44+kKHdZMZuK7pZxWjXlp+ZdzcTk6mtf+9qklX38+HHmzZsHwJ49\ne1i2bNmQY5LJJKqq4nK5SCQSvPTSS9x2222TFpMQQoiZb8xzrsarvb2d999/n/POO68k5c10uq6z\nY/+TZNQMf738eiptI0+m7qcoCp9uXs2Csnk8+t5/sefEi+wPHOKWD/011fbKKYhaCDHZcqpGMJpm\n0ZyyCZdV07cce3coydK5xb9jpqtYLMa//Mu/8NprrwHwsY99jFtvvXXQohRjdf/993Ps2DEMBgPN\nzc3cddddAPh8PjZv3szWrVvx+/2FZEpVVdavX8+qVasm/HyEEELMXopeZBmkj33sY4Ux7kMerCi8\n+uqrRU8Sj8e58cYbufXWW/n0pz89/mhnkd8ffYWH/ridC+tX8O0/v3XMqwCmcmkee3Mnvzv6EuU2\nD//v2tupc9VMUrRCiKnSHUhw8w9/y+oLG7l940UTKuvtI37u/NeX+ezaxdz0meUlinDqff3rX8fl\ncrFhwwZ0XWfXrl1Eo1F+8pOfnOnQhiXDb4qTYUrFSR0VJ3U0OlJPxU3psMDrr7+ecDjM5z73OXRd\nZ+fOnXg8nmH3vxpONpvl61//OldccUXRxGq6v/ClenMGUyF+/uYT2IxWrpm/Hr8/Nq5yrp53BR5D\nObsOP80Pf/8g3/7I15lTV3XW1ONkme7xgcRYKtMxxoMnggA4rUZgYt+LFvIXxY53hCfteU7FJOlD\nhw7x3HPPFW5fdNFF/NVf/dWkn1cIIYQYq6ID+l988UV+8IMfsHTpUpYtW8bmzZvZu3cvjY2NNDY2\nnvaxuq7z3e9+l4ULF/I3f/M3pYp5RtN0jcfe+/9I5lJcveiyUQ0HPJ21zZ9gdePH8SW6efrob0oU\npRDiTAlE0gAlmSNV7s7P2+qe4Xtd9a/W1y8QCIx67m8xjzzyCEuXLiUUCg379xdffJG//Mu/5NJL\nL2Xr1q0lOacQQojZq2jPVSwWIxAIUFmZn9MTCASIx0e3etWf/vQnfvGLX3DOOedw1VVXAfDNb36T\nT3ziExMIeWb7xZFfcTB0hPOqz+WShtLMZ7tq4Wd417+fF9pf5urYOhSsxR8khJiWeiP5ZdirPBNP\nrgyKQm25ne5gsrB8+UxUXl7OFVdcwZo1a9B1nRdeeIGVK1dy3333jWpJ9pF0dnby8ssv09DQMOzf\nVVXl7rvvZtu2bXi9XjZs2MDatWtlUSYhhBAjKppc/fVf/zVXXnkln/rUp9B1nb179/KVr3xlVIWv\nXLmS/fv3TzjI2eLljtf47YkXqLFXceOy60rW0LEYLaxf8Bdse28Hu957jmvnX1WScoUQU68/uar0\nlOYiSW2FnQ5/nGgyi8cxMzcgX7RoEYsWLSrcvu666wbtdzVeW7Zs4Y477uDWW28d9u/79u2jubm5\nMErjsssuY8+ePZJcCSGEGFHR5OoLX/gCF110Ea+//jqKorBx40bOOeecqYhtVvm/nnfYcWAXTrOD\n/+f8L+Iw20ta/oe95/PMsd/yP62vc+mcT+O2jH8VLSHEmdMbLl3PFYC3wgFAdyA5Y5OryViS/Xe/\n+x11dXUsXbp0xGN8Ph/19fWF216vl3379pU8FiGEELNH0eQKoLGxkVwux4oVKwBm9PCSM+Fo+Djb\n3v1PzEYzf3v+zXgdpV/Vz6AYWN10CU8c3M2rJ//IpfM+VfJzCCEmX28khdNmwm4d1ddzUbWV+Qs5\nvmCCRY0TX979TEgmkzz99NOcOHGCXC4HMKrhgC0tLfj9/iH3f+Mb32Dr1q088sgjhftGWhF3PKZi\nkY/ZQOqpOKmj4qSORkfqaeoU/fXeu3cv3//+9zEYDPz+979n3759/Ou//iv/9m//NhXxzXihdJit\n+x5D0zW++qG/Ya6nadLOdXHdh9l95Fle7fwj6+Z+UhJgIWYYXdfpDaeoq3KUrMy6vp6rrkCiZGVO\ntdtuuw2j0ci5556L1Wod9QW+bdu2DXv/wYMHaW9v54orrgDyPVTXXnstTzzxBFVVVYXjvF4vnZ2d\nhdtdXV2jWkhjuq1AOR1Nx5U6pxupo+KkjkZH6qm4KV2K/YEHHuCJJ57glltuAeC8887jxIkTJQtg\nNtN1ne3vPU40G2PD4itYVrVkUs9nN9m5uPFC/qf1dY6Ej7OofP6knk8IUVqRRJZMTqO6rHTDhvsT\nta7emZtcdXV18cwzz5SsvCVLlvDKK68Ubq9Zs4Zdu3ZRXl4+6LgVK1bQ2tpKe3s7tbW1PPvss9x/\n//0li0MIIcTsU3QpdsgvgzuQ2WyelGBmm9e7/pf9wUOcW7WUTzZeMiXnXD3vYwD80ffmlJxPCFE6\n/r4l06tLsAx7vzKnBZvFOKN7rhYuXIjP55u08gf2gvl8vsLFRJPJxObNm7n55pu57LLL+MxnPiOL\nWQghhDitoj1XLpeLnp6ewu3XXnsNj8czqUHNBhk1w+4jz2I2mPnckqunbIjeubVLcFtcvOnbx2cX\nX4HJUJp5G0KIydcTzidXNeWl67lSFIW6SgftPTFUTcNoGNU1tWnlb//2b/nsZz/L8uXLsVjyi3Io\nisIDDzxQkvL37NlT+L/X6x20n9Xq1atZvXp1Sc5ztshpOboTfrJaFk3XMBnMzHHVYVBm3ntPCCHG\nqmjL++///u+55ZZb6OjoYOPGjRw/fpyHHnpoKmKb0fa2v0I4E+Uv5q6hyj6xjYLHwmgwclHt+bzQ\n/jL7A4dYUb1sys4thJiY7mA+uaqtKO1qovVVTo53RfGHUngrSzefa6p85zvf4dOf/jTLly/H0Jcc\nypzS6etw6BixTGzQfbqu0expPEMRCSHE1DltcqVpGlarlUcffZQ338wPM7vwwgul56qIjJplz4kX\nsRltfLp56q94rvRewAvtL/OG7y1JroSYQSYruWqozidUJ/3xGZlcZbNZvv/9709K2Y888gg//vGP\n+cMf/jBkzhXk52M5nU6MRiMmk4mdO3dOShyzycDEalHFAg4Hj9KT7KXGUQUoKICuy3YhYvpK5lKF\nHtgKWxmVtqEXyRPZZMm31RktTddQUAoXmTJqBlXXsJtGN6Q8monhTwZocNVhNc7MLTqms9MmVwaD\ngTvuuINf/vKXMixiDF7v+hPRbIxL537qjHzw5nmaqbJVsM//Dhk1g0U+OELMCL5AAqNBKdkeV/0a\nqp0AnOyNcyGl3wpisl1wwQXs37//tHtSjUdnZycvv/wyDQ0Npz1u+/btwyZeYqj26MnC/5s9TZRb\ny6i0VxBIBnnXv7/wt9aMnbmW+dhMpdksW4xNTsuh6TpGxYDRYDzT4Uwr3YkeTkTaC7eDqSCOaju2\nAYlLbzLIsfBxGt0N1DmLryBaSsfCJ+hN9uK0OFlWmV8o7Z3e/Wiayoe9549q+O2JaDvJbBKDolDv\nrMNsMI04GiCWjZNVs5RZPTK0d5SKDgucO3cubW1tNDWNfQnx73znO+zdu5eqqip++ctfjivAmUbX\ndV5ofzm/71Tjx89IDIqisNJ7Ib9ufZ63/e9xkfeCMxKHEGL0dF3nZG+C2go7JmNpf8Dm9CVXHf54\nScudKm+99Rb//d//zfz58wfNuZpoL9KWLVu44447uPXWW0973HB7YM0kWTVLOBPFZXZOajKj6Rpd\n8fzCI/WuOmod1QA0uhowGUyFeuxJ5Pce60720OxuHPT4I6FjZLUcdc7aYXsLxqo3GSCZS2E2mKh1\n1IxqOKmmawBT0pD0J3vxJXowKAbimThV9irmlzVPuNxwOkpbtB1V1yi3egrbwGS1HIFkgLZoBwCK\nYuBD1cvkIuwA8WxyyH0pNT0ouepJ5t/DXfHuKU2uUrk0vcleAOKZODkth1ExomkqkE+EPJb8kuKa\nrpHVcsP2TGXULJD/LPYk/HidtTS55xT+vj9wCLvJRoOzjv29B4H8xZL+z7Q4vaLJVSwW44orruCi\niy7C4cgPJxntROJrr72WG2+8kX/4h3+YeKQzxKHQUTrjPlZ6L6DceuY27FzpvYBftz7P611vSnIl\nxAwQjmdIpnMsn1v6OZrV5XYsJgMdPTMzufrud79b8jJ/97vfUVdXV7Q3TFEUWlpaMBgMXH/99Vx3\n3XUlj2UidF2nK9GNxWAZcX5va7SdUCqE0+xkaeXiMc1X03WdSCZGPJtvyDnMDkLpMPM8TYWEqTcV\nABSc5nwbwWy0UOc4tcqwxWgZlET1J1dGZXCPSSKbJJyO9B3Te9rkqjvhJ56NY1SMzHHVD9v7klWz\nHAu3DoqjwjZ8D6SqqfSmArgtbo6Gj5PTVM6vObdI7YxdMpdCQSkkud0JP8lsEvpek95kL83uORgN\nRk5GushkT9XrWPgS3aRyKRRFoSfhR1EUjIqRzlhX4RiryUo6lyaQCtIZ78ZkMLK88pzT9mTltNyI\nC2Vl1Cxt0Q4a3Q1jHmqWUTNEM3EqbGVnvHckraZBUVhRtYzOuI/eZG8hGYF8r1X/0FdFUYhkokTS\nUeqctZO2iJima4TTEXyJ/AJzJoOJnJZjn/+9QmIFkMgmCslVR6wTX7wbgI84VwD5lb5VTUXVcoPK\n98W7aXQ1oOoqqq4Ry8SIZWKFzypAWs1MynMrRtd1DoWOouka8zzNBNMhAOqHSWp7k0GC6RAGxUCl\nrRyr0YLZYEZB4WDoCHaTjXmeiV+8KGbEd8GPfvQjvv3tb3PFFVfwV3/1V4OWXx/tF/PKlStpb28v\nfuAs8j8drwLwiTlnpteqX4Orjib3HN4LHCCcjlJmlZ25hZjO2rvzP9ZzapwlL9ugKDRUO2nviZFT\ntZL3jE22iy++eFyPa2lpwe/3D7n/G9/4Blu3buWRRx4p3DdS79SOHTuora0lEAjQ0tLCggULWLly\n5WnPO9bNKHVdR9U1jIqh8PuayCZRNRW3dejcpIya5WTER07L0ZPoRVU00OGc6iaOBFoJpsJ4rC68\nzmrK7WW05wy4LXZAo0vr4Ly60c/FDSRDdHV35DduMUBSj4EFMtY49eWNhFIRepP5Bl9vBtweO3PL\n51BXNvIwyk+UreTNzndxuE3UVJ+qK1NSw53rH0qfI24KM7d8DoqikFNzJHIp3BYnb/v2EyHW31bE\n7NapcrgJJELktBy1rvzV9f09R3B77JTb3IRSUbBnB51P1/V8XUZ9qJpKkF6SWhSTHUwYiZlCqJrK\nwsq5JVlAJatmOdixHwWFRe55dMV6MNp1GsqrObdmCX9oz89td1dY0HWdA11tAKxq+MiYz9WRs2Cw\nO6l2VOKL+UmS/35xe05NVVhUOZfDgVY0awaHkq9MZ7lp2PccQFe0myOBfLL68aaLCovL9DsebCOX\nTtGtneTDdR8CIJ3L0JsIUOOswmwceRufd3wHCOkRPHYrXvfYeoJKufkrwPGMETsemuqr8aQsvO1L\n4PSYqanIn+fEyeOD6jGk9JI0pmjNxPlo4wVjSg6DyTBZLYfNaMFldQ55bEbNcrj3GBajhW6tB8UG\nbpud5bWLaQufJJVLk1VPJUphgqyoXoiiKPg0BbcxH2drqIOLGvKvSSwdx52yY1AMhV5agBPZ46Ry\naZrLGgY9v34up3nQ5wcgp+bQ0DEpxiHvh9HSdZ1DvcfIqBmW1ywZUk5GzaInsyhAa+YY9H0Uz62a\nP+hCwIlQB/6EDyygAj41CSpYjGZqndUYbBppElRXuyZ9QaQRk6s//OEPAFxzzTVcddVVPPXUU5Ma\nyGwQzcR4q+ddGpx1LCibe6bD4WP1K3ni4G5e7/oT6+Z+8kyHI4Q4jba+5KqxZnIm+jfWujjeFcUX\nSDBnks4xWSKRCP/+7//O/v37SaVSQP4i32OPPXbax23btm3Y+w8ePEh7eztXXHEFkN/b6tprr+WJ\nJ56gqqpq0LH9+zxWVlaybt069u3bVzS56umJFv6v6zqBVIgKWxkKCodDRymzeqh1nJr7tj9wiFgm\nhsviYmnlYjJqln097wCwuGIhZVbPoOSvI9ZZGH430P8dO0hXoht0HT9hjtJBlb2SYDpcuLodJUmZ\nVjXq+cCdcT/R6NBhUr5sCEe2jMOh40RT+b9bTVasRgt6wkxPJjrkMf3yy7MbOe7rIhCM0+DyYjfZ\n2dfzPpkBV8ffjxzFkLJgN9k5EDhMNBNlftk8OsL5ZK7KXklvMkAnQQLGOIeDRwEK8046/b2kcinm\nWubTEevlSKSdbJxC3bdG2gZdme+vn377I8cACIeSJVnpMJqJEenbbuFP4fcAMBiMVFBNMJCkTK+k\nPdrBi5E3cFqcGGwQjSQ52NZWaHRbjJZRLVoQCEXRdB23qhVevyb3HBxmB75EDxXWcqLhDNFIctBz\n7jQESdmGv9Dwvv84qVz+8/d/xw8OGkYG0B2OEE0miSopesz51/9Q8CjhdBiv00uTuwF/spfWSDvz\nPE04zA50XcNhdtDe04Oua7wVOUC73U8wHWJpxSIcZgfJXIpj4VYqbeVDhuDV1LgHfd4mKpAK4g+F\ncVvy5aqaRiya4lDsBCd7/DS5G+kJhLAarTjNDnqTgUH112HqHTR8cCSqpvJO7/tkB/SI1bvqmOOq\nH3Rc//yqD8rZDTQYm0jqKd4LHaDGXkV3X6/WSV8Ai9FCMBQnlsnHVlabfz6HQ8cIpfI9P/3D/N7o\nyif1/c/j3cgRABZXLCKtpkmraXzxbvRUiAr9VF0HUyGOhPKfEYPByIeql2P+QM9dVstxPNxKg6t+\nxB7YnkT+PQFgTNuotg/+Dk7mUkQjQ7+D2rt6cZjtaLqGruvs97eiajka3XMwGUwksgniuQS9mQi9\nwTQ6sggAACAASURBVEjhcf3180GlTNJlE6QS+kPnG6i6yiUNF0+LZYI/4r2Qpw4/w0sdf2Bt8yfO\neFe7EGJkx7ryP1rz6ianl7mpL6Fq647NuOTqzjvvZOHChRw7doy/+7u/48knn+