{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "ec7d5a70-51ca-4c9c-a4bb-dcfc293e1e47", "metadata": {}, "source": [ "(MvGaussianRandomWalk)=\n", "# Multivariate Gaussian Random Walk\n", ":::{post} Feb 2, 2023\n", ":tags: linear model, regression, time series \n", ":category: beginner\n", ":author: Lorenzo Itoniazzi, Chris Fonnesbeck\n", ":::" ] }, { "cell_type": "code", "execution_count": 1, "id": "7461c2a1-9e07-4a60-8df0-5f8e70a9d4f5", "metadata": {}, "outputs": [], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pymc as pm\n", "import pytensor\n", "\n", "from scipy.linalg import cholesky\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "id": "f1dbc074-72ff-436b-8063-682779163661", "metadata": {}, "outputs": [], "source": [ "RANDOM_SEED = 8927\n", "rng = np.random.default_rng(RANDOM_SEED)\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "id": "20d86071-b975-430d-973d-87295a17c8ac", "metadata": {}, "source": [ "This notebook shows how to [fit a correlated time series](https://en.wikipedia.org/wiki/Curve_fitting) using multivariate [Gaussian random walks](https://en.wikipedia.org/wiki/Random_walk#Gaussian_random_walk) (GRWs). In particular, we perform a Bayesian [regression](https://en.wikipedia.org/wiki/Regression_analysis) of the time series data against a model dependent on GRWs.\n", "\n", "We generate data as the 3-dimensional time series\n", "\n", "$$\n", "\\mathbf y = \\alpha_{i[\\mathbf t]} +\\beta_{i[\\mathbf t]} *\\frac{\\mathbf t}{300} +\\xi_{\\mathbf t},\\quad \\mathbf t = [0,1,...,299], \n", "$$ (eqn:model)\n", "\n", "where \n", "- $i\\mapsto\\alpha_{i}$ and $i\\mapsto\\beta_{i}$, $i\\in\\{0,1,2,3,4\\}$, are two 3-dimensional Gaussian random walks for two correlation matrices $\\Sigma_\\alpha$ and $\\Sigma_\\beta$,\n", "- we define the index \n", "$$\n", "i[t]= j\\quad\\text{for}\\quad t = 60j,60j+1,...,60j+59, \\quad\\text{and}\\quad j = 0,1,2,3,4,\n", "$$ \n", "- $*$ means that we multiply the $j$-th column of the $3\\times300$ matrix with the $j$-th entry of the vector for each $j=0,1,...,299$, and \n", "- $\\xi_{\\mathbf t}$ is a $3\\times300$ matrix with iid normal entries $N(0,\\sigma^2)$.\n", "\n", "\n", "So the series $\\mathbf y$ changes due to the GRW $\\alpha$ in five occasions, namely steps $0,60,120,180,240$. Meanwhile $\\mathbf y$ changes at steps $1,60,120,180,240$ due to the increments of the GRW $\\beta$ and at every step due to the weighting of $\\beta$ with $\\mathbf t/300$. Intuitively, we have a noisy ($\\xi$) system that is shocked five times over a period of 300 steps, but the impact of the $\\beta$ shocks gradually becomes more significant at every step. \n", "\n", "## Data generation\n", "\n", "Let's generate and plot the data." ] }, { "cell_type": "code", "execution_count": 3, "id": "4c329308-80b9-4e88-9698-199bdab66b68", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D = 3 # Dimension of random walks\n", "N = 300 # Number of steps\n", "sections = 5 # Number of sections\n", "period = N / sections # Number steps in each section\n", "\n", "Sigma_alpha = rng.standard_normal((D, D))\n", "Sigma_alpha = Sigma_alpha.T.dot(Sigma_alpha) # Construct covariance matrix for alpha\n", "L_alpha = cholesky(Sigma_alpha, lower=True) # Obtain its Cholesky decomposition\n", "\n", "Sigma_beta = rng.standard_normal((D, D))\n", "Sigma_beta = Sigma_beta.T.dot(Sigma_beta) # Construct covariance matrix for beta\n", "L_beta = cholesky(Sigma_beta, lower=True) # Obtain its Cholesky decomposition\n", "\n", "# Gaussian random walks:\n", "alpha = np.cumsum(L_alpha.dot(rng.standard_normal((D, sections))), axis=1).T\n", "beta = np.cumsum(L_beta.dot(rng.standard_normal((D, sections))), axis=1).T\n", "t = np.arange(N)[:, None] / N\n", "alpha = np.repeat(alpha, period, axis=0)\n", "beta = np.repeat(beta, period, axis=0)\n", "# Correlated series\n", "sigma = 0.1\n", "y = alpha + beta * t + sigma * rng.standard_normal((N, 1))\n", "\n", "# Plot the correlated series\n", "plt.figure(figsize=(12, 5))\n", "plt.plot(t, y, \".\", markersize=2, label=(\"y_0 data\", \"y_1 data\", \"y_2 data\"))\n", "plt.title(\"Three Correlated Series\")\n", "plt.xlabel(\"Time\")\n", "plt.legend()\n", "plt.show();" ] }, { "cell_type": "markdown", "id": "32971238-df46-4651-adc5-87033c191aa0", "metadata": {}, "source": [ "## Model\n", "First we introduce a scaling class to rescale our data and the time parameter before the sampling and then rescale the predictions to match the unscaled data." ] }, { "cell_type": "code", "execution_count": 4, "id": "29a3717e-d634-42c1-891c-2db16a5c08ca", "metadata": {}, "outputs": [], "source": [ "class Scaler:\n", " def __init__(self):\n", " mean_ = None\n", " std_ = None\n", "\n", " def transform(self, x):\n", " return (x - self.mean_) / self.std_\n", "\n", " def fit_transform(self, x):\n", " self.mean_ = x.mean(axis=0)\n", " self.std_ = x.std(axis=0)\n", " return self.transform(x)\n", "\n", " def inverse_transform(self, x):\n", " return x * self.std_ + self.mean_" ] }, { "attachments": {}, "cell_type": "markdown", "id": "a67fa460-2ca1-4899-98a6-1b428c2215f3", "metadata": {}, "source": [ "We now construct the regression model in {eq}`eqn:model` imposing priors on the GRWs $\\alpha$ and $\\beta$, on the standard deviation $\\sigma$ and hyperpriors on the Cholesky matrices. We use the LKJ prior {cite:p}`lewandowski2009generating` for the Cholesky matrices (see this {func}`link for the documentation ` and also the PyMC notebook {doc}`/case_studies/LKJ` for some usage examples.)" ] }, { "cell_type": "code", "execution_count": 5, "id": "c232abfe-9129-49c3-869e-b6eb9bc6945e", "metadata": {}, "outputs": [], "source": [ "def inference(t, y, sections, n_samples=100):\n", " N, D = y.shape\n", "\n", " # Standardize y and t\n", " y_scaler = Scaler()\n", " t_scaler = Scaler()\n", " y = y_scaler.fit_transform(y)\n", " t = t_scaler.fit_transform(t)\n", " # Create a section index\n", " t_section = np.repeat(np.arange(sections), N / sections)\n", "\n", " # Create PyTensor equivalent\n", " t_t = pytensor.shared(np.repeat(t, D, axis=1))\n", " y_t = pytensor.shared(y)\n", " t_section_t = pytensor.shared(t_section)\n", "\n", " coords = {\"y_\": [\"y_0\", \"y_1\", \"y_2\"], \"steps\": np.arange(N)}\n", " with pm.Model(coords=coords) as model:\n", " # Hyperpriors on Cholesky matrices\n", " chol_alpha, *_ = pm.LKJCholeskyCov(\n", " \"chol_cov_alpha\", n=D, eta=2, sd_dist=pm.HalfCauchy.dist(2.5), compute_corr=True\n", " )\n", " chol_beta, *_ = pm.LKJCholeskyCov(\n", " \"chol_cov_beta\", n=D, eta=2, sd_dist=pm.HalfCauchy.dist(2.5), compute_corr=True\n", " )\n", "\n", " # Priors on Gaussian random walks\n", " alpha = pm.MvGaussianRandomWalk(\n", " \"alpha\", mu=np.zeros(D), chol=chol_alpha, shape=(sections, D)\n", " )\n", " beta = pm.MvGaussianRandomWalk(\"beta\", mu=np.zeros(D), chol=chol_beta, shape=(sections, D))\n", "\n", " # Deterministic construction of the correlated random walk\n", " alpha_r = alpha[t_section_t]\n", " beta_r = beta[t_section_t]\n", " regression = alpha_r + beta_r * t_t\n", "\n", " # Prior on noise ΞΎ\n", " sigma = pm.HalfNormal(\"sigma\", 1.0)\n", "\n", " # Likelihood\n", " likelihood = pm.Normal(\"y\", mu=regression, sigma=sigma, observed=y_t, dims=(\"steps\", \"y_\"))\n", "\n", " # MCMC sampling\n", " trace = pm.sample(n_samples, tune=1000, chains=4, target_accept=0.9)\n", "\n", " # Posterior predictive sampling\n", " pm.sample_posterior_predictive(trace, extend_inferencedata=True)\n", "\n", " return trace, y_scaler, t_scaler, t_section" ] }, { "cell_type": "markdown", "id": "86e8989c-3013-433b-9290-ca4008de8919", "metadata": {}, "source": [ "## Inference\n", "We now sample from our model and we return the trace, the scaling functions for space and time and the scaled time index." ] }, { "cell_type": "code", "execution_count": 6, "id": "2af8e8b7-ce8e-4b57-abb5-440db4b9c24c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/distributions/timeseries.py:345: UserWarning: Initial distribution not specified, defaulting to `MvNormal.dist(0, I*100)`.You can specify an init_dist manually to suppress this warning.