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702 lines
764 KiB
HTML
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<h1>Random Walk</h1>
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<h2>Introduction</h2>
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<p>This lab features a random walk simulation that answers the following question: Given the radius of a circular room, how many random steps does it take to reach to reach the wall from the center? To explore this, we will look at the distribution of steps required and describe it in terms of a discrete probability distribution. Later on, we will look at the radius parameter and find relationships between it and the different summary statistics that we compute (mean, median, range, variance, skewness).</p>
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<p>The paper will start off with the methods used in this lab. The programming language R was used and a simulation was created to simulate a random walk according to the description above. It will also discuss the methods used to find the discrete probability distribution that best fits the data and how the relationship between the radii and the summary statistics were found using regression.</p>
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<p>After discussing the methods, the paper goes into the results. The discrete probability distribution of the data is revealed and the equations of the different summary statistics based on a regression of the radius is shared. </p>
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<h2>Methods</h2>
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<h3>Obtaining the distribution of steps required</h3>
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<p>The simulation written performs the following steps given the size of a room:</p>
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<ol>
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<li>Start off in the center of the room</li>
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<li>Calculate a random angle $\theta$</li>
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<li>Step in the X direction by $cos(\theta)$</li>
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<li>Step in the Y direction by $sin(\theta)$</li>
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<li>Repeat steps 2-4 until the wall is reached</li>
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</ol>
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<p>The number of steps required is then recorded into a vector and the simulation is performed 999 more times. This gives us the distribution of steps required to reach the wall given the room size.</p>
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<h3>Computing summary statistics</h3>
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<p>Given the distribution vector pertaining to the room size, we then find the following information:</p>
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<ul>
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<li>Measures of Central Tendency: Mean & Median</li>
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<li>Measures of Variation: Variance & Range</li>
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<li>Skewness & Shape of Histogram</li>
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</ul>
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<p>For every room size selected, a total of three trials of 1000 simulations each is conducted.</p>
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<h3>Fitting the data to a distribution</h3>
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<p>Since the simulation counts the steps required before reaching the walls of the room, it describes the process of a geometric distribution. To confirm the suspicion, the function <code>fitdistr</code> inside the package <code>MASS</code> was used to find the parameter (probability) of the geometric distribution to best fit the simulation data. In this case the simulation data used is of room size 100.</p>
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<p>The probability density histogram of the data is then shown with the overlay of the geometric distribution that best fit the data.</p>
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<p>Another more robust way to visually see the goodness of fit of the distribution is to use what is called a Quantile-Quantile Plot (Q-Q Plot), Using the quantiles from the theoretical distribution, we compare it to the quantiles of the simulated data and check to see that it follows the Q-Q line closely.</p>
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<h3>Finding relationships between the radii and the summary statistics</h3>
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<p>From the simulations performed, vectors have been saved containing the summary statistics for the different room sizes. Vectors are then created from these vectors as columns inside a data frame. Having this data frame allows us to use <code>ggplot</code> to graph the data using scatter plots. </p>
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<p><code>ggplot</code> was used as opposed to the conventional <code>base</code> package since it allows us to add layers to the graphs, which was used to show the geometric distribution on top of the density histogram in the previous section. <code>ggplot</code> is also aesthetically more pleasing as it decreases the margins and makes smart choices on the shadings of the axes on the graph. </p>
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<p>After plotting the data, regressions are then taken with respect to different polynomial degrees of radii and analyzed for best fit using the adjusted r squared value as a means for comparison. </p>
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<p>The adjusted r squared value is a good comparator since it tells us a proportion of how much the variation in the data is accounted for by the model.</p>
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<h2>Results</h2>
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<p>The shape of the distribution matches the geometric distribution as shown in Figure IX & X. Figure IX shows how the probability density histogram nicely fits the overlay of the geometric distribution with the fitted parameters. The description of the problem closely matches the description of the geometric probability distribution and both distributions are skewed right. These observations increase our confidence that the distribution is a good fit. This can further be verified with the Q-Q Plot. </p>
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<p>The Q-Q Plot in Figure X shows how the theoretical quantiles compare with the quantiles from the distribution. Since the observed sample quantiles start off in one side of the Q-Q line and ends up on the other side at the end, we can say that the data is not skewed with respect to the theoretical distribution. This along with the fact that the sample quantiles closely fit the Q-Q line supports the proposition that the geometric distribution is a good fit for the steps required in the random walk.</p>
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<p>Regressions were then performed for each summary statistic and the models that had the lowest degree polynomial with respect to radii and with relatively small standard error were chosen.</p>
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<p>For the mean, quadratic regression was performed and it produces the following model
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$$
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\mu(Steps) = -31.409 + 7.800(radii) + 0.837(radii^2)
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$$
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With this model, the adjusted $r^2$ value is 99.938%, which tells us that 99.938% of the variation in means is accounted for by the quadratic regression above. It's fit to the observed values can be seen in Figure XI.</p>
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<p>For the median, quadratic regression was performed and produces the following model
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$$
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\widetilde{Steps} = -19.525 + 5.096(radii) + 0.687(radii^2)
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$$
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The model above has an adjusted $r^2$ value of 99.957% which tells us that 99.957% of the variation in medians is accounted for by the regression above. It's fit to the observed values can be seen in Figure XIII.</p>
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<p>For the range, the quadratic regression performed creates the following model
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$$
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Range(Steps) = 63.873 - 9.073(radii) + 5.572(radii^2)
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$$
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The model has an adjusted $r^2$ value of 99.278% which tells us that 99.278% of the variation in the ranges of steps is accounted for by the regression above. It's fit to the observed values can be seen in Figure XV.</p>
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<p>For the variance, the cubic regression performed creates the following model
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$$
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\sigma^2(Steps) = -88471.866 + 32256.076(radii) - 2418.835(radii^2) + 61.650(radii^3)
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$$
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The model has an adjusted $r^2$ value of 99.779% which tells us that 99.779% of the variation in the variations of steps is accounted for by the regression above. It's fit to the observed values can be seen in Figure XVII</p>
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<p>Looking at the scatter plot of radii vs skewness of steps shown in Figure XVIII, there appears to be no relationship between the radii and skewness of steps. What the scatter plot suggests that the skewness is uniformly distributed.</p>
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<h2>Conclusions</h2>
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<p>In summation, the distribution of steps required to reach the end of the wall follow a geometric distribution. This was backed up using the probability density histogram and the Q-Q Plot.</p>
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<p>Most of the summary statistics follow a quadratic regression while the variation follows a cubic regression. Skewness are uniformly distributed across the different simulations.</p>
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<p>In other words, the mean, median, and range follow a function that is a second degree polynomial based on the size of the room ($r^2$) and the variation follows a function that is a third degree polynomial based on the size of the room $(r^3)$</p>
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<h2>Appendix</h2>
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<h3>Tables</h3>
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<h4>Table I, Summary Statistics for Room Radius of 2</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>5.827</td>
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<td>5.000</td>
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<td>13.471</td>
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<td>36.000</td>
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<td>2.446</td>
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</tr>
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<tr>
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<td>2</td>
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<td>5.761</td>
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<td>5.000</td>
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<td>10.635</td>
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<td>22.000</td>
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<td>1.780</td>
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</tr>
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<tr>
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<td>3</td>
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<td>5.805</td>
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<td>5.000</td>
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<td>11.430</td>
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<td>21.000</td>
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<td>1.882</td>
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</tr>
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</tbody>
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</table>
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<h4>Table II, Summary Statistics for Room Radius of 3</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>11.566</td>
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<td>9.000</td>
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<td>59.055</td>
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<td>60.000</td>
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<td>1.854</td>
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</tr>
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<tr>
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<td>2</td>
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<td>11.940</td>
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<td>10.000</td>
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<td>74.487</td>
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<td>68.000</td>
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<td>2.467</td>
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</tr>
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<tr>
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<td>3</td>
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<td>11.242</td>
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<td>9.000</td>
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<td>53.417</td>
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<td>48.000</td>
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<td>1.922</td>
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</tr>
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</tbody>
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</table>
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<h4>Table III, Summary Statistics for Room Radius of 4</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>19.306</td>
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<td>15.000</td>
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<td>171.688</td>
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<td>90.000</td>
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<td>1.721</td>
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</tr>
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<tr>
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<td>2</td>
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<td>18.127</td>
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<td>15.000</td>
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<td>143.284</td>
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<td>74.000</td>
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<td>1.712</td>
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</tr>
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<tr>
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<td>3</td>
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<td>18.993</td>
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<td>15.000</td>
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<td>180.892</td>
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<td>111.000</td>
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<td>2.089</td>
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</tr>
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</tbody>
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</table>
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<h4>Table IV, Summary Statistics for Room Radius of 5</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>29.272</td>
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<td>23.000</td>
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<td>405.817</td>
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<td>150.000</td>
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<td>1.737</td>
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</tr>
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<tr>
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<td>2</td>
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<td>28.382</td>
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<td>22.000</td>
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<td>402.801</td>
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<td>146.000</td>
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<td>1.862</td>
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</tr>
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<tr>
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<td>3</td>
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<td>27.891</td>
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<td>22.000</td>
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<td>390.221</td>
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<td>211.000</td>
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<td>2.308</td>
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</tr>
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</tbody>
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</table>
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<h4>Table V, Summary Statistics for Room Radius of 10</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>110.234</td>
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<td>87.000</td>
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<td>6070.976</td>
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<td>547.000</td>
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<td>1.780</td>
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</tr>
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<tr>
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<td>2</td>
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<td>109.594</td>
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<td>88.000</td>
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<td>5928.037</td>
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<td>542.000</td>
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<td>1.864</td>
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</tr>
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<tr>
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<td>3</td>
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<td>108.398</td>
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<td>86.000</td>
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<td>6469.467</td>
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<td>621.000</td>
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<td>2.191</td>
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</tr>
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</tbody>
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</table>
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<h4>Table VI, Summary Statistics for Room Radius of 25</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>623.260</td>
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<td>492.000</td>
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<td>197161.8</td>
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<td>3262</td>
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<td>1.965</td>
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</tr>
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<tr>
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<td>2</td>
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<td>637.890</td>
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<td>511.000</td>
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<td>212826.6</td>
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<td>3394</td>
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<td>2.009</td>
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</tr>
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<tr>
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<td>3</td>
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<td>653.661</td>
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<td>528.5</td>
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<td>211126.2</td>
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<td>3694</td>
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<td>1.841</td>
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</tr>
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</tbody>
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</table>
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<h4>Table VII, Summary Statistics for Room Radius of 50</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>2507.935</td>
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<td>1939.0</td>
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<td>3231980</td>
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<td>11471</td>
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<td>1.726</td>
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</tr>
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<tr>
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<td>2</td>
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<td>24675.615</td>
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<td>1992.0</td>
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<td>3248443</td>
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<td>14150</td>
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<td>2.060</td>
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</tr>
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<tr>
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<td>3</td>
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<td>2488.795</td>
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<td>2001.5</td>
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<td>3038915</td>
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<td>14689</td>
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<td>1.843</td>
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</tr>
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</tbody>
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</table>
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<h4>Table VIII, Summary Statistics for Room Radius of 100</h4>
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<table>
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<thead>
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<tr>
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<th>Trial</th>
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<th>Mean</th>
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<th>Median</th>
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<th>Variance</th>
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<th>Range</th>
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<th>Skewness</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>1</td>
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<td>8983.406</td>
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<td>7257.0</td>
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<td>38271895</td>
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<td>52549</td>
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<td>2.027</td>
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</tr>
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<tr>
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<td>2</td>
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<td>9372.917</td>
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<td>7537.0</td>
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<td>41658620</td>
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<td>51810</td>
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<td>1.867</td>
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</tr>
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<tr>
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<td>3</td>
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<td>8974.549</td>
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<td>7294.5</td>
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<td>41868765</td>
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<td>60326</td>
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<td>2.420</td>
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</tr>
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</tbody>
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</table>
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<h3>Figures</h3>
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<h4>Figure I, Histogram of Room Radius 2</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure II, Histogram of Room Radius 3</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure III, Histogram of Radius 4</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure IV, Histogram of Radius 5</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure V, Histogram of Radius 10</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure VI, Histogram of Radius 25</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure VII, Histogram of Radius 50</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure VIII, Histogram of Radius 100</h4>
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<p><img 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FSAgBLQDBBQAQIqQEAJaAYIqAABFSCgBDQDBFSAgAoQUAKaAQIqQEAFCCgBzQABFSCgAgSUgGaAgAoQUAECSkAzQEAFCKgAASWgGSCgAgRUgIAS0AwQUAECKkBACWgGCKgAARUgoAQ0AwRUgIAKEFACmgECKkBABQgoAc0AARUgoAIElIBmgIAKEFABAkpAM0BABQioAAHdcAP67M1J/GhVStOsR0AFCKgAAd1gA/rKSJfIZ1OaZj0CKkBABQjoBhvQp5P1070zpWnWI6ACBFSAgG7IAf3rU9sioBUEVICA2iOgge4D+o/ttyKgFQRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqL0hG9CnLjv20KnnPFwZrLhqyvgZN74cMxhAQPOEgAoQUHtDNaC/GeP9lHG+58bSYPFk7yd6P21FMKhDQPOEgAoQUHtDNKDLx/mLeqO1/9HTc39xdJqfUYiem+Yvi5oHdQhonhBQAQJqb4gG9Bb/pbWl5TX+vCha6CesLN5ePKbnhaZBPQKaJwRUgIDaG6IBPd/fUF4u9MdE0bX+0vLgK35u06AeAc0TAipAQO0N0YCec8z88vIJf3QUnevnlQe3+DlNg3oENE8IqAABtTdEA1pzo/9aFJ3sHywP5vnzmwZl9/yx7NSJr6ajr1BY08VuTyQM6N4pTbPe8j6Dg5oqBjTrKXRq2fKsZ9CpQqE36yl0qm9F1jPo0OpCYVmax3sp1YDed6h/IIom+afLo7v99KZB2ehRZZMnFDJ1b8KA7pXtNAEMXYtSDOjq6w7xNxWXY/2S8niBn9o0IKAAhpEUA/rbY/z4n5VuHNX/oPOkpkHZpeeVfeHIF9PRWyis7GK3BQkD+o6Uplmvr9fgoKaWFgpZT6FTvbm7yIXC0qyn0KmlfVnPoEMrC4VUvy560wroigu8v7DyYPNE/1B5Oc+f3TSox4tIecKLSAK8iGRvqL6ItGSyn7qwenumv6u8vM3PbhrUI6B5QkAFCKi9IRrQVSf4c16qDa73V5SXM/3tTYN6BDRPCKgAAbU3RAP6Y/+1gYgt6jl6dXGxYty4l5oG9QhonhBQAQJqb4gG9PP+/nVVxdHp/qK10eoZflbUPKhDQPOEgAoQUHtDM6BrD/E1xxWHiyb6w6aP88eXfgi+cVCHgOYJARUgoPaGZkCf9w0BjXqvmDR2yjWrKnc2DAYQ0DwhoAIE1N7QDGg3CGieEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAaMA7rDqe2d9lBn5yagAgRUgIAS0JZcMm/r7NwEVICAChBQAtpSwoBu0dm5CagAARUgoAS0Jed2ubmtnQjoEERABQgoAW0p0YtIexDQIYiAChBQAtoSAa0goAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtDZ+Azpz4ajr6CoU1Xez2RKoB7ezcy/u6mHCmigHNegqdWrYs6xl0qlDozXoKnepdkfUMOrS6UEj16+KlzAJ6+oRCpu5NM6CbZ/tnAZCJRRk+An0tHcVHoK92sVu6j0A7O/eKvi4mnKniI9Csp9CpZcuznkGnio9As55Cp3pXZD2DDq0pPgJN83ir+B5oS3wPtILvgQrwPVB7w+d7oAQ0TwioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1R0ADBFSAgAoQUHsENEBABQioAAG1N5QD+svxz1du3OSrni2NVlw1ZfyMG19u3pqA5gkBFSCg9oZyQGf4akAvrw/o4sneT/R+WvOXMwHNEwIqQEDtDd2ArrrG1wI6wz/2SlkpbKf5GYXouWn+sqbtCWieEFABAmpvqAb0jumf8f0Bnexf6b9joZ+wsrhYPKbnhcY9CGieEFABAmpvqAb0O0ceeWRPNaBreuraeK2/tLz8ip/buAcBzRMCKkBA7Q3VgJYcWQ3oX/z0gZXn+nnl5S1+TuPWBDRPCKgAAbWXh4D+yZ936xfGf+6iP5cGJ/sHyyvn+fMbtyageUJABQiovTwEdK73fuwk78f8uDiY5J8ur7y7/2HppeeVfeHIF9PRWyis7GK3BakGtLNz9/V2MeFMLS0Usp5Cp3pzd5ELhaVZT6FTS/uynkGHVhYKqX5d9BoE9Co/4fevRS9d7Q95PIrG+iXllQv81Opmo0eVTZ5QyNS9aQZ082z/LAAyscggoE/eUygvL/bnRdFR/Y9AT6puRkABDA8WAa15wE+JohP9Q+XBPH92dfWjD5edNvG1dPQVCq92sdsT6QV0dzfiZ+39d2//uVf0pfRnl+ktLM16Cp1atjzrGXSq+Owy6yl0qndF1jPo0JpCYVmax1tlGNAlfuz6aKa/qzy4zc9u3HoYvYi0lUtk73W1HXgRSYAXkQR4ESn9gK6a+5PKeIE/MYqu91eUBzP97Y1bD6OAbposoK7/RwkIqAABFSCg6Qd0/UR/T3k8238rihb1HL26eHvFuHEvNW49rAK66XFtvcW5JbUdCKgAARUgoAZP4X/gJ94XRatv6Dmi1InT/UVro9Uz/KymrYdVQBO8D/TjBFSLgAoQUIOArv2690dM6fFHzC+NFk30h00f549f2bQ1Ac0TAipAQO3lIaBRdNeZR4z/0pXVifZeMWnslGtWNW9NQPOEgAoQUHtDOaCdIaB5QkAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKi94RPQrx75Yjp6C4WVXey2QB/QJ2vn7lua0p9dZmmhkPUUOtXbm/UMOlUo5O/roi/rGXRoZaGQ6tdFb2YBPeOIZeko/t3uZrcH9AF9bGDKKf3ZZQrdXeQsLV2a9Qw6VQxo1lPoVA5nnO6Ul/AUviWewlfwFF6Ap/D2hs9TeAKaJwRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqD0CGiCgAgRUgIDaI6ABAipAQAUIqL2MAnr55XWDRZffkMKZCWieEFABAmovo4C6+tUPul1TODMBzRMCKkBA7Q2BgK7/thuRwpkJaJ4QUAECak8f0Pk7Fjm3Y79tnNszhTMT0DwhoAIE1J4+oH9woa+ncGYCmicEVICA2tMH9Jkzipw7Y8BZc9M4MwHNEwIqQEDtDYHvgaaEgOYJARUgoPYyCugJJ6R50jICmicEVICA2uON9AECKkBABQiovewC+uf//tmAFM5MQPOEgAoQUHtZBfR3eza8DJ/CmQlonhBQAQJqL6OAPjnCEdBBEdChiIAKENBkAZ3s3KH/9fAj/VI4MwHNEwIqQEDtZRTQd7lD0jxrCQHNEwIqQEDtZRPQ9Zu529M8awkBzRMCKkBA7WUT0Bed+2OaZy0hoHlCQAUIqL1sArpmazcnzbOWENA8IaACBNReRt8DneLelfaVIqB5QkAFCKi9jAK68r1u9MNpnpeA5gsBFSCg9jIK6E/+/a1uk49NOb32gUwpnJmA5gkBFRLj2f8AACAASURBVCCg9jL7NCbeSD84AjoUEVABAposoFs3SeHMBDRPCKgAAbXHpzEFCKgAARUgoPYIaICAChBQAQJqj4AGCKgAARUgoPYyCujTTVI4MwHNEwIqQEDt8Sp8gIAKEFABAmqPgAYIqAABFSCg9jIK6I9q/u3Le7qNL07jL9OGFtCPOHfGBVVfm3nBYH7X/khZIKACBNRe9i8irT7FuetTOPOGFtCRzY/i473hufaHygABFSCg9rIPaLT+H90bX339Z97QAvrGZAF1f2p/qAwQUAECam8IBDT6vnP3v/4zb4ABveTKdvYloKkhoAIEtIuA3ufcs6//zBtgQJe03egoApoaAipAQLsI6I8cPwvfgIAORQRUgIB2HtDXPuben8KZCWgMApoeAipAQJMF9NZ+t1w2yrnpKZyZgMYgoOkhoAIEtJs30u/Um8KZCWgMApoeAipAQDsP6Naf/ksaZyagMQhoegioAAFNFtDFddalc2YCGoOApoeAChBQPs6uJQJaQUAFCKg9AhogoAIEVICA2ssuoC9eddi7Ru7wjkO/uTKdMxPQGAQ0PQRUgIAmDej129VeRNoujY8SIaCxCGh6CKgAAU0Y0MtKL7+/b+z4D2xbvHFFGmcmoDEIaHoIqAABTRbQhZu6N11avlYvX76De8PjKZyZgMYgoOkhoAIENFlAp7nNflu7/T+buS+mcGYCGoOApoeAChDQZAHd250wMPice1cKZyagMQhoegioAAFNFtCt3HUDgxv4NKZGBHQoIqACBDRZQLesD+j33FYpnJmAxiCg6SGgAgQ0WUD3qn8KPy1JVNoioDEIaHoIqAABTfoi0oj/qd3+wwheRGpEQIciAipAQBO/jWnHK14p3Xpl9k7uDY+mcGYCGoOApoeAChDQhG+kv7z0I0j7Hn74fqUfSLo8jTMT0BgEND0EVICAJv1Rzuv6fy3vG68bZJPOENAYBDQ9BFSAgCb+MJEV3x73jh12fMe4b6X0dUlAYxDQ9BBQAQLKx9m1REArCKgAAbVHQAMEVICAChBQe9kE9NXfVZZ3HDLz3rTOTEBjEND0EFABApogoPdM2n7Pyq1bnXN/d0c6ZyagMQhoegioAAFtH9ALNnGuLqDOzUzlzAQ0BgFNDwEVIKBtA3pFMZnvvaRye/0jV+1XHF6ZxpkJaAwCmh4CKkBA2wV00RZuq+/Xr7huc7d1Gv+fCWgMApoeAipAQNsF9JzgN3jMce7i2GP9cvzz1VsrrpoyfsaNL8cMBhDQGAQ0PQRUgIC2C+gYt+erjWvW7+k+FXusGb4a0MWTvZ/o/bQVwaAOAY1BQNNDQAUIaLuA7uMmNu9zots15kirrvG1gJ7mZxSi56b5y4JBHQIag4Cmh4AKENB2Ad3KndW8z2Uxvbhj+md8LaAL/YTS745fPKbnhaZBPQIag4Cmh4AKENB2Ad3G/WvzPpfEfCL9d4488sieakCv9ZeWl1/xc5sG9QhoDAKaHgIqQEDbBfRt7uTmfT7ndo891pHVgJ7r55WXt/g5TYN6BDQGAU0PARUgoO0CelhQkHW7up7YY9UCerJ/sLyc589vGtQjoDEIaHoIqAABbRfQ65y7uXHNbOdmxx6rFtBJ/uny8m4/vWlQNnpU2eQJhUzdO0QD+vNsLwuA5Ba1C+iaPdybGj5A5JdbuB1fiv3bXwvoWF8pxQI/tWlQRkAHR0CBPGkb0Og/N3Zbz+p/K+jL52zm3I3xf/trAT2q/0HnSU2DymY9ZVOP6EvH0uIzny7cP0QD+suULku6Ct1d5CwtXZr1DDrFRRYoFFKd8pL2HyYyZxPndpx66Q/vfeQP103dzrmNzhvkb38toCf6h8rLef7spkE9vgcag++BpofvgQrwPdAEH2f3611cne1uG+xYtYDO9HeVl7f52U2DegQ0BgFNDwEVIKBJPlD55dl71/K567mDn74W0Ot95afnZ/rbmwb1CGgMApoeAipAQBP+So+/3HD+l0469+pHWh2rFtBFPUevLi5WjBv3UtOgHgGNQUDTQ0AFCGiKvxOpFtDodH/R2mj1DD8rGNQhoDEIaHoIqAABtQjooon+sOnj/PErg0EdAhqDgKaHgAoQUIuARr1XTBo75ZpVMYMBBDQGAU0PARUgoPxa45YIaAUBFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghogIAKEFABAmqPgAYIqAABFSCg9ghoIAzoa4e9tb3dCWgHCKgAAbVHQANhQH/vkiGgiRFQAQJqj4AGwoDe6dyI7dvZhoB2gIAKEFB7BDQQG9Dj2u72OwLaAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtEdAAARUgoAIE1B4BDRBQAQIqQEDtDZ+Anj6hYGVungP6c7PLAiBlizIL6JlHvpyO3kJhVeOan+c5oL9J6bKka2mhkPUUOtXXl/UMOlUo9GY9hU71Lst6Bh1aVXyYn+bxlvMUviV9QM+/ua0fPt7+dCnjKbwAT+HtDZ+n8AQ0xgddIiMeaX++dBFQAQJqj4AGhlNA35osoO7W9udLFwEVIKD2CGhgmAX06FPb+Yhzt7Q/X7oIqAABtUdAA8MsoO3fxnQGAU2CgAoQUALaEgGtIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7RHQAAEVIKACBNQeAQ0QUAECKkBA7eUioDf5qmdLoxVXTRk/48aXmzcioDEIaHoIqAABtQjo5fUBXTzZ+4neT2v+ciagMQhoegioAAG1COgM/9grZaWwneZnFKLnpvnLmjYioDEIaHoIqAABtQjoZP9K/+2FfsLK4mLxmJ4XGjcioDEIaHoIqAABNQjomp66Nl7rLy0vv+LnNm5FQGMQ0PQQUAECahDQv/jpA4Nz/bzy8hY/p3ErAhqDgKaHgAoQUIOA/smfd+sXxn/uoj+XBif7B8sr5/nzq3f/+o6yUyauTkdfofBK45pfDPuAfj+la5fY0sJS9Slfr75lWc+gU4VCb9ZT6FTv8qxn0KFXiv9KpXm8lQYBneu9HzvJ+zE/Lg4m+afLK+/uf1g6elTZ5AkFK3OHfUD/zezaAUhukUFAr/ITfv9a9NLV/pDHo2isr2RjgZ9avZuADo6AAnliEdAn7ymUlxf786LoqP5HoCdV7/7+d8v+5ciX09FbKKxqXPPzYR/QG1O6doktLRTUp3y9+pZlPYNOFZ/CZz2FTvUuz3oGHVpVfAqf5vGWG/4o5wN+ShSd6B8qD+b5sxvv5UWkGLyIlB5eRBLgRSTDgC7xY9dHM/1d5cFtfnbjvQQ0BgFNDwEVIKDpB3TV3J9UbizwJ0bR9f6K8mCmv71xMwIag4Cmh4AKEND0A7p+or+nfGO2/1YULeo5enXx9opx415q3IyAxkgU0BnOHXhce+esaT+pxAioAAG1l4OARj/wE++LotU39ByxrDg63V+0Nlo9w89q2oqAxkgU0INcMte2n1RiBFSAgNrLQ0DXft37I6b0+CPml0aLJvrDpo/zx69s2oqAxkgU0I8lDOjF7SeVGAEVIKD28hDQKLrrzCPGf+nK6kR7r5g0dso1q5q3IaAxkgb0gvntnEFACag9Ason0rc0RAN6c9uNvkNACag9AkpAWyKgFQRUgIDaI6ABAhqHgBJQAQJKQFsioBUEVICA2iOgAQIah4ASUAECSkBbIqAVBFSAgNojoAECGoeAElABAkpAWyKgFQRUgIDaI6ABAhqHgBJQAQJKQFsioBUEVICA2iOgAQIah4ASUAECSkBbIqAVBFSAgNojoAECGoeAElABAkpAWyKgFQRUgIDaI6ABAhqHgBJQAQJKQFsioBUEVICA2iOgAQIah4ASUAECSkBbIqAVBFSAgNojoAECGoeAElABAkpAWyKgFQRUgIDaI6ABAhqHgBJQAQJKQFsioBUEVICA2iOgAQIah4ASUAECSkBbIqAVBFSAgNojoAECGoeAElABAkpAWyKgFQRUgIDaI6ABAhqHgBJQAQJKQFsioBUEVICA2iOgAQIah4ASUAECSkBbIqAVBFSAgNojoAECGoeAElABAkpAWyKgFQRUgIDaI6ABAhqHgBJQAQJKQFsioBUEVICA2iOgAQIah4ASUAECSkBbIqAVBFSAgNojoAECGoeAElABAkpAWyKgFQRUgIDaI6ABAhqHgBJQAQJKQFsioBUEVICA2iOgAQIaJ1FA133pg6MS+KeHCKgCAbVHQAMENE6igBavQSITCKgCAbVHQAMENE6igP48YUB7CKgCAbVHQAMENE7SgE7ta+duAipCQO0R0AABjZM0oF9su9GjBFSEgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGoeAElABAkpAWyKgBFSGgNojoAECGqcY0LP72rmNgA4lBNTe8AnomRNXp6OvUHilcc0vCGh0oUsmUUAPXr20sDSl/10yfcuynkGnCoXerKfQqd7lWc+gQ68U/5VK83grMwvo6RMKVuYS0OiYNAP6KbP/VUCuLcrwKfz6dBSfwq9rXPNrAhod7dyuo9rZJelT+PXFp/Ap/e+SWb4i6xl0qvjgKOspdKrvxaxn0KG1xafwaR5vNd8DbSnPAW3/ItIFfA90KOF7oPaGz/dACWgMApoeAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwSUgMoQUHsENEBA4xBQAipAQAloSwQ0YUD7fnhzAv8l/PtGQAUIKAFtiYAmDOjfuERGtz1dagioAAEloC0R0GQBXZ2sn267tqdLDQEVIKAEtCUCmjigbz61ra0IaCsE1B4BDRDQOPqAvrftkaKdCWgrBNQeAQ0Q0DgElIAKEFAC2hIBJaAyBNQeAQ0Q0DgElIAKEFAC2hIBJaAyBNQeAQ0Q0DgElIAKEFAC2hIBJaAyBNQeAQ0Q0DgElIAKEFAC2hIBJaAyBNQeAQ0Q0DgElIAKEFAC2hIBJaAyBNQeAQ0Q0DgElIAKEFAC2hIBJaAyBNQeAQ0Q0DipBvRvLjjzq2de0Mq5BPT1I6D2CGiAgMZJL6DzE37UJwF9vQioPQIaIKBx0gvofxNQEQJqj4AGCGicVAP63ivbmZViQF/sS2J9u8MQUAECSkBbIqClgPa03WhFegG9fONED3hHrWlzHAIqQEAJaEsEVB7Q/RJ+y+ChNschoAIElIC2REDlAf2wcwcc2M5I5+5vcxwCKkBACWhLBDSLgLb/Ev8sAR0SCCgBbYmAElAZAmqPgAYIaBwCSkAFCCgBbYmAElAZAmqPgAYIaBwCSkAFCCgBbYmAElAZAmqPgAYIaBwCSkAFCCgBbYmAphnQbdxG27e1KQHNDwJKQFsioGkGdJOEP2REQPOCgBLQlghomgHd2G381rY2JqD5QUAJaEsENN2AJvge6NapBfTls45L4uK17SclQUDtEdAAAY1DQJevuDjhdwxuaj8pCQJqj4AGCGgcArp8xZcTBvQb7SclQUDtEdAAAY1DQMsBPfuOdr5IQF8HAkpAWyKg+Q7oj9seaTYBfR0IKAFtiYASUBkCao+ABghoHAJKQAUIKAFtiYAOzYAe5Nyubd5Puuee26UW0DUT279/tegj97b/47VAQO0R0AABjTPMA7pnwhfYUwroHQlP9/q+pgmoPQIaIKBxhnlAd9MG9D8Tnm58+z9eCwTUXg4DuuKqKeNn3Phy82oCGoOAJg9ou++BRtGH0gzoKW03esC5fS5o62R/5mB3ffWrM2s3L3mm7emGBAJqHtDFk72f6P205p9MJqAxCGiOA3pnwoepiXyo7emGBAJqHtDT/IxC9Nw0f1nTegIag4DmOKA/TDOgI9uebkggoNYBXegnrCwuFo/peaHxji4D+mpfs6cef7y3cc1PCCgBjZIH9ILga6rZDxIGdNSV7Vzo3J5tN7pySwKa0PK2/++Knhm4ufTxx58eZKv17c8WMg/otf7S8vIrfm7jHd0F9C87J/sHnIAS0GQBPTPhQ8JEAW3/ItKziZ6db09Akzm264f4oY9086lc5gE9188rL2/xcxrv6C6gNya8GASUgCYL6OEJv6IIaJysA7p1t7WM83QXEzAP6Mn+wfJynj+/8Y7uAnq9c287sJ29CSgBjRIG9LPO7d32K+qtBDRe1gHd0m3e9n/egRs798m2G+3g3JNdTMA8oJN8pet3++nVNad8ruKI5V2YkzCgu7Td6IPO7dD+2ju3VfuNNnIbt99oU+c+3najLYp/vdputJ1z+7Td6C3O7dV2o7c7t1vbjd7n3E5tNzrAua3bblS8UJu232gT5w5ou9Hmzu3bdqNti1Vvu9HIhAHdo+1G73FuZNuN/t65bdtuVPxi2eyAtt6/49+03+jDO+3VfqOPjNyj/UYf+6tdPh6s3H//pvFuO3+0/aHe+uZ922/0zh0/0H6jTdIM6P1dBOkF64CO9ZXHXQv81Oqa0aPKJk8odOHbaT5kB4Cae7sI0iLrgB7V/wj0pDQCeu8OWV9lAMPR+xcPxYCe6B8qL+f5s6trnnu27IyJa7vx4mPN7p0/v3nVwgeCrUKP/G+CjR67N8lGiY5Ut9H9gx71/oUJjvTgggQbPfRggo0eTnKhFt732GP3zL+nzVYmF2pw9z/S9jD3PfbgwwmO9NBDCTZ6OMnVXHh/go0eHfyPN39+/0VMdA3+kGSjP7W9UKUzJ/mKui/mi+We5nUPJvk6WHh3go0e/WOCjZJdg7qr+ej8+YNc22de7aZHL1sHdKa/q7y8zc9uvMPwjfRD3splWc+gU72FpVlPoVP8Vk6BrF9E6lju3kh/vb+ivJzpb2+8g4DmCQEVIKD2chfQRT1Hry4uVowb91LjHQQ0TwioAAG1l7uARqf7i9ZGq2f4WU3rCWieEFABAmovfwFdNNEfNn2cP35l03oCmicEVICA2stfQKPeKyaNnXLNqubVBDRPCKgAAbWXw4AOgoDmCQEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2CGiAgAoQUAECao+ABgioAAEVIKD2hlFAPzoxHRMOPzylI8lMmJD1DDp1OBfZ3uGH527KE47IegadSvkiH5FdQEcBQN5lFNC556Xkk6NGnZ3WsTCIj47aN+spDH8fGLV/1lMY9r46atQ/pnzI/80moKk5ctSoV7Kew7D3j6P2z3oKw98HRh2a9RSGvaWjRh1negICihgEVICA2iOgAQIqQEAFCKg9AhogoAIEVICA2iOgAQIqQEAFCKg9AhqYOnr06qznMOyNG31w1lMY/kaPTuuHSzCY3tGjTzI9Qf4CCgBDBAEFgC4RUADoEgEFgC4RUADoEgEFgC7lLaArrpoyfsaNL2c9jeHgqcuOPXTqOQ9XBg3XNeEAyTx16BmVG1xkI7869bCjZy6s3BZf5JwFdPFk7yd6Py13H5479PxmjPdTxvmeG0uDhuuacIBk1nzBVwLKRbax9uveHzHe9/yiNFBf5JwF9DQ/oxA9N81flvVEcm/5OH9Rb7T2P3p67o+armvCAZK5ylcDykW2ca2f8vj69XP9ZwqR/iLnK6AL/YSVxcXiMT0vZD2VvLvFf2ltaXmNP6/puiYcIJl7eiZWAspFtvHC2DHPl5YX+B9ncJHzFdBr/aXl5Vf83Ixnknvn+xvKy4X+mKbrmnCARFYcffRPKwHlItv4YekhQFHvw89mcJHzFdBz/bzy8hY/J9uJ5N85x8wvL5/wRzdd14QDJHKev/t3lYBykW2c5385MJBf5HwF9GT/YHk5z5+f8UyGjRv915qua8IBkviZ/1ZUDSgX2cYp/oHHrz9j5nXl5/Hyi5yvgE7yT5eXd/vpGc9kuLjvUP9A03VNOEACz40/YXUtoFxkG1P8d3p80fhfRRlc5HwFdKxfUl4u8FMznsnwsPq6Q/xNUdN1TThAe2tPHvNoVAsoF9nGOO9nLHj52W/7sc9kcJHzFdCj+v/hsP2Qvw3Eb4/x439WutFwXRMO0N73/Pej/oBykW0c5j9ffj/JJf7CDC5yvgJ6on+ovJznz854JsPAigu8v7DyD3HDdU04QFtPHFJ+q1g1oFxkGyf4n5aXD5UeTcovcr4COtPfVV7e5mdnPJP8WzLZT63+9FvjdU04QFt3+QGPc5GNzPD3lpcv+DHr9Rc5XwG93l9RXs70t2c8k9xbdYI/56XaoOG6JhygrbuPKzvajzvuuKe5yEZm9z8C/XwGDoTnawAABXVJREFUX8n5CuiinqNLvw9pxbhxL7XdFi392H9tff+g4bomHCCp6lN4LrKNJ/yJ60rLWf7yDC5yvgIane4vWhutnuFnZT2R3Pu8v39dVdR0XRMOkFA1oFxkI1/2F6yIXv1+z2dK39BXX+ScBXTRRH/Y9HH++JVZTyTv1h7S/9250q99bbiuCQdIqBZQLrKNZ47wPceO8Z/5dWmgvsg5C2jUe8WksVOuWZX1NHLved8Q0MbrmnCAZGoB5SIb6f3WseM+f9nz1YH2IuctoAAwZBBQAOgSAQWALhFQAOgSAQWALhFQAOgSAQWALhFQAOgSAQWALhFQAOgSAQWALhFQAOgSAQWALhFQAOgSAUVuLDj14HdtvtN7Jv3Xa1nPBKggoMiJNSds5Ko+8ERl1TN/mJ/tnLChI6DIibHOjZh8+S3fPGU357b/S3nVGW7HjCeFDRwBRT7c7Nx7FpVvrTnLudHlWwQUGSOgyId/du6p2u3POFd+7k5AkTECinzY1e3df/uHzl1ZWrYM6ItrzeeEDR4BRT7s7Hbtv71kxoy7ouiEyitKl5fWvHTRfjts/Z4THinfPdv9bXTdXm6jnT753XWVHZafvf8uW7573G/108bwRkCRDx9z7tLGNXUBvW+3yu2Nzi/dUQzoWdXX6/dfUVrx2+2rw5Pl08bwRkCRD9cW+/eJH7zYsK72FP7/ioE87Mp/n/5G5y6ISgHdYiP3gXO+d9JbnDuoOH7+zW6r//eDH5+/i3M/0U8cwxkBRT6sO7L0EPINfz/zzjX962oB/We36Y9Ky6f2dlv8Xymgzk0pvdn+uVHO3RJF1zh3R+nuP2/mjs1g5hjGCCjy4roPV56Hb/mpm16trKkGdKFzX6qs+KVzp5cDukdli8c2Kb3h6Ytus/WV7Sefo582hjMCivx48uoJI8sN3ePe8rga0Aude6a6xV7ugHJAL6uOD3dbRtF5zn17XQbTxfBHQJEvC2Z9fGPntniwdLsa0HFul9q9h7iR5YD+pjqe5dyi6LGtnNv9q79dncFsMcwRUOTOgo84d2DpRjWgH3V1tioH9Nnqpv9ZbukdbyvdM+LAb6/IbM4YnggocuHuG24YGKzYw238StQf0L+rD6hbVx/Qnzn338XF6h9O3rl031/9Sj5xDGsEFLlwTum5eL8TnHs46g/oAW6/hm2LAf3twM0nqzcfmzPKuR2X2k8VGxACily4wblbB0Y9zi2J+gM61Y1cX71j7dp15WrOqo6PdputjZ5+urcymuXcbbIZY0NAQJELz45we/W/CrRoW/fu0rIa0H937keVOwrbVN/G9NeVz1z+8xvch6NoF3dw5e6Fzv2bdNYY7ggo8uHzzo2ufApo9Mz7nLumdOMMt03poeeru7i3lH8Kfo13Gz1ReSP9CaWPElm8r3PXRZF3m5dftI9mVJ75A2khoMiHlcUYbnbA1AsvP/XTmzh3SPk5+1nOzXlwURTdvpHb4uhv/+Sydzp3WlQO6BZu3wtumr6Lc/sXN5zr3IgvXv9fV/+Tc/+wvs1pgE4QUOTE8mP7f6XHxl+o/Djn3NqHidy4RfWOL5ZWFwP60zdWVnykr7Ti1Nqe+y7Pbv4YjggocuOBM/fbZcSOow49+4namnN332yX8tubnpm+z7bbvP+Yh8priwF96bkvvnXEm/a/uvoDSPce+b43bb3P2NszmDSGNQKKYacU0KzngA0DAcWwQ0ChQkAx7BBQqBBQDDsEFCoEFMMOAYUKAcWw86MDD3wl6zlgw0BAAaBLBBQAukRAAaBLBBQAukRAAaBLBBQAukRAAaBLBBQAukRAAaBLBBQAukRAAaBLBBQAukRAAaBLBBQAukRAAaBLBBQAuvT/AZLW7zQ6owxQAAAAAElFTkSuQmCC" alt="img" /></p>
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<h4>Figure IX, Probability Density Histogram</h4>
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<p><img 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rR8+XL14fMdd9xhm2653n//fblKcnKyg6tYUu/3NW7cWM5R28N36dKl3FVmzpxpe8S6srcd2Z8Vnfedq5E8d94HUJ0QwFdzNwzg8/PzV61apV5NCiHS0tIsn/moJzAhxKhRo8rdyB133CEXaN++/fXr120XGDZsmFwgNjbWaDSq860C6QULFtiuu2rVKvWqwuq++2uvvSbnDxgwoNyMvfzyy3KBV155xXK+i+l6J4BXFCU1NVUusGHDBquPzGaz+srrzp07y129IpUN4BWL5hWzZ89WZ06cOFHObNSokeXVierrr7+WC/j7+2dkZFh+ZHllXO6zLzUM8Pf3LyoqUuerV0VWx5JUXFysDm68e/duy4+qVClYBvDx8fGNHRASEiKXdySAd3ov2d8bTv/SFUVRhyR8/PHHbVecMWOGukPsBPCi4lrI6dpA+d+j8bvvvrP61LIdeHBw8JkzZ6wWmDBhgvz0nnvuKTdpW2q/bs8884zl/Hnz5sn5anD4j3/8w3IBtSHxn//8Z3Wm6wF8uWMTqr9Bg8FQWlrq4FdbtmyZXCs6OtrBVW7IlarGlYPWQweGK1/HwQDezi+loqOlRYsWcv7TTz9tu9bu3bvVgHP//v3lbtmKGmr27t3bkeWt/Pjjj3L1oKAgOefkyZNyjk6nu3Dhgu0qall/8skn6kxX9rYj+7Oi877TNZKHzvsAqhM6sasp3nvvvUQbsbGxYWFhd9555759++RiderUkX3A2G4hODj47bfftp1/8uRJtcOhd955p9wGrhMnTpQv7mZlZamXd1a6du2qPhi01Lt37wceeEBOq/fXJaPR2KZNmzZt2qhXYFbU+xdZWVnlLuBcul6j9tn73XffWX30888/y9sQKSkp6enpns6J+spfTk6OnDCZTP/4xz/k9MyZM8ttX/rnP//59ttvlwsvWrSo3C0HBga+++67tvPT09PlO64mk0l2YiT98ccfciI5OVl9oqsyGAzvvffeq6+++uqrr9p+6hxPl8KFCxdOOaCwsNDxbXpiL7nySz979qy8HPf391evay099thjlu1LK1JRLSTcVBt07969b9++VjPbt2+vNuUdM2aMbT7/9Kc/yQnb5+cVUVuJb9y40XL+li1b5ITa4Hnz5s2WC2zatElOqG19XRcQEPDOO+/Yzk9PT5c//JKSEsueTe1Tb07VrVvXzmKDBw+2PSWp1GBSuFbVuOv05MYDw101p312finl2rx5s+xPNCgoyOpFeumWW27p3bu3nFbf4rZPrYXsHwkVUW8yFhcXy9qvcePGspsMRVFsh0S5cuWKHLkwMDBw8ODBcqa79nZl96dwoUaqOud9AFUWAXxNkZOTYxsSXL582XKZjh07/vTTT+rdXys9e/a0bLil2rhxo6IoQoi0tDT1esVKXFzc//3f/8lp9QLUijrskC31iv/IkSOWeX733Xd//fXXX3/9Vb0atuLIQC9OpOs16ol8yZIlcier1Cd1jzzyiBdyot7TUSf2798vm/ImJCRU1AugEGLgwIFyoqJyv/3229U3Aqw0atTIdqb6Wu/u3bt//vln2wWGDRv21ltvvfXWW7JVquuqTik4zhN7yZVf+po1a2R/y/fee2+5xarX65966qkb5qGiWki4qTZQ+4ezUr9+fTnRvXt3208dufVgpUuXLnJc9EOHDllevssAvlmzZvfcc48MDi1fxC0uLpZPff38/NSHja674447EhMTy/3Iia9mNBrlhMlksrPYpUuX7NyuOnPmjLqkK1WNu05Pbjww3FVz2mfnl1KuVatWyYkhQ4ZU1PPluHHj5F0/B48Kq9qysizvLZaUlMgJdbd8//33Vst/99138vWE++67T23x7q69Xdn9KVyokbR4xgHgZQTwNZ1er7/pppv69+//xRdfbN26tVWrVhUtWdEVnjqYSvv27e0k1KFDB6vlrZTbha/Utm1b9dypvixgh9Fo3LJly+uvv+7IuDVuTNftbr75Ztnf7Llz5ywfelg+KHj44Ye9kJP8/Hw5oT7BUIdH6tatm50V1SPq999/L3cBta27LcsehlQtWrSQnQmVlJT07Nlz8ODBixYtcvzxoBM8XQqVbQPvCE/sJVd+6erL2JatdazY+UhVUS1kR6Vqg4oiE/VQbNq0qZ1PHRcQEKB2n6nGDLm5uRkZGUKIbt26BQQEdOnSRQhx8eJFtRfJ7du3y0imffv2zj3VLJed36CdDrQroj44VR/AusiVqsZdpyc3Hhjuqjntq+wvRc2VuitsdevWTd71k8+rb0jthsO5mkc9fgwGg3q0DxgwQB6TGzduzM3NtVx+/vz5csJyHAd37W0nap6K3LBGqjrnfQBVFgF8TVFRG/jS0tLDhw8vWrRo2LBh9q/VKnpMqp5l7Z/h1NXLvaoLDw+3M0CxqGCMelVGRsbUqVNHjBjRu3fv5OTk4ODg7t27v/HGG1evXrWzTdfT9YIHH3xQTlg+cNiwYYN8I6B9+/Zq9zyeoyjKlStX5LS6u9SetOfOnaurmHo5WFBQUO7GKzquKhIYGDhv3jx5aWgymebNmzdgwIDo6OjU1NTHH3984cKFlXrV3EFVoRQqxRN7yZVfunq02Hl2V9EwZuVu3A6nawPhQLxqOT6Ci2zfov/ll1/kewryca7asaj6Fr36NN6N788Li/c13EIN23Jzc+1Um/LZuC3b55yuVDVuOT0Jtx4Y7qo57atsvao2U1K7O3GdeiTYGWjdjlOnTsmJ+Ph4dWb9+vVlKF5aWrpixQp1/uXLl+WvIzo62vLX4avzlCUnaiTNnXEAeBkBPBxV0QMf9YQXFxdnZ3X1VcO8vDzbT+2vKyyu+69du2Y5f9WqVa1atWrVqtXo0aOnT5++Zs2azMxM+R5dcnKy2mavIk6n6zXlNof717/+JSe88x7dyZMni4qK5LT6sM7q6ccNyY7obOdbdj/uoFtuueXYsWMvvPCC+qqnoiiHDx+eNWvWQw89FBUV9eijj7rr6Z9UFUqhsty+l1z5patHi+WQVFZu+GMUN2pM62Jt4GW2AbzaAF6GKGoAr8btnmgAL4RQ+0d0izZt2qhPni3f/3eE0Wi0jaBcqWrccnpyL3fVnPZV9gUNNVeW0bKL1Lcejh075kgDFivq0W71YqD6urtlbbxo0SLZZOORRx6xvJnirr3t3AsvTtdIWjzjAPAmtz1MQLVX0SMI9eLP/hlabUOu9vpjybKXsnKpG7d8YP7VV18NGzZMnm4NBkOnTp3at2/fqlWrpk2bpqSk1KlTZ+nSpatXr7azWefS9ab09PSGDRueOXPm6NGjhw4dSk1NNRqN8q68v7+/einjUer7zxEREeqNf3VguXvuuee+++5zZDtms1kd9NtF4eHhkydPfv/993fv3v3DDz9s2bJl+/bt8i5DSUnJ7Nmzly9fvnPnTvUFChdVhVJwgnv3kiu/dPVosXPLwJGXXOw8CHW9NvCyxo0bN2vW7Pfffz969Oj58+fr168vA/gGDRrIx31paWnBwcFFRUUyDC4pKZHvA0dHR1sNYFalREZGtmnTZu/evUKI5cuX9+vXz/F1jxw5Yhs+uVLVuOX05F7eqTkr2/ZBzZUjL6o4qEuXLrVq1bp+/boQ4rvvvhs5cqTj6167dk1tlm/VfeCDDz743HPPmUymVatWXbt2TeZ8wYIF8lPL9+eF+/a2E21JXKmRNHrGAeA1BPBwldriUR3ipVzqS3Tq8pby8vJycnLsBMlqK1D1QcrVq1flsC5CiEceeeT999934tGBE+l6X79+/aZMmSKE+O6771JTU1etWiWfKtx2220V9TbkXmrHOV26dFGvY9QnEgkJCY50P+YJOp0uPT1ddsZbVla2a9euBQsWTJ8+vbi4+OrVq08++aQ6aLbrfF4KTnPXXnLll64eLWfPnq1oRct+yyrLLbWB9915552yze2mTZv69++/e/duYdFYVzaDX7NmzZkzZ06fPn369Oni4mIhRO/evZ1ode9Nffr0kQH83Llz3377bcfLwrbbbeFaVeOW05N7VYWa01ZUVJTcCadOnSq3Qz4nGAyGu+66S5bplClTnn76aceP2y+++ELe0fP397cKvGNiYm699dZ169Zdv3599erVffv2vXjxorz51bp16zZt2lgu7Ku97XqNpN0zDgAvqNIXAdCEdu3ayQl59VkR9VN1eStqZzO2Dh06JEcvCwwMbNu2rZy5fPly+SyxTZs2s2fPLvfsWFpaesP8VzZd77NqDuflfmiPHDnyww8/yOlHH31Una+W45EjR+ysXlhYmJmZmZmZ6a5u/LOzs7OysrKystTOriW9Xt+pU6e///3v6ujBmzdvtlrGFb4thcryxF5y5Zeu/nwOHDhQ0Yqy/zbnuKs28DLLt+h37NghC8Kyt61bb71VTvz0008eagDvCSNHjpRPPo1G47hx4xxcKzs7e+rUqbbzXalq3HV6ciNf1ZwO5spOd61r1qxJSEioVCSsDvJy7NixcocqLNeZM2f+9re/yeknn3zS9vV1q7foFy5cKDuPsDxDSb7a267XSNo64wDwMgJ4uEptqLljx46KWjxevnz5yy+/lNPqJamVSZMmVZSEei7v2bOnHLBXWDyv69y5c0WvF+7fv99+5p1I1/s6d+4sn//v3bv30KFDcqTi2rVr245L7HalpaVPP/20vM6Ii4vr06eP+lGnTp1q1aolhNi0aZOda75Ro0YlJycnJyc7N5qxrccee6xevXr16tWbOXNmuQv07NlTZqysrMyJhpcV8WEpOMETe8mVX7o6gNOyZcvkOMZWTCbTZ5995kg2yuWu2sDLevToIUcm37Bhg9oA3vL5p2UzeLnP3TuAnIdERUU988wzcnru3LnlhuVWSktLBw0aVG6LZVeqGnedntzIVzWnfeoYezNnzqyo3fiiRYvOnTt37ty55s2bO7jZtLQ09azx+uuvL1my5IarXL16tX///vLWeURExJtvvmm7TL9+/eQgc8uXLy8tLZXvz+v1etu+2X21t12vkbR1xgHgZQTwcFVKSop60TN+/Hh1vFaV2Wx+8cUXZSdwMTExFZ1+tmzZsnjxYtv533//vTp/xIgR6ny1z+qK3o3cs2fPRx99dMP8VzZdT7DfR5FOp1N32hNPPCHv699///3u7XrKVmFh4cCBA9Wr3ilTplgOzBscHPznP/9ZzVW5nfxt2rRpzpw5QgiDwTBo0CC35Ept/VvRldbOnTtlq0uDwVCvXj3Ht1w1S8E5ru8l273hyi+9bdu2ciTtsrKych/Eff311851VS25qzbwslq1avXo0UMIcfLkyblz5wohIiMjU1NT1QVkM3ghxPr167du3SqESE9Pd+I1bxdH5HbCW2+9pb7MPHr06LFjx9rpB/TixYu9e/det25duZ+6UtW46/TkRu6qOd1bpn369JHhYn5+/quvvmq7QEZGxjfffCOnK/WO/RdffCF7tjeZTA8++ODkyZNlL27l2rt3b+fOneULETqd7uOPPy73aI+MjJRD2eXl5X399dfyp3HnnXfavlvuq/OU6zWSts44ALyMAB5u8M4778h7zNu2bbvzzjst35I9c+bMXXfdNXv2bPnvxIkT7TzKHjJkyLRp09Tb/9nZ2X/729/69+8vr1R69Ohh+QRYfTVu1apVX331leV2ioqKXn311S5duqh9px8/ftxO/iuVrifk5eXJ1q0VUfuklVcqwsPv0Z05c2batGk33XSTOobNwIEDH3roIavFXnnllfDwcCHErl27Onfu/Msvv6gflZaWzpw5895775U9Az/++OORkZFuyZscHFsIsXHjxoceekgdakgIYTabf/jhB/Wip1+/fpXq4r6qlYIrXN9L5e4NV37pH3zwgewd+rPPPnvxxRfVn1txcfHnn38+YsQIdXknejp0Y23gZepb9IcPHxZCdO3a1bK7LL1eL298nD59Wt5wce79+Rse225nMBgWLVqkhjF///vfmzRp8sYbb+zZs0fWCUKIsrKyrVu3jhkzJiUlRXbF//rrr7du3dp2a65UNdjTD44AACAASURBVO46PbmRW2pO95ZpQECAemft008/HTBggOXL5Bs3buzTp49MrkOHDpVqUFa3bt3vv/9exuEmk+nFF19s2bLl1KlTMzMz1XsQ+fn5S5cuHTRoUFpamjoS+9SpU4cMGVLRZtW36J9//nm5Havu61Q+OU+5pUbS0BkHgLeVOxArqo20tDRZ0BWNA39Do0aNklv46quv7Cw2efJky+OqTp063bt3txrYeciQIVZrqS/TqgPGCiF0Ol1qamrTpk0t123QoMHJkyetVrcMKVu0aDFkyJBHH320Q4cO6i3qwYMHq9scMGDA9OnT3ZKuepN+3bp1lvOHDx8u58+bN8+R5RVFkRcWQoiOHTuOHDlSdlprq6yszKpLMKPRaKc47FOHtK1bt27j/9WgQQP5Tq+lfv36VZTckiVLLB/LN2zY8NZbb+3YsaNlv4C33Xab7eovvPCC/FQtFFsdO3aUyxw/ftxyvvq2pyy1hISEHj16dOzY0bI0Y2Njz507Z7lWlSoFy7fWf/vtN0dWUY+uQYMGOfK9nNtLyo32hnO/dMnyVWqdTteiRYu0tDT1+JkxY4acSExMtFrRkVrI6dpAceBovOmmm+QCtrtLURT1+rtNmzYVZa8iMm5XTZ482WoBqzY+O3bssN2Ic8e2+q3t7NWWLVvKZS5dulTZr6YoytmzZ9UtqPz8/KKjo6Ojoy27NAsMDPzss88URXn22WeFECEhIVabcrqqUVw4aD13YLjydeyUqSO/FDtHy7Bhwyz3SePGjXv27Gk5Mnx4ePiBAwcq2rIdmZmZti/e6/X6uLi4sLAwq/m1a9f+/PPP7W8wLy/P8m5LnTp1iouLK1rY6b3tyP6s6LzvSo0kufe8D6A6IYCv5rwWwCuKMnPmTNszsRQQEPDyyy+bTCarVdRA+qWXXvr0009DQ0PLXT09Pf3EiRO2Kebm5qpPGq3Uq1dvwYIFiqIkJiaqM1u2bOmWdN0YwKtv90kREREV7V5140KIkSNHVlgMDlAD+BsKCwubOnVqWVmZna2tWbPG6lJY5e/vP2zYsLy8PNu1XAngc3Nz5fuTFbnjjjuOHTtmtbUqVQpeCOCd20uKA3vDiV+66uOPP7Z9yKnX6//xj39kZmbKf1NTU63WcqQWcro2UHwawCuK0qhRIzVX27dvt/p027Zt6qdRUVHl7lvnjm0vBPCKohQXF0+aNKmiOla67bbb5AByiqIsXLhQlBfAK85WNZJzB61HDwynv46dMnUxgDebzRMmTLCMdS0lJibu2rWros3eUHFx8Ycffmh/QHU/P78+ffqoB4N9DzzwgLriiBEj7C/s3N52JYB3pUay3bhw+bwPoDphGDm4zeOPP96nT5+ZM2f+8MMPx44dy87ODgsLa9SoUe/evYcNG5acnGxnXZ1ON3LkyAcffHDmzJnLly/PzMzMy8uLjY1t27btoEGDBg4cWO7wM+Hh4T///PP8+fO//fbbo0ePnjp1KiwsLDU19YEHHhg+fLi8z71o0aJRo0bt27evTp066u0MF9N1o08//TQqKuq77767ePFinTp1rJ7/W+rfv7/aIZlH36MLDg6Oi4tr2rTpAw880K9fP/vXW0KI22+//ejRo7Nnz162bNmBAwf++OOPqKiopk2bpqamPvvss82aNXN7DsPDw9esWfPjjz8uXLgwMzPz9OnTly5dqlevXmJiYkpKypNPPmlb0PZVwVJwndN76YZ7w5Vf+qhRo26//fYpU6asWrXq4sWL0dHRXbt2HTduXLt27dTxICzfEajU93WxNvCVO++88/PPPxdC1K5d27YX9LS0tJCQkMLCQuHUAHKOH9seYjAYXn755REjRqxcuXLp0qWHDh26ePFiYWFhTExM/fr1e/XqNWDAAMuhv+6444558+bJ1hZWXKlqXDloPcTpr+O5MtXpdG+//fbQoUO/+OKLVatWnT17trCwsG7dum3btu3bt+///d//udLEwGAwjB079umnn167du3KlSv37NmTlZX1xx9/BAUFRUVFNW/evEePHv369UtKSnJwg4MGDVJ7xavo/XmVT85TrtdIGjrjAPAmneL1vm0AOGHbtm2dO3cWQjRu3PjEiROWDWXhNZSC5yxdulQ+Uhs+fPg///lPX2cHAHyMMw6AcvEEHtCGr7/+Wk488sgjnMV9hVJwTkFBwZNPPimEiIiIqGi4uBUrVsiJcrsxA4CahjMOgHLxBB7QgJKSkri4ODk07qFDhxwfhhduRCm4IiUlRTYJ/v33321f+s3Ly6tfv35RUZFOpzt9+nRCQoIv8ggAVQVnHAAVYRg5QAP++c9/yrN427ZtOYv7CqXginvuuUdODB06NC8vz/Kj/Pz8IUOGyEGV+vTpQ/QOAJxxAFSEJ/BAFVVaWnrx4sXY2Nhdu3bdc889+fn5QogZM2Y88cQTvs5aDUIpuEtBQUHHjh0PHTokhAgPD+/bt2/jxo0LCgqOHDmybdu2q1evCiEiIyP37t1r2Ss7ANQcnHEAOIIAHqiizp8/bzXsTUJCwvHjxwMDA32VpRqIUnCjzMzMwYMH79q1q9xPmzdvvmjRotTUVC/nCgCqCM44ABxBJ3aANkRGRi5fvpyzuG9RCq5ISkrauXPnkiVL5syZc/z48czMTJ1OFxMT07Fjx/vvv//BBx/09KiNAKAhnHEAlIsn8EAVVVhY+PLLL2/dulWv13fv3n3s2LHx8fG+zlSNQykAALyDMw4ARxDAAwAAAACgAbyvCAAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABogN7XGYBHTJs2bf369b7OhTuZzWY54efHXSftURRFURTKTotk2QkhdDqdTqfzdXZQaWazmbLTKE58msaJT7s48WmdRk98o0aNuv322x1ZkgC+esrJySkuLr733nt9nRG3uX79uhBCp9MFBQX5Oi+otNLSUpPJRNlpUWlpaVlZmRAiMDDQ39/f19lB5SiKUlxcTNlpkSw7IYSfn5/BYPB1dlBpRqNRURTKTouMRqPJZBJCGAwGbsFojqw8NVR2JpNpzpw5QoiioiIHVyGAr7ZiY2OfffZZX+fCba5cuSKE8Pf3r1Onjq/zgkorKioyGo2UnRYVFRXJ22dhYWGBgYG+zg4qx2w2X716lbLTIll2QoiAgIDw8HBfZweVVlBQYDKZIiIifJ0RVFphYaG8fRYeHh4QEODr7KByTCZTTk6OhsrOaDTKAN5x2rgzAQAAAABADUcADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGiA3tcZcL8NGzZMnz592rRp9erVc3CV/Pz8+fPn79ixIz8/PykpqVWrVn379q1Vq5Z7M+ZEKqdOnXr++edTU1Pfeust92YG7nXmzJmPPvro+vXr3kkuPDx8/PjxderU8U5yAAAAAKqCahjAr127tri42PHls7KyXn755ezsbCFEeHj4wYMHDx48+Msvv0yaNCksLMxduXIiFaPR+OGHH5aWlrorD/CcF154YeHChV5O9P333/dyigAAAAB8qFq9Qn/t2rVZs2YdPHiwUmtNmzYtOzu7RYsWs2bN+uabb6ZPn56QkHD27NlZs2a5MW9OpDJ79uzTp0+7MQ/wHHlrpnqnCAAAAMC3qskT+HXr1q1Zs+bkyZMlJSWVWvHIkSMHDhwICQmZMGFCaGioECI+Pv6vf/3r008/vXHjxkceeSQ6Otr17DmRyt69e1esWBEeHp6Xl+d6BuA1P/74o1uOmYrs379/2LBhnts+AAAAgCqrmgTwp06dunDhgsFgMBgMBQUFiqI4uOL27duFEGlpaTKulmJjY5s3b56RkbF9+/b77rtPnZ+Xl7dgwYLff//9zJkzERERqampffv2bdSokXtTEULk5+dPnTo1IiJi0KBBn332mYPfBVVB69at4+PjPbf9yt6iAgAAAFBtVJMAfvjw4cOHD5fTQ4YMyc/Pd3DF8+fPCyHatWtnNb9du3YZGRkXLlxQ5xw6dOi9997Lycnx9/ePjo6+cuXKhg0bNm/ePGbMmG7durkrFemTTz7Jycn561//ajQaHfwiAAAAAIDqrZoE8E67evWqECIqKspqvpyTk5Mj/zUajZMnT87Jyenfv//gwYMDAwPLysoWL148d+7cKVOmJCUl2X/o6mAq0urVq7dv337XXXelpaVt3brVpa8HAAAAAKguanoAL3sCs3yzXQoJCRH/CbyFEEuXLs3Ozu7Zs+fQoUPlHL1eP3DgwMuXL69du/b7779/5plnXE9FCHHhwoUvvviifv36jrdzHjJkSEFBgdXM2NhYk8lkdWugGqiyX6qsrMzLKZaUlFTNXVEuRVEURdFQhqEym81yorCwUKfT+TYzcA5lp0VqY8CysjIqTy2SlSdlp0Xqia+goIDKU6M0VHZOjDhW0wN4+bK97WDstWvXFkLk5ubKf3fv3i2EuPvuu60W69Wr19q1azMyMtySislkkuPGjRkzxmAwOPgVLly4YNtkIDIyUlEUk8nk4EY0pGp+Kce7XXBjilVzV9ihuQzDknpBA82h7DRNi7U9VJSdplF5apeGys6JWqKmB/AhISG5ubnXr1+3mn/t2jUhRHBwsPxXNlNfs2bNxo0bLReTK95wQC8HU/nXv/517NixwYMHN23a1PGvYPtgXwjh5+cnhNDKnSdHqBFydfpSrtDpdBraFbL4NJRhqPjpaZ2iKJSdRvHr0zROfJrGr0/TtHXicyKrNT2Aj4yMzM3NLSwstJov50RGRgohysrK5Fhu69atK3cjJSUl8kCx6j+vW7du48aNczCVzMzMRYsWNW3a9KGHHqrUV1i6dKntzDfeeCMzM7Nu3bqV2lRVduXKFSGEv79/nTp1fJ2XcgQEBHg5RYPBoKHyLSoqMhqNVbPsYF9RUZG8+RgaGhoYGOjr7KByzGbz1atXKTstkmUnhAgICAgPD/d1dlBpBQUFJpMpIiLC1xlBpRUWFhYXFwshwsPDvX+BBxfJ9rZhYWFaKTsn+iyv6QG8rFgtW6FLss2SDK31en1oaGhhYeHixYv1ent7rG3btvKhupSUlOR4KhcuXDCbzUePHu3bt6/VYvv27bv//vuFEB999FFycnJlvyMAAAAAoBqo6QF8UlLS3r179+3bZzUU3L59+4QQiYmJ8t+4uLijR4+eP3/eatT3oqKikydPhoSENG7cWAjx/PPPO51KrVq14uLirFYsLi7OyckJDAyUz1q1cicJAAAAAOB2NT2Av+222xYtWrRr166SkhK137j8/PyMjIzAwMAePXrIOa1btz569OiSJUv+8pe/WK4+d+7c5cuXDx48WAbwrqSSlpaWlpZmteLWrVvffffd5s2bv/XWW+74ugAAAAAArfLzdQa8auXKlcuXLz9+/Lg6Jy4urlWrVjk5OdOmTZN9AJaUlEyaNMloNHbv3l3tXq5///6hoaHr16+fMWOGbLhuNptXrly5YsUKg8HQq1cv++k6mAoAAAAAABWpWU/gv/zyS6PROHToUMuW5M8888yLL764ZcuWPXv2NGzY8MSJE0ajMT4+/rHHHlOXCQ4OHjNmzIcffrhixYqVK1fGx8fn5eUVFhb6+fmNHj06Njb2hkk7kgoAAAAAABWpWQF8ueLi4qZOnTp37tzdu3cfP348MjKyc+fOgwYNkoO0q9LS0qZOnbpgwYLjx4+fP3++bt26t9xyy0MPPZSQkODGVAAAAAAAKFc1DODnzJlT0UeLFi0qd35kZOSoUaNuuOWYmBhHFquIg6lY6ty587Jly5xOEQAAAABQbdSsNvAAAAAAAGgUATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAYQwAMAAAAAoAEE8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAXpfZwAeYTabzWZzcXGxrzPiZoqiVM0vZTabvZyiyWSqmruiXCaTqcqWHewrKyuTE0aj0fvHOVykKIoQorS0lLLTHFl2QohqeTavCUwmE2WnUSaTSU4YjUZ1Glohz3caKjuj0VjZVQjgqyd52igsLPR1Rtysyn4p79cRpaWlVXNX2KG5DMMSl6Hadf36dV9nAc4zmUxUntpF2Wkalad2aajsSktLK7sKAXz1FBAQoNfr69at6+uMuE12drYQwt/fPyIiwtd5KUdAQICXUwwKCtJQ+V67ds1oNFbNsoN9165dk2fB0NDQwMBAX2cHlWM2m3Nycig7LZJlJ4QICAgICwvzdXZQaYWFhSaTKTw83NcZQaUVFRXJe9ZhYWHev8CDi0wmU25urobKjifw+B86nc7XWXC/avmlnKO5XaG5DMOSTqejBDVHFhllp0WWRUbxaRdlp2lUnlqkuROfE/mkEzsAAAAAADSAAB4AAAAAAA0ggAcAAAAAQAMI4AEAAAAA0AACeAAAAAAANIAAHgAAAAAADSCABwAAAABAAwjgAQAAAADQAAJ4AAAAAAA0gAAeAAAAAAANIIAHAAAAAEADCOABAAAAANAAAngAAAAAADSAAB4AAAAAAA0ggAcAAAAAQAMI4AEAAAAA0AACeAAAAAAANIAAHgAAAAAADSCABwAAAABAAwjgAQAAAADQAAJ4AAAAAAA0gAAeAAAAAAANIIAHAAAAAEADCOABAAAAANAAAngAAAAAADSAAB4AAAAAAA3Q+zoDACrBbDbLiYULF27atMnTyRkMhj59+kyaNMnTCQEAAAC4IQJ4QEuOHTsmJwoKCgoKCryQ4uHDh5999tn4+HgvpAUAAADADl6hB7TEaDR6P9Hi4mLvJwoAAADACgE8oEnDhg1TPOzuu+/29bcEAAAA8F8E8AAAAAAAaAABPAAAAAAAGkAADwAAAACABhDAAwAAAACgAQTwAAAAAABoAAE8AAAAAAAaQAAPAAAAAIAGEMADAAAAAKABBPAAAAAAAGgAATwAAAAAABpAAA8AAAAAgAbofZ0BoIrKyclZs2ZNQEBA165dY2JifJ0dAAAAADUdATxg7fTp088999yqVauMRqOc06VLl88//7xFixa+zRgAAACAmoxX6IH/sW/fvs6dOy9btkyN3oUQv/zyS1pa2tSpU32YMQAAAAA1HE/ggf/auXPn7bffnp+fL4QwGEKaN7/dz8//2LHNBQWXi4uLR48eXVhY+Morr/g6mwAAAABqIgJ44N8KCwsffvhhGb1HRycPGTI9LKyeEKKkpPDHH9/Zt2+ZEOK1116rX7/+o48+6tusAgAAAKiBeIUe+LcXXnghMzNTCBEdnTRs2NcyehdCGAwhDzzwTqdOQ4UQiqI8+eST27dv92VGAQAAANRIBPCAEEKsWbNmxowZQgg/P33fvpOCgsKsFrj99udbtrxLCFFaWjps2LDi4mIf5BIAAABADUYADwhFUcaPH68oihCiZ8+RcXGptsvodH59+kysW7exEOLw4cNvvPGGlzMJAAAAoIYjgAfEypUr9+7dK4SIjGzYpcvjFS2m1xv69Jmo0/kJIT744IPffvvNe1kEAAAAUOMRwANi4sSJcqJbtyf8/PztLJmQ0KZDh0eEEGVlZePHj/dG5gAAAABACEEAD6xZs2bHjh1CiIiI+q1b33fD5Xv2fKZ27TpCiFWrVv30008ezx8AAAAACCEI4IGPP/5YTnTtOtzP78YDKxoMIV27DpfTPIQHAAAA4DUE8KjRLl26tGrVKiFEUFDYzTff7+Ba6emDwsPjhBDbtm374YcfPJg/AAAAAPgPAnjUaHPmzCkrKxNCtGp1t15vcHAtvd7Qo8cIOf3BBx94KnMAAAAAYIEAHjXa119/LSfatHmgUivefPP9YWGxQoiNGzfu2rXL/TkDAAAAgP9FAI+aa+fOnQcOHBBCREcnx8e3rNS6fn769PTBcnrq1KnuzxwAAAAA/C8CeNRcc+bMkROVffwupaU9FBBQSwixYMGC4uJid+YMAAAAAGwQwKPmWrp0qRBCCF2rVnc7sXpQUFjbtv2EEKWlpRcuXHBr1gAAAADAGgE8aqh9+/adOXNGCBEf3yI0NMa5jaSnD5ITFy9edFvOAAAAAKA8BPCoof7z+F00a3ar0xuJikpMSGgjhCgpKXFPtgAAAACgAgTwqKGWL18uJ1wJ4IUQbdv2d0d2AAAAAOAGCOBRE124cGHPnj1CiPDwuJiYFFc21bLlnQZDiJvyBQAAAAAVIoBHTbRixQpFUYQQTZv21Ol0rmwqIKBWixZ3uilfAAAAAFAhAnjURKtXr5YTzZr1dH1rzo1CBwAAAACVQgCPGkdRlM2bNwsh/P0DGzVKc32DDRrcrNeHy+lTp065vkEAAAAAsEUAjxrnwIEDV65cEUIkJNys1xtc36BOpwsOvklOq33jAQAAAIB7EcCjxtm0aZOcaNQo3V3bDAlpLieWLFnirm0CAAAAgCUCeNQ4P/30k5xo3NhtAXxgYIwQYUKII0eOZGRkuGuzAAAAAKAigEfNojaA1+sNDRq0duu2E+SfhQsXunWzAAAAACAEATxqGrUBfIMGrd3SAN5CA/nn+++/d+tmAQAAAEAIAnjUNJ5oAP8fYUKECiEOHDhw9OhRd28cAAAAQE1HAI+aZcuWLXLCjQ3gLdSXf+jKDgAAAIDbEcCjZtmxY4cQQqfzq1+/pQc2/+8AnrfoAQAAALgdATxqkKysrLNnzwohYmJSAgJqeSCFyNDQWCHEjh07zp0754HtAwAAAKi5COBRg+zatUtOxMe38FASyck9hBCKoixbtsxDSQAAAAComQjgUYOoAbxn3p8XQojk5O5yYsWKFR5KAgAAAEDNRACPGmTnzp1yon79Vh5Kon79NkFBoUKIDRs2FBYWeigVAAAAADUQATxqCkVR5BN4vd4QE5PioVT8/PyTkjoLIUpKSjZs2OChVAAAAADUQATwqClOnDiRnZ0thIiLa+7np/dcQikpPeTEypUrPZcKAAAAgJrGg2GM1wwZMiQ/P9/OAh999FFycnJFn86fP//bb78t96PPPvusfv36rubvP/Lz8+fPn79jx478/PykpKRWrVr17du3Vq3/6Qvda5mpgSx6sPNUA3ipadPuOp2fopiXL18+ffp0nU7n0eQAAAAA1BA14gm8Xm/vPsWlS5e8kIesrKy//OUvy5cvv3z5ssFgOHjw4Lx581544QWrWw/eyUzNtHv3bjnh6QC+Vq2IBg1aCyEuXrz466+/ejQtAAAAADVHdXgCP3PmzHLnHzp06PXXX09PT2/cuLGd1WXM/OGHHyYkJFh9ZDAY3JRHMW3atOzs7BYtWjz//PNRUVEXLlx4++23z549O2vWrNGjR3s5MzWTGkt7rgt6VdOmPc6e/U0I8cMPP7Rr187TyQEAAACoCarDE/ig8vj7+8+cOTMkJOSZZ56xv7qMmRMSEmw34q6Xn48cOXLgwIGQkJAJEyZERUUJIeLj4//617/6+/tv3Ljxjz/+8GZmaqz9+/cLIQICakVGNvR0WsnJXeXE6tWrPZ0WAAAAgBqiOjyBL9eCBQvOnTs3ZsyYyMhIO4sZjcarV69GREQEBQXdcJt5eXkLFiz4/fffz5w5ExERkZqa2rdv30aNGt1wxe3btwsh0tLSQkND1ZmxsbHNmzfPyMjYvn37fffdV9nMoFLOnTt35coVIURsbFOdzuP3rWJjbwoJiS4s/GPbtm05OTl1pQVvawAAIABJREFU6tTxdIoAAAAAqr3q8ATe1unTpxctWtSuXbtbb73V/pJZWVmKotSrV++G2zx06NBzzz23fPnyzMzMiIiIK1eubNiwYcyYMVu2bLnhuufPnxdC2L5KLedcuHChsplBZe3bt09OxMY280JyOp0uKamTEMJkMjGYHAAAAAC3qJ5P4GfMmGE2m4cOHXrDJeUr6xEREYsXL960aVNWVlZUVFRiYmL//v2bNGmiLmY0GidPnpyTk9O/f//BgwcHBgaWlZUtXrx47ty5U6ZMSUpKio+Pt5PK1atXhRDy5XlLck5OTk6lMmNl7969ZWVlVjOvX7+uKEppaekN94C2OP2l1AbwMTEpZrPZrZkSQghFUazmJCV12bdvmRBi9erV/fv3d3uK3lRWVubisST3efU7IGsC9fdSVlZGQx7NkVWTyWTi16c56k+vWp7NawKz2UzZaZTlic+3OYETZPFpqOycqCWqYQD/22+/HThwoFu3bomJiTdcWMbM27dv3759u16vDwsLO3fu3Llz57Zu3frYY4/df//9crGlS5dmZ2f37NlTvSmg1+sHDhx4+fLltWvXfv/99/Zb2svhxy3fn5dCQkLEf8J7xzNjxbYreyFEq1atTCZTXl7eDfeAtpjNZue+1J49e+REnTqNi4uL3ZopISzqelVSUmc5mNyPP/7o9uS8rKCgwC3HUvU7IGuUa9eu+ToLcFJRUZGvswDnlZWVUXlqF2WnaVSe2qWhsiOAF0KIr7/+2s/Pb/DgwY4sLGPmkJCQ5557Li0tTa/XFxUVzZs3b+nSpbNmzUpNTZUDyMsRyO6++26r1Xv16rV27dqMjAz7qcgA22rIdyFE7dq1hRC5ubmVygyccPDgQSGEELroaC/tw9q168TFpV64kHHu3LnDhw83b97cO+kCAAAAqK6qWwC/ffv248ePd+nSpUGDBo4sf9ttt91yyy0NGzZU328PDg5+/PHHc3JyNm/evGDBggkTJoj/NFNfs2bNxo0bLVe/fv26+M8DdjtCQkJyc3PlwpbkE63g4OBKZcbK4MGDbR8pHz9+PDs72/aWgXbJvafT6Zzo4e/69esnT54UQkRExAcHR7g/c0KU+2pxcnKXCxcyhBCrV6/WdABvMBhcPJZKS0tNJhO9M2pRaWmpfA8tMDDQ39/f19lB5SiKUlxcTNlpkSw7IYSfnx/jyGqR0WhUFIWy0yL1xGcwGPz8qmd/YdWYrDw1VHZOnKCrWwAvX1f+05/+5ODyiYmJ5b5p37t3782bN584cUJYvL22bt26cjdSUlKiKIpOpxsyZIjl2+zdunUbN26cECIyMjI3N7ewsNBqRTlH7SffkczYeuKJJ2xnvvHGGzk5OeqtgWpABvB+fn5OfKnDhw/LirhevZsCAgLcnzkhyq0jkpK6bN78uRBi3bp1o0eP9kS63lG7dm0Xj6WioiJFUarTAVlzFBUVyZ9PUFBQYGCgr7ODyjGbzcXFxZSdFsmyE0L4+/tTeWqR2Ww2mUyUnRYVFhaqJz4PXTfCc0wmkzzxaaXsnMhntQrg//jjj99++61OnTq2/b1XVmxsrBDi6tWriqLo9frQ0NDCwsLFixfr9fb2WNu2bS2biSYlJcmJiIgIYdHWXSW7r7M/0J1VZuhEygle7oJe1aDBzQZDSElJ4ebNm0tLS7VSjwAAAAComqpVAL9u3TpFUXr06OHgKxPXrl1bv369n5/fPffcY/WRHDO8YcOGMmCOi4s7evTo+fPnrUZ9LyoqOnnyZEhISOPGjYUQzz//fLkJJSUl7d27d9++fd26dbOcLwNL+dTd8cygstQAvl49rwbwfn7+DRu2O3Zsc0FBwY4dO7p27erN1AEAAABUM9poG+Cgn3/+WQjRoUMHB5evVavWggULPv/8871791p9JNu6N2v273ivdevWQoglS5ZYLTZ37twJEyZs27bNfkK33XabTqfbtWtXSUmJOjM/Pz8jIyMwMLBHjx6Vygwq6z892ImYmBQvJ92kSSc5UVH7CwAAAABwUPUJ4LOzs8+ePevv75+SUmGQtnLlyuXLlx8/flz+q9Pp5OPuv//97+pD2pKSkm+//XbNmjWhoaFqV/b9+/cPDQ1dv379jBkzZMN1s9m8cuXKFStWGAyGXr162c9bXFxcq1atcnJypk2bZjKZZCqTJk0yGo3du3eX7aMczwwq69ChQ0IIvd5Qp45DXRu6UZMmHeXE+vXrvZw0AAAAgGqm+rxCL4PepKQkO131fPnll0ajcejQoep4bAMGDDh58uS2bdtee+210NDQWrVq/fHHH4qihIaGjh07VrZdF0IEBwePGTPmww8/XLFixcqVK+Pj4/Py8goLC/38/EaPHi3bqNv3zDPPvPjii1u2bNmzZ0/Dhg1PnDhhNBrj4+Mfe+wxdRkHM4NKyc3NlePzRUUl6nTevmMVHZ0cEhJVWHhl+/bt+fn5YWFhXs4AAAAAgGqjugXwqamplVrL399//PjxW7ZsWbdu3fHjx/Pz81NSUpo2bTpw4MDw8HDLJdPS0qZOnbpgwYLjx4+fP3++bt26t9xyy0MPPZSQkOBIQnFxcVOnTp07d+7u3buPHz8eGRnZuXPnQYMGyaHgK5sZOE4+fhdCREU18X7qOp0uMbHDgQMry8rKNm/efO+993o/DwAAAACqh+oTwI8ZM2bMmDH2l1m0aFG587t162bVvVy5YmJiRo0a5UzmhBBCREZGOrK6g5mBgw4fPiwnoqN9EMALIZo06XjgwEohxIYNGwjgAQAAADit+rSBB8qlPoGPjk7ySQYSE//dDF52RggAAAAAziGARzWnPoH3ySv0Qojw8LiIiPpCiP3798sRAQEAAADACQTwqObkE3g/P31kZENf5aFx4/ZCCLPZvGXLFl/lAQAAAIDWEcCjOrt27drZs2eFEJGRDf39A3yVjcTE9nKCt+gBAAAAOI0AHtXZ4cOHzWaz8F0PdlJiYgc5QQAPAAAAwGkE8KjOfN6DnRQaGiNf4D948GBWVpYPcwIAAABAuwjgUZ35vAc7lWwGryjK5s2bfZsTAAAAABpFAI/q7MiRI3LCt6/QC4tm8Js2bfJpRgAAAABoFQE8qrPff/9dCCGELjKykW9z0rhxupygI3oAAAAAziGAR7VlNptPnDghhAgNjQ4MrO3bzISERNepkyCEyMjIYDR4AAAAAE4ggEe1debMmeLiYiFE3bqNfZ0XIYRo3DhNCKEoys8//+zrvAAAAADQHgJ4VFvHjh2TE3Xr+vj9ealhw1vkBG/RAwAAAHACATyqraNHj8oJnzeAl9Rm8HREDwAAAMAJBPCotiyewDf0bU6kiIj64eFxQohff/01Ly/P19kBAAAAoDEE8Ki2LAL4xj7NyH/Jt+hNJtPWrVt9nRcAAAAAGkMAj2pLBvA6nd//s3fnAVHV+//H3zMMIDAsIgoIuCCL+4b2TbPFJSVTq4uW9u3mtyyzcM2sNOveX/u9126apmaaZlnovUq5r2WiooLmjldwSTRxQdkRGGZ+f5zuXK4LMZyBwwzPx18fDmfm8xqHxTefrWHDUK2z/KZ5c5bBAwAAAKgmCng4J5PJdPbsWRHx9Q12cXHTOs5vrAU8G9EDAAAAsBUFPJzT6dOny8rKpM5sQa9o1Kill5e/iOzbt0854g4AAAAAqogCHs6pDi6AFxGdThcW1kVESkpKUlNTtY4DAAAAwJFQwMM51bUz5KyaNeuiNJhFDwAAAMAmFPBwTnXtDDkrZSN6oYAHAAAAYCMKeDinjIwMpVHXRuCDg9u4unqIyK5du8xms9ZxAAAAADgMCng4p1OnTomITqf382uqdZb/otcbQkM7ikhOTs7Ro0e1jgMAAADAYVDAwwmZTKbMzEwR8fUN1usNWse5mXUWPafBAwAAAKg6Cng4oczMTOUMuYYNQ7XOchvsYwcAAACgGijg4YSU+fMi0rBhmLZJbis0tJNe7yKMwAMAAACwBQU8nNDp06eVRsOGIdomuS03N8/AwGgRuXDhwrlz57SOAwAAAMAxUMDDCZ05c0Zp1M0ReBEJC/ttFv2uXbu0TQIAAADAUVDAwwlVGIGvi2vgpcIyeAp4AAAAAFVEAQ8n5AgFfFelQQEPAAAAoIoo4OGElALe3d3o4eGndZbb8/Zu4uvbVEQOHz6cm5urdRwAAAAADoACHs4mNzf32rVrIuLv30zrLJVRZtGbzea9e/dqnQUAAACAA6CAh7OxniHn51cXt6C3Yh87AAAAADahgIezqfsL4BXWfex2796tbRIAAAAADoECHs7GOgJfZ8+QUzRpEunubhSRPXv2mEwmreMAAAAAqOso4OFsKhwCX6dH4HU6fUhIBxEpKCg4evSo1nEAAAAA1HUU8HA2jlLAS4Vl8MyiBwAAAPC7KODhbM6ePSsiOp3e1zdY6yy/Iyyss9KggAcAAADwuyjg4VQsFktmZqaIeHs3dnFx1TrO7wgN7ajT6YUCHgAAAEAVUMDDqVy6dKm4uFhEfH2bap3l97m7G5s0iRCRM2fOXLhwQes4AAAAAOo0Cng4FWX+vNT5Q+CtrMvgk5OTtU0CAAAAoI6jgIdTOXfunNLw86vrC+AV1mXwFPAAAAAAKkcBD6di3YLeIabQCwU8AAAAgCqjgIdT+eWXX5SGo0yhb9gwzGgMEJEDBw7cuHFD6zgAAAAA6i4KeDiVCgW8Y4zAi0hoaCcRKSkpOXDggNZZAAAAANRdFPBwKv8u4HV1/xB4K6WAFw6TAwAAAFApCng4FWUTOy8vf4PBXessVcUyeAAAAABVobaAb9eu3fvvv289uwvQ0NWrV/Pz88VxFsArmjZt5+LiKiK7du3SOgsAAACAukttAX/8+PE33ngjPDy8V69e8+bNy87OtkssoBoqLIB3mPnzImIwuAcFtRGRS5cu8bcwAAAAAHeitoCPiYkREYvFsmvXrpdeeik4OHjIkCHLly8vLi62RzzABtbq17FG4EUkLIxl8AAAAAB+h9oCPjU1NT09/Z133mnXrp2IlJWVrVmzZvjw4YGBgSNHjty8eXN5ebk9cgK/T1kALyIOtIOdwrqPHcvgAQAAANyJHTaxi4iImD59+tGjR48cOfLGG2+0atVKRPLz85cuXTpgwICQkJBJkyalpqaq7wionOOOwDdr1lVpUMADAAAAuBN77kLfvn37d999NyMjIyUlZfLkyaGhoSJy6dKlmTNndu/ePTo6+u23387IyLBjj0BF1jXwDjcC7+3dxMcnSEQOHTpUVFSkdRwAAAAAdVGNHCPXrVu3GTNmnDt3Likp6aWXXvL09BSRkydP/ulPf4qMjLz77rvnzJnDdnewO8edQi//XgZvMplSUlK0zgIAAACgLqqpc+AtFktKSsq6deu2bt1604ji3r17x40b17x586lTp7JCHnakjMC7uxvd3Y1aZ7FZaCinwQMAAACojMG+T1deXr5jx47ExMTExMTz589br7u7u/fr1y8uLi4nJ2fJkiWHDx8uLCz88MMPr169+vnnn9s3A+qnoqKia9euiWMOv0uFjegp4AEAAADcln0K+Bs3bmzdunXVqlWrV6+uODfew8MjNjZ26NChgwYN8vHxUS5OmjRp9+7dL7744uHDhxctWjRlypSoqCi7xEB9lpmZqTSUxeQOJzi4rcHgbjKV7N6922Kx6HQ6rRMBAAAAqFvUFvAJCQmJiYnr168vKCiwXjQajQ8//PDQoUMfeughLy+vWx/Vs2fPpUuXdu7c2WKxpKamUsBDPWsB7+vrkAW8Xm8IDm6TmXnw6tWrp06dioiI0DoRAAAAgLpFbQE/YsQIa9vPz2/w4MFDhw7t379/gwYNKn9geHi40ggLC1OZARAR65INBx2BF5GwsM6ZmQdFJDk5mQIeAAAAwE3sMIU+ICDgkUceGTp0aN++fV1dXav4KLPZPGfOHBHp3r27+gxAhQI+UNsk1RYa+p9l8H/84x+1DQMAAACgrlFbwG/btu3+++93cXGx9YG+vr7x8fEqewesHPoMOUVYGBvRAwAAALgjtcfIHTlyRBlIr9zFixdnzZq1bNkyld0Bd+Loa+BFxGhs7OvbVESOHDlScVMJAAAAABD1BfzEiRMnTpz4u7dlZ2dPnDjx9ddfV9kdcCfWAt7b21Gn0Mu/D5MrLy9PSUnROgsAAACAukVtAV8VFotl586dInLlypVa6A71k1LAe3o2dHX9nQ0U67LQUGbRAwAAALg9m9fA79+/PzY29qaLjRs3ruQhJSUl+fn5IhIc7KiLk1HH5efn5+XliSNvQa9QRuCFAh4AAADALWwu4E0m09WrV2+6eOuV2xo9erSt3QFVUWEHO8cu4IOCWru6Nigru5GcnGyxWHQ6ndaJAAAAANQVNhfwISEh06dPt3747rvvikjFK7fvxmDo2rXr4MGDbe0OqArrAnhHH4HX6w3BwW3PnTuQnZ2dnp4eFRWldSIAAAAAdYXNBXxoaOg777xj/VAp4CteAWqfE2xBbxUa2uncuQMikpycTAEPAAAAwErtOfBjxoyxSw5AjfPnzysNHx8H3oJeUfE0+JEjR2obBgAAAEDdobaAnzdvnl1yAGo4zRR6EQkNZR87AAAAALdRG8fIATWtwhR6hz/pwGgM8PMLEZFjx44pW+sDAAAAgNg6Ar9o0SKl8eSTT3p4eFS8UkWjRo2y6X6gKv49hV7n7V3ZiYaOIiysc07OhfLy8n379vXr10/rOAAAAADqBNsK+Oeee05pDBo0SCngrVeqiAIeNeHChQsi4uXl7+LipnUWOwgN7XTkyDoR2b17NwU8AAAAAAVT6OHw8vLy8vPzxSl2sFNU3MdO2yQAAAAA6g7bRuCvXr2qNPz9/ZVGQUGBnRMBNlKG30XE27uJtknsJTAw2s3Ns7S0aM+ePWazWa/nD20AAAAAbCzgGzVqdNMVLy8v+4UBqsNawPv4OEkBr9e7NG3a7uzZlJycnBMnTrRt21brRAAAAAC0x8geHF6FEXgnmUIvIqGhzKIHAAAA8F9qsIDPzs5OTExcvHhxWlqaxWKpuY5QzznfFHoRCQvjNHgAAAAA/8W2KfR3snbt2sTExJYtW06fPl258uOPPz7++OPWNfP9+/dfsWKFr6+vXboDKnK+KfQiEhraSUQnYtm9e7fWWQAAAADUCXYYgX/55ZcHDx78xRdfnDp1SrmSl5f31FNPWat3Edm8efNDDz2kvi/gVv8+BF58fIK0TWJHnp4NGzVqLiInTpy4du2a1nEAAAAAaE/tCHxSUtLHH38sIm5ubqGhocrFZcuW/frrryLyySefPPjgg0uWLPnLX/6SnJy8cePG2NhYlT2iKsrLy8vLy3Nzc7UOYme3fVHnzp1TGu7ufiUlJbUeSkTEbDbb/TnDwjpnZ5+1WCx79uwZOHCg3Z+/6vLz81V+LZnNZrPZ7HxfkPVBeXm50igsLCwuLtY2DKqnqKiI987hWNcemkwmfng6ovLycovFwnvniKy/+AoKCjgJyEEVFhbqdDqtU1RJaWmprQ9RW8Ar1XtoaOiOHTtatmypXFy1apWIxMTEjBs3TkQ+/PDDQ4cObdy4ceHChRTwtcn5fujodLpbX9TFixdFxNXVo0EDby1C1ZTQ0E4HD34nIsnJydoW8Hq9XuXXkvIHDuf7gqwPrH+cUv9lgNqnFIG3/cmJOs5awPP2OSilCOS9c0T84nNoDveLrxo51RbwJ06cEJGxY8daq/eSkpKkpCQRGT16tPW2uLi4jRs3ZmRkqOwOVeTi4uLi4uLt7TwFrTK0rtfrb3pRZWVlymINH59ANzc3bcLVzG/osLDfNqLXfBm8l5eXyq+lwsLC0tJSZ/qCrD+sA+8eHh4afouhesxm87Vr13jvHJHy3omIk/02rz/y8/PLy8t57xxRQUGB8vcXT09PV1dXrePANuXl5aWlpQ703mkwAv/LL7+ISJs2baxXUlJSlFqrT58+1ovK7PrTp0+r7A64ycWLF5Ufsj4+znOGnKJx44gGDXxu3Mjbu3evyWQyGOyz5WTVFRUVKY1x48Z5eXmpeSqTyWQ2mysvIYxG49tvv21diQMAAADgJmpLAj8/v6Kiohs3blivbNq0SUSCgoIiIiKsFy9fviwijADA7pzyDDmFTqcLDe2YkbGzsLDw8OHDXbt2reUAJ0+eVBrr16+vnR7d3d3nzZtXO30BAAAADkftvN/w8HCpcFS12Wz+8ssvReSmPedTUlJEpHnz5iq7A25S4Qw5ZxuBl98OkxPRaBZ9WVlZLfeYl5dXyz0CAAAADkTtCHy/fv127tz5+eefP/zww3379v3ss88yMzNFZMiQIdZ7jh49+vnnn4tI27ZtVXYH3EQ570BEvL0ba5ukJliXwScnJ48dO1arGNu3bw8LC6u55z927FjFnxgAAAAAbkttAT9x4sSZM2fm5OQ8+OCDbm5uyir8Vq1aKSPw165dGzly5NatW0tKSnQ63eTJk+0QGajAKQ+BtwoN7ajT6S0W865duzSMERYWpsy1qSE5OTk19+QAAACA01A7hd7X13fNmjVNmjSRf++h5+XlNX/+fHd3dxHJz89fu3atskL+1Vdf7dy5s+rAwH+pUMA74RR6NzevwMAoEfnll1+srxQAAABA/WSHfa179ep16NCh9evXHzx4MCgoaNiwYZGRkdbPhoSEdO3adfTo0YMGDVLfF3AT6xR6o9EJp9CLSFhYl6ysEyKye/fuxx9/XOs4AAAAADRjn4OpgoKCnn322VuvN2/enGFD1CilgNfp9E65Bl5EwsI6p6R8KxTwAAAAQL2ndgo9oC2lgDcaA3Q65/xibtasi9LQdhk8AAAAAM3ZZwReRE6fPp2RkWGxWCq/bcCAAfbqEcjNzS0sLBQn3YJe4evb1McnMC/v0sGDBwsKCrSOAwAAAEAzdijgd+/e/b//+79nz56tys2/W+EDVVfhDLkm2iapUaGhnY8f32QymVJSUrTOAgAAAEAzamcdnzlzpk+fPlWs3gH7cvod7BTWWfS7d+/WNgkAAAAADakdgX/77bdLSkpE5A9/+MPzzz/fvHlzvd45lyKjDsrKylIa3t4B2iapUWFhv52/uGvXrkceeUTbMAAAAAC0oraA37t3r4g88sgjK1eutEcewAbWMw6cewp9UFAbNzfP0tKiXbt2DR48WOs4AAAAALSharTcYrGcOnVKREaPHm2nPIANLl68qDScu4DX611CQjqISF5envUlAwAAAKhvVBXwhYWFpaWlIhIQ4MwTmFFnVSjgnXkNvIiEhf22DD4jI0PbJAAAAAC0oqqAd3NzMxqNIvLzzz/bKQ9gg3qyC71U2MdOmfMCAAAAoB5SW8A/8cQTIjJr1ixOqEbtUwp4vd7F07Oh1llqVmhoJ51OLyLp6elaZwEAAACgDbU7xn/88cedOnVKS0sbMmRIWlqaXTIBVaRMoTcaGyvFrRNzdzcGBkaLyPXr17XOAgAAAEAbaneh37Fjx7Rp06ZOnfrjjz926NChZ8+eUVFRQUFBOp3utve/8847KnsEFNeuXSsuLpZ6sABe0axZl6ws/kYGAAAA1F9qC/hBgwZZ2+Xl5UlJSUlJSZXcTwEPe7HuYGc01osCPiysy75932idAgAAAIBm1BbwyiZ2QO2rP1vQK5o3j9E6AgAAAAAtqS3g8/Pz7ZIDsNX58+eVhtNvQa/w9m7i5xeSk3NB6yAAAAAAtOHkW3/BiVUYga8XBbwwCA8AAADUbzVVwJvN5hp6ZkBR36bQi0izZhTwAAAAQP1ltwL+l19+mT59eu/evYOCgoxGo4uLi4iYzebp06efPn3aXr0AVsoh8MIIPAAAAID6wT4F/AcffNCmTZv33ntv+/btly5dKiwsVK5bLJb33nsvIiJi+vTpdukIsKqHI/D+/s3d3X2Udnl5ubZhAAAAANQyOxTw77///rRp05QTuSMjI4cMGVLxs97e3koZP2HCBPV9AVbKCLyLi6uHh5/WWWqJTqdr2DBKaV+5ckXbMAAAAABqmdoC/sSJE8roenR09A8//HDy5Mnvv//e+lkXF5fTp08PHjxYRObMmXP8+HGV3QFWly5dEhEvr0Y6nU7rLLWnUaPfCnjl5QMAAACoP9QW8B9//LHFYvH19d24cWPv3r1vvSEgIOCf//xndHS02Wz+6KOPVHYHKHJycpRJH0ZjgNZZapW/f7TSyMrK0jYJAAAAgFqm9hz43bt3i8gLL7zQokWLO93j5uY2evToyZMnHz58WGV3gKKKO9jl5+fXzlRz5a8JtcDHJ0zEVaTs8uXLZWVlrq6utdMvAAAAAM2pLeDPnDkjIjExv7M5dnR0tIicPHlSZXeAosIOdnccgS8oKPj0009LSkpqK1Rt0OlcRBqJZJWVlf3888933XWX1okAAAAA1BK1U+jd3NxEJDc3t/Lbzp07JyL1aq0yapS1gDca77gF/dWrV52sev+3317yTz/9pG0OAAAAALVJ7Qh8ZGTkvn37fvjhh+eff76S2/bs2SMilUyzB2xiXQFeyRp4i8WiNBo3btysWbMazXPw4MFaPNfttwJ+x44dU6ZMqa1OAQAAAGhMbQEfFxe3b9++hISEESNG3HSAnNWJEyf+8Y9/iMhDDz2ksjtAYdMh8C1atBg4cGCN5jl27FgtFvANRVxEypOSksrLy11cXGqrXwAAAABaUjuF/qWXXgoJCRGRuLi4KVOmXLhwoeJnLRbL999/36dPn+LiYk9Pz3HjxqnsDlBUZQq989KLNBKR3NxcNoYEAAAA6g+1BbzRaFyzZk3Dhg1NJtOMGTNCQ0Otc5V79uwZHBz86KOPXrx4UafTLVq0qGnTpqoDAyI2jsA7I5bBAwAAAPWO2gJeRLp06fLzzz9bp8dnZmYqjeTk5EuXLolIaGjo+vXrhw8frr4vQKF8ael0ei8vf62zaOI/y+C1zQEAAACg1qgGPeqTAAAgAElEQVRdA69o3rz5+vXr09LS1qxZs2/fvqysrMLCQj8/v6ioqH79+j366KOcVg37UkbgPTx89Xr7fA07Gn+93mA2m3766Sez2azX2+EvcQAAAADqOHsWP23atGnTpo0dnxC4reLi4pycHBHx9m6idRatuHh6NisoOH3t2rXDhw937txZ6zwAAAAAahwDd3A8FXawu+MZck7P2ztcafz444/aJgEAAABQO9SOwJeXl6elpf38889XrlzJycmxWCwNGzZs3Lhxly5d2rRpwwFXqAn1fgc7ERGj8bcCfvv27ZMmTdI2DAAAAIBaUP0Cfv/+/fPnz1++fHl+fv5tb/Dx8Rk+fPiLL77I/F7YV/0+Q+43Xl5hrq4eZWXFP/30E6fBAwAAAPVBdabQFxQUvPjii927d1+4cOGdqncRycvLW7BgQUxMTHx8fGFhoYqQwH+pMAJff6fQ63QuYWGdRSQ3N/fgwYNaxwEAAABQ42wegS8oKIiNjd21a5fyYatWrR566KHmzZuHhYWFhobqdLrMzMzz58//8ssvGzZsyMjIMJvNc+fOPXr06Pr16728vOydH/VRVlaW0qjPI/Ai0qLFXadPJ4vIjz/+GBMTo3UcAAAAADXL5gL+pZdeUqr3iIiIWbNmDRw4sJKbN27cOH78+PT09B07dowbN+6LL76oflLg3yoU8I20TaKtli3vUho//PDDK6+8om0YAAAAADXNtin0e/fu/eqrr0SkY8eOe/bsqbx6F5HY2Ng9e/Z06tRJRJYsWZKamlrtoIAVa+AVTZu2c3PzEpGkpKSysjKt4wAAAACoWbYV8F9//bWIuLi4fP31140aVWnw09/f/+uvv3ZxcbFYLMrDAZU4Rk6h1xuaN48RkYKCgr1792odBwAAAEDNsq2A/+GHH0Tk/vvv79ChQ9Uf1b59+wceeEBEtm3bZlN3wG0pBbybm5ebm6fWWTQWHn630uCbCwAAAHB6thXwFy5cEJF77rnH1m569eplfTigRnl5+dWrV6XeD78rWrakgAcAAADqC9sK+NzcXBFp0qSJrd0EBQWJyPXr1219IHCTy5cvl5eXCwW8iIg0aRKp/Dvs3bu3oKBA6zgAAAAAalB1zoF3dXWthYcAt1VhC3oKeNHpdC1adBeR0tLSpKQkreMAAAAAqEHVKeABDVHA34RZ9AAAAEA9QQEPB3Pp0iWl4eXlr22SOsK6j92WLVu0TQIAAACgRlHAw8FYz5Dz9q7Xh8Bb+fmF+Ps3E5EjR45Y/3EAAAAAOB9DNR5z4MCBlStX2vSQ1NTUanQE3Mo6As8UeqtWrXpeu3bOYrFs27btqaee0joOAAAAgBpRnQJ+wYIFCxYssHsUoCpYA3+r8PAeKSkJIrJlyxYKeAAAAMBZMYUeDoYC/lbh4Xfr9QYR2bx5s8Vi0ToOAAAAgBph2wj8woULaygHUEX/LuB1bGJn5ebmFRLSITPz56ysrCNHjnTs2FHrRAAAAADsz7YCftSoUTWUA6gipYD39PRTxpyhaNWqR2bmzyKyefNmCngAAADAKTGFHo7kxo0bubm5wvz5W7RqdY/S2Lx5s7ZJAAAAANQQCng4ksuXLysNCvibhIR08PDwFZGkpKTCwkKt4wAAAACwPwp4OBJ2sLsTnU4fHn63iNy4cWP79u1axwEAAABgfxTwcCQcAl+JiIh7lcbGjRu1TQIAAACgJlDAw5FUmELfSNskdVBERC8RnYisW7dO6ywAAAAA7I8CHo7kypUrSoMR+FsZjQFBQdEicubMmfT0dK3jAAAAALAzCng4EqbQV846i37Dhg3aJgEAAABgdxTwcCTWEXgvL6bQ30ZkZC+lQQEPAAAAOB8KeDgSRuArFxrauUEDbxHZvn07h8kBAAAAToYCHo5EGYHX6w0eHn5aZ6mL9HqXiIheInLjxo2tW7dqHQcAAACAPakt4Nu1a/f++++fPXvWHmGA36GMwBuNjXQ6ndZZ6qjIyPuVxtq1a7VNAgAAAMC+1Bbwx48ff+ONN8LDw3v16jVv3rzs7Gy7xAJulZubW1JSIsyfr1Rk5L16vYuIrFu3zmKxaB0HAAAAgN2oLeBjYmJExGKx7Nq166WXXgoODh4yZMjy5cuLi4vtEQ/4D3awqwoPD9/Q0E4icvHixf3792sdBwAAAIDdqC3gU1NT09PT33nnnXbt2olIWVnZmjVrhg8fHhgYOHLkyM2bN5eXl9sjJ1DxEHgK+MpERt6nNJhFDwAAADgTO2xiFxERMX369KNHjx45cuSNN95o1aqViOTn5y9dunTAgAEhISGTJk1KTU1V3xHquQoj8Eyhr0xUFMvgAQAAACdkz13o27dv/+6772ZkZKSkpEyePDk0NFRELl26NHPmzO7du0dHR7/99tsZGRl27BH1yuXLl5UGI/CVa9Ik0s8vREQOHDiQmZmpdRwAAAAA9lEjx8h169ZtxowZ586dS0pKeumllzw9PUXk5MmTf/rTnyIjI+++++45c+aw3R1sVaGAZwT+d7Ru3UdELBbL6tWrtc4CAAAAwD5q6hx4i8WSkpKybt26rVu3FhUVVfzU3r17x40b17x586lTp7JCHlXHJnZVFx3dR2l8//332iYBAAAAYC8G+z5deXn5jh07EhMTExMTz58/b73u7u7er1+/uLi4nJycJUuWHD58uLCw8MMPP7x69ernn39u3wxwVozAV13z5jGeng2Liq5v3779+vXrDRs21DoRAAAAALXsMwJ/48aNtWvXPvvss4GBgX369Jk9e7ZSvXt4eDz22GPLli27fPny2rVrn3nmmUmTJh06dGjXrl0dO3YUkUWLFp08edIuGeD02IW+6nQ6vbIXfVlZ2YYNG7SOAwAAAMAO1I7AJyQkJCYmrl+/vqCgwHrRaDQ+/PDDQ4cOfeihh7y8vG59VM+ePZcuXdq5c2eLxZKamhoVFaUyxvLly5ctW3bbT82bNy8kJKTyh+fl5S1fvnzv3r15eXmtWrXq0KHDY4895uHhoTJVNXpR+UKc29WrV0XExcXV3d1b6ywOoHXrPocOfS8i33///ZNPPql1HAAAAABqqS3gR4wYYW37+fkNHjx46NCh/fv3b9CgQeUPDA8PVxphYWEqM4hIVlZWtR976dKl119/XdlUz9fX99ixY8eOHdu1a9cHH3zg4+OjPptNvah5IU5PmULv5dVIp9NpncUBtGrV02BwN5lKNmzYcOPGjd/9lgQAAABQx9lhDXxAQMAjjzwydOjQvn37urq6VvFRZrN5zpw5ItK9e3f1GZS696OPPrr1zwHu7u6VP/aTTz7Jzs5u167d5MmTAwICfv311/feey8zM/OLL76YOHGi+mw29aLmhTi3nJyckpISYQF8lbm6ekRE9DpxYlt+fv6mTZseeeQRrRMBAAAAUEXtGvht27ZlZWUtXLgwNja26tW7iPj6+sbHx8fHx9tlYFCpe8PCwhrcovLR2hMnThw5csRoNE6bNi0gIEBEmjZt+tZbb7m4uPz444/WRdcqVb2Xar8Qp8cC+Gpo2/ZBpbFy5UptkwAAAABQT20Bf+TIEWUgvXIXL16cNWvWnVZ3q1RaWnrt2jU/P79q/C1gz549ItKtWzdv7/8sqw4MDGzTpo3FYlE+a5Wbm/v555+/8sorjz/++OjRo2fOnPnLL7/YsRc1L8TpcYZcNURH9zYY3EVk9erVyvwFAAAAAI5LbQE/ceLEqswzz87Onjhx4uuvv66yu9u6dOmSxWIJCgqqxmMvXLggIl27dr3punLl119/tV45fvz4+PHj16xZc+rUKT8/v6tXr/7www+TJk1KSkqyVy9qXojT4wy5anBz8woPv1tEcnNzt23bpnUcAAAAAKrY+Rz427JYLDt37pQKg6j2pUw79/PzW7ly5fbt2y9duhQQENCyZcu4uDjrVnl3cu3aNRFRprVXpFy5fv268mFpaenf/va369evx8XFjRgxws3NzWQyrVy58ptvvpk5c2arVq2aNm2qvhc1L8TpKVvQCyPwNmrbtv/Jkz+JyMqVKwcOHKh1HAAAAADVZ3MBv3///tjY2JsuNm7cuJKHlJSU5Ofni0hwcLCt3VWFUvfu2bNnz549BoPBx8fn/Pnz58+f37179zPPPDNkyJBKHqtsC19xZrvCaDTKvwtvEfn++++zs7MfeOCBkSNHKlcMBsMTTzxx+fLlLVu2JCYmxsfHq++lei/k7bffLioquuliQUFBeXm58s/uHKwj8A0a+JaWllblIWVlZTWZyDFER/fW6w1msykxMXHevHlubm5aJ6pMWVmZM33ROgeTyaQ0iouLWYjhcCwWi/DeOSblvRMRJ/ttXn+YTCaLxcJ754isv/iKior0erWzlVHLlB+eDvTeVbGuqcjmAt5kMlnHQq1uvXJbo0ePtrW7qlDqXqPROH78+G7duhkMhsLCwoSEhO+///6LL75o27ZtRETEnR6bl5cnIrce+e7p6SkiOTk5yoepqakicusAZp8+fbZs2XL06NHKE1axl+q9kO3btyvPX1GHDh0sFosz/Y/t0qVLSsPDo6H1B2vlzGZzTSZyDA0a+LRq1TM9fcf169c3bdo0ePBgrRNVxmw2O9MXrZPhL2KOi/fOofGD0aHx3jk0fng6Lgd676oR1eYCPiQkZPr06dYP3333XRGpeOX23RgMXbt2raHioV+/fjExMc2aNbPOUffy8ho1atT169d37NixYsWKadOm3emxRqMxJyenuLj4puvKmLaXl5fyobJMffPmzT/++GPF25QHKgPslahiL2peiNOzrr/w9PTXNonDad9+YHr6DhFJSEio4wU8AAAAgErYXMCHhoa+88471g+VAr7ildrXsmXLli1b3np9wIABO3bsOH36dCWP9ff3z8nJKSgouOm6csXf319ETCZTbm6uiGzduvW2T1JSUmKxWHQ63VNPPVVxMPzee++dMmVKFXup9guZP39+eXn5TRe//vrrc+fO+fn53fYhjshawPv7N63iLv11fLp4rWndurfB4G4ylXz//feFhYXWPxjVQW5ubs70RescrLOvvby8bDorFHWB2WzOy8vjvXNEynsnIgaDQVlwB8dSVFRUXl5+6/JJ1H1FRUXKrGaj0Wgw1MZ+YbAj5YenA713tTGF/iZjxoxR+Qw1JzAwUESuXbumVNe3vUepFqyr0K2UjeWU0tpgMHh7excUFKxcubLyL4UuXbpUXI7eqlWrqvdS7RcSFRV160Pc3Nx0Op2jfOFWhXX+goeHt05XpTUtd3rT6xs3N6+oqPuPH99cWFi4bt26xx9/XOtEd+RkX7TOwbqEzMXFhXfH4SgriXjvHJF1FRg/GB2UTqfjvXNQ/OJzaMq4pgO9d9VY86v2hc2bN0/lM6hUVFS0bds2vV7/8MMP3/QpZWV+s2bNKinkWrVqdeDAgUOHDt17770Vrx86dEhErOPhwcHBJ0+evHDhQvPmzSveVlhYeObMGaPR2KJFCxGZPHlytXtR+UKASrRv/9Dx45tF5Ntvv63LBTwAAACASjjG7nyV8PDwWLFixWeffXbgwIGbPqWsV4+Ojq7k4f369dPpdCkpKRV3GcnLyzt69Kibm9v999+vXOnYsaOIfPfddzc9/Jtvvpk2bVpycnLlIavSi8oXAlQiMvI+d3ejiGzYsOHWmSAAAAAAHIJtI/CLFi1SGk8++aSyp7r1ShWNGjXKpvt/l06ne/jhh7/55puPP/74lVde6dSpk4iUlJT885//3Lx5s7e394gRI6w3r1u3zmw2t2nTxrqde3BwcIcOHQ4fPvzJJ5+8/PLLLi4uJSUlH3zwQWlpab9+/ayrhePi4jZt2rRt2zYPD48nn3zSaDSazeYNGzasXbvW3d29T58+lYesSi82vRDAJgaDe5s2Dx48mFhSUvKPf/zjhRde0DoRAAAAAJvZVsA/99xzSmPQoEFKAW+9UkV2L+BFZNiwYWfOnElOTn7zzTe9vb09PDyuXLlisVi8vb1ffvnlintiLV68uLS0dOTIkRXPY4uPj3/11VeTkpL279/frFmz06dPl5aWNm3a9JlnnrHe4+XlNWnSpI8++mjt2rXr1q1r2rRpbm5uQUGBXq+fOHGiska9clXppeovBLBVp06DDx5MFJGvvvqKAh4AAABwRI6xuL9yLi4uU6dOTUpK2rp1a0ZGRl5eXmRkZFRU1BNPPOHr6/u7Dw8ODp41a9Y333yTmpqakZHh7+/fs2fP4cOHK4e0W3Xr1m3WrFkrVqzIyMi4cOFCo0aNYmJiHn/88bCwsKqErEovKl8IUInmzbv7+YXk5FzYtWtXenp6ZGSk1okAAAAA2Ma2Al7ZTU0qbJx+69FoWrn33ntv2iLuVv/85z9ve93f33/s2LG/20WTJk2qctudVLGXqrwQwFY6na59+4d27lwoIt9+++1bb72ldSIAAAAAtrGtgG/UqNFNV+rymdIAKurYcbBSwC9duvTNN9/kUAMAAADAsTj8LvQAqqhx41ZNm7YTkVOnTu3YsUPrOAAAAABsQwEP1COdOz+mNBYvXqxtEgAAAAC2sm0K/UcffaSyv8mTJ6t8BgDV1rHjoM2b/2YylaxYsWLmzJkcbQAAAAA4ENsK+FdeeUVlfxTwgIbc3Y2tW/c9enR9cXHxP/7xj+eff17rRAAAAACqiin0QP3Spctvs+i/+OILbZMAAAAAsIltI/Amk6mGcgCoHS1b/o9yIPyePXsOHz7csWNHrRMBAAAAqBLbRuBdVKuhlwGginQ6fZcuf1DaCxYs0DYMAAAAgKpjCj1Q73TtGqfXG0Tk66+/Liws1DoOAAAAgCqhgAfqHaMxICrqfhHJzc1dsWKF1nEAAAAAVIlta+AXLVqkNJ588kkPD4+KV6po1KhRNt0PoCbExAw7cWKbiMyfP/+ZZ57ROg4AAACA32dbAf/cc88pjUGDBikFvPVKFVHAA3VBq1Y9la3s9u3bl5KS0r17d60TAQAAAPgdTKEH6iOdTt+t2xNKe86cOdqGAQAAAFAVto3AX716VWn4+/srjYKCAjsnAlArYmKG/vTT3LKyG8uXL//rX/8aGBiodSIAAAAAlbGtgG/UqNFNV7y8vOwXBkDtadDAp337h37+ObGkpGTRokXTpk3TOhEAAACAyth5Cr3JZDp16tTmzZs3bdp04MCB0tJS+z4/ADvq3n2E0pg/f77JZNI2DAAAAIDK2aeAN5lMc+fO7dKli4eHR0RExIABA2JjY2NiYnx8fAYOHLhp0ya79ALAvoKD24aFdRGRzMzMlStXah0HAAAAQGXsUMBnZWXdfffd8fHxBw8evGkQr6SkZMOGDbGxsSNGjCgpKVHfFwD76tHjaaUxY8YMbZMAAAAAqJxta+BvVVZWFhsbe+jQIRFxcXEZNmxYjx49wsPDXV1d09PT9+7dm5CQYDKZEhISSkpKVq1aZY/MAOymdeu+DRuGXr9+PjU1NTk5uUePHlonAgAAAHB7akfgFyxYoFTvMTExaWlp33777fjx4wcNGjRgwICxY8d+9dVXaWlpyhHTiYmJiYmJdogMwH50Ov1dd/2v0v773/+ubRgAAAAAlVBbwH/77bciEhQUtHr16sjIyFtviIiI+O6774KCgkRk0aJFKrsDYHddujzm7m4UkcTExIyMDK3jAAAAALg9tQX88ePHRWT48OFNmza90z1NmzZ98sknRWT//v0quwNgd+7uxpiYYSJSXl7OSngAAACgzlJbwBcVFYlITExM5bd169ZNRK5fv66yOwA1oUePkQaDu4gsWbLk4sWLWscBAAAAcBtqC/jQ0FARyczMrPy2c+fOiUhgYKDK7gDUBKMxoGPHQSJSUlLyySefaB0HAAAAwG2oLeAHDx4sIqtXry4vL7/TPWazec2aNSJy3333qewOQA3p2fMZnU4vIvPmzcvJydE6DgAAAICbqS3gX3vttcaNG+/Zs2f8+PFms/nWG8xm88SJE3ft2mUwGCZMmKCyOwA1pFGjFm3a9BOR3NxcBuEBAACAOsi2Ar78Fo0bN16/fn1ISMjcuXNbt249f/78/fv3Z2dnZ2dn79+/f8GCBW3atJk9e7aIvPnmm8pKeAB10333vSCiE5FZs2bl5+drHQcAAADAfzHYdrehsvvT09NffPHFO3129erVGzZsSE5OtqlHALUmMDA6Kur+kye3X7t27dNPP9U6DgAAAID/YlsBrwZnyAF13/33jzl5cruI/P3vf7dYLFrHAQAAAPAfthXwc+bMqaEcAOqCpk3bR0Tcm5GRdOXKFS8vL63jAAAAAPgP2wr4+Pj4GsoBoI7o02dcRsZOEUtRUZHWWQAAAAD8h9pd6KsoPz//sccee+WVV2qnOwDVFhzcNirqPhFhCj0AAABQp9RSAb9r167vvvtu8eLFtdMdADUeeCBe2Y4eAAAAQN1hh03sysvLP/nkk+3bt58+ffpON/zrX/8SBvQABxEc3LZNm35paVu0DgIAAADgP9QW8GazefDgwRs2bKjKzU888YTK7gDUjr59J6SlbRWxiEhWVlZ4eLjWiQAAAID6Tm0Br5zuLiItWrTo3bv3pUuX1q9fLyLPPvusm5ubyWRKTU09ePCg0WhcvHhxXFycHSIDqHmNGrUwGFqZTBki8umnn/bs2VPrRAAAAEB9p3YN/MKFC0UkKirq8OHDX3zxxbp16x588EEReeKJJ+bNm/f5558fOHAgPj6+oKAgNTVVp2NVLeAwXF07KT8iVqxYoayCAQAAAKAhtQV8RkaGiDz33HPe3t7Klf79+4vI3r17lQ91Ot2MGTPCw8NnzJhx9OhRld0BqDU6nVGklYiYTKapU6dqHQcAAACo79QW8OfPnxeRyMhI65W7775bRE6ePGm90qBBgwkTJih73ansDkDtaiviJiKJiYk7d+7UOgwAAABQr6kt4G/dWL5Vq1YikpaWVvFihw4dRGTr1q0quwNQu9xEWiutKVOmcJAEAAAAoCG1BXxgYKCInDp1ynolODjYy8vryJEjpaWl1ov+/v4icvHiRZXdAah1Ed7egSKyZ8+ehIQErcMAAAAA9ZfaAl7Zm3rBggUFBQXWi1FRUaWlpVu2/OcQ6WPHjolIkyZNVHYHoNa59Ow5Wmm9+uqrRUVF2qYBAAAA6i21Bfz//d//icjJkyfvuuuu2bNnKxd79+4tIlOnTr18+bKIXLp06f333xeR6Ohold0BqH3R0Q+GhXURkfPnz3/88cdaxwEAAADqKbUFfL9+/UaMGCEiaWlpf/3rX5WLzz77rIuLy5EjR1q0aNG+ffsWLVooI/Bjx45V2R0ALegefHCyiE5EPvzww19//VXrPAAAAEB9pLaAF5Evv/zyww8/bN68ufWY93bt2r333nsiUlxcfOzYsRs3bojIqFGjhgwZor47ALUvLKxzhw4DRaSgoOC1117TOg4AAABQH9mhgHd1dX3ttdfOnj2bnp5uvfjaa69t3br1qaee6t279/PPP//dd98tXLhQfV8AtNKv38uurh4ismzZsqSkJK3jAAAAAPWOwY7P5e7uXvHDvn379u3b147PD0BDPj6BvXo99+OPsy0Wy6RJk/bu3evi4qJ1KAAAAKAescMIfEUmk+nUqVObN2/etGnTgQMHKp4kB8DR9ez5fw0bhorI/v3758+fr3UcAAAAoH6xTwFvMpnmzp3bpUsXDw+PiIiIAQMGxMbGxsTE+Pj4DBw4cNOmTXbpBYC2DAb3AQNeVdrTpk27ePGitnkAAACAesUOBXxWVtbdd98dHx9/8OBBk8lU8VMlJSUbNmyIjY0dMWJESUmJ+r4AaCs6uk9U1P0ikpeXN3XqVK3jAAAAAPWI2jXwZWVlsbGxhw4dEhEXF5dhw4b16NEjPDzc1dU1PT197969CQkJJpMpISGhpKRk1apV9sgMQEuxsVNPn95jMpUsXbr02Wefve+++7ROBAAAANQLakfgFyxYoFTvMTExaWlp33777fjx4wcNGjRgwICxY8d+9dVXaWlp3bt3F5HExMTExEQ7RAagqYYNQ++993kRsVgsY8aMYasLAAAAoHaoLeC//fZbEQkKClq9enVkZOStN0RERHz33XdBQUEismjRIpXdAagL7rlnVEBAuIikpaXNmDFD6zgAAABAvaC2gD9+/LiIDB8+vGnTpne6p2nTpk8++aSI7N+/X2V3AOoCFxfXhx+eLqITkXfffTcjI0PrRAAAAIDzU1vAFxUViUhMTEzlt3Xr1k1Erl+/rrI7AHVEixZ3deo0WESKi4vHjBljsVi0TgQAAAA4ObUFfGhoqIhkZmZWftu5c+dEJDAwUGV3AOqOAQNe9fLyF5Ft27YtXbpU6zgAAACAk1NbwA8ePFhEVq9eXV5efqd7zGbzmjVrRITdqgFn4uHh17//FKU9efLky5cva5sHAAAAcG5qC/jXXnutcePGe/bsGT9+vNlsvvUGs9k8ceLEXbt2GQyGCRMmqOwOQJ3SsePg8PAeIpKdnc03OAAAAFCjbCvgy2/RuHHj9evXh4SEzJ07t3Xr1vPnz9+/f392dnZ2dvb+/fsXLFjQpk2b2bNni8ibb76prIQH4EyGDPl/bm6eIpKQkPDdd99pHQcAAABwWgbb7jZUdn96evqLL754p8+uXr16w4YNycnJNvUIoI7z9W3au/fYTZv+KiLjxo3r3bu3r6+v1qEAAAAAJ2RbAa8GZ8gBzup//uepo0c3Xrhw+Pz581OmTFmwYEH1nuf48eN/+ctf7Jvttu65555evXrVQkcAAACAHdlWwM+ZM6eGcgBwXDqd/tFH3/vss6EmU8nChQuHDh3av3//qj/8ypUrSuPgwYMHDx6smYz/xc3N7cKFCwEBAbXQFwAAAGAvthXw8fHxNZQDgEMLCGh5330v/PDDJxaL5YUXXjhy5IjRaKziY7Ozs2s0261KS0svX75MAQ8AAADHUntT6DRv/9wAACAASURBVAE4t3vuefb48S1ZWWlnz5599dVX586da+sz9OrVa/z48TWRzWrGjBn79u2r0S4AAACAGmK3Ar6goODbb7/dtm3b4cOHr127ZjKZGjVq1L59+759+/7xj3/09va2V0cA6ia93vDoo+9+/vnw8vKy+fPnP/roozZNpBeRZs2aDRs2rIbiKRISEijgAQAA4KDUngOv+Oqrr8LCwkaPHr18+fK0tLRLly5lZ2efPHly1apV8fHxzZo1++qrr+zSEYC6LDAwulev50XEYrGMGTMmPz9f60QAAACA87BDAT9z5synn346JydHRIxGY5cuXR577LFhw4Z169bNx8dHRHJycp5++mk2wAPqg/vuGx0U1FpEzpw5M2XKFK3jAAAAAM5DbQF/4sQJ5f/o/v7+H3300cWLFw8cOLBq1aoVK1akpKRkZWXNnDmzUaNGIvLyyy9nZGTYITKAOkyvNzz66HsuLq4ismDBgo0bN2qdCAAAAHASagv42bNnm0wmNze31atXv/zyyzftO+3h4TFhwoQ1a9a4ubmVlZV98sknKrsDUPcFBkbfd98LImKxWEaPHp2bm6t1IgAAAMAZqC3gt23bJiLPPvvsPffcc6d7evToMWrUKBHZunWryu4AOIRevZ4PDm4rIpmZmRMnTtQ6DgAAAOAM1Bbw58+fF5EePXpUfptS3mdmZqrsDoBD0Otd/vCHDw0GdxFZsmTJqlWrtE4EAAAAODy1BbzFYqn6bVW8GYATCAgI7917rNKOj4/Pzs7WNg8AAADg6NQW8CEhISKSnJxc+W3KDWFhYSq7A+BAevQYGRbWRUSysrLi4+O1jgMAAAA4NrUF/IMPPigiixcvrqSG37t376JFi6w3A6gndDr9Y4994ObmKSLLly9fvny51okAAAAAB6a2gB83bpzBYCgpKRkyZMicOXNu3LhR8bM3btz49NNPBw8eXFJS4urqOnbsWJXdAXAsDRuG9us3SWnHx8dnZWVpmwcAAABwXGoL+NatW8+YMUNErl69Om7cuODg4B49eowYMWLEiBE9e/YMDg4eO3bslStXRORvf/tbVFSUHSIDcCjdug1v2fJuEcnOzh49erTWcQAAAABHpbaAF5EJEyZ8+eWXvr6+IpKTk7Nnz56EhISEhITk5OScnBwR8fX1/fLLLydMmKC+LwAOR6fTPfbY+w0a+IjImjVrlixZonUiAAAAwCHZoYAXkaeffvrcuXPz5s2Li4uLiopq1KhRQEBAVFRUXFzc3Llzz5079/TTT9ulIwCOyNu7Sf/+U5T2xIkTOVESAAAAqAaDvZ7Ix8dnzJgxY8aMsdcTAnAmXbo8duLE1pMnf8rNzR01atSmTZt0Op3WoQAAAABHomoE/vLly5999tlnn3128eJFewUC4KwGD/6zh4eviGzZsmXBggVaxwEAAAAcjKoR+EaNGo0dO9ZkMgUEBMTFxdkrE9SzWCwWi6W8vFzrIPZnsVhELFW+E3WI0dj4oYemrVr1mohMmTJlwIABLVq00CpMeXm5U36D2J31+8hsNvMv5nDMZrPw3jkm5b0TEWf9be70nPh/Yk6PX3wOzeF+8VUjp6oC3sXFpW3btocPH87IyFDzPLA7k8lUXl5+/fp1rYPYX3FxsU5XpZkjpaWlNR0GturQ4eHjxzefOLEtPz//ueee27Jli1YT6fPy8pzyG6TmFBQUaB0B1cR759BMJhM/rBwX751Dy8/P1zoCqsmB3ruysjJbH6J2Dfxbb701dOjQ2bNnv/jiiz4+PiqfDfZiMBhcXFyUowGcTIMGDapYwLu6utZ0GFTD4MF/zsz8ubDw2rZt2z777DOtNs7w9vZ2ym8Qu7tx40ZJSYmIeHp68j3lcCwWS15enpeXl8Fgty1vUDvMZrPyH1CDweDl5aV1HNisqKjIbDYbjUatg8BmxcXFyiAQPzwdkfLD04Heu2qMOKp9YXFxcbNnz544ceIf/vCHTz75pG3btiqfEHah0+l0Op1T/m9br9dXsYDX6+1zyALsy9OzYWzs1JUrp4jIq6++Ghsbq0kMg8HglN8gdmf9vcK/mCNSZhK6uLjw3jkc6xR6Z/1t7vT0er3FYuG9c0TKn62FX3yOSZmR7kDvXTXW/Kot4Ddt2hQZGfnGG2+8//77HTp0uOeee8LDw8PCwho0aHDb+9944w2VPQJwdO3bP3T8+Ka0tK35+fmjR48eOXKk1okAAAAAB6C2gL9p9CwpKSkpKamS+yngAYjIoEF/+uWX/UVF17ds2aLhVnYAAACAA1E7x9hgI7uEBuDoPD0bDhjwqtJetmyZtmEAAAAAh6C2oq7GvnkAICIdOw4+enRDevqOoqIirbMAAAAADoBdvgBoZvDgP7u7s0MvAAAAUCUU8AA04+3dpE+f8dYPmdEDAAAAVEJVAW+xWHJycqwnnQCArbp3H+7vH6m0Dx06pG0YAAAAoC6rTgGfmZk5fvz47t27e3t7N2zY0N3d/d577121apXdwwFwejqdvmvX55WfRenp6SkpKVonAgAAAOoomwv4pKSkjh07zp49OzU1tbCwUERMJtPOnTvj4uLGjh1bAwkBODkfnzCRSBGxWCxjxowpLy/XOhEAAABQF9lWwGdnZ8fFxeXk5CgfNm/evHPnzg0aNFA+/PTTT1esWGHngADqhXYiXiJy4MCBefPmaR0GAAAAqItsK+Dnz59/5coVEenWrduJEyfOnj37888/5+bmTps2TafTicjEiRNLS0trJCkAZ+Yi0kVpvfnmm5cvX9Y2DQAAAFAH2VbAJycni4jRaFy9enV0dLRy0c3N7b333hsxYoSIXLx48eTJk3ZPCaAeCPbxiRaRnJyc119/XeswAAAAQJ1jWwGfnp4uIsOGDQsODr7pU+PGjVMax44ds0syAPVNcPBAg8FdRJYsWaL8uRAAAACAlW0F/OnTp0XEOvZeUevWrZWGdYU8ANjEza1hr17PiYjFYpkwYQJHVAIAAAAV2VbAm0wmEfHz87v1U7e9CAA2ueeeZ/38QkQkJSXlyy+/1DoOAAAAUIdU5xx4AKghBoP7gw9OVtrTpk3Lz8/XNg8AAABQd1DAA6hb2rbt36JFdxHJysr68MMPtY4DAAAA1BUU8ADqnAEDXtPp9CLy8ccfZ2Zmah0HAAAAqBMo4AHUOUFBrTt1ekREiouL33jjDa3jAAAAAHWCoRqP2blzp8FwxwdW/tlRo0ZVo0cA9U2fPuOOHdtYVla8bNmyiRMndu3aVetEAAAAgMaqU8B//fXXX3/9dfU+SwEPoCq8vZv07Pl/P/00z2w2T506ddOmTVonAgAAADTGFHoAdVTPns94eTUSkc2bN2/dulXrOAAAAIDGbBuBT0hIqKEcAHATNzfPe+8dvXHjByIyderUvn376nQ6rUMBAAAAmrGtgH/iiSdqKAcA3Kpbt8f37Fmak3MhNTV11apVcXFxWicCAAAANMMUegB1l4uLa+/e45T2n//8Z7PZrG0eAAAAQEMU8ADqtA4dBgYEhIvI0aNHV6xYoXUcAAAAQDMU8ADqNJ1O/8ADLyntt956y2QyaZsHAAAA0AoFPIC6rm3b/oGBUSKSnp7OVpoAAACotyjgAdR1Op3+gQfilfb777/PSngAAADUTxTwABxAdHQfZRA+LS1t5cqVWscBAAAANEABD8AB6HS6e+8drbT/3//7fwzCAwAAoB6igAfgGNq27R8Q0FJEjh07tnbtWq3jAAAAALWNAh6AY9Dp9L16Pa+0//KXv2gbBgAAAKh9FPAAHEaHDgN9fZuKyO7du3fs2KF1HAAAAKBWUcADcBh6vaFHj5FKm0F4AAAA1DcU8AAcSdeucZ6eDUVkw4YNR44c0ToOAAAAUHso4AE4ElfXBnfdNUJELBbLRx99pHUcAAAAoPZQwANwMHfd9b+urh4i8s0335w/f17rOAAAAEAtoYAH4GA8PHw7dRosImVlZXPnztU6DgAAAFBLKOABOJ4ePUbqdHoRmT9/fkFBgdZxAAAAgNpAAQ/A8fj7N4+Kul9Erl+//uWXX2odBwAAAKgNFPAAHJL1PLnZs2dbLBZtwwAAAAC1gAIegENq3rxbYGC0iPzrX//atGmT1nEAAACAGkcBD8BR/c//PKU0Zs2apW0SAAAAoBZQwANwVB06DPT0bCgimzZt+te//qV1HAAAAKBmUcADcFQGg3tMzDARsVgsnCcHAAAAp0cBD8CBde8+XK83iMjixYvz8/O1jgMAAADUIAp4AA7M27tJdPQDIpKfn//NN99oHQcAAACoQRTwABxb9+4jlAbnyQEAAMC5UcADcGwtWtwVEBAuIseOHdu5c6fWcQAAAICaQgEPwLHpdLru3Z9Q2vPmzdM2DAAAAFBzKOABOLxOnR5xdfUQkZUrV16+fFnrOAAAAECNoIAH4PDc3Y3t28eKSGlp6dKlS7WOAwAAANQICngAziAm5nGlMX/+fLPZrG0YAAAAoCZQwANwBiEhHYKC2ojIqVOnfvjhB63jAAAAAPZHAQ/ASXTrNkxpLFy4UNskAAAAQE2ggAfgJDp0GOTm5iUiiYmJV65c0ToOAAAAYGcU8ACchJubZ7t2/UWktLR02bJlWscBAAAA7IwCHoDz6NIlTmksWLBA2yQAAACA3VHAA3AeYWGdGzeOEJG0tLTk5GSt4wAAAAD2RAEPwKl07frbIPwXX3yhbRIAAADAvijgATiVTp0Gu7i4iUhCQkJBQYHWcQAAAAC7oYAH4FQ8PPyiox8QkYKCgpUrV2odBwAAALAbCngAzqZz50eVxuLFi7VNgv/P3p3HR1Wdjx9/Jpnsk30hO1kwyBICGERBllJwQwVEWURFBAuotYLaWrevVfrzSyvurYiKWBYLFZHN+mUpVkTWojGAgEEIISFkmyWTZPb5/XFtSgPGJGRyM5PP++WL151zz73nud7cmXnmnnsOAAAA2hEJPABf06PHNRERiSLy+eefFxUVqR0OAAAA0D5I4AH4Go3GLy/vZhFxu93chAcAAIDPIIEH4IP69x8vohGR5cuXu1wutcMBAAAA2gEJPAAfFBPTPS2tv4iUlJRs375d7XAAAACAdkACD8A3NQ5lt2zZMlUDAQAAANoHCTwA39Snz3UBAcEi8tFHHxkMBrXDAQAAAC4VCTwA3xQUpOvVa7SIWCyWNWvWqB0OAAAAcKlI4AH4rMZe9O+//766kQAAAACXjgQegM/KyBgcFZUiIl9++eWxY8fUDgcAAAC4JCTwAHyWRqPJzR2rLK9YsULdYAAAAIBLRAIPwJf17z9OmRB+2bJlTqdT7XAAAACAtiOBB+DLYmK6p6XliciZM2c+++wztcMBAAAA2o4EHoCPy8sbpywwlB0AAAC8Ggk8AB/Xt+8NWm2QiHz00UcOh0PtcAAAAIA2IoEH4OOCgnQ9e44Ukbq6utLSUrXDAQAAANqIBB6A72vsRX/69Gl1IwEAAADaTKt2AO3m1KlTH3/8cWFhocFgiI2NTU9PnzhxYq9evX5yw9WrV69cufKiq958882UlJT2itBkMq1evXrv3r0mkyk7Ozs3N3fChAkhISGqBAN0KdnZQ3W6OLO5qrKyUu1YAAAAgDbykQT+iy++WLRokTJHVEJCQk1NTXl5+f79+ydPnnzHHXc0v215eXkHRHju3LnHH3+8urpaRCIjIw8fPnz48OFdu3a98MILERERHRwM0NX4+fnn5o7dvZtB7AAAAODFfCGBNxqNr7zyitPpHDZs2MyZM2NiYpxO58aNG997773Vq1f37du3X79+zWyu5MyLFi1KS0trsiooKKi9gnzttdeqq6v79OnzyCOPxMXFlZWV/f73vy8pKVm6dOnDDz/cwcEAXVD//uNJ4AEAAODVfOEZ+K1bt9pstpycnPnz58fExIiIv7//+PHjx40b53a7N23a1PzmSs6clpYWfAGNRtMuER49erSwsFCn0z3xxBNxcXEikpyc/Mwzz/j7++/YseP8Pr0dEAzQNSUkXNatW0+1owAAAADazhcS+KKiIhEZMGCAv7//+eVDhgxpXPtjbDZbTU1NVFRUcHDwTzZkNBrffvvtRx99dNKkSb/4xS9eeeWV4uLilkS4Z88eEcnPzw8PD28s7NatW69evdxut7K2tcEAaK28vFvUDgEAAABoO19I4B0OR1xc3OWXX96kPCAgQESUB+N/zLlz59xud2Ji4k+2cuTIkYceemjjxo0nTpyIioqqqqr6xz/+MW/evJ07d/7ktsrMVQMHDmxSrpSUlZW1NhgAbdCv380azQ9vejabTd1gAAAAgNbyhWfgn3rqqYuW7927V0Sys7Ob2Vbpsh4VFbV27drPPvvs3LlzcXFxmZmZEydOzMrKaqxms9n++Mc/6vX6iRMnTp06NTAw0OFwrF27dtWqVa+88kp2dnZycnIzrdTU1IiI0nn+fEqJXq9vVTBN1NbWut3uJoUul0tELiwHurKwsJiwsGyz+TsR2bFjR15entoReRO3281bitdRThnnzhudf8o4fd6Lc+fVePP0Rl73wdeGOH0hgb+ogoKCtWvXisiECROaqabkzHv27NmzZ49Wq42IiDhz5syZM2e+/PLLGTNm3HLLDx1u169fX11dPXLkyOnTpyslWq128uTJFRUVW7duXbdu3QMPPNBMK8rg8+f3n1fodDr5d3rf8mCaGDdunMlkalKYm5vrcDiUdn1MfX19403U5lmtVk8HA68TGZmnJPAffvjhXXfdpXY43qS2tlbtENBGnDuvZrfbffLTvIvg3Hm1C79gw1t40bmz2+2t3cQHE3ir1bp69eqPPvrI5XJNmzYtNze3mcpKzqzT6R566KH8/HytVltXV/fXv/51/fr1S5cu7d27d48ePUTkwIEDInLjjTc22XzUqFFbt249dOhQ8yEpf0NNpnwXkdDQUBExGAytCgZAm4WH9xQJFLHt3bu3oqIiISFB7YgAAACAlvK1BH7Xrl3vvvtuVVVVcHDwzJkzr7vuuubrjx49+oorrkhPT2/s3x4WFjZz5ky9Xv/555+vWbPmiSeekH8/pr5ly5YdO3acv3lDQ4O04OdVnU5nMBiUyuerr69XWmxVME3k5OTU1dU1KQwMDLTZbFqtr51fEfHz82vhHXjG7ceFNBp/kTSRE06nc/369XPnzlU7os7O5XIpj+T4+/tzTXkjh8PBufNGbrdbGcRHo9E0GaMXXkE5fZw7b8QHn1dT3jy96Nwpf2yt4jsJnslkevPNN3ft2iUi11xzzT333NOSe2uZmZmZmZkXll933XWff/75999/LyIOh8NoNIrItm3bLroTq9Xqdrs1Gs2dd955foeNYcOGPfbYYyISExNjMBjMZnOTDZUSZeq7FgZzocWLF19Y+Lvf/U4ZbO+im3i14ODgFibwgYGBng4G3qm7yAkR+eCDD37729+qHUxnV1dXp/z4GBYWxjXldVwuV01NDefOGynnTkS0Wm1kZKTa4aDVamtrnU6nT34T83lms9lisYiITqdThsSGF3E6nXq93ovOXRuGVfaRBL6iouI3v/lNdXV1YmLi/PnzLxyRvrW6desmIjU1NW63W6vVhoeHm83mtWvXNn9Pe8CAAcpNdUXj+HnK23fjs+6NlOHrGhP4lgTjLT8mAZ1YrEi4SG1hYWFBQQFD2QEAAMBb+EICX19f/z//8z/V1dVXXnnlvHnzGnukt2TD7du3+/n5jR07tsmqqqoqEUlPT1cS5qSkpOPHj5eWlnbv3v38anV1dSdPntTpdBkZGSLyyCOPXLSh7OzsgwcPFhQUDBs27PzygoICEVHuurc8GACXLEOkUESWLVv28ssvqx0MAAAA0CK+MA/8tm3bSktL8/Pzn3zyyZZn7yISEhKyZs2at9566+DBg01WKc+69+zZU3nZr18/Efn444+bVFu1atUTTzyxe/fu5hsaPXq0RqPZv3//+eOim0ymQ4cOBQYGjhgxolXBALhkP/wctnLlSiaEBwAAgLfwhQR+y5YtIjJ+/Hi32+26mMaamzdv3rhxY1FRkfJSo9Eot7tffvll5Wa4iFit1pUrV27ZsiU8PHzq1KlK4cSJE8PDw7dv375kyRLlwXWXy7V58+ZNmzYFBQWNGjWq+QiTkpJyc3P1ev1rr72mDGpitVpfeOEFm802fPhw5UeHlgcD4JKFpqZeISKVlZWffPKJ2sEAAAAALeL1XeidTueZM2dE5KmnnrpohaSkpLfeektZfu+992w22/Tp0xvnY7v99ttPnjy5e/fup59+Ojw8PCQkpLKy0u12h4eHz58/v3HokbCwsHnz5i1atGjTpk2bN29OTk42Go1ms9nPz+/hhx9WnlFv3gMPPPDrX/96586d//rXv9LT07///nubzZacnDxjxozGOi0MBkCbNU4GUVWlUxbuvPPOllzCbRMVFbV48eJBgwZ5aP8AAADoUrw+ga+srGzD4PuN/P39f/vb3+7cuXPbtm1FRUUmk+myyy7LycmZPHlyk0Ff8/PzX3311TVr1hQVFZWWlsbGxl5xxRWTJk1KS0trSUNJSUmvvvrqqlWrDhw4UFRUFBMTM2TIkClTpihTwbc2GABt0ziWZENDjEiAiL2uru7HpnhoFy+//PKqVas8t38AAAB0HV6fwCcmJm7YsKGFlT/88MOLlg8bNqzJ8HIXlZCQ8OCDD7YiuP8WExPTks1bGAyANnC73f9eVCaE92Dqrjh/5AsAAADgUvjCM/AA0Fr333//rFkLlOU+ffq429vhw4fVPUAAAAD4HhJ4AF1USkq/+PhsETl8+PDevXvVDgcAAAD4CSTwALquAQMmKAtLly5VNxIAAADgJ5HAA+i68vLG+fsHiMhf//rX+vp6tcMBAAAAmkMCD6DrCg2NzskZISImk+lvf/ub2uEAAAAAzSGBB9ClDRhwq7LwzjvvqBsJAAAA0DwSeABdWo8e10RGJonIF198ceTIEbXDAQAAAH4UCTyALk2j8cvLG6csv/vuu+oGAwAAADSDBB5AV3fFFbdpNH4i8v7771utVrXDAQAAAC6OBB5AVxcRkZidPUREqqur161bp3Y4AAAAwMWRwAOADBx4m7KwZMkSdSMBAAAAfgwJPABIz54/Cw9PEJEdO3YwlB0AAAA6JxJ4ABA/P//G+eTefvttdYMBAAAALooEHgBEzhvKbtmyZfX19WqHAwAAADRFAg8AIiIREYk5OSNExGAwrF69Wu1wAAAAgKZI4AHgB/n5k5SFP//5z+pGAgAAAFyIBB4AfpCdfU1sbIaIHDhwYM+ePWqHAwAAAPwXEngA+IFGo2m8Cf/GG2+oGwwAAADQBAk8APxH//4TAgJCRGTNmjVlZWVqhwMAAAD8Bwk8APxHcHB4v343i4jdbmc+OQAAAHQqJPAA8F+uvHKqiEZE3nzzTavVqnY4AAAAwA9I4AHgvyQkXJaVdZWInDt3buXKlWqHAwAAAPyABB4Amrr66ruVhZdfftntdqsbDAAAAKAggQeAprKzr4mPzxaRQ4cObdu2Te1wAAAAABESeAC4kEajGTz4TmX5xRdfVDcYAAAAQEECDwAXkZd3S1hYrIhs2bLlX//6l9rhAAAAACTwAHAxWm3QVVf9cBN+4cKF6gYDAAAACAk8APyYQYOmBgeHi8jatWuPHz+udjgAAADo6kjgAeDigoJ0+fmTRcTlcr3wwgtqhwMAAICujgQeAH7UVVfdpdUGiciKFSuKiorUDgcAAABdGgk8APyosLBY5Sa8w+FYsGCB2uEAAACgSyOBB4DmXHPNzICAYBFZsWLFsWPH1A4HAAAAXRcJPAA0JywsNj9/iog4nc7nnntO7XAAAADQdZHAA8BPGDr03oCAEBH561//+tVXX6kdDgAAALooEngA+AlhYTFXXz1dRFwu1+OPP652OAAAAOiiSOAB4KcNGXJPaGi0iGzZsmXbtm1qhwMAAICuiAQeAH5aUJBu+PA5yvKjjz7qdDrVjQcAAABdEAk8ALRIfv6k2NgMESkoKHj77bfVDgcAAABdDgk8ALSIv3/Atdc+qiw/+eST1dXV6sYDAACAroYEHgBaKidnZHb2UBGpqal59tln1Q4HAAAAXQsJPAC0wvXX/8bPTysif/7zn/fu3at2OAAAAOhCSOABoBXi4rKGDLlHRFwu13333We329WOCAAAAF0FCTwAtM6IEXNjYtJFpLCwcNGiRWqHAwAAgK6CBB4AWkerDRo79mll+dlnn/3mm2/UjQcAAABdBAk8ALRaVtbVAwbcKiJWq/Xuu++22WxqRwQAAADfRwIPAG1x/fW/iYpKEZGCgoKnnnpK7XAAAADg+0jgAaAtAgPDxo//vUbjJyIvvvjipk2b1I4IAAAAPo4EHgDaqHv3/GHD7hMRt9s9ffr0U6dOqR0RAAAAfBkJPAC03ciRD2RkXCkiNTU1EyZMqK2tVTsiAAAA+CwSeABoO43Gb+LEP+h08SLy9ddfT5kyxel0qh0UAAAAfBMJPABcEp0uburUNwICgkXkk08+mTt3rtvtVjsoAAAA+CASeAC4VMnJfW69daEyoN3bb789b948tSMCAACAD9KqHQAA+ILLL//5DTf89pNPfi8ir776qslkUjsiAAAA+BruwANA+xg0aOro0fOV5ffee0/dYAAAAOB7SOABoN0MHXrvqFG/Or/E4XCoFQwAAAB8DAk8ALSnYcPuu/HGJzUajfLys88+O3HihLohAQAAwDeQwANAOxs0aOq11/6PiL+ImEymgQMHrlq1Su2gAAAA4PVI4AGg/WVnjxD5mUiIiJhMpmnTpk2dOrWiokLtuAAAAODFSOABwEOiRcbodJcpL/7617/26tVr8eLFPBUPAACAtiGBBwDPCUpLm3r99b8NCAgRkZqamrlz5/br1+9vf/uby+VSOzYAAAB4GRJ4APCswYOn3X//xz16XKO8/PbbbydND8GUBwAAIABJREFUmtSnT58lS5bU1dWpGxsAAAC8CAk8AHhcVFTKtGmL77jjz/HxPZSSo0ePzp49OzU19aGHHvr666/VDQ8AAABegQQeADrIZZcNnzv3o9tue7Fbt55KicFgeP311wcMGJCbm/v73//++PHj6kYIAACAzowEHgA6jkbj16fP9bNnf3jXXW/37DlKo/nhTfjQoUNPPfVUz549c3Nzn3766f3797vdbnVDBQAAQGejVTsAAOhyNBpNVtbVWVlX19ZWFBRs+OabjZWVJ5RVhw4dOnTo0IIFC5KSksaOHXvTTTeNGTMmNDRU3YABAADQGZDAA4BqwsMTrrlm1jXXzDp37vjhw3//9tttVVUnlVVnz55955133nnnnZCQkNGjR48fP/6WW26Ji4tTN2AAAACoiAQeANTXrVtOt245o0b9qrr61LFjO44d+6yk5Cu32yUiDQ0NGzdu3Lhxo1arHTly5KRJk2677bbo6Gi1QwYAAEBH4xl4AOhEYmMzhgyZMWPG+4899vmECf/bp891QUE6ZZXD4di2bdsvfvGLxMTEW2+9dcOGDQ6HQ91oAQAA0JG4Aw8AnVFISFS/fjf163eT02k/eXLvt99uO3p0e329XkRsNtu6devWrVuXnJw8c+bM2bNnp6SkqB0vAAAAPI478ADQqfn7B/Tocc3NNz/76KP/vPPOJf37j2+8J19WVvb8889nZmbeeeedTCYPAADg87gDDwAeVFRU9Nprr7XrLhNCQiZptSet1mMOR5mI2O32lStXrly5cuzYsU899dRVV13Vrs0BAACgsyCBB4D2ZzKZlAW73a7X6z3QQpxInEityHcixSIOEdm8efPmzZvHjh27YMGC/v37e6BRAAAAqIku9ADQ/pxOZ4e0Ey4yUGSsSB+RIKVo8+bNV1xxxd1333369OkOiQEAAAAdhDvwAOBBvXr1mjRpkkeb+OijjwoLA0VyrrwytrDww4YGg8vlWr58+YcffvjYY4/95je/CQ0N9WgAAAAA6BjcgQcA36Dt33/yr3716fDhcwICQkSkoaHhueee69279/r169WODQAAAO2ABB4AfEdQkO5nP3vwl7/c3L//eBGNiBQXF48fP378+PGlpaVqRwcAAIBLQgIPAL4mPDxh3LgFs2atSk7uo5SsX7++T58+b731ltvtVjc2AAAAtBkJPAD4ppSU3FmzPrjxxieVeeONRuOcOXOuvfba4uJitUMDAABAW5DAA4DP0mj8Bg2a+sADG3r2HKWUbNu2rV+/fkuXLlU3MAAAALQBCTwA+Ljw8IQpU16bOPGPISFRImIymWbOnDlu3LiKigq1QwMAAEArMI2cb3I6nS6Xq66uTu1A2p/dbtdoWvTDk8Ph8HQwQKficDjsdvuPre3Zc3Rq6oC//33B8eOficiGDRv27Nnzpz/96YYbbmhmn407tFgszewcnZMy5AHnzhs1DlfhdDp98tPc5zkcDrfbzbnzRo1fIC0Wi81mUzcYtFbjB5+3nLs2xEkC75vcbrfb7faWP9xWcTqdGk2LRuFyuVyeDgboVJxOp9PpbKZCcHDUhAkvFhZu2L59kdVaV1FRMWnSpBkzZixYsCA4OPiimzReRw6Ho/mdo9Pi3HmjxgTeVz/NfZ7L5eLceanGDz673a7RaNQNBm3jReeuDb+wk8D7Jq1W6+/vHx0drXYg7S84OLiFd+ADAwM9HQzQGTS+9e/cufPH8vD/pklPn1Vauq6+/rTb7V66dOmHH344ePDgqKioC6s25n4BAQF+fn4iEhYW9vTTT2dlZbXjIcBDXC5XTU2NTqfj/dDrKOdORLRabWRkpNrhoNVqa2udTudF31fRyZnNZovFIiLh4eEBAQFqh4PWcTqder3ei84dd+ABoMtpfJT9+++/b812V4pEiBwWcZtMpq1bt7Z8S5vNtnLlyta0BQAAgHbAIHYA4N3a+rSIRqSXyCgRXWu3NBgMbWoRAAAAl4Q78ADgI2699da4uLjWbmW31+/a9afjx7coL2NiYp566qnhw4dfWLO0tHTcuHGXGiUAAADaigQeAHxEXFxcUlJSGzZMT3/p8OFPN236ncVSW1NT88gjj8yZM+fFF18MDQ09v5pPDqsBAADgRehCDwCQPn2unzNnbXr6FSLidrvffPPNAQMG7Nu3T+24AAAA8B8k8AAAEZHIyOR77nlv1KiH/Py0InL8+PGhQ4c+88wzTCEOAADQSZDAAwB+oNH4DRv2i5kzV8bFZYqIw+F4/vnnBw0adPDgQbVDAwAAAAk8AOC/JSf3mT37w8GD79Ro/ESkoKBg8ODBTzzxhNVqVTs0AACALo0EHgDQlFYbdP31j99997tRUSki4nA4XnjhhRtvvFHtuAAAALo0EngAwMVlZAy6//71Q4fOVG7Fnzp1SilvaGhQMywAAICuigQeAPCjAgKCR4+ed++9yxMSLmss/Pzzz59//vn6+noVAwMAAOiCSOABAD8hNTVv9uy/DR06V0QrIk6n85lnnsnJyVm8eDFj1AMAAHQYEngAwE/z89NeccUdIteLpCslpaWlc+fO7dmz51tvvcX4dgAAAB2ABB4A0HIhIoPT0u5JT79CeX3y5Mk5c+ZkZWX9v//3/6qqqtQNDgAAwLeRwAMAWic4OHnGjPfvvPOtlJRcpaSsrOzJJ59MS0u76667Pv/8c7fbrW6EAAAAPokEHgDQFtnZQ2fN+uDOO5dkZFyplFgslhUrVowYMSIzM/Pxxx/fv38/mTwAAEA7IoEHALRddvaQ6dOXzp79Yf/+EwICgpXC4uLihQsXXnnllampqffcc8/y5cuLi4vVjRMAAMAHaNUOAADg9RITLx837vnrrvv1oUOfFBRsOHOmQCkvKyt7//3333//fRFJSUnJz88fOHBg3759c3NzMzMztVo+gwAAAFqBL08AgPYRHByenz85P3+yXn/m22+3Hj26/cyZb9xul7K2tLS0tLR0/fr1ysuAgICsrKzMzMyMjIyUlJT09PTExMTk5OSEhISEhATVjgEAAKATI4EHALSz6OjUIUNmDBkyw2KpPXVqX3HxgdOnD5aXH3O5HI117Hb7sWPHjh07duHmAQEBCQkJKSkpiYmJyr9paWlpaWndu3fv3r17YGBgBx4KAABAJ0ICDwDwlODg8Msv//nll/9cRBwO67lzx8vLj1ZUFFVVfV9dXWw0nhW5yCh3drtduV1/4Sp/f//09PSePXv27t07Nze3X79+ubm5AQEBHj8SAACAToAEHgDQEbTaoJSU3MaZ50TE6bQZDGVG41mT6ZzJVG42V5tM5+rqqmtrK+vqqh0O64U7cTqdJ0+ePHny5KeffqqUBAYG9u/f/+qrr77mmmtGjBgRHx/fQccDAADQ4UjgAQDq8PcPjI3NiI3NuOhai6