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3101268,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101269,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101273,7.125,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101274,7.125,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101275,7.125,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101280,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101285,7.925,3,S,,1,1,1,0,0,1,0 +STON/O 2. 3101286,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101288,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101289,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101291,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101292,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101293,7.925,3,S,,1,1,1,0,0,0,0 +STON/O 2. 3101294,7.925,3,S,,1,1,1,0,0,0,0 +STON/O2. 3101270,7.925,3,S,,1,1,0,1,0,1,0 +STON/O2. 3101271,7.925,3,S,,1,1,0,1,0,1,0 +STON/O2. 3101279,15.85,3,S,,1,2,1,1,0,1,0 +STON/O2. 3101282,7.925,3,S,,1,1,0,1,0,0,0 +STON/O2. 3101283,7.925,3,S,,1,1,0,1,0,0,0 +STON/O2. 3101290,7.925,3,S,,1,1,0,1,0,0,0 +STON/OQ. 369943,8.05,3,S,,1,1,1,0,0,0,0 +SW/PP 751,10.5,2,S,,1,1,1,0,0,0,0 +W./C. 14258,10.5,2,S,,1,1,0,1,0,0,0 +W./C. 14260,10.5,2,S,,1,1,1,0,0,0,0 +W./C. 14263,10.5,2,S,,1,1,1,0,0,0,0 +W./C. 14266,10.5,2,S,F,1,1,0,1,0,0,0 +W./C. 6607,23.45,3,S,,1,4,2,2,0,1,2 +W./C. 6608,34.375,3,S,,1,5,2,2,1,2,3 +W./C. 6609,7.55,3,S,,1,1,0,1,0,0,0 +W.E.P. 5734,61.175,1,S,E,1,2,1,1,0,1,0 +W/C 14208,10.5,2,S,,1,1,1,0,0,0,0 +WE/P 5735,71.0,1,S,B,1,2,1,1,0,1,2 diff --git a/data/wheat.txt b/data/wheat.txt new file mode 100644 index 0000000..02e54da --- /dev/null +++ b/data/wheat.txt @@ -0,0 +1,31 @@ +variety location yield +A 1 35.3 +A 2 31 +A 3 32.7 +A 4 36.8 +A 5 37.2 +A 6 33.1 +B 1 33.7 +B 2 32.2 +B 3 31.4 +B 4 32.7 +B 5 35 +B 6 33.7 +C 1 32.2 +C 2 33.4 +C 3 33.6 +C 4 37.1 +C 5 37.3 +C 6 38.2 +D 1 32.9 +D 2 36.1 +D 3 35.2 +D 4 38.3 +D 5 35.2 +D 6 36 +E 1 32.4 +E 2 30.9 +E 3 31.2 +E 4 30.7 +E 5 33.9 +E 6 36.1 diff --git a/notebooks/images/stripplot.png b/notebooks/images/stripplot.png new file mode 100644 index 0000000000000000000000000000000000000000..0a06910b687f64b4edfdaf437d9d5b6275015bb4 GIT binary patch literal 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b/notebooks/statsmodels_TP.ipynb index 256c2a7..6bfccfe 100644 --- a/notebooks/statsmodels_TP.ipynb +++ b/notebooks/statsmodels_TP.ipynb @@ -2,17 +2,15 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "4e16caf7", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", - "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "from scipy import stats\n", - "from patsy import dmatrices\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "from statsmodels.stats import diagnostic\n", @@ -22,432 +20,280 @@ }, { "cell_type": "markdown", - "id": "358dce7a", + "id": "00aaf24e", "metadata": {}, "source": [ - "# Multi-way ANOVA" + "# Toy dataset for ANOVAs" ] }, { "cell_type": "markdown", - "id": "a1face9f", - "metadata": { - "heading_collapsed": true - }, + "id": "ace9ca6b", + "metadata": {}, "source": [ "## Q\n", "\n", - "Load the `titanic.csv` data file, insert the natural logarithm of `1+Fare` as a new column in the dataframe (*e.g.* with column name `'LogFare'`), and plot this new variable as a function of `Age`, `Pclass` and `Sex`." - ] - }, - { - "cell_type": "markdown", - "id": "965cc75c", - "metadata": {}, - "source": [ - "## A" + "Load the `../data/wheat.txt` toy dataset [[1]](https://campus.murraystate.edu/academic/faculty/cmecklin/STA565/wheat.txt)." ] }, { "cell_type": "code", "execution_count": null, - "id": "7eb30cc9", + "id": "2b27d79d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "154c1460", - "metadata": { - "heading_collapsed": true - }, + "id": "3ad2e6b4", + "metadata": {}, "source": [ "## Q\n", "\n", - "Fit a linear model to these data to explain our synthetic variable `LogFare` as a function of `Age`, `Pclass` and `Sex`.\n", - "\n", - "Treat `Pclass` and `Sex` as factors.\n", - "\n", - "Print an ANOVA table for different types of sum of squares.." - ] - }, - { - "cell_type": "markdown", - "id": "3ad89dec", - "metadata": {}, - "source": [ - "## A" + "Perform a one-way ANOVA fitting a linear model of response variable `yield` using `variety` only as independent variable. Print the summary tables and, if necessary, an ANOVA table." ] }, { "cell_type": "code", "execution_count": null, - "id": "39f58924", + "id": "72bd487f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "ecf3bcd9", + "id": "a6ef5a35", "metadata": {}, "source": [ "## Q\n", "\n", - "Because we have a large sample, we will ignore the not-normal residuals and play with post-hoc tests instead.\n", - "\n", - "First proceed considering type-3 sums of squares." - ] - }, - { - "cell_type": "markdown", - "id": "63677a0d", - "metadata": {}, - "source": [ - "## A" + "Perform a two-way ANOVA of `yield` using `variety` and `location` as categorical variables. Can we introduce an interaction term?" ] }, { "cell_type": "code", "execution_count": null, - "id": "09794922", + "id": "4042d114", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "d30cdb9c", + "id": "f02ea988", "metadata": {}, "source": [ "## Q\n", "\n", - "Let us suppose we want to use type-1 sums of squares instead.\n", - "\n", - "Proceed again to performing with `Sex` first, `Pclass` second, and `Age` last.\n", - "\n", - "In the post-hoc comparisons, we will disregard the effect of the slop of `Age`." - ] - }, - { - "cell_type": "markdown", - "id": "7a417d76", - "metadata": {}, - "source": [ - "## A" + "`variety` now appears to have a significant effect. Run pairwise *t* tests to determine which varieties exhibit different yields, with corrections for multiple comparisons." ] }, { "cell_type": "code", "execution_count": null, - "id": "034acc94", + "id": "bc21bb5b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "b7b20012", + "id": "358dce7a", "metadata": {}, "source": [ - "# Linear model with multiple variables" + "# Generalized linear models" ] }, { "cell_type": "markdown", - "id": "144b0584", - "metadata": { - "heading_collapsed": true - }, + "id": "e8300730", + "metadata": {}, "source": [ "## Q\n", "\n", - "Load the `mi.csv` file and plot the variables `Temperature` vs `HeartRate` and `PhysicalActivity`." - ] - }, - { - "cell_type": "markdown", - "id": "35949307", - "metadata": {}, - "source": [ - "## A" + "Load the `../data/titanic_tickets.csv` data file and look at it.\n", + "\n", + "Exclude the null-fare tickets." ] }, { "cell_type": "code", "execution_count": null, - "id": "47cf88a3", + "id": "305bd372", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "62449fb6", - "metadata": {}, - "source": [ - "## Q" - ] - }, - { - "cell_type": "markdown", - "id": "c71d2a4c", + "id": "3080f062", "metadata": {}, "source": [ - "The `PhysicalActivity` variable is very asymmetric. This is usually undesirable for an explanatory variable, because we cannot densely sample a large part of its domain of possible values, and therefore a model based on the data cannot be reliable.\n", + "Meaning of some columns:\n", + "* `Pclass`: 1 = first class, 2 = second class, 3 = third class\n", + "* `Cabins`: number of cabins the ticket refers to\n", + "* `Passengers`: number of passengers registered on the ticket\n", + "* `SibSp`: maximum number of siblings or spouse\n", + "* `Parch`: maximum number of parents or children\n", + "* `Embarked`: C = Cherbourg (2nd port of embarkation), Q = Queenstown (3rd), S = Southampton (1st)\n", + "* `Deck`: <img src=\"images/titanic_decks.png\" style=\"height:600px\" />\n", "\n", - "We will proceed to transforming `PhysicalActivity` using a simple natural logarithm. `log` is undefined at $0$ and tends to the infinite near $0$, which renders its straightforward application to `PhysicalActivity` inappropriate. Therefore we will also add $1$ to the `PhysicalActivity` measurements prior to applying `log`.\n", "\n", - "Plot again the temperature versus the transformed `PhysicalActivity` variable and compare the skewness of the transformed versus raw variable." - ] - }, - { - "cell_type": "markdown", - "id": "21e8879e", - "metadata": {}, - "source": [ - "## A" + "## Q\n", + "\n", + "Instead of the classical `Survived` variable, we will try to explain the variations in `Fare`.\n", + "\n", + "Let us first consider the first-class tickets only. In order not to loose many data, replace the missing deck information by an empty string.\n", + "\n", + "Fit a _standard_ linear model for `Fare` as response variable, using `Embarked`, `Deck`, `Cabins`, `Passengers` and `Children` as independent variables (no interaction), and print the summary tables." ] }, { "cell_type": "code", "execution_count": null, - "id": "0b8cac58", + "id": "2ec31a78", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "2c6d5225", - "metadata": { - "heading_collapsed": true - }, + "id": "dc3bcf67", + "metadata": {}, "source": [ + "You may notice several issues, including the non-normality of the residuals, with high skewness and kurtosis.\n", + "\n", + "If you defined all variables as categorical, you may also be warned about multicollinearity.\n", + "\n", "## Q\n", "\n", - "To appreciate the increased robustness of a linear model using the transformed variable compared to the raw variable, design a simple univariate linear regression of `Temperature` as response variable, and draw the Cook's distance of all the observations in regard of this model:\n", - "* first with the raw `PhysicalActivity` as explanatory variable,\n", - "* second with the transformed `PhysicalActivity` as explanatory variable." - ] - }, - { - "cell_type": "markdown", - "id": "c47489e6", - "metadata": {}, - "source": [ - "## A" + "Print the residuals as a function of the predicted values." ] }, { "cell_type": "code", "execution_count": null, - "id": "bf32c7e6", + "id": "604e52a6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "1c7871a2", - "metadata": { - "heading_collapsed": true - }, + "id": "b4c8a595", + "metadata": {}, "source": [ "## Q\n", "\n", - "Make a linear model of `Temperature` as response and `HeartRate` and `PhysicalActivity` (or its transformed variant) as explanatory variables.\n", + "We have a clear case of heteroscedasticity, as could be expected from some statistics in the summary tables.\n", "\n", - "Make two such models, one with interaction and one without. How would you choose between the two models?" - ] - }, - { - "cell_type": "markdown", - "id": "12d7e9a5", - "metadata": {}, - "source": [ - "## A (with nested Q&A)" + "Before we move to a generalized linear model, let us try to improve the current model removing outliers.\n", + "Plot the Cook's distance for each ticket. Remove the outlier(s) and fit the model again." ] }, { "cell_type": "code", "execution_count": null, - "id": "82e9f8d6", + "id": "56266705", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "66ddaa3e", + "id": "e2996d44", "metadata": {}, "source": [ - "### Q\n", - "\n", - "The interaction term is not significant, but most importantly, the increase in log-likelihood is very small; the interaction term does not help to better fit the model to the data.\n", - "\n", - "To get a better intuition about the log-likelihood, plot it (with a dot plot) for different models, with one variable, with two variables, with and without interaction.\n", + "## Q\n", "\n", - "Feel free to introduce one or two extra explanatory variables such as `BMI`." - ] - }, - { - "cell_type": "markdown", - "id": "05844c56", - "metadata": {}, - "source": [ - "### A" + "Plot the density of `Fare` for first-class passengers and overlay a fitted distribution function from the exponential family." ] }, { "cell_type": "code", "execution_count": null, - "id": "2588d8d6", + "id": "d353cf03", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "665a7a5c", - "metadata": {}, - "source": [ - "# White test for homoscedasticity" - ] - }, - { - "cell_type": "markdown", - "id": "6d0bdd7b", + "id": "79fb1852", "metadata": {}, "source": [ - "To keep things simple, let us use the `'Heart + PhysicalActivity'` or `'Heart + logPhysicalActivity'`.\n", - "\n", "## Q\n", "\n", - "Inspect the residuals plotting them versus each explanatory variable." - ] - }, - { - "cell_type": "markdown", - "id": "a6f37b2e", - "metadata": {}, - "source": [ - "## A" + "Fit a generalized linear model using an inverse Gaussian distribution of `Fare` using `Embarked`, `Deck`, `Cabins`, `Passengers` and `Children` for the linear predictor.\n", + "\n", + "Compare fares between decks, with corrections for multiple comparisons." ] }, { "cell_type": "code", "execution_count": null, - "id": "77e350be", + "id": "d38d67dc", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "789bd3f7", - "metadata": { - "heading_collapsed": true - }, + "id": "dafeaa5b", + "metadata": {}, "source": [ "## Q\n", "\n", - "We will further inspect the residuals for heteroscedasticity, using the [White test](https://itfeature.com/heteroscedasticity/white-test-for-heteroskedasticity).\n", - "\n", - "`statsmodels` features an implementation of this test, but the [documentation](https://www.statsmodels.org/stable/generated/statsmodels.stats.diagnostic.het_white.html) is scarce on details.\n", - "Try to apply the `het_white` function (if you can 'x))." - ] - }, - { - "cell_type": "markdown", - "id": "0a822074", - "metadata": {}, - "source": [ - "## A" + "Group the decks so that *A*, *B* and *C* are labelled *ABC*, and *D* and *E* are labelled *DE*. Check whether the simplified model unveils any difference of fare between the grouped decks." ] }, { "cell_type": "code", "execution_count": null, - "id": "85d73982", + "id": "c0e0048b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "e3ccb464", - "metadata": { - "heading_collapsed": true - }, + "id": "62268b17", + "metadata": {}, "source": [ "## Q\n", "\n", - "Instead, we will implement this test, as an application of polynomial regression.\n", - "\n", - "The algorithm is simple. First part:\n", + "Programmatically search for a model with interaction terms that minimize the AIC.\n", "\n", - "* take the squared residuals as a response variable,\n", - "* take the same explanatory variables as in the original model, plus all their possible interaction terms, plus all their values squared,\n", - "* fit a linear model to these data." - ] - }, - { - "cell_type": "markdown", - "id": "7ce19023", - "metadata": {}, - "source": [ - "## A" + "You may for example look for the best model among those with a single `A * B` interaction term, and then repeat the procedure with the `A * B` term as a replacement for both `A` and `B`." ] }, { "cell_type": "code", "execution_count": null, - "id": "7dec1d91", + "id": "d08ec808", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", - "id": "b588b5c1", - "metadata": { - "heading_collapsed": true - }, + "id": "6071b347", + "metadata": {}, "source": [ "## Q\n", "\n", - "Second part:\n", - "* get the coefficient of determination $R^2$,\n", - "* get the sample size $n$,\n", - "* set the number $k$ of degrees of freedom as the number of predictors (intercept excluded),\n", + "Draw a [stripplot](https://seaborn.pydata.org/generated/seaborn.stripplot.html) of the AIC for the various models explored.\n", "\n", - "The test is:\n", - "$$\n", - "H_0: nR^2 \\sim \\chi_{k}^2\n", - "$$\n", - "$$\n", - "H_A: nR^2 > \\tt{Critical Value}(\\chi_{k}^2, 1-\\alpha)\n", - "$$\n", - "\n", - "You do not necessarily need to compute the critical value. Just note the test is one-sided.\n", - "\n", - "Compute the statistic $nR^2$ and the resulting $p$-value." - ] - }, - { - "cell_type": "markdown", - "id": "5224316d", - "metadata": {}, - "source": [ - "## A" + "Example:\n", + "<img src=\"images/stripplot.png\" />" ] }, { "cell_type": "code", "execution_count": null, - "id": "1bac9cde", + "id": "e39ff8fd", "metadata": {}, "outputs": [], "source": [] @@ -455,9 +301,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "scientific_python", "language": "python", - "name": "python3" + "name": "scientific_python" }, "language_info": { "codemirror_mode": { @@ -469,7 +315,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.10.4" }, "toc": { "base_numbering": 1, diff --git a/notebooks/statsmodels_cours.ipynb b/notebooks/statsmodels_cours.ipynb index 1e7c29e..33aab83 100644 --- a/notebooks/statsmodels_cours.ipynb +++ b/notebooks/statsmodels_cours.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "ce9d2cf1-9281-4a58-9dcd-3b0b1ab7cb0b", "metadata": { "jupyter": { @@ -10,22 +10,7 @@ }, "tags": [] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: statsmodels in /home/flaurent/.local/lib/python3.8/site-packages (0.12.2)\n", - "Requirement already satisfied: numpy>=1.15 in /home/flaurent/.local/lib/python3.8/site-packages (from statsmodels) (1.20.3)\n", - "Requirement already satisfied: pandas>=0.21 in /home/flaurent/.local/lib/python3.8/site-packages (from statsmodels) (1.3.1)\n", - "Requirement already satisfied: patsy>=0.5 in /home/flaurent/.local/lib/python3.8/site-packages (from statsmodels) (0.5.1)\n", - "Requirement already satisfied: scipy>=1.1 in /home/flaurent/.local/lib/python3.8/site-packages (from statsmodels) (1.7.1)\n", - "Requirement already satisfied: pytz>=2017.3 in /usr/lib/python3/dist-packages (from pandas>=0.21->statsmodels) (2019.3)\n", - "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/lib/python3/dist-packages (from pandas>=0.21->statsmodels) (2.7.3)\n", - "Requirement already satisfied: six in /home/flaurent/.local/lib/python3.8/site-packages (from patsy>=0.5->statsmodels) (1.15.0)\n" - ] - } - ], + "outputs": [], "source": [ "import sys\n", "!\"{sys.executable}\" -m pip install statsmodels" @@ -36,7 +21,7 @@ "id": "f0b66572-e886-4b73-9a82-2f26a1295280", "metadata": {}, "source": [ - "<div style=\"text-align: center;\"><img alt=\"StatsModels logo\" src=\"img/statsmodels-logo-v2-horizontal.svg\" width=\"30%\" /></div>\n", + "<div style=\"text-align: center;\"><img alt=\"StatsModels logo\" src=\"images/statsmodels-logo-v2-horizontal.svg\" width=\"60%\" /></div>\n", "\n", "The `statsmodels` library stands out for its general modelling approach for designing statistical tests.\n", "It leverages the principle of *regression* to represent the association between multiple variables." @@ -62,6 +47,7 @@ "source": [ "import numpy as np\n", "import pandas as pd\n", + "from scipy import stats\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns" ] @@ -388,6 +374,7 @@ "cell_type": "markdown", "id": "0fef470a-4628-468d-a32a-af36dcb21881", "metadata": { + "heading_collapsed": true, "tags": [] }, "source": [ @@ -397,7 +384,9 @@ { "cell_type": "markdown", "id": "64759d8f-7fee-405c-84f2-207fd8786904", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "`statsmodels` understands Wilkinson formulae.\n", "\n", @@ -409,7 +398,9 @@ "cell_type": "code", "execution_count": 8, "id": "4a2a00ec-43c6-4299-82e3-15b807110828", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "fitted_model = smf.ols('Y ~ Group', data=dataframe).fit()" @@ -418,7 +409,9 @@ { "cell_type": "markdown", "id": "a8110314", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "OLS stands for *ordinary least squares*." ] @@ -427,7 +420,9 @@ "cell_type": "code", "execution_count": 9, "id": "21bf5c1d-caa3-4072-bc86-ce860b8f33c8", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -438,8 +433,8 @@ "Dep. Variable: Y R-squared: 0.149\n", "Model: OLS Adj. R-squared: 0.086\n", "Method: Least Squares F-statistic: 2.358\n", - "Date: Mon, 04 Oct 2021 Prob (F-statistic): 0.114\n", - "Time: 09:59:04 Log-Likelihood: -96.604\n", + "Date: Mon, 26 Sep 2022 Prob (F-statistic): 0.114\n", + "Time: 01:44:26 Log-Likelihood: -96.604\n", "No. Observations: 30 AIC: 199.2\n", "Df Residuals: 27 BIC: 203.4\n", "Df Model: 2 \n", @@ -469,7 +464,9 @@ { "cell_type": "markdown", "id": "fa80f8df-1f58-4de0-be95-a551d27e07eb", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "---\n", "\n", @@ -481,6 +478,7 @@ "execution_count": 10, "id": "638bdd6b-6964-4209-b762-2991fd3fb7fc", "metadata": { + "hidden": true, "tags": [] }, "outputs": [ @@ -505,7 +503,9 @@ { "cell_type": "markdown", "id": "e64a5b9a-9214-4ecc-ad70-2505c5b9e78c", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "To get a more classical table layout, with explicit sums of squares calculation:" ] @@ -515,6 +515,7 @@ "execution_count": 11, "id": "0fe841a0-21b1-4c92-a767-c4ab3abd37f8", "metadata": { + "hidden": true, "tags": [] }, "outputs": [ @@ -536,7 +537,9 @@ { "cell_type": "markdown", "id": "e30bf249-4720-488e-a5d4-39497ca1e1c1", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "We will come back to `anova_lm` later, as this function is actually mostly useful in multi-way ANOVA.\n", "\n", @@ -548,6 +551,7 @@ "execution_count": 12, "id": "a5b2750a-8965-4769-b053-cd95e3583320", "metadata": { + "hidden": true, "jupyter": { "source_hidden": true }, @@ -556,14 +560,12 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 2 Axes>" + "<Figure size 640x480 with 2 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -581,7 +583,9 @@ { "cell_type": "markdown", "id": "248559af", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The model effectively catches the grand mean and group means of $Y$, which results in estimates $\\hat{y}_i$ for each observation $y_i$ and a residual $\\epsilon_i = y_i - \\hat{y}_i$.\n", "\n", @@ -593,7 +597,9 @@ { "cell_type": "markdown", "id": "a30928ea-89bd-40d1-aabf-93c9ff35686c", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "In the bottom part of the table, a few statistics are given about the *residuals*:" ] @@ -603,6 +609,7 @@ "execution_count": 13, "id": "fc687c84-7ad2-4055-b00d-efbcb4545ea2", "metadata": { + "hidden": true, "tags": [] }, "outputs": [ @@ -626,7 +633,9 @@ { "cell_type": "markdown", "id": "38dc6aff-1529-4114-812b-8b802f857f4e", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "For example, we find mentions of an [Omnibus test of normality](https://www.statsmodels.org/stable/generated/statsmodels.stats.stattools.omni_normtest.html) (*Omnibus*) and the [Jarque-Bera test of normality](https://www.statsmodels.org/stable/generated/statsmodels.stats.stattools.jarque_bera.html) (*JB*), and intermediate measurements of skewness (*Skew*) and kurtosis (*Kurtosis*).\n", "The so-called omnibus test is actually the D'Agostino-Pearson test (`scipy.stats.normaltest`) applied to the residuals:" @@ -636,7 +645,9 @@ "cell_type": "code", "execution_count": 14, "id": "1ecb4ddd-d9f4-42cb-8611-0f0d69da4972", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -656,7 +667,9 @@ { "cell_type": "markdown", "id": "38e9651e-9e9a-4008-a545-5df63f30706a", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Note that, here, the kurtosis is estimated as $\\beta_2$ and its expected value for a normal distribution is $3$.\n", "\n", @@ -668,6 +681,7 @@ "cell_type": "markdown", "id": "f7a66725-297c-45c1-b262-1a62b3ebd49f", "metadata": { + "heading_collapsed": true, "jp-MarkdownHeadingCollapsed": true, "tags": [] }, @@ -678,7 +692,9 @@ { "cell_type": "markdown", "id": "88e9d692-e006-459b-81bd-8655b069a9fe", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The middle table is the most important one. It gives information about the terms in the linear model, and how significant is the contribution of each term in the model." ] @@ -687,7 +703,9 @@ "cell_type": "code", "execution_count": 15, "id": "02834d6d-cc6a-4746-9f2e-443c10a65fd3", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -710,7 +728,9 @@ { "cell_type": "markdown", "id": "546d7d79-a709-4178-b338-acf08d0a29cf", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Three terms are mentioned, meaning that the *response variable* `Y` is approximated as `a + b * Group[T.B] + c * Group[T.C]` with `a` the *intercept*.\n", "\n", @@ -729,7 +749,9 @@ "cell_type": "code", "execution_count": 16, "id": "cdd44a30-6648-495f-98e7-c89739921066", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -825,7 +847,10 @@ { "cell_type": "markdown", "id": "aa935207-cb37-4ee2-9562-ba5852230881", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Design matrices" ] @@ -833,7 +858,9 @@ { "cell_type": "markdown", "id": "51d30cc1-196b-49ec-9548-07384aa970e1", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "To understand what is happening, let us first have a look at the *design* `endog` and `exog` matrices:" ] @@ -842,7 +869,9 @@ "cell_type": "code", "execution_count": 17, "id": "86386730-0784-4304-bb82-c8909e7ffb01", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "from patsy import dmatrices\n", @@ -854,6 +883,7 @@ "execution_count": 18, "id": "6fd10d16-b7da-4adb-ba6c-2c82b6529ae6", "metadata": { + "hidden": true, "jupyter": { "source_hidden": true }, @@ -906,7 +936,9 @@ "cell_type": "code", "execution_count": 19, "id": "c885739b-16dc-4269-b0cf-1f0379e6c4c8", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -957,7 +989,9 @@ { "cell_type": "markdown", "id": "207b6cb4-e44f-4ef5-b85b-2670680fa742", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "$\\require{color}$" ] @@ -965,7 +999,9 @@ { "cell_type": "markdown", "id": "ca7ee778-b453-4890-ae89-c7453f1a0b57", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The right-hand side (`endog`) is a vector that represents the response variable we previously called *Y*.\n", "Here, this is a vector because we model a single response variable.\n", @@ -992,31 +1028,16 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "3511838e-a886-4d0f-8be6-bce37a54aa2c", "metadata": { + "hidden": true, "jupyter": { "source_hidden": true }, "tags": [] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: formulaic in /home/flaurent/.local/lib/python3.8/site-packages (0.2.4)\n", - "Requirement already satisfied: scipy in /home/flaurent/.local/lib/python3.8/site-packages (from formulaic) (1.7.1)\n", - "Requirement already satisfied: astor in /home/flaurent/.local/lib/python3.8/site-packages (from formulaic) (0.8.1)\n", - "Requirement already satisfied: pandas in /home/flaurent/.local/lib/python3.8/site-packages (from formulaic) (1.3.1)\n", - "Requirement already satisfied: numpy in /home/flaurent/.local/lib/python3.8/site-packages (from formulaic) (1.20.3)\n", - "Requirement already satisfied: interface-meta>=1.2 in /home/flaurent/.local/lib/python3.8/site-packages (from formulaic) (1.2.4)\n", - "Requirement already satisfied: wrapt in /home/flaurent/.local/lib/python3.8/site-packages (from formulaic) (1.12.1)\n", - "Requirement already satisfied: pytz>=2017.3 in /usr/lib/python3/dist-packages (from pandas->formulaic) (2019.3)\n", - "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/lib/python3/dist-packages (from pandas->formulaic) (2.7.3)\n" - ] - } - ], + "outputs": [], "source": [ "import sys\n", "!\"{sys.executable}\" -m pip install formulaic" @@ -1026,7 +1047,9 @@ "cell_type": "code", "execution_count": 21, "id": "8960bbfa-ef9f-4530-94eb-2a894140b51b", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -1326,7 +1349,9 @@ "cell_type": "code", "execution_count": 22, "id": "b18356ea-7df2-4596-abe4-b6a320280809", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -1343,10 +1368,10 @@ " <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 2.358</td>\n", "</tr>\n", "<tr>\n", - " <th>Date:</th> <td>Mon, 04 Oct 2021</td> <th> Prob (F-statistic):</th> <td> 0.114</td> \n", + " <th>Date:</th> <td>Mon, 26 Sep 2022</td> <th> Prob (F-statistic):</th> <td> 0.114</td> \n", "</tr>\n", "<tr>\n", - " <th>Time:</th> <td>09:59:08</td> <th> Log-Likelihood: </th> <td> -96.604</td>\n", + " <th>Time:</th> <td>01:44:31</td> <th> Log-Likelihood: </th> <td> -96.604</td>\n", "</tr>\n", "<tr>\n", " <th>No. Observations:</th> <td> 30</td> <th> AIC: </th> <td> 199.2</td>\n", @@ -1401,8 +1426,8 @@ "Dep. Variable: Y R-squared: 0.149\n", "Model: OLS Adj. R-squared: 0.086\n", "Method: Least Squares F-statistic: 2.358\n", - "Date: Mon, 04 Oct 2021 Prob (F-statistic): 0.114\n", - "Time: 09:59:08 Log-Likelihood: -96.604\n", + "Date: Mon, 26 Sep 2022 Prob (F-statistic): 0.114\n", + "Time: 01:44:31 Log-Likelihood: -96.604\n", "No. Observations: 30 AIC: 199.2\n", "Df Residuals: 27 BIC: 203.4\n", "Df Model: 2 \n", @@ -1433,14 +1458,12 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -1453,7 +1476,9 @@ { "cell_type": "markdown", "id": "3e4cb32f-4ce4-4009-9cbd-528bfcdaa662", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "[More about design matrices](https://en.wikipedia.org/wiki/Design_matrix)." ] @@ -1461,7 +1486,10 @@ { "cell_type": "markdown", "id": "89ab029c-14e4-4730-9a8b-58542413f571", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Wilkinson formulae" ] @@ -1469,7 +1497,9 @@ { "cell_type": "markdown", "id": "fa769b95-2744-470c-8213-2a522f39de25", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Wilkinson formulae were introduced in the S language and popularized with the advent of the R language.\n", "\n", @@ -1487,6 +1517,7 @@ "execution_count": 23, "id": "d3de4753-0da7-4fe9-8412-eff18d66accf", "metadata": { + "hidden": true, "tags": [] }, "outputs": [ @@ -1499,8 +1530,8 @@ "Dep. Variable: Y R-squared: 0.149\n", "Model: OLS Adj. R-squared: 0.086\n", "Method: Least Squares F-statistic: 2.358\n", - "Date: Mon, 04 Oct 2021 Prob (F-statistic): 0.114\n", - "Time: 09:59:08 Log-Likelihood: -96.604\n", + "Date: Mon, 26 Sep 2022 Prob (F-statistic): 0.114\n", + "Time: 01:44:32 Log-Likelihood: -96.604\n", "No. Observations: 30 AIC: 199.2\n", "Df Residuals: 27 BIC: 203.4\n", "Df Model: 2 \n", @@ -1532,7 +1563,9 @@ { "cell_type": "markdown", "id": "e28fe336-37b9-4fa4-8670-1416e61aaf24", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "<hr />\n", "\n", @@ -1550,7 +1583,9 @@ "cell_type": "code", "execution_count": 24, "id": "44932add-b649-4c6d-a88f-421549bc9481", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -1574,7 +1609,9 @@ { "cell_type": "markdown", "id": "9bb874ed-ea52-44d6-9cec-008be52945a7", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "### Implementation detail" ] @@ -1584,6 +1621,7 @@ "execution_count": 25, "id": "b3fdcfa3-fe7a-48f3-9a2f-b01723a6e440", "metadata": { + "hidden": true, "tags": [] }, "outputs": [], @@ -1604,6 +1642,7 @@ "cell_type": "markdown", "id": "f7a62c11-5794-42a4-9c7e-160babc13731", "metadata": { + "hidden": true, "tags": [] }, "source": [ @@ -1620,6 +1659,7 @@ "execution_count": 26, "id": "e3e4e71e-27a4-4c96-ab41-050f4f7597d6", "metadata": { + "hidden": true, "tags": [] }, "outputs": [], @@ -1631,6 +1671,7 @@ "cell_type": "markdown", "id": "4d5ea642-c933-44d8-9995-e1fe1a2d71d4", "metadata": { + "hidden": true, "tags": [] }, "source": [ @@ -1641,7 +1682,9 @@ "cell_type": "code", "execution_count": 27, "id": "552fc5c1-3c95-445b-a91a-41e85d606a41", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "def ols(*args, eval_env=-1, **kwargs):\n", @@ -1650,9 +1693,10 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "id": "6768710f-e796-4452-8c52-1ca6f484f170", "metadata": { + "hidden": true, "tags": [] }, "outputs": [], @@ -1664,9 +1708,11 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "id": "4be7d27c-bfdf-42c5-8820-62bc0ed65ca8", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "ols('np.log(Y) ~ C(Group)', data=dataframe);" @@ -1674,9 +1720,11 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "id": "c55b7dd6-a22c-46af-aabb-6128441aa228", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "del C\n", @@ -1689,16 +1737,19 @@ }, { "cell_type": "markdown", - "id": "e2656c98-8830-42c4-b4eb-31ecbdab82de", - "metadata": {}, + "id": "88c895a7", + "metadata": { + "hidden": true + }, "source": [ - "``ols('Y ~ I(2 * X + 3)', data)``" + "Other issue: if a variable name is a Python reserved keyword (*e.g.