{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MGC-X and DCorr-X: Independence Testing for Time Series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we explore\n", "\n", "- The theory behind the Cross Distance Correlation (DCorr-X) and Cross Multiscale Graph Correlation (MGC-X) tests\n", "- The unique methodological features such as optimal scale and optimal lag\n", "- The features of the implementation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Theory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Notation\n", "Let $\\mathbb{N}$ be the non-negative integers $\\{0, 1, 2, ...\\}$, and $\\mathbb{R}$ be the real line $(-\\infty, \\infty)$. Let $F_X$, $F_Y$, and $F_{X,Y}$ represent the marginal and joint distributions of random variables $X$ and $Y$, whose realizations exist in $\\mathcal{X}$ and $\\mathcal{Y}$, respectively. Similarly, Let $F_{X_t}$, $F_{Y_s}$, and $F_{(X_t,Y_s)}$ represent the marginal and joint distributions of the time-indexed random variables $X_t$ and $Y_s$ at timesteps $t$ and $s$. For this work, assume $\\mathcal{X} = \\mathbb{R}^p$ and $\\mathcal{Y} = \\mathbb{R}^q$ for $p, q > 0$. Finally, let $\\{(X_t,Y_t)\\}_{t=-\\infty}^{\\infty}$ represent the full, jointly-sampled time series, structured as a countably long list of observations $(X_t, Y_t)$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Statement\n", "The test addresses the problem of independence testing for time series. To formalize the problem, consider a strictly stationary time series $\\{(X_t,Y_t)\\}_{t=-\\infty}^{\\infty}$, with the observed sample $\\{(X_1,Y_1),...,(X_n, Y_n)\\}$. Choose some $M \\in \\mathbb{N}$, the `maximum_lag` hyperparameter. We test the independence of two series via the following hypothesis.\n", "\n", "$$\\begin{align*}\n", " H_0: F_{(X_t,Y_{t-j})} &= F_{X_t} F_{Y_{t-j}} \\text{ for each } j \\in \\{0, 1, ..., M\\}\\\\\n", " H_A: F_{(X_t,Y_{t-j})} &\\neq F_{X_t} F_{Y_{t-j}} \\text{ for some } j \\in \\{0, 1, ..., M\\}\n", "\\end{align*}$$\n", "\n", "The null hypothesis implies that for any $(M+1)$-length stretch in the time series, $X_t$ is pairwise independent of present and past values $Y_{t-j}$ spaced $j$ timesteps away (including $j=0$). A corresponding test for whether $Y_t$ is dependent on past values of $X_t$ is available by swapping the labels of each time series. Finally, the hyperparameter $M$ governs the maximum number of timesteps in the past for which we check the influence of $Y_{t-j}$ on $X_t$. This $M$ can be chosen for computation considerations, as well as for specific subject matter purposes, e.g. a signal from one region of the brain might only influence be able to influence another within 20 time steps implies $M = 20$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Test Statistic\n", "Define the **cross-distance correlation** at lag $j$ as\n", "\n", "$$\\begin{align*}\n", " \\text{DCorr}(j) := \\text{DCorr}(X_t, Y_{t-j}).\n", "\\end{align*}$$\n", "\n", "Where $\\text{DCorr}(\\cdot, \\cdot)$ is the distance correlation function. Assuming strict stationarity of $\\{(X_t,Y_t)\\}$ is important in even defining $\\text{DCorr}(j)$, as the parameter depends only on the spacing $j$, and not the timestep $t$ of $X_t$ and $Y_{t-j}$. Similarly, let $\\text{DCorr}n(j)$ be its estimator, with $\\text{MGC}_n(j)$ being the $\\text{MGC}$ test statistic evaluated for $\\{X_t\\}$ and $\\{Y_{t-j}\\}$. The $\\text{DCorr-X}^M$ test statistic is \n", "\n", "$$\\begin{align*}\n", " \\text{DCorr-X}_n^M &= \\sum_{j=0}^{M} \\left(\\frac{n-j}{n}\\right) \\cdot \\text{DCorr}n(j).\n", "\\end{align*}$$\n", "\n", "Similarly, the $\\text{MGC-X}$ test statistic is \n", "\n", "$$\\begin{align*}\n", " \\text{MGC-X}_n^M &= \\sum_{j=0}^{M} \\left(\\frac{n-j}{n}\\right) \\cdot \\text{MGC}_n(j).\n", "\\end{align*}$$\n", "\n", "While $\\text{MGC-X}$ is more computationally intensive than $\\text{DCorr-X}$, $\\text{MGC-X}$ employs multiscale analysis to achieve better finite-sample power in high-dimensional, nonlinear, and structured data settings [[1]](https://elifesciences.org/articles/41690)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The P-Value\n", "Let $T_n$ represent either of the test statistics above. To compute the p-value, one need to estimate the null distribution of $T_n$, namely its distribution under indepdendence pair of data. A typical permutation test would permute the indices $\\{1,2,3,...,n\\}$, reorder the series $\\{Y_t\\}$ according to this permutation, and $T_n$ would be computed on $\\{X_t\\}$ and the reordered $\\{Y_t\\}$. This procedure would be repeated $K$ times, generating $K$ samples of the test statistic under the null. This permutation test requires exchangeability of the sequence $\\{Y_t\\}$, which would be true in the i.i.d. case, but is generally violated in the time series case. Instead, a block permutation captures the dependence between elements of the series, as described in \\cite{politis2003}. Letting $\\lceil \\cdot \\rceil$ be the ceiling function, this procedure partitions the list of indices into size $b$ \"blocks\", and permutes the $\\lceil \\frac{n}{b} \\rceil$ blocks in order to generate samples of the test statistic under the null.\n", "Specifically,\n", "\n", "1. Choose a random permutation of the indices $\\{0, 1, 2, ..., \\lceil \\frac{n}{b} \\rceil\\}$. \n", "\n", "2. From index $i$ in the permutation, produce block $B_{i} = (Y_{bi+1},Y_{bi+2},...,Y_{bi + b})$, which is a section of the series $\\{Y_t\\}$.\n", "\n", "3. Let the series $\\{Y_{\\pi(1)}, ..., Y_{\\pi(n)}\\} = (B_1, B_2, ..., B_{\\frac{n}{b}})$, where $\\pi$ maps indices $\\{1,2,...,n\\}$ to the new, block permuted indices.\n", "\n", "4. Compute $T^{(r)}_n$ on the series $\\{(X_t, Y_{\\pi(t)})\\}_{t=1}^n$ for replicate $r$.\n", "\n", "Repeat this procedure $K$ times (typically $K = 100$ or $1000$), and let $T^{(0)}_n = T_n$, with:\n", "\n", "$$\\begin{align*}\n", " p\\text{-value}(T_n) &= \\frac{1}{K+1} \\sum_{r=0}^K \\mathbb{I}\\{T^{(r)}_n \\geq T_n\\}\n", "\\end{align*}$$\n", "\n", "where $\\mathbb{I}\\{\\cdot\\}$ is the indicator function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using DCorr-X and MGC-X" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import random\n", "from scipy.stats import pearsonr\n", "\n", "from mgcpy.independence_tests.dcorrx import DCorrX\n", "from mgcpy.independence_tests.mgcx import MGCX" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulate time series\n", "Let $\\epsilon_t$ and $\\eta_t$ be i.i.d. standard normally distributed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Independent AR(1):\n", "$$\\begin{bmatrix}\n", " X_t\\\\\n", " Y_t\n", " \\end{bmatrix}\n", " =\n", " \\begin{bmatrix}\n", " 0.5 & 0\\\\\n", " 0 & 0.5\n", " \\end{bmatrix}\n", " \\begin{bmatrix}\n", " X_{t-1}\\\\\n", " Y_{t-1}\n", " \\end{bmatrix}\n", " +\n", " \\begin{bmatrix}\n", " \\epsilon_t\\\\\n", " \\eta_t\n", " \\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def indep_ar1(n, phi = 0.5, sigma2 = 1.0):\n", " # X_t and Y_t are univarite AR(1) with phi = 0.5 for both series.\n", " # Noise follows N(0, sigma2).\n", " \n", " # Innovations.\n", " epsilons = np.random.normal(0.0, sigma2, n)\n", " etas = np.random.normal(0.0, sigma2, n)\n", " \n", " X = np.zeros(n)\n", " Y = np.zeros(n)\n", " X[0] = epsilons[0]\n", " Y[0] = etas[0]\n", " \n", " # AR(1) process.\n", " for t in range(1,n):\n", " X[t] = phi*X[t-1] + epsilons[t]\n", " Y[t] = phi*Y[t-1] + etas[t]\n", " \n", " return X, Y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Crosscorrelated AR(1):\n", "$$\\begin{bmatrix}\n", " X_t\\\\\n", " Y_t\n", " \\end{bmatrix}\n", " =\n", " \\begin{bmatrix}\n", " 0 & 0.5\\\\\n", " 0.5 & 0\n", " \\end{bmatrix}\n", " \\begin{bmatrix}\n", " X_{t-1}\\\\\n", " Y_{t-1}\n", " \\end{bmatrix}\n", " +\n", " \\begin{bmatrix}\n", " \\epsilon_t\\\\\n", " \\eta_t\n", " \\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def cross_corr_ar1(n, phi = 0.5, sigma2 = 1.0):\n", " # X_t and Y_t are together a bivarite AR(1) with Phi = [0 0.5; 0.5 0].\n", " # Innovations follow N(0, sigma2).\n", " \n", " # Innovations.\n", " epsilons = np.random.normal(0.0, sigma2, n)\n", " etas = np.random.normal(0.0, sigma2, n)\n", " \n", " X = np.zeros(n)\n", " Y = np.zeros(n)\n", " X[0] = epsilons[0]\n", " Y[0] = etas[0]\n", "\n", " for t in range(1,n):\n", " X[t] = phi*Y[t-1] + epsilons[t]\n", " Y[t] = phi*X[t-1] + etas[t]\n", " \n", " return X, Y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nonlinearly related at lag 1:\n", "$$\\begin{bmatrix}\n", " X_t\\\\\n", " Y_t\n", " \\end{bmatrix}\n", " =\n", " \\begin{bmatrix}\n", " \\epsilon_t Y_{t-1}\\\\\n", " \\eta_t\n", " \\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def nonlinear_lag1(n, phi = 1, sigma2 = 1):\n", " # X_t and Y_t are together a bivarite nonlinear process.\n", " # Innovations follow N(0, sigma2).\n", " \n", " # Innovations.\n", " epsilons = np.random.normal(0.0, sigma2, n)\n", " etas = np.random.normal(0.0, sigma2, n)\n", " \n", " X = np.zeros(n)\n", " Y = np.zeros(n)\n", " Y[0] = etas[0]\n", " \n", " for t in range(1,n):\n", " X[t] = phi*epsilons[t]*Y[t-1]\n", " Y[t] = etas[t]\n", " \n", " return X, Y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot time series" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_ts(X, Y, title, xlab = \"X_t\", ylab = \"Y_t\"):\n", " n = X.shape[0]\n", " t = range(1, n + 1)\n", " \n", " fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15,7.5))\n", " fig.suptitle(title)\n", " plt.rcParams.update({'font.size': 15})\n", " \n", " ax1.plot(t, X)\n", " ax1.plot(t, Y)\n", " ax1.legend(['X_t', 'Y_t'], loc = 'upper left', prop={'size': 12})\n", " ax1.set_xlabel(\"t\")\n", " \n", " ax2.scatter(X,Y, color=\"black\") \n", " ax2.set_ylabel(ylab)\n", " ax2.set_xlabel(xlab)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Explore with DCorr-X and MGC-X." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def compute_dcorrx(X, Y, max_lag):\n", " dcorrx = DCorrX(max_lag = max_lag, which_test = 'unbiased')\n", " dcorrx_statistic, metadata = dcorrx.test_statistic(X, Y)\n", " p_value, _ = dcorrx.p_value(X, Y)\n", " optimal_lag = metadata['optimal_lag']\n", "\n", " print(\"DCorrX test statistic:\", dcorrx_statistic)\n", " print(\"P Value:\", p_value)\n", " print(\"Optimal Lag:\", optimal_lag)\n", "\n", "def compute_mgcx(X, Y, max_lag):\n", " mgcx = MGCX(max_lag = max_lag)\n", " mgcx_statistic, metadata = mgcx.test_statistic(X, Y)\n", " p_value, _ = mgcx.p_value(X, Y)\n", " optimal_lag = metadata['optimal_lag']\n", " optimal_scale = metadata['optimal_scale']\n", " \n", " print(\"MGCX test statistic:\", mgcx_statistic)\n", " print(\"P Value:\", p_value)\n", " print(\"Optimal Lag:\", optimal_lag)\n", " print(\"Optimal Scale:\", optimal_scale)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DCorrX test statistic: 0.0\n", "P Value: 0.418\n", "Optimal Lag: 0\n", "MGCX test statistic: 0.0\n", "P Value: 0.424\n", "Optimal Lag: 0\n", "Optimal Scale: [40, 40]\n" ] }, { "data": { "image/png": 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P4tFHHy153zvuuAPvf//7cf78edxzzz21PC0RlfHE/Hq+1BFQmbQYpzsSEVU0NjbGoIxMNT09jYmJCVy6dAmHDx/G5ORkW/+Z3HOQJqV8AICowVks7+Mf/ziuvvpqTE5O4tChQ2Yfh4gKbCTSuLgSxU+/cHO4rJ+ZNCIiIsvjGoidapFJqx8DGa5GGhoaQn9/P06cOGH2UYhom7Pzal7RDQcLM2kOZtKIiIgsrtwaiHYN0mo6gp82qVY9ImqUM/NrALCl3NHntiOaykBKadaxqIUJIf5GCLEshHiixO2vFEKsCyEe1f77vUafkYioGXANxE4M0upkaGgoP+mGiOrvzPwG9nd3IOB356/zuR3ISSCR5t9DqovPArijwn3ul1LepP33wQaciYio6XANxE4M0urkrW99KwA1GfLmm282+TREre/M3NqWUkcA8LnsAMC+NKoLKeV9AIJmn4OIqNlxDcRO1u5Js6CZmRlD9wsEAnjggQfqexgiAgCsx9OYWY3hLbcc3HK916X+iYsmM+gvyLARNdBLhBCPAVgA8BtSyrNmH4iIyGr0vjNOd9zEII2Imt5ZbYn1DQd7tlzvc2uZNA4PIXOcBjAipYwIIX4SwJcAHNt+JyHEOIBxoL1Le4iovXENxFYsd9yDO++8E36/f8d/H/rQh8w+GlFbOaMHaQe2lTu61edQMZY7kgmklBtSyoj29dcAOIUQ/UXuNyWlvFVKeevAwEDDz0lERNbDTNoefP3rXzf7CEQE4PH5dRzo8aDP59pyfb7cMcVMGjWeEGIYwJKUUgohXgT1weiqycciIqImYLkgTUrZVuPrORqcaO+emF/fkUUDCssdmUmj2hNC/COAVwLoF0LMAfh9AE4AkFJ+AsBbAPx3IUQGQBzAz0v+o09ERAZYKkiz2+1Ip9NwuVyV79wi0uk0HA5L/RiImsp6LI3Z1Rh+9tZDO27zFQwOIao1KeXbKtz+lwD+skHHISKiFmKpnrSenh4sLS21zW6xXC6HpaUldHfvzAAQkTFPLBTvRwMKe9JY7khERETNw1IpnP7+fszNzeHpp582+ygN4/P50N+/o4+ciAx6fK50kOblnjQiIiJqQpYK0mw2G8cPE1FVnphfx8FeD3p9O8uk3Q4b7DbBckciIiJqKpYqdyTarQfPr+A9n3sEuVyb9eRLCaQTZp/CVI/Pr+HkweIlw0II+Fx27kkjIiKipsIgjVrCqXNL+MbZy4i0W1nb018HPrQP+PYHgUzS7NM03FosheeDcVxfpNRR53M7uCeNiIiImgqDNGoJc6E4AGAjnjb5JA22eh6QOeD+jwFTrwQWHjX7RA2lL7E+eaCn5H28zKQRERFRk2GQRi1hLhQDAGzE2yxjkgwDEMDbvgDEgsCnXwP8x/8GMimzT9YQepB2/YGukvfxuR0cHEJERERNhUEaNT0pJeb1TFqizTJpyTDg8gPX3AH8yn8C1/8M8L0/Aj79auDyE2afru7OzK3jcJ8XPd7SuxV9LgdizKQRERFRE2GQRk1vI55BWJve13bljskw4O5UX3t6gTdPAT83DYQvq/LH+z4CZFs3i3Rmfr3o6P1CPredmTQiIiJqKgzSqOnNrcXyX28k2uzNeKogSNNd9wbgf/wQuO6NwHf+EPjM7cDyU+acr45C0RTmQnHcUGKyo87rcnAEPxFRDU1PT2N0dBQ2mw2jo6OYnp42+0hELYdBGjU9fWgI0OaZtEK+APDWvwXe+lkgNAv8zeuAxEbDj1dPej+asUwayx2JiGphenoa4+PjmJ2dhZQSs7OzGB8fZ6BGVGMM0qjpbQnS2rEnze0vffuJnwbG/glIrAGPfb5x52qA/NCQ/RWCNJcDsWbIpCXDwJ/eAFz8ntknISIqaWJiArFYbMt1sVgMExMTJp2IqDUxSKOmNxeKweeyw+uyI9xu5Y6lMmmFDt4KHLgFeOiTQC7XmHM1wJm5dYwEvOj2Osvez+t2IJbOWn/R+drzwNol4Nlvmn0SIqKSLl26VNX1RLQ7DNKo6c2F4jjQ60G3x9mG5Y4RwF16/Hzebe9RO9Uufqf+Z2oQI0NDAMDnskNKIJ62eMljPKguLz9u7jmIiMo4fPhwVdfvFfvfqF0xSKOmNxeK42CvF10dzjYtd6yQSQOA43cBvkHgh5+s/5kaYDWSRGgtZCxIczsAwPoTHmNakLb4OCAtnvUjorY1OTkJr9e75Tqv14vJycmavxb736idMUijpjcfiuFgrwddHkd7LbOWEkhuqD1plThcwK2/CDx7Cli9UP+z1dnzD30Zj7nfjVt6ohXv63PbAcD6u9L0TFpiDVh/3tyzEBGVMDY2hqmpKYyMjEAIgZGREUxNTWFsbKzmr8X+N2pnDNKoqa3H09hIZFSQ1m6ZtFQUgDSWSQOAW98F2OzAjz5d12M1QvbRz8MpsjjpWal4X69LZdIiVh8eEg9tfr3Ikkcisq6xsTHMzMwgl8thZmamLgEawP43am8M0qipzWuTHQ/2etHlabcgLaIujQZpncOq7PHH96hetia1EYngmvXvAwBc8SsV7+/TgrSY1cfwx4KAzQkIG/vSiKgtbe8/6+vrK3q/evW/EVkJgzRqanMhVQahMmltVu6YDKtLI4NDdLe9R5VIPvaP9TlTA/z4u1+CX2hrFyJLFe+vlztavictHgR8A0DgGLD4mNmnISJqqGL9ZxsbG3C5XFvuV6/+NyKrYZBGTU3fkXagx4MujxPhRNr6o9ZrJaktpy63J227g7cC+18IPDTVtMMp0k/8K6LwQjo8BoM0LZNm9Z60WAjw9gH7TrLckYjaTrH+s3Q6jc7Ozob0vxFZDYM0ampzoTg8Tjv6fC50djiQk02QMamVfCbNYLkjAAihsmkrzwAX/6M+56qji0truDn+IBaGXgHROWQoSPO6tEya5XvSgoCnFxg+CYQXgGjlfjsiolZRqs8sGAw2pP+NyGoYpFFTm19Tkx2FEOjqUEuNN9ploXWyyp403YmfVmV1P5yq/Znq7KHvfhV9IoLBF70V8A8by6S5mmQEfzykgrR9J9WvWfJIRG2k0fvXiKyOQRo1NbUjzQMA6PJoQVq7LLTeTSYNABxu4JZ3Ac98Awg+V/tz1Uk2J2F/+qtICje6b7gD8A8C4SrKHZthcIi3T2XSAA4PIaK20sj9a0TNgEEaNTV9kTWAfCYt3DaZNC1Ic1UZpAFqZ1qTjeN/4NllvCz7Q4T2/RfA5VPTKg1k0lwOG5x2Ye1yRym1csc+Fah1H2ZfGhG1lUbuXyNqBgzSqGltJNJYj6cLMmkqY9I+mTR9cMgugrSufcB1PwWc/lzTjON/+MFT2CeCCPzEz6gr/INq8XM6UfGxXpfD2kFaMgzkMipAA1TJIzNpRNRmGrV/jagZMEijpqXvSDugB2n5nrQ2CdJSEbVXy+He3eNvew+QXAce/0Jtz1UH67E0uma+gYxwwHntnepK/7C6jC5XfLzPZUfUyuWO8aC69PSqy+GTwOqFpgmgiYiIqLYYpFHTmitYZA20aU+au1NNbNyNQy8C9t3YFOP4v/LYPF6LhxA/8DLA06Ou9A+pS4N9aTErDw6J6UFaQSYNElh6wrQjERERkXmaM0iLBYGls2afgkw2X7DIGgA6O7Ryx3bqSatmR9p2+jj+K08Bz32vdueqgx899ABGbUvw3/TTm1f6B9WlkTH8bgciVt6TFg+pS73cUR8ewr40IiKittScQdoP/hL4xMuBXM7sk5CJ5kJxdDhtCPhcAACn3Qavy95mmbSuvT3HiTcD3oClx/GfXw7jqivfhoSAuPb1mzd0auWOhsbw2xGzck+aHqTpmbSu/erncplj+ImIiNpRcwZp3n5AZtXQAGpb+mRHUVDu19XhbJ+eNL3ccS+cHWoc/9NfA0IzNTlWrf3TI3O4w/YjpA++GPAPbN7g7QcgjAVpboe1e9L0ckc9kyaEyqYxk0ZERNSWmjNI8/Wry9iquecgU81pi6wLdXkc2IhbOGNSS7UI0gA1jl/YLDmOP5PN4eFHfoRrbM/Ddf1dW2+0O9RSbqOZNCv3pOmDQzp6Nq/bdxJYfhLIpMw5ExEREZmmOYM0b0BdRlfMPQeZai4Ux4GebUFau2XSXHvoSdN1HwCOvgZ45t/3/lw1dv+zK/iJ+IPqF9e9Yecd/EOGBod43RYfwR8LAu5uFXjqhk8CubTqGSQiIqK20pxBWj6TxiCtXUWSGazF0vnJjrrODkd7BWm1yKQBqgcqbr3y4X965Hm8wfkwcvtvBroP7rxD55DhTFrU6oNDvL1br9t3o7rkvjQiIqK205xBmlcL0hqRSfvMfwXu/+P6vw5VZT4/fn97uaOzfcodU5HaBWkdParH00Kj+EPRFM6eO4frcR62695Y/E5+g0Ga24F4Ootszjq/vy3iwc2hIbq+qwGnj31pRERkKdPT0xgdHYXNZsPo6Cimp6fNPlJLclS+iwU1KpOWSQLPP7Q5RY4sY27b+H1d25Q7ZjNAOmZoumMkmcHyRgJXDZQpjezoBrIpIJMAnJ7S92ugf31sAa/CQ+oX1/1U8Tv5h4DIspr0aiv9mZPPpf6pi6ez8Lst+M9eLLg5NERnswHD1zOTRkREljE9PY3x8XHEYup92OzsLMbHxwEAY2NjZh6t5TRnJs3hBlydQLTOg0PW5wBIIHKlvq9DVdu+yFrX5XEgnMhAWigjVBepsLo0sCdt6r6LuOuvHiz/PenoVpeJ9RocrjbufWQOb/acBgaPA/1Hi9/JP6T6tvQR9iV43XYAsG5fWjwIeHp3Xj98Erh8hutGiIjIEiYmJvIBmi4Wi2FiYsKkE7Wu5gzSAMAXqH8mbW1WXUaX6/s6VLW5UAxuhw39fteW67s6nMjmJGJWHrdeC0k9SKtc7jgXimEjkSk/gt5iQdpTlzewMH8J12fOAaVKHQHDC631TJplg7RYaGe5I6AmPKYiQOi5xp+JiKgAS9wIAC5dulTV9bR7zRukefvr35MW0oM0ZtKsZi4Ux4Fez5YdaYDqSQPQ+iWPyYi6NBCkBaNqhHswUmaUu0cb/W6R4SH3PjyHOxyPwIZc+SDN4EJrn1biaMngPZsBkus7yx0BlUkDgEUutSYi8+glbrOzs5BS5kvcKgVqDOxaz+HDh6u6nnaveYM0X3/jMmmJddWfRpYxvxbfUeoIqEwagNYfHlJFJi0fpMXKBGn6fi4LZNLS2Ry+9Og83tb5GNA7CgxdX/rO/iF1WTGTpsodI1bMpCW0wLhYJm3wOsDmYF8aEZlqNyVuuw3syNomJyfh9W59/+X1ejE5OWnSiVpX8wZp3v7696TpmTSA2TSLmQvFdwwNAVRPGtAOmTQtSHNVDtJWtQxaKFouSLNOueOTixtIRUI4nnhUZdG2ZUu3MBikefOZNAsGaTFtkXWxTJrDrQI1ZtKIyESlStlmZ2dLBl3sXWpNY2NjmJqawsjICIQQGBkZwdTUFIeG1IEFx5wZpPekSVn+TdxerM0CwgbInArSiu1pooaLJjMIRlPFg7R8Jq3Vg7QNdWkgk7YaVVngoKEgzfxyxyvhJF5l+zFsMg1c96byd3b71Zj6Cgut/fnBIRYsd4xrQZpecrrd8I3AM9+o7791RERlHD58GLOzs0VvKzXZj71LrWtsbIxBWQM0dyYtm9rMKNRDaFZNlgM44dFC5teKT3YE2qgnLWWsJy2WyiCRVpMBmyVIW42kcKf9R8j6hoEDt1R+gIGF1l5XE2TSipU7Amp4SGwFCC827kxERAWKlbjpSmXH2LtEtDfNG6TVe1daMqKeW3+TyHJHy9B3pB3oKZZJ08od2ZMGYLPUEajQk+ZwAw6PJcod1zbW8ArbY5DXvqHs7rM8Awut9emOEUtm0rT1AcXKHYGC4SHsSyMic+glbqUUy46xd4lob5o3SPNqQVq9+tLWn1eXB2/VXodj+K1C35F2qEi5Y2fblDvqPWnl96StFmTPyvakASqbZoEgzX7lKXhECo5jrzb2AANBmr4nLWbFwSHxCpm04esBCA4PISJTjY2NYWRkpOhtxbJj7F0i2pvmDdJ8AXVZr0yaPjRk4DrV88Jyx/qJBVW/jUHzoThcDhv6/e4dt7kcNnic9tYvd0yGAacXsK98WJoAACAASURBVJdvKw1GkwVfN0eQlo5oH7z4Bo09wD9UsSfNabfB5bCV3xVnllhQTXAslRV1dwJ9VxkfHhJdBR7+26r+ThERGVFtdmxsbAwzMzPI5XKYmZlhgEZUheYN0vKZtDoFafr4/d4RwD/Acsd6WX4S+MjVwBfuNvyznAvFcbDHA5ut+BCFzg5He5Q7GhkaopU7HujxIFSu3BFQgysssCdN6tnxUuV/2/kH1Z6xdLzs3XwuuzV70uJBwNNbfijIvpPGMmlSAv/ybuCr7wWe/2HtzkhFCSH+RgixLIR4osTtQgjx50KI80KIx4UQNzf6jES1xOwYUeM0b5BW75600KzKVPgG1H8sd9zpK78OPPPve3uOhUfV9MynvwZ8/CXA09+o+JC5UAwHipQ66ro8ToSTbZBJMzTZUQVmx4b8W0ofi7JIJg0JrUfL02vs/vmF1uX/jnpdDmvuSYsFS5c66oZPAmuXNvvXSvnRp4EL31Zfn/9Wbc5H5XwWwB1lbr8TwDHtv3EAf92AMxHVFbNjRI1RkyCt0qeJdeHyqUEH9cyk9RxWn277Buv3Os0qFgQe+Sxw5t69PU/wglpz8O7vqIzIP/4c8K+/pga3lKB2pBWfMgWo4SFtkUmr0I8GqBJHl8OGg72e5ulJS6whB7E5cbISowut3XbErDo4pFLWcJ82POTymdL3WXkW+ObvAkdvBw7dBjx7qnZnpKKklPcBCJa5y5sA/L1U/hNAjxBiX2NOR0StaHp6GqOjo7DZbBgdHeVy8BZWq0zaZ1H+08T68PUDsToNDgnNAj0jm69T4VP6trP8pLpcPb+351m9oILh/S9UgdpL3wuc/nvgEy8FLv3njrvHUhmsltiRpuvyONujJ81guWO/z4U+nxtr8TSyuTJ9ShYI0nI5iY7MGpKOTsBmN/Ygw0GaA1FLljuGDGTSblSXpSY8ZtPAv4wDzg7gTX8FHH0tsPgoe2nNdwDA8wW/ntOuIyKq2vT0NMbHxzE7OwspJWZnZzE+Ps5ArUXVJEgz8GlifXgD9clwSakyab1akOYfVGWVOQt+Cm+W5XPqcvXC3gYUBC8AfVerrx1u4LUfAN71NVUC+bd3At/6AJDZzADNh/QdaWWCtA5n6093TEUAd1fFu61Gk+jzu9DndUJKYL3c96WjRwVpJg6cWIun0Y0o0k6DWTRgM0gLXy57N5/LgZhVB4d4K5R2+geAzn2l+9Lu+yiwcBp4w5+q8s9jt6vr9dJHsjQhxLgQ4mEhxMNXrjCwJqLiJiYmEIvFtlxXak8dNb/m7UkDtExaHYK0eAhIbhRk0gZV0FCpH6SdLJ1Vl8n13QfKUgKrF4HA1VuvH/m/gP/+feCmMeCBPwY+/WpgSQWFc2sGgjSPAxsJC2ZMaim5YSiTFoym0Odzo9fn0n6dLH3njm5AZjcXZZtgJZJEL8LIdhjsRwPUvwPCZqAnzY6oFXvS9MEhlQyfLJ5Jm3sEuO8jwMmfB07cpd33RtVLy740s80DOFTw64PadVtIKaeklLdKKW8dGBho2OGIqLkU20dX7npqbg0L0urySaG3vz570ta0P+w92t4PfUgJSx43LZ9TY8OB3Zc8Rq8AqfBmJq2QuxN4018CP/8PwMYi8OnXAOGl/I608j1pKpMmW3kEeTIMuCv3pOnljgGfWlcQjJbLpGnZKxNLHlciSXSLqPGhIYAqi/QNAJEKmTQrljumYkAmUbncEVB9aSvPbJ1imYqqaY6d+4Cf/PDm9TYbcPVrgPPfZgWAuf4VwC9oUx5fDGBdSrlo9qGIqDkV20dX7npqbg0L0urySWG9MmmF4/cBVe4IcAy/TkrVk3bkFerXuw3S9Mdtz6QVuvb1wM/dA6RjwPzDmAvF4LLbMFBkR5quy+NEJicRT7fom1MpDfekqUyaC70+Z/7XJVkgSFuNpNCLMOz+QHUP9A9V/BDFkoND9Oy8kXUDwydVplPLKgMATv2eKhn+6b/eOWjl2GtVlm7h0dqdl7YQQvwjgB8AuEYIMSeE+CUhxHuEEO/R7vI1ABcBnAfwKQD/w6SjElELqHZPHTW38ptwrc4bUG/eUzHAVTqzUjV9kXW+3FELKhmkKetzqtzumjuB5+7bQ5B2QV32XVX+fvtOAhDA5TOYC+3Dgd7SO9IAlUkDgI14Bl5Xc/8RLyqTBHKZikFaLJVBPJ1VPWlauWPZXWmeHnVp4q60lUgSPSIK126CNAM9aZYbwR/XWnmNZtIA4PJjwMFbgGe/pUbuv+RXgSP/Zef9r3oVAAGcP6XuTzUnpXxbhdslgF9p0HGIqMXp6w4mJiZw6dIlHD58GJOTk1yD0KJqNYJ/x6eJtXjeiuq1K21tVn0qrb9p1YO0Fil3vP/ZK/jamT1U3OhDQ4ZvAPqO7D5IC15QJZN6MFyKywcEjmpBWhwHekr3owGqJw1A6054TIbVZYXBIfoi64DPhV6v3pNm7UxaMBxDl4jB1dlf3QMNZNK8LgeSmRwy2dweTlhjMS1IM5JJ6xlRP6PFx9XjvvwrwMB1wKt/t/j9fQHgwC3sSyMiaiHcU9c+ajXd8W1Syn1SSqeU8qCU8jO1eN6KvNobuVpPeCwcvw+o/hibo2UyaX986hl87JtP7/4J9KEhg9ep4EnPiFVr9QLQOwrYDWS7hm8ALj+O+VCs7NAQoDCT1qpB2oa6rLAnTQ/IAj43Opx2eF12ywdp8Q31d9lmJGgp1DmkFs7nSgdgPrca6R+zUhlsPpNmoAdPCFXyePlx4KvvU+tH3vxJNXa/lKO3A3MPbwaDRERE1BSaf7ojUPtdaYXj9wFtofWAehPY5LI5iacWwwjF9hDALJ8Dug6qN/WBq4Hgxd0NJwheLD40pJjhG4C1S0hFQpWDNI8WpLV8Jq18ueOqNsmxz6+yaH0+V/mF1h1a5tjEIC2xrv1drjZI8w+pEtB46WDE51YfBliqLy1WRbkjAOy7EZh/BDj3JeBV71e/LufYawFI4MJ39nRMIiIiaqzmDtK8Wt9KLTNpUqrpjttL8HwD9dnJ1mDPrUQQT2cRiqXKLzYuZ/lJYOi4+jpwFMgmVZ9aNaRUQVq5oSGFhlU/znXiUtnJjgDQ1aGVO8Yt1n9UK/qI/EpBWkG5I6CCtGC5njS9fDJhXk9aVv87ppcaG2VgobXXpTJplupLq2ZwCJD/e4BDLwZe+uuV77//hSoAZMkjUVOYnp7G6OgobDYbRkdHuaSYqI01d5BWj560yJIaid07uu21BlqiJ+3sgiqVkxJYK/eGvZRsGrjyNDBYEKQB1felhRfV0JdKQ0N0wzcAAI7bZipm0jq1csdwm2fS8uWO2iTMXm+FTJrdAbg6Tc2kyZgWtBjNLOkMLLT2aUNkYlYawx8PAU6fWuRuxNHXAMffpMocbfbK97fZgatfrYK0MqWgRGS+6elpjI+PY3Z2FlJKzM7OYnx8nIEaUZtq7iDN3QXYnLXNcOV3pG3LpPkHW6In7ZwWpAEVJv2VsnoeyKWBoRPq1/kgrcq+NCPj9wt1DiHuCuC4mK2YSevUM2mtutC6iiDN5bDBp2WQ+nwurJYL0gBVwmpikGZPVJlZ0nXqmbTSH6To5Y5Rq5U7VvN79fUDP/v3Oz9EKufo7erfrstFFmETkWVMTEwgFottuS4Wi2FiYsKkExGRmZo7SBOi9rvS8uP3ty0G9A2oNzpNviD57MIGhDa9Xi+Hq0rh0BBAZTBc/uozaXpQpwd5Bix6juGEfRaDneWzDh1OO9wOW+sPDqkQpK1EUgj4XBDaD7xiJg0wNUiLp7LoyGq/t2qWWQOAT9tlWGahdX5wiKUyacHqSzurdfQ16vL8qfq+DhHtyaVLl6q6nohaW3MHaYCa8Bit4eCQtRl1WSxIyyQ2sxhNSEqJswvrOHlATfHbVSZt+Rwg7ED/C9SvhVDZsGqDtOAFwO5WA0gMOm87gmNiHrZc5eCry+Ns4cEhxnrSgtFkfj8aAAT8LkRTWSTKTTf09Ji2J20lkkSviCAn7BXXC+zg9qsPC8pk0vSdeZbqSYsFqy/trJZ/UA0YOf/t+r4OEe3J4cOHq7qeiFpb8wdpvkDtM2m+wZ3Lsf3aJ/VNXPK4uJ5AKJbGy4+pvW8VS9+KWX4S6D+2tYcmcHQXmbSLaseazfgfwTPZw3AiA6xUXh/Q1eFo3cEhyTAgbICzfNlnMJrK96MByO9KWys32dPETNpqNIUeRJBxdSOf7q2Gf6js4JDNTJqFyh3joepLO3fj6GuB5x8ydVE5EZU3OTkJr3frv+terxeTk5MmnYiIzNT8QZq3v8Y9advG7+v0ISVNHKTpQ0NeelT9XoK7LXfUh4boAkdVL18mafx5gheMj9/X/CC2X31x+UzF+7Z2Ji2sBnxUCGT0ckddn08NVKm4K82kIG0lnESPiCDXUWWpo84/BITLBWl6T5qFgvd4AzJpgBrFL7PAxe/W/7WIaFfGxsYwNTWFkZERCCEwMjKCqakpLismalPNH6T5+mu7J237Iuv86+g9L8074fGc1o928mA3Ot2O8uPYi0mGVRA7VCRIgwSCzxl7nlxW3TdgcLIjgEQ6i9ORANI2t7EgrcPZwj1p4YqljoAKxgrLHfVM2m6DtI/8+1P41H0XqztrFVajSfQiArHbzFJn+Uya16kyaZYZHJLLNS6TduBW9bNlXxqRpY2NjWFmZga5XA4zMzMM0IjaWPMHad5+NUihmixOKdmM2vdVNJOmSgRNzaRJCaSiu3742YV1HOn3wed2oM/vKv9mvZjlp9TljkyalhEzWvK4Pqd2q1WRSZtfiyMHG8Ld11SRSbNQxqSWUpWDtHgqi3g6i4B/a08agPLBeUcPkFwvupz8y48u4MuPze/uzAasRFLoERE4/IHdPUGFckeH3Qa3w2adwSHJdUDmqh+Ssht2B3DVq1RfWpMPPyIiImoHzR+k+bQ3dLXIpm3Mq5Kgopk0C5Q7Pv4F4GPXAomNyvct4uzCBo7vUwMZer27CdL0yY7bgrS+KoO0YPWTHedCcQBAZuB6NUq8whtN1ZPWvpm01aj60CJQJJNWdsJjR7f2Glv/jOVyEksbCcysxCDr9CZ/JZJEn4jAvtvMkn9InTsVK30XtwNRqwRpsaC6bES5I6BG8YcXNye0EhERkWU1f5Dm1YOnGvSl6TvSimXS7E71ZsrMIO3Cf6g3oSvPVP3QtVgK82txnNiv3oQHfLsJ0p5Ui3e3B7GeHpVpNBqk5cfvG8+kzYXUG2/XwRtVOd7682Xvr/ek1SugMFUyrKYZlqGvV+jzbQ4O6fY4IYSBckdgR8ljMJZCOisRSWZ2N3DGgNVICt0iuvvyP32hdbmSR7cdMauUO+pDPBpR7gioIA1gySMREVETaP4gTc9w1WLC41qJHWn51xowtydt4bS6XHm26oeeW1SZkRP7tUyaz8DOrO2Wzqr9aMUmMgaOGl9oHbyoJhN27jP80vOhOBw2gc7Rm9UVFUoeuzqcSGclEumc4ddoGgYyaXogVtiT5rDb0O1x7ipIu7yeyH89s7L7ktty1iNheJHY/d4wIwutXQ7rjOCPNziT1rUPGLqeo/iJiIiaQPMHaflMWg3KHUOzarR596Hit/sHzcukJTY2g7NdZNLOaZMdj2tBWsDnwmo0ZTzTJKXakaYvsd6uml1pqxeAvquqGrM+F4pjf48H9uETAETlIM2jJvmFW3HCYzJioNxRBWL9BT1pANDndZXvSdMDpG2j2guDtOfqFKSlw3sMWvKZtNILrb0uu3VG8Ovljo3KpAEqm3bpB7sumSYiIqLGaP4grdaZtK4DqrSx1GuZFaQtPgpAC6hWq8+knV3YwFCXG/3a3qxenwvJTM74G9bIsur7GzpR/PbAUSC6bGx8e1AL0qowF4rhYK8HcPnUaxnIpAFozTH8yXDFZc+rEdWTVphJ039tqCdteyZtYzNIm10t3fO1F1n9g5Y9lzuWyaRZqSctn0lrwOAQ3dHbgVwGeO6+xr0mERERVa35g7SOHkDYa9OTVmr8vs43CERMCtLmtVLHQ7cBK1Uujoaa7Kj3owGbb94N96WVGhqi04eAVCp5zGaA0ExV/WiAyqQd7PWoXwzfoIaHlNHZoTJp66220DqXU9MdXeV70oLRFFx2G/zabjBdb6VexDLljjYBHOrz4LnV2mfSsjmpxtEDuw9avAH1b0G5hdYuh3V60mJBAGLze94Ih25TO/bYl0ZEZDnT09MYHR2FzWbD6OgopqenzT4Smaj5gzSbTX3yXqtMWrGhITr/gBqbXYtx/9Va+LHqlTt0m+rpKjIivZREOosLV6L5fjRgc+qf8SDtSXVZLpMGVA7S1mbVJ/lVTHZMpLNYDidxoMerrhi+QQ152VaSV6jL06KZtFREXRoodwz4XRDbSkr7vC6Eyo7gL51JG+zswNUD/rr0pK3FUuiB9nvbbbmjza76RsNlyh3ddgv1pIVUeanN3rjXdLiAq17BUfxERBYzPT2N8fFxzM7OQkqJ2dlZjI+PM1BrY80fpAGqL22vmbR0Qo2nLptJM3FX2sJpYP/NQP8xtWNMn0RpwNOXw8jm5JYgrddnYGdWoaVz6vevl5du13sEgKjclxbUliFXsSNtYU2N39/MpJ3UzvREycfkyx1bbQy/wSBt+yJrnZ5JK9mL6OpUfZmJrQHw0kYCQ90dGA34MLMSrfnUTH1HGoC9lf91DlUcHGKZPWnxYOOGhhQ6eruajnrl6ca/NhERFTUxMYFYbGs7QSwWw8TEhEknIrO1RpDm69/7njR9pHu5TJpvUF02esJjdEUFZQduBgLH1HVVTHg8u6BPdtwsq8pn0iJVlDuWKnUEAGcH0HOocpC2i/H78zuCtBvUZZm+NH1wSMsttE6G1WWlTFokWTRI6/M586P0i7LZVL/btkza4noC+7o6MBrwIprKYsXonxuDViPJzUzaXgZp+IfKDg5RPWkWKnds5NAQXX4U/7ca/9pERFTUpUvFP3wvdT21vtYI0ryBvWfS8uP3jWTSalBaWY2FH6vL/TcD/S9QX1cxPOTswjo6OxybQQ42M2llS990uSyw/FTpUkdd4KiBTNoFla3Rv5cG6Jm0/T3a+TuHVMBcLkjbZSbtifl1PDFvYPiJWYwGadHUlkXWOn1vWiha5vvS0b0jSFtaT2C4uwOj/T4AwEyN+9JWoin0igikzaXWM+yWv1ImzY5UJod01gKrGeLBxg4N0fUcAgauZV8aEZGFHD5cfP1Tqeup9bVGkObr33tPWqjCjjRA9aQBaophI82fBiCA/TcBvoB6Y1dFJu3c4gaO7+va0p/U6XbAaRfGFhOHZoBMvHwmDdjclVauFG71AhCobvz+8obqARzo3FzMXGl4SIfTDpfDVnVP2u99+Ql88KvnqnpMQyW10ekGyh0DfveO6/t8KngtW+a6LUiLJDMIJzMqSAuoIK3WY/hXI0l0IwLp6a3qz8YOepBWomfTqw1SscTwkFjInHJHALj6NcDs99UgHyIiMt3k5CS83q0fUnq9XkxOTpp0IjJbawRp3n7VhL+XNxxrs4DdVX7Bslk9aQunVQZNf2MeOGZ4J1k2J/HUYnhLqSMACCHQ63UZK3dc1oKWIQNBWipcvhw0eKGqfjQAuBJJoqvDgQ5nwYCF4RtUdi9T+vxdHU5sVDnd8VIwZu0+tmTlnrR4KotYKlu8J82rD4wpM/ymo3vLUBZ9R9pwVwcO9nrgsAnM1jqTFkmizxaB2Gv5X+cwILObO8i28bnUnyFLjOGPm1TuCKi/y9nUZgUBERGZamxsDFNTUxgZGYEQAiMjI5iamsLY2JjZRyOTtEaQpg+ziBd/Y2ZIaFYtsbaV+Za4fIDT19gx/FKqTNqBmzev6z9meKH1cysRxNPZLUNDdH2+CouNdUvnAAhVIlWO3mdWKoDMpFRvXRWTHQGVSRvs6th65fANQC4NrJQeftDlcVSVSYtrvVZhK/exGSh3XNUCsOLljnqQVub74unZkklb0nakDXV1wGG34VCfFzMrtd2VthpJod8e23uQ5tf7Rov3pfn0TJrZQVompYbAmJVJ0/8O6oN8iIjIdGNjY5iZmUEul8PMzAwDtDbXGkGaN6Au99IrVmn8vs4/0Nhyx4159Xr7C4K0wFG1CyqxUfHh+tCQ40WCtIC/ws4s3fJZoHdUBanl5MfwlwjSQjOAzFW9I205nMBg57bSPX3CY4W+tGqyYvNrKvCwzIj2YvQgzVU6SNN/psXKHfO9iJV2pRUEaYtaJm1ftwqURwLempc7rkRS6BORvfdo5RdaF9+V5nOrTFrE7HJHfSec14SeNGAzm20wI09ERESN1RpBmp5J20tfWqVF1vnXGmhsuaO+xHpLJs348JCzCxtwOWw4Orhz+XGv11X+zbpu6VzloSGAykTaXaXf+AW1yY5Vljsuh5M7g7TA1YDDU2HCo7Oq6Y7PB9WAkmgyU/MR8zWTz6SVXmat9xkWK3fUexHL96QVz6QNa0HaaMCH2dXajuFfiSTRXdMgrfgHKV6X3pNmciCuZ/3NGBwCqH8z3V2V9xoSERGRKVojSPNqQdpuM2nJsHrTZCST5htsbLnjwmnA5gCGrt+8rl8fw1/5U/BzCxu4ZqgTTvvOH3XA56o8OCSdUMFVpaEhgFrK23dV6Td+uxi/L6XElXCRckebXfXVlM2kORCuotxxLqQyaZmcRDJjgel/xaTCgN0NOHZmyXSrWp9hsXJHvRexYiYtHQWy6nu3uB5Hj9eZ7wk80u9DNJXFlUjtlrqvRhLozG3svUdLD9JKLLT2a+WOpo/h13vmzCp3FEL9PQwySCMiIrKi1gjS8pm0Xe5KCxkYv6/zNziTtvBjlcVyFgQpvUcAYa+YSZNS4uzCetF+NECVvq3H0+XHka88rUoUB68zdt5yY/iDF1SWpoo34huJDJKZHAaKlO7lJzyWyOh0eaobHDIXiue/tmxfWjJsYLKjCp76/DuDNEBl2MoG5x096lLLpl1eT2K4IEgeCajpU7XsS4tFw3DK9N4zSy6vyhCVzKSpQNP0njQ9k2bW4BBAZbSZSSMiIrKk1gjS9E+jd5tJW9MWBRrKpA2ossoSI75rSkoVpO1/ofZLqQZhOFzqrBWGhyyuJxCKpUsGaXqmZS1WJtu0pE92NFDuCGifzl8s/v1ZvVB1P9qVsCq1G+wqEaQl1jcXkW/T1eGsanDI86HNoMOyfWnJcNlSR0CVO7rsNnRqWaPtDGXSgHyQtrSRwFBBkHakxrvSYqkMXCmtv7IWmSX/YMXBIab/fPWeNLMyaYD6u7j+PJCpXUaUiIiIaqM1gjS7Q30Cv9uetPwi69HK9/UNqsxSiRHfNRW8qN4oa0ND/s+P5/GiyW9hZiWqxvBXKHcsNzQE2BwiUXZ4yPJZVV5ntI8scFRNXdQD30LBi9X3oxXbkaarMDyks8OBVCaHRNpYQD0XisOmreiKNHEmbTWSQp/PtWUvXqE+f4WpnvkgTY3hX1xP5IeGAMCBHjWGf6ZGw0NWIyn0Cq3XrhY9Wv7hypk0sweHxCySSZM5NdCHiIiILKU1gjRA9aXtNpMWmlWj9Y28YdJLKxtR8rhtaMjTS2Ek0jn82befVX1pwQtArnSp4rmFDQgBXDtcPEjrMxKkLZ0DBl6gAmEj8hMet5VRpePqU/tqx++HVZA22Nmx88bB4wBEySCty6MWNxvNps2F4hjVskSmZ1pKSUZUOV8ZwWiq6NAQXZ/RTFp8DalMDqvR5JZMWn4Mf40yaWpoiPZctQha/IMle9L0wSGm70mLB9WQHae38n3rpdTfVSIiIjJd6wRpvv7d96Tp4/dLZB620PcwNWIM/8JpNcFwQPWDLa6p0r8vPTqPJdchIJMoWeoHAGcX1nGk35cv8dou4FPZqfKZtCeNDQ3JP2mJMfzB57Tbqy131IK0YuWObr96vlJBWof6fRvpS4smMwhGU7hOC2itG6RtVM6kRVMIlOhHA1QGdS2eRjZXYjqjZ7MnbTmcgJTYkkkDgNGAF8/VqCdtNZJCL2qZSRsqmUmz2wQ8TjuiZv98Y0FV6mjk35x6CVylLjmGn4iIyHJaJ0jzBvaWSTMyNARQ5Y7A3nayGTV/Gth3Mp/FWlyP49rhTvhcDnzuWe1N+Erp4SFnFzZwYn93ydt7fSrTVLL0LR4CwgvVBWm+AW209/YgTR+/f5Xx54LakeZ2lO6vyg8PKaKaTJo+NOTaYRUARZLGe9kaKhkGXOV70oLRZNHJjro+rxNSAmulfu4FPWn5Rdbbg7T+2o3hX4kk0aNn0mrRo9U5pKZgpopn+nxuu/nTHeMhc0sdARUQe/o44ZGIiMiCWidI8/XvridNSuOLrPXXAUp+Ul8z2Qyw+NiWJdaL6wlcO9yJX3rZEXz+ovamucSEx7VYCvNrcRzfV7o0rterlTtGSrxZr3ZoCLA52nt7kLaL8fuAtiOty12yvwrDN6j+t/jajpu6OrQgzcBCa338/rXa96v5e9JKj+jPL7Q2EKRdXleZzOFtKxCO9PsQS2Xzmc69WI2m0FPrTBpQcqG11+WwwJ60kLlDQ3QBTngkIgKA6elpjI6OwmazYXR0FNPT02Yfidpc6wRp3n5VQlSmR6uoWBBIRYxn0jy9am9ZvcsdrzwFZOL5frRcTmJpI4F9PR788suPIOMJICp8JTNp5xbV0JBSkx0BwGm3oavDkR/ZvsOyFqRVk0kDtDH82974BS+on1FH6cxe0SNsJIv3o+n04SFLZ3fc1O3Ryh0NBFzPB7UgLZ9JMznTUkoqUjZIS6SziKWyZcsdN8tcSwSvTq/6M55Yw+K6yjBuL3ccCajevedqMDxkJZLEoCOmXtdZ5mdtVIWF1j63w/xMWiwIeE1aZF0ocFQN9CEiamPT09MYHx/H7OwspJSYnZ3F+Pg4AzUyVesEab5+QGbzE+kMW5tRl0YzaUKokr56Dw5Z0IaGaJm0HELQUQAAIABJREFUlWgS6azE/u4OdHY48Z5XHsUz2X3YmH+y6MPPLVQO0gAg4HcjWGoE/9JZFVR17a/u7IGjqlcuvbl3DKsXq86iAcCVSBKDxSY76oZvUJdF+tKqy6TF4XbYcLBXTS60ZLljJqX6EMsMDtH3n5Urd8yXuZbqRRRC7UrTyh3dDhu6tdJR3REtSJtd3Xtf2kokhSFnrHaZpQoLrX0uC/SkxYPWyKT1XQ1szAOp2u28IyJqNhMTE4jFtv47GIvFMDExYdKJiFopSPPqUxerLHnUR8UbzaQBKkiL1DlImz8NuLvzPVz60JDhbg8A4B0vGcW8/SDSS88U7Qs6u7CB4a4OBIotgS7Q63WWyaRpQ0OqHW4QOApAbg4LAVQmrcrJjgCwvJEoPn5f5x9SP49iQVqVPWkHez0QQsDf4bBmuWMqoi7L7ElbjWiLrMv1pBmZ6tnRDSTW8+P3t5eb7u/pgNMu8FwNJjyuRpLot0VrU+oIAJ3D6rLUGH6zM2lSaoNDrJBJ03pEmU0jojZ26VKRtUFlridqhNYJ0nwBdVltX1pI35F22Phj/IONyaTtvwmwqR/R9rIzj8uO/VffgEBuBT94cmbHw88urJfcj1aoz+cuXvYmZfWTHXV6xkzvS0tGgPBi1UNDEuksNhKZ8pk0IUoOD3E7bHDZbQgbKXcMxXCoT41D97sdCJudaSkmqS18LlPumM+klZvu6K3Qkwbkg7Tti6x1DrsNh3q9NdmVthpJodcWrV35n6dPlWuWWGjtd9vN7UlLRdQuQbMHhwCbH5xweAgRtbHDh4u/Byx1PVEjtE6QtutM2qz6RLujckCTV+9yx3RCDe04sHVoCADs7/Hkr7vhxlsAAPd+87tbsmmJdBYXrkQrljoCqiyuaCZtfQ5IrgNDuwjS+rYFafqn9Lsdv1+uJw1QQdqVp1Q5YAEhBLo8DsPljgd71ffW77ZoJi2pZ9JKB2n6EJhAmcEhHU47vC575UxafA2XNxIY7i7+/R/t92GmBuWOq9EkumS4dpklm01NYS03OMTMTFo8pC4tUe7IMfxERJOTk/B6t+6t9Hq9mJycNOlERK0UpOlTF3eTSaum1BHQyh2XVbapHpbOqk/at012dDts6PVu9gY5h64FAGSWn8Wpc5tvSJ++HEY2Jw0Fab0+F0LR9M6SyfzQkComO+o6ulQZoj48JD9+v9rJjiowHSi2I63Q8EkgmwJWntlxU1eHs+LgkI1EGuvxNA72bmbSTF92XExSm4BYLkjTAq++Mpk0QJU8ll1o7emBTKxjaT1ZOkgL7H0MfzYnEYym4MuFaxu0+AeBcPEgzeeym7sHLxZUl1bIpLk7tb+rLHckovY1NjaGqakpjIyMQAiBkZERTE1NYWxszOyjURtrnSDNq5U7RqtcaF3N+H2dbwDIJjffNNdafmjICzevWovv7A3quwpS2HCLbwV/fOoZ5LTlxGfzQ0MqT1IM+FxIZXM737Tq0xIHr93d7yFwdPPT+dXd7UjbzKRVCtJKDw/p9DgrZtLmtR1ph/Qgzao9afqfN1fpIG0lmoTTLkrvldP0+Vz50siiOroh42tIZXM7xu/rRvu9iKWyWN7DGP5QLIWclPBkNmrbo+UfKp1JczsQMzMIj2tBmhUyaYD68ITljkTU5sbGxjAzM4NcLoeZmRkGaGS61gnSHG419a6aTFoupwaHVJtJ8+sLretU8jh/WgWC3QfzV11eT2Bft2fr/RxuiJ7DeM3gBp66HMZXHl8AoPrROjsc+fK9cnpLDZFYfhLoOrD7N86Fu9KCFwH/cNmBF8Xob/7LDg4BVEDo8JSY8OioODhEH79fWO7YrD1pwUgKfT5X6b1yml6vq3JPmvZ628fv60ZrMIZ/NZKCH3HYZKa2maXOoZKDQ/xuB9JZiVSmynUdtaJn0qwwOATgrjQiIiILap0gDVDZtGp60iKXVZncbjJpQP2CtIXTqtSx4I22PmVvh8AxHMg8j2uHO/Gn33oWmWwOZxc2cHxfV8U36sDmqPadQdq53Q0NyT/xURUwx0PqDeCuJjsmYRPl+6sAADa76p0rMjykq6NyJm1Oy6RZvictZaAnLZqq/P2CyqRV6kmzZZNwI1V0cAigFloDwOweJjyuRJLoEdrvq9aZtOgykNvZe+Z12QHAvDH8ek+aFcodARWkRZeBxMaWq+Op7J5KWYmIiGj3WitI8/VXl0nLT3YcrfJ1tCCtxCf1e5IMA1ee3jI0JJuTuLyRwL6eIm+W+49BrF7A/3v7UTy3EsU/PTKHpy5vGCp1BEpk0rJpdYbdDA3R6UHZ6kVt/H51pY6A6knr97thtxlYAaBPeNz2prLL46jYkzYXisPjtOdH0/vdDvP3aBVjoCdtJZoqO9lRV7EnraMHANCFaMmetH3d2hj+ld0PD1mJJNEDPUirZU/aECBzQGxn+bPPpUpBa9l3+CvTp/Enp3b2RBaVHxxikUya3iu6reTxj77+JF7/5w8gm2OgRkRE1GitFaR5+6vrSdN3pFWbScuXO9YhSFt8DIDcMjRkJZJENid3ljsCQP8xIBPHaw9mcOPBbnzo355EIp0zNDQEKJFJWz2vBpfsNZMGqKxg9ErVQ0MA1ZM2WGloiG7/zUBifcfwECOZNDV+35PPPPo71B4ty705zfeklS4bDUaTZXek6fp8LkRTWSTSJaYcdqggv8cWw0CJXXsOuw2H+vY2hn81kkKvnkmrZWapzEJrr1tl0mo14fHZpTD+7cwipu67iPVSi+ELxYKqNNvurHzfRsivzNgM0qLJDP759DyuGe409iFJmxJC3CGEeFoIcV4I8dtFbn+nEOKKEOJR7b9fNuOcRETUfForSPMFqsukrWmZtO5D1b1OfkhJlZMkjZjXhoYUZNIW1rbuSNsicAwAIFbP43/+12vyvVQnDhgL0oouNs5PdtxDkNY7Cggb8My/a+esPkhbDidLBgg7jL5MXc7cv+XqLo8TyUyudDACffz+5uhdv7v2mZaaSIZVgGYr/dc2GDFW7lhxV5qWSTvsTcNhL/16RwI+zOyx3DFgq0O5Y5mF1j7951ujbOm9p+dgE0A8ncXnf2Rg8WncIousdX07F1p/6dF5RJIZ3P3iKj/AaiNCCDuAvwJwJ4DjAN4mhCj2j+YXpJQ3af99uqGHJCKiptVaQZq3XwVORvsoQrNqoIWzwh6u7exOVZpVj3LHhdNA9+HNlQLY3JFWMpMGACvP4uXH+vGiI33ocNpw9YCxIR1elx0uh21rkLZ0DhB2oP8Fu/5twOFWC8L1oGkXmbTlcLLyjjRd31VA535g5oEtV3d1qDfk5RZaz4ViW4asdGqPsVxfWjJcttQxkc4imsoaLHdUWZySfWlaJm3EWz4zNBLwYXY1tuvepdVICvtd6s93zUfwA0UXWufLHZN7z6Rlsjn8y+l5vPraIbz4qj78/Q9mkclWGEgSs1iQ5vQAXQfzg36klPjcD2ZxfF8Xbj7cY/LhLO1FAM5LKS9KKVMAPg/gTSafiYiIWkRrBWm+flWml9yofF8ACD1Xfamjzj9Yn8Eh86eBAy/cctXmIusiAYt/SI1kX3kWQgj8+c+/EJ9914vgLJP9KCSE0BZaF2bSnlSZr2qD1+0CR4GM9ga870hVD83mJFYjVZQ7CqGyaTMPbAnSuzwqGCk14XE9lkY4kcmP3wc2My2m7tIqpkKQpo/UN1LumM+kRUsEYR715nx/R/nx+kf6vYins1ja2N0Y/tVoEvtc8S2vWRN6uWORMfz5wSE1yJTe/+wKroSTeMstB/Gulx7B/Foc3zxXfPR/XjxonaEhusBV+XLHR2ZDeOpyGG9/yYih4UNt7ACA5wt+Paddt93PCCEeF0LcK4SosmyDiIjaVWsFaV4t+2SkDDGdAOYf2dL7VRXfQO2DtFhQlWBuO9PiWhwdThu6PUV6WIQA+o8Cq88CAIa7O/DiqwJVvWyvd3uQdnZvpY46vS+t+5D6tL4Kq5EkctLAjrRCR16ufiYFfWldHVqQVqIv7fnQ1vH7wGa5oyWDtHL9aBHjQZqebQuWLHdUmbRhV/nga1Sb8LjbkseVSAoDjljte7ScHsDdXXShtR6E12JX2r2PzKHX68Srrx3E7dcN4VCfB3/74HPlHxQPWWdHmi5wND845J7/nEWn24E33bTf5EO1hK8AGJVSngRwCsDfFbuTEGJcCPGwEOLhK1fqNDWYiIiaSmsFaXqJYJGJbjvMPaSyPFe9YpevNVD7cseFnf1oALC4kcD+bk/pT7X7XwCsnN/1ywb8rs0368kIEJoBhk7s+vk2n1gL0qpcYg0U7kirIpun96U9d1/+qi5P+XLHzfH7m5m0Zi13XI2q71m/gXJHPZMWjBQPwqJCfT8GnImyz6PvStvt8JCVSBL9tkhts2g6/2DRTJrPrY/g31u541oshVPnlvCmmw7A5bDBbhN4x0tG8aOZEM7MrZd+YMyCmbS+q4F4CKtXFvG1M5fxM7cchNdVfiE6YR5AYWbsoHZdnpRyVUqp/yX7NIBbij2RlHJKSnmrlPLWgYGBuhyWiIiaS2sFadUM9Lj4PdV3NfLS3b2Wb6D2g0Pmf6wu99205erFtXjJMegA1PCQjTkgtbs3ylsyaVeeVpeD1+3qubae6+qtl1W4YnSRdaHeI2oBd0FfWj6TVqLccU7LpB3qK8ykqcdYLpOWipQP0vKZtMrfs26PE0IAwRLTCC/HgIR0os9efrz+/h4PXP8/e28eJdd9l3k/v9r36qrqRa3eqrXYkrxItpU43mOSkARIQgYHJ2mSEMKIMAQOMDATUF4GOIiBGeYlwzkMZ3QGmLyZhmwExxkChoTYjuNVliXb8iapdy1dXdVd1bWvv/eP3721L/fWXt3fzzk6pa66VXV7Uaueer7f59FqsNikkxaIpOBk0c44S/Y91YNDDO0JDvn2+atIZXN46I5C6fxPv20KVoO2tpuWy4oU0r5z0sS/0ceffhapbA4/847pHp/QQPACgIOMsVnGmAHARwE8WnwAY2y86MMPAni9i+dHEARBDDA7S6TlnTQF4mnxCeFYmZSlIFZgGwGSITE22S6unhWCq+ycRJF1nXHBYbmTrDk3raTY2HdBXLZj3FEOHhm+UfVdfWHxdVU17lhlLy2/kxav7aTZjLqSUVLZaelPJ632z+umip00nVaMz9bqSrseSiAEKxyoL9K0GoYptxnLTXSlxVIZxNNZOPh2Z4I0bKNVg0PMenknrTUn7RsvruHwuAM3TxQ6CR0mPR66YxLffvlq/me4hHgQAO+v4BAgH+xz4dWXcNc+Dw6M1n4zgBBwzjMAPgfgMQjx9TXO+QXG2O8zxj4oHfYrjLELjLHzAH4FwM/25mwJgiCIQWNniTSlO2mJbRHQMdvkqCMAWOWutDbuD1w5WzHqmMnm4Asnq4eGyHgKCY/N4LEaEE5kkMrkRLKjzixcqVZxTgKf/BZw+ydU39W33YSTBgDe+4RIlxxBJU7apKt0lNTer05achsw1t5JC0RT0GtZPtGyEW6LoeZO2vVQAtvcChtv7JB5m4zh94fFc1uy4c6M/9mqO2kaDYPVoEWshe/vW+thnF8LlbhoMj97zyzSWY75Z6vE8cc3xWW/jTu6vOBMA2d8BZ+4i2L3lcI5/w7n/AbO+X7O+Snput/hnD8q/f23OOc3cc6Pcs4f5Jy/0dszJgiCIAaFnSXSDBZAb2m8k7b8NMCzwOz9zT+XVdobaJdI274q3vUvCw3ZkIqs64877gfAmnbSXNaizizfa8DoobpdXKrY907AYFV9t41IEk6zHibJ9VBMWV+aSa+BXstqB4dslnakAUVOWj+JNM4b7qTJRdZKE/ncVkNtJ207gW1YYMqGGz6Od1iItJzK8m+/tENnSndo/G9oWoyInv9qxU0Wo66ldMe/e3ENOg2rGq4xO2zFjxwaxfxzy0hmyty6+Ja47LdxR50BG9oxHNb78J4jY70+G4IgCILY9ewskQYUutLqsfgEoDMBU3c2/zy2Njtpy0+Ly4nSvfKrQSl+v964o94MDE215KQB0ric7zVgtA2hIS3i206qG3WUcXlF55Mk0hhjcJj0VZ00znlFRxogRgHNem1/ibR0HOC5hjtpSvbRZFzl1QtFXA8lENPYoE3WCcCQ8A5bkUjnsF5tvK8OgUgKGuSgS4U6M/53+yeFs/rIZyuEmtWgbTo4JJPN4ZsvXcGDh0YxXKNs/dP3eOGPpPDt89dKb4jJTlp/jTuuBGJ4PTWCo5aA4voOgiAIgiA6x87739jqabyTtvCEEGit9IDJ+2/tEmmvfF2EXpSJtOtykXW9cUdAjDwWRc+rQXbSwoGr4vMZa8M+Wov4wgn1o45A1b00u0lXdSctGEsjmspWiDRAxLTXK8DuOknJ0WrQk+ZRsI8m4y6vXiji+nYCab1DhFw0YDaf8KhuL80fScKOGBh4Z8b/DBbg418T4UBlQs1i0DUdwV/cjVaLew8M4+CoDX/9w8XSom953LHPnLT555exzPdgJL1W0jNIEARBEERv2HkirZGTFtkQ4RjNRu/LyDtp7Yjhj/qBS98FbnmoYszwWkhExI87GvSMDR8UZbRNvMCSX9hnrr8mrmhHaEiL+MJNOmmA6EuLBYANsf7hMFd30lbzyY6WitvsJl1/OWmySDPUG3dM5fvPlOCyGrAVS5WKCInroQRyRmUibcYjvn5q99ICkSRcTPq8OhWkUUOo2Yy6pp20b7y4BrfVgAdvHK15DGMMn75nFheubuOFpa3CDbKT1kfBIYl0Fl97YRWGsRugSUXaXy1CEARBEIRqdp5Isw7X30lbfEJczr6ztecxWESxcDuctFe/CeQywK0frbjpajABi0Gb7/uqiecAkI6K3TaVyE6abkNKh+6xSOOcC5HmaNLpzPeliZFHh0lfdSet0JFWKYDFi/h+Emnb4rLuuGNSUbKjjMdqQDrLq4rR69sJaMxDQqQ1EP5yDL/arjR/JIW9BmlEspPOUhWhZjFqm9pJK3Sj7YVBV//X54dvm8CQRY+/eqoojj++Kao/TM7ad+wy33nlGrZiadxyq7QPK5VaEwRBEATRO9oi0hhj72OMvckYu8QY+3w7HrNpLJ76TtriE4DRCew9VvsYpViH2yPSXv4qMHZL1THD69txjDtNjcMg5Lj7gPq9NJfFAMYA89ab4utnq+0QdINtKWmyaSdtaAZwTuX30hxmHbarjC7KHWnlwSGAEGl9FcGfiojLGiItkc4imsqqGnd0Fe8iFpHO5uCPJKGzuETAjvzcNdBqGKY9FvVOWjSFabMs0jrsLBULtb//Bbwz8f2mRHi1brRamA1afOzt0/jn165jdVMaBY1vic9VYbhLN/jys8vYN2LFkZtuE1cESKQRBEEQRK9pWaQxxrQA/hzA+wEcAfAxxljvrBjrMJCJ1y52XnhCOC0alamBVZ9rtPXRIP8l4MoZ4Nafrnrz1WCDjjSZ4eZj+LUahiGzHkORi8JF6/ELyA0pgKKpnTSgsJe2/EMgl6vppK1uxuEwlXakydhMOoT7ykmrv5MmCy1PjSCLarit+pL7yvjCSXAOGB2Su6Vg5NHrsajfSQsnMS47ad2IpJeFmvdefHL9P+O++L+qfgi5G+2mvcqcsE+8YwaMMXz52WVxRWyzr+L3X70SwksrQfzMnTNgQ9OARk9OGkEQBEH0Ae1w0t4O4BLnfIFzngLwFQAfasPjNke9rrStJSC43Po+mox1pHGSZCNe+RoABtzykao3XwsJJ60h9nExftlkwqPbosNofKHno45ACx1pxXgLe2kOs75qCIhIdqx00QDJSUtWj+3vCQpFmppxR5elqHqhCDmsxqpKpKmP4Q9Ek9ijl95M6daOliTUlm234Xcyf1Y1nr8W9brRarF3yIz33bwHf/v8inDu4pt9FRoy/9wyTHoNfuqOSUCrE+moTVZ5EARBEATRPtoh0iYArBZ9vCZd1xvk1MVqCY+LT4rLVkqsi7GNANEWnDTOxajjvgcAx3jFzWmpyHp8SIGTxpjoS2ti3BEADpm2YOSJPkl2FCJt1N5C+ma+L+0pOEw6xNNZUdZdxNpWvOo+GtBasERHaCDS/BHxNVOV7pgfdywVo7JIsw9J/5biwYaP5R22IplRF8MfiKQwoosDYN3d0TJY8MiRP8VzucPgf/8LwPmvKLpbvW60evzcPV6EExl88+waENvqm9CQUDyNR166ig8dnSi4yZ79QGChtydGEARBEET3gkMYYycYY2cYY2c2NtoUW1+NvJNWJTxk4QnAtgcYubE9z2UdFW5NrskX86vPC3fv1oer3iyPnSly0gAphr+5d8GPaK+Iv/RBR9qGLNIcLThprhnAOQ0sPQmH9AI0XJTwKDrS4lWTHQEx7thXO2kdcNLkY8sLra9vC6HlckuF7QqdNABYVBgeksnmsBlLwc0iQqC1Y/xYBQazDZ9O/SZy3vuAR/4dcPn7dY9X0o1Wi9unXTg66cRfP70EHu+fccdvnl1DPJ3FJ+6aKVzp3g9sLgC5XO07EgRBEATRcdoh0q4AmCr6eFK6rgTO+WnO+XHO+fGRkZE2PG0NrB5xWe6kcS6ctNn727dzZR0RBcNyrLZaXv4qoDMDhz9Q9eZrQSl+X6lIG74BCK0CKXW7QQBwACviL6OHVN+33fjCCZj0GtiNDRItG+G9F1j6IRxGIQCKw0MC0RTi6eodaYBw0lLZHJKZPnHTkmFAoxMl7FVoZifNZtRBr2UIlIm09e0EjDpNwUlTItKGpRh+hXtpW7E0OAecCPdEtNiMOiRgROiD/1v8u/n6p+q+waGkG60Wchz/wkYUuehmXzhpnHN8+dllHJsaws0TRS6mZ7/Y6Q1fq31ngiAIgiA6TjtE2gsADjLGZhljBgAfBfBoGx63OWrtpPleF6OJs/e377lskthsZuQxkwIufBM49OM13ZFr0tjZXiXjjgAwfAAAb2rxfzqziFU+Am6wqb5vu/GFkxixGxsnWjZi9j4gvonxlIhALw4PKcTv195JA9A/bloyLHYOa3xN/JEU9FoGh0m5sGWMwWUxVDhp10IJ7HGawMxD4goFIm2v0wyDTqM44TEQFW6pLRfuyY6WxSCEexRm4ONfEQL4bx8W6YtVUNKNVo8fu2UcQ4YstNl4Xzhpz1wOYGEjik+8Y6b0Bs9+cUl7aQRBEATRU1oWaZzzDIDPAXgMwOsAvsY5v9Dq4zaN0Q5oDZVOmtyP1q7QEEA4aUBzMfyX/kW8IDxa2Y0mIxdZ71Ez7gg0FR4ylljEG7kpbMd7L0p828nW9tFkZu4BAIxvnQGAkkJrORJ9yl3bSQPQP3tpyTBgdNS8eTOalKoU1Albt9WAzbLgkPVQAmMOU+H5Eo130jQahmm3RXFXWiAintOcDfXEWbLK399URoRlPPx/gK1l4Os/C2RL/w2o6UarhUGnwRGn9LPUB8Eh33vDB6NOgx+/tWwX1i2JNEp4JAiCIIie0padNM75dzjnN3DO93POT7XjMZuGMeGmle+kLTwBuGaBoen2PZdVelc90oRIe/mr4jz3PVjzkGuhBGxGHRymyoj4qjT7LngmhaHYMt7ikxUv2HuBL5xoviOtGNcMMDQNl+85ACgRoLKTNlHDpbRJjlS4XxIeU5G6Rdab0ZSqUUeZqk6a1M0HrU64dwqcNKCQ8KgEOejEmN7uibOUd9JkET5zN/ATfwosPA489lslx6rpRqvHDQ7p69wH446L/ihmh60w6ct2AR0TYqSWutIIgiAIoqd0LTikq1g9pU5aNiM6s9rpogGFJEm1447xIPDmPwG3PCReCNfgWjCh3EUDAIMVcEyqd9L8b0HDM3gzN41NaQytl2yEk+0RaQDgvQ/Wa8+BIVfipK1txTBk0cNeQwDb+27ccbuuSAtEU6qSHWXcNkNJTxrnHOvbSexxSD93JqdikTY7bMFyIKYoht8vOWm6RG/SDmWnNJYq+v7e/gngrs8Bz58GXvjL/NXfPn8Nh/bYFXej1cJrEf+2eB+ItCVJpFWg0QDufSTSCIJoG/Pz8/B6vdBoNPB6vZifn+/1KRHEQLAzRZpluHQn7epL4kVuu6L3ZcwuUf6qdtzxtW8B2WTNVEcZxR1pxQwfVB/D73sdAPAGn6qIY+82iXQW24lMax1pxXjvgyaxhRvZWslO2upWHFM19tGAwjhcpF8KrZNhwFh7XzAQSalKdpRxW0rHHbdiaaQyucKbA6YhxSJtxiNi+OV0yHoEIkmYNFmwVK920uRx1rLv73t+Hzj4o8B3fhNYeAKxVAZnV7bwwI2thx1NGoV7G9bUHlvtBulsDiubseoiDRAijcYdCYJoA/Pz8zhx4gSWl5fBOcfy8jJOnDhBQo0gFLAzRZp1uNRJW3xcXLYzNAQQo5XWEfXjji9/TeyP7b2t7mHXQgnsdSoMDZEZOQT43lCX8Oi7AK7RYZGP99xJ22hHR1oxXrGXdrf29QonrVayI1AYd+wvkVZ/3LEZkeayGhCKp5HJisj1/B5ksZOmoCcNQP5Fv5K9NH8kCa9V+n70ZCetbNxRRqMFfuovxZsdX/skXnnlJWRyHPfsH275OceNQrxeSdZ+c6AbrG3Fkcnx2iLNs19UgzRbLUIQBCFx8uRJxGKlr0disRhOnjzZozMiiMFhZ4q08p20xSeBsVsK44ntxDqszkkLrgDLTwFHH65bBZDK5LARSaobdwSAwz8hIrTf+L/K77P+GrjnINLQ9dxJ80llyCOtdKQVMzQNDM3gXt1r+Z00zjmu1CmyBorGHftGpNXeSUuks4gkMxi2NeOk6cG5KDYGRPw+AIw51Y87eqUX/YsK9tICkRSmzdIbAj3ZSasy7ihjcgAf+wrANNj/L5+BWxvDcW/rQnJYEwEALMfVf5/aiSyia4u0A0A2Jeo8CIIgWmBlZUXV9QShlN0wRrszRZrVA6TCQCbXjcY1AAAgAElEQVQJpOPAynPt30eTsY2q20l75evi8paP1D1sfTsBzoG9QypF2vTdosT53N8ov4/vdWjGboJJr+kjJ61NIg0AvPfhOF5HOJ7MP0cyk6tZZA0UOWl9s5NWO92xUGTdRHCIXGgtjTzKtQ/jTYi0cYcJRp0GL682Pt4fTWHKLI1FylH/XSSf3pmq4Ra5Z4GHv4yhxBr+yvoXsLSha3uIRRDnBqxs97YoeqGRSHNTDD9BEO1herp6WFut6wlCCbtljHZnirTirrTV58T+V7v30WTUjDtyDpz/KjB9l4j9roO81zOudtxRoxGx/guPA6GKTvFKEttAaAUYPQyP1VhRbNxtfO0edwSA2fvgQATOsNjVW813pNX+2pr1WmhYB520+BbwxVuAlWcbH5vLAumoSFqsQkGkqXdoPJKwkyPx10MJaBgwIidFmpXvpGk0DD91xyS+cXYNr13drnusP5zEXn1ceo7uO2kmvQaMVdlJKyI0eie+kP45HEu9CHy/9dBaYyqEELNjdTPe8mO1wqI/AodJV/vnJZ8Su9C9kyIIYkdy6tQpWCylb4haLBacOtXbIHBisNktY7Q7U6TJY40xv4je1+hExHZHnmtEjDvyxol2uHYe8L/ZMDAEAK4GxQs51cEhgNS9xkXMfyOk0BCM3QS3tTKOvdv4tpPQsOYER02kvrSZ8FkAYh8NqF1kDYiiZ6tRh3CnnLTAghh9ffM7jY9NhsVljXFHWVg3M+7osop0S9lJu76dwIjdCJ1W+tVgcgLJkOL9pP/w3hsxZNbjC4+8UjPlkXOOQDSJUb30C7YH446MMVgNuro9eM8uBvCV7IMI7n1A3fhwLWKbiGkdWN1SsS/aARb9UcyO2Gp36tnGxBsCFB5CEESLzM3N4fTp05iZmQFjDDMzMzh9+jTm5uZ6fWrEALNbxmh3pkgrdtIWnwAmjtdNxmsJ26hw6pL1nQMAIjBEawBu+smGh+bHzmr0eNXFsx+Yegdw/iuNxaPvNXE5egQua2kcey/whRMYthmh1agrZa7L0BQ2dOM4FD8HoNCRVs9JA8ReWj2npSXkPcYrZxsfmxK7TLVEmjyi2lS6o3QfeRfxWihRCA0BhEgDlP18AxiyGPDbP3YYZ1eC+OqZ6jtNsVQWiXQOHo20u9ajSHqLQVt9J03imcsBmPQa2CYPC1dayRsx9YhvIWUYyv/89YolfwyznjrhJYxJMfw07kgQROvMzc1haWkJuVwOS0tLJNCIltktY7Q7U6TJTtrmgojfb3eqY8lzSdHcxZH/1chmgFe/IeK9FbwovR5KwG7S5XdnVHPsY8K1u9pABPheE++aO6fgsRp6XmbtCycx2q7QkCKWbLfjpswFIJfD2lYMHqshHx5RC5tJ17lxR3mP8epLjV2qRk6aNKroaWYnzVK6k7a+ncBYNZGmcOQR8S38m6MjuHPWjT/6xzcQiFTuOMrn62JRgGlr7tp1Gpux/vf36ct+vM3rhm5oSoybJpSlXNYkvomcyYW1rRh4q4KvSRLpLK4E45gdbvCmlWc/daURBEEQfcluGaPdmSLN4hGXr30L4LnOhYYABZEWaRAesvg4EFmXRhEbczXYREdaMTd9GNCZgHN/W/+49deA0cOARgOXxYDNSG9FmiiybuM+msRV13E4EQHWX8Vag2RHmUYv4ltCdtJSEcD/Vv1jFYw76jQMDrN6QW/Sa2E1aPPC6VooUfpzZ5JCPZSItFwO+It7wP71D/AHP3kzoskM/vA7b1QctiEJNwe2xRsWdVJOO4nFqEWsRnDIRjiJt9YjuHv/MOCcEFcq2fGsR2wTWqsbiXQu/zXoNktS8ubsSI3QEBn3fjGOm+1t2itBEAV2Q5odQShht4zR7kyRZhoS79AvPQXozMDk2zr3XHknrYFIe/lr4rwO/qiihxUvlpsYdZQxOYFDPy7cu0yNF4ScCydt9AgAwGMzIJrKIpHuXT+SL5xsb7KjxOaI+BnILv4Aq5sxTNZJdpTp6E5acdjMlRfrHyuPGtYad5SKrGvuGDXAZTVgK5ZCLJVBOJEpxO8DBSdNSVda4CKwfQV4659wcMyOE/fvw9+dXcNzC4HSwySBYs2Ge7KPJmMx1B5nfUY657v3ewDHpLgytNb8k+WyQHwLRof4fdGrkUc5fn9frWRHGc8BgGeBreUunBVBEI3YLWl2BKGU3TBGuzNFmkYjuWkcmLkL0LX/RX8e26i4fPYvgG/9EvDIvwP+/heBb/4C8M0TwN/9PPCNzwCvPSq5W8rO5VoooT5+v5yjHxMpgm89Vv32yDoQ38yLtPLRt26TzXEEIkmMdECkaYamsJQbQ2bhSVwJKnPS7B0dd9wQCZ9GpwKRVn8nLRBNthS04pZ2Ea+Xx+8D6sYdV58Tl/63gO1r+OUfOYhJlxlfeORVpDKF2Hk56MScCfVsHw0QTmktJ+3pS37YTTrctNdRcNK2WxBp4WsAz8I8MgMAWN3sTXiIHL/vbSjSKIafIPqJ3ZJmRxBEgZ0p0oDCXlqnovfzzzMiQjq2loDL3xdpkktPAStPixeta2fE3pF7Fnjbzyt6yGQmC38kiT2OFpw0ANj3oEhqO19j5HH9grgcEyJNfqEf6NHIYyCSRI63uSNNwmHW4Qy/EezKWaSzvG6yo4yt08EhtjFg4jYFIq3xuKOniWRHGZdFOGmySGt6J231eYBJv1IWn4TZoMXvffAmXPRF8JdPLeYP80s1C/pUqCfx+zIWg7bm9/fpywHcOesRKZe2MZEQ28q4Y1CEqDj37APQOydtcSOKEbux8a6r3JVGCY8E0RfsljQ7giAKNJlKMQDIe2md3EcDAI0W+EwNp6pJfNviRex4q06aVgfc+tPC5Yv6C8I1/0RS/P7oTQAKIq1XTprckTbSgZ00h0mPV/kwdHE/tMhiStFOmr5zZdbRDZGgN3Ij8MP/LkrX9TXOSRZpdXrSplzNF0K7rQZc3ojku/lK0h3NKnbS1l4A9r8LuHJGpKoefRjvOjyGHz0yhv/+vbfwE7eOY8ptQSCagt2kgya+Bey5penzbhWrQYdolXTH1c0YVjZj+Nm7veIKjRaw7xWjnM0SEiLNNOzFsG0lXwPRbRb90dol1sVY3EKgU3gIQfQF09PTWF6uHD/eaWl2BEEU2LlOmn2PGKXac2uvz0Q1ckfa3lZ20mSOfhzIZYBXvlF5m+814RJYhaAtxLH3RqRtyEXWHUh3tJv08PEhaJCDB9sKnTQtIqlMzb6vlohuCNE8cYf4/lx/pfaxDZw0eSetWeRxR7n2YU/xuKPBDoA1TjaMbwEbbwDTdwLe+4DFJ/OR9f/pgzdBwxh+79vCufVHkqIsO77Z2500oxaxKj1p8j7aPQeK3tRwTrTopEnvdjsnMeGy9KzQeikQxaxHgUhjTOylkZNGEH3BbkmzIwiiwM4VaQ/+NvDxr4t3wQeMqi+Wm2XsCDB+FDj/N5W3rV8QyY4Snh6LNF9YfN4jts6MO65zsf80xraUpTuadOAciLU7SCWXBWIBwDoqRBpQf+QxFRYBOFp9xU3JTBbhZCb/vWsGt9WAWCqLlUAMDpOutJpAowFMjsZO2pp0/pNvF+51aFVUYACYGDLjV999EN993Yd/vnBdjPJaAaRjPd9Ji6YyFXH4z1wOwGM14IaxIufSMdHaTlpoVbj7BiumXOaeOGmheBr+SKpxsqOMm2L4CaJfGNQ0O0qkJIjm2bkizb0PmOpgqmMHkUVay8EhMkc/Dlw7L+L2ZXJZYOPN/KgjADjNemhYD0Xatjzu2AGRZtLnRdpBSwQmfWPxbjMKUdT2vbTYpqiGsI4Ix9cxUV+kJcN1iqzF98rd4k4aALx+fbt6oqjJ2VikrT4n9tEm7ijsgS4+kb/50/fM4sYxO3730Qu4EoxjyiQljvZQpFkMOuQ4kEgXQk0453j6sh937feUpmU6J4Dtq6JmoBlCa4BzCgAw5bbgSjCObCcc2jrIyY6Kxh0B4MHfAj717Q6eEUEQahi0NDtKpCSI1ti5Im2AuRaKw2nWNyxbVswtD4ngg2I3bWsJyMTzoSEAoNEwuCyGfPpet/GFk3Ca9YoElFoc5lKRpgSbSXz92x7DL3ek2aT6honbRcBMLZJhwFh9H62VImsZt1WI0Teuh0vj92VMQwqctOeBsZvEeXoOiB2uxSfzN+u1Gpz68M24GkpgdTOOvUbxRkQvxx2tRvFzVryXtuCPYn07KfrRinFMAtlU4XunluAqMCRE2qTLjHSWY13aAewWckdaw/h9Gfc+EXhEEATRBJRISRCtQSKtD7kaTLRWZF2OdVj0s738NSArvSCVkx2Lxh0BqTOrhztpnUh2BACrQYst5kCOM3gNYUX3sUsJeG2P4Zc79eSOvYk7gK1F4bBVo46TJgvqVtMdASCVyWFPtX1Ak7N+T1ouK0Tm1J3iY8bEyOPikyXO03GvGw8fF0Jl3CD9x91jJw1AyV7a05f8AKR+tGJaieHnXIw7OsWC/5S0D9nthMeFjSgYE04eQRBEp6FESmIn0s0RXhJpfcj17Xh7RRogOtMi68DC4+Jj3+sAGDBSKtLc1l46aYmOhIYAAGMMVrMJfjixV6ugmBmizBpA+xMeo37pCYpEGgBcOVv9+GQEMDqq3rQZFWODrQSHFAu8Pc2MO/peB1IRsY8mM3u/2LvzXSg59PPvP4Sjk07c7JbEWw8j+G2Sk1Yswp++HMBepwkznjIh45QLrZsID4ltiv27ocK4I9D9rrRFfxQTQ+aOONUEQRDl1EqepERKYlDp9ggvibQ+5FowUf3Fcivc8F7hWsgjj74LYpTJUPpi1G3pnZPmCyc7EhoiI/bShjDMtxQdb8s7aen2nog8MieLtPFjAFjtvbQ6TtplXxRaDWspCVR20oCy+H2ZRuOOcon1VLFIk/fSniw51GU14FufuxdHnJIw6gcnTRp3zOU4nlkI4O4Dw6X7aIAYdwSai+EPycmOQqTtHTKBMWC1y+EhiuP3CYIg2kC1REoAiEQitJdGDCTdHuElkdZnJNJZBKIp7G23k6YzAjc/BLzxD+IF9/prwOiRisPcNkNPgkM45/CFkxitJhLahMOsg4+74Mj4FR1vN8kirc3pjhGf2BE0SR1kJgcwcqiOSNuu2ZH24vIWjow7YDY07444zXrImqSqg2tuINLWXhCC0+UtetAJsZu28ET1+8QlodwXO2ni+/v69W0EY+nKUUdAnKfOJAJA1CIVWctOmlGnxZjd1NVxR845lvxR5ftoBEEQLSInUno8pb9TA4EABYgQA0m3R3hJpPUZcpjA+FCbnTQAOPYxIJMAzn9F9B9VEWkeqwFbsVRnusHqsJ3IIJXJdWwnDSg4aeaksvCHvJOW6ICTZh0R8fYyE3cIkcarfN1rOGmZbA7n14K4Y6Y1N0qn1cBpFuEhY1WdNCeQjgLZGl+H1efFPlq5+zR7P7D8w+r3i28CWgOg791+lDzOGpPGHZ+5LPrR7qom0hiTYvibcdIkkSY5aQAw5TZ3ddzRH0khnMzASyKNIIguMjc3B5ut8k1GChAhBpFuj/CSSOszrgYlkdZuJw0A9t4ODN8IPPknIgJ+rFKkuSwG5LjoVOomG3JHWodFmg8uaGP+QoBKHawdCw6RiqyLmbgdiPkLpcfFpCJVRdob18OIpbK4bXqo5VOSd9qqdvOZnOKympsW9QvBP1ml7mL2AXHuV1+qvC22KfbRyoVdF7EaSr+/T18OYN+wtXoNAdB8oXVwFdBbS0Y7J12Wrjppi2rj9wmCINoEBYgQO4Vul8qTSOszroXEC7eOiDTGgKMfLaQLVnPSpBCJboeHdLIjTWbvkBk56xgYeOFrUAeDTgODToNwR0TaSOl1tUqtM0kR/V5FpL20IkYGb59ufa/LbTHAoNPAZakszK4r0tZeEJdysmMxs/eLy2ojj/Gtnu6jAYBFGhGNpbJIZ3N4biFQ3UWTcUw2N+4YkuL3iwTplMuMa6E40tkme9dUInek7RuuPjZLEATRKShAhNgpdLtUnkRanyEXWdd8N79Vbn0YAAO0RsC9v+JmOURiK9ZlkRYWIm3U3rmdtH//ozfg595/l/ggfE3RfexGXfvLrKMbgHW09Lqxm8T3pFykJaW6gCoi7exKEKN2IyZdrf+sjNiNmBgyVwZmAIXduUSVVMzV58R+3d5jlbdZ3MCeW0pKrfPEt3q6jwYUnNJoKoOX10KIprKV/WjFOCeByHVFLmwJwZWSUUcAmHRbkOMiJKgbLPij0GsZ9g517t8XQRBENbrtPhBEJ+lmqTyJtD7jWiiOIYu+pSCIujgnRNLj3tsAbWVZtjz2JpckdwufNO7YqQh+QLwoHxqV3rkLryu6j82ka28EP+dApMq4o1YPjB+tjOFPbovLKiLtxeUt3D7tqi6sVPKb770Rf/pwFaEFFJy0al1pqy+I89bXEIqzDwghly4b7esDJ82o00CrYYgls3jmsgiTqeukOSfEmLBCgZ8nVCiylpGFdbcSHhf9EUy7LdBp6Vc+QRDdpdvuA0HsFOh/7D7jWjDRORdN5qG/Aua+XvUmWaR120nbCCdh0mvyBdIdwz4uLhW+0LYadO3dSUtFgUy8ctwRECOP186VOjXJiLgsE2kb4SRWNmMth4bI7Bux4dhUjd22WuOO2bRw/or70Soe+J1iXHPl2dLrY5s9F2mMMVgMWkSSGTx9OYDD4476fXPNxPAnI0KQljlphULrbom0KGZp1JEgiB7RTfeBIHYKJNL6jGuhRPvj98sxWEXsexXkF6ndjuH3hZMYtZva4grVxToCMA0Qvq7ocJtJh3A7nTS5I802WnnbxB2i9Hjj9cJ18rhjWQT/WXkfbab10JCG1BJp668KwTlVJTREZvouMQ5ZPPLIeV+MOwJChG/FUjizvFU9er8Y54S4VLOXJh87VLp7Me40QathWN3sfHhILsexFIhh38juDA1hjP2xkusIgiAIop8gkdZnXAvFqyfsdQmTXgurQdv9ccftZEdDQ/JotGIfTMVOWludtPIi62ImbheXxXtp+Z20UlF9dmULBq0GN+11tu/camGWd9LKRNrq8+KyWmiIjNEGTBwvLbVOx4BssudOGgBYjFr88JIfqUyusUhzSCJNjZNWJX4fELUH405TV5y0q6E4UpkcvJ7dKdIAvKfKde/v+lkQBEEQhApIpPURiXQWW7E09naiI00FLqkrrZv4womOdqSVYN8DRJTvpLU1OKSeSHPvEyEdVUVa6bjj2eUt3DThgEnfod3FYvQW4YaVB4esPg/Y94pAjXrse0DE8Ms7bXKRtbn3TprNqIM/koJWw/D22QbnY3IIsawmhl+uVCjbSQPEyONqF2L4d2v8PmPsFxljrwC4kTH2ctGfRQAv9/r8CIIgCKIeJNIacOL/O4MvP7PUlecqJDv2NoHNYzV0PYJ/I5zsrkhT6KTZ2u2kRaTo/2oijTGp1LooPCRVKdJSmRxeXgvhjjZE7yuCMTHyWO6krT0PTNXZR5OZvV8Ebiz/UHwc2xSX/eCkSQE9t0w4YTdVqR8oxzGhctxxFdDoAdueipsmXd0ptM7H7+++cce/AfABAI9Kl/KfOzjnPyMfxBhr+geRMfY+xtibjLFLjLHPV7ndyBj7qnT7c4wxb7PPRRAEQewuSKTVIZnJ4ruvr+OZhUBXnu9aULyr3stxR0By0roo0hLpLLYTGYw6uvR52/co30kztnsnTaQIVqQ7ykweB3yviYARoMhJK+ykvXZtG8lMDre3KTREEeUiLXxduERKRNrk2wCduTDyGJdEWp/spAHAPQcajDrKOCeBbRUiLbgqdtk0lb9qp9wW+MJJJNJZ5Y/XBAv+KCwGbffeBOkTOOchzvkS5/xjnPPloj+bZYd+r5nHZ4xpAfw5xOjkEQAfY4yVl09+BsAW5/wAgD8FQLtwBEEQhCJIpNVhdTOGHC8ULXca2Unb2+l0xwa4rYauBodshDtfZF2CfVyIpWy64aE2ow7JTK59pcPRDSF4dDU+14k7hOt07bz4OBkGwAB9wQU5uyzGBduV7KgI01CpSFOyjyajMwIzdxVKrfPjjr130uSutLr9aMU4J9SNO4ZWK/bRZKbc4t/5lWBnRx4X/VF4PdbOh/IMLs1+Yd4O4BLnfIFzngLwFQAfKjvmQwC+JP39GwDexegbQRAlzM/Pw+v1QqPRwOv1Yn5+vtenRBB9AYm0Oiz6xSjSRqRbIq0/nDS3pbsiTe5I655I2wOAF0YP62AzSYXH7Rp5jPqqjzrK7C0LD0mGxahjkRPz4soWJobMGOuW8wgIYVnck7b6nCjf3nOrsvvP3i9SK8PrReOOvXfS7CYdDFqNcsHrmARifiCtsIQ6WFukTUox/J0eeVz0RzG7+0Yd1cCbvN8EgNWij9ek66oewznPAAgBUGjbEsTOZ35+HidOnMDy8jI451heXsaJEydIqBEESKTVRd7l8G0nwXmz/48r52ooAbfV0J0wiDq4bQbE01nEU50dw5KRncqujWPJ+0EKRh5tktPStpHHqF+kS9Z8whER154XaZGK0JCXlre6O+oIVI47rr0gCtF1dXrFipl9QFwu/aCvnLSfv28f/ucn71D+b86pIuExkxK7j1VCQ4DirrTOOWmpTA5rW3Hs22WhIYMGY+wEY+wMY+zMxsZGr0+HILrGyZMnEYuVvlEVi8Vw8uTJHp0RQfQPJNLqsBgQIi2eziLaBcFyPZToeWgIIIJDACAQ7Y6DKDuVo/Yu7qQBQES5SGtbeEjEV3sfTWbijiKRtl3SkXYtFMfVUAK3T3ehH62YYpGWSYq0xnr9aOWMHxWPsfC4EGl6C6Dv/c/67LAVD95YRzSXoyaGf/sKAF7TSRu1G2HQarDawRj+1a0Ysjm+K+P3GWPfURjU0ez44RUAxd/cSem6qscwxnQAnAAqlpw556c558c558dHRuo47QSxw1hZWVF1PUHsJkik1UF20gDAt61wvKkFrgbjfSHSXBYh0raijXe22oFvOwmthuWLtDuOfVxcKkh4lMcdS0TaG/8AXH+lueeObtQfdwSESAuuAJGNwrijxNllMXLY1X00QHSlySLt2stANqVsH01GowW894lS6/hWX4w6NoVcN6BkL03uSKvhpGk0DBMuM9Y6WGi9uCHF7+/Occe/BvDPjLGTjLF60Z3vavLxXwBwkDE2yxgzAPgoRJJkMY8C+JT094cA/CvvxlgGQQwI09PTqq4niN0EibQ6LPmj+RE8Odyik1wLJTDe49AQAPDYuuuk+cIJeKwGaDVd2qe3DgNMo2rcsUSkfeuXgCf/q/rnzWZEsqGtgXMzcYe4vHq2QqS9uLwFk16Dw+OOGnfuECanKKBOx8U+GgBMKkh2LGb2ASE+r77UF6OOTeHYKy6VxPAHqxdZFzPpMne00HpJmgbYjeOOnPOvA7gdgAPAGcbYbzDGfl3+U3Rcedqj0sfPAPgcgMcAvA7ga5zzC4yx32eMfVA67C8BeBhjlwD8OoCKmH6C2M2cOnUKFoul5DqLxYJTp0716IwIon8gkVaDRDqLq6FEvuDW12GRFktlEIqnMT7UR05alwqtfeEkRh1djAfXaAHbmCInzS47afJOWmxTOEFby+qfN9Ygfl9m/KgQkWtngFTpTtrZlS3cOjEEvbbL/3RNTnGZCIl+tKFpwD6m7jH2SXtpvtcAy4CKNL0ZsAwri+GXhVydsu8pd2cLrRf8UbgsegxZuuRS9x8pAFEARgD2sj8twzn/Duf8Bs75fs75Kem63+GcPyr9PcE5/wjn/ADn/O2c84V2PC9B7BTm5uZw+vRpzMzMgDGGmZkZnD59GnNzc70+NYLoObpen0C/shwQ726/fdaN//vytY47af1SZA0AHqsQTIFId0TaRjjZ3aRCQOpKW294mLXcSdtcFJfBJkRaVAoEaDTuaLACo0fEXlqRk5ZIZ3HhagifuXef+uduFZO0AxcPivh9773qH2P4BhHaErk+uE4aoDyGP7QiPt9adQsQTtpmNIVoMpP/WWsnixtReHehiwaIomkA/y/EyOHtnPPON4cTBKGaubk5EmUEUQVy0mqwKO2j3To5BINW03En7VpQFmm9H3e0m3TQalh3nbRuF+3ax9WNO8pO2uZlcRnfAhLb6p4zL9IUBFVM3C5EWmI7L9JevRJCOsu7HxoCFESa74JwINWOOgIAYyKKHxjcnTRAxPArCQ4JrtbcR5PpdMLjoj+K2V0q0gCcBPARzvnnSaARBEEQgwaJtBrIuxyzw1aM2I0dd9IW/REA6IsUNo2GwdWlrrRsjiMQ6YFIUzjuaDVIEfx5J61oWkmtmxZR6KQBYi8tEQRSBSftRanEuuvx+0Bh3PHiv4jLqSZEGlAYedwVTlrtjjSZSZd4U6YTXWmxVAbXtxO7ch8NADjn93HOL/T6PAiCIAiiGWjcsQZL/ijcVgOcZj2G7cZ84XKnuOSLwGbUYaybu1l12DtkwvOLm0hmsjDqmuttS2dz+B/fv4xQPA23VQ+31Qi3VQ+XxQCPzQCXxYBUNocc72KRtYx9XOyIZdOAtnbwm0bDYDPqCmXWxSJtaxnYc4vy55SdNJsSkXa88HdJpJ1d2cKMx4JhWw9+RmSRdum7Ij5/7ObmHmf2AQCskLA5iDgmgGSoItSlhFxO7KQd/kDdh5pyS4XWHQgPWfKLx5wdtjU4kiAIgiCIfoNEWg0W/VF4PeIF1Kjd2JF3uou56IvgwKgNjHUp4bABv/buG/Dp//0Cvvjdi/iP7zvU1GN88btv4c+/fxlWg7Zhz9xItzrSZPJdaet1gx0AwGrUFsYdA5eFMLv+inonLeoDtAbAqCCZceSQEEPpGGCwgXOOF5eDuP9gg9CRTiGLtOiGiNLXNvmrY2gK+My/AKOH23du3aY4hn+0xr+NqE/UFDRw0jxWA8x6bUfGHeWRbe+wpcGRBEEQBG+dzH0AACAASURBVEH0GyTSarAUiOKeA+IF8YjdiLPSqFmnuOiL4J039E+J6YOHRvHTxyfxP5+4jB89MobbptWNpz23EMD/ePwyHj4+hT9+6FYkM1lsRdPYjKawFUthM1r4k8rmcG+3xYcs0sLXG4o0m1FXFByyABz5ILC5pD7hMeoXo45KhLhWB4wfA1aeBowOrG3F4Y8kcVsvRh2BgkgDgEkVJdbVUFOC3Y/IhdahtdoiTUH8PgAwxjDpMnfkTSB5ZLsfRqgJgiB2A/Pz8zh58iRWVlYwPT2NU6dOUSgK0TQk0qoQS2Wwvp3ErPTiZtRuxGYshXQ215Ho81AsjY1wEgdG+2ss6Qs/cQRPXfTj33/9PL7zK/fBpFc29hiKp/FrXz2HGbcFv/OBIwAAo06LPU4t9vRBeiWAIpGmpNBaL3bS4lui58y9H3DNNOGkKSiyLmbidkmk2fP7aHeoFMttQ28CdCYgk1BXYr0TkUV9vRj+0Iq4bBAcAoiRx044aQsbUexxmDqSGkkQBEGUMj8/jxMnTiAWE2+6LS8v48SJEwBAQo1oCgoOqYIcvy9HV4/YjeC8c5H0lzbCAICDY/0l0hwmPf7LQ0exsBHFnzz2pqL7cM7xhUdexXo4iS9+9Lb+fYEo70QpSHi0yztp8j6aex8wNKPeSYv41Im0SWkvzTyEsytbsBq0uHFPW+qdmkN201p10gYd+7josasXHqLQSQOAKZe5Iztpi/4IjToSBEF0iZMnT+YFmkwsFsPJkyd7dEbEoEMirQpL/kKyIwCMSvtSnUp4vOQTyY4HRnr4ArwG9x4cxtyd0/jLHy7ihaXNhsc/cu4Kvn3+Kn7t3QdxbKoHUfFKsQwDTKs4hj+SyBQ60jxFThrnyp8z6gdsCuL3ZQ59APjwaWDy7XhxeQvHpoeg1fRwZ9HkBDwHAKund+fQD2h1ov+sXgx/aFV8vUyN9w8nXRaEExmEYuk2nqQcv99fb/wQBEHsVFZWVlRdTxCNIJFWhUV5l6PISQPQsYTHi+sRmPQaTLh635FWjd/+scOYdJnxG18/j1gqU/O41c0Y/p9HLuBtXhd+8Z0HuniGTaDRSDH8jUWaVd5Jk500l1c4aemYEF5K4Fwad1Sxe6fVAUcfRiyTwxvXw7i9V6OOMrc+DNz52d6eQ7/gnBA7abUIrgLOaUUPNeWWYvjb6KYFYylsxdK7Nn6fIAii20xPV/+dX+t6gmgEibQqLPmjGLYZ80XGcodXp5y0i74I9o/YeuuS1MFq1OG/PnQUy4EY/vgf36h6TCabw69+9RwYgD99+Fjffi4l2PcAEQXjjiYdwom0SHZ0TAB6s3DSACCo8B2y5DaQTaobd5Q4vxpCNsd7049WzP2/Abz93/b2HPoFx0QDJ21N0T4aIJw0AFhro0hbLJsGIAiCqMf8/Dy8Xi80Gg28Xi/m5+d7fUpdo12f+6lTp2CxlI6YWywWnDp1qh2nSexCSKRVYckfw2zRLofcS+Xr4Lhjv4WGlPOOfR787N1efOmZZTx9qdI9+vPvX8aLy1v4gw/fnH/R2ffYx5WPOyYz4JsLYh8NEE4aAASXlD2X7LhZVYw7SpxdkUqspwa4AHqn4ZwUO2m1xl0VFFnLTEn/XlY32xceUojfJ5FGEER95MCL5eVlcM7zgRe7Qai183Ofm5vD6dOnMTMzA8YYZmZmcPr0aQoNIZqGRFoVFgPRkthqg04Dl0XfESctmszgSjCOg30u0gDgP77vEGaHrfjNb7xciKSHEBF/9q8X8ZPH9uJDxyZ6eIYqsY8pTHfUIcchxh3zIk0aX1AaHhLxiUs1444SZ5e3cGDUBqelduk20WUcE0AmLhI/y4kHhXOq0ElzWvSwm3RtddKW/FFoGDDtHpA3TAiC6Bm7OfCi3Z/73NwclpaWkMvlsLS0RAKNaAkSaWVEkhlshJMV70CP2I0d2Ulb2BDveB8Y7b/QkHLMBi3+5CO34loojlP/8DoA8fX61a+cwx6HCb//kzf3+AxVYh8HYgEgUz+102rUwY4YWMxfEGlGmwgfURrDH90Ql2qCQyDSMs+ubOH26T4OYdmN5AutVytvCylPdpSZclmw2sYY/gV/FFNuCww6+hVPEER9dnPgxW7+3In+ZyD/B09msvBHOjN6WJ7sKDNqN3Vk3PGiT8Tv9/u4o8wdM2782/v24W+fX8ETb23gdx+9gLWtGL740WNwmAbM6ZG70iLr9Q8z6jDDpLFIz/7CDS4VMfyySFO5k7boj2IrlsYdvd5HI0pxyoXWVfbS5Ph9hU4agLYXWotkRxp1JAiiMbs58GI3f+5E/zOQIu3PvncRd/7h98DVxJ8rZElOdvRUOmmdGHe86ItAr2WY8QzOWNKvvecGHBi14XPzZ/GNF9fwuQcP4G1ed69PSz02udC6/l6azaiDl0lCTnbSALGXptZJs6iLr5dLrHue7EiU4pALrauItGacNKnQuh2/0zjnWPRHK36HEQRBVGM3B17s5s+d6H8GUqTZjHpkcxyJdK7tj72UX7gv/Uc7ajfCF062XRhe8kXg9Vih1w7Ot8Kk1+K/feQoYuksjk0N4ZffdbDXp9QcspPWYC/NZtLBKztprtnCDa4Z4Zrkso2fK7oBmN2AVp3beHYlCIdJh/0jg+G07hqsI4BGXz2GP7gC6EyqXNMplxnxdBaBaP3RWyVshJOIpbLYN0IijSCIxuy2wIviNMeTJ0/iU5/61K753InBQtfKnRljHwHwuwAOA3g75/xMO06qETajFgAQTqZhNmjb+tiL/hjGHEZYDKVfmhG7EalMDtuJDJzm9o31XfJFcHi8//fRyjk6NYRv/dI9mHJZBkpglmAfF5cNxh1tRh28mnUkzGMwGYrE+9A0kEsLkSfvKNUi4msqfv/s8hZum3ZBMwiVBrsJjQZw7K3tpDknAab8ezaZT3iM5dNkm2WB4vcJglDJ3NzcrhAmcpqjHBayvLyML33pSyTMiL6k1VfXrwL4NwCebMO5KMZmEgIqmlTgYKhkKVB9TGgk35XWvvCQZCaL5UB0IEJDqnHzhHOwEwctHkCja+ykSTtpYUvZjLocw69kLy3qVy3SthNpvOXrgxJrojpyDH85QeXx+zJTbrkrrfXwkIu+CAASaQRBEOU0SnPczX1xRP/RkkjjnL/OOX+zXSejFJtRCINIItPgSPUs1Vi4l0VaO8NDFv1R5PjghIbsODQawDbWeCdNGncMmsrcMpdXXCrZS4tuADblIo1zjr94/DI4B97mJZHWlzgmgO0q446hVVWhIYAIDgGA1TbE8J9fDcJjNWBiyNzyYxEEQewk6qU57ua+OKI/Gcg5NZtROGnhZLqtj7udSCMQTWGmipM2ajcBQFvDQy6ui3e8B6Ejbcdi39PYSUMMI2wbfkNZB5xzEgBT6KQpH3fknOM//+Mb+IvHL+Ojb5vCO/apCxshuoRzEti+WrqTmI4LQe5UlwxmNergthraUmh9bjWIY1NDYCrGLQmCUEe3HBdydtpLvTTH3dwXR/QnDUUaY+y7jLFXq/z5kJonYoydYIydYYyd2djYaP6MURBp7XbSCvH7lUmLhXHH9om0S74INIzGknqKfRwI199JM24LEbauKxNpOqPYS2rkpGVSQCIEWBt3pOVyHL/76AWcfnIBn7xrBn/44VtoH61fcU4AuUyhqBwojD+qdNIAER7SaqH1diKNyxsRHJ2iXj2C6BTdclzI2SmlHYK1XpojdaYR/UZDkcY5fzfn/OYqf76l5ok456c558c558dHRtQHKBQj76RFku0VaYv5ZMdK0eQw6WDUado67njJF8G02wKTvr3hJ4QKbGMNnTS2uQAAuKIZr7xxSEFXWswvLq3DdQ/L5ThOPvIKvvTMMn7+3ln83gdvIoHWz1SL4Q9J/5mr3EkDRHhIqztpL6+GwDlwjEQaQXSMbjku5OwUaJdgrZdkSZ1pRL8x0OOO0TaLtCW/+GU4464UaYyxtnelXfJFBjY0ZMdgHwfim0CmzvdVEmmrGKu8zTUjItfrITstdcYdszmO3/jGefzt86v4pQf34+SPH6ZxtX4nX2hdtJfWRJG1zKTbjCtbceRyzdd8nFsVvXrkpBFE5+iW40LOToF2Cta5uTksLS0hl8thaWkpn+pInWlEv9GSSGOMfZgxtgbgLgD/wBh7rD2nVR+7Sd5Ja69IWw5EMe401Yz1F11p7Ul3zGRzWPBHKDSk18hdafVi+DcXEWBuBNKGytuGZoSTkqnTbxWVnDRb9XHHdDaHX/3qOXzz7BX8+ntuwG++9xAJtEHAIYm0EidtFWBawL5X9cNNuSxIZXMtufXnVkPYN2Jta00IQRCldMtxIWenQDcE627riyP6n1bTHf+ecz7JOTdyzsc45+9t14nVw6jTQKdhbd9JW6wRvy/TTidteTOGdJZTaEivkbvS6iU8bl7Gum5vdefWNQOAixfntYjKTlrluGMqk8Mv/81L+Pb5q/j8+w/hVwa1GHw3YnYBektpDH9wVewpatVXULaa8Mg5z4eGELsXCproPN1yXMjZKdAtwVrLZSOIXjCQ446MMViNurbvpC35o1X30WRG7aa27aRdkrqMyEnrMXZphLHeXtrmAvyGieo/b3JXWr3wkKgUlFMWHJJIZ/HZ//Mi/unCdfynDxzBZx/Yr+LEiZ7DWGUMv1xk3QRyV5ocYKSWK8E4/JEkbiORtmuhoInu0C3HhZydAoMoWOkNE6JVBlKkAWIvrZ0iLRRLYyuWrprsKDNiNyIYSyOZab1EWxZp+0mk9Za8k1Zj3DEZASLrCJqnqju3LgWF1tENQGcGDIU3AHI5jhNffhH/+oYPpz58Mz59z2yTnwDRU5yTlTtpTYSGAIDXI8YUX1jabOr+51aDAIBjU9Srt1uhoInu0S3HhZwdwaAJVnrDhGgHAyvS7CZdW8cdFwNSsmOdccdRKYbfH6mzf6SQS74IJobM+RAUokeY3YBGX9tJk0JDwpbp6juQ9nFx/3pOWmRDhIYU7Zm95Qvjybc28B/edyPm7pxp5TMgeolzojDumM2I/bQmQkMAQKthuHu/B09d9INz9eEh51aCMOg0ODROYUS7FQqaIHYygyRY6Q0Toh0MrEhrt5NW6Eirv5MGtKcr7aIvTC5aP6DRSDH8NXbSJJEWt01Xf1NAoxVuSiMnzVaa7Li+LX6Gjs+4mzptok9wTIrQmUxKCH2ebdpJA4B7Dw7jaiiBhSZGHs+tBnHzXgf02oH9tU60CAVNEER/QG+YEO1gYP83t5naK9IW/VEwVtgLqcao3QQA8G23lvCYy3Fc8kUoNKRfsO9p6KQlHV7E01lkq8Wju2Ya76SVxe/LQl92Z4kBxTkBgIufn1Dz8fsy9x4Q4TI/vORXdb90NodXroRo1HGXM4h7OwSxE6E3TIh2MLAizWps77jjUiCKvU5z3WLpvJMWac1JuxKMI5HOUWhIv2DfUzuCf/MyYB2F0eoEUKNAvVGhdXSjItlRrnIYdZBIG2iKY/jljjRn8/8Jz3ismHKb8YOL6kTam9fDSGZyODZNoSG7mUHb2yGInQq9YUK0g4EVafYOjDvWG3UEAI/NAMYA33ZrIk0ODSEnrU+wj9dx0hYB9758N1/VnznXDBDzi5CRcjiXRFppsqNvOwmbUQeLgXYSBxo5yTF0BQitlF7XJPceGMGzlwPIZHOK7yOHhlCyIzFIezsEsVOhN0yIdjCwIq2dO2mccyz6o/DWSXYEAL1WA7fF0LKTRvH7fYZ9DIhvAekqY6ybC4BnP2xGUQ5c1b3Nx/BXmTWPbwG5TNVxRxp13AHknbQ1kfJoGQYM9X+PNOLeA8MIJzM4vxZSfJ9zq0F4rIZ81xpBEATRW+gNE6JVBlekmXSIpWrsCKlkK5bGdiJTN9lRZsRubNlJu+gLY9hmxJDF0NLjEG1CjuEvH3lMRYXD5p6Fra6T5hWX1fbSotLYmq3MSQsn8uOzxABjtAGmISHQgqst7aPJ3L3fA8aAp1SMPMol1qwoQZQgCIIgiMFlcEWasc6LZpUsKkh2lBmxG7ERbi045CKFhvQX9j3isjzhcXNRXLr3wWYUu4p1C62r7aXli6zLd9KSGHWYmj1jop9wTkrjjs13pBXjshpwy4QTT13aUHT8diKNyxsRHKNRR4IgCILYMQy8SIu2QaTJ8fteBSJt1G5qKYKfc5HsSKOOfYRNFmlle2lSsiPcDcYdrcOA3lJ93DHqk44pjDtyzuHbpnHHHYNjQow7BleBofYkd91zYBgvrQQVvQn18moInINCQwiCIAhiBzG4Iq3e+JlKlgJRaBgw5Wq8SzJiN2IjkmyqbBYQDko4kcHBMRJpfYM87ljhpF0WlyXjjunK+zMm3LR6445FwSGRZAbxdJZE2k7BOQFsvAlk4i2Hhsjcd2AYmRzHcwuBhseeW90CANw6SSKNIAiCIHYKgyvSJCct3IYY/kV/FJMuCwy6xl+OUbsR6SxHMFblxboCKDSkD7G4AY0eiJSLtAURBGFyNv55c9WI4Y/4AKYRzyHhkzvSKH5/Z+CYALIp8fc2jDsCwO0zLpj0GkVR/OdWg9g3YoXTrG/LcxMEQRAE0XsGVqTVjURXyVIgqmjUESi8sPY1OfJ4cT0MgERaX8GYFMNfZSfNsx8AYDWInbRoMlv9MYamhZNW7rBGNwCLB9AU+vfk4Bm5HJ0YcIrdszYEhwCASa/F27zuhqXWnHOcWw3RPhpBEARB7DAGVqRZ5eCQFp00zjmW/TF4Pcpis0dsUqF1syLNF4HTrM8/DtEn2Mcqd9IClwH3PgCATquBWa+tPu4IiHHH5LaI3C8mulERv58vsqZxx52BHMMPtM1JA4D7Dg7joi+C66HaQUVXgnH4I0nqRyMIgiCIHcbAirR2BYcEoimEk8ri9wHkE/l8TSY8yqEhFJXdZ9j3AOGiCP5UDAhfzYs0QOxB1nRuXXJXWtnIY3SjItlRFvjkpO0QZCfNYAPMrrY97L0HhLh/qo6bJpdYH5tq3/MSBEEQBNF7Blak2aW0vXCLIm1JRfw+gHy3VbNO2iWK3+9P7OOlTtrWkrgsEml2o672TlqtGP7oRkloCCBGZQ06DRxmXYsnTfQFjr3i0jklRmfbxKE9dnishrojj+dWgjDqNDg0bm/b8xIEQRAE0XsGVqRZ5d6qFscdF1XE7wPCwbMYtE3tpG1GUwhEU7SP1o/YxoBEEEjHxcf5+P2CSLMadbWd25pOmr9y3HE7gRGbkdzUnYLOKIR4m/bRZDQahnsODOOpS/6aabLnVoO4ecIJvXZgf5UTBEEQBFGFgf2fveGOkEKWAlFoNQyTLrPi+4hCa/UijZId+5jyGP58/H7RuKOxzrijyQmYhkqdtHRC7KnZynfSkpTsuNP4kS8Ad3627Q9774FhbISTeFMKHComnc3hlSsUGkIQBEE0x/z8PLxeLzQaDbxeL+bn53t9SkQRAyvSAOFstJruuOSPYcplVvVO9Kjd2NRO2kWfeKF1cIxGk/oOu1RoHZH20jYXRCqjufAC2GaqM+4ICDet2EmLbojLiuAQKrLecdzxKeDAu9r+sPceFPuMT1WJ4n/zehjJTI5EWg9gjLkZY//CGLsoXVZdCmSMZRlj56Q/j3b7PAmCIGoxPz+PEydOYHl5WYToLS/jxIkTJNT6iIEWaXaTDpFakegKWfQrj9+XacVJsxi02OukwIi+QxZp8l7a5kKJiwaInbS6bwoMlXWlRX3iskykbYSTFBpCKGLvkBn7RqxVw0NeyoeGkEjrAZ8H8D3O+UEA35M+rkacc35M+vPB7p0eQRBEfU6ePIlYLFZyXSwWw8mTJ3t0RkQ5Ay3SbEYdIonmxx0556IjTWGyo8yo3dTUTholO/Yx5eOOgUqRZjPV2UkDJCdtBcjlxMdR6YV1UXBIIp1FKJ4mJ41QzL0HhvHcwiaSmdI3pM6vBuGxGlSNahNt40MAviT9/UsAfrKH50IQBKGalZUVVdcT3WfwRVoL444b4SRiqaziZEeZEbsR4UQGibQ6F08WaUQfYnYBWoMQaek4sL0GuPeXHCKP19YKccDQDJBNFkYm8+OOhQj+fPw+7aQRCrn3wDDi6SxeWgmWXH9uNYhjU0P0pk9vGOOcy3Gw1wGM1TjOxBg7wxh7ljFGQo4giL5henpa1fVE9xlskdZoR6gBapMdZZqJ4Q8n0rgWSpBI61cYk7rSrhdGFsudNKMO6SxHMpOr/hgur7gMSu9CRSrHHX3UkUao5B37PdBqWMle2nYijcsbERp17CCMse8yxl6t8udDxcdx8a5NjXduMMM5Pw7g4wC+yBjbX+0gxtgJScyd2djYaO8nQhAEUYVTp07BYrGUXGexWHDq1KkenRFRzmCLNKMO0VTzIm0pIHWkqRx3lEWampFHOdnx4CiFhvQttj1iJ61KsiMgdiAB1HZvh8pi+KN+UXBsKPwS3JACZ0Zo3JFQiMOkx9FJJ35QtJf28moInAPHpkmkdQrO+bs55zdX+fMtAOuMsXEAkC59NR7jinS5AOBxALfVOO405/w45/z4yMhItUMIgiDaytzcHE6fPo2ZmRkwxjAzM4PTp09jbm6u16dGSAy8SGulJ23RH4Ney7B3SJ2rMZp30pQnPFL8/gAgO2lyR5qn0kkD6nTzyT1ZshMX9ZWMOgJFThqNOxIquPfgCF5ZCyIUEzu451a3AAC3TpJI6xGPAviU9PdPAfhW+QGMMRdjzCj9fRjAPQBe69oZEgRBNGBubg5LS0vI5XJYWloigdZnDLZIMzXYEWrAkj+KKbcFOpVFsM2MO17yRWDQaTBFS/79i30ciEgizewSf4qwGhs4aXqzKMUOLomPoxsloSEA4NtOQsMAj5VEGqGc+w4OI8eBZxaEm3ZuNYj9I1Y4zfoen9mu5Y8AvIcxdhHAu6WPwRg7zhj7X9IxhwGcYYydB/B9AH/EOSeRRhAEQShC1+sTaIXiHSGTXqv6/ldDcUy6LI0PLMNjNULD1I877hu2qhaERBexjwGJELB+oWLUERAR/EAdkQaUxvBH/YURSAlfOIFhmxFaDYU9EMo5NjUEq0GLH1z047037cG51SAeuGG08R2JjsA5DwCoKMbjnJ8B8PPS358GcEuXT40gCILYIQy0YrApedFch2AsDbdF/TvRWg2Dx6auK+0iJTv2P3IM/5WzVUWazdRg3BEoLbSOVB93pFFHQi16rQbv2OfBDy/5sbYVhz+SwrEpZ69PiyAIgiCIDrEjRFrd7qo6hOLppseFRu1GxU5aIp3F6laMQkP6HbnQOpeuiN8HFL4pMDQDhK4AmRQQ8wO2ynFHSnYkmuGeA8NYCsTwD6+I5PdjU64G9yAIgiAIYlAZbJEmORvNxPBncxzbiTScFkNTzz1iN8KnMDjk1Ssiie3GPeSk9TWykwZUd9KUiDTXDMCzwPorAM+VxO8DkpNGyY5EE9x3ULiy/+sHCzDqNDg0Tm/6EARBEMROZaBFmqIdoRqEE2lwDgy14KQpHXf859fWodcy3H1guPHBRO+wFfXR1ht3bOSkAcDai+KySKRlsjkEoiTSiOY4MGrDmMMIfySFmyec0NN+K0EQBEHsWAb6f3lFO0I1CEpR1kNN7KQBwknzR1LI5uonS3LO8U+vXsfd+4fhMFESW19jdgFaSUB5KscdzXotNEzBThoArL0gLotEWiCaAufAiIPGHQn1MMZwj/RGD5VYEwRBEMTOZqBFmhyJ3kyhdTDemkgbtZuQzXFsxVJ1j3vjehgrmzG896Y9TT0P0UUYE3tpJmdF/L64mYluvnpOmmMSYFrgyhnxcZFI820L53XERk4a0RzyyCOJNIIgCILY2Qx0BL887tjMTlpQEldOc/M7aYB44T1c50X3YxeugzHgPUfGah5D9BHOSSGsWPWIfLtJX//nTasDnBOFQuyi4BB5h5HSHYlmef/N41jfTtLvE4IgCILY4Qy0SFO0I1SDUMtOmlRoHam/l/bYhXUcn3HlRR3R5/z4fxOBHzWwGrWN00SHZoDginDUTAXHQ04DpZ00ollMei0++0DlKC5BEARBEDuLgR53VLQjVANZpDUbwV9w0monPK4EYnj92jaNOg4So4eBsZtq3txw3BEohIdYhwFN4Z+YHDRDgp0gCIIgCIKox0CLNEU7QjWQg0NaFWn1nLTHLlwHABJpOwibSY9wo583OTzEWtaRFk5gyKKHUaft0NkRBEEQvWB+fh5erxcajQZerxfz8/O9PiWCIAacgR53BBQ6G1UIxtKwGXVNx1hbDDrYjLp8GEQ1HrtwHYfHHZhyW5p6DqL/sBt1uLIVq39QsZNWhCiyJheNIAhiJzE/P48TJ04gFhP/NywvL+PEiRMAgLm5uV6eGkEQA8xAO2mA2EtrKoI/nmraRZMZtRtrOmn/f3t3HxvZed13/HeGQw6XnFlyJXHXL1qSst5iRZW0i4UqN4GbxLIlu0JUO3WbdNImSFHCaAwkQVPDLoGkbUAghYomRRq0JRrDRkEkNZyqdm0leomFKi2q2LJenJW1ihVbpGTLIvUy3NkdcmZInv4xM1wuly8znBnee5/5fgBiOZdXs2euSO49c85znsXiqr658LbupYoWlNqatPW9T2pU0rLbK2llHc8xfh8AQjI9Pb2ZoDWUSiVNT09HFBGAECQ/STtgJW25VD3w0JCGa3IZLe1SSXv026/LXbrnVqawhSSb6W9hTdrYZYeXilTSACA0CwsLLR0HgGYkP0lrZo3QDgor7Sdpe1XSHn7+dU1cPaSbT+Ta+jsQL9nB2psCG3ttYp49Id3wQem6928ecnctFcsaY/w+AARlfHy8peMA0IzkJ2mZPl1Yrbb83xVKFY0ecI+0hrFcZsfpjudXq/p/f/2G7vnRd8h22W8LyZRrZgP1VEr6+S9KN92zeahQqqqyvkG7IwAEZmZmRkNDl689Hxoa0szMTEQRSxMBqQAAGbtJREFUAQhBAElaev81QjtYXqnqaNtr0gZ1sbJ+xb5Zj59bVHXddc+P0uoYmuHMwfbmY480AAhTPp/X7OysJiYmZGaamJjQ7OwsQ0MAtCWA6Y5NrBHaxt213IF2x80x/MXy5s27VJvqOJbL6NTJY209P+KnsYH6vhtab7NYrFVcSdIAIDz5fJ6kDEBHJb+S1swaoW1KlXVV112jHZjuKF2+V9pqdV2Pn1vSh245oVSKVsfQNNodiy1OFG1s1XD8KO2OAAAA2Fvik7Sm1ghtU1iprWHrVCVt615pf/6dN7RSXWcD60A1Kmm0OwIAEB02EEfoEt/u2GgzvFheV26wuaSrUKpIkkbaHByyWUkrXhoe8vDzP1RuMK273nN1W8+NeMo21qS1Wkkrrmp4oO+ytlgAANA6NhBHL0h8Je1SZaP5CY/Lpc5U0o4NDSidss0qydr6hh574XV94EeOayCd+EuLHWTbGBxCqyMAAO1jA3H0gsRnEgdZI9SpdsdUynRNNrOZpH39e2+pUKrq3ltpdQzVQZO0pfPlzfZYAABwcGwgjl6Q+CTtIGuECvVK2kibg0Ok2rq0pXqS9vDzP1QmndL7bxpr+3kRT8NttDuyHg0AgPaxgTh6QfKTtAPcNC83KmltrkmTauvSFotlubse+fbrev9NYxoaYN1RqAbSKWXSqQO1O1JJAwCgfWwgjl4QTpLWSiVtpaKBdEqD/e2//EYl7VuvLuu15VWmOvaAbCatYgvfbxfLaypV1nU8x5o0AADaxQbi6AU9maQtl6oaPdIvs/b3MTuey+jNi2U99JevqS9luvu9x9t+TsTbiaODWniztP+JdYzfBwAkWRzH3efzeb388sva2NjQyy+/TIKG4CS+L+8ga4QKpWrbQ0MaxnIZuUtf/Oaruus9V2l0qP0WSsTbHeOj+l/P/kAbG97UhuWL52tbNBw/SpIGAEgWxt0D0Uh8Je0ga4QKK5WOrEeTpLF6C9ubFyu0OvaI0+PHVCyv6aWlC02df6mSRrsjACBZGHefPHGsfKJ1bSVpZvaAmZ0zs2+Z2YNmNtqpwFqRG0y3PN1xpIOVtIYP3UKS1gtOj9e+zZ+ef7up82l3BAAkFePuk6VR+Zyfn5e7b1Y+SdSSp91K2qOSbnX32yT9laTPtB9S64YzrSVpyyu1NWmd0Ljxvv3kqN4xQqWkF1x3zbBGh/r19EKzSdqqBvpSHWuxBQDgsDDuPlmofIajrSTN3R9x90Z29KSka9sPqXXZTLrlEfyd2CNNqq0zGh3q18+cfndHng/xZ2Y6dXJUzywUmjq/sZF1JwbVAABwmBh3nyxUPsPRyTVpvyTpTzr4fE1rZSR6eW1dpcp6x6oamXSfnvzMB/SP7proyPMhGU6PH9N3Fi9s7rm3F/ZIAwAkFePuk4XKZzj2TdLM7DEzO7vDx/1bzpmWtCZp14ZXM5sys6fM7KmlpaXORF+XG2y+kta4qR7p4BTGwf4+qiQ95tT4MUnSc6/sX01bLK6yHg0AkFiMu08OKp/h2DdJc/e73f3WHT6+JElm9ouS7pOUd3ff43lm3f2Mu58ZGxvr2AuQamvSLlaaTNJKtSStU2vS0JtuPzkiMzW1Lm2xWGb8PgAA6Doqn+Foa580M7tX0qck/W13b3533w5rZU1aoV5JY4gD2pEb7NdNx3P7rksrr62rUKoyfh8AAByKfD5PUhaAdtek/UdJOUmPmtmzZvafOxBTy7KDza9JK2xW0th0Gu05PTGqZxbe1sbGrgVkLTF+HwAAAC1qq5Lm7jd0KpB25DJpVdY2VFnb0EB677yzUKpIopKG9p0aP6Y//Por+u4bF3TD8dyO52zukUa7IwAAAJrUyemOkclmarnmxSaqaY3BIUdZk4Y2bW5qvUfL4+L5RiWNdkcAAAA0J4gkbbiepDWzofXySlUpq1XfgHa855qsjg6m9cwew0OWiquSaHcEAABA84JI0nKDtYSr2MTwkEKptpF1KsXIfLQnlTLdMX5sz+Ehi8WyUiZdnSVJAwAAQHOCSNKymVrrYjOVtMJKVaMd3CMNve30+KhefL2o4urOm1ovFcu6OptRH28KAAAAoElhJGmDjXbHnW+UtyqUKhphPRo65PT4MblLz72yvOPXF4tljVFFAwAAQAvCSNI216St73vu8kqVyY7omNtP1oaH7LYubbG4ymRHAAAAtCSsJK3JNWmjVNLQISNH+nXj8aye3i1JO19maAgAAABaEkaSRrsjInR6/JieeaUg98s3tV7fcL1xocz4fQAAALQkiCRtqL9PZvtX0tY3XMXymkYYHIIOOjU+qkKpqu+9cfGy429eLGvD2cgaCI2ZfdzMnjezDTM7s8d595rZi2b2kpl9+jBjBAAkWxBJWiplyg6kVdxnumNxtSp30e6Ijjo9cUySrhjFf2kja5I0IDBnJX1M0hO7nWBmfZJ+X9KHJd0i6efM7JbDCQ8AkHRBJGlSbUPri/skaYVSrR2SwSHopBvGsspl0lesS1sq1pK0MdodgaC4+wvu/uI+p90p6SV3/667VyT9kaT7ux8dACAEwSRp2cH0vvukFVZI0tB5tU2tR/X09kpacVUSlTSgR71b0itbHr9aPwYAwL7CSdIyaRX3WZNWKFUkSSNHWJOGzjo1fkwv/vD8ZdXcRrvjGEkakDhm9piZnd3ho+PVMDObMrOnzOyppaWlTj89ACCB0lEH0Cm5Jippy1TS0CWnxke14dJzrxb0t66/RlJtI+uRI/0a7O+LODoArXL3u9t8iu9LOrnl8bX1Yzv9XbOSZiXpzJkzvtM5AIDeElQlrdk1aYzgR6edPnnl8JDF4iqtjkDv+oakG83sOjMbkPSzkr4ccUwAgIQIJkkbzqT3HcHfqKSRpKHTRob6df3YsJ7ZMjxksVhm/D4QIDP7qJm9Kul9kr5qZg/Xj7/LzB6SJHdfk/RJSQ9LekHSF9z9+ahiBgAkSzDtjtnM/iP4C6Wqspm0+vuCyU0RI6fGj+lr5xbl7jIzLZ4v687rroo6LAAd5u4PSnpwh+M/kPSRLY8fkvTQIYYGAAhEMNlKY02a++7t/IWVClU0dM3p8WN662JFC2+V5O5aKpZpdwQAAEDLgknSspm03KVSZX3Xc5ZLVYaGoGtOjY9Kkp5eeFvLK1VV1jeY7AgAAICWhZOkDdY6N/caHlJYIUlD99x0IqdsJq1nFgqbG1kfP8pG1gAAAGhNOElappak7bUurVCqaJQ90tAlfSnT7SdH9PTC21psJGlU0gAAANCi4JK0vSY8Lq9UdZQ1aeiiUyeP6YXXipp/sySJjawBAADQuvCStF0qae6uZdod0WWnJ0a1vuH62rnXJVFJAwAAQOvCSdIG907SSpV1Vdddo1TS0EWn6ptaP/GdN3Skv2/zzQMAAACgWcEkablMLfnard2xUN/ImkoauunY8ICuu2ZYlbUNHT+akZlFHRIAAAASJpgkbTjTJ2n3SlqhVJEkjTA4BF3WGMVPqyMAAAAOIpgkbb92x+USlTQcjlPjtZbH4znG7wMAAKB1wSRpmXSfBvpSKtLuiIidrlfSmOwIAACAgwgmSZNq1bTdNrMu1CtpIwwOQZfdfCKn20+O6s7rroo6FAAAACRQUKPnhjN9u7c7NipprElDl6X7UvrSL/9Y1GEAAAAgocKqpGX692h3rGggndJgf1AvGQAAAEBggspYcpm0LpSrO35tuVTV6JF+RqIDAAAAiLWgkrTsYHqPEfxVhoYAAAAAiL2wkrRMWhfL6zt+rbBSYT0aAAAAgNgLKkkbzqR3X5NWqmqEShoAAACAmAsqScsN7rEmbaW2Jg0AAAAA4iyoJC2bSWu1uqG19Y0rvlYoVdkjDQAAAEDsBZekSbpiXVp5bV0r1XUGhwAAAACIvbCStMFaklbc1vLY2Mh6ZIjBIQAAAADiLawkrV5J2z6Gf7lUS9JYkwYAAAAg7sJM0rZNeCzUK2m0OwIAAACIu7CStM12x21J2mYljXZHAAAAAPEWVJKW2xwcsj1Jq0iikgYAAAAg/oJK0oZ3aXdsDA45ypo0AAAAADEXVJLWaHe8YnDISlUpu1RpAwAAAIC4CipJGx6or0nbPjikvpF1KmVRhAUAAAAATQsqSetLmYYH+q5ck7ZS1Sh7pAEAAABIgKCSNKnW8ri93bFQqmiE9WgAAAA4BHNzc5qcnFQqldLk5KTm5uaiDgkJE9wireFM+ooR/MsrVV01TCUNAAAA3TU3N6epqSmVSiVJ0vz8vKampiRJ+Xw+ytCQIMFV0nKZ9JWbWZeqGqWSBgAAgC6bnp7eTNAaSqWSpqenI4oISRRckka7IwAAAKKysLDQ0nFgJ+ElaZn0ZYND1jdcxfKaRhgcAgAAgC4bHx9v6TiwkwCTtP7LRvAXV6tyF+2OAAAA6LqZmRkNDQ1ddmxoaEgzMzMRRYQkCjBJ67us3bFQqkqSRodI0gAAANBd+Xxes7OzmpiYkJlpYmJCs7OzDA1BS4Kb7thYk+buMjMVVkjSAAAAcHjy+TxJGdoSYCWtX+sbrvLahqTa0BBJGjnCmjQAAAAA8RdekjZYKw421qUtU0kDAAAAkCBtJWlm9ltm9i0ze9bMHjGzd3UqsIPKZWpJWmNdWmNNGiP4AQAAACRBu5W0B9z9Nne/Q9JXJP1GB2Jqy3AjSdtWSSNJAwAAAJAEbSVp7n5+y8NhSd5eOO3L1pO0YrmWnBVKVWUzafX3BdfZCQAAACBAbU93NLMZSf9Y0rKkn2w7ojbl6mvSLpbXJUmFlQpVNAAAAACJsW95ycweM7OzO3zcL0nuPu3uJyXNSfrkHs8zZWZPmdlTS0tLnXsF22Q316TVKmnLpSpDQwAAAAAkxr6VNHe/u8nnmpP0kKTf3OV5ZiXNStKZM2e61ha5fU1aYYUkDQDQOWb2cUn/StJ7Jd3p7k/tct7LkoqS1iWtufuZw4oRAJBs7U53vHHLw/slnWsvnPY12h2Lm9MdKxpljzQAQOeclfQxSU80ce5PuvsdJGgAgFa0uybtt83sZkkbkuYlfaL9kNqTSaeUTtll0x2PsiYNANAh7v6CJJlZ1KEAAALVVpLm7j/TqUA6xcyUHUzrYnlN7q4Ca9IAANFwSY+YmUv6L/W2fwAA9tX2dMc4ymbSKpbXVKqsa23DNUolDQDQAjN7TNI7dvjStLt/qcmn+XF3/76ZHZf0qJmdc/crWiTNbErSlCSNj48fOGYAQDiCTdIurK6pUN/ImkoaAKAVLQzN2us5vl//c9HMHpR0p3ZYx3ZYg7UAAMkR5A7P2UxaF8prKpQqkqQRBocAAA6RmQ2bWa7xuaQPqTZwBACAfYWZpNXXpC2XqKQBADrLzD5qZq9Kep+kr5rZw/Xj7zKzh+qnnZD0f8zsOUlfl/RVd//TaCIGACRNsO2OC2+VaHcEAHScuz8o6cEdjv9A0kfqn39X0u2HHBoAIBBBVtJyg/U1afVK2giDQwAAAAAkRJBJ2vBAfU3aSm1NGptZAwAAAEiKIJO07GBapcq63r5Y0UA6pcH+IF8mAAAAgAAFmb1kM7Wldj8orGr0SL/MLOKIAAAAAKA5QSZpucFakvbq2yWGhgAAACDx5ubmNDk5qVQqpcnJSc3NzUUdErooyOmOw5lGkrai68eyEUcDAAAAHNzc3JympqZUKpUkSfPz85qampIk5fP5KENDlwRZSWu0O755saIRKmkAAABIsOnp6c0EraFUKml6ejqiiNBtQSZpjXZHSRpl/D4AAAASbGFhoaXjSL4gk7Rs5lJixh5pAAAASLLx8fGWjiP5wkzStlbSaHcEAABAgs3MzGhoaOiyY0NDQ5qZmYkoInRbmEnawKUkbWSIjawBAACQXPl8XrOzs5qYmJCZaWJiQrOzswwNCVig0x37Nj9nTRoAAACSLp/Pk5T1kCAraem+lI701xI12h0BAAAAJEmQSZp0aV3a6BHaHQEAAAAkR7BJWq6+VxqVNAAAAABJEmySNlxP0o6yJg0AgGDMzc1pcnJSqVRKk5OTmpubizokAOi4IAeHSFI2k1bKLlXUAABAss3NzWlqakqlUkmSND8/r6mpKUlioAKAoARbScsOpjVypF+plEUdCgAA6IDp6enNBK2hVCppeno6oogAoDuCLTNdP5bVcqkadRgAAKBDFhYWWjoOAEkVbJL2qXtulkcdBAAA6Jjx8XHNz8/veBwAQhJsu2MqZeqj1REAgGDMzMxoaGjosmNDQ0OamZmJKCIA6I5gkzQAABCWfD6v2dlZTUxMyMw0MTGh2dlZhoYACE6w7Y4AACA8+XyepAxA8KikAQAAAECMkKQBAAAAQIyQpAEAAABAjJCkAQAAAECMkKQBAAAAQIyQpAEAAABAjJCkAQAAAECMkKQBAAAAQIyQpAEAAABAjJCkAQAAAECMkKQBAAAAQIyQpAEAAABAjJCkAQAAAECMkKQBAAAAQIyYux/+X2q2JGl+j1OukfTGIYXTq7jG3cc17i6ub/d14hpPuPtYJ4LpBU38+xhHvfizyGvuDbzm3hDla97138hIkrT9mNlT7n4m6jhCxjXuPq5xd3F9u49rjGb04vcJr7k38Jp7Q1xfM+2OAAAAABAjJGkAAAAAECNxTdJmow6gB3CNu49r3F1c3+7jGqMZvfh9wmvuDbzm3hDL1xzLNWkAAAAA0KviWkkDAAAAgJ4UuyTNzO41sxfN7CUz+3TU8YTAzD5rZotmdnbLsavM7FEz+079z2NRxphkZnbSzB43s2+b2fNm9iv141zjDjGzQTP7upk9V7/G/7p+/Doz+4v674v/bmYDUceaZGbWZ2bPmNlX6o+5vtiXmf2WmX3LzJ41s0fM7F1Rx3QYzOwBMztXf+0Pmtlo1DF1m5l9vP47eMPMYjcNr5N67X50p3vF0O12/xYXsUrSzKxP0u9L+rCkWyT9nJndEm1UQficpHu3Hfu0pD9z9xsl/Vn9MQ5mTdI/d/dbJN0l6Zfr37dc484pS/opd79d0h2S7jWzuyT9W0m/4+43SHpb0j+JMMYQ/IqkF7Y85vqiGQ+4+23ufoekr0j6jagDOiSPSrrV3W+T9FeSPhNxPIfhrKSPSXoi6kC6qUfvRz+nK+8VQ7fb/VssxCpJk3SnpJfc/bvuXpH0R5LujzimxHP3JyS9te3w/ZI+X//885L+7qEGFRB3f83dn65/XlTtJvfd4hp3jNdcqD/sr3+4pJ+S9MX6ca5xG8zsWkl/R9J/rT82cX3RBHc/v+XhsGo/m8Fz90fcfa3+8ElJ10YZz2Fw9xfc/cWo4zgEPXc/usu9YtD2uH+Lhbglae+W9MqWx68qRhcrMCfc/bX65z+UdCLKYEJhZpOSTkn6C3GNO6reivespEXV3sH+a0mFLTdJ/L5oz+9K+pSkjfrjq8X1RZPMbMbMXpGUV+9U0rb6JUl/EnUQ6BjuR3vMtvu3WIhbkoYIeG3EZ0+889lNZpaV9MeSfnXbO8tc4w5w9/V6O9W1qr3L+SMRhxQMM7tP0qK7fzPqWBBPZvaYmZ3d4eN+SXL3aXc/KWlO0iejjbZz9nvd9XOmVWubmosu0s5p5jUDIdnr/i1K6agD2Ob7kk5ueXxt/Rg673Uze6e7v2Zm71StOoEDMrN+1X7A59z9f9QPc427wN0LZva4pPdJGjWzdL3aw++Lg/sxST9tZh+RNCjpqKT/IK4v6tz97iZPnZP0kKTf7GI4h2a/121mvyjpPkkf8ED2NGrh/3XIuB/tEbvcv8VC3Cpp35B0Y32i2ICkn5X05YhjCtWXJf1C/fNfkPSlCGNJtPranT+Q9IK7//stX+Iad4iZjTUmp5nZEUkfVK13/HFJf69+Gtf4gNz9M+5+rbtPqvZ792vunhfXF00wsxu3PLxf0rmoYjlMZnavai3CP+3upajjQUdxP9oD9rh/i4XYbWZdfyf3dyX1Sfqsu89EHFLimdkfSvoJSddIel21dzj/p6QvSBqXNC/p77t7Ty0Y7RQz+3FJfy7pL3VpPc+/VK2vmWvcAWZ2m2qDK/pUe3PpC+7+b8zsPaot6L5K0jOSft7dy9FFmnxm9hOSft3d7+P6ohlm9seSblbt99+8pE+4e/BVBzN7SVJG0pv1Q0+6+yciDKnrzOyjkn5P0pikgqRn3f2eaKPqjl67H93pXtHd/yDSoLpst/s3d38ouqguiV2SBgAAAAC9LG7tjgAAAADQ00jSAAAAACBGSNIAAAAAIEZI0gAAAAAgRkjSAAAAACBGSNKALjOzUTP7Z1HHAQAAgGQgSQO6b1QSSRoAoGeZ2Ukz+56ZXVV/fKz+eHKHcyfN7B8edoxAnJCkAd3325KuN7NnzeyBqIMBAOCwufsrkv6Tav8mqv7nrLu/vMPpk5JI0tDT2Mwa6LL6u4RfcfdbIw4FAIDImFm/pG9K+qykfyrpDnev7nDek5LeK+l7kj7v7r9zqIECMZCOOgAAAACEz92rZvYvJP2ppA/tlKDVfVrSr7v7fYcXHRAvtDsCAADgsHxY0muS6C4B9kCSBnRfUVIu6iAAAIiSmd0h6YOS7pL0a2b2zohDAmKLJA3oMnd/U9L/NbOzDA4BAPQiMzPVBof8qrsvSHpA0r/b5XTe3ETPY3AIAAAAusrMpiR9wN3/Qf1xn6RvSPo1d//f287tl/SwpKslfY7BIehFJGkAAAAAECO0OwIAAABAjDCCHwAAAIfOzP6GpP+27XDZ3f9mFPEAcUK7IwAAAADECO2OAAAAABAjJGkAAAAAECMkaQAAAAAQIyRpAAAAABAjJGkAAAAAECP/Hy4BKFPUzEfcAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 40\n", "max_lag = 0\n", "\n", "X, Y = indep_ar1(n)\n", "plot_ts(X, Y, \"Independent AR(1)\")\n", "compute_dcorrx(X, Y, max_lag)\n", "compute_mgcx(X, Y, max_lag) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the crosscorrelated time series, the linear dependence will not be apparent at lag 0, but will be at lag 1." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DCorrX test statistic: 0.14380139143970183\n", "P Value: 0.028\n", "Optimal Lag: 0\n", "MGCX test statistic: 0.14550875825340037\n", "P Value: 0.069\n", "Optimal Lag: 0\n", "Optimal Scale: [40, 40]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 40\n", "max_lag = 0\n", "\n", "X, Y = cross_corr_ar1(n)\n", "plot_ts(X, Y, \"Crosscorrelated AR(1)\")\n", "compute_dcorrx(X, Y, max_lag)\n", "compute_mgcx(X, Y, max_lag)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DCorrX test statistic: 0.35649077356316006\n", "P Value: 0.003\n", "Optimal Lag: 1\n", "MGCX test statistic: 0.35511264701472667\n", "P Value: 0.012\n", "Optimal Lag: 1\n", "Optimal Scale: [39, 39]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "max_lag = 1\n", "\n", "X, Y = cross_corr_ar1(n)\n", "plot_ts(X[1:n], Y[0:(n-1)], \"Crosscorrelated AR(1) - Y_t lagged by 1\", ylab = \"Y_{t-1}\")\n", "compute_dcorrx(X, Y, max_lag)\n", "compute_mgcx(X, Y, max_lag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final example is a nonlinearly related series, for which the Pearson's correlation may be insufficient." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pearson's Correlation at lag 0: -0.16740183702829184\n", "Pearson's Correlation at lag 1: 0.2840269513248397\n" ] } ], "source": [ "X, Y = nonlinear_lag1(n)\n", "\n", "print(\"Pearson's Correlation at lag 0: \" + str(pearsonr(X,Y)[0]))\n", "print(\"Pearson's Correlation at lag 1: \" + str(pearsonr(X[1:n],Y[0:(n-1)])[0]))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DCorrX test statistic: 0.07967130243446058\n", "P Value: 0.159\n", "Optimal Lag: 1\n", "MGCX test statistic: 0.35820807204909766\n", "P Value: 0.008\n", "Optimal Lag: 0\n", "Optimal Scale: [35, 13]\n" ] }, { "data": { "image/png": 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5cP/TInJIRA4tLS21+u6JiMhjPJOBKxaLWF5exurqKgqFgtvHaQu/349YLIbx8XH4fIy1iYg6jYiMArgZwCKAqW1uvgJg2ObyEeM6W0qpOQBzAHDZZZd11uhoIiJqO88EcMeOHYOIYHJyEsFgECLi9pEcpZRCLpfD6dOncezYMUxMTLh9JCIishCRKIBvAAgB+FOlVHKbL7kXwAER6VdKJSyXX2JcR0REtC3PpHUSiQT279+PUCjU9cEbAIgIQqEQ9u/fj0Qisf0XEBFR24hIAMBXAFwE4HlKqTN1fNl3jPcvttzPPgBPhc7iERERbcszGTgAPVlG2It/ZiIiD/gk9PLuNwAYE5Exy3V3KKUyIvJ9AFBKPct4f0xE/hnAR0W/Emku8l4E8MV2Hp6IiLzLUwEcERFRhzB3un3M5roLACwA8Ntc93oACQAfBhAFcCuAlyml0g6ckYiIuhADOCIiogYppSbruM0zbC7LAHiz8UZERNQw1ucRERERERF5BAO4FtjY2MDk5CTm5+dLl62vr2NiYgI33nhj1a+7+uqr8c53vrMdRyQiIiIioi7AAK4FBgYG8OlPfxpvfOMbYS5Zfdvb3obLLrsMV155pcunIyIiIiKibuHZHrh3ff1u3HMi7uhjPGrfEP7hhZfWddvnPve5+JM/+RO8/vWvx2te8xrccMMNuPvuu6vefm5uDvPz8xARfPSjH8Uzn/lMfP3rX2/V0YmIiIiIqAsxA9dCH/nIR3DLLbfgyiuvxAc/+EGcd955VW87PT2NqakpvO1tb8PGxgaDNyIiIup48/PzmJychM/n29I+QkTt4dkMXL2ZsXYaGRnBpZdeip/+9Kd4yUte4vZxiKjHHD2XxEBfACP9IbePQkRdaH5+HtPT00gmkwCAxcVFTE9PAwCmpqbcPBpRT2EGroW++MUvYmFhAc9+9rPx9re/3e3jEFGPueZzv8IHv3Of28cgoi41MzNTCt5MyWQSMzMzLp2IqDd5NgPXac6cOYM3velNuOGGG3DJJZfg0ksvxdTUFJ761KdW/RoRaeMJiajbnd3I4lwi6/YxiKhLHTlypKHLicgZzMC1yOte9zpcccUVeOYzn4m9e/fi/e9/P1796lcjk8lU/Zo9e/bgwQcfbOMpiaibpXIFpHIFt49BRF1qYmKiocuJyBkM4Frgpptuwm233YYPfOADpcte9apXYd++fXj3u99d9euuueYa3HPPPYjFYrjiiivacVQi6lJKKR3AZRnAEZEzZmdnEY1Gyy6LRqOYnZ116UREvYkllC1wxRVX2AZgP/jBD2p+3UUXXYQ777zTqWMRUQ/J5ItQCszAEZFjzEElMzMzOHLkCCYmJjA7O8sBJkRtxgCOiKgLmJk3ZuCIyElTU1MM2IhcxhJKh1166aUYGBjY8sa9KUTUSkkj88YMHBERUXdjAOewu+++GxsbG1ve+OoVEbWSmXlLM4Aj6jlcrk3UW1hCSUTUBczALckSSqKewuXaRL2HGTgioi5gBm6pXAFKKZdPQ0TtwuXaRL2HARwRURcwe9+U0hMpiag3cLk2Ue9hAEdE1AWs0yfZB0fUO7hcm6j3MIAjIuoCqVy+9DH74Ih6B5drE/UeBnBERF0gld0sm+QqAaLeMTU1hbm5ORw8eBAigoMHD2Jubo4DTIi6GAO4Fnj5y1+OV7ziFWWX3XrrrRgbG8PJkydtv+baa6/Fy1/+8nYcj4h6gDVo4zJvot4yNTWFhYUFFItFLCwsMHgj6nIM4FrgYx/7GG6++WZ897vfBQCk02m8+tWvxoc+9CHs3bvX5dMRUS9IZTdLKNkDR0RE1L28uwfu5ncAp37t7GOc92jg+f9j25uNjY3h4x//OKanp/Gb3/wG73nPe3DhhRfi6quvtr39t771Lbz3ve+FUgo33XQTLrzwQhw+fLjFhyeiXmLNwLEHjoiIqHt5N4DrMFdddRWuv/56vOxlL8NPfvIT3HnnnVVv+7znPQ9///d/jwceeABf/OIX23hKIupW7IEjIiLqDd4N4OrIjLXbJz/5SVx44YWYnZ3FgQMH3D4OEfUQ6xRKllASERF1L/bAtdCePXswPj6OSy+91O2jEFGPSWULCAV8pY+JiIioOzGAc4mIuH0EIuoiqVwBY/0hAOyBIyIi6mYM4FyyZ8+e0shfIqKdSmYLGInqAI49cERERN2LAZxLrrrqKgB6guXjH/94l09DRF6XzhUwHAnCJ+yBIyIi6mbeHWLSoRYWFuq63djYGG677TZnD0NEPSOVK2DPYBCRoJ89cERERF2MGTgioi6QzBYQDvkRCQWQZAaOiIioazGAc9Dzn/98DAwMbHl773vf6/bRiKjLpLMFRIJ+REI+pJmBIyIi6losoXTQzTff7PYRiKhHpHIFREN+XULJDBwREVHX8lQGrhcnNvbin5mIGpc0M3AM4IiIiLqaZwK4/v5+HD9+HNlsFkopt4/jOKUUstksjh8/jv7+frePQ0QdrFhUyOSLCAf9iIT83ANHRETUxTxTQnn++edjeXkZi4uLyOfzbh+nLQKBAIaHhzE+Pu72UYiog6XzOmAzSyjPJrIun4iIiIic4pkAzufzYffu3di9e7fbRyEi6ihmxi0S0hm41AozcERERN3KMyWURERkz9z7Fg76EWYPHBERUVdjAEdE5HHp3GYJZTTERd5ERETdjAEcEZHHlUooOYWyrUTk4SLyaRG5S0QKInJLHV8zKSLK5u36NhyZiIi6gGd64IiIyJ4ZsFkDOKUURMTlk3W9SwG8AMDPAQQb/Nq3APiJ5fPlVh2KiIi6GwM4IiKPKwVwIT/CIT+UQmmtADnq60qprwGAiNwIoJGRwfcppX7uzLGIiKibsYSSiMjjUpYplFEjaGMfnPOUUkW3z0BERL2HARwRkcelrD1wISOAYx9cp/us0Td3UkQ+LCIRtw9ERETewBJKIiKPKyuhDDKA63AZAJ8A8B0AcQDPAPB2ABcCeJF7xyIiIq9gAEdE5HGpiimU1suosyilTgJ4neWiW0TkNIBPishjlVKHK79GRKYBTAPAxMREew5KREQdiyWUREQeZ51CGQ0Fyi4jT7jReP8EuyuVUnNKqcuUUpft2rWrjcciIqJO5EgAJyJXici/ishxEdkQkdtF5GVOPBYRUa9L5QoI+X0I+H2IhPQ/68zAeYqqeE9ERFSVUyWUbwbwEIA3Qe+2eQGAL4nIuFLq4w49JhFRT0plCwgHdeDGHjhPutJ4f7urpyAiIk9wKoB7oVLKupT0ByKyDzqwYwBHRNRCqWyhNH3S7IFLM4BznIhEoV+gBID9AIZExAzGvqmUSorIAwBuVUpdY3zNtQAGoZd4xwE8DcBbAXxVKXVXO89PRETe5EgAVxG8me4A8B+deDwiol6WyhVKvW/m+yRLKNthN4CvVFxmfn4BgAXo/2etG9XvBfAWAK8CEAFwBMAHAMw6eVAiIuoe7ZxC+WQA97fx8YiIekIyWyiVTnIKZfsopRYAyDa3maz4/HoA1zt3KiIi6nZtCeBE5FkArgDwynY8HhFRL0nnCoiYPXDmEBOWUBIREXUlx9cIiMgkgC8B+JpS6roqt5kWkUMicmhpacnpIxERdRVrCWXI74NP2ANHRETUrRwN4ERkFMDNABYBTFW7HXfcEBE1z1pCKSKIhgLsgSMiIupSjgVwxnSubwAIAfhTpVTSqcciIupl6dzmFEpArxJgCSUREVF3cqQHTkQC0JO4LgLwR0qpM048DhER6YEl0eBmABcJ+ZBmBo6IiKgrOTXE5JPQu3HeAGBMRMYs192hlMo49LhERD0nmc2XZeAizMARERF1LacCuMuN9x+zuc7cjUNERC2QzhVLPXAAEGEPHBERUddyapH3pBP3S0RE5fKFIrKFIqJlGTgfM3BERERdyvE1AkRE5BwzUIsEy0souUaAiIioOzGAIyLyMDOAC1szcCE/UiyhJCIi6koM4IiIPCydLQJA+RTKIHvgiIiIuhUDOCIiD0vm8gBQPoUy5GMJJRERUZdiAEdEvSeXBj71FOChH7l9kh0zSyUre+A4xISIdmp+fh6Tk5Pw+XyYnJzE/Py820ciIjCAI6JetHEKOPVr/eZxpSEmNnvglFJuHYuIPG5+fh7T09NYXFyEUgqLi4uYnp5mEEfUARjAEVHvScf1+3za3XO0gG0GLhSAUkAmX3TrWETkcTMzM0gmk2WXJZNJzMzMuHQiIjIxgCOi3pNe0+/zWXfP0QL2GTj9TzsnURJRs44cOdLQ5UTUPgzgiKj3lAK4bs3A6Y/ZB0fUu3bavzYxMdHQ5UTUPgzgiKj3ZIwSykJ3ZuDCQQZwRL2sFf1rs7OziEajZZdFo1HMzs62+rhE1CAGcETUe7o8AxcNBcquI6Le0or+tampKczNzeHgwYMQERw8eBBzc3OYmppq9XGJqEEBtw9APSx+EijmgBjLMajNSkNMuigDV7FGwHodEfWWVvWvTU1NMWAj6kDMwJF7bn4r8C+vdfsU1Iu6LAPXF/DB55PSZZEQh5gQ9TL2rxF1NwZw5J7kCpA85/YpqBdljACukHH3HC2QyhXK+t8A9sAR9Tr2rxF1NwZw5J58Gsin3D4F9aJSBq4LArhsoax8EmAPHFGvY/8aUXdjDxy5J58Bct4vYSMP6qIALmmTgWMPHBGxf42oezEDR+7Jp4AcM3DkgtIQE+8HcGmbDFwpgGMGjoiIqOswgCP35DMsoSR3pLusB64igAubQ0yYgSMiIuo6DODIPfm0XqRc5JNMarNM92TgktmtJZQhvw9+nzADR0RE1IUYwJF7zP63LhjlTh6iVFf1wKVtMnAigkjQzwwcERFRF2IAR+4xAzcOMqF2yqWAYl5/3AUBnN0aAUCvEmAAR0RE1H0YwJE7igWgmNMfsw+O2snMvomvK3rgktkCojYBXCTkQ5ollERERF2HARy5w5r54CRKaiczgIuOA/msu2dpgXS2UFrcbRUNBpBkAEdERNR1GMCRO6x9bwzgqJ3MASYDu7ui/9JuCiUAhEMsoSQiIupGDODIHdYnzl3wJJo8xMzA9e/SJZRKuXueHcjmi8gXlX0JZdDHAI6IiKgLMYAjdzADR24xA7iBPfp9wbtllGaAZldCGQn6kWYAR0RE1HUYwJE7cszAkUtKAdwu/d7DkyjNAM1uCmU0xB44IiKibsQAjtzBDBy5pVRCuVu/93AAZwZodiWU4aCfi7yJiIi6EAM4cof1STMzcNROmTjgCwLhYf25h1cJmAGa3RCTSMjHEkoiIqIuxACO3FGWgUu6dw7qPek1HbwFwvpzD2fgtuuB4xATIiKi7sMAjtxRFsAxA0dtlI4D4SEgENKfezmAK5VQBrZcFwkFkMoVoDw8ZZOIiIi2YgBH7ihbI8AeOGojMwPn79Ofe7iE18yw2ZZQBv1QCsjki+0+FhERETmIARy5w5r1YAaO2ikTN0oojQCuC9YIREJb/ymPBPVlHGTiHBF5uIh8WkTuEpGCiNxS59cNi8hnRWRFRNZEZF5Exhw+LhERdQkGcOQOZuDILek1oG9oM4DzcgYumwegyyUrmasF2AfnqEsBvADAfQDub+DrbgDwDACvAnA1gCcCuKnFZyMioi619X99onYoZd2EGThqry1DTDycgas5hVL/885dcI76ulLqawAgIjcCGN/uC0TkyQAuB/B0pdSPjMuOA/iFiDxbKfU9Jw9MRETexwwcucPMeoSHuQeO2ittlFD6zSEm3n0BIZXT/W3VeuAAcJWAg5RSzTQYPh/AaTN4M+7nlwAeMq4jIiKqiQEcucPsgYvEWEJJ7VPIAblEeQbOyz1wRgllOGjXA8cSyg51CYB7bS7/rXEdERFRTQzgyB35lF6mHBpgCSW1T2Zdv++zrhHw7u9fKldAJOiHiGy5zhxswiEmHWcEwKrN5SvGdVuIyLSIHBKRQ0tLS44ejoiIOh8DOHJHPqMzIIEwM3DUPmnjeXMXLfI2h5VUigTZA9ctlFJzSqnLlFKX7dq1y+3jELlmfn4ek5OT8Pl8mJycxPz8vNtHInIFh5iQO/JpPQUwGGEGjtonvabfl/XAeTeAS2YLtv1vwOYUSvbAdZwVAHZR2IhxHRHZmJ+fx/T0NISp25EAACAASURBVJLJJABgcXER09PTAICpqSk3j0bUdszAkTuYgSM3pOP6fXjI0gPn3QAuXTMDxx64DnUv7HvdqvXGERGAmZmZUvBmSiaTmJmZcelERO5hAEfuyKWAYJgZOGovawautAfOuwFcqlYGzgzgWELZaW4GcJ6IPMW8QEQuA/Aw4zoisnHkyJGGLifqZgzgyB1mBi4YAXLJ7W9P1AoZIwPXNwT4/IAv4OkALpmtkYHjIm/HiUhURK4UkSsB7Aewy/xcRKLGbR4QkX82v0Yp9TMA3wHweRF5iYhcAWAewG3cAUdU3cTEREOXE3UzBnDkDrMHLhD29BRA8hhrBg4A/H2eXiOQzlXPwAX9Ar9PmIFz1m4AXzHengTgUZbPdxu3CQCo/CG9FMCtAD4D4PMAbgfw4jacl8izZmdnEY1Gyy6LRqOYnZ116URE7uEQE3JHPg0EIiyhpPYye+D6BvX7QJ+nX0BI5QrYWyWAExFEgn5m4ByklFoAsHWHQ/ltJm0uWwXwCuONiOpgDiqZmZnBkSNHMDExgdnZWQ4woZ7EAI7ckU8D4RiHmFB7pdc2yycBI4DzdglltEoJJQCEGcARUReZmppiwEYEllCSW6w9cIUsUOSTTGqD9Npm+STg+QAunSsgXCOAi4b8LKEkIiLqMgzgyB3WPXDm50ROy8R1Bs7k7/P0GoFaUygBPYmSARwR1cLl2ETewxJKckcurYO3gBHA5VJAqN/dM1H366IMnFIKqdw2JZQhllASUXVcjk3kTczAkTtKGThjmXKOfXDUBuk1vcTb5OEALpMvoqh0n1s1kaCPGTgiqorLsYm8iQEcucPsgQuwhJLaaEsGLuzZAC5tZNZqlVBGQwFm4IioKi7HJvImBnDkjnzaGGLCDBy1llIKr/78IXztzuNbr6wM4Pwhz/bAmYFZrRJKrhEgolq4HJvImxjAUfsVC0AxxwwcOeJUPI3v3nMaP33gbPkVSm0dYuLhDFzSKI2MbLdGgCWURFQFl2MTeRMDuB34lzuO4apP/dTtY3iPGay1qQdOKYUv/HwRK4msY49BnePw0VUAwNnKn3d2A1DFihLKkHcCuO+/G/jOO0ufmoFZzR64kI8ZOCKqampqCnNzczh48CBEBAcPHsTc3BwHmBB1OE6h3IHbF1fwq4UVJLN5REP8VtbNfMJs7oEDHM3AnVxL47/d9BtAKfzlkycdexzqDIePrQEAziUqArN0XL8PezQD98D3dABqSNdRQhkNBZiBI6KauBybyHuYgduBlWQOALC8zsxOQ8xsW9BSQplLVr/9DiWzeQCbPy/qbmYGbsvPO60DO8/2wCWWgdRa6dNSCWWNDFzY6IFTSjl+PCIiImoPBnA7YJbkLW2wf6shpRJK6xAT576HqazOWqx6KYC744vA4evdPoXnFIsKdxkZuLMbFYFZxsjA9VWuEfDA31+lgMTSZhCKzSEmtdcI6Osy+WLV2xAREZG3MIDbAfMV/iVm4BpTKqHsswwxca4Hznyiu5r00M/pl/8LOPQZt0/RUmfW07h9ccXRx3hweQMbmTzOH4kgns4jV7AELqUMXGzzskAfkPfA70UmDhSyQGZNDwFCfSWUkaD+Jz7JMkoiIqKuwQBuB8yAYLnylX6qrZSBi7QlA2c+0V1NeSgDl4mXZVu6wdytD+Lqz/zS0ce486j+nv3xJbsBoHxwjW0JpZGB6/QSw8Ty5sdGJrGeKZRmby4HmRAREXUPBnA7sGIEcEvrDOAaYp1CyQycvcw6kFp1+xQttbSRwXomXwqonXDXsVX0h/x44uQoAOBc0i6AqxhiAgUU846dqSWsAZzxe5GqpwfOCO44yISIiKh7MIBrUipbQDqny7OYgWuQtQcu0AdAmIGrlO6+DJxZcrziYCB9+OgqHn3+MMYH+gAA5zZsAriyHriQft/pfXCJpc2PjT+H+cJErQycGdw5GTQTERFRezGAa5L1SSgzcA2y9sCJ6FUCDk6hNLMPa14ZYpLP6MmI+ZR3RtzXwcyAnnNoH18mX8A9J+N47IEYxgZ0YFa2Cy4T1yWTZtkuYGTg0Pl9cHYBXLYAnwAhf/V/xs0Ajj1wRJ1rfn4ek5OT8Pl8mJycxPz8fE+fg4i2x+VlTbIGcMzANai0RsAonwyEHc2ApCwZOKUURMSxx2oJc18ZoJ+sD+x27ywtZP6dcWoa6G9PriNXUHjc+TGMRHUAd66yB87a/wboNQKABzJwlhLKtFFCmSsgEvTX/H02s3PsgSPqTPPz85ienkYyqV/EXFxcxPT0NAC0dTdbp5yDiOrDDFyTzCeh+4bDWN7o8FfvO401AwcYGTjnA7hCUWEj0+G9TsDmuHugq8ooVxPOllDedUwHNo85EMNINAigIgOXjpf3vwGbGbhO3wVXpYQyEqr9GpyZgWMPHLmN2R17MzMzpaDJlEwmMTMz05PnIKL6MIBrkvkk9KI9gyyhbJS1B8587+AQk7TlyasndsFZA7guGWSSKxSxnnF2ofqdR1cxPtCHfcNhBPw+xKLBrVMoKzNwpR64Dv87nFgCBvbojy1DTCKh2v+Emxk49sCRm8zszuLiIpRSpewOgzjgyJEjDV3e7ecgovowgGuS+cTwot0DSOUKSHghs9MpShk4I4BzOAOXtiwx9kQAV1lC2QXWLANkVh3qgTt8dBWPOzBcKikc7Q9tX0JZ6oHzQAA3MgmIr6wHrtYESoA9cNQZmN2pbmJioqHLu/0cRFQfBnBNMrMID989AICDTBpiZtvalIGzlo+tpjxQ7lpWQtkdGTjrCgcnMnDxdA6/X0rgsedvLukejYZwNmH5e5mJl0+gBPRQE0Avye5kybNA/y4dgFp74LYroWQPHHUAZneqm52dRTQaLbssGo1idna2J89BRPVhANeklWQWA30B7I3pQRwcZNIAl3rgAI9k4DLrmx93SQBnDdqc2Mf3m2M6K/XYA5YArq4MnPE72PFDTJYsAZw1A7dNCSXXCFAHYHanuqmpKczNzeHgwYMQERw8eBBzc3NtHxzSKecgovowgGvSajKHkf4gdhn7phjANSCfBnxBwGeUfzm9RiBXwGBYZyo8sQsu3X09cGbJccAnjgwxudMcYHL+ZoA2NhDCuYTl5207xMQM4Do4A1csWDJwsc0euNz2JZRBv8DvEw4xIVcxu1Pb1NQUFhYWUCwWsbCw4FrQ1CnnIKLtMYBr0rlEFiPREMYH9RAEllA2IJfeXCEAOL5GIJ0t4LwhXa655uAS6ZYxSyh9wa7pgTMznxOjUUdKKA8fXcXkWBQxY30AoDNwK8ksikWls775lDczcKkVQBW3ZuByBUS3KaEUEUSCfvbAkauY3SEiai3ugWvSajKLWDSE0WgIIsASVwnUL5/efOIMGBk4B3vgcgUMR4KIhvzeKKFMrwGBSFm/k9eZWbcLxvvx+6WNlt//4aNr+MOHjZZdNtrfh0JRIZ7OIVY0guJwrPwLSz1wHfwCjLlCoH8ciMSA9ZMAdAlleJsMHKD74NgDR26bmppiwEZE1CLMwDVpJZnDSDSIgN+Hsf4QM3CNyGc2B5gAbVnkHQn5EYsEvVFCmTFK/SzZFq9bSeYQ9Av2j0RanoE7HU/jVDxdNsAEAEb7LbvgzKxm5RCTUgaug//+WgO4igzcdmsEAN0Hxx44IiKi7sEArkkrSV1CCQDjA33sgWuEbQbOwRLKXBF9AT+GoyFvZOAy6zrQCA93TQ+cmbGORUOIp3MoFFXL7vvwUf09euyB8vLI0X79O3Yukd3MZFYtoezgv7+JZf2+sgcuu30JJaADOPbAEZGJS9WJvM+xAE5EHi4inxaRu0SkICK3OPVY7ZYrFLGezpcCuF2DDOAakk/rEkGT04u8rRk4L/TAmcM2IrEuysBlMRINYiQahFLle+F26vCxVfh9gkv3lQdnY/3676cO4MwSysoMnAf2wJUFcMNAIYNiNoVUrr4SynDIjyQzcEQELlUn6hZOZuAuBfACAPcBuN/Bx2k7M4szYpRojQ/0sYSyEVsycFG9h6vozJNMc9z6SL+HSij7BrusBy6HWDRUetGjlZMoDx9dwyXnDW4JZkbLAjgjEK7MwPmNoSed3gMnPiAyooN6AJmNcwCw7RRKAIgG/UgzA0dE4FJ1om7hZAD3daXUAaXUVQDudvBx2s7M4sRKJZQhLG9koFTrysK6WmUPXND42KFBJua49eGIR0oo08bC6XD3ZODWjJ7RWFS/6LGSaE0AVywqHD62Wrb/zVQWwFXtgfNCBm4JiI7ptRthM4BbAQBEQxxiQkT141J1ou7gWACnlCo6dd9uM4cwjFpKKNO5IjYyeTeP5R359GbQBmyWUzo0yCSVKyAc8iMWDWItle38QDuzXj7EpNPPWwezZ3QzA9eaQHrhbALr6Twee/7wluvCQT+iIT/ObtTKwAV0dqvTA7j+XfpjI4DLrp8FUF8GLhJkAEeNYY9U9+JSdaLuwCEmTVgpZeA2SygBYJmrBOqTS7ctA1coKmTzRUSCugcuV1CdvxMrEwf6hnW5nCrqgM7DlFJYdaiE8vAxc4DJ1gwcsLkLDuk1HaiFBrbeyOEpqDuWWNYZOKAUgOaTOgMXriMDF+YQE2oAe6S6G5eqE3UHBnBNMMu/Rvo3M3AAOMikXpU9cA5m4Mzx6ZGgvxRwd3QfXLEAZDc2M3CA58sok9kCsoWiLqE0+kZbNUzm8NE1REN+XLR70Pb6sf6QXiOQNvoKfTb/5PlDugezUyWXNzNwRg9cIaED12g9PXAsoaQGsEequ3GpOlF36IhF3iIyDWAa8EYa3yz/GqnIwHGQSZ3a2ANnBnBhowcO0MHD/lik1pe5p9SrNbi5dDq9CuCAa0faKWvGerAvgIBPWlZCeefRVfy7/cPw+8T2+tH+EJY2MjoIriyfNHV8Bs5aQqn/DIXkCoBdiNTbA8cMHNWJPVLdj0vVibyvIzJwSqk5pdRlSqnLdu3a5fZxtrWazKIv4Cv1n2yWUDKAq0s+VbHI27kMXMomA7fWyYNMzHLJvhZl4NJrjk33rJc5OCYWDUFEEIuGWpKBy+aLuOdkHI+rUj4J6Cz5uY3sZlmqnUAIyHdoBi5vlH9WBHDK2AVX1xoBoweu43s/qSOwR4qIqPN1RADnNeZABhH9qv9ofwg+YQaublsycEYAl0va334HShm4kEdKKK37yoxyuaaXeeezwEcfA/zb51pztiaZGTiz/20kGsRKYuc/g/tOrSObL+IxNgNMTGYJpUqvVs/A+ftsXzwoFhVuOHQU2byL85iS5g64cf0+0Kdf8DCC+nqHmAB6oT3RdtgjRUTU+RjANeFcIlcKBgDA7xOM9nOZd9227IEzSygdyMBl9ZPWSNDvyA6ylrOOu99pBi55VpdfnryrNWdrUmXJ8Ug01JKfwZ3mAJPzq2fgRvv7kMkXoVJrW5d4mwJh2x64Q4sreNuNd+HHv1va8VmbljAeu99SmRCJQTL6d6KeNQLmbdgHR/XoxR4pTt0kIq9xrAdORKLQi7wBYD+AIRG50vj8m0qp1qdb2mTVyMBZ7RrkMu+6FPJAMb+ZdQMsJZSt74GzllAOR8wBGh7IwJUFcE1m4JJ61DzWju78XDtQuTcxFg1i8ezO//ofPrqKsf4Qzh+p3s84ZgwaKqbW4Ntbq4Ry64sHx1f1Gc+1aGddU0oB3PjmZeFh+IwArq4euCADOGpML/VImVM3zcEt5tRNAD3zPSAi73EyA7cbwFeMtycBeJTl890OPq7jVpJZjPQHyy4bHwhhiWsEtmc+UW5XBs4M4EI+hIN+hIM+rHVyCaXZAxceMnq2ZGcZOABYdXf4wGYPXGszcHcZC7zNUmY75qRYycS3GWKy9TwnVvXvo6u/LwnjZ2jNwIVjCGR1oF9XD5yZgeMgk5YTkUeJyPdFJCkiJ0Tk3SJS84ciIpMiomzerm/XuWkTp24SkRc5loFTSi0AqP7MysNWk7mtGbiBPjy4lHDpRB5iLky2HWLiQAYuuzmFEgBikdYM0HCMkVlB35Aeed831HwPXCmAO6qXgdcIdJy0ksxisC+AoF+/XhTrD2I1mYNSqmbwVctGJo/fndnACx69t+btRvtDEBThy67r76Udf8h2197JNf376GrGtkoGLnBuAUB9JZSlDBwDuJYSkREA3wNwD4AXAbgQwIegXxh9Zx138RYAP7F8vtzqM9L2OHWTiLyoI9YIeEmxqEpDTKx2DfZhaSOzoyelPaHNGbhMfrOEEtBZIE+UUJr9WpHhnWfg8im9DHrAnQmvq8lcaf8boDNw2UIRyWwB/X3N/RP062NrUKr6Am/TWH8IA0hDoGpn4JJbnzufNDJwqymXSyj9ofLgMxJDKB9HwCeloLgW9sA55rUAIgBeopSKA/iuiAwBuFZE3m9cVst9SqmfO35KqmliYgKLi4u2lxMRdSoOMWnQejqPokLZEBNArxLI5otYz+RdOplHlAI4mx44B6ZQVmbghiPBzp5CmYkDvsBmhjI8vIMeuHObH7tYRrmSzCIW2XzBwxxmspMyysN1DDABgNGBEAZh/F5VHWJiv0bg5JoRwLmagTOWeFtfFAoPoy+/UdcESmDzd58BXMs9H8C3KwK166GDuqe7cyRqFKduEpEXMYBrUOVIdNOuQS7zrotdBi7QB0Ac3wMH6MDb0T1wG2eA3323+a9Px3W2xXzCHo7tPAMHAKtbX2Ful5Vk+dRWc5jJTlYJHD66ionRKEb7QzVvN9gXwKjfDOAaW+RtllC62wO3VF4+CQDhGPoKG4gG68v0s4TSMZcAuNd6gVLqCICkcd12PisiBRE5KSIfFpHq03jIMb04dZOIvI8BXIPMAK7yiWNpmTcDuNpKAZylB05ET6XMOTiFMmTpgXOyJO4XnwK+9FKg0OST/sx6eaYovMMSSnP4hYuTKCuntrZincNdx9a2LZ8EABHB/rDxOLV64CrWCKSyhdL6A9d74KKVAdwwfFAYD9X3b02kVELJ6oAWGwFglx5fMa6rJgPgEwCuAfAsAJ8G8F+gs3e2RGRaRA6JyKGlJRfXWnSpqakpLCwsoFgsYmFhgcEbEXU8BnANqpyoZxof1E9Klx2aRPnlXx3BXceaLKXrJOYQk2C4/PIqWZCdShtZh77A5gCNFWOAhiPWjgGqAKRWmvv6THxLv9OOhpiMXKCDQDdLKBPZUtkksPMSyjPraRxfTeGxNRZ4W50XNgKwBjJwZvYt6Bd3e+CSy+UTKIHSgvdxf30veJR64LJc5N0JlFInlVKvU0r9q1LqFqXUtQDeDODPROSxVb5mTil1mVLqsl273OllJSKizsEArkHmTii7KZQAsLTe+iAEAN7zjd/iup8sOHLfbWVm2QIVAVww4tgagUjQXxosE4uEkM0Xkc459GQ2fsJ44CYDuHTFuPudllBGx4DYhGsBXL5QRDydL5VNApsllM1mtu46qr8f9WTgAOC8kPF7VTWA69vSA3fK6H+7cNdAB/TAbc3AAcBYoL6/L+yBc8wKALtfqhHjukbcaLx/wo5OREREPYEBXIOq9cCNREPw+8SRDJxSCslcAcdWW19i2HalNQJ95ZcHwo4t8rYuOzYzp45lVdZP6vfWASKNyMSBvsHNz8MxIJdoriQzec4I4A7qVQIuMPvHRsp64HaWgTt8bBV+n+DSfVVKIiuMB43fuZoBXHkwdMII4B61dwjr6TzyBReyV9mEHuxTmYEL68C11Nu3DbMHLs0ArtXuRUWvm4gcABBFRW9cHVTFeyIioqoYwDVoNZmD3ycYDJePP/f5BGP9IUeGmOQKCoWiwomuCOBseuAAxzJw6VyxbFpfLGIEcE5kVZQC4kYAl9pJAFfRAwc0l4VLngWio8DwAZ2Bc6pstAazj2zE0jMa9PswGA40/TM4fGwNF+8ZRDRU3wqCUbPUsGoPXJ8uey1s9oidNP6uXbJXB9PxtAv9Y6UdcJUBnP6dGJH6ArigX+D3CZJZ9sC12M0Anisilldc8FIAKQC3NnhfVxrvb2/FwYiIqLtxD1yD9Ej0IHy+rRPgxgf6sLzR+gDOnB53ai2NQlHBb/PYnmG3yNv83Ik1ArkC+oKbr1MMRx0M4DJxnS0Dms/ApePlQ0yMfiekVreW0tWSTeqMZnRMD+nIJfSZ+seaO1eT1oxMZ8wmY91sBu7BpQ084WCtGRHlYr40UioEPwKwnVlpZoMLGcCv/0k8sZbGWH8Ie4b07+lqMrvtxMuWSxi76ar0wA376vv7IiKIBP3sgWu9TwF4PYCvisj7ADwMwLUAPmxdLSAiDwC4VSl1jfH5tQAGoZd4xwE8DcBbAXxVKXVXO/8ARETkTczANWglmd0ywMQ0PuhQAGeUPuWLCqfjzvTYtU2+Rg+cQ0NMyjNw+kn4mhMllGb2DWiuB04pPYWyFRk4czG12QMHAGvt74MzVwWMVPydGYkGS9m5RhSNvwN7h+ufuD4kCcQRxWq1gNEM4PKbf3dPrqVw3nAYw2bG1o1VAqUMXEXQbfxODCNR911FQn72wLWYUmoFeoqkH8DXAbwLwEcA/EPFTQPGbUz3Qu+J+yyAbwL4CwAfMN4TERFtixm4Bq0kclv630y7BvrwwOn1lj+mtfTp+GoK+2IeXhdUrQcuGNE71FrMHGJiijmZgVs/YXngJjJw2YQu5SvrgTMDuAYDQnMHXHQMGN6vP149Auz7942fawfMLJt1kTegM3LNZODOJbPIFRTOG+rb/saGAZVAXPUjn8hi91B46w1sArhTa2mcPxItZQ4d3R1YTbUSytAgChAMNhLABf3sgXOAUuoeAH+8zW0mKz6/HjVWBhAREW2HGbgG6QycfQA3PhjC8ka25SPqra+cH1/xeB+cmWULVgShDq0RqD7ExIkA7tTmx82UUGaM4L9sD5xRQtlwBs4SwJkZOBcmUZbWbvTbZeAaD+DM6ZDnDdsEYlVEigmsI1KaILuF31JCaTixmsK+WHizZ9KNVQJmCWXlHjifD+sq2nAAxx44IqLuMz8/j8nJSfh8PkxOTmJ+ft7tI1EbMIBr0Goyh9F++xLKXQN9yBaKiKda+0TJ7IEDdAbO08xBJX6bDJwTi7yzhdIYdUA/kQ0FfDtaIl2VuUIgdrC5EsqM0TZjV0LZ6C44M4CMjukgsG/IlUmUK8ksAj7BYF95sj8WDWE10XgQbZYQ77HLpFURLqwjrvpxtloAV5GBS2TyiKfz2DsccTZju53EMhAaAELRsosLRYU11Y9ocaPuuwqH/Ei1cHXGA2c28PYb78Lvl+o/AxERtdb8/Dymp6exuLgIpRQWFxcxPT3NIK4HMIBrgFIKK8ls9RLKQWMXXIv74KwZuGPdkIHzhwBfxa+eU4u8K0ooRQSxSNCZkrj1k0BkBBja11wAlzYCOOu4+8hOM3CjgMjmJMo2W0nmEIsGS3v4TCPRENYzeeQaHM9/0sjANdIDF8ht6Axctb+XFQGcucR773AYg+EgRNwK4JZsB9ekcwXEEUW0UH/wFA36S0vtW+HouSS+fOgo4m70BhIREQDgDW94A5LJ8oFWyWQSMzMzLp2I2oUBXDWnfgNcP6Wn+RlSuQIy+WL1EkpjmXerB5kkjSdeQb94PwOXz2wdYAI4loGrXCMA6DJKR56Qx08Cg/uAyGiTJZRGkGbtgQuEdcCbbjQDdxYQ32YJpkvLvFerlByP9DeX2TodT8MnwPhA/RMh/dk44ujHuWqPZf4+lgI4M0gMw+8TDIWDpX12W6TjwM8+CRQdmPCYWNra/wb978Ga6kekgQxcq4eYxNP6+zEUsa9GICIiZ83Pz+Ps2bO21x050v7/76m9GMBV8+APgXu/Afz+B6WLSjutqkyhLGXgWrwLzhw+cMF4P46vtH7Uflvl060P4O75GrCyaHtVKldAOFj+ax6LhJzpaVo/AQyeB0RHdpaBs5ZQiuggrJkMXGR0M9MZmwDWjrZ9F5zOWG/9+2IGdVUnQ1Zxai2NXYN9CPjr/6dL0mvI+gdwLlHl76XfCAaNHriTqzqAM4cF6YC/yjnv/xbw7b8DztxT93nqllje2v8GMwPXj3A+bvNF9lrdA2dm3obCDOCIiNxQK8s2MTHRxpOQG3oygDtyNonLP3Jr7cXY5kTE+28uXbRi9NCMVNkH5XQG7qLdgzi+mmr5kJS2qhbABSJAMQcUG8wSKAXc+ErgB++xvTqVKyAcKs/ADTuZgRvaq8som5lCaTfEBNAllc0EcFHL+PnYAd1j12gmb4dWkzn7DJwR1FUdLFLFqXga5zXQ/4ZcGihkkQ8NVX+sUgZOB24n1lIQ2eyzi0WC1YfemD+zZhe311KlhDKVKyCuogjl6594Gw76kW5hD5y52HwwzEHGRERuqJVlm52dbeNJyA09GcD9cuEc7j+9gTuO1Hgya47wvv/bpfKo1VIGzj6Ai0WCCPik5Rk4c4jJhbsHkM4VG37S21Hy6a0rBAAgaDyJbjQLl90Ainngge9tCf4KRYVs3qaEMlKjJK5ZhTyQOLNZQplPl5Xf1sVuiAmg++CaGWJSFsCZkyjbO8hkNZmzzcCZf4ca3QV3ai3d0ATKUuAbHsLZjWoBnPH3Oa+vP7maxvhAH0IB/c/jcDRU/Zzm8vlmF7dXo5Te5VethBL9CObqz8BFHSih7Av4ygYEERFR+1TLso2NjWFqaqrNp6F268kAbmFZj98+Wqsc0czAJZaA47cD0DuogOollD6fYGwg1PIMnPnE66LdAwCAE6vNDftYSWRx5T/9FA8t1z9+vOWq9cAFjKEUjQ4ysWZAjh0qu8osPW1LD9zGaUAVdQYuOrp5pkak4wBETx60ajoDN7r5+fAB/b7NfXDVhv6YWeyGSygbzcAZQbGEh6tPHrXJwO21BIl66E2VrzWD9GZKZmtJr+oXJmwCuFS2gLjqh7+Q2Zzquo1IyF82zXan4qk8+9+IiFw0OzuLaLR8SnE0GsXHPvYxHOmHFwAAIABJREFUl05E7dSTAdxDZ40A7lyNAC5xBjjwh4D4S2WU5pPNakNMAF1GuVztlf4mpbIF+H2CC8b7AQDHV5vrg7vz6CoOLa7glw/ZN722RS61mW2zajYDl7GUkf3u22VXmYFvJFQZwIWQyhVau9h4/aR+P7hPl1ACjT+pz8T1AJPKCZ3hWHNDTMoycAf1+zYGcKmsHvozbJuB05c1koFLZPJYT+exp4kMXCA6UmMPnNkDp68/tZYuD+CiNUooc8aLIa0uoTR3wNkEcOmczsDpT+oL7MNBnYErFltTfh1P51g+SUTkoqmpKczNzeHgwYMQERw8eBBzc3PMvvWIngzgFs0ArtZI/sQyMH4RMPFk4L5vAQBWjL1VsSoZOEAPMml1CWUyq0fh7zeGKjS7SuBBI/NmTtlzRaszcObgD18QuP87ZVeZGYfKMi/z59fSEejmDrihvbqEEmi8rC6zvrV8Emg8A6fU1gAuOgoE+/UgkzZZKWWst77gYe7jayQDd8rYAddQBs74voX6h7GSzNkHMKU1Avr+T66ly9YUmCW3tl/rVAbOLOG26YFLZnUPHIC6fy/MLHQm35o+uHgqxwEmREQum5qawsLCAorFIhYWFhi89ZCeC+CUUlhY1k+6jlXLwBWLxgCB3cAjngecuRtYWcRKMovBcADBGhPwdAau9SWUkZAfsWgQ0ZC/6VUCDy3rsePmMmRXbNsD12Tf2EWXA6d/DawdK11VtYQy0lz/VU3WDFzTJZRrWweYADqAS63WP0EyE9fld9YATkQPMmljBm6lRsmxiGAkGmxoofpp44WHZnrg+gZH9QJsu6C9VEKZRTydw0Ymj32xzccYjoagFLCetpniWOqBa18AlzKmUAKoOzMbNbLQreqDi6dZQklEROSWngvgljey2Mjk0R/y49hqyv5VdbP/ZGA38IgX6Mvu/1bNJd6mXYM6gGvlpMhUNo9I0A8Rwf5YBMebzMCZvW+nOjEDFzQyHnX29JSYJZSPvlK//91mFs6culctA9do/1VN8RM6Cxgd28zANVVCaRPARWKAKgDZOnsXS0u8x8ovj00Aq/brFpxg9hlWKzkeqTUcxMZOMnD9Q/pncs7uZ25ZI2CuEKjMwAGwXz2RdaqE0gzgbHrgcs1n4FoVwK2nchhiCSUREZErei6AM8snn3zhGLL5IpbssmXmAJP+XcDYhcDYRcB9N2OlykQ9q/GBPuQKVV7pb1IqVyi9gr5/JNJ8Bm7JCODirc0QNiSf2qaEstEeOCMDd/5lOkCxlFGmqmTghktPyFuZgTsFDO7V/WtmD1yjJZTpePkSb1N42Li+zj4483FtAziHSiiPHdKL7/Obv1u1SiiBbfar2SgFcI1k4Izfj4Fh/b2w7YOzDDE5uaZ//yp74IAqS8dzTpVQVgnCoV/QKfXA1Tmd1FylkWrRLjhm4IiIiNzTcwGcmYV66kX6lW3bQSbmq98Du/X7RzwPWLgNmY3VmgNMAGB8QF/fyjLKZLZQyiLtjzUXwKWyBZwwMm/ullBWy8CZJZRNZuD6hoCLngs8eEtpEMrmEJOKRd7GE/K1lpZQntD9b4D+swSjTWTg1quUUMb0+3r74Kpl4IYP6CCw0YmW9bjjC3rx/Yk7Shdtt/i+4QzcWhqD4QCioQYyP+k1QPyIDevvoe0qAb9xvny21B+6N2bJwEVrBPxZh9YIJJb0CwH+rd+7VLaIuGqshLKUgcu2qAcuzR44IiIit/RcALdwNoGAT/Ckh+knt7arBBKWDBygyyiLOVy88QuMVlnibdo1qPu7zrRwkEm6IgO3mswhkWnslfQFI/P4iD2DOJfIIpNv4QTGRlTrgWs6A2cGcIPAxc/TX79wG4BaQ0yMEfZ2JXHNip/UGThTZLR1JZRmBq7eXXClAG60/HInd8E99GP9/sjPShetJmpPbY1FQ41l4CqmQ9YlHQfCQxgd0L9zthk4Ef2iQj6Nk6sp+ATYM7j5OzocqbHywLEM3JJt+SSgX5hI+Y1VEy70wKVzBWTzRQxFWEJJRETkht4L4JaTODAaxcEx3UNy9JxNwLBh9p8YGbjz/wCIjOCJmV/WnEAJALuMJ4oNrRLIpWpmnswplABKkygbzcKZmccnX6gD1zNulVHmM5v9blbNZuDScb03zecHJp+iM1/363UC1YaY9If8CPiktbvg1isDuJHmSijtMnCRFmXgzFUCrZ5EuXYcOPd7/fGRn5cuXknm0B/ylxZiVxox9vHV2y96Op7Gnkb63wBjMMxw6YWXc4kqv/f+PqCQxYm1NHYPhhGwDCoqZWztMnClAO5c/UNm6pGwX+IN6DJIfyiig84G1ggArQng4mn9fRhkBo6IiMgVvRfAnU3g4FgU4aAfuwf7qpRQntH738xeJn8AhQufg6fg3zAaqf0tMzNwDa0S+PJfAl/766pXm1MoAUsA1+AgEzOAe9LDdFbmlFtllLlU7QxcM1Mozb6xYBi44Ol6H5xSVffAiUjt3V6NSseB7MZmCSUAREcaG2yRzwCFTIt64M7qgSqV9xVzaJn3gpF92/s44Ogv9BRX6AxnrZLjkWgI+aLCep3Z5IaXeAM6wOkbQjjoR3/Ij3OJKj/zQF+pB25vrPwxSj2TdgG/WUJZzOvfgVZJLNn2vwHGvwdBvy6trTMru1lCufMeuHhK3weHmBAREbmjpwI4vUIggckx3T9y/kikSgmlUb5kWai8MfkcjMoGLs7+tuZjDEeCCPqlsR64lYWyzEWllDUDN9JcBu7BpQTOGwrjgnFdeuXKJMpCXk9TrNUD1+geuMrdaRc/VwcoS/eWSigrM3CA/jm1rAfOukLA1GgJZakUdHjrdc30wEXHdGmgVf8u/b1vdQD30I/1GZ/4Kv1nXr4fgA54amWsS71l1YIqi3yhiKX1TGMDTAAd4BsB8OhAqHoGLtBX6oGrLNMM+n0Y6AtUGWKS2Px9bmUfXM0SyqJ+UaKB/YCRFpZQmhk4DjEhonrNz89jcnISPp8Pk5OTmJ+fd/tIRJ7WUwHc0kYGiWwBF4zrAO7AaLR6CWXFk6elPU9BVvnx8JUf13wMEcFYf4PLvLMbQPx41Sf81imUuwfDCPikiRLKDVww3l/KYLgyyMQMzmwDOGMseq6JKZTWTNNFl+v3938b6bx9DxxgDtBoUQ+cdYm3qdESSvOJeLU9cNbbbCd5zj57I2JMomx1Bu5Hunz14B/pz40+uO3WbpjX2Y72r7C0kUFRNTiBEiiVUALAaDSEs3Y9cAAQ6IPKp3FytXyJt2k4EqyyRiAJDO3XH7eqD66Q1/dVo4QyEvTr0tpGe+BaMMQkbmSuOcSEiOoxPz+P6elpLC4uQimFxcVFTE9PM4gj2oGeCuAWz+psm9n/dmAkipNrKeQKFU9qEmeAgfInT2dzffhF8ZHYe/rWbR/H3AVXt4xRenX6Hturk9lCaQy43yfYGws3VUJ5wa5+DEUCCAd97mTgagVw/hAAaTIDZwnghvcDex4N/O47SBsZuD6bHqyY0X/VEqUMnLWE0sjANbJ8G7AfYuLz68sbGWJSOcDENNziZd4rC/r+LngaMPowHXQc/QWA7TNwI/3mQvXtAzjz97XxEkpLBq4/ZD/EBAD8fchl00jlCraDUmJRm4xtsaiH5gybAVyLMnCpcwCU7RJvwFJS3UAGrpU9cOZC82EOMSGiOszMzCCZLK92SiaTmJmZcelERN7XUwGc2Qe2mYGLoKhQWt5bsrG0OcDEsJLM4vvFxyMa/z1w9vc1H2d8IFR/AFcsAlmjfO703VuuLhQVsvkiosHNJ0uNrhJYSWSxkszhYeP9EBGcNxR2pweuFMDZ9MCJ6OEmDWfgbEbvX3w5cOTnUKmV0gL0SsORUOt29ZUycBUllKpQf9YsbQZwNj1wQENP1ksllHZanYEzp09OPlX/DCee1EAGrv6F6mYA1+wQEwAY7e/DSo0MXDatn2Dsi23NwNn2TJr9msNGb2GrMnA1lngDlpJqp3rgsgngsy8ATv3G9upSCSUzcERUhyNH7P/PqXZ5u7G8k7yopwK4hWW9QsAcBHJgRGfijln74JSyzcCtJHP4XvHx+pP7bq75OLsGGyihzCU2Pz699QmT3S6z/bFoQxm4h86WB657hsIuZeCM74ldBs68vNEMnN3y64ufB6gCzj/3sy0DTEyNLpGuaf2kfjJtna5pDsCp90m9mYGzK6EEjACukQxcjQAudW4z67tTCz8GouPA7kfqzyeeDKwsoLB2Emup2ovvzeBupY4eOPMFh4bWCPz/7L17lCPXfR74XQCFRwENoF/T3TPT3TOkOKRIvU3JlCyRtiSblhWvbXl9vOtxFNu7y2STzfq5TmImjmQv11l7j5zEx2stj9dObHM3cfzIWUuyJFuOKOr9si2JEjkUp7s5j57uRj/wLqCAuvvHrVuoKtS9dYFGz/RM3+8cntYAaKAA3Grdr77v931On10ccVXN2QKzUEamXqYysDvi1yjnIioPOIHjFspJzcDFELhWd3QFzkgSJBNETYHbXwc2PgVsfDrybi/ERM/AaWhoKGBlZWWk228mbjd7pyabGhwni8DtNrE8Y3oR4cszbpWAn8B1G4xE5MMErour9BSc+ZcDlz4sfZ25Qga7jS4cR8E+599IRyhwLfeKec5XXnxmOoetuoVuT22eZW0nSOAWS7dYgTMEm3AjN16Rd9h2eOZbAHMWdx98OjLABADKOQPNbl/5M5SithlU34CBhVHVVucvJI9Ctqy2WXf6jDTKCBwwmSoBSpkCd/4tg8CU5YcAAO0XPwVKxR1wACMAhCgqcDUL6WQitocxAI8UMwVu2kyj03PQ6kaQmFQGvS67KBI5A2caw4pt1734UprwDFyzwn4KLJQWT6HMuWvCiV/DhBCYRlJtBo6rwa1K5N01y4aRJJHWZA0NDY0wnnjiCZimGbjNNE088cQTt+iIBrid7J23G9nUOFqcqP8HXq+0cG528EdkqZRFMkGCQSYNXuIdtFAetGxkjQQS976DXZmWbNbmChn0HKoWU8837uYcsP2Noc2Y5W64/ETkbDkHStWTJNcqTSQTxCOsi6Ustmsd5f6ticGWzMDx20epEeD20zDpSSSBl70d99U/CzMV/R6l3V6jon49OP8GMAslALQUN/VWkGwMIVtSs8tZVYA68QRuEjbKvcvsvZ97y+C2pVcBqRz660y9mc6LVZpkgqCUM7CvMIu4VbVwqpiJtMMKEQqGmfW64CIIYzKDvm0hlSBeFYgfkZ11fK1mS0B66uZZKL0agRIAOrBgxyCbTqopcJz48j7BEGptG8WsMdp3oaGhcWJx8eJFPPnkk1hdXQUhBKurq3jyySdx8eLFW31ox97e6cftRDY1jh4nhsBRSrG+28Q5V4UCgFQygaVSNqjA8c1T2ELZdOd57v0eNtv0wl8KX4tvAJXm4Pjma/lbmZ3yYD1wd8tmCpzpswLyKoGrB2pk53KlgZUZE4arPC4Ws+j2HXGgw1FBNgMHsCTKUSyU/LOLmhu78CgKTg2vTkTPK5ZcZagalSw4Kuo3ggmUgE+BG9FCKZqByykqcKISb45JErg1N9Dn/MOD25IGcPZBpK59nr2cRIED1NNAN6vjdMAFSTFX7yKTKFMZwO5gocgu6oRRzrHOuqZfveMdcEZ+vOJ2EZoV1kPJ6yNCGFgo3ftHmINTmoHjn1tTpMD1tH1SQ0NjJFy8eBHr6+twHAfr6+vHgrwBx9veGYaMbGpr5cnDiSFwO/UOWt2+1wHHsTxtBsu8BQrcfsstJT7zLezK+CXxHNxcwSVwKnNw3EK5wqxnYRtlVJfZqGXel3eann0SGCT53XQbpUfghi1qAJi1cpQQk46EwN39NvSRwBv7X4z81bKsnHkU9HtAYyvYAQf4ZuAUN/VWlX0uScHGWHUGziNwghTK/CmW+DkRAvcMUx5nXxa8feUh5Pa+DhOW9zmLoJoGulWzxqsQAAI9cACig0xSGaDfEc7YlaICV/j8atp0i9snqMDl5wI9lH5Y/hRKQL0LzlBV4NznkypwxyOBkhCyQgiJXGSEkBQh5PjtwjQ0NI4NjrO9MwwRqZyZmdHWyhOIE0Pg1t0KAb8CB/Aybx9p8BS4MIFzAxkSCeCeR5kC14/eeHIFbkdFgeMk5OzrARAxgfMpcEtltslUSaJ0HKY8+gncQukWdcHFKXCjhpjwzy4q+CNXxnPG/Xiw+4XIX/UCNA5L4JrbzLI4tRi8nasjqqpMVJpm+Pm6DUYYZYhT4BKJyVQJUAqsf3KQPunHykNI0D5ek/imNIUSUFPgKKW4URtDgQtVM8yYcgUu6XSxFJFACQgIv6fAmYywT6pGoFkR2iftvgO7TwczcIByuE0unUTbHmUGTkDgLPs4KXBrAF4ruO/V7v0aGhoakTjO9s4wRGQTgLZWnkCcHALHKwTCCtyMiZ16Bxa/Ms0JXGgDvN/qer1VuPcd7Cq1G5cexryrwCklUXZdBa5wivVohQmcPazAZVJJzE9lcF2BwN2oWbBsJ1qBq47QVTci3v/0i/je3/hk8EZZDxwweo1ATPT+Z5IPYtW+DFSvDd1XHiHCXoqa2wEXDjFJpty5tREslKIAE0BdbYkjcACzUR42xGTneUZez79l+L6zb4CDBF5Pno8lcCoKXK3dg2U7E1Pg9prD654mXQIneI2yZ7n1HSufgUvn2czjJBU4wffH/x6YYypwVlSASxgduYWybvWOU4WAbBAvC+Do/shpaGjcETiu9s4wRGRzby/64uFxnOPTmBxODIFb223CSBKcLgc3aMsz7jwZn4NrbLPNWMjKdtDyRaLf/R1AMiOsEyjmUkgnE6MpcJkpYOGBIQLHE/PMUBy+ahcc7767y0fg5qcyIORoLZSfvbyLr16regoiAF+NwIQVOAHxeYZ8C/sfL3xk6L7SpEJM6m4HXDjEBBhNlbFqcgVOVW1RInATUODWPsF+nosgcNkiKubdeDB5CVMxVjsVBW6zxtb5WB1wgEd0pjIpGEkSqcBZNIU0bAmBi1LgXAslV+AmWSMgUOA4Acsavhk4VQKXTnoztVL4FbiIoKNa20bxFpZ4E0JeRQh5NyHk3e5N38P/7fvvMQDvBXDplh2oRiT0rI6GxviIIpu30xyfxuRwYgjcxm4Ty9ODCgEO3gXnJVE2t4fsk45DceAvJU7nWXDD838eucEhhLAy77qCusNJSLoALLyCJft1B91w/Ip7NhSHf2Y6pzQDd5krj/MDAmckE5grZLB1hF1wnDi+5J8v9GoERDNwIypwIYtcGM/1lrBnLAGXPjp031QmhWSCHH4GTqTAAexCgLKFMqLPzg9PbVEgcIbJ5rIAfOLSzvDMV3mFkYRRS9P9WP8EUFoBps9F3n0590q8LvECElSu+EybBlrdPjo98eN42upIHXCAT6Fl64MQgpl8OnIGrtFLugQuxkLpD73xK3DmDPtuFCL9YyGxUAYUeb4mRgoxUVHg3L9JtB+53mqWjalbq8D9AIB/5/5HAfyi79/8v/cDOA/g52760WkIoWPQNTQmj9tpjk9jcjgxBG6t0hqafwMGXXCeAhexeapZNpxwp9W97wD214BK9AXeuamMYgplgyXOGTlg4X4AFNh5zru7LVDgzpZzuH5gxXbNre00kTOSWJgKbn4Xi0fXBdfp9b1gmI1dX1G5rTADNxaBiyY+bdvBN8tvYmmJoX45QliE/cFhUyjr14GEwWogwjBnRuuBk1ooFdWW1p6nvll2Hz/2u5/H//uFkNpWXmU/D8a0UToOm387HzH/5uLrxgPIw4ospw8cintOyYg0n9UcS4Ez8szO6mImn4lMX631kkiTPk6Xoi2fxcgZOL8CN8NmITtqapgQtsXSVQUdcAFFPlMEQEZS4CyVGTh+XgFDFyA6vT4s27nVISb/G4ApAO4HgLe6//b/l6GU3k0pFccFa9x06Bh0DY3J43aa49OYHE4EgaOUYmO3OZRACbB5tXQqMQgyaWxHlHizTduMv9Pqwnezn89/KPI15wsZtRm4TgPIFNhGeOEBdpvPRuldcQ9bKKdz6PadWJK4Vmng/FweiVA0+kIxe2QhJlf2WuC8MlKBE87AjVgjIEuhBGDZDtZm3sKUkvVPDt1fzqklIEpR22QBJlGJgbkRkgnjLJSqaktr10ugbHR6cGgEOSots5/j2ii3n2XvK8o+6eLL9AL7H1c+J32qQZiMmEjzWc2RCVynOtSrN5M3Ii2U1S47Pxbz0YQ0aySRM5LDM3AkwS5IeKmjh5yD4+XZMQpcNp1kay5bVA8xUU2htHwELjQHV7eYBfNWhphQSm1KaZNS2qCUJiilH3f/7f9v6MQmhCQIIX9FCLnnVhy3xu3VuaWhcTvhdpnj05gcTgSB2+YVAnPm0H2JBGFJlJxoNHciEijZhi+gwJXOAIuvAp7/cORrzhUUFbhOnZUAA0D5HFMMfASOX3HPpoZn4ADgaswc3FqlGbBPciyWMkemwL24M1DdggSOz8CJCNyICpxVA0CY/TSEvkPR7TvYnn2QEcNLw99TyTQmMwMXNf8GuBbKUUJMBCXewGghJq4C1+qwtVO3Qu+Rd8FVx9w08fm3qAATFy92p7GbPCUM+uHgRd+yTsIbtTZm82mkUyP+ubKiCFy0ArffYc89JxCHAR644vvdboudr4QMahtUv28RYkq8rXCtSFaxHxDuDJxKD1ynNqjFCCVR1tzz5RiFmIwCAuDbwRQ6jVsAPaujoaGhMRmcCALHEyijFDjA7YLbbzH7Uqc2rMC5G76hRL27HgGufTFyDm5uKo3dZjfW4ohufaAgJRLMRukjcJbdR9ZIDClovMxbNgfX7Tm4st8OBJhwLBazOGjZg/TNCYLPv63OmtjY9RO4Ngt/EdjukMoBjg04isfUcT+7CPWLv690xgTOP8KCTELf08QUuHCJN4c5w1SguOh/p8+stLIZuJyqhXJA4JruZp2rJh6mFoFEanwFbu0ZlphaOit8yEGri43Cq4CXPht5fnBMK1gob1TH6IADIlXN2Xwae41hArfbYWsy4YiJZCm8XuymN2s4MQWOK14qFkrATTpVU+CyBrNQxv5Nsmrs+wUGiqCLmqfAHY8eOI2bj8OEkOhZHQ0NDY3J4GQQOHcO63wEkQFYEuWVvba0Aw7AIIWSw5wDnN4gzMCH+UIGfYfGJux5FkqOUy6Bcze9rW4PZnp4s+SVeUsUuCv7LfQdGvm+F7wqgcmrcGs7TcwVMnjgdDFYkt7riNU3gClwgLoK16lL5t981tMLjzKysvN84DEqCYixqG8Ol3hz5FxVJs7ixmeOZBZKw2SkSyXEhCtwIgKXSDLyNQ6B6/eAjU9J7ZMAI2Rbpdewz0fyOkoWylpn9A44QKDApVHv9NDtBWfBdvmS64tV87Jp4KAd6oHjgTz8uz5sF5ynwEUTuKFakZy6AsdJX6cXMwfXqQIz59j/DilwXM29TRU4jUPisCEkelZHQ0NDYzI4EQRurdKCkSTCFLuz0yaqbRuNfTcSPqTAcduU1wPHwTfc/pkRF3NumXcl4mp/AJ160AK48Aq2CazfAAC0u06gA45jKmugmE1JFbi1HTFx5YrGUdgoL1cauGsuj5WZvEciAbD5NlGACcAUOP44FXSqwuCPtj9u/e63shs3PhV4TMk0UD2MAmfVmHImUuC4KhOXRBlThwCAqZZxdrm+ze7nCpzIQgkwG+U4ISY3/pYRzvMPCx9i2X207T6q8w+yG176rPCxkfH84Zestr3y+ZFgDa8Pfg6HCeM2X3I9CYHLpYPrxXYtlID6dx2HGAvlUCpttjTSDJz/OSJBKVuPhUV2PoZm4GrtWz8Dp3HrMIkQEj2ro6GhoXF4nAgCt7HbxPLMcIUAB68S2L1xld2QH56BSyUIpjIhJYxvDjvDBE65zDtsnQsFmbTt3lCACceZaVOqwHErYxSB42T2KIJM1ipN3DWfx8qMCbtPBySx1xmobFHwFLhhRTMSEgXO8isVpbMs6bMWLPQu55gaY/fHjH53SbZQgTO5rS5mU28pKHBAvF2O2/fceSyuwDU6ERbO0sp4CtzaM+znuTcLH8LJmDN/L5vrk8zB8XCQqGh/gH2P+y17PAWuUxtS4GZdArfru7DiOBQ7LX6RIU6B88/A+S2UrsX10BbKHaZSR8x1AhGptKPMwLkETjoH122wNM1skamA4Rk492JAXL+fxp0JHUKioaGhcTxwIgjcWqWJ84L5N2BQ5l2ruApcYTiFsmwaIOHZrYyKAhdD4DphAnc/++nGr7e7/UgFDnDLvCUK3OVKEzP5dDB8hb/MEVkoq20blUYX5+fyWJ1lm1uvSsBuyy2UXIGzVRW4upD0BKxmiSQLGqldDzyGqz+1cYNMvBLvxej7PVtdzKY+ps9u8Hwxm/VQifdAgYvYsJdXgMYN9c+aY/0ZYO5e8XuGL/QnnwOWX6+QRGl4NuUwtmvs/Bl5Bo5S10IZ/ExnXALnDzKpNDtoOq6iJCFwJTM8A9di1laArbFsaQIWyl2mvgnmRIdSaUeZgXN/Rzr3avmqOcyZYxliQgg5DHuMGQDUkEGHkGhoaGgcD9zxBI5VCLSwKiNwrgJnHbiKSliBa3YjSZC3OYzofppTVeDCFsrcNFA8A2x/HQALLRApcGenc7guVeAawrm/qayBfDo5cQulX/VbcTv2XuJBJr2O3ELJ54l6ijNwlrj8misV3mdXPD2swHH73rgETlbiDajb6ixFAhdnlwsROE+BExE4YOgzkaJvAxufkaZPAv7UVgNYeYitZQmJLZvpYLqjD3x9jqzA2W02nypQ4PZ8r7d5YKELlxPIZuByaXR6zoAA2W1W4s2Rm5mMAieYfwN81uCUbwau15YSTw6TWyi7EsXZfzHBnBu2UFo2kgky1Et5k/G3hBD5IhRDkKCkoQIdQqKhoaFxPHDHE7jtegdtu4+VkYpaAAAgAElEQVTzERUCHGXTQCGTQr+2zTYuIZvffqs7HGAC+CyU9aG7itkU0qmEXIGjNJhCybHwgGehtOy+cLN0ppxDvdMTRuGvVZpCAgcAC6XJd8GtVRoAgLvmC1gqZZFKkEGVQM9SDDEZQYETWSjdoIas4S7x4ukhBa4UVc48CjwFTpJCCcSrMnz9xFooR1Tg3M1+o9sbTh4s8y64Dflr+nHtyyx5USHABHADSlbeyG688nnh46fzhjDEZLPKyPzIChz/nEIEjs/A7fnOy82qhQ7lCpx47Q3N63WbAwUOYIR9EjNwUaXwLtrhVFrVgncMLmZIZ+A8O2+JraMhBa6HYjY17Ea4ubgK4OOEkN8hhMyq/hKltO/2xn15UgdCCLmfEPIxQkiLEHKdEPJLhJBYdksIKRFCfpcQsk8IqRJCnhrlvdwq6BASDQ0NjeOBO57AcUXonITIEMK64Egr+ur3QcserhAApCEmhBBW5i0jcHabzZtkQvMuCw+wxMRelylwAgvl6bK4SqDZ6WGr1pESuMViduIWyss7TSQTBCvuzOHZ6Rw29vwKnIKFUlWB69TVQkwApmrWNgOR9lxVrbbHTKKsbbKNblpwcSBTZLN3sRbK6uDxMsTZ5cIKnDv7RikjcQFwBW6UObh1t/8thsBxMjZtpoHTr2PpmdIgk7SQRPMLDKOXeEermtNmGoQELZSb1Ta64AROvBbKnPDz9WK3gt+9OQkFriIMMAEiLNUjELisygycP1BHMAN3qwNMKKWPAvhhAG8H8Bwh5CduxXEQQqYB/CWYLfP7APwSgJ8F8F6FX/9DsE66/x7AjwF4PYD/fBTHOWnoEBINjcPVaWhoTAJ3/CR6XAccx/KMicxGBZg5NXTffquLV58tD/+SJMQEYHNwUgsl3yyFAwtOPcD60HZfQNsWWyi9LriDNu4/HdyocuIa1QHHsVjM4nNrh1QMQrhcaWJ5OueVLq/M5gdVAr22VF0YSYHr95gaJCA9VjhuvXiaPd6qeoET5UMrcJIKAYDNMamoMqohJnwGjtLoGSm+2XZn77gCBzAbZWBuaeo0I5ejJFGuPcNSUvNyoYB/nmXTAIwksPQaKYFjM3ACC2W1AzOdRHHU0AxPgQuet8kEQTlnYDdA4CzQpGvtlShwpSEFzpdCCbDvevebox2nH5TGWyjtMIFzFUaFOTj+e9IZOH4xIVtkFwK6DXY+uudmPbyObhEopX9ECPkQgPcA+C1CyI8BeB+AoYVEKf3QER3GPwCQA/AuSmkNwF8QQooA3kMI+VX3tiEQQt4I4LsAPEIp/YR72zUAnyOEvJ1S+pdHdLwaGhoTAK/T4ImsvE4DgL6goXHTcOcrcLtNpJMJT60SYXnaRKG3DxoKMKGUYr9po5yP2LSkCwBIpAIHAPOFtLxGoMvshkMkxEui/HpsiAkAXNsfTm30ZtHm4y2UscW+I+DyTtC2uTKTG5R5x83AjaLAdblSoNADBwzm1Hw2SpUSaSlq18UVAhzmjIKFssZUKpk6CbDNumOLUzqbu2wtpdj78istQ0EmyRRTJVUVuF6HhZHEqG8AmxnNGcmB+rnyEHDtS8I5rWkzjWrbjlyHWzULi8Xs6JY9y0dEQpjJpwMK3PWDNkpT7prtyxQ433qhNFjkDRx+Bq5TZzN4cQpcOoLAKShw5igWykzRU3L9KlytbR+bEm9KaYtS+vMAfhnAmwH8CYAPhP77syM8hHcA+EiIqP0HMFL3SMzvbXHyBgCU0s8DWHPv09DQOMaYRJ2GhsZhcccTuI1KC8szOSQT8g3g2ekcplGFlQ6qC61uH92+E22hTCQYgRAocPOxChzfLIUUuLl7gIQBbH0NbckM3FwhjUwqEVklsKagPC4Ws+g5NKBGHAaOQ7FeaeL83OD9rM7kUW3brD+rZw2CSqIwSpF3zNyYF2JiiAncVDYFQiAM0IhFnAIHsE29Sg9cpihMHvQQt1lv7Q7m7jBIoQRkXXCKBO7qF9j3FxNgAgxSWz2sPMSIyebfRj6+bKbh0EFEvR+b1fbo9klAOAMHALP5TMhCaaE85a4jpRm4LiOj1AnOwJkz7HX7EouiDC03MERG4MKKPK8vUOiC82bgVEJMeI0AECRwln0sFDgAIITcRQj5IJgK99sA7gVwPvTfXUd4CPcBeM5/A6X0JQAt9z7l33PxjZjf09DQOAbQdRoaxwF3PIFb35UHeXCslNOYRgMHJLjh49aumSgCB7CNd0SICcCSKPeanUGRdRgdV4ELWyiTBjB/H+jWs8OWKR8IIaxKQEDgzpRzAxUkAnxjPKkgk626hbbdx10+1W+ZJ1HutZgVS0WBUyFw/rjzCAwVHnsEbpC6mEgQlHLGeCmU/R7Q2IpX4HLT8fY2qxZvnwQGdkDR87V2B6oJQgpcVBdceQWoKloo154BQIDVN8U+tNoOpbYuP8R+CvrgZlx1O6pKYKvW8ToLR4KEwE3njQCBu1G1MFN2z8GYHjjATS3lKmg6ZKH0v/aoaCoQuKEZOE7q4wmc0gycVQNIgv1N8hS4QRJlrd275R1whJA0IeRfAvgagDMA3kIpfYxS+gKldCP83xEeyjSAqA9+371v0r+noaFxDKDrNDSOA+5oAuc4FOu7TWmFAMdqroUEodihwQ1fYJ4nCtmicMM2V8jAocHAhAA8C2UECVm4H9j6GigFcmnxhunMdHQX3OWYBEpgkOy3OaEgk8s7w3N3XhfcXlMhhZJbKBWOpyO3UFp2H4QAGXcWD4VFAGS4Cy5njGehbG4zBUaUQMmhaqGMCzABFBW4AYFrdvreuo3ugltmn4ckuMPD+jPA0qsHJEWC/ZYdTG0tzAOzLxPOwXGyFz5PHIdiq2ZhYRwCJ+nWm/EpcH2HFc3PldzPVkLgckYS6WSCrZeu221ohCyUwPhdcM0d9lMyY9iy+8G/B3Gk3ge1GTi3moOQwbxq89gpcF8H8DMA/jmAb6GUipvi7xAQQh4jhHyREPLFnZ2dW304GhonGrpOQ+M44I4mcNv1DizbkSZQcpw1GJm6ZgcJAd/o8fjxIWSKUgslICnzlpGQhQdA6psooYGcIf6aohQ4SinWdsQdcBy8W2tSXXCXeXDK/EBR5F1wG7ut+BRKYwQFzvvshhUWgG1Ss6nkYHYqlQYKp4Z6z0pmejwFLq4DjkM1xESFwOViEgdbe0MKHP+OxV1wFKhdlb9ut8UslAr2SYDXboTOl+WHGIGjw2r0YBYxSOAqzQ56Dh29Aw5gn1HCiLTszubT2G914TgUO3WmkM+V3XNQ0gNHCEHJNFhqqUyBG7dKwCNwYgXO6vaDfw+MLJDMKKl+6VQCqQSJn4Hj51RoBs7uO2h1+7c8hRLA3wC4n1L6Pkqp5M0cOfYBRP0Bmnbvm9jvUUqfpJQ+SCl9cH5evD40NDSOHrpOQ+M44I4mcF6Qh4ICl+uyTddGJ3hVZRCJLti0ZKaEISa8zDuWwIUtlIAXZHIfuQJTpsCVc6g0uoGr6nvNLmpWL5bAzRXSSBBga0IK3NpOEzkjiYXiwCaZz6QwV0izJMo4BS6ZBkAUFbh4C+VQemdEF1w5Z6A6zgxcXAcchznDQllkpLRTH81CKbLLhRW4bh+nijw9UDADB8QnUX7pd1m4x7mH448RTLUeUqxXHmLKVOWFocfzcytsodyqsvNm7Bm4bPRc4UyezdxV2zau8565GT4DJy/E9hTbKAXOdAncuEEmnMDF9MANWapzZSULJcBUuNgZOL4Wc2Vmp3QtlFzFHTkRdMKglP7XlNIRGuiPDM8hNLNGCFkGYCJ6xk34ey5Es3EaGhrHDLpOQ+NW444mcOu7bJPFbXxSuJunF5rBxwZKiaOQjVfghEEmUgvlKwAA9yVeQlYQYgIMqgSu+1Q4lQRKAEglEzg1lZ2gAsdUv3Bi4MqMiauVGkD7cgJHCFNMlBS4GALXdYY3usUzLHjEh7I55gxc/Qb7GUfgcgqb+k5V0UIpUeDsNktF9IWYtDo9zBcySBCBhbLEy7wlg9ef+U3gI78AXHgHcPdbYw/RcSgOohQ4XugdMQdXFihwfF2ONwNXi5x/AxiBA4DdZtfrQVwqm+wCQhyBM10C5ylwoSJv4BAWygpbB4b4/bbCKZQAe5+Kc3fZdBJtO2YGjp9TiaSrIDMFjl8EOAYK3HHBnwN4lBDi/yP0wwDaAJ6O+b1FQsib+Q2EkAfBAlf+/CgOVENDQ0PjzsKdTeAqahUCAIDGNgDgG7VgyAZX4EqiTYs0xIRtFOUKHAnasDgKC+hlpnEveQmmJIjEqxLwEbjLog44pw98+jcG4SkYVAlMAmuVZiDAhGN1No+tPXeDKQsxARjBm0AKpWX3kQ1bT4unhyyUY8/A1a6z6H+J3Q3AYC5KZqtTDjFxHxM178SfP6TAFTJJFDIpNKJCTIpnmMIiCjJ55n3AR34B1j3fi3/Y+0nsWxLlxkXd6sGhETOjs3czZenK54YPI5tCMkGGuuA4gVscN8REQIo5gdtrdr0LH6dLObb2YghcKedabrsugQv0wPEZuHEVuIq0Aw5g6zpnhBSwbFlpBg7gClxMD5z/czPnvHCVWpsrcJrAuXg/gA6APyGEvJ0Q8hhYIub7/NUChJBvEkL+b/5vd2bvowB+jxDyLkLI9wN4CsAndQechoaGhoYK7mwCt9vEyqwZWyEAAGhuwyYZvFBFIDXyoGWjmE0hlRR8VNmi0EJZyKSQSSXEClynweyTUfHxhKA5fR9enrgiLPIGfGXe+0EFzkgSj9x5uP7XwEf/OXDpw95Ni8WMp0IcBp1eH1f2WpHF4cszJvZr7mckqxHg96tYKHlanhGtrgotlFY1QGDLZho1yxYnhYpQ32TBKImYU8iM2dRTOqgRiEPSYOslSm3hUe+hGTgzk8JU1oiM6EcqzWoQwgocpcB/+RXgY+8FXvlD+KsHfgUf+voePvLsjdhDHFiOQwocIcxGGaHAEcLKtcMWyhvVNpIJ4lmRR0InXoHba3awWbVYUXguxRQ4yQwcwIhptdVlaicQVOAyRddyeIgZOMkFAUqpu65Da24EBc5MJ+Nn4PwXE8xZ7/3UtAIXAKV0H8DbACTB+ubeC+DXAfzL0ENT7mP8+GEwle53APwegC8B+IGjPF4NDQ0NjTsHdzaBq7RwTsU+CQCNHXSys7D7wVj9vWZXHGACsE1bvxN55Z4QgvmpjLjMu1sXWgABoF68gHvJFeQMMQFdLGaRIEEFbm2niZUZc5h0cttf/Ubg9ydhobyy14JDgwEmHKszJtLU/QziFDhlC2V9kJYXgcgCdN7Z5rNRlk0DlLKC4pGgUuINxNvquk1mLZWsgwCypeh5pxCB6/Yc2H2KfDqJqWwq2kIJsCRKP4GjlBG3p/8V8JofBX7g/8JBh5Hbpy/Fp995BC6q+H7hAWBvDegPf9bMmhhS4KodzBcyahdgwrCqQgI3WxhYKDerbSyW3KJwBQWuzGsnPAXO9/clkXBrI4Jk/dpBG3/4BYW6hmZFOv/W7TvoO/RQM3BZI4m2LZuBC11MyM96M3D8HLnVNQLHCZTSr1NK30opzVFKlyil/yIcrEIpPUcp/bHQbQeU0h+nlJYppUVK6Y9QSivQ0NDQ0NBQwB1L4HiFgKzIOoDmDhyTXf2+stfybo5M1PODb3YkQSZSC2W4xNuH/cI9MEkHxbY4JTCVTGCxmB1S4Pxl2h4aW+7PAYFbKGVRt3rybigF8AqBqOCUlVkTGeJu2mUzcADrglOtERAkUAJMgRvqwIvoggt0e42C+mb8/BsQb6GMsYIOIVtWUuC4Tc5MpzCVTUWnUAJumbdLLigFPvzPgE/+OvDgTwD/1W8AiaSnvHzyhQrsvtxGye2opVzEOTO1BIAO1qEP02Ya+81QiEnNGs8+CUhtqfx83m92cf3AYvZJgCmSCjNwrW4fttfhGFrvuekhsv77n9nAz//xV+LPseaO1EJpueEjQ7UiIyhwzEIpOA5KgyEmACOU7trSCpyGxtHiqaeewrlz55BIJHDu3Dk89dRTt/qQNDQ0jinuWAK3VbfQ6alVCAAAmttITrkEzkeGDsKdVmHwzY4gyGSukJFbKCXKSyX/MgBAsTac3OfHmekcrroKnONQrO1Gz6LxOT/UBxtor0rgkDbKy5LglNUZExlwAhenwKnOwNWkn50lJXCDJMpyLjpAIxa1zfgKAcBnoRQROHFfWSSyJaUZuKa7Sc+7M3D1joCgllcYoe11gQ/+DPC53wK+9X8E3vk+zx5adcltvdPD31yRKz0HbUlqq/f5bw7dVTbTkTNwY1UIUMpUMB76EkLWSCKfTnohJl5ISiobe/Gg5JK/TtMl3mELb25mSIG7vMPIHp8hi4TjMKVLVuLtWh+HFDhO6p34GcWczEJptwGnF5qBcy2UjuObgdMKnIbGpPHUU0/hsccew8bGBiil2NjYwGOPPaZJnIaGRiTuWALnJTGqErjGDrLlRRAypgInIHBl0xDb87qN6AoBFzey5+FQAnNfnix9pjwo875ebaPbc6Lft6fARRC4Q9oo13aamCtkIgMO5qcymEq5m9dUzAycwiYagBKBG06hHFbgSuMocJ06s7+qKHCGG44hmoHjyq3A7jcEkdrS2gVAPNLC1R6mwBliBa60zCyc//FHgS/+DvBtPwV8968ErKnVto18OolkguDp5+U2Sq6iRZ4z/POqXx+6a9ocDpO5UR1TgevUWHXD1KLwITOFNLbrHWzXLSzxWdFkmtUlSFB21adOS0DgzJkhtZX/LYqscuBo77NieAmB499p5AwcdQapthLk0pIQE/43zK/A5efY+rAOULNsJAiQl9SaaGhojIfHH38crVYrcFur1cLjjz9+i45IQ0PjOOOOJXDrFfaHUKlCwHGA5g6SUwtYmMriyr6PwDW7Xsx5JLJyC6V0/qgjn4Fr9NNYo4vI7H5DevhnpnO4UbPQ6zty4hpB4BbcDfJhkygvVxqRASYAmwVcKbpLbZIzcBLbYWRflpFjCklAgWMb8uooSZSqJd4cuRmgJSBwHZeMqc7AieadWrvsviTbXDc7bJOezyRRkM7AuV1wL3wE+PZ/Brz9PUNzhdW2jYViFq9bKcfOwR20uiBEYLOTKHDT+aAC1+j00Oj0xuuAU6h4mMln8NxmDQ4FTgcUuHgLJQDYVoNdjAiH2OSmAwpp36GsxB5ATfQdAN6cmcxCOVDgQgQqF9MP6H+okYQlmoHjf8P81mRfmXetbWMqayAxzkyihoaGFC+9FF3nIrpdQ0PjZOOOJXAbu02kU4nBfIsM1gG7ypw/heWZHK7uMQLR7TlodvtyC2WMAjeVSaHR7cGJSjmMsVC27T6ep8tIVb4uPfwzZRN9h2Kr3vEIXCSZ4sQtFGICsMCIw0BUIcBxtsAJXNwMnKKF0pIrcO2oviyARefX/CEmY1goVUu8OcwZiYXSVXJGsVCKFLhAhYBfgZMQuFP3s9d++3uAb/+nkaEwtbaNYs7AIxfm8dVrVfFMJ1gZdylnRAePmLNM5YpQ4MqmgU7P8dQhr59tHAWOh9RIFLjZfNqz/Xoqn8oMnGu5ta1mMIGSIxf8rq/tt9F15walChwv8ZYocBYncFE9cIDSHFzOSIpn8aIUOL6mmhXUrR5L69TQ0Jg4VlZWRrpdQ0PjZOOOJXBrlSZWZ0y1q8V8Niw/h+VpE1ddBe7AS9STWShdEiFU4FjKYTNq09StSy2UrW4fL2AVZG+NpRUK4K8SuLzTRD6d9ErEA+Dv0zrwNqr5TApTmRRuVBVIkwDVto1Koyu1q54usO+BqihwvRFSKAWwbGd4Bg4Y6oLj8zwjWShHVuCGkwkHBxqxaZYhW2YbbSdkgwsRuBZX4NIpFLMGun0HnV6EdW5qAfgnG8Cbf1r4krU2I2WPXDgFAHjmBbEKJ7UcE8JIVYQCN8ODRdxzjivCR6XATZtpUPeaitcTmcwo1QgAQN9qBDvgOHLTzMrYY+/jxcrA1igk0YCPwIkVuFZXMgMHKHXBSWfgOAEMz8ABTIGzbN0Bp6FxRHjiiSdgmsGLQqZp4oknnrhFR6ShoXGccccSuPXdJlaVEyhdYlM4hbMzJjZrFro9x+ulks7A8avfAgWu4BKEoSJlr/9LTOAsu4/LyVUAFNgWz8HxvrfrB22WQDmfZ7Ho4ddrbA1SEUM2ysPMwKnMGy66d+11Y5ackQNs1Rm4aNLT6zvo9p3hjS7gEriBApRKJlDMpkYr8/YUOLHCE0BuWpJCOUaICTCstrT2ohU4N8QEkBCImC67qqvAPXC6iNl8WjoHd9Cyh0u8/Zg6Hahx4CiHCNxm9RAl3vz5CwvCh/AqAcCn8qUyyhZK2hUocCavjWCEfW1ncOFFTuC4hVISYuIlix5OgbNsR+AIEMzAAUCrglq7pysENDSOCBcvXsSTTz6J1dVVEEKwurqKJ598EhcvXrzVh6ahoXEMcUcSOMedOzk/p9oBxxW4U1iezoFSRoYGpcQyC6WrAnErXAh8wzO0eet13MQ3sYrU6vZwxbiL/WPra8LHcQJ37aDtzqJFkELrgAU0LL2K/TuURHmjNr6Fcs1VGaI64DhO5diG8Vo9pjBbpUag12WPEZAeq8fj1iOWd/E0mzfykcSymR7NQlnbZHNC4Qh5EWQWSqsGgEiV2AC8eacwgdsdJF5ioNbkXQslEEMgJKi2bZRyKSQSBA9fmMcnXqhEEwAohP4UlwIEmoOfYzwEhStwY6VQ1m+wtSG5OMLLvKfconMASgSukEkxe2i3FV0iH+r9u1xpIJNi6zDeQkkGF1giwJWzIWV5lBk4l/x1ehFzcN4MnO9vklbgNDRuGi5evIj19XU4joP19XVN3jQ0NIS4IwncjdqoFQLu1e/CKSzPsE3Zlf0W9ptsUy8NMUkabCMnuPotVD94YlxaNgPn4CC9xKxaW88KH5dLJ9lMz04TV/fbggATl6QuugTOr8AVs9g6RI3A5Z0mkgmClRkxYZ7Lsg3/1XpM1LlKjQD/7AS2Q0u00QUGtsdQmfdIFsr6plqJNwePlqdRqodrBY1RwTx4aotvs07p8AxcZ6DAcYIiTKKUgFKKmtVDyQ0leeTCPPaaXXztevR6P2jZXjBMJLgCF/osuE2ZXzS5UbVQyhnRc4xxqG/GqqOcwAUUPoUQE0IIyjkDpCcicLw2wlXgKk3ct1REMkHkBLqxzchfUqxwcQXusDNwAKLn4KLUYCPH/v40d71ZSA0NDQ0NDY1bizuSwK27lj71Eu9tIJECsmWcdefJruy1PQvljGwGDmAbcFGIibt5Hrr67m2WxCpBu9tDNm0AC/cD2zFBJtM5fObFCiiFoAPOJWxLr3b/PQgyWSplsdPooC9QVeJwudLE8nQO6ZR4OU2nGXFbr8YQuFQOcGygL9nsWvLkRr7RlRI4nwpUyg1H2EuhWuLNkZtmamuUSiuxgkYiG6HAdZtsdss/A8ftdobfQjliWTmAZrePvkM9AveWe+ZACIQ2yv1WTGpr8TRgt4bIhleo7rNQjqW+AUyBiyNw7jF6FQKAWyMQr0SXTAPJXlsQYuIqcK5l9vJOE3fP5VkXn+zzr14BysvS1+UKnBle15kSADISgYucg/MCdULnVX7WVeB6WoHT0NDQ0NA4BjgyAkcIuZ8Q8jFCSIsQcp0Q8kuEkDEup4+OtV2XwCl3wG0D5hyQSGCplEMqQZgC1+IKXMymJVOU1ggAETNwHVdFikmhzKWTwMIDzEIZpeC4OFPO4bqrokkVuFP3AyABC+VCKYu+Q6XpgjKs7TRj+/ZSDnvu9YMYFchwN+2yIBPRRtOFJSo8BlgKJRCsEjDTXlm1ElRLvDlkZd5WVT3ABBioLf7Aitau+zrBGbhMKoFUMjGwUIbXoAL458I37rOFDF55phRZJ9Dp9dGKS23lymVoDo6nO/KLJls1y6u4GBkKBHvGnYE7PaICx47VQLLfjlbgzIEC1+r2sFm1cNd8Xp4ECgB7a8D0OenrtkUplIkE+xukGGICDM6RAKwacwQkQs9vzoI2K2h0dAqlhoaGhobGccCREDhCyDSAvwRAAXwfgF8C8LMA3nsUrxfGxm4LmVQCS6pX8Js7QIGFByQTBKfLOVzZa+Gg1UXOSEYrOX5kixIFLs5CKU+hNNNJYOEVzJIVEf7AccanJEQSV67AFU+zoISoMu8xbJSOQ1lwStTcnR/uxvjF/RgSwYu+ZUEmMdH7bSmBGy7zLucM9Rk4p88+u5EUuKCtLoCYQvLh54pQ4CIIXKvTR95V3oqeCjwGgXMJVclnnXvkwjy+/NL+UHce/3dZplhPDSugAJBOJVDIpAYWypqFxWJMYmkUKFVS4GbdY1zy14wo1AgAjPAbjhU9A+mbgRuE+xQwlTXEPXBOHzh4CZg+L33ddrcPQuDN1AVfV1AvEX4YV+C6EUp4pxZ9McGcQ7/BCLtW4DQ0NDQ0NG49jkqB+wcAcgDeRSn9C0rp+8HI288QQkaQG8bDWqWJ1VnFCgGAqVP5U94/l2dyuLLfxl7TlqsJHJmiMMSE29eG5o9iVCSAbdiyRtJVzSCdg+NR6HOFTPQmq36DxaRnSyw6PorAjZFEuVW30Lb70g44AEDPgk3S2NiLmW9TUuAiwhZ8EM4K8d/JFIdm4KptWxjMEUBjm3UGjjQDF7TVBWCNaqGMmIHjzxtS4HhaYSE7voWyZkUTOIcCn3qxEnjsILV1dAUOcGcRWzbsvoNKo4NFlQ7HMNr7LKwnhmAvlXL4jnvn8fAFX2x/KssslBKlG2CEP+NY0QpcugAkDKC9P+hk9BQ4wedfu85sw3EKXJeV0w8lzAJuP6C6Ahc5A2dVo9eiOetdJNAzcBoaGhoaGrceR0Xg3gHgI5RSvyz1H8BI3SNH9Joe1isjVAgALMSk4CNw0yauugqctAOOIyu2UObTKRASNQOnQOBsrsDFEzjeBRdZ4A0w4lFYYF1chcySSE0AACAASURBVIVAmfdCiSkdW2MQuMs7kuJwP3od9JMZVBodcZEwMNgUT0CBEyqnoS64Us6AQxUthl6FwDgWyigFrj6ahTJdAEhSTYFLM+ImvIigAM9C6du4v2a5jKlsamgObpDaKlPgXGIV0QU3baax3+piu94BpeMmUMaXeANM8fvdH38DXrsyPbgx6R53X67GlkwDWVjRM3CEeLUR/Nw4N5tHUWah3F9jP2diFDi7H60qA2w2UkGBy0pn4AQKXH4OiTZbY7pGQENDQ0ND49bjqAjcfQACxWWU0pcAtNz7jgyOQ7Gx14qdyfIdGAsx8RXoLs+Y2G12ce2gLd+MckhCTBIJgkI6NWyfUrBQ8ivuyE0DhUWg8oLwsdxCKXzfja0BSS0sDmbiAMzlM0glyFgWysueyhBjobTbTAEE8NJeS/y41AgKXEwKpXCzOxWMsuffcdgSGAmvxHsMC2WUAjdqiAkhTG1RmIEzM+z9p1MJZFKJQ83A+RW4VDKBt9wzh6cv7YD61KoDlZnRVIYdZ324SqBsGthv2d46XCyNYaH0CNwI3493bHztyc+D6WwCafTQTwlSV80ZT4E7Xcoil066FkrB+tpfd5/4nPR1PUU+CuE1IYAZNwMXqcDNINFrI4uOtlBqaGhoaGgcAxwVgZsGELWb2HfvOzLwEm7lBMpOnW3YfBZKnkT5wnYjPsAEYClwAgUOYFeth0NMuIoUQ+C4DbB0BqhdFT52ecaEkSS4d1Gg6HEFDmAWyuY24LA5mESC4NRUZiwL5dpOEzkjiYW4eaVeBwnXHvnSroTAcQulTIGL6qvy322z95U1BMu7eCYUYuJ2kKnMwXkEYQQFjs+tRSlwlkD1kCFbGlbgSHJgrwSbn+QKHMDSUMeyUEYocACzUd6oWbi01fBuUyq+B9hnJ1DgDlpdXwfcGBZKriyrlqz7kXLXcE++DubS7FzuEIFC6NZGXN5peBc2pCEme2ssBbd4Vvq6niIf+ZpqCpw8hVI8AwcAM6jrEBMNDQ0NDY1jgGNRI0AIeYwQ8kVCyBd3dqLjyVWRTyfxy9/3AB66S1yIG0DTfT2/hdLtM+s7VE2ByxYBuymMvi9Ezb90FBQ4v2WqeAaoXhM+tpQz8IF//Bb8yLeuRD+gscWIG8CInNMbKDdgSZTjKXANnJ/LR8/l+NGzkMywz1WuwLmb9rgUykRqoJiEIEzr4yieZhv9vhu6wSPsVZIoa9fZa+fn4x/LkTTclMCQAtfrsJmrUUJMAHezHlLgzFmmzrlodnqB9y+18ElQa9sghBVe+/HwBfb+n740UHKVLJQAUy8jFLhp08B+s+tT4MawUHJiWDgMgZOfB7MugWtSwfvMTYO2dnG5Mkhn5RdxaNR83f46UFqWdsABvlTaKGTLI87AjaLAMWV3mtS1AqehoaGhoXEMcFQEbh9AKeL2afe+ACilT1JKH6SUPjg/P8LGOAJlM42/+8Zz8ZY+Dk7gfBvy5emBNUo5xAQAutFBJlNZY1iB6zZYQW44spvf3XPQc+jgintpmc1tSQIW7l2cirZY9W22yS/4CBwwFGQylgJXacYHmACMwBlZFLMpbCgpcDEELlMMEBY/vBAT2QwcqPf+S26EvVISZX2TkQPV4m0Ody4qAE+FjTpVJIhS4Hz2SYArcIP3XxiTwFXbNopZYygQaKmUw70LU4E6gYOWjXQqIVY+OaaWohW4fBo1q4drB22kUwm1cy+M+ib7rI0xyJ9r8Y2bgSsbjOg3qUB1NqfhtPZRt3reuTGVNdB3aDRx2l+LnX8DXFIum4GzW7HqoTcDF3Uckhk4AJglNR1ioqGhoaGhcQxwVATuOYRm3QghywBMhGbjbjn4LJiPwM0V0t4mVDnEBBDaKFmJb9hCWZPbJ8NBHKUzbIMWZcOLQ7MCgA5URm4v85V5LxSz2BpRgev2HFzZa8UHmABM1UhlsTqbV1PgpAROHr0fH2IS7ILjCpxSF1zt+nj2PHcuKgBOwka2UJZDM3B7EQSuBzPjt1BG2HgVUG3bQtvcI/fO4wtr+2i6z7vf7GLaNOLV2OJpduGkH/y8uXJ3aauOhWIm/nmiUL8xmr3VD0UFrpxix13vixU44qqtfgUOEFQ57K/Hzr8B7LsoiQiUl04qt1HyC0JDBM62GHGNOq+4hZLUh5RYDQ0NDQ0NjZuPoyJwfw7gUUKIfzfwwwDaAJ4+otccD02XwPkslIQQnHVVOOUQE0DaBTdcI9CIrRAAAJPPMXmkQ2yjFIIrbZ4C575XX5n3YimLZrc/0pzUS3tNOFQhwARgdsFUBiszppzAGdxCGZNCKQn+sGxJXxYw1AXHN8UHKiEm9c3RAkw4ctPDFkqvDmECM3Bm0DLc7AQVuKnMeDNwMtLw8D3z6PYdfPYys+Lut2y182VqCQANJKECAyL9jc0alsaZfwPcEu8xCDbgI3DyLrhikqlcNUdApnIzSPQ7yKCLu70ZON7FF/oO2geM2Md0wAExBC6qHzAChlvsXmmE3qO3FiPUYHdtLRlN9WoWDQ0NDQ0NjSPDURG49wPoAPgTQsjbCSGPAXgPgPeFqgVuPRo7AIh3lZlj2Q0yUQsxkStwkSW+3Ubs/BsA5NLuV1RyAw4kc3BCcJXRI3BcgRvughulSoDHpCslfvYswMhhZdbE1f0W+qLONUNFgZNH70v7sgAfgWMKnJFkJdJKBK62OZ7Ck5sZtlDGhLGIn6sstVD2HeoGXgzUknEtlDWrJyQND56bRs5IejbKarurdr4Uo8u8OfmrNLpYGGf+DXAVuDEINqBM4KYSjMAd2GIFDgBOpZpeP2PRVeCG/g4oJlACqgpc/BzcmXIO1w5C5zm380adV9ky+khiMdkYvk9DQ0NDQ0PjpuNICByldB/A2wAkAfwZWIn3rwP4l0fxeodCc4ddYQ4FCPAgE+UQE0CuwHUieuAkG3felZYzwgqcOIlSCE+Bc5W3tMlIp4/ALfAy76p88+oHrxA4rzIDZ1tAKoPVGRN2n2KzKiBoKlHuVjXWQimcFQLYBjuVCxCIUs7AQTtmBq5TZ3OO4yhwURZK2aZZhmyJhZ/YbTYTGSJwnPznMz4FLkoFVoCMNGSNJN549yw+4RK40RQ4DAWZ+H93MS7VNApO3w3rGVOB82bg5OdAjrD7920BmXIVq/vLPSRdxUqowCl2wHV6fVi2IyFwXIFTJXCh849fEIhSgxMJNJNTmNcETkNDQ0ND41jgyFIoKaVfp5S+lVKao5QuUUr/BaU0YnL+FqO5HagQ4FhxCdyMygwctx11BCEmmRQs24HddwY3xlgorXCSYuEUSz8cS4FzrWr+91k4FbCwLbmKxyhBJms7TcwVMmrJdO4MHP9chVUCqgpcDIETzr8BLPykGOqCyxvxPXBeRP04Ctw02yQ7vlNgbAulzy5nVQHaD5V4M6JmhmoEGt0eHJHyKQAPMRHhkQvzWN9tYb3SxEGri7IKgfMUuGCQiV+9WxinxLtZYZ/F2BZKfvFATuCS7trctwXzYK4Cd6E4WE9F0QycogLn9fGJFE6uwCl0wZ0u53A9TOBiuhWrpIRZEv33TUNDQ0NDQwN46qmncO7cOSQSCZw7dw5PPfXUkb2Wnkhv7ARKvDm+/7Vn3Fk4hVkcL8Qkev6k4G7eGlZvEIrSrUstlC1vBs4lIomk2581poUyWwom8xUWgxbK0ugWyrVKUy3ABHBn4LJYmR1UCbwp6nHJNACilkIputt24pMQw11wuXR8jQB//FgzcDMAKNtg512yxS2U2TFSKAH2XEl3Qx8o8Y5Q4DIpUAo0ur2RouCltj0wAgcAT1/awUHLVkuOzE0ztSuswPkuliyVxumAO0SJNwCk3NePIXCwmfJc6URfJOhlykgBuCs/WE8DBS5E4PbWmH07xkZbiyhUD0BxBg4AzkznUG3baHR6KPBQEkt+MWEfU5iGJnAaGhoaGhpReOqpp/DYY4+h1WICxcbGBh577DEAwMWLFyf+eseiB+6WorkdCDDhmCtk8N+9+bxaEl5siEnE5i1ORYqKwi/Ju+CEaGwN5t+8g1oIELiskUQpZ4zUBXe50lCrEAA8BW6plIORJNgQBZkQwlQ4aYhJfAqlsC+Lo3g6aKE0jfgi7+oV93fPCB+yWW3jg18Zjsj3Qkb8QSadQ8zAAWyzzufq/AQuUoEbXERQhWX30e050uj4c3N5rM6a+OBXNtFT7U30FNDg55RPJ2Ek2fm2WBrDQukppOMSODUFDl22dne60de/NruMfC5nB2t4kEIZtlCuK8+/AcOF6h5GmIHjc3nX9n0XSWIUuIozhRKNJ4caGhoaGhonEY8//rhH3jharRYef/zxI3k9TeAaO5EWypGQygIJQ1ojAAB1/xxcp6FUIxAgIsUzY87AbQ8TuMJCIIUSGK0Lrtq2UWl01QJMAJfAZZBMsIRPoYUSYJ+nSIHrdcRx5y54iIkUxdNMAXKYrbWcU7BQXvsykJ6Sbrj/7ce+iX/0/3wZX1wPBZa4trrAHFynxmbxkuqKGIDgvBMvY/elUHL1Nh8KMQEEMfYCxKo+Lh65MI/Pu+9XKcQEYGpyPUjgCCGeBXMsC6WnwI07A+eSz5gZONhs7W61o9fY5QYjn4vpwRo200kkEyTCQqnWAVeN+y6MHFM1VRQ4l8AFbJQxClzFKaDgHK/8KQ0NDQ0NjeOCl156aaTbD4uTTeDsNrMyFg5XHg5C2JVrgQI3NP/S67JNYnoMBa42IB3KiFLgCgvMCuab21soZZUtlGuVERIoKfUUOAAKVQKmWIHzgj/EtsPYGTiAkWGn5xW5l00DB20bVFKUjqtfAM5+i7B8nVLqBXr86keeDz5XziVY/iRKS1CcHAd/55dH4HwzcG4AjhkIMWEb/6EwHQliVR8X3EYJQG0GDhiaQeTgFsxTU+MQuBsASKSirgRlBa6JHlLYs6LXygv7PbRpGrOJpncbIcTtg/R9/n0bqF4dSYGTkulsSWkGjhO4qwcRClwEgXMcihu9AsxeaIZT47bEzZzR0NDQ0DgpWFlZGen2w+JkEzh38+4v8R4bmaIwxKQQtq913TQ3aQplaAYOAIpnmfrUqox2bFEKnFfmve3dtFjMKFso1yrsPSh1wDk9gDreDN7KjImN3ab48YZEgfPS8uQBMEoKHODNFJZzafQdKi677jaBrWeBs68XPuWLOw1cO2jj1WdL+PzanhevDwAwuQIXslCOGmACDBS49oGAwA0rcFOiGHsJlEgDgIfumkU66RbfKytwS0wxCxHmspnGXCGDtKjDT4b6JjuXR1U0OZRn4Fqwkzmh5Xat0kSNFJCzg2rYVLjK4eAldl6odMC1FAmcggJ3aioDI0mGFTgjP5TGC7C5yV1aBOEznBq3LfiMxsbGBiil3oyGJnEaGhoah8MTTzwB0zQDt5mmiSeeeOJIXu9kE7gGJ3CHtFACTEmR9MABPgslJ3qjWihL7uxVdQQbZafBCGNYlfDKvAdJlIvFLHYanWBapgBrO00kE8RLlZSCkzFX4VidNVGzemLLYkoyA+d9dhOYgQM8FYin+wm74K7/NUs4PPsG4VM+fYkR63/937wWyzM5/NpHnh+kPnIFzm+hnJQCl8wA6YESOpiBC4aYAKNZKFUJXD6TwuvPM4KqrsCdZt9xqFrhFadLeM1yWfkYA6jfGN8+CQwUuDgLZbeFXpIFgUSlel7eaaKVKg29N9YH6VtfI3XAse9N+l3kykozcIkEwWIpG5qBqwrXYq1tY5+659uoF480jhVu9oyGhoaGxknBxYsX8eSTT2J1dRWEEKyuruLJJ588kgAT4KQTuCYvuJ6UAhczAxdW4GRF3t0+EgSesgFgEJ4xCoFrhkq8vYPiCtyAwC2UsqAU2KnHd8G9WGlieTqnppRwRcNnoQSAjT2BCidT4BSi99vdPrKpGALHqwDcuamyuzGuipIor36B/Tz7oPApn760g7vm8zg/l8dPv/0Cnr1ew4e+tjk4XpIIWihjwliESKWZzZTPwJmzzMbrwlPgMsEaAWC0EBNONuIIHAB858sXkE4lMD+lGD7idcEF5+B+8Xvvx2//PfFnLEV9c/wAE2DQA6eQQtlP5UBpNCFeqzTRT5eDaiuYAhdQQBU74AC2LlnIi+R8U1TgAGajHFLgBOdUrd3DLtx12tQE7nbGzZ7R0NDQ0DhJuHjxItbX1+E4DtbX14+MvAEnnsBNUIHLyBS4EIFTVJHMdCqYglk6y36OUiXALZJhBS7SQqneBbe20xwtwAQYEDi3SmBDFGQiCzFR+OwsFQUuP8969dzPkhOPdZG188oXgJm7A2Eh4df83OVdbx7s+15zBhcWCnjfRy+h13eARIIFmQQslPI6BCmyJZfA7QXskwDQ7EYocKIURAm4QspnOGV49xvP4WM/84gS2WNPGt0FdygcVoFLJNiaUEihpCm2hsPl781Oj50/EcXtxbCFcn+dkcZC/DHH1TkAYNZaRYvj6XCZt+RiQs3yK3C7Ss+vcTxxs2c0NDQ0NDSOBiebwHHyMokZOEmISSaVgJH0JdB11GbghoI4zFlGbkZR4LhFMqzA5aZZcqbPQsmT/7Zi5uAch2Kt0sT5OYX5N0CowAmDTIwc0IshcBLroWU78SEmiYTbq8cslK88U8JsPo0Pf+3G8GMpZQrcstg++bm1PXR6Dh52CVwyQfCz33UvLlea+KMvud9XbmYyFkpgsFlv7Q6Rylanj2SCIONTR810EgkyqoWSPTYuxARgtrxlFTsth6fADQeZjIW+zS7IHEaBA9gaVZiBI2mXwIUstzzcJ12YCaqtYCpogEDvrTH7ZCL+z3C1bcd/DyMocGfLOWzVrIFdulOXWih3qXuftlDe1rjZMxoaGhoaGkeDk03gmjtMATHGSLwLQ2KhJIRgKmsMEgD54yQWSsvuBwNM2BO5/WXjKHAhAkcIuy2izDtOgduqW2jb/RE64PgMHFO5zHQKc4WMuEoglQVswTHExJ33+g66fSc+xAQIdMGlkgk8+opF/NVz214CqIeDDWZFldgnP3FpB+lUAg+dH6hh33X/Al6zXMa/+dgLsOw+I81DFsoRS7w5+GadWyh9aHZ7MNPJgHrLUxCFIS0RULLtjQtOtCalwDW2AdDDKXAAqxKInYFrgmTY2g+Xv192CVx++hQj676QlqEQk/0Npfk3gJGoWAUuV2ZrQpak6uLMdA4OxSC0SGahtHrYh1bg7gTc7BkNDQ0NDY2jwckmcI3tyahvgKvA1YWbJxYhPkoKZS+ahBRHLPNubAEkGW39C5V5z5hpGEkSS+DWdtgm9S5lC2VQgQNYkIl4Bs6UKHDy8murxxSFXFphaYfI8DtfuYRWt4+PP78dfNzVL7Kf0gCTHXzr+ZmAdZMQgp9/9F5sVi38wWc3XFudS+CcPlsH48zAAYPNegSBa3X6gQRKjqEQjRjULAXSMC5SacCcm5wCd9gSb45UVl4iDwB2C0k3gOgglES5ttNk11mm5wHHHpzrAIpZA41Oj9VLUKrcAQeoWihLLGjH95oinA53wXXEanDdstGFAZouAE1N4G533MwZDQ2N2wm6YkPjdsLJJnDNnfE7o8LITLFIcMHmaSqbGgRIeBZKWQqlEz3HVTo7ogK35c57RTxXqMw7kSA4NZWVWii36xZ+7zMbABQrBIDBhtindK7OmLiyJyBphkSB69TZ3FAqOiwjsj9PBK7AuaT7W8/PYDafxge/GlKFrnyeRayfuj/yaa4dtPHN7UagD43jTS+bw5tfNoff/C/fhJ32zSjFWEEbnZ5cLcuWmJrX3o9W4DLD7z+wBhWgZNs7DIqnJ6fAHbbEmyOVZj2NMtgtpLLMhhYOvblcaeB0KQejMMdu8Flmp7Ip9B3KQmZau+xvhaICpzwDB4zUBefNwcWEmABg60wrcBoaGncgdMWGxu0GTeAmpcDxzY8kyGQoxERa5C1Q4Epn2Wa1r7gRb2yLSWphIZBCCQBLpWykAtfs9PDrf3EJ3/5rH8fHntvC//QdL/Msl7GwgyEmALA8Y+J6tY1OL6IY2FcjcNDqBi2NMcmNllu/EDsDBzA10xdlz22UH/tGyEZ59QvAmddFdmQB8Mq7H44gcADwvzx6L/ZbNr6y50uhlKRpfuTZG/i2f/VX+Cd/9BXxsWfLLpGnwwpcV6TApUauEThyAjcxBW5z8JyHgYoC123ByHIFbngG7q75PLPLAgHLrFcnYvXY/Bug1AEHjKDAAUpzcAEFrm8zxTsbbeetWcxKS/JzegZOQ0PjjoSu2NC43XCyCdykLZSApErAQJ0rKt06IykCQgCwTfjQDBzASAd1hoiXEI0tsSoxtciuqPcHm9CFUhZbtcEMUK/v4KnPbeCRX/s4/s3HXsB33HsKf/kzj+DnHr1X7fUBXwrlQDVbnTVBKYJdVBxGFtRu4b1/9ize8MTH8Msf/Prgvk49Nr0TQHwKJTBU5g0Af+eVS2jbPhul3QZufCV2/m2plMU9p6IVyVcvl/HdDyzik1f7gN1kllJO9H0KXKfXx3v+v2fx93//S6i2bbHFFHA3265dN2SPbXZ6kWunkEkNuggVoDR3dRhMLU1WgSNJZss8DJJpoB+vwCUzBRQyqQCBo5Ti8k6TWYv5dxJS4AA3CXSEDrhuz0Hb7qvNwAFKXXBZI4m5QpopcDFzpTVO5M05rcBpaGjckdAVGxq3G04ugevbbB5pYhZK9+o1V9dCYBHiPMSkIbVPAoyIZEUWSkB9Dk6qwJ0aPMbFYjGLG1ULlFJ89NkbePRffwKP/+nXcH7OxJ/+wzfhNy++DquzirNvHB6By3k3rfIqgVASZd2y8emNJojTwx98+kWkUwlc3vHZUiVpeYBPgYvrgQMio+zfELZRbv4t4PSAs6+Pfmt9B5/8ZgUP3zMfrHwI4ecevYCdvvu5tfaGZvnWKk286//8NP7dp9fxE992Hu985ZK4VBwIqiVRClwmegZupB64oyZwxdNM0YlLfVQBrxBQSHSUIk6BcxzAbgGGiVLOCNQI7DQ6aHR6rF6DK3BtvwLHvpOa1Rt0wE2vxh6SV6huTk6BA5gKd3W/zUq8AXEKpWWjmDXYOtMzcBoaGncgdMWGxu2Gk0vg+JXkSStwAgtlIetLAOzUpQmUAJvlMkUhJgBQU6gScByWnhhOoPQOarjMe7GYRdvu4wd/69N47Pe/BArgyb/7LfjDv/9GvHZlOv41o+CFmAwUOB45z5MoO70+fueTa3jk1z6Oj19mJPjD/+gNeMs9c6g0fIqIZFYH8M3AjanApZIJfLffRukVeEcTuL+5coC61cMj98rX0ctOTeHCebZZ397e9PXZlfCf//oa/s6/fQbXDtr47Xc/iF/83vsxP5URl4oDA7UFEKZQhjGWhTJ7xAocEKiyGBv1zcPPvwFsjcpm4Hi4TtpE2TS8rjwAuMzDfeYLrDICCClw3ELpKnBTS6wyIwYegZvgDBzgK/OOVeB6KOZSQH6WEW6FlEsNDQ2N2wm6YkPjdsPJJXCigutxwW19neir33zzTClVSh9si8qoSy6BU1Hg2vtMPRIRuCn3dp8Cd2aabShf2mvhf/3+V+CjP/UwvuuBRam6FAuvRmAwAzdfyCBnJLFWaeKPv3QVb/0/nsYvfeDrePnSFN798H0AgLvLScwVMqg0fAqNooVSaQausACQhFclwPFOv43yyueB8qpwnTx9aQcJAnzb3fHWvXe8/uUAgD/91Fe9TfOvfvw6fuo//g3uP13Eh/7nt+Dt97PvpJgzULd66DuCzbJMgROkUBZGIHB230Gzq2DbOwyKnMBNwEZZv3H4BErAJXASBa7rKsZGHmXTCNQI8A64gALXGhC4omeh7A064BTACZxSDxwwkgJ37aANao2gwPUspkBqAAAIIf8DIeQFQohFCPkSIeRtCr/zHkIIjfjvu2/GMWtoaAxDV2xo3G4QD2Hd6WhOsMQbiA0xKWQM9B0Ky3aQ68QTuFZXQOCyJRZ+opJEySsCZCEmQEAB+c77F/CbP/I6PHLvPAoRNryxEKHAEUKwMmPi339mHZSyIu3//QdfhTffMwd8+QX399qYLaRx0LJh9x3WR9aRK3DcQqmUQpk02GcQInDcRvmBr27iHZtfBM59m/ApPnFpB69dmY63twGYP8UIxt9cWsOzpSIeAPCfnq3hH7/1Qfzk2+5Byte3xolT3bJRNtPDT5b1K3ChGbhuL3LtFLMGun0HnV4fmRiLac1TfY7wT8QUV0AnEGRS3wRW33T450lm5DNwtjuXmDZRNtN4bnNwvl/eaSCdSrCExwRhKntbEGKyvw7c9e1Kh1RTVuBGI3BnyjlYtoNGzW15E5xXdauHCwvGYL6wWQHSI9qo70AQQv5bAO8H8B4AnwTw4wA+QAh5PaX0azG/XgUQJmzfmPhBamhoKOPixYuasGncNji5BK7BkgNvVoiJP8Ag16lJ1YK+Q9HtScqoS2eAqoKFklsjRQpcns/ADaoEjGQC73zVBJQMP7wagaBd7OELbEP4k2+/B+94hU/l44+zLcwVGOnbbXRZ6mVMCuVIISZAZDE6t1F++st/CySvC+2Te80uvnKtip962wW113KJ1lyyiQ98YRMPGMBv/L1H8NB9Z4ceyjfr1baIwLmbdSMf+Fwppe4MXLSFEmAb8kwhhsC5Sp0KMR0bXIE7LIGz3STRiVkoVRQ4E+WcEbC5rlWaOD+bRyLhruPcTGSISbNZZ+mbIypwsQQukWQkTCHEBBgkUR7sVVwCF31eMQUuNVB6W7tKs3snAO8B8O8ppb8MAISQpwG8FsA/BfCjMb/bo5R+9mgPT0NDQ0PjTsXJtVA2J2yhTBeYHU8QYuJtnju9WAslJyGRKZQAm4NTUuD4exQQuFSabcp8BO5IwGsEkkEi8vg778dHfvphfM8rl4IWTW617LU9AldpdNjsTZyFsusWeasocMCgCy6Ed75yxXLf0wAAIABJREFUCS/vP8/+ISBwz7ywA0oRO//mwbXVves+E69bSIAmUnjo3jORD/UTuOjnchW4kH2y03PQdyjMKAtlxmfhi4Fn2zvKGbhsmQXbHNZC2ZhQiTcQPwPH7YNp10LZspktGmwG7q55nzKVKwdqBMx0EskEQaLqppqNUOINKBC4iNeU4axrl67XXJIZUSNAKUWtbTP1MO8qcDqJEoSQuwBcAPCH/DZKqQPgPwF4x606Lg0NDQ2Nk4ETTOB22OYxJkxEGYQwYiHpgQPczXNMCmVsGXXpjNoMXJyFEhgq8z4S9CxGylTn6Hjht93G/BQjfTuNDnsepydNoWyPYqEEXDI8TODecH4Gb8qsoUvSwMIrIn/16Us7KJsGXnkmuj9rCIYJJDN47ZyD77zbBMkUhZ9JLIHjm+2QfbLlrp18ZIgJe06VJMqRSMO4IISpcIdV4LgF+KYocK6F0jBRzqXRcyia3T7svoOX9lps/o3DDCpwhBAUMilk6i6Bm7QCBzASq0iIuQLX5gQuwkLZ7PbhULAQE78Cp3Gf+/O50O3fADBDCIm7qlMmhFQIITYh5K8JIe+a/CFqaGhoaNypOLkEruGWeB8mnCOMTFHaAwe4m+eYFMpBkqLA4Vo8yxTEuPj1xjYjDTKSGlHmPXH0OoEAk1jwugHbp8DVfd1pCkXeGUNxaU8tsV6+EPFOJRN4S24NX3XOo+0MkyHHofjEpQre/LI5JBOKa4iQwabeqkmJaCyBS08xxTecQOkmnZoR84sDBS6+C+6mEDiAzcEdVoHjvz8JBS6ZAfqS88pT4EzPXnrQ6uLKXgs9h7IESo7cdGAGDmAXcszmFfaPEUq8zXSSzYDGoahorwYwbRrIGUl0mvvs/EwNW3VrfiWWr7WmLvMGwCN5w37V/dD9UfgmgJ8H8EMAfhDAdQB/rEmchoaGhoYqTu4MXHMbKExo/o0jU4xV4BqtNktllEXhx6lIPImydl1uw2psMfVNRlKnFoHdb4rvnwS4AqcKrsD1LJ+Fsgt03I11TIgJIUAmpUjgeC1DfTNIqHodLFuX8OH+d2Lr+W18zyuD5OAbN2qoNDp45MKIayg3PUgHlbyPskcOBGQrkWC/H9EBByAyhTJg442BcnDGYVFcYkmfh0F90hZKCYHzFLg8yrnBd7RVY6pdQIELzcABTAUttq+y2cW8Wul4dZQ+vtIZ4LkPMrtxzMUpQghOl7Pot6riCgHLl4CZLQGJ1B2rwBFCSgBiFxGlNKy6jQRK6R+EXvfPAHwawC8C+BPBsT0G4DFA91JpaGhoaJx4BW5C828cWZkCxzbP7SZXkcSqWKvrqiiyGTggfg6usTXoehOhsMAed5TdTj0rkEAZC8PtYrHbyGdSyBlJNgPXkfdVAUy9zBlJ9dqDiC44AMCNryLhdPFi+uWDUm8fPnGJqRAPj0zgZtiMUkyfXawCBwDf8QvA694duKnJ105EiEnRn4IYA+Xo+sNiaokRsMOsv/omm6/MjdlT6AcncKLj8SlwPFym2ra9Dri7AzNwnKw73k3FbArTHffCi+IaHYnAFc8yBVFRJTszbbLzSlQh0O65x224CrLbBXdn4ofALJBx/wEDpS3sn54O3R8LyoYo/wTAq8j/396dhzmSl3eC/766pZSUWZVZ3V1V3ZXZB37abRhjUzZrrga8O8ZgYzxcs5swZrAp2/AsHszSeClsN/bUPOZh8PrxMWMnvV52cXpmbYYZbC7PjIGetcHcC4uhwdB1dFdfVV2ZlYdu6bd//OInhaQIKSKkkBTS9/M89WSlpMyMUiqz4o33EnH8pa+U2lJKnVZKnT52bMwXHinytre3sbGxgVgsho2NDWxvb0/7kIgoZIsbwB1eCScD5xLAmZPnaska8T3KLrNla2rhsFKpgyeGD2nJ36jHppc9n2/45zcDl+hk4ABgrZDqCeAGP3ee+98AWwDX04dlLfA+eudz8Emz1Nvm/m8/gTtvKuDGoo9/FwDkrLK66v7AEspMMo5UItbOhDl65s8Dtz6366ZS1T0Dl894L6HcK9eRSsS87dMbRfGEDjg8Dt5wtP+YziSPoxw6kQagdIbUSc8eOEBn4B68eogjuWT3xNDcUUC1un4nFDJJrNUf9dz/BlgL1f1k4ABgz1sZ5cmVDOK1/QErBEwgb72ecmvA4Xxm4JRS9ymlZNgf6+EmC3dnz6e5E8A1pdQVv1/e+kPky/b2Ns6cOYOLFy9CKYWLFy/izJkzDOKI5txiBnCtlg7gwsjAuZRQmrHutUMrgPPQAzc0Azc0gHvcfQKl0V7mHeIgk0a1UxbpRbLTAwegs8zbTPgcEsD5CjoKLqPsH/o8ULwZz3vG01CuN/Gpb3WWnR9UG/jSxR3/5ZNAJytTdS9bM5Z7xtR7cTgge9su4/WYgQu9fBLoPP/7Iwwy2X90POWTgO6BA9wHmdj3wJkSynIND1456O5/AzoZQVsf3HI6hptaj/kK4PZ8ZeDM7wYPQ46gd8FlWgdoDlghANimkeaOzm0JpR9KqQcBfBs6awcAEJGY9f7H/Xwu0eUCLwfwVaVUc9jjiezOnj2LUqnUdVupVMLZs2endERENAmLGcCVdwDVHN8OOCNdcM3AJeIx5FJxNMveghBgwC6zVE6fHA4qoWxU9b9zWABnSiz3QxxkEjQDZw/g9mudAG5A5qpSd1mA7iaZ0VmF3ufy4S8Ct/wQnnnrKtbyKXz0a50yys9+90nUmypgAGcroRzw7wCCBXCm/HbJYYhJMh5DJhnz1gNXmVAA186AjjDIxGTgxqGd/XVZJVArARAgkWlnxXZLdb0Dbq1nuXXWmhBqy24fT1xHGjXfGTjvPXBWdt7jZM8TK1kUUEY55ryY25RQmuAfS2vzXELp170A/rmIvFNEXgDgjwE8BcBvmQeIyN0i0hCRu2233S8ibxaRfywiPw3gowCeaX0+Il8uXbrk63aWWxLNh8UM4No74EIaYuLSP5NPJ9AsDy8DLA1bIwDoXpdBV9kPPO65y08gA1f32wNnZeAaPRm4ivceOF96d8HtPwZcvwTc/EOIxwQveupN+OQDnTLK//btK8gm43jGRoCeq9xRoFXXy5YHvAaAgBm4qvsaAUBPQ/U6hbKYmcCMo7Fk4B4bXwbOTGJ0zcCVgNQSIIJMMo5sMo7Lu2U8sV/t3gEHdDJwpU4Ad1LpnzPlcQIl4DOAy63pfkDPJZRZFKSEA5VzvN+U8BbaGbhVZuAsSql/B+AXALwOwCcA/CMAP6GU+rrtYQIgbr01vgPgXwD4MIA/AVAA8BKl1F9M4LBpzrgNtXG6neWWRPNjMQM4E6yEUULZqrue/BUyCSiTRRpQQlkZloEDdK/LoAzcsCXe7YOaRAmlzwxcPAVA2gvAj+VTuFaqoelpjUALGa8rBIzeXXBW/5tZ4P3ipx3vKqO8/9tX8KzbV5FOBOgPM1kZIJQSynb5rUMGDtBDNLwOMZlMCeVNACR4Bq56oLPe487Aua0SqB12huxATwv9yiU9Sf623gyc2dFnK6G8qakz3eX8LZ4Op95soVRrev9exGL6goTHEkqdgStht5V1vH+vUkfW6scEoAPE8g7QHP4aWgRKqfcppe5QSqWVUj+olPrrnvs/bfXOfdp2288qpW5TSmWVUktKqecqpXyVXRIZ586dQy7XfQEml8vh3LlzfY9luSXR/FjMAG7non67MuZxzOaE3ARpPQqZJFTtwHrsoCmUQ3rggOH7nrws8QZ0MJRcCneZt989cCI6C9ceYpKGUkDlYFfviIu7n8z67oEDrGXSthPeh7+gg8jj3w8AXWWUF64e4tK1kv/pk4Z9UqKHEkrXNQIuTA+cWxayMGsBXDypS5mDZuDM67xwYkzHYzJwLgFcvaRLmC3L2SS+9Zi+sHDrWm8PXH8J5Vr9ETSVYC/tLWMYaB9fccjFHZubCkksSRXXGs4Z8r1yozPABOisrQhz6BEReba5uYmtrS2sr69DRLC+vo6trS1sbm72PdZvuSURza4FDeDOA7Fkp19kXDLWROkBu+BiNdMDN7gMEAAygzI8yyd1GZ7ZS9WrHcANycABOsgLc5l3o+wvgAN0AGfrgQOA2sHwssOK3ymUgM5YlHfaXw8PfQG46R+1yz7tZZSf+Hv9PAXqfwM6WRnAUwZu4BRKByWrhNRtuXg+k8CBpz1wjckEcIAVQAfMwLWXeI+7B84tA1fSFzwsK7kkWtbKtfXVnjJE8/vANmHzSO0RPIpV7Ne9rxAAAgRwHjNwyYa+oPRE3SWAq9Q7A0wAYMkK4NgHRzQzNjc3ceHCBbRaLVy4cMExeAP8lVsS0WxbzADu2nngyDoQG/OIdBNcVK873l3IJBBrT7EbMIWy3kQmGUPM5SQcALBslWC5naiZEkovg1oKN3UeH4ZG1V8PHKAzbSYDZwVw9fL1oQFc2e8QE8C2V+8RoFkHHvkKcMsPdz3ElFH+wae+g1NHc9joLZfzymcJ5X61gWbL+3Txw2qjPfHUScFDD1yrpfSJ+6QCuMKJTiDmlwn8xt4D55aBO+zKwK1k9eNPrmT7M7/xhA7ibNmqQukhXGzd2J7uOEygAG75pM5otjwMNLQuNj1aSTnevV9pdL8OTAaOfXBEkeOn3JKIZttiBnA75wEfQwQ8MyfkLhm4fDqBRP1Ql2klnE+YAI+DONpBh0sZ5cHjOlgY8HU6B3Zj+FMok849Nq6SGVsGTv8bWuXrQ8sOAw8xAXQA9/jXdcbw5tNdDzFllPuVRvDsG+C7hBKAryxcqdZEzmEHnJH3UEK5X21AKZ9BwyiKxz1PTewz7gycWSPg2gNX6uuBA9C/QsDIHunqgcsdPoxL6gbseShjBQIuVC+e1HvsvFyUsabmXi47f36dgbOXUK7ptx4XhRPR7PBTbklEs23xAjildAbuaAgBnDkhd1klUMgkkWoeDM0iDTsJB9BZ2OuagXvc+0lt/sbw98AFycCZAK5gfWx131MGzn8PnC0D9/AX9d9v7s7AmTJKAMH734DuAM5DBg6Ar0Emh9XGwN7JQiYxdA/cXpCgYRSFEzrIqbtMfhxk/zFd0jjkdeHZsBJKM4XSsmwCOLeMbPZoJwNX3UeychWX1I2e+hCBzvfCXwbOrBLwUEZpXWy6dJhwzPTuleudCZSAXiMAsISSKKK8llsS0WxbvACudE0HWGFm4FyGmOTTCaRaZagB5ZOA7uMaOkmxcAJ6et+AEsphA0zan+tG/ZzUSsMf65dSOhDz3QOXaa8RKKQTSCViun9wSNDjew8cYFvmfVkv8M7f5Ngf+bpn3YqXPf0EnnPHmr/Pb5dIASkr2PCYgfMTwJVqTccdcEYhk8RBrYHWgLLMQGV7oyiaVQIByij3H9UXKsRbT9lQw0ooe6dQWiWUfSsEjOyRTg+cNTzpkrrB0yoHYIQeOGDwkCPDuti028riyn7/v3mv0jPExJQA2/r6iIiIaLIWL4DbOa/fhpmBGzDEJI8yWsnBAVyp1hiegUukdIDmdpJ28Li3ASZAZ5l3GFm4Zh2ACpCBy7QzMiKCY/k0Eo2DgQFco9lCvakGD39xks7rXqW9R/QEyptPOwYEd9yQx+/80x/wHyD2Mlm4YRm4XIAMXG1IBi6dgFLAQc09A9TOwGUmFcBZJayBArgx7oADbBk4tz1w5e4eOOt71LfE28jZMnDW756L6gbPGbjrpVEycB7KUq3fVfvI4fJu9wUcpRT2yj1DTBIpIL3MEkoiIqIpWrwA7poVwIWRgTOZFdcSSh3ANYYEcGWvkxTdxoUrZQVwHjNwYS7zNifCCb89cNl2Bg4AVvMppBuHg3fANVoAgGwqwMu6cAJ47Gv6JLtngMnY5Y4AkIGDbICAGbhqE0sDgv+C1c80qIxy4hm4gq0H0S+TgRsXs0agWXO+v97dA/f0W1Zw1/EinnZy2fnx9h64nQsAgMtyo68MXNceNi+yR/TPm5cSSut31b7K4fJud9BarjfRaKn+UtrcUQ4xISIimqLFC+B2zgMQ4MjG+D93PKH7cVwzcEksSQX1eM7xfqNc81gGuOwyLry6pwMnrxk4s8w7jEEm7QDOZwYume3qiVpbSiGjSgPLDs36Bd9DTACdBXroc/rv1gLv0GSP6kA0NvjHb8U6cd71m4EbNIXSyqYMygC1A7jcjJdQKmVl4MYYwA3KwCnVV0L5vceL+NgvPRcrOZdhQdmjQOW6ngh57TyQWYHKrHjPwAXZxydi/W7wUEJZ0RNz95HF5Z1y1117ZX2MfZnYpTX2wBEREU3R4gVw1x7UJ+tJnz1ZXmWKrmsE8mmdgasNC+A8Z+Bu1lfZVU8/k5k+57uEMoRVAu0AzufznejOwJ3INRFHa3AGrm7tzwsawAFALAEcf7r/j/dj6RiQXRl+SAGnUA7KwOVNBq7q/jnNiPuJZeDSRX3hw+8uuMp1/RoZawmldaGh4ZCBa9YA1ewqoRzKlMuWd3UG7siG52XqwAgL1YsnvGfg4ilkskt4ZLc7gDNZwq4eOECvEmAGjog82N7exsbGBmKxGDY2NrC9vT3tQyKaC0MarebQtZBWCBjpousQk0ImgbyUUYkN3iGmp1B6zMDVDvSJrD0gaC/x9lhCmVsFJB7OMm8zDGKENQIAcCKrT3hbqYLrVYeyFcAF6lEzgx9ufKq/E/Qg7r7HU7lqJhlHOhHzP4VyYAZO/8gPGmN/vVxHPCZYGrXXzysRnYXb91lCaTLGY83AmQDOIQNXs3Y4Jn3sADSL28vXdPb/+PejUBm+i88IHsDdDDz46eGPq+wB6SJOpLO43BPAmUC+LwOXWwMe/Zr/YyKihbK9vY0zZ86gVNL9tRcvXsSZM2cAgNMviUa0eBm4nfPA0Y3wPn+mOHCIyRIqKMngYKZSbyLj5eS5Pf6+50p7O4DzmIGLxXSwtx9mD1yQNQKdk+gb0/pksiTuJ88jl1AC4fe/AcDaU4CN53h66HI22R5kMUyj2UK10RqYgTM7vYaVUBYzCci4Jjt6UQiwC25/zEu8AdseOIcMXN0a8uErA2cFcIdXgd1L7Qycnz1wgdY5LJ/UF2SaQ76OtZrj5MqAEkq3HrjezD8Rkc3Zs2fbwZtRKpVw9uzZKR0R0fxYrACudqiDm1AzcAX3ISbpOPJSQUkGlxOWak3kvAQhZtpcbx+c3xJK89gwhpjUA5ZQ2tYIAMCxlM7kXW+5B4LtDFygAM4KhsPuf/NpOZv0nIErWf/+QdnbfFqfjA8eYtKYXPmkUTzhv4QyjAxcPKGz0Y4ZOOtExE8GzpRQPv51vVz7yK0oZJK+9sAFy8CdBFRreF9hdQ/IFHFyJdNXQmkycIVMzwWBpTW96Lx24P+4iGhhXLp0ydftROTdYgVw1hS4UFYIGGn3DFxe9EnhgXK/gq+U0j1wfjJw1x/qvv3gcSCW7F4aPUz+xpBKKEfIwLUa7QzCakIHcNca7oGg6YFLBwngbn0u8KO/Btz5E/4/NkS+AriqCeCGT6EcVMIXOGgYReG4DjZaLe8f087AjTGAA/Rr1WkPXN0qofSTgctZP4OXv6zfHtlAMZMIv4TS6zJvq4Ty5JEs9quNrtea6zqJnLUHkasEiGbeNHvQTp065et2IvJusQI4s0Lg6G3hfY1M0TUDl1P6CveBcg9Cqo0WlPLYx1W4SWcL+koon9ABmZ8SuMKNIZVQWifCvtcImGmA+jk7GteB4JW6eyBYGSUDl0gDz31r+P1vPvkJ4A6t3W5LA3rgcqk4YuKhhHIaGbhW3d9wjP3H9E6ylI+MmBduAVw7AxdgiMkjVgB39FbPQ0zqzRYOa83gGThg+CTK6h6QWcaJFf3zac/CmTLPvgxcblW/5TJvoplmetAuXrwIpVS7B21SQdy5c+eQy3X/vszlcjh37txEvj7RPFuwAO5B/XZKQ0zEGoJwvTmgDNDq4/JUQhmL68xFXwmljx1wRv4mPRq81fT3ccMEXiNg/dK3SjCLMX1ieaXmMq4dIw4xmVHjzsCJCPLpBA6qgxd5TzyAM31sfgaZjHsHnBFP6xLBXu0eOB8BY3oZkBhw5Vs6K148aZVQ1qGG9JDttffxBZg1tezSH9vLZOCsAM7eB7dXriOdiPVPdV2yMnBcJUA006bdg7a5uYmtrS2sr69DRLC+vo6tra1IDDDh9EyadYs1hXLnvL4i7mGEe2CZZX2i16wD8Z6TYCuw2225Z+BKfoOQZYdl3geP6yl0fuRv0D0zh1fGe1IceI1AdwYu29L/CT1adQ8syjVrkXeQDNyMWs4FyMANee0UMsl2f5OTwGV7ozBDZPYeBY5/v7ePGfcOOCORdl4j0J5C6SMDF4sBmRU9hXLlFBCLo5BJoKWAw1oT+bT7r+CR9vFlloFUYfhgmHYPnJWBu27PwLkE8mayJlcJEM20WehB29zcjETAZsfpmRQFC5aBC3mFANDZU+aUhavp23YagzJw+iQ8OyCL0qXosLB3P0AGzpwIj3uZtwng/O7dM2sHrFUCMWtgwiMl9+dlpCEmM2o5m8RBtYFGc3hvWMl67eQGBAWALolzG2KilMJeZUo9cIDPDNxj451AaSTSzkNMgkyhBDoBz5ENAPZl6oMD83YAF/R7MWyZd6tlTaEsYi2fRioe687AVRrtqaVd2ANHFAnsQQtm2plLIi8WK4DbOR/uABNAl1ACejdbr6oOQq4NDOB8ZpGWT+qr7KYcq9XUpU1+JlAC4S3zHjUDZ3bBVfdQRgZXDt1L/9qLvFPz87I2J+9exs4fWiWUwzNw7j1Y5XoT9abqH1wRtvyNutTQ6yRKpXQJZTGkAM5pjUCQPXBApw/O+t1T8LDKARhDADdsmXdtH4ACMkXEYoLjK5muXXCupbTpgi4HZQaOaKaxBy2YWchcEg0zP2e6wzTrwO5D4Q4wAfQQE8B5kImVlbtadz8ha2dRvJZQFm/W/TrmavjhVV0K6bsHznr8uCdR1oP2wJkSSuvjq3uoxHO4euBwYm0p15qICZCKz8/L2py8eymj9J6BS2K/6vz5Rg4agoongKUbvGfgStf00JMwMnDxMWfgsr0ZuOGTQIFxBHAn+/tj7cy0XOui08mV7mXee5VGO1vYRUT3wbEHjmimDepBY4+XO2YuKQrm50x3mN1LgGpOoITSBHBOJZQ6A3e1NqCPy2SRPGfgzLhwq1TK7xJvwzx+3JMoA2fguksoUd1HLZ7H1QOH4RKWSr2JTDI+2QXUIfMTwHnNwOXT7iWUUwvgAJ1N85qBC2uFAKBfq449cAGmUAKdDJz1u6foMavaHuMfuITyZuDwCeeJmkDnIlOmE8DZp1DuWwvdHeVWOYWSKAI2Nzdx4cIFtFotXLhwoR28TXM65axj5pKiYHECuB2zQiDkAM5k4Jx2wVlB3eOVAZMUa8OXMXcx0+bMlfYgS7wBnfHKrIx/mXejCkCAuPu/2fl4rADOBICVPTSTeTx5UHOd3leuN+eq/w0ImIEb0j85qIRyr9zo+roTVTgxfPG00V7iHUYJZcolA3eog7uYz9dYTw9ccWIllGYSpUtWsycDd2Iliyf2q6g1dBm36xATQAdw7IEjiiT2eA0W5emZtDgWJ4AzO+AmloFzDuCaEseTNfcMke9BHMWehb3tDJzPEkognGXejYo+6fWbFUv2Z+BUuoBas+WauShbGbh54isDV2siGRekEoN/rPUY+8EZuGKQ0fWjKh4fPjXRMKWWYWXgnNYI1Er+s2+ADjLjqUBDTDLJGNKJgK/pYasETJVAZhkAcPJIFkoBj12v6GE25YZ7LyRLKIkiiz1ewzllLolmyeIEcDsXdFleGCd8dukBGbjaAerxJdQaCtWG8761kt8M3NKa7tm5PmIJJRDOMu9GxX//G+AwxGRf79QCXMsoK/XmXO2AA2wBXMm9988oVRtDs2+AzsDVmi3H1+BUSygLx4HKbud7PojJwAV5nQ8TTzmXHdZLwZaGn3498IZPAuk8AH9DTEb6PpiLO259cOYikzU516wSeHi3hGqjhVqz5R7I51Y5xIQootjjRRR9ixPAXTuvr4CH3R/VHmLiNIVyH42EPolz60HqTFL0GIiIdE+bO3hCB5F+By0AehLl2EsoK51smh/tEsrOFMpEVj+3V/edA7hybf5KKIu+SiibQ/vfgMEBxHR74MwuOA9ZuP1HdRAR5OLAMImMcwBXOwyWgUvngZue1n43m4wjHhNPGbiRvg/tDJzLKgEzKdc2xATQy7zNnkDXDFxuTX9809uOQiKaHezxIoq+xQngds6HP4ES0CeU8bTzEJPqPprWCHK3q+8mA+crEFm+2dYDF2AHnJG/QX+8S49Z20NfAD72Nr1HaphGdcQMnJlCuY9kzmTgnLNR89gDl0nGkUnGPAdwwyZQAmgvj3a6iGAGZzhOHwxbexechz64sHbAAVYPnFsGLkAA10NEBvYhGiMHcKkl3dfqFhD3DDG5aVn/zD2yW2n3Qrr3wJll3hxkQhQ17PEiir7FCOCU0hm4sAeYGJmiawmlSukM3KA9XMm4IOlnFH7xZHcPXNCyssJNOmPmtMPOOHwS+LPXAp/fAq57qJevl/1PoAS6M3DWwuF0fgWAewllud7ynrmMkOVs0mMPXMNjBs70YDln4ArpBOKxKUzybGfgvARwj4ZXDj2wBy5ACaUDbwFcY/RMqP3iTq/KHiDxdlYxk4zjWCGNy7uldgau4DaFcsla5s0+OKJIYo+Xf1y9QLNkMQK4/cd0IGANEQhduuC+B87qN3HbwxWoDNAs8241R8zADVnmrRTw4Td2MiRPfmf45wyagYunAIjOwNUOAChkCyuIiXsAV603kRkywCOKvAZwpWrTcw8c4DxEw3V58yS0M3BeSigfCy+Ac+2BOxxLBg4ACunk0BLKsXwviifdSyire/pik62s/MRK1srADSuhXNVvmYEjogXA1Qs0a+bvbNfJpFYIGGmXDFz1AJIekoH5PU63AAAgAElEQVSrBRjEUTypd9wdPK6Dr6AZuGHLvD/3R8C3PwE855f1+09+d/jnbFQ6O938ENGZgUalXY4ayyzj6FJqQAZu/oaYAD4zcOnh/35TQrlfdc7ATaX/DdDBRCo/PANnLlSEVkKZdumBCziF0kEhk2iXKboZy/eieGJwBs4MXbLcbC3zNpNel92GmJx6FvDOK8Ctzx3t+IhobJghCg9XL9CsWYwAblIrBIxM0TkDVztAPKMzcG5DTEp1b1mULmaZ95Pf0V83aAbOZDScJlE++lXgv/wq8D0/DvzorwGpQrgZOEDvpquXu6blreXTuLLv0gM3h0NMABPADT7ZB6weOA+vneKAEsq9yhQDOEAHZcMycIdXANUKt4RSNYFmz/MTdAqlg0Im2S5TdNJotnBQHUcJ5UmgfK2zhNzOZOBsTqxkcHm33Fkn4ZaBiyd0ryARzQRmiMLF1Qs0axYjgNs5r3s9ViY0IjdddB1iEs/qQRxu5VPlWoBdZmZh7+Uv67eBM3DWx/VOoqweAB98vS6b+qk/0NmxtTs8BnABe+AAnbmrlzvPZbqItXx6YAZu3vbAAXqQxJ6XDFzVWwZuUAnl9XJ9OjvgjOIJfbHALWsEdEp4w8rAmaXzvX1w9fFl4IpDeuA6GbBRM3BmT6RDUFzZa6/mME6uZFFrtHDh6qH+8GkG80TkGTNE4eLqBZo1ixHAXXsQWLkFiE/oZCSz3F9CqRRQO0Aqp694HziUrwFAud7wvgPOMOPCL39Jvw0awGWWdbDVW0L58Xt0ueQ/eR+wZPW+rHoN4EbMwDXKXdPy1vLuJZTzuAcOAFayKex62QPnMQOXz7hPoZxqCSUA/NDP6QzwHzwT+MJ9zpNOzQ64MDNwQH8ZZW08UygBM8TEPSgf2zqHQasEHDNwutz5gcf2kIrHkJ7DnlKieRR2hmjRyzO5eoFmzWL873zt/OTKJwHnISb1EqBaiGcKSCdig3vg/GaRMit6Ot4jX9HvBy2hFNEfay+h/NqfA//vNvC8t3X3u6zeAew+NHzpctA9cICVgat0gmGrhPLqQRWqZ9VBvdlCvanmtoTysNZEvem+tkEp5XkKZTIeQyYZm70eOAC466XAGz8DnPxB4KNvBd7/YuDKt7sfE3YGzpQG2gO4VlNn5MY2hTKJg2qj73VsjC2AM9l5p4ymQw/cySP6Z/Wbj+6jmE1Awt6bSURjEWaGiOWZXL1As2cxAridCa4QADollPbsQbsMsKCvvrtk4EpBhpiI6Cvt1x/S7wfNwAHdy7yvPQh85C3ALf8dcPfbux+3egcA1ekvdFOvjCED13nu1gppVOotHFr78gyzAH0+AzidMRtURlmpt6AUPO2BA4B8Otl3EaHaaKJSb003gAP0vsZ/9mFdrvvEN4E/fDZw/3uAhpWF3H8MgABLAS9UDNPOwFU6t9V0SWHgixE9itkEWgp9r2Nj7AHcnkMA55CBM8u8rx3WprMLkIgCCTNDxPJMjasXaJbMfwBX3gXKO5PNwGWKABRQs/XBVQ/023QBhUz/ybNRCbqM2pyoSQxYOub/443CjTqAa9SAD/4sEIsBL3+fHlpgt3q7fjusjLJRGaEHLqMDwJ4eOAC4ut9d3la2ArhMcv5e0ss5fSI9aBLlYU2/nrxk4ADTg9X9+YYub54kEeAHXgO86fPAnS8BPvUvga27gYe/qDNw+Rv6X5Pj0u6Bs5Wt1q2Tl7GVUJpBMs7f07EFcMkMkFvrD+CU6lprYixnk+3XUNFtBxwRzZwwM0Qc4EE0e+bvbLfXpFcIAJ2yJPsgExPMpfLIpxM4cDlx031MAQI40+uSWwNiI2Sh8jfqDMcnfxN45MvAS3/fefjLUa8BXDV4AJfMdffApfJYy+uT694+uGpdZzvncYiJOYkfFMCVqjqA9TrB1GmR9NiChnEq3Ai88v3AP/13+mLMff898I2/CK98EhiSgRvfIm/AfZ3IWL8Xyyf7Syhrh3rSZk8JpYi0++BmIpAnIs/CyhBxgAfR7Jn/AM6U+B29bXJf05Ql2QeZ9JZQuvXABZ2kaKbNjVI+CegSysou8JnfBU6/XvckOckU9dcatAtOqdEycElbBi5VAGKxTgbuwDkDN49DTLwEcO0MnIcplIAeZNI7SKc9On4WT9zvfDHwps8BP/Sz+vV5ZD28r2VKfhvTy8DtjfN7Uby5PwNnGwzUy/TBua4QIKKFwgEeRLNnAQK4B/XbIxuT+5qmLMk+yKRdQmll4NymUI6agQs6wMQoWAHgDXcBP/avBj929SmDM3DNGgAVvAeuvUag06tzrKA/15WD7qmM5do898B5yMBZAVzWawYunXQooZzBDJxdpgi85L3AG/8OeNG7w/s67QDOnoGzArgxZ+D2BmTg0onYeDLKTsu824OB+gO4TgaOJZRExAEeRLNo/v+H3jmvM0VjWsDridmtZM/A1awALlVAIXPomIGrN1totAJOUlweUwbu5GkdvL3ij4cPbFi9HXjgo+73mxPgUTJwjbI1LU8HxUeXrBJKlx64eQzgil4ycFYJpdceOKcssFksPfOZlxu+N9zPH7cCOPseuLpVQjmmDFxxWAllaYzTQJdPAtXr3T1v7Qzcct/DzSCTmX8dENHEbG5uMmAjmiELkIG7MNkBJkCnLKkrA9cZhe+2A6pUG6EMsF1COWIG7sa7gDd+1ttJ8uodQOmqHhLjxIxhT46yyLvSdeKZjMdwJJfEk4cuQ0zmuYSyNDwD57UHLp9J9O2Bm8keuGlwKqFsZ+AmN8RkbN8H87vBnoUbkIE7yR44T0Tk1SLyIRF5VESUiLzOx8c+W0Q+JyIVETkvIm8O8VCJiGjOzH8AN+kVAoBtiIlzCWXB6j/q3QFVGaWPa+UWIHsUuOlpQY44mNU79Fu3PrhxZeCq+10nmmv5NK7ud5dQVua4hDKdiCObjHvLwHnsgStkkjioNdBqdV6DJkBkAOdQQtnugZvcEJOxZuCA7mXe1ev67YAeuAKnUA7zCgAbAD7i54NE5A4AfwXgPIAXA/gjAL8tIj837gMkIqL5NN//Q9fLunl/Whm43hJKiQHJHPJpvQOqVGtiyba3y2TgAvXAJbPA//IPo02g9KsdwH0HuPl0//31UQO4HNBqAOVrnRJRoL3M266zRmD+AjhAB1VeeuC8ZuCKmQSU0sNPTDboermObDKOVGL+r+sMZAI4+xqB9hTK8WTgssk44jEZmIE7vhzw56aX0zLvARm477mhgJMrWdx1vP8+6vJqpVRLRPIA/ARfbwPwCIDXKKUaAD4pIqcA/LqI/O/Kbbs7ERGRZb7P1HYu6reTnEAJ6JM8ifdk4KxJiiK28qnuq+8jD+KIJ/T+rEk5sqH/nW6DTEbNwJmPO7jSta9qrdAfwFWsNQLzmIEDhgdwZiG05ymU6f4M0F6lzsEVQKcHzjEDN54ATkRQyCTau/d6jbeE8gQA6Z5EOWAK5XIuib/9lRfi9MbR8Xz9OaWUagX80B8H8CEreDP+PYCbATx15AMjIqK5N+cB3BR2wAE6iEoXetYIHADpPADdfwT097+U6/4mCU5dIqXHubsGcFaQFTgDZw1Rqe13DVtYXUrhau8UyjkeYgJ4yMBVGxABMgnvJZRAdwA31qAhytp74Jx64MY3DMmtFxbQE0HH1oMWT+rhRr0ZOIkBqfx4vgZ5IiJLAG4B8EDPXd+03t452SMiIqIoCiWAG6W5e6zMDrhJl1AC+sq2PQNX6wziaPe/VHszcBHMIq3eMSCAK+u3gdcI2AI/WwbuWCGNg2qj3TMIdPoHM6n5vCZR9JCByyXjiMW8ZWDNRYSDaudzMoCzJPSk0+4M3CEQS3TuGwO9yqE/A9dsKexXG+P9Xiyf7MnAWb+PJpmxJwBYsd7u9txuJkEdmeCxEBFRRIWV6rE3d0+vMXvnvO7xyE2hFCi93FneDVgllPpqd8GhfA2w9zFFLIC78DdAqwXEeoKncWXggO4Syrw+ib6yX8UtR3VJW7nWREyAVHw+A7jlbBLfeGRwD1wu7f3H2WkP2fVyAydXxtR3FWXm9WpfI1ArjTX7BjivcgBC2sdXPAlcsSV9qnuO/W+LTESWARwf9jilVG/2LHQicgbAGQA4derUpL88ERHNmLDOdl+tlPpBAG8J6fN7c+281ac1havMmaJrCaUpX+sd4x7JQRyrt+v+oP1H++8zGYzAawTsGbjuKZQAuvrgyvUmssk4ZE4zCiu5JHaHTKH0ugMOcN5Dtleuc/cXoDNtkM4FCEBn4MbU/2YUMsn27j27UNY5LN+sSyjNfIwKAzgHr4QuZRz2ZxQm89a7gM9k3hx3siiltpRSp5VSp48dOzbiIRARUdSFEsCN0Nw9XjvnJz/AxEgXOqO6AT2F0soiufbAjTKFclrskyh7jZyBcy6h7ARwnR6lcr0ZbP1CRCxnkyjVmqg3nX+0SrWG5wmUAJBP919EGGvfVZSJ6NdsozcDN94Arph1zsCFEsAVT+ggtGLFD9U9xwEmi0wpdZ9SSob9GfFrHAJ4CP29bub9iWf3iIgoeuaz3gwAWk09hXLSA0yMdG8GzppCiU752kFvD1wUB3EMCuDqI/bA2U+Ye6ZQAt0ZuEqtibTHAR5R1F7m7ZKFO6w2PU+gBOx7yPTnC6XvKsoSqZ4MXGnsGbhiJuk4xKQdwOXGXEIJdAaZVK4zAzc9Hwfw0yJi/4F9NXRg9/XpHBIREUXJTARwInJGRL4oIl+8cuXKeD7p9YeBVn06A0yA/iEm1f3OFMpUf/8R0NkDF6lMUuEEkMg6L/NurxHI9t/nhT1z1zOFEgCu7tsCuMb8Z+AA9wDObwYul4ojJp2LCKH0XUVZItPTA3cYSg/cQbWB3rVfoZVQAp1BJszAjUxE7hKRVwB4mXXTaRF5hYjcbXvM3SLSsN8G4D3QKwM+ICIvEJF7APw8gN/gDjgiIvLC0xlf2M3dSqktAFsAcPr06fH8BzatFQJGuqiDNvP/sa2EMhYT5NOJ/h64WlNvIIjSIuVYzH0SZbuEMmgGznmISSYZRyGT6O6BqzWjlbn0aXgA18TJI97//SL6NWhK+EwvFksoLfF0fwYu09u2NJpCJoGW0hNE87YBNOGUUJoM3MP6LXvgxuFVAH7d9v6brD/3A3i+dZsAiFtvAQBKqe+IyIsA/DZ0Nu4xAG9VSt03gWMmIqI54PWS/SsBvM/D42ZngsQ0VwgA+up2q6HLCEX03207l5x2QJXrehR85AZxrN4OPPb/9d/eXiMwjiEmha67juXT/T1wcxzAFT0EcH4ycED3EI1QgoYoS6T7e+AKQ69h+dLZxVcPP4Ar3ARIXGfglGIGbgyUUvcCuHfIYz4Nh/8XlVJ/A+CHwzguIiKaf55SPZNo7h67nfNAPKWb96fBBBzVPT2B0n4boDNw1f4SykiWAa7eAexc6F58DFgnwKIXCQfRlYHrPtlcy6dxpWsKZQuZKD53HpmT+T23Hrhaw9cUSsAq4bMycAzgevQGcPVDIDX+Ekqgf53IXrmOVCI23mm0sbgOQK9f1heVWg1m4IiIiCIqQrV6Pl17UK8QiE3ppD5tlVtV9vQSb6ArgHPaAVWJ6iTF1TsA1QR2L3bf3qjoICxoRtFk4CTWd/K8Vkj1DTHJJuf35WwCq92SSwau2vS1Bw7ofg0ygOsRTznsgRv/GgGgfxptaAvVzTJv05vLDBwREVEkhXLG66W5O3TXLkyvfBLonBxV9zoLvW0llPlMEvt9GbhGNMsA3SZRNqrB+9+ATgYuXegLAtfy6a4hJvNeQjmoB67WaKHWbAXIwCWxX9Wfb6+sX4vFrL8gcG71rhGol0PLwPUOMwotgCuaAM5cUBpvTx8RzY7t7W1sbGwgFothY2MD29vb0z4kIhqjsFIWrwLw5wA+YL3/Juv9d4X09bopZe2Am2IAl7YHcKaEclgPXAtZn31MM2H1dv22N4Crl4P3vwE6CyIxx1KvtXwae5UGqg09ubNcb0ZrAbpPqUQMuVTcMYDr7A/099qxD9JhBq6HfY2AUnqIybj3wJkArjzJDNwjeoUAwAwc0Zza3t7GmTNncPHiRSilcPHiRZw5c4ZBHNEcCWuR970ufXLPD+Pr9Tm8qqc+zkIGrrKnjwXoLqF0nELZQC6KQUjuKJBbHX8GTkSvIOgZYAJ0lnk/aQ0yqcx5AAfo4MopgDus6deRnz1wQH8JZTIuc53F9CWR6azBqJcBqLHvgeuUUE4wA9eo6H5VwPHnioii7+zZsyiVSl23lUolnD17dkpHRETjNp9NQ9NeIQD0DDExJZSDe+DKUe2BA6xVAj274BqV4DvgjGTGJQOnd8HZA7jIPnceuQVwJSuACzKF0pTxmqAhchNQwxJPAU1rKE/dOhEKYQ8cMOEADgCe+IZ+yyEmRHPp0qVLvm4nouiZzwBu2isEgM7JUcUWwNlKKPPpJMr1JurNVvu2yE6hBHQAd/Ufum8bNQMHuGfgCvrzXj2oot5sod5Uc589Krpl4Kq6hDJIBq7WaKHaaGKvUkcxw/LJNnsGrnao3445A5dNxhGPyWSHmADAE9/Ub1lCSTSXTp065et2IoqeOQ3gHgQgwJH16R2DPQPnVEJpXX0/tA0yqUR5GfXq7cDBY51gFdB74EbpgQP0GoiV/v90jlkllFcOqqjUdQAT2efOo+Vs0nGNwGHgDFwnA7RXrnOJt10i1VmL0c7AjZhN7iEifZn4Zkthv9II53tRvFm/ZQaOaK6dO3cOuVz3BadcLodz585N6YiIaNzmM4DbOQ8s3zx69mcUsbgumazud4IaWwlW3qF8qlRvIhflDBzQXUbZqOoSyFG85oPAj/X/p2N64K4eVFG2Arh53gMHDCihNBm4gAHcQaURXtYnqhKZzhqBWjgllABQzCS7MnDm76F8L5aOAbEke+CI5tzm5ia2trawvr4OEcH6+jq2trawubkZ6PNxoiXR7IngyEMPrp3XO+CmLVPUJZQQvUIg1omXiw4BXDnSGTjbKoETT9d/b1SA7JHRPm/GedR5NhXHUiqOq/s1VGq6DDWyz51Hy9mk4x44k4HzW36bT3eGaFwv17GxOv4AJbLitkXe9XBKKIH+XthQp4HGYjqjvXtRX1ya1o5MIgrd5uZm4IDNzky0NENRzERL8zWIaDrmNwM3zQEmRroAVK/rRd49V7s7J8/6hK3ZUqg2WtHtgTt6GwDpzsDVK6FmQVfz6e4M3Bwv8gaAlazum6w1Wl23l2rBe+AA/RrUJZTzeT0nkIQtgAsxAzfRAA7QlQkA+9+IyBNOtCSaTfN3xlvdBw6vTHeAiZEudoaY2JZ4A7byNasHLvJ9XMkssHxL9yqBRmX0HrgB1vIpXF2kHric8zJv00cZtAdur9LAXqXBEkq7RBpo1YFWK+QMXBJ7thLK0AM4M4mS/W9E5AEnWhLNpvkL4PYfB7JHrYzQlGWKnUXePRm43hHipfYy5ggHIau39wRw1ZADuO4M3NwHcFnnAC7oa6dgZYEf36ug2VIM4OxM5rhZtWXgIl5CCXQmUTIDR0QecKIl0WyavwBu7Q7g7eeBu35q2keir3KbISbp7gxce4hJTwYu0suoV+/QAZxS+v2wM3CFNK4e1BZmiEnRJYA7rDWQSsSQjPv7cTYXER7e0QEKAzibuBXANSqdKZSp8IeYMANHRLOEEy2JZtP8BXDGLCwkNkNMagddS7wBtHdumZO3ThYlwn1Iq3fojOPhFf1+I9weuLV8GjulGg6sDMaiZOB6VwmUqk0sBQhezUWEy7tlAOAeODvzum3UOnvgQsrAHVQbUNZFj4kFcMzAEdEAZvLka1/7WmSzWayuro5loiURjUeEo4UISBd0QJPsX0adTsSQiEk7+GiXAaYiHFPbJ1EuHdMB3Jh3Z9kdy6egVCcAWZQAzikDFyTwT8ZjyCRjuLxT7vr8BFsAZzJwEspruZBJoKWAw1oT+XQC18t1pKzvSyiWmYEjosF6J08++eSTyOVy+MAHPsDAjWhGRDhaiID0sj4BLF3rK6HsXeJbMqPgkxGOqVdv12+f/A7QtJYgh5yBA4CHrun/ZCI7wdMjE2Dtlmpdt5eqTd8TKI1CJomHrQCOi7xtTOlvs6Z74JK5ULL6hUx3VtUsVJewKgjMMm/ugCMiF5w8STT7GMCFyZQp1fqnUAK6hK1vCmWUg5CVU0A8pQO4ug4Kwu6BA9AOQDKJCD93HnQycI2u24Nm4ACgkE7gycNa1+cn6NcxYGXgDkOZQAn0DzPSC9VDvIiTOwo87ZXA7S8M72sQUaRx8iTR7ItwuicC7GVKDle8C+mkQw9chIOQWFxP/3zyu50dWpPIwFlDODJRLj/1IBmPYSkVd5xCGTwD1/kVwAycjbnw0LBl4EJQ6OmF1QFciN8HEeDl94X3+Yko8k6dOoWLFy863k5Es2G+z3inLTM4gMvbSijLtTkZhW8mUTYq+v1EeD1wa3mdJXl4p4yYACmfUxijaDmbdNwDFzgDZwUQIjobR5aEPQNXCmUCJeCWgWMgTUTTw8mTRLNv/s94p8ketDmUUBbtAdw8lFACug/u2oOd0eshZuDy6QTSiRhqjRayyXh4fUMzpOgQwJVqwaZQAvo5BPQEylhs/p8/z9o9cFU9hTKkDFyxvUx9Qhk4IqIhNjc3sbW1hfX1dU6eJJpRvOQepiEllPl0pwdurjJwzRpw9dv6/RB74EQEa/k0Lu+Wox/4erScTfavEag1kAuYPTMZIAYNPdo9cFUrAxdWAGdKKK0MXIkBHBFN3+bmJgM2ohnGDFyYukoo+zNwhUx/D9xcBHAA8Pjf67fJ8AI4oDPIJNIL0H1wLqEMnoEzJZTFMAdnRFG7B65q9cCFVULZCeBaLYX9aoMBHBEREQ3EAC5M6eXO31PuPXBKKVTqTaQTseiXsfUGcCFm4AC9Cw6Yg8DXo94ArtVSKNebgXvg8szAOWvvgauGOoUyk9T7IPcrdet3AYfJEBER0WAM4MJkL5t0mkKZSaDRUqg2WijVmtGeQGksHdOB6+Nf1++HHMCZSZSLlIHbLXf2wJneyaBTKIsM4JyZAK5ZDXUKpX0fpAnM+b0gIiKiQRjAhSmR6gQwTiWU6c4Ag3K9OR9ZJBE9yGTngn4/xCEmQCeAm4vnzoOVXBKVegvVhg7cDq0F8IEzcGkGcI7i9gxceFMogU4pNQM4IiIi8oIBXNjMIBOHKZSm/+Wg0kC51pyfQRymjBIIdY0A0FklkJmX526IzjJvq3eyOloGrt0Dl2HQ0CXRM8QkpAwcAGbgiIiIyBcGcGEzg0xcplACeoBBuT6vAVzIGbiCycAtxkvZ9EeZSZSjZuDMFEr2XfUwmfPaAdBqhNYDB/QHcCu5VGhfi4iIiKJvMc56pyld1FfvY/3BmTl5Pqg29Cj45JxMAly9vfP3kHvgVpcWq4SyLwNnTS9d4hCT8TJrBMo7+m1IUygBnQXdYwklERERecQALmzpgmP5JGAfIV5Hud6anzJAewYu5DUCxwrWFMp5ee6G6A3gDq09grmAJZTHlzOIxwS3HA0vwxRJIroPrnRNvz/BDBwDOCIiIhqEAVzYcqtA9ojjXSYDt19poFxrIDcvWaQJZuAWcQolML4M3PHlLP727S/E856yNp4DnCeJ9EQycEVbBi4VjyGzIOXARDS/tre3sbGxgVgsho2NDWxvb0/7kIjmypzU7M2wF74TKO863mUP4ErzNMQkXQAKx4GDx4FYuC+x5WwSa/kUji+HGyjOChPA7ZZ6MnAjvHZuWpDnzrdEGihPJgN3UG3germGYjYJkYjvgiSihba9vY0zZ86gVCoBAC5evIgzZ84AADY3N6d5aERzg5d6w7Z6O3DzMxzvWkp3euAq8zTEBNBllImMLkULkYjgP7/lbrzuWbeG+nVmRdEtA5fmtZixi9szcOFNUy1kElAKeGS3guUsv49EFG1nz55tB29GqVTC2bNnp3RERPOHAdwUJeMxZJNx7FfqOgM3T2WAN36fLh+dgKNLKaQSi/FSTsZjyKcTnR642ugZOHKRsPXAhTzEBAAe3imx/42IIu/SpUu+bici/xbjrHeG5a0BBuV6c75Owl/wDuBn/mLaRzGXlrPJrj1wMQHSCxLATlQiDVSu67+HWEJZbAdwZQZwRBR5p06d8nV7UOyzo0XGs74pK2QSuHpQg1JzNogjswwcvW3aRzGXitlk1x64pVSCfVNhSKQBKP33kBd5A0C10WIAR0SRd+7cOeRy3b8zc7kczp07N7avYfrsLl68CKVUu8+OQRwtCgZwU1ZIJ3BlvwKAZXDkzXI20ZWBC7pCgIaI25bQp8Isoez0vTGAI6Ko29zcxNbWFtbX1yEiWF9fx9bW1lgHmLDPjhYdO+anrJBJ4rtXDgAszjJqGs1yNonzVw8BdDJwFIKELYALNQPXCdoYwBHRPNjc3Ax14iT77GjRMQM3Zfl0Alf2qwAWZxk1jaarB67GDFxoEpPJwBVtGbgiAzgioqEm1WdHNKsYwE1ZIZNAo6X7bJiBIy+Ws8muPXA5ZuDCYQK4eBqIhfezyQxcNInIq0XkQyLyqIgoEXmdx4+713p8758XhXzIRHNjEn12RLOMAdyU5W1X33kiTl6s5FKoNlqo1Jso1ZpYYuY2HKYHLsQJlACQScaQiOkhNAzgIuUVADYAfCTAx14H8CM9fz47tiMjmnOT6LMjmmWMGKbMfvU9m2I8TcOZMru9ch2HtQZOpcMNMBZWIqPfhrgDDtDL6AuZBHZKdQZw0fJqpVRLRPIAfs7nxzaUUn8XxkERLYqw++yIZhkjhikrpDsxdDbJeJqGMyf518t1lKrMwIUmkdJvQ87AAZ0LOcs5BnBRoZRqTfsYiIhoMTGAmzL7CHEOMSEv7AHcYY09cKFpZ+AmEcDp7yEzcAtjRUSuikhdRL4iIv9k2gdERETRwQBuyuwllNwDRxW7jWYAAA7ASURBVF50ZeBqTSxxCmU44iYDF24JJcAAbsF8B8A9AF4J4OUAHgHwHxjEERGRV7x0P2V5ZuDIJ3OS/8R+Fc2WYgYuLBPNwCWRjAsn0U6RiCwDOD7scUqpB0b5OkqpP+n5un8J4DMAfg3Ah1yO7QyAMwDHpBMREQO4qesqoeTJG3lgArhHdssAwB64sEywB24lm8RKLgURCf1rkatXAnifh8eN9ZuklFIi8iEA7xaRuFKq6fCYLQBbAHD69Gk1zq9PRETRwwBuyswQk2RckIyzopWGM4ufH71eAQDk0vwxDsWEplACwC8+/3a89OknQv865E4pdR+A+6b15a0/REREQ/HMb8pMD1yG2TfyKBGPoZBO4NHrJgPHH+NQxCeXgbvtWB63HcuH/nVo9ohOu74cwFedsm9ERES9eOY3ZaYHjgNMyI9iNolHd00Gjq+dUEywB46iR0TuAnAXAOuFgtMicgDgilLqfusxdwP4awA/arvtfgD/AcADAJYAvAHAMwG8bLL/AiIiiioGcFO2lIpDhP1v5M9yNokHrx4AYAYuNIm0fjuBKZQUSa8C8Ou2999k/bkfwPOt2wRAHN19c98B8C+gB6a0AHwZwEuUUh8P+XiJiGhO8MxvykQE+XQCWZ6Ekw/L2SQqdb1HmNnbkJgSSmbgyIFS6l4A9w55zKfRM/REKfWzoR0UEREtBE7NmAHFTBLZJL8V5J19X9gSh5iEw5RQTqAHjoiIiMgrRg0zIJ9OcJcX+dIVwDEDFw6zRmACUyiJiIiIvGLUMAP+2bPWkWcWhXxYznUCOK4RCAkzcERERDSDeOY3AzafuT7tQ6CIsWfgOAAnJCungFQeWL1j2kdCRERE1MYAjiiCTACXTcYRj8mQR1MgyzcD77g87aMgIiIi6sIeOKIIMgHcEnfAERERES0UBnBEEdTOwHGACREREdFCYQBHFEHtDBynlxIREREtFAZwRBFkAjgu8SYiIpot29vb2NjYQCwWw8bGBra3t6d9SDRnePmeKII6PXD8ESYiIpoV29vbOHPmDEqlEgDg4sWLOHPmDABgc3NzmodGc4QZOKIIKjIDR0RENHPOnj3bDt6MUqmEs2fPTumIaB4xgCOKoHhMUMgk2ANHREQ0Qy5duuTrdqIgGMARRdTmM9fxj7/vxmkfBhEREVlOnTrl63aiIBjAEUXUr/z4nXjRU49P+zCIiIjIcu7cOeRyua7bcrkczp07N6UjonnEAI6IiIiIaAw2NzextbWF9fV1iAjW19extbXFASY0VmygISIiIiIak83NTQZsFCpm4IiIiIiIiCKCARwREREREVFEMIAjIiIiIiKKCAZwREREREREEcEAjoiIiIiIKCIYwBEREREREUUEAzgiIiIiIqKIYABHREREREQUEQzgiIiIiIiIIoIBHBERERERUUQwgCMiIiIiIooIBnBEREREREQRwQCOiIiIiIgoIhjAERERERERRQQDOCIiIiIioogQpdS0j6GLiFwBcHHIw9YAXJ3A4SwqPr/h43McPj7H4RrX87uulDo2hs+zEERkH8C3pn0cEcbfC8HxuRsNn7/RLOLz5/r/48wFcF6IyBeVUqenfRzzis9v+Pgch4/Pcbj4/E4Hn/fR8PkLjs/daPj8jYbPXzeWUBIREREREUUEAzgiIiIiIqKIiGoAtzXtA5hzfH7Dx+c4fHyOw8Xndzr4vI+Gz19wfO5Gw+dvNHz+bCLZA0dERERERLSIopqBIyIiIiIiWjiRCeBE5C4R+WsRKYnIIyLyGyISn/ZxRZWI3CEifyQiXxORpoh82uExIiLvEJGHRKQsIv9NRJ4+hcONHBF5pYj8hYhcFpEDEfmSiPyPDo97g4j8g4hUrMf86DSON2pE5BUi8hkRedJ67r4lIu8UkZTtMXz9jpGInLRey0pE8rbb+TxPmIgUReRdIvJ5EbkuIo+JyH8Uke+Z9rFFhYi8WkQ+JCKPWq/p1037mGYVz7+C83KuRc68nkctqkgEcCJyBMB/BaAA/BSA3wDwVgDvmuZxRdz3AXgx9D6hb7s85lcA/CqAdwP4SQAHAP6riNw0kSOMtl+Gfr7eAuClAD4F4E9F5H82D7B+Ef0hgP8LwI8D+HsAHxGRp07+cCNnFcAnAfwc9HP3xwDOAvht22P4+h2v90A/h734PE/eKQBvAPBXAF4B4OcBHAfwORG5ZZoHFiGvALAB4CNTPo6ZxvOvkXk51yJnQ8+jFlkkeuBE5H8FcA/0Qrs967Z7ANwL4CZzG3knIjGlVMv6+wcBrCmlnm+7PwPgcQDvVUr9hnXbEoALAP5IKfXOiR90hIjImlLqas9tfwrgR5RSt1rvfwvA3yqlXm+9HwPwVQBfVUq9ZtLHHHUicg7AmwAcAZAGX79jIyLPA/CfAPwr6ECuoJQ64O+J6bCe45ZSqmy77SiASwDeo5TiyfUQ5v9AK5u8D+CfK6XeP+XDmjk8/xrNsHMtcuflPGqRRSIDB32F/a96flH8ewBZAHdP55CizfxCGeBZAIoA/sz2MYcA/hL6+0ED9P7SsXwFwAkAEJHbAHwPup/fFoA/B5/foJ4EYEoo+fodE6tU6vegr7z3vq75PE+BUurQHrxZt10DcBHW7xgazMP/gaTx/GsEfJ0FN+w8atFFJYC7E8AD9huUUpcAlKz7aPzuBNAE8A89t38TfM6D+hF0SijMc/hAz2O+CeCoiByb2FFFmIjERSQnIs8B8GYA/1bpsgK+fsfnF6Azmn/gcB+f5xlh/c64AyzTovHi+RfNEvt51EJLTPsAPDoCYNfh9h3rPhq/IwAOlFLNntt3AOREJKWUqk3huCLJGk7yMgCvt24yr9ve1/WO7f4rEzi0qDuEDi4A3Uv4NuvvfP2OgYisAvhNAK9RStVFpPchfJ5nx3uh+0XeP+XjoPnC8y+aCQ7nUQstKgEcUWSJyAaAPwXwYfZYjN2zAOQA/DCAXwPw+wDeONUjmi/nAPydUupj0z6QeSciy9CDSAZSSvVm7SEivwjgNQBerpR6MoTDm3mjPH9ENNt4HtUvKgHcDoBlh9uPoJOxoPHaAZAXkXjP1fUjAEq8qu6NNVjg49C9KZu2u8zrdhndVzeP9NxPAyilvmz99W9E5CqA/1NE3gu+fkcmIt8HfaXzeSKyYt2cs94ui0gTfJ7H6ZUA3ufhcV1pUBF5KXSP4tuVUv8xjAOLiEDPHw3F8y+aqgHnUQstKj1wD6Cn1toalZxDfw8RjccDAOLQPRV2ffXw5ExEctAjqlMAfkIpVbLdbZ7D3h6COwFcU0qxfNI/E8zdCr5+x+EpAJIAPgt9oraDTh/cw9BBA5/nMVFK3aeUkmF/7B8jIs+GHijxh0qp90znyGdDkOePPOH5F03NkPOohRaVAO7jAH5MRAq2214NoAzg/ukc0tz7DIA96KuaANo/SD8J/f2gAUQkAT1R8ikAXqSUesJ+v1LqQehGXPvzG7Pe5/MbzLOtt+fB1+84/A2AF/T8ebd134uh1wnweZ4SK0P6lwA+AT3AhygMPP+iqRh2HrXoolJC+YfQ/0F9SETeDeA26B0kv80dJMFYJ1kvtt49CaAoIq+w3v+YUqokIr8F4FdFZAf6StsvQwf9vzfxA46efwP9/P4SgFVrGITxFaVUFfo1/CcicgHA3wL4GehfVP/TZA81ekTkE9DLZf8eegris6GXy/7fSqnvWo/h63cE1gjnT9tvs/oQAOD/UUodWLfxeZ4wEbkBOnA7APC7AH7YNmBmTyn1jWkdW1SIyF0A7gKQsW46LSIHAK4opRiYdPD8awRezrWmc2SR4OU8amFFYpE30P5l+/vQI0R3AdwH4F6H6WfkgXUidt7l7luVUhdEnxG8A8AvAlgF8EUAb1ZKfWUiBxlhVlC27nL3rUqpC9bj3gDg7QBugQ5G3qaU+utJHGOUichvAvhpABsAGgAeBPB/QJeS1a3H8PU7ZiLyOujnuWAL4Pg8T5iIPB/Ap1zuvp+LgocTkXsB/LrDXXz+evD8Kzgv51oTO5iI8XoetagiE8AREREREREtuqj0wBERERERES08BnBEREREREQRwQCOiIiIiIgoIhjAERERERERRQQDOCIiIiIioohgAEdERERERBQRDOCIpkxEXmXt1yIiIloYIvJJEfmqiCR6bn+5iCgR+R88fI57rN2IRAuDARzR9L0KwOumfRBEREQT9iYA3wvgzeYGEckD+B0Af6aU+i8ePsc9AJ4fytERzSgGcEREREQ0cUqpbwJ4L4B7ReSEdfO7ACwDeMvUDoxoxolSatrHQLSwROT9AH6m5+Z3KaXunfzREBERTZaI5AB8A8DnAfxLAF8CcI9S6n/z8LEXAKz33PwCpdSnx3yYRDOFARzRFInI7QDeB2AFwButmx9WSj08vaMiIiKaHBH5KQD/CcAFAHsAflAp1fTwcT8A4FMAPgjgPuvmbyil9kI6VKKZkBj+ECIKi1LquyJyDUBMKfV30z4eIiKiSVNKfVhEvgTgGQBe6CV4sz7uKyLSgL7wyf9DaWGwB46IiIiIpkZETgP4AQAKHEhCNBQDOCIiIiKaChGJAfi3AD4LPcDkHhG5bbpHRTTbGMARERER0bT8AnT27Y0AfgvAZQC/O9UjIppxDOCIpq8GIDPtgyAiIpokEbkBwDkAv6eU+ppSqgq9E+4l1mATL/h/KC0cBnBE0/cAgKeJyMtE5LRtFw4REdE8+9cAygB+3dyglPoYgA8D+B0RyXr4HA9AB3zPt/4PLYRzqESzgwEc0fT9GwD/GcAfA/gCgDPTPRwiIqJwicjzALwWwFsdxv7/EoAbALzDw6d6G4BDAB+F/j/0GeM8TqJZxD1wREREREREEcEMHBERERERUURwkTcRERERzRwRiQMQl7uV14XfRPOGGTgiIiIimkXfBVB3+fPdKR4X0VQxA0dEREREs+gnAaRd7qtO8kCIZgmHmBAREREREUUESyiJiIiIiIgiggEcERERERFRRDCAIyIiIiIiiggGcERERERERBHBAI6IiIiIiCgi/n8qKoUxdzz0aAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_ts(X, Y, \"Nonlinearly related at lag 1\")\n", "compute_dcorrx(X, Y, max_lag)\n", "compute_mgcx(X, Y, max_lag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Understanding the Optimal Lag\n", "The optimal lag allows the user to understand better the temporal nature of the relationship between $X_t$ and $Y_t$. The polt below shows the empirical distribution of the optimal lag estimate for $\\text{MGC-X}$ as $n$ increases." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Plot the distribution of optimal lag estimates.\n", "def opt_lag_dist(optimal_lags_dcorrx, optimal_lags_mgcx, n, M = 10):\n", " fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15,7.5), sharey = True)\n", " plt.rcParams.update({'font.size': 15})\n", " \n", " ax1.set_xlabel('Lag j')\n", " ax1.set_title(\"DCorr-X, n = %d\" % n)\n", " ax2.set_xlabel('Lag j')\n", " ax2.set_title(\"MGC-X, n = %d\" % n)\n", " ax1.set_ylabel(\"Freq. of Optimal Lag Estimates\")\n", " \n", " # Optimal lag predictions.\n", " weights = np.ones_like(optimal_lags_dcorrx)/float(len(optimal_lags_dcorrx))\n", " ax1.hist(optimal_lags_dcorrx, \n", " bins = np.arange(M)-0.5, \n", " weights = weights, \n", " align = 'mid',\n", " edgecolor ='black',\n", " color = 'blue')\n", " weights = np.ones_like(optimal_lags_mgcx)/float(len(optimal_lags_mgcx))\n", " ax2.hist(optimal_lags_mgcx, \n", " bins = np.arange(M)-0.5, \n", " weights = weights, \n", " align = 'mid',\n", " edgecolor ='black',\n", " color = 'red')\n", " \n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We simulate a nonlinear process that has clear dependence at lag 3.\n", "$$\\begin{bmatrix}\n", " X_t\\\\\n", " Y_t\n", " \\end{bmatrix}\n", " =\n", " \\begin{bmatrix}\n", " \\epsilon_t Y_{t-3}\\\\\n", " \\eta_t\n", " \\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def nonlinear_lag3(n, phi = 1, sigma2 = 1):\n", " # X_t and Y_t are together a bivarite nonlinear process.\n", " # Innovations follow N(0, sigma2).\n", " \n", " # Innovations.\n", " epsilons = np.random.normal(0.0, sigma2, n)\n", " etas = np.random.normal(0.0, sigma2, n)\n", " \n", " X = np.zeros(n)\n", " Y = np.zeros(n)\n", " for t in range(3):\n", " Y[t] = etas[t]\n", " \n", " for t in range(3,n):\n", " X[t] = phi*epsilons[t]*Y[t-3]\n", " Y[t] = etas[t]\n", " \n", " return X, Y" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "M = 10\n", "num_sims = 100\n", "\n", "dcorrx = DCorrX(max_lag = M)\n", "mgcx = MGCX(max_lag = M)\n", "optimal_lags_dcorrx = np.zeros(num_sims)\n", "optimal_lags_mgcx = np.zeros(num_sims)\n", "\n", "# Run experiments.\n", "for n in [15, 30, 60]:\n", " for t in range(num_sims):\n", " X, Y = nonlinear_lag3(n)\n", " test_statistic, metadata = dcorrx.test_statistic(X, Y)\n", " optimal_lags_dcorrx[t] = metadata['optimal_lag']\n", " test_statistic, metadata = mgcx.test_statistic(X, Y)\n", " optimal_lags_mgcx[t] = metadata['optimal_lag']\n", " opt_lag_dist(optimal_lags_dcorrx, optimal_lags_mgcx, n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`DCorrX` and `MGCX` both close in on the correct lag as `n` increases, with `MGCX` having higher accuracy due to advantages in nonlinear settings." ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }