Package loading
library(pander)
library(gridExtra)
library(ggplot2)
library(SummarizedExperiment)
Introduction
The model used in this example is a three-way ANOVA with fixed effects. This document presents all the usual steps of the analysis, from importing the data to visualising the results. Details on the methods used and the package implementation can be found in the articles of Thiel, Féraud, and Govaerts (2017), Guisset, Martin, and Govaerts (2019) and Thiel et al. (2023).
Installation and loading of the limpca
package
limpca
can be installed from Bioconductor:
if (!requireNamespace("BiocManager", quietly = TRUE)) install.packages("BiocManager")
BiocManager::install("limpca")
And then loaded into your R session:
library("limpca")
Data import
In order to use the limpca core functions, the data need to be formatted as a list (informally called an lmpDataList) with the following elements: outcomes
(multivariate matrix), design
(data.frame) and formula
(character string).
The UCH
data set is already formatted appropriately and can be loaded from limpca
with the data
function.
data("UCH")
str(UCH)
List of 3
$ design :'data.frame': 34 obs. of 5 variables:
..$ Hippurate: Factor w/ 3 levels "0","1","2": 1 1 1 1 1 1 2 2 2 2 ...
..$ Citrate : Factor w/ 3 levels "0","2","4": 1 1 2 2 3 3 1 1 2 2 ...
..$ Dilution : Factor w/ 1 level "diluted": 1 1 1 1 1 1 1 1 1 1 ...
..$ Day : Factor w/ 2 levels "2","3": 1 1 1 1 1 1 1 1 1 1 ...
..$ Time : Factor w/ 2 levels "1","2": 1 2 1 2 1 2 1 2 1 2 ...
$ outcomes: num [1:34, 1:600] 0.0312 0.0581 0.027 0.0341 0.0406 ...
..- attr(*, "dimnames")=List of 2
.. ..$ : chr [1:34] "M2C00D2R1" "M2C00D2R2" "M2C02D2R1" "M2C02D2R2" ...
.. ..$ X1: chr [1:600] "9.9917004" "9.9753204" "9.9590624" "9.9427436" ...
$ formula : chr "outcomes ~ Hippurate + Citrate + Time + Hippurate:Citrate + Time:Hippurate + Time:Citrate + Hippurate:Citrate:Time"
Alternatively, the lmpDataList can be created with the function data2LmpDataList
:
UCH2 <- data2LmpDataList(outcomes = UCH$outcomes, design = UCH$design,
formula = UCH$formula)
| dim outcomes: 34x600
| formula: ~ Hippurate + Citrate + Time + Hippurate:Citrate + Time:Hippurate + Time:Citrate + Hippurate:Citrate:Time
| design variables (5):
* Hippurate (factor)
* Citrate (factor)
* Dilution (factor)
* Day (factor)
* Time (factor)
- or from a
SummarizedExperiment
:
se <- SummarizedExperiment(assays = list(counts = t(UCH$outcomes)),
colData = UCH$design, metadata = list(formula = UCH$formula))
UCH3 <- data2LmpDataList(se, assay_name = "counts")
| dim outcomes: 34x600
| formula: ~ Hippurate + Citrate + Time + Hippurate:Citrate + Time:Hippurate + Time:Citrate + Hippurate:Citrate:Time
| design variables (5):
* Hippurate (factor)
* Citrate (factor)
* Dilution (factor)
* Day (factor)
* Time (factor)
SummarizedExperiment
is a generic data container that stores rectangular matrices of experimental results. See Morgan et al. (2023) for more information.
Data exploration
The UCH (Urine-Citrate-Hippurate) data set is described in Thiel, Féraud, and Govaerts (2017) and Guisset, Martin, and Govaerts (2019) and is issued form a metabolomics experiment. In this experiment, 36 samples of a pool of rat urine samples were spiked with two molecules Citrate and Hippurate according to a \(3^2\) full factorial design in the quantities of these two molecules. The spiked samples were analyzed by 1H NMR at two different time after defrozing and over two different days. Two of the spectra where finally missing at the end of the experiment.
The UCH data set is a list containing 2 elements:
- an
outcomes
matrix with 34 observations of 600 response variables representing the spectra from the 1H NMR spectroscopy,
- a
design
matrix with 34 observations and 4 explanatory variables
A formula
with the general linear model to be estimated will be added to this list below.
For the purpose of this example, only 3 factors of interest will be studied : concentrations of Hippurate and Citrate and Time after defrozing.
Here are the limpca
functions that are available for data exploration.
Design
The design matrix contains the information about each observation for the four variables: Hippurate, Citrate, Day and Time. Only 3 of these variables are used in the model. The function plotDesign
is useful to visualise the design.
pander(head(UCH$design))
plotDesign(design = UCH$design, x = "Hippurate", y = "Citrate",
rows = "Time", title = "Design of the UCH dataset")
![](data:image/png;base64,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)
This plot confirms that the design is a full 3x3x2 factorial design replicated twice with 2 missing values. Hence, the design is not balanced.
Outcomes visualization
The 600 response (outcomes
) variables represent, for each observation, the intensities of the 1H NMR spectra. These spectra can be visualized by the plotLine
function.
plotLine
function
Here, annotations (cit_peaks
and hip_peaks
) are added to the ggplot
objects in order to highlight the Hippurate (green) and Citrate (red) peaks.
p1 <- plotLine(Y = UCH$outcomes, title = "H-NMR spectrum", rows = c(3),
xlab = "ppm", ylab = "Intensity")
cit_peaks <- annotate("rect", xmin = c(2.509), xmax = c(2.709),
ymin = -Inf, ymax = Inf, alpha = 0.2, fill = c("tomato"))
hip_peaks <- annotate("rect", xmin = c(7.458, 3.881), xmax = c(7.935,
4.041), ymin = -Inf, ymax = Inf, alpha = 0.2, fill = c("yellowgreen"))
p1 <- plotLine(Y = UCH$outcomes, title = "H-NMR spectrum", rows = c(3),
xlab = "ppm", ylab = "Intensity")
p1 + cit_peaks + hip_peaks
![](data:image/png;base64,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)
plotScatter
function
The plotScatter
function enables to visualize the values of two outcomes variables with different colors or markers for the values of the design factors. Here, it is used to show that the \(3^2\) factorial design can be recovered from the intensities of the Hippurate and Citrate peaks in the spectra.
# xy corresponds to citrate (453) and hippurate peaks (369)
plotScatter(Y = UCH$outcomes, xy = c(453, 369), design = UCH$design,
color = "Hippurate", shape = "Citrate")
![](data:image/png;base64,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)
# Or refering to the variables names (ppm values here)
plotScatter(Y = UCH$outcomes, xy = c("2.6092056", "3.9811536"),
design = UCH$design, color = "Hippurate", shape = "Citrate")
![](data:image/png;base64,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)
plotScatterM
function
The plotScatter
function allows to visualize the values of a series of outcomes variables with different colors or markers for the values of the design factors. Here, it is done for the 4 peaks of Hippurate and single peak of Citrate.
plotScatterM(Y = UCH$outcomes, cols = c(133, 145, 150, 369, 453),
design = UCH$design, varname.colorup = "Hippurate", varname.colordown = "Citrate")
![](data:image/png;base64,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)
plotMeans
function
The plotMeans
represents the mean values of a response variable for different levels of the design factors. Here we show the evolution of the Citrate peak height with respect to the three design factors of interest.
Note that the results of this function must be interpreted with caution for unbalanced designs because simple means are biased estimators of expected means.
plotMeans(Y = UCH$outcomes, design = UCH$design, cols = c(453),
x = c("Citrate"), w = c("Hippurate"), z = c("Time"), ylab = "Intensity",
title = c("Mean reponse for main Citrate peak"))
$`2.6092056`
![](data:image/png;base64,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)
PCA
The function pcaBySvd
is useful to compute a Principal Component Analysis (PCA) decomposition of the outcomes
matrix. Several functions can be applied to the output value of pcaBySvd
:
pcaScreePlot
to obtaine a scree plot
pcaLoading1dPlot
for the loading plots
pcaScorePlot
for the score plots
ResPCA <- pcaBySvd(UCH$outcomes)
pcaScreePlot(ResPCA, nPC = 6)
![](data:image/png;base64,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)
The score plots below indicate that all tree factors from the design affect the spectral profiles, which will be more clearly highlighted by ASCA and APCA.
pcaScorePlot(resPcaBySvd = ResPCA, axes = c(1, 2), title = "PCA scores plot: PC1 and PC2",
design = UCH$design, color = "Hippurate", shape = "Citrate",
points_labs_rn = FALSE)
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)
pcaScorePlot(resPcaBySvd = ResPCA, axes = c(1, 2), title = "PCA scores plot: PC1 and PC2",
design = UCH$design, color = "Time", shape = "Hippurate",
points_labs_rn = FALSE)
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)
pcaScorePlot(resPcaBySvd = ResPCA, axes = c(3, 4), title = "PCA scores plot: PC3 and PC4",
design = UCH$design, color = "Time", shape = "Citrate", points_labs_rn = FALSE)
![](data:image/png;base64,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)
In the first two loading plots, a mixture of Citrate and Hippurate peaks already appears but they are not separated.
p2 <- pcaLoading1dPlot(resPcaBySvd = ResPCA, axes = c(1, 2),
title = "PCA loadings plot UCH", xlab = "ppm", ylab = "Intensity")
p2 + hip_peaks + cit_peaks
![](data:image/png;base64,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)
Application of ASCA+ and APCA+
Here below, ASCA+ and APCA+ steps are illustrated on the UCH
data set. The following graph represents the steps of the methodology.
The next graph presents the functions available in limpca
for this purpose. They are all illustrated in the next sections.
Model estimation and effect matrix decomposition
Model matrix generation
The first step of ASCA+ is to build the (GLM) model matrix from the experimental design matrix and the model. Each factor is reencoded with multiple binary variables using contr.sum
coding. The size of the model matrix is 34xp with p being the total number of parameters in the ANOVA model for one response.
The function lmpModelMatrix
encodes the design matrix as a model matrix.
resLmpModelMatrix <- lmpModelMatrix(UCH)
pander::pander(head(resLmpModelMatrix$modelMatrix))
Model estimation and effect matrices decomposition
lmpEffectMatrices
is the used to estimate the linear model and decomposes the multivariate outcomes into effect matrices for every model term. This function calculates also type III effect contributions (in %) and generates a barpot
to visualise these contributions.
resLmpEffectMatrices <- lmpEffectMatrices(resLmpModelMatrix)
Effects importance
The contributions from each effect is outputted from lmpEffectMatrices
.
pander(resLmpEffectMatrices$variationPercentages)
resLmpEffectMatrices$varPercentagesPlot
![](data:image/png;base64,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)
Bootstrap tests and quantification of effects importance
lmpBootstrapTests
applies a parametric bootstrap test to determine whether an effect is significant or not. We recommend the user to choose first a small value of nboot
(e.g. nboot=100) to develop its code and increase it later on (e.g. nboot=1000) in order to get an accurate value for the p-values.
resLmpBootstrapTests <- lmpBootstrapTests(resLmpEffectMatrices = resLmpEffectMatrices,
nboot = 100)
# Print P-values
pander::pander(t(resLmpBootstrapTests$resultsTable))
ASCA/APCA/ASCA-E decomposition
The ASCA/APCA/ASCA-E decomposition enables to represent the information from the effect matrices in a space of reduced dimension through PCA. The function lmpPcaEffects
has a method argument to define which method to use, namely ASCA
, APCA
or ASCA-E
. Combined effects matrices can also be built and visualized by PCA.
ASCA
The ASCA method performs PCA on the pure effect matrices. Here a combined effect matrix Hippurate+Time+Hippurate:Time
is also built.
resASCA <- lmpPcaEffects(resLmpEffectMatrices = resLmpEffectMatrices,
method = "ASCA", combineEffects = list(c("Hippurate", "Time",
"Hippurate:Time")))
Contributions
The contribution of each principal component of the effects is calculated and reported in different tables and plots with the function lmpContributions
.
resLmpContributions <- lmpContributions(resASCA)
The tables are:
totalContribTable
: Table of the contribution of each effect to the total variance in percentage as outputted from lmpEffectMatrices
.
pander::pander(resLmpContributions$totalContribTable)
effectTable
: Table of the percentage of variance explained by each Principal Component in each model effect decomposition.
pander::pander(resLmpContributions$effectTable)
combinedEffectTable
: Equivalent of the previous effectTable
but for the combination of effects mentioned in lmpPcaEffects
, here for Hippurate+Time+Hippurate:Time
.
pander::pander(resLmpContributions$combinedEffectTable)
contribTable
: Table of the percentage of variance explained by each Principal Component of each effect reported to the percentage contribution of the given effect to the total variance. This table gives an overview of the importance of each PC regardless of the effects.
pander::pander(resLmpContributions$contribTable)
- Moreover
lmpContributions
also produces a barplot either with the ordered contributions per effect (plotTotal
) or across all the PCs of the different effects (plotContrib
).
pander("Ordered contributions per effect:")
Ordered contributions per effect:
resLmpContributions$plotTotal
![](data:image/png;base64,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)
pander("For each PC of the different effects:")
For each PC of the different effects:
resLmpContributions$plotContrib
![](data:image/png;base64,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)
In the following analysis, we will focus only on the first PC of the three main effects, the interaction Hippurate:Time
and the residuals since the other PCs and effects account for less than 1% of the total variance.
Scores and loadings Plots
The loadings can be represented either on a line plot with the function lmpLoading1dPlot
to conveniently compare them with the original spectral profiles or on a scatterplot with the function lmpLoading2dPlot
.
Here we create an object including the loading plots (as line plots) for all the effects included in the model as well as the combined effect and the residuals.
all_loadings_pl <- lmpLoading1dPlot(resASCA, effectNames = c("Hippurate",
"Citrate", "Time", "Hippurate:Time", "Hippurate+Time+Hippurate:Time",
"Residuals"), axes = 1, xlab = "ppm")
The score matrices are represented two components at a time on a scatterplot with the function lmpScorePlot
.
Main effects
The scores and loadings of the main effects included in the model are represented below.
They show that, thank to the ASCA analysis, Hippurate and Citrate peaks are clearly and separately retrieved in the respective loading plots compared to the classical PCA (see Section 4.3) where peaks of these two chemicals are both present in the two first PCs. The loading profile of the Time
effect shows a high peak on the left side of the removed water area.
# Hippurate
hip_scores_pl <- lmpScorePlot(resASCA, effectNames = "Hippurate",
color = "Hippurate", shape = "Hippurate")
hip_loadings_pl <- all_loadings_pl$Hippurate + hip_peaks
grid.arrange(hip_scores_pl, hip_loadings_pl, ncol = 2)
![](data:image/png;base64,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)
# Citrate
cit_scores_pl <- lmpScorePlot(resASCA, effectNames = "Citrate",
color = "Citrate", shape = "Citrate")
cit_loadings_pl <- all_loadings_pl$Citrate + cit_peaks
grid.arrange(cit_scores_pl, cit_loadings_pl, ncol = 2)
![](data:image/png;base64,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)
# Time
tim_scores_pl <- lmpScorePlot(resASCA, effectNames = "Time",
color = "Time", shape = "Time")
Warning in FUN(X[[i]], ...): The variance of PC2 is inferior to 1%. Graph
scaled
time_peaks <- annotate("rect", xmin = c(5.955364), xmax = c(6.155364),
ymin = -Inf, ymax = Inf, alpha = 0.2, fill = c("royalblue"))
tim_loadings_pl <- all_loadings_pl$Time + time_peaks
grid.arrange(tim_scores_pl, tim_loadings_pl, ncol = 2)
![](data:image/png;base64,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)
Interaction Hippurate:Time
The scores and loadings fot the interaction term is represented here. It is not straighforward to interpret the scores plot of such an interaction term but the loadings of PC1 indicate a shift in the spectrum, along the whole spectral profile (but mostly around 3 ppm).
# Hippurate:Time
hiptim_scores_pl <- lmpScorePlot(resASCA, effectNames = "Hippurate:Time",
color = "Hippurate", shape = "Time")
hiptim_loadings_pl <- all_loadings_pl$`Hippurate:Time` + time_peaks +
hip_peaks
grid.arrange(hiptim_scores_pl, hiptim_loadings_pl, ncol = 2)
![](data:image/png;base64,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)
Combination of effects Hippurate+Time+Hippurate:Time
The scores and the loadings of a combination of effects, in this case "Hippurate+Time+Hippurate:Time"
can also be visualised.
# Hippurate+Time+Hippurate:Time
hiptimInter_scores_pl <- lmpScorePlot(resASCA, effectNames = "Hippurate+Time+Hippurate:Time",
color = "Hippurate", shape = "Time")
hiptimInter_loadings_pl <- all_loadings_pl$`Hippurate:Time` +
time_peaks + hip_peaks
grid.arrange(hiptimInter_scores_pl, hiptimInter_loadings_pl,
ncol = 2)
![](data:image/png;base64,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)
However, note that a better graphical representation is possible with the function lmpEffectPlot
(see Section 7.1.4) to depict interaction terms or combinations of effects.
Model residuals
PCA on the model residuals can also be applied to spot outliers or an unexpected underlying structure of the data. The scores plot shows that the effect of Day
, which was excluded in our modeling step, could have been included as well as it spans the two first PCs of the residuals.
resid_scores_pl <- lmpScorePlot(resASCA, effectNames = "Residuals",
color = "Day", shape = "Day", drawShapes = "segment")
resid_loadings_pl <- all_loadings_pl$Residuals
grid.arrange(resid_scores_pl, resid_loadings_pl, ncol = 2)
![](data:image/png;base64,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)
Other graphs
Scores scatter plot
We can also represent the scores as a matrix of plots with lmpScoreScatterPlotM
. This graph has the advantage to compare more than 2 variables simultaneously. For example, the PC1 scores of Hippurate
and Citrate
clearly represent the orthogonal design of this experiment. The interaction Hippurate:Time
can also be clearly represented when comparing les PC1s of Hippurate
and the interaction term.
lmpScoreScatterPlotM(resASCA, PCdim = c(1, 1, 1, 1, 1, 1, 1,
2), modelAbbrev = TRUE, varname.colorup = "Citrate", varname.colordown = "Time",
varname.pchup = "Hippurate", varname.pchdown = "Time", title = "ASCA scores scatterplot matrix")
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAAK8CAIAAACWV9pBAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAgAElEQVR4nOydd0AURxfA3+517uDovSpixYZKEQFRLIglij2WKJbY86mxYRd7Yu81KkaNHRXsJSoqIqhgAaX3Xo6Da7vfH0uOy9HxEALz+4eZN29m3swtb2dnZ2YxkiQBgUAgEE0LvKENQCAQCITqQc4dgUAgmiDIuSMQCEQTBDl3BAKBaIIg545AIBBNEOTcEQgEogmCnDsAwI8//ohhGI7jSUlJFSoEBwePGDGiTZs2HA7HyMjI3d392LFjBEGU13zx4sXkyZPt7Ox4PJ6VlVX//v0DAgLqXC+ikTNhwgQMw0QiUUMb8q388MMPGIY1tBUIVYKcOxQXF1+7dg0ASJK8cOFCeYVNmzY5OTndunWrVatWkyZNcnBwePfunY+Pj5eXl0wmk6sRBLFy5UpnZ+fTp0+XlJR4eHhoa2s/ePBgyJAhP/74Yx3qRdScu3fvWllZXb16tQpJg9NQJjXCrkB8B5Bzh4CAAIFAMHDgQAA4f/68UmpYWJivr2/btm1jYmICAgIOHjx45cqVuLi4ESNGBAYG/vbbb3LNI0eObNiwoVOnTjExMZGRkVeuXAkNDf3w4YOjo6O/v//+/ftrVS+iVgiFwri4uKKioiokDU5DmVSTeo8ePYoeH5sYyLnDn3/+CQCrVq2ytbV99epVTEyMYuq9e/cIgli+fLmRkZFcyOPxjh49iuP4qVOnKEl2dvby5cstLCz+/vtvCwsLuWarVq0uXrxIp9P37t1bq3oblkblExsEpR4gSVIikXxnG4qLi79DLVRLdXR0TExMvkN1iO8H2bzJy8tjsViWlpYkSa5evRoANm3apKiwYMECADh16lT5vHv37t2zZw8V/vXXXwHgwIEDFdaycOFCLy+vjIyMmtdbIadOnXJwcNDU1NTR0XFxcQkKClJMzc7OnjFjRtu2bTU1Nd3d3Y8fP66Ymp+fP3fu3I4dO/J4PDs7u19//VUoFMpTJ0+ebGhoKJFI5syZw+PxDh48SJKkVCr18/NzcHDg8XiWlpZz5sxJSUmpuT2qtT8+Pn7ChAlt27Zls9lmZmYjRowIDw+nkvr27at4SWdlZZWXVNucCntAV1fXx8fn+PHj+vr6AGBubj5q1KivX7/Kc1ETbiUlJdV2coUmlcfHx0dTUzM4OLhVq1YAoKen98MPP6SlpWVkZEydOtXa2lpdXb13795v376tc+dU2FJvb2/KG0RERDCZTDc3N3nhYrG4Q4cO2traqampVf++iEZFc3fuJ06cAIBly5aRJPnu3TsA6NSpk6LC2bNnAcDAwODcuXPy/+HydOrUCQCys7NVVW95/Pz8AMDIyGjs2LEDBw5UU1PDcfzx48dUanx8vKWlJY1GGzBgwPTp062trQFg/vz5VGpaWlrLli0BoGfPntOmTevatSsAdOjQobCwkFKg/uFnzJihp6c3duzYZ8+eiUQiFxcXAOjWrdv06dPd3Nwo7xYfH18Te1Rrf2RkJI/HY7FYI0aMmDt3rpeXF51O19bWTk5OJkny9u3b8+bNA4Dp06efPHmypKSkvKTa5pTvAZIkdXV1W7RogWGYlZXVpEmTXFxcMAzT0tIKDQ2lcik696o7ubxJFfaSj48Pi8XS1tZ2cHBYvny5u7s7AHTu3Llt27YdO3ZctmwZNY9nZWUlkUjq1jkVtlTu3EmSXLNmDQDIb67UD3fmzJmqr09EY6O5O/d+/foBwLt376goNVz6+PGjXEEmk1HXPQCoq6sPGTJk165dkZGRSuVwOBwNDQ0V1lseXV3d1q1by53C5cuXAWDKlClUdMKECQBw+fJlKioWi52cnDAMi4qKIkly1qxZALBz5055aUuWLAGAdevWUdHJkyfTaDRbW1v5iHLnzp0AsH79enmWP/74AwBGjBhRE3tUa//cuXMB4ObNm/LS9u3bp/hERb0tVHRASpJqm1O+ByibAWDgwIHFxcWUhJpM69OnDxVVdO7VdnJ5I8vj4+MDAKNGjZLJZJTEzMwMAFxdXUUiESWh/PuHDx+oaG07p8KWKjp3kUhEDdUzMjKio6PZbPbgwYOrsBnROGnWzj09PZ1Go7Vr104uof4b16xZo6R57949Hx8fKysr+eOtlZXVb7/9Rv0HlpSUAEDr1q1VXq8csVhMp9OtrKzEYjElIQgiIiIiNjaWJMnMzEwcx+Ueh+LmzZvOzs53794Vi8VMJrNDhw4EQchTS0pKDA0NjY2NqejkyZMB4Pz583IFc3Nza2truYuhcHR0ZDKZRUVFVdujWvtJknz8+PGZM2cUjbl165aiJ63WuVfdnAp7gCRJXV1dHMepG4ycQYMGAcDnz59JBedek06uuXN/8+aNXDJz5kwACAgIkEs2b94MAE+fPqWite2cCluq6NxJknzx4gWO4+PGjXN3d9fS0lKajkP8J6BDM+avv/6SyWTjxo2TS0aMGLFly5bz589T8+By+vTp06dPHwCIjY198ODB9evXAwMDFy5c+ObNmzNnzrBYLCaTmZaWpvJ65TAYjMGDB1+5cqVTp06jRo1ycXFxcHBo3749lfr582eCIHr37q2YxdPT09PTEwC+fPkiFovd3NwUFzKzWCwnJ6fLly8XFRVxuVxKSM0kAEBRUVFCQoKjoyM1UJXDZrPFYvHXr19tbW2rsEe19gMANaMiEomioqLi4uI+fvx47NixyuoqT02ao9QDcszNzannKjkDBgy4efNmVFSUjY2NXBgfH1/DTq4J1GidQlNTEwCoCR+52YrKdeuc8i1VxN7efv78+Tt27ACAU6dOKa4mQPxnaOi7S0PSs2fPyrpF/sJKKpUqDfcoIiIiqJdsr1+/JkmydevWAJCZmVlhRVeuXPH29pYPvmpSb3mEQuHatWtbtGhBaaqpqY0bN46aV/X39weAo0ePVpjx0aNHALBhwwYl+ezZs+GfESg1misoKKCSIiMjq7hmnj9/XrU9qrWfJMmioiIfHx8OhwMAdDrdxsbGy8sLajxyr0lzlHqAQldX18HBQckYakJp3759pMLIvSadXPORu+KEydKlSwHg06dPcgk1xSQfude2cypsqdLInSTJ6OhoAOByufn5+VUYjGi0NN+lkImJic+fPzc0NFzwb5ydneGfhecEQaipqTk6OpbP3r59e+r/kHIc1Li+suXqZ8+evXjxopaWVg3rrRAOh7Nq1aqvX79+/vz52LFj3bt3P3v27IABA0iSNDAwAICsrKwKMxobGwNAenq6kpySKA7KcLz0eqAKnD17doUXDdUhVdijWvsBYPjw4ceOHVuwYMG7d+9KSko+f/7s6+tbmXJ5atIcpR5Q6iVFqEc0Q0NDRWHNO1nl1K1zyrdUiYULF1JzVsuWLVORpYjvS73dNho7W7duBYClS5cqyV+8eAEALVq0oKLt27fncDgJCQnlS6BGbSEhISRJxsfHc7lcIyMjpQERSZIxMTFsNpvL5VIvxGpYrxLR0dG+vr4PHz5UFHp4eABAfHx8YmIiACi99QoMDKTT6QcPHhSLxQwGo2PHjoqpIpHIxMTE0NCQilKjOYFAIFfQ0dHp1q2bkhnbtm1btWpVtfao1v68vDw6nS5/80lx584dqM2ce9XNqbAHyH/m3L98+aIoHDZsGABERESQ/55zr7aT62PkXofOqbClSiP3M2fOAMDvv//u7e2NYRi1ogbx36L5jtyp6dexY8cqye3t7S0sLGJiYl6/fg0Ac+bMKS4uHjZs2KdPnxTVrl69eu7cOWtr6y5dugCAubn56tWrU1NTHRwcPn/+LFf7+vVr7969S0pKNm7cyGQya16vEjiOb9iwYfXq1fKtNBKJJDc3l8ViGRoampqaDho06MaNG0FBQVSqVCrdtm2bTCZzc3NjMBhTpkx59+4dtYiCYt26dcnJyT///HNl/TNz5szXr19v3LhRLjl16tTixYu/fPlSrT2qtV8mk0ml0ry8PHlpOTk5GzZsAACl433EYrFSvXJJ1c2pAoIg5s+fLz895tKlS9euXevZs6fSC4aad3J5I7+Fb+mcykhPT58/f76dnd28efN27dqlrq4+bdo01ZqN+B409N2lYaA8teJ6FUUWL14MAAsXLiRJUiaTUSMdJpPZqVOnESNGDB06tE2bNgCgoaFBDd8oJBIJNezCMKxNmzbDhw+n1ABg1KhR1CKKmtdbniFDhgCAtbX19OnTx4wZQ/nQlStXUqkfP37U19en0WheXl6zZ89u164dAPzyyy9UakpKiqWlJQC4ubnNmjXL3t4eADp27CgfvpUfzRUUFHTo0AEA7OzsZs2aNXToUBqNZmJikpSUVBN7VGt///79AcDR0XH58uXTp0/X1dWl5sE6dux448YN8p+xardu3davX0+tflGSVNucykbupqam2tra1tbWU6dO7du3L4ZhfD7/5cuXlILiUshqO7m8keWpw5x7bTun2pH78OHDaTSafC0/tbl67dq1lf2yiMZJM3Xu1DYNxVXPilBjZzMzM/mytuvXrw8bNszY2JjJZBoYGNjb269cubLC16f37t3z9vZu164dh8OxtramBqR1rleRgoKC1atXt23blsvl6urq9uzZ09/fX1EzJSVl0qRJrVq14vF4Xbt2PXLkiGJqXl7e7NmzbW1tuVxu165dly5dKl+7TVbi2oqLi5csWdK1a1c1NTVra+uff/5ZcUlctfao0P7s7OyZM2eamppqaGj06tXrjz/+IEly1qxZfD7fx8eHMnXChAk6Ojra2to5OTmVSapoTmXO3c3NLTo6eujQodQThre3d3R0tFxBaYdq1Z1c3qTy1MG517Zzqnbu586dUxphyGSyHj16sFgs+cp6xH8CjKzk9RcCgdDT0+vQocPDhw8b2hAEotY03zl3BAKBaMIg545AIBBNEOTcEYhK0dfX19bWbmgrEIi6gObcEQgEogmCRu4IBALRBEHOHYFAIJogyLkjEAhEEwQ5dwQCgWiCIOeOQCAQTRDk3BEIBKIJgpw7AoFANEGQc0cgEIgmCHLuCAQC0QRBzh2BQCCaIMi5IxAIRBMEOXcEAoFogiDnjkAgEE0Q5NwRCASiCYKcOwKBQDRBkHNHIBCIJghy7k0fgiAa2oT6QoVNa/BeanADEE2M5uXc//e//1laWpqamq5fv75WGYuKijw8POrJqm/hzz//bNOmjY2NzcmTJytUWLFixcKFC1VS4MuXL3v06GFqarpo0aK62lsLVNg0lfeSyvkWA3bv3t2mTRtjY+MZM2ZIpVLVGob4D0M2GwIDA3v27CkSibKzs42MjMLCwmqY8ejRo46Ojp07d65X8+pARkaGhYVFWlpaZmampaVlcnKyksLjx4/5fP6CBQu+vcCioiIrK6vo6Oji4mJ7e/uQkBCVNaOWllDUvGkq7yWV8y0GPH/+3NraOjs7Oy8vr1evXocOHVK5eYj/KM1o5K6hobF69Womk6mtrW1jY1NcXFzDjHp6et7e3vVqW924detW//79DQwMdHV1Bw8eHBAQoJian5//66+/1mqUXUWBN27ccHFxsba2ZrPZT5486dSpk8qaUUtLoJZNU3kvqZZvNCA1NXX69Ona2tp8Pt/Lyys2Nla15iH+uzQj5+7k5OTh4XH27Fl3d3czMzN7e/saZhwyZMigQYPq1ba6kZycbGZmRoXNzMxSUlIUU2fNmrV69Wo9PT2VFBgXF1dQUNClSxdjY+PZs2d/s+11twRq2TSV95Jq+UYDhg8fvnjxYgBITU09derUkCFDVGod4j9ME3fux44dc3R0dHR0zMzMpCSurq4+Pj6hoaGhoaENa1vdUGwRQRAYhsmTZDKZPHzmzBlNTc2BAwfWqvAqChQKhW/evAkICPj06dPXr18PHz78DY2omHpqmsp76RtRbKaqDDh+/Lizs7Ofn5+jo6NKjEQ0AegNbUD9MnXq1KlTp1LhmzdvGhoa2tnZjRs3Ljw8/NatW927d29Y8+qAYouMjY1DQkKocHJycuvWreVq58+ff/v27Z07d/Lz88VicX5+/vHjx6stvIoCDQwMPDw8TE1NAcDLyysiIkJVLZJTT01TeS99I4rN/HYDCIIYP368VCoNDg7W19evB3sR/1kaetL/+3H48GFPT8+ioqLc3Nxu3bqdO3eu5nk/ffrUCF+opqWlWVhY5OXlFRQUtGzZMjExkSCIL1++SKVSuc7Bgwdr/qauigLj4uIsLCwSEhLy8vJ69ux56tSp+mlT9ZbIdWrYNJX3Un1QZwMuXLjg6empcnsQTYAmPnJXZMqUKWFhYe3btycIYuzYsaNGjWpoi74VAwMDPz8/Nzc3kiR9fX1NTU2Lioqsra3T0tIMDAxUW6CFhcW6det69+4tlUpHjx79448/qrw5NbSktk1TeS81Kv7+++8HDx5oaWlR0Z9//nnjxo0NaxKikYCRJNnQNiAQCARCxTTxF6oIBALRPEHOHYFAIJogyLkjEAhEEwQ5dwQCgWiCIOeOQCAQTRDk3BEIBKIJgpw7AoFANEGakXOXSCRFRUWKUaFQWFlULBYrRRVPkVSKikSimp8xWX/k5eUpRkmSzM/PV5QQBFFYWKgoUeoTABCJRCUlJYqS4uJisVisamNrQfmGQCV9XlhYqHh0DIVSt1Qh/P4UFBRUuNEkPz+/MnmF5VQmRzRnmpFzP378+K+//iqPHjlyZOnSpfLooUOHli9fLo8ePHjQ19dXHt23b9+qVavk0T179qxZs0Ye3b1797p16+rJ7BoSGhrav39/Rcm9e/fGjBmjKLl48eKMGTMUJceOHVuyZImi5Pfff/fz81OUrF69eu/evaq2txaUbwhU0uczZ868ePGiktDJySkqKkpRUlxcLD8nsmEZP358UFBQefno0aPv379fXj58+PDHjx+Xlw8ePPj58+eqtw/xX6YZOXeRSKQ4Aq2/aINQ3gZVScRisUgkUrW9taDC7q1QWKGp5YVSqbQxPGlB5X2rKjmiOdOMnDsCgUA0H5BzRyAQiCYIcu4IBALRBEHOHYFAIJogDXnk765du1JTU+u1ij59+nh4eABARETEtGnTYmJiWrRoQSWlpqaWlJRYWVmVjx7qEWvKEZEk0Gg4ANxK1Vz2QCoWiy0tLSnl5ORkqVRqYWEhj/J4vJEjR65YsYLJZALA77//npGRUa9N69evn7u7OwCEh4efO3fuXcm7OOs4BoMBAJaY2Fgm9YvPJggZnU5/kqa+6aMRAGRlZeXk5NjY2MgLSUtLEwqF8j4BgKSkJIIgzM3N5ZK4uDhzc/Nnz57R6XQA2LZtW3Z2tjxVpP5VxCv7KildxFPL6VK15QS9RKDzGvB/LjwCV8vsQifU5Aqenp4uLi4AEBoa+tdff0VGRj558qRdu3ZSa6m0tRQAuDjRlSkwLRD3yiYBoJjAVocbSwGPiorS0tKivkfqol84zDQPANJFhU/b6GYDI7yEAwAgA8Ydxuvg19TSKQ6H4+vrS6PRAGDz5s0VLpHM5GbG6cQBAF+GGxJCDQm9e74GAIgIFhsTkRjkMaSh6gUyHP9C5wAmY0gZnVM6V9h2Ly8vZ2dnAAgJCbl06dKJEyc0NTW1tbWV1D58+GBsbKypqakkj4yMNDU15fP5SvKIiIh+/fpZduQK+V/k3xSky9i7frlHRf38/JRWwdYNoXaYlCWQR1kCY1ZhSyo8dOhQ9JG/RkVDfqxj9erVP/74I4/Hq6fyw8LC0tLSKOd++/bt1J6/qjnjqTgOGG70eIOmpqZUKpUra2pqypdId9QqJgCkBGBAMHDwNsveqmWpuIBaW1ubigqHCwl9gi/jAwbn085PTZtKucXwzEs00xIAyGCJzIv4/LReKmnR+5Y3NKV0powGAH9dS6Oce2Bg4P379/EpOE2NRsgIACAI8imLXaiGG0lkDJrM0yyPcu4aGhrUvUex1VwuV1Gira1N3e+zu/mIuYYYIWP3IpOzk7KysgwNDQFg+fLlc+bMYbFYlH4BPzaHKdIUMwFATJPlcvM7VufcReox7/l51sLSEj5piOyLU+kFpT7i1atXAoGAcu43bty4WNSa3bqztuWoVK4W32gFySVBANp0iZSO3dXkjRJmAYAlT3JBS/Q2l2NoaCg3bHKLLCteSVoxI8mA+1SH7S4UhtKZAEBqkaIezubOKwOhBACS/747Jy9PR0eHIIhly5YtXLiQuocpEqMTk8PJUZOqWcqkMkbJfQ2sXz5wMZEpPZOLlbyRWX9QE0VoFLsUF33BTIQMsYAraJvRliVlKZUTHBwsEoko5379+vUnT57Y2NhUuG7H2NhY6XepWm5qaqqvry/kv/2kXiDESW0pEBiWSc8XCATq6uoikShadAMzFQNACrukVYEuL6OOXvirVrL8CsxjiLVoIv3ClgDw9OlTkiSRc29cNMwHoEiSJEk+n5+SklJ/5e/fv3/SpElUePv27T///DNJkh+T8yyW3Kgm52oNMnBJaXhLC3KDfmWKYwPGdvyjIxXW1dWNj4+nwmpqapmZmSRJTtvbY/Ye529oxL/wPNxh158LSZLcuXPntGnTKOHGjRvnz58/+MrgTn90ktvf4WSH9+nvSZIkd9iS67TrUNfAnU9aLLtJhTU0NFJTU6kwnU6ntthQTNnbbe4eFyq85/zigUfaV1vy1tMzBx8uU+t/pP2+v5aXpW7dOnv2bCq8Zs2axYsXkyQZmVJgueTGkCtD5j+cT5IkeX/9i98s7U7bleZZo0nGBytXc8iNPOlFkqT/R3+nP7qQa7UocZdTXSaePWXvd5eKcjicrKwskiSpu3VxcXF5g6cETRkTMIYkyTsr3W8eGGd70pYkyeP7NiavbvFxZQeSJFc+W+nxl0fy6panTuwnSbLDyQ6ZxZnly/Hz85N/S8/X13f58uXldb6FOXtcvA/aTtzXhSTJZ++Cup1oT22SonalUZ8VnLS364I9fepchfwKJEly3h7XKXtLf4LVq1f/+uuv39oAhEpBc+4IBALRBGlG31DNBc1XcTkJOYLqVQGgMBningMAEJKqFQkg3mS8AQC6bllnauqrRca80sjkyUB5N/w3IijODfv4RECk43gFN2bKEn0GAwBoKW9BWACSkvJqNYQgyVdxOQAAmoZVqElBFvbxCQAIhLk1LRmAygIAVb/zKQJ2Yq4wvaB07kIkESULkumyIgEATpKQG19VZmkJ5MbTinIwIPJoeJEgGQBIIAFARkBirhAAcHYFsxzlERGiZEFyMY0USgowDqTEfcbFhQCAY2RK3GdxQaFMLC7CSQEpSBYk16TAeoIEkGLE5fuHU3JjFDvWwFgz/PMzHAMCI6vp8eqgrkAAkJJSwL6pKES90oyce7BGz+CDwTXTxSDyOkReL42xld9fydHj6kE2TAqcBAA6i3Tk8kGzred8XAIAwAOPQq0626wEm4Q/8Vd/vnoF2uCi3kkxSZutHZsfS1kCpkYAYHJ9DhAEAACDU4e69DWYH1Jh1MFgANAaubkyNSbJ+Fs9/+9XswEAMLCRVf8sqKthnCiFiVQWABoddPnGlSnfxO1vbnkIAHQazmVwn6Y8HXBpAACADq+7sBB2dQQAwDDgKL+TBI4mfH0Auzp2YTIKTYx6mRoBlRHASF3nsUDUa8tDAOAPXVmtwVpsrVdprwZcGgCWAJBpJpEan+wxCSAGTFtiybSTPfpz1W7q6w63UAM4tf/SKQwwNs6utliVQwfWZzYJIHuXtAcA1BSc+JDFNpNDZgMAcMGruO5vucquQADQgJ4FpUVdvnz5/fv3W7duVVTmcDipqanlX/8ivg/NyLl7Ftzcv39/jVTX1PRUqV29d8nDenp64FEa9l/9Lj4+XldXt3YmVsel6e9L6921KzI/UjHp5ICTqq3r5E/28jCfz4dFnytUOzCn1kea/DRk5U9QvUulGEU8VnAZA2tRzYQr1F8bgLflEjd7lQbU1NRg+/iqS9ruun276/bycvkao94A72thWX2xY84dxSidTgfv0vCRX15JpVJqUdC3IL8CldDW1ra3t3/x4sU3lo9QIWjOHYFAIJogyLkjEAhEEwQ5dwQCgWiCIOeOQCAQTRDk3BEIRAMglUoPHz68bNmy4OCyNWyKH8xBfCPIuSMQiAZg1qxZ/v7+WlpaPj4+16+XLjs+cOBAw1rVlGhGSyERCEQ9kZaW9vnzZ/mZZRQaGhoJCQmVrXMPCAj49OkTn8//8ccfe/Xq5ejoSJ34hlAVaOSOQCC+FUNDQzs7u5x/k56eXsUOJg0NDeo8H2Nj4+XLl8+aNes72tssQM4dgUCoADqdrvVv2OyqtunOmjXLwcFh27ZtADB16lQajTZo0CDqjDOESkDTMggEogGYP39+jx495F90OHv27MWLFxU/LYD4RpBzRyAQDYPi+e84jo8aNWrUqFENaE8To4GnZb5+/Tp27NgjR47cunVLJQXm5OTEx1d5UiACgUA0AxrFnPu0adM8PT3rkFHx60gUYWFh586dU4VRCAQC8R+mUUzL7Nu3z9TU9MWLF2/evJFIJHw+/8yZMxs2bFCMHj161NraetCgQWvXru3bt29ERERISIhUKt28efPEiRM5HI6BgcHhw4ePHz8eHR3dt2/fdevWRUdHSyTVnMaOQCAQTZKGHLkXFRUtWLBAUeLk5PTgwQN7e/tTp06VjypBo9FOnjyZkZGxfv36a9eu5ebmxsfHT5kyZcSIEUFBQePGjZs7d66GhsZ3agwC0YxJT08PDQ3V/jeGhoYFBQUNbVrzpSFH7lwud+fOnfv27ZNLevbsCQBOTk5Xr15lsViKUQsLC0qHoD5AAUB9aFhdXX3jxo1qampRUVHyD15/+fIlPDw8NTVVJV98RyAQVaOvr8/lcu/evasopNFoaHTVgDSKOXc51GH/z58/t7KyUorS6fS8vDwAeP36NaXMZDIBYPfu3bNmzTp+/Lh8ERVJkq1btx42bNj48eMNDav6PhwCgVAJGIaVX+eOPINsVN8AACAASURBVHvD0rice3BwcO/evR89evTTTz8pRQcPHnz06NGePXtmZ2crZhk+fPjWrVu9vb3V1NSOHDliamp65cqVPn36XLx48fDhw5mZmQ3UFAQCgWhIGviFasuWLf/8808q/OLFi3Xr1tnZ2clTFaM8Hu/hw4fyJGrGBgB69erVq1cvxTJfvnwJAFeuXDlw4AAVRiAQiOZGIxq529jYKD7HKUW/HSlAVIagFhmyY6Ckph9TjcqPUpKkZMaViIW1qK7GpGTGE7i00mRBFuT9a6V/lqAkS1C7Xd3lm1PTjEnVf0xUKBQkp32tYYEEQI5QrCgRE+IC8T+v6QTVPZlJxSDMoYJZJVlKiZmVd4tykiATAARiQYm00iyl5UtL5DUCgFAsFYor/7FqQ4lY+PRdoPzFUt3IyktJy0ysc/Za/XaIhqVRLIWkoKZiKot+O3fUB935/TEG4ONstcKrXVWqISfh5gIAEjAAGgsWRQFbszJdz0ueiYJEADDcVDa//+PqThNfTma+ADuBxp6fn9Dpqunnm09O//Fh2xc2galj3XkdlZPz4mF3NyDEAAAYDsOPRuj0Hbr3qYwAAKBh8OcMxx6W2lVXMSFwQnhGOABggLXWaf2X1181tG3RvgEvOYmFOGYgBRda9xU/nSivIxQKFpzo84YrlAHZUoSNajFzlMfsqou9iLtcWndXjUXbM7ZrjxZq426Oiy2IBQArAj+cnGQolQLOgD6roedc5ZxSMRx1h7QIAPIvTe1NWuoSIOk4fUqHKXO7zJ15+s3tD2lAklre65Ty7X34Zee9aJmMwDBsTHfzjbAb3l/IxfEl+rov2CwSwIRncnbQWW12WU+ejDi5O2y3hJBwCXJhTu7IQgFw+GleZ4Zek6QXlACAMZ9zZbZTDXuyPFKpdNoh+1CemCSB9gZ6CNQOz6n1I+nHuNAtt2dEqkkAoF0xfaHb7i5tXWqevUQsnHe49xtukQyDFiLc23zK2IELqs+GaDga0ci9vukoCg9f099Em33kaWyeoMrhz80FwOLCgg8w8gzIRLC7a2WKix8tThQkTuowKWR8SMHFslVf725nX3a/tsLilyR24dJDXqpqwsmP27SkajcG3RyWO4AQMpST9zkBSOHHazA3DGhMuOzzw75nQGI35jkHzXPGMXzckWo+Tu//wT88I9zVxPX9pPeeVp6fsj/tDNtZE8N2nl3wmp00VmPY6x/D7Yn2QWTIk9fXy6stO+6VTRdutFlxd9gdfTH/TGz1h3f3IcI+bhjo2FJnxunQn+/9nCfOuz78enDb2fZFBRMsWsKqXHBeAPdWQfoH5Zznx0FePPz89P4E/22a3ANZee8nvZ/Xdd6Rd0dWBgbd/Zh2ZFK36I0DCx8fV8wUkVr4+52oBX1bfd04aOtI29jQQMn7KzDipHebziI17Zfxybf7HBTLxNPvTpdnic2P/f3N75M7TH5LszmYI9ikp3vBezfotSv6ayaLgYf49nm5vA9gMP5o3WcIFx8cEM4Tu+Xr3PUKdCjkhfCEKw9717aQ34NmYYD5u/5xzvU0naDtfFA717z0sFcmU+jXxvfhsEdGEv7ZpKO1NQDxnWmMzj00NNTExMTDw6N79+6enp7UQXEBAQGurq7du3f38PDIyMigNMPDw2v+lGoqTtZk05/+2gcAdj+ofNohIRQwgF8iQdME2g2GlgMVn7KV+Dv5b3WG+iK7RWw6WxhaNgnz7kWShhp/qPvUtlKLdDy9hhZWzdekT7Es0u/Hy8Z6Fhq4KRBMZQ1pEXQeD9ZuoNMCpv8NJMGSFS31bNfBmN/GmL91VEepjKy6irMfz9Iw2t6+ewFgs8tmBs649uVaTWyLyglpU6w+y9uPTqevm37eVEwLDK1g5J5Kz2mPtevnNEZX03j3z48yGfAw5ErVJetAIZuOH53YnSDJD1lRczvPtVK34n0I+IVtkU6UFEgF4O4Latrw9k/lnImvwHEuGHS4lnDHWKulvSAfsqN/av+TIc/wTswjZ2vdvm306TguzYxTzHQtPFWHx5zT2xrHwbur2UT2s6cMR2k7rwxh5oahf3HYGsaf7vk6+n7NK5uaCIgJ0GBqzOsyD08M6dx9bge9TgEJ92DidSPIOjRIR4/HNtBgbx/ZKTarqCY9WSFJ9AwdKbF73iNDXdODc4M5JBkvrfXcSCy72LPV5LZWdjZWXcZ1WRzNEVefR4F0enZ7snV/xzGamrp75/ydS4PA52V9XuE6dyMjo/z8/Nra2cghSXLnzp22trY8Hq9Dhw7Ufvhnz5717t0bAAiCmDBhQrWF1FDtG2lE0zKKeHp6HjlyBAB8fHwCAgKcnJy2bdsWGBjI5XL9/f1XrFhx6NChkJCQyZMnv379ulaTHiVSKQDo8VmVanC1gCShILV0KqY4A7BKdWk0mlha1T+JRFaCY5Xnrw18ngaQZHpGiq6mcSUqJBT8M62c9wUAJMBMzS295cRnVv8CgMVkkYKyGwABBItWeUcpgANNhJX1gxgnWLhaeTU64GJpMRXOyE2WYqCjYVCT8kukBEGSNJyWK84FAKBzBMIMkkGy6WwAAKkYWOrKeWgMKM4FAA6NIxILATBgaACASCqi40yBqOIxgRqTJpYS8mgRydYls+k4HcOwHFGOmVQCLH62MBtXGBVx6VwJIQEAoNGhJFcoFWqxtEAsoAORLSntvSyBGP+Gq4ABuAiXSaVSOp0uFAokGNDIWg/LmCSWk186zkjPTazR76oATmIiovQSyspLkWCgpV72bQ19fX02m33p0iXFLBwOp4rz3P+jrF+/Pigo6MKFC9bW1s+ePRszZoyZmZmtre2ePXsAgCTJq1evKupLJBIGQ/khu7xafdBInbscGo0mlUqvXLkyZcoULpcLAGPHjnVwcCgqKnr06FGtXi4FqzmtuPr+r5BEDIOfelpUqqfTAnA6HHSCzuMhOxZSQkGndWW6k9tM3v12t+dlz56mPfljy67j/mPbnQnalF4UE8ZJ6wvdam5kFehqGncQsjY8mNoj1D1J+hXUyr0G0DCDr0FwZjhwdOH9BaAx2Rz2iedxyQVCOobffJ/KY1fzcy/qtmjmnZmu510HWQ4KSgySEbI5nefUxDaX1qP3JB74377+Nvo93qbdL1Ajx/VfWl7NElq+Yn1eeXiUnoZ5SO59G6B3bF3NTHQE1uJKWPLvd6M0OYy+Fm6Hwg+RJGncouu1d2+7k3zmxxvw6ghIhGBX7g1Nh5EQchiYXB+23iRByl49g1bZ4VdfXs0T5f2v+9C1l9KXXX7n2FKP095dMdOYbqZHn8ePO/JiXA+LOx/SPpX0CWItgaszurIMVl4f50snP/GYu19vcTIuM/uHVj/sDds7MXDi1JYOyZF/xGppLmsxGg44fsKtZ16OW1zEkpHk9tufe1jpQkZN+rIC2tBsP2LhE47YmZMWX2hxMhbY6fWpbSEtSzRv51wv+CMTx/Fg4bPW4nK3wyppgVs/p39aeXiUgably6y7LXG6g21feSqGYSwWq8kf2JuRkbFjx46IiAgTExMAcHNzW7Vq1ePHj+l0+tKlSx8+fDh69GihUOji4rJjx47Vq1dbWFjEx8ffuHFj8+bN+/fvFwgEXbt2PXfu3MyZMym1J0+e3LlzZ+HChYWFhX369Dlw4AC1fUclNMZpGQAICgoaOHCgk5NTdnb20KFDExISzMzMqCQcx1u2bKmurr5kyRJLS8ual5lH0/J/kQCAn5jcnV31YH9mMNDUIOwMJDwFHWuY86oyxWmdpw2yGpRcmHzu0zmmddmvom3KvF18Owr70kvaxnfqyZobWTVrh5/jS9XuCe5+VY+ll//t5oaDhhl8uQ8R54GtDnNfP1vSR4fHvB2ZfvN9qjaX+XRpNR7BychpRqcZeeK8059P5whzJrSZ4NWiRi8MRnnMHs7xSKGlXc2/UkQrmWkxx8bUtrzaxpmXuolaRJAfbxcGsaVM3wHHqi05GjNecvEdl0W/Ptd5Y6+N/S37H3t/bG3MZaZ2i31ZuXB5BuQnwsRrwCv3hbaBm6HrRHhxoNWDbTsk6le0DZY9WxadF73Xfe+kbna+Xm0D36ctvBBGN22vmMmIzzo5uUdcdtEvF8Kef82a4e2Je/0GUXcPRYXbi2XzjQz3fDjRy6TXjt475Fm02dpHBxxNF6b/UvzpnJbu/qx8uyd7QMPEZu41OwutTYEft93+7GStc2Jy3e/xq6ad7lNkksyS3uPG5jKIQcVt54zaWttCtky6aSHWfi5+/rT4mYlYa+vUwFplXz/jYg+JdSR8DMwP5JDMFe7Ncc49NDS0ffv2lGenmDVrluJHvc+fP6+mpvbkyRMAePDggZ2d3fXr16OiojZt2vTs2bPU1FR1dfXTp0/L1dLS0saMGXPu3LmvX7+KRKKlSysYEtUdsuHg8/kpKSnl5a9fv/bx8VGU7Nq168SJE1RYJpMtXbqUCvft21cgEFRW/v79+ydNmkSFt2/f/vPPP6vC6krR1dWNj4+nwmpqapmZmfVX186dO6dNm0aFN27cOH/+/PqriyRJDQ2N1NRUKkyn0/Pz8+uvrq1bt86ePZsKr1mzZvHixfVXF0mSHA4nKyuLJEnqhNHi4uL6q8vPz2/BggVU2NfXd/ny5fVXF0mSNBqtoKCAJEnqrZVUKq2/ulxdXe3t7euv/EbC/v37vb29y8tfvHjh5uZGkqRUKuXxeCRJvn792tTUlEoVi8XZ2dkkSaalpY0YMWLNmjVytYMHD44YMYJSCw4OlmdRCY19WoZiyJAh48eP9/b25vF4165dS0ys+0JdBAKBqBtmZmbyT0dRJCcnBwcHy+cVFDE2Lns3tm7duosXL5qbmxMEYWtb9lCblJT04sWL7t27U1H5CVoq4b/h3C0tLRcsWNC/f38Wi0UdM9DQFiEQiG/Cw8MjK0t5WxkAhIWFfX9jakjXrl3fvn2bmJgo9+YnT54MDw9ftGhReWUcL504PXfu3OvXryMiIjQ1NdevXy8/+hAADAwMRo4cuWPHDgAoKiqKiqrj5sEKaYzO3c7Orrz7Hjly5MiRI5WESqfQIRCI/wpXr1718PDw9vYeNGhQQ9tSU4yNjefMmePt7X3ixIlWrVo9fPhw27ZtSmuEJBIJSf5rzXFWVpa+vj6fz8/IyDh79uyIESPkaoMGDerZs6ePj4+1tfWCBQtwHD906JCqrG2Mzh2BQPy3SE9P//Lli7b2v/Y/83i89+/fV7YaksvlTpkyRV9fv3XrSlejNULWr1/P5XKHDh2alpZmZWV18ODBPn36yM+wotFoLi4uXbp0OXasbLHAxIkTnz9/bmNjY2VlNXfuXD8/vzFjxlBq4eHhu3fv/uGHH/Ly8nr27HniRAW7Q+oMcu4IBOJbqXCdO5PJrHqdu4+PTz3bpXrodLqvr6+vr6+i0N7eXn6s4Z07d6hAcHAwFdDR0fnrr7JjPGbNmqWo5u3t7e1d6/3GNTK1PgqtA6mpqZMmTWKxWC1bttyxY0dhYeGcOXPy8vKsra1/++037N/7gLKzs3V0dCosJyEhwdzc/LuYjEAgSvnGde6ZmZl6euUWsyK+jcayzv3YsWPTp08PCAhITU198+bNuXPnOnbseP369aysrJCQEEXN06dPK36cLygoyMfHZ86cOQRBpKenV/hBPgQC0ZgZMmRIQ5vQBGkszn3q1KmDBg3KzMzMy8szMTExNzePjIxMTU1NTk42MCjboR4bG+vv76+Y8ebNm2vXruVwOElJSbt37547t9zpgAgEAtH8aCzO3cjIiCTJMWPG4DiuoaHRvXv30NDQ0aNH0+l0IyMjSkcmky1ZsmTjxo2KGVesWHH48GFnZ+eCggJzc/Omd5YFAtHk+S9Ovjd+GotzT0pKYrPZ9+/fd3R0vHbt2oYNGzZv3vzkyRN3d/czZ85QOps3b/bx8VGabTc0NFy7du3QoUOPHTs2bNiwSZMmTZw4MSYmpiEagUAg6sLUqVMb2oQmSGNx7lu2bHn8+DEACAQCHMclEgm1HZwgCIlEQukUFBTs2bNnypQpDx8+PHjwoGL2oKAgDw+PBw8eTJo0acWKFZcvX/7+TUAgEIjGQ2NZLfPLL7/89NNPmzZt0tHR8fPzc3Jymjx58u7du/l8/unTp1+9enXkyBFqZ1N8fLyvr+/MmTPleWUyWVBQ0M6dO3Nycv73v/+RJLlq1aqGawoC0ezIyMiIiYlp2bKlopDBYLx69Uq1H8tE1JzG4txbtGhBjdwpzMzM7t+/L4/26NGjR48eVNjCwuL06dOKeWk02s6dOwFAW1v75MmT38NcBAKhgK6uLovFUlrnzmAwkGdvQBqLc0cgEP9dcBxvDue5/7doLHPuCAQCgVAhyLkjEAhEEwQ5dwQCgWiCIOeOQCAQDcDjx49tbW2NjY0XLVpErfxWLci5IxAIxPdGLBaPGzdu7969UVFRT58+rY+tOWi1DAKB+FYqXOfOZDJfvHjRTE4EsVx6U0kSt7mqj5Dcv3/fysrK1dUVAGbPnu3v71/+Y0TfCHLuCATiW9HV1aXRaEq7TLhcbjPx7HUgISGhbdu2VLhNmzYJCQkqrwI5dwQC8a3gOM7lcu3s7BrakP8M2dnZPB6PCqurq2dnZ6u8CjTnjkAgEN8bLS0tgUBAhQUCgZaWlsqrQM4dgUA0PFOmTGloE74rVlZWUVFRVDg6OtrS0lLlVTSjaZlwTmePHU9WeLZxa61fvXZuItxcAOrG4LUTaLSqdY+/P/4s5RmrHUsu0TE3XH7hcGtjw4XDVHzJxqdGH7y2WCwlcNxYLnzF6ND/9yerh3RwstYun+VD1oedb3a20m61uNvi2lUWfQee7YFWfRRlBi1NF/vvb2dkNH/YpDq1oFK+Jn06ErBEjAGOW8iFXzDTlVcipru1MNNSAwApIT0WcSxflD+z00yNL4/g6wPoMh5Mu1dcIklC7GMoygKbATElGZFZkZ31O5upm1GJl94kh8bl0vUs5epMHbM1Nz53sdAZ3d0UAIJig16lvfrB+gdbPVsAAEIKf/8OxbngshjUyvVzxkdIfQvmDqBlCQAkkC9TX+aW5LqauarR1TILSvY++vpJpGcMmfIciSzhnMPbTBhxuSXxQ+xnOXf1/NYerBwcxzeemFIkyZsyeIONqa0KS/6aFL/j1gVeJ4uSl59rnosgiIULFypKLl++TE3Q79ixQ4XmfTeqfn1aHnd396lTp7579659+/ZHjhyZPn26yk1qRs49hWEC6YWTT4QcnmjXr51hVar5KbDLFoAEAPgUAEviqtCdeXfms5RnAMAfXfbuqMWwAXcSOt1JgCdf1l9btFIV5gMApGTGz7rxQwIHAw64pJUdyZRCM4KMwvFHg0/81F3p1vU++/24m+MAIDg1+EH8g8ARgTWtLPQE3FgAJEDck6sjysQtf/C6HW97Ox6exK6/9IvKmpac9nVukHeiGgZq0Dut7Mj+N1jLNy/jz4YkPFjoZqGjNvTq0ITCBAC4Fel/Nz6eQZLw5iSMPAXtKvpOW9BSeHkQAJ4ZtpzJKT042t/Tv6Nex0V/vb0YmgQAGm5l/1Rafaefe5107nXS/U/pVjZ3zn46CwAXoy/ucd/jauoKe7pBbmxpzyz+AkxeWUVRt+HsKAASAIPpj8C4y5ZXW/w/+gOAJd/yoJu/27anEhkJYDwIj5ZneiLs26vg6GO9L6AGL8J/XSEq6O84RlX9qYTP1h4XGG+AAW8Dxx70umJh1EolxcamJQw49FgiaQecduYDntU8I47jampq+/btW7RoEfX1VCaT2aZNG5VY9Z+AyWSeP39+4sSJQqFw+PDhY8ao/qdvjtMyWwKrG2I821Hq2QGgOBeq3F/wMu0lFcC5ZZ0ZR5aOwj7kW9XVzAo4d3t7AhOrLJUE2HTzk5LwQPgBeThJkFSLyp7tkveBs2mZOJ4cQAXe55rVorTq8L+9JZFRadNkBHnqRVyJtITy7ACQjRGfmAwAAJKEF/sqzvb2LPX3hixPLrsRcwMAbkemUVG6gptjW3ahAk8+ZwTGld4FCZL4I/IPEAtKPTsASIrhw/V/VfTuHAAAYAAA7/8CgGtfr1Epcflxe589l8hIqIg8/hcqkEvDboceq6z53w5JI6hAEhPzD9qsqmKP3r0mkZTeiZMlnWuV18/P7/r16zdu3DA3N58xYwafz58xY8aMGTNUZVvjx9nZOTw8PCoqavNmlf0iijRH526my6lGw6hjWRjDqp6W4dCrKo1Nz6+FZdVhadihaoUWempKEit+2d0Fx2vzc/PKHm5KpBWkc2iFtSitOswM2latYK3PY9PZOFbWBD35TZdfyW1GvXTmSl9adns25BoCgDqbUUVdaiw6n1n6HIYBZsw1BiYPMIXLQLd1hRUBAGgYA4CBWtmHf9sZVjoNyJUwy8pg6VSmplrM9FU2QLbWL2s4k5bX8t907NgxP7+q69/FxeX27dtnzpyZPXu2SCRSlVUIigaeltm3b5+6uno9Fa68gYIkAcNYmKxt2sMtWx5WnXcSzdhQlkJi2Au645MtW6rQdGA43Ne+TwAhThbLhea5p1L0B3No+b2ZyVuqzF5b3Fi6n3mZbAIIcdlvh5EkiWEsTGaZcn/LlvtKWXi6vCJ6EQDY5drV3BiarOccCGdDsQyjeV8U/jGvVG6efyZFx4tDz3VnpKm2aa5M7c8a2VwZRkjLPDgmEwGdaUYvSnjw55YH0I3TLZQfSgJpKzRWl+WQUJSDaZ+MspBWZIkR4dgXL+CSRdZF3czZJZmMTCOJUdqttC03tzjI1G7hFiKCVhT5EMCB0i94fY3fbSgTl/XEongxHdK000SYiC/jc4O5W55tsaO7u0kf4iQRQbcN9L8HcE9eEZtkDqC1NiZS4nCrO0/ypU+22DBs8tXzS2glbYvapty724JpHidWJ2VSOlE2hOex4lIyh7fBL+QwZC2FXGaBrWr7kyTL6sr5RLTsCgKcaCPQTUkjtkSorKIO6nmfStqxcEEHwZtfL1xQTGIymdWuc+fz+f7+/mfOnKmPhd7NHEzxCvjObNiwITExsV6rGDZs2MCBAwEgLCxM6ct8KkddXd3Pz4/FYgHA2rVrU1JS6rW6ESNG9OvXDwBCQkKOHj1ar3VpaGhs3LiRwWAAwMqVKzMyMuqvLgzDRo4c2adPHwB48eLFiRMn6q8uAODz+Zs2baLRaACwfPny+lhuLAfDsDFjxri5uQHAs2fPTp06VX91AYCWltbGjRtxHCdJcunSpXl5edXnqSsYho0fP75Xr151y56ZmUnNvCNUSEM6dwQCgQAAR0fH4ODghraiqdEc59wRCASiydOQc+7Hjx/PzMysXu8b6Nmzp7OzMwB8/vz56tWr9VoXg8GYO3cuNXdx9OjRen3AB4BevXo5OTkBwIcPHwICAuq1LiaTOW/ePGru4tChQ/X6gA8Abm5u9vb2APD+/ftbt27Va10sFmvevHnUq+b9+/cXFqryLXF53N3du3fvDgBv374NCgqq17o4HM7cuXMxDAOAvXv3FhUV1Wt1Hh4eXbt2rVteHx8f1RqDgG+ZlgkPDy8uLra3tw8NDb1161abNm1GjRpFXUk1xMTE8UbL0peQR20Xqau/rUI5NvZ/S1MHyqPbTP8yNz9ckSIeE7NoWZoHFdlh6Xrq1O8A8Ntvv/n7+1OT1PXE7t27P336ZG5uDgA2fjYs09I9TfwSvnOss0qquNX2FvnP+sR2ke3Obz0PAJs2bbp8+TJ9Gl3AFIBC9zvFOmmVaAHAM6tn+ax8HPDOyZ0NC6ta4F9CL7nf6j4GGEvKEtFFJJCusa68Et7OnTvj4uIMDQ0BQLOLZvvp7bkybtu0thwp50mLJ0KmkE7QRTQRRmKAAUPGIIDo/6U/EMrlJ2smhxuFq0nUhAwhAGAkxpKxSuglXZK7GBcYRxpGJvGTCAnh+MHx4M6DALB27dpbt2717t2byn7P5p6IVramAiMxz0/Vb/yJ0Yn5qP+xLE5C59TOJvkmVOy3335LS0vT0dEhCIJGoy1cuJBOpwNACaMk2CK4hF7CL+HTCFoWNwsAcBIHEgicsM62bp1RumCGAOJ2m9sERuAkTmIk9QM5xTt90f0iwSUWORYmBaV1BQcHd+3aldqks3Llyhv0G2xjtogmIjBCt0i3W1K3ypqQoZ4RYhqCAcaSsEoYJQDgHOfML1Z+V/nK7FUWN4vESADAAJPkS1799EpdXV0kErX+tbV619KVC2wpW0QXmeabdkzpCDUmmZ8cbhyOAQYkkBiJkRgOuJpErUV2i3it+KKMIiex0971e2teIKK+qePIfd26dQcPHrSxsTEzMwsNDR08ePD27dvDw8M3bdpU80I0NZ0AHlHhffvGAoytQpkg4K1bWfTs2RYAFS8OlUrhvbs8xpWHHBwc6mk9KcWxY2XrlOWenYbTxOpildQrJaQ3T5ceK0oCyRSXraLr2bNnjH5McUFx+MRwSmL7h+3cWXM76Hc4+O7gzbCbACAD2VvztycnnKyiigmBEyAD3kx6Qwc6AHQ81TGpS9LVoVcPHChbLG+2wKwACvIhv1XbVpv7bP7h2g+mPFMmnfk28+38rvPXPF/zcsJL+7P2thNtx7cZr1R+v0v9+uj0cTBy+O31b396/jn8+vD7E+67XXAbM3aMEddoYuBEAAAWyPCylYuurq7y3ut8ujOQZTsQSIzcuHkjXt3U4sTAiaDwAhjDMF0H3c29S8vcvXu3ovKGDRvYbDYADL8+XJgrBIBcTq6BmgEIYVOvTV4tvD5kfxh9Y3SKYcqV/12hsvz1+a/bL28bqhne9b4LAP0v9k8pSsnsmpmRnQEAuSa5fnP9zNXNAWDjxo2Kj6pSS6kASk8XSVdPbz2h9U/tf6qwCf0u9sOKsKdjn2owNdIF6X0v9c3plnNg0AEltVn3Z73NfMuj8257344tjO27ra88SXETRifT6fy4MAAAIABJREFUTn0t+255teXWvFo8FQ24NMBN0+156vNVDqs66nUccnWIk6lTXH7cW+ZbAABzeFtc1eAM8f2po3M/dOhQZGSklpaWu7v7qlWrxowZk5eX17lz58qce0hIyKVLl5SEGRnPoMZLe2u+RPu9u+LRdPU77VMTpERFq8RrT7awbJ4Hg5o+IYVlhNXcknRhOgNj0P+5Kpg0Zm5JboWaGGDxBfFlGYvSTbil41M6Tuez+PF58eVzFYoK2+m0o8LWWtaAwdfcr1T0fdb7attCkvLnllJySnJ02bpV58oX5WOAKebMLq5+xixTWHblCKVCAHAwLl0xiQFWIi2Rp8YVxDFwhvwXMVU3TSlKSSoo2y+WVJhEOfeq+ZD9obKkAnEBDadpMDUAwIBngGN4ZlHdL+w8cZ69sX1tL0uBRNBWp+3z1OcAYMW3wjG8UFIoISRyBSFTWGeTmicXL15cs2ZNampqt27djh07ZmpqWn2e2lDHF6p0Op06r9LHx4da/8RkMqvYI1PhR6TU1bsqKFRTY/y/fUVqaqWanMOh8jBBVHnMQL2Re7HUJ5IkqUZX3lhUNwx4BhhgcidClJ/1qIipHabKbwTV+kEXExcJKbkbfxcAnqc+F0lFXQ2VZ1HTz6dTgX4WZXNcPYx6RGRFFIgLACAsIyyrOMvN3K18+ZYalleir8hIGQAcDD+IA97JoBOVNNByIB2vZqhBx+nyeT9qwF5tiwDAim+ldE+Q32CqwNmkbCbNgGOAY/jWV1upKAmkPqdsX1Jvs95imVgkEwFApjDzbdZbAHAxc6FSjbhGHfWqn/3AABttM7qyVGstaykhDYwJBICTEScJkrAzqN3huqSElFdkwjP5/dXvfFbtTlq30LC49qV02+3R90cBQJOpyaFz9NVKu8KwoGH+1/6jxMTE+Pj4nDx5MjY21sjIaP78+Sqvoo4j9+HDh/fu3Xv16tXjxo0DgNDQ0FWrVlEryivEwcHBwcFBSfjbb1wwbQMAV3uHvjwCM2dWWh1BwKJF0Mo5dORTOwA43ik0ZxH4+1egWVICK1ZAp76hg+/ZAQCdnlaH1n076v1K5zfr8H9YBQycISZK31KI1cSKSXwGX0bKbP8oOxNKS00LAHoY9tjjtmfP2z2mXNNtrtuqLt/XwTcoNuh/j/5HDXU5dM4OV+VTnAShAr8NftZ61m5mbgCgRld7lPToUdIjANj8cjMATAqc5G7h7mTsVL78ne47h10dtvXlVgKIfW/3AUCnPzoBgCZLU09N7/KQy/vC98V/iGeIK94+asYz+5pfOtIngGDT2FU3h6KfZb/7CWUbu0gg3S3cq9Cn2NRrU2ut1m8y3wyzHnYt+tqX/C+BsYGBsYEAABj87va7XLObYTcLvkVcfpxi56/ssdLd1D1flN/fsj+PwStfPgB0S+nmPsw9VZCaJEj6se2P3QwrnXPf32d/7wu9f/371yV/LyGB5DK4m3pV8IjMY/AKRAUFogLKEvncIABgLEze/MeJjzEM29u7dvPju9x3eV3xEsvEvs98KcmjxEe2erbH+h+7G3f3wY0HOtnfaYdtI2VNuZvlmqp25z5//rxPnz7dunUDgAULFgwaVLtzx2pCHZ37jh07goKCuNzSGe20tLRhw4bV9tBOmawY232sc+fOHSSQVqUTxnGYMwdcXQEgFAB2EfCskkOK2GxYsAB69QJYFXrgwAF4+bJWJqmKtN1pS04usdK1cjFxMeIZqarYv8f+HZcf9zDxYfircDLnX6PR04NOR2REiKHU4xuoGZjwSudJ3MzdKhxHV8jTsU8DYgJufL3hbuY+uk0FY0lJjmS09WgNDQ15vamC0seot5lvEwsSXc1d22hVvMHdQM3g2bhnQTFBCYIEJ2MnHbYOAHDoHG22NgBY8a22u27f9mpbPFQwpQMAF4dcTC5KfpjwUCgTupu4W/Ita9IiTyvPHkY9wtLD3me972rYtaNOR6q6apncYfJkmAwA7mbuyYJkgUTwMOEhg84YajVUV+1fTwwBwwKCk4NfpL1opdOqi24Xdaa6BlPD06qal73GAuMJbSfUxBINpkboj6GnI0+/SHvhYeExzHpYhWpbXbb+0vWXdGE69VTnbOssf42VuCvxa/JXMSl+HP+Yx+INshrEY1Z8y6kMXbbu87HPr3+9nlCQ4GLmosfWAwAjnhEO+Li246LORxWTxbUqsJnzww8/yB36mzdv6uM7J3VfCjlgwAB5+BtvOwwGmFV3CJWra1kYx6GKrXB13SWnSsQpYp/WPrq61U8a1Ao1ulo7nXbtdNrterwrkohUSu2gX83JMzVkcIvBg1sMrqEyDrj8LiIPVK3v2aKOZ9vScbqFusXk9pNrm1GXreth4eFh4VG3euGfprXWal2ZgqOJo6OJY53LrwkT2k+Y0L6am4ERz0g+mBBnlz3bSQVSE64JjUaz7mhdZwNwwIe1rPi+gqgtXC6XGhyfOXNm1apV9bFQuxkd+YtAIBCNh5ycnJ9++iklJeXu3bvy76mqELRDFYFAIL43IpGoX79+rVq1evnyZX14dkAjdwQCgVABVb4+Lc+VK1d4PN727dvryRxAI3cEAoH4/rx+/frx48fYPxgZqWzZhRzk3BEIBOJ7s337dlKB1Cp27tSV7+Tc9+/fj5WDJEmxWFx9ZgQCgUDUku805z5jxoyxY5WPjtHR0WEymRXqIxAIBOJb+E7OnUajaWlpfZ+6EAgEAoHm3BEIBKIJgpw7AoFANEGaqXMPCAhwdXXt3r27h4dHRkbGkSNHbt26lZOTEx9f8akmAFB1KgKBQDQqmqNzT05O3rZt261bt0JCQiZPnrxixYpp06Z5enqGhYWdO3eO0il/RrFiKgKBQDRymuMO1StXrkyZMoU6tWfs2LEODg779u0zNTW9cOFCdHR0VlZWbm6uVCrdvHnzxIkTORyOgYHB4cOHjx8/Hh0d3bdv33Xr1pWUlBgbGx85coT6JBsCgUA0NprjyD0hIcHsn1MocRxv2bIlFZ4yZcqIESOsra1pNNrJkyczMjLWr19/7dq13Nzc+Ph4KjUoKGjcuHG3b99u3br1H3/80XCNQCAQTYGioqKjR4/WR8l1HHh6eHhkZWWVl4eFhZUXQuXfeieIGn1OSLWYmpomJibKDVixYoXSB66cnZ0BQF1dfePG/7N33gFRHG8f/+7u9aMXURAEwYodC1iw9x67aIxYY09+vrFFY4ndxBajQmLsMWqwRcVgiRoDiggqWEAUkd7rcXX3/ePOA+kgxZj5/DU7+8wzz+zBs7Mzz8xskEgk4eHharXuTLIXL16EhIRcvXoVgLOzc80aTiAQPjYWLlx4586d6dOnV7nmSjr3s2fP9u3bd/To0eXcyT0zM/Ply5eFMjmOqxXnPmzYMA8Pj9GjRxsYGJw7d+7Nmzd6585xHADt0qpdu3bNmTPH3d195MiR+rtNmjSxtbX18PA4evRo48aNa954AoHwAVLwHC4tj6eUfSzwmTNnAgMDq8eiyjp3qVTq6elZp06dJk1KPL6gIO7u7u7u7oUya2vM2t7eftGiRf379xcKhRKJxNvb28fHB0D9+vWXL1/erVu3Dh06APjkk082b968a9curczUqVOXL1/+ww8/bNiwwcfHp169epMmTap54wkEwsdBXFzc6tWrd+zYMWfOnOrQX3nfWh3fETXGmDFjxowZo7+cO3euNnG3wLF83bp16/buqU7au2fOnKkRGwkEwkcLx3FTp07dtm2bmVm5Dn2sBP/FCVUCgUCoXXbt2tWsWbO+fSt/9GOZEOdOIBAINU1gYOChQ4dMTU27desWHh5uamqalZVVtVV8EGHafn54+hQLFpQowLKYMAFz5uiOyT5/HidP4ujRYiTlckyZgi+/RKdO1WVtefjLg7HY4whQ4EvR+xt0mlk1eg8MROw9aNQLgU38PoXvquXY3hyyVN0lpX1zU6jTErNvVrLG+BDUaV4oj1JkgZWA5gGA30qEngYARS4UWeAoSC0wbBeaDCxeoc9MPDkDtRIMDxJz0AwYETxOw9wRALLiBSjHLtBRf+PERCiywHGgaUit8Pk/kLz7eXtjI/7ZCbUc4EDzYN0O0/wq2noAuLMTN7dCJYPUAlYtkBQG+m2XyLwxUl8Ab4MCKB4smiDqNlgVzBvB4zRMSjv3nQELRTYYIXISS5cEgBMT8fwSwAE02k3G0F3FyNz1ws0NkOuOBIr7UqK/s72/iNnRDHnpUKtA0ajfHh6nITIq3yN4y9lZeHgSYEHzIDEDxUercejzDRTZDGohMuKDojzTpwU5+tZ/PXz4cPz48U+fPq1yk2qz525lNYBbMC3Y3cVincuIUg9Vp2kMGACjlS7B7i7B7i6221xKCtIRidCtGwT/5xLs7uL6608sa1OmGUFBQTY2Nn379u3QocOgQYPkcjmK7E+glQwJCdHHRJZOqowFB1AMlDkI+LE8RcrFG3+wGgCgwOcKr6HFjpbITUWLceAAjgIHGNsBFJJDK1NXykusMcP+7vjWcm7b/OyZ7XiGe5yxrRFe3QaACD9wgJkTFFmQ1gHNwKYtfvNARmwxOi9+gTAfNBoAigYjQl4mGnRDRhTiQgDgR1d833ShbIsRLS/DtsCfIc8EBwDggJx4RPsXkfkJKjlAgwM4DjH3KvMQnl3A1W/QdhImnQLNQ+Q1ZCdAJUeDbpBYIdof2fFo0A312kKejYxovLgK9//D2CNQ5eLnIm/fd1nG/xkb6+PbOtjRAlsaQl5yx+3aajy7CCMbuC+DxBRBhxD0SzFiEX9CkQOKhrEdDOvWkVD6Ow4mFHISoVaCAmxckPwch4ZV7FFcXoLHp0HRsGgEngR5GaA4PL+Es59jY/3/w97m9KuKKSRUM7Xp3Hm8/I6DnV0ZwlOnvnNZZHP4fObNK3hVrsNABg0a5OfnFxgYaG1tfeHChaL7E7Ase/fu3QkTJigUivIoHODEAACrBs1DdkJ5ipSNPAscB44DAA5ZEBYWyElCs6EY5QUAtq4Ai1k3YVT26614Tk6C9v3BYVVXTp+9Z6AAAGRpuLpKl1W3FRgBrJzRdy0oGhNPQmiA4IPF6Hx6Ae2no6E7eEIsjoBGjp4rQPEA4PEpJD3VVsdDkfdWIWKDQQFa786x4IBnlwrLyDNAM7omaN+IWRU/7OauN+q2wcBNcOiOrLevK1kaWo5Gy7EAQPPxiRckFlBkQ2u9RommgzH7b+QkIiuxFN1iKHRFAMhScXVNiaIPjoBm8EUYei7F/8JBUfhnd/GSAikM62HhQ3x6vmC2qZh6+y7kwHEYdxgJD8tufkGenEXbz0Az6PIl/i8CGiXMnKCSIeQ4ABGUQwVF3q+EctC6devq6Lajdodl1OrsGqikQtIMw6jV6qL7E+Tm5v7111/l7Lbr4AAK4DhU1RcrW1btFMB7+yXOCAAK6rK6wKVVl/9epCnqnVvapqkLvOc0KtAFzl2heMVXrdGAL9aleQJwgDpPd6nIrYhxRbw/W9xbnOMKpAGVrCJVaNWqwOMDAKsGReUrVLyrSlPwUSgBgCcCOGgq8vxLES7409M8cJyulsrBqcA30L1Uyg+rhuDtXxctAChw6oJPmCnzlUyoWWqo575//36zIjCMVC+QmlpKaQC49G7P7MaNEiVPny54ZVge83x9fQcOHNi5c+fU1NThw4cX3Z/A0NBwyZIl9vb25dEG4OQTQOsPOQ0kFuUsVQYSM1DUW72QFB27EBjh8Uk8OAwAUTfBUTi/ADlJlaxu2C5ofToFrwKdvMV+Sp0J3ZfqstJfQWqJ+BAE7AU4XFqMvHS0mVyMTseeuLcXyc/BqrGzNXhChF/Rea52k2BgpZViQRVTtiBWLfJdk9bIRv0LywgM81+rDB8UdMP6FaL1RMTeR6A31HIYvv0GEpkgIwpRNwGAU+POTojNIDDQWgMrZ2TF46d+EBrDtEHZVWjbyhej56oSZZoOAavBz/2Q/AJ7OgFAmynFS6oUyE3G8bE4v6hgdvrbdygoCmILnJoEswo+DcfeCPQGx+LpBexsBYaP3DQIJHDsqb3vp2pfMYWEaqaGeu6enp5Fg36cnJyoPx60adPmxAlcPYD/+78Si7Msfv4ZExYEjR4NAF5euLYPPXsWIymX4/hxeH4VNGQI9u7dSxeIWy+FAQMGeHt76y+L7k+wcePG8ujR07ou99YzMmhbnJurHKYNkf5S69d4VBEPOD8YO5xxfr7ukmIRcQVAvleqEHad8dVLhPyKRv1WOLYf/TZ7d6B69ZGbBnUdITEHAJt2CPNBZjRoGgkh4IDgoxi0DZbFLd/95CccGox7PwEcsmLBCHFzIwRS1GkCmofF4Yj487CPb0ax3fCCtPsUEX7gVOAAcOCJ0aBLYZkWo/HgZ4ADB7BqGJc18Fd8RZOR8BCXl+LiYgjEsGyC9CiwCtzaBACmDZH1Bjc3AgAHCKQwaYDfZwAcDKww+VzpujeqPJctmgVGgIRQNB4AXslHTg7fg/hHiLmLH10AwKEHehT332LbEa9uQqPU/u556vxutUwN8ITQKAEOkVdh1hBT/qjYoxixD1lxiLqN55dAUWAEyHwN508wbA9Snm/b83Oyhh5dthZCzVFDzp3P5zds2LCku+PHl1GcpvH77/mXM2diZgnhJyIRfHwqYeA7FN2foKIa2v2seR0ZYVHX+n1NKcSCBwCgVu7cs/d5XFjhuwYW+DoRAOQ5EBlUQXViM7jNLZTHcmAtmkLydr5k+I8YXmDGWK0szUnRNKZeLk2sUb9E+iFQ1r75TQZiVUoZ1Q3ZhiHbyjapTAZtw6BtFVNSPuEcSGDZFADMSvzXyGf2baCsX7b7V+j+lf7KkMdLX6JLT/xdNva3LIZhwLK6cJeKQtP47A+guNZZNs2BFMgrthyhtvggQiE/NIruT1AZLe/jUN5Tc5V49spRzlZX1cMpj54qqatCSqrvp3//X5am33cwtvpaR6hSiHOHi4tLUfddaH8CLX5+lQqUJhAIhBqHrFAlEAiEjxDi3AkEAuEjpIYO6/hAyMzMnDp1qlwut7S03Lt3r0KhmDBhQnZ2docOHXbs2KGViY+PnzJlilAodHR03L59+6ZNm86fPw8gPT196NChW7duLao2OjrarsxVWAQCgVCDVLLnfvbsWbFYPHny5BPvUrXGVTkHDhzo3bv3pUuXHBwcTpw4sWvXrtGjR9+5cycuLu7xY93WED///PPMmTMvXLgQHx//4MGDZcuW+fv7+/v7d+rUadasWVoZX1/f6dOnz5s3j2XZxMTEw4cP116bCAQCoRhq6LCO58+f37xZzN5VNXwSk5ubm3YhkpmZmUgkioyMHDp0KICOHTvev3+/ZcuWAKZNm2ZiYpKcnJyRkWFjo4sQv3fvnoGBgZOTk/by4sWLa9as2bFjR0xMzP79+7/66qvi6yMQCIRaooYO63jz5k1QUFChTI7jNJoaXbLs6uoK4OLFiz4+PhcuXEhOTj548KCJicnJkyfHvw22r1evnkwmGz9+vEAgMDLSRXNv3759+/btej0rVqzYu3dv165ds7Ky7OzsjI2Na7IVBAKBUCZVEAqZnJxsaWlZukyfPn369Cm8SZ63tzefz39/AyrEF198kZ6efu7cOUNDwzlz5mzZsmXdunWdO3c2MTHRCsTExFhbW1+7dm3t2rXnzp2bMGFCamqqTCarW7euXkndunXXrFmj1bZ06dIpU6bU/IuKQCAQSqEKomWGDavg3qG1x+nTp3k83sGDB7V97Xv37vXq1euXX35JT0/v9HYD+M2bN2tHkHJycmiaBuDr69urV6+i2nx9ffv27Xv9+vUpU6asWLFCqXyPvZwIBAKhSvlvLWK6ceNGQEBAz549AXz++ef9+/efPn06y7Lt27d3dna+d++et7f3smXLpk6dunHjRnNz8/Xr1wO4ePHi119/XUiVRqPx9fXdsWNHWlral19+yXGcQEBW7hEIhA+FKnDu/6KTsvfs2VMo59SpU/p0x44dO3bsCKDQ3O/x48eLqmIYRhs9aWZmdvDgQQBljk0RCARCjVEFwzLTpk17fyUEAoFAqELIClUCgUD4CCHOnUAgED5CiHMnEAiEj5AaipY5cOCANvKkIBzHkfBBAoFAqA5qyLlPmDChR48ehTKdnJxI+CCBQCBUBzXk3MVicSnH7BEIBAKhaiFj7gQCgfARQpw7gUAgfIRUflgmJCQkLy+vU6dOQUFBly5datq06dixYymKqkLjCAQCgVA5KtlzX7t27aBBg5YtWzZlypQpU6bIZLJt27YtX768ctpYFomJZcjExpZ2Wc5bNQfNC4rJfpMuq3LFLIv7Uenp6gpMRJ8NiT0VVBMPJSVHeTsiRaZUly72KjXn3stUdfm28s+FKOBlqlJd9fv+J2fJ70Sm0DxR0Vsypfp2REqarApCuR7GZIbGZr6/HgAvknO8/375Ju29/qhCYzMfxlTentepsvL/doTapZI99/3794eFhZmamvbq1WvVqlXjx4/PyMho06bNxo0by6+EpnncgmnBgJdzkEYDL68SJVkWCxagZ090OekC4I++QaGh+O23YiTlcsyfj0GD4HLYxRW427B1hdtWFVh8tmfWiSfAEwATOtpu/KRVlahtvebPzDwVAMCuHT9en/+Q13TU3n/WDHduYf3OzvLXniRPOxIIcODw1amQ3R4uQ1rWRfmYe+zBpcfxHADAdPov+nyeoeWuv6JaNbAc1roegM9+uXczPBkAx+kEaIr6rIv9qiHNi+rMkav777gVl5GnlaUAUKCAU7M6u9ibZsnVP916FaowM8RrfZGLdKeLXgEABDw6/NuB5TS+dLxvv9pw8SkHDoD5DO/8phlZbr/64lmS7FZEMg1Kw3F9mtf56dMOeoFuW27EFHhht7E1fRSTwb5tOQXqm6HNp3S2116GxmaO9wrIVaoBykDIDGttE60ys0CyvvhLts7WK88bmEqiUnMnuNrZmkpKMlipZt02Xk3NVQFY/8fT+qbiv5cUs03pN+fDDvtH6X+I+v87o79lNWat0wrft3dgIOSdmOnawqYC5xDIlWzfHTf1rxbtb9e9seX349r88verF6ylDaLLr41QA1Sy587j8QwMDABMnz69W7duAAQCgXaD3PLTpo3Onc8Mcyn9pUDTWLFC59kBDPFzWbWqeEmRCF98AZfDOkm1unaONtVk6DwvRVF+T5OqSm1Wnlr/iPkalT7/Fc826HX6kN1/34tKKyg/82igkKFCvukfurq/kE8vOP6g/HW9SskFRa0a2nzV0ObZvvkHlRj3nf3TP28W/Ppg9pEHAOIy5O3sTCd1sqdparRLfQFDbxnV8uCdqIcx6UV1zjhyP0+l+WpgUyGP6dbIkmaoX2e40hQVmynPkas7rvfbdT38Zk7dPBTuTdOAUs1WVYfRJyhW69kBsDn53tZ84ML9f7++GZ7cztYkcuOgkzNdrz9NPhwQpRdIzVFMdrX/dYbrrzNcuzpZJGTmsSynvfx1hquhiPc6LVcv7HnovoOFwfN1A/2X9cpRqI/dfX07z1ZJ5x9g4M857bnx4iufRz/ejOyx5a9n8dklGTzzyIPUXNVsd4eoTYM/aWMTk5638lxoUbGo1Fwpn2cs4a8a2nxuL6eC/90c8l9B/Z2tHCwMPA/dr9BDm3EkMFuuFvDoOd0duzeuQ9O0SwPT16l5rhuu7b7+4m+l/Q3UTkeKUBKVdO6ffPJJz549/fz8Jk6caGNjExQUNGbMmIEDS+xYRUVFnSpCZmb+n5e5eRk1tmv3zqWzc4mSBitc9GmaTitRrjrh2ej6rRy4rLyqWaiVnCXnwOndGw+qwhIcVp0NK5ihYbmVQ5xNRDwDEW/7mLb6PmY5oSl4dnHw7OKgjnmkzxQ56B7v9ee6oTRTKf95YlYbWxM3RwsAo9vbmksF50LiiioMi8ua0rmBVMjQNI5M68iynFTI007T/P4gRq4q0Xdrb9yJqJpfMz4rT59mTG31aZF9G20iND4bQMeG5i1sjC4/TihYtoGZxLWhuWtDc3NDIQCA0l66NjQXMO/8NyVnybeObiXg0WdDYst88BqO23czsqS7QVGpfJpeOqg5gO/Ht6Eoyi8soVhJHkMZCHieXRw+aWtTMJ/mC3UpDjHp8u/GtkrKkpdh07uExmZ6dLKjQDW0kh7y7MByLAVk5qm0I2YckEQZVUghobqp5LDM9u3bfX19pVKp9jIhIWHEiBGenp4lyYeFhRXcXFeLkdFAwL9yBpRC21tBwe56/y6tcv0VhangB01JGErKHmevZyIslBPyJmOSqx2AgKhiutLvg4jH6NMmEkF4Yn7HM1epsTQoZixbzGdi0vNMpQJo31Uc6hrrDLY1K3FQQo+Nifh9jQYACBiaAkrxt2K+rmnpMlX9kkdLSoemqRdJOU3rGTYonwZr42KemM4eAS9HIVeqWQGPzpKrOXBG4sqv/pMKmPCEHIapWOyDWMDEZupeisk5cnAQ8Rn+2/cZBTClPVFCLVD5aJkBAwZoE8nJyYMHDy5dePDgwUVlmjf/Qu97ly/3t7d/XIqGwMCBcwpczp//vGXLYk7cBuDvP2xB/lV+Z/DJkydepYzrvzdyeX5XSJ32hmdmSwHgYABFVdVLwQZvvZKCV+CEQg4UBQHFuSlDvLxC9NkGTL3TQdG3H78EkKjkSXgovyWpqXVYlt9k2R8AJMPyR8Fygy8YtB3Ko9m+JoleXl5p6VbRyZmGPE2ykr/kdDDLwmXVWaWKp3p2wyv8WiGdzXmGp+/L7zx+macUdNpwjQduxNbLalZw/fq15lJZY4lZhEwMTsPQxXfhr587dr2c1peKodoiCUKtb9PkZujzs4MvG7UbyHHglLJPN5+IyhPGyAUDJFFeXrpPTJXKeqfvowNXQwCkqXh8muPAdPlGN7SdphSEhoZ6xd3RXtqLzBedeHDoYg4AipJyHGg5PUdhAAAgAElEQVSOpdn8sxgpVs3RPO3gtSVfZfT6lpfXrWINbi+UXso2cV55uZ5IGZsnANAGUV5ezwqJvUm0yMoTZuapmiz7g6M4UPm9CnVetu5DA3gRm7ToRJq9WF6hP8tmjOG54DyAWnn6oYKlGHCBkUkGDGsvZl/L+RSrcaFelV8boQaoghWqw4YN8/evTAd89GjDfYntAWg0NkjyS00tJaKDTk8fv9tpPJ//AoBC0SYn3kKpLHzitlaSorJ/bNKbpjMBjOivOzyvW7du4eHhRQ/prkKmTJmiP69jiGVmVE4mAJpTW2YmByXmlVq0vHTgvc7i6T5+x/Zy0ya6d+8edeiQNh307rhFF/DuGHZNhCE4GLA5XdJvByWXEcqix4kxNOXrmmNkKjczM9Omp7U1SU8/DyAnFUGApbChWmCjUsKA4udxElBQynJdc0PC0rKK6hQAjYSOUZwTBY6BWqLJzVVzxlR2enhgEKt0ABwAFDi4sVevXgEn/+ZoGoCBOicoqGpmL+rTAjHfSk3xAZjw84yNxwGgaXpqS1F22vls2ihU2u4ftUTIyl1k96Mfp+gnCutJlFmMSa4CAISAhTKR4Vvmvp0HMUQu/SY06JXuC8kJtELaKoStS3GwVb5ulhcKsINHjtTe7d27d9Kvvxa0KrjUgLFG4saRwsbReQIabAvZ48xnr4v+KRvyrQ1ETiyl++wwplTab2uBQPCJPZuW7f9a5JDGM89WcHXV0U5pj4JiKzCHwQOaCB1fiJrIaYbHqSSaXAqcpTLGTvGqCQBgzJgx5ddGqAEoroLjsEVxc3OrnHMnEAgEQjVRBcPB/6Jj9ggEAuE/QhX03CvNkSNH4uKKiamoQnr37t2+fXsAL1++LDqjW7UYGhrOnDmTx+MBOHToUEJC8fEMVUW/fv3atm0LICIiwsfHp1rrMjIymjVrljbU9cCBA8nJyWUWqTQURfXv379169YAnj17du7cueqrC4CxsfGsWbO0K6u9vb3T0qoxvIqiqIEDB7Zs2RLAkydPLly4UH11ATA1NZ05c6Y2vX///oyMjNLl3weapgcNGuRcShAbocapTeduYmJyo5UjgH3N2pdHfvbT/NDJ0ovoJXc2bKk9vfr777/vefZYecpWtK6CwuZHz9jZ2QGQSqWjR48WiUqMf3hPQkNDnZ2dtRNimzZt8oqtx7N5YWp5qbc8PZYWWLPK2xLxmejEOLWNkhKmM9wCSTdFZod6qtiWGRGlqGVpNrB9IF/DN840TqAdlZluvdWRMk50JzTmb+9v6tatC4DP50+aNEm/VzPbIjhDIDdU8VmK09BsLq0RswwHThrSnq7gjA7f4WWiSaKIZYyfdfhhlxeAtWvX+vj4dOqkmzgJcglSCBUArNXqhip1CsOcio3nAArYnNz3pbqscNq3PJa2ixPUB0ABmpy04DWDzM3NWZZlGGbqtBm3zQcyYE3ZuFQjtVplWs/0eItwB7BoLYxpbCKzplJTWCM1GDGlNKZydiZ0Bo27He5qGI2RGqacKoHH44Cr0fFxeZa70rpra4yQNI8WNOCUskEI2r39OwArV668ePFi517OuQ5PsnjKurmm6ufNSjKYVyf1uf2zhjlSnlqUaJBmphTToW2LijFNn8RJM0yVAgAcBYGS/910P0NDQ4VCsfD7fkrDHJbi0vgqu1yTF4bpThlWqgin8v86pRMUFNS7d+/NmzdXlULC+1NDW/6Wzuyn99veKnuqs0CAI/bv319OSS0F32Hlqe596tLy3XffWVhYlF5Lpdm5c2dYmC6kneM4VmrBcdFN5dxEyZAWU3dhg3VrA6mI5sZh03fmB1jVHb6lH23wKiFu9D/7F5eidk/InoehDwMmBdCgd+7ZcTQ3cajRT4NyZI/tAHxTsHYjI9287rQ9HeqpTBnwk+gUN/N+l7IuHZz817jjXdt2E/zfpL3lb9HFW0eWvvoHAKDuKVDrm9avX78tW7ZoL9scaaONfpqWkWWp0XxRx1Lr2QEsGd4U/b4tZ12uG69TmXkcwAG0gVnBWx08Ft+5GvloTf9JvuNzUp+y0VNT6foNPRsu6bAE6yz+UjYXUSp35jHm3v3l1JkeSYf379/vE+ET4B9QV1zXLyYGNh37UvEJsgTW44Tz0dH79+wETxTwMnW8VwAACI1ZVX786MCBA2NsLj+QqgCEi9I9OnNLpxQfvjJ9T4dGMqO9C/8BEPD46oL7i/Yv8mjbzL2Q2PwfuluoRD/NCwTwz+MrB65/rb/FiuUpQoVYYWSsAk3zevDcbpr4X95fOJyp0qxevTovr2qiBghVxUe4K2RJ3rYmNdQKYkrpz+m+izmA4lhaLaf5qdocWhDPacqI+n+d9dpCakGDBiDKjZVybDzDA2BrWEbVecg10uiiuY0kJmYqXkpWTIWMfxj5V5ky+je0qYbVUBRLQUa/DdZOf11isSLIFJqSPldfJeeaGwoEPDo+Jx4ALYrnVKZPUp9AmYMCS4Lx5p4+GZkRKaAFFEUhLxP1XRsYNQDA2bQFRyE5HMD91yWuMEjj5y9wS8gucRGTjFGZ8K20adeWfUw1CHxytTwtLUg6g2SBBgDLsT1cxqV8EP06QjXyETr3Mnvl7y/wYZIF8Wi5bvCdAlhGJBAbZGfbav+L1dmtGWEZO0Z1tu4clx33Ovs1gEQz5zSacVYqAdwqy1Gb8axjBdkKuRzAn/+ciBaqnO26VMj44V0+tyhrdzCGYrSD42/4PJrj+BwnZd96adsOpZV8F3ODElcAdXGySMiUhydmd6rXiWMF6pymtChmuNNwCAwgffsdxvDQdEh+EZsuClah1ChhYicLPvgo+REAJmAfaBr1WgEY2sqaLmHBUH15/qrOTo5DS7LKRC2N4V7JlTIAu04szmIwxH1a+dsLACxlrWTsFBQNMDTvxK2NDRRkA9ePnA/i9V1OZ6pfeloe71xS77sm66oxGmpiWAs2VCAfxMbgF2eqnikNTqCRP+DGKfNoX65DXtZkVi3ePbEMDzjCacSp8FPDfIYZC42T82zyZBM/y92nASPnRwWWUITh6H+kqQIuFcApzXUrllr77Ns2uWafDllaoSY4N26/NHXlhfs/UhoGyuKXdNoY2ERlRQHYbWos5NBEewCvdrGpYzEbaZVEz2aWr27naNOcSlHwVv/mlp0amg/YcdtI3D9X3k1qmLB+wKThTkMBYG6gYtNYayolSyPAFuexYGNRB0Bn6871pPXicuJaSkFxYNQcDxDf+g69V2t1NjCXnJnb+bsr4QlR4TzFO5tGbJ91dc2BiZnqlPa2/ScMXFSSwf8b8fNXF8cMP9zRWEPH8NmeikbWlg2KijEUL1gq73ygBQCOgjPyF/RSoN4INBDkyGm4ZMpeiLI+tRxf/idG+DdSy8697m9/1KtXr/zy5e9Tt70VtHfvXty9q8/xbtHpxx9/rKa6AFhaWtZWh7+V6un3M76Pz5kOVS7v8e9QZPAb9hYNawJAnqdKfKr8HyMc097WouQeq55jg475x/nfi7/XpmubhlLdy6BF00bYOLZY+S2TLr6Kf6JNXws8lS6Pbdew36g+syvRiv5u4/u7jd+6detrtvgxllNDT8Xmxl56dUmulvc3aeGQ8hLWL9DAHQ1cYVSBv6KvBzaf2tne70niy6ScH5Z4Ynn3gnd/neH6T2Tq3+HJrRuY9G9eYBNNiZnbYp+0tPzNOO3MdIu8Lo+67PfaLzAh0MmgQY+0OKFKJhr+GUwd9JKt65sentZpw4ZryTnvWCISSDbOPlumwY71m/42LXjXiS8yZEnzWnm4tx9WrNimGReeRuYHAgzqN2L72w1Bzn337KLfudSMxNsPz/Ak/KX9lznWb1pmvYR/NR9Ez53w/tCgbQxsAMB9WcF8E1PMsq6YKjdrNzdrt3ey5DklyMLExKKtiW5mr+gUX9Ui4okcjR3nt5mvu65srAdNw9ZU4tnFAcD3HmFFBTo7mnd2LCb2xsjISD+T/I5C0P0b9O/foH8lDSoHPB7vy0m7S5cRCSQFf4Lk+PxFwolxGW2adGEYpl9nso70v8JHOOZOIBAIBOLcCQQC4SOEOHcCgUD4CCHOnUAgED5CiHMnEAiEjxDi3AkEAuEjhIRCEgiE9yUkJCQiIkK7flgPj8dbsWKFWFz84Yh9+/ZNSUkpmh8cHFwtJv73IM6dQCC8L7GxsdnZ2aampgUz+Xw+wzAlFTl79mzfvn1Hjx5d5iGdhMpBnDuBQHhfpFKptbX1kiVLKlTE09OzTp06TZo0qT7D/ssQ504gEGoHcohbtUKcew0xY8aMqKiokJCQpk2bikSili1b9unTZ9CgQbVtF4FA+Dghzr2G8Pb2BjB06NB9+/bZ2NjUtjkEAuEjhzj32mHPnj3169dPSUk5fvw4TdOGhoYmJiZRUVFz587t06fPp59+KpfLra2tvb29tYeyEggEQoUgce61TK9evfz8/OLi4hYuXHj8+PFjx4798MMPEydOvHLlSpMmTQ4dOlTbBhIIhH8lpFdYyzg5OQEwNTVt2rQpAJVK9eLFi5CQkKtXrwIgx8kTCITKQZz7B0eTJk1sbW09PDyOHj3auHHj2jaHQCD8KyHDMh8cs2fPPn369KhRowICAkgIMIFAqByk516jXLhwQZuYO3duwfzLly8XFDhz5kwNG0YgED4ySM+dQCAQPkJIz51AINQOcXFxFy5ciIuL02g0NjY2Q4cOrV+/fm0b9fFAeu4EAqEWOHjwYJcuXcLCwgwMDIyNjZ8/f96jRw8S+1uFkJ57jRIUFDRs2LDmzZtnZGRYWlr6+PiIRKILFy5s27ZNJpOZmJgcO3asTp06AEJCQlq0aEFWMBH+FXAcp1ar09PTC2YyDGNkZFRSkfXr19+/f9/c3Fyfs27dOnd39ylTplSjof8lSM+9phk0aJCfn19gYKC1tfWFCxdiY2O3bt166dKlwMDAzz77bMWKFSzL3r17d8KECQqForaNJRDKRVJS0sOHDx3fpXHjxpmZmSUVoWlao9EUzCl0SXhPSMew1mAYRq1WnzlzxtPTUyqVApgwYYKrq2tubu5ff/2lVqtr20ACobxYWVkZGxsHBASUv8jq1as7duzYv39/W1tbiqJiYmIuX768fv366jPyvwbpudc0vr6+AwcO7Ny5c2pq6vDhw6Ojo21tbbW3aJp2dHQ0NDRcsmSJvb19rZpJIFQvEyZMCAwM7Ny5M03THMd16NDh7t27Hh4etW3XxwPpudc0AwYM0O4QqaV+/fpv3rzRplmWXbFixcaNG2vJNAKhRrG0tCQj7NUH6bnXMsOGDfP29s7JyQFw7tw5vaMnEAiE94H03GsZe3v7RYsW9e/fXygUSiSSgp16AoFAqDTEudcoLi4uRd33mDFjxowZUyjTz8+vpowiEAgfIWRYhkAgED5CiHMnEAiEjxDi3KudkJAQbdA6y7JffPHFyJEjp0+fznGc9m5mZuYnn3wyaNCgKVOmyGQyfanU1NSSFEZHR1e3zQQC4d8Oce7VSKG1pufOnbOysjpz5syAAQNevXqllTlw4EDv3r0vXbrk4OBw4sQJbeaRI0cWLVqk1+Pr6zt9+vR58+axLJuYmHj48OGabwuBQPh3QZx7NVJorek///zDcZynp2dWVlbDhg21mW5ubqNGjQJgZmYmEokAvHr16tixYwX1XLx4cc2aNWKxOCYmZteuXfPnz6/ZdhAIhH8fxLlXI4XWmmZkZAQHB3/zzTc+Pj7aI1IBuLq61q1b9+LFiz4+PkOHDtVoNEuWLNmwYUNBPStWrPDy8uratWtWVpadnZ2xsXENN4RAIPzrIKGQNYexsfGoUaMaNGigXXjdp08fbf4XX3yRnp5+7tw5Q0PD9evXT58+veBWeQDq1q27Zs0areTSpUunTJny9OlTR0fHWmgDgUD4l0B67jVHhw4d7t+/DyA4OFjvmk+fPs3j8Q4ePKjtj2dlZe3evdvT0/PGjRv79u0rWNzX17dv377Xr1+fMmVK37599aP2BAKBUBTSc685RowY4eHh0aNHD2tr61GjRt27d8/b21sgEAQEBPTs2RPA559/vnnzZgCvX7/++uuvZ8+erS+r0Wh8fX137NiRlpb25ZdfPnnyRD9qTyDUOpmZmXFxcbNmzSqYyePxtmzZot3xlFDzEOde7ejXmgqFwtOnT+vzO3bs2LFjx2KLNGjQ4MiRIwVzGIbZsWMHADMzs4MHD+7cuTMsLKzaTCYQKoZAIJBKpS4uLgUz+Xy+UCisLZMIxLkTCIT3RSwW16lTZ+bMmbVtCCEfMuZOIBAIHyHEuRMIBEK5UCgUFEXl5ubqc+bPn79y5co7d+5op82qA5ZlJ0+eXImCxLkTCATCe9GyZcvdu3e/vx6VSlU0k+O4s2fPVkIbce4EAoHwXjx9+lS7bvzQoUPjx493dnY2MzMbPHhwUlJS0ZybN28OHDhQW/C3336bOnVqUFDQkCFD5s6dO3LkSACbNm2ys7MzMzPr06dPSkrKuHHjZDKZu7s7gD///LNly5b29vbTpk1TKpWlW0WcO4FAIFQZp06d2rVrV2Jiop2d3ZdffllsTlGuX7/u4uJy/vz58PDwjRs33rlzJz4+3tDQ8MiRI7/99ptEIrl161ZCQsL48eNPnDgRGRmpUCiWLl1auiXEuRMIBEIFMDc3F79l7969he66u7v37t2bz+evW7fuzJkzxeYUq9PT05OmaQcHh1evXtna2mZkZDAMk5WVpZc5d+5cr169nJ2dGYaZN2/eqVOnSreThEISCARCBUhNTdWvzCq6i5+tra02YWFhwXFcZmZm0Ry9sH7rb2tra33m2rVrT58+bWdnx7Jsy5Yt9fkxMTEBAQEdOnTQXjZo0KB0O4lzJxAIhCojJiZGmwgNDeU4zsjIqGgOy7LanOfPn2sTNK0bRDlx4sT9+/dDQ0NNTEzWrVunlwRgZWU1ZsyY7du3A8jNzQ0PDy/dEjIsQyAQagG1Wu3l5bVs2TJ/f3995vLly2vRpCrh5s2bN2/e1Gg0e/fuHTp0KEVRhXKMjIwCAwPT09Nzc3OLDq2kpKTUqVPH2Ng4KSnp+PHj2vgZlUrFcdzgwYN/++23sLAwhUKxaNGiQntPFeVDce4vXpQhEBBQ2mU5b2kJCipDICSktMuCRESgwDfWh0FOMtLf2VMsPkMemy4rSbwoalb9LP2ZmlVXtWU6YhMi/UN8yymsBC88MbvylcnSkByO92yUWo74R2DZ2JzYZFlyhYrGpsviM+SVqbQ4rt39PSUjrqq0VYLYhMi/H1yqElVz5sw5duyYqanp9OnTz58/r80sOoT9r2PAgAFr1qypV6/ey5cvtfGRhXLatGkzadKkVq1a2dratm/fvlDxTz/9lGGYxo0bT5o0af78+b/88svTp0/d3d3btm3r4OCwa9eukSNH2trapqSkaPehKoXaHZbhAVCrMXEiNBr8/nuJckolNm+GoSG0ZxCNGwelEsXOTMTEYPNmmJnh55+1GYICNwUANmxAYCC6dUMJs9Z4+hRr1sDJCVu3AsCYMVCri68LwMqVUCqxaxfq1wfAL7211UcSbTHn/D7/jP0mGoWQ5ShAxHG/xSfzOCpFI/1V03eXeqSRhDnzeVdHS4PSVW0O3HzsyTEA6jx7+ZvPaE4IUAbDVuoFDMxNvr9wpI1DoxGd+1XUzixZxqJf+sTRDMfPZYMWazNpjlvU/OuBnScUW+Qs3eXs9lsAJALmydoBFajslCfCfADuNZ8/28oyj6ZSGQYARVEnBp9obt68aAlaYvLTnddt7c27OFrk5/464ULszV1mxmk0o6QorQa/0X5WEqvMZ9ezT8ykOd2HsxrMow5bhwwZob28/iJswdHoHDkLwMJQ8PvsLoWqSxHIN5z0nt1/tJmxaZmt2XJk9p+K29kMpXmCjrnGP867U6zY+l+m/sUGatPTNhd2HO+D9rdTUppEoQrBX2kzm+VZrJt6bs/FkxJHS3nYmwopvHDhwrNnz4yNjSdNmtStWzc3NzdLS8sqNLg6EAqF+lFyLfrw9hs3bmgT1tbW3t7eBWWK5uzatWvXrl0Fc/SfL+bm5gW783PmzAHw559/ai9Hjx49evToclpbmz33Tp389+0znTgRKhW++aY0SYEAbdsiOxuTJ2P8eCiV6NateMn69dGoEdLSMG0arl6dmZc3UH8rPn776tUIDIRUWqJnB9CsGZo3x4sXWLgQ48ZBrcaMGSUKHzgAAAsW4Oef4eYWUWpzq5F/BG39wpKtZfyNmewCt282pGW/5PHkjHghszKAbjtBcsmwyaocdfwn+/4qQ0/cP8efHF/XZd2jKY/cJB4QJHwq3beVt6dtbP7JUC09Jxx8bL/ovOqzHzaUoqpYlv88LIendOU1oYFmWVZWMsPhhkM0FPUqLrT0gjRFyZQadYHxx7J54QcKAHwMpBkMvSsxGYCAEXAcdz36erElLIcu3ub3wsP77tLfH+uy/H9AxJXLTm5JPIEDY3A0PvnzhiM4jpvlNwuALP6FmmNeuXz9qvH0V7S9kFKl3/8Nyc8A7Hu4b/rBhzI2wa3LyfsrexoI+ZMP3C1U3ZW8Xl4PrDt//3t8WlLpTQl/FfyH6m9XTbO7U0PXOC55Jcxcvm9UsZJpsjhzFTPccMhwwyGPrqSX+2GVzYoDw7N4ynS+uo28QbPMulYyQ/s8SQ6V67rlpNcD6yeWn0n7FX57lY6RkZFGowFgbW29fPlyrRcjVCG16dxzcyMePRKpVFizBq1alSG8ahXatkVODhSK0vrdALZs0fl3lmXE4ucF7lAPH0IqxdGjZdS1fj2aN0d0NJRKzJiBQYNKlJRIcPQoOA5//AGgIq6nGrBh8yKM5g1qPr6tiuUoilbL/HIa2NelNZwCtFJscyJTRpWu4eKri3UN6g53Gg7ATqbig0oxfzqS/nuR3Uu9TDTbX5vwT6pbUQuTBBnN6OZSsZTP4fv5V15KsxvXb8Pjyi7IchwA/8i0ClSmlIGiANyWSNSgWimUjkqlUqOkQAUlFj8wJ7Jvo02cDYnVZT05B9tOcrExy7G7R55pTUv6Z2VSoKIyo7T35ZygyzDPLqKXXbggDcdArULwMQBHnhxhNcZimxOhaQ9eZodu+qRlTFpesZXKFfV2//Fb6U05d8vLVE19O+s0gMHukxsrLBM0USUJC1lm3thN88ZuCrweWbraCpHEy2iGxgBszZvt+vLqa2m2kBVxHJWn0IV5vNJ0DHqXp0+flqJwzpw5rq6uW7duBTBt2jSGYQYPHiyXV9kQVq3Qt2/fgqcfF5tTY9TmsIxYrDuw4vLlsp07gCdPdIng4DIko6J0CaXSqtCt3FykpcHMrAwN+jmAK1dKc+4A3n4wgaZFZSitZjRg6tH5nTUOHEfzFWrdYJFGZQaU4UeNBEZ56rc+iCfkqEypRgMgvbj/OAFd4f9DPkvLNFkGYlMAscmvlBRs6zXCkzLL6bA0qMj+sRQF0IBG+PY7Op3W/bVLeJLSiwp5bzs9AkNkx1GwBhCbE1tPlceJTQDwmHf/ccQmhdJGQqNYsBq1CY04I4FRaJyMKbkfZWlkVLo9hhKLPBWnVqt5PB4AJRQ8rqbHAAUsncflaIc5YxMiFRQoiirYWeAzsrFjx75TRCAICAgo6VTIhQsXduzYMT4+Xnt5/Pjx06dP/9tPKbC2ti4Y1FhsTo1Rm849Ly/czS3kzZueAQF15s170apV8R/LWq5cmcZxjJ3d89xcg9RUm3Hj5L17Hy5W0td3OsfRDRs+jI5+Z3yZZZM7dboXGDh42jT07n1QIChx8a6v7zSOY5o3/zs2tnF0dJ3PPkvp3NmnWMnIyNbh4Z14PHWPHifOnWsH5Nd4+PBhA4MyBrgrjb+/v1EBj0BxGoB9JuA9z/z53P7zTaUCCpwCoi1877zEtGymrjq1ryLZvZ4ox8vLqxS1PPAyhZn9D/ZvxDa6m2WgVjeLSJg+gRPfTwu8/VbGXn7qtXgEn5fR2yixdG1FsZLXv2/0qmWiItuE23Dq0/Yw3H1+Ya4hFxMTo1d19+7dunULfBNwwFsXcuvCr7fKXdckiCVsFgvepMzs9eYmP5qapPFoBowGGjqK1lenP74cQM6jPw1a9eNR0DfNWtl4cMp1Y0omFHOLLn/W2Ux65/WfHM3ZKe28vLyssx50pLPOrh5BcRyfc+1MhcoZ6S9hAtVTrw50h5fiaEXsBGuzF+u8Qu5mGjSQKAMDA/UH6gLg81PVGuOGkgfSJJvSnySrtpIy1Iz9neooHPPo5FCjrO5ZHYotolKp0qTKOTu7Ahi36J0xd29vb328XSWwUtjdN4qUstTD5JthJ++0g2GKIEOs5jsa3H2Z247Hy3alHx2KrNi3gpubmzaRnJxsaWk5duzYQq8HwvtQm869Q4frz57FAr/z+Z2TkjRXrxYelCyAgONm8njX4uP3A6DplUplS/0Z04Xg8Rqo1UFv3oRQFPSzW506dbp7d25ICPj8G0DfW7ceAAkl1NWE4xiG+Tki4goAilqfmelYUl1ABp//Ejhz8yasrK5YWOzX5np6egaUGbXzfuiPYHVzcwv+8cdci9wkMXWXETsoU7IojMvMSc/lNcODN3y7ParhKllH09xYm8jbV8PKGDuyNbONbxWfIEqgRBK7zOTcDCmA1vXNTE11k37NFOI6cccBxAFxKO27uzgkzdrWTTPKbJgnYaEGKA2laZZjEP0k+0WG7gnTNN2rVy9tukuXLtd/vcnRNACxKufqywpM2TFmNp9YKIx4ik5yWa884d8iIThoWI1QJoy9G5uoSNSKTZgwQfuapGn6k/p5GS8PAYiJRMxbPZFGrQYLIo3VghCh4IpYzCKXl8fj/cW7yl61ECkpWycelQOABW7D+WYsT/lU9x5sifCXdbq9Vju9BmcqizKNvEXz+T169NDe7dq16/O3k/5Xy/EYDc2daOc3z/YYAS4AACAASURBVAyeSjV0i2jb8Ce54Sjmb1JoYFbXzFC7+5RUJZVIJAAEAoGnp+f166V1nsqBsHnbehpxrppRaX87A6VQkGlq/viZOZ4BGDtlSqVVDxs2rGBAJKFKoApN/hIIBEIN4+bmRpx7lfOhxLkTCIT/LNOnT69tEz5CarPnfvbs2aSkMoLA3pOOHTu2adMGQHR0tK9veRfOVA6hUDhp0iSGYQD4+PikpKRUa3Wurq6tWrUCEBUVpQ+DrSZEItHkyZO182enT59OS6tI1ErF6dKli7OzM4DIyMhr165Va11isXjSpEnapv3222+Z1bwmrVu3bs2aNQMQERGhj4yuJqRSqYeHhzb966+/Zme/x1qwctC9e/cmTZpUaxWEClFDzj0jIyOyyGRL9+7dR44cKZFIAIrjxBRVgVWUpZCaumpF0jBtert9t8OHdwD4/vvve57VBWt/a3nDzOwbmi6xOpaVFLxb6LIkDh8+HB4ert0kyNZ2QK9e9Wi6XUbGbKn0hlRa8gKtCjL76X1tYm9TF+2U2qZNm44dO9a5c+eqqqIoBw8ejI6OtrKyAiAQCDw8PAQC3eqwe4ZdcxgDIasEoKYYDcX0yijjJRorsH0iaS1hdY80j5a0kt2vo9RNgTx8+LB9+/Y//PADgLVr1x5Kqi8WSzUUpaDEfTP+qJLmRIiavhY1FLNyAAnB18JPbjIzM2NZlmEYbUxeSQX/MulHcRyP0wBQ0nwBp8ylDaQa3bk8eYzYXv7CKe95ScWDg4O7dOmi3Rtk5cqVFy9e1G8CVSU8krZLEFgDFMVxoChlZuKzreMMDAyUSmWdPtPrdxwEipLTQmtlbDPZo8pVcd1kAMNptE9AQQkM2OyO2XcABAUF9e7du8w1k4SapIYmVC9evKj9my5Ibq7sy9dPAPiPD8rLw//+VzV1yeV4+nbtJMvqYtQKvsO+Tu7Z9vcStyDIy8PMmfjiC1CLXACEzgiKjMTq1WXX6+Pjo6/Fzm6uQDA4LY2uUwfNm/dbuLDCizlLItjdpVAOx3G9e/fesWNHVVVRlBMnTuibJuFhz6IREuumsGwCoN/2Wy7m4p8+7QDg9wexy35/tH///tK1HQ6I2njpWejacdrLRisuTZ0+e1jrelDKcNfrD3uF79soc47jRkmebdmy5Ul89uCdtwprjr6HyGtoNRbmjiVWFv8IshTYdwWTv1Z5uU+o7FlCwPLhACSSqRy3UX/rhx9+EIlKDGlt97XPV01Sx0/4FDzRopMhdyNTczMVoVvHAUBmbIcdD7t3cl81ssQlGBs2bEhOzt+94LOBHRZMHQuNAgmhaDsFRoXDdivKlF/u5UVnSIW8O0t7RSbndP3ffu2vxnFc5u0jabuH0FlxPQJatqrfedeEuZWrosnXvt9+4jy6nS2AGYcCo1Lz9i8Yh6i/9x7lRxUfx0+oNWrIuXt4eOi/EPXY208DQgC4nXBpdKmsDV/KzdN++e6Px6vwRhxiMZYvh3yWTkkLb5fBZytsm1KZkpJCMwwMDTFtWkVLl0hRz17zfN6ekZz5FACGbEd7zyrTq8zBtsZQ5g4B7tLFL798h1tbcf1bALi1BZN84FjcCZY3NuDmZgCwbgPPK+C930KEfV3tNGMaRJzAtm+x+N0N+aL+xsHBUOzFw+voIkGdYvY2KMoC/gkcPaG7uLkJnwfAsvF7WVgyv46S0GdmAGiq/pK2rsguDqXDsfDuicSwz4Er/E5VppZQFdTuCtX8dY9VGBFucSzfF6vVlVk+oPfsWspc8VQUA4OmFMVxHGQySMpYMfMvY2Ovt13gu2X00CtG8HEoc7WrrKiyFlsBwL2fdAmOxa0tJci8tTAuBNGlBNqWA6UMiW/3SJBnIuz8O3eDDuoSajlCjldGP6vB7W2VN68srA11CSknk6Y/qzK9qjwkhmmTXXiPS5cl1DC1GeculdoDlRz7KwmlEosXw65T0MS7LgB4vGImbL+1DNoYjsYld5La3gp6zz5ycvLlJk06ZmczKSlYsQIbN5ZdpDy8v2FVicQMAJ9HX32S5LDsIgCOg4hfdndBKuDnKTXaItpSBkIGQhsgf72SnlN091PLLhZcyqRDaICct2mxefE1iU2Rl1HQWl22kE7IUmgNMB29tkyDAYAnAigBpZquXMyDJudXCYtYWzMJB85h2UVwI4ERHCCGCpISjCkTg/cdlhHx6Yw8VUaeyn7pRQB8Czv9rV9NZ86XuwGQQeghKuYU5nJC01h88tH/nXoEgOPgbJG/UDaXFVbXmj1CpahN516w5/7sGZo2rQKdPB5GjMCECQCC9u7di7v5/TXvFp1+/PFHAJ+eg4VFiRoAHDmCFgUuHzxAu3YVMyMz896KFRkxMeZ79lRNuz4cPj2nPDTamDJriIFbAByb1vFZQn4YRj1jcZkaRrWzsTeTqN7uAibk0W3tTIHBcOyFlzdYjlIW2F+zBxsya/ZsAJaG7+49MOonHBoKZQ4M62LYOxvs5TPsB5yfh9wUdJ6Puvkn2iwb2LRvM50n7dN1HjC17GbTNNy/8rq5MwOSbNueuT3XA3CqY5iQmZejUEOegb82ISW8o6MNOs4sWxsAIJkzteTngVWDVcOiEfqUunleOdg5tl1gp7SIJN3PMd9jFNboRmDYB7+d7fknxapz6rk1/uxApavwXegen5k/uN64riECFuPuvlQF30fl/vn7WP/f4+bNm/PmzUtNTZ04ceLmzZtLmcmvHLXp3FNTb1O7HrRp0yYwEP7+ZTjBsDA4O5d4qYemtZ69NIYPL+1uXh5ev8bQ80EmJgAQGopbt0p07rGxEIuLGbdJS7stFnNubtBo8OBBGfZUiLa3ggDs3LkTYWFVqbfc/Bqq/uFmuH7zAxOJwLWhrq/6Iv1FcOptkdDNqtRO6L2Eeylsint9dwPBu129yWcAfLd1a07Ka32eJTL1+gGwYP1j/DNVmb1se4mWxaB07LtigW4z/leZr4KTgzvV7WRjYMOjab1ONiOx7DYDAJTd/3fXvp2IL+pi3YX3dpsaCwPtIJV5ot23/gn+L8ybNxZIy6lwh9pj/Zr15RQG8Nebv27F3BrgMKBj3Y7FCogEdLdGFt0a6XouM2PyP4u9bsb/eO0NR3G3Ym8lxt7obttd34QKkax6koakrvW7Ggne7n7RayV6rdy9enUeS2ZUER0dnZub27Rp03f33SkGpVI5ceLE48ePu7i49OnTx8fHZ8yYMVVrzAdxzF6HDig9JIxlsWoVXFww0NcFwK+uQdHROHGitCKVRizG11/nX7ZogRYtShQ+fBghIVgarx0Cyh9c16ZlMvz0EwwNSyxeOYLdXdyBsKYfzPgMAMDjosej1EcCSqBiVcMch33b9duiMhnyjGHnhmXIM3gMT8NqVrmtGtWoHHOnb4nNiR19frRMLaNBg8I29229G/QuT8HpV6bfTbyrta1Xg147elQ4ssg/zn/utbksx3LghIzw+KDjTqZO+rur/1ntE+HDp/lKTuls7nxicBX/acrUsl4ne+WqcgGcCj9lKjK9PuZ6Rb1zWGrYtD+nqVgVRVE0RXv183KpU4E/oSxl1pCzQzLkGTyKp+E0yzotG99kfMWa8bHzzTffrF27FsDAgQPPnz+v3eWtJK5du+bg4NC9e3cAc+fOPXbsWJU793/HClWaxoYNOs8OYEKAy6ZNtWuRjiVLdJ4dwKVG+WM9zZvv/f13ybx5YFlUbezvBzTmXoD9j/Y/SXtyfuT5oMlBu3vvvhB5ISipmBCj+dfnC2lhgEfAg0kPPJp5rAtYx1Zkn+Q5V+dYii2DJgUFfxrct0HfpX8vLU+pE89P3E+8f2roqaDJQb8M/OVG9I1rryu8MOrLv750q+cW8mlI0KQge2P7udfzQwkfJj/0ifDZ0WtH0OSgP0b+EZEWsTt4d0X1l868a/NyVbnLOi57POXxZy0+S5enr/lnTUWVLPprUWOzxg8+fRA0Oai1ZesvbnxRoeILri/gUbyAiQEPJj+Y0nzKprubKvTbffRkZWVpPTuAy5cvl7mTT3R0tHY5G4CmTZtGR0dXuUn/DucOoNDatwKb69UmJe2yl5b2t6+vRCbDvn1VGS3zYXp2AHdi77S0aOlg6ACge/3uZmKzK1FXiopFZkSObjJau+PuVx2+4lguLLkCg0sx2TGeLT21PdZvu34rV8tT5GUvA7755qajqWNT06YAXOq4WBtY+0X7lb9SAGpWnaPKWd15NQAezVvYZmFibv5gjt9rPxOxSS/bXgAaGDZoXae1f3wVb5PyJPUJj+JNbDYRwP9c/keD/if+n4oqSclLWdx+MQ2aBr3SdWWGPKPsMgWIyIgY6TRS+9t92f5LDlxwUllbb/+X0B48oqfgbqPFkpqaqt811tDQMDU1tcpN+tc4938X5ubuIhGnUODs2apUqx1w/wAxF5snynT+jgWbrcq2lhQThCoRSCIzdAuV32S94cDZGtqWvxYxXxyergswf5zymAJlIjApvQgAK4lVWl7+fgkZ8ox6knrlrxQAj+YxFPMoWTeEHZoWKiiwJKq+tH6uIld/OmtibqK5sLIBMyVgIDDQcBq5Wg4gTZ7GgTMTVTg+l0/zQ1N00ZwPkx8ydMWm7wx4Bq8ydWfzxufEsxzbwKhBRW34iDE1NV2wYIE23aVLl969yxgwNDU1zcnRxXvl5OTod12tQj6IMffysHQpxhW43LgRy5bVmjF6/P2xzTLo6+TCHeqkpMsnT/YICjI7eBACAcp96uG/lQVtF4w8N3LsH2PbWLT5K+YvBsz4psUMyE5vOX1DwIZsZXYdaZ3LLy87mTqZiMr2znomNJ2w/+H+2OxYI4HRpahLLlYu5Rl3/rzV52dfnB15bmQHqw534u4oNcqpLcsRHvMuXet3XXxr8QD7ASpWdfX11XFN8v8YP2nyyfYH2wf+PrCnbc+HyQ9jcmJ29txZUf2ls9hl8f/d+j+3X93sDe1fZr3kwC3psKSiSgY5DPru/nePUx7TFH0l6kqfBn0qVHxW61mr/VfPuTbHSmJ16eUlRxNHC1GpMWf/PXbu3Dlt2rTs7GxXV9cyQ18cHBxOvJ02jIiIsK+GsYgacu4HDhxYv75wYADHcUpliSdmFIRlkZkJ86NBdnYA8Pgx4r3LKlMjBAejXz+0nRUEwNLSUt+vjo8/LhJtHD4cNI2goKp07rUeLVMsDsYOxwcfX+2/2i/az9HYcf2g9aLiloOObzJezIh/evxTRHpEX/u+a9wqNnA8t81cU5Hp0SdHlaxylNOopa7lGnO3MrA6PfT0N/984xftZ2dk59XPKz/So9z80OuHrfe3+kX50RQ9v+38aS3zlx0LaMEfI/9Y9vcyv2g/S4nl0YFHC861VgkDHAaoONU6/3Uvs15K+JIt7lva163w4der3VbbGNiciTwDDv/P3nnHNZFtcfyXSSGQ0EGaIAIqq4AiVUWsiL03bNjXtbu7VlxFfVbUVde1oa69N8TeK4qA2FCxAVIFRFoghGTy/ggCQghJCEWd7+d93k5mzr33TAxn7px77jlj7MZMd5yuUPP+jfqz6KwdT3dEZ0R3sui0tI18+wN+MhzkKSkHAOjYseO4ceOePXvWrFmzwMDAiRPljaCVnxoy7j4+PsVlCoqxsbEpzj8lG4LA1q0lH+3tsamCyOYaptKivr16oVevGlGltmmq3/RYz2OVivWx6SOp0aocw2yHDbMdpmgrG12bgz0OVi4nk9nOs2c7z5Z6yVDDcGeXnVIvqYpeVr16WVX1lzSpxaRJLSYp3bynVc+eVj2rqAOFBBaLdfTo0VGjRuXl5fXv33/oUNWHHtWQcVdXV//eqyNSUFBQqBAPD48nT55UX//UgioFBQXFD4iSxl0oFO7YsWP+/Pmli2MtWLBARVpRUFBQUFQJJY375MmTDx48qKurO378+LNnizLkbS3tF6eobS5fvjx7dpGPODo62qdcWobg4OB27dq5uLh4eXlVd0ksCgqKGkZJn3twcPDr16+1tbVHjBjRtm3bVq1aGRoaqlYzimolMTExICDg4sWLHA7n4MGDfn5+gYF1IwKJgoJCFSg5c9fS0pLsyDI1NV2wYMHkSqNGKOoAAQEB+/fvT01N7dat28mTJ8eOHcvhcAD4+PjMmydXWCEFBcX3gvJuGXd394CAAACSspM9evTg8/kq1Y2iqhw7dszLy8vLy2vMmDEAZs2atW/fvunTpwcEBCQkJEjKvQIgCMLauuJKdRQUFN8hShr3GTNm7N27t9giHDp0yNfXd/z48apTjEIFDB48+OrVq1evXv3vv/8AMBiMIUOGZGZm2tnZ1a9fPz4+XiJGkuT8urDfl4KCQnUoHwrZqlWr/v37F/VCEAMGDFhYOlUuRd0jPz//2LFjxsbG9+/f7927d2BgoCS7RVBQULGhp6CgqEnOnDlTWKh8bSwZqGwTU2xsrI2NjaTaennu3bu3f//+MifFYnGludMoVIi/v//MmTPd3NwGDBhw7dq1mTNnent7q6mpaWhoUKupFBRVRCwWv337lsfjNWvWTM699x8+fPD19U1KSmIymZVLK4jKjLuVlVVxkrPyaGpqlt+hSqPRiIpy5lJUGW9vb29vb8lxkyZNDh8+XHzp1q1bAAYNGqTy+gAUFD8nycnJ/fv3j4uL43A4hYWFhw8fbtWqlewmgwYNCgoKqqZpO6pi3JOSkoKDg5OSkkQikZmZWa9everXr1+RcPPmzZs3b17m5Pz58ynjTkFB8QMwefLkVq1a3bt3j06nHzlyZPDgwTExMbKLMR0/fhxAdczZJShpW/fs2dOmTZuoqCgul6utrR0dHd2+ffu9e/eqVjkKCgqKuo9YLL5+/fq8efMkmX6HDh3KZrNfvXpVu1opOXNfvnx5eHi4vn5JUYJly5Z5enr6+vqqSDEKCgqK7wMajaaurp6bm1uvXj0AYrGYx+NpqLAGm1IoOXMnCKJMWakyHynqAhEREWZmZl5eXi4uLt27d5dsRJCadeDJkyfU4jYFhdIMHTr0t99++/DhQ0ZGxh9//GFubl7reXCVnLn7+/u7urp6e3ubm5vTaLSEhISLFy+WL8dBUet0795dEgkzfvz44ODg1q1bl8k6sH379rCwsNGjR4eHh8t2EVJQUFTE6tWr586d6+zsXFBQ4O3tffLkSRqNVrsqKfnH7OPj07lz5wsXLiQmJpIk6eLi4u/vb2RkpFrlKFQInU4XCoWnT58unXXA3d2dx+PdunWLmrZTUFQFNpu9cePGjRtVXGGxKig/UzM0NKQ87HWfS5cudevWLSsry9TUtE+fPv7+/sXxkcVZB+bOnXvt2rVaVZOC4ielLoZCUnwXdO3atfQGpTJZB/z8/FauXFlLqlFQUFQjVJj5zwWVdYCC4iehhmbu6enp1VotkEJOLC0tqawDFBQ/AzVk3K9evbpu3boyJ8VisUAgqBkFfk6cnJzKm2+pWQeuXr1aU0pRUFDUBDVk3H18fMqXeSMIQpJeRywGjwcut2Z0USV8PhgMyAgg/H5vjYKC4rumNn3uNBohnj4u0tNpyxZs316LiijPuXPw9wefj0hPJ6B0WCsNgFiMf/7Brl0qHjTS08nz5D4Vdyo3BJsISQl5n/le5T3nCfN2PN/xQf2DbLFTb0/ter5LQCr2zpfCS7mdcDs9P13+JuEp4f8++TcuJ06hgYp5+fnlvcR7hWSFsRDZatn3Eu/d+Hhjy5Mtn/I+KTeK/JyLObfj+Y48YZ5quy0QFdxLvJfJylRttxRVpzajZczNfYEnAFofdWp0IUKGJEliyhTMnw8LCwB4/hyBgdi0SZlBBQLMno2JE9GsmTLNy9C/P6w3Ob3qAgBXfjEvPl+//ujoaGZEBKKioNro/0hPJ9kChYWFvr6+mZmZzZo1k5TKAkCS5B9//BEbG6uvrx8YGJiTkzN16tTMzEwbG5t169ZJ3W3x8eNHC8nX/S067XVmP5gNwM/db2iTocXnnyZ8mX/qeVq2wLoe5+/BjiY6bKnqHQuP//fmu3wB2dpaf81ABxajaHqRK8jteLxjvjAfmnBnuRfLX6K53Fpx3amB7t+DWrBZxIDgAW8y3gDY+Xzn7aG3WYRciVUff3rse8kXgLaa9s4uO231bO+/T18a/PILT8BtM7yMcPyXvN+PPnmVGl/AjmTp393+dPtO752uxq7yDFTM5sjN259tL0jtjpwkAw39AS3r/9GlSRmZWw1u3bp2S3K849mOU31OWWlXuKfxWHi8/9kofqFIXY2xaXCLTk0V+1WZTzZfeH+hMPeXgLM5+kTzPs3rz+9uq1APAE48jt98431egcjdSm/NoOZsBsEX8oddGPb2y1uYoTGrsaIdUlQrtTlz5/FKZn+yHRcEAW1tfB7hFOnpFOnpJJziZGKi8HATXoRGejpFdXbKyEDDhoqrW4FiUmGzG27YoBUZidRUODioZizIYdkBBAUF2dvbX7hwIT4+/vXr18UnjYyMTp8+3bVr15iYmCNHjjg4OJw9ezY9PT0sLEwic+nSpfHjx0+dOpUkyU+fPu3bJ/3loN7AepKDw69Kcgi/+8Tr928Ig0bv7mCS8CW/0/pbeQIpu6L2hsTOO/nc2pDb6RfDKy9Tem2+V3zp3Ptz+cL88k244Hs1Nbr3Ns17wx2+kC+x7AByC3Mvx16u9NuQcPLtSclBVkHWmXdnwmO/jNgZqslmdLUzEQu/mVnn8oVe6+98yuHT9e4BtPzYKaRIfcfTHXIOVMzh14fzE4YVZrQRq0dbG4m33Hr/5/GnMuRFYtHOZzsruhoUmTznxDOhiLSpp8kvJMftCw95/1khfRjajMJMl4KU3nTOK+N6qbvvf5h88LFCPRwK/Tjn+POGBtzOvxhdf5Xac+NdAOGfwt9+eSsRiNWNVahDiuqmNo07h6NA7oVVq775WJWqcL/HOVV3Sh8Dgw4iES0zE+3bY+BAlXXreEfW+42E8PDwdu3aAWjXrl1ERJF8SEiIWCweO3Zsdna2lZWVhYVFVFRUcnJyYmJi8b7i8+fPL1myRF1dPSEhYdOmTdOmTZM9kA5bp/h47ZVoM12Ns9PaLOnd7M7sjqQYB0OlBFluu/2+V3OT3aNdVvZ3uDzLMzolJyOvyLtizDWWOoqH+PnyvnY3/mz3MSMvMauQVsr3ZaIh7xNeR61EVV013bVXom2NtU5Mar20TzNe6LHSkgcfJRA02p3ZHc1M37ONztHV44TZDnrqenIOVHpEUW4ztvFptumxv/paLOrZNPhpsuwmBuoGFV1aeeklDbRni7temeUZOr8TgP+dUzjjYGGGB9vkGFM3dHoX45UD7K9EpSjU/N+b77raGf832nlFf7trv7d7l5abls3XVtMuFlATqSmq0k/OiRMn7Ozs9PX1vb29ExISVN5/7c7c3xUfv3xZi4ooz6dP2GorxeBmZj4Qi8FkIiIC0dEqG06emXtGRoa2tjYATU3NjIyMr/pkRkZGLl68+NSpU9euXXNxcYmIiBgyZAiDwTD5+hLk5+e3Y8cODw+P7OxsCwsLSSflSQpM0mBoNNZtvMB1QfHJdB7fSKvob5sgoMlmJHyR4tvNFYisDTUlx+a6GgSNFp/Bk3xsb97ew9SDBhohJugkvUxDQy6boCMuLX+K4xQ6jU4DraN5R2dj50q/DQnjHca7m7izGex29duNaDriS57ATFe61ygpq0BbnQlgZduVXCaXxsxiCC0WuS+Sc6BilrRZIhbTNbUypjlOa6zb2M5UW1Aus56mQJNNZzMIBg00K22r6S2nV9RbLl9Ip4PNIgAYcFkEDem5BQrpk/0omxRyaazs1qatO5p3bGGmJyIVuyOeQGRtyJEcm+iwCRotJp1nb2D/a/NfuSyuZqGmXbKdYj3+WPB4vA+l+Py5klerDx8+jB8/fs+ePTExMSYmJjNmzFC5SrXpc//8+R5t0+MWLVqEh+PRIzRtKku4jIn88AFK51x7NSnCUcmmZXnyBL17w3FHBABDQ8NiM89iGXXtmhcaqlFQgJAQNCnrblUSxzsRldp3HR2d7OxsADk5OTo6RTNWbW3tAQMGNGjQwMfHJyws7Pz586tWrerevfvq1asPHDgwduxYAMbGxkuWLAEwa9asefPm+fr6isVif3//MsntskOzr164qqWlVfpk+yb1Nlx7++4Tz8aIc+VlyudcQQ87KTNxWyPuwdC4sW0suWzG4rNRBEFrXl+3+OpWr60AAgIC4oQla5gCMAAEXI4Wk2IPG4OOjF9/dfhVga8MAKCrphvYpSQk1N1K/2jYx8QveWa6GgT7G4dgl6aGxx4n3I5Ob9ek+X8drvTcfG9GV1suS+FoJ2cjZ33OtYaCeePtWglJcum5qHqaZR8nHWI7yJlrr7m5dsi7z4F3P0xoa7Xs3EtSjA6NDRXS5/P1zzYd9YwLlm/t1IYk4XfmmS5HsRoRtsaaR8Lif/W05rIZy86/pNHgbKkPYGqLqVNbTPX398/Pl+JV+3kYNmzYjRs3JJU3xGIxnU5PT5e1eh8SEtKpUydnZ2cAM2fO7NGjh8pVqhPpB5yd4SxzEkaSWLAAzt0iul50AnC0dUScH0qVjVOAj39EHN8DOzvVuMK/pmkpy8uXvw0Y8MrXV2PSJEREYMwYFYwloVL77urqev/+/VatWoWEhPj5+UlOuri4hIeHd+3aNTIy0tXVNTExUZKimSTJMqktLl265OXldePGDV9fXzMzs1OnTv3555+VajW1g82N16md/77FohOFpHiQk5mrlX55scBRzp3X33ZYcoVOgBRjZX/7SnsOItqc97tIisWLejQtXn2tIot7Nnv44XOb1TdZdEKn94LSl9pY6/VxNBu95xGToAlEpFtDvQltlVyf2T7SafiuUBu/CzQaWHTi2KRWwXtDletq1yhXl+VXlp9/tfz8KwAGXLWVAxT++W4b2dJnx6NGCy8AYNCJg+PcSZhlEwAAIABJREFUFGq+Y5Rzp7W3iv/tlvWxo6qolSY/P//AgQN9+vQBkJ6e3qBBA9ny/fr1Kzbojx8/dnKq/KVcUeqEca8UgsDSpWjWDJgfAcARiIqSLsnnY+JELFyIxuWW7gPt3LZs2eIINGkia9afkYFZs7BsWVFkTlAQrl7F5s2KKSwU5gFgs+HpiWfPFGtbKY53IjZu3FjRV9CnT5+JEycOHTrUysrK1tb20aNHgYGBmzdvHj58ePv27U1NTQcMGNCqVavRo0dv2rRJW1u7dOFykUh06dKlDRs2ZGRk/P7772KxeNGiyjwSIVvw8iSAU0zkWtI+Mm30B20w0pLu9NDRYIUv9Ip8+qTerTnGGiL6E+AJQKNj0H5oSQ//6Eg+6eMztmMTQy671G81+SnO/17ykWBi2DGwv3mZQNguPD1U8lG3IQYUrVgSBC7P9HyZnBOdkj2y81isG1m63YbBLeZ2sb3/Ic3RXNfa8Ns5+50AvLlUqk9rZMZA/NXBQaNj0F5oFbm5nC11ny/ucuddOp2Gto0MGAQRLPUO5YDNIp4v6XorOu3G69ReLUxdGuhKl4s6hZsrkZ1Y9Om3kn+FuW3UWlwe+LIBLTWf+Njst+aefRV9UmqxGWELOycdnER+fm+iTtKfA8+BpgPQerKyt/VTw+FwJMlZDxw4sGjRojNnzqh8iO/DuANlIxcrCmRks2FpCd54p0jAHXhg2bm8jK3MGDA9PRgb4/MIJ4nPzAJoP73yZcwyNGgw+csXIjgY585hskp//JJpuycQZSv9Uc9kMv/777/ij66urq6urgBOnDhRfNLc3Pz69evl29Lp9A0bNgDQ09Pbs2ePXAo92Ye8dBi3AMDNSWqadApa22S3cBSEISsc+h2LPr+/jrh7sB8gVVgfWb2bl1s4fRWMpKewal/08d1VpL6Ehfs3MpEHkBkDU2cA4KUj6lSxcZfQ1ESzqYkmmZ9VflATHfbAlublz+PxfogKYGQPAJmxeHUGpBBWpW4k5i6aDy4WZzGIzrb1pN6XErRvYti+iUxvTOQhZMRATEJdF2JRE316ztcrOQJSrKZLo9GMPt0zyjgPRn/ldDCNOQV9G6ibAkDKE0TupYy70mRkZIwZMyYpKenq1au//PKLyvuvIeO+ffv2+eUCXKop/cDSpYj0LP6kzKvj6tWle1Am3IXLbTF/vh5JYvJkdJbyfPmxMHXCsKMA8PQIzla4KvgNdBZGfH3YLFPMfVyEGqekhyUVzGSN7Itkoi/h6DBlRilPw3bovwMAQrbghj8IZoka/1OZHVceNQ7UNDHzBT6/xT8lvs4tYYWbhh2j0+nYVOX1plZT0WIYABweioyYqvb2A3Hq1ClJ8DGPx6tUuKCgoEuXLu3btz99+jRRPR6uGjLuY8aM8fLyKnPSxsZGkn5AtXzrkq78W66sB2Xg8V6SJOh02FfuVVaAqitGQUFRHYwYMeL+/fsfPhTtry4/ly3D6dOnuVzu2rVrq08l1Rj3sWPH7t69W4YAi8WqsYqC6X9FGCwrMoIkqXCEMoDkeREmq0rMqBKROVyu7YgRubducWfMwMaNKtukKk+0TC2Q/wWx9wAgTe6oTzFZ1ERyrAQiUUkPEFegWFaRTOprZYaQCi+tqM/MD0VDl9xIHSgjLBJCkIuHW5H7TahGQ20CcfdBECiscvqBz2+Kbjn/S1W7+oEYNWrUqFGj5JcPDw+/fft28eZwY2Pj5ORKdkIoijLGXbKXvfSZU6dOScKi//77b9XoVY79+zF8eNGOUD4fp0+jXCKyoktbt6Lv+Aj7nU4AGIyPig706RMCA+EzNaLRZicAB10jEhbgyBHFOnnxYrKnZ7e+fbmTJmH2bFSw2VMZ6px917XE26vY1wcAxCSYbDw/WZEDHQD4mYgLgagQ+3oXZeOh0aBrqdig+o0hysfeXoAYIEAwoVnOL69nhZdnsLdX0RAaUqJ35IIk8XAb0qJg0wm6loi5g5g7RZe4RshNLbr3olF0cXURBDloPgL1VfrPJMjD2SlIfoYGbdBzPQhpf7kGjfD+OgQkLs0DICz1yFvfVY1+oB8AiElkxuLzW+g3UlgHfjboLNzbgPubiv7tbH54n2N1sXbt2mqdtkM5404QhIaGxr///vvnn38aGhoCYLFYtrKXKasGSeLCBTx4gAkvnAD8YxMhFks37mw2tm6FkREwKmLr1q0IVTj4jMMBQeDxY0h++8nJ0NGppIk0NcwlbbOyUFlM1HeOzxEAEAqwoSnys6Cuh1MT8GAzJt6UIvzpJbZ7gsmGphFyUuD2G7oqVQeqWV9cmQ9+Nrj1kJ0MY3volvuW20zHyzNgcaHGQU4KHIZK66gyhHysbwpBLjiGeHoYZk5YVPHmlMRI7O4MpgaYGgj/D62nw2upMoOWJzMeGx0gJkHQkfEOTw5iznuwy/0uu64s/X2yGYwvX6NY+x3NFz3bT5waD3VdZMZhsyt6bULLkWV7kEHaa2zzAJ0NTRPkJMNlAroHVPG2KKoVJd0yy5cv9/b2njNnzuLFi7t167Z27dpff1V4a4n8EAQ2b8bHfkVToWnvKkw0xudj8mRMnYoOHZQci8vF+vXIGFk01p/xTs2uVRgts2gR0tOxeXPZJDO2tqs3bNB++xYMBrKkhGMoT92atgPLHy6/GHNRqyBXT4sea9a4obbV/lb/wyZHvDyLpr3LSp8ci3pNowZt/e3qb6xCrkXsiTeH7zDprF3eu2TkzCpmyYMlV2OvAtAqyNXTZjDsuu7pth9f4vCPtOFOjoOxAybefJ72/M+LY80+HHlz+CYAJp25u9vuhpryRa9fmAOycEdP/32vDtHraVnlxsXtd9XSMj3T55vAteAPwatDV5vwMkSmxqkauupM9YuWcxjn/0Qn/wrTDynEkaEQk5h4C6aOiL6EI0NwcgKGHy8j9V/Uf1ufbOUL+ZKPTTaX7J0zHWs68sGCLAvzbA2dGS1nDHhzD5fmKmbcT46DQePhFg3jsuPYhtwGH8+8OfKgm1X30huVKeoUyv/yPD09L1++fODAgSlTphQUKLYZWgmKLbuEihKNsdno2RM6i50iPZ3cD+8kSWkBbZVRbNklyFj0nTEDE144PW3vFOnpdOWXkhyKdLpaVBSTJMHnY7p88SPyUNcsO4DwT+FaalrDChnehLa9gcPLjJfQbQCuIWKkzdyzEmHX93n682xBtrftkIG5eYMMXb/wv7zOkMsn/vjTYy22Vh+bPsMK6Y3oGi8+vwIA3Qbg1MOH22Wls5Ml3qHnn5+n0oSDcvIGGbXqY9Mng5/xJv2NvLeX8gwmjqGfIph0Zs/G/XsIxF0ZOh8yyyYlDksJE4qFw3N4Xvot+tj0SeGlZNr1gViMT8/lHUg2GbGgs2DqCABNugIEkqSkIQtLCSPFJJNg/qL3i7W2NaFe8tedE5kzIjvXy6KLUCQMTQ6F+1SFne+Z8Wja+/WX1/YG9t62g/vn5hmA8Sj5UZXui6I6qdK0Qltb++DBg61atWrevLmqFKqIMtNnsuJFuG+3gyoTLWN9Tt7Adv0KHLnq6tYAhELY2qomt3BdxlrbeoSh08iM9O7W3QGAnwleOkykhdxxDCRWmElnztZ3787LneG5XKE4sMa6jWe7zB6h7+KdnV10ip+JvDSYtig3lj7eFz1gNMS0brzcGZ7LZ7vMptPKJq6RhZ41Ul8BMNYwnt1s3MAvn/s2lL5NXIul1Zem+RuvYLbLbABEzG3QxDBUUfCyphHIQmTGA0DyM4CEvvQXHTWGmoG6wdFeR9d3Wl/6fE5kTjeBeIZIXZetCwAvjoOuYJ4vbj3E3AXQtWHX2UZte+TmNjCQmTCEorZRwTvjiBEjgoODRSLRp0/VWHBg0qRvPs6cKWc7KZnKZSMQ4LffSj6uMIpYuFDRPpCT84RGA0Hg9WtU2xpzXaLLShTmmZyZrl1YgHW20KyHltIiB3qsR8wd46tL9QrysL8PmvQCS6n8nF1X0IUFRgU87OqCtU3AMZLiYei+Hu9vYGOLenc3mhbw0KwvGIrH3XYPQEF243d3zFKi8Pcv0DITNiob0VtCt7V4dx0bW9AAtZMT0WyAMiNKpf8uiIGNdlhpih1tARr6KVzdRtx2Lh78Y54ea/7qIm6tQht5/4SK6LkBcSEGAr7+jZXY0x2Nu5L072YL5M+Jyv55YmNjbWxsxOIKgtKqBkmiUSM02RwhSdX7+TPMKw683L0bpSaNCtsOoRD29rDfGyEpnrfuI2RsDK4o9VteXuzcuZnXr+tEREAoJbG5ktS5UBkAwPus9wFRu4iO0zLfXoQoE64T0GmJdFHrDpj8oODiVJ4oZYtjL56JHcICSBlvYeV48+VNQFgAgPcOXXhJYRATcJsofbhGnTHpLm78T5SfGEdnB1jaISwAgEihgEUNPfwZ/eVotwRh7o7GrbIsWn9+KT3yKVuQHZD9nNluom5MCJBZ0GU5x3WSVEllMHPEjKc4NBjZSTBugeEnwJW+86tAWMAv5A8JHiIQfbM9UNNRM4BVwG41MiHhVmOoY+gRNOmqmA6WHpgcKjg34CYheNa8J8/U/l38TRZd9ftUKFSFyoy7lZVVbm6u0s3z8iAjxzpBfJPAXV8fs2dLl+TzcfEirJdFtGuHrVu3EtKiZWSPpaGBefNKPlpYyHKab9mCtBYRGzaAIL7JCvn27SJra183Nyxfjg+VlI1TDElKdxm5ZWoYFxOXC+8vBL0LAgAmGho4wmuZrAaGtuY9NhHXJh3ivce79wB01HR+0ZPLfeFs7Hw55nLRWIC1SUt03SurgZEdfI6Ypj1n35hS3EqPrdfYQJGaQWwdq5Zj7r3Yt0+Yjg9nATTULrsY62rsevPjzaIh2KjHNNJyHq/AEPKg2wBTKgn9cjVyDU8J54v4rzJeASD5JU9NTUfNoA9BNNAIDV1Lp5lopKBll2DY2Myo+eWsWOR9wLsPAHpYqT6XIYWqUN64JyUlBQcHJyUliUQiMzOzXr161a9fvyLhGzduHD16tMxJsVgsnj4OdyLmzEFGBnZWWIhGAdhsHC8bRFBCpKeTeEPE8uWYP7+SPJRy8tdfsq6SJNLTZS0PKEekpxMGKLBdQrUQLPbxyGRna5EkW+8C1wWKxks01W96Z8id8ueFJHnmcWKCkFP65GdoHw772K95fTaL+Mv9r7/cZX7j0rA3tJc63MvknMcfvxDskuEIlsbhiERnSwN7s29y2U+0nzjRfqKMIXpa9exp1VOGgEBInnmSmCTUZCKt+GQqqXk0LMHKiPM2Oad3c9NvMqMpxWi70aPtRhd/ZDAY+JpzIWl30uG5j1OzBX1bmjGqEMBzoPuBMmf4QjIoMukTqamFnzrlbx1Eyd/Tnj17lixZ0qtXL3NzcwDR0dHr1q3766+/fH19pcqbmJiUz2nZsuU2YEekp5MPoLtP4eRcijLhRSgA2kyn1n0iVGLZZdC06ZYHD9Ru3EBSEtavr1xefooSh53cV1HisOpGt8efyy6+A975uJqv7K+yEoJ8Iem2/FpWfiHQoDNRkrHkOtHi+snnS8++vD+/o56GypwA66+83XTjDQCd3n7FJw37zV8S/BrAmNaWi3urbB08TyB0W3E9hy8ErHqgZFfdVbH91ZNFQS+Lz7648Wd7c93qqhCm3236qN3hAJaef/VofmdJ3Y+qk8sXuq24zhMIAVszVFhJiqJWUD7OPTw8XL9UsMiyZcs8PT0rMu6//PJL+bRn//7rX3xsaamcIsrQMcgJf1Tvs4TPT9i9W5PBwIYNMDNTWbd1weHOtip6MJ6KSFShcT8RkZCVX5RZXkyWXbnJLxQF3vkwt6vKNsrtfVD0/GAYl2zUZFsWLdYcCY9XoXE/HBqfw/+68EJIX+EvFIk3XHu7blB1RZ0xdU0lB9n5hUfDP/q2tlRJt3sfxPK+FstNoim7B5iielDyAU4QhOjbsmGiclXEKkVNrUI3zveOuropQUAkwrt3lQvLjzw1VGsMBkPhSCQZ6GlUUhhIuzIBhWDRZf3yGRWYYOXQ5sg1hdJWr6HgE12OyoqdaqvuXYpC5Sj5e/L393d1dfX29jY3N6fRaAkJCRcvXpSzZlgx+fnx+FpOYM2asIYNY5VTpiIeP5Ze3/1vy1u9jp8EVOwLL72TKy8vtl27kx8/ttywoeGjR48sLeNkNFQIG2kn3759e1zGUkOVKV2tKe/5VQ17LxrQzThftYM20GDH5RE0gCj9TyMWg0arxxbrJj8+flz6P6gSdDem73+vRorBj3kMFCWCz3t5W6NpO4KG7iY81d6amTo7KZ8QQ0yUeimhicWg0cQ0QAwdFmnNe3n8uCpLCZcOXePHRLAt7MRiWGiICt7cOy73Li7ZqAEmGuopeTSxGA60WNV0SqEilDTuPj4+nTt3vnDhQmJiIkmSLi4u/v7+RgomP3R1TZjzUQ8Ag+EsvnFMJHqinDIyGDFihOSgZcuWcy5dAkCj6dPT/t258xFJ5shsqjCdO3cu9lM5OcUGB4cAoNNdbtwQCIVS9hMqiZoeABqN5tuuneSEs7PzjRs3duzYobIhytGtW7ficqxeOmkpkZsJUvg0Aqq7KwBgAdYEgy4Wdx5XtA/NxcXl3t9/kwSDIIU776t0MMAaIAmGriZHU1MTAEEQHdTj0iM3E6TwcThU9hgBAGgAVgSDLha1/5qlw9XV9eGmjZJbk/z/ngcqHRIYMGCAuro6ACaT2dlMnBm+iSQIghTuuKvKUbiAFcFggByrYFWakJCQ1q1bAxCJRIGBgc+ePfPw8Bg2TEVp9ykAWtUj09PS0iTpwygoKCjkRF1dXVJTe+rUqY8fP+7fv//Zs2c7dOggqdJOUXVUYNxbtWr14IGqZx0UFBQ/NMXG3djY+MWLFwYGBpmZmY6OjjExVHUn1VCbG4ivX7+ekZFRrUPY29tLchEnJyffu3evUvmqwGQye/fuLcmUcu3atS9fqreUQfPmzRs3bgwgMTExJCSkWsdisVi9e/eWFBa4cuVKlmoTXZbD0dHRxsYGQHx8/MOHD6t1LDU1td69i9JJXrp0KSdHxc66Mjg5OUmq1nz8+DFU8XzUCqGurt6zZ1H0/YULF+Sp/VYVXFxcLJUKerOzs9PT0wPA4XCYTFUum//kqGDmvmvXrnHjxinRUFdX94a9FYCVxtZV1EEq79+/d3BwkFSLXr9+fYczByXn5Rlufsp7JYQNDp6RBP5zudxOnTqpqaksLKH8WNt+cd6+fTuAVatWeV84LkNbhe5FakO3h8/j4+MlayosFqtHjx7V90cYHR3t6en5zz//AFi6dOmhQ4ccHEoCLvN185MdkkV0kek7vZWIqa+W+zxP/99EhYsZChnst/U6FDA4qSEnP5zbqqenR5Ikg8Ho168fnU4HQDLIBKcEAUfA+cwxeWoCoIl61q+mL9QI0fE061uZisW3ftKyTdaxE+Vl92K/3rB+LYBFixadOHHCyb2peouPeUyBVpZe+mMVx4mfOHEiOzuby+UKBII23rbNB+gLCBE31Sj9paZqBwIQFRXVq1evVatWyd/ExsYmPz/fzMwsLS3tjz/+mDJlyoABAywtLderdmPIT4wKZu7KWXaUWs2fn/K+OoL8tm7dWjw5Kv0Mk2e44ojySoVLx54XjyIWi3ft2mVgoPptHcXDlR6r+Gp5bUurp9D3XLphqLt96eH27t2rpaWluO5yERAQEBcXVzxW796916xZU3zV5aALX8ingZbWLLVB/BdtkmynndSu+yBFy2L02HgvJzkLgI7nqNK3dvDgQTabDWDkhZG8NB6AzPqZQ3sMndJiCpYbozAfwGSzl5NXH4CufBnhgacJWX023wMALU5h4Zvisfr165dkevkBtwAANNLG9ms+y0eVSeYYDIbk1sRisWMfwweaeQC0LeIXdVnYpbVSpUsqxt/fX+JjkZ93796RJJmQkBATE6OnpycWiz08PKZNm6ZaxX5mqLxuUqgLe4WkUmcVqxn4Qr7EsgPIJxDDZLaQhJ/GKeyVisuoxEcRk13i+X2U8miKwFdi2QFATOL9bTjLa9zvvk2r6FIai1+cuDTu8zM5O6wKWXTao1cXVG7cMzMzP378eO3atdInORyOu7t7cZnQ8hAEYWFhYWFRVAhhxowZ6enpigbdUVQEZdylUDeTL6IOK1YzsBlsLpObW5gLgEOKbQq/Jj5sIiuvi1RsTTTDY2UtijTTbxaSVPTM6GTRCSwu2FrgZwMAQUfjbvKP1aWp0bor0VLdnyYFGnGsomeGnamn/H0qjY6I7Og6XOXdXr9+PSYm5uPHb0oWc7ncs2fPyv+SV62ZZX9CVJNioorU8MZLhYarVLhO7Rotr0zpM0rfePunKt1oWwWO9TzmbOTczKDZ315buc2HwagZ2s1BWwVTkwMHxrv3bm5qa6KVc116YvR/O/3b26Z3I91GUx2njmo6CgAm3IKlB0wdMfwktBSYXTY20twy3KmZmXZ9Rg6D/GYj97IhJzvlGLrlsEfBY3z/xYrehfzc2B7fNkfbPUd9jP7Q1vbeKu9fX1/fzs4u/Ftu3bqlkPuuipllKcpQyzN346PnTEzK1a2vHgLt3LZs2SKnsBJ2sHTK3+pDasrfvS3bbtiwQXYTpccCAG1tmYI1h7mW+X9d/yv6UL+t0v2wGcQmH0cAGvOlWzoGwVje5tsd1/rWGH1eueG62Rl3szNesWJFGu+bfdHGhuYbpt5Qrk+FeP86+Z/f4iVrxXUWGo3G4XAql6OQjzoxc6egoKCgUC2Uz52CgqIW8PLySk9PL38+MjKy5pX5IaGMOwUFRS1w5swZLy+vgQMH9uhBlXOqFijjTkFBUQtwOJyxY8fWq1evSZMmta3Ljwll3CkoKGqH8eNVXWmWohQ/mnEXCDBnDiqOHAGAmzfh5ISKYrRIEleuoOvXAsJ5eQgJQefO0oWfPYOWlqwyUk+e4OxZLFokh+pVIzwcJiZFVZ/OnYOeHpo0gb4+hEJcvw5vxYPfHj+Gvj4aNFC5porBAzv+Sx4AjhpDsTJ7Qj5yPkkOU/PSC1nqUNcGwCAYRhqKbZMRksJPeZ+KP3IYHB12UQLkzwkfCoRfk93T6KYNpObbrzmEQuHzt0Xh+YYmqt9FnJQW9ym9pDiBdQMHLQ0dADweLykpaV7p0vIAh8OZM2dOdSThoJCHH824Z2QgLg4DBuDkSQgEXKAkF7FIxAWwezfOncPKlRUa9+xs7NyJiAj4+SEvD5MnQ02tQuN+8ybu3sX//gdbWzAYJckGNDVbAQgPx/LlqHiDniq5dg0REQgIgKkp9uyBSIR586CpiSlTIBAoY9xv3EBoKFauhI3NN7dWw1wg3C6suQkxCIL2fkV3BVru74+PIQBesFgjTOqpi8U8gg5ADPF2r+2tTVvL39Osm7NuJ9yWHItpYgLE01FPAXx+dFLnwgQeiowXBwWHbf/xGar6LULyszBwwBX192wSAHr93ljl/U8+3TOZKaaLAUBAg+M1TuC0UACktDLwhYWF1I6kWuRHM+7Gxhg6FEeOYOBAiEQjWazTxZfS0vw3b8aNG5g8GTK8fDo6+N//sHAhFi1CQgJIEn9XnPBjxgzk5sLPDz16wM7ucPF5d/fgqVPZkr3x+/ap4sYqY948LFiA2bPRpQtEItDpOH4c//0HHg+bNyvT4Z9/YuFCzJuHbt3QvPkRVesrL4PI22vWrHmZnNNj4x3FWhbmw7ItfIOfvT7EebT2fmwsFmUAaLm/ZU6BYqkf84R5zfSbHe55GMDLzy+Hnivauy/gfX5LmtkufS75mORvI5RsYa09Ckm+fR5r7+THABgMxjpVuz0KaRiu3nX60LUAZmxun0sU7TnS1NRkMpkKJQ6jqG5+wDj3IUPQpw8kJV3V1UuyjtBo5PXrGDGiwml4Mba2WLQIL14gOxvbtkFDZkl6Pz/Ur4/gYOTkPC8+mZX1pKCABmD/fnC5yt+LQqxYAT09XLiAnj2xZg0+fEBaGjZvhp6ekh3+738wMMC5c8jJUX2RLAoKimrlBzTuubkICipyhhQUuBWfJ0l1fX0cPYrk5Ep64POxYQPU1QGgVEZC6Vy6hPh4GBlBS8u1+KSWlqPkYNIkxW9AWU6eRGoq6tXDpUtYvhxqaiAIVGUude4cPn2CoSG0td1VpyYFBUVN8H24ZQQCDBmCJk2KTNWvvyI1FadPS5ccORIAVq1CYGBYYmJJJiNd3cAdOyZNmYLJkzF9Ojp0kD5WWhomToSGBgIDERODv/7C4ME4dky68IwZ+PgRQ4Zg6FA0abIMWPG1k9MnTnjt2WMQFoZ+/aSrqlpOn8aBA7Czw7JlGDQIGRmg00Gn48MH+Plh+XKcO4f9+3H0qKxOdu5ESAg2b4aGBs6cwd69sLLCunWwtl4OyFykrjaO0TyPzztP0GgKr13QaIi9hyXaTdTYpJHBlHp6d/ba02g0sVgsKagiLzeX2725cVWD3Wl30zS6xNsMvpDPZrBpoJnS0kP920gE7ZADWsn+/sw8wfBdj14nZYMGO1Otg+Or9IA8fHHD2bj/4lkibREcRDYrJ52RKkaASFATjNzaAsAYfxU/kmdu7gg18d2sK4+2tqABmWrCegJ11Q5BoUK+j5k7iwUjI0RH4/ffMWUKUlPxNUtoWXJzQRBYvRqNG8PKKpzFKkmjyue7xsfj82dwODA3r3AsNTXo6IDPx/PnkFQBkiHs4AAmE3fu4PNn6Ot3LT6vo+N5/rzG06cAwKiRB2hmJtq3R1QUtm9HvXoA4OiIkSMhEiEjA5cuYfdufK04VCGScuKTJiE7G8eOgcXCX38BQHr6xUoVuHz58uzZsyXH0dHRPj4+pa9OmDDBy8vL0NCwbdu2Xl5er169kvO+jGmZvVqY6nBYTLqCxp2tCxCw6qRZ381WUGhZSPZs2NNG24YGminXVN5Ook7hztqejfrx2FoEjT4rI6uTsTuLzpo78VqcAAAgAElEQVR0bRIA41ZDQk1HfanXSvK/28a+nbsPKm46NDA0OTN/52jn7aOc4zLyh+9UvqRUSlr8nsSdukJNP1u/VoTzA+a7NfulvxIO8PzDTdDIHA3N0TDlnWIJ1mUz+98e0exUuzwbC359Lb4mW8CxFzbyajxShUNQqJbvY+YOYNs2TJoESXlFCwts3ChdTE8PJ09Kv5Sf7zBrFmxsKvG0aGnhv/+weTNWrwaAadMqnOMDGDcOfftiyhRMmAB1dctSV9QuXNAA0LUrvta7r17GjAGAFi2wYQNoNHTpgt9+K7q0axd27MCAARheWRwHm40tW/DbbxgzBmw2tm+Hjo5q1AsMDATQq1evbdu2mZkpUMbIk3y2ZugIkoS13/nIj18cLXTlbZkcAY9p6OS/4/afaenC2c/vw2EydMw7Hut46u2pZvrN5OokbDdMWlh3XZuxr/nJvicbb+sMdqNzrfssur8IANhaXr+urqjpm5ScQxPc3K30Aawd3PzX/eFuyibFOnbtb4YYW6beA9CttU/KP55v+NKTwbnbd3a3L1pTYkxj4B8lRyxPIj2xeaH1qhlnAOTl5XY86r7Gfq6nc2XzhR+LTp06SUpa8vl8NTU1Go2mr69/9OjRhQsX3rx5s7a1K8v3MXOXUJzSTrncdpLXejmDbtW/vm7KXk2VKCN5y/82GkwkGa6G0/DR6aDRIBaXvC5IDkqfkQ2DASYTYjEIAixFwsrLExAQsH///tTU1G7dukkNlVMIGmgihfoQQ+IkEYlFdBoBGiAmARA0ghTL35EYBEGSJE1MYxAMEAApImiEGJVH+IkhZnz1/9BpUGDMcpBi8pvXlhoJri2LWEyjFd0OwSBogEgskt3ix+P69ev5+fn5+flsNjs6Ojo/Pz8hIcHe3l5SFbKu8d0Y9ylTkJQECwsYGSEmBr//rnAPLNarNWvw+nWRq0EGu3bh/HlMm4aOHbFmDWTUMc7MxJQp4HDwzz8oKPhmobZjx3wGA+fPY+dOhVVVjnv3sH49vLwwcyYuXkRgIC5dwo4dGDgQ48bhyJFKHO4AhEJMngweD1u3gsnEpEnIy1NAgWPHjnl5eXl5eY0ZMwbArFmz9u3bN3369ICAAMXc3KWIpxm9+8Trt+WeGoNwtpR72g7AuhNCNuPl2aH6TinZscE6+nEMrHi4IjU/dVDjQZU3l+Doi8THjJBNlhr15p/unyDKf2jWdPnD5Xb6dpU2tTHUnHwwIjz2S8j7z78fe9rURPnKpYO9ZhUQmLa5Xcjzy2v2T4pS/2yl4VB5M5ViRpo+o7/bcsLvZtjpaTvamwpoHVz6FV/9/Pnz69evvb6lW7du2dm1HBtaA7x69UpSHfDp06fu7u4eHh716tXr0aPHiRMnHB0dGzVqFBQUJJG8cuWKvb29paXluHHjBAKBzF5VwPfhlhEIkJSEBg2Ktp6OHYvYWIU70dPbamOzZfly+PkhPBzOztLFMjJw4QJ+/x0eHujQASIRNm+Gm5t04fXroa2NTZvAYODt26lA0cvy7dtW+/bFTZ2qPmgQzp9Hzeyy3rIFXbti4kQAKCzE1q2g0zFkCIYMKTpz8GDRcUXs3g0+H1u3QksLW7Zg8mRs26bAc3Tw4MEBAQEAoqOj/f39GQzGkCFDTpw4YWdXuSmsiFBaY6+/bxloqh2aUMG/QUX0D8TBATg+2g0ifz1jf32d/FO92Az2ArcFTfWbyttJ88FIfYFbqw6Rhf6GBj1NjcmHfzXVb7q9i/QSH6U5PNF9WODDQdtDaKD9Yqx1aKL75vV3FbuFr5gaNhhpNOJcwqHp4X/oi+BcYLlgyi7lulKagCkXp/3T7njWmbwXQY3ojF/t/Upf1dLSMjExmTt3bumTTCZTU1P1xbjrMqGhoXfv3nV0dHRwcPj7778fPXp05MiR1atX9+nTJyUlZejQoXfv3rW1tfX19Z03b151lwL/Pow7i/VNwMnu3cp31bgxjh+XJVDGaz9jhizhpZWVZZY9lmo5dKjkuHPnsuH8/fqhXz/IZuLEomcDADa7St8zgPz8/GPHjpmamt6/f79NmzbKdTKQvLum0nBUqRAERhb9aLoBCpTFK4PXUngt5QJrFWxnwGVdmaWyynmjes4bhXmVy1Un/0y7XdElJpOpra3dudItJN+SlJQUHByclJQkEonMzMx69epVv379KqtZm1hbW3t4eABwc3Pz8PBgMpmdOnVasGABgKCgoI4dOzZr1gzA1KlTBw0aVN3G/btxy1B8d/j7+8+cOXPdunV+fn5CobC21aGoW+zZs6dNmzZRUVFcLldbWzs6Orp9+/Z79+6tbb2qhK5ukeeQTqfr6+tLDiRnEhISHj586OLi4uLiMm3atAbVn7bp+5i5U9R9vL29vb+msGnSpMnhwyXJGG7duiU5CA4OrnnFKOomy5cvDw8Pl1hACcuWLfP09PT19a1FraoPIyOjQYMG/f333wB4PN6bN2+qe0Rq5k5BQVELEAQhEn0Tb1Pm4w9Gjx49jh49GhUVVVBQMHPmzG3btlX3iNTMnYKCohbw9/d3dXX19vY2Nzen0WgJCQkXL15cvnx55S2/Txo2bLhp06Z+/fplZma2adPmv//+q7xN1aCMOwUFRS3g4+PTuXPnCxcuJCYmkiTp4uLi7+9vZKRYqv3aIj+/ZPevm5ubZAdT8+bNw8LCJCf3798vOTAyMoqPj5ccDxw4cODAgTWmJGXcKVRDRERE7969mzZtmpmZaWhoeOrUKTabHRwcvHbt2ry8PB0dnYMHD9arVw/AkydP7OzsGDWTloGiDmNoaFjawy4SiT59+vS92Pe6D+Vzp1AZ3bt3v3r1alhYmKmpaXBwcGJiYkBAwIULF8LCwkaPHu3n50eSZGhoqI+PT4Ek1T3Fj0JKSkpoaCjtWzQ0NBTaxBQbG2tsbFx9Sv5sULMnCtVDp9OFQuHp06fHjh3L4XAA+Pj4uLu783i8W7duUWGRPx7GxsY6OjoPHyqfHA2AlZVVbm6uqlSioIw7hcq4dOlSt27dsrKyTE1N+/Tp4+/vXxwcSRCEtbU1gLlz5167dq1W1aSoK/x4m5jqFJRbhkJldO3a9eLFiyEhISdOnNDQ0Khfv37xUhJJkvPnz69d9SjqFD/kJqY6BTVzp6guevfuPXz48IEDB3K53KCgoGJDT0GBn28TU81DGXeK6sLS0nLmzJne3t5qamoaGhqSlO4UFBJ+tk1MNQ9l3ClUg5OTU3nzPWjQoEGDyubXvXr1ak0pRVF3+dk2MdU8lM+dgoKiFvDx8QkLC2vdujVBEGKx2MXFJTQ0dHil1cIo5IaauVNQUFSVwsLCrKysMnFQLBarbdu2tIorm5fZxEShWijjTqE8CQkJLi4ulpaWAPbt29eoUSMA2dnZU6dOzczMtLGxWbduXWJiYnmZMnz8+NGiopLnFN8DWVlZ8fHx8+Z9k3Gew+EEBwdraWnVllY/OZRxp1CeuLi4KVOmLFy4sPTJI0eOODg4/Pnnn6NGjQoLCyssLCwvc+nSpRMnTrDZ7E2bNqWlpe3bt6+MAMX3hYGBAZfLreImJgrVQhl3CuWJjY198+bNhAkT2rdvX+wttbCwOHr0aHJycmJiopGR0b1798rLnD9/fsmSJRs2bEhISNi+ffucOXPkHPF+wv0dz3cIRILeZp4+r+8g6yNMHdF9LRhshTSP/5K3KOhlSla+hmOPMpf4AnJh0POopGwLffXlfR0MuJWXCReQguWhy1+kv2hIYy9MTdUpLETTvmg7UyGVZHM99OTJsL8LITBmWS6beEy5TrYd/yvy01WIYW/kOXWwUvWtKFTNmTNnevTowWQyVd7z92TcIz2dio8d70Qo2nzCi1BJD/K0VWgsifCVX2rCsSAZyxOIsnWq6KoEidpKfGnFTSqV19LS6tixY+fOnUePHm1qatqhQwcALi4uc+bMGTJkiLq6uomJiVQZPz+/rVu3enh4ZGdnW1hYaGtry6PY8ejjyx4us9W31aIxt0f+k50v/FXbHi+DEH0Rf7yF3DW436fldvn7jqmOekN9DbrON1sihSTpsfoaKYajhc7juMw2q248WNBRT0OWfSdBdjnepUBU0FrNSJj6sB9b/aRafb2by/DxPoarpsriyWvbNnz8pxGNrU6qh9NeTtzsvmOqwnPkJbuG3WRENQWXBtrR3POJ29+u/PV05c0oqpMPHz74+vomJSX97MZdVUR6OinxbJDRm6q6qguUvp1Kv6hevXpJDnx9fR8+fCgx3P/73/9WrVrVvXv31atXHzhwYOzYseVljI2NlyxZAmDWrFnz5s3z9fUVi8X+/v5WVlYyhvvnyT99rPss81iGE+OeZQlH6qn/OuIkBHlYbYHIvXAaI+c9LjkbZaarfmd2BwAa0zoAJR6hAw8T8gvJp/5d2AwCQMtlV1deeBUwsLmM3s68O5MlyLrvc19jkzNMW3Wmp6yoZ7e2/SLs7QYhX9FXCqlcjN7VjNTaNu0BgJDnl2eG/xH56o7jL4oVaH2CqI4iuyVTjwBYsXvcXSK06opRFFO+QPHpyh6dgwYNCgoKKiwsrCaVvptQyJq0oXXWXiukWA3cxaJFiyQl9J4/f168UlpYWCjZjUKSZGFhoVQZCZcuXfLy8rpx44avr6+fn9+pU6dkD8cr5LmaugJAZlwzHSsSZFpeGlgaUNfHpyj51U7OKrA1lr7K9z6dp89lSiw7gAb6GnGf82T39u7LO22WtgZDA/xMWLax1LJMyE2AZWuIaUhTTSm1PHqhLrMoXWJre29dkTjspcL5eb4w4NKkq+S4o4tPuupnihSKcfz4cYFAUH25r78b467CuXadGkshFFKsBu7C19d3xYoVXl5eaWlp/fv3f/To0YQJE+bOnbthwwYvL6+IiIhRo0aVkSluKxKJLl261L17d29v73379q1YsaJf+cnPtxiqGx59fRQA6rtczHzJJBiGGob49AK8VFh3ll/tZvW1Hr7/zBeQAMr8CXhY66Vk8d+n5QLIzBO8TM5xsdST3Vtbs7YZBRkvP7+EjkX+473P0p85GDrg/kbQCBjZya+VDHQKNRLJOL4gD8DWowuy6OjpOU7RTkwF9CtP90iOj91ZY1Hw3fztUyjH9+SWcbwToZDT3B0ItbKX2o8KxyqWrBnkHK60/vJ/aWX6r3Qsa2vrK1euFH90dXV1dXUFcP369YpkiqHT6Rs2bACgp6e3Z88eeXTTUtN6mvbUfq89XQwNHU13Xg6WaAOAmAYDa3l6kNBQXyObX2i76CIAw193l77k3czIOTzJa/0dPQ7zC6/QTE/9D68mxVdP+/fthBJvRhxhbr/oUSvTVvW59YecGwIOaGLQC8UXXxyYnZDM7LBQ/mUA2czst33uhWH99rnqCOlxLFH7AhtTwwblxWZv6XafXZLAp8s22+LjievcnrNy41nprXfbNcvReqeZ7aPdv3wPFD8S35Nxh+JLgkpT3EOlfuca9uHIGK6Mu7z4QNEpfLF8cSe3mtsopmX1UCAscDd2b2rQ1PLNdW7yC399bTh2h6UHTv8K3mfoS4mgl8qnLIEhV22cZ8O49PxtC8ZiYafSV4/92uru2/Tbb1JbWuh2tzcpfYlL5kQbdDTrvQjA1TN7PTOLvKrOxs45gpyOlh0bcyw7f0nxijmUPf6KvqmLKm4aABrXtz88OnTT0d+zRenjm/l0chsgVYxP5tnms6d1XA8gOuHJusQdxZeC1kWfvxqU+iX58NPVaiRze4f9jRs6qko9ALm5ucnJyeXj3OfMmaOmpia1SUhISOvWrQGIRKLAwMBnz555eHgMGzZMhVr95Hxnxl0eKrW2dc1ey0+dVazG4KhxZjnNQhYvNDmqgM5E700AcPpXRfuhE5jkaQ1g44gX5a+2bWTQtpGB1IYMloapZRMAJEuz9Hl1hvoS9yWSY3HMIbFeQ0VVkg2bpTFn5LZKxQjQJAut+cJ8JJac/5SU2aJJGzqdfvTJGiaTqVrLXhFCoVAsFld0tVOnTpJKpDNmzHj8+HH//v23bdsWHR0tWWn/7qh0+bTm+QGNe9X9JDXsaZGfOqsYxU8Ol8s1NzdftWqVEm1PnDjx4sULAwOD8ePHOzo6fqfGvQ7yAxr3SlHtSmPdMbgq16Tu3FoxYSlhw84P0/kSr6FO6AjysbMTAIhJRfv5zBP0+/c+AI7bYIUaMpIfX/tfTwDWhTkolTQlPT992PladimIIU5l5v/6jzsAkkaCW3Jp5JxWk7e0AZDGLtCtY/Vr7ezs9PT0AHA4nOoI967jVF8o5I9p3CXme+vWrQgtWf4KtHPbsmWLQj0oJGxoaFgDQTaSsTZu3IgoKcF/Ko+QkXSora0drdp+lcK3me+1j9cAMPSZWoX80WCDrQsATbrD2EH+fnzczBOzigIcxYV8+RvybHokJj2SHAsZ3BTTthLny6BGg9Lz04vFvC29DdjSvTrVSmvLvrTYoOJHjmNyyV+3QCDSBhs0WBWodWjmU/O6lcfsK2lpaVu2bJkyZcqQIUN69uxZ23r9OPyYxp3ih6R/o/79G6kgxsPeTHvvGFfJscaUs8C/cjbsO+p36R0a2m/pJO+8ofoY1vP3YSjRkMFgrJtadHx0wyOhUEin02tHM2m8e/eOJMmEhISYmBg9PT2xWOzh4TFt2rTa1uvHgTLuFBQUtQNBEBYWFsUJQWfMmJGenm5kZFS7Wv0wUBsZKCgo6gSxsbHGxsa1rcWPA2XcKSgo6gRWVla5ubm1rcWPA+WWoaCgqCoZGRkfPnxwdnYufVLRYh00Go3D4VSDdj8plHGnoKCoKu3atbOyspo6dWrpkywWS1NTs6ImFNVNnXDLjBiBgQNraKyoKAwciPDwCgXy8zFmDN6+Lfp4/jwWLapQ+NgxrF0LkahCgWHDau7Wnj3DwIF49qzkzKdPGD8eiV93Kh48iPXr5e1q5kxkZQEASUJXt52qlZWXLHAuv0wRkgpHsheRnYS01xCLeYW86IxovlBm4CODdTnqkyRrmMIU5CLlBQrzi0+k5qW+z3wvRoVbNHMZgkO3ggRCgTLD1RlEIvLQzSBmPW6TJk06f4unp6eMAqpeXl6O0qhJ5X9sanPm7ux8JyhI8+5d5OVh+vRqHy4jY+arV1i8GPb2+Pb18RvU1TFxIpYtw8KFiInByZNYurRC4T59sGIF1q3DhAkwNS1J1Neq1aMzZzRu3kR+PmbNUultSCMlZdqzZ1iyBG5ucCgV8G1khCFDsHAhli7F3bsICcGyZXJ16OAAZ2f4+WHJEuzZAz29jtWkeaVcJpwv74vgqjEezu/EZSv4c320AxdmA3hj03YCMyeDn1FPo96ernvMNc2lihv1Xzjj+AsaDZPaWc/taitVRjrJT3GgP3jp0DLF2MvQsTj8+vCK0BUAPMw8/u30L0GTMosKKmgfdAmrbu24O3ukNkeuciV1jVwer83a3Vn5VoCHA/eWQm3PnDnj5eU1cODAHj3KFsP6SThx4oS/v39ycrKzs/OuXbvq169feRtFqM2Zu0iUefkyV2LZO3So9uEKChr6+cHODosXVyLZqhV++w2LF+PgQSxdChnfuZoaFixAVhamTgWdXuIuFAqzz5/XyMvDrFnwVKymgjIIBA0WL4abG8qXq/PywrBhmDMHt25h2TLoVZK/toQRI+DmhmnT8OkTYmMDVKuwouQWCLfefq9ws9urJf89kBWVwc8AkJqXeuT1kYrE2Q1bAhCLsTckVrGBHm4BLx0AspMQvgvA1qdbJVfuJd6LTI2U0TSb33DdmQOKDVdnWH92f1Z+UX2VlwWKTbo5HM7YsWNtbGyafEs1qFkX+fDhw/jx4/fs2RMTE2NiYjJjxgyVD1GbM3c6XUdykJBQMwMSNBoyMkCSladizc4GnQ6SRF4lpRpQUAAeD2w2CKLEuLNYRROxmrk1sZggCKSmSr+algY2GwUFyM1VwLiTJD5/hoYGeDwwGNzKG1Qz6izFN+DQi8rjsUo5ddTo0pMUloao2JlQwUBqACAGaJCUXmIRJZX5mPRKttSzmZWXaa2baKiVaE6jVeydrIDx48erVJ3apHyiDtnbxUNCQjp16iRZgp45c2Z1vL7UpnEXib64uYVGR9ufOqURFxfn7v628jaK8Pr169IfxeJbPj4aR4+6TZiQP2TIAxn2/cULs7Awq759H2dkcBYv/qVnzydGRllSJfl8VlBQS2PjLG/vN/fuvSw+X1j4uW3b0GfPHI4fV4+JiXFzU3zWKZM3b74p8UOj3R46lH30qNvEibzBg78pnxYaav3unVHfvhFxcQbz51v37h2hr8+rtH+xmHbtWtOcHPX+/SPDwqzr1/9m3+CtW7c0NDRUciPleffu3bcJRsQATZ9NayyKvXYtVqGu6pkOb8rbzBDld2c53GTmphammjJNLdItrl0rKWNElvLm86Lvc5q0odHQp6G4tEylqBNujupXNPKTc7hWj/ObFF671o3d7Uj+Eb6Y35rTOvVJ6jVcA/D+/fvSoSMEkU+S6qac507aLRUaTk7KZGS8fv06oaL88sXYc+qbcsKTeM0JOr8l4zEwUrl+0v7P3nmHNZF1cfg3SYDQm4hSFDuIWFYBRUXXhg2sqKhrxb62tYsFxLKKvbddbHw2UBEV7L0gzYaKBVB67y0kM98fwYAY0kgA3XmffZ6dcuaeMyM5c+fec89JSzMwMJCvbXWcYcOGCRx6eHh4x47yT+JEiMjJqWgmTJiQlJQEQFl5PkUVl5YekruKkSNHzpgxA8CNGze8vLwAMBgNmUz70tLrQLbQSwhCTVV1R3HxOpJMAMBi2bNYvYqL3YUKMxgNCcKAx3sNUEpKSufOndPQ0AAwbty41NRUAGz2QorKLSn5R+63NmbMmKlTpwK4du3ajh07ADAYJkxm19LSQCD3270YqqquKSpaTVGZAJSUBjOZLYuLxU+qEoQmg9GCx3sLFANQVjb19d2nqqoKYNSoUVlZWXK/nYr88ccfEyZMAHD58uVd+w6QLDaLI2P4M4uglBlUIY8BgFQmGZzK3k1FRcXPz09FRYWiqJEjR2YWg8HJZ0CW+VtNFjePW6G3xADFpIjS7z4CJk2aNG7cOAAXLlw4ePQwU5XFzVVUHi9VVdULFy6wWCySJIcPH15QIP6lLhssLRUUkZMnTRo1SrosbAK6dOny9OlT+VpVw0jbcxdw6tSp5cuXX7p0qZOImUCZqE3nTkNDQ4P/qnPPzMycPHlyYmLiiRMnLCws5G5SnQiFpKGh+S/zKw2+S0hJSUm/fv1atGgRHBysCM8OefXcp0yZ8u+//4qX+54HDx6kpKRUX7sIrK2tzczMAKSnp9+9e1ehujQ1NR0cHPiBvffu3UtLS1OoOltbW37GpdTU1Pv37ytUl5aWloODA3/7zp07GRkZitNFEIStra2pqSmA5OTkhw8fKk4XAG1t7X79+vG3b926pdARJ4IgunTpYmxsDCAxMfHx48eK0wVAV1e3T5+yuuE3btzIyRE+byQXGAxGly5djIyMFKfiF+PMmTMHDx68d++e4lTI4txJkly0aFHFI97e3pMnTwbAH/yVED09vdttmgBYqiJRDMeWkkz+hlh5geTuZm29vb35hvW8eErCy2Xj/v370dHR/GBVTU3Njh07KqLygODWDlp0OnToEIDNmzf3u3qOf1DorfEvke2uBeqMfQPr168PQEVFxc7OjsViCRUTYYbkuv5tZ7dnzx4Anp6e//zzT4sWkhZHlYE7d+6kp6fr6uqSJMlisX7//fe4NhMpJks1L7FYzZBkKjeOPMYguXzhmDaTAAZ/l2QpK5XkmESdl0RLnr5lRgNrbmH2EI2Yndu3AlizZs3JkyfNzNukNBnIUdHSyXynmxhc1eUctn68xWilwgwlTk6hViPVvKSG0QE/iqU07l2g04xZWgyAIhg5sW9ifFapq6tzOBwjp0WabftRBAOglDg5PJaafuIzndRw6R+YcKKjo52dnWWrxPTfZPHixdu2bRPsNmjQgD8BKUdkiZZhMBhqamr79u1bvHgxf45bWVnZ3FyaRR8AKgQqbCnJlGTyQTCqJVZeICl4dVUMipBQnbQYGBgItJAk6evrW6+e/Cs2SHtrkj80EboqaiFJ0t/fv2LUx4+jjbI9YaG3NmrUqC1btkjblOSoqakJbo2iqEmehz2ufgh1662jpswlyfYeN7vO3rpuiCVfoPWaoEV9W03t3gTAgnMvwmKzbu69KVbFm4Qcp72PSYoCW6e09ItA19ixY0PqORSm5AFIb9jFbcGsYR2MhbbgtPcRm0teXzAMQGhslvPBJ/+7GGCgwa4kNtH7eWpuSeD87gA+p+V3W5TMvzWKopT0jSl+qAxBdG3bopWh1vGn7BCfzdI+rqpwd3fnF0SlkZCtW7du3bpVoSpkHHPfsGHD5cuXr1y50qhRoxkzZmhra8+YMYMfl6IgJK/3Vtcqw8kR+tYUzav43PoaKjpqygBYDEbLBprvkqo7mnHvQxpZxffxl8zyZRQ331Y5RJmYU9S1eVlHoZOZLotJBH+WbvhIxdSqbItCSm7xWNtGxaWyZnSg+UmQfULV3t7++vXrp06dmjNnTkmJwssySt4TVESvvI5A35qiaWeik5pfklnIAcAlyQ/Jea2NqpsYoJe5YVWrosz0y5cLOLSuskiFkbbq409lZfyeR2dwebBtpiuVDSVxr8u2CBhqsX2Cv8qyKIzmp6Jai5i0tbV9fHxOnTr19evX6rQj7Q+7mo6gjvgRRfDjrQmKXMtw1xIWyP5R7Od9wiN/a3jkcazNhttN9NXjsgrYSqwVA8sjGRgE8XfQu603ogBwSNJYR1WSNls31NzibLX/7uf8rDRWyXfLOM9O7zz3dMTXzMJRnUyHVDEmA2DH6PYOOx50WHdDX0Plc1p+vzaGP47JAFBiEu+Tcy1WBwGVA/VJThFBgKIACiTn79kAACAASURBVM9jM+9/SFs7qLUkxtP8vMhhher48ePHjx/P4/FElMh6+/ZtQEDlKaCioqJ6Ppf4cRGSIG3nvToFsussQgtkH/+t+86dO0VfUh11Ygtky8Wb8xvx8vLCly/Vb01m7i/5/dD9z2Ffs/tZGi7s24JVYVWnz7TO0RVyRrY1kbRTP/I305G/mW7cuDGt4Duvq6OmfHKqrdjLmxloPF/VZ9uND+n5xX/1bTnQqqFQsU3DrR59LA9kGuu4AJjO385+eGr/CtfEnOJ7UemGGiozejZrJ7HxND8pcks/EBsb27x586pib5KTk6Ojoysd5HA4ycnJkjt3GpqaYUaPZkKPtzPRri2fqKemvGFoG9EyBhrsilOypcmfBNuclOih7YyYTObc3xUYekRTp5CbcxddIqtXr169elVOG3vkyBFFBAvS0NDQ0Mju3BMTEwMCAhITE3k8nrGxsaOjo9zzEdPQ0NDQyIaM0TLHjh3r2rVrZGSkhoaGtrZ2VFRUz549jx8/Ll/jaGhoaGhkQ/Y499DQ0N27dy9ZsmTJkiU7d+6MiIgQMacnGh4PiYliZIKDRe1KeEruBATgxQtRAunpOHmyJix5/x6ZFVaJRkYiPx88XnmNPQBcLkQvgktJQWxs+W5CAuLiqhQuLUVysnRGhoeDwylvNjQUJInYWCg4CYV8KOQWXom+cj3mOvfbgtUaJiU/5WzUWdGlPxTNw/iHFz5eyC4WnlGVpk4h47AMg8HgfV85lCeikGiVjSgDKC3Fli3Q1sb3xXW/gyTh5YV27bB6NQAsXoyEBJw+LUSyuBhbtsDODosWgSQBKHZM/8wZFBZi0SJ06wZl5fLEGmpqxgCSkzFrFggCf8iY5loKzp7F+/fYvRsGBrh5EwcOYOFCWFhg+XLMmwdra5SWYtMm1K+PmTOrbOT2bfj5Ye1atG2L9++xahX69cP06d/J8P/VOBxs2ABTU0iV8enQIXC56NQJt2+jc2c8eYJ587BnD4YPx7hxst13TbD4/uLrsdcrHjnvdN5cV9SSbJIi78XdyyrJ6tOoj7aK8DnYFI0U3w++vRv11mWLD1rfErLl1NtTyixlDo9jomFyeehlFkPIj3dH+I5/X5dleWq8srHYZiUnuzjb8ZJjdkk2gLUoK2bW3qD97t67b3+5naSWpFOsI0d1NNVHRufu7u5uY2Pj4OBgampKEER8fHxgYOCGDRukaqRRo0mRkTqBgeDxIHpxK4OB9euxahXWrkVxMb58QYWsDN/BZmPtWnh4gMvFmzejKUqxfUIfH4wciW3bcOUKrK1DgLKubOfOz93cNPmlkWom/HL1avz1F+bOhbMzfHwwdCi6dwcANzds3IhZs3DnDggCU6eKamTsWKSmwsMDf/yBU6fQunVlzw6gceOZISGshw+hpobJk6Uzcts2zJ6N0FDUq4fHj9GtG/bsgY1NnfbsALKKsxgEw6ahjXsX96isqPl35s+7M+/GiBsiLvF85un7wRfAkVdH/Jz81JXUf5QJNgoOfhp88OVBPye/ql4AfOJy4069O7Wh+wbHpo6ZxZkD/Aa4P3Ff3239j5IZhRmGaobHBxwH0MykGZZId6cimH93PpvJVmYqz20/N6Eg4XzU+U6GnVKLUkcFjEouSIYhGivJ811CU31kHJZxcXEJCQmxs7NjMBgURVlbWwcHB4+T8jeak/Py4sXGaWlYsQJio2bMzbF+PV69wseP2LYNjRpVKdm2LVavRnAwCgp0WawqSs/JD19fEASiosDl5goO5uWFpqYyARw4gAYNFG0CADAY2L4dGho4dQp9+2LChLLj5uZYtgzbtyMzE8uXi3/OCxagXTscPw5TU+GVwXNzXx44oMbhYPFiMKVc5Kihgf37kZ+PlBQ0aIBHj8rMq+NQoEiK3NR9k7GGcQO1BgSI1AIxf1dBMUH8jYT8hFdpr0RIphSmhKWIWSVwN/6uKlPVsakjAD22XneT7i/SqxwNZBJMYw1jYw1jbr48h48+53we2mIoAF22rputGwWqlCot4hUlF5R1aJK05Zz3iqaayJ5+wMDAYOLEiStXrly1atWUKVOqWr4kAm3t9kZGhWlpko6Se3uDwQBB4B+RdY1IEseOgZ+1kMeTbpW2DGzfDn5wP5NZrktTsxN/wbmUHzPV4vZtZGZCSwv375ePYnO5uHQJzZohLQ3hEiQB/PABr15BRwdfvyIkRIiAtnaH5s25cXEStfYj58+jtBTKykhOhq4uoqIqLsaqoxAgAIQllblgCpTYQqxGGkYUKMG2WGHRAo21Ghfzigu5ZYlovuR80VNMZlMRqCupf8wuK4QZlxtHUqSqkqoSUd5ZUCtVVOVFGtmozWIdWVnBEyZ8WrUKhw+L9++LFyMmBrt3Y/16REbC07NKyXnzkJKCffvQocM1giiWr82V2L4dDx9CXx8XLyI7+7bgeFrarS1b0tu0QXw8FFDWXAi3buHAAQwdCm9v1KuHBQuQkYHSUmzcWDaotWIF9u4V7q8FfPiAlSthaQlvb9ja4u+/8eqHTmdGxoNlywqXLsXu3YiQcm7v6FEEBGDYMHC5YLFAEGjdGmvX4vuKsHUOAgSDYCx+sLjz/zpPDJoIYGSrkaIv2dR9k20D2xa6LTy7ejbWEj5eYVBo0Fyn+arOq8z1xGRU7W7SXY+t1+98P/cn7i5XXKKyoxb+trAqU1OLUp0uOTldcqo/sr4ENycps9vNvvP1Dpfkrn+2ftClQcpM5YjkCGWm8poua5rrNDcoMrBKsBLfCk0NUpvOPSfnBYtFtWqFVavERMuQJDgc7NgBY2NYWMDTE1UVHiguBoNRNq9Yr95XBkOBZSUAREXB0BBHjwLA27flo1KvX0/U0YGnJ9q3h4KLdpRbMmIEJkwou/2mTfHpE/LyYGqKJUvAYsHCAm5uYp7zu3ewsYGHBwAsXYoePfDuXWWZnJxwJhNWVli+/LtQHElISMD8+VBWhr09vL2hqYk5c2Bri+8rmdc5plhN6Wrc1VTLlEfxGASjQ/0OSzqJGcxuqdvyH4d/LjhdGNp8aFUyXeK7XBxycXSr0WINYIARMDSgU8NOTxKf8MA73v94B8MOQiVdLFzsGtqZaJqYaJpwc+Q5LDOk+ZBtPbZpK2uDgKGaoY2hTccGHWe2nenc0vnikIv2yfaaJZpyVEdTfeS2QrU6fP4MsZnHUlLw7h2MjQEgMlKUk0pKQlQUZK6l/u4dVq7EgAFlc4nTpiEjAxcuCBc+JK6md1QUihX78VDGnDmYMAE8HsaMwbhx6NcPW7fi5EkoK2PSJJw6BQDm5hCddX/IkLKN169x/jyWL4eaGigKWlpCSvd++CB1CGN8fFnk6Nu3+PgRSUnIz8f799CRKc4iICBg69athYWFOjo6Pj4+/FoifKZNmxYbG/vixQtzc3M2m717927ZK5nd/9vu8U670hKwdTBkN8wdy08lvcIZl7IkXRQACuMvob6khQ2UwEV+KjQk6l9rJITtDLmKwnQwlcBqgf7CnXvr+Df7Xt/hb1sx5VwRu+/zU32jXgMkCCbUYsFkoVQbTfojP1UJXDqbe12jhpz7u3fvfqyX1qDB4Kws1o0bOH++rLdYFQwGBg0qCzvJzoaPT5VxGmw2HBywfTtKS/HxYxceL15aUy0soK2NwECUluLlS6Snw1Z8ZqfK2NmF3bql6u+P4mKMFPMFLzemTsWuXSgtRfv2uHYNlpa4fBm+vpgyReqm2rTB3btYswZr1+L0aRgaDhecatBgaFYWcecOAgNFDY4JZdYsbNgAa2vk5WHdOrRrhw0bwOXKEi2TkJDg5eUVGBiorq7u4+Pj5uZ25MgRwVn+tqOj48GDB/ll7WTkzSXc24yuC2A+GI+349xELIiE1re8XYlhyEuGzUwUZ+FtADi5ODEMM+9L6K+XK3lj60G0HgLnYyBEfkMX5+LUCDTqgt5rEP0A9zZAtzFsf4hkAhB9B8V56DARwJ2jXuOlvF1RXF2I99fAYKDhb8iIRlEOtIzw+TbOT0LkxUVQ9mP2lKM2mupTQ849KSkpLKxySABBKB09aq6kBE9PiM0exg//2LcPACZPhpNTlZL8yOs9e0BR7TU1fWSw9tgxTJqEW7cAwNYWy5dL3QKDoXb2rDqAkSNrLs6vRw8A2LULABo3xtu3iIzElClwdBR9nRAIAnPnYs8ezJ0LbW3Exm4FRvBPsVgaa9ZoKClhwwZIO4n+229wc8OGDaAoMJl4/Rrq6jh4EGrST8VdvHhxypQp6urqAFxcXDp37uzl5dWgQQMHB4eJEydevXqVwZDHkGPoUTRsjz5rAWC0DzY1QsRJ9FhaLsBgof8G+P8JTi4A5Cfi+WH0WiVJ22yUAMBbf8Q8QNOeokTfB4BgYGIAAJhY4+sTRBwX7twBqOqg/wYAFwdvlrqusQjeXUWnKQjzRqepaDMS6w2gY4KsL4i8CIANzkClp3LURlN9asi5C00cZmQ0hMcj2GwoK0vUCN8FEIR4X6CsjG/pKaVeWiVogY+mTAOJBFHK36jhxGiC2ET+EyAIqAsJsJYUVVXweGAwQFHliWpJksPlgs0GS6a/HVVVQXARSkuhpCRjO1+/fhXU7GYwGM2aNVu4cOGAAQOuXr3q5eUlH88OgCJRsSkGQJYKE+MJ35YQUtwllQQIBqiar6NEgvj2T8VgAAQoEhWywBKVc8jT1DK1OaFKEKxp0z44OmL1avGjt76+ZaMxQ4di//6ybrVQTpzApUuYMwcmJpGALL5t+nSkpcHWFtrauHWr7HNBKiiKGDiwSEUFp0/j3DkZTJCFR4+wfTv69IGtLT5+hKUlHB2xdy/u3JG6KYrC0aN49w779qFJE5iZfVcP3dOzoGdPrF6NDCmnq9+9w+rVaNcO6urgcNCxIzgczJ4NDkdqC01MTOK+5UYgSXLFihUsFmv06NHZ2dlt2ohJjSsFv01CQjge70LWF1yYiZJ8dJjwnQDJRZAbSAr8ZUpqBrCeJp2KFn3RtIcYmdZOIHk4PQZZMQg5gs+30XZslcJF2QhyQ5DbsFZy/XW36IfQo6BIhJ/ANgswlJCTCGU1tOzPP3+9VPrhSxpFUpvOPSnpor5+ydCh6N8fJ06IkiRJnDmDSZPg5IQJEzB0KCqMr35HYSH8/TF7Nvr0QevWDxiMqnOjVMG7d0hLQ9euWL4cx45BSwu3b4u/qhKPHlkNG1Zw5gyUlYWnSVAE+/fDwQGurnj+HPb2ePcOLi4YNKjKZyWCN28QFQUPD2hpYe5cpKcHCU4lJp6rV490cUG3bvjf/6Rr1ssLnTpBSwssFhYtQng4Vq8GhwNvb6ktdHJyOnLkCD/LtL+/f1xcXFFR0blz5xo0aPD48WOpm6uKdqPQ5U/cWY/d7RB1BUMOQqfCAGLD9lDRwksffAwCSwmqOhjvCy0xQesCPEunYd4LjPOFsEQC38HWwehT+PIUuzsgaDnaj0fXucIlG9uBwcJLH7z0cWwp1+/yIfth1h08Lr4+RWE6lFRQnI1GXTD2LOa92IzZ4byW8lRHU23qRLTM8OFiBBgM+PqW706YUL4CsxJqavDzq5YxFha4eLF8t5qZLs+erdblUiFwtfwnsHAhAEydKiblgFCsrCCozE4QyM4W4i7HVt13rIp/vx8D7tYNgJj3elWYmZktWLDAwcFBRUVFTU3tyJEj7u7uCxYssLW1HTFixK1bt1iyDff8SD9P9Kti4tioA5bFyNxwMVSg10RS6VYDsFyCAlW/TcBvZb+NKSzWMFltE854X+HH9ZoUQQWg42XqFnXCudPQyICzs7Ozs7Ngd/PmzfyNe/fu8Td+rOxIQ/PfgS7WQUNDQ/MLQhfroKGhofkFkbHnzi/Woa+vLzji6elpb28/ceJEORlGQ0NDQyM7Mvbc5VKsg4ZGZsLCwoyNjfv27WttbT1w4MDi4mIAAQEBPXr0sLa27tu3b2pqWVbeFy9ecLm1UzuJhqYWqc1iHTQ01WHgwIH8NAOurq4BAQF2dnaVEhIcOnQoJCRk0qRJoaGhcgueoaH5SZDxL97FxaVPnz7Xrl1LSEggSdLa2trd3V2GlO40NNWHyWRyudwfExIUFBTcu3eP7rbT/DeRvTvDL9Yh2OXxeCkpKVX5d6GJwwCQJL1kmUZGgoKCBgwYkJOTY2RkNGTIEHd390oJCQAsW7bslojVzDQ0vy5y+1aNjY1t3rw5VSHXREWEJg6jKIoeqaeRmf79+1fMBFkpIYGbm9umTZtqyTQamtpHbs69adOm/LXgQhGaOOzIkSNKNZxYi+bXxcnJady4cSNHjtTQ0OAnJKhti2hoahN6ERPNL8KPCQlq2yIamtqEXsRE81PSsWPHH923s7Pz48eP79y5c+XKlYYNy0pq3Lx5U706iY9paH5O6EVMNDQ0NL8g9CImGhoaml8QehETzU9DaWnpxIkTs7OzLS0tvby8Kp3NyMjQ19fPyspycXHJy8uztrbeuXOn0Ha+fv3aqFEjxdtLQ1ObyNhzd3FxCQkJsbOzYzAYFEVZW1sHBwePq7FqoTT/Sfz9/a2srK5duxYXF/f+/fuKp06ePLlgwQIAu3fvHjly5OPHjxMTE1+/fs0/GxQU5Orq+ueff5IkmZKSckK2FPIAEiLweFf5f7FPKgukfcD5STg1Aq+rV1XgR7IT4DcNJ4chrOrKJtkJFc2rWInpdzMW4+keXF2EA11wYiiihSw6ofnFkNsiJtmg5k2NADo8qBwCL5QI+478DbHyfMnOQHBTK9kMk1xXDcM3zB6INO8oQkBAdeyv1JTkkrIp5TfSB/inbRehAqGhoU5OTgB69OgRFhZmbm7OPx4TE+Pj42NgYADg8+fPjo6OAGxsbEJDQ62srABcvXrVw8Nj586d8fHxhw4dWrp0qdD2xRAfgmMDweOAqQwGEzwumGysjC8X+Hwbp0ZC2xhsbVxwxcebGH5QTJu5KTj/B3IT0GYE+q6rUizpFQ73gIYh1Ovjyl94G4A/LggRu7YQH29CSQUAKOqcs6ogNnmJnTJx2x0UBQJQjsdJR/y+GvaLhDRC86tQm2X2BEjuRGSTrw41qav6/GitzPZXvPBeu+Y1o1Q0mZmZ2traADQ1NTMzM/kHeTzesmXLNm7cyN/t2LHjsWPHoqOjz507l5WVxT/o5uZ2+PDhbt265ebmNmrUiN+I1Bx3BJcDCuBxMSsYvdehUknoKwvR9HcseIOZjzHmf3h1GqS4zAfHByMuGDnxeLwLL3yqFAuYC0MrLHqPmQ8w7Q6ibyM3SYgYScKwNVYmY2UyZj4iKpxRV8a3YtYETGzQfTEebpHstml+VuqEc5cEmXuRCtVVw9RZw6qPJLemo6OTm5sLIC8vT0dHh3/w77//dnV1FQRuzZ4929DQ0NPT087OTiDToEEDDw+PIUOG/PPPP0OHDp04ceKECROio6OlsI+Tj9JvZeQoEp/vCpEpSEeLvmXbrQYABFIixTSbU6Fy3scbVYslwqxr2bZRBzCUEPdUMrt/gKKQn4x2LuCWyNgCzU/CT+PcJf/Sr/5ASl0bihFQZw2rPpLcmo2NDb/49ZMnT6ytrfkHc3Nz9+zZM2XKlLt37x48ePD58+e9evXy9vbOysqytbWteHlQUFDfvn3v3LkzceJENze3CxeEjWxUhbIGVLTKthlMtHQQIqPZAJHfyu++8AEBGIobFaxXoai05YgqxXQb4eO3DDmf74JXisb2ktldBkl968cTBLSMEHwQSqpStUDz01FDeVCrShzGR0Kf1eFBGL9/J1ZeIFl9fi5/WvERSfisxDYFoOfLT1GSSQqOyKZUNEOGDJk+ffqYMWOaNm1qbm7+/PnzI0eO8JcyffnyZdWqVTNnzszJyXF1dSVJslOnTpaWloJreTxeUFDQzp07MzMz//rrL4qi1qxZI5366XdwsHtZ/31nG4CC0vdro4Ydwb99sdkMKhrIiYftHDDEdZ4mXYP/LGRGo8MEtHaqUmzEUey1wSZTqOoiJw5WztCoJ0SMyULyG6zjf8R8l+aphEcBBEABFGIf4tNNDN4hyU3T/LzUkHOvKnEYd9tBQRdMEqTqvx84cADBwZI3LpuiGoZv2K5duxAp/JNfYLk8v2DEDVLL5XHxG/Hy8sKXL0IFlJSUvL3LY0VsbGxsbGz4240bNz558iQAbW3t8+fP/3gtk8nkR0bq6ekdO3ZMFvv0W2B2ML5W+IsyaivYzCzODONlWky/ZxLxPxRl47cJMLMT3yZbC6OrHmoXoNsESz5/vrUyoyDJqv9GVfPBwsWGHURU+dhOjyF/XP02Y7ridnHfRf9Q+cmxnwIKVPVb269iNWwrvBGaX4Uacu5VJQ5jLZopebQMvo3MSiIfYd+xOtEyUlHDQ+ER9h2ripap6vlI24uXTZ5PNeNzRETL1DDXY64/T3k+vMVwS/1vXwC6jaHb+EfJsVfGvs54LdhlEIynJtvVJNNy4dOFd+nvXCxcmmo3rUqGQ3Icrzon5ScxGUzyudtS5IwzFxJ2vDZix8UPFwW75OoWgu2s8Y3avdwAAASI4jSVO1OP9jvazqCdZDbS/JTUiTF3CZ2jQEysfK2E09ywqIl1MSJurarnI/lz48tIJS9UnWzPv05NF28K3rT4weJzUedcrrjcj78vQvJ12us3GW+0lLWCRgQd7neYxWCRFFnILZREy1/3/lr7eO2ZqDPD/Ie9zXhbldji+4vzS/Pvjb4X8UfEVKupW55vKeYW/yiWVpjWRLtJ4IjAwBGBhx0OE6zyeBmCLNsmCKJX414Wehbz7syTxEKan5c64dzlS53yEfJFhpChn+Vp1DU7A2MD+RskyOORojLiXf9yXYmppK6kbqxh3KVhl/YG7SXX8jChbCKKpERpeZ32elDTQXpsPQDzOsxjEIwnST+snwIAsJgsYw1jYw1jQ/Xvy+Yol/2foqiEvAR3O/es4izJ7aT5GZGPc58yZYpc2pELdXa4vPrQt1ZjaCuXTTMQIIzUjURIGmkY8cjyxEppxWmSa1FnlU/JNtKq8stPU0kzLrcsPX12cTaX4ppoyJ5eW0NZIzIjkkH8gh07morIMuZOkuSiRd+tbbtw4QJ/YciOHf+5KXg5RuZUk4qWVJxWlco8oY3IYIlsF9YdtvXcNu3GtOyS7CbaTdbYiYqrGd58uFeIV3JBcq9zvQpKCyQckOGztcfWBfcW5HHyLPUtZ7WfVZXY9HbTVz5cOefWHDNtM//P/g3VGrbUbSlU8mvu17FXxwLgkJyKx3k55a+flIKUtY/X9mzUU3I7aX5GZHHuDAZDTU1t3759ixcv5q/5VlZWFqwFlwpi9z/t20v6GSttqHt1omWkgq/OwMCgBlya6GgZoY9IWleraHnR7YiIlqlJWuq2vD9a1FC7ADaLva3HtjVP1mSXZCszldsatG2o3rAeW1io4g90atDp0ZhHYsUGNx0MYP+L/W8y3vxm+NvGrhuFirm0cqm4+zzgOYaXbedH5Q8cOjA2LzatMK2gtGC0+ehl1ssksZDm50X2fO4ODg5Lly5du3btgAEDtm7dOmPGDPlaRkPzs9CrUa9ejSoHg8mXwU0H8128CLqbdO9u0l2we9jhMLaVbWfeztx7fS+TyVSchTR1DdlDIe3t7a9fvz579uwrV66UlNBLmWloaGjqENWaVNHW1vbx8enSpUu7dnTALA0NzS9O7969VVVVVVVVCYJgs9mqqqomJiaPHz/+/fffa9s0IchhEdP48ePHjx/P4/HS09MNDQ3FX0BDQ0PzE3L79m3+hqqq6vv37xs3boxv2Y1q1S7hyC0cKjY2tkGDBvJqjYaGhuan4N27d3PnzgXw8uXLzp07d+vWrX79+oMGDfL19e3QoUOLFi38/f35kjdu3LCysjIzM5s6dSqHwxHZqhyQW/qBpk2b5ufnV3W2qsRhJEkC2LABsbH4oZZ9RTGMGoXJkzFoEACcPImrV3HmjBDJ4mKMH4/Zs/FDsoMyzp7FmTPo3h1//SXyfuTEyJHg8XDxonjJ6hMVhVWrsHo12n7LGjJqFEaMwOjRAHDxInx84OsraWsrVyIvD7t2VZn8atUqZGVh3z4pLJwyBebmUFLC69eYNg1bt+Lvv+Hpia5dUSfm4xmM57FZFka6BlpsScTzi7m/b71XyivP6r5puNUAq4b87fR8jsvhZ5/S8ggQrRponp1ROadCAan8PDrDpqk+JODO+9S/zr3MLuQoMRgjOxlvGi48M4xvaNz6q+/423r950vSsuRM8n5+PyoNAEEQ6spMJoMYaGW0cXib59EZ+aQyE0ViW/jlCQ4OfvjwYYcOHdq2bbtjx47nz5+fOXNm8+bNQ4YMSU5OHjNmzMOHD83NzSdOnLh8+fLt27cr1BjZnXtiYmJAQEBiYiKPxzM2NnZ0dDQxqXJhhdDEYZaWm1JTG2zciIgIeHiI0sVgYMwYHD0KHg9FRbhwAa6uwiXZbDg6Yu9ekCTevetOkokVbNjN9+xMpsI9e48e0adPqz94AB6v7IWkUFJTp71/j1WrYGlZ7tkBTJmCw4fB5UJbGydOYMwYKdpctAh//ok//8Tq1TA3L3fhlpbbPn1i+vkhKgp//y2dnQsWwMMDnTqhtBRbtsDaGp6eUFLC5MnStaMg6o9YM+FYOEEQC/u0nNdbVH0SPsk5JWn5JVO7N+Hv/u/Z15AvmQLnPubw09yi0vMz7Dg88k+fcJcjz7p+f/klqtOlw8/01VUer+jFZon6hs4t5k4/EdrT3GDFAItHH9PXBbxtaqA57ZveijyLyeSS1GgbUwCbzzyX6LYlY4nvy6efMphMRnsTneiMgrwijpG22vOYTOv1t9LyS4B2zZAovpVfnWbNmnXr1g2Ara1tt27dlJSUevfuvXLlSgD+/v69evXiZyr9888/nZ2d66hzP3bsmIeHh6Ojo6mpKYCoqKht27atXr26qsJ7QhOHdeiw9dAhWbmbzgAAIABJREFUIwYD69ahQnJW4YwcCQD8nICurqI8Jt+EffsAWGpqFlQ4w+J7dsl7r9Xh7l1VisKgQVW+h+RIcbH5ihVo27byO7J/fwA4dAgAxowp68JLiL4+9u7FnDmYMweqquVTKQTBWr9enSCweTOai3eA39G2Ldauhbs7ACgrIzQUOjo4cADKymIurBlUm3YCQFHUwfufJXHuAAgQqwe15m9fjvjOu31Oyz8/w66TmS6AbaPbuR4P7aohpIWMghLvR9GzeopSF/g6mclkHJ1gDaCZgcbdqFTfsDihzh2AtqoS3ySPIbIW9BDG3ajUcV0a+zz7OsbWZGh74xZuQUY6Kh9TCtILyiLloiFqHe9/BF1dXf4Gk8nkF5ARhJ/Gx8c/e/ZMkASXP16vUGSPcw8NDRWUvwHg6elpb28vVVVVgmARBCgKRZJ9z/F4lTdESBIEKIoAiEqnvstyrTAIgsFXJNZU+WmE0HhULrfyhuSQ5eMN5f1Kgij7m5Et/JXL5f/TgCRBEOByweXWFecugCDk8FdCgOB+e4Jl2dRFyIqESVAgy02iKDAIMZfIHYIiqG82kOS3HxLxnUQNm/RzYWho6OzszF/DX1BQ8OHDB0VrlNG5MxgM3vd+iye9G6Oo0t6973z50nrjRsNBg142bpwuQjgkpOnz5027d/9QWsr09m728ePHdu2Er2N89Kjlq1eNeveOfP48lSTLB08pitO9e+yjRy1HjMCsWbeEXlsdSktLK+qysPjw8WPzoCBGfHx8jx7v5aur0l8GRT13dmb6+VnPmpU7YkSI4PirV6YPH7aysYlWVeX4+ZnHxMR07vxZQhV5eezTp7uoqxc7O0ds2hQLlH1b8Xh5gwbdf/PGcvVq/aFDw42MpMg/9eWL/tWr7Zs2TY+L0+NwmGZm6ampWlOnEn/88VhZuezl8+nTJyUlJcElsbGxt27J/x9LAFnhDVb08Zlqi84EMLARJFGalA8K1LQDQfzdnELe169fb90qq25qrA5X72dT2yjxKPz7prSROvH582ctLa1KjeiqoAkn5tatGBGK2FxwSXLAlqARLRjvMsmHH3kurZSEWpiYyM3I4/FNYrf4bpT/9u3bDLHFQ6qmtTbv5NNYCsSB66/XXnzNZOBzUpYSg9BTITJLKIBqTtHDMqIYNGhQ165dXV1dmzdvvmDBAgaDcYj/Ta0wZHTu7u7uNjY2Dg4OpqamBEHEx8cHBgZu2LBBqkbMzJ54e58FoK7ueOxYXlHRvaplGSYmj7KyNv7vfxcAaGtPf/Bg/OnTLkJFNTTGcThvvb0jAIwfP55/0Nzc/PRpu9OnoaU1XE1t7Jo13hyOiOJCsmBpaSko2slkzrxxIwlAgwb/BgenBQYul68uAJO/DVRbWFj4+c3dvh0sVrPMzK4rV14gybKZbROTh7m5e/z8jgPQ1BwTFjb30iVnCdtnszuyWMH5+WdfvybZbLaWVtnTbtjw5oEDpwGoqw8/ciS1qEj86nkBRkZXi4uDXr0iVVQ65uZupqgtqalT69XbvmNHSlaWl0Bs+vTp/A1LS8uAgIDly+X/9ARYW1urq6sDIAjCKudpeshLRkHm3VvFwmqk/gBLhdl59p2oco8ZfOXqi9SyFznJYhf/NmlXeAMCFCsvKe/W8ZfcktmzZ/PPWlpa6u3eTCprMvNTVl0Vr0pdr1lUmxHrM9UIkqcSH3r9VuB1YWJczQYM/WaPowCgdQszNpsNQElJqWfPnvyR3+rAaDuaY9A6OgegSIJTmFFIqqS9VYsK1NEwZHAKJsyaWs32f22aNGmye/fuYcOGZWdnd+3atWLZGQVBULKOU6SlpV27di0hIYEkSSMjo0GDBtFB7jQ0NDR1BNmdu4C0tDR++jAaGhoamjqCHJx7ly5dnj6VZV4+PDw8MzOzmtpF06pVK348T1ZW1o+xmPJFRUWle/eytE1hYWFZWYothmBhYWFsbAwgMzMzPDxcobrYbDY/wAtASEhITk6OQtW1bt3ayMgIQHp6+osXLxSqS1VVtWvXshjF4ODgvLw8hapr06YNf61fWlray5cvFapLXV29S5eyYfdnz56JWIYiF6ysrOhv9zpFbTp3PT29222aAFiqoldNG4QSHx/fpUuXf//9F8DOnTt7XDjJP64gdffv34+JieE7XE1NzY4dO1acGJQXW0rKXoeHWlsfPHgQwJYtW/peOcs/qKBbu3fvXmJiIv/7TEVFxc7OjsWSf/Vdwa15t++6e/duAOvXrz969GiLFi1EXldddU0u39bR0SFJkj82XZ1ZR9HExsY6OTlt27YNwNq1a0+cONG0ZesUM4dSVW2t1Dc6aXJ+jd2+fTsvL09dXZ3D4WgYmDYb70Gy2LpJzzSzJJ1Ul5zo6OhRo0Zt2rRJ7i3TyIwcfqKusgZyCwIVtpRkKqK8w4EDB4K/5XOvGMyjIHUGBgYCLSRJ+vr61qsnUVJvqRBU0hA8vRq4NW1t7Yq35u/v/2PUR/URemujRo3asmWL4nShwgMkSfLq1av8SUhFsHHjxrS0NIGusWPHvqg/ID8pB0Bao57rVvwlWAAlF1gsFv9JUhSlN2hhkaYpgJRmjj5/9WhmICzkvhq4u7sXSRjRTFNTyKGTMnUqPUteQ9SRkk+K4Be+NRF8Si8fKgl4laQ4RcS3uHiKwo3IZMUpoqk70HUUfyZ+gfJ1VfEL35oITLTLvxJ6taqJqAQGQfRoRY+M/yeoE869hn/Yv7Af+YVvTb7UkQd1Znrnjo11jXTYs3o2G9nJVHGKMm8ftmigaayj6j6kdeuGmopTRFN3qGXn3uDsFUl+ZiSJkSNx9dtaj5MnpcuBxedIG9sOD8I0/w1zdkZoqNSXy4a7u5zzHXZ4ENbhQdiDERMqHjz+W3f+8UrCo0bhbNlUKy5eLMvPU4tMmQLB+HloKEaMQEJC+Vn+LdxyFPJPGxmJkSMRJddlZ3x1XUPfybNRKTHQYvvNsnuyvPey/mJKEN95n9p+3U2z5VdbrAxcceGVtIo4KdFX5nZ9vLzXhM5mMtoKTPJ+3mzltSbLr9lsuP06oboRU0+ePOFv8Hi8gwcPzp49+3//+18126SpSJ3ouYtFkBXy8mWcPYsLF/DHH1I3kpU169MnrFgBc3N06qQAKyvQsuXGDx+UPD3x+jXmzVOsLhFMmYKzZ+HjgytXcOIEnCVdnaooFixAcDA2b0Z4ODZtgp0djI3FXJKYODkqCmvXwsoKrVrViJV1D35WyE5mOrcX9Vg12OJcSPyRh6LSFSgCflbIXaM7BM7vbqCl4nL4WTUb7N27N39j/vz5J06caNq06cGDB9euXVttS2nKkH9Am4KQPCtkVZSUWCxdCktLeHrK2TahbN2qDcDTU3zCS8VRnayQikCQFTI4GF27YtEi8ZcUFrZavhzt2+O//KuXKiukguBnhRzcriEA/zl2LdyC3iflmctjhMfX1/fNmzf16tVzdXXt0KGDh+j03zQSUyd67hkZeCRBhhLJs0IKhR/QL99S3m/e4LOwoGEGgwWAIJCVhW9fn7VAQQHevi3b5nKRliZPY1JS8Ez63hs/KySkyVJJENVKrvnpU/lDAPDyJb4IzzhXd6mbWSHltR6gTZs2enp6ANTV1RWxNOQ/S206dxUV/ipEuLkhXVRGSOBbBSVXV4wbB29vXL4stTo2+/WOHYiNxdKlMpkrjJISeHiAn6KRfzt8CIK5bFm2lRW2bUNkpNzUScv163j4EBYWmDEDfn5YsADVXxGsqmoCIDkZq1YhO1u6a8PDsWED7Ozg7o7nz7F5s/hL1NUj//4bb99izRqZzAVKS7FpE/irQZ89w7ZtNZeHWTSRBpHLHi4LTgoWK9m/TUMS1Lijz18n5By49+nhx7Qx1gqcfRVK39YNTgV//V/w14ivWYN2P9JkK7U01ATwPPn5sofLXuq95DClqxtnbGxsbGxsY2Pz+fPn/fv3UxQ1evTowYMHK8b8/yK1OSxjYDDYx0f782f06oWhQ0VJkiT8/DBzJhwcAIDHw5kzcHKSTp2u7pHGjfdv2YLlyxEaKp9h944dMXs21q9H//4wMVkgOF5YGPv4MTs5GcbGiIiQgyLZOH8eo0bh2TPExEBTEwUFqP5vx8jI5dgxdmQkBgwoG/aRnAMH0K0bFi4EgLVr4emJhAQxw+4NG55s2XLLhg1YvRpRUbIMu1tYYPly/P03Bg/GlStYvhxNm0rdiCL4rPv5c/Tna9HXAocHmmhWWcUMgAab9e8km4VnI5z2PlJhMiZ1bTLRzqymzCxj4/A2WUWctf6RPIoy1lX1ndUFQGJ+4tTrUwFAGzlM6aZYP336RJJkfHx8TEyMnp4eRVHdunXjFyP9T3Hp0qVBgwYp4pOlNp17dvbT4GDV5s0xapQYSQYD586V744eLfvwsZmZ8OKrMtO5M169gq8vcnODgbI5oqysR0+fslu2hJRZkOXM6dMAYGuLZcvQogU2bpRDm5mZ9x88UG7dGsOHS31txTK5bdvi/HlJL2zV6rs/AGmxtMSwYTh5EhMm1OYUSFW8y3wn2rkD6N6iXuiqvjVjT1UcGPdbpSNRWeUBTNmqUn7HAQwGo1GjRo0aNeLvzp8/Pz09/WdMUENR1OzZsz08POrXrw+gtLR05cqVc+fOFdxaVURHR0+cODExMVERzr02h2V0dLr06lVQVIR//61FK6rL7dt4+hSTJ0NT01pwUFe3W79+Rfn5OHas9iwDAKSlYcsWDBmCggL5GKOn12PQIE5WFk6ckENrNUNYGC5exNSpuHABCk4fJzW6KrptDYRXu677WOpb6qqUFZbLiMggvkddXV2qHHOxsbH8rGo/HQRBaGho9OrVKzU1tbS01MXFJTw8XGyuXGdnZ3Nz89zcXAVZVZvOPTX1wtCheR4eePmyrI/50/HkCU6dgrs7HB0RF1debiIp6fSwYQUeHggNraGSrULJzYWbG/r1w/jx8PBAWJgUneWqiI8/NmJEsbs7nj3DpUvysFLBvHyJXbuwahUGD8bixdi5U87x8jJjkW4xzmLcob6HDNV+vr4qn/pq9Q/1OzTOYpxauFq90HqZ35Oenq6trS15a02bNlV06krF4eXl5eTk1KNHj1GjRqWlpfn7+6uqqoq+5Pz58xwORxE5+PjU5rAMh5MOQFsbnp74+LEWDZEdAwOsX182alxamiE4zr81HR2sX4+Ymo5ILkdZGVOmoHNnCIyJjq5umyUlaQD09bFhA75+rbaJikdHB+7uZePs7dph9WpoyDlrloy0yGyx3EbiIlMh/+DhNnAKYNQeI72hJn36T5JE4FK8uwQArQZh8E7II97FQs/CwsYiaGlQMVUsKA8tIYmJiQEBAYmJiTwez9jY2NHR0cREzPBUXcbT09Pf3//GjRsvX77UqAN/ZHUizl1LCx0lSBtVMbeUopePS6hLbDJaHR106CAvo4BvhtkDkeZCHlkls9nsMs/OR1tbnsbo6qLSb1mgvWYW90uorlKV+ZYtFWeRwgg9hmuL0doJ9Voi9F8csMMiqavyMvym4GMQOk4CwUTYv8hLxLja+6gEjh075uHh4ejoyK+4EBUVtW3bttWrV0+cOLEWrZIZHo/3xx9/1KtXb8CAAY6Ojnfu3GnYUJ45PmWgTjh3ml+Aiu+VCPuONfn2rQF1tczTPWjpAOfjANBlLv5uhKRXaCjdSD3x6ToGbkHHyQDQyAZ+0xRgqBRs2LAhNDRUX19fcMTT09Pe3v4nde4uLi4ZGRmBgYFqamoA+vbt++jRI0FR5VqhTixiqmvU2fSzUhlWZ++i7nP9+vUlS5bwt6OiolxcKpdiDwgI6NGjh7W1dd++fVNTUyuemjZtWt++fQ0MDLp37963b9937+SRu6YkH9rfxivYWmAwkRMndSO8Uuh/iyStZw5S4lVkioHBYPC+X3HAqyMLEKSHoigbG5uAgAC+Z9+6deuff/7J4UgX+C93ftmee4R9x85AcFMrGa7t8CBMBjd6w0JM2FP1kcqwmuzM1uSLpNZfWgkJCV5eXoGBgerq6j4+Pm5ubkcqxHjytx0dHQ8ePGgsNnWOhDSyxauzsJsPHVMELgMoNO/9o9SyB8uuxVwT7FoctRBsN1nRxMpMHfdn4D7Gthi94vUtaNRyXIq7u7uNjY2Dg4OpqSlBEPHx8YGBgRtqN3ZYVgiCWLx4ccUjM2fOrC1jBNSJnnt8PK5fFy8m8FZi3VZ1fv8lJTh9GlZ3ylQY+4aJXg0rWteXL7h5U2ZbpEOOXi8u7rt/ESZTyOxQTAxu3xaiV2h+Snnx4z1Wpe7qVSR/K0rB4+HsWVSnUpCXl9fJkydTU1MHDBjg5+c3ZcoUdXV1AC4uLsuXL694VlBGSp4MP3pKS3vM+T79/rFYFuP7pbcbWELKReWV5rXUa/l64uvXE19fHn4ZFTIUxGyKCel7cmJ+oSZJBb0/vaU0rsillkNZXVxcQkJC7OzsGAwGRVHW1tbBwcHjxo2rXatqntLSUv7fktypzZ67mloLksTXr1i7FuPHi5cX/LBFj7FW08exWPj0CZs3Y9mdsMxMrFolS5IyNbUWFIXYWLi7Y/Lk6pjzHTXTaeVrqQ+cywkbNQovXsDMrDxjg4ZGK4pCdDQ8PDBN2LBtTY6Ai1BEEFi1Cp6eqF8fW7eiqEi6jMfnzp3j1+YuKCho3LjxwoULBwwYcPXqVS8vrxMnTjjwl0oDDAajWbNmFc9KXoJ1FOsmjr2AtSssh4mWPPjm3wMazNktxlmw1LfF3xzzxfdpVwmSrn3PjFc7onQNNCiGiVq9S+z0iIidp43lEYD81h/PD69uHbv3nb544e8xMDD4SUfYfwpqs+euq9vj8GFdDw+MGoXeQr4yZaSanoXJxIoVIAi4u2PNGvTrhyFDpG7EwKDfgQNa7u6YOBE9elTHnO+oAadZ8f3RYm/H3buxbRsyMm4IDhoaDt67V23dOkyejG7dxDeiOEQ/jYEDMWQIVq/G+vXIy8Py5WAypWh81KhRN2/evHnzpre3NwAWizV69Ojs7Ow2bdqYmJjExZUNeZMkuWLFiopnJVfRjohC7COcn4Q0MYH3lz5f6m/Wf0aXFfbW8/yGXCwoLYhIlTqpxau0Vx5dPFRUdevrm2/tufVt5lvx14gl4xPOTUDso971s9a2TZRDgzTyozade25uyNu3Knp66NdPns1+K0EsSkD0pzOLhcmT8ekTGAxZPDuArKzgly+VjYxgby/eHskR7TQrOrvqvwY4hBpJsO7fh7U1srPLk3ZmZj6JiGCZmsr+0iosRGFh+W5u7ne7VSHDYxw4EBoaiIyEqyuqWfW6qKjo3LlzDRo0ePz4sZOT05EjR/jLbfz9/ePi4iqelaX1dDHOnUtx2UplN8BisBgEo5Aj5JFRFBWdFd3Ht08f3z5TAqdUPNVwbEMuyd3wfENCQQIBQltFmwL1YwvSW/5BsNlUQ64JV2mqTW0Oy2hr2wwdmvf+vdaOHVi4ULqOVVVkZ2P6dNgPC1u4EAcOHEBwSIWTDACPHmH7dqxcWWXisMxMzJ0LVVUMH45PnzB/Pni8spTokqOr29nFJT8kRINfMar660L5iJ1Q7fAgjMPB5MlY9gpt2wJAUBDOnZMiwYNAxRP2hAQlq1mz4OsLI6PyGui6ul3++KP48WP2/v2YPRsEUfYikXwVwuLFSEnB3r1o2BBxcZg/H2Zm2L69KnEGgFu3sH8/Nm2S9C4AzJkDBgPa2nBxgbs7SkuxfTtkTlvi7u6+YMECW1vbESNG3Lp1a8GCBQ4ODioqKmpqakeOHKl0Vro1h+oGMO0sWsTe2N7/k38f0z7t6rdbcn8Jk2DaGtn+KDaz3UxOYqFhbCx/N7GoPM666EuRlpJWEbfI3th+QNMBC+8tFJvNRihHPabqcVMEu+l6Hadr1Ed+KoCHqZrSj1/SKJDadO5JSf/r1euv4cO11q2DtzdcXcXIS9Ib1dGBmRkePABJIiJiDEWVd9HT0tzu38euXejTR1RKSDU1cLnIzISVFQCEhIhJIihwbf3efRXYZ2TkUlREJCaCy5Vzpiq+ul27dlWVSlhZGZ06wcMDK1YgIwOHD2OYmBFdISoi7DuG159GEDh+HFOnIjq6fHD969fDv//u1rs3290d//sfBBNggucg9p9p7VrMno05c7ByZVkus2XLqhT+8mXh3bvYvx8DBqBVK0DiLxItLbx/D2tr/PYbfHwAQFPiwhIODg6CUfVWrVqdrpAc4969ewCcnZ2dK9S12vwteTH/LICAgACxWvx4vUf0tYOVMzTqi5Zc02VNfEH8nNtzKFCaSpp7e+9lMYT8ctsZtBuZodI6P4lXvx2A3TdC8C1Rafbj7IvXL066Mele3L17cfeMNIy8+3qLtfBH+pCP89UaqmnXA1CS9jk1txjzb+P1+S37jwV8UaOde52iNp07j1cAQFUVa9ciPl5uzfK/Ax49AqCrqZlVQZ3ezp3o3RuzZ4u6XEUFa9bAzw9ubqAojB8PScZROzwIQ4U8QSTJu3BBHcDYsfitcio9hcPPqcv3m8OGyVKSsMW1MM90GBnB1RW7dqGg4A3QnX+Ky80HoKGBdevKw1EESPICNjQEv9e/YQMIAkeOQL/qqbjSUv09ezBggPDJWxHwB9aOHoW/P5o2xZQpUFGRrgVFE05ajLBfLF4OAHC4z2EAhdxCNZaaaMlEGHaZfR7A3nmsijXH9Nn614Zd45JcEqQyQ1k2mwFkW7i0GTodQNCWsapFqdBphO6Lrq0OKCWLZW6TRhHUiVBINhvNm8uzQap8OLFiwRolJSW8fAnRawsIApaWsLQERYEg0Lq1LDnECaJsjInBQLNmUl9efVq3LnsIFhbiRIWhoQEzM8TEoLAQLBZUVBr/KKOmJntidA6nzDyKQrFIn0BRTCYTERFipkl+pGVLWFqCyQRJon17WFjIZ9yvdhHr2cXCYrCq49lpfiLqhHOXL3Pn4ssX/P47NDUzeLzyT3E1tRuHD6OwEHPniqnx5ueHU6cwcSLat8eqVZBhjSFJcpydCzQ1cepULaROvH4dhw5h5Eh0745NmxAaKksjkZFwc0P79jh5EpmZ8ozV54+zEwQ2bQJBYO5cJCVVKaynd3f/fmRmYt486fz7ly9YsgRmZpg5E35+ZSMz/wVYFOfvPXv+3rPHtmcvRbT/JvINv/2Sgp81g+N/hF/NuWdmIj4effpg3jx06XJOSSlccEpL67KODvbtA4+HN2+qbCEjAz4+mDwZQ4dizRpYWspScOP589/79Ss6dgyamjXtVjgcHDqEESMwbhwWLoStLby8xF/1I1evwtoaq1aBzUZMzBY5Wvj33yAIHD4Mc3Ps2wcA27ZVKayvH2RggD17UFiIT5+k0LJmDZo1g5cXHBzg6go/P6SkiL9KKGFhYcbGxn379rW2th44cGBxcTGqyEDw4sULruTFYRVAk2YWzYjEGRmbZ2Rsnt8qVfwFUlKirDO69AK/fXsiXMdATktw/5P4+vq2adNGX1/fwcEhXo4D09/41dIP6OnBxwdqVX+86ujg6FFRLejr49Sp8hbWrZMoUE8oDAZOnJD9ctlQVv7O/qVLZTRAjpVmK7FjBwAoKwNAw4Y4c0Z86lkDA6kruhw4UP4QBg5Ez56i/irEMnDgQH5eAVdX14CAADs7u0oZCA4dOhQSEjJp0qTQ0FDFZegWi7nTQjgt5G+PZbGy/pZz+63cvquJLl2GX5oKREdHu7q63rp1q2XLlvPmzZs/f76fn598Vfxqzh2o1m9YaAvVbLD69lRTY80bIBplZVG78kJBD4HJZHK53IsXL1bMQNC5c+eCgoJ79+7VbredpnYhiPIZPooSs4zgyZMnvXv37tSpE4AFCxYMkmEdvDh+QedOQyN3goKCBgwYkJOTY2RkNGTIEHd390oZCAAsW7bs1q1btWpmrVFcXJyamnr48OGKBzU0NEaPHs38BSaypYcgCNH+fdiwYQKHHh4e3lGSihZSQjt3Ghrx9O/fv2Lqx0oZCNzc3DZJtcLql6O4uDgnJ6fSu01DQ2PIkCEKyor1s6Ours5/MqdOnVqzZs0lBcRd0M6dhkZqnJycxo0bN3LkSA0NDX4Ggtq2CACQHYfIC4I9lzblv+7fzViMp3vAHzewGgMtOVdt1dHRYbPZ586dk2+zPy9ih2UAZGZmTp48OTEx8ebNmxayxSyL5Nd07vyl8JXyuU97Eyx5wsIarhgnOaLL7FUSQ7XtlzAFWK08rmoqrU52MzMzs0oZCGRuSo7cP7qkTd6TROgBYIF3aKiWoPjF8GED39w8BsCUSHsZ/qbH3Dph8C8GRVH8YXdJPHtJSUm/fv169ux58eJFyTOJSsWv6dxFIG1C2p+9hFt17Be4v3vtRK0xq5XqGdUssye4/HEn8T2mjh07/ui+K2Ug4HOzxpL3C6OIiwhm61ZzLwBIjnnLuDxA4NznH7jzOS6JyWS82jWosORnLXhU95HErfO5ePGihobG1q1bFWfMrxbnDgl8TfUFagtp+9E1T519dP8RmKBMddVMddXqa34XhEQW55vqqprqqjEIeSSDpKk2oaGh9+/fJ76hiGraP41z37evPG1Afj6+n5b/jup3tCVv4eZNBAeLEoiOxtmz1TSnHAkNk/kJhIcjKEi2SyVSffIkEhLKdw8fRr7iFzk+eYK7d8t3g4IQHl61dB3G76PfvLvzNodsLuTW7NKJb6QVprk/cV94b+GduDu1YsCvxNatW6kKJIlYpS0rtezck0cPjrDvKLa7R5J4+hSzZ4PDQX4+Zs1CSEiVwmLX7MhxmCU+Hps34+FDANDQaC04rqnZBsCnT1i2TJbsBTJQXPzd6vxWQWEUCEh5s9nZOHQI/FmxK1fgpXtX3BXS8fYtFi5ETAw4HCxdilu3wOWCwynLBsH/S+gTcEaSpiRPXp+cjN27ceUKAJw7h0OHkJEhxWO1i5vtAAAgAElEQVQpLS0dO3bswIEDBSWzAeTm5k6YMMHJyemvv/6q6kv869ev4lv/eAubjOGhi4PdRGdXmBA4wfOp55ecL5c+Xup+pnt6cfqPMjyCZUtGZLg3ynBvpOkzqBTlMYjX/uqQs65x5lqT36i3PGEZJcUSmRHZx7fP3bi70dnRC+4uWPlwpQyN0NQkP0fPncHA/v0oKcHMmZg9G8rKZcvWf6S4GOPHI3p+WIcHYc9cvksifKSNrdzLe8bEQFkZO3Zg3Tq0aHFAcLxZs9Xr1+usWAEmU1TiFDmyZg1mzCj7uImKwoQJSHMLlfZme/XCjBk4fRrr1uF/R3Oc8t0luYr/VCV5tps2oUkTLF4MFxfExGDLFpSWYsIE/POPVGYCP4y5i5CMjYWyMv75B56eOH0aLBZiYsrN7hoq5t3r7+9vZWV17dq1uLi49+/f8w+eOXOmbdu2ly9fTk9PD/nW0QgKCnJ1df3zzz9JkkxJSTlxQoIipZdmoCQfFInk17jjWZXU67TXL1JfXBxy0X+o/9OxT/XYemser/lRrP6QDX/VHzvA1GiAqVF/U+N+rPaCU+lc1TtkhztkhyCubZNODuIN+wG3R26W+pY6KjqJBYlKDKWA6ABrH+slD5aIv5Kmlvg5nDsALS1s2YLsbBQUYNeuKpc1stmYMgWnTuH0abx40Z/HE5LOUCySDxyvXAk1NRAEIiLAYpXH8yop6X75wiJJUBTWCPkZyogIw1atQnExZs/Gmzdwc4OlJRxk+Qmjf390746ICHQq8m1Vel92W6tg82YoK4MkwWSCx8O8edDXx7RpChysnzcPenpgMBAeDgYDhobiKwdUJDQ0tEePHgB69OgRFlb29mrUqFFkZGRSUlJCQoLhtwogV69e9fDwUFVVjY+P371799y5c8W3ziko386pMrtIWGqYmpJaE+0m/N0O9Tt8yfnyo5i1eeN6bTXY6sprfl+15vdVb46Vl4VqnPtiJPPBSOaD4awHlixZkuykFqbaG9vH58c7NnX0sPNgEIz6avU/Zn2UoSmamuGnce75+Vi2DNraUFPDggWi0vYOHoypU3Hu3P/ZO++4KI42jv+ucLSjSxMsFHsHMVYskRB7B4kFGxYsCFEUQQEVLNjAXlA0lkSJRrGQYNREja9RSuxYsAHSRKSXK+8fex5HucpRne8ffHZnZ555Zo99dnbK8yAjozWN9lmBumTv8KqpoXdvgfdaFZVyr+QsliEAHg+tW8NMeb6VJCimrY3du1FYiNWr0akTAgMVrCI6GrduoUcP3NSY/Zxlr6AU8axcCQ4HrVqhtBTLl0NXFzt3gk6vxTWUTCYGDxaMefB4cHCQ7spGlOzsbB0dHQBaWlrZ2dlUop2dXWxsrLOzM5PJFE6F+fr6HjhwoH///rm5uS1btqRKSaH9KMEBjYH+HuJy2RrZFpYVvv78mjqNy4hrpSO216LOVB9pOXKk5ciiN0XCxKzCL2NHTFXY/CBdsSoYaRjdTLkJoJthNx2WDp/PF75sCA2TBmHcpT7YHA5mzACDgf37sXs3ioqkBKB49IjarkED5A7QkJsLPz90+EOgksbB2I3ivS+dOIHoaNDpYDBQVFQ+xlpQkEin82k0vHyJ2bPFFlcACfcqOBglJWAwkJKC7Gz4+krxXF+V69exfz+cnbFmDWbNws9a29+q2AIY9J88/hjF4+qKV6+wZQt8fQGAz0dODnJyBFflsu/CzOKGgzZvxsOHAHDpEk6dAo0GBgNMJiIiKsyvSkVXVzc3NxdAXl6erq4ulbh+/fqNGzf+/fffQ4YMOX78OJVoYmISGBg4ZsyY8PDwsWPHurq6Tp8+PSkpSZL0CQcx6Qj6LsGSWBiLDQrTxbCLjVGPyedGLz7YacSRzrlF2Wv7rZWjDcCE00W87zdhgCe8nkFNV66yFMH9g59mPQSn9MyNVUv/dB9hOYJOq5H1+Oeff6gDLpe7b98+d3f3kydP1kQgoRL1bNxNfrkoyyPNZILFQkkJ8vORl4eyMqiri828cSPu3UNAANq2vaNAA9XU8O4dFixAhz9i1fbH+vpKcv5Op4NOh4UFjh1DTk75EoKysk8BATk2NuDxoHQXgT3+jv17wvRKic+eITERfD78/VFcjDlz8OGD3FVraWH2bDg7A8CoUVi4EM0CDyixT62tDR4Pb99i8WLQ6WAyoaWFRYvwpUOMHn/HXh01WUZpUkf5AwLw8KGgz06jISICzZpBRQU0moRClenVqxcV9vqff/6xs7OjEsvKyrhcLgAej1dWViaaPzo62sHB4dq1a66urr6+vmfPnq0qswKdxuO7ddCT0guOeJ6wKzPHlKk5pYh3683bZp/FuvP9VPJp1c1Vq26u0ulX4dOBb+eGbwOgoS9FHzF0zHz999v3anx+Pp0+NTe/eWLMk49PFBNF8e2331IHHh4ex44ds7S03Ldvn7+/f01kEkRpNJuYjh3D4sVYuBBcLlq0EOsBvLgYDx7A3x9du+L27YT0dLlnM1ksHDiABQswZw6Ki9GlC/z8xGZ++xbt22P9egB4/ToQGE2lq6jobtumk5sLY2NJ7yEl8ssvsLFBcTECAwUTEi4u8o0/AJVDyw4dqjT1KHbuxI4d2L4dDAZUVbF7N9hsLF2K8+cxc6aS6/L2xsaNCAgAkwk6HQcPgs3Gzp1YuhSyLGMRMmbMmLlz506ePNnS0rJ9+/b//vvvwYMH16xZM2PGjLCwMB0dnZ9++kmYmcvlRkdH79ixIzs7m1pIs0YpUy6v/0LOO7sfX9ixmwHALjtcWY4Zl6pmHNJqyIOsB48+PgKgaqrUuIJ/+LEth9iZt0jKSbqlVdw5/QWbbvxdq+9qLjgyMvLRo0fNmjWbM2dOjx49AhUeUiRUpNEYdyYTK1fC0xM0muCjvlrU1FDzbzs1NXh6wt8fTCaWS1wOsHJl9emZmZeNjEZraGDPHrktrGJQPZ78fMyYgaIiBAcrGGCvtlm0CHfvorgY8+aBGuTYtau26lq2DFOmCAb39fUBgMmUuzoVFZUjR8pjSffq1atXr14A/vzzz6qZGQzGjh07AOjr60dERCiueiVSH4ClAcqyAzDpgtSEajMOaTFkSAtBACbmRCaU6GWg6CNaOO8Y+OU/PlAfw1fCckDNBXfu3FlfXx+ApqamiopKzQUSKBrEmLsspKTA2xsWFjA0rPAhXxs8e4a1a9G5MzQ1sWCBIsEuDA2H9+hRwuNh8WK5g38qTH4+3N2ho4MOHbB6tXxxi+oGDgcLF4JGQ+/eCA1VMP6f7HW5u0NFBTY22LoVDx7UYl21TlsHlBTg1XUAKC3Eq2sw7VrXOuhZ4sEZwX/zvYMAHy2/qYk8MzMzMzOzXr16vXr1as+ePXw+39nZeeTIkcrRltBYeu48Hry8YGaGkBDweFi4EEuXQpZlxAqQkwM/P3TrhtWrUViI+fPh5YV9++QT8uSJ5/nzd2k01UWLsGKFgoHu5GXJEqioYO9esFjw8YGPD06cqK1QGIrh5YWCAuzZA11dbN6MDRuwZw+MleygUICHB4qKsGcPtLWxYQMCA3HgAAwMpBdsiBi2R5dJOD4O6voo+QxVHYzZU9c6OP2E3XYIMgFLA8U5GLAMzBr9b718+ZLH4yUnJ79+/VpfX5/P5/fv31+m9aME2Wgcxp1Oxw8/YNQowQTm7t013SUvATYbM2eCcqOvoYF9+wQbUOWitDQNgIEBdu2quz6jkxOGDBFY8w0bcP688udya8jo0ejVC9raAODtjcuXoVdrgdrGjUPv3mCzAcDHB5cvQ0tLWpl6ophTrMZUk5JpwkF8Mx+JUTBog+5TarEicei2wIp3uB+Owo/o4gTDtgrKEYFOp7ds2bJly5bUqYeHR1ZWlnEtve2/Pur56U9zHpkGQIZlcGPGlB8zmai9rzcmE6IRrzQ0pO8Gojbg/NGhZdVLBgYYPFiZ6klw+fv99xVOhXdMdH9Q/Xq4rDRDO3x4hVNKz6FAeNc+4iTI3hbJdTUQLiZd9Lvlx+VzTTRNLo2/xKJL7Aub28Jcwa1ehiMNbY7b8MDrYtjl5HBFZ6WYLPReoGBZGXjz5o21tbXsjhUJkmk0Y+4NlgbuB7GBqyekseipXDb+u5HL5wJIK0jbHru99ipid2HzwAPwMPPh5deXa6+immBpaZlfB57kvhoa2Hc7QSJfpwUUR2N3tQ+glFu+zSy3NFdCzmIOL/xmUlpO8ZgeZj1bKziYxeepcQusT/3zuYtuYQs9ZcZNz87OTkpK6llxLa2mpmZUVJQ2NQxXHampqVFRUampqVwu18zMbNSoUebm5krU6iunkRl3yrop9khTkZgULt4Q6PF3rLz2XYEiClOT0EiKNU3eWkShqpMlWEftMbHtxJ+e/ARAhaHi3s1dXLYPOcWDt94A+FpqKsf/fTu5Z4sNE+RbLVOaUareyqrw/WyGyueH2fr2m69vmdR9go3SPGMMGjTI0tJy0aJFooksFktL/ERHREREYGDgqFGjWrRoASAxMXHr1q2rV692dXVVllZfOfVv3GV/RIUPfw27bMrt8VGi4u1tv3v6rgG+NOpswL2GoZHwxb5fHTUZb6vxiiXMo7B8URrIN5C3nfdIy5EPsh6MtBjJZrHFZVv8c5yxltpf3oMA/PEkbe6x2BXD2utqyLFYJSU8Rcd8dw+L0tMzZzPpzJW/Plzz2yMlGnd9fX11dfWh8mx7CwoKun//voHIAqZ169bZ29sT464s6t/9gIw5G8jTKI66+Rpo4Deh5tR2NJIGSEeDjpPbTZZg2QG8+VjwbUcj6vi7jiYqDNqtFx/lraioRMXfcSiTzgQwb5BFQal4rxp1Ap1Op1w4CKl0Sqgh9d9zl5G6HF5osJCb8HVipKUa+0awbe95eh6Hy+/RUgaXkxVRYzKiH6V3M9cDcOlBmiqTIbVIrRIQENCrVy9HR8cWLVrQaLTk5OQrV64EBQXVr1ZNiUZj3JVIU+r3NRxEXzwN/w43rtfkhvFdxu2+M2DzdVMdtbi3n3q21jOTfzp04RCLLX+8+Dsxi0bjP/mQt2CQVW2oKjsuLi5Dhw69fPlySkoKj8ezs7MLCAggi9yVSIMw7tu24cUL7N0rJVsNTcbBzt/s2bPn7Vu4uODHHys7yaolNm3Cu3di40YpAHUTQkND8fhxpUtJSfDxga8vunatnL82WL8eGRkIC6uLul6+hK8v1q5Fu3ZKk0lpq6Gh8V5pIuWjFMyX6QXWxppSc3Yz14vxst9w5Wl2Qdmy79vNt1fELs+3t+pgqnvoZhKPj73TbBw7miggpFpepheUQpHvAENDQ2qEPTMz09DQUFn6ECjq07hbWvokJbFOn8atW/DxqfXqcnJmvn+P5cvRsmWtW3Zr6zVv3jAPHcK9e6gDJ6ZZWdPfvsXKlWjVqoJlrw3atw96945+4QISEhQPCSI7aWk/vHwJHx+0b69My94QOMPtdWb7DVMdtZsrBjOluZezMmQfmm5XwxqHtDca0t6ohkJE4fB49ptupH4uAnq0Q4r0AmIYPXr0nTt3lKgYAfVr3Gk0ja1bDfh8rFoFu5r+30qnuNhm6VJYWGDLllqvS0VFOzhYF0BAQK1bWwCFhd09PWFlVRdObFRU9NesYdPpCAxEp061Xl1eXtcVK9CxI9aJjTDauPnwufjQrdeKdcbrnWN33qZ+puI90Z7TlBdyjKAM6nO1DJ9fBIBOh4Yyt1NIqI7P59dRXRxOEZ8PGg115cGUB0BT+ve9MmriFVL7w+vGTz2NxufxBC5imipcbmPdcF/KVY7L0zlyhbUlyEb99txVhw2LffHCes0a7alTX7Rsmadc+e8qBmWg0R7NmKF29Gg7T8/8qVOfK7cuAByRiE0MhsqYMXEJCW39/DSnTn3esqWSN1UnJ1cIpkyjPZk+nXXsWDsvr7wpU5Qfs1h0jRqNxpg06b///c/K21tz5sxnJibyO0SWSEpKha97BuOJs7PqyZNtfHw+T5z4Srl1AeBV9MgcHx/PqjVHmqmpqVX9lWuz6Dbsz8LQ20qkkpOWuLg4urJjC3RTh44q/XMJD4AFX+7AOEJmKzcWJQFA/Rp3Xd0LGzeGATAymh8cnJWdHan0KhYsEPg5srKy2rNngqcnNDS6ZmSMunx5D4fzSbl1tWrVShgTmc2OXLduBwAjI/f16z/k5JxTbl00Gk3oHNXa2vrQoXEJCVBX75GRMfzSpd0cTo7k4vLSpk0b4VZDdfUTq1dvA2BsvMjf/92nTxeUWxeNRvPy8qKOra2tjx0bGxcHTc2eGRnfRUaG8XhKfk127NhRU1OTqrdnz55Tp05VrnxRaDSat7c3dWxtbc3YGshj6xekv5p6olZc/vfo0UNNTQ0Ak8m0sbGZPFnW+IXyQjNuwyzMmbpkbi3JJygGjfhgIxAIhKYH8QpJIBAITZD6HJZ58eJFbq4kT3g1p2XLltT62fz8/MTExFqtS0VFpeuXlTHPnz/Py1PyFEIlWrVq1axZMwB5eXnPnyt/CkEUFovVpUsX6jgxMbG2/bK2bt2acjmSm5v74oXypxBEUVVV7dy5M3X87NmzgoKCWq3OwsKCihf6+fPnl7UcCFFdXb1jx47U8dOnTwsVCBcpD1ZWVrpUVFxCw6A+h2UMDAzMzc2VHRKXZW5+m0bjvn/f+/NnbXv7/uHhawGEhoZu3RphZMTQ0/NVU+uTmenK4YjzzsE0MTnJ4aRlZS2h03VNTCJKSh58/Fh9DHtNzVG6ukuysnxLSv59/jz72bNbzZs3B2BtPZnNfqarO1JPbz2X+zE1VVq8DznJyMgYMWLE3r17AYSEhGzZsqVjx+VaWrOysn4sLX3YvPnvdLp2WtpkHi/TyOgoh/M+K8tL3io0Ncfr6i7IzPQuLY1//vxjUtI96l2ipqbWoUMHBkPxzesGBuvV1b8vKvrfx4+LTEwOq6h0zc+P/PRpI3U1PT19/PjxoaGhAIKCgg4cOGtoSDMwWKeq2jUtbYrsY+76+qtVVe0yM2eqqHQyMNjE4+Wkpo5hs0fo6LhTjaKyxcfHf/z4UVdXl8/nU6/nqrOOuro/qqsPyciYy+WmGBisV1XtnJY2lcfLZ7PH6er6FBffyMry1tZepKPjmpt76vPnbeJUSktLmzx58pYtWwAEBATs37/fzKwWlw/GxcXl5+draGiUlZWpqal1796dRqPVUGaXGSilcygxPBq0CzTvnyoBkJqaOmPGjODg4JqrTVAW9dlz53K50dHRpqamyhV75QoOHGC2anWfx0N+vmAmk8Ph2NndsbNTu3cPP/6Ivn1/lyDh3Tv8+KNlly7309Kgqoo9e8xZLLGBfLZvx61bewYNQlTUI+GCmU6djrJYLC6XxucjMtKAxVJyKOjQ0NDHX3aocjgcFxeXHTuWBQUhLu7I4MH4808wGOjZ89fCQnA42LPHgs1WRIENG3D//sEhQ3DuXJywaVwu96+//pLgpFsWXF1Bo/Vu1ux+YSF0dHDu3ERgInUpJCTk7RevkBwOp2fPO3Z2rH//hY8P7OxuyF4Fh4PFi6Gl9XubNnjwAEym4YwZ/1y7hrFjMX36QWE2DQ0Nai0Qn8/ncrn//PMPNQkpChXCV1PzfLduuH8fK1eWa+LvjwcPhvTufT8lBc2a4dy5H4AfxKkUHBycmZlJHXO53FmzZtWqKxUmk0k1jcfjGZpoH/hpO50GAF3a9GUqGoBxxMEujlqOSyZvAeCxa1C+Wv79+/cBBAQEFBUVKU11gjJoEO4HlMuwYcjJQfu9tgBCLQcC46h0v8x+uIxOy2P79pUioWVLrF2L4nm2ADpdjZW8NM7TE4PO2eIM+gOA4F3y6dMdA4NBAH75RfkhquPtbasNs+fri3h7W5xGP0D/p9jsabYArC7GKrxI3McH8fa2+AV9AeCSZJUgj/uBo0cxcSIKC6GigogIyXm5d+9iwYLybW7CuiS7smEysXMnpk7FgwdYsQKXL+PPP2Fri+nTK8iRxZ87nY5t2zB9Ov79FwsWgPmjbfyXSgMDMX8+UlKgqgr3RNt4e7H61C+jl7edcW8hdfz9tZYhCyX9moSmQROcUE1LE1h2ACUllQ25eYjtmzdSJOTmCiw7gMdDpbiXqtb/lJ5eHxoNNFq5KVEWEtxdiV6iLDuAVyNteYoutJPRtZaon30ZJa9cCS4XNBrKyrCm+hEvAXy+qqEhwsPx4YPYusTVu2kTysqgr4/t2/HoEaysEBeH69flU5UiLAxFRTA0xG+7EotoOkIJp04hPR0sFlakStenHjno+W/C1ISHrg9t81kcfkl9q0OoC5qacS8txQen8keLRntdNc+n6bbp6ZIkvBpZ4eGU4EHlgphF3ikpP+3alTVoEEpK8IPYz3S5kWA1Tp2qnJJPb0YdrFihSF2RCu06kMWu+fsjMRH6+jh7Fmw2Hj7Epk1iM5uaHtq3D8bGWLoUOfIs31+/HvHxCA6GiwtKS8FgYO1aODhg507cvSuHHADbt+PmTaxejfnPepqWPT6uvbsU6gDi7W1Pn4aREX75RT6BjRn+tdzfnfZ1ddrX9ZlaJlDTQXxC7dHUjHt+PoKNyz+KWazKrhMpSsT3XUpLcem7Cp/VOuJdZ4uLLvD0qQeLhSVLMGgQFB3erAa5vvc5NFXqoC7d7cmiYVERTEwQHg4AP/0EAwNIWFikqfmSTseOHbC1hVyDutraWL8e7dqBy4WLC2xsUFqKBQswYQKKi+WQA0BNDf7+6N4dNn/fH1EQ3K30IpeuAiBhZqy1Nfbvl09ao2aYzsiOXGtrvpU138q2rO34LkvqWyOCWJramLu+Ps6cATX0KQ7JBojNhp8f4v8oT1m6VGzmceOAcZI8g3t4SNJEibi4AC4VNNHlCvbxf9kUKR8TJwITa8Xp+ebNFU4PHZJehE4XtCKtuqvV/qBLvpgdx4orlaZMAQDI48/9yzZnAKCB36voZ+p45swKOjRkd/azA/vOOGALIFWtTL9I8e72IqeNylOKULs0NeNOQT1de/fuFf0Cp/y5yyVBrsyGhoZ18ExL8OeOWjArlEAdHR0JewTq0pYpPfitvP7cJSjQAG26kNQX+d0NLQG0KMXwvm71rQ6hLmiaxp1AIIhy5fiDqIi4muxOIDQ6mtqYO4FAIBCgsHHncDgHDhzw8fERjZ+yatUqJWlFIBAIhBqhoHF3d3c/ceKEnp7enDlzLnxZD7hXahRUAoFAINQJCo65R0VFPXv2TEdHZ+rUqQMGDOjTp4/k+LaZmZn//fdfpcSysjLFaicQCASCZBQ07tra2pTbiubNm69atcrd3f3MmTMS8l+7di2kSnzPwsLC1NRUpfuWIRAIBIKCxt3d3b13795ubm7Lly+fPXt2TEzMiBEjisVvDnF2dnZ2dq6USKfTyfQ9gUAg1AYKGncPD49evXp9+CCImnjy5MnIyEhLS0vlKUYgEAgExVF8nXufPn2Ex3Q63cnJycnJSRkqEQgEAqGmkHXuBELD4vfff1++fDl1nJiY6OLiInrVzc3NwcHB0NBwwIABDg4OT58+rQ8dCY0AskOVQGhMHDx4EMCoUaP27dtXq4GcCI0d0nMnEBo6ISEhP/30U0ZGxrBhw3gKu+cnfGWQnjuB0OA4ffp0QkICgIKCglatWnl6eg4bNuzSpUshISFVQ7wSCNVC/lEIhAaHk5NTTExMTEzMkSNHADCZTGdn55ycnM6dO9e3aoRGAzHuBEJDp6io6PTp0yYmJrdv365vXQiNBjIsQyA0dAICApYuXfrNN99MmDDh6tWrTCUG9yI0Xch/CYHQsHB0dHT8Ej6qXbt2p0TC4964cYM6iIqKqnvFCI0LxYdlUlNT9+/f7+/v7+fnt3fv3uTkZCWqVRUvr/Lj/PwKp/Jy/Tpyc8Ve5fFw+XL5aWEhrl4VmzkhAUlJkupKSMDatfKrqBC//47S0vLTS5dw+TKEayt4PFy8KEVCUhIePCg/ffoUiRIiMMmPnx9ei0Qs9/ZGdrasZa9eRWGhHHUJ8ycm4ulTREcLbs6DB1J+MlGEmS9dAoC7d5GSAg4H0dHSy168KN/Nb/gUFuZv/mn+mgPOdxJkaD+hvlHQuEdERPTr1+/x48dsNltHRycxMXHQoEFHjx5VrnJCSkvx+jXGjweA/HxMn17BRsgIl8sGcOgQdu7EF78J1ZCbi/BwrFsHAIWFcHeHBJdof/0Fb2+BBWSxjITpBgb2AO7fR2AgEhLkVlUxfvkF7u4CE+briyNHcPw4Fi8GjwceD56eOH5cioT//kNAAG7eBID79+HrKxqmUAk8fgwvLzx/DgAuLnjxotpYgRWgfrWdO7F3L7Ky5Kjr3DnMm4f8fNy9i1WrcPAg8vJw8yYCAlDFP6lYbtyAtzeePsWxY5g7Fxs34tkzLFqEEyeklz1xAl5egpu/ZAlOnpRD+VriwvXwJbsGLdk18HTMbnnLPkj8Z/KJ3jdKbj3jP10Wv2zNgcquoggNDQWHZYKCgu7fv29gYCBMWbdunb29vaurq5IUqwCLBXd3NFtnS0W+5hvE+vrKLWT+0z/j7W1tAcuA2HbtxGbT1UVQEIrm2sbHAACvdez27WIze3ggLw+FbrbxwEUrNWG6jc3ZRYvUSkpAo+Hnn+VWVQJUFGZ74HH7yvGdw8Lg7o7HQ20BTAS0Dsfq6eHdONv/BgHADMDolJQgn+PG4dMnsH1t4wEG0Hd07PTpcusG8dFEf/oJ06djxQqoqqKkBP36YcAAKTLfvPHesgV37mDZMrRsWaEWIdVWt307FizA/Plo2xY0Gvh8XLyI8+fh6Ihx48rl3O7ZQUJDlvwdm5uL1athb4/r16Gnh8hI5OZi1y6xRYSE/Rq7ZAmWLAGdjsxMhIUhPFxKY2uVLccXXOD905auSuPTQpP3Pg+/6zf7mOzFd8V46tNUD827y2QyQ44vuMC/WViYr6HBrj2FCTVEwZ47nU6nXGnnUJ8AACAASURBVP4KqXRaid27d9OqwOfzS0XHESTi4FB+vOajbc+e8iv9Bb0AKWHv27cvP/Z8Y6uhISnziD+qkfbxY0JJCQ3Azz+DxVJAR0Vgs+H5plwZa2uIvHwBQJb9jD0iyiV8e0HKjRJF1LpVtXRCDY8dA42GkhJ06YJly2QRTLt9G/PmgXJlVK3kahNZLOzdi7IyxMdj2TJ07IjffkOPHpg3T5KGVRvi5wczM1y/Dltb5OQgIwO7dkFfX7oChobYsQMfPuD9e+zYAWNjWRoLALGxsWZmZg4ODnZ2dsOHD6ecrUZFRQ0cONDOzs7BwSEjI4PKmZCQwOFwZBT7v5I79iXWR9xjDy+8P6Ss411enKwKAQA+qRS1ZrWj5nKXT93LBC7erq0vdYJSUNC4BwQE9OrVa968eevXrw8KClqwYEH37t2XiX9YFy5cyK8CjUZjyWz5JDyNSqfmdenr96AOZs2qsTYiyKVYvL1tpc2MDWFvo5sb+HzQaHj4UPqYDAAeT0VXFxER+PhR7rq2bQOHAy0thIXhyROYmSE+Xu6BpuhovH8PExPExUFFBQwGgoNlKhhvbxscDCYTqqoICpLv5g8fPjwmJubevXvNmzePiopKSUkJCQm5fPnyvXv3ZsyY4evry+Px7t696+LiUlJSIqPMTCa/f8cJ1PGIPnM/yPnRrslRySoWzKv9effXPBr6dflePhGEukVB4+7i4nLv3r2+ffvS6XQ+n29nZ3f37t0pU6YoVzlR1jWr8OlNjb8rjARLweEg1LJCXRs2iM0sbmItM/Pc7t1ZdnYoKIBcIxuSETfcQbFmTYXT3W1jK007L1kiRX7V6YF//pFVN1lwcUFxMQYNwqFDoNHg54e0NClFmjc/Fh4OHR0sXixpGrwqW7fi3j34+2POHJSUgMnEtm0YMACbNskxC/Jepdv+/aAiEdBo4HLh4YH37+HtLb3s4W6x6enYtQvbtyMzEz/+KIfyQhgMBofDOXfu3KxZszQ1NQG4uLisXLmyoKDgxo0bsnfbAZiU0a8/FMwV/HYrzLyMJpcmA1tMTNDMnrPLbtFO+80P/e3ytc1MrOSSQKhjFF8tY2ho6OrqumrVKj8/v1mzZhnL/tkpP6WloNFACxOYtjSf2Jrswb7oEPvpk9irhYUVhi/U9kuyp9nZeONZTYb//pvDYmHVKvTqBXkewBrBZELrsEAZq4uxRkbQ0oLJL4IU819jdXSkSMjKwr2p5c15OCc2M1PW2kVfPOJeQnw+hgyBhwf09XHoEBgMpKRIEaup+YROx+7daNcOeXnlkqVWx+XC3x9du+LTJ4wejbZtkZ8PT098/z2ysiS9JkUv5c8+PH06Jk2Cnh4OHsSAAaDTsWUL1NXFFhGirY2dO2FoCFNT7NgBtjyj09HR0cOGDevbt+/Hjx/HjBnz7t27Fi1aUJfodLqVlZWWltaKFStat24tu8xBesPuqif/sLfblL3db6km2WsMkkMhYOZon+WtPVWgUkIr7sPvunexUl/7hFqgcaxzZ7Hw668AgC9P0bBhcgs52PmbPXv2AOghMZu2NoKCAJQ/rh2qmXIT8MMPAIBxsQAMDQ2rPuI+PnLrKRnKjoSGhlYd1BD03L/cIuHogemXlKAgKcKHDgUAzP1iQBXSTQKic8v6+oiMlFUynQ5//8q1SK5O2LkeM6ZC+ty5FeRoaGi8r1K2vIovKdTN9PAQnAYGii1SniJybGqKdetkHc8B8P3331PeHynMzc3fvxeoyePxfH19N0j4nBTDggnBNk+GnLsZCvDndV1g33O0vBLGDJk9ZshseUsR6ovGYdwJhK+Z0aNHT5kyZeLEiWw2+/z580JDLy99uzj27eKoXN0IDRZi3AmEhk7r1q2XLl3q6OioqqqqoaEh2qknEMRBjDuB0LCwtbWtar4nTZo0adKkSokxMTF1pRSh8UG8QhIIBEIThBh3AoFAaIIQ404gNBR++eWXrl27Upu909PTx1F+EoDvvvtu6tSpEgq+e/euLvQjNCqIcScQGhD5+fn79u0TTcnOzi4oKIiPjxf11REdHT1nzpxFixbxeLz09PRjx+TwEkP4SiDGnUBoQMyfP//YsWNZIg4wf/vtt1GjRvXr1+/atWvCxEuXLgUGBqqrqycnJ4eFhS1evLg+lCU0aIhxJxAaEKqqqmvWrFm9erUwJTIycty4cSNHjvxVsJEPAHx9fQ8cONC/f//c3NyWLVvqSN18TPj6IMadQGhYjBgxIjk5OS4uDkBOTs5ff/3l5+e3f//+8+fPC32vmpiYBAYGjhkzJjw8fOzYsa6urtOnT0+SPQoJ4Sugjta5nzp1auvWrZUS5XL5SyB8PWzdunXSpEmWlpYXLlzw8vJat24dACcnp1u3bg0cOFCYLTo62sHB4dq1a66urmZmZmfPnpXgmZXwtVFHxt3BwcHQ0LBS4nfffSe7y18C4euhbdu2jo6OL168iIyMXL9+PZU4ceLEX3/9VWjcuVxudHT0jh07srOzvby8+Hz+mkp+QQlfN3Vk3Js1azZU4JWKQCBUj7Nzeey6zZs3V7rq5OTk5OQkPGUwGDt27ACgr68fERFRJwoSGhNkzJ1AIBCaIMS4EwgEQhOEGHcCgUBoghDjTiAQCE0QYtwJBAKhCUKMO4FAIDRBiHEnEAiEJggx7gTCV0FuYU5K2qv61oJQdyhnE9OsWbMOHz6sQEH+ktnxAKRFslcKbo/uxtvbylgXlZNCcn5hzj86tKyZgjJBVWcPPG5frqFr3E0JTZO9LeIK3uhmrZi2ckFVNxQI79pHqkqiKPDPI5Rzu2cHqRVR8hW+jcKyw4BjtvbyqqoUXH37fB85sJBO+yZf7dDCe/WiA6GOUcS483i8H3/8UTTl7NmzlF+67du3K0ev2iTe3lZGe93oqNo0hdtSxzehJtVJ/UFrSA3lN4R/J1YzbiGdBuAuu3jXae9FTpW3vxKaHooMy9DpdA0NjSNHjhgYGLRv3759+/YsFos6ULp+BFEagpkgNHaKSvPqWwVCXaDgmHtQUNCFCxcuXrzYsmXLefPm6ejozJs3b968eQrrUSWwey2yrVVsXJzYq0VFONW7QjetijvLci5ckFLX/PkQcQdSU6T2H7e0iH34sPw0IwORAyoUOXBApooeP0b0MCl1ublh8mSZpMmC5Ka9fYspU5CYKEfZ0FDcvg0A165hxw6sWIH8fHC5CAvDnTtSlNm0SQ7dYmJw6BD4fADgcrF9O1avxj//CK5mZuLnPrU+5CgVfj6DOuhcRF84PkS5wj9kZ/CVK5GgDBQfc7e3t//999/d3d0vXrxYUlIiOfPt27ejoqIqJfbpEw34HOgUm5aGsSMVVkRWQsxDlyd7bDaLNdBB9+5is6mro39/7PkUu24dUlKwYwdWfi8286BBWHMttls3dD9i+0Nmj9+/pPfseTEujnXuHNLTMX68MltBGZrQ0FA8fixM3N56t+ebhRtNY81N0KVLeWYjI3TsiPDPsbMf2H5cE3viBALFt0WUDh3wxx+IHBA78abtI7fY0NC9F79c6tv3zwcPmMePIytLya9kqmkhISF4+1aYmJEx4f17eHujZUu0awdUGXQSZ3lHjUJgILhcWFtj3z60aAF1dYSG4uNH9OgBtS/D6P3uP31f3up1GRm0kydx7x6G7Yrt2rWCfHEV9euHmBjs3o3587FlC4qLMXUqgoPB4aBDB6xejW+/RY9NsQCCg4ORmVmzm6Qgh1bfufhXxIesNzOm+DKZSnMXyOXyBm7clJzXlc7o8o3GLWWJJSiFGv3MOjo6J06cOH78uNT4vJqamnp6epUS1dVN1mrFIg1jx8LVtSaKyERRUZ8go1gTA4SFgS7xi2X0aABYsQIcDlatQqdOYnNqa2PtWqxejTvtY9lFO4TpLJbp3r3aAMaPx7RpSmqAePLze61rFmthXs1HxpQpALCzMJZ3HGvXoqVsk750Ojw8EBqKPe1iWf/Du3ehgCBYs6qq2bZtGnw+Jk3CDz8osRHVk5vba+lSWFoipLrupoQ+taUl/P3h7w8GA2PH4r//sHAhDAywejXU1ESKa2gIi2hqWnt6qgLw90fXrlLkC9HQQEAA/P3h7o7mzbFqFVis8qpHjKjTr1IJfN9vKoPBUK7M7b9FJOd1BcDjqt3n9FCucEINUcI73NHRUXJodgDdu3fvXqW3fPnyderAwqLmWkiHRuNxuQxDQymWncLMDMXFUFeHgYGUnGpq0NJCZiY4nM/CxLIyQQxMKyvFFZYHHkA3Man+mrExioqgrQ0tLTkk0ukwNERhIfT1weHkCtNLSz/y+Vaow6bx+QxjY0VKammBxUJBAczMkJyM9+/Rvj1UVcXmLynJ4PGgooIqoQekoKoKXV2kpkJfHyoqgqpVVZGfD8U0bywUlhYLj/l8lXrUhFAVJRj30aNH35E6ilkdKirNvvkm9cEDk+3b6RkZGTY2+TVXRhTRKMMA6PSk2bO1Dx409fEpdHNLk1Dw6VONkyeN5sxJS05W9fHRcXf/YGBQVm3OsjLa4cMmDAZ/2bIsV9ciYTqTqde//4f7941DQujTp6d361aglBYJ+fjxo+gpg/F61iz2oUOmAQH506dniF66e1fryhX9xYs/xMezV67UXLAgVVubK0sVV67oP3ig6eWVGhXVrHXr5cJ0JlPL3j7tzh3jjRtpM2akd+mi5KZlZ2eLnjKZr2fMYIeHmwQG5k+bliGuVFU+fWLu2WP6zTf57dsX7tzZXF+f4+39ISLCeMOGUmfnTBpNkI3PLx8uZjI1Z816d+WKiYeHyrJlyc2aVf+jV4LHox09alRaSvf2zjh82GTjxlIHh09795p+801+hw6F+/ebZGR8pP63P336VFHDT3UZGC8pKUnpPfeJ3QdHJv6ZW2wBoJNqHOCiXPmEmkAT/edWjD59+ihm3O3t7VNSUgBYW5/ncFLevHGvoSZVmTFjBhVr+MyZMytXrgTAZn+jr++UmrqBw8mqtgiNxtDVHVdc/KSo6AkAbe0hfD4nL+/vajOrqbVTV++Sk/Mbn89RUVH53//+p6urC6Bv377p6ekA2rSJKil58+6d8oPTz507d8WKFQBOnjxJtVFTs6+BwYTU1PUcjsCI0Olqenpj8/PvlpS8BqCrO6KsLKOgQPoyZybTQFvbIS/vz7KyTICho9P9778Ps9lsAHZ2dtnZ2QCzXbvfSkpevHnjqfSmLVy40MvLC8DRo0fXrl0LQEtroK7uqA8f1op+Q0iGze5Hp6vn5l5VVW2tqzuaw8n6+PEXBkNDR2dEfv7N0tIUKpuqqmpsbKy6ujqfz7exscnNzQXozZuvKSl5+vHjL7JUpKpqqalpl5NznscrZjC0dXSG83iFPF5hbu5VAGpq7TQ0umZnnwW4ADw8PJYsWQIgPDw8ODhY/nsjB+rq6nFxcSwWi8vl9ujRo6BAya9hCjqT3tymXdHHnJnjpixYsKA2qiAohhKMe3h4+OzZs5WiDYFAIBCUghKMO4FAIBAaGnUUQ7VaXr9+XWmAVem0bdtWS0sLQHFx8WORtYO1gZaWVtu2banjpKSkSgOsyoVGo7Vp04ZqWlFR0ZMnT2qvLgDa2tpt2rShjl+9epWTk1N7ddFotLZt21JDQAUFBc+ePau9ugDo6OhYWwucK7x48SI3V9ZhHwWg0Wjt2rXT1NQEkJ+fnyhu3b6S0NXVtfoy6/38+fO8vFrcu0Sn09u1a6chsvSIUO/UZ8/dwmIgn/9WU7ODtfX5oqInr15NUK783NzcMWPGHDp0CEBYWFhgYKiuLkxNV2lpDUpKchYOTFeCRqObmHiXlaVkZf1Eo7FMTX0KCx/k5JyrNrO6emdDwzlpaSGlpSkpKR9fv35qamoKwNy8L5OZqqnZrU2byIKCB0lJytvIBAD4/Pmzk5PTnj17AGzZsmXz5gNaWlxT09Xa2v1fvXLmcATGl05XNTX1LSi4n5NzgU5nN2/um5v7JzUWLBkGQ695c99Pn37Nz7+jomJaVGQVF7fNwMAAgLGxnYZGFpvd09r6ZH5+bFLSFOU2LScnZ9q0aVTo5+Dg4NDQo2w2x9x8rYaG3cuXk3g8WWfddXVHa2rafviwQUWlecuW24qLXyYnr1BTa29oODctbbNwzP3NmzfZ2dk6Ojp8Pl9bu4WhIUtVtbWFxZFPn85kZOyVpSJVVWsTkyVpaTtKSpI0NLo2azaroCBOTc3qw4cNPF6xvv5kNTXrDx828PncnJycWbNmhYSEAAgMDNy377KGRla7dn+oqJg/e2YvbhJIYd68eZOXl6ehoVFWVqaurt6qVSvlyhfl06dPCxYsCAoKqr0qCPJSnz33Dh1OGhmZ5OYyaDScPdudzVayy7q9e/fevXuXOi4rKxs48OGQIRrXrmHRIgwZcl9CwcxMrF6NIUMCXr4EhwMfH6iobBGX+bffcPnyKFdXeHruKSsTrK/o1i2yeXPjrCwGk4krV2yZTCU3LTQ0VPghUlZWNmDAfwMHqt+4gcWLMXhwhaXZb94gIGCKi8v2a9dgZARPTydZVoICSEjA1q3j3Nxw6hRu3FgqbJqt7SVz82aZmXQmE1eu9FZ600JCQt5+2cRUVlbWv/9/ffqo3bmDZcvQp89/ssvhcrFlC/LyptrY4Nw50OldNmwYt38/Zs7EwIHlW+Y0NDQ4HA4APp/ftevhCRO+vXePYWCAsLBldPoyGeuKicHJkyPmzsW+fZg9G/36jdqyBUVFU7t3x8WLWLcOpqYzAQQHB2d+2cTE4XB6977brBmysqjNEHdlb5qMMJlMLpcLgMfjcbnc58+fK321jJCAgICioiLp+Qh1SH26/M3MvPT5M4PPx9GjYLNrvToajffnn5g+HUOGSMlpaAh/f5w9i5QUyrJLyjx2LGxssG0b8vPLx0bS0//MymLQaDh1CsrbDygB/vXrmDEDgwdXvtC6NVauxMGD4HLh6SnTGn+K7t0xZw527ECHDkhNPSJMz86+kZlJB+qsabTbtzFvHvqI9RRZPQwGli1DQQF+/hnr1mHYMISEYPRoDBwotkh6+pWbNxlMpvRtbpVwcICDA0JCMHYs7O0FVX/+jJMnsWYNTE3FFszKwtChdbHNjfAVUp/GvVmz4dRyY0/lr6arBh5PvVkznDqFDx+k5ORwcOQIrK3B4eD8eSmZnz7F7dsYMADa2j2FiUZGQ2k08PlYurTGessAj6dmYIATJ5CeXvlSYSGOHIGtLTIzERMjh8ysLPz8MwYOxL170NXtL0w3MBhEGb66+tVUdHUREYGKK/tl4vJl5OWhUyfs2oUrV/Dtt4iKgoTN1CYmI5o14xcU4NAh+SpKSsLvv2PoUFy4gPfvBVXn56NTJxw4gOJisQXpdFy9ijpc7E74iqhP456aGrF164fx45GVhYULa706Pb2D+/fD2BhLl0qyFDweNm4Ejwd/f6xdiz/+kOQd7OlTBAdj6VIsXYoPH8pNQkrKoT17ssaMQUpKXdh3I6PDBw6gWTN4eEB0srO4GIGBMDfHypUIDMSpU/jrL5kEfvqE1asxeDA8PODlBQOD74SX3r7de/Bg7vDhSE5GRcfPtULz5sfCw6Gjg8WLIddk55UrOH8e69Zh2jS8ewddXcyfj8mT4e+P1NTqi7x6tSM0tGTRIkRH49gxWStKSkJgIObOhbs7nJwQEICff8b581i7Fn5+0NLCxo3gVrdvrFmz6ydOCLr5WUoebycQ6tW4v327RU0N06Zh0iRwOLVenZraAzodO3agc2dIWMlSVgYrK6xYARUVGBtj/XpJMvPzsWwZbG0BoLCwfPHDy5cbmUzMmIGxYyHNqZoSUFd/RKdj50506lTBApaUwM4OixaBRkPr1ggMRGmpTALz8zF2rMCfZY8eePOm3P13YuJ6JhNubhgxAoWFym1HNWhqPqHTsXs32rWDXMs9eDxqsBsFBVi6FH36oLQUjo6YORP5YiZl09Iu0ekYMgSLF4vNU5W8PCxciH79AGDYMEybhuJirF8PU1OB4W7fvvrbbmR0VU0Nx49DU7OaTy4CoYbU54SqkB9+qAsXVBR0OlavlpRBVRUuIpuojYwEfsSqxc5OSnWurnXhE42iatN0dDBxYvlpq1aQccVEixZo0aL8lMutxtTNmYM5cxTRUwHodPj7y1dkxAjBAeUms29fwam9DKGQBg+uZvZCHN26VTgdNKjCKYMhxTGymhp++knWuggE2SExVAkEQj3A4XAOHDjg4+Mj6rxk1apV9ahSE4MYdwKBUA+4u7ufOHFCT09vzpw5F77Ma+3dK9PeAoIsNDXjnpaGceMqR9IRJSUFLi64L36Ze3Y2nJ3x4IHg9MgRzJolNvPatVi2DDye2AzOzkoO1iEOX19QnZ7SUkyaBBcXXL0KAJGRCq608/fHypXK1FDIDz9g/HjBoHZ2NsaPx4wZUookJWHyZLGRmKplzhxB2KnQULi5wdkZ6ekoLoabG+SN5b5wIXZ88dX/8iWcnfH8OQCsXIkJEwRzoaWlcHKqu3EqcUyYUD/u4x89enT58uWVFVm/fn2x+KVCUVFRFy5c8Pb2jomJ8fT0zKynMCZNmKZm3E1MoKGB//0PGzbg77+nlZYOFV7KyZmekgIvLzRvjp49xUrQ10efPggMxL17OHIEUVGS5gPmzUNysmCNipVV+Stl4MCnv/+u7uKC0tLy0d5aZe5cvHoFb2/k5YHPR3ExGAxERuLECQWf9rlz8fo1li1DTg7atNmoRFV9fcHnY9o0vHqFOXPA50saT09Lc377FitXfonEJDMzZiA6Gnv2oF8/ZGWBz4emJtzdUVIid+DD2bNx8ya2bsW7d/DxgYUFKDcT3t4AMHcuUlIwZQo4HHh4yCdZ6cycCQ4HEybgf/+Dg0NKndVLbfStlMjn82lC38pV0NbWpvZYNW/efNWqVe7uyncK+5XTICZUlcuJE5gyBf/+C4Ctrl6+wKKoyG7xYlhYSIqJSkEtXtywAQDc3TF0qNicxsYIDYWHB2bPhqZmR2E6jcaOjNQE0K8flsm6z7FGtGqFzZuxfDnmzoWxMWxssHMn+HzMnClpQlgCZmbYtg2enpgzp0LTak6nTli/Hn5+gjuzbZukaC15eTZeXrCywubNYvNUS//+AuFXr6JzZ7x+DVdXaGpizx65d8zZ2MDXF0FB+OcftGmDjV/edPr6OHgQbm6C9UiBgRViHNYLI0cCQHg4Nm2CioouINvqqBrDZrNbtGixcaMcnQB3d/fevXu7ubktX7589uzZMTExI0aMkNDTJ8hL4+i5l5Zi/HgIg7CGh0sZ69DWFh6Wb4mm0XgA2Gx4euLpU7Flc3Lg7g4WS3D64YOgg1Yte/fizBnQ6eDzweWW+8vmcgWLBB8/rrvP5G3bwOeDzwebDQZDELJZ6MQ7KQlS+0bnzlVY+kmt4uDxyptTQyZOxJo1AGBqCmGXTkdHUhEajcfnQ18fS5bgzRs56vLxwfv3oLaSpaejqAh8PlgsbNuGc9U7CqqG/ftx4AB4POzbBwA8Hvh8PH5cvndBW1uwl5XPh5FRhbLu7uW7k549w6JFcihfibCw8oEsAHPnVljQVQnhhlg+X6ZgI/WFh4fH0aNHha7NTp486erqOqfeB7aaEI3DuFOm9vBhREUhPByXLkna+L5gAdLS0KIFGIwywEyYTqdnBwbi4UO8f19hnV8ltLXx+TNiYjB9Otq3x9mzkqLTtWmDP/8En48tW8BklkfkU1U17t69BEBOTnnEzlrl40ckJ4PDgZsbXr3ChQvQ04OhIU6fxqlTSErCihXQ1ZUipEsX/Pcf/PwAIDAQd+9CQwNbtoDLVY5DQTYbDx/Cx0cwGkMxezYk+AZVUclesQL//ou0NIiLI1gt+vo4fRrm5hg9GpmZ4PEQFoacHCQkoH17WYV07YroaGzZgqws8HhgMPDiBdasEQTP43Dwww/gcrF8Oeh0LFhQYbm6nh68vZGUhGfP4Ocnd+g+Ub79VjCQlZ8PNzdkZor9B46NFbyeJ04E0NC9effp02f8l24anU53cnLauXNn/arUlGgcxh3A2bNgMHD4MC5eBIOB06erz5aWhrQ0WFggLAzffnuIxboivMTlGm7cKDC1EvzI5uSgqAg6Ojh5Es+ewdhY0jze339DSwslJQgIAJ3OErnCSUhQBUCjoXYC4FRm0yYYG2PQIBw8KJjgdXLCgQMC++7tDQsLSI38Y22NDRuQmIhp05CQAF1dHDoES0s8eeKmFCUjIqCri2fPwOeDRkN4ONavB42GJUvEFiktbRYaCg0NcLn44k9MJh49gpER3r/HpUuCrwRqfpjFws2bsgrp0werVuHOHdBogo8A6u+ECQKBHA6Cg9G3r2Dy1senvGxQENq1w/Ll8PVFx45yr9MXhRrIAjBtGrKyYGEhdpCK+ol/+QVTpuDKlcoh6QlfFY1pzH3MGJw9CwASwnGbmIj96KbRigsLNcaNw/TpkmrR18fZs7h1C1u3gsFAYKCkGMdr14LHw/z5yMxEfv4DQDB5mp//TFu7B4CwMJibS2mXUqCe9sxM3LwJLhfe3gJPW76+8PIClyvrXipra7Rvj0ePYG6O2uhF+fhgxQoAsLKCvr7gbkuATi8rKmJNnSqwp7Jz9Chyc+HmhtJSuLsjOhpJSWjbVtJKqmqxsYGxMdLT0aGDoE+wbRtatwaALSKuQg0MqmmIq6ugsZL/5WShUyfo6ODzZwCCT6tq+fXXmlZEaDI0mp77Tz/h7FkwmWAwEBEh3Z9XVej0sqlTce4cTp2SkvOff7BtGxwcYGgIDw9JW8N5PPz4Iz5/xuzZUFcvnxbU1Gynq8uj0bB4MZKT5VZVMTIzsWQJTEwwcCBCQnD3Lt6+xfLlsLJCz55YswayRCvZuBFPnmDePKSlKX8p5PPnWLECNBq0tfHyJWTZsEKjlTg54fhxuX/x3FwsXAhtbYwcxm3JuAAAEdpJREFUiT178OYN5s/Hq1dYt04OIdTv++kTxo3D06fQ1RV0xmUZ/X/+HKtWoUsXdOyIlSvx8qV8+ldi3jx8/izoZ0geyCIQKBqHcS8tFQzLnDmDyEjQaIiIkFuIkZH/hAlwdcXp0+XL2KuSnY0tWzB0KNzdsXs39PQk2bhNm5Caih07MHIknjwpX2F3926PkJDssDAAksYclIuXF4yNERaGpUvRvz82b4a3N6ytsXkzfH3Rtav0kYETJ3DvHgIC8P332LABr15BuXtKqG7soUM4ehS6unj6VLqjSkvLTS4umDwZERHy2UcvL6irY+9elJYKZry7d4e/PxIScOKErEI2b0ZqKrZswfnzsLZGTg4GDICFRYXhF3H4+qJTJ6xdKxif8fWVQ/lKbNiAjAy0aYN9+wQ/optyxsnw+++/L1++nDpOTEx0qThR6+bm5uDgYGhoOGDAAAcHh6cS1iEQGh6NY1iGxcLgweVW8uxZUHZTTkoBjB0LS0tJU2q6uvDzg40NAFAuqxISxGZ2dsbcuTAwAAAOp3xJSX5+MgBzc4SH48wZBVRVBE9PdO8uWLzh5SVwckI1BIC/P+LipEj47jsMGICWLQHA2rp8546y+O47TJsmWIl45AhCQyV5V/9CKQBnZ3ToIBgMkZFFi9C5M5hMjB6N0aORng5DQxgbY/t2qKvLKmTyZLi5wcAAvr6wscHz5zAywvDh0u8kAB+f8psfFIS4OERHy6G/KNOmwcgIVBT67t2xaRPuKj+2RzUcPHgQwKhRo/bt22dmZiY1P6FB0TiMO6r0f2vSHe7aVdJVOr38max6WglLSyl16etj3jx5lKsBlfSsqraEhlBUWtGh9Md5wYIKp3Jt+ZH8q1Wle3fBAdUKYVuoV5eMCF8n1K37EiJX+p2smsfGRnHjbm4usOwUbduWa6J0QkJCTExMHB0dXV1dL126RJcragmhIdFojDuBQKgNTp8+nZCQAKCgoKBVq1aenp7Dhg27dOlSSEgIseyNGvLjEQhfNU5OTjExMTExMUeOHAHAZDKdnZ1zcnI6d+5c36oRagTpuRMIhHKKiopOnz7dvHnz27dv96NCkMhAfn7+hw8fVlZce6Cpqent7a2qqloLahKkQ4w7gUAoJyAgYOnSpd98882ECROuXr3KrEEQ9LKyMj6/oe+SbcIQ404gfL04Ojo6OjpSx+3atTslsgfkxo0b1EGU0KmTeBRwHEaobciYO4FAIDRBiHEnEAiEJggx7gQCgdAEIcadQPh6iY2NNTMzc3BwsLOzGz58OBUrIyoqauDAgXZ2dg4ODhkZGZ8/fx4/fvzw4cNdXV0LC5Xj2Z9QBxDjTiB81QwfPjwmJubevXvNmzePiopKSUkJCQm5fPnyvXv3ZsyY4evre/jw4W+//fby5csWFhY///xzfetLkBWyWoZAIAAAg8HgcDjnzp2bNWuWpqYmABcXl969e2dmZrZu3RqAvr6+Wt2EniEoA9JzJxC+aqKjo4cNG9a3b9+PHz+OGTPm3bt3Lb7EeaLT6VZWVr179zYxMbl06dLZs2dHjRpVv9oSZIf03AmEr5rvv/+e8v5IYW5u/v79e+qYx+P5+vpu2LDB09Pz06dP58+f15IQc5LQwCDGnUAglDN69OgpU6ZMnDiRzWafP3/+/fv3kZGRTCYzQoEQCtJITU2NiopKTU3lcrlmZmajRo0yr5u4ZV8HZFiGQCCU07p166VLlzo6Og4ZMiQ8PDwkJOT69evXrl0bPHjw4MGDT4sLXiw/ERER/fr1e/z4MZvN1tHRSUxMHDRo0NGjR5Uln0B67gTC14utra3omAzFpEmTJk2aJDzdvXu3VDkFBQXp6embKgaoZTKZixcvZrFY1RYJCgq6f/++ARXpBgCwbt06e3t7Vxmj/RKkQYw7gUCoKTwej8vlfvr0STRRRUWFx+OJK0Kn07lcrmhKpVNCDSHGnUAg1BQtLS0VFRW5HIcFBAT06tXL0dGxRYsWNBotOTn5ypUrQUFBtafk1wYZcycQvlJ++eWXrl27Uv3l9PT0cePGUenffffd1KlTJRR89+5dzWt3cXG5d+9e37596XQ6n8+3s7O7e/fulClTai6ZQEF67gTC10t+fv6+ffsWLlwoTMnOzi4oKIiPjy8tLRUOl0dHR0dGRqqpqYWFhWVmZh47dszPz6/mtRsaGpIR9tqD9NwJhK+X+fPnHzt2LCsrS5jy22+/jRo1ql+/fteuXRMmXrp0KTAwUF1dPTk5OSwsbPHixfWhLEE+iHEnEL5eVFVV16xZs3r1amFKZGTkuHHjRo4c+euvvwoTfX19Dxw40L9//9zc3JYtW+ro6NSHsgT5IMadQPiqGTFiRHJyclxcHICcnJy//vrLz89v//7958+fFy5fMTExCQwMHDNmTHh4+NixY11dXadPn56UlFSvihOkQIw7gfC1s3XrViq29YULF7y8vM6cOXPp0qVBgwbdunVLNFt0dLSDg8O1a9dcXV19fX3Pnj1bT/oSZIIYdwLha6dt27ZUJNXIyEjh9qWJEyeKjsxwudzo6Ojhw4c7OjoeO3YsODhYuLqG0DAhq2UIhK8UZ2dn4fHmzZsrXXVycnJychKeMhiMHTt2ANDX168NPzMEpUN67gQCgdAEIcadQCAQmiBkWIZAINSUah2HqaioLFq0SJzjMEJtQ4w7gUCoKdU6DmMymcQXWD1CjDuBQKgpCjgOI9Q2ZMydQCAQmiDEuBMIBEITpJENy8Tb2wLo8XesAmXdHt2Nt7eVvazsdVE5/+jQUgGtFCDe3tYeeNzeVoIyomrLe9Oo/HIVqWFBBWrp8XdsDasTFpdwSYGbVhOVZKmiVu8toSnRmHruwudHwmMpuxBl1VUTZRRAcnVV1Zb3polmk6tpCheUi2qbo0B1wiK3e3YQd0l2yVWzKf0OKOWfn/BV0ZiMu7JoaPZadhS2toS6pw7ecASCBL5G4y6VBvvlK5diDbYVXwnk/hPql3o27mnOI+Ptbeu4J6Lcp64hPMOucTdluY2y3OdKzZH91xEtqPAgeLy97dCon+UtqEB1EopUvQOi6lV7Q6QqQJUaFv2ruEtSb3LNb29Dg8PhHDhwwMfH586dO8LEVatW1aNKTYzGNKEq7+xWb+CuZZdqryrx8Wiw38gKK0bdHNHiN7pZy1hRvdgdBX5QyTdHdLa2WvmS5zYVm4aV2grZ5/YbBe7u7omJiSNGjJgzZ86GDRtGjx4NYO/evcHBwfWtWhOhMRn3OqPBPiENVrGa05SaVslM11fT7vXtVi/1ykhUVNSzZ890dHSmTp06YMCAPn36GBoa1rdSTYomOObelMxEo6OGnwtNEhmb1oTvQLVoa2tTzgmaN2++atUqd3f3+taoqdEgeu66RyNfv34tGm1d9JjD4dDpdDqdji8uLFRUVKpmEx7rHo3McZ0oobrW569WcoJRNcObMUOFp5Izi+PNmzd5eXlV00V1ljHdyMioWsVkRFhKasOrLVWVnJwcLpdbWFhYVFTEYDBEL1E/JY/H4/F4TCZT2ATRpomelpWVMZlMGo0GMT9ccXGxVJ3lapdkcnJyVFVVIdJ83aORAF6/fl1VvcTExGp/MuomcLlcAwMDoYZVb2ZRUZFiP42M2P3zn6jE169fV/qxqv2Xq5rI5/M5HI7woaPgcrlaWlrCnLm5uVlZWXI5DnN3d+/du7ebm9vy5ctnz54dExMzYsSI4uJiudpIkEB9GncDAwObm3E0Gg1WVgD4fD71kEs4ljEbn89ns9kqKioLBnxPpZiYmHz76LVAhJWVLOr92dlCUES2/CwW6wmbTR1bWFjY2dmJql2t/jKmq6urq6mpVUpfMmQUdWBqalreNBG1q9FftoZURU1N7ZmGBnVsYWHRvXt3AHl5eaJuoWL797C9FS+sQoFfkDrV09Nb9v0EYdNCQ0OPHz9eSZ/KbVS0XQDU1dVfqKsDoNForVu37tixo/BSQUFBaWkprYrw2P49ANjeiue3b1/pJxO9CXw+X1tbu5I9XTnSWdg0Pz+/8qgXNWhCVajbYmpqShlWJpNJp9Pbtm1bKVu1/3IyJvL5fBaLpampSZ2WlJR06NBBLsdhHh4evXr1+vDhA3V68uTJyMhIS0tLWRtJkAq//vjf//7XpUsX6pj6JygqKqJObWxsbt68SR3PnTt3+/bt1PH+/funTp1KHcfFxbVr104ojcFg5ObmUsfffPPNtWvX6qAJ4igrKwNQUlJS9ZKRkdHr16+rpnfv3v327dtV00eMGHH69Gmla1hzFi5cuHnzZuEpgIKCAup4165dM2fOFF7q1KnTv//+Sx1fv369V69ewkuTJk2KiIigjtPT09lsdq3rLTObN29euHChuKsJCQlt2rSRUNzY2DgpKen/7d1PKPt/HAfwze/Cb3/N1hjrozZfy/wr7bA/ioMk5jDfcthJEyVqNRxQlHaXm7CDlCQXhByUFAc54CgpmWmjNuKAbd/D52e/xfzbPvP5eH+fj9OMz3uvl70803r3/qShrmTEvwW0hCO6v7+v0+leXOvxeFpbW1886XQ63W43U+X5/X6mloIYAj9zB4Cfhd4qA8xCuAMAEAjhDgAsa29vZ7sEAiHcAYBlDoeD7RIIhHAHACDQPyMjI2y9tkgkksvlFRUVPB6Pz+crFAqj0UjvuBIKhWazOSsri35cXl5O7/UWiUQURWk0Gvp5uVxOb8vj8Xg5OTlms5m+XCAQmEymf593732/jIwMup3X35JKpRaLJbYHPIZu+fWWR4FAYDAYJBJJumpNllAoLCsrUyqV9JcKhcJkMtG/f7FYTFFUbFubUCi0WCz0/nGRSKRQKMrK/jsWQiAQVFVVZWdn83i8zMxMmUxmMBhYaCYRsVis0Wgoikr4XaFQmJOTExu/1yQSScI3mhXxbwEt4YgmbEosFqvV6qKiohc/qdfrc3Nz01o2pIIfjUbZrgEAABiGj2UAAAiEcAcAIBDCHQCAQAh3AAACIdwBAAiEcAcAIBBXwj0SibBdAgAAOTgR7oODgy6X66tX3d3d1dXVpaMepoyPj+t0OpVK1dnZ+fT0lNwiXGvzrXq0Wm3Ws52dHVZWY8Tc3JxOp/v169f/h61zoKrUJT2NXJtA+Cy2zxyObm1tSSQSp9P5paumpqaMRmNlZWWaqkrdzs6OVqu9vr4OBoPV1dUTExNJLMK1Nt+qJxwOq1QqdldjhN/vpyjq8vIyEAgUFhZ6vV4uVJW6pKeRaxMIn8fyf+6hUKi/v7+3t/erFyoUit+/37uXHut8Pl9HR4dMJpNIJE1NTaenpx9f8wrX2nyrnvPz8/z8fHZXY8Tq6mp9fb1SqZTL5VardXl5mQtVpS7paeTaBMLnsRzuXV1dw8PDSdz1vLm5ubGxMR0lMcVms/X19fF4PJ/PNzMzk9ztCLjW5lv1nJ6eBgKBurq6vLy8np6ed26ulr7VGOH1etVqNf1YrVZfXFxwoarUJT2NXJtA+LzvDvfp6Wmj0Wg0GgOBwOzsrFQqbWho+OYa0ie+O/oZj8djsVjcbnfCQ8S473VHCclkMpfLtb6+fnR0tL+/Pzk5mcqLMrvah+J7jEQi8TcLjU/wb64qdeRNI3zJdx9Z53A4Ymc3z8/PHxwcbGxshEKhh4eHUCjk8Xi+uR5mxXcXiUTsdvvT09Pu7i59pOVPFN/RO/R6fWlpKZ/Pl8vlNpvt8PAwlRdldrUPxfeoUqn29vbox16vt7i4mK2qUkfeNMKXsPmxzPLy8tnZ2fHx8ejoaFtb209P9hcWFxdvbm4WFhYI/luKRqMnJyfhcHhsbKylpeXx8TEYDC4tLZnNZtZXS05jY+Pa2looFLq9vV1ZWbFarVyoKnV/wzTCC5zYCkmk7e3tzc3N7GcDAwNsV8S8+/t7rVZ7dXXV3d1NUVRJSUlFRUVtba3dbmd9teQolUq3211TU1NdXT00NFRQUMCFqlL3N0wjvIDz3AEACIT/3AEACIRwBwAgEMIdAIBACHcAAAIh3AEACIRwBwAgEMIdAIBACHcAAAIh3AEACIRwBwAgEMIdAIBACHcAAAIh3AEACIRwBwAgEMIdAIBACHcAAAIh3AEACPQHelw+CNXLZTQAAAAASUVORK5CYII=)
2D Loadings
Finally the loadings can also be represented 2-by-2 as a scatterplot with lmpLoading2dPlot
. Such graphic is of course of limited interest for spectral data.
lmpLoading2dPlot(resLmpPcaEffects = resASCA, effectNames = c("Hippurate"),
axes = c(1, 2), addRownames = TRUE, pl_n = 10)
Warning: ggrepel: 1 unlabeled data points (too many overlaps). Consider
increasing max.overlaps
![](data:image/png;base64,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)
# adding manually labels to points for the Hippurate peaks
labels <- substr(colnames(UCH$outcomes), 1, 4)
labels[-c(369, 132, 150, 133, 149, 144, 145, 368, 151)] <- ""
lmpLoading2dPlot(resLmpPcaEffects = resASCA, effectNames = c("Hippurate"),
axes = c(1, 2), points_labs = labels)
Warning: ggrepel: 1 unlabeled data points (too many overlaps). Consider
increasing max.overlaps
![](data:image/png;base64,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)
Effects plot
The lmpEffectPlot
function is particularly interesting to visualise an interaction term or a combination of effects. Note that this function can only be applied with the ASCA
method.
Main effects for Hippurate
Here the first PC of the Hippurate
is represented along the levels of this effect showing an expected linear effect of Hippurate dose on the PC value.
lmpEffectPlot(resASCA, effectName = "Hippurate", x = "Hippurate")
![](data:image/png;base64,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)
Interaction Hippurate:Time
A more interesting application is the visualization of interaction terms as line plots, here Hippurate:Time
along the Hippurate
or the Time
effect. This representation gives the impression of a quite important interaction effect.
lmpEffectPlot(resASCA, effectName = "Hippurate:Time", x = "Hippurate",
z = "Time")
![](data:image/png;base64,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)
lmpEffectPlot(resASCA, effectName = "Hippurate:Time", x = "Time",
z = "Hippurate")
![](data:image/png;base64,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)
Combination of effects Hippurate+Time+Hippurate:Time
An alternative visualisation of this interaction combines the main effects of Hippurate
, Time
and the interaction Hippurate:Time
. Even if significant, the interaction effect is actually quite small compared to the main effects (Hippurate
for PC1 and Time
for PC2).
lmpEffectPlot(resASCA, effectName = "Hippurate+Time+Hippurate:Time",
x = "Hippurate", z = "Time")
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAAFeCAIAAAD8M3pVAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAgAElEQVR4nOzdd0AT1x8A8HfJHSNMAdkyFbRMBfdCRQFXi4p74MJZabUo2tZttbW/OosDxdHWqi3uVilasUrdIhtkgyCogGySy939/rg2jQFCGCEQvp+/Lu/W90a+PO5e3sMYhkEAAACUC0fRAQAAAGh9kNwBAEAJQXIHAAAlBMkdAACUECR3AABQQpDcAQBACUFyBwAAJdSOkvuOHTswDHv48GHdWSYmJn379mWn+/btO3r06LYNrU3Nnz8fa1iPHj2Q4k5C57xG7fmKgLpWrVqlq6s7efLkNtujoq6+lCPdsWMH3vYBtZCmpqaGhoaio5B048aNc+fOHThwQFNTs4WbmjBhgrm5OTv98uXLkydPDh8+fOjQoWyJnp4eaq8nQaR9htfsa6QEV6TziIqKOnDgwOTJk1esWCG/vUjcSwq5+o0fKdNubN++HSH04MGDurOMjY3d3d3bPiTZffvttwiht2/ftu5mHzx4gBDavn1762622eAatbcrAiQcP34cIZSamirXvcjp+94k0o90+/bt7eixTEsIhUKm4X4UpM9tVHV1dbPXbUtCoZCiKEVH0aBOeI3a+RWpq32exiZh7yJVVdUmrUXTtFAolE9E8tpjo0fa8ZL7wIED2cdbFEVhGHb06NGPP/6Yx+PxeLxBgwadPn2aXUz6XIRQ7969J0yYIL7lCRMmODk5sdMjRozw8/NLSEhwc3NzdHRkC3///XcPDw8jIyNtbe3evXuHhoaKFv7ss88QQgYGBnPmzGELs7OzZ8yYYW1traOjM2zYsN9++00eJwEh5OPj89FHH23fvl1HR0dVVdXd3f3y5cskSa5evbpHjx46Ojrjxo3Ly8sTrSvXwCTC69DXiCAIExOTph4ykucVqaioWL9+fY8ePXg8nq2tbVBQUFVVlWjugwcPvL29DQwM7OzsFi5cWFxcLJr17NmzcePGmZiYmJqajhs37tmzZ6JZ9Z5GKSFJj0FCQ5ejFbcjzs/Pb9GiRQghKysrHx8f1Ngt5OPj4+vre+7cORMTE/ZyBwQElJeXSz+lde8l8asv/Ww3ukcJDW2q7pHWo83+iWiUjP/yDxgwwNPTk2EY9u+emZmZmppaQEDAF1984eDggBDauXNno3MZhnF1dR0/frz4XsaPH+/o6MhOe3h4jBw50sLCYu7cuaGhoQzDnDx5EiHUr1+/r776aseOHf369UMInTt3jmGY58+fL1u2DCF0+fLl5ORkhmHi4uJ0dHTMzc2Dg4O3bNni4uKCYdiRI0ckjuvevXuDBw+Wck4aegggOgkMw3h7e2tpaXXp0mX79u379+83MzNTUVFxd3cfPnz44cOHAwICEEITJ05kF25hYJ3qGpmZmTk5ObWTK8KaOHEijuNTpkzZtm3b+PHjEUILFixgZ127do0gCAcHh02bNq1Zs0ZbW9vKyqqkpIRhmJs3b6qoqFhYWAQHBwcHB1tYWKioqERGRjZ0GqWHJCUGCVIuRytuR1xiYmJQUBBC6OzZs3FxcUxjt5C3t7e1tbWamtqKFStCQ0P9/PwQQgsXLpR+SuveS+JXX/rZlr5HCVI2VfdIJWzfvr3dJfeGNJQ4EEK3bt1iZ1VXVw8cOFBTU/P169fS5zIyJA6E0NGjR0Vzx4wZo6Ojw35bGIbh8/na2tqLFy9mP0o8gxs5cqSlpWVpaSn7kSRJDw8PDQ2N8vJy8T1eu3YNx3Ep50TGVMK2YGE/hoSEIITc3NwoimJL7O3tDQ0NWyWwTniNJCjqijAM8+7dOwzDPvnkE1GJt7c3++eHJEk7OzsnJ6fKykp21qlTpxBCe/fupWna2dnZ1NT0zZs37Kw3b96YmJi4uLjQNF3vaZQSkpQY6pJyOVprO3UdO3YMIZSdnc1+bDS5I4TYP2ksd3d3CwsL6aeUqXMvia5+o2dbyh4lNLopiSOV0B6fufv7+39Rh5Q30cOGDRs5ciQ7ra6u/uWXX1ZWVv7xxx+yzJVOQ0NjwYIFoo/h4eH5+fldunRhP5aUlAiFwpqamrorvnv37s8//1y8eLGuri5bguP4kiVLqqqq2NTQ6mxsbNjqDEJo2LBhCKFp06ZxOP9c3BEjRrDPUlsrMLhGjZLHFcFxnMPh3Lp16+XLl2zJ9evX4+LiEEIxMTEvXrxYtWqV6CrMnDnz+++/d3V1zcrKiouLW758uYGBATvLwMBg6dKlsbGxOTk5bIn4aZQekpQY6pJyOVprOy2nqak5f/580UdnZ2f20kg5pVK2JsvZbmiPzdiUdO2uKeTSpUv79+8vUcj+jaqXs7Oz+MfevXsjhDIyMmSZK52FhQWXyxV91NTUfPz48dWrV1NTUzMyMhITE2tra+tdMSUlBSHEpjyJWW/fvpVl102lpaUlmsZxHP3bPk+8pBUDg2vUKHlcEQ0NjW+//XbdunUWFhYuLi5Dhw6dOHHiqFGjMAxLS0tDCImemLO7WL58OUKI/TMpPgshxD50zsjIsLKyQu+fRukhSYmh7kmQcjlaazstZ2lpKX4Lif4ASzmlUqSnp6PGznZDe2zGpqRrd8m9hdivjUAgaMZciYYNElXR7du3b9y4sU+fPiNHjhwzZkyfPn18fX3r3Q77/vqLL77w9PSUmGVvb19UVGRsbCxeKLqhBwwYcP/+/QaOrBW0k8Da/zWS6TBaQ1PD+OSTT6ZOnXr58uWbN2/+9NNPBw4cGDVq1PXr19nTJfqbUZdE0mQTiuixmPhpbDSkhmIgCEJieemXo7W201QSt1Dd3bEaPaVSSD/bDe2xGZuSrsMn9/j4ePGPz58/RwjZ2dnJMpd5v+1dTk5OQ39FKyoqtm7dGhAQcPjwYVFhQ63cbG1tEUI4jg8fPlxUmJSUFBMT4+7ujuP4tWvX2MJHjx5t3779ypUr7EfRP8JyoqjAOtw1kumoWkOTwiguLs7Ozrazs1u2bNmyZcv4fH5wcPDevXt///139leyKSkp4mt98skn9vb2Xl5eCKGEhISJEyeKZiUkJCCxkyx7SFJi+PDDD8W3I/1ytNZ2ZCH7LSROyill36bWq3v37qgpZ1uKlm+q3T1zb6o7d+7cuXOHnebz+du2bVNTUxs1alSjc9XV1VNSUkR3yZ07d5KSkhraS05ODkmShoaGopJ79+7l5+dLLEbTNEJIW1t79OjRhw8fzszMZMurq6snTJiwfv16Ho+nqqo67l/9+vXjcDiij4MHD275CZFCUYF1uGvUkoNtkiaFER8f7+7uzr7WQwipqqqyT/NxHO/Tp4+ZmdnevXv5fD47Nzo6et++fZWVlVZWVo6OjiEhISUlJeys4uLiQ4cOOTo6WlpaNjUkKTFIbEf65Wit7TSqSbeQOCmnVLQMey+Ja+rZlqLlm+rwNXczMzMfH58FCxZ07dr14sWLsbGxW7duNTMzYy9nQ3MRQiNHjtyxY4evr++kSZMyMjL27Nkj5ZWgvb29lZXVgQMHBAKBnZ3do0ePwsPDjYyM7t+/f+vWrVGjRmlrayOE9u7d6+PjM2TIkG+++WbYsGGDBw+eMWOGmppaeHh4VlbW2bNn632k2JYUElgHvUZWVlZ6enrijZTlQfYr0r9/fzs7uzVr1sTHx9vZ2cXFxV2+fNne3n748OHq6urffvvtrFmzBgwYMGXKlKqqqsOHD1tYWAQEBHA4nO+++27cuHFubm5z5sxhGObHH3988+bNqVOnGqrASglJSgwSG5F+OQYNGtQq2xFVERrSpFtInJRTihCSuJdEazXjbDekFTZVbzMahWheG+ovvvgiLCysT58+Wlpa/fr1CwsLYxeTPpdhmNra2k8//dTMzIz9Fs2aNSswMFC8mZ3Ej+mTkpK8vb11dHS6des2Y8aMvLy806dPGxoaenl5MQxTUlLi4eHB4/FWrFjBLp+WljZp0iRzc3MdHZ2hQ4dev3697nG1VlNIV1dX0Sz2hdixY8dEJStXrtTU1BR9bElgneoa4ThubGwscZiKuiKszMzMWbNmmZubq6qq2tjYLFu2LD8/XzT31q1bI0aM0NXVNTMzmzlzZk5OjmjW48ePvb29jYyMjIyMfHx8nj17JppV9zRKD0l6DOKkX47W2o4EiQaC0m8hiSvFMMyiRYsMDAwaPaUS95L41Zd+thvdowQpm2q0KWQ7Su5NJUoNzZgrrrKyUtSSFLQuuEagneiEt1CHfyzTchoaGtCfXzsH1wi0UCe8hTr8C1UAAAB1cTdv3qzoGJqvpKRk+PDhDTUMkj4XtA24RgAoBMa0oJ9VAAAA7RM8lgEAACUEyR0AAJQQJHcAAFBCkNwBAEAJQXIHAAAlBMkdAACUUHv5hequXbtyc3MVHUVrommapunm9QcNZAFnWN4YhqEoisvlKrzDu1ZEkuSiRYvqjjajfNrLFyM3N/fgwYNN7TitPausrBQIBOLj74DWVVNTU1VVpa+vr0ypp10RCATl5eW6urrK9Bf0woULZWVlio6iLShPMgUAACACyR0AAJQQJHcAAFBCkNwBAEAJQXIHAAAlBMkdAACUECR3AABQQsrTfBUA0LqYLz/TQohCCP96v6JjAU3WeHK/f//+jRs3oqOjCwoKampqjI2NHRwcPD09J0yY0NnGJASg8+CvWyU+rQr5vaOR9ljm3Llzrq6ufn5+L168GD16dFBQ0I4dO2bOnKmhofHdd99169Zt7dq1neS3XgB0KuKZvaES0M41WHP39vaurq7etGnThx9+WG+vAC9evNi7d6+bm9v58+f79OkjzyABAAA0TYPJfceOHW5ublLWtLOzCwkJKSkpKS8vl0NgAAAAmq/BxzLSM7uInp6elZVVq4UDAFA4oZDj6CxRBs/cO5wGa+5BQUGNrrx79+5WDQYAoGgCAXn6GJ3xAp8yU/jrGbYMMntH1GByT0hIEE0zDBMVFUXTtKOjo7q6elxcnKqq6vTp09skQgBAW6mpIU8cpl/mEjPmcZx7Uy59VP9+TA5R/q7PlVKDyf369eui6T179hQVFV29etXc3BwhVFxcPGHCBHgaA4AyYSoryGMhzNs3xLwAjn0vRYcDWkqmX6geOnRoy5YtbGZHCOnr62/cuPHo0aPyDAwA0HaYd6Xkob1M8Vti/n+ZXfXvxwgh4t5DhYYGmkmmX6gWFxdTFCVewufzS0tL5RMSAKBNMW9ek8e+Z/h8YvFKjoUlW4hFRSs2KtBCMtXchw8fvmnTpvz8fPZjfn7+xo0bhw0bJs/AAABtgSl6RR49gChKZekqUWaXAIm+I5IpuR84cKCqqsrW1rZ///79+vXr3r17VVXV/v3wAh2Ajo15mUse3o+4XGJZIGZsKiqvm80hv3c4Mj2WMTMzS0pKOnfuXHx8PI7jgYGBfn5+Kioq8g4OACA/dGYaefIopq1LLF6B6egqOhzQymTt8jchIeHy5ctRUVEbN24sLy/PysqSa1gAALmikxPI44cxA0NiWaBEZm+okg6V945Fppp7dHT02LFjR40a9eTJE5qmIyIiPvvss4iIiCFDhsg7PgBAq6OfPyXP/8jpZknMX4LU1MVnZdbUMh6D2WmBQFBeXq6rq4vj0Dd4xyPTNVu7du2KFSu++uorDMMQQr/++uu8efM2bNjw119/tVYcFEW9e/eu3h7KOiiKohiGeffunaIDUVo0TSOEoF/SpuLGPFaJuEZbWNdOmcnU8lEtXzTr0ruypbkF+7qZTOuiixBiGAYhVFFRwX7xlUN1dbW6unrjy3V8MiX358+ff/311/+tg+MLFiz46KOPWjEOLperq6urTMm9srJSIBDo6sKjTHmpqampqqrS0dFRptQjb1T0HWHENU4vR9VZ/uo4IT7rRknpwuyXw3V1pnfrpoNz0b81dy0tLWWqufN4PC6Xq+go2oJMydTExCQ2Nla8JC8vz8TERD4hAQDkgoq6KbwSznF1I+YsRO9ndoTQSF3dHTaW150/YDM76OhkSu6TJk0KCQlhX6LSNB0VFRUUFOTn5yfn2AAArYRhhNcuCq9f4Q4YQkybg8T+RSYZJq2mBiGkwsGCLcxVlei/505Opv+2tmzZkpGRYWNjgxDS19enadrf33/z5s3yDQ0A0CpoWnjhLPX4AdfDE/eZKD6niqL8ElOfVVam9nODCruSkSm5q6urh4eHJyYmJiQk6OjoODo6ivqZAQC0axRF/nyKTojFx37IHT5KYuas5Bc3S98ds+8OmV35yPqeJCIiIiUlBSFUWFiYmprKFgYGBsorLgBAy5EC8ofj9IsUfMIk7uDhdedvsbJYZmripQev/ZWQTMn9iy++2LFjh6GhoZ6enng5JHcA2i8BnzwZSmel41Nmct3f65M9qaraRl1NjcNx0dRwUVR4QM5kSu6hoaFBQUE7d+7sJE2IAOjwqqvJE4fo/JfErPkcx/cS+K3Sd5MSU/yNDfd1t1FUdKANNJ7chULh69evZ8yYAZkdgA6BqSgnj4UwJW8J/yUcu57iszJqasfFJzto8DZYdFNUeKBtNN7sCcdxBweHO3futEE0AIAWYkpLyEP7mLJSYtEKicyOELJVVztm3z3K1dFIRbKdO1AyMj2WWb169WeffZaWlta/f39VVVVR+bRp0+QWGACgyZg3RWTo94iiVAJWYaZm/5UjdL+sYpCOFkJotlFXxQUI2o5MyX3NmjUIoTNnzpw5c0a8HJI7AO0Hk59HHj+ECIJYFogZGIrKSYZZkJL28+u3z9xcnDU1FBghaEsyJXcYUQ+Ado7OyiBPHsV4PGLxSkxPX3zWpqzcn4re7La1gszeqTSY3CMiIszNzR0cHNjpepfx8vKSV1wAAJnRGS/Ik6FYly7EohWYto7E3HUW5v21tT400Kt3XaCsGkzu3t7eixYtCg0NRQiNHz++3mVIkpRXXAAA2dBJ8eRPJzFjE2LBMkzjv7p5Rk0tB0PWamo6OBcyeyfUYHJnu3Jm1U3iFEVlZ2fLKSYAgIyomMfC8z9xrGyIeQFITU1U/rSiclx8Ug919bu9nRQYHlAgWbsfKC4uFs/mycnJy5Ytq6iokEtQAAAZUPfvCi//yrH/gJi9ABH/NW2soekJ8claXO7Jnj0UGB5QLJmSe3h4+PTp04VCoXjhnDlz5BMSAKBxVNRN4fUrHJc+xLQ56P0fGKpzOOcd7O3U1Q2hMXsnJlPfzVu2bJk2bVpGRoadnV1MTExmZqabmxvbPhIA0NYYRvj7ZeH1K9w+/Yjpc8Uz+9XiEppBCKEhOtqQ2Ts5mZJ7enq6v7+/jY3N4MGDMzMzra2tN23aFBQUJO/gAACSGEZ49QJ15xZ30DB86izRsBs0g1anZ02MTz77+o1iAwTthEyPZfT09Nim7tbW1snJyQghW1vbR48eyTc0AIAEmhb+eoZ6+qjusBvn37zd87JgrYXZDPgBKkAIyZjcPTw8tm3bZmdn5+Li8vnnn8+ePfv8+fMw9DMAbUooJH8+RSfG4eN9uUNHSMycZmjQBcehZ3YgItNjmd27d2tqakZGRo4dO5bH41lZWW3ZsgUeywDQdgQC8uRROikenzxdPLO/Egj+LC1DCGEIQWYH4mSquZuYmPz999/s9J07d+7evWtoaOjiAr38A9AmamrIE4fpl7nEjHkc596i4rSaGq/YpFqazhjgpg4DW4P3NZjcL1++LGW17Ozs7OzsDz/8UA4hAQD+w1RWkMdCmDdFxOwFnA/e+0XS4tSMWpq+7vwBZHZQV4PJffr06Y2uXFNT06rBAADew7wrJUO/Z8rLiPlLOd3tJOb+0KuHkGGsxX6YCoBIg8kdEjcAisWUFJOhB5maGmLxCo6Flag8/E3xCF0dPQLvJja4AgASZP1v7s8///Ty8jI1NTU0NBw1atQff/wh17AA6OSYokLy0F5EkipLVoln9q9zX/olpuzOy1dcaKBjkCm5X7582dPTE8fxDRs2bN68WUNDw8vL6+LFi7KsGx8fv3r16mnTpq1evTolJaVl0QLQKTAvc8nD+xCXSywLxExMReUJVdVfZOXOMzbcZm2hwPBAhyBTa5ktW7YsWbLk0KFD7Mfly5evXLly27Ztvr6+0lcsLS3dtm3bp59+2rt378uXL3/11VfHjx8nCPhVNAANojPTyZNHMG1dYvEKTOe91o2OGrz7fZzdtDQxRQUHOg6Zau4pKSl+fn7iJX5+funp6Y2umJycbGtrO3DgQDU1tSlTpvD5/IKCgmZGCkAnQKckkmGHMP2uxLJAUWYvE1LHXhWx0+6Q2YFsZKq5GxoaJiUljRw5UlSSmJjo7Ozc6Ipubm5OTv803iooKMAwzNzcXDT377//fvr0KTtdXV1dVVXFUaIWXSRJMgxTVVWl6ECUFttNaVVVFYYpSbrjJMZxLp1njE2pmfNJhKGqKoTQKwE5KS3zRS2/v6qKjapKW8ZDURRCqKamRpm+mHw+X11dXdFRtAWZkntISMicOXMYhhk9ejRCKDIycvPmzT/99FNR0T+1CSMjo3pXVFVVVVVVRQjFxsbu27dv0aJFXLEe7BISEkQP7o2NjWtra5XpHmJHO6mtrVV0IEqLPcN8Pl/RgbQOIvYZ/sc1qptl7eQZDIahf++cPYWvc/mCX6zMTRlaIbeTQCBo+53Kj1AoFB+JSIlhshyn9JoRjuNSxturrq4ODQ1NSkpavny5lB+1Ll++/ODBg8qU3CsrKwUCgZ4eDG8mLzU1NVVVVfr6+kpQc6ei/xJeDef0dCBmz0f4ey+lBDSTXVtrx1NAZVMgEJSXl+vq6uK4rKP6tH8XLlzQ1NQcM2aMogORO5mu2fPnz5u3dYqiNm/ebG5ufvDgQXiPCkC9/hl2w9WdmDZb1IXvteISIxWVvlqaKhxMIZkddHQyJXdHR0fu+0O9IIRqamoafXT18OHDqqqqgIAAiqLY53eqqqpKUM8CoHUwjPC3S9Td29wBQ/CP/NC/X42wV0VLXmSM0+9yybGXYgMEHZdMj0GGDBki0Tbm/v37rq6uja6Ynp6el5c3VUxeXl4zIwVAydC0MPwsdfc218MT950qyuzlQurL7FwfvS5netkrNkDQoclUc7e3t3d1df3f//63ZMmS2trajRs37tmzZ+HChY2uOHfu3Llz57Y4SACUDkWRZ0/TcTH4aB+up4/4HG2cG93b2VxVBYf/cUELyJTcT548OXXq1ICAgIsXL+bk5JAkGRkZ6eHhIefYAFBSpID84Tj9IgWfMIk7xIMtq6Xpr3Pz11mYqXE4VmrQaQxoKVlfgnt6ek6ZMuXAgQM0TR89ehQyOwDNJOCTp0LpzHR8ykyue3+2rFQo/CghObqsor+2prdeF8UGCJSDTMn9yZMn8+fPFwgE0dHR+fn5S5YsuXr16pEjR0xMTOQdHwBKpaaaDDtE578kZvpznP57a3WjpPRxeeUvDvaQ2UFrkemF6qBBg0aMGBETEzNgwIDJkycnJCRQFOXg4CDv4ABQJkxFueDwfvrVK8J/iXhmRwjNMOya2r+Pr4G+omIDykemmvuNGzfE+x4wNjb+7bffjhw5IreoAFA2TGkJGfo9U11JLFrOsbJhC/8uq0iprl5gYoQQgs7ZQeuSqeY+cuTIp0+fTp48uW/fvjU1NYcOHUpNTV2yZIm8gwNAOTBvishDexG/ViVglSizX35b4hmbsPdlgYDuFL+GB21MpuQeHR09cuRIhmGePHlC03RERESfPn3u3bsn7+AAUAJMfh55aB+iaWLxSszU7J9ChA7kF7hpaUa5OqlwoMkjaH0yJfe1a9euWLHiwoUL7Mdff/31o48+2rBhgzwDA0AZ0NmZgqMHkaoqsewTzPi/BggYQhccev3h4qBHKE+3LaBdkSm5P3/+fOzYsaKPOI4vWLAgJiZGblEBoAzojDTy+CFMR4dY+gmmb4AQohgmODMnq7YWIaSNc9WVqKc80N7IdG+ZmJjExsaKl+Tl5UE7SACkoJPiybDDWFdDYkkgpqODEKqh6SmJqV/nvvy9uFTR0QHlJ1NynzRpUkhISFZWFkKIpumoqKigoCCJsZkAACJUzBPyh+OcbhYqAR9jGhpsYXpNbdS7sqP23VeYQcUIyJ2sY6hmZGTY2NgghPT19Wma9vf337x5s3xDA6Bjoh7cE176hWPfi5i9EIn1dO2kwcvo7wYP2UHbkOk+U1dXDw8PT0xMTEhI0NHRcXR0FB8tDwAg8k/n7C59iGlzEJeLEEqoqj72qug7W2sOhiCzgzbThFvNwcEBfpUKgBTCyN+pmze4ffrifrPYYTfulpV/GJ+shXPXdjMzbdsRUEEnB/UIAFoDwwivXqCi73AHDsU/nCLqnD2y5J25qsp1ZwfI7KCNQXIHoMVoWhj+M/XkIdfDE/eZKD5ni7XFWgszzToDmQEgb9DMFoCWoSjypxPU00f4uI/YzM4gtCk792pxCUIIQwgyO1AIWWvuERERKSkpEoWBgYGtHQ8AHYpAQP5wjE5/gU+azu03ECEkZJilLzKOvypa081sgr6eouMDnZdMyf2LL77YsWOHoaGhnt57Nyskd9Cp1dSQJw7TL3OJGfM4zr3ZskqKelBesd3a8nNLaFEGFEmm5B4aGhoUFLRz504u/IMJAEIIIaaygjwewrwuImbN5zg4i8p1cfyxmwv0KwAUrvFbUCgUvn79esaMGZDZAWAxFeXk0YPM2zeE/xI2s+fU8n0TUkpIIUIIMjtoDxq/C3Ecd3BwuHPnThtEA0D7x5QUkyF7mPIyYvFKTg97hFB8VfWgmLi7ZWU5fL6iowPgHzI9llm9evVnn32WlpbWv39/VbHxYqZNmya3wABoj5iiQvLY94imVZaswkxM2cK8Wj6Pw7nl4tiTp67Y8AAQkSm5r1mzBiF05syZM2fOiJdDcgedCvMylww7hFRUiSWrMIOuovKx+l08u/SBMTdAuyJTci8thR5KQWdHZ6aTp45iWtrEohWYbheE0Pf5r/L5gq9sLBFCkNlBeyNrO/eCgoIDB/9+Y+YAACAASURBVA4kJiYKhUInJ6fAwEBTU1O5RgZA+0GnJJI/hmFdjYiFyzBNLQahzzNzdua+nGpoQDEMF4PMDtodmZJ7fHz8wIEDjYyMhg8fzuFwLly4EBIScv/+fUdHx9aKg6bpyspKjhI1MyBJkmGYyspKRQeitIRCIUKoqqpK3jviJMZxL//CGJmQM/0FCEOVlQxCudXVSwwNvulmViP/ABSFpmmEUHV1tTJ9Mfl8vrp6p3g1IusLVS8vr3PnzuE4jhCiKGr69Olr1qyJiIhorTgwDFNXV1eme4hhGJIkO8ltpBC1tbVCoVBNTQ2TZ8WZfvaYvnQes7TB5y4ixFoThPXsofQVdpIkBQKBmpqaMjWDJghCmfKMFDIl96dPn/76669sZkcIcbnclStX+vr6tmIcGIZxuVxlOulsxlGmb0V7w94tXC5Xfsmd+vsv+ko4p6cDMXs+wokSUjgtKXWrtcVAba3OcF0pikIIcTgcZbqNORyOXGsD7YdMyV1LS6ukpES8pKSkRFtbWz4hAdAu/DPshqs7MXUW4nKzamu945IK+IIKIaXo0ABonEw15bFjxwYHBz99+pT9GBMTs27dOh8fH3kGBoDiMIzw2kXh9SvcAUOI6f8MqERgHB6H84eLwxg9XUXHB0DjZKq57969e/Lkye7u7jo6OgihsrKyUaNGffPNN3KODQBFoGnhxXPUo/uiztkZhDCEzFVVnrm7dor/54FSkCm5a2pqRkREPHnyJCEhgWEYBweHfv36yTsyABSAosizp+m4GFFmv/Cm+ED+q9+cPuBxoSk76EgaTO4RERHm5ubsoKmiVjEmJiYIodLSUrbEy8urTYIEoE0IheSZk3RSPD5hEneIB0Jo38uC1elZI7voUohRdHAANE2Dyd3b23vRokWhoaEIofHjx9e7DEmS8ooLgDYm4JOnQunMdHzKDK77ALZMncPx7ar/Yy87NSVqxwU6iQaTO8P8V1WBJA6UXE01GXaYzs8jZvpznFxpBrGPYAJMjQNMjRUdHADNIVN9xNraurq6WrwkJyfHyclJPiEB0KaYinLBkf30qwLCP4Dj5FpFUePjk/a/fKXouABoEWkvVAsKCnbv3o0Qys7ODgoKUlFREc3KyMgoLi6We3QAyBlTWkIe+56prCQWLedY2RSTQu+4xLiqqllGXRtfGYB2TFpy5/P56enp7HRmZqboF6oIIS6Xe/DgQfmGBoCcMW+KyNDvGVKgsmg51s0SIaTJ5ZioqHxlYzm6CzRmB9L4+vpeunSp3lmVlZWampo3btxQbJMTacnd2tr66tWrCKG+ffteuHBBvJsUiqKys7PlHRwA8sMUvCSPhSAOR2VJIGZsImQYHMNUOZwrTr0UHRroALZs2bJy5UqEEEVRXl5egYGBEyZMYGepqaktWrTI3FzBI6TL1M798ePHxcXFSUlJopLk5ORly5ZVVFTILTAA5IjJyxGEHcJU1YjFKzF9gz9LywJepF93/qAHdPQGZOPs/M+o6GwPPL169Ro1apRoLtvOULFkSu7h4eHTp09ne1gVmTNnjnxCAkC+6Iw08tRRTEeXWLQS09E5//rtnJQXzhoaOlxZhzcAoP2TqbXMli1bpk2blpGRYWdnFxMTk5mZ6ebmxo69B0DHQicnkGGHMQNDYuknmI4OQshWXW2Cvt5tV0dDFULR0QElQRAE+0vPLl26HDp0qGfPnurq6i4uLg8ePDh37pyjo6OmpqaPj4+oQ8ba2trg4GA7OztNTc0hQ4b8/fffLY9BpuSenp7u7+9vY2MzePDgzMxMa2vrTZs2BQUFtXz3ALQl+vkT8vQxTjcLlYCPkYYGyTAIITctzV8demoqUa+2oF3ZuHHj1q1bIyIiCILw9PQMCQkJCwsLCQm5efOmqFnKrFmzrl69umrVquvXrw8dOtTHx+fZs2ct3K9M/4fq6emxw6haW1snJycjhGxtbR89etTCfQPQlqgH94SXfuHY9SLmLBRw8fnJLyiG+fkDe+gxBshVUFDQ1KlTEUIff/yxv7//qVOnrKys+vXrd/r06aysLIRQYmLihQsXMjIybGxsEEJDhw5NTU3dsWNHeHh4S/YrU83dw8Nj27ZtsbGxLi4uZ8+ezcnJOX/+vK4utBUDHQYVdVN48TynlyMxdxGJ42PjE88WvRmgrQWZHcibpaUlO2FgYMDlcq2srNiPXbv+81uKhIQEhJCtrS32r4sXL+bm5rZwv03o8jcyMvKTTz7ZsWMHGxy0cwcdhTDyOnXzOrd3X3zqLMThEAgN1tFebGI8zdBA0aGBzqXeQaB0dHQIgiguLhYfiq7lw9LJlNxNTExED/jv3Llz9+5dQ0NDFxeXFu4bALljGOG1i9S9KO7AofiHU6pphocQQmiLlYWCAwPgX46OjjRNP3361MPDAyFEUdTkyZO9vLyWLVvWks02rctfkcLCwsLCQujyF7RrNC0MP0s9ecB2zv64ovLD+ORQ++7j9LsoOjIA/mNubu7v7+/n5/ftt99269YtLCwsMjJy165dLdwsdPkLlBRFkT+fohNi8XEfcYeNjC4r945LMlFR+UADfqYE2p1Dhw517dp127ZtRUVFrq6uN27c6NmzZwu3CV3+AmVECsjTx+j0F/ikadx+gxBCH2jwfA30/9fdqisBjdlBa+JyueLZkiXKmWw7Q9a4cePEc+nPP/8smiYIYufOnTt37mzFwBp/Zl9dXd29e/eUlJRW3CsAclRTQx4LodNf4FNmcvsNKhdSCKEuOH66Vw/I7KDzaDy583i8/v37R0ZGtkE0ALQQU1khOLqffplLzFqA9ekXmJ454Fksm98B6FRkai0TEBCwfv36Fy9euLm5aWlpiconT54st8AAaDKmopw89j1TUkz4L+H0sF+Qknai8HWwhbkWDr8+BZ2OTMmdfaEaHx9/8uRJ8XJI7qD9YEqKyWPfM9XVxKIVHEtrhNCUrgZ9tDRXmpkoOjQAFECm5F63a1/Z+3PPzMwMCQkpKCjo3bv3ihUreDxeU0MEoFHM6yLy2EFE0SpLPi4xMNJDCENoLDR5BJ2YrD+CKi4ufirm559/dnV1bXQthmF27drl7e19/PhxHMd//PHHlkULQD2Y/Dzy8F6EcYhln7zQ0XN/+nxzdkt/ug1ARyff/tzZPhM8PT0RQtOmTfv0008XL15c7w9wAWgS/rpVHIS0EBIgBiEM62pILFqRraY+5GmcCgebbKCv6AABUDCZkjvbn/vWrVt9fHzOnTuno6Pj5+cnS3/uRUVFok5zTE1NSZKsqKjQ1tZmSxISEl68eMFOl5eXx8XFiXenYGlpqaqqKr61rKwsiRb33bt3F1+FYZi0tLT3Dg/H2Y7WRAQCgcQDJXV19W7duomXVFZWFhQUiJfo6OgYGRmJl5SUlLx9+1a8pGvXrl26/PccgKKot2/fvnz5UnwZU1NTTU1N8ZKXL19WV1eLl1hZWYmPRY5kOHCapkWj3bIIgrC2thYvqXvgPB5PYiSwugeuq6traGgoXlJaWvrmzRvxEgMDAz09PfGSoqKisrIy8ZK6B56Xl1dTUyNeUvfAMzMzJaoUPXr0wDAM27SW/TjJfdiuF/EIIWbYGJSbhxBaRZPTHJ0scG5tbS27DJ/Pz8nJkX7gFRUVr169kn7gjV5xhFBhYWF5ebl4iZmZmYaGhnhJbm6uKLaGDjwjI4Md30fEzs5O/GPdK66ioiLqkYrV8gNnT35hYaGo23FW8w5clive6IFTFJWRkSFeUvfAa2trJXrd0tDQMDMzY6dJkqRpGnUCMiX39PT07777TtSf+6RJk9j+3P/44w/pK5aXl4uPvKqurl5WViZK7n/++efp06fZaRMTk4cPH4pX6nk8nkTHk0+fPpXIg4aGhuLDdtM0/eDBA/EF1NTUJL6i5eXlEssYGBhI3KkFBQUSy1hZWUncqdnZ2ez/JSIODg729vbiJTk5OWyXniIDBgwwNTUVL4mPj5fIlZqamqJTxHry5InEt8LIyIgr1v84RVESAaurq4v6nGPVPfCuXbtKnOG6B25tbS3xmiQzMzMxMVG8xNHRUeIrmpKSIpFW6h54XFxccXGxeEm9By6RB42NjTkcjqjB1k/P/z5v2RMhhJ4//ydgHk+vl30lKRCt8u7dO4mDMjQ0lDjw/Px8iS6sbWxs6h64+EiTCCEnJyfi/YbzqampEgc+cOBAE5P33ujGxcVJ5EotLS3xRmgIocePHwsEAvESExMT8W8HSZISB6WhoWFg8F4/aKWlpY0e+MuXLx8/fixeYmtrK3HgWVlZbEffIi4uLhIHnpKSIpFPBw8eLFEfio2NlThwHR0dia9V3QOXuG34fL7EQWlqakoceElJicQyxsbGOjo6oi1I/P1QVljd31bVZW5uvmfPHj8/v23btnE4nM8//zwpKWnQoEHv3r2TvuIff/zx+PHjzz//nP04adKk48ePizIpn8/n8/nsdFBQ0J49e8RroyoqKhIPcAQCgUS0ElV7dpvvHR6GSeQdhmEk7h4OhyNxp9I0LVFT5nK54n9FEEIURUlUKnEcF0+4VVVVNTU1El9agiAkOnurW4/o6AeOEBIKhRLfn9Y9cEFwIEKohst9pqM3rfeQj7NTD1rZRbr3tuepK/eBi2v0itc9qKYeuEAgqKiokPiXC3XwA79w4YKWltaYMWOQspOp5s72525nZ+fi4vL555/Pnj1bxv7cTUxMRM8lCgsLCYIQX0tVVVV05bhcrpqamvReLute5rrU1NSkL4BhWKPLcLlcbmPj8uA4LvHlr3c7je5L4r6sV4c7cIIgiMZ+C9rCA3+jolaOE9N6D36rorLJzmmhiZFDF128vtc5SnbgIq1yUNKXYTOvkh1453nnJ1Nrmd27d2tqakZGRo4dO5bH41lZWW3ZskWWYfYcHR0FAsGjR48Yhrl06ZKHh0fnObNATpiqKszAEEPMxL5D36r8kwtC7bvXm9kB6LRkqrlnZWU1rz93DMO+/PLLAwcOhISE9OrVKzAwsEXBAkCSwlNHq0pKPurvkcH775EX5HUAJMiU3AcPHtyzZ8+FCxfOmTPHyMho9OjRsu/Aysrqf//7X3PDA0AMw5BnT9N5ObP6DHmi+15jRywqmvEYrKi4AGiHZHosExMTM2HChP3795ubm/v6+l69elXizRIAbUB49QKdEBvYq/f1rvX0KIBFRbd9SAC0WzLV3F1dXV1dXb/++uvo6Oiff/554cKFXC533rx5LR8rBAAZUX/9SUXf4Y4cc9hrfP/C18YqhIe6WlVVlb6+PrzIAaCuJozBimHYkCFDtm7dum3bNoqivv76a/mFBYA4Oi5G+PvlWld3fMw4hNB8Y0MfPeg3BnQKGzdujImJacaKMtXcEUJv3ry5dOnSL7/8cvv2bT09vWnTps2cObMZ+wOgqeisDPLcjwV2vbxtHAILCpdDL4+g3eOvWyWaVv16f/M28urVq8jIyG+//bZ5o1XLlNxHjRp1584dHo/n6+t77do1T0/PRtvPAtAqmNdF5OnQfBPTUb3cyoXCvtpaja8DgEKJZ3b2Y/Py+//+97/ExETpv/6RQqbkrq2t/fPPP48fP168LwEA5I2pqiRPHsVwwmTm/IGFb9dZmLloajS+GgBthcnPo9NSG12Mv24V7jPxvSIdHW7vvtLX+vbbbxFCvXr1al5sMiX3ixcvNm/rADQfKRCePEJVVqgtDVTR0zvzft9kALQHdHam8PoVWZaUWIxjZdNocm8hWZ+5A9CmaJo8c+pZReUCr0m/6uo1s+oCgJxxBw/nDh4uUSjxWAa14LF7SzTzaQ4AciW8Ev64oGDsQM9qLq4KLR1Bh6KQVF4XJHfQ7lB//kHdv6vWf5C9lta93s426o10FAVAeyPK76pf71dUrm/wsYyJicnNmzcdHBwQQl26dHn58qVEz8sAyAMd+0z4x2/cvgP7jBz9t6KDAaDZFF5/bzC5d+nSZcqUKYMGDeJwOO/evVuxYkXdLj1DQ0PlHB7oXOjMtKt/3jw3ZMxpH29FxwJAuyAxUorsGkzuFy9eDAkJef36NfuxsrKy0f6aAWgJpujVueu/z3Md1FdbswYhaNAOQEs0mNzt7e337dvHTr99+/bHH39stI98AJqNKS8jww4nmNsO1tK86uqkCb+SA6BlZGoKGRkZWVBQcODAgcTERKFQ6OTkFBgYKDG2IQDNx+eTJw4ztTXbPT1JIxMVDjSPAaClZGotEx8fb2dnd/78eQMDA1NT0wsXLtjb20sMDw1AM1HU3quXLzMcYs4izMQUMjsArUKmmvvq1au9vLzOnTvHDqVIUdT06dPXrFkTEREh5/CAsmOYXdevrzcwm21i4dfdTtHRAKA8ZKq5P336dMWKFaJBcrlc7sqVKx8/fizPwECnUBF54wzDmYNRJwf1V3QsACgVmZK7lpZWSUmJeElJSYm2trZ8QgKdBfX4vsqt638KK08OG8aFn6EC0KpkSu5jx44NDg5++vQp+zEmJmbdunU+Pj7yDAwoMwahnU+fFV67xOnpYPDhFHjMDkCrkym5796929bW1t3dXVdXV1dXt0+fPhYWFt988428gwNKiWbQkpi4DRU1v/R0JmbNR83trhoAIIVML1Q1NTUjIiKePHmSkJDAMIyDg0O/fv3kHRlQVjGFr069K9uUnxX4kS9SUVF0OAAopyZ0+evu7u7u7i6/UECnUFvjdPZUDCnsNT8A04RfoQIgL/AfMWgjfJo+VVBI/nCcefum59SZWFdDRUcEgDKDwTpAW6imaN/E5JvFpXZv3vafPodjZaPoiABQclBzB21hf37BnyXvjsc97DfMg+PkquhwAGgLWFS0AvfenJp7eXl5qzdyp2m6pqam2eN8t0NCoZBhmJqaGkUH0i6szM0YeP9O/169BG79USudE5IkEUI1NTUYtJGXD4qiEEJ8Pp891cqBJEmapttgRy3P7Ldv3w4KCnrx4oW9vf3+/fsHDhzYpNWbltxjY2OnTZuWlpbm4OAQHh7eo0ePJq0uBYZhOI4rU3InSZKiKNHPejunYlKYy+e75udwfrs4oEdPjs/EVmz4yKYeHMchucsJwzAIIS6Xy1WiTjo5HE5b3jBYVDTjMbgZKxYWFk6YMOGHH34YPXr0nj17fH19c3JyVFVVZd9C01LPvHnz/Pz8goKCNm3aFBAQcPv27SYG3CAMwwiCUKbkzufz2YNSdCAKUyQgxySmlPD5iZEX1M26qcxZgIjWbPgoFAoRQgRBQHKXEza54ziuTHUULpfbBjdMy6vt0dHRbm5uvr6+CKH169fv3r07LS3N0dFR9i00eM1KSkp0dXXFsy1JknFxcTdu3NDW1g4ICOjfHzoDAdLMSk7Nrqm9GPO3uoYm4R/QupkdgPbgaUXlzdJ3CKH+2loeujoIoXtl5dFl5eLLYFHRu2wsEUI+el2cNTUQQleLS8qE1GyjrlK27OPjM2LECHY6LS0NwzB7e/smxdZgTfnhw4e9e/e+cuWKqIQgCBcXl4MHD5aWloaEhPTt27dJewKdzcFupr8nPh5a9pZYsAyatAOlFF1WEZyZE5yZc6PkHVtys/RdcGaOxGLsMo8qKtmPZ1+/PVxQKH3LPB5PT08PIXTr1i0vL689e/Y09TFAgzV3Hx8fCwuLzz//fNeuXTt37hw+fDhC6PTp09OnT//qq6969+597ty5Ju0JdBJZtbXGKirqNGV77rR1fh6+eCVmIK2GAkDHtcrcZJW5iXjJluy8epcUf/L+Uy+ZercuLy8PDAy8d+9eWFiYp6dnU2OT9ijNwcHh0qVL9+/fX79+PY/H++qrr1xdXRMTE6urq3k8XlP3BDqDpKpqz9hEzy66x5/epXOzidkLOJbWig4KAMVr6ptVkiR9fHx69uyZkJDQpPeoIo2/Jxk4cGBUVNSNGzcWLlxob2+/devW7t27N2NPQOmVCoUjYhNUMGx9RhId/xz/cArHwVnRQQHQpprXNqauK1eulJaW7tu3TygUsm0H1NXVm9TkpJFFz549u3z58rCwMC8vrydPnkycOHHixInLly9/9epViwIHyqgLjn9lbXlbWGlz9xbXYzR30DBFRwRAR/XkyZPk5GQtLS3NfyUnJzdpC9KS+5YtW4KDg/X09Hbv3v3pp59iGDZ9+vS4uDhnZ+ehQ4du2LChZcED5fFa8M+PXOaXvu72+2WOSx/ce7xiQwKgQ9u5cyfzPgcHhyZtQVpyP3ToUFhY2Pbt28+fP3/kyBH2XwMcx5cuXRoXFwcjMQHWrdJ33R8+DX9TzOTlkGdOcSytiamzEbQ9B0ChpCV3HMcFAgFCqLa2lsvlij/u4fF4wcHBco8OtHvRZeXj45O7q6sNo4XkiSOYnh4xbzFSot+8ANBBSfsSBgUFzZs3b9KkSVevXl2zZo0y/XwUtBYXTY2FJkZbjQw0j+xDHA4xfylSh5ZUACietOQeGBj4wQcf3L17NyQkZOLEiW0WE+gQamhancPR5HIPWnUjjx6gK8pVlgZiXfQUHRcAACHpyf3WrVvOzs6jR49mP166dOn06dNFRUXOzs7BwcGWlpZtEiFoj04Uvt6WnXe3t5MZgZM/n6Lz8wj/AMzUXNFxAQD+Ie1Ji6enZ1RUFDu9b98+X1/fd+/eOTs7P3nyxNHRMSkpqS0CBO1P6KuihSlpDho8fQIXXr1AJ8bhEydz7HopOi4AwH9kevFFUdSXX365a9eudevWsSVz585du3bttWvX5BkbaKd68dRnGxkes+/O/eum8O+/uJ4+3AFDFB0UAOA9Mr0jzc7OrqioCAgIEJX4+/s/ePBAblGBdopBCCE0REf7dK8eeHyM8MY1jqs77umt4LAAAHXIlNz19fW5XG5lZaWopKCgQFNTU25RgfZoc3bu/JQ0mkEIITornTz/I8emOzF1FjRpB6AdaiS5f/3118uWLTt27JiDg8OmTZvYwvT09D179rD9RILOgEFoTUbWluw8dQ4HIcQUFZKnjmEGXYk5i5ASjdEDgDKR9sz96NGjGRkZGRkZDx8+zM7OzszMDAsLQwh5enpyudzvvvuurYIECoYhxEHYZ93MdttaMRXl5InDmApBzF+K1NUVHRoAoH7SkvvixYvFP5aUlLAT+/fvHzlyJDyW6VS+sbXCEEJ8Phl2mKmpVlkaiOl2UXRQAIAGNdJahqKoy5cvR0ZGvnr1qrKy0sjIyMzMbOrUqZDZOwMhwyxKTZ9l1HV0F10MIURR5I9hTNErYv4SzMRM0dEBAKSR9sz97du3zs7OAQEBKSkpjx49+uuvv8rLy2/cuNG3b19fX1+2HzGgrAQ0MzUx9XTh69TqGrZEeCWcTkvBJ8/g9Oip2NgAAI2SltxXrFhhZGSUlZV1+/btzMxMT09Pd3f3uLi4hISEhISEL7/8ss2iBG3vnVCYVF19yM52pZkJQoi6eZ16cA8fM47r1k/RoQEAGictuUdFRa1fv15LSwshpKamtnr16pMnTyKEHBwcdu3adfHixbYJESiEoQoR6+66xNQYIUQ/fyK8eYPbbyB35BhFxwUAkIm05K6qqiretr22tlb0USAQvH79Wr6hAUUoF1LLXmS8EwoRQqocDkKIzkgjz//EseuF+05TdHQAAFlJS+4TJ04MDg6OiYlhGCYpKenzzz8fNWoUQigqKmrTpk3e3vC7RGVTKhR6xiacKHwdU1nFljCFr8gfjmHGpsTs+Qj6fAag45D2dd25c6eFhUWfPn0IgnBwcGAYhm3bvmPHDktLy3379rVVkKCN/F1WkVxdc9mx1whdHYQQU1ZGnjiMqakT85cgleaMvw4AUBRpTSG1tLQiIyMfPXqUlJTUrVu3YcOGEQSBEPrll190dXVl3EF8fPyJEyfy8/PNzMwCAgJ69oSGFu3XOP0umQPcuhIEQgjV1pInDjMCvsryTzEtGFIRgA6m8X+0+/Xr5+/vP2rUKDazI4Rkz+ylpaXbtm3z8/M7depU//79v/rqK5Ikmx8skI/cWn5I/it2+p/MzjZpf11IzF6AdTVSZHAAgGZp5lPUDRs2mJiYNLpYcnKyra3twIED1dTUpkyZwufzCwoKmrdHICcZNbXDnsdvzM59Lfj37y7DCH/9mU5Pxf1mcWztFBodAKCZmjmQsa2t7ZAhjXfh7ebm5uTkxE4XFBRgGGZu/t9gPbm5uYWFhey0UCgkSVKZhmmlaZphmPb/n8rXOXm1NP2HQ88uGGKjZSJ/Z549wrwn0I4udDuOn6IohBBJkhh0Sykf7A8VhUIhwzCKjqXVUBSlTIcjBdY2xxkbG7tv376ZM2d6enqKCvfv33/69Gl2ukePHvv27VOm5N5RCGimkBJa/PvMjYiLUYu4Srq41Y4Zp9jAAJCH33//XV9ff9w45b+9G6m537lz58iRI4WFhSNGjFizZg2P98/A9vfv39+6dev169frrhIREfHLL78ghCZPnuzj41NdXR0aGpqUlBQYGOji4iK+5PTp00UDtO7Zs0dXV1eZknt1dbVQKNTWbqevIp9VVhEY5qTBQwgZ/lvIpCbTkb9hPR3UpsxQa/fXgs/n19TU6OjoQM1dTkiSrKqq0tLS4ipRx848Hg/Hm/nEomORdpBXrlzx9fUdMGCAqanpt99+e/369du3b6uqqiKEXr9+fePGjXrX8vLy8vLyYqcpitq8ebO5ufnBgwdF72NFDA0NDQ3/SSw4juM4rkzJnT2W9nkb/V1WMTYh2UGDF93bWVTI5OcJzp7GTM1VZs1HKioKDE9G7EMkHMchucsJTdMIIS6X2z5v4+bhcDid5IaRlky3bNmyePHi6OjoX3755fnz55mZmZs3b27S1h8+fFhVVRUQEEBRVG1tbW1tbSd52tWekQwzO/mFqYrKLx/81yyVKS0hTxzBNDWJ+Us6RGYHAEgn7Q9yamrqnj172Glra+sTJ074+voGBARYW1vLuPX01MC1KwAAGF1JREFU9PS8vLypU6eKSg4ePGhhYdHscEHLERh2xamXIUEYqvz7v1R1NXn8EKIpYuEqTFNLodEBAFqHtORuZWWVkpIybNgw9qOPj4+Xl9fy5ct///13Gbc+d+7cuXPntjRG0Eqiy8r7ammpcDBHDd5/pWyT9nclxOKVmIFhw2sDADqSRvqWCQoK+vHHH/Py8tiSw4cPP3r0yN/fPzs7uy2iA63n/Ou3I54n7MjNe6+UYchffqIz04jpczmWsv5DBgBo/6TV3Ldt21ZYWDhv3jxnZ+eYmBiEkImJye3bt319fUVNGEGHkFRVPTP5xTAd7bXd3htBSfjbJTrmCT5xMsfRpaF1AQAdkbTkzuVyw8LCvvnmG/HefZ2dndPS0qKiopKTk+UfHmgdH2jwfujV4yMDfXWx9kjUg3vU3dvcYSO5g4crMDYAgDw00vQwNTU1IiLigw8+QAjduXNn6tSpAwcOXLRokYmJyYoVK9okQtAiokHyZhh2Fc/sdHKC8PKvHOfe+NgPFRQaAECOpCX3P/74w9XV9fz58wihK1eujBgx4tWrV717946Pj3d1dX306FFbBQmaaVfuS8fHMX+XVUiUMy9zyTMnOZbWxLTZqHO0+QWgs5H2WGbt2rWTJ08+ceIEQmjz5s0rV67cv38/O2vBggXr1q27fft2W8QImuXYq6L1mTn+xob9tTXFy5mSYvLEEUy3CzF3McIlf1kGAFAO0mrumZmZc+bMYX9ZmpaWNmnSJNGsefPmPXv2TO7RgRaY0lV/p43lcfseXLG6OVNVRR4/hBiG8A9APJ6U1QEAHZq05O7u7v7gwQN22sHBIT09XTQrNTUVfovUPjEIlZBChJAujgdbmHPEH7qQpPDUUabsHe6/BNPvqqgIAQBtQNpjmQ0bNowfP760tHTGjBnr1q1btWqVrq5u7969o6Ojg4ODv/jiizaLEsiIZlDAi/R7ZeVP3Fw0JTp7Yhjy7Gk6L4eYs5BjYamgAAEAbURacvf09Lx8+fKmTZtEw6X6+fkhhIyNjTds2LB69eq2CBA0xZIX6cdfFW2ztpDM7AgJr16gE2Lxj/w4HzgpJDYAQFtqpLM3tovHnJyc/Pz8169f83g8IyOjXr16qUDfUu3SlK4GH2jwPjU3lSin7tyiou9wR47hDhyqkMAAAG2sweT+8OHD/v37s9OWlpaWlvX/I//mzZvKykrZuxID8iCgGYKDYQh56el66UmOcEvHxQivX+G49MFh/A0AOo0GX6hu3Lhx8ODB4eHh7GBmdSUlJQUEBAwYMKC0tFRu4YHGVVP0+PikNelZ9c6lszLIcz9yrLsTU6FJOwCdSIM194iIiLNnz27btu3jjz8eOnSoi4uLoaGhiopKSUlJWlragwcPsrKyFi1a9OzZMx0dnbaMGIirpmif+MS/yyrmm9TToSPzuog8HYrpGxBzFyElGm8BANAoaV/46dOnT58+/cGDBzdu3Lhz505BQUFtba2hoaGjo+O6devGjRunoaHRZoGCeqlxOD15vE/MTX0N9CVmMVWV5MmjGE4QC5YidXWFhAcAUJTGa3MDBgwYMGBAG4QCmoRBCEOIg6Ejdrb1zCYFwpNHmMpylaWfYLpd2jw6AICCKc+YpZ1KkYAc+Czur3fl9c+mafLMKTr/JTF7IWZqVv8yAAClBs9hO55XAoFnbGJuLZ9C9Q9IK7wSTicn4FNmcux61rsAAEDpQXLveIQMo4JhkS4OA7TrGe+UuhVB3b+LjxnLde/f9rEBANoJSO4dTzdV1WfurvW2aqSfPxVG/s7tO5A7yrutwwIAtCfwzL3DSKyqnpKYUkVRCKH6M3tmGvnLTxy7nvikaW0cGwCgvZEpufP5/J07d96/fx8htGbNGm1tbW9v7zdv3sg5NvCfmMoqj+cJj8orX5NkvQswRa/I08cwA0Nipj/iwN9sADo7mbLA6tWrt2zZUltb+/z58717927cuLG0tHT9+vXyDg6IxFVW6eDcv3o7Waup1Z3LlJeRYYcxFVViwVKkBk3aAQCyPXMPDw///vvvR4wYsXPnzlGjRn322WeWlpaffvqpvIMDIvOMDacaGqjXWyXn88kTh5naGpVln2A6kh3LAAA6J5lq7qKuwe7evTtixAiEULdu3UpKSuQbGkDoZum7kPxX7HT9mZ2iyB+PM0WFxJxFmLFkZ5AAgE5LpuTu5OR0+vTpx48f37x509PTEyF0+fJl6AlS3n4rLp0QnxxW+Jpk6m/PjhhGeOEsnZaKT5nJ6W7XttEBANo1mR7L7NixY/z48adOnfLw8Ojbt++6det2794dFhbWinEwDMPn8zlK9CaQoij2oJq9he9f5jvz1K/07E4LBPVv5c8I9OQhGjNW6OAsbMGOOiihUIgQ4vP5GPR2KR/sGRYIBA11DdsRCYVCpqHaknKRKbmPHDkyMzMzNTWV7eF97NixkydP7tevXyvGwTAMTdOtuEGFY2+glhzUD7bWFGK0OJz6N/LsESfqJuPWjxk0HCnXqZOR6AxDcpcT9gwr2XeTYRhI7u/Jz8/fv39/bm7uX3/9lZSUNHLkyNaNg8PhqKurK1nNnaZp9aZ3x/hj0Zt+Wpp2PGlr0qnJ5LWLnJ4OxJSZnbnho0AgUFdXh+QuJwKBoLa2VlVVFVei/qIJglCmPCOFTAcZHR09cuRIhmGePHlC03RERESfPn3u3bsn7+A6oe/zX81NfvFtXr6UZZjCAvLMSczUnJg1vzNndgCAFDKlhrVr165YseLChQvsx19//fWjjz7asGGDPAPrjN6Q5BdZuVO6Gnxfby++CCGEmLJ3ZNhhjMcj5i9BMJItAKABMiX358+fjx07VvQRx/EFCxbExMTILapOqitB3O/j/PMHdkRDzxlqa8iww4gkiQXLMM16eg0DAACWTMndxMQkNjZWvCQvL8/ExEQ+IXVGP79+QzEMQqgnT53bUGanKPKH48zbN/i8xVjXegbVAwAAEZmS+6RJk0JCQrKyshBCNE1HRUUFBQX5+fnJObZOgUHok/SsmUkvzr5+K3U5RvjrGTojjZg+h2Nl01bRAQA6Kplegm/ZsiUjI8PGxgYhpK+vT9O0v7//5s2b5Rta53D1bcm+lwXrLMxnGXWVspjw+hXq2WN8wiSOk2ubxQYA6LhkSu7q6urh4eGJiYkJCQk6OjqOjo7m5ubyjqyTmGigF+HsMEZPWp8w1MO/qTu3uENHcId4tFVcAICOrfHkXl1d7ezsfO3aNQcHBwcHhzaIqTMgGeZpRSU7lJL0zE6nJAovned84ISP/bCtogMAdHiNP3Pn8Xj9+/ePjIxsg2g6CT5N+yWmeDxPyGuszwDmZS750wnMrBsxcx40aQcAyE6mxzIBAQHr169/8eKFm5ubltZ/LfAmT54st8CU2drM7KtvSw7bd++mqiplMaakmDxxBNPSJuYvQQQ0aQcANIFMyX38+PEIofj4+JMnT4qXQ3Jvns8tunno6vga6EtZhqmuIsMOIYYmFizDNDTbLDYAgHKQKblXVFTIO47OoExICRi6K0EYqhDSMzsiSeGpUOZdKbF4JWYgrRUNAADUS9b+gAoKCg4cOJCYmCgUCp2cnAIDA01NYWiIJighhV5xiVwMu9/HuZFurhiGPPcDnZtNzF7AsYRO8wEAzSHTO7r4+Hg7O7vz588bGBiYmppeuHDB3t4+ISFB3sEpDZpBXnGJSdXVW60sGu3AUHjtIh3/HJ8wiePg3BbBAQCUkUw199WrV3t5eZ07d47t+ZOiqOnTp69ZsyYiIkLO4XVgWk9iEUKMx2CEEAdDGyzN9XB8uK6O9LWou7epe1Fcj9HcQcPaIkoAgJKSqeb+9OnTFStWiPp05nK5K1eufPz4sTwDUxJYVDQ74Wug32hmp5Pihb9f5rj0wb3Hyz80AIAykym5a2lpSQyHXVJSoq2tLZ+QlIEopyOEvs59KcsqTF4OeeYUx9KamDobwegTAICWkSm5jx07Njg4+OnTp+zHmJiYdevW+fj4yDMw5RGcmdPoMkzxW/LEEUxPj5i3GCnRqDcAAEWRKbnv3r3b1tbW3d1dV1dX9//t3XtQU1ceB/CTN5AIaHdtUZAFFFAjDS9ZrLZUQaCdabEIzBSYsepYtDVY2mmZsY60HSmgVFwd31WxpDsqoDwGTcW6BnTVsQo+qu2KxKEitpNSUSAhj7t/pM1SBUzYJBeO389fJ4cr93ev8J3Lufee4+kZFhY2adKkoqIiRxc3SvW/bLcG092t37ONcLmCt7KIq5uDqgKAp4pVF4kSiUSpVF64cOHq1asMw0yfPt2+q2PTZMBk5/zrtPnO6gD0esO+HcyDLmFWNmfsOMcWBwBPDRtGAHx9fSMiIgghP/74I8MwWJXYJgPnu8mk/2ep6U6bYNEyzgRMtAkAdmNVuP/222/z588XiUQNDQ2EkJdeesnb27uqqgrvMT3OkuAPHz7s6+sbN26oi3FDTaXp2mX+glRu4FSnVAcATwurxtzlcrlWq7UMsldXVxuNxpycHEcWRj/jyePGMypebCLv77PZrgUAaGNVuNfX13/88cfR0dHmj5GRkatXrz5x4oQjC6OcqfmiQVnLlUXwYxPYrgUAKGRVuHO5XLFY3L/Hzc1NKMQktMNkar2pP1jG9Z8sSE3HI+0A4AhWhXtiYuLq1atv3bpl/tjW1rZmzZq4uDhHFkYt5l6HvnQ35y9/FWQuJTwe2+UAAJ2sCvfi4mJ3d/fAwMCAgIDAwEB/f3+GYYqLi63fjU6nKyws1Gq1w62TEsyDLv3e7RyhQPBWFnF1ZbscAKCWVU/LuLu7q1SqkydPNjU19fX1zZgxIyEhgWvLqm+7d+8+ffr0ypUrh1snFXQ6/Z7tTG+PMCub4zmW7WoAgGZPCGiDwdDT02Nuv/zyyyEhIS4uLi4uLjbt4/z587/88sswC6SG0agv28PcuyvIWMzxmsh2NQBAuaGu3BUKRVZWVlZW1vr16wkhb7/99s6dO/l8vsFgmDt3bmVlpYfHE6Y5JIR0dnaWlpZ+8sknixcvfuRLOp1O98cK0cwfhnsgI9TvR8QwxsoDpv/c4C18kzM5iL7DZIX5NOJkOo7lDNN0kmk6lqENGu6HDh1asmRJTk5ORkYGIeTChQs7d+58//33CwsLm5ubk5KSNm7cmJeXN/R3Zxhm06ZNGRkZA77Ls2PHjv3795vbU6ZM0Wg0Ng31jAoajYYQIjx9SnThrG7O3L6/BRCNhu2iqPLIfKVgd/fv32e7BHvq7u62dexhlBo03IuKirKzs/Pz880fDx486OHhsW7dOh6PFxYWlpOTs3v37gHDXalUHjp0iBCSnJxsMpk8PT2jo6NNJtPjW86dO9fb+/d37mtrayUSCU3hrtPpDAaDWCzmXLlE/q0i4TOFsQl4etSO9Hq9TqcTi8WYCcNBDAaDVqt1c3Oj6RdTJBLxno6n1AYN9+vXr3/++eeWj998801iYqJIJDJ/DAoKun174Jls4+Pj4+Pjze0NGzacPXu2sbHR/KdQZmZmTk7OCy/8/oK+VCqVSqXmdn19vYuLCzU/Q7qP5P+7NuDxuEFTBQvfJLQc3QjBMIxOp3NxcUG4O0hfX59WqxUKhXyKpqEWCATU5MzQBv0/EwqFlt+Zjo6Oy5cvy+Vyy1d//fXXsWOf/LzHBx98YG6YTKakpKSvvvrKzY3+KW11H8n/9NloFKS/hWQHAGcaNHGmTZtWVVVlbu/fv59hmP5vLSmVypAQLN9sNaGI7QoA4Oky6JX7hx9++Prrr//8888ikejAgQPx8fE+Pj6EELVavXfvXoVCUV1dbf1uuFyuTdtTRveRXFT4D7arAICnyKDh/tprrx08eLCkpEStVicmJm7bts3cP2XKFD6fv379+ldffdVZRY56SHYAcLKh7pOkpKSkpKQ80tnY2BgUFOTp6enIqgAA4P9i803wqKgoR9RBE/N1uuW2Ki7bAcD56HnCaaTRr8l/4kpMAAAOgufzAAAohHAHAKAQwh0AgEIIdwAACiHcAQAohHAHAKAQwh0AgEIj5Tn34ODgd999l+0q7Kmnp0ev11uzWBUMj1ar7e3ttWZ2UhgevV7/8OFDd3d3yiZAX7JkCdslOAPn6Vl0yskKCgpUKlVdXR3bhVDr66+//uKLLxoaGlxdXdmuhU6NjY2rVq1SKBRBQUFs1wI2w7AMAACFEO4AABTiPXGRaxgeg8Hg5eUVGhrKdiHUMhqNY8eOnTlzJmUjwiOHyWRydXWNjIwUi8Vs1wI2w5g7AACFMCwDAEAhhDsAAIVGynPulLl169bWrVvb29tDQ0PfeecdNzc3tiuik0KhiI6O9vf3Z7sQCl25cmXv3r137tyZOHHismXLgoOD2a4IbIMrd/tjGKagoCAhIeHLL7/k8/llZWVsV0Shzs7Ob7/99vDhwzqdju1aKNTZ2fnZZ5+lpKSUlpZGRUXl5+fr9Xq2iwLbINzt7+rVq4SQ2NhYV1fXtLS0EydO4K613R0+fFilUnG5+AF2iOvXrwcEBERHR7u4uCxcuFCn07W3t7NdFNgGwzL2d+/ePV9fX3N7woQJer3+wYMH7u7u7FZFmcWLFxNCVqxYwXYhdAoPD58xY4a53d7ezuFwvL292S0JbIVwt7+urq7+L8S7urrev38f4Q6jiEgkEolEhJDm5uZNmzYtXboULxOMOgh3+5NIJL29vZaPvb29EomExXoAhqGnp2fXrl3ff/99dnb2888/z3Y5YDOEu/15eXn99NNP5nZHR4dAIPD09GS3JACbGI3GvLw8b2/vLVu2CAQCtsuB4cD9KPuTSqV9fX3nz59nGObIkSMxMTEcDoftogBscO7cue7u7mXLlhmNRq1Wq9Vq8VDAqIMrd/vjcDhr1qzZvHnz1q1bp06dmp2dzXZFALa5efNmW1tbamqqpWfLli2TJk1isSSwFeaWAQCgEIZlAAAohHAHAKAQwh0AgEIIdwAACiHcAQAohHAHh4uLi1uwYMEjncuXL7fMXsLhcJRKpdPrAqAZwh3Yt3TpUlbmpWptbcVkh0ArvMQE7Nu1axcr+5XL5ZMnT964cSMrewdwKFy5A816enrYLgGAHQh3YJ9AIFAqlc3NzRwO5+jRo35+fmKxOCIioqqqihAyWL/RaORwOKdOnbJ8Hy8vL4VCQQgZM2bMqVOn0tPTQ0JCCCF3797NzMz08fERi8UymayyspIQEhkZWVtbW1JS4ufnRwjRarW5ubmBgYESiWT27Nlnzpxh5VQA2AvCHZzhyJEjnD/bvn37gFtmZGS899571dXVERERCxYsOHny5ND9g8nNzY2KiqqtrSWEJCcnNzU1FRcXV1VVSaXStLQ0jUajUqkSEhJWrFhx7do1Qkh6enpNTY1cLj969OicOXMSExMvXrxo13MA4FQYcwdnmDVr1qefftq/p6SkRK1WP77l2rVr5XI5IWTevHltbW0FBQVFRUUD9r/44otD7DE8PNy8PSHkjTfeiIuLM09K7u/vr1Ao1Gp1eHg4n88XCoVubm7Xrl2rrKxsaWkxr7U9Z86cH374Yd26dRUVFXY5fADnQ7iDM4wfP37evHn9e8rLywcM9/nz51vaiYmJ+fn5Q/cPJiIiwtJetWpVXV1dTU1Na2trY2Pj4xubl70NCAgY7DsAjDoIdxi5uFyuwWCwvl+v11vaY8aMMTe0Wm1MTEx3d3daWtorr7yycuXK0NDQR/6hh4eHQCDQaDT9V9zG6tswqiHcYWSpr68PDg42t48dO2Z50Wmwfo1GY26o1WpLu7+GhoZz586p1WrzquWtra2PbyOVSk0m03fffRcTE0MIMRqNycnJ8fHxy5cvt+OhATgTwh1GlrVr1/J4vGnTppWXl9fU1FjeXH28n8fj+fn5FRYWPvPMM3w+PycnZ8AVr8aPH08I2bdvX2pqaktLS15eHiHkxo0bMpmMx+O1tLTcvn3b19d30aJFKSkpGzZs8PHx2bNnz/HjxwsKCpx43AD2xgA4WGxsbFJS0iOdWVlZUqnU3Obz+ceOHWtqaiKE1NXVzZo1SyKRyGSyiooKhmEG62cYprGxUSaTmRf5XLRoUVhYWFlZGcMwEomkvLzcsq/Nmzf7+Pi4u7vHxsZeunQpMzNTIpHcvHmzoqLiueeemz59OsMwfX19ubm5AQEB5kchVSqVE84MgONgJSYYKZqbm2UyWUdHx7PPPmtNv4XBYOjq6ho3bpxTygQYHXDLCEY9Pp+PZAd4BMIdRhA+f+CbQIP1A8BgMCwDAEAhXLkDAFAI4Q4AQCGEOwAAhRDuAAAUQrgDAFAI4Q4AQCGEOwAAhRDuAAAU+i8eUj3fIFop4gAAAABJRU5ErkJggg==)
lmpEffectPlot(resASCA, effectName = "Hippurate+Time+Hippurate:Time",
axes = c(2), x = "Time", z = "Hippurate")
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAAFeCAIAAAD8M3pVAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAgAElEQVR4nOzdd1gUV9cA8DO7s0sHKdJFimIBBAEVxIIIAhYUELHEGEuMoq8aDbEktqjR2BONmmiIMXZBxI7YsHekKUhXwQoIgpQt8/0xfpt1YZcBdlmE83vy5Jm9M3PnTNnDePfOHYKiKEAIIdSysJQdAEIIIfnD5I4QQi0QJneEEGqBMLkjhFALhMkdIYRaIEzuCCHUAmFyRwihFqgZJfdVq1YRBHH79u2as0xMTHr06EFP9+jRw8fHp2lDa1ITJ04kpOvYsSMo7yC0znPUnM8IqmnWrFlt2rQJDg5usi0q6+xL21P6iiWbPqBG0tTU1NDQUHYUks6ePXvo0KEtW7Zoamo2sqphw4aZm5vT08+fP9+9e3f//v379u1Ll+jp6UFzPQgizTO8Bp+jFnBGWo/Lly9v2bIlODh4xowZituKxLWklLMvY08/XrFUs7Fy5UoAuHXrVs1ZxsbGrq6uTR8Sc+vXrweAt2/fyrfaW7duAcDKlSvlW22D4TlqbmcESfjrr78AID09XaFbUdD3vV7q3NNm1CzTGHw+n5I+joLsuXX68OFDg9dtSnw+XyAQKDsKqVrhOWrmZ6Sm5nkY64W+ilRUVOq1llAo5PP5iolIUVusc08/v+Tu7u5ON28JBAKCIP7888///e9/6urq6urqvXv33rNnD72Y7LkA0L1792HDhonXPGzYMAcHB3p6wIABISEhKSkpLi4u9vb2dOHp06c9PT2NjIy0tbW7d+++c+dO0cLfffcdABgYGIwfP54uzM3NHTNmjJWVlY6OTr9+/U6dOqWIgwAA/v7+I0aMWLlypY6OjoqKiqura0xMDI/Hmzt3bseOHXV0dIYMGfLs2TPRugoNTCK8z/occTgcExOT+u4yKPKMvH//fuHChR07dlRXV7exsQkPDy8vLxfNvXXrlp+fn4GBga2t7eTJkwsLC0WzHjx4MGTIEBMTE1NT0yFDhjx48EA0q9bDKCMk2TFIkHY65FiPuJCQkClTpgCApaWlv78/1HUJ+fv7BwYGHjp0yMTEhD7dU6dOLS0tlX1Ia15L4mdf9tGuc4sSpFVVc09r0TT/gmCC4T/53dzcvL29KYqi/+6ZmZmpqqpOnTr1xx9/tLOzA4DVq1fXOZeiKCcnp6FDh4pvZejQofb29vS0p6enl5eXhYXFl19+uXPnToqidu/eDQA9e/b8+eefV61a1bNnTwA4dOgQRVEPHz6cPn06AMTExDx+/JiiqKSkJB0dHXNz8wULFixfvtzR0ZEgiD/++ENiv65du+bh4SHjmEhrBBAdBIqi/Pz8tLS0dHV1V65c+dtvv5mZmXG5XFdX1/79++/YsWPq1KkAEBAQQC/cyMBa1TkyMzNzcHBoJmeEFhAQQJLkyJEjV6xYMXToUACYNGkSPevkyZMcDsfOzm7p0qXz5s3T1ta2tLQsKiqiKOr8+fNcLtfCwmLBggULFiywsLDgcrlxcXHSDqPskGTEIEHG6ZBjPeJSU1PDw8MB4ODBg0lJSVRdl5Cfn5+VlZWqquqMGTN27twZEhICAJMnT5Z9SGteS+JnX/bRlr1FCTKqqrmnNTW75C6NtMQBABcuXKBnffjwwd3dXVNT8/Xr17LnUgwSBwD8+eeformDBg3S0dGhvy0URVVVVWlra3/99df0R4k2OC8vr/bt2xcXF9MfeTyep6enhoZGaWmp+BZPnjxJkqSMY8IwldA9WOiP27ZtAwAXFxeBQECXdOrUydDQUC6BtcJzJEFZZ4SiqHfv3hEEMWfOHFGJn58f/eeHx+PZ2to6ODiUlZXRs/755x8A2Lx5s1Ao7Natm6mp6Zs3b+hZb968MTExcXR0FAqFtR5GGSHJiKEmGadDXvXUtGvXLgDIzc2lP9aZ3AGA/pNGc3V1tbCwkH1IqRrXkujs13m0ZWxRQp1VSexpTc2uWearr776sQYZv0T369fPy8uLnlZTU1u8eHFZWdm5c+eYzJVNQ0Nj0qRJoo9RUVH5+fm6urr0x6KiIj6fX1FRUXPFd+/eXbx48euvv27Tpg1dQpLkN998U15eTqcGubO2tqZvZwCgX79+ABAaGspifTy5AwYMoNtS5RUYnqM6KeKMkCTJYrEuXLjw/PlzuuTMmTNJSUkAkJCQ8OTJk1mzZonOwtixY3///XcnJ6ecnJykpKSwsDADAwN6loGBwbRp0xITE/Py8ugS8cMoOyQZMdQk43TIq57G09TUnDhxouhjt27d6FMj45DKqI3J0Za2xQZUJVuz6wo5bdq0Xr16SRTSf6Nq1a1bN/GP3bt3B4CsrCwmc2WzsLBgs9mij5qamnfv3j1x4kR6enpWVlZqamplZWWtK6alpQEAnfIkZr19+5bJputLS0tLNE2SJPx//zzxEjkGhueoToo4IxoaGuvXr58/f76FhYWjo2Pfvn0DAgIGDhxIEERGRgYAiFrM6U2EhYUBAP1nUnwWANCNzllZWZaWlvDpYZQdkowYah4EGadDXvU0Xvv27cUvIdEfYBmHVIbMzEyo62hL22IDqpKt2SX3RqK/NtXV1Q2YK9GxQeJWdOXKlUuWLHF2dvby8ho0aJCzs3NgYGCt9dC/X//444/e3t4Sszp16vTq1StjY2PxQtEF7ebmdvPmTSl7JgfNJLDmf44Y7YY81DeMOXPmjBo1KiYm5vz58/v27duyZcvAgQPPnDlDHy7R34yaJJImnVBEzWLih7HOkKTFwOFwJJaXfTrkVU99SVxCNTdHq/OQyiD7aEvbYgOqku2zT+7JycniHx8+fAgAtra2TOZSn/a9y8vLk/ZX9P379z/99NPUqVN37NghKpTWy83GxgYASJLs37+/qPDRo0cJCQmurq4kSZ48eZIuvHPnzsqVK48fP05/FP1DWEGUFdhnd44Y7ZU81CuMwsLC3NxcW1vb6dOnT58+vaqqasGCBZs3bz59+jT9lGxaWpr4WnPmzOnUqZOvry8ApKSkBAQEiGalpKSA2EFmHpKMGIYPHy5ej+zTIa96mGB+CYmTcUjpX1Nr1aFDB6jP0Zah8VU1uzb3+oqPj4+Pj6enq6qqVqxYoaqqOnDgwDrnqqmppaWlia6S+Pj4R48eSdtKXl4ej8czNDQUlVy7di0/P19iMaFQCADa2to+Pj47duzIzs6myz98+DBs2LCFCxeqq6urqKgM+X89e/ZksViijx4eHo0/IDIoK7DP7hw1ZmfrpV5hJCcnu7q60j/rAYCKigrdmk+SpLOzs5mZ2ebNm6uqqui5169f//XXX8vKyiwtLe3t7bdt21ZUVETPKiws3L59u729ffv27esbkowYJOqRfTrkVU+d6nUJiZNxSEXL0NeSuPoebRkaX9Vnf+duZmbm7+8/adKktm3bRkdHJyYm/vTTT2ZmZvTplDYXALy8vFatWhUYGBgUFJSVlbVp0yYZPwl26tTJ0tJyy5Yt1dXVtra2d+7ciYqKMjIyunnz5oULFwYOHKitrQ0Amzdv9vf379Onz9q1a/v16+fh4TFmzBhVVdWoqKicnJyDBw/W2qTYlJQS2Gd6jiwtLfX09MQ7KSsC8zPSq1cvW1vbefPmJScn29raJiUlxcTEdOrUqX///mpqauvXrx83bpybm9vIkSPLy8t37NhhYWExdepUFou1cePGIUOGuLi4jB8/nqKovXv3vnnz5p9//pF2AysjJBkxSFQi+3T07t1bLvWIbhGkqdclJE7GIQUAiWtJtFYDjrY0cqhKWjeaptewPtQ//vhjRESEs7OzlpZWz549IyIi6MVkz6UoqrKy8ttvvzUzM6O/RePGjZs9e7Z4NzuJh+kfPXrk5+eno6PTrl27MWPGPHv2bM+ePYaGhr6+vhRFFRUVeXp6qqurz5gxg14+IyMjKCjI3NxcR0enb9++Z86cqblf8uoK6eTkJJpF/yC2a9cuUcnMmTM1NTVFHxsTWKs6RyRJGhsbS+ymss4ILTs7e9y4cebm5ioqKtbW1tOnT8/PzxfNvXDhwoABA9q0aWNmZjZ27Ni8vDzRrLt37/r5+RkZGRkZGfn7+z948EA0q+ZhlB2S7BjEyT4d8qpHgkQHQdmXkMSZoihqypQpBgYGdR5SiWtJ/OzLPtp1blGCjKrq7ArZjJJ7fYlSQwPmiisrKxP1JEXyhecINROt8BL67JtlGk9DQwPH82vm8ByhRmqFl9Bn/4MqQgihmtjLli1TdgwNV1RU1L9/f2kdg2TPRU0DzxFCSkFQjRhnFSGEUPOEzTIIIdQCYXJHCKEWCJM7Qgi1QJjcEUKoBcLkjhBCLRAmd4QQaoGayxOqa9asefr0qbKjaL74fD6Lxarv2EPoc0FRlEAgYLPZSh9artkSCoXio/6iOjWX5P706dOtW7di8pKGfgmOmpqasgNBCsHj8UpKSnR0dOr1JodWRcYo6qhWmEwRQqgFwuSOEEItECZ3hBBqgTC5I4RQC4TJHSGEWiBM7ggh1AJhckcIoRaoufRzRzJUzZ+lRU/98ptyI0EIfS7qTu43b948e/bs9evXCwoKKioqjI2N7ezsvL29hw0b1treSagUVfNnSUyrYIpHCNVFVnI/dOjQ6tWr375927dvXx8fH0NDQxUVlcLCwszMzI0bN4aFhU2ZMuWHH37Q0dFpsnBbG/HMjhBCzElN7n5+fh8+fFi6dOnw4cNrHRXgyZMnmzdvdnFxOXz4sLOzsyKDRAghVD9Sk/uqVatcXFxkrGlra7tt27aioqLS0lIFBIYQQqjhpPaWkZ3ZRfT09CwtLeUWDvoUNq8jhBpG6p17eHh4nSuvW7dOXnFQFEWPaiuvClsM9qqNgh/m/v8HNuHSi8/nKzUiJH8CgYD+Pw75Kw1FUcoO4TMjNbmnpKSIpimKunz5slAotLe3V1NTS0pKUlFRGT16tBzjoCiqqqoKk3vtlqyuqKjgcDjcqxdZ1y5Xd+xM2XRUdkxInoRCIQDweDw6y6Oa6EOEmJOa3M+cOSOa3rRp06tXr06cOGFubg4AhYWFw4YNk29rDIvF0tDQwOQuTUVFBZfLVfMbVp2RRp4+xv12IaioKDsoJDc8Hq+qqkpVVRXHc5eGzWYrO4TPDKNkun379uXLl9OZHQD09fWXLFny559/KjIwVBuS5ISOp0pL+GeOKzsUhFCzxii5FxYWSvxrsaqqqri4WDEhIVkIU3N2Xy/BrWvCjDRlx4IQar4YJff+/fsvXbo0Pz+f/pifn79kyZJ+/fopMjAkFenjTxga86MOQlWVsmNBCDVTjJL7li1bysvLbWxsevXq1bNnzw4dOpSXl//2G/bSUxKSJEeOpUre8c+eUHYoCKFmitHAYWZmZo8ePTp06FBycjJJkrNnzw4JCeFyuYoODknDsmjP7usluHKB5eDEsu6g7HAQQs0O094pKSkpMTExly9fXrJkSWlpaU5OjkLDQnUiBw0mDI35R/ZBNTbOIIQkMUru169f9/Lyoijq3r17QqEwNjbW2dn52rVrig4OyUI3zrwr5seeUnYoCKFmh1Fy//7772fMmHH06FH6Y2Rk5IgRIxYtWqTIwFDdWBbt2X08BdfjhTmZyo4FIdS8MEruDx8+HDx4sOgjSZKTJk1KSEhQWFSIKdJ3KGFoxD+MjTMIoU8wSu4mJiaJiYniJc+ePTMxMVFMSKg+RI0z504rOxSEUDPCKLkHBQVt27aN/hFVKBRevnw5PDw8JCREwbEhRlgWlmyP/oJrl4U5WcqOBSHUXDBK7suXL+/cubO1tTUA6Ovre3t7Dx8+fNmyZYoNDTFG+g4l9NvyIw8Aj6fsWBBCzQKjfu5qampRUVGpqakpKSk6Ojr29vaicWZQs8DhkKPG8Xb8yj93ihwyQtnRIISUj1FyB4DY2Ni0tDQAePnyZXp6Ol04e/ZsRcWF6onV3ordu5/g6iWWXTeWpbWyw0EIKRmj5P7jjz+uWrXK0NBQT09PvByTe7NC+g0VpqXyI/dzZ88HHDkWodaNUZv7zp07w8PDCwoKHn9K0cGh+uFwyVFfUG/f8OOw5wxCrV3dyZ3P579+/XrMmDE4WH7zx2pvxe7dV3DlojA3W9mxIISUqe7kTpKknZ1dfHx8E0SDGo/0DyD0DPiR+7HnDEKtGaM297lz53733XcZGRm9evVSEXu7W2hoqMICQw3F4ZIjR/P+3Mo/f4b0D1B2NAgh5WCU3OfNmwcA+/fv379/v3g5JvfmiWXdke3WR3DlItvekWjXXtnhIISUgFFyxzfqfXbIwcOFTx7zDu3lzvkeSOw5g1CrIzW5x8bGmpub29nZ0dO1LuPr66uouFAjcblk8Bjezq38C7Gk71BlR4MQampSk7ufn9+UKVN27twJAEOH1p4deAx+sktOTv7777/z8/PNzMymTp3auXPnBseK6oVl05Hdy0Nw+TzbrhthbqHscBBCTUpqbxmKoujMDgC8GiorK+kHVmUrLi5esWJFSEjIP//806tXr59//pnJ3wMkL+SQEYSuHu/Qv8DHw45Q68L0NXuFhYX3xRw4cMDJyanOtR4/fmxjY+Pu7q6qqjpy5MiqqqqCgoLGBYzqg8slg0dTb17zL55TdigIoSbF6AfVqKio0aNH8/l88cLx48fXuaKLi4uDgwM9XVBQQBCE+Ihj0dHRcXFx9PT79+9LSkpYLKZ/bFqhysrK6urqeq9mYMRxcoVLcRUWVkITMwXEheSAoigAKCsrw6+ANBL5B9WJ6ZC/oaGhWVlZtra2CQkJ2dnZLi4udP9I2VRUVLS0tAAgMTFx6dKlU6ZMwcdcmx7f25/S1uGcPAr49UCo1WB0556Zmblx40Zra2sPD4/s7OygoKClS5eGh4efO1f3P/Y/fPiwc+fOR48ezZ4929HRUXxWYGBgYGAgPR0WFqajo4O3LdK8fftWVVVVTU2tYasLR43j7fxd48Ft0mdw3UujJsfj8UpKSjQ1NTk44psUJMl0CFtEY5RM9fT06K7uVlZW9HhhNjY2d+7cqXNFgUCwbNkygiC2bt0qkdlRU2LZ2LJ7uAkunqPynyk7FoRQU2CU3D09PVesWJGYmOjo6Hjw4MG8vLzDhw+3adOmzhVv375dXl4+depUgUBQWVlZWVlJty2ipkcOCSS0dXhH9oFAoOxYEEIKxyi5r1u3TlNTMy4ubvDgwerq6paWlsuXLw8PD69zxczMzGfPno0S8+wZ3jkqiaoqOXIs9fIF9pxBqDVg1IxlYmJy48YNejo+Pv7q1auGhoZMmlm+/PLLL7/8slEBtm6T/hJNGoimIiY3sDZWx05s116Ci7HsrvaEWbtGxoYQas6kJveYmBgZq+Xm5ubm5g4fPlwBISEFIocGCjPSeUf2c//3HWDPJYRaLqnJffTo0XWuXFFRIddgkOKpqpEjx/D+2i64FMf29lN2NAghRZGa3DFxt1Ssjp3ZLj35F86yuthh4wxCLRXTfuUXL1709fU1NTU1NDQcOHAgkx7uqNkihwURWtq8yP3YcwahlopRco+JifH29iZJctGiRcuWLdPQ0PD19Y2OjlZ0cEhRVNXIoFCqIF8Qf0HZoSCEFIJRb5nly5d/880327dvpz+GhYXNnDlzxYoVoudLUVMSCqHxT/KyOtuxnXvyz59hdbUnjE3lERdCqBlhlCTS0tJCQkLES0JCQjIzMxUTEvpPxOSP/60d/vb3sRUzvYEAiLwnn8rJ4cGEphbv0F5snEGo5WGU3A0NDR89eiRekpqa2q1bN8WEhKRybg+DHcGk7keDmVFVIwNHUQXPBVcuyqlGhFBzwahZZtu2bePHj6coysfHBwDi4uKWLVu2b9++V69e0QsYGRkpMEYkJthVnrWxutizu/fgnz/D6mJPGJvIs2qEkFIxSu5DhgwBgFmzZokX+vv7f6yCJPH9Sk3vRiY4twfVRo8hSA4fKcx+wju8lztjLj7WhFCLwSi5P3z4UNFxoHp5WQJ/X4XEpzDNC4hG1qWmRgaG8nb/Kbh6ie3pLZfwEEJKxyi529vb13zJRkVFRYOHF0eNZKwDob1g/02wSgY/h8bWxupiz3Jy5cedZnWxI4ywcQahloDRD6p9+vSR6Btz8+ZNJu9QRfLSNmGYRIl3V/DoCJF3ITVfDvWTw4MJVTV+5H4QCuVQHUJI2Rgl906dOjk5Of3xxx8AUFlZ+f333/fr12/AgAEKjg19RMS5A4D6NS+J8vEeYK4HO+OhuLzRm1DXIINHC5/mCa5eamxdCKFmgFGzzO7du0eNGjV16tTo6Oi8vDwejxcXF+fp6ang2JAkIs6d8rkp+shlQ5gXHLwNbHm8nZDV1YHl6Mw/d4rV2Y4wMpZDjQgh5WGaFby9vUeOHBkXF5eWljZ//nzM7E2Gvm2XxlAbZvmAtpx++yCHh2DjDEItA6Pkfu/ePRcXlzNnzly/fj0yMnLhwoUBAQEvXrxQdHCoJmm5vrAMkhr9kitCg26cyRVcu9zYuhBCSsUouffu3XvAgAEJCQlubm7BwcEpKSkCgcDOzk7RwSHZt+3iIu/CtovwrKixW2R1dWB1686PPUm9etnYuhBCysMouZ89e/a3335TV1enPxobG586dWr16tWKDAxJzey1ln/RG7TVYEsclFU1drvkiFGEqho/6gA2ziD0+WL0g6qXl9f9+/d//vnnp0+fXrlyZffu3V5eXt98842ig2vlxH87ffv2rYaGhoALmuza29c1VGDmQPj5BPx1BWZ5A9GIR5sIDQ0yIJi3f7fgxhV2H8+GV4QQUh5Gd+7Xr1/38vKiKOrevXtCoTA2NtbZ2fnatWuKDg5JoDP7O37Z0deXa8610Icv+0DiUzjZ6AeKWY7OLAcn/tmT1Ns3ja0LIaQMjO7cv//++xkzZvz8888EQQBAZGTkhAkTFi1adOXKFXnFIRQKy8vLWY0fp7zlqq6uFgqFALAyL2JTwaG/Oi4MMZB81MDRBPp35GpxheXl/MZuz3cYmZ1ZdeAfwcRpjfqHAGKAPrOVlZXV1dXKjqWZEuDA1PXEdGyZX3755b91SHLSpEkjRoyQYxwEQaioqGByl6aiooIkSRUVFQD4qcPXiRWZ0zPXeRm4mqoYSCw5rjcAsAEaPQSYigo1ZITw8F5uwl3CvW9ja0My8fn8qqoqDodDkoy+kq0QJof6YnQlmZiYJCYm9unTR1Ty7NkzExN5DkJCEARJknj+ZGCxWPQ3nwTymNMvN94lW2jIetToRib0sAJOY5K8S0/e4xRh7CluV3tCv20jKkJ1oCgKANhsNiZ3aQj852M9MUqmQUFB27Zty8nJAQChUHj58uXw8HCJdzOhpqTBVvPR70lPF/JKai7wtBAirsDeG43dEBk4iuBy+Yf3AUU1ti6EUBNilNyXL1/euXNna2trANDX1/f29h4+fPiyZcsUGxpiYOuzSLsbY598eCpRbqEPI5zh6hOIT29U/YSGJntYkDA3W3DzaqMqQgg1LUbJXU1NLSoqKiUl5eDBg8ePH8/Nzd21axeH0+j3RKBGG2zgziJYg+7PLqh6KzFriBO4WMK+m5DTuA4v7O6uLHtH/unjVCH2nEHos1GPNm47O7vQ0FA/Pz9zc3PFBYTqxVrN7JzzrwP1XfU5OhKzCIDJ/aCtFvx+Ad5XNmor5IgQ4JD8yIPYOIPQ5wJ/wPzs2Wta/9X1BxVWLf+QUuXAdC+wNGhsV0ZCS5scFizMzhDcwocbEPo8YHJvORLfZ4xOXlwp/KSjtLkuzPQGTZXGVs527sGy68Y/HUMVSrb/IISaIUzuLUdWRX7kq4uhST/yqVoe93jzHh4VNKp+MnAUsEl+1AFsnEGo+WPaqTY2NjYtLU2icPbs2fKOBzVckKHnH10WLMrcnlvxooO65O8i+2/Bk5ewZDgYaTewfkJLmxwayD+yT3D7OtutT90rIISUh1Fy//HHH1etWmVoaKinpydejsm9uZlsNmyk0QAdUrPmrK/6wPJj8FscLA4A1YZ2dGK79hKmJvFPHWPZdiH09BsVK0JIkRg1y+zcuTM8PLygoODxpxQdHGoAOrNXC3mRry5+Uq4GYV7wphT+adxvoh8bZyKxcQahZq3u5M7n81+/fj1mzBg2u9HDlaCm8md+TEjSD1ueHREv7GAEI3vA7WyIS214zYS2DjlkhDDrieDuzbqXRggpSd3JnSRJOzu7+Pj4JogGyUuYedBoY5856ZsT32eIlw+yh7620Ea9UZWze7ixOnXlnzpGvStuVEUIIYVh1OY+d+7c7777LiMjo1evXvTAhLTQ0FCFBYYahUWw/rFbHGLk5ajVUWLWRHmM8EiOHFO9cTX/yD7OlBk4IDBCzRCj5D5v3jwA2L9///79+8XLMbk3Z1wWJ8jQk55+xy9r8+mvrBTAzUzoZQ3sBvWGJbR1yMHD+VEHBPdusXswfdErQqjJMPpmF0uh6OCQXES/jre+FnSv9JMfwDNfwV/xcPhOw6tl93RnderCPxmNjTMINUNMb9sKCgoWLlwYEBAwePDg+fPnFxQ07nkY1IR6t3Ew4LQZnDA3vfy/wSM7GoF/N4hLhRuZDa+ZDB4LBMGP3I89ZxBqbhgl9+TkZFtb28OHDxsYGJiamh49erRTp04pKSmKDg7JhRFX75zzr/11nQ25uuLlwa5gZwb/Xof8ht55Ezo6pP9wYUa64P5tOQSKUJPw8fEJDAyUKJw+fbqDgwM9TRBEbGxsk8clZ4yS+9y5c319fdPT0yMiInbt2pWWlubn50c3xKPPgqWayZFuq3Q5WuKFBAHfDAAtVdh6Hioa+uZOdk93lm0X/glsnEEtx5QpU5Qy9m1OTo4cG0UYJff79+/PmDFD9AIwNps9c+bMu3fvyisI1GSeVb4anby4hF9Gf9RUgWleYK4HDW9VIQgyKBQoIT/6kJxiREjJdu7caWdn1/TbnTVr1rp16+RVG6PkrqWlVVRUJF5SVFSkrd3QMUqQ8mRXFMS8vjLsYfgHwcch3qjuTQEAACAASURBVK3bwoyBoM5teJ2Erh45eLgw7ZHgfiN+n0WoFfjw4UOTbYtRch88ePCCBQvu379Pf0xISJg/f76/v78iA0MK0V+3+8FuKxLfZySXZUnMelkCGa8aWC27lwfLtjP/eBRV8q6xISKkbBwOJzY2NjExkSCIM2fOWFlZaWhouLq6xsTEAIC0coFAQBCE+POeJiYm+/btAwAtLa34+Phx48Z169YNAF68eDF+/Ph27dppaGg4OTkdPXoUAHr06HHy5MnNmzdbWVkBQGVl5YIFC2xtbTU1Nfv06XPjRr1fiMwoua9bt87GxsbV1bVNmzZt2rRxdna2sLBYu3Yt883s27cvOzu7vsEhRRjetl9On6O9dCT/1fnPNdh6HorKG1QpQZBBo4ES8o9i4wz6DBw7doz41I4dO2pd8osvvvj222+PHz/u6uoaGBh46dIl2eXSLFiwoFevXidPngSA4ODghw8fbtiwISYmxt7ePjQ0tLCw8MqVK35+fmFhYampqQAwbty4EydOzJo168yZM3379vX393/w4EG99pHRQ0yampqxsbH37t1LSUmhKMrOzq5nz54MN1BcXJyQkBAdHe3s7FyvyJDi6HG0AYACKvp1vOhBpyn9YXkM/BYHi4YBt/7DCBG6eqR/AP/YEcGDu2znHnKNFyE56927908//SResnnz5tzc3JpLLl26dNasWQAwcODAZ8+erVmzhr6vrVner18/GVt0cXGhlweAoKAgHx8fR0dHALC2tt63b19ubq6LiwtJklwuV11dPTU19ejRo1lZWdbW1gDQt2/f9PT0VatWRUVFMd9Hqck9NjbW3Nyc/lVB1CvIxMQEAIqLi+kSX1/fOjcQHR399OlTFgvfCtLsHHt9JThx4Y/WE1fYTAUAfU34xhM2xcLBW/ClR0MqZLv1EaYm849HsmxsCR3Jd7oi1HwYGhoOHDhQvCQyMrLW5D5o0CDRtL+//88//yy7XBpXV1fR9Jw5c06fPn3ixImcnJxr12oZppXuaG5jYyOtBiakJnc/P78pU6bs3LkTAIYOHVrrMjwer84NTJo0CQDCwsJqzqqqqqqqqqKnqf/HJOjWSe7HZ0TbfjPbjVyZ/be7tr2/gTsAdDWFoY5w/CFhaUD1tW1IneygUOGmNfzoQ+SEr+UYaotHn1n8CjRzLBaLz+czLxfPkFpaHzsiV1ZWenp6lpeXh4aGDh48+H//+1/37t0lVtTR0eFwOIWFheK3xfW9RZaa3MUvMiZJvAH++OOPPXv20NMdO3aU2BMk4cOHD3L/qX2x/viuLIseRMfCwkK6xMMCnr7RAl5VYWEDu75z+3qpXDhTcvUyv6uD/CJtFUpLS5UdQvOloCxUp/Pnz3fu3JmePnv2rOhBJ2nloq9Sbm6uaFrc1atXb9++nZub2759ewDIycmpuYy9vb1QKLx//76npycACASC4OBgX1/f6dOnM4+cUZu7lZVVamqquvp/A8Xm5eUNHTo0OTmZ+ZZq8vLyEj0pcPLkSU1NTUzu0pSVlamoqHA4DX2FknQTtYbRE+/5H7RIdQCY6kkBcAEa2juyrydkpatdjKW62oOmVt3LIwCBQFBRUaGmpoZvTZBGWUdm6dKlbDa7a9eukZGRJ06cELVR1yxns9lWVla//PKLvr4+SZJz584lahsw1dDQEAB27949atSorKysZcuWAUBaWpqTkxObzc7KysrLy2vfvv1XX30VEhKyfv36du3aRURExMXFrVmzpl6Ry0ruBQUFdI/63Nzc8PBwLve/b3tWVlatf5Tqxd7e3t7enp4+f/68qqoqJndpysrKSJJUVVVVUP03S1KGJsw73G3VQL2P7XoUBTezwN2mIQP6UqHjqzetYZ86xsHGGWZ4PF5FRQWXy1XE3++WQVnJYe/evStXrkxKSurQoUNUVNSgQYMSExNrLQeAf//9d+bMmT4+Pjwe76uvvqq1rcbR0XHLli1r167duHFjz549d+3atXHjxmnTprm5uX355ZczZswYMmRISkrK9u3b27Ztu2LFilevXjk5OZ09e1b0DwWGZCX3qqqqzMyPw0plZ2eLnlAFADabvXXr1nptCTVndhpWVmqmIx5+f9H19x7aXQAgNR92xcPrUhhR/15OhJ4+6TuEf+KoMPEByxF7SaHmJS4urmbh9u3bRdN0ExCdxJ2dna9fv15z+VrLPTw8EhIS+Hx+aWmp+Bun379/L77YzJkzZ86cKfooap22sbEJCgqipzkczurVq1evXl2fPfuErORuZWV14sQJAOjRo8fRo0fV1NREswQCQa2/LKPPlDapcab7psmPVokGF7M3hwFd4EQCWOiDc/t6V8j26C9MSeQfO8Kx6Uhg4wxqTUiSFM/sSguDyUJ3794tLCx89OiRqOTx48fTp0+X+HMkw7Zt2xoSHWpCbbltjjt9Mq7FWDd4XgQRV8B8OBjWd7AJgiBHfVG9aQ0/6iA2zqDPlHhzBZPyZoVRM1ZUVJSxsbGrmPHjx9ccMxO1DCX8si9TfnpZXchmQZgXcEjYegGqa2k8rAOhp08OGix8lCxMSlBAmAgplqOjI4/HMzIyYlje3DBK7suXLw8NDc3KyrK1tU1ISMjOznZxccEhf1uqvMqXx99c9b0/p5j3XkcdpvYHEx0QNqj7NbuPJ8vKhn/sMFXG9B95CCG5YJTcMzMzv/rqK2traw8Pj+zsbCsrq6VLl4aHhys6OKQU3TQ7HHdal12Rf+VdAgB0MYXpXqDasE4cBEGOHENVV/NjIuUbJEJINkbJXU9Pj35jqpWV1ePHjwHAxsbmzh0c37XF6qfrlN3n6PC2n4yVUfAOct7UuyrCwJAcNESYlCBMfii3+BBCdWGU3D09PVesWJGYmOjo6Hjw4MG8vLzDhw+3adNG0cEhJWrL/Xh+T7+9IaCEFMCueNh6AUor6l0Vu+8AlqU1P/oQNs4g1GSYDvmrqakZFxc3ePBgdXV1S0vL5cuXY7NMa3C39PGQhHlhaesAqKmeUFkNOy6BUFjPWgiCHDmWqq7mH6/HmHYIocZg1KHHxMRENFR8fHz81atXDQ0N6fEqUcvWQ7vLTzZfL8na2UO7yxSzgMn94ffzEHkPRjEd8vkjoq0h6ePPP31c6ODEcnBSTLAIof/Ub8hfkZcvX758+ZLJkL/oc7fYepKFqvFoYx8AcG4Pg+whNhms2kIPq/rVw+43UPgohR99mGNlg481IaRoCh/yF7UAE0wH0xPlgoqQHmpv3jeo8wxBkCPHVG9eyz8RzRnzpXwjRAhJUOaQv+jzkvHhmee9sM2dvp3p7dWwGoi2RqSPH//MCaGDI8sem/UQUqC6f1D98OFDhw4d0tLSmiAa1JxZqBp31rD8ImXZucLbACCk4FYW1PfZJna/gUS79vxjR6AJXwOPUCtUd3JXV1fv1atXreOooVZFhcU55viLj17PtlxdAEjIgz8vw7n6DunPYnFCv6AqKrDnDEIKxai3zNSpUxcuXPjkyRMXFxfRy6IAIDg4WGGBoeZIi1Q/2X09Pe1iCR4d4chdMNcDO7N6VEK0NSIH+vJjT7LsHVn23RQSKEKtHqPkTv+gmpycvHv3bvFyTO6tVrWQNyd98yzncc+LTHfGw9LhoKtRj9XZnt6C1CT+scNc6w4g9oYvhJC8MHqI6X0N7969e/gQnyZvvV5UFx59fXnww/+N7FcsFMLvF4AvqM/6LBYndDxVUcE/eVRRISKkDA8fPuzVq5eent7o0aNLSkqUGAnTN1cVFhbeF3PgwAEnJ3wUpfVqr2oc67y5mFd6ufzCpH7QVrvew0YShkak1yDB/TvC1CTFxIhQvVXNnyX6rwGrC4XCkSNHTps2LS8vj8vlLl68WO4RMseoWSYqKmr06NES7wMcP368YkJCnwdHrY6Peh8wUTEAACeLhtTAHuAjeJTMjz7Mte4Aatg4g5RMIqFXzZ+l8stv9arhypUrADBx4kQAWLx4sYuLy6+//lrra7KbAKPkTo/n/tNPP/n7+x86dEhHRyckJATHc0d0ZgeA+OIENx371+84BAHmuozXZ7E4I8dWb1nHP3mMDBmroCARqklw9xaUl4mX8M8cr2Wxy+clSliduxLGptKqzcnJsbe3p6c7duxYVVVVWFhoYGDQ6HgbglFyz8zM3Lhxo2g896CgIHo893Pnzik6PtT85VW+HPRg9lD9Pp2zfhYIYclwUOcyXZcwMSW9fPlxp1ndnFiduioyTIT+I7h+mXpRUOdiNTM+qanJlp7c3759K96fUEtL682bN806ueN47kiG9qrGv3WaO/3x2oUdjr1LGLEzHmZ5A/N/ibK9BgkeJfMjD3DnLsTGGdQ0uHMW1Cys2c5e32YZXV1d8TdLv3//XleX+b9k5QzHc0dy8I35iD32S77rOvDLPpD4FE7UqyMVi8UJGUeVl/FPxSgqPoTqr76ZHQBsbGxED/NnZ2erqKgYGhrKOy6mcDx3JB9fmPjpcrR6dwAPW0FMAiQ/r8e6hIkpe8Agwd2bwvRHCgsQoTqIZ/MGZHYA6N+/f0VFxYkTJ4RC4YYNG8aNG8diMe2RKHeMmmVycnIUPZ67QCAoKSlR4oFo/iorK6urq5UdRR3e8N6th0U+bdZVV+qUlPDrXkHE1Y2bklh9ZF/117MoVVWFBdhM0eP0lZWV4VdAGoneegrSsJwuwmKxTpw4MWXKlGnTpnl4eERERMgrsAZglNw9PDw6d+48efLk8ePHGxkZ+fj4yD0ONputo6ODV7Y0b9++VVVVVVNTU3YgddCitLrpWG2tHOms/oOLzpB6rUuNHl+9Zb36tUtk8GgFhdds8Xi8kpISTU1NDqdhbyJv+UiSUbJSum7dujWT3yMZJdOEhIRhw4b99ttv5ubmgYGBJ06caJq/ouizwyJY/9ovHW7Y11hFXyiEO9n1WJcwMWN7+gju3hSmP1ZYgAi1FoySu5OT09q1a/Py8i5dumRqajp58uR27dotWFDLz80IcVmcaMdf/PTdbmbBjksQX5+xosmBvoSJGT9qP1TU/z3cCCEx9WgGIQiiT58+P/3004oVKwQCwS+//KK4sFAL4N6RUjPI+fcmlfmK8TpsNidkHFVWVusTJQgh5pgm9zdv3uzcuXPQoEHGxsZLliwJDQ0V/cSKUK3e8d6f111SSj7felHwvpLpWoSpGbv/QMGdG8In+H4YhBqOUXIfOHCgiYnJvHnzTExMTp48WVBQsGXLFnd3d0UHhz5rehztMz3WJJn88r5SuONSPUYWI739CSMT/tGDUFWlyAARaskY/QCtra194MCBoUOHNv/eGqhZsVYzO99nybN8MvU5CIXAYjNbjc3mhH5RvXUD/8xxckSIYkNEqIVilNyjo6MVHQdqqcxVDc1twN0GHpSmd1Rvp0UyGmCAMDVn9/MSXD7PsnNgdeys6CARanmwXzlqCqX8cp8Hs0bd3JpXzGO4CuntTxgZ86OwcQahhsDkjpqCNqnxR+eFWlnjfzr7rorhMxIkyRn1BVVawj97QrHBIdQSYXJHTWSksad3r3xWpcHuq0xXIczasfsOENy8KsxIV2RoCLVAUpO7iYlJamoqPa2rq1teXt5UIaEWa2oX15AexO1sOJvC9I2rpM9gwtCYf/QgVGPjDEL1IPUHVV1d3ZEjR/bu3ZvFYr17927GjBk1R73YuXOngsNDLc0ge8h+Kzh0h7hSfepnZwaDz5AkOXIsb/sm/tmTZECw4gNEqIWQeuceHR09aNCgDx8+lJWVAUBZbZowTtRyTPRgc3TyIwpObMw7wGR5lkV7dt8BghtXhNmZio4NoRZD6p17p06dfv31V3r67du3e/fuVW19A7EiRVDhwI4gsw+pxjqkJsNVyEFDhGmp/CP7uN8uAK6KQsNDrRwR50753FR2FHLA6AfVuLi4oqKihQsXBgQEDB48eP78+QUFdb9+ECFpWARrr/2yCSbD7ucyW4EkyZFjqXfF/NhTCg0MIQAg4hr7+P2SJUsSEhLkEkyDMUruycnJtra2hw8fNjAwMDU1PXr0aKdOnVJSUhQdHGrZrqTB7xdgxZ3bl4sf1Lkwy8KS7dFfcD1emIONM0hRGp/WX7x4sWfPnvXr13/48EEuITUYo+Q+d+5cX1/f9PT0iIiIXbt2paWl+fn5zZs3T9HBoZZtQBfoakZlpTp9eWfbvdK6x3An/YYSbQ35h/dBs38jFfrcNTjLb9iw4cCBA83hvUOMIrh///6MGTNEb0Jhs9kzZ868e/euIgNDLR9BwPQBhL4ax+PVig3ZR+tegeR8bJw5h40zqFEi8k/+kvvvL7n/FvPe0yXbnkVJJPQNefvpZeiPPIr/S+6/yWVZsmtev379mTNn2rVrp4iw64XR2DJaWlpFRUXiJUVFRdra2ooJCbUiGiowcyDr51PGdq8XUgBEXcuz2luxe/cTXLvMsuvGsrJpihBRS/Tr00NJZZkAEGToqcvRAoCfc/6RWOa7J1voifmW4wGAJ+QvyNhmyNV10Pw8LjxGyX3w4MELFiywsrJycXEBgISEhPnz5/v7+ys4NtQqWLWFcW5E3ltCKIScyufapIYhV1fG8qTfUGFaKj/yAHfOfMA3jqIGSXT/V6Ikv+pNrUuKes6os1U/r140jJpl1q1bZ2Nj4+rq2qZNmzZt2jg7O1tYWKxdu1bRwaFWwrMzTOgDFCHwT/jW78GcEr7MRyg4XHLUF1ThG37c6aYKELVwjf8dtRlidOeuqakZGxt77969lJQUiqLs7Ox69uyp6MhQa0MS7FVGK6ZnLfkiZdkJp/UylvzYOHPlIqurA8vSuskiRC3V53VLzhCj5E5zdXV1dXWt7ways7O3bdtWUFDQvXv3GTNmqKszGs4btULVArh5p/NXqhFjLF/UuTDpP0yY9ogfuZ87GxtnEKqFYvvrUBS1Zs0aPz+/v/76iyTJvXv3KnRz6LPGZcOU/lDyTjM1tSMACCihkBJKXZrDJUeNo96+4Z8/03QhIsTM48ePPTw8lBuDYpM7/aCTt7e3mppaaGjohQsXKIrxmzRR62NnBsO6Q3waXEmnxiQvnpm2QcbCLEtrtntfQfwFYW52k0WI0OeiHs0yDfDq1av27dvT06ampjwe7/3796I+lCkpKU+ePKGnS0tLk5KSxHv+t2/fXkXlk1FEcnJyeLxP3uPToUMH8VUoisrIyBBfgCRJa+tP2mSrq6tzc3PFS9TU1CQ6pZaVlUmMr6Cjo2NkZCReUlRU9PbtW/GStm3b6up+0s3j9evX7969Ey8xNTXV1PxkQJXnz59LPMlmaWnJ5XLFS3JycsrKykiSZLM/voRUYseFQmFm5ifPbXI4HCsrK/GSmjuurq5ubm4uXlJzx9u0aWNoaCheUlxc/ObNJ/0KDAwM9PT0xEtevXpVUlIiXlJzx589e1ZRUSFeQu/4oC6Q+5qz7ybbysE5Pit61cvtw/T/uwPq2LEjQfzXYVLo6Z2VkwMx0VR/L/oNrTV3vKqqKi8vT/aOv3///sWLT9qCau44kzP+8uXL0tJS8RIzMzMNDQ3xkqdPn1ZWVkrsOH1mq6urBQIBAGRlZdETIra2tuIfa55xLpdraWkpXtLcdlzaGRcvkbHjQqH0f8ah2jQkuZeWljLs5F5aWir+Tm01NbWSkhLRuhcvXtyzZw89bWJicvv2bfHvrbq6eps2bcRru3//vkQeNDQ0FD1aBQBCofDWrVviC6iqqkpcqaWlpRLLGBgYSFypBQUFEstYWlpKXKm5ubkSAzDY2dl16tRJvCQ9PT0nJ0e8xM3NzdTUVLwkOTlZIldqampKHN579+5JfCuMjIxEiR4ABAKBRMBqampt27YVL6m5423btpU4wjV33MrKSuJnkuzsbNFA/zR7e3uJr2haWppEWqm540lJSYWFheIloh0PdCBKK7SHag9sX/KWfEPcyvgvJGNjY/G/anw+/6a6DgDAnY+P1Kmrq0vs+Lt37yR2ytDQUGLH8/Pz79y5I15ibW1dc8cfPXokXuLg4CAxDnZ6errEjru7u5uYmEjsuMRTI1paWlpaWgAgOst3796t/vQpXBMTE/FvB4/Hk9gpDQ0NAwMD8ZLi4uI6d/z58+cSTyPa2NhI7HhWVtbjx588P+zo6Cix42lpaU+fPhUv8fDwkLgfSkxMlNhxHR0dia9VzR0XXTYSSR/ViahXO0liYmJoaGhGRoadnV1UVFTHjh1lL3/u3Lm7d+/+8MMP9MegoKC//vpLlEmrqqqq/v/1mOHh4Zs2bRL/3nK5XPGrGQCqq6slopW4tafrFP9IEIRE3qEoSuLqYbFYEleqUCiU+CcCm80W/ysCAAKBgM//5H1x4nfWND6fL3FFcjgcieeSeTyexC1JrTteWFiorq4uGpiz9ew4kzMuOH1ccP82Z/J0wtT8M91xPp9P3zPRgcnlUq+5U81wx5mf8bCwsO3btwNirH537hMmTAgJCQkPD1+6dOnUqVMvXboke3kTE5Pnz5/T0y9fvuRwOOI3DioqKqIzx2azVVVVZQ/IUPP6rqnOcYkJgqhzGTabLXHt1kSSpMR3oCYOh1PzDScSJL6QtVJRUeFyuSoqKjIib5E7ziZVUvLByQKiX8dTQAUZetZcRlVVFYaOqM5Mg+hD3NnfAym53c9ix+kcRxAEPSGXS53JTil9xyUw2XHEkNRkWlRUJPFnlsfjJSUlzZgxQ1tbe+rUqffv36+zdnt7++rq6jt37lAUdezYMU9PT4k/1AjJcC4VtpyHh0+p359Fjk1ecr5IynBGXC4ZPIZ685p/IbZpA0So+ZKa3G/fvt29e/fjx4+LSjgcjqOj49atW4uLi7dt29ajR486aycIYvHixYcOHZo4cWJJScnEiRPlEzVqHXztoYMh7Ion/rRea69pszRrJwW1tyKybDqye/YWXD5PPX9a6wIItTZSk7u/v//+/fsjIiJ69+4dHx9PF+7Zsyc6OlpfX//GjRt//PEHkw1YWlpu2LBh9+7d8+fPx3c5oXphsyDMCzgk7L6kdtxh80mnDYT0scXIoYFEG13eoX+Bz5O2DEKth6w2bjs7u2PHjm3YsGHp0qWDBw9++PChg4NDampqWVnZ/fv3O3To0GRRolZLRx2+8YSCEjh5R4ceve9N9bvcitoeYeVyyZFjqDev+RfjmjpKhJqfuh9icnd3v3z58qxZsyZPnjx27NjMzEwcQgA1pc4mMNIVNFVASAEABCct9L7/v5fVhTWXZNnYsnu4Cy6dw8YZhOpI7gcPHgwLC4uIiPD19b13715AQEBAQEBYWJjEgw8IKZSfA4x1BxYBALDZds5bXsmwhPBaBycgh4wgtHV4kfsBu0Wj1k1Wcl++fPmCBQv09PTWrVv37bffEgQxevTopKSkbt269e3bd9GiRU0WJUK0Jy+hA6fTcad1KzpMZRG1Xb2qqmTIOOrlC/7Fc00eHULNiKzkvn379oiIiJUrVx4+fPiPP/6gH2QgSXLatGlJSUn4JibUxCp4sOU87LgEfXSc/PTd6EJBjft3Vgdbtqub4GIslf+syWNEqLmQldxJkqQf7ausrGSz2eJPGKmrqy9YsEDh0SEkRo0DE/tC+guIvPexJPzJ1jHJi2vmd3JoIKGtwzuCjTOo9ZKV3MPDwydMmDB9+vTAwMB58+Y1h/d5o1bOuT0McoDYZLibAwBgrW565NXFyY9WSfZ/V1UlR46lXhYILmHPGdSkLl265Orqqq2t3aNHj5s3lfkOEFlPFc+ePbtr165Xr17dtm1bQEBAk8WEkAwhrpD7BiKugmkbmG4eVFhdklnxXEhR7E8ffmZ17MR26cW/cJbVxY4wU/6r6FEzN+mvWgojJtevkpcvXw4bNuzff//18fHZtGlTYGBgXl6essZUqONmnMvlZmZmbt68ecWKFeIjMt68eRNfkI2UgsWC6V5grgsCIQDAj9YT/7b7kV3bj6vksEDsOYOa0vXr111cXAIDAzU1NRcuXPjhwweJQcibkqzkfvz4cS8vr7y8PH19/fXr13t7e4sGonv9+vXZs2ebJEKEJGmrwQ/DwEL/40f6sdWbJSm7C059spyqGhkYShXkCy6fb/IYUbN29QmcTvrkv1qJzxII4XQSPC+WVa2/v390dDQ9nZGRQRCExDDgTUlWs8zy5cu//vrrHTt2AEBOTo67u/uyZctWr17dVLEhVIdqPqS/BAdzAIDfn0UefBmnwVYLMfISLcDq3JXt0pN/4SzLzoEwNpVaEWpl4lLheVHdi0XeBQAY3A0AQCCEyLugrQrmulKXV1dXp5/xvHDhwsSJEzdt2lTnYJmKIyu5p6enb9q0iZ62srL6+++/AwMDp06dKvGmG4SU5VQinEqC7/ygswn81fWHF1WFCzK2DW/bl8v67xtFBgQLM5/wDu3lzpwHdQ1vi1qJnwIlS+psc+eSjJrgS0tLZ8+efe3atYiICG9v70bE2FiymmUsLS3T0tJEH/39/X19fcPCwvA9qKiZGOIE7XRhxyUoLgcVFueY4y+XXH8Xz+wAAKpqZFAoVfBcEH9BSWGi1oLH4/n7+7NYrJSUFOVmdpCd3AMCAsLDw/fu3fvs2ceHQXbs2HHnzp2vvvpK4m2cCCkFlw0zvEEohN8vAF8AWqS6haoRAHwQVD758N/wMqzOduzuPfgXzlIvcdgMpEDHjx8vLi7+9ddf+Xx+eXl5eXm5El/9KqtZZsWKFS9fvpwwYUK3bt0SEhIAwMTE5NKlS4GBgaJ3nyKkXAaaMLkf/HYeDt6BL9w/Fn79aPXFovvXev5ho2ZGl5DDRwqzn/AO/YuNM6hW9e31WKt79+49fvyYfiMuLSUlxc7OTg5V15+sO3c2mx0REfHq1at9+/aJCrt165aRkXHhwoWtW7cqPjyE6uZoAUMdgcP+70Gm5TZfA8Cg+7M/CCo/FqnRPWeeC65eVE6UqBVYvXo19SllZXaonG6MKAAAGzRJREFU8x2qhYWFV69e1dXVpd+F/ffff8fHxxsZGU2ZMsXLy0v2ugg1mUCXTz52UDc/67wp4f0TdfZ/74dhdbFnObny486wutgTRiZNHSJCTUvWnXtCQkKXLl2CgoIGDBgQHBy8aNGi77//vqSk5OzZsy4uLrdv326yKBFiKO0FlFcBADhqdfzKdAhdKBocmBweTKip8yP3g/JaQhFqGrKS+/fff29nZ/f27duXL18WFBRs3br17t27J0+eTE1NHTVq1OLFi5ssSoSYeF8Jv56DXVdAvD/X788i/RK+rRLyAIBQ1yCDQoVP87BxBrV4spL73bt3Z86cqa+vb2RkNGnSJDs7O7pxhiCIiRMn3r9/v6mCRIgRLVUY7wGJT+HEw/8KTVXaXiy6F5r0I58SAACrqwPL0Zl/7jT16qXSAkVI8WQld1VVVeL/B2NycXEJCQkRzaqqqtLU1FRsaAjVX+8O0L8TxCRA8vOPJYGG/X/vHP5BWFkt/PjibHJECKGqho0zqGWT9YPqwIEDf/jhBysrq65du/bq1atXr150eXFx8Zo1a9zc3OQYB0VRfD4fRxWWQSgU0u9LQbKF9oC8Qvafl4kfhgoMNCkAmGw8dKLRYBbF+ngAuSrEiBDh3gjelYtEH0/lRksTCAT0/4lPx7ZEIvjsZH3JSu4bNmwICQlxdnZes2bN/Pnz6cJdu3aFhYVZWlru379fjnFQFFVVVYXJXQbM7MxNdCf+vqFa9qFai/PJvXlWZf6Fd/emGg8H646srg4Qd1pgaUO1NVRWnCL0oy48Hk+AA1hKocSngT5TspK7sbHx1atXs7KySPK/xezt7SMiIgICAuT7mj0Wi6WhoYHJXZqKigoul6umpqbsQD4PGhqwZAQASB6uf/PPrc/bp8JVCWsXTI0cy9v4M+f0Mc602aDsC4/H41VVVamqqipxnKlmjo2PntVT3de0jY1N+/btRR/d3Ny++OILfIEq+ixU8eBRwX8f13QMG2nk9WPWH4W8EkJDgxw+UpiXI7ger7wAEVKUBt6wLFq0yMQEHwNBzd3R+7D5HOS8+fiRTbD22S+73uNPfY4OALC6dWc5OPFjT1Fv38iqBaHPUAOTu42NTZ8+feQbCkJyF+gCbbXg9wvw/v+HIeCyOF00LAFAQAnTyvPIwFBCRYV/eC/2nEEtTAOT++TJk48cOSLfUBCSO1UOhHlBeRXsuATCT3tb/JC5w+3OlIfCfDIgWJiXI7hxRUkxIqQQdST39PR00ahh8fHxo0aNcnd3nzRp0uPHjxUfG0JyYKYLX/WFxwVw9NOn7mZbjDLg6Pg9mPO6S3uWgxP/7ElsnEEtiazkfu7cOScnp8OHDwPA8ePHBwwY8OLFi+7duycnJzs5Od25c6epgkSoUXpZg48dsD/tQW6iYnDO5dfv2o8z5uqTgaMILpd/eC9gZ2rUUtQxtkxwcHBkZCQALFu2bObMmVevXt22bdvdu3fHjRsn6vmOUPM3xk1y5EgAsFYzC7ccBwCEhiZrWKAwL0dw46oSgkNIAWQl9+zs7PHjx9MdbzMyMoKCgkSzJkyY8ODBA4VHh5C8PSqAqhpPgx17faU/f2eZQxf+meNUITbOoJZAVnJ3dXW9desWPW1nZ5eZmSmalZ6ebmFhodjQEJK34nLYHAu7a9yda5PqD0rTAzrc+6BC8CMPYuMMagFkJfdFixatXr16zpw5t2/fnj9//vLlyyMjI7Oysvbs2bNgwYKJEyc2WZQIyYWuBozsAbezIS71k3IvPde9DssqCUGl/2Bhdobg1jUlBYiQ3MgafsDb2zsmJmbp0qW//vorXUIPDGlsbLxo0aK5c+c2RYAIydUge3haCIfuQHt9sDX+rzzYcMCItv3ZBIv3OIt/OoZl24XQN1BemAg1Vh2v2fP19fX19c3Ly8vPz3/9+rW6urqRkVGXLl24XG7TxIeQ3I33gLxC2HYRlo4AXfX/ytkECwCKh/jurrz8bdQBztczAcdoRJ+tOvq5x8fHjx07duLEiRcuXBg0aNCgQYMcHR25XO7Nmzf9/f2bJkSE5EuFhBkDQV8TqmsbZ3Pf++vzLbN+oi4Lbl9v8tAQkhtZyf348eNeXl55eXn6+vrr16/39vauqqqiZ71+/frs2bNNEiFC8mesA4sDwKi24e++bT96unnQWutXaRcPUEWFTR4aQvIhK7kvX77866+/vn79+pEjRx4+fJidnb1s2bKmCgyhplDBg/Qar9vb2nneTYffOlRr8SMPYM8Z9JmSldzT09PHjh1LT1tZWf3999+bNm3KyclpksAQagoHb8HmWMgv/qSQRbCcjZ3JoSOEWU8e3zqupNAQahRZyd3S0jItLU300d/f39fXNywsDN93hVqMUT1BSxW2noeKaslZbFe3P11YzqVrLz3DAd/R50dWcg8ICAgPD9+7d++zZ8/okh07dty5c+err77Kzc1tiugQUjANFZjuBYXlsDMeat6zfOHzfacKtRGPFqeV5TZ9bAg1hqzkvmLFiuDg4AkTJgQEBNAlJiYmly5dunbt2pw5c5okPIQUzqotjHWDh0/hVKLkLF1d09Om3097amD1KF8ZoSHUcLL6ubPZ7IiIiLVr175+/VpU2K1bt4yMjMuXL+Oov6jF8Oz839uaJJj2HLQyJVt4Koay7Uq00W3auBBqOKl37rdv36YnDAwMunbt+sk6LJaXl9eMGTMA4M2bN/gTK2oBJvaFoY61zyKDxwBBXDvxm9udKa+ri2tfCKFmRmpyX7JkiYeHR1RUlEAgqHWBR48eTZ061c3NrbgYL3fUcqTmA//TS57Q0SH9h6vmPksvzfK+/79i3nslhYZQPUhtlomNjT148OCKFSv+97//9e3b19HR0dDQkMvlFhUVZWRk3Lp1KycnZ8qUKQ8ePNDR0alzM/v27XN3d7e2tpZr8AjJ2atS2BQLfTvBBI9Pytk93Z1SEg8lsWf2KCzklehytJQUIEJMyWpzHz169OjRo2/dunX27Nn4+PiCgoLKykpDQ0N7e/v58+cPGTJEQ0Ojzg0UFxcnJCRER0c7OzvLL2yEFMJIG4Z1h5gHYN0W+tqKzSAIMii0/6bsh1mO6n3NlRYfQozVMXAYALi5ubm5uTV4A9HR0U+fPmWxGvgmboSaWEB3eFYIe29AOz2wFBsXktDVIwcPh+jDgnu3q7o77ngePccilEXghY2aqbqTeyNNmjQJAMLCwmrOio6OjouLo6ffv39fUlKCfwNkqKysrK6u8aQNUoBgR+JpoeaWOJg3sExDRaz7e2d7rvUD3vGow+q58/J/e/Que4PlTLlskX4wsKysDL8C0vD5tQ3zhqTDKwkhSepc6iu3D1qqVBX/0yF/CYLnPxwoYej1twvMvoh4fepWWaqUOhBSMvnfucfGxh45cgQAgoODZQ8LHBgYGBgYSE+HhYXp6OjgbYs0b9++VVVVVVNTU3YgrYWODixrDwA1fjjV0REMHs4/dmSly/iAnv3ddezlsjkej1dSUqKpqUm/shjVRJIKb2ZoYeR/vOj3e8i9WoSUorwKXryDDkb/lbDd+ghTk/nHI92+XUSXZFfkW6uZKSc+hKTAO2WEZNl7Azafg9elYkUEQQaPBqGQH30IAI6/udr5+uijry8rKUCEascouVdVVa1evfrmzZsAMG/ePG1tbT8/vzdvpDyvjVALMroXcEjYev6T1zYRunqk3zDh4xRBwj0f/Z692ziMTV5y412y8sJESBKj5D537tzly5dXVlY+fPhw8+bNS5YsKS4uXrhwIfPNbNu2rUuXLg0NEiGl0VGHbzyhoAR2X/uknO3el9WxEz/miOr7yuNO674xD+ym1UFJMSJUC0bJPSoq6vfffx8wYMCZM2cGDhz43Xfffffdd/iaPdRKdDaBka5wKwsuPBIrJQgyaDQIhPzoQ9qkxq+dvtVk48/dqBlhlNzLysqsrKwA4OrVqwMGDACAdu3aFRUVKTY0hJoNXwfoYVVjzBk9fdJvqPBxivDhfbokp6Kg373pORUFSggRoU8xSu4ODg579uy5e/fu+fPnvb29ASAmJoZO9wi1BgTANC/wdZAsZ/fux7LuwI+JpMreA4CAEmaUP/O5P+tF1VslRImQGEbJfdWqVYcPH+7Zs6eHh0ePHj3mz5//yy+/hIeHKzo4hJoP0eNMqfkgFIpKCTJkHMXn86MOAkAHdfPTzht5FD+vssZbtxFqWoySu5eXV/b/tXf3UU2deR7AfzcJJLxDBRVFpICBVaiKFqQtpQhMCL6/oDO1PeDLamtRZny3tlXr0Z7VdasOA7UqCnvcKS9Cxc5gFJG11rUtiAgKaqtYVk7trFAVCCS5N/tHNGaxaHBzSbh8P394kpsn8D0Ev16f3DzPjRvl5eUlJSVElJiYeP78+ZSUFH6jAdiexmb6t+NUUPH4CPPCAIliEnelhqu+QERjXeTXX82fYKEPNwE8N3Ovc799+/aePXuioqLUavWVK1fMWeYXQHiGvUC/CyVVDX1vskWN+NVo0YsBuqP5hskZe5EdEbF6bs9PeRpOa62o0M+ZVe7ffPPNxIkT9Xp9RUUFx3EqlSosLOzs2bPPfiaA4CSNJ/lgyvqabht3qWEYyZy39FqtYXLG4Oyv1X+6tvut2k2snvvNrwPAK7PKfc2aNe+9915hYaHhbkFBwfTp099//30+gwHYKJGI3p1Ijvb0l1OkfrRMJ/PCAEl8InelhrtUZTgS7TH2z0Er8u+U5d85ZbWs0I+ZVe4XL15MTEw03pVIJAsWLKiqquItFYBNc3Wgd2PI0Z46TCZdxFExIj9/3Zd5hskZIlo6bFb5+IzfD463Tkro38wqd29v7+rqatMjjY2N3t7e/EQC6AMCB9GGqeRhuhcZw0hmv6nXaHTFR4zHoj3GGm781HGndwNCf2dWuc+cOTMjI+PmzZtExHFceXn56tWrk5KSeM4GYNMMF0e2dlDDo4vaGa+BkvhErvoCV3PRdOT39+uCvpnz+X9/2dsRoR8zq9w3b94cHBxs2N56wIABcXFx06ZN27RpE7/RAPqCA1/TrhPU0v7wrvj1iSI/f11RrnFyhojGusiVnpFL63cc/ccZ66SE/sescndwcDhy5Ehtbe0XX3xRXFzc0NCwf/9+7CoAQETzIonj6C+ljxYnME7OHCsyjpEw4r+GbnnHZ0aE2yhr5YT+5tnl3t7eHhgYWF9fP2rUqLlz5yYkJPj4YPd3gIc8nWnh63Tzf+iLbx8eYbwGSuKU3MUKrvbxO1VSkV168KrB9gOskxL6n2eXu6OjY0REhHEnawDoYrQvTR5DZXV09trDI+LoWJGfv64wV9/W2mVws/a+4sIfqx5c6/pVACzKrG32Fi9evH79+mvXro0bN87F5fGukrNmzeItGEBfMn0s/XSXNMZlIxlGMvsPml3b2WNFkt+/bTqyg9Ncb29UXEj7evzeICff3o8K/YRZ5T558mQiqqmpOXTokOlxlDuAAcPQ8vjHi4sREeM1SBKXoDt+TBQyWhTykvH4EKnnibDdsZWp9e0NKHfgj1nl/uDBg2cPAujfTJeNHDmEGIbE0bFsbbXuyzx7/0BydDSODHT0ufpqnkxkb/p0r6opmjdwLQ1YjLkLhzU1Na1fv37q1KmJiYlr165tasJ2BAC/4Yc7tPM4HTNc5i4S2c19W69W644VdhlmbPYDt4+1surezQj9glnlXlNTI5fL8/LyPD09hwwZUlhYGBQUVFtby3c4gD4ncBBFB9HRKrrUSETEDBwkiVWwF77jLl96cnB9262l9TumX1xjX/46ERn+BLAIczfIVigUV69ezcrK2r9/f319fUJCwsqVK/kOB9AXzYskP0/a95/0jwdEROI34hgfX11RHqnbu4wMdhr+7yEby1suWCElCJ1Zc+6VlZUFBQUSycPBYrE4NTV1xowZFszBcVxbW5tIZO40UT+k0Wg4DovH9g3zI5ntKoc9J/Qr4tT2EmKmzBLv+3PHl/ns1NldRk5ynmC6JjBzMrL1ldLeDds3sCz77EFgwqxyd3Fx6bIddnNzs6urqwVzMAwjlUpR7t1Rq9USiUQqlVo7CJhlsJT+OZo7WiXSi6RSKZHPMH10HHfquH3IaOaf/s8mTXano7o81/lcnDbm614M2zegHHrKrHJPTExct27diy++OG7cOCKqqqpau3atUqm0YA6GYSQSCV6/pxCJRMb/PIHtCx1GIcOIMf4Vi0vQ1F/WFx+xC5STg+NTn0p4oZ/EMMyzB4EJs8p0x44dAQEB48ePd3d3d3d3DwsL8/X13b59O9/hAPo0QxvdU1NjM5FIZJc0T9/Wqvvb47UhmZORv/3Ebo4DmM+sEwRnZ2eVSlVRUVFbW6vX60eNGhUeHs53MgBh2HuafrlPG6eTi/cQcczv2NISUegYUdBIItLH/5dhjFarvXfvnpubG9bjA0vpwTTI8OHDU1JS5s+f7+7urtfr+csEICRvv0LtGvrsNHF6ksQqmKHDdAV/ffLKGQDLMqvcf/311/Dw8JkzZxruRkdHh4eH43NMAObwdqfk16iuiQorDZMzb+rbWnV/P2rtXCBwZpX78uXLOzo6jJPsxcXFLMuuWLGCz2AAwhHhT/GjqKSaKm4S4z1UHBPPfn+eu1pn7VwgZGaVe2lp6QcffBAZ+fBNnpdffnnDhg2nTmFPdwBzzQmn4CGk1hIRSWITmCE+uiP/QWosPAB8MavcRSKRk5PpTsDk6Ohob2/f3XgA6EIsolVKipITEZFIZDf7TX1rq66k2MqxQLjMKnelUrlhw4YbN24Y7jY2Nn744Yfx8fF8BgMQGuN12leaiBkyVPxGHPvdOe4aJmeAF2aV+86dO11dXeVyeUBAgFwu9/f31+v1O3fu5DscgPBcvk3/WkInL5MkNoEZ5K0rzKXOTmuHAgEy6zp3V1fXM2fOnD59+uLFixqNJjQ0NCEhAZ8mBXgOo4bSK4GU+x35DhDL576lSd+p+/tRmmzJlZoA6JnlrtPpNBqNo6MjEcXExHAcV1tbK5PJeiUbgDC9/SrdukuZZbRxuo9LdCx7+iSdP+tCxBHRv+yxdjoQiKedfR8+fNjDw2Pjxo2Gu0uWLImLi1u1alVsbGx8fPy9e/d6JSGA0EgllBpHWpYyThHFJJDJRwI71y63YjAQkm7LPT8/f+HChcuWLZs/fz4RVVRUfP755ytXruzo6KisrLx+/fqnn37aizkBBGWQKy18nUQM3d/0YZeH0O9gEd2W+/bt29PS0rZt2zZy5EgiysvLc3Nz27p1q1gsDgsLW7FiRUFBQS/mBBCasOG0bjI5sW3WDgLC1O2ce11d3SeffGK8e+LECaVSaVxPPCgo6NatW7ynAxA0huhd+R4iYvScnnl8ppVlvUggGN2eudvb2xsXUP75558vXbpkemF7c3Ozh4cH7+kA+gfTZgewiG5/pUaOHHn06MO1jXJycvR6vWm5q1Sql156ifd0AADwXLqdllmzZs20adN++eUXqVSam5urUCiGDRtGRA0NDQcPHjx8+HBxMT45DQBgo7ot96lTp+bl5e3atauhoUGpVGZmZhqOjxgxQiKR7NixY9KkSb0VEgAAeuZpH2JKSkpKSkrqcvDs2bNBQUHu7u58pgIAgP+XHu/DGxERwUcOAACwIN43Wa+pqTl48ODt27eHDh26ePHi4OBgvr8jQB+StZAIe6gCD/i9AKulpWXLli1JSUnZ2dkRERHbtm3TarW8fkcAACC+y72uri4gICAyMlImk82ePbuzsxM7rwIA9AJ+p2XGjRsXGhpquN3U1MQwjI+Pj/HRzs7OzkcrWesf4TVPn4afj4AZXlm8xGBB/Ja7VCo1rFhQXV29e/fuRYsWicVi46N79+7Nyckx3B4xYsTdu3exRvxTtLe3t7e3WzsF8Oj+/fvWjmC7MKPbU5Yvd5VKlZ+fT0SzZs1SKpXt7e379u27cuVKWlra6NGjTUdOnDjReCL/1VdfOTs7o9y709raKpVK8W6bULEsq1arHRwcTM9+wBR+Mj1l+XJXKBQKhcJwm2XZTZs2+fj4pKenP1lMISEhISEhhtulpaUymQzl3p3W1laJRIJtUoRKq9Wq1Wp7e3v8+90dlENP8Tst8+2337a1tS1evJhlWZZliUgqlRrXIwMAAJ7wW+4//PBDY2PjnDlzjEfS09N9fX2fHBkcHJyamsprmD6tpaVFJpM5ODhYOwjwQqvVtra2Ojs748y9O/jl7ykG787bPp1ON2HChGXLliUnJ1s7C/CioqLinXfeOXDgQJf3pQCeG6axAAAECOUOACBAKPc+QCQSJScnGz8OBsIzePDg5OTkgQMHWjsICAfm3AEABAhn7gAAAoRyBwAQIN7XcweLOHz4cGRkpL+/v7WDgOVhzwPgA87cbV1LS0tZWVlRUZFxBU0QEux5ADxBudu6oqKiM2fOYGENocKeB8ATTMvYugULFhDR0qVLrR0EePH0PQ8AnhvKHcCanr7nAcBzQ7kDWNlT9jwAeG4odwBrevqeBwDPDeUOYE3Y8wB4gnIHsCbz9zwA6BGsLQMAIEC4ehoAQIBQ7gAAAoRyBwAQIJQ7AIAAodwBAAQI5Q69ZMaMGUw32traGIZRqVTWzgggHLjOHXrJ5s2bU1NTiYhlWYVCkZaWNmXKFMNDMpls0aJFWDALwIJwnTv0NpZlJRLJZ599tmTJEmtnARAsTMsAAAgQyh1sgp2dnWHO3cPDIzMzMzg42MHBYfTo0efPn8/NzQ0JCXF2dlYqlc3NzYbxHR0d69atk8vlzs7Or7322rlz56waH8DmoNzB5nz00Ucff/yxSqWys7OLi4vLyMjIysrKyMgoLS1NT083jJk3b96xY8eWL19eUlISFRWlVCovXLhg3dgANgVvqILNWb16tWEhrWXLlqWkpGRnZ/v5+YWHh+fk5Ny8eZOILl++XFhY+OOPPxp2DI+Kirp69erWrVuPHDli5egANgPlDjZn+PDhhhuenp5isdjPz89w18vLy3CjtraWiAICAkyfNX78+N6LCGDzUO5g035zZXM3Nzc7O7u7d++a7huOPcQBTOHvA/Q9ISEhHMdVVlY6OTk5OTnJZLJ58+YdOnTI2rkAbAjKHfoeHx+flJSUpKSk7OzssrKy5OTkkydPxsTEWDsXgA3BtAz0SZmZmV5eXlu2bLlz586YMWOOHz8eHBxs7VAANgSfUAUAECBMywAACBDKHQBAgFDuAAAChHIHABAglDsAgACh3AEABAjlDgAgQCh3AAABQrkDAAgQyh0AQIBQ7gAAAvS/n6Qk1Ws5GKUAAAAASUVORK5CYII=)
APCA
The APCA method performs PCA on the effect matrices augmented by the residuals. The same functions already used for ASCA can be applied.
resAPCA <- lmpPcaEffects(resLmpEffectMatrices = resLmpEffectMatrices,
method = "APCA")
Scores Plot
Different shapes with the drawShapes
argument highlight the data structure recovery.
# Hippurate main effect
lmpScorePlot(resAPCA, effectNames = "Hippurate", color = "Hippurate",
shape = "Hippurate", drawShapes = "ellipse")
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAAFeCAIAAAD8M3pVAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAgAElEQVR4nOydd5gUVfb3v7dCV+cwMww5K6JkQQUVA4LAovhDF2VhFSOLmNfXFRVFRQVdXbPu6oquq7smTLCKYkBFMSCLLJiQjMTJPT3Tqeq+f9TQ9HSanumerpnu83l8fKrvrak63Or+9ulzzz2Xcc5BEARB5BeC0QYQBEEQ2YfEnSAIIg8hcScIgshDSNwJgiDyEBJ3giCIPITEnSAIIg8hcScIgshD2pC433333Yyxr776Kr6rc+fOxxxzjH58zDHHjBs3LremGcPOnTsFQWCMPfroozFdL7/8MmuM0+k85phjnnnmmZiFC4FA4K677jrttNNKS0tLSkqOO+64xx9/PBQKNet27Z3Ro0ePGjXKaCsIIqe0IXFPE7vdbrPZjLYiluXLl1900UW1tbVZvOYrr7yiK/Urr7yS8ISzzjpr3rx58+bNu+WWW84777zt27dfeumlt99+e+SEX375ZcSIEbfddpvX6506deqZZ55ZUVFx5ZVXnn766aqqNvd2hUBrPEeCMAbeZrjrrrsAfPnll/FdnTp1GjFiRO5NSp/7778fQFlZWRavecwxxzgcjokTJzLGdu3aFd310ksvAXjhhReiGw8cONC5c2eTyVRTU6O3nHrqqVarVVdtnVAodMMNNwC455570r9de+fEE08cOXJkOme2xnMkCENof557QsLhME9eRyF1b5PU1dW1+G9bzNatW7/55pvJkydPmzaNc/7aa681+SclJSW//e1vg8HgTz/9BGDJkiUff/zxHXfcMXXq1Mg5kiQtWrSoe/fuzz//fIa3az0yGfAMnzVB5A3tT9xHjRqlx9xVVWWMPfXUU1dddZXVarVarccff3xEs1L3Ahg2bNiZZ54ZfeUzzzxz0KBB+vGpp546derUDRs2DB8+fODAgXrjO++8c8opp3Ts2NHpdA4bNuzpp5+OnPz//t//A1BSUnL++efrjdu2bfvd737Xu3dvl8t10kkn/ec//4m+lyzLnTt3TvHPfPnllwFMnTp10qRJoii++uqr6Q9RMBgE8PTTTzudztmzZ8f0CoLw/PPPz507Vz+tBbfzer033XTT4YcfbrVa+/bte8MNN/h8vkjvl19+OWHChJKSkn79+l1yySXl5eWRrrVr106aNKlz585dunSZNGnS2rVrI10JBzz1GEZo8lnHkMyMhM+RINorhv5uaESaYZmRI0eOHTuWcx4OhwF07drVbDbPmjVr3rx5AwYMALBw4cImeznnQ4cOPeOMM6LvcsYZZwwcOFA/PuWUU8aMGdOjR48LLrjg6aef5pw/99xzAI499th77rnn7rvvPvbYYwG8/PLLnPN169ZdfvnlAN56660ffviBc75+/XqXy9WtW7e5c+fecccdQ4YMYYz97W9/i9yra9eugwYNSjEaQ4cOdTgc9fX1nPOTTz6ZMbZz585Ib8KwTHl5eZcuXURRrKio4Jz37NnzhBNOSGfkm7xdDJMnT5Yk6be//e2CBQvOOOMMABdffLHetWzZMlmWBwwYMH/+/Ouvv97pdPbq1Uu354MPPjCZTD169Jg7d+7cuXN79OhhMplWrFiRbMCbHMMITT7r6LBMCjPinyNBtF/anLgnI5m4A/jwww/1rrq6ulGjRtnt9v3796fu5WmIO4Cnnnoq0nv66ae7XC5dpzjngUDA6XRedtll+suYWO2YMWN69uxZWVmpvwyFQqeccorNZotEw1Ojx1VmzJihv/zLX/4C4MEHH4ycoIv72Wefffvtt99+++3z58+//PLLO3XqBOCmm27inPt8PsZY5AoZ3i6aqqoqxti1114baZkwYYL+RRUKhfr16zdo0KDa2lq96x//+AeAhx56SNO0wYMHd+nS5cCBA3qXPkMwZMgQTdN4ogFPfwybfNYRcW/SDIq5E3lDmxP3Cy+8cF4cNpstmbifdNJJ0Rd55513dJc2dS9PQ9xtNpsewNXxer0RzeKc79mzx2q1/v73v9dfRotCZWUlgLvuuiv64v/+978BvP/+++kMxR133AHgzTff1F9u3rwZwPHHHx85QRf3aERRPPzww//85z+HQiHOeXV1NYCIeRneLpra2lpRFAcNGhTv2n/99dcAdL9bJxQKPf744ytXrtSvGTMm+n23bt3K4wa8WWPY5LOOiHuTZpC4E3mDlDpok3tmz5593HHHxTT+/e9/T3b+4MGDo18OGzYMgP4ZbrI3NT169BBFMfLSbrd/8803S5cu/emnnzZv3rxx40a/35/wD3/88UcA+tdSTFdZWVk6t9aTETdt2vT444/rLW63e/Xq1Tt37uzevXvktBdeeGHGjBkJr+B0Ort27bply5aEvbt27dq4ceOgQYO6dOmS/u10bDbb/ffff+ONN/bo0WPIkCGjR4+ePHnyaaedxhjbtGkTgEjEHIAkSXPmzAHw/vvvx3QB0Gc4Nm/e3KtXLzQe8BaMYTrP+pdffmnSDILID9qcuGeIJEk4OKPY3N6Y1O+YbPq77rrrtttuO/roo8eMGXP66acfffTRU6ZMSXgdRVEAzJs3b+zYsTFdRxxxRJP/hA0bNmzcuBGAnrMYzWuvvXbdddc1eQWdI4888uuvv/Z6vQ6HI6br8ccfX7Ro0ddff92lS5cW3O7aa68999xz33rrrQ8++ODFF1989NFHTzvttHfffVcfWH2QE8IYi34pCAKASFAlesAzHEOkfNapzSCI/KD9ZcvE8L///S/65bp16wD069cvnV7eOGdu+/btye7i9XrvvPPOWbNmrVmz5r777rvkkkuGDRsWvw5Ip2/fvgAkSTo5ig4dOuzatSteZ+PRE1f+9a9/Rf/C+uGHH9DM5UXTpk2rqal5+OGHY9rD4fCSJUscDsfRRx/dgtuVl5d/++23Dofj8ssvX7Jkye7du6+99toPP/zwnXfeOfzww3HQ6Y5w7bXXPvnkk4cddhiADRs2RHfpLyOPI5oWjGHqZ63TXDMIoh2T0yBQSlqWLQNg5cqVepff7z/ppJPMZvOuXbtS93LOR40a1bdv30iQd+XKlQCiY+7Ry6Z04bj11lsjLZ999hljLCbmrk/fcc7HjRvXqVOnzZs36y99Pl+fPn26d++uz9qlRk8xjI7v6+jpItu3b+dJsmVi0DRt1KhRiqI8++yzkUZVVadNmwbglltuSf920Xz88ccAHn300UjL66+/DmDZsmV1dXVdu3YdPny43+/Xu1atWgXgvvvuU1V14MCBXbt2LS8v17vKysq6du06cOBAVVV53IDz5oxhk886EnNv0oyY50gQ7Zd2L+5du3a1WCxXXHHF7bffPmTIEAB33nlnk72c81tuuQXAmWee+eyzz+pztjabLZm4B4PBXr16ud3uG2+88ZlnnvnDH/5QUlLSqVOnvn37fvDBB5zzp556CsDNN9/82Wefcc7/+9//OhyOTp06XXfddTfddFO/fv0YY3repE7Pnj2HDRsW/y/Vc66nT58e37Vw4UIADzzwAE9P3DnnGzZs6N27N4Bhw4bNnj37/PPP79GjB4Djjz8+EAikf7to6urq+vXrZzKZZs2adf/9919wwQUul+uII47wer2c83//+9+CIAwdOvSuu+666aabPB5Pjx49qqqqOOfvv/++LMu9evW69dZb582b16tXL5PJpI9e/ICnM4YRmnzW0amQqc2IeY4E0X5p9+I+b968xYsXH3300Q6H49hjj128eLF+Wupezrnf77/uuuu6du2qR2BnzJhxzTXXJBN3zvn3338/YcIEl8vVvXv33/3udzt37nz++edLS0vHjx/POa+oqDjllFOsVusVV1yhn79p06azzz67W7duLpdr9OjR7777bvTVJEnq1KlT/L/0xhtvBLB06dL4Ln129LjjjuNpizvnvLa2du7cuaNGjXK73aWlpaNHj37sscciv1fSvF1814wZM7p166YoSp8+fS6//PJff/010vvhhx+eeuqpbre7a9eu06dPj/b9v/nmmwkTJnTs2LFjx44TJ05cu3ZtpCt+wHlTYxihyWcdU34ghRnxz5Eg2imMt9u12qqqSpI0b968BQsWNLc3Gp/PV19fX1JS0jpmEq1O+s+aIAqHfMuWaQF6QMZoKwiCILJJu8+WIQiCIOIRo8t/tzsqKipOPvnkZElsqXuJfIKeNUHE0I5j7gRBEEQyKCxDEASRh5C4EwRB5CEk7gRBEHkIiTtBEEQeQuJOEASRh5C4EwRB5CFtZYXqokWLduzYkbCLc66qqiiKMWW4c49uhrE2aJqmaZrho8E5180w0AYAeinHFBXkc4NeykOvC28geg1qwx+KpmmMsay/PzVN++tf/5rda+Y3bUXcd+zY8dhjjyX8eKiqWllZ6XA49A0cDKS6utrlchlrQyAQ8Hq9RUVFxkqJpmk+ny+d8vStSm1tbTAYLCoqMtYMvcSm2Ww21oyqqipRFA1/KD6fT1GUrH/j6nuXE+lDYRmCIIg8hMSdIAgiDyFxJwiCyENI3AmCIPIQEneCIIg8hMSdIAgiDyFxJwiCyENI3AmCIPIQEneCIIg8hMSdIAgiDyFxJ4i8QtOwv8ZoI4g2AIk7QeQVT32Cv7wH2hmZaCuFw/TSjwl369Zr3Wmaph8YiG6ksTZomoaD1RCNNSNno7Gl/leLoHRWSuK79EFoCw/F8PdGSG0oTjm4m/b1FuGXvVqfDsa8Q/SKoVkfDWPf8O2RNiTu9fX1CSsd6g81GAy2hc9wfX29sTbog+D3+w0v+auqam5Go/+Xv7up2/lzu/0+viscDuvvnByYkYKI/2GgDUvWKut/dc2bUN2/Q51Zsq36We1sDxhiSTgc1jQt61VLjR3e9khbEXdBEOx2e7KSv4FAwGw2t4WSv3a73VgbAoFAKBSy2WxtoeRvbkZDhCDKYsJ76SV/28JDMbzkb0U9nOawJEkOh31Qd/y0T7bbZUMsaaWSv4bXqW93UMydaOuITFD5Ia+Ng39ZvWGHf5+BJrVB9tWgg71hlI7ohP01qKwz1iLCYEjcibaOyMRocQdw8po5z/z6tlH2tEFUDeW1KImIe2cA+HmPkSYRhkPiTrR1RCaoODTdwsA6yO59wQoDTWprVNZB1VBkaxD3Lh44Lfhpr7FGEQZD4k60dWLCMgA6KkUk7tF46wHAbmoYJQYcVoqfSdwLGxJ3oq0jIjYs09FUtC9A4n6I2gAA2JRDyYJ9OmBPNQIhw0wiDIfEnWjriExQeaMs2I6mon3BSqPsaYN4/QBgjxL37sXgHLtokAoYEneirZMgLGOisEwjav1AY8+9ZzEAbC83yCCiDUDiTrR1RCaqiBV3n1rvUw1eu9R2qA1AFmESD4m70wKXFTtI3AsYEvdsEAqBls+1GhITwzwc3dJRKQJAznsEXwDWuBV+PYtJ3AsaEvdM4fv2BOb/KfTCYqMNyVtkJoW02Jg7AAq7RwiEYI5bENqjGLsqoZLXUaiQuGeKtnUzVFX7YQOvrjLalvxEFqRQjOeuizslzBwkEIYpTty7FyGsUvnfwoXEPVP4gf2QZGia9v3/jLYlP5GZGNIaiXupyQMKy0QRDEOJKyTTyQUAe6pzbw7RJiBxzxh/PXO5WVGxtnWz0abkJyZBjvHci2WXyIQDFJY5SCAMJc5z7+SCwLCHfk8WKm2lKmT7hQcCUBShUxdt809G25KfyEwKao1W44hM8EjOshA5pQ0Ew7DFTajKIortJO6FC3nuGRMMMJOJ9erDq6t5FfmS2UdmsTF3AB1MbvLcIyT03AF0dlNYpnAhcc8YTYMgCl27AeC7dxltTR4SP6EKXdxD5JQ2EEw0oQqgsxt7q2jLvQKFxD07sI6dIQh8z69GG5KHmJgcM6EKoIPsIc89QliFnGgri04u1IdQTYXdCxIS9ywhy6ykg7Znt9F25CGyIAbjPPcSk+tAkDz3BlQNYqKPchc3AAq7Fygk7lmDde7Kd5Pnnn1kJiXw3E2eMgrLHETVICTaUrejEwD2Uti9ICFxzxpCl668ogyhoNGG5BuJJ1Rld0AL1VJ5GQCAyiEl+ig7LbDIOODNuUFEG4DEPWMEAZoKgJV2Auf8wH6jDco3TIIckwoJoIPJA6AsTM47oHvuST7KJQ5apFqgkLhnjCjxcBgAK+0IgO+njZuzjCLIAR4r7iWyCwCluutoGsREYRkApU7sJ8+9ICFxzxhJgqoCYEUlkCTtAIl7llEEU0CLDXY1eO4k7oDGwZF4QhVABwcOeCkbshAhcc8YUUQ4DACCwIpLyHPPOoogBxKEZdygsAwANNR9TBaWKXUiEGrYZJUoKEjcM4VJEtSG6T5W2onEPesk9NxLZDeA8hCFkxu2EkjmuZc6AVDYvRCh2jIZI0aJe4dS7YeN0JJPbxHNR2FyUAtzcGHF8QD4uNUAFEG2i5ZyCssAGgcAFhVzv/iZ2HPuWYbFl+TOJKItQBqUMZKEUETcOyIcogoz2UURTBw8GJfqXiy7KsLkkRJEYkjcM8Zk4gdz21lxCQBefsBQg/INRZABmD88SX/JVozSD4pNJO4EkRQS90xhsgnhMDjHIXEvM9qovEIRTAnbyXMniBSQuGeMLINzhEIAmN0Bs4XEPbuY48Rdd96LZVdFmFK4CSIxJO4ZY1IA8GBAf8WKS3gZhWWyyYUbFyRsL5FdFZQtkzYa7ZRdYJC4Z4xJBoDgobA7xdxzAFsxSg/LcFqgkx5VlOpeYOQoFfLFF18cNWpUnz59cnO7XMJkBUCkXhgr6aB9/z9w3ig3jciA/wx7YNJ/r1878h/DHP2i2x/d+WqIh2vV+mKjLGurxGQ9/rgH972D8loU2QwyiDCCVvfcKysrP/roozfeeCMQCLT2vYzBZAIaee4Ih3k1rZzMGnrM3a8FAbAVow5ly8guADSn2iS6ppfXGm0HkVta3XN/4403duzYIeTxoh5FARB87IGDrznAeEUZc3sMNCqf0LNl/GogIus6urhXqjSn2gRFdjBG4l5wtLq4X3zxxQDmzJkT3/XFF198++23+nFdXZ3P50v4HcA5BxAIBMLh2GUsOUZVVZ/PF9PINK3xBmcMgH/Pbt6xSyvZAKCuro4ZGvbhnIfD4fjRaBUCGoDKukOLUdmKUbXHf2ANywDKQzU5MiM5qqpyzvVHk3v8IQZYg8Ggpmmc84Sj4TRb91WpPl8ufj2HQiFN07Luzxk1vO0XI8sPbNiw4Y033tCPO3Xq5Pf7U7whgsGgsXIGgHPu9/tjGhmHTXfXoxrVsrJg3JlZpC3EuBKORmvAwhzAOT/cEt1o/2LstwP+DqA8VJ0bM1Kjf9sZcutAWBf3EOc82UNxW5Qyr5abgWql7zmN0n2aiZHiPmvWrFmzZunHc+bMKS4uTijuqqpWVlY6HA5FUXJrYCzV1dUulyu21WIJNFZ2AJb6Okdxq8zzBQIBr9fr8XiMjXRpmubz+RwORw7u1bk+8TfZYaW9sBFVWm1x6wx1+gQCAc652Ww25O5BFQAsVpsohkRRTPhQOrrxayVyM1A+n09RFEnKsrbIspzdC+Y9+RsKzxmJvnJ4ZXnuDclXLGLiL3XXx2NlJlUW/DomfffU1H5tkQ1lFHMvMEjcM0YU49tokWoW6fzJGcm63JK9Si100dL3YNJSpvsX2RAIoY729y0kSNyzALPZxRNP0Y+Vex+RfjOZ13ppp+xs4T/t02RdB0JVVeFCF3fGwJry3D02AKg0eOKZyCk5irk/8cQTubmRMZjNCPiVex/RXzFPMTjnlZX6rqpEhiiCLDDh9j6X3Nrn4piu41ZfTJ47ACY04bnr4l5Vh66UoFswkOeeDRSFR+UhsKJiALyCwu5ZQ2GyP24zJgAeyVlJi5gAgTUl7lYAqCDPvZAgcc8CTDEjEJVkpos7zalmD4uo1GsJcmY8soM8dwAig5pS3F1WCAxVJO6FBIl7NrBY4T9UlolZbVAUXkn7MWUNi6DUq43EXa9D4JEclC0D3XNPGXMXGJwWVNblyiCiDUDingWY2czrG9XcY+4iXlVhlD35h1kwJQzLuEV7lVpLhSEFQd8tJhUeG4l7YUHing0sFjRe+8c8HlSSuGeNmLBMpMjMwl3/DHO1Nlzo1WyFpsIyADxWypYpLEjcs4HZksBzJ3HPHtFhmZjyYaDCkIAoNL0Xh8dG4l5YkLhnAWa2IBxCVGkR5initV6EQwZalU8km1DVof2YRAFqk+JuRa0fIaq+VTCQuGcDswUAj55T9RSBc15FVd2zg1Uw16l+JHLbAVQWvLhLQtOq7baBA9UUdi8YSNyzANMrRkWJO9weABSZyRZWsUHcE3Lat1fl0pg2iCQ27bnrW3bQnGrhYGRVyPzBYgGAqLB7wzomSpjJElbRXKf5AfBxq6Pbt1bu6rNm6t+OvNEgu9oKkoBwU+LusgBAFYl7wUCeexZg8WEZuwOSTKnu2cIqmuvUBDF3t2QHQOVlJDGNsIwVoLBMIUHing3iPHcwxtxuyobMFlZBSRiWkZlkE8xVBb+OKZ0JVYsJJgnVhZ41WkCQuGeDOM8dAHN5eBV57tkhRczdJdkrQ4Uu7rKIcBppME4LiXsBQeKeBZjFCsZQ3+gXL/N4eDWJe3awCIpfC2o8gXfqEm0UlhHTiLkDcFspLFNAkLhnA1GEbOJ1jZ0il4dXVzW9KpxIA6to5uAJU93dkoNSISUhLc/dZaEJ1QKCxD07MKsV9Y3W/zG3G+Ew9xW6U5kVrKIZQMI5VfLcoYdl0vDcXVYKyxQQJO5ZwmKNrUDg8gAAhd2zgS7uCT13p2CjCVUxbc/d62+6UAGRH5C4ZwdmscbG3PV1TCTu2cAqKAASzqm6aUIVkNLz3N1WcI6apKvBiLyCxD1LWC28LnZCFSTuWeJgWCaBLFFYBrq4p+e5AxSZKRRI3LNDvOcOkwKLhcQ9KzSIu5ZQ3O1BLZSiOEEhIKexiAmAi9YxFRIk7lnCYuX1sR8apifMEBljEy0AfAk9d8mGgl+kahIRJM+daAzVlskOzGKF3w9Ng3Do+5K5PTShmhVSxdxFB4DKUE0XpSTXZrUZlq4DgD8ucUc3Lr4k9jSnGYxRNmShQJ57lrBawXnsfkxuWseUHQ567gl8TvLc00cQ4DDDS557YUDinh2YxQqAx6S6O128pgYq7Y+QKSnCMk7BBoASZtLEYaZsmUKBxD1LWK0A0DhhBi43OOfeQl8/mTl2KannfrAwJIl7WjgtqCHPvTAgcc8OzGoDwOsae+4uNwCaU80cs2ASmFCbMCwjUlimGTjN8JLnXhiQuGeJhOLudgMAiXvGMDCroCT03O2CRWBCNYl7ejjIcy8YKFsmOzCbDQB8MTF38tyzhk20JBR3gQkO0UriHs/FzzQcRKfNOM2oDcRkdRH5CT3hLGFSIIqxqe6KArOFxD0r2ERLwglVAC7JVh32JewqEOZOAoArTm76G85hAeeoTVCkh8g3SNyzBrPaYjx3AMzl5jXVhtiTZ9hEc0LPvfjbSS7JXuCeu0kCgFC46TOdZoDWMRUGJO7Zw2qLiblDn1Mlzz0b2FN57vbqUEGLuywCQEhjTZ7ptACgOdWCoK3E3Dnn4XBYSBQI1DQNgKqq4XAanklrohuZtNti4T5fzAnc4cCWfVm0XFVVAMnGKmdomtbEaGQbq2CuDdfF3NGxehyAVVXfjXQOMPDtEXkoRhkggAFiMs892jCrzACxslYNh1trGxlN09RWWNvBs7fvzbhx4+x2+xtvvBHdePnll69atep///sfAMbY8uXLx48fn607GkIbEvdAIJBQsPSHGg6Hs/h0W4amaYFA0milaLGgqirU+ATB7hBqqgN+P1jTXlU66B+bYDDIsnTBlsE5V1U1xWhkHQtTKkPe6DvavxgbOY7pyjGqqnLOjXx/qgywJisvEz0yisAAa5VPDQRCrWWLqgaDwaw7H1oO69Bfeuml3bp1y9ntImzdulVRlC5dumTlam1F3AVBsNlsCd8Qqqr6/X5FURRFyb1h0YTDYZueFZOw1+HU9u4xNz5BLe4QVlUr15jdmRUbAoFAMBi0Wq2Ge+4+ny/FaGQdp8n2S2BXsjv+VL8jl8bEEAgEOOdms9koAwQTAITUxG+J6JGxASYJAdVks5layRifz6coiiRlWVtEUczuBVPw9NNP5+xe0Vx99dWHHXbYgw8+mJWrtRVxzwcsSWLuAKqr4MiOuBcsMdkybMWomBPYilF83OrcGtVWUCQACKrs4XO9Docj9clOM02oGkZdXZ1VX83e+jTt/a1evXr+/Pljx4496qijevfuPWrUqEsvvfSll17yxWWGFDjMZkUgEFNJpmGRKiXMZEyybBkCgMAgiQikF/N3WGhCtQlkWX7vvfe+++47xti7777bu3dvm802YsSIt956C0CydlVVGWOffPJJ5DqdO3d+8cUXATgcjk8++WTGjBmDBw8GsGfPnvPPP7979+42m23o0KGvv/46gGOOOWbZsmUPPfRQ7969Afj9/rlz5/br189ut5944olffPFFc/8VqcT95ZdfHjp06NSpU3/++edx48bdcMMNd9999/Tp020221/+8pfu3bv/6U9/qq4m2TqIvkg1Zkdspwu0jikbOCRbRNzj3fbU7YWAIiEYTmsaxkEVCIA333yTNeavf/1rwjN///vfX3fddW+//faIESOmTJny8ccfp25Pxty5c4877rhly5YBOOecc9atW/fAAw+89dZbAwcOPO+888rLyz/99NMJEybMmTNn48aNAGbMmLF06dKrr7763XffHT169MSJE9euXdusf2PSsMyECRPq6urmz59/1llnJQzv/vzzzw899NDw4cNfeeWVo48+ull3zUuYzQ4APl/g7lsjjcqihyHJ5Llnjk00B7RQiIdlJkXCL7W1tcFg8L3gt9P/d9uWE5f0tmRnJqo9okgIqQ3iHlmbGk1knapdwb6Cfz8ef/zxd955Z3TLQw89tG3btvgz58+ff+WblM8AACAASURBVPXVVwM47bTTdu7cuWjRovvuuy9h+0knnZTijsOHD9fPB3D22WePGzduyJAhAPr06fPiiy9u27Zt+PDhkiSZTCar1bpx48bXX3998+bNffr0ATB69Oiffvrp7rvvXrJkSfr/xqTifvfddw8fPjzFX/br1++JJ56oqKioqaGqhwAAmx1A8KFF0W2BudewomLQEGWMQ7QC8Kl+vQxkNFTSHYAipx2WMdMKVZSWlp522mnRLa+99lpCcT/99NMjxxMnTrznnntStydjxIgRkeNrr732nXfeWbp06datW1etWhV/8oYNGwD07ds32RXSIam4p1D2mpoap7NherCoqKioqKhZt8xXWJJsDeZ08RoKy2SKXbIC8IZ9icTdDqDAF6kqEoJqWmEZmxl1VF6mRQiCkHA1Q7L2UOhQvmlkotvv959yyik+n++88877zW9+c9VVVw0bNizmD10ulyzL5eXl0VGT5ibINe/s7777rn///h6PZ/DgwZs2bWrW3+Y9zBorOg04XZxmJjLGLloAJK76S+IOmNKPuSvgIOc9XT744IPI8fLlywcNGpS6vby8XD/Ytm1b5Diazz777Kuvvlq2bNm8efPOOeccl8sVf87AgQM1Tfv2229tNpvNZjObzTNmzHjuueeaZXnzUiFnzpw5derUG264Yf78+bNmzWpyDqGwsFggCIhbasGcLm3TT4ZYlE/oYZkk4m4DUOC1wxQJNeltjmo3A4DX31CKgEjN/PnzRVE86qijXnvttaVLl7733nvJ2kVR7N2797333ltcXCxJ0h//+MeEKw1LS0sBPPfcc+eee+7mzZtvv/12AD/++OPQoUNFUdy8efP27dt79ux54YUXTp069f777+/evfvixYtXrFixaNGi+KulIKnnXlFREbMkLBQKrV+//oorrnA6nbNmzfr222+bdaf8hzF9y47YZpcb9XUIBnNvUT4RCcvEdzkkW7KuwkGR0w3LOMwAee5p88ILL7zwwgtnnHHGqlWrlixZEgm1J2z/5z//GQwGx40bd+KJJx511FHx8RYAQ4YMefTRR5955pmRI0c+/PDDf//7388///zZs2dv27btggsu+OabbyZNmgTgySefvPTSSxcsWHDWWWdt3759+fLl/fv3b5blST33r776au7cuQsWLJg8ebLeIsvykCFDHnvsseuvv/6JJ5445phjmnWngsBmEw7rp61r+NpT7n0EgLZuDQDurWbFHYy0rZ2TIizjFK0MrCacnuOap0Rny6RG99xrCzgbcsWKFfGNTz75ZORYj5V/9913AI4++ujPP/88/vyE7SeccMJ///vfcDhcU1MTPRnp9TbaBvLKK6+88sorIy+ff/55/aBv375nn322fizL8sKFCxcuXNicf1kjkor7xIkTe/ToccsttyxatGjhwoUnn3yybsS0adPuueeeYcOGvfzyyy2+a76iV/3VNf0QzoZ1TCTumZAiLCMwwSaavWphe+4SItVionfniMeuAFQYsjWRJKktpJmkirkPGDDgzTffXL169U033WS1Wu+5556hQ4du3Lgxlyto2xl2By8vi2ljThcA0JxqZuh7ZNcmcc+dkq2msMMyppTZMvGZ789/jlOa9yu/EElWISfrlXNag6ZNHDVq1MqVK5cvX37JJZccccQRd95552GHHZYDy9ojzGrjO7fHNrpcoAoEGWMXrQC8agpxL+iwjEVGSGUG103NL4YMGRKdy9hke1ujiVTIl156ac6cOYsXLx4/fvyaNWsmT548efLkOXPm7NmzJzf2tTNsNl4bl5Anm2CxkLhniFkwyUxKGJYBee6AIkPjCGW/jjrRXkkl7nfcccfcuXOLior+/Oc/X3fddYyxadOmrV+/fvDgwaNHj7755ptzZmV7gdnsCIcQDAAI3Hh15D/mdJG4Z45NNNeGk4i7aKsp7Ji7WQaAQMjIKv9EmyKVuD/55JOLFy++6667Xnnllb/97W/6EixJkmbPnr1+/frIIlXiEDY7AO7zBW68OrqZ79sLEveMcUi22kRhGbZiFHnuFhMABNJbx0QUAqnEXZKkYDAIwO/3i6IYvfjVarXOnTu31a1rbzTUDqv1xndxL5WXyRS7aIkPyxR/OwnA6/tXFri46567vx2EgokckWpC9YYbbpg5c+bZZ5+9dOnS66+/3titf9oFzK577gnWwXOqHZYxdtHiTT5rSuIO8tyJKFKJ+zXXXHPUUUd99tlnTzzxRGQpE5EKPSwTP6cKIBhAIACjdwps1zgkW0y2jL5Bts6+YEXOLWpDpBb3mMz3Zd/hjTVUOyzPaSIVcty4caIorlix4vXXXz9w4EBRUVGXLl3Gjx9/6qmnGrtBc9uE2R1gDL4EYRnoi1SV0hyblE84ROvuwIEUJwS1kEmQc2ZPm0IX9/qosEyKqu52BRyoCzUsaCLyklRf3GVlZcOHDz/ttNOWLVu2f/9+h8NRXl6+fPnysWPHjhgxoqKioB2lxIgiFIXX1ir3PqL/B0C59xF59tWgVPeMcTb23OP3XVI+TLVbQn7TrLCMTQEAH5WXyWtSee569YPIbiARdu/ePX369Msvv5wqEMTDbHZExdx1fW9YpEph98xwSNYCD6yngMSdiCGV5/7BBx/ccccdMcoOoEuXLvfddx/V+00IszviJ1R1caeEmQxxioc8d9pGNQZZhCikmy1D4l4IpPLcO3TosGPHjoRdO3fu7NCBymAlwmZPEH6RTTCbKSyTIQ7JWhuu17gmMEHfRlXfQ7WoqOizynUnrbn80xFPjvYMNdpMw1AkTp47ESGVuF9++eV//OMf9+zZc+aZZ/bo0cPhcHi93l9//XX58uWLFi264447cmZlO4LZ7HzPrwnaHU7KhswQh2Tl4LVqvevjsZE9snX0au/JihMUCM0Vdyrpnt+kEverr75akqQHHnjgrrvuim7v06fPwoULo+sRE4ew2ROmQjKHC17y3DPCKdoAuD4eG9/lSFlWrEBQJJ5m+QGzDEEgzz3PaSIVcs6cObNnz966devu3bvLysqKioo6d+58+OGHUx5kMpjdjlAQoSBkU6MOp4v/utMgo/IEh3So0DRbMSraeXc07NNU6OIenQqZoqo7A2wm1JG4twLr1q37wx/+sGnTptNPP/1vf/tbwi1Sc0OqCdUPP/xw3759giD07dt39OjRjLGHH374oosumjNnzvbtsYVtiQbsidcxMaeTJlQzRHfPU3QVuOduMTVjhapNIc89AdH1/lrw55qm/fa3v509e/b27dtNJtOtt96adQvTJ5W4jx07duXKlfrxww8/PGXKlKqqqsGDB69Zs2bgwIHff/99LgxsbzCbA0hQXoY5nPDXoz2UgW6zOKVGW9RGJ8ZYRbPExALfRtUs8fq0q0LaFIq5xxIj6C3Q908//RTARRdd5HA4br311ueee45zw2rsp7WfiKqqt95666JFi2688Ua95YILLvjTn/60bNmy1rStXcLsDgC81hv7IXM4AHBvDSsqNsCsvGDk15fGtDhWjysf/h/92CZaCt1zl3l92tuwF7jnrn7zJRqnLIfffTvBaSs/iGkR+h/FOnVJdtmtW7cOHDhQPz788MMDgUB5eXlJSUnG9raEtMR927ZtXq931qxZkZYLL7zw3HPPbTWr2jMNYZk4z93uBIl7a+KQrAUeczfL3J+2525XsL+Aw4Tq5yv5nt1Nnhav+JLdLiYX97KyMofDEXnpcDgOHDjQpsW9uLhYFMXa2lqPx6O37N692263t6Zh7ZWG8jLxMXeHEwAo7N5Skq1OKv52kj6z6hCtBe65m2XuDzMOpCPwVgV1abv5+Yfp2gQVy+PjMLGb3TeFx+Pxeg85dl6vN6KZuacJcb/33ntXrlzZt2/fAQMGzJ8/f/HixQB++eWXBx988OSTT07nBlu2bHniiSd27949bNiwK664Iv931hYEZrHGe+5wNnjuBpiUF/BxqzWuSR+cePdhs2/qfYHeqC9i0o/JczfLnHMEQg2lCFJjpWyZpmiusgPo27fvjz/+qB9v2bJFUZTSUsNqBaaaUH3qqadOP/30srKyf/3rX9u2bXv11Vf19rFjx1ZVVf3lL39p8uqc80WLFk2YMOGZZ56RJOmFF17IjtVtHLs9QVjGYoUoJhB9Im0EJthEszfJdnrkuVtkDiDNsLvFhLCGYLh1TWpfRKt5C5QdwMknn1xfX7906VJN0x544IEZM2YYuA1GKs/9sssui34ZKQP5yCOPjBkzJp2wzIYNGwCMHTsWwHnnnXfddddddtlleZ8jz+zOBJsxMcYcTgrLZIhTslUnSYlxSNZd/lQFgfMes8QB1AXhsTV5Lqwm6Ceb0grNFgot0/QIgiAsXbr00ksvnT179gknnKCHOoyiGQ+2qKhIP0h/4459+/b17NlTP+7SpUsoFPJ6vZHNVz/66KMvv/xSP/b5fLW1tQm/5fRcIr/fHzI6j1BV1dqEG3E0RjSbWdn+QOMz5QU3A1C/+sJ/+hkZ2gDA5/MZ+x3JOQ+Hw+mMRnaxC5YKf3XkvqFQiHOuv7RwpTrkzb1JOPhQ9E2GDUSROIDy6nqXrDZ5sqBJgLmsqk7StOyaEQ6HVVXNuseqD3LbZ/DgwV9//bXRVgDNEvdobr755meffXbPnj2pT6upqbFYLJGXFouluro6Iu47d+786quv9GO73R4KhVK8IVRV1bL9LmwunPN0vmCY1Sr5fNFnWhfNjxzLC26um9vysjz6V53hOgJA07Tcf906BGt1qDZyX03TIg/FyhRvuM4QD0B/KIa/P82SAKC2Xk1nEGTGAbO3Ti22ZPm9xDnXNC3rzoeBCePtlBaKe9++fU888cQmT7Pb7fX1h2o51dfXRwdzZs6cOXPmTP14zpw5Ho8nobirqlpZWWmz2RSj96irrq5OZzGxWlQSrvN5XC59E7P4KXjrovkt/vUXCAS8Xq/L5TJ2S1tN03w+X3TWV24oMrvqtEAkA0GfUNVflpR5fBV+Q5ITAoEA59xsNuf+1tFU1NUAEE32dMagkwYAouLI+oD5fD5FUSQpy+GerF8w72mhQFxyySWR+dUUdO7cedeuXfrx3r17ZVl2u90tu2N7wu4A57yuoFdLthIuyV4dThx4sYsWn+rnKFz/zqxPqKb30yUScyfylWaLu8fjWbNmTZonDxw4MBgMfv3115zzN99885RTTsn72VQAzJG4AgGROU7JWpMk39EhWTWu+VR/jk1qO1gOTqimdTKJe76T9JeO1+t9//3349urqqpWrFihFw4755xzUl+dMXbrrbc++uijTzzxxJFHHnnNNddkaG77wGYHwL1e1gkAlHsfaVkRIiKeFJ67TbQA8Kn1dtGS8IS8RxBgEnl9MC3/yWoCYyTu+UxSca+urj7//POjI+YRbr75Zv0gnSmOXr16PfDAAy22rz2il5eBr8Fzz3zZGxHBKdqSbaOqa3qtWt8xtya1KSymdPPcGYNZTvdkoj2SNCzTrVu3tWvXDhs2bMyYMdu3bw8fBMCqVasix0Q8eqUB7vXGFA41/ek2APLvZhpmWfvHJdlDPFyvJVhbaRetAGoLe5GqRebpO+NWE3nu+UyqmHv//v2//PLLESNGDB8+fMmSJaIoiqIIQJKkyDGRAJMJJoV7Y2PuwfvuRKKaYkT66FV/E0Zm7JIelincmDsAi4mnX+uRKhDkN01MqJpMpnvvvfeVV165/vrrzz///Opq2iguLZjDqX4SWywUAEymeNEn0seli3vIF19HzNYQliHPPd2TyXPPb9LKljn11FPXr18fDAYHDx7c2gblByxJAjizO1BLFQhajkuyA+j/xXmIqxMZibkbYlgbwdosz72wC0PmPemuC/B4PC+//PK//vWv1atXd+xYyFNW6eFwss5d+Z5fY5qZw0meeybEbMYUDYk7AGtzPHeLjL20M1j+ktRzjxQGiGb69OmPPvpor169Ii0HDhzYunVra1jWrmF2B2q9MVkxyr2PwO6gmHsm6J57BMfqcZFjfULVV+DirjQjjG6msExek1Tcb7vtthNOOGHJkiXJ6vV8//33s2bNGjlyZGVlZauZ115RV3/GvTWRVBnl3kd0oaewTIak8twlC4DacGGLu4mHNQTSS2SzyPCTuOcvScMy77333ksvvbRgwYKrrrpq9OjRQ4YMKS0tNZlMFRUVmzZt+vLLL7du3XrppZeuXbs2nXIrBUWqJUsOB6+tBecogJW6rUHXT8+MaYnsxCQzySTIBe656yXd6wJQ0gi4WmQEw9A0GFqmqM3BVozS31HtnVRvgWnTpk2bNu3LL79cvnz5J598snv3br/fX1paOnDgwBtvvHHSpEk2Wxp1owkgcOPVhzx3VUV9PfJ+RyojsIuWQo+5mzgAX3ol3c0mcKA+BJvBFfnaHJnr+2233TZlypRhw4Zly6QW0PT3+8iRI0eOHJkDUwoBffEqr/UyEvfmk2wb1chH0S5aKBUSSDfsbpEBwE/iHkWy91j67NmzZ8WKFffff//48eOzYlKLoSqarcnBvYoPzazqi1dra1gpZRw1G13BD1v125M8wxYPuAUHS/5GtpGxi1by3AGkmQ2p1w5Ls4pkodFi5/2BBx7YuHGjsRW5dUjcs8+hSmFxcfWGsjOUDZkBbtlRFU48gDbRXOgxd1MzCkPq+2gXZnmZxb8uOxCKzQSZu+mJ6Jf3bvtn/B/+puT4Qfa+Ka58//33AzjyyCMztjFTSNxbBeXeRwK33yiOGCmdMSW6PRKWMciufMAt2auSlXSXrN7Cri1ja1zI9+JnEpyz+JKGA91z9xek5/7wjpfX1/6S+pwYrdcpNXlSi3vbgcS9tWD2ROuVzGZIMol7Jrglx1b/7oRdVsFcHiroChmyyCUx7bBMAXvu342K9cqTRdvbb+ZME4GhTz75ZPr06WPGjFmwYEFd3SGfaPXq1RMnTmxl29o3zOGEN0FKO7PbYcQmznmDS7ZVhZKVdC/0sAyaUw6sISxTkJ57DJnPo7ZBUnnub7/99pQpU0aOHNmlS5f777//3Xff/fjjj/WNTPfv3798+fJcGdk+cTr57l0J2mmRama4paQxd6torivsqpAAbApqmzOhSuuY0J7d8xSk8tzvuOOOyy677PPPP3/11VfXrVu3ZcuW22+/PVeGtXuYw8mTee4+8txbjr4ZU8K9Um2iucBL/gKwK+mGZWQRklCgMfdCIJW4//TTT9OnT9ePe/fu/eyzzz744INUSSZNmMOJ+nqEYj86zGbnFJbJALdkV7mWsMyAVTTXaYUu7ul77gDMJgrLtAo//PDDCSecYKwNqcS9V69eP/74Y+TlxIkTx48fP2fOnHR21yPg1PdjinPe7Q7uo7BMy3HLDgAJIzNWgWLusJtRm/YXnDXtbfmIdkeqmPvkyZNvuOEGq9V68sknd+/eHcBf//rXgQMHXnjhhUcffXSuLGyvMIcLAPfWsKLiRu02O/x+hEKQZYNMa9/o+3VUhWu7I3YhmE20qFwLaCFFKNyxtUd57pGsx2QoEoVl8pZU4r5gwYK9e/fOnDlz8ODB//3vfwF07tz5448/njJlyvPPP58rC9srDft1JPLcAXBfLXN7cm5UPuCWHEiy055VVAD41PoCF3d/EKoGMY01kmY53RKSRLsjlbiLorh48eL77rtv//79kcbBgwdv2rRp5cqVP/zwQ+ub146JeO6x7XY7ANR6QeLeItySHUDCbEh9p7061V8kO3NtVpvBZgYHLns2tj2hF6/I5LnnLU0vYnK73SUlJfrx5s2bHQ5HaWnpmDFjxowZ08q2tXMsFkhyInHXF6nWUs3flpEi5q6Le4EnzNibUwVMkeAt9EmKvCXVL7f169dPnDjxrLPOirQ899xzHTt2PPbYY9euXdv6trVzGGMOB2riwjI2O6gCQQbomzGlCMsUeMKM3dyMkyksk8ckFfe1a9eOHDnywIEDF154YaRxzpw5//jHP/x+/8iRIzdu3JgLA9szzOHk3tjV8A21wyhhpqU4RavIhMpQCs+9oH3R5nnuFJbJX5KK+/z58wcPHvzVV19NnTo10ti5c+cLLrhg1apVgwYNuuWWW3JiYXsm4XbYkgSzhVLdW4zABKdkq0ySCgmgwBepNkvczRICJO55SlJxX7NmzaWXXiqKYnyX0+mcOXMmRWaahDmcqElQx4rZqLxMRngkZxLP3YyCj7nbmhOWUST4w4kW+xLtn6QTqvX19cXFxcl6u3XrVlVV1Tom5Q/M6eS+Wmha4KZr9ZaDm+3ZeR2Je8vxyI7KcILSDlaRPHdIzdklQpHBOUJhmKg+bN6R9JEOGDDg66+/njJlSsLezz//vH///q1mVb7gcEUrOw7unS0cNYgn8uiJNPFIDoq5p6DYjgFdceGJTZ+pHNxpj8Q9/0j6SM8777y5c+f+3//933HHHRfT9emnnz722GN33nlnK9vW7mFOV+J2m43v+TXHxuQTHtnxk29HfLtFUADUa2mXVslT7EpsBYJku3aYJQCUMJOfJBX3q6666oMPPhg9evT06dMnT57cs2dPxtiWLVveeuutf//73yeddNL111+fS0PbI8nEHTY79/lya0te4ZGd+oSqY/U4RNVrtYgk7gDgsMCbXmgq4rkT+UdScWeMvf3226+88sr8+fOff/75SLGw3r17//3vf585cyZj2VyFwzkPBAIJd5XVNA1AKK68Yu7RNC0QaI5wmBPPbamKGcFAoLa2BeVlwuEwgGAwmN3xby6cc1VVmzca2cPJrJWhmsjdo82QmVQbrMuxYfqb06jRiMA519+iVlk6UCMEAtElwRLk0AQCARECINfWhQI2LVtmqKoaDAZVVc3WBXV0HSDSp4lI27nnnnvuuef6fL6ff/45FAodeeSRDr1kSrbR35cJu/T2FCfkkubZYLYIooi4d7lmsQqAVuuFy90yAzRNM1zcYdznzSXaatV686en6C/Nn55Sd+JH+rFFVOpUf44NM3Y0os3QPyZ2hXv9TdujaZosAEB9UMui8REzsnXB9sXHH398ww03/Pzzz0ccccQjjzwyapRhezylEvdAILBq1art27d369bthBNOsNlsrWeHIAgWiyWh566qan19vclk0jeBMpBgMGixWJr3Jw6n0K+/+nVD3EDPltF+/D4EmNUwa+bVAAQCgUAgYDabE45VztA0TVXV5o5Gtii1FMW0RCyxCEqQhXNsWCAQ4Jybk/xQy6UZoihaLBaPHfVBKIol9XvEYrE47QDABSWLA6ZpmqIokpTlKdrWfsOn3kw8Tfbu3XvmmWf+85//HDdu3IMPPjhlypTt27cbJVxJH8CmTZt+85vf/PJLwwbhvXr1evvttwcNGpQrw/IE5nTxmmpd0w812u0AuM9H5WVahieuLhhbMUqPvFtFM8XcHWZwwBuAqynJ1pNkgjShmiU+//zz4cOH60mGN91005///OdNmzYNHDjQEGOSivv111/v8/mWLVs2bNiwdevWXXbZZddcc81HH32US+PyAaeTV1TENlptADhtttdSEhZ91PXdIij1Kok7AHj9aYi7CBSkuH/2c1pzzu+sj20Z3B3dkpdznThx4qmnnqofb9q0iTF2xBFHtNjIDEkq7l988cWCBQsmTZoEoEuXLvPnz7/uuutyaFiewBwuvi12Y8KGqr8k7i1l7LdXJeuyiAp57g3iXg8clKFk4QVF99yzPPfZDlixEbvinK54XvsmtsVpTiXuVqvVarUC+PDDDy+66KIHH3xQNm5PnqTiXl5efthhh0VeHn744XV1dTkxKa9gThf31UJVEV3IwaRAlslzbzFbTlzSZ9U5/xp055n2UcFgsKjoUAjeKprryHO3AEjLMzUVap77nXGrM7MScwdQU1NzzTXXrFq1avHixWPHjm2JcVki1aRH9AyGsdN37RinE5xzbw1ze/TlqTrM7SHPvcXomzFVhBKs8rUI5LkfCss0CWOQRYQKT9xbiVAoNHHixP79+2/YsMHwBBBadNy66OuYeE1NcOH86HZeVUnrmFqMS7KJTKgIJSgvYxGUhO0FhcUESUgg7gmdU5tSiDH3VuLtt9+urKx8+OGHw+GwviQlWRJgDkgl7nPmzHE6G2auvF4vgGOOOSb6hG++iYtIEY3RxT30+AMJ+shzbykCE9ySI1rEI9kyep67caa1CRhgM6e7SNUkFmJYJp4WRGDiWbNmzQ8//BC9GGjDhg0DBgzIwqWbT1Jxj96jQ8fAbPz2C0u+TInTHEYGFMuuiLizFYfemVaaUAUAONIXd4k896yxcOHChQsXGm1FA0nF/dln43bYJVqAxQqTSTz+ZHXlitgu8twzoEh2VjSu+kupkNE4zelujmqSCjFbphCgadJWhzlcqElQ+57X14HTNgktpEh2lgerARR/OynSyFaMsghmP3nuzakdRp57vkLi3uowl5tXV0UvUlXufUQ667dQVQQKPTrcYoplV0Wi/TrMosmvBePbCw2nGTXpee6b92P9zla2hjACypZpfVwuvnMHDhaW0WENi1R9zGxMeZb2TpHsrAjV6CV/o7lry7MMjIMzFHRxB6cFvgDCWvM2ZiLyCXryrQ5zunl8WMbWIO4GGJQXFMmJt1EFwMEDmvEFoo3FaQGPS3VffEl2ckKIdgGJe6vDXC4Eg/A3+pGse+6oI3FvIUWyM8yTzgMGCj4yo1eVSTMyQ+QlJO6tTsM6purGzrtNLwxJCTMtJGHtsAgUdndaAKCasm0LGBL31sflBsCrG62VZzby3DOiWHYB+GTQY+XD/8PHrY7stPf8wNtA4g64rAB57oUNiXuro69jig27yybIMidxbym6514Rjg27mwUFgF8tdHF3msFI3AsbypZpdZjDCUFAdWyVK2a1gSZUW4ou7pUHxT2ySPXc9bcAoFR3UYBNQXUicY+ZU31rLZZ+lxujiJxCnnvrIwjMZuc1cSUMJQt7LgAAGVZJREFUrTby3FtMkaSLe+IaYRSWAeC0pOW5SyI0DRotp8s7SNxzgsvNqypj2pjVBiov01Lcsl1mUnm4Bo1ry+iQuANwWhJ77jHIIgCEqAJB3kHinguY2xObLQPAauX15Lm3EAamr2NK2HvKmjk5tqcN4rKm67kDCJO45x0k7rmAudy8Ot5zt5LnngklJnd5uDq6tgwRjdNMnntBQ+KeC5jbg7o6BBvHCiw2qvqbCSWy69Wyj5P1xsdqCg2XBXUBhLUmTiNxz1coWyYXRLIhWUnpoUarBcFA7PaqRNqUyO4htsM+6v9w9B6q2+r39F519j8Hzv995wkG2tYWcFnBgZp6FNlSnSZTWCZPIc89J+jiXtU47G6xAaCEmRZTYnKVx2XLKIIMgGrL4GAFgqqmfhyS556vkLjnggbPvfGcKrNaAVDYvcWUyO6yUOw0tUmQAQQ5iTvcNiANcZdI3PMUEvdcwJwuCAJisiGtVuhbdhAtolh2+bVgndao8qGJyQCC5LkDbitAnnsBQ+KeE0SR2R2xnruFystkRInJBSAmMkNhmQg2BbLYdO0wveC72tS8K9HuIHHPEcwdlw2pe+4UlmkpJbIbQMx+TLIgMTDy3AEwwGVp2nMXSNzzFBL3XOGKXcfUUNKdwjItpcTkRpznzsBkQQpx2hUUANy2psVdJHHPU0jccwRzuWOzZWQZkkwx9xZTIrsAlIdii/aYmERhGR23FZVNijsDSNzzERL3HMHcHtTXIdCoWiGzWFBPVVlbSENYRo3NhjQJMmXL6LgtTcfcGzx3KhyWd+RI3F988cUtW7bk5l5tE+b2AIgtH2axkOfeYhyS1SIoZXGeuyKYKOau47Ki1t/EAiUKy+QrrS7ulZWVH3300RtvvBEIFHSJbeYpQpy4M4uVPPdMKJFdZeEEYZmgRjF3AHBbwdFEhRnKlslXWr38wBtvvLFjxw5BKPj4TxLPnSZUM6GD7DmQaB0TbZCtE0l1L7YnPYc893yl1cX94osvBjBnToISrG+88caKFSv0Y6/XW11dnfA7gHMOoK6uzu/3x/fmknA4XB23oVK6cK5Ikn//3nDUFWRRFurK6ppzTX00vN7Y7eVyDOdc07SWj0aWKBadZeGqGDNELviC9bm0TdM0AIb/NlVVNeahSJoI2HeX1ZUoSeNU/hADnLW++urq7HwjqqoaCoUYY1m5WoRwmH6NNQ8jC4cFAoGISPGDxJ+mNybrzTEZ2eB0sarK6CtwRUF9fbOuGRmNlpuRJdrCEymRXL/4d8WYITFR5WqObWsLo6ETbYbLrAKoqmcpbBMOZstk0f42MhQFTvbF/b333nv11VcBnHPOORMnTkxx5rRp06ZNm6Yfz5kzx+12J/TcVVWtrKy02WyKomTd2mZRXV3tcrla/OehomKxzmd1uyMtYbdbDfjdUS1Non8jOp1OYyNdmqb5fD6Hw2GgDQBKFU9ZVXXMACqSiUlCs0Y1QwKBAOfcbDbn7I4JqaqqEkUx5qFYZNSrFrfbkuyv9ICMSUl1TrPw+XyKokhSlrUl6xfMe7I/XuPHjx8/fnzWL5sHME+RtnlToxaLFaEQwmHQG7dFdJA9XrWuXgtYhENf/BITaRFTBI8NlSkrXAgCGJou+060Owp+njOX6ItUtaiPkdkCgPspYaaFlEguAAeCjeZUJSaGNaqD1UCRHRUpxZ0BjNEG2XkIiXvuYG4PVJVHzYUyiwWgCgQtp4PsBrA/WBHdKDMpzEncGyiyNSHuAMAAEve8I0fRgCeeeCI3N2rLHEx1r2CRwL3uudf7s5xYUDAcFPdGCaYSE0ncIxTZUFkHjTdMnCZEIG3PR8hzzx3M4wGAyvJDLfoUXIDCMi2ExL1JimzQtCbWMTEGSm/JP0jccwdzF4ExXhEVQzBbAMDo/P32SwfZw8BixV0gcT9EkR0AKmpTnUPinpeQuOcQUWROF6+MFnczAE7i3lIUQXZJtr3B8uhG8tyj0XfHbmJOlYGSZfIPEvecwjxF0eLeEJahbJkMKJU8ewMx4k713A+RjrgLIM89DyFxzymsqJhHxdwhmyCKCJDn3nJKZc/extky5LlHY5JgUygsU4iQuOcWTzGvrGj0SVIUCstkQie5KMZzF5BqtX0B0mQ2JIl7XkILI3MK83igqrymJpINycwWmlDNhFLZ80HNmugWgQkaxZCjKHHg2224+JnY9sWXNBww0CKmPITEPacwTzEAXlkevOfWhpbOXTmFZTKgg+SuCtdGVyBgYBo5olGUJK/3q5PtAo5Em4DCMjmFFRUDCD35UKSF79mlrf+vcRa1ezqZigDsCxwKuwuMcVqUE0VJU+Xd3DbIYk5MIXIIiXtOYa74UoXkNWVEqeQBEJ0NKUDQOIVlDqF77im+7iprEaIZ6LyDxD23iOQgZZlS2QNgb5Tnzhg08tyj0D33FE4ER6riBEQ7hcTdEEh6skZH2QNgT7As0iJAoLBMNB2aCstonMLueQiJe64Rjz2eQjFZpEhymgXTr/4DkRYGRmGZaMxyEyfwlGXFiHYKZcvkGlZcEp1XLJ42Xv30I2NNatcwsM5Kya+BQ+IuMEZ+eww9i1Fkx1VjE/dy8tzzERL3XMOKisG56fpbWGlHAOrKFQiFoGkwdNu8dk03c2m0uBfJzn7W7gba0wYpcWB/TdJeEve8hAQl17DiEgC8/KAYmRQACAaMs6jd01XpsMu/P/KyPFSzqW6ngfa0QTo4UOZN2qtRoDAfIXHPNQfF/eAEoEkBwANBA01q73RVOuwKHBJ3jWsCozd2Izo4UB9CTZIKdRRzz0voM5BzzBZmtfGKBnFnCnnumdJV6eAN13nDDbsVatAEemM3pqMLAPYlicxwTq57HkKfAQNgJSW87KDnLssAEAoZaE97p5u5FEDEedc4FyiE3JiOTgDYW52gi3NoHCIpQd5Bj9QAWEkpLzsYRpBkADxEYZmW01XpACAyp6px8txjKbLDJCaeUw1pACDTgOUd9EgNgJV04JUVCIeBg557mDz3ltPdXApgp3+f/pJTJaw4GNDBmdhzD6sAqLZMHkLibgCspBSaxivKAbCGsAztHNRyuigdZCZtr9+rv1S5KoK0KpZOrsQxd13cJRqwvIPE3QBYh1IADZEZSRd3Csu0HJEJPcwdt/n36C81cEauexwdndhfnWBTjhCJe55C4m4ArKQUjPED+4GGsAynsExm9LJ03lbfIO4BLagITa24Lzw6uhBUUVUX2x6isEyeQuJuBCYTczobPHfKlskG0eLu14JmwWSsPW2QTi4A2BMXdg9rACCREuQd9EiNgXXoyPfvA8AEEQBUKqedET3NnXYF9od4GEBACykk7nF0cQPAr5Wx7TShmq+QuBsD69hJ27cXQENJGY2qGGZEL0tnlWt6EYKAFlQYhWVisSlwWxOIe0NYhqpM5R0k7sbAOnZGfR2vqW5YPULinhl9Ld0A/FK3C+S5J6erJ4G41wcBwELfhnkHibsxsI6dAfB9e6CHZUjcM6O/rSeAH+u2gyZUk9PNg18rY/cxaRB3+jbMO0jcjUHopIv73ob1NiTumVEkOzuY3D/5tgOoCftckt1oi9oiXTzwh1BR26ixPgSQuOcjJO4GYbYwl4vv3QNBAGPQaEI1U4609frBtx1ARbjGIze1s1xB0s0DxM2pUlgmX2kr0yiapvn9fiHRhhWapgEIhUI8fgFGbtGNzNbVWKeu4Z3bw3V1jPOwxkPpXTkcDgMIBALGrtPhnKuqmsXRaBmqqnLOdTMON3d/p/yL2npfbbjewSy5tC0cDhv+5kQaD6XIAsbM2/aH+3U4tCLaWy+ZRCkU9GcrG1d/i+r/zyIa/bptJm1F3NlBEnbFHBhINm3o0o398lNDsV9RTPPK+mnJxirHtAUbcNCMo6y9ntmzdIt/Nwd3S44c29Z2nkgKM8wyOjr59goh+hx/iJnlbK7pTfFZJnJJGxJ3RVESeu6qqvp8PlmWFb30uXH4/f4s2qD17BVSVfnA/hAgKYrYnCubTKaEY5UzNE0LhUKGP5FQKKSqqm7GCcVDsBnLq78C0MlSnGPbOOeGj0Z9fb0gCKnN6FuK73ez6HP8YdjMyKLx4XDYZDJJUpa1xdg3fHuExsswWLceAPj2LQAg0hqSTBnm6GcWTP/Y/Q6Aw2gP1ST07oBKHyqjihBU+OCxGmcQ0WqQuBsGczhZSQd1/ToAzEIfr0wxCfKxrqO+920VmHCErYfR5rRR+nQAgK2HthNHVR3c9O7LR0jcjUTodyTftwcAnC6jbckHLut6FoCRrgEWweAISZulexFMIrYc2nEWVT54bMYZRLQabSXmXpgIRw5Qv/gUjLGiEqNtyQd+1+n0zfW/zuz8G6MNabuIAnp1wKaGfU3gCyCokueen5C4G4nQ70hh6AgmCMxFnnsWEJkwv88lRlvR1hnQFW+thS8Am4LyWgDkuecnFJYxGPl3F0jn/d5oK4gCYnB3aBwbfgWA7eUA0KPYWIuIVoHEnSAKix7FcFuxficAbC+HTUExFWvIR0jcCaKwYMCwnli7HV4/th5Az2LQcqO8hMSdIAqOCYMQVvHUSmw9gKE9jbaGaB1I3Ami4OjgwOh+2Pgr3FacdITR1hCtA2XLEEQhcv4JOPVImGWYaHF0nkLiThCFCAO6FxltBNGaUFiGIAgiDyFxJwiCyENI3AmCIPIQEneCIIg8hMSdIAgiDyFxJwiCyENI3AmCIPIQEneCIIg8hMSdIAgiDyFxJwiCyENI3AmCIPIQEneCIIg8hMSdIAgiD2krVSH79+9/5ZVXJuxSVbWmpsZut8uynGOr4i0RRYMLpAaDQZ/P53K5BMHIL2bOOefcWBsA+Hy+cDjsMnp78TYyGjU1NYIg2O0Gb5qnaRpjjLEs7+9ksViye8G8h3HOjbahCXbs2HH22WcvXLhw3LhxRttiPMuWLbv99tv/85//dOzY0WhbjOeee+75/PPP//P/27v3mKauMADgx1JAEQw36LXlsapUtA6HbVl9dB3FEAVU0KhRF6YSMzWo2RJ1YIzKcAtkPhZFJUoZLlkmKKKIItgu20ymQhAcj6GIBA2tYxuvloLS0rM/bnLTlbaoWXba+v3+uve7h3O/3px8Laf3nt64QToRl7Bhw4Zp06ZlZ2eTTgS4BJiWAQAADwTFHQAAPJBXZmYm6RzGgDEeN25cdHR0UFAQ6VzIs1gsAQEBMpnMx8eHdC7kmc3m4OBgsVhMOhGXMDw8LBKJhEIh6USAS3CDOXcAAACvC6ZlAADAA0FxBwAAD+Qq97k719fXd+rUqebmZh6Pt3PnzvDwcNIZkaRWq4uLiw0GQ0RExI4dO3g8HumMyGhvbz9z5oxOpxOLxTt27PDz8yOdETEwJMBo7vHJPTMzUyKRnD9/XqlUHjlyhHQ6JHV2dp4/fz4jI6OwsDAoKOjs2bOkMyIDY5yTkxMfH19QUMDlcr///nvSGREDQwLY5QbFvampyWQyJSYm+vr6JiUlZWVlvc1fAmu12g8++EAoFPr5+S1evFin05HOiIympiaEUFxc3IQJE9atW/fjjz++taMChgSwyw2mZXQ6XVBQ0PHjxxsaGkJCQrZu3fqfP9nsRubPnz9//vzBwcGOjo5r1659+OGHpDMio6urSyAQMNvBwcEmk8lgMEyaNIlsVkTAkAB2ucEn94GBgQcPHojF4ry8PLFYfPjwYbPZTDopwp49e6ZSqVpaWqKiokjnQoZer7debGTChAn9/f0E8yEOhgSw4aKf3Kuqqi5duoQQWr169cSJE8PCwmJjYxFCK1asKCoqevbs2YwZM0jn+P+xvhoJCQkIodmzZx8/fryxsfHw4cM//PAD8eXM/n/+/v5DQ0Ps7tDQEPEFs8iCIQFsuGhxX7p06dKlS5nt+vr6gIAAZpt5WpX48pD/M+urcfXqVS6Xu3z5coTQzJkzh4eHe3t7J0+eTDRBAvh8fmdnJ7P9xx9/eHt7BwYGkk2JFBgSwC43mJZ57733/vzzz19//XVkZKS8vJym6ZCQENJJERMcHHzt2rXW1tbBwcFLly5NnTr17VyVITIycnh4uKamBmN89epVpVL51n4TA0MC2OUeyw+0t7efPn1aq9WGh4enpaW9zcUdIVReXl5RUdHb2ysUCrdt2xYWFkY6IzI6Ojpyc3O7u7tFItGnn346fvx40hkRA0MCjOYexR0AAMBrcYNpGQAAAK8LijsAAHggKO4AAOCBoLgDAIAHguIOAAAeCIo7sJWamjrOCk3TK1eubGtrYxtgjHNzcxUKBUVRwcHBSUlJ9fX1o/sxm80Wi8XJieLj42tqav77F/BGbt682dPTw+7W1tYyDwMD4KaguAM7IiIiNBqNRqO5detWZmZmdXV1QkLCy5cvmaPJycnp6emLFi0qKCj44osvurq65HJ5Y2OjTScKheLmzZuOTsGsPy6TyRBCg4ODu3fvFggEgYGBS5Ys+e2335g2juKssrKycaNQFIUQ6urqSklJ4fP5FEUtWbKEffs5efJkWFgYn8/Pyspi+2lubs7IyLB+xjU6OtpoNBYXF7/ZBQSAPAzAv23evDk6Oto6cv36dYSQRqPBGF+8eNHb2/vevXvsUbPZLJVK4+Pj2cjLly+/+eYbhND169cdnSUqKqqkpITZ3rJlC03TR44cUavViYmJNE3/9ddfTuKszs7Oon9bsGBBcnIyxlihUMyaNaukpKSkpCQmJmbKlCnd3d1qtZqm6YqKCo1GIxAIioqKmH6Sk5PLyspsMiwtLY2Kinr96weAS4DiDmyNLu5arRYhVFBQgDEWiUQbN260+ZOLFy8mJiaaTCaMcX5+vo+PD/PRwVFxv3v3Lp/PN5vNGOORkZGJEyfm5uYyh/R6vZeX14ULFxzFnWReXV09ZcqU58+fM5NIdXV1TPzvv/9GCJWWlh44cGD79u1McP/+/WlpaRjjO3fuLFy4cHRvIyMjISEhd+7ccXJGAFwWTMuAsT148AAhFBoaajQaHz58mJycbNNg7dq1N27c4HK5CKE1a9b8/vvvo6dQrFVWVioUCnblQi6Xy74feHt7czgcDofjJG6XyWTasmXLsWPHeDwel8vNycmZM2cOc4hZI5qiKKlUWl5eXltb29TUdPnyZalUihDat29fdnb26A45HI5CoaisrBzz+gDgglx0VUhAlsFg+OWXXxBCFoulra0tMzNTIBDI5fLW1laMMfsrGXYFBgYGBgYajUYnbe7evRsTE8Nsczicjz/++KuvvvL19Z02bdqJEydomo6Li3MUd9RnXl4el8tNSUlBCAkEgvT0dIRQTU1NXV2dSqVavny5XC739vaura2NiYmxWCyffPJJampqZWWln58fm4yNefPmaTSasa4WAC6J9L8OwOVs3rzZeoT4+fkplcqGhgaMcXV1NULo/v37Y3YyMDCAHE/LREZG5ufns7t9fX3WbxhXrlxxHh/NYDDQND36dDk5ORKJxNfXd+/evcPDw0zQbDYzM0gWi0UikdTX1zNxJmjt22+/FYlEY75YAFwQTMsAO6zn3I1G408//TR37lyEkEgkQgi1t7fbtH/+/PmBAweePHnyiv2/ePGCnW8ZGhqSyWRyufzp06d6vf67775LSUmpqKhwFLfb4dmzZymKWrZsmU08PT39/v37DQ0N586dKywsZIJeXl7MDFJxcfGsWbPmzZvX2NgokUh8fHzEYnFDQwP7576+vtY/CQKAG4HiDl5DQEDA9OnTy8rKbOJqtfrLL79kf1NlTDRNszeVV1VVPXnyJD8//5133gkICNi4ceOqVavy8vIcxe12qFKpNm3axO7eu3dPpVKxuxEREXK5nJloYpnN5qysLOaGyPXr1ycmJmq12mXLlq1bt45t093dzePxXvFFAeBSoLiD13Pw4MELFy7cvn2bjej1+qNHj77//vs0Tb9iJ5GRkY8fP2a2ORyOxWIxGAzs0b6+Pi6X6yg+urfq6uqHDx9u2LCBjbS1taWlpfX29jK7GOOOjo6pU6da/5VKpVIqlUKhcHBwsKWlZc+ePXw+//PPP29tbdXr9Ww/77777iu+KABcC7kZIeCiRt8Kac1iscTGxvr4+OzZs6e0tPTkyZNSqZT5otK6mfM59+LiYolEwmwbjUaRSCSTycrLy2/fvr17924Oh6PRaBzFMcYqlWrfvn1sb4cOHRIIBNb99/f3C4XC2NjYqqqqn3/+edOmTePHj29ubmYbGI3G8PBwnU7H7IrF4l27drW0tHz22Wdz585lm8lkMuc3XwLgsqC4A1vOizvG2GQyZWdnS6VSf3//0NDQpKSkxsZGmzbOi/vAwABFUWy11el0qampoaGhkyZNUigUarXaeXzNmjU8Ho/tbdGiRR999JHNKbRa7dq1a8PCwiiKiouLs37qCmOcnZ2dkZHB7j5+/FipVPr7+8fExDx69IgJPnr0iKIog8Hg5FIA4LLgl5gAGXv37u3v7z937hzpRBxKS0vz9/f/+uuvSScCwJuA4g7I6Ovrk0gkzDOlpHOxo6enRyaT1dbWWi84A4AbgeIOiKmrq6Moavr06aQTsaOjo6Onp0cikZBOBIA3BMUdAAA8ENwKCQAAHgiKOwAAeCAo7gAA4IGguAMAgAeC4g4AAB4IijsAAHggKO4AAOCBoLgDAIAH+gf7JUETJkXxAwAAAABJRU5ErkJggg==)
# Citrate main effect
lmpScorePlot(resAPCA, effectNames = "Citrate", color = "Citrate",
shape = "Citrate", drawShapes = "ellipse")
![](data:image/png;base64,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)
# Time main effect
lmpScorePlot(resAPCA, effectNames = "Time", color = "Time", shape = "Time",
drawShapes = "ellipse")
![](data:image/png;base64,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)
lmpScorePlot(resAPCA, effectNames = "Time", color = "Time", shape = "Time",
drawShapes = "polygon")
![](data:image/png;base64,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)
lmpScorePlot(resAPCA, effectNames = "Time", color = "Time", shape = "Time",
drawShapes = "segment")
![](data:image/png;base64,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)
# Interaction term
lmpScorePlot(resAPCA, effectNames = "Hippurate:Time", color = "Hippurate",
shape = "Time", drawShapes = "segment")
![](data:image/png;base64,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)
lmpScorePlot(resAPCA, effectNames = "Hippurate:Time", color = "Hippurate",
shape = "Time", drawShapes = "polygon")
![](data:image/png;base64,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)
A scatterplot matrix can also be applied to visualise the relationship between the scores profiles of interest.
lmpScoreScatterPlotM(resAPCA, effectNames = c("Hippurate", "Citrate",
"Time", "Hippurate:Time"), modelAbbrev = TRUE, varname.colorup = "Citrate",
varname.colordown = "Time", varname.pchup = "Hippurate",
varname.pchdown = "Time", title = "APCA scores scatterplot matrix")
![](data:image/png;base64,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)
Loadings plot
Note that the APCA loadings contain the residuals of the model and differ from the ASCA loadings in that respect.
lmpLoading1dPlot(resAPCA, effectNames = c("Hippurate", "Citrate",
"Time", "Hippurate:Time"), axes = 1)
$Hippurate
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)
$Citrate
![](data:image/png;base64,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)
$Time
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)
$`Hippurate:Time`
![](data:image/png;base64,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)
ASCA-E
The ASCA-E method performs PCA on the pure effect matrices then projects the effect matrices augmented with residuals on the PC obtained.
resASCAE <- lmpPcaEffects(resLmpEffectMatrices = resLmpEffectMatrices,
method = "ASCA-E")
The contributions and loadings are identical to the ASCA results.
Scores Plot
For the main effects, all score plots show a clear separation between the different levels of the considered effects on the first PC. This separation of the groups suggests a strong effect of those factors, confirmed by their significance.
lmpScorePlot(resASCAE, effectNames = "Hippurate", color = "Hippurate",
shape = "Hippurate")
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAAFeCAMAAABEjx0wAAADAFBMVEUAAAAAujgBAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFhnP9iYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4dm34+Pj5+fn6+vr7+/v8/Pz9/f3+/v7///8XGcgcAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAY+klEQVR4nO2deWATRdvAh4hFoLRcr1Asp9wIUikg9EUBrQpIwYOjlIKoWKCIAiofRYqAiHi8IhURERCtH6AUQbkpUpVT7htrwVcEhPSmRUuveXd2s9lNNtNM0s0mm31+fySTybOzT/rrTvaY7CAMGA7k7QQA7QHpBgSkGxCQbkBAugEB6QYEpBsQt6W/hQ4IhZCuGHeNVCsfwh8mlCSUij7sXr9Wh9dzhRfzHrqzfvfFxfZBPMnIQuPKr79Xj8q34dOoI73PYFcX3zrmBvW99xHqxRdKeqHI2W88bmqVxb1I72jqNnFMK9Sn1DZIIBk9mcjzrquZKLGVXlGmOkUd6a7zPsqkvtctqL/pT1L4BC0kT+vRBO6xb82vuceSaeht2yCBZLTGnTQcYiu9okx1iqrSS8qVJRmFsnIFf8oLaOQq9CEpjULCRtahOcbr0Ht8uaxJO9sgAZelFzqos2QN0mnYSO8RiUvR0kkB1XuuwrISDhtIIgZ25L4Ahpzq0gLjzb0bBIV9yr3kvn1jMb4Y3Tz4gU0k5vYQa8sL0IbMqv8mpVi0l6+5lI7xY8GWXnb357dsggQU0vMTWtW4+7UCrrT/sfqtnyfijgwIaTTgCLYmI60d22TNSxeDLZn6FSpKD60+LvEetEBWkkt/qOnoZfhz1P3t+d3RWnw8Hm08h0/Wbpwwt7NpKRcT2snacljQ37i36RJX+g4FTv3JsuPW7N82q5eCBBTSB90+ZN5A9DzGmwLumf1qcPNsnFqtaUJC02o7xWRka8dYnjWRbg0WMvUvKiFdRJSOdmF8s2et61JJLh1x2zd+tHY2xreC4yyd5kPNcrg+tU9gvrzh82gkxh8I3+YrmiBUa0ASt1ChaSQtiMe69z5GeJ1rmsI99uuES9p04jZ37qug/N67zBibG3UutyRju3ZZ1px0WTB07xJvoTHC7nKgKP1BUr0FJUslufRAstN9g3S3V2vGCtJz0Fvk7dVoh7zhuWgDxhkogn9R9suCyOoo6HucZ9vH2gQRrHvvKcLrgqqdhG7gF7SMeyz5OC1DWNtcdFFIxm7tsqw56bJgkC6h7N4nkVdX0VypJJfeng/+Zdaw8OrIIn2/uHX+v7zhe9B7ixcvrmP6Q6zIT6oRnIlDRcGXtl2WB50mDRxWdu8Lq5nCXtpZjr9C+4WK7eT/hBwKpArJ2K1dljUnXRYM0iUo0s1oplSySO9PpPP7+PNM4dM+O9rMIv0oSkzjuSpr95To4gOcNyRZqJuHvsORwZYvgQT0i03QOo5sB3vvl5c8VQ89XLwSHRJeb0cbydMGtE1Ixm7tsqx56dZgkC6hlN6bvNqJVkklHPY4KXUQpecHjCevG1uk56E55OWZ5AJZu4nClncOcV+sd/QX6j5EP+PP0Dy+XNI6qFQeZMFeeuZh7n+kaArasAd9SV5PXpKB5gt5XxCSsVu7LGu+e7cGg3QJpXSUxv2ZH6z+p1TCPVtyX55pSJR+Cs3iHn828dKvY/xISAa3i3Z3E/lBfeuagoTOpv/ikWgJKWa3qVuEy3vesZIrl0Vzm6JNkIC99N3oI0y65003Q8OLMN6D3i3rGJrF/TOEdiyzdDu2a5dlzUmXBfOZ+hdqHrLVeHFOZ/SmrIRnoqiViYGBovTi5nWmLx//r5CWqfhT9PrP+FhQyNQZbUxrubea3Se0dhTFCIUF6D/4Wm8U/kLCM3VNm7mK0y3QfRNGNUURt2yDBJLRkDkCwmm6m22qjXt/dO22N/Dq28LemlG3aS7eEdB8VmLzaqnid41s7RjLsyaHbFIwn6l/oaL0xBVdgrqvwLISLpoaakIjJ1u/08/2q91kxKUvGjyGs/vUfBHj9Kca135gK3lHPDkzHX0vFC6g+7mm3n28SWD70Sf4moKEnnUaPLC41D6Ix3rIJqZ1YWTjO+6O5/b58K6+dUJjSI9wqF/Dhv2PYjEZ2dqxTdb8yRlrsJCpX6HapVXuj6YoEQrMaq3Bs9hm7d94XLpe0GfW7gHSLegza/dQTXrZpO8VJT2hz6zdA4ZLGRCQbkBAugEB6QYEpBsQkG5AQLoBcVf6vLh4ZsZPYA6dEOdC7Dj2FMa5EsseOt6VdMezNKiqXBruSh/nwkXmghLm0BLzLebYUhd+hJCTxx7rQujf5jLm2Fs3GYImsK+7EoB0BSCdBkgngHQqIJ0A0mmAdC0A6QpAOg2QTgDpVEA6AaTTAOlaANIVgHQaIJ0A0qmAdAJIpwHStQCkKwDpNEA6AaRTAekEkE4DpGsBSFcA0mmAdIL/Sk/OEJ4zXh3xrvU+iyCd4K/Ss3c9fZYvlMftvPnBUrEapBP8Vfry2UMF6SfjML48TLw9DEgn+Kt0jOMF6TvJ7fSeJH+RvUlJSaPNBczk5DOH5pvzmGNvZLOnkOVKLHtorvkGc2xeLkNQnEdli7BLTyH39Ikht/RbFB4ePvyaGVCfsR6VLcIufTu/pWdbKqF7J/h9936SS+gqfKfb4OfST+WWP3+w/JMlYiVIJ/i59Oi9+OIrz7zzt1gJ0gn+K90hIJ0A0qmAdAJIpwHStQCkKwDpNEA6AaRTAekEkE4DpGsBSFcA0mmAdAJIpwLSCSCdBkjXApCuAKTTAOkEkE4FpBNAOg2QrgUgXQFIp6FP6VVYYkE6DZBOAOlUfEZ6lSos1kE6DZBOAOlUfEV6lSpM1kE6Dd1Kd24dpNPQofQqIN2CcaRXqcJoHaTT0J905k0dpNOIu57PTHYec2ieOZc9Nps9hcys/HxxS3cWm8XebI6Z/aPl5jAE+cxPlR0yLrOcmYJi5tBicxFzbMkN9hRy8qqUW/t3J7F57M3eNJcyxxYVMgT59paut+6dcSeOAN07DZ1JZ92JI4B0GiCdANKpeF+69escTsMSQLoCkE5DV9Jd6dxBOh09SXdpOwfpdHQpnS0cpNPQk3TMfFWVB6TT0KN02NItGEM6dO82GEo67MgJGEM6jHu3AaQrAOk0QDoBpFMB6QSQTsPj0mEINDacdBj3TjCcdBgCbTTpMO6dx1DSYQi0gAGlO7MO0mnoUTrjyViQTkPP0p1YB+k09CgduncLTqVL0+rOioqKmixW61E6bOkWnEmXTasbl56fXyDW61p6xdZBujStbunTpbJ6HUqvAtItOJMuTat7dei0odMvkDp9TrArc+4klr1ZP51gV5pWN332xeK1Y8lGu7Rv377R1zKZMbOHZppdCHYl1JwpGle5WReCGWJ8Y4Jd22l1y2MyLCXdde/s46Che5em1T1/inuIvWSp15t0GBgpw+neu2Va3VO5h6LTS799Wa+zKoN0GU6P0y3T6kbvxdvjo+f8JVbrTDqMhpVjkDNyupce+YTwfkdO2TbmdVIwhnSXfs3m69JfOM22wguXae8YQ7p4zxm/kM7KwCm0dwwmXbc3JWCWXmgtGV66K/27r0u/fdtxtKV5zfANWHwuRWnceyHJuFZaTEt8JbZxzc4puCtCzfHf01sH/nuvfWMGka77ce+RSMAivd6i1PGmH8RnSXqPRedwz45rd468PfNmv4mF+KkOH/2UEHzErjGQrsA3pUekEgZapC/iqgY8Kj5L0l/knt87jnEGOky699OInEF98im7xkC6At+Ubtu9n+PKHzUSnyXpK7nnko3znm8jSF8jdA9d7RqTS9/3xsPtm/cYu7oAOwekE7wq/eM7xWdBen1O+joup/s7zlt3TJC+NYC/wGm/Zkn6ms6h0e+s+Crp5W51p+U6zQ6kE7wm/SOuHPWQ+FyKUjC+iATpO9Dv3DG6IP1S1d3c32nwErvGrNIfe2C9+AHOx7e0/+pXANIJXpNeb0naJLRdfMYtuqft6W4SpB9Hc85+H46SSwdH/Y7H/uvzXSNrnrNrzCr9sLw266Kz7EA6wXuHbBG1wlKw+Iz3hAWgMV0E6fijJsGRx0bV+i0l5B5cnNCyVq+f7BtT7sixfWaQTvDSBZfj6C+bZ46SLOZElNKPt72t068My4F0gu9Idwl76Z0T86b0YVgOpBO8Jf32v2yeXcUqPYtPv9h0FZ8NYlgOpBP0fj19y70byVPYzOxJDzEsB9IJepeOTw/uyR3in+xg6pLOsBxIJ+heOsb7evc/Jr82VxEgneAH0jHe2mUEy2aOQbqA/qWvjl9eXr66ffwVluVAOkH30uc0m9luMvdn/6TlDIblQDpB99Ib7sInqxM9hQsYlgPpBN1LD92Kfwlk/gwgnaB76R82mBD6BvNyIJ2ge+l4x6yN7MvFXc9lJiuHOTTHnM0em8WeQmYme6wLzWabXfhoLO2+oL5hB8ikZ67fXVy8NGbqGZbldDfBLnuskSbYPXonQlGv1X68ffUDDMtB907Qffce2Sfzr/Dqv+Ly0Y8wLAfSCbqXXnsdxh+Hc4Xd9RiWA+kEn5F+rHvd4c4HNorIjtNTMD7wDlfY1pRhOZBO8IL0fzgUlWUtV+SPeok5FUl6TLujReQ5u88whuVAOkF76f/848j67pYY/xpU7mgBR0jSr/ZCZDtfFtCa5eQ7SCdoLv0fx9JXDOYeqplZU5FfZfvtd+5h/5dMHxqkE3xF+rux3EP9s6ypwM+aFPiydEr3vozf0q+ypuJA+owQhuVAOsFL0hW1P7TFOCOIORcH0j8bwrAcSCd4Z+9dWVnW9LuyieyHe9C9K/Bt6Y450e2uoex/Dpn0tBF93yQD5Pb1Y1gOpBN8RrprSNI33hYxJLgnd6i+gWXrB+kE3UvvMh7jCw0TQLqRpAf+yD1sueMCSGcP1b30e/j5Gwb1KwfpzOhe+ozgL//A+Eq90R+CdFZ0L7302dvCuKcTdyOQzorupWNs5gdKle1azLAcSCfoXbrNGKnrF5wtB9IJkvTnBCqI9UXpj0asE2djOhN3N9xoiAm9S8erOzcaNn/ZqoUTu8AtxVjRvXSM989+tGOriHFr4eaBrPiBdFcA6QSQTgWkE/QkXZpgVyphkC7gDemMc05VBPsEu7KpdjFIF/DGcTplooJZR5kzcWGCXalEqIR0xyN+BEC6MxzPTnFlVY09zJk4HUQhTbArlXbNnz9/1PUbzOTk2bwUxvY5Ds0z5zI3m5/NnkJWlgux7KG55nzm2LwchiDnE+w6npPk1X6Bbkl3PIhCmmBXKn0+aNCgEdezmcnKkr+yjOKlxJqzKG84INOFUFdi2UOzzC7Esnwypz9Vpk5E084t6Y4HUUgT7NpOtet+904Zui0A3bsTqNMPuSfd8SAKaYJdqUQA6QTNpdMnnXJPuuNBFNIEu2JJAHbkCFpLr2CmMfekUwZRSBPsWkoClTpkoynXr3Tnh+mePjnjnnQYRGHBSNJhEIUFfUp3Bbl04ua3a2zLgXSC7qWf6DeAe0xE3ZwOoCCAdILepR+pEf41JufzOgWwzM8N0gl6lz7wfstoqbwugxmWU0e6Yjder9IZ8EXpIcvE0qImDMupId3BATtI1wKr9NrrxVKKRhP3ODo1B9K1wCo9IkEsvdKNYTmQTtC79EU1LCPff6z2DsNy6km3sa5j6c725XxRenlUwDMph498E1u1L8vOtmrf6SBdjuYnZ9a2MyGEWqxkugcdSCfoXzpn5+jBfMblQDpB99KLUpdvZ/mZg4Aqx+kg3R6Npf/aiuvbm59kXU6lkzP21kG6FlilRzXadHnzXX1Zl1NxSwfpEhpLr08GxSytybocSCf4zHH6D+FBXfcxR1ulox1kWeZfOYF0gubSKd3J1cD1N95sWMSaiiQ9lXtI01a6v3ynM1xj86z0dQ9yf7qgUwwr4PGudMU8BXqU/txzXpdemIXx2eBihhXwSNLbdO3atS3qSmBYDq6nE+ykVyjfk9I5UpssZ2hfwCp9jAyG5UA6wWek541ptZOheQvw+3QFOpReHPE8814cBukO0KH0de1vFBQUVOYm/0yAdILm0ikkIALL2EYed6XDBLsEfoJdi+pceckBvjnBrkvAlk6wOznjtS3dRUC6Al8+I6cOIF0BSKcB0gkgnUoFAyPt60C6FnhPusMbUoB0LQDpCkA6DZBOAOlUQDoBpGOQ7hB/l060K6p0K935OAqQTkP/0qn2QToNkK4FIF1BZaRLl1kVgHQaIF0LQLoCkE4DpBNAOhUjSLcA0kWMJ91RLEinoXfpFQDSabf/Bula4CXptBv9g3Qt8I506oweepbu5PQ7SKdZB+laANIVgHQa0L0T/FW6NK3urKioqMlitRo7crClK/AN6bJpdePS8/OtN5pTRbofDaLA/iRdmla39OlSWT1IJ/ipdGla3atDpw2dfoHUbZ4+fXrs9XxmsvMUVRbpivo8cy5zs3nZ7ClkZrHHuhCaY1Z+NBq5OQxBzifYVQNn0qVpddNnXyxeO5ZstJWbYJdHvO234g2YYFcDKpK+bezYLbbT6pbHZFhKlT0NS+nf9dy9O0FH3bs0re55cpuy2EuWepBO8NPfp0sT7B6KTi/99uXKz6os4Ic7cv4jXTbB7vb46Dl/idWVv8rmd8fpfiSdAlxPJ4B0KiCdANJpgHQtAOkKQDoNkE7w0+N0GiCdANKpVCzd5tgNpGuB16XbnqUB6VrgI9JF6yBdC0C6ApBOA6QTQDoV5ztyfvKdDsfpEk4O2fxn7x2kSxjmOB2kS4B0AkinAdK1AKQrAOk0QDoBpFMxjPQKAek0QLoWgHQFIJ0GSCeAdCognQDSaYB0LQDpCkA6DZhgl8BPsMsITLBLA7Z0LQDpCkA6DZBOAOlUQDoBpNMA6VoA0hWAdBognQDSqYB0AkinAdK1AKQrAOk0QDoBpFMB6QSQTgOkawFIVwDSaYB0AkinAtIJIJ0GSNcCkK4ApNMA6QSQTgWkE0A6DZCuBSBdAUinAdIJIJ0KSCeAdBogXQtAugKQzpFsmYtNmmoXg3QBf5Wevevps3xBNtUuBukC/ip9+eyhgnRpql0CSCf4q3SM4wXp0lS7KkywSwMm2NUCdunSVLurY2NjY67nMJOVzRyabc5ij2UPzcnMdCGWPTTLzB7LlK73f6pMJtjFVum2U+1C907w++5dmmqX8EZMPDPjJzCHxkW/wBw7YTx7CiNj2WPHsYc+G82eA1O6Uz1nWgar9FO54lS7AnMHeSSdM+H7PNLuqFc90uyGcLNH2vUwrNKj94pT7QqAdIL/SncISCcYTHrqKlXTELmW9F+PtLt2k0eaPZNU6DzI93BXOqBjQLoBAekGxG3pOfOip/ymZiYCO8YOS7yqdqM21wdVxCPJaoDb0idvLtowXs1MeC7FpBcunKNyo7bXB9XDI8lqgbvST03k/pjXyp0HusaBJRifGKdyo7bXB9XDI8lqgbvSt8/6zzOv/65mJhYKz8xLVrlJ6fqg2nggWS1wV3pK1A83vxnLfiWFmXNTY06p3KR0fVBtPJCsFrgjnVx928Z170VPZ6iZiuWiHj45rFTNZu2vD6qL6slqgbtb+tHpGP89RPWt59vvuWafUPncpu31QfXwSLJa4K700mf3lH49kf1qMiMH484XfjFeZT+21wfVwyPJaoHbh2wZrwx//U81MxH4bsLwmar3HzbXB1XEI8lqAJyRMyAg3YCAdAMC0g0ISDcgIN2A6Fj6GMRx5+B0rlie1KtOo6ijQn2JdPbgsYNMLW3J4h4O9VM/RR9Fz9LbpKbu+DikVRHGUTX+L+XT7jVO8vU9rOPh1kRgnD+pacPhZrwB8dQh1dbyosYhc7nXp+/l/00eWOONT+EN9Cy9K3nchFLx1wEHuFJpONlWby1EVumd12H8SJuU7X06lP65htBjMKkWyzsbbEltxpkevJGPXt/ZCx/CK+he+mW0HLcfzVd8PaAEL6uGrNL3NyrFBxHX6efXS+ErDt4pjXPhyrMmYDxzIt7XU6gpC/XM8GvfQ/fSN6PtBaYUa2XObyes0mcPw3hlVXJuvDf/G7Hijl9Y40h5Q+ihU+2W495plrroNzTJ2/voWXrbtLQfPr2rWcFRdFhWXWCV/uh8jFPRWYyLGvHd+qIw6eIIX06sWf2l8q39xbp3IjXJ2/voWTrZG6vZ5yTXhR+RVUvSOy7jtuhOnTelDgh4mHt5o4H0iwdLubQEl3c5xu3w85Ur2muUubfRs/SulkI++oZ/vpJIhudK0luRX+FcHla/2ZyBMVzp/bbSslJ59Qh88j5T2Amu+FVzDbL2BfxBOm4Ryz+tQtewXHrEQjHg3mncQ7u3pWWt5ZL26bjDzCsz23HlpB6eTdhn8AvpK6v+yD3mdepGXkjSx03kduwid3MH4ugQxgfQReuiUvmTeFxoysF5t+Vh/PJYjTL3Nn4hvbxvtdfWJ4UH8PtzkvS1XbiHyNarU1o9wRVmN+MrP5shlTEubHkF4/teOjelE/ei+2rNcvcufiEdlywIr9V4kDAwVZJeUPcMxteH12kzneyoRcTwlUNCpDLGCxK4h/Q+tXqfx/h8XRfuZ6JrdCzdOa+5dLOm+GmeysPX8GvpOS2uswdntczxXCa+hV9Lx0cusMdePOI8xk/wb+mAQ0C6AQHpBgSkGxCQbkBAugEB6QYEpBsQkG5A/gf7bB0G0uapUAAAAABJRU5ErkJggg==)
lmpScorePlot(resASCAE, effectNames = "Citrate", color = "Citrate",
shape = "Citrate")
![](data:image/png;base64,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)
lmpScorePlot(resASCAE, effectNames = "Time", color = "Time",
shape = "Time")
Warning in FUN(X[[i]], ...): The variance of PC2 is inferior to 1%. Graph
scaled
![](data:image/png;base64,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)
lmpScorePlot(resASCAE, effectNames = "Hippurate:Time", color = "Hippurate",
shape = "Time")
![](data:image/png;base64,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)
Again, the scores profiles can be compared 2 by 2 with ASCA-E.
lmpScoreScatterPlotM(resASCAE, effectNames = c("Hippurate", "Citrate",
"Time", "Hippurate:Time"), modelAbbrev = TRUE, varname.colorup = "Citrate",
varname.colordown = "Time", varname.pchup = "Hippurate",
varname.pchdown = "Time", title = "ASCA-E scores scatterplot matrix")
![](data:image/png;base64,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)
sessionInfo
sessionInfo()
R version 4.4.0 RC (2024-04-16 r86468)
Platform: x86_64-pc-linux-gnu
Running under: Ubuntu 22.04.4 LTS
Matrix products: default
BLAS: /home/biocbuild/bbs-3.20-bioc/R/lib/libRblas.so
LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.10.0
locale:
[1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C
[3] LC_TIME=en_GB LC_COLLATE=C
[5] LC_MONETARY=en_US.UTF-8 LC_MESSAGES=en_US.UTF-8
[7] LC_PAPER=en_US.UTF-8 LC_NAME=C
[9] LC_ADDRESS=C LC_TELEPHONE=C
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C
time zone: America/New_York
tzcode source: system (glibc)
attached base packages:
[1] stats4 stats graphics grDevices utils datasets methods
[8] base
other attached packages:
[1] SummarizedExperiment_1.35.0 Biobase_2.65.0
[3] GenomicRanges_1.57.0 GenomeInfoDb_1.41.0
[5] IRanges_2.39.0 S4Vectors_0.43.0
[7] BiocGenerics_0.51.0 MatrixGenerics_1.17.0
[9] matrixStats_1.3.0 car_3.1-2
[11] carData_3.0-5 pander_0.6.5
[13] gridExtra_2.3 limpca_1.1.0
[15] ggplot2_3.5.1 BiocStyle_2.33.0
loaded via a namespace (and not attached):
[1] gtable_0.3.5 xfun_0.43 bslib_0.7.0
[4] ggrepel_0.9.5 lattice_0.22-6 vctrs_0.6.5
[7] tools_4.4.0 generics_0.1.3 parallel_4.4.0
[10] tibble_3.2.1 fansi_1.0.6 highr_0.10
[13] pkgconfig_2.0.3 Matrix_1.7-0 tidyverse_2.0.0
[16] lifecycle_1.0.4 GenomeInfoDbData_1.2.12 farver_2.1.1
[19] stringr_1.5.1 compiler_4.4.0 munsell_0.5.1
[22] ggsci_3.0.3 codetools_0.2-20 htmltools_0.5.8.1
[25] sass_0.4.9 yaml_2.3.8 tidyr_1.3.1
[28] pillar_1.9.0 crayon_1.5.2 jquerylib_0.1.4
[31] cachem_1.0.8 DelayedArray_0.31.0 iterators_1.0.14
[34] abind_1.4-5 foreach_1.5.2 tidyselect_1.2.1
[37] digest_0.6.35 stringi_1.8.3 purrr_1.0.2
[40] reshape2_1.4.4 dplyr_1.1.4 bookdown_0.39
[43] labeling_0.4.3 fastmap_1.1.1 grid_4.4.0
[46] colorspace_2.1-0 cli_3.6.2 SparseArray_1.5.0
[49] magrittr_2.0.3 S4Arrays_1.5.0 utf8_1.2.4
[52] withr_3.0.0 scales_1.3.0 UCSC.utils_1.1.0
[55] rmarkdown_2.26 XVector_0.45.0 httr_1.4.7
[58] evaluate_0.23 knitr_1.46 doParallel_1.0.17
[61] rlang_1.1.3 Rcpp_1.0.12 glue_1.7.0
[64] formatR_1.14 BiocManager_1.30.22 jsonlite_1.8.8
[67] plyr_1.8.9 R6_2.5.1 zlibbioc_1.51.0
References
Thiel, Michel, Nadia Benaiche, Manon Martin, Sébastien Franceschini, Robin Van Oirbeek, and Bernadette Govaerts. 2023. “Limpca: An R Package for the Linear Modeling of High-Dimensional Designed Data Based on Asca/Apca Family of Methods.” Journal of Chemometrics 37 (7): e3482. https://doi.org/https://doi.org/10.1002/cem.3482.
Thiel, Michel, Baptiste Féraud, and Bernadette Govaerts. 2017. “ASCA+ and Apca+: Extensions of Asca and Apca in the Analysis of Unbalanced Multifactorial Designs.” Journal of Chemometrics 31 (6): e2895. https://doi.org/https://doi.org/10.1002/cem.2895.