* *yield*), the variable must be renamed." ] }, { "cell_type": "markdown", "id": "59e28a7a-e821-480b-afd7-8604611f4185", "metadata": { + "heading_collapsed": true, "jp-MarkdownHeadingCollapsed": true, "tags": [] }, @@ -1709,16 +1760,20 @@ { "cell_type": "markdown", "id": "387ae6c6-5458-44aa-8253-5132e59b60a4", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Let us borrow and adapt the following data example from [statology](https://www.statology.org/two-way-anova-python/):" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "id": "4d947388-de44-4f13-b2c0-e8b392856b79", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "plant_data = pd.DataFrame({'water': np.repeat(['daily', 'weekly'], 15),\n", @@ -1733,16 +1788,20 @@ { "cell_type": "markdown", "id": "5c99a247", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Note: we will treat sun exposure as a *cardinal* variable and disregard the natural order of the levels." ] }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 32, "id": "215e908f-2c5f-4ec3-9eb4-8cb67f75a2f6", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "plant_model = ols('height ~ water + sun', data=plant_data).fit()" @@ -1751,16 +1810,20 @@ { "cell_type": "markdown", "id": "905ce01a-84fd-49a1-aae8-f1b66a3dd320", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Again, we can use [anova_lm](https://www.statsmodels.org/stable/generated/statsmodels.stats.anova.anova_lm.html) to print a condensed table:" ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 33, "id": "cc06b3ed-a066-4de3-884c-a7c82729c359", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -1781,9 +1844,10 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 34, "id": "ff91aa79-fb03-4b42-9129-8d5abd2add43", "metadata": { + "hidden": true, "jupyter": { "source_hidden": true }, @@ -1799,8 +1863,8 @@ "Dep. Variable: height R-squared: 0.595\n", "Model: OLS Adj. R-squared: 0.548\n", "Method: Least Squares F-statistic: 12.71\n", - "Date: Mon, 04 Oct 2021 Prob (F-statistic): 2.64e-05\n", - "Time: 10:10:39 Log-Likelihood: -39.964\n", + "Date: Mon, 26 Sep 2022 Prob (F-statistic): 2.64e-05\n", + "Time: 01:44:33 Log-Likelihood: -39.964\n", "No. Observations: 30 AIC: 87.93\n", "Df Residuals: 26 BIC: 93.53\n", "Df Model: 3 \n", @@ -1831,16 +1895,20 @@ { "cell_type": "markdown", "id": "309fa360-4a14-4f5e-bbe3-eea72e1e8dc4", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "...and have a look at the coefficients:" ] }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 35, "id": "36130c37-c833-4953-9983-7c92bfdbe2e6", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -1852,7 +1920,7 @@ "dtype: float64" ] }, - "execution_count": 47, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -1864,16 +1932,19 @@ { "cell_type": "markdown", "id": "12fc1dcd", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "If we plot them together with the data...:" ] }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 99, "id": "9ea0c1f5-fb3f-4110-b824-9a7c6018c35e", "metadata": { + "hidden": true, "jupyter": { "source_hidden": true }, @@ -1882,20 +1953,18 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.boxplot(data=plant_data, x='sun', y='height', hue='water')\n", - "ax = sns.swarmplot(data=plant_data, x='sun', y='height', hue='water', dodge=True, color='k');\n", + "ax = sns.swarmplot(data=plant_data, x='sun', y='height', hue='water', dodge=True, palette='dark:k');\n", "#ax.legend([], frameon=False);\n", "\n", "# redraw the legend\n", @@ -1906,9 +1975,10 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 37, "id": "4f4785b3-b798-416a-9a53-1d5b873117ce", "metadata": { + "hidden": true, "jupyter": { "source_hidden": true }, @@ -1917,14 +1987,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -1951,7 +2019,9 @@ { "cell_type": "markdown", "id": "ee8754fe", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "...we can appreciate the equal daily-weekly differences do not quite match the variability across the levels of the `sun` factor.\n", "\n", @@ -1964,9 +2034,11 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 38, "id": "60de13e5-b798-4312-8d06-0ef79f480760", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -1990,16 +2062,20 @@ { "cell_type": "markdown", "id": "bec6f02b", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Argument `typ` specifies the type of sum of squares. Type 3 is often used for ANOVA because it does not depend on the order of the factors." ] }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 39, "id": "6141c9fa-aab9-45d5-91e3-a41e8fe8587d", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2013,7 +2089,7 @@ "dtype: float64" ] }, - "execution_count": 51, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -2024,20 +2100,20 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 40, "id": "b4de4c0a-ada5-4df1-98bc-43bc7f038cc4", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -2064,7 +2140,9 @@ { "cell_type": "markdown", "id": "101b2d2f", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "`statsmodels` features a `interaction_plot` helper function.\n", "\n", @@ -2073,9 +2151,10 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 41, "id": "811df467-f3ec-4ae4-939c-a8917c2f9d04", "metadata": { + "hidden": true, "jupyter": { "source_hidden": true }, @@ -2084,14 +2163,12 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -2121,7 +2198,9 @@ { "cell_type": "markdown", "id": "846a640e", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "### Treating interaction" ] @@ -2129,7 +2208,9 @@ { "cell_type": "markdown", "id": "c2a6451f", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "As we found significant interaction, we should rerun the ANOVA in the shape of one-way ANOVA, with one factor, for each level of the other factor, and possibly vice-versa." ] @@ -2137,7 +2218,9 @@ { "cell_type": "markdown", "id": "3fe8ac1f", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "<table><tr><td><img src=\"img/two-way-anova-interaction-significant-flowchart.png\" /></td></tr>\n", "<tr><td><a href=\"https://www.spss-tutorials.com/spss-two-way-anova-interaction-significant/\">SPSS recommendation for two-way ANOVA interaction</a></td></tr></table>" @@ -2145,9 +2228,11 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 42, "id": "c380d42c", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "daily_water_model = ols('height ~ sun', data=plant_data[plant_data['water']=='daily']).fit()\n", @@ -2160,7 +2245,9 @@ { "cell_type": "markdown", "id": "a39e6bd5", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "If main effects are found to be significant, we can proceed to performing post-hoc tests." ] @@ -2168,7 +2255,9 @@ { "cell_type": "markdown", "id": "5ec1da0e-1bd1-42af-8a6e-c4effe40cef0", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "### Types of sums of squares\n", "\n", @@ -2203,6 +2292,7 @@ "cell_type": "markdown", "id": "48953eb2-9d8b-42e4-b086-144f07a54359", "metadata": { + "heading_collapsed": true, "jp-MarkdownHeadingCollapsed": true, "tags": [] }, @@ -2212,9 +2302,11 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 43, "id": "93ccdd87", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2222,7 +2314,7 @@ "0.03098093333325329" ] }, - "execution_count": 58, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" } @@ -2233,9 +2325,11 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 44, "id": "d1392464", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2318,7 +2412,7 @@ "med-low 0.254253 False " ] }, - "execution_count": 59, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } @@ -2330,9 +2424,11 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 45, "id": "8724bf04", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2340,7 +2436,7 @@ "0.001224005685747233" ] }, - "execution_count": 60, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -2351,9 +2447,11 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 46, "id": "6dc3a0ad", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2436,7 +2534,7 @@ "med-low 0.040988 True " ] }, - "execution_count": 62, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -2449,7 +2547,9 @@ { "cell_type": "markdown", "id": "98126f2f", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Problem: with `t_test_pairwise`, the correction operates per factor. We already performed a total of 6 comparisons, therefore we should correct considering this number. We may even perform more comparisons..." ] @@ -2457,16 +2557,21 @@ { "cell_type": "markdown", "id": "62d4382a", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### The multiple comparisons problem" ] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 47, "id": "7f395588", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "power = 0.8\n", @@ -2476,29 +2581,30 @@ { "cell_type": "markdown", "id": "167951da", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Red pixels represent the tests (comparisons) for which $H_0$ is false (right figure) or rejected (left figure):" ] }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 48, "id": "8642f0e6", "metadata": { + "hidden": true, "tags": [] }, "outputs": [ { "data": { - "image/png": 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0AAAwsOru5Str1/KVg1ltcJtBbHDoHK4DfLtPq60uw3axk+4pAFth2T1FCz0AAAxMoAcAgIEJ9AAAMDCBHgAABibQAwDAwNac5QYAANjetNADAMDABHoAABiYQA8AAAMT6AEAYGACPQAADEygBwCAgf0fvpQ8sHBYhQAAAAAASUVORK5CYII=\n", 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"text/plain": [ - "<Figure size 957.6x295.2 with 2 Axes>" + "<Figure size 1330x410 with 2 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -2519,7 +2625,9 @@ { "cell_type": "markdown", "id": "6bdba34b", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The top right group of tests with false $H_0$ is affected by type-2 errors, or equivalently by the power of the test (`power = 1 - type2_error_rate`).\n", "\n", @@ -2532,9 +2640,11 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 49, "id": "e6c92946", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2612,7 +2722,7 @@ "Residual 19.524000 24.0 NaN NaN" ] }, - "execution_count": 67, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -2624,7 +2734,10 @@ { "cell_type": "markdown", "id": "48d0f081", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### multipletests" ] @@ -2632,7 +2745,9 @@ { "cell_type": "markdown", "id": "b7ea24c3", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "If we consider all 5 factored models, we may proceed to performing up to 9 comparisons, but again `t_test_pairwise` would not properly take this into account.\n", "\n", @@ -2643,9 +2758,11 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 50, "id": "1b9e153d", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2653,7 +2770,7 @@ "7" ] }, - "execution_count": 69, + "execution_count": 50, "metadata": {}, "output_type": "execute_result" } @@ -2679,9 +2796,11 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 51, "id": "2fe99f26", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -2816,7 +2935,7 @@ "weekly-daily[sun=low] -1.636487 0.002279 True " ] }, - "execution_count": 70, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -2828,22 +2947,21 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 52, "id": "25b21f28-f70d-466e-bbb6-8a6fc86b3696", "metadata": { + "hidden": true, "tags": [] }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -2861,7 +2979,9 @@ { "cell_type": "markdown", "id": "748acdc4", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Beware: the confidence intervals from [t_test_pairwise](https://www.statsmodels.org/stable/generated/statsmodels.regression.linear_model.OLSResults.t_test_pairwise.html)'s table are not corrected for multiple comparisons." ] @@ -2869,7 +2989,10 @@ { "cell_type": "markdown", "id": "f436837b", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Bonferroni, Å idák and Holm" ] @@ -2877,7 +3000,9 @@ { "cell_type": "markdown", "id": "aecb5d85-20d7-4261-a572-b6c891cb8aff", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "[multipletests](https://www.statsmodels.org/stable/generated/statsmodels.stats.multitest.multipletests.html) implements several correction procedures. The Holm correction with Å idák adjustments is the default method (`holm-sidak`).\n", "\n", @@ -2900,6 +3025,7 @@ "cell_type": "markdown", "id": "f8cd7dd0-9c93-427f-b254-8098bd95e3c3", "metadata": { + "heading_collapsed": true, "jp-MarkdownHeadingCollapsed": true, "tags": [] }, @@ -2911,6 +3037,7 @@ "cell_type": "markdown", "id": "929d319e", "metadata": { + "hidden": true, "tags": [] }, "source": [ @@ -2920,16 +3047,21 @@ { "cell_type": "markdown", "id": "a8bf953c", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Ordinary Least Squares" ] }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 53, "id": "b350dec1", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -3126,7 +3258,7 @@ "[5 rows x 31 columns]" ] }, - "execution_count": 73, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } @@ -3138,20 +3270,20 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 54, "id": "67e86aec", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3161,9 +3293,11 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 55, "id": "8bd68586", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -3174,8 +3308,8 @@ "Dep. Variable: Response R-squared: 0.642\n", "Model: OLS Adj. R-squared: 0.640\n", "Method: Least Squares F-statistic: 354.9\n", - "Date: Mon, 04 Oct 2021 Prob (F-statistic): 4.97e-46\n", - "Time: 11:34:46 Log-Likelihood: -103.52\n", + "Date: Mon, 26 Sep 2022 Prob (F-statistic): 4.97e-46\n", + "Time: 01:44:36 Log-Likelihood: -103.52\n", "No. Observations: 200 AIC: 211.0\n", "Df Residuals: 198 BIC: 217.6\n", "Df Model: 1 \n", @@ -3199,7 +3333,9 @@ { "cell_type": "markdown", "id": "634c5b3f", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "<p style=\"font-size: x-small;\">Data set and choice of an explanatory variable inspired by the RS3 session about linear models on <a href=\"https://moodle01.hosting.pasteur.fr\">Institut Pasteur's Moodle</a></p>" ] @@ -3207,27 +3343,30 @@ { "cell_type": "markdown", "id": "0c7020dd", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Regression plot" ] }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 56, "id": "50155198", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3246,32 +3385,11 @@ }, { "cell_type": "code", - "execution_count": 80, - "id": "570cd637-e086-4873-8f9b-812665f629be", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sns.regplot(data=patients, x='CHUK', y='Response');" - ] - }, - { - "cell_type": "code", - "execution_count": 87, + "execution_count": 57, "id": "215fb86c-3a14-45b7-ad65-9cfeafc410d4", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -3281,7 +3399,7 @@ "dtype: float64" ] }, - "execution_count": 87, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" } @@ -3293,7 +3411,9 @@ { "cell_type": "markdown", "id": "65111a8d", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Similarly to previous OLS applications, the coefficients of the model can be found in the `coef` column.\n", "\n", @@ -3307,7 +3427,10 @@ { "cell_type": "markdown", "id": "d69a88dd", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Residual plot" ] @@ -3315,7 +3438,9 @@ { "cell_type": "markdown", "id": "a0bbd0e7", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "To assess the adequacy of the model, we inspect the residuals $\\epsilon_i$ in various.\n", "First, we plot the residuals *vs* the explanatory variable:" @@ -3323,20 +3448,20 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 58, "id": "bc471543", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3353,7 +3478,9 @@ { "cell_type": "markdown", "id": "e15946b2", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The most distant points may be outliers.\n", "\n", @@ -3366,7 +3493,9 @@ { "cell_type": "markdown", "id": "fce469df", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "<table width=60%><tr><td><img src=\"img/heteroskedasticity.png\" /></td></tr>\n", "<tr><td><a href=\"https://towardsdatascience.com/heteroscedasticity-is-nothing-to-be-afraid-of-730dd3f7ca1f\">\"Heteroscedasticity is nothing to be afraid of\" - Sachin Date</a></td></tr></table>" @@ -3375,7 +3504,9 @@ { "cell_type": "markdown", "id": "777daba8", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Criterion: the residuals should be normally distributed." ] @@ -3383,18 +3514,65 @@ { "cell_type": "markdown", "id": "3ad9d670", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, + "source": [ + "### QQ plot" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "0d7780a9", + "metadata": { + "hidden": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sm.graphics.qqplot(model.resid, fit=True, line='45', fmt='b', marker='+');" + ] + }, + { + "cell_type": "markdown", + "id": "59367b93", + "metadata": { + "hidden": true + }, + "source": [ + "Note: `statsmodels`'s `qqplot` compares with R's qqplot as long as `fit=True` to standardize the residuals.\n", + "`fit=True` makes `qqplot` differs from `scipy`'s `probplot`." + ] + }, + { + "cell_type": "markdown", + "id": "58d0ea09", + "metadata": { + "hidden": true + }, "source": [ - "### QQ plot\n", - "\n", "Complete OLS output:" ] }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 60, "id": "5492f4e8-2ac8-4ba7-9a6c-241f33994998", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -3405,8 +3583,8 @@ "Dep. Variable: Response R-squared: 0.642\n", "Model: OLS Adj. R-squared: 0.640\n", "Method: Least Squares F-statistic: 354.9\n", - "Date: Mon, 04 Oct 2021 Prob (F-statistic): 4.97e-46\n", - "Time: 11:39:14 Log-Likelihood: -103.52\n", + "Date: Mon, 26 Sep 2022 Prob (F-statistic): 4.97e-46\n", + "Time: 01:44:37 Log-Likelihood: -103.52\n", "No. Observations: 200 AIC: 211.0\n", "Df Residuals: 198 BIC: 217.6\n", "Df Model: 1 \n", @@ -3435,51 +3613,20 @@ { "cell_type": "markdown", "id": "973f809c", - "metadata": {}, - "source": [ - "The hypothesis of normality of the residuals is rejected. This can be confirmed with a qqplot:" - ] - }, - { - "cell_type": "code", - "execution_count": 90, - "id": "0d7780a9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sm.graphics.qqplot(model.resid, fit=True, line='45', fmt='b', marker='+');" - ] - }, - { - "cell_type": "markdown", - "id": "59367b93", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ - "Note: `statsmodels`'s `qqplot` compares with R's qqplot as long as `fit=True` to standardize the residuals.\n", - "`fit=True` makes `qqplot` differs from `scipy`'s `probplot`.\n", - "\n", - "The small but consistent deviations from the regression line near the distribution mode may result from asymmetries, while deviations at the distribution tails may reflect departures from normality in terms of kurtosis.\n", - "\n", - "The points at the tails are of interest, also because they may be outliers." + "The hypothesis of normality of the residuals is rejected." ] }, { "cell_type": "markdown", "id": "7e8cf02d", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Influence plots" ] @@ -3487,16 +3634,20 @@ { "cell_type": "markdown", "id": "345ad8a8", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "To identify outliers and influential points, `statsmodels` features more [diagnostic measures and plots](https://www.statsmodels.org/stable/generated/statsmodels.stats.outliers_influence.OLSInfluence.html):" ] }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 61, "id": "e79b930e", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "from statsmodels.stats.outliers_influence import OLSInfluence\n", @@ -3505,9 +3656,11 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 62, "id": "3cab691b", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -3697,7 +3850,7 @@ "[200 rows x 8 columns]" ] }, - "execution_count": 92, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" } @@ -3708,20 +3861,20 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 63, "id": "7f143230", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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xTc7xv//9j/T0dEaOHInH42H58uXcfPPNjB8/njFjxnTYvSgUCoVCoVA0x7jTL+VQzxQKKgL0SPdy0/FDmTa+JwAej4eKiopmj3vmmWc60Mr2o8s6HVLKecC8eMauK6rB42zf1KoYQgh0TbC5tFY5HQliwYIFDbpMPfbYYzz22GMcccQRzJs3D7B7Wr///vs88cQTzZ5D13X+8pe/sGHDBgzDoHfv3pxxxhncdNNNaFqXCugpFAqFQqH4mfHW4u3c8sYyAhETgO0VAW55YxlAneOxv9NlnY62UBsySHZ33K1ICbVhY/cDFXExderU3aar9ezZs0HeY2MuuugiLrrookSbplAoFAqFQrHXzPhoTZ3DESMQMZnx0ZqfjdOxXywBd0Z5hSrpUCgUCoVCoVDEQ0FFoE3b90f2C6fD69IxO9ALEMK+pkKhUCgUCoVCsTt6pHvbtH1/ZL9wOgbmJBOMtElLcK+wLOib6euw6ykUCoVCoVAo9l1uOn4o3kb1x16nzk3HD+0kizqe/cLpGNMrnbDRMU6HYVq4nRo5KaqIXKFQKBQKhUKxe6aN78n9Z46mZ7oXAfRM93L/maN/NvUcsJ8Uko/plYaudUzL3OqQwcEDsjpEE0ShUCgUCoVCsX8wbXzPn5WT0Zj9ItIxumcamUkuAmFz94P3AiklSMEZ43u163UUCoVCoVAoFIr9if3C6dA0wTkTelHbzk5HbdgkO8XF2F5p7XodhUKhUCgUCoVif2K/cDoAThiVR26qm+pg++hnWFISjFj84eghKrVKoVAoFAqFQqFoA/tFTQeAx6lzy4nDuf7VJRiWxJHgGo+K2ghHD89lUv/MhJ5X0fGEDJMtpbXsrAoSNiwipoVD03A5NLKSXQzITlYtkRUKhUKhUCgSyH7jdACM6pnGrw7uy/PfbybD50pYcXlFbYTuqR6uPHJQQs6n6FhqQgbfri/hp/wKVhRUUVARQNc0kBILW+gx9qeiCYhYkm4pHkb0SGVsr3QOHZhFRpKrU+9BoVAoFAqFYl9mv3I6AM4/pC/+kMEbi7eT5nXg1Pc8g0xKSXlthNwUN389ZyypHmcCLVW0NxuKa3hnSQEfr9yBaUkE4HHpZPicrabISSmpCUX4cm0Rn68u4p+fCaYMzmba+J6MyEtV6XUKhUKhUCgUbWS/czqEEPxu6kCyU9w8/fUmBCapXkebJ4phw6I6aDCqZxq3nzKCTLXSvc+woqCSf3++nnVFNQCkehw42uB8CiHwOHU8UREf05J8sbaYL9aW0DPdw++mDlJpdgqFQqFQKBRtYL9zOsCeNJ4zoTcT+2Vy/5xVbCmtRdMgxeNA243zEYyY1IZNnLrG748exMmje6B1kAaIYu8IRkye+WYzby7Ox6GJ3UY04kXXBJlJLqSUFNeEuO3NZRw1LJerjhqkol8KhUKhUCgUcbBfOh0x+mcn8Z9fH8jCLeXMWriNJdsq0aM5+y5dRCekkogpEYioY+LkVwf15dgR3Uj3qejGvsKKgkrun7OKoqoQaT5nu4hFCiFIdjvwuSSfryliwZZy/nj8UA4akJXwaykUCoVCoVDsT8TldAghhgDpUsofoq+9wJ+BUcBHUspH28/EvUPXBJP6ZzKpfyYlNSHW7axhXVE164tqCIRNHLogN8XDyB6pDMhJon92coepmysSwztLtvPo5+tx6hqZye3vKGrCjnzUhg2mv7WcX07qw0WH9VO1HgqFQqFQKBQtEG+k41FgCfBD9PVfgKuBZcDDQggppXws8eYlluxkN9nJbg4ZqFam9weklLz0w1ae+WbzXjcN2BN8Lgduh+TlH7ZSHYzw+6MHK8dDoVAoFAqFohninaWNBb4BEEJowPnAzVLKA4F7gcvaxzyFomVmL8znmW82k94JDkcMPVo78u7SQh7/YgNSyk6xQ6FQKBQKhaIrE+9MLQ0ojf48HsgAZkVfzwMGJNYshaJ1Pl21kye+3Eiat22dqdoDLep4zF60nVd/3NaptigUCoVCoVB0ReKdre0EYsp4xwEbpJSx2VUyYCTaMIWiJYqqgjz8yVqS3XqnRTgao2uCdK+DZ77ZzPpoq16FQqFQKBQKhU28M7Z3gPuFEH8FbgBer7dvNLAx0YYpFM0hpWTGR2uIGBJ3VEejq+DQNTQN7p+zirBhdbY5CoVCoVAoFF2GeJ2OPwHvAcdjOyB/qbfvNODjBNulUDTLRyt2smRbBem+rtntOdXjYGtZLS//sLWzTVEo9guEECcIIdYIIdYLIf7UzP4pQohFQghDCHF2o30XCCHWRb8u6DirFQqFQtGYuGZuUko/cGkL+w5NqEUKRQuU+8M8+tk6kj16l+0SJYQgzevgpR+2MnVoDn2zkjrbJIVin0UIoQOPAccC+cCPQoh3pJQr6w3bClwI3Njo2EzgDmACIIGF0WPLO8J2hUKhUDSkayTEKxRx8NGKHYRNC7eja6VVNcahayDhjUXbO9sUhWJfZxKwXkq5UUoZBl4BTq8/QEq5WUq5FGic03g8MFdKWRZ1NOYCJ3SE0QqFQqFoSouRDiHEZ204j5RSHp0AexSKZjFMi1kL8/G5urbDESPFozN35U4unTKAZHfXTAVTKPYBegL1W8LlAwftxbE9mxsohLiMaOv3Pn36tN1KhUKhUOyW1iIdGiDi/FIRE0W7smBLOdXBCJ4uVjzeEg5dw7Qk81YXNdj+5Zdfcvrpp9O3b1+EENx7771Njq2treVPf/oT/fr1w+Vy0bNnT+6+++6OMl2h+NkhpfyvlHKClHJCTk5OZ5ujUCgU+yUtOgtSyqlSyiPj/UqEMUIIjxDiByHET0KIFUKIuxJxXkXrlJSU8Lvf/Y4ePXrgdrvp378/Tz75ZN3+jz76iEMOOYTs7Gw8Hg8DBw5k+vTphMPhDrPx9YXb0LSuWcfREm6n4JUftzUQDKypqWHEiBE89NBDdO/evckxpmly8sknM3fuXJ544gnWrl3LO++8w0EHxbu4q1DsV2wHetd73Su6rb2PVSgUCkWC6Wp5HyHgKClljRDCCXwthPhASvl9Zxu2v1JTU8OUKVPo2bMnL7/8Mn379qWwsBDTNOvGpKam8oc//IFRo0aRkpLC4sWLueyyy/D7/Tz88MPtbmMwYrJsWyUZSc52v1Yi8Tp1imtC7KgKkpfmBeCkk07ipJNOAuDmm29ucszMmTNZuHAh69evJzc3F4B+/fp1mM0KRRfjR2CwEKI/tsPwC+C8OI/9CLhPCJERfX0ccEviTVQoFApFPLTJ6Yh+eA8GPI33SSm/3FtjpL0kHFNWc0a/ZMtHKPaWGTNmUFtby3vvvYfb7QaaTnIPOeQQDjnkkLrXffv25YsvvmDevHkdYuOmEj+6Lrpsx6qWEEIggI3F/jqnY3fMnj2bSZMm8cgjjzBz5kycTidHH300DzzwAFlZWe1rsELRxZBSGkKIq7EdCB14Wkq5QghxN7BASvmOEGIi8CaQAZwqhLhLSjlSSlkmhLgH23EBuFtKWdYpN6JQKBSK+JwOIYQHeBo4B7uGozkSkmwfbZG4EFsB/TEp5fxEnFfRPLNnz2by5Mlcd911vPnmm6SlpXHqqady11134fP5mj1m9erVfPDBB3Ur9u3NphI/prVv+p6GKVmzo5rDBmXHNX7Dhg1s2rQJTdN4/fXX8fv9XHfddUybNo0vv/xyn3O8FIq9RUo5B5jTaNuf6/38I3bqVHPHPo397FIoFApFJxNvpON2YCpwAfA8cBUQxO6Nngf8IVEGSSlNYJwQIh14UwgxSkq5vP4Y1WkkcWzYsIH169dz9tln8+6771JQUMDVV19NQUEBL774YoOxvXr1ori4mHA4zBVXXMFf//rXDrFx2fZK9tW5tsel8VN+RdzjLctCSskrr7xCZmYmAE8//TQTJ05k8eLFHHDAAe1kqUKhUCgUCkX7Ea/TcRZwN3aP9OeB+VLKRcAzQojXsXuff5BIw6SUFUKIz6PnXt5o33+B/wJMmDBh31wC7yJYlkVWVhbPPPMMTqddMxEOh/m///s//vWvf9VNfAG++uoramtrWbx4MTfffDO5ubncdVf71/qvKqzaZ7pWNcbj1NhQVLP7gVHy8vIIhUIN3veRI0cCsGXLFuV0KBQKhUKh2CeJt9VtH2BFNAoRAerLLD8NnJsIY4QQOdEIB0IIL7YK7epEnFvRPHl5eQwZMqTO4QAYPnw4AGPHjsXr9dKnTx9+//vfk5uby8iRI/n1r3/NX//6V+655x6GDRuGz+cjLy+PCy64gJ07dybcxuqggWMf61wVQxeCQMTEijM97PDDD6ewsJDKysq6bWvWrAFUQblCoVAoFIp9l3idjlIgOfrzNmBsvX3ZQHxVsrsnD/hcCLEUu/hvrpTyvQSdW9EMhx9+OOvXr8cwjLptDz30EAD33nsvq1at4sknn2TWrFlcf/31dWO+++47pJT87ne/Y+XKlbz++ussXLiQ888/P+E2Rgxrn02vEsIugI9YtlhyTU0NS5YsYcmSJYTDYXbs2MGSJUtYv349AFdeeSU+n4/zzz+f5cuX88MPP3DppZdyxBFHMG7cuE68E4VCoVAoFIo9J16n43tgfPTn2cA9QohbhBA3ATOArxNhjJRyqZRyvJRyjJRylJRSKaK1MzfeeCPFxcVceeWVrF69ms8//5xZs2bRp08fLrjgAvr168fy5cs56KCD+Oqrr1i/fj2vvPIKTz/9NGlpafzhD3+gX79+TJ48mcsvv5wffvihnSzdR70ObMtjUh0LFixg/PjxjB8/nsLCQh577DHGjx/PJZdcAtiRp88++4yqqiomTpzIGWecwbhx43jjjTdUEblCoVAoFIp9lnhrOh7ETrECuBe7s9Td2B2rvgd+l3jTFB3B2LFjmTNnDn/6058YN24c3bt3Z+LEiaxatYqlS5cyZswYdu7cyZw5c7Asi/Hjx9O3b19OO+003nrrLebNm8cRRxzBzp07mTVrFieffHLCbXQ6tKjA3r436ZZSYkmJS7f9+6lTpzYQC2yO8ePH8/nnn3eEeQqFQqFQKBQdQlxOh5RyAbAg+nM1cJYQwg24pZRV7WifogM4+uij+fHHH+teSyn5y1/+wgEHHIAQAsMwuPTSS3niiScarLY/9dRTnHTSSUQiEQzD4OSTT+app55KuH0+p051KMK+WEtuSXA5tH1OTV2hUCgUCoUikcSbXtUEKWVIORz7J7NmzeLf//43zzzzDIsWLeL111/ngw8+YPr06XVjvvrqK2699VZmzJjBwoULmTNnDps3b+biiy9OuD1DuqcQjFgJP29HEIyY9M9O3v1AhUKhUCgUiv2YeMUBd1sdLKWcuffmKLoCN9xwA3/4wx/4zW9+A8Do0aMJBAJcfPHF3H777Xg8Hm677TbOPPNMrrrqKgDGjBlDcnIyU6ZM4a677mLQoEEJs2dMzzS+XFucsPN1JMGIxeieaZ1thkKhUCgUCkWnEm9Nx7MtbK+fnK6cjv0Ev9+PpjUMgum6jpSyrh6hpTHAbmsW2sqAnGQc+r6ZnqRrgmF5KZ1thkKhUCgUCkWnEq/T0b+ZbVnAKcB5wK8TZpGi05k2bRp//etfGTRoEOPHj2fNmjVMnz6dE088Ea/XWzfm/vvvZ9KkSUyZMoX8/HyuvfZaxowZw8CBAxNqT/+cJEzLdnji6eBUtHYxaz55mYpt66gt28mo0y5l5MkX1e2vLNjI8nefoiJ/HTXF2+l/6ClMOv+WFs8XqCzl43svIFhVxqkPvIUvI7dN9g9U6VUKhUKhUCh+5sRbSL6lmc1bgEXCngVej+18KPYD/vnPf5KZmckNN9xAQUEBubm5nHLKKdx77711Y2699VZ0Xee+++7jiiuuICMjgyOPPJL777+/SQRkb0l2OxiQnUx+eS3Jnt3/yRqhAGl5/ek78TgWv/ZI0/3hIL7MbvQcO5k1n7zS6rmkZfH9U3eS2W8EBUvb1hk6GDFJdjvomZEoGRuFYt9CCNETuAGYAmQCp0kplwshrgW+k1LO70z7FAqFQtFxxBvpaI2vsJ0OxX5CUlISM2bMYMaMGS2O0XWdW2+9lauuu4lVhVWs21nD0vwK/vzpDgyzAIeukZPsZkyvdAZ3S2Z4XippXmeL59sd507szQMfrIprbI/Rh9Jj9KEA/PTmv5vsz+o3gqx+IwDY+E3r2pMr3n8GzeFkyDHnttnpqA2bXHxYH/QO7lwVS29Tuh6KzkQIMRL7+WAC32FrPbmiu/sCk1CLVQqFQvGzIRFOx8FATQLOo9hHkFKyekc1by3ezhdrixGAYVm4HBpOXUMIWwyvuDrIkm3lODQNCUwdmsPp43oyrHtKmyfEhw7KwuXQCRv2dTqCnWsWsvHrdzjutmeoKtzcpmNNy04FO25k9/YxDvv3sLm0lg1FNawoqGR5QRX55bVEDImFxKEJkt0OhnRLYVzvdAblJjMsL5VkdyL+7RWK3fI3YBVwPBAEwvX2fYut/6RQKBSKnwnxdq/6czObXcAo4GTg0UQalQi+/PJL/va3v7FkyRK2bt3KPffc06DlK0BtbS133303r7zyCgUFBeTk5HD55Zfz5z/btztv3jyOPPLIJud+8skn6xSkf24UV4f468drWLK1HAmkeZ0truR76glrmJbks9VFfLa6iPF9MrjxuKHkpLjjvq7boXP6uB68umAbWQ7X7g/YS4JVZcx/+i4mXXg7ntTMNjsdVQGDyYOzyUxKvK2BsMmX64p57cdt5FcEQEok9vud7HageXaNNSzJ0u0VLNhSjlMXgOCY4bmcPq4nA3OSVDRE0Z5MBn4ppawRQjRW2dkJtJ9HrlAoFIouR7xLnnc2sy2EXdfxF+D+RBmUKGpqahgxYgTnnXce1157bZP9pmly8sknU1VVxRNPPMHQoUMpLS2lpKSkydhFixaRl5dX9zot7efXAlVKySerdvLPT9cRNiXpPmebJqy6JshMciGlZMnWci5+9gd+f/RgjhneLe7znDwmj1kL84mYFk69faMd3z91J/0OPpHuwye2+VjLkkgkZx3QK6E2hQ2LV3/cyqsLthGJRnzSvY5W3z+nLhq8V4Zl8dGKHXy0YgcDc5K57tghDOmmumsp2oXWxHWygUBHGaJQKBSKzifeQvKOyWdJICeddBInnXQSADfffHOT/TNnzmThwoWsX7+e3Fy7G1G/fv2aPVdOTg7du/98F+WklDz77WZemr+VZLdO0l6k5wghyEhyEYyYPPThGvLLA1x4aL+4HI+8NC+/Obgvz367mcyktjk9bWXn6gUUrV3M6o9fsjdE6yTeu/Us+h92ChN/3fRvKkZFIMIJI7szokdqwuxZX1TNfXNWs62sllSvY49TpByaVuf8bS71c/VLizh3Ym9+fXBf3I59UPJd0ZX5AbgIeLeZfecA33SsOQqFQqHoTH62yd2zZ89m0qRJPPLII8ycOROn08nRRx/NAw88QFZWVoOxkydPpra2lkGDBnH55Zdz/vnn/2zSUqSUPPftZl6cv5UMX8upVI0xLUkwYhIx7VV/gcCpCzxOHV2zvzt1jRfnb0UTggsO7dfiuRqnyh145hU4Dv8lab5dhelGOMiK955m64JPCFaU4E5JZ+Dh0+r2l29dw+LX/0lV4WYigRo8KZn0GDsZyzSavebxf36+weuyzav4ceZ9HPH7h0nN69uirf6QQbrXxWVHJKZtsJSSF77fygvfb0HTSJizJYQgzevEsCxe/WEbX64t4e7TR9I3KykBVisUANwDfCKE+Bh4CVvX6RghxB+AM7A7WikUCoXiZ0KLTocQok9bTiSl3Lr35nQcGzZsYNOmTWiaxuuvv47f7+e6665j2rRpfPnllwghyMvL47HHHmPChAlomsYHH3zAZZddxvr167nnnns6+xY6hK/WFfPi/K2kx+FwhAyT0powFbURIqaFECIaIJCAQAiJlODUNTJ8TjKT3aT7nLzw/RYG5iQxeXBOs+dtnCp3xJAcVkBdmpVlmXz1rxuJBP1M+NUf8abnUrl9PeHaaizDIFhVRk1JAXkjD2H8OdficHvZueoHVn34PJGAH09KJuXb1qLpTtJ62JI06T0bOg3hmkoAUrr3wZvevJ2WJQlGLO46fVhCirVNS/LIJ+uYs6yQdJ8DRzuklDk0jcxkF0VVQX7/ymIeOmssQ7urdCvF3iOl/EIIMQ34B/B0dPMDwGZgmmqXq1AoFD8vREvq0UIIi4aK460ipeyU3IwJEybIBQsWtDqmX79+XHLJJQ0KyYcOHcrmzZspLCwkMzMTgAULFjBx4kQWLlzIAQcc0Oy57rjjDv72t79RXl6O07nnLWD3Bcr9YS589kdA4nW2/OsNRky2VwSoCRqAQBcgRPMtW21VczCjzkiKx0FWkhu3U+fZiyaS7mu98Dr2uxx03Pn87+tNZPicbPnufRa/9g9Ovuc1PKmZFK1ZxOd/v7rJsTlDxnPUDY/hLynkvdvOarLfl9WdU+97o8n2orWLWfbW45RsWAbQRGwQYN3ns1nz+SzCFTvJykjnuOOO46GHHqJbt251Y0zTZMaMGTzzzDNs3ryZtLQ0zjrrLP7zn/80+z49PHcdc5YXkulzonVA292aoIEQgofPHcegXCVo+HNBCLFQSjmhna8xCMgFSqWUa9rzWntLPM8UhUKhUDRPa8+U1pZjL2aX0+EGpgNVwGvs6jxyDpCCHUbfp8jLyyMUCtU5HAAjR44EYMuWLS06HYceeih33303xcXF9OjRo0Ns7Sz+9dk6gmGTjKTmnSspJcXVIQqrQiDtFq27S/0RQiAEaNhlEtVBg5qQSYrHwSOfrOWO00bFZdu5E3tTXBPi7SUF5C+eR1a/Eaz97DU2f/8hmu5gwORTGXPGlbiTmxb9J2Xncer9b/LdU3fiTk5n8u9a74NghALkDB7H4CP/r1mxwa0LPmXxa//glN/dzt+v+w07Cgu44oorOP/88/noo4/qxl144YV89913PPTQQ4wbN47q6mo2b97c7DVf+H5rhzocAMkeB9XBCH+c9RP/PX8C2cnxdxdTKFpDSrkeWN/ZdigUCoWi82gxX0NK+ayU8jkp5XPACGARMFpKebeU8gkp5V3YLXMXR/fvUxx++OEUFhZSWVlZt23NGnsBrqWCcrA7WXm9XrKzs9vbxE4lv7yWb9aXkuZr3i81LcnGYj+FlUF0QVSfo22TYyHszkqagMpAhNmLt7OhqDruY6+aOogTRnancmc+xeuXUrZ5FYdedi8Tf/0nSjet5Ov//InGkbxPHryMWVdP5d1bzsCVlMLBv71zt9fqMfpQxpzxO/pMPAatUXTLkpL81Uvo1m8Ir/9jOoMGDmDy5Mlcfvnl/PDDD3XjPv/8c15++WXefvttzjzzTAYMGMDYsWM5/fTTm1xv3c5qXvh+M+leR4c5HDFSPE78IYO/fbymyXun2HPuvPPOqMPd8Gv9ense/vTTT3PkkUeSnZ1NSkoKBx54IC+++GInW713CCEeFkI838K+54UQLauPKhQKhWK/I94k8V8CT8hGs5Do68fpgqqyNTU1LFmyhCVLlhAOh9mxYwdLliype8hfeeWV+Hw+zj//fJYvX84PP/zApZdeyhFHHMG4ceMAePjhh5k9ezarV69mzZo1/POf/+See+7hqquuwuVqf62IzuS9pYVIQGvGkbAsycYSPzUhA4cmmh3TFjQhcGqCQNjk2leXEDLM+I7TBDccN4Rkt46UkgMuvJPsAaPoNnwCk86/lZL1P1G+bW2DYw699B6Ou+1ZDrv8Pqp3bmPhiw/tsd1hw6LMH+HQww6jsnAz3339FVJKduzYwaxZszj55JPrxs6ePZsBAwbwySefMGjQIHr37s0555zD1q0NS6FChsl9c1aha6JdajjiId3nZMHmcj5ZtbNTrr+/0q9fPwoLCxt89e9v1xB99tlnnH766XzwwQcsWbKE8847j/PPP59XX321k63eK04DPm5h30fAtI4zRaFQKBSdTbzVrslA89Wzdp5ul2t5s2DBggbCfo899hiPPfYYRxxxBPPmzSMvL4/PPvuM66+/nokTJ5KZmclJJ53Egw8+WLdibxgGt956K9u2bcPpdDJo0CAeeeQRfvvb33bWbXUIIcPk/aWFpHia1nFIKdlaVktt1OFIVBcvIQQuXWPtzhoe+mA1008ZEde5hRAMH9AHYUZw+FIpr42Q7nWQ2mMAALWlO8jsM7RuvC/TrrFIzeuHJy2LTx+6nOEn/obU7v3aZG9FbQQh4MqpAzl93BSeHZTKSSedRCQSwTAMTj75ZJ566qm68Rs2bGDr1q3MnDmTJ598ErfbzW233cZRRx3F8uXL8XhsRb9XfrAF/7LaQVQwXoQQJLl1/vnpeg7ok0GWSrNKCLqut9h6+4UXXmjw+oYbbuCLL77gtdde49xzz+0I89qDnkBLDUbyo/sVCoVC8TMh3qXUecB9QogGSmlCiEnY4oDzEmvW3jN16tRo0XLDr3nz5tWNGT9+PJ9//jmBQIDt27fz5JNPNqjxuOmmm1izZg21tbVUVlaycOFCLr30UjRtn5MtaRNbSmsxrOYF+CpqI1QGIgl1OGLomkAT8MnqIr7bUBr3cYcffjjlJUX844whTOibQZk/Qun2TQAkZbWsrxIL3JmRcPxGSqgNmwzKTebJ8ydw5gG9+Pabr7n11luZMWMGCxcuZM6cOWzevJmLL7647jDLsgiFQsycOZMjjzySQw89lFdffZVNmzYxZ84cAGrDBq8t2Eaqp/M7WXucOqGIyXtLCzvblP2G/Px8evXqRa9evTjxxBP59ttvWx1fUVFBUlKXW89pC+XAoBb2DQJqOtAWhUKhUHQy8c6er8ZWIP9eCLFZCDFfCLEZ+A4IRvcr9hM2FvuxrKb5/BHTIr8igCba7nD4tyxj8yt3svof57PsrhMo+vKlJmNKf3yXjY9fzte3nchRBw7jl7/+DTt37qxLlZs7dy47d+7k73//Ow6Hg8MOOwzYlSp33ZWX8otBcEbPWpa89BAZA8ehZfdHSsmGr99h28LPqCrcTE1JAdt/+poFLzxAeu8hpPdsfl4UNiwCYZPakEFpTZjSmjASOKh/Jo/8Yjy9MnwA3HbbbZx55plcddVVjBkzhhNPPJH//Oc/vPTSS3XpfHl5eXZUZvjwuvPn5uaSnZ3Nli1bAPhybTERU7a72nq8JHkcvLV4O2GjNWFpRTxMmjSJZ555hvfff5+XX36ZrKwsDj/8cObOndvs+BdeeIHvv/+ea6+9tmMNTSyfANOFEN3qb4y+vhVo/uYVCoVCsV8SryL5JiHEMOBC4GAgD1iO7XQ8J6WMtJuF7YiU8mcj8tcWVhVWNbu9tCaMZe3ZpNgMB/Bk9yF91JEUfvR4k/2VK76k4MPH6X7i1fQcOQnhL+XrDx7l/PPP55ZbbmmQKhcMBgFYuXIlQINUuUmTJpGZmcmZJ57I//3uZj5a72dFQSW1Ycnaz56jtnQ70jTxZXaj57gpDDvuV4ho5CpiSsr9YaqCEWpDBqbc9Tfi1AWpXicCKKoOMX9jKZP6Z+LQNfx+f5Pol67bqWmxaMrhhx/Oc889x9q1axk2bJj9fpaWUlJSQr9+/ZBS8sqP23A7us7fo9uhUe4PM39TKYe3oKGiiI+TTjqpwevDDz+c/Px8ZsyYwbHHHttg39tvv82ll17KU0891WIXvX2E24EfgXVCiPfYlVJ1CvZi1fRWjq1DCHEC8AigA/+TUj7QaL8bmAkcCJQC50opNwshnMD/gAOwn3UzpZStt6rrwjz66KM8++yzLFu2jF/+8pc8++yzdftqa2u58cYbee2114hEIowdO5Yvv/yy84xVKBSKZog7jyPqWDwZ/donqQkZzFtdxKxF+RRWBDEsC7dDZ2zvNM4+sBfje2d0eLegrkhJTQiH3vB9sKSkpCYUtyJ5Y1IHTyJ18CQAdnzyVJP9/m0r8XTrT8YBJ6B7HOT16UOk+CR++PjZulS5+lx44YXk5+fXvY6lyjXmhANhW1ktcyf2YdFp57ChuIbYqSKmRTVQVhGkPBAmEDYRRFv6Ckhy6SR5HKTqBpHyAqgBy4iwdvM2bnj8LVKSUzj/hIM56ZTT+NuMB5k0aRJTpkwhPz+fa6+9ljFjxjBwoC0y+Mtf/pK//OUvXHzxxfzzn//E5XJx8803M2jQIE488UQ2RDuBpXs7P7WqPromeHtJgXI62oFDDjmE2bNnN9j2yiuvcOGFF/Lkk0/ym9/8ppMsSwzRif9E4G7gWCALKAHeBO6QUm7Z3TmEEDrwWPT4fOBHIcQ7UsqV9Yb9FiiXUg4SQvwCeBA4F/g/wC2lHC2E8AErhRAvSyk3J+4uO44ePXowffp0PvroIwKBQIN9l112GYZhsGrVKjIzM1myZEnnGKlQKBSt0LVmOO2EaUlmfruZ1xfmY1oSt1OQ5nMgAEvC4q0VLNpSQUaSkz+eMIwD+mR0tsmdimHaCuL1qQ4amBY49fZxypL6jKRs4Qf4Ny8lach4ZG0FWxd+zsFHHLPX5+6d6ePiyf25mP5YlmR7RYBNJX62ldfy5ZpiFm4tx+PQyPQ5cTt1vE4dt2NXC+DGYoPbvn6LbV+/RdbgccjUf5De/Wguvtrgvvvu44orriAjI4MjjzyS+++/vy4C4vP5+OSTT7j22muZOnUqPp+PI444gk8++QSPx8P69Tu6ZOTN53awurCqS9q2r7No0SJ69+5d9/rJJ5/kmmuu4bnnntuXi8cbEJ3gn78Xp5gErJdSbgQQQrwCnA7UdzpOB+6M/jwLeFTYf6wSSBJCOAAvEMbWmtonOfPMMwG7SUr9BZfVq1fzzjvvkJ+fT2pqKgAHHnhgp9ioUCgUrdGi0yGE2AicIaX8SQixidbVyaWUcmDCrUsApiX5y/sr+WpdCWleR5M2pLqwW4QC+EMGt8xeyi0nDmfqsNzOMDfhGKZFYWWQQMREE4LcVDepntaV1F0OrUlkoSZkYP8JtM/EM23E4ZhBP9te/jPbLIMFlknW8IOZ9vvE6k5qmqB3pg9NE/zvq40UVgbpn53UagQnd+gBnPtEy0W//pDBmu7H8PvHL+B3RwxsMVo2YMAA3nnnnWb3rSiobKd3du9waALDkuyoCpKX5u1sc/ZZrr/+ek455RT69etHVVUVTz75JHPnzuXtt98G7PbcN910U12HvR07dgDgcrkaNLf4GdIT2FbvdT5wUEtjpJSGEKISO6oyC9shKQR8wHVSyrJ2t7iD+eGHH+jbty933HEHzz//PHl5edx5552cddZZnW2aQqFQNKC1SMcX7FoV+oLWnY4uy+NfbOCrdSVkJjl3u1Kb5Hbg0E3u/3A1WcluRvdqqma9LxBLI3t/WSGbSvwI7DaoEolhSjKSXBzcP5PTxvVkUG5yk+N7Z3r5fmPDX7c/ZOy1Hkdr+LcsZ+dnz5J7zG/pOWw8yWYVi2Y9ysN/vp7Lj5qT0GttLa3luteW4A8ZZCXvfWvaJLcDj1Py5qLtVAUi/PGEYW1OQ1u+vRKPs2mL4q7CxmK/cjr2gsLCQs4//3yKi4tJS0tjzJgxfPLJJxx11FEAPPLII5imyRVXXMEVV1xRd1ysxfe+ihDiCGydpz6Ap9FuKaU8uh0vPwkwgR5ABvCVEOKTWNSkkZ2XAZcB9OnTpx1NSjz5+fksX76cs846i4KCAr777jtOPvlkRowY0aBxhUKhUHQ2LTodUsqL6v18YUcYI4TojV0Q2A3byfmvlPKRPT1fYWWAd5ZsJ923e4cjhtuhEzIs/j1vPf/5dceHqKWUlPrDBCMmLl0jO9kdd52JYVrMXpTPc99twTQlLocg1dNQ1VpKSdi0+HDFDj5csYNRPdO48bih9EjfNaEc1j21waRZSkkwYtFOmVUA7PjsWVKHHUbmxFPJzfSR5nNyoNPDF3+/ivXr1zNoUEudN9tGUXWQG15fQiBs1kW4EoGuCTKTnXy6uogkt4PfHz24Tcdvrwgk1J5EEjEtCioCux+oaJGXX3651f2bN2/uGEM6ECHE5cB/gDJgLXYHxAZD4jjNdqB3vde9otuaG5MfTaVKwy4oPw/4MFqPWCSE+AaYADRxOqSU/wX+CzBhwoR9aoHN6/XidDqZPn06DoeDI444giOPPJKPP/5YOR0KhaJLsVc1HUKILCll/IIKu8cAbpBSLhJCpAALhRBzGxUNxs2cZTuwJE1WncOGhT9kYkqJJmxHI8m9a5U5xe1gQ3EN64tqmo0EJBrDtPhxcznvLNnO8oIqwqaFJkQ0jx6GdEvh1DF5TB6c0+JqeFFVkDveWcH6ohpSvQ6cnuY7TAkhcDsEbocLKSUrCyq55LkF/P7oQZwwKg+A/tlNtQGklHVdntoDKxKEqGPocdn3GOsAZVl71rK1MhBhY3ENW8tq8YdMBJK3lhRQVBUiNzXxgneaEGT6nLz7UwET+2VyyMCsuI4zLYllNa/+3hUQwtYQUSjayA3AS8DFUso2iOE04EdgsBCiP7Zz8QtsZ6I+7wAXYHdTPBv4TEophRBbgaOA54UQSdidF/+xh3Z0WcaMGdNkm6q/UigUXZG4nA4hxKVAupRyRvT1aOADIE8IsRg4RUq5Y2+NkVIWYuffIqWsFkKsws7XbbPTETYs3lmynZR6QmvVQYOiqlC0PqEhTl2Qm+oh0+dC0wQCwbs/FXDdsUP2+H7iYVl+JQ98uIqSmvCujknuXSvepiVZX1TDjI/X8tjnG7j2mMFMGZLT4KFSVBXk968spqI2ElcaWQwhBOk+F2HD4m8fr6U2bHLmAb3oleElI8lFbcjA69KR7H1unRkOEC4rAECaBpGacgI7NqC5vLgze5A69BCKv34NX8+hRDyHUFVexOLXHiE5bwADBuwqF4p1ZSkrK6vT7wAYN24cAIGwyZdri3h1QT755bXomiBi2sKQNUGDstowTl2jqDqI16WTm+Ih1etI2IRf0wRel86Mj1bzzEWTSPPuPnphWrK9SmUSgsB+DxWKNtITeGYvHI5YjcbVwEfYLXOfllKuEELcDSyQUr4DPIXtWKzHjqr8Inr4Y8AzQogV2P9hz0gpl+7F/XQqhmFgGAamaWKaJsFgEIfDwZQpU+jTpw/3338/t9xyC/Pnz+fzzz/noYce6myTFQqFogHxRjquIRp6jvJ3oAK7NeHvsVsiXpZIw4QQ/YDxwPw9Ob7MHyZsWKT5nEhpp6+U1oQRAhy6qJvjmdJeZQ4ZFltLaymqCjK4Wwoep9aiXkUikFLy/PdbeOH7Lbh0jYwWUmt0TdQ5ToGIyb3vr+LojaXccNxQnLpGyDC5efZSKmoje5ye43JopHodPD5vA70yfEzqn8k5B/biP19swOvS7ZoQ9k7XJFCwlk3P3Vz3uuzHdyn78V2S+o5mwIUzyD38F1holH37Gh/O+RdOXyq5Q8bT98RLcTh2RXfGjx/f4Lyx15Zlp4z9+/MNhAwTt8N+T2P2mpZkR2UQt0OLRpEgGLHYUupH1wS9MrykeeN32FrD59Ipqwnz3Leb+f3Rg5FSUlRtO7tSgsep0T3VU9fUwKnbUa2u2iFKSom3C9ebKLosC4EBwKd7cxIp5RxgTqNtf673cxC7PW7j42qa276vcu+993LXXXfVvX7hhRe44447uPPOO3n77be55JJLeOCBB+jbty8zZ86s0wNSKBSKrkK8TkdfYDWAECINOAKYJqWcI4QoBRIquCSESAZmA9dKKZvM/OMp+gtEzLoJXMzhiDkbEjAsSdiwsBp1aaoOWizNr6BXhpdkd/t1FJ753Rae/34L6T4njjhrNmKtXD9ZVYRhSm47eTjPf7eF7RUBMpP2riDaqWt4XBoPfriaZy6ayFHDu/HfrzYSMS2cuobLoWGYco/rOpL7jWX0HR+2uF8KnZzDf8HIcy+rS4cLhE1yUhqmQTXuqgVQWhPij7OWsmRbBckenSR30/eivDaCJcEZPbcQAluHT2Baki2ltaR5nfTO9O2xFkl9fC6Nl3/Yypod1Wwu9WNYEl0IO2okJRLom+njwL4ZnDgqjyS3A9OSTfRRugJC2MKICkUb+T3wohBijZRSKdXtJeNOv5RDPVMoqAjQI93LTccPZdr4ngCMHDmS7777rpMtVCgUitaJd1atAbHE+snY8/Z50dfbgIT1l42qyM4GXpRSvtHcmHiK/jxOu+1rddBo4nAEwqad0kJdGYEd+RACEe3wtLW0logpCYRNvK7ErvIu3lrOC/UcDtOSVAYiFFeHiJgSS0q0qAp2ToqbNK+zbiKsCUFmkpMv1hbTN8vH6wvyEzYh9LkclPnDvDR/K1ccMZBfHdSX577dTGaSkySXg/LaMHo75AFJ7EhE9zRPgwl/IGIyqmfrHcR2VgW57tUllNSEWk0tK64O0VJJiq4JNGnXgISKahiYk9SktXK8hAyLwooAlYEIpiVZml9BtzRPE8fSsiQ7qgLMXuRn9qJ8asN244D2qDXZW5y61mydj0KxG94FUoHPhRC1QHmj/VJK2bfjzdr3eGvxdm55YxmBiAnYC2m3vLEMoM7xUCgUiq5OvE7HOuBk4DPsfNlvpZS10X09sPNo95qooNNTwCop5d/35lxZSW6cDo3t5QGEsJ0Kw5IEIib1F8vr/yyQaNh5+ZZl1wDc+e4K/jJt1B5PQhsTMkwe/HB1nVO0rSxAmT8MCDRhryrrmp3+EzYstpUFyBd2JKNbqhunbqcHJXscPPr5epLdjrgjJfGQ4nHw/tJCLjy0H+dO7M0Xa4vJL6sl2WM7He2BaUk8To3cRlENgWB0K05HuT/M9a8tocwfbjXSEwibREyr1QiGEAKHZqdcbSzxMzAnuU0Rj1jXsYKKIFJKHJpAEwJ/2Gz296NpAp/Lgc9lH1sZiFBUFSJsmuSleRMSbUkEUkoilkU/5XR0OUKGSXF1iLBhIYTA5bD/h5wJ+qxKAJ+yj7Za72rM+GhNncMRIxAxmfHRGuV0KBSKfYZ4nY6/YhfqXYDd77x+nuyRQKKK8w4DfgMsE0IsiW67NZrT2yZcDo2pQ3J4/IsNuJ06YdMiFLF2o3Boh3NE1BNJ8ThYuKWct5ds56wDe7dyZPx8t6GUwooA/rBJmT+MlLuiLQ5N4NQ1BNFORkKgR+0qrQlTURthYE4SXpeOSxdU1kZwORI7wXDqGjXBCD9sKmPKkBxuOXEY17y8GB27uD7RdQdm9L3um5VE/dMaUSfhoAHNd4CSUvL3uWsoqg6RtZvUspijuTurbcdDUhs2KawM0isjPl0Ky5JsLq2lOhixoybRkIomIBi7disXF0KQleSmKhChtCZMddBgYE5ywn+3e0LYsMhJdrdrqqEiPsKGxfxNpfywqYwVBZXklwfQhaj725KAZUGfLB+je6ZxUP9MDuybkbAFk7bSUa3Wfw601LJatbJWKBT7EnHNJKSUL0XbDx4E/NgoP3cndsvCvUZK+TUJ7OPTJ8sHQhAxTMKmjGvJLdapKTZhzEp28dqCfKaN77XXq89fryvmj7OWUuYP16V31cewJIZl16K4dFG3YimEXWxsRDtZDe6WYk80BJT7I/RMT6xomyUlKwurmDIkhwE5ydx9+khufWM5yW6d6pCBM0F1B6aUSGm36PU4d02MDEuyszrEiO6pvPD9FqSEDJ+TATnJDMhJIjvZzRdrivl+YxmZSbtPLasNmbsdE0MIgVOznbwMn5Ok3Uy2LSnZWOLHHzJwaKKBQxb7KWRYDe6vOXwuvS7KFTEt1hXVMDi38x0Pf9jkqOHdOtWGnzvF1SHeX1bAW4sLCEQMkOBx6qT7nE26rllSsrMqwJZSP+8vKyDV4+TsA3tx/MjupPv2XghT0Tn0SPeyvRkHo0eCP/sVCoWiPYl7+TLqEHzdzPY7EmpRAvE6HSQ5dSoCkTYfKwAr+nAv90dYvLWcCf0y98gOKSX/+mwdz327hVJ/0xSl2Eq4hq0aLqUkZNjfnbpWN5F1aLbjsaG4hh5pHjTs1KSIYeFM4OTU49RYll9Z9/rAvpncd+Zobp79ExVBAz1ac7KnxGo4AAZkJ5HscSClHWEorg5RGYhgWaCLajaV+u1jpN11zLRgRF4KKwqq8Lq0uKIugYhJW/xFIQRCSPLLAwzpltzqNfLLAs06HPUJG+ZunQ6HLkjzOqmojeDUNQzLYmOxnyHdkztNvyNWtH/a2B6dcv2fO5YleW9pAY9/sRHDtEj2OMjYjeOgiV1pe2AvnDz19SZemr+Va48ZzNShuR3eIU0IMRYYSlNFcqSUMzvUmH2Um44f2qCmA+zGIjcdP7QTrVIoFIq2EbfTERVX+i0wBcgCLpNSrhNC/AJYIqVc3U427jFuh4bbKdCC0FaZAUtCKGJSWhMmYlr8sKlsj5yOiGlx+cyFfLW+2K7ZoPkkZynBxBYDjAkDhk0JWLjqtYx1RHUnKoMGEttZCSbY6XBogspGjtqBfTN49qJJXDZzIeuLanA5RJsm8jEsaTscPpdOnywfboeGYVrklwfqrikl9Mjw0C21yRwFKSWLt5ZTWBkkxeOkT6YX927auVrx5FY1Qo9GugIRE5+r+X+TqkCE8tpwqw6Hff34rpmT4qaiNoIEHJrdDnlHZbDTVjOrQwbD81Lpm6XqOTqaHZVBHvhgFSsKqkjxOHB59yy9zePU8Th1ghGT++as5rPVRVx/7FAy9rLbXTwIIdKB97FF+WDXf2H9/wjldMRBrG5jxkdrmu1epVAoFPsC8YoD9sbuVtULu3XuKCAluvtI4Bjgknawb6/omeGlKmjicmiEDCvuyR/YT8XaiEl+eS2mJZm9KJ9xfdI5ZEBW3CuFYcPi6pcW8vX6EtwODSkhROupPlLak2RN2+V46JpskNqlaVBZr6i7uVStvaU5h6JXho9ZvzuEs/79LRtL/GjRfHJdE63O6WORDSlt23uke8hOdiOEXeS9obgG07KdHVOC26mRm9LU4QA7ClEbNtE1QW3YYM3OGvpkehOeOmL/jiWlNWF8mU3/TUxLsrWsNvoetP73EK+/43PpuJ0aYcPCoQkcmqC4OkS6z9mi49NeSCmJmJJzJiSmlkkRPxuLa7hp1k/UhIw2iX22hifabnv+pnKufnkRf/2/seSltbszex/2AtUU4CvgDKASuBg4hF0ifoo4mDa+p3IyFArFPk28y+N/A0LAEOBAGs6jvgAOT7BdCWFwbjJgG+vQtDqRu3iJFXZr0ZX/O95ewT8/XYcVxyRfSsnDc9cyf1MZumZHLxprgrR4LLbjEZtsREyrwX5d2GlGMTMaz0nChkVhRZBVhVUsy69kaX4lKwqq2FjspzposDszIqYkO6X51q0+l4MnL5jAiB6pZCe78Dh1DFNiWPYkNWJaDb4blt2C2OPU6ZvlY2SPNHJSdjkc64tqbP0M3XY4dE0wIDupyT3VvTfSrjNw6Jr9uwG2lNZS0UpnLV0Te9RDR9cE1cGm6vVgd84yLRlXnY/WhpBQ7wwfUhKNYtnH7awKxX18oqgMRBjVI41DWijkV7QPW0r9XPfaTwTCJhk+V0JToUS03XZpTZg/vLKEoqpgws7dAsdjOx7fR1/nSynnSSnPBz4B/tDeBigUCoWi6xDv8umx2OlUW4QQjXNZtgNdcvnFlJJUj5PKQARN2KlLsYd4LF89VrvR3Jx0l4aHnW+f4XPy7tICXA6NK44Y2OqEYF1RDR+tKKxbtY7ZEy/1hxrWLu2OGJqwt2sC3NH0K3/IZEdVkJroRFnXdk14pYSakEF1tP4gN8VdF21oTMiwGNur5Va1vTJ8/OPccdz4+k9UBQxSPDohw25HHDGtug5XLl2LpndoTSbnpmUXYEuIFk/bwniDdtO1KWTYDljsbJomwIKtZYG6VJLGJLkc+EMmbVVbEdgOn2HJBm1vYwrj8dRaSAmeNqS+Jbl1spNdlNSEcep2tKMqYNSJNHYEYcNCExp/PGFomxwmxd5RGYhw4+s/ETGsdhVjTPc5qayN8MfZS3n81we223WAPGCjlNIUQgTZFR0HeAN4pT0vrlAoFIquRbyzGBdQ3cK+NKD55eBOxqVrpHgcdhFvXTZxTBTQTouJdatqTKxtbaxuIsPnQtMEGT4Xby7eztqdNa1e+41F+ZTX2qvhdhTAiitCUh+LXdEOo1G0I9pRF4ldu1JaE2Z9UY1d1KzbwoKaEHXRHU1EIzfRtK2CiiAbi2uaTc3SNcHIHq2L8vXNSuKxXx3A6F5pVAYMHDpkJ7vIS/PQI91LXpqHrGQXSW692WhAQUUAw7Rs58mUpHgcDOmWgns3Bdcho2l6WiwVbVtZoFnFcp9bb7VlbUvE/kZCjfrj14ZNDFPutqZFSvt9b2u9TV6at65bmf03KluN5CQSS0qqggZXHDGgI9JvFPV49LN1VAYipO5h/UZbSPM5KagI8Ny3m9vzMjuA9OjPW7BTqmIMas8LKxQKhaLrEe9saClwVgv7TgQWJsacxCKE4LBB2WQnu/A69Tonow4pm63zENgTel0IDFOS5nXiiLaJjU2g31yc3+w1a0IGL8/fysxvt0RXqCVBwyJkWBhWs4e0SP35c2M77faq4HM6KPWH7Z790TqA3c2vNSFw6IKakMmGYn+DcwcjJskeB+N6p+/WvtwUDzPOHsN1xw7BMKHMH8YfMpqd+NcnEDYoqbE1SqSE3pleBuQkxdWKt6WolEOzaz2qAk39X69Tr0tZ2hMa304gbCLZvV6JKeVuW+42h6bZbYQFdkRIA2qC8bf93VOklJT7I0wdksMpY1THqo7kuw2lzFtTTLqv/SIcjUnzOpm9qPnPsQTxNbuKyJ8H7hBCPCGEeAyYAXzUnhdXKBQKRdci3hnRDGBWdJL1UnTbCCHE6dgdrU5rB9sSwpkH9OS7DaUMykkivyLIzqqgHXFopo1ULCJg63QIZLTbVOMuSmleJ1+sKeZ3UweRVi8NIr+8lptnL2VziZ+YDGH9lK7dFlM0Q2wC3/hQKSVuh47PrZNfVotD19rWFha7TWsgbLKttJa+2T6klNSETC47vG/cgmJCCE4anceRQ3P5cm0Rr/y4jYKKYF36l67ZxeZSgmlZODSNouoQDk3QM8NLuteF1oZAQEt1ObE2t0XVQdIaTdxcDo0kt05tC+rgcV20HjVhM67aICkhO7n52pjd4XXpDMhJZkNxjd3UINy+wUQr6nBM6p/JzScOU2lVHYhhWvx97hq8Lr1D2yPrmqhbTGkn7gJi3usM7KLycwEftrbTNe15cYVCoVB0LeIVB3xDCHEl8AB25xGwWx1WA1dLKT9sJ/v2mtE90+ib5WNrWS2pHgdVAXvy2XgSvyudyhYR1IVASltHorHGgh5tkVpQEahzOjYU13Dli4vwhwxARDs1iV3pS3vgcLSGaUkm9c+iojZEUVWIaCJYm84RczwqAhG6RyyChkmfTN8edUjxunSOH5XHcSO7U1wdYmOJn3U7qymoCBI2LVy6Rs8ML4NykrjrvZX4XPoe1Si0VritCzv1KWxYTepCclPcbCqpbfP1mrtmMGLuNsphSbsOJMWz56kySW6dQbnJrC+qJmRYmKaF3g51HWHDojpocMSQHG4+cViH1Y4obH7YVEZVINIhbWwbk9KOSvNSyg3AhujPEeCG6JdCoVAofoa0RRzwcSHE89h5ublAKfCtlLKlWo8ugRCCe04fyVmPf0dRVQinQ+Bz6fYkztqlUi5pWOgdsSwcuk5txMTj1JtZEZQEI3b3pTcX5TPz+y2EDQs9KuAXMax60ZTm07jaQv15b6yo+NLJ/bntrWWkeR3UhAwcGm3udhMbvaMqSIbPxa0nDd8rFWwhBLmpHnJTPRzcTOejgooAUrLHE1tPvVSpxncqhEBgF7Q3vocUjxOnw06XizfaIaOK6Y0Lwe3OYq0cB5gW9EhvvlC/LfhcOsO6p7K+qIZSf4R0nzNhKuVSSioDBroQXH3UIE4d00NFODqB1xdui6sLWnvQnkKBQoingXuklJua2dcXuENKeXHTIxUKhUKxP9Km2YuU0i+l/ERK+ZKU8iMpZbUQ4gwhRJes6Ygxf3MZDg18Lg0r2gnK49RanLx5nRpJbgdCQGFFkJWFVU3E8kDw/YZSrnpxEe8vK8AwLVzRbkOOaEpRzOfYG4cj5gc5dC2qnWAhhOC0sT1YsKUcIQT9spPwOHXCpsQwLUwp21y/UOYPM/3k4QyKthluLzaX+PfqeKcu0DXRYuDIwq65aIwQ0DczqU21HbYifVPVcwGtnsS0JF6XvsepVY1xOTS6p3m4cupAghGLUn+YcFsLhOohpaQ6GKG8NsLQ7ik8ecEETh/XUzkcncDOqiArowKA+yEXAjkt7MsGLug4UxQKhULR2bT6pBNCpAInAH2ww+TvSCnN6L6zgD8Do4HN7WvmnmOYFjO/3UK6z0W3VA81IZOS6hBVwYZORKx4HHatogsh0HR7ZXtzSS39s32kep1ETIvqYIRZi/JJ9zmprrDPFZucxvKyEzGFi9UwmJaFJQTpPidJLgfnHdSXO99ZjiXt1rOBsIFpQbieh+NyRLUsWtS8sDtrOXWNzCT3bjtHJYKaOArNd0e6z9Ya0JrJR4+1uW2O+u1oHfruC+4tKcloprDXoWkYZvOF3bG3v0+mb6+jHHXntOx2yWcc0IspQ3J4a8l23v2pEH8ojEPX8Lma7xBWn5jQpJ3+B4NzUzh3Ym8mD8pWzkYnsm5nTVwCk/swLf2zdwcCHWmIQqFQKDqXFp0OIcQI4ANsFfLYE/HbaPH4K8BRQCFwNfBkO9u5x/y4uZzqkFE3eUzxOEjxOJBSUlwVZFOp/dyrm3hJScSQOPV6WhBCgCbZUlrLyB6plPsjBCMmOSluHJqgPBBpkLKjCbsOIBFK4TEdi4wkN9nJToIRyWnjeuDSYWVhFWA7O05dw+WwU7ts9XVJ2LAIGxZOXeB26hCNgFiWRGJHY7JT3HRP9VAdNFoUwks0e/uuZCe7Ka0Jt1jF0tr8LS/dSyBi4g+ZrToeMccos5k8e7so3UBvdLQl7ShHnyxfkzqgvSFomPTN8qFrduraZVMGcv4h/fh2QwlvLSlg7Y5dGY4R06pTirekRGC3T46YkowkFyePzuPUsT0YkNO+ES1FfKzeUYWRgM+JroIQ4gxs5fEYdwkhShoN82ILynbpCLlCoVAoEktrkY77sB8OvwEWAf2BB4EfgL7A3cCDUsp2l7XdGxZvLW9RH6Os1sClCyKWrBO0Q4i6XP76k1dN2ONKakLUhOy2si6HZjsWUiIatWBy6i2vhrcFO6c/BU0TlNdGOGJIDlMG53D9a0sxLXA7tQZTX4cm0J0alrSjPDGlcFOadWJzKR4nqV4H6T5X3Qq5lLZeRntT/5p7isfZejeq1upFNGG3o91U4m/V8TAsyEhyNdvFy+dyAA1Vwk0psSy7/W9z0ZG9IRC2GN2zoW6Kx6lz1LBuHDWsG6Yl2V4eYGNJDfnlAWrDdqtmn0sn3eukf04y/bOTGnRaU3QNlm2v7JAIYwfSB9uhAHt9YRyN/1ns198Ct3ScWQqFQqHobFpzOg4DpkspYy1yV0dXrOZjFwDe0+7WJQB/2Gy2JWsgYhEy7Im4RWzCvUt7QTazji6Q7KgKkZ3sIsPnanEcRDseNdOWty1owl7Vrw4aIODcCb05YVR3rn5pEZpGi7oWQgh0Abqm4wYsyyJiSbKSnPTOTGr+Wpototfe9Mv2Ye15OUIdvTN9rNlRjSUbFtkLIfC6Wr8PXRMMyElme3ktZf5IXWQqhmlJNA16pHmaPT45+j7JqGdqmHZr4P7Z3nZRktaEaLYoP4auCfpk+eiT5Uv4tRXtS2lNKC59mn0FKeUjwCMAQohNwDQp5U+da5VCoVAougKtOR2ZwLJG25ZGv3/aPuYkngyfk+ZS/O1CXBHV5LDVpS1JXQpS/fVvS8q6VKkUl06S21FXhK4L27Ow55+7jom14DX3sH7BngjbJzrv4D6cNCqP3FQPf/1oDbURk6wkFx6nTiCye+0JTdNwCUmZ36BbatN2sjJ6fz06QIE6J9lNssdByDBxO/bcyXE7NPLSPBRUBBHRaEUsQuV17v68mrAdl3SfwdayWiKm7WgI7N9330xfi1olDl0jzeukzB9B12zdll4Z3nbRPAhETNJ9Tsb3yUj4uRWdT8SU7L66aN9EStm/s21QKBQKRdehNadDAI2T/GOvu3RKVX0OHpDF6wu27UqfiuIPRQgZu9KfYr5BzD+xC7chFsXISnaRmeSiojbSYJIghCDN66QyEGmyYlknNtioY1JzAZDYNqcmyElxkeR2EIhY3HTcEE4Za+tmVAUjfLp6Z12aTE6Kmy2l8WlP2PduUeYP073RCn5NyGBQbjL9spuPgiQSIQSnj+vBC99v2SunA+z7D0bse3Lodg1NisfRIL3q3VvPpLZ0R5NjU/P6c+KdL2KVbaXi3aco3bqWQEkBqWOPZfDZNyKEqGuBLKIOadgwCUYsBHaNTJLboke6t107DwVCJr85uG+ntVRVtC8OTdBMs7X9gmj9X6aU8pno677Y9YCjsNXIL5RS1nSiiQqFQqHoQHY3W7pMCHFKvdexufHvhBCF9bZLKeUdCbcuAYzskUr3NA9l/jBJUSGskuogOyqDTVrZatG7c0TF/3qme3E5NCKGRYk/TEmN/Xws80fIS/OQ7nOia4KcFDeVAaOJY6NpAsuUaJpdJxITQm8sUG6383XQLdVDZpKrbn9FbYS89F3Rh89WFWFau3QmUr1ONI0mKUYtoWuC4poQuanuBsrHhik5d2Kf+N/UveSEUd15af5WDNOKW/m8JXpleBFASY2dNp6T0rBN7bG3PIWsl89lhAJ8dPdv6DPxGPt1OIgvsxvZIw5l/WevMrR7Cn88YRjLtleyekc1NSED05I4dUH3NC+je6Yxskcq43qn88SXG5m3pmiv7G+N6mCE7mkeTh3bY/eDFfskyR4H1aEIbexevq8wHXi93uu/Yzcm+S92reCdwI0db5ZCoVAoOoPdOR0tCTf9ttFrCXRJp0MIwVVHDmL6W8tx6haBsMnGktpmdR5iToE7Woi9oyqIjHYkiuluZKe4KK4Os62sloIKQd8sHykeBx6nRihiNkixcWqCWDBFCIGGjLawtZXPTUuS5NLpn53cpJg0GLGL1cf2Sq/btnhreYMV71jNR1FVEKFru03S0ITAMO2OVp5oClIgbOJzOzh4QGYb3tW9IzfFwy8n9eGF77eQmeTcq3ahQkCvTC8SSSBiETbsNsAxx8yT0jAtacNXb2OZBgMmnwpAau9h9M0eRKrPibZuHmN6pXP2hN6cPaH3bq991ZGDWLilDH/IqHNoY+xcvYAv/nEtvqxu9D7waLYt/Izasp1oDidC2L/rlG69GXLML0jJ7cXi1x6hfOtaXL4U+h96EsNPuYSICbeePHyvI0KKrsvwvFQ2lfjxdbwYeUcwkGhKrhDCC5wEnC+lfF0IsQq7kFw5HQqFQvEzocXlNSml1oavLj0rmtQ/i5uOH0pVMMK6ohqktKMQLUUHghELpKQmZGBYdstZXUTVtlM8ZMeiEQI2ldRSE7JbmoqoGnkMXRO2gyFlXVjD1s6wE7R8Lp1BuU0dDoDasMnZB/RqEAmoChpN0my6pbjxOPX4224KgRW1JWxYBCMW008eTiBs8tnqnby1eDtvL9nOF2uL6zQd2oNfTupDn0wflYG9v4Y/ZJCd4uaVyw7m+JHdqQkalPnDVAcjREyrgS7Ihi/fovvowwi70ijzhwlGLM44oCfPXjSpzWlSaV4nd5w6kohpq6DHCFSWMv/Ze+k2YhKh6gq2LfyMCb/6I3mjDqH7iIMwIyEO+MV19Jl0LPOfvpvP/3Y1Kd36cNxtT3Pgr25k/ZdvsXD24/x2cj+GdU/d6/dH0XUZ2SNtP63oAMDDLi2OQ7EXuT6Ovl4DqBCeoo6pU6fi8XhITk4mOTmZoUOHAvD+++8zefJk0tPT6d69O5dccgnV1dW7OZtCoeiK7JcyuM1x7IjufLaqiI3FfoSgwUQU7BXzWMqRJSWBiB32sCyJ1CQRS9IjzYNT18hKcVPqj9gemwZbSmsZ0SOVQTnJbCz2EzGtOofD5dAIRkwkdgHyLkV0nQE5Sc2mF9WEDJJcDo4f2b3BdrdDq7NbSqgKRCj1hzGlJGJYhKNjdK310lSBIBA2CUQsfnVQHz5esZMv1i63C8qlXUavR5XVjx/ZnWnjeia8M5LLoXH/maO55uXFVNRGSN/DNrO22CDcP200Q7qlcOPxQ7l0ygA+X13EtxtKWLuzhppgBE0TVG5dTfnWNRx22uVM6JvJ5MHZTBmcs9tuV60xplc6d502kjveWWFHrpwa85++i8FTzyQSrGXHiu+Z+Js/0X3EJLqPmATAV//+I5u+fZ+jbvw3G754i0BFEZPOvxWhaXhz+9H/+IvZ/MF/OXn4f/fYLsW+wYCcJER0YWI/FAjcDEwGvgBOBxZKKSuj+3KByhaOU/xMefTRR7nkkksabKusrGT69OlMmTKFUCjEeeedx0033cTjjz/eSVYqFIo95WfjdNSEDBZsKcft0HBoGla0SxVgi+lFnQFRv/BbgmFJdEvSLdVTVy/gderkpLgorg7hiEY3qgL2xHlI92RKa8KU1ISImFH9D6J1F9jRj7wUDxlJzetVxAT67jtzNBmNhOl6pHtZuKWckpowhRUBu6OWsNOsXLogZEoCYRMhwO3QmxS2x7pw+UMmPpfGCSO78dL8rUgkaV5nE3sM0+K9pQV8sLyQW08azuGDcxLwm9hFbqqHf/1yPH96YxnbymtJ8zjirvGwpKSiNkKy28G900YzoseuiECa18m08T2ZNr4nMjouEDG56Q/PUNCvP1/989qETvAOGpDFX/9vLPe8t5IFb/wXCQw7/jcsfct+KGrOhr9H3elmx6b5WKZBqLocT3oOCEFFbQRNCG6+5Fx+++YjLFmyhMmTJyfMTkXXY0B2EtnJbqqC4aj+y37FE8Bfo4KB44Df1dt3CLCyM4xS7Fucd955dT/7fD4uvfRS7rijS2ZzKxSK3bBfVi82x8qCKrsVblStWY+mV9VPv5HYzkH9GIhTEwzKTSYvzdNgopqX5iEr2Y0RdVaKq+2GXk5do3uahxE9UumZ4SHV66Bvlo+Tx3QnN9VDt1Q3qY0m+FJK/CE7Jcjr1Hn43HEMz2uaVnPsiFzK/CE2l9QQjJiEo/UZwYhF0LBwaOB12ZGOYMQkGDGJmLY4oGFJwoYkK8nFn04cygWH9uOD5TtI9uhktuAAOXSNzCQXbofGPe+t5LsNjYWF957cVA//+fUB/GpSH2pCJmX+cLSdcfMYpkW5P0JlrcERQ3J45qJJDRyOxgghyEhykaxFeHv261xx+WXtsqI8qmcaF/b3U7zgfYb94hbK/BHQHGgOFyvnPIe/pBBpWRQu/46Cn77CMiKs/+JNIkE/af3HUF4bYXheKk9dOIFzjxgDQGFh4W6uqtjXEUJw7oTedkrnfkZUs+NC4DvgYinlk/V2pwDPxHMeIcQJQog1Qoj1Qog/NbPfLYR4Nbp/vhCiX719Y4QQ3wkhVgghlgkhmhffUXQJbrnlFrKzsznssMOYN29es2O+/PJLRo4c2bGGKRSKhLDfLa21RCBi1qUdWdEwRm20V6UARGzSLSUxYW6BrUrduEgYiHa38pDicVBYGSQQsSipCdfpfDh1jRS3k98c3I9p43uS5nVSWBngg2U7eGvJdgK1kbouVaYl6ZXh49yJvTm8lXSfb9aVUF4baSBHWCdmKGWdg+F2aLgdGmFTkpXswuvU0TVBKGLxwFmjyUvzcunzC0j1OlpV744RKzr/y/urePHSgxOubO126Fx4WH9OHJ3HB8sKeWtJAeW1tmhfTB9FEyLa+Utw/MhunDauJ4Nyk+O+xgsvvEA4HOaiiy5KqO0xSkpKuOSiC3jtxZmMnDSF95YW8PBciSslA+FK4r3pZyOERlJub3oefDJbv3qTJbMfxZWSycA+Pfnb/41jVM9UhBD4/f52sVHRNTlyeC7/+WI9EdOK6/8xkQQj7duvV0r5IvBiM9svj+d4IYQOPAYcC+QDPwoh3pFS1o+S/BYol1IOEkL8AngQOFcI4QBeAH4jpfxJCJEFRPbujhTtxYMPPsiIESNwuVy88sornHrqqSxZsoSBAwfWjZk7dy7PPfcc8+fP70RLFQrFnvKzcTqS3ToCW2+juNpOfQKarnrH8quwIx5GK/LZMY0Ot0PDqWv8+uC+VAUieJ06PdK9TOiX2UCILy/Ny8WT+/Org/uwsdiPP2QXhmcmueiT6Wt1BX7tjir+/sm6unQuEbO1ni1gOx8hw7Jt0gQ1QYNeGV6qAwY9MjxM6JfJ419sQEq7k5YVrQ2pCkTsVDJNkOR2kOFrGI3xOHXKwmE+XbWTMw/oFd+b3ka6pXq48LD+XHBoP3ZUBdlU7KciEEFKSHLr9M9Oome6d4/a7D7xxBNMmzaNbt26NdgeDodZudKev9TU1FBWVsaSJUtwuVyMGDEi7vMvX76cgoICTjllV4dpy7KjaOGqEs76wz10G3EQyRm5vPXQ7wH48wMPM/etVxmUYjK6V1rdcTt37gQgLy+vzfep2PdIdjv49cF9eeabzXvdza0t2BHWLi8SMglYL6XcCCCEeAW7PqS+03E6dvtdgFnAo8J+E48DlsYU0aWUpR1ltKLtHHTQQXU/X3DBBbz88svMmTOHa665BoDvv/+e8847j1mzZjFkyJDOMlOhUOwFPxunY1TPNFy6hsPrZGdVsG7iXj+1qvGjXgP8IWu3K5C1YZMjh2Zx+riecdnidujNpk+1hJSSG15fimFaOB0aGJZtvy2D3mBsrCg1ZFj4XDohw6K4OoTPZdc+hAyTOcsKSXY72FEZpLg6ZLcKrneaitoIBRUBMnwueqR76pwPr1PntQXbmDauJ1o7itUJIchL85KXIIX077//nqVLl/L3v/+9yb6CggLGjx9f93rhwoW8+eab9O3bl82bN8d9jYkTJ7Js2bIG2/7973/z3nvvMWfOHHr37k1aWhr/+c9/WPvjF0yZMoU7b7iKcOl2nn/+eSzLQtPsv7EPP/wQn8/XwC7F/s05E3rzxdpitpbWkraHTRXaSkXA4IC+GXySwHMKIUzgECnlD0IIi6Y6qPWRUsrdPYN6Atvqvc4HDmppjJTSEEJUAlnAEEAKIT4CcoBXpJQPxX83is4k9iwDWLx4MaeddhpPP/00Rx99dCdbplAo9pQu53QIIZ4GTgGKpJSjEnVet0Pn5DF5PP7F+rooR+OnYePXtuaGpCpgkJXcfCN9u1BcMG18fA5HW9laWsvjX2xgZUElpgTD2rUyaQFCNh/1kNGOVha2U/TYrw6gX5aPNxdvp7AiQHXIwLAkGnbthjPabavuvoAyfxh/VK3coQu8Lp2K2gj55YGEd7NqTw4++OAm3cpi9OvXr8V9bSEpKYlRoxr+uebm5mIYBlu2bMHn83Hrrbfy73//m9TUVP7xj3+wY8cOzjrrLP71r39x6aWXcv3117NhwwZuv/12rrnmGpKS2l8hXtE1cOgat5w4nN+9uJBQxMTtbN8u5LVhA7dD44bjhpDgWfjd2I5B7Oe9/+facxzY3bMmArXAp0KIhVLKTxsPFEJcBlwG0KdPxwmlKmwqKiqYP38+RxxxBA6Hg1dffZUvv/ySRx55hOXLl3PCCSfwr3/9i1NPPbWzTVUoFHtBi06HEOKzNpxHSikTtfzwLPAoMDNB5wPs1rcrCquoDBhNlMgbIwBdg4hpd3syzJZTECoDBoNykxjWPSWR5gIwd+UO/vbxWnZUBpDYXapENP0r1l1LxvyERhNnKSFiSTJ9Tg4blEVWkptrXl7M4q3lVATstOZY7CZiWkRMu7je47TT0ATg1AUh02JjiZ/Bucl1bYVtBWVFPFiWxbXXXsvWrVsxDLszWVVVFQcccEDdmPHjx7Nq1SoOPPBA0tPTueyyy7j33ns7y2RFJ9EvO4lbThzGve+vQkTbbbcHgbBJ2JA8eNZoclMSW1ctpbyr3s93JuCU24H6Sp29otuaG5MfreNIA0qxnZ8vpZQlAEKIOcABQBOnQ0r5X2yldCZMmNCZjtLPkkgkwvTp01m9ejW6rjNs2DDeeusthgwZwkUXXURxcTG//e1v+e1vbV3ivn37smLFik62WqFQtJXWIh0aDVephgLdsXuv7wS6Af2AQmyhp4QgpfyyfveRRPHRyh18vHwHej1xvNZwO3VCETuNqblaS8uSVAQiZCW7uev0UU3ysIuqgny2poj88gAuXTC6VzqHDsyKW13663XFPPThGlI8DrvdrmCXsxQrqsZ2PmKaILH7EtjjEYKsFDcOTeOalxdRURvB7dDrxBFjCLAL6C275a7Xpdelmjk0W9OjOhghNVpA3tHFru2BlJLNpbWU1oQwLEmqx8mQbsl7VC/SEnfeeSd33nlnws6n2P+ZMiSXm03Jgx+uxmvpe6Uh0xw1IQPTktwzbRRje6cn9NztxI/AYCFEf2zn4hfAeY3GvANcgN0l62zgMyllLK3qj0IIHxAGjgAe7jDLFXHzTX4Y11kPkl0RoEe6l5uOH8qx0eyBZ555hmeeiavRmUKh6OK06HRIKafGfhZCTAMewc7VnV9v+0HAq9F9HcaehML/+ek6TCmbTuBbwDAlHqdGbdikJhShzB+diAuwLDub6ZCBWfzh6CFk1tPT8IcMHp67lq/WFdvX0uyow/tLd+B2alw2ZQAnj85rtVg0Ylr8fe5afG4dl0OL6oeIJtEMhEBEnQWXS0MXWqPzSMIRi2XbKzEtSbrPyaZiuzNSEzGy6LmsaD2IJ7rKGvVdKKoOkeJxYFoWGb7mU832BYIRky/WFvPaj9vIrwgQkzKRErwunTMP6MUJo7qTnezuXEMVP1uOHt6NZLeD+z5YTZk/TLrP2SD1cU+ILZKkeZ3ccepIRvVM2/1Be4AQ4s9tGC6llPfsZoAhhLga+AjQgaellCuEEHcDC6SU7wBPAc8LIdYDZdiOCVLKciHE37EdFwnMkVK+3/a7UrQnby3ezi1vLCMQXd3bXhHgljfs+rj2SltWKBSdg4gnn10IsQyYIaVskvIkhLgQuEFKOTphRtmRjvfiqemYMGGCXLBgQatjakMG4++ZixAQNqxd4n8tXR+iAnsaHqfOkG4pnHdQHzaX+DEtSe9MH1OH5taJBcYIhE1ueG0J64tqSE9qOlEIGRbVQYNLD+/PuRNbdpa+WV/C3e+uqBMHXFVYRdiwCBlWs86KlBKHpuFxag22GZYkJ8WNrglyU9wIIVi6rYKQIZG0oIAcTd1Kcjl2KbJD9L69jOudzl//b1wr717Xo6SkhNtvv50333qL4pJSXKlZDD7uNwyfOq3BexCKmOzcsoEfHrkCzEhdOtTeEDYsvt9Yyrs/FbCzKoglId3n5PgR3RnWI4WiqhDBiInXqdM/JylhxfOKfZ9yf5hHPl3HN+tLcDkEyW5HmztbSSmpChoYpuSEUd25/IiBJDdqAR6tc5iQCJujxeMNTKBpj47YdqSU7Vu8sgfE80xRJI7DHviM7RWBJtt7pnv55k9HdYJFCoVib2jtmRJvIflgoLiFfUXAoD0xrKMorArajkY00rE7YvUSmhD0SPcgIK7OVC/9sIW1RTVktdD20u3Q0L0Onv56M5P6Z9E/u/lC4Y9X7GhwfIbPxc6qYF0KVeNzC+zWvhKt7uluWhKXQ99VoyFEVPhQ4NQl4ZbKVKIRlUDEbJCGJrGL2if2y2JnVZBuqfuGxlZNTQ1Tpkwhp3sew8+7naFJWThDlUjZ1IHTZYQVL95F9pADKFo5n8VbyxnfJ2OPriulZNbCfF6cv5VA2G6N7HLYYa/tFbV8ubaYkGGR6nGSkWS3JzYtybhe6Zw9oTcT+ma0a4cwRdcnI8nFHaeO4PuNZbzw/RbWF9UgkSS5dVy61qIDEuteF9MhGtMrjV8f3I9xHZBOJaWsW/kQQozATn36L/AKu9Jyfwlcit0wRPEzp6AZh6O17QqFYt8lXqdjE3A58EEz+y7HrvPosuhC4NAFteH4VX+FgIG5yUQMi/45u+8iFIyYvL24gFRP66uRDl1DYvDukgJ+f8zgZseU+sM49V3nyExysbMqhEuHoCHtXKBGqVH1U69izlWGz2kLGzaKZjl0jYhpNk2xqnesJaWdehTT/7Bs0cEfN5dy2cxK7j9zTKtK4F2FGTNmUFtby9jf3s+aoiAZSS23I1340l/JGTSWrP4jKVo5nzveWcFLlx7cZGV4d1iW5O9z1/LRih2keBx1ESvLkmwpq6UqELEL9TVBTcjAkpKBOUkgYFlBJUveqmDyoGxuPnFY3DVAiv0TIQSHDMzikIFZbCyu4b2fCvluYyml/hC6JrAsogsR9lhd2A0kuqV4OHFUHiePyaNXRqd1mnsU+F+jNrVbgQeFEBq26J/qf/ozp0e6t9lIR490FfVVKPY34p1N3QW8KIRYji2+FFuxOhsYBvwqUQYJIV4GpgLZQoh84A4p5VN7c868dA9uXRAgvv6NDgFpPidep0YoYnHG+ObF8IIRk+82lLI0v4KCigCl/hA94/igTPE4+HjljhadDpdDa2Cny6GRkeSk3B/G7dAIGRbUdxgaRSRscUCdB88azYyP1tZ1uNIEdZobHqdOINLI8agXCYq14Y2l3wkBA3KS8bp0/CGDP72xlMfOO4DemV27de7s2bMZN/Fg3vz3fZQs/xqnN4keYyYz6rRLcLh2RWs2ffcBZVtWcewtT7Ntga1cEIyYzFtdxClje7Tpms9+u5kPl+8gM3lXip1duO6nKmjg1ETdey6wWxpvLq1lQE4SaV4nUkq+WldCyFjJXaeNTGhxu2LfZUBOMr8/ZjC/ZzA1IYNNxX4KKwN1LcDdDo0e6V76ZyclvAB9DzkIuK+FfT8C0zvQFkUX5abjhzao6QBbE+qm44d2olUKhaI9iMvpkFK+IoQowXY+bgGcQAT7wXF8c33P9xQp5S8Tda4YbodORpKLikB8OfqGhOqgwdodNYzrk86BfZum2Hy+uoiH564lZJhI7ALy4uow5bUReqR7yW5B1wPsjlAVERPDtJqdUI7tlc7y/EqoVzLSK8NL2LDwhww8Do2IZReQw66k6YhhYUlJRpKLx84bz4R+WSS5N1IRCBNr+5+dbEdNnLrA59QJGFadY1E/9UyySzgRIMvnqpvIJLkdlNaEeeH7Ldxy0vC43tPOYsOGDaxZu47s0VM4/KqHCFSWsOjlvxOoLOGQ394JQFXhZn6a9S+mXv8vHK5db7rHqfHqgm2cPKb1wv/6lNaEeHXBNjIa1fQUV4eaOBxg/94cuqA6aFATNEiORsoyk5zM31TGuz8VcEY7KcAr9l2S3Q5G90proGTfBakEjoVm9QePi+5X/MyJFYvP+GgNBfW6V6kicoVi/yPuvBEp5SfAJ9GweDZQIqWMP1+pk8lMcrGppDbu8ZaUhE2TouoQW8tqG9RfzFtTxH1zVpHs1utSZxyaoKw2giYE28vtmEqsA5JpSaS0owwi2jlLE4LXF2xjSX4lliUZlpfKSaO7k5fm5cRR3Xlx/hYsKesmrpoQDMhJoqAiQFlNBIcGDk3DlBamKfG5HPjcOpMHZXP7KSNIj3aYmjIkh1d/3Io36nXEUrUkdttcn1PDlBAxzAZOh61VInDqGpYl6ZbWsIYjzevk89VFXDy5f5eu77AsC4cvlYMunI7HHU1zMiJ8+9/pHPCL63G4PHzz39sYdfplpPcc2OBYr1OnqDrEzqoQ3dPiu8ePVuxASlkXUQLbeSuuDuEQolnnJdYVrbgmRLLH/pcUQpDk1nnlx22c3s4K8ApFO/E0cIsQIhl4nV0R8nOwuw+2FAVR/MyYNr6ncjIUip8Be6JI7gO82O0L9xmnw+N04NDsQmxrN92rwC64FkIjbFjc/e4Knr5wIkIIQobJPz5ZR5Jbb6AanOR21Gln6JqgoCKIQFBSEyIYsd8mXRNkJ7vwhw1MU/LMt5ujtRuCn/IrePXHrZw8Oo+rjhzEEUNymLemmMx6RemaEPTK8NE91aK8NkJlIELIEDjdgiumDOT08T2bOAAnje7Oaz9urXNgXA6N3BQ3RdUhHLo9CXbYy+0YYRNbgx2S3DpCCAxTkuZ11tU1+EMmxdUhKgMRTCk547FvOGhAJv93YG8m9c/scqlAeXl5VDsycDp31XKk9RgAQG1pIS5fKlUFm1j08t9Y9PLf7AFSIqXF61dOYfCJF1Nz3gHNnboJUkpmL9qOr1FqS3XQwLBoUKfTGIcmqAoYRExZN87rtBXgF20tZ0K/zLbctkLRFfgz9sfJtcAV0W0C8GM7HHd2ilUKhUKh6BTidjqEEKcAdwNjo5smAouEEP/DFmN6qR3sSxhDuiXzw6ZSvA4NicCwLCzLLrpsjCbsCWRt2KC4OogAlm+vYnSvNL7fWEYgbDYpSNY1QYbPSZk/gkOHcMRic6kfpybsCAf20ze/vBbTgoE5vgb6HmAXGr/7UyGGJbn+2KEUVgZZs6OaNJ8Dh7ZrMu/QNbKTXTg1DbdT42/njGNQbnKz952X5uWIobl8vrqozoHJS/NgWJIyfxhN2BEPGS1GBXBHHYeIaZHidtI3yy5y3l4eoKQmXJcShCnxuXXW7KjmjndXcECfDO48dWRXyScH4PDDD2fWex9hGhF0l/1+V+3cAkBSVh4Oj4/j//x8g2MKfvqK5e8+xXHTnyXiSsUVpyMViJhUBSNkNfq9VgYitNw51CZWsx82LJz6rvfPkpJvN5Qqp0OxzxGNhN8uhPgbMBrIwxaTXSqlVKlVCoVC8TMjrtlUVBzwbaAEuJmGs6dN2GqwXZqRPdJwOXRMKdAErXYFEtE0GBmt7aiNmCzNrwBszYyWFM27p3lw6oJgxMSwJIYpCUZbV/rDJiHDxLBA12BndaiuZsKwLIqrQ6zdWU1BZYD/fbWRRz5dy/XHDuHkMXn4gyZl/jDltWEqasOU1ti1I8N7pPLoeQe06HDEuP7YIYzqmUqZP4JhWiCgd6aXPplenLqGYUoM06pL+4p1wumR7mVAThKaBjsqg5TUhHHodiew2B+ALgSpXieZPicLt5TzlzkrG9SCdDY33ngj4ZoKFrz0N6p2bGbnmoX8NOtR+h18Iq6kVDTdQXrPgQ2+vOk5AKTkDcCZlE5mK/U59QlFrGb/oQyrBU2UZmj83umaoKI2HNexCkVXREpZIaX8Skr5WvS7cjgU7cYrr7zC8OHDSUpKYuDAgXz11VesXLmSCRMmkJGRQUZGBscccwwrV67sbFMVip8d8UY67gCekVJeIoRwAPVbIC4Hrky4ZQnmoAGZdEt1U1EbjrbOtZqNctSfGsaUy/2hSF3Rdms4dY0B2Un8lG8/U2N6H7GOtrEuMy5dwzChKmjgcmhsLPJjWBZaXctLeH1BPl+sLebm44dx8eT+zFtdzPqiagxL0j3Nw5FDc+PuHOVx6jxw1hj+99Um3l9aiGHZuhEOXaN7modAxCQcFS7MSnaS5HKS4nHURT4MU+5Kx4qeMzY59rlt500IQVaSkx83lbOqsLrLtNMdO3YsDzzxEvfeOZ2P7rkQT1omvQ84ilGnXbLbY6sCEY4clht3y1yfW8eUTdXehSDaYWz3jkfj2g0pW3eQFQqFQmEzd+5cbr75Zl599VUmTZpEYWEhAElJScyaNYu+fftiWRaPPfYYv/jFL1i6dGknW6xQ/LyI1+kYDvwx+nPj2Xc5kJUwi9qJXhk+DhmYxfwNpeSlaZTVRghUBJuMa7AgHfUWIqZkQI4dTRjaPaWJ0nh9KoKRup8d0QmkiLaqNetFP9y6oKTarvcwLQtnvRQeXbfTajxOjfs/WM3fzx3LaePa1ra1MW6HzlVHDuKCQ/sxb3URC7eWUxs2SfU4mDw4h4MHZHL/nNV8t6GUVG/DP4vy2rAtDVJvm2lJktyOBhNiIQQSyZuL8xnRY8Re2ZtIrvnNGXzp745Tjwr07Yb+h55Mv0NOorw20qS4ccaMGbzxxhusXr0aKSWjRo1i+vTpnHDCCbgdOkO6JbOltJYd37/N+nmz8ZcUonuS8PQbT4/jLsGZ3LzYoBV9fz3Ohg6GZUl6Zqh+9QqFQrE77rjjDv785z9z8MEHA9Cz567P7/T0dMBeFNJ1nfXr13eGiV2SRx99lGeffZZly5bxy1/+kmeffRaAcDjMeeedx4IFC9iyZQuff/45U6dObXJ8OBxm7NixVFdXk5+f37HGK/Yp4q36rcLuWNUc/WhZrbxLcfMJwxjULYWQIclKctG4rleLphU1xq1rTOpv59QfOjArqpXRvKR3uT9cdy6vU8fn0vE6owrCiDqnxpRQGzYwrObb5oLtKAgheWn+1j2846Ykux2cMrYHd5w6kgfPGsNtJ4/giCE5uB065x3UByEgFGl4b9VBo4EzZkmJhGY7OiW7HSzeWpEwexOBx6lz6ZT+VAUNO2IlbaeppeiVlJIyf4RDB2YztFtKg32fffYZF198MZ9//jk//PADhx56KKeccgrffPMNAOdM6E3+ws9Y/Oo/GHLMLzjxzpc46JJ7CO5YT/6bM1q00bQkWclutEbvM0Jw7Ihue/8mKBQKxX6MaZosWLCA4uJiBg0aRK9evbj66qsJBHYJD6anp+PxeLjmmmu49dZbO9HarkWPHj2YPn06F198cZN9kydP5oUXXqB79+4tHj9jxgxycnLa00TFfkK8Tsdc7NaH6fW2SSGEG7ia5pXKuxwpHicPnzuOy6b0p9wfwWw052xcimBZ9uT614f0q1shdzt0rjl6EDVBOyWp4fGSQNjW7XA5NBr7L/VqwTEtO4LSXNTEsiDJZUcbUr1OFmwp75C8/iHdUrjlxGHUhi0qA5F6+h3SLoSXEiM6We+d4W027UgTdgF6V+PUMT04c3xPNpfWsnR7Jcu3V7F8exUrC6oorg7VOSAR06LMH2FMr3T+dOKwJk7oBx98wKWXXsq4ceMYMmQIDz30ECNGjOCNN94A4JCBWfi3rSC150AGTj6NpOw8egwbT7dJJ1NbsLZZ22K+T1aj2pGqQIQJfTO6dEtihUKh6Ars3LmTSCTCrFmz+Oqrr1iyZAmLFy/m3nvvrRtTUVFBZWUljz76KOPHj+9Ea7sWZ555JtOmTSMrq2HSisvl4tprr2Xy5MnoevNpvps2beKFF17glltu6QhTFfs48TodtwHdgTXA/7BTrP4ELAF6sQ+1PvSHDF76YRslNSGcje5eEtPUkFjRfJecZBdXHtlQv+HYEd258fihhAx7glpRG6aiNkJpNMrhcmgNuk3FcMa2RVv2apqgsfxCzO+JTUBjdR4VtRE6grG907np+KH0z0qivDZCaU0Yw5JETAvDsgXzBuQkk5nsbvb4sGnV6ZN0JTaV+Pl0dREOLZYmJhHY95VfHmBFYRVFVXa621kH9uL+M0c3SXVqDsuyqKqqIinJ1nFxO3Qu/7+TqN6xhfwVC2xHtLIU/+pvSB40sUkTAinBtCx6pHtw10v9CkZMBIILD+uXuDdBoVAo9lO8XjsN9ZprriEvL4/s7Gyuv/565syZ02BcUlISV1xxBeeffz5FRUWdYep+xTXXXMN9991X9/4rFK0RryL5ZiHEAdiK5McDJjAF+BD4s5SyoP1MTCzPfLOJNTuq0TSB0+FAhm0Nhca4HBoZPif3ThvVbCHv8SO7c/jgbL5cW8zS/EosKRnWPYX/fb0p2mEqgqhXeA12bYfLoRGMWLiiwnsyGkUA2+EwTEmGz1nXdlZKiWnRRPsh0SzfXsnz321m8baKuvqT/tlJjOqZRjBi8sbC7eSmuvC6Wv+TCUYspo3rWiJPlbUR/jhrKYGwQd+sJKSUVAcNSmvChE1bkd2S4HYInv/tJDKT4nea7rvvPioqKrjsssvqtt30uwspr6jgwTtuQpoG0jLJG30oB/zmFvKrDGS0TXFMNDIvzUtOyq5r+kMGYUNy+ynDGdIovUuh2FcQQhwKZEop34u+zgIeBUYBHwE3Symbz1NVKNpIRkYGvXr1atTEo/n6S8uyqK2tZfv27eTm5naUifsdb775JqZpcsYZZzBv3rzONkexD9AWRfJ84LftaEu7Uxs2eG9pIZYlcTo0BOB1OQgZFpGo5xFbhx6Wl8J1Rw9h6rCWP5B8LgcnjMrjqGHdEMLuXlXmj/DSD1tJ99nRiVgRuSCaoy9tkbicZBdhU1IVjODQtLoUm8wkJ70ydnWl8odN+mX5GkxKm8OyJGt2VlMTMshKctE/OynuNq3zVhdx/werEQLSfU40Yet2bC2rZVOJn+uOGcyqgmoKKwN4W+keGwibuB06U4d1rdzOj1buoLKefoaItvlN9TbUWinzh/lpWyVHtvI7r8+///1v7rvvPt555x169epVt/2rr77iqX/cz5333kd5yiC+XLKa1e/8h2UvP8jAc26hzB8mEpH4XDo90j0kexwYpkVNyERKyEhycvfpwxjfp/mic4ViH+EB4FPgvejrGcBJwCfA74BK4J7OMU2xP3LRRRfxr3/9ixNOOAGn08nDDz/MKaecwty5c8nOzmbMmDH4/X6mT59ORkYGw4cP72yT91n8fj9//OMfm0SSFIrWiMvpEEKcD6yVUn7fzL5s4CQp5cxEG5doyvxhQoatUxGbjgvA49Bw6VpdcbHPpfHQWWMZ2r35VeawYfHdhhJmfreFlYVVhAyLZLeD8X3SOXl0HmleJy5dI83rpLAyiD9k1KXV+Fw6UwblcM/pI5m1IJ//frURTQhSPA6ykty46+V8WZYkFLE4ZWweG4r9pHoc5DaT3//xih089fUmKgMRNFuzj94ZXq46ctBuJ65FVUEe/HA1PrfWpBNVmtdJ2LD456fruWfaKP7y/irK/RHSfY4GDo2UkpqQiWlJ/nLGKFI8zuYu1SlIKZm9MJ+kOCJFTl3j9YXb4nI6/vrXv3LHHXfwzjvvcMwxxzTYd9ttt3HmmWdy+x+vB6AqeCL/mzyUG86fxk233M6QwcNxOzU+W13EqsIqKgMGXqfO+D4ZnH1gT8b3zmjSOleh2AcZDjwIIIRwAmcD10opnxZCXAtcjnI6FAnk9ttvp6SkhCFDhuDxeDjnnHO47bbbePfdd7nmmmvIz8/H6/UyadIkPvzwQzyejquX27x5M1deeSXfffcdbrebs88+m3/84x84HA4+++wzbrzxRtavX092djZ/+tOfGkTPuyLr1q1j8+bNHH744YDdwaqyspLu3bvz/fff069fv841UNEliTfS8SxgCCGuk1I+1mjfQOAZoMs7HT6XAylls+J1mgBN///2zjtOivJ+/O/PbL9e4ChHF6WJgiLYFbvYEHuJmmjyNeo3MTHW+FNsscWaaJKvicaS2A1ii4qKvYACCghKh6Nz/W77PL8/ZnfZ29vd27vbqzzv12vhduaZmc88MzvzfJ5Ps+qGux02q+J2EiobAlz94iIWbaim1huyYjIEvIEQX67awZKKGk6ZMJDPVu5gxbZ6vIEwNrGqklvHESqqvGyrC3D5Ebuz9+Aibnv9exCFwx6JNlCKBn+Yen+IQo+DP723ArvNIGSa7F6Wzy8OHcHeg4sAeHH+ev7vo1XkOG0U5Thi22+q8XHdy99x2/Q9Y5m3kvHW4s2ElUpZC8JpN6jzh/hmbRV/Onci97/zA4s31kQKCVpB7zZDGFjk5rdHj2L8oMIMr0bnEAib7GgI0CeDAn85ThvrdjS22O6mm27igQce4M033+Swww5rtr6hoQEjLqanwO1g/90s68/JEway++5W+uNjxqXOBqLR9ALysDIfAkwGctlp9fgGGNIVQml6J7MWVHDv28vZWHAC4647nauPHRVLeX7GGWdwxhlndKl8l112GWVlZWzatInq6mqOPvpoHn30UX75y19y6qmncs899/CLX/yC+fPnM3XqVKZMmcLee+/dKbKFQiFCoRDhcJhwOIzP58Nut2O32/H7dxYyDgQC+Hw+XC4Xe+65J+vXr4/t47PPPuOKK67gm2++0ZmsNCnJNJAcrIrkD4vIQ5Kp3043oyTXyegBBSglVtB4pAZH0LR8+kOmSSCsqPEFufqlRfzx7eWs2lYf214pxU2vLubHrXU0+MO4HAbOiJXEbgg13iCC4rVvN3Hy3uU4bQZFOXbyPXb65DnZo18eYwbkYwj8/j/fsaXWR1mBm6uP3YPJw0qpaQxR4w1S3RiiKMeBiOWyVJTroMBjpzjHweod9Vzz0rd8vnI72+v9/OOT1RR47LEYEICQaWVh8gbD3PTq4mYpcOP5ZMX2FgOmc502Pv5xO4OKc7j/rAn8/YL9uOTg4UyfWM4FBwzlgbMm8PhF+3U7hQOIZQfLpEq6UsmzicVz5ZVXcu+99/L0008zatQoNm/ezObNm6mp2Vlkefr06TzxxBM8+eSTrF69mo8//pj//d//Za+99mK33XZLs3eNpldRAURHTccDi5VS0cjdYqBlDV+jyYBZCyq4/pXvqKj2ooCKai/Xv/IdsxZUdLVoMVavXs2ZZ56J2+2mf//+HHfccSxZsoTKykpqa2v5yU9+goiw3377MWbMmE6tmH7+5dfg8Xi46667eOaZZ/B4PLGsX6NGjcLj8VBRUcGxxx6Lx+Nh7dq12O12+vfvH/uUlJRgGAb9+/dPmelKo8k4pgPLH/cFLKvHCBE5WynV0CFSdSBXHrk781ZX0uALNal2F42pEKBvnhsUvLt0M3O+38KNJ4zh4N37snxLHT9srqU+4i5llVGQ2PaBsMnqHV6cduGBOcspyXXFrA/xuB02Vm6rZ8ajn1LocWIqRYHHwc8PGc7k4SV4nHZumvUdboeNwri4AxGhwO2g1hvkt88vwu0w2FTro9DtoE++izyXnYpqr5VFK3I+YVMx/ZFPufv0vdhrUFEzWYIhs1kGrUQMkSZpcIeU5jCktGdMUjpsBkNLctha5yO3hcri9f4wEyIWpFQ89NBDAJx66qlNll944YWxgko33HADNpuNP/zhD1x66aUUFxczdepU7rzzziYWEI2ml/Ms8AcRORwrluPmuHX7AD92gUyaXsi9by/HmzC55g2Gufft5c0KvHYVV155Jc899xyHH344VVVVvPXWW9x2223069ePc845hyeeeIJLL72Ur776irVr13LwwQd3ilyzFlSwqOwYhl57ZGyZx2FjwinjAcstLBMOP/xwXRhQ0yKtGgEppV4EDsN6YXwiIt3j19wKRvbLZ2CRGyWWoqBU0/ocOU6DAYVuK3tVrhO7Abe8tpSttT5e+Xo966u8VDcGCYSswN86X4g6X4iGQJiwaVlPTFOxrS5ARbW3WS0P01Ss3FZPvS9EIGRS4LFTlOMgEArz149WMfeHbdT7Q6za3kiBu/kgud4fYu2ORnY0+KmM1O6o84dYta2BpZtq2V7vR9hZBd0woM4f5NqXv+WHLXXN+6MsD28gfV2NxkCY3cryWt/Z3YQz9xuML2SmtXZYGawUp+87KGWbaLtkn6jCAWCz2bjhhhtYvnw5Xq+XjRs38q9//YshQ3qGoqbRZImZWDEdLqyg8vvj1u0NvNgFMml6IRurva1a3hUceuihLFmyhIKCAgYNGsSkSZOYPn06AOeccw633norLpeLQw45hDvuuIPBgwd3ilzpFDaNJtu0etpVKTUfmBL5Og/YL6sSdTDvfb+FYFhRXuTB4zSwGVbRPgPwOIyIm5WiwR/ixy11rNzWyNodjUx7+GP+/dV6QqZJJAkVYP0fP5SNWj8MgVDYZM2OxiaD3crGAI2BsJXRKs6Vx+2wYjL+9cU6llTUYBjN0/2FTcWa7ZZxKRpobJpWYLsvaClAvqD1ty8YpjFgKTYOw8BUiic+Xd2sP06ZUI4ieZyLdT7WYHzGPj1Ov4xx2B59GRapO5LsPKMVyPcaVNSqjFErttbzwrz1PPPFWj5fuYNQNyyKqNF0FUqpsFLqDqXUSUqpW+PT4yqlpiulHuhK+TS9h4FFyWtEpFre2ZimyXHHHceMGTNoaGhg+/btVFVVce2117Js2TLOPvtsnnrqKQKBAEuWLOGee+7hjTfe6BTZeoLCpuk9tMnXI5I+9yDgS+DhrErUwTz52Ro21/jYUR9AsGplgCAG2CMD+a21flZsa8AbNLEbYLcJ1Y1W5ivTbOKVlZSwqXA5rJS83oClCETZXufHJlb0eYHH0SSw3W5YqWoXV9Q01WQiVDcGCJsqloI3HCnaZyrVpLkZ90Up2FbvJ9dl5+u1VdR4mxYZ3LO8gINH9mFHQzBWlTu2H9MajE8aVsLEwT03favbYeOe0/ZiRN88qr1BarxBgmGTYNikqjFAdWOICYOLmHnyuFjAfzpqGoNc9cJCLvvX1/zto5U88elqZs5ewjmPfWFdO41Go9F0GlcfOwpPQmyix2Hj6mNHdZFETamsrGTdunVcccUVuFwuSktL+elPf8qbb77J4sWL2WOPPTj22GMxDINRo0Zxwgkn8NZbb3WKbN1dYdOk589//jOTJk3C5XJx0UUXNVn3wgsvMGbMGPLz8xk7diyzZs1qsn7VqlWceOKJ5Ofn06dPH6655poOlzdTpeMWoImznlKqUSl1KnADPSBzFcCPW+pYvrkOMaxaGfZIgT4Dy2LgD1kD+G31fgwsJUBEIoNxwW23LCEthSQroLwoJ2YFiTddBsIqZlmoagjw7YYavt1Qw6pt9TT4Q4hhuUbZbUaTOAqABn8YiezTVJF4DEOSChSV024TwiZUNwSxGUKDP9SknYhw/bQxnLTXgFjBvO11fnbUB6jxhjhmXD9uPmlsj0/hWpzr5M/nTOTWk/dkr/IiBMEQYcrwUu4+fS/uOX0v8lqI+QDLenXdK9/ybUUNxTkO+ua76JvvojjXgS8Y5tqXv41ZozSaXQ0RWS0iq6KfrpZHs2swfWI5d84YT3mRBwHKizzcOWN8t4nn6NOnD8OHD+cvf/kLoVCI6upqnnzySfbaay8mTpzIjz/+yPvvv49SipUrV/L666+z1157dYps3V1h06Rn4MCB3HjjjfzsZz9rsryiooLzzz+f+++/n9raWu69917OPfdctm61cnkEAgGOPvpojjjiCDZv3syGDRs4//zzO1zeTCuS35Jm3V3ZE6djefmbDbjstpgSoLCsBYYhKFMRMhV2ETDAFkmZGx3PR92hHDaDQNhEpGksCFgWEAGcNoPSPCe+YJgttX4a/SHy3fZYrY5AyMRmGHgDoZh1pd4Xos5XT5HHwcAiD2fvN5gnPltDSY4jVr26PhDCGzQhYjmx2wS3w8AbCCdVPKI1SExge72fgUWeJoHpURw2g18ftQc/OWAYn63cTmV9gKJcJweMKG2xKGFPwm4zmDKilCkjStu8j6/WVLJyWz0lOY5m7m+5LjuV9QH+/dU6bpimi05pdkmepOV5GY0m60yfWN5tlIxkvPLKK1x55ZXcfffd2Gw2jjjiCB544AH69evH448/zq9+9SvWrl1LYWEh5513HpdcckmnyBXts3vfXs7Gai8DizxN0g1rujczZswAYP78+U0C+Tds2EBRURHHH388ACeccAK5ubmsXLmSsrIy/vnPfzJw4EB++9vfxrbpDEU3pdIhIocC3yil6iN/p0Up9VFWJesAFq2vpl+BizU7GgiEFIEES4KpQGwKQywDkAJCYatuRyBkoojU8xCrfkUwbAWNW3YQ8DhtCMRcdPoXuq0UeMOKWbOjEZfd4MARJXz443YcNmmSntVuE8JKUdkYZPLwEnYvy6eqMcDsRRsJm4rNNT58ofDOtpFChv6gic0QzHDT97yw01JjKPCHwhw+qm/aDE4luU5O3GtgO3u5d/PWd5uxiaSs9l6Y4+DD5dv43TGjcNp1pirNroVSamZXy9CdOP/883nvvfdoaGigf//+XHPNNZ02mNR0H6waIpVs3P9qxh7XfFB/5plncuaZZ3aZfN1dYdO0nkmTJjFmzBhmz57NCSecwGuvvYbL5YopFtECjscffzzz5s1jzz335E9/+hPjx4/vULnSWTrmAvsDX0X+TjV7FfX46faJmR02A6fDoMDjYGutn/hxY9RyEVYQNsOYSjDEIN9tp7zYw4qt9RF3J4UIOAyxqpgrRaM/jNNu1eoIhhV9chyYSlHVGOTUieX85ug9Ysf556er+WxVJWETxLYzPsRUlotXnsvOym31jOpfwBVH7M4pE8q5+dUlbK/30z/HRY03RDhSVyQa5G0gsYsQzVwFVrC5UopAWOFx2LnwwGGt6q+wqfh6bRU/bKnD7TCYPKyUIaU5bb8AvYDqxkDKwpFgKZwKhS8U1kqHZpdGRI5QSr2fZv3vlFJ/7EyZOpvrr7+ef/zjH7hcLpYtW8bhhx/OxIkT2XfffbtaNE0nEa0hEvWwiNYQAfRAX9Nh2Gw2LrjgAs4991x8Ph9Op5MXX3yR3NxcwLKEfPDBB8yePZsjjzyShx56iFNOOYVly5bhdLZcTLmtpBsVTQWi1WmOSPOZGvm/23PkmH40+MM0+MM4bIJSkcF+JPjCHouPsOIgnDZrML98cx3BsIk/aOIPKXIcBkFTETZNTFNR6HFgNwR/0IoJEYHqxiBHji7j8qkjm8iwpdZPeZGHAo+dUNhy6QqZVoxH/0I3JblOKuKyRgwodLO13sfIsjwGl+Sye1meFYcSde9SxALAnTZwxaqaW9uHTIXTZnD98aMYUJh5YNi6HY1c+PhX/L9Xv+OJT1fz17krueSpefzhze+bpQHelRhSmoM/zfkHQiZuu41cZ2tK4Gg0vZJXRCRpSWUR+S1WGt1ezbhx43C5LBdViVhIV65c2cVSaToTnZJW0xXMmTOHa665hrlz5xIIBPjwww+55JJLWLhwIQAej4eDDz6Y448/HqfTye9+9zt27NjB999/36FypVQ6lFIfKqXqI3/PjXxP+elQKbPEiXsNwG4IjYEQwbDCiNayiOgaIVNhMyzrhsMm1PlDbK3zg1IIgi2SycoXUtgidT7y3HZKcp2UF3sYWprDhQcO5dLDRvKPC/fj+mljms1294nESAzvk8vYgfkM75PLiD65jCsvpF+Bta4kZ2ccRUMgbKW9tVn7cTlsjO6fz5AST8R9CmwCQ0o82AwDwzBwGEJpnpPBxR765bs5ce8BnLZv5jm/GwMhfvfSIiobAhTnOOmb76JPvlXo8P1lW/nrh1370vzoo4845ZRTGDp0KCISq5waJRQKcc899zBq1Cjcbje77747jzzySLP9vPjii+y7777k5eVRVlbGjBkzWLFiRdpjnzDecj8zU6QYrvWFOGnCgIyyYGk0vZwXgP+KyLD4hSJyJVax2V9lshMROU5ElovIChG5Lsl6l4g8H1n/ZZLjDRGRehH5XVtPpD1cdtll5OTkMHr0aAYMGMC0adO6QgxNF6FT0vY+0mWMamxs5LLLLqNPnz4UFhZy6KE7oxMeeOABRowYQUFBAQMHDuQ3v/kNoVCIjmDhwoUceuihTJo0CcMw2G+//ZgyZQpz5swBrPiNVG7iHUlG/h+RTCSpZqz27ClZSkrzXJy276CoMcPKLmWqmFVAgGDYipEoL/JYLldAY9DEHwojItgNA0OEkjwXb195CL+fNpafHzqCW07ekzd/fQg3TBvL2ZOHMLgkuRvSkaPLELHS0TpsloKT57ZbdT1My0pyyB59Yu1znDbshtGkBoQCcpx2divLI99tx2YzcNlt9MlzYRMhz+2gNM9FvtvBLw6zZLPbMnf1+eiHbVQ3BinwNJ2tN0QoznHw5nebqGkMpti646mvr2fs2LHcc8899O/fv9n6m2++mXvvvZe77rqLpUuXMnPmTK655hoee+yxWJsvv/ySs88+m9NOO41vv/2WN998kx07dnDCCSekPfaYAfkcNaYflfWBJhYfK71wgH4FLs5ohYKn0fRiLsVKq/6uiPQBEJFfYRUJ/I1S6tGWdiAiNuAR4HhgLHCOiIxNaHYxUKWUGgk8gFWQMJ77gc7JP5qERx99lLq6Oj7++GNmzJgRs3xodg10StreR6qMUQC/+MUvqKys5Pvvv6eyspIHHthZjujkk0/mm2++oba2lsWLF7No0SIefrh9VSdCoRA+n49wOEw4HMbn8xEKhdhvv/34+OOPY5aNBQsW8PHHH8diOs4//3y++OIL5syZQzgc5sEHH6RPnz6MGdOxSXAy9QEZhlVVNhluYGhWpMGa1QIewooR+Xu2s2PVNAaxi1juVViKhj8SJC4imKbCbsCmGh9mgheNTSTizy9sqfExa+FGfnXkHs0PkoZhfXI5ca+BzF60kTyXDXckVZ03GKbBH+In+w+jLN8da++wGRw9th9vfreJ4lwHmyI1RiBaTV0xZXgx50weisthMGFwMYZAMKwoznG0StmI8umKHaTaLFojZOmmWg7Yre1ZoNrDtGnTYrOF1157bbP1Tz75JFdddRWnnnoqACNGjOCrr77ijjvu4Oc//zkAn3/+OUVFRdxwww2xNr/73e84+eSTqampobCwMOmxRYSrjhlF/0I3L83fgDcYRLAC+w/YrZT/PWJ3inI6zh9So+kpKKVMETkbmINl8Xgey6XqKqVUpm/aycAKpdQqABF5DjiFna6/RL7PjPz9EvBnERGllBKR6cBqoEvzWNtsNg4++GCeeeYZ/vKXv/CrX2Vk5NH0Aq4+dlSTmA7QKWl7OqkyRi1btozZs2ezYcMGCgoKAJrEb+22226xv5VSGIbRondFS9x+++3ccsvOBLPPPPMMN998MzNnzmTmzJmcfvrpbNmyhb59+3LDDTdwzDHHADBq1CieeeYZLr30UrZu3co+++zD7NmzOzSeAzJXOiB1IPkkoLr9ojSZ1Toaqy7IPBGZrZRamn7LzGkIhCjw2GkMhHdmjxJBIkX6FOANWFW9E4lmu3LaDWyG8NqiTVx62MhWBwz/7xEjKS/y8OxX66hpDKKAQo+Dnx88nKmjywiFzSbKwk8OGMoXq7azfHMdvqCJwyYgQiissBvC+iof3mCY48cPaJUcobBJtTeI22HLqEZFT8Hn8+F2u5ss83g8rF27lrVr1zJ06FAOPPBAqqureeGFFzj99NOpra3l6aef5qCDDkqpcESxGcIFBwzjzEmD+WFLHcGwYmhpDn3y9AymRhOPUsonIicCn2ApHNe0shJ5ObA+7vsGYEqqNkqpkIjUAKUi4gOuxXqfdIlrVSKhUEjHdOxi6JS0uw5fffUVQ4cO5eabb+bpp59mwIABzJw5k9NOOy3W5t///jeXXnopdXV19OnTh/vuu69dx5xwys850H1o0nvriiuu4Iorrki57YwZM2IKVGeRLmXub4DfRL4q4DURCSQ08wAlwHNZkieTWa12sVvfPHJcdup8YbzhpoqFYGWl8odMKzA8Lg2tRNJbBcJmzNqhTJN3l25h7Y4GGoNh9hxYwGF7lOFxpk/kJSKctu8gTpkwkI3VPkxlMm9NJU9/sY6H3luBzRAOH9WXCw4YxsAiD33yXPzu2NH8z9PzEbEybKEUJblO+he6UUrxxKdrOH7PAS0eGywXshfmreelrzfQGAyjlGKfIcVccsgIRpblcfDIUr5cvSPpttGg9bEDC1o8Tldx/PHH8/DDD3PkkUey55578tVXX/H4448DsHHjRoYOHcrkyZN59dVXufDCCznvvPMIhUJMmTKFN954I+PjuB029hpU1EFnodH0PEQkVaHYLUAZsHdcG6WUurADxZkJPBBJ+562oYj8AvgFwJAhQ7Jy8K1bt/L+++9z4okn4vF4mDNnDs8++yzPPvtsVvav6TnolLS7Bhs2bGDx4sWcdtppbNy4kc8//5wTTjiBsWPHxtyWzj33XM4991x+/PFHnnrqKfr169fm4/XEzGjppuhXAe9FPgLMj/se/byMpZj8PEvyJJvVymrP7TmwgG21/iYxElEUYDNAoZoFAiulQKyMV4GwSYHbzvbGIPe8vYyXv9nAfxZs4Pf/WcyR98/ljW83Wu1bIBA28YVC/On9Ffztw1X4QmFK85zku+289/1WLvvXN6yvbARgcUUNpblOxg8qYsyAfPYsL2RwiQeHTXDaDUKmybcbqls8pmkqbn1tKU98tgYEinMcFOU4WLC+il8/t4DvN9Vy6B5lFOc4m8VtRNMAT9trQNIig92Fhx56iEmTJjFhwgQcDgdnnHEGF198MQCGYd3yy5Yt45e//CVXXnkl8+bN4/3338fpdHLqqacSDje3cmk0mow4FDgkyWcElotT4vKWqADig6QGRZYlbSMidqAQ2IFlEblHRNYAVwI3iEjSaT+l1P8ppSYppSb17ds3A7FaRkT4y1/+wqBBgyguLuZ3v/sdDz74ICeffHJW9q/RaLoXHo8Hh8PBjTfeiNPp5LDDDmPq1Km88847zdruvvvujBs3jssuu6zNx+uJmdHSZa96VSn1U6XUT7GqzP5v9Hvc51Kl1MNKqcbOE9malRKR+SIyf/XmSh549wcApv5xLqu21fPdhhpO/NPHANz++lIe+8iKc598xxxe+noDYaVIlfTUF1IEQorGYPPCgdFZfgGqvUG8gTCVDQE2VnvZUednR0OAHXV+fv3cQqb+cS7eQJiz/vY5n6/cwZZaH5PvsLIGPDp3Baf/5TPO+OvnnPjwJ7y6aCObanx8v7EWsLJaNAZCeANhpj30Mau21bNyaz3rKr0YAhurfWyusTJffL22ikDIpN4X4ubZSwC4/pVv+feX6wAYd9N/qfeHmLN0Cxf/cx7z11Yxa2EFSilcdoMvVlViiBWTsL6ykYff+5HL//0Np04spyjXwZerK9lW52fltgaWb67jqDFlfPzj9mbn9NhHq7j9dcsgdeKfPua7DTWs2lbP1D/OBeCBd39o1XXaUuvj85U7OOtvn6c9p2h8y6+eXcCrC62xyD73fM4LL7zA81+s4IIHX2fNmjV8WGFdz7LyIYy76b/84Q9/oGTQbjSOO4UJEybw1x/c/PaOP/Pxxx8z9pL7uvScLv7nvGbnNOw6ywLz6sIKfvXsAgAu/uc85izdQr0/xLib/gvAv79cx/WvfAuQ9N7T56TPKfGcsolSaphSaniGnxEZ7HIesLuIDBcRJ3A2MDuhzWwgajE5HXhfWRwSkWcY8CDwB6XUn7Nzpi3z6YYAoeNvpvjSfzH+hlnc9tR/YzFlGo2m95Gsonc6K2t73S17YmY0yWRGvrMQkQOAmUqpYyPfrwdQSt2ZaptJkyap+fPnZ7R/01Ts/4d32VrfcuYluwEOmw1/KIwZl93KbsDIsjxWbmukX6GLqoYgprJiK6IEQiaFOQ5OnVjOdcc3zQRgmorrXl7E56srcdkMttcH8Ies+BJTwdDSHIpyLCuCqRQ1jUH+/fP9WbCuinvf/oHi3OYWBhWxQPz9gv1aLN5306uL+Wp1ZewYifup9ob4x4WTGFScQ9hULFhXxY9b63HZDSYPL2FQcfcqDjhs2DAuueQSbrzxxrTtDjnkEAzD4MMPrezOp512Gj6fr4k71caNGykvL+edd97h6KOP7lC5NZrugoh8rZSa1NVypEJEpmEpDTbgcaXUHSJyKzBfKTVbRNzA08BEoBI4O+qiG7ePmUB9JsUIW/NOSUWi2wNYwcN3zhjfbd0eNBpNZoRCIUKhELfccgsbNmzgsccew263o5RizJgxXHjhhVx//fV8+eWXHHfcccybN4/Ro0fz97//nZNPPpmysjKWLl3KGWecwbHHHsv999/fJjkOuuv9JnXdopQXefj0uq4rn5funZJx9LCIjADOBIZgZayKRymlLm67iDFis1pYJvOzgXOzsF8AvlpTmZHCAeC027Abgs2w4w2GMU0ryNxpt1HvNynMseO2GYRNZQV2x2EYgjIVHyzfxiWHjGgSYPzW4k288d3mWJ0Hf8hEKXA5rOD0DVVeCj0ORKwUtTZDqPEGOXj3vjw6dyX1vhB57qaXraoxyN6DijKqFr6jPoDTnlzzFhFsItR6Q1BsBUxPGlbCpGElGfVZZ1FfXx/L+BAIBNi8eTMLFy4kLy+PkSNHMm/ePNasWcM+++zD1q1bue+++1i4cCGffPJJbB/Tp0/noosu4oEHHuDkk0+mqqqKG264gYEDBzJlSmKcqkajaQsikgP8DDgMK/6vEvgAeEIpldF0nFLqTeDNhGU3xf3tA85oYR8zWyV4O0nn9qCVDo2mZ5MuY9Srr77KJZdcwl133cXQoUN56qmnGD16NACffvopv//976mvr6dv376cccYZ3HbbbW2WoydmRstI6YikHXwByx1rK+BPaJIVc0kk88gVwNvsnNVakqV98/ePW1dOJBiOVvo2MA2r/PfU0WWcvu8g7n5rGVWNAXYm3m2KYRgYwA+b6+gz0lI6qhoC3Pr60kiVcKs6bchUhMOKQMjEZTcQsTJs5bnsmKbCVFCa68LtsPGHGeO57uXvqKwPYLdb8SVhUzGoOIfrp2WWW3lE31x+3FpHsqyuprKqrJcVNM/CVNMY5PNV26nxBinLd7P/iNKMgtY7gvnz5zN16tTY90ceeYRHHnmEww47jLlz5+L3+7nllltYuXIlTqeTQw89lM8++4zx48fHtvnJT35CY2MjjzzyCDfeeCO5ubnsv//+vP3227FUdxqNpu2ISH9gLrAHsBbYjBXbcRrwvyJyuFJqS9dJ2HH0RLcHjUbTMrMWVPCu+1CGXft60kxk48aN4/PPP0+67RNPPJFVWXpiZrRMLR23Yb08zlNKbes4cZLPamWDzbU+Vm3PLFW7IVCS6yTPZafOF0IEijwOfEGTfYcWc8BupTjtBqZKrm0pheUGpSyrR5Q3F2/CGwhHKolby502A68ZBmW5ZbkcNsyIP1d1Y5CDd+9DYcQVanT/Ap782WTe/34L89ZW4bQJU0f3Y/8RJbjsmSkAJ+09kLeXbCZkmtiNpiE91Y1BpgwvbWKZUUrx9Bdr+feX6zBNRTjiSuawG/z6yN05emzz4nwdzeGHH542UP/ggw9m8eLFLe7nf/7nf/if//mfbIqm0Wh2cg9QDByilPo0ulBEDsRKQnI3cFHXiNaxDCzyJHV70AXhNJqeS3fMFtXTMqNlqnSMwCro1KEKR0fiC5psrfW1on2Y8iJPLPZBKUXQVOw7tBiX3caFBw7jj+8sb6J0KCAUVrgcBjkOG96gyZ7lO2s+vLt0C3kuO1WNQaIqgiFWmt5ApDJ6KGwiCNvr/ZTlu7ls6sgmchV6HJy6zyBO3WdQm/phj375/GT/YTz9xRoMgVyXnVBY0RgIU1bg4tdH7Q7A+spG3l6ymfe+38KyzXX0L3BRnOuIKUv+kMk9/11OnsvOAbv1SXfIDsM0FUs21rK1zofHYWPvwUXk9qJ6IxpND+d44Np4hQNAKfWZiNyIVbejV9IT3R40Gk16tNtk+8l0hLYM6Jry01nCZTdoDGSWCtVUUOMNsmRjLUNLc8hz2ahqDLJ7WT7jI0rEqRPL8YdM7njje3zBcCTFrpDntjOoyEONL8g5k4c2KbrnD5oU5zqp9gYxlaVwiFgpb22mwhcycdgN8tx2zhw/mOkTymNWjmzykwOGsmd5AS99vYHlm+sozHFwzuT+HD9+AAVuO3/7cCWvfFNBWJlsqLRm69bs8JLrCjC8Ty42Q3DZDYIOg398spr9R5SmzdDQEXy5agcPvfcjO+oDRA9tM4TpE8r56UHD2lSJXaPRZJU8YGOKdRsi63slPdHtQaPRpEe7TbafTJWOa4AHReTLxKwgPYVGf4hWJepSVhG9H7fUMbDIw4TBRcw8eVxscL2uspFtdX72GlTIss11mKZJgceJ22HQGAxz+r6DuejAYU12OX5QAR8s20qRx87mWj+R0h/YDMEAXA4br/zyQEb1Tx1TUN0Y4L3vt7B8Sz05DhuH7NGHiYOLm7hxZcLEIcVMHFLcbPlLX1tFA4tyHFbVdkOwG4JSigZ/iLU7GhjR1xor5DptrK/ysqnG16luA5+v3M7Ns5fgshsU5dhj1yQUNnlh/nq21vm4YdqYTleENBpNE5YDPwH+m2Td+ViTWb2Wnub2oNFo0qPdJttPpkrHTCxLx/ci8iNWBpJ4lFLqsGwKlm0KcxwImUe8m0oxuMhDY8BkwuAiHjhrQmwQ+9Z3m3hwzo8opfA4bZQXuanzhQA4f8pQTtp7IMW5zSO1T957IM/P24A/GMZptzJfRT9KhOPH9WOPfvksWl/Nm99tYnOtj7J8F9PGD2DvQUW8vWQzD7//I2FTRVLsKt5avJkhJTn8YcZ4+uY3DwBvDcGwyb++WEee24bNkFhsCVgWGbuBVck9GMbjsEWyXdHM3NiRhMIm97/7Ax6HrVkgu91mUJzr4MMftnHy3uWMH1SYYi8ajaYT+CPwlIj0A/4NbAL6Y2UlPApLIdFoNJoegXabbD+Z+qCEsWatPgO2Rb7Hf1LV2us2OO027PbMXW7CChoCYQaXeFi6qTa2fMXWOh6c8yO5LhsleU48Thu5Ljv9C93kuuy8umhjyqxO326owR3JUCUITpuB22HDZbcG0BWVVlDS1S8tYu7yrazaVs9HP2zj2pe/5eIn5/HHd5bjcdgoyXVSlOOgJNdJca6DdZWNXPPSIoJJqqy3huWb6/AFw7GgdJfDQMUFy1tKl6LOa6UdDkfSCPcrSMyg3HF8s66aWl8wZR8bIggSK9bWEh999BGnnHIKQ4cORUS4/fbbU7ZdunQpubm52O3NdfVwOMxdd93FqFGjcLlclJWV8ctf/jKzk9JoeiFKqWeAS4E9gb8DbwD/APYCLlVK/bsLxdNoNJpWMX1iOXfOGE95kQfBqoeha++0jowsHUqpwztYjg6nMRCif4Gb9VWNGbtZban1EwiGCSu4861lTBpazLw1lSgUziQKTL7bTlVDgE9XbOfIMf2arAuFTV7+poIBhS6Kc51sr/Pjj6TJ7VvgosDt4IctdWyq8VFe7I5ZVXJdVhD7vDWVOO1GUmtGca6DjdVevlpdyUEj2x7UHQibxHskuSPWBF8w3KT4YVS3qW4McszYfk3iVjqaTTVeWtKtPE6DldvrM9pffX09Y8eO5dxzz+XKK69M2a6xsZEzzzyTI444grfeeqvZ+osuuojPP/+ce+65hwkTJlBXV8eaNWsykkGj6a0opf5PRP4OjGJnnY7lSqluP1Gl6b3k5TUNJ/J6vVx22WX86U9/AuC9997j8ssvZ926dUyZMoV//vOfDB06tCtE1XQztNtk+9hlom2Lc5y4HEarK4pUeUPU+UK8t3QT972znGe/WoctXayAwNdrq5ot3l4foLohwNpKL2t3NNAQCBEyFQ2BMFUNAXzBEA3+EHabNItFCJmKUFjhDYTxh5K/q0WEd5ZsTnsu9f4Qry/ayO2vL+W215cya0EFtb6dxRIHFXkImxAyTUJhE6UUQ0pyMEQIhlVMWbPbrOxaAwrd/PzQEWmPmW1cdoOWwlfCpsKdYQrhadOmceedd3LWWWfhcqV2T7v88ss5+OCDOe2005qt++CDD3j22Wd59dVXmTFjBiNGjGDvvffmlFNOyUgGjaY3o5QylVLfK6U+jfyvFQ5Nl1JfXx/7bN68GY/HwxlnWPUlt2/fzowZM7jtttuorKxk0qRJnHXWWV0ssWZX5c9//jOTJk3C5XJx0UUXNVn3wgsvMGbMGPLz8xk7diyzZs2KrVu8eDHHHnssffr06VbxrRkrHSJSLiL3i8h8EVktIntGll8pIt2+hLPbYUNF3IFaiwK21gcpznWiFKypbEjpyqQUTawCUbbUedlQ7aXOF8IXNPGHTAIhE9M0qfYGWbG1AQVJA8JNM1LlHKj3Ja+obrcJdf5QynN4d+lmzvrb5zz8/o98unI7n63czqNzV3DW377gtUWWK9LmWh+mMvl2fQ1LNtbxXYWVjnZIiYfSXCdB08RU4HHaOGfyUP507j4UJasy2IHsEwl+N9OYq/whk6PGlGXtmE899RTz5s3jgQceSLr+5ZdfZsSIEcyZM4eRI0cyePBgzjzzTNatW5c1GTSanoiIjBeRl0Rkm4iEIv+/ICLjW95ao+l4Xn75ZcrKyjjkkEMAeOWVVxg3bhxnnHEGbrebmTNnsmjRIpYt69V5DzTdlIEDB3LjjTfys5/9rMnyiooKzj//fO6//35qa2u59957Offcc9m6dSsADoeDM888k3/84x9dIXZKMq1IPg74GCt+43NgIhAdbQ4FJgPndoSA2aLBH2Jzra9VweRRDKDeF8IbCJPjtLG9IcDiilqcdoNCj4O++S5cEXcrAfYf0Ty78F/nrmpqpVCAKAJhIKxis/fJXJXsNmulUlY632QEQia79U2egfLD5Vu597/LyXXbyXfbm2338Hsr+GJVJfPWVGIqIkHuVkrfqoYAVQ0B+uQ5GVqSw3XHj+awPcpanS0rW5QVuDlkZB8++nE7JXF1Q6I0+EPkOO0claWihd9//z1XXXUVH3zwAR5P8gwVK1euZN26dTz11FM89thjuFwufv/733PEEUewePFi3O7Oi3nRaLoLIrIf8CHgBWZjVSTvD5wEnCAihyqlvu5CETUannzySS644ILYu2TJkiXsvffesfW5ubnstttuLFmyhNGjR3eVmJpdlBkzZgAwf/58NmzYEFu+YcMGioqKOP744wE44YQTyM3NZeXKlZSVlTFq1ChGjRrFihUrukTuVGRq6bgP+B4YDszAGltH+QzYP8tyZZ2qxkAs8Lm1RB9Gq7bVU+uzUu/6QyYN/hAVVV4Wra9m1bYGttcHKCtwM3l4SZPtv1pTyX8XN3V9UhCraK6wAtfDyhrkJ07i2wyhOMeJUiqm3MQTjmgi08YPSLrukQ9W4nHakm7rtBsopXjp6w3ku+z0zXcxql8+JbkOTGWdu6mg1hfiqmNGMXV0vy5TOKL89phRjBlQQGVDkDpfkGDYxBsMU1kfwBDhjlP3pNDT/vomfr+fM844g9tvv50999wzZTvTNPH7/Tz11FNMnTqVAw88kOeff57Vq1fz5ptvtlsOjaaHciewGBimlPqpUup6pdRPsd4jiyPrNZouY+3atXz44YdceOGFsWX19fUUFjbNfFhYWEhdXV1ni6fRpGTSpEmMGTOG2bNnEw6HmTVrFi6Xi7322qurRUtLpkrHwcBdSql6mhsKtmDNXnVr8l2O9LEYaVBYyoovaJJ4+iKWBWJrnZ/NNT6uPGqPJoXpGvwhrnp+IQqwCbQQDsLWOj9rdjQ0UzwKPQ5cdhvBsNkkla0vGKa6McipEwcxvE9us30uXF9FjTd1tieAysYAKGiMpIFz2A0Gl+Sw58ACRvW3CiL2K3CzuKImtfCdSK7Lzn1n7s2NJ45lZFk+glDgdnDBgcN4/KL9GDcwO6lyN23axJIlS7j88sux2+3Y7XYuvvhiwuEwdrudP/zhDwAMGDAAEWHMmDGxbcvKyujTpw9r167NiiwaTQ9kf+BOpVST0Vrk+93AAV0ilUYT4emnn+bggw9m+PDhsWV5eXnU1tY2aVdbW0t+fn5ni6fJkHRxD1FuvfVWRIQ5c+bEll100UU4nU7y8vJin3C480oAtAebzcYFF1zAueeei8vl4txzz+Vvf/sbubnNx4HdiUyVjnSBf32wzOfdmsIcB8P6tu1iRMf4NgOCYYUAdgOcNsEmgt1mpb/Nc9n452erm2z74Q9bqWy0qmYr0ne4IVGXpiA13gBgZa6q8QZRSvHQ2RM4aGRfanwhar0hqhuD2A2Dy6aO5NLDkgd0b6z2tRj/4A2ELVevOPevsKmoagyyvrKRldvq2V7v5+VvKqjxJo8p6WwcNoPD9ujLQ2dP5KVfHsjTF0/h/P2HUprXvlol8ZSXl/Pdd9+xcOHC2OfWW2/FZrOxcOFCfv7znwNwyCGHoJTihx9+iG27Y8cOtm/fzrBhw7Imj0bTw2jJsNwWw7NGkzWeeuqpJlYOgHHjxrFo0aLY94aGBlauXMm4ceM6WzxNhqSKe4iycuVKXnzxRQYMaO4Ncs011zRJLGCzZZaEpquZM2cO11xzDXPnziUQCPDhhx9yySWXsHDhwq4WLS2Z5jr9Cvgp8FqSdWcCn2ZNog6iMRBi5dbM0qgmQ4i4Q0WqiDvttoQ0sgp/yOSHzfWs3t7A8D651PtDPPbRaoIhEyKuVOm0N8vFykrHW1HtwxCDsGkybmAhPz90BGMGFHDEmH5UNgTYWO3FaTcY0Sc3ZllZu6OBN77dxA9brInFMQMKyHXZ0lpXQmETEUHY6UZW1RBgfZU3dq5Ra069z8dZf/uc3x0ziqPG9ku90x5EfX19zOcxEAiwefNmFi5cSF5eHiNHjmzmVjV//nyAJsvPOecc7rjjDn72s5/x8MMP43Q6ufbaaxk5cmTM31Kj2QX5ErhBRObEWztEJBe4FviiyyTT7PJ89tlnVFRUxLJWRTn11FO5+uqrefnllznhhBO49dZb2WuvvXQ8RzcmVdxDlMsvv5y7776byy67rLNF6zAWLlzIoYceyqRJkwDYb7/9mDJlCnPmzGHChAldK1waMlU6bgPmiMg7WJVlFXCUiPwaOBU4tIPkyxqPf7Iab7DtmRodhpW6FqxZdltiXEPkq0KxbFMtC9ZV8Y9PVrNqW32rYkmCIUU4HGZQUQ4PnzMxFqgeT0muk5K4iufeQJi7/ruMz1duB4jFbizZWEvIVFQ3Bih027HZmttZbIagIhUAc102qhoCrKv0YjMEI665QqEMwe0wuPu/y1Aojs5SsHZXMn/+fKZOnRr7/sgjj/DII49w2GGHMXfu3Iz2kZOTw5w5c7jyyis5/PDDycnJ4bDDDmPOnDk6iFyzK3MDMBdYKyKvs7Mi+TQgBzi8yyTT7PI8+eSTzJgxo5nbVN++fXn55Ze54oorOP/885kyZQrPPfdcF0mpaS8vvvgiLpeLadOmJV3/6KOP8uijjzJ8+HBuuOGGpGnxu5JQKEQoFCIcDhMOh/H5fNjtdvbbbz/uuusuFi5cyIQJE1iwYAEff/xxTLFSSuH3+wkELK8Zn8+HiKQtDdAZZFoc8EMRmQ48CDweWXwXsAaYrpT6siOEyyYvzF/fru0DpqVXRMftvuBOv7+oxSPHY5nlPl+1g89X7qDAY8fjtFkWjqCZkeIRDTDfXOdjWGlOk/iQZATDJjfOWsy3G6qbZHNSShEyFZUNAWq8Qb5eV02+207fPBdFuc6YzC67gYjgtFsuYj9W1VsKR4JOFTIVBR4HbocNEeHBOT9ywG59OrUwYEdw+OGHW0pXhlx00UVJfUZHjBjB7NmzsyiZRtOzUUp9JSL7AzcBx7KzOOAHwG1Kqe+6Uj7NrsusBRUsHn4WG6u9HHTX+1x97KgmBd+OOuoonSK3F1BXV8cNN9zAu+++m3T9r371K+677z4KCwt55513OOuss+jfvz8HHXRQJ0uamttvv51bbrkl9v2ZZ57h5ptvZubMmcycOZPTTz+dLVu20LdvX2644QaOOeYYwEqSEB+r5PF4GDp0aJcXLc54xKiUegN4Q0RGAmXADqXU8g6TLMvUelPXsMgUBYQixfOiGLIze5TbYcM0FZ/+uJ2iXAcOm0FprhNvwGu1y3Bsq7CUiY9+2M4RLdSb+GDZ1mYKRyBksmpbA/6QVWHc4zBoDJg0+MP4Q1421foYVppLjtNGjTdI/wI3YWUpKErRxMIBRAblQlnE4uKyGzT4Q3ywbCsn7T0ws5PSaDS7HEqpb4HTu1oOjSbKrAUVXP/Kd3gjE4cV1V6uf8XSf3Wl6d7FzJkz+clPfpIytnKfffaJ/T1t2jTOO+88XnnllW6ldEw45ecc6D6UjdVeBhZ5mijIV1xxBVdccUXS7YYNG9aqCdXOotUVyZVSK5RSn/UkhQN21rrINtG0t3ZDWF/lxW4TbDbBYRjU+UIEI65VrXHsksj+np+fvricUooX5q/H5TBiCkcobLJiWz3+cBiHTbAbgs0wcDts2G2CIUI4rFixtZ6tdX4O26Mv/7pkCiftNZAttT5QKnajRq0lIVMxoMhFbpxVw2k3eLuFCui9gXp/iA1Vjaze3sDWWl9MwdRoNM0REUNETooWj03RZryInNSZcmk0Ue59e3lM4YjiDYa59+0eNaTRZMB7773Hww8/TP/+/enfvz/r16/nzDPP5O67707aXkS61UA9qiBXVHtR7FSQZy2o6GrR2kxKS4eIXNCaHSmlnmq/OB2Hs4OUDgAUGCKIWPEVCli6yYqnMCOD+Nbcx1H3prU7GtO2q24Msq6ykeKcnTUpttb5CYZMHAluWXabEArD6P75BMNWjZHBJTncMG0MIsJVx+zB+8u2sL7KSyisELHkznHa6FfgpiCh7oXdEOpSVEfv6SilWLShhle+2cAXq3ZgM6xA+7CCAred0/cdxDFj+1Oc27nV2DWaHsD5wKNAuorjdcCzIvJzpdSznSOWRmOxsTp5ss1UyzXdn1RxD++99x7B4M5xyn777cf9998fS/Dy0ksvcdxxx8XiMp955hleey1ZvqSuIZ2C3FOtcuncq/6Z8D06bJYkywC6tdIRCrc9iDwdRiSzk9th0DfPydpKL8GwwjAsRcRhCIYhmIYikzh2K25EcNoNHC0oSr5QGJtIzMphmood9YHmQe6R/SKWJp/rspPjtLG5xsfyLXWM7l+AiDC8Tx6GgN1mYCqF3TBwJikoCJZLWZ6r/QX4uhsbqhq56dUlbKhqRASKPI4mxRB9wTD/+GQ1j3+6hrP3G8xFBw5rVhVdo9mFOR94Qim1OlUDpdQaEfkHcCGglQ5NpzKwyENFEgVjYJGnC6TRZIPzL7+G5//vgdj3+LiHeGw2G8XFxeTl5QHw0EMPcfHFF6OUYvjw4Tz22GMcfvjhnSh5enqjgpxO6Rge9/cgrKxVbwDPYRUE7AecAxwf+b9bY7fbgOzOzNvECiwPhKHOH6LGG4ppYaZpZXwKhdNnrhKaam4KKybDNK3Uuf5QGJc9ed7ofLeDsLKsKYYIDRErS7IiiCryT1QhERHCJny+cgej+xcAcMTovvztozry3C3nqfaHTI5sId6kp7FqWz2/eWERgWCY4hxHUmXC7bDhdtgImYp/fbmObXV+rj52lFY8NBqLfYA/ZdBuDnBeB8ui0TTj6mNHNYnpAPA4bFx97KgulErTVmYtqGBR2TEMvfbI2DKPw8aEU5obWxODqD/++OOOFq9d9EYFOWVMh1JqbfQDXA08p5S6TCn1kVJqeeT/XwIvANd0lsBtpa3VyNNhKiuwHCwlIx4V90lH4nojosjYDGFztY9rXvrWKt6XhDyXnf2GlVAbKdhnKoVpKnwhE28wjDcYxhcyCZuW8lOU42iSlcpmENsW4Kix/bEZ0qRIYDICIRObCEeO6R21OgB21Pu59uVvCYbDFKZQOOKxG0JJroN3l27hn5+t6RwhNZruTz5QlUG7qkhbjaZTmT6xnDtnjKe8yIMA5UUe7pwxvse6q+zq9OYYnauPHYXH0XQSuKcryJkGkh8JJM85Bu9E1ndblFLU+9ufvSr5vuP+jvwfHdi3NhzJEHAYgsNmkO+xU17sZunGWu55O3XqvtP3HYSprOxc6yob8YdMQmFL0bCUDUsB8YfC5Lqa3rxhkyaxGoUeB5cdvht1vlBKxSMQMqn1hbh86kgKPb3HverlbzZQ1RikwJ35ORkiFOU4eH7eeqoaAh0onUbTY9gODM2g3ZBIW42m05k+sZxPrzuC1XedwKfXHaEVjh5Mb3RBitIbFeRMU+b6gUlYJvFE9gO69YgrGDbxBsIYtC6LVEtIxDdKAYYhhE0Vq+wtJA8eNwCXw8AXqdsRda+yCTjsBoI1+B9SkoMRmU3/dMV2NlQ1Mqg4p9n+Jg4pZv8RpTz31TqMSPVwoEm9DgC7YbCx2ofTZlDgcaCUwmbA/iNKm+zvpL3LUQr+Mncl9f4QboeBzTAIhU38EQvHr48cyYm9KFWuLxjmtUWbKHC3vuaIzRBMpXh7yWbOnjykA6TTaHoUn2DFavyrhXYXRdpqNBpNm+mNLkjxTJ9Y3qOVjEQytXS8AMwUkatFZJiIeCL/XwPcDDzfcSK2nx0NAVx2A8NoGgXfXgTBJKI4RAb3sUF/k3bWcgEcdrHiKgTyXDZcdgNH5Cr0zXMxqn8+w/rkxoKXRQQFvPHtpqQyrK9sZP6aSgYUuXHYbBgiKEUkY5ayKlDaDdwOA0NgzY5G/EGTen+Y8uIcRvdv7uFw8oRynv3F/vz8kBH0L/CQ47AxoNDDLw4dwbO/2J+T9u49PwCAT1dsxx8Kpwyab4kcp42Xv9nQYckKNJoexIPAkSLygIg0S+8mIg4ReRA4Anggcb1Go9G0ht7ogtSbyXRq9yos/9s7sSqRR1FYAeZXZVmurGKIUJjjwBsME2q101NqTKV2BoIrS6kwFRBZHkUkqjxYZpFgWGETq2aG0y6AQTBs0r/QnTTzlNtusHhjTVIZXvlmg1VHo9BD/wI31Y1B1lY2YpoKu82IpXuN9kPYVGys8VKS4+S3R++RMnahKMfJGZMGc8akwW3un57CgvXVtCfkx+2wUd0YZHt9gP6F7uwJptH0MJRSn4vIVcB9wHki8g6wNrJ6KHA0UApcpZT6oovE1Gg0vYSoFeDet5cnLaCn6V5kpHQopbzAT0TkNmAKMADYBHyplPqhA+XLCn3yXPTJc7K11tfmfdgkqjxArtOOzTCsQO1g2KrTYQgoCEcL6yXZh4KYCcQep1xErSRJ9A0AwqbJxmovr3yzAbvNoH+Bm32GFOELmby9ZHPMLUhEKM51kuuys3JbA4FIEHk0864Z0Y5qGoP88Yy92bO8sM390Zuo9QbbnWjAEGgIdEzckEbTk1BKPSgi3wDXAqcCUT8HLzAXuEsplXHaGBE5DngIsAF/V0rdlbDehZWyfV9gB3BWJC3v0ViTZE4sF+CrlVLvt+fcNBpN96O3uSD1ZlrlxB5RMDpEyRCRM4CZwBhgslJqfrb2bTOEiUOK+WZdcmtBSxgCYgg5DhveYJh+BW42VFk+hJ7Isqgrk0F0cN8UpVRM6+iT56SyIRiL6Qibinx384xJDf4QW+v8VDUEyHXZeeSDFYhY7lm5ThuThpYQilg04nHaDUb1z6POZ23vDVjyOe0GffPcGIaQ42w5Le6ugstutNv+pQCnrW3uWRpNb0Mp9RHwkYgYQJ/I4h1KqeSp+FIgIjbgESwLyQZgnojMVkotjWt2MVCllBopImcDdwNnYQWqn6SU2hipkP42oEcmGo1G00VkpHSISIsRskqpde2UZTEwA/hbO/eTlA+Xb8MAlNCq6uAxInESNkOoaggQMlWs8J8hVjAxEFE8rCDy6GGix7MZwpCSHEpznTT46wiGTSIGEvrmu5ocbke9P6bYGCKUF3nIiwt09gfDvP7tRmq8QfJc9mbxCIYIhR5H0gxT1Y1BGvytevf3agYUegiF2652WKmKoTCn92Tz0miygVLKBLa2YxeTgRVKqVUAIvIccAoQr3ScgjVhBfAS8GcREaXUgrg2SwCPiLiUUv52yKPRaDSaNpLp1OwaYHULn3ahlPpeKdUhiZVXbK1nc60Pt8NocyC5qRTeoIlNoKoxiMduxArzRfdrxgVvR12xonicNvYaVEhpnhMEygpchE1F0LTqZ+TFpbOtagiwocprxWOI4HLYmigcAC6HjaIcByFTsXJbA6Fk5pUUCFYcgsbiiNFliOx0c2stNd4g+w0vblW6XY1GkxHlwPq47xtobq2ItVFKhYAarLiReE4DvtEKh0aj0XQdmbpX/YzmYQqlwIlYlctvy6ZQ2ebLVTtQynKREgSR5OlsUxEdzxtCTFFoCIStNLkhK/Ws024Fg4fNnYPXqPUhFDYZUOjGH7IqhluZpSxFRGGldou6VpmmYkOVN2I9sRSX4X1yk8rlcVrZqvzBMFtr/QwsajmI2TQVpoIRfZPvc1dkWJ9cRvUvYOW2urYpDko4bZ9B2RdMo9G0GxEZh+VydUyaNr8AfgEwZIhOfa3p/cxaUKGDrzWdTqaB5P9Msep+EXkaGJHJfkRkDtA/yarfK6VezWQfkf206gVR5w+R47RR5w9hpqif0RIOmxW/YSqFhMI47FYK2lBYkeOwYWIpGVErgtNuIxAyUUrhC4bZoyyPWl8IMxJbccTofpwwvj/vfr+VWQsqCJshHDahzhciGDaxGVaa26GlubgdyQ1SDptBgcdObWOQHfV++he4MVqwXdV6QxywWwl98lzpG+5inDN5MDe/usQKvE8V0Z+EmsYgAwrd7D2oqOOE02h2XSqA+BR6gyLLkrXZICJ2oBAroBwRGQT8B7hAKbUy1UGUUv8H/B/ApEmTspfiUKPphsxaUMH1r3wXq+RdUe3l+le+A9CKh6ZDaX01tOY8AzwB3NhSQ6XUUVk4XqtfEKW5TlwOGzsaAm1SOKxgb8tiER2PGpE0uDYDav0hinOc5DhtOO0G9b4QW+t8hE0Vs2p8W1FDrtNOvsfBqfsM5PR9BmEYwm5l+ZwzeQhzlm5m0YYa3vt+K0UeJ/0L3eS4WnaBKst3UesNETYVNb4gxWniCkJhExM4fd/enwa3tRwwopTpE8v5z4INFOc4M1I86nxBnHaD26bvGaurotFosso8YHcRGY6lXJwNnJvQZjZWQcLPgdOB95VSSkSKgDeA65RSn3aeyBpN9+bet5fHFI4o3mCYe99erpUOTYeSDaWjDOjWxQkmDy+hsj5gBW2r5OlsUxFVLpRSBMIKu01wOwyCYUXYNCNxHLCjPkCtTfCHdlYajxbxMAQqG4JUe4MUB0L8de5Klm+u4/rjR2O3GRR6HJy272Bm7DOIL1btoKjYjZFhCtdcl50BhS7WV3lp8IVSKh2BkEmdL8QlhwzXqXKTICJcethugDUL5LQLeS570jomwbBJrTdEocfBXaftxeCS5pXiNRpN+1FKhUTkCqzMUzbgcaXUEhG5FZivlJoN/AN4WkRWAJVYignAFcBI4CYRuSmy7BilVHsC2zWaHs/GJBW80y3XaLJFptmrDk2y2AnsCVwPZJxzPc0xTgX+BPQF3hCRhUqpY9u7X4BV2xpw2AVTGYTN1lWNNhVIpNhfOBI0nuOwsa0+AOxMp2uaCn9I7cxYFflHAJthRGbOVaw6+nvLtlCS6+TyqSObHC9sqlYHu5cVuGkMhPGHTCobArgdBi67ZSXxh8L4giZ2w+BXR47sddXEs4nNEC47fDcmDi7i2XnrWb65FqXAbrMSA4RNS5102gxO23cQp+0zqFnWMY1Gk12UUm8CbyYsuynubx9wRpLtbgdu73ABNR2Ojj/IjEz7aWCRh4okCsbAIk+zZRpNNsnU0jGX5gaC6Nj4Q+CX7RVEKfUfLN/brPPC/PX0L/Cwcls9wM4q4pnKFvkYAnkuG1WNQewGhCNWk3T7U0DINAkFTGyGNWD1h0yqGwLMWrCBM/YdRFmBZSgSETwOG2HTsqi0hjyXgzP3G0T/Ag+zFlawJVIIsV+Bm+kTypk6ui/5OrtSi4gIB47sw4Ej+7B6ewPvL9vKxmov/mCYAo+DCYOLOGT3vnh0nRONRqPpcHT8QWa0pp+uPnZUk7ZgxaxefeyozhNYs0uSqdJxBM3H1T5grVJqc3ZFyj5rdzRgKhO7YcVgBMMqkuK2dfsxFWypDeCyC26HDV+k4reZwY5EhLCp8JphnDYDX8hy0Xlr8WYuPHBYrN0Bu5Xy4Q/bKMl1ZiyXUgrDEA4a2YdxAws5ecLA1p2YJinD++Ry8cHDu1oMjUaj2WXR8QeZ0Zp+in7X1iNNZ5Np9qq5HSxHh7Otzo/NEGyGgd0wCZngD7XO1QoszSsQtmwfbruBqaAxkL7QnoqkvhWxKgEGwiZOu0FDIMRriyqaKB2nThzEhz9sj9X7yITGQJjyIjdjBxS0+nw0Go1Go+mu6PiDzGhtP02fWN5jlQztbtdzyag4oIiERWRyinX7iki3Lm89pCQHb8AEsTR/b9AkGG69whFPIGxa8R6oFl21mqyP6BHBkCJsKjbX+psUpRszIJ/d+uZS4w1lJIdpWkULz5syJGMlRaPRaDSankCqOAMdf9CUXaWfom5kFdVeFDvdyGYtSMykremOZFqRPN1o1kbrQiQ6nVMmlGMqE28gHKvc3dbhuUBscB8ImwTDGZ66VRUQIkHpCkVYKUIJ24sIt5w8jny3nerGYNpdhk1FZWOQE/cawJFj+rX+ZDQajUbT45m1oIKD7nqf4de9wUF3vd+rBmBXHzsKj6NpDJ2OP2jOrtJP6dzINN2ftO5VImKwc3xuRL7H4wGOB7Z3gGxZY8qIYivoO5K+VmEFgbeGZMHiYVMRzHA/pmpuEQmEVKzKeXzgeFmBm0fO3YfrX/mODVVeRKDAY4+l0Y2mvzUEzpo0mIsPHq6tHBqNRrML0tsDrXX8QWbsKv2k3e16NimVDhG5GYimJVRAuuJKj2ZTqGzz5aoqCj0OqhuDrVY2khLZh1I7NbJWuVjF0RgIcfZjX/Dbo/bgwJF9YsvLCtz83wWTWLCuipe+3sDXa6swDKteiNth4+zJQ5g2vj8DCnuX6VSj0Wg0mbMrBFp3dfxBT4kh6Op+6gx0ut+eTTpLx9zI/4KlfPwD2JDQxg8sBV7PumRZQinFc/PWUZrnbNFdKRWGgN1mEAqbkeKCCrvNiGTAskwoIbNtPmZDS3MJhkxufm0Jvzpid07ae2fmKZshTBpWwqRhJfhDYep9Iew2gzyXPaOK2RqNRqPp3eiZ346lt1uSuoJMlbhk7XS6355NSqVDKfUhVg0OREQBjymlNnaWYNmiMRBmU42PTdW+NgeemJF4jPIiD3X+EIGQlX43Gs9hM4SQar3WYQixeg92m/Dw+z9SkuvgoJF9m7V12W248nRtCI1Go9HsRM/8diy7giWpM8lUiUvV7s4Z47lzxvhmygjAQXe93+2tUbs6mabMvSX+u4gUArsDm5VSidaPbkUgZOILhln+0IWEa7c2W+8oHcLASyzvsLpv3qDum9cJ1WzFcOXgHj6R4sN/ii23mLBS9C9wUxw2WbG1npBpAkK+y06DP4hNBFMpWpMTqzSuFofDZpDjtHHfOz8weXgpDlumMf4ajUaj2VXJ9sxvT3El6iy0JSm7ZKrEpWv36XVHZKSggLZGdTfSxXQcC0xVSl2XsPz3WO5W9sj354ELlFKZ5XjtZHJddnbUBxhw4QNg7lQJzKCXTY//LzljDgGgYdknVL73f5QccxmeYRMI1W2n8u1H2P76/fQ76zZAqPUHKc5xMqJPLj9urcftEErznDQEQrgdgjdoImbLKXQFsBvNZ6I8DhvVjUG+Wl3JQXHxHRqNRqPRJCObAcR68NYcbUnKLpkqca1R9rrKGtUbFfSOPqd0lo5LSSwxIXI0cBvwHfB3YAzwP8DXwH1ZkyqLGALeQBhbTmGT5Y0Lv0SZIfL2PhYA/4alOPsOIz/y3V7Yj7wJx1Pz8TORLRTbav0U5zhx2g0GFXs4ckw/Pl+5HUMsVyunTfAlpOSN70Ar3S7YDSHP7Yi5ViXK+8L89R2udHgDYXzBMIZhWWsMHSOi0Wg0PZJsBRBrV6Lm6BiC7JKpEtcaZa8rrFHtUdC7q7LSGZMO6ZSOiVgKRjw/BXzAsUqpzRCrWXEu3VTpWLqpNqnLU/2i/+IZORl7XgkArkFjqV/0Nr513+IaPB6zoZrG5Z/i2W0/AJRpPXwrGwIoBdccO4pj9xyAPxRm7vJt3P3WMhDF5hofSllpcEOmis83jCOSFtdmGAwtzUkqb77bztKNtXgD4aRKSVvxh8J8tnIHc5dt5fvNdVQ1BDDEKm3osBns1jePKSNKOHpsP8ry3Vk7rkaj0Wh6Bu0ZvHXXgVR7aa0lqaV+6K39lCmZKnFTR/flX1+sazJxm0rZ6wprVCoF/crnF3Lv28vTBsd3V2tiZ0w6pFM6yoCVCcuOBj6JKhwR3gB+khVpOoDHP1ndbJl/048ENq+g7JCdYueOPhjT38jWF29BmSEww3h224/S438NgBLLO8thM/h/J45l/xGlgBXgfey4/gzvk8t1L3/LhkovDpvgiBTpUUpBNN7DtALGd+ubh8uePGZDRLAZQp0/mBWlIxQ2eWVBBc98sRZf0MRmWD/cklxHrLZH2FSs2l7Pss21PPXZGg7crQ+XTR1J33xXu4+v0Wg0mp5BWwdv3XkglW6Qn6kCkKklqaV+6M791BbaokBlosTNWlDBy19XNPMUOW3f5NehK6xR6RTxdNe1O1sTO8NilE7pqANyo19EZHegFPgioV0tVlXybskHy7Y2K+xXv/At7IX9cA/fJ7bMt34x1R89RfHUn+IaNI5w3Q6q5j7O9rcepO9JV2M3hAFFbq4/fnRM4Yhnj375PHHRZI576CPqfMFY5XMAlLK2L3ZTnOPIKN2tkYVif+srG7njze9ZubWefLedklxH0nY2Q8hz2cFlpQD+bOV25q+t5NdH7sFRY3Wlc41Go9kVaOvgLVsDqfhBbKHHgQhUNwbbbBFIN8gHsq4AtNQP3XnA2Vrao0C1pMQl6ycFfLBsW8r9RbdrrQVp1oIKZs5eQrXXKqlQnOPg5pPGtbhtUY6DqjRlGFJd1+6cmKAzLEbplI5lwClYlgwifyvgnYR2w4EtWZMoy/hCJnYDghEfK9PfSMP3H1F44FlNqnhXf/Q0OXscQP4+J1oLyoYjTjdb/n0dwYPPo2zIcNwOG0U5ziRHsSjMcTCoOIdg2MRUilAkpa7dJuRkaLWwLCLKUgLawYqtdVz14iL8QbOJVaMlDBGKc534g2Hu/u8yttT6OG//oe2SRaPRaDTdn+gAKX4Q5na0nEkxGwOpxEFs9PjQXFnIdHCZbpAf/Ttx3czZS9qsALTUD915wNlaOlKBaks/tSWuadaCCq5+cRHBuEniqsYgV7+0KLbPVNvV+1rOnVRR7WX4dW80uU+7c2KCzrAYpRvZPgC8IiIlWErFRVgB5ImVyacBi7ImUZYRwGE3CAVMFNCw5ANUOETe+KOatFNBH0jCw1UiioJS9Mlz4nHaGd0/P+3xjhpTxsvfVKS0KrREnTfEPkOLcTvabjzaVOPldy9+SyhsUpTTNjlcDhs2Q3jiszUUeBxNihZqNBqNpmPoDj7//tDOSMiqxmCLM9jZGEglG8TGE1UI/CGzyez6lc8v5JbXliSdnU41SE0ma5Rqb5BZCyoyniWPv1apZr+j/ZDNAWf02BXVXmwihCO1xDrrfulIBSpdP2Xz93Hv28ubKBxRgmGVVnlKtV0yFE2V5u6cmCCbmfBSka444CwRuRK4CijBcqu6VCkV62kR6Q8cBdyQNYmyTL7bQZ0viNMu+EOKuoVvkbP7/thyi5u08+y+P7VfvIRrwB64Bo8jXLedqvcew9F3GK7SgYRMxWn7lGNvoX7GCXsN4OVvNqCUyti6EI+p4LR9B7V6u9j2puLut5bhDYYoTmOVyQS7zaDAbefRuSuYMLiIwSXJg981Go1G0366g89/W2aw0w2kMh0kZjJYjbd+xJNKMUo1eAWauV3HE3+uifJPHd2XD5Zto6La22QfFdVeHIaVMCZaOBiaDiizNeBMvE/CkWFZZ94vqfrWEGk2u99aUvXT1NF9My4s2N57rq3rUhFfYwQ6dmDfHrKVCS8VaX14lFIPAw+nWb8Z6NYFJU7dZyBPfLIaQwR/xTKC29ZQfMQlzdoVHnAmYtio+eIFwu9sw3Dn4RoynuLDLqSswE2Bx8Hxew5o8XiDinPYa1AR322oobiV1o4Gf4iiHAf7DCluuXEK/rtkM0s21rbZ0pKI027QGAhzz9vLefjsCW1SpDQajUaTnlkLKrjqhUWxAWSUzvb5b6trCzQfSEHmcRPpFIRMSNZPyTIgRUk3Tx0912RK4DNfrEu5j6CpKPI4yHXZkw4oszWTnM4q1FH3SzLl6+WvK5rJkQ0FKFU/ZaIQt0ZxT3fPpbM+pdouWiQ61b0Vva86emDfnWlf4EAP4OcHj+Afn6wmFFZ4ykcz9NrXk7YTw0bhAWdSeMCZTZY7bEK/fDd3n7YXxbmZWQ6uPGp3Lv/XN9T7QxnHZviDYQJhxe3TxmQUaJ4M01Q888Vacpy2rCoHhR47P2yuZfmWOkb3L8jafjUajWZXIdXsa2IgazI60+e/rS5AyQZSB931fsZWk2Sz2/F4HDbcDiNt8G58PyXLgJQp0XNtyeUrGTXeIAtvPibl+mwMOFu6H9Ktb4t7UrKB/MtfV3DavuV8sGwbG6u9GBEXr3i8wTBXvZA+PiIVyfrpN88vTNo2/nxbY6m7+thRzWI6wBr3pbM+pbLE3DljPNMnlnPQXe9nPW6jO7hdZoNer3R8snIHBW7Lz1IEDCwXppawCRiGcPDIPtw2fU8GFWfuWjSoOIe7T9+La1/6luqGIIU59pRKgFKKen+IsAn/74Qx7D24KOPjJLJoQzU76gOttrC0hIiglHXTX3e8Vjo0Go2mNaSafZ2/tjLpbHEiiYOVjhyAtMYFqKV0tKlmkZMNihNnt5NlrwLSKibx/ZSJwlDkcTSJEUk817Yoex0ZEBzt75aGMKlkaKv7XqqB/AfLtsXchYZf90ayTQkrlTWXr0wU4tZY6pIlTsgke1VLFqtsuNElZnJrCIRibnuZXLfuqqT0aqUjGDZ5+vM1DCvNwe3ws7nWByq9L2cUh0245OARXHn0Hi3GcSRjdP8C/nzuPtz/7g8s2VgDQJ7LHisQGDYVtb4QgqWk/OboPdizvDDNHltm3ppKTNWWeZ2WyffY+WzljjbHqmg0Gs2uSqpB27Nfrm82O5xI4mAl04FjWwcdmboAZZKONhUKywqSuN9MrQDJLEOJ/dSSwuBx2Jh58jgg9bm21uWrIwOCE/u7LTK0NeNUJgP5dClk2+vyFR80nzh+Szzf1lrqMrnnUv2WUm3XXje6dJncoqTr0+4QG5aKXq10fLW6kgZ/iOJcJ0NLcyjKcVBR5aXeHwLVXPGQyD8GoJTwzveb+WJ1JafvO4hjx/XP2L0qyuCSHB44awLrdjTy+rcbeXfpFiobgigiQVGjypg+sZzR/fOzMpD/dkNNRukN24LDZlDvC7Ktzk9Zga5YrtFoNJmSauDaksIhWClrfxNX5Tjbfu3JyGQg1tp0tIm0dSAUlS2du1pL1oDELE+tCZBPJDoItok0Of9sD+7SWW4MsTw4kmWviu+nlmINUpEuaHzWggqAFlPIttVFMPFeVuzs82Tnm+3sUG39LbXHjS5Tt75UfZrpM6IrLCG9Wul449uNGHHxEYUeB4UeB8GQSZ0/RK03RGVjAMH68RgRlyrBquTttNkImSaPf7qaZ+et547pe7bJGjGkNIfLpo7ksqkjUUqhFE3kyhbrKxtTVjrPBjZDqKj2aqVDo9FoUpDoFhEIpR482JL4wUdxGAJCbPY4OthJNRiJH4Dc8tqSDi1C15LrVKb29vbIlGxQ15I1IN7vPhnJBmJ3zhifMntV9PoJHZ9BKp3FxWVPfl6ZWkdacglLpXxFXafcDqPFFLLpjpFuAJyqUGB5kSfm2hVPttO+dnRBx2TnnqmClqpPW7JMdaUlpFcrHVtq/TiTDMIddgPlswK+nDaD5ON/IWSa5LmduB02Gvwhrn5pEfectjfjB7XdDUpE6CjvpGDYxGnv2EsanwpQo9FoNDvJxC0iigDnTBmcNKajOFJfKdFdxRsMp1RUogOQWQsqUrq5JAZat7WCczrXqUKPgxpvMGPFo6Lay8Rb34n50bdGrsS2jYFQygF2SzUsbpz1XZNMV9GB2J0zxjcb3CabfY8n2xmkZi2oSOsWnux4qbKhJZKJFSC631TZ1drj8pWs3+Nrr2SrUGBb7/eOrEeSbPD/m+cXZvTbEazsbMlIZZmKujUm+510Vpa8Xq10mFgzEIk0+MNsqPJiMySFwmFdnPgLn+uy0+APceOs73jswkmU5Xe/2X67zcAqo9IxWo1CxWJSNBqNRtOU1mQ7UsDt08czaWhJ0sFQusBcj8OWsiZGNFtQqmMedNf7zdKdtmamM905ehw2RFqOmUwkWgU6MbA+XSXyZOeQCgE+ve4IZi2o4KC73k/qkpUstW6qgVgm17m1g9KWZvtb6tP4WeyWsqGB1SetVepaUmCSURRJCBDvIhjv4pMqpXG09kqqWJFCT/KEOYmWRolYCxNrqmQaiJ3qjDNJGNBSAcdUVpxkGICZ0O5fX6zjmS/WNVOo07kFpvuddEaWvF6tdJTmOtla62tW3XtLrc/KZJVm/CwC9oQGuS47OxoCvPHtJn560PCOELldlBd52FDV2KbA90wwFQwo7LjMHBqNRtOTac1LuzwyaEnl+50uiNkbDDcZRLkdRmzA3tLAMLHWRPw+r3phEb95fmGTbFGtcf24c8b4lGlNWyIYVinlSlaJPNVgNRnRStapXErSDS6TnW8m1zmT6tmpAqSjM97z11Zy+/TxGR3PEGHYdW9klCinyONolta3pTocyYK40+Fx2Dht3/Jm+/jN8wu58vmFlEcsU+n25w2GcdkNHIY0c99qCISaVY5PZ2lMplBemaAIpQtYTzy3VJabVPtI5n6X6fMi2leJyleiEjV/bSWvL9rUosKZEqHdhR1bPITqoGxHrUVE7gVOAgLASuCnSqnqlrabNGmSmj9/ftJ17y7dzB/fXt4kADwQMvl+Ux12m6S0B0SLu4wbWICR4AsVCJmETcULlx6Ay25LvoMu4i9zV/LKNxsozWtfJfJkhMIm/pDJ7CsO1tmrNJpehIh8rZSa1NVypEJEjgMeAmzA35VSdyWsdwFPAfsCO4CzlFJrIuuuBy4GwsCvlFJvt3S8dO+UlkiVnz8dyYKAM52t7kiiMSWtcakt8jio9QUzSkvfWQhw3v5DYnEYiZQXeVqMQ4mmUQViA8qWcBgQNJsui8aUQPIMXKmOna42SVtw2IR7T98bIKNBdmuxiXDfmXtn3FctkaoPEgsxJhuYZ0IyBSkV6dz0Mo2hicoetcKkQ4DVd53A8OveyNr1yYSW4p/Ske6d0p2UjmOA95VSIRG5G0ApdW1L26V7QfiCYU7/62eWphyZ/d9U42NrrT+tm1AwrCjLdzIghfmsqiHIDSeM4bA9kvvTdRXz1lRy46zFMX/gbFLVEOSgkaXcFHnwajSa3kF3VjpExAb8ABwNbADmAecopZbGtbkM2EspdamInA2cqpQ6S0TGAs8Ck4GBwBxgD6VU2hFBW5SO+NnN9tCawY8mcxLd0eKJuhm1dO0MsZKpZCOuMRsD/PisWW1xexLAbsvO+STb9wNnTeDKNlq9EvfVGaNUEcikG4tzHE1qxyRaSFpDdMIhHdlW4FpDqmD9lkj3Tum4VEetRCn1jlIqmnPtC2BQe/fpdtg4beIgarwhospVgz+U1q0qbCoMgdI8V8o2pjJZsbW+veJlnX2GFFPoduDL8ssq2ncz9mn3JdFoNJrWMBlYoZRapZQKAM8BpyS0OQV4MvL3S8CRYpljTwGeU0r5lVKrgRWR/WWV6OxmqgFBrtOGYL3AW5oQitbu6E0Kh02kQybCIPPoxWgAfjKig0ePI73ngqlSW30yubbxtHcQXZzj4IGzJrDmrhPaXJtL0XGJYQo9jrTJBlpDVLHqaDLtxqpGK0lC1KXpxlnfpf39pyMTi2A0Q9jU0X1bvEezTUfEeHQbpSOBnwFvZWNHPzlgKFOGl1DZEMRUirCpUj6pwqbCVIqhpTlJs15FMQyhpjGQDfGyis0QzpkymAZ/mGxasGq9IYaW5jBuoK5GrtFoOpVyYH3c9w2RZUnbRCauaoDSDLdtNy0FFRflOFl91wl8et0RVGfg+tGWWevujKkUN580rlUDpkwGmR6HjfP2H5LxgDQagJ+4j+hs9Z0zxsfibFpDNEg9k2ubLXKc9iYFDLsT0WQC2VSck1277kBnTRJEq79HXfM6i464tzpV6RCROSKyOMnnlLg2vwdCwL/S7OcXIjJfROZv27Yt7THtNoObTxrH0WP7Ud0YJBg2UXHqpYooIlGNf0TfXApSZEXYuQ14nN3vBwBw0l4DGVmWR403faGeTAmGTUwF1x0/WsdyaDSaXkn8O2X15koeePcHAKb+cS6rttXz3YYaTvzTxwDc/vpSHvtoFQCT75jT4gxnRbWXOUu3cPE/57X7Jd6aJ3BZviutVT/bx0vFwCIPry3ayHlThjCg0Mr6WF7k4cxJgzhgRGnSweR9Z+6ddp/lRR4O3aMPpbmujGf6+xe4+dnBw3DaDATIcdo4ae8BTJ9Yzrib/stRY/txy8njcLey1lX/Qjfjbvpvpw7+N1Z7mXzHHLbU+pg+cWCz6xz9OqDQzeGj+rT7PkikwG0nEvKD227gslt96rAJlx2+W9ZjUIo8Du6cMT52XiW5TivmKEXbqNXJ00HFkuPprEmCimov7y/b2ibFuK2cvd/glM+9LbU+Pl+5g7P+9jkA17/yLf/+snkiiES6TUwHgIhcBPwPcKRSqjGTbVrjf7t6ewNXv7iQ7ypqsUVuWKUUTrtBWb6LohxnbHk6KhsCXHb4bkyf2D3djdbtaOTyf38DKHJdbU9QFjYV1Y1BLj54OGdPHpI9ATUaTbehm8d0HADMVEodG/l+PYBS6s64Nm9H2nwuInZgM9AXuC6+bXy7dMdsbUxHS8Hj8X7RsxZUcPWLi1IWUksV0xEfgJxYeLAxIVo5PgC0NYGt8USDrycNLWlXQHsmwaipMjyl6tdEP/NMgvdbExSb6holi+nIRl+3hcQ+yCRLViY1OzIhk75sS0KFlu79TAofJmvbmniLosiEc2vu93QxNdGgc6CZrMkSNaSLX4le89bcZzkOA5fDRnVjEKMVsT/R3//t09tmWUn3Tuk2KXMjGUquAQ7LVOFoLcP75HLjieO4+sVF5Lqs2RWbIdgNyXgW3zQVIsLBu3evIPJ4hpTmcOeM8Vz78rfUeoMtWm6SEQiZ1PpCnL7vIM7ab3AHSKnRaDQtMg/YXUSGAxXA2cC5CW1mAxcCnwOnYyUkUSIyG/i3iNyPFUi+O/BVtgVMlxM/MbVmdDAUP5BPlr0qVe2O+H1ESTfgTKzOHK1bUN0YpNDjoCEQaubXH83UFL+PxGxa8TJHK3Qn7j/TtJupUgYn69dkqUqTtXMYQp7b3io54uWBptcoMXtVNvo6OsAsSuizxFS1iSTrg1R9mHhOLfVTqmPnOm00BsIZ92WyaxI93/iBeLK+THfvJzunltpG+yaTavUzT25aoDKT1LmtUZQSZU21LN19n+w+S7y3UilfyZRph004a7/Bsd9wR6bLhW5k6RCRFYALK+UhwBdKqUtb2q61s1JKKc77+5c0+ENtcpGqbgiy/26lzDy5+2dxWrG1nltfW8KmGh+FHntG9TuUUtR4Qxgi/PzQ4UyfUK7dqjSaXkx3tnQAiMg04EGslLmPK6XuEJFbgflKqdki4gaeBiYClcDZSqlVkW1/jxUjGAKuVEq1GCvY3uxVyYqAdVfaWqW5s8hUvu5+HtA6GZMVuGuLAtUWGbLVl93xmrSlXzPZJtvn2tr9teZ3kkyZzvZ16REpc9tKW14Qry3ayENzfqA0z9mqAXXIVNR6g9x/5gT2LC9srahdgj8U5unP1/LKNxWETBOnzcDttDUpfGgqhT+4s/DS+PJCrjxqDwaX5HSV2BqNppPo7kpHZ9OeOh0ajUazq9Mj3Ks6k2njBzBvTSWfrdxBaa4jI8UjbCqqG4Kcv/+QHqNwALjsNi45ZARnTx7C3GVbmfP9Fn7cWk8okhoYRWxWbvLwEk4YP5AhpVrZ0Gg0Go1Go9Fkj11S6bAZwg3TxnD7G9/zxaod5LlsuFOkY1NK0RgI4wuanDlpEBceOKxzhc0SeS47J+49kBP3HohSiu31AXzBMHabUJLr7HbV1TUajUaj0Wg0vYddUukAq3DgzJPG8p8FFbwwfz1VDQEMQ3DZDQwRTKXwBsxI4JObCw8YxuGjy7pa7KwgIvTNT138UKPRaDQajUajySa7rNIBVg2PMyYN5tSJ5Xy9topXF25kQ3Uj/qBJjtPG5GF5nDKxnLEDCnQwtUaj0Wg0Go1G00Z2aaUjit1mMGVEKVNGlHa1KBqNRqPRaDQaTa+jx2evEpFtwNqulqOV9AG2d7UQncyuds672vnCrnfOveV8hyqlum/hoU6mne+U7nxPdFfZuqtc0H1l665yQfeVrbvKBd1XtrbKlfKd0uOVjp6IiMzf1VJU7mrnvKudL+x657yrna+mZbrzPdFdZeuuckH3la27ygXdV7buKhd0X9k6Qq6Wq8VpNBqNRqPRaDQaTTvQSodGo9FoNBqNRqPpULTS0TX8X1cL0AXsaue8q50v7HrnvKudr6ZluvM90V1l665yQfeVrbvKBd1Xtu4qF3Rf2bIul47p0Gg0Go1Go9FoNB2KtnRoNBqNRqPRaDSaDkUrHVlGRI4TkeUiskJErkuy3iUiz0fWfykiwyLLS0XkAxGpF5E/d7rgbaQd53u0iHwtIt9F/j+i04VvI+0458kisjDyWSQip3a68G2grecbt35I5L7+XacJ3U7acY2HiYg37jr/tdOF13QJLd0znSjH4Mi7ZKmILBGRX0eWzxSRirh7c1oXybcm8txfKCLzI8tKRORdEfkx8n9xJ8s0Kq5fFopIrYhc2VV9JiKPi8hWEVkctyxpH4nFw5H77lsR2aeT5bpXRJZFjv0fESmKLO/UZ2EK2VJePxG5PtJny0Xk2E6W6/k4mdaIyMLI8s7us1TPio6715RS+pOlD2ADVgIjACewCBib0OYy4K+Rv88Gno/8nQscDFwK/Lmrz6UTznciMDDy955ARVefTyeccw5gj/w9ANga/d5dP+0537j1LwEvAr/r6vPphGs8DFjc1eegP93vnulEWQYA+0T+zgd+AMYCM7vDbxBYA/RJWHYPcF3k7+uAu7v4Wm4GhnZVnwGHAvvEP0tS9REwDXgLEGB/4MtOluuYuPfa3XFydeqzMIVsSa9f5PewCHABwyO/XVtnyZWw/j7gpi7qs1TPig6717SlI7tMBlYopVYppQLAc8ApCW1OAZ6M/P0ScKSIiFKqQSn1CeDrPHHbTXvOd4FSamNk+RLAIyKuTpG6fbTnnBuVUqHIcjfQEwKq2ny+ACIyHViNdY17Cu06Z80uSSb3TKeglNqklPom8ncd8D1Q3hWytIL439OTwPSuE4UjgZVKqS4rOqyU+gioTFicqo9OAZ5SFl8ARSIyoLPkUkq9E/de+wIY1BHHbokUfZaKU4DnlFJ+pdRqYAXWb7hT5Yq8M84Enu2IY7dEmmdFh91rWunILuXA+rjvG2j+sI+1ifxQa4DSTpEu+2TrfE8DvlFK+TtIzmzSrnMWkSkisgT4Drg07mHdXWnz+YpIHnAtcEsnyJlN2ntfDxeRBSLyoYgc0tHCaroFmdwznY5Ybn8TgS8ji66IuEU83tkuTHEo4B2x3Gp/EVnWTym1KfL3ZqBf14gGWJbL+EFgd+gzSN1H3ene+xnWTHiU7vAsTHb9ukufHQJsUUr9GLesS/os4VnRYfeaVjo0XYqIjMMyyf5PV8vSGSilvlRKjQP2A64XEXdXy9SBzAQeUErVd7UgncgmYIhSaiLwW+DfIlLQxTJpdkEiSv/LwJVKqVrgL8BuwASs+/S+LhLtYKXUPsDxwOUicmj8SmX5cXSJFVhEnMDJWO6g0H36rAld2UepEJHfAyHgX5FF3eFZ2C2vXxzn0FTB7ZI+S/KsiJHte00rHdmlAhgc931QZFnSNiJiBwqBHZ0iXfZp1/mKyCDgP8AFSqmVHS5tdsjKNVZKfQ/UY8WzdGfac75TgHtEZA1wJXCDiFzRwfJmgzafc8RcvwNAKfU1lq/wHh0usaaryeSe6TRExIE1iPiXUuoVAKXUFqVUWCllAo/RQe4kLaGUqoj8vxXr+T8Z2BJ104j8v7UrZMNShL5RSm2JyNgt+ixCqj7q8ntPRC4CTgTOiwxS6Q7PwjTXrzv0mR2YATwfXdYVfZbsWUEH3mta6cgu84DdRWR4ZMbkbGB2QpvZwIWRv08H3o/+SHsgbT5fsTJcvIEVrPRpZwmcBdpzzsMjDxpEZCgwGiuosjvT5vNVSh2ilBqmlBoGPAj8QSnVEzKzteca9xURG4CIjAB2B1Z1ktyariOTe6ZTiPiJ/wP4Xil1f9zyeN/rU4HFidt2gmy5IpIf/RsrCHkxTX9PFwKvdrZsEZrMPHeHPosjVR/NBi6IZBbaH6iJc43pcETkOOAa4GSlVGPc8i5/Fqa5frOBs8XKQjg8IttXnSkbcBSwTCm1Ibqgs/ss1bOCjrzX0kWZ60+bsgFMw8oAsBL4fWTZrVg/SLACiF/EClz6ChgRt+0arICjeixfuS7JftIZ5wvcCDQAC+M+ZV19Ph18zj/BCqheCHwDTO/qc+nI803Yx0y6QeacTrjGpyVc45O6+lz0p+vumS6S42Asd4hv456t04CnsWLJvsUaPAzoAtlGYGUNWhT5nUR/W6XAe8CPwBygpAtky8Wy0BbGLeuSPsNSfDYBQayxwMWp+ggrk9AjkfvuO2BSJ8u1AsvPP3qvRbP6deqzMIVsKa8f8PtIny0Hju9MuSLL/4kV1xnftrP7LNWzosPuNV2RXKPRaDQajUaj0XQo2r1Ko9FoNBqNRqPRdCha6dBoNBqNRqPRaDQdilY6NBqNRqPRaDQaTYeilQ6NRqPRaDQajUbToWilQ6PRaDQajUaj0XQoWunQ9ChE5CIRUSIyMsk6e2TdzBb2MSzS7pIOE1Sj0Wg03RoROUZE3hKRHSLiE5EfRORuESlOaKdE5PaukrOjEJHpIvLbJMsPj5zz4Z0vlaY3o5UOjUaj0Wg0uxQicgPwNuADLgGOBf4KXATME5HBqbfuNUwHmikdWDUiDoj8r9FkDXtXC6DRaFIjIi6llL+r5dBoNJregohMBW4HHlRK/SZu1Yci8h/ga+ApYGpXyJeMznwXKKVqgS8641iaXQtt6dBoUiAih4nIeyJSJyINIvK2iOwZt/4REdkiIvaE7VwiUiUiD8Ut6ysifxWRChHxi8gyEflFwnZR17FDReRFEakGvoys209EXhKRDSLiFZHlIvIHEfEk7MMmIreLyCYRaRSR90VkdDK3MxHZW0RmR2T1isinInJI1jpQo9FouifXAJXA9YkrlFKrgbuAw0VkStwqEZHfxz2DPxKRCTRtcKyIfCYiNSJSH3lO35TQpsXnroj8M3KcAyL78wL3iMgbItLM+iAiA0QkJCK/iXzvKyJ/i7iLNYrIehH5t4iUxx8DuBAoj7wflIisiaxr5l4lFr+JnFMg8o75s4gUJMiiIu+gX4nI6sj780MRGZfyamh2GbTSoemp2MSK4Yh9AFu2di4iJwDvAfXA+cC5QD7wcZzZ/WmgDDgmYfMTgSKsmTIiD+VPgGnATOAE4DXgLyLyv0kO/y9gNXA6cF1k2RBgIXApcBzwEPAz4ImEbW8Bbogc+xTgHWB2kvPbB/gMKAF+DpwG7ADmiMi+yXtFo9FoejaRd8VhwLtKKV+KZtFn5hFxyy7AeoZfgeWC1Q94T0RKIvsdEdluNXAWcDJwP5Abd+zWPHcLgeeAZ4HjgX9jvXMmisjYhLbnRv7/d+T/Eiy3seux3hdXA7sDn4qIO9LmNuBNYBuWK9UBwKkp+gPgjsj5vAucBNwT6Yc3RCRxLHk+1nvu18BPsd5fryZO0Gl2QZRS+qM/PeaD9ZBTLXxmtrCPYZF2l6RpswJ4L2FZAbAdyyQfXfYD8GxCu1nA0rjv/w/rBbB7QrvHIvuzJ5zbAy3IL1iukecDJlAaWV6MpSQ9mtD+t4n9gqVQfQ8445bZIstmdfV11h/90R/96YgPlrKggDvTtHFH2jwa+a4iz+rcuDbDgCBwW+T76ZF2BWn2m9FzF/hnZF+nJGzvAWoSZceakHozzXFtwODIPk9NOM6GJO0Pj7Q9PPK9BPAD/0xod36k3clxyxTwI+CIWxbtmwO7+vrrT9d+tKVD01M5Fdgv4bN/NnYsIrsDuwH/SrCkNAKfA4fGNX8aOEVE8iPblmLNhj0d1+Y4LDep1Qn7exsoBRJnrf6TRKYCsbKqrMR6+AcjxxCsGSyA8Vizai8mbP5Swr48WDN9LwJmnDwCzEk4P41Go9FYg/qG6Bel1BqsuIcDIosWYj2XnxOR00WkLH7jNjx3g8Dr8QuUUl6s5/l5IiKR/Y4H9qbpOwcR+aWILBKReiAErIusGtX6U2d/wAk8k7D8uci+D0tY/q5SKhj3/bvI/0PacGxNL0IrHZqeymKl1Pz4D1bwXzaIviz+gfXgj/+ciKUoRHkGa1bs9Mj3s7CsEPEP5zKsF0rivqLKQfz+ADYlkekJLNeqh4GjsZSsyyProubyAZH/tyZsuyXhewnWzNf/SyLTFUBxEnO5RqPR9AZ2YFmeh6VpE123Pm5Z4nM0uqwcQCm1AisDloGlAGwWkS9EJDogb+1zd5tSKpzkmE9jWS0Oj3z/CVCHZWEHIOK2+yiWMjMDmMzOSbno+6I1lET+b/JuUkqFsPqzJKF9ZcL3aAB8W46t6UVo/zqNpjk7Iv9fj/XQTiQQ/UMptVpEPsUyMz8R+X+uUir+ZbUDSxH4dYrjLU/4ruK/RHxwT8Fyj4oPTh+fsF30hVAGLIlb3i+hXTWWW9YjROJOElFKmSlk1Wg0mh6LUiokIh8CR4uIWyWP6zg58v/7ccsSn6PRZRVx+/4A+EBEXMBBwK1YMQ/DaP1zVyVrA3yIZbU4P3Ie5wIvRawgUc7Gcg++KrpARIan2F8mRJWI/sS9WyKWmlKaKxkaTVK00qHRNGc5sAYYp5S6K4P2TwF/jWT6OAArwDue/wL/C6xTSiVaITLBhTVDFkxYflHC9++ABuAM4IO45WfEN1JKNYjIx1gm+W+0gqHRaHYx/ogVEP0HEupURAbn1wIfKaW+jFs1TURyoy5WEUVif6xMV01QVmrb90UkD3gVGK6UmpeN565SSonIM1jWkf9gWVqeTmiWA9QmLPtpkt35seJEWuILrMm2s7HiUqJELftzM9iHRqOVDs0uzb5ipaVNZDaW69KrIuIEXsAKIuwHHIilPNwf1/5F4E9YLlVRn9t4HsB6OH8sIg9gKTW5wGjgEKXUKemEVErViMgXwFUisikiy8+ImPXj2lWJyIPADSJSh2Wl2Qe4ONIk/iX3W+Aj4G0R+QeWlaRPpL1NKXUdGo1G0wtRSs0RkZuBWyLKw1NAFdbz7zqsYO2fJGzmBd4RkXuxJoJuwRrYPwAgIpdiudG+ieWW1QfLWr4RWBzZR7aeu09jZSn8K5bVY27C+v8C14pVAPErrCxcp9OcpUCJiPwSmA/4lFLfJTZSSlWKyH3A9SLSEDnHMVi1Tj4B3shQbs0ujlY6NLsyl0Y+ifRVSr0pIocCvwf+jjUbtBlrxuf5+MZKqWoReQ3rof6sUqouYX2NiBwI3IQ1g1aOZWpfDrycoaznAH/BMs17sRShX5MQaAjcjBWYeDHwK6wA9ouAT7FepFGZvhGR/SLtH8ZKz7gNqwLtXzOUSaPRaHokSqlbReQr4DdYrrE5WAP4p7CyQyW6DD2FZUn+M5aiMA84O67dIqzUtndiubhWYg3Iz4u6PmXruauUWiYi84FJEVkTXbFuxUrb/husOIoPseJNViW0+zuWteYPkfZrSR3r8vuIrJcCl2G5DT8FXK+t5ZpMkeb3qkaj6U2IyOlY1phDlVIfd7U8Go1Go9Fodj200qHR9CLEqqB7ApaFwwfsi+UusBwrR7r+wWs0Go1Go+l0tHuVRtO7qMfyK74cq5jhVixXrOu1wqHRaDQajaar0JYOjUaj0Wg0Go1G06HoAmAajUaj0Wg0Go2mQ9FKh0aj0Wg0Go1Go+lQtNKh0Wg0Go1Go9FoOhStdGg0Go1Go9FoNJoORSsdGo1Go9FoNBqNpkPRSodGo9FoNBqNRqPpUP4/5XVcW/CfusMAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ - "<Figure size 957.6x295.2 with 2 Axes>" + "<Figure size 1330x410 with 2 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3738,7 +3891,10 @@ { "cell_type": "markdown", "id": "91d44448", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Leverage and Cook's distance" ] @@ -3746,16 +3902,20 @@ { "cell_type": "markdown", "id": "37a8f174", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Let us consider a smaller data sample:" ] }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 64, "id": "bc655fc0", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "np.random.seed(237598)\n", @@ -3765,20 +3925,20 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 65, "id": "b5b46df6", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3790,20 +3950,20 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 66, "id": "a0b5ffc9", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3813,9 +3973,11 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 67, "id": "7bb8d264", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "X = np.stack((np.ones_like(x), x), axis=1)\n", @@ -3825,20 +3987,20 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 68, "id": "1ddf4e63", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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HtW/fHkeOHMHbb7+Ntm3b4siRI1i9ejV2794NHx8fPPvss/jhhx+8FufEiRNx6NAhPPTQQ5DJZFizZg02btwIq9WKJ554Avfee2+9xlddISEh2LFjB+bNm4eEhASsX78ea9euRWhoKP79739j//79iI+PL3Pcq6++iueeew6BgYH48ccf8fnnn+Pzzz+vcF4fIiKim9WiRYuwZMkSdOnSBbt27cK6desQGRmJjRs3YsyYMRUeN2DAABw/fhwvv/wyYmJisHfvXqxevRqHDh1CeHg4Zs+e7epNm5OTgwkTJsDhcODDDz9Eu3bt3OqKi4vD0qVLIQgCpkyZUuFcNLVt5MiROHDgACZNmoTi4mJ899132L9/P/r3749vv/3WNSTpWiqVCr/99htGjx6N1NRUfPXVV/j8888rHK5OdDMQpL/2ySciIiIiIiIiIq9jTxgiIiIiIiIiojrAJAwRERERERERUR1gEoaIiIiIiIiIqA4wCUNEREREREREVAeYhCEiIiIiIiIiqgNMwhARERER1bItW7ZAEIRyX7t27arv8IiIqI4o6juAhkoURaSnp8PPzw+CINR3OERERA2SJEkoKipCVFQUZDL+NlRXeB9T94xGIwDg0UcfRdeuXd32hYeHw2Aw1EdYRERUQ9W9lxEkSZLqIK5GJzU1FbGxsfUdBhERUaOQkpKCmJiY+g7jpsH7GCIiIu+q6r0Me8J4yM/PD4Czof39/cstY7I68J8Np7HlTA58VHIEaJVe+bXJ5hCRbbDAT6vAU0NbYUDLJjWuk4iIqD4YDAbExsa6vlepblTlPoa8648//sDIkSOxbNkyDBkyBFqtFgoFb8WJiBq66t7L8C+/h0qTKf7+/uXevFjsDszfdBJ/XC5BWEggdCrvNbUSQFMfX2TqLVj4RxoC/P3Rn4kYIiJqwDgkpm5d7z6GvM/HxwcA8MQTT6C4uBhyuRz9+/fH/Pnz0b1793qOjoiIaqqq9zJMwtSSz/64iM2nsxHiq/RqAqaUIAiICFAjQ2/BW7+eQmSABi3C+CsiERER0Y1IpVJh7NixuOOOOxAaGooTJ07gnXfeQf/+/bFjxw506dKlvkMkIqI6wDlhPGQwGBAQEAC9Xl/mF6T9l/Px/PdHoZABgTpVrcYhSRJSC0zoEheE9+7tDJWCkxoSEVHDUdn3KdUetvuN4dy5c+jUqRMGDBiApKSk+g6HiIg8UN3vVD6xe1mxxY6Fm87BbHMgQKus9fMJgoAmfmocSinE6v0ptX4+IiIiIvKOFi1a4K677sLmzZvhcDjqOxwiIqoDTMJ42bojGTiXXYxwf3WdjW/XKOVQK2T4Zk8y8o3WOjknEREREdVcbGwsrFarawlrIiJq3Bp8EmbevHno0aMH/Pz8EBYWhjFjxuD06dPXPW716tVo06YNNBoNOnbsiHXr1tU4FrtDxJoj6ZDLBCjlddu0wT4qFJbYsOlUdp2el4iIiIg8d+HCBWg0Gvj6+tZ3KEREVAcafBJm69ateOKJJ7Br1y5s2LABNpsNt99+e6W/JuzYsQMTJkzAQw89hIMHD2LMmDEYM2YMjh07VqNY9lzKR3JeCYJ0tT8M6a/kMgFyAVh7OB12h1jn5yciIiKiiuXk5JTZdvjwYfz888+4/fbbIZM1+NtyIiKqgkY3MW9OTg7CwsKwdetWDBgwoNwy48ePh9FoxNq1a13bevfujc6dO2Px4sVVOk95k++89esp/Hw4DbHBuppfiAdMNgcMJjsWTuiCDtEB9RIDERFRdXCC2PrBdq97gwcPhkajRWzbzlD4BCAv5QLWrFoOpVKJnTt3om3btvUdIhEReaC636mNbolqvV4PAAgODq6wzM6dOzFjxgy3bcOGDcOPP/5Y4TEWiwUWi8X13mAwlClzPF0PdT2uTqRRyJBnF3E+p5hJGCIiIqIbSOtet2L5Vytg2vwHRGsJ5LoABLXqi7den8sEDBHRTaRRJWFEUcTTTz+NW265BR06dKiwXGZmJsLDw922hYeHIzMzs8Jj5s2bh7lz51a4v8BoRXaRBRqlvPqBe4kgCJAAXMgprrcYiIiIiMhd0rEMJEldEfpAV7ftAoBXtxUgKi4DwztE1k9wRERUpxrV4NMnnngCx44dw7fffuv1umfOnAm9Xu96paS4Lwd9Kc8Ik81Rr0kYAFDKBZzKLKrXGIiIiIjIySFKmLvmBMob/1+6be6aE3CIjWqGACIiqkCj6Qkzffp0rF27Ftu2bUNMTEylZSMiIpCVleW2LSsrCxERERUeo1aroVarK9xfYnXAIUpQyOpmWeqKKGQCDGZ7vcZARERERE57LuYjQ2+ucL8EIENvxp6L+ejTPKTuAiMionrR4HvCSJKE6dOn44cffsCmTZuQkJBw3WP69OmDjRs3um3bsGED+vTp43EcDlFyfovWbw4GEMDVkYiIiIhuENlFFSdgPClHREQNW4PvCfPEE09gxYoV+Omnn+Dn5+ea1yUgIABarRYAMHHiRERHR2PevHkAgKeeegoDBw7Eu+++izvvvBPffvst9u3bh08++cTjOBRyAYIASPWciJEkQCVv8Lk1IiIiokYhzE/j1XJERNSwNfin9Y8//hh6vR6DBg1CZGSk67Vy5UpXmeTkZGRkZLje9+3bFytWrMAnn3yCxMREfPfdd/jxxx8rncz3egK1KijkMtjquReKzSEi1K/iYVNEREREVHd6JgQjMkBT4W90AoDIAA16JlS8sicRETUeDb4njCRdfxKzLVu2lNl2zz334J577vFaHAmhPtAq5TDX8+S8ogS0jbz+2uREREREVPvkMgGzR7XDY18dgAC4TdBbmpiZPaod5PU8ryAREdWNBt8T5kahVckRF6KD2VZ/PWFESYIkORNCRERERHRjGN4hEh8/2BURAe5DjiICNPj4wa5cnpqI6CbS4HvC3EgSYwJxJLUQkiRBEOr+1wyjxQGtSo5W4X51fm4iIiIiqtjwDpG4rV0E9lzMR3aRGWF+ziFI7AFDRHRzYRLGi25t0wTf7U+B0eqAr7rum9ZgsqFnQjDiQ3R1fm4iIiIiqpxcJnAZaiKimxyHI3lR63A/dIwOhL7EVufnttpFCIKAOztF1ksvHCIiIiIiIiKqHJMwXiQIAkYlRkImE1BitdfpuXOKLYgJ0qJv89A6PS8RERERERERVQ2TMF52a+sw9G4WgtwiK8QqrNzkDQazDUqZDI8Nal6vKzMRERERERERUcWYhPEymUzAk4NboImfGtkGS62fz+4QUVhiw7D2EejXgr1giIiIiIiIiG5UTMLUgpggHR4d2BwyQUC+0Vpr53GIEjL0ZrQI88W0Ac04FwwRERERERHRDYxJmFoyvEMEpvZLgNUuIq/Y+z1i7A4R6YUmxAbr8NpdHRHko/L6OYiIiIiIiIjIe5iEqSWCIOCBXnF4dGBzSBCQVmiC3SF6pe4isx3pejOaNfHFW2M7IY5LUhMRERERERHd8BT1HUBjJggC7usZh7hgHRZtPofLeUb4a5Xw1yg8Gjpkd4jILrJCLnP2tHl8UAuE+qprIXIiIiIiIiIi8jYmYepA3xahaB8VgE//OI/fjmchtcAErUqOQK0SCnnlnZEkSYLJ5kBBiQ2QgMhALR4d2Ay3tg7jHDBEREREREREDQiTMHUkQKfEs8PaYEyXGGw4kYnfjmchy2BB6SLWGqUMcpkAAQIkSYLVIcLqkCAAUClk6BAVgJGdojCwdRP4qvnPRkRERERERNTQ8Gm+jrUI80WLsBb4e5947L9cgIs5xTidVYQzWcUw2xyQJOcy11GBWrSL9EfzMF+0CvdD+yh/9nwhIiIiIiIiasCYhKknvmoFBrZqgoGtmri2iaIEhyRBIROYcCEiIiIiIiJqZJiEuYHIZAJkYPKFiIiIiIiIqDFiEuYGUVhixYVcI7INZtgcEpRyASG+ajQL9UGwj4o9Y4iIiIiIiIgaOCZh6lFesQUbT2Xjt+OZSCswwWRzwO6QIAiAJAEKmQCNUo6IAA1ubx+O29qGI8xfU99hExEREREREZEHmISpByarA1/tuoQfD6WjsMQGhQzwUSsQ4qOCUu6cD0aSJNhFCWabA5fzjPho83l8tesyhrePxJR+8fDXKOv7MoiIiIiIiIioGmSeHJScnIyff/4ZqampbtuPHz+OW2+9FUFBQejSpQs2bNjglSAbk2Npejz5zQEs3XEZVruIqEANIgO18NcqoVLIXMOOBEGAUi6Dn0aJiAANooM0EEUJq/Yl44mvDmDfpfx6vhIiIiIiIiIiqg6PkjDvvPMO7r77bhiNRtc2o9GIoUOHYuvWrdDr9Th8+DBGjx6Ns2fPei3Yhm7H+Vy88L8jOJlRhHB/NUJ8VZDLqjbXi0wQEOSjQmSABpfyjHjxx2NYfzyzliMmIiIiIiIiIm/xKAmzbds2tGzZEq1bt3ZtW7FiBbKysjBmzBgcOnQIr7zyCiwWCxYtWuS1YBuy/Zfz8fovJ6EvsSEmSAOVwqOmh0IuQ1SgBhabA++sP42tZ3K8HCkRERF524cffoj4+HhoNBr06tULe/bsqbDsp59+iv79+yMoKAhBQUEYOnRomfKTJ0+GIAhur+HDh9f2ZRAREVENeZQJyMjIQLNmzdy2JSUlQRAELFy4EJ06dcJLL72E1q1bY9OmTV4JtCErMFox/7fTMJhsiArU1HilI0EQEO6vhsUm4j8bziC90OSlSImIiMjbVq5ciRkzZmD27Nk4cOAAEhMTMWzYMGRnZ5dbfsuWLZgwYQI2b96MnTt3IjY2FrfffjvS0tLcyg0fPhwZGRmu1zfffFMXl0NEREQ14FESpqCgAMHBwW7bdu3ahXbt2iE6Otq1rWPHjmXmjbnZSJKET7ZdQHJ+CcIDap6AKSUIAsID1MguMmPRpnMQRckr9RIREZF3vffee3jkkUcwZcoUtGvXDosXL4ZOp8OSJUvKLf/111/j8ccfR+fOndGmTRt89tlnEEURGzdudCunVqsRERHhegUFBdXF5RAREVENeJSE8fHxQU7O1WEwly5dQkZGBm655Ra3cgqFAna7vWYRNnDH0w3YcDITgVolFFWc/6WqZIKAEB8VdpzPxa4LeV6tm4iIiGrOarVi//79GDp0qGubTCbD0KFDsXPnzirVUVJSApvNVuYHsC1btiAsLAytW7fGY489hry8iu8FLBYLDAaD24uIiIjqnkdJmHbt2mH79u2uRMyKFSsgCAL69+/vVi4lJQXh4eE1j7IB++14JkxWB/w0tbMauI9aAZso4ddjnKSXiIjoRpObmwuHw1Hmfig8PByZmVX77n7++ecRFRXllsgZPnw4vvzyS2zcuBFvvfUWtm7dihEjRsDhcJRbx7x58xAQEOB6xcbGen5RRERE5DGPkjCTJk2CyWRC9+7dcffdd2Pu3Lnw8/PD6NGjXWXMZjMOHDiAtm3bei3Yimzbtg2jRo1CVFQUBEHAjz/+WGn5LVu2lJnMThCEKt8MVVVhiRWbTmXDR63w2jCk8vhrFNh9MQ+pBSW1dg4iIiKqe2+++Sa+/fZb/PDDD9BoNK7t9913H0aPHo2OHTtizJgxWLt2Lfbu3YstW7aUW8/MmTOh1+tdr5SUlDq6AiIiIrqWR0mYRx55BJMnT0ZKSgp++uknaDQaLFmyBH5+fq4yP//8M0wmEwYMGOC1YCtiNBqRmJiIDz/8sFrHnT592m1Cu7CwMK/GdTqzCEVme631ginlp1GgxOrAyYyiWj0PERERVU9oaCjkcjmysrLctmdlZSEiIqLSY9955x28+eabWL9+PTp16lRp2WbNmiE0NBTnzp0rd79arYa/v7/bi4iIiOqeR9kBQRCwZMkSzJ07F1lZWWjTpg18fX3dyrRq1Qo//PADevfu7ZVAKzNixAiMGDGi2seFhYUhMDDQ+wFdcTHXCFGSoJR7thx1Vcmu9LK5mFsM4OYe/kVERHQjUalU6NatGzZu3IgxY8YAgGuS3enTp1d43Ntvv43XX38dv/32G7p3737d86SmpiIvLw+RkZHeCp2IiIhqQY26aMTGxlY4prhz587o3LlzTaqvdZ07d4bFYkGHDh0wZ86cMhMLX8tiscBisbjeV2VCu+T8EkhS3axaJAjA+RxjnZyLiIiIqm7GjBmYNGkSunfvjp49e2LBggUwGo2YMmUKAGDixImIjo7GvHnzAABvvfUWZs2ahRUrViA+Pt41XNrX1xe+vr4oLi7G3LlzMXbsWEREROD8+fN47rnn0KJFCwwbNqzerpOIiIiur3bHydygIiMjsXjxYnTv3h0WiwWfffYZBg0ahN27d6Nr167lHjNv3jzMnTu3WucpsdprdS6Ya8kFASWWm3slKiIiohvR+PHjkZOTg1mzZiEzMxOdO3dGUlKSa7Le5ORkyGRXe81+/PHHsFqtGDdunFs9s2fPxpw5cyCXy3HkyBEsW7YMhYWFiIqKwu23345XX30VarW6Tq+NiIiIqkeQqtBV48svv6zRSSZOnFij46tDEAT88MMPri6/VTVw4EDExcVh+fLl5e4vrydMbGws9Hp9heOqX117Ar8dz0RMkLZasXgiQ29G59hAvH9fF4/ryDaYcTzdgAu5RpzJNCDTYIHdIUIhlyHYR4XWEX5oFuqDtpH+iA3WeTF6IiK6WRkMBgQEBFT6fUrex3YnIiLyjup+p1apJ8zkyZNr1KOjLpMwnurZsye2b99e4X61Wl3tX5cCtUqgbkYjwSFKCPZRVfs4UZRwMKUA645m4s9zuSg22wEBEAAoFTIIcF7Cxdxi7L2YDwmAj1qOrnFBuLNTJHolhEClqN05b4iIiIiIiIgagyolYSZOnFhnw2rqy6FDh7w+mV3TUB9IACRJqpP2axHme/1C17iUa8T7G8/iUEoBrHYJfho5ogI1kMkqjlWUJBRb7Nh+Lhc7zuehTYQf/m9IS3SIDqhp+ERERERERESNWpWSMEuXLq3lMGqmuLjYbUnGixcv4tChQwgODkZcXBxmzpyJtLQ017CqBQsWICEhAe3bt4fZbMZnn32GTZs2Yf369V6Nq1moD1QKGSx2ERql3Kt1X8vmECEIQEKoT5XKO0QJPxxMw9IdF1FgtCLEVwWdqmrTA8kEAf4aJfw1SlhsDhzPMGDGqkMY3z0WD/ZpCrWi9q6TiIiIiIiIqCFrFBPz7tu3D7feeqvr/YwZMwAAkyZNwtKlS5GRkYHk5GTXfqvVimeeeQZpaWnQ6XTo1KkTfv/9d7c6vKF1hB+iAjVIKzAhIqD2khP6EhtCfNToFBN43bI2h4j3fz+Lnw+nQyETEBOk9biXjlopR0ygBgUlNnyx4xIu5Brx7zvawkfdKD5WRERERERERF5VpYl5qayqTr6zYncyPtx8DtHXGebjKUmSkFpgwoO9m+KxQS0qLesQJfxnw2n8eCgdAVoF/DRKr8VhsjqQW2zFgFahmD2qfa32/CEiosaDE8TWD7Y7ERGRd9TKxLyVMRqNOHfuHAwGAyrK5wwYMKCmp2mwhrYLw8q9ycgptiDcX+P1+vONVvhrlBje4frz2azal4KfD2d4PQEDAFqVHKG+KvxxJhcfbzmPf97Wyqv1ExERERERETV0HidhLly4gKeeegpJSUkQRbHCcoIgwG63e3qaBi/MT4Op/RLw7vozKLE6oFN5r4eIxe6AySbiHwPirzsfzLnsIny58xJUcsHrCZhSWpUcfloF1h5JR+9mIejTPKRWzkNERERERETUEHm0tnBGRgb69OmDX375BeHh4WjSpAkkSULv3r0REhLi6hHTp08f9O/f36sBN0QjO0Whd7MQ5BZbYHOUn7CyO0QYLXYUme0wWuywOcQKexYBgF0UkWWwoFN0AO7tEVvp+W0OEe9vPAuDyYYQ3+ovY10d/hoFrHYRH24+B73JVqvnIiIiIiIiImpIPErCvPnmm8jJycG///1vpKamYsSIERAEAX/++Seys7Px66+/omnTptBqtdiwYYO3Y25w5DIBL4xogw5RAcjQW2CxOxMxFrsDmXozTmUU4URGEc5mF+NcdjHOZhXjRHoRTmUWIa3ABJPV4VafzSEivdCM5k188fKodtddkWjn+TwcTtGjiZ+61pfKFgQB4f5qXMozYsOJrFo9FxEREREREVFD4lES5rfffkN0dDTmzp1b7v5hw4bh119/xbZt2/Duu+/WKMDGIthHhTf+1hFdYgORqTfjbFYRTmUUIV1vhtnmACQJCpkApVyAQi5AEACLTURWkQVnsopxOc8Iq90BfYkNmXoLWkf4Yd7fOiIyQHvdc687mgFRkupsslyFXAa5AKw9nA57BT1/iIiIiIiIiG42HiVhkpOT0blzZ8jlzod6mcxZzbVzv7Ru3Rr9+/fHihUrvBBm4xDqq8a0Ac2gVcqgN9lhc0iQC4BSIYNCLoNMEFwvhUyASiGDWi4AkJBTZMWx9CIYzDbc0z0G79/XBTFBuuue82KuEfsvF8BfW7fLRgf5qHApz3luIiIiIiIiIvIwCaNUKuHjc3Ui2NL/zs3NdSsXFhaGCxcu1CC8xuV4uh5z1xyHxS6hZZjvlflZBFjtIix2ETaHCLsowSFKsIsSbA4RVocEhwQoZMKVnjIy9EoIgX8VJ9c9kloIk9UBP3XdJmE0SjnsooQjqfo6PS8RERERERHRjcqjJExUVBRSUlJc7xMSEgAA+/btcyt3/Phx6HTX761xM8g3WvHK2hPIKrIgOkiDAJ0SCaE+aBPhh6hALQJ1Sijkzn8O8cp8vHKZDAFaJaICNGgd6YeO0f5wSBLe/PUkkvNKqnTeCznFkIBanwumPIIAnMo01Pl5iYiIiIiIiG5EHnWP6NatG9atWwe73Q6FQoEhQ4ZAkiS88MILSEhIQFxcHBYuXIijR49i6NCh3o65wZEkCR9vOY+U/BJEB2ohuyYholbKEK5UA1ADAOyiBEkCBDh7v+AvuZPIAA3SCsz4YNNZvPm3jq7ETUVOZBRBKa/7BAwAaJVynMsuhs0hQnmdOImIiIiIiIgaO4+ejIcPH47CwkIkJSUBADp16oQxY8bgxIkT6NSpEwIDA/Hyyy9DJpNh9uzZXg24ITqWZsCmU1kI0ikhl1WeELl2ct6/JmAAQCYICPVVYe/FfGw/l1u2wF9k6s1QKeonAaKSy2CyOVBYwqWqiYiIiIiIiDx6Or/vvvuQkpKCQYMGubZ99dVXmD59OsLCwqBQKNCxY0esXr0at9xyi7dibbB+O54Bs80BXy/Ny6JVyeGQJKw7mllpOVGUIEoS6mEkEgDncCRJAuwiV0giIiIiIiIi8igroFAoEB0d7bZNp9Phgw8+wAcffOCVwBoLk9WBLWdy4KNWeHVeFn+NAodSCpCpNyMiQFNuGdfpJK+dttoEAZDXVxaIiIiIiIiI6AbCiTpq2aU8I4wWB3QquVfr1akVMFkdOJ9TXGEZQRDgp1HALtZPFsYuSpDLBPjU8cpMRERERERERDciJmFq2eU8I6x2EWovz8uikAmQAFy+zipJbSP9YbHXz3Agk9WBmCAdkzBERERERERE8HA40tSpU6tcVhAEfP75556cplEw2RyQCbWzRLRwpf7KtAjzxYYTWV4/d1XYRQntIv3q5dxERERERERENxqPkjBLly6tdH9pwkGSpJs+CSMThFqdkuV6q0+3DveDQibAbHNAo7w6JMpmF2GyiTDbHc7JewHIZTJolTJolPLrruJ0PaVDoFqF+9eoHiIiIiIiIqLGwqMkzBdffFHudlEUcfnyZaxbtw779u3D008/jcTExBoF2NA18VVDgHOFIIXMe0OSJEmCJAGhfupKy3WODUTTEB9cyjMi3E+OQpMVecVWlFidyZe/EgRn4ihQq0Swjwq+Gs+GEhWWWBHso0K/lqEeHU9ERERERETU2Hj0hD1p0qRK98+ZMwfPPfccPv30Uxw4cMCjwBqLZk18oVXJYbaK8NV4LwljsYtQKmRoFupbaTmFXIY7O0ViftIpnDIaXPPDyGUCVDKZ2/LVEpzJHYcI5BqtyC+xwl+jRHSQtlpz2kiShBKrA3d1jkaAVunJ5RERERERERE1OrU2Me8bb7wBPz8/zJo1q7ZO0SCE+6sRG6yDwWz3ar0Gsx0hPio0a+JTaTmbQ8SlXCMMZjuMVgeUchnUChkUMgF/naZGgLMXjFIuQK2QQS4IKDTZcCarGIUltirHlm90Jm/u6BjpwZURERHVPYPBgI8++ggPPvgghg0bhrffftu178yZM1i/fj3MZnM9RkhERESNQa0tW6NQKNC1a1f8/vvvtXWKBkEQBIzqFIV31p/22pAkUZJgsYkY0THSbZ6Xv7I7RLyddBq/HstAqK8KucVWSJKEMtmX8uKGs7eMTCbAahdxOa8EDkmLEB9VpcdZ7A6YbCKmDYhH8yaV99IhIiK6Eaxfvx73338/CgoKXPPZRUdHu/afPn0aY8aMwTfffIN77723HiMlIiKihq5Wl6g2mUwoKCiozVM0CLe2CUN0oBbZBqtX6sstsiDYR4URHSIqLffpHxfw67EMBOqUiAnSIlCrhM0hlTsXTEUEACqFDBIkpOabUFRJjx6HKCHbYEGn6ACM7xFb5XMQERHVl5MnT+Luu++GXq/HY489hpUrVzp/sLjGsGHDoNPp8NNPP9VTlERERNRY1FoS5uTJk9i+fTtiY/kwHqBV4tFBzSGXCTCYqj6spzwlVjtsDglTbolHVKC2wnL7L+fj+wNp8FHL4atWQBAExARroVPJYbWLZW4wKyMAUMplECUJqQUm18pH1xJFCemFZkQH6fCv4W2gVlTcQ4eIiOhG8cYbb8BsNmPlypVYtGgR7rnnnjJlVCoVOnfujMOHD9dDhERERNSYeDQc6csvv6xwX1FREU6ePInly5fDbDbj/vvv9zi4xmRQqyY42CkS/zuYBkEQ4OfBqkMlVgfyiq0Y0jYcoxOjKixnsTuwcNM5mG0ORAdqXNuVchkSmuhwMceIEqsIpRxVXopaAKCSy2CyOZClNyM66GoCyGoXkWWwIDpQi7mj2yMhtPJ5aoiIiG4UmzdvRmJiIv72t79VWi4mJgYnTpyoo6iIiIiosfIoCTN58mQIlcwrUtrL4q677sJLL73kWWSNjCAIeHJISzhECWuOZKDEakcTPzVkVZifRZIk5BmtMNtE3No6DDNHtIVCXnEnpl0X8nEhx4gmfuoy/05qhRzNmvgiOa8ERRY7HKIEpVyo9N/z6jUAckFAvtGKcH8N5DKgoMQGo8WBdpF+eOGOtpwHhoiIGpScnBz069fvuuXsdjuMRmMdRERERESNmUdJmIkTJ1b40K5SqRAdHY2hQ4eib9++NQqusVHKZZhxe2u0DPfDku0XkVpggo9KgUCdstweKaIoQW+yodhih59GiX8MTMC93WOuO9TnlyMZECWpwmWlVQoZmof5IKfYiky9GRa7BLlMurJiUuXJGIVcgMXmQGpBCeQyAT5qBabcEo8HejWFVsUhSERE1LAEBAQgLS3tuuUuXLiAsLCwOoiIiIiIGjOPkjBLly71chg3D7lMwJgu0ejWNAg/HEjDhpNZyNBfXfJSJgCiBEACJDjnkxmdGI27u0ajVbjfdesvMttwNK0QvurK/2kFQUCYnxr+GgVyiy0oMNpgcUgARMgEwfkCnOOQAEiSc1UmhyjBIUkw20VM6BGH0Z2j0DbS39PmICIiqlddu3bFtm3bkJycjLi4uHLLHDt2DIcPH8bdd99dx9ERERFRY1OrqyPVlW3btmHUqFGIioqCIAj48ccfr3vMli1b0LVrV6jVarRo0aLOE0uxwTr839CW+OqhXnh1TAdMuSUBg9uEoVdCCAa1boKJfZtizuj2WDa1J54f0aZKCRgAuJhrhMnmqHKvFI1SjpggHdpG+iEuWItgHxVUchkkCbBLEuwOCXZRgigBCpkMQToVQnxUiA3S4l/DWjMBQ0REDdrDDz8Ms9mMCRMmIDMzs8z+3NxcPPzww5AkCQ8//HA9REhERESNiUc9YW40RqMRiYmJmDp16nUn1gOAixcv4s4778Sjjz6Kr7/+Ghs3bsTDDz+MyMhIDBs2rA4ivipAp8StrcNwa2vv1JeSb4LNLkElr9qEu6UUchlCfdUI9VVDkiTYHBLsoghJujIXjEwG1ZW5Y4otdpjtIrKKzIgMqHiFJiIiohvduHHjcM8992D16tVo3rw5brnlFgDAn3/+idGjR2PLli0oLi7GAw88UOf3CERERNT4VCkJ88orr3h8AkEQ8PLLL3t8fFWMGDECI0aMqHL5xYsXIyEhAe+++y4AoG3btti+fTv+85//NPgbLLPNAZmAKk20WxFBEKBSCFBV0FFKLggQRQlmm+jxOYiIiG4UK1asQIsWLbBgwQL8/vvvAICzZ8/i7NmzUKlUeOaZZ/Dmm2/Wc5RERETUGFQpCTNnzhwIguBa9ajU9R70JUmqkyRMde3cuRNDhw512zZs2DA8/fTTFR5jsVhgsVhc7w0GQ22FVyOyOhpgVrpSEhERUUMnl8vx+uuv49lnn8XmzZtx4cIFiKKI2NhYDBkyhBPyEhERkddUKQkze/bsMtsuXryIL7/8EhqNBrfffjsSEhIAAJcuXcL69ethNpsxadIkxMfHezVgb8jMzER4eLjbtvDwcBgMBphMJmi1ZYfYzJs3D3Pnzq2rED0WqFNBAuAQpXJXXPIGq0OEUiZDoI+yVuonIiKqD0FBQVUa1kxERETkKY+SMCkpKejatSvGjBmDjz/+uExCIzs7G48++ih++eUX7Nu3z3vR1qOZM2dixowZrvcGgwGxsbH1GFH5mof6QqOUw2xzwOc6KyR5ymxzICHEF/4aJmGIiIiIiIiIqsqjwSsvv/wylEolVqxYUSYBAwBhYWFYsWIFFArFDTcUCQAiIiKQlZXlti0rKwv+/v7l9oIBALVaDX9/f7fXjSg6SItArRIlVketncNqF9Ex5sa8fiIiour45ptv0KxZMyQlJVVYJikpCc2aNcN3331Xh5ERERFRY+RREmb9+vUYMGAANBpNhWU0Gg369++PDRs2eBxcbenTpw82btzotm3Dhg3o06dPPUXkPXKZgNvbh8Nsc5SZw8cbTFYHVAo5BrRq4vW6iYiI6to333yDwsJCDB48uMIyt956KwoKCvD111/XYWRERETUGHmUhMnPz4fJZLpuObPZjIKCAk9OUS3FxcU4dOgQDh06BMA5X82hQ4eQnJwMwDmUaOLEia7yjz76KC5cuIDnnnsOp06dwkcffYRVq1bhn//8Z63HWhdubxcBH7UCepPd63XnG61o3sQHXWKDvF43ERFRXTty5Ag6deoElUpVYRm1Wo3ExEQcPny4DiMjIiKixsijJExcXBw2b95cZkjPtTIzM7F58+Y6mTdl37596NKlC7p06QIAmDFjBrp06YJZs2YBADIyMlwJGQBISEjAL7/8gg0bNiAxMRHvvvsuPvvsswa/PHWp+FAfDG8fgSKzDXaH95aRLjLboJTLMLFPPGS1NOkvERFRXcrMzER0dPR1y0VHRyMzM7MOIiIiIqLGzKMkzP3334/i4mIMGTKk3OFGv//+O2677TYYjUbcf//9NQ7yegYNGgRJksq8li5dCgBYunQptmzZUuaYgwcPwmKx4Pz585g8eXKtx1mXHurfDAmhPsjUW7wyLMlqF1FQYsPt7cPRv2WoFyIkIiKqfzqdDnl5edctl5eXV2lvmev58MMPER8fD41Gg169emHPnj0Vlv3000/Rv39/BAUFISgoCEOHDi1TXpIkzJo1C5GRkdBqtRg6dCjOnj3rcXxERERUNzxKwrzwwgvo1asXTpw4geHDhyM8PBy9evVCr169EB4ejmHDhuH48ePo2bMnXnjhBW/HTFUQoFXiX8PaIMhHhXS9uUaJGKtdRKbBjI7RAXh0YHMIAnvBEBFR49C+fXv8+eefyM/Pr7BMfn4+tm/fjjZt2nh0jpUrV2LGjBmYPXs2Dhw4gMTERAwbNgzZ2dnllt+yZQsmTJiAzZs3Y+fOnYiNjcXtt9+OtLQ0V5m3334bH3zwARYvXozdu3fDx8cHw4YNg9ls9ihGIiIiqhseJWE0Gg02bdqEZ555Br6+vsjJycHevXuxd+9e5OTkwMfHBzNmzMDGjRsrnbyXaldibCBeGNEGaoUM57KNyDaYYTDZqjVpr95kQ5bBgo7RAXh1TAcE6jz/FZCIiOhGM3bsWBiNRjz44IMoKSkps99kMuHvf/87TCYTxo0b59E53nvvPTzyyCOYMmUK2rVrh8WLF0On02HJkiXllv/666/x+OOPo3PnzmjTpg0+++wziKLoWlRAkiQsWLAAL730Eu666y506tQJX375JdLT0/Hjjz96FCMRERHVDYWnB2q1WsyfPx+vvvoqDhw4gNTUVADOMdPdunVj8qWaLHYHcoosKLE6oFbIEOKrhq/a438eZOrN2HAyC+uOZMBkFVFidaDQZIMAQCET4KtRIMRXhQCtErK/9GyRJAklVgcKSmxQKWS4u0sUHhnQHAFaZQ2vkoiI6Mbyj3/8A59++il+++03tGrVCvfff7+rx8upU6fwzTffID09Ha1bt8bjjz9e7fqtViv279+PmTNnurbJZDIMHToUO3furFIdJSUlsNlsCA4OBuBcgCAzMxNDhw51lQkICECvXr2wc+dO3HfffWXqsFgssFgsrvcGg6Ha10JEREQ15/lT/hUajQZ9+/b1Riw3pbRCE34/kYV1RzOQZ7RCFCUIAqBVyjGodRiGd4hA+yj/Kg8Bstgd+O/WC1h3NANFZjuUCgFN/FSIDNAgz2hBbpEFZruIAqMVhVeSLGF+avioFbA7RJhsDjhECWqlHIkxgXigdxz6NAvhECQiImqUtFotfvvtN9x9993Yv38/3n33Xbf9kiShS5cu+OGHH6DT6apdf25uLhwOB8LDw922h4eH49SpU1Wq4/nnn0dUVJQr6VI6QXB5dVY0efC8efMwd+7c6oZPREREXlbjJAx5xmoX8cm281hzJAPFZjtUCgG+agXkMgGSBJhsDvxwMBXrjmWgS2wgZt7RFqG+6krrLLHa8draE9h2Jhc+ajmigzRuvVzC/TVo4qeBwWRDkdmOIrMNJpsD6YVmhPgqEeKrRusIf7SL8ke/FqHVSv4QERE1VDExMdizZw/WrFmDpKQkXL58GYBzNcjhw4dj9OjR9fZ9+Oabb+Lbb7/Fli1batTLeObMmZgxY4brvcFgqJMVLImIiMhdlZIw27ZtAwD07NkTGo3G9b6qBgwYUP3IGjGrXcTrv5zAxlPZ8FGVTZYAgFYlR5BOiRKrAzsv5OPZ1Yfx5t86ISKg/Bswu0PE/N9OY+uZHIT6qqFVycstJxOAQJ0SgTolAC3sDhE5RVbI5QKeGtISt7WL8PblEhER3fAEQcDo0aMxevRor9YbGhoKuVyOrKwst+1ZWVmIiKj8O/edd97Bm2++id9//x2dOnVybS89LisrC5GRkW51du7cudy61Go11OrKf8whIiKi2lelJMygQYMgCAJOnjyJVq1aud5XhSAIsNvtNQqysfloyzlsPJWNIJ0SPpXM+yIIAnzUCqgVMpzJKsIra47jnXsToVOVPeaXoxnYeDIbwT6qChMw5VHIZYgIUCNTb8GiTefQNS4IIdfpcUNERERVo1Kp0K1bN2zcuBFjxowBANcku9OnT6/wuLfffhuvv/46fvvtN3Tv3t1tX0JCAiIiIrBx40ZX0sVgMGD37t147LHHautSiIiIyAuqlIQZMGAABEFwjYUufU/VdzHXiHVHM+CrlleagLmWQi5DhL8GR9L02HwqB3d2inTbL4oSfj6cDgBVrvNagiAgzF+N9EIzNp7Kxr3d2T2ZiIhuPg6HA3l5eZUu8xwXF1ftemfMmIFJkyahe/fu6NmzJxYsWACj0YgpU6YAACZOnIjo6GjMmzcPAPDWW29h1qxZWLFiBeLj413zvPj6+sLX1xeCIODpp5/Ga6+9hpYtWyIhIQEvv/wyoqKiXIkeIiIiujFV6Yl9y5Ytlb6nqlt/PBNGiwMxQdUb161SyCAAWHMkHXd0jHBLgh1MKcCFnGIE6TxfvUguE6CQC/jlSAb+1iUaCrlHq5cTERE1OHv37sWsWbOwdetWtxWE/srT3r3jx49HTk4OZs2ahczMTHTu3BlJSUmuiXWTk5Mhk1393v34449htVrLLIk9e/ZszJkzBwDw3HPPwWg0Ytq0aSgsLES/fv2QlJTE1SmJiIhucIIkSVJ9B9EQGQwGBAQEQK/Xw9/fv0rHlFjtePCz3dCbbGjiV/0hPyVWO4rNDiy4rzM6xQS6tr/2ywn8ejQTscHaatd5LbPNuSz1W2M7oXezkBrVRUREVBWefJ96065duzB48GBX75egoKBK47h48WJdhVar6rvdiYiIGovqfqdydaQ6lJJvQmGJDf5az5pdq5Qj32jDuexityTMqYwiaJQ177miUcohilZcyjUyCUNERDeF2bNnw2w2Y+rUqXj99dfLLPtMRERE5E0ePbknJyfj559/Rmpqqtv248eP49Zbb0VQUBC6dOmCDRs2eCXIxqLEaodDlCCXeTafjiAIEAAYrQ637UUWm8d1lqfYwomUiYjo5rB79260bt0an376KRMwREREVOs8SsK88847uPvuu2E0Gl3bjEYjhg4diq1bt0Kv1+Pw4cMYPXo0zp4967VgGzqlXAaZDKjpADD1X+ZrkQtCjet0q8+LCR0iIqIbmd1uR+fOnbngABEREdUJj5Iw27ZtQ8uWLdG6dWvXthUrViArKwtjxozBoUOH8Morr8BisWDRokVeC7ahC/FVQSmXwWxzXL9wOewO0VXPtfw0SjhEscbxSZIECZ6tsERERNQQtWnTBrm5ufUdBhEREd0kPErCZGRkoFmzZm7bkpKSIAgCFi5ciE6dOuGll15C69atsWnTJq8E2hhEBmjRvWkQDGbPhvsUltgQ6qdGr7/M19IjPggWu4SazrFcYnVArZChXSQn6CMiopvDtGnT8Mcff+D8+fP1HQoRERHdBDxKwhQUFCA4ONht265du9CuXTtER0e7tnXs2LHMvDE3uxEdIyEXBFjs1esNI0kSTDYRt7cLh+9feqrc3j4CWpUcRotnPWxKFZbY0DbSH+2jmIQhIqKbw7Rp0zBhwgTcdtttWLduHRyOmn2XEhEREVXGo3EnPj4+yMnJcb2/dOkSMjIyMGrUKPfKFQrY7Zzk9Vq9EkLQPMwXpzOLEB2ogawK869IkoQsgwUBWiVGdIgss79lmC86RQdgz6V8+Go8G0pkc4iQAIzsFMlx8UREdNMo7dl76dIljBo1CgqFApGRkZDJyv5OJQgCe8wQERFRjXj0xN6uXTts374dOTk5aNKkCVasWAFBENC/f3+3cikpKVxp4C9UChleHtkO/1p9GOmFZkQGaiqdCLc0AaOUy/DP21ohPtSnTBlBEDCmSzQOpRaiwGhFkI+qnJoqJkoSMvUWxIf6YECrJtW+psaowGjFpTwjzDYRCrmAyAANogK0VUqaERFRw3Hp0iXXf0uSBJvNhuTk5HLL8kcKIiIiqimPkjCTJk3Czp070b17d3Tt2hXr1q2Dn58fRo8e7SpjNptx4MABDB482GvBNhYJoT54428dMffn47iUVwKVQkCQTgWV4uqvbg5RQmGJDSVWBwK0Sjw9tCVua1dxQqt/y1A80DMOy3ZehlBiRaCuaokYUZSQrjcj1FeFWSPbQae6eSflLTBasfFUNn49loG0AhNMNgdEUYIgCFArZAjUKTG4TRiGtY9Asya+9R0uERF5wcWLF+s7BCIiIrqJePTE/cgjj2DXrl1YunQpUlJS4OfnhyVLlsDPz89V5ueff4bJZMKAAQO8Fmxj0ircD+9P6IKkY5n45UgG0gpNrtWJSgXpVBjZKRJ3dopEizC/CusCnL/OTbklAXZRwrd7k5FeaEKIjwpqpbzc8pIkochsR6HJhsgALV66sy1aR1R+jsZKkiT8djwTn2y7gCyDBQqZc4WoEB8V5DIBkiTBYheRb7Tiq12X8cPBNNzdJRqT+sbf1EkrImrY8vLy8MMPP+CXX37B0aNHkZaWBpVKhY4dO2LKlCmYMmVKuUNyduzYgddeew27du2CyWRCy5YtMXXqVDz55JOQy8v/zrmRNW3atL5DICIiopuIINVgSZ2UlBRkZWWhTZs28PV17xlw6NAhXL58Gb17926UQ5IMBgMCAgKg1+vh71+ziWwtdgd2X8jHpTwjSqwOqOQyhPmr0a9FaJV7tJSSJAnrjmbi2z3JSM4vgUOS4KtWQCkXIBMEOCQJJqsDZpsDPmoFujcNwiMDmiOhnGFONwOrXcT7v5/B2qMZEAA08VNfd3hYYYkNxRYHOkT749W7OiDMX1N3ARMRecnixYvx2GOPITIyErfeeivi4uKQlZWF//3vf9Dr9Rg7dixWr17tNgTnp59+wtixY6HRaDB+/HgEBwdjzZo1OH36NMaNG4fVq1dXOw5vfp9S1bHdiYiIvKO636k1SsLczG70mxe7Q8Sei/n49Vgm9l3Oh90hQZQkyGUCfNUKjOgQidvahZc7x8zNQpIkvLv+NH48lI4ArQJ+GmWVj7XaRWQZLGgX6Yf59yRWO1lGRFTfNm3aBKPRiDvvvNOtx0tmZiZ69uyJlJQUfPfddxg7diwA5/deixYtoNfr8eeff6J79+4AnMOPBw8ejJ07d+Kbb77BfffdV604bvTv08aK7U5EROQd1f1OrfFYCr1ej7179yInJwdNmzZF3759a1oleYFCLkPfFqHo2yIUBrMNxWY7rHYROpUcATol1IqG12Xc2zacyMLaIxnVTsAAzgmWIwLUOJ5hwH+3XsBzw1tzwkYialAqmrMtIiICjz76KF588UVs2bLFlYT57rvvkJOTg4kTJ7oSMACg0Wjw2muvYciQIfj444+rnYS5UXz//fdYvXo1Tp8+DYPBgPJ+o+LqSERERFRTHidhioqK8M9//hPLly93LUM9adIkVxLms88+w6xZs/DDDz+gV69e3omWPOKvUcK/mkmGxk5fYsMn2y5AklDtBEwppdw5We9vJzIxqHUT9GoW4uUoiYjqh1Lp/LuoUFy9Tdi0aRMAYPjw4WXKDxgwADqdDjt27IDFYoFara6bQL1AkiTce++9+N///ldu4gVwJl8kSWKynYiIiGqs7Ix7VWAymTBo0CAsWbIEQUFBGDFiRJkbl5EjRyIrKws//vijN+KkCoiihGKLHTaHWN+hNCibT2cj02BGmH/NHhT8NUpY7SLWHsnwUmRERPXLbrfjyy+/BOCecDl9+jQAoFWrVmWOUSgUSEhIgN1ux4ULF+omUC/59NNP8f3336NTp0747bff8Le//Q2CIOD06dNYu3Ytxo8fDwB46aWXGty1ERER0Y3Ho54w7733Hg4ePIgJEybgk08+gY+PT5kVFCIiItC2bVts3rzZK4HSVQ5Rwv7LBUg6loE9F/PhuLKMctMQHe7sFImBrZp43LvjZpF0LBMyQah0Et6q8tMosOdiPjL1ZkQEcJJeImrYXnjhBRw7dgx33HEHhg0b5tqu1+sBAAEBAeUeV7q9sLCw1mP0puXLl0OtVuPXX39FREQEVqxYAQBo2bIlWrZsiTvuuAO33norHn/8cQwaNIirKREREVGNeNQTZuXKlYiIiMDnn38OH5+KJ3Zt1aoVUlNTPQ6uOj788EPEx8dDo9GgV69e2LNnT4Vlly5dCkEQ3F4aTcN4eE7JL8ETXx/Ac98dxvrjWbA6RAgCIEoSjqXp8eavpzBxyR5sPpVd36HesIrMNlzOM8JH7Z15cXzVCpRY7TiXXeyV+oiI6ssHH3yAd999F23atMHy5cvrO5w6cezYMfTp0wcREREA4BpydG0P32nTpqFVq1aYP39+vcRIREREjYdHSZjz58+jZ8+e101c6HQ65ObmehRYdaxcuRIzZszA7NmzceDAASQmJmLYsGHIzq44EeHv74+MjAzX6/Lly7UeZ02l5JfgX98dxtG0QgTolIgJ1iLYRwV/rRKBOiWig7SI8Fcjv9iKN9adRNKxzPoO+YZ0Oa8EZrsIjdKjj38ZcpkACcDlfKNX6iMiqg+LFi3CU089hXbt2mHz5s0IDg5221/a06W0R8xflW4PDAys1Ti9zWQyITIy0vW+dD4bg8HgVq5z587Yt29fncZGREREjY9HT6FyuRw2m+265VJTUyvtKeMt7733Hh555BFMmTIF7dq1w+LFi6HT6bBkyZIKjxEEAREREa5XeHh4rcdZE3aHiNd+OYGU/BJEBWqhVZbfi0Mhd67aY3OIeH/jGZzLLqrjSG98FrsDDlGC3IsTLAoAzDbOy0NEDdOCBQvw5JNPokOHDti8ebOrV8i1WrduDQA4c+ZMmX12ux0XL16EQqFAs2bNaj1ebwoPD0dOTo7rfVhYGADg3LlzbuXy8/NhNpvrNDYiIiJqfDxKwjRv3hyHDx92rYpUnuLiYhw5cgRt27b1OLiqsFqt2L9/P4YOHeraJpPJMHToUOzcubPS+Jo2bYrY2FjcddddOH78eKXnsVgsMBgMbq+6tP9yAU5nFqGJn9o1j4kkAUVmO/KMVuQZrTCY7BAlZ4Ip3F8Ng8mOdUfYG+avFDIZZAIglr8IhseUcq6aQUQNz1tvvYV//vOf6Ny5MzZv3uxKQvxV6ZLWSUlJZfZt27YNJSUl6Nu3b4NaGQkAWrRo4Tbhbo8ePSBJEhYvXuzadvLkSWzZsgXNmzevjxCJiIioEfEoCTN69GhkZGTgtddeq7DMa6+9Br1ej7vvvtvj4KoiNzcXDoejTE+W8PBwZGaWn4Bo3bo1lixZgp9++glfffUVRFFE3759K52/Zt68eQgICHC9YmNjvXodgHP8+Yl0A97//Qwe+2o/pi7di2dWHcaPB9Pw46E02BwSNEo5HKKELIMFJzMNOJddjMt5JUjOK8H5nGKcyjAgy2CBQwR0Kjk2nMyCvuT6vZZuJtFBWqgVcljsDq/UJ0oSJAmIDtR6pT4iorry6quv4oUXXkC3bt2wceNGhIaGVlh23LhxCA0Nxbfffus2LMdsNuOll14CADz22GO1HrO33X777bh48SJOnDjheh8bG4slS5agR48eGDt2LPr06QObzYaJEyfWc7RERETU0Hm0OtI///lPfPHFF3j11Vdx6NAh3HvvvQCArKws/O9//8OqVauwevVqxMfH49FHH/VqwN7Qp08f9OnTx/W+b9++aNu2Lf773//i1VdfLfeYmTNnYsaMGa73BoPBq4mYLIMZbyedwqGUQphtIpRyATIBOOuQsOtCLvKMVgRoncshX8otgdFqhwBcKefsgSFKgNUhIq3QhMISK+KCdcg3WnEsXY9bWlR8Y32zCfFRoYmfGmmFJV5ZRcpkdUCjkqNZE18vREdEVDeWLVuGWbNmQS6Xo3///vjggw/KlImPj8fkyZMBOOdS+/TTTzFu3DgMGjQI9913H4KDg/Hzzz/j9OnTGDdunGs554ZkwoQJsNvtMJlMAACVSoWVK1dizJgx2L9/P/bv3w8AuOuuu/DUU0/VZ6hERETUCHiUhAkMDERSUhJGjx6Nn3/+GWvWrIEgCEhKSkJSUhIkSULTpk2xZs2aWp8TJjQ0FHK5HFlZWW7bs7Kyyh3TXh6lUokuXbqUGf99LbVaXWtdrLMNZvzru8M4l12MYB8VQn1VrtUZAMBicyCnyIJ8oxVFZjvsogSV3Dmk5loyAVDJZRAlwGh14HKeEVqVAkZLxcPGGjtJknAqswj7LuXDYLZDJgjw1yrQJTYAF3ONECXJlcTyVGGJDZ1iAhAfovNS1EREte/ixYsAAIfDgQULFpRbZuDAga4kDACMGTMGW7duxeuvv47vv/8eZrMZLVq0wHvvvYf/+7//c/vuaiji4uLw4osvum3r3bs3Ll68iG3btiE/Px9t27ZF586d6ydAIiIialQ8SsIAQLt27XDs2DEsXboU69atw4ULFyCKImJjYzFixAhMmzYNOl3tP5SqVCpXN+oxY8YAAERRxMaNGzF9+vQq1eFwOHD06FHccccdtRhp+URRxL9/OIoDlwuglMuQZjVBKZchSKdEgFYJmUyAQi6DQi6D1e5w9rpQlk3AXKs0GVNidQAQoFJ4ZxWghkSSJGw6lY2fD6fjWJoeFpvonD0XACRAqZDBaLEjtcCE2CCtxw8OZpsDggCMSoxqkA8fRHTzmjNnDubMmVPt42655RasW7fO+wHdYLRaLYYNG1bfYRAREVEj43ESBgA0Gg0effTRSoccFRQUICgoqCanua4ZM2Zg0qRJ6N69O3r27IkFCxbAaDRiypQpAICJEyciOjoa8+bNAwC88sor6N27N1q0aIHCwkLMnz8fly9fxsMPP1yrcf5VTpEFL/5wFFvPOFdlsDucM8WWwA69yQaVQoboQC0CtAqo5DKYbQ5IAOyihAoWR3IpTdJY7CLC/StfSryxsTlELNp0Dj8dSoNDlBCgU7r1LpIkCcUWOwpKgGyDBQKAGA8SMaIkIafIgh7xIRja9sZeXYuIiMo3ePBgDB8+HM8991yl5d555x2sW7cOmzZtqqPIiIiIqDGqURKmMnq9HvPnz8eHH36IgoKC2joNAGD8+PHIycnBrFmzkJmZic6dOyMpKck1WW9ycjJksqu9QQoKCvDII48gMzMTQUFB6NatG3bs2IF27drVapzXyi224LnvD2PfpQJIADQKmduwGFGSYLWLuJxXgrhgLXzVChSabBAAOESpysNoZAJgMFU8MW+B0YpTmUUw2x3QKORoE+GHIB+VF66wfkiShA83n8P3B1Lhr1HAX1t2zhdBEOCnUaJVuBInMwzINFggCAJigqo+sa4oSUgvNCPcX4Onh7aEQn7z9TYiImoMtmzZgvj4+OuWO336NLZu3Vr7AREREVGjVu0kjM1mQ35+vmsulr8qKirCe++9hwULFtTpMs7Tp0+vcPjRli1b3N7/5z//wX/+8586iKpiH24+h9MZRZDLBCgEoUxCRSYIUMkBq0NCSoEJYX6qa0fTQJRQ6ZAkhyhBEARolHIUlLM60rnsIqw5nIGNp5yrJ5XW569VYkibMIxMjEKrcD/vXXAd2XE+Dz8dSq8wAXMtmQC0DvfDqcwiZOrNUMicS3tfr0eMyeZAbpEF4f4azB3dAfGhtTvvERFRfbM7RKQUmJBvtECSAB+1AvEhPtCqrtMtsxGx2WxuP+gQEREReaLKSZjz58/j6aefxoYNG2Cz2SCXyzFixAi8//77rl+QFi9ejFmzZiEvLw+SJKF58+aVLmN9s0otKMGOc3kI0Clh0juuzlXyF8KVRIzFLqHEJkIuE+C4shyyWEkWxiFKsIkSgnVKyAQBf80pbD6VjXfWn0ZhiRU+agXC/dXOukUJBrMd3x9Ixe8ns/HM7a0wpIENs/nlSDpsDhHh/lWbRFkhF9Amwhens4qhN9lgc4jw1Sjgq1ZAIRNcCRmHKMFkdUBvskEQBPRqFoKnh7RCHCfjJaJGyu4QsfdSAZKOZ+BQciGMVjusduewWYXMmeRvGe6LYe0jMKBVE/iqa61z7Q3h6NGjCAkJqe8wiIiIqIGr0h1Tbm4u+vXrh+zsbEiS8wbMbrdjzZo1OHbsGA4dOoRp06Zh1apVkCQJkZGRePnll/Hwww9DoWjcN2We2HwqG8UWO6KDNMgrLp1At3yCIEAmSDCa7ZDLAJkkwOaQYJckCA7RlSiQJAmiBNhFEYCAYJ0SYX5qGMx2hPpeTUjsuZiPt5JOwWR1lJkHRSEXEOyjQpBOiSyDBW//dho+agV6N2sYN52Xco3Yd7kA/prqfeYUchkiAzRwiBL6Ng/Fvsv5yCmyQpQkt95HWqUcXeKCMLJTJAa3CeMQJCJqtE5nFuH9jWdxPF0Ph0OCTi2HTiVHoNb5d88uSjDbHDhwuQD7Lxdg6Y5LeHRgM9zaOqxBTFI+depUt/fbt28vs62U3W7HiRMncOjQIYwePbouwiMiIqJGrEpPq++99x6ysrIQEhKCGTNmoFOnTjAYDFi7di2++eYb3H777di9ezcUCgVeeOEFzJw5E1pt1efXuNlk6M0AnEOOArRK6E02SBLK9FgpJZMJECUJaqUcJRYHNEo5gnQKFJrssDokABIkAHIB8FMrEeKrQqBOiUyDBfEhPkiMCQDg7D3zybbzzgRQoKbCG2VBcA7LSSs049M/LqBHfDDklY19ukEcTi1EicWB6KDqT0QcoFUiQ2/Gbe3CMeO2VjibXYzLeUaYbQ4o5DJEBWrRLNTHowl8iYgaCkmS8NOhdPx363kYzHY08VNBU85M8Ao5oFHKEahz9pjJ1Jvx6toT2HupAE8PbQm14sYeprR06VLXfwuCgHPnzuHcuXOVHhMVFYXXX3+9liMjIiKixq5KSZikpCQolUps27YNbdu2dW2fMGECYmNj8fbbb0MQBKxatcq1TDRVrLQ3EQAE6pRI18tgE0Uor0l0lH3QFxCkVcJodiBYp0RsiA6RDhFGix2i5BzRpFbKoVXKIAgCLHYRDlHCnZ0iXT02DqYU4nyOESE+qusmEgRBQIivCudzinEwuQDd44O9dfm1pthihyCU13bXJ5cJgAQYLXYE+ajQMyEYPRNu/GsmIvKm7/an4uMt5wEBiAmqOFl/LWeiWoMisw0/H0qHxebAzDvaQnkD9xb84osvADi/j6dOnYp+/frhoYceKresSqVCTEwMevfuDaWy8rnGiIiIiK6nSkmY8+fPo0+fPm4JmFL/+Mc/8PbbbyMxMZEJmCoK9XP21JAkCTIBCNQqkKk3w3JNbxiFTIBCLoNccK7Eo5AJsNgdCPZRwiEBZpvjyq+QZVcysthFZBks6BoXiDs6Rrq2/3kuF1a7WOWJFLVKOXKLLNh+NrdBJGHkNeihIklXehM1gB4/RES14UByAT794wJkAhDqV7V5ta7lp3HOQ7bhRBaaNfHFg72b1kKU3jFp0iTXf8+ZMwe9e/d220ZERERUW6qUhCkuLkbTpuXfTJVuLy9BQ+Ub2KoJvt2TDIPZhsISOwpKrHD2ZZFcvVpsDgk20XElCQOo1Ao0b+KHGbe3xvKdl7H/cj4ECAj0UUKjdP7aaLGJKCixQZIkdIsLxOzR7d0mSswpslQ45KkiMkFAdrHFa9demwJ1KkhwTqJb3WSK1SFBIRca9PLcRESeKrHa8cHGsyixOhAdWP0hnaV81AqYbA58vfsyeiUEo2UDWGXv0qVL9R0CERER3USqlISRJKnc5agBuJZrVKur/6vZzapFmC86xwZi3bEM2OwiFHIZdCoBDgmwOZzDiETnVC+wS865Xh7s3RSTb4lHmJ8G7SL9seFkFtYeTse57GLkF4sAAKVChpbhvhjVKQq3tw+HTuX+z+tJz3AJzl45DUGfZiEI1qlQWGJDiG/1kikFRiuiArRIjAmsneCIiG5gG09m41x2McL91TWe9yrER4WUAhNW7UvFi3c27B9oLl68iCNHjqBp06bo3LlzfYdDREREjQCXLqonQ9qGYc3hdIhwrjQtCAIUAqCQySFKzt4czmSMhECdEkPahiPsyjAmrUqO0YlRGNkxEiczDcgrtkKC88a3XaQ/ZBUkTWKCdM5hN5JUpZts6cpy2DFBDWOS5QCdEkPbhuPbfckIlpRVfpAQRQk2h4SRiZFQKW7cOQyIiGqDJElYcyQdMghemcdFEAT4aRTYfi4H2YYEhPl73rOmLvz8889YunQpXnjhBfTs2dO1ff78+fj3v/8NUXT+0DFp0iQsWbKkvsIkIiKiRqLKSZjvvvsOW7ZsKXefIAgV7hcEAefPn/c0vkZr/+VCBOiUsNhFmKwOSJAgFwDAuRKSBOeS0VGBWpisDiQdy0S3pkFudchkAtpHBVT5nLe2CcPKvSkottjhp7n+5ILFFge0KjkGtwmv3sXVozs6ReK3E5nIMliq9IuuJEnI0JsR7q/GbW0bznUSEXlLWqEJF3OM8Nd573eZAK0SaQVmHEwpxLD2EV6rtzZ8+eWXSEpKwrJly1zbTp06hRdeeAGCICAxMRFnz57FsmXLcPfdd2PUqFH1GC0RERE1dFW+4youLkZxcXG193M537LsDhE7z+ciQKtEkE4Fg9mG/GIrSmwOSBKgkcsQ5KNCkE4FpVxAvtGKnedzYXeIrpWOKmO2OZB7ZR6XUF+1a3nR5k180SUuCNvP5UCnUlQ6b4ooSigwWtG3RSiaN/HxzoXXgRZhvphxWyu8lXQKmXpnIqainkEOUUKm3gw/jRIv3tn2hv+1loioNlzIMcJkcyBQ572Vf2SCAEEALuYavVZnbTl48CASExPh53d1/pqvv/4aAPDRRx9h2rRpOHXqFDp16oRPPvmESRgiIiKqkSolYUqXciTvMNtF2EXnikeC4PzFMEBb8c2vQibALkow2RzwqyQJk5xXgnXHMrD+eCYMZjsAwF+jwO3tI3BHh0jEhejw5OAWuJRnRFqBCREB6nK7ntscIjL1ZsQEO8s3tETakLbhkMsEvLfhDNIKzVDKBQTqlK5rtdpFFJbY4JAkRPhr8O8726JrXNB1aiUiapwyDWYI8P7qcAKc30s3utzcXHTp0sVt25YtW6DVajF58mQAQJs2bdCvXz8cP368HiIkIiKixqRKSRgu2+hdGoUMCpkAq0OsUnm7KEEpl0GrrHhp6T/O5uDtpNPIN1qhUcqgu7IMtd5kw/Kdl/HLkQw8N7w1+rdsgjfu7ohX1h7HxRwjIAB+amevGIcooehK8qZZE1/MHtUeTUMaTi+Yaw1qHYZ2Uf7YeDIba4+kI73QDPuV9lbKZWge5otRiZG4tXVYuct8ExHdLByiVCv1CoIzqX+jM5vNbosPOBwOHDhwAL1794ZKdfX7ISoqCrt27aqPEImIiKgR4cS89UAhl6Fns2D8diwLwVXIcRgtDgzrEFrhUKQjqYWYt+4Uii12xARp3Hqu+KgVV+Y9sWDeulMIGKtEp5hAfPxAN/xxNgdrDmfgXE4xbDYRMpmAjtEBGJUYhQGtmsBH3bA/HmF+GkzoGYdx3WJwOrMIRWY7ZALgr1WiVbif13/1JSJqiLRKOSSgypO2V5UoAr6aG/97JCwsDGfPnnW937VrF0wmE2655Ra3ciaTCT4+DfOHCSIiIrpxcCmYenJHB+dKPMUWe6Xlii12qBQyjOgQWWGZr3Ylo9BkQ2RA+RPRCoKAyAA1Ck02fL07GYAzOTO8QyQW3d8F3z7SG8um9sS3j/TGhw90xYiOkQ0+AXMtpVyGDtEB6NM8BL2ahaBtpD8TMEREV8QGayEXnMNevUoAmoXe+EmLvn374vDhw/j222+h1+vxxhtvQBAEDB061K3cyZMnERUV5fF5PvzwQ8THx0Oj0aBXr17Ys2dPhWWPHz+OsWPHIj4+HoIgYMGCBWXKzJkzB4IguL3atGnjcXxERERUN5iEqSdd44Jwa5smKDDaKkzEFFvsKDDacGvrJuhWwZwlF3KKcTC5AEE6RaW/YAqCgCCdAgcuF+BCTrH7dh8VogK1CPJRNbj5X4iIqGaahfpCp5LDaHF4rU6bQ4RMENCsia/X6qwtzz//PBQKBR544AEEBwfj119/RdeuXTFgwABXmZSUFJw6dQo9evTw6BwrV67EjBkzMHv2bBw4cACJiYkYNmwYsrOzyy1fUlKCZs2a4c0330RERMWrS7Vv3x4ZGRmu1/bt2z2Kj4iIiOoOkzD1RCYT8K/b22BYh3AYLXak5JuQb7Qip8iC9EITLuYaUWy2Y1j7cPxrWJsKV/g5nVmEEqsDvlXoueKrVqDE6sDpzCJvXw4RETVQQT4q9GwWjGJz5T0zq6PAaEO4v7pBTHretWtXrFu3DgMHDkTbtm0xefJkrF271q3MqlWrEBAQgCFDhnh0jvfeew+PPPIIpkyZgnbt2mHx4sXQ6XRYsmRJueV79OiB+fPn47777oNara6wXoVCgYiICNcrNDTUo/iIiIio7jSeMScNkFYlx4t3tEP/lk3w6bbzOJyih80hQgKgU8kRH+KDbnFBUCkqzpVZHSIEoWpLgQtXlgyt6oTARER0c7izYxS2nclFscVepaR+ZewOERa7iBEdIqFVVTyh/I1kyJAhlSZYnnnmGTzzzDMe1W21WrF//37MnDnTtU0mk2Ho0KHYuXOnR3WWOnv2LKKioqDRaNCnTx/MmzcPcXFxNaqTiIiIahd7wtSzghIrVu5JQXKeCaG+KrSK8EOHaH/EBeuQrjfh7d9O481fT1W4woS/VgkBcK38Uxm7Q4Rw5RgiIqJSPeKDMKBVKPKLrTVaLUmSJGQZLEgI1WFstxgvRthw5ebmwuFwIDw83G17eHg4MjMzPa63V69eWLp0KZKSkvDxxx/j4sWL6N+/P4qKyu/tarFYYDAY3F5ERERU95iEqUeiKOG1tSdxJK0QYf5qRAZq4atWQK2Qw0etQHSgFn5aBX49loEvd1wqt44e8cEI8VWjsMR23fMVltgQ6qdGj/hgL18JERE1ZIIg4IlbWyAmWIf0QjNEqfqJGEmSkFNkgVYlx/TBLRHAhH+tGjFiBO655x506tQJw4YNw7p161BYWIhVq1aVW37evHkICAhwvWJjY+s4YiIiIgI4HKleHUotxOHUQoT6qioccuSrVsBsc+Cnw+kY1z22zE2tr1qBYe3D8dWuy7DaxQrrsdpFmGwixnYLr3FXcyIianzC/DSYO7o9XvrxGNIKzAjzV0NdyXDYazlEZw8YtUKG/xvSEr2bhdRytJ4bPHgwBEHAsmXLEBMTg8GDB1f5WEEQsHHjxmqdLzQ0FHK5HFlZWW7bs7KyKp10t7oCAwPRqlUrnDt3rtz9M2fOxIwZM1zvDQYDEzFERET1gE/j9WjD8SxY7SK0SlWl5QJ1SmTqLfjjbA5Gdiq7POYDvZviaJoBh1IKEKRTwld9daUkSZKcqyyV2NA5NggP9G5aK9dCREQNX9tIf7w1thPe+e00jqXroVLIEKRTQikvPxkjShL0JhuKzHZEBWgxfXALDGodVsdRV8+WLVsgCAJKSkpc76vKkxUEVSoVunXrho0bN2LMmDEAAFEUsXHjRkyfPr3a9VWkuLgY58+fx9///vdy96vV6kon+SUiIqK6UaUkzJdfflmjk0ycOLFGxzdWF/OMUMqF697UKWQyCAAyCs3l7vfXKDHv7o54Z/1p7LqQh9QSE2RX6hQlCTqVAkPahOOZ21vBX8Pu4UREVLEWYb5YcF9nrN6fih8OpCLbYIEoAUqFAJXc+X1kFyVY7CIgAX5aBe7qHI2ptySgid+N/5C/efNmAHBNYFv6vjbNmDEDkyZNQvfu3dGzZ08sWLAARqMRU6ZMAeC8T4qOjsa8efMAOCfzPXHihOu/09LScOjQIfj6+qJFixYAgGeffRajRo1C06ZNkZ6ejtmzZ0Mul2PChAm1fj1ERETkuSolYSZPnuzRrz+SJEEQBCZhKuDNCXkCdEq8OqYDzucUY9PJbCTnO3/hiwvWYXDbMDRv4uvFsxERUWOmUcrx995NMbZrNP44m4tjaXqcSDcgu8gCCRJCNEq0jfRH6wg/DGrVBGH+mvoOucoGDhxY6fvaMH78eOTk5GDWrFnIzMxE586dkZSU5JqsNzk5GTLZ1buC9PR0dOnSxfX+nXfewTvvvIOBAwe6eu6kpqZiwoQJyMvLQ5MmTdCvXz/s2rULTZo0qfXrISIiIs8JknT92ffKS8IUFBTg559/BgB06tQJCQkJAIBLly7hyJEjAIBRo0YhKCgIX3zxhbfjrncGgwEBAQHQ6/Xw9/f3qI7/bDiD7/anICZIW2mSy+YQkW2w4MU722F4B++NHyciIqqu0h9YvMUb36dUfWx3IiIi76jud2qVesIsXbrU7X1BQQF69uyJXr16YfHixUhMTHTbf/jwYTz++OM4ceIEdu3aVfXobzK3tQvHmiPpMFodlU6WW2C0oYmfGv1bhtZhdERERGV5MwFDREREdLPxaGLeWbNmIT8/H3v37kVgYGCZ/YmJiVi7di2aN2+OWbNmYdGiRTWNs1FqH+WP3s1CsPV0NhQyARqlvEwZvckGuyjhnu6x8OGqRkRERDUydepUj48VBAGff/65F6MhIiKim02VhiP9VdOmTdG9e3d8//33lZYbO3Ys9u3bh8uXL3scYFV9+OGHmD9/PjIzM5GYmIiFCxeiZ8+eFZZfvXo1Xn75ZVy6dAktW7bEW2+9hTvuuKPK5/NWN169yYZX1hzHnov5AIAArRJymQCrQ4TBZIdKIcPYrtF4fFALyGT89ZGIiBqXuh4Wc+3cK9e6dlXBirYLggCHw1G7AdYRDkciIiLyjloZjvRXWVlZFd7EXEsQBGRnZ3tyimpZuXIlZsyYgcWLF6NXr15YsGABhg0bhtOnTyMsrOxSmTt27MCECRMwb948jBw5EitWrMCYMWNw4MABdOjQodbjvVaAVonX7+6I9SeysPZIOi7mGCFKEpRyGQa2boI7O0aib/MQdv8mIiLygvLmqdu7dy8++ugjRERE4N5773Wb52716tVIT0/H448/jh49etR1uERERNTIeNQTJj4+HsXFxbh06RJ8fctfdaeoqAgJCQnw8fGp9Z4wvXr1Qo8ePVzDnkRRRGxsLJ588km88MILZcqPHz8eRqMRa9eudW3r3bs3OnfujMWLF1fpnLXxC5IkScg0mGG2ifDTKBDqe+Mv9UlERFQT9d0j49ixY+jZsyemTp2Kd999F2q1+3ev1WrFM888gyVLlmDXrl3o2LFjncdYG+q73YmIiBqL6n6nerRK8pgxY5Cfn49Ro0bh9OnTZfafOXMGY8aMQUFBAe6++25PTlFlVqsV+/fvx9ChQ13bZDIZhg4dip07d5Z7zM6dO93KA8CwYcMqLA8AFosFBoPB7QUAZ7IMrjJns4qQXmgCAJhtDhxL06PYYgcA5BRZcCL9atnzOcVILXAuI21ziDiWpkeRxY7IAC38NQpk6s2ushdzjUi5suS0Q5RwLE0PfYkNAFBgtOJYmt7VffpynhGX84wAnEmdY2l6FBitAAB9iQ3H0vRwiM6yKfkluJhrdJ3nWJoeecUWAIDB7Cxrc4gAgNSCEpzPKXaVPZFuQE6Rs2yxxY5jaXqYbc4u2umFJpzNKnKVPZVpQLbBeT0lVveymXozzlxT9kxWETL07m1ovNKG2QYzTmZcbcNz2UVIu9LeFruzbJHZ5mrv4+l6t/YubcPS9tabnGXzii04lna17MVcI5Lz3Nu7sMTZhoUlzvYWr7Rhcl4JLv2lDfP/0t72K22Ykl+CC9e04fF0PXKvtHfRlfa22p1l0wpNOJd9tezJDAOyi5xtaPxLe2fo3dv7dGYRsq60t8nqbBeT1Vk2y2DG6cyrZc9W1t5Ff23vYld7W+2iW3vnFru394Vr2tte2t5XPrP5Vz6zpS5d095iBe3tuKa9K/rM6k3un9mUfPfP7PF0veszW9reFrvjmva+2i4nM65+Zstr779+Zkv/fy1twxLr1c/sqUzv/Y0wmCv+zPJvBP9GNOS/EfVpzpw5iIyMxAcffFAmAQMAKpUK77//PiIiIjBnzpy6D5CIiIgaFY+SMLNnz0aLFi2wdetWtG/fHj179sT48eMxfvx49OrVC+3bt8fmzZvRvHlzzJ4929sxu8nNzYXD4UB4eLjb9vDwcGRmZpZ7TGZmZrXKA8C8efMQEBDgesXGxgIAHl1+wFXmyW8O4pNtF5zn0JsxcuF2HE113nT+70AqJnx6daWoZ1cfxsKN5wA4H5JGLtyOfZec88L8cjQDf/toh6vsSz8exdu/OZNdJVY7Ri7cju3ncgEAv5/MwsiF210PTa+uPYFX154AANjsIkYu3I5fjmZAkiRsP5eLkQu3ux4Q3/7tNF768ajrPH/7aAd+OZoBANh3KR8jF253PZwt3HgOz64+7Co74dNd+N+BVADA0VQ9Ri7c7noQ/WTbBTz5zUFX2clL9uLr3ckAgLNZxRi5cLvrwW7Zzkt45Mt9rrKPLt+PL/68BABIzi/ByIXbcerKA8HKvSmYuGSPq+xT3x7C4i3nAQDZBgtGLtyOwynO9v7pUBrG//dqez//3REs+P0sAMBgsmHkwu2ueXiSjmfirg//dJWd9dMxvJl0EoDzwW3kwu3YeiYHALD5dDZGLtwOm+h8aHh93QnMXXPcdezIhdux/rjzc7TzgrO9Sx+y311/GjP/d7W9x328E2sOpwMADiQXYuTC7cgzOh+4Fm06hxmrDrnKPvDZbqze52zvExkGjFy43fWw89kfF/H411c/h1OX7sXync7eZ+dznO1d+nC8fOdlTF2611X28a8P4LM/LgJwPtSNXLgdJ648VK3el4oHPtvtKjtj1SEs2uT8zOYZne19ILkQALDmcDrGfXw1iTnzf0fx7nrnZ7bY4vzM7rzg/MyuP56JkQu3u8rOXXMcr6+78pkVnZ/Zzaedwxi3nsnByIXbXcmSN5NOYtZPx1zH3vXhn0i60t57Ljo/s4YrD84Lfj+L57874io7/r+78NOhNADA4RTnZzbb4GzvxVvO46lvr7b3xCV7sHJvCgDgVGYRRi7cjuQrD4xf/HkJjy7f7yr7yJf7sGznJQDOh/ORC7fjbJazvb/enYzJS6629432N8IhShi5cDt+P5kFAPwbwb8R9fY3oj5t27YNvXr1qnSYtUwmQ69evfDHH3/UYWRERETUKEkeysrKksaNGyfJ5XJJEAS3l0wmk8aOHStlZmZ6Wn2VpaWlSQCkHTt2uG3/17/+JfXs2bPcY5RKpbRixQq3bR9++KEUFhZW4XnMZrOk1+tdr5SUFAmAtPdMiqvMmUyDlFZQIkmSJJmsduloaqFUZLZJkiRJ2QazdDxN7yp7LrtISsk3SpIkSVa7QzqaWijpTVZJkiQpt8gsHU0tdJW9kFMsJec5y9odonQ0tVAqNDrL5hdbpKOphZIoipIkSdKl3GJp/6U8afnOS9J9/90hDXx7kzT03S3SQ0v3SF/vuiTtPJ8r2R3Ossl5RulCTrHrPEdTC6XcIrMkSZKkN1mlo6mFktXukCRJklLyjdK57CJX2eNpeinb4CxbZLZJR1MLJZPVLkmSJKUVlEhnMg2usicz9FKW3iRJkiQZLe5lMwpN0ulryp7ONEjphe5tWHylDbP0JulE+tU2PJtlkFKvtLfZ5ixruNKG2QazdCztahueyy5ytWFpexeWVNzel3Pd27vAaJEkSZIKjM72dlxpw8u5RuniX9owr9hZttDobEPblTZMzjNK569pw2NphVLOlfY2XGlvi81ZNrWgRDqbdbXsiXS9lGVwtmHxX9o7vdC9vU9lGKTMK+1dYnG2S4nFWTZTb5JOZVwte6ay9jb8tb2LXO1tsTnc2junyL29z1/T3rbS9r7ymc278pktdfGa9nZU0N72a9q7os9sYYn7ZzY5z/0zeyyt0PWZLW1vs81+TXtfbZcT6Vc/s+W1918/sxmFJrc2NFqufmZPZlxtwxvlb8SlXGcbiqKzbP5fPrP8G8G/EaXq4m9EXn6BBEDS66/WVZc0Go00fPjw65YbPny4pNVq6yCiuqHX6+u13YmIiBqL6n6nejQnzLVSU1Oxbds2pKY6f4GLjo7GgAEDXD1FapvVaoVOp8N3332HMWPGuLZPmjQJhYWF+Omnn8ocExcXhxkzZuDpp592bZs9ezZ+/PFHHD58uEz58tyoY6kPJBfgtbUnkGWwQCkXoFPJIQEwWhwQJQktwnzxyugOiAvR1XeoRERE9f592rFjR5w7dw6HDx9Gq1atyi1z+vRpJCYmomXLljh69Gi5ZRqa+m53IiKixqJO5oS5VkxMDO6//34899xzeO655/DAAw/UWQIGcI7V7tatGzZu3OjaJooiNm7ciD59+pR7TJ8+fdzKA8CGDRsqLN9QnMsuxtyfjyOnyILoQA0iAjTw1yoRoFUiKlCDcH81zmYV4eWfjrmGEBAREd3MHnroIVgsFgwaNAiffvopSkpKXPtKSkrw2WefYciQIbDZbHjooYfqMVIiIiJqDGqchAGcvVEyMjKQn5/vjeqqbcaMGfj000+xbNkynDx5Eo899hiMRiOmTJkCAJg4cSJmzpzpKv/UU08hKSkJ7777Lk6dOoU5c+Zg3759mD59er3E7y3f7U9BTrEFkYEayGRll7RWymWIDNDgXHYxfjte8fw3REREN4snn3wSd911FzIzM/Hoo4/Cz88P4eHhCA8Ph5+fH/7xj38gPT0do0aNwv/93//Vd7hERETUwNUoCfPVV1+hZ8+e8PHxQUxMDJ599lnXvh9++AH3338/Ll68WOMgr2f8+PF45513MGvWLHTu3BmHDh1CUlKSa/Ld5ORkZGRkuMr37dsXK1aswCeffILExER89913+PHHH9GhQ4daj7W25BRZsPVMDvw0CsiEsgmYUgq5DEq5gLVHMup9RQoiIqL6JpfL8b///Q8LFy5Es2bNIEkScnJykJOTA0mSkJCQgA8++AA//PBDpZP3EhEREVWFx3PCPPzww/jiiy8gSRJ8fX1RXFyMyZMnY8mSJQCA48ePo2PHjnj77bfdkjONxY02lnr3hTw8+91hhPupoZBXfpNotNhhtolYNrUnogK1dRQhERFRWTfa92l6errbPHfR0dH1HFHtuNHanYiIqKGq7neqwpOTfP3111iyZAk6duyIJUuWoGvXrpDL5W5l2rdvj5iYGPz666+NMglzo7GLEiCh0l4wpQQBkADYHe75N7PNge1nc3E6qwhWuwh/rRJ9moWgbaQfhCrUS0RE1NBFRUUhKiqqvsMgIiKiRsqjJMwnn3wCX19frF27ttJJeDt27IiTJ096HBxVXRM/NVQKGUw2B3zUlf+zmm0iNAoZgn1VAABJkvDDwTR8sycZmXozJGc+BwCwYvdltI8KwJODW6BluF8tXwURERERERFR4+XR4ObDhw+jV69e110FKTg4GFlZWR4FRtXTMswXbSL8UFhiq7ScJEkwWhwY1LoJfNUKSJKEz7dfxPu/n0VOkQVh/mrEBGsRG6xFTJAGOpUc+y/n4/nvj+BkhqGOroaIiIiIiIio8fGoJ4zFYkFAQMB1y+Xk5JQZpkRlSZKEM1nF2HMpH0aLHRqFDImxgUiMCSx3laPyCIKAMV1icDzdgMISGwJ1ynLPk11kga9GgTs7Obta77yQhxV7kqFRyRCkU5Wp00etgFYlR1qBGa//chKfT+4OtYL/pkRERERERETV5VESJjo6+rrDjCRJwokTJ5CQkOBRYDeLM1lF+GjzeRxL18Nsc7i2K+UytAz3xSP9m6FHfHCV6hraNgznsovw7d4UlBTaEeSjglYphyRJKLE6UGC0QauS48nBLdA20jlh0NrD6bDYRYT5VTxBr0wQEO6vRnJ+CXacz8OtrcNqdtFERERERERENyGPhiMNGTIEp06dwk8//VRhmeXLlyM1NRW33Xabx8E1dsfS9Hj+uyPYeykPGqUM0YEaxARpER2ogb9GgRPpBrz84zFsO5NTpfoEQcCjA5vjuWFt0CLMDwaTDSn5JqQWmFFidaBr0yC8clcHjLzSCyat0IR9lwsQoLl+Lk6lkEGUJKw/nlmjayYiIiIiIiK6WXnUE+bZZ5/F8uXLcf/99+P111/Hvffe69qXn5+PVatW4dlnn4WPjw/+7//+z2vBNiYmqwNvrDuJnGILooO0bqsaCYIArUqOaKUGGXoL5v92Gq3C/RARoLluvYIg4M5OkRjeIQKHUgqRZTBDJgBNQ3zQJsJ9laNsgxkWmwg/P1UlNV6lVsiQWmCq/sUSERERERERkWc9YVq2bIlly5ZBFEU888wziI2NhSAIWLZsGZo0aYInnngCdrsdS5cuRVxcnLdjbhS2n8tFSn4Jwv3VFS4rLQgCIgLUyDdaseFk9SY4lssEdGsahDs6RmJ4h0i0jfQvs8y0IAhANVaellCt4kRERERERER0DY+SMABwzz33YO/evbjnnnvg5+cHSZIgSRI0Gg1GjRqFnTt3YuzYsd6MtVFZf8I5rEcpr/yfQCYIUCoErDuSAUmSKi1bXVGBGmiVchgt9iqVt9pENA/z9WoMRERENyqTyYTDhw8jLy+vvkMhIiKiRsLjJAwAdOjQAd9++y0KCgqQnZ2NzMxMFBUV4ccff0SXLl28FWOjlF5ggkpRtebXKuUoNFlhtolejSHMT4NbWoSiyOy4boLHbHNALhcwrH2EV2MgIiKqT3/88QdmzJiBw4cPu21fsWIFwsLC0LVrV0RGRuKVV16ppwiJiIioMalREqaUIAgIDQ1FWFgYZDKvVNnoyWUCqtqvRZKcw4Bqo2nv6hwFH7UcOUXWChMxdlFETpEFbSL80L1pkPeDICIiqieffPIJFi1ahOjoaNe2lJQUTJ06FUajEQEBAbDb7Zg7dy62bt1aj5ESERFRY+DRY/3UqVMxbdo0XLp0qdJyn3/+OaZOnerJKRq9VhF+sFSxZ4vRYkdciA9U1xm65IlOMYGYPrglZDIBaYVmlFjtrmSMKEooMFqRXmhGs1BfvDyyHRS1EAMREVF92b17NxITExEaGuratnz5clitVsyZMwf5+fmu5MtHH31UX2ESERFRI+HRE/XSpUvx+eefo2/fvjhw4ECF5bZv345ly5Z5HFxjNrx9BFQKASaro9JyNocICcDITpFlJtb1ltGJUZgzqj06Rgeg2OxAWqEZaQUmpBeaIZMJuCsxGu/cm4iYIF2tnJ+IiKi+5ObmIiYmxm3bpk2boFKpMGPGDABA//790bt3bxw8eLA+QiQiIqJGxKMlqgEgJCQEmZmZGDRoEFauXIkRI0Z4M65Gr0tcEBJjgrDnUj4i/NXlzg/jECVk6i1oHuaDQa3DajWefi1DcUuLEBxN0+NUZhFsDhH+GiV6NQtGmN/1l8YmIiJqiIqLi6HVal3vJUnC3r170b17d/j6Xp2MPj4+vsy8MURERETV5fHYkpEjR+KTTz6ByWTCXXfdhc8++8ybcTV6cpmAl0a2Rcdof2QZLMg2mGG1ixAlCTaHiNxiC9IKTWgaosOcUe3hq/Y4X1ZlgiCgU0wg7u0eiwd6NcWoxCgmYIiIqFELDg52G1598OBBFBUVoW/fvm7lbDYbVCpVHUdHREREjU2NJvh4+OGH8dNPP0GlUuEf//gHZs2a5a24bgqhvmq8PS4Rj/RPQKivBnlGK9IKzMgpssJHpcCDvZrivXs7o1kTLgtNRERUG3r06IE9e/Zg586dAID3338fgiBg8ODBbuXOnj2LyMjI+giRiIiIGpEad6+44447sHXrVowcORKvv/46kpOT8fnnn0Mul3sjvkYvQKvE5FsScF/POBxP16PY4oBWKUfbSD/4aZT1HR4REVGj9tRTT2HdunXo168fAgICoNfr0axZM9x+++2uMrm5uTh69Cjuu+++eoyUiIiIGgOvLHXTrVs37Ny5E61atcLy5csxYsQIFBcXe6Pqm4ZGKUe3psEY2KoJeiYEMwFDRERUB4YOHYolS5agadOmsFqtGDhwINasWQOZ7Oot0vLlyyGKIgYOHFiPkRIREVFj4LWJRuLj47Fz506MHj0av//+O/r164fw8HBvVU9ERERUKyZNmoRJkyZVuP/RRx/F1KlT3SbqJSIiIvKEV2d7DQwMxO+//46///3vWL16da0tqUxERERUV7RardsKSkRERESe8mg4UlxcHEJDQ8vdp1KpsHLlSsyYMQOSJNUoOCIiIiIiIiKixsKjnjDXLuVYkXfeeQdPP/00HA6HJ6cgIiIi8rqpU6eW2SYIAj7//PN6iIaIiIhuNl4djvRXMTExtVk9ERERUbUsXbq0zDYmYYiIiKiu1GoShoiIiOhGsnnz5voOgYiIiG5iVUrCDB48GIIgYNmyZYiJicHgwYOrfAJBELBx40aPAyQiIiLyFi4zTURERPWpSkmYLVu2QBAElJSUuN5XVW2vkJSfn48nn3wSa9asgUwmw9ixY/H+++9XuozkoEGDsHXrVrdt//jHP7B48eJajZWIiIhuLDabDUqlskplL1y4gGbNmtVyRERERNSYVSkJU9p1Ny4uzu39jeCBBx5ARkYGNmzYAJvNhilTpmDatGlYsWJFpcc98sgjeOWVV1zvdTpdbYdKREREN5iJEyfim2++uW651NRUDB06FBcuXKiDqIjoZlBcXIz58+dj9+7d2LNnDwoKCvDFF19g8uTJFR5js9mQmJiIkydPYv78+Xj22WfrLmCiK/bu3Ytly5Zh8+bNuHTpEkJCQtC7d2+89tpraNWqlVtZURTx3//+F//9739x+vRp6HQ6JCYm4j//+Q8SExPr6QrqV5WSMH/tunujdOU9efIkkpKSsHfvXnTv3h0AsHDhQtxxxx145513EBUVVeGxOp0OERERdRUqERER3YBWrlyJhIQEvPHGGxWWyc7OxtChQ3H58uU6jIyIGrvc3Fy88soriIuLQ2JiYpVGGyxcuBDJycm1HxxRJd566y38+eefuOeee9CpUydkZmZi0aJF6Nq1K3bt2oUOHTq4yk6dOhVff/01Jk6ciOnTp8NoNOLgwYPIzs6uxyuoXzJPDkpOTkZ+fv51yxUUFNTqH4mdO3ciMDDQlYABgKFDh0Imk2H37t2VHvv1118jNDQUHTp0wMyZM11DrYiIiOjm0bt3b7z11lv47LPPyt1fWFiI22+/HWfOnMFjjz3m8Xk+/PBDxMfHQ6PRoFevXtizZ0+FZY8fP46xY8ciPj4egiBgwYIFNa6TiG48kZGRyMjIwOXLlzF//vzrls/OzsYrr7yC559/vg6iI6rYjBkzcPnyZXzwwQd4+OGH8dJLL+GPP/6A3W7Hm2++6Sq3atUqLFu2DKtWrcLnn3+Ohx9+GE899RSWLl2K2267rR6voH55lIRJSEjAv/71r+uWe+6552p17HRmZibCwsLctikUCgQHByMzM7PC4+6//3589dVX2Lx5M2bOnInly5fjwQcfrPRcFosFBoPB7UVEREQN288//4yEhAQ8/vjjWL9+vds+o9GIESNG4MiRI5g4cSIWLVrk0TlWrlyJGTNmYPbs2Thw4AASExMxbNiwCn8FLCkpQbNmzfDmm29W2Gu3unUS0Y1HrVZXq2f+Cy+8gNatW1/3uYWotvXt2xcqlcptW8uWLdG+fXucPHnSte29995Dz549cffdd0MURRiNxroO9YbkURJGkiRIklTlstX1wgsvQBCESl+nTp2qdr2lpk2bhmHDhqFjx4544IEH8OWXX+KHH37A+fPnKzxm3rx5CAgIcL1iY2M9Pj8RERHdGEJDQ7Fu3Tr8f3v3HR5F9fUB/DvbUze9kkBIaKF3g0hoQhAQpBhApKioKJaXYteIDRBEECw/GyBFEAtNRCB0CJ1QQ01CSC8km7p17vvHsitLNj3ZkpzP8+SBzNzZOXN3sjNz9hYXFxc8+eSTuHjxIgBAqVRixIgROHHiBMaOHYtVq1bVeh9Lly7FjBkzMH36dISHh+O7776Do6Mjfv75Z7Ple/bsicWLF2PChAmQSqX18pqEEPt28uRJrFmzBsuWLWvwiU8IqQ3GGLKysuDl5QUAKCwsxMmTJ9GzZ0+88847kMvlcHZ2RsuWLfHbb79ZOVrrqlUSprqKiorKZciqY86cOUhISKj0p2XLlvDz8yv3jY9Wq8Xdu3drlFXu3bs3AODmzZsVlnn77behUCiMP3fu3KnxcRFCCCHE9rRu3RpbtmyBSqXC8OHDkZSUhLFjx+LgwYMYOnQofv3111o/9KjVapw5cwaDBw82LhMIBBg8eDDi4uIs9prUopcQ+8UYwyuvvILo6GhERERYOxxCzFq/fj3S0tIQHR0NALh16xYYY9i4cSN+/vlnfP7551i/fj28vb0xYcIE7Nq1y8oRW0+1BuatKZ7ncfnyZezbt884o1JNeHt7w9vbu8pyERERKCgowJkzZ9C9e3cAwL59+8DzvDGxUh3x8fEA9P0yKyKVSiv8NooQQggh9u2RRx7Bzz//jMmTJ6NDhw4oKyvDI488gj///BMiUe1vl3Jzc6HT6eDr62uy3NfXt9atemvzmgsWLMD8+fNrtT9CiHWtXr0aFy9exO+//27tUAgx6+rVq3j55ZcRERGBqVOnAtDP/gUAeXl5OH78uPH5/PHHH0dISAg++eQTREVFWS1ma6p2SxihUGj8AYA1a9aYLLv/RywWo0uXLsjLy8OYMWMaLPh27dohKioKM2bMwMmTJ3H06FHMmjULEyZMMM6MlJaWhrZt2xoHq7t16xY+/vhjnDlzBsnJydi2bRumTJmCfv36oVOnTg0WKyGEEEJs28SJE/HJJ5+grKwMPXv2xN9//w0HBwdrh1UvqEUvIfapsLAQb7/9NubNm0fDIRCblJmZieHDh0Mul+P333835gsM18+QkBCTBhLOzs4YOXIkTp48Ca1Wa5WYra3aX+3cP7YLx3GVjvUiFovRrFkzjB07tsG/dVm/fj1mzZqFQYMGQSAQYOzYsfjqq6+M6zUaDa5du2ac/UgikWDv3r1YtmwZSkpKEBQUhLFjx+K9995r0DgJIYQQYn0DBw6ssoxYLIZGo8Hjjz9uspzjOMTGxtZof15eXhAKhcjKyjJZnpWVVaOu03V9TWrRS4h9WrJkCdRqNaKjo5GcnAwASE1NBaCfiTY5ORkBAQG1GgKCkFOnTmHNmjXYv38/kpOT4enpiYceegiffPIJWrdubSw3bdo0rFmzptz2YWFhcHZ2RkFBAQ4fPmxsCAHA+P8HW20CgI+PDzQaDUpKSiCXyxvgyGxbtZMwPM8b/y8QCDBt2jSbGPzNw8MDGzZsqHB9ixYtTBJGQUFBOHjwoCVCq5M7d0tx7k4BipQaCDgOrjIxerZwh4+rzNqhEUIIIXbrwIED1Spn6Kp8v9qMCyORSNC9e3fExsZi9OjRAPT3VLGxsZg1a1aNX6+hXpMQYptSUlKQn5+P9u3bl1v32Wef4bPPPsO5c+fQpUsXywdH7N6iRYtw9OhRjB8/Hp06dUJmZiZWrlyJbt264fjx4+jQoYOxrFQqxY8//mj8Xa1W44svvsD169exd+9ehIeHm7x2QEAA/Pz8kJaWVm6/6enpkMlkcHFxabiDs2G16uQcExODrl271ncsTR7PMxxPysM/FzNxIikPpWodDLd7DICLTIS+Yd54rKMfugS50cjohBBCSA3t37/f4vucPXs2pk6dih49eqBXr17G1rjTp08HAEyZMgWBgYFYsGABAP2N7ZUrV4z/T0tLQ3x8PJydnREWFlat1ySENA6vvvqqMdlqkJ2djRdeeAHTpk3DqFGjEBISYp3giN2bPXs2NmzYYNKSKjo6Gh07dsTChQuxbt0643KRSGScHl2n02HMmDG4fv06tm7dWuGA0dHR0Vi+fDn27NmDRx99FIB+XLOtW7di4MCBEAgadJ4gm1XrJAypX0qNDsv33sCuyxnQ6BhcZCIEusmMiRaeMSjKNNh5MQP7rmbhyR5BeLZvCETCpnniEkIIIbURGRlp8X1GR0cjJycHH3zwATIzM9GlSxfs2rXL2EQ7JSXF5EY0PT3d5MuuJUuWYMmSJYiMjDS25KnqNQkh9mHlypUoKChAeno6AGD79u3G7kavvPIKunXrhm7duplsY+iW1L59+3IJGkJqok+fPuWWtWrVCu3bt0dCQkK5dTqdDiUlJfjggw+wbds2jBw5Enfv3jVJ1gAwJmvefvtt/Pbbbxg7dixmz54NuVyO7777DhqNBp999lnDHJQd4Fhlg7uQChUWFkIul0OhUMDV1bVOr6XV8fhsZwL+vZwFN0cxXGT/5cZ4pl/PM0AoAEQCARRlapSodHiyRxBmDQyjFjGEEELsVn1eT0n1Ub0TYn06nqFZcHNkppkfKDspKQktWrQotzw5ORkhISFYvHgx5s6d28BRkqaGMYagoCC0b98e//77LwD9mDC//PILHBwcUFpaCpFIVOmguvenGBITEzF37lzExsZCo9EgIiICCxcuRM+ePRv8WCylptfUWs+5mJKSggULFmDv3r1IS0uDSqUyW47juCY76nF1bTp9B3uuZMHDSQwnqf4tKVXrcLdEjfxSNfTD8TAAHMRCDp7OEsjEAvx+NhVhPs4Y1rHiqbUJIYQQUj3p6ek4ePCgsf96YGAg+vXrh8DAQCtHRghpbHZdysD87Vcgnfwtmt9b5i+XIWZkOKI6VH5v/+CYl4TUp/Xr1yMtLQ0fffSRcZm/vz/eeOMNdOvWDTzP46df/8Lebb9BGhgO30kLwAmEFZ6/LVu2xJ9//mnpw7BptWoJc/XqVTz88MMoKCio1gfA/YP6Nhb19Q1SmVqHKT+fQF6xCj6uMqi0PO7cLUWxSqtv/cJxEHAAOAAM0DEGngEiAQehgEOP5u74aWpPCATVaw1TptYhKbcEGYoy6HgGB4kQLTydEODmAGE1X4MQQgipL7bQIkOhUGDWrFnYuHFjuXsWgUCAiRMnYsWKFY1qBgdbqHdCmqpdlzIwc91ZPPgUZbgT/3ZytyoTMYQ0hKtXr6J3795o3749Dh8+bJxu+n6G87cg7jcUHPoFXiPnwSk8skmfvxZpCfPuu+8iPz8fQ4cOxfz589GuXbsmO7JxXR25mYtMhRI+rlJjgkSp5SEW6Fu9mKRFOEAIDgz65otKjQ4nk+7iyI1c9GvjXeE+GGM4m5KPnRczcTxRP+CvWqsDoE/wSMVCeDpJMKyDH4Z28IO/3KGBj5oQQgixDUqlEoMHD8bZs2fBGEPnzp0RGhoKQN+EOj4+HuvXr8fVq1dx+PBhmuaZEFInOp5h/vYr5RIwgKHdOzB/+xU8Gu5HX5ASi8rMzMTw4cMhl8vx+++/m03A3H/+uvQYhYLD66C8fR5O4ZF0/tZArZIwBw8eRHBwMLZu3Upz0tfRniuZAADGYEzASEUCVHbKctC3hBFwApSqdfhsVwJ6tfSATFz+DyW7SIlv9t/Eoeu5UGt5OEmFkDuIIBVJwHGcMZmTXaTED4eT8MfZNEzr0wKjugTQoL+EEEIavRUrVuDMmTPo1q0bvv/++3IDYJ47dw4vvPACzpw5gxUrVtD4C4SQOjmZdBcZCmWF6xmADIUSJ5PuIiLU03KBkSZNoVBg2LBhKCgowOHDhxEQEGC23P3nr0AshcDBBTplkXE9nb/VU6un7NLSUvTq1YsSMPUgLb8MEpEAmYVKKDVVJ2DuJ+A4iAQcUnJLsftKVrn11zKL8MqGc9h9JQuOUiGaeTjA3UkCmVhoHMxXKODgJBXB11WGQHcZSlRaLI+9jo//voIyta4ej5QQQgixPZs2bYKrqyv+/fffcgkYAOjatSt27twJFxcXbNy40QoREkIak+yiihMwtSlHSF0plUqMHDkS169fx44dOxAeHl5h2fvPS15VCr60EEKH8l116fytXK2SMC1btkRJSUl9x9IkqbQ8GAMKSjUQCrhqJ2AMBBwHBoYdF9JNxudJySvF+1suIbWgDIFuDnCWVt3oScBx8HGVQu4gxt4r2Vi0KwE6ngb9IoQQ0nhdv34dAwYMgKdnxd/YeXl5YcCAAbh27ZoFIyOENEY+LrJ6LUdIXeh0OkRHRyMuLg6bN29GREREuTJKpRJFRfrWLvefl4pjGwEwOLQs/wUGnb+Vq1V3pKeffhqffPIJcnJy4O1d8VgkpGqOEiGS8zTQ8gwiAQeNjoHd6yXKQd/SpbIZqBkAB7EQN7KKcT5VgS5BbtDqeCzdcx2pBaVo5uZQ7UF7DQwzNO27moOuwekY1YVmhSCEENI46XQ6iMXiKsuJxeJGOdEAIcSyeoV4wF8uQ6ZCaXZcGA6An1yGXiEelg6NNEFz5szBtm3b0HfgUOw5dxMnEr5FqLez8flx8uTJyMzMRNeuXTFx4kS0btMGuHwD2VdOoCzxNGQh3eHQ6iHj69H5Wz21SsLMmTMHsbGxGDZsGFavXo0OHTrUd1xNRpiPM+IS86DVMWg5mB0lXSQUQHxvNqT7McbAGIOLTAS1VoeTSXnoEuSGvy9m4EzKXfi4SGucgDFwkopQrNLi5yNJ6BPqBW8XGoiQEEJI4xMSEoJDhw6hrKwMDg7mB6YvKyvDoUOHEBISYuHoCCGNjVDAIWZkOGauO2uY/NTIcNceMzKcBjUlFrHv6EkAwJF9/+LIvn/LrZ88eTLc3NwwYsQI7NmzB2vWrIFGqwNcfeHWbwpce40Bx+k719D5W321SsIMGTIEGo0GZ8+eRZcuXRAcHIzg4GAIBOV7N3Ech9jY2DoH2hhdSlPgRNJdaHXMOJq0gCufaNHoeGh1gFgogOS+MWN0DBAKBPBwkiCnSAVFmQZaHY+/zqVBAM7sQL014e0sRVqBEnsTsjCxV3CdXosQQgixRY8//jgWLlyIp556Cv/73//KtfDNycnBCy+8gJycHDz33HNWipIQ0phEdfDHt5O7Yf72KyaD9PrJZYgZGd7kpvcl1rHrUgaKBr2L5oNMl98/1TQAuLm5Ye3ateW2pfO39jh2/0Ai1WQu2VLhDjgOOl3jG+C1pnOBP+hcSj5itl1GXrEKmYVK6HhAwME4YO6DGNMnasQCDlKxEGAMKi2Dm6MYLb2dcOduGUZ08sewjv74v03xcHUQwaGOSRgAyFQoEezhiDXP9KowNkIIIaS26no9rav8/Hx07doVd+7cgaOjI6KioowtXhITE7Fr1y6UlZWhefPmOHv2LNzc3CweY0Owdr0TQvTT/Z5MuovsIiV8XPRdOKgFAbEEHc/Qd9G+CmfqMnQrOvLmwArPSTp//1PTa2qtWsLs37+/NpuRe1LySvHJ3wm4W6JGM3cHFJRqUKrWGVvDmMNxHMAYNDwDNDpwHAeRkIOvq76bEAfARSbCjawiaLQ8ZKL6mV7aSSpEZqESucVq6pJECCGk0XF3d8f+/fsxceJEnDx5En/88YfxSwfD91S9e/fGhg0bGk0ChhBiG4QCjqbxJVZRH1Ol0/lbe7VKwkRGRtZ3HE3K72fuIKOgDM08HMBxHNydxFBqeDAw8IyBg/kWMRzHgfEMGh2DVMwhyMMBTlIRNDoeHAe08XPFhdQCfTKnnlqtyMRCFCvVSLlbQkkYQgghjVJISAiOHz+Oo0eP4sCBA0hLSwMABAYGon///nj44YetHCEhhNi34uJiLF68GCdOnMDJkyeRn5+PVatWYdq0aeXK/vbbb1i6dCmuXr0KoVCIDh064I033sDw4cMtH3gjRVOlW1etkjCk9vJL1Ii9mg1nmcg4/ouHkwR5xWrwjINGp5+ymoGVaxXDDE1lGCB3EMPdUXLvNTXwk8vQN8wLcbfyKp1NqaaEAg46xlCmphkhCCGENG4PP/wwJVwIIaQB5Obm4qOPPkJwcDA6d+6MAwcOmC23YsUKvPrqqxg+fDgWLlwIpVKJ1atXY8SIEfjjjz8wZswYywbeSNFU6dZVpyQMYwz//PMPjh07hpycHPTu3RvPPPMMAP1Advn5+QgNDYVQWPexSRqL2KvZKCjVIMDtvxPaQSyEk1SEQqUGjmIBdAzQ6PStYu4nFHAQCznwjKFUpQPP65M1Kq0Owzr4w0EihFjIoeaj/FSMZwDHASJh0+zfRwghhBBCCKkbf39/ZGRkwM/PD6dPn0bPnj3NlluxYgV69uyJ7du3G1v2P/PMMwgMDMSaNWsoCVNPaKp066p1Eub8+fOIjo7GjRs3wBgDx3HQaDTGJMyePXvw9NNPY8uWLRg5cmS9BWzvjifmQcDBZNAijtOP7VKi0kHLM4iFHEQCDgwwJlQ4DsZuSjwD1DoexSoNFEotgjwcMaKTfhTqZu4O9doSRqXRQSoSIkBuftpOQgghpDHIy8vDDz/8gP3795t0Rxo4cCCee+45eHpSv3dCCKktqVQKPz+/KssVFhaidevWJkMruLq6wtnZGQ4O9DxSX2iqdOuq1eitqampGDx4MK5fv45hw4bh888/x4OTLI0ePRpisRhbt26tl0Abi/wStdlWJS4ysTGBotbp61LAcRAK9D8CjjN+GHEcwDOGrCIVvJ2l+GBEe/i46lvWtPR2BscBGl39dB8qU+vgKhMh0J0+9AghhDROu3fvRuvWrfHuu+9iz549uHLlCq5cuYI9e/bgnXfeQZs2bbB7925rh0kIIY1e//79sWvXLqxYsQLJycm4evUqXn75ZSgUCrz22mvWDq9RMUyV7ic37XLkJ5fh28ndaKrpBlSrljCfffYZ8vLysGzZMrz66qsAgDfeeMOkjKOjIzp37oxTp07VPcpGhGcAV8EcSJ7OEgg4IDW/DCodgwAMIiFnHDuGMQaeAVqegecBXxcpPh/XCa19XYyv0TXYDd7OUhSUauo8kC5jDGUaHk9086EsKCGEkEbpxo0bGDNmDEpLS9GpUydMnz4doaGhAPRTVK9evRrx8fEYM2YMzp07h1atWlk5YkIIaby++uor5Obm4tVXXzU+Z3p5eSE2NhYRERFWjq7xiergj0fD/WiqaQurVRJm165daNu2rfEPoyItWrSg6awf4CoTQcdX3ErF3UkCJ6kI+aVq5BWrodLyYODBQd89ScABjhIhhAIOb0a1M0nAAICjRITHOvpj1dFkaHkeIkHtp6pWlGnhKBViSHjVTQcJIYQQe7Rw4UKUlpbiww8/xAcffFBu/auvvoqPP/4YMTExWLRoEX788UcrREkIIU2Do6Mj2rRpg2bNmmHEiBEoKirCl19+iTFjxuDw4cMICwuzdoiNDk01bXm1SsKkp6dj1KhRVZbjOA6FhYW12UWj1SnIDadv5xvH0TFHIhLA11UGbxcpipVa4yC9QgEHqUgApUYHiUiIjs3kZrcf170Z9l3Nxp38UgTIZbWarlqj41Gk1GBCz2C0eiDRQwghhDQWsbGxaNOmjdkEjMH777+PDRs2YO/evRaMjBBCmp7x48dDJBJh+/btxmWjRo1Cq1at8O6772LTpk1WjI6Q+lGrZhJOTk7IycmpslxSUhI8PGhE5fs92s4XTlIhipTaKssKOA6uDmJ4Okvg7SKFh5MEjhIhStU8BrTxhoeTxOx2bo4SvDKwFRzEQmQXqcqN11MVrY5HhkKJtn6umN43pEbbEkIIIfYkMzMT3bp1q7Jct27dkJmZaYGICCGkaUpMTMSuXbvw+OOPmyz38PBA3759cfToUStFRkj9qlUSpmPHjjhz5gxyc3MrLHP79m2cP38e3bt3r3VwjVGwpyN6h3hCUaatcXIEAErVOkjFgioHSooI9cT/DW4NsVCA9AIltNUcqLdYpUV6gRKtfV3w0egOcJbWaRZzQgghxKY5OTkhOzu7ynLZ2dlwcnKyQESEENI0ZWVlAQB0Ol25dRqNBlpt1V9iE2IPapWEmTx5MoqKivDcc8+htLS03Hq1Wo2XXnoJGo0GkydPrnOQjc2YboFwloqQU6Su0XYaHY+8EjV6tvBA+wDXKssP6+iPT0Z3RAtPJ2QUqpBVqNSPMfNA8ocxhmKlFqn5ZShWavFoe18sGd8ZgW40IxIhhJDGrUuXLjh06BAuXrxYYZkLFy7g4MGD6NKli+UCI4SQJiYsLAwCgQCbNm0yeV5JTU3F4cOH0bVrVytGR+rLqVOnMGvWLLRv3x5OTk4IDg7Gk08+ievXr5uU4+7NDmzu59FHH7VS9PWjVs0cpk+fjvXr12Pbtm1o27YtoqKiAADnz5/Hq6++im3btiElJQWDBw9GdHR0vQbcGHQNdsfLA8OwfO91ZBUq4eMirXLcFpVGh6wiFToEyPH2sLbVHuelV4gHVj7VDVvj0/D3hQxkFiqh45l+Lnimn+6aMcBBIkSP5h4Y3TUAka29azWODCGEEGJvZsyYgf3792Pw4MGIiYnBlClT4OzsDAAoLi7G6tWr8fHHH0On0+H555+3crSEEGK/Vq5ciYKCAqSnpwMAtm/fjtTUVADAK6+8Am9vbzzzzDP48ccfMWjQIIwZMwZFRUX45ptvUFZWhrffftua4ZN6smjRIhw9ehTjx49Hp06dkJmZiZUrV6Jbt244fvw4OnToAABYu3ZtuW1Pnz6N5cuXY8iQIZYOu15xrDZ9YqC/MXnhhRewceNGs91qxo4di1WrVhlvZBrKp59+ir///hvx8fGQSCQoKCiochvGGGJiYvDDDz+goKAADz/8ML799tsaTTtZWFgIuVwOhUIBV9eqW6WYs/NiBr6KvYEipRZOUiHkDuJy04GVqXXIL9WAMYbuzT3w3oh28HKu3dTTSo0Ol9MVuJVTgiyFEhqewVEiRAtPR4T5uCDU24mSL4QQQiyqPq6ndTV16lSsXbvWeA309NTPEpGXlwdAf98wZcoUrF692irxNQRbqHdCSNOh4xmaBTdHZtods+uTkpLQokULaLVafPfdd/jpp59w8+ZNAEDPnj3x/vvvY8CAAZYMmTSQY8eOoUePHpBI/hvf9MaNG+jYsSPGjRuHdevWVbjtc889h59//hkpKSlo1qyZJcKtlppeU2udhDG4evUqdu7cicTERPA8j6CgIAwbNsxiTXZjYmLg5uaG1NRU/PTTT9VKwixatAgLFizAmjVrEBISgvfffx8XL17ElStXIJPJqrXf+rp5uZpZiB3nM7D/WjYUZRrjrEmGt0UiEiLU2wkjOwdgSLgfHCTCWu+LEEIIsTW2kgz47rvvsGTJEiQmJposDw0Nxdy5c/HCCy9YKbKGYSv1Tghp/HZdysD87VeQoVAal/nLZYgZGV7lOJek6TCMJXvmzBmz61UqFfz8/NClSxfs37/fkqFVyeJJGFuxevVqvP7661UmYRhjCAgIwJw5czB37lwAgEKhgK+vL1avXo0JEyZUa3/1ffNyt0SNfVezcTuvBIVlGkhFAsgdJXiopSe6BrlBIKAWKlVp0aIFbt++bXadr68vzWpBCCE2yNaSAWlpaUhLSwMABAYGIjAw0MoRNQxbq3dCSOO061IGZq47iwcfOA1PNt9O7kaJGALGGIKCgtC+fXv8+++/Zsv89ddfGDNmDH744Qc899xzFo6wcjW9pja5qW+SkpKQmZmJwYMHG5fJ5XL07t0bcXFxFSZhVCoVVCqV8ffCwsJ6jcvDSYJx3WvXpIrnGc6nFuBKRiFuZBXhVk4JVBoeQgEHH1cp2vq5ItTbCb1bekLuIK7XuG2NXC7H66+/Xm55Q3eLI4QQ0jg05sQLIYRYko5nmL/9SrkEDAAw6BMx87dfwaPhfuWGZCBNy/r165GWloaPPvqo0jJSqRTjxo2zYGQNo1pJmJSUlDrtJDg4uE7b1ydDawhfX1+T5VW1lFiwYAHmz5/foLHVlEqrw65LmdhxPh03c0qguTcNtUQkgIADwIC0glKcuZ0PDoC7kwRDwn0xqksggjwcrRp7Q3Fzc8OHH35o7TAIIYTYsFOnTiEjIwPt2rWrcjy469ev4+rVqwgICECPHj0sFCEhhNi/k0l3TbogPYgByFAocTLpLiJCPS0XGLEpV69excsvv4yIiAhMnTrVbJnCwkL8/fffeOyxx+Dm5mbZABtAtZIwLVq0qPWArRzH1XhO97feeguLFi2qtExCQgLatm1bq5hq4+2338bs2bONvxcWFiIoKMhi+3/Q9awiLN97AxdSC8BxHNwdxZWOF6PlGQpK1fj15B3svpyF6X1bYGSnAIiEtZqlnBBCCLFLubm5GDRoEFxcXBAfH19leXd3d7z00ksoLS1FYmJio7j5I4QQS8guqjgBU5typPHJzMzE8OHDIZfL8fvvv0MoNP88+8cff0CpVOKpp56ycIQNo1pJmODgYLNJmPvH35DL5QD046sA+uRLbVvAzJkzB9OmTau0TMuWLWv12n5+fgCArKws+Pv/1/8wKyur0sGEpVIppNLazUpU33ZdysRXsTegKNPAx0UCqbjqwXpFAg5ezlLwjCG3SIWlu6/j7O0CvP1YWzhKGk+vNJVKhXXr1iElJQVOTk7o1KkT+vXrV+EfNCGEkKZl3bp1KC4uxtKlS+Ht7V1leW9vb3z00Ud47rnnsG7dOsyaNcsCURJCiP3zcanehCfVLUcaF4VCgWHDhqGgoACHDx9GQEBAhWXXr18PuVyOESNGWDDChlOtp+/k5GST33meR3R0NEpKSvDuu+9i6tSpxm+GFAoF1qxZg08//RQ9evTApk2bahyUt7d3tW6MaiMkJAR+fn6IjY01Jl0KCwtx4sQJzJw5s0H2WZ92XcrAF7uvQ6Pj0cxdVuMWSgKOg4+rDKVqLfZdzYJay+PDx9s3mlmXMjMz8fTTT5ssCwkJwapVqxAZGWmlqAghhNiKnTt3wsnJqcImz+Y8/fTTeP3117Fjxw5KwhBCSDX1CvGAv1yGTIXS7LgwHAA/uQy9QjwsHRqxMqVSiZEjR+L69evYu3cvwsPDKyybkZGB/fv3Y9q0aTbTKKKuatUX5csvv8T27duxb98+vPbaayZNc+VyOV599VXExsZi27Zt+OKLL+orVrNSUlIQHx+PlJQU6HQ6xMfHIz4+HsXFxcYybdu2xV9//QVA30Ln9ddfxyeffIJt27bh4sWLmDJlCgICAjB69OgGjbWuLqUpsGzvDWh5Hr6u0lp3EQMAR4kIXs5SHLmZi+8O3qrHKK1n+vTpiI2NRWZmJkpKSnDx4kW88MILSE5OxrBhw3D+/Hlrh0gIIcTKLl26hN69e0Msrv5A9WKxGL169cLFixcbMDJCCGlchAIOMSP1D9cPPrUYfo8ZGU6D8jYxOp0O0dHRiIuLw+bNmxEREVFp+Y0bN4Ln+UbTFQmo5RTVHTt2REBAQIXTRxkMHToUaWlpuHTpUq0DrMq0adOwZs2acsv379+P/v37A9AnXlatWmXs4sQYQ0xMDL7//nsUFBSgb9+++Oabb9C6detq79fSUzuWqXV49dezuJJRVKsWMBVRlGmg1vL49ImOeKhl4xwQa+7cufjiiy8wevRoYzKOEEKIbbD09VQmk2HcuHFYt25djbZ76qmnjH3SGwOaopoQYim7LmVg/vYrJoP0+stliBkZTtNTN0Gvv/46li9fjr4Dh6LHwMfgKhMj1NsZgnvJuMmTJ5uU79GjBzIyMnDnzh0IBLY5nmlNr6m1SsI4OjriiSeewPr16ystN2nSJGzZsgWlpaU13YXNs/TNy4YTKfhm/034uEohEdXfyccYQ3qBEiHeTvhxSs96fW1bcfPmTbRq1QoeHh7Iy8uzdjiEEELuY+nrqVwux8CBA2uclH/iiSewb98+49h39o6SMIQQS9LxDCeT7iK7SAkfF30XJGoB0zR16tkHF0/HVbj+/vTEtWvX0LZtW8yePbvBe9jURU2vqbUakdXJyQknT54EY6zCFhmMMZw6dQpOTk612QW5j0qrw/bz6RCJuHpPknAcBy8XKZJzS3E8MQ/9WjfMWDzWZBhfqKSkxMqREEIIsTY/Pz9cuHChxttduHDBOLg/IYSQmhEKOJqGmmDXpQwUDXoXzQeZLjdkFL6d3M1keZs2bVCLNiM2r1ZP9P3790diYiLmzZsHnU5Xbr1Op8Mbb7yBW7duGbsEkdo7kXgXaQVl8HCUNMjrS0UC8Ixh58WMBnl9azt+/DiA2s+oRQghpPHo06cPkpOTcezYsWpvc/ToUSQlJaFPnz4NGBkhhBDSeOl4hvnbr5gdpNmwbP72K9DxjS/p8qBaJWE++ugjODo64ssvv0RoaCjeeOMNfPvtt/j222/x5ptvIiwsDEuXLoWTkxPmz59f3zE3ORdSC6DjWYN2FXKSCnEhVYEydfmkmj1ISEgw29IlOTnZOJPFg/0LCSGEND1PPfUUGGN4/vnnq9W1qKCgAM8//zw4jsPEiRMtECEhhBDS+JxMumsyLtCDGIAMhRInk+5aLigrqVV3pHbt2uGff/7BpEmTkJKSUq5/FmMMgYGBWL9+faXTTZHquZxeCJGwYftMOoiFUJRpkZRbgvAA++sbvmnTJnzxxRfo168fmjdvDhcXF9y6dQt///03lEolHnvsMcydO9faYRJCCLGywYMHY9CgQYiNjUX37t2xdOlSjBw5slz3asYYtm3bhjlz5iApKQn9+/fHkCFDrBQ1IYQQYt+yi6o3sH11y9mzWiVhAKBv3764ceMG/vjjDxw4cACpqakAgMDAQERGRmLcuHGQyWT1FmhTpdHxSLlbCpm4YQfMlYoEUGv1+7LHJMyAAQNw7do1nDt3DkePHkVJSQnc3NzQt29fPP3003j66afrbUYpQggh9m3jxo14+OGHcf36dTzxxBNwc3NDt27d4OPjAwDIzs7G2bNnUVBQAMYYwsLCsGnTJitHTQghhNgvH5fq5QaqW86e1ToJAwBSqRSTJk3CpEmT6ise8gCVlgfPMwgbOIHAcRw4DlBq7LM7UmRkJCIjI60dBiGEEDvg6emJkydPYtasWfj111+Rn5+P2NhYY7LeMAigQCDApEmTsGLFCri5uVkx4satuLgYixcvxokTJ3Dy5Enk5+dj1apVmDZtmrVDI4QQUk96hXjAXy5DpkJpdlwYDoCfXD9zVmNXpyQMaXiGmdssNTyRgKaKI4QQ0gS4urril19+wfz587Fjxw6cPn0aOTk5APSz6nXv3h0jRoygQd0tIDc3Fx999BGCg4PRuXNnHDhwwNohEUIIqWdCAYeYkeGYue4sOJg+3xqeQGNGhjeJqcsbto8LqTOZSAgHiRBaXcOmYfh7o1C7yCgvRwghpOkICQnBK6+8gjVr1mDnzp3YuXMn1qxZg1dffbVeEzBff/01WrRoAZlMht69e+PkyZOVlt+8eTPatm0LmUyGjh07YufOnSbrp02bdq8V638/UVFR9RavJfn7+yMjIwO3b9/G4sWLrR0OIYSQBhLVwR/fTu4GP7lplyM/uQzfTu6GqA7+VorMsmqVhBEKhdX+EYnoob4uBAIOrX1dGrybUJlGB5lYiFAv5wbdDyGEENLUbNq0CbNnz0ZMTAzOnj2Lzp07Y+jQocjOzjZb/tixY5g4cSKeffZZnDt3DqNHj8bo0aNx6dIlk3JRUVHIyMgw/vz666+WOJx6J5VK4efnZ+0wCCHELp06dQqzZs1C+/bt4eTkhODgYDz55JO4fv16hdtoNBqEh4eD4zgsWbLEgtHqEzFH3hyIX2c8hOUTuuDXGQ/hyJsDm0wCBqhlEoYxVu0fnufrO+Ymp42fCxj7r496QyhT6+AiEyHArfEPhEQIIYRY0tKlSzFjxgxMnz4d4eHh+O677+Do6Iiff/7ZbPnly5cjKioK8+bNQ7t27fDxxx+jW7duWLlypUk5Q/LC8OPu7m6JwyGEEGJDFi1ahD/++AODBg3C8uXL8fzzz+PQoUPo1q1bueS9wYoVK5CSkmLhSP8jFHCICPXEqC6BiAj1bBJdkO5XqyQMz/Nmf3Q6HRITE/HVV1/B3d0dMTExlISpBxGhnpCKBShRN0xrGMYYSjU6DGzrA5GQeqgRQggh9UWtVuPMmTMYPHiwcZlAIMDgwYMRFxdndpu4uDiT8gAwdOjQcuUPHDgAHx8ftGnTBjNnzkReXl6FcahUKhQWFpr8EEIIsX+zZ8/G7du38dVXX+G5557De++9h8OHD0Or1WLhwoXlymdnZ+Ojjz7Cm2++aYVoCVDPY8JwHIcWLVpg1qxZ+OOPP/Dxxx/jjz/+qM9dNEltfF3QMdANBaWaBnn9YpUOjhIRhranpsCEEEJIfcrNzYVOp4Ovr6/Jcl9fX2RmZprdJjMzs8ryUVFR+OWXXxAbG4tFixbh4MGDGDZsGHQ681/YLFiwAHK53PgTFBRUxyMjpGJnzpxBVFQUXF1d4eLigiFDhiA+Pt7aYRHSKPXp0wcSicRkWatWrdC+fXskJCSUK//WW2+hTZs2mDx5sqVCJA9osGYP/fv3R9euXbF06dKG2kWTwXEcxvdoBrFQgCJl/SZieJ4hv1SNiJaeaOVD48EQQggh9mDChAl4/PHH0bFjR4wePRo7duzAqVOnKpxZ6O2334ZCoTD+3Llzx7IBkybj7Nmz6Nu3LxITExETE4MPPvgAN27cQGRkJK5du2bt8AhpEhhjyMrKgpeXl8nykydPYs2aNVi2bBk4rml1AbIlDdr3pGXLlrh48WJD7qLJ6BPqiSHhvsgv1UKrq78uXllFKvi6yvDSgFD6QySEEELqmZeXF4RCIbKyskyWZ2VlVTgYrZ+fX43KA/p7Li8vL9y8edPseqlUCldXV5MfQhrC+++/DwcHB8TFxWHOnDmYN28ejh07Bp7n8c4771g7PEKahPXr1yMtLQ3R0dHGZYwxvPLKK4iOjkZERIQVoyMNmoS5ceNGgw4m25RwHIcXI0MR6u2EDIUSOr7u9ZpbrIJQwGFmZCj85Q71ECUhhBBC7ieRSNC9e3fExsYal/E8j9jY2ApvgiMiIkzKA8CePXsqvWlOTU1FXl4e/P2bzuwSxDYdPnwYgwcPhqenp3GZv78/IiMjsWPHDhQXF1sxOkIav6tXr+Lll19GREQEpk6daly+evVqXLx4EYsWLbJidARooCSMVqvFp59+ivj4eHTt2rUhdtEkuTtJ8MnoDmju6YT0gjKoajltNc8YMguV4BnwYr9QDKGxYAghhJAGM3v2bPzwww9Ys2YNEhISMHPmTJSUlGD69OkAgClTpuDtt982ln/ttdewa9cufPHFF7h69So+/PBDnD59GrNmzQIAFBcXY968eTh+/DiSk5MRGxuLUaNGISwsDEOHDrXKMRJioFKp4OBQ/ss9R0dHqNXqCmdrIYTUXWZmJoYPHw65XI7ff/8dQqEQAFBYWIi3334b8+bNozHBbICoNhsNHDiwwnVFRUVITExEQUEBBAIBNTusZ809nfD5uE74bOdVXEgtgEwsgIeTBIJqdiUqVWuRW6yGp5MUL0aGYngn+saMEEIIaUjR0dHIycnBBx98gMzMTHTp0gW7du0yDr6bkpICgeC/78X69OmDDRs24L333sM777yDVq1aYcuWLejQoQMAQCgU4sKFC1izZg0KCgoQEBCAIUOG4OOPP4ZUKrXKMdaFjmd4Y/7nyMzNQ1lBLgBg+/btSE1NBQC88sorkMvl1gyR1ECbNm1w/Phx6HQ64wOgWq3GiRMnAABpaWnWDI+QRkuhUGDYsGEoKCjA4cOHERAQYFy3ZMkSqNVqREdHIzk5GQCMn7H5+flITk5GQEBAuQF+ScPgWC36C91/o1CRVq1aYeHChXjiiSdqFZitKywshFwuh0KhsEq/apVWh82nU7HhRAoUZRpIRBxcZWJIxQKThAxjDBodQ4lai2KlDhKRAN2bu+PVga0Q7Olo8bibMkWZBnfulqJUrYNGx0Ot4yHgOIiFHKQiAVxkYgR7OEImFlo7VEIIsRhrX0+bKlup912XMjB/+xWcWjgJusJss2WSkpLQokULywZGau27777DzJkzMXXqVLzxxhvgeR6ffPIJ/vzzT2g0Gqxdu5ZmZSGknimVSgwZMgRnzpzB3r17y3VfnTZtGtasWVPpa5w7dw5dunRpwCgbr5peU2vVEmb//v0VrpNIJAgMDERwcHBtXppUk1QkxOSHmmNwO1/sScjCzgsZyC5SIq+EBweAAcZ/RQIODhIhhnX0w7AOfuga5A6BwHzLGUNOjgbprRtFqQaJucVIzClBYk4xrmQUIkOhhFKrA8/ru4QZ0p8CTl/fIiEHB7EQIV5OaOfvipZeTmjp7YzmnpSYIYQQ0vjsupSBmevOggFoNvNn43LDHci3k7shqgO12LU3L774Iu7cuYPFixcbH/p69OiBN954A59++imcnWk2TkLqk06nQ3R0NOLi4rB161az44e9+uqrGD16tMmy7OxsvPDCC5g2bRpGjRqFkJAQC0VMatUShtjON0gGGh2PlLulSMopQWp+KVRaHkIBBw8nCULuPczLHcTG8jqe4XpWkUmSIKtQCbVWP/OSRCSAj6sM7f1dEeLthJZezmjt6wyRsEHHcrZrKq0OcbfysPNiJi6kFkCp0UHLMzAAEiEHmVgImVgIoYCDAIAhz8UzffJLyzOUaXRQqnno7iVppCIBnKQiRLb2RlQHP7QPcKUEGSGkUbG162lTYe161/EMfRftQ4ZCaXY9B8BPLsORNwdCWMEXR8S25efn4/Lly5DL5ejYsSPeeecdLFiwAJcvX0Z4eLi1wyOk0Xj99dexfPlyjBw5Ek8++WS59RW1PEtOTkZISAgWL16MuXPnNnSYjZpFWsL88ssvCAsLQ58+fSotd/z4cVy/fh1TpkypzW5IDYiFAoR6OyPUu/JvF/JL1Nh3NRs7LqTjdl6pPunCAUIBB4lQAMN9jkrL425JIS6lKsCgTwYEezhieCd/DGrnCw8n6i9okKlQGlsjpRaUgjHARSaCh5MEYiFXZdJEyAEAB5EQ+hYv93qJMcag1PIoVenw17lU7LyUgXB/V4zo5I9HWnnDSVqrP19CCCHE6k4m3a0wAQPoW/JmKJQ4mXQXEaGeFZYjtsvd3R19+/Y1/r537140a9YMbdu2tWJUhFTt1KlTWLNmDfbv34/k5GR4enrioYcewieffILWrVsby508eRKrV6/GiRMncOHCBWi1WqvMDBwfHw9AP5bW9u3by62n7n+2p1ZPcdOmTcO0adOqTML89NNP+PnnnykJYwMUZRqsjUvGrsuZyC/RQCgA3B0lkIkFVSYJGGNQangk5ZZg2d4bWH0sGUPb+2FqnxYmrWuammuZRfjt9B0cvZmLIqUWEhEHb2cpJKL6aS3EcfruSQ5iITyYGKVqHc6nFuD8nQJ4uyQiqoMfxnUPooQYIYQQu5NdVHECpjbliG3btGkTTp06hSVLllRrbElCrGnRokU4evQoxo8fj06dOiEzMxMrV65Et27dcPz4ceMg6Tt37sSPP/6ITp06oWXLlrh+/bpV4n1r5a9Qbb9iktj2l8sQMzK80i6dLVq0sErSiDTQFNUG9KbahuOJeZi1/ix+PZkClYZHgJsMAW4OcJAIq9W1heP0Y8r4u8kQ4CaDRsdj06k7eGn9GcTdyrPAEdgWlVaHNceS8drGc/jnUgYAhkB3GXxdZfWWgHkQx3FwkooQ6OYAH1cpFGUarD6WjJnrzuDg9Rz6WyOEEGJXfFxk9VqO2I5Dhw5h8ODB+Pzzz/HTTz9hxowZeOqppxAVFYXXXnvN2uGRJuLUqVOYNWsW2rdvDycnJwQHB+PJJ580myhJSEhAVFQUnJ2d4eHhgeLiYpw+fRpfffUVnnvuObz33ns4fPgwtFotFi5caNxu5syZUCgUOH36NB599FFLHp6RYWytB1sWZiqUmLnuLHZdyrBKXKRyDdqfITs7G46ONAOPtai0Onx74Ba2n0+HWsvDXy6r85guhnFmXGU8UvJK8d6Wixje0R8vDQhrEoPHJmQUYvneG7iUroCDWIggdweLj9EiFgrg7SKFjmfIUCjx4bbLGBLuixciQ6lVDCGEELvQK8QD/nIZMhVKmPsawTAmTK8QD0uHRuooMDAQQqEQixcvRmFhEXwCgzDj/97B0o/fhUhEXamJZVS3NUtqair69esHuVyOzz77DMXFxViyZAmGDx+OkydPGqdsbtWqFdq3b4+EhATjPnx9fa1ybAY6nmH+9itmP0MNk7TM334Fj4b70dhaNqban4SHDh0y+T0zM7PcMgOtVovLly9j9+7d6NixY90iJLVSqtbis78TsP9aDlwdRPByltRrskAkFCDQ3QGKMg3+OJuGvBI13nmsXaMdp0Sl1WHTqTvYcCIFRUoNfFylkIqsm3QSCjgEuMlQpNRg+4UMxN8pwEsDwtCvlRcN3ksIIcSmCQUcYkaGY+a6s8bZHA0MV7CYkeH04GCHQkND8X9frMb8+7pH/AMg/ssjVXaPIKS+zJ49Gxs2bDAmUQAgOjoaHTt2xMKFC7Fu3ToAwGeffYaSkhKcOXPGOLtvr1698Oijj2L16tV4/vnnAeh7eGRlZaF9+/aWP5gK0Nha9qvaT8z9+/c3ebD7999/8e+//1a6DWMMM2fOrH10pFZUWh0+/TsBB65lw9NZAkdJwyVG5A5iSIQCHLiWA8aAD0aGN7oWMdmFSszffgXnUwvgIBaimRVav1TGRSaGo0RkbBUzspM/XhnUCmKayYoQQogNi+rgj28ndzN5WAf0LWDoYd1+3T/1+P0M3SNo6nFiCebGLjXXmuWPP/7AiBEjjAkYABg8eDBat26N3377zZiEWb9+PdLS0vDRRx81fPDVRGNr2a9qP53369fP+OB58OBB+Pj4VDi6uUQiQbNmzTB27Fg89thj9RNpBT799FP8/fffiI+Ph0QiQUFBQZXbTJs2DWvWrDFZNnToUOzatauBorQcxhi+ir2BA9dy4OkshaOk4RMiDhIhvJwlOHg9B8v23sCbUW1sKklRF6n5pXhvyyVczyqCrw20fqmIoVVMYZkGf55LQ7FKizei2ja6hBghhJDGJaqDPx4N98PJpLvILlLCx0XfBYlawNgn6h5BbNmDrVnS0tKQnZ2NHj16lCvbq1cv7Ny5EwBw9epVvPzyy4iIiMDUqVMtGnNlaGwt+1XtJMyBAweM/xcIBBg2bBh+/vnnhoipRtRqNcaPH4+IiAj89NNP1d4uKioKq1atMv4ulUobIjyLO3IzF/9czITcQWSRBIyBg0QIN0cR/r2ciYhQT0S29rbYvhtKUm4J3v3rIm7nlSCgHsbTsQRXBzGEAg67L2ehTKPDByPaw8GC5wEhhBBSU0IBR03lGwnqHkFs2YOtWTIy9IPW+vuXb5nl7++Pu3fv4vbt2xg+fDjkcjl+//13CIW2c19NY2vZr1r1U9m/fz/8/PzqO5ZamT9/PgBg9erVNdpOKpXazDHUl/wSNb7ZfwsanoePg+WTSi4yMYrKlPhm/010DJTb9SCxaQVleH/LvQSMm4NdfVvjJBVBwHE4dD0Hn+1MwHsj2tlsCx5CCCGENB7UPYLYKnOtWcrKygCY/zJeJtO3Hhk5ciQKCgpw+PBhBAQEWC7gaqCxtexXrb7aj4yMRJs2beo7Fos6cOAAfHx80KZNG8ycORN5eZVPtaxSqVBYWGjyY2t+PJKI23kl8HW1XpMzX7kUd/JL8f2hRKvFUFc5RSq8v+USEnNL4G9nCRgDB4kQns4S7LuajaW7r0Or460dEiGEEEIaOeoeQWxRZmam2dYsDg4OAPTPeQ8qLi4GANy6dQs7duxAeHi45QKuAcPYWn5y078pP7mMxl+yYfUyYqtWq8Xy5cuxZcsW5ObmolmzZpg4cSKeeeaZ+nj5ehcVFYUxY8YgJCQEt27dwjvvvINhw4YhLi6uwiZmCxYsMLa6sUUZijLEJmTD1UEEkRWTBkIBB1eZGPuvZmPyQ8Fo5m5fU5RrdTwW/pOAq5mF+im97TABY+AoEYF3Av65lIFgT0c81bu5tUMihBBCSCNG3SOIrVEoFBg2bJjZ1iyGbkiGbkkGOp0OmzdvBgBs3rwZERERlgu4FmhsLftTrSTMn3/+iRdffBEzZszAp59+arKO53kMHz4ce/fuBWP6j9tr165h3759OHToUI27CQHAW2+9hUWLFlVaJiEhocKBgasyYcIE4/87duyITp06ITQ0FAcOHMCgQYPMbvP2229j9uzZxt8LCwsRFBRUq/03hL1XslCk1CDQ3cHaocDVQYS0fCX2XsnCtIdDrB1OjWyNT8ep5LvwdpY2itmFnKUiKDU6rDt+G71aeKCVr4u1QyKEEEJII0XdI4gtUSqVGDlyJK5fv469e/eWa80SGBgIb29vnD592mT5nDlzkJqaCrm7B/acu4kTCd8i1NsZgnvn7eTJkwEAt2/fxtq1awHA+BqffPIJAKB58+Z4+umnG/T47kdja9mXaiVh9u/fj7y8PIwbN67cuh9++AF79uwBADz++OMYMmQIUlJSsHLlSqxduxaTJk3CkCFDahTUnDlzMG3atErLtGzZskavWdVreXl54ebNmxUmYaRSqc0O3qvS6vD3hQxIRAIIbGBWIgHHQSrisPNiJib0CrabGXpS8kqx+lgyRAKuUQ1m6+kkQWq+Estjb2Dpk10gEdl/cokQQgghtommHie2QKfTITo6GnFxcdi6dWuFrVnGjh2LNWvW4M6dO8Yv2Lf9o3+2VeTfxbL3Xiu3jSEJk5SUhPfff99kneH3yMhIiyZhiH2pVhLmxIkT8Pf3R9euXcut+9///geO4zBhwgSsX7/euLxXr14YN24c1q5dW+MkjLe3N7y9LTe7TmpqKvLy8syOjG0Pzt9RIEOhhKez7QyE6+YoQWahEudSCuwiK6vV8Vgeex15JSo0s4HWRPWJ4zj4uEgQf6cAm8/coW5JhBBCCGlQ1D2CWNucOXOwbds2jBw5Enfv3sW6detM1hsSKe+88w42b96MAQMG4LXXXsPZWxm4nZICsXcL+E/5EpxIDOC/llzfTu5mfI3+/fsbe4IQUhPVSsJkZGSgS5cu5Zbn5uYiPj4eHMdh3rx5JuvGjBmDFi1a4MSJE/USaEVSUlJw9+5dpKSkQKfTIT4+HgAQFhYGZ2dnAEDbtm2xYMECPPHEEyguLsb8+fMxduxY+Pn54datW3jjjTcQFhaGoUOHNmisDeVWTjF0jNlUCweJSACeZ0jMLbaLJMz93ZBsoTVRfZOKhZCJBdQtiRBCCCEWQd0jiDUZngm3b9+O7du3l1tvSMIEBQXh4MGDmD17Nt566y2oeAEcWvaA+8BnjQkYQN+1jgMwf/sVPBruRwlFUifVSsLk5ubC3d293PJTp04B0LdcMZekCQ8Px4EDB+oUYFU++OADrFmzxvi7obXO/v370b9/fwD6MWoUCgUAQCgU4sKFC1izZg0KCgoQEBCAIUOG4OOPP7bZ7kZVuZFVBLOjn1kZA3A9q8jaYVQpraCsUXZDetD93ZKWT+hKFw9CCCGEENIovbXyV6ge6BLnX0GXuPbt2+Pff/9F3K08TPzheIWvyQBkKJQ4mXSXEoykTqqVhBEKhcjJySm3/OzZswCAbt26lVsHAG5ubtBqtXUIr2qrV6+ucvDf+5uJOTg44N9//23QmCyJMYYrGYWQim2nFYyBg1iAhIwiMMbA2XDrkl2XMpFXokYz98Y9XSLHcfByluByugLxd/LRvTnNTEAIIYQQQhqXXZcyMHPd2XLfUWcqlJi57myFUzdnFynLLTOnuuUIqUi1ntybN2+Os2fPQq1WmyyPjY0Fx3Ho3bu32e1yc3Ph6+tb9yhJhUrVOihKNTbVFclAIhKgsEyDIlXDJuLqokytwz8XMyAT28agxg3NQSKEWsuw82KmtUMhhBDSiOh4hrhbedgan4a4W3nQ8TbYRJcQ0ujpeIb526+Y7SRgWDZ/+xWzn1E+LtX7Qra65QipSLWe3AcMGIC8vDyT0Z/379+PgwcPAgCGDx9udrtz586ZzMVO6p9ay4MHbDKBIOA48IxBo+WtHUqFDt/IQVahEu6O4qoLNxIuMhGO3sxFpoKy+IQQQupu16UM9F20DxN/OI7XNsZj4g/H0XfRPuy6lGHt0CpESSNCGqeTSXdNuiA96P4uRQ/qFeIBf7kMFT1VcdB3aeoVQq3JSd1UKwnz+uuvQyKRYMmSJQgKCkK3bt2Mg9j27t0bPXr0KLdNXFwccnJyKmwlQ+qRrd433PsEs9XwGGPYcUF/gygW2l5Loobi6iBCkVKLPQlZ1g6FEEKInTM0+3/wocfQ7N8WEzH2mDQihFRPXboUCQUcYkaGA0C5RIzh95iR4TSuIqmzaj15hoWFYf369XByckJaWhri4+Oh1WoREBBgMiju/f73v/8BAAYNGlR/0ZJyxCIBOA42OT0aYwwCjrPZBEdCRhEupyvg1oRawQD6FkoSEYedFzKg0uqsHQ4hhBA7VZdm/9Zij0kjQkj11bVLUVQHf3w7uRv85Kbr/eSyCseSIaSmqjUwL6Cfcrpv377YsWMHsrKyEBwcjNGjR8PJycls+V69eqFr164YOHBgvQVLynMUC+EoEaJIaXvjrqi1DE5SEZxsdMahPVcyodTo4OUssXYoFufuKEFaQRmOJ95FZGtva4dDCCHEDtWk2b8tzCRSVdKIpp9t2nQ8w8mku8guUsLHRd/lhM4D+2PoUpSpUJr9W+egT6hU1qUoqoM/Hg33o/OBNJhqJ2EAwMfHB88880y1yr700ku1CoiY0up4pBWUITG3BLeyi3EzuxjZRSooyjQoU+sgFHDILCxDkVKLQqUGDmIhHCRCyMQCSIQCq85KpNTo0DXYDSIbbAnDGMPp2/mQioQ2PXNTQ5GIBOAZw+V0BSVhCCGE1Iq9zSRib0kjYjm7LmVgfjWnMya2zdClaOa6s+BgOixCTboUCQUcfQ6QBlOjJAyxnPSCMuxNyMLOixnIKlRBUaZGqVoHrY7d+zBh97620Q9+yxig1Kgg5ACBgINIwEEiEsDDSQJ3R4lVZk9iANr4uVp8v9WRX6pBdpEKMontJYgsRcgBCRmF1g6DEEKInbK3mUTsLWlELKO20xkT22XoUvRgYs2PEmvERlASxsbcyinG+uO3cfRWHhSlGii1Wqg0PHQ8A8fpEysCznQ2JI2OQanRgeMAHgCvY+B5Bq2OoUytRFahCnIHMXxcpHCwUNcgQ//vll7mu6tZW2JOMZRqHbxcml5XJAOZWIjEnBIoNTrIxLbZZYwQQojtqo9m/5ZUX0kj6rbSeFAXtcaLuhQRW0ZJGBuh0fH440wq1h6/jbvFKggEHIpVGqi1PIQCDlJRxV2LREIO3L0hYQQcBwamT8YwBiEYeF6AvGJ9FyY/Vxm8XCQNPqW1okwDd0cJugS5Neh+aisxtwQ6xiBqwh/EsntjCaXcLUVrXxdrh0MIIcTO1Fezf0upj6QRdVtpXKiLWuNGXYqIrWq6fTFsSGp+Keb8dh5f77+JEpUWPIC8YjU0OgapSABxFWO7cNBPsWy4oeA4DgKOAwdAx+sTPIJ73ZbSCspwK1vf+qGhMMZQotJiYFsfuDvZZkuTm9nFAEOTHA/GQCYSQKXhkZhTbO1QCCGE2Cl7mkmkrtPPNsWZlXQ8Q9ytPGyNT0PcrTybmumqPlAXNUKINVBLGCu7mV2MD7ZeQnJuCdwcxUhXKFGq1kEs4Gr0zZFIyEGj0ydADIkFjuPA3WsVo9bxkIgEEAk4FCk1uJXDo4WnI5yk9X8KlKr13VuGtver99euD4wxJGQUWmWcHFvC3UvUJeaWWDsUQgghdsyemv3XdqyIpthtpSm0+rG3cY0IIY0DJWGs6HZeCd796yJS80vh7SJFcl4JytS6e+O+1OwCLuT0SRstz0y/3eE4CKBPPKi1+kSMVCSASssjKbcEIV5O9ZqIYYzhbokavUI80c7fNru4lKp1yC1WQSpu2kkYAOAEwO28UmuHQQghxM7ZU7P/2iSNmlq3laYyWK29jWtUH2hMo4ZHdUyqQkkYK1GUafD+1ktIzS+Fj4sUyXmlKNPoKh37pSpSkQA6tc6kNYwBx3HGRIxALIRUyEGlY0jOK0Wot1O9DcyaW6yG3EGClweE2WxXH7WWB8/rWw81dQKOQ5m64bqmEUIIIbaopkmjptRtpSm1+rG3cY3qyh5bN9lbQsMe65hYHjUFsJIfDyfiVnYJ/OUyZBepUKLWQVLF2C9VEdybPYkBACt/6TRcXFRaHgycPhGj0SE1vwzMTPmaUmp0UGt5TIlojjAf5zq/XkPR6HjwYLDhz2+LEXCASktJGEIIIaQyTanbSk1a/TQG9jSuUV3Y45hGuy5loO+ifZj4w3G8tjEeE384jr6L9tlkrIB91jGxDmoJYwVxt/Kw82IGXB1EKFHrkFeihuiBaadrSywUQMczaHkGgeHrCgOOg4Dpp69Wa3lIxfpBf4uUWuQWq+HtIq31frU6HtlFKvRo7oGx3ZvV+TgaklrHgzHARhvqWBQHDmotb+0wCCGEEJvWlLqtNKVWPwb2NK5Rbdhj6yZ76xJnj3VMrIdawlhYmVqHr/ffhFrLw1EsQFqBvhWKSFg/bwUHQCoSQshx4MFQ7pOA48BxgJbnoeMZhAL94KyZCmWtZ0zS6nhkKJRo7euC94a3g7iejqWhiAQCfaugxjXAf60w1N+5RwghhDRWdZ1ZyZ5Yu9WPtWZkMnRRG9UlEBGhno3ivTSwt9ZNVSU0AH1Cw5Zm67K3OibWRS1hLOzIzVzcziuBj6sU+aUaKDU8pPX8ECzgAJlYCKVGBx0ztIj570LC3ZuuWqPjIRIIIRZyUGl55BSpEOThWKN9qbQ8sgtVaOXjgk9Gd4CPq+03wxUL9YkoSsLo60DaxGeJIoQQQqqjtjMr2Rtrtvqh8TQahr21brLHgbDtrY6JdVESxoIYY/j7gr4voEjAIa9YBQ5okAFsH0zEcA8M1stBn2XWMWacWSm/VAM/OV+tliz6WZA0KNPo0LmZHB8+3t4uEjAAIL43+xRPWRjwjFEShhBCiN2y9KCd1uy2Uttjrel21hqs1t66n9gTa7duqil7TGjYWx0T66IkjAVdyyrCxbQCyB3FKFRqodTwEDfgRVvAAQ4SITQ6Xj8jEGPGpA8HgAeg1TEIRRxEAg4qHY+CUk2VY8OUqXXILVbDRSbC8/1aIrpnEKSi+pldyRKcJSI4SUVQlKmtHYrV6XggQO5g7TAIIYSQGrNWqwlrTMdd22Ot7XaWbvVD42k0rPpq3WSppKc9JjSa0rhRpO4oCWNBZ27nQ6nh4eUswe27pWAMEDTwhYQDIBEKIBRwUGn0iRhDMgYAtDyDBIbEDIe8EjW8nCXlWufwjKGwTIMipQ4SEYfOzeR4dXArtPVzbdD4G4JAwKGdnwsOXM+xdihWZZgRq6WPk5UjIYQQQmqmKbWaqO2x1rWOLNnqxx67n1hbTRIi9dG6yZJJT3tMaDS16c6tyd6mLTeHkjAWdCOryDg0S4lSB0uOhyrkODhKhNDyDFodg5bnAaZPrqi1vH6AXk4/zXSJSguhQAC1jkeZRgeNlgEc4CIVIaqDH4Z18EPXYHe7O9nv18rXBQebeBJGo2MQCzmEeNnudOKEEELIg5pSq4naHmt91ZGlWv3UV/cTazycWWOftUmI1KV1k6WTnvaa0KhrC7LGkFxoaHVJBtpS/VISxkIYY0jIKIJUpE9uaHlWL1NS15RIoO96xDMBtDwPjY5BItJPa80Yg44H7pZo4CARQiISINTbGe39XRHq43wvK904uq6EeDmBAcYZopqiMo0OMrEQIV7UEoYQQhra119/jcWLFyMzMxOdO3fGihUr0KtXrwrLb968Ge+//z6Sk5PRqlUrLFq0CI899phxPWMMMTEx+OGHH1BQUICHH34Y3377LVq1amWJw7GqptRqorbHam91VB/dT6zRPc1a+6xtQqQ2rZuslfS014Gwa9uCjAalrlpdzn1bq19KwlhITpEK+aXqe4Pl6rsFiaz48C/gALFQAMZ4+LhI4eEkgVrLI7NQiYm9gjGycwA8nSVwkYmtFmNDauntBId7Axc7SZvmn4FSo0OIpzPkDo3zPSaEEFuxadMmzJ49G9999x169+6NZcuWYejQobh27Rp8fHzKlT927BgmTpyIBQsWYMSIEdiwYQNGjx6Ns2fPokOHDgCAzz//HF999RXWrFmDkJAQvP/++xg6dCiuXLkCmcx2xkloCPY4aGdt1fZY7a2O6tr9xBrd06yxz/pIiNS0dZM1E3rWHAi7Lmpax02pe2Vt1eXct8X6pWlRLKRIpYWW13f/UGl4AA0zK1JNGPZuaA3iIBFCJBBAo+PRwsup0SZgAP1gtK4OYpRpdNYOxWrUWob2AfY3pg8hhNibpUuXYsaMGZg+fTrCw8Px3XffwdHRET///LPZ8suXL0dUVBTmzZuHdu3a4eOPP0a3bt2wcuVKAPpWMMuWLcN7772HUaNGoVOnTvjll1+Qnp6OLVu2WPDIrMMeB+2srdoeq73VkaH7CfDf/alBVd1Pqno4A/QPZzq+/mbFtMY+gZolROqLtRN6hoTGqC6BiAj1tPkETE1Z61yyN7U99221fikJYyFaHQPTD61ic1Mjm4bDmkRiQiDg0CHQFWX3EmJNjY5n4DiglZ+LtUMhhJBGTa1W48yZMxg8eLBxmUAgwODBgxEXF2d2m7i4OJPyADB06FBj+aSkJGRmZpqUkcvl6N27d4Wv2ZgYWk1U9CjGQd/M3JYG7ayt2h6rPdaRofuJn9w0MeQnl1X6TbU1EhPW2CdgnYSIvSX07I21ziV7U9tz31brl5IwFmIY+Jbhvx+bcd8VmuM4qHVNIzExuJ0vhBwHlbbxJ50epCjTwM1RjEfCvKwdCiGENGq5ubnQ6XTw9fU1We7r64vMzEyz22RmZlZa3vBvTV5TpVKhsLDQ5AcArmcVGsvcyCpCekEZAH2X1UtpChSrtAD03aqvpP9X9lZOMVLzSwEAGh2PS2kKFCo1AIC8YhUupSmMZZNyS3Dnrr6sjme4lKaAolRfNr9EjUtpCuOMfbfzSnA7rwSAvsXPpTQF8kvUAABFqcb4ujEjwyu9l3pjaBskZBRCc++eJjW/FLdyio3rr6QXIqdIBQAoVmlxKU0B5b0vodILynAjq8hY9mpmIbIL9TfxpWrTspkKJa7fV/Z6VhEyFKZ1WHKvDrMLlUjI+K8Ob2YXIe1efau0+rJF9+owp0iFy+kKYwuRyo519qOtTF43KbcEaflllW7HoK/DtPwyJOeWGJdfSlPg7gP1rb1Xh3fuliLxvjq8nK5AbrG+DouU+rJqrb5sWkEZbmb/VzYho9D4cFTyQH1nKP6r76gO/vhpak98Pakblk/ogtXTe+K7yd0R2VrfbS+rUIlrmf/V942sIpNzuDIX0wqM9a3W8ib1nVusr2+DxJxi4zmrvXd+G87ZuyVqnLldvQe2pNxiXEpTGL9lT8krRdID9Z13rw4VZfo61NxX37ceqG9JNWf1KFPrjOesufp+8JzNvPeQajhnS9X/nbNyB1GlCT1An9Br6eVkM58Rhvq+c7fi+i5Umta3tT4jqnsupReUmv2MuL++DXVoqG9FWcX1nZJnWt8Fpfo6LCjV1zd/3zlrC58Rhu2qIhIITD4jLqQWVGu77CIlbmYX1/oz4sp966rDrpMwycnJePbZZxESEgIHBweEhoYiJiYGarW60u2USiVefvlleHp6wtnZGWPHjkVWVlaDxioTCyDgOH0LBJRvamlN9w8QzBiDTCS0YjSW0zvEE0EeDsgv0Vg7FItijKFEpcWgtr5wd5JYOxxCCCEWsGDBAsjlcuNPUFAQAODFtWeNZV759Ry+P5QIQP/gMGLFEVxM1d9Y/nk2FRN/OG4sO3fzeayIvQlA/5A0YsURnE7WP0z8fTEDY745Ziz73paL+PzfawD0DygjVhzBkZu5AIC9CVkYseKI8aHp4x1X8PGOKwD0DwcjVhzB3gT9PdqRm7kYseIIStVaRHXwR4/m7uUeSl1lInw7uRvkjmKMWHHE+HC2IvYm5m4+byw38Yfj+PNsKgDgYqoCI1YcMT6Ifn8oEa/8es5YdtrPp7D+RAoA4EZWMUasOGJ8sFsTl4wZv5w2ln1x7RmsOpoMAEi5W4oRK47g6r0Hgk2n7mDKzyeNZV/bGI/vDtwCAGQXqjBixRGcv6Ov763xaYj+n76+ozr4I9TbCQ5i02N1dxTj28ndoNYxjPr6qHH5B1svYeGuBER18MfyCZ1hzoqJXRDVwR+f7ryC+dsvG5ePWHEEuy/rE3lxifr6NiTivth9DW//edFYdty3cdh+Ph0AcDalACNWHEFeif6Ba+W+m5j9W7yx7FM/nsDm0/r6vpJRiBErjhgfdn48nISX1v93Hs745TQSMgoxqksgvJylGPX1UePD8dq423hm9Slj2ZfWn8WJxOo9xG48eQcr9+nP2bwSfX2fTSkAAGw/n45x3/7XiuztPy/ii936c7ZYpT9n4xL15+zuy5lYsvt6tfaZXqD/OzJ84bdwVwI+2HrJuH7U10ex6159n0y6ixErjqDw3oPzsr038ObvF4xlo/93HHfyS+Evr7jFiaGF0xd7rmPTqTsAgKuZRRix4ghS7j0wrjqajBfXnjFuM+OX01gTlwxA/3A+YsUR3MjS1/f6Eyl4ZvVpY1exisSMDMeW+DSb+owAgM//vYb3tvx3zo755hj+vpgBADidfNcmPiOqey6JhYIKPyMA4M3fL2DZ3hsAgMIyDUasOGJs3bHrcqbZzwhAnwAeseKIcdbY/deyMWLFEWh4fdLDVj4jvj+UWK1k4OV0hclnxC9xtyvZ4j8+LjLM/i2+1p8RT973XlQHx5iN9Y2pgV27dmHTpk2YOHEiwsLCcOnSJcyYMQNPP/00lixZUuF2M2fOxN9//43Vq1dDLpdj1qxZEAgEOHr0aIXbPKiwsBByuRwKhQKurlWPq6HV8Rj77TGUaXTQ8Qyp+WWQCDmrjgvDoM/ytfR2Mg7OeuduGSb0DMIrgxr/7AoAsOFECr7efxOBbjIIGlkf04qUqLQoVevw1cSuaB8gt3Y4hJAmrqbXU3ujVqvh6OiI33//HaNHjzYunzp1KgoKCrB169Zy2wQHB2P27Nl4/fXXjctiYmKwZcsWnD9/HomJiQgNDcW5c+fQpUsXY5nIyEh06dIFy5cvL/eaKpUKKpXK+HthYSGCgoJw6vod9GjVDIC+VYGTVIQANwcoNTrczC5GCy8nOEtFyClSIadIhfB7Y4ndyimGVCRAM3dHaHQ8rmUWIdjTEa4yMfKKVchQKNEhUH+NScotgUjAIcjDETqeISGjEEHujpA7ipFfokZaQRnaB7iC4zjjN9zNPZ3AGMPl9EIEujnA3UkCRakGd/JL0c7fFUIBhzt3S6HS8sgpUiG7SIkSlQ6D2/nAx1WGQqUGKXmlaOPnArFQgNR8fdlQb2cA+m+5vV2k8HaRolilRXJuCcJ8nCETC5FeUIYSlRatfPVddq9mFsLDUQIfVxlK1Vok5vxXNlOhRKFSg9b3yl7PKoKLTAR/+X91GOLlBCepCNmFSuSVqNHOX1+HN7OL4CARIdDNASqtDjeyitHc0xEuMrHxmAzX6Vs5xRAJOKQXKJGhKINSw2NYBz+4O0nM1reQ4xDs6Wj8lju7UIVSjRaOYhF8XKXoGCiHQMAhJa8UPGNocW+mxEtpCgS4OcDjvvpu6+cCkVCAO3dLodHxaHmvDi+nK+DrKoOXsxRFSg1u55Wita8LJCIB0grKUKbWIcxHXzYhoxCezhL4uMhQotIi6b76zlCUoVj5X31fyyyCm6MYvq4ylKl1uJVTjFBvZzhIhMgqVKKgVIM297pT38gqgoNEiPHfxVXY5cAwqO+a6b3gJNPXt1rL43pWkbG+c4tVyCr8r74Tc4ohFgoQ5OEIrY7H1cwi4zl7t0SNO3dL8eK6MxUOJAzoHwh3vNIXGQql8ZxNySuFjjHjzJSX0hTwl8vg6SyFokyDO3f/O2fv3C2FWvffOXs5XQEfFxnO3L6LF9edNbtPDsC3k7uhuacTPJ3056y5+i5Sak3OWVeZGH5ymfGcbentBEeJ/py9W6pGWz9X7LqUgfe2XEJu8X9fdns5S/De8HYY3bWZzX5GaHnz9W0rnxHXMovw/NrTyC5UVXouxc6JRGJOSaWfEZJ756yhvoM8HCF3MF/f939GJGQUopm7A9wcJSgoVSM1vwzh/q429xlxK6fY7AC7Bt9N7oauwe4mnxFXMwox5eeTyCmqvH6PvDkQSbklcJAIa/UZcfpGGiLaBVf7XsaukzDmLF68GN9++y0SExPNrlcoFPD29saGDRswbtw4AMDVq1fRrl07xMXF4aGHHqrWfmpz0zjv9/M4fisPrg4i3MwugVjIWWWaagMdz8AzoK2/C6QiARhjSC1Q4s2otni8c4DV4rKk7EIlpq46CZ4xuDs2jVYhafll6BLkhq8mdrX64NCEENLYkzAA0Lt3b/Tq1QsrVqwAAPA8j+DgYMyaNQtvvfVWufLR0dEoLS3F9u3bjcv69OmDTp064bvvvgNjDAEBAZg7dy7mzJkDQF+PPj4+WL16NSZMmFBlTE2h3knTYZj9BDDt8m+4y2nI2ZEsuc/7922N6XZ1PLO7mYrsgTXPJXtTm3PfEvVb02tqo5ubV6FQwMOj4kHGzpw5A41GYzKYXdu2bREcHFxpEsbcN0g11cbXBXG38iATCyEQcOCZfqpoa+EZg1AggPReU161lodEKEDLe5nOpsDHVYZ+rbyx/UIG3BxYo09KaHQ8GIDhnQIa/bESQoitmD17NqZOnYoePXqgV69eWLZsGUpKSjB9+nQAwJQpUxAYGIgFCxYAAF577TVERkbiiy++wPDhw7Fx40acPn0a33//PQD9+G2vv/46PvnkE7Rq1co4RXVAQIBJaxtCmgrDoL4PPpz5NWBiwhr7vH/f1pi6uaZTL5Pqsea5ZG9qc+7bYv02qiTMzZs3sWLFikq7ImVmZkIikcDNzc1keWWD2QH6vtTz58+vU3ztA+QQchx4nkFimKrailkYHQPcZCJjGrBMw0MmFhib7DUVj3X0x96ELBQqtcZuWY1VTpEaAW4O6NeaBuQlhBBLiY6ORk5ODj744ANkZmaiS5cu2LVrl3Fg3ZSUFAgE/4330adPH2zYsAHvvfce3nnnHbRq1QpbtmxBhw4djGXeeOMNlJSU4Pnnn0dBQQH69u2LXbt2QSajGUpI02SNxIS1kiEAJUQaG2ueS/amNue+rdWvTXZHeuutt7Bo0aJKyyQkJKBt27bG39PS0hAZGYn+/fvjxx9/rHC7DRs2YPr06SatWgCgV69eGDBgQIX7ragvdU2a8Wp1PKavOoWU/FLoeB7ZhWpIRdYZF0bHGHQ8Q6i3M1xk+lxcWn4ZeoV44Isnu1g8Hmv7Yvc1/HE2FQFyGUTVHHne3hQp9WPBfDAiHAPa+lg7HEIIAUDdYqyF6p0QQgipH42iO9KcOXMwbdq0Ssu0bNnS+P/09HQMGDAAffr0MTbVrYifnx/UajUKCgpMWsNkZWXBz8+vwu2kUimkUmm14q+ISCjAiM7++Cr2JtwdJcgrVoNngNAKCTitjsFRIoSLVH8KqLU8OI7D8E5Ns7nbc4+0xNmUfKTklSLATdbouuroeIb8UjWGd/RH/zbe1g6HEEIIIYQQQpokm0zCeHt7w9u7eg+KaWlpGDBgALp3745Vq1aZNOc1p3v37hCLxYiNjcXYsWMBANeuXUNKSgoiIiLqHHtVBrXzxbrjKShWaeAkEaFIpYFQYNkpofl7jZ88naXGrkj5pWr4y2XoE9o0u6nIHcSYNaAV3ttysVF2S8oqVKGZuyNeiAxtdAkmQgghhBBCCLEXdt3vIi0tDf3790dwcDCWLFmCnJwcZGZmmoztkpaWhrZt2+LkyZMAALlcjmeffRazZ8/G/v37cebMGUyfPh0RERHVnhmpLrycpXj6oebQ6hhcHEQAOOO895bAAKh1DE5SETyc9LMBaXU81FqGxzr6Qya2bELIlkSEeuKxjv5QlGmg1fHWDqfeFCm1EAo4zIwMhZdz3VpzEUIIIYQQQgipPZtsCVNde/bswc2bN3Hz5k00a9bMZJ1hqBuNRoNr166htLTUuO7LL7+EQCDA2LFjoVKpMHToUHzzzTcWi3tMt0Acu5WHk0l5cJaJUFSmgYATWKSFglbHQyTgEOTuAAGnr6esQhVaejlhdNfABt+/rXvukZY4l5KP5NxSBLrbf7ckjY6nbkiEEEIIIYQQYiNscmBee1DXAe2Sckvw6q/nkFesQkGZRj9jkqhhGybpeAYtzxDg5gBfV32LCEWZBmotj0+f6IiHWtII6wBw/k4B3ttyCYoyfRcte03EaHU80hVKtA9wxedjO8P9XssnQgixJTRArHVQvRNCCCH1o6bXVLvujmTPQrycMG9oGzjLRHAQC8GABu2WpOMZNDyDh5MEPi76BIxKq0NhmRYjOgVQAuY+nYPc8M5j7eAkESGrUAV7zFPqeIYMhQphPs74eFRHSsAQQgghhBBCiA2gJIwV9WvtjblD2sDTWQKJUACNjm+QRIz2XgsYD0cJgjwcwXH62ZCyC1Xo3twdM/q1rPpFmpiIUE/Mi2oDqUiIDIV9JWK0Oh7pBWVo7umIT0Z1hJ9cZu2QCCGEEEIIIYTAzseEsSbDQ3lhYWGdXuehIEfM6R+M5Xuv41ZuGZQqBrGQg1BQ9y4wDIBay8BxgIejBAGOYuiUJSjV6JBdrEKHADnm9A8CrypFoarOu2t0egQ44PXIZvhy73XcySqBr6sUAhvvmqTW8sguUiHUxwnvPdoCbmJtnc9RQghpSIbPKHtKdjcG9XUfQwghhDR1Nb2XoTFhaik1NRVBQUHWDoMQQghpFO7cuVNukH3ScOg+hhBCCKlf1b2XoSRMLfE8j/T0dLi4uNjcwK2FhYUICgrCnTt3GtVge3Rc9oWOy77QcdmXxnRcjDEUFRUhICAAAgH1kraUhriPaUznZUOieqoa1VH1UD1VjeqoeqieqlZZHdX0Xoa6I9WSQCCw+W/sXF1dG+UfER2XfaHjsi90XPalsRyXXC63dghNTkPexzSW87KhUT1VjeqoeqieqkZ1VD1UT1WrqI5qci9DXzkRQgghhBBCCCGEWAAlYQghhBBCCCGEEEIsgJIwjZBUKkVMTAykUqm1Q6lXdFz2hY7LvtBx2ZfGelzEvtF5WT1UT1WjOqoeqqeqUR1VD9VT1eqzjmhgXkIIIYQQQgghhBALoJYwhBBCCCGEEEIIIRZASRhCCCGEEEIIIYQQC6AkDCGEEEIIIYQQQogFUBKGEEIIIYQQQgghxAIoCWMnvv76a7Ro0QIymQy9e/fGyZMnKy2/efNmtG3bFjKZDB07dsTOnTtN1k+bNg0cx5n8REVFNeQhmFWT47p8+TLGjh2LFi1agOM4LFu2rM6v2VDq+7g+/PDDcu9X27ZtG/AIzKvJcf3www945JFH4O7uDnd3dwwePLhcecYYPvjgA/j7+8PBwQGDBw/GjRs3Gvowyqnv47LHv68///wTPXr0gJubG5ycnNClSxesXbvWpIw9vl/VOS57fL/ut3HjRnAch9GjR5sst5X3izQdtnD9tWW2ci23JYcOHcLIkSMREBAAjuOwZcsWk/X0OVZ1HdnKNcyaFixYgJ49e8LFxQU+Pj4YPXo0rl27ZlJGqVTi5ZdfhqenJ5ydnTF27FhkZWVZKWLrqE499e/fv9z59OKLL1opYsv79ttv0alTJ7i6usLV1RURERH4559/jOvr6zyiJIwd2LRpE2bPno2YmBicPXsWnTt3xtChQ5GdnW22/LFjxzBx4kQ8++yzOHfuHEaPHo3Ro0fj0qVLJuWioqKQkZFh/Pn1118tcThGNT2u0tJStGzZEgsXLoSfn1+9vGZDaIjjAoD27dubvF9HjhxpqEMwq6bHdeDAAUycOBH79+9HXFwcgoKCMGTIEKSlpRnLfP755/jqq6/w3Xff4cSJE3BycsLQoUOhVCotdVgNclyA/f19eXh44N1330VcXBwuXLiA6dOnY/r06fj333+NZezx/arOcQH2934ZJCcnY+7cuXjkkUfKrbOF94s0HbZw/bUH1r6W25qSkhJ07twZX3/9tdn19DlWdR0B1r+GWdvBgwfx8ssv4/jx49izZw80Gg2GDBmCkpISY5n/+7//w/bt27F582YcPHgQ6enpGDNmjBWjtrzq1BMAzJgxw+R8+vzzz60UseU1a9YMCxcuxJkzZ3D69GkMHDgQo0aNwuXLlwHU43nEiM3r1asXe/nll42/63Q6FhAQwBYsWGC2/JNPPsmGDx9usqx3797shRdeMP4+depUNmrUqAaJt7pqelz3a968Ofvyyy/r9TXrS0McV0xMDOvcuXM9Rllzda1brVbLXFxc2Jo1axhjjPE8z/z8/NjixYuNZQoKCphUKmW//vpr/QZfifo+Lsbs/+/LoGvXruy9995jjDWe94sx0+NizH7fL61Wy/r06cN+/PHHcsdgK+8XaTps4fpr62zhWm7LALC//vrL+Dt9jpX3YB0xZhvXMFuTnZ3NALCDBw8yxvTnjVgsZps3bzaWSUhIYABYXFyctcK0ugfriTHGIiMj2WuvvWa9oGyQu7s7+/HHH+v1PKKWMDZOrVbjzJkzGDx4sHGZQCDA4MGDERcXZ3abuLg4k/IAMHTo0HLlDxw4AB8fH7Rp0wYzZ85EXl5e/R9ABWpzXNZ4TVuK4caNGwgICEDLli3x1FNPISUlpa7hVlt9HFdpaSk0Gg08PDwAAElJScjMzDR5Tblcjt69e9vV+/XgcRnY898XYwyxsbG4du0a+vXrB6BxvF/mjsvAHt+vjz76CD4+Pnj22WfLrbOF94s0HbZw/bUX1ryW2xv6HKs+a17DbJFCoQAA473ZmTNnoNFoTM6ltm3bIjg4uEmfSw/Wk8H69evh5eWFDh064O2330Zpaak1wrM6nU6HjRs3oqSkBBEREfV6HonqO1hSv3Jzc6HT6eDr62uy3NfXF1evXjW7TWZmptnymZmZxt+joqIwZswYhISE4NatW3jnnXcwbNgwxMXFQSgU1v+BPKA2x2WN17SVGHr37o3Vq1ejTZs2yMjIwPz58/HII4/g0qVLcHFxqWvYVaqP43rzzTcREBBg/OAynI9VnasNqSGOC7Dfvy+FQoHAwECoVCoIhUJ88803ePTRRwHY9/tV2XEB9vl+HTlyBD/99BPi4+PNrreF94s0HbZw/bUH1r6W2xv6HKsea1/DbA3P83j99dfx8MMPo0OHDgD055JEIoGbm5tJ2aZ8LpmrJwCYNGkSmjdvjoCAAFy4cAFvvvkmrl27hj///NOK0VrWxYsXERERAaVSCWdnZ/z1118IDw9HfHx8vZ1HlIRpoiZMmGD8f8eOHdGpUyeEhobiwIEDGDRokBUjI+YMGzbM+P9OnTqhd+/eaN68OX777Tez34LbmoULF2Ljxo04cOAAZDKZtcOpNxUdl73+fbm4uCA+Ph7FxcWIjY3F7Nmz0bJlS/Tv39/aodVJVcdlb+9XUVERnn76afzwww/w8vKydjiEkGqy92s5sU32dg1raC+//DIuXbrU5MdbqkpF9fT8888b/9+xY0f4+/tj0KBBuHXrFkJDQy0dplW0adMG8fHxUCgU+P333zF16lQcPHiwXvdB3ZFsnJeXF4RCYblRl7OysiocxNXPz69G5QGgZcuW8PLyws2bN+sedDXU5ris8Zq2GoObmxtat25tF+/XkiVLsHDhQuzevRudOnUyLjdsZ6/vV0XHZY69/H0JBAKEhYWhS5cumDNnDsaNG4cFCxYAsO/3q7LjMsfW369bt24hOTkZI0eOhEgkgkgkwi+//IJt27ZBJBLh1q1bNvF+kabDFq6/9sjS13J7Q59jtWPpa5gtmTVrFnbs2IH9+/ejWbNmxuV+fn5Qq9UoKCgwKd9Uz6WK6smc3r17A0CTOp8kEgnCwsLQvXt3LFiwAJ07d8by5cvr9TyiJIyNk0gk6N69O2JjY43LeJ5HbGwsIiIizG4TERFhUh4A9uzZU2F5AEhNTUVeXh78/f3rJ/Aq1Oa4rPGathpDcXExbt26ZfPv1+eff46PP/4Yu3btQo8ePUzWhYSEwM/Pz+Q1CwsLceLECZt/vyo7LnPs9e+L53moVCoA9v1+Pej+4zLH1t+vtm3b4uLFi4iPjzf+PP744xgwYADi4+MRFBRkE+8XaTps4fprjyx9Lbc39DlWO5a+htkCxhhmzZqFv/76C/v27UNISIjJ+u7du0MsFpucS9euXUNKSkqTOpeqqidzDN2em9L59CDDfWO9nkf1OXIwaRgbN25kUqmUrV69ml25coU9//zzzM3NjWVmZjLGGHv66afZW2+9ZSx/9OhRJhKJ2JIlS1hCQgKLiYlhYrGYXbx4kTHGWFFREZs7dy6Li4tjSUlJbO/evaxbt26sVatWTKlU2uxxqVQqdu7cOXbu3Dnm7+/P5s6dy86dO8du3LhR7de01+OaM2cOO3DgAEtKSmJHjx5lgwcPZl5eXiw7O9tmj2vhwoVMIpGw33//nWVkZBh/ioqKTMq4ubmxrVu3sgsXLrBRo0axkJAQVlZWZrfHZa9/X5999hnbvXs3u3XrFrty5QpbsmQJE4lE7IcffjA5dnt7v6o6Lnt9vx5kbnYMW3i/SNNhC9dfW2cL13JbU1RUZLwHAsCWLl3Kzp07x27fvs0Yo88xxiqvI1u5hlnbzJkzmVwuZwcOHDC5NystLTWWefHFF1lwcDDbt28fO336NIuIiGARERFWjNryqqqnmzdvso8++oidPn2aJSUlsa1bt7KWLVuyfv36WTlyy3nrrbfYwYMHWVJSErtw4QJ76623GMdxbPfu3Yyx+juPKAljJ1asWMGCg4OZRCJhvXr1YsePHzeui4yMZFOnTjUp/9tvv7HWrVsziUTC2rdvz/7++2/jutLSUjZkyBDm7e3NxGIxa968OZsxY4ZVbpRqclxJSUkMQLmfyMjIar+mpdT3cUVHRzN/f38mkUhYYGAgi46OZjdv3rTgEenV5LiaN29u9rhiYmKMZXieZ++//z7z9fVlUqmUDRo0iF27ds2CR6RXn8dlr39f7777LgsLC2MymYy5u7uziIgItnHjRpPXs8f3q6rjstf360HmkjC28n6RpsMWrr+2zFau5bZk//79Zq+phs87+hyrvI5s6RpmTebqBwBbtWqVsUxZWRl76aWXmLu7O3N0dGRPPPEEy8jIsF7QVlBVPaWkpLB+/foxDw8PJpVKWVhYGJs3bx5TKBTWDdyCnnnmGda8eXMmkUiYt7c3GzRokDEBw1j9nUccY4zVrO0MIYQQQgghhBBCCKkpGhOGEEIIIYQQQgghxAIoCUMIIYQQQgghhBBiAZSEIYQQQgghhBBCCLEASsIQQgghhBBCCCGEWAAlYQghhBBCCCGEEEIsgJIwhBBCCCGEEEIIIRZASRhCCCGEEEIIIYQQC6AkDCFNSIsWLcBxHFavXl1puf79+4PjOHz44YfVfu3k5GRwHAeO45CcnFynOAkhhBBCDBhj2LRpE8aMGYOgoCDIZDK4u7ujS5cueOONN5CSkmJ2uw8//LDG9zOkYgcOHADHcejfv7+1QyHErlEShhBCCCGEEGKT0tPT8dBDD2HChAnYsmUL/Pz8MHr0aDzyyCNIS0vD4sWL0bp1a3z99dfWDtXuGb5MI4Q0LJG1AyCEEEIIIYSQB+Xn5+ORRx5BYmIiunbtirVr16J9+/bG9VqtFsuXL8ebb76JWbNmQafT4dVXX7VixI1br169kJCQAEdHR2uHQohdo5YwhBBCCCGEEJsza9YsJCYmIiQkBPv27TNJwACASCTCnDlzsHz5cgDA3LlzkZCQYI1QmwRHR0e0bdsWwcHB1g6FELtGSRhCiFWlp6dj9uzZaNeuHRwdHeHi4oKePXti5cqV0Gq1JmUjIiLAcRw2btxY4eutXLkSHMfhiSeeKLfuzJkzeOqppxAcHAypVAoPDw8MHToUO3fuNPtahjF0kpOTsXXrVgwcOBAeHh7gOA4HDhwAAOTk5OCrr77CY489hpCQEDg4OMDV1RU9evTAokWLoFQqK4z10qVLGDt2LLy8vODo6IiOHTti2bJl4HneZN8P0mq1+PHHH9G/f394eHhAKpUiJCQEM2fOxJ07dyrcHyGEEGIvEhMTjdf7JUuWwM3NrcKyL730Ejp37gyNRoPPP//cbJnbt29jypQp8Pf3h0wmQ+vWrfHhhx+irKzMbPnNmzdj8ODB8PT0hFgshqenJ8LDwzFjxgxcuHDB7Da///47oqKi4O3tDYlEgsDAQEyePBlXrlwpV9Ywll6LFi2g0+mwdOlSdO3aFc7OzuA4DgUFBXBwcIBQKERaWlqFxz5u3DhwHGdMRBmOddGiRRg4cKDxnsfNzQ19+/bF//73P/A8b/IahrFzDAzdkh4c66+qMWGuXr2K6dOno3nz5sb7rEGDBuG3334zW/7+MXtycnLw8ssvIygoCBKJBEFBQXjllVdQUFBQ4bETYrcYIaTJaN68OQPAVq1aVWm5yMhIBoDFxMRU+7WTkpIYAAaAJSUlVWubgwcPMnd3dwaAtWjRgj3++ONs6NChxmVDhgxharXaWP5///sfA8CGDh1a4Wt269aNAWDbtm0zWb5s2TImEAgYANalSxc2btw41rdvXyaRSBgANn/+/HKvZaivWbNmMQCsR48ebOLEiSwyMpIdOnSIMcbY2rVrGQAWGBjIIiMj2YQJE9igQYOYs7MzA8AiIiKYUqks99oHDhxgDg4ODAALDQ1lEyZMYI8++iiTSCQsOjrauO8H67KwsJD179+fAWDOzs4sMjKSjRs3jrVp04YBYJ6enuzs2bPVqn9CCCHEVi1btowBYG5ubkyj0VRZfsmSJcbrIM/zjDHGYmJiGAA2ZcoU5unpyXx9fdn48ePZiBEjmJOTEwPAHn74YVZWVmbyWvPnz2cAmEgkYv369WMTJ05kjz32GOvQoQPjOI59+eWXJuU1Gg178sknGQAmlUpZnz592Pjx41nnzp0ZAObg4MD++ecfk20M903BwcHs8ccfZxKJhA0aNIhNnDiRderUiTHG2MSJExkAtmDBArPHnJubyyQSCZNIJCw3N9e4/OOPP2YAWEhICBs0aBCbMGECi4yMNN7zjBkzxlhHjDH2119/salTpxrv46ZOnWryk5OTwxhjbP/+/QwAi4yMLBfLjh07mEwmYwBYmzZt2IQJE9jAgQOZUChkANgzzzxTbhvD+/PMM8+wZs2aMV9fXzZmzBj22GOPMblczgCwnj17mtwLEtIYUBKGkCbElpIwGRkZzNPTk3Ecx7755hum0+mM63Jzc9nAgQPLJUcUCgVzdHRkAoGApaamlnvN8+fPMwDM19fX5IZt165djOM45uXlxQ4ePGiyzYULF1izZs0YAHbgwAGTdYb6EgqFbOvWrWaP48qVKywuLq7c8rt377IhQ4YwAOzzzz83WVdaWsoCAwMZADZnzhyTY798+TLz9fWtsC4nTZrEALARI0awrKwsk3VffvklA8BatWrFtFqt2XgJIYQQe/D0008zAGzAgAHVKn/w4EHjtTMxMZEx9t9DPgA2atQoVlpaaix/584d1rp1awaAvfXWW8blSqWSOTg4MGdnZ3b16tVy+0lOTmYJCQkmy9555x0GgPXu3du4b4PNmzczoVDI3N3dWX5+vnH5/fdNzZo1Y9euXSu3rz179jAArG3btmaPefny5QwAGzt2rMnykydPsosXL5Yrn5aWZkwM/fbbb+XWG+KpSEVJmMzMTGPS5JNPPjFJ8Jw6dcr45dr3339vst3978+0adNMvrRKSUkx3itt2LChwpgIsUeUhCGkCTEkFar705BJmDfffNPYysSc1NRUJhaLmbe3t8nF3HBT9tlnn5Xb5vXXX2cA2Ny5c02W9+7dmwFgv//+u9l9/fbbb2ZvYgz1Ze7bm+q4du2a8Vuc+/3yyy8MAGvevLnZb3dWrlxpti6vXLnCOI5jAQEBrLCw0Ow+H3vsMQaAbd++vVYxE0IIIbYgKiqKAWATJkyoVvmrV68ar50nTpxgjP33kO/g4MAyMjLKbbN9+3YGgLm6uhpbw2RnZzMAxtYoVcnLy2MODg5MJpOZ/YKIMcZeeuklBoCtWLHCuOz++6ZffvnF7HY8zxvvRY4dO1ZufZcuXRgAtmPHjmrFyhhj//77LwPAxo8fX25dbZMwhpY33bt3N7udoZVSq1atTJYb3p9mzZqxkpKSctstXLiwTvdhhNgqmh2JkCbo4YcfRlhYWIXrd+3ahaysrAaN4e+//wYAREdHm10fGBiIVq1a4cqVK7hx4wZat24NAJg+fTrWrl2LNWvW4O233zaW12g0WL9+PQDgmWeeMS7Pzc3FyZMn4eDggJEjR5rdl6Fv87Fjx8yuHzduXKXHotPpcODAARw7dgwZGRkoKysD0ye5AQDXrl0zKX/w4EEAwPjx4yEWi8u93lNPPYVZs2aVW75z504wxjBs2DC4uLhUeCw7d+7EsWPHMGLEiErjJoQQQhoLwzXXnCFDhsDPz6/c8hEjRsDT0xN5eXk4e/Ys+vTpA29vb7Ro0QIXLlzAnDlz8OyzzyI8PLzC196/fz/KysowaNAgBAYGmi3Tv39/fPPNNzh27JjZ6/vYsWPNbsdxHKZOnYqPPvoIq1evRkREhHFdfHw84uPj4e/vj6ioqHLbqlQq7N69G6dOnUJ2djZUKhUYYygqKgJQ/t6kLgzj5E2dOtXs+meffRZz587FjRs3kJ6ejoCAAJP1gwYNMjvjUrt27QCg0jFxCLFHlIQhpAl67rnnMG3atArX9+/fv8GTMImJiQCARx55pMqyOTk5xiRM//790bJlS1y7dg3Hjh1Dnz59AAA7duxATk4OevfubbxoA0BSUhIYYygrK4NUKq1yP+a0aNGiwm1u3LiBJ554ApcvX66wTGFhocnvqamplb6um5sb5HI5FAqFyXJDnf3000/46aefKtwfUPGxEEIIIfbAy8sLAKp9P5KdnW38v7e3t8m6kJCQCrdr0aIF8vLyjNdmAPjll18wbtw4LF26FEuXLoWHhwd69+6NRx99FE8//bQxNuC/a3NsbKzJ4LbmmLs2+/j4VDrl8/Tp0/Hxxx9j06ZNWLZsGRwcHAAAq1atAgBMmTIFQqHQZJvjx48jOjoaKSkpFb7ug/cmdWFIklRUz25ubvDw8MDdu3eRmppaLglT0WxLrq6uAFDpJAeE2CNKwhBCrMIwMv+4cePg5ORUaVlPT0/j/zmOw7Rp0/DBBx9g9erVxiSM4WZk+vTpZvfj7Oxc4TdNVTHc8Jgzbtw4XL58GSNGjMAbb7yB8PBwuLq6QiwWQ61WV5r4qexmzdw6w7F06dIFnTt3rjTm3r17V7qeEEIIsWXdu3fHunXrcPbsWWi1WohElT+2nDx5EoD+nqGyL08qcn9LmkceeQTJycn4+++/cfDgQRw7dgz//vsv/vnnH8TExOCvv/7CoEGDAPx3bQ4LC8PDDz9c6T7atm1bblll9xiAPkk0YMAA7Nu3D3/99RcmTZoEjUaDDRs2ACh/31NaWorRo0cjKysL06dPx8yZMxEWFgZXV1cIhUJcv34dbdq0qbTlkKUJBDRhL2laKAlDCLGKoKAg3LhxA2+++SZ69OhRo22nTp2KDz/8EJs2bcLy5ctRWFiIf/75Bw4ODpgwYUK5/QD6pMbPP/9crxf6q1ev4sKFC/Dx8cFff/1V7gbxxo0bZrczNFc2N/00ACgUCrNTMhqO5eGHH8bKlStrHzghhBBi40aOHIk5c+ZAoVBg69atlX6RwhjD2rVrAei7GD34RUZSUlKF2xquxc2aNTNZ7uDggHHjxhm7JOfk5OC9997D999/j2eeeQa3b98G8N+1uU2bNli9enWNjrG6pk+fjn379mHVqlWYNGkStm/fjtzcXPTp0wdt2rQxKXvo0CFkZWWhW7du+Pnnn8u9VkX3JnURGBiIq1evGlsFPUihUODu3bvGsoQ0dZR2JIRYxbBhwwAAv/32W423DQ4OxqBBg1BYWIg///wT69atg1arxZgxYyCXy03KBgQEoFOnTigqKsKuXbvqJXYDww1FQECA2W/o1q1bZ3a7fv36AQA2b94MrVZbbr3h260HGeps27Zt1DSXEEJIoxYaGoonn3wSADBv3jyzX04YfPPNN7hw4QJEIhHmzZtXbv3u3btNuisZ7Ny5E3l5eXBxcUH37t0rjcfb2xuff/45ACAlJQX5+fkA9OOZSCQSHDhwwOw+6sPYsWMhl8uxb98+3Llzp8LWv8B/9yYVdfGp6N4EgHGcOnP3JpUxjK23Zs0as+sNyaBWrVpREoYQUBKGEGIl8+bNg5ubG5YuXYovvvgCarW6XJmkpKQKbxYMg++uWrWq0psRAPjkk0+M67dv315uPWMMJ06cwO7du2t0DK1bt4ZQKMTFixeNg9IZbN++HV9++aXZ7caPHw9/f38kJyfj3XffNTZlBvStaz766COz23Xt2hVjx47FnTt3MGbMGLMtaUpKSrB+/foGH9OHEEIIaWhff/01WrRogaSkJAwcOLDc+GtarRZLly7Fa6+9BgBYtGgR2rdvX+51ysrKMHPmTJSVlRmXpaenY86cOQCAF198ETKZDABw+/Zt/Pjjj2bHTDHcQ7i7uxvHK/H19cUrr7yCkpISjBw5EhcvXiy3nUqlwrZt23D16tXaVIOxpS/P81i0aBF27doFR0dHs5MbGMbFi42NxZUrV0zWff/999i0aVOF+zG0BqpsnDtzZsyYAVdXV5w9exafffaZSVenc+fOGe/DzCXICGmSrDQrEyHECgzTHK5atarScpGRkXWaorpLly6sd+/eFf4YHDx4kHl5eTEAzMfHhw0cOJA99dRTbMSIESw0NJQBMCl/v7KyMubu7m7cZ4sWLUymsn7Q8uXLmUgkYgBYWFgYGz58OJs0aRJ79NFHmY+PDwPA3nzzTbP1VdmU26+99hoDwAQCAYuMjGQTJ05k3bp1YwDYe++9V+F0j7GxsUwmkxnjmTBhAhsyZAiTSCRs/PjxLDg4mAFgaWlpJtsVFhayQYMGMQBMIpGwnj17sieffJKNHz+e9ezZk0kkEgaAJSQkVBgzIYQQYi9SU1NZjx49GADGcRzr2bMnzry1NQAAA9pJREFUmzBhAnv88ceZt7e38Xq4bNmyctsapkCeMmUK8/DwYH5+fmz8+PFs5MiRzMnJiQFgERERrLS01LjNuXPnGAAmFouN19gnn3ySde3a1RjDjz/+aLIfjUbDJk2aZLwf6Nq1Kxs7diyLjo5mDz/8sHFf//zzj3Ebw31T8+bNq1UPx48fN95TGI6pIqNGjTLWy5AhQ9iECRNY27ZtGcdx7N13361wv3PnzmUAmJeXF3vyySfZs88+y5599lmWm5vLGKt4imrG9NN9G+5r2rZtyyZOnMgGDRpkvPeaPn16uW0M709F95uV7Y8Qe0ZJGEKaEEslYar6uV9WVhZ7//33Wbdu3ZiLiwuTSCSsWbNmrE+fPiwmJoZduHChwn2+9NJLxtesTqwXL15kzz//PGvVqhWTyWTM0dGRtWzZkg0dOpR99dVX5RIe1UnC8DzPfvrpJ9a9e3fm7OzM5HI569u3L9u4cSNjjFWYhGGMsfPnz7MnnniCeXh4MJlMxsLDw9nixYuZSqViEomECQQCVlZWVm47nU7HNmzYwB577DHm6+vLxGIx8/T0ZB06dGDTp09nf/31F1Or1VXWByGEEGIPdDod+/XXX9moUaNYQEAAk0gkzNXVlXXs2JHNmTOnwuv0/Q/5iYmJbOLEiczX15dJJBIWFhbGPvjgA1ZSUmKyTWFhIVu2bBl74oknWKtWrZizszNzcnJirVu3ZlOmTGGnT5+uMM6dO3eyMWPGsMDAQCYWi5mbmxtr164dmzBhAtuwYYPJvmqahGGMsfbt2xvvK/bv319hObVazRYvXsw6duzIHB0dmYeHBxsyZAjbvXt3pfstKytjb7zxBgsLCzN+qXP/fVBVSZErV66wqVOnsmbNmhmPf8CAAcZ7ogdREoY0VRxjNjQ0NiGEEBw6dAiRkZHo2LEjLly4YO1wCCGEEEIIIfWExoQhhBAryMnJMTtbw6VLlzBjxgwAFY9xQwghhBBCCLFP1BKGEEKs4MCBAxgwYADCw8PRsmVLODg4ICkpCWfPngXP83j00Uexc+dOs7MuEUIIIYQQQuwTJWEIIcQK0tPT8dlnn+HgwYNIS0tDUVERXFxc0L59e0yaNAkzZsygBAwhhBBCCCGNDCVhCCGEEEIIIYQQQiyAxoQhhBBCCCGEEEIIsQBKwhBCCCGEEEIIIYRYACVhCCGEEEIIIYQQQiyAkjCEEEIIIYQQQgghFkBJGEIIIYQQQgghhBALoCQMIYQQQgghhBBCiAVQEoYQQgghhBBCCCHEAigJQwghhBBCCCGEEGIBlIQhhBBCCCGEEEIIsYD/B4jF1ps3Vow0AAAAAElFTkSuQmCC\n", "text/plain": [ - "<Figure size 957.6x295.2 with 2 Axes>" + "<Figure size 1330x410 with 2 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3853,9 +4015,11 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 69, "id": "7a441682", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "high_leverage_point = np.argmax(diagnostics.hat_matrix_diag)\n", @@ -3864,20 +4028,20 @@ }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 70, "id": "0d8019bc", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ - "<Figure size 957.6x295.2 with 2 Axes>" + "<Figure size 1330x410 with 2 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3898,7 +4062,9 @@ { "cell_type": "markdown", "id": "29b9eb6d", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The leverage for a point tells how much the model would change if we move the response value of that point, while Cook's distance reflects how much the model changes if we omit the point.