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Marginal Likelihood in Python and PyMC3, based on the paper reading of "A Tutorial on Bridge Sampling"
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Marginal Likelihood in Python and PyMC3\n",
"\n",
"This blog post is based on the paper reading of [A Tutorial on Bridge Sampling](https://arxiv.org/abs/1703.05984), which gives an excellent review of the computation of marginal likelihood, and also an introduction of Bridge sampling. Here I will replicate these computations in Python and PyMC3, implementing especially the Bridge sampling technique. An R implementation of Bridge sampling is available on [Github](https://github.com/quentingronau/bridgesampling) with [the paper](https://arxiv.org/pdf/1710.08162.pdf). \n",
"\n",
"**!Warning!: Marginal likelihood (and Bayes Factor) is extremely sensitive to your model parameterisation (particularly the priors). You should be aware of which part of the model the marginal likelihood is sensitive to, and have a clear justification of these parts. Otherwise, Bayes Factors are too easy to game and you will most likely fool yourself.**"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"import numpy as np\n",
"import pymc3 as pm\n",
"import seaborn as sns\n",
"import scipy.stats as st\n",
"import theano.tensor as tt\n",
"\n",
"%pylab inline\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The marginal likelihood is defined as follow: \n",
"\n",
"$$\n",
"p(y \\mid \\text{Model}) = \\int p(y \\mid \\theta, \\text{Model}) p(\\theta \\mid \\text{Model}) d \\theta\n",
"$$\n",
"where $y$ is the observed data, and $\\text{Model}$ is the model/parameterization. If you interprete the marginal likelihood as a weighted average of the likelihood of the data given the prior $p(\\theta \\mid \\text{Model})$, you can rewrite marginal likelihood as an expectation: \n",
"\n",
"$$\n",
"p(y \\mid \\text{Model}) = \\mathbb{E}_{prior} [ p(y \\mid \\theta, \\text{Model}) ]\n",
"$$\n",
"\n",
"The upside of thinking regarding Expectation is that, using Monte Carlo simulation, we can think of simulating lots of samples and take their average."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Running Example: The Beta-Binomial Model\n",
"\n",
"$$ \\theta \\sim \\text{Beta}(1,1) $$\n",
"$$ k \\sim \\text{Binomial}(\\theta,n)$$\n",
"\n",
"With a Conjugate prior, this becomes a Beta-Binomial model where the analytical solution is aviable: \n",
"Posterior\n",
"$$ \\theta \\mid n, k \\sim \\text{Beta}(k+1, n-k+1) $$\n",
"and the marginal\n",
"$$ p (k \\mid n) = \\int^1_0 p (k \\mid \\theta, n) p (\\theta) d (\\theta) = \\dfrac{1}{n+1}$$\n",
"\n",
"The running example is based on the [R code](https://osf.io/5eka2/) accompany with the Tutorial paper on Bridge Sampling. More details please see the paper."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Observed Data\n",
"k = 2\n",
"n = 10\n",
"# Prior parameters for Beta\n",
"alpha = beta = 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Analytical Solution"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The analytical solution of the marginal likelihood is 0.09091\n"
]
}
],
"source": [
"# Exact Calculation\n",
"m_l = 1/(n + 1)\n",
"print('The analytical solution of the marginal likelihood is %.5f'%(m_l))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
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jjV8lLi6eDRvW8vHH6/ne975Herr9wy1FRDoTdM0DnrsJEcANhmH8p2max1pf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\nj2ntbdNbhzborUMbJEkZjl+VBTM1q6hKswurVFlQoSk5pVzqBCAqhIc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"text/plain": [
"<matplotlib.figure.Figure at 0x7fd272fe6400>"
]
},
"metadata": {
"image/png": {
"height": 266,
"width": 391
}
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0.0, 1.0, 1000)\n",
"f = lambda a, b : st.beta.pdf(x, a, b)\n",
"\n",
"fig, ax = plt.subplots()\n",
"plot_pdf = lambda a, b : ax.plot(x, f(a,b), label=r'$\\alpha$={0}, $\\beta$={1}'.format(a,b))\n",
"plot_pdf(alpha, beta)\n",
"plot_pdf(k+alpha, n-k+beta)\n",
"plt.legend(loc='upper center', frameon=False)\n",
"ax.set(xlim=[0,1], ylim=[0,3.5], xlabel='x', ylabel='pdf')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Naive Monte Carlo Estimator"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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NzU6cLqsp59c7nqaytsrFZCLBp6qqiuzsYSxadFOrr21cLJ2T07ETtkVEuiM1D9LjFZQV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\nSh5ERERERCQqSh5ERERERCQq/z+Ydrr0FswpsAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd26f4cc2e8>"
]
},
"metadata": {
"image/png": {
"height": 266,
"width": 391
}
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Naive Monte Carlo Estimation is 0.12329\n"
]
}
],
"source": [
"N=12\n",
"prior_samples = st.beta.rvs(alpha, beta, size=N)\n",
"\n",
"fig, ax = plt.subplots()\n",
"betap = st.beta.pdf(prior_samples, alpha, beta)\n",
"ax.plot(prior_samples, betap, 'ko')\n",
"ax.plot([prior_samples, prior_samples],\n",
" [np.zeros_like(betap), betap], 'k--', alpha=.5)\n",
"\n",
"plot_pdf(alpha, beta)\n",
"plot_pdf(k+alpha, n-k+beta)\n",
"plt.legend(loc='upper center', frameon=False)\n",
"ax.set(xlim=[0, 1], ylim=[0, 3.5], xlabel='x', ylabel='f(x)')\n",
"plt.show()\n",
"\n",
"m_l_n = st.binom.pmf(k, n, p=prior_samples).mean()\n",
"print('The Naive Monte Carlo Estimation is %.5f'%(m_l_n))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Naive Monte Carlo Estimation using PyMC3 model"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Set up PyMC3 model\n",
"with pm.Model() as BB:\n",
" p = pm.Beta('p', alpha=1., beta=1., transform=None)\n",
" obs = pm.Binomial('obs', p=p, n=n, observed=k)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get the log-probability function from PyMC3 model. I should point out that when I am defining the model in above, I set the `transform=None` for the Beta distribution. In general, PyMC3 transformed the bounded parameters to Real line, however, doing so here the logp function will evaluate on the _transformed_ input."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# from pymc3.model import Point\n",
"# from pymc3.blocking import DictToArrayBijection, ArrayOrdering\n",
"\n",
"# start = Point(BB.test_point, model=BB)\n",
"# bij = DictToArrayBijection(ArrayOrdering([p]), start)\n",
"# logp_func = bij.mapf(obs.fastlogp_nojac)\n",
"\n",
"logp_func = BB.logp_array"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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NzU6cLqsp59c7nqaytsrFZCLBp6qqiuzsYSxadFOrr21cLJ2T07ETtkVEuiM1D9LjFZQV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd26f359630>"
]
},
"metadata": {
"image/png": {
"height": 266,
"width": 391
}
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Naive Monte Carlo Estimation is 0.09867\n"
]
}
],
"source": [
"prior_samples = p.random(size=N)\n",
"\n",
"fig, ax = plt.subplots()\n",
"betap = st.beta.pdf(prior_samples, alpha, beta)\n",
"ax.plot(prior_samples, betap, 'ko')\n",
"ax.plot([prior_samples, prior_samples],\n",
" [np.zeros_like(betap), betap], 'k--', alpha=.5)\n",
"plot_pdf(alpha, beta)\n",
"plot_pdf(k+alpha, n-k+beta)\n",
"plt.legend(loc='upper center', frameon=False)\n",
"ax.set(xlim=[0,1], ylim=[0,3.5], xlabel='x', ylabel='f(x)')\n",
"plt.show()\n",
"\n",
"m_l_n = np.exp(np.array([logp_func(p) for p in prior_samples])).mean()\n",
"print('The Naive Monte Carlo Estimation is %.5f'%(m_l_n))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Importance Sampling Estimator"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# helper functions\n",
"def posterior_ab(post_samples):\n",
" # use properties from the posterior in order to create g\n",
" mu_post = np.mean(post_samples)\n",
" var_post = np.var(post_samples)\n",
"\n",
" # use method of moments to obtain best fitting beta distribution\n",
" a_g = mu_post*(mu_post*(1 - mu_post)/var_post - 1)\n",
" b_g = (1 - mu_post)*(mu_post*(1 - mu_post)/var_post - 1)\n",
" return a_g, b_g\n",
"\n",
"# mixture distribution\n",
"def betamix_pdf(x, w, a_g, b_g):\n",
" return w*st.beta.pdf(x, alpha, beta) + (1-w)*st.beta.pdf(x, a_g, b_g)\n",
"\n",
"# mixture samples\n",
"def betamix_rvs(N, w, a_g, b_g):\n",
" mix_ind = np.random.choice(2, N, p=[w, 1-w])\n",
" betamix_rv = np.hstack((st.beta.rvs(alpha, beta, size=(N, 1)),\n",
" st.beta.rvs(a_g, b_g, size=(N, 1))))\n",
" return betamix_rv[range(N), mix_ind]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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J04c6Tx1rcjbYmJGIiIh0NxUPEhBq3DXsazLL0pgEgxBXsI0ZCdQ//UkMT7Di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\n3O5s1+MOrJ2chDglv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"text/plain": [
"<matplotlib.figure.Figure at 0x7fd291846908>"
]
},
"metadata": {
"image/png": {
"height": 266,
"width": 391
}
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Importance Sampling Estimation is 0.08314\n"
]
}
],
"source": [
"w = .3\n",
"# Draw from the posterior and create a Important Density g_IS(theta)\n",
"post_samples = st.beta.rvs(k+alpha, n-k+beta, size=N)\n",
"\n",
"a_g, b_g = posterior_ab(post_samples)\n",
"g_samples = betamix_rvs(N, w, a_g, b_g)\n",
"betap = betamix_pdf(g_samples, w, a_g, b_g)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(g_samples, betap, 'ko')\n",
"ax.plot([g_samples, g_samples],\n",
" [np.zeros_like(betap), betap], 'k--', alpha=.5)\n",
"ax.plot(x, betamix_pdf(x, w, a_g, b_g))\n",
"plot_pdf(k+alpha, n-k+beta)\n",
"plt.legend(loc='upper center', frameon=False)\n",
"ax.set(xlim=[0,1], ylim=[0,3.5], xlabel='x', ylabel='f(x)')\n",
"plt.show()\n",
"\n",
"m_l_i = (st.binom.pmf(k, n, p=g_samples)*st.beta.pdf(g_samples, alpha, beta)/\n",
" betamix_pdf(g_samples, w, a_g, b_g)).mean()\n",
"print('The Importance Sampling Estimation is %.5f'%(m_l_i))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
" 82%|████████▏ | 816/1000 [00:00<00:00, 2034.05it/s]/home/laoj/Documents/Github/pymc3/pymc3/step_methods/hmc/nuts.py:452: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.88966922644, but should be close to 0.8. Try to increase the number of tuning steps.\n",
" % (self._chain_id, mean_accept, target_accept))\n",
"100%|██████████| 1000/1000 [00:00<00:00, 2127.71it/s]\n",
"/home/laoj/Documents/Github/pymc3/pymc3/step_methods/hmc/nuts.py:452: UserWarning: The acceptance probability in chain 3 does not match the target. It is 0.883795301499, but should be close to 0.8. Try to increase the number of tuning steps.\n",
" % (self._chain_id, mean_accept, target_accept))\n"
]
}
],
"source": [
"# Set up PyMC3 model\n",
"with pm.Model() as BB:\n",
" p = pm.Beta('p', alpha=1., beta=1.)\n",
" obs = pm.Binomial('obs', p=p, n=n, observed=k)\n",
" trace = pm.sample()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IiIjI1lg8kMM4X39Rfu2icMaMANGO2ZBCUGCdSe+DRqfB/rLDdsyIiIiIbI3F\nAzmEHm0PLpmssjQzUISL0tmOGRFg6P0Jdg+U40MVWehQd9gxIyIiIrIlFg/kEHIb8802hpsbNMuO\n2VAfhaDAtTGr5bhb24MD5UfslxARERHZFIsHcgjn64xDlhSCghvDTSDLwhbBz9VXjg+UHUGXptuO\nGREREZGtsHigCU+r0yKnPleOk/wS4OHsYceMyJSTwglro9PluF3TgSOVx+2YEREREdkKiwea8Aqb\ni9GuMY6jnxfMIUsTTUr4Ung5e8rxvrLD0Oq0Q9xBREREjojFA014pqssAcBcFg8TjqvSBemRKXLc\n3N2CUzXn7JgRERER2YKTvRMgGoper0e2yXyHGJ8os/H1jkKSJOzatQtVVXXw9vZGRsZaJCZOt3da\nVrUqIgXfXjkgT2zfU3oQS8MWQhAEO2dGRERE1sLigSa0UlU5mrqb5Xh+0Gw7ZjMyhYUF+PDD95CT\nk43GxgbU1dWhrKy033VpaenYsuVppKauskOW1ufl4okV05bgUEUWAKCyvRq5jfmYGcj9OIiIiCYL\nFg80oV2ov2QWT+QhS4cPH8TPfvYk8vPzR3x9VlYmtm59HXfccbeNsxsf10Sn4XDFUeihB2DofWDx\nQERENHlwzgNNaKarLIV4BCHMM8SO2Qzul7/8BW699cYRFw59tFottmx5BJmZh2yU2fgKcg/E/JA5\nciw1FaJUVW7HjIiIiMia2PNAE1ZzdwvK2irleHbgxNzb4Ze//AX+9Kc/DnmNICjgFRgN/2lJ8AqI\nhIdvCFw8/KB0coWgUOCv35ThROU5BPu5I9TfA5HBnkiI8IWrs3Kc3oX1XBudjrO12XK8t/QQvjfr\nLjtmRERERNbC4oEmrIv1eWbxRCweMjMPDVo4CAolQuIWYdr0FITEL4KLm/eQbeVcbjSLnZQC4qf5\nYG5iEJbPDEWAj5vV8ralGJ8oTPeLR0HzZQDAmdps3BR/PQLd/e2cGREREVmKxQNNWDkNxuLBTemK\nBL9Y+yUziN/85pf9jjm7eSNu4UZEz74Wbl4BY25bo9Ujv7wF+eUt+PhAEcRoP2QsjMSipGAoFOYr\nGBUWFmD//j1QqVQTYjWntdHpcvGg0+uwv+wwbku6yW75EBERkXWweKAJSa1VI6/ROH9gRkASnBQT\n6+NaUJCP06dPyrGTizsSl96K2Pk3wMnFfdD7tJoedLbWolPVAK26C3q9Dk7O7oiKS4LOyQs9al2/\ne/QA8kqbkVfajBA/d6xbFo20udNwNOsw/vCH3+Hw4YP97rHnak4zA0WEeYaiur0GAHCk6gQ2xK3l\nzuBEREQObmL9NUbUq6D5Mnp69wsAgFlBE2/I0oEDshmT4gAAIABJREFUe+XX4WIaZqZ/b8CeBp1W\njfqyHNRePomG8ktoayiFXt+/QLj5pZfx4IM/QpOqG/nlzci70owLlxvQpOo2u662uRP/2iXho70X\nceSzV1CZnzVgfvZczUkhKLA2ahX+nbcdANCj7cGhimNYH7tmXPMgIiIi62LxQBOS6ZAlAQJmTcDl\nPlUqFVw9/DBv/WMIiV3Y73xHSy1Kzn2N8kv70dPZOmRbgiAgI+MaCIKAAB83LJ8ZhuUzw6DT6SGV\nNiErpxrHc2ug0erlezo1Tli48aeIKctB9u4/o725sl+7fas5RUZGjXsPxOKwBfjy8jdo6VEBAA6U\nZ+KaqDQ4K53HNQ8iIiKyHi7VShOOXq83W6I12icSPi5DTza2B61rKFbd+4d+hUOnqh7nv30d+99+\nCJdPfz5s4QAAqanpSEjoP0dBoRAwIzYAD26ciZcfSsENK2Lg7mq+AlNg1Gysuu8PSFj8HQhC/3/S\nWq0WW7f+bpTvznLOCiesjkqVY1VPG07UnBn3PIiIiMh6WDzQhFPTUYuGLuPKQ7MDk+2YTX96vR6f\nHb6MXFUUXD395OM6rQZFJz/FgX8+grKcPdDrtCNqT6lUYsuWp4a9zs/LFbemJ+CH14ag+OzX0Jm0\nr3RywYxV/4GU774Ed+/gfvdmZh5EYWHBiPKxptTw5XBVusjxvrJM6PX6Ie4gIiKiiYzFA004F0x6\nHQBg9gSa76DW6PC3ry7hiyMlZsdVDWU4vO0p5B5+B1p114jbUyqV2Lr19VENKTpx9AAu7n8LB995\nDA3lF83O+YcnI+3erQhNWGZ2XK/Xm83RGC8ezu5YGW7Mpbq9BnmN41/EEBERkXWweKAJ56LJfAdf\nF29EeUXYMRujji41tn54Dkcv1pgdL8vZjcxtT0FVXzLitgRBQFraamzf/vmoJzOrVIY5BO1NFTj6\n4X/hwt43oenplM+7uHlhyc0/Q3LqPQCMS7ru27cXr7zyMt566y/j2guRHrkSgmkeZYfH7dlERERk\nXZwwTRNKl6YLRS0lcjwzMBmCIAx+wzjp6FLj9x+cQ3GVSj6mEATcuy4JlTGVeGKvZtg23NzckJiY\nBFFMxpNPPjPmfRi8vU3nf+hx5fxO1F05i4U3PA2/0AT5TOLS2+AVEImzO/8ArboLe/bswp49u+Tz\n47WUa5B7AOYFz8K5uhwAwKVGCdXtNQjzDLXpc4mIiMj62PNAE0p+UxF0JsuYzpwAqywNVDi4uSjx\n+Oa5SJ8fgTvvvAfbt3+OtLTVA94fEBCABx98EM888wzWr9+A9PQMizZwy8hY2z/H5mpkvf8Mis9+\nZXY8LHE5Ur77Ety8gvrdc/jwQWzefDPef3/bmHMZqYyoNLN4f1mmzZ9JRERE1sfigSaUXJPx8AIE\nJPsn2jEboLNb069w8HJ3xv+7eyFmxwfKx1JTV+Hjj7/As88+jxkzZiIgIACBgUFIS0vHCy/8Bqmp\nqQM1PyaJidORlpbe77hOq8HF/X8z9DRojHtk+IbEY+Wdv4Wnf//hX31LuWZmHrJafgNJ8I1FtHek\nHB+vPoM2dbtNn0lERETWx+KBJpTcRkl+HesTZdcdiTVaHf7yWU6/wuHpOxcgOnTgpWNDQ8MQExMH\nf/8A+Pn5wdPTyya5bdnyNJRK5YDnKnIP4NhHz6G7o0U+5u4dhJTvvgSfkPh+14/HUq6CIGCNSe+D\nWqdGZsVxmz6TiIiIrI/FA00Y9Z0NqOtskOPkgCS75aLX6/F/30jIKTYuGdtXOESF2KYgGI3U1FV4\n5ZXXBi0gmipzkfnu01A1lMnHXD18sWLzr+Ef3n/1qvFYynVByBz4uvjI8aHyI9Dohp8rQkRERBMH\niweaMHIb883imYH2Kx6+PFKCzAtVcuzipMDjm+dNiMKhz3BzLTpba5H1wc/RXF0oH3N29cTyW19A\nYORss2vHYylXJ4UT0iNT5LilR4Uztdk2fSYRERFZF1dbogkjt8FYPLg7uSHGO2pcnltYWID9+/dA\npVLB29sbEeJKfJZVL58XBODHN89GfLjPEK3YR2rqKqSmrsIf//h7HD16BD09PWhsbMSlS4aVjdRd\nKhz76BdYcsuzcsGgdHbFkluexfGPX0BTlXGYWN8SsDbNN2I5dpbshVpnmJOxv+wwloQumBArahER\nEdHwHLJ4EEUxGMBzAL4DIBRAM4BMAL+WJOnMCO4fbotbf0mSmi1OlEZMq9NCajJ+Qy76J0KpGHhI\njrUcPnwQf/jD73D48EH5mKffNKTeHQlnV0/52D3XiZg/vf9qRRNJaGgYFi5cDAAoLi6SiwcA0PR0\n4vgnv8LiG59BSNwiAICTizuWbnoOxz56Di01RQCuXgLWNjydPbBs2iJkVhwDAJSqKlDUUoJEvzib\nP5uIiIgs53DFgyiKIQBOAwgE8BcA5wEkAXgMwDpRFFdKknR2BE1dAvD8IOe4DMw4K24tRZe2W45n\n2Hi+w3vv/RtPPPEotFqtfEzp7IZFN/0/s8IhyrsdGQtGvklddHQM5s6dB1dXVwCAKCYjOjoGfn4e\n8Pb2RktLJwIDA4dpZfSio2PkydlxcfH4+OPtZud1mh6c+uK3WHLLswiOmQ/AMIRp2a0v4OiH/4W2\nhlJkZFxj9bwGkhGZKhcPgGHTOBYPREREjsHhigcALwKIBHCrJEmf9B0URfEkgM8A/AzA7SNop06S\npI9skyKN1tXzHWYE2G5/h8zMQ/0KBwCYveaH8AmKkePGyjx88/HzuHbexyPeSC0lJRUpKf2XZQ0O\nNnyrX1dnm6FBVz/z/fe3mfWoAIBOq8apz/8bSzc9h8DIWQAAFzdvLNv0PHqKPkVCwtj3nhiNMM8Q\nzAwUcanBMGQqu+4i6jsbEORu/aKKiIiIrMsRJ0xXAngPwKdXHf8GgB7A3HHPiCxmOt8h1CMYge7+\nNnvW1q3/269wCBdTETVrjRx3tTfhzFcvQ6PutvkyprYw2FKuWk03Tnz6azRV5snH3LwCEL38QbR1\nqvtdbyumy7bqoceB8iPj9mwiIiIaO4crHiRJekGSpLskSbp63oI3AAFA62jaE0VREEXRc/gryVba\n1O0oVZXLsS2XaC0oyO/3jbybdxDmXPOQHOv1Opzd8Xt0tRmWaR2PZUytbailXLXqLpz49Ndorb8i\nH2vuBF79OBs9am2/620h2X86wj3D5Pho5Ul0ajrH5dlEREQ0do44bGkwP+79uW2E1weJovh/ADYB\n8BRFUYXeYU+SJFVYmkzfMBUaXlFZAfQw1oLL4+bZ7Pf33ntXfcMtKLDg+sfh7GasH4tOfoqGMuOE\nY71ej1OnjmDFioUWP388PxePPfYQ5sxJxm9+8xvs3Wu+DKumpwMutfvgFfkA2roMv/vC8hb83+58\nPHPvEigUtl/96KaZa/HGyX8DALq03chR5WBD0pph7pqc+P8LGgg/FzQQfi7I3hyu52EgoiheD8Pq\nS6dhmEQ9EjN7f94DYDMMw6DuBXBUFMWJvbTOJJNTY1wuVCkoMDPYdmPvW1vNO6bi5t9gtudBc00R\npKz3hr3PUWRkZGDPnj3Iy8vDq6++ihdffBGvvvoqcnNzsXvnZ/jvR1bDw834HUJWdhXe3ZU3RIvW\nkxq9BN6uxn0zvik4AJ1eNy7PJiIiorFx+J4HURTvA/A3ACUAbpQkqWcEt10Pw4Tp0ybHPhJFsQzA\nswCehGHi9ZjZamLsZHS+Kld+HeMThbZmNdpgm/H3CoWL/NrDNxRi6t1yrFV34+yOV6AfYNdjhcJl\nRP9N9+3bjQMH9iEvLw+CYFhtafXqNfD19UB1dTVUqi6EhIRgzZprrfOGTJ5bW1sLAAO2f+7cRQDO\n8PEJREhICAICwlFXp4Knk4BHvjMHr3x4DhqtoQfigz358Pd0xtIZoVbNcSArwpbg2yv7AQDVbXU4\nJJ3GrMBkmz93orD1RHpyTPxc0ED4uaCB2KMnyqGLB1EUfwHgVwBOAbhBkqTakdwnSdI3g5z6MwzF\nw1pYWDzQyDR3t6Cmo06Ok/wTbfq8jIy18us5ax+Gk7ObHOdl/hvtTf1HrAmCMOJlTGtra1FSUoKy\nMsN8AldXN9TW1qKz0w0lJSVob+8epoWxqa2tRWnplTGdT47xx73rRLy9w9jj8PevcxHi747YMNtu\njLcqYgX2lB6UexwOlB2ZUsUDERGRo3HYYUuiKP4BhsLhCwDpIy0chlEHw4pNE28r4UlKaiw0i0X/\nBJs+LzFxOtLS0hE16xoEx8yTjzdVSSg+9/WA96Smpo/bMqb2kjY3HNctMe7ordbo8NrHF9DSZpti\np4+/mx/mBc2S40uNklkxSURERBOLQxYPvT0OPwHwNoBNkiR1jOLeOaIo/kgUxegBTk+HYcWmUutk\nSsMx3VXaWeGEOJ+YIa62jh8/8hRmpn9PjnVaNc5/+zowwHh7pVKJLVuesnlOE8HmjATMjguQ4yZV\nN17/5AI0WtvOQ1gdZb5HxcHyLJs+j4iIiMbO4YoHURQzAPwShgnO35ckaci1JUVRTBZF0XT72tkA\n3oBhgvXV+oYqfTLAObIyvV6P/KYiOY73jYWz0tnmzy3vDIGzm3GibsHx7WhrKOt3nVKpxNatr494\ngzhHp1Qo8OObZyE0wEM+VlTZig/2FQ5xl+USfGMR4TVNjo9XnUKnpsumzyQiIqKxccQ5D307du0B\nsEkUB9yJeIdJb0QuAAlA30Dq7QAeAPBg76pKOwAoYViydW1vu2/ZJnUyVddZj6buZjkWbTzfAQAu\nV7bicHaVHGs7G1F4wrxWFAQBqanp2LLlqSlTOPTxcHPGT26bi1+/cwqd3YaJ43tPlyMxwhfLZtpm\nArUgCFgdmYptedsBGJZtPV51GqujVtrkeURERDR2jlg89C22/6chromDYfWlfiRJ0oiieCOAR2Ao\nItYD0AHIB/A0gD9KktR/uR2yOsmk1wGw/WRpnU6Pf38rmR17+v4MLAx4FkePHkFPTw9CQ8Pw5JPP\nIDFxcs9xGEpYgAe+f8MMvPbJBfnYP3fmISrECx3Nldi/fw9UKhW8vb2RkbHWKr+rxaHz8VnR12hX\nG2r+gxVHsCpyBRSCw3WOEhERTWoOVzxIkjSq3asGul6SpC4YejB+1/8OGi+m8x3clG6I9o6w6fMO\nZ1eipNq4xN3CpGDMjgtETmgYFi5cDACIjo6Z0oVDnwVJwVi/LBrfHDdM/+lWa/Gz13bg27cehlZj\nPok6LS0dW7Y8bVEvjYvSGSnTlmJ36QEAQG1HPfIaCzAzcMCeRSIiIrITfq1HdqHT61Bg0vMw3T8O\nSoXSZs/r6tHg08PFcuzspMAd19h+mJQj27QqHkmRvnKsdA/EnGsf6nfd4cMHsXnzzXj//ZFu7j6w\nVZErIMBY6x8oPzLE1URERGQPLB7ILirbqtGmbpdjWw9Z2nWiDK3txv0Dr18WjSBfd5s+09E5KRVY\nOK0N3e1N8rHIGasROTOj37VarRZbtjyCzMxDY35egJs/5gUbl2292JCHWi7bSkRENKGweCC7yG+6\nen8H2xUPLW3d8vAbAPD1dMH6ZQOt1EtXe/PPv8OZHb+HXmdc1Gz2mh/Cwy+s37VarRZbt1o2EnB1\npPkk6UPlRy1qj4iIiKyLxQPZhelkaS9nT0zztO5KPoWFBXjrrb/glVdexm/f+hrdauMfvzenxcHN\nxeGm+4y7goJ8HD58EA1lOSg4vl0+7uTijoUbnoAwwDCzzMyDKCwsGPMzE/3iEe5pLEyOVp1CF5dt\nJSIimjBYPNC40+q0KGy+LMeif6LVVtU5fPggbr31RqSkLMKzzz6D1958G1Wd3vJ5X3cgbe60IVqg\nPgcO7JVfFxz7EI2VeXLsF5aEpBV39rtHr9eb3TdagiCYLdHape3C8eozY26PiIiIrItfv9K4K1VV\noEtrXLEnyT/BKu2+996/8cQTj0KrNfYyzEi7FwqTb8j3ffDf2B5ahTvuuFs+du2166FWG+ZDODu7\nWJTDtdeux7x5C1BfXwsACAoKQUhIKIKCvNDT04OGhjaLnzHYc4d6D2N5jyqVcWUqvV6Hsztewap7\nt8LZ1RMAkLh0E+pLz6GhLGfQ+8ZiSegCfFa4Ax2aTgCGHadXRayAIIxqoTUiIiKyARYPNO5Mex0A\nYLoViofMzEP9Cgff0ASEJS6X44byi6gqPI4tW04hMjJKXlo0MDDQ4uf3CQwM7G1vptnxoCBD74ez\ns2V/WA/1XEvOD8Tb29ss7mytxYW9b2LhhicAAIKgwPz1j+PQvx6Huqtt0PtGy0XpgpXhy+RlW2s6\napHXVIAZAUkWtUtERESW47AlGnemxYOPizdC3IMsbnPr1v81KxwAIGn5HWZx7uH/A2Cdib1TQUbG\n2n7HKvMOofzSfjl29w7CnLXG5VsFQUBGxjUWPzst4qplW8u4bCsREdFEwOKBxpVOr0Nhc4kcT/eL\nt3g4St/EXlO+oYkITVgix7XFp9FcZdxd2tKJvVNBYuJ0pKWl9zues++vaG+uluPwpJUIF9MAAKmp\n6UhIsHyTvUB3f8y9atnWuo4Gi9slIiIiy7B4oHFV0VaFLq1x9ZxEvziL2xxogm7Siu+axflH3zeL\nLZ3YO1Vs2fI0lErzVZU0PZ04u3Or+fKt1/wQHj5B2LLlKas9e3VkivxaDz0OVWRZrW0iIiIaG855\noHFVcNV8h0S/eIvbvHqCrm9oIkLjr+p1qO7fy9B3X0NDg9lkYkvmQDQ0NKC2tqbfhGlB6DabMG3N\neRZ9zx3qPYz1PaamrsIrr7zWbz5Jc5WEolOfInHpbQAAFzdv3P7o61i5Ms0abwcAMN0vAeGeYahs\nN/RyHK06iRviroObk6vVnkFERESjw+KBxlVhc7H82tPZA2GeIRa3efUE3eF6Ha6+b/fub1BaegUA\nEB0dY7YS02jt3v0Nduz4CgUFhiFS06eL2LBhI7y93VBSUoL29m6LnzHYc4d6D5a8xzvvvAdRUdHY\nuvV3OHz4gHw8/+j7CIlfAp+gGABAfacbMrOrkDYv3MJ3YyAIAtIjU/Ce9AkAoFPThZM1Z5EWsXyY\nO4mIiMhWOGyJxo1hvoOx5yHRL94q+zuYTuz1DU0YUa+DtSb2ThWpqavw8cdf4Nlnn8eaNWuRmroK\n37llEx7/7lIoFcY5K+/tLUBDi/U2dVsSthDuTu5yfLD8CPR6vdXaJyIiotFh8UDjprq9Fu3qDjm2\nxnwHwHxib+KSW83ODdbrYK2JvVNNaGgYFi5cjOXLU5CenoHUJbOwMSVWPt/Vo8XbO3Ohs9If+K5K\nF6yYtliOq9pr+g19IyIiovHD4oHGTb/9Haww36HPli1PwzswEmHTjUNa6krODdjroFQqrTqxd6q7\nYUUMYkKNQ8culTTh4NkKq7W/KiLFbNnWg+VctpWIiMheWDzQuDGd7+Du5IYIr2lWazs1dRXu+s//\ngWAyDKrw5Cf9rlMqldi69XV5gziynJNSge9vnAEnpfEP/O0HitDYap3hS8EegZgVKMrx+bqLaOxq\nskrbRERENDosHmhc6PV6s+EmCb6xVpnv0KelrRs1ncZvv5urC9FQli3HgiAgLW01tm//3OqTlQmI\nCPbCzanGYWhdPVr8a5dktfkJqyJXyq/10ONwxTGrtEtERESjw9WWaFzUddajtce4pKo1lmg1ted0\nOTRanRzPi1LCZc1a9PT0IDQ0DE8++QwSEznHwZbWLY3GydxalNa2AQDOFzXgZF4tls4ItbjtGQHT\nEeIehNrOegBAVuUJbIhdC2els8VtExER0cix54HGhS32d+jT2a3BvjPGMfbBfm5ICnczm9jLwsH2\nnJQK3L8hGaYbhm/bnY+2TrXFbSsEBVaZbBrXpm7H6drzFrdLREREo8PigcaF6XwHF6ULor0jrNb2\nofOV6OzWyPH6pdFmf8DS+IkN88G6pdFyrOpQ4/29/Setj8XyaYvgonSRYy7bSkRENP5YPNC4KGgy\n9jzE+8RAqVBapV2tToc9p8rk2NvDGSvnWG8iNo3ezalxCPEz7s2QlVONnMsNFrfr7uSOZWGL5LhU\nVYGS1rIh7iAiIiJrY/FANtfQ2YSm7mY5tuaQpXMF9Who7ZbjNQsj4eJsncKExsbVWYn/WC+aHXvn\nGwldPZpB7hi5dJOhSwCXbSUiIhpvLB7I5opais1ia20OBwB7TpXLr52UAlYvsN5wKBq7GbEBSJtr\n7AFqaO3CJ4cs39xtmmcokvwT5fhMbbbZRHwiIiKyLa62RDZ3ueWK/FopKBHjE2WVdktrVJDKjD0a\nS2eEwtfTMCY+JCREPm76eiCjuXY4ISEhiI2NRVdXFwQBiI2NRUhICHx9PQAAKlWXxc8Y7LkDvR7p\neWs9x9TtaxKRXdSAlvYeAMDe0+VYOXsaYsK8h7xvOKsjU5DfVAgA0Oq1OFJxHNfHrbWoTSIiIhoZ\ngRMObUJfV8dvQ/u8dGIrKtqqAABxPtF4avEjVmn3HztykZldJcfP3b8YsWE+Vmnb2oKDDX8wT7XP\nxam8Wvz5sxw5jpvmjWfvXQyFYuwz2rU6LZ4/+j/yUDhfFx/8OuVnVptHM56m6ueChsbPBQ2Enwsa\nSO/nYlyXieGwJbKpTk0nKtuq5TjeN9Yq7ao6enDsYo0cJ0b4TtjCYSpbJAZjbkKgHBdXqXDwXMUQ\ndwxPqVBiVcQKOW7pacW5upwh7iAiIiJrYfFANnW5pRR6GHu34v1irdLuwXOVZpvCrV0caZV2yboE\nQcDd1ybBxcn4v5qPDl5GS1v3EHcNLyV8KZwUxlGXB8uzLGqPiIiIRobFA9nU5ZYSszjeN8biNrU6\nHfafNX577e/tioVJwRa3S7YR7OeOG1fGynFntwYf7C+0qE0vF08sDpkvx0UtxShXVVrUJhEREQ2P\nxQPZ1OXmEvl1sHsgfFwsmywLAOcKGtCkMn5znbEgAk5KfpQnsnVLozEt0EOOj12swaWSRovaTI+6\netlW9j4QERHZGldbIpvR6rQoaS2VY2vNdzAdM69UCFg1L7zfNVlZmWhoMGxMFhgYiJSU1EHbG821\nw8nKykRWViYkKQ8AIIrJSElJhZ+fB+rr69HS0mnxMwZ77lDvwVrvcaztOCkVuG+diP9596x87F/f\n5uNXDyyFs9PYCr9o70jE+cSguNWwmtfJmrO4JXEDPJ09hrmTiIiIxopf15LNlLdVokenluMEKxQP\ndc2duFhs/MZ6kRgMn97lWU2Vll5Bbu5F5OZeRGnplX7nx3rtcEpLryA7+zxycrKRk5ON7OzzKC29\nguLiYly4cMEqzxjsuUO9B2u9R0vaEaP9sXJ2mBzXNHZg53HLfherTTaNU+vUOFp10qL2iIiIaGgs\nHshmTPd3AKwzWfrQ+UqYLi68ej43hXMkm9ckwtPN2OH5VdYV1DR1jLm9+SFzzIbCHSrPgk6vG+IO\nIiIisgSLB7KZIpPJ0h5O7gj1sGxSs0arw+HzxkmxYQEeEKP9LGqTxpePhwtuW50gxxqtDtu+zcdY\n95txUjghNXyZHDd0NeFiQ57FeRIREdHAWDyQTej1erPJ0vG+MVAIln3czhbUo7XDOAwqfX44BGFc\n90UhK0ibF46ECOOeHDnFjThbUD/m9lZGLDP7bHHiNBERke2weCCbaOxqQktPqxxbY7L0AZPlWZ2U\nCqycM83iNmn8KQQB914nwrTue39vAXrU2jG15+fqiwXBc+Q4tzEfNe21lqZJREREA2DxQDZR1G9/\nh1iL2qtp7EDulSY5XpIcDC93Z4vaJPuJDvXGmgXGjf3qW7qw83jpEHcMLT1ypVl8sOLomNsiIiKi\nwbF4IJswnSytFJSI8YmyqL1D2eYbgKVzorTDu2VVnFkBuOPYFdQ3d46prXjfGER5GZfsPV51Cl2a\nLotzJCIiInMsHsgmTHeWjvKOgIty7L0EWp0OWTnVcjwt0APTI30tSY8mAE83Z7PJ02qNDu/vG9vO\n04IgYJVJ70OXthvHq89YnCMRERGZY/FAVtep6URlm/GP/XjfGIvau1jciJa2HjlOnTuNE6UnidS5\n0xAbZlxq9Ux+HXKKG8bU1uLQ+fB0Mm4Qd7A8a8yrOBEREdHAWDyQ1RW3lEJvshuDpZvDZWZXya8V\ngoCUWWFDXE2ORCEIuPu6JLNj7+4ugEY7+r0aXJTOSAlfKsc1HbWQmsbWk0FEREQDY/FAVnf56snS\nFmwO19apxrlC4zKec+ID4OvlOub2aOJJCPdF6lzjylnVjR3Yc6p8TG2lRSyHAGOv1IHyIxbnR0RE\nREYsHsjqikwmSwe7B5rtADxaxy5WQ6M19mKY/pFJk8dt6QlwdzXuPP35kWI0qbpH3U6gewDmBM2U\n45z6XDR0NlolRyIiIgKchr+EaOR0eh1KWo1Lblq6RGvmBeOQJS93Z8xLDBrRfWlp6ejsNKzc4+7u\nbrVrR/LcqKhoVFQYvjmPiIhEbGwcAgO90NHRgcbGdoufMdhzh3oP1nqP1vxdmfLxdMEtaXF4b08B\nAKC7R4vtBwrxwxtnjbqt9MgUZNdfBADoocehiqP4TuINVsuViIhoKmPxQFZV1V6DHq1xcnOcBZOl\nS2tUKK1pk+Pls0LhpBxZZ1lEROTwF43h2pG0NVB7wcGG3pe6OpXVnnX1cy05b63nWGLNwggcOl+J\nirp2AMCxizVYPT8CSVF+o2pH9E9EqEcIajoMG8VlVZ7ADXHXwkXpYvWciYiIphoOWyKrKjYZsgQA\ncT7RY27ryIVqsziVO0pPakqFAvdcaz55etvufOh0o1sxSRAEpEemyHGHphOnas5ZJUciIqKpjsUD\nWVWxyZAlF6ULpnmGjqkdjVaHoxeNxUN0iBeiQ8c+d4Icgxjtj6UzQuS4rLYNB89XDnHHwJaFLYSb\n0jixnsu2EhERWQeLB7KqkhZj8RDjHQmlQjmmds4XNqCtUy3HKzlResq4PSMRrs7Gz82nhy6jvUs9\nxB39uTm5Ydm0xXJc3laJoqtWASMiIqLRc8jw6rjEAAAgAElEQVQ5D6IoBgN4DsB3AIQCaAaQCeDX\nkiSNaFtZURRTAPwCwHIA7gDyAbwF4HVJkvgV5Rh0qDtQ3TvOHLBsvsMxk14HpULA8pmj68Ho6OiA\nTqcFACgUSnh4eFjl2pE8t62tDR0dbdDrAU9PL3h5eaGjQwmtVou2NpXFzxjsuUO9B2u9R2v+rgYT\n4OOGDSti8OmhywAMy/V+kVmCO9dOH1U76RErcNBkqdZD5VlI9Iuzaq5ERERTjcMVD6IohgA4DSAQ\nwF8AnAeQBOAxAOtEUVwpSdLZYdpYA2AngDIALwBoBHAzgFcBJAB43Fb5T2YlrWVmcewY5zt0dKlx\nvsi4t8PchEB4e4xususXX3yK0lLD/Ivo6BjcccfdVrl2JM/dseMrFBRIAIDp00Vs2LAR3t5uKCkp\nQXt7t8XPGOy5Q70Ha71Ha/6uhrJuSRQOnatEQ2sXAGDfmXKsXhCOaYGeI24j1DMEMwKSkNuYDwA4\nW3cBzd0t8HP1tUnOREREU4EjDlt6EUAkgHskSXpSkqT/kyTpvwDcC0MPws9G0MafAXQBSJMk6Y+S\nJP1LkqTbAHwO4DFRFOfZKvnJzHS+AwDE+Y6teDgl1Znt7bCCO0pPOS7OSty+JlGOtTo9Ptg3+t2i\nTSdO6/Q6ZFYct0p+REREU5UjFg+VAN4D8OlVx78BoAcwd6ibRVFcBkAE8KEkSVVXnX4dgADgHuuk\nOrWYzncIdAsY8+ZwpkOW3F2VmJcYaHFu5HgWi8FIijT2EmQXNeDC5YZRtTErMBmBbgFynFl5DBqd\nxmo5EhERTTUOVzxIkvSCJEl3DTAvwRuGP/xbh2liae/PowOc6/tacpkFKU5JV28ON9Zeh8bWLkil\nzXK8KCkEzk5jm3RNjk0QBNy5NgmCybH39xZAo9WNuA2FoMCqyBVyrOppw9naC1bMkoiIaGpxuDkP\nQ/hx789tw1wX2/uz/OoTkiSpRFFsBhBvaTJ9m4JNFZWt1ejQdMrx7PDpY/odHM6phmlVuD4lbkzt\neHu7wdPTVX49VBujuXYkz3V1dYJTb8Hj6uoEb283+bynp6vFzxjsuUO9B2u9R2v+rkYiONgba5dG\nY/cJQ2Fa1dCBkwX1uCktYcRt3OiTga+Lv0WP1rBiU1bNcWyYs8om+Y7VVPv/BY0MPxc0EH4uyN4c\nrudhIKIoXg/D6kunYZhEPZS+f3Udg5xvN7mGRii/odgsTgocW/114IyxpgvwccPsxCCL8iLHd++G\nGXB3NX7P8d4uCa3tPUPcYc7L1ROpMUvlOL/hMi43XhniDiIiIhqMw/c8iKJ4H4C/ASgBcKMkSSP/\nq8KG6upU9k5hXGVX5MuvnRRO8NT4jvp3UFHXhuJK46izJcnBaGxoG1M+KlUX2tu75ddD5TKaa0fy\n3O5uDTQaw3Km3d0aqFRdcu9De3u3xc8Y7LlDvYf/z96dx8dV3ff/f82Mdmm0y4tWb9L1bmMbGxsv\n2JgdAoQADpCkzZ406S80SfvlmybNt823bfpNQ9pfyrdtStMGSAiEAAk4rN5XjG28+1q2tVpeZGvf\npZn5/jHynRlZy8gaLaN5Px8PHppz594551wP0nzmnM85oepjKO/VYNy7vICXt5wBvEu3PvvaYZ64\n3Qj6+mUZN7LprG/Z1teOvMenZj8S8nYO1tVvECPt94X0T+8L6Y3eF9Kb0RiJCuuRB8Mwvgv8N97l\nWlf2kgDdm6ufTvta8zGJgfMmpAf/ZOm8pByi7IOPS/ccvxhQvmm2VlkSr/VL8piQGm+Vtxys4lx1\n8IFlrjOb6Sm+PR4+vPQRjR3XF5iKiIhEsrANHgzD+Anw18DvgDWmaV4a4JKrznb/zO3lNVOAFKA4\nJI2MEO2uDs41+eK260mWdns87DnmCx4mZySQPzEpJO2T8BcdZedRv6Vb3R4PL75fjMcT/H6Ot+Td\nbD3ucnexu2pfSNsoIiISCcIyeOgecfj/gJ8DHzdNs6/8hd7s6v55cy/Prer+uWMIzYs45Q0VePzS\nnK9nc7jTlfXWhmAAN82ZhM1m6+cKiTQLCzOZVZBmlY+V1nLodPBLty7InBOwQdy2c7txde+WLSIi\nIsEJu+DBMIy1wP/Cu8/D503T7Pevv2EYMw3DsOYrmKb5EXAAeNgwjFy/82zAk0An3qlQEqRQbA63\n90TPKUsTh9QmGX9sNhufvLUQ/5jyxU3FdHYFt3Srw+5gZfZNVrm2vY4jV06EupkiIiLjWjgmTP+o\n++d7wMcNo9ekyY1+oxEnABOY6ff8V4HNwLbu6U91wAZgHfBd0zTPDEfDxyv/fIeUGCdpsamDut7t\n9rD/pG/W2fTsZLL85reLXJU7IYlbFuaw+eA5AC7VtvL+/kruXBZcwHpzzlL+UPoeLo/3O4etFTtZ\nmDV32NorIiIy3oRj8LCo++e/9HPOVLyrL/XKNM29hmGsxpsz8ddALN4g47Omaf48RO2MCB6PJ2Dk\nYUpKwaCnG5kVdTS0dFrlG2cNfdQhKclJenq69ThU5wZXbwapqd7pNenpGSQlOUlOjicjI4PY2LYh\n19F3vX33IVR9DOW9ul4PrJrK3uMXaWn37hT9+10lrJg7ieTEmAGvTY5xsmjCfPZdPAjAqbozVDVd\nIDtJyfkiIiLBsA0m4VCC5omUpdSutNbyvd1/Z5UfmH43txXcMqjX+MXbJlu6v0kG+NFXV5CeHNfP\nFeFHS+yF1jv7Knjxfd+6BqsXZPNHd83s5wqfkvpyfrT/p1Z5Vc5yNhgPhryNwdD7Qnqj94X0Ru8L\n6U33+2JEk0TDLudBxpbShsDNtgabLO1yu9nvt1DWjNyUcRc4SOitW5TDpPQEq7z9cBXlF4P7gzol\nOY98p2+xtb0X9tPqtzu6iIiI9E3BgwyJ/5Qlu81OfvI1K+D2yyyvo9F/ytLMCSFrm4xfUQ47G271\nLd3q8RD00q02m41bcn2LrXW4Othzfv+wtFNERGS8UfAgQ1LWUGE9zk6cRKxj4Hnn/vb5JUrbgCWG\nggcJzrxpGcydmm6VT5bXcbD4clDXLpown6Ro3z6RWyt34vYEt2qTiIhIJFPwINfN5XZR0ejLVShI\nzhvk9W72m9VWuTA3hTRnbMjaJ+ObzWbj0VsLsfsl6L+06XRQS7dGO6K5OXuZVa5uvcKJGu0NKSIi\nMpBwXG1Jxoiq5ot0urus8pRBBg8ny+poag3tKktXHTy4n9raWgDS0tK44YbFITk3mHo//PADiotN\nPB4bRUVFLFmylLS0RGpqaqiraxlyHX3V218fQtXHUN6rUMjJTGTtDTm8f6ASgEt1wS/duirnJt4t\n32KNOGyt3MmcjF6XfhYREZFuCh7kupX12BxusCMP+076NoazAYuNrFA0CwDTPEl5uTeZOz+/oN8P\nuYM5N5h6t2/fRnGxCcDFixdwOpNxOuMoLS2lubl9yHX0VW9/fQhVH0N5r0Ll/lVT2X3swqCXbk2L\nS2V+5hw+qj4CwPErJpdaLjMhIXPY2ywiIhKuNG1JrltZQ6X1OMYezaSE4PMVulyBU5aK8lJJTdKU\nJRm8pPho7l9pbSJPa7uL17afDeraNbkrrMcePGw/tzvk7RMRERlPFDzIdStr9CVL5zlzcNgdQV97\nsqyW5jbflKcbZylRWq7f2h5Lt249VEXFpaYBrytMnUZ2om+DuN3n99Hu6hiWNoqIiIwHCh7kurS7\nOjjf7Jt2NNgpSx/4r7Jkg8VFoZuyJJEnymHn0XWDX7rVZrOx2m/0obWrjQ8uHBi2doqIiIS7kOc8\nGIaRANwAZAOZQCpQD1QD54GPTNMc+CtBGdMqGs8FLG05mOChy+Xm4CnflCUjL5UUTVmSIZo/PYM5\nU9M5VlIDwImyWj46fZkbCvsPTJdOWsTrZzbS2tUGwLbKXazMXobNNqIbdoqIiISFkAQPhmFEA48B\nnwFW0f+IhtswjO3AL4BfmqapOQJhqNxvfwcY3EpL10xZ0sZwEgI2m40N62bwvf/8gKsDDr/edJp5\n0zKIcvT9KynWEcPyyTeyqWI7AFXNFyiuO0tR2vSRaLaIiEhYGfK0JcMwPgmcBv4TuAVoBXYCLwP/\nF/g74Jnu8g6gpfu8Z4HThmE8NtQ2yMgr9QseEqMTyIhL7+fsQPv9Rh1swCJNWZIQyclK4pYbcqzy\npVrv0q0DWZWzHBu+kYatlbuGpX0iIiLh7rpHHgzDcAL/BTyAN2D4D+AFYLtpmn1ONDYMwwasAJ7o\n/u85wzAeAv7INM3G622PjCz/naULnHlBT/Fwuz0BuwDPyE3RlCUJqQdWTmXPsYu0di/d+rudpSyf\nO4nkhL6Xbp2QkMnsDINjV04CcPjyMWrb6kiLSx2RNouIiISLoYw87AXuxzu6MNU0zS+Zprmtv8AB\nwDRNj2maO03T/AowBe+oxP2A1kgME02dzVxuq7HKBcm5QV97+lw9Dc2+mWpKlJZQcybEcP/NU6xy\na3sXr20vGfA6/2Vb3R4328/tGY7miYiIhLWhBA9OYLVpml8zTb8F+wfBNM0rpml+HVgDpAyhLTKC\n/Pd3gMElSx84FfhW0ZQlGQ7rFucy0X/p1o/OUTnA0q2z0ovIis+wyjur9tLp6uznChERkcgzlOBh\niWma1zUx2DCMRP+yaZo7gSVDaIuMoJ7J0sEGDx6PJyB4yJ+YRGZqfEjbJgK9L936qwGWbrXb7AHL\ntjZ1NnPg0uFhbaeIiEi4ue7gwTTNi/5lwzBeMgxjwKxZwzDWANf8Re75ejJ2+SdLp8WmkhzjDOq6\n8otNXK5vs8qasiTDacH0DOZMSbPKJ8pqOXT6Sr/X3DRpCTEOX26EEqdFREQChXKfh08AqwzD+LJp\nmq/3fNIwjDjg74GvAf3v3CRjlsfjCdhZejBTlvb3nLJkDN8SrUuWLGXWrNkAJCYmhezcYOpNSnJS\nWnoWgClTpjFz5izS0xOZN28etbXNQ66jr3r760Oo+hjKezXcbDYbj95ayF8FLN1azNxp6X0u3ZoQ\nHc/SSYvY0Z3vUNZYQUl9OVNT8keq2SIiImNaKIOHbwN/BfzWMIzngT81TbMewDCMm/CuzFQEHAW+\nEMJ6ZQTVttfR2OGbOz6Y/R38N4ablJ5AdkZCP2cPzYwZhcNybjCv1dvrZWV5R2eqq4dnQbGB+hCq\nPobyXo2E3KwkblmYw+aD5wC4WNvKpv2V3L6072BgTc4KK3gA7+iDggcRERGvIe/zcJVpmv8IzAZe\nBz4FHDEM4z7DMP4e2A7kA38JLDJNc2+o6pWRdW2ydHArLZ2/0sy5y81WeVFRlnbwlRFx/6qpxMf6\nvid5fWcpjS19702ZnTSJolTfBnEHLh2ioUOrSIuIiEAIgwcA0zQrTdP8OHAf0AW8hndEYhsw3zTN\nvzVNs6u/15CxzX9/Bxs28pzBBQ89V1labCjfQUZGckIMH+u5dOuO/pduXZN3s/XY5XGx89wHw9U8\nERGRsBLS4MFPE9CBdwNhG95N5FqHqS4ZQf7Bw8SELOKj4oK67sAp38Zwac5YpkwKLslaJBRuXZzL\nhDTfyl5bDp6jsrrvpVvnZcwiLda3Qdz2c7txuV3D2kYREZFwENLgwTCMDMMwfg5sAtKAx4F/Bu4C\njhuG8SehrE9GltvjprzRN20p2GTpmoY2Ss43WGVNWZKR1tvSrb/uZ+lWh93BqpybrHJ9RwOHLh8b\n9naKiIiMdSFLmDYM44+BfwAy8OY9fMk0zUvArwzDeAX4OfDPhmF8EviCaZonQlW3jIxLLdW0udqt\ncrDBwzVTlkZgidYXX3yB8vIyAPLzC9iw4fGQnBtMvRs3vkFxsQlAYaHB3Xffi9MZR2lpKc3N7UOu\no696++tDqPoYyns10hbOyGRWQRonymoBOFZay6EzV1g4I7PX81dkL2Vj6Xt0ub0zLbdU7GTRhPkj\n1l4REZGxKJQjD88CDuAzpmk+2B04AGCa5nZgHvAMsBw4EMJ6ZYSU9tgcLtiVlvyDh6T4aArztJm4\njDybzcaGWwvxH/T69abTdLncvZ7vjEli8YQFVvlMfQmVjVXD3UwREZExLZTBw9vAPNM0n+vtSdM0\nW03T/DpwK6C/wGHIf6Ulh81BdtLkAa9pau3kVEW9VV5YmInDPlypNiL9y5uQxJoF2Vb5Yk0Lmw6c\n6/P8W3JvDihr0zgREYl01/0pzjACd/gyTfMu0zT7/ivsO28L3lGIfl9Pxh7/ZOncpGyi7QPPejty\n5gpuv3nliwq1ypKMrgdWTyM+1mGVf7ejpM+lW/OTc5ma7NvjYd/FgzR3tgx7G0VERMaqoXwF/KFh\nGMuv50LTNAP++hqGsQLYN4S2yDDrdHdR2eQbMAo23+Hgad8qSzFRdmZNSQt520QGIzkhhvtWTLXK\nLe1dvN7P0q1r/EYfOt2d7D6vX1UiIhK5hhI8NAPbDMP4J8MwMq7nBQzDSDcM4yfAVrzLu8oYVdV0\nHpfHt1RlMJvDdXa5OXr2ilWePSWd2GhHP1eIjIz1S3ou3VrFuT6Wbr1hwjycMUlWeVvlbtye3vMk\nRERExruhBA/LgDeArwMlhmE8YxjGesMw+l343zCMWMMw1hmG8S9AKfCnwJvAiiG0RYbZ9SRLmxW1\ntHX4Ao6Fhb2vaiMy0qIcdh5d61u61e3x8OKm070u3Rplj2Jltm/Z1ittNRy5rMXiREQkMl33Uq2m\naTYADxqG8QTw98CXgS8BHYZhfAhUAJeBOiAFyAJygBuBWLybx1UBf9JXkrWMHf75DnGOWCYkDJy7\n8FGxb8qSDVjQx5KYIqNhYWGPpVtLajhy9grzp1/7Pl2Zs4x3yjZbo2+bKraxIGvOiLZXRERkLBjy\nsjemaT4PTAe+COwGooGbgQ3A14C/xDs6sQFYhTdw2I030JihwCE8VDT6cuHznDnYbf2/dTweDx/5\n5TtMy0kmJTFm2NonMli9Ld364vu9L92aGpvC4om+ZVtP15UEBNQiIiKR4rpHHgzDyAaaTNNsME2z\n3TCMd4Bf4/2SeREwGe+GcSlAA95RiAvAAdM06/t4WRmD2l0dnG++aJXznQPnO5RfbKKmwbehXF8b\ncYmMprwJSaxekM3Wj7yLAVyoaWHzwXPctuTaaXnr8lbxwQXfFjWbKrbzx3MeG7G2ioiIjAVD2WH6\nBPB3eKcsAZQA3zJN82lgyxDbJWPIuaYqPPjmguc7cwa8xn/UAWChlmiVMerBVdPYe/yilZ/zux0l\nLJ8ziaT46IDz8pw5FKVO51TdGQAOXDrMA9PvJi0udcTbLCIiMlqGMm0pDijyK9u6/5NxprwhcPuO\nvCBWWvLPd5iQGk92RkLI2yUSCsmJMdx38xSr3NzWxevbe1+69db81dZjt8fNlsqdw908ERGRMWWo\nIw+fMQxjMXB1Pc6vGIZxbxDXekzTvHUIdcsIKm/07Swd54gjK77/lXlrGtoou9holRcWZmKzjWxc\n6XA4iImJsR6H6txg6o2OjiY62vutdXR0NA6Hg6ioKGJiYujs9Ay5jr7q7a8PoepjKO/VWLJ+cR5b\nDp6juq4NgM0Hz3HLohxyMhMDzpudYTAxIYuLLdUA7Kzay11TbiUuqt9F5kRERMYNW29LEwaje2O3\nl4Ds7kMegh958JimOX4+eVzLU13dOPBZYeIHe//RynkoTJ3GNxZ9ud/zNx+o5Ll3Tlnlv3jsBoz8\nyN4cLivLCcB4el+MN/vNav7l1SNWee60dD62KJHNm9+jsbERp9PJ2rXrOR9/hRfN31rnfaLwY6zN\nW3lddep9Ib3R+0J6o/eF9Kb7fTGi39AOZanWXYZh5AETgHjgLPC/gf8IUdtkDGh3dXCh+ZJVDiZZ\n2n9X6cS4KGbkpgxL20RCaVFRJjPzUzlZXgfA0bM1PPujb1BdeiDgvFVrbyH/S/PooBOAzRU7WJO7\nYsAVyERERMaDoUxbwjRND3ARwDCMrcBh0zTLQtEwGRsGmyzd2t7Fye518wHmT8/AYdeHKhn7ri7d\n+v2ff8DVL3Fmr/ljtpUfwuP2bXa4ffMW5k1oYeaDiwDvpnGHqo9xw4R5o9FsERGRERWyT3Wmaa41\nTfPlUL2ejA1lDZUB5fwBkqWPldTQ5fIFG1plScJJefFByo+8Z5WdGXkUzL/zmvNOvXUEV6cvoNhU\nsW1E2iciIjLa9JWw9Mt/c7g4RxyZAyRLH/RbZclhtzF3avqwtU0k1J5++v9wcufzdLa3WMeKVmwg\nOi4p4Lz2+lbKdxZb5bP1ZZTUa9BVRETGvyFNW5Lxz3+lpTxndr/zul1uN4fP+IKHWQVpxMeOzlvs\nxInjNDZ6k8qcTiezZs0OybnB1Hv06GHOnDmDzQbTpk1n7tz5XLyYSENDA7W1LUOuo696++tDqPoY\nyns11hQXn2L79q0AnN77MrNWfwaAmDgnRTc9yrEtzwacf+rNw0y9ZaZV3lSxnc+lFIxcg0VEREaB\nggfp0zXJ0gNMWTpdWU9zW5dVXlg4ertKHzp0kPJy7zfB+fkF/X7IHcy5wdS7ceMbFBebABQWGrhc\nLpzOOEpLS2lubh9yHX3V218fQtXHUN6rsWbLlvetxyUHf0/+/DtITJ0EQMHCuyk7/DZNNb5guqGi\nhguHK5g037sb9cFLR7jSWkNGvEbbRERk/NK0JelTZWPPZOn+g4fDZ68ElBdMH73gQWSwro6oALhd\nXZzY9l9W2W53MHvNH19zzak3D1uPPXi0aZyIiIx7Ch6kT/5TlmDglZYOn/EFD7lZiWSkaOMsCR9O\npzOgfOH0Hq5UHLXKE6YuJmvKooBzLh6qIK4j2irvqvqA1q7W4W2oiIjIKFLwIH0aTLL0lfo2zlU3\nW+V50/tPrBYZa9auXX/NsWNbnsXjcVvl2Wv+GJvdt7+lzWZj1aSbrHKbq51dVfuGt6EiIiKjSMGD\n9Ml/5CHfmdNvsrR/ojRoypKEnxkzClm1ak3AsYbqEiqO+nIhnBl5FCzwLd26cuUa7pl3J0nRidax\nzRU7cPntCyEiIjKehHXCtGEYMcAPgG8B20zTvCXI6zwDnJJmmmbdEJsX1nomS+clBz9lKSE2iuk5\nycPWNpHh8uST32bXrh24XL4P/+bOF5hcdDPRsQkAGMsfo+rkDlwdTTz55LeIdkSzOncFG0veBaC2\nvY6Dlw6zZNINo9IHERGR4RS2Iw+GYRjAbuArXN0OdnCOAw/38V9zP9dFhMEkS3d0ujjht6v03Gnp\n2lVawtLKlav58Y//fxwO39Sk9pY6ive+ZJWj4xKZtfrTPP30T1m5cjUAq3OWE233fRfzXvlWPJ6B\nvqMQEREJP2E58mAYRhpwACgGlgAnr+Nlqk3T/E1IGzaODCZZ+mR5HR1dvnnh85XvIGHsk598gry8\nfJ5++kds374FgJIDb5A/dz1J6d4gOm/Ordy4erF1jTMmiWWTl7Dj3B4AKpqqMGtPMzO9cMTbLyIi\nMpzC9evhGOAXwE2maZqj3ZjxyD94iI/qP1n6iN+UJRswd5qCBwlvK1eu5pVXfsd3vvNXrFu3nptX\nrCCt81TAOc+/cwq32ze6cGveamx+g6Dvlm0ZqeaKiIiMmLAceTBN8yLe6UpDZhiGDUgwTTPipyr