{ "cells": [ { "cell_type": "markdown", "id": "1304aab4", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

GEOG 172: INTERMEDIATE GEOGRAPHICAL ANALYSIS

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Evgeny Noi

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Lecture 9: Correlations and Autocorrelations

" ] }, { "cell_type": "markdown", "id": "4bb1d920", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Review \n", "\n", "* Hypothesis tests (Null, Alternative, p-value) \n", "* Checking normality\n", "* Comparing means\n", " * one sample (arbitrary aka assumed mean value) \n", " * two samples (compare mean between the samples / groups) \n", " * more than two samples (ANOVA) " ] }, { "cell_type": "markdown", "id": "1db3f720", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Correlation \n", "\n", "* Visual Understanding of Correlation \n", "* Mathematical Understanding of Correlation \n", "* Statistical Modeling " ] }, { "cell_type": "markdown", "id": "5228fb4e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Correlations = Linear Relationships in Data\n", "\n", "* Linear function $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept\n", "* Given two points $(x_1, x_2)$ and $(y_1, y_2)$ we can calculate teh slope $\\frac{y_2-y_1}{x_2 - x_1}$\n", "* The slope describes the relationship between the variables \n", " * positive slope (positive linear relationship: increase in X is associated with increase in Y) \n", " * negative slope (negative linear relationship: increase in X is associated with decrease in Y) \n", " * slope of 0 or near 0 (no linear relationship)" ] }, { "cell_type": "code", "execution_count": 1, "id": "6a40e653", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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speciesislandbill_length_mmbill_depth_mmflipper_length_mmbody_mass_gsex
0AdelieTorgersen39.118.7181.03750.0Male
1AdelieTorgersen39.517.4186.03800.0Female
2AdelieTorgersen40.318.0195.03250.0Female
3AdelieTorgersenNaNNaNNaNNaNNaN
4AdelieTorgersen36.719.3193.03450.0Female
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" ], "text/plain": [ " species island bill_length_mm bill_depth_mm flipper_length_mm \\\n", "0 Adelie Torgersen 39.1 18.7 181.0 \n", "1 Adelie Torgersen 39.5 17.4 186.0 \n", "2 Adelie Torgersen 40.3 18.0 195.0 \n", "3 Adelie Torgersen NaN NaN NaN \n", "4 Adelie Torgersen 36.7 19.3 193.0 \n", "\n", " body_mass_g sex \n", "0 3750.0 Male \n", "1 3800.0 Female \n", "2 3250.0 Female \n", "3 NaN NaN \n", "4 3450.0 Female " ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns \n", "import statsmodels.api as sm\n", "\n", "penguins = sns.load_dataset('penguins')\n", "penguins.head()" ] }, { "cell_type": "code", "execution_count": 2, "id": "4a179946", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.scatterplot(x='body_mass_g', y='bill_length_mm', data=penguins);" ] }, { "cell_type": "code", "execution_count": 4, "id": "597c0da9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.regplot(x='body_mass_g', y='bill_length_mm', data=penguins, fit_reg=True)" ] }, { "cell_type": "code", "execution_count": 5, "id": "88a644bd", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.jointplot(x='body_mass_g', y='bill_length_mm', kind='reg', data=penguins)" ] }, { "cell_type": "markdown", "id": "ccc7f195", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Mathematical Formulation of Correlation\n", "\n", "* Pearson's $r$ - sample and $\\rho$ for population. \n", "\n", "$$\n", "r=\\dfrac{\\sum (x_i-\\bar{x})(y_i-\\bar{y}) }{\\sqrt{\\sum (x_i-\\bar{x})^2}\\sqrt{\\sum (y_i-\\bar{y})^2}}=\\frac{cov(x,y)}{\\sigma_x \\sigma_y}\n", "$$" ] }, { "cell_type": "markdown", "id": "8278eac1", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Statistical Properties of the correlation coefficient (Pearson)\n", "\n", "* $ -1 \\leq r \\leq 1$ \n", "* The sign of the correlation provides a direction of **linear** relationship\n", "* 0 - means no relationship\n", "* There are no units associated with $r$ \n", "* The close it is to $\\pm 1$ the stronger the linear relationship\n", "* If we fit a simple linear regression model between $Y$ and $X$, then $r$ has the same sign as $\\beta_1$ (coefficient of $X$ in regression equation) \n", "* correlation value is the same regardless of what we define as $X$ and $Y$." ] }, { "cell_type": "markdown", "id": "0953337c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "" ] }, { "cell_type": "markdown", "id": "edd7c274", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Statistical Properties of the correlation coefficient (Pearson)\n", "\n", "* $H_0$: $\\rho_p = 0$ versus $H_a$: $\\rho_p \\neq 0$\n", "* The sampling distribution for Pearson's $r_p$ is not normal. In order to attain confidence limits for $r_p$ based on a standard normal distribution, we transform $r_p$ using Fisher's Z transformation to get a quantity, $z_p$, that has an approximate normal distribution. See formulas [here](https://online.stat.psu.edu/stat509/lesson/18/18.1)" ] }, { "cell_type": "markdown", "id": "cf4bfe8a", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Spearman Correlation\n", "\n", "* Spearman rank correlation coefficient, $r_s$, is a non-parameteric measure of correlation based on data ranks. First, two variable values are ranked. Then, Pearson's $r_p$ is calculated on the ranks. \n", "* Spearman rank correlation coefficient quantifies the degree of linear association between the ranks of $X$ and the ranks of $Y$\n", "* Also, $r_s$ does not estimate a natural population parameter (unlike Pearson's which estimates $\\rho_p$).\n", "* An advantage of the Spearman rank correlation coefficient is that the $X$ and $Y$ values can be continuous or ordinal, and approximate normal distributions for $X$ and $Y$ are not required." ] }, { "cell_type": "code", "execution_count": 6, "id": "c3243d8a", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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nrCI95%p-valBF10power
pearson3420.6[0.52, 0.66]0.08.34e+301.0
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" ], "text/plain": [ " n r CI95% p-val BF10 power\n", "pearson 342 0.6 [0.52, 0.66] 0.0 8.34e+30 1.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pingouin as pg\n", "\n", "pg.corr(penguins.body_mass_g, penguins.bill_length_mm).round(2)" ] }, { "cell_type": "code", "execution_count": 7, "id": "d149180d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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XYmethodalternativenrCI95%p-uncBF10power
0bill_length_mmbill_depth_mmpearsontwo-sided342-0.235053[-0.33, -0.13]1.119662e-051005.7170.99298
1bill_length_mmflipper_length_mmpearsontwo-sided3420.656181[0.59, 0.71]1.743974e-431.46e+401.00000
2bill_length_mmbody_mass_gpearsontwo-sided3420.595110[0.52, 0.66]3.808283e-348.34e+301.00000
3bill_depth_mmflipper_length_mmpearsontwo-sided342-0.583851[-0.65, -0.51]1.232734e-322.679e+291.00000
4bill_depth_mmbody_mass_gpearsontwo-sided342-0.471916[-0.55, -0.39]2.276941e-202.103e+171.00000
5flipper_length_mmbody_mass_gpearsontwo-sided3420.871202[0.84, 0.89]4.370681e-1071.87e+1031.00000
\n", "
" ], "text/plain": [ " X Y method alternative n r \\\n", "0 bill_length_mm bill_depth_mm pearson two-sided 342 -0.235053 \n", "1 bill_length_mm flipper_length_mm pearson two-sided 342 0.656181 \n", "2 bill_length_mm body_mass_g pearson two-sided 342 0.595110 \n", "3 bill_depth_mm flipper_length_mm pearson two-sided 342 -0.583851 \n", "4 bill_depth_mm body_mass_g pearson two-sided 342 -0.471916 \n", "5 flipper_length_mm body_mass_g pearson two-sided 342 0.871202 \n", "\n", " CI95% p-unc BF10 power \n", "0 [-0.33, -0.13] 1.119662e-05 1005.717 0.99298 \n", "1 [0.59, 0.71] 1.743974e-43 1.46e+40 1.00000 \n", "2 [0.52, 0.66] 3.808283e-34 8.34e+30 1.00000 \n", "3 [-0.65, -0.51] 1.232734e-32 2.679e+29 1.00000 \n", "4 [-0.55, -0.39] 2.276941e-20 2.103e+17 1.00000 \n", "5 [0.84, 0.89] 4.370681e-107 1.87e+103 1.00000 " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# pairwise correlation\n", "pg.pairwise_corr(penguins)" ] }, { "cell_type": "code", "execution_count": 8, "id": "b7ffdc33", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "corr = penguins.corr() # calculate pairwise correlations\n", "# Generate a mask for the upper triangle\n", "mask = np.triu(np.ones_like(corr, dtype=bool))\n", "# Set up the matplotlib figure\n", "f, ax = plt.subplots(figsize=(5, 5))\n", "# Generate a custom diverging colormap\n", "cmap = sns.diverging_palette(230, 20, as_cmap=True)\n", "# Draw the heatmap with the mask and correct aspect ratio\n", "sns.heatmap(corr, mask=mask, cmap=cmap, vmax=.3, center=0,\n", " square=True, linewidths=.5, cbar_kws={\"shrink\": .5})" ] }, { "cell_type": "markdown", "id": "71f77dcd", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Statistical Modeling and Correlations \n", "\n", "* Oftentimes our data has many variables (100s, 1000s)\n", "* If we know which of our variables are INDEPENDENT VARIABLES (predictors) and DEPENDENT VARIABLES (outcome), we can use pairwise correlations to limit the number of predictors without sacrificing much of the predictive power\n", " * in Statistics: use Accam's razor principle - the simplest model is preferred to the complex one (provided similar accuracy)\n", " * easier to interpret" ] }, { "cell_type": "markdown", "id": "9ba39819", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Misusing Correlations \n", "\n", "* The correlation methods discussed in this chapter should be used only with independent data; they should not be applied to repeated measures data where the data are not independent. For example, it would not be appropriate to use these measures of correlation to describe the relationship between Week 4 and Week 8 blood pressures in the same patients.\n", "* Caution should be used in interpreting results of correlation analysis when large numbers of variables have been examined, resulting in a large number of correlation coefficients.\n", "* The correlation of two variables that both have been recorded repeatedly over time can be misleading and spurious. Time trends should be removed from such data before attempting to measure correlation.\n", "* To extend correlation results to a given population, the subjects under study must form a representative (i.e., random) sample from that population. The Pearson correlation coefficient can be very sensitive to outlying observations and all correlation coefficients are susceptible to sample selection biases." ] }, { "cell_type": "markdown", "id": "4493a715", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Misusing Correlations 2\n", "\n", "* Care should be taken when attempting to correlate two variables where one is a part and one represents the total. For example, we would expect to find a positive correlation between height at age ten and adult height because the second quantity \"contains\" the first quantity.\n", "* Correlation should not be used to study the relation between an initial measurement, X, and the change in that measurement over time, Y - X. X will be correlated with Y - X due to the regression to the mean phenomenon.\n", "* Small correlation values do not necessarily indicate that two variables are unassociated. For example, Pearson's $r_p$ will underestimate the association between two variables that show a quadratic relationship. Scatterplots should always be examined." ] }, { "cell_type": "markdown", "id": "33735282", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Misusing Correlations 3\n", "\n", "* Correlation does not imply causation. If a strong correlation is observed between two variables A and B, there are several possible explanations:\n", " * A influences B\n", " * B influences A\n", " * A and B are influenced by one or more additional variables \n", " * The relationship observed between A and B was a chance error.\n", "* \"Regular\" correlation coefficients are often published when the researcher really intends to compare two methods of measuring the same quantity with respect to their agreement. This is a misguided analysis because correlation measures only the degree of association; it does not measure agreement (Use Kohen's Kappa for that). " ] }, { "cell_type": "markdown", "id": "e4785d88", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Connection between correlation and regression \n", "\n", "* Correlation does not imply causation! Thus we can only state that there is positive/negative association between two variables. \n", "* Regression always comes with a strong believe about our understanding of direction of this association\n", "\n", "$$\n", "\\text{home value} \\sim \\text{number of bedrooms} + \\text{number of bethrooms} + \\text{proximity to amenities}\n", "$$\n", "\n", "* Regression breaks down our data into **dependent** and **independent** variables (predictors). Regression breaks down the how much of the variance in the dependent variable is caused by the variation in the independent variables (more on this later in the course). " ] }, { "cell_type": "markdown", "id": "d6677a90", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Regression \n", "\n", "* Line fitting (optimizing the slope and intercept of the line so that the distances between the observed points and the line are minimized \n", "\n", "" ] }, { "cell_type": "markdown", "id": "dfe7c60b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "" ] }, { "cell_type": "code", "execution_count": 9, "id": "dea881a3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " names coef se T pval r2 adj_r2\n", "0 Intercept 26.8989 1.2691 21.1944 0.0 0.3542 0.3523\n", "1 body_mass_g 0.0041 0.0003 13.6544 0.0 0.3542 0.3523\n", "R-squared is .35, meaning that body mass explains 35% of variability in bill length of a penguin\n" ] } ], "source": [ "x = penguins.body_mass_g.dropna() # predictor\n", "y = penguins.bill_length_mm.dropna() # predicted\n", "\n", "reg1 = pg.linear_regression(x,y).round(4)\n", "print(reg1.iloc[:,0:7])\n", "print('R-squared is .35, meaning that body mass explains 35% of variability in bill length of a penguin')" ] }, { "cell_type": "markdown", "id": "0f3c1691", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Correlation and Regression\n", "\n", "* Runnig a regression with one predictor is equivalent to running a correlation. In fact $r_p^2 = R^2$. Demonstrated on the next slide. " ] }, { "cell_type": "code", "execution_count": 10, "id": "ba0fd2bb", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "correlation coef: 0.354155703142187\n", "regression coef: 0.3542\n" ] } ], "source": [ "r = x.corr(y)\n", "print(f'correlation coef: {r**2}')\n", "print(f'regression coef: {reg1.r2[0]}')" ] }, { "cell_type": "markdown", "id": "b1c49315", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Autocorrelation \n", "\n", "> Correlation with a lagged copy of self" ] }, { "cell_type": "markdown", "id": "80fc3d19", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Autocorrelation\n", "\n", "* Correlation works if we have two variables. These variables do not have any referencing (no temporal referencing no geo-referencing). **ORDER and ARRANGEMENT DO NOT MATTER**. \n", "* Autocorrelation - relationship to itself. Works on one referenced variable. " ] }, { "cell_type": "markdown", "id": "587b815c", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 1D Case: Temporal Autocorrelation\n", "\n", "![](acf.png)" ] }, { "cell_type": "code", "execution_count": 11, "id": "77d24608", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "::\n", "\n", " Number of Observations - 309 (Annual 1700 - 2008)\n", " Number of Variables - 1\n", " Variable name definitions::\n", "\n", " SUNACTIVITY - Number of sunspots for each year\n", "\n", " The data file contains a 'YEAR' variable that is not returned by load.\n", "\n" ] } ], "source": [ "print(sm.datasets.sunspots.NOTE)" ] }, { "cell_type": "code", "execution_count": 12, "id": "1dc21794", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dta = sm.datasets.sunspots.load_pandas().data #sunspots per year\n", "dta.index = pd.Index(sm.tsa.datetools.dates_from_range(\"1700\", \"2008\"))\n", "dta.index.freq = dta.index.inferred_freq\n", "del dta[\"YEAR\"]\n", "dta.plot(figsize=(12, 8));" ] }, { "cell_type": "code", "execution_count": 13, "id": "042c259b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax1 = fig.add_subplot(111)\n", "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)" ] }, { "cell_type": "markdown", "id": "5675bf1e", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Global Spatial Autocorrelation \n", "\n", "### Recall Tobler's First Law of Geography\n", "\n", "> Everything is related to everything else. But near things are more related than distant things. (Tobler, 1969)\n", "\n", "#### We are going to give a numerical quantification of TFL in the following slides" ] }, { "cell_type": "markdown", "id": "a0cf1a9c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# What is Spatial Autocorrelation \n", "\n", "* it the absence of SA we observe complete spatial randomness (CSR): a situation in which the location of an observation gives no information whatsoever about its value. No discernible spatial pattern is observed. \n", "* Positive SA: similar values are located next to one another: HH and LL. Closeness + Stat similarity! Examples: income, poverty. \n", "* Negative SA: similar values are located away from one another. Distance + Sta similarity! Examples: grocery stores, schools. \n", "* The tools quantifying SA are typically gathered under the umbrella of exploratory spatial data analysis (ESDA) in geography" ] }, { "cell_type": "code", "execution_count": 14, "id": "24ab7e18", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Example not available: Guerry\n", "Example not downloaded: Chicago parcels\n", "Example not downloaded: Chile Migration\n", "Example not downloaded: Spirals\n", "(85, 24)\n" ] }, { "data": { "text/html": [ "
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5 rows Ă— 24 columns

\n", "
" ], "text/plain": [ " dept Region Dprtmnt Crm_prs Crm_prp Litercy Donatns Infants \\\n", "0 1 E Ain 28870 15890 37 5098 33120 \n", "1 2 N Aisne 26226 5521 51 8901 14572 \n", "2 3 C Allier 26747 7925 13 10973 17044 \n", "3 4 E Basses-Alpes 12935 7289 46 2733 23018 \n", "4 5 E Hautes-Alpes 17488 8174 69 6962 23076 \n", "\n", " Suicids MainCty ... Infntcd Dntn_cl Lottery Desertn Instrct \\\n", "0 35039 2 ... 60 69 41 55 46 \n", "1 12831 2 ... 82 36 38 82 24 \n", "2 114121 2 ... 42 76 66 16 85 \n", "3 14238 1 ... 12 37 80 32 29 \n", "4 16171 1 ... 23 64 79 35 7 \n", "\n", " Prsttts Distanc Area Pop1831 \\\n", "0 13 218.372 5762 346.03 \n", "1 327 65.945 7369 513.00 \n", "2 34 161.927 7340 298.26 \n", "3 2 351.399 6925 155.90 \n", "4 1 320.280 5549 129.10 \n", "\n", " geometry \n", "0 MULTIPOLYGON (((801150.00000 2092615.00000, 80... \n", "1 MULTIPOLYGON (((729326.00000 2521619.00000, 72... \n", "2 MULTIPOLYGON (((710830.00000 2137350.00000, 71... \n", "3 MULTIPOLYGON (((882701.00000 1920024.00000, 88... \n", "4 MULTIPOLYGON (((886504.00000 1922890.00000, 88... \n", "\n", "[5 rows x 24 columns]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from libpysal.examples import load_example\n", "import geopandas as gpd\n", "guerry_loc = load_example('Guerry')\n", "guerry = gpd.read_file(guerry_loc.get_path('guerry.geojson'))\n", "print(guerry.shape)\n", "guerry.head()" ] }, { "cell_type": "markdown", "id": "b5a464d1", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# André-Michel Guerry, 1802–1866\n", "\n", "|||\n", "|---|---|\n", "||

