{ "cells": [ { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "# Preamble" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "code_folding": [], "collapsed": false, "hidden": true, "init_cell": true }, "outputs": [], "source": [ "#Initialization Cell\n", "import numpy as np\n", "import scipy.integrate as si\n", "import scipy.stats as stats\n", "from scipy.constants import c as c_speed\n", "from scipy.interpolate import interp1d\n", "import matplotlib.pyplot as plt\n", "import lmfit\n", "%matplotlib inline\n", "\n", "plt.rcParams['figure.figsize']=[12.8*0.75, 9.6*0.75]\n", "plt.rcParams['font.size']=20" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "plt.style.available" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "x=np.array([i for i in range(100)])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "plt.plot(x,x**2)\n", "plt.plot(x,2*x**2)\n", "plt.plot(x,3*x**2,ls=':',marker='')\n", "plt.xlabel(r'$\\gamma$')\n", "plt.ylabel(r'$d\\,P_S/d\\,\\gamma$')" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "# Bayesian Inference (Wikipedia)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "from IPython.display import HTML, YouTubeVideo, Markdown, IFrame\n", "import wikipedia as wiki\n", "import pypandoc" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "bayes=wiki.page(\"Bayesian Inference\")\n", "Markdown(pypandoc.convert_text(bayes.summary,'md','mediawiki'))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "YouTubeVideo('0F0QoMCSKJ4')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bayesian Inference" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## Bayesian vs Frequentist" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Frequentist Interpretation:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "freq=wiki.page(\"Frequentist probability\")\n", "Markdown(freq.summary)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Bayesian Interpretation:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "hidden": true }, "outputs": [], "source": [ "bayes=wiki.page(\"Bayesian probability\")\n", "Markdown(bayes.summary)" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## Bayes theorem redux" ] }, { "cell_type": "markdown", "metadata": { "code_folding": [ 0 ], "collapsed": true, "hidden": true, "init_cell": true }, "source": [ "The Bayesian inference is built upon the Bayes-theorem:\n", "$$P(H|D)=\\frac{P(H)\\times P(D|H)}{P(D)}$$\n", "where, M and D stands for the hypothesis being tested and D is the data.\n", "\n", "The Bayes theorem should be interpreted as follows:\n", "1. P(H|D) is called the **posterior** the probability of the hypothesis given the observed data.\n", "2. P(H) is called the **prior**. It quantifies your **a priori** degree of belief in the Hypothesis. In other words, it quantify your confidence/prejudice on the hypothesis **before** looking on the **new** data\n", "3. P(D|H) is called the **likelihood**. It is the probability of obtaining the data from a random sampling the hypothesis.\n", "4. P(D) is called the **evidence** or **marginal likelihood**. The second name is due to the fact that since the posterior has to be normalized to unity this term is a normalization factor coming from the integration of the dividend over the hypothesis (this operation is called **marginalization**). *In summa*, It quantifies the overall performance of your hypothesis explaining the occurrence of the data;\n", " 1. Unimportant for parameter estimation.\n", " 2. Extremely important for model judgment.\n", " \n", "An important note! The **posterior** is many times confused with the **likelihood**. That's due to the fact that in the case of a *flat* prior they are numerically equal. But remember that one is function of the data and the other is a function of the hypothesis!" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## Likelihood construction" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "In many analysis cosmologists begin their analysis upon the hypothesis that the likelihood is a Gaussian distribution on the Data. In other words, the observed data is a random sample that obeys a multi-variated distribution. Many reasons justify why it is a good hypothesis (but not always!). Usually those reasons are related with the *central limit theorem*.\n", "\n", "- Many distributions has the normal distribution as a limit\n", " - Binomial\n", " - Poisson\n", " - (...)\n", "- If a process is resulted by the convolution of many other sub-processes the distribution of the process tend to be Gaussian. (Challenge: test that! Start with a very skewed distribution and iteratively convolve it with itself. After how many iterations you are not able to distinguish it anymore from a gaussian?)" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "### Gaussian likelihood" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ " A Gaussian distribution is defined by two quantities:\n", " - The mean:\n", " - For this case it coincides with the most probable value.\n", " - The variance:\n", " - The spread of the distribution around the mean." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SNe Likelihood (Union 2.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Union2.1 catalog has a simplistic likelihood where each SN is assumed to be independent.\n", "\n", "1. Let's import Union 2.1 data (http://supernova.lbl.gov/union/figures/SCPUnion2.1_mu_vs_z.txt)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%%bash \n", "wget supernova.lbl.gov/union/figures/SCPUnion2.1_mu_vs_z.txt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "union21=np.loadtxt('SCPUnion2.1_mu_vs_z.txt',dtype={'names': ('name', 'z', 'mu','mu_error','XXX'),\n", "... 'formats': ('S6', 'f', 'f','f','f')})" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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h+m2jiH5Vdiq/Pedbomz1aFhMiucenm5ksLYXOI1C+8Adh32tq+qs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\nqrc2cVXpCH65Zgtx7lhEZsh4fO601AcmIiIiaUM9YUlwx8XFvLN9T9w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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(union21['z'],union21['mu'],ls='None',marker='x')\n", "plt.xlabel(r'$z$')\n", "plt.ylabel(r'$\\mu$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Challenge: \n", " 1. Write the union21 likelihood function!\n", " 2. Add this to your Cosmology Class!" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data=union21['mu'][(union21['z']>0.5) & (union21['z']<0.6)]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "mean=data.mean()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data_zero_mean=data-mean" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 0., 1., 1., 2., 5., 9., 8., 4., 3., 1., 2., 3., 1.,\n", " 0., 0.]),\n", " array([-1. , -0.86666667, -0.73333333, -0.6 , -0.46666667,\n", " -0.33333333, -0.2 , -0.06666667, 0.06666667, 0.2 ,\n", " 0.33333333, 0.46666667, 0.6 , 0.73333333, 0.86666667, 1. ]),\n", " )" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(data_zero_mean,bins=15,range=(-1,1))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from cosmolopy.distance import luminosity_distance as dl" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def distance_luminosity (z,om,ol,h):\n", " \n", " y0=0\n", " ok=1.-om-ol\n", " ztab=np.arange(0,2,.01)\n", " dh=c_speed/100./1.e3/h\n", " dc=dh*si.odeint(lambda y,zz:1./np.sqrt(om*(1+zz)**3+ok*(1+zz)**2+ol),y0,ztab)\n", " if ok==0:\n", " dm=dc\n", " elif ok>0:\n", " dm=dh/np.sqrt(ok)*np.sinh(np.sqrt(ok)*dc/dh)\n", " else:\n", " dm=dh/np.sqrt(np.abs(ok))*np.sin(np.sqrt(np.abs(ok))*dc/dh)\n", " sol=interp1d(ztab,dm.flatten())\n", " \n", " return (1+z)*sol(z)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def mu (z,om,ol,h):\n", "\n", " #cosmo = {'omega_M_0' : om, 'omega_lambda_0' : ol, 'h' : h,'omega_k_0':1-om-ol}\n", " #return (5*np.log10(dl(z,**cosmo))+25)/(5*np.log10(distance_luminosity(z,om,ol,h))+25)\n", " return 5*np.log10(distance_luminosity(z,om,ol,h))+25\n", " " ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def lhood_sne (om,ol,h):\n", " \n", " mu_teo=mu(union21['z'],om,ol,h)\n", " n_sn=len(union21['z'])\n", " chiq=np.sum(((mu_teo-union21['mu'])/union21['mu_error'])**2)-n_sn\n", " return np.exp(-1./2*chiq)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TeOPrA9wbGcL6pGyPBQqA6/yFcekATIju6LpWYkZuvVnAIUR5ZDpSCFFn1JXt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(union21['z'],union21['mu'],ls='None',marker='x')\n", "plt.xlabel(r'$z$')\n", "plt.ylabel(r'$\\mu$')\n", "plt.plot(union21['z'],mu(union21['z'],.3,.69,.7),ls='None',marker='x')" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "p = lmfit.Parameters()\n", "p.add_many(('omega_m_0', .3), ('omega_l_0', .7), ('h',.7))\n", "p['omega_m_0'].set(min=0.,max=1.)\n", "p['omega_l_0'].set(min=0.,max=1.)\n", "p['h'].set(min=0.5,max=0.9)\n", "\n", "def residual(p):\n", " v = p.valuesdict()\n", " return -2*np.log(lhood_sne(v['omega_m_0'],v['omega_l_0'],v['h']))\n", "\n", "def lnprob(p):\n", " v = p.valuesdict()\n", " try:\n", " return -1./2*residual(p)\n", " except:\n", " return 0" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1000 loops, best of 3: 576 µs per loop\n" ] } ], "source": [ "%%timeit\n", "lhood_sne(.3,.7,.7)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Variables]]\n", " omega_m_0: 0.35667691 (init= 0.3)\n", " omega_l_0: 0.69305845 (init= 0.7)\n", " h: 0.70000000 (init= 0.7)\n", "[[Correlations]] (unreported correlations are < 0.500)\n" ] } ], "source": [ "mi = lmfit.minimize(residual, p, method='Nelder')\n", "lmfit.printfuncs.report_fit(mi.params, min_correl=0.5)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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0+p38o2iNyiSTiIQzMrGYyI3nNFVE6egxJl7qlUAiDSbTa8ij08vJ7h4d+kG6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\nWJUHYNbPofNg6PPR0GlEGpVJ0RBejbp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G7OIHwX/SJ/A+FwUX86PQG5TYEEsTnViQOIUl\niRNZYQs0Cd8n1Uq6jDGtgbuAHwBHAl8ALwATrLXbqlFPU+AO4GLgKGAL8Bpwh7X2gDt/1lbbUgd2\nF8Gmf7oV4jcuhc/fhai3mnJ+Z+g50s3RKuihSfEiInVoBw2YEe/DjHgfwsToFlhJ78D79A58wLjw\nUwDstnl8mGjPu/Y43k104N1EB7bRyOfIc4OxNrkNNo0x7YHFQHPgRWAFcDrQB1gJ9LLWbkminiO9\nejoCbwL/BDoBA4HNwBnW2nV10Xa3bt3sO++8k8zLlQOJ7oGiVbB5OWz+BDavcL9/86k7HghBy5Oh\n9elQcDoc0xMat07b1ZNFRHJJK4roFljFaYHVdAms5gSzgbCJA7DJNmNlooBVtjWrEq1ZZQtYY1tR\nQvJflHN5RXpjzL+std0O9rjq9HQ9iEt6RltrHyjX0P3ATcBvgRFJ1PM7XMJ1v7V2bLl6RgOTvXZ+\nUEdtS1USCSgugu2fwrb1sH2DK7dtcL9v/xRswj02EIb8411y1f0aVx51KkTq+/kKRESkEp/TjJcS\nzXgpcSYA9Sjhe2YdXQKr6Rz4lI5mI2cFPiQScolY3Bo22Xw22nw22ubej/t9k81nCw3326JIqpZU\nT5fX07QGWA+0t7bskxeMMQ1xQ30GaG6t3V1FPQ1wvVkJ4Chr7c5yxwLAOqCN18a62mwbcrCnKx6F\nvTtgz7ZyP1tdWbwVdn0JO7+CXWU/m8HG963j8Hxo0gaOaANHHgfNO0PzE6DpsUlPfldPl4hIZggR\no435iuPNRo4PbKKd+YIC8zWtzWbyzY59HhuzAYpozGbbhM22Cf/V/XvQoAXUbwqHHQGHlZXeT71G\nWXvRVG33dPXxyrnlkx4Aa+1OY8wioB/QE3ijinp6Aod59ewsf8BamzDGzAGGe+2VDTHWVtt1K1YK\npbtcT1Ai7kob3/d2IuZ+T8TcsUTcJUaJqFfG9r0dK4F4iau7rIztdcN8sT2ujBa7srQYSndCyU53\ntWDJTvecypiAS6gaNIcGLaHlSa5s2BIat4Yj2kKTY7QKvIhIDokRYq09mrX2aGYn9j1Wn720Nl9T\nYDbTymyhudlOc7bT3GzjKLMVVr4Ku78GqujMCeZBXkPIa+DKSEM3QhI+DMJeGTrMK+u5ecDBvHJl\nnkvcAmGvDFW4HQQTdPd/+3vQ7W6SBnOKk026jvfKVZUcX41LfDpSdeKTTD149dR223Vr5Wz469V1\n304g9N0fZvk/0nB9aFwAkQb7/jHnNSz3raP8N44mWnxURESSVkw9VtkCVtmCAx5ff/MAN01l7/Z9\nR1iKvRGWkp37dg6Ueh0Ee7bBjs+/60SI7oHS3fuPvNTEdUvdlBifJZt0NfbKbyo5Xnb/wdYAOJR6\natS2MWY4rvcMYJcxZuVBYqyJZkBRHdbv2Vr3TUgyUnS+JQ3oXOcOnetDZO71O4IqTOhU2ZHaOt9t\nknlQ1q/TZa19BHgkFW0ZY95JZkxXsoPOd+7Quc4dOte5JdXnO9nxpbLepMaVHC+7f3sd1FNbbYuI\niIj4Jtmkq2xIrmMlxzt4ZWXzrmpST221LSIiIuKbZJOu+V7Zz1va4Vvesg29gGJgyUHqWQLsAXp5\nzytfTwA3Ib58e7XZdiqkZBhT0obOd+7Quc4dOte5JaXnO6mky1q7FpgLtAWuq3B4AnA48GT5dbKM\nMZ2MMfvMXLPW7gKe9B4/vkI9o7z655Rfkf5Q2vaLN39McoTOd+7Quc4dOte5JdXnuybbAC0HeuDW\n0VoFnFl+Kx5jjAWw1poK9VTcBmgp0JnvtgE600u0DrltERERkXSTdNIFYIwpYP9Np/+fA2w6XVnS\n5R1rCtzJvhtev0rVG14n3baIiIhIuqlW0iU1Y4x5DLjGu9nBWrvGz3ikdhhjOgCXAOfjLuxoAWzD\nzTOcZK2dX8XTJU0ZY1qz/xe9F9AXvazhjbwMAgYAJwNHA6XAR8A0YFrFnVAkuxhjhuKmPQFca619\nrE7bU9KVGsaYC4GXgF1AA5R0ZQ1jzF+Ay4FPgLdxq9ceD1wEBIEbrLVT/ItQqusAUxpWAKfjpjSs\nBHppSkPmM8aMAB7CJdTzgU9xX5ouwS1H9DxwmdUHZVbyRtA+wv2fboCSruxgjMnHndgFQEvgHJR0\nZQ1jzI+BD6y171W4/xzgddxGZG2ttV/4EJ4cAm8f2H7AaGvtA+Xuvx+4CXjYWjvCr/ikdhhjzsVd\njPVK+R4tY0xL3HzjAuBSa+3zPoUodcQYY3D/n9sBM4FfkIKkS5vvpUbZ1REVr76ULGCtLayYcHn3\nL8Ql2hHgzFTHJYfG6+XqB6wH/lTh8J3AbuBKY4x2g89w1to3rbUvVxxCtNZ+CUz1bvZOeWCSCqOB\nc4FhuPd0SijpqmNeL8jFwM80HJGTol4Z8zUKqY4+Xjn3AB/GO4FFQH2gZ6oDk5TSezdLGWM6A/cA\nk621f0tl20q66pAxpg0wGZhurX3R73gktbzz3xe3eG9K39hSI8d7ZWW7XKz2ysp2yZAMZ4wJAVd5\nN1/zMxapXd65fRI3f++2VLef9Rte+8VbPf/PuInzo30OR1LMGJMHPAXkAb/U1W4ZpWw/128qOV52\nf5MUxCL+uAc4CZhtrZ3jdzBSq+4ATgO+b63dk+rG1dNVBWPMemOMrcbP9HJPvwk3Yf5afeCmvxqe\n64p1BXHfpHoBzwL3pep1iEjNGGNGA2NxV6xe6XM4UouMMT1wvVv/Z639ux8xqKeramuBvdV4/OcA\nxpiOwG9xa7zMrovApNYd0rmuyEu4pgOXATOAobrcPOOU9WQ1ruR42f3bUxCLpJAxZhRuSsgnQF9r\n7VafQ5Ja4g0rPoGbNjDOrziUdFXBWtv3EJ96Am5YaZgxZlglj1ntrlhlkLX2hUNsR2pJDc71t4wx\nYdyQ4mXA08BV1tp4TeuVlFvplZXN2erglZXN+ZIMZIy5EZgILMMlXJt9DklqVwO+e0/v9T5/K3rU\nGPMoboL9jXURhJKuurEeeLySYwNwa3X9FdjhPVYynDEmguvZGoj7NjVMK1lnrLIdBPoZYwIV1m9q\niBs2LsbtOCBZwBjzK9w8rveB86y1RT6HJLWvhMo/l7vg5nm9jfvSVWdDj1ocNcWMMQvQ4qhZxZs0\nPxPoj3tTD1fCldm0OGruMMaMw2339C+gn4YUc48xZjxuDb46XxxVPV0iNTcVl3AVAZ8Bdxyg63qB\ntXZBiuOSQ/dz3DZAU4wxfYHlQA/cGl6rgNt9jE1qiTHmalzCFQfeAkYf4L273lpbmOLQJEsp6RKp\nuXZe2Qx3OXJlFtR9KFIbrLVrjTHd+G7D6/64/fkmow2vs0nZezcIVDaHZyFQmJJoJOtpeFFEREQk\nBbROl4iIiEgKKOkSERERSQElXSIiIiIpoKRLREREJAWUdImIiIikgJIuERERkRRQ0iUiIiKSAkq6\nRERERFJASZeIiIhICijpEhEREUmB/wB90Qekf+czrQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var=(union21['mu']-mu(union21['z'],mi.params['omega_m_0'].value,mi.params['omega_l_0'].value,mi.params['h'].value))/union21['mu_error']\n", "plt.hist(var,normed=True)\n", "x=np.arange(-4,4,.1)\n", "plt.plot(x,stats.norm.pdf(x))" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [], "source": [ "mini = lmfit.Minimizer(lnprob, mi.params)\n", "res = mini.emcee(params=mi.params, steps=3000,burn=300, workers=4)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pickle\n", "file_chain=file(\"chain.pkl\",\"wb\")\n", "pickle.dump(res,file_chain)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xpQVeBv5srd119KuWI1FVVcWuXbvIzMzE5/MRGRlJYWEh+/bto66ujg8//JCSkpJepy58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\nBlJQk7PzAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xpQVeBv5srd119KuWI1FVVcWuXbvIzMzE5/MRGRlJYWEh+/bto66ujg8//JCSkpJepy58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\nA6Y8Q2ch5yeoav0z1KffN876Jqpa/weeK1k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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "corner.corner(res.flatchain, labels=res.var_names, truths=list(res.params.valuesdict().values()))" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 8.50000000e+01, 4.30000000e+01, 5.30000000e+01,\n", " 5.60000000e+01, 6.10000000e+01, 4.60000000e+01,\n", " 4.00000000e+01, 6.90000000e+01, 4.60000000e+01,\n", " 1.12000000e+02, 8.10000000e+01, 1.37000000e+02,\n", " 1.51000000e+02, 2.26000000e+02, 4.36000000e+02,\n", " 5.17000000e+02, 6.53000000e+02, 7.75000000e+02,\n", " 7.07000000e+02, 8.72000000e+02, 1.64000000e+03,\n", " 4.14220000e+04, 7.02000000e+02, 6.76000000e+02,\n", " 1.77000000e+03, 1.12000000e+03, 2.72000000e+02,\n", " 2.03000000e+02, 1.34000000e+02, 1.89000000e+02,\n", " 1.92000000e+02, 1.85000000e+02, 2.24000000e+02,\n", " 2.51000000e+02, 2.07000000e+02, 1.93000000e+02,\n", " 2.37000000e+02, 2.48000000e+02, 2.20000000e+02,\n", " 2.32000000e+02, 2.31000000e+02, 2.36000000e+02,\n", " 2.15000000e+02, 1.68000000e+02, 1.73000000e+02,\n", " 2.12000000e+02, 1.88000000e+02, 2.14000000e+02,\n", " 1.88000000e+02, 2.19000000e+02]),\n", " array([ 0.15 , 0.156, 0.162, 0.168, 0.174, 0.18 , 0.186, 0.192,\n", " 0.198, 0.204, 0.21 , 0.216, 0.222, 0.228, 0.234, 0.24 ,\n", " 0.246, 0.252, 0.258, 0.264, 0.27 , 0.276, 0.282, 0.288,\n", " 0.294, 0.3 , 0.306, 0.312, 0.318, 0.324, 0.33 , 0.336,\n", " 0.342, 0.348, 0.354, 0.36 , 0.366, 0.372, 0.378, 0.384,\n", " 0.39 , 0.396, 0.402, 0.408, 0.414, 0.42 , 0.426, 0.432,\n", " 0.438, 0.444, 0.45 ]),\n", " )" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(res.flatchain.values[:,0],range=(.15,.45),bins=50)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 83., 67., 103., 103., 97., 152., 119.,\n", " 116., 114., 80., 130., 128., 150., 124.,\n", " 179., 223., 230., 573., 3215., 1240., 870.,\n", " 748., 657., 632., 517., 459., 559., 639.,\n", " 867., 1795., 40284., 190., 182., 88., 83.,\n", " 124., 171., 149., 141., 155., 165., 175.,\n", " 150., 121., 120., 122., 145., 162., 123.,\n", " 123.]),\n", " array([ 0.45 , 0.459, 0.468, 0.477, 0.486, 0.495, 0.504, 0.513,\n", " 0.522, 0.531, 0.54 , 0.549, 0.558, 0.567, 0.576, 0.585,\n", " 0.594, 0.603, 0.612, 0.621, 0.63 , 0.639, 0.648, 0.657,\n", " 0.666, 0.675, 0.684, 0.693, 0.702, 0.711, 0.72 , 0.729,\n", " 0.738, 0.747, 0.756, 0.765, 0.774, 0.783, 0.792, 0.801,\n", " 0.81 , 0.819, 0.828, 0.837, 0.846, 0.855, 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(res.flatchain.values[:,1],range=(.45,.9),bins=50)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 5.80000000e+01, 4.20000000e+01, 6.00000000e+01,\n", " 4.20000000e+01, 2.50000000e+01, 3.10000000e+01,\n", " 6.90000000e+01, 6.20000000e+01, 1.01000000e+02,\n", " 7.00000000e+01, 1.08000000e+02, 1.33000000e+02,\n", " 8.70000000e+01, 9.70000000e+01, 8.40000000e+01,\n", " 6.80000000e+01, 6.70000000e+01, 5.30000000e+01,\n", " 5.50000000e+01, 3.80000000e+01, 3.60000000e+01,\n", " 2.70000000e+01, 1.80000000e+01, 2.10000000e+01,\n", " 3.90000000e+01, 1.88500000e+03, 4.35300000e+03,\n", " 4.44300000e+04, 1.07000000e+02, 7.40000000e+01,\n", " 9.30000000e+01, 7.50000000e+01, 7.20000000e+01,\n", " 5.40000000e+01, 5.80000000e+01, 8.70000000e+01,\n", " 9.20000000e+01, 1.24000000e+02, 9.30000000e+01,\n", " 1.69000000e+02, 1.70000000e+02, 1.66000000e+02,\n", " 1.37000000e+02, 1.79000000e+02, 1.98000000e+02,\n", " 1.93000000e+02, 2.13000000e+02, 1.63000000e+02,\n", " 2.09000000e+02, 1.87000000e+02]),\n", " array([ 0.58 , 0.5844, 0.5888, 0.5932, 0.5976, 0.602 , 0.6064,\n", " 0.6108, 0.6152, 0.6196, 0.624 , 0.6284, 0.6328, 0.6372,\n", " 0.6416, 0.646 , 0.6504, 0.6548, 0.6592, 0.6636, 0.668 ,\n", " 0.6724, 0.6768, 0.6812, 0.6856, 0.69 , 0.6944, 0.6988,\n", " 0.7032, 0.7076, 0.712 , 0.7164, 0.7208, 0.7252, 0.7296,\n", " 0.734 , 0.7384, 0.7428, 0.7472, 0.7516, 0.756 , 0.7604,\n", " 0.7648, 0.7692, 0.7736, 0.778 , 0.7824, 0.7868, 0.7912,\n", " 0.7956, 0.8 ]),\n", " )" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jg+qfJEnSeGZrgOt8lNa/Am+hGSPuHmCej9KSJEnDalYGOICI2Ab4JLA3sAXw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\n/H/ABPGlaBpqXQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(res.flatchain.values[:,2],range=(.58,.8),bins=50)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from math import pi\n", "from scipy import fft" ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "collapsed": false }, "outputs": [], "source": [ "'''file_chain=file(\"long_chain.pkl\",\"wb\")\n", "pickle.dump(res,file_chain)\n", "file_chain.close()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data=[res.flatchain.values[:,i] for i in range(3)]\n", "data_mean=[np.mean(data[i]) for i in range(3)]\n", "s2=[np.var(data[i]) for i in range(3)]\n", "\n", "aux2=[(data[i]-data_mean[i])/np.sqrt(s2[i]) for i in range(3)]\n", "distsize=[len(data[i]) for i in range(3)]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.182226 0.19003372 0.1774754 ]\n" ] } ], "source": [ "gelman_rubin=np.zeros(3)\n", "walkers=len(res.chain)\n", "for i in range(3):\n", " s2_chain_i=np.var([np.mean(res.chain[j][:,i]) for j in range(5)])\n", " gelman_rubin[i]=s2_chain_i/s2[i]\n", "print gelman_rubin" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "y=np.array([np.abs(fft(aux2[i]))**2 for i in range(3)])\n", "x=np.array([2*pi*np.arange(distsize[i])/distsize[i] for i in range(3)])" ] }, { "cell_type": "code", "execution_count": 131, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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F5RVB5L0/rOfGL1cD8NE/e6ucc+/n59D7uTl8ujiVPs/P4YqPlwOw7kAuRfYA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nVmTEtspp8Gms4+qnNxzAPGUARbECiUwM/p0LHgqtPa+fU/5qtDozz9/ZI+alqRuX9v8UY99sFy\nfbJ8a4CrHf760UpdOay1x7GrXnUUALp8SEtdOay18rPS1W7CVP3+xPa6ZnibsMcLAEgcBIwI2lm9\nS9S5ab5Wb9uvEzsXM/00gIGt6+nNr37SLW9+o6nfbiRQjJCC7HQtXu8oxFRaL0eD29TXv67oH5M9\nPt1lpoU2JdWXOm5ZtjwfU5NTU4xHcRlnLZVg/w/MSE1xbaPh7M+bexCZlZ6qP5/dTXe+vVgfubW5\nsH9z3T/Nsb7OOb3Vl3Sbaa/OYMqZWezStEDL7xutXvfM0J6DRzWyY7HfQPTSQS3VKD/6FVbDdeXL\n8zVjyebADcP07qLqVT5dummPrn5lgW45qYOy0lN07T+/liR9vdZ3NtndpKlLddmQVrbPz3OfrHJt\nJyJJf5m5LKSAcfyb36jcsnT/2d2DvgYAEBsUvUFIOjTK10ldWKsYjEFt6ktyFLYZ3qGh3v/tUD1x\nQS+CxWoqzE53VQNtUZQrY4z6t6oX82fSGRBVP8MYeoEo5xrEYN9zWmqKx1pJuw/8dryzfUPbVq6R\nPFruP9vlHfgZGVdQmuO2VUp6aop6NHPsG/nwed39VmtNSzUBM5vx5F0VNtKc2d3qWPTTLl34t8/1\n8Azf02wvffFLTfi/b23PbdkT3HYl3gViZy7ZrMNHyzVg0gf63b8XSnKs5XbuT/qvL9fp3/N9T30F\nAMQPASMQJY0KsvTCJX00nUAxopxFUdJSTJUqqrGUEaEMo3PPxPPKmgV9zYPndNclA0tdgVYw6rgF\nps6A8b9XD9TQikI5djtAeAeMXZoW6N7Tu/hs//mtI6rcw91zF5XpphPaqbFX4Z+nLuyl16/or/ys\ndL9BcGpKYgeMycTfPrEfLt2iVz5bq8tfmq/DXlu1DJj0oY57YJZWbNmrP7zxjc8+jpZbrq1k5q7c\npstemq8L//aZNu46qLe+clTd7nnPDJ3yxJwIvJtKr3y2RqXjp4S0hzAAwD8CRiCKhndoqLYEihHl\nDBhL6mZX2aA+liK1hlGSVtw3WpPO7Bp0+5K6Obrr1M4BM4Xn960MQutkVk53dWb6ejavqxM722+L\nIXkGjBMqijP5u6f7Obt2pfVzdd2ItlWCwrysdPVr5ags7DfDmGKCXreJ6puxZLPaTZha5fjqn/fr\npL98rNfnr/N7/Uvz1khyFPuSpC9X73Cd+37jbknSii17Pa65/rWvdc+7wRUOcjp45JiOf3C25izf\npn9WFAiKRDYWAOBAwAggqRRUVENtUS++VRlDrZLqT1pqilKCnCYaiklndnNVvMz1yDBW/tXvHL9d\nzc6sin0e+5TW1WVDWjmurYjYLJsUY7pbv96ZQMv2DlX5yyCmGBOVnxNCdzSIvR0Xrdupxz5Yrklu\n1VqdRj/6ie01/1u0QX+fs8r2nC9rt+/Xj9v2aeI734V0HQAgOBS9AZBUnBnGFvVy4jqODGeGMY5Z\nzlC4b9/hXuDGGfjaBYDZFRlG9+0v/GX4Ut0K3dhVYg2GvwxmWopxBayR9JthrfXMRysj3m9tN+27\nTZr23aaA7f5ajZ996fgpHq+dj4fdlGmntT/v13cbdml018Zh3xcAapPk+KQDABUqA8YEyTCmJ8df\no76K3vhbg+nMIhXnV25Z4rzW7vO4e5AYbiYwUEAabLd3ntIp6HuStIyvSVOrZiCd+4DOWb7NtRbS\n2679RzxeGxPcVjMnPfqxrnr1K23cxbRVAAhGcnzSAYAKhc6AsSi+Gcb0JMsw+tpWw5VhtLlmy55D\nkqRit60sgl7DGGYm0N+U1FRjgq4Me8nA0qDaZaWnuNZPInGc/uSnOvOpT/XLv3+uxz5Ybtum+93T\nw+p7f0Vl1gGTPgx7fABQmyTHJx0AqNCvVZEuGViqAa3j+yE/6TKMmaFnGIe2dWwNc1KXRq5jfquY\nmsqiNN6BpQly10i7gLFn80JXn8FmA+3G2ap+1az093efpEFxfpZg76uK/SE/Wb5NL3y6SqXjp2j/\nYftsoyQt27xXi9c7iukEu2bWF8uyNG3xRh095n/7GACoDZLjkw4AVMjLStddp3ZWbmZ8l2BXZhir\nX/QmFtwDW481jKnONYxVrykrLdLqyWPVuUmB65grc2jTPiWlMiwMd0qq92WFOelqX1FpuLrbanx4\n83Gqm1NZLfbkbo1ljIlrtV0EtmTjblfl1Oc+Dq4gjr81jO4Wr9+lnfurbsExbfEm/eaVr/T0bPv1\nldO/26RdBxxTYr/5aafmr94e3A0BIAnxryQAhCHZMozuU2fds3/BTvGsvNbx1f3zeHu3rWOc/YVb\n9MZ7POVu1TiNqmYgz+5doqk3DNEJnapuD/LtXaP83qs82KgCced8DB6ZuUyTpy7VKY/737/xn5+v\n1f8WbZDkyBY6M4Xe6yFPfnyOetw9o8r1V736lSTpoRnLqmQZN+46oCteXqBr/+loc+oTn+rsZ+aF\n/qYAIElQJRUAwpBRURE0WdYwumfR0lLCH7Ndhu/1K/tr3fYDAdsF17/na/eQLiXFyH3oH940TE3r\nZiszLdV2qmpeVnqVY+79HT1W+apHs0JXoZWHzumuk7s31sfLtunyl+aH8S4QTcFUtH19/jq9Pn+d\nXvx0lWtq67w/Hq+73wm8x+OOfZ4Zx7/PWaUrh7V2vT54xBFArt2+P5RhA0DSSo5POgCQYJItw+jO\nM8Po+Bpsrs0uECzMyVDXEse0VedZ7zg63H0YLatyeqExnlNSWzWo49pHMtg1ku7ctxJ86dd91aFR\nXsV9HPtTtmlYJ+Q+kVicwaIkrdyyT1MX22/zsWnXQdf3xz802+PczgNHdOPrC9X5jmmSFMaTBgDJ\nLfk+6QBAAki2Kqnu3APGksJsSdIp3YLbk861rYaP6ZzOeM49IxMK74DRfdpoivGduQwnoZmdUbn+\nND8rXR0b53ucD3daLRLTF6t+9nnurKfnav7q7frXF2u1w2u7jve+3aj/fr1e+yqqqzqFMqN50tTv\ndf6zn4U0XgBIFExJBYAwOAPFzPTkKHrjzj1gbJifpSV3n6jsIN9Hip99GCVnps9yBaKexwMzXvG3\ne8BoZMIKDH2pk2n/np239FW4p1lRtkoKczTvR98BCBLPYx+u8Hlu/c4DPtchrvnZc+qp8xlcu32/\nSsdPCeref/3ox+AGCQAJKPl+NQ4ACSDdOSU1CTOM3pmznIy0oIvfBEy6VZwPv0qqd4bRreswMoyF\nOVXXMUpSg7xMXXt8W88+vNr42kuyU+P8iAauThcPaBH5ThFRwx+crWEPzLY9N/jPH3oU1TlWbume\nd5d4THd1Z1mWvgxQXXXFlj0qHT9F3/60K+wxA0B1Jd8nHQBIAJmpNWMNY8jXBoiUTJDtfPEemiNf\nabm+d57PzQguI7rwDs9Kqc7s4WuX91dTryyoN18/p4y01JCmI/rry11+tn1wi8Sxats+n+d+2nFA\ni9c7ArsvV2/XjCWb9Pc5q/T7NxbZtn/lszU655l5ev+7ynWVu/Yf8QgOZyzZIkl695sNkRg+AIQl\n+T7pAEACcGYYk3ENY1pq+AGja0pqgIApEhnG645vo7euHuh6bYyj2uutYzro7WsHeVwXatGbYOJZ\nX0FecV6mjkVhSw7LqgyEF088MeL9I/rOe/YzffvTLp3zzDz95hXHthvu1XhLx0/Rqm37dOPrC3X7\n299JcgSaknTwyDF1v3u6TnlijitTGW4me83P+3TAa80lAIQr+T7pAEACqJuTIUkqys2I80hCV51i\nLoEyZc4PuOFmMd0/IN80qr06Nymo0uaKoa3VpmGe50G365oUZPns37mnnr9A3/nx3u4t3HdGF918\nYvsqe/NFgiVLlw5uKUnKTOOf52R1yhOee0R6r3V9cPoP+u/X612vn5q1Qne/s0Sd73zfdeyWN7+R\nJE2eulSS9NePQ1sDOeyB2bri5eC3hDlw+JiOlbMvKQB7/IsEAGFo07COpt84VH1bFsV7KCFLrdY+\njP7POzN93s3GBlmF1W6NYijJvEd/0UNz/nC8z/OHKwI926nEQcS4F/Zroaz0VB05FtqHa19VZT3b\nOILk1ZPHuqrwouaZ8s1Gj9c/7zus5z9d5RGwfb1mh1Zs2VPl2tLxU3SlVyBYXm7p4JHKbKLzWftk\n+bagx9Txjmn63b8XBt0eQO3Cv0gAEKZ2xXlBF4tJJOGuL5QqAzpf+yp2aZrv0U6Slt07Wqd0bxJS\n/3b8TTt1njHG+J0O6wz0soKoCuu/n8hnGEnwwGnDroMa+fDHHsdOfvwTSdL7322WJP3tkx/1369/\nUqtb31OH26e5st7hzpZ+eyHrJAHYI2AEgFomtRprGFMDrGH820V99PoV/T32OEwP4X52MVoon3+D\nyeRJUlZa4IAxPytd953Rxfac95TRQO8xmF8seAfhn9wyPOA1qD0Wr9/t8freKd/rxtcrC+qEmvW2\ns3m3fUVXALUbASMA1DLVWcPoLwMoSQU56erXqp7HsVCysOFmbC8f0kpZ6Ska2Lp+UO2DDWIv7NdC\n/VtVnXb85IW9PF7ffnInv/0EFch6NWlWlBP4GtRKuw4cqXLMkqU9B4+o1a3veRxft32//j5nVZX2\nP+89pJ92eO4xearX+ksAkAgYAaDWqc62GoECRnetG+SGfZ9QdW9WqKX3jFaDvEy/7UZ1KpYUWmD6\nrysGVDlWUtczmMvPqv6WGPGYkVqNRwFx1H3i9CrHLEva6LXnY9m9MzTk/lm6590lun/aUo+p1L3v\nnanBf57l0X7z7kP679c/qdtd72vFlr1+x/Dz3kN6eMYylTOXGqjx0uI9AABAbEWiSmowHxHfumqQ\ntu49FPa9nFzJuQgEN09e2EsHjkR2u4Fv7hql7XsPV7sfuyzkJ7cM15D7Z9m0joyi3Exti8CfEeLv\niVkrNH/1do9j29yey6dmr9Seg0d1z+n206ydnNNcX563WhNP8932D29+q5nfb1b/lkUa2Ca4zD6A\n5JTUGUZjTGNjzD+MMVuNMQeNMUuMMcPiPS4ASGTVyTCGUryzICddbRrWCfte3iKRDEtPTYlINtBd\nbkaaSutXP5tqN2vVfVrqeWXNqn0Pm7tGoU/Ew9OzV+rL1Tv8tnn5szX6ee8h/ez2S4LS8VNs2+45\ndFRfVgSgSzft9qjEKsn1eueBI1q6qXJ9ZXm5pdOe/FTvf7cprPcBIPEkbcBojCmU9KkcnyHGSuoo\n6TpJW+I5LgBIdNUJGF1TOYkzXLx/nrNvPk5vXT0w5H4C/Uib14v8msZwK2oiefW+d6Z63zszYLu3\nvlqvc56ZpzU/79NJf/lEHW6fpuWbK7f6cP5VcPWrX+mkv3ziOn74WLkWrdup61/7OuJj97Zh54Go\n3wNAEgeMkm6RtNGyrIssy/rCsqxVlmV9YFnW9/EeGAAksmplGGOwjcifz+qq6TcOjfp9fLGbGtrC\nJlibceNQPXlBryrHS+vnKqMiFVsvN0OSo3hO4Pv6P2+3fvSSgaUB+/WnnIgRAWzYWbku8qHpyyQ5\n/h/x3ufxf4s2aO6Kbdpz8KijjaSjx8q1dU90pjz/b9EGDZz8oeauDH6/SQDhiVrAaIw52xjzuDHm\nE2PMbmOMZYx5JcA1JcaY540xG4wxh4wxq40xfzHG1LVpfrqkz40xrxtjthhjFhpjrjXJuCkaAMRQ\nWkr4f/VXrmGMXqBxXp/malec53odzXu587fP49vXDNKU6wd7HGtbnKex3RrbtncGd3VzM7R68lhd\nN6KN69xFA+yDx0DBm/e/bi//uq9uHdPR49gZPZv67cNboJ/sv67oH1J/qHncs3jTvtuk0vFTdM+7\nVX83f/1rX+uCv32u0Y9W7B9pSfe8u0R97pup0vFT9MaCnzzaL1izXY/OXB72uL5a45h+u3TjngAt\nAVRXNDOMEyRdK6mHpPWBGhtjWktaIGmcpC8kPSLpR0k3SJpnjKnndUkrSVdXtDlR0qOSJku6JkLj\nB4Aa5e8Xl2lYuwbVqowZl1/JWc57x+/3gYU5GercpCDo9s6Y3JmtbJiX5To38R7aAtUAACAASURB\nVNTOeuaXjsxk95ICZaUH90+x97sf0raBMrz2g/z14JYer9sV+19DGijB2LFRflBjQ811038WVTn2\n/KdVt+lwchbaOXysXFO+3eg6fvN/Fun4B2e7/p846+l5emTmMs3+wbGS6Ku1O/T5jz979LViy16d\n9JePtXHXAR04fEzb94VXXOoPb3yjj5dtDetaANENGG+U1E5SvqSrgmj/lKSGkq63LOt0y7LGW5Z1\nvByBY3tJ93m1T5H0lWVZf7Qs62vLsl6Q9JgIGAHA1oiOxfrHpX2rFXi5MozMZPTLmWG0+zEZY1w/\nv0YFWfrDSR0cbUPMMAZy/Yi2mn6jfR24C/s1l+SZ1SzIrloMKDczNbSbAm62eVUP/nHbPl3rtbbx\ntv8u1rFyS2c+NVfnPfuZpnzjCDIPHD6me6cs0dJNezRg0oc67ck56nXPjLDG8fr8dbro+S/CexMA\nohcwWpY1y7Ks5VYQuxVXZBdHSVot6Umv03dK2ifpV8YY9zJ0GyUt8Wr7vaTmYQ8aAOBXLNYwRlrD\nvMwqmbdoSwlQHKhypxDjN7h0d07vZurXsijoMfzuhHaSPPfDbFlRzTUrPdVjIFcf19o2IE1LTdHq\nyWODvicQyJRvNmrtz/tdr9fvPKBJ71VOcb3mn1+pdPwUdbxjmmb/UJkVXLbZ/76Q3u6ftlRnPvVp\n9QcMIGGK3gyv+Drdsqxy9xOWZe2RoxpqjiT3xRSfypF5dNdO0ppoDRIAaruUOO70Hu6dv7htpG4/\nuVPQ7cNNnp7ft5kePre7pMDZQMs1zVY6uVtjtS/OCxjUFuak67XL/a8ptPsVbVFF4R1JmjC2o5be\nc5LSK4rykChGPAx9wHNv0b/N8T3F1dvASR9o3fb9enHuakm+n+GnZq/UV2t3ar3bGkzvfSoBBCct\n3gOo4Az8lvk4v1yODGQ7SR9UHHtE0lxjzG2SXpfUU9L1km6168AYc4WkKySpeXOSkAAQjmCzYZEU\nq3tVN3k66cxuVY75GruzkI8xUr06mXo/iKqwjqnEgX8a/7t2kM+1XinGKCs91fVeg5gEBCSUDbsO\nasj9s3ye/93rC5XvNr3afV3k2c/M09J7TqrMsAMISqJkGJ2VBHb5OO88Xug8YFnWl3JUSj1X0mI5\n1jjeLsdayCosy3rWsqwyy7LKGjRoEJFBA0Bt45ySGo9AI9qzYSP5lgIN1ZVhDCNvevGAFnrzqgH2\n9zVSt5JCHde+YZV72Y2vPMJ/jEk4YxlJ7p53l6h0/BTtPnhEby9cr7e+Xu/KPkrSD5s9q6gePHLM\ntp/DR8t1+/8t1ncbHB85dx04ojU/79O732yI2tiBZJEoGcawWJY1RdKUeI8DAGqLauzIkTQiGfP4\nCqxdR0O8mTFGE0/r4vO83V6NdiMY0raBnpq9Uv1aFWn2D1sjFuilpRgdOUbWErG3Ztt+3fCvhVWO\nz1+9w+N1j7tn6NFf9NCnK7ZpVKdG6tuqSNnpqWo3Yaok6eXP1mj15LHqPnG665qh7Rrotc/X6qze\nJapfJ1ML1+1Uh0Z5ykpP1ebdB7X/8DE1KczS8s17tX3fYQ1tR2ICNUuiBIzODKKvmuXO4ztjMBYA\ngA+pcVjDGOtsZiTuFqgSrfM9RfqnaXdbu/0dB7SupxX3jdbTs1e6CotUZ39OIN7Gv/WN7fEFa3ZU\nOeYMLP89/6cq5yRp8XrPCW/d7nIEj5OmLnUd69AoT0s3VWYvjanM5vsqFNXutqm67vg2um5EWx/v\nAkhMifKvww8VX9v5OO/8P8vXGkcAQAzEYw2jU7SnO0aj/0A/p0jsLXnJwFLX93YZRs8bVn6blur5\nEeC1y/vp2uFtAt5vwtiOPs+xJBLx8t2G3RHr6+TH5wRs4x4sSlWf/bkrt+n97zZ5HDt8rFwPzQjt\no6xlWVq3fX/ghkAUJUrA6Fy9PMoY4zEmY0yepEGS9kv6LNYDAwBUcgWMNTAwaNPQscl944KsavcV\nbBgYiRj1rlM7u8ZuFy8G82dlZNS2OE83n+hdfDx4L47rE/a1QE3yu38v1AXPfa4rX14gSVq2eY/G\nPPqJ6/zGXQdUXm5p5pLNPmdQPDpzucrunaFXPlujIffP0qJ1TLJD/CREwGhZ1kpJ0yWVSrrG6/RE\nSbmSXrYsa1+MhwYAcBOPKamxcsWQVvr3lQM0pG3k1h+5fxZ8/Yr++st5PaocD+T3J7ZXgVvVR/v7\nODq0++OJRWw/pG19Hde+Idt0AJLe+mq96/v/LdqgUY98rCUbKzOgyzbv1ROzVuiyl+br8Q9XaO+h\no1X6eGTmMm3be1jTl2yWJK3axkdgxE/U1jAaY06Xo4qpJDWq+DrAGPNixffbLMu62e2SqyXNlfSY\nMWaEpO8l9ZNjj8Zlkm6L1lgBAMFxBiTn920Ws3vGKghJSTHq27IoIn3ZZfr6tarn+t59W41Arhne\nRtcEmCpq+aui4xadhhLuP/qLHiG0dt6KkBFwd/1rX1c5dvHzX7i+f3jGMj08Y5mmXD9Yj8xYrlGd\ni3WcW9GcT5ZvkyT99vWF2n3wiC4aUBr1MQPeoln0poeki72Otar4T5LWSHIFjJZlrTTGlEm6W9JJ\nksZI2ijpUUkTLcuqumoZABBTxhgtuftEZabFbh+z6mxBEW+Wj3C3ZX3HFNKy0sgEqLef0km3vvWt\nSupmVznXqUmBFv1kv2uVv/DutB5NbY/7W3dJuAiEZ+xjjnWTM7/f7LPNHW9/p3PLmikjNUXHLEuf\nrtimS174UovuGKWCHP+zEIDqiFrAaFnWXZLuCvGadZLGRWM8AIDIyMlIlALbicu51tNXkNujWaE+\nuWW4bYAXjuHtG2reH0fYnrv6uNZ67Yu1tucKKz5kFgb4sHnpoJZ6/tNVkiJf2RVA8DrcPs31fd+K\nXzgt3bTbYwYDEGn8qw8AQISV1M3Wrwe31Pl9m/ts06woJyZjyUz3Xa7gwn4tlJ6aonN6l/jt445T\nOqncslwbon/0++O0YedBzV62RX/96EdXO2akArHzxertkqRDR8u1YecBZaalqF6dzKCuPXqsXJak\n9NSEKGeCBMdTAgBICtHeViOSjDG6/eROruql8dQwr7Lqq/d00tQUo/P7Nq+yxYY/xkgt6uVqQOt6\nGti6flhjeufawWFdB6Cqxz5YroGTP1Tve2dqzc+O4ji79h/Rjn2HZVmW/vrRSm3addDjmr5/+sC1\nvyQQCAEjACChkbSqviFtwwvs3KVVVDxKi0Cl3HaN4h9IAzXF/DWVZT6GPTBbr32xVt3vnq6e98zQ\nj9v2adLUpeo/6QOVjp+itT879nTcvu+wDhw5pj9PW+q6dt32/dqx77AkadeBIxr85w91kVuBHtRe\nTEkFAAAuc8cfrz0Hq5b5v2FkW1mSzu1T/Qq56SlVf189pG19V0VIAOH741vfur4f8dBHHufe/XaD\nrhza2vX66dkr1bQwW+t27NdfP/pReVlpmvfHEeo+0ZF9/GnHAV3/2td67PyesRk8EhIZRgBAQvvt\nyLbq2rRAx7VvGO+h1ApNCrPVvlFeleN5Wem6/eRO1a6Q++ZVA5SSYlSUm+Fx/OVf9wu5r2ZF4RUN\nikSWFEhG90/7Qa1vfc/j2IT/W+xai7zn4FF1ufN9j/P/W7RBHy7drNLxU7Ro3U5J0lOzV2jW0i2x\nGTTijoARAJDQWjeoo3euGxxw83okh24lhZKkr24/QaO7NArQ2r9wi+z4K0YEoKpLX5wvSa5qyfdP\n+0HjXvxSR46Va9+ho/px6954Dg9RRsAIAEAtEe28WjBBfWoCVC+6/eRO8R4CkJTeXrhBpz0xx/X6\n9S/X6fznPtPxFVNfdx044so8frpim/49f51tPwePHFP3idP1/neboj9oVBsBIwAANVystrt4+5pB\nru//d+0gPy0dejYvrNb9gok9OzbO93jdsn6uMtL4+AOEa9FPu1zfT/i/xfqm4vWgyR+q+8TpGvfi\nl1r7835d+LfPdcsb31S5vrzc0vzVO7TrwBFNeu/7mI0b4aPoDQAAtUS0k3ul9XNDan/5kFZauWWf\nNuw6YHv+xz+NUSuv9VbuvAPhrPQUHTxS7nGsWd1sTb1hiErHT5EU/SwrUFut31n5//HQB2a5vnf+\nvydJ/7qiv37x7Geu11TBTg78ig0AAERcMFk8Y4z+fHY3nwVvUnwUp8lKt+/7koEtbe4RcBgAYsQ9\nWJSkNT/v17FyS89+vFIvfLpKve+ZoUNHj2nDTvtfIiE+yDACAFDDWVH6PX6dTEfF1OL8rCrnOjTK\nr3IsEkrr5ei5i8p0wiMfVzlX3SmuAGLPu2pr+wnTJDl+MTSsXQM9dn5Prdq2T+2L82QC/AZo3fb9\nGnL/LL04rg+VtSOIgBEAAISld4siPXJed53YOfhqp9XN+M3+/XCt274/7OuZAgckh4NHyvX+d5s1\n6b2lenHuag1r10AfLduqNg3r6Jlf9lKbho7tf1Zs2aORD3+sv19cpgVrdkiS3vxqPQFjBBEwAgCA\nsJ3Rs8Tj9cDW9TR35c8ex24c2U6PzFwWdJ+P/qKH6tfJDNguI9VzaqpdLNq7Rd2g7wsg8bw4d7Uk\n6aNlWyVJK7bs1ciHHTMMhrStr0+Wb5MkTV28SW8s+KnK9QePHNOxcku5mf7Dnq/W7tDCtTt16eCq\nU9trO9YwAgBQS5gYlHx55df9tOK+0ZKk9sV56teySDeMbBtSH6f1aKpBbepLkro2LahyvqRutq47\nvo2ev6RPwL4uH9IqpHuf0bNpSO0BxI8zWJTkESy+s2iD6/sOt09T5zvflyRd/tJ8XfT8F7Z9nfnU\nXN397pIojTS5kWEEAAARk5JilFIRmL5/49Bq91eYU3VvR2OMbhrVPqjrvdc8BRMyP/ur3npy1gpZ\nkmvLAMmxz+SuA0eCui+A+CovtzwKZ7lXa928+6D6/ekDzbhxqFo3qOOzwFa4Dh8t14Ejx4LamzYZ\nkGEEAKCGi9U+jNGQGsIHuUAFMYLqQ9Kozo309rWDVcdrClvjgqrFfQAkJn9b8vT70weSpBMe+Vit\nbn1Pz89Z5Tr3wPtLtffQUU2eulS/+vvnWrl1r/72yY8qHT9FO/cf1t5DR/V/X6/X4aPlPn+BNO7F\nL9R94vTIvqE4IsMIAEAtkQhbTIQa1E0+s5uenr1C/5i3JmBbyysyPqtX5frKKdcP1tjH5gTuw8+5\nSASkAGLHPavoj/tU1CdnrdSTs1a6Xl/8/Bc6eszxN8NfP/5RT892nLt3yhJt23tYqyePlSS9vXC9\nOjcpUJuGdfTpCs913MmOgBEAgBquW0mh5q78OahCMommUUGWJp7WJaiA0dutYzq4vs9KTw35+ljH\nh8PbN9CsH7bG9qYA/PppR+WekM5gUZK27T0syRGUZqSl6PDR8piPLVYIGAEAqOFuHtVOJ3drrPaN\n8uI9lLC98ut+Wrl1r9827hlA52/9nVIrzgWqlBhP+TVkvRNQ2/gKFl/7Yq0+Wb5VD5/bI6xfWiUK\n1jACAFDDpaWmqItNtdFkMrhtfV08sDTs61vUy9GtYzro2Yt6exxfNWmMTu7WOKg+ejQrDPv+wWDC\nK1Cz/PGtb/Xet5vU4fZp8R5KtRAwAgCApPX0hb3Uqn6u67WvaaTGGF0xtLUaF2RXOf7EBb308Lnd\nq17jFcLdcXInXTk0tG06ACDZETACAICkNbprY7WsCBiNpIV3jNKCCSOjcq/sjFT9cUxHn+fzs4Kf\n7jp+dIfAjQAgASTuRH4AAIAQRXLfs5tGtdOqbft029iOKs4PXDAolN1LfjOstSZPXepxjCqsABIR\nGUYAAJDUIhFo9W1ZJEk6p6xyK46ezevq0/HHa0zXxurdoqjKNWf0bKp3rxvsWtvovqvHK7/uV6X9\nFQGmsxIuAkhEBIwAACCp3XdGF/2yf3MNa98g7D5K6uZo9eSxGti6ftDXPHJeD3VpWqB/jOurQW3q\n6fIhlQHh4LZV+xnQqp5tP12bFui49g10Yf8WoQ8cAKKMgBEAACS14vws3Xt6V6WnxuZjzcRTO2to\nu8rgtCAnXa9e1l8NA0xbTUu1zyEW5WboxXF9VZSbEdFxAkAkEDACAACE4OKBpXrp0r5Vjls+FjE6\nM4upPqbORnrpYveS5N5CBUBiIWAEAACIgDoBqqSGUhSnXjWyjaHcBwACIWAEAACIgJO7NrY9HmwG\nsbReji4ZWKreLerqZZuiOe5GdSoOdXgAEBa21QAAAIiAlBTPyPCETsX6YdMe12tfU1adjDG669TO\nQd3rgbO7a/rd023PBboPAISCDCMAAEAUPHdRmT6+ZbjP8384qYOk8LbTKMjxvd+kFcKk1CYFWWHc\nHUBtQsAIAAAQA95TU9s3qhOV+5BhBBBJBIwAAAAx4CuQCze+W3rPSbbHezYvDLNHAKiKgBEAANQ6\nFw9ooU6N82Nyr0hvm+GUlZ5qe3ziqV1065gOQfVhojU4ADUGRW8AAECtM/G0LjG/p6+1hZEO2VJT\njK4Y2lp/em9phHsGUBuRYQQAAAnhjJ5NdcnA0ngPI+JMmCFhm4aVaxybF+UoP8A+j5GQm2GftayO\nC/o1j3ifAGKHgBEAACSER87rEfS2EjVBoOI0qW7TRS/o11xzxh9fpc3zl5T5vD49NfRA9bu77ddF\nuhvdpVFIfYbaHkBiSdqA0RhzjTHmG2PM7or/5hljxsZ7XAAAoKp7T++i4vzMeA8jrnwFiL7WEbpP\nYfUV+h3fodjn/TLTIp8tlKQezSiqA9QmSRswSvpJ0h8k9ZJUJulDSf9njOkW11EBAIAqftm/hT6/\ndWS8hxEXkaork+2jyI0vb1w1IDI3BlCrJW3AaFnW25ZlTbUsa4VlWcssy7pN0h5J/O0IAADioltJ\ngdJSfGUMQ+OdkUxPDe1jW4dGsakCC6Bmi1rAaIw52xjzuDHmk4opo5Yx5pUA15QYY543xmwwxhwy\nxqw2xvzFGFM3wHWpxphfSKojaW4k3wcAAECw/nftYK3405ig2gZawxgL3UoKIt7nqd2bRLxPAPET\nzQzjBEnXSuohaX2gxsaY1pIWSBon6QtJj0j6UdINkuYZY+rZXNPVGLNX0iFJz0g6w7KsbyP2DgAA\nACLE18xUX8djEU82LcyOeJ+/7N8i4n0CiJ9oBow3SmonKV/SVUG0f0pSQ0nXW5Z1umVZ4y3LOl6O\nwLG9pPtsrvlBjoC0n6SnJf3DGBP7jZUAAAACSICEol9n9SqRJE2/cah8zKoNSloY1VkBJK6oBYyW\nZc2yLGu5ZQWecFGRXRwlabWkJ71O3ylpn6RfGWNyve5xuGIN4wLLsv4oaaEcgSoAAEBSc/8IFanC\nOf48dG53SVK74jyd16dZ2P30bFaoc8tKIjUsAHGWKEVvhld8nW5ZVrn7Ccuy9kj6VFKOpP4B+kmR\nVLtrdgMAgITk/Tv0SGYcz+9rH+C9elk/PXlBrwjeKTBjjG4e1T6m9wQQPYkSMDr/Vlnm4/zyiq/t\nnAeMMZONMUOMMaUVaxknSTpO0qt2HRhjrjDGzDfGzN+6dWukxg0AAOCXr30WK8/bH//j6I5B9b/0\nnpN03+ldbc8NalNffUp91w4c3bWx375TU4xrqmooGuZnKSPEqq6SdOPIdoEbAYipRAkYnSW6dvk4\n7zzuvlNsI0mvyLGO8QNJfSSNtixrql0HlmU9a1lWmWVZZQ0aNIjAkAEAAKJnZKdiXTa4pSTJVJTG\n+fvFZXrl1/082mWlpyoljEWHp/doot4t7INJZzL0ntO66KIB4RWxuf9sx9bYbRvmBX1Nx8bBtwUQ\nG2nxHkC4LMu6JN5jAAAACJb3FNQgyjxUMaJjsd/zdXPSg+rn4XO7a1TnRgHbVWft5Ok9m+r0nk3D\n7wBAQkiUgNGZQfS1GZDz+M4YjAUAACBiAsdcvluEElJ+/Pvhys+u+tHOro8zw5hmGgt5WcEFvE69\nW9TVgjU7ojQaAFLiBIw/VHz1NXG9bcVXX2scAQAAElKXpvn6aNlWNcwLvy5fMJm+5vVywur77N4l\nGtXJf+YyGI+f31M79x+uVh8DWlfZdluS1CAvU1v3HKpW3wDCkyhrGGdVfB1ljPEYkzEmT9IgSfsl\nfRbrgQEAAFTHjSPb6X/XDlLnJr4mUsXXg+cENz01kLFdG+tXA0rDvj43I1WSdMnAqn18/scRYfXZ\nt2VR2OMB4JAQAaNlWSslTZdUKukar9MTJeVKetmyrH0xHhoAAEC1pKWmqFtJYZXjbRrWkSSd0Kmh\nz2vDWOYYcXZD+M9vBui0Hk1C6mdsgIqsTn84qUOVYykpRi+M66M3rxqoly7t6zqel+V/spyR9LeL\nytSkICuksQKoFLUpqcaY0yWdXvHS+WurAcaYFyu+32ZZ1s1ul1wtaa6kx4wxIyR9L6mfHHs0LpN0\nW7TGCgAAEGutGtTRdxNPVE5FZi2Z9Ckt0qqt+/T2wg1BtV89eax27DusKd9ulCQtu3e02k2wLWwv\nyytEbVaULUka3r5qYP3bke00+wf/26WN7FSsD5Zu1mtfrAtqrAA8RXMNYw9JF3sda1XxnyStkeQK\nGC3LWmmMKZN0t6STJI2RtFHSo5ImWpbFimYAAFCj5GZGv5yEd5byiQt6RqTfU3s00dfrduq1L9aG\ndF1hTroy0lKUmmJ0rLxycN77VWanp+qFcX3UukEdn33VzUnXXad00l3vLAlt8ACCFrW/pSzLukvS\nXSFes07SuGiMBwAAINl4Z9si4eRuoU0l9da/laMwTVZ6qiad2dUVMAa7BYczgPW1rUhqxZ6SXZrm\nu+5VfdXYHwSo5RKlSioAAAB88M6+xUP3kgK9fe3gsK8P9i1kpqXqzasGqE3DvLDvBSByEqLoDQAA\nABJHx8b5kqTmRTk+M4Hh8tWfezzZu0WRCrKD25MxJ4LTelt4bU0yd/zxQV+bEv+YHogKAkYAAIAE\nFa8qqRcNaKF3rxusQW3qVx6sZpbTeE0LjcRby8tK11m9SsK69rMgtupoUpgddH/TbxwW1jiARMeU\nVAAAgBi5cWQ7lYcRBcY6eWWMUZemiblvpCR9eNMwrdq2T0W5GR7HT+3eRP9bVLVya0Zq5U/wrF4l\numlUOzWK8FYbTQrZugM1EwEjAABAjNwwsm3M75mdINt2pFUEbc7prs64+YVxfTTuhS9d54PRqkEd\ntfJTPdXbTSe2V0Zain47sp2y01OV4mP+aHoqk+8Ab/xfAQAAUIMVZKfr/d8ODXtGaWaaI+Cs55XN\nC1VuZpr+feUAPXdxmcfxrhWZzGgW9snPStdtYzspNzPNZ7D4m2Gtdd3xbULuOz2EQBdIRgSMAAAA\nCa66sVT7Rnn6buKJWjzxxJCv7dQkX386o6sePre77XnvjKE/fVsWKT8ruGI2sTZ+dAd1Kyn0eX5E\nh4ZVjs383TDXNiDeazSBmoKAEQAAoBbIyUhTnTAril7Qr7kKc+wzjK9e1k+vXd7fZ+bOl4GtI7XH\nYqVQA+sJYzt6vG5ZPzekoLpNw+CnxYZr/OgOUb8H4A8BIwAAQIKK9JYW0VCUm6EBYQR/z11Uppm/\nGxrRvFyoP67LhrSqcsw7qM7P8h9kR/uPaHSXRtG9ARAAASMAAECCq4mTHXMz09SmYV68hxHQzN8N\n09vXDArYzhjHvpVATUOVVAAAAMCHhvlZapjPlhmovcgwAgAAJKi2xY4MXPN6ZK4SleXxfeTnpybB\nrGTUcASMAAAACerCfs319jWDdHyH4ngPJSl1blIQ7yFE3H1ndNF3fgrzfHDTsBiOBrUBASMAAECC\nMsaoezPfWz3Ak3eV1D+OiXyF0dyM1LCue+rCXvr14JbVvv+F/Voo10+129YNol+5FbULASMAAABq\npPTUyH/UffQXPT0PBDlldEzXxspMi9x47PaFBKKBgBEAAAC11muX99edp3QK6ZoJYzvqkoGlHsdC\n3QMyWL7i0b9f0ifoPurXsd9DM5A+pXXDug41C1VSAQAAkNQGtamnEzoW6+t1O0O+dkDreiHvI2m3\nf6M/BdnpkqTCnPSQrou31JSauKELQkXACAAAgLhJqUjN5WeF/7H01cv6S5K+/tfXERlTpDnjrnGD\nWqpOZrqa1s3WN+t26qEZyyLS/wNnd9Pv3/gmIn05taqfG9H+kLyYkgoAAIC4qZuboYmndtYrl/Wr\ndl/XHd9W7Su2IokV9600vLfAmHrDEI/X6akpuqBfcw1r18Bv4RrJMe21b8siWUHsq3FOWbPgB+zD\nqkljPF5nh1ncBzUPASMAAADi6uKBpSqpW/29Jts0rKP3bxwagRGFzshz+mZORqqK87PC6mtg63q6\nbEgr/fvKAX7bLZgwUovuGOW3zSUDS/XSpf6D8YV3nCBjqo4fkJiSCgAAAETU+X2badyg4LbQGN6+\ngWb9sFWStHryWB09Vu6aphtIvTqZtscfOqe7bvrPIknSXad2DthPYU7VojhPXNBLNyToFF/EFhlG\nAAAAIEx2M0avPq6N2gU5NbZFvVyPvR3TUlOUUs1iM2f1LqnW9ZJss6OD29Svdr9IPmQYAQAAgGqq\nzrYaC24/QeVBrFX0p3lRjvq2LKpWH4HkZxM61Eb8qQMAAABR4Iwh69hUgHUPMLPSq79e8ONbhle7\nD8AOU1IBAACAAO49o4vOLSvR0HYNPI7/blQ7SVKqTYqxbm6GJoztqH9WbPtRXXkBKqtGirPgzegu\njWNyPyQ2AkYAAAAggMYF2br/7O7KSPP8+Hz1cW20evJYpaQYXTKwVJJUlFtZROayIa3UrKj6FWBb\n1s/VtxNPDPv6fi2L1LlJflBt5/zheEnSRQNa+Gzzwrg+YY/F3dvXDIpIP4gepqQCAAAAEXDZkFa6\nbEiriPZZvZWNlV6v2KKjdPyUgG2dAa/3VhvuhrdvGJFxeQfgSDz8CQEAAAAJrnp1UyPDuddk92aF\ncR4JYomAEQAAAABgi4ARAAAAQNiaFGTplO5N4j0MRAkBIwAAAJCgqrk9oz0pLQAAIABJREFUY0Q1\nKcyyPZ6fna7Hz+/p99o6MarwisgjYAQAAADixAo2IozwIkb3Sq7B+Ofl/TS6a/DbbDgrxjqN6drI\ntp2fujpIEASMAAAAQIzFK06685ROkqQhbesH1f6N3wzQhzcN08DW9YMe8zvXDtZtYzt6HBs3qKXP\n9t7BpbsW9aq/JQmqh9wwAAAAkLAiOye1IDtdUvABa1lpkev7zLRUSVJ9H9nJh8/tru37DqtrSUGV\ncyl+Uol3ndpZL85dHeSIEGsEjAAAAICX4vzMeA/BQyLM3OzUJF+Tz+yqk7p4Ti/9/YntJUln9iqJ\n6Xi6lRTom592xfSetRFTUgEAAAA3b/xmgN65bnC8hxFVJszFg7/o21yFOZ4ZxuM7NIzEkGJi/oSR\n8R5C0iFgBAAAANyUlRapYZ59RdBI6dasUJI0oHVwawkTma/g09/axHipXyexMsfJgIARAAAAiLFe\nzevqm7tGVZne6c25brBp3eQr/nLXqZ3jPQREQFIHjMaYq40xq4wxB40xC4wxQ+I9JgAAACAY+Vnp\nAds0K8rRUxf20uO/8L/PYbgy0hIrHDile5Og20Zrj8oHz+kenY6TVNIWvTHGnCfpUUlXS5pT8XWq\nMaaTZVlr4zo4AAAAIELGhLD/odO71w3Wii17qxxv1aCOJKlXi7o6rn0DdSspDHtcWekpumFEu7Cv\nt+M+ufWpC3vpz9OW+mx7Wo8m+nY9RW+iLbF+pRCa30l60bKs5yzL+t6yrOskbZR0VZzHBQAAAMRV\nl6YFOr1n0yrHezQr1Ce3DNcv+zXXaT2aqmX93LDvsfSe0brquNbVGaaMn/qvgQLlER2LJUlNC7Or\nNQb4F7WA0RhztjHmcWPMJ8aY3cYYyxjzSoBrSowxzxtjNhhjDhljVhtj/mKMqevVLkNSb0nTvbqY\nLmlgZN8JAAAAUHM0K8qxLVRz8YAW+kWfZlG5Z0ldR1BX5GMPx0D+feWAKsesijmp6amV72V0gDWh\ndk7oVOzxulF+aAWPujcLP0ubDKKZYZwg6VpJPSStD9TYGNNa0gJJ4yR9IekRST9KukHSPGNMPbfm\n9SWlStrs1c1mSaE/JQAAAEAtN/G0Lpp8Vreo9J2bmabVk8fq1cv6hXV9wzzf1U2NMXrqwl4+z9fN\nCbxW1F2TwtACxp4EjGG7UVI7SfkKbproU5IaSrresqzTLcsab1nW8XIEju0l3Re1kQIAAACIuLQU\no9+ObBvvYUTEPafVzqqvUQsYLcuaZVnWcssKXL+oIrs4StJqSU96nb5T0j5JvzLGOCdZb5N0TFKx\nV9tiSZuqM24AAAAAkbHiT2P025HBF8YZ3DZy+1JeMbRVUO1uG9MxqHZ9W9YL3KgGSpSiN8Mrvk63\nLKvc/YRlWXskfSopR1L/imOH5Zi+eoJXPydImhvdoQIAAACIpDN7OQr0nFsW/BrKOlmODR96Na+r\ntBTHOsbs9NSQ711ajcI/tUGiBIztK74u83F+ecVX919PPCzpEmPMZcaYjsaYRyU1kfSMXQfGmCuM\nMfONMfO3bt0akUEDAAAgMbWol3wb3ddmD5/bQ6snjw3pmoZ5WZp6wxDdd0YXjehYrBtGtNWdp4Q3\nbbRPad3AjXxITfFd6bUmSJSAsaDiq6+NVJzHXStKLct6XdJv5Sius1DSYEljLMtaY9eBZVnPWpZV\nZllWWYMGDSIzagAAACScz28doSnXD4n3MBBFrRs4soIdG+crKz1VqSlGN57QTgUhFrhx+s9vgtto\n4W8XlVU51rVpgU3LmiMt3gOoDsuynpKjWA4AAAAgSSoOcVsExE9GWqLkr4IzspN3CRXJZocSl7zM\nNH05YWQURxR9ifIn5Mwg+grPncd3xmAsAAAAAKKoOD9TD53TXS3DXD8Yz70Pv7wt+ABw6m+HKCuM\ndZWJJFEyjD9UfPVVQslZi9fXGkcAAAAASaJuTobO6l0S1rXvXjdYbRrWifCIKtWrY7/nY0ndbElS\nAz97QjoNa9dAT17YS3UyEyXcCl+iZBhnVXwdZYzxGJMxJk/SIEn7JX0W64EBAAAAiIx2xXk6q1eJ\nHj+/Z9h9dGlaENWsXUF2upbfN9r1+tFfOAry5IYQ/BmjGhEsSgkSMFqWtVLSdEmlkq7xOj1RUq6k\nly3L2hfjoQEAAACIkNQUo4fO7a62xXl+2xXlZkhy7JFYlJuhRgWhr0t1Vi9tXhR6xdz01BTXFh2n\n9Wga8vU1SdTCXmPM6ZJOr3jZqOLrAGPMixXfb7Ms62a3S66WYw/Fx4wxIyR9L6mfHHs0LpN0W7TG\nCgAAACAxPHhOd/UtLZIkjercSKM6Nwpwhb38rHQ9+6ve6t2irnrfOzNg+5m/G6YNOw+4Xn926wgd\nOnosrHvXJNHMk/aQdLHXsVYV/0nSGkmugNGyrJXGmDJJd0s6SdIYSRslPSppomVZO6I4VgAAAAAJ\n4Gwfaxu7NyvUZYNbhtRXKMFmm4Z1PNZGFmSnSwpvm46aJGoBo2VZd0m6K8Rr1kkaF43xAAAAAEhe\nb18zKN5DqOIv5/WwPZ6emhAr/yKi5rwTAAAAAIih03t6rm9sX5ynK4a20p/O6BqnEUVezSjdAwAA\nAABx9u71g2tUdlEiwwgAAACgBhk3qDRu965pwaJEwAgAAACgBslII8SJJH6aAAAAAGqNCWM7auoN\nQ+I9jKTBGkYAAAAANZox0uA29SVJlw1pFaB1aGriNFR3BIwAAAAAarRVk8ZGre8TQ9jrMRnV7HAY\nAAAAAKIoNcXEewhRRcAIAAAAALBFwAgAAAAAsEXACAAAAACwRdEbAAAAALXOwjtOkFHNXn8YCQSM\nAAAAAGqdwpyMeA8hKTAlFQAAAABgi4ARAAAAAGCLgBEAAAAAYIuAEQAAAABgi4ARAAAAAGCLgBEA\nAAAAYIttNQAAAADUGJcNbqXvN+7R+X2bxeyeU64frN0HjsbsfrFEwAgAAACgxmiQl6mXLu0b03t2\nblIQ0/vFElNSAQAAAAC2CBgBAAAAALYIGAEAAAAAtggYAQAAAAC2CBgBAAAAALYIGAEAAAAAtggY\nAQAAAAC2CBgBAAAAIATXj2ir5kU58R5GTBjLsuI9hpgrKyuz5s+fH+9hAAAAAEBcGGMWWJZVFqgd\nGUYAAAAAgC0CRgAAAACALQJGAAAAAIAtAkYAAAAAgC0CRgAAAACALQJGAAAAAIAtAkYAAAAAgC0C\nRgAAAACALQJGAAAAAIAtY1lWvMcQc8aYrZLWeB0ukLQrwKWB2vg77+9cfUnbAtw73oL5+STCPcLt\nI5Tr4vWsJMNzIvGshNqWZyXx7xFOH5F+ToJpx7MS/3vwrMQfz0pobXlWEr//aD4rLSzLahCwlWVZ\n/OcImp+tbht/5wOcmx/v9x+Jn08i3CPcPkK5Ll7PSjI8J5H6c4zFPXhW4v9fTX5WIv2cBNOOZyX+\n9+BZif9/PCs8K7H8c4xF/9F+VoL5jympld6JQBt/54PpP5HFYvyRuEe4fYRyHc+KfzwrobXlWUn8\ne4TTR6Sfk2Da8azE/x48K/HHsxJaW56VxO8/2s9KQLVySmqiMcbMtyyrLN7jQGLjOUGweFYQLJ4V\nBItnBcHiWal5yDAmhmfjPQAkBZ4TBItnBcHiWUGweFYQLJ6VGoYMIwAAAADAFhlGAAAAAIAtAkYA\nAAAAgC0CRgAAAACALQJGAAAAAIAtAkYAAAAAgC0CRgAAAACALQJGAAAAAIAtAkYAAAAAgC0CRgAA\nAACALQJGAAAAAIAtAkYAAAAAgC0CRgAAAACALQJGAAAAAIAtAkYAAAAAgC0CRgAAAACALQJGAAAA\nAIAtAkYAAAAAgC0CRgAAAACALQJGAABixBjzrjHGMsbcHO+xAAAQDAJGAABip0fF14VxHQUAAEEy\nlmXFewwAANR4xpj6krZWvGxgWda2eI4HAIBgkGEEACA2nNnF9QSLAIBkQcAIAEBsdK/4ynRUAEDS\nIGAEACA2XOsXjTHpxpjrjDGfG2N2G2M2GWPeMsa0iusIAQDwkhbvAQAAUEs4A8YtkuZL6iZpvyQj\nqVjSGZL6GGM6Wpa1Nz5DBADAExlGAACizBiTKalDxcs7Je2TNEhSHUm5ks6RdFRSiaTz4jFGAADs\nEDACABB9XVQ5q2eZpOMsy5prVXpD0rsV59vFZYQAANggYAQAIPqcBW+OSDrfsqzDNm12VHxlvysA\nQMIgYAQAIPqc6xdnWpa12kcbZ8EbX+cBAIg5AkYAAKLPGTC+46dN14qvi6M8FgAAgkbACABAFBlj\njBwVUSVpgY82zSUVyTEddVGMhgYAQEAEjAAARFdLSQWSyuU7e+jMQK6yLGtPTEYFAEAQCBgBAIgu\nZ8GbZZZl7Q/QZmEMxgMAQNAIGAEAiC5n9tBfMOhsw3RUAEBCIWAEACC6QgkYyTACABIKASMAANHl\nNxg0xuTLsc5RIsMIAEgwBIwAAESJMaZQUvOKl76yh90kGUk7LctaE5OBAQAQJGNZVrzHAAAAAABI\nQGQYAQAAAAC2CBgBAAAAALYIGAEAAAAAtggYAQAAAAC20uI9gHioX7++VVpaGu9hAAAAAEBcLFiw\nYJtlWQ0CtauVAWNpaanmz58f72EAAAAAQFwYY4LayokpqQAAAAAAWwSMAAAAAABbBIwAAAAAAFsE\njAAAAAAAWwSMAAAAAABbBIwAAAAAAFsEjAAAAAAAWwSMCcKyLFmWFe9hAAAAAIALAWOC+Hj5Np35\n9FzNXbkt3kMBAAAAAEkEjAnj0JFj2rjzoC547nNd+LfP9PXaHfEeEgAAAIBajoAxQYzq3Eizf3+c\nJoztqO837tEZT83V5S/N19JNu+M9NAAAAAC1lKmN6+bKysqs+fPnx3sYPu09dFQvzFmlZz/+UXsP\nH9Vp3ZvotyPbqbR+bryHBgAAAKAGMMYssCyrLGA7AsbEtXP/YT3z0Y96ce4qHT1m6ZyyZrp+RBs1\nLsiO99AAAAAAJDECRj+SJWB02rL7oJ6ctUL//GKtjDG6qH8LXXVca9WrkxnvoQEAAABIQgSMfiRb\nwOi0bvt+PfrBcr311U/KTk/Vrwe31GVDWyk/Kz3eQwMAAACQRAgY/UjWgNFpxZY9emTGck35dqMK\nstN11XGtdfGAUmVnpMZ7aEgC0xZv0s/7DunCfi3iPRQAAADESbABI1VSk1Cbhnl68sJeeve6werZ\nvFCTpy7V0Adm6aV5q3X4aHm8h4cE9uXq7br2n1/ptv8u1twVNX/Pz/JyS+Ne+EKvfbE23kMBAABI\nSgSMSaxL0wK9OK6v/vObAWpZL1d3vP2djn9ott5Y8JOOlde+zDH827L7oK5+9SuV1M1Wy/q5uuXN\nb7Tv0NGYj+PhGcv0yIxl2nXgSNTvNfP7zZr1w1a9+vmaqN8LAACgJiJgrAH6lBbp9Sv76x+X9lVh\nTrpu/s8infiXj/XetxtVTuAISUeOleuaf36lvQeP6q+/KtMDZ3fT+p0HNHnq0rD6Wr1tX9jP1nMf\n/6hHP1iuwX/+UE98uFzRmhZvWZae+WilJGnx+t3asvtgVO4DAABQkxEw1hDGGA1r10DvXDtYT1/Y\nS5J09atf6dQn52j2D1ui9qEcyeG+Kd/ry9U79Oezu6l9ozyVlRbp0kEt9fJnazR3ZWhTU+/633c6\n7sHZ6nH3dI174Qs9NXuF9h+umqk8cPiY9nplMC3L0oEjx3Ryt8bqU1qkB6cv05woTY2dv2aHvlq7\nU+f3bSZJmr1sa7X7vOafX2nS1O+r1ccXq7brjrcXV3ssAAAAsZAW7wEgsowxGt21sUZ1bqT/+3q9\nHpm5TJe88KX6lhbp5hPbq2/LongPMSFZlqV/fblOL3y6SpKUmZaqrPQUZaalKjMtRZnpKcpKS1Wm\n81h6ivKz0jW0bQN1aZovY0yc34Fvby9crxfnrtalg1rq1O5NXMdvHtVeH3y/Wbe88Y3e/+1Q5WYG\n/utg/urtevXztRrdpZEKstM1f80OzfrhB23fe1gTTu7k0fZ3/16oHfsP619XDHAdO1SxxrZzkwKd\n37eZetw9Q99v3K0hbRtE6N1W+sfc1aqbk67bT+6kWUu3avYPW3RuWbOw+zt8tFzvL96ko+WWejYr\n1EldGofVz7l/nSdJunVMR2WlU6gKAAAkNgLGGio1xeis3iU6pXsTvf7lWj3+4Qqd+9d5GtaugW4e\n1V5dSwriPcSEsXHXAf3hzW/18bKt6t6sUI3zs3To6DEdOlquA0eOacf+wzp0tFyHjh7TwSPlOnTk\nWMXrcj3w/g9qWpitUZ2LdVLnRiorLVJqSuIEj8s279Ef3vxGfVsW6Y9jOnicy85I1f1nd9d5z87T\nn6ct1d2ndfHb1+Gj5br1v9+qaWG2HjynuyvAvOwfX+rdbzbq1jEdlVLx3ncdOKKZ329Wk8Jsjz4O\nHD7muHd6igpzMtQwL1M/bNobqbfrYlmW5q38WcPbN1RORpqGd2igdxdt1JFj5UpPDW9ixcqte3W0\n3FJGWorun/ZD2AGj0+4DRwgYAQBAwkvagNEYkyfpHklnSGoo6WtJN1iW9WVcB5ZgMtJS9KsBpTq7\ndzO9NG+1nv5opU55Yo7GdP1/9u47Pqoy6wP475mankB6QiAECKGD0kGKiAro2rvrqmtZxa6rYC+o\n7Lr23vVVsWJDpPeO9A6BkE56b1Of9487986dmTslyUwygfP9fDQztz6TBJgz53nOScJD0zPRNyGy\ns4fYaTjnWLirCM8tOgizheP5SwbhxjG9pKDHm+pGI1YeLsWygyX4Zls+Pt+Ui9hwHaYPTMQFg5Mw\nvk8s9JrWBwRmixWL9hXjkw0nMbRHDOZdOrjNQeg3W/PAwPDO9SMUA6XRvbvj5vHp+HxTLi4dkYqz\nenZze62PN+TgWGkDPv3HSIds5MXDUrDycBl25ldjVLqQwV5xqBQmC0eTLUAUNZtsAaOtBUz/pEhk\nl9W36bV5crysAZWNRozJEMYzOTMB324vwN6CGoxMb1uW/WiJMM5R6d2wr6C23WOsbTYhISqk3dch\nhBBCCAmkLhswAvgEwFAA/wBQCOBGACsZYwM550WdOrIgFKpT487JfXDdmJ74ZMNJfLohB0sPlOCy\nET3wwHn9kNY9rLOH2KHK6lvw+M/7sfJwGUald8MrVw5Delx4q67RLVyHq0am4aqRaWgwmLHuaDmW\nHizBH/tO4bu/ChCp12BqVgImZ8ZjTEZ39Ojm+XtsMFvw085CfLDuBAqqmpEaE4pvt+fDZLHiv1cM\n9TmQldtfVIshqdFIiHQfmDxyfn/8srsIH6w9gY9uUm7Fk1fZiLdWZWPmkCRMG5DosG/agEToNSr8\nsbdYChiX7D8FwJ5RFIkBo5hZ65cQiQXb82C18ja9Pne2nqwCAIzpHSvcJzECAFBQ3eQxYPx4fQ6G\npcUoTt0+UlIPrZphWI8YbD5R2aYxy9cSd0SVWEIIIYSQ9uqSASNjLBTAFQCu4JyvtW1+ljF2MYC7\nADzZWWMLdlEhWjw0PRP/GNcLH6w7gS+35OH3vUW4bnRP3DO172mf8eCc4/e9xXjm94NoNlrw5KwB\nuGVC73ZPI43QazBraDJmDU2GwWzB5uOVWHqgBCsOl+L3vcUAgB7dQjGmdyzGZnTH2IxYKUhvMpqx\nYFs+Pt6Qg9I6A4alxeDpiwZhWlYC3lyVjTdXZUOjYnjpsiGtClDMFisOnarD9aN7eTwuXK/B38f2\nwjtrjiOnvAEZ8REO+znnePLXA9CqVXjm4kGKr/3crAQs3l+Cpy8ehEajGRuyK6BRMTQZzeCcS2s8\n7VNSxQxjBFpMVhRUN6FXbOsCdk+25VQiKSoEvWKF73F8pB4AUF5vcHvO8bJ6vPjnYZw/MNFNwFiH\nPvER6B6uA+dAaX0Lnl90CM/+bRASffxzU9VolB7XNFHASAghhJDgF7CAkTF2JYDJAIYDGAYgEsA3\nnPMbPZzTA8DzAC4EEAvgFIBfATzHOa92GrcagHOd/GYAE/31Gk5nsRF6PDFrIG6d2Btvrz6OBdvy\n8cOOAvxjfDr+NakPuoXrOnuIflfZYMCTvx7AkgMlGJ4Wg/9dNQx9EyK8n9hKeo0aU7MSMDUrAS9b\nOY6W1mNbTiW25lRh9ZFSLNxVCABIjQnF8LQYbD5RgeomE8ZlxOK1q4djfJ9YKcB64Lx+sHKOt1cf\nh0rFMO+SwT4HjSfKG9FismJIjyivx940Lh0frsvBpxtP4sXLhjjsW7z/FDZkV+A5D4HRxcNSsORA\nCbblVKKkrgVGixXnDUjEysOlMJitUkaxxWlKamaiMCX6WGlDuwJGs8UKjW3KLeccW3OqMKGv/fsY\nqdcgRKvyGDB+vTUfALCvUHm66dGSeozNiEVkiPDX5pYTlVhyoART+yfg6lG+FdMprG6WHlOGkRBC\nCCFdQSAzjE9CCBQbIEwZzfJ0MGOsD4DNENYj/gbgCIDRAO4HcCFjbALnvBIAOOf1jLEtAJ5kjB0A\nUALgOgDjABwPzMs5PSVHh+Kly4bgzkkZeGNlNj5an4MFW/Nx+6QM3DqxNyJ8qJzZFSw9cApP/HIA\n9S1mPHphf9xxToYUYASSSsUwIDkKA5KjcPOE3rBaObLLGrDtZCW25lRiZ141zurZDXdP7Yuze7mu\nH2SM4aHpmTBbOd5fewJqxvD8JYN8qsq6v0gIfIakei9wFB+px+VnpeKnnYV4aHomYiOEjFyT0YwX\nFx/GoJQo3DjWfaZSKC6jxqJ9xSivNyIlOgTj+sRi5eFSNBstUsDY5JRh7CcFjPWYPjBR+eJeHCut\nx0VvbcSieyeif1IkcioaUdFgkKajAsL3MT5SjzI3AWOz0YKFuwoRolWhpK4FZXUtDtn22iYTTtW2\noH9SJKJCtACA/KomAEIxHF95Cxg55w4BdnsVVDUhv6oJE/rG+eV6hBBCCDnzBPId84MAMgFEQZgm\n6s17EILF+zjnl3LO53DOzwXwOoD+AF50Ov7vAKwQglEDgPsAfGvbRlqpV2w4Xr9mOJbePwnj+sTi\ntRXHMOm/a/DJhhwpK9QV1TQZcd+3u/Gvr3chOSYEi+6diLun9O2QYFGJSsXQPykSN41Lx3s3nI2t\nj0/DpzePUgwWRYwxPHpBf9w5KQNfbc3Dc4sO+dRX80BRLcJ0avSO8y2Lets5vWEwW/HV1jxp23tr\nTuBUbQue+9sgj9N2Q3VqTB+YiD/3l2B9djkuHJyMcFsWsUn2++O8hjFCr0FqTKhUUKYtduZVw2ix\n4tApIUDeLq5fzHCcVpoQGeI2w7jicCnqW8y499x+AFyzjOUNwmSGlJhQRLoEjI0+j7W4xnPA+H9b\n8pD11FJpnI0GM77/K9/nPqrpcxbj5T/tfSIveXcTbvhkGyxWx/ObjRYYzfRXJSGEEEK8C9i7Zs75\nGs55NvfhnY4tu3g+gFwA7zrtfgZAI4C/M8akOWuc8xOc88kAIgCkcc5HA9ACyPHTSzgj9U+KxEc3\njcSvsydgUEoU5i0+jCmvrMWCbULxla5k1eFSTH99Pf7cfwoPnpeJX+6egP5JXbMqLGMMc2Zk4Z8T\ne+OLzbl4eckRr+ccKKrFoJQon9dn9k2IxLSsBPzfljy0mCzIq2zER+tzcNmIVJ8qi140NAW1zSYY\nzVbMGpokTTttNpqlY5ynpAJAZmIEjpV6DxiLaprx5eZcmJ1+D8VzT9UKQV1OeQP0GhUynIoYxUfo\n3QaMB4tqoVOrcNO4XlAxYF+RY8AoZkbDtGppSmphlRD85VS4ZhgbDGYcKq5z2V7VZIRWzRCp17gE\njPmVTfhppzBdOa9SCEL/t/woHlu4H+uOlSuOW078q/bD9fa/AsU1kwW24FY04OmluMrWD5IQQggh\nxJNgmW841fZ1Oefc4d2gbfrpJggB5VgAq5z2NwJoZIx1A3ABgEc7YLynveFpMfjqn2Ow+UQF/rfs\nKB7/ZT8+XH8CD03PxMVDU/xa0bI1OOdoNllQ1WhEdaMJVU1GVDcahedN9q+ldQbszKtGVlIkPr95\nFAb7MC0z2DHG8OSsAWhoMeOj9Tm4dUJvJEUrrym0WDkOFtfhGh/X1onumJSBaz7aioW7CrHmSBm0\naiFQ9cWkzDhEhmgQrtNgRFo3VDUKAZG8tYZY9CZMHjAmRWLT8UqHdYjOjpc14MZPtqGkrgXl9QY8\nckF/h30AcKpGCBiLa1qQGhPqMm03PlKPLTmVsvPq8c7q45h/xVAcLa1Hn4QIRIZokZkYiX2FNQ7n\nNhrs444Kdcww5lc2ufR3fHt1Nj5cl4Nvbx+LcX3sU2NrmkyIDtVBr1GhThYwVjUaMe21tTBZhKCv\n2lYQp75FCLaLZJlJudpmE8J0amjVKpit7j+bO1paL1UBFgPuvQU1bo8nhBBCCBEFS8Aovvs75mZ/\nNoSAMRO2gJExdgGEDOkRAH0BvGJ7/LnSBRhjdwC4AwB69uzpr3Gf9sb3icPCu2Kx5mgZXll2DPd/\ntwdP/noAoVrhTapWzaBRq6BRMWjVKmjUzL5dJfuqUUGrYtDYjhceqxyOFc5lUDGG+hazQwBY1WhC\nje25wc1UOsaAbmE6dAvTonu4Dg+c1w93TenTpl6IwYoxhlsn9sb3Owqw5mgZrhut/LucU96AZpPF\np/WLcqN7d8ewHtH4z5IjqGsxY86MLJ8rgOo1asy7dDD0GhVUKiYFhQ4Bo8lxDSMA9E+MhNFiRW5l\nk2IRoqMl9bj+461gDDhvQCLeXXscYzNiMbGfsC7PnmEUgqqimmakxIS6XCchUo/aZhMMZgv0GjXW\nHi3Hr3uKcdXINBwtqccYW2XUIanRWHWkzLG6q0kI3ML0GinDWFovBKhmK0dBVZNDdVkxk/nwD3uw\n/tGpUiBc02REtzAttGoVamQBY3FNsxQsAkBJnXDtaFtwWlFvr64q4pxj2HPL8bdhKXjruhGKU8f1\nGhUMZiuyS+txwaAkAPZAt7UOFtciKkR7xrXgIYQQQs50wRIwiu/BFRF5AAAgAElEQVRq3XXDFrfH\nOJ3zMoAeAKoALATwBOdcsfQg5/wjAB8BwMiRI31bEEQACEHKuVmJmJKZgD8PnMLWnEqYLRwmC4fZ\naoXJYhUeW6wwWzlMFitaTFaYLWbpGLOFw2gRvgrnCMebbMcrTVyODhUCv25hWqTGhGBwSpTwPFyH\n7mG2r+FaxIQJz6NCte1uj9EVZCZGIDUmFKsOuw8YpYI3PVoXMDLGcPukDNyzYDcy4sJx64TerTr/\nkuGp0mP7lFT3axgBeaXUesWA8Y2Vx2DlHAv/NR7J0aH42zsb8cD3e7DiwUlQqRhK64TgrFjKMDZj\nSv94l+uIrTUqGoxIjQlFRYMQhK04VGoraCNUkx2aFoMfdxaiqKZZ6p3ZJMuMigEj58KHFJwDOeWN\nDgGjwSR8qFFc24IGgxkxYULV4ZomE2LCtNCoVA5TUp2nypbaptcazMJ986pc10mKAebve4ttAaPj\nBykGs0X6cEV+L3HNpa4V63gNZgtmvbURAJA7f5bP5xFCCCGk6wuWgLHVOOc/APihs8dxJlGpGC4a\nmoKLhqb4/doWW+BotnJYLBzhenWnFaYJdowxTBuQgB93FKLFZFGsqLm/qBahWjX6xLe+bciFg5Jw\n3eg0XHl2GnSatv8MlDKMLUYLGBMyX6K+CRFgTMgkzhyS7HANk8WKjdkVuGhYshSQvXr1MPztnU1Y\nvP8UBiQLwWZydAhK6lpgMFtQVm9QzDCKAWNZXYstYBSCNLHNSf8k4fpDbVnZfYW1LgFjqFYNvUYt\nZe76xkcgu6wBJyscA7rKRnsAaJStuaxpNiE1JhQaFcNxWXVV54BRzDCKvRpzK1wDRnkgDtiDS1FZ\nnf2aTUaLVOhGvFe3cFv2ssGALzfn4u/jeiEhUjmb3NBiVtzuiyajGaV1BvSO81+fTUIIIYR0nGB5\nRy5mEN2lQ8TttOjmNKVWMYRo1YjQaxAdpqVg0YtzsxLQbLI4rMmTO1BUi4GtKHgjp1Gr8PLlQz1W\nbvVFmFb4PKrZqUpqqFbtsL4wRKtGr+5hyC5zLXyzM68a9QYzpvRPkLYNSY1G77hwLDtYgmOlQtA1\nqV88qhqNyKsUplsqT0kVgiExYBIDRnGdoJhhzEqOhFbNsFe2jtF57aVYKbVXbDjCdWoU1zquMaxu\nNDmcK66zFKekRodqUdFgkCqVljc4ZRidAkbxdck1mRyDOHmGccuJSpzz3zX2MZgsmPnWBgx7frn0\n81DbfgbP/H4Qb68+juUHS13uId3L6Drd1WrlOFCkPCmkqtGISttruu3LHZj6v7Vur00IIYSQ4BYs\n78qP2r5mutnfz/bV3RpHQs4oYzNiEapVY/XhMpd9YsGb1q5f9DelKqliwOhsYEoUduRWu7R/WHNU\nKLwj7yPIGMP5gxKx5YTQxzJUq8bIdCG43ZlXDQBI9ZBhFIOzigaDlEGN1GuQYisgpNeoMSA5Cvtl\nrTXsU1KFIDjKNi01JkyLxKgQh2weIFRDDdEK135r1XGc99o6HC2pl6akThuQgJomE16ytcBwyTDa\nprKKQW1lo9FljaJzECfPMD62cJ/DvmajRcqCitdhjKG4phlVtqm5wtRyK2qbXGf1NxpdM4yfbMzB\nRW9vxM68Kpd9Z72wAmfPWwkA2HxC+FDD6qEoDyGEEEKCV7AEjOJH4eczxhzGxBiLBDABQBOArR09\nMEKCUYhWjYn94rDaVpxF7mRFA5qMlk6vDKtY9Mao3JT+4qEpKKs3YL1T+4h1R8sxsld3ROgdZ8+f\nPzAJZivH73uK0TchQgoQPQWMsRE6MGafqlnZYMTkzHgwJlRqlWc9h6RGY39hrRTkNBnNYAxSEBhp\nK0YTEyoEjOIUUkAoRlPdaJSKBYktMlYeLkWzyYKYMB3OH5SEy0ekYuHOQlit3HUNY10LBj+zDEdk\n/SlLaltwqLgO327Pt30v7d/X5xYdxKcbT0rPm2QBnoo5ZXlt5xXVNGP8/NVSltpkseI/S45g2PPL\npQynSKwSK3fklDC2E2W+9aH0VMWVEEIIIcErKAJGzvkJAMsBpAOY7bT7OQDhAL6ytdAghACYlpWA\noppmHHXqYSgWvBmcGtUZw5KImUSHNYwmi0MPRtG0AYmIDdfh+78KpG3FNc04UlKPqVmuBWxGpMUg\nIVIPo8WKfokRSHYKGJXajWjVKnQP06G8wQDOOSobjOgTH4EZg5MwfWCiw7HDesSg3mDGSVuw12S0\nIEw2lVaeYUyKDkFJrT3Aqmsxw2zlUsAojm3tUSEbLFY+Hd27O+oNZhRUNzkEjMnRIaiTrRnsbysK\ndKq2BTPf2oC5P++X2suIPt+Ui593FUnP5d/zuAi9YuEhZyYLx/ZcIVu44pDj9NQmhQxjmF74Ob65\nKlvxes4+33QSSw+UKFZzJYQQQkjwCljRG8bYpQAutT1Nsn0dxxj7wva4gnP+iOyUuwFsBvAWY2wa\ngMMAxkDo0XgMwBOBGishXdHULGFd36rDZchKsgeHB4rqEKJVoW8bCt74k0rFEKJVKa5hdKbTqHD5\nWan4fFMuKhoMiIvQS83q5esX5deePjAR32zLR7+ESCTbAsSTFY2Ii9ArZjEBYVpqeb0Bdc1mGC1W\nxEXoFPtMitVl9+TXoE98BJqMFoTq7H9dipVSo8N0SIyyoKy+BVYrh0rFUN0oTPFMsgWM4pTcv3KF\nYLabrWLqoBThHgeK6lBumx5rNFvRNyECp2QBaN+ECBwtrcejC/dK2+oNZsV1hSKrLOscG6F3+Rko\nMZqt0tiMTq1r5BlG8XVqVMLnjUU1zQ4tSNx5eckRAMANY3rixcuGeDyWEEIIIcEjkBnG4QD+Yfvv\nAtu2DNm2K+UH27KMIwF8ASFQfBhAHwBvAhjLOVeu7kHIGSoxKgRDUqOx5ojjOsb9RbUYkBwVFIWD\nwnQah+xUs1E5YASAa0alwWzl+GVXEaxWjiUHSpAaE4p+Cq02AGCWraLq4NQohGjV6BYmZO5SY9z3\njYyP1KOs3iCtY4yL0Csel5kYiZgwrbT+rtlolqbYAkBUiH1KalKUHiYLR1WTEChW2gLGxCjh2g0G\nx+xcjG2cmUkR0KgYDhTXoqyuBWN6d4dGxaR+kM4KquyFdaoajA5rQz2Ji9A5ZBhb3ASaRotVCjRN\nFseAUf4zFKeW1suyoO56oyrJLm3AV1vzUNtswtacSqTPWSz10iSEEEJI8AnYO0rO+bOcc+bhv3SF\ncwo457dwzpM55zrOeS/O+QOc8+pAjZOQruzcrATsyq9GlS1IsVo5DgVBwRtRqFbtkAlrMlkQojAl\nFQD6JkTirJ4x+GZbHq79aCvWHyvH5Welus1cje8bhz/unYiJtoI4ydHC1E+lCqmi+Eg9yutapGIy\n7gJGtYphQp84bDxeDs65MCVVNu5IpympAKRpqdVSwChsd17/J05J1WvU6JcYiZWHStFotOD8gYk4\n8NwFGNcnzuH4K85OhbOqJqPHDKNcnFOGscXsZkqq2R4wOq83bJTdy2y1Yu7P+7H0wCn7NW3XL6hq\nwoT5q6XtzmszASC7rB5P/XoAl767Cb/vLQYAbDtZhT0FNUifsxjHFarlurNwZyEe/H6Pz8cTQggh\npPU6PwVBCGmzaQMSYOXAumNClvFkZSMaDOZOL3gjCtOpXbJbYW4yjICQZcytbMLhkjq8cuVQPDTd\nXeFkweDUaCmgTLFlFj0FjD27h+FUXQvybW0q4iJ1bo+d2C8OpXUGHC9rEKbSOgSMYoZRhwRbYCgW\nihEzjVLAaDQ7FO0RM4wAMDwtGtm2lhtZyUKmNC7CPqa1j0zBuVmO6ysBW4bRx7WAzj8Dd4HmJxtP\nYtNxIaNqNFsxe8EuPPDdbgDAU78ekI57c2U2vt2e7xBEii09vtqah6IaeyZ0xpvrXe5T0yxUYT1Z\n0YgF24QCPgaTBV9tyQMArD1ajk83nnSZFmu2WF3WUj784178srsIhBBCCAkcChgJ6cIGp0QjLkKP\nVbb2GmJfvGDJMIbpHDOMzoGXs8tG9MDzlwzCigcn46qRaV7XxcmJmT5PAeOwtBhwDqy1BdjuMowA\npMzlhuwKNBqcp6TKMoxSwChk08RsrzieRoMZOo0Kf9w7EZeNSJWOB4Cze9mnn/ZPEorbxMrGFGsL\nHtc+MgXD02Kk7VVNRocg0Jm8cG6oVu0QXMqnkrpTWteCxftO4dc9xS5VeD9cn+Ny/K1f/IVGg1mq\nCCuqsLXscDc20bzFh7FwVyEA4Pe9xXjhj0PIemoJvtmWJ30/71mwGwOfXuZ17IQQQgjxLwoYCenC\nVCqGc7Pise5YOUwWK/YX1kKvUbld99fRQp2yW80mi9uCNIBQ/OamcemKVU69EaekelrDOKyHEHSt\nO1oOFbMXoFGS1j0MvePCsflEpW1Kqj1LOHNIMh69sD96dAtFfKQejAEldS0wW6zYlVcNvUYlTT1t\nNFigU6swODUar18z3GFt6che3WxjDpXWRYbr1NBrVNBrVFJmMj0uXKqWCgjTXj1NSZWvKXQO2utb\nXPssOjtYXCc9FrOHSq1KRIdO1WHxvlPIs2Vu20P8kMDKgSd+OYCzXliBFpMFSw+WOBxXUNX+ewFC\nQL+noMYv1yKEEEJORxQwEtLFnZuViPoWM3bkVgdVwRvAVvTGZM9otXgoetNePbqJAWOY22O6h+vQ\nKzYMjUYLuofroFZ5zmD2iY9AYXUTmk2OaxgTokJw95S+YIxBq1YhLkKP0toWvLriGJYfKsXt52RA\nZ/sZNBrN0GqU79MrNgxxEXoMSLZXuWWMIS5Cj7gIvUOG9eHzM3HxsBQAQhZTHgSOTlculAPAZc3o\nsdIGj68ZEKaLioprhSmmsRGuwbVeY/89M1isfgniQjSuv7tillHUaDDjnP+ucTmuLe79djcufXcT\n6hQC6b9yq2C2KBf0MZqtLtlXQggh5HQUHO8qCSFtNrFfHHRqFVYdLsXB4rpO778oF6o4JTUwf+1c\nMCgJr18zzOvrF6d2epqOKkqIEtpwOBe9cZYUFYKSuhbsK6zB8LQYPHJBf2htgQ/nkIJHZ4wxfPKP\nkXjqogEO2+MidC4BWkJUCN6+bgSSokJQ1ehYJfWZvw10O7a2BOhiZddwnRrTXl0HQAi2nYnFfwAh\ngGr0sRCPJ9tOVrlscw4Y5W1HAKHYkye1zSbM++OQVJxHDPQOn6rDaluVYYPJMTDclV+Nqz7Yothn\n0mi2IvPJJXh9xTEvr4YQQgjp+ihgJKSLi9BrMCajO37YUYAGgzlo1i8CQJjWPiXVZLHCbOUByzCG\naNW4bEQPr+seWxMwxkfoUdloRH2LCaFa921rE6NCUFrXgpLaFqn4jlZtH4fWQ8Z3eFoMesWGO2y7\nfVIGbj8nQ/H4lJgQZNsK8SRFhSDnpZlST0cl7fl+m2SBmFLAKJ9eXNvsfaprW1U3OQaMYoEh0btr\njjtk+wqqmjBy3gqpuNG7a47jk40nsXBXIfIrm9B77p/4Y18xZry5QTqHwzHoFKveHi9zzciesmVd\nf9pZ2I5XRQghhHQNFDASchqYlpWAOlsxk2CpkAo4rp8TC694WsPYEewBo/v1i6IEWy/FFpPVY4Yx\nMUqPkroWlNYZpOqo8qyiXmGapScXDU2Rpp86m5yZgL2FNSioakaYTg2Vm2m1SVEh2PjYVOgU7u0u\n4+lMXqlUab2nPBgtrPbPmkIl1U32YPTHHQUwOLUGeXXFMeyWrUP8cUcBKhqM+Hm3ENBZbIHvgm35\neOo3oeLrr07VVTkH5v68H9d8uMXhHKXvr7hPrfa9KFN7GcwWqWULIYQQ0pEoYCTkNCC2XtBpVMiU\nFUfpbKE6jZRhFBvGe6qS2hEGpkQhTKf2WE1VFC/LQnoad1JUCGqaTGgwmKWAUZ5VVAra2urcrARw\nDmzJqXSYEvrohf0xurdj1dUe3cIUs5sHn78A398xtlX3VVrDKP+e1DY5ZhgTo7xncH1137e7pcf/\n/mkfjGbXKai1zSbcs2AXPt14EgbbusO9tiBSDNgPFtdh3bFyAIDR4niNb7bl49vt+dh2sgoGs0Wq\nJrt43ykpe/nt9nwcLK51yEWaLFaYnNY5mixW/G/ZUZ8KDPnqti93YMQLK/x2PUIIIcRXFDASchro\nGRuGzMQIDEqJ8jj9saOF6dQwWqwwW6xShjFQU1J9pdeo8evsCbhzch+vx8ZH2oOecE8ZRllVV7Ft\nhjxI9OfPpF+ivQKuvAXH3VP64rvb7UGgeH+le2vVKmQle17r2U3WL/LyEanIiHOtvJsse93OU1ID\n+XtotroWomk0mPHHvlN44Y9DMNkCyjVHy91ew+TU53HpgVPS4yvf34LHf9kvPRez5HN/3o9Zb22U\nAkgGhlEvrsTQZ5c7XOuPfcV4Z81xvLLsaCtfmXsbsiv8di1CCCGkNYLnnSUhpF3ev/FsvHrVsM4e\nhgNxGmeTyRI0ASMAZCZGSm0vPEmQ9UyUt9VwJu+tKGYYNbKpjP7MMIZo1Yi0tdtwXleoUjHpvuI9\n3U2H9VYhtqdsXeXZ6d0c1mSKNCoVDj9/IaJDtS4Bo3j/QPy8cysaXbY1yPpLGi2OU1YNZtcAc0tO\npcNz+fTb/bZ+pqIap9d23mvr7fuaTGg2WdBisqCiQejFKbYiMSrct70sVo5Fe4u9FvohhBBC/IUC\nRkJOE33iI5ARHxz9F0XilMVmo0Wamurc5iGYydc5epySGi0PGIWsH2NMWivo65pBn8dly3wqTROV\nAkW1+wwjAKi9FAeKkwWjEXqN2wAzVKdWDhht9/W09tMXMWGugf3/lrtWJzXLAqivt+ZLj1ccKsWW\nE5UuxzvL9dBDssVkUQzQ5C03rvt4K0bOWwkAsIoZSIVvmXwd4smKRlzyzsZWFQxasC0P9367Gz/s\nKPD5HEIIIaQ9KGAkhASMlGE02jOMYUGQYfSVXqOWAhbPRW9kU1JlwaOYldP6McMI2AsHxSpULhUD\nRvuUVOVAT+VlSN1k144M0UCjcIJYWVSjYi59DPUepsS2RojGt98XsWWGs9v/bwcOnapr1xhu+nQ7\nGmVtTETFsvYeu/PtRXfEgq2MMTQZzThSItz/tz1FGPHCCuyxra18e1U29hbWYuWhUsX7vrUqG3N/\n3uewrdIWcMpbi2zNqZSqurbF5hMVDlNyCSGEEDkKGAkhASO2omgymqU39J1d9Ka1xMI3nsYdFaJB\niFaFyBCNw9RVrVO2z1/EZF9suGthGTFAkwJGp2BVzBQqZRhz58+SHnd3yDBqFTOMYmBU3mCQpmGK\nxPt7mfnqlbeps6JGQ/t7QLpTVNOM+7/b4/PxG23rDS0Wjtnf7MKFb2yAwWzBpuPC9k83nsQPOwqk\nFjBWrjy99LUVx/Dt9gKHgkLiz1deaOfaj7Zi/PxVWHu0DH/luvaxVPLr7iL8uV8IEq//eBv+9fUu\nn18fIYSQMwsFjISQgJFPSRULhwTDGsbWEFtreFrDyBhDUlSIw1pGwD4t059rGAFAZQs0uitNSXWa\nBus8HVYMFL0FYvKAMUSrgsZDC4n6Ftfsm/ia27vSzl2G1NnrK12nqfrT6iNlPh+79GAJACC/qkla\nK5ld2oAfdghtPhbtLcajP+2TgmkxYFxxqBTpcxa7tM8Y9ry9qI74s7c4TZG1cuDmz//CVR9s8WmM\nD3y/B3d/Q0EiIYQQ7yhgJIQEjMOUVGNw9GFsLTHD6KlKKgAM6RHj0gNT62UdYVuJgYZY/EZO7zQl\n1TlYFWeWMlmG8clZA/DmtcMdjusu67uoUal8zvSJxEDVXfZM9OWtoz3ub+19g0m/xAiIcd11H291\n2f/jTiGAFI/5eH0OAOBoab3UD9LlHHHtIgMW7ixUPO7fP+51CSjdKa83SI/HvbwKX23JdXvsW6uy\nsTOv2qfrEkIIOX1QwEgICRgxm9hktHTdKamR3qekAsBb1w7Ha1c7Vql1F7S113kDhL6biU4ZTQBS\nJtBdWw2lqajD0mJwyfBUh23yNYwaNXOo+upMaZd4/6gQz9Vo+8SHK67FlO7tbbFlkGkw2LOtPbuH\nSZVSDSb3FVOtnGNPQQ1azMKfkZWHSrHtpPLU0hxbhdgP1+Xg4R/3Kh73485C5JQ3+DTeUS+ulB6f\nqm3BU78dRElti0uWExCmyF7x/mafrksIIeT00bX+JSaEdClihrHZZA6qthqtkRITChUDIr0EPowx\nh6wdYJ9O6e+AcfbUvtg851ykdQ9ze4y7ojcqhehOKYsnbzuiUTGPaxidX7dwf+HnPL5PrMt9bhzb\nU9oWolUrjsnT2ILZ4GeWSY/lhXiMFvcBY25FIy59dxP2FQrtPMpkWb+2cpdfNFusaFIo4CM39uVV\nGPHCCgBARYMB9S2+V3ElhBBy+qGAkRASMOK6P2FKqvCGuatNSb16ZBoW3D7Wp76NzgI2JVXFkBIT\nqriv2lYgRczauaxhVAjAlLKHkSEa2X6Vx0wfV5h2Kl5TpWJS8Cpuu29aP+k4vUblMXvp6xrGYKTU\n/kNJpVM2T1zv2x7uZgLf991uDHx6mfJOBSPnrcSUV9a6uQfHhuxy6edvtXK8szobVQrZSUIIIV0X\nBYyEkIBx6MNoskCnaf1auM4WrtdgbEas9wMViIGi3s8ZRk/ENWliT05fpqQq/Uzk52nUTLHojdhz\n0tNyOTVj0j172jKi8jGEaNWefye89Is8Hfy8q8jh+crDym02WuOLzbl4fYUQsLaYLDDYprv+ub+k\n1ddyDmgBwGi2ovfcP/H3T7fj+78KcKq2GV9szsX/lh/DWS+scFgbefUHW5A+ZzEGPb0UNU0UTBJC\nSFfjvuwfIYS0k7zoTYvJ0uWmo7aXtIbRzxlGX2TEhQNwbauhNP1Tnj3sEx+OE+WNDpk9jZohNdwx\no/na1cMwc0iy2/uLZ6tVDPec2xevLDuKr/45BttOViI2wt4ORKNiUuVP4j/fbs8HIGSK5y0+DAD4\n5rYxrbrGq8uPSo+d+1zuK7T3nSyobsK4l1c77B/14krkzp+FRoMZ222tPhqNFuzKr8a5WYlu77kz\nrxoHimrxj/HprRorIYSQwKGAkRASMFq1Clo1k6qknnEBo1p5HWFH6O5mSqpSMk+e4fvtnoloaDHD\nIpvTqFGpEKJVY8FtY3D9J9sAAJef1cPzAGyXVKkYZk/ti9lT+wKAVFznv1cMxTfb88EYA2938w3i\njhgsAsANtp+dr95efVx6nPXUUod9vsb4Yu9J6Tx4PlEsqkMBIyGEBA+akkoICahQrRrNRqHoTVer\nkNpe9qI3Hfe675/WD9MHJkqFaJyDVaUpqfI1hBF6DZKiQ6BVOWYYAWB83ziP91bKYCndDwCuHpWG\n32ZPAABY3deDcWvepYOxde40h21PzhrQ+guRNrL/XN9dc0LxiONlDS4FkWqbA1dAZ/2xcvy5/1TA\nrk8IIWcqChgJIQEVptMIGcYzcEqquA7Q31VSPXlweiY+vmmk9Nz5DfvVo9JczlEshCNfw+jjulNx\nTaOcpwqoIqWiOYAQ7CqdrdOocOPYXoiLcGzHQVNbO8ZtX+7wqb3Gea+tc9n2yrKjCke6WuVmHef2\nk1VS1dY/9hXjaEm9tO+mz7bj7m92+XR9QgghvqOAkRASUGE6NZpMtjWMZ1qG0U1ri85ydN6FuF9W\noVSkHDDKMow+9kJUOs5dhlHO3YTUZ/82yOMJXa2A0umiNUV52voT+ueXO3CgqNZhW22TCVd/uAWz\nF+wGANyzYDcueGN9G+9ACCHEVxQwEkICKlSnFqqknsFrGDuySqoneo1asWeiUgZRq2p9hlEeZIq5\nQV9OtbrJMF4/uqfiWrnLRgjrIJVeCwkuYvEdkfxH1mAQ+kHuzq/Gwp2FLue+tSobB4pq8fyiQ+Cc\no8VW6XXz8QrM/Xm/23tWNLj2sXx+0SFsdlpP6S+cc7dZckIIOR0Ex7sYQshpK0ynRpNtDWNX68HY\nXrpOmJLaFt4yjL5MKwWUq8GqfciuyttyvHntcOkxY65TUm8en44XLxvs03jai+LR9lt1pMzheX2L\nGY/+tBfDn1+Owc8sw6M/7cVl723Gwz/uRWF1k8v5F729EZ9tOol6W3AJAGYrdwlE5UbOW4k/9hWj\npLYF6XMW49fdRfhs00mpYJM7hdVNOFZa7/EYZy0mC3rP/RNvrMxu1XmEENKVBPe7GEJIlxeq00h9\nGM+8Kali4Zng/qtWaSqpp6xihF65wLZGKWD0ZUqqLTvTLyEClwxPRc5LM3HipZmKx8aEaRXvA9gD\nvKSoEAxLi/F6X298GTtpndpmE37YUYiaJmEd4g877JnFh3/Y6/a85xcdwqHiOsV9J8obUO3UK/Ke\nBbuxwBZUPvD9HrfXvemz7fh6ax4AYOJ/1uD819ejURacelPfIhz7zbY8n88hhJCuJrjfxRBCurww\nrVrWVuPM+itHKnoT5AGjUhbQ3XTPrXOnYeNjUxX3ybOSoTrfp+MO7SEEdz/dNR6AkNEUs579EiId\n7+FDtvPCwUlSBdb2oDWSHWvbySqH53Ut9oqqP+0sxC1f/KV43rRX12HECytctn+nkIWcMH817llg\nL4yz/lg5nvz1gMMxg55ZhlO1za0aO81IJYSczoL7XQwhpMsTpqSemVVSpT6MQT4l1dc1igCQFB2C\nmDCd4j75usf7zu2Hu6f0wXVjenq95tvXjcCvsycgOlTrsu+5SwYhRPZBg6/TY1tjQHKU4nYKGDvX\nifLGdp1fVu+6lrGophl/7DuFH/4qQPqcxdJ256moJyvs996ZV4X/LD2ieA9vSej6FhNGzluJ7U7B\nMCGEdCXB/S6GENLlherUaDYJGcaQM21KalfJMPopMJJXg40I0eDRC7Og96EHZbheg+FuppCGaNWY\nnBkvPXeeJpoRH+71+j26hQIAltx/juL+D288W3G785jcjZEERrlCwOcvjy7c5/D8/NeVq63mVjTi\nive34P21J1DVaET6nMVY47QuU+5oST2OlzVIz/cX1aKiwVhTBlAAACAASURBVIBXl/vWToQQQoJR\ncL+LIYR0eWE6NRoMZhjM1jMuw6gNkiqpn988Ct/fMdbtfn+t1ZMHnv7siSi/lnNwu/rhKV7PX/PI\nFBybN8NtJtFd15B/X9Df4fklw1O83oucHtYdLQcAXC7rN/mYLciUT43dfKISgH367AVvrHfoPymW\nbfI0YzV9zmJkzF2MWz7f7pexE0KIvylXLiCEED8J1WlgNFuFx2dYwKiT+jB2bsA4NSvB4/72TvPs\nEx+OE+WNDuse/RkkywPG1kyfFXn7/rsLbjv750Y6z4frc7DsYAmqZMV0yupaXI6771uhJ6TJwpFX\n6TqFVvrVkkWMsxfsQo+YUMydOUDaZuXAGluQ6qzFZEFloxGpMaFteCWEENJ+9K8hISSgwmTTUM+4\nKqm2KZrB3lajvX7813j8fPd4h23+7JEov9S1o72viWwtdwGjc9ArP0o+TZacnnIrHdt87C2slR7v\nzKvGweJah/1vrz7ucg17vGiPGBfvO4UP1+cAAAqqHO+xO7/a5Rp3f7MLE+avbtXYCSHEn07vdzGE\nkE7nEDCeYRnG7uE6aNUMESGn92SO7uE6nNWzW8CuP2NwsvRYqZdnbLgO90ztKz1vbRN1d0lL5wyj\nPAhOiNS36h7k9HLF+5tx7UdbHbb9tLPQ5Tjxd0bpV/LdNcdxzn/XOGy77L3NKKtvQW2zCQ99vwcN\nBjNW29ZMyn+vqxqNrfo935VfjdkLdsFqpXKuhJDWO73fxRBCOp08SDzTMowXD0vB0B4xiApxrf5J\nfDdraDJmL3C/f+dT0wEAX2w66bD9j3snYkeu9+qU7rKhztVt5YdRi0Yi9mB0p7bJhOcWHQQA7Mir\nxldbcvH3cenS/leWKRfCGf3iKozp3R3bTlYhUvZhE+fC711BVRPO+e8azJmRhS0nKrHuWDly589y\nuMax0nrc+dVO/HzXeHQL1+Hmz7ajrsWMm8enY1R6dwCAwWzxqSgVIYRQhpEQElBhOvsbnjMtw6hV\nq9A3IaKzh9GhQrVqjMuI7exhAAAGp0bj5gm9vR7nrkqs1mk7c3js34jxP1cM8ev1SOd69Ke9uOnz\n7ThYXCdte+q3gw6tPDwRe1J+uSVP2mblHJxz5Numsc5fcgTrjgnrHp37Rr6z+jhOVjTixk+3AQDq\nbMHtVR9sAQD8sa8Y/Z9c6tJOxJ/+yq1yaE9CCOm6unTAyBhLZox9yRgrZ4y1MMYOMcYmd/a4CCF2\nZ/KU1DPR4RcuxILbx/j9uv+a3AdPzhrg/UAvVjw4yaVaqq9TUgMpnqa4nlZ+2FGIg0W13g9shc0n\nKvGvr3fihk+2uewb97KwxrGgqgn5lU1Yny0EkgeL63C0xDEozK1oxIpDpQCAP/efkrZbrNxhDeVD\nP+zBsoMlPo2tsLoJDQYzFu0txlUfbMb6Y+W46oMtmPq/ta16jYSQ4NRlp6QyxmIAbAKwEcAsAOUA\nMgC4b5BECOlw8mmoZ1ofxjOVPwveiObMyPLLdfolRuKqs3vg+T8OSdvcjTcmTIt/Te6DHblV2JFX\nDTCG60b3hNli9fuUVKvVv9cjnc/s5/WCN33mue1GUU2zy5pIQGj1ITdFFsS9sTIbD5yXCQB4e3U2\n3liZjfhIPb7+5xj8vKsIP+8qkqa7tpgsimuIAWDif9YgKykSR2zBqbexdoSdeVUwmK0Y3yeus4dC\nSJfXlTOMjwI4xTm/iXO+nXN+knO+inN+uLMHRgixowwjCTZhTh9cuMswMsYwZ0YW+iVGCs8BvHz5\nELxy1TApYHzxssGIDhXWqK59ZEqbx2RtZaEeQpy1p5LqgaJafLE5FwBQXm+Qek7K92c9tdRjxvFI\nSeCmt7bFFe9vwfUfu2ZjCSGtF7CAkTF2JWPsbcbYBsZYHWOMM8a+9nJOD8bYZ4yxYsaYgTGWyxh7\ngzGmVH7vUgDbGGPfM8bKGGN7GGP3sEB8tE0IaTMKGLuuN68djjevHd7Zw2g1b6HXlWf3kB4vfeAc\nxbYacRE6lys6HmZ/IlardNeewxcateO5OuoBSTrQRW9vRE2TSXou/zNkNFulNZU/7SyExSqspXxx\n8SGcKG9o973T5yzGPz7bjiaj5yJChJDOE8h/kZ4EcA+A4QCKvB3MGOsDYCeAWwBsB/A6gBwA9wPY\nwhhzrqKQAeBu2zEXAHgTwHwAs/00fkKIH4TKi97QlNQu5ZLhqbhkeGpnD8PvNLJgLCspSrFP5qJ7\nJ0qPxeSfUqEbzu1vrr3Fi5vnnIvBqVG4foy9l+Q/J/bGvy/oj7FOhYI2PjYVC+8a71L9khB/y6t0\nLUyzt6BGetxkNOPrrULxnRWHSvHYwn14c1U2Pt5wEtNeXYftJz1XIt5fWIvd+dVIn7MYzy066BAY\nmizCXOx1x8ox8OllSJ+zGCcrGmEwW6RjCqqasPZo21cbmSxWzP15P4prmr0frKDJaHb4fhByJgrk\nGsYHARQCOA5gMgDXifWO3gOQAOA+zvnb4kbG2Gu2a70I4F+y41UAdnDO59qe72aM9YMQML7jl1dA\nCGm3MFlW0d36F0L8wVPPO2fr/j1FquCrVNwmOTpU4fquj7n0P0Dlbm6rTUpMKP649xwAwIJt+QCA\nuAg97prSBy0mi8Oxeo0aZ/cKXG9LQkS5lU0e93MOh2qnzv0mr/5wi8fzL35no/T48025+HxTLh6a\nnontJ6uw8XiFy/FioZzjL86AhXNMe20djGarw4cnF76xHrdO6I2rR6Vh3bFy3PL5dux++nxpevjs\nBbukY5ceKMG32/Ox/lg5Pr5pJAamOBa9ctZoMKO22YSUGOHvgBs+2Ybd+TXY8/R0xIQJMw8e+n4P\nkqJD8OiF/llbTUiwC1jAyDmXAkRvs0Rt2cXzAeQCeNdp9zMA7gDwd8bYw5xz8W+tUwAOOR17GEJG\nkhASJEJpSmrQenxmFgqq2vapezBqzYzQXrHhitu/vHU0TjpNs7NnGGX3ku+3ffUSLyrSqt0toGz9\ntQhpi7pmk8f9gVhd+9qKY16P6fvEEofndS0mROo16PfEEpitHI8u3IerR6Xhoe/3wMqBRXuL0Tsu\nHMU1zVi8z1799d5vdwMQigLNfGsD1jwyBauPlOGfE5Vb7lzz0RYcKKqTAtTd+TXS+WLA+PNuYeIc\nBYzkTBEsVVKn2r4u55w71IrjnNczxjZBCCjHAlhl27UJQH+n62QCyAMhJGjoNSqomPDBkds3x6RT\n3DGpT2cPIehMzozH5Mx4h21cYQ2j9JhzqWBNW9YwzhySrLidVuOTjiIGVO5sy6nsoJF4NvTZ5ciI\nC3eoPjvi+eWotq29fGNlNioaDF6vc9UHm1HRYMR1o9OkWQZFNc1IjgqBSsVwoKhO8byN2RUYlBLt\nMF1WVN9igk6jgl5DH4qS01OwrKoXAz93Hzll275myra9DmAsY+wJxlhfxthVAO6Da4YSAMAYu4Mx\ntoMxtqO8vNwvgyaEeMcYQ5hOgzCtOiDtFgjxl0lOgaJIaQ2j+JgD7QoYE6NChOs5nUp/UkiwuOub\nXd4P6iA5FY7rLatlhXoaDb4VzaloMAIABj69DPUtJuRVNmLC/NXIePxP3PrFX27Pe3nJEWTMXYxN\nCtNohzy7HFe+rzw1t6yuRTHIJKQrCZaAMdr21V2XW3F7jLiBc/4XhEqpVwM4AGGN41MQ1kK64Jx/\nxDkfyTkfGR+v/KaAEBIYoTo19WAkQe3kyzPxf7eOVtwn5TPcRHFiQNmWKanuTvHHhysJkfp2X4OQ\nrqLZ1PqgbNXhMkx+Za30fPURz8V1rFxYEymSrz3eX1SLH3cUOBzPOcfol1bhge/2SNs2Ha/A8bLg\nakFCiDfBEjC2Ced8Med8GOc8hHOeyTl/i3NqZkVIsAnTqWn9Igm4Mb2FSqMXDk5q9bmtDdCkojdc\nvoax9UGeeIpzBVZ/ZBiTY1wL9/S39ZQkhAAPfL/H7b66FhN6z13ssv2HHfaiP1lPLXVoLfLumuMA\nhMqsryw7gp93CWsdlxwoQYMtA3rDJ9tw3mvr/TJ+QjpKsKxhFDOI0W72i9uprjEhXVCoVu1T5UpC\n2qN/UmRA2lB4KnrDZRGju4BxTO/ueOnyIQ7bkqNDcKq2xW2gKt98blaC18yHkreuHe6QPQGAyf3j\ncbSUshuEeDP02eU+HTft1XXSY7Hi7KK9xXh3zQmH4wY/swyZiREO28wWK2qaTYiLoNkAJLgFS4bx\nqO1rppv9/WxfvZfVIoQEnTCakkq6sGtHpwEAxvVxbgcsxIpSURzZv6hRIfbPY8/q1Q194h3fKP58\n93h8cONZ0nPXNYz2DR/ceDb2PnN+q8etVAl2Ur/WLcn45e7xiNTbX8vEvnGtHgchZ5K8ykY89MNe\nxX3HSu3ZyNK6Ftz33W6MnLcS6XMWY9DTS/HcooOtupfBbMHao2Uwmq3eDyakHYIlwyi24DifMaaS\nV0pljEUCmACgCcDWzhgcIaR9xmTEwmKlFCPpmkald3fJXMp7PnKFDOOSByZhwvzVAID7p/WDs+To\nUMVej/br2x/rNCroNP75fFfTykrFcRF6LH3Q/lriInR+GQchpyvnrL47Y15a5fC80WjB55tyUdVo\nxJDUaFx+Vg90D1f+83b4VB2qGo2Yv+QI9hfV4saxPTHv0iGKxxLiD0GRYeScnwCwHEA6gNlOu58D\nEA7gK1kPRkJIF/LYhVl4fOaAzh4GIX5z3oBEAMDo3t0V+zAm26qfAkCID+t3ncO4QEzhfnh6Jsb0\n7o6ZQ3xf48kYkKqwFpIQEhi/7SnGvMWHcdYLK6RtB4pqkT5nMZ78dT8AYMabG3DDJ9uwv0hY0SX2\nilxzpAyldS0+38tssYJKfxBfBCzDyBi7FEIVUwAQ/3Uaxxj7wva4gnP+iOyUuwFsBvAWY2wagMMA\nxkDo0XgMwBOBGishhBDSGhP7xUlZR96Othqijmg5c69CplPJ4NQolNcbUFpncBkXvbUkpON8sO4E\nCqqa8M22fADA11vz8fXWfJfjSmqFIPGWL/5CSnQInpg1ECkxIRjRsxu+2ZaHJ345gGPzZuCrrXlY\nc6QMX982BmaLFX2fWII7JmXQB7rEq0BmGIcD+Iftvwts2zJk266UH2zLMo4E8AWEQPFhAH0AvAlg\nLOc8ODrHEkIIITJiECWPrdob//FWhGZjM7rjz/vOwdT+9vWJX7ppEQK4VmQdnhbj8FyjUrWrVchn\nN4/Eqocnt/5EQoiD+UuOSMGiJ5WNRqw9KhTGKq5twewFu3DZe5sBAE/8cgAAUNtswgt/HMJGWx9J\nk0X4Q/7R+hzUtwj9LH/fW4x8W+EeQuQCFjByzp/lnDMP/6UrnFPAOb+Fc57MOddxzntxzh/gnFcH\napyEEEJIeyitYWwt5zN1atd/nnNemumy7fDzF+Krf47BwJQofH6LPUicnOl7cZsvbhnl8HxyZrzb\nViG+zF6b2j/BpcgPISSwbv78L5dtb6y014oc9eJKt+fe9+1uvL0qG/d9uxuz3trgsv/DdSdwvKxB\n4UxypgiKNYyEEEJIVycPrtozxTR3/ixoFAJGlUK6L1Snhlbh2NaQn5/WPdShSI/L2kofrtcR02sJ\nId69sTJbcfvCnYUwW+2VVdccLcerK4Tgst5gxpBnl+HcV9fiUHEdjGYrXl5yBJe9t6lDxkyCEwWM\nhBBCiB+0ZfqmyF8x1lVn92jXvRMiQ6BSMbeZRCqQQUjX9/CPezHEQ5/J+hYzcsobMfOtDaizTVet\nbzHj66152FdYI01hJWcOChgJIYSQdhCDtGDIrL1y1TCXFiDOtE6tNeRrGnt2D7M94uJOBxyObUKG\n9Yj2eWwT+rr2sVQyODXK52sSQgLr512F0uMnfz2Av72zCUOeXY7aJseg0WSxorLB4NM1TRYrvth0\nEmYL9Y/sKihgJIQQQtph/hVDcfA5obbb+zechTeuGd7qa3RksBmmdyyQLr/1i5cNdtznFDFOyYzH\ng9MzpedpUoDp3dAeMV6Peebigfjs5lFejyOEdIyX/jyiuH3Y88sdAr4HvtuDs+etxCcbcpA+ZzGM\nZvfB4OebTuLZRYfw9dY8cM7xwHe70WKy+H3sxH8oYCSEEELaQa1iCLcFYTOGJOPSEamdPCK7vw1L\n8flYvUaFMJ3wOtzNPL1qZJrD84xWFLcZkOw9c3jNqDQkRIZ4PY4Q0vn6PrEEVqvwl8Xi/acAAPMW\nHwYAlNULrT7yKhulx6ITZUJb9dzKJjz+y378uqcYWU8t7ahhkzaggJEQQgjpghbdM9HrMW9dN6JN\n11ZqFaLk1gnpDs9jwrRuj/VljadzRpMQEtwyHv8T6XMWu2yf+J81OFZaj8mvrMXoF1cBAKxWjh93\nFOD7HQUAgO/+ykd2qb366vTX1iF9zmIYzJRtDDYUMBJCCCFd0JBWrB9UMi4jFpcO95yB9Ba+xYTp\nHJ7/n5v+j7nzZ/nUdsTdIfuePR83ju3p9XxCSPA4//X10uP0OYtxz7e78O+f9knbWkxW7Mizd87L\ntrXuaDTYA8YX/jiEnXlVbu/BOZeynCRwKGAkhBBCzkAzhybjjWtHQK9RYWxGd7x/41nSvrZWQ02K\nCsx00qgQLaJC3Gcv/eG2ib0Den1CznR/7i/x6bj/LrWvm/x040lc8f4Wl2PqW0xYsC0fj/+yHxmP\n/+m3MRJlGu+HEEIIIeR0xRjDd3eMc9jGZfsA4M1rhyMlJrR992nFsWsfmYIp/1vbrvtp1Qwmi/vA\nNyspEkdK6qXnlKMgJDh891cBqpuMaDLaM43/tyUXN41Ll54/9esB/LqnWHr+t3c24pHz+2NSZnwH\njvTMQRlGQggh5AziS+A2LkNogaHXCG8TLhmeilHp3QM4KoE4JTU9Ltxl3zWj0ly2ufPfK4ciKdpz\nttM5iXpuVoLP1yeEBNayg6XYkF0hPX/6t4NIn7NY+k8eLALAvsJa3PTZduzOr4bVyvHoT3uRPmcx\nLn13E/YU1GBHrvtprcQ7yjASQgghxMHr1wzHw+c3SdVffdbOmjWeit70inUNIt05q2c36NSt+0w8\nrZvvLUIIIcHpsvc2OzzfU1CDS9/dBABYeNc4nN0r8B98nY4ow0gIIYQEgSdmDsCf953T2cMAAIRo\n1eibENmua2Q4ZQk7sNUkAHjt59jR4yGEdK4r3t+CJ37ZjzEvrcTl7wlBZKPBjMoGAwDgQFEtpr+2\nDssOlmCJrU0IEVCGkRBCCAkCt0/K8PlYrbrt0U6YTg0A0LcyA9daqx6eDJOFw9qKAjr+CuIYEzKS\nfeLDcaK80adzOK1iJOS09822fABAaZ0Bm49X4JEf96K41rFP5J1f7QQgVHfu/+QSGMxWZL84A1q1\nCrkVjdhTUIPXVx6DwWTF1senoaCqCbmVjTin3+m7fpICRkIIIaSL2f74eW0+98HpmYgM0eLys1Lb\nfI0/7p2INUfKPB7DGINOI48AfWir0eYRBeY6hJDT1/WfbPO4/2RFIwxmKwDgivc345vbxrgU4/pi\n00k8u+gQAGDb49Pw3KKDSOsehnum9sX6YxWYlBmHIc8ux/3T+uHB6ZkBeR0dgQJGQgghpIsYlBKF\ng8V16Bau836wG2E6De6b1q9d4xicGo3BqUIfyKUPnIML39jg87k9u4chv6oJ/RMjcbS03mEfa2eK\nMUSrQovJ2qZz29hJhBBympoqCw73FdZiyLPLXY4Rg0UAGPPSKunxh+tyHI57c1U2BYyEEEIICbwF\nt49FYXVTZw/DQVZSFJY9MAk/7ihAfITe7XGBXDM4d0YWtp2sQoReg9/3FiPCh2I9UaGB7etICCGn\nCyp6QwghhHQR0aFaDEqJ7uxhuOifFIknLxroU4ZQvlbwz/vOwR/3TpSeezv7zsnK6zzvnNwHn908\nCv+9cih+nT0BCVFCS40HznP/iX6oVu11rIQQQihgJIQQQkgHEqd+MgYMTInC4NRoJEV57pkomjtj\ngPRY6ZwQrRrD02Kk5xcPS3F7LaqSSgghvqGAkRBCCCEBp/IQof101zi8ee1wqFSuxzwxc4DCGcAL\nlw5u13ic1yzSEkZCCFFGASMhhBBCAm5K/3hcP6anYqDXo1sYLhmuXLXVXbsR3o4qNf+7alibz22t\n1Q9P7rB7EUJIIFDASAghhJCA06pVeOmyIUiM9G36aaBE6jWYlBnnsr09AagnGfERAbkuIYR0FKqS\nSgghhJzmBiRHdfYQJNxPkz8n9nMN+nyx/7kL/HJ/Qgg5U1CGkRBCCDmNLX9wEr6/c2xnD8NFe3su\nhun8+5m3uzD22lFpXs9989rhfh0LIYQEEwoYCSGEkNNYZmIkokKCp+dggGZ+dqr2Br+irKRIv1yH\nEEL8iQJGQgghhHS4YOlqodMIb4XkfRl7dg9r1zXVCtVefXHrhN4AgFlDktt1f0II8Sdaw0gIIYSQ\nDtOjWygA4PoxPT0et2nOuWhj3OVgxYOTkFPRiDu/2qm4/7WrhyEmVIeUmFB8fvMolNcb8M6a4626\nhzjM8wcmYvmh0naOGC7R9Gc3j8StX+xo/3UJIaQNKGAkhBBCSIeJCdMhd/4sr8elxoT65X79EiPR\nL9F1qmfvuHCsO1aO1JhQjOjZDQAwNSsBAMAY8O+f9vnl/nJ3Ts7A3BkDkD5nscfjnOPkvvE0VZUQ\n0nloSiohhBASAD27h2HOjKzOHsZpbXyf2DafO3dmFj6/eZQULMpdNTINL18+pNXXbO1SRhUDFtw+\nxu/XJYQQf6IMIyGEEBIA6x+d2tlDOO19eetoGM3WNp2r16iljKKv7pvWD2+tyna7Xyzo4y6+u3qk\nveJqdKgWGx6bqliQyF9FdAghxB8oYCSEEEJIl6RVq6BVB2ay1PC0GADAtAGJ+O6vAmGjmxKvYnzH\nnZ476xMfAQA49PwF0GvUbS6OQwghHYkCRkIIIYR0GcPSYjChHVNRfTUgOQrHX5wBjSwgjY/UezzH\n15Yh7npIclvISWEkISSYUMBICCGEkC7jt9kTOuxeGqfs5Q1jeiE6TIdVh0vx255iaTuTQjwue972\nhpM0I5UQEkyo6A0hhBBCiA9UKoa/DUtBcrRyBVdfM4ytxRjw5KwBgbk4IYR4QRlGQgghhJBWeHB6\nP2QlRWJU7+4wmCw4UlIPALB6q3rjI6XTbzsnA6uPlGHzicr2XZwQQlqJMoyEEEIIIa2g16hx6YhU\npMaEIsNWyAaQFb3x8/10msC/XfvmNu/tPQghZyYKGAkhhBBC2kEMEMWKrbOn9m3X9dQqx7dnCZEh\nAIDzBiS2blxeItdZQ5OlxxP6xkmPbx6f3qr7EEJObxQwEkIIIYT4gYoBufNn4b5p/dp0fohWDQCI\nClVeMXTLhHTsePI8HJs3o03Xj4twrPLKA7XoshUW3jWus4dACPGiywaMjLHZjLF9jLE6239bGGOz\nOntchBBCCAk+V4/sEbBre8vkadW+TVK9aGgK5szIwr8v6O/mPgxxEXroNCrcOTnD6/X0TlNZw3Rq\nh+cWq2PAeNmIVFw/pqdPY/WXs3t179D7EUJar8sGjAAKATwG4CwAIwGsBvArY2xop46KEEIIIUHn\nv1cOQ+78wH6uLE/YaVT2IHHtv6fi+zvGej1frWL41+Q+bvs0ys2dMQAJbvpC/mtyHwDA0vsnoUc3\ne0XXxy7McjjOKV7E69cMx0uXDcFVAQyuCSFdT5cNGDnnv3HOl3DOj3POj3HOnwBQD4DmNhBCCCGk\nA7lmEP+4byIenykEaKkxoRiTEev/u7pJXM6ZkYXc+bOQHheOjY+dK22fNTQZU/vHAwCeumig2ymp\ng1Ki/T5WQkjXFbCAkTF2JWPsbcbYBtuUUc4Y+9rLOT0YY58xxooZYwbGWC5j7A3GWDcv56kZY9cC\niACw2Z+vgxBCCCHEk/F9Y9E/MRIPnZ8pbctKisIdk/oE9L7dwnStPidML2QvEyL1LlNSCSFESSAz\njE8CuAfAcABF3g5mjPUBsBPALQC2A3gdQA6A+wFsYYy5fDTHGBvCGGsAYADwAYDLOOf7/fYKCCGE\nEEK8iArRYtmDk5CVFNWh921vu42oUK1fxtEtTPk6v9w93i/XJ4R0rkAGjA8CyAQQBeAuH45/D0AC\ngPs455dyzudwzs+FEDj2B/CiwjlHIQSkYwC8D+BLxthgfwyeEEIIIaSrmT3V96xmr9hwAMBdU9qX\nCX3/xrPx3g1ntesahJDgFbCAkXO+hnOezX2o2WzLLp4PIBfAu067nwHQCODvjLFwp3sYbWsYd3LO\n5wLYAyFQJYQQQgjp8hbcNsbtvkcvyHLZ9m+Fbe6Ib9FCtWovR7qnU6swNiMWseGu02OZbJFlXETr\np88SQoKD9zJcHWOq7etyzrlVvoNzXs8Y2wQhoBwLYJWH66jw/+3de5xdZX3v8e9v9lwzt0wyM5mZ\n3CbXSQghtyF3ck8IyaEGREMQa4IRMQG8AJYARxLQJK9XFRpRipwW6RFsrfRUS31xSNHYahELeI4e\n2oRwC/WCKVEIggqiz/ljr5nM7Fl777Wva+2dz/v12q89s9aznvWbyY9hfvM863kk/yXDAAAAIui2\nd89KOr108eTWpNctnZL8XBB9I4zjRw7Luo/1Z3ZIklKNDvSMalRLfZVOvP7LrO8DIDxRKRj7Nhw6\nmuT8M4oXjFPlFYxmtl/SNyT9WFKjpEskrZDku2a2mV0u6XJJGjeuuHsMAQAAJHPh3HC2sXjn3NEa\nP3KYesenXFswqcdvXKPmPD0HmYulk1v13WdPhB0GULaisq1G3/rNJ5Oc7zs+fMCxDkn3Kf4c4zcl\nnS3pPOfcQ34dOOfuds71Oud629ra8hAyAABA6TIznd09YtDU0VSe27th0OdtjTX9I6PpH0AaqrUh\nP5PCmO4KFFZUCsaMOee2OufGO+dqnHPtzrk1zrmHw44LAACgHMUqghWWQT1x05rAbbfMH5vXe/fZ\neFZnQfoFyklUCsa+EcRkO8X2HX+1CLEAAACc1mq8+1ZKWwAAGepJREFUkcPRw+sCtXcpnmIMOICZ\n0r4Lz8ppcZ5kLlvSnfc+gXITlYLxae99apLzU7z3ZM84AgAAII33zI+v4zAvzXOLR25drxf2bdAH\nzpmQ9b366sR001XXz+gI1N9DHz5Ht2+eNeR4rvtRAkgtKv+FHfLe15nZoJjMrFHSEkm/lvRYsQMD\nAAAoF4snt+rY/o3qSjNyaGaBn22U5LtMatDL73rvvEDtulvrdcGcwQsEfeqCMxWrGPzr7BXLc9tX\nEsBgkSgYnXPPSTooqVvSzoTTeyTVS/qSc+6NIocGAABw2kq1rUc62SyEk6nRw+vU1jh48ZxZY5I9\n4QQgGwUrGM1sk5nda2b3SrreO7yo75iZfTrhkh2S/kvSZ83sa2a2z8y+Jemjik9FvbFQsQIAAGCo\nqaMaB32ebIpqX21YHTv1q2XfIjlm0tWrpvQ/F5lPZqYrV07OpYdBn03raEzSDjh9FXKEcbak93mv\nc71jEwccu2hgY2+UsVfSvZIWSLpG0iRJByQtdM79ooCxAgAAII0bN56R8nxvd4te2LdBRz953qBV\nVRdPbtXTnzyvIDElPsPYk2PR942rl+Z0PVBuClYwOud2O+csxavb55ofO+e2Oec6nXPV3rYZH3HO\nvVKoOAEAAKLmgSsW6YErFoUdRmDNdVWSpPEjh8nMQl2IZmJbg76a5ffOOWlG1+AprX/xx71D2s0e\nO3zIMaBcVYYdAAAAAAbr7R4RdggZOXN0s/7yfb1aMuCZx3w9wxh0aw9JOnDxbEmDp8bmIlZhWnPG\nqCHHx7TUKVZhevJFxjRQ/igYAQAASty0jkYd+fmvfM99efsCvf7m2wWPYfX0oYVVPnz6XUO30kim\nsiI/hWJ9dUxvvPV7/fDmdb7nrz9vmo689Ctt/59P5OV+QJRRMAIAAJS4r+1cojff/oPvuVxWOs1F\nJrty9Ll/+wKd/M3vtOP+H/Qfa6hJ/utqslsUeoHWUU21OvKSf4EOlJtIbKsBAACA7NVWxfqfIyxl\nSya3qrO5dtCxGV1NRbv/u3rHpG1TFTNV5WnKaxD3b19QtHsBfhhhBAAAQN7l4xnG4cOqVFGRxVBl\nFp7bu0FFulVgz+/dULSvH0iGEUYAAAAEVplDAdOVMHqYSmdzrf75upVZ3ytTsQqTZTCPtrt1WMrz\nt28O/uxlMhSLiAIKRgAAAAT2+I1r9L1dq7K69tFdqwO3bW+qTTvNtq++mzWmOWW7TF2xfJIkqSbF\n9iCT24fu97hqWvup2HyesNy+dEL/x++cO0bPfqowe1MC+UTBCAAAgMBa6qvV2Rx8q4t8u2drr6pi\ng4uxLm/rjWwW2qmvjg05dtXqKTq2f2NGzypeu26qbnnHjMDta6sqVBmw/29cvTRwv0C+UTACAAAg\n7ya112vW2OH65KYz89rvqmmjtGDCyLz0Nbm9QU/+97U6fMv6lO0mtNZrzx8lLwaP7d+oK1dNUUWa\nivUds0cPundQM7ryO4IKZIKCEQAAII1ZY4eHHULJqamM6es7l6i3e0TYofiaN75FzXVVqq2Kqc5n\nlHGgQ9eu0Jb543K634NXLtXMAVNnty7uzqqffRfO1DVrp/Z/vrKnLae4gHRYJRUAACCFb12zXO1N\nwRdrQXqXLhxcfG2ZP05//W//mff7zBrTrB/+5OSgY2umj9Ijh49n3FfMW4Dmwjmntt74iz/uVSyW\n3cI0mSywM9D6GR2qqqzQZ/7paFbXA5miYAQAAEhhYlvwqYNI7/m9G4Y8a7j3gjO194L8TV11Pnt6\nTO9s0uGXXtNF80brkcPHNX9CZiOfsQrTj3av07CqU6ORa84YlXOsmTIb/PU11Jb+/puINgpGAAAA\nFI3fVhGZjrZNGdWg7z57Qi3DqiWl2PPRp9+xI4bp29eu0NgRqbfF8NOUZXG2bUm3ZnQ1BW5/6NoV\nPmus+vvTi87Sgz/8WVZxAUHwDCMAAABKyq7zputvLl+oM0cPXgxmSJHlU0k6J3W31vdPMS2Gm8+f\nkdGeihNa69XdWp+2XUNNpWqrYjq2f6NaG2oC93/x2WMlSXPG8Wwu0qNgBAAAQEmprqzQwomnVkqt\n8vZL7Bup9BuxLEZ5mOVjiUXXV2g3Mp0VATAlFQAAACVt9/lnaFRjjdZMb5fk/wxjsSWOfgKlihFG\nAAAAlLSRDTW66b+docpYwq+2IQ35tTfWZLTPYqbSlcMPf2SZ2hrTT1EtkQFRhIyCEQAAoETtOm+a\nrlw5OewwkCCXOvUfr1oa/D5Jjvd0NOqxXauHHK/0nqMs5vObKH1MSQUAAChRH1w+KewQSkYxBhst\nD2N26aayBr2HX1H4l1vP1vMvv66OZvYVRXCMMAIAAKCs9C9+E3IcUdPZXKttSyakbffB5RP18fU9\nem7vhiJEhaijYAQAAEBZOWt0s7Yt6dYdW+YMOReB9XBCM6w6Fn+vir+PbKj2bTe8rlo7Vkxm6iok\nMSUVAAAAZaaiwnTz+TMGHSvGlNSW+vg2FdedOy1pm/ndIzR3fEtO92msqdSW+WO1+exxQ87VVPqP\nB315+wKNaRkWj2HCCO27cKbOn9Wl//WDnw5qt3PlJG1b0p1TfCgvFIwAAABAHtRUxnRs/8aUbf72\nikVZ9d1UW6nXfvu2pPiU230XnuXb7jt/stL3+OLJrf0fm5m2zB9abEqpi91Eo5pqdPy1NwO3R2li\nSioAAAAQcVGcSVuo6b1VMabCRgkFIwAAAFLqKqNVNV0kS68MZFFLdebh36/S53lGv+/kyp62nO81\nsj79HpIoHgpGAAAAJHX4lvU6dN2KsMPIycS2+rxseXE6O3zr+kGfP37jGt92X9w2v39xHZQHnmEE\nAABAUnVF/uV/dEudJOn8szrz0t/jN67RsOqYLr77sbz0V67u2dqrX77xu6Tnq2KDx5naGmtO6xVn\nTycUjAAAAIiM9sZaHbl1fdLVPjPV1jh4emMUi5yPrZ2q2/7paKgxrJo2KourBn8zJ7TW5ycYRApT\nUgEAABAptVUxWZ73wSjGthrZOLZ/o65ePaWg95jc3lCQfisSvqmfefcsSemL8u8mWcm1T8k/Z1pm\nKBgBAACAEtfTES8Ka2JDpxB//j1zk153dneLLlsyIat7/vmlp/p9d+8YzR03eH/JZM8y9u0HidLA\nlFQAAAAgZD2jGvXqb95Ken7r4m7d8a1nVVflX4T9+aXz9NRPT6p5WNWQc021Q4/1+eoVizMP1jOj\nqznl+Wyn/7Y2sL9jlFAwAgAA4LQR1cmOD390Wcrz16zr0TXrepKeb6qt0uJJrfkOK6XaJMVrrtN/\n79gyR6s+88+5dYK8oWAEAABA2YvoI4wFdd25PZozbnhOfbxjdpdeOPFGRtfkurDQxLYG1VXF9Jvf\n/T63jpAXFIwAAABAGdq5cnLOfRy4eE7W1+Yy0jh2RJ2OHn89o2t2rJikO7/9XPY3hS8WvQEAAAAQ\nKXXVjGtFBQUjAAAAThsuihsxloFNc0b3f9y3LcYNG6YHunb22FPTZhtr44XiXZfO1XXnJn9m088Z\nXU1p29QnWbkVyZV0wWhmO8zsBTP7rZk9aWbnhB0TAAAAIiiqGzGWkL0XzEx6zm/BnXfOHZP1vTqb\n6zKeUrv2jFH6cJo9LetrGLnMVMkWjGa2WdIBSXslzZH0qKSHzGxcqIEBAAAAZeiSBYX5NTuXWn5k\nfXX/xzWVMbX4bCuC3JRswSjpY5Ludc79D+fcYefcVZJekvShkOMCAABAxHQ01UhKvhVEIdywYZpu\n2DCtaPcLw99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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, axarr = plt.subplots(3, 1,figsize=(15,15))\n", "var_names=[r'$\\Omega_m$',r'$\\Omega_\\Lambda$',r'$h$']\n", "for i in range(3):\n", " \n", " axarr[i].loglog(x[i][1:distsize[i]/2],y[i][1:distsize[i]/2])\n", " axarr[i].set_title(var_names[i])\n", " \n", "plt.setp(axarr[0].get_xticklabels(), visible=False);\n", "plt.setp(axarr[1].get_xticklabels(), visible=False);\n", "#plt.setp(axarr[2].get_xticklabels(), visible=False);" ] }, { "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": "2.7.12" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 }, "notify_time": "10" }, "nbformat": 4, "nbformat_minor": 2 }