Tcc8c/ZGvJkiW8\n8sorhdtr1qxh165dQxatSCaTqKqKy+UikUjw0ksvcdttt43pXF2JbjqiJ4llq/E6aginI4TTEWod\nNcSycUKpcGGIUTyb3+g5o51KMOLZBJqucTR8fMTetXJbOaFUqJBw1TpqUHWN3mQvvcnAkOMTucSg\n5ErTNfzJAJqu4jQ7cVtcJLIJfAl/oWE3x91Ax4DFKnqTgUFlL61cgssyul5Xg2Kg1llFMNRKMBXE\nZDAy19NUSKzml80jmUvSFfcRSkewm+xE+5K145EThXjcZhe9yQBtkfZBvSLJXAqn2ZHvETDZsJms\n1DlqORnrJJAK5etHU4ckVgN5nbXktBy9yQDdiZ5hkytN10hkk+jomAxG7KahCauu6yiKgq7rdMZP\nDcmzm+00OOsGDVOssJXTFc/3SMYzcdy2fHn9DVjIN2LPrz6XcCZCIBWi2d2IZZgeof65NrYBMVXb\nqzAajLgt+c9/LDt0mPDJeBfl1rJh2zAD2xC+eDc19qpCIpHMJU8lAbpOMpekJ9lLOB0GQNVzJHMp\nepK96LpGa7S9kPCfV7Ni0Hn6y4lmYjjMDiKZKIlsgkQ2gdVoHXFo50RpusbR0HEArKZ849toMFJh\nqyCQDBBOR1D1E+i6jv3/b+/co6Mq737/3be5zySZey5AbgSCgKJo+4oCchVDAqh0ad+6bNTSclQU\nfGV5KatraYtafa3r4FtLzltYWtdpl1g1Z721pz0QBam+3ooEJAoRyD2Te+Y+ey7P+WNmNjOZSTKQ\nSWYgz+cfhskze377t5+95/k9vxuvhFVtTri//KEAxjOtQiQEh98ZZ1gBYWNlpHGVzLACLkSQKXkF\nFpkXhK8NA/S4euEPBTDoCz9XuEihCjHoB2EIhn3D4FgeGkE9duoKw0AlKKWopwHvUEJYoD1yTyp4\nBbwBL3rcvZL8IRLCkG8YXa4eePxuDPvsyNdYka+2JKxFXYEL87Db1QN3wIMiTYE0LhAJYbSozShQ\nW9Hr6UO7oxNiSISCyHGi75SkS61MC6s6EpKs1MMb8KI1knvoEsPfc2rgNAwKPYo0+ZO2Vh/VuPL5\nfGhubgYhRHodS3l5edqFSbdrdzIYTUZCCD797AsInIB1829O+UdmMojKaIIWN826AR+c+xjtgVbJ\nJZwNZPu1znb5ACpjusgWGVtsDuRoZJhbHp90ny75FlSY8cdDZ9DvFLPmnFOlpaUFr776KhoaGlBd\nXY21a9finnvuSdvxY/Vts9mwa9cu1NXVoa+vTzKmgsEgqqurcdNNN13UsX1BHwCg3zuYkEPUam+H\nO2JQAeFeUCESkhYTQNhQCJIgCCFQC2qpCbRG0EAr04BjWBCE8yHy5DlQ8groZFpwLAeDMg+nB+J/\nu4GwwaYW1JIHxCE60WoPh6BxLI9F5gVoHjoX50UaL+/nYivjlupnQSFqcbz3JLwBX1x4Esey0Mo0\n6HbZ0OHoRI5MJ+UHERICy3LQybQQ2AtGRexCtcXeBpPSiGAoAHVErgKNFQPeQXginpdoQYJYcuQ6\naGVacAwXKRsPafHsEJ1QxRgqHMuh1dGOPveFxa9SUKI0ZxZkrEzKjen19EPGCpihLYTdF16MXm1e\nkLDDDwByToaKvHKc6v8m4W+F2gLYfQ44RAc8AS/aHJ3wB0XIORlmaAulnJxgxCsYCgXB8zw0ggoC\nJ4OSlyfkUim4xOImHr8HXS4b1IIKWplGCh3rdffFzVUA+GawGQsieUkjPamxlSGjeozVVWyekF20\ng8Rc/yjtzk7oFXlx+U520TFpxlV0bgCAir8w30tzZqFAbcXJvlPSRoiCl0PJKyXvaZQ2RweKdTPR\n6+lDniJXyn+Kcm64Ff3eARgUegDh+61Qk49We1vCQt8b8KUkd9QI4Rk+8jkv2iKeoGAoAI1MA4/f\ni2/sZ0AIQa4iZ9SiKRzLI19thoJXxM1RJa+A3WeXcu6GfMPhzQmGwUxdEU4PNMPm7kWB2hoOSXT3\nxm3GAECXsxssw0LGyuAOeKTG4r5A+DnDcwK8AS+8AS9UvApGZVhH0eehjBXAsRzkkXnrC/jg4+Rx\n9/7InDcFr0BFXtheiXraAkE/bC4bjMq8pBsi6WBM42rLli3S/2NfA0BDQ0PahUmna3cyGMv9/O1A\nM7qcPfie9Tp4hkPwIDPnMlLGfzF9Dx+c+xgHGt/HTKE4IzKNJN1u/HST7fIBVMZ0kS0y9g970Tvo\nwaLZRvT1XegRlE75tPLwD/A35wfSes5TYahFKwQKgoDBwUHk5uZicHAwbcc/dOiQ9NpisaCurg4A\nMGPGDNTX10/o2DI2LHsoFIQ7cCG0JboTP5JAKIhgzMLTEwiXSwaA0tziUQsFXGWYk/CeTqZFSU4x\nCEJQ8So4/U60OjqkCmEmlRGzdDPgjzHmgqEA/KFAnLFToMlPagwAwAxdESyqSyvvL3ACZJwM3qAX\nwZjvC5EQcuU50Mg0cIpOnLO3wBcIFxlYPKJAU3leKRScHDJOhhAJ4aueE3D73Wjxhz1c8hgDQskr\n4fUO4ovuY2AjhsZVxrmQsTLYRQe0Mk3C4syiNsPm6sG3A2fi3mcYVjL0TEojbC4bPH4P+jwDUAsq\ndDq7pLH+oCgt3Iu0haPqEohfHKoEBbxcAEalAflqCwRWgEN04JuB09IYm6sHHBNecJ4bPp9wLI7l\nRi3MwbN8uJAGISjOmQVCCFrsrZLs0WtrFx1SdUEAUAvqcIGToB/d7p6kIaojGaviZmekyAbPCQhE\nFspsxEA80d8UZ4ilanBcCtFjqwU1TCNC0+ScTLrmAGBWhvP6op4YBSdHm6MDbr9bMo6HfHbMM8yJ\nu95RT1T03/LcEmhlmohHexh20YEQCUEn08IduPB8YBgGOplWKviSjOjciS3iAgAWlQm9pBsuvwuI\nHCeWIm0BHKILGpkaRoU+aW6cgpfD7gtv4vAsj56I19egyINOppXmhMvvxrBox2Ak9HAkbr8HHd6w\n0aURVMhT5EIMiRA4AQuM8+ANeHFq4DTOD7dALSjR4eyWwhi5yPlFQ/p8QVGaO1HGurfyFLlYZF6I\nTpcNNpcNYtA/9cZVOoynHTt24LPPPsPQ0BCWLVuGbdu24Y477pjwcbORjzrDOWpLCi4t8XqyKNTk\nY76hEif7m9A0cFrqiUChULKHppawoTBnxuT1UlIrBBhzFGi1OaRQpcuFkpISDA4Oorq6GnfddRc0\nGs2EwgIzxZB3WHrd7w1f8xy5Tgq38Qa8sIv2OEMjupMLADxz8f2IYisIqgQlbO7esKESkWGGtlCq\nHBb1Dp3q/ybOeybn5JBzcmhlWoghEWalUQq5i+4uXyqKyI54vJcsnNhfnluCr3pOhKvpAUCSBXps\naBPLsNI5gGFQopsVV8wpds4LLA+NPFdaXI3mDbGoTGAZFmLQL+lk2DcsLbKjeUFWtRnHe07AG/BB\nxiYuTlsdYc/geFX0+BjvkkltwIyYTVGNkDwiptPZhbyIVzQaIgogabjgSGbnlsEhOpAnzwHHcuBZ\nDt6gDx2OTrTZ29HvGUjQzVz9bNjcvWh3dMRVHwTCBlnUa6JX5qE0p1jK6Ql/Nhw+Gs6zCRvAYlAE\nwzDIlesk79Y8/RycHT4vbUBEDUWn3wlCCAgI2p2dELSF8Abiy6QHQ0EwDBMXfkYIQYezCwInjLoZ\nECRhIy5ZyX6GYSDjBGluRQ0ZBa+QytyrBXW4f1TAA0II/EERjb0nMVdfMarnN2oo5Mi1GPYNS57m\nQm2B5JGZo58thXJ2OrtHzblLdr1VEQOm3FiIXkV4U21kWJ5VbYF1nGCr6Jz2h8IyOf0uKHgFSiL1\nBUwqA1zDLrQ5OsJGXEQ3lfoKiCE/vu5rAhDuGRZl0DeMHLkuUtBDDpZhoRJU0AoaOERHgvczWmEz\nqrNojln8mLGDMjmWk/TX4ewCAZmUyt6TmnP18ssvT+bhs4Yh3zCO955EoSY/KwpZjGR96Rqc7G9C\nffP7mHN9Oc29olCyjJPnIguKkoktVMdjllWLL7/txaDDB32aGxVPJi+99BKAcPW/BQsWwOFw4Oab\nb86wVMnpcw3A5fdDLagiVQAv7Lo7/Re8ktESyaU5xeBYDs1D5+ANeHF+uFUaY1aZpAUEwzBpafaq\n4lWScRUKBWEXHZJxZ1Qa0O8ZiMutyNdYkRtpHjpHn/50gOiOeHMkr8ikMkoGCM/yMKtN6HGFdcCm\ncP4yVgYfwgbOyNL0VpUZTtGJ0tziUQ2VhONxsoQ8GG/AB6ffCTknhypafp7lwbM8vEEviBg2ApWC\nUjIMo56b8Yyr2N/nGTkFcV5mBS+XGjIDQJ4iDyzDoN8zIC1ai3Uz0MkJ6HH1phQ+lyPXxhmg0c/0\nefrhC/jg9rsTeqMxDAO9Ig9dLhuCoQBy5DnwBr0oUOfDoMwDISHYRSdMysSeSPLIsUwqA7QyteRx\nZBlW8oZEz7VYNxM9nl4oODkMSgPaHB3wBXzodHVDYMPn6LE54bB7UKEvh06mhV104PTgd+AZDiaV\nESESAgMG/lBA8haZlIak66BQ5F7lRql6J+dk8AV8YGOqesaikakxL+JBjhqUhBD0efoh52QIJdkc\niBotIz0oUkgdw8SFoxZorEllA8Ke6iJtIXxBH4o0BRBDfmlDhmXYCa39+KhxFQzAH/QjFApCEeMB\ni8ofNazK80qhFTRhY4blsMB0FU70fh0+Z04GMShiwDMAQghCoSAE4YI5Up5bghN9pxAkISh4OTx+\nD3hOgJq/cK+ZVEa4Ax4pj2qOfjYElk+pmEg0HNbtd6N58GzKjZcvBlrQIg181PHfCJEQlhb+S1bu\nBs/QFuIG67X4rPufONLxCZYXLcm0SBQKJUIgGMKJswMw6ORSs9/JojhiXJ3rsl9WxlWU4eFhDA0N\noaioCDw/sZ+vPXv24MCBA9Drwwbtjh07sHTp0oRxR44cwe7duxEKhXDnnXcmhMiP5Ju+7+ByirjG\nNB/fDjRLiw0gMTRKwSskg2nkojtHrkOhJh8Mw8LmsqW0aEgFtaCM2z2OVtgDgByZFvlqC9ocnbC5\nbNDKtAmGRboxKgzhJPyIQSeM8ProZFr0uvvAMhwWGueNezyr2gwxJCbtkaUSlFiYht5VCl6etBkz\nz/LwBryS8VqWUwy76EBrxJNjUBokY2wsrjJWjrrYK80pRmlOMYZ8w1DxKoRIECzDIkhCUPNK8CyP\nmdoiFKqT9/5KFYNCL4UH2n0OMAyL+cZKyWMn4wRcbboKhJCE7wl7Qi5U9VPL1NIiONb7Gp3T0XON\n6lQn1wEIX69i4UJukFGpx4BnIMFbBoSNwU5nN7xBH0AIAiSQdBwQzjmUczLwLB+n56jHeGT/tSgq\nXgW7zyEt8sciX2OVvj8ahpuM6JpRLahgVpkghvxxOlULqpSvI8uwF4o5AFCmYTMmSvS+bLG3oiUi\nc2zOnlpQoVBbADEoQsHJE7xBsc+38twSqVhO9FnEx9z3HMtJ9ynLsPAFxQSDNuotDIaC8If8F/V8\n1MjUKMstwXfD5wFC4PS7EAwFYQKtFpg1+IIiPmr/BGpBhRus12ZanFHZVF6FE31NqP/ur7hKP1dK\n1qVQKJnl1PlBeHwB3LRg8ioXRSnODy9aznbZcd0c8zijM89jjz2GBx54AJWVlRgaGkJNTQ20Wi0G\nBgawffv2CTX0jTYHrq2tHXVMMBjEs88+i/3798NiseDOO+/EypUrUVZWNupnosUExKAYZ1jFUp5X\nCp7h48J4CtRWBEkQfe5+5Mh1mJ0X/o5CjVVqhpkOTEojGIaFVtCgeehsXDheNKdhhrYAZpVxzPyF\ndKESlCjPK8WAdxC+oAjdiJ6MufIcLDIvBAMmpfsjR67DAvn4RthkMDJfS2AFGJUG8CyPXHnqzXFT\nKbV+YfEqSAvNWCbq5eRiZA2EAlAKqoQ5GK1QNx6V+gp4Az4ESXDMa5grz8HsvLJRvYpaQSNVXhxJ\n1Js3EhknQ3HOTLAMi37PAHrdfVL+XLSpdr93EHnyHMnLzI1ynYq0BTCleF8UavJRoLbiS9tXABCp\nWqkAAwZBEpCKm0RhGTYt5f4nC5WglLyMcl4OFmzCBkaypr6xzNAWwi46oOSVKMmZCYKQdN1GblbE\n3itjPfs4lrukuZ6nyEVRsADtjg4pFLNiRuJ9dKlQ42qCfNTxCVwBN9YVr0paNz9b0Mm0+EHFBrx+\n6k/Y//X/xvbrtk7JDyeFQhmb//46vLt5feXkGzslVh0YAGc7Rk+KziZOnTqFyspww9v6+nqUl5dj\n37596O7uxpYtWyZkXAFjJ9kDQGNjI2bOnImiovCip6qqCocOHRrTuCrQWjA45ETnGEn+akGd8Pzl\nWA7FupmwqixxRhfLsONW6rsYOJaTck7KckvQ1P8tgPhwPGD88LV0kivPGTPv4XIJZY/1eJREwj0B\nJPWiZTs6uQ6IFLHIVeTCMMFzSObpS0ZOxGuVjHDeUzg0Ty1TY05eOQQNwaf2xugAXGteGC6KEJnX\nFXnlF3J1IsVlgiQEh+iEK+BGj7sXbY4ODClypevHjpHbeDH3BcMwmKOfDV9QjMtNHPY5YPc5kD9G\niF+2IbD8hL2+FrUZlhjP2iztDBiVBjBg0vqMS5XJXAPT1fUE8AQ8+H8tH0LBKXDLjIsrz5sJrrcs\nwjcDZ/Bp95c4cLoeP5x7ZRYXoVAuF1xeP7483QtLnhJlBaMvKtKFSsGjwKTGuS47AsEQeC67F61y\n+YUF2ZdffomVK1cCAKxWK9hR8iIuhjfffBPvvfce5s+fjyeeeAI6Xfw1sNlsyM+/EBZnsVjQ2Ng4\n5jGjbTgGRvS/makrksLDRtsZB1JfhKYDtaBCSc4sqAX1lH7vlUq0GAUbKYN/OaPkFbjGvAAcw2VV\nuoNJaUC/dxAmpREsw0Kv0kpFTOScTCqKEO2dFbtRIeMuePnO21vR5+6XqiAOeYekfLB05DZG0co0\nCcFmOXIt5hsr0xbqe7nCRVoqZPL7JwtqXE2A/zr7dzj9LlSX3poRq/tiYRgGd83ZhA5nF/7R+SmK\nNPlYWnRjpsWiUKYtH5/shj8QwtKrC6ZsAVMxIxcdvS6c73KgvCj9VZLSCcMwsNlsyMnJwWeffYaH\nH35Y+pvX6x3jk2Fqa2vR15eY6/Doo4/i7rvvxoMPPggAeOWVV/D8889j9+7dCd9/sehVucjL1SAQ\nKR9t1ZhgVOVBxskwiHBCvcWcPXpPZ57BRX/3ZdZvbTyGWQ1EwQOdXJO2c7vSdDRRkuljUfFcdDt7\nYFDpYVKnpi+/3ADfYGIrBA2ng9WcegjnpTP115XOpXgUPga2YLgQh0pIr6FLjatLpKn/ND5s/wfM\nSiNWzkxMgs5WZJwMWxbci19/8T9x4Mz/gVllwlz97EyLRaFMOwgh+PBYBziWwZIFk1s0IJZ5s/Lw\nwT87cPJcf9YbV1u2bMHGjRvB8zyuu+46zJ4dflYdO3YMhYWF435+//79KX3P5s2bsXXr1oT3LRYL\nurou9Cvq7u6GxTJ2XgEAhDwcHD4nGIaFRpELv5OFHwEYGBMEVsiK3mqZJlt6zKUTwa+C4FdAK+Sl\n5dyuRB2lG5NJi4CThRFWwA30ulPTF0eUsHD5UAtqiEER3oAPakEFgeXR35c8V/Jyhs6lRLwBLxz2\nSJsHWXrNoeyOCclSzgyexX+e/AM4hsOPr7r7sstdMijzsGXBvWDB4D9P/iGlBoAUCiW9NLUMoqvf\njesrzdCppy6/ZV6xHjzH4J+nk1evyibWrVuH+vp67N27F6+++qr0fkFBAZ599tkJHbunp0d6ffDg\nQVRUJPYAnD9/PlpaWtDe3g5RFPH+++9LoYljUaCxwqQyojRnVlzoiVFpGDOnhHJ5oxKUKM1Jvcw7\nJXOwDItceQ4ElodaUMGgzIOCl09qqBglu+Bi1u6p9IS7GC4vqyBDOP0u9Hn68Y3LhU/OH8OXtuPh\nSlNX/TBplZ7LgbLcYvxr5Wa8fupP+I/j+/Bv1z1If/QplCnk4Bfh/JuV105thSilnMeCUgOOnenD\nd53DKCvIbu+V2WyG2Rxf7CMV79F4vPTSS2hqagLDMCgqKsIzzzwDIJxntWvXLtTV1YHneezatQv3\n33+/VIp9rGIWUdSC6rIIFadQKJTpSmxbgJEtICZ87LQe7Qpi2OfAkfZ/4Iue4+iLNJ6Lkq+24K45\nt6M8tyRD0qWHG6zXot8ziP869zfs+ep/YduiLRlNLqRQpgu2ATeON/ehJF+HssKpN25WLZ6BY2f6\n8KdDZ7Dz7msh8NMviOHXv/510vctFgvq6uqk/y9btgzLli2bKrEoFAqFMgUwDCM15R7ZxHmiUONq\nBIFQAIdaj+D/tjRADIqQczLMM8yBVWXGLGM+DKwZs3RFl01p2PG4tXgFXAEXPmg7in//4j/wwIJ7\nMEM7fi4DhUK5dP76aSsIgLU3ZMbzXTkrDzdUmvFZUw9+89ZX+B+bFkCjTO/OHYVCoVAo2Uyxbiby\n1daUestdDJNqXF1sZ/tMc3qwGW+drkeXywatoMGmstvw/fzrpVjMKzEhkGEY3FFeDSWnwPvnD+LX\nX+zB96zX4QbrtSjRzYSQ5jhUCmW60z3gxj9OdMGiV2FxBhv53ndbJYJBgi9P9+LFPx7Dzh8uglox\nfe73PXv24MCBA9Drw/1nduzYgaVLE4sTrVixAmq1GhzHged5vP3221MtKoVCoVAmAZZh025YAZNo\nXF1KZ/tM4A/60TRwGofbP8Y3g2fAgMFNBd/DhrLboBLS6ybMVhiGQVXpGpTmFOOtM+/hk67P8UnX\n52AZFgVqK9bMWo7rLNdkWkwK5Yqg/ug5BEMEdy4rBctmrn+MTOCwddN8vPm3b/HhV51476Nz+NfV\niUUdrlQYhkFtbS1qa2vHHfuHP/wBubm5UyAVhUKhUC53Js24upTO9unG7Xfj467PIQZFAAADBkES\nghgS4RRd6HH3od3ZAX8oACDcyXtj2brLtkjFRKk0VGCX/t/w7UAzTvY34by9DR3OLnw33EKNKwol\nTVxTbkSBUY1rK0yZFgUsw+BHa+cg36DOSO5XpiGEpHUchUKhUCiTZlxdSmf7dPN1/7d4t/kvo/6d\nZVjkqy2Yq5+N6y2LaK4RwjqpNFSg0hDewSaEZFV3dgrlcud78yZe6S6dsAyD1ddPzw2lN998E++9\n9x7mz5+PJ554AjpdYsXUqIeLZVncdddd+MEPfpABSSkUCoVyucCQSdqS+9vf/oaPPvoIv/zlLwEA\n9fX1aGxsxK5duybj6ygUCoVCiaO2thZ9fYn9vB599FFcc801Ur7VK6+8gt7eXuzevTthbE9PD8xm\nMwYGBlBbW4tdu3Zh8eLFky47hUKhUC5PJs1zdamd7SkUCoVCSQf79+9PadzmzZuxdevWpH+L9tjS\n6/VYvXo1GhsbqXFFoVAolFGZtHril9rZnkKhUCiUyaanp0d6ffDgQVRUJBbz8Hg8cDqdAAC3242j\nR48mHUehUCgUSpRJ81xdamd7CoVCoVAmm5deeglNTU1gGAZFRUV45plnAITzhXft2oW6ujr09fXh\noYceAhCugFtdXY2bbropk2JTKBQKJcuZtJwrCoVCoVAoFAqFQplOTFpYIIVCoVAoFAqFQqFMJ6hx\nRaFQKBQKhUKhUChpgBpXFAqFQqFQKBQKhZIGMmZc7dmzB0uXLsXGjRuxceNGHDlyJOm4FStWoLq6\nGhs3bsSdd96ZlTIeOXIEt956K9asWYO6uroplTHKvn37MHfuXAwNDSX9eyb1CIwvXyZ1+Morr6Cm\npgYbNmzAvffeG9dCIJZM6jBVGTOpxxdeeAHr1q1DTU0NHnroITgcjqTjMqXHVOXLpA7/+te/oqqq\nCpWVlfj6669HHZfJuZiqjNnwXJxqpuM5J6Orqwv33HMPqqqqsH79erzxxhsAgKGhIdTW1mLt2rW4\n7777YLfbpc/s3bsXa9aswa233oqjR49mSvQpJxgMYuPGjfjZz34GgOooGXa7Hdu2bcO6detw2223\n4fjx41RPI9i7dy+qqqpQXV2Nxx57DKIoTnsdPfnkk7jxxhtRXV0tvXcpOjl58iSqq6uxZs0aqXfv\nuJAMsWfPHrJv375xx91yyy1kcHBwCiRKJBUZA4EAWbVqFWlrayOiKJKamhrS3Nw8RRKG6ezsJPfd\nd9+YusqkHseTL9M6dDgc0us33niDPPXUU0nHZVKHqciYaT0ePXqUBINBQgghL774InnxxReTjsuU\nHlORL9M6bG5uJmfPniU/+tGPyMmTJ0cdl8m5mIqMmdZjJpiO5zwaPT095NSpU4QQQpxOJ1mzZg1p\nbm4mL7zwAqmrqyOEELJ3717pHjxz5gypqakhoiiStrY2smrVKulevdLZt28f2bFjB/npT39KCCFU\nR0nYuXMnOXDgACGEEL/fT+x2O9VTDG1tbWTFihXE5/MRQgh55JFHyDvvvDPtdfT555+Tr7/+mqxf\nv15672J0EgqFCCGE3HHHHeT48eOEEEIeeOABcvjw4XG/O6NhgSTFQoWpjpsMxvvuxsZGzJw5E0VF\nRRAEAVVVVTh06NAUSRfmueeew+OPPz7uuEzpcTz5Mq1DjUYjvXa73cjLyxt1bKZ0mIqMmdbjkiVL\nwLLhR8rVV1+N7u7uUcdmQo+pyJdpHZaVlaGkpCSlsZmai6nImGk9ZoLpeM6jYTKZUFlZCQBQq9Uo\nKyuDzWZDQ0MDNm3aBADYtGkTDh48CAA4dOgQqqqqIAgCioqKMHPmTDQ2NmZM/qmiu7sbhw8fxubN\nm6X3qI7icTgc+OKLLyQPPc/z0Gq1VE8xaDQa8DwPj8eDQCAAr9cLs9k87XW0ePFi6HS6uPcueM6y\n+wAABi1JREFURifHjx9HT08PXC4XFi5cCADYuHGj9JmxyKhx9eabb6KmpgZPPfVUnGsuFoZhUFtb\ni9tvvx1vvfXWFEs4vow2mw35+fnS/y0WC2w225TJd/DgQVitVsydO3fMcZnSYyryZVqHAPCb3/wG\ny5cvx7vvvostW7YkHZPpuTiejNmgxyh//vOfsWzZsqR/y7QegdHlyyYdjkU26HAsLhc9ppPpeM6p\n0N7ejqamJixcuBD9/f0wGo0AAKPRiP7+fgDhhs5Wq1X6jNVqnRa62717N3bu3Clt+gCgOhpBe3s7\n9Ho9nnzySWzatAk///nP4Xa7qZ5iyM3NxX333Yfly5fj5ptvhlarxZIlS6iOknCxOhn5vsViiWtA\nPxqT1kQYAGpra9HX15fw/qOPPoq7774bDz74IIBwPsnzzz+P3bt3J4z94x//CLPZjIGBAdTW1qK0\ntBSLFy/OGhkZhkmbLJciY11dHfbt2ye9N9pu9mTqcaLyZVKH27dvx4oVK7B9+3Zs374ddXV1eO65\n5/Dcc88ljM3UXExVxmzQIwC89tprEAQhLs45lkzMxVTlyxYdjkem5+J4TIUes43peM7j4XK5sG3b\nNjz99NNx3ncgrK+xdHal6/ODDz6AwWDAvHnz8OmnnyYdM911BACBQACnTp3Crl27sHDhQvzqV79K\nyGec7npqbW3F66+/joaGBmi1WjzyyCOor6+PGzPddZSM8XQyESbVuNq/f39K4zZv3oytW7cm/ZvZ\nbAYA6PV6rF69Go2NjWldRExURovFEldcoLu7GxaLJW3yAaPLePr0abS3t6OmpgZAeOf0jjvuwIED\nB2AwGOLGTqYeJypfJnU4kvXr14/qucqWuTiajNmgx3feeQeHDx/G66+/PuqYTMzFVOXLBh2mQrbM\nxdGYCj1mG9PxnMfC7/dj27ZtqKmpwapVqwAABoMBvb29MJlM6OnpgV6vBxDWXWyY7nTQ3bFjx9DQ\n0IDDhw9DFEU4nU48/vjjVEcjsFqtsFgsUljW2rVrUVdXB6PRSPUU4eTJk1i0aJGULrB69Wp89dVX\nVEdJuJj7Kzr3Rr4f/f0di4yFBca61Q4ePIiKioqEMR6PB06nE0A4z+To0aNJx2VSxvnz56OlpQXt\n7e0QRRHvv/8+Vq5cOSXyVVRU4OOPP0ZDQwMaGhpgsVjwzjvvJBhWmdJjqvJlUocAcP78een1oUOH\npFyBWDI9F1ORMdN6PHLkCH7/+9/jt7/9LeRyedIxmdRjKvJlWoexjOaFzvRcjGU0GbNJj1PFdDzn\n0SCE4Omnn0ZZWRl+/OMfS++vWLEC7777LgDgvffek4yuFStW4C9/+QtEUURbWxtaWlqkxfSVyo4d\nO3D48GE0NDTg5Zdfxve//328+OKLVEcjMJlMyM/Px7lz5wAAn3zyCcrLy3HLLbdQPUUoLS3F8ePH\n4fV6QQihOhqDi72/TCYTNBoNjh8/DkII6uvrpc+MycTrcVwajz/+OFm/fj2prq4mW7duJb29vYQQ\nQrq7u8lPfvITQgghra2tpKamhtTU1JCqqiryu9/9LutkJISQDz/8kKxZs4asWrVqymWMZcWKFVIF\nsWzS43jyEZJZHT788MNk/fr1pKamhjz00EOkr68vQcZM6zAVGQnJrB5Xr15Nli9fTjZs2EA2bNhA\nfvGLXyTImEk9piIfIZnV4d///neydOlSsmDBAnLjjTeS+++/P0HGTM/FVGQkJHuei1PJdDznZHz+\n+edkzpw5pKamRrrfDh8+TAYHB8m9995L1qxZQ2pra8nw8LD0mddee42sWrWKrF27lhw5ciSD0k89\nn376qVQtkOookaamJnL77beT6upq8uCDDxK73U71NIK6ujpy2223kfXr15OdO3cSURSnvY62b99O\nlixZQq666iqydOlS8vbbb1+STk6cOEHWr19PVq1aRZ599tmUvpshJIOl+CgUCoVCoVAoFArlCiGj\n1QIpFAqFQqFQKBQK5UqBGlcUCoVCoVAoFAqFkgaocUWhUCgUCoVCoVAoaYAaVxQKhUKhUCgUCoWS\nBqhxRaFQKBQKhUKhUChpgBpXFAqFQqFQKBQKhZIGqHFFoVAoFAqFQqFQKGng/wOVltwQk7JvPAAA\nAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1IAAACGCAYAAADXYbujAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQqFQKBTKKPn/jkbTapfuobgAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -328,7 +324,7 @@ } ], "source": [ - "pm.traceplot(trace, vars=['mu']);" + "pm.traceplot(trace, varnames=['mu']);" ] }, { @@ -341,7 +337,7 @@ { "data": { "text/plain": [ - "array([-1.40252803, -4.66313553])" + "array([-1.43732683, -4.73219003])" ] }, "execution_count": 15, @@ -391,9 +387,9 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1cAAACJCAYAAADAHsIyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIBAIBIIRQChXAoFAIBAIBAKBQDAC/H+4YiqGk5Ff/wAAAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1IAAACGCAYAAADXYbujAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -401,7 +397,7 @@ } ], "source": [ - "pm.traceplot(trace, vars=['sigma']);" + "pm.traceplot(trace, varnames=['sigma']);" ] }, { @@ -414,7 +410,7 @@ { "data": { "text/plain": [ - "array([ 0.76300764, 1.50286487])" + "array([ 0.75396223, 1.49310645])" ] }, "execution_count": 18, @@ -452,7 +448,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "However, the 95% posterior credible region is visually quite close to the true credible region, so we can be fairly satisfied with our model." + "However, the 95% posterior credible region is visuall quite close to the true credible region, so we can be fairly satisfied with our model." ] }, { @@ -478,9 +474,9 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFzCAYAAAAE+sEBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKDOSnIUQQogy8/8Br8IpOTVAKosAAAAASUVORK5CYII=\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFzCAYAAADxBEqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTNREREQqxkRNRESkYkzUREREKvb/AYXgv43sgWt3AAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -522,213 +518,29 @@ "\n", "This post is available as an [IPython](http://ipython.org/) notebook [here](https://gist.github.com/AustinRochford/fa24221f09df20071c06)." ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false, - "scrolled": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "['T',\n", - " '__abs__',\n", - " '__add__',\n", - " '__and__',\n", - " '__array_priority__',\n", - " '__bool__',\n", - " '__class__',\n", - " '__count__',\n", - " '__delattr__',\n", - " '__dict__',\n", - " '__div__',\n", - " '__divmod__',\n", - " '__doc__',\n", - " '__dot__',\n", - " '__floordiv__',\n", - " '__format__',\n", - " '__ge__',\n", - " '__getattribute__',\n", - " '__getitem__',\n", - " '__getstate__',\n", - " '__gt__',\n", - " '__hash__',\n", - " '__init__',\n", - " '__invert__',\n", - " '__iter__',\n", - " '__le__',\n", - " '__lt__',\n", - " '__mod__',\n", - " '__module__',\n", - " '__mul__',\n", - " '__ne__',\n", - " '__neg__',\n", - " '__new__',\n", - " '__nonzero__',\n", - " '__or__',\n", - " '__pow__',\n", - " '__radd__',\n", - " '__rand__',\n", - " '__rdiv__',\n", - " '__rdivmod__',\n", - " '__rdot__',\n", - " '__reduce__',\n", - " '__reduce_ex__',\n", - " '__repr__',\n", - " '__rfloordiv__',\n", - " '__rmod__',\n", - " '__rmul__',\n", - " '__ror__',\n", - " '__rpow__',\n", - " '__rsub__',\n", - " '__rtruediv__',\n", - " '__rxor__',\n", - " '__setattr__',\n", - " '__sizeof__',\n", - " '__slots__',\n", - " '__str__',\n", - " '__sub__',\n", - " '__subclasshook__',\n", - " '__truediv__',\n", - " '__weakref__',\n", - " '__xor__',\n", - " '_is_nonzero',\n", - " 'all',\n", - " 'any',\n", - " 'arccos',\n", - " 'arccosh',\n", - " 'arcsin',\n", - " 'arcsinh',\n", - " 'arctan',\n", - " 'arctanh',\n", - " 'argmax',\n", - " 'argmin',\n", - " 'argsort',\n", - " 'astype',\n", - " 'auto_name',\n", - " 'broadcastable',\n", - " 'ceil',\n", - " 'choose',\n", - " 'clip',\n", - " 'clone',\n", - " 'compress',\n", - " 'conj',\n", - " 'conjugate',\n", - " 'copy',\n", - " 'cos',\n", - " 'cosh',\n", - " 'cumprod',\n", - " 'cumsum',\n", - " 'd2logp',\n", - " 'deg2rad',\n", - " 'diagonal',\n", - " 'dimshuffle',\n", - " 'distribution',\n", - " 'dlogp',\n", - " 'dot',\n", - " 'dtype',\n", - " 'eval',\n", - " 'exp',\n", - " 'exp2',\n", - " 'expm1',\n", - " 'fastd2logp',\n", - " 'fastdlogp',\n", - " 'fastlogp',\n", - " 'fill',\n", - " 'flatten',\n", - " 'floor',\n", - " 'get_parents',\n", - " 'get_scalar_constant_value',\n", - " 'imag',\n", - " 'index',\n", - " 'log',\n", - " 'log10',\n", - " 'log1p',\n", - " 'log2',\n", - " 'logp',\n", - " 'logp_elemwise',\n", - " 'logp_elemwiset',\n", - " 'logpt',\n", - " 'max',\n", - " 'mean',\n", - " 'min',\n", - " 'missing_values',\n", - " 'model',\n", - " 'name',\n", - " 'ndim',\n", - " 'nonzero',\n", - " 'nonzero_values',\n", - " 'norm',\n", - " 'owner',\n", - " 'prod',\n", - " 'ptp',\n", - " 'rad2deg',\n", - " 'ravel',\n", - " 'real',\n", - " 'repeat',\n", - " 'reshape',\n", - " 'round',\n", - " 'shape',\n", - " 'sin',\n", - " 'sinh',\n", - " 'size',\n", - " 'sort',\n", - " 'sqrt',\n", - " 'squeeze',\n", - " 'std',\n", - " 'sum',\n", - " 'swapaxes',\n", - " 'tag',\n", - " 'take',\n", - " 'tan',\n", - " 'tanh',\n", - " 'trace',\n", - " 'transpose',\n", - " 'trunc',\n", - " 'type',\n", - " 'var',\n", - " 'zeros_like']" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dir(x_)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.6" + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "widgets": { + "state": {}, + "version": "1.1.2" } }, "nbformat": 4, From 16977796d5758caeefecd44aad3b1e605f379ab3 Mon Sep 17 00:00:00 2001 From: AustinRochford Date: Wed, 28 Sep 2016 08:08:08 -0400 Subject: [PATCH 3/3] Fix Markdown formatting; add author link --- docs/source/notebooks/LKJ.ipynb | 38 ++++++++++++--------------------- 1 file changed, 14 insertions(+), 24 deletions(-) diff --git a/docs/source/notebooks/LKJ.ipynb b/docs/source/notebooks/LKJ.ipynb index f30cafd8a3..8dcd9fdd4b 100644 --- a/docs/source/notebooks/LKJ.ipynb +++ b/docs/source/notebooks/LKJ.ipynb @@ -4,10 +4,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "---\n", - "title: Fitting a Multivariate Normal Model in PyMC3 with an LKJ Prior\n", - "tags: Bayesian Statistics, PyMC3\n", - "---" + "# Fitting a Multivariate Normal Model in PyMC3 with an LKJ Prior\n", + "\n", + "Author: [Austin Rochford](www.austinrochford.com)" ] }, { @@ -16,7 +15,7 @@ "source": [ "Outside of the [beta](https://en.wikipedia.org/wiki/Beta_distribution)-[binomial](https://en.wikipedia.org/wiki/Binomial_distribution) model, the multivariate normal model is likely the most studied Bayesian model in history. Unfortunately, as this [issue](https://github.com/pymc-devs/pymc3/issues/538) shows, `pymc3` cannot (yet) sample from the standard conjugate [normal-Wishart](https://en.wikipedia.org/wiki/Normal-Wishart_distribution) model. Fortunately, `pymc3` *does* support sampling from the [LKJ distribution](http://www.sciencedirect.com/science/article/pii/S0047259X09000876). This post will show how to fit a simple multivariate normal model using `pymc3` with an normal-LKJ prior.\n", "\n", - "The normal-Wishart prior is conjugate for the multivariate normal model, so we can find the posterior distribution in closed form. Even with this closed form solution, sampling from a multivariate normal model in `pymc3` is important as a building block for more complex models that will be discussed in future posts.\n", + "The normal-Wishart prior is conjugate for the multivariate normal model, so we can find the posterior distribution in closed form. Even with this closed form solution, sampling from a multivariate normal model in `pymc3` is important as a building block for more complex models.\n", "\n", "First, we generate some two-dimensional sample data." ] @@ -46,7 +45,7 @@ "import pymc3 as pm\n", "import scipy as sp\n", "import seaborn as sns\n", - "from theano import tensor as T" + "from theano import tensor as tt" ] }, { @@ -101,7 +100,7 @@ "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFzCAYAAADxBEqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xd4m+XdN/yvZEmWLFvyjO1MJyGLkD0ITuIkzqI3GcBd\nxkPfQsNsuaHF3L1pSwct8NKyyksXD9wUbmh5CJAmhZYHShJCnD3J3sOOk9iO7Vjb2uf7h2PHTjxk\n65Ku65K+n+PgOGIj6fqdkqWfzvU7NUIIASIiIlIkrdwBEBERUeeYqImIiBSMiZqIiEjBmKiJiIgU\njImaiIhIwZioiYiIFCyqRP35559j0aJFGDVqFA4ePChVTERERHRJVIl6+PDh+MMf/oApU6ZIFQ8R\nERG1oYvmzkOGDAEAsGYKERFRbHCOmoiISMG67VEvW7YM9fX1V/2+rKwMpaWlMQmKiIiImnWbqN9+\n+23JLyqEgEajkfxxiYiIEk1Uc9Rt9WSeWqPRoK7OKdWlZZOXl6H6diRCG4DEaEcitAFgO5QkEdoA\nJEY78vIyen3fqOao16xZg1mzZmHv3r347ne/i/vvvz+ahyMiIqIrRNWjnjdvHubNmydVLERERHQF\nrvomIiJSMCZqIiIiBWOiJiIiUjAmaiIiIgVjoiYiIlIwRSbqcDiMixcbJP0vHA53e90PP3wfd999\nB+6++w58+OH7rb9/6603cMst/4Z77/0W7r33W9i6dTMAYPfu3bjnnv+FBx64B+fOnQUAuFwuPP74\no11ew+fzRfkMxcdtty2Bw2EHAHzve/cBAL7+eheeeKKs29vHQ319PX7+8x/H7XpERHKQrOCJlGy2\nRpSXr0N6erokj+dyuVBSMgfZ2Tmd3ubUqZP49NOP8eabf0FKSgr+8z8fxfTpM9GvX38AwB133IU7\n7/x/2t3n7bffxssv/x7V1eewatUKPPLIY/if/3kT99xzb6fX+eij93Hjjf+G1NTUq/5fOByGVhvb\n706hUAgpKSkR3vpy9bjXXvvz5d92WlSu99XmetP23NxcPPPMb3p9TaJE5vV6cfasHceOVcDv9yMY\nDEAI0a44Vcu/NRoNUlJ00Ol00OlSkJaWjoKCQpjNZlaRVABFJmoASE9Ph8Viidv1KitP49prx8Bg\nMAAAxo+fiPXr1+Guu74NAOio8Jper0dTkwdebxP0ej3OnTuL+vo6jBs3ocNrrFixHPX1dXj00e8i\nMzMTr776GubPL8HSpbdi167tKCt7As888wv8+c9/gcVixZEjh/HHP/5/+P3vX4fX68Urr7yAU6dO\nIhQK4d57H8SMGSVXXeO9997BF198Bq1Wi2nTpuOhh/4Djz76EIYNG459+/Zi/vyFWLjwJrz00nOo\nra2FXp+C733vBxgzZhwcDjt++cufor6+DqNHjwFwudHz55dg9epyAIDb7cYTTzyGs2erMHHiFPzw\nhy292su3/+KLz/DRR8sRCgVx7bXX4T//88dXveFvu20JSkvnY+fO7bjrrrsxcuQo/Pa3L8But8Fo\nNOKJJ36KgQMH4dy5s3j66Z/D6/VixowSfPjh+1i9uhw1NdV44onH8O67H8Dv9+O5536Fo0cPIyVF\nh0ceeQwTJ07GZ5/9Exs3rofX68P582cxc+ZsPPzw9yP9syBSNJfLhQsXauB0OuH3++H3++Dz+eD3\n+yAEkJNjgRAp0Gg00Ghw6T3YWeINIxj0IxgEnE47Tp06jnA4jLS0NJhMZgwcOAh9+uQzcctAsYk6\n3oYMuQb//d+vweFwwGAwYOvWzRg58trW/79y5Uf417/+L0aOHIVHHilDeno6HnzwQTz55M9gNBrx\n858/jd///hU8+ODDnV7jm9+8Ex988D5+//vXW7+EeL1NuO66MXjkkccu3ar9m6DlTfHOO3/GpElT\n8ZOf/AIulwsPPHA3pkyZitRUY+ttt27djI0by/Hf//0uDAYDnM7LJfeCwSDefPNdAMCvfvUz3HHH\ntzBmzDgEgy585zvL8Ne/foS33vpvjB07Ht/5zv3YsmUjPv30k6viAIDDhw/ivfdWID+/AI8//gjW\nr/8Ss2ZdPqClsrICa9d+gf/9v99CSkoKXn75eXzxxWdYuPDfrnpOrNZM/PnPfwEA/OAHD+OJJ55E\nv379cejQAbz88m/w6quv4dVXX8btt9+FuXPn4+9//1u7WFr+/d5770Gj0eCdd5bjzJkKlJU9guXL\nVwEATpw4jrff/j/Q6XS4665/x2233Ym8vD6dvk5ESiSEwMWLF3H27Bm43S643S6Ew2GYzebWDoZe\nr4NerwNgBgCYzalwu3s+1abXG5CZaWhz7RAOHtyHvXuDsFisGDZsJHJyOh+hJGkxUV8yaFARvvWt\ne/DYYw8jLS0N11wzvHWI+JZbbsOyZQ9Ao9HgjTf+hN///rf4yU9+gZEjR+L115sPLdm792vk5fVB\nOBzGU0/9BDqdHo88UoasrKwrriTQtueZkpLSLsm1/X9t7dixDZs3b8D77zcn22AwiNraGgwcWNR6\nm507t+Ommxa3vmkzMi7Xlp07d0G721VWnoYQAjpdCjweDzweD/bu3Y3nnnsJAHDDDTPa3b+tUaNG\no6CgEAAwb95C7Nu3p10bdu7cjmPHjuKBB+6GEAJ+vx/Z2dkdPtbcufMBAE1NTThwYC9+/vMftQ7H\nBYNBAMDBg/vwm9+8DABYsOBG/OlPv7vqcXbt2oXFi/8dADBwYBEKC/uiqqoSADBp0hSkpaUBAIqK\nBqOmppqJmhRPCIHa2hqcP38OHo8bbrcLWm0KLJYM6HQpsFqtcY2n7VTk119vh8FgxPDhI1s/Cyh2\nmKjbuOmmJbjppiUAgNdf/yPy8/MBoF2yXbLkFvzoR1cvpnrnnT/j6ad/g9/+9nk8/PAPUFNTjY8+\ner/LHjYAGAyp7XqIKSkpCIebE5Xff/mbsBACzz77AgYMGNjpYzUnuI6HpYxGU7vbvf76/0Cv17cr\ndt88PKZpc7uOr3P10NeVPwvceONNeOih/+g01hYmk+nStcLIyLDgrbfe6/J6nR3+cuXv2/7c8sUF\nALTaFIRCoW7jIoo3IQRqas7j/PnzcLtd8HjcSE01IC3NDINBD4Phyi/98rFYmr8kHDy4H8ePH8X1\n1xe3e5+RtBS56lsujY2NAICamhps2PAV5s27EQDQ0HD5PO7167/E4MFD293vs8/+ieLiGUhPT4fP\n522dB+podXdamhlut7v15ysTTGFhXxw9erj1Wi2mTp2GFSuWt/58/PjRqx576tRp+PTTT+DzeQEA\nDoejw3ZOnToNH33U9rGOAQDGjZuIf/3r/wIAtmzZBJfr8tB52zgPHTqAmppqhMNhrF27+qo5+UmT\npuKrr9a2Pp8OhwM1NTUdxtIiLc2MwsK+WLduTevvTpw4DgC49toxWLduLQBgzZovOrz/lClTsHr1\n5wCAM2cqceFCbbvRBiIlEkKgqqoS27ZtxurVn+HIkYMIhQIwGlORnZ0Nszld0XPCGRnp0Ot1WLdu\nNc6cqZQ7nISl2B61y+WK+2P97GdPwOGwQ6fT4fHHf9Q61POnP/0OJ04cg0ajRWFhIf7rv55svY/P\n58Xnn3+K3/72DwCA22//Fv7rv34Avd6AX/7y/73qGkuW3Iwf/vD7yM3Nw6uvvnbVm/A733kAv/nN\n00hPT8eECZPa/P5+/O53L+Oee+4EABQUFOL5519pd9/rr78BJ04cw3333Q2DQY9p06bjwQcfvuoa\nP/jBf+K3v30e99zzv6DVAqNHj8MPf/hjLFt2P375y5/i7rvvwHXXjUV+fkHrfdo+xqhRo/Hb376A\nc+eaF5OVlMxuuRWA5uHlBx54GI8//h8IhwX0ej0ef/wJFBQUoL32cT311LN48cVf45133kIoFMTc\nuQtwzTXD8P3vP46nn/45/vKXtzF16rQOdwPcdddd+NGPnsQ999yJlBQdfvrTX0Knu/rPW8GfeZQA\nPB4PPvlkFRoaGpCTk4OlS29tHTVqIYRAZWUlqqvPwem0IzU1FSaTCZmZmTJFHR2tVousrCycOHEU\nTU0ejBgxSu6QEo5G9OQgaQl1dbZoOByGzdYo6fUyM7Mk3/qUKGekKr0NPp+3ddHc2rVfYM2aL/Dr\nX7/U7jZqaEd3EqENQHK3Y/ny91BZWQGNRgMhBAYNKsKdd34L4XAYFRWnUVtbDYfDDqPReFUCj4Xe\nLibrLbfbhfz8vrj22uskfdxE+JuK5jxqRfaotVptl3ueKbkcOXIEr7zyAoQQyMjIwE9+8gu5QyLq\nUENDQ7vRp6NHD2Pz5g1wOOwwm81ITU3tYIFp4jCb01FTcw5paekoKiqSO5yEochETdTWuHHj8T//\n83/kDoOoWzk5Oairu4CLFxvQ1OTBgAEDodOldLrrIRGlp2fg6NGDyM3NlaxoVbLjYjIioigFg0Ec\nPLgfmZmZCIWCSEszYfDgIZgzp7T7OyegzMxM7NixRe4wEgZ71EREvXThwgWcPHkcdnsjMjIykJ2d\nhcWLl8gdluxahv+rqs50uaWUIsNETUTUA8FgEIcPH0Rd3QWEw2FYLBlJNbQdKbPZjBMnjjFRS4CJ\nmogoArW1tTh16jjsdhssFgvS081yh6R4QghUV59DYWE/uUNRNSZqIqJOhMNhHDlyGDU151p3HbD3\nHLn0dDOqqs4wUUeJiZqI6Ap+vx/btm3DiRMVMJvTuHo5CvE8oz5RMVETEV3icrlw6NB+XLzYgL59\n+6i2WpiSCCHQ2HgRWVkciegtJmoiSnr19fU4evQQXC4nMjMzkZ2dfen0vKDcoaleeno6qqurmaij\nwERNREmrquoMTp8+Cb/fB4vFktBVw+SSkpICj8fd/Q2pU0zURJRUhBA4fvwYqqoqodVqYDabYTSm\nyh1WQvN6m+QOQdWYqIkoKYRCodYjWo3GVGRk9HyBmNfrxcaNzbW7LRYrZs4sQWoqk3x3eAZ8dJio\niSihBYNB7N+/Fxcu1CA9PR1Wq6XXj7Vx4wbU1FRDo9HA4/Fgw4ZyzJs3X8JoExMTdXSYqIkoIYVC\nIRw8uB/V1edhsWRIMv/scNhby2NqNBpuPYpQOByWOwRVY6ImooQSDodx6NABnDtXhfT0dGRlSbfF\nymKxwuPxtJ43bbFYJXvsRCYEE3U0mKiJKCEIIXDkyGGcOVOB9HRzRD3ons45z5xZgg0bytvdnrqn\n1abIHYKqMVETkao1r+I+isrK0zAajT3qQfd0zjk1NZVz0r2g0zHVRIPPHhGpkhACp0+fxOnTJ6HX\n62G19nwYmnPO8aHTXe5RezwefPLJKjQ0NCAnJwdLl94Kk8kkY3TKF1WifuGFF7Bu3ToYDAYMHDgQ\nv/71r1kTl4hirqKiAidPHoNen4KMjIxePw7nnOMjJeVyqvnkk1WorKyARqOBy+XExx+vxJ13fkvG\n6JRPG82dZ8yYgU8//RQff/wxBg0ahNdff12quIiIrnL2bBW+/HI1Tp8+joyMdBiN0fXEZs4sQUFB\nIUwmEwoKCjnnHCNth74bGhrajWI0NDTIFZZqRNWjLi4ubv33+PHj8a9//SvqgIiIrnThQi0OHToA\nIcKSngPNOef4aLuYLCcnBy6Xs3UUIycnR8bI1CGqHnVbK1asQEkJv40SkXRcLhc2bizHvn1fIy3N\nBLNZuiRN8eHz+ZCdndv689Klt2LQoCKYzekYNKgIS5feKmN06tBtj3rZsmWor6+/6vdlZWUoLS0F\nALz22mvQ6/VYvHix9BESUdIJBoPYs2cXGhoakJlphcHQ+2piJC+Xy4X+/fu3/mwymTgn3UMaIYSI\n5gFWrVqFDz74AO+++y4MBoNUcRFREhJCYN++fTh9+jQyMjIuHTVJatbU1IRvfOMbcoehalHNUZeX\nl+PNN9/EX//61x4n6bo6ZzSXVoS8vAzVtyMR2gAkRjsSoQ1A79tRWVmJY8cOw2QywmAwwesNQs7z\noM3mVLjdPtmuLwVltEEX9d91Irw38vJ6vzshqkT97LPPIhAI4N577wUAjBs3Dr/85S+jeUgiSjIX\nL17Evn1fQ4hwVAdmkPIEAgHk5PSROwzViypRf/HFF1LFQURJxu/3Y9euHXC5HL0qVkLK53Q6MWnS\n9XKHoXqsTEZEcSWEwMGD+3HuXBWsViuTdALT6QwwGo1yh6F6TNREFDdVVZU4evQwTCaTJMdOkrKZ\nzWlyh5AQmKiJKObsdhv27v0aoVAQFgvnoZNBOBxGenrvF1DRZUzURBQz4XAYX3+9Cw0NdcjMzATQ\n+RGSlFjsdjvGjJkgdxgJgYmaiGLi7NkzOHToAMxm86UkTcnEZEpjJTmJMFETkaSaz3X+CoGAnwk6\nSfn9fuTnF8gdRsJgoiYiSbSs5rbZLsBgMCE1lZUKk5XL5cINN8yUO4yEwURNRFG7cKEW+/fvgcFg\nQHZ2lgKqYZGcrNYsln+VEBM1EfVaIBDAzp3b4fE4kZHB1dwEuN0ujBgxWu4wEgoTNRH1yokTx3Dy\n5HFYLBYmaWoVDgv07dtP7jASChM1EfWIzdaIPXt2Q6MBi5ZQO0IIZGbyb0JqTNREFJFQKIQ9e3a3\n2RNN1J7dbkNxcYncYSQcJmoi6taZM5U4cuQg0tPTmaSpU0ZjGquRxQATNRF1yufzYfv2rdwTTd3i\n3unYYaImog6dPn0SR48eQWamFamprDDVFa/Xi40bN8DhsMNisWLmzBKkpiZXuVSPx4Phw0fKHUZC\n0sodABEpi9frRXn5OlRWnkJ2dha0Wn5MdGfjxg2oqalGU1MTamqqsWFDudwhxVUwGERBQV9oNBq5\nQ0lI7FETUauTJ4/jxIljyMzMhEajjh6hEnqzDoe9NUlpNBo4HPa4Xl9uTqcTU6cWyx1GwuJXZSJC\nU1MTysvX4cyZSmRlZamqZ6SE3qzFYoUQAkDzFiWLxRr3GOQSDoeRm5sHnY79vljhM0uU5FoKlzT3\nopWboDvrOSuhNztzZgk2bChvF1uysNvtmD17ntxhJDQmaqIk5fF4sGPHNgBCFYVLWnrOGo3m0gld\n5Zg3bz4sFis8Hg80Go1svdnU1FTMmzc/7teVWzgcRmZmdtItnIs3JmqiJHT06GFUVp6G1WpVdC+6\nrc56zsnUm1XCfHxbdrsdJSWlsl0/WTBREyURl8uFnTu3QauF6vZFd9ZzTqbebGejCnIIh8PIysqB\nyWSS5frJhIvJiJLEkSOHsXlzOUwmI4xG9X24zpxZgoKCQphMJhQUFCZ0z7kzSpiPb2G32zFmzDjZ\nrp9M2KMmSnAulxM7dmxDSopWdb3otpKp59wZJczHA5fnptmbjg/2qIkSWHMveiPS0kwwGo1yh0NR\nUsqogs1mw9ix42W5djJij5ooAXm9XmzbthkajUBmZvLs6U10ShhVCAQCyM8vZG86jpioiRLMmTOV\nOHz4IDIz1bOim9TD7Xbjhhtmyh1GUmGiJkoQoVAIO3Zsg8fjRFaWeuei40lp252UzuPxYNiwEaz/\nHmdM1EQJoL6+Drt370RGRjrPA+6BeG13SqQvBIMHD5U7hKTDr0VEKiaEwL59e/D117uQmWlFSkqK\n3CGpSry2OymhHnm0mrdjTZA7jKTEHjWRSrlcLmzfvhl6vR5Wq0XucFQpXtudlLT/uTfC4TDS0y3I\nycmRO5SkxB41kQqdOHEMmzeXw2w2q3YIVQnitd1J7adr2e12TJo0Re4wkhZ71EQqEggEsHXrZoRC\nflUXL1GKeG13UnM9cr/fj/79B8JgMMgdStKKKlG/+uqrWLt2LbRaLXJycvCb3/wGeXl5UsVGRG2c\nP38O+/fvgdVqRWqqWe5wqAeUsP+5t3w+H6699jq5w0hqUQ1933///fjkk0/w97//HbNnz8Yf/vAH\nqeIiokvC4TB27tyGQ4cOICsri1tjKG5cLhdGjhzN/fgyi6pHbTZf/lbf1NTEDxAiidlsjdi5cxvS\n0kywWLjtKlY62j5lNif33L8QAjqdHv369Zc7lKQX9Rz1K6+8go8//hgZGRl49913pYiJiAAcOXII\nZ85UcC46DjraT7106SK5w5KVzWZDcTErkClBt4l62bJlqK+vv+r3ZWVlKC0tRVlZGcrKyvDGG2/g\nr3/9Kx599NGYBEqULILBILZs2YRwOMgkHSdq3z4ltUAggIKCvsjI4LY/JdCIlj0DUTp//jweeugh\n/OMf/5Di4YiS0oULF7B582ZkZGSweEkcff7556iurm7dT11YWIgbb7xR7rBk43Q6sWjRIs5NK0RU\nQ9+VlZUYNGgQAGDt2rUYMmRIxPetq3NGc2lFyMvLUH07EqENQGK0o6amAvv3H4bVaoXXGwQQlDuk\nXjGbU+F2++QOo0emTi1ut31q6tRiAFBdO67U9rWItIyp3W7DxInXo77eFe9wO5UI7++8vN6vMYkq\nUb/88ss4ffo0tFot+vbti1/96lfRPBxRUmoe6t4IozEFVqu6CmEkCjVvn4pUJHXNA4EA+vQpZAUy\nhYkqUf/ud7+TKg6ipFRfX4ddu3bAYslAWlqa6ntwpFyRzMM3NXlRXKyeYizJgpXJiGRy5MghVFVV\nKv5IykQ6+SmZdVfX3G63Y+LEqZyXViBufCaKs2AwiA0bvkJtbbUqhroT4eQn6rqueSAQQG5uHw55\nKxR71ERx1Hxu9I5Lq7rVUTuZW5cSQ1fz8E1NTRzyVjAmaqI4OXz4IM6ePaO6vdHxOgqS5MEhb+Vj\noiaKsUAggC1bNkKIsCqGuq8Uq5OfOPctPw55qwMTNVEM1dVdwO7dO2GxqLeASay2LkWyXYhii0Pe\n6sBETRQjLUPdSl/VLRfOfcvLbrdjwoQpHPJWASZqIokFg0Fs3rwRQEiVQ93xwrlv+bQMeefm5sod\nCkWAiZpIQg6HHVu2bLo01K2OVd2x1Nk8tNfrRSAQwNmzZwEA48aNl2zum7omhGBhE5XhPmoiiZw5\nU4mtWzchKytTtfPRUutsD/bGjRvQ0FCPAQMGoH///tDr9VxIFic2mw3Tpk3nkLeKsEdNFCUhBPbt\n24P6+jrVbb2Ktc7moTk/3XvRrJZ3uVwYMWI00tPTYxwlSYmJmigKgUAAmzdvgFarQUYGP/yu1Nk8\nNOenI9NRUu7tavlAIID0dAuKiopiHzhJikPfRL3U2HgRX365GgYDh20701nZyq7KWdJlHU0d9HY0\nwuNpwuTJU2MZLsUIe9REvVBRcQrHjh1VxNYrJRcO6WwPdjIcKymFjpJyb0YjbDY7pk0rhlbLvpka\nMVET9YAQArt374TD0YjMTGUM10ZTOETJSZ46niLoaaU4t9uNoUOv4fSCijFRE0XI7/dj06Zy6HQp\nMJvlnY9um2CPHTuGwsJC6HS6Hi/MYnUwZesoKfdkNCIUCsFoNGHo0GExjpRiiYmaKAINDQ3YuXMb\nrFaLIoYP2yZYv9+PyspKDB06tMcLs7j6WtminSJwu92YOpXz/2on/ycOkcKdPHkcu3dvQ1ZWpiKS\nNNA+wRYVFcFgMPRqYZbFYoUQAgC4+jrB2O02TJ8+nXv6EwB71ESdEEJg587tcLkcsFp7tmgs1nO/\nbecutVotJk+e0queV6xOxooE58djx+NpwsCBg5GTk4O6Oqfc4VCUmKiJOuD1erFpUzmMxlSYzeYe\n3z/Wc79SJVg5V19zfjw2QqEQdDodRowYJXcoJBEmaqIr1NfXYdeu7cjMzOx1mcVYz/0mwvYmzo/H\nhtPpRGnpArnDIAkpY8KNSCEqKk7h6693ICsrK6payJz77R6fI+nZ7XZMnDgFOh37YImErybRJc31\numt7PB/dETnnftUimueI89tXc7vdGDLkGuTm5skdCkmMiZqSXjgcxpYtmxAK+ZGeniHJY8Z7aFqN\niaur56i79nB+uz2/3w+Lxcr90gmKQ9+U1LxeL9atWwONRsBoNMkdTq91dpykWnXXHs5vXxYOhxEI\nBDFx4hS5Q6EYYaKmpHXx4kWsX78W6elm1c/pJVri6q49nN++zG53YMaMWTxfOoExUVNSOnOmEjt3\nbot60ZhSJFri6q49PH2rmc1mx5Qp06DX6+UOhWJI3d0Iol44dOgAqqvPKuZQDSlcuTBrypSpWLNm\ntSLnrCOZT+9uoVkibE+LlsvlxPDho5CdnS13KBRjTNSUNIQQ2Lp1M3w+LzIyLHKHI6krE9eaNasV\nu9gqkoVgTMRd8/t9yMnpg6KiIrlDoTjg0DclBb/fj3XrVkOIINLS1LtoLFJKnrNWcmxqEAqFEA4D\nY8eOlzsUihMmakp4drsN69atQVpaGnS65JjLU/KctZJjUwOXy4Xi4pkJsbaCIsNETQnt/Plz2LZt\ns6JOvooHJS+2UnJsSmez2XD99cWq36VAPcNXmxLW0aOHUVVViczM6CuNqY2S53iVHJuSOZ1OjB49\nhiMQSUiSLsaf//xnjBw5EjabTYqHI4qKEAI7dmxDdfU5WCyJtWgs0Xm9XqxZsxorV67AmjWr4fP5\n5A5JEbzeJuTnF6JfvwFyh0IyiLpHXVNTg82bN6Nv375SxEMUlWAwiI0b10OnS0FaWprc4SiaEsuO\nsjTo1YLBIHS6VFx33Vi5QyGZRN2jfu655/DEE09IEQtRVJqamvDll6uRmmqAwWCQOxzFU2LZUa4I\nb08IAbfbg2nTiuUOhWQUVY/6yy+/RGFhIUaMGCFVPES9YrPZUF6+DpmZVq6GjVA0STFWvXGLxQqP\nxwONRsMV4WiuPDZrVmlSLYSkq3WbqJctW4b6+vqrfv/YY4/h9ddfx1tvvdX6u5YtF0TxVFtbixMn\nDiArK/kWjUUjmqQYqyFqHg96WWNjI264YQaMRqPcoZDMNKKX2fXYsWNYtmwZjEYjhBCora1Ffn4+\nPvroI+Tk5EgdJ1GHTp06hX379iXlyu5o+Xw+rFu3Dna7HVarFXPmzIm4V/zBBx+gqamp9WeTyYQ7\n7rgjVqEmHbvdjilTpnDtDwGIIlFfqbS0FKtWrYLVGtm38ro6pxSXlVVeXobq26HmNhw9ehhnz55B\nRkYGzOZUuN3qXiGspja0LVEqhEBBQWFrj1pN7eiKXO1wOl0YOvQaFBUNifqx1Pz+bisR2pGX1/uz\n7iXbR93LzAvJAAAgAElEQVTyhiWKhz17dqOxsQEZGb3/45eCEldOx0MiDFEr8bXzeDwoKCiUJElT\n4pAsUa9du1aqhyLqVPPBGpsQCPhhNpvlDidptxMlQtESpb12fr8fZnMGRo8eI1sMpExcSkiqEQqF\n8NVXaxEOhxSzwIbbidRLSa9dKBRCKBTG5MlTZYuBlIuJmlShZY+00ZgKvV45B2vwgAn1UsprJ4SA\ny+XGjBmzuLWQOsRETYrncNhRXr4OFksGUlJS5A6nHR4woV5Kee1sNjtmzpytuL9tUg4eykGKVltb\ni717dyl2j3QizNUmKyW8djabDdOmFStmKoeUiYmaFOvMmUocPXqQe6Q7oMQVy8km2tfA4bBj3LgJ\nsFr5901d49A3KdLRo4dx/PgRfoh1Qol1upNNNK+B0+nEkCHDkZ9fGMMIKVGwR02Ko5Q90krRUc8t\n2hXL7JFHr7evgcfTfGTlkCFDYxkeJRAmalIMIQS2bdsCv79JEXuklaKj/b7RHl6htD3EsRLLLyS9\neQ18Ph/S09N5ZCX1CIe+SRGEENi0qRyBgA9Go0nucBSlo55btCuWGxrqcfr0KRw+fAinT59CQ8PV\nB+8kglhOEfT0NQgEAkhJ0WHSJO6Vpp5hj5pkFwqFUF6+Dqmpeuh0HH69Ukc9t2hXLNfW1sDpdEKr\n1cLv96O2tkbCiJUjlkVNevIaBINBBIMhlJSUcK809Rh71CSrQCCAr75aA6MxFTqdcgqZKEks9vsW\nFBQiI8MCnU6HjAwLCgoSc1GTEoqahEIheL1ezJw5m0maeoU9apKN1+ttLWSi1fI7Y2disd83OzsH\ngwcPbu2lZ2cn5tG0ch8eEg6H4XK5MWfOPP6NU68xUZMs3G43Nm78CpmZmexlyEDuBBYvchY1EULA\n4XBg9ux50On4UUu9x78eiju73YatWzcxSXch1tunUlNTMWPGzNZrbNhQHtU12sabl5eDqVOLk3q7\nlxACNpsNJSWlMBgMcodDKsdETXHV0NCAnTu3ISsrS+5Qeiza5NmT+8dj+9S6dWuxY8cO+P0+GAyp\nCAQC+MY3/q1Xj9U23urq6oTd7hWpxkYbZsyYBZOJOxgoepw0obipra3Frl3bFFu3uzvRbvXpyf3j\ncQTj3r174Xa7EAwG4Xa7sHfvnl4/lpKOjJRbS/3u9PR0uUOhBMEeNcXF+fPncPDgPlXX7Y42GfXk\n/p0V01BqRbHuin8oNW6p2Ww2TJw4BZmZ6hsxIuVij5pirqrqDA4d2g+rVd1nNUe71acn9+9sS5aU\nBTzGjRsPszkdOp0OZnM6xo0b3+vHahtvYeHVW8iSoTa53W7HmDHjkZubJ3colGDYo6aYqqg4hePH\nj8FqtcgdStSiXSndk/t3tlpZyiHm0tK50Ov1Ua38vrKnfNNNi5GdbYHb7YtZ3L2JK9Y9eLvdgZEj\nR6OwsG/MrkHJi4maYub48WM4c+Z0QiRpIPqtPlJsFYq2xndv4ukq6XW06G3p0kVRxS1Fko1nLXOn\n04mhQ6/BgAEDY/L4RBz6ppg4evQwqqpOtzsBy+v1Ys2a1Vi5cgXWrFkNn8/XxSNQR2JRpaw7XQ1b\nR9pT7kncUgyTx6sH73K50L//IAwZck1MHp8IYI+aYuDAgX24cKEG6entj6lU84lNSlkMJUcBj66S\nXqQ95Z7ELUWSlXLkoTMejxt9+hRgxIiRkj82UVvsUZOkDhzYh/r62g63pqh5C08yLIbqTFeL4GLR\nw5eiPnesRx48Hjeys/N4XCXFBXvUJJmWJJ2W1vFZ0vHo5cRK2y8ZoVAIO3fukL13HS9dLYKLRQ9f\nivKmsRx5aEnSY8f2fpU8UU8wUZMkukvSgLrrS7f9klFZWQkAaGpqUt0Qfm/Ee7hdzvrc3WGSJjkw\nUVPUIknSgLI/gLvT9kuGwWBA377N23DUNoRPvefxeJikSRZM1BSVAwf2oa6uFmZz10la7dp+yViz\nZjVqaqoByHfGMcVXc5LOZZImWXAxGfVasiTpK8mxRYrkwyRNcmOPmnolWZM0oO4h/EQn9TY6JmlS\nAvaoqcda5qSTMUmTskm5jY5JmpSCPWrqkWTuSZM0Ylk8Rqq9+h6PB4MHD8CgQSMkiYsoGuxRU8SS\nMUmz7Kn0Ylk8RopiKS096cmTJ0sWF1E0mKgpIrFK0kpPhMlckSxWYlmhLtqFfhzuJiWKauj7D3/4\nAz788EPk5OQAAMrKylBSwhWwiebgwf0x60krvf63msueKlUsK9RFs9DP4/EgKyuHSZoUJ+o56mXL\nlmHZsmVSxEIKdPDgfly4UBOz4W6lJ0I1lz1VKiVWqGNPmpQs6kTdMh9EiSfWSRpQfiJUYlLpiFJO\n94qE0ra3MUmT0kWdqN977z18/PHHuO666/DjH/+43fnDpF5HjhyKeZIGep4I452QlJZUOqP0KQSl\nYu1uUgON6KZLvGzZMtTX11/1+7KyMowfPx5ZWVnQaDR45ZVXUFdXh+eeey5mwVJ8HDlyBMePH1fk\nl67PP/8c1dXVrT3wwsJC3HjjjXKHJbsPPvgATU1NrT+bTCbccccdMkakfC6XC/369cOECRPkDoWo\nS932qN9+++2IHuj222/Hd7/73YgvXFfnjPi2SpWXl6H6dlzZhoqKCpw8eQQZGRa43cpagQ0AdXUN\nCARC7X52u30wm1MVGW9PRNMGo9EMm83R+gUmKytXtudDDa+Fy+VE374D0L//NZ2+hxPx/a1WidCO\nvLzed3yiGvquq6tDXl4eAGD16tUYPnx4NA9HMjt37iyOHz8Cq9UidyidUsqcttLmhNUyl64ETqcT\nAwcOxrBh/LwidYgqUb/44os4fPgwtFot+vXrh6efflqquCjOamtrcfDgfmRmKmsx15WUkpA2btyA\ns2erUFVVBa+3CYcOHcBDDz0sW7JWy1y63Ox2B665ZjgGDx4idyhEEYsqUb/wwgtSxUEyamhowN69\nu5CZmSl3KN1SSkJyOOyoqqqCy+WERqNBbe2FmCzgUlrPXc0cDjtGjLgWAwcOkjsUoh5hZbIkZ7fb\nsXPnVlUkaSWxWKzweptah+CNxtSY7AFnZTRp2Gx2XHvtWCZpUiUeyqFiHo8Hn3yyCg0NDcjJycHS\npbfCZDJFfH+3242NG7cgKysrhlEmppkzS3Do0AHU1l6A0ZiKwsK+OHu2CitXrpC056v0gjBqYLPZ\nMG7cJOTn58sdClGvsEetYp98sgqVlRVwu12orKzAxx+vjPi+zUOq69mT7qXU1FQ89NDDmDOnFKNH\nXwePxw2rNVPynq8Uh0z0lNLrr/dEY6MNkyZdzyRNqsYetYo1NDS06201NDREdL9gMIjy8nXIzLS2\n3p96ru18+cqVK1r3MUvZ84108ZyUc9mJUDxFCAGbzYYbbpihuGp3RD3FRK1iOTk5rYuZhBCth6N0\nJRQKYf36tbBYMpikJRSrbWORLp6TMrmqfbi9OUnbMWPG7KQ6kpUSF4e+VWzp0lsxaFARzOZ0DBpU\nhKVLb+3y9kIIlJevQ1paGrRavvRSivZ4xWhJmVzlGG6XSigUgt3uwKxZpUzSlDDYo1Yxk8mEO+/8\nVkS3FUJg48ZypKbqkZKSEuPI4qdlyNfrdcNoNMu2fUnubWNS9uiVsle9p4LBIJqavCgtnQ+djh9t\nlDj415wktm3bAo1GQKczyB2KpFqGfFNT9bDZHKqcT5WClMlV7i8dvREMBhAIhDBnzjyOFlHCYaJO\nArt27YDf74XRaIz5teJdoEON86mxeI7UmFyl4vP5oNXqUFJSwnUXlJD41TPBHTp0AE6nLS5JGoh/\ngQ41zqeyiIl0PJ4mGI1pKC6ewSRNCYuJOoFVVJxCdfU5pKXFb1FNvHu4ci/i6g01jgIokcvlRG5u\nHqZMuZ5JmhIah74TVG1tLY4fPwqrNb49zHifbtUy5KuGoxVbKOUEMDVzOBwYPHgohg4dJncoRDHH\nHnUCcjjs2LNnZ9yTNKDOHm688TmKjs1mx6hR1zFJU9JgjzrB+Hw+bNmySbb63XIvaorXYrZoriP3\nc6RWLdXGJk+eFlFxH6JEwR51AgmHw9iw4SvFnykdS/FaqMUFYfEVDodhs9kxffosJmlKOuxRJ4iW\ngiZpaaakXlgTr4VaXBAWP82FTJowZ848GAyJVQeAKBLsUSeIXbu2XypoktzfveK1XUuN28LUyOfz\nIRgMYc6c+UzSlLSYqBPAoUMH4HI5ZCmdqTTxWqjFBWGx5/E0ITXVhJkzZ7PaGCW15O5+JYCKigpU\nV59DRkaG3KEoQrwWanV1nXhXZ0tELpcTffoU4rrrxsodCpHs+DVVxWpra3HixGEmaYXhQrPo2O0O\nDBo0hEma6BL2qFXK6XRgz56dMd+Gxd5hz3GhWe/ZbHaMHj0G/fr1lzsUIsVgolYhv9+PzZs3xmWv\ndEvvUKPRwOPxqOJ0Krm/XLDyWM9xjzRR5zj0rTLhcBjl5etgtVricj019g7lHnrmQrOe4R5poq6x\nR60yW7duRlqaKW6rYNXYO5T7ywUrj0UuEAjA6/VyjzRRF9ijVpEDB/YhGPTFda+0GnuH3OOsDl5v\nE7TaFO6RJuoGe9Qqce5cFWprq+O+wluNvcOZM0uwYUN5uzlqUhan04U+ffIxZsw4uUMhUjwmahVw\nOOw4eHA/MjMz5Q5FFdT45SKZ2O12DBs2CkVFRXKHQqQKTNQKFwwGsXXrJiZpUr2Wld2TJl2P3Nxc\nucMhUg0magUTQmDz5g2qLmgi91YpUoZQKASXy42ZM+cgLS1N7nCIVIWJWsH27dsDjQZISUmRO5Re\ni/c+bH4xUB6fzwdAg9LS+ar+WyaSC1d9K1RFRQUaGi6oPsnEe6uU3HuoqT2Xy4WMDCtmzJjFJE3U\nS+xRK1Bj40UcO3YYmZnq31YU733YFy/W4/Tp0/D5vEhNNXLbj4wcDjsGD74GQ4cOkzsUIlWLukf9\nl7/8BTfeeCMWL16Ml156SYqYklogEMD27VsTIkkD8d+HXVNTA6fTgWAwCKfTgZqa6phej64mhEBj\now1jxkxkkiaSQFQ96m3btmHdunX45z//CZ1Oh4sXL0oVV1ISQmDjxvK4lQeNB6m2SkU695yfXwC7\n3Q6fz4fU1FTk5xdEfW2KXCgUgsPhwPTpJUhPT5c7HKKEEFWifv/99/HAAw+0VsrKzs6WJKhktXv3\nDuj1KTErD9pRsjOb1TEHHumitJycXAweHGgdas/JkWYbEBepdc/v9yMUCuPmm29CY2OT3OEQJYyo\nMkJFRQV27tyJ22+/Hd/+9rexf/9+qeJKOidPHofdbovpnKqaF1pFuigtVkPtan7u4sHtdsNkSkNJ\nyZy4lrglSgbdvqOWLVuG+vr6q37/2GOPtQ5zffjhh9i3bx8ee+wxrF27NiaBJrL6+jqcOnUCVmts\n56XlPqwiGpEuSotVVTI1P3ex5nA4MGBAEUaMGCl3KEQJqdtE/fbbb3f6/5YvX44FCxYAAMaOHQut\nVovGxsaIzknOy1NvEY+2om1HIBDApk370LdvH4ki6lxeXg6qq6tbk11eXvORgmoY/r7xxvlYt24d\n7HY7rFYr5syZc9XQcyzb0dFzF4vrqeG1aNFSaWzGjGkYMGBAu//H97dyJEIbgMRpR29ENUY1b948\nbNmyBVOmTMHp06cRDAYjStIAUFfnjObSipCXlxF1OzZsWA+dzgC32ydRVJ2bOrW43WEVU6cWA0Bc\nri2FmTPntP47GASCwctxm82pMW1HR8+d1NfrrA1KnB8PBoNwudwoLp4JozG93ftAiveFEiRCOxKh\nDUBitCOaLxpRJepbb70VTz75JBYvXgy9Xo/nn38+modLOkeOHEY4HEJKij4u1+NhFb0n53MX7+pu\n3Wlq8kKvN2DevIVxOxedKJlFlaj1ej1efPFFqWJJKg0NDaiqqoj5vDSpn5Lmxx0OB/r27Y9rr71O\nthiIkg2XZ8ogFAph165tMT8RS4lDptRz8a7u1pGW+eixYyegsLBv3K9PlMw4biWDbdu2xOVELG4p\nSgzxru52pUAgAKfThZkz5zBJE8mAPeo4O3HiGPz+JqSlmWN+LSUNmVLvyTk/7vF4YDSaUFo6n/PR\nRDJhoo4ju92GkydPICsrtkPeLZQwZJrs1Dz9YLfbMXBgEUaMGCV3KERJjV+R4yQcDmP79i1xS9KA\n/EOmpM7ph+ZDNRoxduxEJmkiBWCPOk527NgGszn2w91tqWk7lpp7nl1R2/RDMBiA1+tDSUkpTCaT\n3OEQEdijjouKilPweFysgdwFNfY8I2GxWCGEAADFTz+43W7o9UbMmTOfSZpIQZioY8zlcuLYsSNx\n702rjdp6npFSy/SD3W7HgAGDMGXK9a2vAxEpA7t4MSSEwLZtW1jUJAKJuvBN6dMP4XAYdrsdkyZd\nj9xcaY4EJSJpsUcdQ7t374TJlMoeSgTU0vNMJH6/Hx5PE+bMmc8kTaRg7FHHSF3dBTQ2NsBiscgd\niiooveeZaBwOJ3JycjF9+kR+kSRSOCbqGAiHw9i7dzeTtIIl6irz7jRvvbJhzJix6NdvQPd3ICLZ\nMVHHwNdf7+Kq2RjqKMn29BxnpZ1IFQ9+vx9+vx+zZnHrFZGaMFFLTM1D3mrpZXaUZJcuXdSjx0jU\nVeadcTqdyMnJw7hxEzjUTaQyXEwmIbUPeatlL7MUSVZN+5uj0VJlbOTI0Rg/nvPRRGrERC2hPXt2\nq3pIUS29TCmSbDKsMvf5fHC73SgpKUW/fv3lDoeIeolD3xKpq7uAixfrVdubBtSzl3nmzBJs2FDe\nboi+pxJ9lbnT6UR2di570UQJgIlaAs1D3l+rOkkD0iTAeEj0JBsNIQRsNhuuu24ce9FECYKJWgJ7\n9uxGWpp6h7xbMAGqm8/nQyAQ5IEaRAmGiTpK9fX1qh/yjge1rCiPh1g8F06nAzk5fbiqmygBcTFZ\nFIQQ2LNnF5N0BNSyojwepHwuWlZ1jxo1hvPRRAmKPeoobN++HWlpRrnDUAW1rCiPB6meCw51EyUH\n9qh7yWZrxPnz56HT6eUORRWSZd9yJKR4LhwOByyWTMyZM49JmijBMVH30t69XyMrK0vuMFQjGfYt\nRyqa5yIUCl2q1T2O89FESYJD371QWVkBIUJyh6EqXFF+WW+fC7fbjdRUE+bOXQCdjm9domTBd3sP\nhcNhHD16GJmZyTt0S/HVsjd62LCRGDJkqNzhEFGcMVH30P79e2E2c06Q4sPn8yEYDGHGjNkwm81y\nh0NEMmCi7gGPx4OamvOcm6a4sNvtKCzsh9Gjx3AumiiJMVH3wJ49u5CZmSl3GNSJRCmqEgwG4Xa7\nMXHiVOTk5MgdDhHJjKu+I1RbWwuPx82ejYIlQlEVl8sJnc6AuXMXMkkTEQD2qCMihMDBg3tZgUzh\n1FxUJRwOo7GxEcOHj0L//gPlDoeIFISJOgLHjh3ldhgVUMsxnVfyeJqg1WqxePFNsNt9codDRArD\noe9uBINBVFaegtHIUqFKp8aiKjabHX379kNJyRwYDAa5wyEiBYqqm1hWVoaKigoAzStUrVYrVq1a\nJUVcirFnz25kZGTIHQaAxFksFStqKqoSCATg9fowbVqxanr+RCSPqBL1K6+80vrv559/XjEJTSou\nlwsNDfXIylLGSu+WxVIajQYejwcbNpSrJjHRZQ6HA7m5fVBcXMLFiUTULckmXj/77DO8++67Uj2c\nIuzfv0dRFcjUvFiKgGAwAI/Hi3HjJiIvr4/c4RCRSkgyR71z507k5uZi4MDEWa3qcjnbJUYl4AlU\n6mW322EypWPu3AVM0kTUI932qJctW4b6+vqrfl9WVobS0lIAwD//+U8sWrRI+uhktH//XsUVN5k5\nswQbNpS3m6MmZQsEAmhq8rJ4CRH1mka0dNF6KRQKoaSkBCtXrkR+fr5UccnK6XRizZo1LBVKUbHZ\nbOjXrx8mT56sqJEZIlKXqOeoN23ahCFDhvQ4SdfVOaO9dMxs2bIRer0JbnfXe1rN5tRub6N0idAG\nQFnt8Pv98Pn8mDBhMrKzs1Ff74rofnl5GYp+X0SK7VCORGgDkBjtyMvr/WLrqBP1Z599llDD3i6X\nCw6Hnb1p6hW73Yb8/L4YM2Yce9FEJImoE/Wvf/1rKeJQjIMH9ylublouV+7bnjJlKnbs2M593B3w\n+XwIBAKYMuUGZGbySx4RSYeVydrw+Xyw2RrZE7rkykMu3nnnLdUfehELdrsNmZnZmDNnPpM0EUmO\nBazbOHBgL6zWxNry1NNqZm1vf+zYMfTt2xcpKSnQaDRobGxETk4uAO7jBlp60UFMnVoMq5WjMEQU\nG+xRXxIMBlFfXwetNrGekp4e/dj29n6/v7VErBACWVlZ3MeN5rbbbHZkZ+dizpx5TNJEFFPsUV9y\n6NCBhCuBCvS8mlnb2w8aNAjV1dUwmUywWKxYsuRmbN++Lan3cft8PgSDIdxww3RkZPDYUyKKPSbq\nS+rqLkCv1+Grr9Yl1GKpnh792Pb2KSkpmDx5Srt64slaWzwcDsNut2PQoCEYMWIk1zEQUdwk1jhv\nL9XW1gIQPR4m7g2v14s1a1Zj5coVWLNmNXy+2O797enRj2o8KjLWXC4nhABmzZqLkSNHMUkTUVyx\nRw2gouIkMjIy4nLoRbxPwOrp0Y9qOioy1loO0Rg9+joUFvaTOxwiSlJJ36MOh8Ow2RoBxOfQC56A\npXxCCDQ22pCebsXcuQuYpIlIVkmfqE+dOoG0tDQA8Rn25QlYyubxuOHz+TF9egnGjh3PYW4ikl3S\nD33X1FS3LhiLx7AvT8BSplAoBKfTheHDR6KoaLDc4RARtUrqRO31euFyuZCdHb9qUpwDVh673YGs\nrGzMnVuMlJQUucMhImonqRP10aOHYbVyL2yyatkTPWnSVGRnZ8sdDhFRh5I6UV+8WA+z2Sx3GBRn\n4XAYDocDgwYNxvDh3BNNRMqWtIm6oaEBoVBI7jAozpxOJ9LSzJg9ex4MBoPc4RARdStpE/Xp0ydh\nsXDYO1n4fD74/QGMHj0GBQV95Q6HiChiSZuoPR43jEZ1lwel7oVCIdjtDhQVsfQnEalTUiZqIQQT\ndRKw2RqRlZWLuXMXQK/Xyx0OEVGvJGWivnChFqmpnJ9MVC6XGzqdDtdfP51HUBKR6iVloj5//hzS\n0rjaO9H4/X54vT6MHHkt+vcfIHc4RESSSMpE7fG4odcnZdMTUigUgs1mQ3Z2PkaNGs15aCJKKEmZ\nrdxuFzIzOSSqdkII2Gx25OTkYN68+bDZvHKHREQkuaRL1Ha7rUe393q92LhxQ7va3C21wUk+DocD\nRmMapk8vQXp6+qXFYkzURJR4ki5RV1Wd6dH+6XifH01d83g8EAIYO3YC+vTJlzscIqKYS7pE7XI5\nodVGfronz49WBr/fj6YmL665ZhgGDx4qdzhERHGTdIk6FApBq4282RaLFR6PBxqNhudHyyAQ8MPl\n8mDgwCKMHDmKC8WIKOkkXaIOBoM9WvHN86PlEQgE4HK50K/fANxwQ0mPRkGIiBJJ0iXqUCjYo9vz\n/Oj4CoVCcDgcKCjoi2nTZvB8aCJKekmXqINBnpilRC0Juk+fAkyZcgN0uqT70yQi6lDSfRoGgz3r\nUVNshcNh2Gw25Ob2QWkpa3ITEV0pqRJ1MBiERiPkDoPQUqzEhuzsXMyZM59704mIOpFUiVqr1UII\nJurekqL4S0uCtlqzMHPmHKSlpcUoWiKixJBUS2mbVw4nVZMl1VL8pampCTU11diwoTzi+wohcPFi\nI8JhgenTZ2HatGImaSKiCCRVjxoAtFruw+2t3hR/CYVCsNvtyMzMxowZs5Cenh7rMImIEkpUifrI\nkSN46qmn4PP5oNPp8NRTT2HMmDFSxRYTOh0XK/VWT4q/NBcqcaNPnwJMmnQ9DAae/01E1BtRJeoX\nX3wRjz76KGbMmIH169fjhRdewF/+8hepYosJLlrqvUiKv3i9Xvj9fvTt25+FSoiIJBBVotZoNHA6\nnQAAp9OJ/HzlH5JgNJogBPdS90ZXxV+cThe0Wi2KigajqGgIS30SEUkkqkT9k5/8BPfffz+ef/55\nCCGwfPlyqeKKGZPJBJfLwZ6eBIQQl46bNOHaa69DYWFfuUMiIko43SbqZcuWob6+/qrfl5WVYfPm\nzfjpT3+KefPm4fPPP8eTTz6Jt99+OyaBSqWoaAg2b16PzMwsuUNRrXA4DLu9efh7ypRpfC6JiGJI\nI6LYWDx58mTs3Lmz9edJkyZh165dkgQWS5999hlMJpPcYaiO3++H2+1Gfn4+xo8fz+1VRERxENXQ\nd35+PrZv346pU6diy5YtKCoqivi+dXXOaC4dFa3WCJfLG/U8qtmcCrfbJ1FU8uiuDUII2O12pKYa\nUVBQiHHjrodWq4XbHYLbLd9reKW8vAxZ/6akkAhtANgOJUmENgCJ0Y68vIxe3zeqRP3MM8/g2Wef\nRTgcRmpqKp555ploHi5uRo68Fhs2fIWsrEy5Q1Esv795e1V2djamTr2Bw9tERDKJKlFPnDgRK1eu\nlCqWuElLS0NWVjbC4SAXlbXRXN7TDpPJhIKCviguHsbnh4hIZklXmazFmDHjsH79WmRnZ8sdiux8\nPh88Hg+ysnJQXDwDGRkWuUMiIqJLkjZRm0wmDBlyDc6fP5uUi6JaDsfQ67NRWNgPQ4cO495nIiIF\nStpEDQDDh49EfX0dQqEQUlJS5A4n5lqSs8FggMVixfTpJRg8uK/qF2kQESWypE7UAHD99cVYt24N\nzOa0hEzWzXuebUhNNcJqzUJx8UwObRMRqUjSJ+qUlBTMmTMP69d/CaMxFTqd+p+S5hOrHDCZTMjM\nzMKYMRNgNpvlDouIiHpB/VlJAikpKZg9ey62bt0Mt9utyqTWcpxkWpoZWVnZmDBhCoxGo9xhERFR\nlJioL9FqtSgunoHKygocOXIQVqtV0VuTwuEwHA4HNBoNzOZ0WK2ZmDhxKk8HIyJKMEzUVxg0qAiF\nhX3+2AoAAAnhSURBVH2xb98e1NdfgNVqVcTcdTAYhMPhgE6nh9lsRnp6Bq69dkyXZ0ITEZH6MVF3\nwGAwYPLkqQgEAjh06ADq6y8gHA7DYrHEbQtTc2UwFwwGA8zmdGRl5WL8+MlJuZWMiCiZMVF3Qa/X\nY9y4CQCAxsaLOH36FJxOOzyeJqSmGmAy6aN6fL/fj6YmD4LBEPR6AwyG5v9SU1ORlZWLqVOLYDAY\npGgKERGpFBN1hLKyspGV1VzFLBwOo76+Hn6/Az7fRQSDAQSDQYRCQQQCwdb7aDS41APXXPq3Fnq9\nHgZDKgwGA3Jz+yA3Nw8ZGfHrqRMRkbowUfeCVqtFnz59kJc3lMVCiIgoppS7rJmIiIiYqImIiJSM\niZqIiEjBmKiJiIgUjImaiIhIwZioiYiIFIyJmoiISMGYqImIiBSMiZqIiEjBmKiJiIgUjImaiIhI\nwZioiYiIFIyJmoiISMGYqImIiBSMiZqIiEjBmKiJiIgUjImaiIhIwZioiYiIFIyJmoiISMGYqImI\niBSMiZqIiEjBokrUR44cwZ133oklS5bge9/7Htxut1RxEREREaJM1D/72c/wwx/+EJ988gnmz5+P\nN998U6q4iIiICFEm6oqKCkyePBkAUFxcjC+++EKSoIiIiKhZVIl62LBh+PLLLwEAn332GWpqaiQJ\nioiIiJrpurvBsmXLUF9ff9Xvy8rK8Nxzz+HZZ5/FH//4R5SWlkKv18ckSCIiomSlEUIIKR6ooqIC\nTzzxBD788EMpHo6IiIgQ5dD3xYsXAQDhcBivvfYa7rzzTkmCIiIiombdDn135Z///Cfee+89aDQa\nLFiwALfeeqtUcREREREkHPomIiIi6bEyGRERkYIxURMRESkYEzUREZGCxSVRv/rqq1iyZAluvvlm\n3Hfffairq+vwdqNGjcItt9yCm2++GQ8//HA8QuuRSNuxatUqLFy4EAsXLsTf//73OEfZtRdeeAHf\n+MY3sHTpUjz66KNwuVwd3q60tLS1rd/85jfjHGX3Im1HeXk5brzxRixcuBBvvPFGnKPs2ueff45F\nixZh1KhROHjwYKe3U/prEWk7lPxaAIDdbse9996LhQsX4r777oPT6ezwdkr8nOruufX7/SgrK8OC\nBQtwxx134Pz58zJE2bXu2rBq1SrccMMNuOWWW3DLLbdgxYoVMkTZvSeffBLFxcVYvHhxp7d59tln\nsWDBAixduhSHDx/u/kFFHLhcrtZ/v/vuu+IXv/hFh7ebMGFCPMLptUjaYbPZxNy5c4XD4RB2u731\n30qxadMmEQqFhBBCvPjii+Kll17q8HalpaXCZrPFM7QeiaQdoVBIzJs3T5w9e1b4/X6xZMkSceLE\niXiH2qmTJ0+K06dPi29/+9viwIEDnd5O6a9FJO1Q+mshhBAvvPCCeOONN4QQQrz++uvixRdf7PB2\nSvuciuS5fe+998RTTz0lhBDi008/FY899pgMkXYukjasXLlSPPPMMzJFGLkdO3aIQ4cOiUWLFnX4\n/7/66ivxwAMPCCGE2LNnj7jtttu6fcy49KjNZnPrv5uamqDVdnxZofAF6JG0Y+PGjZg+fToyMjJg\nsVgwffp0bNiwIZ5hdqm4uLg17vHjx3da9lUIgXA4HM/QeiSSduzbtw+DBg1Cv379oNfrcdNNN2Ht\n2rXxDrVTQ4YMQVFRUbd/90p/LSJph9JfCwBYu3YtbrnlFgDALbfcgjVr1nR4O6V9TkXy3LZt28KF\nC7FlyxY5Qu1UpH8fSnvuOzJ58mRYLJZO///atWtx8803AwDGjRsHp9PZYfXPtuI2R/3KK69g9uzZ\n+Mc//oHvf//7Hd4mEAjgm9/8Ju68885O3yRy664dtbW1KCwsbP05Pz8ftbW18QwxYitWrEBJSUmH\n/0+j0eC+++7Dv//7vyu+2lxn7ejotbhw4UI8Q5OEml6Lzqjhtbh48SJyc3MBAHl5eWhsbOzwdkr7\nnIrkub1w4QIKCgoAACkpKbBYLLDZbHGNsyuR/n188cUXWLp0KX7wgx+o9myJtq8FEFmOiKrgSVtd\n1QQvLS1FWVkZysrK8MYbb+Cvf/0rHn300atuu27dOuTl5aGqqgr33HMPRowYgQEDBkgVYkSibUdH\n3/g0Gk3M4u1Id20AgNdeew16vb7TeZTly5cjLy8PFy9exLJlyzBkyJDWk9LiJdp2KOHbdyRt6I5a\nXouuKOG1ADpvx2OPPRbxYyjhc6qtSJ7bK28jhIj751JXImlDaWkpFi1aBL1ej+XLl+NHP/oR3nnn\nnThEJ63e5AjJEvXbb78d0e0WLVqEhx56qMNEnZeXBwAYMGAArr/+ehw+fDjub4Bo21FQUIBt27a1\n/lxTU4Np06ZJGmN3umvDqlWrsH79erz77rud3qbltcjOzsb8+fOxf//+uCeHaNtRUFDQbtFMbW0t\n+vTpI2mM3Yn076krangtuqOE1wLouh05OTmor69Hbm4u6urqkJ2d3eHtlPA51VYkz21BQQFqamqQ\nn5+PUCgEl8sFq9Ua71A7FUkb2sZ7++2346WXXopbfFLKz89vNxpQU1PT7XshLkPflZWVrf9eu3Yt\nhgwZctVtHA4H/H4/gOYhqN27d2Po0KHxCC9ikbRjxowZ2Lx5M5xOJ+x2OzZv3owZM2bEM8wulZeX\n480338Rrr70Gg8HQ4W2amprgdrsBAB6PBxs3bsSwYcPiGWa3ImnHmDFjcObMGZw7dw5+vx+ffvop\n5s6dG+dII9NZj0INr0VbnbVDDa9FaWkpVq5cCaD5S2BH8SnxcyqS53bOnDlYtWoVgOZV+vHuPHQn\nkja03WWzdu1aXHPNNfEOM2JdjRDMnTu3dTfQnj17YLFYWqdcunrAmHv00UfFokWLxJIlS8R3v/td\nUVtbK4QQYv/+/eJnP/uZEEKI3bt3i0WLFomlS5eKxYsXi7/97W/xCK1HImmHEEL87W9/E/PnzxcL\nFiwQq1atkivcDs2fP1/Mnj1b3HzzzeLmm29uXQlaW1srHnzwQSGEEGfOnBFLliwRS5cuFYsWLRKv\nv/66jBF3LJJ2CCHE+vXrxYIFC8T8+fMV147Vq1eLkpISMWbMGDF9+nRx3333CSHU91pE0g4hlP1a\nCCFEY2OjuOeee8SCBQvEd77zHWG324UQ6vic6ui5ffXVV8WXX34phBDC5/OJ73//+2L+/Pnitttu\nE1VVVXKG26Hu2vDyyy+Lm266SSxdulTcfffd4tSpU3KG26nHH39cTJ8+XYwePVrMmjVLrFixQrz/\n/vti+fLlrbf51a9+JebNmycWL17c5Y6PFqz1TUREpGCsTEZERKRgTNREREQKxkRNRESkYEzURERE\nCsZETUREpGBM1ERERArGRE1ERKRgTNREREQK9v8Dp2wC0sETjekAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -210,10 +209,10 @@ "outputs": [], "source": [ "with model:\n", - " C = pm.Deterministic('C', T.fill_diagonal(C_triu[np.zeros((2, 2), dtype=np.int64)], 1.))\n", + " C = pm.Deterministic('C', tt.fill_diagonal(C_triu[np.zeros((2, 2), dtype=np.int64)], 1.))\n", " \n", - " sigma_diag = pm.Deterministic('sigma_mat', T.nlinalg.diag(sigma))\n", - " cov = pm.Deterministic('cov', T.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))" + " sigma_diag = pm.Deterministic('sigma_mat', tt.nlinalg.diag(sigma))\n", + " cov = pm.Deterministic('cov', tt.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))" ] }, { @@ -277,7 +276,7 @@ "name": "stdout", "output_type": "stream", "text": [ - " [-------100%-------] 4000 of 4000 in 29.3 sec. | SPS: 136.6 | ETA: 0.0" + " [-------100%-------] 4000 of 4000 in 4.1 sec. | SPS: 974.5 | ETA: 0.0" ] } ], @@ -316,7 +315,7 @@ "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1IAAACGCAYAAADXYbujAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQqFQKBTKKPn/jkbTapfuobgAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -389,7 +388,7 @@ "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1IAAACGCAYAAADXYbujAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -448,7 +447,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "However, the 95% posterior credible region is visuall quite close to the true credible region, so we can be fairly satisfied with our model." + "However, the 95% posterior credible region is visually quite close to the true credible region, so we can be fairly satisfied with our model." ] }, { @@ -476,7 +475,7 @@ "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFzCAYAAADxBEqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTNREREQqxkRNRESkYkzUREREKvb/AYXgv43sgWt3AAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -509,15 +508,6 @@ " '95% posterior credible region'],\n", " loc=2);" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Again, this model is quite simple, but will be an important component of more complex models that I will blog about in the future.\n", - "\n", - "This post is available as an [IPython](http://ipython.org/) notebook [here](https://gist.github.com/AustinRochford/fa24221f09df20071c06)." - ] } ], "metadata": {