\n", "\n", @@ -3911,6 +4077,7 @@ "cell_type": "markdown", "id": "57e0be6f", "metadata": { + "heading_collapsed": true, "jp-MarkdownHeadingCollapsed": true, "tags": [] }, @@ -3921,7 +4088,9 @@ { "cell_type": "markdown", "id": "73598e37", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "### Data transformation" ] @@ -3929,29 +4098,30 @@ { "cell_type": "markdown", "id": "b229d5e0", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "In the previous simulated data example, the relationship between the explanatory and response variables is actually not linear. The true model is:" ] }, { "cell_type": "code", - "execution_count": 101, + "execution_count": 71, "id": "b5b96410", "metadata": { + "hidden": true, "scrolled": true }, "outputs": [ { "data": { - "image/png": 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\n", 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"text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -3962,7 +4132,9 @@ { "cell_type": "markdown", "id": "433fbffe", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Such simple non-linear relationships are common and a useful trick consists in transforming the explanatory variables using monotonous functions.\n", "\n", @@ -3971,20 +4143,20 @@ }, { "cell_type": "code", - "execution_count": 102, + "execution_count": 72, "id": "709f2da0", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 1080x576 with 6 Axes>" + "<Figure size 1500x800 with 6 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -4006,7 +4178,9 @@ { "cell_type": "markdown", "id": "a8c3ba5c", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Generic standardization functions exist, such as the [Box-Cox transform](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.boxcox.html) in `scipy`, but they often require the explanatory variable to take positive values and the interpretation of the relationship becomes less straight-forward." ] @@ -4014,7 +4188,10 @@ { "cell_type": "markdown", "id": "5150655f", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Polynomial regression" ] @@ -4022,27 +4199,29 @@ { "cell_type": "markdown", "id": "9cd56cd7", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Let us consider some almost-linearly related data:" ] }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 73, "id": "02debff3", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -4060,7 +4239,9 @@ "df = pd.DataFrame({'x': x, 'y': y})\n", "\n", "ax = sns.scatterplot(x='x', y='y', data=df, label='observations')\n", - "ax.plot(x, y_th, 'r-', label='true relationship')\n", + "\n", + "#ax.plot(x, y_th, 'r-', label='true relationship') # uncomment\n", + "\n", "ax.set_xlabel('$x$ (explanatory)')\n", "ax.set_ylabel('$y$ (response)')\n", "ax.legend();" @@ -4069,27 +4250,29 @@ { "cell_type": "markdown", "id": "32cc46cf", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "A linear model performs very well, but the structured errors leave no doubt the model is not flexible enough:" ] }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 74, "id": "32746edb", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ - "<Figure size 957.6x295.2 with 2 Axes>" + "<Figure size 1330x410 with 2 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -4106,7 +4289,9 @@ { "cell_type": "markdown", "id": "c2a8c0e8", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "A flexible approach consists of introducing powers of the explanatory variable, in the shape of multiple data columns.\n", "\n", @@ -4120,9 +4305,11 @@ }, { "cell_type": "code", - "execution_count": 105, + "execution_count": 75, "id": "9a3edfab", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -4194,7 +4381,7 @@ "4 2.486747 0.075106 0.005641" ] }, - "execution_count": 105, + "execution_count": 75, "metadata": {}, "output_type": "execute_result" } @@ -4206,9 +4393,11 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 76, "id": "24c100a8", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "poly2_model = ols('y ~ 1 + x + x2', augmented_df).fit()" @@ -4217,7 +4406,9 @@ { "cell_type": "markdown", "id": "761ebbca", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "As the predictors we plug into the model are synthetic, we do not need to model any interaction between them.\n", "\n", @@ -4226,9 +4417,11 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 77, "id": "d6ac4ac8", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "X_poly2 = np.stack((np.ones_like(x), x, x*x), axis=1)\n", @@ -4237,20 +4430,20 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 78, "id": "078047e2", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -4269,7 +4462,9 @@ { "cell_type": "markdown", "id": "97671b61", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Polynomial models are flexible enough to closely approximate any function in the neighborhood of a point (think of Taylor series expansions) but, of course, may not be adequate enough as we are modelling a function across an entire domain.\n", "\n", @@ -4279,7 +4474,10 @@ { "cell_type": "markdown", "id": "5e8e27d4", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Overfitting" ] @@ -4287,16 +4485,20 @@ { "cell_type": "markdown", "id": "41ccd181", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Let us introduce higher order terms:" ] }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 79, "id": "fba76906", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "augmented_again_df = augmented_df.assign(x3=x**3, x4=x**4, x5=x**5, x6=x**6) # yippee!\n", @@ -4305,20 +4507,20 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 80, "id": "424e6080", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -4335,16 +4537,20 @@ { "cell_type": "markdown", "id": "63c07909", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "If we compare the various models, we can observe that more complex models tend to perform better on the training data." ] }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 81, "id": "74c19b10", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -4369,9 +4575,7 @@ " <th></th>\n", " <th>R2</th>\n", " <th>R2_adjusted</th>\n", - " <th>F</th>\n", - " <th>pvalue</th>\n", - " <th>scale</th>\n", + " <th>log-likelihood</th>\n", " <th>AIC</th>\n", " <th>BIC</th>\n", " </tr>\n", @@ -4381,9 +4585,7 @@ " <th>1</th>\n", " <td>0.574957</td>\n", " <td>0.570619</td>\n", - " <td>132.564667</td>\n", - " <td>6.538526e-20</td>\n", - " <td>4.691088</td>\n", + " <td>-218.166948</td>\n", " <td>440.333896</td>\n", " <td>445.544236</td>\n", " </tr>\n", @@ -4391,9 +4593,7 @@ " <th>2</th>\n", " <td>0.630454</td>\n", " <td>0.622834</td>\n", - " <td>82.742084</td>\n", - " <td>1.076287e-21</td>\n", - " <td>4.120626</td>\n", + " <td>-211.171153</td>\n", " <td>428.342307</td>\n", " <td>436.157817</td>\n", " </tr>\n", @@ -4401,9 +4601,7 @@ " <th>6</th>\n", " <td>0.663161</td>\n", " <td>0.641430</td>\n", - " <td>30.516072</td>\n", - " <td>5.483515e-20</td>\n", - " <td>3.917469</td>\n", + " <td>-206.537608</td>\n", " <td>427.075215</td>\n", " <td>445.311406</td>\n", " </tr>\n", @@ -4412,36 +4610,33 @@ "</div>" ], "text/plain": [ - " R2 R2_adjusted F pvalue scale AIC \\\n", - "1 0.574957 0.570619 132.564667 6.538526e-20 4.691088 440.333896 \n", - "2 0.630454 0.622834 82.742084 1.076287e-21 4.120626 428.342307 \n", - "6 0.663161 0.641430 30.516072 5.483515e-20 3.917469 427.075215 \n", - "\n", - " BIC \n", - "1 445.544236 \n", - "2 436.157817 \n", - "6 445.311406 " + " R2 R2_adjusted log-likelihood AIC BIC\n", + "1 0.574957 0.570619 -218.166948 440.333896 445.544236\n", + "2 0.630454 0.622834 -211.171153 428.342307 436.157817\n", + "6 0.663161 0.641430 -206.537608 427.075215 445.311406" ] }, - "execution_count": 111, + "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scores = pd.DataFrame(np.array(\n", - " [[model.rsquared, model.rsquared_adj, model.fvalue, model.f_pvalue, model.scale, model.aic, model.bic] \\\n", + " [[model.rsquared, model.rsquared_adj, model.llf, model.aic, model.bic] \\\n", " for model in (linear_model, poly2_model, poly6_model)]),\n", " index=['1', '2', '6'],\n", - " columns=['R2', 'R2_adjusted', 'F', 'pvalue', 'scale', 'AIC', 'BIC'])\n", + " columns=['R2', 'R2_adjusted', 'log-likelihood', 'AIC', 'BIC'])\n", "scores" ] }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 82, "id": "572d19c8", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "# we need a few helpers to automate the parameter search\n", @@ -4474,16 +4669,20 @@ { "cell_type": "markdown", "id": "648b703e", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Now if we get a new sample from the same population, and compute the coefficient of determination:" ] }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 83, "id": "42c8cdf3", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [ "x_test, y_test, _ = get_sample()" @@ -4491,20 +4690,20 @@ }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 84, "id": "3131de8c", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -4529,7 +4728,9 @@ { "cell_type": "markdown", "id": "d0a2fd9f", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "...the over-complex models perform poorly." ] @@ -4537,7 +4738,10 @@ { "cell_type": "markdown", "id": "70aafcbf", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Model selection" ] @@ -4545,7 +4749,9 @@ { "cell_type": "markdown", "id": "96e112ca", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Choosing among models should not rely on data fitness only, especially if we only consider the data used to fit the model.\n", "\n", @@ -4559,7 +4765,10 @@ { "cell_type": "markdown", "id": "55f85206", - "metadata": {}, + "metadata": { + "heading_collapsed": true, + "hidden": true + }, "source": [ "### Information criteria" ] @@ -4567,16 +4776,20 @@ { "cell_type": "markdown", "id": "b31a31c9", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "[Akaike (AIC)](https://en.wikipedia.org/wiki/Akaike_information_criterion) and [Bayesian (BIC)](https://en.wikipedia.org/wiki/Bayesian_information_criterion) information criteria combine model fitness with the notion of model complexity." ] }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 85, "id": "43ac886e", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -4601,9 +4814,7 @@ " <th></th>\n", " <th>R2</th>\n", " <th>R2_adjusted</th>\n", - " <th>F</th>\n", - " <th>pvalue</th>\n", - " <th>scale</th>\n", + " <th>log-likelihood</th>\n", " <th>AIC</th>\n", " <th>BIC</th>\n", " </tr>\n", @@ -4613,9 +4824,7 @@ " <th>1</th>\n", " <td>0.574957</td>\n", " <td>0.570619</td>\n", - " <td>132.564667</td>\n", - " <td>6.538526e-20</td>\n", - " <td>4.691088</td>\n", + " <td>-218.166948</td>\n", " <td>440.333896</td>\n", " <td>445.544236</td>\n", " </tr>\n", @@ -4623,9 +4832,7 @@ " <th>2</th>\n", " <td>0.630454</td>\n", " <td>0.622834</td>\n", - " <td>82.742084</td>\n", - " <td>1.076287e-21</td>\n", - " <td>4.120626</td>\n", + " <td>-211.171153</td>\n", " <td>428.342307</td>\n", " <td>436.157817</td>\n", " </tr>\n", @@ -4633,9 +4840,7 @@ " <th>6</th>\n", " <td>0.663161</td>\n", " <td>0.641430</td>\n", - " <td>30.516072</td>\n", - " <td>5.483515e-20</td>\n", - " <td>3.917469</td>\n", + " <td>-206.537608</td>\n", " <td>427.075215</td>\n", " <td>445.311406</td>\n", " </tr>\n", @@ -4644,18 +4849,13 @@ "</div>" ], "text/plain": [ - " R2 R2_adjusted F pvalue scale AIC \\\n", - "1 0.574957 0.570619 132.564667 6.538526e-20 4.691088 440.333896 \n", - "2 0.630454 0.622834 82.742084 1.076287e-21 4.120626 428.342307 \n", - "6 0.663161 0.641430 30.516072 5.483515e-20 3.917469 427.075215 \n", - "\n", - " BIC \n", - "1 445.544236 \n", - "2 436.157817 \n", - "6 445.311406 " + " R2 R2_adjusted log-likelihood AIC BIC\n", + "1 0.574957 0.570619 -218.166948 440.333896 445.544236\n", + "2 0.630454 0.622834 -211.171153 428.342307 436.157817\n", + "6 0.663161 0.641430 -206.537608 427.075215 445.311406" ] }, - "execution_count": 129, + "execution_count": 85, "metadata": {}, "output_type": "execute_result" } @@ -4667,7 +4867,9 @@ { "cell_type": "markdown", "id": "86b40681", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "$$\n", "AIC = 2k - 2\\log{L}\n", @@ -4690,20 +4892,20 @@ }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 86, "id": "60322cd4", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 640x480 with 1 Axes>" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -4742,10 +4944,21 @@ "ax.legend();" ] }, + { + "cell_type": "markdown", + "id": "74521465", + "metadata": { + "hidden": true + }, + "source": [ + "In a linear model of several factors and many potential interactions terms, the AIC is often used to compare between all the possible models and select a model that exhibits a good trade-off between the likelihood (higher is better) and the number of terms (fewer is better)." + ] + }, { "cell_type": "markdown", "id": "4cc7280e-2dd2-49bd-af85-de6538245cc0", "metadata": { + "heading_collapsed": true, "tags": [] }, "source": [ @@ -4755,7 +4968,9 @@ { "cell_type": "markdown", "id": "1d397a38", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "What if -- instead of a continuous variable -- our response variable is a binary (or categorical) variable?" ] @@ -4764,36 +4979,38 @@ "cell_type": "markdown", "id": "337f7ce4-9acf-461a-a9a3-2a78b2af2e01", "metadata": { + "hidden": true, "tags": [] }, "source": [ - "### Link function" + "### Link functions and families" ] }, { "cell_type": "markdown", "id": "982d6488", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ - "Basically, we can apply a transformation to the response variable:\n", + "We need two ingredients.\n", + "\n", + "First, we apply a transformation to the response variable to project its values onto $\\mathbb{R}$:\n", "\n", "$$\n", "g(y) = \\textbf{X}\\beta + \\epsilon\n", "$$\n", "\n", - "$g$ is called a *link function*.\n", - "\n", - "This is similar to the additive models we have seen, with transformations of the predictors, BUT...\n", - "\n", - "...remember we need the residuals to be normally distributed.\n", + "$g$ is called a *link function*. \n", "\n", - "In addition, we may want the variables (be they response or explanatory) to take meaningful values." + "At the same time, a *family* of distribution functions is chosen for $y|\\textbf{X}$, to express $\\mathbb{E}[y|\\textbf{X}] = g^{-1}(\\textbf{X}\\beta)$. Importantly, the chosen distribution determines the relationship between the mean and variance of $y|\\textbf{X}$." ] }, { "cell_type": "markdown", "id": "c374bbc5", "metadata": { + "hidden": true, "tags": [] }, "source": [ @@ -4803,7 +5020,9 @@ { "cell_type": "markdown", "id": "66c0391c", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "#### Count outcome\n", "\n", @@ -4817,10 +5036,25 @@ "To do so, we need an *exponential response* model with $g=\\log$. If $g(y)$ varies linearly with temperature, $y$ will be Poisson distributed." ] }, + { + "cell_type": "code", + "execution_count": 87, + "id": "c906df73", + "metadata": { + "hidden": true + }, + "outputs": [], + "source": [ + "family = sm.families.Poisson()\n", + "# an optional first argument specifies the link function; default is the log link function" + ] + }, { "cell_type": "markdown", "id": "c0fe5847", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "#### Odds ratio" ] @@ -4828,7 +5062,9 @@ { "cell_type": "markdown", "id": "fb2523f9", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Suppose now we want to model the probability of a two-option process, *e.g.* «survives *vs* dies».\n", "\n", @@ -4839,21 +5075,106 @@ "This is a typical application of a *logit* link function, which relies on $y$ following a binomial distribution." ] }, + { + "cell_type": "code", + "execution_count": 88, + "id": "42165fc7", + "metadata": { + "hidden": true + }, + "outputs": [], + "source": [ + "family = sm.families.Binomial()\n", + "# the default link function is logit" + ] + }, { "cell_type": "markdown", "id": "7c272448", "metadata": { + "hidden": true, "tags": [] }, "source": [ - "### Families" + "### Choosing families and link functions" + ] + }, + { + "cell_type": "markdown", + "id": "791c1c48", + "metadata": { + "hidden": true + }, + "source": [ + "Common choices are:\n", + "* $y$ is continuous in $\\mathbb{R}$: Gaussian distribution with identity link function (standard linear model)" ] }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 89, + "id": "fcf2d971", + "metadata": { + "hidden": true + }, + "outputs": [], + "source": [ + "family = sm.families.Gaussian()\n", + "# the default link function is the identity" + ] + }, + { + "cell_type": "markdown", + "id": "f70d80de", + "metadata": { + "hidden": true + }, + "source": [ + "* $y$ is continuous in $\\mathbb{R}^+$: gamma or inverse Gaussian distribution with log link function" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "id": "9c495f24", + "metadata": { + "hidden": true + }, + "outputs": [], + "source": [ + "family = sm.families.Gamma(sm.families.links.log())\n", + "family = sm.families.InverseGaussian(sm.families.links.log())\n", + "# the log link function must be specified, as the log link function is not default" + ] + }, + { + "cell_type": "markdown", + "id": "841be7c7", + "metadata": { + "hidden": true + }, + "source": [ + "* $y$ is count data ($y \\in \\mathbb{N}^+$): Poisson distribution (see above)\n", + "* $y$ is $0$ or $1$: binomial distribution with *logit* link function (see above)" + ] + }, + { + "cell_type": "markdown", + "id": "b867c0f0", + "metadata": { + "hidden": true + }, + "source": [ + "### Usage example" + ] + }, + { + "cell_type": "code", + "execution_count": 91, "id": "01e6b10d-fc3a-4fe8-9f94-b3ff3a1278ea", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -4993,7 +5314,7 @@ "4 0 373450 8.0500 NaN S " ] }, - "execution_count": 94, + "execution_count": 91, "metadata": {}, "output_type": "execute_result" } @@ -5005,9 +5326,11 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 92, "id": "e959c8a9", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -5024,19 +5347,19 @@ " <th>Model Family:</th> <td>Binomial</td> <th> Df Model: </th> <td> 4</td> \n", "</tr>\n", "<tr>\n", - " <th>Link Function:</th> <td>logit</td> <th> Scale: </th> <td> 1.0000</td>\n", + " <th>Link Function:</th> <td>Logit</td> <th> Scale: </th> <td> 1.0000</td>\n", "</tr>\n", "<tr>\n", " <th>Method:</th> <td>IRLS</td> <th> Log-Likelihood: </th> <td> -323.64</td>\n", "</tr>\n", "<tr>\n", - " <th>Date:</th> <td>Tue, 05 Oct 2021</td> <th> Deviance: </th> <td> 647.28</td>\n", + " <th>Date:</th> <td>Mon, 26 Sep 2022</td> <th> Deviance: </th> <td> 647.28</td>\n", "</tr>\n", "<tr>\n", - " <th>Time:</th> <td>09:38:35</td> <th> Pearson chi2: </th> <td> 767.</td> \n", + " <th>Time:</th> <td>01:44:44</td> <th> Pearson chi2: </th> <td> 767.</td> \n", "</tr>\n", "<tr>\n", - " <th>No. Iterations:</th> <td>5</td> <th> </th> <td> </td> \n", + " <th>No. Iterations:</th> <td>5</td> <th> Pseudo R-squ. (CS):</th> <td>0.3587</td> \n", "</tr>\n", "<tr>\n", " <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n", @@ -5071,11 +5394,11 @@ "Dep. Variable: Survived No. Observations: 714\n", "Model: GLM Df Residuals: 709\n", "Model Family: Binomial Df Model: 4\n", - "Link Function: logit Scale: 1.0000\n", + "Link Function: Logit Scale: 1.0000\n", "Method: IRLS Log-Likelihood: -323.64\n", - "Date: Tue, 05 Oct 2021 Deviance: 647.28\n", - "Time: 09:38:35 Pearson chi2: 767.\n", - "No. Iterations: 5 \n", + "Date: Mon, 26 Sep 2022 Deviance: 647.28\n", + "Time: 01:44:44 Pearson chi2: 767.\n", + "No. Iterations: 5 Pseudo R-squ. (CS): 0.3587\n", "Covariance Type: nonrobust \n", "==================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", @@ -5089,7 +5412,7 @@ "\"\"\"" ] }, - "execution_count": 95, + "execution_count": 92, "metadata": {}, "output_type": "execute_result" } @@ -5100,10 +5423,83 @@ "model.summary()" ] }, + { + "cell_type": "markdown", + "id": "fa3b079e", + "metadata": { + "hidden": true + }, + "source": [ + "Some general statistics are not shown in the tables above, but still avaible in the *Generalized Linear Model Regression Results* object, such as the AIC or BIC:" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "id": "797dabea", + "metadata": { + "hidden": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "657.2831255018241" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.aic" + ] + }, + { + "cell_type": "markdown", + "id": "af5fbbc1", + "metadata": { + "hidden": true + }, + "source": [ + "However, the traditional analysis of variance is no longer available:" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "id": "42a99e49", + "metadata": { + "hidden": true + }, + "outputs": [], + "source": [ + "%%script false --no-raise-error\n", + "\n", + "sm.stats.anova_lm(model)\n", + "# raises:\n", + "\n", + "# > AttributeError: 'GLMResults' object has no attribute 'ssr'" + ] + }, + { + "cell_type": "markdown", + "id": "3fc5e6d3", + "metadata": { + "hidden": true + }, + "source": [ + "As a consequence, the contribution of the factors or descriptors is often discussed in the light of the coefficients and *p*-values shown in the second table. Beware the [correlations between quantitative descriptors](https://scikit-learn.org/stable/auto_examples/inspection/plot_linear_model_coefficient_interpretation.html), though.\n", + "\n", + "Other approaches are possible, that compare between models (with and without a chosen factor/descriptor) drawing multiple subsets from the dataset. However, these approaches need to be tailored to the data and problem, and we won't cover them here." + ] + }, { "cell_type": "markdown", "id": "4d16690d-a3b2-4903-b746-04ce95030288", "metadata": { + "heading_collapsed": true, "tags": [] }, "source": [ @@ -5113,7 +5509,9 @@ { "cell_type": "markdown", "id": "e9847067-50f5-4271-a3ef-440ca555ee82", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The notion of hierarchy in an analysis of variance arises when not all factors or dependent variables have equal importance in the analysis.\n", "\n", @@ -5130,7 +5528,9 @@ { "cell_type": "markdown", "id": "ec030ec2", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "### Repeated measures ANOVA and sphericity" ] @@ -5138,7 +5538,9 @@ { "cell_type": "markdown", "id": "647f42e4", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Example (one-way): each animal observed multiple times, *e.g.* at different ages; and we are not interested in the putative differences between animals.\n", "\n", @@ -5157,9 +5559,11 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 95, "id": "bea2319c", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -5261,7 +5665,7 @@ "31 2 Post Product 6" ] }, - "execution_count": 97, + "execution_count": 95, "metadata": {}, "output_type": "execute_result" } @@ -5276,7 +5680,9 @@ { "cell_type": "markdown", "id": "7cdbf3b2", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "In this example, each subject (`Subject`) has undergone all possible measurements, for all levels of the `Time` and `Metric` factors.\n", "As a consequence, the observations for each subject are not independent, and this must be accounted for by the model.\n", @@ -5289,16 +5695,20 @@ { "cell_type": "markdown", "id": "831d8c07", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "`statsmodels` features [AnovaRM](https://www.statsmodels.org/stable/generated/statsmodels.stats.anova.AnovaRM.html) but corrections for departure from sphericity are not implemented and we should first perform a Mauchly's test for sphericity, for example with [pingouin.sphericity](https://pingouin-stats.org/generated/pingouin.sphericity.html):" ] }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 96, "id": "a7df0d24", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -5306,7 +5716,7 @@ "SpherResults(spher=True, W=0.6247989838343564, chi2=3.762602454747652, dof=2, pval=0.15239168046050933)" ] }, - "execution_count": 98, + "execution_count": 96, "metadata": {}, "output_type": "execute_result" } @@ -5317,9 +5727,11 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 97, "id": "6a8362eb", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -5381,7 +5793,7 @@ "Time:Metric 12.63227 2.0 18.0 0.000373" ] }, - "execution_count": 99, + "execution_count": 97, "metadata": {}, "output_type": "execute_result" } @@ -5395,16 +5807,20 @@ { "cell_type": "markdown", "id": "bb44cf31", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "In contrast, [rm_anova](https://pingouin-stats.org/generated/pingouin.rm_anova.html) from `pingouin` does implement Greenhouse-Geiser correction." ] }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 98, "id": "a66cb913", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { @@ -5435,7 +5851,7 @@ " <th>F</th>\n", " <th>p-unc</th>\n", " <th>p-GG-corr</th>\n", - " <th>np2</th>\n", + " <th>ng2</th>\n", " <th>eps</th>\n", " </tr>\n", " </thead>\n", @@ -5450,7 +5866,7 @@ " <td>33.85228</td>\n", " <td>0.000254</td>\n", " <td>0.000254</td>\n", - " <td>0.789976</td>\n", + " <td>0.254011</td>\n", " <td>1.000000</td>\n", " </tr>\n", " <tr>\n", @@ -5463,7 +5879,7 @@ " <td>26.95919</td>\n", " <td>0.000004</td>\n", " <td>0.000005</td>\n", - " <td>0.749716</td>\n", + " <td>0.359335</td>\n", " <td>0.969103</td>\n", " </tr>\n", " <tr>\n", @@ -5476,7 +5892,7 @@ " <td>12.63227</td>\n", " <td>0.000373</td>\n", " <td>0.001708</td>\n", - " <td>0.583955</td>\n", + " <td>0.084420</td>\n", " <td>0.727166</td>\n", " </tr>\n", " </tbody>\n", @@ -5489,13 +5905,13 @@ "1 Metric 1365.233333 2 18 682.616667 26.95919 0.000004 \n", "2 Time * Metric 224.433333 2 18 112.216667 12.63227 0.000373 \n", "\n", - " p-GG-corr np2 eps \n", - "0 0.000254 0.789976 1.000000 \n", - "1 0.000005 0.749716 0.969103 \n", - "2 0.001708 0.583955 0.727166 " + " p-GG-corr ng2 eps \n", + "0 0.000254 0.254011 1.000000 \n", + "1 0.000005 0.359335 0.969103 \n", + "2 0.001708 0.084420 0.727166 " ] }, - "execution_count": 100, + "execution_count": 98, "metadata": {}, "output_type": "execute_result" } @@ -5507,7 +5923,9 @@ { "cell_type": "markdown", "id": "ccd20d1c", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "Note that neither `AnovaRM` nor `rm_anova` give access to the model's coefficients.\n", "\n", @@ -5518,16 +5936,18 @@ "cell_type": "code", "execution_count": null, "id": "4de57a31", - "metadata": {}, + "metadata": { + "hidden": true + }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "scientific_python", "language": "python", - "name": "python3" + "name": "scientific_python" }, "language_info": { "codemirror_mode": { -- GitLab