\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/distributions/timeseries.py:345: UserWarning: Initial distribution not specified, defaulting to `MvNormal.dist(0, I*100)`.You can specify an init_dist manually to suppress this warning.\n", " warnings.warn(\n", "Only 100 samples in chain.\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/multipledispatch/dispatcher.py:27: AmbiguityWarning: \n", "Ambiguities exist in dispatched function _unify\n", "\n", "The following signatures may result in ambiguous behavior:\n", "\t[ConstrainedVar, Var, Mapping], [object, ConstrainedVar, Mapping]\n", "\t[object, ConstrainedVar, Mapping], [ConstrainedVar, object, Mapping]\n", "\t[object, ConstrainedVar, Mapping], [ConstrainedVar, Var, Mapping]\n", "\t[ConstrainedVar, object, Mapping], [object, ConstrainedVar, Mapping]\n", "\n", "\n", "Consider making the following additions:\n", "\n", "@dispatch(ConstrainedVar, ConstrainedVar, Mapping)\n", "def _unify(...)\n", "\n", "@dispatch(ConstrainedVar, ConstrainedVar, Mapping)\n", "def _unify(...)\n", "\n", "@dispatch(ConstrainedVar, ConstrainedVar, Mapping)\n", "def _unify(...)\n", "\n", "@dispatch(ConstrainedVar, ConstrainedVar, Mapping)\n", "def _unify(...)\n", " warn(warning_text(dispatcher.name, ambiguities), AmbiguityWarning)\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "/Users/cfonnesbeck/mambaforge/envs/pie/lib/python3.9/site-packages/pymc/logprob/joint_logprob.py:167: UserWarning: Found a random variable that was neither among the observations nor the conditioned variables: [multivariate_normal_rv{1, (1, 2), floatX, False}.0, multivariate_normal_rv{1, (1, 2), floatX, False}.out]\n", " warnings.warn(\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [chol_cov_alpha, chol_cov_beta, alpha, beta, sigma]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trace, y_scaler, t_scaler, t_section = inference(t, y, sections)" ] }, { "cell_type": "markdown", "id": "5be27698-c47b-47c9-ac96-2fd8c2287ae9", "metadata": {}, "source": [ "We now display the energy plot using {func}`arviz.plot_energy` for a visual check for the model's convergence. Then, using {func}`arviz.plot_ppc`, we plot the distribution of the {doc}`posterior predictive samples ` against the observed data $\\mathbf y$. This plot provides a general idea of the accuracy of the model (note that the values of $\\mathbf y$ actually correspond to the scaled version of $\\mathbf y$)." ] }, { "cell_type": "code", "execution_count": 7, "id": "a3f72a40-faae-4fa7-ba14-2de3c83ca2e5", "metadata": {}, "outputs": [ { "data": { "image/png": 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iIiKialtpaWlVn/Dafg7ffvste/fu5de//rWCtlTjtGFphYOyM+UjjSnegAIbllSYROKiqwK3iEiVBi8jSb3IIPWihn7U5uvAgQNMmDCBa6+9lksuuYTi4mI2btzI3r176dChA//8z//c2ENsFjZs2MALL7zAtddey0UXXcSpU6f47rvvOHLkCP379+emm26qdvwXX3zBsWPHmDt3LpGRkdx3332NNHIJVt9bBgdtg/gGLh+pTTxwClhQYRJjuLjUVOAWEQHVbIe8Vq1aceONN7JhwwZWr16NZVlcdNFFjBs3jgceeIDo6OjGHmKzcPnll3PNNdewadOmqn7bbdu25eGHH2bcuHE1bpD88MMPyc3NpV27djzzzDO0adOmEUYtwarQdtdqO7AJD4KgDWe6lNiQbxtkVJj8c7hFsvpdiYg0bM22iIjU39cVJmucJi0MGzNIwnYl15nAnWra/HOE1ai15CIigeZNzbbmHUREmpBcF2yyDCKDMGiDe+GbRMPmZ9sgo8JBuapJRKSZU9gWEWlCsp0mpbZBMN8u6zAgHps9lsHiChOXAreINGMK2yIiTcQhF+xyGcQEyU2R5xNuQIxhs9nlLnkREWmu9BdQRKQJsG1Y4zQptw0iG3swXooyIAybbyyD3VrWXUSaKYVtEZEm4IgNe5rIrPbZYgEnsLDCJM/V2KMREWl4CtsiIk3Ad01sVruSYUAiUGAbzNcNkyLSDClsi4gEuVwX7HYZRDexWe1KhgEJhs0Bl8FK1W+LSDOjv3oiIkFug2VShkFUYw+kHsIMiDJsNlgGO1S/LSLNiMK2iEgQO23DVssgkqY5q322GAMs3Ivy5KucRESaiQZfrr3QhtIg/CMbZUBcE38jk4Y3cuRIAObMmeP1ORMnTmTDhg2sXr06MIOSkPKD06TENmhhBOEfzjpIAE7aBosqTO4Od+HQ310RCXENGrYLbfigzEFxQz6ol2KA8ZFWvQL34cOH+fWvf33eYzp37syHH35Y9wcJEQMGDKBPnz688847jT0Uv5s2bRrTp0/nrbfeol+/fo09HGnCKmzY5DIIC9LVIuvCrFzwxmXyndPm2vDQ+BAhIlKbBg3bpTYUAw4gvCEf+AIqcI+r1PbP7Hbbtm259dZbPe5LTk6u/wNI0HjzzTd9Pue//uu/KC0tDcBoJNTsdBnk2wYJhFYgjTCgzLb51jK51GHRRgWNIhLCGryMBNxBOzyYZmlsdx2hv7Rt25aHHnrIj1eUYNW2bVufz0lNTQ3ASCTUuGxY7zQBOyRLLeJwl5MsrHAwNsIiMgSfo4gINFLYll9UllNMmTKFt956i2+++Ybi4mI6derE7373O49lCEVFRcyaNYulS5dy+PBhwsPD6dmzJw888AC9e/eudmxlfXBWVhYzZsxg0aJFHDlyhAceeKDqA8GyZct4//332bt3LzExMaSlpfHYY48xfvx44Jd65GeffZZ58+bx3nvv0b179xrjeuONN/joo4948cUX+dWvfuXx+a5bt45HH30UgA0bNjBgwICqfc888wx33HEHGRkZPP/88zzzzDMkJSXxwQcfsGvXLhISEpgzZw4VFRV8+eWXfPPNN+zdu5eTJ08SFxfHlVdeyW9+8xu6du1a7THPvt5FF13EtGnT2LlzJxEREQwaNIgnnniCxMTEGuP88MMP2b17N6dOnSIxMZFLL72U2267jbvuuqvquHNrtitfb6DqeYI7YJ97zLk1206nk88++4zMzEwOHDhAWFgYXbt2Zdy4cVx//fX1fk7StPzkMvjZNogNsVntSu7+2zY/uwy+dZrcEK4Vb0QkNClsB4HCwkIefvhhYmNjufXWWzlx4gRff/01Tz75JDNmzKBjx45Vx546dYqJEyeyZ88eevfuzbXXXktRURFZWVk8+uijTJkyhSFDhtR4jP/4j/9g165dDBgwgCFDhnDJJZcAkJ6ezgsvvEB8fDzDhg0jNjaW7OxsHn/8cSzLwuFwVF1j5MiRzJs3j7lz59YI206nk/nz55OcnMygQYNqfa4XX3wxv/3tb5k+fTqpqakMHz68al+XLl2qHbt06VJycnIYNGgQv/71rykudlf7FxQU8Nprr3HVVVcxcOBA4uPjOXz4MCtXrmT16tW88847Hj8MrFq1im+++abqehs3bmTevHkcPHiQv//971XHffPNN/zbv/0b8fHxpKWlkZKSwsmTJ9m1axcLFy6sFrbPVfl8NmzYwO23387FF18MQHx8fK3nANi2zTPPPMPy5ctp164dd999NyUlJXz99df84Q9/4Pe//z333HNPnZ+TND3fWwZOGyJCuMTCYUAUNustg44Og3ZmaH6wEJHmTWE7AA4ePMi0adM87uvZsyfXXXddtW27du3i7rvv5g9/+AOm6X5n7d+/P1OmTOHzzz9n8uTJVce+/PLL7Nmzp2oWuNIjjzzCb37zG1588UUGDBhAZGT1deaOHz/OzJkzq812nj59mldffZWYmBhmzJhRFcAnTpzI73//e7Zv316t5OHKK6+kY8eOLF68mCeffJLo6OiqfatWreLEiRP8y7/8C2Fhtf9n1aZNGx566CGmT5/OxRdffN5ym+zsbP73f/+Xa665ptr2+Ph45syZQ+vWratt37NnDw8++CDvvPMOb7zxRo3rrVy5krfffpurrroKAMuymDRpEuvXr2fz5s307NkTcH8AsW2bt956i86dO1e7xqlTp2odL8Add9zBkSNH2LBhA8OHD/f6BskFCxawfPly+vTpw+uvv054uPuuhn/913/l/vvv54033iAtLY02bdrU6TlJ03LSBXvPLGIT6qJxl5MsrTAZG2ERoXISEQkxITxn0ngOHjzI9OnTPf7PU7u36OhoHn300aqgDXD77bfjcDjYunVr1bb8/Hy+/vpr+vfvXy1og/vGy3HjxnHy5EnWrl1b4zEefPDBGmUFWVlZFBcXM2LEiKqgDRAWFsaECRM8Pre77rqL4uJilixZUm37V199hWEYjBgx4jyvjG8GDx5cI2gDRERE1AjaAB06dKBv375s3LgRp9NZY/+tt95aFUoBHA4Ht99+O0C117nSuR9YgICVZmRmZgLw2GOPVQVtgNatW3PvvffidDpZsGBBjfN8fU7SNGyxTErtpr2IjbcqV5c84jJYo9UlRSQEaWY7AAYMGMBrr73m9fGXXnopMTEx1baFhYXRsmVLCgsLq7Zt3boVy7IoLy/3OHN+4MABAH766acapRw9evSocfyuXbsA94z1ubp3716thKTSsGHDeOutt/jqq6+48847ATh27Bg5OTn06dOHSy+99EJP12uexlxp586dzJw5k++//568vLwa4To/P5+UlJRq286t5QaqQvvZr/PQoUNZvnw5Dz74IDfffDP9+vWjd+/etGzZsj5P57x27txJZGSkx+fct29f4Jef19m8fU7SdDht2Hym3V9TX8TGW2EGRGDznWXQ1QGtlLlFJIQobAeB2NhYj9sdDgeW9UuflIKCAgA2bdrEpk2bar1eSUlJjW2egmJRUREALVq0qLHPNE2P2+Pj4xk6dCjz5s1j7969XH755WRkZGBZ1nlrmeuitnC7adMmHnvsMQCuueYabrzxxqoPK1lZWezatYvy8vIa53l6nSs/UJz9Ot98882EhYXx6aefMmfOHL744gsMw6Bv37488cQTNWrL/aGoqMjjbD388jp4Cs/ePidpOva4DE7ZBnEhemNkbWI5U07idDA63AqZvuIiIgrbTUhlsBo7diyPP/64T+caHqbIKq+Xn59fY5/L5SI/P59WrVrV2Ddq1KiqGyWfeOIJMjMzSUhIqLUDib/NmDGD8vJypk6dWq2EAmDLli0eZ4B9dcMNN3DDDTdQVFTEpk2bWL58Oenp6TzxxBPMnj37gjc8+io2NpYTJ0543Fe5vbYPZRJatlgGLhvCmtnsrmFAHDb7XAY/WAZXhTWvDxsiErqa2Z/zpq179+4YhsEPP/zgl+tV3vznaZa8smTFk169etGxY0cWLFhAdnY2hw4d4rbbbvNY41wb0zRxuerW6uvQoUMkJCTUCNqlpaXs2LGjTtesTWxsLNdddx1PP/00w4cP5+TJk2zZsuW851TOLPvy/Lp06UJZWZnHa1e2EgzEjLoEl3wb9jWTGyM9iTDAwGaV06Sweb4EIhKCFLabkOTkZIYOHcoPP/zAzJkzse2a70abN2/2enXCwYMHExMTw1dffcXhw4ertjudTqZOnXrec0eOHEl+fj7/8z//A+DzjZEJCQkcO3bMp3Mqpaamcvr0afbs2VO1zbIsXn/9dU6ePFmna55t7dq1lJWV1dheOcN8oQ8VCQkJAD49v8qbGt95551q9efHjh3j448/xuFw1LoqqYSOnZbRbG6MrE08UGC7e2+LiIQClZEEwPla/wH1Wl3y3//939m/fz9vvvkm8+fPp1evXsTGxnLs2DG2b9/OgQMHyMzMJCrqwm/X8fHxPP7447z44ovcf//93HTTTVV9tsPDw2nVqlW1Dilnq7xRMjc3lx49etCpUyefnke/fv34+uuvefrpp+nSpQsOh4OBAwd6dZ3Ro0eTk5PDhAkTGDp0KBEREaxfv57c3Fz69u3L+vXrfRrLuV5//XWOHj1Knz59uPjiizEMg++//56tW7fSq1cvjzeUnvvcDMPgb3/7Gz/99BNxcXHExsZy991313rOsGHDWL58OVlZWYwbN45BgwZV9dk+deoUjz/+eLWOMRJ6bBu2WiZmM7ox0hPzTO/tzZZBTwdayl1EmrxGCdsVQDDd+1Ph5+tVtv6rTX3CdmJiIn//+9/5/PPPWbJkCQsXLsTlcpGcnEznzp35zW9+41N7upEjR5KQkMCMGTPIzMwkNjaWtLQ0Hn30UUaNGlVrwIuLi2Pw4MEsWrSoTjdGPvXUU4B7pcYVK1bgcrlo2bKlV2F70KBBTJkyhffff58FCxYQFRVFv379eOmll877untr/PjxLF++nB07dpCTk0NYWBht2rThscce4+677/bYpeVsl19+Oc888wyzZs3ik08+oby8nNTU1POGbcMwmDJlCp9++inz5s3js88+q1pB8t5772Xw4MH1fl4S3A7bcNyGmAsfGvIqe2+vOnOzZHP+8CEiTZ9he6pF8MAfX88X2vBBmYPiel/J/2KA8ZEWcfqjDrjbCI4ePZqhQ4fywgsveDzm3nvv5ejRo2RkZNRoXSgivllaYZJjmSTRvGe2K5XbUILByHCLLo4gmp0RETlLUlLSBY9p0JntOMMdaEuD8O9mlEGzDNoFBQVERUURERFRta20tLSqT7inpd8Bvv32W/bu3cuvf/1rBW2Reiq3YZtlEK6gXSXCgCIXrHaadDQtHHpdRKSJavAykrhmGmqD1YYNG3jhhRe49tprueiiizh16hTfffcdR44coX///tx0003Vjv/iiy84duwYc+fOJTIykvvuu6+RRi4SOva6DAoxiA+m+rogEGfYHLENtrsMemh2W0SaKN0g2cxdfvnlXHPNNWzatKmq33bbtm15+OGHGTduXI0bJD/88ENyc3Np164dzzzzDG3atGmEUYuElh1nems7dDNgNeEGYNtkO006mxYRmqgRkSaoQWu2RUSkuiIbppU5sIEYhckaLBsKMBgaZnG1FroRkSDjTc225lFERBrRbsuglObdW/t8HAY4sFlrmZQoa4tIE6SwLSLSiLa7TLDd/aXFszjglMtgk1Mvkog0PQrbIiKN5JQNh10Q1UyXZ/eWaUCYYbNOs9si0gQpbIuINJIftTy71+KAU7bBZkuz2yLStChsi4g0kh0uLc/urbNnt8s0uy0iTYjCtohIIzjpgiMumvWsdnk5nDoFJ05AQQFUlJ//+Fgg3zbYotltEWlC1GdbRKQR7HEZlNkGSc2sXttZAcfzIO8ElJfV3B8eDklJkJIMked8EnEYYNru2e1eDsvdh1tEJMgpbIuINILmVkLicsGxY/DzUbBtqG2xzIoKOJbrPjY5BS5pAw7HL/tjgbwzq0r20qqSItIEqIxERKSBnXTBz82ohKSkGLZvhyNHwHZRa9CucmZ/Xh5s3QaFhb/sCjPAwGad08RS1haRJkBhu5FMmzaNAQMGsG7duoBcf926dQwYMIBp06YF5PoiUnd7XQbltkFkYw+kARw/Dtt3QtkF6rE9st1lJ7t2uYN3pVjgqG3wo6uZfC0gIk2aykgkIFavXs3777/Pjh07AOjatSv3338/AwYM8PoaEydOZMOGDdW2ORwOkpOT6d27N+PHj6dTp07V9k+bNo3p06fXes3bb7+dP//5zwBkZGTw/PPPA3DTTTdV/fO5Pv30U1599VUARo0axeTJk6v2Pfvss8ybN493332Xnj17ev3cAqG8vJwPP/yQBQsWcPToUeLj4xk4cCCPPPIIycnJPl1r4cKFfP755+zevRvbtrn88su5++67ueOOOy547unTpxk7diy5ubkMGDCA1157rY7PKHTtdJkQ4iUktg2HDkFurn+ut3+/+/+TkyHccM+Qr7dMOptWSL+OItL0KWyHqB49evDJJ5/QokWLBn/sBQsW8N///d+0aNGC22+/HcMw+Prrr3nyySf57//+b2677Tafrjd27Fiio6MBKCkpYefOnSxevJgVK1YwdepUrrjiihrn3HDDDXTo0KHG9i5dutTY5nA4yMrKoqCggISEhBr7MzMzcTgcWJbl07gbksvl4o9//COrV6+mR48e/OpXv+LQoUNkZmaydu1apk+f7nXg/t///V8+/vhjkpOTufXWWwkLC+Pbb7/l+eefZ8+ePTz++OPnPf+VV16h8Ozv/aWafDv0u5DYNuzbB/n5/r3u/v0QFgaJiRBj2Bx0wWEbLlHYFpEgprAdoqKiomjfvn2DP25BQQEvv/wyLVq04P333+eiiy4C4P777+f+++/n5ZdfZuDAgR5DbW3GjRtXIyjOnDmTN998k9mzZ1fNVJ/txhtv5Oabb/bq+tdddx2rVq1i4cKFjB49utq+7du3s3PnTtLS0li5cqXXY25o8+bNY/Xq1dx88808++yzGGem+ipn79966y2Pr9O5tm3bxscff0zbtm2ZPn06iYmJgPtDzqOPPsqsWbO44YYb6NWrl8fzV65cyfz583nqqad45ZVX/PcEQ8g+y6AMg8QLFi43TbYNe/ZCwanAXH/vPujSGaKjocg2+N5pckmEKzAPJiLiB6rZDoCNGzcyefJkhg0bRlpaGiNGjGDy5Mls3LjR4/FLlixh/PjxDBkyhOHDh/Pyyy9TWlpa7ZiKigpmz57NE088wYgRI0hLS2PYsGFMnjy5qlTjbLXVbI8cOZKRI0dSUlLCa6+9xp133klaWhrjxo1j6dKl9X7uS5cu5fTp04wePboqaAOkpKRwzz33cPr0ab88TmU5ysmTJ+t9rSuvvJLLLruM9PT0GvsyMjIICwvzeTa+oc2dOxeA3/3ud1VBG+COO+6gffv2LFmyhKKiogteZ8WKFQCMGTOmKmgDREdH88ADDwDw5Zdfejz31KlTvPjii9xyyy0MGjSork8l5O12GWC7F2kJOTb89FPggja4w/yPP4LldC9zv9NlUBCan1tEJEQobPvZ559/zsSJE8nJyeGaa65h7Nix9O/fn927d7Ns2bIax3/xxRe88MILtG/fnlGjRhEfH89nn33GlClTqh1XUFDAa6+9Rnl5OQMHDmTMmDH07duX7OxsHn74YbZu3er1GC3L4vHHHyc7O5shQ4Zw2223cejQIf70pz+Rk5NTr+e/fv16AK699toa+yoDcuUx9VE5zq5du9b7WgDDhw9n586d7Nq1q2pbeXk5ixYt4vrrr2+UchxvlZWVsWXLFi677DIuvvjiGvuvvfZaysvL2bx58wWvdeLECQDatGlTY1/ltb/77juP57788su4XC7+8Ic/+DL8ZqXIhoMug8gQ7a194CD44fPv+dngtGDfTxBtQ4ltsMWptzIRCV4qI/Gj3bt38+qrr5KSksLUqVOrBRbbtjl+/HiNc9asWcOMGTO47LLLACgtLWX8+PEsXryYSZMm0apVKwDi4+OZM2cOrVu3rnb+nj17ePDBB3nnnXd44403vBpnbm4u3bp14+233yY8PByAW265hUmTJvHxxx97DMreOnDgAACXXnppjX2V2w4ePOjTNT/66KOqmu3S0lJ2797N2rVr6d+/P+PGjfN4ztKlS9m3b1+N7ePHjycysmYPiOHDhzN16lTS09N56qmnAFi+fDkFBQXceeedPo33fDIyMjhy5IjXxw8ZMsRjnfnZDh06hMvlom3bth73V77uBw4cuODPNikpCYDDhw/X2Fc57mPHjlFaWkpU1C9Vx8uXL2fRokU8//zzJCYmejWL3hztcxmUhmgJyc8/uzuPNAgbTp+G3OMQ1cpmk8vgatvdFlBEJNgobPvRl19+iWVZTJgwocbMoGEYVcH5bPfcc09V0AZ3rfXNN9/M9OnT2b59e9U5ERERNYI2QIcOHejbty85OTk4nU7Cwrz7kT755JNVQRvg6quvJjU11acZck8qb4yLjY2tsS86OhqHw+HzzXOzZs2qsa1NmzYMHz6c+Ph4j+csW7bM4zcJY8aM8Ri2k5OTGTBgAAsXLmTSpEmEh4eTnp5OSkoK1113Xa0lQL7KzMys0WHlfC6++OILhu3K1zMuLs7j/sqfhTcB+LrrruP999/n008/5dZbb616fUtLS3n//ferPWZl2M7Pz+ell15iyJAh3HTTTRd+Us3YXutMCUmITcSePOnuod3QDh2GzvGQH2Wwx2XQRYvciEgQUtj2o8qges0113h9jqcyiMpQfW4o3blzJzNnzuT7778nLy8Pp9NZbX9+fj4pKSkXfMz4+HiPZQKtW7f2qtSgoWVmZlbdIFlaWsrevXt56623+Mtf/kJeXh733XdfjXOee+45r2+QrHTnnXfyzTffkJWVRY8ePVi3bh3jxo3DcfbydfX0zjvv+O1agdC7d2+GDRvG/Pnzuffee0lLS8PhcJCdnY1lWcTFxVFYWIh5Vlr8f//v/2FZFn/84x8bceTBr9x299eOCLESktOn3SUdjeXAPrioK/xgKWyLSHBS2Paj06dPYxiGV4G3kqcZ4Mpwd3aruU2bNvHYY48B7jB/4403EhMTA0BWVha7du2ivNy7VSM8PWbl47pc9burv3J2taioqNoNduDuaFEZ2OoqKiqKbt268eKLLzJixAjee+897r777qoyk/oYNGgQSUlJpKens3fvXlwul1d9pRtb5etZ2zcGlTPatf3cz/Wf//mfXHHFFaSnp5OZmUlkZCTXXnstjz32GGPHjsXhcFR1k8nKyuLrr7/mP//zP33u5d3cHHAZFGMQF0IlJCXF8OMeLrwiZKDYUFoKxXk2P6UYnHBByxD71kBEmj6FbT+Kj4+vqs32VPJRHzNmzKC8vJypU6dy1VVXVdu3ZcuWajf2NaZLL72Ubdu2ceDAgRphu7Keu7baYl/ExcXRrl07tm/fzoEDBy5YauGNsLAwbr31VmbPns2uXbvo1atXtRIffwhEzfYll1yCaZq11sKfr47eE9M0ueeee7jnnnuqbT98+DDFxcV07dq1qlypshPOc889x3PPPVfjWqtXr2bAgAF07tyZDz/80KvHD1U/uQxcNoSFSBisKIfdP7q7gzS23EMQkWiwzWFyvak2gCISXBS2/ah79+5s27aNNWvW+H1G9NChQyQkJNQI2qWlpR5b/zWWPn36sGjRInJycmqsqLh69WoA+vbt65fHKigoAKj3bPzZRowYwSeffEJeXh4TJkzw23UrBaJmOzIyku7du7N582aOHDlSoyNJTk4OERER9V7hcuHChQDVynO6du3q8QbSkpISlixZQuvWrbn22mtJTU2t12M3dS4bdrkMwkKkhMRluYO206LxZrXPceqEzeaLDK4N042SIhJcFLb9aNSoUcyZM4epU6fSr1+/aqHHtm3y8vJ8KjE5W2pqKvv372fPnj1VKyNalsXrr7/ul17T/jJ06FDeeustPvvsM+64446qXtvHjx/n008/JT4+nhtvvLHej5OVlcXhw4dJSEigY8eO9b5epQ4dOvDKK69QUVFRr64stQlUzfbIkSPZvHkzb7/9do1Fbfbt28ftt99eo4ykslvLuYsfFRUV1Th248aNfPDBB6SmpjJq1Kiq7YMHD2bw4ME1xnP48GGWLFlChw4d+NOf/uSHZ9i0HbXhtB0aq0batrtGu7SMoAna2FB0HI7Ew75wg06q3RaRIKKw7UedOnXiySef5JVXXmHs2LEMHjyY1NRUTpw4wYYNG7j++uv5/e9/X6drjx49mpycHCZMmMDQoUOJiIhg/fr15Obm0rdvX7/0rvaHhIQE/vCHP/CXv/yF+++/n5tuugnTNFmyZAknTpzgv/7rv3xaPRJqtv7bt28f2dnZGIZRo6uKPwwcONCv12sIw4YNY8mSJSxevJjDhw/Tt29fDh8+zLJly7jooot49NFHa5wzZswY4JdvHCo9/fTTlJWV0alTJ2JjY/nxxx/Jzs4mISGBv/71r17Xfssv9rlMKmyDuBCY2T58GE4FcNGaurIr4FShwffRBp2im/7rLCKhQ2Hbz0aPHk2HDh2YNWsW2dnZlJSUkJSURI8ePRg6dGidrzto0CCmTJnC+++/z4IFC4iKiqJfv3689NJLTJ8+3Y/PoP6GDRtGixYt+OCDD5g3bx7gLjf485//XLWwjS/Obv3ncDhITEwkLS2Ne++9l969e/tr2E2aw+Hgr3/9Kx9++CHz58/nk08+IT4+nuHDhzNhwgSfbl4cPHgw8+bNY+HChZSVlXHRRRcxevRoxo8fr5sg62i3ZWAaNkYTL284cQKOHWvsUdSuosDm+3CDm6MgoYm/1iISOgzb9u72lmAqVRARaSryXfBeuQMHENWEA2BREezaFRw3RNbKgKhUgxGJFje2COaBikioqFwM7nxC5L54EZHg9JPLoAyDmkspNR3lZe4Wf0EfX21wOW2WHnF3fhERCQYK2yIiAbTXZWDYNNkSEpcFu/eAFUSdR87HWQAFYQYbg7jcRUSaF4VtEZEAKbPdM9tNddVI24Y9+6AsmDqPXICrDIxw+HJLE/10IyIhR2FbRCRADrgMSjGabMu/gwfhdAFNJmhXcpXC8RYmew82sYGLSEhS2BYRCZD9Z1aNdDTBSdZjx+D48cYeRd04CyGiBXyQ1dgjERFR2BYRCQiXDbub6KqReXlw6FBjj6LubCdgwm5Mjhxpeq+/iIQWhW0RkQDItaGgCa4aeeIk7N/f2KOoP6sIEq40+eAfCtsi0rgUtkVEAmC/y8BpG/h3fdPAOnESftrX2KPwD2cRhMXC6qMmx48rcItI41HYFhEJgL0uA5rQqpHHj4dO0AbABWDQop/JJ7MVtkWk8Shsi4j4WYkNh11NZyGbI0fgwIHGHoX/OQttYjsbZK6CwkIFbhFpHArbIiJ+VtnyL9jDtm2767N//rmxRxIYVjE4oiG6m8mcrxp7NCLSXClsi4j42X6XgR3kLf8sJ+ze7e48ErJssF3Q4mqTT2fbVFRodltEGp7CtoiIH7ls2BPkLf9KimH7DigsauyRBJ5VBDHtDUqiYcnSxh6NiDRHCtuNZNq0aQwYMIB169YF5Prr1q1jwIABTJs2LSDXFxHPjttwOkhb/rlccPgwbN8J5RU0uZUh68IqBkeUQeJVJh/NsrHtZvCkRSSohDX2ACT0zJ49mx07drB9+3b27duHZVm89dZb9OvXz6frTJw4kQ0bNlTb5nA4SE5Opnfv3owfP55OnTpV2z9t2jSmT59e6zVvv/12/vznPwOQkZHB888/D8BNN91U9c/n+vTTT3n11VcBGDVqFJMnT67a9+yzzzJv3jzeffddevbs6dPz86eDBw8yf/58duzYwY4dO8jNzSU1NZU5c+bU6Xr79+9n6tSprFu3jpKSEtq2bcvIkSO5++67Mc3qn9FHjhzJzxco+v3b3/5G79696zSWpuaAy6DCNogNspntglNw4CCUlzf2SBqebdm06G+yY4GL79bB1f0be0Qi0pwobIeoHj168Mknn9CiRYsGf+xXXnkFgJSUFFq0aEFePYtCx44dS3R0NAAlJSXs3LmTxYsXs2LFCqZOncoVV1xR45wbbriBDh061NjepUuXGtscDgdZWVkUFBSQkJBQY39mZiYOhwPLsur1PAJp48aNTJ8+HYfDQfv27ev1mu/du5eHHnqI0tJShg4dSqtWrcjOzubll19m9+7dPP3009WOHzNmDKdPn65xnVOnTvH555+TkJBAt27d6jyepuYnl7tQOxha/tk2nDoFR49CcTEQBGNqDFYhxLQ1iGlr8PGnNlf3b6YvhIg0CoXtEBUVFUX79u0b5bFffvllrrjiCpKTk3nppZf48ssv63W9cePGkZycXG3bzJkzefPNN5k9e3bVTPXZbrzxRm6++Wavrn/dddexatUqFi5cyOjRo6vt2759Ozt37iQtLY2VK1fW/UkEWJ8+fXj33Xfp1KkTUVFRDB48uM7X+utf/0phYSGvvPIKAwcOBOCRRx7hySefZO7cudxyyy3VvqUYM2aMx+t89NFHANx6661ERgZ7Xw7/KLfhoMsgopFntcvL4cQJd+/sigp+CdnBNdneYKwSCEs0iO9lsGa+zb6fbNpfpsAtIg1DNdsBsHHjRiZPnsywYcNIS0tjxIgRTJ48mY0bN3o8fsmSJYwfP54hQ4YwfPhwXn75ZUpLS6sdU1FRwezZs3niiScYMWIEaWlpDBs2jMmTJ7Njx44a16ytZnvkyJGMHDmSkpISXnvtNe68807S0tIYN24cS5f65+6h66+/vkY49rcBAwYAcPLkyXpf68orr+Syyy4jPT29xr6MjAzCwsK47bbb6v04gXTJJZfQs2dPoqLqVym8f/9+NmzYQL9+/aqCNkBYWBiPPPIIAHPnzvXqWpWv54gRI+o1pqbkkMugpBFa/llO9wz2oUOwdRts2QJHfj4TtKHZhuyz2ZZNi74mDgd89rleEBFpOArbfvb5558zceJEcnJyuOaaaxg7diz9+/dn9+7dLFu2rMbxX3zxBS+88ALt27dn1KhRxMfH89lnnzFlypRqxxUUFPDaa69RXl7OwIEDGTNmDH379iU7O5uHH36YrVu3ej1Gy7J4/PHHyc7OZsiQIdx2220cOnSIP/3pT+Tk5NT7NWgIlePs2rWrX643fPhwdu7cya5du6q2lZeXs2jRIq6//vpGKcdpDOvXrwfg2muvrbGvR48exMfH16ij92TTpk3s27ePbt260blzZ7+PM1gdcBm4gLAATppWVEBRIRzLhZ9+gq1bYdMPsGePe1tZ5ed05clqrEKIvtQgvDVkzof8fL1AItIwVEbiR7t37+bVV18lJSWFqVOn0qZNm6p9tm1z/PjxGuesWbOGGTNmcNlllwFQWlrK+PHjWbx4MZMmTaJVq1YAxMfHM2fOHFq3bl3t/D179vDggw/yzjvv8MYbb3g1ztzcXLp168bbb79NeHg4ALfccguTJk3i448/9hi0GtNHH31UVbNdWlrK7t27Wbt2Lf3792fcuHEez1m6dCn79u2rsX38+PEeSxqGDx/O1KlTSU9P56mnngJg+fLlFBQUcOedd/rtuWRkZHDkyBGvjx8yZIjHOvNAOXBmGcG2bdvW2GcYBm3btmXbtm2Ulpaedxa9Oc5qg3uJdocfU65tQ0kJnD4NBafdddeus28dMKgeqpUfa2WVQGSiQUJPk9wlLtIz4V88//kQEfErhW0/+vLLL7EsiwkTJlQL2uAOKpXB+Wz33HNPVdAGd631zTffzPTp09m+fXvVORERETWCNkCHDh3o27cvOTk5OJ1OwsK8+5E++eSTVUEb4OqrryY1NdWnGfKGMmvWrBrb2rRpw/Dhw4mPj/d4zrJlyzx+kzBmzBiPYTs5OZkBAwawcOFCJk2aRHh4OOnp6aSkpHDdddfVWgLkq8zMTK9mhitdfPHFDRq2CwsLAYiLi/O4PzY2tuq42sJ2cXExX3/9NVFRUdxyyy2BGWgQKrAhz6beJSQVFZCfD/mn3DPY5+1Up3DtG5e7lOTYYhezP7O59x4IC+TXECIiKGz7VWVQveaaa7w+x1MZRGWorgw+lXbu3MnMmTP5/vvvycvLw+l0Vtufn59PSkrKBR8zPj6+xoeBysfdvHmz12NvKJmZmVU14KWlpezdu5e33nqLv/zlL+Tl5XHffffVOOe5557z+gbJSnfeeSfffPMNWVlZ9OjRg3Xr1jFu3DgcDodfngfAO++847drBaslS5ZQXFzM7bffXhXOm4MDLoNyDBLrkIBtGwoK4Hieu0WfBIbzzAI3ESlw8jisyIKhNzb2qEQk1Cls+9Hp06cxDMOrwFvJUxipDHdnt5rbtGkTjz32GOAO8zfeeCMxMTEAZGVlsWvXLsq9bKBbWwByOBy4XC6vx94YoqKi6NatGy+++CIjRozgvffe4+67764qM6mPQYMGkZSURHp6Onv37sXlcnHHHXf4YdRNR+WM9rkf9CoVFbmXHDxfiP7qq6+A5ldCst9yL9Fu+nAnjMvlXi796DGoKKfZtuZrKFYxRLaGhB4mJ7JcfPq5zdAb9aKLSGApbPtRfHx8VW22p5KP+pgxYwbl5eVMnTqVq666qtq+LVu2VLuxrzmIi4ujXbt2bN++nQMHDvil1CIsLIxbb72V2bNns2vXLnr16lWtxMcfgr1m+9JLLwXci+Scy7ZtDh48SKtWrWr9cLN37142b97MZZdd1mwWsQGwbNhnG4T70PIvP9+9yIyz4qyNKgsJLBvAILG3yfEVLrZuhZ27bLp0VuAWkcBR2Paj7t27s23bNtasWeP3GdFDhw6RkJBQI2iXlpZ6bP3XHBQUFAD4dTZ+xIgRfPLJJ+Tl5TFhwgS/XbdSsNds9+3bF3B3exk/fny1fVu2bOH06dNcd911tZ7fXGe1c20o8rJe2+mEAwfcYVsanlVkE9/FICwB7CL4/Aub/+8/FLZFJHAUtv1o1KhRzJkzh6lTp9KvXz8uvvjiqn22bZOXl+dTicnZUlNT2b9/P3v27KlaGdGyLF5//XW/9JpuarKysjh8+DAJCQl07NjRb9ft0KEDr7zyChUVFQHpyhJMNduV3VrOXvyoXbt29OnTh3Xr1vHtt99W9dp2Op1MnToVgLvuusvj9ZxOJwsWLCAsLIxhw4YFdOzB5tCZJdrjLjCzXVIMP+49q/+1NDhnMUS2goTuJidWu1i0BCY+YpPUQoFbRAJDYduPOnXqxJNPPskrr7zC2LFjGTx4MKmpqZw4cYINGzZw/fXX8/vf/75O1x49ejQ5OTlMmDCBoUOHEhERwfr168nNzaVv375V/ZGDwQcffFAV5CpvuPzwww/JzMwE3LOevpQYnNv6b9++fWRnZ2MYRo2uKv5w9mIuTUV+fj6vv/561b87nU5OnTrFs88+W7Xt3JU2K1d+XL16dbXtf/zjH3nooYeYPHkyQ4cOJSUlhdWrV7N7925GjBhRbfXIs2VlZXHy5El+9atf0bJlS389tSbhgMvA4PxLtJ84Afv3n6lkULlI43EBGCT0MjixGiwLMtQGUEQCSGHbz0aPHk2HDh2YNWsW2dnZlJSUkJSURI8ePRg6dGidrzto0CCmTJnC+++/z4IFC4iKiqJfv3689NJLTJ8+3Y/PoP6ys7NrlEqcHej69u3rU9g+u/Wfw+EgMTGRtLQ07r333mZVF3w+xcXFzJs3r9q2kpKSats8LWvvyeWXX857773H3/72t6r/htu2bctTTz3FP/3TP9V6XnPtre203WH7fEu0//wz+FCqLwFmldgk9DQxoyxcpfDZF2oDKCKBY9j2ebu4VmmOpQoiIhdy0GXwcbmDaGzCz81qtvsmSA/rWUkjMsIgPAl+/F8npza53wKnPGcwOE1hW0R8k5SUdMFjtFy7iEg9HHQZWLbnrwkVtIOT7QTDAfE93G+Bpgmf/0O1PSISGArbIiL18JPLAMOuUa99+LCCdjBzlUGL3iaY7n7n6zfAgYMK3CLifwrbIiJ1VGLDEVfNln/HcuHo0UYZknjJKobwlhB7uftTkmnC3K8UtkXE/xS2RUTq6LDLoAyjWtg+fRoO1VwTSIKMqwzMcIP4K9xh2+WCrzKgtFSBW0T8S2FbRKSODroMXIDjTAlJRTns3duoQxIf2JZNYu9f3gaLi2HRkkYckIiEJIVtEZE6+sll4DjTNNu2Ye8+sPy3oKkEmFUE0W0NIlq5/90w4NPZNl426RIR8YrCtohIHZy2Ic+GiDP/fvQoFBWhBWuaEKsEHFHu1STB/YHpp/3ww+ZGHpiIhBSFbRGROjh0Vr12UZEWrWmSbACDhB6/tJJxOOAfc/SJSUT8R2FbRKQODroMbBuwYd8+QOuhNElWiU38FSZm1Jl/t2DZcjh5UoFbRPxDYVtExEe2DftcBmGGzeHDUF6OykeaKKsYHLEQ1/mXT0suF2TMa8RBiUhIUdgWEfHRSRtO2e6glpvb2KOR+qhaTfKKX94ObRu++IeNZekTlIjUn8K2iIiPDtsG5bbB4Z9Q+UgIsMsh8arqP8jjeZC9upEGJCIhRWG7kUybNo0BAwawbt26gFx/3bp1DBgwgGnTpgXk+iLN2QHLoLAIystQ+UgIcBZDZCuDqEt+CdymCZ99oR+uiNRfWGMPQELL/v37Wbp0KatXr+bgwYPk5+fTsmVL+vXrx/3330/79u29vtbEiRPZsGFDtW0Oh4Pk5GR69+7N+PHj6dSpU7X906ZNY/r06bVe8/bbb+fPf/4zABkZGTz//PMA3HTTTVX/fK5PP/2UV199FYBRo0YxefLkqn3PPvss8+bN491336Vnz55ePzd/O3jwIPPnz2fHjh3s2LGD3NxcUlNTmTNnjs/XWrlyJTk5OezYsYNdu3ZRWlrKb3/7Wx566CGPxy9btoxFixaxa9cuTpw4gW3bpKamcs011zBu3Dhat25dz2cXXFw27CwzOJ2nIBYqXKUQngjxXQ1KD7l/ri4XrFsPhw7bXNJGX1+ISN0pbIeoHj168Mknn9CiRYsGfdy///3vLFmyhI4dO5KWlkZsbCw//vgj8+fPZ+nSpfzv//4vvXv39umaY8eOJTo6GoCSkhJ27tzJ4sWLWbFiBVOnTuWKK66occ4NN9xAhw4damzv0qVLjW0Oh4OsrCwKCgpISEiosT8zMxOHw4FlWT6NuyFt3LiR6dOn43A4aN++PXl5eXW+1qxZs9iwYQOxsbGkpKRw8OD51x5fsWIFu3btonv37iQnJwOwa9cuZs+ezbx585g6darHn0VTlWvD4VPgLGnskYh/GST0MMld+suqRKYJc9NtfjdBYVtE6k5hO0RFRUX5NIvsLwMGDOD++++nc+fO1bYvXryY//zP/+Sll17i448/9uma48aNqwpxlWbOnMmbb77J7Nmzq2aqz3bjjTdy8803e3X96667jlWrVrFw4UJGjx5dbd/27dvZuXMnaWlprFy50qdxN6Q+ffrw7rvv0qlTJ6Kiohg8eHCdrzVhwgRatmzJpZdeypIlS/jP//zP8x7/9NNPExkZWWP7V199xZQpU3j33XeZMmVKnccTbLJ/MijFPRsqocMqtonrYuCIdi92A+7Z7fQMeOg3NuHhCtwiUjeq2Q6AjRs3MnnyZIYNG0ZaWhojRoxg8uTJbNy40ePxS5YsYfz48QwZMoThw4fz8ssvU1pa/Z28oqKC2bNn88QTTzBixAjS0tIYNmwYkydPZseOHTWuWVvN9siRIxk5ciQlJSW89tpr3HnnnaSlpTFu3DiWLl1a7+d+xx131AjaADfffDPt2rVj79695Ofn1/txBgwYAMDJkyfrfa0rr7ySyy67jPT09Br7MjIyCAsL47bbbqv34wTSJZdcQs+ePYmKiqr3tXr37k27du0wDO/ChaegDTB06FCAC86MNyW2bfP1dtBdkaHHKgZHDMR2qv6zPX0aslY10qBEJCQobPvZ559/zsSJE8nJyeGaa65h7Nix9O/fn927d7Ns2bIax3/xxRe88MILtG/fnlGjRhEfH89nn31WYyawoKCA1157jfLycgYOHMiYMWPo27cv2dnZPPzww2zdutXrMVqWxeOPP052djZDhgzhtttu49ChQ/zpT38iJyen3q9BbcLC3F+kOByOel+rcpxdu3at97UAhg8fzs6dO9m1a1fVtvLychYtWsT111/f4OU4oeCbb74BCKkSkuWrwLrIxCpVvXaosa2aLQDBXUoyZ65+3iJSdyoj8aPdu3fz6quvkpKSwtSpU2nTpk3VPtu2OX78eI1z1qxZw4wZM7jssssAKC0tZfz48SxevJhJkybRqlUrAOLj45kzZ06Nm8327NnDgw8+yDvvvMMbb7zh1Thzc3Pp1q0bb7/9NuHh4QDccsstTJo0iY8//phrr722Ts//fLZs2cKePXvo3r078fHxPp370UcfVdVsl5aWsnv3btauXUv//v0ZN26cx3OWLl3Kvn37amwfP368x5nY4cOHM3XqVNLT03nqqacAWL58OQUFBdx5550+jfd8MjIyOOLDut5DhgzxWGcejFasWMHOnTspLS1l79695OTk0KZNGx5++OHGHppfOJ0209Oh5UPgPN3Yo5FAsMsh8UqDQ5/9ss3lgg0b4cBBm0vb6hsNEfGdwrYfffnll1iWxYQJE6oFbQDDMKqC89nuueeeqqAN7lrrm2++menTp7N9+/aqcyIiIjx2dejQoQN9+/YlJycHp9NZNXt8IU8++WRV0Aa4+uqrSU1N9WmG3FuFhYU8++yzmKbJo48+6vP5s2bNqrGtTZs2DB8+vNbgvmzZMo/fJIwZM8Zj2E5OTmbAgAEsXLiQSZMmER4eTnp6OikpKVx33XW1lgD5KjMzs0aHlfO5+OKLm1TYnjfvl2X3unXrxnPPPVfjd6GpypgHxYkGyeEGrnLNdIYiZ8mZFoAXQ+lZn4lNE75Kt3l0osK2iPhOYduPKoPqNddc4/U5nsogKkN1YWFhte07d+5k5syZfP/99+Tl5eF0Oqvtz8/PJyUl5YKPGR8f7zEAtW7dms2bN3s9dm+UlZXxH//xH/z000888sgj9OvXz+drZGZmVt0gWTlr+tZbb/GXv/yFvLw87rvvvhrnPPfcc17fIFnpzjvv5JtvviErK4sePXqwbt06xo0b55eyl0rvvPOO364VbP785z/z5z//mcLCQnbs2MHf/vY3HnjgAV588UX69+/f2MOrl7Iym+nv2SSNM9VXO4S5StwtAOO6mJQe+aUricsF6Znw0G9tIiIUuEXEN6rZ9qPTp09jGIZXgbdSbGxsjW2V4e7sVnObNm3iwQcfZPny5XTu3JnRo0fz29/+lt/+9rdVNySWl5fX+TErH9flcnncVxfl5eVMnjyZ7777jvvvv58HHnig3teMioqiW7duvPjii8TExPDee+9RUuKfHmyDBg0iKSmJ9PR0MjIycLlc3HHHHX65dnMSFxdHv379eO2114iMjOQvf/lLjQ+GTc2Xc+FUEcR1NrFKlLZDmm0Q361moC4shBXB25BIRIKYZrb9KD4+vqo2298LecyYMYPy8nKmTp3KVVddVW3fli1bqt3YFwzKysqYPHkyq1ev5r777mPixIl+vX5cXBzt2rVj+/btHDhwwC+lFmFhYdx6663Mnj2bXbt20atXr2olPv4QyjXb54qNjaVnz56sWLGCAwcOcPnllzf2kOqkuNhmxgc2Me0NwmKhoqCxRySBZJXaxF9hYoRb2BW/bDcN942SNw/VzLaI+EZh24+6d+/Otm3bWLNmjd9nRA8dOkRCQkKNoF1aWuqx9V9jOjtojxs3jsceeywgj1NQ4E49/pyNHzFiBJ988gl5eXlMmDDBb9etFMo1257k5uYC/ulA01i+nAtFRdC6k4ERZmBXaGY7lFnF7lKS2I4Ghdt/+Vm7bPh+E+w/YNPuUgVuEfGewrYfjRo1ijlz5jB16lT69evHxRdfXLXPtm3y8vJ8KjE5W2pqKvv372fPnj1VrdQsy+L111/3S69pfykrK+OPf/wjOTk53HvvvUyaNCkgj5OVlcXhw4dJSEigY8eOfrtuhw4deOWVV6ioqAhIV5Zgqtmu7NZSn8WPysvL2blzp8el6jMyMti6dStt27alXbt2dX6MxlRaavPRxza2DfFdTbAVtEOdXQFGGMR3qR62wX2jZHqGbpQUEd8obPtRp06dePLJJ3nllVcYO3YsgwcPJjU1lRMnTrBhwwauv/56fv/739fp2qNHjyYnJ4cJEyYwdOhQIiIiWL9+Pbm5ufTt25f169f7+dnUzUsvvUROTg7JycnExMTUWFQH3G32fOlQcW7rv3379pGdnY1hGDW6qvjDwIED/Xq9hpCfn8/rr79e9e9Op5NTp07x7LPPVm07d6XNMWPGALB69epq21esWMGKFSsAqkpesrKyqv75qquu4q677gLcH64efPBBOnbsSOfOnWnVqhWFhYVs3bqVHTt2EBMTwzPPPOPnZ9twMue7FzUxI90znZaWaG8WbAsSepoc+ar6t2YuF2TOg4cf1IqSIuI9hW0/Gz16NB06dGDWrFlkZ2dTUlJCUlISPXr0qFpRry4GDRrElClTeP/991mwYAFRUVH069ePl156ienTp/vxGdRPZSDLy8urdVx9+/b1KWyf3frP4XCQmJhIWloa9957L717967XeENFcXFxtbZ7ACUlJdW2eVrW3pOdO3fWuNauXbuq3RdQGbajo6N56KGHWLduHd999x35+fmEhYVx8cUXM2bMGMaMGUNqampdn1ajcjptZs5yz2rHXe5exrsiv7FHJQ3BKobotgbhLWr+zAtOw6pv4IZfNfy4RKRpMmzbu+9Fg6lUQUQk0BYusnluivvPY+pwk0v+yUHZ0UYelDQMEyJbwZ53LE6uqT67bZrQ+yp4/VU18xIRSEpKuuAx+mshInIOl8vdgcQ4UykQ3039tZsVF2BAXJeapSIuF6zfAIcO6T8IEfGOwraIyDmyV8OBg+77IR0xENNe9drNjavMXbeNh9Js04SvMhS2RcQ7CtsiIueYOcvGPPPXMfZMvbbCdvNilUBEEkRf4nl2Oz0DKtQGUkS8oLAtInKW7dttftjsDlQAsR1NDAfYTXsRTPGRqxTMCIjr7LnrSOWNkiIiF6KwLSJylk8+szl7DZ74bga21XjjkcZkEHeF57CtUhIR8ZbCtojIGceO2SxdBtaZcO2IhZh2qtdurqxSm/iuJoaHVv4uF6z9Do4eU+AWkfNT2BYROeOLL6sHp9gOBmY0uBS2myWrBMJiIeay2me35y9o4EGJSJOjsC0igntp9i/n/FKrDRDX0cQwUBlJM2WXgxFmENfJc9h2uWBuuo3LpdltEamdwraICLBoCRSfM4Md31312s2ebRN/Re1vlbm57r7bIiK1UdgWkWbPtm1mf/bLIjYAYfHutm+q127erBKI7ehu/+iJwwHpulFSRM5DYVtEmr0fNsO+n9yL2FSK7eiu17ZKG29c0visEvfCRrEdPJeSWBYsz4KCAgVuEfFMYVtEmr1/fFm93R9AbAd3vTYqI2nWbCcYJsR2rv3t0uWCxUsacFAi0qQobItIs3Yy32bZil/a/VVKUL22nGFb7v8eat1vq+e2iNROYbuRTJs2jQEDBrBu3bqAXH/dunUMGDCAadOmBeT6IqFi/oLqHUgAwhMhqo3qtcXNKoHotgbhibUf8+Me2LVLgVtEagpr7AFIaDly5AgffPABW7du5ejRoxQVFZGcnEyHDh249957ufrqq72+1sSJE9mwofpt/g6Hg+TkZHr37s348ePp1KlTtf3Tpk1j+vTptV7z9ttv589//jMAGRkZPP/88wDcdNNNVf98rk8//ZRXX30VgFGjRjF58uSqfc8++yzz5s3j3XffpWfPnl4/N387ePAg8+fPZ8eOHezYsYPc3FxSU1OZM2dOna63f/9+pk6dyrp16ygpKaFt27aMHDmSu+++G9P0/Bn9xIkTfPDBB6xatYpjx44RFRVFu3btGDZsGHfffXc9nl3guFw2X3xpV6vVhjM3xEVB2fHGGZcEF6sEIlu5S0nyv3N5PMZhQsY8m98/UfsMuIg0TwrbIapHjx588skntGjRokEf98CBAyxZsoSePXvSs2dPYmNjyc3NJSsri2+//ZZHHnmEBx54wKdrjh07luhodyuAkpISdu7cyeLFi1mxYgVTp07liiuuqHHODTfcQIcOHWps79KlS41tDoeDrKwsCgoKSEhIqLE/MzMTh8OBdW6dQRDZuHEj06dPx+Fw0L59e/Ly8up8rb179/LQQw9RWlrK0KFDadWqFdnZ2bz88svs3r2bp59+usY5O3fu5IknnqCgoIDrr7+eG2+8keLiYvbt28eqVauCNmyvWQtHj9bcHtvRBAPwnKukuTnz30FcJ4P87zwfYrlg/kL43SM2kZEK3CLyC4XtEBUVFUX79u0b/HH79OnDwoULa8x+5ubmcv/99/Puu+9y9913Ex8f7/U1x40bR3JycrVtM2fO5M0332T27NlVM9Vnu/HGG7n55pu9uv51113HqlWrWLhwIaNHj662b/v27ezcuZO0tDRWrlzp9ZgbWp8+fXj33Xfp1KkTUVFRDB48uM7X+utf/0phYSGvvPIKAwcOBOCRRx7hySefZO7cudxyyy3069ev6viioiL++Mc/AjBjxgw6d+5c7XpOp7POYwm0L760Mc2aZSTx3Q3s4B22NALbCQk9zh+ii4th1bcw9IYGGpSINAmq2Q6AjRs3MnnyZIYNG0ZaWhojRoxg8uTJbNy40ePxS5YsYfz48QwZMoThw4fz8ssvU1pavd9YRUUFs2fP5oknnmDEiBGkpaUxbNgwJk+ezI4dO2pcs7aa7ZEjRzJy5EhKSkp47bXXuPPOO0lLS2PcuHEsXbq03s89PDzcY5lBq1at6NWrF06nk59//rnejzNgwAAATp48We9rXXnllVx22WWkp6fX2JeRkUFYWBi33XZbvR8nkC655BJ69uxJVFRUva6zf/9+NmzYQL9+/aqCNkBYWBiPPPIIAHPnzq12zhdffMHPP//M7373uxpBu/LcYPTzUZvVOR7qtZMg6iLVa0t1VjFEpBhEtq79GNOEjEzVbYtIdQrbfvb5558zceJEcnJyuOaaaxg7diz9+/dn9+7dLFu2rMbxX3zxBS+88ALt27dn1KhRxMfH89lnnzFlypRqxxUUFPDaa69RXl7OwIEDGTNmDH379iU7O5uHH36YrVu3ej1Gy7J4/PHHyc7OZsiQIdx2220cOnSIP/3pT+Tk5NT7NfDk1KlTbN26laioKNq0aVPv61WOs2vXrvW+FsDw4cPZuXMnu3btqtpWXl7OokWLuP766xu8HKexrF+/HoBrr722xr4ePXoQHx9fo45+yZIlGIbBDTfcwE8//cTs2bP58MMPycrKoqKiokHGXRfpGdUXsakU18nEof7acg6rFBxRENvp/C0A134HubkK3CLyi+Cccmqidu/ezauvvkpKSgpTp06tFipt2+b48Zp3W61Zs4YZM2Zw2WWXAVBaWsr48eNZvHgxkyZNolWrVgDEx8czZ84cWreuPq2yZ88eHnzwQd555x3eeOMNr8aZm5tLt27dePvttwkPDwfglltuYdKkSXz88cceg5avDh8+TGZmJi6Xi+PHj7Ny5UpOnz7N5MmTiY2N9elaH330UVXNdmlpKbt372bt2rX079+fcePGeTxn6dKl7Nu3r8b28ePHExkZWWP78OHDmTp1Kunp6Tz11FMALF++nIKCAu68806fxns+GRkZHDlyxOvjhwwZ4rHOPFAOHDgAQNu2bWvsMwyDtm3bsm3bNkpLS4mKiqKiooIff/yRFi1a8NlnnzFt2jRcZ00VX3LJJbz00ks1bmRtbE6nzdz0mrPa4L45ElC9tlRnA4a7bvvEt7UfZpqwcDHcN7bBRiYiQU5h24++/PJLLMtiwoQJNWZvDcOoCs5nu+eee6qCNrhrrW+++WamT5/O9u3bq86JiIioEbQBOnToQN++fcnJycHpdHr9lf2TTz5ZFbQBrr76alJTU32aIT+fI0eOVOsKEhMTwzPPPMOwYcN8vtasWbNqbGvTpg3Dhw+vtfZ72bJlHr9JGDNmjMewnZyczIABA1i4cCGTJk0iPDyc9PR0UlJSuO6662otAfJVZmZmjZnh87n44osbNGwXFhYCEBcX53F/5QelwsJCoqKiKCgowLIsCgoKmD59Oo8++ijDhg3D6XQyZ84c/u///o9/+7d/49NPP/X4ujeW7NWQn+95n+q1pTauMkjoYYJhucO3p2NckJ5pM+5e9999ERGFbT+qDKrXXHON1+d4KoOoDNWVwafSzp07mTlzJt9//z15eXk1bjzLz88nJSXlgo8ZHx/vsZSjdevWbN682euxn0+/fv1YvXo1TqeTw4cPM3fuXJ599lm2bt3KH/7wB5+ulZmZWXWDZGlpKXv37uWtt97iL3/5C3l5edx33301znnuuee8vkGy0p133sk333xDVlYWPXr0YN26dYwbNw7HuUsL1sM777zjt2sFg8pZbMuyuOeee6p90/Dwww+zf/9+lixZwtKlS+v0QStQ5nzl+cbIiBSIbKV6bfHMKoHwFu4e7KWHai8VOXQItm2H7t0abmwiErxUs+1Hp0+fxjAMrwJvJU8lFZXh7uxWc5s2beLBBx9k+fLldO7cmdGjR/Pb3/6W3/72t1U3pZWXl9f5MSsf1+Xpe/V6CAsLo127dkyaNIlf//rXfPbZZ3z77Xm+g72AqKgounXrxosvvkhMTAzvvfceJSX+SUaDBg0iKSmJ9PR0MjIycLlc3HHHHX65dlNROaN97ge9SkVFRcAv/w2dPQOelpZW4/hBgwYB7q4uweLYMZs1a2spIelg4ohCYVs8cpWCGekuJTkfhwPmL1Ddtoi4aWbbj+Lj46tqsz2VfNTHjBkzKC8vZ+rUqVx11VXV9m3ZsqXajX3B6tprr+WLL75g/fr11Tpd1EVcXBzt2rVj+/btHDhwwC+lFmFhYdx6663Mnj2bXbt20atXr2olPv4Q7DXbl156KeBeJOdctm1z8OBBWrVqVVVDHx0dTatWrcjNzfVYelJZ5lNWVhbAUftm3gIwDGosZAMQ2+FMiFJOktrYBrEdDY6vqP0Qy4JFS+Dxx2zCw1VKItLcKWz7Uffu3dm2bRtr1qzx+4zooUOHSEhIqBG0S0tLPbb+C0a5ubkAfivLKCgoAPDrbPyIESP45JNPyMvLY8KECX67bqVgr9nu27cv4O72Mn78+Gr7tmzZwunTp7nuuuuqbe/fvz/z589n7969NRYY2rt3L+B+HsHAtm3SM2yPs9rg7qPsCt4GKhIEXGU28VeYYFrnvYm2qAhy1sCg6xtubCISnBS2/WjUqFHMmTOHqVOn0q9fv2oBw7Zt8vLyfCoxOVtqair79+9nz549VSsjWpbF66+/7pde0/6yZcsWOnXqVONmuMpl3IEaYa0usrKyOHz4MAkJCXTs2LHe16vUoUMHXnnlFSoqKvzSleVcwVSzXdmt5ezFj9q1a0efPn1Yt24d3377bdU3EE6nk6lTpwJw1113VbvOqFGjmD9/Ph9++CGDBg2qms3Oy8vj008/xTRNbrghOFb52PQDHD3meV9EiruPskslJHIeVgmEJ0L0xQYl56nbNk2Yv9Bm0PWa2RZp7hS2/ahTp048+eSTvPLKK4wdO5bBgweTmprKiRMn2LBhA9dffz2///3v63Tt0aNHk5OTw4QJExg6dCgRERGsX7+e3Nxc+vbtW9UfubG9//77bNy4kT59+pCamorD4eDQoUN8++23VFRUMGbMGHr37u3TNc9t/bdv3z6ys7MxDKNGVxV/qG+JS2PIz8/n9ddfr/p3p9PJqVOnePbZZ6u2nbvS5pgxYwBYvXp1te1//OMfeeihh5g8eTJDhw4lJSWF1atXs3v3bkaMGFFt9UhwLwp077338vHHH3PfffcxaNAgnE4nWVlZnDx5kokTJ9KuXTt/P+U6yZxn43C4v+Y/V2W9dllBw49Lmg5XmXvho9iO5w/bLhd88y0UFtrExSlwizRnCtt+Nnr0aDp06MCsWbPIzs6mpKSEpKQkevTowdChQ+t83UGDBjFlyhTef/99FixYQFRUFP369eOll16q1mKvsY0YMYLIyMiqcpqKigqSkpIYOHAgd911V52C7Nmt/xwOB4mJiaSlpXHvvff6HNxDVXFxMfPmzau2raSkpNo2T8vae3L55Zfz3nvv8be//a3qv+G2bdvy1FNP8U//9E8ez3niiSfo2LEjX3zxBZmZmRiGQZcuXZg8eTK/+tWv6vy8/Km42GbJUs9BG87qr616bbkQ2yC2k8HxrPMf5nTC8iy44/aGGZaIBCfDtj3dJlRTMJUqiIj4KnO+zf+8VPufu+7PhxHZ2qDiRAMOSpqk8BZQcRo2T644b922YcCVveCt19X4SyRUJSUlXfAY/QUQkWYhc57n5dkBIlpBRLLqtcU7VXXbbc9fHmLb8P0mLd8u0twpbItIyDt8xGbTD57b/QHEdTzTX7u0YcclTZOrDMwI44L9tsE9u7346wYYlIgELYVtEQl5ixa7u0PURvXa4jMb4rpcOGzbtrsriYg0XwrbIhLSbNsmY17tvbUB4rub6q8tPrFKbeK7mhhetBnYuxf2/aTALdJcKWyLSEjbshV+/rn2/ZEXQWSylmgX37hKwBEH0ZdeeHbbNGHRYoVtkeZKYVtEQtr8he7e2rWJ7WhiRoJL9driA1c5mGHGLyVI5zvWBQsXu79lEZHmR2FbREJWWZnN4sW199YG3De5GaheW+okrrN3C9YcPQo7dgZ4MCISlBS2RSRkfZMNxRcoD4nvbuIqa5jxSGixSm3iu3hXt+0w4eul+kQn0hwpbItIyJo33z5vF5KoiyGiheq1pW5cJeCI9a5u23LB4iUqJRFpjhS2RSQknTxps2YN5+1CEtvhTL22ZralDlzlYIZ7V7cNcDzPfcOuiDQvCtsiEpKWLL1wGbY7JBmq15Z68bZu2+FQKYlIc6SwLSIhaf6CC4ea+O4mrnKFH6k7X+q2Lcv9IdDl0n9zIs2JwraIhJwDB2127qp9eXY4U6+dpHptqZ/Kftsx7byb3T55En7YHOBBiUhQUdgWkZCzaPH5b4wEiO1kYkaov7bUj6912w4HLFuhmW2R5kRhW0RCim3bzJt//hsjAeK6nKnXFqkv2/u6bcuCpctUSiLSnChsi0hI2bwFjh67wEEmJHQzcZUp8Ej9WaU2cV1MjHDvjj9xArZtD+yYRCR4KGyLSEhZuOj8y7ODu742LEH12uIfVgmExULMZd6XkqzI0gc9keZCYVtEQkZFhc3ir8+/PDu4W/6Z4Yb6a4tf2OVghBnEeVm3bVnw9TItcCPSXChsi0jIyFkDRUUXPi6+q2q1xf9iO3v/lnr0KPy4J4CDEZGgobAtIiFjwcILdyExwiGui4lVollF8R+rxCauk+F13bZpqpREpLlQ2BaRkFBYaLPq2wt3IYm93CAsTvXa4l++1m27XO5SEhEJfQrbIhISslaC03nh42I7GhhhBnZF4MckzYdd4VvdNsD+/bD/gGa3RUKdwraIhISFXixkA+4l2lGPYwkA27Z9qts2TfeHRBEJbQrbItLknThhs37DhUtIHDHuMhKVkEgguErxqW7b5YJly/XBTyTUKWyLSJO3ZKl3x8V2NHBEq15bAsMqPVO33c77UpIdOyE3V4FbJJQpbItIkzd/oY03LYvjOpoYJthe1HaL+Kqy33asD3XbAKu+DdCARCQoKGyLSJO2/4DNrl3eHRvf3cC+wII3IvUV18n7sO2u29bMtkgoU9gWkSZt8RLvbowMS4TotqrXlsCySm3iupg+1W2v3wDFxQrcIqFKYVtEmizbtpm/8MI3RgLEdTRwRKleWwLLVQIOH+u2LQvWrA3goESkUSlsi0iTtW07/Pyzd8fGdjTdf/G8COYideUqBzPcIPZy78O2wwHfZmtmWyRUKWyLSJO1aLGNw+HdsQk9tJCNNBAb4rr4NrPtXv1UgVskFClsi0iT5HTaLFriDioXEpECkRepXlsahlVqE9fZxAjz/pyCAti+I3BjEpHGo7AtIk3SuvXugOKNuE6m6rWlwVTWbUdf6ltXkuzVmtkWCUUK2yLSJC1a4n0JSdVX+soy0gCq6rZ96LftcsHKVQEclIg0GoVtEWlySkttlq/wroQEAxJ6mLjKAz4skWp86bcNsPtHOH5cnwhFQo3Ctog0Oau+gbIy746NbmsQ3kIlJNKwrFKb+C6+1W0DrM4JzHhEpPEobItIk7NgkXcL2QDEdTYwIw1cpYEdk8jZXCXgiPO9bnvVt5rZFgk1Ctsi0qScOmWzZq13C9kAxF9hqFZbGlxV3XYH3+q216yF8nL9BysSShS2RaRJWbbC+6BtRkJcVxOrROFFGkdcZ9/qtsvL4ftNARqMiDQKhW0RaVIWLrIxvMwvsR0MwmLBKg7smEQ8qarb9rJrDrhXk1ydow+HIqFEYVtEmoyjx2x+2Ay2l1kk7swNarYzsOMS8aQudduW5b4BWERCh8K2iDQZXy/F61ltgISehoK2NJq61G0DHDoMhw5rdlskVChsi0iTMX+B7fWsdngSRF+iJdql8cX62G/bMNQCUCSUKGyLSJOwZ4/N3n3eHx/X2cQRrf7a0rhcZTbxXU2f3m0NA77N1sy2SKhQ2BaRJmHREhuHD3+x4rqemU30snOJSCBYJRAW715cyVsuF6xb714pVUSaPoVtEQl6LpfNgoVgeRucTUjsqSXapfG5ysAMh7iOvpWSOJ2w4fsADUpEGpTCtogEvR82w/E874+PbmsQnqSWfxIsDJ/rth0OyFmjmW2RUKCwLSJBb9ESG4cPvYrjuxqYEQaussCNScRbdanbtiz4Ri0ARUKCwraIBLWKCpslX7vDh7cSepjYLs0KSnCwSiAswbe6bYAjP6sFoEgoUNgWkaC2Zi0UFXl/vCMGYjsauNSFRIJEZd22r/22AdauDcCARKRBKWyLSFBbuNi3EpK4TgaOGNVrS7AxiOvsW9g2TchZq5ltkaZOYVtEglZxsc3KVb6VkMR1MTEcYPtwjkig1aVu2+WCtd+B06nALdKUKWyLSNBasRIqKnw7J+FKA9vHc0QCrarf9iW+zW6XlsK27QEalIg0CIVtEQlaCxbamD78lYpMhajWhkpIJOi4ysCM9L1u2zTds9si0nQpbItIUMrLs1m/wf1Vurfiu5qYUVqiXYKV7/22XS5YnaMyEpGmTGFbRILS10t9Pye+uwG27x0fRBqCq9QmoZtvddsA23dAUZECt0hTpbAtIkFp/kIb24d8YUZC/BUmVolCiQSnqrrtNr7Pbq/fEKBBiUjAKWyLSNDZv99m127fzonrZBAWp5Z/Eryq6rY7+r50+5rv9CFSpKlS2BaRoLNoiW83RoJ7VtswwXYGZkwi/uF73bZlwerVARqOiAScwraIBBXbtpm/wLcbIwESrjIUtCXouUpt4q/wvW77yM/w88+a3RZpihS2RSSobNkKR4/5dk5UG4Oo1gZOlZBIkLNKIDzB937bAN+tC8CARCTgFLZFJKgsWuLb8uwA8V0NzEhwqeWfBDlXGZgRdeu3vUZLt4s0SQrbIhI0nE6bxUt8W54dIKGnCajlnzQRRt36ba/5DlwuBW6RpkZhW0SCxtp1cPq0b+c4YiCuq4FVrBAiTUNd67YLC/G5S4+IND6FbREJGosW+V5CEtfFICxGLf+k6aiq2/ax37aWbhdpmhS2RSQoFBfbrFjpewlJfDcTDLB9PE+ksdS137Zta+l2kaZIYVtEgkLWKigv9/EkE1r0NnH5ep5Io/O9btu2YfMWKCtT4BZpShS2RSQozJvv+0I2Me0MwpNUQiJNT13rtp1O2PRDYMYkIoGhsC0ijS4312b9Bt8XsonvZmBGGLjKAjMukUCpa922wwFrtXS7SJOisC0ijW7REjDq0Lkv8SoT21LwkKanqm7bx37blgU5awI0KBEJCIVtEWlUtm2TOd/G9jEzR7R0l5GohESaLNsgtrPvnzJ/3AOnTulDpkhTobAtIo1q927Yv9/38+K7mTiiVa8tTZerzCahm+912wDrN/h/PCISGArbItKoFtShtzZAfA/DXXuiCT5poqwSCEuA6La+121/t07/4Ys0FQrbItJonE6b+Qt9761tRkJCdxOrRIFDmi5XGZjhBnE+lpKoblukaVHYFpFGs3YdFBT4fl5cZ4OweLCK/D8mkYYW39X3uu2fj8KRI/qwKdIUKGyLSKNZsLCOJSTdTAwH2E7/j0mkIVmlNnFdTIxw389dt97/4xER/1PYFpFGUVRkk1WH5dkxIFGrRkqIsEogLBZi2/s2u22a6rct0lQobItIo1i6DCoqfD8v+lKDyBR1IZHQYJeDEeb70u0uF6z9zt06U0SCm8K2iDSK9Hl2nRaySehxZtXIUv+PSaRR2GeWbvdRwWnYszcA4xERv1LYFpEGd+Cgzdat+LyQDUCL3ia2S7N5EjqsEvdKko5o384zDFi3LjBjEhH/UdgWkQa3YKGNWYe/PhEpEN3OUBcSCSlWCThifF+6HWCt+m2LBD2FbRFpUC6XTeY8d82prxJ6mDii3OFEJFTYTjAcENvJt7dk24YNG9z96kUkeClsi0iD2rARjufV7dzEK01Aq0ZK6LEtSOju+8x2aRls3xGAAYmI3yhsi0iDypxft97aYfEQ19XAKlLSltBjFbs77YQl+HaeaarftkiwU9gWkQZTXGyzfHkdemvjXsgmLBacavknIcgqAUcUxNWpBaA+gIoEM4VtEWkwS5dBeR16awMk9DIAA+pQ6y0S9FyA4XvdNsDmLVBWpsAtEqwUtkWkwXyVWbfe2mYkJPYysUoVKCR02RWQ0NP3XxCn0x24RSQ4KWyLSIOoT2/t+G7uWla1/JNQZpVAZCuDyNa+nedwwLr1+iAqEqwUtkWkQcxfULfe2uBu+WcY7hZpIqHKKgVHNMR19u0XxbLgO90kKRK0FLZFJOAsq+69tY0waNHHxFXm/3GJBBUbsA3iuvpeSrJjB5SUaHZbJBgpbItIwK3fAHkn6nZubEeD8BbgVAmJNAOuMpuE7qbP786WpbptkWClsC0iAVfX3tpwpoQkzH3zmEios4ohLAFiLvNtdtvhgPUbNLMtEowUtkUkoAoLbZavqFtvbQxo0ddU0JZmw1UOZoRBfBffwrZlQc6aAA1KROpFYVtEAurrZe7WZHURc5m7M4Oz0L9jEglmtssmvrvvb8+7dsPp05rdFgk2CtsiElAZdeytDe6FbMwIQzdHSrPiKnHfq+CI8e0824aN3wdmTCJSdwrbIhIwBw/abNtet97aAEn9TGynZuqkebGKz7QA9HHpdtVtiwQnhW0RCZiFi+veWzu6rUHUxYa6kEizY1tgmBDXxfd+22vWBmhQIlJnCtsiEhAul016Zt16a8NZJSQl/h2XSFNgO92/A776aT+cPKnZbZFgorAtIgGxfgMcP17385P6m9iWQoM0T1YxRLb2fel2gHVaTVIkqChsi0hAZM6re2/tqDYG0ZeohESaL6sUHFG+l5I4HLBuvT6kigQThW0R8bvCQpvlWXXsrQ0k9jIwo1RCIs2YDWAQ360O/bZVty0SVBS2RcTvli2HinosRNOir0pIRKxSm4RuJka4b+cdOwZHjuj3RyRYKGyLiN9lzKt7b+3I1hDdzsBSCYk0c1YxhMVDbHvff5lUty0SPBS2RcSvDh602bK17r21E3qZOKLcQUOkObMrwAg3iPNx6XbThO/WaWZbJFgobIuIX81bUPfe2gAt+pl1Duoioca2bBJ6+vYL5XK5+23b+kUSCQoK2yLiN06nTXpG3XtrR7SC2MtVQiJSySqGmMsMwhJ9O6/gNOzZG5gxiYhvFLZFxG9y1sDJ/Lqfn3ilSkhEzmaVuJduj/exBaBhwLp1ARqUiPhEYVtE/OarDBtHfUpI+p4pIdG33yJuLsDA5xaAhgFrVbctEhQUtkXEL/LybLKzwapjCUlka4jtYGAV+ndcIk2dqxR33bYP79guF2zY4C7tEpHGpbAtIn6xcHH9JqQTrjRxRBtYWshGpBqrGMKTfG8BWFoG23cEaFAi4jWFbRGpN9u2mZtu16uLSFJ/E1y2SkhEzuEqBzPcIK5rXVoABmhQIuI1hW0RqbctW+HQobqfH5nq7rjgVAmJiEe2ZZN4ZV1aAOrTq0hjU9gWkXrLnGfjcNT9/BZXnSkhURcSEY8qWwCGt/DtvC1boaREgVukMSlsi0i9lJTYLF4CllX3ayRdbWJbCgQitalqAXiFb2/blgWbfgjQoETEKwrbIlIvK1a6b8Sqq+i2BtGXqoRE5LxcAAbx3X2r23Y4YO13+iAr0pgUtkWkXuZ+Vb/l2RN7G5iRBi51IRE5L1epTWJPEyPc+3MsC1avCdyYROTCFLZFpM4OHLT5YXPdl2fHgKRrTGz1Aha5IGcxhCVAXCffZrf37YMTJ/Q7JtJYFLZFpM7mza/frHZsB4OoVAPnaf+NSSRU2RVghEF8N99/6dZtCMCARMQrCtsiUieWZZORWY9ZbSDxKhMzAlz1qPkWaU7sCnfplS8cDlirFoAijUZhW0TqZO13cDK/Hhcw3V1IXOX+GpFI6HMWQ9RFBtGXeB+4LQtW57gXnxKRhqewLSJ1Mm9B/Xprx3UxiExBXUhEfOAqATPC964kJ07C/v0BGpSInJfCtoj4rLDQJmtl/Xprt+jt7qpga2ZbxCe2bZPg42qShqGl20Uai8K2iPhsyVJwOut+vhEOSf1N1WqL1IFVBHEdDcITvT/HMCBHddsijUJhW0R8lp5hY/j2LXY18VcYhCehLiQidWAVn1lNsof3b+EuF6xfD0612RRpcArbIuKTfT/Z7NgJ9bnXqkUfE8MBdj1mx0WaLRswDBKv9O0Tb2kZbNkamCGJSO0UtkXEJ/MW1K+3thkFLfqaWFoxUqTOrGKbhO4mjhjvz3E4IGeNZrZFGprCtoh4zem0mTevfr21E3qahCeApS4kInVmFUFYnLsky+tzLPh2dQAHJSIeKWyLiNfWrIX8U/W7RlI/AwwDux6dTESaO9sCTEj0sSvJ7t1wMl+z2yINSWFbRLyWMa9+vbXDEiGhl4lVrDd7kfqySs6swhrp23lrvwvMeETEM4VtEfFKfr7NN9/Wv7d2WCw4i/w3LpHmyiqCsASI7+p9KYnDATk5+rAr0pAUtkXEK4sW169WGyDpGtPdxaSe1xERdzcfw+H+tshblgXZq8HlUuAWaSgK2yJyQbZtMzfdrle7v8hUiO1g6MZIET9ylZ5ppRnu/TkFp2HX7sCNSUSqU9gWkQvasQN+2l+/a7ToY+KINrCK/TMmEXGXZIW3gPgu3peSmCaszgncmESkOoVtEbmgzPn1uzESoOW1JrZWrxPxK7sCjDBI8KEricsF33yr30WRhqKwLSLnVVZms3Bx/W6MjO1gENXGwKkSEhG/c5W5F4rypZRk23YoOK3ALdIQFLZF5LxWfQPF9Sz9aNHXxIxw15eKiH85CyEiybdSEtuGdesCOCgRqaKwLSLnlZ5Zv+XZjXB3FxJXmf/GJCK/qCwlSbzK+19UhwNWqwWgSINQ2BaRWuXm2qxbX8/l2bsbRCSD87T/xiUi1blKoUU/70tJLAu+yXZ3GhKRwFLYFpFaLVgE3n8x7VmL/iaG6e4JLCKB4Sx0dyVJ6Ob9b2x+Puz+MWBDEpEzFLZFxCPbtknPtKnP2hdhce5VI60S/41LRGqqXOAmsbf3b+tqASjSMBS2RcSjzVvg8OH6XSOxt0lYHOpCItIArBL3zciOaO+Od7lg1TcqIxEJNIVtEfEoY54femtfZwKGlmcXaQBWIYQnQEJP79/at26DU6cUuEUCSWFbRGooKbFZ8nX9emtHtTGI7WjgVC9fkQZhW4BhkHS1by0As1VKIhJQCtsiUsPyFVBWz1Z9Sf0NHFFanl2kIVlFNgk9TMITvTveNGHlKn0gFgkkhW0RqeGrjPr11saElgMc2BV6ExdpSM4icMRAYh/vfoFdLsjJgQr9rooEjMK2iFRz6JDND5vr2Vu7m0Fka6go8N+4RMQLtrs0pOW13r+9l5bBxu8DOCaRZk5hW0Sqmb+wnrPauFeMNMLcK9uJSMOyCiH2coOoNt7VbjscKiURCSSFbRGp4nLZZGTWb1Y7LA5a9DFVqy3SSKxiMKMMWvTzLmxbFizP0mqSIoGisC0iVdath+N59btGi74mYfHqrS3SmOwKm+TrHF6/y584ATt2BnZMIs2VwraIVPFXb23bRr21RRpRxWmIbA3xXi7fbpqQtVIz2yKBoLAtIgAUnLZZkVW/3trRbQ1iLzewTvtvXCLiO7scjDBoebX3XUmWrQjwoESaKYVtEQHg66XgdNbvGklXm5hR7mWjRaRxWcW/lHV548ABOHBQs9si/qawLSIApGfYGN4vPFeDEe4uIXGV+29MIlJ3zkIIi4ek/t691RsGrFwV4EGJNEMK2yLCvp9sdu5y9+etq8ReBhEp4FRvbZHg4ALbBcnXe/dWb9uwbLlmtkX8TWFbRJi/wMZRz78GLQeYGIaBXc9SFBHxH2cBRLcziOvs3ddW27bD8eMK3CL+pLAt0sxZls28+WDVo3tIZGtI6GniLNSbtEgwcZWBGeEu8fKGYcCKlQEelEgzo7At0sx9tw5O5tfvGklXmziiDawivwxJRPzIKnb/joYlenf80mX60CziTwrbIs3cvAX1661thEHyIAe2U2/QIsHIedq9smvLay/8lm/bsOkHOHFCv88i/qKwLdKMnfZDb+2EngaRraFCN0aKBCcbbAtSBpsYXnywtm2Vkoj4k8K2SDP29bL699ZOHmhimAZ2hX/GJCL+V3EKoi42SLzqwjdKGgYs+Voz2yL+orAt0ox9Vc/e2hEpZ26MLNIbs0gwsyvAMA1SfnXhqe3KUpK8PP1ei/iDwrZIM7Vnr83OnfXrrd3yWhNHjG6MFGkKnAU28V0NYtp79wl7uZZvF/ELhW2RZipzfv16axsOSL7egV1hgybARIKeVQJmJKQM8e4Xf+ES/WKL+IPCtkgzVFFR/97aCb0MIi/SjZEiTYlVBEnXmESknP8424atW+HnnxW4RepLYVukGfp2NZw+Xb9r6MZIkabHeRrCYg1SBl+4dtswYMnSBhiUSIhT2BZphtIzbMx6/PZrxUiRpstVapMy2CQs/vzH2TbMX6DfcZH6UtgWaWaOH7fJWQOuepSQtBygGyNFmqqKAghvYZAy+MIR4Kf98OMeBW6R+lDYFmlm5i+s3/lmhHvFSFe53oBFmiQXuMptWt3gwBFz/kMdJixcrN91kfpQ2BZpRmzbJj3Drle7vxZ9TCJTwKkbI0WarIp8iEiG5EHnjwGWC+YvAMtS4BapK4VtkWZky1Y4fKR+10j5lQmGgV3PlSdFpBG5wHZC65suPLt98iSs39AwwxIJRQrbIs3I/AU2jgs3IahVbEeD2I4GFac0yyXS1JWfdN/s3OpX548CDoe7L7+I1I3CtkgzUVZms3gJWFbdr5GSZmJGgKvUf+MSkUbiAlcZtL7ZQVhi7YdZlns1yUJ1HxKpE4VtkWZi1TdQXFL38yNaQov+pjqQiISQinwITzJofdP5v/JyOuHrZQ0zJpFQo7At0kx8Vc/e2i0HmoTFGTgL/TcmEWlkNlglNq1uMIlsXfthhuHuzy8ivlPYFmkGfv7ZZt36uvfWNiMhZfCZdn96vxUJKc5TEBYHFw2rfXbbtmH7Dtj3k/4AiPhKYVukGcicX79Z7Rb9zrT7O+W/MYlI8HAWuherimlv1HqMaUJGpsK2iK8UtkVCnGXZfJVRjxUjDWh1o4kN2PW4uVJEgpdVCI5oaPNrB9SSt10uyJgH5VrQSsQnCtsiIW7Nd5CXV/fzE7obxF5maFZbJMRVnHT/vif1rz0aFBbCylUNOCiREKCwLRLi5sytXwlJqxsdGOEGrjL/jUlEgo+rDDCgzajaF7oxTfhyrma2RXyhsC0Swo4ft8nOrnsJScxlBgk9DJwFenMVaQ7KT0BUG6PWmyVdLtj4PfykGyVFvKawLRLCMudTa/2lN1KGmJjRYBX7bUgiEswssIptWg+t/WZJhwlzvlLYFvGWwrZIiHK5bOZ+Zdd5VjsiBZKuMbHUV1ukWXEWgCMG2t7jwPAwwW2duVGyuFiBW8QbCtsiIWrtd3Ast+7npwxyaBEbkWaq/ATEdzVI+ZXnmFBaCgsWNfCgRJoohW2REDVnro3j/Csw18oR5y4hcZVqERuR5sguB5cTLr7TQUQrD/tt+GS2jculPxAiF6KwLRKCcnNtvvkWrDr2xU653iS8BVQU+HVYItKEVJyE8CRoNzbMY1o4fBjWrG34cYk0NQrbIiEoYx51vjHSjIJWQx3YTqCuC+GISNNnQ8UJSLzKoNUNNeOCabpnt0Xk/BS2RUKM02nz5dy63xiZfJ1JZCuoyPfrsESkCXKVgasC2ox0EHNZ9U/wLhd8tw727FHgFjkfhW2REJO9Gk6cqNu5ZgS0vtmBbWlpdhFxqzgJYfFw2QMOHNHV9zkcmt0WuRCFbZEQ848v675iZMvrTKJSNastItWVH4eYy00u+efqd11bFixc7F5AS0Q8U9gWCSH7D9isXVe3FSONcGh9i4lt467XFhE5w3aCs8AmJc0k+frq0cG2YfYXCtsitVHYFgkh9ZnVTh5oEn2xQcVJ/45JREKDVQzYcMk/O4hu90v9tssF//gSCgsVuEU8UdgWCRHFxTYZmXWb1TYj4aLbHNguzWqLSO3K8yA8Edr/1oEj7pftZWXwjzmNNiyRoKawLRIi5i90v+HVRfKgM7XamtUWkQsoz4WYy0zajXNUtRi1bZj1ia0l3EU8UNgWCQEul83sz+06LfboiIaLbnH31VYHEhG5ENuCinyblteaXHTbLzGiqAi+nNuIAxMJUgrbIiFg7Xdw6FDdzk1OM4lsrQ4kIuI9VylYZdDmLgct+rqnt20bZs6yKSnR7LbI2RS2RULA7M9tHHX4bXbEuWe1XRWa1RYR3zhPgREGlz0QRlxnd+AuLIQ5XzXywESCjMK2SBN34KBNzhqw6nBjZOsbTSJSDM1qi0idlB+HsHiD9g+HEdXGwLbh/Q9Vuy1yNoVtkSbu8y/qNqsd0RJaDXXgKrWhjku7i4iUHbOJbAUdJjoIT3LXbn8yu7FHJRI8FLZFmrDTp23SM+s4q32bg/AWBhWn/D8uEWlGbCg7BtGXGnSYGIYZA7M+tsnP1+y2CChsizRp6ZlQUeH7edFtDVIGmViFNnVqYSIicjaXu6QkrovJ5RPCcJrwwUz9cREBhW2RJquiwubjT23sOryfXTzCxBEDztP+H5eINE+2E8pP2CReadLuNw7+kQGHDitwiyhsizRRS5fByTosQpPQyyCxj4lT5SMi4md2OVSctEm62qTdAw7eeVdhW0RhW6QJsm2bD2baGIZv5xlh0GakAzPMwCoJzNhEpHlzlbn79icNMNnX0cHGzQrc0rwpbIs0Qdmr4af9+FxCkpJmEtvBoPyE3vxEJHBcpe7AnTzQ5N09JhWW/uZI86WwLdIEvT/TxvTxtzcsHlKHn1mWvQ43VYqI+MJVCs4CcPQyeWeXA+Vtaa4UtkWamO832WzZAi4f2/2lDncQkWJQXoc6bxGRurBK3IF7b7RBRrGpwC3NUlhjD0BEfDPjA/ciNr701o5pb5AyxMQq0gI2ItKwrBIoN2B1lEF4uMmt4S4cPt5vItKUaWZbpAnZvt1m7Xc+LmJjwiV3O3BEq9WfiDQOqxgKfoZ1ZSaLKjTDLc2LwrZIEzLtPd9rtVsOMInvblCh8hERaURWKeQftvneMlnqNHEpcEszobAt0kRs2WqTs8a3Wu2wRHerP2x3Oy4RkUZjQ9FJKD9ts94yWabALc2EwrZIE2DbNm//zfdZ7TYjHUReZFB+IjDjEhHx1dGfIMyyWWuZrHCadVoFV6QpUdgWaQJWr4HvN/k2q53QwyB5oImzQDdFikjwsFxw/CBEYbPGMlmpwC0hTmFbJMhZls2bb9mYPty9b0bCJf/swIwwsIoCNzYREZ/ZcPIklBdABDbZlsm3CtwSwhS2RYLc/IXu1SJ9qW28aJiDmHYG5Xl69xKR4LR/P0RaEI7NN5ZJjgK3hCiFbZEgVlJi87e/2/jSkjamvcFFt5hYJWA7AzY0EZF6cVpw4CDEGhCGzUrLZK1TDbgl9ChsiwSxTz+DU6fA28keIxwuHefAEeNetU1EJGidKSfJz3cHbhObLMvkewVuCTEK2yJB6uRJm5kf2T59rZo6zEFcJ4PyvMCNS0TEn/YfAKcT4gz3xMLXTpNtlgK3hA6FbZEg9dbfbMorvD8+rovBRcPOlI/4cJ6ISGOyLPd9KQDxgBNYUGGyS4FbQoTCtkgQ+n6TzYKF3rf6c8TApfc5cEQZKh8RkabFhoJTcPw4GAYkAOXAvAqTPQrcEgIUtkWCTHm5zf/81bcFbC75Jwcx7UzKj+tWfhFpmg4ehNISd+BOBEqAjAqT/S4FbmnaFLZFgsysT+DQIe9ntZOuNklOM3GetrGtwI5NRCRQbGDPPvffPsOAFkCxbZBebnJEC3NJE6awLRJE9u+3mfGB9zdFRqRA2zEODAMtXiMiTZsNZaVw4ID7Xw0DWhg2BbbB3AoHeQrc0kQpbIsECcuyeeFFG9vLNxQjDC67P4yIFNR9RERCxokTcOKk+58rA/dJl8GXFQ7yVSknTZDCtkiQmDkLtmwFy8uwnTrcQUJPg4o8vG/ELSLSBOzfD2Vl7n82zwTuXJfBnHIHhfp7J02MwrZIENi23Wb6/3n/DpLQyyD1TJs/V3kAByYi0ghsG/bs/eXeFdOARMPmiG3wVbmDMgVuaUIUtkUaWVGRzX/+t/fvHBGtoN34MIwIrRIpIiHKdncmOXjwl00OAxKw+cllkFlh4lTgliZCYVukEdm2zYt/tTl2zLvuI0Y4tP9NGJGtoDw38OMTEWlMeXnu/1UKMyDOsNlhmSyuMHEpcEsToLAt0og++xyWrfC+zd8l/+QgvtuZ5dj1JiMizcD+A1B0VrelCANiDJtNLpMVTtPr7k0ijUVhW6SRrFlr88bb3r9LtLzOpNWNJs5CLccuIs3Lnj3gPOvvXpQBEdissUy+UeCWIKewLdIIdu2y+f+e8f7dIaa94e6nDViFgRuXiEjQscFpuW+YPDtUxxgQjk22ZfK9lnWXIKawLdLA9u+3eeIPNuUVeDUbE54Elz/kIDzBUD9tEWmebHcpydk3TALEGu6dS50mOxW4JUgpbIs0oB/32Ex8zKaw0Ls6bTMKLn84jKhLDMpy9T2piDRvx49D7jk3h8cDFcD8CpN9CtwShBS2RRrI1m3uoH3ay6CNCe3GO4jvZrpntLVUsYgIBw/CqVO//LthQCJQYhukV5gcdClwS3BR2BZpACtX2Tz2hE1pqQ+dR37tIHmAScUpWzdEioicZe8+KD6rQ0nlsu5FtsHccpMjmpyQIKKwLRJAlmXz7nsunn7Gprzc+6Cd8iuTi249s0JkSWDHKCLS1Ng27P4Rykp/2VYZuAtsg7kVDvIUuCVIKGyLBMihQzaPPm4z4wPfzkvoZdD2nx3YNjhPB2ZsIiJNmg2WC3bthoqzvvmrDNwnXQZzKhzk61YXCQIK2yJ+VlpqM+MDm/sesNm23bdzY9obtP/XMMwoqDgRmPGJiIQEGyqc7hluy/pls2lAomFzzGXwZbmDAgVuaWSGbXvXCv7kyZOBHotIk1ZYaDNvPnzwkc2pU9619TtbZCp0fjKcyIsMyo7ZWiFSRMQbBsTGQKdOYJ41hWjZkI/BJYbN3REWcbpvUgIgKSnpgscobIvUQ1mZTc4aWJFls2w5lNfxRsaIZOj0ZBjRlxqUHUOdR0REfGFAXBx07FAzcJ/CoK1h8+sI60xfbhH/UdgW8aPjx202fA/HjsHBgzY/7oGdu8DpBIej+teYvghPgk6PhxHTwaDsKAraIiJ1lJAAHTq4a7crOW0owOBSw2aUArf4mcK2iB89N8XFwkXuWRPDqHu4Plt4InR8PIzYTgblx8D2wzVFRJqzxES4/HLPgbvtmcCtkhLxF2/Ctm6QFPFSRYX7j7fL5Z+gHZYIHR4LI7ajQXmugraIiD+cOgV79lRvtRpmQAI2B2yDL3TTpDQwhW2RRhCeCB0fDSOus0H5cbCdjT0iEZHQUVAAu3eDddbf1jADWmBzyGXwebmDkyrZkwaisC3SwCpvhozrqqAtIhIoRcWwY1f1PtyOM324j7oMPq9wkKvALQ1AYVukAUVd7A7aMR3O1GgraIuIBIYNZWWwY4f7/ytVBu7jLoMvKhxa2l0CTmFbpIHEtDfo9Ptwd3u/o6rRFhEJuDML3+zYCcXFv2w2z1pp8otyB3st3TEpgaOwLdIAYjsZdHw8jMhWau8nItKgbPdN7Tt3womzVuY1DUgybAqBuRUmWxW4JUAUtkUCLKGXQcfHwohI0sqQIiKNwnav6vvTT3Dw4C8r/BoGtADKgXkVJtkVJi79jfbIsqHIhhK9Pj4La+wBiISyVkNNLrnbgRkFZUf1F0pEpLHl5rpvnuzQHsIj3IE7wYYiIMsyOWHDTeEuIpvpRLdtw0kbjtoGx22D4y7Isw2KbPeXshHAbyItopvp61MXCtsiAeCIhrb3OEhOM7GdUH6ssUckIiKVioth23Zo39696qRh/P/t3UtvG+cVxvH/mRmSusuS73ZdpxckCFAgSIqgQNJFW7SrNOgHKAoE6efqtquuChTotqssumiTOsjFdmzJsWXrRkuyaInkvKeL96XE2E4sOxqJpJ4fMCZIj+iRRJMPD8+cF6aAHXc+KTOabrxXK5k7IZ//tx0Wg3E7GF8FY8uhjRHztFMAOVACu0AHGD++wx06Ctsih2zsIrzy54