W2traitraitrbSaDxrMpUbDKU1NSVGY5nL5WysZrPZ9u3bt2/fvldffVWj0eTl5V1//fVjx44dMmSInx8zrQAAAJ9CAg8A6IyCg8ODg8Pj47OblDud9pqa05WVRefOHT979tuyssN1ddXKKrfb/fXXX3/99df/+7//m5iYOGHChClTpgwbNkyj0XR4+AAAAO2PBB4A4E38/QPi47Pj47N7975OKTEYSktKviou/tf33+/R60uUwvLy8jfffPPNN9/s3r37jBkzZsyYkZ6erl7UAAAA7YAEHgDg3aKiUqKiUnJzbxKRmpri48c/P3bsH8XF/1JmsCsuLn722Wefe+65sWPHPvjgg2PGjOGGPAAA8FI8HwgA8B0xMd2vuuqu6dPfe+SRz2644bcpKf2UcpfLtXHjxuuuu65v377vvvuu1XqREfIAAAA6ORJ4AIAPCguLufLKabNmrbr//vVXXXV3SEikUn7kyJFZs2ZlZ2e/8sor9fX16gYJAADQKiTwAABfFh+ffd11v54//x+33PJcQsJlSmFpaem8efOys7Nfe+017sYDAABvQQIPAPB9Wm3QgAG3zpnz0bRpi7t3z1cKy8vLf/WrX/Xs2fP99993uVzqRggAAPCTSOABAF2FRqPp0eOae+5ZNmPGXzIzByuFxcXF99xzz8CBA7dt26ZueAAAAM0jgQcAdDnp6QPvvvvd6dOXpqbmKSUFBQVjxoy56aabjh07pm5sAAAAP4YEHgDQRWVkXHnvvSsmTXolNjZDKdm8eXNubu6jjz5qMplUDQ0AAOAiSOABAF2XRqPp1Wv0/fd/fP31v1VGqrfb7YsWLerZs+df/vIXt9utdoAAAAD/QQIPAOjq/Py0gwdP++UvNw8aNNXPz19EysvLp0+fPmzYsK+//lrt6AAAAH5AAg8AgIhISEjUjTc+OXv2hxkZVyolu3btys/Pf+ihh4xGo7qxAQAACAk8AADnS0i4bPr0pVOnvhEZmSQiTqfz9ddfz87OXrJkCT3qAQCAukjgAQBoKidn5P33rx8y5B4/P62IVFdXz549e8SIEQUFBWqHBgAAui4SeAAALiIwMHTMmEfnzPkwI2OQUrJz5878/Pxf/vKXer1e3dgAAEDXRAIPAMCPio/vcffdS2+9dWF4eIKIOByON954IycnZ/HixU6nU+3oAABA10ICDwBAczQaTW7u2Acf3NjYo76qqmru3LkDBgzYsmWL2tEBAIAuRKt2AAAAL+N0Oi0WSwc0FBQUpNFoOqChlggMDBsz5tGBA2/79NP/LSr6QkQKCwuvu+66a6+99g9/+ENeXp7aAQIAAN9HAg8AaJHGMdi///77hQsXdkCL8fHx9913X0BAQAe01UKxsRnTpi3+7rvPt2z5Y1XVSRHZsmXLtm3bJk+e/Oyzz+bk5KgdIAAA8GV0oQcAtIjZbO7gFisrKysqKjq40Za47LLhc+euu+GGJ0JDo0XE5XJ98MEHvXv3vvPOO48cOaJ2dAAAwGdxBx4A0CKNd+BDQ0MTExM92lZlZWVtba2IuFwujzbUZn5+2iuvvCMv75bdu9/fvfsvNlud0+lcuXLlBx98cNNNN82fP3/EiBFqxwgAAHwNCTwAoHVSUlLuuOMOjzaxYcOGr776yqNNtIugIN3IkQ9ceeUdu3a9u3//aru9weVybdiwYcOGDXl5effff/+UKVMiIiLUDhMAAPgIutADAHBJQkOjx4x59OGHtwwb9ouQkEilsKCgYPbs2cnJyXffffenn37qcDjUDRIAAPgAEngAANpBaGj0qFEPPfzw1htvfDIuLlMprKurW758+Q033JCYmDhjxoy1a9caDAZ14wQAAN6LLvQAALSbwMDQQYOm5udPOXVq31dfffTtt9scDquIVFdXL1u2bNmyZVqt9oorrhg6dOjVV1+dn5+fkZGhdsgAAMBrkMADANDONBpNZubgzMzBVqv522+3Hjr095Mn97lcDhFxOBx79+7du3evUjMqKqpv3749e/a87LLLMjMzu3fvnpaWlpCQoNXyAQ0AAJri+wEAAJ4SFKTr339C//4TLJbaoqKdRUVfnDix22yubKxgMBi++OKLL7744vytNBpNXFxcXFxcTExMdHR0REREZGRkRESEsqy8jIyMVNbGxsYGBQV1+JEBAAAVkMADADqduro6ZWHFihV+fh4frkWr1Y4dO/byyy/3XBPBweF9+97Yt++NIlJTc7qk5OuyskNlZYcrK09YreYmld1ud2VlZWVl5cX2dBERERHJycmJiYmpqandu3fv3r17jx49evbs6enZ/gAAQAcjgQcAdDrV1dXKgs1m65gWDxw44NEE/nwxMekxMel5ebcoL43Gsurq4pqaEoOh1GQqN5nO1dVVm83VFouphTs0mUwmk+no0aNNyqOionJycgYOHDho0KDBgwf36tWrA34NAQAAnkMCDwDovMLDwz36NLjL5TIajcqC51ppXmRkcmRkclbW1U3KXS6nxWJqaDBarWaLpdZiqbVa66xWs/LSaq21WGobGox1dfr6+pq6Or2Iu8keDAbDvn379u3bt3jxYhGJiooaNmzYyJEjx4wZk5ub20GHBwAA2g8JPACg87r99tvT0tI8t//a2tqXXnrJc/u/FH5+/qGh0aGh0S2p7HI56upqDIZSo/GsXn+mpuZ0VdXJJv3zDQbDxo0bN27cKCIpKSljx4695ZZbRo8ezSP0AAB4CxJ4AAC8np+fNjw8ITw8IS1tQGOh2+0uLz+h158sLz9SUlJQWvqN3W5RVpWWli5ZsmTJkiWRkZE333zz1KlTr732Woa+BwCgk+OjGgAAnxUZmZyQkNm79xgRcbkcpaWFJ07sPnFiV2lpodvtEhGj0bhixYoVK1YkJCTccccd99xzT15entpRAwCAi2MwGwAAugQ/P21a2oCRI++fOXPlo4/+c9y4BTk5I7XaH/rPV1RUvPLKK/379x88ePB7771nsVjUjRYAAFyIBB4AgC4nNDS6f//xU6e+8eij/xw//vdZWVdrND98Jdi3b9+9996bmpr6+OOPl5SUqBsnAAA4Hwk8AABdV1CQLi9v3F13vf3ww1tGjXooKipFKa+url64cGFWVtaUKVMOHDigbpAAAEDBM/AAAPwwqFsHNJSUlHTTTTdpNJoOaKtVIiIShw37xTXXzDpxYte+fR8UFX3hdrscDsfq1atXr149cuTIxx577IYbbuiEkQMA0HWQwAMAuq7GJ71tNtvZs2c7oMWzZ8/279/fo3PjXQqNxq9Hj2E9egyrqTm9b9/Kr7762GarE5HPPvvss88+y8vLe/zxx2+//XZ/f3+1IwUAoCuiCz0AoOtyOp0d36jD4ej4RlsrJib9+ut/O3/+9tGj54eHJyiFBQUFU6dOvfzyy999912bzaZuhAAAdEHcgQcAQDIzM++++26PNvHJJ5/s37/fo020u6Ag3dCh91511V3ffLNx166l1dWnRKSoqGjWrFm/+93vHnvssVmzZoWEhKgdJgAAXQV34AEAQHP8/QMGDLj1gQc23H77S0lJvZXCkpKShx56KCsr68UXXzSbzepGCABAF0ECDwAAfppG49e797W/+MWaadPeTEsboBSWl5c/9thj3bt3f/bZZ2tqatSNEAAAn0cCDwAAWqFHj2H33rt8+vSlmZlXKSU1NTW/+93vunfv/sgjj5SWlqobHgAAPowEHgAAtFpGxpV33/3OzJkrc3JGimhExGw2v/TSS1lZWTNnzjxy5IjaAQIA4INI4AEAQBulpuZNnfrGnDlr+/a9QaPxExGbzbZ06dK+ffvedNNN27dvVztAAAB8CqPQAwDQEex2u7KwdevWDhi5PSQk5JprromIiPB0QyLSrVvOxIl/HDXqoS+/fO/rr9c7HFa327158+bNmzfn5uY++OCD06ZNCwsL64BIAADwbSTwAAB0hHPnzikLZ8+e7ZgWLRbLrbfe2jFtiUh0dNrYsc+MHPngvn0r9+9f3dBgEJHCwsLZs2f/+te/vuuuu2bNmpWXl9dh8QAA4HvoQg8AQEdwOp0d3KLNZuvgFkUkLCzmZz/75bx528aOfSYuLkspNBqNb7zxRv/+/QcNGvSnP/2purq64wMDAMAHcAceAIAOdeutt6ampnpu/xaLZcmSJSJSVVW1YcMGPz8/jUbjueZEJCUlZciQIeeXBAQE5+dPuuKK20+e3HPgwOpjx3a4XE4ROXDgwIEDB+bPnz9mzJhJkybdcsstUVFRHo0NAABfQgIPAECH0ul00dHRntu/2WxWFhoaGo4dO+a5hhodOXIkPT39wl8lNBpNVtbVWVlX19ZWfPXVuq+/XqfXnxERm82mPCEfEBAwcuTIm2+++YYbbujRo0cHhNpyNputpqbGZDLV1tYaDAaHw2EymZrUCQwMDAsLCwoKCg0NjYqKio6OjoyM9Pf3VyVgAEBXQAIPAIBPaRwtryM1NDQ0szY8PGH48NnDh88uLj7wzTcbjxzZarGYRMRut2/dunXr1q0ikpGRMXLkyOHDh1999dU9e/b0dK8BEdHr9aWlpadPny4rKystLT179mxZWVllZeW5c+cqKysbfwdprdjY2Pj4+Pj4+OTk5KSkpLS0tJSUlNTU1IyMjKSkJD8/nl4EALQdCTwAAL6pW7du48aN82gTu3fvLiwsbHn97t3zu3fPv/HGp06c+PLbb7ceO/aZMtadiJw6dWrZsmXLli0TkYiIiAEDBuTm5vbt2zcnJ6dHjx4pKSltSH1dLldlZWVFRUVJScnZs2dLSkpKSkrOnDlz5syZ4uLiurq61u6wJaqrq6urq48ePXrhqsDAwPT09IyMjKysrMzMzKysrOzs7KysLI/2yAAA+BISeAAAfFNgYGBSUpJHm9DpdG3Yyt8/ICdnRE7OCLfbdfr0we++23nixJfnzh1zu11KBZPJ9M9//vOf//xn4yYBAQGJiYnJyclxcXHh4eERERGhoaFBQUGNFex2u9lsrq+vN5lMRqOxurq6qqqqsrKyDWMH+vlpQ0OjQ0OjQkIig4J0QUFhgYGhgYGhfn5aEdFo/IKDdVar2eVyiYjd3uB02hsaTDZbvdVa29BgrK831NfrL7pnm81WVFRUVFTUpDw6OlrJ5zMzMzMzMzMyMtLS0iIjIztgukEAgHchgQcAAOrQaPyUe/KjR89raDCePn2wpOTrM2cKysuPWq3/1YPdbrcr98/bq2mdLi4ioltERGJERGJEREJ4eLfw8HidLk6niw0JudRx9VwuZ11dtdlcVVtbYTSW19aeMxrPGgxnjcYyk+lc4+8UjfR6vV6vP3jwYJPymJiY1NTU7t27p6WlJSUlpaamJiQkJCYmduvWLT4+PjAw8BLjBAB4HRJ4AACgvpCQyJ49f9az589ExO126/UlFRXfVVV9X119uqbmtMlUbjKdc7kcLd+hv3+QVqsLCNAFBIQHBEQo/wUGRgUGRgYGRmo0P3wFcjpFrxe9XkQqRSpFxOVyVVRUaLXauLi49jgynYguICA7Pl7i48XtdtpsBqtVb7PVWK3VVmuNzaZ3OIxWa+2FW9bU1NTU1HzzzTcX3W9ERERCQkJsbGx0dHR0dHRUVFRERER0dHR4eHhYWFhoaGh0dHRwcHBISEhERIS/v390dLRGo2HYfwDwaiTwAACgc9FoNDEx6TEx6SI/V0rcbvfChQut1loRm4hdxC7iFmkcrk8johXRiASIaEW0IkFOp5/TKVbr+Tt2i+hFLt6//ULFxcXtdkgX4S+SIJIgIhkZGZMnT9DrzxgMpXp9qcFQajSW1dScMZnKbbYffVDfZDKZTKYLO+S3hPLUvU6nCwgIUB5GUMbSDwgI0Ol0yuj6SnlkZGRwcHBYWFhUVFRYWJhOpwsPD4+KilJG3e+AsQYBAOfz1gTeZDKtXr167969JpMpOzs7Nzd3woQJLXxU7FK27YCY1QoPAIBOy+FwWK1WkUARH+w3XldXFxwckZTUOympt1LidruVgf0dDovVqjeZzpnNlbW1FWZzldlcZTZX19fr6+v19fWGCzvkt4Rer2/891JERkYq9/9jYmLi4uJiY2Mb/01ISEhISIiLi4uPjw8ICLjEhgAACq9M4M+dO/f4449XV1eLSGRk5OHDhw8fPrxr164XXnghIiLCc9t2QMxqhdeRysvL33rrreYnHLpQZWWlsrB9+3aRFv3ebzQaWx0cAKBzi4mJGTt2rEeb+PTTT5UPnREjRqSnp3u0reXLlzdfISgoLCIiJj4++8cqWCy1DQ1Gi8VksZgsllqr1Wy11tvtDRZLrd1ucTisFkut02m32xscDpvyr8NhcTodNlu9iNtiuUjX/ZYzGo1Go/HUqVPNV4uOju7WrVtcXFxcXJzyAL+yHBsbq2T7MTExkZGRlxIJAHQRXpnAv/baa9XV1X369HnkkUfi4uLKysp+//vfl5SULF269OGHH/bcth0Qs1rhdaQHH3xw7dq1bd58165dLUzgAQC+JygoKCsry6NNBAcHKwvdunXzaFtut/vSdxIcHB4cHH6JO7FazW63y2qtc7mcNlu9y+WwWs1Op8NqrXU4bHa7xWIx2e0Wm63eZqtvaDBZrbUWi9lqrbVYahsaTE6nrfn9K6P0NV9HeT4/Ojo6MjIyIiJCp9M19tsPCgqKioo6v3u/suzn56ek/ZGRkX5+fsqj/lFRUXTsB+DDvC+BP3r0aGFhoU6ne+KJJ8LDw0UkOTn5mWeemTNnzo4dO6ZNmxYfH++JbTsgZrXC62Bnz55VOwQAAPAfQUE6EQkObmNfP7u9oXH+vH//Z6yvr2ns6l9XV/NjU+s1crvdLcnzW0Kr1YaHh4eGhoaGhkZERERERERGRjY+tx8TExMdHa108o+Pj4+Pjz9/PkIA6OS8L4Hfs2ePiOTn5ysprqJbt269evU6dOjQnj17br755nbZ1mg0rlmz5tixY6dPn46Kiurdu/eECRO6d+/uuZgv5dC80dKlS1s+gfD8+fPPnDkjIrfddnsLf1k/duzYj43cCwBoF433kI8cOVJRUeG5htownbsXqa+v37Vr1/klbrfbbreLiJ+fn1bbbt/WYmNjL7/88vbaW6OAgJCAgJCIiMRm6rjdLiWNr6831NU1PsNvbGgwNDQYGxqMDQ3KUwAml+tSz7XD4WjVbwHR0dFJSUndunVLSUlR/k1MTExNTU1OTk5JSWnskQGvUFJSsnr16kt5x7DZbMrVFxwc7O/v30zNwsJCu90+YMCADuj0odFoxo0b17NnT083dOkaGhosFkttba3D4TAajS6XS1kWEbPZrPy/bVL/wtG+wsLClJkyw8PDtVqtMspm48iafn5+HXMsnZP3JfClpaUiMnDgwCblAwcOPHToUFlZWbtse+TIkYULF+r1en9///j4+Kqqqn/84x+ff/75vHnzhg0bdtGdr1mzJiUlZejQoW1u91IOzRuNGzcuJiamhZWfffZZZaF3714aTYsuWqPRSAIPAB7V2Knq66+/VjcSr1ZXV7dt27aOaWvGjBnNcolkAAAfzElEQVSefrD/ojQaP50uTqf76Zn57PYGq7XOZqu3Ws02W73dbrHZ6ux2i8Nh+3f3/jqXy2m3NziddqWHv8vlsNnqnU67zVavPORvtdY5nXar1dyS2JRs/8iRIxddGxMTk5ycnJqampiYmJaWlpCQoPyr5PxdfJhhu91uNputVmt9fb3NZqurqxORxmzN7XYbDIYmm5yffSlPPSgPRCj/KhMfXkpIU6ZM+fLLLy9lD621Zs2ajmnozTffPHnyZMe0pbBYLHq93mAwGI1Gw78py0ajUZkIw2w2m0wmo9FYX19fX19/4Rlvd1qtdv78+QsXLvR0Q52W9yXwNTU1InLh1KxKSfO/trZwW5vN9sc//lGv10+cOHHq1KmBgYEOh2Pt2rWrVq165ZVXsrOzk5OTL9z5mjVrBg0adNEEvoXtXsqhAQDQ8Wy2n3j4Gc1ol2fgW6vzj/Cq3M9vr71ZrWartc5qNVutZovFpNzqb2gwKB3+zeaqurqa5nv419TU1NTUHDp06KJrdTpdUlLS+cPyKWPyBQUFhYeHp6SkREZGhoeHh4WFdcLRiJWUu66uzmq1GgyGhoaGhoYGg8FQX19fV1dXW1trMpmUCkaj0Ww2K8smk6mhoUFZ8FDXmIiIiJCQEOV/mrIQHR2tTG0YHh4eGRmpLEdGRio5f0RERONYCadPn/ZESJ1BSUlJm7fV6/UWi+X886tk3bW1tcqJVgak1Ov1yoLJZDIYDBaLpR3jby8Oh+Ott94igfcmygjt53cyVyidsZUc+BK3Xb9+fXV19ciRI6dPn66UaLXayZMnV1RUbN26dd26dQ888IAnYm7boX3wwQcXfn9S+qu0dqT3juFy/TDhzauvvhoaGtrCraqqqpSFVav+p4WD2BkMepEqETl+/Kxev6f1kbaCzXZCxCUi69a94O/vwcvKaDSKVIjIiRNlK1ce8FxDImK1fi/iFJH16//g0RmAamtrRcpF5NSp0pUrPXsTr6HhpIhDRDZtWqR0zfKQujqzyFkRKSk5s3Llxb/2tRez+ZQyG/bf//5yUJAHu3o2NDSInBGR0tLTK1ce9VxDImIyFYvYRGTLlteCgz14g8tqtYqcFpHy8uKVK9syn3bLGQw/HNT27X8KCWnpu18b2O02kWIRqaw8tXLlKc81JCI1NadFrCISGhrq0Xc/t9ttNteKSE3NyZUrz3iuIRGprCwRsYjIzp1vHzzY0ke92sQtUiQifn5+YWEebUhsNqvVahWRL754t6DAs23Z7Y76+nqdLqz57sftwmw2+/n5tfzrxH8L8vdPiYhIiYgQl8tpt9darQabzaT863I5WhjAd999991337WovaAgf3//oKAgrVYbEBDg5+enPH4fEBDQ+KBEcHCwcg8zKipKKTl/7fmcTueF3wBtNlvjFy2r1aosKwsul8tqtbrdbuWl8vfQOSm3di9xJ/7+/v7+/hqNxs/PT+ni3vi/sfEvs3FVY/lFO8MrO2lSaDAYlB4HERERF357vxRut7vxJCoqKyudTqfL5Ro0aFBjodPpbOyObrFY3G632+1WUm6bzab8eSgnusneOgOtNkRE43a7NBrN+V/s3W7HTw6KKSINDQ0LFiy46Crl+aOAgIAmpzI5OXny5MmdsO99G34H974EXrmeL+xdo7x3N99to4XbHjhwQERuvPHGJtVGjRq1devWH/sJ9tLbbduhvf322xe+x+Xm5rpcLuVtpbNp/LH2ueeea8PmRUXrWruJ0Sgddr/h5MnCjmnIZJJL/mhrqeLiDjqo2lqpvaT5jFrh9OkOOiizWYo8mxX+R0lJBx1UfX3HHdSZMx10UA0NUlS0r2PaKi3toIOyWKSoaH/HtFVf3zHtiNUqRUWe/fmy0dmzHXSmXK6Oe/erqCj05GAF//HvH97xH0rOXN9hV0vX5nQ6O2bsjHb5uaEl3G63kqT4AIfjku4y2my2p59+urVb6fX6xruznceFgwL8JO9L4HU6ndLJp0m58m4YFhZ26dsqT5tv2bJlx44d51dTNlTuk3si5ks5NC9y2WWX7d/fQV8oAQAAAMBn5pvwvgQ+JibGYDCYzU1HJVFKmh8UrSXbKuMlisiPDSej9D7SaDR/+ctfqs77edlutx8/fvyll15qLBk0aJAy4l0LY27boc2fP//CrhdffvlleXl5y8d470hvvPHGmDFjWts7wGQyFRYWOhyOVg3Gq9fr6+rqUlNTWxljqzmdzjNnzsTGxnbA/3PljyQlJcXTQ566XK4zZ85ER0dfescwp9PpdrubOXfK01apqamePii3211SUtIuB/WTamtr9Xp9WlpaxxxUZGSkMh9y+1LOnfy7Y6FyUKmpqZ7uhOZ2u8+cORMeHt7YidRzzGZzdXV1amqqp7v7ut3u0tJSnU7XAQdVX19fWVmZkpIiP94ptF243e6ysrKQkJCWD0raZvX19RUVFampqe04KvuPKS0tDQ4Ojo2N9XRDDQ0N586dS0lJufBJJWUYMI1G015/mWfPng0ICLhwqJ12Z7FYysvLk5OTPfqkkqK8vFwZb9jTDVmt1rNnz7b8oH7yg68Z586d02g0CQkJbdi2VZSDSkpK6oDEpqKiwuVyJSY2N1VBu7DZbGVlZZdyUE0++JqpWVlZ6XA4kpKS2tZQy9nt9tLS0sTExA6YE6Gqqsput3fAQTkcjjNnzrRhJEg/P7/c3Nwf+8rtdrttNpvyiMr55UlJSRd2r+4MukQXeuV7z4UPhCtjvDX/BaIl2ypzh5rN5rVr1zb/trt///7i4uLzSyorKz/77LPGl3FxcUoC38KY23ZoN91004WFhYWFFRUVnXPik+Dg4Hvuuae1Wym/lfj7+0dHR7d/TPCwuro6m83GufNGdXV1SregiIiIDvgujvblcrlqamo4d95IOXciEhAQ4Inf5uBptbW1TqezA36tQ7szm83Kk+SRkZEeHQMInuB0OvV6vReduzbcEfG+BD47O/vgwYMFBQVNpnMrKCgQkczMzEvfNikp6fjx46WlpU1mfa+rqzt58qROp8vIyBCR119//fy1t91226BBg37zm9+0ud1LOTQAAAAAgG/rdAPx/aTRo0drNJr9+/efP3imyWQ6dOhQYGDgiBEjLn3bfv36icjHH3/cZPNVq1Y98cQTu3fv9lDMl3JoAAAAAADf5n0JfFJSUm5url6vf+2115SxJa1W6wsvvGCz2YYPH37+SG+bN2/euHFj0XljJbdw24kTJ4aHh2/fvn3JkiXK8+cul2vz5s2bNm0KCgoaNWqUh2Ju+aEBAAAAALoa7+tCLyIPPPDAr3/96507d/7rX/9KT0///vvvbTZbcnLyjBkzzq/23nvv2Wy26dOn9+jRo1XbhoWFzZs3b9GiRZs2bdq8eXNycrLRaFQmGn344Ye7devmuZhbWA0AAAAA0NV43x14EUlKSnr11Vevvfba4ODgoqKiqKio8ePHv/TSSy0ZVrqF2+bn5yvVMjMzq6qqIiIiRowY8frrrw8dOtSjMV/KoQEAAAAAfJhX3oEXkZiYmAcffLD5Oh9++GGbtxWRhISEllT7yeZa224LqwEAAAAAuhSvvAMPAAAAAEBXQwIPAAAAAIAXIIEHAAAAAMALkMADAAAAAOAFSOABAAAAAPACJPAAAAAAAHgBEngAAAAAALwACTwAAAAAAF6ABB4AAAAAAC9AAg8AAAAAgBcggQcAAAAAwAuQwAMAAAAA4AVI4AEAAAAA8AIk8AAAAAAAeAESeAAAAAAAvAAJPAAAAAAAXoAEHgAAAAAAL0ACDwAAAACAFyCBBwAAAADAC5DAAwAAAADgBUjgAQAAAADwAiTwAAAAAAB4ARJ4AAAAAAC8AAk8AAAAAABegAQeAAAAAAAvQAIPAAAAAIAX0KodADzl+++/v+uuu9SOot04HA4R0Wg0/v7+aseCVnO5XG63m3PnjVwul8vlEhF/f3+NRqN2OGg1h8PBufNSfPB5NafTKSKcO2/EB59Xc7vdTqfTi86d8sfWKiTwPstisXz77bdqRwEAAAAAaB8k8L5p4MCBAQEBakfRbtxu97p160QkIiJi9OjRaocDdCGFhYXfffediFx99dVJSUlqhwN0FVardfPmzSISFxc3fPhwtcMBupCDBw+eOnVKREaMGBEbG6t2OOgqMjIyWlhT43a7PRkJ0A6cTufgwYNFJDs7e/Xq1WqHA3Qhr7766vLly0Xk5ZdfHjZsmNrhAF2FXq8fM2aMiAwYMODtt99WOxygC3n++efXr18vIu+++25eXp7a4QBNMYgdAAAAAABegAQeAAAAAAAvQAIPAAAAAIAXIIEHAAAAAMALMAo9vENERISIhIWFqR0I0LUEBQUpV59Wy+cF0HE0Go1y6YWGhqodC9C1BAcHK1efv7+/2rEAF8Eo9AAAAAAAeAG60AMAAAAA4AVI4AEAAAAA8AIk8AAAAAAAeAESeAAAAAAAvAAJPAAAAAAAXoBpgdDZmUym1atX792712QyZWdn5+bmTpgwISQkRO24gE7n1KlTH3/8cWFhocFgiI2NTU9PnzhxYq9evZpUa+E1pUo1wAecOnXqkUce6d279/PPP99kFVcf0O527Njxf//3f6dOnQoKCsrMzJwyZcrll1/epA6XHnwJ08ihUzt37tzjjz9eXV0tIpGRkUajUUTS0tJeeOEFZYpOAIovvvhi0aJFTqdTRBISEgwGg81m02g0kydPvuOOOxqrtfCaUqUa4ANsNtsjjzxSXFycl5fXJIHn6gPal9Pp/MMf/rB7924RCQ8Pt9vtFotFo9E89NBDP//5zxurcenBx9CFHp3aa6+9Vl1d3adPn6VLly5fvnzx4sVpaWklJSVLly5VOzSgEzEaja+88orT6Rw2bNiyZcveeeed1atX33vvvSKyevXqb775prFmC68pVaoBPuD9998vLi6+6CquPqB9LV++fPfu3QkJCS+99NKKFStWr1593333ud3uxYsXV1VVNVbj0oOPIYFH53X06NHCwkKdTvfEE0/ExcWJSHJy8jPPPOPv779jx47Kykq1AwQ6i61bt9pstpycnPnz58fExIiIv7//+PHjx40b53a7N23apFRr4TWlSjXABxw8eHDTpk2RkZEXruLqA9pXZWXlhg0b/P39FyxY0KNHD41Go9Fobr755qFDh1qt1i+//FKpxqUH30MCj85rz549IpKfnx8eHt5Y2K1bt169erndbmUtABEpKioSkQEDBvj7+59fPmTIkMa10uJrSpVqgLczmUyvvvpqVFTU+Q+tNOLqA9rXzp07HQ7HoEGDEhMTzy+/7777Fi5ceMUVVygvufTge0jg0XmVlpaKyMCBA5uUKyVlZWUqxAR0Sg6HIy4u7sJhewICAkREeTBeWnxNqVIN8HZvvPGGXq//5S9/edE78Fx9QPs6evSoiFx11VVNymNiYnr16pWSkqK85NKD72EUenReNTU1IqJ0PTqfUqLX61WICeiUnnrqqYuW7927V0Sys7OVly28plSpBni1//u//9uzZ88NN9yQn5/f2Hf3fFx9QPtS/oDj4+OLiop27959/Phxf3//rKysa6+99vx78lx68D0k8Oi8lKE7z+99pNDpdPLvN0cAP6agoGDt2rUiMmHCBKWkhdeUKtUA71VWVvbuu++mpKQoI0deFFcf0L6UNHjv3r0bN25snFRLGYdi7ty5P/vZz5QSLj34HhJ4dF4mk0lELpwwMzQ0VEQMBoMKMQHewGq1rl69+qOPPnK5XNOmTcvNzVXKW3hNqVIN8FJOp3PRokV2u33evHlBQUE/Vo2rD2hfyh/whg0b+vTpc9ddd2VmZtbU1GzcuPGTTz55/fXXL7vsstTUVOHSgy/iGXh0XsrvlA0NDU3K6+vrRSQsLEyFmIBOb9euXXPnzv3www8DAwMfeOCByZMnN65q4TWlSjXAS33wwQfffffdpEmTcnJymqnG1Qe0L61WKyLp6ekLFizo3bt3SEhISkrKnDlzRowY4XA4Vq1apVTj0oPvIYFH56XMhmU2m5uUKyXKWgCNTCbTwv/f3p3HRHX1fxz/jg6DSFkmLgVRARUt1rVSFTBicbQaFKxVK9G6oTVYWyxNFNOqNNiqNbRqtAXS1qVVa9S0LkFsXbqosVVSadW6gtswiLggyDI48Pxxn99kMiPITxC8PO/XX2fOfO+dM5Mcwif33nNWrFixYkVBQcGgQYPWrl376quv2hbUck41ShmgRpcvX96xY0fXrl0nTJhQcyWzD6hfer1eRCIiIuy2XxkxYoTYbL/C1EPTwy30eHZ5enrKo54UUp564s8fYCs/P3/BggW3b9/28vKKj493XJFeaj2nGqUMUKPc3NzKysoLFy5YV5qwysrKioyMFJHPPvusS5cuzD6gfnl6ehqNRrs95ESkbdu2InLr1q2qqiqNRsPUQ9PDFXg8u5Sls7Oysuz6lR5/f/9GGBPwTCopKVmyZMnt27f79+//+eefPzK9S63nVKOUAWrk4uLi7UC5MKjT6ZSXym6OzD6gfimPuOfl5dn15+fni4iPj49GoxGmHpoiAjyeXQaDQaPRnDhxory83Np5//7906dP63S6sLCwRhwb8Ew5cOCA0WgMCgr64IMPani4rpZzqlHKADUKCgpKdTB79mwRCQwMVF76+voKsw+ob8qt8vv376+srLTtP3jwoIgEBAQoL5l6aHoI8Hh2eXt79+zZ8+7du2vWrLFYLCJSXl6+bNkys9k8ePBglgABrH766ScRGTNmTFVVVeWjKGW1nFONUgY0bcw+oH517tw5MDAwOzt75cqVyqrvFRUVW7duPXjwoLOzc3R0tFLG1EPTo7FunAg8g0wm0/z58wsLC1u2bNmxY8fs7Gyz2dyuXbuVK1c67q4J/G+yWCyvv/663SUIW97e3qmpqUq7lnOqUcqApuHYsWPLly/v3bt3UlKSbT+zD6hfN27cWLBgQVFRkUajad269Z07dywWi7Oz89y5c22vcjP10MQ0T0xMbOwxANVyc3MbMmRISUlJfn6+yWTS6/XDhg17//33lf05AIhIfn7+7t27ayhwc3MbPXq0tV2bOdUoZUDTcP369SNHjnh5eYWHh9v2M/uA+uXu7v7KK6+Ul5ffu3evsLCwXbt2/fr1mz9/fo8ePWzLmHpoYrgCDwAAAACACvAMPAAAAAAAKkCABwAAAABABQjwAAAAAACoAAEeAAAAAAAVIMADAAAAAKACBHgAAAAAAFSAAA8AAAAAgAoQ4AEAAAAAUAECPAAAAAAAKkCABwAAAABABQjwAAAAAACoAAEeAAAAAAAVIMADAAAAAKAC2sYeAAAAaCLOnj27adOmM2fOXL58OScnx83Nzdvbu2/fvhMnTjQYDFot/3UAAFAnmqqqqsYeAwAAUDez2RwXF5eamlrd/xVBQUHff/99586d7fpv3LhhNBq1Wm2/fv2e/jABAFA3AjwAAKirsWPH/vDDDyLi7OwcHR3dp08fHx+f/Pz8nJycbdu2Xb9+XUT0en1WVlaHDh1sD1y0aNHSpUtbt25969atxhk6AADqwc1sAACgTrZv366k9169emVkZHh7e9u++/HHHy9btiwxMfHu3btTp049dOhQIw0TAADVYxE7AABQJxs2bFAau3btskvvIqLT6ZYsWTJu3DgROXz4cGZmZgMPDwCAJoMADwAA6uTvv/8WkW7duvn5+VVXEx0drTQaJsAXFxdbLJYG+CAAABoSAR4AANTJw4cPReTBgwc11AwaNCghISEhISEwMFDpiY2N1Wg0S5cuFZGCggKNRqPRaFavXm171IMHD1auXBkSEtK6dWs3N7fevXvHxsaeP3/e7uTr1q3TaDQ9e/YUkU2bNnXt2tXNzc3Jyalt27YGg2Hjxo2VlZWOQyosLExKShoyZEj79u1dXV179Ogxbty4o0eP1uGXAADg6WIROwAAUCeDBw/+/fffRSQ5OTk+Pr6WR8XGxqakpNh1rlq1Ki4uTmlnZWWNHj1aWQDPlkaj+eSTTxISEqw969atmzt3rpLAExMTHT8rLCxs9+7d7u7u1p6jR4+OHj367t27jsXx8fHJycm1/BYAADQkAjwAAKiTDRs2TJ8+XWmHh4fPmjVr1KhRzz33XG2OrW4V+mvXrvXp00cJ2G+88UZ4eLinp+fJkyfT0tIKCwtFZPny5QsWLFCKlQDv4uJSVlZWVVUVFBQUFRXl5+eXmZm5bds2k8kkIsOHD9+/f79Sn5eX17t37/z8fFdX15iYmODg4JYtW549e3bt2rVGo1FE9u7dGxERUT+/DgAA9YcADwAA6qSysnLKlCmbN2+29jg5OQ0YMGDo0KHh4eEDBw7U6XTVHVtdgI+IiEhPT9dqtTt27IiKirL2X7lyZcSIEefPn3dxcTl37lzHjh3l/wK8UhATE5OSkqLV/nefndzc3MjISOXB++3btytr6X3zzTcxMTEi8vPPPxsMBuvJs7OzAwMDzWbzjBkzvv766zr/MAAA1DOegQcAAHXSrFmz7777buPGjQMGDFB6Kioqjhw58tFHH4WFhen1+pEjR27btq2ioqKWJzx37lx6erqIxMXF2aZ3EfHz8/viiy9EpLS0NC0tze5AX1/fL7/80preRaRdu3Zbt25t3ry5iCgHisipU6dERKfTDR061PbwTp06zZ8/f9q0af7+/rX+9gAANBwCPAAAqAdTpkw5fvx4dnb2V199FR0d/fzzzyv9JSUlGRkZEydODAgI+Ouvv2pzqt27dyuNefPmOb4bHh4eEBAgIo4Lzs2bN8/JycmuMyAgYPz48SLyxx9/KD1eXl4iYjabU1NT7da3S0pKWr9+/YcfflibcQIA0MAI8AAAoN74+/vHxMRs2bIlLy/vzJkzq1evHjx4cLNmzUTk6tWroaGhp0+ffuxJ/vzzTxHx8fFp3779Iwu6d+8uIv/++69df1BQ0CPrg4ODRaSkpER5Hn78+PGurq4iEhsb6+/vv3jx4qNHj5aXl9f+awIA0CgI8AAA4Kno3r37u+++++uvv/7zzz8hISEiUlpa+t577z32wLy8PBExGo2aauzatUtEiouL7Q6s7tb3Tp06KY3Lly+LSEBAwI8//ti5c2cRuXbtWlJS0qBBgzw8PIYNG5aSknL//v0n/84AADxNBHgAAPDkTp48uXnzZtsV7Bx179593759vr6+InLo0KGysrKaz1nzlvK2ZY/c4N2R9b76kpISpWEwGM6cObNz585p06Ypd9SXl5cfOHAgNjY2MDDw8OHDtTktAAANjAAPAACeXEZGxuTJkydPnqzcnV4dd3f3kSNHikhlZWVOTk7N5/T09BSR4ODgqsdRbs63unLlyiNPeOnSJaWhPDyvcHZ2Hjt27Pr1600m04ULF1JSUvr16yciubm5EyZMuH379mO/OwAADYwADwAAnpz1rvVjx47VXJmbm6s0WrVqVXOlErOzs7Or2+zWYrFYLBbHy+/KdnGOlIfqdTqdsu3c1atXr169eufOHdtPnD179smTJ1evXi0iBQUFv/32W82DBACg4RHgAQDAkxsyZIizs7OILFy4sIZ14Ewm0y+//CIiL774Ytu2bWs+p7I3+82bN63L0dsqKCjQ6/VarXbx4sV2b61aterhw4d2ndnZ2Vu3bhWRvn37KvvJhYaG+vn5TZ061fHkw4cPVxr37t2reZAAADQ8AjwAAHhyPj4+M2fOFJGLFy+OHDny+vXrjjU3btyIiIhQFoeLj493LCgvL7e92P7aa6/5+PiISGxs7Pnz520rzWbzjBkzioqKNBrN9OnT7c6Tk5PzzjvvWCwWa8/NmzcnTZqkbEE/Z84cpfOll14SkQMHDjguib9x40alMXDgwFp8ewAAGpS2sQcAAADUbdmyZZmZmcePHz98+HCXLl1CQkICAgK6dOni7OxsMplOnz6dkZGhhOqoqCi71K3VakWkqKgoLS0tNDS0VatW3t7eTk5OaWlpo0aNMplMffv2HT9+fHBwcIcOHS5evJiamnru3DkRWbhwobKMvC0XF5eUlJRTp06NGTPGz88vMzNzy5YtRqNRRMLCwt58802lbNasWXv27CkrKwsKCnrrrbdefvnlNm3aGI3GnTt37tu3T0SGDRv2wgsvPP1fDgCA/x9NdU+XAQAA1FJhYWF8fPz69eur+7+iWbNmc+bMSU5O1ul0tv179uyJjIy0vly1alVcXJzS3rJly8yZM0tLSx1P9fbbb69Zs8bas27durlz54pIenp6dHR0YWGh3SEhISF79+7V6/XWnoSEhE8//fSRox04cGBGRoaHh8djvzUAAA2seWJiYmOPAQAAqFuLFi2ioqLGjh3bpk0bs9lcVVVlNpv1en1gYGBwcHB0dHRaWtqkSZOUR9BtdevWzcnJ6dKlS6WlpV5eXlFRUb169VLe6tmz59SpU7VabVFRUVlZmU6n69Gjx4gRI7799lu7x9dPnDiRnp4uIqmpqTNnzqyoqCgoKCgpKfHw8Ojfv/+iRYvWrFnTsmVL20MMBkNkZGRxcbFWqzWbzc2bN+/WrVtoaGhycvKKFStatGjxNH8tAACeEFfgAQCAulmvwBcXF7u6ujb2cAAAeFpYxA4AAAAAABUgwAMAAAAAoAIEeAAAAAAAVIAADwAAAACACrAPPAAAULf27dsbDAYRcVzlHgCApoRV6AEAAAAAUAFuoQcAAAAAQAUI8AAAAAAAqAABHgAAAAAAFSDAAwAAAACgAgR4AAAAAABUgAAPAAAAAIAKEOABAAAAAFABAjwAAAAAACpAgAcAAAAAQAUI8AAAAAAAqAABHgAAAAAAFSDAAwAAAACgAgR4AAAAAABUgAAPAAAAAIAKEOABAAAAAFCB/wAucVZ/il5XNQAAAABJRU5ErkJggg==" alt="img" /></p>
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<h4>Figure X, QQ-Plot of Theoretical vs Sample Data</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure XI, Scatterplot of Radii vs Mean Steps</h4>
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<p><img 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OBtB3+n65vr1n0/AGQp54CiR0lAARQVAS0yAgoUGgEtMgIKFBoBLTICChQaAS0yAgoUGgEtMgIKFBoBLbLXd931E3mPAcA6EVAAcCKgAOBEQAHAiYACgBMBBQAnAgoATgQUAJwIKAA4EVAAcCKgAOBEQAHAiYACgBMBBQAnAgoATgQUAJwIKAA4EVAAcMozoFe39yg47LCg5y0yVKShHHZY3kOoCYo0lEL9N8p7BDXF+r0UaCje/0b/0RCxPAP6tUOu6ckVU6Zc1eMGWZoyNe8R1Fw+ZUreQ6iZWpyhXDVlyhV5j6Hmim/mPYKaK6cU6Nid8q28R1DjexhNHTbsJw0RyzWgn+/x4sWl0psZjWS91pRW5D2EmnmluXkPoWZFaU3eQ6h6s1RanPcYajoW5j2CmiWl0sq8x1BTWpb3CGrml0qOa60koC4EVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioVpyA/vnGS697qvdXI6A+BFQjoBoB1YoS0Bkfsdh7f9zbKxJQHwKqEVCNgGoFCeilfey9J3711GFmJ67u3TUJqA8B1QioRkC1YgT0Btv8B2viv4E+NNTO7t1VCagPAdUIqEZAtUIEdNaQgY9U3kT649Z9nujVdQmoDwHVCKhGQLVCBPRcOyusvgt/vY3p1XUJqA8B1QioRkC1QgT0A/bnsBrQJYPf0qsjmID6EFCNgGoEVCtEQDffKv5ZOQ/0721Ob65LQH0IqEZANQKqFSKgA7ePf1YC+hH7a2+uS0B9CKhGQDUCqhUioO/uEz+AygHt3GbAqt5cl4D6EFCNgGoEVCtEQI+3a8JqQH9qn+zVdQmoDwHVCKhGQLVCBPTJPtv/tRLQRXvYT9Z/hToE1IeAagRUI6BaIQIanmzv/WMS0NcPsE/37qoE1IeAagRUI6BaMQL6ZmADvvCD//jh6VvYhxb07qoE1IeAagRUI6BaMQIadl6yRfJlIgNOX97LaxJQHwKqEVCNgGoFCWj0IPre0cG4b8/s9fUIqA8B1QioRkC1wgSUL1TOFgHVCKhGQDUCmiYC6kJAJQKqEVCNgGaJgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqhQlo6bsTDjvymld7fT0C6kNANQKqEVCtIAHt/NrA5Bvp+568tJfXJKA+BFQjoBoB1YoR0JXD43hu3T/6+Xfze3lVAupCQDUCqhFQrRgBHWf2gZ/OLs3+1UFm+/fuACagPgRUI6AaAdUKEdDHzP55VfIm0prJZj/s1XUJqA8B1QioRkC1QgT0YNtlVfVd+I/ae3p1XQLqQ0A1AqoRUK0QAd3M7gyrAX3a2lb15roE1IeAagRUI6BaIQLaZvEvpHIe6ED7U2+uS0B9CKhGQDUCqhUioNYn/lkJ6BB7ojfXJaA+BFQjoBoB1QoR0H72x7Aa0CVt1qv/VATUh4BqBFQjoFohAvpOOyKsBvQi27xX1yWgPgRUI6AaAdUKEdArrM9/VQL6h4F2dK+uS0B9CKhGQDUCqhUioCvfagNuXRMH9IEtbVDvvlKEgPoQUI2AagRUK0RAwycHmO16/FdP2cus7YHeXZWA+hBQjYBqBFQrRkDDR7e3ss172U8C6kRANQKqEVCtIAENl1z6niifO57d60cSAfUhoBoB1QioVpSARl574iXHtQioDwHVCKhGQLUCBZRvpM8SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTdP645T1ZWCot6XGDDC0rLc57CDVzS6W8h1CzuLQs7yFURaFYmPcYahbMz3sENdHDqDjHbqkj7xHUzHM9jBYVKaDnjikBwEZjVpECykt4F17CS7yE13gJr/0NvIQnoC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQJab1xQ80IY/qg6PzO+bNFNk0ZPvqPy62pY6EJAXQioREA1AqoVK6Avh+FV9QGdPTEIxgfBSYvC7gt1CKgLAZUIqEZAtQIEdHnFE8HXo6XJwZ/Ki/FD6pxgcil87aRgath9oQ4BdSGgEgHVCKhWgIBWvHnimHnRZGKwvLbq+WBMRzSZPaL9jW4L9QioCwGVCKhGQLXiBPT24JfxLbfX5fCW4Mpk+pVgereFegTUhYBKBFQjoFphAvrKiAviyavBWV3rLg5mJNO7gxu6LdQjoC4EVCKgGgHVChPQc9pfiiePBpf8+JTRJ17+YrxwRvB0ctmM4BvdFuoRUBcCKhFQjYBqRQnok8HlyXR6EAQjjwqCEfdFC0cFryQrH4ufljYsJH74/cTp45b1ZEH0iOhxgwwtLXXkPYSauaVS3kOo6SgtzXsIVdH/3y7Meww1C+bnPYKahQV6GC0rLcp7BDXzXA+jhakH9PTD/5pMbwrG/GZVuOTm4PAXwnBkMCdZ+WxwbLeFxPBhiYljSgCw0ZiVdkB/E1xWnnnpifIz4m8Gl4Th52tPOk/rtkBAAWysUg/o+cFjjSt+H0wKw1ODZ5KFGfEZog0LiZ/+W+LMcct7Er32WNLjBhlaVlqc9xBqopfweQ+hZnFpWd5DqFoSvYTPeww1C+bnPYKa+CV83mOoKXXkPYKaea6H0aKUA/pG+4TVjWvmBCPXhBcEDycL9wTXhY0L9XgTyYU3kSTeRNJ4E0krxptIPwymlWeWTr+/PPNscGoY3hZcmyxcEDzQbaEeAXUhoBIB1QioVoyAnlR5eR6uGR88kcxcF1wfhrPaJ8TBWTRq1JJuC/UIqAsBlQioRkC1QgR0bjCi+h/nzmD8U9ED6vb2sQuipXODyzvDFZODq8PuC3UIqAsBlQioRkC1QgT0P4Mzq7OdlwbB2EntwdjH46VZ44MjzhoVHN+x1kIdAupCQCUCqhFQrRAB/Vb1T6Cxh88fO/rMGytHzrxrjxo5adpSsdCFgLoQUImAagRUK0RANwwBdSGgEgHVCKhGQLNEQDUCqhFQjYCmiYC6EFCJgGoEVCOgWSKgGgHVCKhGQNNEQF0IqERANQKqEdAsEVCNgGoEVCOgaSKgLgRUIqAaAdUIaJYIqEZANQKqEdA0EVAXAioRUI2AagQ0SwRUI6AaAdUIaJoIqAsBlQioRkA1ApolAqoRUI2AagQ0TQTUhYBKBFQjoBoBzRIB1QioRkA1ApomAupCQCUCqhFQjYBmiYBqBFQjoBoBTRMBdSGgEgHVCKhGQLNEQDUCqhFQjYCmiYC6EFCJgGoEVCOgWSKgGgHVCKhGQNNEQF0IqERANQKqEdAsEVCNgGoEVCOgaSKgLgRUIqAaAdUIaJYIqEZANQKqEdA0EVAXAioRUI2AagQ0SwRUI6AaAdUIaJoIqAsBlQioRkA1ApolAqoRUI2AagQ0TQTUhYBKBFQjoBoBzRIB1QioRkA1ApomAupCQCUCqhFQjYBmiYBqBFQjoBoBTRMBdSGgEgHVCKhGQLNEQDUCqhFQjYCmiYC6EFCJgGoEVCOgWSKgGgHVCKhGQNNEQF0IqERANQKqEdAsEVCNgGoEVCOgaSKgLgRUIqAaAdUIaJYIqEZANQKqEdA0EVAXAioRUI2AagQ0SwRUI6AaAdUIaJoIqAsBlQioRkA1ApolAqoRUI2AagQ0TQTUhYBKBFQjoBoBzRIB1QioRkA1ApomAupCQCUCqhFQjYBmiYBqBFQjoBoBTRMBdSGgEgHVCKhGQLNEQDUCqhFQjYCmiYC6EFCJgGoEVCOgWSKgGgHVCKhGQNNEQF0IqERANQKqEdAsEVCNgGoEVCOgaSKgLgRUIqAaAdUIaJYIqEZANQKqEdA0EVAXAioRUI2AagQ0SwRUI6AaAdUIaJoIqAsBlQioRkA1ApolAqoRUI2AagQ0TQTUhYBKBFQjoBoBzRIB1QioRkA1ApomAupCQCUCqhFQjYBmiYBqBFQjoBoBTRMBdSGgEgHVCKhGQLNEQDUCqhFQjYCmiYC6EFCJgGoEVCOgWSKgGgHVCKhGQNNEQF0IqERANQKqEdAsEVCNgGoEVCOgaSKgLgRUIqAaAdUIaJYIqEZANQKqEdA0EVAXAioRUI2AagQ0SwRUI6AaAdUIaJoIqAsBlQioRkA1ApolAqoRUI2AagQ0TQTUhYBKBFQjoBoBzRIB1QioRkA1ApomAupCQCUCqhFQjYBmiYBqBFQjoBoBTRMBdSGgEgHVCKhGQLNEQDUCqhFQjYCmiYC6EFCJgGoEVCOgWSKgGgHVCKhGQNNEQF0IqERANQKqEdAsEVCNgGoEVCOgaSKgLgRUIqAaAdUIaJYIqEZANQKqEdA0EVAXAioRUI2Aan8TAV3TkyigK3vcIEOrS8vzHkJNFNC8h1CzvLQ67yFUrYwCmvcYajoW5j2CmiigK/IeQ01pad4jqIkC6rjWiiIF9NwxJQDYaMwqUkDPH7e8JwtLpSU9bpChZaXFeQ+hZm6plPcQahaXluU9hKromdbCvMdQs2B+3iOoiR5GxTl2Sx15j6BmnuthtKhIAeVvoC78DVTib6AafwPV/ib+BtrjxQRUI6ASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqBDRNBNSFgEoEVCOgGgHNEgHVCKhGQDUCmiYC6kJAJQKqEVCNgGaJgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqBDRNBNSFgEoEVCOgGgHNEgHVCKhGQDUCmiYC6kJAJQKqEVCNgGaJgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqm1xA597zveda9hAhoC4EVCKgGg466t4AACAASURBVAHVWhzQnx5zUfTzl9uZ2SGtOhgIqAsBlQioRkC11gb0dLOJYbjo7Rbb37GjZhBQFwIqEVCNgGotDejDZgPOC8Prza55/myzBx17agIBdSGgEgHVCKjW0oCOtJ1eiiYH27Do56dslGNPTSCgLgRUIqAaAdVaGtA97bLo54qBdmM0+a7t7dhTEwioCwGVCKhGQLWWBnQzuy/6+YjZC9HkQdvCsacmEFAXAioRUI2Aai0N6NvtX6Of59kO8cKttq1jT00goC4EVCKgGgHVWhrQf7DTwnD1znZ0vHCK/b1jT00goC4EVCKgGgHVWhrQr9mQn6+53ize9umBNt6xpyYQUBcCKhFQjYBqLQ3owq3MBpi9e0U477BB1vakY09NIKAuBFQioBoB1Vp7Iv0jbzWLnoWG4SvR9GzHjppBQF0IqERANQKqtfijnK9P+5dL/hRNX9kx+KljP00hoC4EVCKgGgHV+DamLBFQjYBqBFTbtAI665GfvbzasZNmEVAXAioRUI2Aaq0O6F3DN4u/SGTAfrfxdXYEdF0IqEZAtU0moIs+aTUfW+DYUTMIqAsBlQioRkC1lgZ09YFmfY+8+qcPXTehn9k/tOh1PAF1IaASAdUIqNbSgE4z2/eF8uyLHzH7nmNPTSCgLgRUIqAaAdVaGtCD7G2zqvOvv92GO/bUBALqQkAlAqoRUK2lAd3WTu9a+JJt59hTEwioCwGVCKhGQLVWBrTT7PaupTttkGNPTSCgLgRUIqAaAdVaGdAOs4u7lr5huzn21AQC6kJAJQKqEVCtpS/hd7MPrarOd+5nX3TsqQkE1IWASgRUI6BaSwN6i9kXKgVddZxtNUtutMEIqAsBlQioRkC11p5If0Gb7TL11zNn/vrqXW3wg0sSyx376xEBdSGgEgHVCKjW0oDutddgW8vBjv31iIC6EFCJgGoEVGtpQNeuJwHNewg1BFQioBoB1Voa0OuUex376xEBdSGgEgHVCKjG94FmiYBqBFQjoNqmFtBWfhsoAXUioBIB1Qio1uqAvnLuQUOHWLj63Bcdu2kOAXUhoBIB1Qio1uKAXlp+Gz7stLZzHftpCgF1IaASAdUIqNbagF4SxfM97XFAt7BWfRCJgPoQUImAagRUa2lAn2+zPX4Zn80U3eXA+jzr2FMTCKgLAZUIqEZAtZYG9Dh7y8thOaDhyj3sGMeemkBAXQioREA1Aqq19pNI9uXkwuTSK21fx56aQEBdCKhEQDUCqrU0oEPsX5MLk0vvty0de2oCAXUhoBIB1Qio1tKAbm03JRcml15vb3HsqQkE1IWASgRUI6BaSwP6YTsyuTC5dILt7dhTEwioCwGVCKhGQLWWBnSK2X1hJaDPD7bJjj01gYC6EFCJgGoEVGtpQBfvaP2+NDMO6Jp732abvebYUxMIqAsBlQioRkC11p5I/9utzWxns/2HmrXd6dhRMwioCwGVCKhGQLUWf5TzlUOrXwO604OO/TSFgLoQUImAagRUa/m3MT03ZdQB+xx03F09ROxHQcXMeGnRTZNGT76j8hta90IXAupCQCUCqhFQrQjfB3pVfUBnTwyC8UFw0qKwx4U6BNSFgEoEVCOgWksDetVVdQuzrrp9Hbc2OfjT8kT8KDonmFwKXzspmBr2uFCHgLoQUImAagRUa/G/iVS38LTttI5bmxh0/UudzwdjOqLJ7BHtb/S0UI+AuhBQiYBqBFTLLKBrvmMD13Fj7XUFvCW4Mpl+JZje00I9AupCQCUCqhFQrVUBfXy7iNl2NVuY7apv7NXgrK6Fi4MZyfTu4IaeFuoRUBcCKhFQjYBqrQro/4p/0PhSfWOPBpf8+JTRJ16e/KMfZwRPJytnBN/oaSHRsShx/ufX9CQK6MoeN8jQ6tLyvIdQEwU07yHULC+tznsIVSujgOY9hpqOhXmPoCYK6Iq8x1BTWpb3CGqigDqutWK9Af3reRGz87p8bXr3bSqmB0Ew8qggGBF/7POo4JVk5WPx09J1LySGD0tMHFMCgI3GLMebSOt0UzDmN6vCJTcHh78QhiODOcnKZ4Nje1ogoAA2Vk0G9IQTmgnoS0+U/4rwzeCSMPx87XnmaT0tJI4fnzhu7IKezCuV5ve4QZYKNJS5pVLeQ6iZX6ShlOblPYaauXPzHkFNsR5GBfpP5HoYzUn1RPqK3weTwvDU4JlkYUbw9Z4W6vEmkgtvIkm8iaTxJpKWySeRlj/3Ro+Xl80JRq4JLwgeThbuCa4Le1ioR0BdCKhEQDUCqrUwoI/fWC7e0wf3Mdtr2roeIkun31+eeTY4NQxvC65NFi4IHuhpoR4BdSGgEgHVCKjWsoC+OtzK36D8xODySUwj15GxNeODJ5KZ64Lrw3BW+4S4MYtGjVrS00I9AupCQCUCqhFQrVUBfSH+JtA4oCvfYbbrCe1bmP3LOm7szmD8U9Fj6Pb2sQuipXODyzvDFZODq8MeF+oQUBcCKhFQjYBqLQroqn3NRt8Tn3d0p9kBHWH42get74v6xjovDYKxk9qDsY/HS7PGB0ecNSo4vqPnhToE1IWASgRUI6BaiwL672YXluf+yfo8F0//2te6vXve5eHzx44+88bKwTLv2qNGTpq2dH0LXQioCwGVCKhGQLUWBXSCvaNcrZWD7WPlVZ+xUY49NYGAuhBQiYBqBFRrUUDfb2eXZ35lVvmb5ZdtX8eemkBAXQioREA1Aqq1KKDb2XfKM+ebPVeem2rbO/bUBALqQkAlAqoRUK1FAR1kPy7PHGA7VFZdZoMce2oCAXUhoBIB1Qio1qKA7mHXJNPF/W1sZdUke4djT00goC4EVCKgGgHVWhTQT9sxyfSHZtMqq/7RDnDsqQkE1IWASgRUI6BaiwJ6lg16PZ4ON3u5vOYvA+xrjj01gYC6EFCJgGoEVGtRQJ822/uVMLzCbP/yiuUHWZ+nXSNcLwLqQkAlAqoRUK1VH+U83qxtj53M7LZ4adaP32P2Bd8I14uAuhBQiYBqBFRrVUBXHF7+CpFx8cLt8dz+rToYCKgLAZUIqEZAtdZ9nd1dh+60w4HfTx4YUUAHntyyw5KAuhBQiYBqBFTL5AuVH7vo9pmOvTSJgLoQUImAagRUyySgrUVAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqBDRNBNSFgEoEVCOgGgHNEgHVCKhGQLVNKKAv/uyhLo49NYGAuhBQiYBqBFRrbUD/e1er59hTEwioCwGVCKhGQLWWBvSlgUZA6xFQjYBqBFTbVAI60eyzDz73hxrHnppAQF0IqERANQKqtTSge9rhjhvvLQLqQkAlAqoRUK2VAV0zwB7wjKmXCKgLAZUIqEZAtVYGdLHZ/3nG1EsE1IWASgRUI6BaKwO6cnO7wTOmXiKgLgRUIqAaAdVa+jfQSbZnBgcjAXUhoBIB1Qio1tKAduxtw59z3HzvEFAXAioRUI2Aai0N6P3/+i7re+Ckc8+rcOypCQTUhYBKBFQjoFpLA2rGifQNCKhGQDUCqm0qAd28G8eemkBAXQioREA1AqrxbUxZIqAaAdUIqEZA00RAXQioREA1AqplF9COEWc69tQEAupCQCUCqhFQLbuAPmjbOPbUBALqQkAlAqoRUK21Ae38VvteFXv2sa0de2oCAXUhoBIB1Qio1tKArj604SymExx7agIBdSGgEgHVCKjW0oD+xGzXoz9tdswJX9jHNr+7RQ8SAupCQCUCqhFQraUB/Yzt3hGGn7SfRek42c527KgZBNSFgEoEVCOgWksDuoddHv38pn09+rn8XX2fduypCQTUhYBKBFQjoFpLAzrE4q0esfHxwtV2rGNPTSCgLgRUIqAaAdVaGtDNkoDOsmHxwi/tnY49NYGAuhBQiYBqBFRraUDfaVfEkyED4l/9UzbIsacmEFAXAioRUI2Aai0N6DjbPT4YP2j3Rz/vsHc49tQEAupCQCUCqhFQraUB/bnZnteE4Rn2/jnh7PfZJx17agIBdSGgEgHVCKjW2k8ijTHbKQyf6WuD3zfI7D7HnppAQF0IqERANQKqtTagb162y87R5LLkg0iTHDtqBgF1IaASAdUIqNbyLxNJivGL8cOPvdexn6YQUBcCKhFQjYBqfB9olgioRkA1AqptagFd7dhF8wioCwGVCKhGQLVWB/SVcw8aOsTC1ee+6NhNcwioCwGVCKhGQLUWB/TSweV/jrPT2s517KcpBNSFgEoEVCOgWmsDekkUz/e0xwHdwuyLjh01g4C6EFCJgGoEVGtpQJ9vsz1+Gf/z8NFdDqzPs449NYGAuhBQiYBqBFRraUCPs7e8HJYDGq7cw45x7KkJBNSFgEoEVCOgWksDupd9ObkwufRK29expyYQUBcCKhFQjYBqLf4+0H9NLkwuvd+2dOypCQTUhYBKBFQjoFpLA7q13ZRcmFx6vb3FsacmEFAXAioRUI2Aai0N6IftyOTC5NIJtrdjT00goC4EVCKgGgHVWhrQKeVvYEoC+vxgm+zYUxMIqAsBlQioRkC1lgZ08Y7W70sz44Cuufdtttlrjj01gYC6EFCJgGoEVGvtifS/3drMdjbbf6hZ252OHTWDgLoQUImAagRUa/FHOV851Cp2etCxn6YQUBcCKhFQjYBqLf82puemjDpgn4OOu6t1ESOgLgRUIqAaAdX4PtAsEVCNgGoEVCOgaSKgLgRUIqAaAdVaFNB7Jfcoe0RAXQioREA1Aqq1KKAmuUfZIwLqQkAlAqoRUI2AZomAagRUI6DaJhHQQYd//xfduEfZIwLqQkAlAqoRUK1FAZ2wVZTQto9e+Yp7YM0joC4EVCKgGgHVWvUu/JsPHbt9/Kp938te8A6tWQTUhYBKBFQjoFoLT2PqnHHKjnFD9/76c66hNYuAuhBQiYBqBFRr7Xmga/7nzHfGDd3zq0859tIkAupCQCUCqhFQrfUn0j9xzh5xQ3c7+zHHjppBQF0IqERANQKqZfJJpGcu/EDc0F0ce2oCAXUhoBIB1QioltVHOV84rQ/ngRLQdSCgGgHVNrmAzrruY304kZ6ArgsB1QiotmkFdOY1B8b13GLMvzn21AQC6kJAJQKqEVCt1QF9deoBbVE9txx/73LHfppCQF0IqERANQKqtTSgf7ly/7ieW034aSu7QUBdCKhEQDUCqrUuoC9/8yPxW+/bHP3vLe4XAXUhoBIB1Qio1qKAvjjlQ3E9t/vCQ6vcQ2sWAXUhoBIB1Qio1sKvs3vr8T/vdI+rFwioCwGVCKhGQLXWBXTgfv/QnXuUPSKgLgRUIqAaAdX+Br5Q+atjO3oS3cOFPW6QpQINZW6plPcQahYWaSil+XmPoWb+vLxHUFOsh9GCvEdQ43sYzV1fQPeRWhXQhT2ZVyot6HGDLBVoKNF/+byHUDO/SEMpzct7DDXz5uY9gppiPYzm5z2CGt/D6A3+VU4XXsJrvITXeAmv/e2/hM8SAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQRi9PPeazx170XDL/o6BiZry06KZJoyffUfl1NSx0IaAuBFRZ+bPLL/r+7LxHUUVANQLa4JERQTBpVNB+R7xwVX1AZ08MgvFBcNKisPtCHQLqQkDXtvzirS3SZ8Qf8x5JGQHVCGi9haOCy+eFnT9pb/9dtDQ5+NPyRPyQOieYXApfOymYGnZfqENAXQjoWt7Yz/puu/lmWw+xLe7PeywJAqoR0Hp3B2d2xtNpwSXRz4nB8tolzwdjOqLJ7BHtb3RbqEdAXQhodysPsP5mbW3R/2zQo3mPJkZANQJa7xvB7cn0+eDo6Jbb63J4S3BlMv1KML3bQj0C6kJAu5tqdT6wOu/hhAR0XQhovYuOfjyZ/jmYEIavBmd1XXJxMCOZ3h3c0G2hHgF1IaDdrHlr9NRz9C/+Ouepi7aMCvpg3uMJCei6EFDljuDCMHw0uOTHp4w+8fIX4zVnBE8nl8wIvtFtoR4BdSGg3Txh1ue28mlML7/L7Oi8xxMS0HUhoMJTnw1+H4bTgyAYeVQQjLgvWnVU8Epy0WPx09KGhcSFZydOHtvRk+geLuxxgywVaChzS6W8h1CzsAhDud7sK/FQSvM7Op7qa7vlPZ7I/Hl5j6CmWA+jBXmPoMb3MJqbekBX3Hp48KNoelMw5jerwiU3B4e/EIYjgznJhc8Gx3ZbSAwflpg4pgRssBOs78zawsds8xyHgr9xs9IO6K+PDkY/FM+89ET5GfE347fkP1970nlatwUCirR9rr6ZX7BB+Y0Ef+tSDuiiy4JgypyGVb8PJoXhqcEzycKM4OvdFhKvzUycN76zJx2l0ooeN8jQqtKyvIdQM680N+8h1Cwrrcp7CJ2dX7Q+Mzs7V0QvyaKFD9kWeY8nsmhB3iOoWVwqLc97DDWlJXmPoGZ+qeS41rJUAzpnYnDs893XBSPXhBcEDycL9wTXhY0L9XgTyYU3kbr5rtk/r6l8Fv6BNts97/GEvIm0LryJVG/pCcFFS6rz0ysfAXk2ODUMbwuuTRYuCB7otlCPgLoQ0G5eNLNjlycBvXdzs+PyHk9IQNeFgNa7L7iw9vBZMz54Ipm5Lrg+DGe1T4iDs2jUqCXdFuoRUBcC2t27rc3eccFd919/SHwm/W/zHk5IQNeFgNY7Ofjd6oowvDMY/1T0gLq9feyC6KJzg8s7wxWTg6vD7gt1CKgLAe1uulm/8seQBpl9Ju/RxAioRkDrdB5e/f6lIHrV1HlpEIyd1B6MTT6dNGt8cMRZo4LjO9ZaqENAXQjoWk6I2jlg+7duEU12nLP+zVuPgGoEtM7rQX1Aw/Dh88eOPvPGypEz79qjRk6atlQsdCGgLgR0LZ2nxt8jEtvrpbzHkiCgGgFNEwF1IaDCI4cOiPK559SCtIKAagQ0TQTUhYBKCx75xZ/zHkMNAdUIaJoIqAsBlfg3kTQCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZANQKaJQKqEVCNgGoENE0E1IWASgRUI6AaAc0SAdUIqEZANQKaJgLqQkAlAqoRUI2AZomAagRUI6AaAU0TAXUhoBIB1QioRkCzREA1AqoRUI2ApomAuhBQiYBqBFQjoFkioBoB1QioRkDTREBdCKhEQDUCqhHQLBFQjYBqBFQjoGkioC4EVCKgGgHVCGiWCKhGQDUCqhHQNBFQFwIqEVCNgGoENEsEVCOgGgHVCGiaCKgLAZUIqEZAtb+BgF4w/s2eLCqVlvW4QYZWlpbmPYSaKKB5D6FmaWll3kOoWlYqLcp7DDULF+Q9gpqOAj2M3iwtznsENfOi52e9t6RIAT13TAkANhqzihTQC8Z39iT6v84VPW6QoVWlZXkPoSZ6Bpr3EGqWlVblPYSqFaVSR95jqFm0IO8R1CwulZbnPYaa0pK8R1ATvYR3XGtZkQLK30Bd+BuoxN9ANf4Gqv0N/A2UgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqBDRNBNSFgEoEVCOgGgHNEgHVCKhGQDUCmiYC6kJAJQKqEVCNgGaJgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqBDRNBNSFgEoEVCOgGgHNEgHVCKhGQDUCmiYC6kJAJQKqEVCNgGaJgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAu814goAIB1QioRkCzVJiALrvqI/2t/4enFuRAJKAaAdUIaJoIaK89sYtZ/0H9zXZ5PO+hJAioRkA1ApomAtpbT2xmVYMLUVACqhFQjYCmiYD20vKdzdqSfEY/dyrCsUhANQKqEdA0EdBemho/8zzhBw/cdvzgaO5beQ8nJKDrQkA1ApomAtpLu5u9/+XkNKaXP2D2nryHExLQdSGgGgFNEwHt5SD62HZzKueBvrGdta3Oe0AEdF0IqEZA00RAe6fD7Hth9UT6W8wW5D0gArouBFQjoGkioL2z2CxORDmgSwloIwKqEVCNgGapKAF9LKwG9HGzAjxICahGQDUCmiYC2jtvmn0irAb0E2YFGBIB1QioRkDTREB7aUuzr1YCeoHZFnkPJySg60JANQKaJgLaSxPN7LDHooA+dlg0NyHv4YQEdF0IqEZA00RAe+lPfeOPIG2z+zbxR5H6/jHv4YQEdF0IqEZA00RAe+vS6Ilnvz7Wp180vSTvwcQIqEZANQKaJgLaW2u+ZNan/FH4MwtRLgKqEVCNBQOBAAAAD71JREFUgKaJgPbeT/dKvkxkr5/mPZAyAqoRUI2ApomAevz+2+df+7u8B1FFQDUCqhHQNBFQF/5NJImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqBDRNBNSFgEoEVCOgGgHNEgHVCKhGQDUCmiYC6kJAJQKqEVCNgGaJgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgoW0Dd+9ULnui4joBoB1QioRkDTVKSALv5oX4sM/Zm+mIBqBFQjoBoBTVOBAnp3n6iefdqiHwfLywmoRkA1AqoR0DQVJ6APmfU9LUrk/UPNDlQbEFCNgGoEVCOgaSpMQNf0t807yrNjzG5RWxBQiYBqBFQjoGkqTECPt7Zak95tm4stCKhGQDUCqhHQNBUmoFvZP9bm/2I2e+0tCKhGQDUCqhHQNLUkoH/45FYDNtvlsl5dp4890LXQ36auvQUB1QioRkA1ApqmDQ3onaOHH/V4PLN63JA2s0GfWh6u2c/KBk7vxUDa7I2uhSH2L2tvQUA1AqoRUI2Auiy6adLoyXes9btzBPSVYQParM/bboxmx/Qpl/Ka8Of9KtXsc+N2ZkMOv+SM90YLVzc/vj52T9dCP7t27S0IqEZANQKqEVCP2RODYHwQnLSo2/reB3RCpZT21rlRKtu22XGLaH7vaO5Tz635y5jkVPizkw3nbGVtzzU9wG3tQ7X5Z8zmr70FAdUIqEZANQLqcU4wuRS+dlLQ/W+LvQ7op8w2O6O05vb3JBEdHT92S7tHc5vNSS5eua3ZmZVNOwfZTk0P8MtmL1fn32ZvEVsQUI2AagRUI6AOzwdj4pMsZ49of6Pxgt4G9DtmnyzP3dNmdnNl7Q5m/1uZ/aDZ+6obTzdb3vQQB9nAmeW5j5vdKzYgoBoB1QioRkAdbgmuTKZfCbq9sdPbgA6y3aqz/c1+Xltr7++a7VPbup9NaXqIj7VZ22dnhZ1TtzA7XG1AQDUCqhFQjYA6XBzMSKZ3Bzc0XtDLgD5p9npldk70un2fynw0268yG7+t9Fp1863tyObH+F/V96FsnLycgGoEVCOgGgF1OCN4OpnOCL5RWfOrnye+NH5FTxaWSkvrl4+yzauzt1qbbVaZj6tXme1rfe1H1W22sIk93nyjJSMGxm/jv/u3+uLlpcW9uLHWmluam/cQahaXluc9hKqlpdLCvMdQs2B+3iOoWVQqLcl7DDWljrxHUDOvVHJcqyOHgB4VvJJMHwvOqqwZPiwxcUypNw60Haqzl0Wl7FeZjwNamd0i6uqvq9u02c29uvnS68+82rsrANi0zMohoCOD8pvkzwbHblBAR9hW1dlfxSeAVuajF99tldlPd7W0dGxtLQCkIo+Afr72DPS0ypqbrkl8cdySniwolTrql79vbbX5PmY7VWb3Mdu+MjvHrF9l9pE2G97jrfdSaVGat7ZB5kavyYpiUZGGUlqQ9xhq5s/LewQ10cOoOMduaWHeI6jxPYzm5xDQU4NnkumM4OuNF/T2Xfg+dkR1NqrmBZXZH5gNrcweFj0D3enVeO78NhuU5jeR8CaSxptIGm8iabyJ5HBB8HAyvSe4rvGC3gZ0jNmtlYs2Mxtcfl57R/w18lveF839zw5mO8YL73p73+gV/gupDL6CgGoEVCOgGgF1uC0of7j8guCBxgt6/Umkbc0+Fn8edEr5pKPdz512/PZmA06I5tsGxOcwHRbeOrh8NtJHmj+LvhkEVCOgGgHVCKjDrPYJcX0WjRq1pPGCXgd02dAojf0HRs85+9z9m0op7R1Lwid3Sua2fSje6LEjPvzxr6d9yBBQjYBqBFQjoB7nBpd3hismB92/H8nxbUxnx2drWts+C6L5qbsM6rfZ3r9I1nfOuOrfW5k4AqoRUI2AagTUY9b44IizRgXHd3Rb7/o+0JnfufyR9IbWLAKqEVCNgGoE1GXetUeNnDRtaffVhfknPdaPgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1QhomgioCwGVCKhGQDUCmiUCqhFQjYBqBDRNBNSFgEoEVCOgGgHNEgHVCKhGQDUCmiYC6kJAJQKqEVCNgGaJgGoEVCOgGgFNEwF1IaASAdUIqEZAs0RANQKqEVCNgKaJgLoQUImAagRUI6BZIqAaAdUIqEZA00RAXQioREA1AqoR0CwRUI2AagRUI6BpIqAuBFQioBoB1QholgioRkA1AqoR0DQRUBcCKhFQjYBqBDRLBFQjoBoB1Qhomr52wPiejD3yyHE9bpClIg3lyCPzHkLNuCIN5cixeY+hZsyYvEdQU6yHUYH+E7keRmMLFdBhALBRKU5Ap1/So88NG3Z6z1tsmj46bL+8h1BEZw4b9tm8x1BEY4YNOyXvMRTRx4bt67vikw0RyzOg63HxsGG/zXsMRfTJYcPzHkIR/W7YsAvzHkMRXT1s2H/lPYYiGjnsQ2ncDAHd6BBQiYBqBFQjoJsqAioRUI2AagR0U0VAJQKqEVCNgG6qCKhEQDUCqv3tB/SK4cN/l/cYimjk8Pa8h1BEzwwfPiXvMRTRjcOH/3feYyiizw//eBo3U+CAAkCxEVAAcCKgAOBEQAHAiYACgBMBBQCnwgZ00U2TRk++ozhfH5i/l6ce89ljL3oumf9RUDEz50HlrvE3wVFTMS6oeYHDpeo/R79emWs4UDbkqClqQGdPDILxQXDSorwHUhiPjAiCSaOC9jvihat4RFQ0/CY4aqrqAvoyh0vV5KAS0IYDZYOOmqIG9Jxgcil87aRgat4DKYqFo4LL54WdP2lvjz9dMDn40/JEYb4QPi8NvwmOmqrlFU8EXw85XMqWTguqAW04UDboqCloQJ8PxnREk9kj2t/IeygFcXdwZmc8nRZcEv2cGCzPeTxFUf+b4Kjp7s0Tx8wLOVxiPz/rc0E1oA0HyoYdNQUN6C3Blcn0K8H0nEdSFN8Ibk+mzwdHh+HK9p7/OalNR8NvgqOmu9uDX4YcLonvjhs3rr0S0IYDZcOOmoIG9OJgRjK9O7gh34EUxkVHP55M/xxMCMNXg7NyHk5RNPwmOGq6eWXEBfGEw6ViXCWgDQfKhh01BQ3oGcHTyXRG8I2cR1I0dwQXhuGjwSU/PmX0iZe/mPdoctfwm+Co6eac9pfiCYdLRTWgDQfKhh01BQ3oUcEryfQx/r+z0VOfDX4fhtODIBh5VBCMuC/v8eSt4TfBUdPoyeDyZMrhUlENaMOBsmFHTUEDOjKYk0yfDY7NeSSFsuLWw4MfRdObgjG/WRUuuTk4/IW8h5Szht8ER02j0w//azLlcKmoBrThQNmwo6agAf187f8VTst5JEXy66OD0Q/FMy89UUpWfDN5S35T1vCb4Khp8JvgsvIMh0tFNaANB8qGHTUFDeipwTPJdEZyGhtiiy4LgilzGlb9PpiU02CKJvlNcNQ0OD94rHHFJn+4VAPacKBs2FFT0IBeEDycTO8Jrst5JIUxZ2Jw7PPd1wUjN+lTo7skvwmOmnpvtE9Y3bhmkz9cqgFtOFA27KgpaEBvC65NphcED+Q8kqJYekJw0ZLq/PT7yzPPBqfmNqBCaPxNcNTU+2EwrTzD4VJVDWjDgbJhR01BAzqrfcKKaLJo1Kgl691203BfcGHt2cOa8cETycx1wfW5DagQGn8THDX1Tqq8NOVwqakGtOFA2bCjpqABDc8NLu8MV0wOrs57IEVxcvC71RVheGcw/qkwXHF7+9gFeY8rZ42/CY6aLnODESsrsxwuFdWANh4oG3TUFDWgs8YHR5w1Kji+I++BFETn4bVv1zkuWro0CMZOag/GPp73uPLW+JvgqOnyn8GZ1VkOl4paQBsOlA06aooa0HDetUeNnDRtad7DKIrXg/qAhuHD548dfeaNC/MeVgE0/CY4amq+Vf0TaIzDJVELaOOBsiFHTWEDCgBFR0ABwImAAoATAQUAJwIKAE4EFACcCCgAOBFQAHAioADgREABwImAAoATAQUAJwIKAE4EFACcCCg2Rg9ZVd9dP3HOvPVtvp2dF4ZzzW4OaxMgBQQUG6OugMa2um09mxNQtAYBxcYoCuioGxLf/OKO0dPQ/+15cwKK1iCg2BhFAb2iOr/sn8z+uefNk4CumT17WVibACkgoNgY1Qc0nNlmu/e8eRJQIHUEFBujhoCGu1ifFT1uTkDRGgQUG6PGgH7A+q5KZn45/t2bb77nYfeurlzw40OHDtz1uD+WA7qk/MfPJfwNFKkhoNgYNQR0zRB7dzx9c2z1bflDO+Pl5e3lpcE/IaBoDQKKjVFDQG80uzieXma2+zd/cs9lu5t9K14+wmzrk2699AAbPICAoiUIKDZGXQHteOacwXbg8nh2F3tvRzxdtKu1R5MHzfZ4IZqu/pfoWSgBRSsQUGyMGk6k7/Mvi+N1K3be6ZrypRNtr+jnYWbl00PX/B0BRWsQUGyMGgI6+KJu78F/JgnoUPtEZfm7BBStQUCxMer6JNI1p+1sNqbrktcfueIQiwPaYbVzl/5IQNEaBBQbo/o3kTo+ZPZ0MvfsmR8cUn5SGgX0t2bfq2yxnICiNQgoNkYN78L/1OzqeDqlr1n/vx934c+OiQP6rNkt1S02I6BoCQKKjVHjRznNzokmv4ieeE5P/hp6QhzQ5W321coGb/AMFK1BQLExaghop9mJ0WS8DZ5TXvGF5E2kt9shlQ3+g4CiNQgoNkYNAV1l9rloMtzeV15es08S0JFmj5ZXHExA0RoEFBuj7gE9MJocW3kGuvxksz3D5Hnnni/GK6ZwIj1ahIBiY9T4ZSJb2m7Rz5+Yve/O3824+l02xPo81JF8lHPbU++46hAbuCcBRUsQUGyMun8bU9uT0WRS5YNJX74r+jkieip6WHnFoLuPJKBoCQKKjVFjQM+08jcq/+TgnQfuMun34erj37LNGfGKuw5964AdJzwTElC0BgEFACcCCgBOBBQAnAgoADgRUABwIqAA4ERAAcCJgAKAEwEFACcCCgBOBBQAnAgoADgRUABwIqAA4ERAAcDp/wHr9w0diKkF5gAAAABJRU5ErkJggg==" alt="img" /></p>