French lawyer and amateur statistician, who, together with Adolphe Quetelet, is considered a founder of moral statistics, which led to the development criminology and sociology

Read more [here](https://www.datavis.ca/papers/guerry-STS241.pdf)
|" ] }, { "cell_type": "markdown", "id": "c7d70f21", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# First Look at Spatial Autocorrelation - Choropleth Mapping\n", "\n", "1. Can you discern patterns on the map? \n", "2. The shape and size of geometries can also significantly distort our perception of the underlying pattern!" ] }, { "cell_type": "code", "execution_count": 15, "id": "aad7ab95", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# re-creating the three maps from original publication\n", "fig, (ax1,ax2,ax3) = plt.subplots(1,3, figsize=(12,5))\n", "guerry.plot(ax=ax1, aspect=1, fc='None', ec='k')\n", "guerry.plot(ax=ax2, aspect=1, fc='None', ec='k')\n", "guerry.plot(ax=ax3, aspect=1, fc='None', ec='k')\n", "guerry.plot(column='Crm_prs', cmap='Greys', scheme='quantiles', k=5, ax=ax1, aspect=1, \n", " legend=True, legend_kwds={'loc': 'center', 'bbox_to_anchor':(0.5, -0.3)})\n", "guerry.plot(column='Crm_prp', cmap='Greys', scheme='quantiles', k=5, ax=ax2, aspect=1, \n", " legend=True, legend_kwds={'loc': 'center', 'bbox_to_anchor':(0.5, -0.3)})\n", "guerry.plot(column='Instrct', cmap='Greys', scheme='quantiles', k=5, ax=ax3, aspect=1, \n", " legend=True, legend_kwds={'loc': 'center', 'bbox_to_anchor':(0.5, -0.3)})\n", "ax1.set_title('Crimes Against Persons', fontsize=16); \n", "ax2.set_title('Crimes Against Property', fontsize=16); \n", "ax3.set_title('Instruction', fontsize=16); \n", "ax1.axis('off');\n", "ax2.axis('off');\n", "ax3.axis('off');\n", "fig.savefig('guerry.png')\n", "plt.close()" ] }, { "cell_type": "code", "execution_count": 16, "id": "0da9db61", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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udgAzPemwAfi6X10SsE/vQ5zTb71RUB4gh5wQ4pgQ4hdQbgalnpe9D+eGITrM51CCrJHB/gZCiGNRlrlBCPFXKC1q3jJv9Pz73YDVr/f8u2mghRdCdAshVkIZM5OJvjflbwo+R/kcHYiNUD7nqwJevx5Ka2Zgau2rA36/yrP9Ns/v3pbC+BDXg0iSIoR8/56A/UUA/wXl4fxT8Q2cOoGFJxT7oCRsAgZ3btQE7MObpObCgPXWQmm1+n6YfUV0fM+1bzeAqzxJkrzHzYfSqr4x1LaMDRVuAfsWEEJsIqK7ATxNRGOgPNzUQqn5PB/KBes6KN1phtPdUB6+1xDRS1BquVOg9L1WCSHuJaKlUDJsfQAl+5cRSnaxLnzx0NALEaVBqQl/XQjRZw4dImqA0uJzA5Suc09DyXC0hogegXKRvtvzr3+N3KdQxpT8jYiegvLA/wiUz3LQlRWeMS+fQsk25k3zfhmUv5N3DEaFpww3E1Grp4zHhBCBLVUREUJ0EtHPAPyJiFKhjBXqgNIlaR6ADUKIf/RT7g+h1GbvgfIgOhnK5/+i5xiHieifAB723Dg/hzLm5AEA/xRCRPW9I6JfQanJ/wxKjXwOlO/EPiGEOZp9fV3wOdpnOZ+jkfkYSgrsFzzn72EoWSi/DyWpS3PA+uOI6BUo2eJGQckYt9H7NxBCbPCcq++QMvfcDiitoAWe/d4jhKjop0xHPP/+hIg+BuAOCNZfgpJAYSKUrJrsW8BTQfQsgDehTGmhgnIOuwCs96zm/W7cTkSvQTl/DvTTBXUnlJ4T/+vp5muHMv2Bzn8lIcRnRPQulGtorueYGijjFlcJITZEefwHoIwxXUlEf4aSsOoRKPfHp/r9QBgbLPE1yATCP0PzA6Xm5m0oD1FOKN1X1kLphy951lmB0FmCXkXwDGvfD1jvYQTPgnUSygOX/2tjoDwMNEG5sJ6GMr5iiWf5aCgX9BP4Yl6PjwCcG+Z93uU5/nlh1tnq2Sd5fp8C5UHGBqU7zgNQbiZtAdtdDeXBywblYee7YT6XFQGfXbC5fjZACXIA5Ybyome/3VDm6dkJ4LqAbW6BMtjZ5TnO/DDvM+hxg6y3BEpA0wllPFIVgJcBjA339/O8/hMoNe3esUzHPN8B/zm+vPOA1Xi+ezUIPQ9Y4Pdpvv/7hNLqsQbK99gOJWnBS/BkSfwm/4DPUT5Hg68T7m/unQfsDJRWrwqEngfsO57jtUMJkP8BT6ZEv3UlKNM/7Pd8hh2e//8OSstYyO+VZ5kKSrfVJijBmwiyzhoolSfqcO+bf76an8Dvm+cc2BJkvZMAXvX8Pw3KtCIVUFq2W6G0FF0UsM1DnvPXjb7zcP0mRHnGecrQDaUy5W6Engfsl54yOPDFtWh0hMd/OGB/gfOAfYgQ84CF+2z4h38G8uO98TF2VvF0O9gDoFkIcf5XXR7GWG98jkaOiOZDqWBZJIT49CsuSyKUh+hnhBAPfJVlYYyxryvugsjOCkT0ayitPjVQxuJ8H8ocNUu+ynIxxhR8jn6zebpIjobSuiZByYjIGGMsCA7A2NlCQJl3J8vz/wMAlovIMjcxxr58fI5+s10C4BUorV83CiEGk3KcMca+1bgLImOMMcYYY4wNE05DzxhjjDHGGGPDhAMwxhhjjDHGGBsmHIAxxhhjjDHG2DDhAIwxxhhjjDHGhgkHYIwxxhhjjDE2TDgAY4wxxhhjjLFhwgEYY4wxxhhjjA0TDsAYY4wxxhhjbJhwAMYYY4wxxhhjw4QDMMaGERHRV10Gxlhk+Hxl7JuDiPiZln1j8JeVsS8JEemJaAQR3UhE/y8tLe1UXFxc2VddLsZYX0SkI6JEIrqSiK4dMWLEe7Nnz5aJKPmrLhtjrDdSGInoPCL6r/j4+N9ccsklbpVKdf1XXTbGIqH+qgvA2LcJEWkBLJEk6f/S09NTsrOzXampqQ4ikg0Gg+ngwYOZRCQJIeSvuqyMne08LVyjALxUXFw8+5JLLsHixYu7AYi8vDzTsWPHLFu3bp0JYOVXW1LGGAAQURKAe1JTU38+b948LF++vCsjI0NKSUlRGwwGlJeXXwbgja+6nIz1hwMwxgaJiOIAXJOYmPiDkpKSKUlJSXZZlmMyMzMB5RzznWcFBQWOkydP/gzAE19RcRk7q3m6KV2Yl5e34vbbb1927rnnIi8vLyYpKQk6nQ4ATN51i4uLNdOmTXscHIAx9pUhohKtVvtfCxcuXPHLX/4ydcKECSoAmDRpEgDE+q97ySWXXEpERUKI6q+gqIxFjAMwxgaBiApzcnJ2jB8/3qDX642el2NkWRYOh0PWarUq//VjYmLUOp1uETgAY2zYEZFq/Pjxq1588cXZ5557rlGSJN8Yr1WrVoni4uJeY77UarUmJyenlIhUQgj38JeYsbObwWC46aGHHvrTFVdcodbpdBrv64cPHxYA+ozRLC0t1QIYDYADMPa1xmPAGBsgvV7/o/z8/J1Tp05N8gu+AACSJFFnZ6cqyGZST0/PnmEqImPMg4gmLViwYO+HH3543syZM03+wRcA5Ofni2DbdXZ2NnHwxdjwIiLNyJEj33344Yf/fN111xn8gy8AGDNmDDU3N/c5L81mMwE4MmwFZWyAOABjbIBiYmKunTJlSnKozEtarbbPOC8igtFo/DERXRtkmSbwNcbYkBn3l7/8ZUxhYWFMsIWlpaVSW1tbnyAsIyMjTafT/drT1diHiNScJZGxL4122bJl37n88sv1wRZKkoQTJ070qeQsKChwq9XqvxHRRP/XPUk7uNcX+9rgAIyxAWpra2twu93OUMtjY2PJbDajra0NTqdTBgBJklSLFi3STJw48Q0imuW5KSxPTk4+VFBQ4NBqtT8fvnfA2FnlwNatW8M+gLndbjp+/DjMZrPvtfvvv1+sWrXqvpSUlMcAgIhG5+bmrly8eLFzwoQJx4koWEs3Y2wQhBA9+/btC7tOYWGhvGfPHhw7dsz32tSpU1V79+49b+7cuSuJyEBEpvj4+N+ee+65DUuXLnUSUcmXXHTGIsK1AYwNUExMzOUqVehnLyKi1NRUtLe3A3591YmICgsLxZkzZ/5tNpvLJ02aNKOgoEAFAGq1+gki2i2EWPdll5+xs4lWq/1+SUn4Z69Zs2ahp6cHu3bt8r0mSRLl5eWpbrvtth+YTCbdhRde+P0nn3zSpdPpUF5enr58+fIXiOhW7qbI2NAhovwf/OAHYddJSUmRUlJSsGPHjl6va7Va+vWvf528fPnyNSqVqvStt94yZmdna91ut3z48OGVRDRPCFH3ZZafsf6QEEG7vTPGwiAiKi4ulktLS/td1263g4ig1Wr7LGtpaUFSUpLbW4suhBDbtm2jhoYG7trE2BAaP378JwcPHrwgknU//vhjjBgxos/rDQ0NkGXZnpWVpfO+9tZbb+GBBx44TwixZQiLy9hZjYi+88EHH7w1ZsyYfluY9+zZg0mTJkGSenfqcjgcOHjwIM455xzfax0dHWLWrFl/dzqdNw59qRmLHLeAMTYAQgiRn5/fACCjv3V1Oh1sNptobm4mlUoFrVYLIoLb7YbRaJT9uzB5xpS0fpllZ+xsVFlZuRtARAHYokWL8Mknn4CIEBMTAyEEnE4n7HY7iouLdf7reioxO76EIjN2NjvZ0tLSAyCuvxWnTJmCQ4cOQZZl6PV6qNVqdHd3QwjRK/gCALVa7QDfY9nXAAdgjA2QEMIR6bp6vZ70+i/GEjudTvT09CA2NrbPOMysrKxEIholhKgYoqIydtZzOp0WWZZFYPbDYNRqNRYvXuz73eFwoLo6eFbrpUuXOh966KFlAA4OWWEZYzaHwxFxnoLA3ihdXV1obm7us57RaNTNmTPncgB3DbqEjA0CJ+FgbIDa29vzHI6IY7BeNBoNiAg9PT19lsXGxjokSfq5SqX6aUpKSg0RzQ2VaZExFhkhRPLWrVsH1LVXq9UiPj4eDQ0NfZYZjUZNamrqbUR02fTp08v1ev19RGQKshvGWOQ6tm3bNuDzKDY2Fu3t7ejo6Ns4nZWVlU9ESwsLC9cUFRV9TERZgyopYwPAY8AYG6C8vDwxefJkhEvE0Z+enh64XC6o1WphNBp9D4cdHR0Wt9stqVQqfUdHByoqKjZ1dXUtEEL0SW3PGOtfQkLCc01NTT8KNhYzUlarFceOHUNdXR2Ki4t9r/f09Ni3bNkiTZ06VbNx40Zs2LDBtWbNmlFCiBNDUXbGzjZENO2FF17YMXfuXKFSqQY8JrqiogI9PT2YPHmy7zVZlsX69etdpaWl6iNHjlBlZSWeeeaZ77vd7peGpPCMRYADMMYGgIhUo0aNso4bN25I5u5qaWlBYmJin0HEXg0NDbZt27YtEEJsH4rjMXa2mTp16r937dq1bCj2deDAATQ3NyMnJyfocpfLJc+ePfuPbW1tPx6K4zF2tiGi76xdu/aV/Pz8fseA9cdqteLo0aOYMmVKyHXuueeelvfffz9lsMdiLFLcrYmxgTHJsjwkwZcsy9BqtSGDLwDQ6XROANOI6GYiKiSiJUQ0JA+TjJ0NJEnKtlgsQ9KCfPr06ZDBFwCo1WrJaDTmEtFVRHQRERUR0a1EFDsUx2fsLJDT1dVlHIodnT59GmPHjg27TkxMjImI5hDRjUSUQET/j4gmDMXxGQuGk3AwNjBjqqqqYDaboVKpvF0cRFJSEnQ6XVTdJSRJgt1uR2xs6GczrVarSktLe2706NFobm6GTqeDRqOBSqV6W5bl73LXRMbCk2W55JFHHpGKi4tRV1cnCgoKaPny5YiPj496X4WFhejq6pKDJdHxSkpKuvzRRx+93Gw24+TJk5g6dSqeeOKJ3xBRqRCi72AyxphPWlraGJVKpdq1axdUKhVcLhfGjx8PtVotq9XqqBoP8vLy5KqqKmncuHEh10lOTtbdddddmydOnIh169bhvPPOw4YNG6BSqa6QZfl9wd3F2BDjLoiMDQAR/ReAFwEY/F4WiYmJNG/ePCjZ5CPX3t6O2NjYsOPJXC6XUKvVvXZ85swZVFZWoqWlZYoQYm9UB2XsLEFEhssuu8xy4YUX+l4TQqC5uRk//vGPkZCQENX+Ghsbcfjw4bCtYFarVTYYDL0eFG02m7jlllvo+PHj9zc1NT0a3btg7Owxc+bMza+99toc/9daWlrQ3NyM0aNHR7UvWZaxa9cuTJ8+PeQ6brfbDUAKHG/22GOPYevWra1VVVXpQghXVAdmLAzugsjYwFSid/AFANTW1ob//Oc/UK7lykOexWJBV1eXHK6yIzY2FrIsB83Y5BUYfAFAZmam9yFw0P3kGfsWc2zZsgXNzc2+tKVEhNTUVLz00kti/fr1AJTz1Ww2o7m5GTabLeQJm5CQIObOnYvjx4+HPGBg8AUo01H84he/gMFgyB/c22Hs2+3QoUNV77zzTq/XkpOTMXLkSLFjxw7fay6XC52dneju7g7ZC4SIxOTJk3Hs2DFYLJag57VK0ecee9dddyEzMzMJ/LzMhhh3QWQsSkQUA2B1qOVutxtr164FEcFmswEAhBBSaWlpr8xp/lQqFYQQMBqj7/J+4sSJI0KIjSHKagDwTwA9AG4RQnRHfQDGvuFSUlJeWL58OVatWqX9zne+Y4uNjfVNymcwGGjLli3YunUriAgajQaSJMHpdNIvfvGLoPvzdjMeSA+SVatWoba29vZQyyVJusVoNN7W3d29QgixL+oDMPYNR0QL77vvvhUVFRVYvXo1Lr74Yt8ylUpFJSUlYufOnRQbG4ukpCTvMABJkiQRExPTJ4giItJoNLBYLAi2PJz6+nrr5s2bfxlq3k8iGlVUVPTv5ubm33d0dLwY9ZtlZy0OwBiL3sXopzbMG3h5jR8/HjqdDi0tLUhOToYQolc3RbPZDFmWkZ6eHlVB3G63KzY2diwRTQ7sgkhEagCrACzwvPQYgMNRHYCxbzgiirn44ov/a/Lkyd5U1PrAdVJSeic/a21txfLly7Fjxw5MmzbNux/f8m3btqGtrQ0ZGRlRlyc9PR1JSUn3AfhVkLL+96RJk17IzMzE2rVrrwWwL+oDMPYNN2bMmLtXrFgRcnlcXBx5z0sAaGhoECaTiZqamig+Ph6JiYm91m9qahInT54knU4XdVlaW1sNpaWljwD4feAyIipeunTpoffee09z0UUXPQ9lWAJjEeEAjLEoeDIPvhvtdrW1tejo6IAkSUhMTERPTw8mTpyIzMxMEBESEhLQ3t4edXlUKpV68uTJ7paWlh8BuDlg8XIA8wAIAATgaNQHYOwbjIhSk5OTq2bNmhVVxlKXy4WVK1dCrVZjzZo1UKlUMJlM+NGPfgQiQmlpqairq6NwmUtDuf7667Fz5877iOjX/gP7iUg/YsSIFwsLC3HgwAG43e7Xo945Y99gRCTp9fpXfvWrX10SzXYqlYpOnTqF0aNHo7q6GsePH4fRaMSYMWMAAImJiSI+Pp7MZnPUZZo2bRpuvvnmWCKaJYT43H9ZaWnpC++//75606ZNKCsrey/qnbOzGgdgjEVIq9XecuWVVz4XFxeHl19+OaptvWO7ZFlGS0sLAODo0aM4deoUAKCrqwtpaWlISUmB0+kEAOF2u4UkSdTZ2UmSJEGv18NisUClUoGIEBsbK6vVamnv3r1Om832iv/xPK1f8wDYAWgA/IEzJbKzCRGNu+aaaz67/fbb49atWxfVtmlpab7/x8TEAFASAPz6179GTk4OmpqayOl04uqrr0Z3dzeMRiNqamrk/Px8adeuXdDpdDCZTOjs7ITT6UR2djbsdjuKiorw7rvvYtu2bU8EyaqW6g3obDZbmxDi4KA+AMa+QYgoZuTIke/ef//9F0Q7WXpqaipSU1MBwJdu/ujRozh8+DCICN3d3RIA5OXlweFweO/DcmJiIp04cYIsFgsAIC4uTrS3t1N6ejq6u7tRWlqK+vr6nueff74CQHlAeeNGjBgxV61WU2Njo7BYLH1atBkLhwMwxvpBRDEJCQlP33rrrf9VUlKiBQBJkuS//vWvwCAG5nZ2dqKzs9P3e1dXFywWC6ZNmwZZlmEwGCRZloX3xgIARqMRngc3amlpkbRaLVwulwvA94noCgCfesr0PIBMAC4oLWD2gZaTsW8SIiJJkq6+9957//rYY48ZiQiTJ0+Wn3rqKUpNTY0uPamf5ORkuN1uYbPZKC5OyXnz97//HVdeeSVaW1tFYWGh5HK5xPTp0/scw+Vy4cCBAzhy5AhaW1vR3d09Va/X/9lut+8BcMRkMt0/adKkCzIzM52yLFNzc7OdiLShxp0w9m1CRKOmTZv2/p/+9Kei+Ph4NQDs2LEjbNbC/nhbv9xuty+7sMViQW1tLdLS0pCWlkaSJNGYMWP85+Ak7zb19fXYu3cv7Ha7saOjIyYpKem3BoPhlM1m22Aymebcc889D19xxRUyAHz00UcEwDrgwrKzEqehZywIIkoDcLVer8+bPn36LYsXL1bHxcXF+K+zadMm8eabbwoMXXYkMWnSJCosLIxqI7fbjZUrV0KWZSeUm4AEICagXHYAs4UQu4eorIx9bRCRDsBlkiTlXXjhhT+45557sufPn98ro01nZ6f87LPPUnJy8oCDsEBNTU247rrrot7uoYcegt1uR3d3d1dXV5cqJSWFNBqNL6uqxWKxbdy48Tmr1XrPUJWVsa8LUgZUTgMwq7i4eOFVV1216Prrr1er1epejQI7duzA1KlTMZCuvsHU1tYiKysLAYfpV2VlJRYvXoy2tjZrWVmZe9SoURg5cqTJu9ztdsuXXnpp3apVq/KGpKDsrMABGDvreW4G56pUqvMNBkNWYWHhgpKSkqJp06bJOp1OrVarQ44faWhoEL/5zW+EEGLQdwiNRoOlS5cOaNtNmzb5ujaG4AAwRQjBSTjYNx4R5QJYkpycPK6goGDUxRdfvOD666935Ofna2NiYkL2XxJC4Fe/+hX8W5UH45xzzhGJiYlRB3RlZWV4//33Qy53Op22NWvWPOdwODgAY994nszBF5tMphmxsbGp55133vIFCxZoZs6cqdHr9RoKM3Hmvn37MGnSpCEpx65duzB16tSot3O73VCr1aK4uDhkOZcvX376gw8+yB1UAdlZhbsgsrMaEWVkZmb+ffny5TNLSkp0gTVw/cnIyKC0tDRqbGwcdFnGjx8/4G17enr6W0UL4FEi+pcQ4l8DPhBjXyEiUptMpp8/8cQT9998880iJSXFv1W634EjRIQpU6bIp06dGnSFSWNjIwYSfAHA4cPh60EkSVK7XK7riagbwDNCiK6BHIexrxoRzVu8ePHbP/rRj/RFRUWxYWKtoCZNmoTu7m7ZZDIN6pytra3FxIkTB7St3W6X8/PzAU8XxWAcDkcOET0L4GUhxP6BlZKdTXhiOfaVIqIxRFRPRH8nIlPAMjURFXoSSgz1cTVxcXG/ueiii47fc88980pLS43RBl9ekyZNGpJm5MF0s3A4+h0qYoWSPv9VIionouATkjHWj4KCgrLU1NRtRDQlcBkRZRFR/FAfk4hIp9MtueKKK6oPHDjwy5///OeGgOArYnPnzoXVah30OTuY87W/ChsiwuzZs5MXL178QH5+/imNRhOY4ZSxiMTFxd1bVFRUYzKZ/iewpYmI4ogo+8s4LhHllpaWrv3jH//40TPPPJM6YsSIqIMvr4qKikE/q3rn+BuIrq4uiomJCVuGRx991HrmzJnbHnvssbJx48a9Q0T8fM3C4hYw9lXLgJIs4nsAriCiCgCvAmgF8BqUwMFARD8VQjw12IMRkTE2NvY38+bN++/zzz9fJCcnD+ghzl9paSmtW7cOSi6MgWtqakJubvQ9GIQQ0Gq1feYeC2Dw+38xgAoiuh/ARiHElqgPys5acXFx03/84x9j48aN28eMGdN27Nix/xNCbEhPT//ommuuUVssFmRnZ++tr6+fGiTTX9QMBsP3Lrvssl9///vfT1+6dKmh/y3C0+l0kkqlgsPhEFqtdsDjwQZzvmdkZPgyowYjSZI6NTVVDQBTpkyJN5lMLxHRIgBrALw2FJ8rOzsIIUbdfPPNeQ0NDX8qKyv7ndFofNtisaxTq9WXXnLJJVclJCTYx40bJ44cOTJ1KLqoE9H4MWPGPPXzn/98wQ033ACNRjPo50ybzYYTJ04g2vHR/uLj49Hc3CxSUlKiPueNRiP19PTIRqMxZFA1efJkAwDcd999mDdv3neuuuqqViJ6EMDbQogzAy44+9biMWDsK+WpkbsRwB8BGAG4AagAWKAEDd6LpQxAPdgHj8TExOd/+ctf3hQTExP9jIwhvPTSS9izZ0+oxd7y9nvR12q1uOSSqKY/AQBs2LABbW1t0W7mhjIuzABgmRBiZdQHZmclIhozbdq0zStWrEgGgOPHj8PhcKCwsNCu1+t1ALB371789a9/nSGEKBvksea8/fbba6688spBV5R4ffbZZ0hJScEHH3wAvV4Pt9sNu90Op9MJIhJJSUnQ6XRBz1er1Yr29nYIIaBWq3HhhRf2mcS5PytXrsSGDRuEWq2O6kHQbrdbu7q6DGVlZf90OBzXcxDGIkFEcXq9/pXf/e53l6lUKlVHR4c4efIkZWdn96SkpBgBwOFwuB988MG/dnZ23jrIY6mWLFnS9Pvf/z5paEoP1NXVgYjQ1taGnp4eSJIEnU4HlUolLBYL5eTkyBkZGSEDowMHDkAI4TvPZ86cGdXxu7u7Za1WK5WWlka1XVdXl7OtrU1897vf1W7bts0ohLBEtQP2rcctYOwrJYQQRLQFX4zfUHn+9X/g8mYaVEFJqz4gRKSZOXPmVUMZfHn2G3ZxpPuJtkuT3W6Xq6urpQEEX4DyWRoAIDY29j8ajeY+p9P5W+9CIlIBkPkhjwVR0d3d3QIgGQBGjBjhfd13XnkSwgy6tSozM/N7l1122ZCer2q1GjqdDtdcc02wxdTS0oL169dDlmUkJyf7FnR2diIrKwsLFiyAyWSC1WqFLEc3td7atWvx6aefQq/XR10Lr9PpDGq12j1ixIhr6+rqphHRKO/56e3uxHP9sUBCiE5JkvY5HI7FBoPBEB8fT56xUL4sofX19Sq1Wj0UmWlmXXHFFUN6vsbHx0MIgaysrMBF3nNI2r17NyRJwoQJE3wp5wEli+KUKVMgyzK0Wi327t0b1bHNZrPo6uqSLr744qjLHRsbq4mNjcVtt92GlJSULiIqEUJU+gpPpBJCuKPeMfvW4ACMfR08hvDjEQnAIiHEoPr4qdXqHyxevFg/mH0EE64rUT9k+L1vt9sNIUR/AZ2P2+2mY8eORX1QIsKECRNgNpvhcrkwY8YM7N+//3EieoOIbkhKSrosIyNjWnd3N4goUQjR7tnOBOA8ALWcTfGsdsn8+fNHhVrY0NBg/fDDD9cIITYM5iBElPP444/foNFoVP2vHbl+uuoiOTkZV111FTo7O7F3717U1NQgLi4OeXl5YurUqb6Tk4jknp4eyWg0httdL5999hn0+ugvQWazGUQEo9Goys3NRUJCwsht27bdQkTmSZMm/aS4uHhkQUFBqkqlusztdv/bUz4CMAOACcA6Ds7OTkQkzZgx41cGQ+j6kNdeew1tbW03DfZYU6dO/f3s2bOHrLUaUM7X/lqZzznnHDidTtHc3Ew1NTXQarUwGo0oLS11+Y/tdruji3e6u7tpIMHX7t270dXVhfT0dOTn5+Nf//qXVFxc/BIR3TJy5MjHY2JiRlx//fWliYmJ77e1tX3Hux0R5QOYDGVowIBqVtk3Bwdg7OvgbwCWwK9GLkAPgNFQJhkesIkTJz6YnJwc+dNShDIzM1FVVRXNJt7Aq1fQ6XQ6BaJoMYuJiSGtVgu7Pbo5llNSUlBUVISioiLIsiwkSaKMjAxoNJra5ORkX01jV1cXbDZb2+jRo2sqKiqumzZt2tbHHntM3rVrl2Q0GnelpqaePH369Msul+vjqArAvunW7927t7u0tNQUbGF6ero+Pz8/k4hoMC2oKSkpd9xxxx1Dfo9KTEyMaL24uDjMmzcPXV1dbr1eTxqNptf5qtfrperqapGWlhbxOVtYWIjq6uqoyivLsoiLiyOdTuc7X3U6HWbOnPn8smXLsHjxYndMTIxKlmU88sgjHy5cuBCfffbZ9NTU1Gd++9vfzkpPT8f//M//WHNzc1c2NDSUuVyuPwsheNLYs4QQQjYajW8KIa4Ole59+vTp1pUrV8YD6BzocYho8nPPPVcaLqX8QJhMJjQ1NSEtLS3sehqNhtLT05Geno7u7m63yWRSYZDPuKmpqbDb7dDpomvUs1gsmD9/PlwulxgzZgwBwJVXXnneqFGjjpxzzjmYMWMGAOCVV165/Lvf/a746KOP7uzq6jLdfffdv1m+fLn829/+VjIYDO8mJSW11tfXPy6EODGY98G+njgAY18HaxC+u5IRwBNEtNa/CT9aZrO5xuFwJGu1Wt/33uVyyT09PSI+Pn7AtexjxozBgQMHREdHR6Q3nqCtfRpN2OlQ+nC5XMJut0d9s5MkydfSJkkSAYDRaOzTxSM2NhZxcXF45JFH8quqqrZeddVVzsTERM0FF1yAn/70p1PUavXUlStXXpGamvqk2Wz+ebTlYN9MQojuoqKizwFcGGw5EdF3v/vd0qeeeuqHAP4w0ONYrdZTBw4ckL0PK17Hjx+XR4wYMeAMY2lpaTh27Bg8aaX7FRsbG/TaYLPZRHp6elTn3/HjxyNu4faSZV9PYPKer0II3HLLLd7xLCpAOa8feeQRVFRU4KKLLtqxePFiTJgwAQBQXV2tJ6Kr6uvrl1155ZUPEVE8dy8+e1gslg/a2tqWJCUlxQZbfuGFF2oOHjz4FhHNGUS3uOYDBw5oLrzwQuF/IzObze7Y2Fjo9foB3WP1ej0OHDjQbwDmzxN89RHtudfU1IQpU/oke+2X9zj+4zyXLl2KRYsW9VrvpptuwpgxYzB//vxnMjMzcdlllwGAdN5558HpdF4uy7K45557fkBEgx5Py75+OABjXzkhhNMzhqFXl7wAMQBejIuL25uVlVVQV1e3vbu7++lobha1tbVX/PKXv3zx3HPPnZefn28sLCzEzJkzhdFopNWrVyM1NbVX//Fgzpw54w1cEBcXJ/R6PRkMBnR1dQ261s/lcqGhoQEZGRkRra9SqQZ0zKamJrjd7l5JAAwGg28iZyGEr8uHXq8X8+fPp4ULFwKAL4evWq2WAGDp0qV0ww03/IyIXhdCHBhIedg3T1dXV0dnZyfi4uKCLs/JyTHOnDnzOZPJpMnOzj7HYrF0nz59+uFosoH19PT8ec6cOdmLFi1aMXfu3PTJkycjIyNDnjRpkrRp0yaMHTu2365JZ86cwbFjx2A0GpGfn4+0tDQkJCQIg8Ew6PNVrVZTTU1Nr3FiEWwTdTcotVotdXR09Oq6qNFosHHjRqxduxZtbW34yU9+4sugmpWV1WdCd++1IicnR//444/rly9f/iSAn0RVEPZN1lpTUxOblBQ8N4ZKpVJfddVVk5566ql7MzMzC2NjY2Orq6tfdLlc6yM9gBDiFBFd8dlnn/16wYIFpePHj0dqairGjx8vHTt2DCkpKcjMzAy7D1mWsXv3bhARsrKykJ6eLlQq1ZA1qkmSBFmWIx5vPdCpJoKlu09ISMDGjRsRHx8Ph8OB6dOnA1CmkLn11r65T7wt7g8++KBjy5Yt2xFF7xj2zcBZENnXAhFdBuADKAk3gl5oEhMTsWHDBqHX66murs7y3HPPde3du/eTmpqawwBqoQQI+wBUBHaxISJ9UVHR9j/84Q8jR44cady5cyemTZvWa/+ffvopTCYTampqoNFo+jxctrW1iSuvvJKICEIIVFZWYseOHXjrrbcwkLFYgVJSUnDeeef1u55Go3FnZ2ervBNLSpKEd999N+IBxomJiZg3b16f2kC32y28D2ptbW1ITEwEEeHnP/85zj333JD7e//99/Gd73znASHEbyIqAPvGI6K09PT0xrvuuguxsUEr1XHgwAFcd911mDt3LhwOh+vXv/6149NPP92ye/fu7U6nsxZKQp1TAPYLIVoCtzcYDL944YUXHrj++us1HR0dUnJycq8v7LFjx9DZ2SlcLhfFxcVh3LhxvbZ3u92oqKjAmDFjAABOpxNbt25Fa2sros1oFkxNTY3Iz8+P6KGosrISqamp2LNnDxITE1FRUYH9+/fLsiz3+4TncDiE3W6nwM/Z7Xb7KoyICI8//rjvWOGyqXZ0dDhLSkpUDQ0NeiGEM5Lys282IiKVSvXGrbfeeu3YsWODrtPR0eGora3V3nXXXQCANWvWWN95551j+/fv39DR0VELoAFK5tzdUMYB9xpTSETjL7300t0PPfSQ22Qy6Y8dOyZGjx7tOz96enpw7NgxxMfHo6urC2PHjoVW23vu9B07dvgCEwDYv38/7HY7xo0bh2jGWoZy+vRp5OTk9LtefX29sNvt5HQ6ERcXB1mWUVJSEjbbor+NGzdi3rx5vV6zWCyIiVGGx9XV1SE2NlbExcXRyZMnkZGREXZs6He/+128+eab2UKI+kiOz74ZOABjXxtE9CKA/w61vLi4GCtX9s2W7nK53E1NTRaNRkOHDx8WO3fuVL/xxhv3W63WlwFAkqQr586de99jjz2WnZycrAOUh0Nv95xAbW1tWLt2ra9m2zu4Nzk5GUuWLOmz/urVq/HjH/94AO+4t9LSUhQXh54fWaVSiXHjxlFRURFmzJiBxsZGXxcot9uN++67DytXruy3hn3BggVISEgIu05zc7OvdSE9PR3PPvtsn5ulv2effRZ33nnn9UKIf4TdMfvWIKJRF1544TFPt5k+urq6xA9/+EMYjcZeQYosy6K5udkiy7KoqamRt2/frn/xxRc/Pnr06F0AzgCYU1JS8sNnn312yYUXXqgBlODJ4XCIwH157dy5EyNGjIC3hv/w4cNobm7u8xAEKOfK5s2b5aysrAF3Y3S73dizZ0+fSpyA94nq6mpoNBosWrQIdrtdWCwWOTExUQUA7733Ht58803hdDrDBnFmsxmpqeET1NlsNvzP//yPGDVqFHV3d0Oj0WD8+PEh16+oqHCed955WxobGxeG3TH71iAiyszMlO+77z5ZpVIF/e4bjcagadotFou9s7PTYbfbxf79+zUfffSR+bPPPrsJwBYAI2JjY6//3ve+d9ePf/xjg7e5as+ePSG771VXV6O7u9t3D25paUFtbS1ycnLcqampfbqhBAZm0RJCoKGhAampqWGnf2hoaBBWq5XGjBmDvLw81NfX+7rmnz59GkIIZGdnh20ZO3XqlDs3NzdsVxpZlrF3716cc845AJSpZObPnx9yfbvd7ly2bJnmk08+iRVCdId9s+wbgwMw9rVBRFoAITNKxMbGYsuWLRFlEauvr+/+6KOPTBqNxrVw4UJrbm5ur+rjY8eOwe12I1htoNvtxoYNG9DZ2Ymenh6MHDkSgeNQ/DmdzsHWqIv58+dTuOQAer1e3HvvvdTfe9+7dy8effRRjBgxAqdPn8auXbt8y7RaLWRZxvTp05Genh52P4EPfXfeeSfmzp0bcn1ZlsVFF10kPv300/kzZsxYmZWVpfr00083dnZ2XiuE6ASUVkhJkm5WqVRjnU7nQ8FaPdg3S2pq6p477rhjcrBueE6nUyxYsIBCVXT4s1qtjjfeeANms1kzY8aM7nnz5pm84508+0JZWRnmzJkTdPuDBw+iu7sbY8aMwcGDB/ttSX733XfDBij92bNnDyZMmAC/BGt9dHd39zt+pKenBw8++CCEECIlJYX8z1dvC7XZbO63q6Xdbhe/+tWvEBsbS0D/rWAA8Nxzz+Hee++9cuTIkT8fNWrU1LKysvLTp0//PyHEdr8yXKTVaq9zOBzPCCGiy+HNvnaI6KpbbrnlrbFjx7rVanWfIKGjowNXXHFFRPsqKyvr3rVrlyk3N9d6wQUXSIHTu+zatQsjR450JyQk9DlOV1cXjh49iunTp2PHjh0YMWJE2K68+/fvhyd1/oDs3bsXo0eP9rVABRPJOQMowVJqaqowm800ffp0ERMT47tO2e121NbWIjMzU5hMprAVKxUVFRg1SkkmW19fj6SkJBFueory8nLXBRdc8FlPT8/KefPmPdvW1la/adOm5/17nhDRSJ1O93273V4H4I88zvPrjQMw9rVCRP8BsDTU8pSUFPzqV79CVVUVbrnllgEfp7OzE52dnWG7I2zfvh0qlSpsLTcAXH311aiqqkJPT8+Ay6PX67F48eKQy4kI9957r4iPj4+4H/ixY8fkI0eOSFqtFmfOnMGll16Kxx9/PKKMTv4BmFarxe9///t++++vXbsW9957r/P222/X/L//9/+wfft2efHixVJ7e/tTALZnZGT84p133plsMBgwa9asv9tsthsifS/s64mIxi9ZsuRAqAeXzs5OTJ06FXV1dbjhhhuiHgTvb9OmTWErAVpbW3H48OF+g6/Vq1f3qn0fCJfLBSFE0LEeXqdOncL5558f8T5lWcaLL76I0aNHw2w2Izs7Gzt37sTmzZv73dZms+GXv/yl75ytr68PW6MOAA6HQ77wwgutycnJxnfffRdOp1NMnDiRTp069Vl3d/cLWq225P77739kxYoVWLFiBdavX6/meYu+2YhIm52dbb/33nuDtuK43W7R3d1NiYmJmDhxogjs9huNgwcPori4OGRQ4Xa7sW/fPowYMSJsj4zTp0+L+vp6GkwLGKAEYZMnTw65/MSJE7joooui2ueWLVsQExMDq9UKt9uN9PR06PX6iBL8HDlyxFcBXFZWFrabv9fPfvYzvPPOO9i/fz/i4uJw55134u9//3tja2vrLwDIs2bNenHlypXaP/3pT3jggQcuEEKsi+oNsWHFARj7WiGiGwC8jC8mZA7q2WefxUDm5/C3a9cuTJ06dVD7OH36NP7xj3/gpZde8r2Wn58Ph8OBM2ciyzdAREhKSsK4cePC1gIuWbIk7ANoJO6+++6wXQm9/PurExEeeOABTJo0KerjrV69GjExMRBCID8/31pQUGAAgOeee872wgsvfHz06NEXAMRKkqSRZdkG4LQQYlf4vbKvCyKi+fPny1dddVXY9axWK37yk8HlfPCOSxystWvXoqCgwPe7y+USTU1NFGSi15C2b9+O2NhYlJSUiFDJcKqqqoJ2WY7Ggw8+iEOHDkW07tKlS30thAM99po1a5CVlQWz2YzExETr5MmTDQBw9OhR60033XRg3759L9vt9hOSJI2SZXkvgHwA/+Ka9m+OpKSkE7/5zW8Kwq1jNpvx3e9+d1AVJgBw9OhRXxr2gTp+/DhSU1N7jck+ffo0srKyIk6SUVZWBiJCaWlpyFawpqYmFBUVBZvwOWJnzpyRY2Njqb/WL6B3t8PKykrk5+dHdG/2t2/fPrfRaFSVl5cjLS3NPmnSJEmn02ncbrd8xRVX1O/atevDurq6f0iSNEGW5cMARgF4XwjROoC3x4YYB2Dsa4WIngNwO8JPzIxx48bhvffeG9SxqqqqkJeXJ7Ra7YBvEFVVVZg5c6ZcU1Mj7d+/H/n5+ZgxY4bQaDS0Zs0arFy5EhMmTMBLL73UqztgMJIkYfHixUEvwrGxsSItLY2WL18up6amDnjsypNPPonm5uZ+13M6nejs7ERycjImTJiAu+++W8TFxUX9OYUbB1BfXy8+/vhjSkpKQnp6urutrU2qq6ujV1555fPt27f/FEANgAaeQPbri4hGXn/99ZWzZs0Ku15bWxvuvPPOQQ2kdzgc4sSJEzR69OgB7+P06dNyZmamdPr0aZw8eRJqtRqjRo2SU1NTpUOHDqG2thbx8fHo7u5GTk5OyBaurq4uuFwuNDU1IVh5rFar+/Tp06qkpKSgY2oitWPHDvfjjz8uRZIGTqvV4s4773RbLBZVcnLygLpsNTQ0oKenByNGjAi6/E9/+hOSk5MxZcoU5+eff67JzMzEq6++2vTWW2/9XJblzwA0CyEsUR+YDZtx48aJ22+/Pew6LpcLCQkJYbveR2KwY7cApVUuKSkJtbW15DkvRXFxMdXV1eHIkSNQqVSwWq1ISUkJW0HT1taGysrKkOU5fvw4AITtiRKJ8vJyuaSkpN979J49e6DX61FQUCDv2rVLGmjlarh77Lvvvgur1Yri4mK5srJSGjVqFF5//XXnv//97xdramr+COV85aEAXxEOwNjXChF9COBShMmGCCiTpO7cuXNQxzp58mSvmvBoud1uqNVqubi4uN+LrSzL+Nvf/oZXXnkFe/bsQXd3N1QqlS9hhrd2LjMzM+hD6vjx43H99dcPuKxeJ06ccL/44osRzcfS09MDjUaDGTNm4Kc//WnY/umh7N69G1arFTNnzuyT4j/UwGO32+1ev3695b333ot94YUXbhRC/C3a47LhQUTFl19+ecWsWbN6jYUIJMsyLr/8cpGdnT2o2vDq6moUFRUNePv+Brv7O3HiBI4ePYrY2FgkJiYKtVpNbrcbGo0GLpcLO3fuhMlkCjqWrKmpScyZM2dI0kYvW7bMrdFoIjpnZ8+ejVmzZomioiLqb5xnMJs3bwYRYfTo0X0Sf5w+fdqdk5MTtBzl5eVdH330Ueyjjz66v6WlZVLUB2bDZtSoUeLGG2/stzW5p6cHoRLsRGqwAVhdXR3mzZsn/MeDhmKz2bB+/XokJCSgp6dH5Ofnk7cnhxACFRUVOHjwIJYuXSrr9fo+92xPpsMBl9UrWAbEULzdqoNlZY5EW1ub3NnZKTkcjqAJvCoqKsSoUaP6fHZtbW3WVatWGZ555hns3r07TgjRFfXB2aDxPGDs6+a3UAKwsAYTOHk1NTUhLy8v6rk+zGYzenp6UFhYGFHwBSitWytWrEBhYSGeffZZnDx5EomJiXC73TAYDFCr1dBoNGhpaQkagKWmpvZKEz9QVqtVZbPZIkpkIkkS1Go19uzZg3vvvZeeeeaZqI7V0NCAkpISYTQaqb29Xd6/f7+k0WgghIBarUZOTk7QIFulUqkWLVoU+9vf/vYQgDeiOigbblWbN2/GggULwn4v29raYDKZBnWgo0eP9jsOMZQNGzYgMTERs2bNcqOf7s1ehYWFKCwsxLZt21BTU0NdXV1IS0uDLMuIj4/HzJkz0dPTA5vN1qdyorOzk/wziQ6UzWaD0WhUORyOiNbX6XRITk6mxsZGuN3uqLpTWa1WodFoaMaMGeju7haHDh0ii8UCq9XqnbhdFWrMbElJSezq1attra2tV0Z8QPaVOH36dH1jY2NWuADM7XaLrKysQVcgRDNHnr+TJ0/CaDRi0qRJshThDVqv12PJkiX4y1/+gra2Ntq8eTMSEhLQ0dEBg8GAuLg4JCQkYMuWLdIFF1zQa9vW1lY5OTl5wD1LAsvhcrnCZlv08jaATJs2DZs3b45oGhp/hw4dkrzbnD59GjU1NXC5XCAiaDQazJw5M9SUPoYFCxb03HLLLQ9z8PXV4QCMRYSIVAAuBrAWSuvUIgDnALgMgBnAo0KIrUNwKO9s70EvHEajEQkJCXj55ZfDTdockenTp6OxsVFOT0+Paj86nQ4zZsxAqFS+4fznP/8BEDqAVKvVcLlcfbKrbdmyBWPGjBG5ubmDuimOGTOm38mmvSRJgs1mEzExMXT69Glxxx130G233YbExESRlpZG4e6LTqcTjY2NyMjIIABISEiQgtQKhnwv+/fv71y/fv0veND/wBHRuQDqPD9FOp3uFrvdXidJ0jOyLF8E4LPBzgMlhBDJyckhv1Otra1wu91YtGiRHB8fP6jzdcyYMVG1YPmLj4/3dsmL7Mvv8cknnyA/Pz/kg6QkSXJDQ4MUeD6PHDkSBw8exIIFC6Iuqz+9Xo/x48dj9+7dEa1/4sQJ33bHjx/H8ePHvUkOwrZQAsCOHTvIe46aTCaKNrPriy++uFIIURXVRsyHiFIAjBNCbCQiE4D/AdAG4C9QuuWvFELUDvY4Vqv1Rb1e/0iwZXa7XbS1tVFsbCwNpEVmqDidTsyePRuI8h5fU1OD1tZWxMXF+eYnDKxsbGtr81Yo+F5LSkqSjh8/HnYamEiNGDECNpuNIqlw8h+PNnnyZGzYsAEZGRnIy8sLm7ERUN6rf+KOnJyciOY483r66afJYrH8MeIN2JDjAIz1QkQJQoj2gNeSoYzH8TbNWAEYAjZdjKGZqX1kuIULFizAU089BQwg+HruuefgdDqxfv16JCcno6enB2+99VbU+9HpdNi2bVvIlNj+6uvrceDAAWi1WlitVqSnp6O6ujrk+vHx8d4bSK8atPPOOw+5ubmDrqF78803Icty2O6dXhaLBYmJiQQAsizT6dOn8ctf/tKbeAE/+tGPQm6r0WhgMBjkzZs3S7Nnz4Ysy2FTdgf6+OOP9QA2RbzBWYqIYgFYhRAu/9cNBsPG888/f25rayva29u7J02aZEpLS4PJZMKWLVtw9OjRNZ2dnYUATg62DOFq0l0uF+69914E6/LTn7KyMnnjxo1Sc3MzampqIITAww8/PKAydndHNnWOy+VCWVkZnE4niAjTpk1DZWVlyOyjBoNBSkpKQmNjY6+pHY4fPz7osSQAsGnTJnn37t0Rt7L7Z4b1lqe7uxuVlZU0Z86csJUv48aNkzds2CB5ux9Gc76eOnXKUl5eviriDc5SRKQGoA+cy4mIbgXwvOf/wTb9E5QK0H57h/RHkqTvh8o6aLPZaMKECQPKEOpwONz79+9X6XQ6OJ1OuN1uOByOkOMJw0lJSUF3d3dEreb79u1De3s7dDodUlNT0V9rcWJiIj7++GMsWrRIaDQaApQxnQNJMhXIYrG4Dx06pIpkPFd9fX2vaXBMJpOvcslms6G8vDxsl8jMzEx57969kslkwujRo6M6XwFgx44du4QQtqg2YkOKAzAGQJmjCcBUAJuJ6GcAngKgFULYAWTii+BLRt/gCwBqiChmCAZg3wEgaDehESNG4K677grZ8mW327Fu3TqxZMmSXncwi8Ui7r33XlqzZo0v8KiqqkJ8fDx2796N3NxcodPpRFJSUkQPOgcPHkRraytmzZoVtvvi7t27hUqlEkVFRb6VXC4Xtm3bFnb/SUlJ6OjoICJCXFwcSkpKsGjRokiKFlZHR4fYu3cv6XS6iALlUBM6CyEiakUbNWqU1NjYiK1bt/paEILNuxbotddew5///OffCSE6Iinn2YiIJAD6tLS0qvb29k4AxUSk995Qc3Nzz7388sshhJAlSTIByvlBRFiyZAnOnDmDzs7OqFqDQpRj5rXXXht0WXNzMxYuXBi2u+vGjRvlKVOmSN7aaq/XXnsNb7/9NvknpHG5XO59+/apcnJy0NDQ4JtDJxJpaWm+1qBQWlpa3PX19TR79mzf+SqEQEtLC+Lj40NuFxcXByGEbzB8bW0tJkyYMOgWegB4+umnI+2BBavVGnKZy+XydmcMuU5KSoo0YsQIWCwWnDlzBtXV1RGNZTl58qTj8ssvrwTwTkQFPUt5WrWeB3A9ESVCqch0e1r5C/xWDVVB9vYQlEFbUlKSGywAczgc0Ol0YYOvtrY24Xa7kZKS0qt8zc3NOHXqlCqw1Wznzp1obVUS7nknSY9EZWUlOjs7w973ZFkWmzZtosAW8cBrSTBarRb/+te/6Hvf+x7sdrvb7XarMjIyIi5fKHv27FFF2kKfnp6Otra2oJPLazSasFNcAIBWq5XOPfdc7NmzB/v370dPTw8mTJgQNqU/ADidTvett95q37Jly30RFZR9aTgAO8sQkQHARABX44tsg1UA/Kta7gHwv571jwHw7/8S+DTgzeKSD2AFgD8PsogHAfQAiAt4Xb700kulnJycXsc/ceIEbrnlFmi1WlRXVwu3203PP/88Tp8+jdLSUowfPx7vvvsutbe3AwE3tY6ODvzXf/0XANDFF19Mzz77bL+Fa29vl48ePSplZGTg4MGDYTONqdVqGAyGXuX9/PPP+z0GoLSEdXZ2wmq1DknyDUDpeuF2u2W1Wh3RE124BD0bNmzAxIkTkZubK/Ly8kIGdNOmTZO1Wq0kSZKve1Q4R48e7V6xYsXvhRAPRlLGswERTQWQm5ub+2JxcXHq+vXr11x22WUX5ebmYuTIkVi/fn2aVqv99L//+7/PX7ZsWfvHH3+8qri4WAdA+D+963Q634S/N998M15++eV/ARhsP6MTZrM56AKNRhN02oSbbroJWq0W9fX10Gg0EqB0OYqJicH555+Pzz//HB0dHQjMTqpWq1XvvPMO3n77bbhcLvz73/+OKE32pk2bMHnyZLF7924KF4AdOXJEFTgGo729HZEkDomPj0dxcTF27dqF4uJiZGdnDzr4kmV50GnAvbKzs7Fx40aMGTMGhYWFIdfLzc1Fd3e3MJlMlJubi8rKyn67ZV1yySUVR44cmSmECB0BnkWIKB9APJSAaSSAXQACM1G8D2ABAEFEHwMoBmABEIO+wZeAUin5NyJ6d5CVnK729vYdQcqDtra2oF1m9+7dC6fTCZ1OhxEjRsDtdtOuXbug0+l8rVxFRUVi8uTJfb6s3oDMarX2mlsynKqqKpGcnAy9Xk/BuuN77dmzp0/wBSj39bS0tH6Pk5mZib///e8YN26cKlQlUrSiOV+FEJDl4Al+VSoVLBYLKisrkZeXF3buzuLiYl/QGUkX7V/+8peql19+eYoQ4ljEhWVfCg7AzhJEpAVwPZQ5tgIFtnP7jxwf7flxAghWJeO94rgAPEVE7wsh+kyA5RlDpvFv8vakVjYAyBZCVHpebgYQbDIM6bnnnpPfeecdSZIkXHfddaisrMT7778vu91u78MOAcoM84CSgWnHjh1BdtXX2rVr5eeff55uvfXWPhmf/fuLf/TRR5I3EcCJEydCBmAul0u0tLRQYJ/s8847T66srIzo4cxoNCI1NbXfmrBIdXV1CZfLJUXSVUGW5bA1iS6XC0899RTUajXl5eXhmmuuCZrFyb/rWW1tbdiHPwC455572gA83m8BzwJEND8uLm7VLbfcEpObm4sLL7wQNptN3HLLLReVlpb6Aunc3FzExsae75lnK2HevHnXnzhxAn2+yPCdc0hNTcXUqVOnENH1QoigiU6CtWh7ulCNAFDtGT9mDhWox8bGikceeYSEECguLkZMTAxefvllX7cf/++1RqOB0+nE6tWrvccJ97lArVaL22+/nX73u9+JcHPuHDt2TMydO5cAULhWLCB4i29iYiLKysoiyrwYGxsLvV6PvLy8iLr4RkKn0/XbpcorXBklScLIkSNht9vx6aefwu12h5x01vt51tXViaKiorDv45VXXrEeOXLkBxx8AUSUB+B+AD8IWBQsDaA30iEA/U3YRlCe1WwA/kFElwebd42IYqB0RxZ+r6kBJAOQhRBmIYScm5vbLMtyn8yC6enpWL9+va+Hw6RJk2CxWDB+/HhZp9P57rEmkylYcpmw3xODwYDq6moQkZySkhL2/mc0GpGZmentGii83eCD7bOrq6vPfaq/FiB/MTExg06U40+tVsPhcEQ0tc2BAwcwadKkkOt5s6ueOXNGHD9+nKZMmRJ0XJj/+09NTQ177WloaLC+/vrrL3Dw9fXAaejPAp4bQ80gdhHpA4ULwHohhO/OTkSzADwAYDaAWABJUFq4jLGxseU5OTlpLS0taGxsJM/6egCboST4GJrq3yisWLEC9933Rcv8pk2bUFNT48sqBEAkJycToNwAbrrpppD7stls2LhxI3Jzc321eM3NzXjiiSci6sJnt9vxwx/+cEB96EOpqanBM888E7ZGDVDmXHK5XNTfQGAvSZLEnDlz6Hvf+17IG1p/WZ5uvfXW9hdffHGOEOJwRAf9liIiKioq2rJixYpZBQUFKC4uhslkCjlJp81mg8PhgNFohEqlwtq1ayPK7CmEEG+//TZt3LjRl4aYiFJUKtWjer1+1IgRI+YfOHBgKYCPAWgTEhIeX758+Z0qlQovvfTS+UKI9Z5t7r3nnnsezMvLC9Y12WfNmjURJ4CJlCRJeOedL3q+VVZW+iZAl2UZWq0W3jnKqqqqRFpamoiLiwv54WzcuBEzZszodX68//77GDduXETlqa+vH1CSkFCEELj22msjCsLy8/Nx2223RbzvmpoajBw5Enl5eUH/LlVVVYiJiQmZSfHjjz+2XX311Xd1dXW9EPFBv6WI6AYArw1w82i6qwoA3xVCvOV37B9BGRt2AYB/Qqlo1QE4Jysra0tSUhKqqqo+sFqtl3vWL1m4cOGhK664QhWYjMJfT08PLrjggkHN3RfIM/2KMBgMvrFX5eXlMBqNvnGakyZNkrVarQQoLWfhepkcOnQICQkJyMzM9H2HX375ZdhskQ1tam5uxoMPDm1ni0hTyu/atQtTp06NeL9NTU2oqanBuHHjggZibrdb7NmzJ2TylJ6eHvuUKVM2V1RULPUMLWFfMW4B+5YhovEADgB4QwjxPc/LDw12txGupwawkIiyhBD1RHQZgFcBJPit05qVlQW1Wo2xY8fCYDBg3bp15URUCGWc2SwoAdqwB1+A0pWourpafP7556TRaJCUlBSY+tpXrlDdB7z0ej3mzJkjOjs76cCBAzAYDCgrK4v4IVSn0+Evf/kLnnjiiZDrtLa2uk+ePKlqbGyE0+nEggUL5NjY2D4385qaGrS3t2PHjh2+7iThaLVaCjemJJAsy7Rp0yZs3boVo0aNwuzZs5GamooJEyb4ak/Dve/29nbra6+99ruzLfgiIkNqamq5wWDIq62tNXhaiKffeeeds0K1UATS6/W9xlnNnz9ffPzxx9TfgxMRUUlJiX3Tpk1XAXiZiIpSUlJev+2222aaTCZUVFTAbrevdLlcHcuWLYuPj4/Hddddh6effhoAbEQ0CkAegLFPP/204fzzz8dFF10UMlC86KKL8OGHHw7pA523FW3Dhg2Ii4vD6NGjQ3aZ0+v11F9q6Hnz5uHMmTM4ceIEZFmGwWCIKpW7d2qJcN/1AwcOoLW1FZIkwWAwBH1Ya2trk81ms7Rq1SrYbLaIAmpv4Bmp/Px8OJ1OfPbZZyAiGI1GjBo1SiQlJREAZGdnh02l/cc//rHmbAy+iOheKK30S4UQ3sQjAw2+gOjGCsoAbiGit6Hcbx8G8Au/5dcCuHj06NGJdrtdTJo0CT09PV2HDh06RkQFAFIBXLV+/frqlpaW4mXLloWc2sFoNGLdunW49NJB5/3wsdvtMBqNtHfvXsiyjLy8PDFt2rTA75jv8wg1DtmrtLQUjY2NKC8vR0tLC2RZRl1dXcTp71NSUvDWW2/h6quvDrlORUWFaGpqIrfbDSFEyAqWM2fOoKmpCW1tbREdOzc3N6pxomlpaUhLS8PJkydx8uRJaDQaFBQUIDs7GwCgUqko3DPJa6+9JlVUVHyfg6+vDw7Avn1mef5tJSKDp2vIzYPcZzRdagSAOiJ6HsqYsD614g6HAxMnTkRDQwMKCgowe/bs3KampkNardZtMBgMW7duVdvt9ojn6xlKf/7zn6HT6Sg/P7/fdW02G5xOp69LVTBGo5E8XSoAoN8EHIFSUlLQ2toadADzoUOHcPz4cZXRaPQN2m1tbQ3adfDAgQNYv349dDodXC5Xn+XBOJ3RZyh3u904evQojh49CgBYsmSJ9P3vfx82m81X6xmMRqORbDbbYBO4fBPFJCQk5HlaOOKhBDZXDnT+HEAJnkMFQYEmTJigu+KKK14iouumTp064cYbb0zxPuxPmTIFaWlpcDqd8QsXLsTGjRvhdDrFj370I+eECRPWyLKM9PR0cezYsdjm5mYUFRVFNGHqUOrp6ZEfeeQR6aGH+q9jyszMhNls7je9c2Zmpu983blzJ2JjYyO+/tXV1SEnJyfoA2BPT4/Ys2cP+bcCb9iwIeh+jhw5Ij399NP+SUD67dbU1dXVb6KRYPLy8nz/3717N82dOxc6na5XWvpgtFptZH0jv33u8fzr8CTD6X/AUWQi+Z6poHRfrAZQD2BKkH0keioPqaenByaTKXb+/Pm3dXd336HX651GozFu/PjxSElJcRiNxrAXiqEag+iVnJyMbdu2Yfr06d5KirAHaGlp6Xef6enpvoyf7e3t2LdvX1RlKioqgtPpDNrVf+PGjSgpKfFNZnz8+PGgQVNPT49cUVEhzZs3DydOnBCtra3UX9KRpKQk6fDhwxG3rnsVFBT4prFpbm72ZUusrq4WEyZMEMHKBwA6nc4NgIOvr5EhmXiOfX0IIV4UQhCAfwC4pb/1IxTNVdh7FbsNwbMlorm5GRs3bsSJEyfQ1dUFvV5vzMvLi8nIyIiNj49Xex5eIgm+hrz/rNPpjPgCTkR47bXXyGKxRFQOb3ASDbPZjCeeeKJPGu3q6mpUV1f3aU04depU0HN679690Gg0MqBkbfPWFoZit9vd0fSlD+Xjjz/G888/j+PHj9PkyZNDrrdlyxZASQZzVhFCtFRUVNDJkyfJYDD8hohMsbGx48aPH9/nj+N0OiOqXfWmgI7U3Llz5auvvvr8G2+8MTkwgMrJyUFhYSEqKytFd3c3du/eTRqNRnvBBReYLrzwQtPEiRNjzzvvPDFq1Cio1eqwc8O5XC7fd3CoqNVq6dChQxGtq1Kp0NbWhsrKyv5X9jCbzYhkQlWvwsJCsX37duzZs6fX6xaLRezdu5cCu+B6J20N3M+xY8dgtyvPSsnJycJqtVJXV/j5UufMmTPo7sr5+fn429/+hrVr14bNgNjT02MvLy8/K8eRCCESPffYEgAz0XcM9UBF+j0jKFkTpwMITDFKgFI5d+DAAd946MTExLjc3FxDampqXExMDCRJQmxsrLa/ltXBTp4ezOjRo2GxRFbXlp2djc2bN0e875qampAt8KFs3LgRb775Zp/Xt27ditmzZwv/eUJNJpM4depUn/PVZrOJuDglb1hhYSE5HA7vPS2k7du3Rx18BUpJSYEsy1i7di3i4+NFYNIvf1u3bnUAiGw+DjYsOAD79ioTQjwT8Npgaj+G9MHJYrGgvb09aOrk4uJi37HUajUuuugi5OTk+GdD8i4PFfj4vx51uT/55BP3+++/H9G6DocD7777btimf6/W1taI5yPystlsuOCCC7Bu3Trfa1arFeXl5UFr8m02G1auXImdO3di69at+PTTT/G3v/0NXV1d8GbEkyQJycnJcDgc3syIfT5HnU6nam9vh2dAd6SBbuB67ry8PDQ1NfV7o/G8v48jPM63ktVq/W8hRLfVal1ssVik6urqnvb2dtcrr7yCRx55BI2NjWHn3PKy2WxRfedVKpU0b948hMt3rlarqaioCM3NzX2WZWRkUGNjIwBljEdCQgK0Wi3q6urQ0NAgamtrZavVilWrVsE7tiOQ0+lER0cHrFZr1Oery+USN9xwQ0TrjhkzBl1dXairq4voOx3tmDWVSkXecVVVVV/UJ+zdu5eCzRs4Y8YMHD58GFu3bsXu3buxYcMGvPzyyzh06JDvQVKSJIqPj4fRaITZbIbD4Qha9q1bt6KlpQUnTpyI6DMMHFfmdDrFww8/jA8//BDnnHNO2G2PHz9uLy8vD5bQ6WzyRyHEVihJaQBlDPSQ3if7EbYHU09PT8huqadPnwbwxbQon376KXbs2IEDBw4Is9ksNzY2CqfTGbK7ndPpxIMPPoiPP47+kp2UlIT6+nqYzeZ+Pyu1Wg2NRiP6C2a8amoGNtT9uuuuw6ZNX0w76Wml69MFNz09XRUTEyNv3LgRBw4cwIYNG1BWVobKykpVfn6+77zMyMjAnDlzUFZWhuPHj4tg99jzzjsP+/btQ21tbUTfmWD7KCsrg8lkQnx8PJKTk8M+z2/btu3jwPnn2FeLuyB+SwVkSboDwFgAywBkD3CXQ961KCYmRgTOJwIoTfMzZ85EVVUVZs+e7ZsQdffu3aitrfVvYg91wSF80Z0j2Dphu3oIIVSfffYZLrvssojGXnR2doZN2e5VVVXV77gxf7Iso7i42Dc+Y82aNbIsy8LhcKjCjaPR6/Xo6FCm0Dp48CAaGxuDPkh6xw45HA7q6uryZY8SQkCr1WLChAkoKSmhzZs3h+2OKIQQMTExpNFoqKOjA0QESZJQWlpKaWlpQR/aA+3du3evEGI4H16+drznrCzLsy677LKbzWazPGPGjP8+cOAASktL8fTTT+Pqq6/GjBkzwu5HpVJF1QIWKb1eH3S8CBHhuuuuwz//+U/MnTsX3syf48aNE48//jgREQ4dOiQcDgcREdxuN4jIl3q+u7sb8fHxiI+PR0dHh2Qw9G44955bobpDERF1dXVh1apVuOSSS/p9H1OmTEFZWRl5x06EE21X0AMHDuCKK64AESE2NlZ0dnaKqqoqKi0tlRGiVX/ixIm9xpU+9dRTQbs1S5LkTeNNZrMZycnJsjdobmtrg8vlwmOPPSaISHryySf7HEeWZd/1bN++fXj11Vdxzz33ICMjA5s3b8batWvJ5XJBkqSQmee81q5dawSwNfJP5tvH7x77DoDJUOb1+ulXV6K+cnNzg75utVqxYcMGCCF814rOzk784x//IJfLJYQQuPnmmzF16lQcO3YMo0ePxssvv4xVq1aJ8ePH0/79+9Ha2ir0ej0Fm3Dc5XKFHT84evRo7NixQ4okLX1SUhJF2modyb3Gn9lsxi233AJJkjBr1ixhtVpRX18vJyQkSKGGFiQnJ6v8W4c3bdrknW6jz/rnnnsuANDu3buRmZkpZ2VlSYASKNbX1yM3NxdpaWmS1WpF4HXPX1dXFyorKyk2NhYFBQXo6OhAeXk5ZsyYIdRqNbW0tIR9pmlsbOwuLy9fG+HHwoYJB2BnASHEHwCAiG4dxG6GPACTJClkgJORkYHAiRF7enqiKYf/elGnhY5mVnkiwocffoilS5eG7f4Q7UOx1WpFSckXvVtUKpWkUqmiSkvvcrl6pdEPRqvVQpIkYbFYKD09Hbm5ub7EA7IsQ6VSweFwgIgghIBGo0FOTg46OzshyzIKCwtFYmIiSZIEt9vtu7HAE/xGMo4gKysrr9+VzhIul2sbgG0mk+lPl156Ke644w6YzWZUVlbiyJEjSE9PD5vOPyYmJqKpBgbCYDAEHQPhDcL8VVdXy2q1WgWAVCqVb24bnU7X6zzxTwjjHfOUnJwMt9stWltbKS4uTsiy7A30g14wiAiBUz6EI0kSenp6oNVqw47hVKlUEV87ZFnG5MmTfd93nU5HOp2OpkyZAkQ4nrW6uhqyLPd7vNTUVDQ1NUkqlQqSJCE+Pt57LSUhBKqrq31p6d9++20cPXoUXV1dSExMhNlsFhqNhvR6PZ555hnY7XaoVCrf5yCEgNVqDZsspaioyAVl7seDkbyvbzPPhPE/9GT8/VoFYOGuA8HGArtcLlkIIQFKNsF9+/bh8OHDvnMXgK+1GwB98sknbq1Wq/rpT5W3ffToURgMBmRkZGDfvn1hs/xFM74sPT1dPnbsmFRYWBj2HhttVu/4+Hjfc4ZarSa1Wo0RI0ZE1ewdyfs455xzcOjQIam+vh4OhwMjR47EzJkzAQDl5eWwWCzwXCdw9OhRtLW1wWQyobW1FXq9HuPGjRMTJ04EEVF7ezu6urrgaVH3nrNhC5GYmGiIjY3tfy4NNqw4ADu7XAdlbBigdJf4Sv/+cXFxUQVFycnJEQ3KDSLwON7fQz5ceWoGI04q0NDQgBdffBHLli3zDZANVFBQ4JvvKBKeOUX6zVgYzuTJk7Fu3Tq4XC5ZpVKFbM5TqVQ0d+7cPnOoSJKEOXPmYMuWLVCpVDCZTL75SfxX89tPn1rXmJgY+eGHH5aWL1+OkpISt16v73WDq6mp6V63bt2HA3yL31o9PT33ffLJJ/9z7rnnwuVyyf/93/8tXC6XqrOzEw0NDX0qKPwZjcaIk61EyuFwIDExMeJu61OnTlW99dZbvtZXlUoVdm45QJnDp6mpCR0dHXC73eRt8QGA5ubmkNMiCCHQ1dUVcbA0bdo0tLW1iZ07dwadzNWrqamJ+pu7zsvtdqOlpWVQ47BGjhyJ66+/Hm+88Ua/5723K3EgIsKLL76IwsJCNDY2orOzExqNBiqVCp2dndDpdOS/rieDpu81tVqNa6+9FosXL8aVV17pTk1N7fNA+qc//akOwKkBv9Fvp20AduKLyc0dCD6n5bDxjkuKlMFgkPzHZwWOZQxUX1+v+vjjj7FkyRJYLBZMmjTJ2/JFBoOhv54mEZcrLi5OcrlcYv369bRgwYKQ50Zqaqqve2UkPJW6gzJlyhRRVlZGntaukOx2e9CAtKSkBGazGTt37oTFYkFCQoJv6gw/vs8xKSmpT1KumJgY8emnn1JBQYE8cuTIPtfoF154QbZYLJ9E8bbYMOAxYGcXb4rv0QCuwVc0IDM2NhaFhYUh00WHEk33vUGQY2JicMstt4StGQ9GpVLhk0+CX+NaW1vxq1/9KmzwRUSIi4tDTEwM0tPTce6556K2thYNDQ2DSjZy/vnnIyEhQQo22N//2Lt378bWrcF7Fc2ZMwczZ84MFnz1y2AwSN6JPXft2qUKHPe3fft2qqurezrqHX/LCSE6q6ur3c8+++xvf/e7342dP3/+Trfb7UhPTw8bfAHwdUEdCi6XCzabDTqdLqIxaF6dnZ0CUY6JaW5uRlpaGuLj4/s8ZAR7YBNCwG63Y+bMmZgzZ05U52tiYiJNnjw55HVl1apVCJcN9dSpU2LXrl0oKyvDzp07UVFRgYaGBqxcuTKaYvRx3XXX4Z577ul37i+tVouenp6gY0OICCdPnoTVao16InciIiGE/L3vfQ8Oh0MVOI7Ibre7Nm3a9FchRHtUO/6W83RJ3AagE4AJwDNfVVlyc3NRVFSEtLS0qO4d0d5j586di7Vr12Ls2LGYOnVqr4Q1Op0u6LHNZrPYuXMnzjnnnKjK5h2Hun///qDLt23bhtra2pDbu91uV09Pj+8erNVqcc455+Cdd95BT0/PgB8ujEYjjR8/Xt64cWPY9dLT0+Wamhrs27evz/tOTU3FtGnTMG/evLDznoVSUlJCSUlJGDlypFRWVtZn+eeff17jcrnCF5ANO24BO0sQkQ7KjeE7AOZBGTgsAwiZ7l2SJDk5ORmZmZmSLMuor69HZ2encLlcBCjpmtPS0nDw4MGIL9wTJkxAbm5u1JmKgNApYMPor0a8z7Jp06ZJK1asCLosEt6HHbvdjn/9618oLCxEa2srduzY0V//dHH++ef3OWZKSgo6Ojqos7Mz6tpMf9OnT8e///1vCtclxdv1aOPGjZg0aZIcHx8/ZBU0c+bMkQFIc+bMQU9Pj7xhwwbJ2/Lwj3/8oxlKWmXmQUQqKPPnLQMQR0TXtLS0yPv375dnz54dcruqqir3jh07VJ2dnQCUFONqtRqSJKGzsxNmsxkmk8mXtrk/PT09mDVrFiIZqxHo2WefJZVKNWRdf00mk2hubib/ib5lWcbKlSsHnC7bYrGI+Ph4stvtOHjwILq7uyFJEqxWKwoLC8OOAZVlmUJ1sVq3bh3OP//8AZUJUB5sV65c2SuRRyDv9aCjo4PcbnfQqSoGKiUlRYqNjfW1WJaVlaGgoMCdnp6ueuONN9wul2twUea3EBHFQJkIeROULMCR3OSC3dOi7jLvVwZccMEFMBgMwnPuRbyfU6dOuW02W1Td7/wnQA6Un5+PHTt2ID8/X6SnpxMA2O12IUmSd7LgAb3HmJgYuN1uNDU1YdWqVSgoKIAQAvv37+9vign1ZZddFnTB6tWrpe985zsDvo7ExMRII0aMgMPhCPlsk5OTIwGA0WgUGzZsCNvyHq0zZ864p0yZogKUcWfV1dVyS0uLNG3aNJjNZstnn332Vn/7YMOPA7BvMSL6PpRWrmVQuh96WaGkrw17tRk3bpw0cuRI3++5ublCo9HQmTNnoNVqkZiY6NZoNKqEhAR0d3fj2LFjcnd3t+9motFo5MTERKmrq8tltVrVSUlJ/T7U9PN+ou3jHcmNzH8d94kTJwY199iJEyfwhz/8AZIkwZN8AABw6tSpsGOxhBDkdrtFsAdWz+TQgwrAiCjijG5OpxN79+6Vpk2bJhuNxkEHYWazWdx2222+/RiNRmn27Nni4MGDZLfb3StXrrznbE/AAQBENEGn061wOp2bL7vssvfGjh2LwsJCZGRkuIuKirBv3z7V5MmTQ/Yr3LFjBzo7O1XeCTudTqdblmVVfX09nE4nkpKS5BEjRkgtLS04deoUiEhkZGR4x2lBCCEaGxvJ5XKJnJwcApSuegMJvgBE3fICAEajMWQli8FgIIPBgObmZl8XJIPBALvd3msi6iiPh7KyMowbN65X96DOzk4cP348bEAYbqJyo9EompqakJaWNuCxs5MnTw4bgHnFx8eju7sb7e3tfboQD4Qsy+JnP/tZr/mEzj33XGzYsEGVnp6OJ598cr0Q4qwf+0XKxfw1AL8CEJglwtv9sL9Kw0iCL/99BFaY9lp/3Lhx3tTxUX/vQrVYhTN27NiQyzQajTR9+nTs37+fvBl3J0yYQBUVFVEnt/H30Ucf4bPPPvPdY72p9hsbG8OOjQ3X+2T8+PFYt24dLrjgggGXKycnBy0tLXJ/2QhTUlKkGTNmuDds2KAaqiCssrJS5Z8gqaioSOru7obZbMb//u//qpqamn43JAdiQ4q7IH67fQLgLfSdX8mACC7QgV1P9Ho9qVQq5OTkIC0tDRqNRgUofZLz8vKwaNEiqbCw0JdyPDMzU5o9ezYmTZqkHjFiBKZMmTLg4AtQLuhRbhLJ+v6fg6qlpWVQGeQ6OzuhUqn6BFozZ85EuKxrBoMB0bYWRCvK5B1yJMkAIkGKwLJQbm6u+/XXX1fJsvyfoTjOt8BJu93+iCRJp2pra102mw1JSUkoLi5WaTQa1bRp06AOExFMmjSpV1cajUaj0ul0vrm8vC2aycnJyM3NRU5ODp04cUJVWVmJtrY2t8ViQXJyMtLS0lBdXQ2LxeJLxjIQ/i1VkfBM0dDvQ2BKSgpiY2NBRCAirFq1aoAlBOrq6ujcc8/tM99RXFwcCgoKQqarP3PmjCgoKAhZVo1GQ+EmHo9ETk5OxA/EJpMp6gQEobjdbuTl5fUp+9y5c/Hhhx/i6NGjq4fkQN9wni6HvwDQACBwTjRvM0i096xg3xn/fQTWovnWj42NRVFR0YC/BHFxcVGV1WAwiEgyiU6cOBG5ubkYO3YsTpw4EfEcYKF4Kir73GM98xUG3UaW5X7LOhSTTre1tUW0E71er1KpVEM2rCLYfG0TJkxAd3c3Pvroo3JPohj2NcMB2LeYEKJGCCELIR6C8rdeCuBtALZItm9ubkakkwx7TZo0CSaTCSaTCWPGjBGAktFwwoQJsNvtsFqtA45uvoxJIQMJIfDCCy/AYrFEfWVsa2sLm0o2UE9Pjy9LoTcjUihJSUmoqanBqVMDH/fundg1ElqtVoqNjR2SAKykpCTodyghIUGlVqtdiPD7+G0nhOgUQnQ4nc5de/bs0fz+978fd+WVVz7+8MMPd4sInq61Wi38W6AjUVxcDE9mMVVjYyNpNBpotVoqKipCe3s7tm/fPuD3M2nSpIjPdavVKoxGo69SJxImkwmyLIu33noLW7duHdCDZ1NTU8hlsizD7Xb7zoGamhp0d3ejoqICQgjS6/Uhzw+32y2vWbMGmzZtGnBgdODAgYjPP4fDMagWcn8Gg4FMJlPQNPhFRUUdAE4MyYG+BYQQp4UQ3UKIEgDxAH4CJTNk6ObR3oZsvghvqvKBft/0er1ERBGX57XXXuszsXg4arUa6enpcnJycshxXP3ZsGFDryQy4fT09KC5uRnt7e2CiGjy5Mkh1/WOJT18+HBUE7X7c7vdYStZA+n1+kFVSHs1NTXJI0eODPp3KywshNvtHtgbYl86DsDOEkKxSghxNYCXoGRB7Nf27dvF9u3bRVdXFxwOR0RBSVpamliwYIEcExPju1A6nU4RbQr1QAPtChUtnU6H+vp6KdoLcUtLS8hU2LIso6GhAYmJidDpdFCr1Zg+fTomTJggL1q0CA0NDWH3nZCQgNzcXJhMJjQ3N0ccHAohsH37dnz44YeQJCniOzMRRT1pdDCtra246qqrQt4wb731VntKSsoDgz7Qt5AQ4ogQ4hdvvvnmhR999FGvz9Db7SbQ/PnzXQaDQa6vr4+4plmtVsPtdgtv2nIvbzrpgSopKZGcTmdE31WdTkculyvqSg+NRkN2ux0NDQ3073//O6oMaGfOnMH06dNDnhNHjx6FEAInT57EwYMHMX78eDidTixduhRTp05FfX19yH0nJCRI48ePR1xcHP7zn+gaePfv34/LLrsMq1dH3tBks9mG5HwVQuC2224L+RA+ZswY08KFC5/s06TNvBUoT0PJghhpej0VeieqGXCTiFarDTt1QCRiYmIirgAZSKASExMjJSYmorKyEi+99BLef//9qLY/ffp0yO7G7e3tvuQznlZ9OJ1OX2v5+vXrQ+6XiDBy5EioVCocOnQoqkoTu90uNm7ciLKyMkTa6t3V1SXCdWGOxpEjR6S4uLiQf7ebb755CRGF7ivKvjI8Buzs9ByA20Ms69WnvKOjQ+ro6IDZbBZ5eXlSJBl6vGloe+1UCCHLMnV3d6sGOk4hPj5+wIOTI6XX63HxxRcjJycHHR0doqqqivzHwfnr6ekR9fX15O2LnpeXF7J8kiRh4cKFQRcBQHZ2Nmpra5GXF3o6LEmS4Ll5SZF27xJCwGazeW/MEX92drsd27Ztw5QpU0RycjIBgM1mcx86dEiVn58vp6am9lt543K5xIoVKxDuYa2wsNCQmZkZfdqns4gQYtvMmTN9kwyfOHECBQUFsFgs7o6Ojl59/7Ozs9XZ2dmYMmWKu7W1VXX06NGIjhFsSgibzYa9e/ciKytL1mq1UVfWxcbGkizL/T7JtLe3A1CClmiP4Xa7xcKFC2n8+PHo7u4W+/btI5fLJQoKCoJ+5z7//HNvyxby8/PDPjB55tnpxRuQmkwmdHV1hS0bESEmJgbJycmyEEKKJGYRQngf/qLKwhoXFwdZlvskKfGm2Y70wXzSpElYsGBByIc5tVqtmjBhQsH69evVACKbT+MsI4SwE9E+AJEOKJJC/D8qLpcLx48fh8FgcKekpAxoLLNOp+s3NXtSUpL7gQceUM2YMSNkAq9w1q1b50tvb7PZRHt7O910001B1y0rK0NjYyNsNhscDkfYCqGEhIRQYyAJUO7XnZ2dIlxXS0mSMG7cOOzevTvsHGa9dk5EJpMJ55xzTkTrA8q1ce7cuSgrK4N/+vry8nK5oaFBinRs2M6dO72TQIc0f/58AaAIwJGIC8iGBQdgZ6dwM5YGvem73W4aTJYtrVYrJScnQ5Zl9PT0uI1GY8QXbiEENmzYMOi+45Gw2WzQaDQyACk+Pp7i4uJQWVnZK2W+N/CKj4+ngFT6gwoOk5KSwmZR8vIM9u13IPOrr76KnTt3Ii4uTmRlZdGYMWOiKg8Rob6+njQaDcxmM+rq6lQOhwN2u10yGo04efKksFqtNH78eFmr1Up1dXUiOzvb9xl0dnYKb+anUA4dOmQ5ePDg36Mq2FmGiIzeG7LNZsOzzz4Ls9mMyZMnq8rKyvCvf/2rT4IVg8GgOnjwYFQTigfyBnbvvfee9N3vfjeqbV9//XXs378farW63wCMiBAfHz+gMkqSRN7WY5PJRKNGjcLBgwcpKytLaLVa7/xhstlslhwOB2bMmDEk3X4AYNmyZfjwww/R33mVmpoqrVy5EkuXLg07zmTv3r144IEHAEB0dnZSTExMf1ndepEkiYgIFovFV4N/2WWXoaqqCseOHYPL5RJarZZcLpcwGAxksVhkTzco3weyZMmSfiu5Vq9evUoIwcFXeG3oPwFHMAOuZJRlGW1tbfj8889Vy5Yti2pMU0tLi7xr1y7JZrP1W2ar1SqNGTNGJCUlDSjIS0tL8/1fr9fTwYMH5c2bN0ve7ow2m03u7u6WPvroIyQmJsoxMTFSNOdBKAaDgTZu3EjLli3rd93Tp09jzJgx/VZc7NmzBykpKbLdbpcCg6lITJkyRVRXV5PRaMSZM2eQlZWFkpIS7Nu3DzExMWhoaIBWq8WMGTPQ2trqttvtyMzM9H3uPT09/V7P/vnPf+oAfBRVwdiw4ADs7GQB0ALA+wS/AMAuKN0SPwVwLvy+GxkZGcjKygrZvS5KAlHWmjU0NMjt7e0SIrsxDahWzo/wHxhLRCgqKkJlZSViYmJgs9kQHx9PRNTrRjIUTCYT2tvb+21tMBgMMJvNSE5O9k4YjdOnTyMhIQGrV6/GiRMnIMsyzGazAECdnZ1ktVpdQgh1uKxVwTQ0NODkyZPQ6/W+G7rVasXWrVuFt2Vr+/btkmf8EbW2tvrmCnO5XP0+fHz22WcxUCYvZaE5GxoaDt1zzz2liYmJ2Lt376sNDQ0/2LVrl0mSpEvXrl372ty5c2E2m30tqWVlZUOWlnwgQdzu3btlnU4noZ9z0eVyyUIIyeVyCf85hCJFRLDZeg8hHD16NP7zn/9QfHw89Ho9zGazpNPpUFxcPGTBl1ekk6onJyfj2LFjGD16NKxWqzh+/DhZLBbU1dVh7dq1sNlsaG9v91a+UEpKCtra2qDVaqP6/JOSkuByuTBixAh4u5SOHDkSmZmZwmg0EqCc02VlZVi4cCHt37+furq6ZI1GI8myjKysrLB/g+bmZkt5efnnERfo7FWO3oFMDJTkV2oAjWG2G3QPDyKCLMsRZ70FgMOHD3snYO73BCkoKEB9fX3EE5QHChwnrdVqpXfffRdlZWWYPXs21q9fLzU3NyM7OxtZWVlDesJGmvQiOztbrF27lpYvXw6r1Sq6urpo//79OPfcc7F3714QETQaDcaMGeNOTExU5eXloaqqCrt3746qJUyj0VBeXh4+++wzTJ061TfR/ZgxY4RarcaoUaMIADZv3oy4uDhVXFycfOzYMXn06NESENm1ed++fcc4y/DXEwdgZyEhxHYAKd4HaP8B/kR0KZTuiTcBKASUbnn5+flwOByQJGlQteqSJJHFYomqr/qhQ4eiuQgPKo18YmIiBXbvU6lUfSaN7urqQqi08QPhcrnEyZMnKdgs9sGkpKS4GxsbVWq1Gmq1GgUFBWhoaMCRI0fQ0tLiXc1/DJ66ubkZhw8f9mWpjLBcUKvVfWpT/bsVOhwO36SxjY2NaGxsxMSJEyNKSHLq1Ck7lCxiLAQhhAPA+CDnazuAv3km8L4kMzPz6ksvvRRZWVlIS0vzJV1xu90i0oHrwdhsNjQ0NIiMjIyI9vHee+/BE3z1q6OjQ/K05A6ofHa7PWgXHP8Jw9PS0tDR0TGgbpShCCGwdu1ab6KhfsuekpKC6upqnD59GjqdjuLj44VWq6VNmzb5EoEEBocxMTGis7OTEhIShCRJEX8+OTk5GDVqVK/XvMEXAGRkZJBnPiSaM2cO2tvbsXHjRqjVal/rf6h919bWugAcirQsZyshxIMAHvRMau09X60AQETTAVwL4C7/TTBE3evdbjeOHj2K0tLSiNa32WzCc8/o9/hpaWl45ZVXKJoJ2f11d3fLBw4c6PP90uv1aG5uxocffggAvnHSQ8lqtQpPcNTv+4yPj6fu7m5s2LABarWaVCqVKCgooI8//hjXXHON//3Q97wxcuRI7NmzB4cOHRKlpaUR/S1dLpe8Z88eadGiRb1eD7xe+yU7kdxuNzZt2oQRI0ZE9BxVV1c3sIwn7EvHSTjOYp7EHCLgtVYhxK+FEEVQvh9jm5ubt8iyLNtstn77h/dHlmXRX81cTEyMb6LYjo6OIRlcHqm7774bkYy9KCwsRHt7+9DkfQZQW1sbcqxZMDExMar09HQkJyf7um81NzeHrZFvaWlBVVWV8AvQwmptbcVAE6f8/e9/FyUlJcLhcIRN9tLV1WXHIAaen02Cna+e1//W0dFxTXl5Of3v//5v5t133/2rmpoai06nw/79+yPOGhaKLMvwTqQazObNm3HXXXdh9+7dwvt7hPsd9PkzevTokFk2/cXHx0tHjgzdEIienh6RkZER0bXCq6ioCHl5eUhPT4deryedThd2cnadTkdJSUloaWmJ9Bhi3LhxGDduXFSfa0JCglRQUCBKSkpARI5w67a2tkoAwg9+Yz4hztedQoi7hRAEwATgQgCRp6iNQH5+fsjvgNPpREtLi6+i7tChQxFP2HzBBRd4g/QBOXTokHT8+PGI1m1oaBiy+ysApKenk3d+w0hkZ2cjOzsb6enpSElJIUB5NrFYLCGT1EyZMgUGgyGilvGenh7X559/Lk2aNCnSIgFQKoQnTJjg/OEPf2hXqVRhD+RyueSurq62qA7Ahg0HYCwkz/Pe0e7u7j9v3Ljx8M6dO1FbWwuHwxF2EtJwLBYLeSdRDaTVanHOOefIs2bNwvjx4zFjxgx3W1vIa0fgxXnQF2u9Xg+tVhvRzaW6uhr9TbgYjdjY2EHvo7S0FJdeemm/6/WXPMBLq9UOqMuWzWbrPn78+N3Lly9fOGHChNXhMl05nU4d+Do0ZIQQDUKIv7/88svbHn/8cWzduhWdnZ1hM/aF43K5kJKSEnQ8ye7du+W77roLK1euFDqdDm+++SZ+8pOfwOl0wmw2o6WlBe3t7UErBlwul3A6nTSYeXDcbreYMmVKRPPn9fT0yMGSagyUyWSiSCsyQlGr1bjjjjv6HasTaVeyuLg4ysrKQjStZV6ffvrpvqeffnpkYWHhk3feeWfI9RwOhwbAwGa9Zn0IIXoAbAbwFwC1AYsHlKI+JiYG3vGPAcdCS0sLiEhOTk5GcnIyurq6wk3F0OceW1FRgYF0FfYKlb01mNzc3CFNuBXmWSJiJSUl2L17d9gTUqfTUaj5A/3V1taqzj333H7HfAfzpz/9SfPBBx+Mnjhx4vfnzp3b3dbWFnQqF4fD4YyJiUmI+gBsWPCDD+tXXFzcr00m0/jOzs6FVVVVFx8+fNjXvcztdsvRpGz1ZuQTQoCIEBsbC61Wi5iYGEydOtXt7QMNACaTSVVYWAgiChZsBV6cCYMIwoxGI+666y6YTKaIzom0tLRBTdjsZbVaXadPnxaRBkX96a/mTa1WU6TzqXm7FUZLp9MZjUbjVCHEhvLy8mX//Oc/Q66r1+udAPIHdCAWlE6nu6K0tPT8tra21ceOHct+9tlnewX40cwH53K55PPPPx91dXXyvn378OSTT+L555/HH//4R7z++uuSTqfzdUf1JIGQ3W43UlNTkZycjISEBF8A19bWBrPZDLPZjO7ubhJCDHhaCrvdLmbOnEnTp0+PaH2j0ShVVlYOeuJTl8sl9u3bJ7/77rtISEgY9AXAOw9gOJFeZwaT1jonJ2csgOru7u4H/vrXvx4JNeWITqeTNRrNkAwGZj55AO7w/KsB8IHn9QF1p8/Ly/NlM2xpafFVhngTN6nVat89LjY2NlTlX9B77K5du3D69OmoAyO73e5+6623EE0rtNlsHpKJiu12u9tisSCaHiahyLLc7zWrp6cnouAxKyuLgrWQRmL+/Pk9AEYJIf62efPmO9avXx+0UkStVqvcbncyEfFwo6+hAU/ax84eRGSCcrLvAQCVSnXNxIkT/5Wfnw9ZltHS0oLu7m709PSgpKQk7AWqq6sLY8aMQVFRUcQ1P0899RSqq6sjLa73ih1x5YLBYMD9998fKoVtSI2NjbDb7cjJyRnw4P6qqqohuTEAyvxBL730Ur8PbKNGjUJycjIyMjLgdrtllUolAcqNymq1Si6Xi4gIBoNB+M/lFo2ysjJbXV2dgYgKfve735342c9+FnQ9WZbFrFmzdm/fvn3aQI7D+vIERHMAbBVCyESUN3369JorrrgCBoMBFRUVUKlUOHLkCMaPH48RI0aE3d+uXbtgNpuhUqkiGovU1dUVcYuuEAIWi0W22WySVquNaDu32y2uvvpqmjYtuq/MmTNnIEkSkpOTxdixYwf0vT516pTc3NwsDXa+JUAJmB599FG4XOGnZGxra4Pb7UZKSkrguFO3JEnQ6/UqWZaRnJzcb0bGUHbu3IlXX311hhCibMaMGSLcBNz3338/Hn300UwhBI/dHCJENApAtxCi3nP+bgQQ+SzHflJSUjB58mTExMREfF/64IMPhKdLZL8yMjLkUaNGSRdccAGuueaaiPb/4osv4vjx41HdJ72VtElJSZgyZUrE2wVKTU1FJNPnRKKqqgpLliwJu47D4cD27dsxduxYmEwmWa/X+970yZMn3Y2NjSpv4qB58+YNqBzd3d3O/Pz8v7a0tPyPJEm/P3ny5J2hprA5dOiQc+LEibe63e6XB3Qw9qXhqJj1SwjRDWCP93dZltdVVlaisrISWq0WWq0W3vFh2dnZPUlJSSGfTjQajRg9enRU83hedNFF4v/+7/+ovwcVD+/FLqJBzSqVSh4zZoxkMBjQ3t4u2trayGg0RpTh0DtO7cyZM1Cr1ejo6EBcXBw6OjogSRK0Wi1yc3PD7mPkyJE4fvx4vw/BkYi0xrCiogJarVZOT0+XVCqVNGnSJBAROjo6VCkpKf43yQF3AYmNjdUT0VIA+//1r39Bp9OJO+64o8/+tm/fTg0NDYcHehzWl6dWdbPf77UpKSl4+umn4XQ6kZqaCp1Oh5MnT8Jut/f73Wtvb/fOSRXR9yE2Nhatra0RZWEkIhiNRsloNPpq6dVqdci09E6nU3a73VJ1dTXMZjNcLpeckJAg9TcXDvBFWv2qqioaO3Ys1q5di/T0dLS3t8PpdEKn02Hq1Kki3Nxgubm5UkVFxaAnvAWA+vr6iM7XxMREX/cxSZJIr9fDYDBAp9OpSktLMdCECP7S09NlrVb7fSKqGzly5K5rrrlm6j//+U9ZCnhi7u7udn3++ed2KJl02RARQlT4/V8Q0TEMMACTZRmR9nLwys7OptOnT0eUNr+hoUFqaGhAYmIiCgoK0NbWhvPOO0/4J3rxcjqdYteuXdTS0gK73Q4hhLBYLH0SXQXjfUZobW2VAUjHjh0DAGg0GnR0dMBgMCAxMdF3Hw6lvr4eOTk5vvksByOS5wKtVou5c+eioqJC1NTUSLIsY9q0aWhoaAARqaJNVR+MXq9XZ2dn30hEfwRQ84Mf/AB/+MMf7KNGjeozvuODDz7QyLJcN+iDsiHHLWAsakQ0ZcSIEbuPHz/+PQD/IqL/nTp16l0pKSmQZRl2u93hdDplk8mkiYmJ6dWNwmKxRDROyd+OHTsgyzJWr14Ns9k8qLJrtVoIIYRer6d58+Zh8eLFfdaprq6G2+1Gbm4u9Pr+hzvYbDbhdruF0WjsdfOy2+0oLy/H2LFjw06qeurUqX4Dtf7IsozHHntMnDlzJuqbTElJCdrb270B9IBr0R0OB2JiYjBx4kTU19djypQpeOihh5rr6uqy0tLS/nfLli23FxcX96r0uf766/GPf/zDIIQI2oedDY1zzjlHHD9+3Nbe3m4gonlTpkzZcMMNN6CjowM2m83ldDqdDodDP3r06F7fn+7ubmzbtk1EU2PiaUlVud3ufueqC8VsNkOn08HpdEKv10Oj0SAlJQUTJkzoc0565u5DQUEBRo8eHen+RWpqap/3tHr1alx88cXyqFGjQj6ICiGwe/duOdyErpF44403cPDgwai3a21thRACRqMRer0eF1wQ6Xy/vblcLrmzs1PKzMxEbW0tJEnCli1b8Omnn44CkPT0009vv+uuu3pt8/777+M73/nOT4UQTw3ooCwiRLQKwBIAiVC6JQYO1LJ5XicEBE0jR47slQU0EuXl5dDr9di3b1/ELWH+Zs6ciauuugpZWVk4ceIE5s+fj5UrV6K2trZPEi2bzSZbLBZJCIGEhISIMgl7gtI+61ksFhQXF/d7z9JoNANubfI6efIkFi1aFNX8aoByDd21axfUajXGjx+PlpYWUVRUNKBgsL6+HlVVVZBlGbW1taitrcXDDz/8B7fb/bN58+ad2rBhQ6r/+p2dncjPz0dbW9uQjqdjQ4NbwNhA7K+trX1DpVLZXC6Xm4h+snfv3noiynK5XFYhhBlA9tixY39aWFjom5emo6NjQA8LO3bswNGjR4ek4OPHj8dNN91Eq1atChp8AfDNn9Pc3AwhRL/p1PV6fZ/WgaqqKpw4cQJEhA0bNggiQkpKCqWmpsrZ2dm9bphqtRr19fVoampCUVFRnwe7SNLdl5eXYyDBl3dbr4FMdj1hwgQcOnQI48aNwxNPPNFrWVlZWcr//d//ZTc1Nf3h9ttv//Hq1at93dh+/vOfY+3atQ9z8PXlO3DgwAqdTjcbAIQQG1Uq1fzjx4/f2NnZeZSIkmVZ3jxu3LiVRqMROTk5WL9+PSRJgtPpRFTN1QDcbrcq2u68gVJTU73dE3HppZfi+PHjIiEhQdbr9X3GxXgDsurqanR0dCCScWGBwZfFYpEvvfRS6dSpU9BqtXTeeeeJhIQEuvXWW8XChQvJvyHIbDZj3759UlJSkujo6KDZs2f32nckc5pZrVZRUVEhMIBx2P4ti0KIiI7n1dLSIjQaDVksFsiyLN1www29lufm5mLdunUPyrL8X4WFhU0LFy5M83bfWrNmDX70ox8BwB+iLTOL2o+hPJ8ZhRB1RJQO4NcAqqGMmV0H4GUiihNCICkpydcSVFJSEtWBhBA4duyYtzV2QPeQbdu2Ydu2bVCpVDjvvPOwZ88et8lkUgXLYKzX6yW9Xg+n0+lub29XRVJJE+watG/fPpw4cQJr1qzByJEj0dnZiSuvvBK5ubm97qFCCFRUVCA/P1989tlndNNNN/XZvyzL/XavdrlcUQdfgDK/5/z5832/V1ZWkvcZoz89PT1i586dBChBZHJycq9pN5qamvC3v/3tRxUVFXckJyff+8c//vGlH/7whwAAi8Uizj//fGpvb58UdaHZsOAAjEVFr9c/TESZTqfz+wBMOp3OQUTLnE7nk/7rEdEiIcRPzz//fDgcDndsbOyA5+e67bbbUFdX5yovL1f/5z//kWVZHnDNs0qlAhFh6dKl/a5rNBp946OilZub6+7q6lJ5sk5JgBLQNTc3Sx0dHcjKyoLVasWpU6fQ0dHhu7B3dXVJo0aNEt6031arFceOHaMJEyaE7D9vt9vlN998c9AJdbKzs1FaWhrxfDQulwsffPBB2H79noeBHiGEOScn55G77777odbWVrfVaj25du3apzo6Op4fbLlZaEQ0OyYm5kmXy3Wl0+l8zWg0vudyudxut/sqKONMvOvFNDQ02Pfu3asrLy+XAUiyLA/ogSMmJgYOh8PtmR9ONdAJoYnINw5k5MiRhH6SEmg0mgGPxTQYDPSHP/wB1157LaxWK61btw4A8O6779LVV1+NN954A6tXr0ZpaSluu+02b6UMmUwmodVqfePRenp65H379kkFBQXIzs4Oebw33niD7Hb7oGulR40aFXFWOpfLhblz55K3K2Ywo0ePdgohdgHAyZMnL3nggQd2jhs3DuXl5ZWVlZWH6+rqrvHMS8e+BERkBPARgN8LIS4ioiuI6O8A0oQQtwSs+52SkpLrcnNzZa1WC41GM6AvPxHh4osvli0WiygvL1c1NAx8aJ/b7YZKpRIul0vV3t4edl2NRjOoOTtHjRolWywWqbGxEVVVVQCAP//5zzCZTHT//feLpqYmyszMxG9/+1u0tLTgySefJL1eL3Q6HS1fvlzExMSQ0+mU7Xa79J///IeuvfbakMcqLy/HsmXLBlNcAMCmTZuCzlsYyp49e8g/eAuUlpaGzMzMkwDQ2tr6yhtvvPHz+vr60UePHj3R09PTvWvXrmuFENzF/2uKAzAWlZSUlIdGjx6NrVu35trt9mvdbne9JEnzJElyyLL8GQAQUdbUqVPX3njjjUKSJNLpdIO60KpUKuTl5anz8vKwefNmqbW1daC7EkuWLIm41tlgMEgDTZKh0+lUhYWFaG5u7tN1or6+XjabzZLD4RAAqLOzU8THxxOgdFs8ePCgfOjQIZVWq/VmrBOff/45zZgxI2hNNxEN5jPxsdlsEc8ZFRMTg5/8f/bOOz6O4vz/n9m93nQ69V6sYktustw7trENtimmEyAkxpRQQugkBEIJoSRAQqi/8KUFU0KzMc3GvctFtixbttV7l07S3enK7s7vD+kuKtdPYJns+/XiFetuZnb2srMzz8zzfJ577/W54N21axfCw8P/IpFIPuE47k+EkH+gL9hcXMT9BMjl8jv/8Ic/zPz444/PEEKmMAxzWiqVJioUigesVutzznJqtXrntGnT5P2GRcjGvEwmY2UyGTo6OkJKMOtPrMhA6uvrMXnyZL9PhJwQQkhWVhZdunQpcSaDdfLJJ59AoVDg008/RVRUFC+RSNiJEycCAEwmE/nss8+wdetWREREoKqqiqGUUrlcTm699VaPMSMjkduQUuq3RH1TUxOSkpLgzfgCgH379klZlr1Kr9drADz91VdfSb/66is9pdRzwjKRkSQXwHwAcwkhvwGwFX0J158hhDxCKTUCAMMwv5k+ffq1/UZ+yONVLpczcrkc06dPx4YNG4Ies3K5nOp0Or/rhoWFUavVSvxx9R+KSqViUlJS0NzcPOhzk8lE3njjDWe6HL6jo4NFf0y41Woljz/+OD755BMkJSWhqamJqayspD09PSQ+Pt6jm2K/J0DAfRxIb28vFQTBr0a6u7tx9OhRn8ZaY2Mjf+LEidTIyMh/AHhm3759YwkhsaJAzrmBKEMvEhBGo3FbV1cXpk6deoFKpXqP47jU/sSMA435pvLy8o5g8tG449SpU1xhYSFXXl7OB7vDDQAymYxERUUF1IC/C5yhOBwOWCwWEELcRdkzTtcuQgjsdvvQ34mllA6UCydWqxXbtm0jjY2N4DhuUOzI119/PSJyve3t7aisrPRahud5LFiwAP/3f/+HvLw8X2X5Rx991Hr69Ok1M2fOfAdwJfoWja+fCJvN9t3+/fv5hQsXqiZOnHhKEIRHHA7HvxUKxSC5QbPZvNVms4WWZb0fu93Om0wmzmq18sHEkzgRBIGmpaUFVEcikaC7uzvga3IcR0+cOEE8CZK89957sFgsqK6uZhsbG4fJjHZ2dqKsrAwcx4HneWKxWPDCCy/g888/B8dx2LFjhyv/3tGjR4ctGoOBEILy8nKYzWavg7+5uRnLli3zKwYmOzub27Nnz/TrrrvuKQDplFJONL5+UpwvdgbA6+gzyHIBRGJAmhVK6eaR2HQD+p79+vp6rrm5maurq3OX9sVvwsPDAxp7EomEBOP2DvRtYnjKKVpZWYn6+nr0G1/Af9WRAQAlJSVk06ZNKCoqQk9PDwGAm2++Gddddx1sNhsaGhqwe/duAH0nx84Nl1BQKpUkMTGRHjt2zGu50tJSdHV1+XVSxrIsX1BQ0Ltly5Y7GYa5HujLBRlyZ0V+EsQTMJGAMJvNSw8fPjwBwCz0uzD19vY+MqRYlMFgMPTn+zGnpaWpgb5Yrvr6eqSlpcFX9nej0ci/9NJLbEdHB8/z/Ig8p/Hx8QHXCXbXa8+ePc5dM58WXH/yZ5+GISEExcXFFACRSCTYtWsX5s2bh7i4ODAMMyJGWFVVFYYuegVBoGq1mkycOBGLFy/G1KlT/WqLZVk2JydH+MUvfoE9e/ZcH3LnRAKGUvoOIWQL+nbUbZRSHsD3/f+5UCgUU3p7e9WUUl6n0/Esy8qMRiPq6uogkUj8iitpa2uDXC6nKpWKaDQatr/doPtutVpJZGRkQLvxUqkUarU64B38r7/+mjz44IOQSCQ+68bGxvq9K1NQUIDCwkKoVCqUlZVhyZIlNDExccQC4u12O6xW6zBZ/ObmZuj1eoSHh+Paa6/1+z2WnZ0t+eCDD/Duu+++SCktH6l+ivgHpbSXEBIGYDr6DK/v+mNkrx5SdAbLsjCZTJRhGItKpVI7HA6hrKyMoZQiKSnJZ0qH6upqHD9+HA6Hg2LwWjDoXc7ExMBTxAUjBOdwOOiWLVucuT99Pdw8/LyngwcPYurUqUhLS8OMGTPQ1NSEyy+/HGVlZcjMzAy4n0PJyMggO3bsGPZ5S0sLTp06BYZhMHPmTEgk/i15oqOjZdXV1fxNN91ULQjCP0LuoMhPimiAiQQEpZQDUNj/n6cyzYQQ7VNPPfVrjuNily9ffn9NTQ0/btw4+aWXXurXdcLCwthZs2Zhw4YNIbkvOpHJZLQ/gDygxY+vxMaeiIiI8GuX22azBRQf53Rn5HkePM/TwsJC0tXVBalUGlCCXU+YzWY0NzcjJiYGVquVSiQScsstt9AVK1YEtWjs7u4mX3755ZOU0i0hd04kKCiltQA8Z8MGYLVaz9+/f/8KQkheTEzMLTqdLspoNMpmz57t9+LdYDCA4zgEGzc5EEEQhPHjxzP+usQ6sdvtNNA6ADB//nwql8thtVp91vXlxjcUh8OBrq4uZ3oK0t7ejo6OjhGRjyeEoKysDFqtFhzHCVarldFoNPTKK68kwSa5/uGHH+p7enruCblzIkFBKe0G8EP/f57K/JsQcuDMmTO/ViqVmenp6ZeVl5czCxYs8Cka5SQ5ORmnT5+Gw+EYEU+o6OjooNR8/c0HOhCpVEqioqLQ3Nzsz1gPaA1ht9tx+vRpnD59Grm5uUJ5eTmzd+9ej6JdgcKyLE6fPo2MjAzU19ejoqICEyZMEObPnx/U/w979+5li4qKLqCUBp+JXeSsIBpgIj8K/bnD/gEAhJCXAERlZGQU+1ufEIKlS5dCpVLho48+Crk/eXl5QfmZx8fHC6WlpQzLshioXEQpRVVVFSIjI6larQbDMMRkMtGGhgbCsiy1WCx+LQLlcjnb3d0tKBQKKpPJAjU2SX9uIJ/Jl/1Fo9HQmJgYYjabeYVCwf7zn/9EUlJSUBODzWbjLrzwwtM8zz/nu7TI2aQ/d9hGABsJIX9ramoyGAyG7wkhOf620a+aSCwWS8BJzYfS29vrt1LYQORyOb766iuwLDssYWpdXR3kcjmVSCQ0PDycAYCvvvoK2dnZ9MCBA0Sv1/NNTU0+x+D+/fuF2bNnk8jIyIANPWcuI57nPUprB0p2drZrs0SlUuHCCy8Mus2//vWvjr17914Sap9EfnwopaUAHiaEkOLi4ngANxNC7gXgV5I6Qghmz57NHT16VBJqehcAdPLkyUGpenIch/b2dqjVatqvKOz63GQyUYVC4VQaRktLCxQKBW1vbyehhCP4y4kTJ5gTJ04gNjYWvb29fhu33uB5HnFxcbS1tZU2NTUx/SIbQd3M/v37bX/605+eopSOjEy0yE+KaICJ/BQw+fn5xTNnzgzINYgQglmzZuHjjz8OKjfJQHJycoIKLFar1UxmZiZ4nqdGoxGCINCtW7cy1dXVqKysBKWUTJ48GfPmzYPJZCL9yk8BXUen0zHt7e1B50wihOCCCy7AoUOH0NjYGFQbTpzy3Gq1mgWAW2+9Fc8880zAeWUA4E9/+pPk0KFDN/Ub4yLnCJRSi0ajKZgwYYLfxpcTtVqNtrbQQ4ZkMllQ450QQpyLpK1bt2LBggX44YcfYLfbXcqFVquVhIWFITo6Gvfddx/w3/Hq1wYIz/NMaWmpEIwB5kSv19OOjg4S7JgfgBAWFsY4DTmr1Uo3bdpEli5dGnBDJ06c4N59993nnSqIIucG/Yb8hZMmTXo00E1GjUYjiYmJCTm/pjOhejB1nSfBXV1dUCgUaGhoQFdXF86cOQNBEAghBFlZWUhNTcWJEydgNBqDHXdBi4s0NTUJOp2OKS4u5rOzs0PyyomPj6c6nY7odDoSGxuLnTt3Ys6cOQHHm1utVu7222+3GI3GP4fSH5Gzh2iAifwUNB85cmSt0Wi8Y/LkybmLFi3y+7l74oknEIrxxbIsvfPOO4nBYAjJgGNZllRVVeH999+H1To4bdXRo0dRXV0Nb3KxvugPfA7lPkNWaSKE0NjYWAzsh1wux1tvvYWXXnrJ73YEQRCuv/56x7p16xZTSveH1CmRs4LZbL750KFDd0dHR1+em5trlUqlfm39hrKR4GTChAmw20PXabFYLHT9+vVEp9MN2rlWKBSoq6vDLbfc4qW2d1paWgjHcYJEIglq0SmRSEj/KVhI41atVjMD6ysUCtLSMjRnr282bNiAP/zhD0/b7fY/Bd0ZkbPJ+uLi4jGtra1rs7KylOHh4X6NV5PJhOJivx1T3KLVaoXExMSQj6PCwsJIUVERyssHhx4685SdOXMmqHixEYIBAJ1OF5LxVV1dLaSmpg4a8PPnz0djY6MQFxfn92/Y0tLimDZt2qGampqL6Vn8UURCQ1RBFPlRIYSoDQbDOoZhjGVlZZM/++yz8zZv3uxXYFVtbS3OP/98Z2C8V+RyOeRyOU1ISKDTp0/HxIkTodVqsWTJEnLbbbchJycHZnNoIm+5ubnuFAsBgI4bNw6UUjQ3NwelhKHT6YJ+jxYVFWHDhg1oaGhw9SeYduLi4khERMSg+xMEAXfffXdA7Rw5cgTr1q17gVK6J5h+iJxdtFrtPRqN5kqz2Xx9ZWVl+L59+5r8fTY1Gg3a29t9lmMYhvaXF2JiYhAXFweNRgO1Wo0777yTrl27FiqVCpTSoJVlFAoF6ZfBH8aWLVvA8zz0er0QTKyUIAikvb09KMuptrYWu3btwr59+1BQUICenp6g7pFSSidMmDCsrkajCagdnufp66+/XmW32/8kLubOPQghM1Uq1T95nv9/DQ0Nkfv27fu/np4ev3YwTCYTUlNTgSEqgW6uAalUCoPBIKSlpdH8/HyMHTsWcrkcGRkZTHZ2NlpbW0OeY73FRfY/mqEoTQU1XlUqFb9y5Uo8/PDDeOONN3D48OGg+mC1WmldXR0jlUoH9ePQoUMIxPgCgOeee05aU1NzNaU0ZN9RkbOHeAIm8mMTvnjx4qtLS0uvJoSoFQrFvJSUFGlzc7Mr2bCTrq4uoaWlhcnMzERpaSliYmJoeno65s6dS3bs2AFCiFulv7lz52LZsmXgOI448+5YLBYUFRXhkUf6BBonTJgAlUqF4uJiKBQKyrJswC/jd955x5PSINm7dy8lhFBKKZOYmAhnYlZ/YRiGBBsTUlVVNbRfAbeRn5+P5OTkYZ9TSvH999/j5ptvBqXUZ96vuro665VXXrkVwNOB9kFkdJCQkPDQ7Nmzo95+++0yAJunTZuWoNFo3C6uIiMj0dbWxkskEnbMmDEwGAzCoUOHGKvV6tGlRi6X47e//S2pr6/HhAkTXA/U119/jUsvvRSRkZEkMjISycnJeO+99xiTyeS3KthAysvLnYvLYVx99dU4//zzBZ1Ox5w+fRqvvRZ4PnCO44Ja0NXU1LjcNBsaGtDc3Mykp6dj/PjxfrfBsizOO+88giFj3WazUYZhiN1uh1Qq9Xm6ZrPZHH/84x9N5eXlF4rG17kJIWTi7Nmzr9i2bdsVPM8zOp3ufJvNJlOpVMJQQZyOjg5QSqHVagWz2czExsaCZVm0t7czzjQJ7rjzzjuhVqsRHh5O1Go1AfpUFHfv3o2YmBgAQFRUFNra2mC324MSmLHZbLSoqMjbA8vjv897MB4jQXmZ6HQ6ZtmyZa65b+fOncz27dtx7733+t2G0WjkrVYrO2fOnGHfmUwmlJSUIDs72+f8SimlH3zwgfXFF1+8g1JaE9idiIw2iPjOFfkxIYSQ8PDwv8fGxt5pNBqRmpqK6667Du3t7bS3txcDJZmrq6sFpVLJREdHo6GhYZBsvNFo5B0OB7tnzx7U1NQgMzMTbW1tkEgkWLVqFdVoNMNerA6Hgy5evJgMVVn66quvBrkkcRzHSyQSt6vFQ4cOoaGhARqNBp999plf96zX67Fw4cKAXYtaW1sRFRUVUB0A2LhxI3U4HEMv5pe0vZNZs2ah3/3QLTabDRMmTMAzzzzj9vuysjLr/fffL3zzzTeP2e3218W4r3MXlmUXJyYm/qDX61FbW2t79NFHiVQqle3ZswdWq3XQImbevHnYtWsXVCoVZs+e7WrDbrcLvb29TH19Pbq6upCVlYWOjg5IJBJMnjzZ4wZFZ2cnZsyYMeizXbt2Dcp7RykVCCFun+3m5mba3d1NpFIpYmNjBwX1e6Kuro7+4x//gNlsDmjAarVaumTJkoAXdM50HEOgcrmc5ObmIiUlxWt9s9mMsLAwry7Pvb296OzsxAUXXECdcZ0DEQRBePLJJ5kdO3a8XV9f/wyl9Eyg9yEyOiCEGFQqVXlUVJS+pqZm+8yZMxfGxsaira0NSqWSOg0moM9FWBAEaLXaQSkiKKWwWCyC3W5nSkpKkJOTA0opOI6DwWDAsmXL3F57x44dsNvtw+Y6juNcydB5nhcAuFVHtdvtfGVlJSuXy52bEf7ccrDu+s5dyoBOmzQaDZ599tlhn3d2dtK4uDjy61//2mt9u92O4uJiJCcnU09xo84yLMti0qRJbtt5++238dZbbx3cs2fP45TSrwO5B5HRiXgCJvKj0r+rehfDMB2zZs167NprrwUAREREEI7jhJqaGpKYmAiGYWAwGBhBEIYZXwCg1+tZAFi5ciUaGxuHyt26falJpVKyadMmrFy5ctDnztMiQRCo3W4n8fHxbH19/TCFo5qaGvr2228H/KI3Go1oaWkRYmJiAnrRBxML0tDQADfGFxDgJOPLDUsul6O4uBjd3d3Q6XTDvv/nP/+p+PLLL8MppcZArisy+uB5fgshJIJl2fa7775bKpPJGKDvpLmuro6cPn3aFYvR2NiIlJQUpKamDjL4ZTIZI5PJEBYWhqamJlx55ZV+Pd/uTs1Mpv/a8oIgCOHh4YzBYEBlZeWwTQa5XD4wX49fAyoxMZHMmzcP3333nT/FXdjtdgEBSlybzWbqwXWR2Gw2FBYWIiIiwuVG2N3dTY8cOUL6831BoVDAbDb7PGFXKpVQKpU4efIkcZeAubi42PHRRx/dw/P8q4H0X2T0QSntABCu0+mMkydPXujcSIuMjITVah20sScIAmQyGQghg8aOU0RDrVZj8uTJmD9/vl9KpvPnz8eGDRswMA8dz/NwGl8Oh0Mwm80MwzAghAharXbQeD1z5gxbWloa6C0HGzTJIAgXxry8PLefh4eHE6vVii+//BKXXHIJgL5TvLfffpsMccOmDoeD3HbbbR4NR5lMhilTpmDXrl1uryUIgvDnP/+5uKysbHqg/RcZvYgGmMhPAqX02ylTpvyeEOJa6UskEiY5ORmtra2C0WhkGIZBbGysEB8f79F4kEgkASUcHjrRAEB+fr4AgEilUpf7RGxsLH/y5MlBi6mSkpJgldgEvV7/k8RXBpNc2h27du3CuHHjkJWV5XGhLJPJ8MQTT+C5554b5ipx/vnnm//+97+nADCOSIdEziqU0o45c+bYIyMjBx0fJyYmwmAwCFVVVUxbWxsopU6Dx+PzHhUVhc7OThgMBp/X1el0OH36tJCdne1qb/bs2dy4cePY7u5uMnHiRNfnr7zyCh34rLa1tfFOeflAKS8vByEkoCB/QggRBIEyDOP3e0KtVhOZTDZMyMcJpRSbN29GfHw8Ojs70dvbO6htpxvowYMHoVarMWPGDJqcnOzx+rW1tbDb7cNyLU2YMEEukUhG5uUhMiqw2+3rUlNTbxv4mUKhIDKZjDcajYxzoy4sLAzwMl5VKhWOHz+OefPm+bwmIWTYxmV/gmhBEASi0WgYpyHX2trKDE0O3dLSEpCnxggQ8Jze1NTktY8NDQ148sknwbIsJBIJ0Wg0Q10wCQC8+eabzOLFiwd5Cgxl6tSptKqqigx1nWYYhpk7d25koH0XGd2IIhwiPxUVBQUFZkEQhiWsioqKYjIzMzFmzBi/pGyTkpJQV1fn10pJEARmqLtPYmIik5iYSAbGoMXExDADd9oBoLKyMij/XEops3379mDqBXM5jBs3Lqh6Q6998uRJ7Ny502u50tJSumrVKnz88ceDPt+6dasaQMBbmSKjl+rq6k2dnZ2WoZ+rVComJycH8+fPR1pams92WJbFt99+C47jfJYVBAEtLS2D3gFhYWGS1NRUMnHixEFl4+PjB22YdHV1scHEdgLAL37xC+h0uoCS6bEsKwRifDmZOXMmCCFer9XQ0IDeXu95Vbdv345//OMfZID4zjBiY2Px9ddf45NPPhn0+alTp8x2uz20nBUiowq73b6jvr5+2EPDMAyr1+tJVFSU3y7unZ2dQldXl18TkkqlgiAIg8pqNBpGp9MNytWlUqmEgeqmHMfR7u7un3oNGvAJWFlZGbN3716vZSIiIqDX670K4ERERGDnzp349NNPPZZRKpUkIiICBw4cQHd396DfdPfu3WLM188M0QAT+dGIjIz8e0RExDpCSDiltLWgoGDSW2+91RJqsDfDMIiLiyP+qIcJguDXzjvLsuTCCy90xrgAAKqrq4PqJ8MwWLRoUTBVg6K6unpE2hk7dizcuSsNhGVZIpfLsW7dOlRXV/NAn5tpv+uY1mtlkVGNVCpdnpycvIcQMhMA6uvrV7/44osbu7q6hhlhgRITE4ONGzf6LGc2m12n0r649NJLB7k+BXIyPhCHwyG8/fbb6OrqCsidkGGYoCSpq6qqQCkNSc4a6DtZfP75532egmu1WhgMBnz99X/DRjiOkzEMYwu1DyJnD0JIhF6v382y7J39p7EfFxQU3FBbW+vdcvcDlUrFbN++3a/NBaPRCH82ItRqNTPw5NdoNJ4NDYKAN0wkEgn15IYYCEajkV511VW4/PLLvZbTarWYMWPGIA8ck8nkiImJCUUBUmQUIhpgIj8aLMumzp079xq5XP4vAKCU1hw9enTJpk2bRuKtS202m8/nN5C4KplMBqdEbHd3N3p6eoIaH4Ig0MbGRr9302tqarBv3z7IZLKAfhdKKQoLCz26MwVKRUWF32Xj4+ORkpLC8jwv3HfffZbnn39+KaXUrwhqkdEJz/PK8ePHz46Li9tHCGEopY729vbr3nvvvQbOn+MrHzgcvrNPaLXagAypWbNmCc5F3FBXKH+RSqXM2LFjAymP8847DxMnTgx4MVddXU3r6uoCreaW1tZWeDv9GkhzczOdOXMmDwB79uyx3HTTTf8UBOH/RqQjImcNhUIxJykp6R8AzgcASumnhYWFfzObzSNiXPtjIAWSxkGn08GpttjV1RV0vwJk4AslUAEOYdGiRUQikYRs/Oj1evLDDz/4VdZoNAoqlYoCQGtra+/5559/eu/evZeE2geR0YUYAybyo9HS0nLJhg0b4gC49KsppScZhrktIyPjhTFjxqi9VPcKy7Kkp6cHkZHe3aLlcjmampr8cpUCgGXLluGJJ57Azp07Q0r6GBkZ6XWHu62tDSzLoqmpCadOnQIAcByHiRMnCmFhYczQBK0dHR04evQoLBYLjYiIIDExMTh16hRstpHbxLbb7ejs7PQpIcwwDF577TVYrVbH0qVLy3bt2nWJqKJ27iMIwheEEDWAaGf+LUqpgxCy4vPPPz905ZVXhnTCqVarYTabB51auaOqqgr+GkRZWVlMY2MjNm3ahMTExKD7Vltb66sI1Wg0RCqV4re//a0QFRXFGI1GfufOnYxKpSJDxyvHcRAEAVu3boUgCJg9ezaOHj2Kzs7OoPvojq+//ho333yz1zI2m41edNFFRKvVsi+//HLvq6++ej3P85+PaEdEfnIope2EEBmABAAuq57n+af37Nkza8mSJQuDPaUF+sbrgQMHMHPmTK/lnCEB/rrjSiQSum/fPtLe3h6smmGgDDW6eHgQz7nooouQlZWFDz/8EGlpaVi6dCnpTyw/IocV/m6YnD59mpkxYwYOHjxoWbly5TstLS33U0pD9kQQGV2IJ2AiPxq0jwZKadeQz//fRx99dMhdPFggRERE+Iwr4Xneb+PLyaxZs/xZkHmDeFIzAvqkgA8cOEC3b9/uMr4AoK2tjezevZtWVFTgu+++w4kTJ7Bp0yZYLBYcP34cXV1d1OFwoKmpSTh27BgdSePLSVFRkc8ySqUSvb29wuWXX96wa9eueaLx9fOBUmqhlFYN+ezMnj177qmpqQkpy6pMJsPRo0e9lmlubsZ5550XULvTp09HXFxcCD0Drr32Wmi1Wo87LldccQV59tln8dRTTyEqKooB+pRZV61aRXieR2xsLORyOcaNGwez2QyJRILly5eDZVnYbDZs27ZN6De+RnTBWVxc7HOjyGQyEY7j8O6771pee+21i0Tj6+cDpdRBKa2ilHIDPus1m82/OnnypF/JmL3R2uo9zy+lFKWlpX65IDpRKpWEZVlP6r3+EsqJlMd1b1tbG9LS0nDfffcJ11xzDSIiIkZ0vEZFReHAgQNeywiCAIVCgZKSEsvq1avfb2lpuUM0vn6eiAaYyE8OpZQ2NDQ829jYGNKCTqfT+dxRcjgcAe86l5WVhdItAIDFYhHcxWbZbDbs378fdrvdUz4Q9tixY7BarThz5gzMZjN27NghdHR0AH2LN4K+cfuj7Bz6OlEE+twzr7zySubrr7+eTylt91lB5JyH47i3Dx8+HHLcki83V47jcPjw4YDabGxsFHwlMPVFeHg45s6d63ZMLVq0yGPOLUIIli1bhgkTJmDevHlISEjArFmz6JIlS8AwDO655x4BfXmLfpS5Njw83KebtUKhED7++GM8/fTTT3Mc558PlMg5DaW0tqmpKeRcURKJxKuB39bWRn2daLujp6cn1DAEX+PJW/tDBwyPfoNu7969KCkpgTP1xkhjsViQm5vrs1xTUxPmz5/fUVdX9xsxQfrPF9EAEzlb7C0pKRmeUCpAfJ2ABSpbDwCrVq3CxIkTaTB5uQbAOBNQDvqQYXxmux+K1WodWIHC++QSNHK5nPozObAs61xIh7wgFzk3oJTytbW1J0egHa/fJyQkBNxmcnIykcvlcLpNBounhWSgJ83R0dGD1FXDwsJ+NDer3//+9z7LOPM7SSQS+Y/VD5HRR09Pz2ar1RpS7CYhBGaz2eOgjYqKIgqFImB3/czMTKJUKkONq/JWP5Axx2LAWnj//v1Bd8gXUVFRXpUSgb41wuLFizFmzBhFqO80kdGNaICJnBUopV3ffPPNY1u3bg1ascnhcFBfrkeUUvT7cPtNYmIi/vOf/5Df//73mDRpUtAvQKVS6ZoEBEGgZrOZ9vT0+JSg9oHzFGwkGDRr2mw2lJSU+KzkcDisFRUVr1NKK0eoHyLnAOXl5Q++8cYbbQ6HI2jfV18y2I2NjRg7dmxAY04ikZA1a9ZgypQpjEQSfFizM8eWE4ZheIZhoFAogm4TAKZOnQqVShVSG/0MW+X+/e9/96vixo0bWzmOe3wkOiFyzrB+586du3qcqhdBYLPZoFarPc43lFK0t7cHJHYFAMnJyViwYAGTnZ0NqVQaUijCAEbEWKmtrRUOHToU0ildTU0NqqurYTKZhNLSUldbVVVVqK2t9Xm/n3zyifXAgQMXBnt9kXMDUYRD5KxhtVqfIIQUV1ZWvnvppZdK9Hq9jAngeEgqlZKuri5BqVR6rBPK4umGG25AXl4e40s21hNlZWUkLi4OJSUlOH369EDJ3dFycuScNQUATGxsLImLi/OZGLOzs1NutVpFxcP/MRwOxw+EkKlPP/30V7/4xS/GpqSkQBqIBBp8K59xHAeDwRDUxuCsWbMwa9YsvPzyy+hPixAQeXl5+PbbbyGTyfCnP/2JhoWFsUPFNYJh9erVWL16Nf7973+joaEhmLQRzjE5qCPR0dGYPXu2TyEDjuNoRUVFE/reOyO12BUZ5VBKmwkhS7Zv3/7PsWPH3paammqVSqUBTYiEEK/Pv81mC9ijw4lSqUROTg54nmeDdPtn8N+xMWJuvs3Nzczbb7+NcePGkYiICKxYsYLqdDq/XwKCIECn01G9Xk8EQSCZmZmoqqoi7e3tmDRp0qATck/s3LlTAcB7AJ7IOY94AiZyVqGUfn7kyJGUP/7xjzc/9dRTh4UA/AVNJhPt6upy6+rnJFSJ9oyMDGHx4sXuvvK0O+ZyERw7diwaGxtx6tSpkBQVfwSGuqUwABAXFwe9Xu/1nWC324Vjx44BwMOEkN/9SP0TGaVQSqtbWlryXnzxxVX33nvvm9XV1QEFh/M8j9raWo/j1WAwhLyL7U4N0W63u0IpqqqqsGvXLhw9ehRFRUXo6enhAeC7774DANxzzz1wug2GanwN5LrrrsNtt90WTFW3YzIpKQlTp071+Xt99tlnpLu7eywA79lkRX52UEoFh8Pxm+Li4vEbN258sLi4OKDx6kx14gmFQhF0/j0nSUlJ7jZKvTU6cBPBOTZG3M23pKQEu3fvRmVlZUBtd3Z28nq9ngBwiZOkpqYiMTERU6ZMgVwu9zrH7tu3j44bN47OnTv3DCEkI/g7EBntiCdgImcdSmkHgPcJISVvvvnmp0qlMmXVqlUwGAzgeZ6aTCbS0tICQgjS0tJgNpuh0+nglH/2ZtxIJBL09PRAqw1OQdvhcDBjxoxBaWkpLr30UvzrX/9yuioNfCkPlLUl6DfCdu/e/VNI7AYKDw/j/tixYzAYDNDp+kLzrFbrsInx8OHDxGQyEfQZcSOTAVrknIJSygP4nhCy5ZNPPsk3GAwz8/LyMGXKFPRvoDAmkwl6vR4cx6GnpwdhYWHOumhra2OSkpLctq1Wq5kdO3b4TAjuDZvNBovFMvB6WLduHVGpVNBoNLDb7SguLh5YhdXpdLS7u5sAfad0nvoXKq2trR4lsL3gts7hw4eRmprKzps3D1KpFBzHUbvdTga6Ox44cAA7d+50/jkyCchEzjkopScAnFCr1QaLxfJHtVrNjBs3jjIMQwRBoL29vcRgMKCzsxMsy0IikVCWZYlEIoHJZPLadkxMjM8y3uju7nYXy+3NSGHx35OvH53w8PCArtXR0cG6C3uQSCTYunWrc6MTQJ/q68DE8+3t7fTIkSNUKpUyAOwQT8F+1pyNTOQiIsMghKQRQq6ilL4BQDAYDMZly5bhyy+/xJNPPgmlUgmj0SgwDMMQQlBXV4ewsDDEx8f7bFsmk6GzsxMLFy6kgQTEl5SUICIiAtHR0a7PvvrqK9x3333B3OJPlfPE07Xhz/VlMhmmTp0KnU4n7Nmzh1EqlZgzZw4A4NSpU0NjxCT9i3GR/zEIIWqGYa4VBOEEpXSvWq2m8+bNQ3FxMf785z/jl7/8JYxGI19TU8MmJCTg9ddfR1xcHPLz8+nA2Eh3lJWVgVIKtVrtUX3QHV988QX0ev0gIY/m5mZcffXVfuffAfp25O+8806f+cqC4cSJE3j11Vf9Kep8XwjwEvepUCgwY8YMXH755fjwww9RVFSE++67D1FRUairq8Pzzz/vXNxSANdRSteN0K2InGMQQhYRQjIFQXiDEPJUdHT0H7RaLfR6Pa6//noqkUhIZWUljYmJIadOnYLD4UBiYqKQmJjo1fior6/HkSNHEBkZOSyO0htNTU38/v372f6j6dG4WQmFQoHbbrsNGRneD6I4jqP9AlukpqZGSE5O9vibcRyHm2++GQcPHkRRURGSkpJw0UUXoaenB++++y4YhgGlFI8++uim9vb2ZSN+UyKjBtEAExkV6HS6ry+55JILd+3ahaqqqqcA/JkQ8tvZs2f/6ZprrpERQga90GpqapCcnOx3+xaLBcuWLYNc7lsI7OjRo7Db7Zg+ffqw7woLC3H11Vf7fd1+Bi6mfpJdu3HjxiEyMhLt7e0ICwuD2Wx25vjyOdlptVrqcDgEq9XKEkKoXC4XAMBqtbLoO/mSoO/0K5NS6viRb0VkFEIIWfnKK6989d133+G777476XA4VgJIyc3NfXXbtm1pUVFRg45ON27ciKysLL/bt9lscDgcmDJlis+yR48eRW1tLfR6PY2JiRn0bPM8jyVLlgRkgAF9rocXX3wxzj///IDqeeO7777Dxo0b3Z7Yh4WF4ZVXXsHLL78MpVKJRx55BEuWLAH8GK86nY7XaDRMQ0MDcf7NMAx6enoYnufJgDbmUUp3j9gNiZwzEEIkeXl5jsjISBw6dAidnZ3nATgqk8nevPHGGy+ZNGnSoFhOs9lMFQoFCSSW8ocf/MtwYLFY6PHjx0lnZyd6e4PW4PLEiM2xMpkMt956K7Kzs91+HxUVhZMnT4JlWUycOBGHDx+GXq8X+k8OvY5ZSqlTZZkA4PvfCYQQwrS0tFi3bt2qKCkp+Vtra2tQu70i5waiASYyKiCEjIuJiTkZGxuLuXPnYuvWrWBZ1nHbbbe5DfI3mUxQKpV+B9vzPI9ly7xvJgmCQA8dOkTcGV5OHnzwQXz55Zd+XdMfrr32WkRFRfmtZuYvixcvxurVq11/22w23HPPPcDITFCXU0o/C7ENkXMYQogkOTm5PCkpKfmmm25CbW0t/va3vx0sLy/Pj4iIGPZ8UUrx1VdfYezYsX6139jY6Jcb4p49exAWFgaZTOb2+61btwYbdwUA9K677kJ2djYB+u5h37592LJlC6655hqfu+JOHA4H/f3vf0+cbpHuSE5ORmVl5SBBgzFjxqCioiLU0wEOwHFKqW9LVuRnjUqlejAyMvKZ7OxspKWl4bPPPqtatWpVqqf5rqysLKBn/NtvvyW+1D7b29uxZ88e8LxHx4lRcRqWkZGB3NxczJw50+WSPxCTyYS5c+cOypu5ZcsWVFZWIjU1NaRrv/rqqzhx4oScUhpyIm2R0Y0owiEyKqCUljQ1NZFjx45pv/jii/VKpRI8z0s9yaJrNBrU1taio6PDL4ELnudht3t/n3EcN8gf2x0mkwkymSyUqGMK9OU7evfdd3HLLbcIQcSbOG/Y4yw2dMdfKpVi6tSpkEqloUxuVvT5pW8OoQ2RnwGUUq66ujplz549zO9+97vfVlRUICsrK+Vf//oX4y5xKCEEkyZNQmlpKaxWq8/xIwgC2trafPajsbHRo/EFAC0tLc4YjmAgmzdvJgDQ29tLH3nkEXz55ZdoamqigYxZqVRKCCEUXoQFuru7UVtbO+iz6667DuPHjw+y6wD63hM8gGdCaUTk54HFYnm2pqaG/PDDD1P27t3bqNVqU8vLy2E2m90+l+np6SgrK4M/KvYOh0OglMKXiJbJZPJmfAGh57gcESl6juPAMAwKCgpoaWkp9u3bh6NHj2Lv3r2or6/HwYMHceTIkUF1UlNT+VBTVrS1tVk7Ozu/Fo2v/w1EA0xktME2NDRcdfjwYVJSUsJ88MEHgtVqdevmlpqaCoPBgLKyMjQ3N3tVY5LJZNi+ffugzw4dOuT69/79+/Hdd9+Rzs5Or5175ZVXcMkllwQ9bmJiYohCocB7771HZ86cidjYWKY/8XMgzTiNKLfHf7NmzcKqVasGfcYwDJYtWyb4mPx8oQAwhVLaHUojIj8rJEaj8f23336bFBQUxDzyyCOPffvtt26N/JSUFKxYsQIcxzEnT56Ew+HZezUhIQHHjx8f9FlBQQFMJhMFgIqKCrzwwgvwNV6vvvpqPPvss0wwsvRAXxxoZWUlXn75ZWI0Gl0CPP/4xz8CUjaVyWQEHubb3NxcfPjhh4iOjh70AnvsscfAMEywC1IL+t4TzwP4T5BtiPw8qTtx4kRCVVUV2b179+QvvvjC7XPJMAwyMjKgUqlQUVEBo9HosUGVSsUuX74cVqvV1ZbD4aDOmDBBEKjVavWZhBihr0lHZE07YLOWVFdXw2w2o62tDRaLBSUlJVi8eDHGjRs3aGyOGTOG9ZXn0Bvbt2/H3/72t5KGhoZfhNB1kXMI0QATGVXEx8cXpKamdhJCdAAu7unp+fPu3bu9qnVmZmYiMjISHR0dKC0thcPhcL0Yu7q6sGvXLmzevBmHDh3CiRMnaFNTE9/R0YGNGzfiww8/xNtvv42vvvpK2Lt3LyQSic8FzxVXXAG1Wh3UwuiKK67AoUOHaGJi4qBF6gcffECff/555ObmYmBqJS8y2B6tzcWLFwspKSnDPj927BgjCEKwJ2A2APH9aloiIk5+de2113YQQmYTQrQMw2Q/88wzXgOupkyZgksuuQTh4eFoaWlBa2ura/Oku7tb+Pzzz7Fw4UL88Y9/xOuvv476+nq+o6MD7733Hi677DLy7LPP4pJLLsG9996Lffv2+ezgnDlzkJmZGez98X/9619RXV09aLxXVVXhoYcewr/+9S/wPO/a1e8/BRjWiDe3pMsuuwzLly/H0HyGpaWlQlFRUbBzNA/g1wAedXciKfK/CSHEMGnSpBaVSvUXAJBIJL88fvz4221tbR79Y1mWRXp6OjQaDerq6lBeXu7afOB5XmhubkZjYyPa2toQHh4Om80m2Gw23m63k5kzZ8JmsyE8PJysXLkS06ZN+6meRXfX8fva7e3tHsuq1Wq6aNEiJCUlDZtL7XZ70Pf39ddff9nd3T2XUuo9WaLIzwZRhl5kVNHb23vo7rvvzvr++++79u/f/zrHcZnOXBreYFkWkZGRiIyMhNVqJW1tbTAYDCgoKHAlk+zu7sb7779PALByuVyw2WxMf04roH8zoq6ujowZM8ZrcueJEydi3Lhxg07Q/GXr1q3C2rVrh7kCymQyctFFF+HCCy+kdrudtLe30xMnTpC8vDw89thj2L59OxiGof1B9R7JzMxEeHi42777SoLrAwnEJK4iw6m56aabMHPmzJ3//ve/T5aUlOxmWTa+P8jc67MaHx+P+Ph4UErx+eefY8KECXjiiSeYr776CkCfe+GePXtw2223sXq9ngqCQLu7u5lNmza52qirq0NHRwcMBoPH60gkElx22WX485//HMz9DUwvMQiTyYTCwkIUFhZSQgiRy+UQBAHh4eF45JFHwPO8azPFkw0UFhZGL7nkEre/U1NTUyiLVQJAKhpfIkPoDAsLwy233HL/lClT7pRKpU9IJJLf+SOGIZFIXDn2GhsbER0djZqaGiYtLc1Vpl+BlKGUoqWlhY+JiWFXrFjh+l4qlQpSqZT1dvo9QrgbU87PfMZBE0IEePAwGTdunMf3Wv8GblCbnHq9PtJsNgeUp03k3EY8ARMZVfT09Gzr7Oy0rF69GhqNZozNZtsaGxsbUBsKhQIMw+DgwYMeT5BsNpvbZ3/79u149913fY4Lby9hb5w8eZLxpsgmkUiISqVCUlISWb58OWJiYvDnP/+ZHj16FHfeeafzmhQexq7FYvGoLBVsLrR+GACrfJYS+V+jaPPmzb133nknO3v27Ak9PT0PjxkzBr6Mr4EQQrBy5Up88cUX2LZtm9uTXaPRSLq7u4c985s3b8aFF1446NTbHVlZWX6dbgcJoZTCarXCbrejublZuPPOO3HfffeBUoqmpibB08/BsiwpKytz+11UVFQo8ZoaADeHUF/kZwillNbW1u5LTU0Vli1bht7e3jqHw+FXOpeBxMXFobS0FEql0u33hBDExMQMM2CSkpLYl156yZ8UD6GMVV913c2drjoMw0CpVLIOh8Ptu8ib2zPHcUGP2YyMjLnB1hU5NxENMJFRBcdxb/3zn//864kTJzB58uTzWZaNioyMDDjLY1dXl1/B/gMhhFCVSiUMzCPkDovFQk+fPo2wsLCAJ4lZs2YNUk7yh4iICKJQKHDTTTcJt99+u9fFbX19PXbs2OH2u/HjxyM7O3uQi2MAWAAU+ywl8j8FpbThL3/5y4p77723+4YbbgAh5OHk5OSAt7ebm5uxYcMGmEymgOakpKQkOmXKFG+uugCAgwcPQq/XB7M4CmYhyAB9gfz3338/nnzySaawsNBtwY6ODjz11FOwWCzDrhMeHk7vuuuugBfH/VAAouS8yDAqKysveemllwq1Wq0qJSXlzoiIiBPBxEiyLItAN0fr6+v548ePw2az+RpXAzcbAyWYce6qk5GRgYULF6I/GfIwqqqq6NGjR4d9LggCDQ8PJ1arNYjLAw6Hw3tAq8jPDtEAExlVUEppd3f3Yzt27GgSBAG//vWv746OjvYZuTuU/piMgJ5vSil56KGHmKECFkNRqVTk5ZdfxvLlywN60SsUCtx6663Q6XRBjTupVMrcddddPnMT9StbDZu4UlJScNddd+Gqq65yW2/KlCn45S9/6SnwXwLA/SpS5H8aSum2l1566Ym2tjasWbPmwYcffjjgNvR6PY4fPx7wYuuee+4hr776Knzl3fn1r39N//KXvwTcL4Qoie2Pa9fp06dpSUnJsOvExcWxf//733Hw4EHodLphv41CoeDnzJkDjUbj7nczAdgWVKdFftZQSlsqKyuvOHHiBJRK5eQ1a9bkBNOORBJ4BMv+/fvZ119/PZCTop9q08TFmTNnvBqIPM+TM2fOgOO4QRu8DMOQuXPn4sILL/SYkHrDhg3Ys2eP2++qq6u3h9BtkXMQ0QATGZW0traWC4KA2NhYWyD1urq6BABeFZs8odPpvEpaD0Sv1yMqKgqLFy/GlVde6bN8SkoKPv/8c8ycOTPgfg3l4MGDXr+vqKjAgQMHPE5cM2bMQFJSErKysmhubi4MBoMAAMuWLROmT5+O9PR0d3VLRWlcEU8IgtD6xRdfcP07x34fsRqNRsFisQglJSXo6ekJaLEllUqRnZ3t12JLrVYTlmVx3nnn4Y477hiUb8sDzsXVjx5DZbPZyF133eXx+/j4eKxZs4bMnDmTv+CCCxAeHg4ASE5OZqOjoz2NVxmAgh+nxyI/A+qOHz9uTUhIkEdERPhdied5ajKZBACu5zAQKioqAike7NgLadNEKpVCLpd7bePIkSPo7Oz0qB6ZkJAAi8VCzWYzTp48CavVKtTW1goqlQpGo1EYGgNnsVgsDQ0N20Ppt8i5hyjCITIq0el01v5EwnJfZTmOEwoKCpje3l4qCAIjlUrhcDh8igAMJCMjAzNmzAioj3feeafr3wsXLsQ999wjDJThHcjixYsxZsyYgNp3R2trK+3t7fV5XwMDo4fCMAweeughoF9i12AwkNraWpqYmMgAwI033ig899xzGBJz459lKvK/iuOhhx6yJycn+zWn/Oc//8HLL7+M8vJypKenMx0dHQFdLCMjA/feey/GjBnj9xifM2cO5syZAwBYsWIFHnjggWFS9274SZLCzp492+v3L7zwAgCw//nPf6BQKFBXV4f4+HgBAJOeno7W1lba2Ng4sK9y9LkNi4i4g0lNTVUsX74c8OMZb2lpgclkgk6nE2QyGVtVVRVwwuEnnngCzc3NgYhUDCznq96IJXD2J5eXUqn0KvwzdepUACANDQ04ePAgSktLGZZleYVCAblcznz77bdYtWqVy3XaZrNJALgPqBP52SKegImMSjo7O+dXVlb6VdapkugUXuM4LiARgIiICFx99dV0woQJQfYWOO+886DT6RiJRIJJkyY5P3bt4H344YfC999/H3T7TqKiosiaNWt8ljtz5oxf7YWHh8NkMpGcnBwy4DPmt7/9LTMkwPpvgfZV5H+KsI0bN6r8Vd2Li4vDrl270NDQwOzevRsnT570+0JarRbPPfccFi1aFHRn09PTB45Td4z03Og1HnXbNv+8BS+99FLMmjULiYmJYPqP8QghmDZtGobkINorylmLeIGrq6uDxWLxy6tBr9dDr9fTyMhIVqfTBWR8UUrx7LPPBmp8DcVXvVBixgbR09MzLCn6UOx2O/xZn8THx+Oiiy6CRqOhCoXCFWinUqnwzTffgFKK3t5ex7///W8ZgI9D7bvIuYVogImMStrb28974YUX3tm8eXMv7yN7MMMwJFiFP5vNRiUSCTZv3kx4ng/q5S0IAhiGwbx587Bx40b68ccfo6CgAGvXriUsy0Kn02H69OmMVqt1uUiGwq9//WsqlUq99jU6Otqvttrb2xEXFzfs89jYWFxwwQXOP1+jlL4ZaD9F/qf48I477njl8ssvb2xpafEZhZ6amgq9Xh/UeAsLC0NBQQGqqqqCHkv97s3BVg8Gn+kj/OGrr77C/v37h33OsiwZP368U2CnE8D8IPoo8j8CpZQePXr07meffXZ/eXm5z0BFmUwWsIuwk08//RQ1NTXAyJ0me1sPjMg1SkpKfBWh7nJtDqW+vp5+/fXXlFI6rF8sy+LYsWM4fPiw9NSpU/MppVXB9VbkXIWIaUJERjOEkKVRUVGfP/TQQzKFQuExtuT48eNoamryqYY2kO7ubnAc53Il+OUvf0kDlZdvamoSmpubGZVK5XYRdfToUSQkJAhRUVFMR0cHlEolVSqVIU8S//jHP/Dqq696zC8UHR1N77zzTmowGIZtsgiCgLa2NnR1dflc+D399NPm+vr6MZTS5lD7LPLzhxBiCA8P//att96afumll3osd+jQIfz617/2xwVwIIN20NeuXYv77rsvoP5ZLBb+448/Zj/88EP09PTQjo6OoWOR4r9pHkbMrQn/3Zn32N6XX36Jiy++2O13TU1NfHFxMfvOO+9Qi8XisY2SkhJ66tSpX1NK3wmptyL/E5A+npszZ85911xzjcdyHMfRmpoakp6eHlD7X3zxBbZs2eJxnhrF0GnTpiExMdHjWEtNTcXNN99M3eUp7e3tFcrLy5nNmzejudnz1Gk2m/mtW7fu5DhuCaU05M1ZkXML0QATGbUQQlRRUVFmQRBsSUlJzBVXXAG9Xu/RCKuurkZpaanf7be2tg5y28nPz4fRaERPT4/Asizz29/+1mv96upqGhsb6zNg18nBgwcxbdo0v/vni02bNuHhhx/mTSaTWw3hmJgYLF68GEqlEmPGjEFYWBgqKyuhUqkQExPj1zWqq6vx/PPP/1UQhPtHrOMiP1u0Wu3L06dPv6O5uXnfiy++OMubYmdHRwcWLFhAi4uL/TVyBiVQnTt3LhYvXowtW7aA53l67733YsKECR7bstvtuOGGG4TCwkJ/PT9G0gBztucxh59CoaCPP/44iY2NxbRp0zBmzBihqamJeeWVV/x+rwmCIGzZskUwmUwyMQmziC8IIXPOP//83Tt37tywbNmyi5YtW+a1fGlpqd+ntQBw9913Y4DgBI//Jjf2mQx5FEATEhLI9OnTPRZISEhAZmYm0tLSEBUVRbVaLT7//HNy7NgxCIJ/9tTx48dRVlY2nlJ6YqQ6LnJuMNoHgMj/MHK5/M9Tp06FXC6XHz16dOo//vGPIw0NDR5VEQ0Gg+CHuhkAwGq1Url8sL7H4cOHUV5ejpaWFqaxsRGfffYZTpw4MWgRYzabcfDgQRw8eBApKSnEX+Orv38I1s3RHUuXLsXKlSs9JnBpbm7GunXr8NZbb+Hw4cMA+tQYA8lTkpKSgjlz5txHCIkihEhjY2PXJycnbyeEBJwaQOTnDSFk2mWXXXZLSkoKTp8+/e9LLrnk96+88orHVYjBYMBVV10ViIEzaHDv3r0bjz/+OHbv3o19+/aRl19+mezYsQNDDY9169bhueeew3nnnUcDML6A/xpMIwWBF4POarWSBx98EL/85S/xm9/8BgzDMMnJyZgyZYrfF2AYhpk0aZIEwNUAIJfLb42Oji5nGCZ0+VWRnxWEECYvL+/z+fPnQ6PR5GzYsGHem2++aeE4jvNUR6FQoKvLv9DCb7/9dmiC9IFzFYP/xkV6DTE4i5D6+nqYzWaP77D6+nps374d7733Hrq7u4lUKiULFy4EIcTv06ycnBxeo9G8BACEkInR0dHFMpnskRHov8goRzTAREYtYWFhMxQKBaZPny6kpaXtbG5uvu9f//pXud1udxs4rNVqhwpHuMVoNMJmsxGdTue13MGDB1FfX0+AvsDc1tZW9Pb2Ytq0aUGdZCUnJwMjrKrma8fSyalTp7B161aUl5c7++E3F1xwQW9cXFwhgF/NmTPnot/85jezFy9e3JOammohhET5bEDkf4WJOTk59qlTp+LGG2/8q1QqVT344IMPbN261WOg/6JFiyCXy30ZOX4ZQTt27MDHH38MQRCI3W6nvb29uOOOO/DUU0/Rt956C21tbYGOPQY/jgqiz8VZaWmp8PDDD+PgwYP46quvAnJNio6ORlxc3L9lMtmftFrtE3Pnzk0fN27cvuTkZMowjPckhyL/S2jS09MNBoMBv/vd7+LT0tJePHbs2KxPP/3Uo5JpdHS0zw08QRDw/vvvY+PGjb5OkJ3rz8CzQP+ElJSU+Fwn8zyPnTt3Yt++ffj3v/9NeZ73e23Nsiyblpa2RKvV/ocQcveUKVNy8/Pzn0xPT6cajWZdIIJiIucWoguiyKglJSWlNj8/P9H5d2FhYU9VVdXFK1eu/O6CCy5wK4t+/Phxrz7XQ90OfcGyLLKyspCVlYWJEycKarU66E2LyspKWlRURAwGA6ZOnToisWAffPABnnjiCb/KMgxDX3755aCvWVFRwTkcDkl2djYAwOFwcC+++GJ5VVXV2GDbFPn5IJVKn3zxxRf/4IyJKC4u7n377bf/OHny5Mv27ds3y12d9vZ2JCYmUqvVOiKLDKlUSqdNm0Z0Oh327NmDnp6ekWj2rDFlyhT4E+zvDpvNZmlqalINrN/v7hRPKW0cqT6KnJsQQibcdttte8aPH68FgN7eXuvf/va3g01NTZ888cQTfzEYDG69HKqrqz0+k83NzfT5558n/iQg90BIromRkZEghMBoNDpP30J9r9CcnBzinPN8Eej6YiCCIDiqq6ulSUlJgkQiYQCgs7PTvmPHjj8KgvBcUI2KjGrEEzCRUQvLsuqBf+fl5WlTUlK+KCsrcxsQYTKZvBpfFouFC/TlyPM8SkpKsGfPHqhUqqDGS1NTE923bx8kEgmRyWSw2WzYtm0baWpqomfOnHG7A1JaWopjx46hoKAAR44cQUFBAbq6uqjdbqcAUFtbi507d+Ivf/mLq86cOXOwZMkSDHWtHADxISjplfT0dMnAiUgqlUri4uL8m5lEfvYolUrDwID08ePHK9esWfPEgQMHTra2tro9BXv44Yfhw/gK6PTH4XCQvXv34rvvvkNPT8+PsbsYqFsiHfK/Q//t7bOA3IWHIpfLVUMXyv3vv8lBNyryc0KnUqlc40upVCruvffeaTExMSuLiorcupJUVVUhPj7eY4MfffRRKMYXEOSaVC6XgxACu92OuXPnYuXKlZBIJIRhGE/j1dsYdtVJTU0lzvydlFIcPnwY1dXVGJpI2VUxhAMNhmGkaWlpcBpfABAWFiaTSqVXBd2oyKhGTMQsMiohhDDZ2dnDfAQnTJgg37RpU/aGDRsAYFAyQ41GA5ZlnXnAhrXpTq3IX7wZdr7o7e2F2WxGcXExlUqlBOiT9XWKD5SUlODiiy+GIAgoKCgAy7KYMmUKWHawZ8bBgwdJVFQU2tvbkZaWBrvdjq1bt2Lz5s2Ii4vDggULwLIsTCYT1qxZg6NHj7rqZmdn4z//+Q/Wr18PvV6PpqYmREREwGazUZ1OF9Tv0tzcbDp8+PD/Bf3DiPysMBgMw7bFc3JyVJmZmdf/4Q9/kKWlpWH8+PFYteq/XnC5ubnIzMz0JjIRihEV6g64u9144uU7b9cf2A/i43tXfUop6c8VhLi4ODQ0NECtVrsp6h8nTpyoBLAr6AZEfk7EDH33K5VKxXnnnbfg1KlTbEJCAoDBKRLkcjlaWloQFxcHd/HWQ+esnwqdToc5c+bAbDa7xtTKlStBCCEcx2H79u2u03BCCNzJwg/A9V1jYyOqqqoQGRmJ9vZ2UEpRU1NDCwsLyapVq1z3KwgCOjs7XUmcOY6jUqmUcBwHhmECUmceSElJCex2+y1BVRYZ9YgGmMhoJV6j0dgxJDu8VCpVaLVaEEJMSqVS8+233/IOh4NZsmQJ1Go1WbhwIQBg165dGBoq1tPTw/qT5X4oVqsVTz31VFAv0e7ublpcXAylUgmn8TUUtVqNH374ARKJBDzPY/r06W4nMmfcmTMJ5pIlSwAAv/jFLwaV02g0iIiIgMFg4Ds6OlipVIrCwkIolUq0t7dThUJBwsPDQQjB6dOnyYEDB7zuanrCaDQyDodjS8AVRX6WGAyGMe4+nzRpkqypqQmTJ09GRUWF8PTTTyMnJ4e55JJLcOedd+K3v/0tNmzY4FGCPQSC2U0faBR5q+9P2/4mj/X4/alTp3DJJZcgKipKkMvlTE9PD19QUMAKghDw+4hSCqvVeoBSagqoosjPEkJIWlhY2LAJccqUKXTXrl3IzMwEpRSdnZ18W1sbm5mZ6coZOTSFCwDU1dUJNTU1P7lXlVwuR35+Pk8IYTUajWtQOMeHRCLBlClTuH379kkSExNRXV0Nfz1BbLY+za+2traBHxNKKUwmE1QqlSCVSpn29naX66FWq0Vubi40mj4PztOnT6OyshISSeDLbavVagdQGHBFkXMC0QVRZLSSpdPp3LotTZ061SqXyxUAIJPJWLVaTVpbWynQ99IlhGDChAmIiYmB1WqF2WymofhmE0JQVlYWcD273U537NhB/I314jgOlFLs2bMHlZWVIblPvfDCC3TDhg3s7Nmz8cQTT1CnOIlCoaAGg8E1OWVnZ+Oyyy5DZ2dnwNfIyMiQh4WFfUoISQulryI/D/R6vVt1l1mzZlnnz59vBQCpVMro9XrGeeLl3EU///zzhR9++AHjx48HBqui/dRb6mcr4H3oeOeBPqPJYDAIcrmcAQCtVsvOnz/fowuUNwghiI+Pv5oQMpsQMqqFD0R+fCIjIydJpdJhsdQqlUq5Zs0aM9D3zISHh7NDk6brdDrY7XaUlZXh5MmTtLy8HM899xxjNpt/qu4D6DtxW7ZsGZRKpdfn2WAwSFasWIFJkyZh1apVASmLemLr1q30hx9+YFpbW6FSqVzvLIVCgYGGYFZWFhITE9034oOkpCQZgNcIIdqQOywy6hANMJHRSpZarXYrtKFSqRQMwwzaTiovL2cG7lKFh4cjLS0NlFKoVCoSrPEF9C2CgvFr37p1K/FHlXEoEokERUVFIS0EFQoF0el0dOPGjcJDDz3kais2NnaYYadSqRBMEkiWZdk1a9ZI582bV6HVat8jhMwghKSwLPvPZcuWVRNCFoVyDyLnDoSQiOjoaLeLILlcrlCpVIN22s1mM/bs2eP6W6lUMosXL3a6CZ0t4yBUd8dQ5LSHjnfXb9De3j7oO6lU6tb9yx8yMjKQn5+/RyaT7VCpVL8lhEgZhrkvKyurJDIy8oWgGhU5J4mJiRnv6bvo6OhBfq56vR4NDQ2DysTGxuLEiRN45ZVXyAsvvOD3qZIXAp6DPHmLeIMQguTkZATjDTO0KUopoqKioFarXZ2wWCzDrqfRaIL6ccLCwqxz5sxZGxsbW63X618mhOgkEsmFY8eO/WbWrFlHxXQw5zaiASYyKpHJZGOlUqnf1osgCDhw4ADKysooAHR0dAhFRUVgWTZo/2snCoUChYWFaGhoCGiBForR1x88HDSNjY04c+YMCQ8PHzTGVSoV4ThuUNv9wctBvQvGjBmDyy+/HLt3775uxowZ+7Va7cF9+/bd/vLLLycvXLjwA1FC93+GjLi4OL8VI6KionDw4EG89NJLTjcnYefOnTCZzqp3XCjPKsGPZDhaLJZh/ZLJ3O5N+USr1SIiIgLPPPPM7JUrV77EsuyBX/3qV8/fdddd2cuWLbuDEDI51P6KnBuEh4en+ltWKpWS2NhY1NTUuAytnp4elJSUQCKRjJTYTcBzUGNjcGKehJCQYimBvjHoLqWLO0NUrVYH9W6Ry+WKiIgIFBUVhR89evQOlUp17Nprr/36yJEjSz///POx0dHRjwbTrsjoQDTAREYlWq02N5DyhBDI5XJUVlaS9evXCwUFBaSzs5MKgjAik0NNTQ1eeOEFUltb63edurq6oK+nVCrJtm3bgq7f2to6SOzASXR0NFNeXj5oMqivr4dGo0FjYyOMRiO6u7uH7XZ6Y9asWVAqleS9997D7t27w/R6PQBg7dq1hkWLFlkJIVlB34jIuUJ6ZGSk3/MJIQQymQwymQxPP/00/+qrr2Lfvn30iSeeQHp6+mhNzHpWKCwcHAIiCAJkMhksFgvMZjN4nnfFqviDwWCAXC4nCxcuxAsvvDAhLy+PZxiGTJs2jc6dO7dQoVDcPcK3IDLKIIQowsPDvSfCHALDMEhOTobNZhPq6uooy7L0vvvuw0UXXXTWNtkmT54cdN3s7Oyg4rKcZGVlYezY4RlYrFarMCQBNerq6hhBEGA2m2G322E2m/1WOGUYhkZFRSE1NRVmszn1jTfesKtUKjYuLk5+//3335+Xl3cw6JsQOauIIhwioxKVSpXpu9Rw+ne2GKDPla+jo2MkXA3gbK+qqgoGg4FnWdaroMf69euhVqtDUmELtt82m01gGIbxtEs+dLGWkJAAp+KVM7h4yxb/tDUopdiwYQOVy+XkyiuvhEKhcF106tSpstTUVNvOnTt/A+DuoG5G5JyAZdmssLCwoLaUw8PDXSdHvb29tLW1dUQXdP3GHrXZbL7aHYm8QaHg9vpVVVWDPmcYBnPnznV9b7FYYLVacfjwYerPiXNHR4ewfv16ZsWKFZAMWIHKZDLZNddcg6ampj8AeCnEexEZ3aTHxcVZAAQcW6RSqRiVSuX6O5BNSX+Ry+XU4XAQQXDvlUgI4ZcsWcKG4mAREREBjuOCquvcQPJgwDE9PT2CwWBwdS4vL8/1pcVigVKpxIYNG/x633Acx19xxRWSK664gl555ZVEqVS65tj77rsPhJCphJAUSml1UDcjctYQT8BERh2EEEapVAYuy+eGkU40bjKZkJaWxo4bNw69vb2wWCxuZ4h+4yekxVxrays6OjoCrldaWsqsXr3a4/de8oSBEAKtVgupVOrXD0cIQVxcHJHL5UJVVdWwkwuFQsEwDDOTECK+a37GxMXFTWKCDUwawOnTp0lPT8+IPSsRERE477zzsHz5crJy5UpERER4e67Ptrus2+t3dXUJnhaiQF8Mp0ql8sv4AgC1Ws2o1Wrs37/f7fcSiSSSEBLtT1si5yyZMTExIU+OFouFlpSUjNgkK5VK6fTp07F8+XKyatUq5OTkuC1HKWXNZnNIJ+Usywal/gv0ud57S5De3d3tcSyqVCpnWIRfv5tUKpXwPI9169a5bVOn0wGA20T3IqMbcVEkMhpJ1Gq1wW1NDUGlUo2oBZaWlga9Xg+pVIpJkyaB53nGbrejubkZjY2NaGtrQ0lJScgxXJRSKpPJ0NLSElC9oqIizJs3z2sw8+LFi+nQOLChyOXygPovlUqZpqamYROERqORfvrpp5OmTZt2ZOrUqcVRUVF/J4So3LUhcu4SFRUVkMuwJ4JRG/WGXC5HWFgYGIaBVCrFjBkzqF6vh0QiweTJkzFp0iScd955IecvYhgG4eHhuOuuuxATExOImIDPst3d3ezx48d9jVcSyGYTz/OC0Wh0+90tt9zimDlzZkl8fPye5OTkbwkhE/xuWOScgBCSbTAYAleIGkJjYyNMJtOIbVwIgoDY2FjKMAwYhkF2djbGjBnjEs7Iy8vDeeedR/Pz8xGIy7OnayUlJQUcq52dnY2xY8d6HWzV1dU+f5NA4qMppdST8unatWvx8ssvv5uRkfHD0qVLC5VK5XX+titydhFdEEVGIzlhYWHDcoAFCsdxlBAyom5FzmSOTvLz81FTU4PMzEzXyVJ7ezv96KOPvLbT0tKC5OTkYX7glFKeUsrGxsaSiy66iBJCyKlTp6hcLvd5D93d3Vi6dCnV6XReJ6YjR44gOjraa3s9PT2MVuvZO8Vms9Guri7ExsYShmHoxIkTwTCM2+S02dnZin//+9+TAKCwsHDc1VdfXQjgHV/3I3JuQAghS5Ys8bwdHAADc/f1J0wNqb2hixa5XM7MnTsXPM8PcvGNjIz0mmydZVn68MMPk6eeemrY+yQ5OVmIiYlh3njjDajValRVVTHORPF+4HMRSQhBVlaW1/dYd3c3701anud5QRAEotVqiVQqpdnZ2cRoNLptUyaTSa+//noDgNkA8Oijj6oBzPfnZkTODeLi4qZKpVJpqO0MdesNdcxSSondbsdA9eAJEybQ9PR04syrBYBwHAeWZT2OB0EQqEwmI11dXcPENiwWi6BQKBir1eo6AWttbfWrf0ql0nkq53X+DA8P99kW7fuhPLbDcRyNjo4mEydOpNnZ2bR/feG2/B133CG74447FgPAXXfd9T4h5CNK6YhsYov8eIgGmMhoZJxarQ75lMRmsxGr1UrsdjsopWAYBizLYqD/eiA4EywOZagSkk6nA6XUo0tQS0sL7r//fnr69GlSVFQEs9nsUmqMiIhgx40bh6ysLEEmkzEAUFNTQzIzM1FaWgqJRIKYmJhB91BWVoZp06YhMzPT564apRTNzc0kOtq7h5G3Ztra2rB48WKi1WoFhUJB8N9Jwef7JDs7m5NIJMMjl0XOZRLj4+NDPml2OBxUr9eTpKQkOBwOumLFCnLmzBns2rUrqPZYluVjY2OHGSVSqRRD1546nc6jAcYwDP/GG2+w8+bNw/Hjx8nmzZtdUtPjxo3Dm2++yZhMJupUOrv88svphg0bSFRUFN555x1ceeWVsFqtlOf5oDaCJkyYAKVS6dVQczgcrCAIbuXp+3f6mZSUFKG/jwTokxb3h7i4uPTAey0ymomOjp44Um2lpaXBZrPR5ORkMm3aNLz88stBtxUbGwuJRDJoI48QMtD4AgDIZDJKKfU43ykUCjJ//nwUFhaivr5+aDw1093d7Xr+4+LiIJfLqc1mI7NmzcKZM2dgNBoHjdfo6Gjk5+e78vH5gKanp1P43lzx+L3BYMDTTz/tnKcHzrE+mThxIg9gDIDT/tYROTsE5LYgIvJToNPpPp41a9aVbW1tXv2sA8VoNPq96BhKeHg4brrpJsya5Z+r9alTp7Blyxa3hkxUVBS94oorXF88/vjjiIqKgiAIwg033MD0+3S7aGpqElpbW0lmZiZkMhnp7e3F4cOHERsbi6KiIixZssTv+9q5cydiY2N9luvq6hKOHj3K1NbWusqbzWba1dVFEhMTsWhR8Cm+XnrpJbz22mu5lNKTQTciMmoghFx43333fX3mzBksWbJEYFl2xFzbH3jgAQST3JVlWWHcuHFMZqZ/Wj48zws7d+6E0Wgc1vekpCT88MMPrr/vvPNObNq0CQDwwQcfYOrUqcPa2759O/Ly8mhYWBgBgGeffRb/93//BwQo9KFWq/mHHnqIGRjQ7w5KKY4ePQqTyQSz2SxIJBIG6Mu3plarsXDhQiqRSIIyACsqKvDaa689ajabnwymvsjoghDCLF68mE9MTERKSgpiYmJGrO1169YNyu8XCHFxcZg6darfz2lra6tb90GO4+iSJUuIUyCjpaWFP3r0KMswDFpbWxEZGTlsXm5tbYVGo6H9hhppa2vDvn37wPM8JkyY4HKD9IeYmBhMmODba7e6upq2t7eTuro6qlKpCNDnARAeHo577rmH5uXlBTVeOzs7sWLFiva9e/dGBlNf5KdDPAETGXUolcorDx48iM7OzocB/CVUI8xut6O7uxssy6KtrQ2RkYG/l6Kjo/02vgBAp9MJ7oQnWlpa6E033TTos7vuugvvvPMO1Gr1MOMLAGJjY5mBRpNarUZOTg62bduGBQsWCHq93u8Fb0tLi18GWFhYGLNgwQJQSrF9+3bU19cDALnhhhv8vZS7awsPPvhgT1lZ2UYA7h3aRc45GIZZfvz4cXz//fe3VFRUvHHrrbf6LQjhif3796OtrQ3jx4/HgQMHgukTk5KS4rexw7Is4yFuk/7zn//EwHb++te/YtmyZTCbzcKkSZPc7k4vXLhwUJ377ruP6nQ68tJLLwX0uxgMBvgyvoC+E2un0lp5eTlqa2thNBqxdOlS52l5wP9/2Gw2fseOHeyWLVv+j2GYkZe6EzlbpFJK8emnn77MsuxF999/f4rBYAipwfLycpw+fRpyuRxqtVowm80Bb8IkJiYikE0CT68YpVJJBqoTRkdHs1qtFmazGRKJxNOmKDBgjERFRWHWrFkoKysLyPjqvw8efuQETElJISkpKRgzZgw9efIkaWlpwapVq3DHHXcM6ksg7Nixg1522WW7lUplSTD1RX5aRBEOkVGHIAhQKpUIDw//S2VlJTiOCySofRhdXV2IjIxEeHj4IHEJSina2tpgtVrBcRy6u7vd1g8PD8f1118f0DVPnz7tdmzFx8cTmUw26OXqjLVyl9TRE5GRkYiLi0N0dHRAYzgiIiKg37I//kSYN2+eW/dLfzl16hQyMzOZ7u7uxubm5usopaVBNyYyqtDr9Wtra2sxbdq0N5wJwENpr6SkBD09PVAoFIiPjx8UwxEREeHaQImIiHBbn2EYTJw4EUPHmTc4jhPciQmEh4eTsWPHDvpcLpdDIpFg2rRpjFQq9dfAI1dffTUNNOymoaGBsdvtAY3ZmJgYmpeXR3NzcwfF0gRCT08PbWtrY3t7e2EymR7q6el5J6iGREYjU+vr6zF9+vQ7JRJJSrAnVk6sVis9efIkZDIZwsLCkJCQ4JqTlEolkpKSAPRtHCqVSrfPcnJyMmJjYwNyx3JnFNntdpqVlTXsGlKpVLDb7QGJckVFRWHs2LEBGV8A0NjYGNCcrNFoMG7cOH7WrFm48MILg1rr2Gw2+u2336K9vZ10dnZ+VFtbe0sw7Yj8tIgnYCKjDqPR2DZnzhyDwWBwvshC2ihw7n6p1WooFAqhra2NlUgkVKVS0cjISKY/WbNr095ms7l8vS+77DJcddVVAbvvnHfeeThy5AhMJhMAQKfT0e7ubvLYY48NKyuRSMBxHJYsWRLQfaWkpLgVvfBGMBLfvb29TEZGRtDuoMePH8dll12GzZs3W4uLix8JqhGRUYvNZvtDfHz83y699NIRaW/s2LEoKytzGQ/jxo1zqqMJEokEDMMQQRDAsizZtGkTbDabQCkFz/NMdHQ0Zs6cSb0F6LtDIpEwCQkJaG9vpwaDgVRVVVFCCNm4caPbU7SrrroK48ePD+i+wsPDSUZGhlBSUuL3GNRqtQG7dDY2NrKZmZkICwsLqH8D6tPIyEjCsix3/Pjxbyil/ikUiJwrHO3q6sJdd92Fyy+/POTGFAoFSUxMRHt7O4C+vJISiQTJycmUZVkqk8mYyZMnCxKJhDlx4gRTVlZGJRIJtdvtDCEEy5Ytc471gMYsy7Lo7e11xT2yLIuIiAgSFxc3rJ3c3FyUlZUhMjIyoGsEkydsqOiHL0wmE/n9738f9FrHarXSffv2kdTUVPrYY4/ZBEF4N9A2RM4OogEmMqoghEgSEhKEAcZXSPA8T00mE3HumkulUrb/3y7XIYZhXC/lfhdFpq2tDRkZGVi1ahUvkUiC0qhOSkrClVde6VSF8uqVdf/996OgoADTp08PpH2murrab8OotbWV9p+2+T0J1dTUCBkZGUH/f1FcXIzVq1ejt7fXvmrVqi8BfB5sWyKjE4VCkbFs2bJehKha6mTPnj3OPHQEgGsHHQMWJyzLQhAEJCYmIiMjAxaLhTly5Aiys7MDNr6cJCcn4/PPPyfOxWC/cI/bttauXYvDhw8HfI25c+cyJSX+ewctX76cDVQi3x8FNk/U1dXBYDBQqVRK3nrrLXNjY+Mvg25MZLQSvWLFCguAEUkHUlVVhdraWpcwlF6vd8Yku+ZYZ0yiQqHAwoULiVqtRmFhIZRKZdCntBqNBtHR0ZgyZYpLedGLWyKzaNEievjwYSqVSv2ezxQKRUAxmwzDICUlJaD3j7+n6ECfd9BAoR273U73799PEhIS8OWXXzr+85//XEYpDTxoVuSsILogiow2BK1WG00IQUJCAvLz86FUKoNKuGi1WtHd3U38jfnSarWIjIwEpZRGRkZi7dq10Ol0Aa1+qqqq6L59+7B79244TwQIIX65MeTl5dHq6upA75XyvH9VCgsLSUJCQkCTQ1RUFDl+/LjPcjabjR4/fhwDF5dNTU10+fLlAiEESqVSduedd64GMC2Q64uMfjQazRSVSqW0Wq2CXC4PSjQD6HMJ/uabb5wiEj6fU4ZhkJOTA5lMxkgkEkyYMCHgHW6e53mtVoucnBzcfffd1JkklRDiVlFwIPn5+SgoKAjkcrj99tuFGTNm+OUGJZPJaCBxp046Ozt9lqGUor6+HqWlpeB53tUfhmEElUrFAMDSpUsVcrn8/oA7IDLaSYyPj1eaTCbhm2++wfbt24OWjt+/fz+OHz/ut7LwmDFjEBYWBp7nSUpKijO9QkCYzWbodDokJCS44h79mWOjo6NJenp6QO8HrVZL/JWoB/pO/wLFarWivr7e5+/Q29uLTZs2oaOjw1V2+/btxCmlv3TpUjpp0qS/EkI0HhsRGVWIJ2Aio42IuXPn4tZbbxW0Wi0DAH/729/Y3t7egBsymUxBCW4QQshVV10VkOgGz/MoLCxEeno6TU1NDWoHXiqVEkEQAqqbkpJCDhw4gBkzZvgsOzDHki9OnToFpVKJ5uZmkp+f77ZMUVGRK7ZOKpWSFStWUIVCQYqKinij0Uj0ej2cizkAuOyyy2TvvvvurwAEtmoVGdVERUUljR07liYmJjJAn9Lm0GetXzLaazsnT57kZTIZiyA2Bnt7ewNOqGq1WrFkyRJ25cqVzo9GLF+gJ5RKJXPFFVf4JSwilUqppxM4dzQ3N8NkMsFT/r6WlhaXu3NXVxdSU1MhlUrR3d1N+3OCITEx0XW95ORkNiYm5veEkEeoKJf8cyJvz5490Ol0RCaTwWKxgOO4QakZOI7DQCELT3R0dFClUhnwuKGUYoDEul84HA4QQnDxxRcHejkXUqmUR4Dr3vDwcCoIAvG1IdPfvt8nZna7HWPGjKFqtdrtxmhXVxfdv38/cSahdjgcSE9PR1NTEw4fPiwIguCM6ZYAgEqlks+dO3fcsWPHJgPYHcg9ipwdRANMZLQxdsmSJV1arTYMAGw2GxYsWAClUkkPHz5MJk2ahISEBOHbb79lTpw44bWhUNYMhYWFuOqqq/wuv2vXLsydO9flahEsFouF8DwfkBtVW1sbTCYTr9FovJ7WDV0UNzQ0CNHR0cTdaYPJZEJsbCx1507B8zwtLS0lzviBTZs2Qa/X0/6cYJg4caLbfuzatYtvbW39g7/3JXJuMHbsWO3AhbvBYIBOpxNOnTrFKJVKZGZm8kajka2rq/PaTnh4ONvY2BhUHwIVt7DZbPSRRx7x+3TcE7m5uUJlZSVJS0vze7xGR0cjMTERvn4PjUYzyGjleV7geR7O/IADaWhogCAIGDNmjNu2KioqEBcXJyiVSsZkMsFoNLp+M51O51Z91WQy8TU1NXeIxtfPC6VSGeFMjwD0bR5+++23FADkcjlxOBwCwzDM5MmTXYmKPeFwOIhMJgu4D3K5HDabDf3JhX1CKcWECRN89scXaWlpklOnTiGQPvtzGt4PHeqy6El12eFwUJVKRVatWuX2vVFdXS1UVFSQtLQ0AEBlZaUr1EAikZAB8/Kgjh06dOgApVQ0vs4RRBdEkdHGuLS0NNdqSi6XY+rUqcjNzSU33HADJk2ahMjISGbBggVISkryujDw86XpluLiYnR3d/ttxDmV0UIlNzeXeFJjdMfu3buxYMECFBUV+XSVDAsLc/kqVldX09jYWKa4uJjY7fZhN0kIgV6vdzs5nDp1ilx00UWuv5cuXYrp06d7XYA+++yzjqeffvpeSmmHr36KnDsQQgxpaWmDVlHjx49HcnIys3TpUsybNw+xsbFsv2AMBEHw6C+r1WrBcVxQi/2wsDAYjUYIguCXiphEIoFMJgvZsFCr1Ux7e7vfxldJSQmamppwwQUX+Cw7ZcoUZqABNnbsWDJ58mTGmQR6SD+op1yANpuNOo0voM+wy8rK8nrthoYGy9/+9retAD7w2VGRcwqdTjd54N9KpRIqlYqoVCrCsiwUCgUjk8lw8OBB1NTUhKRA7AlCCLq7u/0e74QQNDQ0hDSnO9sJxIhzOByCVColc+bM8bkWIITw8fHxrg6eOXMGkZGRKC8vH1ZWKpWSiIgIj22eOHFi0KlYWlqa13vneZ6/8cYbGw4cOPAb33clMloQDTCRUUV0dPQUvV7v06E8OTkZt912GxkzZozTrWAQbW1tCAsLC3iBlZOTg0mTJmHBggX4/vvv/a43ceJEtLa2hryg6+zsFMLDw/1e0PE8D41GA57nB51wVVVV0YqKChQVFQkmk4kCgFqtZjs6OngAaG5uJgzDQBAEyGQyMnQizM/PR2dnJz1+/Dhqampcn3d0dAQ8CdbU1OBf//pXVWdn598DqihyLjB+/PjxVl+FlEols2TJEiiVStZqtQ5b1FVUVNCdO3cGlAcIAMxms9De3o729nbwPA+bzebXw8myLFm3bt2IuBwGonomCAJUKtWwDRuVSiVkZGQgOjoaMTExFOiT2Xc4HDyllFosFqSkpJD6+nqoVCoMPZUKCwsjEomE1tfXo6yszPW51WrlW1paiNP48gdKKf32229VHR0dl1JKTX7fnMiohxBC1Gq1d+u7H7VajWPHjuHIkSPD5jVKKdavXx+w4h8AtLe3o7W1FQzDoLu72+8xGOzp+FCMRqPfZRmGIVlZWQOFQgbGS9J+oR7a/zdjs9mo8/0WEREBm83mMvj61ZZdNDQ00D//+c944oknBqkt1tTUeNz89MT333/P7tu37z5K6ZFA6omcXUQDTGRUMX78eL8DrxiGwdq1a7Fw4ULX6Y9zx1ij0QS8mAP6Jp1rrrkGF198MWJjY4W9e/cC6DN0BtLW1kYtFgu+/PJLfPrpp1i/fj2ioqJCXtCFh4czJ0+e9Lu8U2o6MzMTbW1t2L17N2praxEREUFqa2uh1+uZtrY2cuDAATgcDhgMBra4uBhZWVnYt28fKKUoKCjA0aNH3eZAmjBhAnp6emC1WinQZ4BpNIHF+N522209ZWVlMwOqJHJOQAiZnJmZ6bc/z7x58zBlypRhua3S09NJMJLPdrudcYrnREREuNI+DN1Z5vuA0WhEW1sburq6/DqF8oeenh6/y2ZlZcFutyMhIYG++OKLWL16NeRyOdauXcusXr0a559/Ph555BGyePFiJCcn44ILLmBlMhlRKBT44osv0N7eDqVS6VadUaFQkISEBERFRbkWq42NjazDEVjO83379tEjR46sopTaAqooci4QGxYW5re/rlKpZNrb28nAmEVnPGeg8wAAcBxH5XI5oqKiXHn8nPHdQzcV7HY7zGYzWltb0dHREXRahaFkZmb6XZZlWVJWVgae54VZs2YhKyuLABAUCgUWLVpElEolFi1aRPrFNxi5XE4EQWCAvrVIWVkZWlpaUFpaira2NjK0bYPBgMjISLz++usAAKPRKJSUlMDPg3wAgNlstj3wwAMfAfjY70oiowIxBkxk1EAIYdasWZMdaL2oqChX5vlrrrkGH3zwAcxmMxQKRcB9OHjwIBYuXIiIiAjExMQwNpuNrl+/nmg0GixevBg7duxAf3JS4lRPAwCbzcZ/+eWX7JIlS6hGownaEOvt7aV2u93v+vHx8WhpaaGxsbHE+Xd9fb2g1WqZBQsWuMqlpqbi888/R0xMDGw2Gzo7O+n06dPhjDU7cuQISktLIZPJEB0dLQzcMc/NzUVNTQ0xmUxUIpGQ2NhYv+/Hbrfze/fu/UZ0Pfx5kpmZOU+tVgc00OLj410Gv8PhgMViwaFDh/xWUhtIeHj4oDiLqKgoGI1GcByHyMhIOBwOoauri5FIJCzLsggLC3Nt0rz00ktYsGABLrnkkoCvO5D+HGTwRy5eKpWC4zjodDoCAIsXL8bkyZP5iIgIFoArzmP16tVwuhpmZGQI5eXlzPz58wWFQsEAQHt7O927dy8RBAFyuXxQnsKwsDC0tLSgoaFBYBiGCUR8BwBKSkoogK8DqiRyrjDFYDDYAPg9ZgkhrmexpqZGKCwsZOLi4mCxWAKWkJdIJGTghoDBYIDFYkFXVxc0Gg1hWRatra1QqVTgOA4qlcp1ytbT00O/++47snz58oCuORSTyQSHw+F33GhXVxdYlmU0Gg00Gg1iYmKoIAgcAMncuXMB9OUqTEpKQm9vL1QqFc6cOYPExESam5vrGpcVFRWwWq2IioqCVCoVBsaLt7e3o6qqCnV1dYxCoXB67/i1Dti9ezfrcDj+RSn9UdxFRX48RANMZDSROXHiRA6Af5G5/YwfP55Zu3YtX1VVxWZlZfFRUVFsoNnrAVfck2tnDugLSh43bhwqKirw6aefYvz48bBYLFxkZCQZKFEvl8vZ/smCAP6rSA1FqVSSyZMnY//+/YiIiBBiY2OpVqv1uLJjWXaYu0JCQoLbk+05c+agrq5OyM/PZzDk5T5lyhTXv+vq6pjExEQAwIkTJyAIAvLz8xGMuqNMJmOzsrLGE0IklNLAjzhERjXZ2dn+J64bQH5+vlBdXc3ExsZSi8WCgwcPMsGMWbvdDpVKNSghuV6vh9Vqpa2trSQsLAyRkZEwm828Wq0eNI4kEgkuvPBCAMPz6wTCjBkzcOTIEcTExEAikQgxMTEBNeQ0voaiUCiEvXv3MrNnz2acO+wD6pBVq1Y5/yQbNmyASqVySlpDIpFgYDxKIMTFxTEA0gEMD14ROadhWXaaJoijK5vNxq9fv54AIGq1GnV1dXAn3OILnucpx3GDBrpKpYIgCEJHRwcjlUoRFRUFi8XC63Q6ZmDyTJZlB+XJdDgcNJAcWk6ys7MRGxuL3bt3g+d5YaBSrzuGvhfkcrnb8arRaFBRUYH09HRnjOWgvqWnp7v+febMGcYZh9nV1QVCCHp7e53KkMPq+rgfu1QqzQOwxd86IqMDIgociYwWCCHX7dix47XY2NiQ8lgUFhbS/gBi0tvbK/ibeFEmk+Hiiy+GJ9l1Xxw9ehQxMTGQSqVIS0tDaWkp5s+fH1RbdrsdMpkM33zzDWbMmCFEREQwALBjxw4AwMSJE4Xw8HBm+/btyMvL89s9Y8eOHXxcXJzPrfqqqip0dHRg3rx5SEhI8EtG3BNHjhyx5+fn30gp/TCoBkRGJYQQzb333ttx8803ByZBOITu7m7+888/Z1taWtDY2CjIZDK/jDG73Y6urq6A5eedWK1WJCUluZ7xhoYGjBkzBgaDIeC2nDvq3333HeLj4zFx4kQAfYH4JSUlGDt2rJCdnc2cOXMGZ86c8ft0nud5LFu2zGc5u92Ob775Bh0dHUhOTg64/wMRBIE+88wzm+rq6kI7ahAZdURFRe2cN2/evFDbcZ4ySyQSqtVq4Y9qL8dxgs1mYxQKhV+nxUOx2Wzo7e2FwWDAV199BQC44oorMHv27IDbopSC4ziYzWbs3bsXUqnUNb+Fh4ejvr4eSqUSPM8jIiICU6dO9Wv+a21t5aOionzeHKUU5eXlUCqVuOGGGwB4TiLtD08//TTeffddJaXUZzyuyOhBNMBERg1paWkffP/999eOZJtGoxF/+tOffC544uPjcdNNNwEAValUfr0Jq6ur0d3dDZlMhsjISIwZMwZRUVGuF2ldXZ3LvWLatMDzDx8+fBj5+fmorq7m6+vrGYfDQRISEmhGRgbp6uriOY7zuHvuifXr12PcuHF+lT158iRmzZoV8I7+UCwWi23p0qW1e/bsWUwprfFdQ+RcgBCy/Msvv/x43LhxgW+Fe+Gxxx6DzeY9/MiZ7FkikVC5XO7XeOV5XmBZlrFarRg7dizmz5+PsWPHuna4LRYL7ejoIPX19cjPz6eBxpA2NjZi9+7dCAsL461WK2EYhuF5Hmq1GpRSOBwOXiKRECaAozabzYbzzjvP5y490Oe+vHnzZhKMK+dQ1q9fb9u0adOVlNINITcmMioghEgyMjJ6JkyYELhvvhe6urr82gBsb2+HRqPxW3oe6BtTLMvCbDajoqICQxSCqUQiIUqlEjfddJOQkZER0DzF87xQWVnJZGRk4OjRo4LRaGR4nseCBQuoRCIh7e3tvEwmI858pP7Q0tLCS6VSNjw83K/yRqMRznQuoVBQUGC7995732xpablfjN08dxBdEEVGDfn5+UtGus33339/mPHF8zx4nnflInE4HJg2bRoaGxsxZswYvxddHMdh2bJlUKvVbnevnG58ALB9+3bMnz8/oMSqDocDJ0+eRE5ODuuMDUG/a0JYWFjgW4gALr74Ynz66aeuHXpv5OTkoKqqisTExARzKRcqlUq+ZcuW1GXLlp0hhCRQSttDalBkVKDX65dmZWWFdFo9lKqqKqG3t5cMHSf19fUwm83o7OzEhAkT0NDQgNjY2IASnzIMw1x22WUed7P7pbiRmJiI0tJSkpiYGFCMS2NjI3p7e6FWq8lQg4kQgv4k0wEhl8uxefNmxp/ks0qlkmg0moAC+D1x8cUXyxUKxXpCyGpK6RchNygyGsiLiYlxIID4Lz8ZNgYtFgskEgkiIyNdgjDBKCZ2dnbi9OnTnr4mHMehp6cHL774IvOrX/0KU6dO9bttjuNAKUVXVxedPHnywPFKAM+uwd6Ijo5m+2OshfDwcJ+GWzAnge6YPn26/L333rv14osvTgZwyYg0KvKjIxpgIqMCQkjyX/7ylxHbSec4jkokElJTUwOr1Yrk5GTU1tZCp9MhNzdX6I9zAMdx1Gq10u7ubsZisXhMZOoOiUQCnud5QojPt+jChQuxY8cOMlAYwxczZ/YJB+7YsQOB1PNFXl4eTCYTVSqVXheuPT09wvTp00dEKVUqlTKvv/665IEHHmgjhKRSSqtHol2Rs8f06dMvZFl2xJR0OY6jW7ZsYbq6ulBRUeFKr9DR0UFbW1sHJjcVOI4jzc3NZPbs2X5fXxAE2tDQQPxx9cnMzHTmHfL7hG3KlCmYMmUKKioqmLKyspBzFjlRqVQoKirya9Okp6cnqIWuO6ZNmwapVPq5XC6/0WazvTsijYqcNRiGWWQwGAKKr/aGIAhUEASwLEssFgsiIiLQ0dGBiIgIzJkzxyXk1N3dzet0OtZsNmPbtm0BXSOQBOtvv/02ent74a+HpVwuZzIzM8HzPGloaKDx8fEjkpZCLpejpqaG8ecUzKnaOhJERETg9ddfvzgrK2vnmTNngot9EPlJEQ0wkdHCgtmzZ4cs0tDW1karq6tJXV0dycrKwpw5cyCXyyGVSpGXl+cs5loZSSQSotFoiNls9ivWAgBsNptQUVHBTJ8+PaCTqClTptDW1lYSSMzK6dOnkZOTM0hkYP/+/bDb7Zg7d27Aizyj0UiPHTtGxo8f73OyUavVZMOGDZgzZ44QGRkZ9Gry+++/x8aNG+3//ve/1+Xm5k4BEFLMkMjZhxCivffee9N9l/SO3W6nBw4cICdOnEB3dzdJSEjAjh07hsrIkyF1GIlEIuTk5BB/n3+bzYZJkyYRf06SnMTHx+PIkSNkoECNLywWi7Bnzx4mLi7O9VlJSQnWr1+P22+/HVqt1u+2nFitVr+MLwDIz8+nhw8fJqEYYbW1tWhsbKTvv//+f9LS0nKlUqmorvYzwGAwrJRIJH6njPCE0/03MzOTVFZW4uKLLwbHcUMFMVwD0ylWtWvXLr9jH3t6etDc3IwTJ04E1LdvvvnGbwPMSUVFBTIzM119FwSB8jxP7HZ7UJsZLS0t8NdrRK/X8+vWrWOvvTb4yAuj0YhDhw7h1VdfrXA4HHV2u72JEEKGyvqLjD5EA0xkVJCamroiVPENs9lM9+zZQ9RqNdRqNU6fPg2WZf0S4WAYhm7atIlMnjzZaxC7w+EQ6urqmIyMDAxcZPmDWq3GkSNHAjrNKisrQ3Z2tsto27dvH3Jzc6HRaFBed6FkKgAAfTxJREFUXh5QThOLxYL9+/eTyMhI4dixY0SpVNKsrCyPvw3DMCQhIUGQyWRB7wwKgoBHH30UBQUFWZTS2mDbERl1zJs3b14vQjSmX3vtNfLqq68CAGJiYoSpU6cy/qwbCCHCqVOnmKSkJCQlJXkta7fbkZaWhhtvvDHg/gUST0UpxSeffMIcP34csbGxIIRg//79+Oyzz2CxWPDWW2/h7rvvDuj6RqMRN910E62trRWqqqrYsWPHen2fJSYmksOHDwd0jaH0G4y3U0pfC6khkVEDIUSWkZERnLrUAJwblQqFAhzH0aamJkIphT9qhKmpqaipqQEAr674PM/Dbrfj+PHjAfevu7ubFhUV0YkTJ/q1M8PzPOLi4sDzPGVZltjtdiqRSMgFF1yAiooKVFRUBHT95uZmyOVy2O12rrS0VBIdHc1726RVKpVsZ2dnQNdwd8377ruvobe3d7IownFuIRpgImcdQgj5xS9+cWGo7ajV6kHuRf1qu369iJ3ueHV1dW4NsLa2NuzZswfoS7YYlFIiwzAkPj7er7JnzpwRYmJimOXLl6OoqIicPHkSFosFs2b15anmeZ62traSlpYWZGVl+aUEt23bNqfBxvTn8iIFBQWDpH2HUldXx1RVVWHq1Kl8amqqx4nk4MGDND8/nzAMg0OHDsFsNoNSipKSEjQ3Nx8B0OjXjYucEyQkJFw+duzYwI9zhuDMowcAzc3NzNdf+5d+yuFwSJqbm8GyrFsDzOFwUABELpdj4cKFQUlmA32Jk2tra2lSUpLXBaYgCJg0aRLsdjslhJAtW7Zg/vz52Lx5sysmq6GhAffeey+uuuoqr2POSUtLC/70pz8BAImOjmbz8/Nx+PBhWK1W3lNqira2NkEulzNms9nr7n1lZaUgl8tpfHw8W1tbK5SUlDBA3wK7rKzMAiA0K05ktDE3ISHBASCwxF1DUCgUrtNpiURCFi1a5HfdsWPHIjExEbt27XJ7cm2325GTk4Pc3FycOHECO3fuDKaLZMeOHcSfE2Oe5zF37lyqVqvJgQMHiMVigUKhcN2TSqUStFot097eDqlUSn35LnMcB7Va7Vx3SCIjI2G320l9fT1NSEjwWJdlWXz88ce47LLLPAr/dHZ28rt372ZWrVpFbDYbff3110lPTw96enpgs9nAsuyrovF17iEaYCKjgdzZs2eH7H/NcVzIQa2dnZ1wOBxobm6mra2tJDw8HMnJyaipqYFcLnfl9lq/fj3WrFkTsAtgfHw8X1FRwaSnpw+7X0EQsGfPHkilUlitVleekAGuky5YliVO+d1du3bBbrcLnvJ/eWP69Ok4cuQIPLlZORfIlZWVbL88Ny+Xy4nNZqM6nY612+38iRMnmGnTppGioiLK8zxJSEigcXFxBABmzpxpT05OnvLMM8/UEEISxWSRPw+mTp26zK9gKh/0b2oETVdXFwRBgMPh4DmOY4G+k2aO48iYMWNcz6/ZbKY9PT3QarUB9ZlhGDQ1NRFPp2x33HEHpFIpwsPD4XA4eAAspRS9vb34/vvvB5V1um59+OGHMBqNWLp0qddrE0IGuR4DQH5+PvP9999DJpMJcrl82HiPjIxkli9fDrvdLnzzzTcMz/OCTqdj2tvbXW7Ezc3N9MSJE2AYBpWVlWhvb2ecJ31arRbp6elSAAcIIZMppcf8+6VERjMSieR8vV4fcnCg1Wr1243QHRqNBna7HYQQgeM4hmVZ15ydmJjoVCLGzJkz8dZbb6GjoyPga1RXV8Nut1N3nhvO5NEWi4Wmp6cTZ97OGTNmDGsnNjaWiY2NBc/z+Prrr4lSqfRqhEkkEjAMM2jMymQyRqfT8Z2dncSTKIfTXfHjjz8mF1xwAVQqFW1sbBRSU1NZQgiMRiP961//yjocDtqfb5A4hU0IIaCUOjIyMp5SKBSM1Wp9MrBfS+RsIsrQi5x1CCG3HDhw4AW9Xh+yfvJXX30VkHLZUBwOB62trSXOpIkcx8Fms7ndTU5KSsKAZKh+U1ZWJsTExECr1TIdHR2CwWBwvZibmpqE2NjYgA2pmpoaajabiSeJeZ7nceTIEY/uEGVlZXxHRwfLMAxVq9UYN27csIlmz549uOiii1BWVgaZTIb09HQcP34cc+fO9dm/559/Hg888EAipbQ+0HsTGV0QQiIeeeSRhuuvvz7keJIXX3wRr7/+etD1WZbldTod++STTzoXIygoKMCECROGuQ+azWYEEgPmhOd56nQF7unp4dVqNevceLnkkktQUlISVN9nzJiB6667zuMmjiAIuOOOO9x+19LSwu/evZtVKpXUbDaT3NxcOjQXU3l5OV555RU4HA4wDIOMjAx0d3ejp6fHZ9+sVqvl22+/fZJS+kwQtyYyyoiNjT08e/Zs/4MZPWCxWHDRRReF1EZzczNmzZrlSky8bds2aLXaYQqGDocD48eP91vldCDJycl48MEH4XA4aHd3N3Xm0Qz2HQAABQUF6OzsHDbOnNTX13vcBBUEgVZWVoJSSiiliIuLEzQazaCyPM9j+/bt6O3tdd3DhRdeiDfeeMMv6f6dO3eeamtr8y/HjMioQDTARM46KSkpH2zevDnk/F/btm0Dz/Mh96e3txetra0+E5ryPI8bb7wxqMD61tZWvrS0lJ02bRoqKysREREBtVoNm83md1Jld5w5c4bPyspyGVmCINAtW7YQtVqN8PBwv08IT506JdjtdpKUlCT09PSQ7u5uxhnX4nSDrKysRFpaml/tdXV12VauXGnct2/fmzzP/4VS2hvE7YmMAgghy7/44ouPc3JyQlItbWhooMuXLye+cn75Q1paGn77298OFQIYhDPew19Bi4HY7Xbh1KlTJCYmhjIMQxoaGkhMTAy98cYbSWVlZdD9Tk9Px7333jvos5aWFjAMg/z8fKxYscKvdmpra/kDBw6wcXFxPCEEzc3N7IQJE/DGG2+gvLzcdQ8syxJ/kuYCQHFxsVBeXv7/BEH4J6W0OMBbExkl9Of/6p4wYUJI7ocAEBcXh9zc3JD71NTUhPPOO8+n18bNN9+MHTt2BHUNmUwmSCQSYrFYkJCQQB588EFqtVoDEuIZSm1t7TBZ/M7OTqGtrY2hlMLpteILjuOEyspKRqfT8Wq1Gq2traxGo0FXVxfKysoEiUTCAIGdODY3NzsKCwu3Wa3WdwVBWBfgrYmcBUQDTOSsQgiJvO2226rvvvvukE6/BEHAV199NWISzI2NjdBqtU5/bo/XzMzM9Fs9cSA8z7uMIYvFgvb2duh0OkGj0fi9QHLH7t27B51Ibd68GQNyiAVNc3MzP2vWLNbpghksn3zyCa666qoFlNKgHPxFzj7jx4//4bPPPlsUqgvif/7zHzzyyCMj1S384he/gNMt1x2UUtrb20uC2cEfOF4FQcBjjz2GTz75hKIvB1LQCqGEEOG5556DM2+Y0WgU1q5di6ioqJA17FeuXOnWDSsQOI7DN9988xrHcb8JtT8iZwdCyPVLlix5VavVhiRy5ZR41+v1I9KvlpYW+FL/2717N2666SaBUhrSeIiIiMC2bdvQ29sr6PX6kNrasGHDoMTodXV1g3J+Bst3332HUOdXQRDooUOHSF1d3YhI6ov8uIxYDhcRkWCIiYn59sYbb/TL+KqtrYUgCLBYLAD68lQVF/dtzDqTKprNZthsNkRHR4fUr7i4ONjtdq8+6AzDBHWdqqoq2tPTg+3bt2P37t0QBEFISkpCWFgYE4rxBWBETgDdYTKZRiRjZFFREQB4zKwpMrohhPz6lltuWeyP8dXS0kLLyspgNBoB9Bku7733nkuUorOzE3FxcQNdBUPaDfzggw/oO++8M1TCfmDfSbALnCuvvBL33HMPfe2117Bs2TL+k08+Afpco0KaQ+VyOePMlwQAPM8zVqs15MVTv9pcyO309vZaeJ4PPBBHZFRACIlOTEx8zx/jixACtVoNQggIIRQAdDqda3zqdDpwHAez2QyTyeSah4MlMjKSvv/+++js7PQYF9za2hrUBkdeXh7efvttmpycjEcffZTu3r0bcrkcoRpfvb29YBjG9YJxOBwjkvgc6BMhCRWGYUh3d7eYY/McQTwBEzlrSCSSRY8++uiWSZMmQa/XU47jhNbWViYyMpJYrVbIZDK0t7dDoVBAq9XS5ORkUltbC4Zh0NjYiKSkJGqz2YhcLqfd3d3EKcleX1+PvLw8fPDBBwhlk95isaC+vt6n1DvLsrjgggtocnKyXxfzpTwYKDzP87t376Z1dXWSa665BgzDoKurC8eOHUNERITXZJYWi4U/c+YMm5ub65D6yHrZ1dVFp02bFtKirry8HHPmzPmsqanp8lDaEfnpIYSEx8fHV0yaNEk/b948ZGRkcC0tLcw333zDjBkzBhkZGVAoFPjmm2/gcDioTCYjdrsdDMM4hWXAMAwopSCEQCqVuuK2NmzYMCILGa1Wi4cfflgICwvzuNCyWCw0Li6OTJs2za82OY5Dfn4+rNYRFRkzqdVqzWOPPQa1Wg2Hw0G7urrIokWLfMZU7tq1C5MmTbLqdDqvvkmPPfZYUFLeAxEEgdu/f7+kubmZEfMKnXvExMSse/vtt685ePAgTp8+zUulUuTk5LAxMTHYvn07rFYrpk2bhjFjxtDIyEiEh4eTpqYmVFVVgRCCGTNmoLKyEna7ncbHx5N+ISYUFBQgPj4ex48f9+r264vW1lakpaVh5syZHss0NTXRBx98kOzfv9/vdq+77jr88Y9/DLZbw+jp6ek9ePCgsrm52aU4bDQa0dbWhoyMDK91q6urER4e7tDpdF7n156eHhw4cCDkvlZUVODYsWPnU0p/CLkxkR8V0QATOSsQQmIuuuii4ueffz5y6Hc8z1OHw0FCUVuqqanBzJkzhR9++IFpaGgIuH51dTUiIiK8uiAO5dZbb/VLFdFisdDm5mbib/yUNz7//PPeP/zhD9+dOnXq5YkTJ75x7NixzOrqaqGkpIRxBjl748SJE6bVq1cr165dy86fP5+bOnUqw3i4iY6ODq8TpTesVqsDAPPee++xv/vd735lNpvfCaohkbMCIYRRKpUfLV68+CKpVDosIpzjuJDcZ86cOTMw6eow9T9/uPXWWzFhwgS/yjocDuTl5SE2NhaCIPgct08//TTefffdQLvkDgv6UjI8AmDuo48+uiYiIkJms9mY++67z68No9jYWERERDR8/fXX8YIgmNPT0936XT/++OM4diw4EUNKqSAIgtDV1SUpLCzc2tXVtTiohkTOGoSQS1977bV1ixYtGjaRmkwmqtFoQtpMcwq6HDp0KCjX/66uLqxcudIvgQlKKZYvX46qqiq/2tZoNNi/f7/XzUd/4DiOe+GFF2wff/zxsyaT6dCFF174zYoVK1BVVYXw8HC/4rU/+eQT7Nixo+iBBx6YaLPZuKysLLcvyubmZuHIkSMkWIOW53nO4XCQoqIitr6+Pp5SKqZ+GeWIBpjIT4pEIlmWkZHxu9zc3GWPP/64XSaThayk5g6nscBxHF577bWA5emrqqqQmpoaUB1BEKhSqSQrVqxAf54tj5w6dQpjx44NqP2hvPDCC70PPPDAao7jvgMAlUq1+vLLL38vJiZGnZCQYImIiOBsNhvp6upi+333Xb5evb29EAQBcrmcvvPOO+SVV175OC8v76o333yTk3hYSTc3N2PMmDE0Pj4+4Ali9erV/KZNm/5iNpsLKaWfB3/XIj8lhJAkhULxmE6nu3zixIlyrVYb/K6IF/bt24empqag60dGRuLxxx8PqA7P89Rms5HY2FifJ9Kvv/46XnzxxaD7148ZwPsA7qCU8oSQxKysrI3jxo2bdPHFFyMmJqZHr9fT0tJSyaRJk/jJkycPUvfp6emBRCLhGxsbkZGRsSExMfHS7777zpGTk+N2ldnS0oLf/OY3QZ0s1tXVOQ4fPvyxIAiFAP5JKQ3dP0rkR4cQwmq12j+kpKRcedVVV4278sorf5Qwk7KyMsjlciQlJaG8vBwVFRUBeZuYTCYsXrw4IAErQRDw7rvv4ocffsChQ4e8lpVIJCguLg7JA4bjOH7t2rWVe/funU8pbSSEkMjIyH9Nnjz51waDAXq9vken09H29naJXC4XcnNzlQzDuBYadrsdlFKOYRj21VdfLa+pqYlcsWKF3lPuNIfDQQsKCojFYgm43zzPO7755ptSjuM+APA5pfRU0Dcu8pMh5gET+UkZN27cFx9//LGyf43/oxhfQN8Ot91uh0wm8+tlVltbC47jYDAYKMuyLlcLP69FOzo6CAAikUjQ2toKnU4nGI1GprS0FCaTCSqVChaLBRqNBpRSLFy4MOh7EwSB3nLLLdb33nvvWqfxBQAWi+VzQsgXAGIAqAFEAHAAsF1wwQXFL730kquNH374AY899hguvPBCcttttwnR0dGrL7jgAodEInG7mOM4jubl5ZFgdk0PHjwoHD169E2TyTRyPiEiPwkMw9wzZ86cNcEmMvaXjIwMGI1Gv938ZDIZpFIpOI6jNpuNBKrMtnfvXsTFxRGGYdDT04Pp06fDZDLhkUceAc/zWLlyJY4dO4b4+Hg4HA688cYbQclhD0AA8B76jC8BACildQAmE0LC1q9frwegBWAAUBEVFbWupqZmpkKhkAJ9gf4LFy6EzWZjS0pK8Pbbb69auHChOSUlxePRQ7DGF8/zjqqqKrsgCDeIbofnHBPXrFnz+G233fajXiQ8PBxVVVVISkoCIQQOhwPe9lJ7enqoyWQiAGhkZCTp7u4OyPiqqqpCU1MT8vLy0NjY6DTAhMjISGbJkiXYvn075HI5ZDIZOjs78dhjj4VkfFVVVdl+//vfVx4+fHiJ8ySpfyysIYTcBiAWfUmtYwA0EEJWrl279rlJkya5DLAPPvgAR44ckdx+++244IILUgkhdm/hDEeOHCG9vb1B9bu0tFTKcdzNlNLQEiuK/KSIBpjIT0pxcfG1Tz755BcJCQm46aabYLfb7QqFYkQNsbKyMqSmpqK+vh5paWlYvXo1qqqqqNlsJqdOnRp2GlZaWuqK8zKbzaR/h9nv67W2tpLrr78eZrOZajQa0tXVJZSUlKCrq2uYOlJ1dTXmz58/aDEXiJz7O++80/v4449/UVVV9QildJj+df8k4TxKKAcAQkiU3W63btu2jed5HgzDIC0tTcMwDL788su7L7/88udmzpxpr6urE06ePOnYsGED+8orr7ADT8IIIaS+vh7Z2dl+/y4AsH37dqxZs4aprKz8W0AVRUYFgiA8cuzYsbvDwsIwduxYB8MwgkQi8e0zFADNzc2wWq1QKpV+GWAKhQK33norMjMzQSklb731FlasWOG3geRwOPDpp5+CEEKtViuRyWR03bp1AqWUbW5uFkwmE7Np06ah1YJdzVkAlAD4E6V0o7sClNIuAF0DP5s0aVL7unXr2Pj4+O7Ozk42Ly9PnZSUhO3bt1/5zDPPfHT77bfbbDabcODAAdNjjz0meeGFF/icnJxBxlhERARaW1sD6izHcdaCggJFe3v746Lxde5BKS2MiIj40uFwXJKfn4/p06dzDMMQNlAXEC8IgoDa2lqXGmJ6ejqsVitUKhWOHz8OQsgg6XS73S5EREQwl156KQCQwsLCgFO3FBUVQS6XCyaTiZk+fToUCoWQmJhIqqurkZeXh3nz5rnKEkKwePF/PWbNZjO12+0IDw/3OYZ5nucffvjhjh07drxpNBofdW6WDKT/NLim/8/TACCRSOrr6+ulMpms22KxsDqdTpmUlMQUFhZu/PrrrxNuuummHABCQ0ND9969e2V6vZ5ZsmTJoHWPUqlEe3t7wMqlJSUlKCsr6wawN5B6Imcf0QVR5CeHEBIZHx//xFVXXXXbG2+8se/iiy+etWbNGktSUlLIiZh5nkdJSQnCwsKwcOHCYUkTrVYrqqur0d3dTUtLS8nRo0f9cjXs6emhKpWKsiw7yKWjsbEROTk5yM/P96t/9fX1yMjIoDqdjoSFhaG0tBRnzpxBamoq4uLieIPB4HGi3LBhQ+/ll1/+a7vd/pFfFxsAIUQGIBMAD0AqlUpXORyO1wCYAFwLQA7ACKAUwOxvv/32r+np6YPczbq6upCTkyOo1Wq/3Vqam5ttBQUF8osuuugSSun6QPstcvYhhBgA5IwbN25XeXl5dWRkpDQhISF+JKSXgb6AfpZlncp97nAZV0qlErfffjuflpbmdUHJcRy1WCzQ6XSDxn9rays++ugjnDlzhgqC4M9ChwfgvJZzMcYM+NvbWOgF8AOAS9wt5HxBCEkBoAfQI5FIlgE44nA4DhBCFgLIRZ/R1gSg4A9/+EPXU089Nag+pRSXXnqpX3GpTniet1qtVsWePXsOmkymkVMKEvnJIIQoAMgW/f/27jyuiTN9APgzk4SEI4Q7ECAJVwgJgqLWuyraeldFqVW3Vm2t5y6KtYe71dp1e65a9efZemut1Vop1qPW4gV4YQUhhENI5Ey5w5E78/sD4yJHQEXQ9vl+PvvZdSbvO++w88zM884770RG3qMoiqNSqS4NHz78xSVLlpjber/3UeTk5EB1dTX4+fmBm1uLV7ihtLQUNBoNVFdXg0KhAHt7e3j55ZfbrbegoIDy9fVtEZM//fQT0Ol0k42NTYeSSK1WC+PHj3/wntuNGzegoqICRCKR2d/f3+r+v/vuuxVxcXE97z+dfiQEQTgDgBAa4zKYTqd7GwyGb+7H8QRovNZWAcBVX1/fk++//36f5nVcvnwZHvW7iA0NDZRMJiMKCgrs8Puazxd8Aoa6HEVR5QRBLN2wYcNGiqKyCIIICg0NTfP19X3iug0Gg5nJZJIGgwFam9KdxWJZnuIQNTU1IBAIOtRz3rNnTyIrK4swmUygVqst24IRI0YAj8frcPu8vb0hNzeXIAgC/Pz8Hppl8dq1azR/f39KKBQCk8kkAACOHj2q+emnn+pCQkLcN2/evPNxki+AB712GU0WNZ0e7aHZBQiCCK2oqGA1ncTDbDaDh4cHPErypdfrDVqtlrw/s1Pm47QbdT+KoioB4ApBEEEAUFhUVKTl8Xh5Pj4+Tz6LDADodDrg8/nWEjACoPGzD3PnzoX2ki8AgMuXLxPJycmwdOlSKiMjg3B1dQVnZ2c4evQoyOXyB3V2AA3+l2g1P/Yt/256DqmHxmG/DgBQBgDTHif5AgCgKEoJAJYppbc1WX4BAC5Y/k0QhGNNzUMP0AAA4K233nqk5AugcbIcg8HAamhowM6S5xRFUVoA0BIEEQgAdIqiSgmC+PDtt9/+V2eMNmloaABnZ2cwGAytdkBY3n+2fBomIiKi3Trz8/Nh+vTpxMaNG4FGo4FGo4HQ0FD49ddfwdnZGeB/nSDtYrFYEBcXBwBAhISEQHV1NdDpdMjLyyPv3r0LL7zwAsXhcAgAAK1Wq9+5c6f5jz/+MDAYDIe4uLjxj5N8AQBQFFUFjQkWAEBek+VKAPi/pr/19PQ0Nv22IABAZmYmpdFoiEeJWZ1Op6HRaLY1NTVqTL6eP/gEDHU7Ozu7TxMSEmKcnZ1tO6M+lUoFERERVmdmkslkcP78+Q5PzlFTUwN9+/aFxMREWLhwIbi7u0N+fj5kZWVBQEDAY7WzrdnXqqurzSUlJeThw4erjxw5Mp6iqESCIOwAQNMVw4LodPoAoVD4vo2NjY1GowldsWKFT3p6Oqxdu5ZycXFp98ZVqVTW//jjj/a//vprZWJiYpzZbM6rqalZ21459HwgCEIaHh6e1l5v8qOIj48Ho9Fo7SfmF154gXzjjTc6VJ/RaISjR48Cn8+H27dvg0wmAw6HA60lKp2gaQL2LgCsh/sJG0VRj9ad/RgIgmD7+fnt5HA4djQajde7d+8+L7zwAhw8eNBy82qVyWTSFRYWMqurqyE/P3+LjY2Nn06ne5WiqPqn3XbUNV588cXib775xquz6uvIp1Ru3brVoeTL4sKFC3D06FHo378/rF27Ftzc3IAgCFi1atUjdyRYWD550ZxGowE6nQ5btmw5m5OT8zoAlAOAXVcd8xwO5z17e/vBDAbDgSTJfuPHj7e9fv06eHt7d6h8WVmZrqKignnv3r1zRqNRr9fr/2M2m5OfcrNRJ8MEDHUrgiD6zJkz58J7771nn5KSAn36tHgq/0gqKiooPp9PWDuRlZWVmb/77juyI8mX0Wik3N3diR49ekBoaGiL9XFxcSASiR55lkVrzGazeeHCheoLFy70pyiqWz9afP+Du+MAAEaMGLH31VdfdX377bfh0qVL4O/vr/Px8WECACQnJ2uOHj3KHDZsGPnFF1/kJiYmjrzf84f+RAiCsHNycroyZMiQ0NraWoajo6PpSd4voSgKTp8+DTqdzuqT6J49e8K8efM6VOevv/4Kt27dAqWyzcPvSSfUaI0RAGIoitrayfU+MoIgxAAgdHBw+CePxxssEomMDQ0NdJIkwd7e3kiSJF2v12vv3r3LIkmSMplMRFZW1lAAuIzvff35uLq6frhx48aVwcHBUFlZyXrSz5/cuHEDQkJCrE5jn56eDiKRqEPvM924cQO2b98Ov//+O1VfX//Q71kslmnOnDm01q69T6KioqJh3bp1V2tqal563CfUnYUgCDYATLKxsfHy8PD4PDAwENhstqGmpobh6OioZTAYLACA/Px8U11dHenu7k4kJyd/CQD/piiqtjvbjp4MDkFE3YrBYAyaNWuWjVKpNJ49e5YeERHx2L1dOp2O4nK5VpMvAACZTEZam2lIr9dTGo2GGD58OJw7d46orKyE1157rdXfTpw4EUpKSqjff/+dMJlMjzxJRWu2bdumv3DhQl+KonKfuLIndP+G7CRA42Qe165dOx8dHT3866+/hiNHjjBHjBhRzeVynZKTk22zs7O5GzZs6AkA4Orqetnb27u6qKgorDvbjzqdm4+PTy86nQ5ZWVnQp0+fJ3oKlpCQYHnnoc2AJAgCwsPDrdYjk8kgLi4O+Hw+jB07FpKSOvw+emckY/UA8M9nIfkCALg/BbUcAM4QBDGLw+Hs0+v1kJWVBSwWq4YgCFcOh8NSKBRCAGABQF8A6Ofg4HCRIAhxd3f6oM4lFoujX3jhBdbmzZth0KBBIBQKKeIxpwjMyMiA8PDwdhOrhoYGsPab2tpaWLZsGTQ0NMD7778P/v7+cOXKlRa/12q1tO3bt4O7uzv07dsXBg0aZPUj6x1BURS1a9euOzU1NS93d/J1vz210Ph5CiAIYitFUbXBwcGMtLQ0aGhoKHF0dPRzcXGB7OzseQBwNjc39yUAKLK3t1fTaLTlJpNpfbfuAHps+AQMdSuCIJjOzs7/DgwMHJWSkrLD09Mzevr06cMmT56sdXd37/A3h8xmM6VUKolRo0Z16PfFxcVw/PjxVpO9+vp6sHwUtbq62iSXy2kd+QDxzZs34Umn61apVPWjR4/+tL6+/j9PVNFTQhCEr4eHx3t//PHHPgC4BQDuQqGwhMPhgKOjI1y+fNmrR48eJQwGA27fvr3QZDJt7+42o85FkuQ0d3f3FRUVFSfodHqYs7NztEQieeQbo4qKCrhy5UqHp0ofN24cjB07tsXyoqIi+PTTT8FyLfP394e8vLwWv3uKMgCgJ0VRVsdQdgeCIBgMBuM9s9mcbzKZ4imKUrNYrB+YTGaUg4MDFBcX/5PBYESw2ewp9fX1pTqdzvtZuClFnYcgiBCRSPQpSZJEZWWlzMnJaebixYt9R4wYYWQwGB3uhFer1Sa5XE5rb+ihxc2bN9sc0TJ27Fi4e/cuAACIRCKqqKgImj/9as3UqVNh+PDhHW1yq86fP689fvx4z2e1o4EkybE2NjaDdTrdJoqiSkmSnO7o6Pgtg8GAhoaGuoaGhnFOTk4XzWYzqNVq38d9Zw11P0zA0DOHIIhBbm5uyyIjI0d9+OGHLBsbm3YvEjk5OTBu3LgOb+PGjRuQl5cHFRUVLdZVV1fDypUrH63RAFBSUkLl5uYSXC73kctafPbZZw179uxxvf8i9XOBIAi6k5PTWq1Wy9FqtYuhcSaoUoqiGrq5aagLEAThBQDvenh4TAwPD+c6ODi0O5vpH3/8YUpMTHykoYtSqRQGDRrU4mlYWVkZrF27tr13yJ6WWgCY0dYU888qgiAmMBiMpQaDYSY0fs/oD3zn66+BIAgSAP4REhIyaebMmQOio6M7NDHHnTt3oEePHh3ezs2bN4EkyVbfA3v11VchNTW1w3VZhIWFwfz58x+5XFOrV68+UlZW1vqQlmcUQRB8BoOxx2AwfA6N0827AEAhdpY833AIInrm3P+YYCJBEF5Xrlz53NHRUeLm5kaQJCn9+uuvW/0GUZNPVnVI3759QSKRwO7dux+8v2UymczV1dUgFosfa4iDl5cXcevWLXiSBOzy5ctnn6fkCwDgfs//+00WdenjB9S97n+odBlBEO9cuHBhBZPJHM9ms50qKyvtX3rpJU/LOwxNaTSaR35vLCMjAxwcHB5KwCoqKky3b9+mdVPyBQDAgMap5p8rFEXFA0B8d7cDdb37N+1fAcBXdDp9xLZt2z4QCAQulZWVujfeeKNvVFRUq7Hp5eXV9JMM7erTpw+kp6c/tKyurs6ckpJCFBQUPNYQSCszpXZIUVGRury8/NATVdINKIq6BwAjmiyq6662oM6DCRh6Zt2/sZtl+bdYLP65oKAg0tfX96Ebuvr6evPQoUMfOWlKTk4GkiQfvANiMBjIDz/88LHbe+PGjccagmgymSgajUaYTCZzbW2t/rEbgFA3oijKBACf3f8PEAQRrVKpDrb2vbDmN2YdZB45ciQB9+NVLpfD7t27afX1j/3gpr3veLWKTqdTRqPRcgNJQOO3whB67hiNxvMAcB4AgCAI+5s3b6pHjx6ttbOze+gam5KSAr17937kThODwfDgf6tUKtOKFSto9z9L8lj69OnT5uzBVtpA0el0giAIqKuro0HjhDkIdbtOm0YYoactKytr2quvvnrg+vXrDz0h0mq1UFNT0+FH8WlpaXDmzBmQy+VmiqIo3f1ZAPr27ftE43H79OkDGo2mwzdjWq3WVFdXR9nb2xN3796lKIoiPTw82p83GqHnw7EbN268kZ6e/lC8ms1m0yNOnEjx+Xzo0aMHyePxiIaGBi0AgFKphCdIvgAe4/o3btw4+Oyzz4ixY8cCm802QeMHzHEcP3ruURRV/8MPP4TMnTu3uL6+/qHPJ1RXV4PZbO7wcZ6SkgK///47hIeHQ0NDg85kMpl0Oh35JMkXAMDvv//+SMlXamoq9csvv8BPP/0Ed+/eNdnb29tC48QzCHU7fAKGnhsURdUBwNsBAQFDXn/9dfGlS5egV69e8N13350lSdJ97969PYcOHQr0dsYjpqenQ3V1NZAkSV64cAFOnTr1i0gkemn8+PGsIUOGPFbbTp48CRwOhxIKhS3uLHNycoDJZILZbAYGgwEajQYoigI7Ozua5YViPp9P5ObmUjk5Odibjv4U7s+g+R1BEE729vbbCgoKgMvlQnl5eaVGo/kWAGKg8aPFDGv10Ol06r333iMAAGpra/UrV64sDAkJMbBYrBBofPr0ONPgW55+tZgF0dvb2zx8+HCyuroaXF1dobq6Gurq6sBkMsHo0aMpkiSJcePGwUsvvURu3LhRn5+fjz3q6E+BoqhsgiAi16xZo6DRaODu7m6ura0lDx8+vK5///7LPv30U52Xl1e7CQyXyzX7+PiQAABvvvkm02g0nheLxSNYLJZJq9U+1mcr5s2bB8HBwS2eWhuNRjh9+jTQ6XQwGAxAEAQwmUxgsVhQU1ND2drakkwmE/Lz82lFRUUAAH88zvYR6myYgKHnTl5eXr81a9YMAoBfExISGBRFNRAEQYwcOfKtmJiYnV999ZXV8k3fF1EoFFBfXx9169YtI0EQo3/66acNUqnUIygoyOXdd9/V2dnZtfrOWXORkZGQkpLS5vqRI0e2W4dAIDBrtdrLHdkeQs8LiqK2EwShBIDE+5Pe1FIURREEsR0A7kA7SVTTHu/8/Hwbs9m8NT09fQNBEEIA2AYAvQHAHQD0ANChCQXgfzdxLd5F0Wg0MGDAgLbKPfi9jY0N4ebmVtDB7SH0XKAoSkkQRE8A0AJAEQBoKIoyEQTxUWRk5E/ff//9oB49eliNMyaTSQE0Dv/Lysoi6urqRhIEwQKAf0HjawXu8IhPoi5cuAA9e/Zs8fiLTqcDRVEUg8EgGIz/9eXo9XqwtbV96Pf3J5opfpTtIvS0YAKGnjsURakB4PT9fxruL6MA4GsnJydTjx49vpk5c6bx5s2bxgsXLtjevn279v3337e1t7enCIKg29nZEXV1je+wBgUFwY0bN3wBIJ+iqDMAcAYAgCAI1+rq6uLY2Fi12WymEwQBAoGgzdnd7OzsQKfTEWlpaeDg4ABeXl5my8m/o8Ot7n+apbM/EItQt6Mo6nQry+QEQYgAIB0aZ+LTAIAdNL5gbgeNT6doRqOR1Gg0YGtrCwEBAUCSJPN+eQUAjAF4MLPbrwAwCAB00BhHtmD96VjTp18P/rdarSb1er3ZxsamI2OdMF7Rnw5FUS2mKKQoqo4giBErV668tHXr1r6Ojo5UUlIS/cqVK5StrS1t6dKl1PXr12mDBg2C6upqmru7OzAYDKJPnz6l98troTEB+9f975DNhsYOFC00PgWnQeOQ3lYpFApzfHw8aTAYwNHRsXmnZkfj8Gl8hB2hx4IJGPpTqa6u3k0QRNm77747qrKy8io0JmpVubm5PxoMBnpZWVkWi8XqrVarq0mStLG1taUBQHXzeiiKqqDT6aM2b94sNZvNBldX1+kXL17sL5VK2+y1a3pBSEtLI+vr66GmpgYGDRrUoWFS98fY43Am9JdBUVT+/d72JQBQCABxAJADAHOhcWbNXWazOXLt2rUsk8mkcnV15QLA763UYyYI4m8A8Co0JnKBAPBOO5t/cCNGo9EIs9kMkZGRMGjQIKqDyZdl4hGE/hLuP7l+afz48bEkSbo0NDTEAcANAPDOz8//JTk5+TsfHx9/g8EQoNVqs9hstpfRaLzdRj37oTHhMkHjE2mrHxQ2GAzkmTNnAKCxs1Kn00FgYCDI5XKwt7fvaPtx0hz0zMDvgCHUAQRBMKKiou5Onz7d95tvvlG/9dZbNn379jUJBIKHzvxJSUkQFhZG0Wg0oqamhvL09Oxwb5tOpzPa2dmtNJlMX3b+HiD010IQxBcAsAIan5LTAKAeGp+KPeh4HDx4MLz88suUs7MzUVlZCW5ubo+0jV27dmWnpKQEd2KzEfpLIgiiDzQmcwCNT8VM0BirD56K2dnZUQMGDCAcHBwonU5HsFgsy8iRDrl3715DSkpKyP1p3RHqVvgEDKEOoCjKwGQy56enp7+anZ395tmzZ/sAwIuzZ8/+MjY21lRZWUkLDg6GgQMHAtzvWbe1tX2koQ5MJpMuEAhCn0LzEforWgcAAQDwHjROuhEGAD86ODhQAQEBxKhRo0AgEADcj9dHTb4AABwdHb07r7kI/XVRFHWTIIivoPEJ9wkA6AcAn5Mk2cvV1ZXi8/kEj8ej6HQ6AQCEra3tI2/DwcFBD43nBEzAULfDBAyhDtLpdKfhf++eXScIIj8wMPCLHj16PNasTq2ZNGnSazweT1lcXLyqs+pE6K+IoigVAExpsigvODj49t///vfwR5nK2hqJRGLj6el5WqVSzaIoqqxTKkXoL4qiqGVN/nmOJEnRyJEjN9jb21tm13iiwGWz2Ux3d/e9NBptrslkOv8kdSH0pPA7YAg9Ppv09HTq+++/bzAajWadTmfOy8t7rIqqqqr0tbW1+vXr19vMmzfvQ4IgpJ3cVoT+8rRabUNSUhKlVqs1AAAlJSWPVY9erzdotVq9WCwm58yZM4rJZLb3vhlC6BERBKEpKipiVFZW1gMAqNXqx65Lp9PpSJKkDx48mO/g4LCv0xqJ0GPCd8AQegL3p9YNGzBgwKbo6Oh+w4cPh549e4LZbDYbjUZzTk6OLjg4mNnat8k0Go1BJpNRc+bMMZSWll4sLy8v+vTTT+c5ODhATEzM50aj8f1u2CWE/rTuz77Gd3BweLdPnz6LQkNDISQkBAAaJ8EpLS2td3V1tWEymS2m2TY2gl27dtHLysqSy8vLr4SEhCwYMmQIOz4+vrKoqMi1q/cHoT87giCcSZKcwOVyd3l5edF9fHyMNBqNTlEUpdPpNBRFga2tbYsZiimKosxmsyk3N5deWFiYoVarb9rY2Ih69eo1oKSkBO7duxdAUdTj9Zgi1AkwAUOok/Tq1evi77///qLBYDCPGDHi3vXr1/fpdLrinj17zpk6dWr/f/7znw9+u3HjRli5cuU2JpOZV1VVte7+NPpAEEQvaHwnRXZ/2l6E0FNAEMTcVatWbeZyuXanT5+mzpw584XRaMyzs7Mb2Ldv39dffvllg5OTExMAoKSkxLRp06Z8k8n0c319/VqKosrv1+EJAGIAuENRVEV37g9Cf2YEQTgGBwdXSSQSUq1WGy5cuPAzRVGJZrOZ5eXltcDPz8+by+UCQGPydfnyZUKtVm81Go3fmc3my/froANAJABkA4CSwhtg1I0wAUOokxAE0XPs2LHfq1QqZUpKymKKorKbrAt/9dVXrw4ZMoSVkZEB+fn5cPbsWVtMshDqHgRB2AoEgp8cHBy4crn8U6PReLjJOjsej3d+1KhR/dPT08HR0RHOnz//KkVRR7uzzQj9lTGZzBUeHh4Ly8vLz2i12n9QFGUEaHyyTZJkrEQi+a9WqwU6nQ737t1LqK+vj+zuNiPUFkzAEOoiBEGwAcAfAO4AAJOiKE03Nwkh1AaCIGgAIAWAu9DYqd7QzU1CCFlBEIQvNM5tUAKNMWvo5iYh1CZMwBBCCCGEEEKoi+AsiAghhBBCCCHURTABQwghhBBCCKEuggkYQgghhBBCCHURTMAQQgghhBBCqItgAoYQQgghhBBCXQQTMIQQQgghhBDqIpiAIYQQQgghhFAXwQQMIYQQQgghhLoIJmAIIYQQQggh1EUwAUMIIYQQQgihLoIJGEIIIYQQQgh1EUzAEEIIIYQQQqiLYAKGEEIIIYQQQl0EEzCEEEIIIYQQ6iKYgCGEEEIIIYRQF8EEDCGEEEIIIYS6CCZgCCGEEEIIIdRFMAFDCCGEEEIIoS6CCRhCCCGEEEIIdRFMwBBCCCGEEEKoi2AChhBCCCGEEEJdBBMwhBBCCCGEEOoimIAhhBBCCCGEUBfBBAwhhBBCCCGEuggmYAghhBBCCCHURTABQwghhBBCCKEuQu/uBqBnX0pKigedTv8GAEIBk3bUkhkA0o1G41u9e/f+o7sbgxph3KJWYKz+yWHcPzMw1pBVmIChdtHp9G88PT1D3N3dq0iSpLq7PejZYjabibKyMklpaek3APBKd7cHNcK4Rc1hrP75Ydw/GzDWUHuwdwR1RKi7u7saT+aoNSRJUu7u7jXQ2OOKnh0Yt+ghGKt/CRj3zwCMNdQeTMBQR5B4MkfW3D8+8HzybMG4RS1grP7pYdw/IzDWkDV4YKCngQYAbgDgdf+/aZ1Z+QsvvBAsFApDxWKxRCwWS4qKiugAADk5OTb9+vUThYSESEQikeTIkSMcS5kFCxb4BAYGSv39/aWzZ8/2NZvNAADw6quvCoKDgyUikUgyevRo/5qamlZjYvPmza4CgSBUIBCEbt682dWyXC6X24SFhYkFAkHouHHj/LVaLdFe+4cMGRLEZrN7Dh8+PLDp8rbacvDgQSeRSCQRi8WS0NDQkLNnzzo0LWc0GiEkJETStL7Y2Fieh4dHmOVv1PRv0dSaNWs8AgMDpUFBQdIJEyb4NTQ0EAAAKpWKNnDgwCCBQBA6cODAoLKysk79/xA9k55q3P7973/39vT0DLOzs+vVdPkXX3zhbjm+e/fuHZySksKyrMvJybEZNGhQkL+/vzQgIECalZVlAwAQFxfHlkgkIZYy6enpzNa22Zlx25S3t3ePpjHZfP2qVau4BEH0LikpoQMA6HQ6IioqSigSiST+/v7SDz74wNPy2x07driIRCKJSCSSDBkyJMhSpqkff/zRUSqVhohEIolUKg356aef2JZ1ly9fthOJRBI+nx/a9NyGUAd1S9w398EHH3jy+fxQoVAY+sMPPzhalj/q8V1aWkrr16+fyM7OrtesWbP4luVVVVWk5XooFoslzs7O4XPnzvVtXt5arGKsoc6ECRjqbJ4AEAYAAgDg3f/vsPvLO83+/fvz5HK5TC6Xy7y9vY0AAKtWrfKKioqqyszMlB0+fDgvNjaWDwBw7tw5++vXrzvI5fKM7OzsjNu3b9ufOnWKDQCwffv2gqysLFl2drbMx8dH//nnn3s035ZKpaJ9/vnnvOvXr2fevHkz8/PPP+dZEpLY2FifJUuWqJRKZTqHwzFu3LjRrb22v/POO6U7duzIb768rbZMmDBBbdnXXbt2KRYsWCBoWm7t2rXcwMBATfP6FixYoLKUmzZtWk3z9fn5+YydO3dyb9++LcvJyckwmUzEN9984wIAsHr1aq9hw4bVKpXK9GHDhtWuWrWqU///Q8+cpx63kyZNqr527Vpm8+VvvfVWRXZ2tkwul8tiY2NLly5d+uCmaObMmX7vvPOOKi8vL+PWrVuZPB7PCAAQExMjOHjwYL5cLpdFR0dXrl692qt5vZ0dt81dvHgxWy6Xy9LT0x/ap9zcXMZvv/3m6OXlpbcs27Nnj7Neryezs7Nlqampmfv373fPysqyMRgM8MEHH/hevHgxOzs7WyaVSjVffvlli3OQh4eH4eeff87Nzs6W7d27N/+tt97ys6xbtGiRYOvWrUqFQpGel5fHOnbsmGPz8gi1odvivqmUlBTW8ePHXbKysjLOnDmTvXTpUr7RaASARz++7ezsqI8//rj4o48+Kmy63NnZ2Wy5HsrlchmPx9NHR0dXNS/fVqw+TlsQsgYTMNSZPAHAG1oeV+T95U/1Jp4gCFCr1TQAgKqqKpqHh4fBslyn0xFarZbQaDSk0WgkeDyeAQDAxcXFDABgNptBo9GQBNGyI/zEiROcF198Uc3lck3u7u6mF198UX38+HGO2WyG5ORk9pw5c6oAAObOnVsRHx/v1F47J06cWOvo6Nii66yttnA4HDNJNv5Ja2trH2rj3bt3GWfPnuXMmzev/JH+WPeZTCaivr6eNBgMoNFoSB8fHwMAwJkzZ5zmz59fAQAwf/78itOnTzs/Tv3oudAlcTtixIh6gUBgaL7cctwDANTV1dEsx3dKSgrLZDLB5MmT1QCNccBmsx/8trq6mgYAUFNTQ/Py8mpRb2fHbUctWbLE98svvyxsGqcEQUBDQwNpMBigvr6eYDAYlJOTk8lsNhMURUFtbS1pNptBrVaTPB5P37zOQYMGaYRCoQEAoHfv3lq9Xk9qNBpCqVQy6urqyJEjR9aTJAkzZ86sOHHiBMYq6ohujfumjh075hQVFVVpa2tLicVivUAg0F24cMH+cY5vR0dH86hRo+pYLFabj6fu3LnDrKioYIwaNaqu+bq2YhVjDXU2TMBQZ6FB4xAGa7ygk465t956SygWiyUrVqzwsgwD+PTTT4uPHj3qwuVyw6KiooI2bdp0DwBg5MiR9YMGDar18vIK5/F4YcOHD1dHRERoLXVNnTpV6O7uHp6bm8t6//33W0wXW1RUxPDx8XlwU+Tt7a0vKipiqFQqOpvNNjEYDAAAEAqFepVKZfMk+9VWW/bv3+/k5+cnnTJlStDOnTsVluWLFy/2/eKLLwotCVpTu3bt8hCJRJLo6Ghha0MI/fz8DIsXLy718/ML8/DwCGez2aaoqCg1AEBFRQXdctEUCASGyspKnDH1z6lL47Ytn376qbuvr2/o6tWrfbZs2XIPAEAmk7EcHR1NL7/8ckBISIhk/vz5PpZe8e3btyuioqKCuFxu2Pfff+/68ccflzSv82nH7YgRI4KkUmnIf//73wdPzw4dOsTx8vIyDBgw4KEn0rNnz66ys7Mze3h4hPv5+YUtWbKklMvlmphMJrV+/fp7ERERUi6XG5adnW27dOlSq50p+/btc5ZIJA22traUUqlkNE0+BQKBvqSkhPGo+4L+cp6JuLcoKiqy8fX1fRCrPB5PX1BQYPO0ju99+/a5vPLKK5WtXTfbilWMNdTZMAFDncUZ2j+eyPu/eyJHjhzJy87OliUnJ8uTkpIctm7d6goAsGfPHpfp06dXqFSqtOPHj+fMnj3bz2QyQXp6OjM7O5tVWFiYVlhYmHb58mX26dOnH7xHdezYMYVKpUoNCgrS7t69u0X7KKrl+8wEQbS1/Ilefm6rLbNmzarOz8/P+O6773JXrVrlDQBw+PBhjpubm3HIkCENzetZtmzZH0ql8k5mZqbM09PTsGjRohZj3cvKymg///yzU25u7p3S0tK0hoYGcuvWrS5P0n703OmyuLXmgw8+KCsoKEj/6KOPCi3DCY1GI3Hz5k2Hr776qiAtLU2mUCiYmzdvdgMAWL9+Pff48eM5KpUqbcaMGeULFy5scXw/zbhNTEyUy2SyzF9++SXn66+/9jh9+rRDbW0t+fnnn3v997//LW7++4sXL9qRJEmVlpam5ebm3vm///s/T5lMZqPT6YidO3e6X7t2TaZSqdIkEolm5cqVbd4Y37x5k7Vq1Srvr7/+WmltHxFqxzMR9xZtxeTTOr5//PFHl9dff72ytXVtxSrGGupsmIChztLRnqAn7jHy8/MzADSO6Z42bVrl9evX7QEADh486GY5qY4cObJep9ORpaWl9CNHjjj17du3nsPhmDkcjnnkyJE1iYmJ9k3rpNPpMH369MrWhhT4+PgYCgsLH/SQFxUV2fB4PIOnp6extraWZjA0doopFAoby7DHJ2GtLWPGjKlTKpXMkpIS+pUrVxzOnTvn5O3t3WP27Nn+V69eZU+cONEPAMDX19dIp9OBRqPBkiVLym7fvm3fvK74+HhHPp+v4/F4RiaTSU2aNKk6KSnJAQDA1dXVqFQqGQAASqWS4eLiYnzS/ULPpC6L246YN29e5blz55wAAPh8vj4kJEQjkUj0DAYDXnnllapbt27ZFRcX0zMzM20jIyPrAQBmzZpVdfPmTYfmdT3NuLUMB/T29jaOGzeuOjk52T4zM5NZWFjIDAsLk3h7e/dQqVQ2ERERIffu3aMfOHDAddSoUTVMJpPy9vY29u3bty4pKcn+6tWrtgAAUqlUR5IkTJ8+vfLatWstYhWgcbjx1KlTA3ft2pUvlUp1lnY07YVXKpU2np6eT3wOQn96z1Tc+/j46AsKCh7EanFxsY2Pj4/haRzfycnJtiaTiWit4xIAoK1YxVhDnQ0TMNRZOnoieqITlsFggKYzi506dYoTGhqqAWgctnDq1ClHAIBbt26x9Ho94eXlZeTz+frExES2wWAAnU5HJCYmsiUSidZsNoNl9jSz2QxxcXFOQUFB2ubbnDRpUs3Fixcdy8rKaGVlZbSLFy86Tpo0qYYkSejfv3/tnj17nAEAdu/e7Tp+/PhqAICEhAS7yZMnCzu6X9bakp6ezrQMs7xy5YqdwWAguFyuccuWLUUqlSqtqKjozt69e/P69+9fGxcXlw/QmDRZ6v7uu++cgoODW0zSIRQK9bdu3XKwvH/y22+/sUNCQrQAAKNGjaresWOHKwDAjh07XEePHl3d0X1Bz5UuiVtr7ty582AGwyNHjnAEAoEOAGDo0KH1NTU1tOLiYjoAQEJCgqNEItG4u7sb6+rqaGlpaUwAgJMnTzoGBgZ2Wdyq1WqyqqqKtPzvhIQEx7CwMM0LL7ygqaysTC0qKrpTVFR0h8vl6m/dupXJ5/ONfD5fn5CQ4Gh5z+vWrVv2PXr00AoEAkNubi7Lso9nzpxxFIlELfalvLycNnbs2KCPPvqo8OWXX663LBcIBAZ7e3vz+fPn7c1mMxw6dMh14sSJ1Y/4fwH66+n2uG9qypQp1cePH3fRaDSEXC63USgUrGHDhtVbO77379/vtHjxYu9H3daBAwdcJk+e3OrTL4DGjp+2YhVjDXUmfK8DdZYqAPAF60m9+f7vHptGoyFHjhwZZDAYCLPZTAwZMkQdGxtbBgCwYcOGgnnz5gm3bNnCJQgCtm/friBJEubMmVOVkJDgGBwcLCUIAoYPH14zY8aMGpPJBLNmzfKrq6sjKYoiQkJCGvbu3asEALh06ZLdli1b3I8cOaLkcrmmFStWFPfu3TsEAODdd98t5nK5JgCAdevWFU6bNi1g7dq13lKptCEmJqYcAEChUDBtbW1bHdbUu3fv4Ly8PJZGo6FxudywrVu3KiZNmqRuqy2HDx92PnLkiCudTqdYLJb5wIEDea2NXW8qJibGRyaT2QI09i7u2bNHeb9djDfeeENw8eLF3MjIyPoJEyZUhYWFhdDpdJBKpQ2Wv+WaNWtKJk+eHCAQCNx4PJ7+xIkTd5/k/zf0zOqSuAVo/BTEjz/+6KLVakkulxs2c+bM8vXr1xevX7/e4/Lly450Op3icDjGvXv35gM0Pgn+7LPPCocNGyYCAOjRo0fDsmXLyhkMBmzcuFE5derUAIIggMPhmCxlnmbcWhQWFtInT54cCNA4ic2UKVMqpk6dqrZW5t133/3jtddeE4pEIilFUTBjxozyfv36aQAAVqxYUTJ48OBgOp1O+fj46L/99tt8gMb3yW7cuGH/1VdfFX/xxRce9+7dY3722We8zz77jAcAcP78+Wxvb2/j1q1blW+++aafVqslhg8fro6Ojm4x4ylCzXR73Dc9vvv06aOdNGlSpUgkktJoNFi/fr2STm+8PW3r+M7NzWU6OjqaWtumt7d3j7q6OprBYCDOnj3rdOrUqezevXtrAQB++uknl/j4+Jymv2/aFmuxirGGOhPR2rhWhJpKTU1VhIeHd2SWPcusSm0pAoDSzmnVs23+/Pk+c+fOrbCcuP8KUlNT3cLDw4Xd3Q7UCOP20f1V4hZj9c/rrxL3EydO9Nu2bVuB5dMUzyqMNdQWfAKGOpPlZN189iQzAJTAM3wy72w7duwobP9XCD0TMG7vw7hFfyHPddxbhtsj9LzCBAx1tlIA+AMaZ09iQOMY8ipoPKkjhJ5NGLcI/fVg3CPUTTABQ0+DGQAqursRCKFHgnGL0F8Pxj1C3QBnQUQIIYQQQgihLoIJGEIIIYQQQgh1EUzAEEIIIYQQQqiLYAKGOp3JZKJVVVW5lZWVeVVVVbmZTCbak9YZHR0tdHFxCQ8KCpI2XR4TE8MTiUQSsVgsGTRoUJBCoWAANH5QVSwWS8RisSQ4OFiyf/9+p+Z1RkZGBjatb9OmTa7Ozs7hlnLr1693a60tO3bscBGJRBKRSCQZMmRIkOXD0BqNhhg3bpw/n88PDQsLE2dlZdm0t19///vfvT09PcPs7Ox6NV3+5ptv+lraIRQKQ9lsdk8AgPj4eLZluVgsljCZzIgDBw44AQDI5XKbsLAwsUAgCB03bpy/VqslAAAqKipokZGRgcHBwZLAwEDpxo0bXVtrS1vlzWYzzJ4925fP54eKRCLJlStX7NrbL/T8eRpx29QLL7wQLBQKQy3HblFR0UPvIO/Zs8eZIIjely5denB8LViwwCcwMFDq7+8vnT17tq/lg+RxcXFsiUQSIhaLJb179w62fMS8qaSkJNuePXuKAwMDpSKRSPL11187W9a1dax3VHl5OW306NH+fn5+Un9/f+mvv/5qb9lmeHi4WCwWS0JDQ0MSEhLsAAC0Wi0xdepUoUgkkgQHB0tOnjzJttR1+fJlO5FIJOHz+aFN97G5a9euPbQ/DQ0NxKOUR6g1XXm9HjdunL8l/r29vXuIxWJJa+XXrFnjERgYKA0KCpJOmDDBz3Ksq1Qq2sCBA4MEAkHowIEDg8rKyqy2taGhgejRo0eI5dq3bNkynmVdbGwsz8PDI8zSniNHjnBaq+PYsWOOQqEwlM/nh65cudLTsvxR24JQc5iAoU5VVlbmmZeXF1ZWViaoqqrilZWVCe7/27P90m2bO3du+U8//ZTTfPnq1atLs7OzZXK5XDZmzJialStXegEA9OnTR3vnzh2ZXC6X/fLLLzlLly4VGAyGB+X27dvnZG9v3+IjjhMmTKiSy+UyuVwui42NbfEtFYPBAB988IHvxYsXs7Ozs2VSqVTz5ZdfegAAbNy40Y3D4Rjv3buXvmTJElVsbKxPe/s1adKk6mvXrmU2X75r164CSzvmzZv3x+jRo6vvt6/WsvzixYtZLBbLPGnSJDUAQGxsrM+SJUtUSqUyncPhGDdu3OgGAPDll1+6BwcHa7KysmSXLl3KWrVqlW9rN5xtlT969CgnLy+PpVAo0rdt26ZctGgRv739Qs+XpxW3ze3fvz/Pcvx6e3s/+H5PVVUVuWXLFo+wsLB6y7Jz587ZX79+3UEul2dkZ2dn3L592/7UqVNsAICYmBjBwYMH8+VyuSw6Orpy9erVXs235eDgYD5w4EB+bm5uxi+//JKzcuVK3/LychpA28d6R7399tu+L7/8sjo/Pz9DJpPJevbsqQUAWLFihc8///nPYrlcLvvwww+L33vvPV8AgA0bNrgBAGRnZ8t+++237Pfee8/HZGo8/SxatEiwdetWpUKhSM/Ly2MdO3bMsfn2DAYDvP76637btm1T5ubmZly6dCnLxsaG6mh5hFrT1dfrn3/++UH8jx07tmr8+PEtPvScn5/P2LlzJ/f27duynJycDJPJRHzzzTcuAACrV6/2GjZsWK1SqUwfNmxY7apVq6y2k8ViUVeuXMnKysqSZWRkyM6fP+94/vx5e8v6BQsWqCztmTZtWouPKhuNRli2bBn/1KlT2dnZ2Rk//PCDS0pKCutx2oJQc5iAoU5TVlbmWVVV5U1R1EPHFUVRZFVVlfeTnNTHjBlT5+7u3uKDiy4uLg+6e+vr60mCaMwr2Gy2mcFgAEDjkynLcgCAmpoactOmTdyPPvqo5FHbYTabCYqioLa2ljSbzaBWq0kej6cHADh58qTT3LlzKwAA5syZU5WUlMRurzd6xIgR9QKBwGDtN8eOHXOZMWNGZfPlBw4ccB46dGgNm802m81mSE5OZs+ZM6cKAGDu3LkV8fHxTgAABEFAbW0tzdJeDodjZDAYD32B3Vr5uLg4p5kzZ1aQJAkjRoyoV6vVdKVSyejgnww9455m3HbU8uXLvZcvX17KZDIfHJcEQYBOpyO0Wi2h0WhIo9FI8Hi8B7FSXV1NAwCoqamheXl5tYihsLAwXY8ePXQAAEKh0ODi4mIsKSmhWzvWO6KyspK8du0ae+nSpeUAjTd5bm5uJkuba2pqaJb2cblcPQCATCazjYyMVAMAeHt7Gx0dHU2XLl2yUyqVjLq6OnLkyJH1JEnCzJkzK06cOOHcfJvHjx/nhISEaAYMGKABAPD09DTR6XToaHmEmuuO67WF2WyG+Ph4lzfeeKPFdQ0AwGQyEfX19aTBYACNRkP6+PgYAADOnDnjNH/+/AoAgPnz51ecPn3a6rFOkiRwOBwzAIBeryeMRuND9wLtuXDhgr1AINBJJBI9i8WioqKiKo8dO+b0OG1BqDlMwFCnMJlMtOrq6ha90E1VV1d7mUymTj/mLMP4jh075vrll18WW5b/9ttv9oGBgdKIiAjphg0blJaELDY21jsmJkbl4ODQIjs6ffq0k0gkkowePdo/Nze3RZLBZDKp9evX34uIiJByudyw7OxsW8uNmEqlsvHz89MDADAYDHBwcDCpVKon+tRDdna2TWFhoc2ECRPUzdcdO3bMZfr06ZX3t01ns9kmyz4KhUK9SqWyAQB49913/8jJyWFxudywiIgI6RdffFFAoz08WsJa+ZKSEoZQKNRbfuvl5aXHBOzPoavj9q233hKKxWLJihUrvCydE4mJibZFRUU206dPf6gHeuTIkfWDBg2q9fLyCufxeGHDhw9XR0REaAEAtm/froiKigricrlh33//vevHH39stTMlISHBzmAwEBKJRGftWO8IuVzOdHFxMUZHRwtDQkIk06ZNE6jVahIAYNOmTQWrVq3y8fT0DPvwww991q1bVwQAEB4e3hAfH+9kMBhALpfbpKen2ymVShulUslomjwKBAJ9SUlJi9jKyspiEgQBgwcPDpJIJCH/+te/uAAAHS2PUFPdeb0GADh79qyDm5ubwdJB0pSfn59h8eLFpX5+fmEeHh7hbDbbFBUVpQYAqKiooFs6LAUCgaGysrLd66vRaASxWCzhcrnhQ4cOVUdGRj54yr5r1y4PkUgkiY6OFrY2hLCgoMDG29v7wbXPx8dHX1RUZPO4bUGoKUzAUKdQq9XOzXvSmqMoilSr1Z3eS7R58+ai0tLStKlTp1ZYhgMCAERGRtbn5uZmXLlyJfPLL7/0amhoIJKSkmzz8/OZs2bNqm5ez6uvvlp97969O9nZ2bLIyMjav/3tb37Nf6PT6YidO3e6X7t2TaZSqdIkEonGMuyRoqjmPweCIFoufAT79u1zGTt2bBWd/vC5XalUMrKysmwtFyZr2z5x4gQnNDRUo1Kp0q5fvy5bvnw5v7KysnmvZ5vl21j3+DuFnhldGbdHjhzJy87OliUnJ8uTkpIctm7d6moymWDZsmX8TZs2FTT/fXp6OjM7O5tVWFiYVlhYmHb58mX26dOnHQAA1q9fzz1+/HiOSqVKmzFjRvnChQt929quUqlkzJkzx//rr79W0Gi0J45To9FIZGZm2i1evLgsMzNTZmdnZ/7www89AQA2bdrk/umnnxaUlpamffLJJwWzZ88WAgDExMSU83g8Q48ePSSLFy/2jYiIqKPT6R2OLaPRSNy4ccPh6NGj+deuXcs6efKkc1xcHBtjEz2O7rxeAwAcPHjQZcqUKa0+/SorK6P9/PPPTrm5uXdKS0vTGhoayK1bt7o87rbodDrI5XLZvXv30m7dumV/48YNFgDAsmXL/lAqlXcyMzNlnp6ehkWLFrU4hzyNazpCFpiAoU5hNBo71Ova0d89jjlz5lSePHmyxQUjIiJCa2dnZ7p586bt5cuXHdLT0+28vb17vPjii2KFQsF84YUXggEah/XY2tpSAACxsbFlGRkZLSabuHr1qi0AgFQq1ZEkCdOnT6+8du2a/f3y+vz8fBuAxnc26urqaB4eHi3eM3sUx48fd/nb3/7W4kK1f/9+59GjR1dbhmx5enoaa2traZb33BQKhY2Hh4cBAGDfvn2u0dHRVSRJQmhoqM7X11eXmprKalqftfI8Hs+gUCgePCEoKSmx4fP5VodNoudDV8atn5+fAQDA2dnZPG3atMrr16/bV1dX03JycliRkZHB3t7ePVJTU+2nTp0aeOnSJbsjR4449e3bt57D4Zg5HI555MiRNYmJifbFxcX0zMxMW0tP9qxZs6pu3rzp0No2KysryTFjxgSuWrWqaMSIEfUA1o/1jhAKhXoul6u3bH/atGlVqampdgAAP/zwg6ulc2fu3LlVaWlp9gCNT8Qt73WeP3/+rlqtpoeEhGiFQqGh6RMrpVJp4+np2aItPj4++v79+9d6eXkZ2Wy2+aWXXqq5efOmXUfLI9RUd16vDQYDnDlzxnnWrFmtJmDx8fGOfD5fx+PxjEwmk5o0aVJ1UlKSAwCAq6ur0TL6QqlUMlxcXNoc5ticm5ubafDgwbXx8fEcAABfX18jnU4HGo0GS5YsKbt9+7Z98zJ8Pv/BEy8AgMLCQhvLMOgnaQtCAJiAoU5Cp9M7dNHv6O866s6dOw9mPzt69KhTQECABqBxljPLDVZ2drZNfn4+KygoSP/ee++V/fHHH2lFRUV3Ll26JBcKhbrr169nATSeRC11ffvtt07+/v7a5tsTCASG3NxcVnFxMR0A4MyZM44ikUgLADBu3Ljq3bt3uwI0zug2YMCAWpJsDDE/Pz9p87rak5qaylSr1TTLjWNTzd8LI0kS+vfvX7tnzx5nAIDdu3e7jh8/vhoAwNvbW//LL784AgAUFBTQ8/LyWGKxWN+0PmvlX3nllepDhw65ms1mOH/+vD2bzTa1994aej50VdwaDAawzBaq0+mIU6dOcUJDQzWurq6mqqqq1KKiojtFRUV3wsPD648dO5b74osvNvD5fH1iYiLbYDCATqcjEhMT2RKJROvu7m6sq6ujpaWlMQEATp486RgYGNgiVrVaLTFu3LjA1157rWLu3LkPXva3dqwnJCTYTZ48WWhtX/h8vtHT01OfmprKBAD45ZdfHIODg7UAAO7u7gbLRCHx8fFsgUCgBQCora0lLcMUf/zxR0cajUb17t1bKxAIDPb29ubz58/bm81mOHTokOvEiROrm29z8uTJ6szMTNva2lrSYDBAYmIiWyqVdrg8Qk111/UaACAuLs7R399fGxAQ0GrdQqFQf+vWLQfLe9a//fYbOyQkRAsAMGrUqOodO3a4AgDs2LHD1TI5VX5+PmPAgAGi5nUVFxfTLRPv1NXVERcuXHC01NX0ev/dd985BQcHa5qXHzp0aL1CoWDJ5XIbrVZLHD9+3GXKlCnV1tqCUEfhmFXUKRwdHavKy8t9rQ1rIAjC7Ojo2GLWo46YMGGC39WrV9lVVVV0Lpcb9v777xcvW7as/J133vHJy8tjEQRB+fj46Hft2qUEADh//rzD+PHjveh0OkWSJLVu3bp7Xl5eVnuovvjiC4+zZ8860Wg0ysnJybh3716FZZ1YLJbI5XKZUCg0rFixomTw4MHBdDqd8vHx0X/77bf5AI3DjKZMmeLH5/NDORyO6ciRI3cBAEpKSugURbU6LmjBggU+P/74o4tWqyW5XG7YzJkzy9evX18M0PjkauLEiZWWJM4iKyvLpqSkxGbs2LG1TZevW7eucNq0aQFr1671lkqlDTExMeUAAP/5z39KZs6cKRSJRBKKooiPPvqo0PK3GDp0aOC+ffuUQqHQ0Fb5V199tebnn3/mCASCUFtbW/M333yjAPSn8LTj1kKj0ZAjR44MMhgMhNlsJoYMGaKOjY0ts1Zmzpw5VQkJCY7BwcFSgiBg+PDhNTNmzKgBANi4caNy6tSpAQRBAIfDMe3duzcfAODSpUt2W7ZscT9y5Ihy9+7dzjdu3HCoqqqif/vtt24AALt3784fOHCgpq1jXaFQMC1Pwa3ZvHnzvZkzZ/rr9XqCz+frDh8+rAAA2LZtmzI2NtZ3+fLlBJPJNG/fvl0J0HgjOGrUKBFJkpSnp6fBcs4AANi6davyzTff9NNqtcTw4cPV0dHRNQAAhw4d4ty4ccP+q6++KnZ3dzctWbJE1atXrxCCIGDEiBE1r732Wo218gi1pbuu1wAAhw8fdomOjn7o6ZdCoWC88cYbgosXL+ZGRkbWT5gwoSosLCyETqeDVCptsJwr1qxZUzJ58uQAgUDgxuPx9CdOnLgLAFBQUMCg0Wgt4ragoIAxe/ZsP5PJBBRFERMnTqy0vGsaExPjI5PJbAEanzDv2bNH2bwtDAYD1q1bd2/06NEik8kEM2bMKO/Tp4/WWlsQ6iiitTGuCDWVmpqqCA8PbzEle3OWWZXaWu/s7Fzk7u5e2rmte/YdPnyYc/fuXea//vWvP7q7LU9TamqqW3h4uLC724EaYdw+uvnz5/vMnTu3ol+/fi16w/9MMFb/vP6Kcf/JJ5+4CwQC/cyZM5+5zgeMNdQWfAKGOo3lZF1dXe3VtGeNIAizk5NTyfNyMu9szWd3Q+hZgnH7Pzt27Cjs7jYg1BX+THG/cuVKq0/TEXoWYQKGOpW7u3upi4vLH2q12tloNDLodLrB0dGxikajWf8gFkKo22DcIvTXg3GPUPfBBAx1OhqNZnZ2dq7o7nYghDoO4xahvx6Me4S6B86CiBBCCCGEEEJdBBMwhBBCCCGEEOoimIAhhBBCCCGEUBfBBAx1Oq1WS0tNTXVLSkrySk1NddNqtbQnrTM6Olro4uISHhQU9NAHjceNG+cvFoslYrFY4u3t3UMsFksAALZt2+ZiWS4WiyUkSfZOSkqyBQC4fPmynUgkkvD5/NDZs2f7ms2N7xvn5OTY9OvXTxQSEiIRiUSSI0eOcFprS1vlNRoNMW7cOH8+nx8aFhYmzsrKsrG2T7W1teSwYcMC/fz8pIGBgdJFixY9mBL49OnTDhKJJIROp/e2fDC2qcrKStLDwyNs1qxZfMuyKVOmCC1/A7FYLLHsr8XFixftaDRaq/UBAMTFxbElEkmIWCyW9O7dOzg9PZ0JAGA2m2H27Nm+fD4/VCQSSa5cuWJnbb/Q8+lpxG2z+onp06cLhEJhqJ+fn3Tv3r1OANbjbuHChd5BQUHSoKAg6ddff/3guJXL5TZhYWFigUAQOm7cOH+tVtvqd/ZycnJsBg0aFOTv7y8NCAiQWmKyo+XbsmbNGo/AwEBpUFCQdMKECX4NDQ0EAMDu3budAwMDpSRJ9r506dKDONFqtcTUqVOFIpFIEhwcLDl58iTbsm7Hjh0uIpFIIhKJJEOGDAmyfLC6KZ1OR0RFRQlFIpHE399f+sEHH3ha1rV1PkKoIzo77hsaGogePXqEBAcHSwIDA6XLli3jWdbFxsbyPDw8wizXqLausceOHXMUCoWhfD4/dOXKlQ+OdZVKRRs4cGCQQCAIHThwYFBZWVmH2mo0GiEkJEQyfPjwQMuy5ORk2549e4pFIpEkMjIysLKyss374dbKP25bELLABAx1quTkZM99+/aFJSYmCm7fvs1LTEwU7Nu3Lyw5Odmz/dJtmzt3bvlPP/2U03z5zz//nCeXy2VyuVw2duzYqvHjx1cBACxcuLDSsnz//v35PB5PP3DgQA0AwKJFiwRbt25VKhSK9Ly8PNaxY8ccAQBWrVrlFRUVVZWZmSk7fPhwXmxsLL/59qyV37hxoxuHwzHeu3cvfcmSJarY2Fif9vZr+fLlqvz8/Iz09HTZtWvXHL7//ntHAAB/f3/9nj17FBMmTGj15ejly5d79+vXr7b58rVr1xZa9tuyvwCNF5D33nvPZ/DgwW1OiR8TEyM4ePBgvlwul0VHR1euXr3aCwDg6NGjnLy8PJZCoUjftm2bctGiRa3+XdDz62nFbVMffPCBl7u7u0GhUKTn5uZmjBo1qg6g7bj77rvvOKmpqXYymSwjJSUlc+PGjZ6Wm6TY2FifJUuWqJRKZTqHwzFu3LjRrbVtzpw50++dd95R5eXlZdy6dSuTx+MZH6V8a/Lz8xk7d+7k3r59W5aTk5NhMpmIb775xgUAoGfPnpoffvght0+fPnVNy2zYsMENACA7O1v222+/Zb/33ns+JpMJDAYDfPDBB74XL17Mzs7OlkmlUs2XX37p0Xybe/bscdbr9WR2drYsNTU1c//+/e6WZLKt8xFC7Xkacc9isagrV65kZWVlyTIyMmTnz593PH/+vL1l/YIFC1SWa9S0adNaXI+MRiMsW7aMf+rUqezs7OyMH374wSUlJYUFALB69WqvYcOG1SqVyvRhw4bVrlq1qkPtXLt2LTcwMPChb/vNmzdP+J///KcwOztb9sorr1StWbOmzbpaK/+4bUHIAhMw1GmSk5M9f//9d2+TyfTQcWUymcjff//d+0lO6mPGjKlzd3c3trXebDZDfHy8yxtvvFHZfN3+/ftdJk+eXAkAoFQqGXV1deTIkSPrSZKEmTNnVpw4ccIZAIAgCFCr1TQAgKqqKpqHh4eheV3Wyp88edJp7ty5FQAAc+bMqUpKSmJb641ms9nmCRMm1AI0XrTCwsIaCgoKbAAAgoOD9f369dOQZMsQvXz5sl1ZWRnjpZdeUlv7mzX1ySefeEycOLHKzc2tzb8hAEB1dTUNAKCmpobm5eVlAACIi4tzmjlzZgVJkjBixIh6tVpNVyqVjI5uGz3bnmbcNnX48GG3tWvXlgIA0Gg08PLyMgK0HXcZGRmswYMH1zEYDHB0dDRLJJKG48ePc8xmMyQnJ7PnzJlTBQAwd+7civj4eKfm20tJSWGZTCaYPHmyGgCAw+GY2Wy2uaPlrTGZTER9fT1pMBhAo9GQPj4+BgCAiIgIbXh4uK7572UymW1kZKQaAMDb29vo6OhounTpkp3ZbCYoioLa2lrSbDaDWq0meTyevnl5giCgoaGBNBgMUF9fTzAYDMrJyclk7XyEkDVPK+5JkgQOh2MGANDr9YTRaCQIouMPmC9cuGAvEAh0EolEz2KxqKioqMpjx445AQCcOXPGaf78+RUAAPPnz684ffp0u8f63bt3GWfPnuXMmzfvoY9TKxQK1pgxY+oAAMaPH68+efJkq3W1Vf5x2oJQU5iAoU6h1WppaWlpXtZ+k5aW5qXVap/KMXf27FkHNzc3Q48ePVrc/MTFxTnPmjWrAqAxgbIkFgAAAoFAX1JSwgAA+PTTT4uPHj3qwuVyw6KiooI2bdp0r3ld1sqrVCobPz8/PQAAg8EABwcHk0ql6tCnHsrLy2nnzp1zGjNmjNWkymQywfLly32/+uqrgtbWr1mzxlskEknefPNNX41GQwA09tjHx8c7r1ixwurHKrdv366IiooK4nK5Yd9//73rxx9/XAIAUFJSwhAKhQ9uCr28vPSYgP05dFXclpeX0wAahyBJJJKQMWPG+BcUFNAB2o67Xr16aX799VdObW0tWVJSQk9KSnIsKCiwUalUdDabbWIwGg9BoVCoV6lULYb7ymQylqOjo+nll18OCAkJkcyfP9/HaDRCR8u3xc/Pz7B48eJSPz+/MA8Pj3A2m22KioqyGrfh4eEN8fHxTgaDAeRyuU16erqdUqm0YTKZ1Pr16+9FRERIuVxuWHZ2tu3SpUvLm5efPXt2lZ2dndnDwyPcz88vbMmSJaVcLtdk7XyEUFuedtwbjUYQi8USLpcbPnToUHVkZGS9Zd2uXbs8RCKRJDo6WtjasL2CggIbb2/vB9cbHx8ffVFRkQ0AQEVFBV0gEBgAAAQCgaGysrLd6+vixYt9v/jii8LmnZlBQUGab7/91gkA4ODBgy6lpaWtngPaKv84bUGoKUzAUKfIyspybt6T1pzJZCKzsrKeSi/RwYMHXaZMmdLi6ddvv/1mb2tra+7bt68WAICiqBZlLb1ze/bscZk+fXqFSqVKO378eM7s2bP9TCbTQ7+1Vr6NdS0XNmMwGCAqKsr/7bffVkkkkha93019/vnn7i+//HJ1YGBgi6dz69evL8rLy0tPTU3NrKqqon344YeeAACLFi3y/eyzzwrpdOvXh/Xr13OPHz+eo1Kp0mbMmFG+cOFCXyv71d5uoedAV8WtwWAgVCoVY/DgwXUymSyzX79+9X//+999AdqOu6ioKPVLL71U3bdvX/GUKVP8IiIi6uh0OtXRODMajcTNmzcdvvrqq4K0tDSZQqFgbt682e1x49SirKyM9vPPPzvl5ubeKS0tTWtoaCC3bt3qYq1MTExMOY/HM/To0UOyePFi3/v7Ajqdjti5c6f7tWvXZCqVKk0ikWhWrlzZ4sb44sWLdiRJUqWlpWm5ubl3/u///s9TJpPZYGyix/G0455Op4NcLpfdu3cv7datW/Y3btxgAQAsW7bsD6VSeSczM1Pm6elpWLRokW/zsk8an00dPnyY4+bmZhwyZEhD83W7d+9WbNu2zV0qlYbU1taSDAajxTaslUfoSWEChjpFfX19h3pdGxoaOr131mAwwJkzZ5xnzZrVIgE7dOiQS1RU1IPlQqHQ0LSHWKlU2nh6ehoAAA4ePOj2+uuvVwIAjBw5sl6n05GlpaUPZS3Wynt6eurz8/NtLG2qq6ujeXh4PJzBtWLGjBlCf39/7apVq/5o77dXr1512LVrl4e3t3eP1atX+xw/ftzVMnmHQCAwkCQJtra21Ny5cytSUlLsAQDS0tLsZ82a5e/t7d3j9OnTzsuXL+cfOHDAqWm9xcXF9MzMTFtLT+WsWbOqbt686QAAwOPxDAqF4kHvYElJiQ2fz2+RAKLnT1fFLZfLNbJYLPPrr79eDQDwt7/9rTI9Pd0OwHrcff7556VyuVyWlJSUQ1EUiEQinaenp7G2tpZmMDQeggqFwqa14cJ8Pl8fEhKikUgkegaDAa+88krVrVu37Dpavi3x8fGOfD5fx+PxjEwmk5o0aVJ1UlKSg7UyDAYDdu3aVSCXy2Xnz5+/q1ar6SEhIdqrV6/aAgBIpVIdSZIwffr0ymvXrtk3L3/gwAHXUaNG1TCZTMrb29vYt2/fuqSkJHtr5yOE2tJVce/m5mYaPHhwbXx8PAcAwNfX10in04FGo8GSJUvKbt++3eJY5/P5D554AQAUFhba8Hg8AwCAq6ur0TL6QqlUMlxcXKwOqb9y5YrDuXPnnLy9vXvMnj3b/+rVq+yJEyf6AQD06tVLm5iYmJORkZH5xhtvVPr6+rYYPWOt/KO2BaHmMAFDncLe3r5DF307O7tOvzmIi4tz9Pf31wYEBDxUt8lkgpMnTz6UmAkEAoO9vb35/Pnz9mazGQ4dOuQ6ceLEagAAHo+nP3XqlCMAwK1bt1h6vZ6wvKfSkfLjxo2r3r17tytA40vzAwYMqLUMW/Dz83to9kaLf/zjHzy1Wk3btWtXq0MKm/vpp5/yS0pK7hQVFd1Zs2ZNYVRUVMXWrVuLABovAgCN78MdP37cKSQkRAMAUFRUdMfynzFjxlStW7funuVG2MLd3d1YV1dHS0tLYwIAnDx50jEwMFALAPDKK69UHzp0yNVsNsP58+ft2Wy2yTL0Aj3fuipu778/WPPzzz+zAQBOnTrlGBQUpAFoO+6MRiOUlpbSAACuXbtmK5fL7aKiompIkoT+/fvXWmbz3L17t+v48eOrm29z6NCh9TU1NbTi4mI6AEBCQoKjRCLRWCufkJBgN3nyZKG1fREKhfpbt245WN7b+u2339ghISFaa2Vqa2tJtVpNAgD8+OOPjjQajerdu7dWIBAYcnNzWZY2njlzxlEkErWoi8/n6xMSEhwt74ndunXLvkePHlpr5yOE2vI04764uJhuGXJcV1dHXLhwwdESH02Hrn/33XdOwcHBmublhw4dWq9QKFhyudxGq9USx48fd5kyZUo1AMCoUaOqd+zY4QoAsGPHDtfRo0dXAzQOsx8wYICoeV1btmwpUqlUaUVFRXf27t2b179//9q4uLh8AICioiI6QON9wurVq73efPPNFh2g1sq31RaEOgoTMNQpgoODq2g0mtX5j2k0mjk4OLjqceqfMGGC3+DBg8X5+flMLpcbZplVDADg8OHDLtHR0S2efp0+fZrt6empbz6sb+vWrcoFCxYIBQJBqFAo1EVHR9cAAGzYsKFg79697sHBwZIZM2b4b9++XWFJoCzT21srHxMTU15VVUXn8/mhmzdv9vzvf/9bCABQUlJCpyiqxbigu3fvMjZv3uyVk5PDkkqlErFYLFm/fr0bQOOQIy6XG3bq1CnnZcuWCQIDA1tN4JqaNm2a3/1prqUVFRX0Tz/9tKS9MkOHDg1UKBQMBoMBGzduVE6dOjUgODhYcvjwYdcNGzYUAAC8+uqrNQKBQCcQCEIXLlwo2LJli7K9etHz4WnHbVPr168v/Pjjj3kikUhy+PBh102bNhUCtB13er2eGDRokDggIED69ttvC/bt25dneW9r3bp1hZs3b/bk8/mhVVVV9JiYmHIAgEuXLtlNmzZNANA4DOqzzz4rHDZsmEgkEkkoioJly5aVWyuvUCiYtra2Voc7RUZG1k+YMKEqLCwsJDg4WGo2m4nY2NgyAID9+/c7cbncsNu3b9tPnjw5aPDgwUEAjTelYWFhEn9/f+mXX37p+e233+YDND5RX7FiRcngwYODRSKR5M6dO3b//ve/SwAADh06xFm6dCkPAODdd9/9o76+nhSJRNJevXqFzJgxo7xfv34agLbPRwi15WnGfUFBAWPIkCHBIpFI0qtXL8nw4cPV06dPt1wjfSyfXLh48aLjli1bCgAAFAoFY+jQoYEAjU+L161bd2/06NGioKAg6aRJkyr79OmjBQBYs2ZNSUJCgqNAIAhNSEhwXLNmTYllmzQa7ZGGKe7evdtFKBSGBgQEhHp5eRn+8Y9/VDRvizVttQWhjiJaG2+LUFOpqamK8PDwFi+GN2eZVamt9b169SoaMGBAaee27tl3+PBhzt27d5n/+te/2h1i+DxLTU11Cw8PF3Z3O1AjjNtHN3/+fJ+5c+dWWJKbPyuM1T+vv2Lcf/LJJ+4CgUA/c+bMZ67zAWMNtQVnbUGdxnKyTktL82r6gi+NRjOHhYWVPC8n885m6f1D6FmEcfs/O3bsKOzuNiDUFf5Mcb9y5UqrM/wi9CzCBAx1qgEDBpT26tXrj6ysLOeGhgaGnZ2dITg4uIrFYlkd7oAQ6j4Ytwj99WDcI9R9MAFDnY7FYpnDw8MrursdCKGOw7hF6K8H4x6h7oGTcCCEEEIIIYRQF8EEDCGEEEIIIYS6CCZgCCGEEEIIIdRFMAFDna62tpYWHx/vtm/fPq/4+Hi32tpa2pPUl5uby+jXr5/I399fGhgYKP33v//tYVm3e/du58DAQClJkr0vXbpk17xsTk6OjZ2dXa9Vq1ZxLcteeOGFYKFQGCoWiyVisVhi+SCjxZ49e5wJgmi1PgCAHTt2uFi+ZTJkyJCgkpISOgCARqMhxo0b58/n80PDwsLEWVlZNtb2q7a2lhw2bFign5+fNDAwULpo0aKHpgT+5ptvnAMCAqSBgYHSCRMm+AEAxMfHsy3tFovFEiaTGXHgwAGnpuXeeOMNXzs7u16Wf//++++snj17im1sbCKa/h3a0ry82WyG2bNn+/L5/FCRSCS5cuVKq38X9Hzr7Lhtrq24OX36tINEIgmh0+m9LR9Htli4cKF3UFCQNCgoSPr1118/WBcXF8eWSCQhYrFY0rt37+D09HRma9tcsGCBT2BgoNTf3186e/ZsX7O5cW4BuVxuExYWJhYIBKHjxo3z12q1Lb7TZ82///1vj6CgIGlgYKD0448/fnA+io2N5Xl4eIRZ4vPIkSMcAIBt27a5NI1bkiR7JyUl2VZVVZFNlzs7O4fPnTvXt7VtfvDBB558Pj9UKBSG/vDDD46W5ZcvX7YTiUQSPp8f2nQfEeqIpxX3RqMRQkJCJMOHD3/wTa3k5GTbnj17ikUikSQyMjKwsrKyzXvQ1sqrVCrawIEDgwQCQejAgQODysrK2m1reXk5bfTo0f5+fn5Sf39/6a+//mrf0bZYu/d4nLYg1BQmYKhT7d+/33PevHlhe/bsEcTFxfH27NkjmDdvXtj+/fs9H7fO+x9mLMzLy8u4ceNG5q5duzxSUlJYAAA9e/bU/PDDD7l9+vSpa63skiVLfIcOHdpiGvj9+/fnyeVymVwul3l7exsty6uqqsgtW7Z4hIWF1bdWn8FggA8++MD34sWL2dnZ2TKpVKr58ssvPQAANm7c6MbhcIz37t1LX7JkiSo2NtanvX1bvny5Kj8/PyM9PV127do1h++//94RAODOnTvMdevWeV29elWem5ubsX379gIAgAkTJtRa2n3x4sUsFotlnjRpktpS36VLl+xqamoeSig9PDyMGzduvDd//nxVe+1prfzRo0c5eXl5LIVCkb5t2zblokWL+O3Vg54vTyNum7IWN/7+/vo9e/YoJkyY8NBEAN999x0nNTXVTiaTZaSkpGRu3LjR03KTFBMTIzh48GC+XC6XRUdHV65evdqr+TbPnTtnf/36dQe5XJ6RnZ2dcfv2bftTp06xAQBiY2N9lixZolIqlekcDse4ceNGt+bl23Ljxg3W/v373W/dupWZmZmZcebMGac7d+48SAAXLFigssTotGnTagAAFi5cWGlZtn///nwej6cfOHCgxtnZ2WxZLpfLZTweTx8dHd3i47cpKSms48ePu2RlZWWcOXMme+nSpXyjsfG0tWjRIsHWrVuVCoUiPS8vj3Xs2DHH5uURas3TjPu1a9dyAwMDH/qe3rx584T/+c9/CrOzs2WvvPJK1Zo1a9rcTmvlV69e7TVs2LBapVKZPmzYsNpVq1a12863337b9+WXX1bn5+dnyGQyWc+ePbUdbYu1e4/HaQtCTWEChjrN/v37PU+cOOGt1+sfOq70ej154sQJ78c9qQsEAsPgwYMbAACcnZ3NAQEBmnv37tkAAERERGjDw8N1rZU7cOCAk1Ao1IWEhGg7uq3ly5d7L1++vJTJZLb6hXKz2UxQFAW1tbWk2WwGtVpN8ng8PQDAyZMnnebOnVsBADBnzpyqpKQktrXeaDabbZ4wYUItAACLxaLCwsIaCgoKbAAAtmzZ4j5v3rw/3N3dTQAATZPEJvvnPHTo0Bo2m20GaOwxXLFihc/GjRsf+paRt7e3cejQoQ0MBsPqV9fbKh8XF+c0c+bMCpIkYcSIEfVqtZquVCoZ1upCz4+nFbdNWYub4OBgfb9+/TQk+fDlKCMjgzV48OA6BoMBjo6OZolE0nD8+HGOZX11dTUNAKCmpobm5eVlaL5NgiBAp9MRWq2W0Gg0pNFoJHg8nsFsNkNycjJ7zpw5VQAAc+fOrYiPj3fq6L7cuXPHNiIioo7NZpsZDAYMGjSo9siRIx0uv3//fpfJkydXtlIvs6KigjFq1KgWnUnHjh1zioqKqrS1taXEYrFeIBDoLly4YK9UKhl1dXXkyJEj60mShJkzZ1acOHHCuXl5hJp7mnF/9+5dxtmzZznz5s176IPQCoWCNWbMmDoAgPHjx6tPnjzZ6rHaVvkzZ844zZ8/vwIAYP78+RWnT5+2eqxXVlaS165dYy9durQcoPE66+bmZupoW6zdezxqWxBqDhMw1Clqa2tpp06datEL3dSpU6e86urqnuiYy8rKspHJZHZDhw5t9YmXhVqtJtetW+f5xRdfFLe2/q233hKKxWLJihUrvCxJUmJiom1RUZGNtQ8nM5lMav369fciIiKkXC43LDs729ZyclepVDZ+fn56gMaeMwcHB5NKperQpx7Ky8tp586dcxozZowaACA3N5eZnZ3NioiIEIeHh4tb69U+duyYy/Tp0x/cyH366aceY8eOrRYIBC1uRjuirfIlJSUMoVCot/zby8tLjwnYn0NXxa21uGlLr169NL/++iuntraWLCkpoSclJTlaOii2b9+uiIqKCuJyuWHff/+968cff1zSvPzIkSPrBw0aVOvl5RXO4/HChg8fro6IiNCqVCo6m802MRiNh7BQKNSrVCqrw4Wb6tmzp+batWvs0tJSWm1tLXnu3DmOpV0AALt27fIQiUSS6OhoYWvDkuLi4pxnzZrVYtrvffv2ubzyyiuVzRNRAICioiIbX1/fBzHI4/H0BQUFNkqlktE0+RQIBPqSkhKMTWTV0477xYsX+37xxReFzY/loKAgzbfffusEAHDw4EGX0tLSVuOurfIVFRV0y/VJIBAYKisrrV5f5XI508XFxRgdHS0MCQmRTJs2TaBWq8lHaYtF83uPR20LQs1hAoY6xYULF5yb96Q1p9fryYSEhMfuJaqpqSGjoqICPvvsswIXFxerLzq88847vCVLlqg4HE6L3x05ciQvOztblpycLE9KSnLYunWrq8lkgmXLlvE3bdpUYK1enU5H7Ny50/3atWsylUqVJpFINCtXrvQCAKColg+YCIKw+tQJoHF4VlRUlP/bb7+tkkgkegAAk8lE3L17l5mcnJx15MiRvMWLFwvLy8sf3MwplUpGVlaWbVRUlBoAQKFQME6cOOG8cuXKP9rbXmuslW9jvx5nM+gZ0xVxC2A9btoSFRWlfumll6r79u0rnjJlil9EREQdnU6nAADWr1/PPX78eI5KpUqbMWNG+cKFC1u8N5Wens7Mzs5mFRYWphUWFqZdvnyZffr0aYfHjVOLiIgIbUxMTGlkZKRo+PDhQRKJpIFOb7z3WrZs2R9KpfJOZmamzNPT07Bo0aKH2vXbb7/Z29ramvv27dviqfyPP/7o8vrrr7d4MgbQ9rkFYxM9jqcZ94cPH+a4ubkZhwwZ0tB83e7duxXbtm1zl0qlIbW1tWRrozKslX9URqORyMzMtFu8eHFZZmamzM7Ozvzhhx96drQtFo9y74FQR2EChjpFZWVlh3pdq6qqHqt3VqfTEePGjQuIjo6ufOONN6rb+31KSor96tWrfby9vXt8/fXXHhs3bvT65JNP3AEA/Pz8DACNQwqmTZtWef36dfvq6mpaTk4OKzIyMtjb27tHamqq/dSpUwObT8Rx9epVWwAAqVSqI0kSpk+fXnnt2jV7AABPT099fn6+DUBjUlVXV0fz8PAwtdfWGTNmCP39/bWrVq16kPx4eXnpJ0yYUM1kMimxWKz39/fXZmRkPHjPZP/+/c6jR4+utgyVvHr1qp1SqWQJhcIe3t7ePbRaLcnn80M78Ke17Feb5Xk8nkGhUDzoHSwpKbHh8/mP9ZQNPVuedtxaWIsbaz7//PNSuVwuS0pKyqEoCkQika64uJiemZlpGxkZWQ8AMGvWrKqbN286NC975MgRp759+9ZzOBwzh8Mxjxw5siYxMdHe09PTWFtbSzMYGg9hhUJh4+Hh8UjH87Jly8plMlnmzZs3s1xcXExBQUFaAABfX18jnU4HGo0GS5YsKbt9+/ZD+3jo0CGXqKioFklWcnKyrclkItq66fTx8dE3fcpWXFxs4+PjYxAKhYamT7yUSqWNp6cnxiay6mnG/ZUrVxzOnTvn5O3t3WP27Nn+V69eZU+cONEPAKBXr17axMTEnIyMjMw33nij0tfXt8XrA9bKu7q6Gi2jL5RKJcPFxaXF0PymhEKhnsvl6i3nimnTplWlpqbadbQtAG3fezxqWxBqDhMw1ClcXFw6dNF3dnZ+5JsDs9kMr732mkAkEmk/+uijdieSAABISUnJKioqulNUVHRn3rx5f8TExJSsXLmyzGAwgGX2NZ1OR5w6dYoTGhqqcXV1NVVVVaVayoSHh9cfO3Ys98UXX3zohkggEBhyc3NZxcXFdACAM2fOOIpEIi0AwLhx46p3797tCtA4k+KAAQNqLUMo/Pz8pK218x//+AdPrVbTdu3a9dCTt6ioqOoLFy6wAQBKSkro+fn5rODg4AcXiGPHjrnMmDHjwY3ca6+9VlNeXv6g/SwWy3zv3r30jvyt2iv/yiuvVB86dMjVbDbD+fPn7dlstulxhzmiZ8vTjNumrMVNW4xGI5SWltIAAK5du2Yrl8vtoqKiatzd3Y11dXW0tLQ0JgDAyZMnHQMDA1vUxefz9YmJiWyDwQA6nY5ITExkSyQSLUmS0L9//1rLjIu7d+92HT9+fDUAQEJCgt3kyZOF7e2PZebUnJwcm59//tnpzTffrARovBGz/Oa7775zCg4OfjCJgMlkgpMnTzrPmjWrRQJ24MCBVt8Ls5gyZUr18ePHXTQaDSGXy20UCgVr2LBh9QKBwGBvb28+f/68vdlshkOHDrlOnDixur32o7+2pxn3W7ZsKVKpVGlFRUV39u7dm9e/f//auLi4fID/xY3JZILVq1d7vfnmmy1GXFgrP2rUqOodO3a4AgDs2LHDdfTo0dUAAPn5+YwBAwaImtfF5/ONnp6e+tTUVCYAwC+//OIYHBys7WhbrN17tNUWhDoKEzDUKYYNG1ZlY2Nj9dG8jY2Nefjw4S1m+GrPuXPnHE6cOOF65coVdvPpnffv3+/E5XLDbt++bT958uSgwYMHB1mrS6PRkCNHjgwSiUQSqVQq8fLyMsTGxpa11waxWCwBABAKhYYVK1aUDB48OFgkEknu3Llj9+9//7sEACAmJqa8qqqKzufzQzdv3uz53//+txCgMYGiKKrFuKC7d+8yNm/e7JWTk8OSSqUSsVgsWb9+vRtA4/ArFxcXY0BAgHTo0KGijz/+uMDT09ME0DgWvaSkxGbs2LG1Hfn73bt3j87lcsN27tzJ3bBhgxeXyw2zzCY3dOjQQIVCYbWX89VXX60RCAQ6gUAQunDhQsGWLVuUHdkuevY9zbhtylrcXLx40Y7L5YadOnXKedmyZYLAwEApAIBerycGDRokDggIkL799tuCffv25TEYDGAwGLBx40bl1KlTA4KDgyWHDx923bBhQwFA4yye06ZNEwA0ToQjFAp1wcHBUolEIpFKpQ0zZsyoAQBYt25d4ebNmz35fH5oVVUVPSYmphwAQKFQMG1tbdsdjvjKK68EBAQESMePHx/41Vdf3bNMlhMTE+NjmWr/4sWLjlu2bHnQsXL69Gm2p6en3jLMuKmffvrJpXlidujQIc7SpUt5AAB9+vTRTpo0qVIkEklHjx4tWr9+vdIy7HHr1q3KBQsWCAUCQahQKNRFR0e3+Q4rQgBdF/fN7d6920UoFIYGBASEenl5Gf7xj39UADQOgR86dGhge+XXrFlTkpCQ4CgQCEITEhIc16xZUwIAUFBQwKDRaK3G7ebNm+/NnDnTXyQSSdLS0mzXrl1b0tG2WLv3aKstCHUU0doYcoSaSk1NVYSHh1t9YR7gf7MqtbV+0qRJRbNmzSrt3NY9+w4fPsy5e/cu81//+tdjvZ/1vEhNTXULDw8Xdnc7UCOM20c3f/58n7lz51b069dP0/6vn18Yq39ef8W4/+STT9wFAoF+5syZz1znA8YaagvO2oI6jeVkferUKa+mL/ja2NiYx44dW/K8nMw7m7VZFRHqbhi3/7Njx47C9n+F0PPvzxT3K1eubHcUC0LPGkzAUKeaNWtWaVRU1B8JCQnOVVVVDGdnZ8Pw4cOrHBwccOYghJ5RGLcI/fVg3CPUfTABQ53OwcHBPGHChBbfuUEIPbswbhH668G4R6h74CQcCCGEEEIIIdRFMAFDCCGEEEIIoS6CCRhCCCGEEEIIdZH/Bxol6aX4lrogAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='guerry.png') " ] }, { "cell_type": "markdown", "id": "113e81b1", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Spatial Lag\n", "\n", "* the spatial lag captures the behavior of a variable in the immediate surroundings of each location (local smoother) \n", "\n", "$$\n", "Y_{sl} = WY\n", "$$\n", "\n", "$$\n", "y_{sl - i} = \\sum_{j}w_{ij}y_j\n", "$$\n", "\n", "* $W$ is typically row-standardized, bounded between 0 and 1. In other words, the spatial lag is *local mean*. " ] }, { "cell_type": "markdown", "id": "fa7f6305", "metadata": {}, "source": [ "# Moran's $I$\n", "\n", "$$\n", "I = \\dfrac{n}{\\sum_i\\sum_j w_{ij}} \\dfrac{\\sum_i\\sum_j w_{ij} \\, z_i \\, z_j}{\\sum_i z_i^2}\n", "$$\n", "\n", "where $n$ is the number of observations, $z_i$ is the standardized value of the variable of interest at location $i$, and $w_{ij}$ is the cell corresponding to the $i$-th row and $j$-th column of a $W$ spatial weights matrix." ] }, { "cell_type": "code", "execution_count": 17, "id": "2aa5cad7", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "0.26355334031776523" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from libpysal.weights.contiguity import Queen\n", "import splot\n", "from esda.moran import Moran\n", "\n", "y = guerry['Crm_prp'].values\n", "w = Queen.from_dataframe(guerry)\n", "w.transform = 'r'\n", "\n", "moran = Moran(y, w)\n", "moran.I" ] }, { "cell_type": "code", "execution_count": 18, "id": "94bf5b85", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from splot.esda import moran_scatterplot\n", "\n", "fig, ax = moran_scatterplot(moran, aspect_equal=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "affe02a0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Interpreting Moran's Scatterplot \n", "\n", "* The plot displays a positive relationship between both variables. This indicates the presence of positive spatial autocorrelation: similar values tend to be located close to each other (HH and LL). \n", "* This, however, does not mean that this is the only case in the dataset: HL and LH are possible. But it means that, if we had to summarize the main pattern of the data in terms of how clustered similar values are, the best way would be to say they are positively correlated and, hence, **clustered** over space.\n", "* In the context of an example the department with high concentrations of crimes against property tend to cluster together. " ] }, { "cell_type": "markdown", "id": "d7c2d0a9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Permutation Inference \n", "\n", "* Inference for Moran’s I is based on a null hypothesis of complete spatial randomness. \n", "* The distribution of the statistic under the null can be derived using either an assumption of normality (independent normal random variates), or so-called randomization (i.e., each value is equally likely to occur at any location). \n", "* While the analytical derivations provide easy to interpret expressions for the mean and the variance of the statistic under the null hypothesis, inference based on them employs an approximation to a standard normal distribution, which may be inappropriate when the underlying assumptions are not satisfied\n", "* An alternative to the analytical derivation is a computational approach based on permutation. This calculates a reference distribution for the statistic under the null hypothesis of spatial randomness by randomly permuting the observed values over the locations." ] }, { "cell_type": "markdown", "id": "c5825423", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Permutation Inference\n", "\n", "* The statistic is computed for each of these randomly reshuffled data sets, which yields a reference distribution. This approach is not sensitive to potential violations of underlying assumptions, and is thus more robust, although limited in generality to the actual sample.\n", "* The reference distribution is used to calculate a so-called pseudo p-value.\n", "$$\n", "p = \\frac{R+1}{M+1}\n", "$$\n", "where $R$ is the number of times permuted statistic is more extreme than observed and $M$ is the number of simulations. \n", "\n", "> A result that has a p-value of 0.01 with 99 permutations is not necessarily more significant than a result with a p-value of 0.001 with 999 permutations. (Source: https://geodacenter.github.io/workbook/5a_global_auto/lab5a.html)" ] }, { "cell_type": "code", "execution_count": 19, "id": "fe88a72a", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\noibar\\anaconda3\\envs\\geo_env\\lib\\site-packages\\splot\\_viz_esda_mpl.py:354: FutureWarning: \n", "\n", "`shade` is now deprecated in favor of `fill`; setting `fill=True`.\n", "This will become an error in seaborn v0.14.0; please update your code.\n", "\n", " sbn.kdeplot(moran.sim, shade=shade, color=color, ax=ax, **kwargs)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from splot.esda import plot_moran\n", "\n", "plot_moran(moran, zstandard=True, figsize=(10,4))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 20, "id": "4ed26031", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Our simulated p-value for Moran`s I: 0.001\n" ] } ], "source": [ "p = moran.p_sim\n", "\n", "print(f'Our simulated p-value for Moran`s I: {p}')" ] }, { "cell_type": "markdown", "id": "6a717d2c", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Questions? " ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "geo_env", "language": "python", "name": "geo_env" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 5 }