LJn2Z0N52y9fyvERGRI5T6uG/ehDNn4PIlyHIYMyhw7gTjr+2c39UCr+aj+alk6bAQjC9K40YwWhjBoTCnAUzgZE9Ur3cdNETrxSlsixyi2TeNH/6poD4P7VXXaD8RkQG3uhZXnbx6Faan9xe/2QT+3sl4OzjvFoFiRNomHjp8VmZcK42mG6VD3ZxpnPyEVPKPmsK2yCHIxuDiH3LO/SbDCuLEkdEshoiIjJY0HvDGDZifh8uXoShg1uEx8FGZ8XUwflsrOT+kYTSkNpFrpXE9GDtu5OZM4NSG9HsaJgrbIt/T1KvGlT/mTFzNKB85neZxH5GIiLyQVBxZb8LDDbjygxi8J4C6O4upreQXufN2EagNSZW77fBZafynzFhxo+swZs6cOTYk38MoUNgWeUn5JFx4L+fsrzPyMVPbiIjIsHMIZRwRuLISq9xTUzCH700r+TIYvyoCV7PBDaybDv/rZnwcjE03jFjFrquKfSwUtkVekOUw/07GxfdzGueMcts11k9EZMS0HsP16zA9A5cvwtQEdN25H4y/dTJey5xfFmFgJpa4wwOHj7sZnwXjsRuFOTM4+YC+KTgpFLZFDsiB2TeMC+/nTPzIIBAXqdFqkCIioyfVULa24PNNmD0FF87DqXFnF7gWMr5qG2/kzltFYOaYAm3X4WYwPimNxWC03WiYc8qeniYix0NhW+Q5yvRE1v19wY9nDcuMdtPxznEfmYiIVC6F7o0N2HgIk1Nw4RzMTTvbBh91M/5bGj/LnTfzwOkjqHS7w1qaKvJpMDbccIdxcybVjz1wFLZFvsVjhy/SiSXLboRL0L3vhF21jIiInDjpqX97G25+BfU6nD0L8/PObg7/LjM+KY2fZM7rufNK5tQPMfQGh2WH2yHjemksO7RTq8gUTjEg7SzyNIVtkT6lw51gfJ7GI20TTyyZxGluQtg97iMUEZFjlUJ3uw1378K9e3DqFMyfdrLJWG3+PMRFYV7JnCuZczFzzhgv1Dsd+pZNvxeMW8HYcOi4kZkzBqpiDwmFbTnxWilgLwTjZjC2+ob8zz5jBS0REZEed2g+hGYTihqcnndm5qAzBp+WGddKqKVwfClz5g0mzNNqlWDEZdA7DjsYjxzW3FgNcWn0NgZpZccxYEoBe+gobMuJ0nZYd1h1YzkYd4Ox6rBL7Heraci/iIi8qFTt7nbgwTI8eACNBszNOXPzkNVjcP4yGLiBxZBOX2i2dN0dMnMKoAZM4phek4aawrYMNfdUEQC6wK5DG9hxY4fYd73t8aO3FTc2Pe7XSZWC3Jw6xNFIejITEZHvKwXv3V24/wDu34excZifi+0mjUba4cnqtPHs22XoKWzLkQjOXviNlzEMx3BsdFII7hKrz21igO64URIDdejbSo/PZyXxsrcFwLG9/Sw9pznxI7gC4sdwqhSIiEjV0mvQzmO4txP7u+sNODULMzMwOQmZXotGnsK2HAp3aAEPHTbd2EqXDx023Nj2/cBcpjDs7H9sRl8oBjBzLP1Vb+t58s2/AVnffhm+f11PYiIiMgh6J1buwvIKLC+DWVyhcmYWZqehMXa8hyjVGJqw/a9Oxu1gZEBhUCeeKDBuMGbxrN9JiycOzBhMgE4gqIA7bAHrwWg6ND32PK+5sePQxeiSgrDH0JwTw3BOfMD1wnDWn6L1uxIRkZOiV2DyuGjO1hbcBYoiVbynYGoSxk54+A7B2diErU3YbsGjR9BqxRaddgc8wLvvwPz8YIeIoQnbC8G4E+KqSO6pVcAtZrReZdR6gS724c5ncMaceXPmDOYzZxaF8IPq9p1MuObGcogjiHY89jwHT9Xj1J5REN/05KSfsX7OIiIiB9btwnoT1tfj9TyPle/JybhNTIxW20mn4ywtwdd34d4SLC05S/dhaQlWVmFzE8JzVmn+8APjww+O5HBf2tCEbYBGqlrv6TXkAljsC+719+4AiwEWPD4qzaCG0wDOZ875FMTPpCBenPBguOvsVahXg7GUxg51iME6/nicGqS+5zgST29cREREDlFftCnLtHLlJntFxYkJmJ6C8XGYGI894IP8WuzuNJuwsBi3xUVnYQFuLcDq6n6YNoM8gzKkSS0HUBRQlk+MdRlAQxW2nyez2K5Q678xBfIynYC3A9wIxo1gODGA14FzGZw352zmnDbntHGoKz8NiuCwCTTTyLu1FKw3UrW6mx7geapWN0gnE47gz0JERGQo+P5lazu2UvRuswzGx+LEk7FGbD0ZaxxtCHd31tbjCaBLS7B0H+7ccW7dhjtfw+PH+/sWRazgP30f0C2P5niP2kiF7e+SpxaTxt4tsR0lVm5hIcBtz3CLbSg1YM5iAD+dxer3rDmnDGpDEDzL1Fv9MMSTFJturDisBGOXGKzdvzmlYxynULVaRERksPVVfj3E8N16/PTfFUVcVr5eh1otXi8KyAso8tiS0tv22nJ7d+Ox6tzbyjLOCu86/OUfgUcP4kmeS0uwuvbNAJ3n+1//pGcF7VF3YsL2s5hBnbjFG2IAj3OY4YHDvZBhJZBCeAFMG3t94NPmTFtcMnXSYJLqw3jvTUIrTQDZTtM+tjA2AqzvVar3Q3X8fveH5KsNREREZIQ8o/Wi241bqxVf7/1b9juobBzyBnz0T9hd+/Z+6nJEK9Qv60SH7WeJvd19rSipDSX0zYFeTwuk4Cmppqp5nqZs1NM0lAlzJojTUurEEJ4TR9r1JnT0sm7/nOjYdx6nenQ8zp3eAVoYLSdN/eiN0otzqN3TfyTfbwFRb7WIiIjAwfugD3I/3e7zT1yUfUMVtnfcKL/PW7LDloK4e2zN6AXf/UO0vT/7g/V3Deroa8v6RgB/6p9mf5xeRqxaQwzVgbgoTPtZdywvzWegUXv+fiIiIqPIcqPbGpxAMSwtKUMTtl/PAtMDW54dnAeeVGexBbdu63ctIiInV96C164Al477SGKv+c/fGtRsuM/cD/bBQrPZrPpYRERERESGxtzc3HP3GaHR6CIiIiIig0VhW0RERESkIgrbIiIiIiIVUdgWEREREamIwraIiIiISEUUtkVEREREKqKwLSIiIiJSEYVtEREREZGKKGyLiIiIiFREYVtEREREpCIK2yIiIiIiFVHYFhERERGpiMK2iIiIiEhFFLZFRERERCqisC0iIiIiUhGFbRERERGRiihsi4iIiIhURGFbRERERKQiCtsiIiIiIhUxd/fjPggRERERkVGkyraIiIiISEUUtkVEREREKqKwLSIiIiJSEYVtEREREZGKKGyLiIiIiFREYVtEREREpCIK2yIiIiIiFVHYFhERERGpiMK2iIiIiEhF/g/rQoHB+zbEqQAAAABJRU5ErkJggg==", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_energy(trace)\n", "az.plot_ppc(trace);" ] }, { "cell_type": "markdown", "id": "ffefc1ed-5fb5-44c1-93ab-3be3d6268ea8", "metadata": { "jupyter": { "outputs_hidden": true }, "tags": [] }, "source": [ "## Posterior visualisation\n", "The graphs above look good. Now we plot the observed 3-dimensional series against the average predicted 3-dimensional series, or in other words, we plot the data against the estimated regression curve from the model {eq}`eqn:model`." ] }, { "cell_type": "code", "execution_count": 8, "id": "2c209fb9-26d5-4bd3-a77c-5f31db0f2545", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the predicted mean of the multivariate GRWs\n", "alpha_mean = trace.posterior[\"alpha\"].mean(dim=(\"chain\", \"draw\"))\n", "beta_mean = trace.posterior[\"beta\"].mean(dim=(\"chain\", \"draw\"))\n", "\n", "# Compute the predicted mean of the correlated series\n", "y_pred = y_scaler.inverse_transform(\n", " alpha_mean[t_section].values + beta_mean[t_section].values * t_scaler.transform(t)\n", ")\n", "\n", "# Plot the predicted mean\n", "fig, ax = plt.subplots(1, 1, figsize=(12, 6))\n", "ax.plot(t, y, \".\", markersize=2, label=(\"y_0 data\", \"y_1 data\", \"y_2 data\"))\n", "plt.gca().set_prop_cycle(None)\n", "ax.plot(t, y_pred, label=(\"y_0 pred\", \"y_1 pred\", \"y_2 pred\"))\n", "ax.set_xlabel(\"Time\")\n", "ax.legend()\n", "ax.set_title(\"Predicted Mean of Three Correlated Series\");" ] }, { "cell_type": "markdown", "id": "285b52ba-9b95-4f25-9420-e1cfa0a0d4d3", "metadata": {}, "source": [ "Finally, we plot the data against the posterior predictive samples." ] }, { "cell_type": "code", "execution_count": 9, "id": "c39b6792-71d4-4639-8804-63e145a9de78", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Rescale the posterior predictive samples\n", "ppc_y = y_scaler.inverse_transform(trace.posterior_predictive[\"y\"].mean(\"chain\"))\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(12, 6))\n", "# Plot the data\n", "ax.plot(t, y, \".\", markersize=3, label=(\"y_0 data\", \"y_1 data\", \"y_2 data\"))\n", "# Plot the posterior predictive samples\n", "ax.plot(t, ppc_y.sel(y_=\"y_0\").T, color=\"C0\", alpha=0.003)\n", "ax.plot(t, ppc_y.sel(y_=\"y_1\").T, color=\"C1\", alpha=0.003)\n", "ax.plot(t, ppc_y.sel(y_=\"y_2\").T, color=\"C2\", alpha=0.003)\n", "ax.set_xlabel(\"Time\")\n", "ax.legend()\n", "ax.set_title(\"Posterior Predictive Samples and the Three Correlated Series\");" ] }, { "attachments": {}, "cell_type": "markdown", "id": "39c47db9", "metadata": {}, "source": [ "## Authors\n", "* updated to best practices by Lorenzon Itoniazzi in October, 2021 ([pymc-examples#195](https://github.com/pymc-devs/pymc-examples/pull/195))\n", "* updated to v5 by Chris Fonnesbeck in February, 2023 " ] }, { "cell_type": "markdown", "id": "1c177e79-e53d-446e-97c3-809df9177f1f", "metadata": {}, "source": [ "## References\n", "\n", ":::{bibliography}\n", ":filter: docname in docnames\n", ":::\n", "\n", "## Watermark" ] }, { "cell_type": "code", "execution_count": 10, "id": "e07099e2-5167-4df3-a826-09e2b3e9950e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Thu Feb 02 2023\n", "\n", "Python implementation: CPython\n", "Python version : 3.9.15\n", "IPython version : 8.7.0\n", "\n", "theano: not installed\n", "xarray: 2022.12.0\n", "\n", "pytensor : 2.8.11\n", "numpy : 1.23.5\n", "pymc : 5.0.1\n", "sys : 3.9.15 | packaged by conda-forge | (main, Nov 22 2022, 08:48:25) \n", "[Clang 14.0.6 ]\n", "matplotlib: 3.6.2\n", "arviz : 0.14.0\n", "\n", "Watermark: 2.3.1\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p theano,xarray" ] }, { "attachments": {}, "cell_type": "markdown", "id": "5f513c30", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] } ], "metadata": { "kernelspec": { "display_name": "pymc", "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": "3.11.0" }, "vscode": { "interpreter": { "hash": "970ac73df0f14d7a1f980febd250c4ded990984ec0e2432b12dcbf556b464244" } } }, "nbformat": 4, "nbformat_minor": 5 }