5\nK/dbaSkvqe9kaY/HwyG/ZOlp2ckkJ8QMe/tERsLEiZNYtGgJ4N0U70pMFvtPVQNQdqGR7YerWLPQ\nOyo3ISGThVlzOVh9BICTtcWUN1YOuD+KiIhIOAnL4CFEMg3D+AXwcSDRMIxG4DXgKdM0z/V/6cCy\nspwDnzRGtXW1c7HFlyxtTJzaZ38qLjZyub7NKt80P3tM9N3pjCMxMdZ63F+bBnNuMPXGxkYRFeWd\nMx8bG4XT6dvvIjExdsh19FVvf30IVR9Dea/CQc/+PvqxhXzlh+9b0/R+u62EO26ehrM7YH54wd0c\nfO+Idf32i7v4xrTPDVjPeL+Pcn30vpDe6H0hoy1cpy2Fwuzun0/gTZJ+FfgUsNswjIheZ7S0tjIg\n2XNaen6f53544mJAecmsicPWLpHRNiE9gYfXF1nlxpYOnvvDCas8I2MKcyb4nt9dsZ9LTYHLGIuI\niISzSB15uAtvwvR+v2O/MQyjAvgO8E3gqaFUUF3dOJTLR9XhisC53amezD77s+uQb5AmJSmG5Bj7\nmOh7fn4hqakTAEhOTum3TYM5N5h6V6++lZwcb8A1fXoh+fmFpKcnMmXKFOrqWoZcR1/19teHUPUx\nlPcqHPTW39VzJ/LOnlKq67wjbm/tKmVpURYFk7zfBq6ZvIpjl7z/D3k8Hl4+9AceKXqg19e/+g3i\neL+PMjh6X0hv9L6Q3ozGSFREBg+mab7Vx1PP4A0e1jPE4CGc9UyWzuojWbqlrYviynqrPG9aBjbb\n9ayaG3rz5s0flnODea3eXm+4f+kP1IdQ9TGU9yoc9Nbf6CgHn7y1iH9+5TAAHuD5d02eemIxdpuN\n2elFZCdOoqr5AgC7qvZx95TbSIpJvOa1REREwk0kT1vqTTXezwIRvcNZz2TpvgKC46U1uPxWm1mg\nJVolQiwszAxYkvjMuQZ2H/UGCzabjdsKbrGe63R3svXcrpFuooiIyLCIuODBMIx5hmF8yTCM3iby\nF+JdbbR8hJs1ZrR1tXPRb2fp/OS+V4rx31XaYbcxe0r6sLZNZCz55PpCohy+wPrlLWdoaesCYPGE\nBaTFplrPba3cSburY8TbKCIiEmrjPngwDGOmYRhT/Q7NBf4V+F4vp1+dqvTbYW/YGFXZ1HNn6d43\nh3N7PBw+6wseivJSiY+NyFlwEqEmpiVw5zLfdxANzR38bmcJAA67g1vzV1vPNXe2sPv8vhFvo4iI\nSKiF5ac9wzBm41st6aoswzA+4VfeaJpmC3ACMIGZ3cdfBj4LfK57VaWNgAPvkq3rgfeAnw1j88e0\nisbAVWrz+lijvuxCIw3Nvm9Stau0RKJ7bprCrqMXqGloB+C9DytZOX8yuVlJLJ98IxtL3qWlqxWA\nTeXbWJV9Ew67YzSbLCIiMiRhGTwAj8hFSasAACAASURBVAB/1ePYbLyBwVVTgdKeF5qm2WUYxn3A\n1/AGEXcCbuAU8G3gn0zT7BqGNoeFYJOl/XeVhrEXPLz22itUVVUBkJ2dzQMPPBSSc4Op95133uLU\nqZOAjaIig9tvv5Pk5HgqKytpamofch191dtfH0LVx1Deq3AwUH9jYxxsWFfIM68dBbwjcs+/bfIX\njy8iLiqW1bkreKv0fQCutNVysPoISyYuHNlOiIiIhFBYBg+maX4f+H6Q516T7WuaZhvwo+7/xE95\ngy94yHPm9pksfcgveMhKjWNSesKwt20w2traaGpqtB6H6tzg6m2iudm7YXlTUxNtbW1ER0NjYyPN\nze1DrqPvevvuQ6j6GMp7FQ6C6e9iI4tZBWmcKKsF4FRlPTuPXGDl/Mncknsz75Vvpcvt/T7i3bIt\nLJ6wYMysSiYiIjJY4z7nQYLn3Vm62ir3le/Q0NxB6fkGqzx/eqY+DEnEstlsPHF7UUDy9EubT9PU\n2okzJombJi+xjlc2VXG8xhyNZoqIiISEggexBJssfeTsFb+ztESryOSMRO5aVmCVm1o7+c2WMwCs\nz1uDDV9g8VbppoAd3EVERMKJggexBJss7b9Ea0y0HSM/tdfzRCLJPcsLyEqNs8rbDlVxurKerISM\ngDyHs/WlnK4rGY0mioiIDJmCB7GUNQycLN3lcnO0pMYqzy5IJzpKq8eIxEQ7eOJ2I+DYL942cbnd\n3F6wNuD422WbRrJpIiIiIaPgQSwVjQMnS585V09ru28xqrG2ypLIaJo3LYMlMydY5crqJt77sJLs\npEksyJxjHT9Rc4qyhorRaKKIiMiQKHgQIPhk6cNjfIlWkdH2yVsLiY3xjca9tr2EmoY27piyLuC8\nt8s2j3TTREREhkzBgwC9JUsPnO+Qm5VIenJcr+eJRKo0ZywPrppmlds7XfzqvWIKkvOYlV5kHT9U\nfZSK+qrRaKKIiMh1U/AgQODmcNB78HC5vpVzl5ut8vzpmcPeLpFwdOviHPInJFnl/aeqOXT6Mnf0\nyH149cTbI900ERGRIVHwIACUN/hWWoqPiiczPv2ac8b6rtIiY4XDbudTdxr4Zw298O4p8hILmJYy\nxTq2s3wfF5uqr7leRERkrFLwIEDPZOmcXpOl/XeVToyLYnpO8oi0TSQcTc9OYc0Nvtyhy/VtvLm7\njDv9ch88Hg+vn3hnNJonIiJyXRQ8CG1dbQHJ0gW9TFnq6HRxsqzWKs+Zmo7DrrePSH8eWjON5IRo\nq/zW3nKSu3LIS8q2jm0p3UNde/1oNE9ERGTQbNrpdFh4qqsbR7sNQTtdV8LTB/6vVf7snMdZPHFB\nwDmHz1zhJy8fsspfuHc2y+dOGrE2DlZnZydutxsAu91OdHR0SM4Npt729nba29sBiI2NJTY2lqws\nJ263m+rqxiHX0Ve9/fUhVH0M5b0KB6Ho7+6jF/jZG8et8rTsZO66PZr/PP6CdWxd3ioeKrxv6A2W\ncSErywlAOP0dkeGn94X0pvt9ce10kWEUNZKVydgUTLL04TOXrcc2YM60a3MixpLBfMgL5Qfg6Oho\noqOjSUpKuuY4QGxsR8jq6u31r/f5UNUz3oSivzfNmciuo+c5VuoduTtb1cCVihlMTJjAxZZLAOw4\nt4c7CtaRFJM45PpERESGk+adyIDJ0h6PJ2CJ1mnZySQnxIxY+0TCmc1m41N3ziQmyvfr9tVtJayY\ncLNV7nB3sqli+2g0T0REZFAUPEjAyEN+L8nS56+0cLm+zSprlSWRwZmQGs8DPfZ+OLI/jqxE3/9L\nWyt30tzZMhrNExERCZqChwjX1tXGpYCdpXubstRziVbt7yAyWLfdmEvBJKdVPnKmljmJS61ym6td\now8iIjLmKechwlU2nQ/YWTrPmXPNOf75DilJMeRPTLrmnLGmtLSElhbvt7gJCQlMmTI1JOcGU+/p\n08WUl5cBkJ9fwIwZhTQ2JtHc3ExNTfOQ6+ir3v76EKo+hvJehYNQ9tdht/NHd87kb/77Q9zdC1Xs\n3OIgfVEqNW11AGyp2MG6vFUkRicMvfEiIiLDQMFDhCtvqAgo9xx5aGnrorjSt4zk/GkZve4BMdbs\n2bMr4AN8fx/6BnNuMPVu3PgGxcUmAIWFBnfffS9OZxylpaU0N7cPuY6+6u2vD6HqYyjvVTgIdX8L\nJjm5Y2kef9hbDkBDUxd5LXOpse8AvKMPmyu2c++0O4bWcBERkWGiaUsRrryx/2Tp46U1uNy+kQnl\nO4gMzcdWTmVCarxVPrY/gSSHb8PFzRXKfRARkbFLwUOE8w8eekuWPuQ3ZclhtzF7ytheolVkrIuN\ndvDpOw3fAY+dzirfiEabq43Nyn0QEZExSsFDBBsoWdrt8XDEL1m6KC+V+FjNdBMZqtlT0lk5b7JV\nriufSKzHt8fD5oqdtGj0QURExiAFDxGsorEqIFk6PzkweCi70EhDS6dV1pQlkdB5ZN0MUpNivQWP\nnaayAuu5Nlcbmyp2jFLLRERE+qbgIYJVXLOzdOBKS9cu0argQSRUkuKj+fLH51vlrupcbJ2+XIjN\nFTs0+iAiImOOgocI5p/vkBAVT0ZcYD6D/xKtE1LjmZSu5SNFQunmBdncvCDbW/DYaT/XM/dBow8i\nIjK2KHiIYP7BQ16PZOn65g5Kzjda5fnTw2OJVpFw8+UH55MUHw2AqzoXT3uc9dzmyh20dLaOVtNE\nRESuoeAhQg2ULH30rKYsiYyEVGcsn7qje/Ulj53O89Os51q72rTrtIiIjCkKHiLUQMnSh/zyHWKi\n7Rj5qSPWNpFIc+PMCSyZOQHoHn3oiLWe21yxnabO5tFqmoiISAAFDxGqv2TpLpebYyU1Vnl2QTrR\nUY4Ra5tIJHritiLv9CWPnc6q6dbxNlc775ZtGb2GiYiI+FHwEKHK/IKHnsnSZ87V09reZZU1ZUlk\n+CUnxljTl1zVubjbfCsvba3cRV17/Wg1TURExKIdvyJURcDO0rkBydCHxsESrdOmzSAtzRsQXf0Z\ninODqffGG5eRkpIC2CgqMrpfP4GMjAzq61uHXEdf9fbXh1D1MZT3KhyMdH9vnDmBfTMn8OHJS3Sd\nm0HM9CMAdLo7ebt0E48aDw57G0RERPqj4CECeZOlfcuw5vWzv0NuVhLpyXGEm6VLlw3LucG8Vm+v\nl5XlBKC6uvGa50JV71CeD1U9481o9PeJ24o4WVZL05Vs3Nlnscd78x12Vn3A+vw1ZMSP/6BNRETG\nLk1bikD9JUtfrmul6rIvOTMcRx1Ewplv+pKNzspC67jL42JjyXuj1zAREREUPESk8n6SpcfDlCWR\ncHfjzAksnTUBd+1E3M3J1vG9F/ZzofnSKLZMREQinYKHCFTeT7K0/5SlxLgopuckIyIj74nbDdKc\ncQGjDx48vFHyzii2SkREIp2ChwjkHzz4J0u3d7o4WV5rPTd3WgYOu94iIqMhKT6az949C3d9Jq5G\n3z4rBy8dDljwQEREZCQpYTrCtPZIlvbPdzhRVktnl9sqLwjjKUtvv/0HLlw4D8CkSZO54467QnJu\nMPVu2vQuJ0+eAGDmzFmsW3cbKSnxVFVV0djYNuQ6+qq3vz6Eqo+hvFfhYLT7O2dqOusX57HpVC2O\nWR9Yx39/9m2+uuCzI9oWERERUPAQcXp+Y+m/0pL/lCWbzTvyEK5qa2u4ePECALGxsSE7N5h6z58/\nz6VLFwFISUmltraGrq44zp8/T3Nz+5Dr6Kve/voQqj6G8l6Fg7HQ30/cMp1jpTVcqT+DI8X7/+ix\nKyc5W1/GtJSCUWmTiIhELs1JiTA9k6ULnN6RB4/Hw+EzvhGJ6Tkp3t1uRWRUxUQ7+OJ9c3BXFQUc\nf/nkG3g8nj6uEhERGR4KHiKM/8hDYlQC6XFpAJyrbqamod16LpynLImMNwWTnNy/6AZcNROsY+XN\nZRyuPj6KrRIRkUik4CHClDf4JUsn+5KlD/mNOgDMn545ou0Skf7dtayAyV2L8B9seOHo73C5XaPX\nKBERiTgKHiJIa1crl1p731naP98hzRlLblbiiLZNRPpnt9v46p3L4UqedayZWl47um0UWyUiIpFG\nwUME6ZksfTXfoam1k9Pn6q3jC6ZnWCMSIjJ2ZKXG83HjTjwu36/uTec3c7mxaRRbJSIikUTBQwQp\nv2alJW/wcPTslYCpEJqyJDJ2rV9QyCT3XN+B6Db+eevrSp4WEZERoeAhgvjnOyRFJ5Ie5914yn/K\nUpTDzqyCtBFvm4gE709XPYCtK8YqX449yhsfnBrFFomISKRQ8BBB/JdpzXPmYLPZcLs9HDnrCx5m\nFaQRG+MYjeaJSJBSE5JYl7vWKtscLt48+x6lFxpGsVUiIhIJFDxEiJbOVqpbfUHC1XyHM1X1NLd1\nWcfna4lWkbDwsZlrSLSlWGV7VjnPvPkBre1d/VwlIiIyNAoeIsQ1O0sne4MH/ylLoP0dRMJFlD2K\nR2ffY5Vtdg/1yYd5/h1NXxIRkeETNdoNGArDMGKAHwDfAraZpnnLIK5dAXwXuAmIB04BPwN+aprm\nuMs87Gtn6UOnfcFDdmYimanxI9ouEbl+iyYs4J3SrVQ2e78ciMq4wJ5jJjMPpbJqQfYot05ERMaj\nsA0eDMMwgF8CRcCg1hU1DGMd8AegAvg+UAPcD/wzMB34RijbOhb4Bw9J0YmkxqZQ09BGZbVvicfx\nNGXp7rvvpavLO30jKqr/t/lgzg2m3uXLb6aurhaA1NQ00tLSyMx00tXVxeXLjUOuo696++tDqPoY\nynsVDsZ6f202G58oupefHPw361h03kmefzeVgklO8ic6R7F1IiIyHo29v4ZBMAwjDTgAFANLgJOD\nfIlngDZglWma57uPPWcYxmvAnxqG8XPTNA+FrMFjgP8yrVd3lh7PU5aSk1MGPuk6zg3mtZKTUygo\nmBJwPCXF+yHO7Y7p5arQ1DuU50NVz3gTDv0tTJvO3IxZHL1yAgBHci3tzvM88+pRvvdHN5IQF5a/\n5kVEZIwK15yHGOAXwE2maZqDudAwjGWAAbzkFzhc9VO8oxhPhKSVY0RLZwuX/ZKl853X5jvEx0Yx\nPWfsf1ASkWs9OOMe7H6/zqPzTC7VN/Hsm8e1/4OIiIRUWAYPpmleNE3zK6Zptl3H5Uu7f+7u5bm9\n3T+XXV/Lxqaem8PlO3Pp7HJxvKzGOjZ3ajpRjrB8O4hEvEmJE1idu9wq2+NaiZpUxsHiy7z9QcUo\ntkxERMabSBzPntL9s7LnE6ZpNhqGUQdMG2olWVljZ67xzsvVAeUbphiUlrfT0em2jq28IWdMtXm8\n0j2W3oTiffHp5AfZd+kgzR0tAERln6Hrcg6/2XqGRbMnMWfa+JmWGCn0+0J6o/eFjLZIDB6u/l/X\n0sfzzX7njAtna8utxylxyaTHp/Ly8SPWMZsNFs+cOBpNGzYXLlygrc07MBUXF8ekSZNCcm4w9VZU\nVFBVVQVAdnY2eXl5ACGro696+3v9UPUxlPcqHIRTf5NiE3lkzr38/OBLgHfjuOicYjpL5/IPz+3j\nJ392C2nOuFFupYiIhLtIDB5GRHV142g3wVJcXWo9zk3Mprq6kT1Hqqxj0yYn09HaQXVrxyi0bni8\n/PJrlJeXAZCfX8CGDY+H5Nxg6t248Q2Ki72pOIWFBnfffS9OZxylpaU0N7cPuY6+6u2vD6HqYyjv\nVTgY7v5e/QYxVL8vbki5gT8kbOFCyyUAHFmVdF3Kp6YhmR88u5dvbVio6YlhINTvCxkf9L6Q3ozG\nSFQk/hVp6P6Z2MfzSX7nhL3mzhautPlyG/KduVRWN3Olod06tmBG5mg0TURCzGF38PHC+6yyzQbR\n+ScAD6cq6vj1+6dHr3EiIjIuRGLwcLb7Z27PJwzDSAFS8C4BOy703Bwu35nDR8WBORALCxU8iIwX\nczIMZmcYVtmRXIs97SIA7x+oZPuhqr4uFRERGVAkBg+7un/e3Mtzq7p/7hihtgy7ioYeKy0l5/LR\n6ctWOTMljpzMvgZhRCQcPTTjXuy2wKVbsbkAeO4dkzPn6keraSIiEubGffBgGMZMwzCmXi2bpvkR\n3g3mHjYMI9fvPBvwJNAJ/PeIN3SYlPmNPCTHOHG3x1Jy3jdfcmFhJjbboDboFpExblLiRFbn9Fi6\ndXIJAF0uDz999Qi1je19XS4iItKnsEyYNgxjNjC7x+EswzA+4VfeaJpmC3ACMIGZfs99FdgMbDMM\n4ydAHbABWAd81zTNM8PW+BFW4Rc85DtzOHw2cFfpG5TvIDIu3T31NvZdPEhzp3dhuZicElyXs/F0\nJFDf1MEzrx7hzx9bRHTUuP8OSUREQihc/2o8Arzs9x94gwn/YxP6utg0zb3AauAk8NfAvwGTgM+a\npvmD4Wv2yGrqbOZKW61Vznfm8lGxb8pSfGwUhXmpo9E0ERlmidEJ3D/tLqvssblIKvSlc52pauC5\nd0ztQC0iIoMSliMPpml+H/h+kOf2OifHNM0PgbtD16qxp2e+w+T4bF4v9QUP86ZpV2mR8Wx59o3s\nrPqAskbvLtNdieeJz8yj9XI6ADsOnyc7I5E7l+WPZjNFRCSM6JPjONZzpaXmukS6XL5dpbXKksj4\nZrfZedR4ABu+71CSi05h606eBnh582kOnqru7XIREZFrKHgYx/yDh5QYJ8Vn26yyw25j3rSM0WiW\niIygguQ8VmQvtcoNXXUsWOHbysYD/Nvvj1F2QRtPiYjIwBQ8jGPljb5pS3nOXA6d8U1ZKspLJTEu\nejSaJSIj7GPT7yQxKsEqn3Ud4KaFyVa5o9PNP/3mkFZgEhGRASl4GKcaO5qo8UuWTiKTxpZOq7xQ\nqyyJRIyk6ETum36nVe50d+LJPsbsKWnWsbqmDv7pN4do6+gajSaKiEiYCMuEaRlYWUNFQLm5JnAj\nuAXjPN9h8uRsoqO9IyuZmVkhOzeYeouKDDweN2CjqMhg8uRsUlMTiImJoaGhdch19FVvf30IVR9D\nea/CwXjq783ZS9lVtdcakTx8+RifW7OY2sYEzl/xLudafrGJf//dcb728XnY7dr/RURErmXTMn3D\nwlNdPbrzh98seZeNJe9a5eSSe7hY7U2SzMlM5G8+v2y0mhaRsrKcAIz2+0LGlpF+X5TUl/Oj/T+1\nyhlxaXzR+Cr/8Pxhmlp9I5O3LsrlsdsKtYHkKNHvC+mN3hfSm+73xYj+sta0pXHKf+QhJSbFChxA\nqyyJRKqpKfncnO374uBKWy37anfw9YfmEeXw/e15/0AlG/eUjUYTRURkjFPwMA55PJ6A4CHBFTjd\nQvkOIpHrgel34YxJssqbKrYTl9LC5+6ZHXDeK1vPsuPw+ZFunoiIjHEKHsahmrY6mjqbrbJ/vkNK\nYgxTs5N7u0xEIkBCdAKfKPyYVXZ73Pzq5CvcOCuLDetmBJz7X384yeEzV0a6iSIiMoYpeBiHru4m\ne1V1Vaz1+IaiLOyaxywS0RZPWMDsdMMqlzVWsK1yN7cvzefOpb7dpt0eD8+8doSzVQ29vYyIiEQg\nrbY0DvVcacnd7BtpWFwU3ivGBGvr1s1cvuzdNTczM4s1a9aG5Nxg6t2+fSumeQKwYRgzWbVqDamp\nCVy6dMlabWkodfRVb399CFUfQ3mvwsF47a/NZuNR40F+sPcf6XR7E6V/d/YPLMiawyfWTqeuuZ09\nxy4C3j0gfvLyIf7npxYzKT2B06eL2bz5PRobG3E6naxdu54ZMwpHszsiIjKCFDyMQ/7BQ3RXMq1u\n7z9zQmwURn7qaDVrRJ0/X0V5uTfhs7OzM2TnBlPvqVMmp08XA94PaTNmFNLUFEdpaSnNze1DrqOv\nevvrQ6j6GMp7FQ7Gc38z49O5d9rtvHr6TQDaXR28fOp1vjj/M3z27lk0NndwrNS7V0xTayf/+7/3\ncP6D/2Db+29c81qrVq3hySe/zcqVq0e0DyIiMvI0bWmccXvclDdWWuW2Oqf1eMGMTKIc+icXEa+1\nuSvJTcq2yocuH+Oj6qNEOex89cF5FEz0/f5obgd7/l3EJlz7BcT27Vt5+OH7efHFF0ak3SIiMnr0\nSXKcudB8iXZXh1V2NaVYjxcbkTFlSUSC47A7eGzmQ9j8lgh/yXyVls4W4mOj+MYjC0iO952flJbD\nsk/8L6LjnNe8lsvl4sknv8aOHdtGoukiIjJKFDyMM2V+ow4A7mZv8BATZWfO1PTRaJKIjGEFyXms\nyV1hles7GvlN8e8B7+pslXt+Rkv9Jev55MwCln38e0TFxF/zWi6Xi6ef/tHwN1pEREaNgodxptwv\n38HjtuNp8X5DOG9aBrHRjtFqloiMYfdNu5OMuDSrvPfCfo5ePkFx8Sm2vf8me175Hm1NNdbzqZMK\nufGBv8QeFXPNa+3YsdXK+RERkfFHwcM4U+ofPLQ4weP9J16kKUsi0oe4qFgen/lwwLFfnnyF97a9\nA0BL3QX2/OZ7dLT6lmzNyJ3Dko89hd0RHXCdx+Nhy5b3h7/RIiIyKhQ8jCOd7i7ONfl2hL06Zclh\nt7FgesZoNUtEwoCRPoNVOcutcn1HA2XJF61yU00le175Pp3tvg0oJ0y5gRvv/841IxCNjY3D32AR\nERkVCh7GkXNNVbg8Lqt8NXiYVZBGQlx0X5eJiADwwPS7SPebvtSY0c6khXlWueHSWT747V/T1dFq\nHcuasvCaAMLpvDahWkRExgcFD+NIWUOPZOnulZY0ZUlEghEXFcfjMz8RcGzxF9YQFe8LDGrPm3zw\n6t8EBhAFC1j64HdxRMVis9lYu/bWEWuziIiMLAUP44j/5nAelwNPWyI24IZCBQ8iEpyZ6YWszF5m\nlRMyklj46eUB59ScO87eHiMQmXnzWPrx77Jy9XqmT9eO0yIi45WCh3HEP3jwTlmyYeSnkpJ47Yoo\nIiJ9eWDGPaTF+jaDm7p2FpMX5QecU1t1gr2vfJ/O9hbrWEbuXIrW/gmt7V0j1lYRERlZCh7Gidau\nNi62VFvlq1OWbpw5YbSaJCJhKj4qjsdnBU5fWvKlW4hNjgs4VnveZO9vA5OoLzbA//nVQRpaOhAR\nkfEnarQbIKFR0ViJB49VdjenYLPBIiMyg4e1a9fT3t4GQGxsXMjODabeoqKZXLhwAZvNw8SJk8nJ\nySUzM4m2tjauXGkach191dtfH0LVx1Deq3AQaf31Nyu9iNU5y9l2bjcAcSkJ3P7UQ/z+qRcCzqu/\nUEz7md+ROO+TdHSv11B6oZEfvnCAbz66kPTkyLpvIiLjnYKHcaJnsrSnOYWZ+WkRO2Vp4sSJw3Ju\nMK/V2+tlZXlXn0lMHJ4lLAfqQ6j6GMp7FQ4irb89PTjjHsza09aoZtxUJ//6zvPUfFhFY2MjTqeT\nW265lRkzCim90MCPf32IptZOAM5faeFvn9/PNx9dyOSMxNHshoiIhJCmLY0TAZvDdcbg6YjjxlmR\nOeogIqER44jhM7M3YLf5/lRsr9vLxx57iCef/Daf//yXmTHDmxw9ZVIyTz2xiDRnrHVuTUM7f//C\nAcouaN8HEZHxQsHDOFHaUG49djenYLfZWVykVZZEZGgKkvO4Z+ptVrnD3cl/HX8Rl9t1zbmTMxL5\nn08sZmJ6gnWssaWTH/7yACfLakekvSIiMrwUPIwDtW111LXXW2V3YyqzpqThTIjMKUsiElq3F6xl\nWsoUq1zWUMFbpe/3em5GShxPPb6Igom+jeLaOlz8468/YvexC8PdVBERGWbKeRgH/KcsAbibU7lx\nYWRPWWpoqKery7tcZFRUFMnJKSE5N5h6a2trqavzfsuamppGWloaMTFuurq6qKlpHHIdfdXbXx9C\n1cdQ3qtwEGn97YvdZuczszfwdx88TZurHYC3St8nPy6Hedlzrjk/OTGGP3/sBv75N4cxK+oAcLk9\n/Oz3x7lc18q9K6Zgs9lGtA8iIhIaCh7GgZKGMuuxxwO2lhQWRfiUpY0b36C83Htf8vML2LDh8ZCc\nG0y9Gze+QXGxCUBhocHdd9+L0xlHaWkpzc3tQ66jr3r760Oo+hjKexUOIq2//cmMT+cTRffz/ImX\nAHDj4efHfskPsr5DQnTCNefHx0bx5CML+Nnvj7P/lG8Z6Ve3l3CprpXP3DmTKIcGv0VEwo1+c48D\nZ2r9gofWJGblTyApPnoUWyQi49FNkxaT2eYbfWl3dPLciZfxeDy9nh8T7eArD87ljqV5Acd3HrnA\n0y8doqWtc1jbKyIioafgIcx1ubuoaPQt0+puSmX57Emj2CIRGa9sNhuFjXk42n1/Og5fPsaWyp19\nXmO32Xh0XSFP3F6E/0ylE2W1/O3zB7hY29LntSIiMvYoeAhz55rO48K36om9NT3ipyyJyPCJ8jjI\nOpsAbt+xV0+/SVmP3Kue1i3K5esPzSc22mEdq7rczN/814ccLbkyXM0VEZEQU/AQ5o5fOhtQnp01\nldgYRx9ni4gMXWxzFGnnfDtHuzwu/vPoC7R2tfZ73cIZmfyPxxeRkuRbCa6lvYunXzrEW3vL+5z+\nJCIiY4eChzB3sKrYeuzpiuKWWcYotkZEIoXzYizp7clW+XJbDb88+cqAAUDBJCff/fQSpk72LeXq\n8cBLm0/zs98fp73z2v0jRERk7FDwEKZOny7mZz/7v1Q2+TaHs7elMXtq+ii2SkQihQ0bRQ15pMb6\nEqgPXDrM9nN7Brw2PTmO//H4Im6eG5iftef4Rf7u+f1U1/U/giEiIqNHwUOY2b59Kw89dB8rVizm\nx//+M2xxbdZzreea2b1rxyi2TkQiSbQnis/OeRy7zfen5JXi3wXseN/ntVEOPnvPLD55ayF2v0zq\n8otN/K+f7+OA3/KuIiIydih4CCO/+tXzPPLIA2zfvhWAaatuDnj+2KYdPPzw/bz44guj0TwRiUDT\nU6dw39Q7rHKXx8XPjjxHY0fTgNfabDZuuzGPbz66IGB56Zb2Ln762yP88r1TdLnc/byCiIiMNAUP\nYWLHjm382Z99HZfr6nxgGxPn7DlzVQAAIABJREFUTA04p3L/IVwuF08++TV27Ng28o0UkYi0vmAN\n8zJnWeW69nqePfo8Lndw+QuzpqTzvc8sYcokZ8Dx9z6s1DQmEZExRsFDmHj66f/jFzhAZv48YtI7\nrHJbTRcdTe0AuFwunn76RyPeRhGJTHabnc/M3sCE+EzrWHHdWV4/+4egXyMzNZ6nnljM+sW5AcdL\nzjfy/Z/v48OTl0LWXhERuX4KHsJAcfEpa6rSVXnz1mNPqrfK1ScrA57fsWMrp08XIyIyEuKj4vnC\nvE8TY/dNP3q/fBv7Lx4K+jWio+w8dlsRf/LgXOJjo6zjre1dPPPaUf7jjeO0tHWFtN0iIjI4UQOf\nIqNty5b3A8rRcU6y583D5thrHbt0PDBB0ePxsGXL+8yYUTgibRxr0tLSaW9vtx6H6txg6p08eTL1\n9XUATJ48mbS0dFJS4mlvb6exsW3IdfRVb399CFUfQ3mvwkGk9TcY/d2T7KRJPDHrYf7z2C+tY8+f\nfJnJiRPJTgpcWak/i40J5E108q+vHaX0QqN1fNfRC5jldXz+3lkY+WlD7ImIiFwPmzblGRae6urG\ngc8K0o9//A/8/d//wCpPueEeFjxyJzFTj1nH3vmLl6kvC9yl9amnvsuTT347ZO2Q65eV5Z3LHcr3\nhYS/8fq++G3xG7xf4cu7yohL58+XfJ2kmMRBvU5nl5tXtp7hnX2Bu1fbgDuW5fPgqmlER42/AfTx\n+r6QodH7QnrT/b6wDXReKI2/37rjkNMZmESYP/c27El1VrmrrZOGipoBrxMRGQn3T7+LwtRpVvlK\nWw3/fuQXdLkHN+UoOsrOhlsL+faGhaQ5Y63jHuCtveX89X/vo+R8Q6iaLSIiQVDwEAbWrl1vPU6Z\nOIPkrCkBwUPt2Wo87sARJJvNxtq1t45YG0VErnLYHXx+7qfIiPNNazpTX8KL5qsD7kDdm1lT0vmb\nzy1l+ZyJAcfPVTfzg198yIvvF9PeoZ2pRURGgoKHMDBjRiGrVq0BIH/ueojqwB7fbD1/+dSFa65Z\nuXIN06dHZr6DiIy+pJhEvjz/j4hz+EYMdp/fx6aK7df1eglx0Xzhvjl8+f45JMb50vU8HnhnXwXf\nfXYvR0uu9PMKIiISCgoewsSTT36b2HgnObPWYE+qDXju8snA4MHhcPDkk98ayeaJiFwjO2kSfzzn\nMWx+03FfPf0mRy+fuO7XXDprIn/9uWXcUJgZcPxyfRs//vUh/uON4zS0dPRxtYiIDFXYJkwbhpEO\n/BXwADAZuAxsBL5rmub5Aa4dqNNppmnWDXBOf0KaMH3VD//tVczaFKLyTKInl3grcnt4/Qs/p7PZ\n+8fS4XDw9NM/ZcOGx0Nefzj54IO91NZ680DS0tJZunRZSM4Npt69e3dz6tRJwEZRkcGyZctJS0vg\nypUr1Ne3DrmOvurtrw+h6mMo71U4GO7+hmMC5PXck/fLt/Hb029Y5ThHLE8u+gq5zuwhtWW/eYnn\n3zlFfXNgsJAQG8WDq6dxyw3ZOOzh9x1ZOL4vZPjpfSG9GY2E6bBcqtUwjHhgCzAT+CnwIVAIfAtY\nZxjGYtM0a/t+BQCO4w0+etPcx/FR4/Z4qLNNBloCRh7qK2robO7AZrOxcuUannzyW6xcuXr0GjpG\nnD17mvLyMgDy8wv6/YAzmHODqXffvr0UF5sA1NfXkZWVhdMZR2lpKc3N7UOuo696++tDqPoYynsV\nDiKtv8G4nnuyLm8V55svsvv8PgDaXO08c+g/+faSr5EWl3rdbVlsTGBmQRovbz7NtkO+74xa2rt4\n4d1TbP3oHI/fVqRlXUVEQigsgwfgG8A84E9M03zm6kHDMA4BrwLfBf5sgNeoNk3zN8PXxNA6XlrD\nxZoWsLmwJ/o2h4tusPHQQ4/wzW/+RcTu6SAiY5vNZmOD8SCXW69QXHcWgPqOBv7l0LP82aKvkhAd\nf92vnRgXzR/dNYtlsyfxi7dN7+/JbpXVzfzwlwdZOmsCj6ydQXpy3JD7IiIS6cJvPNfr03hHB57t\ncfx1oBJ4wjCMER3CGW6b9p8DwJ5Uj83um3WVn5jLmjVrFTiIyJgWZY/ii/M+zaRE34pJ55sv8u9H\n/pvOQS7h2ptZBWn8zeeW8vAt04mNdgQ898GJSzz173v4zZYztLR1DrkuEZFIFnbBg2EYyXinKx0w\nTbPd/znTND3AB0AWMDXI17MZhjG4nYtG2OW6Vg6dvgxwTbJ0XFO4Dh6JSKRJiE7gq/M/S0qMbw+a\n4rqzPHf817g97iG/fpTDzl03FfC3X7yJm2YHLuva2eVm454y/uJfd/P2B+V0dg29PhGRSBSOnzwL\nun9W9vF8effPacDZfl4n0zCMXwAfBxINw2gEXgOeMk3z3FAbeTWxKRRe21XK1bEGu9OXxx3VaSc5\nOg6nMy6k9Y0HTmcciYmx1uP+7s9gzg2m3tjYKKKivN98xsZG4XT6pkokJsYOy7/XQH0IVR9Dea/C\nwUj1N5zu41DvSRZOvuP8Ot/b9I+0dXm//9l/6RCT07L41IKPY7MNfdA4K8vJd6ZlcuzsFf7t1cOU\nVPk2kmtu6+LXm06z+eA5Hr9zFmsW5eKwj82B6nB6X8jI0ftCRlvYjTwAV/+vaenj+eYe5/VldvfP\nJ4CH8eZKfArYbRhGZp9XjbDGlg7e2VPWXfIQlewLHhJaogOWQBQRCQdT0vL45s1fxGHz/Ql6w3yP\n1068HdJ65kzL4Oknb+EbG24gMzUwr+JSbStP/+oAf/IP77PpwwpcLo1EiIgEIxxHHkLhLrwJ0/v9\njv3GMIwK4DvAN4GnhlJBqJZS+/3OEtq6d061xTfhsfvm6zrq7DQ3t9PY2Kal23pobGyjubndetzf\n/RnMucHU297eRVeX99+svb2LxsY2a/RhuP69BupDqPoYynsVDoa7v+G49GKo7km2I4/HZn6C5068\nZB371ZHXcbfbWJ27IiRtvWr+lDT+9+eX8t7+St7cVUZLuy/H4lx1M0//6gAvvHWC+1ZM4aY5E0d9\neddwfF/I8NP7QnozGiNR4TjycHX8ua88haQe513DNM23egQOV11duWn9dbYtpDo6Xby33zc7Kykz\n8BdGXJOj5yUiImHjpslLeHDGPQHHfn3qNT64cCDkdUVHObhrWQE//Mpy7lyWT3RU4J+/S7WtPPvm\nCb7z73vZcvAcHZ2ukLdBRGQ8CMfgoQTwALl9PH81J6L4Ol67uvu1k6/j2pDbceQ8jS2+kYaJuW3W\nY4fbTnSrggcRCW/r89dwZ8G6gGPPnXiJw9XHhqW+xLhoHlk7gx9+eTm335hHTM8goq6VX7xt8q1n\ndvH6jhLtVi0i0kPYBQ+maTYDh4FFhmEELNptGIYDWAFUmKZZ3tv1hmHMMwzjS4Zh5PfydCHeXfp6\nvXYkudxu3v7A14yE2Chaoi5ZZWdngvIdRGRcuHfaHazO8U1VcnvcPHvsBU7WXM93QMFJTYplw62F\n/PArK7hjaR4x0YF/DptaO3l9RwnffmYXv3jrJOevjLm9Q0VERkXYBQ/dngUSgC/1OP4EMAH4j6sH\nDMOYaRiG/7Ktc/l/7d13fBzVvffxz2yRVr3Ykrtc5eMOphlMLyFAIJ0LCaRAchNIu7k3efLkJk/K\nk5B780p4Um4aN0DghlQIISGEQAIBE8dg49jGBfu4W66yepd2pd3nj1mtJXllr60tWuv7fr38mnJm\nZs/MHq/mN3MK3Ad8Mc5x+9s5/DZ5WT09qzYfoa752JuGi5aW0NRzrLF0Sagw3m4iIlnHcRxunvtm\nzp9wTmxdb7iX+zY+jG3cmdLPLinI4ZarqvnGXcu5/sIq8nIHNwUM9YZ5ccMhPn//ar7xi3Ws2VpL\nrxpXi8gYlq0Npu8DbgPuNcZMB9YCC3FHld4E3Dtg262AxR0bAuAx4E7gA9FelZ4GvLhdtl4DPAfc\nn4ZzGFZvX5gnV+6NLef4PUyZ2QO7jm1THCqgle7jdxYRyUIex8N75t9MT18PG+vdKkuhcIgfbXyI\nu5fcgSmfk9LPLy7I4eYr5nDjRTP428bD/OXVGhpaBw0lxLaaZrbVNFNckMOlSyZx+dmTGV9y+qNj\ni4hkIycSiZx8q1EoOljcl4F3AJOAo7jdrX7JWts4YLsIYK218wasCwAfww0iZgFhYDvwM+C71tqR\nDkEaGUlvCC+sO8Ajf94eW77+wiqCE9az6vCrgDtS68er7iDY7dbFzc/PZ8aMhMbEGzP27t1DZ6fb\nm+/Jrs+pbJvI5+7cuYOaGrd73aqq6cyZU824cYV0dHTQ2NiRku/rZOeQrHNM5rXKBqk+32zsPSXV\n1yTUF+L+zY+wpWFbbJ3f4+cjZ93B3LLUBhAD9YXDrN1WxzOra9hXG//7cYCFs8pZvnAiS+dWHDey\n9enKxnIhqadyIfFEy0Va67FnbfAwyp128NAT6uNzP36Fpjb3iVcgx8s37l7ONzd8i/quBgCqS2fx\nyXPuSlpmJfX0oy/xqFzEF+oL8ePNP+X1Bhtbl4kAAiASibDrUCsvrj/Imq1Hh62yFMjxcp6pZPmi\nicytKsUzgsHuVC4kHpULiScTwUO2tnk4Yz27uiYWOABce/40Qk5HLHAAN3gQETlT+b1+PrTovSwo\nN7F1oXCIH772EFsbtp9gz+RzHIc5U0r44I0L+NbHLuafrpxDZdnxVZW6g32s3HSYb/xyPf/7R6t4\n7IWd7Dncih7QiciZJlvbPJyRGlu7eXr1vthyYZ6fa8+vYnPzxkHbVZfNTnfWRETSyu/186HF7+XH\nm37K643uG4hQOMR9Gx/ijoXv5uzKxWnPU2Gen+uWVXHtBdPYuq+JlRsPs257HaHewW8jGlp7+NPq\nGv60uoZxxbmcayo5z1Qya0rxiN5IiIiMBgoeRpHHV+wiGDr2R+jtl80iP+BjR9OxltI+j4+ZxfF6\nmRURObPECyB6I308sPln3D7/Zi6cdF5G8uVxHBbOKGfhjHK6enpZa4/y8uYjbKtpPm7bhtYe/vzq\nfv786n5KC3M4u7qCJbPGMX96Gbk5GqtHRLKPgodRYtu+Jl7eUhtbnlpRyGVnTQZge/Pu2PqZxVX4\nvX5CoRDhsBtoeDwe/H5/ejM8yp3K9UnmtQyFQvT09NDT41Y9y83NJTc3N/YZPT09Kfm+TnYOyTrH\nsVbuxtr5JiLd18Tv9fOhJe/j4S2/ZEPdJgAiRHhk66N09/ZwxbSLU/r5J5OX6+PSJZO5dMlk6lu6\neHlLLWu21nKw7vhxIZrbg7y4/iAvrj+Iz+thXlUpi2ePY8nscUwoy89A7kVETp2Ch1EgGOrj4We2\nDVp369Vz8Hgcmrqb47Z3ePzxRwf16HPrrbelL8NZ4FSuTzKv5eOPP8rTTz/Fjh3uU9LqasMNN9xI\nUVGAvXv30tHRk5Lv62TnkKxzHGvlbqydbyIycU38Hh93Lnw3v9j2OK8cWRtb/9iO39PZ28n1M67B\nGQXVgcaX5HHT8hnctHwGhxs6+IetY609Sk1t+3Hb9vaF2bynkc17GvnlczsYXxJgXlUZ86aXcvFS\nH+NL1QWsiIxOCh5Ggd+v3MPRpq7Y8kULJ7BgRjkAOwa8dQC1dxCRscnr8XLb/HeS5wvwwoGVsfV/\n3PMXmntauGXu2/B6Rk81oEnjCrhxeQE3Lp/B0eYu/mGPsn57PbsOtRCvDXV9SzcrNx1m5abDPPDU\nViaNL6B6SgnzppdSPaWU8uLcUREgiYgoeMgwW9PEM2tqYstF+X5uvbo6tqz2DiIiLo/j4R3VNxHw\nBfjT3udi6/9+aA3NPa3cufA2Ar7cDOYwvsrSPK5fNp3rl02nvSvElj2NbNxVz6bdjbR3xR9W6HB9\nB4frO3jptUMAlBTmMHtyCbOnFDN7cgnTJxYlbVwJEZFToeAhg1o6gtz35JZBT6Fue8NcivJzYst2\nQPDQ395BRGSschyHG2ddS2FOAb/Z/iQR3B/QLQ3b+O76+7j7rDspzinKcC6HV5jnZ9mCCSxbMIFw\nOMKeI61s2d3Itpomdh5sHXYciZb2IOu217Fuex3gNtqeWllA1YQiqioLqZpQxNSKQvID+rMuIqml\nX5kM6e0Lc/8fttDSHoytW7ZgAufPq4wt13U20NAdGyybuaqyJCICwBVTL6Y0t4SHt/yCULgXgJq2\ng9y79vt85Kw7mVgwIcM5PDmPx3HfJkwu4c3MJBjqY9ehVmrqO9i0sx67r4m+cPxxIsKRCDW17ce1\np6goDVBVWcS0CYVMHlfApHH5TCjPx+fVsE4ikhwKHjIgEonw02csr+9tiq2bUJ7Pe99oBtVp3dY0\neDCk+eVz05ZHEZHR7uyKRXxi6Ye5b+NDdIQ6AWjobuKba3/AHQvfxaLx8zOcw1OT4/cyf3oZl53n\nVk89cLCZvUda2Xmwhd2HWtl1sIXWzvjVnPrVNXdT19zNP6JvKMB9S1FRGmDSuAImjc9nUnkBE8rz\nqCjNo6QgR20pROSUKHhIs0gkwm9W7GLlpsOxdX6fh4+8dRF5uYO/jm2NO2Lzeb4AVUVT05ZPEZFs\nMKtkOp8696P8cMOD1Eff1Hb3dXPfxod565wbuHraZVl7c5yb48VUlWGqygD370dDSzc7D7Ww+2Ar\nNbVt1BxtpzvYd8LjhCMRapu6qG3qYsPOwWk5Pg/jSgJUlLrBREV0vrw4QFlRLoX5fg1sJyKDKHhI\no3A4wq+e38Fz/zgQW+c4cNdbFjKtsnDwtpHwoPYOc8vmjKqeRERERosJ+RV8+ryP8eNNP2V3y17A\nHQviiZ1/5GD7Yd5t3nFGtBdzHIfxpXmML83jwgUTATcwqG/pZn9tG/tq29kfDSia2noSOmawN8zh\nhk4ON3TGTfd6HEoLcykrOvavf7k4309Rfg5F+X4K8/14PaoaJTIWKHhIk5b2Hh546nW2DKiqBPC+\n6+axtLriuO33tR6gq/dY963zyqqP20ZERFxFOYV8YumH+LV9gpcPvxpbv+bIOo521vPBRbdTFijN\nYA5Tw+M4VJbmUVmax7nmWJu5ju5QNCjo4HBDJ0caOjnU0EFdc1fcrmKH0xeO0NDaTUNr90m3LQj4\nKIwGE0V5xwKLgoCf/ICPvFwf+bm+4+bVHkMkuyh4SLGunl5WbDjEH1btpaund1Dau6+pjo0iPdS2\nxsHtHeaVK3gQETkRv8fHbfPeyZTCSTy+4w+xnpj2ttbw9Ve/y/sXvmvMtB0rCPiZM6WEOVNKBq0P\n9YapbeqkrrmL+uZu6pq73PkWdz7YG7+3p0R0dPfS0d1LbePJtx0ox+chL9cNKHL9XnL9HnJyvOT6\nveT4vOTmuOvcNC850Wlujhe/z4Pf68HndfBF571eD36vg8/ria3zRbfJ1ipsIqOJgocU+N2KnRyp\na2f/0Xa27Ws67sfY7/Nwxw3zYq+d49k6oL3DuEAZFXnjUpZfEZEzheM4XDntEibmV/Lglp/H3uC2\nhzr4wYYHuWHmNVw342o8zth82u33eZhaUcjUisLj0iKRCK2dIeqau2hq66GprYfmth6a2nuiy900\ntQWH7U72dAV7wwR7g7R0BE++8Qj5+oMKrwev18HrcfA4Dh5PdN7j4HUcnCHLHs+AbZxjaZ7+/R3A\nccufQ3Q6aBkc3HU4xNqReNyEQeluUvSYA7YpLMzFwaGz8+RV0uIFSXHDJmfoYmLB1dDDxz92AnmI\ns6PCu1NTXBTgTZfMSutnKnhIgQef3DJs2uTxBXz4zce3cRiou7ebPa37Ysvzyqv1tERE5BTMHzeX\nz5z3cR7Y/AgH290OKiJE+OOev7C7ZR/vX/AuCnMKMpzL0cVxHEoKcigpyBl2m0gkQkd3L81tPbR1\nBmnrCtHWGXLnB0673Pn2rtApVZNKtd6+CL19fcCJG5mLZBMFD2eoonw/1y2r4g3nTTtp/c4dzbsJ\nR4492ZkX5zV7IBCgsLAoNi+Dncr1Sea1dI9VSEFBAeBQWFhIIBAgLy+PoqIiHCcnJd/Xyc4hWec4\n1srdWDvfRGTTNanMH8+nz/0Yv97+BK8cXhtbv7VxO/+x5tu8d8EtqhJ6ihzHoTDPT2FeYg3Qw5EI\nPcE+Ort76erppTP6r6t76HyIrp4+ekJ9BEPutCcUpid4bN1IqlSJSPI4kdH0SOAMcdOnfh8BGF8S\nYOakYs6uHs+5cyvI8SfWW9Kv7e946eAqwH2F+PVLv0ihX0/IsllFhXuzVVfXluGcyGiicpE+qw69\nyqPbn4gNKAfu7+vVVZdx46w34veMnmdpKhfxhSORaGARdgOKoBtQ9PYd+xfqjRyb7wvT2xumty9y\nbD4cpje6TV84QjgccacRdxoZshzu3yZybNvIkOVwOEIk4r7ZikTctzMRcN+4RCL0j/MXiQzdbsh8\n9H4s7CaguzNJ1B/+31vSWj1l9PxankF+/bUbaG3pPK1u6yKRCJsbtsaWZxRPU+AgIjJCyyefT1XR\nFB7Y/Ah1XQ2Ae+P2XM0KbOMO3r/wXVkxKvVY5nEcAjk+AsPXqjrjHAtEIowfX0QkEqGurn3oVkP2\niXOcuAcfunj8Vok8X46/TZxjncax5eQqxg9fDT5VFDykQH7AT0fb6TXGO9xRS2P3se5cs22EVBGR\n0Wpq0WQ+e/6/8NiOJwdVY9rffoivv/pfvHX2DVw29aIx25haRp/+Btc4TqzKs9+n8inHFOanP5pW\nCRxlNtdvHbS8aJyCBxGRZAn4Arxn/j/xgUW3k+fLi60PhUM8tuP3fGfdf3O0sy6DORQRGd0UPIwy\nmwZUWSrNLWFK4aQM5kZE5Mx0TuUSPn/Bv1JdOriXkl0te/iPNd/m+ZqXBnVcISIiLlVbGkXagx3s\naTnWReui8fOH7aJ106aNtLa2AFBcXMLixUvSksdscSrXJ5nXctOmjWzYsI5du9xxOmbPrubss8+h\nvLyA5uZmmps7U/J9newcknWOY63cjbXzTcSZdE3KAqV8YumH+Ov+v/HU7mdjjalD4V5+u/Mp1h/d\nyLvmvUMPcUREBlDwMIq83mgHNVhafIIqS1u2bKKmxg00qqqmZ/Uf8FQ4leuTzGu5Zcsm/vKXZ9mx\nwwJQXb0bv99PUVGAvXv30tHRk5Lv62TnkKxzHGvlbqydbyLOtGvicTxcU3U5i8cv4OdbH2NXy95Y\n2p7oyNSXT13Om2ZeS55vdHdNKyKSDqq2NIoMbO/g9/iZWzYng7kRERk7JuRX8Mlz7uKd1W/G7zk2\nhkE4EuaF/Sv56ivfZG3tBtS9uYiMdQoeRom+cB+vN9rYsimbQ443sUF4RERk5DyOhyunXcLnL/g3\n5g8ZnLMl2MZDW37B9zbcz+GO2gzlUEQk8xQ8jBI7mnfT1dsdW1YXrSIimVGRP46PnvUBPrDodkpz\nSwal2aadfG31t/jltsdp6dEgbiIy9qjNwyix7ujG2LyDw2IFDyIiGeM4DudULmFBueFPe5/jr/v/\nFut9KUKElYdW82rtet5QdSVXV11KjncMjVwmImOa3jyMAn3hPl6r2xxbnlUy/binXSIikn4BXy5v\nm/Mm/v38TzK3dPagtJ6+IE/teZYvv/wNVh1aQ1+4L0O5FBFJHwUPo8DO5j20hzpiy0srs7v3EhGR\nM83kwol8YumHuGvJ+5mQXzkorSXYys+3/YavvPJNXj68VkGEiJzRVG1pFFhft2nQ8tkVizKUExER\nGY7jOCwev4AF5YZVh9fw1O4/D3rwU9/dyM+2Psqze5/n+hnXcN6Es/F6vBnMsYhI8il4yLBwJMyG\nAcHDrJLplAVKM5gjERE5Ea/Hy6VTLuK8CUt5bt+L/PXASoJ9wVh6XVcDP936a57Z9zzXTLucCyae\ng1+954nIGULVljJse9Mu2oLtseWlFYszmBsREUlUni/ATbOv4ysXfZZrqi4nxzM4QDjaWc8v7ON8\n4eX/5Jm9z9MR6sxQTkVEkkdvHjJs9ZF/xOYdHLV3EBHJMkU5hbxtzpu4pupy/rLvRV46uIpQuDeW\n3hZs5w+7n+XZfS9w8aQLuHzqxVTkj8tgjkVETp+Chwzq7u1mw9FjVZZM2RxVWRIRyVJFOYW8vfpG\nrq66nOf3r+DvB1fT3dcTSw/2BXnhwEpeOLCSBeWGy6ZexMJx8/A4qgQgItlDwUMGbajbTDAcii0v\nm3RuwvueddZSZs2aA0BRUVHS85btTuX6JPNannXWUrxeL7t27cJxYNas2SxatITy8gLmzp1LU1Nn\nSr6vk51Dss5xrJW7sXa+idA1ObmS3CLePudGrp9xNSsPruaF/StpCbYO2ub1RsvrjZay3FIunXIh\nF00+n+IcXU8RGf2cSCSS6TyciSJ1dScfefS76/6b7c27AMj15vCfl3yRXA00dEaqqHBvChIpFzJ2\nqFyMDb3hXl6t3cDzNSs43FEbdxuP42FBueHCSedx5bzz8Xv9KhcyiH4vJJ5ouXDS+Zl685Ah9V2N\nscABYGnFEgUOIiJnIJ/Hx0WTzuPCieeys3k3Lx18mQ11m2MjVoPb897mhq1sbtjKr7b/lourzmNJ\n6WKmF03DcdJ6XyAickIKHjLkbwdfHrR8KlWWREQk+ziOQ3XZbKrLZtPS08qqQ2tYeWg1zT0tg7Zr\nD3bw7M4VPMsKxgXKWFq5hHMql1BVNFWBhIhknIKHDAj2BVl1aE1seWJ+JdWlszKYIxERSaeS3GKu\nn3kN106/kq2N23nl8Fo21b9Ob2Tw6NQN3U08V7OC52qOBRJLKxdTVTRVDa1FJCMUPGTAq7Xr6ezt\nii1fPnW5niaJiIxBXo+XRePns2j8fDpCnfyjdgNr69ezq3HfcdsODCSKcgpZOG4ei8bNZ155NXm+\nQAZyLyJjkYKHNItEIqw4sCq2HPDmcsHEc075OI899isOHjwAwJQpU7n55luTlsczwalcn2Rey8ce\n+xXPPPM0O3ZYAKqrDddddwPFxXnU1NTQ0dGTku/rZOeQrHMca+VurJ1vInRNUqfAn89lU5fzjqVv\n5GDrEZ7btor1RzdxqONEXzkKAAASRElEQVTIcdu2Bdt55fBaXjm8Fq/jZXbpTBaOM5iyaqYUTtRb\nCRFJGQUPaWabdnKw/XBs+cJJ5xE4jSdGfX19BIPB2LwMdirXJ5nXsq+vj1AoRCjkdsEbCoXo6+uj\nt7eXYDBIMBhMyfd1snNI1jmOtXI31s43Ebom6TGleCI3zHwDN8x8A0c6jrL+6EbWHd0YN5Doi/Sx\nvWkn25t2Am4QUl06m7llszFls5mQX6m32yKSNAoe0uzpPc/F5h0cLp+6PIO5ERGR0W5iQSXXz7yG\n62deQ21nHZvrt7K5YRs7m3cP6rGpX0eokw11m9hQ5w5CWpxTxOzSmcwqrmJmyXSmFk3B79GffxE5\nPfr1SKPtTbvY1bIntnxO5RIq8ysymCMREckmE/IrmFBVwdVVl9HV2822xh1srt/KlsZttAXb4+7T\nGmxj/dGNrD+6EQCf42Va0RRmlFQxs7iKaUVTGZ9XrqpOIpIQBQ9pEo6EeWLnHwetu27G1RnKjYiI\nZLs8X4CllYtZWrmYSCTC4Y5abNNOdjTtYnvzbroGdMwxUG+kjz2tNexpreGF6Lpcbw5TCicztXAS\nUwsnM7VoMpMKJpLj9afvhEQkKyh4SJNXj6ynpu1AbPmcyiVMLpyYwRyJiMiZwnEcJhdOZHLhRK6c\ndgnhSJgD7YfY3rSLHU272NNaQ0eoc9j9e/qC7G7Zy+6WvceOiUNl/ngm5Fe6bzwKKpmYX8GE/Ary\n/flpOCsRGY2yNngwxpQDXwLeCkwC6oGngS9Yaw+faN/o/suBLwAXAnnAduB+4PvW2kgy89oe7Bj0\n1sHneHnL7BuS+REiIiIxHsdDVdFUqoqmck3V5UQiEeq66tnT4r5x2Nuyj4MdR+K2megXIUJtZx21\nnXXHpRXlFFKZV8H4vHLG5ZUzPuBOxwXKKMktVhUokTNYVgYPxpg84EVgHvB9YC1QDXwauMoYc661\ntukE+18F/AnYD3wZaATeAvwXMBv4ZLLyGolE+PX2J2gLHauLeuW0SxmfV56sjxARETkhx3GozK+g\nMr+CZZPOBdy3DfvbDnKw/TAH2g5xoP0QhzqO0BvuPenx2oLttAXbB7Xj6+dzvJQHyigPlFGaW0JJ\nbjGlucWURP+V5pZQ5C/E6/Em/TxFJPWyMnjAvblfDHzUWvvD/pXGmNeAJ3DfKPzbCfb/IdANXDrg\nLcUjxpjfAZ8wxjxkrX0tGRn96/6/sS7aSA2gIm8c18+8JhmHFhEROW253hzmlM5kTunM2Lq+cB+1\nnXVuQNF+iNrOo9R21FHX1UCExF7K90b6ONpVz9Gu+mG3cXAoyimkOKeIQn8BhTkFFPgLKPK708Kc\nAnd9dDnfF8Cv9hcio0K2Bg/vBTqAB4es/z1wALjdGPOpeNWPjDHLAAM8EKd60/dx30DcDow4ePj7\nodWDqis5OLxn/i3kenNGemgREZGk83q8sbYT57M0tj4U7qW+q4HajqMc6azjSMdR6rvqqe9uHLaX\npxOJEKE12EZrsC3hfXyOl4AvQF7sXx55vsCxdV53PsfrJ8eTQ443Z8C8n1xvDv4B8z6PT9WrRE5D\n1gUPxphi3OpKf7PW9gxMs9ZGjDFrgLcDM4HdcQ5xQXT6cpy01dHpspHkcXv9bn6/5XlerV03aP1b\n59zA7NIZIzm0iIhI2vk9PiYVTGBSwYTj0oJ9QRq6m2joaqS+u5GGrkYaupto6m6ipaeV1mB7wm8t\nTqQ30kd7qIP2UMeIj9Uvx+PH5/Hh8/jwOl78Hh9ej9dd53jdeceHL7rO60TTPF680fWO4+DBg9fx\n4DgePI6Dx/Ec+4eD4wxJZ0C640TXe3BwcCA2qJ+DE513KO3Nx3GgpaUrup2Du5m7D9Ft468ntg9O\nf8rgz0pU/1GT6VTycKq5TclxR9Ggi31tXUwsqkzrZ2Zd8ABMj04PDJNeE53OIn7wMGO4/a21bcaY\n5ui+p+3/PP/N49ZdMnkZV0+7bCSHFRERGXVyvDnDBhbgVoVqC7XT0tNKc08rLT2ttPS00NzTSnuo\nnbZQBx1BNyjo7uuJe4xUCYZDBMOhtH6mSLI9esuP0vp52Rg8FEWnw/U51zFku9PZf7h9T8vbF1zP\nLYtuOuXo/kSKigIUFOTG5isqkprlrHcq1yeZ17KoKEBurg+fz20ImJvro6goEEsvKMhNyfd1snNI\n1jmOtXKXrvPNpus41spAJp1J13YipQltF+oL0dbTQWtPO609bW7D7J4OOkNddIa66Qx2Ruejy7H5\nLrp70xt4iIxVTiSS1F5JUy7axerfgQettR+Mk34P8Hng7dbaJ+Kk/xj4Z9zG0ivjpB8Aiqy1JUnP\nvIiIiIhIFsvGlkKt0WnBMOmFQ7Y7nf2H21dEREREZMzKxuBhDxABpg6T3t8mYscw6f3tII7b3xhT\nApScYF8RERERkTEr64IHa20HsBE4xxgTGJhmjPECy4H91tqaePsDq6LTi+OkXRqdHledSURERERk\nrMu64CHqQSAf+PCQ9bcDlcAD/SuMMfOMMbERcKy1G4B1wM3GmKkDtnOAfwVCwP+kLusiIiIiItkp\nG3tbArgPuA241xgzHVgLLMQdVXoTcO+AbbcCFndsiH4fAV4AXjLGfAdoBm4FrgK+YK3dlfIzEBER\nERHJMln55sFaGwKuBb4HvAN4GHgf7huHK6y1w3XD2r//auAyYBvwFeC/gYnAndbae1KXcxERERGR\n7JV1XbWKiIiIiEhmZOWbBxERERERST8FDyIiIiIikhAFDyIiIiIikhAFDyIiIiIikhAFDyIiIiIi\nkhAFDyIiIiIikhAFDyIiIiIikpBsHWE67Ywx5cCXgLcCk4B64GncEakPJ7D/cuALwIVAHrAduB/4\nvrVWg21kqSSUi0ui+18ABID9wOPAV6217anKt6TWSMvFkGMFgNeAucCV1toXk5tbSZck/F7kAp8F\nbgemRff/I/B5a219qvItqZWEcnE7cBdwFpAD1ABPAfdYaxtSlW9JLWNMDnAP8GngJWvtFaewb0rv\nOfXmIQHGmDzgReBu3Bu79+OOSn0L8HdjTNlJ9r8KeAGoBr4M/DPuF/lfwLdTlG1JsSSUi9uAv+He\nBHwpepyNwGeAPxtj9P8zC420XMTxBdzAQbJYEn4vfLiBwv/BvTH8IPAb4APAiuiNhmSZJJSL/wAe\nAfzA53CDiBeBjwOvGGOKU5R1SSFjjAFexi0Xzinum/J7Tr15SMwngcXAR621P+xfaYx5DXgC94/7\nv51g/x8C3cClA54iPGKM+R3wCWPMQ9ba11KTdUmh0y4X0SeIP8J907DMWtsSTfqJMeYJ3CdQ1+E+\nfZLsMtLfixhjzGLgfwHrgaXJz6qk0UjLxV3A1cD7rLU/ja77mTGmHrgTWIb7MEKyy0j+jpTj/j7s\nBS6z1vZEkx6KlovPAncA301Z7iXpogHjOmAHcB6w7RQPkfJ7Tj3ZTMx7gQ7gwSHrfw8cAG43xsSN\nDI0xywADPBrn9eP3cSPK25ObXUmT0y4XwETgt8B/Dggc+vUHDEuSlVFJq5GUi5jom6f7gX24TyIl\nu420XHwU92bikYErr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"text/plain": [
"<matplotlib.figure.Figure at 0x7fd26f246860>"
]
},
"metadata": {
"image/png": {
"height": 266,
"width": 391
}
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Importance Sampling Estimation is 0.10686\n"
]
}
],
"source": [
"post_samples = trace['p']\n",
"\n",
"a_g, b_g = posterior_ab(post_samples)\n",
"g_samples = betamix_rvs(N, w, a_g, b_g)\n",
"betap = betamix_pdf(g_samples, w, a_g, b_g)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(g_samples, betap, 'ko')\n",
"ax.plot([g_samples, g_samples],\n",
" [np.zeros_like(betap), betap], 'k--', alpha=.5)\n",
"ax.plot(x, betamix_pdf(x, w, a_g, b_g))\n",
"plot_pdf(k+alpha, n-k+beta)\n",
"plt.legend(loc='upper center', frameon=False)\n",
"ax.set(xlim=[0,1], ylim=[0,3.5], xlabel='x', ylabel='f(x)')\n",
"plt.show()\n",
"\n",
"m_l_i = (st.binom.pmf(k, n, p=g_samples)*st.beta.pdf(g_samples, alpha, beta)/\n",
" betamix_pdf(g_samples, w, a_g, b_g)).mean()\n",
"print('The Importance Sampling Estimation is %.5f'%(m_l_i))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Generalized Harmonic Mean Estimator"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Generalized Harmonic Mean is 0.08441\n"
]
},
{
"data": {
"image/png": 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7TaUf0PMLX+H+7NxuNz9bsZ0Gl2/K1Keun4oZn9En9//CrbPYc6SEwuJqAFZtPcZ1i8cz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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd269b89b70>"
]
},
"metadata": {
"image/png": {
"height": 266,
"width": 397
}
},
"output_type": "display_data"
}
],
"source": [
"post_samples = st.beta.rvs(k+alpha, n-k+beta, size=N)\n",
"\n",
"# probit-transform posterior samples\n",
"probit = st.norm.ppf\n",
"probit_post_samples = probit(post_samples)\n",
"\n",
"# correct for change of coordinates, not sure if my derivation is correct \n",
"scale = np.log(np.abs((2/np.sqrt(np.pi) * exp(-post_samples**2)).sum()))\n",
"\n",
"mu_probit = np.mean(probit_post_samples)\n",
"sd_probit = np.std(probit_post_samples)\n",
"\n",
"sd_g_is = sd_probit/1.5\n",
"\n",
"m_l_gh = 1/(st.norm.pdf(probit_post_samples, mu_probit, sd_g_is)/\n",
" (st.binom.pmf(k, n, p=post_samples)*\n",
" st.norm.pdf(probit_post_samples, 0, 1))).mean()\n",
"print('The Generalized Harmonic Mean is %.5f'%(m_l_gh))\n",
"\n",
"x1 = np.linspace(-2, 1, 1000)\n",
"\n",
"fig, ax = plt.subplots()\n",
"betap = st.beta.pdf(post_samples, k+alpha, n-k+beta)\n",
"ax.plot(probit_post_samples, betap/scale, 'ko')\n",
"ax.plot([probit_post_samples, probit_post_samples],\n",
" [np.zeros_like(betap), betap/scale], 'k--', alpha=.5)\n",
"ax.plot(x1, st.norm.pdf(x1, mu_probit, sd_g_is))\n",
"ax.plot(probit(x), st.beta.pdf(x, k+alpha, n-k+beta)/scale)\n",
"plt.legend(loc='upper center', frameon=False)\n",
"ax.set(xlim=[-2,1], ylim=[0,2], xlabel='x', ylabel='f(x)')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Generalized Harmonic Mean is 0.08859\n"
]
}
],
"source": [
"post_samples = trace['p']\n",
"\n",
"# probit-transform posterior samples\n",
"probit_post_samples = probit(post_samples)\n",
"\n",
"mu_probit = np.mean(probit_post_samples)\n",
"sd_probit = np.std(probit_post_samples)\n",
"\n",
"sd_g_is = sd_probit/1.5\n",
"\n",
"m_l_gh = 1/(st.norm.pdf(probit_post_samples, mu_probit, sd_g_is)/\n",
" (st.binom.pmf(k, n, p=post_samples)*\n",
" st.norm.pdf(probit_post_samples, 0, 1))).mean()\n",
"print('The Generalized Harmonic Mean is %.5f'%(m_l_gh))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The posterior sample from PyMC3 is already on a Real line (it transform the paremeters internally for NUTS sampling), we can skip the step of probit transformation."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Generalized Harmonic Mean is 0.09123\n"
]
}
],
"source": [
"logit_samples = trace['p_logodds__']\n",
"\n",
"mu_probit = np.mean(logit_samples)\n",
"sd_probit = np.std(logit_samples)\n",
"\n",
"sd_g_is = sd_probit/2\n",
"\n",
"m_l_gh = 1/(st.norm.pdf(logit_samples, mu_probit, sd_g_is)/\n",
" (st.binom.pmf(k, n, p=post_samples)*\n",
" st.norm.pdf(logit_samples, 0, 1))).mean()\n",
"print('The Generalized Harmonic Mean is %.5f'%(m_l_gh))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Bridge Sampling Estimator\n",
"The Bridge Sampling Estimator is a general case of method 1-3 above (more details see Appendix A in the paper). The general idea is to build an Importance density using the posterior (for the easy generation of samples), and use a bridge function to \"bridge\" between the importance samples and the posterior samples. \n",
"\n",
"It goes as the following:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Draw `2*N1` samples from the $\\text{Beta}(3, 9)$ posterior for theta."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"N1 = 12\n",
"theta_star = st.beta.rvs(k+alpha, n-k+beta, size=N1*2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Choose a proposal distribution. \n",
"_Here using normal distribution as in the paper._ \n",
"\n",
" \n",
"- Transform the first batch of `N1` posterior samples. Using a Probit transform here."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"theta_star_4_fit = theta_star[:N1]\n",
"xi_star_4_fit = probit(theta_star_4_fit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Fit the proposal distribution to the first batch of `N1` probit-transformed posterior samples."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"mu_hat = np.mean(xi_star_4_fit)\n",
"sigma_hat = np.std(xi_star_4_fit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Draw `N2` samples from the proposal distribution."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"N2 = N1\n",
"xi_tilde = st.norm.rvs(mu_hat, sigma_hat, size=N2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Calculate $l_{2,i}$ for all `N2` samples from the proposal.\n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"def unnormalized_posterior(xi, k, n):\n",
" # returns the unnormalized posterior density for xi\n",
" return (st.binom.pmf(k, n, p=st.norm.cdf(xi))*\n",
" st.norm.pdf(xi, 0, 1))\n",
"\n",
"l2 = unnormalized_posterior(xi_tilde, k, n)/ \\\n",
" st.norm.pdf(xi_tilde, mu_hat, sigma_hat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Transform the second batch of `N1` posterior samples.\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"theta_star_4_iter = theta_star[N1+1:]\n",
"xi_star_4_iter = probit(theta_star_4_iter)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Calculate $l_{1,j}$ for all `N1` probit-transformed samples from the posterior distribution.\n"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"l1 = unnormalized_posterior(xi_star_4_iter, k, n)/ \\\n",
" st.norm.pdf(xi_star_4_iter, mu_hat, sigma_hat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Run the iterative scheme until our predefined tolerance criterion is reached.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration: 1 -- Marginal likelihood estimate: 0.11230\n",
"Iteration: 2 -- Marginal likelihood estimate: 0.11269\n",
"Iteration: 3 -- Marginal likelihood estimate: 0.11270\n",
"Iteration: 4 -- Marginal likelihood estimate: 0.11270\n",
"Iteration: 5 -- Marginal likelihood estimate: 0.11270\n",
"Iteration: 6 -- Marginal likelihood estimate: 0.11270\n",
"Iteration: 7 -- Marginal likelihood estimate: 0.11270\n",
"The Bridge Sampling Estimatation is 0.11270\n"
]
}
],
"source": [
"p4_y = 0 # initial guess of marginal likelihood\n",
"tol = 1e-10 # tolerance criterion\n",
"criterion_val = tol + 1 # criterion value\n",
"\n",
"s1 = N1/(N1 + N2)\n",
"s2 = N2/(N1 + N2)\n",
"\n",
"i = 0 # iteration counter\n",
"while criterion_val > tol:\n",
" p4_y_old = p4_y\n",
" # Equation 15\n",
" numerator = l2/(s1*l2 + s2*p4_y)\n",
" denominator = 1/(s1*l1 + s2*p4_y)\n",
" p4_y = N1/N2*np.sum(numerator)/np.sum(denominator)\n",
" i += 1\n",
" criterion_val = abs((p4_y - p4_y_old)/p4_y)\n",
" print(\"Iteration: %s -- Marginal likelihood estimate: %.5f\"%(i, p4_y))\n",
"\n",
"print('The Bridge Sampling Estimatation is %.5f'%(p4_y))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Bridge Sampling Estimator in PyMC3\n",
"\n",
"There are a few features in `PyMC3` eases the implementation of the Bridge Sampling Estimator of the Marginal Likelihood: \n",
"1, the log-likelihood function is easily available, and unlike in `Stan` all the constants are retained so no need to change the way you write down the model; \n",
"2, all the parameters are already transformed to have the domain in $\\mathbb{R}$, and we can just approximate it with a MvNormal"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"# Based on https://github.com/quentingronau/bridgesampling/blob/master/R/bridge_sampler_normal.\n",
"from pymc3.model import modelcontext\n",
"from scipy import dot\n",
"from scipy.linalg import cholesky as chol\n",
"import warnings\n",
"\n",
"def Marginal_llk(mtrace, model=None, logp=None, maxiter=1000):\n",
" \"\"\"The Bridge Sampling Estimator of the Marginal Likelihood.\n",
"\n",
" Parameters\n",
" ----------\n",
" mtrace : MultiTrace, result of MCMC run\n",
" model : PyMC Model\n",
" Optional model. Default None, taken from context.\n",
" logp : Model Log-probability function, read from the model by default\n",
" maxiter : Maximum number of iterations\n",
"\n",
" Returns\n",
" -------\n",
" marg_llk : Estimated Marginal log-Likelihood.\n",
" \"\"\"\n",
" r0, tol1, tol2 = 0.5, 1e-10, 1e-4\n",
"\n",
" model = modelcontext(model)\n",
" if logp is None:\n",
" logp = model.logp_array\n",
" vars = model.free_RVs\n",
"\n",
" # Split the samples into two parts \n",
" # Use the first 50% for fiting the proposal distribution and the second 50% \n",
" # in the iterative scheme.\n",
" len_trace = len(mtrace)\n",
" nchain = mtrace.nchains\n",
" \n",
" N1_ = len_trace // 2\n",
" N1 = N1_*nchain\n",
" N2 = len_trace*nchain - N1\n",
"\n",
" neff_list = dict() # effective sample size\n",
"\n",
" arraysz = model.bijection.ordering.size\n",
" samples_4_fit = np.zeros((arraysz, N1))\n",
" samples_4_iter = np.zeros((arraysz, N2))\n",
" # matrix with already transformed samples\n",
" for var in vars:\n",
" varmap = model.bijection.ordering.by_name[var.name]\n",
" # for fitting the proposal\n",
" x = mtrace[:N1_][var.name]\n",
" samples_4_fit[varmap.slc, :] = x.reshape((x.shape[0], \n",
" np.prod(x.shape[1:], dtype=int))).T\n",
" # for the iterative scheme\n",
" x2 = mtrace[N1_:][var.name]\n",
" samples_4_iter[varmap.slc, :] = x2.reshape((x2.shape[0], \n",
" np.prod(x2.shape[1:], dtype=int))).T\n",
" # effective sample size of samples_4_iter, scalar\n",
" neff_list.update(pm.effective_n(mtrace[N1_:],varnames=[var.name]))\n",
"\n",
"\n",
" # median effective sample size (scalar)\n",
" neff = pm.stats.dict2pd(neff_list,'temp').median()\n",
" \n",
" # get mean & covariance matrix and generate samples from proposal\n",
" m = np.mean(samples_4_fit, axis=1)\n",
" V = np.cov(samples_4_fit)\n",
" L = chol(V, lower=True)\n",
"\n",
" # Draw N2 samples from the proposal distribution\n",
" gen_samples = m[:, None] + dot(L, st.norm.rvs(0, 1, \n",
" size=samples_4_iter.shape))\n",
"\n",
" # Evaluate proposal distribution for posterior & generated samples\n",
" q12 = st.multivariate_normal.logpdf(samples_4_iter.T, m, V)\n",
" q22 = st.multivariate_normal.logpdf(gen_samples.T, m, V)\n",
"\n",
" # Evaluate unnormalized posterior for posterior & generated samples\n",
" q11 = np.asarray([logp(point) for point in samples_4_iter.T])\n",
" q21 = np.asarray([logp(point) for point in gen_samples.T])\n",
"\n",
" # Iterative scheme as proposed in Meng and Wong (1996) to estimate\n",
" # the marginal likelihood\n",
" def iterative_scheme(q11, q12, q21, q22, r0, neff, tol, maxiter, criterion):\n",
" l1 = q11 - q12\n",
" l2 = q21 - q22\n",
" lstar = np.median(l1) # To increase numerical stability, \n",
" # subtracting the median of l1 from l1 & l2 later\n",
" s1 = neff/(neff + N2)\n",
" s2 = N2/(neff + N2)\n",
" r = r0\n",
" r_vals = [r]\n",
" logml = np.log(r) + lstar\n",
" criterion_val = 1 + tol\n",
"\n",
" i = 0\n",
" while (i <= maxiter) & (criterion_val > tol):\n",
" rold = r\n",
" logmlold = logml\n",
" numi = np.exp(l2 - lstar)/(s1 * np.exp(l2 - lstar) + s2 * r)\n",
" deni = 1/(s1 * np.exp(l1 - lstar) + s2 * r)\n",
" if np.sum(~np.isfinite(numi))+np.sum(~np.isfinite(deni)) > 0:\n",
" warnings.warn(\"\"\"Infinite value in iterative scheme, returning NaN. \n",
" Try rerunning with more samples.\"\"\")\n",
" r = (N1/N2) * np.sum(numi)/np.sum(deni)\n",
" r_vals.append(r)\n",
" logml = np.log(r) + lstar\n",
" i += 1\n",
" if criterion=='r':\n",
" criterion_val = np.abs((r - rold)/r)\n",
" elif criterion=='logml':\n",
" criterion_val = np.abs((logml - logmlold)/logml)\n",
"\n",
" if i >= maxiter:\n",
" return dict(logml = np.NaN, niter = i, r_vals = np.asarray(r_vals))\n",
" else:\n",
" return dict(logml = logml, niter = i)\n",
"\n",
" # Run iterative scheme:\n",
" tmp = iterative_scheme(q11, q12, q21, q22, r0, neff, tol1, maxiter, 'r')\n",
" if ~np.isfinite(tmp['logml']):\n",
" warnings.warn(\"\"\"logml could not be estimated within maxiter, rerunning with \n",
" adjusted starting value. Estimate might be more variable than usual.\"\"\")\n",
" # use geometric mean as starting value\n",
" r0_2 = np.sqrt(tmp['r_vals'][-2]*tmp['r_vals'][-1])\n",
" tmp = iterative_scheme(q11, q12, q21, q22, r0_2, neff, tol2, maxiter, 'logml')\n",
"\n",
" return dict(logml = tmp['logml'], niter = tmp['niter'], method = \"normal\", \n",
" q11 = q11, q12 = q12, q21 = q21, q22 = q22)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Bridge Sampling Estimatation is 0.09036\n"
]
}
],
"source": [
"logml_dict = Marginal_llk(trace, model=BB, maxiter=1000)\n",
"\n",
"print('The Bridge Sampling Estimatation is %.5f'%(np.exp(logml_dict['logml'])))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A more complex example:\n",
"Based on the [bridgesampling R package example](https://htmlpreview.github.io/?https://github.com/quentingronau/bridgesampling/blob/master/inst/doc/bridgesampling_example_stan.html)."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"mu, tau2, sigma2 = 0, 0.5, 1\n",
"\n",
"n = 20\n",
"theta = st.norm.rvs(mu, np.sqrt(tau2), size=n)\n",
"y = st.norm.rvs(theta, np.sqrt(sigma2), size=n)\n",
"\n",
"# set prior parameters\n",
"mu0, tau20 = 0, 1\n",
"alpha = beta = 1."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"# Same sample from R, so it is eaiser to compare\n",
"y = np.array([1.19365332, 1.95745331, -0.72161754, -1.87380833, -1.16928239, 0.51960853,\n",
" -0.03610041, 0.42508815, 0.41119221, -0.81236980, 0.72967357, 3.48186722,\n",
" 2.31126381, 2.00029422, -0.27643507, 1.06882370, -0.95083599, -1.89651101,\n",
" 2.56019737, 0.23703060])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Set up the model and sample. You might notice that we are taking a lot of samples (a simple model like this I usually just take 1000 sampples with 2 chains). The reason is that a much larger number of posterior samples is needed to estimate the marginal likelihood."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"100%|██████████| 11000/11000 [00:10<00:00, 1030.16it/s]\n",
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"100%|██████████| 11000/11000 [00:11<00:00, 961.59it/s]\n"
]
}
],
"source": [
"with pm.Model() as H0:\n",
" tau0 = pm.InverseGamma('tau', alpha, beta)\n",
" theta0 = pm.Normal('theta', 0, tt.sqrt(tau0), shape=n)\n",
" obs0 = pm.Normal('y', theta0, np.sqrt(sigma2), observed=y)\n",
" trace0 = pm.sample(10000, tune=1000, njobs=3)\n",
"\n",
"with pm.Model() as H1:\n",
" mu1 = pm.Normal('mu', mu0, np.sqrt(tau20))\n",
" tau1 = pm.InverseGamma('tau', alpha, beta)\n",
" theta1 = pm.Normal('theta', mu1, tt.sqrt(tau1), shape=n)\n",
" obs1 = pm.Normal('y', theta1, np.sqrt(sigma2), observed=y)\n",
" trace1 = pm.sample(10000, tune=1000, njobs=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Make sure you check the model fittingb - there is no point to go further if the samples are not genuinely from the posterior."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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1j/lCna5Mgn1DnXcsdX4UtTrNWsawvNTqiFGvuVTLDr39mqf6rarhNzhbukhkIu7vPUhv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7MRUSlzZTSxncXhK0hpM9x0yMd64wxgIcnXB6nfEbxz9yTa4BClY0+F20w1Z6ieclicvdTW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\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yJlklaIZuKiNFkBCavNOyJtcwcGl6RWSRABsrKHBiEqP1IhERoyqtK+xU+hTZnbyoY5na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E4dnVOJiMiyU0ssERERERERERERERERaTpqiSUiIiIiIiIiIiIiIiJNR0ksERERERERERER\nERERaTpKYomIiIiIiIiIiIiIiEjTURJLREREREREREREREREmo6SWCIiIiIiIiIiIiIiItJ0lMQS\nERERERERERERERGRpqMkloiIiIiIiIiIiIiIiDQdJbFERERERERERERERESk6SiJJSIiIiIiIiIi\nIiIiIk1HSSwRERERERERERERERFpOrFGB3A66u/PhY2OQURERERElldvb9ZpdAxrRbOcU/X2ZgHo\n7881OBJpZqonMl+qKzIfqicyX6orMh/NVk8Wc06lllgiIiIiIiIiIiIiIiLSdJTEEhERERERERER\nERERkaajJJaIiIiIiIiIiIiIiIg0HSWxREREREREREREREREpOkoiSUiIiIiIiIiIiIiIiJNR0ks\nERERERERERERERERaTqxRgcgstz8IGD/0TGODhbYN3iUA4UDuDGfZBLi8ZBNnZ1ctvk8ejPdjQ5V\nREREREREpOGKtRK7h/dQC2psb99Ke7Kt0SGJiIiIAEpiyWlkZKzMbQ8d4taH95JL7MfrPoTXNgTx\neoFK9HgoD7cc/AYZOjivZydXnfkSNrT0NTJ0ERERERERkYbZN3qAUq0EwFNDu7l0/UUNjkim84tF\nik9awlqN9JlnEuvobHRIIiIip4SSWLLqVao+//T9p/mvB5+Fnn3Ez3qShOefdL0Cw/xo4G5+1P9D\nrui7nDfuvJp0LH0KIhYRERERERFpHmOVsUaHICdR3ruHoBQlGgvW0nb5FQ2OSERE5NRQEktWtaND\nBT7x1Uc5MDhI4sxH8Dr7n1PGq4UkqyHxWkC8BuW4Q67FBceJCjghdx+7m/uOPsR15nW8dNMLccaX\niYiIiIiIiIg0WG10tNEhiIiINISSWLJqPfBUP5/69ycoJ46SOu9hnER5Ylm6FPC8AzUuPOiQPTIE\n4YnrjqaS7OtLcGCzw96NCapxl6pT5B+f/BK7BnZz4wvehOd6p/gTiYiIiIiIiIiIiIjIOCWxZFV6\n6OkBPv6VR3BaB0mYe3HcKEvVnqvxsgfy7Hi2ghOGs67fVipz/r4y5++DQtLlrgtaeGxHitB1eHDw\nAf7o7mF+9bIbScWSp+ojiYiIiIiIiIiIiIjIFG6jAxBZqP1Hc/zN1x+DVI7E2fdHCaww5MJdBa6/\nZYgzD5bnTGBNlykHvPpHOd78rSE2Ha0AcLC0h4/e8ZeMVnIr9TFERERERERERERERGQOaoklq8pQ\nrsxffOlhKk6OpLkXJ1ajPVfjx+7Osam/+pzybksL2UtfSHLzFtxkCieRoHLkMIXHH6O4+2nw/Ymy\nvcM13vjdYe55foY7L2hh2D/G7935cW5+yf+kNd5yKj+miIiIiIiIiIiIiMiapySWrBrVms/Hvvww\nQ8Ucyefdh5Mo0zNU5Q3fGyZdPrHlVerMs+h67U/Scu55OLHnVvPun3w9frHI8Hf+g8Fv3UJYqUws\ne+HjBdryPt+5oo0xhvijO/+WD7303SS8+Ip/RhERERERERERERERiag7QVk1vnHXPvYdyRHf+jhu\nOs+641Wu++6JCSwnkaD3TW9mywd+k9YLLpwxgTXOS6fpfv21bPvd/0328hedsMzsK/PT3xsmVQ44\n7h/mT+/+e4IwWLHPJiIiIiIiIiIiIiIiJ1ISS1aFo4MFbrl7P27HMWLdR1g/ELXASlUmE1jJM7ay\n9cO/Q+dVP47jzr9qx7u62PBLb6fvhreB503M39Rf5Y3fGSJVDjhQfpq/f/DLhAsYa0tERERERERE\nRERERBZPSSxpemEY8v++8yS1sEJ86+P0DFW59nvDJKuTCaXUjjPZ/P4PkOhbv+j3aX/py9h80/tw\n0+mJed2jPtfcNoJXC7l/6B6+s+eOJX0WERERERERERERERGZHyWxpOndZ/t5dM8g8S1PknIKvO4H\nIyRrkwms9NnnsPm978fLZJb8XpnnPZ8tv/EhYp2dE/M2DlT5iTtHcIKQr+/5d54Z3r/k9xERERER\nERERERERkbkpiSVNrVSp8cXvPoXbOoTXu4+r7h6lY2xybKr0OYZNN70PN5WeYysLk9y0iU03vf+E\nFllnHazwivvGAJ+P3/8ZCtXCsr2fiIiIiIiIiIiIiIg8l5JY0tS+e99BhnIl4tse4xJb5MyDlYll\nsa4uNv7yr+Amk8v+vslNm9j47vfgxGIT8y54qsgFTxYpM8Zf3fcPBGEwxxZERERERERERERERGQp\nlMSSplWp+nznngN4XUfYPDbISx4cm1zoeWx4x7vwWltX7P0zZifr3/Y/Tpj3sgfG6DteZW/hab75\nzPdX7L1FRERERERERERERNY6JbGkad3xyGFGCxVSvU/z43eO4k4Og0Xvm36O9I4zVzyG7Asvo+e6\nN0289gK4+vYRkpWAW/Z+m/2jB1c8BhERERERERERERGRtUhJLGlKfhDwzR/ux+3o54o9R2krTHbd\n13rpZXS86jWnLJbOn7ialgsvmnjdng94zd2jQMBfP/APVPzK7CuLiIiIiIiIiIiIiMiiKIklTeme\nXccYGCmyru0JLt5VmJjvZLP0veUGHMc5ZbE4jsP6G95GrLt7Yt5ZBytcaIuM+oP8s/33UxaLiIiI\niIiIiIiIiMhaoSSWNJ0wDLnlrv24rcd55eOH8SYbYdH3pp/Dy2ROeUxeaysb3v7L4HkT817y4Bjd\nwzXuOnI3Txx/8pTHJCIiIiIiIiIiIiJyOos1OoDFMsZ0AR8GrgU2AAPALcDN1trD81g/CfwGcD2w\npb7+N4DfstYOrFTccnKP7hnkYP8Y57Y9yNYjk131eTu2kb3ixQ2LK73jTHrf+Cb6/+mLAMQC+LG7\nR/mnqzr5v49+kQ+/+P20xlsaFp+IiIiIyHwYY8KTl2K7tXbvErbRaa0dXlBgIiIisibV/IBCuUZr\nOo57CntfEpHVYVUmsYwxaeBWYCfwceBe4Gzg/cCrjDGXWGuH5lg/RpSwekV9/fuAS4F3Ay81xlxk\nrdVARw1y24OHSKQGuHLXkYl5oeOw+Rfedkq7EZxJx2uuIv/wwxSeeAyAvsEalzxR4N5zHf55179y\n4/lvbmh8IiIiIiLz8DNzLPsDoB3on8d2CG8FjQAAIABJREFUHie6sXAm+YUGJSIiImtPzQ94ePdx\nKjWfbCbBudu6Gh2SiDSZVZnEAm4CzgfeZa39xPhMY8xDwFeBm4H3zrH+O4BXA2+11n6uPu8fjDED\nwI3A5cAPViJwmdtovsJDTw9wRfAA2cJkP4Kxl72I5JYtDYws4jgOfTf8Int/+0OE5RIAlz+SZ8+m\nJPfxAJcNXMh5Pc9rcJQiIiIiIrOz1n5ppvnGmGuBs4AbrLXzSUL1z7YtERERkfk4crxApeYDkCtU\nGCtWaU3HGxyViDST1Tom1luI7uz79LT5XwcOAtcbY+ZqsvMu4Cng81NnWmt/11q7w1qrBFaD3Pno\nEdywwCUHJlthldNxtr3x+gZGdaJ4dw+9b/rZidfj3Qo6QcjnH/8SxVqxgdGJiIiIiCycMSYL/CXw\nA2vtZxsdj4iIiKwN+VL1hNeVqt+gSESkWa26JJYxpo2oG8H7rbXlqcustSHwI6AX2D7L+pvr63+7\nXh5jTOokSS85BcIw5PZHDnNx5X4y5cku9sNXXIGXyTQwsudqf/mVZJ537sTrvsEaF+0qMFbL8ZWn\nvtHAyERERERktTPGJIwxFxhjrjLGrDtFb3szsJHohr8FMcY4xhgNDisiIiIiIstuNXYnuLU+PTjL\n8v316Q7gmRmW76xPdxtj3gP8an2bZWPMt4D3W2ufXq5gZf6eOTzKsWMjXHdk78S8YtLFvPZnZ1+p\nQWbqVvCKR/I8tTXFnYd/xCV9F7Cz6+wGRykiIiIiq0k9YfWHRGNWpeuzfxr41/ry7wMftNbevQLv\n+y7gc9baRxawao8x5nPAG4AWY0wO+Fo9xmeXElNvb3Ypqy+7ZotHmtNqrifZQvqE16v5s6wGi/r7\ntqWWvg1ZVdbKd3x0tIzvTLaz6O5upacjPccaMt1aqSuyNKu5nqy6lljA+F+7MMvy/LRy042PDvhW\n4O3A7wE/BXwSuAa4wxizYRnilAX6wUOHubD4KC3lyWbDQ5cZUpnWBkY1u3h3Dz3XvXHytQ+vuDcH\nwD888SUqfqVRoYmIiIjIKmOM6QLuJDpPCYEHpy3fDrwY+LYx5tznbmFJfh1IEZ0bLcTz69PriRJv\nXwV+AbjLGNOzfOGJiIiIiMhatRpbYi1Voj7tA86z1h6vv/5XY8xRohO39wHvb0Rwa1W54nPfY4e4\nYfCJiXmlhMP2q69rYFQn13Hlqxi943bK+/YCcOazFXYcKPPMliFu2fOfXHvWaxsboIiIiIisFr9F\n1JvE7wMfBTYwpWcJa+0eY8wrgFuBDxCNE7xkxphO4J3Avy+wR4qrgX5r7X1T5n3JGHOA6LO8D/jg\nYuPq788tdtVlNX7HarPEI83pdKgnudETx3ZezZ+lmS2lroyOlk6coe/otHU67FMWYmSkyGhusn4f\nPz5GWK01MKLVY63VFVmcZqsni2kRthpbYo3Wp7P1ud46rdx0Y/Xpv05JYI37dH165eJCk8W61x7j\n7OO7yJYnB3Pcff46zug9s4FRnZzjuvT9wg3gTA6pduV9OeLVgP/cfxvPjh1uXHAiIiIispq8Hvie\ntfZD9bF/w+kF6t0IfgV45TK+788DGeCzC1nJWvutaQmscZ+oT1+z1MBE1oqaH/DkgWEe3j3AUK58\n8hVERE4jYficQx4RkROsxiTWHqITus2zLB8fM+upWZbvrU+9GZYN1LfdttjgZHF+9PhRrhiZ7H6/\nHHfofM1VOFOSQ80qtW0bHa989cTrbCHgikfyhIR8YdeXCMKggdGJiIiIyCqxCbhjHuUeA9Yt4/v+\nDFAGvrlM2+tH51QiC3L4eIHBXIlCuYY9MNTocERERESayqpLYllr88DDwMXGmBNGtTTGeET9xB+w\n1u6fZROPAyPAhTMs2wI4wMHli1hOJl+qUnz8EToqk90XPHJOhku3XtHAqBam+6evw2vvmHh9oS3S\nNVJj7+gBbn92WcfdFhEREZHTU5XZe5uYqpPJcYCXxBjTSnT+dJe1tniy8lPWO98Y83ZjzBkzLD6b\n6JxqtvMxEZnm2YGxkxcSEZlBGARqySQip71Vl8Sq+zRRlxdvnzb/eqK7Ej81PsMYs7M+CDIA1toK\n8AXgEmPMNdPWf3d9+m/LHrHM6oH/z959x0mSl4f9/3SYPLMzO7Oz+Tbe7XcvcFwC7g44opBAgBAc\nEggsCeX0sxXxy7KxsILlnwU2lhWQZdnIkkAGiRNIRxASSTqO27vbu8373d3ZybGnc3d1d0X/UTM9\neSdVT0143q/XvKaru7rqmZ7qVM/3eb7XJnlpdmYuLDcC9ivuo7V+Jd/hN4dYUxN73/MD1eWoB695\nPg+ex+d6vkimkg0xOiGEEEIIsQW8CLxTKdW01ApKqS789n/nA9rnvUAdcPFWK83/TgXcA3wc+PeL\nrD49D9ZnA4lQCCGEEIuqjAyTf/YMxQvncE0z7HDWbCt0YRJChCsedgBr9HHgfcBHlFJHgeeAu4Ff\nBC4AH5m17hVAA6dnXfdrwHcCn1FK/Sf8FoOvB/4F/pfHj9c4fjHLhRdu8LrCSHX55qEGXnrHoyFG\ntDatD72Mpm/cSemqn5A7MmZxYsjk5m0RnrjxJB+4+weW2YIQQgghhNjB/gfwZ8A/KaU+BEz3FGtR\nSin8OaZ+CdgH/HJA+zw19btvmfXmf6f6DPAjwI8qpfYAX8Bv1/7OqTj/AfjjgGIUQgghxDye51EZ\nHATALZWpDA3RdOJEyFEJIURtbMlKLK21BbwJ+O/Au4BPAD+EX4H1Wq21scz9E8DD+JMX/wT+F8bX\nAP9l6v4rbqUh1qdYtmi+dGbOgXhVtXFX56kl77NZRSIRvxpr1giSx87midkez42/yLV0T4jRCSGE\nEEKIzUxr/RfAHwAPAH+HPz+WB/w5fkv03wWOAX+otf5kQLvdPfU7v8pYbeBtwK/gJ8J+F/go0D11\n3Vum1hFCCCFELcxrIWhPJkIKRAgham+rVmKhtc7hV1794jLrLVqTOpXI+kkWtiQUG+iFK2O8JHu9\nupxpjdFxz33UxepCjGrtGg7fRsfrXk/mq/8IQHvR5YGrBs/e08Knr/0N/+ZlP08sGgs5SiGEEEII\nsRlprX9OKfV54MeBV+C3SveAMeAZ4E+01l8JcH//FfivK1hvwXcqrXUZvwPGRxbeQwghhBBCCCGC\nsWWTWGJ7GPrnp3nAKVeXz9/RxAP77g0xovXrevv3kjvzDG7Bn5z3ZZeKXDneyCjjfH3oKd5w5LGQ\nIxRCCCGEEJuV1vrvgb8POw4hhBBCCCE2O6dUwjMrxHa1y/xq29iWbCcotgejbLHn2tnqsh2F67e3\nclenCjGq9Yu1trLnHe+sLtc58KoX/YTWk71fIVPJhhWaEEIIIYQQQgghhBBCbHlOPo9x4TzG1auU\ne3vDDkfUkFRiidCcf+YyR0pj1eVrRxs5eeBOGuMNIUYVjPbHXkv2G1+rTrKp+iucv8NkZC88ceNJ\nPnD3D4QcoRBCCCGE2EyUUquZ58rTWr+vZsEIIYQQQgixyZV6buBNzQ9nJSZoOnEi5IhErUgSS4Qm\n89RTdM5avnBHE9+59yWhxROkSDRK93vfz9B//u3qda99rsCnvms3z42/yGsOv5IT7UdDjFAIIYQQ\nQmwy71nBOh4QmfotSSwhhBBCCLFjuZVK2CGIDSJJLBGKimnTNXCpupzcFSOxp4F7uu4MMapgNZ9S\ntL38YfJnvg1Ad8bmnp4yF+5o4q+uf55ffvBniUako6cQQgghhADgA7e4bR/wIPB24D8BX9+IgIQQ\nQojtxHU9olGZM0cIIbaaQJNYSqmfBT6ltU4FuV2x/Vz71gu028Xqsj7WiOq6g+a6phCjCt6ex7+P\nwotn8UwTgEfOFbh2pIH+3CDPjr3AKw48GHKEQgghhBBiM9Ba/+ly6yilHga+DHy19hEJIYQQ24Pr\neej+NFnDpLu9iZOH2sMOSayR6Vg4nk1TfHudPxRC3FrQZSD/HRhRSn1WKfUOpVRdwNsX20T6W9+a\ns6yPNXJ/9/ZoJThbXWcnnW95a3W5yfR45LyfvPtczxepOGZYoQkhhBBCiC1Ga/1t4LPAb4Qdi9ge\nipZBT6aPkcJYdU4JIYTYbpLZMlnDP/+SyJYolq2QIxJrUTCLXJi8zKXJqwwXRsMORwixgYJOYv0R\nkAXeAfw1MKqU+v2pEYNCAOBYFu39l6vLI3vi5Fvj3Lvn7hCjqp3d3/ld1O3pri6/5EaJroxN1szx\nlf6vhRiZEEIIIYTYgnqA+8IOQmwPN7N9pMtpRgqjZCrZsMMRQmwjrudSsku4nht2KOSKcwcQG2U7\npEjEevTm+vGmjqfRwljI0QghNlKgSSyt9U8DB4A3Af976uqfBp5SSmml1L9TSh0Lcp9i6+l76jma\nnJmJ9/TRRk60H6W1viXEqGonWldP9/fPzNMd9eA1z+XB8/jKwDdIltIhRieEEEIIIbaYe4D6sIMQ\nW5/jOlTsme9lvbmBEKMRQmwnnudxNXWdS5NXuZK6tikSWWLrm/2eJYTYWQKdEwtAa+0C/wD8g1Lq\np4DvAL4fvzrr14EPK6WeAv4U+IzWOh90DGJzSz31FNPdh90IXD/ayHd0nQ41plprue8Bmu+6G+Py\nJQBum7C4fbDCjSMRPtfzBX7knveFHKEQQgghhAiTUuqxZVbpAN4MvBt4ofYRCSGEEGuTqWQxLAOA\nklUiXc7Q1dQZclTbm4e0hBVCbF+BJ7Fm01rbwBeBLyqlGvATWf8ReNXUz8eUUn8BfExrrWsZi9gc\n3HKZlv6r1eWB/fWUGqPcvc2TWJFIhO73vI/+D38IXAeAx84W6DvYwPMT53hN5pWc7DgWbpBCCCGE\nECJMX4dlz0BFABd/cKAQQgixKZXs8pzlsiMVNEIIIdYu6DmxFqWUehD4TeB3gGP4X75ywHXgJ4EL\nSql/vxGxiHCNPX2GuDvTe/jqsUba63dxqPVAiFFtjIaDB+l4/Ruqy22Gy4OXiwD81fXPSXm9EEII\nIcTO9s1b/HwD+DLwB8AjWuvPhxWkEEIIIYQQ253nuljJJE6hEHYoghpWYiml9gL/Avhh4C5mRg1+\nBfgE8ITWuqKUegT4Q+DXlFJ5rfV/rVVMInyJf36KpqnLVgxuHq7nZV2niUQioca1Ubre/j3kn3ka\nJ+930XzoisHlE00MMMyZsbM8fOChkCMUQgghhBBh0Fq/NuwYxM7medKKSgghhBACoHTjOnY6DRFo\nvvMu4m27wg5pRwu0EkspFVdKvVMp9XlgCPjPwN3ADeDfAke11t+ltf5LrXUFQGv9NPAI0AP8fJDx\niM3FLZeoH7hRXb55qAGrLso9e7Z3K8HZYs0t7Hnn49XluAOvfsHP6H+u54uUZZJKIYQQQgghhBA7\nSKli0zuaYyJthB2KEEIIAeAnsAA8KPf0hBuMCLwSaxToZKZd4KeBT2itv3WrO2mtS0qpT+EnusQ2\nlTt3jpjnVJdvHGkgFomhdt8eYlQbb9crX03mG1+n0tcLwB2DFQ6PmQztz/OV/q/xtpPfFXKEQggh\nhBCi1pRSP7ie+2ut/09QsQghdpbhySKDE3laGus4fWQ3dfENmWliSXogQ9nypx1oqIvR3toQajxC\niGAUrCKDuWHi0RhHdx2hPlYXdkhCrIlbkaKDsAWdxOoEvorfLvCzWuvSKu57BvjjgOMRm8jYt85U\nS//sKPQfqOf2juM0xhtDjWujRaJR9r73fQz+9m9Wr3vN83k++eZO/mHgmzx68OV0NXWGGKEQQggh\nhNgAnwDW0r8tMnU/SWIJIVbNdT0GJ/z29sWyxchkkaP720KLx7ScagILoHc0z313SBJLiO2gJ9OL\n5VgADBdGON5+NOSIthfPdfEch0gsFnYoQtRc0EmsY1rrwbXcUWv9JPBkwPGITcKzbdxrl6pJrKF9\n9Vh1Ue7u2jmtBGdrOnk7bY88Sv5pv0hxT9bh3uslzqkIT/R8gR+75/0hRyiEEEIIIWrs11lbEkuI\ndXE9F9t1iEXCrb4R4XBcd87yZLYcahJrPlfmZhNi25hOYAEkSylJYgXIrVQwrlwm0hCh5fhxaGwP\nOyQhairQJJbWelAptQf4TeBZrfWfzL5dKTVdafWvtdapIPctNjfjmiZuzZRe9tzmj6zaqUksgO53\nvZvC2efxpkpSHz5f5NrRRl6YOM+NTC+3dxwPOUIhhBBCCFErWusPhx2D2Hkc1+Fq+gYly6C9QU54\nidryPI9IJBJ2GEKIGvM8DzyPSFQGR2yUyuCA3+KuoZFiby/ceV/YIQlRU4G+ukwlsJ4FfhxYbKKj\nPcCPAs8rpfYFuW+xuSWfOTNn+eaheroaO9nX3B1SROGLd+ym661vry43Wh6PnisA8FfXPo/ruUvd\nVQghhBBC7FBKqQ8qpc6GHYfYmhKlJCXLACBbyYYczeq4lQp2LuefLBWbXs9IlmeujHO1Py3/MyG2\nMbdcovjiC+SfO4OZmAg7nB3DSibDDkGIDRV0O8F/DxyZ+v3xRW5/H36C66PArwE/E/D+xSbkeR7F\ncy8y3aF1tCuO0RTjoS6140dldbzxTWT/6ZtYE+MA3NNT5vKJRgYZ5pnR53nk4MtCjlAIIYQQQmwk\npVQbcCew2MSxu4H3AmpDgxLbRt4shB3CmrjlEsWLF/Ech7rOTpruOBV2SOIWCiWLRMafIj1TrJDM\nldnT3hRyVLVVNm2Msk17az0xqUYRO0i5rw/XNP3LN29S37035IiEENtR0O+s7wT+Wmv9W1rrBSlh\nrbWhtf5vwGeBtwW8b7FJVfr7iRVmRvndPOy3EryzU754ROvq2Pve98257g1n8kQdj8/1fImyXQ4p\nMiGEEEIIsdGUUv8JSABPA19b5OezwEuBc2HFKEQYygMDeI4DgJVK4dl2yBGJWzHK1pzlXNFaYs3t\nMTFgxXK4cDPFtaEMV/rSYYcjxIays1urqlcIsTUFncTqBl5cwXovTq0rdoD8C8/NWe453EA0EuWO\n3SdDimhzaXnJvbQ+9PLqclfW4cErBnkrz5f7vxZiZEIIIYQQYqMopX4S+CBQB/TjJ6oiwHVA45/r\nHQP+C/B9IYUpdoBSxWYibWBaTtihVDmFuRVknrReF5vI0EQBx/WPyULZwihLklUIIYQIUtBJrAng\nthWsdwqQ5p07RPrZ56uXU7tipNvjHN91hKb4Yh1Sdqa97/0BIk0z7RVefrFIe97mHwe+yWQpFWJk\nQgghhBBig/wYkAbu11qfwO9yAfBBrfVd+N+hegBHaz0YUoxim7Nslws3k9wczXGpNyVzGYma2w4T\nDJTNuQnf6YSW57qU+/soXb+GYxhhhCaEEEJsC0Ensb4M/Aul1GNLraCUej/wA8A/BrxvsQmZiQmY\nGK0u3zwkrQQXE2/voPvxmQG1cRdefyaP49o8cePJECMTQgghhBAb5E7g/2itz08tz8keaK1vAu8C\nfkgp9SMbHZzYGUaTRdypxFXFdsgUzJAjEmLrssbHMMfGsFIpyjdvhB2OEEIIsWXFA97efwAeB76m\nlHoev21gGmjAbx/4GuAAkJ9aV2xzxQvn5yxPz4d1uvOOMMLZ1Npf/Rpy33qKco//4fbIuMVdN8u8\nGLnA9XSPtF8UQgghhNje6oDxWcvTk8hUy/W11gml1P8Ffgb4XxsYm9ghTHtumz7HkbZ9YvWkfs9X\nHhioXnaKUokVJjkmV8bzPEzbpS4eJRrZDnWSQojtItBKrKm2Fo8AZ4GH8Fti/ArwL4H3Agfxe7u/\nXmvdE+S+xeaUOzcz53SpPsJYV5ymeBNH2g6HGNXmFIlG2feDPwzRmaflY2cLtBYd/ur63+JK33ch\nhBBCiO1sAlCzlienfs8fyTSB31pQCCG2PEkuCLF5XO1P88L1BJf7UtWqXCGE2AyCbieI1vqK1vpl\nwP3ATwD/DvhV4EeBl2qtH9Banw16v2LzcS2Lsr5aXR7YX48XjaB2nyQWjYUY2ebVcOgwXW/7npll\ny+MNZ/IM5Yd5euTZECMTQgghhBA19k/Ae5VSv6CU6tBam8AQ8AGl1O5Z670BKIYSodjm5ISlCMZO\nq9/w5Lmz6e20Y3ItsoUKWcNvIVsoWSSz5ZAjEkKIGUG3E6zSWp/Dr7oSO1T5xnUitlVd7j9YD8Bp\nmQ/rljrf/N1knnsOZ9ifr/vYqMndPWU+V/dFXrr3HlrrWkKOUAghhBBC1MBvAm8HPgJcA54EPgl8\nELiolPo2cHrq57NhBSl2ENfFLRbw2uqJxGQQYpCcQgE7myXe2UmsqWn5O6yTZ9t4jkO0oaHm+xJC\nbE1GxZ6zXCxbdFP71ychhFiJmiSxlFIdwO34/duXHPCgtf5mLfYvNofCxQtzlgf2+0msO2U+rFuK\nxOMc/rGfoPc3fo2o67cQfPXZAgMH6vl8zxf5gdOPhxyhEEIIIYQImtb6slLqlcAvAL1TV38YeBnw\nOuB7p667CvzShgcodhbPo67vGlYiSjG5i5Z77iUSDbyRy47kWibG5Uv+3DNjI7Te/2BN9+cYBsaV\ny3i2TcPhw0T3Hajp/lZrO1TIRLbFXyGE2CqKZYuxZJF4LEprWyNReQkKnCftNDedQJNYSql24BPA\n21j+s4gX9P7F5pJ9caYQL9ERp9gcY09TF3uaukKMamtouO02Ot7ydnJ/9zf+su3xhmdy/E3zMzxy\n4GUcbz8acoRCCCGEECJoU90sfnjWchl4g1Lq5cBxYBj4ttbaXnwLQgTA84jmM0TMMrQ045bK2Mkk\ndd3dYUc2YwufWzJHR6snxzzbwU4la7q/ytAgnm1PXR6iaQOSWFv43yOEEJve9aEsbtnvfJXNl9m9\nqzHkiISovaCTSL8DfA9gA5eALPL5ZUey0mm88ZHqcv+B6VaCUoW1Uvve+lYmnzlDfcJ/HI+OWdzT\nU+Yv257ggw/9fzKvmBBCCCHENqKU+rfAn2ut++ffprU+A5zZ+KjETuPls9Rdv0pkqiPENLcsc6ME\nxbOductubU+Z2On03P3J6HKxSRXMIr05/y3wZPtxmuuCa2UnR73YTsqmTf3U5bGkIUkssSMEncR6\nK/7kww9rrUeWW1lsX8ali3OWp5NYd+6WJNZKReJxTvz0T9H/Gx8m5s20Ffzz/YN8c/hpXnfbq0KO\nUAghhBBCBOg3gF9XSj0F/BnwGa11JuSYxE7Td2NBAktsM5ssibW5olkbb1v8FcEYNxKMFsaw3dUX\nDPdke7Ecv7rkZraPe/bcGXR425schkKIbSzoptadwCclgSVy52daCZrxCKPddUSIcGr37SFGtfU0\nHzmC86o3VZfrbY83PpPj73q+RLos5zSEEEIIIbaRjwIDwKuAjwOjSqm/Vkq9QylVF25oQohaKffe\nJJqpbUvBjSbTs+xMjuswmBtaUwILqCawAMp2sNWfckwGp1Sx6R3NMZYydlRlp1upULpxnVLPDVzL\nDDscIXacoJNYw0Ax4G2KLcZzXYzLl6rLQ/vqcGIRjrQdDrQcfKe4632Pk27bW10+Mm5xh87yf689\nsaM+MAghhBBCbGda61/RWh8HHgF+F0gA3wv8NTCmlPq4UuqVYcYoxGbjeR7pfIVi2Vp+5U0sPjZI\nxCiEHYYQ62K6W/t5KFbm+lCG8bRB31iOdL6y6vs7rkumUMGa11p1s6sM9GMlk1iTk1QGh8IOR4gd\nJ+gk1l8C75KRgjtbufcmkXKpujzdSlB1ShXWWkTjcfb+8I9hR2aerq96oUB/30XOTpy7xT2FEEII\nIcRWo7V+Rmv9C1rrI/hVWb8PlICfAL6plLqplPqNUIMUYpPoG8ujB9NcvJkiW1j9ydTNJD4+HHYI\ngVnNUMvtUCET2RZ/hdjyNuAwdD0PozJTaXdjOLvqbVzqTXN1IM35niSWvXXa11qp1MzlxESIkQjD\nKnEj08tAfgjPq9ExtETRgOd5jKcMhhIFbGfrHL/bQdBJrP8ADAKfU0rdE/C2xRax1HxYp3afDCOc\nbeH4S08xeOfMHFjTbQU/rf+GgiXFj0IIIYQQ25HW+lta638J3AY8BnwM6AJ+NdTAxJYViWyvk+3j\naQPw5yS6PrT6k6nhWCLFE1CXDTufw87lAtmWEGILCaFRz2pftnKGiVHxK/Ysx2U0KeezxOrdzPaR\nKWeYKCbImfk5tzn5PKWbN7GStWnTO5Yy6B3LMZQo0DeaX/4OIjDxgLf39anfDwHnlFImkF5iXU9r\nfSjg/YtNIHP+/Mzl1hjZtjjxSIyT7cfCC2obeOgD38/FD13mQHkSgNvGLU5cnuSv9/wtP3TXe0KO\nTgghhBBC1IJSqgV4K/AW4M1AGwGcqlJKfQL4oVus8gta648ts41HgQ8BDwNNwDXgj4Hf01pL3+tN\naKu2I49Elj/obVdGRJvjY5T7+gBoPHqU+v0Hwg1oBbbmESm2GjnONgd7XuVV2dxaLQXF4txKBXN0\nhEhdPfUHDhCJBl0zM9fsOfOSpTTtDe3VZUNfxXMcrMQE0aYmYs3Nge67f3wmcTWZK3E77bdYWwQp\n6CTWw/OWG4D9S6wr7yHbkFsuYw/0VauYB/b7VVjH249SH6sPL7BtoGt3C9k3vovuJ/+Y+FS57Kte\nKPAXB85wad/93N2lQo5QCCGEEEIEQSnVBrwdeBx4E9CI3yjoMn411icD3N3P4M+/Nd+Ly8T4euCL\n+J04PgykgO/Bn8/rJPDzAcYohFiB6QQWQLm/f0sksbYDT05vCbGpTGRKTKQNOloaOLy3NexwtjUr\nlaJ0/Vp1ORKLUb9/qVRA7XnOTGLUHB6i6Y5TocUighV0Eut4wNtbklKqE/g14B3AAWAS+ALwIa31\n6Cq31QicA04Br9Nafz3YaHeO0o1rRGaNgBvc70+PpnbLfFhBeP13PsT/ffYsrx5/FoA6B77j23k+\n1fVX/LuHf5nGeEPIEQohhBBCiLVQSnXgJ4EeB94I1OMnrgbw5x7+pNb6/NJbWLMvaq371nC/PwDK\nwKtnff/6M6XU3wD/Uin1v7XWMoFww20ZAAAgAElEQVTrJnOrdoJyGl4EZXs1rdxaXM+lbFdojDcQ\njdS2GmIrkWNy57Bsh5sjfnvZQsliV0s9u1q2/6B6z/M2vGWwlUpSun59znXl/r5Qk1im7ZArmDTW\nx+nYLZ9stpNAk1ha6/4gt7cUpVQTfuvC08DvAc8BdwC/DLxeKfWg1nqpNoaL+RB+AkusU/HKlTnL\nQ3v9NwrVKUmsILQ21bHvzW9m+FO9HKr4bQUPJSyOnh/lb/d+iXef+p6QIxRCCCGEEGs0jv/9LAIk\ngc/gJ67+OdSoFqGUegWggP+5yADC38NPxr0ff6CgEGKHCfO0oemYuJ63KQd4Zis5egavE4/G2Bs9\nQFO8KfB9XEv3UDALNMYbuatLSSJLLMoxilT6+yEWo/HYcaL12yfJkytac5bH08aOSGKFYX4CKyxj\nxTEAuhq7GEmU/PbCxQr1XRbBNhMUYQq6EqtKKXUb8ACwD/j76dF9Sqmo1nq9zap/HngJ8LNa6z+Y\ntc9zwBP4SalfXGGcLwF+BXgBuH+dce142QsXq5cTHXHKjVEaYvUcbbstxKi2l+94+VF+++nX8u5r\nT1Dn+WWyj54r8KmD3+TBffdxov1oyBEKIYQQQog1sJhKXOF/f7I3cudT3SnsFe735VO/n17ktmem\nfr8ikMCEEFuT4xDNZ/AamqBj6dOIs+sGIkaB2NgAhWI7TXcoYq2rawOWqWS5kekFz+NY+xH2NHWt\nMXifO9XGf7lEUGSFdT7X0z207WrCdh16SwPcFfCUADkzT8EsAP6cMYlSkn3N3YHuYyvwPI+KY1If\nq5Mk3hLKPT04hgFAJRql6fY7Qo5IiLUzLH+OLMtOYLsz7zfjKYM9YQUlAhd4EkspdRr4Q+CxWVd/\nL9CnlIoBV5VSv6K1/pt17OYHgSLwJ/Ou/xwwBLxfKfVLy00mrJSK4k883A/8EfDxdcS04znFIu7I\nUPXj29A+v5Xg7R0niEVj4QW2zTTUx3jsDffxzWQfb5h8DvDbCr7x2zk+ue8z/OtX/Dx10Zrlp4UQ\nQgghRG10a61LIez3Z5VSjwPHAFcp9Szw61rrL9ziPsemfg/Nv0FrnVdKZYAT6wmqu7ttPXcP3GaL\nZ60macIxKoveFolAS3M99qwhp62tjexqrae5s5mWEB+D6K4mXHPmO2XnnlZiDQ3sasvOWS/s/9NK\n9p9PNVOuNM65rilZD431eG1NK97OonbN3W53d9uC63Z1tbFr3Kgu19dF6e5uo81oWnjfNbIiEVLn\nLoBRhEiE9mN7ltxexXLYNeYnXiKDmnhdlNbGGNGJQbqOv3zR+yxF91+lrc3/e5Negju7j635bzDM\nEhcnNJZrcXvnMfa1Lp0Mak+ViMRnjs+urlbaWxsWPPZts5ZjTd7qH+PF/r+zOIUybfbM/7GxNUp3\n18Y9JwwrTpu5eHVZZ3sL3R23jiWoY/DiuCZj5mitb+be/XcSjURJGhaVWa9tnZ0tdHe1rGn7JatM\nXTROPFb78y63egw8xyGyzDGxpLg7czxZRbq726h4kDZmxrHs7mhZsD3X9djVlqsuRyKwK7J0DPP/\np527WtmVnXkP6uhooru7jYm8iT0rGdzZ2Ur37oXH0kqOES8eY1du4T7Wba2PdQ3sassSaZxbXdbd\n3bbh7QTnPyazY6mlOcdB88zjYNkuTbMel4bm+jXHstTza7N97litrRbvbIEOSZiqvvpn4DVAD/B3\n81Y5BOwGPq2UemSN+9iF30bwrNZ6zqfvqaTVGaCblc3P9XP4IwR/Clj8k7xYsdK1q0RmNQ4Y3Oe/\ncJzafTKskLatx156kL4j9zHYuLd63cFJi/1n+/hy31dDjEwIIYQQQqxFSAksgO8E/iPw3cC/xW/T\n/ndKqffc4j7T34CNJW4vzlpnW6hYDtcG0vSN5nBdmWNBbGW1P35dy/QTWACehz249MwTnjcrHseZ\n2UYl3FM0N1J9mI6F58H1ZN8t191Urwh5A3qHIbGaGTa2j2w5R6bsJ1kKpsFEwZ+GIah/0s3UAM+P\nXODs6EXKU9UfO53neYzlE9xMDZAuZZe/gxAbzPM8EukS2cL2PvXvei43kn2cHbnAeCERdjiBC3rY\nwIeATuDHtdZ/opQ6Brxt+kat9YBS6mHgLP78Ve9awz6me6UtGPU3ZWDq9wng5lIbmUq4/RbwZ1rr\nf1RK/fAaYhGzFGbNh+VGYHivX4mldktZctDisSjveM3tfGbyUX508G/ntBX8y0Nf4f69L+FQ64GQ\noxRCCCGEEJvYR4FPAV+fNTjwC0qpzwMvAh9VSn06gFbwa5JI5MPY7QItbY04rse5K2Ok82ViyQlS\nTR4HTh0nVWcxbkzQUtfCsV23bYm2VZlMiXx5iXxpJELEMCmVzepVhUKZiOtSSRkYLeH9Twq5Eq45\nM8+Jm8gTbTDJ5ef+LbOPG9dzGS2OY7s2B1v2Uxerq1l80yObV3LcljIGVm7uye9S2cRzo1hTf89a\nj//cvO2SyC+4zpzMz3nc6mIxEok8+dzSj+VqpZPFOcdRPpldcnsVy6nGU182iUejMzGvMoYg/4bh\nxNwTgLfaVjZrUCjNHJ/JZAGzZC547PM5j7ZdTdVYx8YzmK5JY6xxRRUUi/1/Z0sW8pQu3ADHf9lO\n1e8m4a6vpeJqlOzygv/BtLRr0GTd+v8RxP8vYaTmbGfQThArN5HOGHOO+1Sqnpi7urc3z/PQ431T\nSyXOGpo7dq+r6HhJK3lN8VyX/DLHxFIWO5ZSqeKcx6i5LkKicW5XJdfz5qwTIcJoMsWEkfS3WzBo\nHU9XuwPN/58OlsbJ5WeeK3E8Eol6MhmDXH4mplSqAPbC7sYrOUZS2fLc17iIv4/1Wu75t5Fy+RL1\nU6+x05VHiUR+wyuxFjwm02r82Mw+DuLGzHuN7XhEZ7332IUKiUSe3tEc42l/3NWpwx10LlFBNttS\nz69bfe4I22QpRV/WT4uMJ9Pcv7eu2hltNZ9TNsJaKsKC/pT9JuDzWuvpNn8LxjporW/g93p/5Rr3\nsZJRf7PXW8ofAibwS2uMQ8yTu3ipenlidxyzPkpLXTOHWveHGNX29Yq79tF66ABf73qgel3chTc+\nneYvLn0Gx3VucW8hhBBCCLGTaa0vaK2/vEh3i8vA14GDwJ1L3H26l9BSvZhaZ62zZaXzFZ67Ms7Z\nqxOkCxUixTyxyVESg2MU9RUGsgNU7AqpUopUeWdWPWxm40aC0cIYCWOS/vxSY2CFCM/F5FVeGL/s\nz+MVALdYqCawALyRsQXrVEZGKF44T2V4OJB9bhVBnNofN+YmNrPmln+bC0TOnHtSvGQvXVjek+uh\n6GyOx81yLBJGkpItFXXb3XQCC+DaUGbRdSzXxnI3dDrawM1/jSo726vyLOgk1n78Kqvl3MBvKxiK\nqdYY3w38stZ6+9XXhcDOZmFitLo8tH+qlWDHyS0xInErikYivPM1J3m+/TQDjfuq1+9P2ux+/hpf\nG/rnEKMTQgghhBBb2PjU711L3D7d8eLw/BuUUu1AO3C9BnFtKD2YZnans/jEzElf067ArMqgCWNy\nI0MTKzCcH6lezpQXP2kVCm9TNZ8TIXE96BlN0T+W5/LwCOUgTqTPP7TmHWtOqURlcADHMKgMDeIU\ni4iVyZsFhvIrT/y5nsfwZJH+sTyWHfwA44rpMJ42arLtWpswR5ZfaYU826YyPIQ5MbG6+3kel1PX\n6M8NcDmpsRxr+TuJbStbyXE+cYnziYukN9PnBTFH0NmFIv58VMs5xNpH5q1k1N/s9eZQSnUC/w34\nhtb6f68xBjFPSV+dszy4z2/VcGr37WGEs2O89GQXtx/u4Ml9j2JGZsq8Hz1X4Bvnn5Qv00IIIYQQ\nYgGl1C6l1PuUUt+11CpTvweXuP1bU78X667x6qnfMqJqM7NsouOTRHKFsCNZE8/zGE5szdhXomxu\n7dHgi3HLJVzLwvVchguj3Mj0UjCLgVTIhC2yhr8ib5hULD8BYVRsUoWlmg0tz7Ntipcv4Vy/ccv1\n7HRq7nIqueZ9LiaM/+WEMcnNbB9503898Go0Q9lQfnWJl/GUweBEntFUkd7RYNt3ua7Hxd4kfaM5\nBicKuKtsi7hajutSKFm4SyTgy054lUylnhtUhoYo997ESqy8RiFr5rAcv+2c57mMGatLgolNao0v\nQtfTPXiei+d59ARUGbsWnueRLmcwrLnvB04+T+n6NSojw3Pnkdxhgk5iPQe8Wym1ZCJLKXUSeB/w\n7Br30Ys/vmTBqL8p03NmLTXy73eADuDDSqnD0z/MVIZ1T13XsMb4dqTc5cvVy04URrr9SizVKUms\nWopEIjz+2pNk69r4p677q9fXOfDqZzJ88spncL1QpjEQQgghhBCblwn8PvAJpdSe2Tcopd4IvAw4\no7UemrrutFLq+PQ6WusX8TtwvHvqu9T0fSPALwAW8Kc1/ys2ka12SiHeO0R0LEmsd5jISk6eb7JM\nQ7ZoMbiNk1iXetPrOlFl2g6DE3levD5JqTI/IRbC0WpZFM6do3juRZKpMUYLY2TKGW5ke7fcc2e+\nnJmnaK8+SVG25lbQVNaRuKyMDOPkw5/nxJt32XJcVno2Ilc0KZSsVR0PBbPIQG6QVCnNjUxvaOc+\nKoODFF44S3mgv3pd//jM/yOVDzbJM5ktYU21jXQ9j2yxdlVErutx4WaKi71JLvelFn/52MAnse26\njCSLDEwUMCo2dmamaqZ0s2fF23HmJf4sd3NVYlm2w2iySK5o4nkeE8YkY8XxLXN+z/Vcipaxtac5\nCSFZ1JcboCfTy+XUtWqbTs/zMK5prFSKyuAgTnbpSrFN9lEtcPGAt/cx4EngWaXU/w9Mp7JPKKW+\nE3gj8KP4bSl+dy070FoXlVLngQeUUo1a6+q7gVIqBjwKDGqtB5bYxBuAeuBrS9z+6anfr8PvBS9W\nIH/pUjUjOtZVhx2P0NHQzt6mPbe8n1i/U7d1cO/JLp67cZq78r0cqPijqY6Nmlx98QpP7T/Dqw89\nHHKUQgghhBBiJaba8b0deADYB/wXrfVzU7fdobVed5s+rXVZKfWvgE8AZ5RSHwfGgPuBnwaywE/O\nussVQAOnZ133M/jfqb6plPoYkAHeA7we+JDWeuVnk8TGchwozcyTEBsawz594tb38cB2XEYmi0Sj\nEQ52tRCNLn26JFvJ4+HS0dAeVNRz9I/lYFYniu3GchxyRZP21jWMrfU8ehPj5CslKGcgWeTEwdr8\nH1bLcxyGLz8LdxwBwHasLXNSdjHjRoLB3BDD5QLNXhft8c5Q4rDGx5dfCb8FXaZQobkhRn3dwtOB\nnutip9NEGxqItbYusoWVG5ksYlRsGutiHNp7621NZkvcGM4yWjLoaG2gu71xRfsYLMy093NcG8Mq\nrakqbj0co0hlxI/DHB0l3rGb+K6lOvEGw3amT677vx2nds+hiUypWhlaKFmMJINrQWl7FpOVHN2r\nyPGlchWKZT+ekWSR+7j1sVJ08hSLozTl93Go9QCRyNY4zX+lP4NR8RNre/e7pEz/OV52KhzbdSTM\n0FbkWrqHglmgPlbP3V2niUW31/t1NJMkWsjhtu/Gn1lpfVzPI29YjBcmicei4HnczPRx396X4Jkm\nnj0zyKHc20vr/aHN0BSqQCuxtNZfBD6IXyX1e/gJIQ/4KPAF4JeANuDfaK2/tI5d/QnQzNwvVgDv\nB/YC/3P6ivmjBoEfAd62yM/Hpm7/1anlC+uIb0exUimi6Zm2dUNTrQTV7tu3zBvEVvfOx07gRaJ8\nce8juLM+tD12Ns+XLn5eeroKIYQQQmwBSqnvx+888QngXwHfDxycuq0VuKCU+mgQ+9Ja/yl+wukG\n/negPwEeB/4CeGCq2upW938GeAy4Cvw68Ef43+R/RGv9m0HEKGpk/uBiZ2qk9DKjjvvH8owkiwwl\nCgwnCvRm+zmXuMhoce4J9AljkuvpG9xI32SkMBZg4JtH3jAZmSxW28HVgruGQeCu59KfHyRZzmB6\nFcbNoQUVB2GLlMJrPRa0wdxQ9XLK2tztyFzX48ZQlslsicGJ4qLHRbmnh9KN6xQvX8TOrXUGEL89\nolGxiVUqRIfHMUZTt1z/xnC2ejlTqNxizeCMJosMTRSw15kAml0JBGBcuYyZWNuxYCUnsRKJOVWY\nrueF1j4sQgSjPLdCcCjACtgJc5ikmaAn00vRXtl2s0Wzenm5h8X1XCbMYQzHYKw4TqaSvfUdNomK\n5VQTWADnh29WL08aK28B6pZLmBMTuKa5/MoBKjsVClPtPU3HZNxYeZvHLaFSJj42SLSQJT7cNyfB\ntFZ6IMOV/hQD44VqlaXtbr+2wusVdCUWWuuPKKX+Dr/i6hX4SSUPf2TfM8Cfaq2vrHM3H8dvSfgR\npdRR/DaGdwO/iJ98+sisdeeMGtRaf3WxDc5qo/G01vrr64xvRyldmz8flt9K8NTuk2GEsyMd2dfG\nw3ft49uX4du77+bR9EUAmiseL382xV/u/yw/de8HJKkohBBCCLFJKaUexU8gWcD/wk9m/casVZrw\nW/j9vFLqBa31n693n1rrr7F0h4rZ6y36IXKqQuwt641DhGyF50cT2VL18rWJUdq7/RH5w/kRuho7\nqY/5gxkHcjNTqY0URjnYuvZRypWREazxMVxz87R6miik+Nb1G9RHG9mX3M8Dp1YyLfjGyJv5BckJ\nx9u4dk5DEwWGJ4t4VoX6DdtrsDzPI5ktUyhZtDbVhR3Oyqzga34qV8b2XOL480Zl8hWa561jTc+R\n5UG55zqt9z+4pnAs2wXPo214jIjjEC0beAePzcxgH4CSXV60VdlK58TyE20FKrbDyYArFcs3b0Lb\nsVlBef5jG4lSt3vxCorKyAiVQb+hVEO5DHvvYmSywNkrE9TXRbnz6G4a6xc/hVur0zy1ml8M/OdZ\nxS1Th/8cGysPs7s6O0wwLG9u8makOM7uxo5A91EL85OWa0m0upZF8eIFPMclWl9Hy30PLHs+0HNd\nzNFRPLNC/cFDRBtuXQlcGVl8njhnXvLFsEuLrjeb7bg4rkdDXbAVW7U4gmOpuUk5K5Wifu/eNW+v\nYjpki37y3vE8UrkK+3Y3rSvG7SrwJBaA1voq8Cu12PbU9i2l1JuADwPvAn4Ov3Xh/wR+TWu99hkx\nxaplL8/kJO2o304Q/EossXHe8erjPHt1gm/tvpfThX46Lb9/6p19Za5eOMdz+17kZfvvX2YrQggh\nhBAiJB8EysDLtdaXpwbrVSuatNaJqfmqrgA/Dqw7iSXC5TkO5sgInufScPAQkXhNvp7XRMHJ0j7r\ndIJhG9THgj0R7Jpm9aTuZuF5HmcGrlJyTUquQX2lgbzRwdpPXwUrWUpv2L5s18b1vGry0rIdhiY3\n9zxlI4UxRovjtNa1cHvH8UVbXA2MFxhNFRktGeztaKK9Zaum4+Zy5pX2LVfpt5bE8exT5DHTJOLM\nJJmcoRHYF8xA5/7cIAljcsH1ZdPmxmiWRKXI3t1N1MWWbz6VyJRWlsRaR6IoNjlOqeBXIHpHj1K/\n/8CCdWa/1lVGhuGBu7g+kMHDo2I59I/lUUe2bwuxIJLtrusuk/CpfUWbZ9uU+/vwHIeG244Qawon\nGWGNjeJNz5tmWtjpNHWdt253aiUSVIb8QShuuUzznXctua5n24G9P5cqNpf70liOw+E9rRxepv3o\nqqyninEDKiBLdglrXsFVLSu8t7qt8yl5Hq11Dr/y6heXWW9FbzVa60/gt+0Qq1S4cpXpj37jXXU4\n8Qh7m/ZsiREO28ne3c08dt9BvnZ2mC/ufYT3Df999bY3PJvnswef4HTnHbTVB/iGIIQQQgghgvII\n8Jda68tLraC1NpRSf4XfIl2EKIiB7+bISHUuFc+yaDq5eQYBFp08JbdArNxOa9NilVS17/DgFDZf\nQsRy7TmVTik7gesdCy+gkBTMItcyPbiuw5Fdt7G3eQ8Va3O1LZzPcm1GCqOAX7GWKCXZ37Iw/Tia\nmpnzZyJTWlESa6PnYdoS5p//XWNbS9fz2yDmDZMDXS3s72paNIEF0DuWo1iyMCybRKbEwa6WNe1z\nPn8uMRNi7ooSY/PFkmNwyD8/Vu7vXzSJtZz0BrVZDJzjEskX8BoboHENc/ytUKliM5osYl5LsLut\ndvtZTmV4CGvSPz49y6Ll7ntCiWNBC0Fn+cRIua+3enm5dqJBtijsG8tjTcU3NFkINom1BNMxKVoG\nu+rbQpuvayA3xISRwHbAdDupj4Z33G4VgSaxlFLfWsXqntb6lUHuX2w8O5sllp4ppRze64/COtW5\neb6A7SRve/QYT10YZZD9vLjrDu7L+fN+7yq63Pt8gs/s/Rw/cs/7Qo5SCCGEEEIsogPoW8F6k7Cg\nC5SoBdeB/h4iJYNoyyIj4Nc5Snc6gQVgTU5umiSW4zkUHb+rQ8kuUbAMGkOOSWwuPdle3KlWbgO5\nQfY271nmHuGznLknXZPl9KJJrLUIou2ah9/OqzIwgFPIUb//AHV7VteqcjVReB7kiiatFZumhs07\nvn0yUyKV96uYBibydLYv3eKxWLZmXQ5mPhnHdblwM8loqYhNmWP7dxENOWcZzgxZq+N6LkXLINY7\nRKRYgmgE+9QxpgdABN2qcDRZxPU8XM8jmVvJvHvL79/zPKyJcdxSmfoDK0s8mmMz80DWZCBGuYJj\nLNF8zPNq11uyhqZb6W0Ux7O5mLyK6zo01TVzd5da3wbX+FlwYmquMMd1SFnj7G84sr44doCg36ke\nXsE6Hv6r1lZ43RXLMK7rOcvTSSxpJRiOjtYGvuOh23jy6X6+1vUgtxcHaXX8N/D7rpX49LHnuHzg\nIe5a74u0EEIIIYQIWgI4tYL17sVvpS5qLJpJEsllAIiPDeLF5548jes+7DtPQP0WmTdnhWxvbhux\nolVkuRTF/Dk8wmY6GzuRfS3U7DENYLOWs3nmKFu7zXXMAtjpNOa4fxK81NNDvGP33DajnkfO8uc9\na2/Yta595YwK6fEcnpfknuOdNDduztexRHZuQqJk3rqiJOjkyPhEDm+4jyZznGxnM3nDnFudN7U7\n03YoGBbNjfEl565aiuO6ZAsV6uLRW/4fzIpJT88YWScKsc2bePQ8uJzUlI088eLUfEiuR2wkAftr\n03zVrcHrpZ1KUe7rA8Ap5Ne9PdeycMslYi2tRKKrr+iLpHPEBkYpjkPUaVtyvZHCGOlMH61lWzpk\nLSJjJ2mYqgwtWQYFq7jMPWqv5MqsSCux+mfNrb3uFj/vAX4HSAMfAk4EvG8RgtSFS9XLbgRG90xV\nYnUE0+tYrN6bX3GElsY4lVg9X+l+RfX6qAdveCbPp68+gbktvnQIIYQQQmwrXwferZR61VIrKKUe\nBx4HvrpRQe1k8yfvjjgLR/bHRhMLrqsFz/MwExNYiUQoCSPP3lrfH2pxQnMpk5kyz10Z59pAekP3\nu1Jbb1z+9hXJ3vpEuDk2OmfZLc9N4GStPJNGinQ5w2QpuXD7t9j2Ukem63n0jq7/BP1GiXgbe0Sb\nQ4PEsinqczmakukFc4uB//o8NFEglS8zlCguMy/TQjeGsiSyJUaSRYzyEq+1nsfgt5+ndPUydb3a\nrxSusbW2ycxWspTt8oIWkpHKTMXNctveyJfSdKHCwFiezLyWjaUb16uXzXyWcWOCseI4prv690PP\ntimeP4dx+TL5Z8/graG9Zmxg5vUhPja46DqGVWKkMIrpmKTLmW0xoCNoljv3/+ys97m0iavfgk7q\nhy3Q1L3W+hvLrPJppdT/AM4Al4D+IPcvNl7xqmZ6nMhEZxyrLsqh1gO01gfTe1isXnNjHW95+Cif\n+XoPuuUI11pu41TRf4Prztjc9sIgf3/ga7z1xJtCjlQIIYQQQszyW8A7gK8qpZ4ApmfMfrtS6hHg\njcADQAn47XBC3OGmzgVMtywCiGTycLT2uzaHhqrtBxvMCg2HDtd+p7P3PzEBbcc2dJ+b1fxE1WSu\nxC4PiiULZ1c9e9qbqrdZtst42qCpPk5X+zZtymhaWMkkXkPwXU4d12EgP0zFqXCo9cCGzO/seMG0\noVtMrG8Eblt7JUrSSFUvF8zgqgeKSyVOBF5qZv6thtzcZN/0qetCyZr1uuCRyVf8BsErlC5UmK7t\nGksZnDjYvmCdSCFHNpn1L9sW0UwKt6Nz5TtZhOu5OJ5DXXTx6q+1ngCvLJE4qdhudW6vjTi5Pj+1\nULJK2K5NPDpzKtwwbSazZVpi9eiBDC87vZfoIv0iU+UMRdOvlnG9SQ62rm5eM3N0FM+eeW0xrlyu\nyXxZ6UpmznLRMqiPLZzXzy2XsBKTxNraiHdItdZKeZ5HLLtwAMEGBkC6kiGR7Wd/y16a4k3L32cb\nCboSa1la6x7g08CvbvS+RbCcQoF4cqbf6/Be/4VRWgmG7/UPHqajtR4iEf6++xVUZr1JP3yhyLcv\nfYVxY2NGjQohhBBCiOVpra8AbwFGgHcDvzR10weAfw08CAwB3621vhpKkALLNUnZY4wUxubdUtsT\ncrPnz6oMDdV0X9tBpEYjo4sli/It2pmNpea2BLo+lGEoUeD6cIZ0fmPn/dgQlk38Wh+lG9epXL0S\n+ObHjQTJUpKCWeB65mbg258vW8kxWO5hsNyz7LrXBjNcH84ylirVPK6lOMUihRfO4k1V/myVMfee\n52GlktiZ9JzrI45DUyJJdDQBS1QzleyFj7frgVHxEwRrrR5ayiKFV1XVtNW8xLZpr77KZmZ/i+8w\nMq8aNmKuZN6npTmuzVB+hMHcMBPG5JLrea5LbGKY+MANIoXc6nYy63XYdj0yk/lbvn4ucddVczyH\ntJUga6cX3Db/PFgqN/O67OGRLy2e0M2bM/Nble3lX8tt251TkeeU5r431GS+rEUtXjloXLlMZWQY\nQ1/FMZZOiJuJCfJnnqFw7kXKRp6Rwhg5c+tUbgbNTqUWXDeZNRhPGbieR9m0V12JudDM/8yzbczR\nmQq8om2QLKVIllL0ZPrWuc8eq4IAACAASURBVJ+tJ6wmqiPA+0PatwiIcf3anI8HMh/W5tFQF+Pt\nrzrO//mSphBv5hudD/CmyTMA1Dnw6mezfPrQE/zc/T9esy94QgghhBBidbTW31RK3Q68CX++4b34\n32bHgGeAr2ita99DSCwp62zOlnEbLegTxWGxXJuRwigJY5KGeAPHdx2lPl0Az6Nu794F85bcHMne\neoPzDo2cMVORcH0ow8vv3LfumHOGSc9Qlkg0wqnD7aHOZRSdSFaTDW7JIBIp4jWtvCtLJJ3DssbA\njUI0Nuc2x3MYKcycvHNNk8rgIJF4jLp9+9c0p8y0dKHChGnTHTXYu3umgux6umdFFSKZQoVU3k8i\n5Eurb9dl2g7WOhId00o9N3DN2rYLcwoF7Eya+O5OYi3BdNyZXVnaeOxY9fqmZJqGbI5oxPL7yR1a\neN+BwuCC6aCGJwuUTYcDDV2BVvgMJwpki6tPPhuVjatsM5wCpVISK97K3ubuObel8xWKZYvujiYa\n6uY+vzJmFtv1E38Fs7D0lBO5TLW1btQoYJ66F9bw3CuUTDwgalm4dbV9zUpaYxSdxRMto4UxDq2y\nimq1csUKE5kSESJECxU6Whtquj+AdL6Mky3DCh5at1jENWf+35WBAZpP37nouuWb/uABr1zmxqVv\nUZ6qJD3dvAEl6PjziEXi8dqctzQtopkcbnzl1bGzW0xOG5oo4FqN9I75Sd76eIy7j3cueM6thXFN\n4+RnjuVxIwF1/gtg2V4mke26fvXf5pzucE3CSmI9EtJ+RYAmXrxYvewBI911RCNRbu84Hl5QoupV\nLznAl88MMp4yeKH9FPfkezhY8ctej4+YXD5/kecPvshD++8POVIhhBBCCDFNa20DX5j6EWFa5KSJ\n622DHGINzgVt+LwLAfwNnudxNXWNytSo+opdoffacxwt+icc3XJ5zgl2gJK19lZzQSU/rw1ksKfm\nU7kxnOPek12BbHctIvNP1jsrf35EUllig2OYrTHipTrsgzMnRTOVLKlSGlDV62Ij41SmWv15HjQc\nPLimmMuWw2S2TH20gZujOTpaG6ivi1Hu6yXec51mM4qxd8+S93cti+zwGFhrOwhzxQojiSKlygqO\npWWOGbc0tyop6Ke2Z9sYly/5c/KNjtJ6/wNE4sufRlzuSJ9dWVru66u2Km3IzlT6RBMLq2gAKk6F\n5lkxlC1nxdU9S3EMA8+xibftmnP9YKLAwkZsm4frORScHC1eHYZVIm/mq10M84aJHvQfw2S2zEtv\nn3tMl+ZVE00ntObzRudW/tZfO495/DQ03Ko96sIjYHoKqHipjLmCJNZ6Xi6XSmBtlImM/7z08Lg6\nkObhu/YvuW7JLjNcGKUuGudw60Fi0bUlPsYmDbItGZp3V5btueZ5cxPo3gpet03H9Csnp5JYI8VR\nlv6rgmFc09jpNLG2NppP37mugQsLeB7xnkEwLcz8dTjUCI1rTDbO+6xo2g6DEwVuP7SwLehqzU5g\nASsvty1ViN8cpNxUoOHkaer3rX8AzWYQaBJLKfWDy6zSAbwZf2ThU0HuW2y8or7K9NvWZEecSn2U\n42230Rjfpr2+t5h4LMr3vfYk//2zF/AiUb609xF+eOhJolOfBl77XIEnjnyOu/ec3nF9VIUQQggh\nhFipilui6JRoigU/58+ms4OKzIqWUU1gTXOGR6HjGADm+NiCJNayAs4iuK7H4ESBiuVwuLuV5sZ4\nNYEFG1vxsR6LDaKPDc605Izm0jArieUnsOZtI52HDj9hVxkcWHMSK1ecW7mUzlfYU+9ijo+D7dKQ\nLWC2tmA3L/yO7HkexqWLuBMZ6gwbDsYgtroTq8MThfX1SttA5sR4tVWe57pYkwnq98+tYnHyeQx9\nhUJbA5OdwY+TX+6Rcm7R7892XPJFC7tl6aq3SD5L8WIfeNBw6BANh29bNqbxdIl8yaStqYGX7PJC\n+3/a8+Zvm93yrm9s5uR3ybSpWM6ylSET6flJ0cX/rvj4EPYR6cAUhL7cAMWp+e3i0fi6q8SGEwW6\na5CvmD9QJWuUIVWkqSFOe0vwlWaVTIax3hEAOl0XO5Wkbk/3MvdahVIFpqrRPDxiY5M4x2ZKP23H\nxTBMPM9bUxVYtrC29sER26YxkycSc/C6lpir7Baf06afs7GhMbAdPKDc1ytJrCV8guU/9kYAA/g3\nAe9bbCC3XKJhcqa0f6jaSvBkWCGJRdx3xx5OH+ng6kCGiYZOnm2/k1dkLgPQUnZ5ybPj/O3hL/N9\np94RcqRCCCGEEDuLUmo9Q8c9rXVYXTV2FNOtkDKTmI6N6a1vDhKxkJVKYU0miLd3rO4ki8e6E0ZO\nAFV1jmeTsSbZxW0zcQVoPG0wmvJPcFYsh5ecCK/qaj1WUlVhexYR1yIeXeSEaCBVbEsfMHZ2bpvI\nOqO0aBLLTqdwK/7JyYjr0JgtUO7cvaoo6vIFrF1tq7rPek2kDfrGcrcs0CiULBKZEs0NcVqapipl\n5lVoePPmevFcl+LlS1iuxXjfTVxrL+zZveCRNio24ymDw65HNFrbhM/sxMvAeIHmaBTPSC3ZdrNu\nuBcO+SeLK8PDyyaxShW7Ov9WzqhQiG/ORLI9v13lMk+hQsmkZK6s0jRq3Ho+J69viEhzBG+tlS2r\nkCtWZo7XFTBtl0t9KXJmBrdp5jHymDnWTcuhULKIuC6xIKt/FjGdwAK/1WHFqRDz6vG8SLAt9ALc\nlAuMJQ1iJev/sffmQbJsd33nJ7OW3rvv/la9Ve+lFiQWg5ARm9gMGBwgA8YByBjbMXg8gXc8NiHA\nBmMTDmOC8UZ4bGZkG+wRRpYBIRtsMIv8JLS+Re/l3W/vS+1Vuec5Z/7I6uqqrqyqrOqq7r73nU/E\njdtVuZ3cTmb9vuf3/dHyIuYKOeaLx15JgxDmJs9j3NosUWtbeSpgvtmcTMQacN0bx7LRiI+ufaEU\nL90qEwQBqyWHx68udyxgF+dSXr2VAiXJlfYxQh9x+SEMFeO8vIs5v8D8U0/3ZbAer6N3yPLuAXOh\nTy4OEKYJDL+Hjotsh2Kj4T6Y76vT/uHzfgZ3jQrwgdvAf7Rte2PK29acIk37BkbXqd4+FLEu6dEY\n5wnDMPjur32Ov/sLf4gCfv/S5/NWd53l9gidt9/w+MBn/if3Hv4jPLk6esSRRqPRaDQajWZqbPC6\nynu5P6lHRxkhkRxce8aLPD6z/xI5M8cbLzzDwhB3CqUU/q2bU23nIcJ18a7bnUB7fm2N+WefxSxk\nDCadYkKBimO8G9cB2pZBy+QWp1Nz5zSpxiUeEleZy03fkeTe3lE2heNPKVg+RBCKpaTpRswXT17L\nYxwiGbLp3+ZCfEDMCsevAqOe/H4NZUjFq5EzTBZlTN6cUkgr43Wvot5zYMaDhdCN/RYHWzXmi3ke\nvbyI2Q6GL2zvpYpYe94ecXOXC6IwvruNUtTDBhW/P4NNSsXtnUbKQj2L89q9KqYTUHcCnri2QjFD\nPZeoXAKg0Y4vmFv7yCvpop4bxBzUPR66ONuM1u6MEdG+1t0u4SnzegbcJ8eFHseLRrm3TY6S5Ep7\nEIf0FQJTDH+D6LqmPeFwu+FwdekCVxbShfCN/RbQe84ntomt1sjte4hnH59s+THYr3kUWtnrwu3X\nPEwzxIkjmr6L0RZVXeGglEJKxUu3y0RCsrjf4qmHVmh5MS0vYnE+jznjrLuKVyUUEl+usZhbzrSM\nRNKKGlSiAzAMpDp+JicjFBGhCCjmeoUUP4gRXSJQue7z2NXetububSOef2ribZfqfkewqDtBWnm8\nzNRSs6IGn8daK8R377LMMsUwpuEEHNR8FIrFuXTB1KxXyZWT7GIjaItQj6whHBdzcZG5R4ftwVFb\n8p4HuXY21fpRZrgmYaoilm3b3z/N9WnOL7uferHnlt+6ViRv5nl69XSK+2my88RDK3z52x/h917c\nITIL/Mbld/CdO/8DSLrKd3+8yX984j/xN770hzCN2Y4y0Wg0Go1Go9Ek2Lb91Fm3QTOacbJ1YhkT\ny5h7jQ3edOm5weus14jK5Wk0rw//9q2OgAVJhkm4ucn808/MZHsnIa72Btydl15i9UvfeYotGB6M\nVEoSiohirtD1XXpQtxU3ZiJinTZbBw5hLBP7nGsxi/PjhYxC6RMIWFTjjcBvihqKpB6RK1ss0ZsF\nZdYTMe/ALRHEScB619nn8ZXJLAVHc7LxBbFQbJWSekp+GFN3Ii6uDB9R78Yu85FD4Ic8ufKGsSzq\nWpFDuW3BKJXC8WPyOZNVkgy+gajD/xSxVJ36T+WGzyOXRwvKh6Le8SiCAsy4XzSq1P2Zi1gnJdje\nQjQaFM7YfksphSofkOtyQJoEqST70RZzwRJO3GAxv8hiIaWcxBSH1LhRYktolmrTW+kQoiFi8nG8\nIEbNJzvrR4KFrswaRzbZq8wTtTMOYyE5qPvUnYBWGBFEgsurp9PPl6IdnsgNfo/ophnVcIVLPa6A\nYRCW8pw0MhuKkJvlVzGbO6zNrbBcPC6oKepxhUgFXDTXgN7phjeZnd4g4kYD/95dCpcuk1vpHwTg\nBjF+KCjkzZ5BEGEseG396F1DKoEnXRhS7S6MBK7w8USDNSU6Nc6S7aQPJsnvHuXpGKEPXRmnwcbG\nCBFregyyAH1Q0BFrzUS41+3O3+XVHN68yTNrT1HIZU/j1Zwe7/nKZ5hrj6a7tfQ4N7rExqu1mMuf\nuMHvbb1wVs3TaDQajUaj0WgeGFphutWSjEL8u3dwbTt1+jQQjtP3Xbi/f+L1SiUIpDdQxJkWSimk\n76Pk4Bo2WThpGEcqyZazy4sHL3O7frfzfTUunWi9kYy5W1/nTv0e9XB4dkxam65Xb3Kv9TnqrY0k\nfSYMiOu1qZyXMJaEbQsyBazvNYcvcIxABBw4dzkItylF4wXej9f2GbiN+CjjYtfZG2sbwzl2xZzw\ncIbHhKOWlyFTpC1aCSmRYzZg3z26LqutAMePqDsBrpcxe08pjC6LuGnc5gvlyslXkpGc55N3vdEz\nZiDY2CCu15N+Oq0f6jo20w4YS6WQShKIgI9tfJr9Ox8jkOPZgsmw91rzpYNUkjBMrsltZzdtsdlw\nTnPN96Ot1O+FigiPCWJ150iMicS4d+bp4Aq357MXxh0hblJKXhkpk2NRD/qfBaEMCaSPVIpm3CSW\n/X24Ua5hVMd7zg1C+j7h7i7ua6+ijtmcxlLRcEPCWIzMWB73GR7I0WJcfm9zrHWeKufxgj0BU83E\nsizrR0+4CmXb9k9MpTGamSGDgIXSUae/rethnXvWluf4E+96ig/89i0A/uulL+Fpd5t8nHTw73zJ\n4QPP/BpfeO1trBZP159bo9FoNBqNRnOEZVnvBL4ReBNwgcSSfQ+4B/y6bdufPcPmaU6Af+dOX/bR\n/UCsBBvNbbYLEYu5ZR4qzs4iyrtuE9dqmAsLzD12OiOX02iETcK2YFLxqjyy9BAL+QUccbKA3K6z\nhx97GEpRdiusFVYyZ9y0RJ1iq8XK+gYqFuSW6uRigRusUbhyhYVnT2btL48pF+HxmjppdDW95JdZ\nrDsEF1bxRK+Qq1BIKTuWeueJ7bLDxWyuXbNlSgJx1HXe9ms+WaI0+e17mM3hWTNKSXbdfbyKy0OL\nV7k4f4FBcrEB5MLTqRWVrzZY3dxO/pYXCS+u9Uxvijqr8iJFc/wMGsN3+76bVUw4ljE1UUIqSb65\nyMIrDqqd7XKtmD3j0L91k8U3v6Xz+bC9OxWX1aUiaw+tpS+YQhCKkbZ0hjOe2D1OhuGscEWLgjH7\nel3JtpqUvSILpywmHO/Px8WPx8ukCmXUZ++a20wGGqjcIlx4euCyhu9iNuvI5VXUwvAMUCUlUaU3\nk90bwyq0EQ94B8t4uKSShCogT2F6draazEz7iP842U798V7rsCyrArSIdc6pX7+B2eV/unktScO0\nLup6WOeZr//iN/AHL+2yXXJo5Rf5Hxe+kG8ofRyAgoA/+kKJDz35Yb7vrX/qjFuq0Wg0Go1G8/rD\nsqw54BeBb2t/lRbp+QnLsv498AO2bY9X4EMzEQbGWHVBjEYLz/F52TlgcWGOpx5ewWzbykxTwBKt\nFrnlGUTeU3Y17Mp+cUWLSM4uOB3XkkC69DyiKWSQTYJQgorXe64CEbKQT7HgGkJadtS+W+qxw5Eo\nzM6tPvw6a4kGV/YqnTpMMnDJmUUcL6L8yh2KxSvH1ne6xDIeKMQ03ZCmG/HQxfGO4WkQRAI/zG5H\nBqP1pmpzQiutIacuKh30fVfyygNrHCVk6LuEGChgdV/DbuxR9lxkmGSbftFDn3+SrU5EIL2+Q1TY\nOsosKhzsw8V+kWYnXOeJuecwxhVQRsw/cc2oFJqihuyKs+GNl4F1SNxoUHfCxEYyDMh5DchLME0a\nTvbaUZBNV81v3KKviN05I4wE6/vNnsQ6oWYvsnrCYS/c4k69xRXP4VI7BB/LmEAELMqYMJbsVz0U\nimsXFpkrpAv9SZaemnlNrlng3LmF+8QXUCzkyOd690/FMYV7N5P6b+V9wje+dfQK5fALM5IRBXNa\nLmHJcT+0TjzEwOBS/iq5MxayFOqBtxDsZtpH+28CbwH+LPAi8AJQIqkp9xDwLuA54N8Ct6e8bc0p\nsfWJF3vcQ7euFZjPzfHEyuyLNmomJ58z+b5veJ6f/sVPA/Dptef5Qu8OV53kZfjp7ZDP/eEfcPvx\nd/LMmq5tptFoNBqNRnPKvA/4dmCb5PfSa0CVxAL+AvBW4HuB7wFuAX/3bJqpGYRRbZBb36FVdZm/\nskrr0SdZnM/z8KXp14BxXnmZ+SeeoPjI0Qh9pRSNsIGQgrW5VUxjGqXd+5GMF/D/zMHLPL78KFcW\nLhGIkBvVW4Qy4vFgkWG5EaI53gh/pRQvbd9lYQGuLfUH9u81kpoVjy4/QmFI4KkWTKeOy8Z+uq3k\n5ChMp98ybaeSWEi2mj6xF7O80B+8k1Imwc8zDYAq9qouuUm011k1O47JVfep7HtcWpje/VJzxhex\nwlgipEoN0iml8G7d6vu+ETRZLgxXEEaecpXNdqziV2H1QudzIMKJ6pMopfDDmELeJDdGZp4nHHbD\nDR5bGV8xkUomtdZy2VxnwlhQb4VwZexNTUykxhOYuhFd6kwQxdy6V4EwoHjHRgmX5aJH67FHhq7D\nCSKKZu89UHMCLk1Jpztu0zcrwhT7t0xZpTOgKepA8iyq+jUuGVcQSrDZ2kZKSblyg/2qhxcmY5L2\nqy5vuNbfQUZCcne3yVrNY3VxvHqDw3AiBzf2WJvPz1SHbLghH7uxztrcKm99+hJzhaPrLCqVuvog\nRa5aAk4WW3ZEgwtm+x1ASXJ7mxhhiLjycGeeUsPnGtkeLb50egSspKWKlmyyZl7M1CYlBKLVQs3N\nc3vfxfEimoWIlUVdkmccpi1i/Xfg7wDvsW37P6fNYFnW9wI/B3ydbdufmvL2NaeAf8PuiFi15RzO\nYo7Pu/A0OXM2P5I008N64iJf9nkP89GXd1GGya9e+lL+rPvrGO0hNl/9iRa/8sZf5q+9669iGufP\n6kGj0Wg0Go3mAeZ7gJvAl9i2XU+bwbKsfwB8HPgzaBHrTAliQRhJFopHv4Fy6zudcflmowqPPsn6\nXnMsEUspxb5XQkjB5SCHrDcpXE7PtPDX13tErAOvRMlN6tCEMuKhxWs963WDGDFiBPOkDBsJHIuI\nu/V7XJ6/yEZzCz9OMgw2mps8N1TGGra9fhzR4O7ODgtzeZ661i+AHXTVDXpy9Q0D190K++uKTcJ2\nuXc9QgnyUvSMIj957S5BqEIKJIGwlh+lili3dxrMF/M8duWcp0ycgIbfou5GzBfMniDpMPK7G5it\nOqzMQ5eIZRzeyVJCHEN+8tCZL1wcFbDsDw/i11oBsupxNZ9yj4rBy3rxZBk70yAWkniM2jsKuLlV\np3nQwjQM3nBtmUI+27kqRyetgZa979spuURCjBSxDAz2qi4PzahfPSTJ0lIsmys9mR9xO5vIDwVy\nMWnDQc2HS5Df3+qIAwXXw4hj1IDruOEOFtBajWmL8ZDzfTATUUBIRbkR0PIirkwhUbMcnWLNrwmo\nBXVkW3T0Y78jYAH40eD7XMgk768+5FwNQkrZyaoTUuL5SSbYXntAe6u1w6WMYvYR2Z5ekuTdoxnt\nsJBbYmO/xRsfO8qW7Kt/qU4udnbfjabngJc8i43Qh0eTOGfdCVmLBPMZnhWD6tKFY9Srcz/3CsJ1\nqXiC6uWnUKbJbstleTG7vaeGiQZODOPvA781SMACsG373wG/BfzDKW9bcwqoOGbx4Kho3Va7Htbz\n2krwvuG73v1GFueSl5f9uUt84sKbO9OWfMmTf3CT39964ayap9FoNBqNRvN65RHglwYJWAC2bVeA\nX2rPqzlDqs0Ax4+oNAOGhX6kUtzZafDKnQruiILjAPvuARuNTbYr62y8+ALRwT7Vl18hzjCSfL1x\n9DvNCXtruVzfqPHS7TKvrG8TDwu4zjBRR6Go+V1ZTkNSRJpuyEHdI4wFQspO0G8YB9EOkNTHiFKK\nzHfmc8cr7J4Fs9GA7Q3w+mvoHLLfukn+tdsY9ekFhWtxmUZcpSoOECrZZzHAA8wPYxpuODCUb/gB\nCwdlCq3piHhpdorDmK+k220ajodRTcnKc48CiJGI+O83PsN+1WXjoJU588JsDexuyQUBF+5ukH/l\nFuZ+ma3WDvVgvOxAqQQNUcOJPNar/XaAx1EKaq30IHXVP716elkS9lpuiL1e5e5ug6bb27cNWjwR\nLJLzJpWiXM8eBD5JptI4RLFIBKzu72SIYHCfUmmk7EcYQDwdyzpPuATSa2f2HKIoR0eWq66ftO/w\nWWH4vVmbRud+7L8v3SCemQXkcRZKFVY3tinescl7Pl4QU2n2H79S3eux5YyqVVqf+TQrmzvMVWus\n3VlnebtfsPJlf7ZqVk7jGMRDnk0nJe/273ulGXB7p8H1jRpRLHjpdoXP3atwczc5doqkn2qGyXNJ\nKTmyr5EZRNtYKrxQII9pUvVj/VsYjX88tls7Yy8DYES923a8k92f49iJCjd5N6hUmpi1UmfZqV9z\nD7iz4LRFrHcCL2WY70XgHVPetuYUKL16nXyXMq5FrPuP1aUi3/U1R+frdy9+Pq25oxF5b7/h8cLH\n/kvnIabRaDQajUajORXKQBZfkQJw0iHpmikhlRpZVHyv6tL0wiQzZ0hg33n5RbZf+cOkRs1BhVbo\nUG74bOw1uLfX7BmxPQ5hLKi2AhpxlUDEk9fryYgTxJQbAeEYGRrdeEHMXtWl1gpY32tyZ6fJ3d0m\nbspxNpp1CrdfI795B2NItkoW3CCmVPco1YM+IUgcj8R1YYYhxc0NjPI+xt0b/SPLSTImCrvbMOE5\nTCNUAXFbuDqs2QH9QcJuvCBOdY9TSlG8s8l8rc7yzh5mEHaEjGoz4PpGjf3qYIFuGiyU0wOnuXtb\nqd93n+97tR389rFVio5QMpzh4cPl7b3ONsydEjuVDTYaG51MwixEXXV3HD/KlLUkU/qIVuRS9QcL\nbqeJ0XTAD7iz0+wI4tXWcautdJxjQr43Zi2y0+B42x3RoBqXeutVdeZN5k47Z8Xbr1K89SqGO724\nSnjM0izuur56+iylEAjqcbXTL3RTafhUmy7xmEJzN0opGnGVlhjvujTjuNPGpd3BdQ+rrQB7o8p+\nLRFmvOs2MgjIex6LpQpmHFNw0vukQrPF6vomi/ulbIW97jcG7NPKzl5nmumHxErR8pLngRtEvHir\n0uknvSh53u1VXcp1vyOu1YJ6al/T3e/VjtVWOz7IJBaKcsOj7gSpAmU3t3d6BwaY9WrqAIhIRmy3\ndrldu0v5tAT9GV07RhjgimS//ZT3mhNt9QG83LuZtog1D2QppvM42X6gac4Zm5/4bM/nrWtFlgqL\nPLb88IAlNOeRr3j7I7z16UsARGaB37j0pZ1pBvCu/1XiV6//+hm1TqPRaDQajeZ1yYeAr7csa+A4\nyva0rwV+5dRapRnJOHGOzlh4pTioeazvNWm27YGE42JUm5jlo2ylajsApFDslScTEQ4tBA/tuIIh\nlkVO1OoJetacgGZ7tPJ8dXCtKIXi3vorfPozv8POXoNK02f7wMkUT1FKUap5bB20cP2Iu6V96nG1\nSwBICqvvlvszhApbdzBCH7NVZ67W6J3oBZj7ZfCziXZbJYdYKiIhOufkkDuN9YHLdYsvhhTE9a4A\nYBRSuP0aRfsl8t7wDAEjDDDrR8c+taZW18V2fBT4YUB7WO0ZPxB85lZ/RpBoNqFrucVy0o5YSK5v\n1Kg0fW7vNDrZHseRUtJwZpQpM+R6PeS4yHjSEfZztcZRsP2Q3QOaXsRmY3DgfRTRhLV5Sn55sg1m\n6pz6HznHxTalFI4f497ewbi9Qf76XcL6dGrHTZPO3iqVad8NZ3RmnSN670MjipmrNzDDDNeYkuS3\n7o6ebwa04jpBSlaSG8S8tlGh6YfUusReV7RS60kNwhENytEenujvp4JIUG0GNLzhfUL3PaZQqeLF\n7e06cbPR9/1ApGR5d59cEDJXb7CytXviAQ7Two/9vizpSXAGDZxRilyYHHPDD5Dd97HozzA8FKH9\nSPLi7k3KfnmgWF72jp5zxwfuHB/0UWsFndvvUOCNVYwjeu+3MBJ97yOGSN+3slcZawDBSLq6PS+a\n7QCNNA4zx7NktaUSRpilaifD6/XCtEWsF4H3Wpb1fYNmsCzrT5J4uL8y5W1rToHg5vXO381Fk8aS\nyfMXntX1k+4zDMPg+7/xTcy3PfxvLT2OvfxEZ/rVWkz427/Lnfq9s2qiRqPRaDQazeuNHwbqwIct\ny/qjlmV1Bv1ZlmValvXFwAeBEvAjZ9RGTRoTjNZ1vJi6ExDGgr2q2zOS2dxJt7uLh1jqZbVuy7su\nc9VjAUEhMdo2RPWoPzCdZJAoFkoVcl56EKmxt0X11Zeo3bzH8k4S5I+EJMwgQLS8iJoT4IUxdw7K\nNNrB12bUm0GQlu3QG1HmHAAAIABJREFUzUK3HV0syN+8h7lTIn9zHcbMCvOPZ4gM2bZxfFrX5/z+\nNkboY2SwQwTI76x3MjeOZ97lHReCk4kzA6+hY/tgtANrtWbQI5Ztl/qFREVScyuaMPPuOJPUbTsu\n6CmSmifHg61qgvUHkSAUgvp2lXIjoNRw8SewwBqHUMxAEAx8cpXRloaQ7HO3/WmtFdJwQlp+RNOJ\nQEG8+VpvILjrWE/T0WroulLEiZzT4sLte1y4fS/VXu0Qs7xPYePW2O1Z29hicb/E6sYWhhAIhvdx\ng4LywxgmRGdlkK3eXsXrZE/FUnWEjFpcYju4myp8pXEYhD+OIsmiCmJBwwnH2pe9cDP1e++6DYDI\nYMVnHtte3vNY3dieWlZNpeFTc4JUi1shBRW/Sks0UjP3dt0jATyWKn2gQgaCSTIYh+2/kdjN1v3x\n7FIHMSjjdD/cIpJHfdugFqU9691ocpvIQRw+C7ptYiXJO8kskEriCXcssTgVpZL3m6193FdeRkYh\n0vcJNjagkX4OewbX3MdMXp0ynb8H/Crw/1iW9TMkolaZ5Nq8CLwVeJjkOaRrYt1nyDhm+Xg9LMPQ\nVoL3KZfX5vlTX/NG/t+PJC8Ev3nlHTztbVNsv2S94yWHD7/wS/zFb/hhLVJqNBqNRqPRzJ4XgDng\nGeAbAGFZVoPkN/UaR7/ddoBblmUdX17Ztv3YKbVVMyF+JFgo5qk5vWJQGEvmi5O/c9vVmyPnybsu\nK1u7FPM5WJnrmZa7sY54/KGByx4KFPO1Olzon1577WUgCT51ZxxlCRuWuuriNEW1I0jEKkYqhZml\nQM8xzHIVDsUKITFqDdTl/oYbjodZqSOXF0euc5JaJmZzeLZK04uI4t6jlN/bInq69/42mnWWtrbg\nwpGhjZuSAdG3/ShrMG7yAG8QCoop3zdFDV96zJnzrOYuYkxwHkdRC+pcmFtLnbZf83gpLPOFz11l\n19thx9ln+8AZ25bz0CpP5XKd7w5Fzrl6g2BtBTE3l7rspNyr7GFdy2JyNJxABVT9GiqOKd67nllM\nBdgpu1x4Ovm73Di6p70wZm2piB/WKcqo82CquyEL7drbo66mQHr40mc5vwSsDpzv0JozTRAwqg1y\nGzscl/vmtjaI2sutbO9SfePTvcv5Lrm9LUwvQ+23FJHsMKvHkJK5eoO6Ibk6ek1jUWuFrK0uTHmt\nCUIqjK4SId0nS6EoRTs8NvdM5vUdCsarS0UM6Mv2aXkxl1Zyqcsex5MOnnBYyC0hVMxeuEmsIp5w\nQ5aLS9TCDIH4lG7GjCLynk+8mOWYDu+nIiGJBFQaAcXrNoZpMvfkk5iFIlutHWp+HVe4qfWSuoWv\nphPiZxjkcVJku2qn6TSRl6+lz5QtcXEoSirCWFDMDX+PWfdv8fboEouFwedifW88ce+4TWlWpErO\nUvcZbx63SpyiP9+es09T1NrZZ1dBSIp3tyiEIXP5ech6y3cLtVIS3L1HVEmydY3WDjzT75Tm3bDh\njY+ffCfOmKlGpm3b/g3gW0jqYl0G3g18B/CdwNeRFCC+AXyHbdvaAuM+Y+eVGxTlUeewdS15VbUu\nPntWTdKckK/8/Ec7toKt/CL//dIXd6blJbztf9zkDzb/11k1T6PRaDQajeb1xFuAZ0l+TxskotUl\n4AqJFfvh94+SDAxM+6c5Y0bVvJnUEnAY9aBBK0M92+Xd4VkYuc0ZllpTCul5IzOisgbSpBLsBPc4\nCHfSxZxj20kL3ispyd3ZxKjUya3vkAuGj45+ufRqtsa1cUUTT7gDs+SCSLBbcTuWkUcN65+/kMGS\nzEgRrNbupWc29BCFBJsZ5htALGWqyHCYCRJIn1Ad7WMWMSvOmC11s3qbHWcPY0DgWSrF3f1KEjx0\no4ECVqXpj5Ex0tu21fWtqddOqXfZWQYipOz21zXKglCCG9U7NCs3xhKwoD+7LQ1XjJ+5EcmIelwl\nkB61qIxUg4+7alujNUW/GJxb30lVy3oyI9POy+YNhJOtpk6uPvy4m0LgyWzHIBQBZb+MG3s0wxa3\nanfZc/YJd3fI7fTalY7KOp2YDOsN5fhZgF4Yp9b2gWzXUc/223W/9sItAukjlGDfTZ5dxwWycTi8\n/nNBwPLWDvM7OyeyGaw5AXG1SlQuE2wk/edhOwE8MVwkDaaQbTec3uNuutPJskrdkkrseNf3muyO\nqJ2Y8wNu3/o0Ko5phi0i1f/c3a40h/YL3YybAZw/Zr93/Lo9rMF2SNb7exRKSbxjdojz9To5x8UQ\nksWDMozZRwPca25S2b3b+RzKiNx2/7uemlKm9Fkz7UwsbNv+CPARy7IeJ8m8ukTyY6sGvGbb9u1p\nb1NzOmx/8kW6xzhtXS1wYW6Na4vTHneiOS0Mw+AHvvnN/PgvfJymG/HZ1ed4s3Obp9ppzg+XY174\ntQ/whX/uC1guLp1xazUajUaj0WgeaJ4ePYvmVBkzcyQSgnIjCcgE0k8Nq3fs3DLG9YQS5Izho9hH\n1Yk4bMdJAnaH6zCFoBLtt7Ojso+Jzd3dxjF88v4O8XNPQjurRUqJ6GRbKBQqkxVZPariS48FFC3R\nYN4c/7eKarV6xK7u2laHGOUaamUJigViGWPEMUv7JQwh8C9eIBdFFFwPv6hYzh9llNwp77IXbnFR\n1IgJWTSW+/fBCbmUOSIz+oKZK5fpC1NlCFrn1m8iLk+aSZScrVp8ZIG5em8T9+rlnrlCGTBnziaz\nZKu5zXIuPRsLoBW6MJ/YZc3VGyyUKoi5OcLHjkalCxmzXWolVd4nIO95xIujs/m8UICZvV+RSvJq\n5Xrf94rE8koqxUpxeHCyVPcxwhpXMg/zPyLcSbeMm4xkvxuiwmGPpoBmNDjYf5gF4ctpiP8GjmgQ\nuVsALOdWWcz135fegLpvaWTrrRK7121nDykldZrElRsA1PbWMcqKXH06VmlSqYEC8NrdDTAMFhZW\n8R95uqtHmY5g5gRRJxOvmyiWfcJAFtJsDdMs/MZlafeAXBhSMGHe8GGxNwPZzWjZKpVAKYlhmEQH\n+xj5HIYzunbXoT3vLMk7vfdLJCMc0cAJt7lUeKhPCDCUSn/dGUNoi4WkaCb9khhwTZlByMrmNnFj\nnvVmyPajK+yHWzwsYc5MOt9QBmwGtygGNR6WgjlzgVjGqdm+kGL9O4JcELb76mSH3SDGCSJyzYDV\n+BZLriSeKzLXaCHmikilyE0/iRiAuXoT5rve7yawHpVScuCWWSksg2Ek98g5qQE3C6YuYh1i2/Ym\nMPlwHs25o7seljtvUF3N8Y6Lz87EFkBzelxcmePP/fG38LMf+CwYBr9x9V38uc0PUWz/oPviz9T4\nyB9+gO941/efbUM1Go1Go9FoHmBs29bFSO9T5q7fJT+fp9Q6GsFejyusZBCgDhFCsVN2qLgBK4uF\nTpC3HO2xmrvAfG50gBySIKaUkD8Wdcmvj7YbzELe82H9Jq2Hr5GYr2TADzAaLfYKEqII86CKfPgK\nUqke26CgHajOkoTQEPUeDyDVL99kYHAtq0Nym3uQzxG/+VkwDRYqNQrtAOHyzlHmWqSiTsaBF0S8\nsP1aZ5onXBbz/cHyaWdb5IIg21Ho3mwUYoQBiZNpL/WoyjXmkEoOtZcXQhGro+BbLgxZLJUztzuK\nTx6YHnokD68TpVjcT8S2vOeR394FVjpZQTmR4/LcoFDpcIwuMVQqQSnaJZQBl48F4sNYUCzmMcOQ\nvOshigUWSxUMqXCvXOpbbzNqEYv+oLrrRx0LrWojID9EfAsiMVCby1X2MUdkGw2jKepcOnbtGNUG\nqtB/PRkp+zGKql9lYmUxhf1wm4vtv1uikSpiHUxJUOrGkw65FAEmt75DxZxjGvsohGK/5nEhtwwo\nzDglIK4UZhgxt7/L8KEP02VafV2WBM38gLqNh+TCo+f0fK2OP8RGdxilaI+FlsejSw+TM/OEOzvk\nasNFXz8SNGdUb6mb5b0DWDoK9zdFlVjFtESDHDmuVXuv8VwQpB/btGsoAyLlWl/Z3AElO8/ZamUX\n2oMn6nGFa8VHgUTklmotsamMq1wrLtASdS6R7V0qjVhGuLJFzsiTGBsccZjJFSNwai7FIKbYTr7q\nvlbG32ZMIALmcnNd3w24gKcQUk8GACUrkiiCIO68BwopkRPUmjyPzKTQjWVZz1qW9T7Lsj5oWdZH\nLcv6yq5p757FNjWzRcSC1fJG5/PW1aKuh/UA8fZnL/ON73gCgHphhd+59Ec60/ICrvzq73OjPH7R\nU41Go9FoNBqN5kHHjCLww74ARSXaoxodEMmUoFU7aCFkTFPUuFs5oOWFhLGg7gSY9VYnuNJIsdJK\nw48EpbpPqeH1BcpMd7IC8mnkPT81aymN3bKL066n40aJ+GO4yeemGx5lppEExLNiKIkZzj4YCEAs\nkhpbJDWQBiHaNbO2Sy4IydLO5PaMUklCGfRYEc4kBKUUoGg4QV9dkf1gh1err7IR3OxkRZQaHnvH\n7KLSLPpyQfbg38SiwbiB8WP3Z97zEFJ09k1ktK8aRSOu4ogmkQpTs0kAlu9ssLK1w4U76xSbLQqO\nw9J+qW++NJtGoOf+HrfG13GMCUb/H7LQESuPorC59R3KjX4hwZjAPu1eI31cvHmQrf/pI+M1I5VK\n7MxOKL7EMqISHdAS6f2GlJJwQqHgeIcQxqITqM6Vhvc9OTdDPbCZM/zYGkJgTHBslvaG2+Zm23o2\nIhFTDbI/t2qt4Za1WRll0WgIQcs9Onbdgwyc5lZqrUYjOlk/0j2QJK11ec8j7/fuv5Eyo1T9BboE\nJ2tbQySZ245oDtWL3AGWmKPwhEsp2qEaHSCVIJA+5WifreYO9fb1Ecayp7Yg9NscF+7YE20feo95\ntRHQcEMqzYBay+febpN7e0029mZnKXlaTD0Ty7Ksvwn8ZHvdBsmxvNCedgn4TcuyPgh8t23bD26O\n2wPGvRevMy+OXkS3riXq9fMXdD2sB4X3fNUz2Bs17uw0+NTqm3izd5M3tJKXw0dLMS/+x5/nqR/8\nKQrmzBI4NRqNRqPRaF7XWJb1PcB3AW8kGZo96Pe2sm1bv4ifcw4Dl7W4zHJulQuiwaK5kkxUieVg\nPU6yIDzhstIeaBwLBVFMOGbR9/2qx2I7+HMoSEglaYUOcZeQNigAplCZR8zPNY6CIeb2/sD5IiHZ\nb3gsSUX+mI1aGE0eRizWGphDArFyt0wkFXOF3JCg1aA6Sv3Cgbl9gFwZbll4EO5xwbxAQUjm63WK\nrdGB4liFFI3erBWpBNvBXSIVsmAu8fDcG9rzRhwfRT4NhEwyOI7bMiXBHIVUkv1wmzfMJ13OnZ0G\nYkUwV5h8ZHw3417naQwLTDpejGGmi0GS6YekanGGLLSU+yzvecTzxzJypqxcSiXxZAsDk3lzEU+2\nAJNFc2mqDjuDupHCHZu5YnDCkPTgPidU/sBaOkLFFLLckzKmJpJaXYveybIEG6LWvm+TjLjueyYU\nklbNJ4fgYqE/I2wQpWiXHAWWGWyhmSvPsL7hKWB4Dmt3NzCkxLl2hWAKfcSscCMXFgZnJSeZu2sY\n9ekNJAkyWOgFsWApJeS/tF8G42pf1zJuzbzjuMKhYMzjyiZeWp3KFPIbOyyU+gW1YnP48oYar9Ja\nt4g3Cw5r9kkiHJnUwjTb/WnZq7I2t0a57vf1i8ePuRSTZ351H5EgEp28tWozoGAmGca3X7zBG77+\niybexnlgqplYlmV9C/DTQB34UeD76X2fEMCHgPcAPzjNbWtmy86nPtvzefOhIlcWLnN54eKAJTT3\nG/mcyV/8treyvFAAw+DXL381Ye6oi3jrp/f53Y9+4AxbqNFoNBqNRvPgYlnW3wLeD3wr8GaSGllP\nDfin62fdZ7h+GUe08KXLdsmhGtQ7AtYhzYwZV4NIC/TtOvuUgxLVuD/L4xCpFI4fcVDzBwcLB8S3\nDcfNlBXhpFkoTRAzd/2IWivAbLTIe12jmruCQ0YUU2741FoBdWc6I9+hbS04gmqUnNPjmWqDQm6t\nlOwzVzpEKglmedIhkH6PCDkIM8oWADNCH8Mfr8bQYSD+kEpzvOM67SyyuhNyd6vG3r0D1Ij6H0EU\ns7HfTK115KvpW8cBFFoOq+tbM1l3GlHGGihNUccRLVqiQSnaxREtHNHAldMLsA/DCDwKtQmzqNps\nlRzCAVldrmjhD8h+K0d7ic3aCJqi3hHCWvHJ+uTu++Z431qu+xPZ7EkliVSQ2ndM0q5OG7oC6kLF\nNOIqgZhGLbLsFJstFm/doHDvRifAv7RfotoKqDR8fHF6JoihDPCEMzJDM5aik4WbxvL2Lm4QD8/y\nEZJcEGTO/DueNdvNymbWOna926o7IY4fZe+rjz2/FYpAergZBSwAw09/joyyhDS39jMfKzUFK8tx\n7Iq99j3TfW8LKYees0Ma8eTWroOoxiXK0R6RDDG2N5DRKWWwz4hp2wn+EFAB3mbb9t8H/mf3RNu2\n6yQjC23gvVPetmaGxN31sOYMyms5LG0l+MBxZW2B//3bPg/TMKgVVvitq0e2gqaC1V/+LXbK62fY\nQo1Go9FoNJoHlh8EWsCfANZs2zaH/Tvjtmq6GBkiUaoTWGqKOm4Q0YyHF4A/qPdbAgIDg7dpCBnj\nx367jUetjGLZsSqUSlGq+zS9aGhANRbpQZxpji5Pp7dN22WHUt3DiNMDMQsHZdbWjyzIRhV9Hye8\nZTgZBY+U49gQ6YF7mRIci1V47HOEaGcMDQ2EZax5Udi4ReHudcxqNtutaVNvBfgnyKyIhMALY5b2\nDsjd2ST+3J2BAc3DAKbiqPZJN56Yga2aUizv7CVB6ROuJysNJ1tgcpC9oSNOx2bKE85UjnmtNVnG\ngsqQbRap7OdtvlYfyzqzgxCEtZP1nc6IZ8hgFIE8EgkOBen56pEothOsU/Z3aN346FCB5iRU4v5s\nuqXd/YF9e6Xppw4GaIraQNvN42S9J4WK2Q7u0hR1qnFppBCy4wwf4LBVcmi46deJIQRr65usrm+x\nvJMcEy9o948ixqyVx+pLsmZUiZQs1KYX4WYQWwZx0oE4WYiFwgtiZHmybS2UKly8eWeoNXDfNifM\n5BLt66bS6D9/c7X+7UdqWgJTbz8nlOi8gwj3dIXpaTPtHz9fBPwH27YH3sFtC8H/QjK6UHMfEAQR\nFytHPwS2riX1sKyL2sHkQeRNT17kT3/dcwC8uPQmrl+62pm21hK88gv/V+aXBI1Go9FoNBpNZh4B\n/rVt279m2/b9b1z/OqI1IDhVaDkUHJdcGGJ21fbIMjJYDBAk1veaeO0R3VLKgeISdAs0/YHbcsPv\nFJnPkg3QmmIxeqPpDmpWH0LFY42knq/V+4J4dSdEHRP/mmGLWtNnv+ZSqnuDC65PgLl5p++7adkZ\npQmbWVFK4Qm3I2Tk9wZnCvVkuU0ZN4jZKU8eSAvj3vMbOx4MsJ/yTinDqBtz0hpHQxl+faYJdN0Y\ns6mo1rX+o3aUGz4rG/3XlkQMrHtnVkuQMZMQDmtWZdwnmdSnu3D73tiWaSpDH5XYxY3mUD+LhMT5\n7E2WTjFTr5tQpR/nhcqR0B6pMBHowpCWnM3ryLRiSp5wM2cSLh5ksPoMA4KNl5kvJdnLUgnCAcKm\nIrkWQxERTmAFdyhcHfYZBcchdHz223UHC+u3yO9usLqxPVENyEnu+pM8Y2aNUIpy06PuhjQ+d2/g\n/klGvDco1WOJPCvcdvZv89g7ohnHLB4Mzo6fiBH94bRqPp410xaxVoDdDPM1mIWZs2Ym3Pzkq8zL\no5tu86Hk1D2nRawHlq/5osf48rc9AobBh9feTWvuyEv3idcO+PhH/t0Ztk6j0Wg0Go3mgWQDmF3k\nWDMRWRzvBgkgyzt7LG/v9tmKNSYYrSyUoCUaeMJhq9Si0vC5s9PkU9cPqDuTZSXUWgFxfDaD07Jm\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ry9vLvwOYBzaA/0TiAX8W+ZHnjuYrr/R83nyowJsvPY9pTFv71NxvfPM7n8TxIz44d8D3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\nHAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd257c7b320>"
]
},
"metadata": {
"image/png": {
"height": 279,
"width": 856
}
},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace0);"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Bridge sampling estimate of the log marginal likelihood: -37.53903\n"
]
}
],
"source": [
"logml0 = Marginal_llk(trace0, model=H0, maxiter=1000)\n",
"print('Bridge sampling estimate of the log marginal likelihood: %.5f'\n",
" %(logml0['logml']))"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AAG3EcRxfxjlU5zLtskB/f+U2nbUBdLr0dN43jsXq0/BwV/ZpTdlTlfErdLJi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6/uf75/fCW/w7VC5zWzci8E45136TGboBml/xcyZ5lUl/Oz0wY7jyZnOZ+1ylwtXJnhqlbfpS8j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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd24cffebe0>"
]
},
"metadata": {
"image/png": {
"height": 302,
"width": 487
}
},
"output_type": "display_data"
}
],
"source": [
"_, ax=plt.subplots(1,1,figsize=(8,5))\n",
"for dist in ['q11', 'q12', 'q21', 'q22']:\n",
" sns.distplot(logml0[dist], ax=ax, label=dist)\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above figure shows: \n",
"`q11` - the Model log-liklihood of the posterior sample \n",
"`q12` - the Multivariate Normal log-liklihood of the posterior sample \n",
"`q21` - the Model log-liklihood of the generated sample \n",
"`q22` - the Multivariate Normal log-liklihood of the generated sample \n",
"\n",
"With these information, you can then compute the error measures for estimated marginal likelihood. In the R package a function `coda::spectrum0.ar` is called, here I wrote a version using `AR` from `statsmodels` - result might differ a little bit."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"from scipy.linalg import lstsq\n",
"from statsmodels.tsa.ar_model import AR\n",
"def spectrum0_ar(x):\n",
" \"\"\"Port of spectrum0.ar from coda::spectrum0.ar\"\"\"\n",
" z = np.arange(1, len(x)+1)\n",
" z = z[:, np.newaxis]**[0, 1]\n",
" p, res, rnk, s = lstsq(z, x)\n",
" residuals = x - np.matmul(z, p)\n",
" \n",
" if residuals.std() == 0:\n",
" spec = order = 0\n",
" else:\n",
" ar_out = AR(x).fit(ic='aic', trend='c')\n",
" order = ar_out.k_ar\n",
" spec = np.var(ar_out.resid)/(1 - np.sum(ar_out.params[1:]))**2\n",
" \n",
" return spec, order"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"def error_measures(logml):\n",
" \"\"\"Port of the error_measures.R in bridgesampling \n",
" https://github.com/quentingronau/bridgesampling/blob/master/R/error_measures.R\n",
" \"\"\"\n",
" ml = np.exp(logml['logml'])\n",
" g_p = np.exp(logml['q12'])\n",
" g_g = np.exp(logml['q22'])\n",
" priorTimesLik_p = np.exp(logml['q11'])\n",
" priorTimesLik_g = np.exp(logml['q21'])\n",
" p_p = priorTimesLik_p/ml\n",
" p_g = priorTimesLik_g/ml\n",
"\n",
" N1 = len(p_p)\n",
" N2 = len(g_g)\n",
" s1 = N1/(N1 + N2)\n",
" s2 = N2/(N1 + N2)\n",
"\n",
" f1 = p_g/(s1*p_g + s2*g_g)\n",
" f2 = g_p/(s1*p_p + s2*g_p)\n",
" rho_f2, _ = spectrum0_ar(f2)\n",
"\n",
" term1 = 1/N2 * np.var( f1 ) / np.mean( f1 )**2\n",
" term2 = rho_f2/N1 * np.var( f2 ) / np.mean( f2 )**2\n",
"\n",
" re2 = term1 + term2\n",
"\n",
" # convert to coefficient of variation (assumes that bridge estimate is unbiased)\n",
" cv = np.sqrt(re2)\n",
"\n",
" return dict(re2 = re2, cv = cv)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The percentage errors of the estimation is: 0.32839\n"
]
}
],
"source": [
"print('The percentage errors of the estimation is: %.5f'\n",
" %(error_measures(logml0)['cv']*100))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(The error is larger than in the R example, because here I am using 5 times less samples.)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Bridge sampling estimate of the log marginal likelihood: -37.80238\n"
]
}
],
"source": [
"logml1 = Marginal_llk(trace1, model=H1, maxiter=1000)\n",
"print('Bridge sampling estimate of the log marginal likelihood: %.5f'\n",
" %(logml1['logml']))"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The percentage errors of the estimation is: 0.37843\n"
]
}
],
"source": [
"print('The percentage errors of the estimation is: %.5f'\n",
" %(error_measures(logml1)['cv']*100))"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The estimated Bayes factor in favor of Model_1 over Model_2 is equal to: 1.30128\n"
]
}
],
"source": [
"BF01 = np.exp(logml0['logml'] - logml1['logml'])\n",
"print('The estimated Bayes factor in favor of Model_1 over Model_2 is equal to: %.5f'\n",
" %(BF01))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The result is pretty much the same as in the R example.\n",
"\n",
"There is also another way to compute marginal likelihood in PyMC3, using Sequential Monte Carlo sampler. You can find more information about it in the [Documentation](http://docs.pymc.io/notebooks/Bayes_factor.html). \n",
"**!Warning!: This can take a while to sample.**"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/laoj/Documents/Github/pymc3/pymc3/step_methods/smc.py:480: UserWarning: Warning: SMC is an experimental step method, and not yet recommended for use in PyMC3!\n",
" warnings.warn(EXPERIMENTAL_WARNING)\n",
"Argument `step` is None. Auto-initialising step object using given/default parameters.\n",
"/home/laoj/Documents/Github/pymc3/pymc3/step_methods/smc.py:120: UserWarning: Warning: SMC is an experimental step method, and not yet recommended for use in PyMC3!\n",
" warnings.warn(EXPERIMENTAL_WARNING)\n",
"Adding model likelihood to RVs!\n",
"Init new trace!\n",
"Sample initial stage: ...\n",
"Beta: 0.000000 Stage: 0\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.044787 Stage: 1\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.082467 Stage: 2\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.124089 Stage: 3\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.181498 Stage: 4\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.274007 Stage: 5\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.437268 Stage: 6\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.661632 Stage: 7\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.871760 Stage: 8\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta > 1.: 1.080540\n",
"Sample final stage\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"/home/laoj/Documents/Github/pymc3/pymc3/step_methods/smc.py:480: UserWarning: Warning: SMC is an experimental step method, and not yet recommended for use in PyMC3!\n",
" warnings.warn(EXPERIMENTAL_WARNING)\n",
"Argument `step` is None. Auto-initialising step object using given/default parameters.\n",
"/home/laoj/Documents/Github/pymc3/pymc3/step_methods/smc.py:120: UserWarning: Warning: SMC is an experimental step method, and not yet recommended for use in PyMC3!\n",
" warnings.warn(EXPERIMENTAL_WARNING)\n",
"Adding model likelihood to RVs!\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_0\n",
"Init new trace!\n",
"Sample initial stage: ...\n",
"Beta: 0.000000 Stage: 0\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.030435 Stage: 1\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_1\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.056879 Stage: 2\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_2\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.081850 Stage: 3\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_3\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.114061 Stage: 4\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_4\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.161708 Stage: 5\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_5\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.237241 Stage: 6\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_6\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.371523 Stage: 7\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_7\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.566391 Stage: 8\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_8\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta: 0.806123 Stage: 9\n",
"Initialising chain traces ...\n",
"Sampling ...\n",
"Beta > 1.: 1.145267\n",
"Sample final stage\n",
"Removing previous sampling results ... /tmp/SMC_TESTgpo_0wuk/stage_-1\n",
"Initialising chain traces ...\n",
"Sampling ...\n"
]
}
],
"source": [
"#SMC related set up\n",
"from tempfile import mkdtemp\n",
"test_folder = mkdtemp(prefix='SMC_TEST')\n",
"n_steps = 20\n",
"n_chains = 1000\n",
"\n",
"from pymc3.step_methods import smc\n",
"with pm.Model() as H0_:\n",
" tau0 = pm.InverseGamma('tau', alpha, beta, transform=None)\n",
" theta0 = pm.Normal('theta', 0, tt.sqrt(tau0), shape=n)\n",
" obs0 = pm.Normal('y', theta0, np.sqrt(sigma2), observed=y)\n",
" trace0_ = smc.sample_smc(n_steps=n_steps,\n",
" n_chains=n_chains,\n",
" progressbar=False,\n",
" homepath=test_folder,\n",
" stage=0)\n",
"\n",
"with pm.Model() as H1_:\n",
" mu1 = pm.Normal('mu', mu0, np.sqrt(tau20))\n",
" tau1 = pm.InverseGamma('tau', alpha, beta, transform=None)\n",
" theta1 = pm.Normal('theta', mu1, tt.sqrt(tau1), shape=n)\n",
" obs1 = pm.Normal('y', theta1, np.sqrt(sigma2), observed=y)\n",
" trace1_ = smc.sample_smc(n_steps=n_steps,\n",
" n_chains=n_chains,\n",
" progressbar=False,\n",
" homepath=test_folder,\n",
" stage=0)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SMC estimate of log marginal likelihood for H0 is: -15.20573\n",
"SMC estimate of log marginal likelihood for H1 is: -16.49513\n"
]
}
],
"source": [
"print('SMC estimate of log marginal likelihood for H0 is: %.5f'\n",
" %(np.log(H0_.marginal_likelihood)))\n",
"print('SMC estimate of log marginal likelihood for H1 is: %.5f'\n",
" %(np.log(H1_.marginal_likelihood)))"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The estimated Bayes factor in favor of Model_1 over Model_2 is equal to: 3.63061\n"
]
}
],
"source": [
"BF01_ = H0_.marginal_likelihood / H1_.marginal_likelihood\n",
"print('The estimated Bayes factor in favor of Model_1 over Model_2 is equal to: %.5f'\n",
" %(BF01_))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The estimated marginal likelihood is not the same as the one estimated using the Bridge sampling, and the Bayes factor is quite different as well. I guess it is time to double check the marginal likelihood estimation in SMC."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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