{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Metropolis and Gibbs Sampling\n", "====" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Kruschke's book](https://sites.google.com/site/doingbayesiandataanalysis/) begins with a fun example of a politician visiting a chain of islands to canvas support - being callow, the politician uses a simple rule to determine which island to visit next. Each day, the politician chooses a neighboring island and compares the populations there with the population of the current island. If the neighboring island has a larger population, the politician goes over. If the neighboring island has a smaller population, then the politician visits with probability $p = p_\\text{neighbor} / p_\\text{current}$; otherwise the politician stays on the same island. After doing this for many days, the politician will end up spending time on each island proportional to the population of each island - in other words, estimating the distribution of island populations correctly. How a simple comparison of only two states at a time can lead to accurate estimation of a probability density is the topic of the next few lectures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Island hopping\n", "----" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def make_islands(n, low=10, high=101):\n", " islands = np.random.randint(low, high, n+2)\n", " islands[0] = 0\n", " islands[-1] = 0\n", " return islands" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def hop(islands, start=1, niter=1000):\n", " pos = start\n", " pop = islands[pos]\n", " thetas = np.zeros(niter+1, dtype='int')\n", " thetas[0] = pos\n", " for i in range(niter):\n", " # generate sample from proposal distribution\n", " k = np.random.choice([-1, 1], 1)\n", " next_pos = pos + k\n", " # evaluate unnormalized target distribution at proposed position\n", " next_pop = islands[next_pos]\n", " # calculate acceptance probability\n", " p = min(1, next_pop/pop)\n", " # use uniform random to decide accept/reject proposal\n", " if np.random.random() < p:\n", " pos = next_pos\n", " pop = next_pop\n", " thetas[i+1] = pos\n", " return thetas" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "islands = make_islands(10)\n", "thetas = hop(islands, start=1, niter=10000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### True population proportions" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = islands[1:-1]\n", "data = data/data.sum()\n", "sns.barplot(x=np.arange(len(data)), y=data)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Estimated population proportions" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.bincount(thetas)[1:]\n", "data = data/data.sum()\n", "sns.barplot(x=np.arange(len(data)), y=data)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generic Metropolis scheme" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def metroplis(start, target, proposal, niter, nburn=0):\n", " current = start\n", " post = [current]\n", " for i in range(niter):\n", " proposed = proposal(current)\n", " p = min(target(proposed)/target(current), 1)\n", " if np.random.random() < p:\n", " current = proposed\n", " post.append(current)\n", " return post[nburn:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Apply to island hooper" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "target = lambda x: islands[x]\n", "proposal = lambda x: x + np.random.choice([-1, 1])\n", "post = metroplis(1, target, proposal, 2000)\n", "data = np.bincount(post)[1:]\n", "data = data/data.sum()\n", "sns.barplot(x=np.arange(len(data)), y=data)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bayesian Data Analysis\n", "----\n", "\n", "The fundamental objective of Bayesian data analysis is to determine the posterior distribution\n", "\n", "$$\n", "p(\\theta \\ | \\ X) = \\frac{p(X \\ | \\ \\theta) p(\\theta)}{p(X)}\n", "$$\n", "\n", "where the denominator is\n", "\n", "$$\n", "p(X) = \\int d\\theta^* p(X \\ | \\ \\theta^*) p(\\theta^*) \n", "$$\n", "\n", "Here, \n", "\n", "- $p(X \\ | \\ \\theta)$ is the likelihood, \n", "- $p(\\theta)$ is the prior and \n", "- $p(X)$ is a normalizing constant also known as the evidence or marginal likelihood\n", "\n", "The computational issue is the difficulty of evaluating the integral in the denominator. There are many ways to address this difficulty, including:\n", "\n", "- In cases with conjugate priors (with conjugate priors, the posterior has the same distribution as the prior), we can get closed form solutions\n", "- We can use numerical integration\n", "- We can approximate the functions used to calculate the posterior with simpler functions and show that the resulting approximate posterior is \"close\" to true posterior (variational Bayes)\n", "- We can use Monte Carlo methods, of which the most important is Markov Chain Monte Carlo (MCMC). In simple Monte Carlo inegration, we want to estimate the integral $f(x) \\, p(x) dx$. Wtih Bayesain models, the distribution $p(x)$ in the integral is the posterior\n", "\n", "$$\n", "p(x) = p(\\theta \\ | \\ X) = \\frac{p(X \\ | \\ \\theta) p(\\theta)}{\\int d\\theta^* p(X \\ | \\ \\theta^*) p(\\theta^*) }\n", "$$\n", "- MCMC allows to sample from the posterior distribution - the samples will not be independent unlike simple Monte Carlo integration, but this is OK as we can compensate for the auto-correlation by drawing a larger number of samples." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Motivating example\n", "\n", "We will use the toy example of estimating the bias of a coin given a sample consisting of $n$ tosses to illustrate a few of the approaches." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Analytical solution\n", "\n", "If we use a beta distribution as the prior, then the posterior distribution has a closed form solution. This is shown in the example below. Some general points:\n", "\n", "- We need to choose a prior distribution family (i.e. the beta here) as well as its parameters (here a=10, b=10)\n", " - The prior distribution may be relatively uninformative (i.e. more flat) or informative (i.e. more peaked)\n", "- The posterior depends on both the prior and the data\n", " - As the amount of data becomes large, the posterior approximates the MLE\n", " - An informative prior takes more data to shift than an uninformative one\n", "- Of course, it is also important the model used (i.e. the likelihood) is appropriate for the fitting the data\n", "- The mode of the posterior distribution is known as the maximum a posteriori (MAP) estimate (cf MLE which is the mode of the likelihood)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy.stats as stats" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hKdaCjoUrLIveqEn2QbIs/yzL8nFZlrfKsnyhC2QRCNoM2sxMzF27QZV6mNQz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\nhRCpeW6OSMcjRRefTy+1feqUiQkTcmnSJPovk83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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 100\n", "h = 61\n", "p = h/n\n", "rv = stats.binom(n, p)\n", "mu = rv.mean()\n", "\n", "a, b = 10, 10\n", "prior = stats.beta(a, b)\n", "post = stats.beta(h+a, n-h+b)\n", "ci = post.interval(0.95)\n", "\n", "thetas = np.linspace(0, 1, 200)\n", "plt.plot(thetas, prior.pdf(thetas), label='Prior', c='blue')\n", "plt.plot(thetas, post.pdf(thetas), label='Posterior', c='red')\n", "plt.plot(thetas, n*stats.binom(n, thetas).pmf(h), label='Likelihood', c='green')\n", "plt.axvline((h+a-1)/(n+a+b-2), c='red', linestyle='dashed', alpha=0.4, label='MAP')\n", "plt.axvline(mu/n, c='green', linestyle='dashed', alpha=0.4, label='MLE')\n", "plt.xlim([0, 1])\n", "plt.axhline(0.3, ci[0], ci[1], c='black', linewidth=2, label='95% CI');\n", "plt.xlabel(r'$\\theta$', fontsize=14)\n", "plt.ylabel('Density', fontsize=16)\n", "plt.legend(loc='upper left')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Numerical integration\n", "\n", "One simple way of numerical integration is to estimate the values on a grid of values for $\\theta$. To calculate the posterior, we find the prior and the likelihood for each value of $\\theta$, and for the marginal likelihood, we replace the integral with the equivalent sum\n", "\n", "$$\n", "p(X) = \\sum_{\\theta^*} p(X | \\theta^*) p(\\theta^*) \n", "$$\n", "\n", "One advantage of this is that the prior does not have to be conjugate (although the example below uses the same beta prior for ease of comparison), and so we are not restricted in our choice of an appropriate prior distribution. For example, the prior can be a mixture distribution or estimated empirically from data. The disadvantage, of course, is that this is computationally very expensive when we need to estimate multiple parameters, since the number of grid points grows as $\\mathcal{O}(n^d)$, where $n$ defines the grid resolution and $d$ is the size of $\\theta$." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DpwCbgFWOVock9TlKeTlKTU27cyzyD+QRHxJPVHC0W+7VfHtVJ9dcCz8ePit5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\n9a98Lr206p5KsH/5BQmffoK793UcUo3I+GYe9ZM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thetas = np.linspace(0, 1, 200)\n", "prior = stats.beta(a, b)\n", "\n", "post = prior.pdf(thetas) * stats.binom(n, thetas).pmf(h)\n", "# Normalzie so volume is 1\n", "post /= (post.sum() / len(thetas))\n", "\n", "plt.plot(thetas, prior.pdf(thetas), label='Prior', c='blue')\n", "plt.plot(thetas, n*stats.binom(n, thetas).pmf(h), label='Likelihood', c='green')\n", "plt.plot(thetas, post, label='Posterior', c='red')\n", "plt.xlim([0, 1])\n", "plt.xlabel(r'$\\theta$', fontsize=14)\n", "plt.ylabel('Density', fontsize=16)\n", "plt.legend()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Markov Chain Monte Carlo (MCMC)\n", "\n", "This lecture will only cover the basic ideas of MCMC and the 3 common variants - Metroplis, Metropolis-Hastings and Gibbs sampling. All code will be built from the ground up to illustrate what is involved in fitting an MCMC model, but only toy examples will be shown since the goal is conceptual understanding. More realistic computational examples will be shown in coming lectures using the pymc3 and pystan packages.\n", "\n", "In Bayesian statistics, we want to estimate the posterior distribution, but this is often intractable due to the high-dimensional integral in the denominator (marginal likelihood). A few other ideas we have encountered that are also relevant here are Monte Carlo integration with independent samples and the use of proposal distributions (e.g. rejection and importance sampling). As we have seen from the Monte Carlo integration lectures, we can approximate the posterior $p(\\theta | X)$ if we can somehow draw many samples that come from the posterior distribution. With vanilla Monte Carlo integration, we need the samples to be independent draws from the posterior distribution, which is a problem if we do not actually know what the posterior distribution is (because we cannot integrate the marginal likelihood). \n", "\n", "With MCMC, we draw samples from a (simple) proposal distribution so that each draw depends only on the state of the previous draw (i.e. the samples form a Markov chain). Under certain conditions, the Markov chain will have a unique stationary distribution. In addition, not all samples are used - instead we set up acceptance criteria for each draw based on comparing successive states with respect to a target distribution that ensure that the stationary distribution is the posterior distribution of interest. The nice thing is that this target distribution only needs to be proportional to the posterior distribution, which means we don't need to evaluate the potentially intractable marginal likelihood, which is just a normalizing constant. We can find such a target distribution easily, since posterior $\\propto$ likelihood $\\times$ prior. After some time, the Markov chain of accepted draws will converge to the stationary distribution, and we can use those samples as (correlated) draws from the posterior distribution, and find functions of the posterior distribution in the same way as for vanilla Monte Carlo integration. \n", "\n", "There are several flavors of MCMC, but the simplest to understand is the Metropolis-Hastings random walk algorithm, and we will start there." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Metropolis-Hastings random walk algorithm for estimating the bias of a coin\n", "\n", "To carry out the Metropolis-Hastings algorithm, we need to draw random samples from the following distributions\n", "\n", "- the standard uniform distribution\n", "- a proposal distribution $p(x)$ that we choose to be $\\mathcal{N}(0, \\sigma)$\n", "- the target distribution $g(x)$ which is proportional to the posterior probability\n", "\n", "Given an initial guess for $\\theta$ with positive probability of being drawn, the Metropolis-Hastings algorithm proceeds as follows\n", "\n", "- Choose a new proposed value ($\\theta_p$) such that $\\theta_p = \\theta + \\Delta\\theta$ where $\\Delta \\theta \\sim \\mathcal{N}(0, \\sigma)$\n", "- Caluculate the ratio\n", "\n", "$$\n", "\\rho = \\frac{g(\\theta_p \\ | \\ X)}{g(\\theta \\ | \\ X)} \n", "$$\n", "\n", "where $g$ is the posterior probability. \n", "\n", "- If the proposal distribution is not symmetrical, we need to weight the acceptance probability to maintain detailed balance (reversibility) of the stationary distribution, and instead calculate\n", "\n", "$$\n", "\\rho = \\frac{g(\\theta_p \\ | \\ X) p(\\theta \\ | \\ \\theta_p)}{g(\\theta \\ | \\ X) p(\\theta_p \\ | \\ \\theta)} \n", "$$\n", "\n", "Since we are taking ratios, the denominator cancels any distribution proportional to $g$ will also work - so we can use \n", "\n", "$$\n", "\\rho = \\frac{p(X | \\theta_p ) p(\\theta_p)}{p(X | \\theta ) p(\\theta)}\n", "$$\n", " \n", "- If $\\rho \\ge 1$, then set $\\theta = \\theta_p$\n", "- If $\\rho \\lt 1$, then set $\\theta = \\theta_p$ with probability $\\rho$, otherwise set $\\theta = \\theta$ (this is where we use the standard uniform distribution)\n", "- Repeat the earlier steps\n", "\n", "After some number of iterations $k$, the samples $\\theta_{k+1}, \\theta_{k+2}, \\dots$ will be samples from the posterior distributions. Here are initial concepts to help your intuition about why this is so:\n", "\n", "- We accept a proposed move to $\\theta_{k+1}$ whenever the density of the (unnormalized) target distribution at $\\theta_{k+1}$ is larger than the value of $\\theta_k$ - so $\\theta$ will more often be found in places where the target distribution is denser\n", "- If this was all we accepted, $\\theta$ would get stuck at a local mode of the target distribution, so we also accept occasional moves to lower density regions - it turns out that the correct probability of doing so is given by the ratio $\\rho$\n", "- The acceptance criteria only looks at ratios of the target distribution, so the denominator cancels out and does not matter - that is why we only need samples from a distribution proportional to the posterior distribution\n", "- So, $\\theta$ will be expected to bounce around in such a way that its spends its time in places proportional to the density of the posterior distribution - that is, $\\theta$ is a draw from the posterior distribution. \n", "\n", "Additional notes:\n", "\n", "Different proposal distributions can be used for Metropolis-Hastings:\n", "\n", "- The independence sampler uses a proposal distribution that is independent of the current value of $\\theta$. In this case the proposal distribution needs to be similar to the posterior distribution for efficiency, while ensuring that the acceptance ratio is bounded in the tail region of the posterior.\n", "- The random walk sampler (used in this example) takes a random step centered at the current value of $\\theta$ - efficiency is a trade-off between small step size with high probability of acceptance and large step sizes with low probability of acceptance. Note (picture will be sketched in class) that the random walk may take a long time to traverse narrow regions of the probability distribution. Changing the step size (e.g. scaling $\\Sigma$ for a multivariate normal proposal distribution) so that a target proportion of proposals are accepted is known as *tuning*.\n", "- Much research is being conducted on different proposal distributions for efficient sampling of the posterior distribution.\n", "\n", "We will first see a numerical example and then try to understand why it works." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Efficiency = 0.1904\n" ] } ], "source": [ "def target(lik, prior, n, h, theta):\n", " if theta < 0 or theta > 1:\n", " return 0\n", " else:\n", " return lik(n, theta).pmf(h)*prior.pdf(theta)\n", "\n", "n = 100\n", "h = 61\n", "a = 10\n", "b = 10\n", "lik = stats.binom\n", "prior = stats.beta(a, b)\n", "sigma = 0.3\n", "\n", "naccept = 0\n", "theta = 0.1\n", "niters = 10000\n", "samples = np.zeros(niters+1)\n", "samples[0] = theta\n", "for i in range(niters):\n", " theta_p = theta + stats.norm(0, sigma).rvs() \n", " rho = min(1, target(lik, prior, n, h, theta_p)/target(lik, prior, n, h, theta ))\n", " u = np.random.uniform()\n", " if u < rho:\n", " naccept += 1\n", " theta = theta_p\n", " samples[i+1] = theta\n", "nmcmc = len(samples)//2\n", "print(\"Efficiency = \", naccept/niters)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "post = stats.beta(h+a, n-h+b)\n", "\n", "plt.hist(samples[nmcmc:], 40, histtype='step', normed=True, linewidth=1, label='Prior');\n", "plt.hist(prior.rvs(nmcmc), 40, histtype='step', normed=True, linewidth=1, label='Posterior');\n", "plt.plot(thetas, post.pdf(thetas), c='red', linestyle='--', alpha=0.5, label='True posterior')\n", "plt.xlim([0,1]);\n", "plt.legend(loc='upper left')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Assessing for convergence\n", "\n", "Trace plots are often used to informally assess for stochastic convergence. Rigorous demonstration of convergence is an unsolved problem, but simple ideas such as running multiple chains and checking that they are converging to similar distributions are often employed in practice." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def mh_coin(niters, n, h, theta, lik, prior, sigma):\n", " samples = [theta]\n", " while len(samples) < niters:\n", " theta_p = theta + stats.norm(0, sigma).rvs() \n", " rho = min(1, target(lik, prior, n, h, theta_p)/target(lik, prior, n, h, theta ))\n", " u = np.random.uniform()\n", " if u < rho:\n", " theta = theta_p\n", " samples.append(theta)\n", " return samples" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 100\n", "h = 61\n", "lik = stats.binom\n", "prior = stats.beta(a, b)\n", "sigma = 0.05\n", "niters = 100\n", "\n", "sampless = [mh_coin(niters, n, h, theta, lik, prior, sigma) for theta in np.arange(0.1, 1, 0.2)]" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ibRN8cFdtm30tH4KSzoIkFRLKUucjfPb6LxaeiVpRg97Bp2nVF60KeS0xsyqE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\nlyQLzGwJsITRA8oAjwGvyyi7HPjZhK5QRERKJpZIJPKeZGa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convergence of multiple chains\n", "\n", "for samples in sampless:\n", " plt.plot(samples, '-o')\n", "plt.xlim([0, niters])\n", "plt.ylim([0, 1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Why does Metropolis-Hastings work?\n", "\n", "There are two main ideas - first that the samples generated by MCMC constitute a Markov chain, and that this Markov chain has a unique stationary distribution that is always reached if we generate a very large number of samples. The second idea is to show that this stationary distribution is exactly the posterior distribution that we are looking for. We will only give the intuition here as a refresher.\n", "\n", "#### One: There is a unique stationary state\n", "\n", "Since possible transitions depend only on the current and the proposed values of $\\theta$, the successive values of $\\theta$ in a Metropolis-Hastings sample constitute a Markov chain. Recall that for a Markov chain with a transition matrix $T$\n", "\n", "$$\n", "\\pi = \\pi T\n", "$$\n", "\n", "means that $\\pi$ is a stationary distribution. If it is possible to go from any state to any other state, then the matrix is irreducible. If in addition, it is not possible to get stuck in an oscillation, then the matrix is also aperiodic or mixing. For finite state spaces, irreducibility and aperiodicity guarantee the existence of a unique stationary state. For continuous state space, we need an additional property of positive recurrence - starting from any state, the expected time to come back to the original state must be finite. If we have all 3 properties of irreducibility, aperiodicity and positive recurrence, then there is a unique stationary distribution. The term ergodic is a little confusing - most standard definitions take ergodicity to be equivalent to irreducibility, but often Bayesian texts take ergodicity to mean irreducibility, aperiodicity and positive recurrence, and we will follow the latter convention. For another intuitive perspective, the random walk Metropolis-Hasting algorithm is analogous to a diffusion process. Since all states are communicating (by design), eventually the system will settle into an equilibrium state. This is analogous to converging on the stationary state. \n", "\n", "#### Two: The stationary state is the posterior probability distribution\n", "\n", "We will consider the simplest possible scenario for an explicit calculation. Suppose we have a two-state system where the posterior probabilities are $\\theta$ and $1 - \\theta$. Suppose $\\theta \\lt 0.5$. So we have the following picture with the Metropolis-Hastings algorithm:\n", "\n", "![Markov chain](mcmc.png)\n", "\n", "and we find the stationary distribution $\\pi = \\left( \\begin{array}{cc} p & 1-p \\end{array} \\right)$ by solving\n", "\n", "\n", "\\begin{align}\n", "\\left( \\begin{array}{cc} p & 1-p \\end{array} \\right) &=\n", "\\left( \\begin{array}{cc} p & 1-p \\end{array} \\right) \\left( \n", "\\begin{array}{cc}\n", "0 & 1 \\\\\n", "\\frac{\\theta}{1-\\theta} & 1-\\frac{\\theta}{1-\\theta} \n", "\\end{array} \n", "\\right)\n", "\\end{align}\n", "\n", "\n", "to be $\\pi = \\left( \\begin{array}{cc} \\theta & 1-\\theta \\end{array} \\right)$, which is the posterior distribution.\n", "\n", "The final point is that a stationary distribution has to follow the detailed balance (reversibility) criterion that says that the probability of being in state $x$ and moving to state $y$ must be the same as the probability of being in state $y$ and moving to state $x$. Or, more briefly,\n", "\n", "$$\n", "\\pi(x)T(x \\to y) = \\pi(y)T(y \\to x)\n", "$$\n", "\n", "and the need to make sure that this condition is true accounts for the strange looking acceptance criterion\n", "\n", "$$\n", "\\min \\left(1, \\frac{g(\\theta_p \\ | \\ X) p(\\theta \\ | \\ \\theta_p)}{g(\\theta \\ | \\ X) p(\\theta_p \\ | \\ \\theta)} \\right)\n", "$$\n", "\n", "### Intuition\n", "\n", "We want the stationary distribution $\\pi(x)$ to be the posterior distribution $P(x)$. So we set\n", "\n", "$$\n", "P(x)T(x \\to y) = P(y)T(y \\to x)\n", "$$\n", "\n", "Rearranging, we get\n", "\n", "$$\n", "\\frac{T(x \\to y)}{T(y \\to x)} = \\frac{P(y)}{P(x)}\n", "$$\n", "\n", "We split the transition probability into separate proposal $q$ and acceptance $A$ parts, and after a little algebraic rearrangement get\n", "\n", "$$\n", "\\frac{A(x \\to y)}{A(y \\to x)} = \\frac{P(y) \\, q(y \\to x)}{P(x) \\, q(x \\to y)}\n", "$$\n", "\n", "An acceptance probability that meets this condition is\n", "$$\n", "A(x \\to y) = \\min \\left(1, \\frac{P(y) \\, q(y \\to x)}{P(x) \\, q(x \\to y)} \\right)\n", "$$\n", "\n", "since $A$ in the numerator and denominator are both bounded above by 1.