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<h4>Figure XII, Scatterplot with Quadratic Regression of Radii vs Mean Steps</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure XIII, Scatterplot of Radii vs Median Steps</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure XIV, Scatterplot with Quadratic Regression of Radii vs Median Steps</h4>
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<p><img 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alt="img" /></p>
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<h4>Figure XV, Scatterplot of Radii vs Range of Steps</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure XVI, Scatterplot with Quadratic Regression of Radii vs Range of Steps</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure XVII, Scatterplot of Radii vs Variance of Steps</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure XVIII, Scatterplot with Cubic Regression of Radii vs Variance of Steps</h4>
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<p><img 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" alt="img" /></p>
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<h4>Figure XIX, Scatterplot of Radii vs Skewness</h4>
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<p><img 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" alt="img" /></p>
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<h3>R Code</h3>
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<pre><code class="language-R">rm(list=ls())
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library(moments)
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library(ggplot2)
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simulateRoom = function(r) {
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n = 1000
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results = numeric(n)
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x = 0
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y = 0
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dist = 0
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num = 0
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for (i in 1:n) {
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while(dist < r) {
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deg = runif(1, min=0, max=360)
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newx = cos(deg)
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newy = sin(deg)
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x = x + newx
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y = y + newy
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num = num+ 1
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dist=(x^2 + y^2)^0.5
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}
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results[i] = num
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x= 0
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y = 0
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dist = 0
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num = 0
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i = i + 1
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}
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return(results)
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}
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repetitions = 3
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radii = c(2, 3, 4, 5, 10, 25, 50, 100)
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median_stepcount = c()
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mean_stepcount = c()
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variance_stepcount = c()
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range_stepcount = c()
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skewness_stepcount = c()
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for (r in radii) {
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room_data = data.frame()
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print(paste("Currently simulating r =", r))
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for (i in 1:repetitions) {
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simulation = simulateRoom(r)
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## Summary Statistics
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variance = var(simulation)
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skewness_ = skewness(simulation)
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range_data = range(simulation)
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room_data_temp = data.frame(i, mean(simulation), median(simulation), variance, range_data[2] - range_data[1], skewness_)
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names(room_data_temp) = c("Trial", "Mean", "Median", "Variance", "Range", "Skewness")
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room_data = rbind(room_data, room_data_temp)
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median_stepcount = c(median_stepcount, median(simulation))
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mean_stepcount = c(mean_stepcount, mean(simulation))
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variance_stepcount = c(variance_stepcount, variance)
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range_stepcount = c(range_stepcount, range_data[2] - range_data[1])
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skewness_stepcount = c(skewness_stepcount, skewness_)
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simulation = data.frame(simulation)
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print(ggplot(simulation, aes(x = simulation)) +
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geom_histogram(color = 'black', fill = 'white') +
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xlab("Steps") +
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ylab("Count") +
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ggtitle(paste("Distribution of r =", r)) +
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theme_bw())
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}
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print(room_data)
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}
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## Show the probability distribution
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library(MASS)
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distribution = fitdistr(simulation$simulation, "geometric")
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probability_simulation = data.frame(simulation,
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rgeom(1:1000, distribution$estimate['prob']))
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names(probability_simulation) = c("simulation", "geometric")
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ggplot(data = probability_simulation, aes(x = simulation)) +
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geom_histogram(aes(y = ..density..), color = 'black', fill = 'white') +
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geom_density(aes(x = geometric), fill = '#0000AA', alpha = .5) +
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xlab("Steps") +
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ylab("Probability Density") +
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ggtitle("Probability Density Histogram with Geometric Overlay") +
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theme_bw()
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## Calculate QQ Plot of Geometric Distribution and Sample
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yquantiles = quantile(simulation$simulation, c(0.25, 0.75))
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xquantiles = qgeom(prob = distribution$estimate['prob'], c(0.25, 0.75))
|
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slope = diff(yquantiles) / diff(xquantiles)
|
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intercept = yquantiles[1] - slope * xquantiles[1]
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ggplot() + aes(sample=simulation$simulation) +
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stat_qq(distribution=qgeom, dparams = distribution$estimate['prob']) +
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geom_abline(intercept=intercept, slope=slope) +
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ggtitle("QQ Plot of Geometric Distribution") +
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xlab("Theoretical Quantiles") +
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ylab("Sample Quantiles") +
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theme_bw()
|
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|
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## Create a dataframe
|
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room_simulation_data = data.frame(as.vector(sapply(radii, function(x) { rep(x, repetitions)})), mean_stepcount, median_stepcount, range_stepcount, skewness_stepcount, variance_stepcount)
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names(room_simulation_data) = c("radii", "mean_stepcount", "median_stepcount", "range_stepcount", "skewness_stepcount", "variance_stepcount")
|
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######### ANALYSIS OF MEANS
|
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ggplot(room_simulation_data, aes(x = radii, y = mean_stepcount)) +
|
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geom_point(shape = 21, size = 2) +
|
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xlab("Radii") +
|
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ylab("Mean Steps") +
|
|
ggtitle("Radii vs Mean Steps") +
|
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theme_bw()
|
|
|
|
## Quadratic Regression of Means
|
|
quadratic_mean_model = lm(mean_stepcount ~ poly(radii, 2, raw = T), data = room_simulation_data)
|
|
quadratic_mean_model_summary = summary(quadratic_mean_model)
|
|
ggplot(room_simulation_data, aes(x = radii, y = mean_stepcount)) +
|
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geom_point(shape = 21, size = 2) +
|
|
geom_smooth(method = "lm", formula = y ~ poly(x, 2, raw = T), se = T) +
|
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xlab("Radii") +
|
|
ylab("Mean Steps") +
|
|
ggtitle("Radii vs Mean Steps") +
|
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theme_bw()
|
|
|
|
## Analysis of Quadratic Regression of Means
|
|
quadratic_mean_coefficients = as.vector(quadratic_mean_model$coefficients)
|
|
print(paste("The quadratic regression equation is: Mean Steps =", quadratic_mean_coefficients[1], "+", quadratic_mean_coefficients[2], "radii", quadratic_mean_coefficients[3], "radii^2"))
|
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print(paste(quadratic_mean_model_summary$adj.r.squared * 100, "% of the variation of the means is accounted for by the Quadratic Model", sep = ""))
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|
|
######### ANALYSIS OF MEDIANS
|
|
ggplot(room_simulation_data, aes(x = radii, y = median_stepcount)) +
|
|
geom_point(shape = 21, size = 2) +
|
|
xlab("Radii") +
|
|
ylab("Median Steps") +
|
|
ggtitle("Radii vs Median Steps") +
|
|
theme_bw()
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## Quadratic Regression of Medians
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quadratic_median_model = lm(median_stepcount ~ poly(radii, 2, raw = T), data = room_simulation_data)
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quadratic_median_model_summary = summary(quadratic_median_model)
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ggplot(room_simulation_data, aes(x = radii, y = median_stepcount)) +
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geom_point(shape = 21, size = 2) +
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geom_smooth(method = "lm", formula = y ~ poly(x, 2, raw = T), se = T) +
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xlab("Radii") +
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ylab("Median Steps") +
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ggtitle("Radii vs Median Steps") +
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theme_bw()
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## Analysis of Quadratic Regression of Medians
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quadratic_median_coefficients = as.vector(quadratic_median_model$coefficients)
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print(paste("The Quadratic Regression Equation is: Median Steps =", quadratic_median_coefficients[1], "+", quadratic_median_coefficients[2], "radii", quadratic_median_coefficients[3], "radii^2"))
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print(paste(quadratic_median_model_summary$adj.r.squared * 100, "% of the variation of the medians is accounted for by the Quadratic Model", sep = ""))
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######### ANALYSIS OF RANGES
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ggplot(room_simulation_data, aes(x = radii, y = range_stepcount)) +
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geom_point(shape = 21, size = 2) +
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xlab("Radii") +
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ylab("Range of Steps") +
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ggtitle("Radii vs Range Steps") +
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theme_bw()
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## Quadratic Regression of Ranges
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quadratic_range_model = lm(range_stepcount ~ poly(radii, 2, raw = T), data = room_simulation_data)
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quadratic_range_model_summary = summary(quadratic_range_model)
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ggplot(room_simulation_data, aes(x = radii, y = range_stepcount)) +
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geom_point(shape = 21, size = 2) +
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geom_smooth(method = "lm", formula = y ~ poly(x, 2, raw = T), se = T) +
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xlab("Radii") +
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ylab("Range of Steps") +
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ggtitle("Radii vs Range of Steps") +
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theme_bw()
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## Analysis of Quadratic Regression of Ranges
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quadratic_range_coefficients = as.vector(quadratic_range_model$coefficients)
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print(paste("The Quadratic Regression Equation is: Range of Steps =", quadratic_range_coefficients[1], "+", quadratic_range_coefficients[2], "radii", quadratic_range_coefficients[3], "radii^2"))
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print(paste(quadratic_range_model_summary$adj.r.squared * 100, "% of the variation of the ranges is accounted for by the Quadratic Model", sep = ""))
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######### ANALYSIS OF SKEWNESS
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ggplot(room_simulation_data, aes(x = radii, y = skewness_stepcount)) +
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geom_point(shape = 21, size = 2) +
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xlab("Radii") +
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ylab("Skewness") +
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ggtitle("Radii vs Skewness Steps") +
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theme_bw()
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######### ANALYSIS OF VARIANCES
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ggplot(room_simulation_data, aes(x = radii, y = variance_stepcount)) +
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geom_point(shape = 21, size = 2) +
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xlab("Radii") +
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ylab("Variance of Steps") +
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ggtitle("Radii vs Variance Steps") +
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theme_bw()
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## Cubic Regression of Variance
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cubic_variance_model = lm(variance_stepcount ~ poly(radii, 3, raw = T), data = room_simulation_data)
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cubic_variance_model_summary = summary(cubic_variance_model)
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ggplot(room_simulation_data, aes(x = radii, y = variance_stepcount)) +
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geom_point(shape = 21, size = 2) +
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geom_smooth(method = "lm", formula = y ~ poly(x, 3, raw = T), se = T) +
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xlab("Radii") +
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ylab("Variance of Steps") +
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ggtitle("Radii vs Variance of Steps") +
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theme_bw()
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|
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## Analysis of Cubic Regression
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cubic_variance_coefficients = as.vector(cubic_variance_model$coefficients)
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print(paste("The Cubic Regression Equation is: Variance of Steps =", cubic_variance_coefficients[1], "+", cubic_variance_coefficients[2], "radii", cubic_variance_coefficients[3], "radii^2", cubic_variance_coefficients[4], "radii^3"))
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print(paste(cubic_variance_model_summary$adj.r.squared * 100, "% of the variation of the variations is accounted for by the Cubic Model", sep = ""))</code></pre>
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