\n", "\n", "See [Chib and Greenberg](https://eml.berkeley.edu/reprints/misc/understanding.pdf) for algebraic details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Gibbs sampler\n", "\n", "Suppose we have a vector of parameters $\\theta = (\\theta_1, \\theta_2, \\dots, \\theta_k)$, and we want to estimate the joint posterior distribution $p(\\theta | X)$. Suppose we can find and draw random samples from all the conditional distributions \n", "\n", "$$\n", "p(\\theta_1 | \\theta_2, \\dots \\theta_k, X) \\\\\n", "p(\\theta_2 | \\theta_1, \\dots \\theta_k, X) \\\\\n", "\\dots \\\\\n", "p(\\theta_k | \\theta_1, \\theta_2, \\dots, X) \n", "$$\n", "\n", "With Gibbs sampling, the Markov chain is constructed by sampling from the conditional distribution for each parameter $\\theta_i$ in turn, treating all other parameters as observed. When we have finished iterating over all parameters, we are said to have completed one cycle of the Gibbs sampler. Since hierarchical models are typically set up as products of conditional distributions, the Gibbs sampler is ubiquitous in Bayesian modeling. Where it is difficult to sample from a conditional distribution, we can sample using a Metropolis-Hastings algorithm instead - this is known as Metropolis within Gibbs. \n", "\n", "Gibbs sampling is a type of random walk through parameter space, and hence can be thought of as a Metropolis-Hastings algorithm with a special proposal distribution. At each iteration in the cycle, we are drawing a proposal for a new value of a particular parameter, where the proposal distribution *is* the conditional posterior probability of that parameter. This means that the proposal move is *always* accepted. Hence, if we can draw samples from the conditional distributions, Gibbs sampling can be much more efficient than regular Metropolis-Hastings. \n", "More formally, we want to show that \n", "\n", "$$\n", "\\frac{P(y) \\, q(y \\to x)}{P(x) \\, q(x \\to y)} = 1\n", "$$\n", "\n", "We start by noting that $P(x_{-i}$ is the same as $P(y_{-i})$ since apart from the component $i$, the old state and the proposed new state are identical in Gibbs sampling. We also recall that \n", "\n", "$$P(x_i \\mid x_{-i}) \\, P(x_{-i}) = P(x_i, x_{-i} = P(x)$$ \n", "\n", "by definition of conditional probability. So we have\n", "\n", "\n", "\\begin{align}\n", "\\frac{P(y) \\, q(y \\to x)}{P(x) \\, q(x \\to y)} &= \\frac{P(y_i \\mid y_{-1}) \\, P(y_{-i})\\, P(x_i \\mid x_{-i}) }{P(x_i \\mid x_{-i}) \\, P(x_{-i})\\, P(y_i \\mid y_{-1})} &= 1\n", "\\end{align}\n", "\n", "\n", "\n", "**Advantages of Gibbs sampling**\n", "\n", "- No need to tune proposal distribution\n", "- Proposals are always accepted\n", "\n", "**Disadvantages of Gibbs sampling**\n", "\n", "- Need to be able to derive conditional probability distributions \n", "- Need to be able to (cheaply) draw random samples from conditional probability distributions\n", "- Can be very slow if parameters are correlated because you cannot take \"diagonal\" steps (draw picture to illustrate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Motivating example\n", " \n", "We will use the toy example, familiar from the EM lecture, of estimating the bias of two coins given sample pairs $(z_1, n_1)$ and $(z_2, n_2)$ where $z_i$ is the number of heads in $n_i$ tosses for coin $i$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Setup" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def bern(theta, z, N):\n", " \"\"\"Bernoulli likelihood with N trials and z successes.\"\"\"\n", " return np.clip(theta**z * (1-theta)**(N-z), 0, 1)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def bern2(theta1, theta2, z1, z2, N1, N2):\n", " \"\"\"Bernoulli likelihood with N trials and z successes.\"\"\"\n", " return bern(theta1, z1, N1) * bern(theta2, z2, N2)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def make_thetas(xmin, xmax, n):\n", " xs = np.linspace(xmin, xmax, n)\n", " widths =(xs[1:] - xs[:-1])/2.0\n", " thetas = xs[:-1]+ widths\n", " return thetas" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "def make_plots(X, Y, prior, likelihood, posterior, projection=None):\n", " fig, ax = plt.subplots(1,3, subplot_kw=dict(projection=projection, aspect='equal'), figsize=(12,3))\n", " if projection == '3d':\n", " ax[0].plot_surface(X, Y, prior, alpha=0.3, cmap=plt.cm.jet)\n", " ax[1].plot_surface(X, Y, likelihood, alpha=0.3, cmap=plt.cm.jet)\n", " ax[2].plot_surface(X, Y, posterior, alpha=0.3, cmap=plt.cm.jet)\n", " for ax_ in ax: ax_._axis3don = False\n", " else:\n", " ax[0].contour(X, Y, prior, cmap=plt.cm.jet)\n", " ax[1].contour(X, Y, likelihood, cmap=plt.cm.jet)\n", " ax[2].contour(X, Y, posterior, cmap=plt.cm.jet)\n", " ax[0].set_title('Prior')\n", " ax[1].set_title('Likelihood')\n", " ax[2].set_title('Posteior') \n", " plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": true }, "outputs": [], "source": [ "thetas1 = make_thetas(0, 1, 101)\n", "thetas2 = make_thetas(0, 1, 101)\n", "X, Y = np.meshgrid(thetas1, thetas2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Analytic solution" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nl0N3Ut/TkPqehgQIcMi6n522beyxqawKXcaakBXU9zTk6oxrqRSI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AgwZcoZPP30Ah544BuuuupjJk9exD33DGuwAquqQr8eNv16xLn98jhFpfBjUGPpapW1m1S27lQp\nKlVI5g3A5YJmeRq5GXE6t7U5sptFrwK73vgd2xb8+c8zeeedIH37Nufee4ftx6uXSCSpoigKN900\ngIEDW3LVVR/xyCOz+fDDVTz44EgGDKg7fWy6D84dmuDcoQmKKhxL+3crNH5ar7J8s8aKrUry/AJR\nS82crDTB0G4mfTpYHN3DpHd7u0bQ654Eg7s4++x32LSpnKuv7sO11/b9xdf+S2h0aqnSZ9q2BS7D\nEX6VhYjSkvc/lNSD7qQLSFStjlq2caoTqtS0xFtN2iE0A23zsjr7bnf8GDbN+pw1H07lsMuu+sXX\nsr8QQrD4+WdRNI3OZ5yV0jHG0i8R7jTMtofXc+IQWCswGVhnblCBoEQrJsPKrDfLzWZboakq6k0x\nurPEeTEns2FBX1HhOMoGAjIYTSL5vaBpKldddSQnnNCRv/71C6ZNW80xx7zMSSd15sYb+9OtW92G\nhd3JzoCR/SxG9qu7NkZeXoDCwtQc7sPhBNddN52pU1fQo0ceL7988gEr1y6RSGpn4MCWfPnlBdx9\n95dMnryIE098g7FjO3HLLYPIywvUe2y23ylKNa6PYxwUAopDsL1EpTSsEIo5GfdcBmT7Bc0ybbJS\nLEMkhGDy5IVceeWHhMMJbr/9KK677sDmnK+NRhcUW22hF7iTPk+xeNJVI2mhL6+00As3qlCJ1BD0\nTRHoaGLDHifWMVt2Q9+4BMyaGXAq6TDuZFRdZ9nLkxtV/vM1H0xl15JFdDjxZPzNavcl2x1t60r0\nrSuJdx8Get0mKUPMA2xMpXedbUJqBTE1SraVU2ebiIBttkobrf6c9zuKnPetSXbD97a0tFLQp+j4\nJpFIDhratMngxRdP4s03T6NXr3zee28Fw4dP5uyz32HmzLUHtKDcjz9u4/jjX2Hq1BUMGNCCt946\nnczMBtL9SiSSA0J6upt//GMUH300niOPbMoHH6xk6NBJnH76G3z//ZaUtZqiOCK/a0ubAZ0tju5p\nMbKnxVFdLLq1TF3Mr1lTzDnnTOH8899F0xSeeWYM11/f7zcX89AIBb1hOENKJCy8SeNsZVaDjKSg\nL0kKegUFr51GSN0tAFbRsWiLxkrY4402O/ZBScTQ1y6otW9fkya0Gz2WXUsXs/mrWfvxqn4+iXCY\n7+7+K4qm0e/Pt6V0jPu7twCI9T2x3naG+NLpQxlcZ5tCfRsAuWbdQbNrLOc9a9uAoN9a6LxvzXIb\n/gKWlDhvuvxhlUh+vwwb1oYZM87h5ZdPpm/f5sycuY6zz55Cv37P8dBD37Jixa5fre/Nm8u56aYZ\njB79KsuX7+Lii3vx1lunk52dYtS+RCI5YPTp05yPPjqbF188iZ49m/D228sYM+Y1jj76JZ59dgHb\nt4d+1f6DwV3ceOMMBg9+gZkz13HMMe2ZOfNcTjqp4Fftd19odGuKlRb6RMJGVcHrFoQjjhDMSmZQ\nKbarn4T8doBCfRsCUeUSYind0MVUVLZiU23Rjncfjnfmc7gWfYbZqX+t/R9x7Q2sfv9dZt93F6cO\nnom6Z26iA8y3f7udsg3rOPzq68ns0KnhA8wEnlkvYnsCxPrUL+hdYgZgkFCG1Nlmq7EFgKaJumMK\ngqbznhU0IOg3bHXatWrWcKXboiJn1UX+uEokv28URWHUqPaMGtWehQu388ILC5kyZTmPPDKbRx6Z\nTfv2mRx7bAeGD29N377Nf5EbXjRq8sUX63n99SVMm7YayxJ06pTN/fePZOjQ1vvxqiQSyf5GURSO\nP74Dxx3XnqVLi3jkkW+YNm01t932Obff/jl9+jTnuOPaM2xYG7p3z/vFdWy2bCln2rTVvP32cr7/\n3tFCnTtnc8stg7joot7s3FmxPy5rv9HoBL3LVW2hB0jzCkJJj5qcpKDfuZugD1jpbDe2UKGWE7Cd\nVEGm0hO3mIouFhJXqgV9ovtwhGbg+uFDwqfeWmv/TQ7vTadTT2flO2+x6NmJ9Lri6v1+jamy9KVJ\nLJn0HNldu+2Ddf4NtKLNREZdDp6615BUsQaDheA+DmHV7Yu22diAIhTyzWZ1tllkOg893fX6hfra\nzSpul6BpTsMW+sJC52k7L6+WHFESieR3Sa9e+fzzn8dy773DmT59Ne+/v5IvvljPxInzmThxPooC\nBQU5dO+eR6dO2bRtm0mzZn7y89NIT3fj8Tg/afG4RWlpgmXLtrN+fRnB4E4WLtzBvHlbqgLue/Zs\nwmWXHcEZZ3StMiRJJJLGj6IoDB/elu7dc9i+vYKpU1fw/vsrmTt3C99/v4UJE77G5zM47LAmdOuW\nS4cOWbRunUHz5gFyc70EAtVzRSxmUVYWpbAwzKZN5axZU8zSpTtZsGAbq1cXJ/tzVhPPP78nJ5zQ\nEU1TG4WLzZ40OkFfWSo3kXDEoT8NysPOjfMr4EOwY7fo5EzLqfBaohVVCfoERzrnEnOJM7qqrfBl\nEO85EveP09E2B7Fa1L5UctSEh9g463Nm33c3+Uf2pWmffvv5KhtmxdtvMOvm63FnZTF60qsppaok\nESPt3YcQmkH4hOvrbeqxX07+zzlQx0pVVImwXd9CU7M5blG368sPpoqC4DC97gA1IWDVBpV2Ley9\nCjLURuXyWX5+3Zl1JBLJ7xO/38Vpp3XltNO6Eo2azJmzma++2sDcuVv46acdLF/+81xxunbNYcSI\ntpx0UgGHH57fKH+UJRJJ6uTn+7nsst5cdllvdu4M8+WXG/j66w3Mm7eVuXO3MHv2zysW6ve7OOaY\ndowY0YaxYzvRrFn9QbiNgUYn6CsLCcVijjjM8At2FFVbT5pqgm1W9SRcGaxZpO2iVaItAKbSD4GK\nIb7Z6/yxo87G/eN0PLMmETrn77WOwZubyzFPPs2HfziTj88fz8lTp5PVMQV3l/2AEIJFz07km7/e\niuEPMPaVt8ho2y6lY70fP4G2Yy3h467Czm1VTycxvGISNpmo3tMhVLsQX+tahVAEbWN151WNCfgh\nodFdtwnUY+TauE0hFFHo0q5hdxtwlroAmjdv/F8iiUTy6+Hx6Awb1oZhw5xaGbYtWL++lDVrilm3\nrpQdO0Js315BaWms6nfDMFSaNg3g9xu0apVOp07ZdOuWS1aWdOGTSH6v5Ob6OPXULpx6ahcAIpEE\nK1cWsWZNCRs2lFJYGKawMERZWbxqrnC5VNLT3eTkeGnePED79ll07pxN+/ZZVXWRDhYaoaB3hhSN\nOsui6X7Hhz4WB7cLWqg2ayydiACvAtlmLgC79Oq880JJx6Q3OvNQRClCyah6LdZ7DHZGEzyfTyJ8\n4s0If3at42g9chRDH3yUWTdfz5Sxoxg96TWa9R/wa102ANGSYmb96UZWv/cO3tw8xrz6Fk16pVZ2\nXNu4lLQp92NnNCF8Su3uRJV4xKuo7CCsXINP8cEeVXUrWeFZCkDHeN1BH3MTGjEUBhl1W+cBFq1M\nuuV0SE3Qb9woBb1EItkbVVVo1y6Tdu0y623npK2sfW6TSCS/f7xeg8MOy2+wzsXvhZQEfUFBgQrc\nB1wABIBpwNXBYHBHHe3PAv4CdAK2AM8BDweDwQbVnMdTaaF3BH12ejKzTblCfo6glWZDAjZZKp10\nm2wrF01o7EhmY6kkro7CsOfhEp8QU06vfsFwEz7hevyv3o7vo38TOvNvdY6l+/kXoWgas26+nvdO\nHUOfP97CEdfeiGbs3+qltmmy9KVJzLn/XiKFO2jabwDHPvNCSikqAZRIOelPXoRixim7+N+ItHp+\n6EQUn/0IAjcR9Vrq8lAvV0vZaKyjaaJFlVtTbXwadz5CIwyz3jH+uNwx3/cqqF/4V7JuXQm5uT7S\n0mSl2N8zB3JukUgkhxZyfpEcSqQaCXQ3cB5wLjAEaAm8VVvDgoKC0cBLwNNAT5wvxy1A/WbjJF6v\nI+AqLfTZyXK7lUWJ2mnO32uTbjcaGk3MpuzUd5CgOr98TDkJALfYe5iRoy/BymqOd9oTqDvW1Tue\nbn84n3GvT8Gbk8vcBybwxohBrH7/PWwrNWFaH4lQiKUvv8h/e/bki5uuJVFRzoA77uLkdz9KWcxj\nWwQmXoa+eRnhUVcQ7z263uY+8QQaG4gol2MrdQe6/uRdgFAE3SN1V5oVAj6M6aQpgsGu+u/H3MUa\niiLo3bXh+xaPW2zcWEb79vVb4CS/Cw7Y3CKRSA455PwiOWRoUNAXFBQYwHXArcFg8LNgMPgjMB44\nqqCgoDYflCuAN4PB4H+DweDaYDD4DvAocFEqA/J6HYtvKOSUh83LcgR8ZVGiDsnUiCut6qE3S7RE\nKIKtRnXwg6V0I8FhuMQMVFHTeo/bR2j8PSiJGIGnrwS7fpHZcuhwxn81h27nX0zJqpVMv+Q8XurT\nkzkP3EvhooX7VIQqWlLMqqlT+OSqS3m+e0e+uPEailatott5F3LO7AX0vu4mVD1FTyjbIvD0Vbh/\n+Ih49xGE/nB/vc01sQqf/RA2uYTVP9fZLqZEWexZgNf20TnWrc52802VDbbKcS4TTz2uZuEozF+q\n0aOjTXoKxRvWri3BtgUdO2Y13Fhy0HKg5xaJRHLoIOcXyaFGKsrxcMAPVFVaCgaD6wsKCtbhPPHO\n3qP9veydN0UAKamztDSnMmg47Aj6pskiRNt3OoqxMtf5clMDnDYtEq35gTlsdK2ndaI6gDSqXkzA\nvgGP/T/CWs20j7GBZxCb9wHu79/FN+V+uPLBesflzshk+COP0evKq1k48UlWvv0G8x99mPmPPow7\nM5Psgq5kd+1GWrPmeDKzUF0uhGkSLy8nvGM7ZRvWUxxcRsnqVVXnTG/dls6nX82QG68l5s6op/da\niEcJPHMVntlvk+jYl7LrJ4NWz9sp4gSsy1CIUqY+VSOuYE8WeOcSV2MMrhiBXs9H5NWos5pypidR\n71C/+1EjnlAY3rd+t5xKgkEng0VBQW5K7SUHLQd0bpFIJIcUcn6RHFKkIuhbJv/dM/fPFmCvVCrB\nYHD+7n8XFBSkA1cCH6cyoEqf6VDIcZ9p3sQR8FsKHYt8O83Gg2DJbhb6FvFWaEJnrWslg0PDq/ZH\nlTNJ4y684iki4hqEkl7dkaJQfvFj6GsXkPbuQ9CuAHqf0eD4sjp2YvgjjzH4rgls+PxT1k77iG3f\nz2H7gvlsnfNdvce6MzJpMWQYzQcOps2o48g77HAURSF9H4O31OKtpD9+Lsaq70l0HkDpH99EeNPr\nPcZv34bBfKLKWcTVU+psV66WssA3F5+VRs9I3QG5JTa8HTVopdoMayAgdto3zsfs6P6puSktXuy4\nN3bvnpdSe8lBywGdWyQSySGFnF8khxSpCHofYAeDwT3VWAyoOzk5UFBQ4AXeTbZLyQ8tEHAs9BUV\njtW3ZRPHQr9xm2Oh1xWngNFCUyUswKeAgYs28Xasca9kl1ZIjpUUgoqfiHoNafYEvPZjhLU7a/Ql\n/NmU/ultMu8dhfqvy/BcGCI64sJUhonh99Nh3Ml0GHcyAImKCkrXrSW8YzuxkmKsRALNMNB9afjy\n8gi0bI23SZNfnPfYNe8DAs9dg1pRRHTwWZRf/G9w1fs24LWfwCuexqQb5epjdbYTCL7wz8BUTIaH\njsPAVWfb5yMuwij8yRtDq+eSLAs+/lonO8OmX4/UBP2CBdsB6NlTCvrfOQd0bpFIJIcUcn6RHFKk\nIugjgFpQUKDuEentps6SRFBQUJADvA90AY4JBoMbG+ooK8tHTo4fRYFw2CQvL4A/mbVwy04XeXmO\nwBxmwfwiWJsWYHiy7lBf+rCGlazPXkEX2lef1P4LFL5Amv1v0rKuAH2PnOp5R8L9n8DtxxH433UE\nyjfBBRNA38fsKnkBmrerO8i0wcPzGkjPuGMDPPsn+PINR8D/37/xjLsaT0MPCOHnoPQ2UJuj53xE\nnt60zr4X8APrWE17OjAkfSAKtZ+71IKniiBLhZtaekjX6p4bP/kWdhTBlWdRZ2GG3a/dsmwWLNhG\n5845dO7cpP5rkxzsHLC5BZz5RddTqGr2K9Dg9/t33P+h2rfkN+eAapffam6BQ4QTHnoAACAASURB\nVPc79lt/v3/r/vckFUFf+WFuRs2lq+bsvZQFQEFBQVtgBpAGDAkGg0tSGUxxcRiA9HQ3u3aFqtxQ\nmuelEVwDhYXOd/BwUwN8vF8Yo3vYcc3JpgWeHA/zmcdhu/rX8P12M4F0LiRReA4l2nRQ9rjszM7k\nPfot1m3Ho735EIn5n1J++USsFl1SGfYvpr58yUrZTnwf/gvvJxNREjESHftSfumTzth2VtR7Xq/9\nJH77VmyyKFHexirOZs+c85V979IKeT9rKi7h5qjiUey06z73vRUuiiw3t/lixIriFNYzhide8gAG\n44aGKCzcO/PXntf+00/bKSuLMXZsx181h3Rj+yIeohywuQWq55cDzW+dD/237P9Q7lvym3PAtctv\nwW/9OT8U+/4t+69vbkklbeVCoAIYVrkj+aFvC3y5Z+OCgoI84HOcYJKB+/KDW0lmpofi4mjV3x1b\n22wpVKlIfmcGGRYagi/i1cJcR6dbtBdRNcJyz+Ia54sppxBVzsDge9Lsv9beacvOFE/4iuhRZ2Os\n+YGs2wbif+Em1KIt+zr8/YK2/if8z11Hzg3d8H30L+z0PMqumEjJXz9p+EFDxPFbN+C3b8WiKSXa\nNCyle53Nw0qIDzPexlQSHF1+Ahl23ekiV5oqT0VctFBtrvDF62wHsGWHwkdf6XRtb9Gne2ppfL/8\ncgMARx3VOqX2koOaAz63SCSSQwY5v0gOKRq00AeDwXhBQcF/gEcKCgp2AYXAk8DnwWBwbjI1VDZQ\nFAwGE8B/kn+PBGIFBQWVJbpEXcUc9iQ728PSpTsRQqAoCl3b23w5H5atUenbwyZdhQGGxTcJne2W\nQn4yN/3hkb4s9M7ne9+3dIn2qLbSKwoV6j/RrZ/wiSex7VZE1P/bq1/hTaf8iqeI9T2ZtFdvwzvz\nWTyzXiQ24HSiw88n0WkAqKmm7t93tK0rcf3wEe7Zb2Os+xEAK68t4dFXEx12QYO+8gCqWE26dRkG\n8zDpSan2CrbSps72UaK8n/EWpVoJfUOD6q0Kawm4odxDHIX7/FG8DXj7THzThWkpXHF6nFRDBz77\nbB0AQ4dKQf9757eYWyQSyaGBnF8khxopJjznjmTbyYCBE/V9TfK1QcBnwIiCgoK5wCmAAszd7XgF\nMKGeKMvdyM72EotZVFTECQTcdO/gxLQsXqXRt4dj6T3BZfJNQuf9uM6lXieANs32c1ikNwt8c1ng\nm0vf8KCqcwolnVLtDbKsUfjtvwA2EfWavfoGiPceTfywY/B88xre9/+B5+tX8Hz9ClZWc+JHjCbe\ncySJTv0RGb/Ax9u20XasQV89HzbMI3veDLQda52xqhqxw48nOvIi4r2OBTUF3zxh4RX/Jc2egEKY\nqHIm5eq/QEmr85CoEuUdXmKHsZWu0Z70Dw+pt4t/hF18b2qc5E5wgrv+FJTbdipMes+gWZ7NaaNS\nS1dZVBThu+82ccQR+TRpUve4Jb8rDujcIpFIDink/CI5ZEhJ0CejxP+U3PZ8bRawu+JM9SGhTirF\nXGFhmEDATa8CR8QvWKZx0cmOeD/RY3JnSPByxOAST6LKAtw3PIjlnsXM831Lh1gB2VZO1XltpR0l\n2odkWGPx27ehibVUqPeDUst3VTeIDjuP6JA/YCz7Cs83r+H64UO8nz2H97PnnPOl52G26oHVpC12\ndgvsjCYIXzrC5XVEuLAhEUOJVKCW70It3Y66axPajrXoW1agxKv97hRvOrE+44gdMZr4EaMRgZy9\nx1QbQmCIT/Hbd6KzBJtsytUniKmn13tYqVrChxlvs4tCukR7MLJ8dJ1BsADTYxr/CLtopdo87I/W\n2a6Sh/7nIhJTmHBBDHeKU+HHH6/CsgRjxnRK7QDJQc+BnlskEsmhg5xfJIcSjfID3KyZU05069YK\n2rfPonMbm3S/YM6i6u9evioY7TL5IG4wJ6ExwOVY8d3Cw/DyY/k4412mB97jjJLzawTIWkoBJdqn\nZFjj8Ypn0K25lGsTgdoKxwGqSqL7MBLdh4Floq+ej2vpF+hrf0RfvxDXks9hHz3thOHBatoRs3V3\nzDa98Pc/hl0ZHesvDLXXSQSG+Ayf/QguvkGgEFHOJaTeg1DqL8i0wVjH9PT3iKoRBjCIPuVD6hXz\nCxMqV5R58QDPpUfIbMDraP5SlZc/MujazmL86PqLTu3O668vRVHg1FMPTDCyRCKRSCQSye+BRiro\nnSjeTZucCGJNg4GHWUz/VmfDVoXWzRyf+cu9CT6IGzwecTHAFak6vmO8C90ivVjqXcgngQ84vvyk\nGoLVVtpQrH2K3/4LXjGJLOsoKL0KRdyIUOrJfa7pmJ37Y3buX70vWoG2cyNq0SbUsp0o0QqUWBhs\ny7HS6wa2Nx2RloWdkYed0wo7I7+GL74/LwApRksrogy3eB2v/Sw6ywCIKccRUu/EUnrWe6yJyey0\nL1ngm4sqVEaUH8+IwBAKqbvvRQmVM0p9RIDn0qMcbtQf3BqJwfUPeBBC4YEbYxgpfsKWL9/J7Nmb\nGTKkNS1b1l8kSyKRSCQSiURSTaMU9K1aOYJu48bSqn0j+plM/1bnk9k6l5ziWH0HuCwGGiafxnVm\nx6ut9ADDKkZRohWxyrOcz4Wb4RXHoe6e1EdJo0L7N3F7LGn2X9DDT5DD/4go5xFVL8NSOqc2WI8f\nq2VXrJZdf/mF14WowCU+wS3exS2moRBBoBNVziCiXoOp1F3RtZINxjpm+WdQoheRaWZzbPk48s1m\nUE92te/iGheUeSkV8HggytgG/OYB7vi3mxXrNS49Nc7AXqkVkgJ45pkFAFx8ca+Uj5FIJBKJRCKR\npJa28oDTtm0GAOvWVQv64wY7YvLDWTWfQe5Mi6Eg+HOFm7io3q+jM6bsNHITTVjiXci09HdJsLf7\nR1w9jmJtDqT/G5ssfOIpsq0+ZJrH4LEnoop1+/8CG0KY6GIBXvsJMqyTybXakWFfgEdMwaIFIfVO\ndmnLKNeea1DM79IK+SD9Ld7LfI1SrZjDwkcyvvhCR8zXw2tRnTNKvVQIeCIQ5SxPw2L+xakGk993\n0b2jxV+vjKV8uVu2lPPaa0to1y6T447rkPJxEolEIpFIJJJGaqFv3ToDw1BZtaqoal+LJoK+PSy+\n+VFj8w6FFk0c9X6kYXO+J8GkqIuHQi7u8FfnRvcID6eWnsOH6e+w2r2CoqwXOK7sRPKs/JodKi5I\nu4ai0Dm4xId4xfMY4gsC9lzgz1i0JaEMJqH0xVQOw6Rrvdlj9gVFlEB8KR57PppYjC4WYvAjCtUB\nsyY9iSmjiaknYtGTVHJAbtO38INvDqvdQQCax1sxNHQ0eebelWJ3p8KG20MeXo0aZCiC59IjDHU1\nbGn/6CudWx5zk51h88KECF53g4dU8fDD35FI2NxwQz90vVE+Y0okEolEIpE0WhqloNd1lY4ds1m+\nfBe2LVBVR8CePTrB94s9vDjV4NZLq4X7nWkxZsV1Ho+46WXYjNvNNcQtPJxUeiZfp33OT775vJE1\nicMj/egbHohL7KE6FYO4cjJxTkYVW3GJj3GJGRjiWzziZTzi5aqmFi2waYGltESQi002QklH4AVc\nCFRAoJBAIYJCBYooQ6EIlR2oYhsaG1Ephl3Vni8CFYuuJJR+JJQBJJRh2ErzlO5bnDir3ctZ4l3I\nVsMphNck0ZR+4aNoG+9Qb+ArwOdxjT+Xe1hvqxymWzydHqG9Juo9BmDGtxqX3+3B7YKX7o/QplnD\nx1Qyb94WXnllMV265HDGGd1SPk4ikUgkEolE4tAoBT1A9+55LFu2kzVriunYMRuAU49JcN/TLp6b\n4uLq8XHSnWQ4BFR4PiPC2BIf/1fmIZARYfhuVmUNnWGhUbRJtOdz/3R+8M1mqWchvcP96RE9HLfY\nu2CTrTQjqlxMlItBWGgswxA/oIlF6CxDE+vQmYchdktZm7qOReDDoiUJpS9uXzfKI+0wlW6Y9Ngn\n679Jgo2udax0L2eNewUJJQEC2sTac0SkHy0TbRoU8usshXsq3HwQN1ARXOuNcUtaHFcKxaBe/Ujn\npkc8uA148b5IyhVhAeJxi4svfg8h4L77RkjrvEQikUgkEsnPoNEK+iOOyOett5Yxb97WKkHv88BV\n4xNMeMrNv19xcfvl1Vb67rrN/9IjnF/q5dxSL48Hopy6h99323gHzi26jB99c1ngncu3/i+Ym/YN\nnWJd6E9f0sitGThbiaJh0QNL6VFzvzBRKURhJ6oocqzwRIAYCnbSSq8j8CJIQyjp2OQgyEUQqHKd\nyUsPEI2lluVGICjSdrLJWM8G11o2udZjKs51plsZHBHtQZdoTzLszAbPtdZSuG0LvFCSholCX93i\nwUCUHnrDojyegL896ea5KS6y0gUvPxDeJzEPcM89X7Jo0Q7OO68nQ4bIyrASiUQikUgkP4dGK+j7\n928BwOzZmxg/vnvV/ktPjfP8FIP/vuHilKNNunWoFpEjXBYvZUS4qMzLleVefjDj3J4Ww7ubpdnA\noG94MIdFjmSx50cWexewzLOIZSzCm+OjTbw9reJtaZ5oScDOqN+6rejYNAOaYaVgzd5XBIKwGmKn\ntoMdxja261vZamwiqlan6Mwyc2gX70iHWAH5ZrMGrfFCwLcJjeejBh/EdGyggya4xRflJLeZins+\ny9aoXPeAh4VBjS7tLJ6/N0KHVvuwPAG8+eZSnn56Ad265XH33cP26ViJRCKRSCQSSTWNVtB3755H\nTo6XTz9dV8OP3ueBB2+Mcu6tPi69y8OMp8L4fdXHDXNZfJwZ5uIyD09HXEyP6fzdH+UYl1VDrLqF\nhyMjA+gd6c8WYyMbMleylKUs9yxmuWex05eVRp7ZlFwrjywzh0wri3Q7E5+d1qBwThUbmzLK2K5v\no1wtpVQroUQrpkTbRZG+q4Z4B/BbAQqi3WmRaE3reFsCdkZK/ayzFN6JGrwRM1hjOasQ3TWLO5pq\nDI+F0FK4nIowPPqii4lvuDAthfHHJ7j/hihp3n275k8+WcP1188gEHDxzjtn4vfLqtoSiUQikUgk\nP5dGK+g1TeXYY9vz6qtLmDNnMwMHtqx67dhBFlecEeepN11cfKeXSffVzKpSoNvMyArzcMjNUxGD\nP5T56KtbXOOLc6zLrCFeFRRaJFpzON0ZsGskO7UdbHKtZ6uxme36Vta7V7Oe1TXGpgoVr52Gz/bh\nFh5cwo1LuNCFgSZUFNQqwS+wsRQLE5OEkiChxImrMaJKlIgaJqokBXvWHjdAQIaVRfNES3LMJjQx\nm9LEbIrfridx/G5YAhaaKp/EdabHdRabTpVdD4Iz3AnO8yTob1g0yQhQWFj/uSIxJyXlv152sbNY\npXVTm/tviDBqYOp55iv54IOVXHXVRxiGyssvn0JBQS6FKRbVkkgkEolEIpHsTaMV9ACnn96VV19d\nwssvL64h6AHuvDLG2k0qM77TOf82L8/eFSFjN62bpsBd/hhneRLcH3IxLW5wQZmXlqrNmZ4E49wm\n3TS7htVeQSHPyicvks8RSZ0dUcLs0gsp1nZRqpVQrpVSoZYTVkOUaMUk1Dj7iiIU3MKD1/aRbeeQ\n7cpCD7sJ2BmkW5lkWJlkWFno+/D2xAUsMVXmJTS+S2h8k9ApFs7FGQiOdpmc6E4w1mUSSDH2tLBY\n4eUPDJ5+22BnsUqaV3DzhTGuOTuOb+844nqxbcGTT85jwoSv8HoNJk06kQEDWuzbSSQSiUQikUgk\ne9GoBf3gwa1o3z6Td98Nctttg2nevFqxGzo8d0+ES//mZfq3OsdcnsYzf4tweJeagZlddZsXM6Is\nM+M8GzF4O2rwaNjNo2E3rVSb4S6TwYbF6AR4xN4p3r3CR8tEG1om2tQ6RguLuBInocQwFRMLC1ux\nEQiU5H+a0NCEjoGBy3ahY9Rw2cnLC1AYSt1KXWJD0NJYZqosMVUWmRqLTZX4budsqdqMcScY4bIY\nYZj4UxTxCRNmzdN49SODad/oJEyFQJrghnNjXHFGgpzMffOVB9i+PcT110/ns8/WkZ+fxiuvnELP\nnk32+TwSiUQikUgkkr1p1IJeVRWuv74f118/g3vu+ZKJE8fUeN3tgufvjfDQ8y4ee8nN8Vf5uPCk\nBDeeFyc/p6bw7Krb/CMQ425/jE9iOtPiOp/FdSZHXUyOAuWQq6TRTbfpott00GzaaTatNZvmqsBT\nh4+5hoZXePGKfXQkrwNbQLFQ2G4rbLMVtlgqm2yF9ZbKektlnaWwU9RU5waCbrrNEbpFH8Oin2HR\nRhUpBbgClIdg1nyd6d/ofPKdRlGpc/4u7SwuODHBmcclCPyMOlqJhMWLLy7iwQe/oaQkxogRbXj8\n8ePJz98/RbkkEolEIpFIJI1c0AOceWY3Jk36iXfeCXL88R05+eSCGq/rOtx2WZyjelvc8k8P/5vi\n4pUPDcaPTnD+iQl6dKxpsfcrcIrH5BSPWeVnPjuh8ZPqYV4IvkzofJnYexxZiqCJapOrCrIUQYYq\nCCiQpgi8CrgRuBTQcDZVEQgBNgomkBAQA2JCISIgJBQqhEKZgFAICmM+dgmFIlvBrCPgVkPQShX0\nMkw6aTbddIvumk1n3ca9DzG6FWGYv1RjziKN2T/B7IV+zGSanqa5NpeeGueMYxMc3sVO+aFgdxIJ\ni6lTV/Dww9+xZk0JgYCL++8fwUUXHV4V3CyRSCQSiUQi2T80ekGvaSpPPjmao4+ezHXXTSM728vQ\noXvnLB96pMWs50O89rETvPnCe87WpZ3FCUNMjhlgckQXG03b7dwK9DZsehs2eXkeCgtDlNuwwlJZ\nk9w2WSpbbMdivt1WCf4a+SnjkKGoZCmCNrpNrmqTrwqaqYJmmk0LVdA6+a++j93vKlFYvlZlyWqV\nn1Zo/LRCJbhORST961UVenW2Gdnf5NiBJr0KbNSfWd9p+/YKXn11CS+++BObNpWj6yoXXdSLP/5x\nAE2aSKu8RCKRSCQSya9Boxf0AB06ZPG//43jggumcu65U3jooWM466xuKHuYj10GnH9ignNOSDDj\nO53Xp+l8Nlfn0RfdPPqim0Ca4MhuFkd0sejR0aZre4s2zQXGbnchoMKRqs2RRu1FksykS0yZDRVJ\nK3tUQBSFuAALZxOAktx0wFDAhcCtgDdp2U9XBAFF0KFJgKKdFT/r3lgW7ChS2LhdYdM2lQ1bVdZt\nUVizSWXVRpWdxTXVuc8rGNjLondXi349LcaN9JGIhX9W3+D4x8+YsZoPP1zFrFnrsSyBz2dwySWH\nc8UVvWnbtuECVxKJRCKRSCSSn89BIegBRo5sx6RJJ3LppR9y3XXT+fDDlfztb0Orqsjujq7DCUNM\nThhiVvmHfz5H45sfdb743tmq2mqC1s0EndpCkyw3zfMETXMFeVk2OZmCrHRBZkCQnuacV1cgTxHk\nqeDI9l9OZRpN24ZQBCrCCmUhhbIKKK1QKClXKCpV2FWisLNYobBYYUeRyradCtuLFKxaVg1UVdCq\nqaB3F5OCdhbdO9j06GjToVXNVYrMdBpMW7k7paVR5s/fxrffbmTWrA0sXLi96rUjjshn/PgenH56\nFwIBdz1nkUgkEolEIpHsLw4aQQ+OqP/ii/O47rrpTJ++hhkz1jByZFvOOacHRx/dDp/P2OuYQBqM\nHWoydqgJxCgqhYUrNJauVlm+VmPVBpX1WxSmfw1Qf4Ejj0vg9wl8HvC4BW6XsyrgMhwrv6aBpjqZ\nchQcuS+EI9QtG0wTEhYkEgqxBMQTEI0pROMQjvgJR1P3pzF058Gjd1eb5nk2LfMFLZvatGlm06aZ\noHUzG/cvqNckhKCwMMzy5btYurSQRYt2sHDhdlauLEIkn2MMQ2XIkFaMGtWe0aM70qZNakWuJBKJ\nRCKRSCT7j4NK0AO0bp3BlCln8NFHq3jiiXnMnLmOmTPX4fXqDBrUkoEDW9K7d1N69mxCRsbeydKz\nM2BEX4sRfS2gOvrV4wvw45IQW3cqbN+pUFissqtUobhUoSwEZRUK5SGFcBRCEcdaHo0rxBOQMFMX\n4qrqiH+X4TwUeFyQlwXuJjZej8DvA79XEPALMvyCDD9kBAQ5mYLsdEFupqBJjk2Gf+8Um/tKOJxg\n5cpdLFq0jc2by1m/vpT160tZt66EVauKKCmJ1Wjv97sYNKglffs2Z8CAFvTr10JWeZVIJBKJRCL5\njTnoBD2AoiiMGdOJMWM6sWRJIVOmLOfjj1dXiftKmjXz06FDFu3aZdKqVTrNmwdo1sxPXp6PnBwf\nWVkedN3xMQ+kQZd2Nl3a7ft4hHDyt1u2Y40XwtkqBbemgaqArlHD3aWSvLwAhYU/349dCEE4bFJR\nEaOsLE5ZWYzS0iglJTGKiyMUFUUpKoqwc2eYwkJn2749RFlZrNbzaZpC27aZDBjQkq5dc+nSJYce\nPZrQoUOWzFIjkUgkEolE0sg4KAX97nTvnkf37nnccccQtm2r4Pvvt7BgwTaWLdvJ8uW7+PrrjXz9\n9cY6j/f7XWRmusnK8uLx6KSlGfh8zub16ng8Om63hsvlbIahYRgquq6iaSqapqBpCqqqoCiVW/X5\nHXHv+KjYtsC2BZYlsCwby7IxT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Pf4rHH3+E73znJs455zw8Hg8/+MHt/OhH3+fxxx/h3nvvpqWllY985OO8730fetnyHOzz\nbN+bzWZuvvn7/OQnt/Loo3/i4YcfpLm5mQ996KN84AMfmUmXOdT9DAYDN93033z/+9/lscf+RD6f\n59xzz+dd73ofX/nKFw5afiFEo0ONLS666BJuuum/uf322/jJT27DZDKxcuUqvvCFL7N69ZqZ/b7+\n9W/xk5/cyoYN67nvvntwuz288Y2X8LGPfXIm//3MM8/i4ovfzFNPrWfTpue46KJL6Ojo3Fs3/YD7\n7/89+XyO9vYOPvOZv+Yd73jXnOXaV6f98Iff45FH/kgmk6a9vYNPf/pzXHfde1/dzTkJKQcbkHQy\nr3omTk6yeuLRIXWJONlIXXLkST0iTkZz1SWSAy+EEEIIIcQ8IgG8EEIIIYQQ84gE8EIIIYQQQswj\nEsALIYQQQggxj0gAL4QQQgghxDwiAbwQQgghhBDziATwQgghhBBCzCMSwAshhBBCCDGPSAAvhBBC\nCCHEPCIBvBBCCCGEEPOIBPBCCCGEEELMIxLACyGEEEIIMY9IAC+EEEIIIcQ8IgG8EEIIIYQQ84gE\n8EIIIYQQQswjEsALIYQQQggxj0gAL4QQQgghxDwiAbwQQgghhBDziATwQgghhBBCzCMSwAshhBBC\nCDGPSAAvhBBCCCHEPCIBvBBCCCGEEPOIBPBCCCGEEELMIxLACyGEEEIIMY9IAC+EEEIIIcQ8IgG8\nEEIIIYQQ84gE8EIIIYQQQswjEsALIYQQQggxj0gAL4QQQgghxDwiAbwQQgghhBDziATwQgghhBBC\nzCMSwAshhBBCCDGPSAAvhBBCCCHEPCIBvBBCCCGEEPOIBPBCCCGEEELMIxLACyGEEEIIMY9IAC+E\nEEIIIcQ8IgG8EEIIIYQQ84gE8EIIIYQQQswjEsALIYQQQggxj0gAL4QQQgghxDwiAbwQQgghhBDz\niATwQgghhBBCzCMSwAshhBBCCDGPSAAvhBBCCCHEPCIB/KugqiqlUul4F0MIIYQQQpxETMe7APNR\nPp/n2bv+h1x/P8l4FIPPhyvYTFNrG7b2Dpad/XpsNtvxLqYQQgghhDgBSQB/mDKZDE9+/7uYJsfx\nmo2sWNiO0WgknpwiPjaCZ8DPM48/gvXUFay98moJ5IUQJ41Njz9KOZfjzEsvw2SSx4sQQhwtiq7r\nc26MRNJzbzzJJBMJhp99mpcefQQlEqYz6MPvdhFwOmf2SeVzxJJ5Wv1BNF1j0mhg0ZXXsmjFiuNY\ncnE4mprcyvEuw4lI6pIT32N3/AzrQD8mo5F4KMRbPnHD8S7ScSV1yZEn9ciJYaS/j2wyzvIzzz7e\nRZkX5qpLpInkZaRTKXb97je4dg+QS6XoUousXdkDQDiVYmRqCqvdRrPbg8fuoKhWSKRT+Nwe2jUI\n/+ZXpC68mNUXXnR8L0QIIY6Sbc9uxDiwC6u52uOoDA9yz81f49LrP4vT5TrOpRNCvFaoqsrWO/8H\nS6mMr62D1vaO412keUsGsR7E6K5d7P7uf9IzNk7IaGIiFWdt18KZ7S0eD6ubm/ErBgbCYTRNo8nt\nJl8pUtFUVE0jl8kwdPed/OmXvziOVyKEEEeHpmkMr3sUp7mWLqiYiywshtn+8N3HsWRCiNeaLU89\nSZOuYyzmePJXP0NV1eNdpHlLAvg5jPbuJPfrX7JEqd6iZ4b2cMGSxbPu2+RycVowyNDUFPlSiUVN\nQXaOjZKKTnOGx8Mlre20vfA8v//GP5PP54/lZQghxFG1+cl1+AvFmc/RdJJTO9y0eh1Ed2ySmbqE\nEDOSfbtIpON0NllZkJlg40//S4L4V0gC+FlMj4+T/M2vaN87CCuWiuP12LFZrXMeYzaZWNPcTCQe\nZzKZpNVkYJHDgdlYPUd3IMTp6SyPffMrZDOZY3IdQghxtE29+AJmk3nms24q43PY8TqdeJQK/Zuf\nP46lE0K8VmiaRqSvl/agFY/LgdtmpSUdYesjfzjeRZuXJIA/gKqq9P3sx1hzcSLlacKFKbZNDrPQ\n73/ZY3Vdw2tR2Dbeh6/DzJ7yKJNEmChPM5GZxmU2ckqxwrO33iRvnEKIeW9koB9LPFb3ncNSG2do\ntxgoju051sUSQrwGjQ8PYlczhLxuAIJeN9l8gfKuF6Wn7hWQAP4A6376Q9qYomdNE0uXh7AGFVrO\naiZhy5LKz91yPpWKM6okKLVo/NXVp6M6FU7pacfts7J4WYjFq0IUvEV0SjhGxtj8u18dw6sSQogj\nb/DZjbgttdz3dC5Hs6/WU+m1WUkM9R+PogkhXmNeeOJxViwIznxWFAOaBp0W6H36seNYsvlJAvj9\nbH5+I81T21jS3QxALpfDZDNgtphZvLKFXKBMIptuOG4oOYWty0pTp4cmhwWzyczaRSEm8nnS++WG\ntrX66V4ZIhS0MPLIg4zu3H7Mrk0IIY4kTdPIDNa3rmfVHG3e2qwzIZ+LdGRCWteEEJQm9uCyO+q+\n01EwGo0Uh/uOU6nmLwng91JVlZEHfsnaJa0z30XSWbImhbagB4DWRX5yoRLpfHZmn8FkmNblXjwe\nBxPxBEtbfUA1J35Jk5sUZWKJ1Mz+BoOB7iXNrOoO8Nht30bTtGN0hUIIceT0b92Cu1gfmJvMCgZD\n7bFiUAwErQbGBgeOdfGEEK8h8eg0lmSk4ft9axFZYhPEY7GG7WJuEsDv9eivfshF7bU3w1wuh81p\nIq9p2KyWme/bFwWZtmYpl8sMJyK0LfdhtVpRVQ23ScGg1G5pwO2g2WdjJJZs+L3uzmZOC5p46Gf/\ndXQvTAghjoLJrS9hP2Bgv9XUuM6Ow2YmNSp58EKczHY/t56Qo3FlervZSL6Qp8VhZfilZ45DyeYv\nCeCBbCaDfc9LeNy1rt9IKktLq5/Z2se7Tg2xLTGMd7Ed694H2Gg8zrIWX8O+S1oD5A0lEslUw7bT\nujqh7zleelTy4YUQ80tuZKTuc0WrYJ9loi6b2UgxOnGMSiWEeC2a2rkZr62xgvC4nGSyeRTFQCU8\nehxKNn9JAA889dsfc/aC0MzncrmMyWZgPJHG57I37J/PF2FhgLxamfnOiIbVbG7YF+C8Uxfw0lh4\n1m3ndHWReO4P7HrugVd5FUIIcWwM9fdjL9SvaZHKZ2nxNdaXIY+TyOhIw/dCiJPD1MQ45cgkfqej\nYZvVbKFYqTaVqpFxSSs+DCd9AK+qKqaRnTj269oJxxK0tvmI5goEPM6GY4anCyw4ZTEJxURJLZMr\nlfBZjXP+ht1qIeAxEU40ptL4XA6UnJHA2OMM7nj2yFyUEEIcRWNbX8Jlqe8OL6hFQq7G+tJusaJm\nJLdViJPV6Obn8NktGI1zxEl7M+/8epGJkcFjVq757qQP4Dc+dDdrQ6667yoGMBqNVFAa9p+MJHG1\nVQe6hrraGYmmCSdSdIW8B/2d169cxM7xOVrhl3SxbecEzoH/JTIx/AqvRAghjo3cSGM9tXfdu1nZ\n1AK5XO4olkgI8VpVHh/EoDTGU/voe2Mtr8PB9MDOY1Wsee+kD+CzOzcRCnhmPseTKTw+G+PRBJPx\nFNPJ9EyXTqVSIVE2Yt+bVqMoCrrPSzGfn/vNci9FMdAVcjAQiTZsM5tNWIsm7EqB5LN3UCgUjuAV\nCiHEkZNOp6lMN84mYTbN/YD2WoxExiW/VYiTTSadxhgPo8zSILqPrtfSZirRyWNRrBPCSR3AhyfG\naC7W0lomUileLIaJLSqSPaXEOW9pIrhaYcoaYygbYXP/GIGFbXXncAe8ZIuHtqrqkkVNxJJxVLUx\nx+u0BR0899IoqwJlBtbd8eouTAghjpINf/w9FbWxNd0yyww0+zjtVpITQ0ezWEKI16BtzzxB2Zwh\nUoxTnmMFeoVaEF+JzZ6pIBqd1AH88w/+ltMXt1JRK2xLT2FZq7PyQj8rVodQdIWWJjctQRenrQpx\nxrl+nKvtjGSmyOVqLeST0QRLTu1iOtE4y8w+ZbXMZDRBOJnDZoSn+neTzlYfgKPJBH3lCFPBDCWn\nyuODQ4Sy2xh4cd1Rv34hhDgcI0N9FMaepfOcINO5Wl57uaJis879OPHYzSTGx45FEYUQrxHJRIyJ\nwQc4960BznhbkFFzFH2WQaoOm5X83swDcy5FJjP3qvei5qQO4C2RMcpqhW16hNPeFMJgUmluqabT\nKHp9d89oOMUpa7o5+6I2cp40U4l4dYOuEWzyM11s/KOciqXYGcmyM2+i0NGNcdly3CtX4Ohuo99k\n4qHhEZLNOXpWuFnRHeTSc7sxuTToVoi8+FsSsemjfg+EEOJQjWx/DK/Lgt1hQwkoM61mqVyONm/j\nDBP7+Fwu0tPSNS7EyWTz43dw6mIj0USOoN/JmW9qZqTQOKDdZbeR3dswGrJaGBvYcayLOi+dtAH8\n8NAAwUqSPlOMsy5qxWQyUNI1rHsXbVL26w3WdY28Yp3Jc1+xugn/KUZGo9NY98b5rvZmwtFqOk4u\nX2B7OEWqqQP30m4Cna2YrdUpJn1Nfnw2K8OZBCvevpSuC1YzZDQxEIljMZtpttmoAKsucPL0ff95\nzO6HEEIcTCqdIj2xC4+3OtNMU7eXZC4NQFkr4ZllEvhELkVYTRDLJ9Hzc/dSCiFOLLu2PoMpvZsF\nrQ6SmRJupxWbzYStS2lIpbGaLZQq1Wm5LRYz+UnprTsUJ20Av+WJ+zE3GzjjgmagugiJYq5G46l0\nAZetNih1IpLE19Fcd3xHh4eWFWbi+WpLvN3lIK4qTCXS7FbNeE9Zht01e4tUOlfA021B2zt3UqCj\nBdeKJewqlNFViE9kCIXsnLY6x7qHJB9eCHH8DWx7Gpui4fFWZ+1yueyolupD12jUMRjqHyfhXAzL\nai+d5y3C9/pWphLjx7zMQojjY6r3CcwOjYDXiYYyUz+sOjPEeLFxSm19v6wHLT51zMo5n520AXx0\nbDOr/iI480c1HUvQ3FxNnxkPZ2kNuWf2TatGzLMs0pQvljjl8jb6o9U/trzVykDRhL+z/aC/nfKa\n6F7uYyqRnvlOMSg0LVmAraeLcq7Arr4Yy5YGUIpPMTS4+1VfrxBCvBqFxDAo9Y8Mg6f62WSun4Ur\nlkvhWh3AG6zWqQ6HneYuG/0D249NYYUQx01/70sEjCns9mr9sP8MkiaTAVPT3DPSAGjJxtn6RKOT\nMoDfsX0zi7o1nI5al29JZyZ9pqLqmM3VSY3jyRQWv2/W81QMOs1tHtxn2Hmpf4i8axGq5eDzwUeT\nKVpW+ykWK7S2uxgP17+JOn0eLO0L6B1IUS6XuOyiNrb/+dZXc7lCCPGqaJpGKTUxM1/zPvagmXwx\nh8lQGwOkairlZgO+YH1dGAjY2d37+LEorhDiOJru34jdZsLhrGYZGAz19UbzUjOpfP1KzvuPIlRy\naUql0tEu5rx3UgbwT226g7NWts581jUNfb8HkLLfX1Isq+HxeZjNvpQbm0shutRHwWjA0tRONJKY\n87enyNLa7sFkteB0WUjm8g37tC1oomXJYu7fMEmpVOT8tSpPPH7n4V6mEEIcEaMje9CycXyB+kXv\nQi1eMuU8JlOt0owUk7Sf2nbgKfC67Vj0aYaGB456eYUQx0c6nULJDBNPpVjUsTd2OiDSXLDAQ4ID\nZprZb9yh36gwMTx4VMt5IjjpAvgdvU8RcGUI+WpLfidSGfzB2meDXv1LqlQqlIyWWc+jaRpGs065\nXGYsYeSU81aSCOTRDSaS2cYZaQBSmRyuBdXlx/3NQWKRJK1tLsYn6wN+s8WCBQ1fyyK2TZYIeO2Y\nCuvIpNOznVYIIY6q6dGdGA1GnM7quJ50LsdIKkoim6NkqOC2VXssi2oJy0IXBqXx0RLye6iUSoTH\ntxzTsgshjp3+l56g1WcFs4rDtjd+OiBjxmAwYA7U1xGKUpsL3uWwkxrbcyyKO6+dVAG8qqrEi88T\nOCCdPVsq4d474DSXK2G3VPM5J6eTBNqbDzwNAOFIhlCzk8HRNO6FSwBYck4He8qTGH0tJGKNgzQm\ni2kWLPYD1VVcKxUFf9BFKt+48qrTYSHksZPQ/eyYKnPe6X7WP/q9V3ztQgjxSpWy4ZlBZlPpJFqP\nwpnv68Jzvp3R8jRN7mr9GdeytC6evc70eOzksnn0chh1jgVdhBDz28DQM0wWk9js1foikyvhsDeO\nIXS0GupiKJS/AAAgAElEQVRmo3FYLTNzwQNoKcmDfzknVQC/bdfj2L152jz1051p+42wGA+naQlW\nu4nzmgmTyTTruRLZAsWyitK0GGW/1qbuv2hlqpIhka5/QOmajn5AerynyUd8Ok7LLK3w/iYfxWwO\nPVvB272EgekSi0PDDA7uOuzrFkKIV6OYioCikMrmsK+0sGxtNUjv6PLjWOuo5r2rZYwtjVNJ7mNQ\nDBiAppCF3bt3HqOSCyGOlSeffJhF55hpvaSViqm6WGU8kcfttjXsu2iJh0i+llXgstvIFoozn8vJ\nxvniRb2TJoBXVZWysotUMk+zu/Y2WCwWwajOdN0Uixo2m4VSqYRmmfthpKEynbdhc7nrvrc5bDhW\nO4grVtLJWo7XRDxG5yn1Ebzd6SCXK+MPukjO0gpvpEJnq5/B/iiepcuw+uz0vvjzV3T9QgjxSuRy\nOZJTY/hDHpLOAkvWHDCl7mntbE5kiRXTtHTP3vq+j6Jr2GxWUknpHhfiRDMwsIFlK5opqyqVzmpd\nkM6VcdkbU5EddgsVR2Xms9VsoVyufSYj60a8nJMmgN+5awMdi82kxxK0BOwMRzI8FzbxvwMGdpVX\n8viAn2f3mBieKFAulwnHsvhaQnOeLxzL4l64eNZtLV0Bcq1GItO1Aao5s4pzlrdQxWhELZdpaXU0\nzEgTavGRT6dR0yoGoxH7oiV4neNsfunpV3gXhBDi8IwO92E3G0gW8iw9v7FOtDlcRP1uUg5tZrG7\nuRj3zhCgFiNHpaxCiONjZGQ3vqbqzDHFko5l8WKmUylQDA1rROxj9tZ/r++XDWEqZMjlckevwCeA\nkyaAz2u95PN5HIrGnycMjATORe88HVtwAZ7mxThbToHQ6STsZ/L0cIDBqdKcD6NEIkPF7a9LnTnQ\nkgva2aOVyKaz6JpOxTn7fsHWEJFwjEDIQzJbPyON1WqhUiyyqC3Inl0RzDYr7aevYuufpRVeCHFs\npKdHMJtMaM063kBjRaZiRGt2kGpyzXJ0PYNeQdM07OYi8bh0kQtxoujd/jwLllfrAFUzYPe4iSqm\n/SeXaWAJKlQq+7W677ez12QgPDp0dAp7gjgpAviB3Vto6lSZjmWYLPlh8esx2/a2hmv1f14mxYDR\n102qspIdWzOUio1zke7oj9Pe033Q3zSZTLRcuJC+4SgTsRgdS/emz+g6mVSG8HiMidEo4ckE0WiG\nUrFIqMVOJFLfbWS3mdDRKKXKADh9Xhaf5uL+P/ziFd4NIYQ4dIVMmGguR/c5TbNuL+tGlCVeCm0t\nL3suh81EPpcnGHIzPCyLOglxopgI76Srx0+lUkE1VNOUszYHBmXuRZsWdruIZGt58PtHY06bjdS4\nBPAHc1IE8Mn8Vqx2EzuiVtxttbSXYi6PyVTLc89kctjtVtKxCIHmhVjcp7Nzp5FUstaNk05lSSgu\nPL6Xb21q7QoQ9sFUPkUmnWN3f4YdvSoTyXaKltVoztPRHKdTcZ7GCzsVIkk7L+6YIhKOz7xYBJv9\npKbjtAV9jOyptlidsnY5w+PryeayR+oWCSHErMIje/Asc+Hx2hu2VSoqpQqkjD6UBS1MJzKznKEm\nFHARi0QxGAyUijLLhBAngkKhgNGWxWAwEI+mcDdV898rAR/ZUuP4vn08Lhsla23CD12rn4JbS8WP\nToFPECd8AJ9JpzE6I2wdVUkbWgju9xDKJmK4/LWczvh0Eq/PA+XKTPqM07ecoSE/0Uj1wTQVL+MI\nBVDmyOmqo+u0nNbEk7tGKVlWYg2uwNOyBIfLV5ee4w22YLI4cLQux7N4DcO5hWzrKzM8HKeiqhip\n4HbbycVq/xAuunQpt99z86u9PUIIMSdN04hHwnScNvtq1MlEgVjZiq31FOx+J2PF2dfA2KepyUs8\nVu1lrJTnXvBOCDF/7OrdSvvSamNooaRjtlb/t7OpiVipfNBjTe6DxFKZxum4Rc0JH8APDG9Es8Kk\nsQtzScftqa2qqmv1g66KxQpmswW9Un8Oh3ch4+EWhnaHKTuaUExzdwntk02mGN88jjXfjKlrOanM\nwQdjKChUVJWWjhYS6TzOtuWUPWvZsUehUNSIT0cJuV1MjVcffi0dQXz+KBt3bDyMuyGEEIcuMj2F\naivR0R2YdXsiWUR1tWH3hUimC6QdjoOez2m3US5U0xKNZCkU5m6dE0LMD30DL3DKmmpjaEWvhZWV\nSgXVNvdsfgDG/Ra6NxsNlNVawK9lJYA/mBM+gC9oexgqNAMGnBZLfcv5AfnvCpCOR3G7G3M9He52\nBve4KatGFOPBW5mio2FyQxpB31KiqQKnX/pWXtw5eNBjvE3tJCNhAGwuY7VLymDE1bIMgmcx0J/E\naFSITtbSZs5Y3cKm4UeZiEwc9NxCCPFKDPVvoXW5Z87tkWge3bcQk8VMvgR5lwO18nKLNO1NDwzY\nGR7uP4KlFUIcDyU9gsNhQatoqEptmu5MIo/Bf/B0Y0/IRKFUIpXNEc2XicRqPXN6Ni2Lvh3ECR3A\nT02NEy7HMbWcigENi177QygXSxiM9Ys0KZqCWihgsTXmepZLJRymILleA6XM3Hmekd3jGDN+PN42\nAPKYMRgM2NvaGRmbnPM4o9GIXq6Wr31hG2Ph6do2kxmzZyEbNhd5Ydc0616cYlt/HKfbSbMly1Ph\nJ+WPXAhxxG3b/ixnXDr7dLkAkZQZx940RFWz4Fnawfj0wfPgjXo1gLfZrGRS0vggxHynWKqZAfFY\nLf8dIJ3MY2lrplhqnAxkn9Z2BxvCMV5oWk769ZfxnLWD3li1odJNhdj09JzHnuxO6AB+aGwjanAp\nRqORik5dAJ9OxPD461vaFXRQZ5/0KDk9hd/XTkk14cwFSE41Dq4I949iLbdit9cWbCpSfUlYeMpq\ndo0dfO5jpzdAKhZFMRgwWfSZoHxwcorhUCvaGSvpuuYj9MWdFHrWsCnjA4OBdH6M9X3rD+2mCCHE\nIdLdWTye2dNidF0jUam1zpd0Ew6XnRiHNhc8QKWSPsieQojXul19vXQsroaS+aI2k/8OUCiq+Be2\nEzlgiux9dF1nZ0knt/o0HKEmjEYjVl+QqcVn8FAkykjAzmDv5mNyHfPRCR3A90UGsTYvI5dJoygG\nXJZa7rpeLmM01bp6NE2jUi5gMsyRr1WqoCgG8uUyTYFFlHYrpCK1ID6yZwJ7pQ2rrTZPcjaTweSt\nDf4KdC+ht394zvLanG7K2eqbZ0dXGyNjk/SNT5I7pZuWlUsxGA0oioHQglPYPaBh8HsJvflN9O0Y\nY8Iywq7RvsO+R0IIMZtcLgeOuVvTw5EMmmfhzOeSXl1tMWdvXLBuf8p+g4xkIKsQ89uWvmc4dU07\nABXtwIWZDJhMZnIHZDvs05vIU1x+NmZP7aVf0XUiapnBd34A96plDE1Kmt1cTtgAfmJimHLQi8Fg\nIJ9JoeZV/H7vfnvUt7Qn4ymMahmPrzH/PRmN4LIHqx/23jGPo43ibsjEU8QnIpgKAay2+lyvqWga\nf2utO6mlo5vRdPag6S5mi5ViPo/JbCKcjKIuX4IrWH0J8DS1kIxN0bKwnXKqQjzbwtREkjVvO4/t\nfQmem36W0kG6qoQQ4lA9s30DzR1zD0qN5e0Y7PvVeTYv+VyB3MsMWrMaQS1XB6oZlYIMZBViHisa\nk5hMJiqVChXj7P/2i+bG76czOabaT8FksWBy7te4ik60rQnP8pVsUR24jHnGJ8aOWvnnsxM2gH/q\npXX4lq0Fql29Sr6AdW/LkK7pKAeMQ00mszht1lmnh1TzeWx7g3PFXPtD89jbib2YID1YxOFonGat\noJsblhBuXdbD5t7BOcvtCbaQiUZIJpKUu3tIp2qDVi02K5VyEYPBgNlYwebyU1IWUyqAt9XDsGLn\ngc0PHPzGCCHEIdgysoUl3bNPH6lWVOIlBxVjrRfT4Q2QSBUwtzcRO8h88F6vnfjegWp+r5Xx8bl7\nJYUQr12apsG+/PdoClcoVLddMVTjpbzFUve9ruv04cIWagXAGjCg7h0DGE+nMa45FYDp7tOoGBUG\n9/Qe1euYr07YAH5KK2LZm4ul6DoWrdbqnc0ksbnqH0yVso6Rxm4etVzGoNZuk8FYa7mvqCqGghFL\n3ko23TjdUUlpzAX1B9uJaxqlwtwt5QoKOyIlWlevIJerb623upxk0ynautqJ9O/B6nBhcK/AqINi\nsbFVy7Olf+uc5xZCiJeTSCXIawmCQees2ycmc1TsIex+/8x3BpOJQhl8bX7Cubl7GZtDPqJT1UXp\nHE47ycT4kS28EOKY6B0awNdcfYnff/73Ayk+H9lcLQ9+TyKLvnTVzOemRV7S6epLfdxmwt5UzYSw\nt7azs2Ijn4kdrUuY107IAH54ZASaqi3mFVVFMRox75d3WchkcLjqp0YrZHNYzY0Pq1R0Co+nOqOM\nqqrs1+BEbHqEgH8Bflc7pXCSbKqWz6mWVTRL4x+zpuu0di9n/fObiY5PMD06yvTYOPFImGwmRaWi\nklYt5Pem+zhDAeLh2oqF7kCQXCqO2WpFqVS7ns0WC61LzyMxOIBz1Rncs30DxWLxcG+bEEIAsHNs\nK+4mB1aredbt8ZKDbLqErS4tsToTjcFgIHdAi9v+vF472UztYV5RZa5nIeajgfQ0IW+1UVPVGsNJ\nRalucwQDxIrVRsuyqjLqasNkrtURLp+LkqEazxSCfrRKLUViurULtZQmHA4fteuYr07IAH7dixtY\nsLLaBZNOxnH5A5j3m4FG0Rpnmilm0jg9/obv9VJtVdZUJo3HUw3yU4koTqsHo6G6ze9upxzJkIpV\ng+3JcISC0UoqnSUenSI6Okx0zxCx/kGMcQ2t5MQw4SCU7ySYbcUV8cGARnzTBDt3JSlFs0T6hzGa\nTSQi9Q84k81MqVikuSNEdHgUALPZzMLu1Yw8+jS+t76JHz7461d7G4UQrwHDwxP09g5VB5UeI3sS\nfTQFZx+MmssVyFlaKFcMmEz1vZYlvfq5YJk98AcwGU0o+n4z0ajZOfcVQhwZqqqyZcsAY2OT1dSX\nI2AkMUFbyEy5pKKZ6qffVlUVk7kaYhqMRvJ7Wz8H0iWsi5c1nMvoMFDMF2DZYvLZWp3gWXMGI9kK\nQ8MySceBTsgAPmnMzQTd5VIRUHBY5l7ACcBY0Rry34v5PCZqD6JkLovL7UaraJRySRz2+tYnn6sV\nJVFmYmgP23oniI3H6Xumj8mtaQoRK4aiG7+zHY8rxKmnX8Dm0d0AKIoBs9mK0+EjW7LSueJCFvnW\nokwqmIZNZIaSTLy0i+RUBE3T8Ta3koqFcXrcaNnaNGyBzk78DhcTW0aJr+zikWc2vNpbKYQ4jrZt\n283WrXH27CnzyCN9PPbYVjZvHmBqKoquzz7l7asVT8RIm3J4nbM/Hsanyzib2mdtcds3E03+5VZf\npBZAaKpMJSnE0ZTN5li3bhtjYzovvpjgwQc3s3HjTnbtGiKfn32Kx5eTzqQpaDHcXkd1/vfm+glA\nMok8DnetEaBosVIql5nytaMojXWHwaUQyWcIrV5FMV8L4O1eLyNYKORSr6icJ7LZ5/aZx8YnJzAG\naw8PAxqpqRhte+cy1ioaiqI0HKdUGh+G6XiUoKd95nMFMBpNRKeG8fs6Zv39Qk5jeM8QU1NpOr1r\nMDmqD7RCHvL5CtPTMaxWBbvdhLG5hZHxPSxory2UEsGGd+9CUgaDAaPBzNLFZxPe04sfJ7GxEfCA\naihTKpbwBOxko3GcQT9Go5HgghD6mE7F7eVRdYi18ThBf2PPghDitUvTNJ57rpdo1IBx78wOFouL\nUgkmJmB4eAqTaYRg0E4gYKezswXrHPmnh6t3cjv25ibsDAGNqTDJihsLoM32+LB4yOemMDb5yYyN\n4nI1LooH1VWv97FbNVKpFB7P3Cu+CiFemenpGM8/P4qiuFAUMJnMgJlkEhKJMjt39uH1GgkEbDQ3\nu2hubp41RjrQtpEBmltsQIZSGZwH9Malk3mCCwMzn/NmMwOpLNbV3bOez+TUyTudmG029Fgt591g\nMJAMLWAqsucVXf+J7IQL4J/a+jwtp9f/gZSTKRydbgCyqSSqZmHrQJxMxUVRt5BLJcmn3TCcoN2l\nEwpUA16lotW9KRqMUChkMGGaSZ3Zp6JV2D2wnVyuRCi4kKlKlnxhHF0z4XA0YzJZUADFYCKXKzMd\njWKxhHim/8+UCxAKNlGoFDB2LJ05Z8DfQWR6kKamLjBaMBkthKwLoQzx9ATD41toW76M+MgEzmC1\nzP72DqJjm7HpS9FCKrc8+SD/cOV7jsKdFkIcDaVSiaef3kkuZ8donL0V3Gy2ABbGx3O88EI/ra1R\n/H4rwaCdzs7gqwqGo/o4qtmOjcaBqNF4Gs29EgBVbyybwx8kkRqmqTPIxM5+ls0VwO83qYDPa2di\nfBCP57RXXGYhRKORkUm2bIlgNM4+GF1RFKxWJ4UCvPjiEIpipqlpkmDQTijkpLOzpSFNbp9JSrhM\n1db7st64T6GoYrHVWuArLjdjJSueWVrfAVwtVvriRrwAen2Kj72lmUh0mOnIFKH9Vno92Z1wAXyk\nFKPLVW3RVssqitE0M4B1bDzO07vK6J1vxNa5ZOaY4S3P0nTW5Qy5/exKhHEMb6WpsIcuwwGt8kZI\nx6ZoCiys+zqTiVMs7ubUU90YjS7K5QLZgJHWRV7KaoXpyCD5vEaprFAug6ZZcDo9VFQNW8cpjIcH\nyWUN7MmXcTqhWEnh8dgxm8047D5S6Sihjg4mR4bpXLwIAL+7DT1WodiXpZQMEw+E8Lc1YzQaCXWG\nmBrpI7jiLPZ4w9y1/jHe+YY3HsW7LoQ4ElKpDA899BzpdBmz2Uoo1N4wFW1t3yipVIJFi5YDkMtB\nLqexe/cwNptGMOigtdVDS0toznMcKJ6IMpWPYG1aTMjZ2Po+lTRja6+mDlZmWXG1OhONgslkImuY\n+/FiNSuo5TImsxmL1UIiEZ1zXyHE4du+fQ8bN/ai6wp+fzNO59wv9aOj/Xi9Idzu6ux80ShEIlm2\nbNm6X8NACLe7tu7DtEFlkTFPNqNicLobznlgSnI+o1F2zJ0NEGhzkxmqBvAHtv8rRp1c+xKGRwYl\ngN/PCRXAp9MZKvstCJBJxXH5/CSHJlm/NU84dCmZBWWCzQvqjiunU9iWVh9KVl8LFV8Lm8eGGY6O\ncspYPyta3RiNJgqFJC2h+j+eSGSY5uYCb3jD62a6nYbHI5y7ajEuT/3CTvvTNY10JsPkBAw8qeMq\njxJOm3BHwjgdIcYnUhgMKk0hH8VSFFuLG/WAcSeBQCfTkUF6FpzFtme2oZ6aw93ZTKC9k+jIJorp\nJIt7LuShP/6aMxcvo7uz89XcXiHEUTQ1FWPTplE8noV4PJDLZRkfH2TfczAQaMO2N70uGp1EVct0\n7tcQsY/ZbKdSgakpGB+PEY+/SHt7EwsWBFiwoAWbbe6VUndO7sDa1ATpOL7OAwalVVRS+HEAFbVS\nNwd83X5aNfAvzTGDDYDTbiaXzeLxVQOGclnyW4U4EnRdZ9OmXsJh6OhYhqZpxGJTJBLTKIqOxWIj\nEGjDYDCgaRojI7toaVk0U7fsYzAYsVjcZLOQzVbo6xsgnR5j5cpTKOppKgs8OLN5kokynllii/2H\nGlYqKmrcBp65B8+m4nk066LZNxohEVhEeGTTK7onJ6oTKoDfPLATb3tw5rNaKpJNm9k0GqTl/Guw\nApn0UMNxik7DoAqjDpau8+gvvY7RoT9xpjtGpZzB6egBqv9IwuEdrFoVYOHCrrpjU1kV/0GCd6i+\nnXo8HjweD36XlfSOPj71kQvZs2eM8Yl+dM1GpeIikYhQKjkJh7fg8/gZ2DVA19LFGPc+1a02N7ls\nCr/bjVdZSKpvirR7mqauNkYHtuFY+waWnf82vvnbX/PdG26YsztMCHH8DA6OsW1bDJOp1tXtcDhx\nOKrpgJVKhUhknEqlzPT0BF5viK6unpc9bzQ6icnkpFz2MDBQZseOXXi9RoJBO21tPgIBf12+a8oQ\noYwFl55paLUfm8xhbammuWTTGazelll/s6RVA/e8ee6pJH0+F4loYiaA12QmGiFeNVVV2bhxJ+m0\nZWYiD4PBQGjvgkkAmUyK8fFBKpUyU1PDrFp1XkPw3njeEpOTI3R0LCUcVnhxeph42ckKb5Jo2UB7\nWwWDsb5Hbt8iTgDTg1Hcjm4SxblXVJ2OGTAbqw2p2gETjZhdNhSlmYEX44d2I04SJ1Q01ze5B+/r\na29w8XCCaGox5pbqQFRd0xu6ZrSKCgcM2FDVMkql+vAyWSyoyy7n95v/RE+lumKgpmlEIlu44IKl\neDyNXUdl5m55mk1TRwsvvrCH86xWepZ307O8lsOvazpTkSiDe9zs7B1mcDBLqeLA6bJgNmn4/W7S\n6XGaWtsYGxmkZVE3uqYTmxqhlBkhl4jh9AXwn3kBX73tF3z5kx8+rLIJIY6ubdt2MziYx2RyzLmP\n0WiktXUBo6P9dHevpFJRGRurzmJlMpkIBtsbXs5HRwdwu/14vdWBZPvnu46N6QwOTmI2VwfCulxG\n/EEn0fIk3qVrMQ+Pc+AkZdGSC/O+KXVjOewL6mfh2qeIBa2iUrJZ0fQihllyXr0uG6PDtdln9IoE\n8EK8Grlcnqef3kW57MRgmHsQqsvlQVEgGp1gzZq/IBoNE4uF0XUNny+E64BFLguFHOHwMAsW9My8\n1OdcRoypKOaQjcl4mfzANFabAYtFwetxYHfU6jKtUqEUNeFwGSE798xZmaIbrbwv7qpOlb1vMU5H\nwE9ycJqowVadnlIaIoETKIDXNI20lqZl7x9OLJygf1cLwSVLMBoiAOQyaayO+jywVCKOyxms+y4d\nj+Jz17cu5SoK4eaPsm7bg1z2ujxr167aO5q7Ufkwb2shX6AYWEwskiDQVP+PRzEotLSEaGkJ8fpz\nlrLujxuYGt9EseAhWXAQj7ditTqJRHaBWm3xUhSFoHMh5hYHzz36B7rfcjUdy1ewfSjML+57hPdf\neclhlU8IceRpmsaf/vQMIyNJmg9I65tt3+HhXpqbF+JwVFvpfb7qsuWFQp6pqRHYOzWj399KJDJK\nKNSBwzF3T6DZbAWsvPhiL15vC5PlJ4m2lFBLBRbGp6n0hGYG0cbjWSrunpmmiXJFwTTHYk0md5B0\nZg/mlgCJ/gECvsYyOJ1WcrlIrSyGMrlcDodj7pcYIcTspqdj3H//BqzWIIHAwXv/k8lp0ukUCxdW\ne/Da2mpj+qLRMKnUvoYBG1arlXS6Ns4GIF/IUvBZ8ZQmyWRy2IMdGI1m8rkiseks6ZSO0ZRmejpB\nKOUhG8ngtlVT/SwGF7lsBoezsYyZogN9b8Opw+sjl0ph2bsiq83lIpoLQ2sXe/YMsGzZy/c+ngxO\nmHngx8bHsO5dfTWbzrBziwOLfzmF1BRWb3XgRDGTxuGubzWqFIuYDsgJ1UslDPsF55l0ArNiweKw\n4lh7OTtTzZTLc+dylQ7y9juboZEYXWefx/DEy8/HeuGbz+esM5dz3XXn88EPns7FbzTS0ZHCbFaY\njkbYtHELo6NxotEUDruPRaEmYlsHmB4bYdHrz2DdRIlHnnrxsMonhDiySqUS69dvpVIJ0draRTQ6\nxdjYbkZH+8lkEgfsW2BkpJfOzqUzwfv+bDY77e2LaW9fQijUyY4df0bXFeLxMIlEpGH/fTRNY2ho\nJ01NC/F4fIxl4/TG1xLNr2FkooMHH55gfHyaTCbLRMKIbb+F7iqzzEAzUx6Xl2S6jLfFy3SuNOs+\nJqMJRautju31WpmcHJ3znEKI2Y2MTPLss2O0ta3AZLIyOrqbsbEBJieHUNX6maQikTGKxSKdnbNP\n5RgMttDe3k17ezeqWmRwcBcGg8L4+G4KhWp8MpwaxdHajMOQp1SuTktZLOYpFPN4vAGMRiNqWUGt\nmJiYzNP/QpyJySTRaAqrxU0+2rjycqWikin7MFq8FBIJLDbb3jV8ahQj2Fa8jj9v33aE7tz8d8K0\nwO+eGscRcKFpGjueL6DbTsNuhFxqFI+rC6gOHD0w112paA1DnvVyfTdPPhPH7YQVK8w47G7gKu7f\n8jBvOTWJx12fO5ZMpbF7Z+9anktGteE0mVCCHcQisYZW+AMpZutMN1JbezNt7c2cey6MjIzx6/95\nmvHxHDZbG4ODYXy+VqZ3bqHb/zay2Wm8i7z8dkeGluAgq3q6DqucQohXL53OsHFjP5rmxmCo5qju\nawXbN+AsmdyNouhUKhqVisrChT0vO5NMoZBncnKQNWvOn8l/TSZjjI5Wz2U0mgiFOjCZTKhqidHR\nfjo7l2EymRmZ2EN/pRVvYAlaqYTHaaJkOovt25+jra3Es6M22onicJhxe5yoFQNzzTqvGBRKmgWT\nyURu70DXSqVCJJyimDeio+P1G/j/2XuTIEfy9Mrv5wv2fV8CiDW3qqzM2tcuNrvY7GYPaRwOhzPk\njJEmszGTTnOZi8x01013mWxOY6a5SBobaShSzSa7ySaru2uvysrKNSJjD+z76tgc7jp4AAgEEEsb\nm12VVXinDMDDA0DC//7+3/e+98QTYU52h418NQNc+0d/vgss8E3B48cH7O62kCSjc+V2e3G7Df7Q\n7fYoFFKAhqZpDIcD3O4gPl/onDMaKBbTmM1Wnn/+TWB6BudQy2EZhrDTYqCZGHZa6JqO64T0Rml2\nsTnNtPJ17KYNen2RXm9INpOh5ygwtNpxOq3Y7QZ/qpea6M5lHHYvjcwDrF4vItM8TJLBZLWRHvzT\nBNg9jfjaEPjDShZbMsz2nTy4vke3WsQfi9FtnThoTnKh2h1gkiYfQ6texW6dVJr6PQW/u0c06sFu\nm1TqrRvf5683/57vXyvgcU/avoVKC/+VMyap52CoqrQFOw7Av7TEwRepCwl8YiPJ3tYOV59dnXo8\nmVziz/7s29T7IrVmk3JZplhs4HXFuPfJHaIrzzHUB9Rau/xvfz/gf3I7SMYuvpgXWGCBXw1GTjOC\nME/1tXIAACAASURBVDs7A9MDZ/V6iWKxgNVqJZvdRxRFQqE4sjwrXWm3G5TLWVZXn5l63OPxjzXw\noxt6v98mn89w8+brYxngZ+ktLM+/jdlqp1tK4XHaECSJSnud4uP38Vz7XTpdkU5HpVgqc5RpEwjV\ncDltWG2zVH40yNqTJPZ36lSLbiymFzCZjWOPylUeP9ii7KjxbFImEnQy1BY6+AUWuAx0XefOnS1y\nOR1Jmu8qZbVaiMdXATg42ETXZRSliaI0sNmc+P3zh9AzmT3sdtdYogeTGRxVVdmSB+iaTru6T83u\nxqbIM+dqNXq4Yh4aKQ2byeBXnU4LHRFZtdNsQb3eRhQb2Owymf02Fl/AcMapjzpzp/iaaGz48/rZ\nw/HfNHwtCLymaVQHVQTFT7l1E5vPDPpxtf3EOzwdPd7rddH7PUz+iQa+p7QJOAxLJE1tsJ4YEg5d\nJf3o0czfta59hx9v/ZTvXy+NK/GdgUDgDG3oPKTTZdwrr4x/FgMJqqUqvuDZVXxJlhjOjOMaiMbD\nVO4dcuvWM3Q7PRSlzeFhgV+8n6NYkvH6bmBzr7G7m+U//K9/y7//7gqvvnJryt91gQUW+NXj3r3H\n7Oy0sdnO36CDUQHTdbhy5dnxY6o6oFjMousqmqbj84VwONzU6yXa7Ymm9SxYrRY8Hj/l8oBXX/0u\npVLO0MO2qlSt0tjVXWoVMQdtDAcq7Z5Ot71MbDQ0JgiIgonu0EyjAbVqA0nWsFpkbDYJr9eDIAr0\ndAvVcpPNbZHfsL6E0zHtUFHtiGyJf8yT7SSHQonv60/QtFlf+QUWWGAag8GAH/3oPWQ5hiSdT+FU\nVSWV2iQW28BimRD9RqM27szJsmk8BH90tInPF8PpnO8Zn6ocYXo5iqhryFqPYCiObDLRak9kfzab\nk4Gq0a20sYhGZ1FpNxAECbvDSavdQlMHxzJliU4HUnkzqUoRi0WirzTw9foz9VbBbHCe7tI6+Xye\nSGT+BuSbhK8Fgc/kslj8NnYfmbAFVo0HR//7x3p0dTBAPhUsotRrmEQJy8mAg6GGrmmYxCpXrtjG\nmtNZ/xoDlrV3+JtHf83v3Wphs1lQf8mPtKaIWE8Mbo2q8OcReIBQIsrRXprk2tLU4/Vak6N0g3S5\ngGyLIFnDaFqMtWUXy4M+j1N/j2bxYZZ6tNUE/8v/8Sn/fdl2HNZgIRp1Ew77Lx38ssACC1yMhw/3\n2N3tU6s1qFQq6LqO1xuYcXwAyOUOMJnsBALT3TFZNs1Ibfb3HzIc6iwtraJp2rnX7YToXwUgHDbc\nuT548GP6sZvIukyzWUVuFxkMZLpdBXk4JChep5Uv4owYr2c4UNGO11JRMjFUB+SqFVxuP6VyAZtV\npp1p0VTMWFw3kU4R86Gq8kl9CUcwgq67qefd/EIv83JwWvu/wAILTENROnzwwRbdrpNG42BGGncS\n/X6XTGaPZPLGWFI3wmmpTTa7Ty53QCgUO9fhpWLtYraYyT/5gqsBz9h+ciSf0XUdRWnRqFfoFp24\n7QPUThtZNmM5PtZuCaLUqjiDk/Wt3XMiWs00Gi2U6oDDwzqdWpWebsHlceByOrC4HXQbNQJXbvCT\nT/6WP/3d7/9jP86nHl8LAr+Xz1As9BD8b04eFI4JvGzc0NqNOjb3dAqYpqowHGAy28Y/6/0hXkeF\n9RXv2MdUVVXE81IFN36HH33x5/z+y+ovTeAV3cpMvd6/RK1Sx+s/OznN6XZROMiOf9Y1jQcP8pS0\ndSIvv03m0UMiyauTU8ZWOPriHn/4W79DKb9DJvSER3cPUNbf5D/98If86fd+F1V1kk7XEcU8gYCZ\nQMBKMhnB/Et0FBZYYIEJNE3jk082KZVErFYHsZhj/PhI6w46Vqsdvz9KKrWFxxPF7T5/Ay+KIqra\nIxrdIBAIjb2dBYG5UptyOcdwOCQenx5eU1WVnDbA5vbg8hvSHUkeUq3WsdlstIo1rJ4AWrYHYR0E\ngU6rjeyOATBUB7TbdTyeAAgi6ALFRylslQBZtYJZg/1ijrDfj91hrLMP80300O9DaRsEHY/lKkeV\nJs72X/L6wiJugQXmolyu8sknR4ATt5u5Wndd1wgE4gyHKuVy9lKzM6KoMxz2eeml7wBQqeQpl3OA\njsPhxus1iLamadTtOmq9jNyqEHxhdeZcgiDgcLhQ2xAPPkelmkcQRTRdR1UH2O1Oo/LeHsBEoUOr\nb6fdaiCKMhbZjSjJmJ1ByqU2Slcin29jljSUg22Wbr7AUf+XMwr5uuJrsVJm6kWK1WWiUeOGpQ1V\nBFFC0zRGMYZqr4vFFZz6PWGojSv0AL12ieeuOonHpom+0qhhtc/XrI6x+nv8+PP/G5f38l+sdquN\nap2NFg4kEhx8kTqXwAO4gl7KxQpur5OPPiljWX4H/8hRxyTN+KXaI0Ea1QLByAbByAaWwacMeg1q\nG/+M//wXf8Fra1d46823ATPVKpRKQ3784x+xsbFMPO4lHvfi813c/l9ggQUMp5n333+MotjGdowj\nnA5XqdUqfPzx3xEMRlCUGna741wiezr63Ol0j9ve/X6PYjF3LLXRUNU+LpefcHhp5jxH+W26gRWE\n4wJFt9PGqytEogmaxQwR/3V6vQ6aYiG/8wR3PEa71cUW86IOeihKC7fHWFc1dUBjM4W7F0c0mZDU\nBpIzQPbxAX1FptNNEQx4uV8JYfcJiCYbnY4xpOQYXudJ+T3y+SxLS+dbai6wwDcNqVSeL74oIEnz\nXKgmWvfhcMju7kNarTrhcJRmszaegZmH0ezM8vKNMdEPheLj5+v1yjhvIlfL0no1SMjlo9lXMFnn\n85N+r8ewbqdpreH2BDGZjgfZ1SHttpG43NLq2JZCSLKJQa9PuW3G5jJhsdrodN30Gw3MbjedRg1R\n9AESqm6mXslTf3DIMFXn/v3duWF03yR8LQj8R5/uEnzj349/bjebODxeBp0W8shvVJsdYNWHOoIg\noOsapkGVl9bd2OYMZCn1Gv7A8szjJyHLMiXXdyhl/j/Wbl/udWdzDbyr8w/WvDHqtSYe79kbh1As\nzPbdBzzcGeK68jtTO+3wyjqF3SfE1ydDbYFIjKN793H7wgBcv/kyh/e/ICw7iP/x77N55yF//sP/\nSizoJhpdQpJk4vFraJqNVAp2d3NYLCkCASvhsJN4PDTTmltggQVmnWbOQ7/fpVbL8fLL30GSJPr9\nkxU1nUAghtVqyOyM6PNNQqHluZaSAGazZSy1Sae3AUMOk07vYLXa8fki47Vip7RD78bbuN1hlHYT\nEPA5zaiDPkIHRJuEze7EZnfSbPWRJJlarUnXUabf645lOINOh85WHo+WRBi94eEQs8VCQ9OwtBt4\n3AH28nXSfBdxp4jAEKWaIuBZx2J20Ox9m7//4CP+9I8WBH6BBUY47TRzHiqVHF5vkKtXbwFQq5XG\nBNxkMhMMxsfXfqNRptGonzs7MxqC73Y73G3vIJstbH2exrpfoJhQ8K+Gx6nwI1T3a6gDEw6HB0me\n8ANJlnAeFxzE9oBWs4Eoixw8SaE5XhlLbCyuIJ38I8xuN8Ip3tZT29gkE91gknsPyuzvd8dhdMGg\ng0Qi8o3q4D317zSXK1LT1wmaJ8S731NwBZao53exhsLHj05/EQb9HrJkpq/W8AkV1la9U9G/J6H2\nepeSkXRbDayW7/Pk8V2u3ghfeHxrYMJ6xpctuLzCwRcfcPscAg+wfdAl+vybM20ys8WMLsxuWpzh\nELVSFm/QaIFHrlyjtLXLauRFhmsqNYeHgC9Ou17E5TTT7SpYLMaFZTbb0HUolSCfb3P3bhG/34zd\nrnHt2soihGWBBTCcZv7u776g0xkARYLBOGbzfKeIeRUws3lSUdM0jVIpdyyBGVCvF3nmmdfPDJE7\niXkDaSelNpo2pCRICKKI0mkgiiZMgoDDJqCU8rgsianzOYnRyucRZCsWswWfN4SitOjUswx3m/gs\nqwjmyTpkNntpNkr0Bl2uBJIgChz1PMhe4/Xomolud8jmVganw47FHONv9/+Cf/uH52v5F1jgmwBd\n1/n0002++OLgOEXZTiAQO/P4TGYPm82FzzdRGni9wbGbjKK0yeUOAJ16vYLT6SOZ3LjwdbTbNfL5\nLEIiTGU/xKBl46oty2C/z356F++zDuwOJzarg0apQqtgxu2yTJH307DZgwyVLLrLjGSK4TQFaTZq\nIIAoCIiqNv4MJq+jjiiL2GxOxMQy9977gN98/jZgoVyGYrHN/fv38fks2Gwa166t4nTOL3J8XfDU\nE/j/8sNPcS3dnHps5B86GCh4jivwwqmR5na9isNiJuTusZ6YlbGcxBwePBdqt4c3eoV0roPTuUss\ncXbrCkDRLMy/rR+fzxWm1WjjdM//Em7eTxO5+QeUUwckbtyced63lKRwuEN4eXKR+iIRjgr38GIs\nBBarFcljpdNpcHXtdYqOLKmdz7E67AyxMBy6SafTCIJKODwZlJEkGUFw8ujRDjabi6OjbVwuiUDA\nRjTqIRj0f2PbWgt8c3FwkOH+/TI+XxKfz2hpFwppNM1wVfD5wjiOh+ZrtSKK0jy3AiaKIuFw/ESc\n+Q3y+SOja2gyj90jTsJIbX004zwB01Kbu48+oOyOord72PQuDocZtZbDbFExDZwItunrVxAluodt\nFJtMYDS01ujgyNiwuRJ0uwqtVhVdN2znTCYzzdohUX8YRAFNU8lryyfOJyKbnWhal6HqJlet0Cj4\n+d//899w4/oqwaCdRCKM1XreKrnAAl8/qKrKBx88ptk0s7R0BYBGo37sHGNcXycHVy9yjwGw2x3Y\n7Wvk80cEg0uo6oB0ehdd1/B6g3MH6mu1Ip1OG5wmyn0vFnmdrpbCbenjdHpx8hLtnV0sN4aUWjky\nd0q4bNeQLeff+wUEmrkKkeh1+pqA2WbBbDGKsNpwSLXQxdSsovQUTEoTTRsiyWZsdmMtsDhc5PTp\nkCpRlBBFF4eHBQaDHum0ht3OmJOEw4GvXWHgqSbwjUaL7byM6frp6rjBuEVp4kAjCCcqVrqOTe9x\nK+mmlr9A2w6X/k8XjnNJ3IErPHpUweVWcLrnV6U7ioJmO3/jEFpbZ/eL97l9e5bAV8t1av01vEE3\nFUGa60Bhd7koHx3M/K53KU65eEQgZLSqoyvrHNy7g8PxIqFwDFEYMmx26HQVHm3dIRaOEYvdoFA4\nQtfbyLKJ4bDLcNgnFEqOb7C9HmQycHBQRJZTBAI2QiEHS0vhsQ5ugQW+rnj4cI+9PQVZnlzzkiTN\nOMfUaiUqlTwWi4Nr1y7W2zWbVer1yjjOfFRR63Y7FAqHx0dp+P1LyLJEOr1DInHtwir9TrMBkSSR\n6Comk5lut02nuEfbXMRlXmJoUpFObA7arTpOeQm1fISmDmjuZHA0A8gm4/0aMh/j351Ok3K5iChB\nbaAw1GSyjSaq++bUTUeURDRNpdGs4Hb7ETov8NEnnxKLXqVW6/Pw4RYej1EYiMd9+P3nr5kLLPC0\nY+Q00+87EE+oAtxuz3i43RhcPUJV++Tzh9y48eq55H2EdHoHp9M3o4svl/M0GsZAvSxbCQZjVKs5\nVFUnFlvl/3nwc0zJf067VUFSTXhPbO4drFO+/wBVbrESf5tSsQSyRrNZA93oKI7kMWAYbjQaFdym\nCFq/T7vvhRN5mKIkYTW7cbt82K1O0vubuPxhZF1nIPSR+h1ks42G3THDe8rlHJqmEYkY3EZVIZ83\n7LpFMX0stbGTSHw9zDmeagL/d7/YR7OGMdmn01D1kVzmmMB3Wi3sx19ubTjA3a/xwhVDC1a91F+6\nZCVZnxznjb7Gpx//hG+/Y51oQk8gna7hXbt14SkHjhBKq4PdOf0et54M8K4aO/NgfJX87hNiV2Yr\nee5IlEoujT86GWBz+QMcZbIEmGhNQ+tXye1tEo1cJxBKUFD38Zj9rCT/FQcHD9naeo9AIAqYqVTq\nOBwmTCbzXL2ZyWQ+Pg5KpQ4///nPCATsrKxESSaDC8/5Bb5WOOk0I8tnV4tHg6uZzB6JxFUkyTTX\ni/kkKpUCvZ5CIjHb6rZabWNXmeFweByfniEeT9Bq1cbuEfPQbtfZHgxI+BPH1ytYrQ7o14lGjW6e\norTRNBVd11CUJl5vGKvNjnogUXz/IWHnTQR5dm3rdFpomk40usxg0KZSe0S72WanLtJxdjCbh1is\nx0UJTaetVImGbxrrpCxSzNsZDAaYTCYsFgfdLqTTOgcHWUqlX3Dz5jVCISdLS+FvlN51ga8/KpUa\nH398CDg5r4FttVrw+6Pkcvu88MJvUqkUaDQq6LqG2x3AfdpxT9NIp7cIBBLY7bP330Bg4qmuKE2+\n+OI9zGYrXq+XUjlDSYjgFU0M+wq2XgNXYMJHOp0m/YaJalsib6qjNJtcvxXHcXyf73XbBpnHcK0y\nOpEhEKBRSFOueujV0widIXpXQ1ChVc1hklU6ahNRUrGFrdhcHkRVo7yzjTWUQPG4SWXTLB8PvZfL\nGTRNmBrCHcEoZpioVqFc7vLRRx9hs+lcuZIgHvc9teYcT+3qp6oqD3dlumqVqG8SxKRpQ0aEe6Rp\n73fauIIJtJ5CTO6yFDtOJmy3MF2qPXs5Ai+c+jht3m/z2cd/w8uvR2eOVVQT5kvcfEJrG+zcf59b\ntydke3crizX82vhnq9WK2hvM/X1PIMhR9v4UgQcIrKwY8pq4QQzsDicNlwlFaWC3uwnHVsmmniA1\nS6ysPEsotEyx+IBIJDYmE/1+j1xuH0Ho4XJ5ZxYNMHbEui4jiiGOjobs7Oxhs+kEAnaiUTeRSPBr\n19Za4JuDfr/Pn//5u6iqDb9/9jo/jdOt7tMVNdAAAb8/RrNZAURisdULz6sohgXba6+9A5wMagFB\nAL8/Oh6Ebbcb/NW77+J97SXsrsk126oU8Q/NCKKhXXU43fR7Ct1uj1BolWYzjSw+wh/0oIk69XoK\nrzfJZH3UaTZryLIFh8PobJpMDnDaQGmhWNZwuf30e12ajRrDoUqllCWafJ7+QMFicWKyeRiaXuTD\nTz7k7TffnnqP2ew+gcAy5bJEsdji3r0CPp8Fv99GMhn62utdF/h6Y3f3kJ/+9HOCwXUuoiXNZpVq\ntTROXo5EJvMqlUqRTMaoppvNVjyeMOn0E+LxDczmWZOO06hU8mxs3MLl8jIcDvkvP/1LuPEvKBYO\nkHUTFrU8tqhtNqtUa2U2D0K0xT+ho3YYDFtku3auxO9y/YYbi9WBxeowhuQlGV0fUitvY5G6lDIZ\nWgfX8EdOdAREEM3Qz+UIxdbpdAqIm13qtjLmlQA2ScDp8iGvSXz8o79CYkClksflCrC6eu3C99fp\ntGi3FXy+DVIpjd3dNBbLAYGA/dicI/zUmHM8tQT+vY+e0NOiiA4FUZx82J1WE6vTuHnoxxV4NB2U\nGlfdEh7nxF+53ayPjz0Pmn4xgdc0DX04/ZhsNtPuvMbe9qesXZmuhnU186z/+xwIosDAEaardLHa\nrQzVIfmKG//q9Ov2hJcopQ8ILq3MnMMW8NGslHD5J8MtdpeLModTLaiRlGbF/iIAscRVUvuPEBUZ\nh93LysrrZDKPMZmqhEJLmM0WEgmj6l8uZ0mnDxFFnVDI2Cxkszu4XP6pSGaz2c5wCIUCZDIVRDGD\nz2fF77eQTEax2aY7DQss8FVFs9niww93cLvXaDRqZ7o9wNmJiCMYVnBrgFFNv3//QywWC06nh0aj\nOndzPEKlUqDf701V6U8GtQyHQ8rlPJVKjnq9SrvdJtWDWGR1fHynWUFqC3gsI8u3Pu12C13X8Xk1\nIpESt24laLWDPG+/gsPtYn//kA8/3KTdlpCkIboOJlPgONpdZ0Ts3d4ltj7/K7qBf4YMmC3G891u\nF78/gaabaVRTOOwRzCYHQ6HBfkrjJH0/PNwkGEyMnXdGetdWC1qtIdvbuzgcEAjYCQZtxOOxxQzO\nAk8NNjcP2NlpEYvdoFjMMBwO0HVtamZmBON6744D2U7D7w8BoeNj83z++btEo8uUSlnC4el8iJMw\nZmc2CYdXpwwp2u4EXm+YRvkAhz2CXP2Ier1Gu61QbVS5t38Ts+ctzCYLbquHfPpDFEuIR6l3aLV/\nxMZqB7QWQb+LaNhGJGRhJfkCkiTxxYNDHvxfFhqNGoJgrJ2SJNFTBewDkCUZq8VPv6/gMUVRHldR\nahmcKzexOd10fD5k2TTuRBobF45lQNGZ4mC7XaNarUytlWaz9YQ5R4O7d3P4/Tb8fitLSwFcros5\n4peFp5bA390CpVfGFg9MPd7ttPHHjAFNXTBSVR1an5tBKxbztCa0p7TwRs+vmqn9/rkhTiMojRo2\n+2z4isMTZv9gCa+vhC9gXIhDVaV3CUuoEYJrG2w/eJ/nbiV58jiPO/GdmWPcXh9HWymYtXomGFvi\n6P69KQIPEF7foLD9hGhiIr0JrV8lt79JNGw8llh9hqPde0iijNXqJB6/QaNRYX9/i2g0Pq7qGdPx\nMfr9Ho8ff0SnU2N9/doUeT+NUVurWOxy9+4D4vEGbrdMMGgjFlvoXRf46qJQqPDZZykEwWgTTycb\ndsZuD4Ig4HIFKJXScxMR5yGT2WZt7ea4Ol8uF07cmCwEg7HxjalYzAAi0ejZNreSJBEOx4+TFjfo\n622GwRx9VaffrNNpVBFbQ9Ds9NubDPoOXC4T16/5SSS8hEKT6lgu38QRdSKKAuvrK6yvTxcMVFWl\nUqlRKNRotzUURUdRdO71utQbZSyqgKbpmGQLbk+A5rCG3eFCG7hxWH30ugqtThWhHeGzu+/z/HOv\nkUptEYmsjlMf58FstjMYwL17GXRdJxgsfO30rgt8/aDrOnfubJHL6ccbX4hGjW77yZkZ0LHZnKhq\nD1E0nXu9j9Bq1Wi3G7z66ncBju1ps+i6amzMT2wOVLVPKrVDInF1anbmg7ufYF75Fq1GDrs1giTJ\nOOUegmBBNLUJX/tj/ux7z1Ov1alW2/T7PfwuO4GwCaXTQB/e5PrKY7799qzJBkBf9fBv/s1v84tf\nPKFY1BCEJi7XgEjESbpUpz9QMJvsdDplAOwmH456mdqjXdzXVymaJQRBmpIAgSEDymT2xxa+wWCc\nXq9DvV4lkVg//TLGkCQZSXJTr2vcu3ePSCSJxyMfD8Iaa+FXqTDwVBL4/cMs5WYIXS4hWU61TXUd\nQRCNlFVBwNUu89L1lbkfujZUz7U6Amg3atgcF2u2W9USftfq3Oc84dt88fnf8fZvGkNhxVINW3T+\nF3oeBFGgaw2gtBQqLQ+B4Pz/Nrs3SKNUwB2ctbA0u1206zUcnonWy2Kzopr1qcAnu8NJ02Wm1arg\ndBo37uT6LQ627xBhA6vVjtvtx+l8nUzmIRZLdVxxL5XSdDoVlpev4Hb7qNWKpFJ7gEYwGJ97AzbI\nzv44Ma7bhVRKZ28vg8l0SCBgIxx2sbT09LS1Fvh64+Agw4MH5bmhKjDSphvV9Hq9zNbWPaLRGNns\nHn5/dK4GFSYe76fJaiAQBoxr+uSNqVTKEomsEInM2bWfOm86vYPHk8TpdPPffvJzQr/zLGgqmpJm\nze8gdsOD09Thd6IvEg4HzjzXUJfPlbzJskw4HCQcnt64W+vfIRp9hkw2Q6cr0Wx2qDc7KEKPbjOP\n3RWm0yjhcEYYejzYpdd5vP2fUHs/IxKJUa3mZ9JlT6NYzCCK4vGsDmO964MHj/B4TAQCNhIJPx7P\n+Sm3Cyzw68BJpxlJmr2nnw5729y8iyAY6aiFQmqmy3cSI4er5Ik0dsOe1thwT5KgS3S7HSqVIjdv\nvjEz+L7b0pHNDtRWFcEkUa9XWaKELyBgs/4+npAxxxcKBQmFjGve5+yxtDL5u/lKiHLpAYHgbCVb\nGdiQbCLf/vbs/F6uNMCx4eLgsEYmDYXiHm53EtkiYeuEyXx4B8eVaxxtPR7nUYxgt7uwH4dvDodD\n9vYe0WxWCYViF3Y0NU1jf/8RKys3jnM5IJuFw8MCsjztOf9lm3M8lQT+/TsVLI6b1Jo5LJbTH6Bh\nBdOt5Yk74VrkbCvHy2ykOs0GXl/iwuOGfRWz7+ybi83/bT7/9Ee8/HqUaq2P88YvNzQR3rjG3//V\nX7By61+feUwgHONo895cAh9ZXuXw3r0pAg8Q27hK9sFjEss3Txy7xv79z7HbveMFYuXKixw8uUPM\nfxWz2YooCiQSN8nl9vj445/g83kIh5MEg5ML1+sN4fWGGA7V47Zg7rgamEAURRSlRamUHuv4TsJk\nMqoR5TIUCg22to747d9+bea4BRb4deLBg1329ztTTjNnYTSA+tJL3wImnu7VagHQcDr9YzeIfr9L\nNrvL0tLVc91jRjemVOoJKyvP0u12SKd3jtcyCb8/MkX+jQ1yikTiBrJs4mcffEh1CIFBlme9Id76\n3dcRjzfG5cd38funyW2n06XX7eN02ZFlmYH2y8+rDAYD2kUTjg07V69cmXqu14vz8P4duqrMTqdA\no6EjSiLqoEuhauN3f/tFvB4/qjqgWMyg6300TcPnC01JC06T9xFEUcRsdtLpQCql8eTJNi+8EGF1\n9eI1fYEF/qnQbit8+OGTGaeZeRgNoCaTG+PN/6jLp+tDBEEgHE6ON7fFYgZN08eyknkYbQ4ajQqa\nJvLCCzcpl/PjtUnXdfb201StCbTMJg6rBcne4vZNBz9wODiqvYHHP9+EQz81M+j23+Tju7v84Luz\nxyo9x5kThlpPIhwJEY6E4FXY2cny3ntHdLU83bpAyL5Kt9hgu9/i5XM+v3a7hsPh4sqV54DJjICu\n65hMlqmNkCF13BqT95M4bc7x6NGn/OAHr32pM3xPHYFXVZXdlAnRBp1BG7/3VLVI19GUJsFegdVn\nr8w/yQiXYPBav3c5H+I5Sa8nIcsy7fYrHO7eoauZ+WWV3oIo0Gw40TTt3ONMdifdZgvrHKcXs9tJ\nt9XC6pw8J8kSsttGt93CeqLTEL/6LJmtRyROdAqSV15g+8EHWAUZSQJBGGI2W3jlle+Sz+/THut5\ntQAAIABJREFUbFZwOt0zX2hJksctv263QyZzhKJU6XY73L795oXv3Wrt8vbbL1x43AIL/FNh5DTz\n4EEKAEEQz60IF4spBEGaGkAdebqPMEpJ7PXaNBp1nnvujQtdVSY61RXsdgcni8n9fp9qtUC53Ad0\nWq0m7XaXSCRJsXhEvpDlwaM0r71zjXf+u++MifsIZk0Z//3tJyX293202kuIogdBzxEKZsB5yVCM\nE8juFnGZZmdzACwWK+Ggh6WVdd58fZ0vvnjM5x/uMGibiQf/kF+8/1/5vR98D1k2EYtNVw9rtX1A\no91u4PfHZtropzEc9rhxI7gg7wt8qahUavzDPzyiWm0BRkX9LMcoQ9qyPTOAerLLZ2xuDWlMsZgh\nGIyztHQ2eR+hXM6jqhqJhDH4ObJeHOFvP8shP+Pk+ef8vP7aFWSTTOVgm71HMTyJ1+ees9/vYpoT\nWtcVvsWT7R9x9cp05bvZs3OW+aWIlUG/j+lY/raxEWNjI0av0yX7uApWLzs7Gh8+LpLO7LN0HH53\nEqN5gdHaAdMzAorSHnc0NW2IorTY2Lh9YbdfFBXefvv2l27A8dQR+E8+30GTVkFVGUpgspyaqu62\nuW4PUG+LWG3nV8ku6y1zqaMuMejq8ETZ3gkhBsq/NIHP76fYWPk2he1tEs89d+Zx4cQqme0HJJ6d\nPSacXCX94B7JU97T0bV1Dj+/y7Lj+fFjZosZW9jHwcEXSLqEiIquDvDabbSaNcLhpGE7NzpHdI1e\nz6gGOhzOMx05rFYbdrsLWRZJJLxjGz2rdX7KnCy3+Na3biw0rAt8aej3+7z//mMUZWLbaOhJM+jH\nYSKBwGQexLgGPOfOf4Dh5y6KAroO166tkssdIggG0Z+3ORhVh+Lxq3OvB7PZPHajyOcz+P0Rrl83\nbsr5wgEHhSL/w7/7DxQij2bIO4Bd6NLpiHz4Xo++9g42ux/LeAlN0tM0Hr73f+JZbeH0XN4Ktl0E\nh9VHV2lhnSMfEk6kZN++fYPEkg+9oLGz2+CzzwRarRbOE0WHk9KCfP4Am81Dt9smnd5FEMS5g3rD\nYY/1dQc3bszfSCywwK8D6XSBu3fz2O1h7HajU16vV04MwE+GL0fhbSdTmufB2Nwuk0ptsbZ2k16v\ne3w+Qzfv989ubPP5FLJsIxKZn+z68Sf3aZgH/Mm/vDE1A7P38SbPX/mXZ76WVr2MwzkrT7E5/Gzu\nhrh6ZRK+1Gi00c03zjyXyx2mmkkTPrXhttisaMMOschVIpEQz17/d/zwf/6P/MYb1mNHPDcej49C\n4RBBOH9ewAi3WkdVVQ4OHuN0+o87GzpO5/w1XBDavPXWFRyOLz95/qkj8A92VGSzhXYji9U7LQcR\nW2XeurKMw2GjXrmYUAviZTTVlyPwunq545z+29x/9EOiL13q8DGUTIeI20ezUUTt95HPILSiICDK\n5rnHiKKAyeWk21awnvryueJRaqUsdleAUvoAOn209pBOucb62vWpKPhwCA4P7xEMhrHbJ/tni8VG\nMvkc1WqBw8MnBIPRsQ5thEJhH1EUx4M6o+dbrcbY9m7k4mEytXn77WewnN6kLbDArwkjp5nh0MnJ\ne6ihJ10FDI1lqZSjVMqQzR6wvHzjQvIOhsXqYNAfD1WNroXJ5mA49kyWJBO53MGlBmFTqT08nhVc\nLqM7mU5v8zi/xdtv/CtanSLu1fmywm61zN//7TJO3/fnFhhUtU/Q8QaPf5rh+d+zXFr/2auacbuC\nNKrZuQT+dMvd4w2Sz2zx2qvP8MyNP+Hdd/8jL7/8FpHItM41nd7G4XBNzQDMG9SzWKysr9sX5H2B\nLxVbWwc8edKckd95PBMp3WjGpd2uoyhNbt1668Iq76grF43ODnqfTG8VBB2PJ0S1WsLlCuHxzM66\naJrGp5/9A4eHPf71//h70wPsj3ZwK4Fzu4RKu4bXP+vDDqCZ32Bz6//l+jXjnNl8B4f37Pkdh8tF\nsdSG1dnnTo4MeANBXnznHZ7c2+U33v4+2ewem5u/wOt1nTuwOoKqqhwebrK6+szU2jrqkIKhoDBy\nOnq8+eb6V8ay9qki8N1ul1TOhtkFHbWGxWX0j3Vdw9IucyPkQTYZ/wHCJd6ZfgkJjXjZCrxwuQHL\nSjHNqu1NDu9ss/ziBRKfY3SabaSOB9wQiW6QffKYxM2zh2Ajyxtkdx+TuDF7THh5jdSDeyyfqsJr\nQ42dO5+Q9GwQ9q4j22SwgebXOTz8hNXVZ6eOX16+RSr1CF0f4nBM77h9vjA+X5h8fp9KJU84nMBs\ntpJKbeJyeWZS4GA64l1R2pTLW/zRH313Qd4X+NJw2mnmLEiSRCAQIpXa5vnn36bZrF1YASsUDs90\nkzi5OdA0jVRql0IhRSy2fByDHp3aUI9gVOj3iEZvYrU6UJQG+fw+Nb3D1eUXCfhipNv3WAnOeiVX\n03mOHoZ59uZvnPk+m/UiTqcfu3WFx794l1vfudgJo9frMai58HrtlOrduceIpwopkiQhmIyqvMvl\n4dq1N6k3+ijdDD6vBZNsolQ6IhSa2EqOcHpQr1BIE4vpPPPM7JzNAgv8OqDrOp9//oRMZogsn997\nt9tddDptZFlmbe1ZCoUUxlyfjt8/awQxkticdo8Z4WR6q6qqPHjwCU5nAEGo0WpVEARx/BoFAVLZ\nHCZTjNd/sERkdSKpaZbKSJuMAzHPggBnavotNhe7R0GuXzNkwM2OFdl6fmddG8wncqI8LSX2LPtY\ndv0L7t3/IasrG7z22nfRNJ1yOUO1WkQQdILB+My6OSLv8zTvXm/wROp1j1LpCX/wB9/+SgVRPlUE\n/sNPdpFtxrSyaBbQRAFdG+LoVLge9Y2Dm4Cpf/9jcLo6NA/9bhdJupzEo99SCPvXKO23qS+V8Zzj\n+DBCcSeHP2QQbkmWEAemc6vwkiSBIE25y4wwrsIfa+HLmSzKXgmPGuG52DvU64dTvyOKAtHos6RS\nW2Ot3AiJxDNks9v0el38/tlWXCSyOh7AyWY3uXHjxbHV3nlwOjV+8IPvYrNdJmRrgQV+9dja2uPd\ndx8Si13hory1Uas7mbx+TOYnhP1koNKos5TN7s2NM5+HVquKLMu88ooR0NTv96lU8mjaANDRdaOA\noWk6xWKBUGidctnQ6ZvNDmSXDY/oYclvbMDFOctNNZWn/OMCkcj5ydC9dgNfMIEoCAi1Z8ns7hBf\nP193ntsr4rEbw+fCGeM7+hz54clZ2WDwGqqaoj/okcsV6XbK3LhxayxZOguapvLyy0mee242xXaB\nBX4dUFWVv/zLf6DbteHznX+tgCEJk2XLeGN/sst32h9ekuRLSWxGryOV2uaZZ96YG+akaRqHqQMC\noessha9TDhxNfrc/oPZBiqTrNqnW43P/zkWvQ9Fe5OjoJySTPtpdK1xwi9cH8wujolWe4kD2RAC1\n1ObGsz+gWr53/FqEY4e8JYbDIYXCEbreA/TjWSTxzIHV07BYVP7wD38Tt/ur5Qn/VBH4J0ci4rHt\nY0ft4bRZcHcrXIn6Z+ZRhUt8oZEuHkC4TIhT8wzd1/wTGucLetZJf/Apzt/1XmhlOaiCGJq81kh0\ng+zWo3O18NHkBvmdLZauPzvzXGx1nd1PPkZuW/D2oyQdkxt3pSLQ73endqpWqwOHI0a5nCYQmG55\nxWJXKJXSFAoHhMOzLep+v81w2ObFF3+DYvGIRqNIMLh05s1XFFt861vXF+R9gS8NDx/usbenEIms\nnaiAMbeC02iUaTRqrKzM13Ke9IdXlDaffvpT/P4IoijhcDjPtUUsl3OoqjoeVgND5z6Sn43Q7Spk\nMnmee+57UyFRxWoKpa+S9NxCko0NvRiYXmuq6Tyd9/qYNdeFsh9dNyR6AE57mMy9XaKr2rk3baUk\nYht9Ztr8tVQymel2lak1QT+xNnu9EY6OdkkmV4gfD6Plcnuoao5oNDH3MxwOBywvmxfkfYEvDYrS\n4YMPtrBaV+j1yuMsB7PZQjA4Kx1JpbbxeIK4XLNFLkmSpvzhj462KZVyRCIxarXi3C7fCP1+l0zm\nkGTy5ly7Sk3TOEwfIlkCBOxh+qqCNTnhM6mf3WPZ8jzdroLpwqDF8/mS0x1me99JMgmtnuNCAqqp\npqmwyREC8TCFJ0eEksb17Q2FSUsPWHLcZDi8Tia7STw2WSclaWIooKoDstk9stknxGIrDAZ9JOns\n96Xrbd56a+0rR97hKSLw3W6XdMGM+fgz7KsKSZvAlej8KpZ+ATnvKS0sZ/gxn8RlrCZ7jQa+wHzd\n18z5TmjlI9bnOfjgc9bfnvVAHaGcK+CQp6vbkiwhqmb63S7mMxxyZJMJXWPul790cER7s8V6+CoO\nx/RiEY/f4OjoDisr0xIbny9KLtc6tmSa/p1gcIlms8LR0SZLS1fHf69Wy9FqFcbxxvH4+nGlMEO5\nnMVksk25chjk/Rp2+yKNdYFfP0ZOM6WSiCwb19VZFTC/P0qn0zrWsF9MElVVpVA44Pbtb2GxWMfO\nEZo2QNf1GX/4YjGNIEgzzhCnYVix1lhfnx6q6fe77Gf3eGbjt7DbjPOWWruErkyIQy1XpPOLLmHH\nNdLKA6QLWg3CKQLull5g/8FHrN8629WlV504bunD+Wuy0xWgVS9itU4KAFaXe2qtsVqXaLXqOI+T\ntKPRNYbDIfn8LprWxe8Pjz8/VR2wvCxz69aCvC/w5aBSqfHRRwcIghNBmJZjTOa9dGTZRCAQJ5V6\nQji8PCMJm4darYTFYuXll78NnOzy6UiSTDC4NO6iG93BDMvLN8/caO8f7aLhwm+L4nL5SCkPSCwZ\nhhapzx4R7V1HtIg0Wjk8V87PnBhewqSq2LhKvf6AVj/ARf14pytMLZ3Hn5zmQFa7neEgN/WY7heg\nBy638TmfJvEjqOqA4bDDK6+8g67rU+u61xvE6Tz5qtq88cbKV5K8w1NE4D+6s4dsM4ig2umQjFi4\nEjunYnQB8e62mzNDsKfR73aRzqmQjaCp2oVermAQBEGbVMBkWcZeSVA8yBFame/a0kzVCftmb0TR\n+FXDbeY8R5rlK+S2N4lfm+g/U3cf4ioGuLX+DkeH92bIuCgKeDwJKpU0fv/0xRqNXuHw8C6SZJ6p\noLtcfiwWJ4eHD4hGl6jVssiyQCKxNnWcKArjoTNFaR07R4Df7+R733thQd4X+FJw0mlGmrP5P10B\ne/z4M3Rdx+PxU69XzpXDGBWwvbHEBibOEaPzTfzhdZrNOpHICj7f+RXxdrtBtaqwvDwtfen3u3z2\n+c94/oV/ju0EIdDdfSzHG/56vkz7Zy0iDqNzIEgXr1/6KQJvNlsp71jRbs6vwo/076O7tKTPH653\nOF3UykdTj/kCEfL5rfH6FAotc3T0/pjAg/F/Eo9fRdM0isUU1WoZQdB4+eUVbt263HzRAgv8qjFy\nmpGk+QXCk/Ne7Xadzz57l0hkiXq9iNlsuiCsLM3p5OXpFOgehUIaXR+iKE0UpcvNm2/MvT67XYXH\nm/dwudZYW5lYJwohgxYWnuzhTvnHhhd9rYPVcnZnXO33kcSL+ZIn+Azvf/hzRPfZ8zbj9+bxUczv\nzhB4AMk0vVvwX12m+LMdQr4NXO4ggihxlLpPMjEpDLTbDcrlQ1ZXJ0XTk+t6tVqkXjc2Q06nne99\n7xZe71c3+O2pIfC7KRBlCW3Qx6EfkLh+9nSx2u8jmM5/az2lhTd2ftVcadSx2C5Rpb+EzAagUSni\nsE/f6N3OKJk7BdzhLpY5spFhXZyrExNFAXFopasoWO3z5ShmsxltqB97xwscffAFkf7G2O/dZvfT\naBRwu6eDn7zeMEdH93C7IzMa+kTiNoeHnx4PzUw/ZzabWV5+ns8//yF+v3dceT8LdrvzuGrW4s03\n1xbkfYEvBWc5zZyFTGaXZHIDl8toM4+CQUDHap0eWjVuGNlx0vA8nPSHN9roYdrtBp1OHU3T51SF\nJuQ9kZhszlW1Tz6/S61W5MaN35oi7wDC8dJTyxUN8m4/Ifu5hJxw3jyQQ3yOw81PWX1mtjKX3y/j\nsb8y/tnlCFCv5gnM6Sqcrn9IkoR+alDN6VyjVsvNeGaLokgkssxw2CcWG3D79qL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EAAAg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\nx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = 2\n", "b = 3\n", "\n", "z1 = 11\n", "N1 = 14\n", "z2 = 7\n", "N2 = 14\n", "\n", "prior = stats.beta(a, b).pdf(X) * stats.beta(a, b).pdf(Y)\n", "likelihood = bern2(X, Y, z1, z2, N1, N2)\n", "posterior = stats.beta(a + z1, b + N1 - z1).pdf(X) * stats.beta(a + z2, b + N2 - z2).pdf(Y)\n", "make_plots(X, Y, prior, likelihood, posterior)\n", "make_plots(X, Y, prior, likelihood, posterior, projection='3d')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Grid approximation" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def c2d(thetas1, thetas2, pdf):\n", " width1 = thetas1[1] - thetas1[0]\n", " width2 = thetas2[1] - thetas2[0]\n", " area = width1 * width2\n", " pmf = pdf * area\n", " pmf /= pmf.sum()\n", " return pmf" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HaaVbMYgRVXZhix6GhIRl1zIAIu3NXPfsFcsp3roFdcz5eFq1bkjVVXS/5DK0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TuP2Q88ENUebDYaDQHL3u+qt6WHdS+F/aYCAFrGV+mTihrpnZKie0IUF5+4J4HhJPgn4JdfcrHZ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\ntVuMomhEIuoRg08AWrdOZMSIl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01wwJ4E+CqVf+MI18Ho+vHLSrNlU3s2w8SdBXj2rVniNtudEn668lrMisOfAA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\nY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_prior = bern2(X, Y, 2, 8, 10, 10) + bern2(X, Y, 8, 2, 10, 10)\n", "prior_grid = c2d(thetas1, thetas2, _prior)\n", "_likelihood = bern2(X, Y, 1, 1, 2, 3)\n", "posterior_grid = _likelihood * prior_grid\n", "posterior_grid /= posterior_grid.sum()\n", "make_plots(X, Y, prior_grid, likelihood, posterior_grid)\n", "make_plots(X, Y, prior_grid, likelihood, posterior_grid, projection='3d')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Metropolis" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": true }, "outputs": [], "source": [ "a = 2\n", "b = 3\n", "\n", "z1 = 11\n", "N1 = 14\n", "z2 = 7\n", "N2 = 14\n", "\n", "prior = lambda theta1, theta2: stats.beta(a, b).pdf(theta1) * stats.beta(a, b).pdf(theta2)\n", "lik = partial(bern2, z1=z1, z2=z2, N1=N1, N2=N2)\n", "target = lambda theta1, theta2: prior(theta1, theta2) * lik(theta1, theta2)\n", "\n", "theta = np.array([0.5, 0.5])\n", "niters = 10000\n", "burnin = 500\n", "sigma = np.diag([0.2,0.2])\n", "\n", "thetas = np.zeros((niters-burnin, 2), np.float)\n", "for i in range(niters):\n", " new_theta = stats.multivariate_normal(theta, sigma).rvs()\n", " p = min(target(*new_theta)/target(*theta), 1)\n", " if np.random.rand() < p:\n", " theta = new_theta\n", " if i >= burnin:\n", " thetas[i-burnin] = theta" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8NdSB0w4T33MVKJjf5Jf5bj/8fCoUHxI2DNrb/HSy+2hjDRCrXLqBtBEy1HRC\nvMMPmP38dQO2B2RW+BSW+RSWehUmuK1McFuxY3Czzc8ddj+32v0XfWPRqRUs/iGdYd/a+WaqjY5P\nhjDgAS9P9/YiX0QDlSRJfPxxe7ZtO87YsRto0aIy3bvXvbjCCoJQYrndft55ZynffPMPsizx2GNN\neemlhHzPD5+aDgtXWli4ysJf6xT+O5ifCsp88mlRDK6pq9O1tY872/qJKXt+nR4WZuOnn+6gW7fJ\nTJy4iQYNonnkkSYFeYuCIBQD+/al8Pzz8wgJsfLaazeiquVo3rwSCxbsZvXqAwWa9rwkkQyj+Mz6\nkt3yyZs2JXPzzWPp3r0uI0felu1+Hi/c9ngIG3cofDnIRbd2+RsAmxSQ+L80OzO9Zkt4bSXAA04f\nd9l9RF3Gp615LSGsG7DeL5PotTDbY2Fr8OlBmGRwp91HX4ePxtYLa1XPnPfSvxWeGurgYLJM2+Z+\nvnzdRZmLnPghKekEt9wyDsMwWLSoL/HxZXLM/3ISS7OXPkW1PHtpXaI8c9579pyif//f2LgxmTp1\nyvLFF7fSuHGFPPcPBGDeCoWJv1uZv8KC12detmXCDa6tH6Bh7QA1KutUjjUoV8YgxGH+id0eiYAU\nyr9bXGzdpbByvcI/W2V0XcJmNejezseL/bxUjj3/I3HoUBpt2vzEqVNu5s6994KmtRT1S+lSVHUL\nFI/ruzjlPXduEi+8MI/Dh9P55JN23HtvQwBWrNhH166TiI+PZObMXhc9tq84xi7FvoV+6dL/AGjV\nqlqOaT4bb2PjDoU+nbz5CubdBnyUbmOky4YPiSaWAG/HKTRzZVzymWcuhCxBY6tOY6uXAaFeNL/M\nNI+FSW4rY902xrptNLEEeNTppYvdj+UC30PLJgEWfpvBE0McLFhpocOjofw0zEXtahfeBadGjSje\ne68NTz6ZyDPPzOGXX+5GlovhSRYE4ZJYvnwf/fr9xokTbvr0acD//d/NeU476fLA+NlWvvzZdqYl\nvm71AJ1b+2nfwk/D2noeTxANoqOhbrWzTz6PHJf4daGF76bbGD/bxvQFVl7o5+WpXuc+jaxQIYzP\nP+/APfdM59ln5zJnTm9RZwlCMZeUdILBg5eQmLgTi0Xm9ddb0rv32VmrEhIq8/zzzfn445V06zaF\nxx9vytVXxwKwe/dJNO0Y27YdJyPDR2iolaZN47jttlolajrbYt9C37//b8yatYM1ax6katXI8/ZJ\n2idxU7+FyEohAAAgAElEQVRQypUx+HN0OuF53HRt8Mk8mupgR0ChiqwzOMxDZ5ufmJjid6eZl4AB\nf3gVfnTbmOtVMJCoJus8E+Kll8OHNR/fQdnlHQjAu9/ZGD7OTplwgzFDXCRcHShw+U4zDIMHHpjB\nrFk7eO+9tvTvf3Wu+V8OogWt9BEt9Jff4sV7uffeaRiGwbBhbbjvvka5pg8E4OdEC8O+s3P4mIzD\nZtCjvY9+d/hoWLtgDQs5vW9dh8lzLbwzys6R4zKtrvXz1evu89Yoefzx2UydupUvvriVu++uV9C8\nRf1SiogW+qLL2zAMRo36m3feWYrPp5OQUIn332+b7XpFhmEwcOAivvtuXb7yUBSJ22+vw2uvtaRK\nlYhs87/ccqtbinVAbxgGjRp9DcD69Y9kO0Cp76tO5iyz8O1gF11vzr11/ieXlQFpdrxIPOT0MjDU\nc2aAaXH4YF6MpIDEVxk2JriteJCoKusMDPVwh91Pbo1LueU9MdHC8+87UBT4/m0X7VpceFB/+HAa\nN9wwGsMwWL68/5nHXcXxohCuTCKgv7wmT97MU08lEhJi5ccfu+b6lBVg/TaZFz90sE5TcNoNHurm\n5bG7fURH5f5nS9YldgckDuky6cGkTuCqck6iUtOIkbPf//gpeGaYk7nLLdSpFmDqJy5iy51Nu3dv\nCtdf/wMxMaGsWNG/QLPviPqldBEBfdHl/f336xgwYCGxsaEMHXoznTvXznMw++7dJ5k1awf79qUQ\nCBhUrRpBnTrluOqqckRE2Dl2zMWff+7lhx/WsXnzUcqUsfPDD1254YYq5+V/uZXYgP7AgVQaN/6G\n226ryejRt5+Xfs0mmY5PhNK8oZ/fPnfl2F1GN+DtdDsjXTaiJIOR4S7a2s8NTi/kj6OjkyankKqk\nkiGn4Zbc+CQvfsmPgY6EhGwoWA0bdsOOUw8hVA8jXI/AbpydprIwPxiHAhKfuWyMdlnxIXGNJcCw\nMDdNcuhjn1feC1cp9B/kxB+Ar9900+mmC1+g67vv1vHqqwu55576DB/eIV/5XyriC7f0EQH95TN1\n6haeeOJ3ypRxMGlStzOPtrPj98NHY2x8+pONQECiWzsfbzzqIS46+z/XoYBEotfCEq/CKr/CET33\nAU+VZZ1WNj9d7H5aWQMoma58w4A3R9r5apKNmlV0Zo1Ip2ymB8EDBy7k22/XFbiVXtQvpYsI6Ism\n75Ur/6Nly9FERtpJTOydbS+Oi2EYBuPGbeSVVxZgsynMnXsvtWuXPZN/cYtdinUf+tNLf+c0eOqj\n0ebsCK8+5M01mH8xzc5Pbhu1lQA/RbqofgGz1hgYJFsOc8C6l8OWgxy1HOGkchxdurD+5Q7dQVSg\nHGX95alOVZyWKKL9sShc3BzMFRSDoWEeHnF6GZpu5xePldtOhtDP4WNQqKfAi1a1uS7AxA9c9H7F\nySNvORgzxEXbhAtrqb///kaMHbueiRM38dBD19CwYcwFHUcQhOLrjz/28PTTcwgPtzNvXl+qVs25\nD+qR4xIPD3aw/F8LlWN1Pn7JRetm59cvfgN+91r40WXlT59yZkG/OFmng81PLUUnTtYJkwxkCdIN\niZN2B/+k+lnrkxnntjHObSNe1nk2xENPhx8luFr3W094UGQYMdHGY+84mfCeCyVYDT/2WFO++24d\nP/ywrsDdbgRBuLTGjFmPz6fzzjutCz2YB3O2vj59GhIaauXRR2fz0kvzmT69R7GdzrZYB/QbN5oB\nfYMG588ysGmnzIKVFhIa+bm+cfYBpmHAy8FgvpElwOTIjALNXhPAz25bEjvtGntsSbhl15nXrLqN\naH8skYEowvVIQvVQHLoTm2FHMSzISBgYBKQAPsmLR/LgktNJl9NIkVM4pZzgkOUAB6372cS/EAWK\nYSHOV4nKvmrEe2tQ3h+LdIEr0cYrBl9HuOnn9fFymp0f3Dbmei0MD3dzk61gAXmLqwOMe9dFr5ec\n9H/dyZRPMriuQcFvZCwWmTffvImePacxZMifTJx4V4GPIQhC8bVt2zEeeGAGsiwxduztNG1aMcdW\nrM07ZXq/4uRAskznVj4+eclNZJbYP2DAz24Ln2TY2RNsiW9u8dPV7ucWu5942cixMSc62kGy7CJg\nwBq/wkS3hSluK8+mOfnRHWBkuItaFnP/1x/1sH2PzNzlFj79ycYL93sBc376tm2rM3/+LjZvTqZe\nvYLPeCMIQuEzDIPp0zUiI+15rlF0se688yqmT9dITNzJzJnbi+1c9sU6oN+y5ShAttOGfT/NnCXh\nqXu8Oe7/mcvGGLeNBpYAUyIzKJPPYP6UfIL1zrVsdWzELbsBCA2EU8/ViIq+KlTwV6JMIOqCg+3T\nAgQ4oRzDXfYU211JHLTuY59tD/tse1gRuoSwQDg1PHWo46lLBX+lC8rveluABVEZfJph49MMG91P\nhfC408ugUE++Bs2eOU7jAD+846LPQCf3DXQye+SFrcLbunU1brihMgsXmvPBduyoFvgYgiAUP6mp\nHvr1+420NC9ffdWRFi0q55h25QaFPgOcnEqTeO1hD8/ce/5T1lU+mVdSHWwKKNgx6Ofw8rDTR21L\nwRoTFAmaWwM0twZ4OcTLW+l2pnmstD8Zyhfhbjra/cgyjHjNxU39Q/lkrI0urfzUiTfz6dWrPvPn\n7+LXX7eJgF4QiomtW49y8GAad92lXpaV6AcPvol585J4771ldOxY65LndyGKdUCvaccID7cRFxd2\nzva0DJi6wEqVCjptm2ff2pzoURiSbqeSrDMhwpWvYP64cozVIX+xzb4ZJAjRQ7km4zpqe+oS469w\n0QF8VgoK5QMxRFOTymnmHaZLymCvbTe7bTvZbdvB+pC1rA9ZS6Q/inruRtRzNyLEKNj8qXYJXgn1\n0sHm5/FUJ1+6bKz2KXwf4aIgX09tEwJ8+IKH59530PdVJ4lfZeQ5q1BWkiTxyivX07XrJD75ZKUI\n6AXhCjFgwEJ27DjB44835a67rsox3eqNMj1fcuL1mkF0j/bnjsvxGDAk3c4olxUDiZ52HwNDPcRl\n01XSI7k5aN3PceUoKcpJPJIHAKthI44YHLYIKvmqYDPM7plxisFXEW7au/08n+rggRQHX4W7ucPh\nJzIchv3PQ79BTt4YYWfiB+YT2bZtqxMSYmHGjG28+uoNhXW6BEG4CAsX7gLgxhurXpb8atSI4p57\n6vPTTxv59tt1DBrU6rLkWxD5CuhVVZWBIcD9QDiQCDypadqRHNJXAoYD7QEXMAV4QdM0d34L5vMF\n2LXrJI0axZzXX+m3RRYyXBJP3+M909cxs/0BiWdSnTgwGBvpynOlV4/kZhaLWRW1AkMyKO+Loakr\ngZoe9aL7tBeU0wihjqcedTz1CBBgr2032+yb2WnXWB62mJWhS6njqcc1GddRPlCwPuiNrTrzyqTz\nQpqD6R4rt5wMYWYkxBfgGPd28qHtlvlqko0nhzoY/X/uAs/dn5BQmYSESsyfv4v16w8TF5fLmuzC\nFa0o6hah8M2YsY3Jk7dwzTWxDBp0Y47pNu+UueeVEDxe+Hbw+YPs9wck+qc4WedXqKHoDA930dx6\nbqONR3Kz1b6R7Y6tHLTsI6d2lk0AkSAbMtW8NWnkakIVXzwSEnc5/MQrGfQ4FcLjqQ4iZBdtbAFu\nu9FPy6Z+Fq6ysOJfhYSrA4SGWrnppmokJu4kKekENWpEXeTZEi4XUb9cuebM2QlAy5bnBvReP8xc\na0HbLxPqgI5NfNSqcDYGTE6RSPzHwpItCkdOSSgytKgT4M7m56bLzsCBN/L77zsZNuwv+vS5mtDQ\nyxsf5iW/LfRvAX2BPsBx4EvMD/pNWROqqmoD5gP7gRZAeWAMEACeyW/B9u5NwefTqVmz7HmvTZln\ndrfp0d533muGAc+kOjhpSHwY5qZBHo9nd9t2sjAskXRSKROI4vr01tTw1in01vgLoaAQ761JvLcm\nnrR2aPZNrHf+zVbHRrY6NlLDU5vr0m8kOpDzDBJZhcnwVbibxpYAb6Xbab0bRoUrdLDnv1/9G496\n2LhdJvFPK19PCfBoj/P/Dnl56qlmrFixn08/XcF777Up8P7CFeOy1y1C4UpJ8TBw4CLsdoURI27L\ncXrHI8cl+rzqJCVNYuQg13nB/Aa/TO9TTg7rMj3tPt4NdxOaqRrOkNJZE7KcTc5/8Us+MCDOX5nK\n3qpnxjM5DAcg4ZU8GGXdbEtPYrdtB7vs29ll304Vbzw3pd1C2UB5mlh1JkZmcNfJEJ5IcbAgKoNK\nisErD3hYutbCiIk2Eq42W+nbtatOYuJO/vhjjwjoSxZRv1yBjh1zkZi4g7p1y1Ot2tnBsC4v9B/h\nZOHGs6Ht/021UycuQKNqOgdPSKzYrhDQz43v/txq4eOZNh5v7+XZTl4icmhjLF8+hDffvIlnnpnD\nPfdMZerUbgWazvZSyzOgV1XVivlhfkrTtIXBbb2AXaqqJmiatiLLLvcCsUBzTdNSgunfAB4vSMF2\n7z4FQHz8uSOXj52UWPavwrX1A1SNO/9u6mePhaU+C+1tfvo6cg40AwRYEbqEv0NWIhsyN9OWuiea\nXPYW+fyyGw4auZvS0N2E3badrAlZRpJ9O0m27aie+rRIb0W4HpH3gTBndng8xEdNReeR1BDuT3Ey\nPNxNT0f+pqS0WODL193c/GAI74yy07JJgHo1C9av9ZZbqlOjRhnGjdvAyy+3oFw5Z4H2F0q+oqpb\nhML10UcrOHw4nZdeakGtWuc3wIC5YNRjbzvYd1hmwIMeumdZ0fsfn0yPUyGkGvBWqJvHnL4zT/50\ndDY4/2Z5yBJ8spewQASNXDdwlbsBoUZYNrkBhBNNOOUyKtMi4yYOWw6yInQp/9mS+DlqNG1TO1LH\nU5dmVp13wjy8nObg6VQHUyNdXNdAp2m9AHOWWdh9QCK+onHmsf5ff+3lgQcaF9apEy4hUb9cuSZM\n2IjPp3PPPfXPbDMMeOxrBws3WriloZ/HO3g5eEJi5loLizdb2HbQjO0aVQvQPcFHu0Z+asQapLpg\n7noL706380WinbFLbDzY1sv9rXzEZbMGRs+e9fjjj91Mm6bRr99vjBrVibAw22V777nJzzDRxkAY\nsPj0Bk3T9gC7gZbZpG8PzDt9QQTTj9Y0LaEgBfvvPzOgz3z3BTBvuYKuS3RseX6wfkqHt9PshGDw\nXljOXUG8kocZkZP5O2QlZfxlufvE/dxMm2IbzGcmIVHdW4vuJ/vS9eTdlPfHoDk28VPZb1gdsowA\n+W9pb28PsCgeIiR4OtXJT67cl2PPLLacwfBX3Hh9Ek8OdeAr4PT0sizRr9/VeL0BJk7cVLCdhStF\nkdQtQuHZtesk3377D1WrRvL0081yTDd8nI0//7Fw240+nut77kQGm/0yd58KIc2AkeFuHg85G8yn\nyalMjxzPkrD5yMjclNqO+44/SlNXQi7B/Pli/XHcfupubk25HcmQmBPxK/861wBwv8NHe5ufP30W\nfvGYbVz3326W8edEs06Mj48kOjqENWsO5jtPociJ+uUK5PH4+eabfwgLs50T0C/erPD7P1Za1PHz\nw5MuWtYNcPf1fsY87WbLp2msHJbGrpGpzH8jg8fa+6hZwZzhKiIEuif4WfJ2OoO6ebDIBh/PsNPk\n5VC6f+Tk+4VW3JnCTUmS+PDDdnToUJN583bRvv04xo3bQGqqpwjOxrny0+Xm9FQF+7NsPwBU4Xx1\ngAWqqr6N+ZjLAKYBgzRNy/c73rvXvKaqVMka0JtF7nD9+YHr8AwbRw2Z10I9VMqh37xLyuCXyIkc\ntR6huqcW7VO7nBkwdSEkIxmFHSjGXmSOIBknkcgA/Jj3S050KQKDcuhUICBVJ0A1kC7ujk5Copqv\nBlVPVmerfQPLwhazInQJ2+1baJvakVh/XL6Oc50TppXJoMdJJy+k2bFLBj3y2VLfrkWAezt5GTfL\nxogJNp7tm/OMQ9np2bMeQ4b8yfjxG3niiabFdm5X4ZIpkrpFKDyffroSn09n0KAbcTiy/zrZukvm\no9E24qJ1Pn3l3IaWI7rEvaecnDIkPg930S1T3XPIcoBZEVPJUNKp6alD69QO500IoBjbsRmzsBqr\nUYytyBzDXDUkEo43wKlfi0e6C12KB6C2py7l/NH8EjmRJWHzcehOVE99/i/MzaLjobyXYaeL3U+X\nVn4GfGLwy0IrL/f3IkkSTZpUYM6cJA4fTic2toCzAQhFQdQvV6ChQ//i4ME0XnyxBZGR5gKdug5v\nTzbjuP/r5cGepW0yxA7VY86NCZNlP7sVLylygHi/jWp2G8909PJgWy/TVlj5aamVJZstLNlsYeQc\nG+/3ddOmgRl3hoXZmDmzN089NYtvv/2H556bx0svLaBZszg6dqzNnXeqxMRc/joiPwF9CKBrmpY1\ngvYAjmzSRwAPAbOB7kAlYAQQDfTLb8H27zcD+sqVz05M7PfD4rUWqsbp1Kp6bhePZF3iO5eNirLO\no87sA0u35GJ6mQkcsyTTwNWYVmntkfP1kCLIMFDYgM1YiNX4C6vxDzLZjq3Jsl/WXy0EqI1faoxP\naga+DmBUpsCjSzED+7qeRtTw1uGv0D/Y5FzHlDJjuS7jRppmJOTr/TWw6Ewq4+KukyE8k+ogSnJx\nSz771A9+3MO85RY+GmPj9jY+qlfK/1SWUVFO7ryzLhMnbmTNmoM0a1Yx3/sKV4QiqVuEwrFvXwqT\nJ2+hTp2ydO2a/bzMhgEvf2zH55d4/zkXUZl6BQYMeCTFwX5d5tXgYk9njm3dw4zIKQTwc2NaGxq7\nmp0d12QY2IzZhOjDsXK214ROFDoxgGwG9p6ZhDGTMAbjkW4nTR6MLtWkbKA8XU/dzdQy41gQPpto\nfyzxlKe3w8dot41pHgt3O/20be5nxmIr2/bIqPE6DRrEMGdOEps2JYuAvmQQ9csVZvr0rXz55Vpq\n1oxi8ODWZGSY91mTllnYuFehe4KPhtVy7v7rx2CRPY3fHKdYbzt3nHPZgEIPVxnuJJK+rXz0beXj\n4AmJUfNsfDPfSp/PnEx7yUVCbfPjZLHIvPNOax57rCkTJmxkwYJdrFixn+XL9/PBB8t5++1W3HNP\n/cvaUJmfgN4FyKqqypqmZT5TdiA9m/Q+4BjQV9M0A/g7ONhkkqqqz2madiKnjKKiQrBYzG4vycku\nZFmiYcM4LBYzKF35L6SkQa/bJGJizl2B5KPDZkE/iJGoUvb8lQl9+PiR8RwjmWZcR2dnVyTnuSc6\nOjqHFQ39WyHje3BNBH3v2e1KVbB0BYsKSnVQKoBUFqRQkCyADkYG6KdAT4bAfggkIfm3YPFvwGJs\nwWFMgKMQLVcEW0dwdAN7W5Dy3/3FFE5PerCTJkyXprAidAlHQvfTg56EkvuXT3R0OG2AxEhoswce\nTg1hSTloko9u7dHRMHwg3PMiDP02jF++KFip77uvERMnbmT27J1iCsvS57LVLXBu/XK55Vi3lOD8\n3313GX6/zsCBLYmNzX78zuREWLHewu1toM8d5440G5oMy3xwZzgMqWxHkswWtv/4j5lMwUCnF72p\nG1bP7DgB4NsCKY+Cd6n5u/1WcPQCe1tkuRJy5i/PwCHw/A4ZX2H3/Yo98DtEjoCQh4gmnG50ZwLj\n+KPs7zzEowyOVBizA8b4nDxZBbp1gBmLYeXGUG5sBgkJVYAV7NuXWuR/TyFfiiR2KQpF+Xm81Hkb\nhsHmzcmMGrWWzz9fRViYjWnTehIaaiM01IbPDx/PArsVPn7YSnT0ubGTjsFWXCzgFL9wjIP4kIDm\nhHEtYYSjsA0Xc5STjAo7xu9haXxMPPUIIToaRtSB7i2h3Rvw0JchrPkYqkSffe/R0eE0bmw2Rh46\nlMb48RsYPPgPnn12Ln6/wQsvXH9Jz09m+QnoT0ewcZz76Koi5z/KIrjNFbwgTtuMOblYPJDjRXHi\nRMaZ///33ymio0M4ceLsdTfrDxtgp2ldF8nJZ1tzUnUYcTyMaMmgqz+d5ORzj2tgMD98Fnsd/1HH\nXY/mqTdzlLRz0kRHh5+7oqFhYDWWEGJ8jM1YBIBOJF6pJ16pPT7pRnQpzhz/XrCFV02yjsJ2rMYK\nwm3L0d1zkF3fgutbdMrhlrrjlvsRkOrnfaxMIoihp9Sf+eGzSLLvYGTgCzqd6pbjTDiZ33dN4Mtw\nC/1THHTeYzAvKoMYOe8W9zbXQournfy60MIvczO44Zr8n5B27WpSrpyTSZM2MWjQDShKAZ6YXATx\nhVwsXLa6Bc6tXy6n8+qWKyB/t9vP99//Q3R0CLfcEp/t8QMBeOOLcCyKwasPppOcfPbPttMv8daJ\nUCrIBu/a0jlqriFIinyKSVFj8Ut+OqXcRXlvFZIxj23XxxOuP4eEC4/UiXT5DQKBumZolg6cV6dX\nIDm9OxjdsMvTCNOfRz71MOkpGhnKG5SnCmp4fTTHJpakLqOBuzFtbU7muy0sO5hOE9UAwpjzp5/7\nOruoWNFsGFm79kCe51PUL8VCkcQul1tR1i+FnbdhGCQlneSPP3azYcMRtm07TlLSCY4fN1vTa9WK\nYtSoTmemuk5OTmX0H1Z2H3HwYBsvDjxn4r/1FhezHSkss6dzSjbv55y6xB2eSO7OsBFhn4XH+jd+\nZR/XBarTx3s9PyvXMcmZSm+28XZKBVp4zWu+QRy808vKwPEOOr8d4LdXMqhW+fz3rijQt28DWrWq\nwq23juftt5dw111qoQ6aza1uyU/09C9mTXlmFn1VVeMxP+BLskm/FGisqmrm29WGmJ3Kd+cjPwzD\n4PDhNCpUOHfQ0+pNwaW/G54bME72WEkzJB50+nBk83Rjk+Nftjo2EuuLo21qxzynpFSM9UTqXSij\nd8FmLMIrteSUPJpjynZSlW/wyD3MYP5iSDIBScUt3w9R4zim7OCEMpcM6TFAJsQYRdlACyL9HbHp\nieaz63xyGE46pXQjIb0lqUoKU6N+Yo81KV/7drT7GRjq5aAu80iKA38+spUks+sNwFtf2gtSVCwW\nmY4da5GcnMHKldnVscIV7LLXLULhmDs3iZMnPfTsWQ+bLfuWydlLLWxNgh7t/eetKv1amgMvEkPC\nPEQFv4V0dBIjfsElZ3BT2i1U955dzj1EH0aE/hgGVk7JY0lRJhCQ6uavsJKER+7GCWURfmoSanyI\nQx8FwA3pN2MxLGcmFOhuN0e/TfdYqFDeoFpFnVUbFHTdHBirKBI7duR63ygUH6J+KSFcLh9ff/03\nrVqNoUWLH3j11UWMH7+Jf/45RGSkgzvuUPn881tZuLAvDRueXX/H7YOPZ9pw2gye7Wx2tT4pBXg9\n4iBPR+3nd2cqFkPiNlc4r6fEMu1YVR72/4kU1ZNTYcNx25cSUA7hsi/EFf5/dLcMZliqHQl4LeIg\na61nb9QebOOjT0sv6/co3DvcybZcwpWqVSN58MFrSEnxMHnylkt01s6XZwu9pmleVVVHAh+qqnoM\nSMbsV7ZI07RVwamhygLHNU3zAV8BTwFjgoNLqgDvA6PzeiR+WmqqF7c7cE4/RcOAtZsVKkbrVMw0\nuMEwYKzLigWDe53nz3xzQjnG0rD52HUHHVPuxJLbWzZchOpDcBpfIKHjkdqTIb+KX2qan2JfHEnB\nTwJ+JYF0Ywg2Yw5O4xtsxiJs+p/4uJoM+TW8Uod89bWXkGiWcQNR/vLMjZjBzMgp3JLaCdWTd4v/\nM04v//hkZnutfJhhY0Bo3oNdr6mr07W1j9/+sDJnmcKtN+S/lb5z59qMHbuB2bN3cP312Y1VEq5E\nRVG3CIVj+vStAHTrlnNQPWqK+ej76d7njif8y6uw0GehpdVPZ9vZJ61rQ1Zw2HqQOu56NHQ3ObM9\nRB9GqD6MAPGcVKajSzXPzUjXsSStwbrlT5Rj+8Aw0CNjoEUHiGkEilnn61INTim/ERVoTZg+AL90\nDaH6ddRzN2K982922jXa6/WwYjDXa+HlUC9N6waYtsDK7gMSNSorVKoUwZ49py7q3AmXh6hfSob5\n85MYMGAh//2XgtVqNvC1a1eda6+tSPXqZXJsMAAYNdfGwRMyT93qITbS4JQU4Nky+9ll8dLA5+Dh\n9HI08jkADy7HHFKifsZv2YlkOIlIf4RQ1x3IRln8yl5OhY7Abf+D6vLLfJAynOcjUngj4hCjTlam\ncsCGJMG7fTwcTZVIXGelwdPQuYmDB9r4aF77/Hind+/6vPfeMn77TaN//6sv4Rk8K7/9GwYB44Cx\nwAJgF9Aj+Nr1mKPGWwAEV2C7CfNCWQv8BEwGnshvoY4cMbvZREef7XN5IFki+bjMNXXPPXEb/TKb\nAgrtbH5is3QPMfh/9s47TIoq+9/vrarO3ZNnyDkMQZJkAwKCoIugsAbEsKY1u+qqu+7quua8rn6N\na9ZVQTEiKCAoIIIISIYh54EZJvV07qq6vz+qJ8EkXMTZ/fX7PD5q9a3Y06fOPfecz5HM881CFzoj\ny8firU+nXd9MujECt3wWk3aUKh/jV6cfH2f+cISNmDKOMvUzitXFRMQkNNaQap5PqjkBVTZe5rFz\nLJcJZRegSRtzfDPY6Fjb8OkFPOOL0FYx+WfIzrJ44/5M7rg8hhCSp946uij9ySe3weez89VX25FH\ns2OS/wWOq21J8p8TCsWZN28HXbpk0KNHVq1j8nYqLFurMeYU6Ny25m/6HyFr+fluT7QyNuFXyvjR\nvRiP4eW0wOjKVVSH+XE1Z35WTWc+HsX59atk3NaL9PtG4f3g77jmvYpr/mt4PnkE7hxOxm29cCx6\n15LBAEzRBr/yJgIDr3E7SJM+4QEArHOuwqvAUJvBGl2l0BT06mq9b9ZtsZyKdu1SKCgIEokcpU5v\nkl+LpH1pokgpee65H5ky5VPy8wPccMMA1qy5hjffHM+UKb3Izc2s15nfVQBPf2En02tyy29iSCSP\n+A6yQ4sxMZTKc6Wt6CF3Uer7O/lZYynxPYyu7sQd+Q3Ni6eTWngO3sXvk/reRaQs+JTsfbfiDZ2P\nrpSIeaMAACAASURBVG2njeN5bi/PIaCYPOA7iJ5QNrFr8NaNEV6/Pkyn5vDJMhtnP+rmnqkOoofF\nk1u08DFgQAuWLNnH/v3HJyWqUZ1iE1XidyT+OfyzBVBTwD0vL28TcObPvahDh6xljqysKod+dZ51\nir65NSuYP4xaUaDamiJtdK4h37aPzpFudI51q/N8NnMuHPodGuWExZUElIdA1NEq7DhjiF6Uq28Q\nknfgMf+GQ84h3TiFsLiJoHIXiIYrV1vF23Bu2WQ+TZ3K176ZqKh0jfaod59UBZ7zRZhQ5uKmchff\npAdxN7AwkNveZNwwSxliwXKV4QMbF6W321WGD2/HjBlb2Lq1hC5dam9Ok+R/j+NtW5L853z//R4i\nEYMxYzrWqeDw8dfWq+Xyc2tu36ArLEpE5/vZqmz5Us9CDGFwUnA4TmnZNEVux2fegImXMvVDTNG6\ncrx6YCspz16Ktmcd0u4iPOxiYn3OwGjeGYSCemgXqRvnoXz9Nin/uo7osk/x3/Q22F3ElVOJyAtw\nymk45DTSjMm0jLVmn303AaWck212FsY1lsZVune0rnHjDoXxI6yXNEB+foAOHdKO2TNN8suQtC9N\nl+efX8799y+ieXMP//73OfTuXXfHeykhEIHysKAoINiwV+GfMyEUEzx2SYQUNyy1h1jiCNE/5uLG\nYCal3icJuqYDoBqtcUdG44mci2Y2w7ZjESnvX4QSsVbbHJtm4v7uaeTNPxBtuY6Q8ytGRM5mRaQ1\nc50B/uUp4vqgFbwQAsb11/ndGJixOMTt7zh4ea6dHQUKb98YRqkW/7zwwp4sX57Pu++u4447hv5y\nDzPB8alAPEoOHbLabVd36NdttS61V7WlDSnhi6hGipCMstd06GMiyhLPQjRp49TgyDrP5TCnkWpe\nADKOX3mVgPp0k3Hmq2OIHvjV6ZQpH2LSGrf8J+nGMDT5U6P2z9Gbc07Zhdilg7m+L9ht29HgPkPs\nBte64uwwFJ4KNq6o4+YpVnrOix8cXRHIyJHtAfj2251HtV+SJEmOL999Z9UaDh/evs4xsxZpOO2S\ncafV3P5+xArAXFEtPdKvlLLZsYFMPbsqJVBKfOYfEQQJKE9jiCoFLG3zD6TdOwJtzzrCw39H0T/W\nErj6BWKDzsFoewJGmx7E+p0Jf3iZ4idWEjthBI5Vs0l98jyIWcV1QeVvSGy4zadBSjrFrOPvtm9n\noM16x6yKK3RNSOBt32O9fyrSQAsLf70iyCRJ/tvZu9fPE08sITvbzezZFx3hzG89IHh2lp0pz7gY\ndJeHttd66XSjj753eDn9Pg83veZiZwFce0aM84davt8MpyV1fm0wi5BrKkHXdDS9I1mlz1gR+dC1\naEYOzhVvkfrOREQ8RGD0/RT/YSXhgVeihIpwrXiXtMAfAQi4PuS2QA5tdBvT3KUstdcURhIChuYa\nzLknxLAeOnNWazz+eU2/Z+LEbqSkOHjjjdWEw0emhB9rmqRDX1RkOfQZGVVSsRu2WZfao1NVVGed\nrrDXVBht17EfFiha5VpOSAlyYmhwnak2DnM6PvP3SLyQOYeocv6xuwnTOKpC1sYSU8ZQrC4lJK5F\nI480YxRO86VGnStHb844/yQEglkpn1CkFja4z52eKG0VkxfCdjbqDf+59Mk1GdpH55tlGlt2Nf7P\n67TT2gGwYMHuRu+TJEmS48+yZfvRNIUBA2oXBtiVL8jbqTJ8oI6nWmzElPBxRCNDmIyuFoBZ6/oJ\nKSQnhgZXptrY5Hzsch4xMYKoqLLL6v7NpD51HiIaxH/NSwSufBaZWlUkdzhmZmvKbvuAaP9x2Dcu\nxPPJo9Z20YaomIDGJjR+pF2sIwC7bTvprVkO/RpdpWW2xGGX7Nxv2bKKNNDCwtpUD5MkSdIY/v3v\ntYTDOnfffUrlqhdAKAr3TnNwyt0eHvzIwdw1GoEw9GhjMrq3zqQhca4cGePuSVE2vQD3X2Cl7cWR\n/GAP0kG309nQKfO8iGJkkl32LM74EMuuxEJ4v7gN32c3IVU7ZRdPJ3zqLRiZnQmOuhepqDg2foFd\n74lN70zEvgiX1PlbeXNsEh7yHWSvcmQ9occBr1wTpm2WyT9mOJi5sirxxeu1c/nlfTh0KMS0aRt+\n8efaqJSb401JieXQZ2ZWpZPk7VRJT5E0y6xyXOfEEl1ja4nOr3L9iNN00S80qNZz2My5CWfeZxVK\n2U8Fji7PSSnYiS1vMdquNWj7NqEc2o3iL0KE/QhpIoUAuxvTl4mZ3gIjpwN6m57o7fsS7zQAnD+z\nOYnwEFQfJ2aOJcW8Cp95JzaxgnLl/0DU1i+jilbxtowuH8dXKZ/xRep02nJjveM9Ah7xRpjid3N3\nwMH01HCDNblXnhtnyWqNNz+z8dDNjWuw17p1Ch06pLFkyV503azsPZAkSZKmg2GYrF9fSNeuGbjd\ntffKWLzSymI4bYABVI35SVcolAoXOWOVARgTkzzHehymg87RqrRIt/kkAEHlvioRgHiUlGemoIRK\n8V/zEtFTLmrcRdsc+K99hYy7huCa9QyRob/FaHsCUXEeTjkdh/kpacZDuEw3B2z7SFGghWKyxVBQ\nFGiRLdlbYF1Derr1TiopidR3xiRJktTDhg2WTu2oUR0rt0kJlzzrYtEmjfY5JneMjzC8p0F2Su3B\nyuxsR6VE5Q4tRlxAr7iTqG05iBieyARU0xKMF+FS0l8ahlqyE73ZCZRNmYaZViXAIZ2pgAChIBDY\n4z2Ja1vR1T101TtxayCHx30F3JWazwulrfHJmrn96V5456YwYx9y84fXnZzQJki7bOu6r7qqHy++\nuIKXX17JZZf1/kUbTTVJr6nCWKalWc5pNAY79gm6tDNqOJPzYxoKkuGHOfTrnauJKhH6hgdg58jU\nD1VuIcW8AlApUz9EF30bfW3q3o14pv6N9Nv7kvnH3qT86zrcs1/Evu4blGAZZmYr9C6DiHU/lXjX\noegtuoA00bYtx7l4Kt6p95D26NlkXduG1AfH4vriadi/7egfEhBXRlKifkecATjlNNKM8QhZ3OB+\nXaLdGRg8Cb9axkd8iDy8le1hjHYYnG7XWRTXmBdruHnGmafqZGeYfDjHRuQoGmafckobystjrF/f\n8MpBkiRJjj+7dpURDuv06JFd55gVGywbMegweeFFiQDMSHvV9gItn6AaoFM0t1KBTJWbsbOYmBhR\nwza75ryEtj+P8OlXNd6Zr8DpIfC7pxCmURmlj4mRSFzY5TwEgpx4C8pVP2ERppNqst9UiEhokWVy\nqESg65CaajW/8vuPwrAlSZKkBuGw5bN5vVUT/mVbVRZt0hjWQ+fbvwc5b6hepzN/OLtUK3LeUbdj\nKlZevGZUdZ637VmGWrKTaI8JlFw9t4YzD6DtX4kwdYyM9gAoMhUAU1i9LX4TSeG8UCq7tTjXp+1l\np3pkpL57a5NHp0TwhwW3vOGsTJpo1szDuHFd2LathFWrDjbqfn4uTTJCX1ZW06HftV/BNAWd21Sl\n25SbsFJX6KeZpFWblpiYrHYtR5M2eoVP5AhkmBTjEhTK8Csvo4tGFCpIiW3t17g/fwp73vfWJoeH\naP9xxLufSrxTf/TWPcDprfsYehz10C7U3euwbVuBbdN32DYvsY437V7Sug4hPOJ3RAdPApuj4Wuq\nuF/RklJ1Jj7zOpzyY9KMsyhTP8UUzevdb3DoVA7a8tli30wz14/0C9e+klHBPZ4o82MqDwQdjLSH\nUOqZZNo0OP8Mneen2pnzvcb4EY1ThBg8uBXvvLOWpUv30adP3QUySZIk+XXYssUKGOTmZtY5Zu0W\nFbtN0q1DTQGDH3XL0R9sq3Lod9mtWp72sSr1GodpFbJFxMVVO0cCuD9/EtObTvC8e37Wtcd6jybe\nrg/2lTMR5UVIXyZxMQS7/AYhD5FpZLOLbRRrhbRR0yEO+wxBVppESkFRmcDnswJESYc+SZKfT06O\nlbq2f3+ATp3SAfhiheWO3jAmhrvxLhAAOzTr99jSsKFipeDFte2Q+JlKxTq2UrITtXQ3Rk5NuV3H\n6mkARE+YaI3HcthFtYDwtcEsFATT3KVcnr6bUfg5W/PQS3dWpgpeeLLOrJU6s1drLNyocloPy9ZN\nmNCVjz/exOzZ2+jXr37f7D+hSUboS0utbyE11XLod+yzHlb15iRL4yoGgtMOi87vsm+nXPXTLdKz\nUi2hOh7zPjQ2EBZXEVUmN3gt2s7VpD04lrQnJmHP+55Yr5GU3fwOh17Yjv+W9wiPuQ6986D6nXkA\nzYbRvDOxQecQnPwApfd9Q9Hz2/Ff/QL0G4W25QdSXr6WjFtPwDXzGYgeRdGVcFGuvE5IXIPGBlKN\nsxCy/pmgQDDaPw4PHr73LGgwn76HZvJbh85GQ+WLWMPzwAvGWgUgH86pfVm+NgYNsmbUy5fvb/Q+\nSZIkOX7s3m1Fv9q3T631cylh216Fjq1NbIeZiY26QjPFrCEvfMBmdWdpGa+KmNnlPCQqMXFG5Tbn\n0o9RQmWER1+D9KT/vIsXguiQiQjTwL56NgBxLFliTa4hzbCOW6aU0izRWbLAVEhLRAnLykVlmlFF\nhDFJkiRHT//+Vv3NokVVNXMVQcJU99HVHgaEwVeOcjymQi/dhSPeD8VMJ+j8HFNY9ire8TQifS7A\nlr+a9OeHkPLv83Cs+QARKsK+8Qtcy17B9GQR63R64qhW8EFSFXzQEFwfzOLBsuZ00h3MoZSb0vdx\nQ9o+ChXLHggBN4y1JgOfLasygBX3W5Fq9EvRJB368nLrgaSkWLOjioKk9i2rIj61RXvAkqoE6Bk5\nMo1Gk8twyRfR6URAebD+i9BjuKc/QNrfTsO2eQnRE8+i+MHvKLvzU2IDJ4C9YbnIhpC+TKLDLoZH\n5lL85GpCZ92MiIXxTr2HjNv74lzwTqV+coMIhaDyOCHxBzS2kmacg5D198JwSw8TOBdTGMzzfYlJ\n/ef6ozuKguSfIXuDNbjdOpj07Gwwf5lKWSNLE9q1SyUry8XKlQcat0OSJEmOK/n51hJ09UK26pQF\noDwoaNu8poGISNhrKnRVa9qYIrUQn5GCSyaqZ2UMjVXo9EGKqkmD/adZ1nEaSLUp27Gd0m1b6vw8\n1msUALaNiwFLPQxAZTM+wxJPCKh+MoV1/UVSkJIodfIHwem0XtJJHfokSX4+o0d3RAj44IOqQtGO\nzSzbsHBjwwHDMmHwPX7ecRdzXdpeilSDcyKpuKWCwIEvdDFSCXAo9Q5MUQ6KSvmkVyib8gF68z7Y\nt84jZfpVZD7WiZQPLkNqLsoufBc0y+fUDCuKHrOtOuLcp8a8vFLamrfpwslRD+ttEW5K20u+YgUx\nB3Y2cNoka3dXpSdnZ7ux2ZRfvJi+iTr0UZxOFZvNeiB7DliX2aZ51ctgeVxFIOmvVTn0ERFhh30r\nmXo22fphKRvSwGvchkASUJ+rV5pSlB4k7aGz8Hz2BGZma0rv/BT/rVMx2vU+hndZEzOnPcHJD1L8\n9DqC429HCfnxvXoDaQ+MRt2X17iDCEFQuZ+wuBqN9aQYF4Gsv8trN7rTNdKDg7b9rHWurHdsR00y\n3qGzTlf5Nt5wLv2E4TpxXfDV4sZldgkh6NOnGXv2+Ct7ESRJkqTpUFxcISlce0CjoCgh75hZ03Hf\nb1jht1bVovM6cYJqgFSjKuKusg1BHF30qtpZSmybl2BktcPMaV/reaWUrHjmKd4d0o/3hvZn3k3X\nEgse+fI0WndH2pxou60Ge4awVgZUuR+Xab0TwiJMauI6/Sa4XdZ/hyICh8Oye7FY4zthJ0mSpCZt\n2qQwalQHli/PZ+XKfAAmDo7jdUr+9bWNAyV15/QeUOKcn7mTq9jGq55i9qpxzg2ncmWwqn+NN3wR\nrshoYrbVFKRdTkyzOlvHcsdSeu0CSq5dSGDUvehtBoFQMDI74/n2MRyrp4IRxx0di5Auyl3vYYgj\nA6MCwQC8PORvzuXBDPJVnSd8BQCoCngcklA110vXTeJxs95GWceCJurQx/D5qpKo9hywvtw2LSzD\nakpYpat0UU1Sqt3BdkcepjDpGulRmdNUgUNOxcYaIuIC4uLkOs+t7t1I+r3DsW1dRmTobyl5+Hvi\nverWsT/WSE8aofP+RvETK4gMnoht64+k33MKri+fa5wMphAElCeIignYWYzXvLXB/U4NnI7DdLDU\ns4iwqN+RvsFl/ZX+K9ywzvy406wZ66xFjS/VqMidX7OmoNH7JEmS5PgQCFi/aa+39t9/ecJ8pPpq\n2pxiadnjzGoOfVixBnvMqnRFRVrpdqZoW7lNBEtQAiXobepuhrf+jVf54aH7cGfnkNGtO3nT3mPB\n/fcfOVDVMLLaoBZZWvoSywkQlGKX1jsnLmJUTFfCCByJW43HQVWtF46uN3LlNEmSJLVy9dVWjeM7\n71iTa58Lbh8f5ZBf4YJ/uiitI5i9wRYhIiQn4uHvZc35rKgDtwSyUav5fAKFjPL78IUuRdf2UJB2\nJeWuqYkPBUbzEwgP+yPhgVcg9Ci2/FXYt80n5aPfk/bKKOx7t+ALXo6pFlGc8vcaqTfVEQh+F8qg\nV9zJSluYQkVHSvCHBSnVYh4V/kzXrnXXHh0LmqRDHwjE8Hiqcq/3FSg47ZLMVOtlsN0QBKSgj1bT\nqG6zbwYsFZcayBge8xEkDoLK3+o8r7pnPWkP/wa1eB+B8+6l/LrXkK7aNex/acyMVpTf+CZlt7yP\ndKXgfe8vpDx7MSLsb3hnoeBXXiZOP1zyHZzy7XqHu6WHwaFTiSlRlnm+q3dsH5vJQM1gXkxjp1G/\n/FLntpJObUwWLNeI1r9QUEmvXlZBy7p1SYc+SZKmRkVkuiJSfTiRqGUTHIf5+6GEQ+8RVQ59TFhG\nwSarBiuUAmBSlW6jlFn1PWZq3YXyO+d+BcC5X8zht3MWoDqdbJ8zp9ax0peJCFjFvRIrn0YQQE3k\nzepCx1ahlClBU61rjhugqtYHhnHse4wkSfL/E8OGtaV1ax+ff76ZeNyyK9edEeeKkTE27lUZ+XcP\n89ceaWdCwvL7xpDGiJiXFFm7LRKopAZvIKv0GRSZQpn3aYKOWVUDTBPX988DUHrppxT94Scrz37/\nT6T963Ryvg3jjJ5E1L6Ucvcb9d7LaVEvUsBPtjBFAUHcEOSkVvmnM2daaYCnntq2rkMcE5qkQx8M\nxvF4qoz8/kJBi2xZKVm5NpE/37tauo1OnD32XWToWaSaNVtyO+U0VHYTFldgippyRZUc3EXaYxNQ\nyg9RfsWzhMf/kQYF148Dsf6/ofjhJcS6D8OxfAZp95+BcmhPwzsKN371HUzS8Jq3o8r6mxqcEO5H\nmp7OOucqypT6c+8vS0Tp3w03XPA6eqhOKCL4fnXjlpp69rTk8DZsSEpXJkny/wO1W9latip1v65k\notbIkZqKarejqFrltsaeMUmSJMcPRRGMGdOJ8vIYy5ZZK3NCwMOTo9w+PsqBMsGF/3Rz+fNODpZW\n/Wb7xK3Q91oal5brjA8hu/RlhOmlxPcohmL5Fo51H2HLX02k93nEO4/EzOxE+aRXKL3sM6QnC9/M\nO2k9MwfVaIHf/SpRbW2d5+igW/7qPjXGvqJEemGGNemPRHTee28dmZkuxozpWOcxjgVNzqGXUhIM\nxiqXdGNxOFSi0DK7yjhvSHQs7VEtQr/PtgdD6DXkzxIHxGU+h0QjrNxc6zlFuBzuHYdSVkD5pU8Q\nGfG7Y3tT/yEyNYeyP31KaPQ1aHs3kHb/aNT9mxvczxRtKVdeQhDFZ/y+3nx6FZXBoWGYwuRH9/f1\nHvdsh06KkHwQtdFQoGrEIKt4bOHyxqXdtG2bitttY+PGokaNT5IkyfGjouFbPF67s2yzJaLZh9WM\nOhLv40g1e6FJKyAQF1Ut0atHzCswPVaARimv2ybk9O0HwKcTzmTmlPOIBwO0OLEW2WJAhMqqrbxG\nEud1YSaW1VVUKi7fJsBIrERqKpimdQNKfbq9SZIkaRQVAbx9+6qUMxQF7pwQY+49IQZ11pm50saI\n+9ws3WIFBVsZNlJMhZU0vsDUZrTFGz4PRJS4ugv0GJ659yJVO8GRd1O6fSuL77mLD0cNY+4Ln7B1\nxL8wUlrhnf8kOVumgJD1RukrVgmCwqTQb9mG5mmWrZg1ayvFxREmT+6Jw/HLKsU3OYc+ErFykNxu\n68YLiq2HU71D7CbDenjdqzn0e+w7AWgT61DjeDa5CI2NRMUETNGq1nN637oNdq4jPPr3REZfc8zu\n5ZiiagQvfYLAhQ+gluwn7eGzUPPrVnOoIKacRVhcgo01uOXT9Y7tHM0lQ89ik3Md/kRzhtpwCZjg\niJNvKixuoDh2SG8Du02ycEXjIvSKIsjNzWDbtpJknmqSJE2MCtnGYDBe6+e+hNaAP1DT4U1LpNqU\nyKrtroSscPW6nYr+GarcV7lNpuYg7e567V3/W+6g0/hzKd60kd3z5pJ1Qm+G15ZDLyVK0V7MdEtG\nriLFR5JSObGwSTvhxOvGgRVUAqu/RkWqTUXqTZIkSX4+Fb8nwzjyXd+zjcnnfwpz/wURSgKCi59x\nseeQQEHQO+5iP7FKZZnGIEVFd2cD54o3UMv2Eh54JSWlJh+deTqrX36eQ+vWsOGdN/nwvIvIH/RX\nhBEnbf6X2OO9iTgWoyv1K/CZQHHC9qV7rHubM8dqHHreeXXXAB0rmpxDHwpZsZGKF0dhwqHPqebQ\nbzYUMoVJVrUCq722XShSpWW8ptPulNasKqz8vtbzOZZ+hHPxNMgdROCiR37WNZuGQfGmjeR9OJXl\n/3icRXfdzje33cTCP93G0ofvZ/3bb7B/6ffEa1FdOFrCv/kD5Zc+iVJWQOpjE1CK9zW4T1B5GIPm\nuM0nUeT2OscpKJwYGowUktWuH+s95iSH9T19Gq1/xulywIndDdZtVRotX9m5cwaxmFGpeZ0kSZKm\nQUaG5YRXqN0cTnZimbkiEFNBq4Su+36z6pVjlw6cppMytbRym04XJKJmiqAQxDsPRNu7AVFHlF5z\nuTjjlTeZ9OU8zv7wMybN/obUNkemVyoFO1DCfvQ2Pa3/T0wcTNGyskjXabooT0w8UhRJKOEHuJyy\nsobgl1arSJLk/weWLt0LQN++tTdbUhS49ow4j18cxR8W/HOWlbkxIGbZoR/tjUu7kUQJOb9CMVNw\nlrTCM+8hTGcq/kE3MvPi84mWlHDSfQ9z9Y58ht5zP3ooxNIZyzFSW2Pf+jXOyBAA4trWWo9fnNCh\nT5cqoZhlO7xOyxauWnWQ1FQH3br9sgWx0AQ7xYbD1oyrQu+3MCFflJWeWMqVsNsQnFgtOh8TUQ5p\nBTTXW6FRldctpB+HnIlOF3SGHHEuESjG+/btSLsbcee/QWt8EyRpmuxd+C15H05l9/y5RIoaThER\nqkqz/gNpf8aZdP3t+Xhb1r5i0BCR0b9HRAJ4P/g7qU+dT8k9s+ttbCVFKkHlEVLMy/Ga9+BX361z\nbNdoD5YYC9jgXMvg4DDs1K5mMdhmkC1MvoxqPOGNUl/Aamgfg6VrNJavVzl9SMNyb507W8oT27eX\n0LHjz2wikyRJkmNOs2ZWSsyBA4FaP89IkTjtkr0Ha8aKvApkCZOtes3t6UYWB7R9xIhZtkZ4MOiG\njRUgoyAs5ZlY71HYNyzAsfQjIqNrD84IIWjWf2C9129f/y0A8S6DAdCwJIENOhJQrIiD1/RSZFoG\nLU1IyoOJF7QLIgHrxV3xfkqSJMnPo7Q0wqxZW2nTJqVBZ/eiU+M8/LGdRRs1IMqQmAc4xDxHOeMj\ntTe5q065axqmUoIvdCm+mX9FiZRSftbjrH5vOqVbt9Drqmvoe92NAPS5/iZ+eOxBCteuRu9zAo7N\nX6FEAB9A7SsC6zVr1t9et7Ox2ooewIEDQTp1Skcch5rMJhehr2jYURGhP5Rw6LPTLAd+jykwEHSo\n1qDkoJaPFJIWh0Xn7fJLBBGiynm1Fri6P30MpbyI4MS7oFWXRl2flJJtMz5l6rDBzDj/HDZ/OBXV\nZif3/Mmc+sgTjJv6MefPX8zk71dwwYKlnPPZl4x89kX6XHsjOX37ceDHH1j64L28c2JPvvzdFA6u\nXH70DwkIj7uV8Mgr0XavxffqjQ1KU0bFROIMwSFnoMkldY5TUekZ6UtMibLZWXchrSpgrEOnSCr8\n2EDazaATLCf+x/WNi2p17GjlzG7fXtrAyCRJkhxP2ra1cs937ap99UxRoEMrk217lCN64nXXTHaZ\nCv5q25vHWyKF5KCtqjt0TIxAEMYmF1Vui5wyGanacH/1POiNlMyqBcePn1nn6DsWAE3+BIAuelOm\nWmIAKUYaBQmHPkeRlJUnnHufJBSy3tYV76ckSZL8PF5/fRXhsM4VV/Rt0NlVFeja0mRngUJchxam\njUF4WWWP8IOt/swHkxDl7jdRzFQy1nXEuf4T4m0GER54NWv+9QKO1DQG/emvleOlaSKEQOpVwUdD\ntbTyVfPIlYQDSpzZznJsEvrH3FRkCleoY+m6ic12fFztJufQV7TUdrms6U1RmXWJmYkCg11Gomts\nNYe+QLPymprFW9Q4lkPOACAqzjniPErBDlxfv4qR057wmOsadW1lO3fw+aSzmX3lpZRu20ru+ZM5\n94u5XLp6E6c/9zK9rryGtiNHkXVCL9I7dyGzew9aDj2ZbhdO4eT7H2bSl/O5YuN2TnvyGbJ69WHH\nrBl8NHYkH0yahH/3rkY/I8DSm7/kceJdh+D84WOc819veLz6AAAe86F6h/aM9EZIwYZE1926GGO3\nvquvY/U76v26Wz+MlRsb59C3bWvNuJMpN0mSNC0qVs+2bCmuc0yPzibBsGDn/pov6RMTqmTL9So7\n0CbWHoBd9qpUwKhyLgBO+X7lNpmaQ3jkFagFO3DNfulnXbu6ay32dd8Q7zrUalAlTWzyOwzaYNKa\nIs1qy55hZLIv8Z5ppZgcSihsZKZJAgFrMlGXDn+SJEkaJhCI8dJLK0hLc3Dppb0a3gEIxwROFzV2\nDQAAIABJREFUm0RLmI/baYVNwoMpB9mmRuvcL+ScjVSCeMPn453/jHX+sx4nXFREqOAgzQcNxpFa\npYy4e95cjGiUFkOGopbtxbR7iXp2g1TQdKtGs1jovMIBHvQd5LKM3RxUdSaG03CjYCSCAQn9ADIz\nXRQWHp9GmU3Ooa+I0FfkKJYkZNfTUyyHfk/C0Lau5tAXagcByNarzZ5kFLuch04nDHKPOI/786cQ\nRpzgb++pbPdbHztnf8kHI09h33cLaT/mTCYv/pHTn3uZFoMGH9VSijMjk56XXs5v53zL+I9m0Hzg\nYDZ+/DFThw1h3RuvIhvTPKoCzYb/hjcwPWl43/srSsGOeofrYjAxcTp2uRBN/lDnOK+ZQpt4ew7a\n9lOq1v3iPtluYEfybbz+5eeMVGjX0mTNZqVRvbGqHPpGaO4nSZLkuNGxYxqaprBhw6E6x/TrZjnu\ny9bVnMCfZLe2fxOrshet4m2xmXa2OjYhSUS0GIROVxzyUxRZJdEbmngXpi8Tz/T70TbXbb9qxTTw\nvXkLAMEJdwCgsQyFEmJiBAhBoXYAp+nCY/rYnqjT8ilwsEiQ5pM47FBWZjkOKSmOOk+VJEmS+vny\ny62Ulka54oq+NZqI1kV5GDbtU+jQzKxMtjgBNzcHsvErJldk7OGm1L086S3gK4efKNVSsm2W3KQr\nNBz7ru+Jtx6I3upENLcLm8fLrrmz+WLyJJb/43G+u+fPzL3mcgC6nDsJtWgrRmZndNsuNKM1Ck4+\ncpZyYeYuniafuc5yHFJwlz+H64JW2lBFfW+Fym67dqns21dep5DAsaTJOfTRqOXQV8j7lCYkgCoc\n+n2J2U+bagWxRVohdtNBilmVS2WTSxAEiYkxR6TbiLJCnIunojfvRHTwxAavad2brzHr0gsx9Tgj\nn32RM9+eSlrHzv/BXVr5nq1PPY1zv5jDOW+/jWq3sfBPtzHn6t8RDzV+NmdmtCJw6ZOIWAjfazc3\nmHoTErcB4DafrXdc14hVkb3FsbHOMR4BA2wGa3WFkgYEaXp1MSguU9hf2PDkJyPDidutsXdv0qFP\nkqQp4XBo5OZmsmFDYWUzmMM5qa+1fdGKmhP9k2wGHiH5MqpVmikNjS7RbpSrfvbYdlobhSCk3Iog\njtt8tHJ/6c3Af91rYBqkPn0B2vaVjbtoKXF/9BC2rT8SGTyReO9RADjN6QDExHgCSjl+tYzm8ZZE\npGC3KeiimUhpNTZs1cwycKWlVq5serqzcedOkiTJEcydawUfJ07s1qjxM5ZrROKCs/vX1MMdH0nl\ngbLm9I05WWOPMMPl55GUAi7J2M1u1VpNk1iTcCVRvyPiITB07F4f46d/Rqezz2H3vLkse/RB1rz8\nAvaUVEb+30u0bJuG0CPozbphKqWoZg7lwuB57yFUCXfTmneL2vJxUQfGRlMQif4WscQl2hLxjN69\nczBNyfr1v3xvnSbo0Fsvg4qio7KEBFCqz/o8PxGhb5mI0BsYlKrFZBhZlQ8UwCYXAhAXI484h+vb\nNxF6jPAZ14JSfxrIhnffZuGdt+LKzGLiF3PoduGUY1rcIISgzyWXcOHCH2gx5CS2ff4Jn044k/Ch\nuiNghxMdeh7RvmOwb1iAPZEjWhdxcQpx+mKXM1Hk3jrHdYx1QZEK2+31S2OeZDOQCH5oII++R0fr\n+9q0veE/OSEELVv6yM+vvfAuSZIkvx4DBrQgHNZZu7b2bs49Opq0yDb5eqmGXu396xBwll1nt6nU\nsBe9IpZe/Ep3VdQ9Ki5Apycu+U6N1cR4r5GUX/kcIlhC2oNjrFRDs55Cez2G5/2/4vn8SYzs9gQu\nfRIAIctwyGkYNCMmRrDHZjkYrePt2KArmAh6qla6TTAsaNfCsl+HDlnBlqwsV+3nS5IkSYMcPGi9\n2ytS+BrigyVWzcr5Jx0Z5R4W8/JMWWtmHerIa8VtODecykFV5xlvIRKJXbcmDWHvGqI9xqMdXI93\nxh8QgQKa9R/ImNfeZsqy1Yyb9gnjpn3ClKU/0e2Ci1ALrBpCvVn3xJkUihQDQ8CoqI+LyKa1aUc7\nrFFdWaKIPs1tRS369LE6XK9eXb/k5bGgUQ59bm6ukpub+0hubu7+3Nzc8tzc3A9zc3NzGrnvF7m5\nufMbe0GHy4L5Ew8nJaHpmZ+I0DdPROjL1BJMYZKh16yStsklSBTi4jB1G9PEueAdpMND9JTJ9V7L\nvu8WsuCPN+PMzGT8RzPI7t23sbdx1Hiat2D89M/pNvliClf/xGeTzibcCOUcAIQgOOURpGrDO+1e\n0OtZ2hGCiHIVAhOnrFvtxiGdtIq3pcB2oFL9oTaG2BLL6w049N0SDv3GHY2bQ7Zs6aOoKFyZgpXk\nf5PjaVuSHBtOOqk1AAsX7q71c0WBsSfrlPgF8w/LjJnstGzTm5GqotIcvTltYu3ZY9/JXluilkho\nlKtPIxGkGFcgZJUtjA6bgv+2D5B2F743biH9rsE45/4LpXAXmKalNV96AGb9i4w/DcT95XPoLbpQ\neveXyJQsANzmP1EoI6xcD8LGdocVuGgX68SKhC3rYzPYutuyVx1bW/br4EGrAC872/Ozn1+S40fS\nvjRNFEUgBJVF5g2xYY9K6wyTtll1ZyB4pEJnw8EfAlkMirlZbg+zxB7CFR0NUsXveZniSXeh53TH\ntfIdMp/oStqLw/B+egPNCubRoUcL2g4fic1j/ba1fKuG0Mg5AaQDU1SJdARE3SkJWw5YNqNFQsK3\nQpJz7dqmE6G/D7gEuBg4FWgNTG9op9zc3GuAs47mgio6EFY49OVBgd1m5S8CFJiCFCFxJSZFJYkc\n73SjmkMvdWysxKAHUqRQHW3rMtTCnUQHTqjWLfBIQgUFzPn95QhF4cy3ppLZ/ZdvCqDa7Yz45/P0\nuvL3FG9cz8wpv0UP1673fDhG885Ehl+GWrAD56K6HXWAqDgXiRuH+X69KToVXXd32+vWru+nGQgk\nK/X6Hfquba3vdduexv3JNW9uyXDWJY+X5H+G42Zbkhwbhg9vh6II5syp2y6ce7o1EX/n85rbT7YZ\ndFcNPotq7DaqIltDg6cBsND7NUaiY6suhhBS/oLKHlLMS0FWpSLG+o6h5OElhIdfhnpwO763byfz\ntl5kX5ZG9qWpZN7UFZ69BqVoD6HR11B679eYGZYKmiK34ZLPYdCKsLiGsAix076NTD2bDCOTJQmH\nfojNYENiRbFbB8t+VawatmhRt0xwkiZF0r40Qfr3b4GU8P33dWcJVKdfR4O9xQpb8huxwo/g+kAm\nqoQXPIfAbEZa4FZMpZiC5rex//rbKR/7EHqbQWiFG3GtfAffF7eR8fwQ0v9vAK7vnkXb8yPO1dOQ\nQqC3GYRN70xc20YbI05LQ+N7R5B9HFmIe7BUsCRPpXtrgyyf5Vu1bm2ll1TvhvtL0eDTyc3NtQE3\nA3fl5eXNz8vLWwVcCJySm5t7pLh71X6dgYeA74/mgqpy6C2jGgiBz13ldBaaguxq+fMVUmOpRpVe\nucomBGHi4sjW347lCeWbwefWex0L/3Qb4UOFDP3b/bQYNPhobuE/QgjBKQ8/QdfzLqRg5Qq+ue2m\nRhfKhs65E6nZcc16hiM046ohhY+oOAuN7aD/VOe4CgWKvbbaI3EAPgU6qyZrdRWznsts19JECNlo\nhz4nx2o5ebyqw5Mcf463bUlybEhPdzF0aCuWL8+vs85lcC+DTm1MPviqqpcIWOVMN7ljGAgeD1YV\nwzXTW9Aj3JsirZAf3Ysrt4fEHUTFBOxyEanm+SCrJvhmRisCV/4fxU+vp/yyp4gMOpdYzxHEuwwm\n2u9M+P0/KH5yFcFLn0B6Eu8HGSDVuARBlKDyEAg361w/YQqTnpE+xCQsiGu0U0zaKZJ1Wyx71bNz\nQjZ5j5/0dGdS5ea/gKR9abr85jeWTPjrr69q1PiLT7Ui+Te86iTaiKB+B8PBWZEU9mhx5jrK8UbO\nI638LkwRpKjZk+wY9zW7/jCBA/cso/iGJZSf8zzRHhNQS/fgnXM36a+cjlq2h3iH4UhnKq7YSSAM\nws5ZXBrMICIkt7KTGDWdnr+85yCqC64cWXWRFa6YpjUNHfq+gBdYULEhLy9vF7ATa8Z7BLm5uQrw\nFvAoUHdVZS1UROi1hOZPICTwJNIVTQnFUpBZbbnDr1rShilGVUGsJlcDoIs+RxzfvuorpMNDrMdp\ndV7D3kUL2D7zc1oMHkrv319/NJd/TBBCMPypZ2nWfyBbPvqAzR9ObdR+ZlpzIiddgHZgG/Y1c+sd\nGxWJCU3k4zrHZBhZuEw3++px6AF6aSbliUKyunDYoXUzyc79jXPoK5a0Cwr+8+66SZosx9W2JDl2\nnHOOlZf68cebav1cCLhqUoxYHF6ZXlOz/VyHTg/V4MOoxsp4lT04JTgSr5HCcvcSdidy2hEKfuU1\nouJs7HIh6cYIVFnznGZ6CyKjrqb8prco+/NnlP5tLv7bpsHEWzGz2lYNlAFSzSlorCMsriKqTCRG\njNWuFdhNB90jvfgurhKQgjMcOkLAT5tUnHZJ13YmpinZs6esUoUrSZMnaV+aKP36Neekk1ozf/5O\nfvxxf4Pjzx6gc/5JcVbtVDnvKRcHShp2ji8NZWCXgtc8RYQw8UbOoXnxB3jCkzCFn3L32xzInszB\nLm9TPvAk/Be+Q9HtGykf9xShIdcROPNR/Be8BYAnPBGkHb/nFUbFyxgb8bGOEC97qmodv1mnMmOF\njUGd9coJCMCOHVaqTrNmv/yqXmO8q9aJf+87bPt+4Mje2hZ/Acy8vLwnj/aCKhz6CiH+UETgcSXy\n5SWYCDKqRejLFcuh95nVHfpEMYM4ocaxlUN70PK3EOt+KthrVymQUrLkgb8BcPKDjyKUX6duWHM6\nGf3y69g8Xhb95U6CBxtXUBEZdRUAzm/erHdcTIxAYofIzDrHCATN460IqOUElLoVZ7olCpQ36fU/\nq7bNTQ4WCaKN6AvTUIv5JP8THFfbkuTYMWFCVxwOlalT19e5gjj5zDg5mfDqx3aKq7WUUAU84o0i\nEdwecBJL7O6QTsb6JyBQ+DLlU4rURM6psONX3iQkrkMjj3RjmKV+Ixs/2VdlHunGGOzyG6JiLAHl\nMQBWupcSVkL0CQ/ALh18lMjtn+CIU1YOG7crnNjDwKbB3r1+IhGDTp3S6jtVkqZD0r40Yf7855MB\nuO++hY3KQnjikgjjB8RZukVjxN/dvD2/3kQEckyNC0NpFKoGd6btp1joaGZL0gN30rLoSzL8D2DT\nuxFxfMvB9Isp9fwfpjuVyKCrCZ71GOGh1yNd1m9dlRmkBf6IqZRxKO1m/hA06ICDj1xlbEh0iX19\nvrVq98hFUaq7jR98YPmjI0e2/xlP6ehojLfqxvoDP1xKIAoc4RXn5ub2B24FLv05F6QnunPZEpo/\n4Si4EmcpkQkJy2pXHVQCaFLDIauWb9XKdt419edtm6zOg/Ge9UTnF3xD4aqf6DT+XHL69Ps5t3DM\nSGnbjqF/u5+Yv4wfHrqvUfvoHfoRb9cb++rZiPJ6imqFl7gYCvqqGgVnh9NMt5p1VTTvqo2umvWr\n2mLUn0ffqplESkH+oYZn15mZ1pdeUhJpcGyS/1qOq21JcuxIS3Ny9tld2bq1hG++2VnrGLcT/nyV\ntcr65Js1taaH2g2mOGOs01UeDValr7TQW3F6+ZnElCifpL1fzam3EVQfo0z5N5IUPObDZBo9cRv3\no8qNtdcCSYkq1+E1biXdGILGWsLiSvzKuyBsFGgHWO5egtdI4cTwIEpMmBHVaK+YDNRMvvtJQ0pR\nKcO5aZNlJ7t2rb9NfZImQ9K+NGGGDGnFWWd1Ztmy/Xz11bYGx7vs8Mq1ER6+KEIwKrjsn3D2Y252\n1SOFfXEondOiHtbaIvwuYzfPeQrJV+IInLijZ5BT+gaZZf9AM1oRcP+bQ6m3YYrag5feyDmkBK/G\nUPfjT72Zu0lHCvjUVYaUsHSLSocck17tqmYZP/10gFdeWUnLll7GjOl49A/pKKm/I5BFGFByc3OV\nvLy86vMhB1AjRJKbm+sA3gbuzsvLq7/LUS2kp7txOi3jnpHhJiPDRzQGKT6V7GwfO8NAMbRw28jO\ntiIpEUL4SCEnu1qBa8F2kFlk5bSreYI9Vr64d/AovNm+I86fne1j/vvWEsuIv/6Z7FrG/FLUda7T\n/ngzm/79Bpumvcfpf7+HrNwjm2QdwekXwet/JmvrN3DG5XWPKz8dAgvISlkFziO76QJ0pj1LWUgo\ntZRsar/GARHAD/k2B9nZdTeJ6JRY/Q7HvWRnV22v7d47dLBemrGYeVy/hyTHleNmW8CyL5rWuG7F\nx5pf+2/4lzj/X/5yKtOnb+Sll37iggt61zrmhsnwwvvwxmd2bphip2/3qs9ezIAfdsBzYQcjMh1M\nTJjwbIbiQPCFMoNPMt7jfCbTiU6JvaaAeTYEn0IJPodHPonHeBJEOtj6g9IMhALmIShYQ4aZCM6q\nXSDlCVzOCbiAIEHmMgOJZJI6iVZZWTxQCBHghixBTpaPxVbmJhPPsOzanj1WUdvgwW1+9e8zSaM4\nrr7Lr2Vb4Ne1L//JuZ96agyzZ2/jiSeWcvHFfVGUhoN9d10IF42E21+H6d+rnPmwl1n3wsAutY9/\ngRRep4BXlIN86C5jjjvAv+hELyqUqsZicDI7uQO/fSElWTfTmTfQOFI0JZtb2UuMQu0t2jGN1oxm\noTPIjWVeykKCsf1F5fPIzy/nmmtmYRiSt98+l7ZtGyfR+Z/QGIe+olVfC2ouXbXkyKWswUA34LHc\n3NzHE9scWD8qP9AjLy+vzrLmkpIQpaVWikUoFGPv/nLAhyp0CgvD7I6pgBtbJEphYQyJJJgVJEdv\nTmFpooJYmmQZu9DpTWlhzaritE0/oml2Dvk6wGGfZWf72LN5F5u/+IKM7j2xd+hOYeEvX5Vcce76\nztXvljuYfeWlzH/gYUY8/VyDx1NzR5EBRBd9jr/fb+scZzP7kAaEShcRVE+vfYzihUzYE9lPYXnt\n1+iVAD42B63vqS58LhvgZPO2MN3bWcXPdd27YVifHzgQ+EW+h+QLuUlw3GwLWPbl16Ch3/d/6/lb\nt/YyYkQ7vvlmJzNmbGTIkNZHjMnO9vHwzSHOv93NZXcZfPliCFu1t84rHoXfxNxcshdcaSEG2Cy/\nqwM9GeUwmO/7ird5g8GhU+kfGoKCAgjgdlCuwyFnYpffYJOLUGNf1zy50pKoOIeImESMs6DcBuXl\nREWET1OnUmwrYkBwKCmhZmwxy3my2EuGkEwyguTnwydzPeRkQIfmQQoL4Ycf9lbed0PPM2lfmgTH\n1Xf5tfg17ct/eu7MTAfnntuN6dM38v77azjjjMZFsd0CPvyzjyc+jHDXuw4mPiRZ9GAQTx3xxPG4\nOZP2fOEs41nvIS6XW3imrDVd9aodfDyK4X2MoOsz8uK/J7v0RUQtLrKdKxCZH1OkfEJuZCzznDEW\n7vQDqbRMsXzTYDDOuHFT2bmzlDvvHErv3tnH7Duqz7Y0JuVmNRAAKvNUcnNz2wPtgYWHjf0B6IJV\njNIn8c8nwI+J/26w+sFI9M1V1apca7vNWk4NJFJuPML6/5iIYgoTp1nV5ENQiCCOKQ5LkTNNtL2b\nMFrmgla7QsGuubMx43G6TKzbCf416HDW2aS0a8+Wjz8k6i9rcLzRogtGZhtsGxfWm2SmCyulSKPu\nSnOP6cMmbZRodafluAVkCZN9Zv1/Ttnp1vdW2IiCFp/P+o4CgSOloZL8z3BcbUuSY8/ttw8FrDxY\nsw6Zq+EDDS4cG2fNZpWHX6n5xu2pmbycEiYKXFjmZlW1Itnu0d5MLJ2C2/Sw1LOQD9LeIl+r5ocJ\nD1HlfMrVFynW1lGo5lOkrqdIXcshdTc024dffZuYMgGEtaJbpBYyLe0tCmwH6BHuzZDQMAAeCzrw\nS8FN7hheBeYvUykqUxh3mo6aCLyuWnWAtDQHbdvWLXecpEmRtC//Bdx000AAXnppxVHv+7vhca4f\nE2NvscK/F9rqHWtDcG4kjbvLmxEWkjtS97NLrSroE6ikBf6EK3I6MdsaAq7a1U0FThzx/ugUkpWo\n49kZsPysNgmd/BdfXM769YVcckkv/vjHOgWVjjkNRujz8vJiubm5LwBP5ubmFgGFwPPAN3l5ecsS\n0lAZQHFeXl4UqCFOnJjdhhu7jGUY1gNRFEEsbjl+FRr0wcT7wpPwB6PCyq92yKp0OJV86zg0r3Fc\npXgfIhZCb1HHugywa94cADqMaVrys4qq0u2iS1j2yANsnzmD7pMvrn8HIYh3Ownn4mmo+VswWtWe\npiNFGqhtUY26i/kFghQjDb9aikTW6MZbneaqZHsDRbEZadYXWOxv2KH3eCoc+sY1nkjy38fxti1J\njj0DB7ZkwoSufPbZZj74YAMXXtiz1nEP/yHCsnUqz0+1c2IPg7NPq2oYN8Zh8Jwvwg3lTiaWuXkj\nJcxpdivtuYXeisklV/Kddx6bnOuYnv4O7aKd6BseQJt4+5r2SHgwqb3hU0xEWeH6gZ/cP2AIgxND\ngxkaPA2BYEFM5fWIjc6qwVUuy978e6blHEw+0/r/goIgO3eWcfrp7Y9pp/AkvxxJ+/LfQffuWQwb\n1paFC3ezYkU+/fu3OKr9bxgb47V5dl6eY+fq0+M0pGNyetRHUJg85SvkprS93F6ew7CYpUBjOfV3\nErEvw+9+BVd0BJrZ7IhjyESefanQAJPCA5a9aJNlYhgmr7++ivR0J/fdd9pxtReNlXC5G3gXeAeY\nB+wAzkt8dhLW7HXosbigiiiPqirEEr5cxRJtOBGhd1VG6K3ZVfWCWCEtGSEpqiVpA2qh1YHQaFb3\nkk7+0iW4snNIz+32H97FsafT2VaO+665sxs1Xu9gafBru1bXP1DNtSZBsu4GTj4jhbiIExN1R8uz\nhSSEIFRPsXqqlZuDP9DwH7jLZX3p4XDSof8f57jZliS/DPfeOwy3W+O++xbWqUrldcNr94dxuyQ3\nPuRk5caar55JTp2XfRFiEiaXuXg1bKusc3VJF6PLxzGpZAotY63Z5djGZ2nTeCvjRb7xzmabfTPl\nShmymia0ROKnjK32POZ5Z/F65nMs93yP03RzVtlETg6OQEFhnyG4zu9EA57zRXAI2L5XMHuxRr9u\nBr27WpG3xYut7I2hQ49MK0rSpEnal/8CKqLYt9wyB7//6FblM7yWrOXeYoW1uxvn0o6PpHJ7eTZh\nIbkn9QAP+g5ySLGCDKpMIy14E1IJUOJ7AEnNbvVxdTtR+0rc9Ga5TZBmqmzNs3zQ7q1M1q8v5NCh\nMGed1fm496toTA49iSrxOxL/HP7ZAqDOapC8vLyrj+aCKhx6RYGE4A0VtSbRCnmzhD9Y4dDbZNVD\nU7A6x5rULEBQiq30t4pugYcTLCwkmL+fdmeMbZIRmLROnfG1acu+xZbEU0PXqLe1JDu1vRtr6WdW\nDa0jxEBlNwa1d8P1mNbsNagEcBi1y31WSIkWmwK3WrtX7/NY28uDDT9fm01F0xRCIb3BsUn+ezme\ntiXJL0Pr1incccdJ3HffQu6442tefXVcrfapZyeTl+8Jc9ndLi68w80nz4To2akqJXCCU6eZEuYK\nv5O/BJwsjKk84Y3SLGFPWuptmFR2MQe0/axz/cQ2+2bWO1exzmWJHShSwSGdCAQxEUVHh4Sasc9I\nYUD4JPqE+2PDel/kG4KJZW4OSYWHvRFOTOTvP/2OAykF118Qo+I25s/fCcCwYdV07ZM0eZL25b+D\noUNbc9VVfXn11VWccca7/OlPJ3H22V0r+xE1xCnddaZ9b2P5dpU+7evRsqzG2ZFUesVdPOw7yFxn\nOd85AlwWzOC8cBruyHjC9gVEHIs5lHoLaYFb0Iz2ROyLKfVaiqZ7mEyRanBGyMcbeRptMk1yUiUz\nV1iKgIMH1+5r/pL8OiLr9VDh0AshMCodemtbhWPqSERidGFFb22yKndKYC2FyMMqlBW/Fbk3U49c\nPgE4tMlqVpLRtelF58F6Hs0GDCRaUoJ/Z8MrgBUrEUpBA2OVlta/ZH6dQ1ym1bU1rNRd+JOaWDXx\ny7qd9YoGYaFGKlHa7Sqx2OGKY0n+H3vnHSZFlfXht0LH6Z7IDGnIoYkSFAGRqKAoZlEMGDCyuobV\nXXMEw6rruoZvMbAKBswJA6ComAgSRGJLGnIYmDydq+73R/UkmNCDhEHu69MPTvWtOlUdbv/q3BMk\nkobG9df3pm/f5kyfvoY33lhW47hTBhg8c0eIgmKF8291sWQvT30/u8HstAAn2mLMiNg4MT+JlwM2\nopV8BE1izTi5+HSu3vNXzim8iL6lA+kQ6kxmrDEO04nddJAea0RXutG39ETOy7+Uy/Ku57hg/3Ix\nvyymckaBmw2Gyq3uMFc5rd+SpX6Vd2fqdGlnMCoeFhSLmXz11XoaN07imGOq//2QSCR/jAkThvCX\nvxxLTk4h1133BT7f/3HRRR8yefISdu6svedE5+aWiP89wcaVZbQ27PxfQTa3FWdiFwqTPHu4IXUL\nG7QI6UUTcYZPJGz/hZ3pl7A1cwB7Uv6Boe5BCVzLRNphFwot5mdSFFQ4/Vhrvli1ytKaXbo02o9X\n4Y+RkIf+UFLWYEBVFYx459GypKRYXCza4prRUMqWSCouQ8ESnYKqXbmUEstzL7zVlw4q3GR1Q/W2\naLgemPROXYAPKFi/lpQ2tWeDm6lNEIqCWlBHQyrVCk1Sya9xSFmOQm0hN2WJyrWF3Djt1pOhcGIr\nIHa7Wt6XQCKRNFw0TeWFF07l5JPf4K67vqVr10x6964+FnbMqTEMI8RtTzk451Y3kx8MclK/iu95\nU03wfkqQ10I2Hil1cE+pk5eDdm5yRzjfGcUZnz40dJpHW9I8Wv2cnZnpJTdQtbJEVMArQRuPlToI\nofB3d5jb3ZYnPhaDvz3pRAiFh28Il//u/PzzFvLyQlxxRY+EyupJJJL6o2kqDz44mMvstDi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685r712JqmpdZT7lUgkDYL27dOZMeNiHn30RyZP/pXzz3+fXr0ac8kl3Tn33E54PPuvIQKBKNOm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\n30jgDeAloDvWl+MO4K6DbXuv8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qZFQLhb3pPs5QgERkesZCdyBIPp3AbLWiVGt/3GaLhaYl55Ds78W5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\nn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kde = stats.gaussian_kde(thetas.T)\n", "XY = np.vstack([X.ravel(), Y.ravel()])\n", "posterior_metroplis = kde(XY).reshape(X.shape)\n", "make_plots(X, Y, prior(X, Y), lik(X, Y), posterior_metroplis)\n", "make_plots(X, Y, prior(X, Y), lik(X, Y), posterior_metroplis, projection='3d')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gibbs" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": true }, "outputs": [], "source": [ "a = 2\n", "b = 3\n", "\n", "z1 = 11\n", "N1 = 14\n", "z2 = 7\n", "N2 = 14\n", "\n", "prior = lambda theta1, theta2: stats.beta(a, b).pdf(theta1) * stats.beta(a, b).pdf(theta2)\n", "lik = partial(bern2, z1=z1, z2=z2, N1=N1, N2=N2)\n", "target = lambda theta1, theta2: prior(theta1, theta2) * lik(theta1, theta2)\n", "\n", "theta = np.array([0.5, 0.5])\n", "niters = 10000\n", "burnin = 500\n", "sigma = np.diag([0.2,0.2])\n", "\n", "thetas = np.zeros((niters-burnin,2), np.float)\n", "for i in range(niters):\n", " theta = [stats.beta(a + z1, b + N1 - z1).rvs(), theta[1]]\n", " theta = [theta[0], stats.beta(a + z2, b + N2 - z2).rvs()]\n", " \n", " if i >= burnin:\n", " thetas[i-burnin] = theta" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LAxaW+S386LXxo9eGA4MO9iC3OoLc6Ahe9IVFj/aw5Ns0Rnzl4Muf7XQf7Obl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tUdkFtswvthG61Vk+ENBMRO/cH6mB0/MDk3pSVLLPfGHj1ykmovOWw5qHOLRCI5opDz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\n0QpLfYXVXlGqrPkV1n1dV8nKS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HcilcpwTwBqt1qsNhp7HDRk+vdFQT4kSxZ+dGznlzgEK5wjnntJP2HjjHvclh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\n0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kde = stats.gaussian_kde(thetas.T)\n", "XY = np.vstack([X.ravel(), Y.ravel()])\n", "posterior_gibbs = kde(XY).reshape(X.shape)\n", "make_plots(X, Y, prior(X, Y), lik(X, Y), posterior_gibbs)\n", "make_plots(X, Y, prior(X, Y), lik(X, Y), posterior_gibbs, projection='3d')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hierarchical models\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hierarchical models have the following structure - first we specify that the data come from a distribution with parameters $\\theta$\n", "\n", "$$\n", "X \\sim f(X\\ | \\ \\theta)\n", "$$\n", "\n", "and that the parameters themselves come from another distribution with hyperparameters $\\lambda$\n", "\n", "$$\n", "\\theta \\sim g(\\theta \\ | \\ \\lambda)\n", "$$\n", "\n", "and finally that $\\lambda$ comes from a prior distribution\n", "\n", "$$\n", "\\lambda \\sim h(\\lambda)\n", "$$\n", "\n", "More levels of hierarchy are possible - i.e you can specify hyper-hyperparameters for the distribution of $\\lambda$ and so on.\n", "\n", "The essential idea of the hierarchical model is because the $\\theta$s are not independent but rather are drawn from a common distribution with parameter $\\lambda$, we can share information across the $\\theta$s by also estimating $\\lambda$ at the same time. \n", "\n", "As an example, suppose have data about the proportion of heads after some number of tosses from several coins, and we want to estimate the bias of each coin. We also know that the coins come from the same mint and so might share some common manufacturing defect. There are two extreme approaches - we could estimate the bias of each coin from its coin toss data independently of all the others, or we could pool the results together and estimate the same bias for all coins. Hierarchical models provide a compromise where we shrink individual estimates towards a common estimate.\n", "\n", "Note that because of the conditionally independent structure of hierarchical models, Gibbs sampling is often a natural choice for the MCMC sampling strategy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gibbs sampler example from [Robert and Casella, 10.17](http://www.springer.com/statistics/statistical+theory+and+methods/book/978-0-387-21239-5)\n", "\n", "Suppose we have data of the number of failures ($y_i$) for each of 10 pumps in a nuclear plant. We also have the times ($_i$) at which each pump was observed. We want to model the number of failures with a Poisson likelihood, where the expected number of failure $\\lambda_i$ differs for each pump. Since the time which we observed each pump is different, we need to scale each $\\lambda_i$ by its observed time $t_i$.\n", "\n", "We now specify the hierarchical model - note change of notation from the overview above - that $\\theta$ is $\\lambda$ (parameter) and $\\lambda$ is $\\beta$ (hyperparameter) simply because $\\lambda$ is traditional for the Poisson distribution parameter. \n", "\n", "The likelihood $f$ is \n", "$$\n", "\\prod_{i=1}^{10} \\text{Poisson}(\\lambda_i t_i)\n", "$$\n", "\n", "We let the prior $g$ for $\\lambda$ be \n", "\n", "$$\n", "\\lambda \\sim \\text{Gamma}(\\alpha, \\beta)\n", "$$\n", "with $\\alpha = 1.8$ (an improper prior whose integral does not sum to 1)\n", "\n", "and let the hyperprior $h$ for $\\beta$ to be \n", "\n", "$$\n", "\\beta \\sim \\text{Gamma}(\\gamma, \\delta)\n", "$$\n", "\n", "with $\\gamma = 0.01$ and $\\delta = 1$.\n", "\n", "There are 11 unknown parameters (10 $\\lambda$s and $\\beta$) in this hierarchical model.\n", "\n", "The posterior is \n", "$$\n", "p(\\lambda, \\beta \\ | \\ y, t) = \\prod_{i=1}^{10} \\text{Poisson}(\\lambda_i t_i) \\times \\text{Gamma}(\\alpha, \\beta) \\times \\text{Gamma}(\\gamma, \\delta)\n", "$$\n", "\n", "with the conditional distributions needed for Gibbs sampling given by\n", "\n", "$$\n", "p(\\lambda_i \\ | \\ \\lambda_{-i}, \\beta, y, t) = \\text{Gamma}(y_i + \\alpha, t_i + \\beta)\n", "$$\n", "\n", "and \n", "\n", "$$\n", "p(\\beta \\ | \\ \\lambda, y, t) = \\text{Gamma}(10\\alpha + \\gamma, \\delta + \\sum_{i=1}^10 \\lambda_i)\n", "$$" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from numpy.random import gamma as rgamma # rename so we can use gamma for parameter name" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def lambda_update(alpha, beta, y, t):\n", " return rgamma(size=len(y), shape=y+alpha, scale=1.0/(t+beta))\n", "\n", "def beta_update(alpha, gamma, delta, lambd, y):\n", " return rgamma(size=1, shape=len(y) * alpha + gamma, scale=1.0/(delta + lambd.sum()))\n", "\n", "def gibbs(niter, y, t, alpha, gamma, delta):\n", " lambdas_ = np.zeros((niter, len(y)), np.float)\n", " betas_ = np.zeros(niter, np.float)\n", " \n", " lambda_ = y/t\n", "\n", " for i in range(niter):\n", " beta_ = beta_update(alpha, gamma, delta, lambda_, y)\n", " lambda_ = lambda_update(alpha, beta_, y, t)\n", "\n", " betas_[i] = beta_\n", " lambdas_[i,:] = lambda_\n", " \n", " return betas_, lambdas_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Setup" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": true }, "outputs": [], "source": [ "alpha = 1.8\n", "gamma = 0.01\n", "delta = 1.0\n", "beta0 = 1\n", "y = np.array([5, 1, 5, 14, 3, 19, 1, 1, 4, 22], np.int)\n", "t = np.array([94.32, 15.72, 62.88, 125.76, 5.24, 31.44, 1.05, 1.05, 2.10, 10.48], np.float)\n", "niter = 1000" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.517\n", "0.702\n", "[ 0.06868215 0.15056069 0.10317275 0.12202341 0.63105223 0.60574169\n", " 0.82281696 0.80642704 1.28372441 1.83879696]\n", "[ 0.02667919 0.08864888 0.03946587 0.03161263 0.28059977 0.13161654\n", " 0.49599896 0.50922204 0.58418796 0.39279425]\n" ] } ], "source": [ "betas, lambdas = gibbs(niter, y, t, alpha, gamma, delta)\n", "print('%.3f' % betas.mean())\n", "print('%.3f' % betas.std(ddof=1))\n", "print(lambdas.mean(axis=0))\n", "print(lambdas.std(ddof=1, axis=0))" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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PoqltcIxeSkNAo0BkL2PRruLRYo58oOBsBve/ZX1IE4PTdWqmlPIlAEKIFya8\nfRC4YGZCSCldIcSFVscbRnSbhrFSnlwuQ7m2sW9C7UIyg4yhYeD0G4Ojj3/XQ+f40oNnuelpB7j2\n8u2pj6UVoFwuSy6XpT5AQ8Rs8DfcCk6j8F42k1nVsepVeHHIyuQH88Zbgj/x9+4AWlpkUspfXMWh\nrRuRXlQDKcegDZQ+FZwexqKzGEdKeXJWwbH0SZrZq6vUzJTHqyS83uvx1gXdpkG5qAYf9LrW6Ekk\nm81EukePhwZO99/PS8ii0g/lM5e6iyfXLqpCLkshcAn6/mAmvrrR4G+Ya27o3yCfz1LIZ1dVbarp\n8z18Co4lxiCzFWF9FRwzTVwrOBt9brWsH2kUnNSpmSkpB/vGSXW8XiOsP/F5yfRsmV/9iWf0tH+c\n3GOXANi/d5KR0jSu67cc20ZI0dNtGUZHCpEYnD07VYx4Lp/r/nsYBeJGRotMTU2SDVZl8ytOV8db\nCBSWyYkSY0tqrLt2T4R++n7O8exiw94eGy+t2e/V7ecUS8rY3LN7nGIhh9fDMdLiZtWtuG1i7c6H\npTcG3apBL0L6VXB6GUul5lDIqzi7fNYqOJb+SGPgdJOamYaTwF4hREZK6QMIIXLA3jTH6zXd7bav\nn+TsxWVe8cKryWX7l93PBxkCTs3B933qrpc4to2SorcQGDiO40azqAIbpVyudf09avWG6LewWGZ6\nepHl4HOOnJzt6njTF9X5rtccvED6PntunpFivu9zfH52Jfz3INJs09DLmOcXlCG2vFgll4VKtb5q\nYz0XXN++cV1bQ2c48QZc6M8Jg4z7U3B6UV7KVZfRoDp8GINjs6gsPZLmSd9NamYavowyrMxAwJuA\nTPDeqlCtOfjAwvJgsm8aQcZ58tkMvj+YhpLrhRmDUzQUnPGRPmJwEoKM9aR3tlsXlduIwRl0doXO\n3DA/ZxhpuKhUO43VXNlqF1VxiLKoLMkMst4UNBSc3l1UvaeZl2sOI0GWYCMGZ3jvSctw01HB6TI1\nM8l6iJRoklKeEUJ8EvioEOK1KCPrI8DfrGaKuPbtzi1V2xafSosZZJzPN27EYnZjxixoAydr9KIC\nFWOUy2Z6mjgjE6/26weT38W5SleVcvVkq+vgwOAmvkqt0Z5hmGNw9IMnn8tSyOcoV2sd9ugdrb4V\nh6sOjiWBQTfbdEIDpVcXVe9BypWay45xNT837vONu3C0rC9pl2f9pGYmXZ2vRaWJ/zuq+NYXgNel\nHEtPhAb7uy1cAAAgAElEQVTO4mD6mjTq4BQ2ha/YNRUcw+gYKeZUr61+g4w9HWSs/vaBczMrSbsl\nYgYZhwrOgIyRsqHgDHUWVeQcrHIWlVVwNgSe7+P7jVXkYGNwejuWXiR0qwB5nk+15jISuqh6LzJq\nsUDKVg29pma2ek9KuYIycl7bzWB7pe544Y0/N6DGbcuRLKqNX3EzkiZuKDgjxRy5XG/uEHOy9WIu\nKoCzl1a4cl+6uA79+aaLalAPeFPB2QiVjJWCk13VsVoFZ2Og76tCIUut7g3EwAkVnB7ns14VnEYV\nY/VYsoX+LP2yJZZnVSPYdXZpMLL+UrlOMZ+lVMgZK42NeyO6oYsqG1NwlAHXS6Cf4/nhylJPllED\nJ30cjt6vEBT6g8Gd73JtYyg4Wv3K57NBsUN/1eK+rIKzMdD3gDZEB3FP9KvgVMNKxt3trxcaupDl\nZlg4WtaXLTF7mSv0gSk45XpYIya3Ceo1hApOJlrJWLuoepnsPM8PiwaGLirHIxd0Pz5zqQsXlRFk\nrM/3aig4wxyD03BRZcK4r9UyyEIFx9bBGWr0faVbagxiDgpbNfRoWNR7jOHRC43RYjzIeOMuHC3r\nyxYxcBor9EHF4CyW60wGBk5+E0T7u0aQcUTBKQWFDHts1aBXlqaLaudkiZFirkcFJxu60AZ1vssb\nLYsqlw1VrNUyyIa1krElijZC9D07EBdVYFD0sqjxfb/houpyLLofXBiDk7WtGiz9sSVmr6pp4AxA\nwak7HtWaGyo48SDjbxye5uSF7jvprjWPn1ngU3c+hu/7kSDjQcTg6Oad2sURZlG5PoV8lgO7xzg/\ns5J6ldiIwckMPk18oyg4sUrGsIoGjmMVnI1AGIOT10rp+nYTd1w/zCrp1jAp1xptGsDG4Fj6Z0sY\nOBEFZwAxOEtllUE1Odbsoqo7Hh/654e4+XOy789ZbW697xT/dtdxpufKkTRx86E2qmNwupys3HDi\n1StLtX/d9SjkshzYPY7j+lycS+rakXA8Q70YfJr4xlBw6q5y72UzjTik1RqvVXA2Bvo+CxWcAcbg\neMEipRtqjnkvdavgaBdVNItqmO9Jy3CzJWYv8wG2VK73vepdDgyc8ZiLynV9qnUX1/M5Nb0c9kr6\n8oNneeuH72J+QPE/g0I3tqs5XmiAmN3EtZqTy2a6TvkMJ958NAbHcTzygYIDcOZiOjdVPWLgdJcm\nfuTUPB/7nGwZkKulcehOEXE9j8989Tjzy6tXj8bEcfzwu1sFxwJGDE7sPusH85rq1mDShjF0Hxwc\ndhIPC/1t/NhGy/qyKQ0c1/P4968cCw2Kal3dODqjZ36pytlLy/z2n32VY+cWuj7+olZwQgOncSNq\n//NK1QnVoq8/coGL8xXue/Rir1+pJf3c/Dq7rO54kTTxXC5LNpOJ1KPoWsHR2R1GkLEXuMLyuSwH\npyYAUrvy9PHyhosqbYDtlx48w233nW7Z4LMSyaJKP6E/+NgMn7z9Mb70zTOp9+kHx/XCa221V7dW\nwemO6bkyf/WZR0J1d62IKzgDKfRnHKPb45kKTrfGkVZw4nVwrIvK0iubcvZ6+Ngs/3TH49zxgHrw\n6AfY7u2qWfncUo17Hr7A2UsrPPj4TNfHb6XgOJ4XSUnX6sSJ4CH+YNCgc1BMz5V5/R/eyV0P9VYA\nWscmOa6H6zcMHFAKQViPIptRvvUu5GotbZvpq24YKJzhqv2q/s2xc+l6KUWr+HaXJq4f1mYslkm5\nxzo403NlgDV7qNVdL8yeWnUFx2ZRdcU3Dk9z5wNnePj47Jp+rtsUgzO4Oji9HC+i4PQbg2ODjC19\nsikNHO0yWFpRDx79YNu3S7lF5paqHDkzD8DsQroYEJNmBaex0jBv8NPTS8wvVZkNMre+fXyGupP8\nkO2Fs5eWqTseZy6mT7c2qbRQcAB2TBTZtU0ZhDpdsxt/fGjM5Bv7OqEKk2XHRIntE0WOn09n4LjG\nvnqMaRUcbXRW6snnvlJrNBjtJu36UnDtlA0X12riBPFLsBYuqmh2jqU91eB8VdboWtDo+2yQWVRR\nF1UfCk7XWVQt0sQ3QI8/3+9uAWhZGzalgaNX1LrasK6vsD8wcGYWqzx2eiH8d6/Hn4jVwXHdqIJz\n+uIyj59WhlQ+pyqNypNzXX9eK1aC79frQ04bfmal52xgPPzmq57FG/7vGwDTF96FgdMU/Og1VJjg\n4Xz1/m3MLlZTxbA0UqQzXaeJ6/PTSsGpVJ3QWO3mXF6aVwbOSnVwRms7HMcLjenVd1HpSsabcooY\nOPq6aWVErxZ60VHKN+6zfom6qHpXcLqvZKxjcGKF/oZcwZldrPIr77uDux46t95DscRI1apBCJEF\n3g28BpgEPgu8Xkp5ocX2zwHeDzwTOAX8rpTyY8b7e4A/BL4fFRpzK/BfpZSnO43F83z++UtHed6T\n93HZnvHEbbQBovtFVWMGziPHZ8NV98xC9waOdlFNjCUpOFEXlTZwbnraAW77xmm++dglnnr17q4/\nMwn9HXqdACqGgZMJApSyoYLTaEiq0+Bd14OUK/qkIGOzlxLAVfsnuf/IRY6fW+Bp1+5pezyzBky3\nvvlaJwOn5rJzskQ+V+vqXF7UCk5lrVxUaxlkPJyVjHuYi34e+A3gauAx4L1Syr8a9LicDtfYaqGV\nzUJhcPEqZhxat2nn9T6yqPRCdKQYTRMf9grx52ZWqDkeR07P8103HFjv4VgM0s5e7wReDfw0cBNw\nEPjHpA0D4+WzwNdRBs6foDqHv8TY7BPAVcBLgO8FLgM+lWYg8uQc/3bXMW6/v7UtFCo4gQGgVwba\nwHnoaCMWZnaxBxdV4PqaGNF1cBorjUgMzqWGgfO9zz5IqZjrKeanFSvV/hSc0MBxvUgdnDihgtOF\nVKyPl89lyGQCA8cwUoCu4nCcSJBxdys7Pekmra5936dcdRkp5rvu77TmCo7rUchHg4xXs5JxLpsh\nlx0uA4fu5qIfAz4E/E/getSi6s+EED806EGFCs5aGzjGfZbNZgbuoupHwek6iype6G+DKDh6flno\nM5typVLnb79wmOU1WjBtBTrOXkKIAvBG4G1SylullPcDrwRuFEI8L2GXXwTmpJS/JqU8LKX8APBx\n1CoKIcQE8CLg96SU35RSfhP4f4HnCCF2dBrP6WkVsFtp81DRsTfahaONjn07R4HGTbt9oshyxel6\n1aUvwGYFx4vc4OWqy33yAqOlHPt3j/Hkq3ZyfmaF87O9xczE0d+vlwnAcb1wPzMGJ5tg4PSykmoY\nTCpmxvX8SC8lgEOBgXM8lYHTe5p4OwWn7nh4vs9ISfUUSx3XU3NDQ3otYnB834+4qNZCwRm2+Jse\n5qLdwH+XUn5MSnlcSvlR4EHUomqg1F11ba25gqPv20yGfLa3nnFxzPmkW4PJXOB1XwfHIQOUAgMn\nl11dN+yg0HN+v+Ui7j08zRe+fop7Hk4UIy09kGZ59gxgArhDvyClPA4cQ62g4twI3Bl77Xbgu4J/\nV4Al4DVCiMnA4HkN8KiUsmOAyukgM6mdr7sRg6P+1quq8dFCGDczUszx1EO7AJjpUsVZXKmTz2Uo\nBQ8AM0ZF3+BaLVoq17li7yTZTIanXqNcU48MKNMiVHB6mABqkYnIUHAyCQZOtvuVlPa/ZwMVwHUb\nLiq9MtOBxukUnAQDJ+Vkrr+rWbFYY8rihXw2tcFwyQhOXwsDx/VUhdgmA2eAk//Rswth+4xa3R06\n9xRdzkVSyo9IKX8fQAiRE0K8AqXkfG7QA6uFMThrG2QcJgfksuTz2YG4c/pJE++nhk6l5jJSypEN\n5qBsUNRy2IOM9XfuV8HRxnG/x7E0SDODHQz+jvuEzgBXtNg+adsxIcQuKaUD/CxKxZkL/twI/ECa\nAWsDp91KqRGDo11UattSMceOiSIA11y2LUwb7zbQeLlcZ2K0QCa4ERvdrRsuqqsPTIbbX7lX1XzZ\nE3yednH1Sz9BxpHaLwlBxia5HgJaTZdXLlhZmv2kNIf2TTK7WO14UzsJdXAcp8sYnASjOAxsLHan\n4MyssYETnjudJt6lipWG93/yAf783x4G1DnTgatDRLdzEQBCiGejFlafAD4upfzMoAe2fi4q9bna\nnTjwLKqu08TNLKru08R1/I2mlyrqa43OHJtfrvWVSaXnqUE9HyzpDJwxwJNSxu/cKjDSYvu4JKIt\nCL39k4BvAi8Evhs4DPyzECI5ajjA933OTGsDp/VDRadx1x2PuuNSrbmUCmploINnr71se5gGPdNl\nqvhiYOBozHTGWmjgbAvfv3KfMnZ0XZlBPRDbBRmfml7iH2490tIoMR/2SWniJmGWWLDNt47NJKoh\nJo2VZYZcLpMYgwPp43CiCk53aeL1NnVwGsXFuovBuWhcMzXHW3UZ3UyxBwbeTdz1PBZX6mFtn1rd\nDQNXh4hu5yLN48CzgZ8HflII8a5BD6xTpt5qYS4k8rnMYLqJmy6qrtPE+6iDU3XD+BtNL33w1hr9\nneuOF2nc2/Vxgjl5YcUqOIMizQxWBrJB9oJJCUgqDVsO3otvC7AshLgJ+B3gp6SUX5JS3gX8KHAl\nStlpycxCJXTLtHJR+b4fZjmBShWv1JzwxtEGznUHt7NrUv17tgsFx3E9ylUnYuCYwXDV4GF6xd6J\n8PUr9ykFJzRwBjQJtgsy/sLXT/HZu0+0dId1o+A0sqh8Tpxf5H2fuJ/Pfu1E27GZE282jMGJpokD\nHNqvDMHjHSpKRzpp5xuKWRrSKDgjXSo4OsBYXwcrq6zi1GPuvUHH4OjrQbcyqda9sEjjENHtXASA\nlHI2iPf7a1QG1puFEM0Xeh+sW5q4cd/mcoNRcJyIkbKGvahqTjhHagZltK0m5j3Yj3GiY3kWrYEz\nMNKkiZ8M/j5AVBq+jGapWG8fz5W7DFiSUs4LIZ4LnJFSntdvBq8fBq5rNxAzGNVxfaamJpu2WS7X\nIzd5abRI3fUYGy0wNTXJ//Wi65iYKHHTs6/gbODuKte9xGMlobOudu8YC/fZs6guyFKpgIt60F22\nfztXHdjGyfNLPO36/RTyWTIFdbo9SP157dDGFJlM0/FmgjYVsytO4mednW8oEIVinrEx5brbtVPF\nDpn7bAsMwYltI6yU1fe7tFhr+x3OBE00t02MhMGq4+Nqkb1j22i47zPyeeCbXOxwvEw2SzabYd++\nbfjBgzdXyIX7tNrXM5QjP+E8Hb2groE9u8YZO7PQ8rqKsxys1K65fDvfPHKR0fESU3smOu5n0s01\n4AZG5sR4iampSaaCa65YKgzkWvJmGoHv2WIex/WYGCsO5NgDpKu5SAjx3cC8lPIB4+UHgVFgF9C2\ntHhX3z3TiMNby3M2fkotDHZsH6WQy1Jz3L4/35w/JyZHujpeLt94pPh0Pof6/brj4rg+2yZKkX3U\n3NF8364n8bEUDLdaJp/reazZYNGyXO3/N4wzTOdvLUlj4DyACgp+IfC3AEKIQ8AhmoOJAb5EsxLz\nYuDLwb9PAfuEEHuklBeD440B1wB/2W4gJ4xV/nKlzvR0s1vjQixD6dTZeVYqSnGZnl5k91iBn3jh\nNczNrkCw2jh9YTHxWEnoGKBClnCfxUUl6y8sVhrxP0sVXvP9guJIkbnZwJAKVvlzC5XUn9cObemX\nK07T8U4FFYIfOXqR6afua9r3vNEDan6xQpB9zFKgZpnHq1bVd7p0aTmMlTl5fqHtd5gJvnOlUifj\nK9n70ox+rRbu6/k++VyGUx2OV67UyWczTE8vshCMcWlZHWdqarLlvqZqs7BUbdrufPB/t+6A7+N5\nPufOz3dMjz59YZFMBqYCN+fps/MUEvzvx88t8oFPPcjrfvSpEbdluzEncSEI/nUdl+npRZaXlAE5\nv1AeyLV02rgeHnlM9UzL4EeOPQSTZLdz0W+i1hMvN157LnBBStmxb0o353VFJzaUawP5PdIyO6/m\nu5XlKrlchnrZ7fvzzUzQSzPLXR1vPlgAZjMZ6vX2YzHvAT2X5Yie9wyql+BantN2JN23c/Pl8N8n\nzsyzb1vcgZEOfe7mFgfzfNB0O9esN4OcZzoaOFLKmhDiQ8B7hRCXgGngg8BtUsq7g9TNXcCMlLIO\nfBR4ixDiw8AfAd+HSuX8/uCQ/4paif29EOItQB3lsloBPkYbTgQKTrGQbenrXgoUhkwGfB+WyyoN\nfCQh5XW0lGe0lOvKRbUU3Ig6RRwaLhzH9SMl7vftGotcXCPFHJnM4NwZYZBxTMKt1BqNPk9eaNFg\n0sj2cFwvrIjazkVl1vmZnivj+34YaB1HZ1CELqpao5KxGWSczWTYs32U6bn2cVCOUeSum/oYZtBj\n0jUTZlGVco0KyY5Prtj+uJcWKuycLIXXQbmS/Jvecu8pLi1UePTkXMTA6ZaGiypayXhQLiozLkwv\nEgpDVsW4h7no/cBnhBC/Dvwz8D2ochVvHvTY9LW95kHG4X2msgtbuYVWKg43f/4wP/C8K7l8qrXS\n6AVNccPj9xhkPFrKdeWi0vdhs4squ+ru334x4450g+de0Ir80kodz/MT52JLd6Sdwd4O3IwyQG4B\njgKvCN57ASqL4fkAQUXR/4Qq8ncf8Drg1VLKO4L3l1EZVNPAvwfH84GbpJRtW0sfP7dALpvh4NQE\n1ZqbGLG+VFYPdp2xNLtUxQdKxWRbbtfkSFfVjLUBpYv8gfHA9bzwIVpKCNDMZDKMFvMDCTJWkq66\nIeKBsRdmGyuKs5eWEw2BaosYnLaF/ow0+HLVDVthJBHtTp6JVDI2g4wB9u4cZalcDw22JBI7aad4\nuJsGQFJ8RCMGJ5+6eJ7jeswuVtm9bSSckJOK/dUdj3sPTwfv9/eb64dFvBfVoOITzGvyfHD9DGEM\nDnQ3F30e+HFUYcBvAm8B3iCl/LNBD0oXe1vrIGPPb77Pkrj38AW+8q1z3PNI+xor8Wu/+27iavvR\nUr6rffUCYaQUveY2QhaVWb25vxgcdRyftWvgu9lJ1aohyFp4S/An/t4dKGXRfO1uIKnwln7/JErV\n6YqT5xfZv3uMsZE8PkEqa0yZ0Sl2e3eOMT1XCTOk4tH5mp3bSpy+uEy52hzglkS8yB+YhfC8MMiu\nVZG00dJgDBzzgRqflM4F8RS6wN65Sysc3BtdtcUNnHSF/rzIftNz5UiwtYlr1OfQ4wgDhfPRz5ja\nPhoe76r9k3z72AyHT87xIzddE27juF6YrdZNHyZzdZWo4IQN/nKpA3fnFqv4vupOr/vmJP2mDz5+\nKXy9nTGYhvi5K6yqgqMMnCQjfb3pYS76Z5R6s6ro36EW3EtrtfrWD/9cUD6hVWr2o6dURXXT/ZRE\n/Hrq2sAJHtJjI3kuzlfaqrwmjXIN0Tl4tbKo0o4rDVEFp38DB5ShtG28g4xs6cjwzWBtKFddLt8z\nHrqbkh5YOoNKVy3WBk6phYGzazJQelK6qbSvOJomHqQtO0rhUCmbyad2tJTrK5VQs2KU844rGXoF\n/uSgkOHJ6WZhrFLvQsHJNtLEzZgWnVKchC7Clw3r4DQqGRdi52Zqx0jkeP/ypaP87y8fi9TGMTtp\n5w1FSeP7PvfK6aZMKXPSSHIfRBWcdOnnusjf7m0jjLVJ/f/at8M4+sjv1QvxFPtGmvhgJn8zs+9C\n8DsMWyXjYSaiFA5IxZldrHasqxKpZJxThf6S9nk0aPJbddqPLW7QdOui0udB3xdp99cKZ3yRWchl\nB55FdfriMm/8oy9GWvb0Q90wGvsp0mcaSou22N9A2FAGDsDle8ZDYyXJ5bAYGjhB5/DA/dRKwdGp\n4jOLFVyvoWS0Ylm7qEYb1nVY6M/zqNa8thVgR0t5KlUn4ufuBdPlEX8gnw8UnOeIKQBOXkgwcGpR\nBcg1DJI4pmJSqaUzcCIuKl3JOKEODsDUjoaC4/k+J4LxVmJl37Uhmckoo8mc+B46OsMHP/0gt38j\nmkxjPngS08S1glPKUQhcMp1cXxeDDDSl4GgXVdTAqdQcHjhykZ3B9dXO/ZaGeJHEQRf6S1JwhrCS\n8dDS6TrrloePzfDrH/wy9z96se128YKaPjTNLfPLtXDRU+swNn09hU1yu+5FpRZ42jhOu795H5rk\nA7dbPwX04py6sMRyxUmcF3tBGyaZTH/tGszfZtG6qAbChpvBrrl8e1jtMknB0b7LvVrBWezsogI4\nfHKOt//Z13jf39/f9vMXy1rBaaw0GpV+fWqO23blO1pS7rV+ffVmUKvjeJEJ4PzsCrlshmc8QXXo\nPpVwI7dyUaWNwYForE8cM8g4l83g+UYMTix4dWpnw8CZni2HYzPHaCo4+himYXcmyG47PxPNojNX\nRUqpag7IhpiC08Fo0C7APUYMTlzB+cajF6k5HjfecIBMptH4tVfqTrTQnzY+kh6m88s1PvipB0Ml\nxuTz95zkt//sq037meNvVE22Ck4afN+PKTj9u6B1Icl2iwiIFtRs1TPuyKlGB5yOLqrgtx/RCkyX\n6km1rhZ4eh5J206llYKTCxePgzNw9LU/qMWBjsHZMVEaSB0csO0aBsWGMnA+9NYX8+SrdobGSjsD\nZ9+uuILTIsg4SPP9t7uOc362zGOn59uuFpIUnGihP7dtift2Lo1uMBUDn+gEcH6mzJ7tI0yOFdm9\nrZTsoooZD6bUHScs9Od5qV1UbizIGBoTS5OLyojBOX7eSE9vUnAa+xVy0b47+mF+KRYwHl+xVmvR\nSa2RvZFLFbjruB5fevAso6Uc116+Pfw94wrON4KV93c+eR9jpXxiltWFuTL3BUHInWjE4DTikErF\nXGLn4fvkBe49PM09D59veu/wqTnOXlppMgT19WgauKUhy6IaVnSfMM0gXFT64dvpWI4ROxevOK7R\n8TfQWcHRhpqeY7vtA1V3XIr5XMMwSavg1JINnF764HX+LHUOBuXerTkeuWyGnZMlFvpo11CNBCtb\nBWcQbKgZ7Ip9k2QyjSaXSY3tdCfxPdtHyNC42ePByBrtogLYNl6k5nhtI9gXyzVy2UxESo0EGdfb\nd2Fu5dLolvj+emJartRZKtdDA+/g1ATzS7WmlUXLVg25DgpOmCWWa0rt9nw/fFCaQcba7aVdTnEX\nVamYY9t4kQtz5YhsrD/L931cI4tKj8lUcKYDNSnediOuxsSVi0rNCWOm0gTu3iunmV+q8V03HFBl\nBkaaDVbP93n42Ay7tpW4bPcY4yOFREPkU3c8xgc+9WDHVTqYMTiNczAxkg8NbhPtjkjqsaZXifGY\nMx0Xpq8bsDE4aWm6xgZg4KTtbdVQXhtNaJsNnLnQcK11UC10XNtI6GLqPouqWMjSTSkHMIP9m9PE\nzXG14sT5Rd739/enyj7SbX6SFJyZhQr3yu66edcC1WrbWBHH9Xue22t1L/y+tprxYNhQBo6m1EHB\nGR9RKb/maqCVi2rfrjG+99kHed2PPJXvuH4vQNu08aWyw7jRaBMaq17HVb2oSsX2MTjQ8Dn3ilYE\n4qrD+Rn1cNMxSDp76nTMTaVv8rFSvqOLKpJFFRgIB6fGmVmsRCawO75xmjf98ReZWahEgx8DBUj/\nXvkEI2rvjlEuzVc5erZRzFFP7vFO2tAcfKgVnIsLlcgKSme16Z8r7j6oBP1vMplMKgXnlntPkQG+\n99mq72OSInfyvPLxP/mqXWQyGcZG8okxONqwOZ6im3pSDaFWhpN2oc3MN9cW0r9fs4Gjxndgt2ng\nbMjpYc2JGziDaNfQqKvT/mFpNts079NwLDWH4+eWOHRgklw20zkGx40pOD3E4BTzOcNFlW7/cuii\niveiClSpDobSfYen+dZRlX3ZCf37JCUT/NMdj/HBTz/UVX/CuuNSyOfYHjRy7jWTqlZ3wwbQ1kU1\nGDbkDKZXF0mrmyWjEebYSGcDJ5vJ8KrveyLPuX4vuzs03/R9n8XlWlNqtA56rdZdXM9vWz9E38CD\nUnC2B6mEepLVrof9u5Tb5/Ip1b/0zKWoS6ISBAOOlnKde1HlGpNVtab22797DN9v9GQCeDxodXB+\nttyYeHOZcLILXVQJro+pHSN4vo880ZigqoFCp2Vu08Axi5q5rheOo1pzI8aGXrFOBr9ZkoKj3Zed\n6uAcPbvAkdPz3HDt7tCA1L2xzM/89rEZAJ58aCegrsOa4zU9CLUhfSJFsGNSDaHx0QKVmttkkLVX\ncNzE9/SDNGLg2BicVNSc5muqX9IqOEmuYNMoefzMAp7v84SDOygWco32Lh0+V8fgpI2h0TQUnPb9\n4mYWKvyfrx4LFyPlVi6qlAqOPk9pXP96oZW0kNGFUbtJCqg5HsW8UnCgt0BjHSawc6JINpOxQcYD\nYkMaOKGCE3tY+b4fMXDGjWJ8rdLETXZt0xlVyQrO42cWWKk6YfNMk3wuG94UrdxhMLiO4vqzdK2E\nUMEJqtDuDVwNk0GsUNygqtaUcpHP56i7hoKTEIOTyzYmq0pd7WdmPmlmgyqe1ZobHi8fVDLWr0Oz\niwoamVSu54dxQNVadKVlKj/5XCZ86F+cr0RkeTMOR6dwTgaTT1z1W6o4jAeGcKc6OLcFGVovCdQb\nzWgpqtBoA+dJQZr+2EhzQ8664xltLzorOGE3ccM41Aa8+dmu53FxLtldBw2Dby52ja9UHUqFXFg2\nAayCkxZ9vYSB32vootLGfzabicTKabQiet3l2ykWsk3GWNPnxhScbrKovCDYupDPRRr0JvG5e07y\ngU8+wInzyrjXinRSs03obGjpe6sbAyd+n7uex7mgnUwnV55J3VFhCVrB6UV9acQ+5ZkYK9g08QGx\nIWewVkHG5apSUJIVnM5F/HTA8aUWCs5Xv6WCNp/35P1N7+VzmfAm65QmrsbavYHz6Tsf57/9+ddw\nXC/8LL1q0AFz2j2xP1AYWrnzKjWXUjFHIZdVCk67Vg2xGJySYeCYmTra7VGpO5GJV68sW8XgQMPA\ngUb3db296zarF3nDRXUuyKDShqX5++kJfTIozBjvol6tuWHRxk4FBM9cXCaXzfDkq3dFXjeLN9Yd\nl4Md6YkAACAASURBVMOn5jk4NR6qa2EgsuFOujRfDgNT0yg4rVxUQMRNZRp7yxWn6XfX/9dNYzWV\nqstoKceOiUZMmlVw0lGPq4QDMHBqoYHTfp4wXcva+DWNfV1gcsdEiVI+lzpNvBcDxzT0ch0ME20E\naLWjXHPJ0LwQzaVVcLowcPS8Er/Pp+cq4ed0Ok8mNcel0KeCoz9PxfIUbJDxgNiQBo5+kJWbVuPR\nKsPjpoGTImAyrImTYOA4rsfdj5xncqzAU67e2fR+PpcNHzSDUnBq9Wg7iiOn5zl9cZlzl1bC/UMF\nJ5hcLs1XVER/oEa1KopYqbmUCipzyHE7pYkHk0yQRVUq5NiboODMGQqOY0rnMQUn2UXVMHCeeMWO\nyPahemEqOEGauO/7nA0aUT7h4HYg+vvV4gqOMXHpgERtEHdScJYDtSeeaTZWyoWVpY+cmqfueGGR\nRWhch6bSYrr2ZherHYMK9QRuPgDGg1IFZqBxPDtqJmbIaIMvrlKuBJW8dxpB9zbIOB3a+NSZlYPI\nourFRaUzjkyjJEwKKOaUgpM2TbyoC/WlVzL0Q7qUzyW6y0z0XK1b65SrDiOlXNO9lc+2d3VpyqGL\nqvO5b6Xg6FITkF7B8X2fel25qPpRcKph/aEck2NFylVnYFXKtzIb0sBpVQdHZ1A1FJzuXFQ7Jkpk\nM5nEIONvH5tlcaXOd16/L7HTdD6XQdsi7R4MrdKK48wsVPi1P/kS/+fuk+FrerI7fXGZlYrK/tEP\nuTAoMXAh6YmiURQx5qKqu4wU8xRyGeqOF05ESQpOzpg4q4FhFCo4QbxHpeaEk4vpotKtGvRnQnKQ\nsWngPOHgjsj2SQUC92wfwffh1PQy5wID5/qrlOFpKjjh6jpBwdEGjnbjFTqsFsuVOqMjza0pdN+d\nuuPx7eOzQCP+BhpKotmuQRuG+lrtpOLoFiSTRosQ3Q9tyVBwdJD5ZXtU7FX8WtYPuLml5hic0VKe\nHRON8gdFmyaeCid+jQ0iyLhbAyeXjSxENGGdp0KOYiHX0UUVV3C6CTLWYy4Ush0NE23s695+5aqT\nqLK3qi5+232nuNsogxAqOCnin1oFGZsGTr3DedI4rkqAKOaz4WJzfrn7hpu1mqHgBMex/aj6J1Uv\nKiFEFng38BpgEvgs8PqgsWbS9s9BdfJ9JnAK+F0p5cdi27wN+CVgD3Av8EYp5QNpxtOIwYlezEvl\naBuF8RRBxibZbIadk8WmVS/AV799DoDnPWVf4r5mjZZ2Co4eR6csqgcfv0Sl5kZXFXVt4CyFK+54\nanO1Fi00GH6eMVG6nnoYK0Moeux2WVR1x6MW7Dc5VqBUzIUPajMrp1J3I9kduaYsquYH5/aJIoV8\nllIhFwa6xoMBzf1uuHo3X/3WeR56/BJnA9VCXKkMI/Oh3nBRJSg4sc7w5vf0fZ9b7zvNM5+wh13b\nRvB9n+WKwx7DENOYmVTfPjZLLpsJVSgwY3AMV1Jw3p527W7ueugcJ88v8ZRDUdeXiVZ4Jo36S+PB\ndb5sTIQ6ButJV+3kzMXliLHn+374O5erbth/TTVu9RktqtVjNqMKM9oYnHS0M6J7PmaXWVTZbCY0\nBkwFR49lpJSjmFeB+e16Zel7rRTWwUmvIuh7q5jPRRITktDXrJ6zKzU3sfdSq3o6f3/rEXZvH+E7\nn6Tm415icOJp4tG5Nt331oZQIZ8LXdK9uKiqRg9D/dssLNciiqqle9LOYO9EdeT9aeAm4CDwj0kb\nCiH2oAygr6MMnD8BPiqEeImxzTtQzfJ+NdjmNPAfQojxNIMptciiClfkwcMsTRZVnF3bRphdrEak\n2bmlKt84fJG9O0a55rJtifuZD992D4a0Cs7DgRJgrgZDBWd6mZVKnbFSvim1uRa4kDRJ8Uq62J1y\nUUXbXrSLwWnEGKm06n07RrkwW8b3/UjQarXmNpWQ15+RIdmIymYy/OSLr+MnXnRdwygLFZzmLKqn\nXLOLDMoQPHdxhWI+y1X7JslmMrEYHO0+aI6PWGzlonI9jp1b5ObPH+Zz95wMzqvKcjCvKY12Oy4s\n1zhxfpEr901GVqNJLipt4DzjOlVt+sSF9oHGi+V6U/2l8QRlSLuonhSoWTMxNct8TGijNKxBUsqT\nzWZCqd26qNIRZuqFgez9Z1GlLfRnBvMn1cHRRkcpUHDUeFsf0wx2he5icLRRUMx3zqLS1+zSSh0/\nqJ8VTxGHaBFV8zvVHC9y3evzlCY7Ne761kRdVOmM1JoRd6SqoWcTa1N1PI5x7vR1tNlq4Rw5Nc9f\nfeaRgfcWa0dHA0cIUQDeCLxNSnmrlPJ+VCfwG4UQSR3DfxGYk1L+mpTysJTyA8DHgd8IjjeOMm7e\nLKX8VynloyglpwI8K82gWwUZaxeVDr7Uf7drfhl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Zh8X2YrxrbEyQQCQJtETBURqF0Yxm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DAAAg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\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h9LXl9qdK/AyGuBgkNcVXBhzVDPNggQAcRvX6nYwpDU3LxIMpqm6RTqpwXUIXDhrgsC9q\nP7nqfkJkcKKdjJXI54c0OANMUQF+kBqsolotN5BJqn3fp/e/6QTu/snXbepaJjSZA5GobuKA17ai\nTjU4Hcv1hSaO3cTpQ3Q8i434VkoNziglaKsGFvEpKnKc2WIVmaTqS0/u4fgWgDcGHnsTgPu7vXCt\n1MBQRu+424/qFn1+oYRsSsOBAhFq+vvCeSkENtcwv5GoFJXI+nbS4Cyu1pBKKJAkD+Dvp816o8q6\nH6Bmbt3Cl6JqWnxMsfEkViWxFMSRfWRxYl44UZ8hrheVP0XVX1onWEUlMlSZlOaVO2+zF464wRmU\nyJjpm4Jd7Vl4ZeL0vgQ0OOuCZub8fAmXlqt8nLBY7lA5KY7h646NAQinqZjuJ53wUlSAlyJlY+nQ\nJFlrd0poPIgVNw3AMU0zCLebiM5zM77/OQDvBPBJAD8K4DP9vKmvmqeTBieh+ui4KAbmQCEDcRoT\nEb4kka6wLUrB9btwst1zpd4eqMAY8MrVo8rEBxGRGpwOzBmbVFlprdeqYcAMTirM4DDWw3X7Z28A\nhJqD9hNMfOk4bgeRsV+D0wns+jQ47S4pKkrpm0IjPqLBoVVUml+DFpuiErQmR6Zyu1Jg3C0Mw9AM\nw5ikaXOAlJMXDMP4A8MwThqG8dMAPgDgN7sda73S6qi/AYRyfgpqK/U2iusNHJnK4e23HQLgF3Uz\ncLlSamBhtQZFlrh2L6qKijhYMw1OdBVV23KwvNHAwUIWx6eH+eP7aaNfJjJmC5AE4BFzKbJ8vFRt\n4Q+/9CyvghJ1E6IGZzRHvl9B4SjgMX/sGMR6wW+1EPoMYin5JhtU2q5fgyNugLMpDZlE2El6O4JX\nhMliq4atiYyrAYATrITUOMDxi4zZZ63WiSmgZTucaRYbdwJEMzWc1SO1fgy0HBjP4ACd49cDQuNg\ng2MP4Fi+z3Bo0j8+tjsGkaKqA5ANw5BN0xRHZQIReW7TND9hGMbdpmmyK/ysYRgOgM8bhvFzpml2\nbDfK6KshYREbyvvz0jlhYpreP+Srejq0fziSApsaz2B+mZzu/qk8CpTVAQhD0qALDcvx9hrshrsu\nkBJy9YOIg3Q3MjGWHXg+s1DIIScYvU0U8iiMpJAVfEGmJvMojHo04we/91rccu0+3HRqEgAgaVRc\nmdIHen5Twr0p0Hx0XkjH7Rsf/PXoFOya5IfTSNBFbGw04zuHBv1m3PfkHBotGxM0nx4VebqAZHNJ\ntF0ydkdjnr9vgjzG9GNTY2ksrdZQGElDkoAD+4fgCpPWgamhyOMcoqXPAHDq2PiOXr8tRHDleB2A\nrwP4bgD3maa5ZBjG2wH8d5BqqhkAHzRN85voEo7jdqygArxFlC1gMzRNeHgqh9uvmcS9j83iuKDP\nu+bICL768AXc809nsFFtYWIkxTcDQQbHdV202w43+IsTGS+t1+G65L4XRjM4Rxeu8aEUdNVrvsjY\nluuOj+GpF1fw+Nmiz+8EAL79/CK+/dwiDk1m8Y7bD3OfFYAsYGwuG8klcGm56vOYYQBncjSNhK5w\nLxwRzCuyDEWWOjM4XPPYHyjoxOBkU9FO0tsRYpk4Z/+36GRc7sDgiIUrQZGx+Fkr9bavj9mZi+t4\nww376Tk7WCk1cPyANweIwRicqw8Oc6Y3KFyuhRgctqFjDA75+4ECKX7ZKbO/QQCci/TnPvjTVPsR\nTlsBAARww+Jp+vMggI4Ah+UHG8Luot2yfHlD2/I6Oq+tViFJEhKagmbbht22IvOh+0fTHODUKg0U\nhblTkSWU2A11wznKTiEORgn9vbZbDCcV/NS/PY1Th0cGelwxz5xPayjV2thYrwKWhabgBlou1SEH\nKiIOj6f5a9uWg3xGx2hWH+j5ya43YZRLdQDDaAqTbSapDPT9ugadwObmN1Cm4tRKqeE7B8myMZTR\n0WzbOLY/j3e+/ljsObbowrK8WuU9txr1VuTzFbpzbbVtJHUFRyZzWFipYXaxjISmYHm5grpAJ1vN\nduRxJGESnsgnIp+z20CPaZpvCvz+TRB9n/jYwwDu2MzxhzPdGBy6GNNrd57qDI5M5aEqHGay/AAA\nIABJREFUMn75R27xMWGnj43hbbcexD89QqbMk4eGaesMyVdmDZCF0oVnARHX5oB56UyOpnH91QX8\n1TfOIZvSkNAVsjELdP9+883TeOrFFTxmhgEOq6Bj1TliOqfesNBI+nsN+RdQ0oNOVWQUhpJY3qgT\nkBYwz1QjuqL7fXCoc3zfKSryU5biUlQ7w+AwNs9n9LdFBieYohJ1giKzm0r6GRzx/pSqLd819TG+\n5SZcFyjEpKUZI37NkVGw4RxkcFjrjlQyJkVFP0MupWMkl9ixFNUgAM6TACoA7gTw5wBgGMYRAEcQ\nNtmCYRhfAKCZpvke4eFbQVJa53p90zhHXUBsH6/wCSaVIAAnTiQ8PZHFY9QQKVhKrSoy1mtNesz+\n0i2iwHPQKSpJknCzMTHQYwZjbCiJUq0d7YPTRVOkqTLu/onXDj5F5RMZ0yoqISXUrwfOVoO3+2jb\nQqsGf4onoSv4rZ96PSSJCrI7iBUVYWLsVkWVy3jjed9YmqcVqw2LGzV288EB/Cmqw68MgfGWI9/F\nDVs0ZAQQKrGPSvO9967jOD9fwpnZDUyNprntQTBF1RZcjIF4Dc7CKtmUTY2mceroGBKaginKqiZ1\nz76A7bCP7stDU2VfOwcWjIFiho8hDQ5drDjAETYV1Uabp+DGh1KYLVZ5Q8hkoPdfsJ9Wm7Ment9P\n3ymqGCdjAMgm1Ugn6e0IS2jVIMsSJGk7NDhic2AB4OhBgCNsRuttNJredV/eaGC11MBoPinob6K9\n3F53egqFoSROHh6JLRUPaXCE3nuA6OqtYnwoiRcurG9LZXEwtgxwTNNsGYbx+wD+m2EYKwCKAH4P\nwDdM03yY5sNHAayaptkG8cf5vGEYPwvg7wDcBOBuAHebptlzH/WORn+s+ZgwsacSKjaqLe4lEIxp\nmvaQgJDORqN9jhDxt27hAzjbfDO3I04eHkGl3vZKvmN8cOIiKqe71YjywRHPazManK2ELiw+cc02\ngWh31ajgRn9imbgSfR1F24Op0YzvszOamAB9kiaNqxLLZzRIIJPnbmzRcDliuEuKKuhzcn6hjFxa\n62hRoCoyfuLdp/E3//oSvut6UuCVTekhTULQ4DFOv8Ka4U6NppHQFPyfP3QTn/cSusIZwDrXSCiR\ngKrZtjFHGWzG4IisUq1pcd0OG2PBFAjTZzAvleJ6PSSo12IYHFWRqN7Rs+XoJ5yABifI4ER1c99s\nNNs2FldrGBtKhkT7YqsGgKwdW9XgcIBDv+sJjbB+tuP65mBZlpDUFd5GQwSg5VqLM3KHp3KYWSjj\nzOw67rhminsWxZnVqoqMU0dGAXisJhsjX/32BTz07AK/3iENTtOfosokNV6du1puYLIPK4DNxKB6\nUf0SPdb/AKAB+EcAH6d/C+bFv0grpn4ewK8CWALw26Zp/kY/b9hJ7Mp+F8HIrScnsFpqxi4yByfI\nlzOhK6Gdl6+3Vb8Ax0cnbr9z46DjvXcex/vuOsF/F5mcQTMzvYbI4ASN/gB/eftOhNew1Y5t1dBP\ncGbAcflut5vIGKAMjrC4Jul5SZKElK7Cdt3Ye6bIMl53egoj+cSeFBhvRwx1Y3AEx2nmAH3dsbGu\n128om8CH33GK/55La5gtVnw7WgZwuAN6jMh4YbUGmVo0AH72jaXlAc91WJFl5NI65pervl5Ss8UK\ndwPmDE4gRVXnImMyxhhoarZJAQZjGFixwcWlSmiXrqkKGoFmkG3LCX2P27aD586v4rEzRfzgm6/q\nOtd41YuUwRHuQTaleW0MBsDg3PM1E/fTSrSRXAK/+EM3YYJef1vQ4ADku7xlBoeCUbY5kSSJm+8F\n54VUQkWtSWxJRGBVrra5ke1tpyYws1DG2YsbuOOaKe4dVogw+QsGm2/YGPmX71zi7vGA952JSlEp\nFIAxlnllY48AHFpB9fP0X/BvUXnxewDcs5X3FAd8XBWV6Ej87jcc63i88eEUEprie03Ue/VbRiyW\nqHfqA7VbIzhZswnkcrJRIoPjpai889npFJXYRDCum3g/oYpVVIGFLhjitdg3lvYxOGKqdSSfCEty\nA/GR77tms6f8ioyhXjU4toPzC4S630x6j93DSr3N0z9tCky0QDuWKIBTGE5GAoCEppB+ZraDWsPi\nc1E+rWPGKqPZtjnLx9JrgNd0tdpoYyijY6Pa8jE4ubQOVZE4QxCs8jlBBetnL67DdtzQXF2OZHD8\nTJVlO/j645fw+JkiTh0awS0nO6finQ5OxtmUxlMmg0hRnb20wVOBM4tlvDS3wQEObyEje6nzraeo\niMBbvI7ppBYJcNIJFeuVJgdyI7kE1spNlOstDkpuOD6Ov/vWy7ySqtglRSWGppJmmhvVFmqNNpbW\n6zh5aBjveeNxlGotHKNVgSndn6KqNCzShFOSOMDZiaabe2/FpdEpVeKZnPWO32RJwgfefCISCImW\n+lticC4T4zHIYBNHN/3NdgbrwQR45eEM6EgAhi+XBoe6hAJbZHBEo78uPjiKLPOFZWos42OvRLD+\n8X97HT7+nus2fU6vxuiVwbFsFxcXidHcZhygme2BmDYKMziM2fF0FJV6G5V6m2tugsHuf6tt00aI\nZC5igEqs3GIAZySXQLNlo9GyUKm3kc/ovNmi18CVeIuxRZSlUDICg5NKKNwVWxy72RRpXVMSPqvI\n8ojtL5hO6L6n5jpdPgBCq4YIkXFW7Oa+xYabjZaF4lodR6Zy+L7XHQbgNbsFPCdzkZHausi4FSoN\n582TA2tKKqmi3rR5Km5yhICWcq3NhcFj+SSO7x/CpeUqNipNLG80oMhSyBg2LoazCawLbV2O7s/j\nxPQQbrq6wDfEUQwOGx8MDAa9eLYj9uyK20urhn7ByJ03HsAbaemc73i+5p1bEBnvQQYnGCpncC5f\nuk2SJL6oq9yAkPzMZ/UdT53x3XXbGUiKSiwv7SYyBkhDSFmSMDGcQiqhhsy2AFJlMxmzEF6JcMhS\ndFsXMSRJoloIB/PUuG9/jDtrp+CAQ6wMjdPgCGzA4qpXQRUVbP5rtGzUmzafi9jnEkHGzGIZmirz\nZosrpSYaLRuZpIp0UkWt2ebprgR1x2YMTlAEK8sSju3LY6XE2ql4Y/eGE+NwATxueh2uRZ0OT1FZ\nDm94+uxLq12rboJl4kpIg8NSVFsDOBcXy3BBNJssXSMKboMaHEWWtlQm7rouKnUL2ZR/LDKhcRSD\n47gu116xsVGqEgYnlVCR0BXcbJDeel95cAbL63WMDSV71ggOZXXUmxbOUuf/I1Ph9j9imbjjuj4R\nOgPkbPxuZ+zZFbcXDU5UumkzIaaWtpKieiUAHJZ62S5zwV6DLQrB3P1O628Ab0w0LdvXbG+zIZaX\nWj0AnB+46zg+9HaDP4elqfoF+FfCi6MHhnqa8BXatXsxoIXpJzxGRWRwWBVVAOAInbiZG/LUWAzA\nofNfqdaC47oc4LDKuzJlHtqWg0vFKg5OZLlAmllmZFIaZ2vYbjypK7yJMBAGOAB8niri2L2Vppoe\nfn6RP2bZLp9jGdBptCyUqi0ijgdw/9PzkZ+RRShFRZkESSJgQFMV6Kq85RTVDK0iOjCR4T5JrE0B\nIHQTF+alrYiMm23ifB5sk8HAQjArwO6xKByWZQnlehvr5Sb3sXnjDfsxMZzCN75zCaVaO7ZEPCpY\n6vbJF0m7kai0LFt76y0LjabtK3DIZ3QkdQULax7AqdTb21LCv2dXXNH+vxcNzlbCz+BsRWS8Zy83\nDzZxXO7PcnAih3Fh18EmlJ3W3wABBieQg99MRHYT7wCYbjwx7mMemdB4Kz13Xu1x908HOzxEhyrL\nsG0HC6s1jMdoYboFq44RU0aegzXT4FCRsR0GOPu6MDhrlElhu/5gSuzScgW24+LwZI7bBczS3lLZ\nlIZUkrA1DNDotP1N23LQtmye9hFdsk/EAJzRfBJXTQ/BvLCOFVo51hbcjhnQYUaBN54YR0JT8K2n\n53mlVFQwD7sgg5NJanzOSifVrouo67o+Q7xgsLTM9LjI4HgARywTB1iKqncGJ+iH5IFH/3c5jsEJ\nApxsSkM+rWOt1EC1YfH7qyoyfuCu45xxHu8DmDOQdJ727osCR2IVlVciTkCZJEmYHE1jcbXO7+n/\n9eeP43e/+FTP59Br7NkZ0NeqIaYXVdDPZrPhq6Lq85jb6YNzOYItvsE+VDsdH/m+U75SUgZ4d7pE\nHBA1OINJUXENjuOGyoV7iVE64Qxq/O+mMAxDBvBrAH4EQA7AVwH8lGmaSzHP/wsA7wUhAthNudc0\nzbd1ep9er7eqSCjV2ijX2rztQr+RoxN/RQA4LD0T6kXV9jQ48yuMwclEHpcBHCYu5SkqyuCwFBVb\ntA9P5fgu+xJjcJKEwXFdspAndAWyJCFFGYRa045kcI7tz0MCuehB0HfbqUmcnd3A/U/O4bWnJkjz\n2QATu7TGUn4ZZFIavvXUPP7Ln3wbB8YzuP2aSZ/eAxA0OAGRsa9VRkrjqZu4+IeHZvDVb1/Ab/z4\nayP7tjEzxwOFDJI66XlXqogAx5+iUhWpZ9PCZ15ewf/9hSfx499/LW6jbvDetfWnqNh9CjM45J4z\n24F0QsVQVuf3WPS7usUo4Nj+PF6aK/VlDcFamLggrReiqgZFHxwOcITrOTWaxsxCGaulBpK6itli\nFaePjfZ8Dr3Gnl1xO4qMtf5Fxp1C3QKDIzoZX27WYxDBrvvlTlHJkuRLF06NkdYEV01H241vZ3g+\nOF6ZuKpsHuBEVVH1o3liabpBMZi7LP4rgA8C+GEAbwBp9vuXHZ5/GsAvgDitT9F/7xvUySiKzFMU\nmy15DWpwLi1X8ZfffBG6KuPao2TSl2Wi9xEXy/mVKtIJFfkY81J2/9cowPFExn7G6OISYWsOTWb5\n4jXHU1Sepmut3OTWA2necLONCi0nFwFOOqlhP204Gpz3bjk5AUkC/vWJS3Bc11dpxRZsVno8lk/i\nHbcfwokDQ1grN/GoWcTv/c0z+NU/e8xX+RVMUbF5SmQ+MjTV1okJemFmDdWGhQtUNB6MmfkSxvJJ\nDhaHMjo2hNQi//7L/YuMX5ghVU1//8B5uPQcYxkc2lsrSoMDgLdCSCdVX0+14ZwHlCRJwg+99WpM\nFzK8iWYvMSyI7+OqBtMJFamEiotLFW43IDJ8TPy8uFrnFYhHtsFgdA8zOPEA56oDw3jLzdO445rJ\ngbzXVgCOrsqQJQmO676yAM4u8/TZN5bBZ/7jXVsCFpsNDnB8Kaqta3As2+XCzn7Gzj6qyejWS2mv\nBTUN/Q8APm6a5tfpYx8A8LJhGHeYpvlQ4Pk6gBMAHoljeLYa4kYrTgvTLbwUFSm9/X//6ik0WzY+\n9q5rfRVSmirz1JXtOFii1TxxvjuMwWMpKra7D2p+GJiYHEnzdBMzEMwmNZ5mb1sOkjkGcMgx6iKD\nE2A8ju8fwqViNcQyDGV0nDw0gudn1nglDUtNsYrVVXrOo/kE9o1l8J8/eDNc18XcchVfuv88Hnlh\nCX/y5efw6R+9nZ4b+Z6IvajecfshHJz0+talkxpcEP+eKHYG8FJjC6s1nDo84vtbudbCWrmJ6497\nYCCf0fHSXAmO40KWvZJw0WHddkip/n1PztFqpSSuPjgU2oCztOClYhVPv7SK64+PcVYvm45mcILW\nI+lAiiqdVH1eWcOBBrJH9+XxqY/cHnkt4kKcV+JAiSxLOHV4BI+fKeJlynqJ15yJnxdWa7w67/Dk\n5hjQTrFnV1xVrKIKfIESuoJ/99arB1Y1Ih6/X+aCdKn2e1ns5WAL924Ea5oqXxaTuqDRn4TeXYuj\nQhEccudWqhjNJ/q63jeeGMfPvO8G3D4ggL+L4kYAWQC8WaZpmjMAzoOwOcE4CeLB9fx2nZC4+Zka\n6V9gDHi785WNBv77Xz2NxbU63nH7odD9I20OyAK6vN6A7bixJeKAoMFhDA5dYHK8ioosnsW1OjfD\nY6XxjOVgImN+TDqXMdBTa7ZDGgsWTIcj2mywuIGChOfOrwJAKEXFgnUuB8hceqCQxU+8+zROHhrG\nnNDwc46m6yaEe/C+7z6BO67x+m0xBiFOaGw7Dmc+oip8LhUJqzUtNPsdyuhwXJeDPCtgE8GkFA8+\ns4B7/ukM/r+vmvidLz6JT/7pI5hf8feini1W+PrytYcvAIgWcAPevYzT4DCn4XRS84GakezWNYq9\ntnW59ggBiA8/T/YWIoPDK6nWajgfaHEyyNh9q1SP0YnBGXRsxckY8HZOe9HoLxieBmfvf5ZBhd/o\nzw31oeo3GHhfrzSxUWnhoDCh9hKSJOH642OXzWl6G2Oa/gw28Z0DadQbjNMA2gA+ZRjGjGEYLxiG\n8WnqpD6QEBnDzW6oFJmYp51fKOPMxXXccnICP3Dn8dDzhrIJrJYasGxH0N/0AHDKfgYnoSlI6ArK\n1RYcx8XyRoMDA01VfO08WJk4C8Y6iJ2rK4JLrRivuXocN19dwM1Xh036jlHwY14gaZlgFRWLuLYX\nh6dycOGl184vlJFKqNxjJSpY9c8/PHg+ZJgIENaIpZgWogDOMgM4nuYpH6iksoW2E4CnDfzO2WUA\nwPvuOo67XnMAS+t1/OqfPcYBXrXRxmqpiasPDuOaI4TdmlkoxwKceA1OMJWlIi+mqAYAcLwed52v\n9zU0vcoF6yKDI6SoZnpocbLZ2LMzYL89kbYSPqO/Tega2KSwG1mPfoMxE9qVEmQebCFpU6O/raSn\nAA9Esp3N9ER/AOcVHGkADnVOF6MJIEoleS39+RyAdwL4JIAfBfCZQZ0Qu9e6JvdslBYVjFW57dQE\nPvauayIZwKunh9GyHJxfKGOeNtncFyMwBjwNznpAgwMQYXO53sZqmTBBYnm7uAhmAwwOOyYHOE0C\ncLIpLcSeZpIafuo910Xu8g9PZqEqEnfT1SIcyZnfTlQwQ8WZxTJqDQuLqzUcnsx2ZHDffPM0pgtZ\n3PfkPH7jc4/5fIAA+FoOsC7tYrCF+kCAwQG8SirLdn0FMOzzPHd+FUNZHW+//RA+9D0Gfuz7rkHb\nsvGZv3sWtuNglgK1g4Us3n77IQDAlx88HwtwDk3mcPX0UEiYGwVwRMPK4S7mlb1EUlcxXcjixhOd\n25JMDKd84uVMQKOVT2t4eb6E5Y0GDndItW4l9q4Gp4PR36BjKxocwJsU4hom7qVQ5SsMTjDY+PvO\n2WWUa/HOsr0GG29skj14BeCwqAOQDcOQTdMUt+AJANXgk03T/IRhGHebprlOH3rWMAwHpNnvz5mm\nudbpzQqF7pR5ku6kpws5TExsXkPw/rdejbnlKn7oe07GeijdcnoK//z4LGZXalinHjbXnCj4zlP8\n/yRNU9Rpw8P9k0P872NDKbx4aR0tl3yfj+z3/lYYSXO24tD0CCqC985QLolCIYepSfL3s5dKWC83\nMTWe6el6iXHswBDOUAYnm0mgUMhBFXb5EyOp2Gt64ykAf/8cFtcbKNHPd82x8Y7nUCjk8Ns/dyd+\n7y+fxL88Nov7n13Eh97ptSdpnFvh/1/eqGN4JONbWxbX6lBkCdcZk/zxA9TkzlVk8t4SmRvZeWQo\nAGpZDr7r5CT/PO/67hxmV2v4xwfOY6VqYYMKcU8dH8ddN03jyw/O4DGziEMUHB6eHsZYoJXCb/3s\nXaHPWLM8QXM6qWJyMo8hQTB94ujYQExaf/8X3wTX7Z6Kv/nUJL720AwA4OD+YRTGPUA+PZnDcy8T\nBqvbvdts7F2Aw6z5pa2V5PYSbDDL1Lm032Alc68EBoeJ3brZ2L+agmlwyrU2xoeS+Ml3n97S8RiI\nZFPVFYDD4yL9uQ/+NNV+hNNWAAAB3LB4mv48CKAjwCkWy53+DABwmY/IUKKn58fFDUdHccPRUayu\nhnAajylK4X/nhSXUmxZkSYLqOvx9C4Wc7xzqVX9JdLPe5H9P6aRP1VNUe53WZd/fWDSqTbSbXvm6\nRN+vTXU3Dz49D1mS8OabDvT9+Y3DoxzgWJaNYrHscxrOp/XYY+pwkdAUnJlZxThlziZ6vAfvv/M4\nvvXEJXz76Xm841Yvs/nSLBkOxKOlhufOLvHGoY7j4uX5Eg5MZLG+5t0jmboUz86XUCyW0WjZkCWJ\nn4ctlPWf2O+/P1ftz+MfAdz32EWuYxpKqlheruDfvPYIfuvCE7hAWdxmrYViq7tJYaPm3fOUrqJY\nLHOWKZvSsL62/e7BYhwX2Dsy/jywPCowhYVcwjeOBxV7dsUVm7Ntt7BU5b46m3svzuC8AgDOgfEM\nPvnvb8Vbbo6SPLw6I51QMTWaxvXHx/DLH751yyklcQevq/K2d9zdQ/EkgAqAO9kDhmEcAXAEwH3B\nJxuG8QXDMP468PCtICmtc4M4Ibbh2Yl7NJRNYHI0jbOz65hfqaIwkuqoswqm00XLiiytpHpxjtjt\nT/hSVGRBTGgKNFXmFVPkMbJZY3qJydE0PvGhm/GG68MtbrqFccirUooSGXcy7ZRlCQcns5hbruHs\nLAFJvTY6TegKjIPDuLBU4fokgIitAeA6qh0RhcZzK1U0WzauPuivrMpn/e0abMG0EPC+yxKAa474\n00mnDo1AVWQ89eIKZpcqUGSJV0Bec2QExsFhfr69rh1iioppp1iZ+CDSU/3GycMjkCTy+YPps8lR\nb8xth8AY2MsMDtOC7ICQkr1Hv20aWLySAA5A8r9XwgtZlvBrP3b7wIC2KFI+UMhsqSLrlRSmabYM\nw/h9AP/NMIwVAEUAvwfgG6ZpPkzLyEcBrJqm2Qbxx/m8YRg/C+DvANwE4G4Ad5umOZCtLFuQt5qW\n7DWMg8O470nSfPKq6eGOz00G5ismMga8flQvzZES3gkBoDENDqt68YuMyTHGh1L49Y/eQSv8Njcv\nGkIZNm9tEHA97hSHJ3M4N7uBp15c6Sp4DcZ1x8fx7Pk1PPPSCt5AXcCL6w1oqgzj0AjufWzWJzRm\n18kIlI4Ppf0iY8t2fOsEAzuHpnKh3mYJXcHJQ8N45uVVqIqEqbE0vw6SJOE9dx7Dr9/zeKj8vlMk\ndIUbLDIh8kguAQmXxwQ1m9Jw+ugY1spN7ijNgn1nsqntERgDe5jB4QBnB0DDZpt3smACwjjB3JXY\n+zFIFlG0QLiSngrFLwH4HID/AeCfAbwMz7jvdSAVVa8FANM0vwjgw/Tf0yDg5rdN0/yVQZ0MW8A2\n64HTb7BdfS/vKS60siT55i9mDrhWbkJVZF/Kmf2f+ZZEiYwBwt5sRc8xOZrm58GuoygD6NZ2hQmN\nbcft6AcUFczL5qmXPN1Ncb2OwnCKsyjzPoBDmK4gwAm2a7Bs18dCsf+fPhrt0nsdPQ/LdkPVkldN\nD+Ndrz+C77mtd7ZcliS+zrCf2bSOH3vXNZGVeTsRH3/PdfgvP3JL6HFWddjvvesn9uyKy3a5OwFw\neIpqkwDne247hCNTOezfoUnwSuztECnu6T5LxF/pQSuofp7+C/7tmyC+N+Jj9wC4Z7vOZ99YBi/O\nlfiiuN1xtQBw4npQsRDnq1RC8S0iOYFNKAwnfbtrxuCwyp1UDMDZakiShGP7h/DEuWXfPK4qMmzH\n7s7gCGmNflMckyMpTAyn8OzLq7BsB42WjVrTwlXTQygMpyBJ/hTVi3MlJDQFhyZzPp2UrpFKLwZw\nbMfx9UlkAOjGE+OR53H98TF8/t6zAAhbG4x3v+FYX58LAO/0LhrriX5AOx1xa/SB8Qze9fojON2H\ni3K/sWcBjixJkNCfhf1mY6sAZyij894iV+JKdAtxB3iFwdnd8Z47j+H7v+vIjsxDADA2lMT4UBLL\nG42OJeIASZ3qmoxW2/n/2XvzMFmuuuD/0+vsM3eb5N7sBMIJELYYCAkR2Xf4KYqIiiAq+KKvBISI\nJq9AAEV5VVaNbCogEIIQQF8iEhJIQvZAcrPcc3Oz3Zvcbe6dO/v0Vl2/P06d6lPVVb1M18x095zP\n88wzM9XVVaerq77ne75rnfVYdxQH6jqgbxrTLqpaMTldZDDpBq6nnzCuFJyA1SNFsRxfA0ezw3Pp\nVJxqy/E3mlQqxVMfv5Wrb3+UPY/O+vFKk5uHyGXTTE4M+S6q5WKF/VOLPPHkTZEZbuMjecNFFUwT\nf9HZJ/GkUzfH9ik7fvMwx28e4tCx5cSedf1dm67FbiSVSq1IgWuHnnVRpVIpMpnUmpTmz3l1cAbW\nuf+SZWOQTqf8rpBWwelu0qnUmik3mrOfOMnIYDZyxR9GL8rCk50ZDxKOXZmcGOQNL3wCr3zOKf42\nPWkm3cD1nDOPY8fWYZ5gxBPpOByzinEU2Uyak49T12AlQaraTfWz+48w5dXA0cre8VuGmV9SVZof\nPjCHC5x+YrSSMjGSZ2GpTLHkUKkEg4wH8pmmTVjPf+oOhgayK27WGkb3Cet2BWct6Okr8JJnnVy3\n+lgNOg0ytljaJZNJMzGSC2S+WCwAr3/B4/nlX3xcS9aUgVyGecqBOBoIu6iCMjSVSvGyZ58S2DY8\nqNwwSTdw3b5lmI/8wXMC2/JZVdm5FWXqtc99HA/sn1vRPHDmKZuYGMlzzc8eZX5ZVVvWx9m+ZZid\nDx7l4PQSD3q9lE7fEd3Id3wkjwv86GeP4gKPP7G9hr+vPu9UXvmcUzouEKrRymhcv62NRE8rOK9/\n/hPW5Dx6RZH06sViieP/u+A0v7S8xWKSSafJ5FubDLVCUueiMjqQT7bQQ2t4lSw4UfzK805vuQP3\n05+wjafHxLc0I5fN8DsvF3zqP3Zy0z2HgJo1S1vHrrppr9//6/QT4i04AN+/aS8p4PnPPLGtcaRS\nKTIJBtlqy01Yqd2I2CvQAp3G4Fgs7fKq805b7yFY+oCBUGsFTTaTZtgLRm3F+qGbayYdgxPFWgbE\nPvOMSZ771O3csPMggN9a4NwnH89P7z7I7bunABUPFNeKQwcSLyyXedrjt7aVrr4a9EoMzlpgg0pa\nYHLTEJvHBmI1eIvFYulG9KJsKGKy01acyYnm9VEmRvKkgNE+nDTf+KInsnV8gB3bUq1DAAAgAElE\nQVRbh/0whIFchnf9+tN5stcR+/QG8THaggPwwrPbs96sBtu8lg7bWvhe+53+u1tXgdGhHP/3Heev\nesVki8ViSRI/yDjCXXH+U3dwdHa5pdjCX77gdM4Rx/lVcfuJ4cEs7//dZ1N1g26xgVyGd/7a07jq\nln0884x4N5hWcLZNDHLW41Yv5blVXvQLJ/Lk0zYHmoJuVBJRcIQQaeAjwJuBMeAq4I+k9Bqd1O9/\nDvBx4JnAo8CHpZRfTmIsq4VVbiyW9WcjyJokCXf/NnnN+ae1fJytE4Ns7WOLQLhbtyaXzTS9Tqcc\nP8boUI7XnH9aV1Qdz2Uzttq8R1Iuqg8CbwJ+G/hF4CRUmfQ6hBDbUELpNpTQ+RTwBSHEixMai8Vi\n6V+srGkD30VlA05Xjc1jA3ziTy7wWz5YuoeO73qv/8ufAH8spfyRt+03gIeEEM+RUt4UessfADNS\nygu9/3cLIc4G3gP8sNPxWCyW/sTKmvYZiMmisiSLtfB3J0lYcJ4BjAI/1huklI8AD6NWWGEuoL7z\n77XAcxMYi8Vi6V+srGkTXQvFTAu3WDYKSSg4J3m/Hwtt3w9EdQk7KWbfYSFEdEcyi8VisbKmbX7p\nGSfw1lc+qWnncYulH0nCbjkMVL0meCZFICoqbRgoROxLzP4Wi8UCVta0zdhwnguetmO9h2GxrAtJ\nWHCWgbSX3WAyACzG7B/ONdT/R+1vsVgsYGWNxWJpgyQsOPu83zsImoNPoN48rPcPLylOABaklLNN\nzpWanOy99Dc75tWn18YLvTnmdcbKmib02ph7bbxgx9xLJGHBuRNYAH5JbxBCnAacRn2AH8D1wPNC\n214I3JDAWCwWS/9iZY3FYmmZlOu21tSsEUKIv0YV3vpdYAr4DLAkpXyRl9q5BZiWUpaFEMcBu4DL\ngU8ALwE+BrxMSvnjyBNYLBYLVtZYLJbWSarQ3yXAvwNfBq4GHgJe7712Pipz4TwAr+Loy1GFt+4A\n3gG8yQoci8XSAlbWWCyWlkjEgmOxWCwWi8XSTdhu4haLxWKxWPoOq+BYLBaLxWLpO3qiQUm7HYTX\nGi+Y8WOoIMYh4GbgT6WU93ivvxT4G0AAu4H3SSmvWqfh1iGEeA5wHfAiKeVPvG1dOWYhxO8D70VV\nrr0XeK+U8hrvta4asxBi2BvP61BF525E3Rf3ea9323gvA9JSyrcZ2xqOUQgxiQr0fQlQAv4F+Asp\nZXUtx54E3S5noLdljZUzq0cvyZq1lDO9YsFpuYPwWiOESAFXAk8AXoMKcJwFrhZCbBZCPBn4DiqT\n4xnAd4ErhRBPWqchB/AejC9j3AvdOmYhxJuBTwN/BZyF6kn0XSHEKV065k+i0pJ/FXgOqqru94UQ\n+W4brxDiUuBtoW2tjPFbwHGo51JnN31wLca8CnStnIHeljVWzqw6PSFr1lrOdH2QsZf6eQTVQfjL\n3rZTUdkT50d0EF7r8T0DuB14kpRyt7ctD0wDf4hq+PdEKeULjff8CNgtpfzDdRhyACHEP6ME5vOB\nF0gpf+JtO6PbxiyEeAj4VynlB73/U6hr/7eo8XfVdRZCTAEfkFJ+xvv/ScDdwC+g7o11H68Q4nHA\nF4CnAEvA/+iVlbfSih2jEOI8VK2Zx0kp93qv/w5K2E5KKctr9Tk6pdvljDeenpU1Vs6sLt0ua9ZL\nzvSCBafdDsJrzV7g1VrgeGiz2WbUGK8NvedaumDsQohXAq8A/gRIGS9dQJeNWQghgFOBb+htUkpX\nSnm2lPLrdOd1ngLeIISY9Cai30dNRg/SPeM9H3UPPxX1TJk0G+MFwCNa6Bivj6Oe216i2+UM9Kis\nsXJmTeh2WbMucqYXYnDa7SC8pkgpp4Hvhza/E9XM7wfAh+nCsQshtgGfR5n7ZkIvx3VhXs8xPxFw\ngc1CiKtRpuNdKF/tjXTnmN8GfAU4BDio/kcvlVLOCSG6YrxSyn9H1ZVByfYAzcYY9zrePrcmNtDV\np6vlDPSmrLFyZs3oalmzXnKmFyw47XYQXleEEK9F+W7/Tkopie9ovN5jvwy4Ukr5P8Y27a/sxjGP\no1Z//wp8FngZygR7tRDiTLpzzGcAB1Cr1/OB/wa+KYQ4ke4cb5hmY6x7XUpZQd1H3fQ5WqGn5Az0\njKyxcmZt6GVZs2pyphcsOH4H4VDEdFwH4XVDCPEW1EPxVSnln3mb4zoar9vYvSC6ZwBP8zalQr+7\nbsyA9rN+WEp5uff3HwkhLgD+F8qv2zVjFqpH0mdR8Ru3ett+C5WR8S66bLwxNLsP6l4XQmRR91E3\nfY5W6Bk5A70ha6ycWRv6QNasmpzpBQuO2UHYJK6D8LoghLgY+CLwj1LKtxgvxXU0Xs+xvxll9jsk\nhJhHmWBBRd3/E8pX2m1jfgylsd8d2r4LeBzdd53PQT1ft+sN3qrj56hgy24bbxTNxhj3OnTX52iF\nnpAz0FOyxsqZtaHXZc2qyZleUHDa7SC85gghLgIuBS6RUl4Yevl6jLF7vID1HftvAU8Gnu79vMzb\n/nvA/0F1W+62Md+BWok8K7T9ycAe1HV+fui19Rzzo97vp4W2PxlV56HbxhtFs3v3euB0zwyueSEw\nhxKuvUTXyxnoOVlj5cza0OuyZtXkTNeniUPjDsLrOjBACPE0lOb8r6hGgCbzwOnAbcBHga+hHvo/\nBc72/Obrjnfj7AOe76VvnkUXjtmrofAO4A+AncAfoYLrno7yxXbNmIUqGnc9yn/8R6gU5HcBb0QF\nLk5003i9MV8D3G+kbza9D4QQN6BWvP8b2I56Dj4tpfzQmn+ADulmOQO9L2usnFm18faUrFlLOdML\nFhxo3EF4vXkD6jq+FRXZbf5cKKW8G/gVVAGmnwGvRqV6rrvACeFrut06ZinlX6KquP4DcBdwLvAS\nKeWebhuzF8fxalSl2a+hKoueDlwgpdzXbeP1CKx2Whzjr6AyN36CqnPx2V5Ubjy6Wc5Af8gaK2eS\nH2+vyZo1kzM9YcGxWCwWi8ViaYdeseBYLBaLxWKxtIxVcCwWi8VisfQdVsGxWCwWi8XSd1gFx2Kx\nWCwWS99hFRyLxWKxWCx9h1VwLBaLxWKx9B1WwbFYLBaLxdJ3WAXHYrFYLBZL32EVHIvFYrFYLH2H\nVXAsFovFYrH0HVbBsVgsFovF0ndYBcdisVgsFkvfkV3vAVhaRwjxL8CbW9j1X6WUb13t8SSBEOJv\ngN8DBoD3SikvW+fx/ALwUeA8wAF+DLxHSrl7PcdlsawVVs6syXguAP4K+AXgGHAl8H4p5dH1HFe/\nYRWc3uIy4H+M/38ReBvwWeA6Y/sDazmolSKEeBXwXuA/UQ/4dY3f0fH5LgTeCrxNSnlTxOtPBK4B\nFoEPACngPcB1QoinSykPrub4LJYuwcqZzs7XTM48H7gKpdh8GKgC7wJeKIQ4T0o5u5rj20hYBaeH\nkFLeDNys/xdC5FCC50Yp5VfXbWAr52mAC7xPSnnvap9MSvlxIcRzgU8A50bs8i5gBLhASnkXgBDi\nGuAW77U/W+0xWizrjZUzndGCnPkUUAHOk1I+DCCEuBK4C7gYuGi1x7hRsDE4lvVkwPu9uIbn/Dfg\nHCHE4yNeexxwRCs3AFLK24CjwFPXaHwWiyVZukbOCCFOBZ4CfEkrNwBSSgl8j9Zcg5YWsRacPkUI\n8RDKzJwGfhM4AjxDSjkthPhD4HeBJwE54GHgX6SUfxtxnHOB91OLSbkJtRK629jnPOBSaquVG4FL\npJS3NhnfqaiV1UNCiIellKd7r/2id059vFuAD0gprwu9P/LzNbk0/w3MeO/5UOi1+4EXCSG2al+4\nEGILsAnY3+S4FsuGw8qZWOLkzIne77vr3gF7gF8RQpwopXysyfEtLWAtOP3NG1GWh3cCn/OEzoeB\nf0Q9YO8C/hxYBj7qCSQfTwD8GDgTFXh7KWr1ca0Q4hRvn5cA1wJjwCWoh/lk4CeemTaOdwLfNv6+\n0Dvea1FxMCd557vUO97VQohXN/t8zS6IlLIM/If33jB/CzwKfF0I8VQhxFOBrwFF4JPNjm2xbFCs\nnAnRQM5oK9JYxNu2er+3Nzu+pTVSruuu9xgsK0QI8Wbgi8DvSim/FHrtIdTDe5KU8pC3LYtagfyn\nlPK3jX3HgMPAf0spf9nYfjNqxXGWlHLG23YGcC/wdyihtQd4VEr5S8b7hoA7gXkp5S80GP/7gb8E\nHiel3CuEyKBWeRXvnIvefhMoQel6+zpRn6+N6/YC4IfAL0gpfx567W3Ap6lZNyvAr0kpv9vOOSyW\nfsHKmeTkjBfPNAXsllI+29h3AGVBPhF4npTyhnbOZYnGWnD6mz3mQymlrADHAW8P7TcJzAGjeoMQ\nYhJ4FvDvWuh4x7gfOAf4G+CZqLiV7wghtuofVKDu94BnCCF2tDHes1EP+Ke10PHOOYtSOk70zh35\n+drgWpSQCayuhBAfQmWQXIcyLb8JZba+wsvEsFgs9Vg5E821hOSMZ9n5e1R8zr8LIc4SQjwD+CYw\n7O1WWcG5LBHYGJz+5nDEtjLwGs9EK4AzgM2oVYup8J7q/d4TPoCU8k4AIcSLvU0fA/5vaDdtGjwF\nONDieB/nvS+q5sx9qLTtU6lleER9vlZ4Oypw+DfwMqO81dt7UArNi6WUrrf9cuBW4HNCiFM9AWWx\nWGpYORNNnZwBkFJe6smbP0EpPy5KUftb4K+Bpi4wS2tYC05/40Rs+w5wBXAacAPwbuAJqNgTk4z3\nu5EPU+9zCfDi0M9LvJ9dbYw31eA1fa+WjG1Rn68hnv9foIp+newV3AIlgAeAr2vlBvzV6L8Dx6Ni\nBCwWSxArZ0I0kDMASCn/FDgBuAA4zXPZjXvneqTd81misRacDYQXzPdq4INSyg8a2zOoADezcNde\n73ddOrUQ4qOoIlU/9jYtSil/FNrnHGALKrCwVR5GCZ8zUSsakzNRQnAvK0QI8b+A1wCvklK6QohH\nUK6o61GBxFATpiZ6m10QWCxNsHKmoZxBCPEbwAEp5Y9RLizN84DbpZSl8DEtK8MK7I2FjtK/L7T9\nbSj/r6/wSikPoAL43iiEMH3mp6OyCSaB21Bm4T8RQowY+4yjVm9fpD1/8u3e8d7hBSSax3sHsF9K\neUcbx/PxhM4fAb9uWGi+DvyaJ3jvQaWCv8UL+NPvG0TVpjhCdGqnxWIJYuVMvJwBlVX2KSFE2njf\nq1DWnE+v5LyWaBK34AghnoMK0nyRlPInMfucA3wcFTz2KPBhKeWXkx7LBqGRuTXMT1FBfh8XQpyG\nWh29AHgDagUUTl18F6qk+G1CiM+jVjZ/jPIR/62UsiKE+BPUA3yHt08BJchOBn5TSlltdXCh4+lz\nplBm3u3Ar7bxWX08c/EHgXOllAvGS19D+cZfKqX8vhDij1EC8xYhxBdQz8dbgScCvy2lbNtUbUkW\nIcSJKNnxQtQC7Srg3d5EGbW/lTXJYOVME1qRM8D3UYHTVwD/JYT4Fiom6F3ea71YKbprSdSCI4QY\nBr7c6LhCiG14NzNK6HwK+IIRSGZpj0a+68BrUsrDwCtQAX0XAx9BBee9Afgn4CleVoPe/1qUYNqH\nSrO8CBVwe4F3LKSU/4F6cPehfOSXogpcvUZK+Y12P4xxvMe8c74PZdJ+vpQybE5uWuPAWyVdBPyq\nlPKh0LnuQhXkerv3/5Uof/5R1LX5IMpy8wop5dfb/SyWVeG/gAngl1Am/R1AZAq/lTWJYuVMA9qU\nM99CBRcfj8qo+nWU0vOrZvyfpXMSrYMjhPhnVCDZ84EXRFlwhBB/DvyelPIJxrYvAidIKV+e2GAs\nFktfIYQ4HvgHVIXbvd6216IKuW2RoSaFVtZYLBubxFxUQohXorT2VwA7G+x6ARBWfK4FPpPUWCwW\nS//h1SL5Tf2/EOIk1Kr4lrBy42FljcWygUnEReWZgj+P8mHONNn9JJRZ0GQ/MCxU3x+LxWJpiBDi\n26hMl3NRsRhRWFljsWxgkorBuQy4Ukr5Py3sO4wKEDPRKbqDCY3HYrH0N5cAz0al3v4wppKtlTUW\nywamYxeV16fkGcDTvE3Nou2XqbWv17TUzt51XTeVaieY32KxJEjXPHxSynsAhBBvRAWevhnVqNHE\nyhqLpfdI7MFLIgbnzShT8CEhBNQG930hxL9JKd8R2n8fKvPB5ARgIcaP7pNKpZiamk9gyGvH5OSY\nHfMq02vjhd4d83oihDgOlbxwud4mpVwWQjyA6h8UxsqaLqbXxgt2zGtBknImCRfVbwFPBp7u/bzM\n2/57qPS7MNej0jtNXogq522xWCxxnAp8TQhxtt7g9fQRqEKNYayssVg2MB1bcMIFtoQQ2se9X0p5\nxGsPvwWY9hoVfgF4rxDin4BPoOqO/AY1xchisViiuA2VFfV5IcTbUdVrPwocAr5kZY3FYjFZrVYN\nZnGd81GZC+eBXwTq5ajCW3egSmO/yevLYbFYLJF4RdBeB/wc1UPoGlSV3OdLKZewssZisRgkWuhv\nDXB7yZcIvef/hN4bc6+NF3p2zBsp6tbKmlWm18YLdsxrQZJyxjbbtFgsFovF0ndYBcdisVgslgSp\nOFWWi+00OA9yaHqJcsX29u0Uq+BYLBaLxZIgn/vevfyfL9y8ovfOLZb4i8/dxJXXPdR8Z0tDrIJj\nsVgsFkuCHDq2xPRckZXEuM4vlXBdmF0srcLINhZWwbFYLBaLJUEKJeVeqq5AwSk7VUC5uSydYRUc\ni8VisVgSpKgVnOoKFJyKUmwcp6cynLsSq+BYLBaLxZIgvgVnBUYYreBYC07nWAXHYrFYLJaEqLou\nxbJScJwOLDiVFbzXEsQqOBaLxWKxJIR2T8EKY3C0glOxFpxOsQqOxWKxWCwJoa030KkFxyo4ndJx\ns00AIcSJwMdRnXrTwFXAu8ONOI39vwH8GqpnlS7L/EMp5UuTGI/FYrFYLOtBwbTgrETB8bOorIuq\nU5Ky4PwXMAH8EvA8YAfw3Qb7nwVc5O233ft5fUJjsVgslq6l4lT5wa37bJ2TPsV0UTkrsMLUsqis\nBadTOrbgCCGOB+4F3iel3Ott+3vg20KICSnlbGj/PPAE4Fav26/FYrFsGOS+Gb5+9f04TpVXPOfU\n9R6OJWEKpVqLhk7SxK0Fp3M6VnCklIeA39T/CyFOAt4O3BJWbjzOBDLAfZ2e22KxWHqNkrfCXy6t\nvFeRpXsplDqNwVHvt2ninZNokLEQ4tvAXuBc4G0xu50FlIFLhRCPCCF2CSE+JIQYSHIsFks34Lou\n+48sriibwtI7HJlZ5kv/LVkslJvuq9N/S2U7gfUjScXgrEQ5sgRJOovqEuDZwPXAD4UQOyL2eYr3\n+17glcAHgN8HLkt4LBbLunPPQ9Nc8vmbuUNOrfdQLKvIHfcf4dqfPcZ9Dx9ruq9emZfKtlt0P5JY\nFpW14HRMogqOlPIeKeVtwBtRbqg3R+xzMbBdSvlJb/+vA+8EfkcIsTnJ8Vgs640OJLUBpf2NnozK\nLdQu0fsWrQWnLykUjRicTurg2BicjkkiyPg44AVSysv1NinlshDiAeDEqPdIKWdCm3Z6v08GGi6B\nJifHOhjt+mDHvPp063iHho96v/N1Y+zWMVvax1dwWlh16x5DOtbC0l8UOrTglGwWVWIkUQfnVOBr\nQoj7pZR3AAghJgAB/Et4ZyHE5UBOSvk6Y/OzgCKwp9nJpqbmExjy2jE5OWbHvMp083hnZpcBmJ1b\nDoyxm8cch1XI4qn4SkvrFpySrVTbl3Qag1OxFpzESELBuQ34CfB5IcTbgQrwUeAQ8CUhRA7YAkxL\nKcvAN1EK0buA7wBnAx8DPialXEpgPBZL16CFlO0M3N84bbmodJCxteD0I8VOg4y9e6jqulSrLul0\nqsk7LHF0HIMjpXSB1wE/B74HXINyMz3fU1jOB/YD53n7XwG8xfvZiVJu/kFK+f5Ox2KxdBuOzYjY\nEOjvt9SC20kXf7MxOP1Jx3VwDNeUDTTujERaNUgpp4G3xrz2Y1TAsbntK8BXkji3xdLN6JRgq+D0\nN+0FGdsYnH4mUAengyBjUPdKPpfIsDYkttmmxbKK1Cw4diXWz6woBsdacPqSjuvgmAqOlRsdYRUc\ni2UVsTE4GwNnBVlURWvB6UuSqoMDVm50ilVwLJZVRFturIuqv9Hfb7kFq0zZWnD6mqQqGYONwekU\nq+BYLKuIb8GxCk5f014dHB2vYy04/UjRCDLupBcVWAWnU6yCY7GsIn4MjhVUfU17MTiu/9vGZvUf\nnVpwSgm7qCpOlff9841ccU3TMnN9h1VwLJZVxFpwNgY6GLQlBcdQaqybSlF1XT77vXu4vQ96tnXa\nTbyScJDx4nKZw8eWufuh6Y6P1WtYBcdiWUX0Cn0lKzlL79BO+wWzQq2tZqyYXShx0z2HuOneg+s9\nlI4oV6oBpabjLKoELDj6eIeOLa2oN1YvYxUci2UV8d0RVsHpa9qpZGy6K8u2mjFgunJ7+zkphr7P\nduvguK4byqLqXAHWxSdL5Soz88WOj9dLWAXHYllFKjYGZ0OgFdh2YnAAitaCAxjXr8efE91JPJtR\nU2u7Fhyn6mK+IxELjuEGPTi9sbohWQXHYllFHFvJeEPQThaVmRlj+1Ep+mUhoDuJDw+qJgHtPvdh\nBTkJhc88plVwLBZLYtheVBsDvxdVC0HDjlVw6nCMzLJeRgcYj3gKjtuhgpOkiwo2noKTSC8qIcSJ\nwMeBF6KUpquAd0spD8Tsf463/zOBR4EPSym/nMRYLJZuolbJuLdXpt2CEOI4VIPelwBDwM3An0op\n74nZ/xvArwEuoNsy/1BK+dIkx+WnibdiwTEmvVZcWhuBdixg3YzuJD484Flw2ozBCd8P1kXVGUlZ\ncP4LmAB+CXgesAP4btSOQohtKAXoNpSC8yngC0KIFyc0Foula6jYLKrEEEKkgCuBJwCvAc4DZoGr\nhRCbY952FnARSiZt935en/TY2gkyNl1UtqO4om9cVF6Rv+FB1SGz3edeW1vSKaWLJ1Hoz7TgHNpg\nCk7HFhwhxPHAvcD7pJR7vW1/D3xbCDEhpZwNveUPgBkp5YXe/7uFEGcD7wF+2Mo5H9g/y4nbRhjM\nJ2KAslhWDcfWwUmSpwPnAk+SUu4GEEK8CZgGXgV8xdxZCJFHKUO3SikPr+bA2ukm7gTSxK2LCswg\n495+TrSLqtMYnKGBDIuFSiJywyxFcGS2QLlSJZfdGNEpHX9KKeUhKeVvGsrNScDbgVsilBuAC4Cf\nhLZdCzy3lfMdOrbER750O1fdvLeDUVssa4NNE0+UvcCrtXLjoaV3lAXnTCAD3LfaA9MTUcWpNq01\nYoOM6+mXit9hBaddC4520Q15Lq4kLDhaaUqnUrguHJ5Z7viYvUKiapwQ4tsoIXQu8LaY3U4CHgtt\n2w8MCyG2NDvHwnIZgOkNls9v6U38Zps9vjLtBqSU01LK74c2vxMYBH4Q8ZazgDJwqRDiESHELiHE\nh4QQA0mPzYyVqDSx4gQUHBuDAxiFEntcwdF1cPwYnDYVHH3vaO9EMjE4akw7tg4DG8tNlbSd6hLg\n2cD1wA+FEDsi9hkGCqFtWlsZbHYC/SAsFytN9rRY1p+ai6q3BXc3IoR4LfBXwN9JKWXELk/xft8L\nvBL4APD7wGVJjyVQvK/JJB2oZGwtOEDNwtnrCwEdgzOywhgcbW0ZHsgASWVRqWOcdNwosLECjRMN\nYtGZDEKINwL7gDcDHw3ttgyEV1D6/8Vm5xgdUzqQU4XJybFOhrtm9Mo4TXptzN06Xl88pVJ1Y+zW\nMfcCQoi3AJ8Fviql/LOofaSUFwshPialnPE23SOEqAJfE0K8W0p5rNE52vl+TBfk+MQwW8bj12qm\nCyubzyZ6H/TaPaXHO7xXfUVOtdr1n6HR+NIZpZgct00pEwODubY+z9ChBQDGxwaB2bbfH0X53kMA\niNO2cPO9h5hdKnf9NU6KJIKMjwNeIKW8XG+TUi4LIR4ATox4yz5URoPJCcBCTMxOgOlppQPNLhSY\nmppf8bjXisnJsZ4Yp0mvjbmbx6tX6OWyExhjN485jm4RikKIi4EPAZ80khUiMZQbzU7v98lAQwWn\n1e+n6rqBlfqBQ3M4xXLs/qZbamZ2ObH7oNfuKXO80zPKqlCuVLv6MzS7xtOzKr6lWlaWnIWFYluf\n56g3v2W8ggazc53Pc7o208RQllQKHto/2/XXOCmScFGdiloRna03CCEmAAFE1aa4HpVKbvJC4IZW\nTqZXSktFa9q1dD+20F+yCCEuAi4FLmmm3AghLhdCfCu0+Vkol/iepMYUdqs0y6RynCoDebXStzE4\nCrPQn9vDDSGL4SyqFdbBGfLujyS6ideOmWVyYmhDxeAk4aK6DZUV9XkhxNuBCsotdQj4khAiB2wB\npqWUZeALwHuFEP8EfAJVsOs3gJe1cjI9YdgYHEsvUIstsBNZpwghngZ8BPgiqnbW8cbL86iAYlPW\nfBO1+HoX8B3gbFSRwI9JKROT8uFMl0ZBxq7rUnFcxoazFEuOjcHxMK+hU3XJahNGj9FxFpUOMtZZ\nVJUkuomrMeWyabaMD7Br7/KGSRVPIk3cBV4H/Bz4HnANyvT7fE+InI/KkjrP2/8w8HJUkb87gHcA\nb5JS/riV8+mVsFVwLL2AteAkyhtQMuutKJli/lxIvay5AniL97MTpdz8g5Ty/UkOKvzdNrLg6H31\nBNhKa4eNgBl43cvVnYulCimUtQTaf+5Lq2DB0cfMZdNsHlPhrjMLGyMLOZEgYynlNEroRL32Y1Qt\nCnPbLcBzVnIuP52wUqXiVP2urRZLt6FX62Dr4CSBlPJi4OImu4VlzVcIFQBMmrB1rtygeJ+WXzqN\n2FpwFGaWYS8vBgolh4F8hkxaWaDa70Wl7gdtwUkki8q7x7KZNJs8BefYfJHJTUMdH7vb6TntwDRl\nLlkrjqWLMbNlej391RJPuFZJo7gavSLXhdz6IQbnzj1H2PNY0/yQhgTqCJ4KfosAACAASURBVPWw\nO7dQVgpO2lNwVh6Dk2AdHNOCM7qxLDg9p+CY2r11U1m6GVM42V5U/UvYjdDIxaLviYGcWuX3equG\nY/NFPvUfO/nSVVFliFrHVGqaFUrsZgolh8FczYLTTZWMTRfVsQ1SKNcqOBbLKmGal6tub2eHWOLR\nSotukNio0J++J7KZFPlcuudjcK67az9V12Vqdrmj+9u0cPayO7dYchjMZ2sWnI4L/SXQi6pcCzLe\nZBWc7ibgoio0V3AWlss9bfK09C5hQd3LsQWWeBx/1a0mpcYWHPVaJpMmn830dAxOterykzv3A2pi\nX2xBHsfRDxYc13Uplh0GcukVW3Aq4SyqJC04Geui6nraseA41Sp//s838m9X7VrtYVksdYRXXzYO\npz/RMkn3D2rFRZXNpJUFp0cnc4C7HjzK9FwRndB9dDbcgafGjfcc5KEDc7Gvm4uBJDKH1gOtjORy\nmY4tOL6LKpFu4l6QcTbNxGieVMpacLoWp40g41K5ymKhwvTcxvgyLd1FePVl+1H1J5UVWHCy6VTP\nW3Cu/ZnqmXzuU1Q5oqNz0QpOxany+f+8l2/9+IHYYzkBC05vLgTK3rhzmZVbcLR7czCfXC+qcqVK\nJp0inUqRSaeZGMlbBadbCVpwGgsHLUxskTXLelBXAM66qPoSbZXRboVGaeL9YsGZXSiy84GjnH7C\nOM88YxKIt+CUK1Vct/GCtB+yqLRyks2mO7bg5LNKSUqmm3iwqN/msQFmFoobIiaw5xQc8wtv7qLy\nauZY14BlHQgLN5tJ1Z9oy5xO7W0UZFyLwVEWnHKlGign0CscnSviAmecNMFWr7FonAVHPwe6ym/0\nPoYFp1cVHF0xOJP2A87bfebNonzZTDqRa1GqOAEFZ9PoABXHZX45vl9av9BzCo75IDRVcJy1K5O/\nVKjwj1fezSMHu7eJmWVtsTE4GwO96NIuqkaZUbUsqjT5XHOXVrdS9FxrA7kMWyc8BSfGgqMn6UYK\nTtCC05vPiZmOnUqlSKVWXgcnm0mTzSRjwSlV6i04ADMbwE3VewqO8YU3i8HRwWqNVlRJ8eCBWW7b\ndZg7dk+t+rksvYGNwdkYOH7cRAsWnKp2UaXIe5NOL8bhmArO+HCOXDbNkQYxONBMwel9C45WRrQy\nkUmnVtSLKptRClImIQtOpeIEKv5vpFo4ibRqEEIch+rz8hJgCLgZ+FMpZVQ3cYQQ3wB+DXDBD8L/\noZTypc3OVWkni8q34Kz+ikCv2no1A8CSPGEXlU0T70/CFpyWgoy9GBzozX5UWinL5zKkUim2jA/G\nWnC0/C2WHFzXJZWqb6Tp9IGCY6ZjA6TTqRXF4GjFV1lwkmjVUPWzskC5qACObYBU8Y4tOEKIFHAl\n8ATgNahGd7PA1UKIzTFvOwu4CNgBbPd+Xt/K+cwHodUYnLVQOnQqXq9mAFiSp86C06Omd0tjwjE4\njeq4OIEgY8+l1YPVjIulmgUHYNv4AAvLZX+7iX4Oqq4bq/z1h4uqlo4NK7TgODV3UjadTmRRVKpU\nfaULNpaLKgkLztOBc4EnSSl3Awgh3gRMA68i1OhOCJFHKUO3ep3F26LdOjiwNoWjfAtOj64+LMkT\nFtTWgtOfhLOoGvaiCgUZQ29acHwXlZfO7MfhzBU4YdtIYF/zOSiUHF+xC+zTD0HGug6Op6CkUyk/\ngNx1XQ7PLDO5acgPQNaUyg5ziyW2bRqiYgQEZzIplkudXQvXdSmHgow3kosqiRicvcCrtXLjob+V\nKAvOmaiOv/et5GTBZpvN0sTdwO/VRJts1yLep1MqTrUnAxt7Da1ga4FmFZz+pBaD04qLyrPgpA0X\nVS9acPwYHPUZGmVSmcpLISbeqB/SxCtGHRwIWnAe3D/Hn//zTfx058G6933vpw/zF5+7iem5AmUj\nIFhlUXUmM5yqi+tSl0UFG8NF1bEFR0o5DXw/tPmdwCDwg4i3nAWUgUuFEK8AloErgA9LKZtecT1J\njAxmW4jBWTuril619ULNnU9ccSeFksPFv3POeg+lr9HuiIF8muWiY4OM+5RaDE4LdXCqRi+qbO/G\n4BS9MWsXVaNMKtM1W4iR2cEYnN5cCNRZcIwYHN0aIUqpOHB0iYrjsvfwgnJRZWoxOPq63LDzAHc+\ncJQ/fO1T/Bo7LY3JyMrSDA1kGcxnNoSLKvEsKiHEa4G/Av5OShnVYvYp3u97gVcCHwB+H7islePr\nh2V0ON96DM6aWnC6/+E8OL3Ewemluu3Vqsu//2A3ux6eXodR9R9asdauCBuD059oOZPzirM1brYZ\nEYPTg1lUZpAxNLHgGNej2McWHL8OTkQMjr4nosIlFrx6NAePLsVacG657zC37Trcdg+psNKl2Tw2\nsCFcVIlkUWmEEG8BPgt8VUr5Z1H7SCkvFkJ8TEo54226RwhRBb4mhHi3lPJYo3OkvS9qy/ggh6aX\n2LR5pO7L04wcUZN41XXZsnXUL5+9GmRy6lJmMmkmJ8cCr4X/X28cV2Wjhcf18IE5rr7jUTK5DP/7\n15+xTqNbGd12jQGGhtWtPDSYZXaxxOjYYGCc3ThmS/vUMqNS5LJpyg0sMoEYHD/IuPcmdK2oDIZj\ncCIsOKbCEpcq3ldp4kYWVSWUyRul/GoFZ//RRSqOG1Bwqq5LteqyVCz7+27xlMmWxlSJVnA2jQ5w\n4OgSpXJ0TFS/kJiCI4S4GPgQ8Ekp5YWN9jWUG81O7/fJQEMFZ9m7GQY93+/ex44xPpyP3Hf62KL/\n98GDs6v6Rc7MLQOwuFxiaqpW7G9ycizwfzdQKjmUSg6HD88FUjYfOzALqAyJbhtzI7rxGgPMzCoF\nO+sp1tPHFv1xduuYG2EVsmh8pSWdVgpOC5WMs5l039TBAWURSKdSkbVwTOtMVJYVBOPTus1FNbNQ\nZHQoF3DzRFGuhF1Uaapl5WXQ33tUfNbCUgmAfYcXACMLK6Nj96oseZ3aF9usPhxOXdf4mVQLRY7b\nPNzWMXuJRFxUQoiLgEuBS5opN0KIy4UQ3wptfhZQBPY0O5cfgzOUAxpnUjlrmHqoV21rkbHVKRWn\nikv9NdEPUbHc2PVnaQ19fbVibV1U/YljFO/LZdMNg4x9F1W6xy04paCLKpNOs3ks39SCs1xqJQan\ne67H3GKJi/7pRr57w8NN9w3Hu2SMGBwtC8L3huu6LCyra/LYlFqQa5d2Np3236vnuYVCe7I5rHRp\ndLxYo+KLSXHfw9PctqvthOlE6NiCI4R4GvAR4IvAF4QQxxsvz6MCircA01LKMvBNlDvqXcB3gLNR\nRQI/JqWsDwwJ4TiqM+qw9wU1UnACqYerHODp18Hp8knMNWpRlEMlvLUZNG6VZWkPLbT1KtdmUfUn\nZlxNLpuJDaSFmhzK9LgFpxSy4ICKw7n/sVkqTjVg7QgEGce6qFxSKXDd7lJwjs0XqThV9jwadjrU\nE47BSadqvajiLDjLxYqfSl4JxctkPQtOxan6VfsX2rXgOEGlS6MtOmsxX11+zR6mZgqcc+Zxq36u\nMElYcN7gHeetwP7Qz4XA+d7f5wFIKa8A3uL97EQpN/8gpXx/KyerVF0ymZSvgS430GgDFpxVXiXp\nTIhuTxN3qi76qoSzPWoWnN4TuN2IVmisgtPf1FxUKXKZxh3CdSqxGWTci89bsVwlnUr5kzDAcZuH\ncV2YmlkO7BsIMo5TcKpVP56nmxQc/d3sP7LYZM9agkkgiyqkvIQ/W1TDy1oWlfpdLDn+/LJiF1XI\ngqPdYI0y/pKiUHIoGIrcWpJEmvjFwMVNdgsEv0gpv0KoAGCrOI5LJp32FZxGtXACft1Vnlz0g9Dt\naeLmAxYWxNoa1osCtxvxs6i8eDGbJt6faNmSyaSbuqjMgGTX1ZNM790XxbLDQD4diOHbsVXFchw4\nusSOrbVif6bsjbPgOI7LyGCO5aLTVVZwbZmfWyqzsFxmssG+4YBeM4sqzkW1sKQUluGBrG+lyYVi\ncEwlaKUWnLCCo/9fiwV5qezgosI4dGHItaL3mm1Wq2QzKb/vS+MYHMNFlbAQufr2R/nkN+/C9bRS\n/SBEpYnvO7zAN360pysmOFN4hB82/YBZF1Uy2BicjUE4i6riVH25ULevoQzV0sTXXy60SzEi+2b7\nFqXghEtQNLPgVF0Xp+r6ls6usuAYlYSbWXHCMTjpgIITbeHXCssTTprwt5lZVKDigDRJWXC0lWgt\nlGt9f6/Hwrn3FBzHbSMGZ/VqK9yxe4qf7znCsmdBKjUIMr7uzv1cdcte9h5aSHQMK8G8oesUHOui\nShQdbzGQtS6qfqYWOJz2J5I4eePHWWRSvmWv2KOVjAfCCo5vwQkqAsEYnHp5rV+vuai65zkx46P2\nH22i4DihOjiplFdJ2K2liYctOJ7CckaUguMFGc8tGQpOm0HGlZgsqtp9ugY14rwxxFWxXk16T8Gp\nVgMuqlazqJKeXLQmrh9Y/SVGBTNrhWGpzZtzNTBXENaCs7ro+y+f1y6q7hHcluRwoqoTx6yMHSPo\ns9aLqveet1KEgjO5aYhMOsXBo/EWnCgXlX69K2NwDOXzwJHGOTDlUKsGXXHYdWtyNyxz5z0X1Y6t\nI/6i3W/14LmotBsLOggyjnNRrbJyXa26/ve5HvNKzyk4larruah0DE4DBacaP5l3ij6efmC1kIqy\n4Oh9G411rTDHF+6BY2NwksVv1eBXMu4ewW1JDr0K1jE4EC9vzH39XlQ95qJyXZdiqVqn4GQzaSY3\nDXFweingogsoOBGyJRyM300KTqnUjgWnPgYHPBdcjIKjFZax4Zwfw1TnojIsOG0rODEWHB0cvtou\nKnOOsQpOCziOSyaTbslFFbDgJPzQVOIUnAiTn17NNWstsRY0CjL2XVQlJzaGwNI62prnx+DYa9qX\nhLOooJGCY1p7dB2c3lpQVByXquv6jTZNtm8ZZrFQ8S0TELRcRrmo9DUZ6EIXVdH4HsOutzCVuhic\nmuW21vg5WsEZHcr5MUzhNPG5xQ4sOHExONm1udbmHGNjcFpAuahSLbmoKquYRRXroopQpLQA6zYX\nVdjaZFqYejGzo9uoNdu0Qcb9TK3QX3MLjr9vOk02kyKdSvWcxbQY6kNloq0QZqBxsyBjs7pzNpPq\nLguOrveTzzA9V2SpEK9gRPWigqCbJs6CMzqU82OYwhac+WUzBqfcVrr1egcZm+7XtSgqGKb3FByn\nDRfVKmZRmS6qqlE8z6m6dTegrnLcKy4q9Vr3CJlexbfgZG0MTj+j5Uwmk/JXxs0sOJlMilQqxUA+\nHcjU6QXMST9MVKBxJRBkHOGi8gslpshk0l2l4GiF7NTjVZuSRw/HJ4qUjc8BtRgcx1RwwhacpRIp\nYGQwxzPPmOSkyVGeePIm7zieguNZcIYGMrhufEf2KMLFAzVrFYNjul/Xo0J+zyk4Fa8OTi6rfhpZ\nRVazDk5NwanUNdcLu8O6yUVVjnFRua4buJa9GPjYbWjBXiv01z2C25IcFS+zM51KtR6D401++Vym\n5561cB8qkx1bVP2bKAtOKtU4yDiTSZMzOmivBfNLpYYKlV4EnrZdKTj7DsX3j9OV4XVtoHTAghOT\nRVWoMDKUI51OccK2ES79vWf7NYR0kLGOwZmcGFLvacNN1TQGp8Nrfd/D01xzx6NNzw+qOORa01MK\njusq64gWDmPDuYCvN8xqVjKuuaicOkuIjqav/e9ZcLrARVUxxlauBJUdUyG0FpzO0YqurYPT31S8\n9jHQfGXsOKqOl54EB3KZRF1UV173INfdtT+x40XRSMHZbhT702gFYmQwF23BMdx2mTV0US0XK/zZ\nZTfymW/tjI051JPyaTtaU3DMlgjeLRG04NQV+isx6vVVDONbcLw5bnKzVnBan0fis6i8GJwO5fx3\nbniYL/9gd2wAsXlvNwoyvurmvfzg1n0djSWKnlJwKiET4NhwnvmlUuzNaa6Yk35ozCDjcBZEOFVc\nC7tusOCY18F82MLKV6+tKruRWnaIdVH1M05VJT5A8wqxFae2LySr4Liuy3/d+AhX3x6/ok6CcKNN\nk9GhHKNDuYAFRyv2o0M5Kk61Thabcj23hi6qx44sUig53PnAUW6+91DkPloOPm77OAB7Gyg4FSfY\n2y8qBscsAln1Gm3GKjjpWi8qUGn4oOJwWiXOgtPM0tgquvDgvJHpZWIu/qMCzDU/uHUvP2pgCVop\nHbdqABBCHIfqKfUSYAi4GfhTKeU9MfufA3wceCbwKPBhKeWXm53HNGUCjA/neaQyT7HsMJiv/yim\nqTNJF5VTrVk7oiw4Ya1YW0O6IQYnYLUxBGtY+eq11NVupBK24FgFp2PWStaYzC2WuPxHezjj5Ame\n8+Tj62RNxbPKQPOJo1Kt+hMX1BQc13UDbQ+ikHuPkUql/BiNMMWyg1N1Vz1wVFs1orKoQAUa73ls\n1nfZ6OdAT+TFshOwdJhyPZNJU1ojOXnAqEz8tavv56zTt9YpG1r53DI+yMhgNvCeMOVKNaBI+DE4\nrhsqOuuSy6b8RpvNLDiabRODwApdVOFeVL6LqjPlesFTtuaWymzzFLDA+QMxOPHnqjguw4PJ21s6\nPqIQIgVcCTwBeA2qqeYscLUQYnPE/tuAq4DbUELnU6gu5C9udi4/mM+7ccZH1I1hlrIO7G9acBJ8\n6E03T6FUqbfgOGELTnfG4Jh/h5WvXqyu2m3UtWqwCk5HrKWsMbl112FuvOcgX7pK8u5P38Btuw4H\nXleJD0ELTpyLtxJyYwzk0i130P7cf97Lv35/V+zr2gq7VpkxUS4qUKnirguHvaab+jkYGVSKYSHU\nP7BW/DBFLpNa9cbIGu1Ge+YZ25hfKnPFNXvq9ikZTUUnRgeYXSjGHq/cyIITUUHez6AajlZwMkYj\n06GBDOPD+cD7WqF5kHFnMknfc3MxFhxzHmkUg1M2FglJkoTK9HTgXOB3pZS3Syl3AW8CRoFXRez/\nB8CMlPJCKeVuKeWnUY0339PsROEAPf2Fz8XE4QSDjJN7aEzFoFBy6jTTcOBWqVtdVMYNp2/UMe9h\nsy6qztElDfSKfT0L/d2w8wDX33Vg3c6fEGsma0yOzhYAePaTjqNQcrhj91Tg9UrViMFpWgfHDQjy\nWkfxxvdG1XWZmS81tALrFOaVNlBcLlb42g/vj52sNI1icAB/JX9sTl03LXu1pSJc7K9ipNlnMulE\nZXUjdOG+33n5mWybGOSWXYfrwh3MpqLjXsxnnDJaF4MTUQcHat+PrlDcigVnaCDLiLdfO/2o4l1U\nmcBYVkKp7PjHn48xMgSyqBq4qCoh61dSJHHEvcCrpZS7jW36U9WtqoALgJ+Etl0LPLfZicx6CaBi\ncCD+4lZWKcjYFF5RLipzInNdt5Ym3hVBxtFZVEtF9dBsGh1Qr1kXVcdUvJW9mS66XnzrJw/y7ese\nXLfzJ8SayRqTI7PKEvHLv3g6UL9QcZyIGJwGLqpADI6Xat2syutSQbkzGi08tHxZqaz7+f1H+J/b\n9nHrfTULVVTMjA4UjusMPRC6BjoGR0/Q4VgMX66nlaWk0qFVoVUOHF1kbDjHxEiek48bpVhyAp27\nwWsq6ikDo958E6dg1MXgpOpjcKAWk6nPNRar4NQU4eGBrK8ILbYTZNykDk4n86LZFytOKQ7PlVHo\nZqthl1wSdHxEKeW0lPL7oc3vBAaBH0S85STgsdC2/cCwEGJLo3NVQi6qiRF1w83GXNxAHZwEM1jK\nocAprQzocQWK6TlV9JmXS5V1rxAc14tKNw2tKTjWgtMpOmMm0wUKzlKh0vPf6VrKGpOp2QK5bJrj\nNg2Rol7BaScGx3RnQc0K0izQWLvhGy08fAvOCictPUmZCsjfX/5z/u7rPw/sV2pQ6A/q3XQVp0oq\nhV99PqzMaQVIp4lXXdfvwr1alMoOR2YKfkq2DuCd8txq5n76Oxr3rNtRHgPXq4VmKhLpiCBjMFxU\nTSw4piI8PJD1XXwL7QQZx7qo6ueqdjGLHsZlM5syJ07++C7KbBcqOGGEEK8F/gr4OymljNhlGCiE\ntmnH5mCjY+sJQvsmx7wYnDgLTqcuqmrV5dHDC3VKiemCMi04w94NaGrFpunZddenmqNJsJt4bSz6\nZp0YVUqjTRPvHJ1dowXVermonGqVYtnpu+90NWWNydHZAlvHB0mnUwwOZFkq1rtYdOfnvF/oL/o5\nr4RiDVpVcHSWStV1Y10ki0YMzkoWUnqSMmXU/iOLgYwoc6xxLqpcqAWFtmTqZpphGWgWP/SflVV2\nUx2cXsIFTvDS2uMUnGK56vcMq4VE1M83egEdGYPjWSjC+zaLwTGD0YcMC044BueO3VM8sH828hjh\n9hH+sROoZNyKBce8r+O6iftZdOnujMHxEUK8Bfgm8DUp5Z/F7LYMDIS26f8bNvvQX5aZRQXxMTim\nIFiJ2fPWXYf5yy/ewr0PH4scB6iAOb2q0isU01oU1lrXOw4nMLaAi0qNy1pwkkPXR1lvC462zpUr\n1bbKvHczqy1rdj0yrQ5QrLCwXPYzWIYGMnUuFsep+ouuVtLEzclGW0GaPW/mCjnOirPsLVJc4i3W\nVdflo1+5nf/86cMR51CTVHhSCrvgmyk4WiGouaiUUjfgKzhhC1itDk4thml171MdYFxvwQnqw6YF\nR8cnRqVER8W6mK7p4MIyFGTcQgzO8GCWfC5DPpsOuMhc1+Wy79zN5757b6RSqwOfwxl6qVSKbCbd\noYJjWHBijAyBQn8xi/u4Wj1JkEiaOIAQ4mLgQ8AnpZQXNth1H7AjtO0EYEFKGa2GemiFZWxkgMnJ\nMTIDXtphpcrk5Fjd/mnjBsnlM5H7NKLsqtoIFQi898hC7YstO1Xy3jjGRwc4dGyZkdEBf/+DoQZt\ng8MDbY8jSXJGimsqnfLH4qbUtTp5h6r3kM1nExnn3Q8c4fgtI36RqtViPa9pHK6r4hSOP06NLZMN\n3oNrNWbHuAcnJoYZHEjssV8X1kLWfOBzN/HVS1/hF3Y7efs4k5NjjA3nOTpbqD033up8aDDH5OQY\nBU+e33TvYV747FM54+RaaJDat+rvC7DFm1ibyYXq7iP+32MTQ2wZrzdALRqxMxObhv2Yl8A+y2V2\nPzrLoDEGTclTNFLpNJOTYzhVl1JZKSfmvumMmvC3Hz8WOeZth1Q7gwHvHG5KtbA4btsoALmB2rkn\nJ8cYGj4KwObNwwx7SsSmzcNMjIZ10+SYXVaeyzMfv43JyTGEpxssFCr+2CqOKgcyOpJncnKME3dM\nAEpWhj/3zLwyDI54+wKMeeMfHx8KLCz0/KB1uFNO3BR5HecMS+HWTcPq/hvJs1xy/P0LpQoVx+Xw\nzDIlUpwUOo6LUrqjjp/PpSG1cjmUMRb+S8aYAvtka0pwpepG7pPyrGajqzA3JlUH5yLgUuASKeVf\nNdn9euAtoW0vBG5odh69Ai4VK0xNzfsKz5FjS0xN1RdgMnt2LCwWI/dpxPSM0vKnji4G3jt1pPb3\n4nLZ30/3HDo6Xdu/GFpJPXpgluFsZ6Y413WZWSixeax9ATA3X1uhLC6V/XHqz5D1HsRjs8ttX68w\ni4Uyl1z2U571pON422ue0tGxGjE5OdbxWFeDUtkhl00zc0wpGMuF2vVeyzE/ZhQn239w1g/Ob5du\nUCLXStYsLpe55/7DHPRW+iMDGaam5sllVHuYw4fnSKVSONUqrgtVp8rU1DyDaXjd807n2z95kIs+\ndT1nnrKJqdkCx28e4o9f99TAvgAVz5px+MgCU1PDseM5cLj2HR44NIdTrLdam0kMBw7N+TGKJjrN\neXGpVHf/HfUmmtn5AlNT8761ueK4HDg461sUZrzsqKWFAlNT9bJsaUmdY3pGyZBiqUI6BUVvxX/E\nk6f6GZjxgriXF4tUvRX/wUNzlJZb9iK2zZ59anIeyaaYmpon7TikgH0H5/zrot32KRe1zbNk7T88\nX3/tvEy7aqX23Ra89x+dXgxYMqaOLjA1PsCRY+reKhtywWR+znCXuS5TU/MM5bMcnavJZrNEyrW3\n7uVlzz4lcIzlQoV8NhN5/Gw6xXKhsmI5dHCq1pdreq4QeZwZb77JpFMsLUd/zsPedXAqjn9fJEXH\nCo4Q4mnAR4AvompMHG+8PA+UgS3AtJSyDHwBeK8Q4p+AT6AKdv0G8LJm5ypXar5aUCa8kcFsSy6q\nlZg8tSm4Pg08lEXlva6DwAL9nlbBRXX9XQf4l+/v4v1veRanbm/TKhXoRWXE4HjjmkjQRTUzX8Sp\nurF1ivodp+r1KFrnNPFAE9Uezo5bS1kD8MjBed8dUXNRZb1spioD+YxRhbdmLX71+adx6vYxPvvd\ne7j7oWlSKTg0veQ/B5FBxk1i88wYh7hn0wz6jIsBKnoyNCoey3dReWMx5Z6ZAt2sDk44Dkm5qNIM\ntRSD41XvXaE7t1p1+fmeI4hTNjEyGO36AZVBNZDP+IvEXDbDprGBQAyOjp/ULreai6p+vqkF89YU\nvlqrhmp0HZylUiD4Okw2FGQMMDqU5dEpx4vlSgfiWu564GidglOuVMnFFGTMZTt0UXmushQqYLrq\nuqRDrjB9/NGhHMsxaeJ+k9IuDTJ+g3ect6IyFMyfC4Hzvb/PA5BSHgZejiq8dQfwDuBNUsofNzuR\nDjzLGMFI4yP5BoX+XOPv9r9I/SDXKTjGTVFxqr5yMOw9UE4gBidYAyIJBeeot4I6dGypyZ71xLVq\nWC5UyKRTjA6pBymJiVArns2Ed7+iy/Lrh369YnCWAl3ie/q7WDNZA/DIoXmOeCvzrUYMDuAL63Dx\nUc1TT9/K3//xc/n0hb/IC555IlALYA0EGedbDTJuHoNjWnDiJi4t06IVnHJgLOZza+7fPMhYK0Lq\nPWXvOdAVoOMUnGwm3VH6ctV1+eL/u49Pf2snP7wtvuy/U61yaHqJHVuGA7Epk5uGmJ4r+uMJZ4v5\nZUkaxuDUrole2FQqLm7EvguFCsMDWX+/MGahP53AoucR/V2b39HueMx4FQAAIABJREFUfTN1pUgq\nTtX3LITJZtIdZlGpc22dGMSpupFlUPQ1HBvOUypHxwD6WVSrEGTcsQVHSnkxcHGT3QJPgpTyFuA5\n7Z6rYqQTasaH8xw4uuQVVQt+kY7X5Xel5cv1ZBB+IMPH0oJBa9nmTaOFwabRPAvL5UTaNejzL66g\nro4WHGHtfalY8QPZIJmJMCposR2OzCzz3Z8+zBtfdAZDPRg3ojNmUqmUfx+uB/1iwVlLWQPKgqOf\nad3JWd+Hy8UKm0YHjCJ19cI5l82Qy9asBLqyb2YlQcbGIi7OOhO04MQpONXIY5gLNf28mnLPHF+x\nrNw54dRjTb6uDk7jIONas81aFlW7/aiqrsuXrtrFT+8+CNRnQ5kcmSlQcVw/wFgzuWmQ3fvUAvL4\nzcN1itzwYJZMOhWTRVWfjq3no7pWPt6+y8VKQ7kWZcEZMTKpxkfyvoKT9Xp43fvwNOeceZz/PpW6\nHq+INmpW3QwdZLx96zBHZgvMRzQOrSk4tQKy4VYnqxlk3GPNNrWmXxMmY56feSHii6o4Vf/mXMnk\n4ruoYhQcPQptQYpKE9dfsPaHJ2HB8XtbtVEPQaPHPjyQrVdwBrK+eTluIiyUKnz8ijvZvW+m6bn0\ndVlpavzN9x3i+rsOcM9D0yt6/3qig091+nAms54KjrkS72kLzppxwrYR9h6aZ2p2mXw27QvoobxW\ncLT7pd5FFWbLmLL+6AydlaSJm5NqXNXjgAUnttquZ8EJHcPMzClEuKjCFpx8PhPbOyuX0y4qXQdH\nPQeDMdaqSqgOjrmtVW68+yA/ufMApxyvApmPzce3VNCW7x1bgzFP4VTxkt9zS407nUoxPpKPdlFV\n6idpbZmJmz8KpegeippwJWOgLlW8UFbf+VNPV2Wd7nzgiHmIuvYRJrlsZxYcvcDevkVdxyhPSqlS\nJWWMO8qaH5fKngQ9peDUzMG1YU94ZsPZiIvrVF1/1bCSDrXFOBeVdyytTWvh4ys4EWni4yNqFZdE\nNeOOLDje2IcHswGhtVzQFpzoVYfm4QPz3PXAUa5soSruXMjk3S56RdlO99xG7D+yyAf+5RYeM4Lj\nVotwzaZMOh1wXa4lS31iwVlLHn/SJhYLFR49vMjWiUF/Mh/ULio/ADcYFxiFtuAc0S4qQ34N5Bov\nKDRBF1VzC06ci6foW3CirdBqn2YWnGqsewpqqdK1OjieBScXHYPjGC4qPwanTXmt075/88VPZGw4\nx7Sh4FxxzR4+fsWd/v9aBoetDeFU8aLvojLmm9GBJi6q2n2g3ZZazmpXta5TVChV/PspCtPtqecW\nHVekZaJWGMQpmxkfybPzgaN+urguPhhbkNFLE19p8dmlQplMOuVbN6MUv1JZnd+33kXcu34NoS7t\nRbVmhHtRgVHsL+LiOlXX/3JX4tMtGZq2ib6Z9arOt+D4dXDqLTibRpOz4PgKTos9SUy/pw7oGsxn\n/dVcxalSqlQZGsgqIZNOxVtwvM+za++MX8I+jnDQYrsse4IoqRYXN+w8wN5DCy1ZnzolvLJXLqrg\nNXUbFG1LkqCLylpwWuHxJ6qU4Krrsm2iVuLAdFGBWV09XpRuHlcKTmQMjjd5NloEONVq4FmPcz+Z\nC564oo61GBwnMLGZk3ZUkHG4Im1cJ3EI1sHxLZmZtOGiirbgqGabrbmo/vort3PZd+72/9fK3chQ\njs1jAxybL/if7zZ5mLseOOpXR9YyLNxqot6CUx9rNDGaZ7no1H0HtSDj+hgcfRwdv1X25K3r4lu1\noohyUelj6Ial+loO5TM8/oRx5pbKvnUnqvhg4PjZWq+slbBQqDAymGV8JL4AYqmiMkkHGwTTlx1r\nwQGCXWc1japLat9vNpNaUVS+H2QcExSne4ho95jWrs2HU6+YtIsqmRgcNZ5WJv69h+Z5299ey84H\nj/pjU6upNBXHpeq6tSBp7yEayGdiJ0Jz+433HGp4br+8fKW6otLrNQtOMgrOvY+o1NC4ippJUgkF\nxEfF4Fx53UO85zM3rEjpdV2Xr/7Pbm6692DTfQMKTp9VM14tHn/ShP/3tk21dOWai8oLMm4Qg6PZ\nPBofg9OKi2phuRIIUi3GWFeXW4jB0dtdNzixmT2Yahac6KDlYslpaMHJG60azOuTTikrTl2hP/2s\nBCw4jeXFQwfmeXD/nP+/lhEjg1m2jA1SKldZLlZwqlWm54qBz1Uq1SsuUK/g1Cw4poKjvsuwFceM\nbdToZ18fR7ujypWqr5g0clEFu4lnA791kHvRUNa2erWRdGC8nofycTE4HVYzXiqUGR7M1VpYRLmo\nylUGcumGwfSOVXAUUaslX3uMuLgVL0034wVgxTG3WIr8krUVIzwh1iw46twu6mbWX2JUmvj4aJIK\njnZRNbfg3P/oLFXXZa9XC0X3S8kagYDaUqLNoAO5jJ9OGsZU9n6680BD82aU2bsddJzDSmKNwiwW\nyuw96NUmWoOsLicUEJ/JpOpcVPsOLzC3VK4rhd8KhZLDD29/lGt/tr/pvtaC0z6nn7jJ/1uniIM5\nwbQeg5PPZRgdyvnPQ6CbeAtZVHoy1YukOOvqYgtZVKZyZB7HfFYrjrIsms+JGfdTLDdWcMw2ADUX\nnto2mM9E9KKqZdG0YsFxquq4pvzzLTiDWTZ5LsHp+SLH5oq+kuUrbjEWnPHhHPlcumbBqegYnNp3\nu8lXcIIyKaqppXZJ6evsW3AqVV/Ja2TBSadqVdDrFBwdEO4rShn/PtU1efwxNUgTN/cLc/dDR7n8\nR/dHynjXVVlTI4NZPw423KgUlAUnn8s0LIdgg4w9asForVpwXD/1MG5FsFQo875/vjGy07L2IccF\niY0ZPURy2VqAnBMRgzM6lCOdSiXjonJaj8HRbiS9YtD1E2q1Kow0d68icyMLTtE3t2Y5dGw5sIoK\nY34nKwk0Xm5gwTk6W/CVtlbY9ciMvwpeaUxQO4QD4qNcVHocjTI+4tDfTytuyiVrwWmb8ZG8vyIO\nuqjaj8EBAkU52222qTOo9AQWlUVVdd2AbGmWRRU+jlai9KRfKjuhIOOa/DBd/1GkUikvS9OpqxM0\nmM/EuqjMXlSNFJxiSWchOf5+i4WKksFG1tqx+SJTswXjfUHXW1hJS6VUPMnUzDKu6/r7m/vphWrY\nglOO8C74FpxKTWbqz6ZdTI0UHFDXJJ9N+8pIOMi9YIxRlzLQZUTiOolrtEIRd61/cOs+/vuWfcws\n1M+thZKDU3UZGcr5c3BUu4ZSWS2o49yTUGuj1MgKulJ6SsGJMmXVGm5GxeB4vYAyqdgv8ehckULJ\nYd/h+sDTZnVwRo2KsPlcxhdyUWni+WyG4cFsIvEkpQgLzp17jkR+Bh0wp28sXbDLTOXUY9LCeyDX\nXMF57lO3A/hpmVGYVrWVWA60wI6y4Hz5B5K/+eodLfdW2vVIraz4Wlhw/PRhnUWVTte56fS1PHys\nfQVHW9jCjfeiWO6fOjhrii6iGWnBCSk42QYxOBCv4OSzaVLU3CZR6GB9PYFFZVEVQg1A47JjArE0\nhhKk7yP9WQslJzAZaZnXrMifJp9NKxdVaOIfyGfqCr4F6uBk6xeJYUx5vOTLiIpvgd5iKDhHAoX7\nggvWwYjPMLlpiOWiw2Kh4j8rpjKnLThzSyVc12W6TploFINjuqi0Badx+YtsOh1IJR8M1WEy3V/6\n/tAuqnKHLqpjIdeeyZJh9R8dypGiviek67q+BWewgSLvp9hvdBdVOSLIOM6CU626uK7aN9fARaUf\n7NkILbUYlyauY3AMC04+G12kSq+Yctk0QwOZZIOM/e7BDp/+1k6+8aP76/bVD3jRsODkMjUXVani\n+GPShQoH8pnYlb6+QZ95xiTZTJqHDkRbcErloIBciQXHF14R1+zobEEF+7WYFXTvI7VU87Ww4IQF\ne1SaeBIWnIXlctMsiECauM2iaplXnHsKLznnZE49vlYtPKzghLPl4tgSUHBq+6ZSKfK5TGzqN9Ss\nBdqiFLVY0BOmVjxiLTimbDL+1i4XnRFTLDshF5Ve7HlumyaWh1w2TblcNRJDlLyZGBmgVK4GFnqm\nm0/L9kbpy+bzqy2Yi4WyHwMZtODUnq1w+ns+4jPoazw9V4i09OgYnLnFMj/++X7e848/5eGDc5HN\nNv0sKu+aaWuNGYMz1OQ6jg7nAsqxtuDoNkS+BSef8S2N2kWl56G4Qn/NXFTTXpuFqAXhYqEWd5pO\npxgZytXHJTlqDh7INo7BWc0g456qnhZVNXQwnyGXTdfF4Gh3gEo9TFOKUSz0AzK3WF83wXdRlVXG\nQcpI84NakDGohyAbYV71q2Fm0wwP5Di42H68RRh94xZLykQ7s1DCqbrMRlixtIlWC8CK4zIyaFhw\nyjVfth9knMv6nafDpbe1eXh4IMv4SP1NrQn7qFeiVDQKMtZjbiVg+Nh8kQNHl3jcjnEeOjC34ro8\n7eCEBHsmXR/orgXHyhQc9T04VZdCyWlYMMzG4KyMx5844WdTacIxOFGtGqIwJ6lwxtVALt3w+dAr\n45qLqn5C0t/x2HCO4qwTWwzQ/P6jXFR6gi+WncCzpc9Zm/Qbf958NkOp4vgBxFqp2zqu42MKnOrt\nWzHkes2C08hFZSo4FT9RYsc2VbivpuAUAgp9KxacTWN5771FX9YF0sS9ch/zyyXuuF/1a31satHI\noqqvg6OvuVkIthZk3FjBufD1Tw9U+K25SOvdbSODWQZymZqLSo8pxtrmx0pFXOulQqXuHCZmUDco\nl67uc6bR82cu2zgGp5U4tpXSUxacSrVe00ulUowPR2uPoB6abCYV+8BoC878UjkQI+F6/WZATSJm\nDE/NRWVYcHJpw6dpxODoLzmXYWggQ7HsNPQvt0Kgh1Sh4tcAWgo14FsslH3Bp4VVzUVVC4jW10B/\nHj9YOmJVadaGGB/OM7sYbUHQFjX9aLarVFSrNR94lFuvVqq8uUVs117lnnrGGduAtZnka5kh8XVw\nkrDgQPM4nKVipa4mh2Vl6BW3b8Fpscz85rGamysca6AsOA2yqLTyMRFvwdGTkQ5EbsmCYwYZL5cZ\nGsgy5E1YxVLQghPOKG0UgwMqsFUFGQcnr82+haQ2GdaqQad95a/cootqoVCmUHRwXRjxFAjtRpoO\nWXBqMTg6eDhCwfHeO7NQ9OVswILjKUCPTS3ywKNKwZlbqiWpmN+tXhxGZ1G15qLavmWYbZtqMWC1\ndhf1QcapVIptE4M1F1UHFpxpoylztIvKWxR7VrPx4RyLhUpocV9TEOOKPIIZZLzBY3B0MFK478v4\nSJ65peBEWzMdpwM9N27bdZgP/dutvoDSk7uLMjtqwl96uPEcwNiQEYOTzfg3d+SXnE37N4M52X/x\n/93HZ761s61iS+bYFgvlWofgkCJwZKZ2kwaCjLOpmouq7PjWFl34yte2I1aB5ophfCRPxakGXCAa\nrXDqjIZ2LTimn36pUAlcn3LF8QV1I9O+Zo8niM563BbSqdSapIm3UgdHXxOz/02rmEruQoMsM60o\njvsZONaC0wm5rHKjaBdBxZAzjdC1cKB+pdooqB+MGBxtXYmy4JS0BcdTcFqIwTHlyMJSmbHhXGAi\nCtbBCVtwmig4XhE53+oetuDM1WSTuY+WoQ0tOCHlPjzZDg1kGRrIejE49RN1sVRRrSYirFCmeyvq\ns2oF6O4Hp/2khfnFstGqISIGx7vOgwP1LqpmFpwwaS9btxZkHHRNbp0YZLlYYalQaRpk7Cs4Edfa\nVECjXVRBC46+78yYQDOGqXGQcQ/F4AghLhNCfLbJPt8QQlSFEI73uyqE+EGzYzuhVbFmbDgfuGkg\n6M7KGim6Ox88ykMH5v2AXPMLCQTFhoRIoCZERAxOLpeONPmZLiptXjSDZu964Ci3755iz2OzzT5+\n7fwBBafiR7lrl5Um0Bm35FD1im7lQkHG+hpol5uZSRGmaPh8GxV40sqiri0Rrn3RjGVDWau6buC7\nNRW5VgKG9XXYvmWYgXzGNz2vJpWQOzWTTuG6taKL1WrNQuhSCwyMo1xxAgUKzdV3VJsSjZ74/BRj\na8HpiFQqxdBA1nefhifwOMwYnPC+A00sOHNe12ltBSpHWnDUePQzGRebFozBUcdxXZeFZaXgmNWG\nA5WM/RYP7QUZ1ywbSt7othWmhaDi9QxMp2oLr4YxOCFZEJ5sQSkqR2YKgQr3BcOCk89l6tzvYFpw\nSoYFovZZVTHUVCC5YdYoMxJVByccZFxpw0UVxZARqF0sO+SzaV+Z0krw0bkCh72WFNpqFqahBWeu\nsQXHjMEBIxY2kFjiWcpMF1WDIOOud1EJIS4F3tbCrmcBFwE7gO3ez+ubvSnO3x0VaGwWmMpl0jhV\nVdRO+871F2EqOLOL8Vqr+b/ZAl7z/7f3ntGSZNWZ6BcRGRHpr81765av6qqO7mpDtTe0GiMBAqnR\ngECjeYJHowcMDwQCZtAYaSSE0Iz0mlkwIyF4WsOIJUCAYLEkzXoSIxrXwoimLW2jbfmqW7euz5ve\nvB/n7BMnIiPSXZdZdb61elXfyMjIE26ffb797b3tmBGaJk431IwZkkDRMywUXvjmT052Ov2W3weY\nsySPWxbk+gV2Na/nRyzcwREhqjbl430MTuChfuyFefznzz+IfLEqGJwcL5LWa+ZSUFgsZ4zJDg71\nYmk0mvjmAydDawPNr5SQirNVHdM7bEzhwHYINmE0xMrUX5OD0ClM9a0HT+OPvvgQjlMtH5mmbxOi\nIkdxRDE4G4aEbUiMqD9bLgo0cQIhDI5poFZvtjB8hNVCFZmECdvyCugF4Tk47B3uhcEplGuoN5rI\nJCzfROQPUfXI4ATaMtB7MC5qtXg2q95oiPeDQn3tCv0Fn325ijFhLGOL/cYCLHKpWo8USdO+S3mZ\nwfFLIoitmBqlFgXhDo7oRSVdM00LhKj6aCKcsGM+kbF8LpMik6oIly+Irj44EXqcWEhSDKFziIo7\nlQmuweHp80uSDseTZ+jd1cEZVAfHcZwDjuN8G8C/BnC8w74WgEMAfuK67nnpv44URnBVTAhLFZeL\nAhrC8WgIQ7Ac5uDkZQbHfyPksEaNNzAjuhpgcUZd19gDHGBwNLAXnERmNHlXql6lzwefmfOlNEaB\n+osQ1oo1X50CWa9C9KymsQdLiM6kdMxKrYHVQpXVKuAPoWBwQkJUlWqds2J6S5HFB93zeO70Mh59\n7oJwNonB6SZEde8DJ/FPP2WF64LZZvJ5yZoTYmOePLaAL937LO57xF/4rtlsYn6lJFY2thXrKqy1\nXgRLGpC2QJSL5waOVpGdUsWpQSA1Eax06eDQs0bZH4rBWT8SlsfgBEW0kd/hYRO2b6uDAyCSWVxd\nqyCTspgt07W2GhxadJCNODu/hs//o+tV8Q0JO4kQtRyiqjCRMZ2VnHABdM6iogUUvcfkAFJV58UA\ng0Ofd6rNIo8BYAufNSllmSCLunflmPiYnK12rSbiFmMbKETFbLd/X2Lubz4yDdsyIjU4wSyqmEH1\ngdbH4MStmFioB4suTkjF/p4+sYSRtCXE10GsK0RV9IcFg0UGAb88o50GxwvnD64G53YAJwBcA+BY\nh32vAGAAeKrXH4lycEbaMDiGoflWBeT50qS85mNwWuk1QpDBMQ0dmqaJG0c0pmnoLd3ETZPtKxyc\nkr+JZNwy0GwC33roVBfXoOkr2840OOEODjE4U2NJlCp1X9dWihVXanXR5p6yxDoxOPQ5rRbputNL\n8czJpZYQVTcOztfvewF/9/0X2XmU/bFlmbWRz5HYGJHuH8imyxerqFQb4sW3TX1rKxlLISrAC7NS\n3ZLpcX95+CjQPSbGSnbS2jI40speg2JwNgIJO8ZCvo1mTxkgFKYKCpKtNv2oanVWiJMcF8sML+HQ\nEqLi+/zzE7P4zkOnhQ5N/i5lUVGIM5M0fem85UpNsCIeg9OaWRQGM+DgEENjxnSMpCyR6UPnGBMM\nTo8OTrEqbIUcopJDgrtzrMM4vfelSh22Gc6caJqG0YzNRMbV8K7pdI2vv3wS2aSJlbVKBw0OsVis\nlIg/i6ofBscQVaLLlbrPSaKF3BMvLmBlrYIr9o5Fd31vUwenc4jKf80nAzV42HE95soKMHoyBr6S\nseu6X3Rd927Xdc93sfvVAKoAPuo4znHHcZ52HOcPHMexO30xWP6ekAlp11CXqGM5rksvA03KqxEO\njhdaajU+1O4A8DxwykqKBWrulKsN8RllKHgF7Ni/N185jWzKwn2Pnuk4AQllPDcwa6WaP0QlhWjm\nlkpIJ0yMpS1Uag0hTpQLatV4iEpOebeEg9M6FpkSHQmEqMhoPXNq2QtRjSTE9zqdV6lSF1lZdI3o\nxSn4QlQyg8OOSyua4GRPTtc4f/HjvIhhtwUCu0Gj0cR//fLD+MaPT4htQfGp6LETYHD2TDHj28nB\nIeqXzldm19aK0SE3Wtkn7BibHFUdnHWDmJhSpRZauiIKxCoE7Ve7921Vcj7YvnoEg+MPRZKdELZG\nYo0J5OzQu9oSoqrWxe/S8yZqZnUIrQQdHNkBHM/aWFwtCzazXm+KaxKWiRpEiwYnwCYAXnIDAOzm\nDA6V+6hU6yLcF4axtIXVQhWFUi00FPe6W/bhDXcexL7pDLJJtm+7OjjEzMV4/bFqrSEW2p1CfWGQ\n+6FFhagee4HV/XL2jLYegMNsw5b5GJw2WVSeg8MXaiEMjhlj+tSYoV0Shf6u4v8+CeB1AD4C4B0A\nPtPpi17V0IBHHcLgyGm6MUkbQxMtrYjXilWhpfExODU/5dvC4AgHh91gcjhiMX9biEq1LvalVgg0\nQdO/2ZSFaw9OoFiuixBEFMjbJao3yOCQZ91oNjG/XERuNO6xINwQmJIGp8BfEjnl3VvFtT74lWpd\nGGThWPIMtgU+9tmFAk7N5WFbhggfdmJNyMjWeBiRJmZiXmQGxycypn5hgaw4Aq0oaGVjWQaaiBZh\n9oN8qYonji3ikWfnxLawVg2ApMGpeOdnW0ZnBmfN35ndJzJuk0VFEwxzcHRVyXgDINci6TaLCvAc\nnCAV306ASYsXYg1IvBtEVBYV2Tt6DuT7LxycosTgSCvtcqXBCrlpmthXfp7agRZ1hVAHJ45avSmy\nP2u84jzbrzUTNYgggxMmMg5lcKp1rnVqhtbAIZBzNL9SCk2xvmLfGO66fb/Q47AaZOxcwnpR0WKK\n9KC1ekMsyPoKUfHnL1+stpxLJmUhZujiN529bRycCAaHbLkthSuDyJdqvIUEX+ymLcQMDfPLrZWj\nab6IEtPLkYWNxpYX+nNd97cdx7nHdV1KCXnCcZwGgC85jvMh13UXo75LD/3UVAYTUn+YfdzY1xpA\nLseqjs7Tyidtgy5pdiQhVs7FSh3jE2kUyjVcsW8c7vEFFCt18f34OZZlNT4Sx/xKCaZtis/qzSbS\ncfZ3OmUBF9YwNpJALpeBZRpowBtHpcqKsOVyGexZZZNUQ9OQy2XwHP+N6ckUdHKYUrb4bhgaBtNi\nTI4lMbtYRLXu74uimwZyuQzml4uo1ZvYNZURVKlukiDMxuQke+lLPPV+cjQpftd+jnUejyfMlrFU\nag3kkmy7xdPky7UGkum470VYylewYyKJXTt4oTRd9x1rdqGAP/3rR/Abv3IU0+NJrEip5rplQuPX\nY8+OLH76/Dz0mOF9XxJ0Gvzl0WOU2t7w/U75KUYqHtwzhlwug5E0c3TS2YRvlbce1C6sAQAK0vOT\nTLLHeIxf1ySfeEZHk8iNJ3FqgY1rYjSJnZMpnL2whsnJdCid3Gg0BUtmWOxZMiSjVgmcswzDZE7X\njskM4nYM9Uaz7fOl0BlxqZpx0JFthwMzWXz/sbPCaSe0c3BIX0ciZcs0UCi1LoJoQUALFZq0hL0T\nDI68UGP/LxgcKUS1Vqyi0Wwibhk+1shr69Itg+MXGQNeJtXcUhFjiRhq9SaSthfiBzo5OP7wbDBN\nHPAyzmzTa0JZrtRbJt0w0OKx2eysNSLHc54zHmEaHAIx5/liFaVKTeg2ewUxOEt8QWlLYS5d0zAx\nEsfsQgHZlIUd48nI40RlUa0WWNr77lwGx86tRjI4sqhb1zRMZOOBEJU/2hDWaBWQk4c2XoOzLZWM\nJeeG8Bj/dw+ASAeHVr9LiwU0pLTjGi9wNzu/hrk5lmUyP88mnXK5hhq/QefOr4oXbn65iOMnF9Bs\nsrS7TNLChcWC+P6FeeZ8UGGvCwvescuVOjIJE3Nzq6DaRNVKDXNzq9A1VmeB9q1U60jF2b71Ch/n\nBXass+dZm4NmrYEmfxjOza5gxI5+qWb5eaX4PsfPLqPRBG8DUcfsXB5zc6sipTiTiIkQxplz7Peq\n1RoKefYgnuYNK01dE2Oml3peuh4AW4mUK3UYAObmVkWl47mFAtwXLgBgIRdKwU/ZMeRXmUe/vFry\nHeub95/AI8/O4Tv3H8fP3rAbJ854j8SLJxdxgXfYTvGxnJ/Pi+/P8WsAAAtLBTFWAFha8f/OiTNM\nexBDk23nzN7pc8uoljwnuVfITNZpntm0tFoWv724zMZTWGPbavzFPn9hFVrdS8GtVWoYS9t48cwK\nnj++IEIMMlYLFaEpW+D3ZHnFWyktLPvPWcZ5fq2qlSpiuoZ8sRq5bycox4ghKaoZ17quZAwAdx7d\nieudnGCFCXYbDQ6xHCOCwWmvwUnaMSFkZWMMMDhyiCogMs4kvRAVMYa2ZcCSj9driKrSyuBQLRzm\n4GRQlzQ4XrPNziGqhG20TRMHgMnRuFSDpeYrjBcFOeMtqo8TQegQ1yqIcV0mIei8kIND4fh+9DeA\n51yS8xsMc01mbcwuFODsGY3U39B4gFZnkjKoZiaS3MFpfd4KpVrLAnFyJI4nji2izMNmXokUT6ca\nrHAv//7AZlH1AsdxvuI4ztcDm28CUAbwXLvvRq2WKE4sMxlyhVESruWlz5fXKl56dCKGkZSFpZA6\nOHTsziEqbwXiTxNvCA+WQmH0uwXpxYxbHjXcDmRoskkLuqYv4b6fAAAgAElEQVTh7DybSHdOpHzH\npJBHbiQhjk1UdMzQxXjpYfaFqCJWlNVqA014PVx0TUOGi+woPHXD5TnxoGaSlvidoOdO4yNqV37w\nl9fKwpCGhqjKrRocum7BEBWp+oXImDLE+hQan51fw8e//DDe+4n7RGYTrZLXilWfrgCQsqj4M0uf\nUwVm2zJEumlUmEoOQVI2HxkdgzstUfCFqCImR4XeQO9TsVzzanN1sRLXNa3FuQHaZ1EJBodPJuRs\nBDVkxTILGQgha43eC2JwSLvV8CqVS2niAMtConMjxjDOBaKCwek6RBUuMgY8PRxljdYkDY7ZQ6G/\n8QwrakfPv+zgpOIx3OjkcPvVO2Do7LqUq42u0tzlDKxOLSky0v0MFtQLPhNGIIuqn/AUIDs4zHYG\nj0O2rl14Sh5vkMGhFP4ZPqcEq8U3eWuM4DNAFZcv8DBVOYzBaVcHZ1BFxu3gOI7pOM604zg0g34N\nwOsdx/mg4zgHHcd5E4B7ANzjum7bRk1y6rcMQ9eRTpg+DU1NzqLiNIs8iVZrDUGnpRImsmmLpUYG\nurSSQaKJpdlsioaVgCwy9iYyin83Gmxf+iwVN6FpniMmpzd26+DQBGWaOpLxmBgnPYyk66FzmxyN\ni2Pni+x3KcUd8MRkvpo+EYX+woxDJmlhpVARqvupsQQO7syya5diTphl6i3Vg2l8ZMDle7OSrwhH\nzRMZR2VRkcjYE27LXbsvrJRgxnRkAzV++qlm/KMnzuF3P3s/njy2iHqjiVnOMom6RvAcLPGsRmhw\naGVtmwZ28jTOhyUNj4ylkPpMdG9G03aoBqcaEIUKDQ4XWir0j6RUz2oj+uhYEe8b4DE4oykviwpo\nnZSKlTqS/B2WGRyhwanUhD1Kx8OFwwkrFsrgmDFdONTFcg2a1lk7QtqMYJo44Dk4c4vk4LQyON00\n2xTHWSpym+aNSdM0vOcN1+C1t7COVzS5dpPm7mNwOoiAZcY16OBoAQfH5M5nvcGSKPp1cEiDs5in\nEJX/ONccnERuNI6jhybbHifKwaFF79RYArqmtTA4lWqDRz4CDk6wmzlVMo55GpxqreGzzwC711To\ncaOxGQ5O0HreDuAMgNsAwHXdrwK4m//3GJhz8wnXdX+v04G9LKrWC5FJmr5JUm52SMZnNbDSPT3H\n6Pt0whQPKq1cyNhkAiJjLx3Qz+DYEoNDoimv+BNnPHQNqbg3TrkaZLDHSBRktb68YqFJkiZ/ymia\nyMbFsSkdVK6Dk5cEhoSoNHHRU0XuzZIyUarUcY5P9uPZOC7nyn2ib+Nmayl6Yivoeq8G2LVWBkfK\nopLuIxlwEhk34S8SuLBSwng27qXAt6nH0Anfefg0Go0mbr5yCoB3reW2EnQeokyBaLap+7aXpRLr\nN185hbGMjW89cMpXKIsgMzhBB2cia7dUsH7x7Are/fHv4eFn57zVuR2DFdPRbLan/xU6I0yD06mS\ncTt0o8EZERocr8WKjFK5JhwvM+a1pqFyBMVyTTg0tJgRTpDkBOu84SXZCttiDI4cokpYsbahD3mc\nUVlUAGNwmry6OjlAYcVSgyhX69A0YDRN+peSrwZOGGzTQFkKUbVjcKjhZqf9gACDE3gGDC3I4EgZ\nvbVG/yEqyx+iCgqmb3By+ON33y4cwChE1cFZlDJPbctoWXR7fbTCmSNycCqBkgJRz3mt1tyU8BSw\nCRoc13VfGfj7e2B1b+RtXwDwhV6PXa1H08HZpIWz8wVWFVPXfW0d6OLlAy0FznBxaDpuii6xy2sV\nTI0lxc2hSZpucrBiJXnTIotKqposenFInr3siBX6YHA84ZbBRXXMUZiZYGIymtAoG2s848WgfSGq\nQGw5E8bgBDJuhEBPerBJZHfsLNN1TGTjuO7wJP7+R8exbzojjiefV7PZFC8BTd75QLp+kTeIzCRM\nGLrmL/RXYvRosVzzqpNKx8/zzLgy77NFqdiAHA7o3cEpcVr2usM53P/Uea+RaVl2cPwMTjCLirL7\niPWhCeSul+7HX37Dxf/64TG89dWO73d95eYpRFVrQNc0MfHli1Wx8nzhzAqaAH74+DnxHCd5mjjA\n7mtUfxqFzkhIGhyvYnr/17NTFlVMWsyQLQkuPorlGnJcUEpCVsCbjErlmmB/07z6LB2jUK6LInQ0\nHrIzcdOAHfOYv7DQRBjaiYyzKQuGrmFuqeCrOA8gtFhqEOUKq8VFjlqz6bUMiELcMrCUL4v3p1sG\np5ODk5UWhrGATQ1qcEyeRSWPqR9QFp8nMu7vOFGVjGlxPJ6xYYeUJYgqUkglQShEFdTgyP2o5Geo\n1mhsisAYGLJmm3VOZYWtHihlOS8mGKqD4zVwo8mHPP8zXICZTnoMDk24wTRxullBB2f/jgwSdkyo\n1clDr9ebLfsCzOMnrcaaVGK8eweH1+cxdFEmG/C8bTrm4moZqXgMtmWIYxPzEZNCVIR0snXVElXs\nUH7pycE5MbvKVlUZCwdmsvjUB+/E9Zfn+P4xn0Mh925ZCtXgVIQh1TQNqXgsUOivKoykF6LyOziA\nV6xqQlrJrIfBKZbrSNheyw1yJuXfXhHp7uEaHC9N3F8H445rZjA1lsB9j5zB+YAWR2Z1ZAbHMvUW\nXRfg6Zoef3EBq4WKCBNaEff1mZNLLZWjFaIhdxSPKj7aCzoxOCMpS9g82Uktlmv4p5+eQaHEnBcf\ng1NroCn1cCuU68KGpQSD4+l05AlHfr9tKwbTZKUVqIRDbw4OaXD86dOsV1RRYsC8z5mOsX2IyrYM\nXxZPqhODYxkoVxtd9dKKGbqv7lA7ZOUQVcDJjcqiIvQdorL8Gpx+HZwoBmdhtQRd0zCatkNTu6OK\nFAZDVJUQDQ7Qyj7Wao1NY3CGysGpNZqRhsSrZswMvcfg6CI8QAwGOSOCwUmYGOFOz7IIUZHI2K/B\nkdsdAMANzhT+5AM/g6kx7uCIqskNTy8jOzgJk2k1SqyQVMzQYMV0kerXdYgqpvtWLSNpC0k7JpiO\nxdWSEMsRhUnnbxohDo6PwaEVXmcNjnAAaw2Mpm1xrW2pAijFv0n7IYtpV9eYs7fKGwraloHlfIUb\nUvY7ybgpUkGbzSbWSjWk4zFOO/vFlIA32QcFxvLY+2FwiuUa4nZM0OHCwQlhcIKNYb1KxlToz7+S\njBk6/sXPHEC90cS3H/RXtJYLWHrl5lnDQDLycthObr56/NwqEja7F157Du/cXzizgj/64kP48ree\n7fl6XKpIbLAGJ8rBaTRZeQBakAHearhSbeCHj5/DX/z90/j4lx8G4Dku5ODU6g3peasJm8YWDt4E\nVOBhJ4I88cZ5FhUbXwOlcr1jOEgepxei8tvtiWyctUMQvaqk0g+GjmqtfYjKNo2AqLg9g8P6fTWE\nfezEzBCL02m/VILpKoFWDU6QwTFaHJz1ZlFxkXEfxQKBdiLjEkYzluhcHtQr0j0NOmjZlAUzpksh\nKj+DQ+cb7DPINFjKwWEMTsSFyEjpemxfr1Q+3UjSR0xzB4cmC1mDsxzQ4CTjMcYURISoAPjEUXLV\n5OANBuSMryrWilUk46av5UOnibfic3Bi4hzTCVMwHVQoj2pBCJFxgRgcrb2DQwY38OCHOjjSCmYi\nIuZrWwbqjaZgNahHFsCMOGvOycJKo2kbK2tlzpaw80vFmePWbDZRrtZRbzSRjJu+0FdRqqNDk/18\nCIMTb7Nabodms4kiX+mKCa4U5uD4n7+Y0OD4s6joO/K1ZBlommiSR1jKV6CBXWtqTVGpsS7CdN98\nDJik2WnCM4h2rJXB+cnTswCAB9zzYkWv0B6CwSvVcJZrzzpl27SD0NUEsqiokNuIT/TqOakkBj3G\nyxTQuEjI6hPmSxoc2zR8GXWlsj9kIAtr5TL7y2sVNNE5RRyQQmkRRdzGszaaTa/yrewAmYYW2XgU\n8EJUslPTjQYH8OaHTo4LLQ47iYx1qflmiwYnLEQV8zuP/YAWfmRP1xuikhmclUIFS/mKKI5omwYq\nFX9igmBwAuVMNKqFwxewQQZHLMYCSRHVenNTMqiAIXNwavVGJIMTrGYsZ1EZgRDV9Ji/+FEqYUqN\nI3lJfH5zbJM1XwtqcKJuiCnFNYUzJBk/SsfOFypYK9WEk9KrBseM6aKwFWUrJeMmiuWamNjpJSVG\nJi8xOLrmaZPiPFOC0DGLKkSDA3jiwSCCTgUxONNjLGa7lC+LflgjKVb6vFytC0OajJuoN5hzE0yt\nJ2aoVGllUcIcHKtLRzIIOXMg2DRVdq6IJaP7ZASyQ8hwh4X7zJiB/TuyODmb953P8loFmaSJpO2F\n+qjWBOkp5Eyq5bWyr8EdjVeeHAHmtD3ozolz+Onz8z1dk0sV5Aw88twFHD+3ihucnK/IXK+ICpuS\nxsLP4HiOA03Wh3ezYpr0LtIkKju9pXLdJ/oklqfeYKnTCTt84rUlBocyuhJt6nQROqVM0yLzOHfO\n5MxYxuCEOzi0yGHPfvcODp3TMp8fOjkXdM27aaVAc09XDM6GaHD859o3gxOiwTnB66LtJf0kD0/K\n94NsUzCLCmBZu7TIDi7w0/weBVvL1GqNFudwozBkDk4zMluBvOhVweBQHRxdrKI9Bscr8KaBTZZC\nZJz3MziWqfP4LbspwRBVEHLPIeHB+kJUfJy81wmtQrwsqu4dHHpgiH0iZ4myw8jhoBcpKIikF1I2\nFOycPQfnqeOLeOgZNgl6k7J3PnJdjyjVvtdojdfo4SK0Q7uYYV5cLWOtVEMmaWEkZYk0PJnBAdiK\n2at5YcLi8eFypY5m0ztPWiGEhaj6ZXAoUyphGy0hqjDnivQ/RHUH08RLUh0cGYd3j6DRbOKFMyti\n23K+jGzK9tHFlRrrcZYOCVEt5ysYTdu4+sA4H7O/VhNNdCdm87iwXBKrtR8/OdvTNblUIdfBiRk6\nfuUVh9Z1vKgQFbHJIyFpy5VqXXz+m2+6Fne/9gr80p2XAUALY03HpmfOjHnVicneRGlw4jKDw21j\ndxoc/3MdZHAO72aZlk8eW+Cfe3Y9nTCxuFoWzo+MWp0tNGwzqMHpEKIK1PfpxMx4IarOUyQlogTP\nuVWD45UsAfoPUQUdI7vP4+i6BkPXfM4LXXM5QQTwl9Vo1wmdelLNL5dQqTHxMDl6UQxOrREdmVkv\nhsrBqdcbvnoKMrzO1qSBiK6DM5GNixeKhaB0JGzGYiwFQlRWzPBpPWohISoZfgan3rIvMTgXlkto\nNJtisvQYnE4aHG9ctGqkl5GOdWqOVRIWGpzAg0jjIcdLThEH2IsZM3Q8e2oZ93zpYXzq648hX6yK\negi9hqiC4be5pRI0QNTLIS1UJulpoQCPeUhIDo4v84w3j6QXhkRuQoOzUoaGYOGu1he2G/gL5ukw\ndE1sk0NUlKl3fqmIpB0TDogeosHR4Hd+AeAQX41T92dWm6mO0bQlzrfeYOygbepIc4eZzrnRaGKl\nUMFI2sJLeB0M4eCIDBx27g9yx/Wul+7HzEQSjz4/r8TGXYAVymTX8jU370FutP+K2EC0g7MUqIED\n+LOoVvIV2BazA3e+ZKcotEbv90qgaiw5KDavGVOtNUSYVZ5s7SgGZ617Byf4XAc1OAdnsjB0De4J\nFo6VJ7hfftlB1BtNfPpvHveF2QBJuxbQ4HQboqJz6MSeEMufCSnMGAQt8oKsvszgaBpjqXwMThdM\nWBgMXfeJn/sNUQFszHKISjg4O7wQFeAvjNquEzrZ4LnlIkuEkJw+ckLXAuVaarXmpjTaBIbMwanV\nG5EMjghRrXlNGwFeBydQgyRpx8TETF6lpmkYSVmChq1wZXdQaBWmwZEhl78WlHCIBofqxtBLqutM\nbFzsxOBIdXgoi4qcAnqABIMT0OAEx2gKB6f1JU7YTDdjxnQ0wViE8EJ/nnM0HtHbKdi888JyEWNZ\nWzAr5JARg+ONwc/grJX8jfXouFS3gVYPNNnPLbHfkVeP/VYyFl25eQ2QhCToLlZYRlPSjmG1wHr4\nzC2VkBvzJj4hPm94PYIsSYhNIFbr2VPM8FNG1EjaEmMnLZVlSiEqfs4rhQqaTbbqv/ayCaTiMeye\nSon9Ae8ZftA9DzOm45qD47jlymlUaw3B1im0x0Q2jtG0hdfdum/dx7IlVkbGcr4Ng1NjDE5Yaw/P\nwfGXxViW2Atq2kn2JhnF4Fgeg0MOVzcaHNMMOjj+v23LwGW7R7xmnJIzcO1lk3jtrXtxfqmIz/3D\nU77vyTaopywq0uBEtDcI4uYjU/iNN14jMkHbQYQGA3OTrmmgLUGbC/QfogL84aF+Q1QAeNVrycGZ\nXUU6YYrFalj4NKoODuA5OLMLRcYyS88BzVdyRmyDl1RRaeLgIaooDU7Kr8HxMzj+04zbMWEY5PAM\nE7iyrJ5KtS7oSVo5NxpS6neEx0m/VZPTxKWbTCEqqoIrx+6jmpHJkB2s6bEkNHjdcqMYnKCHTy9Z\nVIgKAN7+2ivx3jdcjdfeshcAsLRW8VIspePJNTqiQlQiLFSpoVprYHGljMmRhAgLnuIOWSbh1SMC\nPAeHurAXSrXQ1HoSW4qigMUqiuUaFlfLosIzoW8Gh15qyuyyY16IimehsBpHFSytllGrN0QLBkDS\n4FCIqlwLNbKZpIWZiSSeP7OCRqPpFXpL2V4ZfXJwJJExxbVpUhxNWcgkLXz8vS/Fv/iZg2J/gBmr\nMxfWcHa+gKsPjCNuxXDLkWkAwE+ePt/TdblU8aFfOYr/9LabumIzOkHnjGlLiEo02pQYHBHuZTWe\nsm0cHGKsyWZ6Do7OWz7UPWYy7hcWy//fwuD0kEVFCMuSOXJgIvLzN955EAd3ZvGAO+fLuhQsMmeW\n6HudNFBBDU4n1sPQdVx/ea6rZpi0yAtb9NL3aQL3i4z7f3bidjjj1ivkqtdrpSrmlkrYN+01/Q2z\nl1EiY4At0Axdw/cePYNSJYLBkUJUtGBXImPwEFWEYxG3DMQMPSSLRWvxDhO2IRgfv4NjodFkKcuU\nhgv4vViZQQkD/Vat3hD7Bgv9AcC5RT+Dw84h1jFEJWdR7ZxM4Y/efRteft1Ofiwv/AV4Do6h+9MT\n6RoK8VeIg3P08CRucKZED5yVfMVHD8sgIxvskkyQ47gLKyU0AeRG4+J7Z+fDQ1StDI4/RCX6afHz\nTSdMJGwD+WJVMGQzgW663dbBaTab+KefnhEFE0W1V8sLm4kQVaWOuB1DJmUhX6xhlpegn5IYnGAW\nValSj4zvH9o1glKljlNzeUmH4TVCJCfeMllNHl3z+lHRKntEEklSlp8pRMYNPHWc9bQ9epiFsabH\nk8iNxlmRQJ4xsVqo4LuPnG7b2flSxcRI3Bf6XC9s02uHQFgS7J33O/QeL66U0Wg2wxmcQGHT0UAJ\nDCvGwvG1elOECxIRISqZwVnuhcHpEKIC/A5OkJk3dB1H9o8B8LR0gF8HqGmaYAW6qYPj/37/TkEQ\nQmRstB7Tc3BaGZzEuhic9Wdj0XhonjoxyxbGe3d4TXXDQlRemnjrNR/PxvHSa3ZgdqGAlbWKn8GJ\n+xdjgNQZQIWoWDpZFIOjaRqyKRMra7zQn1QHR9btWCari5ONYHAAlpZb5mm4gL9AUacsKjn1LixN\nnH6PVmepAIPTi8gYAHKjCZGBIMeh5XRmIJitw182M1yDI0NOn49qVHfZzhHMTCQjjYxsXOQmoNmU\nCQ1eumMwREXnQ6uzQqnqb29hUoiKGcC4xVJH88WqcJpmJv0MjhXToaFzFtWjz8/jL/7+aXzzgZPs\ntwNNBpN2DJUqqzXCGBwDmYSJRrMp4tiyNiOsDo5thl8vEmA+e2rZ101aVKSWQg1k5Cl7SzhEqdbJ\n10sTr4tqozslhmt3Lo18sSoYom8+cBJ/+Q1XdIdX2DzI3ZcJS/myaGgr9uPvLgn124WoiMGhchH0\nLMlFH4nRkG2FPGFaEoOz1JPIOJBFFcrgjIv/D1u40rhpkQG0lqoge9qJwQnarA11cET2WjsGh9tc\nXxZV/wwO3QPSS/YLubVQUGAMdGBwIhyr1922XyyqZDF3wmaLLZnBqYn2S5vjimx4qwbHcT4DQHdd\n911t9rkRwCcBXAfgFICPua77+U7HrrfR4ABsgjx7YY31N5Hq4ED2mm2/bkV2cGjbUr6MSrUhPHP5\nJnfS4ISmicdkB8vwVYdMxv2GpcxrDkT1eqnVWnU9BNnBCOph4pYhVvmCLjWiQ1QEr4VFWcos8//2\n2193BZpA5Jjj0vWjmD85ZpmkKSZUuaI00MrgrBbDNTjUyTzBRb2n5tZEl/Ugg6NpGiwrvKutjJ88\nxUI1NClQT5+EFKICmPalUmsgYceElun500wgHBqiakghqvFwcSql/T76/AXs4eHH0bQUohK1PLz7\nR9uEMDXdOvF5+o1GaIbZrlwKDz97Aafn8hhJjYv2G+sV0W4WurQ1fw3gTWAlgegBvdd13VdvwRC7\nhm0avrRugC2CRtKWr84W3UNaKHSjwSGmKcjgAFLXcCncQPYuZvDu5GbvIuNuGJyRtI2ZiSTOzhdC\nPycbRiFooLVUBS0Qu9Xg0Ni6CT11i73TrJr93ul0y2fUj4oWOP4sqnUwOLY/OaVfxHwMDnvf98sM\nTqgGp72DMzWawG1XTeMHj5/zRS80TUMyUJVeJO0MgwbHcZyPAog0NnyfSQDfAPAAmIPzJwA+6zjO\nz3U6vtyULQzZpIUKb0Uvp0TLLw9RseS8pEIZnLIohQ/4GQgvTTz85noi4/A0ccDPmMgMjm3F0AR7\nmBqNJv7q3md86cIAQqsjE0irAqCFPpcfRlOEqGiCjM4U8DE4EQ+2prXvBBvG4EyOsok1KzENmYSJ\nTNISlUHJidiVS8HQNTz0zJyg1JNxUxgtmcFJJ0zU6g1R/Ix6dPmuhdle61StNfDIcxcAeHVtPA2O\nP7OLau0wB4dd/+fPcAdHClHR9anXvQqzUavIqbEEduVSePyFBfzv+xmD5A9RkQaH/Z0bTWCtVMPK\nWiVUmEqQGzXOr5QQMzSfhmPXJDPQp/ki4fjsKiZH4m0d4O1CN7aG42oAvwVgBsAO/t+bN3FofWE0\nbSPPtWMAC5FSmwYZ9N5TscxuNDgtDk6IriZMZEzvuR2oStyNgyPX2dKASPtAzrwRYtfHhIPT2qqE\nxujsGcXuXKotCy2fi/zdjcJYxsanPngnbr1qR8tn5EgJ1lyaN9YnMvbLJ/qFrME5dm4VCTvmW9DY\nwmb46+BoaH8df+H2/TB0reX5TMVjviwqr2ffADM4juMcAPBZAFcBON5h93cCWHJd9wP872ccx7ke\nwL8FcG+n32rH4FCq+GqhInVz1qBprQwONWCUKXrSm8yvlFFvNKUS056wr1OauKzBoYJqZuBBSCdM\noZMJMjj0O2fnC7j3gVO4sFTC+990rdinnchZPlarg+N9RuE1L4sq2jjQA7qcrwhtRq8GQm6PcJKv\nEqhdxmjawimeuJNJsvLgmaSFlbWKuFeZpIUbr5jCj5+cFStOmcGZFw6Ol5b9/OllX7ZccDztGJwn\njy0IY04vY0nKogK8CYEyuBKWIRicpXwFMUMXzxMg9aLiBQvl6xKEpmn4d//H9fire5/BPz8xCw3M\n0aR76Glw2P3bvyODnz4/jxfPrrRocGTIZf7nV8oYz8R9E8+uHHsXTs+tYSlfwWqhisOXj0Zep+1A\nL7bGcRwLwCEAP3Fdd6DV03um0njq+CJOz63hEM8uqtUbvsaPgPfMUMg0LBRJtmE1wOCQc2DxNHFA\nYnBCNDj0W8GMqG40OPQ7NV59PordvWLvGO579GxomjclLdA7BrSGqN5w50G84c6DHcdib6KD0w7E\n3JADtxGtGgBvobXeczENHc0mC//PLhTg7B313SsKo8vSiVKljrjdmgEqY8d4Er97902tDk7CxPxK\nSUQpNltkvFEhqtsBnADwqwC+0mHfOwDcF9j2XQCf6uaHwjx9gpcqXpWauGnQmxKDw6lYZ+8Y/vjd\nt4m0NsBjcIhloIdHrlNR7UCpyWni1WoUg+Pd9FSIg1Ou1IXhcU8uodFoipVAWG2dsGMFHRw7hMEJ\nxrHDQC0hltcqsE1dpM73AvrtQrmG586sYGYiKa6BvEIlR2skRQ6ON+aXH92JHz85i7VSDWaMaQiC\nGpyE7RW+K1XquGxnNvQltC0Dq8VKy3bCAzyTSNO8VbCnwfGHqIRzJTE4ABNR+1p4iDTxprcKbbP6\nSidMvOuuq3DrkWks5yuIWzFxv+Q0cQA4MMPqCb14dgXLaxXRuiMIcogKpSpW1irYtW/M9/mO8SQM\nXcPpC3kpHt9Ku28zerE1VwAwADzVYb9tBy24Tp5fxaHdI172XMBRDYaHwxxZsg0UCgjaAsqiArpj\ncILh8G4dHDOmA+Xw8BTh5iPTiBk6rrlsouWzVJzVnGqnwekWwdT3rUJrFhVntbTOjTzbgezQes+F\nxvPCmRU04VUwJtiWl3lJKFVqXTln9EzLSMVNFt2oNmBbxqaLjDfEwXFd94sAvggAjuN02n03gIcC\n284ASDqOM+667kK7L7d7WUQbhFLVr8GR+rbJ9GpQW0C6hfM8w8nrgsq+4wtRhWhgADlNPLzZJuB3\nKOQQmVzNmFbpxXINJ8/nsY/HRas11q4izMmQhXbBlG35RaAxvuL63RjLxkPDODJG0jaW82WMpO2+\neu6QI/Lc6WWUK3UhogWALL/mCTsmnMORlIWTgfO5fM8odk6mcObCmljtiTo43ADKDA6AlhRxAivc\n2AjVOtXqDTz87AWMZWyk4qYQ44ry5JEhKiPg4PifLTmLioxFN/Urrr1sUvy/lybur+VBDs6xc6u8\n6rEVGhKgiYr6JwULM8YMHTvGkzg9t4bjgZLtg4Iebc3VAKoAPuo4zmsBFAF8FUzzV277zS2G5+Aw\nQbcsLpcRtCXZkBpWQYeE6mGJz01DsDJhGpx4IPwhOwfUmb4b0FjbhR90TcONV0yFfqbxruM+DU4X\ni4MwBIXTWwVPe+NncOIhNbB6ATHJG8HgAMDzXAoR1CEtjBAAACAASURBVBHFOYNTCWhw+g1be7Vw\nqtzB8cq5bAa2I4sqCaAU2EbGJjzPWEJUFhXgr5RIPX9ihu6jv8L6Z4iB2TGYMR3neZovGQp6oUuV\nziJjWYMjVx2W4dfghIWoar4O0pTSCzAHJ1LgHPNWZi0iY/4iGLqnlzm4M4s33nmw44s2krKwxmvQ\n9LNiIGP0In+JKO4OAKOcYpevyc/fshevf+l+ZKVtmqbh5Uf96fD0clPqdcLyF/+Kctxsy0Cj2USt\n3sCLZ1fwjNTc8v6nZlEo13CjM4VsyhT3vNgxRBUTNY4Av8AY8PeiIrq3V0PbUm6e3+tsysJE1hYM\nTpjAGPBCDSTADkvr35VLoVSp45FnmQZp347BcnB6xFX83ycBvA7ARwC8A8BntmtAUZiZYDozcnCo\nTlZwoRJcYLTT4BCCz4MVM4RNasfgiBCVL0mj+4mZnu/1TF5jGRurhaqwpUPL4JAWx/AvmvtFXIiM\n13ecmMTgAMDeKf/7Ls99hGK53vc1JNtNCS+1DnXl1osNz6LqAkUAwcAx/b3W6cvJpIVcLtzo7qTV\npmHA4C/wVC7jeyHHxxKR3weY0T/HJ4CRbBy5XAZTXHxp2jEYJh03HXqcCV5LwI6b0PhNm9mR9Yk+\nd/DMGCumY+eMx2ZMcl2KlbBQk8JqL86uit+qN9lDHXUO6aSFhZUSDu4b9+0zxqv8Wqbe9vwJ8j5T\n4yk8dXwRy/kK9kyHn3c72El27kSk3fqSXchxdmXPDHN2xvm1BoCX5TJ42U2tFWLvevlh/O0PjmH3\nVAa5XAbTK/5F+K6do5iTOmk7ByZCx5rl9yKVSeC/f+ZHWM5X8Opb9mH3VBqf+/+eghnTcdfLLsPX\nvvUsgEXYSQs1HibctXMEmqZhxxRfafMXNTeRwv49XsjnwJ5R32/P87CSbZtIcKdubLT9sxjE9Co7\nNzIOkxPevXD2j+OHPz0LgN2vsONmAq0l9u8abdnv8n3juP+p8zg+u4rRjI3DByZbjjMscF33tx3H\nucd1XfJgn3AcpwHgS47jfMh13cV23+/1OV8v9kxncPrCGsYn0nBPsQnnpdftFu8KAM46As0mY4J3\nzoz4jpHLZTAx55nRhG1gz25/KHLnzAjGRpgDS4zI7l1jYvFY4clm2bSNXC6DpiSMTbexv0EIptU0\nIr/T6Vg7pzJ4+sQSdMtEbiIl7PoObgO6RTrrLTgyKXtd97aX75KTR/NWiWt1UwlzXWOgOSmb6e5c\novbJcFv04tkVFiq8YtrHuFX53KkbbN6o8SSJfq/hFH+WzTg7/5PzPBsw25st7Bbb4eCcBMtokLET\nQN513eVOX65V65iba23CBgB1HkaYvZBHkQqfLRbgk+3UG5HfB1gmzznatcZ+q0y9jRYLWOXhkNXV\nEuZCViYFXpxrabmIPF8drSwXUJE0HzoX6ybiMd9YajT+uVXMXmATaNwy8PjzFzA7uwJd11Aq12Do\niDwHUQAqcJ0aUuuKducPsJdB3seWUhsNTev4/SDkUuCjaQt63Rub1vDCNd0c9/fffhNsi+1bXPM7\nOGurRTQkKjVlRpwrZ3wef+Y8lvPMnP/jj5leNZuy8L43XoO0qcPkBv/4qSWsrJWRsAxc4Pelyms5\nnOcr7Vql5rvHyZj/t1dX2Iu8m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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 16))\n", "for i in range(len(lambdas.T)):\n", " plt.subplot(5,2,i+1)\n", " plt.plot(lambdas[::10, i]);\n", " plt.title('Trace for $\\lambda$%d' % i)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The version_information extension is already loaded. To reload it, use:\n", " %reload_ext version_information\n" ] }, { "data": { "application/json": { "Software versions": [ { "module": "Python", "version": "3.5.1 64bit [GCC 4.2.1 (Apple Inc. build 5577)]" }, { "module": "IPython", "version": "4.0.1" }, { "module": "OS", "version": "Darwin 15.3.0 x86_64 i386 64bit" }, { "module": "numpy", "version": "1.10.4" }, { "module": "scipy", "version": "0.17.0" }, { "module": "matplotlib", "version": "1.5.1" } ] }, "text/html": [ "
SoftwareVersion
Python3.5.1 64bit [GCC 4.2.1 (Apple Inc. build 5577)]
IPython4.0.1
OSDarwin 15.3.0 x86_64 i386 64bit
numpy1.10.4
scipy0.17.0
matplotlib1.5.1
Mon Feb 29 19:45:30 2016 EST
" ], "text/latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 3.5.1 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n", "IPython & 4.0.1 \\\\ \\hline\n", "OS & Darwin 15.3.0 x86\\_64 i386 64bit \\\\ \\hline\n", "numpy & 1.10.4 \\\\ \\hline\n", "scipy & 0.17.0 \\\\ \\hline\n", "matplotlib & 1.5.1 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Mon Feb 29 19:45:30 2016 EST} \\\\ \\hline\n", "\\end{tabular}\n" ], "text/plain": [ "Software versions\n", "Python 3.5.1 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n", "IPython 4.0.1\n", "OS Darwin 15.3.0 x86_64 i386 64bit\n", "numpy 1.10.4\n", "scipy 0.17.0\n", "matplotlib 1.5.1\n", "Mon Feb 29 19:45:30 2016 EST" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%load_ext version_information\n", "%version_information numpy, scipy, matplotlib" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }